18178655562382559504603600172348702425295980655038020769681684834586255227122204987<83>

1503944237661379360868402573256481<34>
12087320199218433786007971497669328028718661880027<50>

Number: 29993_101
N=18178655562382559504603600172348702425295980655038020769681684834586255227122204987
  ( 83 digits)
Divisors found:
 r1=1503944237661379360868402573256481 (pp34)
 r2=12087320199218433786007971497669328028718661880027 (pp50)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 2.70 hours.
Scaled time: 1.84 units (timescale=0.683).
Factorization parameters were as follows:
name: 29993_101
n:  18178655562382559504603600172348702425295980655038020769681684834586255227122204987
m:  13520163201302496320
deg: 4
c4: 544044
c3: 1525702999
c2: -2090212604885881
c1: -5785762335682389
c0: 1219195069438556895867
skew: 1379.250
type: gnfs
# adj. I(F,S) = 47.935
# E(F1,F2) = 1.453982e-03
# GGNFS version 0.77.1-20060722-pentium4 polyselect.
# Options were: 
# lcd=1, enumLCD=12, maxS1=56.00000000, seed=1188103115.
# maxskew=1500.0
# These parameters should be manually set:
rlim: 550000
alim: 550000
lpbr: 24
lpba: 24
mfbr: 40
mfba: 40
rlambda: 1.9
alambda: 1.9
qintsize: 10000

type: gnfs
Factor base limits: 550000/550000
Large primes per side: 3
Large prime bits: 24/24
Max factor residue bits: 40/40
Sieved algebraic special-q in [275000, 555001)
Primes: RFBsize:45322, AFBsize:45360, largePrimes:833800 encountered
Relations: rels:815718, finalFF:104325
Max relations in full relation-set: 0
Initial matrix: 90757 x 104325 with sparse part having weight 2839349.
Pruned matrix : 78966 x 79483 with weight 2017468.
Polynomial selection time: 0.10 hours.
Total sieving time: 2.49 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,82,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,550000,550000,24,24,40,40,1.9,1.9,10000
total time: 2.70 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

545157186988915137197892058876976194802834817372342358713429038706160276212974741050336180265309831<99>

3539577321355187357058316586614016942558507<43>
154017595180034784335600556931964288371618563510589261333<57>

Number: 29993_102
N=545157186988915137197892058876976194802834817372342358713429038706160276212974741050336180265309831
  ( 99 digits)
SNFS difficulty: 102 digits.
Divisors found:
 r1=3539577321355187357058316586614016942558507 (pp43)
 r2=154017595180034784335600556931964288371618563510589261333 (pp57)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.35 hours.
Scaled time: 0.76 units (timescale=2.144).
Factorization parameters were as follows:
n: 545157186988915137197892058876976194802834817372342358713429038706160276212974741050336180265309831
m: 100000000000000000000
c5: 300
c0: -7
skew: 0.47
type: snfs
Factor base limits: 240000/240000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [120000, 195001)
Primes: RFBsize:21221, AFBsize:21254, largePrimes:888627 encountered
Relations: rels:745957, finalFF:50115
Max relations in full relation-set: 28
Initial matrix: 42541 x 50115 with sparse part having weight 1437684.
Pruned matrix : 37570 x 37846 with weight 922534.
Total sieving time: 0.34 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,102,5,0,0,0,0,0,0,0,0,240000,240000,25,25,43,43,2.1,2.1,15000
total time: 0.35 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407677)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405121)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405131)
Total of 4 processors activated (19246.10 BogoMIPS).

Core 2 Quad Q6600

1761609046186588232628906784240055920987324559373280100718000725465837400560765961236391885739829381<100>

277589851523296053332037672941<30>
1002459894818158467774433246518331<34>
6330513515041898460559917424038309211<37>

Number: 29993_107
N=1761609046186588232628906784240055920987324559373280100718000725465837400560765961236391885739829381
  ( 100 digits)
SNFS difficulty: 107 digits.
Divisors found:
 r1=277589851523296053332037672941 (pp30)
 r2=1002459894818158467774433246518331 (pp34)
 r3=6330513515041898460559917424038309211 (pp37)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.45 hours.
Scaled time: 0.95 units (timescale=2.129).
Factorization parameters were as follows:
n: 1761609046186588232628906784240055920987324559373280100718000725465837400560765961236391885739829381
m: 1000000000000000000000
c5: 300
c0: -7
skew: 0.47
type: snfs
Factor base limits: 360000/360000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [180000, 260001)
Primes: RFBsize:30757, AFBsize:30684, largePrimes:962858 encountered
Relations: rels:879575, finalFF:80338
Max relations in full relation-set: 28
Initial matrix: 61507 x 80338 with sparse part having weight 3456094.
Pruned matrix : 53164 x 53535 with weight 1683537.
Total sieving time: 0.42 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,107,5,0,0,0,0,0,0,0,0,360000,360000,25,25,44,44,2.2,2.2,20000
total time: 0.45 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407677)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405121)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405131)
Total of 4 processors activated (19246.10 BogoMIPS).

Core 2 Quad Q6600

315625778553815587004811754086956831579675851159971598797911152419592933173695849<81>

2248059687775148500471809593908702163<37>
140399198593424783364159287344550310097264723<45>

Sun Aug 26 13:50:58 2007  Msieve v. 1.26
Sun Aug 26 13:50:58 2007  random seeds: 1451f000 cc105488
Sun Aug 26 13:50:58 2007  factoring 315625778553815587004811754086956831579675851159971598797911152419592933173695849 (81 digits)
Sun Aug 26 13:50:59 2007  commencing quadratic sieve (81-digit input)
Sun Aug 26 13:50:59 2007  using multiplier of 41
Sun Aug 26 13:50:59 2007  using 64kb Pentium 2 sieve core
Sun Aug 26 13:50:59 2007  sieve interval: 6 blocks of size 65536
Sun Aug 26 13:50:59 2007  processing polynomials in batches of 17
Sun Aug 26 13:50:59 2007  using a sieve bound of 1317713 (50343 primes)
Sun Aug 26 13:50:59 2007  using large prime bound of 129135874 (26 bits)
Sun Aug 26 13:50:59 2007  using trial factoring cutoff of 27 bits
Sun Aug 26 13:50:59 2007  polynomial 'A' values have 10 factors
Sun Aug 26 15:12:14 2007  50617 relations (26609 full + 24008 combined from 267360 partial), need 50439
Sun Aug 26 15:12:16 2007  begin with 293969 relations
Sun Aug 26 15:12:16 2007  reduce to 71642 relations in 2 passes
Sun Aug 26 15:12:16 2007  attempting to read 71642 relations
Sun Aug 26 15:12:19 2007  recovered 71642 relations
Sun Aug 26 15:12:19 2007  recovered 60192 polynomials
Sun Aug 26 15:12:19 2007  attempting to build 50617 cycles
Sun Aug 26 15:12:19 2007  found 50617 cycles in 1 passes
Sun Aug 26 15:12:19 2007  distribution of cycle lengths:
Sun Aug 26 15:12:19 2007     length 1 : 26609
Sun Aug 26 15:12:19 2007     length 2 : 24008
Sun Aug 26 15:12:19 2007  largest cycle: 2 relations
Sun Aug 26 15:12:19 2007  matrix is 50343 x 50617 with weight 1561449 (avg 30.85/col)
Sun Aug 26 15:12:22 2007  filtering completed in 4 passes
Sun Aug 26 15:12:22 2007  matrix is 42140 x 42204 with weight 1269497 (avg 30.08/col)
Sun Aug 26 15:12:24 2007  saving the first 48 matrix rows for later
Sun Aug 26 15:12:24 2007  matrix is 42092 x 42204 with weight 1011189 (avg 23.96/col)
Sun Aug 26 15:12:24 2007  matrix includes 64 packed rows
Sun Aug 26 15:12:24 2007  commencing Lanczos iteration
Sun Aug 26 15:15:12 2007  lanczos halted after 667 iterations
Sun Aug 26 15:15:13 2007  recovered 13 nontrivial dependencies
Sun Aug 26 15:15:13 2007  prp37 factor: 2248059687775148500471809593908702163
Sun Aug 26 15:15:13 2007  prp45 factor: 140399198593424783364159287344550310097264723
Sun Aug 26 15:15:13 2007  elapsed time 01:24:15

Celeron 750MHz,Windows 2000)

349688293683149068972402483299761314427008338550488403811649026252149271675050054965171628762981157978797<105>

27835335642957025433655367694790412609627019<44>
12562747515193989773402390442014510943362606451247158043351463<62>

Number: 29993_111
N=349688293683149068972402483299761314427008338550488403811649026252149271675050054965171628762981157978797
  ( 105 digits)
SNFS difficulty: 111 digits.
Divisors found:
 r1=27835335642957025433655367694790412609627019 (pp44)
 r2=12562747515193989773402390442014510943362606451247158043351463 (pp62)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.69 hours.
Scaled time: 1.46 units (timescale=2.124).
Factorization parameters were as follows:
n: 349688293683149068972402483299761314427008338550488403811649026252149271675050054965171628762981157978797
m: 10000000000000000000000
c5: 30
c0: -7
skew: 0.75
type: snfs
Factor base limits: 360000/360000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [180000, 320001)
Primes: RFBsize:30757, AFBsize:30494, largePrimes:1020947 encountered
Relations: rels:931251, finalFF:80704
Max relations in full relation-set: 28
Initial matrix: 61318 x 80704 with sparse part having weight 3972837.
Pruned matrix : 55579 x 55949 with weight 2017566.
Total sieving time: 0.66 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,111,5,0,0,0,0,0,0,0,0,360000,360000,25,25,44,44,2.2,2.2,20000
total time: 0.69 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407677)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405121)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405131)
Total of 4 processors activated (19246.10 BogoMIPS).

Core 2 Quad Q6600

52530204867798984416039222552967956575030642619506216074242689546489231308002101208194711959376641568902118718263<113>

3219174617934997967729103654362313099113789<43>
16317910987225509303709497983754427492567247926719168101616013003489667<71>

Number: 29993_116
N=52530204867798984416039222552967956575030642619506216074242689546489231308002101208194711959376641568902118718263
  ( 113 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=3219174617934997967729103654362313099113789 (pp43)
 r2=16317910987225509303709497983754427492567247926719168101616013003489667 (pp71)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.83 hours.
Scaled time: 1.78 units (timescale=2.145).
Factorization parameters were as follows:
n: 52530204867798984416039222552967956575030642619506216074242689546489231308002101208194711959376641568902118718263
m: 100000000000000000000000
c5: 30
c0: -7
skew: 0.75
type: snfs
Factor base limits: 600000/600000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [300000, 420001)
Primes: RFBsize:49098, AFBsize:48776, largePrimes:1881701 encountered
Relations: rels:1830654, finalFF:116660
Max relations in full relation-set: 28
Initial matrix: 97941 x 116660 with sparse part having weight 9492117.
Pruned matrix : 92238 x 92791 with weight 6099665.
Total sieving time: 0.77 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,116,5,0,0,0,0,0,0,0,0,600000,600000,25,25,46,46,2.4,2.4,30000
total time: 0.83 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407677)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405121)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405131)
Total of 4 processors activated (19246.10 BogoMIPS).

Core 2 Quad Q6600

40959181770543213619060402870043933276823141622498530960829661372304663576743954789636163799123<95>

218367804382939724096025924452209<33>
187569691815535808504272490616328250324358050799297959129311747<63>

Number: 29993_117
N=40959181770543213619060402870043933276823141622498530960829661372304663576743954789636163799123
  ( 95 digits)
Divisors found:
 r1=218367804382939724096025924452209 (pp33)
 r2=187569691815535808504272490616328250324358050799297959129311747 (pp63)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 10.53 hours.
Scaled time: 7.19 units (timescale=0.683).
Factorization parameters were as follows:
name: 29993_117
n:  40959181770543213619060402870043933276823141622498530960829661372304663576743954789636163799123
m:  5448565826898695520624
deg: 4
c4: 46475328
c3: 101344500712
c2: -472255512414059034
c1: -394563556785377973
c0: 235363264286578010957443
skew: 1635.250
type: gnfs
# adj. I(F,S) = 55.318
# E(F1,F2) = 3.772756e-05
# GGNFS version 0.77.1-20060722-pentium4 polyselect.
# Options were: 
# lcd=1, enumLCD=24, maxS1=60.00000000, seed=1188142345.
# maxskew=2000.0
# These parameters should be manually set:
rlim: 1200000
alim: 1200000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.4
alambda: 2.4
qintsize: 60000

type: gnfs
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [600000, 1440001)
Primes: RFBsize:92938, AFBsize:92847, largePrimes:1898276 encountered
Relations: rels:1986717, finalFF:212386
Max relations in full relation-set: 0
Initial matrix: 185859 x 212386 with sparse part having weight 15227931.
Pruned matrix : 173280 x 174273 with weight 11148304.
Polynomial selection time: 0.17 hours.
Total sieving time: 9.50 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.66 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
gnfs,94,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 10.53 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

72097153886714024932882352086117787528471155467902080177717553304923243985903849091<83>

188290868464416554619696945024940247957<39>
382903082208360177830892669855412560821185463<45>

Number: 29993_119
N=72097153886714024932882352086117787528471155467902080177717553304923243985903849091
  ( 83 digits)
Divisors found:
 r1=188290868464416554619696945024940247957 (pp39)
 r2=382903082208360177830892669855412560821185463 (pp45)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 2.71 hours.
Scaled time: 1.85 units (timescale=0.683).
Factorization parameters were as follows:
name: 29993_119
n:  72097153886714024932882352086117787528471155467902080177717553304923243985903849091
m:  15077363100825086328
deg: 4
c4: 1395136
c3: 4169473474
c2: -4457287606760667
c1: -10940135386059515
c0: 222330235747687799275
skew: 1379.250
type: gnfs
# adj. I(F,S) = 48.893
# E(F1,F2) = 1.238494e-03
# GGNFS version 0.77.1-20060722-pentium4 polyselect.
# Options were: 
# lcd=1, enumLCD=2, maxS1=56.00000000, seed=1188114582.
# maxskew=1500.0
# These parameters should be manually set:
rlim: 550000
alim: 550000
lpbr: 24
lpba: 24
mfbr: 40
mfba: 40
rlambda: 1.9
alambda: 1.9
qintsize: 10000

type: gnfs
Factor base limits: 550000/550000
Large primes per side: 3
Large prime bits: 24/24
Max factor residue bits: 40/40
Sieved algebraic special-q in [275000, 555001)
Primes: RFBsize:45322, AFBsize:45273, largePrimes:832054 encountered
Relations: rels:813824, finalFF:104604
Max relations in full relation-set: 0
Initial matrix: 90669 x 104604 with sparse part having weight 2856065.
Pruned matrix : 78768 x 79285 with weight 2014929.
Polynomial selection time: 0.14 hours.
Total sieving time: 2.45 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,82,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,550000,550000,24,24,40,40,1.9,1.9,10000
total time: 2.71 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

171984981557338943720876089963265461754031849148782559859775844954175603505748020782384283778686631879<102>

83874866130091704225931620360708407017715883677<47>
2050494856118000514981197734640153342657783824277403827<55>

Number: 29993_122
N=171984981557338943720876089963265461754031849148782559859775844954175603505748020782384283778686631879
  ( 102 digits)
SNFS difficulty: 122 digits.
Divisors found:
 r1=83874866130091704225931620360708407017715883677 (pp47)
 r2=2050494856118000514981197734640153342657783824277403827 (pp55)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 2.62 hours.
Scaled time: 1.79 units (timescale=0.683).
Factorization parameters were as follows:
name: 29993_122
n: 171984981557338943720876089963265461754031849148782559859775844954175603505748020782384283778686631879
m: 1000000000000000000000000
c5: 300
c0: -7
skew: 0.47
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 600001)
Primes: RFBsize:49098, AFBsize:64153, largePrimes:2107885 encountered
Relations: rels:2154235, finalFF:132169
Max relations in full relation-set: 0
Initial matrix: 113317 x 132169 with sparse part having weight 7558650.
Pruned matrix : 105278 x 105908 with weight 5324836.
Total sieving time: 2.35 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.15 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,122,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.62 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

493922938997974498580414521518774754063241395387693330419187722978244874523656899408600794577962409<99>

25717660438571745381489038333885826323571075209<47>
19205593766110280619993552722286434599284651570080801<53>

Number: 29993_123
N=493922938997974498580414521518774754063241395387693330419187722978244874523656899408600794577962409
  ( 99 digits)
SNFS difficulty: 123 digits.
Divisors found:
 r1=25717660438571745381489038333885826323571075209 (pp47)
 r2=19205593766110280619993552722286434599284651570080801 (pp53)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 2.60 hours.
Scaled time: 1.78 units (timescale=0.683).
Factorization parameters were as follows:
name: 29993_123
n: 493922938997974498580414521518774754063241395387693330419187722978244874523656899408600794577962409
m: 1000000000000000000000000
c5: 3000
c0: -7
skew: 0.3
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 600001)
Primes: RFBsize:49098, AFBsize:63898, largePrimes:2059050 encountered
Relations: rels:2063041, finalFF:130571
Max relations in full relation-set: 0
Initial matrix: 113063 x 130571 with sparse part having weight 8675304.
Pruned matrix : 106089 x 106718 with weight 6142343.
Total sieving time: 2.31 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.17 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,123,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.60 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

240894616469499568232342324414062368452631433109656235581566054386083610865203017018054074083650312745503<105>

32069277584934255341895947641<29>
7511694512964920660213222237541918019312926923461518825741959466812334839383<76>

Number: 29993_124
N=240894616469499568232342324414062368452631433109656235581566054386083610865203017018054074083650312745503
  ( 105 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=32069277584934255341895947641 (pp29)
 r2=7511694512964920660213222237541918019312926923461518825741959466812334839383 (pp76)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 3.48 hours.
Scaled time: 2.38 units (timescale=0.683).
Factorization parameters were as follows:
name: 29993_124
n: 240894616469499568232342324414062368452631433109656235581566054386083610865203017018054074083650312745503
m: 10000000000000000000000000
c5: 3
c0: -70
skew: 1.88
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 700001)
Primes: RFBsize:49098, AFBsize:63523, largePrimes:2122134 encountered
Relations: rels:2121787, finalFF:127648
Max relations in full relation-set: 0
Initial matrix: 112686 x 127648 with sparse part having weight 11268270.
Pruned matrix : 108940 x 109567 with weight 8489035.
Total sieving time: 3.12 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.23 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,125,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 3.48 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529<126>

1947761627248864935777984869025486217<37>
90601737793013067707297429917950567899839201443202358104654069381901149336940160966925537<89>

Number: 29993_126
N=176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529
  ( 126 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=1947761627248864935777984869025486217 (pp37)
 r2=90601737793013067707297429917950567899839201443202358104654069381901149336940160966925537 (pp89)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 1.98 hours.
Scaled time: 4.25 units (timescale=2.144).
Factorization parameters were as follows:
n: 176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529
m: 10000000000000000000000000
c5: 30
c0: -7
skew: 0.75
type: snfs
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [500000, 900001)
Primes: RFBsize:78498, AFBsize:77956, largePrimes:1553141 encountered
Relations: rels:1599584, finalFF:219775
Max relations in full relation-set: 28
Initial matrix: 156521 x 219775 with sparse part having weight 11340321.
Pruned matrix : 126978 x 127824 with weight 5262878.
Total sieving time: 1.91 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,126,5,0,0,0,0,0,0,0,0,1000000,1000000,25,25,44,44,2.2,2.2,50000
total time: 1.98 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407677)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405121)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405131)
Total of 4 processors activated (19246.10 BogoMIPS).

