111111111111111111111111111111111111111111111111111111111111111109861111111111111111111111111111111111111111111111111111111111111<129>

263423579164782871040935591258259338617019<42>
421796376252280336824357142531527918341191434606221937456102328356656345513205616007269<87>

N=111111111111111111111111111111111111111111111111111111111111111109861111111111111111111111111111111111111111111111111111111111111
  ( 129 digits)
SNFS difficulty: 129 digits.
Divisors found:
p42 factor: 263423579164782871040935591258259338617019
p87 factor: 421796376252280336824357142531527918341191434606221937456102328356656345513205616007269
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 2.34 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 111111111111111111111111111111111111111111111111111111111111111109861111111111111111111111111111111111111111111111111111111111111
m: 100000000000000000000000000000000
deg: 4
c4: 80
c2: -9
c0: -8
skew: 0.56
# Murphy_E = 1.851e-08
type: snfs
lss: 1
rlim: 1020000
alim: 1020000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1020000/1020000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [510000, 910001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 107351 x 107580
Total sieving time: 2.28 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,129.000,4,0,0,0,0,0,0,0,0,1020000,1020000,26,26,47,47,2.3,2.3,100000
total time: 2.34 hours.
 --------- CPU info (if available) ----------

218055227696089857278558843167555792100200119996922774558311125743695718956372914671161885019458492439375581014694079<117>

7645758770892163183495703612918528791<37>
28519762947039143215760336001048448405542238916402719649404668540913150105532569<80>

218055227696089857278558843167555792100200119996922774558311125743695718956372914671161885019458492439375581014694079=7645758770892163183495703612918528791*28519762947039143215760336001048448405542238916402719649404668540913150105532569

cado polynomial
n: 218055227696089857278558843167555792100200119996922774558311125743695718956372914671161885019458492439375581014694079
skew: 0.89
type: snfs
c0: -20
c2: -9
c4: 32
Y0: 5000000000000000000000000000000000
Y1: -1
# f(x) = 32*x^4-9*x^2-20
# g(x) = -x+500000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1310000
tasks.lim1 = 1310000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 48
tasks.sieve.mfb1 = 48
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 7645758770892163183495703612918528791 28519762947039143215760336001048448405542238916402719649404668540913150105532569
Info:Square Root: Total cpu/real time for sqrt: 18.46/6.12146
Info:Filtering - Singleton removal: Total cpu/real time for purge: 46.79/41.3071
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6122558
Info:Lattice Sieving: Average J: 1896 for 66560 special-q, max bucket fill -bkmult 1.0,1s:1.331820
Info:Lattice Sieving: Total time: 6311.83s
Info:Linear Algebra: Total cpu/real time for bwc: 245.75/65.29
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 143.34, WCT time 37.28, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4032 iterations)
Info:Linear Algebra: Lingen CPU time 15.93, WCT time 4.11
Info:Linear Algebra: Mksol: CPU time 78.55,  WCT time 20.54, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (2048 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 44.16/12.9859
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.35/23.1821
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 23.1s
Info:Filtering - Merging: Merged matrix has 128525 rows and total weight 21916879 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 25.86/7.1816
Info:Filtering - Merging: Total cpu/real time for replay: 4.24/3.53317
Info:Generate Factor Base: Total cpu/real time for makefb: 0.8/0.448764
Info:Quadratic Characters: Total cpu/real time for characters: 4.09/1.58908
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 47.91/44.5855
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 36.900000000000006s
Info:Square Root: Total cpu/real time for sqrt: 18.46/6.12146
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 11796.3/3498.75
Info:root: Cleaning up computation data in /tmp/cado.v7llol37
7645758770892163183495703612918528791 28519762947039143215760336001048448405542238916402719649404668540913150105532569

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

77023856692258978829813947830807870760183725889851702162161304900625817917652010643072151068671287116363191971463257<116>

1594209592589011883832617240497133437223<40>
48314761779328831172436791408893137872153074586400631439636912236099348357759<77>

77023856692258978829813947830807870760183725889851702162161304900625817917652010643072151068671287116363191971463257=1594209592589011883832617240497133437223*48314761779328831172436791408893137872153074586400631439636912236099348357759

cado polynomial
n: 77023856692258978829813947830807870760183725889851702162161304900625817917652010643072151068671287116363191971463257
skew: 0.89
type: snfs
c0: -20
c2: -9
c4: 32
Y0: 50000000000000000000000000000000000
Y1: -1
# f(x) = 32*x^4-9*x^2-20
# g(x) = -x+5000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1530000
tasks.lim1 = 1530000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 48
tasks.sieve.mfb1 = 48
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 48314761779328831172436791408893137872153074586400631439636912236099348357759 1594209592589011883832617240497133437223
Info:Square Root: Total cpu/real time for sqrt: 23.32/7.67116
Info:Generate Free Relations: Total cpu/real time for freerel: 43.94/12.5922
Info:Filtering - Singleton removal: Total cpu/real time for purge: 43.25/38.3729
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6055406
Info:Lattice Sieving: Average J: 1896.93 for 98608 special-q, max bucket fill -bkmult 1.0,1s:1.319920
Info:Lattice Sieving: Total time: 8775.43s
Info:Linear Algebra: Total cpu/real time for bwc: 348.71/91.85
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 202.66, WCT time 52.39, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (5120 iterations)
Info:Linear Algebra: Lingen CPU time 21.58, WCT time 5.52
Info:Linear Algebra: Mksol: CPU time 111.04,  WCT time 28.76, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (2560 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.66/23.0789
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 23.0s
Info:Filtering - Merging: Merged matrix has 160406 rows and total weight 27371420 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 32.76/9.17772
Info:Filtering - Merging: Total cpu/real time for replay: 4.88/4.07916
Info:Generate Factor Base: Total cpu/real time for makefb: 0.95/0.531189
Info:Quadratic Characters: Total cpu/real time for characters: 4.92/1.92253
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 47.54/46.6076
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 35.8s
Info:Square Root: Total cpu/real time for sqrt: 23.32/7.67116
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 16408.9/4747.21
Info:root: Cleaning up computation data in /tmp/cado._myvf2fk
48314761779328831172436791408893137872153074586400631439636912236099348357759 1594209592589011883832617240497133437223

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

95859528351538353840110108043782407319442222277054568510060258157140943629702697525020379741737674998105549199560383767<119>

140140035200087481758661361005594118151<39>
684026718094320230196715819735270980811640630842662276581898719059752108352495217<81>

95859528351538353840110108043782407319442222277054568510060258157140943629702697525020379741737674998105549199560383767=140140035200087481758661361005594118151*684026718094320230196715819735270980811640630842662276581898719059752108352495217

cado polynomial
n: 95859528351538353840110108043782407319442222277054568510060258157140943629702697525020379741737674998105549199560383767
skew: 0.89
type: snfs
c0: -20
c2: -9
c4: 32
Y0: 50000000000000000000000000000000000000
Y1: -1
# f(x) = 32*x^4-9*x^2-20
# g(x) = -x+5000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2400000
tasks.lim1 = 2400000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 50
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 140140035200087481758661361005594118151 684026718094320230196715819735270980811640630842662276581898719059752108352495217
Info:Square Root: Total cpu/real time for sqrt: 49.33/15.9902
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11659175
Info:Lattice Sieving: Average J: 1897.77 for 312169 special-q, max bucket fill -bkmult 1.0,1s:1.307380
Info:Lattice Sieving: Total time: 30804.7s
Info:Generate Free Relations: Total cpu/real time for freerel: 88.53/24.745
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.42/48.8033
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 48.7s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 99.06/83.3182
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 74.5s
Info:Filtering - Merging: Merged matrix has 312456 rows and total weight 53376957 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 63.69/17.7803
Info:Filtering - Merging: Total cpu/real time for replay: 9.8/8.08227
Info:Linear Algebra: Total cpu/real time for bwc: 1438.8/371.59
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 884.32, WCT time 225.84, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9856 iterations)
Info:Linear Algebra: Lingen CPU time 46.98, WCT time 11.99
Info:Linear Algebra: Mksol: CPU time 479.13,  WCT time 122.48, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4992 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 1.49/0.833308
Info:Quadratic Characters: Total cpu/real time for characters: 9.86/3.8751
Info:Square Root: Total cpu/real time for sqrt: 49.33/15.9902
Info:Filtering - Singleton removal: Total cpu/real time for purge: 81.72/72.2387
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 58299.7/16225.1
Info:root: Cleaning up computation data in /tmp/cado.g7jqunew
140140035200087481758661361005594118151 684026718094320230196715819735270980811640630842662276581898719059752108352495217

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

887925432761688494970946653719159890242871582070459670454159964018226955574773256869613341749215441098472508685836817104092510733413<132>

627497727368264429736660811736844939493773543692657524433719<60>
1415025734811282989201919602345741391754822194995924570511601274686217027<73>

887925432761688494970946653719159890242871582070459670454159964018226955574773256869613341749215441098472508685836817104092510733413= 627497727368264429736660811736844939493773543692657524433719*1415025734811282989201919602345741391754822194995924570511601274686217027

cado polynomial
n: 887925432761688494970946653719159890242871582070459670454159964018226955574773256869613341749215441098472508685836817104092510733413
skew: 0.47
type: snfs
c0: -8
c2: -9
c4: 80
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 80*x^4-9*x^2-4
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2600000
tasks.lim1 = 2600000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 50
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1415025734811282989201919602345741391754822194995924570511601274686217027 627497727368264429736660811736844939493773543692657524433719
Info:Square Root: Total cpu/real time for sqrt: 90.97/28.897
Info:Filtering - Singleton removal: Total cpu/real time for purge: 81.5/72.0524
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11619165
Info:Lattice Sieving: Average J: 1920.96 for 306408 special-q, max bucket fill -bkmult 1.0,1s:1.317850
Info:Lattice Sieving: Total time: 31275.3s
Info:Linear Algebra: Total cpu/real time for bwc: 1474.16/380.39
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 907.09, WCT time 231.39, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9984 iterations)
Info:Linear Algebra: Lingen CPU time 47.93, WCT time 12.22
Info:Linear Algebra: Mksol: CPU time 490.24,  WCT time 125.09, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4992 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 87.19/23.8837
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.9/48.6014
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 48.5s
Info:Filtering - Merging: Merged matrix has 315365 rows and total weight 53834576 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 63.71/17.7649
Info:Filtering - Merging: Total cpu/real time for replay: 9.87/8.21408
Info:Generate Factor Base: Total cpu/real time for makefb: 1.61/0.908545
Info:Quadratic Characters: Total cpu/real time for characters: 9.84/3.89422
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 100.39/84.2696
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 76.19999999999999s
Info:Square Root: Total cpu/real time for sqrt: 90.97/28.897
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 59208.7/16479.1
Info:root: Cleaning up computation data in /tmp/cado.efbqg8ps
1415025734811282989201919602345741391754822194995924570511601274686217027 627497727368264429736660811736844939493773543692657524433719

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

729259407318999555971398144786987827938653241105856846991500789745783015169327304134496020007753091752715459701559<114>

81997351516319125627860107010656769683<38>
8893694660050846099806038246843371529454761777655220564083752691880711600973<76>

