Table of contents 目次

5×10209-6

c184

name 名前Seth Troisi
date 日付December 1, 2023 09:46:46 UTC 2023 年 12 月 1 日 (金) 18 時 46 分 46 秒 (日本時間)
composite number 合成数
3880745704127260414498166679317977703857334337297280866264949464879570637461312482021152782966653329225304478533741039702628129140279208259340719834517930099807736441687492387790861751<184>
prime factors 素因数
129033369231788028652461005184497469081985432669<48>
composite cofactor 合成数の残り
30075520210249760077698391767240562214089407456837796293115116972033863250581758675659804694657827133040064068037910409494722911229606179<137>
factorization results 素因数分解の結果
Resuming P-1 residue saved by five@five with GMP-ECM 7.0.6-dev on Sun Nov 19 19:18:15 2023 
Input number is 3880745704127260414498166679317977703857334337297280866264949464879570637461312482021152782966653329225304478533741039702628129140279208259340719834517930099807736441687492387790861751 (184 digits)
Using mpz_mod
Using lmax = 16777216 with NTT which takes about 4608MB of memory
Using B1=4000000000-4000000000, B2=2114508355760232, polynomial x^1
P = 111546435, l = 16777216, s_1 = 7299072, k = s_2 = 5, m_1 = 13
Probability of finding a factor of n digits (assuming one exists):
20      25      30      35      40      45      50      55      60      65
0.77    0.5     0.25    0.11    0.04    0.013   0.0039  0.0011  0.00026 6.1e-05
Step 1 took 0ms
Computing F from factored S_1 took 76869ms
Computing h took 8378ms
Computing DCT-I of h took 25430ms
Multi-point evaluation 1 of 5:
Computing g_i took 30593ms
Computing g*h took 52166ms
Computing gcd of coefficients and N took 12597ms
Multi-point evaluation 2 of 5:
Computing g_i took 30578ms
Computing g*h took 52164ms
Computing gcd of coefficients and N took 12608ms
Multi-point evaluation 3 of 5:
Computing g_i took 30599ms
Computing g*h took 52117ms
Computing gcd of coefficients and N took 12634ms
Multi-point evaluation 4 of 5:
Computing g_i took 30630ms
Computing g*h took 52117ms
Computing gcd of coefficients and N took 12621ms
Step 2 took 492570ms
********** Factor found in step 2: 129033369231788028652461005184497469081985432669
Found prime factor of 48 digits: 129033369231788028652461005184497469081985432669
Composite cofactor 30075520210249760077698391767240562214089407456837796293115116972033863250581758675659804694657827133040064068037910409494722911229606179 has 137 digits
execution environment 実行環境
1080 TI for stage 1

c137

name 名前Seth Troisi
date 日付December 8, 2023 06:26:12 UTC 2023 年 12 月 8 日 (金) 15 時 26 分 12 秒 (日本時間)
composite number 合成数
30075520210249760077698391767240562214089407456837796293115116972033863250581758675659804694657827133040064068037910409494722911229606179<137>
prime factors 素因数
2247703763846778034099323567475705900241185380632711<52>
13380553386972018601152815859725795305124096329061023274246185257462535247001537305989<86>
factorization results 素因数分解の結果
PID3003164 2023-12-06 21:12:09,665 Info:root: Command line parameters: ./cado-nfs.py -t 12 workdir=/home/five/Documents/math/GNFS/c137.300 30075520210249760077698391767240562214089407456837796293115116972033863250581758675659804694657827133040064068037910409494722911229606179
PID3003164 2023-12-06 21:12:09,666 Debug:root: Root parameter dictionary:
N = 30075520210249760077698391767240562214089407456837796293115116972033863250581758675659804694657827133040064068037910409494722911229606179
name = c135
slaves.basepath = /home/five/Documents/math/GNFS/c137.300/client
slaves.hostnames = localhost
slaves.nrclients = 6
slaves.scriptpath = /home/five/Projects/cado-nfs/build/five
tasks.I = 13
tasks.execpath = /home/five/Projects/cado-nfs/build/five
tasks.lim0 = 8000000
tasks.lim1 = 13000000
tasks.lpb0 = 29
tasks.lpb1 = 30
tasks.qmin = 1500000
tasks.threads = 12
tasks.workdir = /home/five/Documents/math/GNFS/c137.300
tasks.filter.target_density = 120.0
tasks.filter.purge.keep = 170
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.bwc.cpubinding = /home/five/Projects/cado-nfs/parameters/misc/cpubinding.conf
tasks.linalg.bwc.interleaving = 0
tasks.linalg.bwc.interval = 3000
tasks.linalg.characters.nchar = 50
tasks.polyselect.P = 95000
tasks.polyselect.admax = 80e3
tasks.polyselect.admin = 1080
tasks.polyselect.adrange = 840
tasks.polyselect.degree = 5
tasks.polyselect.incr = 420
tasks.polyselect.nq = 78125
tasks.polyselect.nrkeep = 48
tasks.polyselect.ropteffort = 12
tasks.polyselect.sopteffort = 1
tasks.polyselect.threads = 2
tasks.sieve.lambda0 = 1.89
tasks.sieve.lambda1 = 1.93
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 58
tasks.sieve.ncurves0 = 12
tasks.sieve.ncurves1 = 14
tasks.sieve.qrange = 10000
tasks.sieve.rels_wanted = 60000000
tasks.sieve.las.threads = 2
tasks.sqrt.threads = 8
PID3003164 2023-12-06 21:12:09,666 Debug:root: Writing parameter snapshot to /home/five/Documents/math/GNFS/c137.300/c135.parameters_snapshot.0
PID3003164 2023-12-06 21:12:09,666 Info:root: If this computation gets interrupted, it can be resumed with ./cado-nfs.py /home/five/Documents/math/GNFS/c137.300/c135.parameters_snapshot.0
PID3003164 2023-12-06 21:12:09,720 Debug:Client Launcher: Enter Task.__init__(slaves)
PID3003164 2023-12-06 21:12:09,720 Debug:Client Launcher: state = {}
PID3003164 2023-12-06 21:12:09,721 Debug:Client Launcher: self.parameters = MyParameters: name = None, prefix = ['slaves']
PID3003164 2023-12-06 21:12:09,721 Debug:Client Launcher: params = {'hostnames': 'localhost', 'scriptpath': '/home/five/Projects/cado-nfs/build/five', 'nrclients': 6, 'run': True}
PID3003164 2023-12-06 21:12:09,721 Debug:Client Launcher: slaves.cado_nfs_client.basepath found from slaves.basepath
PID3003164 2023-12-06 21:12:09,721 Debug:Client Launcher: Exit Task.__init__(slaves)
PID3003164 2023-12-06 21:12:09,748 Info:Server Launcher: Adding five to whitelist to allow clients on localhost to connect
PID3003164 2023-12-06 21:12:10,045 Debug:Generate Factor Base: Enter Task.__init__(factorbase)
PID3003164 2023-12-06 21:12:10,045 Debug:Generate Factor Base: state = {}
PID3003164 2023-12-06 21:12:10,045 Debug:Generate Factor Base: self.parameters = MyParameters: name = None, prefix = ['tasks', 'sieve']
PID3003164 2023-12-06 21:12:10,045 Debug:Generate Factor Base: params = {'workdir': '/home/five/Documents/math/GNFS/c137.300', 'I': 13, 'lim0': 8000000, 'lim1': 13000000, 'name': 'c135', 'run': True, 'gzip': True}
PID3003164 2023-12-06 21:12:10,045 Debug:Generate Factor Base: tasks.sieve.makefb.threads found from tasks.threads
PID3003164 2023-12-06 21:12:10,045 Debug:Generate Factor Base: tasks.sieve.makefb.execpath found from tasks.execpath
PID3003164 2023-12-06 21:12:10,045 Debug:Generate Factor Base: Exit Task.__init__(factorbase)
PID3003164 2023-12-06 21:12:10,053 Debug:Generate Free Relations: Enter Task.__init__(freerel)
PID3003164 2023-12-06 21:12:10,053 Debug:Generate Free Relations: state = {}
PID3003164 2023-12-06 21:12:10,053 Debug:Generate Free Relations: self.parameters = MyParameters: name = None, prefix = ['tasks', 'sieve']
PID3003164 2023-12-06 21:12:10,053 Debug:Generate Free Relations: params = {'workdir': '/home/five/Documents/math/GNFS/c137.300', 'name': 'c135', 'run': True, 'dlp': False, 'gzip': True}
PID3003164 2023-12-06 21:12:10,053 Debug:Generate Free Relations: tasks.sieve.freerel.lpb0 found from tasks.lpb0
PID3003164 2023-12-06 21:12:10,053 Debug:Generate Free Relations: tasks.sieve.freerel.lpb1 found from tasks.lpb1
PID3003164 2023-12-06 21:12:10,053 Debug:Generate Free Relations: tasks.sieve.freerel.threads found from tasks.threads
PID3003164 2023-12-06 21:12:10,053 Debug:Generate Free Relations: tasks.sieve.freerel.execpath found from tasks.execpath
PID3003164 2023-12-06 21:12:10,053 Debug:Generate Free Relations: Exit Task.__init__(freerel)
PID3003164 2023-12-06 21:12:10,069 Debug:Lattice Sieving: Enter Task.__init__(sieving)
PID3003164 2023-12-06 21:12:10,069 Debug:Lattice Sieving: state = {}
PID3003164 2023-12-06 21:12:10,069 Debug:Lattice Sieving: self.parameters = MyParameters: name = None, prefix = ['tasks', 'sieve']
PID3003164 2023-12-06 21:12:10,069 Debug:Lattice Sieving: params = {'qrange': 10000, 'rels_wanted': 60000000, 'workdir': '/home/five/Documents/math/GNFS/c137.300', 'qmin': 1500000, 'lim0': 8000000, 'lim1': 13000000, 'name': 'c135', 'run': True, 'maxwu': 10, 'wutimeout': 10800, 'maxresubmit': 5, 'maxwuerror': 2, 'maxtimedout': 100, 'maxfailed': 100, 'gzip': True, 'sqside': 1, 'adjust_strategy': 0}
PID3003164 2023-12-06 21:12:10,069 Debug:Lattice Sieving: tasks.sieve.las.threads found from tasks.sieve.las.threads
PID3003164 2023-12-06 21:12:10,069 Debug:Lattice Sieving: tasks.sieve.las.mfb0 found from tasks.sieve.mfb0
PID3003164 2023-12-06 21:12:10,069 Debug:Lattice Sieving: tasks.sieve.las.mfb1 found from tasks.sieve.mfb1
PID3003164 2023-12-06 21:12:10,069 Debug:Lattice Sieving: tasks.sieve.las.lambda0 found from tasks.sieve.lambda0
PID3003164 2023-12-06 21:12:10,069 Debug:Lattice Sieving: tasks.sieve.las.lambda1 found from tasks.sieve.lambda1
PID3003164 2023-12-06 21:12:10,069 Debug:Lattice Sieving: tasks.sieve.las.ncurves0 found from tasks.sieve.ncurves0
PID3003164 2023-12-06 21:12:10,069 Debug:Lattice Sieving: tasks.sieve.las.ncurves1 found from tasks.sieve.ncurves1
PID3003164 2023-12-06 21:12:10,070 Debug:Lattice Sieving: tasks.sieve.las.I found from tasks.I
PID3003164 2023-12-06 21:12:10,070 Debug:Lattice Sieving: tasks.sieve.las.lim0 found from tasks.lim0
PID3003164 2023-12-06 21:12:10,070 Debug:Lattice Sieving: tasks.sieve.las.lim1 found from tasks.lim1
PID3003164 2023-12-06 21:12:10,070 Debug:Lattice Sieving: tasks.sieve.las.lpb0 found from tasks.lpb0
PID3003164 2023-12-06 21:12:10,070 Debug:Lattice Sieving: tasks.sieve.las.lpb1 found from tasks.lpb1
PID3003164 2023-12-06 21:12:10,070 Debug:Lattice Sieving: tasks.sieve.las.execpath found from tasks.execpath
PID3003164 2023-12-06 21:12:10,070 Debug:Lattice Sieving: Exit Task.__init__(sieving)
PID3003164 2023-12-06 21:12:10,102 Info:Lattice Sieving: param rels_wanted is 60000000
PID3003164 2023-12-06 21:12:10,121 Debug:Filtering - Duplicate Removal, splitting pass: Enter Task.__init__(duplicates1)
PID3003164 2023-12-06 21:12:10,121 Debug:Filtering - Duplicate Removal, splitting pass: state = {}
PID3003164 2023-12-06 21:12:10,121 Debug:Filtering - Duplicate Removal, splitting pass: self.parameters = MyParameters: name = None, prefix = ['tasks', 'filter']
PID3003164 2023-12-06 21:12:10,121 Debug:Filtering - Duplicate Removal, splitting pass: params = {'workdir': '/home/five/Documents/math/GNFS/c137.300', 'name': 'c135', 'run': True, 'nslices_log': 1}
PID3003164 2023-12-06 21:12:10,121 Debug:Filtering - Duplicate Removal, splitting pass: tasks.filter.dup1.execpath found from tasks.execpath
PID3003164 2023-12-06 21:12:10,121 Debug:Filtering - Duplicate Removal, splitting pass: Exit Task.__init__(duplicates1)
PID3003164 2023-12-06 21:12:10,155 Debug:Filtering - Duplicate Removal, removal pass: Enter Task.__init__(duplicates2)
PID3003164 2023-12-06 21:12:10,155 Debug:Filtering - Duplicate Removal, removal pass: state = {}
PID3003164 2023-12-06 21:12:10,155 Debug:Filtering - Duplicate Removal, removal pass: self.parameters = MyParameters: name = None, prefix = ['tasks', 'filter']
PID3003164 2023-12-06 21:12:10,155 Debug:Filtering - Duplicate Removal, removal pass: params = {'workdir': '/home/five/Documents/math/GNFS/c137.300', 'name': 'c135', 'run': True, 'dlp': False, 'nslices_log': 1}
PID3003164 2023-12-06 21:12:10,155 Debug:Filtering - Duplicate Removal, removal pass: tasks.filter.dup2.execpath found from tasks.execpath
PID3003164 2023-12-06 21:12:10,155 Debug:Filtering - Duplicate Removal, removal pass: Exit Task.__init__(duplicates2)
PID3003164 2023-12-06 21:12:10,181 Debug:Filtering - Singleton removal: Enter Task.__init__(purge)
PID3003164 2023-12-06 21:12:10,181 Debug:Filtering - Singleton removal: state = {}
PID3003164 2023-12-06 21:12:10,181 Debug:Filtering - Singleton removal: self.parameters = MyParameters: name = None, prefix = ['tasks', 'filter']
PID3003164 2023-12-06 21:12:10,181 Debug:Filtering - Singleton removal: params = {'workdir': '/home/five/Documents/math/GNFS/c137.300', 'name': 'c135', 'run': True, 'dlp': False, 'galois': 'none', 'gzip': True, 'add_ratio': 0.01, 'required_excess': 0.0}
PID3003164 2023-12-06 21:12:10,182 Debug:Filtering - Singleton removal: tasks.filter.purge.keep found from tasks.filter.purge.keep
PID3003164 2023-12-06 21:12:10,182 Debug:Filtering - Singleton removal: tasks.filter.purge.threads found from tasks.threads
PID3003164 2023-12-06 21:12:10,182 Debug:Filtering - Singleton removal: tasks.filter.purge.execpath found from tasks.execpath
PID3003164 2023-12-06 21:12:10,182 Debug:Filtering - Singleton removal: Exit Task.__init__(purge)
PID3003164 2023-12-06 21:12:10,195 Debug:Polynomial Selection (size optimized): Enter Task.__init__(polyselect1)
