Table of contents 目次

10202+4

c157

name 名前Eric Jeancolas
date 日付August 13, 2020 07:04:37 UTC 2020 年 8 月 13 日 (木) 16 時 4 分 37 秒 (日本時間)
composite number 合成数
4779084362918422962899199555908850727140231702329166009738783135225584012889713030336235262916242390829856325739276523022520964679821499774708291310160718237<157>
prime factors 素因数
2755789763805026938548882460543403284464443771024594526532978991988053<70>
1734197733690596872468260270961918884373821423196331015116189428785630201629797510789929<88>
factorization results 素因数分解の結果
4779084362918422962899199555908850727140231702329166009738783135225584012889713030336235262916242390829856325739276523022520964679821499774708291310160718237=2755789763805026938548882460543403284464443771024594526532978991988053*1734197733690596872468260270961918884373821423196331015116189428785630201629797510789929

n: 4779084362918422962899199555908850727140231702329166009738783135225584012889713030336235262916242390829856325739276523022520964679821499774708291310160718237
skew: 0.53
type: snfs
c0: 1
c5: 25
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 25*x^5+1
# g(x) = -x+10000000000000000000000000000000000000000

Info:Square Root: Factors: 2755789763805026938548882460543403284464443771024594526532978991988053 1734197733690596872468260270961918884373821423196331015116189428785630201629797510789929
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 14.76/4.68606
Info:Generate Free Relations: Total cpu/real time for freerel: 418.31/119.665
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 45835052
Info:Lattice Sieving: Average J: 1893.77 for 3263946 special-q, max bucket fill -bkmult 1.0,1s:1.075510
Info:Lattice Sieving: Total time: 926494s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 187.75/410.012
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 408.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1432.7/1105.37
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 913.0s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 1089.34/1189.8
Info:Filtering - Merging: Total cpu/real time for merge: 2592.59/2404.83
Info:Filtering - Merging: Total cpu/real time for replay: 245.23/213.318
Info:Linear Algebra: Total cpu/real time for bwc: 474073/137255
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 82079.81, iteration CPU time 0.67, COMM 0.02, cpu-wait 0.15, comm-wait 0.0 (97792 iterations)
Info:Linear Algebra: Lingen CPU time 12440.29, WCT time 4181.9
Info:Linear Algebra: Mksol: WCT time 50459.96, iteration CPU time 0.84, COMM 0.02, cpu-wait 0.17, comm-wait 0.0 (49152 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 278.85/143.267
Info:Square Root: Total cpu/real time for sqrt: 2706.2/1417.82
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.00064e+06/249505
Info:root: Cleaning up computation data in /tmp/cado.kfur39gv
2755789763805026938548882460543403284464443771024594526532978991988053 1734197733690596872468260270961918884373821423196331015116189428785630201629797510789929
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 18.04 LTS [4.15.0-109-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)]
GenuineIntel Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz [Family 6 Model 63 Stepping 2] (4 processors)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 6, 2020 03:16:23 UTC 2020 年 8 月 6 日 (木) 12 時 16 分 23 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasAugust 6, 2020 03:26:10 UTC 2020 年 8 月 6 日 (木) 12 時 26 分 10 秒 (日本時間)

10203+4

c177

name 名前Eric Jeancolas
date 日付February 2, 2021 05:03:12 UTC 2021 年 2 月 2 日 (火) 14 時 3 分 12 秒 (日本時間)
composite number 合成数
329527674320638248986733457369232077006254750726578733953786010075043376233806560881680966990958606863985156550779836866286939168008359490418260320738710238011798991004675109607<177>
prime factors 素因数
2382770705652615039300398761188786896247612461441447<52>
11118787586976797539738120424015488478025603212186209<53>
12438047401634931182656040578662688950126324110395515765910024225803392609<74>
factorization results 素因数分解の結果
329527674320638248986733457369232077006254750726578733953786010075043376233806560881680966990958606863985156550779836866286939168008359490418260320738710238011798991004675109607=2382770705652615039300398761188786896247612461441447*11118787586976797539738120424015488478025603212186209*12438047401634931182656040578662688950126324110395515765910024225803392609 