729259407318999555971398144786987827938653241105856846991500789745783015169327304134496020007753091752715459701559=81997351516319125627860107010656769683*8893694660050846099806038246843371529454761777655220564083752691880711600973

cado polynomial
n: 729259407318999555971398144786987827938653241105856846991500789745783015169327304134496020007753091752715459701559
skew: 0.89
type: snfs
c0: -20
c2: -9
c4: 32
Y0: 500000000000000000000000000000000000000
Y1: -1
# f(x) = 32*x^4-9*x^2-20
# g(x) = -x+50000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2800000
tasks.lim1 = 2800000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 50
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 81997351516319125627860107010656769683 8893694660050846099806038246843371529454761777655220564083752691880711600973
Info:Square Root: Total cpu/real time for sqrt: 111.17/35.3905
Info:Filtering - Singleton removal: Total cpu/real time for purge: 72.9/66.1245
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11624289
Info:Lattice Sieving: Average J: 1897.1 for 447722 special-q, max bucket fill -bkmult 1.0,1s:1.325980
Info:Lattice Sieving: Total time: 44028.1s
Info:Linear Algebra: Total cpu/real time for bwc: 2222.91/571.89
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1379.66, WCT time 351.8, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12160 iterations)
Info:Linear Algebra: Lingen CPU time 57.58, WCT time 14.7
Info:Linear Algebra: Mksol: CPU time 749.93,  WCT time 191.05, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6144 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.81/49.5267
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 49.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 100.03/84.8669
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 76.9s
Info:Filtering - Merging: Merged matrix has 386975 rows and total weight 65938633 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 78.34/22.168
Info:Filtering - Merging: Total cpu/real time for replay: 12.15/10.1172
Info:Generate Factor Base: Total cpu/real time for makefb: 1.79/0.972077
Info:Quadratic Characters: Total cpu/real time for characters: 12.08/4.76382
Info:Square Root: Total cpu/real time for sqrt: 111.17/35.3905
Info:Generate Free Relations: Total cpu/real time for freerel: 87.85/24.1188
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 83467.8/23065.8
Info:root: Cleaning up computation data in /tmp/cado.sb5vjqoe
81997351516319125627860107010656769683 8893694660050846099806038246843371529454761777655220564083752691880711600973

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

8043641635176058114457816502653803968291009089219128964477611341648794839857334848307054805037336646214816546484983295173053115834161197497<139>

6308220424773170151252335978369830825537000463<46>
1275104719484384524359085312916444459193531429570666054707253418686643565540045928943709844919<94>

Number: n
N=8043641635176058114457816502653803968291009089219128964477611341648794839857334848307054805037336646214816546484983295173053115834161197497  ( 139 digits)
SNFS difficulty: 157 digits.
Divisors found:

Thu May 19 16:33:15 2022  p46 factor: 6308220424773170151252335978369830825537000463
Thu May 19 16:33:15 2022  p94 factor: 1275104719484384524359085312916444459193531429570666054707253418686643565540045928943709844919
Thu May 19 16:33:15 2022  elapsed time 00:06:32 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.332).
Factorization parameters were as follows:
#
# N = 8x10^157-9x10^78-8 = 8(78)78(78)
#
n: 8043641635176058114457816502653803968291009089219128964477611341648794839857334848307054805037336646214816546484983295173053115834161197497
m: 1000000000000000000000000000000000000000
deg: 4
c4: 80
c2: -9
c0: -8
skew: 0.56
# Murphy_E = 7.174e-10
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 14300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1582666 hash collisions in 14922572 relations (14805156 unique)
Msieve: matrix is 433704 x 433932 (144.2 MB)

Sieving start time : 2022/05/19 14:51:23
Sieving end time  : 2022/05/19 16:25:10

Total sieving time: 1hrs 33min 47secs.

Total relation processing time: 0hrs 2min 49sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 15sec.

Prototype def-par.txt line would be:
snfs,157,4,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

341968604739923544059163917118105073136598344431193512649027460583582318431329859827723971190758767527552027564434900821639607<126>

56681623715260831228307680969159394160187961293<47>
6033147646895173471264462945338610175632591318981885717075065961747348487441299<79>

341968604739923544059163917118105073136598344431193512649027460583582318431329859827723971190758767527552027564434900821639607=56681623715260831228307680969159394160187961293*6033147646895173471264462945338610175632591318981885717075065961747348487441299

cado polynomial
n: 341968604739923544059163917118105073136598344431193512649027460583582318431329859827723971190758767527552027564434900821639607
skew: 0.56
type: snfs
c0: -8
c2: -9
c4: 80
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 80*x^4-9*x^2-8
# g(x) = -x+10000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 3500000
tasks.lim1 = 3500000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 51
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 6033147646895173471264462945338610175632591318981885717075065961747348487441299 56681623715260831228307680969159394160187961293
Info:Square Root: Total cpu/real time for sqrt: 102.14/32.3286
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11629746
Info:Lattice Sieving: Average J: 1897.06 for 544164 special-q, max bucket fill -bkmult 1.0,1s:1.312330
Info:Lattice Sieving: Total time: 56552.6s
Info:Generate Free Relations: Total cpu/real time for freerel: 87.81/24.3437
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 46.96/52.1187
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 52.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 103.4/87.541
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 78.80000000000001s
Info:Filtering - Merging: Merged matrix has 548622 rows and total weight 93718542 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 114.52/32.1725
Info:Filtering - Merging: Total cpu/real time for replay: 18.32/15.2831
Info:Linear Algebra: Total cpu/real time for bwc: 4530.86/1164.66
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 2824.96, WCT time 721.12, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (17408 iterations)
Info:Linear Algebra: Lingen CPU time 97.12, WCT time 24.63
Info:Linear Algebra: Mksol: CPU time 1526.27,  WCT time 389.27, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8704 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 2.16/1.20254
Info:Quadratic Characters: Total cpu/real time for characters: 18.03/7.12032
Info:Square Root: Total cpu/real time for sqrt: 102.14/32.3286
Info:Filtering - Singleton removal: Total cpu/real time for purge: 58.6/59.1452
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 109134/29910.7
Info:root: Cleaning up computation data in /tmp/cado.aiisw3xb
6033147646895173471264462945338610175632591318981885717075065961747348487441299 56681623715260831228307680969159394160187961293

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

22442155344599295316322179582127067483561121210081016180794003456091923068291478713363181399941650396104041832177562333086469624542741084853789357929935591014161<161>

71493934182525424593480621680815747154114333<44>
313902928985611981040044004313752253633795097719385621571390906142119190580787207879927669297925085309763590042288517<117>

Number: n
N=22442155344599295316322179582127067483561121210081016180794003456091923068291478713363181399941650396104041832177562333086469624542741084853789357929935591014161  ( 161 digits)
SNFS difficulty: 165 digits.
Divisors found:

Fri May 20 20:59:44 2022  p44 factor: 71493934182525424593480621680815747154114333
Fri May 20 20:59:44 2022  p117 factor: 313902928985611981040044004313752253633795097719385621571390906142119190580787207879927669297925085309763590042288517
Fri May 20 20:59:44 2022  elapsed time 00:09:51 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.317).
Factorization parameters were as follows:
#
# N = 8x10^165-9x10^82-8 = 8(82)78(82)
#
n: 22442155344599295316322179582127067483561121210081016180794003456091923068291478713363181399941650396104041832177562333086469624542741084853789357929935591014161
m: 100000000000000000000000000000000000000000
deg: 4
c4: 80
c2: -9
c0: -8
skew: 0.56
# Murphy_E = 2.727e-10
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 14850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2427795 hash collisions in 15430294 relations (14276792 unique)
Msieve: matrix is 585883 x 586108 (200.5 MB)

Sieving start time : 2022/05/20 19:37:51
Sieving end time  : 2022/05/20 20:49:34

Total sieving time: 1hrs 11min 43secs.

Total relation processing time: 0hrs 5min 8sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 9sec.

Prototype def-par.txt line would be:
snfs,165,4,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

2834022899665706008669260812299787705233598020366620428637736576147668325022833994731144424154443586766458051067740925769674144897044444445281617<145>

1931085361143873167486523972562824321910150813902886764442896366481<67>
1467580334194538269014282679959998310010470208936721644882707883244617783416257<79>

Number: n
N=2834022899665706008669260812299787705233598020366620428637736576147668325022833994731144424154443586766458051067740925769674144897044444445281617  ( 145 digits)
SNFS difficulty: 169 digits.
Divisors found:

Mon May 23 19:20:15 2022  p67 factor: 1931085361143873167486523972562824321910150813902886764442896366481
Mon May 23 19:20:15 2022  p79 factor: 1467580334194538269014282679959998310010470208936721644882707883244617783416257
Mon May 23 19:20:15 2022  elapsed time 00:09:14 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.318).
Factorization parameters were as follows:
#
# N = 8x10^169-9x10^84-8 = 8(84)78(84)
#
n: 2834022899665706008669260812299787705233598020366620428637736576147668325022833994731144424154443586766458051067740925769674144897044444445281617
m: 1000000000000000000000000000000000000000000
deg: 4
c4: 80
c2: -9
c0: -8
skew: 0.56
# Murphy_E = 1.671e-10
type: snfs
lss: 1
rlim: 4800000
alim: 4800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1564178 hash collisions in 14774598 relations (14686101 unique)
Msieve: matrix is 583937 x 584166 (202.0 MB)

Sieving start time : 2022/05/23 17:24:42
Sieving end time  : 2022/05/23 19:10:44

Total sieving time: 1hrs 46min 2secs.

Total relation processing time: 0hrs 5min 9sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 26sec.

Prototype def-par.txt line would be:
snfs,169,4,0,0,0,0,0,0,0,0,4800000,4800000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

1146337995039052182810330722243483322236615983318287384705647464854675601874594211728959663911624213673130837703849503779330602952747<133>

3784043422911259864707246372305994024575836860895485898067519<61>
302939968420635937452232684605610771114648803655599622426738238367925013<72>

Number: n
N=1146337995039052182810330722243483322236615983318287384705647464854675601874594211728959663911624213673130837703849503779330602952747  ( 133 digits)
SNFS difficulty: 173 digits.
Divisors found:

Mon Jun  6 21:33:24 2022  p61 factor: 3784043422911259864707246372305994024575836860895485898067519
Mon Jun  6 21:33:24 2022  p72 factor: 302939968420635937452232684605610771114648803655599622426738238367925013
Mon Jun  6 21:33:24 2022  elapsed time 00:13:11 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.326).
Factorization parameters were as follows:
#
# N = 8x10^173-9x10^86-8 = 8(86)78(86)
#
n: 1146337995039052182810330722243483322236615983318287384705647464854675601874594211728959663911624213673130837703849503779330602952747
m: 10000000000000000000000000000000000000000000
deg: 4
c4: 80
c2: -9
c0: -8
skew: 0.56
# Murphy_E = 1.02e-10
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1208904 hash collisions in 11901995 relations (11954045 unique)
Msieve: matrix is 795378 x 795603 (276.8 MB)

Sieving start time : 2022/06/06 18:03:49
Sieving end time  : 2022/06/06 21:19:45

Total sieving time: 3hrs 15min 56secs.

Total relation processing time: 0hrs 9min 25sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 42sec.