PID3003164 2023-12-06 21:12:10,195 Debug:Polynomial Selection (size optimized): state = {}
PID3003164 2023-12-06 21:12:10,195 Debug:Polynomial Selection (size optimized): self.parameters = MyParameters: name = None, prefix = ['tasks', 'polyselect']
PID3003164 2023-12-06 21:12:10,195 Debug:Polynomial Selection (size optimized): params = {'adrange': 840, 'admin': 1080, 'admax': 80000, 'nrkeep': 48, 'workdir': '/home/five/Documents/math/GNFS/c137.300', 'name': 'c135', 'N': 30075520210249760077698391767240562214089407456837796293115116972033863250581758675659804694657827133040064068037910409494722911229606179, 'run': True, 'maxwu': 10, 'wutimeout': 10800, 'maxresubmit': 5, 'maxwuerror': 2, 'maxtimedout': 100, 'maxfailed': 100}
PID3003164 2023-12-06 21:12:10,195 Debug:Polynomial Selection (size optimized): tasks.polyselect.polyselect.P found from tasks.polyselect.P
PID3003164 2023-12-06 21:12:10,195 Debug:Polynomial Selection (size optimized): tasks.polyselect.polyselect.degree found from tasks.polyselect.degree
PID3003164 2023-12-06 21:12:10,195 Debug:Polynomial Selection (size optimized): tasks.polyselect.polyselect.threads found from tasks.polyselect.threads
PID3003164 2023-12-06 21:12:10,195 Debug:Polynomial Selection (size optimized): tasks.polyselect.polyselect.admin found from tasks.polyselect.admin
PID3003164 2023-12-06 21:12:10,195 Debug:Polynomial Selection (size optimized): tasks.polyselect.polyselect.admax found from tasks.polyselect.admax
PID3003164 2023-12-06 21:12:10,195 Debug:Polynomial Selection (size optimized): tasks.polyselect.polyselect.incr found from tasks.polyselect.incr
PID3003164 2023-12-06 21:12:10,195 Debug:Polynomial Selection (size optimized): tasks.polyselect.polyselect.nq found from tasks.polyselect.nq
PID3003164 2023-12-06 21:12:10,195 Debug:Polynomial Selection (size optimized): tasks.polyselect.polyselect.sopteffort found from tasks.polyselect.sopteffort
PID3003164 2023-12-06 21:12:10,195 Debug:Polynomial Selection (size optimized): tasks.polyselect.polyselect.execpath found from tasks.execpath
PID3003164 2023-12-06 21:12:10,195 Debug:Polynomial Selection (size optimized): tasks.polyselect.polyselect.N found from N
PID3003164 2023-12-06 21:12:10,195 Debug:Polynomial Selection (size optimized): Exit Task.__init__(polyselect1)
PID3003164 2023-12-06 21:12:10,240 Debug:Polynomial Selection (root optimized): Enter Task.__init__(polyselect2)
PID3003164 2023-12-06 21:12:10,240 Debug:Polynomial Selection (root optimized): state = {}
PID3003164 2023-12-06 21:12:10,240 Debug:Polynomial Selection (root optimized): self.parameters = MyParameters: name = None, prefix = ['tasks', 'polyselect']
PID3003164 2023-12-06 21:12:10,240 Debug:Polynomial Selection (root optimized): params = {'workdir': '/home/five/Documents/math/GNFS/c137.300', 'I': 13, 'qmin': 1500000, 'lpb1': 30, 'lpb0': 29, 'name': 'c135', 'N': 30075520210249760077698391767240562214089407456837796293115116972033863250581758675659804694657827133040064068037910409494722911229606179, 'run': True, 'maxwu': 10, 'wutimeout': 10800, 'maxresubmit': 5, 'maxwuerror': 2, 'maxtimedout': 100, 'maxfailed': 100}
PID3003164 2023-12-06 21:12:10,240 Debug:Polynomial Selection (root optimized): tasks.polyselect.polyselect_ropt.threads found from tasks.polyselect.threads
PID3003164 2023-12-06 21:12:10,240 Debug:Polynomial Selection (root optimized): tasks.polyselect.polyselect_ropt.ropteffort found from tasks.polyselect.ropteffort
PID3003164 2023-12-06 21:12:10,240 Debug:Polynomial Selection (root optimized): tasks.polyselect.polyselect_ropt.execpath found from tasks.execpath
PID3003164 2023-12-06 21:12:10,240 Debug:Polynomial Selection (root optimized): Exit Task.__init__(polyselect2)
PID3003164 2023-12-06 21:12:10,277 Debug:Filtering - Merging: Enter Task.__init__(merge)
PID3003164 2023-12-06 21:12:10,277 Debug:Filtering - Merging: state = {}
PID3003164 2023-12-06 21:12:10,277 Debug:Filtering - Merging: self.parameters = MyParameters: name = None, prefix = ['tasks', 'filter']
PID3003164 2023-12-06 21:12:10,277 Debug:Filtering - Merging: params = {'workdir': '/home/five/Documents/math/GNFS/c137.300', 'name': 'c135', 'run': True, 'gzip': True}
PID3003164 2023-12-06 21:12:10,277 Debug:Filtering - Merging: tasks.filter.merge.target_density found from tasks.filter.target_density
PID3003164 2023-12-06 21:12:10,277 Debug:Filtering - Merging: tasks.filter.merge.threads found from tasks.threads
PID3003164 2023-12-06 21:12:10,277 Debug:Filtering - Merging: tasks.filter.merge.execpath found from tasks.execpath
PID3003164 2023-12-06 21:12:10,277 Debug:Filtering - Merging: tasks.filter.replay.execpath found from tasks.execpath
PID3003164 2023-12-06 21:12:10,278 Debug:Filtering - Merging: Exit Task.__init__(merge)
PID3003164 2023-12-06 21:12:10,289 Debug:Linear Algebra: Enter Task.__init__(linalg)
PID3003164 2023-12-06 21:12:10,289 Debug:Linear Algebra: state = {}
PID3003164 2023-12-06 21:12:10,289 Debug:Linear Algebra: self.parameters = MyParameters: name = None, prefix = ['tasks', 'linalg']
PID3003164 2023-12-06 21:12:10,289 Debug:Linear Algebra: params = {'workdir': '/home/five/Documents/math/GNFS/c137.300', 'name': 'c135', 'run': True, 'force_wipeout': False}
PID3003164 2023-12-06 21:12:10,289 Debug:Linear Algebra: tasks.linalg.bwc.interval found from tasks.linalg.bwc.interval
PID3003164 2023-12-06 21:12:10,289 Debug:Linear Algebra: tasks.linalg.bwc.interleaving found from tasks.linalg.bwc.interleaving
PID3003164 2023-12-06 21:12:10,289 Debug:Linear Algebra: tasks.linalg.bwc.cpubinding found from tasks.linalg.bwc.cpubinding
PID3003164 2023-12-06 21:12:10,289 Debug:Linear Algebra: tasks.linalg.bwc.m found from tasks.linalg.m
PID3003164 2023-12-06 21:12:10,289 Debug:Linear Algebra: tasks.linalg.bwc.n found from tasks.linalg.n
PID3003164 2023-12-06 21:12:10,289 Debug:Linear Algebra: tasks.linalg.bwc.threads found from tasks.threads
PID3003164 2023-12-06 21:12:10,289 Debug:Linear Algebra: tasks.linalg.bwc.execpath found from tasks.execpath
PID3003164 2023-12-06 21:12:10,289 Debug:Linear Algebra: Exit Task.__init__(linalg)
PID3003164 2023-12-06 21:12:10,301 Debug:Quadratic Characters: Enter Task.__init__(characters)
PID3003164 2023-12-06 21:12:10,301 Debug:Quadratic Characters: state = {}
PID3003164 2023-12-06 21:12:10,301 Debug:Quadratic Characters: self.parameters = MyParameters: name = None, prefix = ['tasks', 'linalg']
PID3003164 2023-12-06 21:12:10,301 Debug:Quadratic Characters: params = {'workdir': '/home/five/Documents/math/GNFS/c137.300', 'name': 'c135', 'run': True}
PID3003164 2023-12-06 21:12:10,301 Debug:Quadratic Characters: tasks.linalg.characters.nchar found from tasks.linalg.characters.nchar
PID3003164 2023-12-06 21:12:10,301 Debug:Quadratic Characters: tasks.linalg.characters.lpb0 found from tasks.lpb0
PID3003164 2023-12-06 21:12:10,301 Debug:Quadratic Characters: tasks.linalg.characters.lpb1 found from tasks.lpb1
PID3003164 2023-12-06 21:12:10,301 Debug:Quadratic Characters: tasks.linalg.characters.threads found from tasks.threads
PID3003164 2023-12-06 21:12:10,301 Debug:Quadratic Characters: tasks.linalg.characters.execpath found from tasks.execpath
PID3003164 2023-12-06 21:12:10,301 Debug:Quadratic Characters: Exit Task.__init__(characters)
PID3003164 2023-12-06 21:12:10,309 Debug:Square Root: Enter Task.__init__(sqrt)
PID3003164 2023-12-06 21:12:10,309 Debug:Square Root: state = {}
PID3003164 2023-12-06 21:12:10,309 Debug:Square Root: self.parameters = MyParameters: name = None, prefix = ['tasks', 'sqrt']
PID3003164 2023-12-06 21:12:10,309 Debug:Square Root: params = {'workdir': '/home/five/Documents/math/GNFS/c137.300', 'name': 'c135', 'N': 30075520210249760077698391767240562214089407456837796293115116972033863250581758675659804694657827133040064068037910409494722911229606179, 'run': True, 'gzip': True}
PID3003164 2023-12-06 21:12:10,310 Debug:Square Root: tasks.sqrt.sqrt.threads found from tasks.sqrt.threads
PID3003164 2023-12-06 21:12:10,310 Debug:Square Root: tasks.sqrt.sqrt.execpath found from tasks.execpath
PID3003164 2023-12-06 21:12:10,310 Debug:Square Root: Exit Task.__init__(sqrt)
PID3003164 2023-12-06 21:12:10,322 Info:Complete Factorization / Discrete logarithm: Factoring 30075520210249760077698391767240562214089407456837796293115116972033863250581758675659804694657827133040064068037910409494722911229606179
PID3003164 2023-12-06 21:12:10,327 Info:Client Launcher: Starting client id localhost on host localhost
PID3003164 2023-12-06 21:12:10,420 Info:Client Launcher: Starting client id localhost+2 on host localhost
PID3003164 2023-12-06 21:12:10,496 Info:Client Launcher: Starting client id localhost+3 on host localhost
PID3003164 2023-12-06 21:12:10,572 Info:Client Launcher: Starting client id localhost+4 on host localhost
PID3003164 2023-12-06 21:12:10,649 Info:Client Launcher: Starting client id localhost+5 on host localhost
PID3003164 2023-12-06 21:12:10,729 Info:Client Launcher: Starting client id localhost+6 on host localhost
PID3003164 2023-12-06 21:12:10,810 Info:Client Launcher: Running clients: localhost (Host localhost, PID 3003193), localhost+2 (Host localhost, PID 3003195), localhost+3 (Host localhost, PID 3003197), localhost+4 (Host localhost, PID 3003199), localhost+5 (Host localhost, PID 3003201), localhost+6 (Host localhost, PID 3003203)
PID3003164 2023-12-06 21:12:10,810 Info:Polynomial Selection (size optimized): Starting
PID3003164 2023-12-06 21:12:10,810 Debug:Polynomial Selection (size optimized): polyselect1.run(): Task state: {'wu_submitted': 0, 'wu_received': 0, 'wu_range_received': 0, 'wu_timedout': 0, 'wu_failed': 0, 'start_real_time': 0, 'start_achievement': -1, 'adnext': 1080}
PID3003164 2023-12-06 21:12:10,810 Info:Polynomial Selection (size optimized): 0 polynomials in queue from previous run
PID3003164 2023-12-06 21:12:10,876 Debug:Polynomial Selection (size optimized): Setting last timeout check to 1701925930.876059
PID3003164 2023-12-06 21:13:01,911 Debug:Polynomial Selection (size optimized): stderr is: b"# Warning: the current admin, admax, incr settings only make it possible to run 1 jobs in parallel, so that we won't be able to do 2-thread parallelism as requested\n"
PID3003164 2023-12-06 21:22:39,947 Debug:Polynomial Selection (size optimized): stderr is: b"# Warning: the current admin, admax, incr settings only make it possible to run 1 jobs in parallel, so that we won't be able to do 2-thread parallelism as requested\n"
PID3003164 2023-12-06 21:22:50,089 Info:Polynomial Selection (size optimized): Finished
PID3003164 2023-12-06 21:22:50,089 Info:Complete Factorization / Discrete logarithm: Polynomial Selection (size optimized)
PID3003164 2023-12-06 21:22:50,089 Info:Polynomial Selection (size optimized): Aggregate statistics:
PID3003164 2023-12-06 21:22:50,089 Info:Polynomial Selection (size optimized): potential collisions: 55901.8
PID3003164 2023-12-06 21:22:50,089 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38392/40.600/50.764/61.460/2.286
PID3003164 2023-12-06 21:22:50,089 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 32395/38.990/44.199/55.530/1.350
PID3003164 2023-12-06 21:22:50,089 Info:Polynomial Selection (size optimized): Total time: 6137.97
PID3003164 2023-12-06 21:22:50,089 Info:Polynomial Selection (root optimized): Starting
PID3003164 2023-12-06 21:22:50,089 Debug:Polynomial Selection (root optimized): polyselect2.run(): Task state: {'wu_submitted': 0, 'wu_received': 0, 'wu_range_received': 0, 'wu_timedout': 0, 'wu_failed': 0, 'start_real_time': 0, 'start_achievement': -1, 'nr_poly_submitted': 0}
PID3003164 2023-12-06 21:22:50,089 Info:Polynomial Selection (root optimized): No polynomial was previously found
PID3003164 2023-12-06 21:22:50,176 Debug:Polynomial Selection (root optimized): Setting last timeout check to 1701926570.176663
PID3003164 2023-12-06 21:23:48,088 Info:Polynomial Selection (root optimized): New best polynomial from file /home/five/Documents/math/GNFS/c137.300/c135.upload/c135.polyselect2.mpqny0j2.opt_24: Murphy E = 1.329e-06
PID3003164 2023-12-06 21:23:48,088 Debug:Polynomial Selection (root optimized): New best polynomial is:
n: 30075520210249760077698391767240562214089407456837796293115116972033863250581758675659804694657827133040064068037910409494722911229606179
skew: 251044.565
c0: 33700774469358190381099268787116
c1: -697885835657686716302064853
c2: -1698966527928224763010
c3: 12442669498625437
c4: 18859879904
c5: 42840
Y0: -268762028480924956679930535
Y1: 777955521613781423
# MurphyE (Bf=1.074e+09,Bg=5.369e+08,area=5.033e+13) = 1.329e-06
# f(x) = 42840*x^5+18859879904*x^4+12442669498625437*x^3-1698966527928224763010*x^2-697885835657686716302064853*x+33700774469358190381099268787116
# g(x) = 777955521613781423*x-268762028480924956679930535