cado polynomial
n: 329527674320638248986733457369232077006254750726578733953786010075043376233806560881680966990958606863985156550779836866286939168008359490418260320738710238011798991004675109607
skew: 1.85
type: snfs
c0: 40
c6: 1
Y0: 10000000000000000000000000000000000
Y1: -1
# f(x) = x^6+40
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 17600000
tasks.lim1 = 17600000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts) 
Info:Square Root: Factors: 12438047401634931182656040578662688950126324110395515765910024225803392609 2382770705652615039300398761188786896247612461441447 11118787586976797539738120424015488478025603212186209
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 11.14/3.77257
Info:Generate Free Relations: Total cpu/real time for freerel: 330.29/83.5947
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 46928852
Info:Lattice Sieving: Average J: 1893.38 for 4575786 special-q, max bucket fill -bkmult 1.0,1s:1.147850
Info:Lattice Sieving: Total time: 1.60531e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 88.87/171.432
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 170.59999999999997s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 762.6/589.197
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 506.0s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 565.74/542.332
Info:Filtering - Merging: Merged matrix has 3590225 rows and total weight 612313778 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 512.43/232.216
Info:Filtering - Merging: Total cpu/real time for replay: 146.24/129.114
Info:Linear Algebra: Total cpu/real time for bwc: 241654/61794.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 39622.97, iteration CPU time 0.33, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (112640 iterations)
Info:Linear Algebra: Lingen CPU time 797.16, WCT time 229.32
Info:Linear Algebra: Mksol: WCT time 21482.6, iteration CPU time 0.36, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (56320 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 131.25/56.7247
Info:Square Root: Total cpu/real time for sqrt: 1755.65/525.302
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3.123e+06/123641
Info:root: Cleaning up computation data in /tmp/cado.n6eh_zpm
12438047401634931182656040578662688950126324110395515765910024225803392609 2382770705652615039300398761188786896247612461441447 11118787586976797539738120424015488478025603212186209
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
6 x Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
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 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 6, 2020 03:19:54 UTC 2020 年 8 月 6 日 (木) 12 時 19 分 54 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasAugust 6, 2020 16:44:33 UTC 2020 年 8 月 7 日 (金) 1 時 44 分 33 秒 (日本時間)