Prototype def-par.txt line would be:
snfs,173,4,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154118] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204)
[    0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)

1024674811616698499466644336678066886056776866139369281662415889410737677887370720845754823457024403533972545887289198781540848572141382597632364208769295191610249<163>

22137616453880425976004329498330153609284470131<47>
142297962819304869230317388939716048857840163157<48>
325279369252653722706616960808979657789694946557501296669719661307847<69>

Number: n
N=1024674811616698499466644336678066886056776866139369281662415889410737677887370720845754823457024403533972545887289198781540848572141382597632364208769295191610249  ( 163 digits)
SNFS difficulty: 180 digits.
Divisors found:

Sun May 29 16:57:10 2022  found factor: 142297962819304869230317388939716048857840163157
Sun May 29 16:58:04 2022  found factor: 142297962819304869230317388939716048857840163157
Sun May 29 16:58:59 2022  found factor: 142297962819304869230317388939716048857840163157
Sun May 29 16:59:54 2022  found factor: 142297962819304869230317388939716048857840163157
Sun May 29 17:00:48 2022  p47 factor: 22137616453880425976004329498330153609284470131
Sun May 29 17:00:48 2022  p48 factor: 142297962819304869230317388939716048857840163157
Sun May 29 17:00:48 2022  p69 factor: 325279369252653722706616960808979657789694946557501296669719661307847
Sun May 29 17:00:48 2022  elapsed time 00:21:31 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 8x10^179-9x10^89-8 = 8(89)78(89)
#
n: 1024674811616698499466644336678066886056776866139369281662415889410737677887370720845754823457024403533972545887289198781540848572141382597632364208769295191610249
m: 1000000000000000000000000000000
deg: 6
c6: 8
c3: -9
c0: -80
skew: 1.47
# Murphy_E = 6.601e-11
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 9200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3439709 hash collisions in 29611043 relations (27584808 unique)
Msieve: matrix is 821343 x 821570 (278.4 MB)

Sieving start time : 2022/05/29 13:39:01
Sieving end time  : 2022/05/29 16:38:43

Total sieving time: 2hrs 59min 42secs.

Total relation processing time: 0hrs 9min 57sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 34sec.

Prototype def-par.txt line would be:
snfs,180,6,0,0,0,0,0,0,0,0,7200000,7200000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

19971136957838083891422731469479377156644194915645461905312604649118173642543429123842933773599073528095243199446495660676000984462634921<137>

1264556601959382951838768168584307<34>
15792995684727403572370444913530612179350308003774181875636212995750706282484618473876932053473250726003<104>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:58983245
Step 1 took 5922ms
Step 2 took 3328ms
********** Factor found in step 2: 1264556601959382951838768168584307
Found prime factor of 34 digits: 1264556601959382951838768168584307
Prime cofactor 15792995684727403572370444913530612179350308003774181875636212995750706282484618473876932053473250726003 has 104 digits
 

GMP-ECM

20486804716475995404828024673100458168324327815713866970620693481204900343842296489162703290821368621787663924082197132267563843470325386212644728005061992716200649403533641<173>

454942258198514322935222240888102332183639284349<48>
45031659177144555502310550661155553134794351367160705674070860683169564991778548065064717158179926169128234934601884562200509<125>

Number: n
N=20486804716475995404828024673100458168324327815713866970620693481204900343842296489162703290821368621787663924082197132267563843470325386212644728005061992716200649403533641  ( 173 digits)
SNFS difficulty: 186 digits.
Divisors found:

Sat May 28 18:44:34 2022  p48 factor: 454942258198514322935222240888102332183639284349
Sat May 28 18:44:34 2022  p125 factor: 45031659177144555502310550661155553134794351367160705674070860683169564991778548065064717158179926169128234934601884562200509
Sat May 28 18:44:34 2022  elapsed time 00:29:11 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.343).
Factorization parameters were as follows:
#
# N = 8x10^185-9x10^92-8 = 8(92)78(92)
#
n: 20486804716475995404828024673100458168324327815713866970620693481204900343842296489162703290821368621787663924082197132267563843470325386212644728005061992716200649403533641
m: 10000000000000000000000000000000
deg: 6
c6: 8
c3: -9
c0: -80
skew: 1.47
# Murphy_E = 4.252e-11
type: snfs
lss: 1
rlim: 9100000
alim: 9100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9100000/9100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3249953 hash collisions in 29057597 relations (27211404 unique)
Msieve: matrix is 1021937 x 1022164 (351.2 MB)

Sieving start time : 2022/05/28 14:16:35
Sieving end time  : 2022/05/28 18:14:55

Total sieving time: 3hrs 58min 20secs.

Total relation processing time: 0hrs 16min 52sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 9sec.

Prototype def-par.txt line would be:
snfs,186,6,0,0,0,0,0,0,0,0,9100000,9100000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

28316955705925505181382270072137159962266019347401078587875906796003913401338705461689517481641288913390745791742467<116>

1996117484690991122675484996440058377549<40>
14186016566208832259296317266890900363309759957990077756218989523621203799183<77>

28316955705925505181382270072137159962266019347401078587875906796003913401338705461689517481641288913390745791742467=1996117484690991122675484996440058377549*14186016566208832259296317266890900363309759957990077756218989523621203799183

cado polynomial
n: 28316955705925505181382270072137159962266019347401078587875906796003913401338705461689517481641288913390745791742467
skew: 29997.968
c0: -529212859563313636215857370
c1: -58657161036743991567921
c2: 3228557977509762408
c3: 9536470740935
c4: 246655036
c5: 31200
Y0: -20486171929738174012966
Y1: 15296037007473383
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.019e-06
# f(x) = 31200*x^5+246655036*x^4+9536470740935*x^3+3228557977509762408*x^2-58657161036743991567921*x-529212859563313636215857370
# g(x) = 15296037007473383*x-20486171929738174012966

cado parameters (extracts)
tasks.lim0 = 2500000
tasks.lim1 = 4500000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 14186016566208832259296317266890900363309759957990077756218989523621203799183 1996117484690991122675484996440058377549
Info:Square Root: Total cpu/real time for sqrt: 145.77/44.2262
Info:Filtering - Singleton removal: Total cpu/real time for purge: 88.82/103.637
Info:Generate Free Relations: Total cpu/real time for freerel: 63.97/17.0638
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7285986
Info:Lattice Sieving: Average J: 1888.44 for 161394 special-q, max bucket fill -bkmult 1.0,1s:1.249330
Info:Lattice Sieving: Total time: 18040.8s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.21/1.13847
Info:Linear Algebra: Total cpu/real time for bwc: 2816.13/725.02
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1745.09, WCT time 445.69, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14336 iterations)
Info:Linear Algebra: Lingen CPU time 74.17, WCT time 18.92
Info:Linear Algebra: Mksol: CPU time 957.71,  WCT time 244.53, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7168 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 29.66/31.3565
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 30.7s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 272.51
Info:Polynomial Selection (root optimized): Rootsieve time: 271.46
Info:Filtering - Merging: Merged matrix has 455519 rows and total weight 70809042 (155.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 73.61/21.9167
Info:Filtering - Merging: Total cpu/real time for replay: 15.44/12.5346
Info:Quadratic Characters: Total cpu/real time for characters: 16.62/6.46153
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21492.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21946/33.880/41.215/46.230/1.081
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 17329/32.880/36.460/41.640/0.824
Info:Polynomial Selection (size optimized): Total time: 1757.64
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 119.5/129.482
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 95.30000000000001s
Info:Square Root: Total cpu/real time for sqrt: 145.77/44.2262
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 38553.8/10583.6
Info:root: Cleaning up computation data in /tmp/cado.kj96ue83
14186016566208832259296317266890900363309759957990077756218989523621203799183 1996117484690991122675484996440058377549

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

78802206461780929866036249014972419227738376674546887312844759653270291568163908589440504334121266745468873128447596532702915681639085894405043341213553979511426319936958234830575256107171<188>

228358137127009186614654917190114458293<39>

345081666251079934672337828268065448834181381882842668955268870768856621348028303834098297820812922054521572034357171774055022486792540812393747481847<150>

Z:\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:4225922324 3e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 78802206461780929866036249014972419227738376674546887312844759653270291568163908589440504334121266745468873128447596532702915681639085894405043341213553979511426319936958234830575256107171 (188 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4225922324
Step 1 took 4079ms
Step 2 took 3906ms
********** Factor found in step 2: 228358137127009186614654917190114458293
Found probable prime factor of 39 digits: 228358137127009186614654917190114458293
Composite cofactor 345081666251079934672337828268065448834181381882842668955268870768856621348028303834098297820812922054521572034357171774055022486792540812393747481847 has 150 digits

345081666251079934672337828268065448834181381882842668955268870768856621348028303834098297820812922054521572034357171774055022486792540812393747481847<150>

17829842638549657700417825495112616154421828355145783788217052302028323<71>
19354162190135296380252575741846226886923030966699485500202211481791750596245789<80>

345081666251079934672337828268065448834181381882842668955268870768856621348028303834098297820812922054521572034357171774055022486792540812393747481847=17829842638549657700417825495112616154421828355145783788217052302028323*19354162190135296380252575741846226886923030966699485500202211481791750596245789

cado polynomial
n: 345081666251079934672337828268065448834181381882842668955268870768856621348028303834098297820812922054521572034357171774055022486792540812393747481847
skew: 1.47
type: snfs
c0: -80
c3: -9
c6: 8
Y0: 100000000000000000000000000000000
Y1: -1
# f(x) = 8*x^6-9*x^3-80
# g(x) = -x+100000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 11500000
tasks.lim1 = 11500000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 19354162190135296380252575741846226886923030966699485500202211481791750596245789 17829842638549657700417825495112616154421828355145783788217052302028323
Info:Square Root: Total cpu/real time for sqrt: 517.66/163.613
Info:Filtering - Singleton removal: Total cpu/real time for purge: 349.29/337.603
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 108.08/108.901
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 108.3s
Info:Quadratic Characters: Total cpu/real time for characters: 66.11/28.4712
Info:Generate Free Relations: Total cpu/real time for freerel: 221.91/57.0249
Info:Square Root: Total cpu/real time for sqrt: 517.66/163.613
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25053118
Info:Lattice Sieving: Average J: 1894.78 for 1664885 special-q, max bucket fill -bkmult 1.0,1s:1.179410
Info:Lattice Sieving: Total time: 323688s
Info:Generate Factor Base: Total cpu/real time for makefb: 9.3/3.42689
Info:Filtering - Merging: Merged matrix has 1868932 rows and total weight 320091180 (171.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 516.82/141.766
Info:Filtering - Merging: Total cpu/real time for replay: 71.9/65.1559
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 494.51/546.627
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 462.8s
Info:Linear Algebra: Total cpu/real time for bwc: 58737.4/15114.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 37829.6, WCT time 9689.99, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (58624 iterations)
Info:Linear Algebra: Lingen CPU time 377.17, WCT time 95.81
Info:Linear Algebra: Mksol: CPU time 20177.3,  WCT time 5191.34, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (29440 iterations)
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 669288/112984
19354162190135296380252575741846226886923030966699485500202211481791750596245789 17829842638549657700417825495112616154421828355145783788217052302028323

cado-nfs-3.0.0

Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

1377153729491834549503241644791458796864867331687965624851086085062598564910577257634758102036119186471915105561056011968840053458059936783932390158303973743053117<163>

5417312663044880165229653409244666679875927<43>
254213447727749401265381678716205704112678100102944784900397865317588218559834890764252688958367586443665561742384664971<120>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 1377153729491834549503241644791458796864867331687965624851086085062598564910577257634758102036119186471915105561056011968840053458059936783932390158303973743053117 (163 digits)
Using B1=18600000, B2=70271005360, polynomial Dickson(12), sigma=1:1320154097
Step 1 took 42495ms
Step 2 took 18091ms
********** Factor found in step 2: 5417312663044880165229653409244666679875927
Found prime factor of 43 digits: 5417312663044880165229653409244666679875927
Prime cofactor 254213447727749401265381678716205704112678100102944784900397865317588218559834890764252688958367586443665561742384664971 has 120 digits

3087815195012671463031783910640673699226028933741400992484125382033258760514259991320456748229559435380569805453918209369969157765732368736415027149016266709069056266776965295413401391<184>

807528690906602322802084492914426764029370637599<48>
3823783885060504922670612828371402957007307479514050263246934838946079797379924833426719617577514280537122755620599840930445050113537009<136>

Number: n
N=3087815195012671463031783910640673699226028933741400992484125382033258760514259991320456748229559435380569805453918209369969157765732368736415027149016266709069056266776965295413401391  ( 184 digits)
SNFS difficulty: 195 digits.
Divisors found:

Wed Jul 20 09:32:29 2022  p48 factor: 807528690906602322802084492914426764029370637599
Wed Jul 20 09:32:29 2022  p136 factor: 3823783885060504922670612828371402957007307479514050263246934838946079797379924833426719617577514280537122755620599840930445050113537009
Wed Jul 20 09:32:29 2022  elapsed time 01:07:13 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.346).
Factorization parameters were as follows:
#
# N = 8x10^195-9x10^97-8 = 8(97)78(97)
#
n: 3087815195012671463031783910640673699226028933741400992484125382033258760514259991320456748229559435380569805453918209369969157765732368736415027149016266709069056266776965295413401391
m: 100000000000000000000000000000000
deg: 6
c6: 4000
c3: -45
c0: -4
skew: 0.32
# Murphy_E = 1.508e-11
type: snfs
lss: 1
rlim: 12700000
alim: 12700000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12700000/12700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 4751111)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3720017 hash collisions in 28051033 relations (26296269 unique)
Msieve: matrix is 1683382 x 1683607 (587.1 MB)

Sieving start time : 2022/07/20 00:15:03
Sieving end time  : 2022/07/20 08:24:46

Total sieving time: 8hrs 9min 43secs.