PID3003164 2023-12-06 21:23:48,088 Info:Polynomial Selection (root optimized): New best polynomial from file /home/five/Documents/math/GNFS/c137.300/c135.upload/c135.polyselect2.mpqny0j2.opt_24: Murphy E = 1.410e-06
PID3003164 2023-12-06 21:23:48,088 Debug:Polynomial Selection (root optimized): New best polynomial is:
n: 30075520210249760077698391767240562214089407456837796293115116972033863250581758675659804694657827133040064068037910409494722911229606179
skew: 226541.967
c0: 203775264195385369329721279014354
c1: 1972832481214556367129988589
c2: -10736865216622294509452
c3: -70626751819717717
c4: 229546931106
c5: 173880
Y0: -2257745466278863931806932
Y1: 971706064445456842031
# MurphyE (Bf=1.074e+09,Bg=5.369e+08,area=5.033e+13) = 1.410e-06
# f(x) = 173880*x^5+229546931106*x^4-70626751819717717*x^3-10736865216622294509452*x^2+1972832481214556367129988589*x+203775264195385369329721279014354
# g(x) = 971706064445456842031*x-2257745466278863931806932

PID3003164 2023-12-06 21:23:48,089 Info:Polynomial Selection (root optimized): Best polynomial from file /home/five/Documents/math/GNFS/c137.300/c135.upload/c135.polyselect2.mpqny0j2.opt_24 with E=1.172e-06 is no better than current best with E=1.410e-06
PID3003164 2023-12-06 21:23:48,089 Info:Polynomial Selection (root optimized): Best polynomial from file /home/five/Documents/math/GNFS/c137.300/c135.upload/c135.polyselect2.mpqny0j2.opt_24 with E=1.294e-06 is no better than current best with E=1.410e-06
PID3003164 2023-12-06 21:23:48,089 Info:Polynomial Selection (root optimized): Best polynomial from file /home/five/Documents/math/GNFS/c137.300/c135.upload/c135.polyselect2.mpqny0j2.opt_24 with E=1.284e-06 is no better than current best with E=1.410e-06
PID3003164 2023-12-06 21:23:48,089 Info:Polynomial Selection (root optimized): Best polynomial from file /home/five/Documents/math/GNFS/c137.300/c135.upload/c135.polyselect2.mpqny0j2.opt_24 with E=1.321e-06 is no better than current best with E=1.410e-06
PID3003164 2023-12-06 21:24:07,159 Info:Polynomial Selection (root optimized): Best polynomial from file /home/five/Documents/math/GNFS/c137.300/c135.upload/c135.polyselect2.1whbkve9.opt_18 with E=1.198e-06 is no better than current best with E=1.410e-06
PID3003164 2023-12-06 21:24:07,160 Info:Polynomial Selection (root optimized): Best polynomial from file /home/five/Documents/math/GNFS/c137.300/c135.upload/c135.polyselect2.1whbkve9.opt_18 with E=1.246e-06 is no better than current best with E=1.410e-06
PID3003164 2023-12-06 21:24:07,160 Info:Polynomial Selection (root optimized): Best polynomial from file /home/five/Documents/math/GNFS/c137.300/c135.upload/c135.polyselect2.1whbkve9.opt_18 with E=1.221e-06 is no better than current best with E=1.410e-06
PID3003164 2023-12-06 21:24:07,160 Info:Polynomial Selection (root optimized): Best polynomial from file /home/five/Documents/math/GNFS/c137.300/c135.upload/c135.polyselect2.1whbkve9.opt_18 with E=1.287e-06 is no better than current best with E=1.410e-06
PID3003164 2023-12-06 21:24:07,160 Info:Polynomial Selection (root optimized): Best polynomial from file /home/five/Documents/math/GNFS/c137.300/c135.upload/c135.polyselect2.1whbkve9.opt_18 with E=1.298e-06 is no better than current best with E=1.410e-06
PID3003164 2023-12-06 21:24:07,160 Info:Polynomial Selection (root optimized): Best polynomial from file /home/five/Documents/math/GNFS/c137.300/c135.upload/c135.polyselect2.1whbkve9.opt_18 with E=1.326e-06 is no better than current best with E=1.410e-06
PID3003164 2023-12-06 21:24:08,569 Info:Polynomial Selection (root optimized): Best polynomial from file /home/five/Documents/math/GNFS/c137.300/c135.upload/c135.polyselect2.olrp8346.opt_0 with E=1.153e-06 is no better than current best with E=1.410e-06
PID3003164 2023-12-06 21:24:08,569 Info:Polynomial Selection (root optimized): Best polynomial from file /home/five/Documents/math/GNFS/c137.300/c135.upload/c135.polyselect2.olrp8346.opt_0 with E=1.153e-06 is no better than current best with E=1.410e-06
PID3003164 2023-12-06 21:24:08,570 Info:Polynomial Selection (root optimized): Best polynomial from file /home/five/Documents/math/GNFS/c137.300/c135.upload/c135.polyselect2.olrp8346.opt_0 with E=1.231e-06 is no better than current best with E=1.410e-06
PID3003164 2023-12-06 21:24:08,570 Info:Polynomial Selection (root optimized): Best polynomial from file /home/five/Documents/math/GNFS/c137.300/c135.upload/c135.polyselect2.olrp8346.opt_0 with E=1.285e-06 is no better than current best with E=1.410e-06
PID3003164 2023-12-06 21:24:08,570 Info:Polynomial Selection (root optimized): New best polynomial from file /home/five/Documents/math/GNFS/c137.300/c135.upload/c135.polyselect2.olrp8346.opt_0: Murphy E = 1.441e-06
PID3003164 2023-12-06 21:24:08,571 Debug:Polynomial Selection (root optimized): New best polynomial is:
n: 30075520210249760077698391767240562214089407456837796293115116972033863250581758675659804694657827133040064068037910409494722911229606179
skew: 685093.503
c0: 2924591282034596393286985039309200
c1: -5271508860427943752665457680
c2: -29490550222877604251629
c3: 6193698767193937
c4: 18750759206
c5: 19320
Y0: -313711265189590459154825981
Y1: 7917262533623923913
# MurphyE (Bf=1.074e+09,Bg=5.369e+08,area=5.033e+13) = 1.441e-06
# f(x) = 19320*x^5+18750759206*x^4+6193698767193937*x^3-29490550222877604251629*x^2-5271508860427943752665457680*x+2924591282034596393286985039309200
# g(x) = 7917262533623923913*x-313711265189590459154825981

PID3003164 2023-12-06 21:24:08,571 Info:Polynomial Selection (root optimized): Best polynomial from file /home/five/Documents/math/GNFS/c137.300/c135.upload/c135.polyselect2.olrp8346.opt_0 with E=1.324e-06 is no better than current best with E=1.441e-06
PID3003164 2023-12-06 21:24:15,826 Info:Polynomial Selection (root optimized): Best polynomial from file /home/five/Documents/math/GNFS/c137.300/c135.upload/c135.polyselect2.cd1vktvz.opt_12 with E=1.148e-06 is no better than current best with E=1.441e-06
PID3003164 2023-12-06 21:24:15,826 Info:Polynomial Selection (root optimized): Best polynomial from file /home/five/Documents/math/GNFS/c137.300/c135.upload/c135.polyselect2.cd1vktvz.opt_12 with E=1.141e-06 is no better than current best with E=1.441e-06
PID3003164 2023-12-06 21:24:15,826 Info:Polynomial Selection (root optimized): Best polynomial from file /home/five/Documents/math/GNFS/c137.300/c135.upload/c135.polyselect2.cd1vktvz.opt_12 with E=1.327e-06 is no better than current best with E=1.441e-06
PID3003164 2023-12-06 21:24:15,826 Info:Polynomial Selection (root optimized): Best polynomial from file /home/five/Documents/math/GNFS/c137.300/c135.upload/c135.polyselect2.cd1vktvz.opt_12 with E=1.280e-06 is no better than current best with E=1.441e-06
PID3003164 2023-12-06 21:24:15,826 Info:Polynomial Selection (root optimized): Best polynomial from file /home/five/Documents/math/GNFS/c137.300/c135.upload/c135.polyselect2.cd1vktvz.opt_12 with E=1.419e-06 is no better than current best with E=1.441e-06
PID3003164 2023-12-06 21:24:15,826 Info:Polynomial Selection (root optimized): New best polynomial from file /home/five/Documents/math/GNFS/c137.300/c135.upload/c135.polyselect2.cd1vktvz.opt_12: Murphy E = 1.449e-06
PID3003164 2023-12-06 21:24:15,826 Debug:Polynomial Selection (root optimized): New best polynomial is:
n: 30075520210249760077698391767240562214089407456837796293115116972033863250581758675659804694657827133040064068037910409494722911229606179
skew: 765145.091
c0: 6058402154215287538097316689148465
c1: 20692076397277342102248233076
c2: -145288977854743695633703
c3: -48735938490961196
c4: 57453834938
c5: 19740
Y0: -13855749108641321118161476
Y1: 339608622183962538787
# MurphyE (Bf=1.074e+09,Bg=5.369e+08,area=5.033e+13) = 1.449e-06
# f(x) = 19740*x^5+57453834938*x^4-48735938490961196*x^3-145288977854743695633703*x^2+20692076397277342102248233076*x+6058402154215287538097316689148465
# g(x) = 339608622183962538787*x-13855749108641321118161476

PID3003164 2023-12-06 21:24:21,623 Info:Polynomial Selection (root optimized): Best polynomial from file /home/five/Documents/math/GNFS/c137.300/c135.upload/c135.polyselect2.4z62736o.opt_6 with E=1.383e-06 is no better than current best with E=1.449e-06
PID3003164 2023-12-06 21:24:21,623 Info:Polynomial Selection (root optimized): Best polynomial from file /home/five/Documents/math/GNFS/c137.300/c135.upload/c135.polyselect2.4z62736o.opt_6 with E=1.316e-06 is no better than current best with E=1.449e-06
PID3003164 2023-12-06 21:24:21,624 Info:Polynomial Selection (root optimized): Best polynomial from file /home/five/Documents/math/GNFS/c137.300/c135.upload/c135.polyselect2.4z62736o.opt_6 with E=1.277e-06 is no better than current best with E=1.449e-06
PID3003164 2023-12-06 21:24:21,624 Info:Polynomial Selection (root optimized): Best polynomial from file /home/five/Documents/math/GNFS/c137.300/c135.upload/c135.polyselect2.4z62736o.opt_6 with E=1.196e-06 is no better than current best with E=1.449e-06
PID3003164 2023-12-06 21:24:21,624 Info:Polynomial Selection (root optimized): Best polynomial from file /home/five/Documents/math/GNFS/c137.300/c135.upload/c135.polyselect2.4z62736o.opt_6 with E=1.304e-06 is no better than current best with E=1.449e-06
PID3003164 2023-12-06 21:24:21,624 Info:Polynomial Selection (root optimized): Best polynomial from file /home/five/Documents/math/GNFS/c137.300/c135.upload/c135.polyselect2.4z62736o.opt_6 with E=1.319e-06 is no better than current best with E=1.449e-06
PID3003164 2023-12-06 21:24:30,064 Info:Polynomial Selection (root optimized): Best polynomial from file /home/five/Documents/math/GNFS/c137.300/c135.upload/c135.polyselect2.1lbajc01.opt_30 with E=1.202e-06 is no better than current best with E=1.449e-06
PID3003164 2023-12-06 21:24:30,064 Info:Polynomial Selection (root optimized): Best polynomial from file /home/five/Documents/math/GNFS/c137.300/c135.upload/c135.polyselect2.1lbajc01.opt_30 with E=1.114e-06 is no better than current best with E=1.449e-06
PID3003164 2023-12-06 21:24:30,065 Info:Polynomial Selection (root optimized): Best polynomial from file /home/five/Documents/math/GNFS/c137.300/c135.upload/c135.polyselect2.1lbajc01.opt_30 with E=1.285e-06 is no better than current best with E=1.449e-06
PID3003164 2023-12-06 21:24:30,065 Info:Polynomial Selection (root optimized): New best polynomial from file /home/five/Documents/math/GNFS/c137.300/c135.upload/c135.polyselect2.1lbajc01.opt_30: Murphy E = 1.484e-06
PID3003164 2023-12-06 21:24:30,065 Debug:Polynomial Selection (root optimized): New best polynomial is:
n: 30075520210249760077698391767240562214089407456837796293115116972033863250581758675659804694657827133040064068037910409494722911229606179
skew: 560658.196
c0: -56831020610789351860429140888072
c1: 7028336667211738175890319742
c2: 2677523165073902292703
c3: -26023982705672177
c4: -7526337746
c5: 21840
Y0: -310345867441213017515397773
Y1: 29467745198827006489
# MurphyE (Bf=1.074e+09,Bg=5.369e+08,area=5.033e+13) = 1.484e-06
# f(x) = 21840*x^5-7526337746*x^4-26023982705672177*x^3+2677523165073902292703*x^2+7028336667211738175890319742*x-56831020610789351860429140888072
# g(x) = 29467745198827006489*x-310345867441213017515397773

PID3003164 2023-12-06 21:24:30,066 Info:Polynomial Selection (root optimized): Best polynomial from file /home/five/Documents/math/GNFS/c137.300/c135.upload/c135.polyselect2.1lbajc01.opt_30 with E=1.447e-06 is no better than current best with E=1.484e-06
PID3003164 2023-12-06 21:24:30,066 Info:Polynomial Selection (root optimized): Best polynomial from file /home/five/Documents/math/GNFS/c137.300/c135.upload/c135.polyselect2.1lbajc01.opt_30 with E=1.234e-06 is no better than current best with E=1.484e-06
PID3003164 2023-12-06 21:25:09,535 Info:Polynomial Selection (root optimized): Best polynomial from file /home/five/Documents/math/GNFS/c137.300/c135.upload/c135.polyselect2.cf6359v0.opt_36 with E=1.349e-06 is no better than current best with E=1.484e-06
PID3003164 2023-12-06 21:25:09,535 Info:Polynomial Selection (root optimized): Best polynomial from file /home/five/Documents/math/GNFS/c137.300/c135.upload/c135.polyselect2.cf6359v0.opt_36 with E=1.374e-06 is no better than current best with E=1.484e-06
PID3003164 2023-12-06 21:25:09,535 Info:Polynomial Selection (root optimized): Best polynomial from file /home/five/Documents/math/GNFS/c137.300/c135.upload/c135.polyselect2.cf6359v0.opt_36 with E=1.398e-06 is no better than current best with E=1.484e-06
PID3003164 2023-12-06 21:25:09,535 Info:Polynomial Selection (root optimized): Best polynomial from file /home/five/Documents/math/GNFS/c137.300/c135.upload/c135.polyselect2.cf6359v0.opt_36 with E=1.316e-06 is no better than current best with E=1.484e-06
PID3003164 2023-12-06 21:25:09,535 Info:Polynomial Selection (root optimized): Best polynomial from file /home/five/Documents/math/GNFS/c137.300/c135.upload/c135.polyselect2.cf6359v0.opt_36 with E=1.350e-06 is no better than current best with E=1.484e-06
PID3003164 2023-12-06 21:25:09,535 Info:Polynomial Selection (root optimized): Best polynomial from file /home/five/Documents/math/GNFS/c137.300/c135.upload/c135.polyselect2.cf6359v0.opt_36 with E=1.185e-06 is no better than current best with E=1.484e-06
PID3003164 2023-12-06 21:25:15,291 Info:Polynomial Selection (root optimized): Best polynomial from file /home/five/Documents/math/GNFS/c137.300/c135.upload/c135.polyselect2.e6in9y91.opt_42 with E=1.113e-06 is no better than current best with E=1.484e-06
PID3003164 2023-12-06 21:25:15,291 Info:Polynomial Selection (root optimized): Best polynomial from file /home/five/Documents/math/GNFS/c137.300/c135.upload/c135.polyselect2.e6in9y91.opt_42 with E=1.278e-06 is no better than current best with E=1.484e-06
PID3003164 2023-12-06 21:25:15,292 Info:Polynomial Selection (root optimized): Best polynomial from file /home/five/Documents/math/GNFS/c137.300/c135.upload/c135.polyselect2.e6in9y91.opt_42 with E=1.321e-06 is no better than current best with E=1.484e-06
PID3003164 2023-12-06 21:25:15,292 Info:Polynomial Selection (root optimized): Best polynomial from file /home/five/Documents/math/GNFS/c137.300/c135.upload/c135.polyselect2.e6in9y91.opt_42 with E=1.248e-06 is no better than current best with E=1.484e-06
PID3003164 2023-12-06 21:25:15,292 Info:Polynomial Selection (root optimized): Best polynomial from file /home/five/Documents/math/GNFS/c137.300/c135.upload/c135.polyselect2.e6in9y91.opt_42 with E=1.315e-06 is no better than current best with E=1.484e-06
PID3003164 2023-12-06 21:25:15,292 Info:Polynomial Selection (root optimized): Best polynomial from file /home/five/Documents/math/GNFS/c137.300/c135.upload/c135.polyselect2.e6in9y91.opt_42 with E=1.324e-06 is no better than current best with E=1.484e-06
PID3003164 2023-12-06 21:25:15,302 Info:Polynomial Selection (root optimized): Kept 40 polynomials with MurphyE from 1.484e-06 to 1.196e-06
PID3003164 2023-12-06 21:25:15,474 Info:Polynomial Selection (root optimized): Best polynomial is /home/five/Documents/math/GNFS/c137.300/c135.poly.0
PID3003164 2023-12-06 21:25:15,474 Info:Polynomial Selection (root optimized): Finished, best polynomial has Murphy_E = 1.484e-06
PID3003164 2023-12-06 21:25:15,474 Info:Polynomial Selection (root optimized): Best polynomial is:
n: 30075520210249760077698391767240562214089407456837796293115116972033863250581758675659804694657827133040064068037910409494722911229606179
skew: 560658.196
c0: -56831020610789351860429140888072
c1: 7028336667211738175890319742
c2: 2677523165073902292703
c3: -26023982705672177
c4: -7526337746
c5: 21840
Y0: -310345867441213017515397773
Y1: 29467745198827006489
# MurphyE (Bf=1.074e+09,Bg=5.369e+08,area=5.033e+13) = 1.484e-06
# f(x) = 21840*x^5-7526337746*x^4-26023982705672177*x^3+2677523165073902292703*x^2+7028336667211738175890319742*x-56831020610789351860429140888072
# g(x) = 29467745198827006489*x-310345867441213017515397773