Core 2 Quad Q6600

2264221228240843430860612299610477719961224154829802377186244279416764084156061387777267380382909546467657520568921509239<121>

7537788328018616405984189140699812345322214029<46>
300382702420089950889070923665817867552296755414839069498484220494663049491<75>

Number: 29993_128
N=2264221228240843430860612299610477719961224154829802377186244279416764084156061387777267380382909546467657520568921509239
  ( 121 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=7537788328018616405984189140699812345322214029 (pp46)
 r2=300382702420089950889070923665817867552296755414839069498484220494663049491 (pp75)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 2.00 hours.
Scaled time: 4.28 units (timescale=2.143).
Factorization parameters were as follows:
n: 2264221228240843430860612299610477719961224154829802377186244279416764084156061387777267380382909546467657520568921509239
m: 20000000000000000000000000
c5: 375
c0: -28
skew: 0.6
type: snfs
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [500000, 900001)
Primes: RFBsize:78498, AFBsize:78556, largePrimes:1541786 encountered
Relations: rels:1589228, finalFF:219946
Max relations in full relation-set: 28
Initial matrix: 157121 x 219946 with sparse part having weight 11082418.
Pruned matrix : 127164 x 128013 with weight 5146045.
Total sieving time: 1.92 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,129,5,0,0,0,0,0,0,0,0,1000000,1000000,25,25,44,44,2.2,2.2,50000
total time: 2.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407677)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405121)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405131)
Total of 4 processors activated (19246.10 BogoMIPS).

Core 2 Quad Q6600

2999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993<130>

13634014563100632163485094139<29>
139215960043020963366563162682325387847822463557<48>
1580550856695477889083277991070258583743421455170186591<55>

Number: 29993_129
N=2999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993
  ( 130 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=13634014563100632163485094139 (pp29)
 r2=139215960043020963366563162682325387847822463557 (pp48)
 r3=1580550856695477889083277991070258583743421455170186591 (pp55)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 2.83 hours.
Scaled time: 6.07 units (timescale=2.146).
Factorization parameters were as follows:
n: 2999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993
m: 100000000000000000000000000
c5: 3
c0: -70
skew: 1.88
type: snfs
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [500000, 1100001)
Primes: RFBsize:78498, AFBsize:78021, largePrimes:1578298 encountered
Relations: rels:1600735, finalFF:197381
Max relations in full relation-set: 28
Initial matrix: 156584 x 197381 with sparse part having weight 12021455.
Pruned matrix : 141849 x 142695 with weight 6882715.
Total sieving time: 2.73 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,130,5,0,0,0,0,0,0,0,0,1000000,1000000,25,25,44,44,2.2,2.2,50000
total time: 2.83 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407677)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405121)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405131)
Total of 4 processors activated (19246.10 BogoMIPS).

Core 2 Quad Q6600

950061506922361956173978053504580512762590466557036500602670856517685312193088447730154311<90>

59726562069597109314324525106720499<35>
15906850721045874492067807848099118867247459356850020189<56>

Number: 29993_131
N=950061506922361956173978053504580512762590466557036500602670856517685312193088447730154311
  ( 90 digits)
Divisors found:
 r1=59726562069597109314324525106720499 (pp35)
 r2=15906850721045874492067807848099118867247459356850020189 (pp56)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 4.36 hours.
Scaled time: 2.98 units (timescale=0.683).
Factorization parameters were as follows:
name: 29993_131
n:  950061506922361956173978053504580512762590466557036500602670856517685312193088447730154311
m:  576763940886060425848
deg: 4
c4: 8585376
c3: 46043290
c2: -8500336392011611
c1: -3690164694860894122
c0: -277517425059888154185
skew: 1635.250
type: gnfs
# adj. I(F,S) = 51.668
# E(F1,F2) = 1.698649e-04
# GGNFS version 0.77.1-20060722-pentium4 polyselect.
# Options were: 
# lcd=1, enumLCD=24, maxS1=58.00000000, seed=1188125202.
# maxskew=2000.0
# These parameters should be manually set:
rlim: 700000
alim: 700000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.4
alambda: 2.4
qintsize: 40000

type: gnfs
Factor base limits: 700000/700000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [350000, 710001)
Primes: RFBsize:56543, AFBsize:56519, largePrimes:1558747 encountered
Relations: rels:1522078, finalFF:127569
Max relations in full relation-set: 0
Initial matrix: 113135 x 127569 with sparse part having weight 11105184.
Pruned matrix : 108854 x 109483 with weight 7940686.
Polynomial selection time: 0.17 hours.
Total sieving time: 3.84 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.22 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,89,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,700000,700000,25,25,44,44,2.4,2.4,40000
total time: 4.36 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

1080412091966688465073393571002351107257249643609478820582139591078383292048067595486362712519605523810341<106>

63642234051349873089290850183434749198604956677859<50>
16976338245683764819391125937000990768709124738416339799<56>

Number: 29993_133
N=1080412091966688465073393571002351107257249643609478820582139591078383292048067595486362712519605523810341
  ( 106 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=63642234051349873089290850183434749198604956677859 (pp50)
 r2=16976338245683764819391125937000990768709124738416339799 (pp56)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 6.23 hours.
Scaled time: 4.26 units (timescale=0.683).
Factorization parameters were as follows:
name: 29993_133
n: 1080412091966688465073393571002351107257249643609478820582139591078383292048067595486362712519605523810341
m: 100000000000000000000000000
c5: 3000
c0: -7
skew: 0.3
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [400000, 1050001)
Primes: RFBsize:63951, AFBsize:63898, largePrimes:1485231 encountered
Relations: rels:1478487, finalFF:143556
Max relations in full relation-set: 0
Initial matrix: 127916 x 143556 with sparse part having weight 8668341.
Pruned matrix : 123225 x 123928 with weight 6769206.
Total sieving time: 5.87 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.23 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,133,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 6.23 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

31686184251217596357918040854365672841886369996089982649246803699536335662325290122709751508408702299412468090548693231<119>

6476427849686591970532300943502577690100886356016287<52>
4892540299472487410211328047955667103685004673915706548024083374513<67>

Number: 29993_137
N=31686184251217596357918040854365672841886369996089982649246803699536335662325290122709751508408702299412468090548693231
  ( 119 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=6476427849686591970532300943502577690100886356016287 (pp52)
 r2=4892540299472487410211328047955667103685004673915706548024083374513 (pp67)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 4.06 hours.
Scaled time: 8.71 units (timescale=2.144).
Factorization parameters were as follows:
n: 31686184251217596357918040854365672841886369996089982649246803699536335662325290122709751508408702299412468090548693231
m: 1000000000000000000000000000
c5: 300
c0: -7
skew: 0.47
type: snfs
Factor base limits: 1400000/1400000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [700000, 1450001)
Primes: RFBsize:107126, AFBsize:107463, largePrimes:1828766 encountered
Relations: rels:1902577, finalFF:244082
Max relations in full relation-set: 28
Initial matrix: 214655 x 244082 with sparse part having weight 14922660.
Pruned matrix : 203114 x 204251 with weight 10251762.
Total sieving time: 3.87 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,137,5,0,0,0,0,0,0,0,0,1400000,1400000,25,25,45,45,2.3,2.3,50000
total time: 4.06 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407677)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405121)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405131)
Total of 4 processors activated (19246.10 BogoMIPS).

Core 2 Quad Q6600

1156203248298208234556461217638104374790212162863416385692985595553452438217200154827872278873776193460016713<109>

37093886403445655363232597242736014387<38>
31169644391610806846824618395203670558943768245441618617177544108945299<71>

Number: 29993_140
N=1156203248298208234556461217638104374790212162863416385692985595553452438217200154827872278873776193460016713
  ( 109 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=37093886403445655363232597242736014387 (pp38)
 r2=31169644391610806846824618395203670558943768245441618617177544108945299 (pp71)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 11.33 hours.
Scaled time: 7.74 units (timescale=0.683).
Factorization parameters were as follows:
name: 29993_140
n: 1156203248298208234556461217638104374790212162863416385692985595553452438217200154827872278873776193460016713
m: 10000000000000000000000000000
c5: 3
c0: -7
skew: 1.18
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 1600001)
Primes: RFBsize:78498, AFBsize:63643, largePrimes:1541967 encountered
Relations: rels:1525645, finalFF:159967
Max relations in full relation-set: 0
Initial matrix: 142206 x 159967 with sparse part having weight 16090240.
Pruned matrix : 137684 x 138459 with weight 12233010.
Total sieving time: 10.69 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.48 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,140,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 11.33 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993<147>

1854775915575395694657042218355139211068315081<46>
161744606170893075229127752358828695970725053902533763048339214947771986894331414501673269180172824753<102>

Number: 29993_146
N=299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993
  ( 147 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=1854775915575395694657042218355139211068315081 (pp46)
 r2=161744606170893075229127752358828695970725053902533763048339214947771986894331414501673269180172824753 (pp102)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 11.47 hours.
Scaled time: 24.54 units (timescale=2.139).
Factorization parameters were as follows:
n: 299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993
m: 100000000000000000000000000000
c5: 30
c0: -7
skew: 0.75
type: snfs
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1650001)
Primes: RFBsize:135072, AFBsize:134628, largePrimes:3935573 encountered
Relations: rels:4115354, finalFF:442086
Max relations in full relation-set: 28
Initial matrix: 269767 x 442086 with sparse part having weight 44669293.
Pruned matrix : 216898 x 218310 with weight 21091258.
Total sieving time: 11.13 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.25 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1800000,1800000,26,26,48,48,2.3,2.3,75000
total time: 11.47 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407677)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405121)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405131)
Total of 4 processors activated (19246.10 BogoMIPS).

Core 2 Quad Q6600

107750767122114335539918675404254523033081059324968763324951362955270960653144758698026016767014068999370645903693836817954006385276819867<138>

420246714641792212696158791990420325985853003<45>
256398832799819491996337343700283603386076585422635350041027234530711778924253071751054434289<93>

Number: 29993_148
N=107750767122114335539918675404254523033081059324968763324951362955270960653144758698026016767014068999370645903693836817954006385276819867
  ( 138 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=420246714641792212696158791990420325985853003 (pp45)
 r2=256398832799819491996337343700283603386076585422635350041027234530711778924253071751054434289 (pp93)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 25.94 hours.
Scaled time: 17.71 units (timescale=0.683).
Factorization parameters were as follows:
name: 29993_148
n: 107750767122114335539918675404254523033081059324968763324951362955270960653144758698026016767014068999370645903693836817954006385276819867
m: 100000000000000000000000000000
c5: 3000
c0: -7
skew: 0.3
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [750000, 3150001)
Primes: RFBsize:114155, AFBsize:114337, largePrimes:2805135 encountered
Relations: rels:2752699, finalFF:257378
Max relations in full relation-set: 0
Initial matrix: 228559 x 257378 with sparse part having weight 32600512.
Pruned matrix : 220942 x 222148 with weight 25462064.
Total sieving time: 23.64 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 1.99 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,148,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 25.94 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

4964650195723663148673014912438607890251680869080947772444245371902122523865281156139686646296525198610886611<109>

21272798033221076607577777047006013<35>
233380215802854007300467394780726271343697166092228509059711875575719508047<75>

GMP-ECM 6.1.2 [powered by GMP 4.2.1] [ECM]
Input number is 4964650195723663148673014912438607890251680869080947772444245371902122523865281156139686646296525198610886611 (109 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2894591195
Step 1 took 16073ms
Step 2 took 11847ms
********** Factor found in step 2: 21272798033221076607577777047006013
Found probable prime factor of 35 digits: 21272798033221076607577777047006013
Probable prime cofactor 233380215802854007300467394780726271343697166092228509059711875575719508047 has 75 digits

Pentium 4 2.4GHz

190584649465462808903938036705578268690445781961768618815589675746482134493536309892422886710060193892941055624300006842351026644099218988293<141>

16655019752526043619345197086882937152885261185068417<53>
11443075559040216743203773330203910152796400883206795006697965100458043235549364132362629<89>

Number: 29993_150
N=190584649465462808903938036705578268690445781961768618815589675746482134493536309892422886710060193892941055624300006842351026644099218988293
  ( 141 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=16655019752526043619345197086882937152885261185068417 (pp53)
 r2=11443075559040216743203773330203910152796400883206795006697965100458043235549364132362629 (pp89)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 32.25 hours.
Scaled time: 22.03 units (timescale=0.683).
Factorization parameters were as follows:
name: 29993_150
n: 190584649465462808903938036705578268690445781961768618815589675746482134493536309892422886710060193892941055624300006842351026644099218988293
m: 1000000000000000000000000000000
c5: 3
c0: -7
skew: 1.18
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [750000, 1750001)
Primes: RFBsize:114155, AFBsize:113722, largePrimes:2720694 encountered
Relations: rels:2701121, finalFF:257590
Max relations in full relation-set: 0
Initial matrix: 227942 x 257590 with sparse part having weight 18606649.
Pruned matrix : 217974 x 219177 with weight 14397030.
Total sieving time: 30.84 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 1.19 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,150,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 32.25 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

10063335277793338675846217477396910354803011889159741694310089600582868379289790176105012916290829047750190448620132238934440389665759736528464647<146>

2776542823659779412773229802771285257042021400690501832194379669<64>
3624412053738393293775064001860434687254067055643958807515278373333482272091019563<82>

Number: 29993_151
N=10063335277793338675846217477396910354803011889159741694310089600582868379289790176105012916290829047750190448620132238934440389665759736528464647
  ( 146 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=2776542823659779412773229802771285257042021400690501832194379669 (pp64)
 r2=3624412053738393293775064001860434687254067055643958807515278373333482272091019563 (pp82)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 37.52 hours.
Scaled time: 25.63 units (timescale=0.683).
Factorization parameters were as follows:
name: 29993_151
n: 10063335277793338675846217477396910354803011889159741694310089600582868379289790176105012916290829047750190448620132238934440389665759736528464647
m: 1000000000000000000000000000000
c5: 30
c0: -7
skew: 0.75
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1200000, 2200001)
Primes: RFBsize:176302, AFBsize:175908, largePrimes:5608103 encountered
Relations: rels:5543957, finalFF:398769
Max relations in full relation-set: 0
Initial matrix: 352277 x 398769 with sparse part having weight 27944746.
Pruned matrix : 328978 x 330803 with weight 21639137.
Total sieving time: 33.50 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 3.62 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 37.52 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

1445901871538147156341447649224847712631394873758699363989919101940155761354755440420714445084445119451525115463081130749559659129<130>

3638448521596708316295882652136033250258553<43>
397395170759107781009516079528422156485067127226121794287339983126117723660641650772993<87>

Number: 29993_154
N=1445901871538147156341447649224847712631394873758699363989919101940155761354755440420714445084445119451525115463081130749559659129
  ( 130 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=3638448521596708316295882652136033250258553 (pp43)
 r2=397395170759107781009516079528422156485067127226121794287339983126117723660641650772993 (pp87)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 57.07 hours.
Scaled time: 38.64 units (timescale=0.677).
Factorization parameters were as follows:
name: 29993_154
n: 1445901871538147156341447649224847712631394873758699363989919101940155761354755440420714445084445119451525115463081130749559659129
m: 10000000000000000000000000000000
c5: 3
c0: -70
skew: 1.88
type: snfs
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1500000, 2900001)
Primes: RFBsize:216816, AFBsize:215951, largePrimes:5611743 encountered
Relations: rels:5508735, finalFF:488116
Max relations in full relation-set: 28
Initial matrix: 432832 x 488116 with sparse part having weight 40130555.
Pruned matrix : 407641 x 409869 with weight 29858979.
Total sieving time: 49.60 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 6.99 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 57.07 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