10205+4

c165

name 名前ebina
date 日付February 11, 2022 12:47:56 UTC 2022 年 2 月 11 日 (金) 21 時 47 分 56 秒 (日本時間)
composite number 合成数
314660957102720470722932828277477451568514723533756047809461656927855052376700715950928732360389597107404583178767840849912009396464199448558284474857020684886939077<165>
prime factors 素因数
484070998808102453988112423967873180404176808771927617659664023197<66>
650030590300783017646367572017465398584608970911364895958825830761969666356321623558508278983604041<99>
factorization results 素因数分解の結果
10/25/16 17:54:14 v1.34.5 @ XXX, Starting factorization of 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000004
10/25/16 17:54:14 v1.34.5 @ XXX, using pretesting plan: light
10/25/16 17:54:14 v1.34.5 @ XXX, no tune info: using qs/gnfs crossover of 95 digits
10/25/16 17:54:14 v1.34.5 @ XXX, ****************************
10/25/16 17:54:14 v1.34.5 @ XXX, div: found prime factor = 2
10/25/16 17:54:14 v1.34.5 @ XXX, div: found prime factor = 2
10/25/16 17:54:14 v1.34.5 @ XXX, div: found prime factor = 7
10/25/16 17:54:14 v1.34.5 @ XXX, div: found prime factor = 19
10/25/16 17:54:14 v1.34.5 @ XXX, rho: x^2 + 3, starting 1000 iterations on C203
10/25/16 17:54:14 v1.34.5 @ XXX, rho: x^2 + 2, starting 1000 iterations on C203
10/25/16 17:54:15 v1.34.5 @ XXX, rho: x^2 + 1, starting 1000 iterations on C203
10/25/16 17:54:15 v1.34.5 @ XXX, pm1: starting B1 = 150K, B2 = gmp-ecm default on C203
10/25/16 17:54:15 v1.34.5 @ XXX, prp9 = 969897077
10/25/16 17:54:15 v1.34.5 @ XXX, current ECM pretesting depth: 0.00
10/25/16 17:54:15 v1.34.5 @ XXX, scheduled 30 curves at B1=2000 toward target pretesting depth of 43.11
10/25/16 17:54:16 v1.34.5 @ XXX, Finished 30 curves using Lenstra ECM method on C194 input, B1=2K, B2=gmp-ecm default
10/25/16 17:54:16 v1.34.5 @ XXX, current ECM pretesting depth: 15.18
10/25/16 17:54:16 v1.34.5 @ XXX, scheduled 74 curves at B1=11000 toward target pretesting depth of 43.11
10/25/16 17:54:28 v1.34.5 @ XXX, Finished 74 curves using Lenstra ECM method on C194 input, B1=11K, B2=gmp-ecm default
10/25/16 17:54:28 v1.34.5 @ XXX, current ECM pretesting depth: 20.24
10/25/16 17:54:28 v1.34.5 @ XXX, scheduled 214 curves at B1=50000 toward target pretesting depth of 43.11
10/25/16 17:56:45 v1.34.5 @ XXX, Finished 214 curves using Lenstra ECM method on C194 input, B1=50K, B2=gmp-ecm default
10/25/16 17:56:45 v1.34.5 @ XXX, pm1: starting B1 = 3750K, B2 = gmp-ecm default on C194
10/25/16 17:56:51 v1.34.5 @ XXX, current ECM pretesting depth: 25.33
10/25/16 17:56:51 v1.34.5 @ XXX, scheduled 430 curves at B1=250000 toward target pretesting depth of 43.11
10/25/16 18:05:04 v1.34.5 @ XXX, prp29 = 61591369081192018008285766693 (curve 167 stg2 B1=250000 sigma=538863150 thread=0)
10/25/16 18:05:04 v1.34.5 @ XXX, Finished 167 curves using Lenstra ECM method on C194 input, B1=250K, B2=gmp-ecm default
10/25/16 18:05:04 v1.34.5 @ XXX, current ECM pretesting depth: 27.27
10/25/16 18:05:04 v1.34.5 @ XXX, scheduled 263 curves at B1=250000 toward target pretesting depth of 36.67
10/25/16 18:14:26 v1.34.5 @ XXX, Finished 263 curves using Lenstra ECM method on C165 input, B1=250K, B2=gmp-ecm default
10/25/16 18:14:27 v1.34.5 @ XXX, pm1: starting B1 = 15M, B2 = gmp-ecm default on C165
10/25/16 18:14:45 v1.34.5 @ XXX, current ECM pretesting depth: 30.45
10/25/16 18:14:45 v1.34.5 @ XXX, scheduled 904 curves at B1=1000000 toward target pretesting depth of 36.67
10/25/16 20:29:03 v1.34.5 @ XXX, Finished 904 curves using Lenstra ECM method on C165 input, B1=1M, B2=gmp-ecm default
10/25/16 20:29:03 v1.34.5 @ XXX, current ECM pretesting depth: 35.56
10/25/16 20:29:03 v1.34.5 @ XXX, scheduled 523 curves at B1=3000000 toward target pretesting depth of 36.67
10/26/16 00:03:50 v1.34.5 @ XXX, Finished 523 curves using Lenstra ECM method on C165 input, B1=3M, B2=gmp-ecm default
10/26/16 00:03:50 v1.34.5 @ XXX, final ECM pretested depth: 36.67
10/26/16 00:03:50 v1.34.5 @ XXX, scheduler: switching to sieve method
10/26/16 00:03:50 v1.34.5 @ XXX, nfs: commencing nfs on c165: 314660957102720470722932828277477451568514723533756047809461656927855052376700715950928732360389597107404583178767840849912009396464199448558284474857020684886939077
10/26/16 00:03:50 v1.34.5 @ XXX, nfs: input divides 10^205 + 4
10/26/16 00:03:50 v1.34.5 @ XXX, nfs: using supplied cofactor: 314660957102720470722932828277477451568514723533756047809461656927855052376700715950928732360389597107404583178767840849912009396464199448558284474857020684886939077
10/26/16 00:03:50 v1.34.5 @ XXX, nfs: commencing snfs on c165: 314660957102720470722932828277477451568514723533756047809461656927855052376700715950928732360389597107404583178767840849912009396464199448558284474857020684886939077
10/26/16 00:03:58 v1.34.5 @ XXX, test: fb generation took 6.9114 seconds
10/26/16 00:03:58 v1.34.5 @ XXX, test: commencing test sieving of polynomial 0 on the rational side over range 18000000-18002000
skew: 1.0000
c5: 1
c0: 4
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
rlim: 18000000
alim: 18000000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
10/26/16 00:12:51 v1.34.5 @ XXX, nfs: parsing special-q from .dat file
10/26/16 00:12:51 v1.34.5 @ XXX, test: new best estimated total sieving time = 8 days 4h 8m 1s (with 4 threads)
10/26/16 00:13:01 v1.34.5 @ XXX, test: fb generation took 9.9943 seconds