PID3003164 2023-12-06 21:25:15,475 Info:Polynomial Selection (root optimized): Best overall polynomial was 3-th in list after size optimization
PID3003164 2023-12-06 21:25:15,486 Info:Complete Factorization / Discrete logarithm: Polynomial Selection (root optimized)
PID3003164 2023-12-06 21:25:15,486 Info:Polynomial Selection (root optimized): Aggregate statistics:
PID3003164 2023-12-06 21:25:15,486 Info:Polynomial Selection (root optimized): Total time: 1072.64
PID3003164 2023-12-06 21:25:15,487 Info:Polynomial Selection (root optimized): Rootsieve time: 1072.32
PID3003164 2023-12-06 21:25:15,487 Info:Generate Factor Base: Starting
PID3003164 2023-12-06 21:25:15,487 Debug:Generate Factor Base: factorbase.run(): Task state: {}
PID3003164 2023-12-06 21:25:16,935 Info:Generate Factor Base: Finished
PID3003164 2023-12-06 21:25:16,935 Info:Complete Factorization / Discrete logarithm: Generate Factor Base
PID3003164 2023-12-06 21:25:16,935 Info:Generate Factor Base: Total cpu/real time for makefb: 7.02/1.39161
PID3003164 2023-12-06 21:25:16,935 Info:Generate Free Relations: Starting
PID3003164 2023-12-06 21:25:16,935 Debug:Generate Free Relations: freerel.run(): Task state: {}
PID3003164 2023-12-06 21:26:16,730 Info:Generate Free Relations: Found 235577 free relations
PID3003164 2023-12-06 21:26:16,730 Info:Generate Free Relations: Finished
PID3003164 2023-12-06 21:26:16,730 Info:Complete Factorization / Discrete logarithm: Generate Free Relations
PID3003164 2023-12-06 21:26:16,730 Info:Generate Free Relations: Total cpu/real time for freerel: 701.99/59.7458
PID3003164 2023-12-06 21:26:16,730 Info:Lattice Sieving: Starting
PID3003164 2023-12-06 21:26:16,730 Debug:Lattice Sieving: sieving.run(): Task state: {'wu_submitted': 0, 'wu_received': 0, 'wu_range_received': 0, 'wu_timedout': 0, 'wu_failed': 0, 'start_real_time': 0, 'start_achievement': -1, 'qnext': 1500000, 'rels_found': 0, 'rels_wanted': 60000000}
PID3003164 2023-12-06 21:26:16,730 Info:Lattice Sieving: We want 60000000 relation(s)
PID3003164 2023-12-06 21:26:16,819 Debug:Lattice Sieving: Setting last timeout check to 1701926776.819780
PID3003164 2023-12-07 03:19:22,973 Info:Lattice Sieving: Reached target of 60000000 relations, now have 60009533
PID3003164 2023-12-07 03:19:22,973 Debug:Lattice Sieving: Exit SievingTask.run(sieving)
PID3003164 2023-12-07 03:19:22,973 Info:Complete Factorization / Discrete logarithm: Lattice Sieving
PID3003164 2023-12-07 03:19:22,973 Info:Lattice Sieving: Aggregate statistics:
PID3003164 2023-12-07 03:19:22,974 Info:Lattice Sieving: Total number of relations: 60009533
PID3003164 2023-12-07 03:19:22,974 Info:Lattice Sieving: Average J: 3958.63 for 558857 special-q, max bucket fill -bkmult 1.0,1s:1.109240
PID3003164 2023-12-07 03:19:22,974 Info:Lattice Sieving: Total time: 126116s
PID3003164 2023-12-07 03:19:22,974 Info:Filtering - Duplicate Removal, splitting pass: Starting
PID3003164 2023-12-07 03:19:22,974 Debug:Filtering - Duplicate Removal, splitting pass: duplicates1.run(): Task state: {}
PID3003164 2023-12-07 03:19:22,975 Info:Filtering - Duplicate Removal, splitting pass: Splitting 865 new files
PID3003164 2023-12-07 03:20:36,234 Debug:Filtering - Duplicate Removal, splitting pass: Output file names: {'/home/five/Documents/math/GNFS/c137.300/c135.dup1//1/dup1.0.0000.gz': 1, '/home/five/Documents/math/GNFS/c137.300/c135.dup1//0/dup1.0.0000.gz': 0}
PID3003164 2023-12-07 03:20:36,234 Debug:Filtering - Duplicate Removal, splitting pass: Newly arrived stats: {'stats_dup1_time': '73.0'}
PID3003164 2023-12-07 03:20:36,234 Debug:Filtering - Duplicate Removal, splitting pass: Combined stats: {'stats_dup1_time': '73.0'}
PID3003164 2023-12-07 03:20:36,271 Info:Filtering - Duplicate Removal, splitting pass: Relations per slice: 0: 30012998, 1: 29996535
PID3003164 2023-12-07 03:20:36,271 Debug:Filtering - Duplicate Removal, splitting pass: Exit Duplicates1Task.run(duplicates1)
PID3003164 2023-12-07 03:20:36,271 Info:Complete Factorization / Discrete logarithm: Filtering - Duplicate Removal, splitting pass
PID3003164 2023-12-07 03:20:36,271 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 255.07/73.1257
PID3003164 2023-12-07 03:20:36,271 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
PID3003164 2023-12-07 03:20:36,271 Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 73.0s
PID3003164 2023-12-07 03:20:36,271 Info:Filtering - Duplicate Removal, removal pass: Starting
PID3003164 2023-12-07 03:20:36,272 Debug:Filtering - Duplicate Removal, removal pass: duplicates2.run(): Task state: {}
PID3003164 2023-12-07 03:22:26,057 Debug:Filtering - Duplicate Removal, removal pass: Newly arrived stats: {'stats_dup2_time': '94.3'}
PID3003164 2023-12-07 03:22:26,057 Debug:Filtering - Duplicate Removal, removal pass: Combined stats: {'stats_dup2_time': '94.3'}
PID3003164 2023-12-07 03:22:26,057 Info:Filtering - Duplicate Removal, removal pass: 20831832 unique relations remain on slice 0
PID3003164 2023-12-07 03:24:13,734 Debug:Filtering - Duplicate Removal, removal pass: Newly arrived stats: {'stats_dup2_time': '92.9'}
PID3003164 2023-12-07 03:24:13,735 Debug:Filtering - Duplicate Removal, removal pass: Combined stats: {'stats_dup2_time': '187.2'}
PID3003164 2023-12-07 03:24:13,735 Info:Filtering - Duplicate Removal, removal pass: 20820796 unique relations remain on slice 1
PID3003164 2023-12-07 03:24:13,740 Info:Filtering - Duplicate Removal, removal pass: Of 60009533 newly added relations 41652628 were unique (ratio 0.694100)
PID3003164 2023-12-07 03:24:13,746 Info:Filtering - Duplicate Removal, removal pass: 41652628 unique relations remain in total
PID3003164 2023-12-07 03:24:13,746 Debug:Filtering - Duplicate Removal, removal pass: Exit Duplicates2Task.run(duplicates2)
PID3003164 2023-12-07 03:24:13,746 Info:Complete Factorization / Discrete logarithm: Filtering - Duplicate Removal, removal pass
PID3003164 2023-12-07 03:24:13,746 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 824.82/217.418
PID3003164 2023-12-07 03:24:13,747 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
PID3003164 2023-12-07 03:24:13,747 Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 187.2s
PID3003164 2023-12-07 03:24:13,747 Info:Filtering - Singleton removal: Starting
PID3003164 2023-12-07 03:24:13,747 Debug:Filtering - Singleton removal: purge.run(): Task state: {'input_nrels': 0}
PID3003164 2023-12-07 03:24:13,752 Info:Filtering - Singleton removal: Reading 41652628 unique and 235577 free relations, total 41888205
PID3003164 2023-12-07 03:25:30,801 Info:Filtering - Singleton removal: After purge, 7459337 relations with 7459167 primes remain with weight 147521432 and excess 170
PID3003164 2023-12-07 03:25:30,807 Info:Filtering - Singleton removal: Have enough relations
PID3003164 2023-12-07 03:25:30,808 Info:Lattice Sieving: Cancelling remaining workunits
PID3003164 2023-12-07 03:25:30,809 Info:Client Launcher: Stopped client localhost (Host localhost, PID 3003193)
PID3003164 2023-12-07 03:25:30,816 Info:Client Launcher: Stopped client localhost+2 (Host localhost, PID 3003195)
PID3003164 2023-12-07 03:25:30,822 Info:Client Launcher: Stopped client localhost+3 (Host localhost, PID 3003197)
PID3003164 2023-12-07 03:25:30,828 Info:Client Launcher: Stopped client localhost+4 (Host localhost, PID 3003199)
PID3003164 2023-12-07 03:25:30,835 Info:Client Launcher: Stopped client localhost+5 (Host localhost, PID 3003201)
PID3003164 2023-12-07 03:25:30,841 Info:Client Launcher: Stopped client localhost+6 (Host localhost, PID 3003203)
PID3003164 2023-12-07 03:25:30,845 Debug:Filtering - Singleton removal: Exit PurgeTask.run(purge)
PID3003164 2023-12-07 03:25:30,846 Info:Complete Factorization / Discrete logarithm: Filtering - Singleton removal
PID3003164 2023-12-07 03:25:30,846 Info:Filtering - Singleton removal: Total cpu/real time for purge: 223.52/77.0363
PID3003164 2023-12-07 03:25:30,846 Info:Filtering - Merging: Starting
PID3003164 2023-12-07 03:25:30,846 Debug:Filtering - Merging: merge.run(): Task state: {}
PID3003164 2023-12-07 03:25:55,259 Info:Filtering - Merging: Merged matrix has 1686953 rows and total weight 204143770 (121.0 entries per row on average)
PID3003164 2023-12-07 03:26:25,674 Debug:Filtering - Merging: Exit MergeTask.run(merge)
PID3003164 2023-12-07 03:26:25,674 Info:Complete Factorization / Discrete logarithm: Filtering - Merging
PID3003164 2023-12-07 03:26:25,674 Info:Filtering - Merging: Total cpu/real time for merge: 175.83/24.402
PID3003164 2023-12-07 03:26:25,674 Info:Filtering - Merging: Total cpu/real time for replay: 35.8/30.3994
PID3003164 2023-12-07 03:26:25,675 Info:Linear Algebra: Starting
PID3003164 2023-12-07 03:26:25,675 Debug:Linear Algebra: linalg.run(): Task state: {'ran_already': False}
PID3003164 2023-12-07 03:31:41,896 Info:Linear Algebra: krylov: N=3000 ; ETA (N=54000): Thu Dec  7 04:02:20 2023 [0.036 s/iter]
PID3003164 2023-12-07 03:33:29,867 Info:Linear Algebra: krylov: N=6000 ; ETA (N=54000): Thu Dec  7 04:02:18 2023 [0.036 s/iter]
PID3003164 2023-12-07 03:35:18,011 Info:Linear Algebra: krylov: N=9000 ; ETA (N=54000): Thu Dec  7 04:02:19 2023 [0.036 s/iter]
PID3003164 2023-12-07 03:37:06,146 Info:Linear Algebra: krylov: N=12000 ; ETA (N=54000): Thu Dec  7 04:02:19 2023 [0.036 s/iter]
PID3003164 2023-12-07 03:38:53,864 Info:Linear Algebra: krylov: N=15000 ; ETA (N=54000): Thu Dec  7 04:02:17 2023 [0.036 s/iter]
PID3003164 2023-12-07 03:40:41,706 Info:Linear Algebra: krylov: N=18000 ; ETA (N=54000): Thu Dec  7 04:02:16 2023 [0.036 s/iter]
PID3003164 2023-12-07 03:42:29,609 Info:Linear Algebra: krylov: N=21000 ; ETA (N=54000): Thu Dec  7 04:02:16 2023 [0.036 s/iter]
PID3003164 2023-12-07 03:44:17,460 Info:Linear Algebra: krylov: N=24000 ; ETA (N=54000): Thu Dec  7 04:02:16 2023 [0.036 s/iter]
PID3003164 2023-12-07 03:46:05,256 Info:Linear Algebra: krylov: N=27000 ; ETA (N=54000): Thu Dec  7 04:02:16 2023 [0.036 s/iter]
PID3003164 2023-12-07 03:47:53,295 Info:Linear Algebra: krylov: N=30000 ; ETA (N=54000): Thu Dec  7 04:02:16 2023 [0.036 s/iter]
PID3003164 2023-12-07 03:49:41,281 Info:Linear Algebra: krylov: N=33000 ; ETA (N=54000): Thu Dec  7 04:02:16 2023 [0.036 s/iter]
PID3003164 2023-12-07 03:51:29,288 Info:Linear Algebra: krylov: N=36000 ; ETA (N=54000): Thu Dec  7 04:02:16 2023 [0.036 s/iter]
PID3003164 2023-12-07 03:53:17,041 Info:Linear Algebra: krylov: N=39000 ; ETA (N=54000): Thu Dec  7 04:02:16 2023 [0.036 s/iter]
PID3003164 2023-12-07 03:55:04,978 Info:Linear Algebra: krylov: N=42000 ; ETA (N=54000): Thu Dec  7 04:02:15 2023 [0.036 s/iter]
PID3003164 2023-12-07 03:56:52,841 Info:Linear Algebra: krylov: N=45000 ; ETA (N=54000): Thu Dec  7 04:02:15 2023 [0.036 s/iter]
PID3003164 2023-12-07 03:58:40,671 Info:Linear Algebra: krylov: N=48000 ; ETA (N=54000): Thu Dec  7 04:02:15 2023 [0.036 s/iter]
PID3003164 2023-12-07 04:00:28,791 Info:Linear Algebra: krylov: N=51000 ; ETA (N=54000): Thu Dec  7 04:02:15 2023 [0.036 s/iter]
PID3003164 2023-12-07 04:02:16,439 Info:Linear Algebra: krylov: N=54000 ; ETA (N=54000): Thu Dec  7 04:02:16 2023 [0.036 s/iter]
PID3003164 2023-12-07 04:02:17,711 Info:Linear Algebra: lingen ETA: not available yet
PID3003164 2023-12-07 04:02:22,757 Info:Linear Algebra: lingen ETA: not available yet
PID3003164 2023-12-07 04:02:27,842 Info:Linear Algebra: lingen ETA: not available yet
PID3003164 2023-12-07 04:02:34,106 Info:Linear Algebra: lingen ETA: not available yet
PID3003164 2023-12-07 04:02:51,250 Info:Linear Algebra: lingen ETA: Thu Dec  7 04:02:51 2023
PID3003164 2023-12-07 04:05:01,932 Info:Linear Algebra: mksol: N=3000 ; ETA (N=27000): Thu Dec  7 04:22:14 2023 [0.043 s/iter]
PID3003164 2023-12-07 04:07:10,856 Info:Linear Algebra: mksol: N=6000 ; ETA (N=27000): Thu Dec  7 04:22:13 2023 [0.043 s/iter]
PID3003164 2023-12-07 04:09:19,756 Info:Linear Algebra: mksol: N=9000 ; ETA (N=27000): Thu Dec  7 04:22:12 2023 [0.043 s/iter]
PID3003164 2023-12-07 04:11:28,537 Info:Linear Algebra: mksol: N=12000 ; ETA (N=27000): Thu Dec  7 04:22:12 2023 [0.043 s/iter]
PID3003164 2023-12-07 04:13:37,579 Info:Linear Algebra: mksol: N=15000 ; ETA (N=27000): Thu Dec  7 04:22:12 2023 [0.043 s/iter]
PID3003164 2023-12-07 04:15:46,560 Info:Linear Algebra: mksol: N=18000 ; ETA (N=27000): Thu Dec  7 04:22:12 2023 [0.043 s/iter]
PID3003164 2023-12-07 04:17:55,501 Info:Linear Algebra: mksol: N=21000 ; ETA (N=27000): Thu Dec  7 04:22:12 2023 [0.043 s/iter]
PID3003164 2023-12-07 04:20:04,031 Info:Linear Algebra: mksol: N=24000 ; ETA (N=27000): Thu Dec  7 04:22:12 2023 [0.043 s/iter]
PID3003164 2023-12-07 04:21:38,676 Info:Linear Algebra: mksol: N=26209 ; ETA (N=27000): Thu Dec  7 04:22:11 2023 [0.043 s/iter]
PID3003164 2023-12-07 04:21:40,558 Debug:Linear Algebra: Parsing stats from /home/five/Documents/math/GNFS/c137.300/c135.bwc.stdout.1
PID3003164 2023-12-07 04:21:40,564 Debug:Linear Algebra: Newly arrived stats: {'prep_wct': '21.17', 'prep_cpu': '37.5', 'secure_wct': '185.62', 'secure_cpu': '1812.36', 'krylov_iteration_cpu': '54000 0.03', 'krylov_iteration_cpu_wait': '0.01', 'krylov_iteration_comm': '0.0', 'krylov_iteration_comm_wait': '0.0', 'krylov_wct': '1943.98', 'krylov_cpu': '19224.73', 'lingen_wct': '34.81', 'lingen_cpu': '361.06', 'mksol_iteration_cpu': '27000 0.03', 'mksol_iteration_cpu_wait': '0.01', 'mksol_iteration_comm': '0.0', 'mksol_iteration_comm_wait': '0.0', 'mksol_wct': '1127.35', 'mksol_cpu': '10878.92', 'gather_wct': '1.42', 'gather_cpu': '1.93'}
PID3003164 2023-12-07 04:21:40,565 Debug:Linear Algebra: Combined stats: {'prep_wct': '21.17', 'prep_cpu': '37.5', 'secure_wct': '185.62', 'secure_cpu': '1812.36', 'gather_wct': '1.42', 'gather_cpu': '1.93', 'krylov_wct': '1943.98', 'krylov_cpu': '19224.73', 'krylov_iteration_cpu': '54000 0.03', 'krylov_iteration_cpu_wait': '0.01', 'krylov_iteration_comm': '0.0', 'krylov_iteration_comm_wait': '0.0', 'lingen_wct': '34.81', 'lingen_cpu': '361.06', 'mksol_wct': '1127.35', 'mksol_cpu': '10878.92', 'mksol_iteration_cpu': '27000 0.03', 'mksol_iteration_cpu_wait': '0.01', 'mksol_iteration_comm': '0.0', 'mksol_iteration_comm_wait': '0.0'}
PID3003164 2023-12-07 04:21:40,573 Debug:Linear Algebra: Exit LinAlgTask.run(linalg)
PID3003164 2023-12-07 04:21:40,573 Info:Complete Factorization / Discrete logarithm: Linear Algebra
PID3003164 2023-12-07 04:21:40,573 Info:Linear Algebra: Total cpu/real time for bwc: 32316.8/3314.35
PID3003164 2023-12-07 04:21:40,573 Info:Linear Algebra: Aggregate statistics:
PID3003164 2023-12-07 04:21:40,573 Info:Linear Algebra: Krylov: CPU time 19224.73, WCT time 1943.98, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (54000 iterations)
PID3003164 2023-12-07 04:21:40,573 Info:Linear Algebra: Lingen CPU time 361.06, WCT time 34.81
PID3003164 2023-12-07 04:21:40,573 Info:Linear Algebra: Mksol: CPU time 10878.92,  WCT time 1127.35, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (27000 iterations)
PID3003164 2023-12-07 04:21:40,573 Info:Quadratic Characters: Starting
PID3003164 2023-12-07 04:21:40,573 Debug:Quadratic Characters: characters.run(): Task state: {}
PID3003164 2023-12-07 04:21:52,613 Debug:Quadratic Characters: Exit CharactersTask.run(characters)
PID3003164 2023-12-07 04:21:52,613 Info:Complete Factorization / Discrete logarithm: Quadratic Characters
PID3003164 2023-12-07 04:21:52,613 Info:Quadratic Characters: Total cpu/real time for characters: 44.45/12.0253
PID3003164 2023-12-07 04:21:52,613 Info:Square Root: Starting
PID3003164 2023-12-07 04:21:52,613 Debug:Square Root: sqrt.run(): Task state: {}
PID3003164 2023-12-07 04:21:52,618 Info:Square Root: Creating file of (a,b) values
PID3003164 2023-12-07 04:24:30,033 Info:Square Root: finished
PID3003164 2023-12-07 04:24:30,033 Info:Square Root: Factors: 13380553386972018601152815859725795305124096329061023274246185257462535247001537305989 2247703763846778034099323567475705900241185380632711
PID3003164 2023-12-07 04:24:30,033 Debug:Square Root: Exit SqrtTask.run(sqrt)
PID3003164 2023-12-07 04:24:30,033 Info:Complete Factorization / Discrete logarithm: Square Root
PID3003164 2023-12-07 04:24:30,033 Info:Square Root: Total cpu/real time for sqrt: 2780.55/157.216
PID3003164 2023-12-07 04:24:30,033 Info:Generate Factor Base: Total cpu/real time for makefb: 7.02/1.39161
PID3003164 2023-12-07 04:24:30,033 Info:Quadratic Characters: Total cpu/real time for characters: 44.45/12.0253
PID3003164 2023-12-07 04:24:30,034 Info:Generate Free Relations: Total cpu/real time for freerel: 701.99/59.7458
PID3003164 2023-12-07 04:24:30,034 Info:Lattice Sieving: Aggregate statistics:
PID3003164 2023-12-07 04:24:30,034 Info:Lattice Sieving: Total number of relations: 60009533
PID3003164 2023-12-07 04:24:30,034 Info:Lattice Sieving: Average J: 3958.63 for 558857 special-q, max bucket fill -bkmult 1.0,1s:1.109240
PID3003164 2023-12-07 04:24:30,034 Info:Lattice Sieving: Total time: 126116s
PID3003164 2023-12-07 04:24:30,034 Info:Filtering - Singleton removal: Total cpu/real time for purge: 223.52/77.0363
PID3003164 2023-12-07 04:24:30,034 Info:Polynomial Selection (root optimized): Aggregate statistics:
PID3003164 2023-12-07 04:24:30,034 Info:Polynomial Selection (root optimized): Total time: 1072.64
PID3003164 2023-12-07 04:24:30,034 Info:Polynomial Selection (root optimized): Rootsieve time: 1072.32
PID3003164 2023-12-07 04:24:30,034 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 824.82/217.418
PID3003164 2023-12-07 04:24:30,034 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
PID3003164 2023-12-07 04:24:30,034 Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 187.2s
PID3003164 2023-12-07 04:24:30,034 Info:Filtering - Merging: Total cpu/real time for merge: 175.83/24.402
PID3003164 2023-12-07 04:24:30,034 Info:Filtering - Merging: Total cpu/real time for replay: 35.8/30.3994
PID3003164 2023-12-07 04:24:30,035 Info:Polynomial Selection (size optimized): Aggregate statistics:
PID3003164 2023-12-07 04:24:30,035 Info:Polynomial Selection (size optimized): potential collisions: 55901.8
PID3003164 2023-12-07 04:24:30,035 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38392/40.600/50.764/61.460/2.286
PID3003164 2023-12-07 04:24:30,035 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 32395/38.990/44.199/55.530/1.350
PID3003164 2023-12-07 04:24:30,035 Info:Polynomial Selection (size optimized): Total time: 6137.97
PID3003164 2023-12-07 04:24:30,035 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 255.07/73.1257
PID3003164 2023-12-07 04:24:30,035 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
PID3003164 2023-12-07 04:24:30,035 Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 73.0s
PID3003164 2023-12-07 04:24:30,035 Info:Linear Algebra: Total cpu/real time for bwc: 32316.8/3314.35
PID3003164 2023-12-07 04:24:30,035 Info:Linear Algebra: Aggregate statistics:
PID3003164 2023-12-07 04:24:30,035 Info:Linear Algebra: Krylov: CPU time 19224.73, WCT time 1943.98, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (54000 iterations)
PID3003164 2023-12-07 04:24:30,035 Info:Linear Algebra: Lingen CPU time 361.06, WCT time 34.81
PID3003164 2023-12-07 04:24:30,035 Info:Linear Algebra: Mksol: CPU time 10878.92,  WCT time 1127.35, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (27000 iterations)
PID3003164 2023-12-07 04:24:30,035 Info:Square Root: Total cpu/real time for sqrt: 2780.55/157.216
PID3003164 2023-12-07 04:24:30,309 Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 291976/25939.7 [07:12:20]