Total relation processing time: 0hrs 56min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 3sec.

Prototype def-par.txt line would be:
snfs,195,6,0,0,0,0,0,0,0,0,12700000,12700000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119387] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153505] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.16 BogoMIPS (lpj=12798328)
[    0.152037] smpboot: Total of 16 processors activated (102386.62 BogoMIPS)

767189814836663091291328030188218349677948655053049994124758317517952396111668909020021510876343938820117994151480725096532693088647868770133047426911508936121439749<165>

2239547819662776863775314480140674967777849725034071989453091197791<67>
342564605274730772143835798580010433684085754546071256949422995393203470924972948716945130666054939<99>

Number: n
N=767189814836663091291328030188218349677948655053049994124758317517952396111668909020021510876343938820117994151480725096532693088647868770133047426911508936121439749  ( 165 digits)
SNFS difficulty: 198 digits.
Divisors found:

Sat Sep  3 19:45:19 2022  p67 factor: 2239547819662776863775314480140674967777849725034071989453091197791
Sat Sep  3 19:45:19 2022  p99 factor: 342564605274730772143835798580010433684085754546071256949422995393203470924972948716945130666054939
Sat Sep  3 19:45:19 2022  elapsed time 01:04:54 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.336).
Factorization parameters were as follows:
#
# N = 8x10^197-9x10^98-8 = 8(98)78(98)
#
n: 767189814836663091291328030188218349677948655053049994124758317517952396111668909020021510876343938820117994151480725096532693088647868770133047426911508936121439749
m: 1000000000000000000000000000000000
deg: 6
c6: 8
c3: -9
c0: -80
skew: 1.47
# Murphy_E = 1.738e-11
type: snfs
lss: 1
rlim: 14500000
alim: 14500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14500000/14500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 20050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3362280 hash collisions in 28025858 relations (25919890 unique)
Msieve: matrix is 1664888 x 1665113 (579.6 MB)

Sieving start time : 2022/09/03 12:47:08
Sieving end time  : 2022/09/03 18:39:52

Total sieving time: 5hrs 52min 44secs.

Total relation processing time: 0hrs 54min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 34sec.

Prototype def-par.txt line would be:
snfs,198,6,0,0,0,0,0,0,0,0,14500000,14500000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

117705174383892194123119602119216782867047880152053820160583439738343760106215163245993740663016869178723998190637025616842883305065083620630067488819866929<156>

315539458951702297994666443723573802415367<42>
104622341545624272718418062013459411602823036449<48>
3565475387424760708272493470882805703827096017535506981364312596263<67>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1812720699
Step 1 took 28351ms
Step 2 took 12964ms
********** Factor found in step 2: 315539458951702297994666443723573802415367
Found prime factor of 42 digits: 315539458951702297994666443723573802415367
Composite cofactor 373028383755670341823341267046743056707684416694586882627576894763473741780669063833634194450253757057880270190087 has 114 digits


C114 has been factored by GNFS:
N=373028383755670341823341267046743056707684416694586882627576894763473741780669063833634194450253757057880270190087
  ( 114 digits)
Divisors found:
 r1=104622341545624272718418062013459411602823036449 (pp48)
 r2=3565475387424760708272493470882805703827096017535506981364312596263 (pp67)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 19.27 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 373028383755670341823341267046743056707684416694586882627576894763473741780669063833634194450253757057880270190087
skew: 52467.80
c0: 1328918401415056414571280925
c1: 11729606158419488581641
c2: -2516727368005268573
c3: -44762003412573
c4: 3164680120
c5: 8700
Y0: -8439055003584972074784
Y1: 40291225369187
rlim: 4240000
alim: 4240000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 4240000/4240000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2120000, 3220001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 402160 x 402387
Total sieving time: 19.10 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,113,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4240000,4240000,27,27,54,54,2.5,2.5,100000
total time: 19.27 hours.
 --------- CPU info (if available) ----------

642179494586241972720528999577171285517139395281971125168751536954558208467259858799642471582672884848978490286872438295314855139279375352133126535078782998485187149349<168>

104016853140998474533123440418867216857531953154058800720952046793479<69>
6173802371388271632153711449483405086131703422731291004920879037244711333166987426282501922165628531<100>

Number: n
N=642179494586241972720528999577171285517139395281971125168751536954558208467259858799642471582672884848978490286872438295314855139279375352133126535078782998485187149349  ( 168 digits)
SNFS difficulty: 201 digits.
Divisors found:

Fri Nov  4 08:25:58 2022  p69 factor: 104016853140998474533123440418867216857531953154058800720952046793479
Fri Nov  4 08:25:58 2022  p100 factor: 6173802371388271632153711449483405086131703422731291004920879037244711333166987426282501922165628531
Fri Nov  4 08:25:58 2022  elapsed time 01:50:17 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 8x10^201-9x10^100-8 = 8(100)78(100)
#
n: 642179494586241972720528999577171285517139395281971125168751536954558208467259858799642471582672884848978490286872438295314855139279375352133126535078782998485187149349
m: 1000000000000000000000000000000000
deg: 6
c6: 4000
c3: -45
c0: -4
skew: 0.32
# Murphy_E = 9.602e-12
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 27
lpba: 27
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 55/55
Sieved  special-q in [100000, 42400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2377128 hash collisions in 14646280 relations (13167581 unique)
Msieve: matrix is 2298037 x 2298263 (800.6 MB)

Sieving start time : 2022/11/03 16:58:39
Sieving end time  : 2022/11/04 06:35:19

Total sieving time: 13hrs 36min 40secs.

Total relation processing time: 1hrs 40min 36sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 29sec.

Prototype def-par.txt line would be:
snfs,201,6,0,0,0,0,0,0,0,0,16000000,16000000,27,27,55,55,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

45248597853586801132800126279983684490220315313423284058410295067243043032158440925838011523283458933666946614526306191655805908627157932072642357684202069253660156899507101<173>

1923984921638178795996921156338182507<37>

23518166563935355245423367330897109392144072048472225131074039329088249364317522150486331714177156780720210501121568492241227961350129943<137>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1280827985
Step 1 took 7345ms
Step 2 took 3872ms
********** Factor found in step 2: 1923984921638178795996921156338182507
Found prime factor of 37 digits: 1923984921638178795996921156338182507
Composite cofactor 23518166563935355245423367330897109392144072048472225131074039329088249364317522150486331714177156780720210501121568492241227961350129943 has 137 digits

23518166563935355245423367330897109392144072048472225131074039329088249364317522150486331714177156780720210501121568492241227961350129943<137>

7089655883531522087352308281688915264167<40>
3317250787667343146066675224442670170339379192514828870203942267120234236641779228280200262157329<97>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:6213162
Step 1 took 21578ms
Step 2 took 10578ms
********** Factor found in step 2: 7089655883531522087352308281688915264167
Found prime factor of 40 digits: 7089655883531522087352308281688915264167
Prime cofactor 3317250787667343146066675224442670170339379192514828870203942267120234236641779228280200262157329 has 97 digits
 

GMP-ECM

1051889719881767595485289322267453480177138228828089663079722721869839166061830077734650299262625306362879732188877318101970189445338550706343946900606940368371779902595011938948320658062208758033807735597<205>

1524099056074027093018622861073176501337512974249834303448074943561<67>
690171492259408765245636581288313384157178509762011417083391220258178261544589097305749920108314082167129936304806887973627785459663937477<138>

Number: n
N=1051889719881767595485289322267453480177138228828089663079722721869839166061830077734650299262625306362879732188877318101970189445338550706343946900606940368371779902595011938948320658062208758033807735597  ( 205 digits)
SNFS difficulty: 210 digits.
Divisors found:

Thu Dec 19 05:09:51 2024  prp67 factor: 1524099056074027093018622861073176501337512974249834303448074943561
Thu Dec 19 05:09:51 2024  prp138 factor: 690171492259408765245636581288313384157178509762011417083391220258178261544589097305749920108314082167129936304806887973627785459663937477
Thu Dec 19 05:09:51 2024  elapsed time 02:14:22 (Msieve 1.44 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.111).
Factorization parameters were as follows:
#
# N = 8x10^209-9x10^104-8 = 8(104)78(104)
#
n: 1051889719881767595485289322267453480177138228828089663079722721869839166061830077734650299262625306362879732188877318101970189445338550706343946900606940368371779902595011938948320658062208758033807735597
m: 50000000000000000000000000000000000
deg: 6
c6: 64
c3: -9
c0: -10
skew: 0.73
# Murphy_E = 6.975e-12
type: snfs
lss: 1
rlim: 22000000
alim: 22000000
lpbr: 27
lpba: 27
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
q0: 50000
qintsize: 50000
Factor base limits: 22000000/22000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 57/57
Sieved  special-q in [50000, 48850000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8851069 hash collisions in 28934683 relations (17867617 unique)
Msieve: matrix is 2063201 x 2063426 (579.3 MB)

Sieving start time: 2024/12/18 00:15:04
Sieving end time  : 2024/12/19 02:47:50

Total sieving time: 26hrs 32min 46secs.

Total relation processing time: 2hrs 5min 16sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 3sec.