10/26/16 00:13:01 v1.34.5 @ XXX, test: commencing test sieving of polynomial 1 on the algebraic side over range 19000000-19002000
skew: 0.8584
c6: 5
c0: 2
Y1: -1
Y0: 10000000000000000000000000000000000
m: 10000000000000000000000000000000000
rlim: 19000000
alim: 19000000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
10/26/16 00:19:14 v1.34.5 @ XXX, nfs: parsing special-q from .dat file
10/26/16 00:19:14 v1.34.5 @ XXX, test: estimated total sieving time = 9 days 3h 1m 56s (with 4 threads)
10/26/16 00:19:14 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/26/16 01:57:03 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/26/16 03:36:44 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/26/16 05:16:41 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/26/16 06:55:41 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/26/16 08:36:09 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/26/16 10:15:19 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/26/16 11:56:18 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/26/16 13:35:49 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/26/16 15:08:54 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/26/16 16:43:19 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/26/16 18:16:30 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/26/16 19:49:25 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/26/16 21:23:07 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/26/16 22:56:34 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/27/16 00:30:04 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/27/16 02:04:55 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/27/16 03:38:07 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/27/16 05:12:54 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/27/16 06:47:09 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/27/16 08:21:06 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/27/16 09:56:07 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/27/16 11:31:04 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/27/16 13:04:43 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/27/16 14:38:53 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/27/16 16:13:29 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/27/16 17:48:36 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/27/16 19:23:03 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/27/16 20:48:33 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/27/16 22:16:03 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/27/16 23:55:13 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/28/16 01:36:14 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/28/16 03:17:26 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/28/16 05:00:29 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/28/16 06:40:31 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/28/16 08:21:47 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/28/16 10:02:24 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/28/16 11:44:25 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/28/16 13:23:55 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/28/16 15:03:48 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/28/16 16:37:45 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/28/16 17:59:32 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/28/16 19:21:55 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/28/16 20:45:05 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/28/16 22:07:01 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/28/16 23:28:29 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/29/16 00:50:58 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/29/16 02:13:33 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/29/16 03:36:37 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/29/16 04:58:11 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/29/16 06:19:57 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/29/16 07:55:29 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/29/16 09:37:08 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/29/16 11:18:51 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/29/16 13:01:17 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/29/16 14:42:22 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/29/16 16:23:25 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/29/16 18:05:08 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/29/16 19:49:22 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/29/16 21:32:42 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/29/16 23:17:11 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/30/16 01:01:48 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/30/16 02:45:56 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/30/16 04:29:10 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/30/16 06:14:39 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/30/16 07:59:35 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/30/16 09:45:22 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/30/16 11:32:22 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/30/16 13:19:45 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/30/16 15:06:42 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/30/16 16:54:22 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/30/16 18:41:42 