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 16, 2020 19:56:38 UTC 2020 年 8 月 17 日 (月) 4 時 56 分 38 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasAugust 16, 2020 20:40:38 UTC 2020 年 8 月 17 日 (月) 5 時 40 分 38 秒 (日本時間)

5×10214-6

c194

composite cofactor 合成数の残り
50430735785062842724020361369628023849185877662422307007692571942585452082425024265365629807677725255909549159435997811425049425767444919257128463296731819305771514473590302996652279453387571017<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 16, 2020 19:57:12 UTC 2020 年 8 月 17 日 (月) 4 時 57 分 12 秒 (日本時間)
403e60--
4511e644252100Eric JeancolasAugust 16, 2020 20:40:20 UTC 2020 年 8 月 17 日 (月) 5 時 40 分 20 秒 (日本時間)
2325Thomas KozlowskiJanuary 18, 2026 04:55:12 UTC 2026 年 1 月 18 日 (日) 13 時 55 分 12 秒 (日本時間)

5×10216-6

c172

composite cofactor 合成数の残り
1114795204445254634450913478083735463256774529597129254274577923948326980337179413280819006597252382736409326407795087989423351208863618189584378616742159629466704443936977<172>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 16, 2020 19:57:37 UTC 2020 年 8 月 17 日 (月) 4 時 57 分 37 秒 (日本時間)
403e60--
4511e644252100Eric JeancolasAugust 16, 2020 20:40:03 UTC 2020 年 8 月 17 日 (月) 5 時 40 分 3 秒 (日本時間)
2325Thomas KozlowskiJanuary 18, 2026 06:01:12 UTC 2026 年 1 月 18 日 (日) 15 時 1 分 12 秒 (日本時間)

5×10217-6

c197

composite cofactor 合成数の残り
13950103698716496562903233857014746520056749382935318250271856274618530513736748563079188099113431273998132793413519983269949751727447109523265930905117273022702296935826432453086294910542973881209<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 16, 2020 20:39:18 UTC 2020 年 8 月 17 日 (月) 5 時 39 分 18 秒 (日本時間)
403e60--
4511e644252100Eric JeancolasAugust 16, 2020 20:39:39 UTC 2020 年 8 月 17 日 (月) 5 時 39 分 39 秒 (日本時間)
2325Thomas KozlowskiJanuary 18, 2026 07:27:53 UTC 2026 年 1 月 18 日 (日) 16 時 27 分 53 秒 (日本時間)

5×10220-6

c196

name 名前Erik Branger
date 日付November 18, 2024 03:40:45 UTC 2024 年 11 月 18 日 (月) 12 時 40 分 45 秒 (日本時間)
composite number 合成数
6005064937802281819695233985153487127676781964046172739250805286235538482175133362155076915918640499054264222037728347290685008394835960622369309609036587486515608289849665264061874263805977456731<196>
prime factors 素因数
6285917477454360113232609796823170849021415553566176913<55>
955320358458505158236363878558766883605345063840635642225113424569514628364622298657615510413788904793127730257350996883908596607517107398187<141>
factorization results 素因数分解の結果
Number: 49994_220
N = 6005064937802281819695233985153487127676781964046172739250805286235538482175133362155076915918640499054264222037728347290685008394835960622369309609036587486515608289849665264061874263805977456731 (196 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=6285917477454360113232609796823170849021415553566176913 (pp55)
r2=955320358458505158236363878558766883605345063840635642225113424569514628364622298657615510413788904793127730257350996883908596607517107398187 (pp141)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 29.52 hours.
Factorization parameters were as follows:
n: 6005064937802281819695233985153487127676781964046172739250805286235538482175133362155076915918640499054264222037728347290685008394835960622369309609036587486515608289849665264061874263805977456731
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 5
c0: -6
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: 30041764
Relations: 6714332 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 9.99 hours.
Total relation processing time: 0.41 hours.
Pruned matrix : 5929993 x 5930218
Matrix solve time: 18.96 hours.
time per square root: 0.18 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 29.52 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 16, 2020 19:58:11 UTC 2020 年 8 月 17 日 (月) 4 時 58 分 11 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasAugust 16, 2020 20:39:02 UTC 2020 年 8 月 17 日 (月) 5 時 39 分 2 秒 (日本時間)

5×10222-6

c192

name 名前ebina
date 日付September 6, 2021 12:53:36 UTC 2021 年 9 月 6 日 (月) 21 時 53 分 36 秒 (日本時間)
composite number 合成数
396566752275417699053830767333145990714138965060205924834837386002004573695292821498313871220691234305737870453839391115413814502490224155015757667426487241888204852244876283107087978603358387<192>
prime factors 素因数
2273056560056075765581848938995232925157505851<46>
12701485806084989338550870141519741954411935238971895882583447308268735859<74>
13735723220574534461928894683617305553689877624675430383571578655227765043<74>
factorization results 素因数分解の結果
C:\MYDATA\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:3740729984 5e7      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 396566752275417699053830767333145990714138965060205924834837386002004573695292821498313871220691234305737870453839391115413814502490224155015757667426487241888204852244876283107087978603358387 (192 digits)
Using B1=50000000, B2=288591693406, polynomial Dickson(12), sigma=1:3740729984
Step 1 took 102500ms
Step 2 took 53688ms
********** Factor found in step 2: 2273056560056075765581848938995232925157505851
Found probable prime factor of 46 digits: 2273056560056075765581848938995232925157505851
Composite cofactor 174464093522439446664282160663205489720364245137584668555518534929977579965423963800772545633036272303452215220559524223381960245093552523480776937 has 147 digits

Number: 181
N=174464093522439446664282160663205489720364245137584668555518534929977579965423963800772545633036272303452215220559524223381960245093552523480776937
  ( 147 digits)
Divisors found:
Version: Msieve v. 1.53 (SVN unknown)
Total time: 668.62 hours.
Scaled time: 2201.09 units (timescale=3.292).
Factorization parameters were as follows:
name: 181
n: 174464093522439446664282160663205489720364245137584668555518534929977579965423963800772545633036272303452215220559524223381960245093552523480776937
skew: 520132.91
# norm 1.97e+020
c5: 699300
c4: 5121863243769
c3: -925395054846950887
c2: -1169498328215083202037914
c1: 49076224565353571258729287745
c0: 32015741328272820259196837710419711
# alpha -6.21
Y1: 6514257836587633
Y0: -12006271525639333901179865098
# Murphy_E 7.73e-012
# M 351774279000930450364060634514027447116247392441216744025207169586732429707169235664394043403772157735293636543688172217958956968267321540218112
type: gnfs
rlim: 17700000
alim: 17700000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 17700000/17700000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved algebraic special-q in [8850000, 23750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3466318 x 3466544
Total sieving time: 643.62 hours.
Total relation processing time: 0.76 hours.
Matrix solve time: 23.04 hours.
Time per square root: 1.21 hours.
Prototype def-par.txt line would be:
gnfs,146,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,17700000,17700000,29,29,58,58,2.6,2.6,100000
total time: 668.62 hours.
 --------- CPU info (if available) ----------

Sun Dec  6 23:42:45 2020  Msieve v. 1.53 (SVN unknown)
Sun Dec  6 23:42:45 2020  random seeds: 67a7c920 d79a6999
Sun Dec  6 23:42:45 2020  factoring 174464093522439446664282160663205489720364245137584668555518534929977579965423963800772545633036272303452215220559524223381960245093552523480776937 (147 digits)
Sun Dec  6 23:42:46 2020  searching for 15-digit factors
Sun Dec  6 23:42:49 2020  commencing number field sieve (147-digit input)
Sun Dec  6 23:42:49 2020  R0: -12006271525639333901179865098
Sun Dec  6 23:42:49 2020  R1: 6514257836587633
Sun Dec  6 23:42:49 2020  A0: 32015741328272820259196837710419711
Sun Dec  6 23:42:49 2020  A1: 49076224565353571258729287745
Sun Dec  6 23:42:49 2020  A2: -1169498328215083202037914
Sun Dec  6 23:42:49 2020  A3: -925395054846950887
Sun Dec  6 23:42:49 2020  A4: 5121863243769
Sun Dec  6 23:42:49 2020  A5: 699300
Sun Dec  6 23:42:49 2020  skew 520132.91, size 2.319e-14, alpha -6.210, combined = 6.962e-12 rroots = 5
Sun Dec  6 23:42:49 2020  
Sun Dec  6 23:42:49 2020  commencing square root phase
Sun Dec  6 23:42:49 2020  reading relations for dependency 1
Sun Dec  6 23:42:50 2020  read 1733193 cycles
Sun Dec  6 23:42:53 2020  cycles contain 5707218 unique relations
Sun Dec  6 23:44:46 2020  read 5707218 relations
Sun Dec  6 23:45:22 2020  multiplying 5707218 relations
Sun Dec  6 23:55:10 2020  multiply complete, coefficients have about 316.63 million bits
Sun Dec  6 23:55:14 2020  initial square root is modulo 480383
Mon Dec  7 00:07:28 2020  GCD is 1, no factor found
Mon Dec  7 00:07:28 2020  reading relations for dependency 2
Mon Dec  7 00:07:30 2020  read 1733406 cycles
Mon Dec  7 00:07:33 2020  cycles contain 5709582 unique relations
Mon Dec  7 00:09:11 2020  read 5709582 relations
Mon Dec  7 00:09:46 2020  multiplying 5709582 relations
Mon Dec  7 00:19:35 2020  multiply complete, coefficients have about 316.75 million bits
Mon Dec  7 00:19:39 2020  initial square root is modulo 482707
Mon Dec  7 00:31:34 2020  GCD is N, no factor found
Mon Dec  7 00:31:34 2020  reading relations for dependency 3
Mon Dec  7 00:31:35 2020  read 1733951 cycles
Mon Dec  7 00:31:39 2020  cycles contain 5711164 unique relations
Mon Dec  7 00:33:33 2020  read 5711164 relations
Mon Dec  7 00:34:08 2020  multiplying 5711164 relations
Mon Dec  7 00:43:30 2020  multiply complete, coefficients have about 316.85 million bits
Mon Dec  7 00:43:33 2020  initial square root is modulo 484531
Mon Dec  7 00:55:23 2020  sqrtTime: 4354
Mon Dec  7 00:55:23 2020  p74 factor: 12701485806084989338550870141519741954411935238971895882583447308268735859
Mon Dec  7 00:55:23 2020  p74 factor: 13735723220574534461928894683617305553689877624675430383571578655227765043
Mon Dec  7 00:55:23 2020  elapsed time 01:12:38