Prototype def-par.txt line would be:
snfs,210,6,0,0,0,0,0,0,0,0,22000000,22000000,27,27,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111110986111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<211>

79423475857894335032392108684150292853576073<44>
13989706432631173765572608123739324084960986893368546949349773597891903263349899425798295833735202665480752234768682491569921433806964043207091625706210805532362368207<167>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111110986111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 (211 digits)
Using B1=51020000, B2=288592384096, polynomial Dickson(12), sigma=1:3371607098
Step 1 took 158242ms
Step 2 took 50486ms
********** Factor found in step 2: 79423475857894335032392108684150292853576073
Found prime factor of 44 digits: 79423475857894335032392108684150292853576073
Prime cofactor 13989706432631173765572608123739324084960986893368546949349773597891903263349899425798295833735202665480752234768682491569921433806964043207091625706210805532362368207 has 167 digits

9425238933089750553317245911099813597713403359118626142263431367506251200248292460310989520778400247534932057530545885798260193347358989019877843033989450211361539318941782404204323<181>

1868401032024125820137360905607812748683599343005136533871198211157886164769567391549443893655152646730118757157841959953688357853813763612662984685926700743462948859134701161<175>

8106647301288829067929968973365790705821012612584431523969716280594094313992369614317961152859475146423099326436977936574581893603381872544824151031112108275290061<163>

188015149398296663792520395268551296501359922849851759157797380359<66>
43116989919336105359694527271952186642893664120895895420571149359010999447818991616391427173226379<98>

Number: 88788_110
N = 8106647301288829067929968973365790705821012612584431523969716280594094313992369614317961152859475146423099326436977936574581893603381872544824151031112108275290061 (163 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=188015149398296663792520395268551296501359922849851759157797380359 (pp66)
r2=43116989919336105359694527271952186642893664120895895420571149359010999447818991616391427173226379 (pp98)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 20.38 hours.
Factorization parameters were as follows:
n: 8106647301288829067929968973365790705821012612584431523969716280594094313992369614317961152859475146423099326436977936574581893603381872544824151031112108275290061
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 80
c2: -9
c0: -8
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30094601
Relations: 6690838 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 7.47 hours.
Total relation processing time: 0.24 hours.
Pruned matrix : 5890292 x 5890517
Matrix solve time: 12.56 hours.
time per square root: 0.11 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 20.38 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

201235409277001548026748167413225900462586784940663515835617810788855176801381374886800727570746026131137211694127504572153857025167064907427439199719400801557890331589682171855327236780725108653171<198>

255739627830739501399106395693294773856681<42>
786876132510009729710466457923076292548582154738222668925166586310928202877479050852386110238290765232323512947799781190679126664213498273314599369081839291<156>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:307150745
Step 1 took 35488ms
********** Factor found in step 1: 255739627830739501399106395693294773856681
Found prime factor of 42 digits: 255739627830739501399106395693294773856681
Prime cofactor 786876132510009729710466457923076292548582154738222668925166586310928202877479050852386110238290765232323512947799781190679126664213498273314599369081839291 has 156 digits

645439724975340082185650228666586585571596409375659564081394234080557334932602781528221025466300121424595721841906301082440855898723729302291009791315753363457991692375937<171>

546534131084770509868660730030567759248235785857432755225105571001897114284035292151599947103831962258082788674631218331734641252337110282696248821377316220601627060271212745113717362068996141843301676737<204>

57039436527035236209807889270758313287147795599071101166575083830102128029860178373973088822021248438563934400987150180372111047965000314822883158635176341349904384806029370241<176>

30908740013219034300337445322094325327006689676382421844458737548630085577911761076181696944833034280859115036250100573927776458234340871417508042253106664858040830863493743038710578596002701701<194>

559250043342941722791809937332767125209<39>

55268194220353890180777204467709059292032100026290172615640199468943841979469939473423634572529735087101046084113832134652852698763817972948925636964430989<155>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2632128605
Step 1 took 35313ms
Step 2 took 15180ms
********** Factor found in step 2: 559250043342941722791809937332767125209
Found prime factor of 39 digits: 559250043342941722791809937332767125209
Composite cofactor 55268194220353890180777204467709059292032100026290172615640199468943841979469939473423634572529735087101046084113832134652852698763817972948925636964430989 has 155 digits

55268194220353890180777204467709059292032100026290172615640199468943841979469939473423634572529735087101046084113832134652852698763817972948925636964430989<155>

2378387583562352850849261765393692163811634414779<49>
23237673540816714824731939370988344900446609698615044266980790537136950253561923050572105239607244676315991<107>

Number: 88788_119
N = 55268194220353890180777204467709059292032100026290172615640199468943841979469939473423634572529735087101046084113832134652852698763817972948925636964430989 (155 digits)
SNFS difficulty: 241 digits.
Divisors found:
r1=2378387583562352850849261765393692163811634414779 (pp49)
r2=23237673540816714824731939370988344900446609698615044266980790537136950253561923050572105239607244676315991 (pp107)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 193.79 hours.
Factorization parameters were as follows:
# Murphy_E = 1.561e-11, selected by Dmitry Domanov
n: 55268194220353890180777204467709059292032100026290172615640199468943841979469939473423634572529735087101046084113832134652852698763817972948925636964430989 
m: 1000000000000000000000000000000000000000000000000000000000000
deg: 4
c4: 8
c2: -9
c0: -80
skew: 1.00
type: snfs
lss: 1
rlim: 500000000
alim: 150000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 8
Number of threads per core: 1
Factor base limits: 500000000/150000000
Large primes per side: 3
Large prime bits: 29/29
Total raw relations: 62655247
Relations: 14387810 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 52.47 hours.
Total relation processing time: 0.75 hours.
Pruned matrix : 11434361 x 11434586
Matrix solve time: 140.10 hours.
time per square root: 0.47 hours.
Prototype def-par.txt line would be: snfs,241,4,0,0,0,0,0,0,0,0,500000000,150000000,29,29,58,58,2.8,2.8,100000
total time: 193.79 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22631-SP0
processors: 16, speed: 3.79GHz

GGNFS, NFS_factory, Msieve

16397428196436390143469179152308174847277159921347658677534272823296072117946371270893448084799236724816633916926225847300081629465985780218974742829001929529888793171343527452497475147405526150649<197>

144377149821781062825718188719527706421898078484368644766013071453800613617035703252051553459222440487266008296179570258208220318329410151384653603246010669133529299037575133561965811493809745240758491189425579613509848663452863074606781<237>

46482449206878175317241704076702002550918633344303565550912380254677691740969044301641280539694507730984853337310952429066647243034634220701686828794412899467505869484299<170>

816459422297025782383744745552956705057538374070983529482087767677902113273833417<81>
56931732230004178957423870429794874313998636724061522362155202504486815503097040118916147<89>