147590028461556508171293018028553114061238888148651494440046585451722939356778788070173271532586662801688015902136310673316237331594165849307399<144>

755863572447083289435283827464011678816063064420816854967<57>
195260141964162497840754186283403004144880025879973776465137141067044484471377181806897<87>

Number: n
N=147590028461556508171293018028553114061238888148651494440046585451722939356778788070173271532586662801688015902136310673316237331594165849307399
  ( 144 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=755863572447083289435283827464011678816063064420816854967 (pp57)
 r2=195260141964162497840754186283403004144880025879973776465137141067044484471377181806897 (pp87)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 45.23 hours.
Scaled time: 54.00 units (timescale=1.194).
Factorization parameters were as follows:
name: KA_2_9_155_3
n: 147590028461556508171293018028553114061238888148651494440046585451722939356778788070173271532586662801688015902136310673316237331594165849307399
type: snfs
skew: 1.00
deg: 5
c5: 30
c0: -7
m: 10000000000000000000000000000000
rlim: 2000000
alim: 2000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 50000
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 2000001)
Primes: RFBsize:148933, AFBsize:148635, largePrimes:6806936 encountered
Relations: rels:6172026, finalFF:337910
Max relations in full relation-set: 28
Initial matrix: 297635 x 337910 with sparse part having weight 32569506.
Pruned matrix : 284193 x 285745 with weight 24619977.
Total sieving time: 41.64 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 3.19 hours.
Total square root time: 0.10 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2000000,2000000,28,28,48,48,2.3,2.3,100000
total time: 45.23 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

3580257850225164627404836853606844290357386870515998826943797062408011849614535981097388373034324355416498626742076743203763054265019<133>

263885431718243596975433066048441779693678318105769<51>
13567470651611743221749122292261888185172901056388384006891037144978168857382893251<83>

Number: 29993_158
N=3580257850225164627404836853606844290357386870515998826943797062408011849614535981097388373034324355416498626742076743203763054265019
  ( 133 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=263885431718243596975433066048441779693678318105769 (pp51)
 r2=13567470651611743221749122292261888185172901056388384006891037144978168857382893251 (pp83)
Version: GGNFS-0.77.1-20060722-k8
Total time: 49.54 hours.
Scaled time: 72.72 units (timescale=1.468).
Factorization parameters were as follows:
n: 3580257850225164627404836853606844290357386870515998826943797062408011849614535981097388373034324355416498626742076743203763054265019
m: 10000000000000000000000000000000
c5: 3000
c0: -7
skew: 0.3
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2000000, 3300001)
Primes: RFBsize:283146, AFBsize:283037, largePrimes:5584207 encountered
Relations: rels:5598336, finalFF:647691
Max relations in full relation-set: 32
Initial matrix: 566250 x 647691 with sparse part having weight 39597994.
Pruned matrix : 499206 x 502101 with weight 26364073.
Total sieving time: 45.55 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 3.63 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 49.54 hours.
 --------- CPU info (if available) ----------

Turion 64 X2 Mobile 1.79GHz, Windows XP and Cygwin

474622646348587991570103845490157192795552107865333169185229129045216764037235466499265469910571227154142957278509839<117>

2429003868169712771564765938483840128221281<43>
195398061142744316558324686703766895073805079591953321661587802348156465519<75>

Number: 29993_159
N=474622646348587991570103845490157192795552107865333169185229129045216764037235466499265469910571227154142957278509839
  ( 117 digits)
Divisors found:
 r1=2429003868169712771564765938483840128221281 (pp43)
 r2=195398061142744316558324686703766895073805079591953321661587802348156465519 (pp75)
Version: GGNFS-0.77.1-20060513-k8
Total time: 56.60 hours.
Scaled time: 112.69 units (timescale=1.991).
Factorization parameters were as follows:
name: 29993_159
n: 474622646348587991570103845490157192795552107865333169185229129045216764037235466499265469910571227154142957278509839
skew: 102878.62
# norm 3.14e+16
c5: 34440
c4: -149392696
c3: -462455782301352
c2: -52512162914560500217
c1: 816599221770534738053210
c0: 165609389373825212343298147000
# alpha -6.78
Y1: 2030600269627
Y0: -26782868643055112543701
# Murphy_E 3.95e-10
# M 344120893185492553582171471745909403370088932927055061806908622580423741637740107782212930561733866315489917027001449
type: gnfs
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 60000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [2250000, 3870001)
Primes: RFBsize:315948, AFBsize:316176, largePrimes:7649847 encountered
Relations: rels:7779364, finalFF:809585
Max relations in full relation-set: 28
Initial matrix: 632210 x 809585 with sparse part having weight 68072410.
Pruned matrix : 480081 x 483306 with weight 39163890.
Total sieving time: 52.80 hours.
Total relation processing time: 0.34 hours.
Matrix solve time: 3.04 hours.
Time per square root: 0.42 hours.
Prototype def-par.txt line would be:
gnfs,116,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,27,27,50,50,2.4,2.4,60000
total time: 56.60 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

198905772361264065161331627118031230047697009326967433541160680920432161531701698650354213209399564953782862230293697<117>

156576499347676290337540161614647420749481<42>
1270342440851204099715174694929205958381506676212657967303937958146615630937<76>

GMP-ECM 6.1.2 [powered by GMP 4.2.1] [ECM]
Input number is 198905772361264065161331627118031230047697009326967433541160680920432161531701698650354213209399564953782862230293697 (117 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3734854031
Step 1 took 6777ms
********** Factor found in step 1: 156576499347676290337540161614647420749481
Found probable prime factor of 42 digits: 156576499347676290337540161614647420749481
Probable prime cofactor 1270342440851204099715174694929205958381506676212657967303937958146615630937 has 76 digits

Core 2 Quad Q6600

11497380513473013731704793257936066899424747728309233546290370177327932119465448455326928014900605145461025796289412062285142701654473055888766675992319749817<158>

4051197719261188815701375854427236740369079486103<49>
20165397378055339711076080733916793276540156689149<50>
140737126881900958635390331620494185432391996158454693370011<60>

Number: n
N=11497380513473013731704793257936066899424747728309233546290370177327932119465448455326928014900605145461025796289412062285142701654473055888766675992319749817
  ( 158 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=4051197719261188815701375854427236740369079486103 (pp49)
 r2=20165397378055339711076080733916793276540156689149 (pp50)
 r3=140737126881900958635390331620494185432391996158454693370011 (pp60)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 45.25 hours.
Scaled time: 65.43 units (timescale=1.446).
Factorization parameters were as follows:
name: KA_2_9_161_3
n: 11497380513473013731704793257936066899424747728309233546290370177327932119465448455326928014900605145461025796289412062285142701654473055888766675992319749817
skew: 0.47
deg: 5
c5: 300
c0: -7
m: 100000000000000000000000000000000
type: snfs
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 2100001)
Primes: RFBsize:250150, AFBsize:249771, largePrimes:7357986 encountered
Relations: rels:6887181, finalFF:570721
Max relations in full relation-set: 28
Initial matrix: 499987 x 570721 with sparse part having weight 39576388.
Pruned matrix : 441715 x 444278 with weight 26543781.
Total sieving time: 39.63 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 5.09 hours.
Total square root time: 0.31 hours, sqrts: 4.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 45.25 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

538138412661422597488419495675429280517806274824826262607238333566551177120328816928435085546693510307070803109969517419689209675810938609<138>

984803325251956195887249668731139<33>
546442521935781460110773913223987286991730594097092602213887622250012599971203648826978554376441175284731<105>

GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM]
Input number is 538138412661422597488419495675429280517806274824826262607238333566551177120328816928435085546693510307070803109969517419689209675810938609 (138 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4192204273
Step 1 took 15515ms
Step 2 took 10407ms
********** Factor found in step 2: 984803325251956195887249668731139
Found probable prime factor of 33 digits: 984803325251956195887249668731139
Probable prime cofactor 546442521935781460110773913223987286991730594097092602213887622250012599971203648826978554376441175284731 has 105 digits

Pentium 4 3.2GHz

21705623988186509688790428902323610401675410826005059910283930842779622114834229639699870079593155974739505331652907856358417153429937020853777<143>

9586550427068758139277418251508130186850823<43>
763966565598162182661254838642609221002481461<45>
2963709019423440832352969589339376348532317934047934059<55>

Number: n
N=21705623988186509688790428902323610401675410826005059910283930842779622114834229639699870079593155974739505331652907856358417153429937020853777
  ( 143 digits)
SNFS difficulty: 165 digits.
Divisors found:

Thu Jan 24 15:26:22 2008  prp43 factor: 9586550427068758139277418251508130186850823
Thu Jan 24 15:26:22 2008  prp45 factor: 763966565598162182661254838642609221002481461
Thu Jan 24 15:26:22 2008  prp55 factor: 2963709019423440832352969589339376348532317934047934059
Thu Jan 24 15:26:22 2008  elapsed time 02:15:02 (Msieve 1.33, sqrts: 6)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 49.56 hours.
Scaled time: 86.88 units (timescale=1.753).
Factorization parameters were as follows:
name: KA_2_9_164_3
n: 21705623988186509688790428902323610401675410826005059910283930842779622114834229639699870079593155974739505331652907856358417153429937020853777
type: snfs
skew: 1.18
deg: 5
c5: 3
c0: -7
m: 1000000000000000000000000000000000
rlim: 3200000
alim: 3200000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 2400109)
Primes: RFBsize:230209, AFBsize:229717, largePrimes:7315297 encountered
Relations: rels:6790830, finalFF:500470
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 49.24 hours.
Total relation processing time: 0.32 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,3200000,3200000,28,28,48,48,2.5,2.5,100000
total time: 49.56 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

262104517358950568229392646975475073832192212584139002189008516545530131509021579305206164560915839602751144638772767618539909590293230081939024081<147>

611255532829942634147397320551746694935812453256656449<54>
428796965068732802120208918501494985696065115728677764830252574676814510715480757019757325969<93>

Number: n
N=262104517358950568229392646975475073832192212584139002189008516545530131509021579305206164560915839602751144638772767618539909590293230081939024081
  ( 147 digits)
SNFS difficulty: 166 digits.
Divisors found:

Sat Jan 26 19:52:25 2008  prp54 factor: 611255532829942634147397320551746694935812453256656449
Sat Jan 26 19:52:25 2008  prp93 factor: 428796965068732802120208918501494985696065115728677764830252574676814510715480757019757325969
Sat Jan 26 19:52:25 2008  elapsed time 01:02:35 (Msieve 1.33)

Version: GGNFS-0.77.1-20050930-k8
Total time: 65.89 hours.
Scaled time: 55.08 units (timescale=0.836).
Factorization parameters were as follows:
name: KA_2_9_165_3
n: 262104517358950568229392646975475073832192212584139002189008516545530131509021579305206164560915839602751144638772767618539909590293230081939024081
type: snfs
deg: 5
c5: 30
c0: -7
skew: 0.75
m: 1000000000000000000000000000000000
rlim: 3000000
alim: 3000000
lbpr: 28
lbpa: 28
mbpr: 48
mbpa: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved  special-q in [100000, 4125767)
Primes: RFBsize:216816, AFBsize:216451, largePrimes:5784372 encountered
Relations: rels:5641483, finalFF:469726
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 65.66 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.5,2.5,100000
total time: 65.89 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM)
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6045.69 BogoMIPS (lpj=3022848)
Total of 2 processors activated (12009.47 BogoMIPS).

299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993<168>

655467036657994741996643867126553366964783<42>
457688919841947776110399176672643492197644369408954631966772160173721908536961345672536829147905758344010973197701056308278871<126>

GMP-ECM 6.1.2 [powered by GMP 4.2.1] [ECM]
Input number is 299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993 (168 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3265550511
Step 1 took 25627ms
Step 2 took 11066ms
********** Factor found in step 2: 655467036657994741996643867126553366964783
Found probable prime factor of 42 digits: 655467036657994741996643867126553366964783
Probable prime cofactor 457688919841947776110399176672643492197644369408954631966772160173721908536961345672536829147905758344010973197701056308278871 has 126 digits

Core 2 Quad Q6600

11713954345988395280440301043503701161036869491532050378454230366913521079611328147373022160571672903577472106907091023297491402886247<134>

275860320126853307413096987739888963147811740022702997<54>
42463353702343919630941476770580199897205148009535304984674887647746788420522251<80>

N=11713954345988395280440301043503701161036869491532050378454230366913521079611328147373022160571672903577472106907091023297491402886247
  ( 134 digits)

SNFS difficulty: 170 digits.
Divisors found:

 r1=275860320126853307413096987739888963147811740022702997 (pp54)

 r2=42463353702343919630941476770580199897205148009535304984674887647746788420522251 (pp80)

Version: GGNFS-0.77.1-20060513-prescott

Total time: 161.74 hours.

Scaled time: 179.53 units (timescale=1.110).

Factorization parameters were as follows:

n: 11713954345988395280440301043503701161036869491532050378454230366913521079611328147373022160571672903577472106907091023297491402886247
m: 10000000000000000000000000000000000
c5: 3
c0: -70
skew: 1.88

type: snfs


Factor base limits: 6000000/6000000

Large primes per side: 3

Large prime bits: 27/27

Max factor residue bits: 48/48

Sieved algebraic special-q in [3000000, 9100001)

Primes: RFBsize:412849, AFBsize:410791, largePrimes:6338389 encountered

Relations: rels:6667763, finalFF:975562

Max relations in full relation-set: 28

Initial matrix: 823705 x 975562 with sparse part having weight 74465554.

Pruned matrix : 701852 x 706034 with weight 56385039.

Total sieving time: 145.54 hours.

Total relation processing time: 0.16 hours.

Matrix solve time: 15.65 hours.
Time per square root: 0.38 hours.

Prototype def-par.txt line would be:

snfs,170,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,48,48,2.6,2.6,100000

total time: 161.74 hours.

27131436025458323930591267505429410259473495251355363977569652855593983278520297559202448651242915986462611185758700258775413350613530637554314092810703209994473<161>

6500447580664317282363738571189216214014916119<46>
4173779680365580296879466841090799172626675464658891545229584269857535434533778203229820960806843647214822728845567<115>

N=27131436025458323930591267505429410259473495251355363977569652855593983278520297559202448651242915986462611185758700258775413350613530637554314092810703209994473
  ( 161 digits)

SNFS difficulty: 170 digits.

Divisors found:

 r1=6500447580664317282363738571189216214014916119 (pp46)

 r2=4173779680365580296879466841090799172626675464658891545229584269857535434533778203229820960806843647214822728845567 (pp115)

Version: GGNFS-0.77.1-20060513-prescott

Total time: 116.18 hours.
Scaled time: 98.99 units (timescale=0.852).

Factorization parameters were as follows:

n: 27131436025458323930591267505429410259473495251355363977569652855593983278520297559202448651242915986462611185758700258775413350613530637554314092810703209994473
m: 10000000000000000000000000000000000
c5: 3
c0: -7
skew: 1.18
type: snfs


Factor base limits: 6000000/6000000

Large primes per side: 3

Large prime bits: 27/27

Max factor residue bits: 48/48

Sieved algebraic special-q in [3000000, 7100001)

Primes: RFBsize:412849, AFBsize:411971, largePrimes:6063193 encountered

Relations: rels:6355607, finalFF:953328

Max relations in full relation-set: 28

Initial matrix: 824885 x 953328 with sparse part having weight 55798413.

Pruned matrix : 718666 x 722854 with weight 40153351.

Total sieving time: 107.72 hours.

Total relation processing time: 0.12 hours.

Matrix solve time: 8.05 hours.

Time per square root: 0.29 hours.

Prototype def-par.txt line would be:

snfs,170,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,48,48,2.6,2.6,100000

total time: 116.18 hours.