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 16, 2020 19:58:42 UTC 2020 年 8 月 17 日 (月) 4 時 58 分 42 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasAugust 25, 2020 15:18:30 UTC 2020 年 8 月 26 日 (水) 0 時 18 分 30 秒 (日本時間)

5×10225-6

c165

composite cofactor 合成数の残り
164117344041566058218273528616671760191503989986157361637597784955127586543952845933791848608748582476351125011017151372891221797095195641288504488266220003012865421<165>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 16, 2020 19:59:06 UTC 2020 年 8 月 17 日 (月) 4 時 59 分 6 秒 (日本時間)
403e60--
4511e644252100Eric JeancolasAugust 16, 2020 20:38:41 UTC 2020 年 8 月 17 日 (月) 5 時 38 分 41 秒 (日本時間)
2325Thomas KozlowskiJanuary 18, 2026 08:32:44 UTC 2026 年 1 月 18 日 (日) 17 時 32 分 44 秒 (日本時間)

5×10226-6

c182

composite cofactor 合成数の残り
29891179454446012403673518108222981556090422255843164151536090833419740808739342136294031164542839795936191767480597104059176123829656231690242377040118413476051183105315298067091589<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 16, 2020 19:59:44 UTC 2020 年 8 月 17 日 (月) 4 時 59 分 44 秒 (日本時間)
403e60--
4511e644252100Eric JeancolasAugust 16, 2020 20:38:17 UTC 2020 年 8 月 17 日 (月) 5 時 38 分 17 秒 (日本時間)
2325Thomas KozlowskiJanuary 18, 2026 09:49:18 UTC 2026 年 1 月 18 日 (日) 18 時 49 分 18 秒 (日本時間)

5×10228-6

c147

name 名前Eric Jeancolas
date 日付August 17, 2020 04:46:34 UTC 2020 年 8 月 17 日 (月) 13 時 46 分 34 秒 (日本時間)
composite number 合成数
511986397367816135161972423577102703996500490515596400301727709080007861530397470232863874595278921856543410703731539231600873998867358275390832411<147>
prime factors 素因数
18885961058113619605555433287306822827783976058941969778023<59>
27109364241109724514716245933437115362906415296795227283833688469226050458321670527603757<89>
factorization results 素因数分解の結果
511986397367816135161972423577102703996500490515596400301727709080007861530397470232863874595278921856543410703731539231600873998867358275390832411=18885961058113619605555433287306822827783976058941969778023*27109364241109724514716245933437115362906415296795227283833688469226050458321670527603757

n: 511986397367816135161972423577102703996500490515596400301727709080007861530397470232863874595278921856543410703731539231600873998867358275390832411
skew: 367307.829
c0: -575182279180520247304242407546362
c1: -8764927092096176773647426789
c2: 180476131560462475487312
c3: 207718374853179591
c4: -718909401484
c5: 139320
Y0: -23630489545284158935552077888
Y1: 11466461849036521801
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=3.355e+14) = 1.393e-07
# f(x) = 139320*x^5-718909401484*x^4+207718374853179591*x^3+180476131560462475487312*x^2-8764927092096176773647426789*x-575182279180520247304242407546362
# g(x) = 11466461849036521801*x-23630489545284158935552077888

Info:Square Root: Factors: 18885961058113619605555433287306822827783976058941969778023 27109364241109724514716245933437115362906415296795227283833688469226050458321670527603757
Info:Square Root: Total cpu/real time for sqrt: 6078.02/2068.43
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 77228.6
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 78826/44.120/52.891/57.270/0.892
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 63831/42.950/47.536/53.650/1.301
Info:Polynomial Selection (size optimized): Total time: 42131.8
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6436.16
Info:Polynomial Selection (root optimized): Rootsieve time: 6431.48
Info:Generate Factor Base: Total cpu/real time for makefb: 19.03/5.07909
Info:Generate Free Relations: Total cpu/real time for freerel: 444.77/112.775
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 51860793
Info:Lattice Sieving: Average J: 3803.82 for 1637475 special-q, max bucket fill -bkmult 1.0,1s:1.089880
Info:Lattice Sieving: Total time: 1.96619e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 110.15/249.221
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 248.39999999999998s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1067.53/990.83
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 870.4s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 951.9/969.68
Info:Filtering - Merging: Total cpu/real time for merge: 549.35/161.978
Info:Filtering - Merging: Total cpu/real time for replay: 157.4/138.98
Info:Linear Algebra: Total cpu/real time for bwc: 262570/67513.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 43447.94, iteration CPU time 0.35, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (116736 iterations)
Info:Linear Algebra: Lingen CPU time 823.81, WCT time 237.19
Info:Linear Algebra: Mksol: WCT time 23321.99, iteration CPU time 0.38, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (58368 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 145.12/59.2897
Info:Square Root: Total cpu/real time for sqrt: 6078.02/2068.43
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3.63067e+06/408.357
18885961058113619605555433287306822827783976058941969778023 27109364241109724514716245933437115362906415296795227283833688469226050458321670527603757
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 16, 2020 20:00:08 UTC 2020 年 8 月 17 日 (月) 5 時 0 分 8 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasAugust 16, 2020 20:37:42 UTC 2020 年 8 月 17 日 (月) 5 時 37 分 42 秒 (日本時間)

5×10229-6

c217

composite cofactor 合成数の残り
1817676107957327242170226945837775453597000984496015262355548472307989648553523028642250026494086486237032864307833184825785922379683528748683059307796803543713719888947016337626341575050581099905364163655615621772803<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 16, 2020 20:00:27 UTC 2020 年 8 月 17 日 (月) 5 時 0 分 27 秒 (日本時間)
403e60--
4511e644252100Eric JeancolasAugust 16, 2020 20:37:27 UTC 2020 年 8 月 17 日 (月) 5 時 37 分 27 秒 (日本時間)
2325Thomas KozlowskiJanuary 18, 2026 11:28:16 UTC 2026 年 1 月 18 日 (日) 20 時 28 分 16 秒 (日本時間)

5×10232-6

c232

name 名前Ignacio Santos
date 日付March 17, 2021 05:54:55 UTC 2021 年 3 月 17 日 (水) 14 時 54 分 55 秒 (日本時間)
composite number 合成数
3571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571<232>
prime factors 素因数
5406912920292792679348190582459979166422596120122406702454091<61>
660530070315090826262802916449303447501300489689224847104660280868401512459069974710538837836565716077873351286206923008626662546365615429484976814888690855286059595119281<171>
factorization results 素因数分解の結果
Number: 1
N=3571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571
  ( 232 digits)
SNFS difficulty: 234 digits.
Divisors found:
 r1=5406912920292792679348190582459979166422596120122406702454091 (pp61)
 r2=660530070315090826262802916449303447501300489689224847104660280868401512459069974710538837836565716077873351286206923008626662546365615429484976814888690855286059595119281 (pp171)
Version: Msieve v. 1.52 (SVN 927)
Total time: 4486.85 hours.
Scaled time: 35495.46 units (timescale=7.911).
Factorization parameters were as follows:
n: 3571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571
m: 1000000000000000000000000000000000000000
deg: 6
c6: 1
c0: -120
skew: 2.22
# Murphy_E = 9.066e-13
type: snfs
lss: 1
rlim: 56000000
alim: 56000000
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.7
alambda: 2.7Factor base limits: 56000000/56000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 60/60
Sieved rational special-q in [28000000, 54300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 9596215 x 9596448
Total sieving time: 4449.64 hours.
Total relation processing time: 0.33 hours.
Matrix solve time: 36.07 hours.
Time per square root: 0.82 hours.
Prototype def-par.txt line would be:
snfs,234.000,6,0,0,0,0,0,0,0,0,56000000,56000000,30,30,60,60,2.7,2.7,100000
total time: 4486.85 hours.
software ソフトウェア
GGNFS, Msieve
execution environment 実行環境
To the records page

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 16, 2020 20:01:38 UTC 2020 年 8 月 17 日 (月) 5 時 1 分 38 秒 (日本時間)
403e60--
4511e665802100Eric JeancolasAugust 16, 2020 20:37:08 UTC 2020 年 8 月 17 日 (月) 5 時 37 分 8 秒 (日本時間)
4480Ignacio SantosMarch 3, 2021 17:49:43 UTC 2021 年 3 月 4 日 (木) 2 時 49 分 43 秒 (日本時間)
5043e66440Ignacio SantosMarch 5, 2021 15:01:50 UTC 2021 年 3 月 6 日 (土) 0 時 1 分 50 秒 (日本時間)

5×10233-6

c170

composite cofactor 合成数の残り
90589289611853754847950700182538554065730074959736518627275825633484151495028810966338549760650479101511784321240144794050833561261607680745999915423085479746867652549889<170>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 16, 2020 20:01:55 UTC 2020 年 8 月 17 日 (月) 5 時 1 分 55 秒 (日本時間)
403e60--
4511e644252100Eric JeancolasAugust 16, 2020 20:36:52 UTC 2020 年 8 月 17 日 (月) 5 時 36 分 52 秒 (日本時間)
2325Thomas KozlowskiJanuary 18, 2026 12:34:32 UTC 2026 年 1 月 18 日 (日) 21 時 34 分 32 秒 (日本時間)

5×10234-6

c190

composite cofactor 合成数の残り
9050993758456241041922519689745442609641573111329675808139815321554245664366551196062959576825171113983361044382063625407879447494518913210649117121467257628242204169080860133242564260665791<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 16, 2020 20:02:17 UTC 2020 年 8 月 17 日 (月) 5 時 2 分 17 秒 (日本時間)
403e60--
4511e644252100Eric JeancolasAugust 16, 2020 20:36:41 UTC 2020 年 8 月 17 日 (月) 5 時 36 分 41 秒 (日本時間)
2325Thomas KozlowskiJanuary 18, 2026 13:52:34 UTC 2026 年 1 月 18 日 (日) 22 時 52 分 34 秒 (日本時間)

5×10235-6

c228

composite cofactor 合成数の残り
386373879135172237052367894636523177865808858956487300114689676786967986157676676372326994024975238457207864216844024898736429139100113907656055598397549882683753582671112974841326679933921411892992919605935116976314678465762491<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 16, 2020 20:02:35 UTC 2020 年 8 月 17 日 (月) 5 時 2 分 35 秒 (日本時間)
403e60--
4511e644252100Eric JeancolasAugust 16, 2020 20:36:23 UTC 2020 年 8 月 17 日 (月) 5 時 36 分 23 秒 (日本時間)
2325Thomas KozlowskiJanuary 18, 2026 15:33:07 UTC 2026 年 1 月 19 日 (月) 0 時 33 分 7 秒 (日本時間)

5×10236-6

c224

composite cofactor 合成数の残り
31133561042924708037093155440806513548596763773074688225894387957097403421325946558973947338976218903936714731356921130436287427688874389089837074968928011529887903084546843769998317158231628173847476759260175808684172886673<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 16, 2020 20:02:50 UTC 2020 年 8 月 17 日 (月) 5 時 2 分 50 秒 (日本時間)
403e60--
4511e644252100Eric JeancolasAugust 16, 2020 20:35:30 UTC 2020 年 8 月 17 日 (月) 5 時 35 分 30 秒 (日本時間)
2325Thomas KozlowskiJanuary 18, 2026 17:13:43 UTC 2026 年 1 月 19 日 (月) 2 時 13 分 43 秒 (日本時間)

5×10237-6

c193

name 名前Thomas Kozlowski
date 日付January 18, 2026 18:11:03 UTC 2026 年 1 月 19 日 (月) 3 時 11 分 3 秒 (日本時間)
composite number 合成数
3202423052372373994101902624772514642799102875449235446751557373927048886690370127860086168537807401274990220035703996424808196699251927787723182993336313188594108039358429250921447614205095481<193>
prime factors 素因数
464712032101712528960569686346489251363343127<45>
6891198917077861940694434465645058663059582704512777086752117216774625709748630579945625340885844093691738671247429669647590311173742112028576064303<148>
factorization results 素因数分解の結果
GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 3202423052372373994101902624772514642799102875449235446751557373927048886690370127860086168537807401274990220035703996424808196699251927787723182993336313188594108039358429250921447614205095481 (193 digits)
Using B1=15000000, B2=200000000000, polynomial Dickson(12), sigma=1:3259571787
Step 1 took 41469ms
Step 2 took 28718ms
Run 2 out of 0:
...
Using B1=15000000, B2=200000000000, polynomial Dickson(12), sigma=1:4148147140
Step 1 took 35065ms
Step 2 took 28669ms
Run 53 out of 0:
Using B1=15000000, B2=200000000000, polynomial Dickson(12), sigma=1:4100420032
Step 1 took 34891ms
Step 2 took 28662ms
********** Factor found in step 2: 464712032101712528960569686346489251363343127
Found prime factor of 45 digits: 464712032101712528960569686346489251363343127
Prime cofactor 6891198917077861940694434465645058663059582704512777086752117216774625709748630579945625340885844093691738671247429669647590311173742112028576064303 has 148 digits
execution environment 実行環境
AMD Ryzen 9 7950X3D, 64GB DDR5, Ubuntu 24.04 (WSL2)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 16, 2020 20:03:11 UTC 2020 年 8 月 17 日 (月) 5 時 3 分 11 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasAugust 16, 2020 20:34:58 UTC 2020 年 8 月 17 日 (月) 5 時 34 分 58 秒 (日本時間)

5×10238-6

c232

name 名前Thomas Kozlowski
date 日付January 18, 2026 18:36:06 UTC 2026 年 1 月 19 日 (月) 3 時 36 分 6 秒 (日本時間)
composite number 合成数
1400625586617011314869763950328886496495886894889828752232527153788185185336660248626728631089618916109642539621036656780677776167369603298574101525298071332964726028951379075561341321978779177762189126248860801179125053847050677491<232>
prime factors 素因数
69148152524227384687714997307213461038261219<44>
composite cofactor 合成数の残り
20255430340330136976535588757330426268524985259753238909909687895721949653707154883016266725159701108105752598717490956815579046018302678742725698919648097414070619602473707142788435591089<188>
factorization results 素因数分解の結果
GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 1400625586617011314869763950328886496495886894889828752232527153788185185336660248626728631089618916109642539621036656780677776167369603298574101525298071332964726028951379075561341321978779177762189126248860801179125053847050677491 (232 digits)
Using B1=15000000, B2=200000000000, polynomial Dickson(12), sigma=1:1306799323
Step 1 took 49192ms
Step 2 took 36829ms
Run 2 out of 0:
...
Using B1=15000000, B2=200000000000, polynomial Dickson(12), sigma=1:1856475825
Step 1 took 49492ms
Step 2 took 37849ms
Run 17 out of 0:
Using B1=15000000, B2=200000000000, polynomial Dickson(12), sigma=1:2390244243
Step 1 took 48293ms
Step 2 took 37874ms
********** Factor found in step 2: 69148152524227384687714997307213461038261219
Found prime factor of 44 digits: 69148152524227384687714997307213461038261219
Composite cofactor 20255430340330136976535588757330426268524985259753238909909687895721949653707154883016266725159701108105752598717490956815579046018302678742725698919648097414070619602473707142788435591089 has 188 digits
execution environment 実行環境
AMD Ryzen 9 7950X3D, 64GB DDR5, Ubuntu 24.04 (WSL2)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 16, 2020 20:03:28 UTC 2020 年 8 月 17 日 (月) 5 時 3 分 28 秒 (日本時間)
403e60--
4511e644252100Eric JeancolasAugust 16, 2020 20:34:43 UTC 2020 年 8 月 17 日 (月) 5 時 34 分 43 秒 (日本時間)
2325Thomas KozlowskiJanuary 24, 2026 14:09:35 UTC 2026 年 1 月 24 日 (土) 23 時 9 分 35 秒 (日本時間)