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/30/16 20:30:04 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/30/16 22:20:28 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/31/16 00:09:19 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/31/16 01:59:32 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/31/16 03:49:52 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/31/16 05:40:41 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/31/16 07:30:53 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/31/16 09:22:16 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/31/16 11:13:20 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/31/16 13:01:45 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/31/16 14:55:30 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/31/16 16:47:18 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/31/16 18:39:18 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/31/16 20:30:51 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
10/31/16 22:24:12 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
11/01/16 00:14:26 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
11/01/16 02:05:49 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
11/01/16 03:59:26 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
11/01/16 05:49:56 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
11/01/16 07:36:49 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
11/01/16 09:27:53 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
11/01/16 11:19:16 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
11/01/16 13:11:56 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
11/01/16 15:03:27 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
11/01/16 16:56:39 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
11/01/16 18:49:42 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
11/01/16 20:42:37 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
11/01/16 22:33:18 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
11/02/16 00:26:20 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
11/02/16 02:19:24 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
11/02/16 04:11:12 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
11/02/16 06:03:48 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
11/02/16 07:51:33 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
11/02/16 09:44:38 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
11/02/16 11:40:05 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
11/02/16 13:31:42 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
11/02/16 15:24:01 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
11/02/16 17:16:12 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
11/02/16 19:08:49 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
11/02/16 21:02:03 v1.34.5 @ XXX, nfs: commencing msieve filtering
11/02/16 21:09:50 v1.34.5 @ XXX, nfs: raising min_rels by 5.00 percent to 22086627
11/02/16 21:09:50 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
11/02/16 23:02:23 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
11/03/16 00:56:09 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
11/03/16 02:46:29 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
11/03/16 04:38:06 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
11/03/16 06:31:31 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
11/03/16 08:24:30 v1.34.5 @ XXX, nfs: commencing msieve filtering
11/03/16 08:32:48 v1.34.5 @ XXX, nfs: raising min_rels by 5.00 percent to 23245558
11/03/16 08:32:48 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
11/03/16 10:24:32 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
11/03/16 12:15:03 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
11/03/16 14:08:34 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
11/03/16 16:01:51 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
11/03/16 17:53:21 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
11/03/16 19:44:20 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
11/03/16 21:35:58 v1.34.5 @ XXX, nfs: commencing msieve filtering
11/03/16 21:45:00 v1.34.5 @ XXX, nfs: raising min_rels by 5.00 percent to 24579388
11/03/16 21:45:00 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
11/03/16 23:27:16 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
11/04/16 01:05:18 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
11/04/16 02:43:24 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
11/04/16 04:22:06 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
11/04/16 06:01:46 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
11/04/16 07:40:19 v1.34.5 @ XXX, nfs: commencing lattice sieving with 4 threads
11/04/16 09:19:59 v1.34.5 @ XXX, nfs: commencing msieve filtering
11/04/16 09:31:27 v1.34.5 @ XXX, nfs: commencing msieve linear algebra
11/04/16 21:22:30 v1.34.5 @ XXX, nfs: commencing msieve sqrt
11/04/16 21:32:41 v1.34.5 @ XXX, prp66 = 484070998808102453988112423967873180404176808771927617659664023197
11/04/16 21:32:41 v1.34.5 @ XXX, prp99 = 650030590300783017646367572017465398584608970911364895958825830761969666356321623558508278983604041
11/04/16 21:32:42 v1.34.5 @ XXX, NFS elapsed time = 854931.3559 seconds.
11/04/16 21:32:42 v1.34.5 @ XXX, 
11/04/16 21:32:42 v1.34.5 @ XXX, 
11/04/16 21:32:42 v1.34.5 @ XXX, Total factoring time = 877107.2206 seconds