Sun Aug  3 23:42:17 2025  
Sun Aug  3 23:42:17 2025  
Sun Aug  3 23:42:17 2025  Msieve v. 1.54 (SVN Unversioned directory)
Sun Aug  3 23:42:17 2025  random seeds: 19b4f4d6 96cc6f64
Sun Aug  3 23:42:17 2025  MPI process 0 of 1
Sun Aug  3 23:42:17 2025  Using 46 OpenMP threads
Sun Aug  3 23:42:17 2025  factoring 46482449206878175317241704076702002550918633344303565550912380254677691740969044301641280539694507730984853337310952429066647243034634220701686828794412899467505869484299 (170 digits)
Sun Aug  3 23:42:18 2025  no P-1/P+1/ECM available, skipping
Sun Aug  3 23:42:18 2025  commencing number field sieve (170-digit input)
Sun Aug  3 23:42:18 2025  R0: 91354414087143062543624685553610
Sun Aug  3 23:42:18 2025  R1: 121763502663979464310617353
Sun Aug  3 23:42:18 2025  A0: 8379576723240603462978873638238555262008
Sun Aug  3 23:42:18 2025  A1: -3980009422200194366486747144577365
Sun Aug  3 23:42:18 2025  A2: -1954018239839650057519910604
Sun Aug  3 23:42:18 2025  A3: -330346337766743306749
Sun Aug  3 23:42:18 2025  A4: 46463800714710
Sun Aug  3 23:42:18 2025  A5: 1134000
Sun Aug  3 23:42:18 2025  skew 3919161.15, size 1.737e-16, alpha -8.110, combined = 4.102e-13 rroots = 3
Sun Aug  3 23:42:18 2025  
Sun Aug  3 23:42:18 2025  commencing relation filtering
Sun Aug  3 23:42:18 2025  setting target matrix density to 110.0
Sun Aug  3 23:42:18 2025  estimated available RAM is 385607.8 MB
Sun Aug  3 23:42:18 2025  commencing duplicate removal, pass 1
Sun Aug  3 23:45:03 2025  skipped 1 relations with composite factors
Sun Aug  3 23:45:03 2025  skipped 162 malformed relations
Sun Aug  3 23:45:03 2025  found 13509773 hash collisions in 250234381 relations
Sun Aug  3 23:45:27 2025  added 121842 free relations
Sun Aug  3 23:45:27 2025  commencing duplicate removal, pass 2
Sun Aug  3 23:46:26 2025  found 0 duplicates and 250356223 unique relations
Sun Aug  3 23:46:26 2025  memory use: 852.8 MB
Sun Aug  3 23:46:26 2025  reading ideals above 720000
Sun Aug  3 23:46:26 2025  commencing singleton removal, initial pass
Sun Aug  3 23:54:07 2025  memory use: 5512.0 MB
Sun Aug  3 23:54:07 2025  reading all ideals from disk
Sun Aug  3 23:54:13 2025  memory use: 11789.1 MB
Sun Aug  3 23:54:30 2025  keeping 186815874 ideals with weight <= 200, target excess is 1320962
Sun Aug  3 23:54:53 2025  commencing in-memory singleton removal
Sun Aug  3 23:54:55 2025  begin with 250356223 relations and 186815874 unique ideals
Sun Aug  3 23:55:03 2025  reduce to 202720248 relations and 136345385 ideals in 10 passes
Sun Aug  3 23:55:03 2025  max relations containing the same ideal: 184
Sun Aug  3 23:55:40 2025  removing 8016219 relations and 6016219 ideals in 2000000 cliques
Sun Aug  3 23:55:44 2025  commencing in-memory singleton removal
Sun Aug  3 23:55:46 2025  begin with 194704029 relations and 136345385 unique ideals
Sun Aug  3 23:55:51 2025  reduce to 194424356 relations and 130045705 ideals in 6 passes
Sun Aug  3 23:55:51 2025  max relations containing the same ideal: 181
Sun Aug  3 23:56:26 2025  removing 6319732 relations and 4319732 ideals in 2000000 cliques
Sun Aug  3 23:56:31 2025  commencing in-memory singleton removal
Sun Aug  3 23:56:32 2025  begin with 188104624 relations and 130045705 unique ideals
Sun Aug  3 23:56:37 2025  reduce to 187917981 relations and 125537219 ideals in 6 passes
Sun Aug  3 23:56:37 2025  max relations containing the same ideal: 176
Sun Aug  3 23:57:11 2025  removing 5860475 relations and 3860475 ideals in 2000000 cliques
Sun Aug  3 23:57:15 2025  commencing in-memory singleton removal
Sun Aug  3 23:57:17 2025  begin with 182057506 relations and 125537219 unique ideals
Sun Aug  3 23:57:21 2025  reduce to 181899952 relations and 121517445 ideals in 5 passes
Sun Aug  3 23:57:21 2025  max relations containing the same ideal: 174
Sun Aug  3 23:57:54 2025  removing 5616974 relations and 3616974 ideals in 2000000 cliques
Sun Aug  3 23:57:58 2025  commencing in-memory singleton removal
Sun Aug  3 23:58:00 2025  begin with 176282978 relations and 121517445 unique ideals
Sun Aug  3 23:58:03 2025  reduce to 176142075 relations and 117757999 ideals in 5 passes
Sun Aug  3 23:58:03 2025  max relations containing the same ideal: 173
Sun Aug  3 23:58:36 2025  removing 5458209 relations and 3458209 ideals in 2000000 cliques
Sun Aug  3 23:58:40 2025  commencing in-memory singleton removal
Sun Aug  3 23:58:41 2025  begin with 170683866 relations and 117757999 unique ideals
Sun Aug  3 23:58:45 2025  reduce to 170552578 relations and 114167067 ideals in 5 passes
Sun Aug  3 23:58:45 2025  max relations containing the same ideal: 166
Sun Aug  3 23:59:15 2025  removing 5340217 relations and 3340217 ideals in 2000000 cliques
Sun Aug  3 23:59:19 2025  commencing in-memory singleton removal
Sun Aug  3 23:59:20 2025  begin with 165212361 relations and 114167067 unique ideals
Sun Aug  3 23:59:24 2025  reduce to 165087238 relations and 110700232 ideals in 5 passes
Sun Aug  3 23:59:24 2025  max relations containing the same ideal: 162
Sun Aug  3 23:59:53 2025  removing 5253692 relations and 3253692 ideals in 2000000 cliques
Sun Aug  3 23:59:57 2025  commencing in-memory singleton removal
Sun Aug  3 23:59:58 2025  begin with 159833546 relations and 110700232 unique ideals
Mon Aug  4 00:00:02 2025  reduce to 159713047 relations and 107324479 ideals in 6 passes
Mon Aug  4 00:00:02 2025  max relations containing the same ideal: 160
Mon Aug  4 00:00:30 2025  removing 5185948 relations and 3185948 ideals in 2000000 cliques
Mon Aug  4 00:00:34 2025  commencing in-memory singleton removal
Mon Aug  4 00:00:35 2025  begin with 154527099 relations and 107324479 unique ideals
Mon Aug  4 00:00:38 2025  reduce to 154409101 relations and 104019059 ideals in 5 passes
Mon Aug  4 00:00:38 2025  max relations containing the same ideal: 159
Mon Aug  4 00:01:07 2025  removing 5126789 relations and 3126789 ideals in 2000000 cliques
Mon Aug  4 00:01:10 2025  commencing in-memory singleton removal
Mon Aug  4 00:01:12 2025  begin with 149282312 relations and 104019059 unique ideals
Mon Aug  4 00:01:15 2025  reduce to 149165416 relations and 100773788 ideals in 6 passes
Mon Aug  4 00:01:15 2025  max relations containing the same ideal: 153
Mon Aug  4 00:01:42 2025  removing 5082083 relations and 3082083 ideals in 2000000 cliques
Mon Aug  4 00:01:46 2025  commencing in-memory singleton removal
Mon Aug  4 00:01:47 2025  begin with 144083333 relations and 100773788 unique ideals
Mon Aug  4 00:01:50 2025  reduce to 143967756 relations and 97574541 ideals in 6 passes
Mon Aug  4 00:01:50 2025  max relations containing the same ideal: 152
Mon Aug  4 00:02:17 2025  removing 5039197 relations and 3039197 ideals in 2000000 cliques
Mon Aug  4 00:02:20 2025  commencing in-memory singleton removal
Mon Aug  4 00:02:21 2025  begin with 138928559 relations and 97574541 unique ideals
Mon Aug  4 00:02:24 2025  reduce to 138812302 relations and 94417401 ideals in 5 passes
Mon Aug  4 00:02:24 2025  max relations containing the same ideal: 147
Mon Aug  4 00:02:49 2025  removing 5008855 relations and 3008855 ideals in 2000000 cliques
Mon Aug  4 00:02:53 2025  commencing in-memory singleton removal
Mon Aug  4 00:02:54 2025  begin with 133803447 relations and 94417401 unique ideals
Mon Aug  4 00:02:56 2025  reduce to 133686612 relations and 91290018 ideals in 5 passes
Mon Aug  4 00:02:56 2025  max relations containing the same ideal: 144
Mon Aug  4 00:03:21 2025  removing 4981925 relations and 2981925 ideals in 2000000 cliques
Mon Aug  4 00:03:24 2025  commencing in-memory singleton removal
Mon Aug  4 00:03:26 2025  begin with 128704687 relations and 91290018 unique ideals
Mon Aug  4 00:03:28 2025  reduce to 128585690 relations and 88187349 ideals in 5 passes
Mon Aug  4 00:03:28 2025  max relations containing the same ideal: 142
Mon Aug  4 00:03:52 2025  removing 4958183 relations and 2958183 ideals in 2000000 cliques
Mon Aug  4 00:03:56 2025  commencing in-memory singleton removal
Mon Aug  4 00:03:57 2025  begin with 123627507 relations and 88187349 unique ideals
Mon Aug  4 00:03:59 2025  reduce to 123506541 relations and 85106250 ideals in 5 passes
Mon Aug  4 00:03:59 2025  max relations containing the same ideal: 139
Mon Aug  4 00:04:23 2025  removing 4939321 relations and 2939321 ideals in 2000000 cliques
Mon Aug  4 00:04:26 2025  commencing in-memory singleton removal
Mon Aug  4 00:04:27 2025  begin with 118567220 relations and 85106250 unique ideals
Mon Aug  4 00:04:29 2025  reduce to 118443637 relations and 82041361 ideals in 5 passes
Mon Aug  4 00:04:29 2025  max relations containing the same ideal: 133
Mon Aug  4 00:04:52 2025  removing 4926229 relations and 2926229 ideals in 2000000 cliques
Mon Aug  4 00:04:55 2025  commencing in-memory singleton removal
Mon Aug  4 00:04:56 2025  begin with 113517408 relations and 82041361 unique ideals
Mon Aug  4 00:04:58 2025  reduce to 113390328 relations and 78985926 ideals in 5 passes
Mon Aug  4 00:04:58 2025  max relations containing the same ideal: 126
Mon Aug  4 00:05:20 2025  removing 4914625 relations and 2914625 ideals in 2000000 cliques
Mon Aug  4 00:05:23 2025  commencing in-memory singleton removal
Mon Aug  4 00:05:24 2025  begin with 108475703 relations and 78985926 unique ideals
Mon Aug  4 00:05:26 2025  reduce to 108344215 relations and 75937567 ideals in 5 passes
Mon Aug  4 00:05:26 2025  max relations containing the same ideal: 122
Mon Aug  4 00:05:47 2025  removing 4907830 relations and 2907830 ideals in 2000000 cliques
Mon Aug  4 00:05:50 2025  commencing in-memory singleton removal
Mon Aug  4 00:05:51 2025  begin with 103436385 relations and 75937567 unique ideals
Mon Aug  4 00:05:53 2025  reduce to 103299535 relations and 72890486 ideals in 6 passes
Mon Aug  4 00:05:53 2025  max relations containing the same ideal: 120
Mon Aug  4 00:06:13 2025  removing 4904315 relations and 2904315 ideals in 2000000 cliques
Mon Aug  4 00:06:16 2025  commencing in-memory singleton removal
Mon Aug  4 00:06:17 2025  begin with 98395220 relations and 72890486 unique ideals
Mon Aug  4 00:06:19 2025  reduce to 98253825 relations and 69842148 ideals in 5 passes
Mon Aug  4 00:06:19 2025  max relations containing the same ideal: 116
Mon Aug  4 00:06:38 2025  removing 4906730 relations and 2906730 ideals in 2000000 cliques
Mon Aug  4 00:06:41 2025  commencing in-memory singleton removal
Mon Aug  4 00:06:42 2025  begin with 93347095 relations and 69842148 unique ideals
Mon Aug  4 00:06:43 2025  reduce to 93196692 relations and 66782195 ideals in 5 passes
Mon Aug  4 00:06:43 2025  max relations containing the same ideal: 111
Mon Aug  4 00:07:02 2025  removing 4911769 relations and 2911769 ideals in 2000000 cliques
Mon Aug  4 00:07:04 2025  commencing in-memory singleton removal
Mon Aug  4 00:07:05 2025  begin with 88284923 relations and 66782195 unique ideals
Mon Aug  4 00:07:07 2025  reduce to 88126335 relations and 63708702 ideals in 5 passes
Mon Aug  4 00:07:07 2025  max relations containing the same ideal: 109
Mon Aug  4 00:07:24 2025  removing 4924109 relations and 2924109 ideals in 2000000 cliques
Mon Aug  4 00:07:26 2025  commencing in-memory singleton removal
Mon Aug  4 00:07:27 2025  begin with 83202226 relations and 63708702 unique ideals
Mon Aug  4 00:07:29 2025  reduce to 83031729 relations and 60610506 ideals in 5 passes
Mon Aug  4 00:07:29 2025  max relations containing the same ideal: 106
Mon Aug  4 00:07:45 2025  removing 4940274 relations and 2940274 ideals in 2000000 cliques
Mon Aug  4 00:07:48 2025  commencing in-memory singleton removal
Mon Aug  4 00:07:48 2025  begin with 78091455 relations and 60610506 unique ideals
Mon Aug  4 00:07:50 2025  reduce to 77910031 relations and 57484818 ideals in 6 passes
Mon Aug  4 00:07:50 2025  max relations containing the same ideal: 101
Mon Aug  4 00:08:06 2025  removing 4963936 relations and 2963936 ideals in 2000000 cliques
Mon Aug  4 00:08:08 2025  commencing in-memory singleton removal
Mon Aug  4 00:08:09 2025  begin with 72946095 relations and 57484818 unique ideals
Mon Aug  4 00:08:10 2025  reduce to 72748516 relations and 54318704 ideals in 5 passes
Mon Aug  4 00:08:10 2025  max relations containing the same ideal: 94
Mon Aug  4 00:08:25 2025  removing 4993720 relations and 2993720 ideals in 2000000 cliques
Mon Aug  4 00:08:27 2025  commencing in-memory singleton removal
Mon Aug  4 00:08:28 2025  begin with 67754796 relations and 54318704 unique ideals
Mon Aug  4 00:08:29 2025  reduce to 67537105 relations and 51102066 ideals in 6 passes
Mon Aug  4 00:08:29 2025  max relations containing the same ideal: 91
Mon Aug  4 00:08:43 2025  removing 5036980 relations and 3036980 ideals in 2000000 cliques