5×10239-6

c229

name 名前Thomas Kozlowski
date 日付January 18, 2026 19:00:10 UTC 2026 年 1 月 19 日 (月) 4 時 0 分 10 秒 (日本時間)
composite number 合成数
5976227825832333421352356219630731994583173585307297075787947756169469923514011454902796012446444045992447804417601031374873823510470279352457148604555603969585419810895537199210930594913415952404568685984886971656079411614876437<229>
prime factors 素因数
3148619538972728366275304929098649898023451<43>
1898046985944241218006774561797776321257747997856345450867174806560755270944803876854248318421644917757385246188868754036037566866097202198841102978534681433072929973290057331685573446287<187>
factorization results 素因数分解の結果
GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 5976227825832333421352356219630731994583173585307297075787947756169469923514011454902796012446444045992447804417601031374873823510470279352457148604555603969585419810895537199210930594913415952404568685984886971656079411614876437 (229 digits)
Using B1=15000000, B2=200000000000, polynomial Dickson(12), sigma=1:670404023
Step 1 took 47554ms
Step 2 took 36620ms
Run 2 out of 0:
...
Using B1=15000000, B2=200000000000, polynomial Dickson(12), sigma=1:2516401599
Step 1 took 46569ms
Step 2 took 36315ms
Run 17 out of 0:
Using B1=15000000, B2=200000000000, polynomial Dickson(12), sigma=1:3012164101
Step 1 took 46417ms
Step 2 took 36366ms
********** Factor found in step 2: 3148619538972728366275304929098649898023451
Found prime factor of 43 digits: 3148619538972728366275304929098649898023451
Prime cofactor 1898046985944241218006774561797776321257747997856345450867174806560755270944803876854248318421644917757385246188868754036037566866097202198841102978534681433072929973290057331685573446287 has 187 digits
execution environment 実行環境
AMD Ryzen 9 7950X3D, 64GB DDR5, Ubuntu 24.04 (WSL2)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 16, 2020 20:03:42 UTC 2020 年 8 月 17 日 (月) 5 時 3 分 42 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasAugust 16, 2020 20:34:25 UTC 2020 年 8 月 17 日 (月) 5 時 34 分 25 秒 (日本時間)

5×10240-6

c224

name 名前Erik Branger
date 日付November 18, 2025 08:21:14 UTC 2025 年 11 月 18 日 (火) 17 時 21 分 14 秒 (日本時間)
composite number 合成数
31423978662705623287035897775725008322932817139849139406635288007804500183740879252730580021840094835321830611903083885782331892331310412454560948583678688844703922577544153061287000920273574858830878090822314078669567291447<224>
prime factors 素因数
13532420428415524295634605219792101286492561440441<50>
2322125508066628605113078012264599105147633052430259218285787640030582020009155845017707109834380826614485696731859652517413104059305185414609134910644342529088819135020985967<175>
factorization results 素因数分解の結果
Number: 49994_240
N = 31423978662705623287035897775725008322932817139849139406635288007804500183740879252730580021840094835321830611903083885782331892331310412454560948583678688844703922577544153061287000920273574858830878090822314078669567291447 (224 digits)
SNFS difficulty: 241 digits.
Divisors found:
r1=13532420428415524295634605219792101286492561440441 (pp50)
r2=2322125508066628605113078012264599105147633052430259218285787640030582020009155845017707109834380826614485696731859652517413104059305185414609134910644342529088819135020985967 (pp175)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 58.99 hours.
Factorization parameters were as follows:
n: 31423978662705623287035897775725008322932817139849139406635288007804500183740879252730580021840094835321830611903083885782331892331310412454560948583678688844703922577544153061287000920273574858830878090822314078669567291447
m: 1000000000000000000000000000000000000000000000000000000000000
deg: 4
c4: 5
c0: -6
skew: 1.00
type: snfs
lss: 1
rlim: 500000000
alim: 100000000
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: 500000000/100000000
Large primes per side: 3
Large prime bits: 29/29
Total raw relations: 72411870
Relations: 14126138 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 17.74 hours.
Total relation processing time: 0.93 hours.
Pruned matrix : 10527583 x 10527831
Matrix solve time: 40.12 hours.
time per square root: 0.20 hours.
Prototype def-par.txt line would be: snfs,241,4,0,0,0,0,0,0,0,0,500000000,100000000,29,29,58,58,2.8,2.8,100000
total time: 58.99 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.26200-SP0
processors: 16, speed: 3.79GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 16, 2020 20:03:59 UTC 2020 年 8 月 17 日 (月) 5 時 3 分 59 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasAugust 16, 2020 20:34:12 UTC 2020 年 8 月 17 日 (月) 5 時 34 分 12 秒 (日本時間)

5×10241-6

c209

composite cofactor 合成数の残り
99484758879739098496740859143983143605778869727224953474635522616331202581692538697186890743217709589713434283893300918783901613508547672125484340017852898668160643520130566517328394520160624196901694080236307<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 16, 2020 20:04:13 UTC 2020 年 8 月 17 日 (月) 5 時 4 分 13 秒 (日本時間)
403e60--
4511e644252100Eric JeancolasAugust 16, 2020 20:33:55 UTC 2020 年 8 月 17 日 (月) 5 時 33 分 55 秒 (日本時間)
2325Thomas KozlowskiJanuary 18, 2026 20:28:08 UTC 2026 年 1 月 19 日 (月) 5 時 28 分 8 秒 (日本時間)

5×10243-6

c203

composite cofactor 合成数の残り
78913424198400052024381543525056508021616046129312884309404797826619680340547373494326199121133153803301261026916537845354439521107309727791489374786447494579829305653472889586378585546540022412669844911<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 16, 2020 20:04:32 UTC 2020 年 8 月 17 日 (月) 5 時 4 分 32 秒 (日本時間)
403e60--
4511e644252100Eric JeancolasAugust 16, 2020 20:33:17 UTC 2020 年 8 月 17 日 (月) 5 時 33 分 17 秒 (日本時間)
2325Thomas KozlowskiJanuary 18, 2026 21:56:31 UTC 2026 年 1 月 19 日 (月) 6 時 56 分 31 秒 (日本時間)

5×10244-6

c177

composite cofactor 合成数の残り
107222555618328728461914538544927328771159701257094378205299860304778462009403970341349298659566192350687427057845778801063977889444666004660643391671650883135388894513079533097<177>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 16, 2020 20:04:47 UTC 2020 年 8 月 17 日 (月) 5 時 4 分 47 秒 (日本時間)
403e60--
4511e645002100Eric JeancolasAugust 16, 2020 20:33:30 UTC 2020 年 8 月 17 日 (月) 5 時 33 分 30 秒 (日本時間)
2400ebinaNovember 1, 2021 10:56:28 UTC 2021 年 11 月 1 日 (月) 19 時 56 分 28 秒 (日本時間)

5×10249-6

c196

name 名前ebina
date 日付September 20, 2022 06:13:59 UTC 2022 年 9 月 20 日 (火) 15 時 13 分 59 秒 (日本時間)
composite number 合成数
3027460079011554791662896208201178874786778834912860060280159517663648036338660297158415292592293346405949425900862217058836856160084223445078942352225658784358186313647327786164628973256972186973<196>
prime factors 素因数
97290075180954645005337107233296547231363072882308955337494840379<65>
31117871718987074081626219734496096182681660839735064788086125803928485155172953680054486973074333540303305390363689227907857206087<131>
factorization results 素因数分解の結果
Number: 2228
N = 3027460079011554791662896208201178874786778834912860060280159517663648036338660297158415292592293346405949425900862217058836856160084223445078942352225658784358186313647327786164628973256972186973 (196 digits)
SNFS difficulty: 250 digits.
Divisors found:
r1=97290075180954645005337107233296547231363072882308955337494840379 (pp65)
r2=31117871718987074081626219734496096182681660839735064788086125803928485155172953680054486973074333540303305390363689227907857206087 (pp131)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 1262.75 hours.
Factorization parameters were as follows:
n: 3027460079011554791662896208201178874786778834912860060280159517663648036338660297158415292592293346405949425900862217058836856160084223445078942352225658784358186313647327786164628973256972186973
m: 100000000000000000000000000000000000000000
c6: 2500
c0: -3
type: snfs

Factor base limits: 102700000/102700000
Large primes per side: 3
Large prime bits: 31/31
Sieved rational special-q in [0, 0)
Total raw relations: 163939398
Relations: 28065484 relations
Pruned matrix : 17724493 x 17724719
Total sieving time: 1096.20 hours.
Total relation processing time: 2.07 hours.
Matrix solve time: 163.56 hours.
time per square root: 0.92 hours.
Prototype def-par.txt line would be: snfs,250,6,0,0,0,0,0,0,0,0,102700000,102700000,31,31,62,62,2.6,2.6,100000
total time: 1262.75 hours.
Intel64 Family 6 Model 94 Stepping 3, GenuineIntel
processors: 8, speed: 2.81GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 16, 2020 20:05:06 UTC 2020 年 8 月 17 日 (月) 5 時 5 分 6 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasAugust 16, 2020 20:32:58 UTC 2020 年 8 月 17 日 (月) 5 時 32 分 58 秒 (日本時間)

5×10252-6

c196

name 名前Thomas Kozlowski
date 日付January 18, 2026 22:24:43 UTC 2026 年 1 月 19 日 (月) 7 時 24 分 43 秒 (日本時間)
composite number 合成数
1753399772129451719319038237253768390092644843493811231766411689193039242695830031309175984391558014079283391269226163152905828239821872883450133740164902347403283402835250807817585829841802910989<196>
prime factors 素因数
75244506802120935824113766329030978541757782999<47>
23302694730135811047239213496744013550950243251992564435980031390124654263229421406052322511218180070529101311734174274399872183859626334115198702011<149>
factorization results 素因数分解の結果
GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 1753399772129451719319038237253768390092644843493811231766411689193039242695830031309175984391558014079283391269226163152905828239821872883450133740164902347403283402835250807817585829841802910989 (196 digits)
Using B1=15000000, B2=200000000000, polynomial Dickson(12), sigma=1:1749390812
Step 1 took 40934ms
Step 2 took 31184ms
Run 2 out of 0:
...
Using B1=15000000, B2=200000000000, polynomial Dickson(12), sigma=1:4164395321
Step 1 took 39867ms
Step 2 took 31488ms
Run 23 out of 0:
Using B1=15000000, B2=200000000000, polynomial Dickson(12), sigma=1:1530045181
Step 1 took 40119ms
Step 2 took 31162ms
********** Factor found in step 2: 75244506802120935824113766329030978541757782999
Found prime factor of 47 digits: 75244506802120935824113766329030978541757782999
Prime cofactor 23302694730135811047239213496744013550950243251992564435980031390124654263229421406052322511218180070529101311734174274399872183859626334115198702011 has 149 digits
execution environment 実行環境
AMD Ryzen 9 7950X3D, 64GB DDR5, Ubuntu 24.04 (WSL2)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 16, 2020 20:05:25 UTC 2020 年 8 月 17 日 (月) 5 時 5 分 25 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasAugust 16, 2020 20:32:43 UTC 2020 年 8 月 17 日 (月) 5 時 32 分 43 秒 (日本時間)

5×10253-6

c201

composite cofactor 合成数の残り
185427692618012085639176515290225467471887416754038236855892077947828308883077360192077979190500403807832002284854518862215060724463639958596992760975136530865294721910524664488400177963645029962867739<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 16, 2020 20:05:42 UTC 2020 年 8 月 17 日 (月) 5 時 5 分 42 秒 (日本時間)
403e60--
4511e644252100Eric JeancolasAugust 16, 2020 20:32:28 UTC 2020 年 8 月 17 日 (月) 5 時 32 分 28 秒 (日本時間)
2325Thomas KozlowskiJanuary 18, 2026 23:52:04 UTC 2026 年 1 月 19 日 (月) 8 時 52 分 4 秒 (日本時間)

5×10258-6

c236

composite cofactor 合成数の残り
24780133601660026626457958880534708865373659023269156197626220376065721356995510728615030991497259786405422602722441625090475950154195752939326750930538263726961429415721884149311217160397922172597170013320654441337573962462596415057933<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 16, 2020 20:05:58 UTC 2020 年 8 月 17 日 (月) 5 時 5 分 58 秒 (日本時間)
403e60--
4511e644252100Eric JeancolasAugust 16, 2020 20:32:15 UTC 2020 年 8 月 17 日 (月) 5 時 32 分 15 秒 (日本時間)
2325Thomas KozlowskiJanuary 19, 2026 01:42:54 UTC 2026 年 1 月 19 日 (月) 10 時 42 分 54 秒 (日本時間)

5×10259-6

c244

composite cofactor 合成数の残り
1248091034234429252479959909734752523493436306693424516679306449058456944057023600419784979314635001089726828750403807657703518997122989459510059738575600345088300771396885620150292579844315407302459813512384634022877364814005053297678986227571<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 16, 2020 20:06:09 UTC 2020 年 8 月 17 日 (月) 5 時 6 分 9 秒 (日本時間)
403e60--
4511e644252100Eric JeancolasAugust 16, 2020 20:32:04 UTC 2020 年 8 月 17 日 (月) 5 時 32 分 4 秒 (日本時間)
2325Thomas KozlowskiJanuary 19, 2026 03:34:38 UTC 2026 年 1 月 19 日 (月) 12 時 34 分 38 秒 (日本時間)

5×10260-6

c231

composite cofactor 合成数の残り
122510740108988094561559109726896308864173996069877325650858257823128015477576342330535853948667406617361150080724376821654008605791144475716919804124390452872542600799943323557837798993471817079597643232498101059619321921423120851<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 16, 2020 20:06:23 UTC 2020 年 8 月 17 日 (月) 5 時 6 分 23 秒 (日本時間)
403e60--
4511e644252100Eric JeancolasAugust 16, 2020 20:31:51 UTC 2020 年 8 月 17 日 (月) 5 時 31 分 51 秒 (日本時間)
2325Thomas KozlowskiJanuary 19, 2026 05:16:29 UTC 2026 年 1 月 19 日 (月) 14 時 16 分 29 秒 (日本時間)

5×10261-6

c252

name 名前Thomas Kozlowski
date 日付January 19, 2026 05:18:36 UTC 2026 年 1 月 19 日 (月) 14 時 18 分 36 秒 (日本時間)
composite number 合成数
867359658144665240255313726897475218834607562791341056800784361526735393662402748213394968752558201417727602467924525497532999628871026978291316204691443405691472454260311445614939788275904566238963512313927444558992548267887567857609636655569501823789<252>
prime factors 素因数
9236830528126205854301104460783186663322877938251<49>
composite cofactor 合成数の残り
93902302906126699902597251876441212312599771092782533790780278214248818291417703778144548181683710239090603483609577223736986517221256709186996246336835278488519154478456052807080657000878697604588232039<203>
factorization results 素因数分解の結果
GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 867359658144665240255313726897475218834607562791341056800784361526735393662402748213394968752558201417727602467924525497532999628871026978291316204691443405691472454260311445614939788275904566238963512313927444558992548267887567857609636655569501823789 (252 digits)
Using B1=15000000, B2=200000000000, polynomial Dickson(12), sigma=1:189497452
Step 1 took 63504ms
Step 2 took 43425ms
********** Factor found in step 2: 9236830528126205854301104460783186663322877938251
Found prime factor of 49 digits: 9236830528126205854301104460783186663322877938251
Composite cofactor 93902302906126699902597251876441212312599771092782533790780278214248818291417703778144548181683710239090603483609577223736986517221256709186996246336835278488519154478456052807080657000878697604588232039 has 203 digits
execution environment 実行環境
AMD Ryzen 9 7950X3D, 64GB DDR5, Ubuntu 24.04 (WSL2)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 16, 2020 20:06:43 UTC 2020 年 8 月 17 日 (月) 5 時 6 分 43 秒 (日本時間)
403e62350Ignacio SantosJanuary 17, 2022 17:45:23 UTC 2022 年 1 月 18 日 (火) 2 時 45 分 23 秒 (日本時間)
4511e63906Thomas KozlowskiJanuary 24, 2026 19:23:50 UTC 2026 年 1 月 25 日 (日) 4 時 23 分 50 秒 (日本時間)

5×10264-6

c246

composite cofactor 合成数の残り
123895468614456753594710765454151684410002036680777425563565231803883797863353452713955910475463018547394016625520951671910044723991096634215289429852148267846386381325261311757595314988716932629840488574256752537148082735288914558759144474660021<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 16, 2020 20:23:06 UTC 2020 年 8 月 17 日 (月) 5 時 23 分 6 秒 (日本時間)
403e60--
4511e644252100Eric JeancolasAugust 16, 2020 20:31:33 UTC 2020 年 8 月 17 日 (月) 5 時 31 分 33 秒 (日本時間)
2325Thomas KozlowskiJanuary 19, 2026 07:10:58 UTC 2026 年 1 月 19 日 (月) 16 時 10 分 58 秒 (日本時間)