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 6, 2020 03:20:41 UTC 2020 年 8 月 6 日 (木) 12 時 20 分 41 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasAugust 6, 2020 16:43:56 UTC 2020 年 8 月 7 日 (金) 1 時 43 分 56 秒 (日本時間)

10213+4

c204

name 名前Bob Backstrom
date 日付August 15, 2020 15:39:15 UTC 2020 年 8 月 16 日 (日) 0 時 39 分 15 秒 (日本時間)
composite number 合成数
808803579795702233242239295907625676114095306948609814333864858556284380683230224195208328601158388545312183671864919527133440002447374928175411301612356730272802685867163271201937409389128352802632033197<204>
prime factors 素因数
26291241822631182635344295425679574304691592774764190040009177188999325819<74>
30763232305729047171813749488843005992697344518316703396445165329745989546885296908036883512411705558049305457278197977781982441463<131>
factorization results 素因数分解の結果
Number: n
N=808803579795702233242239295907625676114095306948609814333864858556284380683230224195208328601158388545312183671864919527133440002447374928175411301612356730272802685867163271201937409389128352802632033197  ( 204 digits)
SNFS difficulty: 213 digits.
Divisors found:

Sun Aug 16 01:32:39 2020  p74 factor: 26291241822631182635344295425679574304691592774764190040009177188999325819
Sun Aug 16 01:32:39 2020  p131 factor: 30763232305729047171813749488843005992697344518316703396445165329745989546885296908036883512411705558049305457278197977781982441463
Sun Aug 16 01:32:39 2020  elapsed time 04:10:46 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.121).
Factorization parameters were as follows:
#
# N = 10^213+4 = 10(212)4
#
n: 808803579795702233242239295907625676114095306948609814333864858556284380683230224195208328601158388545312183671864919527133440002447374928175411301612356730272802685867163271201937409389128352802632033197
m: 2000000000000000000000000000000000000000000
deg: 5
c5: 125
c0: 16
skew: 0.66
# Murphy_E = 4.442e-12
type: snfs
lss: 1
rlim: 25000000
alim: 25000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 25000000/25000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 52500000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8826990 hash collisions in 59632609 relations (52962467 unique)
Msieve: matrix is 3059638 x 3059865 (1069.8 MB)

Sieving start time: 2020/08/14 23:10:02
Sieving end time  : 2020/08/15 21:21:01

Total sieving time: 22hrs 10min 59secs.

Total relation processing time: 3hrs 47min 14sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 42sec.

Prototype def-par.txt line would be:
snfs,213,5,0,0,0,0,0,0,0,0,25000000,25000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.154206] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283136K/16703460K available (12300K kernel code, 2481K rwdata, 4272K rodata, 2436K init, 2720K bss, 420324K reserved, 0K cma-reserved)
[    0.188728] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.50 BogoMIPS (lpj=11977004)
[    0.186225] smpboot: Total of 16 processors activated (95816.03 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 6, 2020 15:51:46 UTC 2020 年 8 月 7 日 (金) 0 時 51 分 46 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasAugust 6, 2020 16:43:39 UTC 2020 年 8 月 7 日 (金) 1 時 43 分 39 秒 (日本時間)

10214+4

c147

name 名前Eric Jeancolas
date 日付August 21, 2020 08:06:32 UTC 2020 年 8 月 21 日 (金) 17 時 6 分 32 秒 (日本時間)
composite number 合成数
202744539974009769689113204275950352565539290608549180672391532465195619178373538080206918626201400028275226444256404666831623566590008030425427837<147>
prime factors 素因数
125136529633826031656487259607276613141580059761<48>
1620186691825959694522237443248443313473078889853216914852189144265710552350391362739140264924307917<100>
factorization results 素因数分解の結果
202744539974009769689113204275950352565539290608549180672391532465195619178373538080206918626201400028275226444256404666831623566590008030425427837=125136529633826031656487259607276613141580059761*1620186691825959694522237443248443313473078889853216914852189144265710552350391362739140264924307917

n: 202744539974009769689113204275950352565539290608549180672391532465195619178373538080206918626201400028275226444256404666831623566590008030425427837
skew: 437301.831
c0: -4553514627687066314946159065385534
c1: -307106684934362018269122933467
c2: 299943905688962774386434
c3: 1826168979367976612
c4: -1282877315160
c5: -2548800
Y0: -16399168220150514572907019529
Y1: 198742538492281320389
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=3.355e+14) = 1.479e-07
# f(x) = -2548800*x^5-1282877315160*x^4+1826168979367976612*x^3+299943905688962774386434*x^2-307106684934362018269122933467*x-4553514627687066314946159065385534
# g(x) = 198742538492281320389*x-16399168220150514572907019529

Info:Square Root: Factors: 125136529633826031656487259607276613141580059761 1620186691825959694522237443248443313473078889853216914852189144265710552350391362739140264924307917
Info:Square Root: Total cpu/real time for sqrt: 2436.4/799.465
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): 78359/43.450/52.736/57.870/0.892
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 63738/42.660/47.379/53.500/1.284
Info:Polynomial Selection (size optimized): Total time: 41753.1
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6946.07
Info:Polynomial Selection (root optimized): Rootsieve time: 6941.51
Info:Generate Factor Base: Total cpu/real time for makefb: 18.09/4.81157
Info:Generate Free Relations: Total cpu/real time for freerel: 469.81/118.662
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 51430874
Info:Lattice Sieving: Average J: 3824.76 for 1520390 special-q, max bucket fill -bkmult 1.0,1s:1.085780
Info:Lattice Sieving: Total time: 1.531e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 109.92/261.893
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 260.79999999999995s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1066.34/915.485
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 795.6s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 963.78/935.277
Info:Filtering - Merging: Total cpu/real time for merge: 532.93/154.299
Info:Filtering - Merging: Total cpu/real time for replay: 153.59/133.554
Info:Linear Algebra: Total cpu/real time for bwc: 247010/63194.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 40058.74, iteration CPU time 0.33, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (114176 iterations)
Info:Linear Algebra: Lingen CPU time 815.7, WCT time 235.25
Info:Linear Algebra: Mksol: WCT time 22413.26, iteration CPU time 0.37, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (57344 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 142.88/59.5264
Info:Square Root: Total cpu/real time for sqrt: 2436.4/799.465
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.88221e+06/362.393
125136529633826031656487259607276613141580059761 1620186691825959694522237443248443313473078889853216914852189144265710552350391362739140264924307917
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 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 6, 2020 15:52:18 UTC 2020 年 8 月 7 日 (金) 0 時 52 分 18 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasAugust 6, 2020 16:43:16 UTC 2020 年 8 月 7 日 (金) 1 時 43 分 16 秒 (日本時間)