1574327777949404635376174768673852196943179488710897574632998700132319413715457346172529249449492909562247276388632517481561461992754350763645351691241306623<157>

69185802781796879642077085597448791268734799821577537651715919383668229<71>
22755069893669253071145751833555900531496535657694741960060249774778750742959661038387<86>

Number: n
N=1574327777949404635376174768673852196943179488710897574632998700132319413715457346172529249449492909562247276388632517481561461992754350763645351691241306623
  ( 157 digits)
SNFS difficulty: 171 digits.
Divisors found:

Thu Oct 02 04:55:00 2008  prp71 factor: 69185802781796879642077085597448791268734799821577537651715919383668229
Thu Oct 02 04:55:01 2008  prp86 factor: 22755069893669253071145751833555900531496535657694741960060249774778750742959661038387
Thu Oct 02 04:55:01 2008  elapsed time 02:13:30 (Msieve 1.38)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 16.58 hours.
Scaled time: 34.00 units (timescale=2.051).
Factorization parameters were as follows:
name: KA_2_9_170_3
n: 1574327777949404635376174768673852196943179488710897574632998700132319413715457346172529249449492909562247276388632517481561461992754350763645351691241306623
type: snfs
skew: 0.75
deg: 5
c5: 30
c0: -7
m: 10000000000000000000000000000000000
rlim: 6200000
alim: 6200000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 3800001)
Primes: RFBsize:425648, AFBsize:425482, largePrimes:13895280 encountered
Relations: rels:13425134, finalFF:1026037
Max relations in full relation-set: 28
Initial matrix: 851197 x 1026037 with sparse part having weight 114941916.
Pruned matrix : 
Total sieving time: 16.25 hours.
Total relation processing time: 0.32 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,52,52,2.5,2.5,100000
total time: 16.58 hours.
 --------- CPU info (if available) ----------

340183754064371686208551774591740325554225929720786294610488881281895596896325926768230605903768966316334239916728194724956212967063043118849<141>

2335652610416605452519508897978433<34>
145648266590335890831386445560195486299154390924262334577765318323875048848015754190501837612604655871004353<108>

Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=4118715206
Step 1 took 6085ms
Step 2 took 5302ms
********** Factor found in step 2: 2335652610416605452519508897978433
Found probable prime factor of 34 digits: 2335652610416605452519508897978433
Probable prime cofactor 145648266590335890831386445560195486299154390924262334577765318323875048848015754190501837612604655871004353 has 108 digits

GMP-ECM 6.2.1

11837305297500476833272061812632709569273438156977425706603207959380043080856984547345584022048778543024109119089522487518143570839379652439467<143>

39095261597244485619068133819782484306059424743<47>
42468855839398963583713796156992828584395131493<47>
7129485079984366578469881481595333626428127113433<49>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3970631523
Step 1 took 51806ms
********** Factor found in step 1: 42468855839398963583713796156992828584395131493
Found probable prime factor of 47 digits: 42468855839398963583713796156992828584395131493
Composite cofactor 278729084255640336629040845933397195607242480061022896622358756295080974724611153744185087872719 has 96 digits
-------------
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2531216095
Step 1 took 49965ms
Step 2 took 19283ms
********** Factor found in step 2: 39095261597244485619068133819782484306059424743
Found probable prime factor of 47 digits: 39095261597244485619068133819782484306059424743

GMP-ECM 6.3

3080333212497190998320588518704248460835256890165010422176507062229667521801892368359086189741076768397158739397379<115>

666955264597468844867283661741291944087841<42>
4618500484221053916134988602864131972644643376658791905760135103112512419<73>

Number: 29993_179
N=3080333212497190998320588518704248460835256890165010422176507062229667521801892368359086189741076768397158739397379
  ( 115 digits)
Divisors found:
 r1=666955264597468844867283661741291944087841 (pp42)
 r2=4618500484221053916134988602864131972644643376658791905760135103112512419 (pp73)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 25.35 hours.
Scaled time: 54.10 units (timescale=2.134).
Factorization parameters were as follows:
name: 29993_179
n: 3080333212497190998320588518704248460835256890165010422176507062229667521801892368359086189741076768397158739397379
skew: 64606.11
# norm 5.65e+15
c5: 24480
c4: -1282831244
c3: -285274267141254
c2: 2653256384091794754
c1: 627807025803164651781771
c0: 5959752286338459471323474153
# alpha -5.69
Y1: 974878789993
Y0: -10470265171305626182350
# Murphy_E 5.27e-10
# M 1462313019062199735784145259341739798397661617108705271681928514346601554110168923675620598322111573351965792712109
type: gnfs
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 75000
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1800000, 3075001)
Primes: RFBsize:256726, AFBsize:257074, largePrimes:7591771 encountered
Relations: rels:7548192, finalFF:646497
Max relations in full relation-set: 28
Initial matrix: 513883 x 646497 with sparse part having weight 56504637.
Pruned matrix : 406596 x 409229 with weight 33984511.
Polynomial selection time: 1.33 hours.
Total sieving time: 22.77 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.96 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
gnfs,114,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3600000,3600000,27,27,50,50,2.4,2.4,75000
total time: 25.35 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167564k/8912896k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.37 BogoMIPS (lpj=2407686)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405117)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405131)
Total of 4 processors activated (19246.11 BogoMIPS).

Core 2 Quad Q6600

11597204098100919558162450689316356763537171835993468439189010764636950163555176108782300180105739363917090830218675450151952173408632330162164207449256075888299735028240487<173>

18218911558565048518907704188010364273260408975797311424365795208880848437<74>
636547581935478392192518274158705222612881545178444040160000302005921128060650521624507852845684651<99>

Number: 29993_180
N=11597204098100919558162450689316356763537171835993468439189010764636950163555176108782300180105739363917090830218675450151952173408632330162164207449256075888299735028240487
  ( 173 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=18218911558565048518907704188010364273260408975797311424365795208880848437
 r2=636547581935478392192518274158705222612881545178444040160000302005921128060650521624507852845684651
Version: 
Total time: 181.16 hours.
Scaled time: 363.76 units (timescale=2.008).
Factorization parameters were as follows:
n: 11597204098100919558162450689316356763537171835993468439189010764636950163555176108782300180105739363917090830218675450151952173408632330162164207449256075888299735028240487
m: 1000000000000000000000000000000000000
deg: 5
c5: 3
c0: -7
skew: 1.18
type: snfs
lss: 1
rlim: 7100000
alim: 7100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5Factor base limits: 7100000/7100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3550000, 5250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 896910 x 897158
Total sieving time: 181.16 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,7100000,7100000,28,28,53,53,2.5,2.5,100000
total time: 181.16 hours.
 --------- CPU info (if available) ----------

225113876614599605396566797511627802344376274678170112418148764182246251259403855553787474163792292164819910723234901280077554950153327257823<141>

1724512309637715528857993530467193207<37>
130537703533059377398780785440600547165396660129485394210598345885209061956376547057033455498259978403289<105>

Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=4240482263
Step 1 took 18495ms
Step 2 took 16306ms
********** Factor found in step 2: 1724512309637715528857993530467193207
Found probable prime factor of 37 digits: 1724512309637715528857993530467193207
Probable prime cofactor 130537703533059377398780785440600547165396660129485394210598345885209061956376547057033455498259978403289 has 105 digits

GMP-ECM 6.2.1

563225531107067631860010730837416411659680240167133813031633518755964288240206350514851318183551932448042433036109401457622408019328888441845942073520779158876980505242419301<174>

4796490522412971876641932518607628488439561046089<49>
1548673479290345529774086700765886016829551091546368457457<58>
75822636452665473690053506995583104798022226107761589852599634157837<68>

N=563225531107067631860010730837416411659680240167133813031633518755964288240206350514851318183551932448042433036109401457622408019328888441845942073520779158876980505242419301
  ( 174 digits)
SNFS difficulty: 188 digits.
Divisors found:
 r1=4796490522412971876641932518607628488439561046089 (pp49)
 r2=1548673479290345529774086700765886016829551091546368457457 (pp58)
 r3=75822636452665473690053506995583104798022226107761589852599634157837 (pp68)
Version: Msieve-1.40
Total time: 235.66 hours.
Scaled time: 464.02 units (timescale=1.969).
Factorization parameters were as follows:
n: 563225531107067631860010730837416411659680240167133813031633518755964288240206350514851318183551932448042433036109401457622408019328888441845942073520779158876980505242419301
m: 10000000000000000000000000000000000000
deg: 5
c5: 3000
c0: -7
skew: 0.30
type: snfs
lss: 1
rlim: 9700000
alim: 9700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 9700000/9700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4850000, 8450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1828902 x 1829127
Total sieving time: 231.20 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 3.72 hours.
Time per square root: 0.53 hours.
Prototype def-par.txt line would be:
snfs,188.000,5,0,0,0,0,0,0,0,0,9700000,9700000,28,28,54,54,2.5,2.5,100000
total time: 235.66 hours.
 --------- CPU info (if available) ----------

1156197229316160396762315730175930111081283203778573999467088600070417101990118265692270415871328771104272033008565072588817320507710785715366738566584516960163137868646008187<175>

349757439117349435285448300528377<33>
3305711616124445048311225343825846971474411661265757514018027000415495130450466308113753852376938088222883119475153546917208332615074442720531<142>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3188158830
Step 1 took 29325ms
Step 2 took 18759ms
********** Factor found in step 2: 349757439117349435285448300528377
Found probable prime factor of 33 digits: 349757439117349435285448300528377
Probable prime cofactor 3305711616124445048311225343825846971474411661265757514018027000415495130450466308113753852376938088222883119475153546917208332615074442720531 has 142 digits

GMP-ECM 6.2.1

84472442371853755570598610642670278068996299561350872616834134266116465590055271388113540351841293220600893956637689213302570537404174146409794186156823212514537<161>

2278631333105426678642989188997941682082106465747542676422629<61>
37071570615475874792831155477310112380542882577696775118572376854857598428995124720928778214297628853<101>

Info:Square Root: Starting
Info:Square Root: Creating file of (a,b) values
Info:Square Root: finished
Info:Square Root: Factors: 2278631333105426678642989188997941682082106465747542676422629 37071570615475874792831155477310112380542882577696775118572376854857598428995124720928778214297628853
Info:Square Root: Total cpu/real time for sqrt: 1593.84/3892.49
Info:Square Root: Total cpu/real time for sqrt: 1593.84/3892.49
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 43.48/576.324
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 574.4000000000001s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.66/0.892766
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 28277470
Info:Lattice Sieving: Average J: 7582.32 for 329777 special-q, max bucket fill -bkmult 1.0,1s:1.084710
Info:Lattice Sieving: Total time: 385450s
Info:Generate Free Relations: Total cpu/real time for freerel: 115.01/16.1932
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 490.3/3246.02
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 2976.1s
Info:Linear Algebra: Total cpu/real time for bwc: 31966.3/8967.63
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 19728.64, WCT time 5546.5, iteration CPU time 0.08, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (58000 iterations)
Info:Linear Algebra: Lingen CPU time 403.92, WCT time 53.24
Info:Linear Algebra: Mksol: CPU time 10726.58,  WCT time 3022.37, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (30000 iterations)
Info:Filtering - Merging: Total cpu/real time for merge: 204.7/34.3514
Info:Filtering - Merging: Total cpu/real time for replay: 44.8/99.3545
Info:Filtering - Singleton removal: Total cpu/real time for purge: 413.99/3212.83
Info:Quadratic Characters: Total cpu/real time for characters: 58.27/16.4759
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 753091/131867
2278631333105426678642989188997941682082106465747542676422629 37071570615475874792831155477310112380542882577696775118572376854857598428995124720928778214297628853

CADO-NFS - latest commit

Windows 10 64-bit - i7-7700k - run through WSL

2007201705907348505949446216394676339059456057704640402789180727839439385887271136352490311739166011705598908510475016995980444770473474126935837321921900985944168614042610617387812980453<187>

7785800216772576316291503712882966307<37>
257802878319858510467556950027222406520466634448254185169836969158945420710729762366838181616309841193336589551434596424788675155977440139488578094679<150>

Number: n
N=2007201705907348505949446216394676339059456057704640402789180727839439385887271136352490311739166011705598908510475016995980444770473474126935837321921900985944168614042610617387812980453
  ( 187 digits)
SNFS difficulty: 193 digits.
Divisors found:

Wed Feb  3 22:00:25 2010  prp37 factor: 7785800216772576316291503712882966307
Wed Feb  3 22:00:25 2010  prp150 factor: 257802878319858510467556950027222406520466634448254185169836969158945420710729762366838181616309841193336589551434596424788675155977440139488578094679
Wed Feb  3 22:00:25 2010  elapsed time 05:42:36 (Msieve 1.42 - dependency 1)

Version: 
Total time: 17.56 hours.
Scaled time: 14.77 units (timescale=0.841).
Factorization parameters were as follows:
name: KA_2_9_192_3
n: 2007201705907348505949446216394676339059456057704640402789180727839439385887271136352490311739166011705598908510475016995980444770473474126935837321921900985944168614042610617387812980453
m: 100000000000000000000000000000000000000
deg: 5
c5: 3000
c0: -7
skew: 0.30
type: snfs
lss: 1
rlim: 11700000
alim: 11700000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 11700000/11700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 10496971)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3589551 hash collisions in 29484219 relations
Msieve: matrix is 1505642 x 1505867 (404.6 MB)

Total sieving time: 17.56 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,11700000,11700000,28,28,56,56,2.5,2.5,100000
total time: 17.56 hours.
 --------- CPU info (if available) ----------

744640872852904611291755255231823307308468548198988147991712895923330197484924929112939701419349803255698181873510387775922617840793203753606810847110672127348771711<165>

112071493021442909393674585029677197<36>
6644337938019891239477287115706515132728307180369419919904025437013944643157929741455683656766105933130195700587489543602655323963<130>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2274255721
Step 1 took 7550ms
Step 2 took 5835ms
********** Factor found in step 2: 112071493021442909393674585029677197
Found probable prime factor of 36 digits: 112071493021442909393674585029677197
Probable prime cofactor 6644337938019891239477287115706515132728307180369419919904025437013944643157929741455683656766105933130195700587489543602655323963 has 130 digits

GMP-ECM 6.3

120202639669058973888268402090971402561363544532247161895386154452471510366259104194772554978811683839054088817399849252798657635273332700636799211174747179998589745178664132032947751<183>

3410320049990177024859778486328134861<37>

35246732830663562403369748164068680908724548385265603739345073793139596507744308018070883299760651207926080099361321383824319522570619998407671491<146>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3556153323
Step 1 took 29388ms
********** Factor found in step 1: 3410320049990177024859778486328134861
Found probable prime factor of 37 digits: 3410320049990177024859778486328134861
Composite cofactor 35246732830663562403369748164068680908724548385265603739345073793139596507744308018070883299760651207926080099361321383824319522570619998407671491 has 146 digits

GMP-ECM 6.2.1

35246732830663562403369748164068680908724548385265603739345073793139596507744308018070883299760651207926080099361321383824319522570619998407671491<146>

710588370560844311211918946607363690651<39>
49602180799616044206014822452439128530879215132254198474045971548246026243176361683054309676103107706734841<107>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2230358255
Step 1 took 21758ms
Step 2 took 9101ms
********** Factor found in step 2: 710588370560844311211918946607363690651
Found probable prime factor of 39 digits: 710588370560844311211918946607363690651

1138136629527926185494163100278909144228558660475166767396335709851632501516920808886668131717636797745150831060574461448133565709914093606153528200547329751721513549069076367<175>

31773773717937730708136347678564195626607648185450043<53>
798258493834142218816022485265218572989636991735050515751<57>
44872684733249019767457114203614686817489313911832356356899274619<65>

found factor: 44872684733249019767457114203614686817489313911832356356899274619
p53 factor: 31773773717937730708136347678564195626607648185450043
p57 factor: 798258493834142218816022485265218572989636991735050515751
p65 factor: 44872684733249019767457114203614686817489313911832356356899274619


Msieve v. 1.54 (SVN 1034)
random seeds: feb28aae d7b8083f
factoring 1138136629527926185494163100278909144228558660475166767396335709851632501516920808886668131717636797745150831060574461448133565709914093606153528200547329751721513549069076367 (175 digits)
searching for 15-digit factors
commencing number field sieve (175-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: -7
A1: 0
A2: 0
A3: 0
A4: 0
A5: 30
skew 1.00, size 1.029e-13, alpha 1.462, combined = 2.044e-11 rroots = 1

commencing relation filtering
estimated available RAM is 15892.2 MB
commencing duplicate removal, pass 1
found 2270934 hash collisions in 36493635 relations
added 727976 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 37221611 unique relations
memory use: 98.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1236.9 MB
keeping 40133528 ideals with weight <= 200, target excess is 196134
commencing in-memory singleton removal
begin with 37221611 relations and 40133528 unique ideals
reduce to 14063605 relations and 12999329 ideals in 14 passes
max relations containing the same ideal: 111
removing 2170600 relations and 1770600 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 11893005 relations and 12999329 unique ideals
reduce to 11602174 relations and 10927229 ideals in 9 passes
max relations containing the same ideal: 96
removing 1753762 relations and 1353762 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 9848412 relations and 10927229 unique ideals
reduce to 9612404 relations and 9329124 ideals in 8 passes
max relations containing the same ideal: 85
removing 362187 relations and 306423 ideals in 55764 cliques
commencing in-memory singleton removal
begin with 9250217 relations and 9329124 unique ideals
reduce to 9239768 relations and 9012175 ideals in 7 passes
max relations containing the same ideal: 85
relations with 0 large ideals: 3927
relations with 1 large ideals: 7146
relations with 2 large ideals: 66328
relations with 3 large ideals: 344836
relations with 4 large ideals: 1069944
relations with 5 large ideals: 2069540
relations with 6 large ideals: 2626612
relations with 7+ large ideals: 3051435
commencing 2-way merge
reduce to 5732879 relation sets and 5505286 unique ideals
commencing full merge
memory use: 656.0 MB
found 2682679 cycles, need 2659486
weight of 2659486 cycles is about 239628427 (90.10/cycle)
distribution of cycle lengths:
1 relations: 228514
2 relations: 232117
3 relations: 239967
4 relations: 231609
5 relations: 222845
6 relations: 204357
7 relations: 188354
8 relations: 169013
9 relations: 151755
10+ relations: 790955
heaviest cycle: 28 relations
commencing cycle optimization
start with 19634933 relations
pruned 664196 relations
memory use: 579.0 MB
distribution of cycle lengths:
1 relations: 228514
2 relations: 237877
3 relations: 249302
4 relations: 239468
5 relations: 231056
6 relations: 210475
7 relations: 193567
8 relations: 172507
9 relations: 154347
10+ relations: 742373
heaviest cycle: 28 relations
RelProcTime: 995
elapsed time 00:16:36