5×10267-6

c246

composite cofactor 合成数の残り
779802710100439111449761986159132037139054865029502575170879494143737466919757240680417012117413974513913001495137606507427369786168969463185133429953695393919063214898563641336080075779713459494808248024758361742952906196743918134289323348716121<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 16, 2020 20:23:23 UTC 2020 年 8 月 17 日 (月) 5 時 23 分 23 秒 (日本時間)
403e60--
4511e644252100Eric JeancolasAugust 16, 2020 20:31:20 UTC 2020 年 8 月 17 日 (月) 5 時 31 分 20 秒 (日本時間)
2325Thomas KozlowskiJanuary 19, 2026 09:02:41 UTC 2026 年 1 月 19 日 (月) 18 時 2 分 41 秒 (日本時間)

5×10271-6

c271

composite cofactor 合成数の残り
2272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727<271>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 16, 2020 20:23:43 UTC 2020 年 8 月 17 日 (月) 5 時 23 分 43 秒 (日本時間)
403e62350Ignacio SantosJanuary 17, 2022 18:19:12 UTC 2022 年 1 月 18 日 (火) 3 時 19 分 12 秒 (日本時間)
4511e63906Thomas KozlowskiJanuary 19, 2026 12:59:35 UTC 2026 年 1 月 19 日 (月) 21 時 59 分 35 秒 (日本時間)

5×10272-6

c243

composite cofactor 合成数の残り
218121389862173802240992720409372005011406438163822561500580364791434159596035312909513348409196071882738241694550020015152433979560795074423186882688103452351859902452319455794279011477681995177771475124330711373496897034686003455067856272353<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 16, 2020 20:24:07 UTC 2020 年 8 月 17 日 (月) 5 時 24 分 7 秒 (日本時間)
403e60--
4511e644252100Eric JeancolasAugust 16, 2020 20:31:02 UTC 2020 年 8 月 17 日 (月) 5 時 31 分 2 秒 (日本時間)
2325Thomas KozlowskiJanuary 19, 2026 14:51:13 UTC 2026 年 1 月 19 日 (月) 23 時 51 分 13 秒 (日本時間)

5×10273-6

c203

composite cofactor 合成数の残り
23918535439657645842622141211314677999635431004239185099247742165419136804148974246826214592513702614686643017493173325435967819867285684212263154041449195173109224679397733381629015051612320362358477113<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 16, 2020 20:24:21 UTC 2020 年 8 月 17 日 (月) 5 時 24 分 21 秒 (日本時間)
403e60--
4511e644252100Eric JeancolasAugust 16, 2020 20:30:36 UTC 2020 年 8 月 17 日 (月) 5 時 30 分 36 秒 (日本時間)
2325Thomas KozlowskiJanuary 19, 2026 16:18:46 UTC 2026 年 1 月 20 日 (火) 1 時 18 分 46 秒 (日本時間)

5×10274-6

c262

composite cofactor 合成数の残り
4802276711333189961109452695574767509469268277492831027097365683223196525041844638321095095890788004468378297212325937024173782531818967991757315933103170782726492289209280208457522475963112237965501672082129661400755060045144431872517292653811246953975110641063<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 16, 2020 20:24:37 UTC 2020 年 8 月 17 日 (月) 5 時 24 分 37 秒 (日本時間)
403e62350Ignacio SantosJanuary 17, 2022 18:19:59 UTC 2022 年 1 月 18 日 (火) 3 時 19 分 59 秒 (日本時間)
4511e63906Thomas KozlowskiJanuary 19, 2026 19:53:28 UTC 2026 年 1 月 20 日 (火) 4 時 53 分 28 秒 (日本時間)

5×10275-6

c270

composite cofactor 合成数の残り
120979195933550482924754327546817739034324701387050677217342996828893316189774741576339566342813424432280927242627648779005367121048396033624473800987287022174518781052335116244070204711317023079443166635292728521232574761513711056191933010431794106958191041635716155707<270>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 16, 2020 20:24:50 UTC 2020 年 8 月 17 日 (月) 5 時 24 分 50 秒 (日本時間)
403e62350Ignacio SantosJanuary 17, 2022 18:45:04 UTC 2022 年 1 月 18 日 (火) 3 時 45 分 4 秒 (日本時間)
4511e63906Thomas KozlowskiJanuary 19, 2026 23:30:45 UTC 2026 年 1 月 20 日 (火) 8 時 30 分 45 秒 (日本時間)

5×10277-6

c266

composite cofactor 合成数の残り
41452598270368427978397915153896999683163908115361393167206209449021888238444365018186875185243380477457041782760898379265821810947801297806319741924571407186140189885032043255636919862535357420635746636303798465239843573441902892173669134466637461989897439773919033<266>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 16, 2020 20:25:03 UTC 2020 年 8 月 17 日 (月) 5 時 25 分 3 秒 (日本時間)
403e62350Ignacio SantosJanuary 17, 2022 18:51:45 UTC 2022 年 1 月 18 日 (火) 3 時 51 分 45 秒 (日本時間)
4511e63906Thomas KozlowskiJanuary 20, 2026 03:06:11 UTC 2026 年 1 月 20 日 (火) 12 時 6 分 11 秒 (日本時間)

5×10278-6

c278

composite cofactor 合成数の残り
19230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769<278>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 16, 2020 20:25:18 UTC 2020 年 8 月 17 日 (月) 5 時 25 分 18 秒 (日本時間)
403e62400ebinaOctober 21, 2021 03:21:56 UTC 2021 年 10 月 21 日 (木) 12 時 21 分 56 秒 (日本時間)
4511e63895Thomas KozlowskiJanuary 20, 2026 07:04:37 UTC 2026 年 1 月 20 日 (火) 16 時 4 分 37 秒 (日本時間)

5×10281-6

c219

composite cofactor 合成数の残り
826490388890724387341533823265399187801423523852239732418641657630194116597269636820757908131390213300598354724086536444565160397256820117286447779602456810360207519198741715467565741853416741346038990392549229061541483<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 16, 2020 20:25:31 UTC 2020 年 8 月 17 日 (月) 5 時 25 分 31 秒 (日本時間)
403e60--
4511e644252100Eric JeancolasAugust 16, 2020 20:30:14 UTC 2020 年 8 月 17 日 (月) 5 時 30 分 14 秒 (日本時間)
2325Thomas KozlowskiJanuary 20, 2026 08:44:03 UTC 2026 年 1 月 20 日 (火) 17 時 44 分 3 秒 (日本時間)

5×10282-6

c231

composite cofactor 合成数の残り
407497363154829621685030111448242377949835144048946101993206031507393414452720050037958336814393304853150569078997122129207639937188203238380672968328116066288748098747616898869068154487739232751233901651855205038194742227144655099<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 16, 2020 20:25:58 UTC 2020 年 8 月 17 日 (月) 5 時 25 分 58 秒 (日本時間)
403e60--
4511e644252100Eric JeancolasAugust 16, 2020 20:30:02 UTC 2020 年 8 月 17 日 (月) 5 時 30 分 2 秒 (日本時間)
2325Thomas KozlowskiJanuary 20, 2026 10:25:48 UTC 2026 年 1 月 20 日 (火) 19 時 25 分 48 秒 (日本時間)

5×10284-6

c169

composite cofactor 合成数の残り
6262724577523062744592155259212540958092738280310320775576033899632131599196565697476787551603317961192859309915321697959455528572872342979351349880378382505393927629873<169>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 16, 2020 20:26:14 UTC 2020 年 8 月 17 日 (月) 5 時 26 分 14 秒 (日本時間)
403e60--
4511e62100Eric JeancolasAugust 16, 2020 20:29:47 UTC 2020 年 8 月 17 日 (月) 5 時 29 分 47 秒 (日本時間)
5043e62462 / 7075670Dmitry DomanovSeptember 7, 2020 00:30:43 UTC 2020 年 9 月 7 日 (月) 9 時 30 分 43 秒 (日本時間)
1792Dmitry DomanovJune 12, 2024 23:30:01 UTC 2024 年 6 月 13 日 (木) 8 時 30 分 1 秒 (日本時間)

5×10285-6

c268

composite cofactor 合成数の残り
4015050680305857939314610457745497478926839415555510048523203177388630537720972749080396103062374117188478222197921916278727053959905029287706109613163897820504660244819729740379084501021467133891291278049230877375939151657327052287862795626566484632533227112079222959<268>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e62352iveliveAugust 23, 2020 11:39:47 UTC 2020 年 8 月 23 日 (日) 20 時 39 分 47 秒 (日本時間)
4511e63961Thomas KozlowskiJanuary 20, 2026 14:04:21 UTC 2026 年 1 月 20 日 (火) 23 時 4 分 21 秒 (日本時間)

5×10286-6

c260

composite cofactor 合成数の残り
42113527921868486361012527620850896545306793369825700377231259094352442687081003185301486378394117213728253801077832569820326684107198780642437372518373618722374185846008989787373995901440646609781788844909136507538667481323475078688460094580628829912515551629<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 25, 2020 15:19:25 UTC 2020 年 8 月 26 日 (水) 0 時 19 分 25 秒 (日本時間)
403e62350Ignacio SantosJanuary 17, 2022 19:22:12 UTC 2022 年 1 月 18 日 (火) 4 時 22 分 12 秒 (日本時間)
4511e63906Thomas KozlowskiJanuary 20, 2026 17:39:02 UTC 2026 年 1 月 21 日 (水) 2 時 39 分 2 秒 (日本時間)

5×10289-6

c196

composite cofactor 合成数の残り
6670791549959723338949594632381826066166297774058437305934801272124760132738492815215585029628475298059740576113693174503957254610259895907212906825258052681523761282360301113581577723148035486469<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 16, 2020 20:26:32 UTC 2020 年 8 月 17 日 (月) 5 時 26 分 32 秒 (日本時間)
403e60--
4511e62100Eric JeancolasAugust 16, 2020 20:29:24 UTC 2020 年 8 月 17 日 (月) 5 時 29 分 24 秒 (日本時間)
5043e67848680Dmitry DomanovSeptember 4, 2020 23:35:31 UTC 2020 年 9 月 5 日 (土) 8 時 35 分 31 秒 (日本時間)
1792Dmitry DomanovNovember 27, 2024 14:55:54 UTC 2024 年 11 月 27 日 (水) 23 時 55 分 54 秒 (日本時間)
5376Dmitry DomanovJune 2, 2025 07:56:58 UTC 2025 年 6 月 2 日 (月) 16 時 56 分 58 秒 (日本時間)

5×10291-6

c238

composite cofactor 合成数の残り
1538784702635102791232203594521230095714965916217910693415325220257564290565562089939739550239572701870676833397954292817269204396845089242336400559547859051669676323906768168429225009059638486681674570363579664874947722136323221729702973<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 16, 2020 20:26:50 UTC 2020 年 8 月 17 日 (月) 5 時 26 分 50 秒 (日本時間)
403e60--
4511e644252100Eric JeancolasAugust 16, 2020 20:28:56 UTC 2020 年 8 月 17 日 (月) 5 時 28 分 56 秒 (日本時間)
2325Thomas KozlowskiJanuary 20, 2026 19:29:53 UTC 2026 年 1 月 21 日 (水) 4 時 29 分 53 秒 (日本時間)

5×10292-6

c274

composite cofactor 合成数の残り
1577230054855660172866994700038775103379249396621413477296715194461677874189233978052062784145980831474276346748525481475046534042886805774790030472799410681972598084708933487144068560331352690109145609070782216755771470233216664043471986804193356534475409190801710174457849<274>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 16, 2020 20:27:01 UTC 2020 年 8 月 17 日 (月) 5 時 27 分 1 秒 (日本時間)
403e62350Ignacio SantosJanuary 17, 2022 19:33:35 UTC 2022 年 1 月 18 日 (火) 4 時 33 分 35 秒 (日本時間)
4511e63906Thomas KozlowskiJanuary 20, 2026 23:26:31 UTC 2026 年 1 月 21 日 (水) 8 時 26 分 31 秒 (日本時間)

5×10294-6

c289

composite cofactor 合成数の残り
1054372292108360792702394142076244612684773472330529687117131061428151487149943127158563675018841632859976407365591783318902491228676901950546565508783132067721067075369483682323532872586699979207778399623125167908787518256456237856267125641954570050175468636852673403121532433124328628443<289>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 16, 2020 20:27:12 UTC 2020 年 8 月 17 日 (月) 5 時 27 分 12 秒 (日本時間)
403e62350Ignacio SantosJanuary 17, 2022 19:52:04 UTC 2022 年 1 月 18 日 (火) 4 時 52 分 4 秒 (日本時間)
4511e63906Thomas KozlowskiJanuary 21, 2026 03:28:54 UTC 2026 年 1 月 21 日 (水) 12 時 28 分 54 秒 (日本時間)

5×10297-6

c283

composite cofactor 合成数の残り
2740581508910317661931831507029505336903759291383006957673330108169169153038123656652264060200902575033524378493738392578200126008199470633976195515869064358491025717051927031384998464016198891838357305840307394954209478606624701766727982959182854325359037113308325894836628409932857<283>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 16, 2020 20:27:26 UTC 2020 年 8 月 17 日 (月) 5 時 27 分 26 秒 (日本時間)
403e62350Ignacio SantosJanuary 17, 2022 20:11:39 UTC 2022 年 1 月 18 日 (火) 5 時 11 分 39 秒 (日本時間)

5×10298-6

c273

composite cofactor 合成数の残り
454695680085015515880272212088856063810861823187361419360029014892325628633976390203179802019531639370224414511788220914464454733338147209040819037332230368863310733005521757167522735062421171961740536546529944247249685362652668894944680266528345620078923546042416596329623<273>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 16, 2020 20:27:39 UTC 2020 年 8 月 17 日 (月) 5 時 27 分 39 秒 (日本時間)
403e62350Ignacio SantosJanuary 17, 2022 20:40:42 UTC 2022 年 1 月 18 日 (火) 5 時 40 分 42 秒 (日本時間)
4511e63906Thomas KozlowskiJanuary 25, 2026 07:19:49 UTC 2026 年 1 月 25 日 (日) 16 時 19 分 49 秒 (日本時間)

5×10299-6

c211

composite cofactor 合成数の残り
2096416096042684454476110472606753637850575146487578829550583971907998660990192125494247836020662317872569290620758727549538370311987263793976521892393567726291805682218199731216795932925036107602044302592577693<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 16, 2020 20:27:57 UTC 2020 年 8 月 17 日 (月) 5 時 27 分 57 秒 (日本時間)
403e60--
4511e644252100Eric JeancolasAugust 16, 2020 20:28:33 UTC 2020 年 8 月 17 日 (月) 5 時 28 分 33 秒 (日本時間)
2325Thomas KozlowskiJanuary 25, 2026 08:50:09 UTC 2026 年 1 月 25 日 (日) 17 時 50 分 9 秒 (日本時間)

5×10300-6

c286

name 名前Dmitry Domanov
date 日付September 4, 2020 12:10:39 UTC 2020 年 9 月 4 日 (金) 21 時 10 分 39 秒 (日本時間)
composite number 合成数
2630174499790310576226721767693618378666547838138156585051427204017951819013351904543642476876211646587965991855813303066255473127035184063820485709002317569190006275929582239132070611755017963669679098304420694851793307645236933956859326772823163260651722246287484007837792211262445793<286>
prime factors 素因数
21610731626056918439416982550977847931<38>
composite cofactor 合成数の残り
121706869776634706663063985637880041500288917396090257340033046299384742380113264379472003634251439540678320676467822507083748598220075217889876990713670716375930126112304598881424925861625924240060468456137042983808637047917323497180974089241842003<249>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3930148328
Step 1 took 22666ms
Step 2 took 7648ms
********** Factor found in step 2: 21610731626056918439416982550977847931
Found probable prime factor of 38 digits: 21610731626056918439416982550977847931
Composite cofactor 121706869776634706663063985637880041500288917396090257340033046299384742380113264379472003634251439540678320676467822507083748598220075217889876990713670716375930126112304598881424925861625924240060468456137042983808637047917323497180974089241842003 has 249 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 16, 2020 14:00:00 UTC 2020 年 8 月 16 日 (日) 23 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 16, 2020 20:28:11 UTC 2020 年 8 月 17 日 (月) 5 時 28 分 11 秒 (日本時間)
403e61200Dmitry DomanovSeptember 4, 2020 08:53:27 UTC 2020 年 9 月 4 日 (金) 17 時 53 分 27 秒 (日本時間)
4511e62000Dmitry DomanovSeptember 5, 2020 17:30:48 UTC 2020 年 9 月 6 日 (日) 2 時 30 分 48 秒 (日本時間)
5043e6620 / 7052Dmitry DomanovSeptember 5, 2020 20:57:12 UTC 2020 年 9 月 6 日 (日) 5 時 57 分 12 秒 (日本時間)