10215+4

c147

name 名前ebina
date 日付September 14, 2021 10:55:43 UTC 2021 年 9 月 14 日 (火) 19 時 55 分 43 秒 (日本時間)
composite number 合成数
375618506862202572783520708814973518730510191438356577509157946351986504713482948013563466621998599978024506850312933517541015350544554599100582167<147>
prime factors 素因数
2052031676495703104300637037965685011069538614083581167492486503<64>
183047128933045545607889084570454593544811271658651252323265054636823843142131527889<84>
factorization results 素因数分解の結果
Number: 1054
N = 375618506862202572783520708814973518730510191438356577509157946351986504713482948013563466621998599978024506850312933517541015350544554599100582167 (147 digits)
SNFS difficulty: 216 digits.
Divisors found:
Version: Msieve v. 1.53 (SVN unknown)
Total time: 270.86 hours.
Factorization parameters were as follows:
n: 375618506862202572783520708814973518730510191438356577509157946351986504713482948013563466621998599978024506850312933517541015350544554599100582167
m: 500000000000000000000000000000000000
c6: 8
c0: 5
type: snfs

Factor base limits: 27900000/27900000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [0, 0)
Total raw relations: 48641343
Relations: 6453404 relations
Pruned matrix : 4330541 x 4330766
Polynomial selection time: 0.00 hours.
Total sieving time: 255.23 hours.
Total relation processing time: 0.52 hours.
Matrix solve time: 14.94 hours.
time per square root: 0.18 hours.
Prototype def-par.txt line would be: snfs,216,6,0,0,0,0,0,0,0,0,27900000,27900000,29,29,58,58,2.6,2.6,100000
total time: 270.86 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 8, speed: 2.19GHz

Tue Mar  7 14:47:13 2017  Msieve v. 1.53 (SVN unknown)
Tue Mar  7 14:47:13 2017  random seeds: f7823ca0 de25dc46
Tue Mar  7 14:47:13 2017  factoring 375618506862202572783520708814973518730510191438356577509157946351986504713482948013563466621998599978024506850312933517541015350544554599100582167 (147 digits)
Tue Mar  7 14:47:13 2017  searching for 15-digit factors
Tue Mar  7 14:47:14 2017  commencing number field sieve (147-digit input)
Tue Mar  7 14:47:14 2017  R0: -500000000000000000000000000000000000
Tue Mar  7 14:47:14 2017  R1: 1
Tue Mar  7 14:47:14 2017  A0: 5
Tue Mar  7 14:47:14 2017  A1: 0
Tue Mar  7 14:47:14 2017  A2: 0
Tue Mar  7 14:47:14 2017  A3: 0
Tue Mar  7 14:47:14 2017  A4: 0
Tue Mar  7 14:47:14 2017  A5: 0
Tue Mar  7 14:47:14 2017  A6: 8
Tue Mar  7 14:47:14 2017  skew 0.92, size 1.281e-10, alpha 0.465, combined = 4.000e-12 rroots = 0
Tue Mar  7 14:47:14 2017  
Tue Mar  7 14:47:14 2017  commencing square root phase
Tue Mar  7 14:47:14 2017  reading relations for dependency 1
Tue Mar  7 14:47:14 2017  read 2164366 cycles
Tue Mar  7 14:47:18 2017  cycles contain 6453404 unique relations
Tue Mar  7 14:48:30 2017  read 6453404 relations
Tue Mar  7 14:49:02 2017  multiplying 6453404 relations
Tue Mar  7 14:53:18 2017  multiply complete, coefficients have about 173.75 million bits
Tue Mar  7 14:53:19 2017  initial square root is modulo 1719433
Tue Mar  7 14:58:13 2017  sqrtTime: 659
Tue Mar  7 14:58:13 2017  p64 factor: 2052031676495703104300637037965685011069538614083581167492486503
Tue Mar  7 14:58:13 2017  p84 factor: 183047128933045545607889084570454593544811271658651252323265054636823843142131527889
Tue Mar  7 14:58:13 2017  elapsed time 00:11:00
Tue Mar 07 14:58:13 2017 -> Computing 1.48887e+09 scale for this machine...
Tue Mar 07 14:58:13 2017 -> procrels -speedtest> PIPE
Tue Mar 07 14:58:16 2017 -> Factorization summary written to s216-1054.txt