Msieve v. 1.54 (SVN 1034)
random seeds: 7126d82d 259d364e
factoring 1138136629527926185494163100278909144228558660475166767396335709851632501516920808886668131717636797745150831060574461448133565709914093606153528200547329751721513549069076367 (175 digits)
searching for 15-digit factors
commencing number field sieve (175-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: -7
A1: 0
A2: 0
A3: 0
A4: 0
A5: 30
skew 1.00, size 1.029e-13, alpha 1.462, combined = 2.044e-11 rroots = 1

commencing linear algebra
read 2659486 cycles
cycles contain 9084264 unique relations
read 9084264 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 1148.9 MB
read 2659486 cycles
matrix is 2659306 x 2659486 (977.4 MB) with weight 287017495 (107.92/col)
sparse part has weight 226955797 (85.34/col)
filtering completed in 2 passes
matrix is 2658604 x 2658784 (977.3 MB) with weight 286992067 (107.94/col)
sparse part has weight 226946924 (85.36/col)
matrix starts at (0, 0)
matrix is 2658604 x 2658784 (977.3 MB) with weight 286992067 (107.94/col)
sparse part has weight 226946924 (85.36/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2658556 x 2658784 (929.8 MB) with weight 236131794 (88.81/col)
sparse part has weight 217157126 (81.68/col)
using block size 8192 and superblock size 786432 for processor cache size 8192 kB
commencing Lanczos iteration (8 threads)
memory use: 887.1 MB
linear algebra at 0.1%, ETA 3h23m
checkpointing every 820000 dimensions
lanczos halted after 42045 iterations (dim = 2658556)
recovered 39 nontrivial dependencies
BLanczosTime: 12509
elapsed time 03:28:30


Msieve v. 1.54 (SVN 1034)
random seeds: d83a386a d93bc1ca
factoring 1138136629527926185494163100278909144228558660475166767396335709851632501516920808886668131717636797745150831060574461448133565709914093606153528200547329751721513549069076367 (175 digits)
searching for 15-digit factors
commencing number field sieve (175-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: -7
A1: 0
A2: 0
A3: 0
A4: 0
A5: 30
skew 1.00, size 1.029e-13, alpha 1.462, combined = 2.044e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1329818 cycles
cycles contain 4540466 unique relations
read 4540466 relations
multiplying 4540466 relations
multiply complete, coefficients have about 123.25 million bits
initial square root is modulo 702066451
Newton iteration failed to converge
algebraic square root failed
reading relations for dependency 2
read 1329956 cycles
cycles contain 4542268 unique relations
read 4542268 relations
multiplying 4542268 relations
multiply complete, coefficients have about 123.30 million bits
initial square root is modulo 707935411
Newton iteration failed to converge
algebraic square root failed
reading relations for dependency 3
read 1328911 cycles
cycles contain 4542928 unique relations
read 4542928 relations
multiplying 4542928 relations
multiply complete, coefficients have about 123.32 million bits
initial square root is modulo 710014391
GCD is N, no factor found
reading relations for dependency 4
read 1329564 cycles
cycles contain 4541530 unique relations
read 4541530 relations
multiplying 4541530 relations
multiply complete, coefficients have about 123.27 million bits
initial square root is modulo 705004171
Newton iteration failed to converge
algebraic square root failed
reading relations for dependency 5
read 1328532 cycles
cycles contain 4540586 unique relations
read 4540586 relations
multiplying 4540586 relations
multiply complete, coefficients have about 123.26 million bits
initial square root is modulo 702906221
found factor: 44872684733249019767457114203614686817489313911832356356899274619
reading relations for dependency 6
read 1329569 cycles
cycles contain 4543032 unique relations
read 4543032 relations
multiplying 4543032 relations
multiply complete, coefficients have about 123.32 million bits
initial square root is modulo 710607811
sqrtTime: 1399
p53 factor: 31773773717937730708136347678564195626607648185450043
p57 factor: 798258493834142218816022485265218572989636991735050515751
p65 factor: 44872684733249019767457114203614686817489313911832356356899274619
elapsed time 00:23:20

CADO-NFS/Msieve

4330976988588861597642516703502643572946498675819236690760299247042532595697073682060977818571773462597312462576121850836567441<127>

18169475745070368235047593594222882815709<41>
238365545013807894815720084404080433701714960158653579266908647472548106703098919265349<87>

GMP-ECM 6.2 [powered by GMP 4.2.2] [ECM]
Input number is 4330976988588861597642516703502643572946498675819236690760299247042532595697073682060977818571773462597312462576121850836567441 (127 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3289226908
Step 1 took 46469ms
Step 2 took 20219ms
********** Factor found in step 2: 18169475745070368235047593594222882815709
Found probable prime factor of 41 digits: 18169475745070368235047593594222882815709
Probable prime cofactor 238365545013807894815720084404080433701714960158653579266908647472548106703098919265349 has 87 digits

GMP-ECM

663934674734524533577996759184873846633846078885387284258843492877172942404263750983806183796095674083008373566479125782070300190573884171493939694285837<153>

8802500075758542671486418965401185017<37>

75425693725689735522165915798403430274957507926625785319459886797116726939260641915032896298520047092212652522529461<116>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4094058691
Step 1 took 82316ms
Step 2 took 30082ms
********** Factor found in step 2: 8802500075758542671486418965401185017
Found probable prime factor of 37 digits: 8802500075758542671486418965401185017
Composite cofactor 75425693725689735522165915798403430274957507926625785319459886797116726939260641915032896298520047092212652522529461 has 116 digits

75425693725689735522165915798403430274957507926625785319459886797116726939260641915032896298520047092212652522529461<116>

212384281450897086772265884641508716928053917665171493<54>
355137834167487756278128779591238230732495635751474304374346577<63>

N = 75425693725689735522165915798403430274957507926625785319459886797116726939260641915032896298520047092212652522529461 (116 digits)
Divisors found:
r1=212384281450897086772265884641508716928053917665171493 (pp54)
r2=355137834167487756278128779591238230732495635751474304374346577 (pp63)
Version: Msieve v. 1.48
Total time: 9.97 hours.
Factorization parameters were as follows:
n: 75425693725689735522165915798403430274957507926625785319459886797116726939260641915032896298520047092212652522529461
Y0: -79335308079406351586032
Y1: 595883477123
c0: -602030325658187064471766383177
c1: 2520786444534513593088264
c2: 28785463669686581159
c3: -88616123082592
c4: -180189094
c5: 24
skew: 441109.13 
type: gnfs
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 9624389
Relations: 1132764 relations
Pruned matrix : 618170 x 618399
Polynomial selection time: 0.00 hours.
Total sieving time: 9.46 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.43 hours.
time per square root: 0.03 hours.
Prototype def-par.txt line would be: gnfs,115,5,63,2000,2.6e-05,0.28,250,20,50000,3600,3400000,3400000,27,27,53,53,2.5,2.5,100000
total time: 9.97 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

24671333158636319516876476348237369492019236881661891739415249273256376726439974968932816773169180977573516716909517424591051007295861831444208276977470838378345913175482377677958902831698587<191>

4672031552369986670626809499465978130707974161331152603398439546146311011537<76>
5280643523505586077182301594463960334870081963354059682042209561470317470642890567353455003969910783729116519924651<115>

Number: n
N=24671333158636319516876476348237369492019236881661891739415249273256376726439974968932816773169180977573516716909517424591051007295861831444208276977470838378345913175482377677958902831698587
  ( 191 digits)
SNFS difficulty: 201 digits.
Divisors found:

Wed May 19 09:50:53 2021  p76 factor: 4672031552369986670626809499465978130707974161331152603398439546146311011537
Wed May 19 09:50:53 2021  p115 factor: 5280643523505586077182301594463960334870081963354059682042209561470317470642890567353455003969910783729116519924651
Wed May 19 09:50:53 2021  elapsed time 01:36:47 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 3x10^201-7 = 29(200)3
#
n: 24671333158636319516876476348237369492019236881661891739415249273256376726439974968932816773169180977573516716909517424591051007295861831444208276977470838378345913175482377677958902831698587
m: 10000000000000000000000000000000000000000
deg: 5
c5: 30
c0: -7
skew: 0.75
# Murphy_E = 1.412e-11
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 28000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7795333 hash collisions in 56869035 relations (51281510 unique)
Msieve: matrix is 2007424 x 2007650 (699.1 MB)

Sieving start time : 2021/05/18 22:57:43
Sieving end time  : 2021/05/19 08:13:09

Total sieving time: 9hrs 15min 26secs.

Total relation processing time: 1hrs 17min 43sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 42sec.

Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,16000000,16000000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118236] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241088K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486148K reserved, 0K cma-reserved)
[    0.153532] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.24 BogoMIPS (lpj=12798480)
[    0.152048] smpboot: Total of 16 processors activated (102387.84 BogoMIPS)

1251509287395933762454688244747339128985240673029796643238630359255346418449571917797814257017839725235601103745104164163331868503813717799325497784591659153073320732849844419515409505824484077<193>

10749000549217158778513557457749027231026741194542467859206207<62>
47652203660338283574952366513377670572952146031058242436206519<62>
2443334923216200363548993610781570795657500575563515103027479905398469<70>

Number: n
N=1251509287395933762454688244747339128985240673029796643238630359255346418449571917797814257017839725235601103745104164163331868503813717799325497784591659153073320732849844419515409505824484077
  ( 193 digits)
SNFS difficulty: 205 digits.
Divisors found:

Mon Jul  5 10:28:43 2021  found factor: 2443334923216200363548993610781570795657500575563515103027479905398469
Mon Jul  5 10:31:43 2021  p62 factor: 10749000549217158778513557457749027231026741194542467859206207
Mon Jul  5 10:31:43 2021  p62 factor: 47652203660338283574952366513377670572952146031058242436206519
Mon Jul  5 10:31:43 2021  p70 factor: 2443334923216200363548993610781570795657500575563515103027479905398469
Mon Jul  5 10:31:43 2021  elapsed time 02:13:29 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.302).
Factorization parameters were as follows:
#
# N = 3x10^204-7 = 29(203)3
#
n: 1251509287395933762454688244747339128985240673029796643238630359255346418449571917797814257017839725235601103745104164163331868503813717799325497784591659153073320732849844419515409505824484077
m: 50000000000000000000000000000000000000000
deg: 5
c5: 48
c0: -35
skew: 0.94
# Murphy_E = 9.24e-12
type: snfs
lss: 1
rlim: 18400000
alim: 18400000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18400000/18400000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 36400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9625980 hash collisions in 61714067 relations (54233904 unique)
Msieve: matrix is 2359446 x 2359671 (816.1 MB)

Sieving start time : 2021/07/04 18:45:53
Sieving end time  : 2021/07/05 08:16:52

Total sieving time: 13hrs 30min 59secs.

Total relation processing time: 1hrs 52min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 2sec.

Prototype def-par.txt line would be:
snfs,205,5,0,0,0,0,0,0,0,0,18400000,18400000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117292] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239972K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2736K init, 4964K bss, 487264K reserved, 0K cma-reserved)
[    0.153499] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.03 BogoMIPS (lpj=12798064)
[    0.152047] smpboot: Total of 16 processors activated (102384.51 BogoMIPS)

63651831016426272297572063992318389116739660814096755220697348541326877000270632429296088709228562969500369486989189308242426229553260689457987<143>

1910164605056801962748138593116089338303<40>
33322694205473186360630508231473886318964276051293618476244343062950816827174736558690905758801698242429<104>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3923420883
Step 1 took 80341ms
Step 2 took 28712ms
********** Factor found in step 2: 1910164605056801962748138593116089338303
Found probable prime factor of 40 digits: 1910164605056801962748138593116089338303

27741135243565367389751979120780679257371961091517607549005062595232254652490807105230361084550150753080004026817967489662465012393652459067146649344657730627957520836669570946519171639153970371<194>

34020442763937085042613013879977609<35>

815425461569006575787517186164306597523762265476349822981899892030646107278892117421937041188262980841281690293089015124988170443053989129477665527149840586219<159>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=719488498
Step 1 took 10077ms
Step 2 took 5866ms
********** Factor found in step 2: 34020442763937085042613013879977609
Found probable prime factor of 35 digits: 34020442763937085042613013879977609
Composite cofactor 815425461569006575787517186164306597523762265476349822981899892030646107278892117421937041188262980841281690293089015124988170443053989129477665527149840586219 has 159 digits

GMP-ECM 6.3

815425461569006575787517186164306597523762265476349822981899892030646107278892117421937041188262980841281690293089015124988170443053989129477665527149840586219<159>

140801971426578408284257519554963371219<39>

5791292929404845164093074985790966132973471540472310566129332673530798519731404439652107525854130492827543286329844485001<121>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2209714618
Step 1 took 27126ms
Step 2 took 9877ms
********** Factor found in step 2: 140801971426578408284257519554963371219
Found probable prime factor of 39 digits: 140801971426578408284257519554963371219

5791292929404845164093074985790966132973471540472310566129332673530798519731404439652107525854130492827543286329844485001<121>

3720062413835938154892961663649333092219<40>
1556773055168491112293724763683697991118982438007128124441991213392696189274386379<82>

N = 5791292929404845164093074985790966132973471540472310566129332673530798519731404439652107525854130492827543286329844485001 (121 digits)
Divisors found:
r1=3720062413835938154892961663649333092219 (pp40)
r2=1556773055168491112293724763683697991118982438007128124441991213392696189274386379 (pp82)
Version: Msieve v. 1.48
Total time: 15.61 hours.
Factorization parameters were as follows:
n: 5791292929404845164093074985790966132973471540472310566129332673530798519731404439652107525854130492827543286329844485001
Y0: -292604780293505615123040
Y1: 9788584470031
c0: 56223354959724891086651510951
c1: -2752450831067495130224800
c2: -76842345774414870966
c3: 124855117099396
c4: 870428671
c5: 2700
skew: 167049.44 
type: gnfs
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10577628
Relations: 1339362 relations
Pruned matrix : 764186 x 764411
Polynomial selection time: 0.00 hours.
Total sieving time: 14.80 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.71 hours.
time per square root: 0.06 hours.
Prototype def-par.txt line would be: gnfs,120,5,65,2000,1e-05,0.28,250,20,50000,3600,4400000,4400000,27,27,53,53,2.5,2.5,100000
total time: 15.61 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

700443614289049731496614522530936259631099696474433808078449684800373569927620826523464861078683166005136586504786364697641839831893532570628064440812514592575297688536072846135886061172075647910343217371<204>

9176425667667057667376017012781<31>

76330767518451986798699896620642609907033541142209241008559334631604494380120898044100935293019833994137547168800074791371324296185047184739934177802725003143776336307620391<173>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2814858925
Step 1 took 8486ms
Step 2 took 5960ms
********** Factor found in step 2: 9176425667667057667376017012781
Found probable prime factor of 31 digits: 9176425667667057667376017012781
Composite cofactor 76330767518451986798699896620642609907033541142209241008559334631604494380120898044100935293019833994137547168800074791371324296185047184739934177802725003143776336307620391 has 173 digits

GMP-ECM 6.3

76330767518451986798699896620642609907033541142209241008559334631604494380120898044100935293019833994137547168800074791371324296185047184739934177802725003143776336307620391<173>

6787071698800047507582603247867534816459118729198979391331<58>
11246494940070729830804264230512645303679188107687250062950558406032155503666446278118118742610601497168651131793261<116>

Number: n
N=76330767518451986798699896620642609907033541142209241008559334631604494380120898044100935293019833994137547168800074791371324296185047184739934177802725003143776336307620391  ( 173 digits)
SNFS difficulty: 207 digits.
Divisors found:

Fri Jul  5 19:00:18 2024  prp58 factor: 6787071698800047507582603247867534816459118729198979391331
Fri Jul  5 19:00:18 2024  prp116 factor: 11246494940070729830804264230512645303679188107687250062950558406032155503666446278118118742610601497168651131793261
Fri Jul  5 19:00:18 2024  elapsed time 03:40:56 (Msieve 1.44 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.898).
Factorization parameters were as follows:
#
# N = 3x10^207-7 = 29(206)3
#
n: 76330767518451986798699896620642609907033541142209241008559334631604494380120898044100935293019833994137547168800074791371324296185047184739934177802725003143776336307620391
m: 100000000000000000000000000000000000000000
deg: 5
c5: 300
c0: -7
skew: 0.47
# Murphy_E = 8.019e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 50000000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 5859522 hash collisions in 22333142 relations (15762147 unique)
Msieve: matrix is 2610046 x 2610271 (732.9 MB)

Sieving start time: 2024/07/04 18:40:43
Sieving end time  : 2024/07/05 15:14:30

Total sieving time: 20hrs 33min 47secs.