Mon Aug  4 00:08:45 2025  commencing in-memory singleton removal
Mon Aug  4 00:08:45 2025  begin with 62500125 relations and 51102066 unique ideals
Mon Aug  4 00:08:47 2025  reduce to 62258049 relations and 47816711 ideals in 6 passes
Mon Aug  4 00:08:47 2025  max relations containing the same ideal: 90
Mon Aug  4 00:09:00 2025  removing 5090145 relations and 3090145 ideals in 2000000 cliques
Mon Aug  4 00:09:02 2025  commencing in-memory singleton removal
Mon Aug  4 00:09:02 2025  begin with 57167904 relations and 47816711 unique ideals
Mon Aug  4 00:09:04 2025  reduce to 56896250 relations and 44447281 ideals in 6 passes
Mon Aug  4 00:09:04 2025  max relations containing the same ideal: 80
Mon Aug  4 00:09:16 2025  removing 5160489 relations and 3160489 ideals in 2000000 cliques
Mon Aug  4 00:09:18 2025  commencing in-memory singleton removal
Mon Aug  4 00:09:19 2025  begin with 51735761 relations and 44447281 unique ideals
Mon Aug  4 00:09:20 2025  reduce to 51424326 relations and 40965844 ideals in 6 passes
Mon Aug  4 00:09:20 2025  max relations containing the same ideal: 76
Mon Aug  4 00:09:31 2025  removing 5251897 relations and 3251897 ideals in 2000000 cliques
Mon Aug  4 00:09:33 2025  commencing in-memory singleton removal
Mon Aug  4 00:09:34 2025  begin with 46172429 relations and 40965844 unique ideals
Mon Aug  4 00:09:35 2025  reduce to 45807184 relations and 37336653 ideals in 7 passes
Mon Aug  4 00:09:35 2025  max relations containing the same ideal: 74
Mon Aug  4 00:09:45 2025  removing 5371942 relations and 3371942 ideals in 2000000 cliques
Mon Aug  4 00:09:47 2025  commencing in-memory singleton removal
Mon Aug  4 00:09:47 2025  begin with 40435242 relations and 37336653 unique ideals
Mon Aug  4 00:09:48 2025  reduce to 39995606 relations and 33509025 ideals in 6 passes
Mon Aug  4 00:09:48 2025  max relations containing the same ideal: 63
Mon Aug  4 00:09:58 2025  removing 5527171 relations and 3527171 ideals in 2000000 cliques
Mon Aug  4 00:10:00 2025  commencing in-memory singleton removal
Mon Aug  4 00:10:00 2025  begin with 34468435 relations and 33509025 unique ideals
Mon Aug  4 00:10:01 2025  reduce to 33916596 relations and 29406702 ideals in 8 passes
Mon Aug  4 00:10:01 2025  max relations containing the same ideal: 59
Mon Aug  4 00:10:10 2025  removing 5741653 relations and 3741653 ideals in 2000000 cliques
Mon Aug  4 00:10:12 2025  commencing in-memory singleton removal
Mon Aug  4 00:10:12 2025  begin with 28174943 relations and 29406702 unique ideals
Mon Aug  4 00:10:13 2025  reduce to 27444144 relations and 24898151 ideals in 8 passes
Mon Aug  4 00:10:13 2025  max relations containing the same ideal: 50
Mon Aug  4 00:10:20 2025  removing 3448515 relations and 2434838 ideals in 1013677 cliques
Mon Aug  4 00:10:22 2025  commencing in-memory singleton removal
Mon Aug  4 00:10:22 2025  begin with 23995629 relations and 24898151 unique ideals
Mon Aug  4 00:10:22 2025  reduce to 23608884 relations and 22063674 ideals in 7 passes
Mon Aug  4 00:10:22 2025  max relations containing the same ideal: 46
Mon Aug  4 00:10:29 2025  removing 88578 relations and 75684 ideals in 12894 cliques
Mon Aug  4 00:10:30 2025  commencing in-memory singleton removal
Mon Aug  4 00:10:30 2025  begin with 23520306 relations and 22063674 unique ideals
Mon Aug  4 00:10:30 2025  reduce to 23520061 relations and 21987744 ideals in 5 passes
Mon Aug  4 00:10:30 2025  max relations containing the same ideal: 46
Mon Aug  4 00:10:32 2025  relations with 0 large ideals: 5657
Mon Aug  4 00:10:32 2025  relations with 1 large ideals: 64089
Mon Aug  4 00:10:32 2025  relations with 2 large ideals: 601392
Mon Aug  4 00:10:32 2025  relations with 3 large ideals: 2476629
Mon Aug  4 00:10:32 2025  relations with 4 large ideals: 5357707
Mon Aug  4 00:10:32 2025  relations with 5 large ideals: 6696977
Mon Aug  4 00:10:32 2025  relations with 6 large ideals: 5111787
Mon Aug  4 00:10:32 2025  relations with 7+ large ideals: 3205823
Mon Aug  4 00:10:32 2025  commencing 2-way merge
Mon Aug  4 00:10:41 2025  reduce to 14977756 relation sets and 13445439 unique ideals
Mon Aug  4 00:10:41 2025  commencing full merge
Mon Aug  4 00:13:28 2025  memory use: 1634.9 MB
Mon Aug  4 00:13:29 2025  found 6942449 cycles, need 6755639
Mon Aug  4 00:13:31 2025  weight of 6755639 cycles is about 743144382 (110.00/cycle)
Mon Aug  4 00:13:31 2025  distribution of cycle lengths:
Mon Aug  4 00:13:31 2025  1 relations: 411871
Mon Aug  4 00:13:31 2025  2 relations: 457060
Mon Aug  4 00:13:31 2025  3 relations: 507492
Mon Aug  4 00:13:31 2025  4 relations: 526945
Mon Aug  4 00:13:31 2025  5 relations: 554485
Mon Aug  4 00:13:31 2025  6 relations: 555854
Mon Aug  4 00:13:31 2025  7 relations: 544074
Mon Aug  4 00:13:31 2025  8 relations: 511974
Mon Aug  4 00:13:31 2025  9 relations: 471569
Mon Aug  4 00:13:31 2025  10+ relations: 2214315
Mon Aug  4 00:13:31 2025  heaviest cycle: 23 relations
Mon Aug  4 00:13:34 2025  commencing cycle optimization
Mon Aug  4 00:13:43 2025  start with 52372884 relations
Mon Aug  4 00:14:51 2025  pruned 2353933 relations
Mon Aug  4 00:14:52 2025  memory use: 1485.8 MB
Mon Aug  4 00:14:52 2025  distribution of cycle lengths:
Mon Aug  4 00:14:52 2025  1 relations: 411871
Mon Aug  4 00:14:52 2025  2 relations: 469739
Mon Aug  4 00:14:52 2025  3 relations: 530321
Mon Aug  4 00:14:52 2025  4 relations: 551222
Mon Aug  4 00:14:52 2025  5 relations: 585614
Mon Aug  4 00:14:52 2025  6 relations: 586937
Mon Aug  4 00:14:52 2025  7 relations: 577049
Mon Aug  4 00:14:52 2025  8 relations: 538784
Mon Aug  4 00:14:52 2025  9 relations: 493263
Mon Aug  4 00:14:52 2025  10+ relations: 2010839
Mon Aug  4 00:14:52 2025  heaviest cycle: 23 relations
Mon Aug  4 00:15:05 2025  RelProcTime: 1967
Mon Aug  4 00:15:05 2025  elapsed time 00:32:48
Mon Aug  4 00:15:05 2025  
Mon Aug  4 00:15:05 2025  
Mon Aug  4 00:15:05 2025  Msieve v. 1.54 (SVN Unversioned directory)
Mon Aug  4 00:15:05 2025  random seeds: a64f70eb ed04b7b1
Mon Aug  4 00:15:05 2025  MPI process 0 of 1
Mon Aug  4 00:15:05 2025  Using 46 OpenMP threads
Mon Aug  4 00:15:05 2025  factoring 46482449206878175317241704076702002550918633344303565550912380254677691740969044301641280539694507730984853337310952429066647243034634220701686828794412899467505869484299 (170 digits)
Mon Aug  4 00:15:06 2025  no P-1/P+1/ECM available, skipping
Mon Aug  4 00:15:06 2025  commencing number field sieve (170-digit input)
Mon Aug  4 00:15:06 2025  R0: 91354414087143062543624685553610
Mon Aug  4 00:15:06 2025  R1: 121763502663979464310617353
Mon Aug  4 00:15:06 2025  A0: 8379576723240603462978873638238555262008
Mon Aug  4 00:15:06 2025  A1: -3980009422200194366486747144577365
Mon Aug  4 00:15:06 2025  A2: -1954018239839650057519910604
Mon Aug  4 00:15:06 2025  A3: -330346337766743306749
Mon Aug  4 00:15:06 2025  A4: 46463800714710
Mon Aug  4 00:15:06 2025  A5: 1134000
Mon Aug  4 00:15:06 2025  skew 3919161.15, size 1.737e-16, alpha -8.110, combined = 4.102e-13 rroots = 3
Mon Aug  4 00:15:06 2025  
Mon Aug  4 00:15:06 2025  commencing linear algebra
Mon Aug  4 00:15:06 2025  using VBITS=128
Mon Aug  4 00:15:06 2025  stopping after matrix build
Mon Aug  4 00:15:06 2025  initialized process (0,0) of 1 x 1 grid
Mon Aug  4 00:15:06 2025  read 6755639 cycles
Mon Aug  4 00:15:17 2025  cycles contain 22720011 unique relations
Mon Aug  4 00:15:33 2025  read 22720011 relations
Mon Aug  4 00:15:34 2025  using 20 quadratic characters above 4294917295
Mon Aug  4 00:15:37 2025  building initial matrix
Mon Aug  4 00:19:14 2025  memory use: 3133.4 MB
Mon Aug  4 00:19:20 2025  read 6755639 cycles
Mon Aug  4 00:19:20 2025  matrix is 6755456 x 6755639 (2949.3 MB) with weight 901082227 (133.38/col)
Mon Aug  4 00:19:20 2025  sparse part has weight 692072302 (102.44/col)
Mon Aug  4 00:20:23 2025  filtering completed in 2 passes
Mon Aug  4 00:20:24 2025  matrix is 6754120 x 6754303 (2949.1 MB) with weight 901004859 (133.40/col)
Mon Aug  4 00:20:24 2025  sparse part has weight 692037318 (102.46/col)
Mon Aug  4 00:20:39 2025  BLanczosTime: 333
Mon Aug  4 00:20:39 2025  elapsed time 00:05:34
Mon Aug  4 09:03:36 2025  
Mon Aug  4 09:03:36 2025  
Mon Aug  4 09:03:36 2025  Msieve v. 1.54 (SVN Unversioned directory)
Mon Aug  4 09:03:36 2025  random seeds: 0bf38b2a a5e6f93f
Mon Aug  4 09:03:36 2025  MPI process 0 of 2
Mon Aug  4 09:03:36 2025  Using 6 OpenMP threads
Mon Aug  4 09:03:36 2025  factoring 46482449206878175317241704076702002550918633344303565550912380254677691740969044301641280539694507730984853337310952429066647243034634220701686828794412899467505869484299 (170 digits)
Mon Aug  4 09:03:37 2025  no P-1/P+1/ECM available, skipping
Mon Aug  4 09:03:37 2025  commencing number field sieve (170-digit input)
Mon Aug  4 09:03:37 2025  R0: 91354414087143062543624685553610
Mon Aug  4 09:03:37 2025  R1: 121763502663979464310617353
Mon Aug  4 09:03:37 2025  A0: 8379576723240603462978873638238555262008
Mon Aug  4 09:03:37 2025  A1: -3980009422200194366486747144577365
Mon Aug  4 09:03:37 2025  A2: -1954018239839650057519910604
Mon Aug  4 09:03:37 2025  A3: -330346337766743306749
Mon Aug  4 09:03:37 2025  A4: 46463800714710
Mon Aug  4 09:03:37 2025  A5: 1134000
Mon Aug  4 09:03:37 2025  skew 3919161.15, size 1.737e-16, alpha -8.110, combined = 4.102e-13 rroots = 3
Mon Aug  4 09:03:37 2025  
Mon Aug  4 09:03:37 2025  commencing linear algebra
Mon Aug  4 09:03:37 2025  using VBITS=256
Mon Aug  4 09:03:37 2025  skipping matrix build
Mon Aug  4 09:03:37 2025  initialized process (0,0) of 1 x 2 grid
Mon Aug  4 09:03:40 2025  matrix starts at (0, 0)
Mon Aug  4 09:03:41 2025  matrix is 6754120 x 3377155 (1474.6 MB) with weight 450500561 (133.40/col)
Mon Aug  4 09:03:41 2025  sparse part has weight 346018839 (102.46/col)
Mon Aug  4 09:03:41 2025  saving the first 240 matrix rows for later
Mon Aug  4 09:03:42 2025  matrix includes 256 packed rows
Mon Aug  4 09:03:44 2025  matrix is 6753880 x 3377155 (1334.1 MB) with weight 315642390 (93.46/col)
Mon Aug  4 09:03:44 2025  sparse part has weight 295704750 (87.56/col)
Mon Aug  4 09:03:44 2025  using GPU 0 (NVIDIA A100-SXM4-40GB)
Mon Aug  4 09:03:44 2025  selected card has CUDA arch 8.0
Mon Aug  4 09:04:21 2025  commencing Lanczos iteration
Mon Aug  4 09:04:22 2025  memory use: 3428.4 MB
Mon Aug  4 09:04:32 2025  linear algebra at 0.5%, ETA 0h36m
Mon Aug  4 09:04:46 2025  checking every 190000 dimensions, checkpointing every 11590000 dimensions
Mon Aug  4 09:38:37 2025  lanczos halted after 26463 iterations (dim = 6753878)
Mon Aug  4 09:39:04 2025  recovered 26 nontrivial dependencies
Mon Aug  4 09:39:04 2025  BLanczosTime: 2127
Mon Aug  4 09:39:04 2025  elapsed time 00:35:28
Mon Aug  4 09:47:29 2025  
Mon Aug  4 09:47:29 2025  
Mon Aug  4 09:47:29 2025  Msieve v. 1.54 (SVN Unversioned directory)
Mon Aug  4 09:47:29 2025  random seeds: 8665e73f 759915c9
Mon Aug  4 09:47:29 2025  MPI process 0 of 1
Mon Aug  4 09:47:29 2025  Using 32 OpenMP threads
Mon Aug  4 09:47:29 2025  factoring 46482449206878175317241704076702002550918633344303565550912380254677691740969044301641280539694507730984853337310952429066647243034634220701686828794412899467505869484299 (170 digits)
Mon Aug  4 09:47:30 2025  no P-1/P+1/ECM available, skipping
Mon Aug  4 09:47:30 2025  commencing number field sieve (170-digit input)
Mon Aug  4 09:47:30 2025  R0: 91354414087143062543624685553610
Mon Aug  4 09:47:30 2025  R1: 121763502663979464310617353
Mon Aug  4 09:47:30 2025  A0: 8379576723240603462978873638238555262008
Mon Aug  4 09:47:30 2025  A1: -3980009422200194366486747144577365
Mon Aug  4 09:47:30 2025  A2: -1954018239839650057519910604
Mon Aug  4 09:47:30 2025  A3: -330346337766743306749
Mon Aug  4 09:47:30 2025  A4: 46463800714710
Mon Aug  4 09:47:30 2025  A5: 1134000
Mon Aug  4 09:47:30 2025  skew 3919161.15, size 1.737e-16, alpha -8.110, combined = 4.102e-13 rroots = 3
Mon Aug  4 09:47:30 2025  
Mon Aug  4 09:47:30 2025  commencing square root phase
Mon Aug  4 09:47:30 2025  reading relations for dependency 1
Mon Aug  4 09:47:31 2025  read 3376759 cycles
Mon Aug  4 09:47:35 2025  cycles contain 11355976 unique relations
Mon Aug  4 09:47:48 2025  read 11355976 relations
Mon Aug  4 09:48:24 2025  multiplying 11355976 relations
Mon Aug  4 09:49:18 2025  multiply complete, coefficients have about 671.34 million bits
Mon Aug  4 09:49:19 2025  initial square root is modulo 1054259
Mon Aug  4 09:52:10 2025  sqrtTime: 280
Mon Aug  4 09:52:10 2025  p81 factor: 816459422297025782383744745552956705057538374070983529482087767677902113273833417
Mon Aug  4 09:52:10 2025  p89 factor: 56931732230004178957423870429794874313998636724061522362155202504486815503097040118916147
Mon Aug  4 09:52:10 2025  elapsed time 00:04:41