Total relation processing time: 3hrs 32min 0sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 27sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,20000000,20000000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

2484583367254797916825921558887234616474328166587008163264292006788875592687009827935148067503479866054454282382341105303351479349923669457985653849998579646508386007190881181508836130877582175731434427<202>

1455911428278081021532901873885292547366838901791<49>
553726652395484348516863240141085539457939847503285782178732493733709998043<75>
3081932982863625293955267093932739087696663713002317182189538458288072588386879<79>

Number: n
N=2484583367254797916825921558887234616474328166587008163264292006788875592687009827935148067503479866054454282382341105303351479349923669457985653849998579646508386007190881181508836130877582175731434427  ( 202 digits)
SNFS difficulty: 208 digits.
Divisors found:

Mon Sep 14 06:07:34 2020  found factor: 3081932982863625293955267093932739087696663713002317182189538458288072588386879
Mon Sep 14 06:11:17 2020  found factor: 3081932982863625293955267093932739087696663713002317182189538458288072588386879
Mon Sep 14 06:15:01 2020  p49 factor: 1455911428278081021532901873885292547366838901791
Mon Sep 14 06:15:01 2020  p75 factor: 553726652395484348516863240141085539457939847503285782178732493733709998043
Mon Sep 14 06:15:01 2020  p79 factor: 3081932982863625293955267093932739087696663713002317182189538458288072588386879
Mon Sep 14 06:15:01 2020  elapsed time 02:47:15 (Msieve 1.54 - dependency 3)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.123).
Factorization parameters were as follows:
#
# N = 3x10^208-7 = 29(207)3
#
n: 2484583367254797916825921558887234616474328166587008163264292006788875592687009827935148067503479866054454282382341105303351479349923669457985653849998579646508386007190881181508836130877582175731434427
m: 100000000000000000000000000000000000000000
deg: 5
c5: 3000
c0: -7
skew: 0.30
# Murphy_E = 7.58e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 36100000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8771257 hash collisions in 60991240 relations (54551140 unique)
Msieve: matrix is 2491245 x 2491470 (872.2 MB)

Sieving start time: 2020/09/13 11:55:18
Sieving end time  : 2020/09/14 03:26:49

Total sieving time: 15hrs 31min 31secs.

Total relation processing time: 2hrs 17min 58sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 11min 10sec.

Prototype def-par.txt line would be:
snfs,208,5,0,0,0,0,0,0,0,0,21000000,21000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.150649] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283124K/16703460K available (12300K kernel code, 2481K rwdata, 4272K rodata, 2436K init, 2724K bss, 420336K reserved, 0K cma-reserved)
[    0.184730] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.80 BogoMIPS (lpj=11977604)
[    0.182223] smpboot: Total of 16 processors activated (95820.83 BogoMIPS)

11679332675909725397029853829629646140700004497521089843042443066169118404079388730530097422844065585199324501431462107225964165483264741136832934839476325588665208581132529934636547<182>

13551971611337418206009782826461843803479<41>

861817970909777780479626287156220940818844167908631741547323891899345053086727570276013410001362158261439113559335728575785676525615590647093<141>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=4097466950
Step 1 took 465993ms
Step 2 took 115341ms
********** Factor found in step 2: 13551971611337418206009782826461843803479
Found probable prime factor of 41 digits: 13551971611337418206009782826461843803479

861817970909777780479626287156220940818844167908631741547323891899345053086727570276013410001362158261439113559335728575785676525615590647093<141>

446743347437958316597541882113096328269014841349869967<54>
1929112041292261523812283490804809257532580123845026970901914305722645611322339668669179<88>

Number: 29993_209
N = 861817970909777780479626287156220940818844167908631741547323891899345053086727570276013410001362158261439113559335728575785676525615590647093 (141 digits)
Divisors found:
r1=446743347437958316597541882113096328269014841349869967 (pp54)
r2=1929112041292261523812283490804809257532580123845026970901914305722645611322339668669179 (pp88)
Version: Msieve v. 1.51 (SVN 845)
Total time: 363.01 hours.
Factorization parameters were as follows:
# Murphy_E = 1.771e-11, selected by Erik Branger
# expecting poly E from 1.80e-011 to > 2.07e-011
n: 861817970909777780479626287156220940818844167908631741547323891899345053086727570276013410001362158261439113559335728575785676525615590647093
Y0: -2343975237592565899474621227
Y1: 1589477204309791
c0: 30712126131215020661978996179564208
c1: 31009209805325354635677650646
c2: -172128113554314341246887
c3: -42078699771369666
c4: 130725039794
c5: 12180
skew: 1258624.02
type: gnfs
# selected mechanically
rlim: 19300000
alim: 19300000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19300000/19300000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23044040
Relations: 4040414 relations
Pruned matrix : 2494660 x 2494886
Polynomial selection time: 0.00 hours.
Total sieving time: 356.59 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 5.49 hours.
time per square root: 0.71 hours.
Prototype def-par.txt line would be: gnfs,140,5,65,2000,1e-05,0.28,250,20,50000,3600,19300000,19300000,28,28,56,56,2.6,2.6,100000
total time: 363.01 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 8, speed: 2.29GHz

GGNFS, Msieve

299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993<213>

3282134877039854878814019195676899277<37>
91403921910292996094060030519972426291085521451904777869899345682975027290828057305767709673906818534726336097672280874573526027190457557009438433080073254715512952353747084509<176>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1434698600
Step 1 took 11903ms
Step 2 took 6380ms
********** Factor found in step 2: 3282134877039854878814019195676899277
Found probable prime factor of 37 digits: 3282134877039854878814019195676899277
Probable prime cofactor 91403921910292996094060030519972426291085521451904777869899345682975027290828057305767709673906818534726336097672280874573526027190457557009438433080073254715512952353747084509 has 176 digits

GMP-ECM 6.3

499402407986336496549902704776879520789888286726894932753227849004497760800962898262973565656757876826626920019873340399204460968244687532282597114466694406114261120364951783174187<180>

86320714990293800010749818046340807763651604552110172894994317936714893773925567686362223239676278929994923373190030160159267304804903896027114964773493364197867727893371286698389113<182>

6549956811177379504493563411098892128610069016102969764609229823054273644576303133258597325393112199860064679160260118721576170215024978928696358373424668327507909719545125931<175>

278982352743822877291858111659095085504706176598812296347182893734198630004166943377599341017927168285054108599555920349040379590216399381753676755233075073294712635695049897736544493253474526119292543005133<207>

33473290350093451584824251859118439513363<41>

8334476528180445435404264660889521962100082600513253900453235757768392141658209378419263021820580103343742098520650898973160515979443677290611181014944273782678245791<166>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=350618792
Step 1 took 28756ms
Step 2 took 11061ms
********** Factor found in step 2: 33473290350093451584824251859118439513363
Found probable prime factor of 41 digits: 33473290350093451584824251859118439513363

1984254280863256439070495924672416153681816889046453376969289696495079380092505934573845015189466520008228041084646303367345656434308285650600600699912626669832654608132929162783591275366210662985654502967452277031<214>

28701749099324614652788368428060660519<38>

69133566529224110488263392335683502604334268185613089724718526830423190286260110253591808915381897171220188586111462941633538804672551185031388537734008970349564511241544616449<176>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2119486916
Step 1 took 40737ms
Step 2 took 13347ms
********** Factor found in step 2: 28701749099324614652788368428060660519
Found probable prime factor of 38 digits: 28701749099324614652788368428060660519

69133566529224110488263392335683502604334268185613089724718526830423190286260110253591808915381897171220188586111462941633538804672551185031388537734008970349564511241544616449<176>

441426639483080898840742904280498164833<39>

156613942942321852398884627426526835227207879526045138563812089364669936976423226485856159872654993899644425160446897990796921290824309153<138>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3258675652
Step 1 took 464179ms
Step 2 took 115664ms
********** Factor found in step 2: 441426639483080898840742904280498164833
Found probable prime factor of 39 digits: 441426639483080898840742904280498164833

156613942942321852398884627426526835227207879526045138563812089364669936976423226485856159872654993899644425160446897990796921290824309153<138>

113745001633004253174470445372996446299551901489<48>
1376886374731729274464750179379578942804011688188225140564924908333408151197752361104350577<91>

Number: 29993_219
N = 156613942942321852398884627426526835227207879526045138563812089364669936976423226485856159872654993899644425160446897990796921290824309153 (138 digits)
Divisors found:
r1=113745001633004253174470445372996446299551901489 (pp48)
r2=1376886374731729274464750179379578942804011688188225140564924908333408151197752361104350577 (pp91)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 269.67 hours.
Factorization parameters were as follows:
# Murphy_E = 3.221e-11, selected by Erik Branger
n: 156613942942321852398884627426526835227207879526045138563812089364669936976423226485856159872654993899644425160446897990796921290824309153
Y0: -497091343193753694451487739
Y1: 32212510570471
c0: -5458855994578156867962472920487840
c1: 14513923782612968357716330164
c2: 74583954438743541373868
c3: -33404337704866791
c4: -50980378222
c5: 5160
skew: 1231146.16
type: gnfs
# selected mechanically
rlim: 15300000
alim: 15300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 15300000/15300000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [7650000, 19350000)
Relations: 23001891
Relations in full relation-set: 3667042 relations
Pruned matrix : 2255538 x 2255765
Polynomial selection time: 0.00 hours.
Total sieving time: 265.12 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 4.28 hours.
time per square root: 0.16 hours.
Prototype def-par.txt line would be: gnfs,137,5,65,2000,1e-05,0.28,250,20,50000,3600,15300000,15300000,28,28,55,55,2.6,2.6,100000
total time: 269.67 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

145753069522973896147185318901318795415917161278733571660967136117751149784789259635536486584603454528121004764539497411430385004337401731797550859048592746817114104930087394790998727298738223294680871816746209<210>

16604002291196068357904972331980013317<38>

8778188955096475242553312900814591754941201338011240283950666119381325031311357544255986816762643558596600338546567682168768119107365551970117312203225550089175937535282477<172>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1027007255
Step 1 took 37040ms
Step 2 took 13139ms
********** Factor found in step 2: 16604002291196068357904972331980013317
Found probable prime factor of 38 digits: 16604002291196068357904972331980013317

8778188955096475242553312900814591754941201338011240283950666119381325031311357544255986816762643558596600338546567682168768119107365551970117312203225550089175937535282477<172>

8073567235996987471144993505887598059768115123573246480239<58>
1087275141025375451556960700529749500179053080567070581249811561874344518120092962164374114419186704875289036119843<115>

Number: 29993_220
N = 8778188955096475242553312900814591754941201338011240283950666119381325031311357544255986816762643558596600338546567682168768119107365551970117312203225550089175937535282477 (172 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=8073567235996987471144993505887598059768115123573246480239 (pp58)
r2=1087275141025375451556960700529749500179053080567070581249811561874344518120092962164374114419186704875289036119843 (pp115)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 70.87 hours.
Factorization parameters were as follows:
n: 8778188955096475242553312900814591754941201338011240283950666119381325031311357544255986816762643558596600338546567682168768119107365551970117312203225550089175937535282477
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 3
c0: -7
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Relations: 7486024 relations
Pruned matrix : 6606206 x 6606431
Total pre-computation time approximately 300 CPU-days.
Pre-computation saved approximately 8 G relations.
Total batch smoothness checking time: 33.77 hours.
Total relation processing time: 0.40 hours.
Matrix solve time: 36.32 hours.
time per square root: 0.38 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000
total time: 70.87 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_Factory, Msieve

8167282908288251037863715380834985463953023839938072358688967443974043477529224913694786787119705410173560199386443474012655101319290166192788520986291255787303057937952707992556959938812130438808231261<202>

24660379901145229377894032265860448289<38>
331190473992209746021357413907924708648088398186690935658134012622838434937036869482396079471853987826679800104756039702063432146623704454073062870420122129908245949<165>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4053945542
Step 1 took 37163ms
Step 2 took 13069ms
********** Factor found in step 2: 24660379901145229377894032265860448289
Found probable prime factor of 38 digits: 24660379901145229377894032265860448289

46903432303585223533993368870949105520672805427223553853690911702934772407093140428301184256777588289271298043617345413550104083061858574424715417402425758336569687310190461953556254508329<188>

1823847938939662349936755336945358798522418103558414265623037368631956647718122744686633955305402516643873937648852209631598705401119576352709867492158077010605256279908180442541746830609763980884201116028360519316869<217>

45954011195115144437690305175741401<35>

39688547125860803422629338050241867528730344957795426757011778987213528367608224564259545043972367080182716352551929137259233198870436472173395770976510203725910155629046119012880269<182>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=785042173
Step 1 took 43378ms
********** Factor found in step 1: 45954011195115144437690305175741401
Found probable prime factor of 35 digits: 45954011195115144437690305175741401

111850979660133884014053903234277684495183759381308048526255263809359525236178665974946062150219608558928599158457101177681859852757058589659060760700130749150284653034219210109948216536011150354371368047112471<210>

7199146782293787557878627437360587912942909941983443983394572273520195280425654821471060601854165078105500561478710497418085781729138914326212796868971564723842897110901<169>

946435848718459250306087089532579607532647689<45>

7606587168102242724533811274880816777954235798120189756505741920257349331139881562221229514088342301944343522563440150775309<124>

GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 7199146782293787557878627437360587912942909941983443983394572273520195280425654821471060601854165078105500561478710497418085781729138914326212796868971564723842897110901 (169 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2366221459
Step 1 took 31304ms
Step 2 took 13598ms
Run 2 out of 0:
...
Step 2 took 13569ms
Run 17 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:442766241
Step 1 took 29431ms
Step 2 took 13222ms
Run 18 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:4052625721
Step 1 took 29920ms
Step 2 took 13205ms
********** Factor found in step 2: 946435848718459250306087089532579607532647689
Found prime factor of 45 digits: 946435848718459250306087089532579607532647689
Composite cofactor 7606587168102242724533811274880816777954235798120189756505741920257349331139881562221229514088342301944343522563440150775309 has 124 digits

2x Xeon E5-2698v4, 128GB DDR4, Ubuntu Server 24.04

7606587168102242724533811274880816777954235798120189756505741920257349331139881562221229514088342301944343522563440150775309<124>

192964716497384236550732574564748538275017422383560565001<57>
39419575278703114663625506207072417034267799106086432749322586190309<68>

CADO-NFS

STA:Wed Jul 9 22:40:47 AEST 2025 (7606587168102242724533811274880816777954235798120189756505741920257349331139881562221229514088342301944343522563440150775309 - C124)

./cado-nfs.py -t 16 --no-colors 7606587168102242724533811274880816777954235798120189756505741920257349331139881562221229514088342301944343522563440150775309 2>&1 | tee -a log-177

Info:root: Using default parameter file ./parameters/factor/params.c125
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.8j7s4kr8
Info:Database: Opened connection to database /tmp/cado.8j7s4kr8/c125.db
Info:root: Set tasks.threads=16 based on --server-threads 16
Info:root: tasks.threads = 16 [via tasks.threads]
Info:root: tasks.polyselect.threads = 2 [via tasks.polyselect.threads]
Info:root: tasks.sieve.las.threads = 2 [via tasks.sieve.las.threads]
Info:root: tasks.linalg.bwc.threads = 16 [via tasks.threads]
Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads]
Info:root: slaves.scriptpath is /home/bob/Math/cado-nfs/build/TRIGKEY-2
Info:root: Command line parameters: ./cado-nfs.py -t 16 --no-colors 7606587168102242724533811274880816777954235798120189756505741920257349331139881562221229514088342301944343522563440150775309
Info:root: If this computation gets interrupted, it can be resumed with ./cado-nfs.py /tmp/cado.8j7s4kr8/c125.parameters_snapshot.0
Info:Server Launcher: Adding TRIGKEY-2 to whitelist to allow clients on localhost to connect
Info:HTTP server: Using non-threaded HTTPS server
Info:HTTP server: Using whitelist: localhost,TRIGKEY-2
Info:Lattice Sieving: param rels_wanted is 27000000
Info:Complete Factorization / Discrete logarithm: Factoring 7606587168102242724533811274880816777954235798120189756505741920257349331139881562221229514088342301944343522563440150775309
Info:HTTP server: serving at https://TRIGKEY-2:38289 (0.0.0.0)
===
Info:Polynomial Selection (root optimized): Finished, best polynomial has Murphy_E = 3.722e-06
Info:Polynomial Selection (root optimized): Best polynomial is:
n: 7606587168102242724533811274880816777954235798120189756505741920257349331139881562221229514088342301944343522563440150775309
skew: 58786.004
c0: 22329519750544386547881242704
c1: 570695762774908453228676
c2: -49796201478022350400
c3: -586582196588
c4: 7463581623
c5: 27720
Y0: -957585008321467751716205
Y1: 79756494849748753
# MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=1.342e+13) = 3.722e-06
# f(x) = 27720*x^5+7463581623*x^4-586582196588*x^3-49796201478022350400*x^2+570695762774908453228676*x+22329519750544386547881242704
# g(x) = 79756494849748753*x-957585008321467751716205

Info:Polynomial Selection (root optimized): Best overall polynomial was 1-th in list after size optimization
===
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 5640.14, WCT time 409.68, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (30000 iterations)
Info:Linear Algebra: Lingen CPU time 40.59, WCT time 17.76
Info:Linear Algebra: Mksol: CPU time 3028.19,  WCT time 225.55, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (15000 iterations)
Info:Quadratic Characters: Starting
Info:Complete Factorization / Discrete logarithm: Quadratic Characters
Info:Quadratic Characters: Total cpu/real time for characters: 20.21/4.14509
Info:Square Root: Starting
Info:Square Root: Creating file of (a,b) values
Info:Square Root: finished
Info:Square Root: Factors: 192964716497384236550732574564748538275017422383560565001 39419575278703114663625506207072417034267799106086432749322586190309
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 849.83/70.1541
Info:HTTP server: Got notification to stop serving Workunits
Info:Filtering - Merging: Total cpu/real time for merge: 66.64/6.91622
Info:Filtering - Merging: Total cpu/real time for replay: 15.51/15.1829
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 406.91
Info:Polynomial Selection (root optimized): Rootsieve time: 410.51
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 39254.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 36848/37.300/45.573/57.790/2.378
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30329/35.150/40.089/52.870/1.776
Info:Polynomial Selection (size optimized): Total time: 2236.9                                                                                                                                                                               Info:Filtering - Singleton removal: Total cpu/real time for purge: 97.22/53.2049
Info:Square Root: Total cpu/real time for sqrt: 849.83/70.1541
Info:Generate Factor Base: Total cpu/real time for makefb: 0.81/0.247765
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 28393263
Info:Lattice Sieving: Average J: 3874.32 for 111886 special-q, max bucket fill -bkmult 1.0,1s:1.250450
Info:Lattice Sieving: Total time: 23239.3s
Info:Generate Free Relations: Total cpu/real time for freerel: 182.25/14.7679
Info:Quadratic Characters: Total cpu/real time for characters: 20.21/4.14509
Info:Linear Algebra: Total cpu/real time for bwc: 9609.98/727
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 5640.14, WCT time 409.68, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (30000 iterations)
Info:Linear Algebra: Lingen CPU time 40.59, WCT time 17.76
Info:Linear Algebra: Mksol: CPU time 3028.19,  WCT time 225.55, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (15000 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 103.22/66.0101
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 65.8s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 379.55/210.989
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 174.29999999999998s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 56130.9/4217.68 [01:10:18]
Info:root: Cleaning up computation data in /tmp/cado.8j7s4kr8
192964716497384236550732574564748538275017422383560565001 39419575278703114663625506207072417034267799106086432749322586190309

END:Wed Jul 9 23:51:06 AEST 2025 (7606587168102242724533811274880816777954235798120189756505741920257349331139881562221229514088342301944343522563440150775309 - C124)

CADO-NFS

1115908830974334483798533159261640445879076246817417422088789758584788843077318365326289818969435337030491840902454593182754400484888417558630415287765535618633010401199897538974194793698606819727822233905451128399<214>

925754266077601678423131145817849<33>
1205405010664885266422618638597295738227310639865031095012105197859742854498310930725229058988299889321026189712680131190238473087241773150307106168220149064706202171114267287746951<181>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2364517864
Step 1 took 42837ms
Step 2 took 14082ms
********** Factor found in step 2: 925754266077601678423131145817849
Found probable prime factor of 33 digits: 925754266077601678423131145817849

29538897805259893069189944959187089532399247742735892714723171296068372702119908232490818325932198383237660125441852679670345900493299593347840214255472080818424395191067437303689408335876960644341824125402467482596666043067713<227>

4593015444705181782255967030052753<34>
6431264636680521122701411234500838562852037556353553846684282922035866974209834208951813181991395555534211062754992938311962269114769075488552495516455963490620689107471993202457889789943878321<193>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2850638255
Step 1 took 11591ms
Step 2 took 6630ms
********** Factor found in step 2: 4593015444705181782255967030052753
Found probable prime factor of 34 digits: 4593015444705181782255967030052753
Probable prime cofactor 6431264636680521122701411234500838562852037556353553846684282922035866974209834208951813181991395555534211062754992938311962269114769075488552495516455963490620689107471993202457889789943878321 has 193 digits

GMP-ECM 6.3

361445783132530120481927710843373493975903614457831325301204819277108433734939759036144578313253012048192771084337349397590361445783132530120481927710843373493975903614457831325301204819277108433734939759036144578313253012048192771<231>

41672280807063874197742935012787460075470052599<47>
6313792612099629428038285076830565035628798778734915557377664806295499<70>
1373743273191727061873006501827524212705989811345498992733915152201502086641542037698058205937167726229585487787871<115>

N=361445783132530120481927710843373493975903614457831325301204819277108433734939759036144578313253012048192771084337349397590361445783132530120481927710843373493975903614457831325301204819277108433734939759036144578313253012048192771
  ( 231 digits)
SNFS difficulty: 233 digits.
Divisors found:
 r1=41672280807063874197742935012787460075470052599 (pp47)
 r2=6313792612099629428038285076830565035628798778734915557377664806295499 (pp70)
 r3=1373743273191727061873006501827524212705989811345498992733915152201502086641542037698058205937167726229585487787871 (pp115)
Version: Msieve v. 1.52 (SVN Unversioned directory)
Total time:
Scaled time: 217.02 units (timescale=1.786).
Factorization parameters were as follows:
n: 361445783132530120481927710843373493975903614457831325301204819277108433734939759036144578313253012048192771084337349397590361445783132530120481927710843373493975903614457831325301204819277108433734939759036144578313253012048192771
m: 500000000000000000000000000000000000000
deg: 6
c6: 48
c0: -175
skew: 1.24
# Murphy_E = 7.449e-13
type: snfs
lss: 1
rlim: 55000000
alim: 55000000
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.7
alambda: 2.7
qintsize: 200000
Factor base limits: 55000000/55000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 60/60
Sieved rational special-q in [27500000, 64700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 8249554 x 8249780
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,233.000,6,0,0,0,0,0,0,0,0,55000000,55000000,30,30,60,60,2.7,2.7,100000
total time:

139033370947269445250587851073467979351577103649243292723597817649390316150774210388617039304551469306893361254502165384559740992427861209610126791181990613934038187323004764070173937726092568534348804676457919840953<216>

7972182533451401935335144380169222572678609<43>

17439812794536911038292614662159477623654198889161996634922198813870719538457322453558960233182529750817262611076241888295899499527569395889644111595473981286463831794829417<173>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1164636875
Step 1 took 42380ms
Step 2 took 14087ms
********** Factor found in step 2: 7972182533451401935335144380169222572678609
Found probable prime factor of 43 digits: 7972182533451401935335144380169222572678609

17439812794536911038292614662159477623654198889161996634922198813870719538457322453558960233182529750817262611076241888295899499527569395889644111595473981286463831794829417<173>

650480769022243902131512412795301725119<39>
26810650867897583524571427389811788172487997471587593554418248438010498250560953024973563600634727716688499909168667118351843810614743<134>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3931956988
Step 1 took 98676ms
Step 2 took 34368ms
********** Factor found in step 2: 650480769022243902131512412795301725119
Found probable prime factor of 39 digits: 650480769022243902131512412795301725119

5644267112576188985592388967137531812665020033888980559090334549334713166297922688385943176184991650402512809220970242439056591950861067800213058775906029938578450954011498350523804158174724759119164819804063<208>

156256348365580955094194059250426779311802704965677394081424024657769458775366970869728196222473909091173292886706174267137776698036758320097033882155546404955332795059548417469407359864423291827626238889350796747355123<219>

28045545907756312520697910047953<32>
5571521013693889156792937834676386997553152579864737884280218339010073082767048355649205341457182322750175738049498245072040976313645444378983003192647417256022306151204068657311395093891<187>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3632593255
Step 1 took 12901ms
Step 2 took 9920ms
********** Factor found in step 2: 28045545907756312520697910047953
Found probable prime factor of 32 digits: 28045545907756312520697910047953
Probable prime cofactor 557152101369... has 187 digits

10954865480653114014875027315105727689031826491077652737527835228965912838853887387902549907421742635369717716574602849476835957869779171829747890999605113689514166665559491327463696504827389328049208701<203>

302801870187859965828465122200710136580938861<45>

36178328336798760489137734687733370175632491035819802354493450049987937289690843703737707536212387200128337067598578243536556798553798691698214928608825711441<158>

GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 10954865480653114014875027315105727689031826491077652737527835228965912838853887387902549907421742635369717716574602849476835957869779171829747890999605113689514166665559491327463696504827389328049208701 (203 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1808817287
Step 1 took 41530ms
Step 2 took 17078ms
Run 2 out of 0:
...
Step 1 took 41048ms
Step 2 took 16753ms
Run 22 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:105223186
Step 1 took 40844ms
Step 2 took 16000ms
Run 23 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3304965263
Step 1 took 39949ms
********** Factor found in step 1: 302801870187859965828465122200710136580938861
Found prime factor of 45 digits: 302801870187859965828465122200710136580938861
Composite cofactor 36178328336798760489137734687733370175632491035819802354493450049987937289690843703737707536212387200128337067598578243536556798553798691698214928608825711441 has 158 digits

2x Xeon E5-2698v4, 128GB DDR4, Ubuntu Server 24.04

2070994139566605854334726674641366549959728174779705474337047343515426530478337783884363157095381576802760969274772489499192487512391673889365728670179168855198300341734520578027451748683898862022013<199>

277289590872407094341497964278638664151681726749341466993015376854328213319375827181026452968900182788524001456040372494022526704812306376203847705939851956881926861963405923002903041096566594898775325313815414949<213>

1087834338566305870313819449105543724677<40>

254900568075334469074379132513091056564374798390858960851877134943908286798911094607931749535730686685658657656026088878252888338822537348537650887726873486538876951843064737<174>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2789588278
Step 1 took 162409ms
Step 2 took 46261ms
********** Factor found in step 2: 1087834338566305870313819449105543724677
Found probable prime factor of 40 digits: 1087834338566305870313819449105543724677

2999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993<241>

7856821866862916804039555540313662806917046472164148420345240531124117987328685794039870626713419725499375248833309<115>
381833780991377412760166174029188033289030378176211934933834928040857906934570989631774138695471941181805052295602824899732877<126>

p115 factor: 7856821866862916804039555540313662806917046472164148420345240531124117987328685794039870626713419725499375248833309
p126 factor: 381833780991377412760166174029188033289030378176211934933834928040857906934570989631774138695471941181805052295602824899732877

ggnfs-lasieve4I14e on the NFS@Home grid + msieve

27057222922416577022195566912371500732796279565279536037705196987934688016708479216804119857526571105943185223009039528489609101420288946268183266951351667530798618320445924872140100400819018653<194>

122027759481395582201252966669853172200469<42>

221730064023192491474253188543185330170835165458361692122217821305672976692715445906778670702314312300367692757544086730302769460619859804373207559717737<153>

GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 27057222922416577022195566912371500732796279565279536037705196987934688016708479216804119857526571105943185223009039528489609101420288946268183266951351667530798618320445924872140100400819018653 (194 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3902020085
Step 1 took 43722ms
Step 2 took 16113ms
Run 2 out of 0:
...
Step 2 took 16086ms
Run 10 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3949689969
Step 1 took 40297ms
Step 2 took 16554ms
Run 11 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3694129641
Step 1 took 41592ms
Step 2 took 16355ms
********** Factor found in step 2: 122027759481395582201252966669853172200469
Found prime factor of 42 digits: 122027759481395582201252966669853172200469
Composite cofactor 221730064023192491474253188543185330170835165458361692122217821305672976692715445906778670702314312300367692757544086730302769460619859804373207559717737 has 153 digits

2x Xeon E5-2698v4, 128GB DDR4, Ubuntu Server 24.04

221730064023192491474253188543185330170835165458361692122217821305672976692715445906778670702314312300367692757544086730302769460619859804373207559717737<153>

187126483185136061264430186613939911034567189520410648738214252903<66>
1184920809973331886997161043393546993761854930800280318779610570913297184891692900872879<88>