NFS@Home, msieve 1.54

NVIDIA A100-SXM4-40GB

1915423578323404577412186272480302555137637252955223581331327696305234308054618195390728834031504670653537610560128420517133172333932538247098231155510789193875697205645890347591887449358924500426836890809214754013127464579766256058473<235>

84564434218732215971447738724930927284216956596177373067991112229651309976480210606265755509620992846897502617782124500515371559542461581213939180829003227319783553618530286069021126989823811005237607<200>

11046296429178129029301203173151481634723922755821457613224352570959190694478743916264709599226705271053095459701090251099194994579086961391730565471769523596229476077398121878692317154261705687993530941378558404398058941<221>

20343393012308290143668453341727232809224924254665176197375979171933552128466367727001501074066119684723974763248302689662960317333768586022492049623140132316055506764321316922703503822074982878443583730823968666321959186473<224>

4213005608897412303662828946633124717963<40>
4828712539414911716383010496978129319111017285946952115497709896369197373131243141841581840990375773474840069697913459929009026343811542948110752523119468858367325602284010661029199771<184>

Resuming ECM residue saved by @c7b498dbd162 with GMP-ECM 7.0.5-dev on Wed Aug 10 13:28:15 2022 
Input number is 20343393012308290143668453341727232809224924254665176197375979171933552128466367727001501074066119684723974763248302689662960317333768586022492049623140132316055506764321316922703503822074982878443583730823968666321959186473 (224 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3876002086
Step 1 took 0ms
Step 2 took 16251ms
********** Factor found in step 2: 4213005608897412303662828946633124717963
Found prime factor of 40 digits: 4213005608897412303662828946633124717963
Prime cofactor 4828712539414911716383010496978129319111017285946952115497709896369197373131243141841581840990375773474840069697913459929009026343811542948110752523119468858367325602284010661029199771 has 184 digits

12001620374860034543618551265350483398067833866577888836039369030072404613977070594693180001666799788502791572581187686558526194032578641014510253283760243047804705017922855041105569155423951797359948697310548640453808963688184491<230>

1193228549265121882876338657663212156293585011762136571301163105467577554749538691497450171554752825206228305449041728251913312150407942848199265169770978207231386418481127865323305550762240622041009027229996349610681327957<223>

1158411535940199269012235804862541913302622113449390456139038824029973465526216755125507932950204578044246881250841852172571029690180578483380736169086321545457304718797604809085230485344497937010525237704553332842145931068233810987007552843400103283<250>

18037892643147391676902295208705401722583043432933135080324902974257234717890514958837403890676046591901979820133585014583478358329667827283156708490305134164695523535127385627145387927023241385179991055559968844367<215>

116794953930626231445943051925516231086975765337530050000242305656086398962181432942366024028450525651714131347121543437521919137575529550301974483079973424853510362453164942628410652631694973200756522628487475531119025314861509017463686364403<243>

17208946609652641588644968589829888834919992882808538675235008977916190887449496943067319256744378440202812842588527317725482763312382855380158411510541320211388335386699390810783968024015112279313845453208856002051855606796009241283634880860229<245>

60837370600061649766715579306041743343<38>
282868020756229113576352516128324839175134412001105449987797980940509974260835171505355154087736822106340764397859268061080381009912373962061874144008196399882486290774921263045245953000491054660336394651403<207>

Resuming ECM residue saved by @4cfc2b5d47c6 with GMP-ECM 7.0.5-dev on Wed Jul 27 21:55:50 2022 
Input number is 17208946609652641588644968589829888834919992882808538675235008977916190887449496943067319256744378440202812842588527317725482763312382855380158411510541320211388335386699390810783968024015112279313845453208856002051855606796009241283634880860229 (245 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:393812925
Step 1 took 0ms
Step 2 took 11267ms
********** Factor found in step 2: 60837370600061649766715579306041743343
Found prime factor of 38 digits: 60837370600061649766715579306041743343
Prime cofactor 282868020756229113576352516128324839175134412001105449987797980940509974260835171505355154087736822106340764397859268061080381009912373962061874144008196399882486290774921263045245953000491054660336394651403 has 207 digits

362126696759322191691488764722616696436554822490106807755850674489726999393605606805546716337146541331407883371193010795863408642659006616872475829621174451857387053581172764462195428740244319362859397706421575782882855543535640340261973646073448559<249>

256227808976673591747386034180184039881728026888657752070168785296288776772501210359138615589473670883866660692926740949917542253559259333201975798549123801624714099745153379120704016494284563793613977736136741875016524063713608275269<234>

64846846682910610459056361859503689316450277028657350157591770771688757868148749452673023728308359612341996371636645751940292412085539611112056494373612594639657349694022540837455976889741282904192345721333355046351209944175651050484314766515918953887591053<257>

35244705085741930268325622849019684002353156385159092089801410323233537262024841988012979608323102984675335924761374302708099116424181925012408035290770052023140398045030950084531095900907532118302348826564020802718383229266532214904429019124931471<248>

77266026581317373826824627578347875492075055431094824207452037924233908517800293393027493923702340945698430900548132360882563754783188363236975158119035669608612433865052182082740523497361211777857729285957958000809565014100011225173<233>

74721676724083886755055789012732187674764267335709017630824130067936243681389723624920949938187627743046725606655299256616692756282398231393006801134347428087614305866938583626845061854713614444114305627127844638678502436549867009991<233>

663969271008822233821622503048848099618146638480142005590716851603816498223224269824126861331997093646166401296098261394715731773473028441504964967520832224582333530964105486684459505537147180945024873323413434944495158057586791256956717771<240>

144650213957833977600537335448508366121033<42>
4590171371625979776946447026706895024709249919838228555698400038348700093769033053802866851922849765094323256879253521230163142122905631648150170148775566263851120300935654096858473545539905950966387<199>

Resuming ECM residue saved by @e0b0d44ba75e with GMP-ECM 7.0.5-dev on Sat Sep 17 21:10:04 2022 
Input number is 663969271008822233821622503048848099618146638480142005590716851603816498223224269824126861331997093646166401296098261394715731773473028441504964967520832224582333530964105486684459505537147180945024873323413434944495158057586791256956717771 (240 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1053858084
Step 1 took 0ms
Step 2 took 21355ms
********** Factor found in step 2: 144650213957833977600537335448508366121033
Found prime factor of 42 digits: 144650213957833977600537335448508366121033
Prime cofactor 4590171371625979776946447026706895024709249919838228555698400038348700093769033053802866851922849765094323256879253521230163142122905631648150170148775566263851120300935654096858473545539905950966387 has 199 digits

109553990187878124601905734780475775948074483696502277446289629186800324244514494550401004403090784120231609876193666252576876249373750237742942370823792018754753381404819327066237651611286791791469754086494880459321218296583032675452993411576139852779980170996254434795267<273>

57687885888936586464785886157284678983244839334322273619627244678290240794289307163548542250777307828237556253707868987956140112056820201114910186148666019666811134185433121376502298296307142691592349228497993533903627036352937<227>

28685686527189582131686762365245726793974254515471410953236195503206583040562890553820337234573135461347060567490228566667590881604205427926739818179467410706696429633562168713897366295815531147760657414486212714374531474441399591111497<236>

18602596292991313497035384735983375393764361<44>

1542025966450562533035766981923304760349369886319219970577340878971740728114911913218847014163644178051868226930805173918518393209853798103222587435219487915889969605761213085002204584571923777<193>

Resuming ECM residue saved by @6371e78b51f6 with GMP-ECM 7.0.5-dev on Sat Sep 17 08:50:02 2022 
Input number is 28685686527189582131686762365245726793974254515471410953236195503206583040562890553820337234573135461347060567490228566667590881604205427926739818179467410706696429633562168713897366295815531147760657414486212714374531474441399591111497 (236 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3797823768
Step 1 took 0ms
Step 2 took 19467ms
********** Factor found in step 2: 18602596292991313497035384735983375393764361
Found prime factor of 44 digits: 18602596292991313497035384735983375393764361
Composite cofactor 1542025966450562533035766981923304760349369886319219970577340878971740728114911913218847014163644178051868226930805173918518393209853798103222587435219487915889969605761213085002204584571923777 has 193 digits