Thu Jul 17 23:38:07 2025  
Thu Jul 17 23:38:07 2025  
Thu Jul 17 23:38:07 2025  Msieve v. 1.54 (SVN Unversioned directory)
Thu Jul 17 23:38:07 2025  random seeds: b6bc0afd 8a4f12a7
Thu Jul 17 23:38:07 2025  MPI process 0 of 1
Thu Jul 17 23:38:07 2025  Using 8 OpenMP threads
Thu Jul 17 23:38:07 2025  factoring 221730064023192491474253188543185330170835165458361692122217821305672976692715445906778670702314312300367692757544086730302769460619859804373207559717737 (153 digits)
Thu Jul 17 23:38:07 2025  searching for 15-digit factors
Thu Jul 17 23:38:07 2025  commencing number field sieve (153-digit input)
Thu Jul 17 23:38:07 2025  R0: -74721237716411412139960219115
Thu Jul 17 23:38:07 2025  R1: 167484366998380562419607
Thu Jul 17 23:38:07 2025  A0: -1272576802595433591770153665195973712
Thu Jul 17 23:38:07 2025  A1: 6874418057259437234556306647068
Thu Jul 17 23:38:07 2025  A2: 17444594713555058546023032
Thu Jul 17 23:38:07 2025  A3: -1933638953420457757
Thu Jul 17 23:38:07 2025  A4: -1222134767286
Thu Jul 17 23:38:07 2025  A5: 60480
Thu Jul 17 23:38:07 2025  skew 2358042.20, size 1.098e-14, alpha -8.088, combined = 4.667e-12 rroots = 5
Thu Jul 17 23:38:07 2025  
Thu Jul 17 23:38:07 2025  commencing relation filtering
Thu Jul 17 23:38:07 2025  setting target matrix density to 110.0
Thu Jul 17 23:38:07 2025  estimated available RAM is 64046.8 MB
Thu Jul 17 23:38:07 2025  commencing duplicate removal, pass 1
Thu Jul 17 23:39:44 2025  found 5944813 hash collisions in 117103491 relations
Thu Jul 17 23:39:59 2025  added 121821 free relations
Thu Jul 17 23:39:59 2025  commencing duplicate removal, pass 2
Thu Jul 17 23:40:22 2025  found 0 duplicates and 117225312 unique relations
Thu Jul 17 23:40:22 2025  memory use: 394.4 MB
Thu Jul 17 23:40:22 2025  reading ideals above 720000
Thu Jul 17 23:40:22 2025  commencing singleton removal, initial pass
Thu Jul 17 23:44:06 2025  memory use: 3012.0 MB
Thu Jul 17 23:44:06 2025  reading all ideals from disk
Thu Jul 17 23:44:07 2025  memory use: 5020.8 MB
Thu Jul 17 23:44:12 2025  keeping 124695610 ideals with weight <= 200, target excess is 967050
Thu Jul 17 23:44:21 2025  commencing in-memory singleton removal
Thu Jul 17 23:44:23 2025  begin with 117225312 relations and 124695610 unique ideals
Thu Jul 17 23:44:38 2025  reduce to 42034255 relations and 36568405 ideals in 19 passes
Thu Jul 17 23:44:38 2025  max relations containing the same ideal: 106
Thu Jul 17 23:44:48 2025  removing 7003278 relations and 6003278 ideals in 1000000 cliques
Thu Jul 17 23:44:50 2025  commencing in-memory singleton removal
Thu Jul 17 23:44:50 2025  begin with 35030977 relations and 36568405 unique ideals
Thu Jul 17 23:44:55 2025  reduce to 34117344 relations and 29622716 ideals in 11 passes
Thu Jul 17 23:44:55 2025  max relations containing the same ideal: 92
Thu Jul 17 23:45:03 2025  removing 5228012 relations and 4228012 ideals in 1000000 cliques
Thu Jul 17 23:45:04 2025  commencing in-memory singleton removal
Thu Jul 17 23:45:05 2025  begin with 28889332 relations and 29622716 unique ideals
Thu Jul 17 23:45:08 2025  reduce to 28244899 relations and 24731193 ideals in 10 passes
Thu Jul 17 23:45:08 2025  max relations containing the same ideal: 79
Thu Jul 17 23:45:15 2025  removing 4681020 relations and 3681020 ideals in 1000000 cliques
Thu Jul 17 23:45:16 2025  commencing in-memory singleton removal
Thu Jul 17 23:45:16 2025  begin with 23563879 relations and 24731193 unique ideals
Thu Jul 17 23:45:19 2025  reduce to 22935669 relations and 20400902 ideals in 11 passes
Thu Jul 17 23:45:19 2025  max relations containing the same ideal: 69
Thu Jul 17 23:45:25 2025  removing 4416158 relations and 3416158 ideals in 1000000 cliques
Thu Jul 17 23:45:26 2025  commencing in-memory singleton removal
Thu Jul 17 23:45:26 2025  begin with 18519511 relations and 20400902 unique ideals
Thu Jul 17 23:45:29 2025  reduce to 17826878 relations and 16263972 ideals in 10 passes
Thu Jul 17 23:45:29 2025  max relations containing the same ideal: 61
Thu Jul 17 23:45:33 2025  removing 2329389 relations and 1888262 ideals in 441127 cliques
Thu Jul 17 23:45:34 2025  commencing in-memory singleton removal
Thu Jul 17 23:45:34 2025  begin with 15497489 relations and 16263972 unique ideals
Thu Jul 17 23:45:36 2025  reduce to 15267970 relations and 14141084 ideals in 9 passes
Thu Jul 17 23:45:36 2025  max relations containing the same ideal: 58
Thu Jul 17 23:45:41 2025  relations with 0 large ideals: 25218
Thu Jul 17 23:45:41 2025  relations with 1 large ideals: 274105
Thu Jul 17 23:45:41 2025  relations with 2 large ideals: 1276515
Thu Jul 17 23:45:41 2025  relations with 3 large ideals: 3133809
Thu Jul 17 23:45:41 2025  relations with 4 large ideals: 4385555
Thu Jul 17 23:45:41 2025  relations with 5 large ideals: 3647201
Thu Jul 17 23:45:41 2025  relations with 6 large ideals: 1854231
Thu Jul 17 23:45:41 2025  relations with 7+ large ideals: 671336
Thu Jul 17 23:45:41 2025  commencing 2-way merge
Thu Jul 17 23:45:46 2025  reduce to 8574744 relation sets and 7447858 unique ideals
Thu Jul 17 23:45:46 2025  commencing full merge
Thu Jul 17 23:46:50 2025  memory use: 744.2 MB
Thu Jul 17 23:46:51 2025  found 3736677 cycles, need 3622058
Thu Jul 17 23:46:52 2025  weight of 3622058 cycles is about 399043715 (110.17/cycle)
Thu Jul 17 23:46:52 2025  distribution of cycle lengths:
Thu Jul 17 23:46:52 2025  1 relations: 251067
Thu Jul 17 23:46:52 2025  2 relations: 243226
Thu Jul 17 23:46:52 2025  3 relations: 259757
Thu Jul 17 23:46:52 2025  4 relations: 261124
Thu Jul 17 23:46:52 2025  5 relations: 262443
Thu Jul 17 23:46:52 2025  6 relations: 254763
Thu Jul 17 23:46:52 2025  7 relations: 245287
Thu Jul 17 23:46:52 2025  8 relations: 234614
Thu Jul 17 23:46:52 2025  9 relations: 220171
Thu Jul 17 23:46:52 2025  10+ relations: 1389606
Thu Jul 17 23:46:52 2025  heaviest cycle: 25 relations
Thu Jul 17 23:46:52 2025  commencing cycle optimization
Thu Jul 17 23:46:57 2025  start with 30575698 relations
Thu Jul 17 23:47:31 2025  pruned 1003698 relations
Thu Jul 17 23:47:31 2025  memory use: 906.2 MB
Thu Jul 17 23:47:31 2025  distribution of cycle lengths:
Thu Jul 17 23:47:31 2025  1 relations: 251067
Thu Jul 17 23:47:31 2025  2 relations: 249288
Thu Jul 17 23:47:31 2025  3 relations: 269321
Thu Jul 17 23:47:31 2025  4 relations: 270376
Thu Jul 17 23:47:31 2025  5 relations: 272580
Thu Jul 17 23:47:31 2025  6 relations: 263985
Thu Jul 17 23:47:31 2025  7 relations: 254316
Thu Jul 17 23:47:31 2025  8 relations: 241685
Thu Jul 17 23:47:31 2025  9 relations: 226772
Thu Jul 17 23:47:31 2025  10+ relations: 1322668
Thu Jul 17 23:47:31 2025  heaviest cycle: 25 relations
Thu Jul 17 23:47:34 2025  RelProcTime: 567
Thu Jul 17 23:47:34 2025  
Thu Jul 17 23:47:34 2025  commencing linear algebra
Thu Jul 17 23:47:34 2025  using VBITS=256
Thu Jul 17 23:47:34 2025  initialized process (0,0) of 1 x 1 grid
Thu Jul 17 23:47:34 2025  read 3622058 cycles
Thu Jul 17 23:47:39 2025  cycles contain 14331980 unique relations
Thu Jul 17 23:47:52 2025  read 14331980 relations
Thu Jul 17 23:47:56 2025  using 20 quadratic characters above 4294917295
Thu Jul 17 23:48:03 2025  building initial matrix
Thu Jul 17 23:49:33 2025  memory use: 1901.2 MB
Thu Jul 17 23:49:34 2025  read 3622058 cycles
Thu Jul 17 23:49:34 2025  matrix is 3621859 x 3622058 (1600.0 MB) with weight 499050155 (137.78/col)
Thu Jul 17 23:49:34 2025  sparse part has weight 375976020 (103.80/col)
Thu Jul 17 23:50:00 2025  filtering completed in 2 passes
Thu Jul 17 23:50:01 2025  matrix is 3618535 x 3618733 (1599.5 MB) with weight 498835296 (137.85/col)
Thu Jul 17 23:50:01 2025  sparse part has weight 375881197 (103.87/col)
Thu Jul 17 23:50:20 2025  matrix starts at (0, 0)
Thu Jul 17 23:50:21 2025  matrix is 3618535 x 3618733 (1599.5 MB) with weight 498835296 (137.85/col)
Thu Jul 17 23:50:21 2025  sparse part has weight 375881197 (103.87/col)
Thu Jul 17 23:50:21 2025  saving the first 240 matrix rows for later
Thu Jul 17 23:50:21 2025  matrix includes 256 packed rows
Thu Jul 17 23:50:22 2025  matrix is 3618295 x 3618733 (1433.5 MB) with weight 341714750 (94.43/col)
Thu Jul 17 23:50:22 2025  sparse part has weight 317888926 (87.85/col)
Thu Jul 17 23:50:22 2025  using block size 8192 and superblock size 294912 for processor cache size 12288 kB
Thu Jul 17 23:50:27 2025  commencing Lanczos iteration (8 threads)
Thu Jul 17 23:50:27 2025  memory use: 2110.2 MB
Thu Jul 17 23:52:18 2025  linear algebra at 0.8%, ETA 3h34m
Thu Jul 17 23:55:00 2025  checking every 10000 dimensions, checkpointing every 1020000 dimensions
Fri Jul 18 03:21:13 2025  lanczos halted after 14178 iterations (dim = 3618294)
Fri Jul 18 03:21:24 2025  recovered 29 nontrivial dependencies
Fri Jul 18 03:21:24 2025  BLanczosTime: 12830
Fri Jul 18 03:21:24 2025  
Fri Jul 18 03:21:24 2025  commencing square root phase
Fri Jul 18 03:21:24 2025  handling dependencies 1 to 64
Fri Jul 18 03:21:24 2025  reading relations for dependency 1
Fri Jul 18 03:21:24 2025  read 1810086 cycles
Fri Jul 18 03:21:26 2025  cycles contain 7166178 unique relations
Fri Jul 18 03:21:36 2025  read 7166178 relations
Fri Jul 18 03:21:52 2025  multiplying 7166178 relations
Fri Jul 18 03:22:47 2025  multiply complete, coefficients have about 373.37 million bits
Fri Jul 18 03:22:47 2025  initial square root is modulo 5005489
Fri Jul 18 03:24:14 2025  GCD is N, no factor found
Fri Jul 18 03:24:14 2025  reading relations for dependency 2
Fri Jul 18 03:24:14 2025  read 1808529 cycles
Fri Jul 18 03:24:16 2025  cycles contain 7164456 unique relations
Fri Jul 18 03:24:26 2025  read 7164456 relations
Fri Jul 18 03:24:42 2025  multiplying 7164456 relations
Fri Jul 18 03:25:36 2025  multiply complete, coefficients have about 373.28 million bits
Fri Jul 18 03:25:37 2025  initial square root is modulo 4986523
Fri Jul 18 03:27:04 2025  GCD is 1, no factor found
Fri Jul 18 03:27:04 2025  reading relations for dependency 3
Fri Jul 18 03:27:04 2025  read 1808662 cycles
Fri Jul 18 03:27:06 2025  cycles contain 7164556 unique relations
Fri Jul 18 03:27:16 2025  read 7164556 relations
Fri Jul 18 03:27:32 2025  multiplying 7164556 relations
Fri Jul 18 03:28:26 2025  multiply complete, coefficients have about 373.28 million bits
Fri Jul 18 03:28:26 2025  initial square root is modulo 4986523
Fri Jul 18 03:29:53 2025  GCD is N, no factor found
Fri Jul 18 03:29:53 2025  reading relations for dependency 4
Fri Jul 18 03:29:53 2025  read 1810000 cycles
Fri Jul 18 03:29:55 2025  cycles contain 7166122 unique relations
Fri Jul 18 03:30:05 2025  read 7166122 relations
Fri Jul 18 03:30:21 2025  multiplying 7166122 relations
Fri Jul 18 03:31:15 2025  multiply complete, coefficients have about 373.37 million bits
Fri Jul 18 03:31:16 2025  initial square root is modulo 5006579
Fri Jul 18 03:32:42 2025  GCD is N, no factor found
Fri Jul 18 03:32:42 2025  reading relations for dependency 5
Fri Jul 18 03:32:42 2025  read 1808991 cycles
Fri Jul 18 03:32:44 2025  cycles contain 7163470 unique relations
Fri Jul 18 03:32:54 2025  read 7163470 relations
Fri Jul 18 03:33:10 2025  multiplying 7163470 relations
Fri Jul 18 03:34:04 2025  multiply complete, coefficients have about 373.22 million bits
Fri Jul 18 03:34:05 2025  initial square root is modulo 4975897
Fri Jul 18 03:35:31 2025  GCD is N, no factor found
Fri Jul 18 03:35:31 2025  reading relations for dependency 6
Fri Jul 18 03:35:31 2025  read 1807671 cycles
Fri Jul 18 03:35:33 2025  cycles contain 7160652 unique relations
Fri Jul 18 03:35:43 2025  read 7160652 relations
Fri Jul 18 03:35:59 2025  multiplying 7160652 relations
Fri Jul 18 03:36:53 2025  multiply complete, coefficients have about 373.08 million bits
Fri Jul 18 03:36:54 2025  initial square root is modulo 4945867
Fri Jul 18 03:38:20 2025  sqrtTime: 1016
Fri Jul 18 03:38:20 2025  p66 factor: 187126483185136061264430186613939911034567189520410648738214252903
Fri Jul 18 03:38:20 2025  p88 factor: 1184920809973331886997161043393546993761854930800280318779610570913297184891692900872879
Fri Jul 18 03:38:20 2025  elapsed time 04:00:13

cado-nfs, msieve 1.54

Ubuntu 24.04, i3-12100, i9-14900k, 64GB DDR4

201009483967159598494356685203870716614951404486531548140679593620975550845937592265237604838447830145603102500445214230959828735041829835752343217974484074535514671547223392914485239439076790295005893976637778590911765035715267956701<234>

413881824556167139153161734487884112259218751892873597424363373412511756427285290385917049417357254995991280359337636603999033476592308910618052742576983387092632959317866810082705648775896552785141210760422752346319<216>

50703343536962500546867779788535271979<38>

8162811279978986449936185496666462568085060844574156135360054926838434261586662548266181848120955526162930637021030427444698805536798239582979616643804656577458708258389845716461<178>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3733424734
Step 1 took 22692ms
Step 2 took 9950ms
********** Factor found in step 2: 50703343536962500546867779788535271979
Found probable prime factor of 38 digits: 50703343536962500546867779788535271979

363379713690695044319581799328584248326142536025974560784918665045672199313889425212968172384227054055315018834257494003590257800663<132>

7997849521795649410272834526716328440021703<43>
45434677496796700479371157072170966153744120026625416816996294663260383488250739706078321<89>

Number: 29993_245
N = 363379713690695044319581799328584248326142536025974560784918665045672199313889425212968172384227054055315018834257494003590257800663 (132 digits)
Divisors found:
r1=7997849521795649410272834526716328440021703 (pp43)
r2=45434677496796700479371157072170966153744120026625416816996294663260383488250739706078321 (pp89)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 141.18 hours.
Factorization parameters were as follows:
# Murphy_E = 6.705e-11, selected by Erik Branger
n: 363379713690695044319581799328584248326142536025974560784918665045672199313889425212968172384227054055315018834257494003590257800663
Y0: -35383217405755347782335200
Y1: 9533884779347
c0: 114119802138239622379016845070909
c1: 2362459938565462078072075859
c2: -6464199172304942038327
c3: -4948708726459491
c4: 10370190018
c5: 6552
skew: 749224.58
type: gnfs
# selected mechanically
rlim: 10800000
alim: 10800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 10800000/10800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [5400000, 11200000)
Relations: 19579895
Relations in full relation-set: 2790544 relations
Pruned matrix : 1634020 x 1634249
Polynomial selection time: 0.00 hours.
Total sieving time: 138.20 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 2.60 hours.
time per square root: 0.26 hours.
Prototype def-par.txt line would be: gnfs,131,5,65,2000,1e-05,0.28,250,20,50000,3600,10800000,10800000,28,28,54,54,2.6,2.6,100000
total time: 141.18 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

319865584136715785402183782624896018081174359052980731185817284140826598841532554087959113177970119690625750111188683485106024141095558011568741059641490059357258921919282316116951953614442796050851<198>

44598047827344607256979648308707417564232949866651846516000733908425660590356007515952354677789942362990786614868525986817441639633370838644109476788625654135084988723005660531490881913321154058552543573877923575059562833570447593<230>

6173869122760316369510568089003408637392864391664520359586458029791558785494838585416516451055979717489159586016695386493503643942512362833836425667061898720701837592854135266416322753511146170365474427<202>

7803003820497363571586604256043446558189<40>

791216980637950509951244380777032565573155622347955375595157757313816549291910559818119377286757852912903971609620119018689821240237744711157090641024596112660743<162>

GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 6173869122760316369510568089003408637392864391664520359586458029791558785494838585416516451055979717489159586016695386493503643942512362833836425667061898720701837592854135266416322753511146170365474427 (202 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:4049579799
Step 1 took 44585ms
Step 2 took 17097ms
Run 2 out of 0:
...
Step 2 took 16381ms
Run 35 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:801024784
Step 1 took 40336ms
Step 2 took 16392ms
Run 36 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:4113689278
Step 1 took 39874ms
Step 2 took 16044ms
********** Factor found in step 2: 7803003820497363571586604256043446558189
Found prime factor of 40 digits: 7803003820497363571586604256043446558189
Composite cofactor 791216980637950509951244380777032565573155622347955375595157757313816549291910559818119377286757852912903971609620119018689821240237744711157090641024596112660743 has 162 digits

2x Xeon E5-2698v4, 128GB DDR4, Ubuntu Server 24.04

791216980637950509951244380777032565573155622347955375595157757313816549291910559818119377286757852912903971609620119018689821240237744711157090641024596112660743<162>

127263994742983872533320923810192557558147<42>
6217131422252252509045665951043631381121223591743765017795248598616184482325282915524676244342214560001049075379001773869<121>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 791216980637950509951244380777032565573155622347955375595157757313816549291910559818119377286757852912903971609620119018689821240237744711157090641024596112660743 (162 digits)
Using B1=60120000, B2=388129104100, polynomial Dickson(30), sigma=1:3595954709
Step 1 took 156716ms
Step 2 took 63284ms
********** Factor found in step 2: 127263994742983872533320923810192557558147
Found prime factor of 42 digits: 127263994742983872533320923810192557558147
Prime cofactor 6217131422252252509045665951043631381121223591743765017795248598616184482325282915524676244342214560001049075379001773869 has 121 digits

4809213472776303168483484796128434082192910177040753934291535995334888116668312317783614373262404482735273865083907187527416116973529265294588594256793072657592177965539<169>

4869178824519285585809006414302711<34>
987684709495362895203165977420899510628196981008649126905529995945945825777765948532338199812268170540997263619113792963969656706885749<135>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=650034800
Step 1 took 27015ms
Step 2 took 10367ms
********** Factor found in step 2: 4869178824519285585809006414302711
Found probable prime factor of 34 digits: 4869178824519285585809006414302711

638297872340425531914893617021276595744680851063829787234042553191489361702127659574468085106382978723404255319148936170212765957446808510638297872340425531914893617021276595744680851063829787234042553191489361702127659574468085106382978723404255319<249>

24962573181629919871815348892044491430159022285817161010394690983057217033779049852203500403197484731472280519905465249372051990376642133382928453692234710350239119183911618147061243828746784634679572681182733777526265907<221>

2712439830754963425070673926599560310098125793496629627746876107925116969175977053106052012065805398499460376143002051884749181226088255581349926571853771427080156741527085850927196571684354668129792098962724582496109745594459123<229>

1294176568335850110736093316989519717018597<43>

2095880807240099578027156671169268975092083807984971648869942295070178322648307105030385141326288524555156917721579389088196515399787942309528731637332970820273883050002588839142909952759<187>

GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 2712439830754963425070673926599560310098125793496629627746876107925116969175977053106052012065805398499460376143002051884749181226088255581349926571853771427080156741527085850927196571684354668129792098962724582496109745594459123 (229 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:116284687
Step 1 took 49451ms
Step 2 took 17853ms
Run 2 out of 0:
...
Step 2 took 17799ms
Run 60 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3780485976
Step 1 took 45604ms
Step 2 took 17775ms
Run 61 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2968618343
Step 1 took 45622ms
Step 2 took 17792ms
********** Factor found in step 2: 1294176568335850110736093316989519717018597
Found prime factor of 43 digits: 1294176568335850110736093316989519717018597
Composite cofactor 2095880807240099578027156671169268975092083807984971648869942295070178322648307105030385141326288524555156917721579389088196515399787942309528731637332970820273883050002588839142909952759 has 187 digits

2x Xeon E5-2698v4, 128GB DDR4, Ubuntu Server 24.04

106317594774803849144608234619170402018499139824440683030910266256270699577928288501163176400375287314404009017069443184155801401359042218733690576238271691396157254799578133336812712110790096785208147588857008660702167697991937<228>

42537224210403891563825096237536119842035843<44>

2499401330207163558421677689018065926939037306906791369368886615254445800357098452079921946230029629249705941377824177157487622827491884476618471750061058824495656051952777775922780459<184>

C:\MYDATA\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:2966097456 3e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 106317594774803849144608234619170402018499139824440683030910266256270699577928288501163176400375287314404009017069443184155801401359042218733690576238271691396157254799578133336812712110790096785208147588857008660702167697991937 (228 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2966097456
Step 1 took 9547ms
Step 2 took 5843ms
********** Factor found in step 2: 42537224210403891563825096237536119842035843
Found probable prime factor of 44 digits: 42537224210403891563825096237536119842035843
Composite cofactor 2499401330207163558421677689018065926939037306906791369368886615254445800357098452079921946230029629249705941377824177157487622827491884476618471750061058824495656051952777775922780459 has 184 digits