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 6, 2020 15:53:40 UTC 2020 年 8 月 7 日 (金) 0 時 53 分 40 秒 (日本時間)
403e60--
4511e644252100Eric JeancolasAugust 6, 2020 16:43:01 UTC 2020 年 8 月 7 日 (金) 1 時 43 分 1 秒 (日本時間)
2325Taiyo KodamaNovember 2, 2020 02:32:32 UTC 2020 年 11 月 2 日 (月) 11 時 32 分 32 秒 (日本時間)
5043e66553Ignacio SantosJune 16, 2021 18:09:56 UTC 2021 年 6 月 17 日 (木) 3 時 9 分 56 秒 (日本時間)

10218+4

c163

name 名前ebina
date 日付February 11, 2022 12:55:45 UTC 2022 年 2 月 11 日 (金) 21 時 55 分 45 秒 (日本時間)
composite number 合成数
2048681848195848687843618840946548440903504767489165752608510434305874939328930289834472479345327288924888499726967251703513573071244891796704031386590052813176613<163>
prime factors 素因数
3583734826093910256239692476684444571888937321485296720971161363221205333<73>
571661115459485128213710688855283577809065078508173957738424226092931083677889181338646161<90>
factorization results 素因数分解の結果
Thu May  9 11:19:31 2019  
Thu May  9 11:19:31 2019  
Thu May  9 11:19:31 2019  Msieve v. 1.53 (SVN unknown)
Thu May  9 11:19:31 2019  random seeds: 76564760 b7b7ef6d
Thu May  9 11:19:31 2019  factoring 2048681848195848687843618840946548440903504767489165752608510434305874939328930289834472479345327288924888499726967251703513573071244891796704031386590052813176613 (163 digits)
Thu May  9 11:19:32 2019  searching for 15-digit factors
Thu May  9 11:19:32 2019  commencing number field sieve (163-digit input)
Thu May  9 11:19:32 2019  R0: -10000000000000000000000000000000000000000000
Thu May  9 11:19:32 2019  R1: 1
Thu May  9 11:19:32 2019  A0: 1
Thu May  9 11:19:32 2019  A1: 0
Thu May  9 11:19:32 2019  A2: 0
Thu May  9 11:19:32 2019  A3: 0
Thu May  9 11:19:32 2019  A4: 0
Thu May  9 11:19:32 2019  A5: 250
Thu May  9 11:19:32 2019  skew 0.33, size 5.590e-15, alpha 0.496, combined = 3.113e-12 rroots = 1
Thu May  9 11:19:32 2019  
Thu May  9 11:19:32 2019  commencing square root phase
Thu May  9 11:19:32 2019  reading relations for dependency 1
Thu May  9 11:19:33 2019  read 2247220 cycles
Thu May  9 11:19:35 2019  cycles contain 6600642 unique relations
Thu May  9 11:20:18 2019  read 6600642 relations
Thu May  9 11:20:38 2019  multiplying 6600642 relations
Thu May  9 11:22:28 2019  multiply complete, coefficients have about 208.23 million bits
Thu May  9 11:22:29 2019  initial square root is modulo 29704721
Thu May  9 11:24:57 2019  sqrtTime: 325
Thu May  9 11:24:57 2019  p73 factor: 3583734826093910256239692476684444571888937321485296720971161363221205333
Thu May  9 11:24:57 2019  p90 factor: 571661115459485128213710688855283577809065078508173957738424226092931083677889181338646161
Thu May  9 11:24:57 2019  elapsed time 00:05:26
Thu May 09 11:24:57 2019 -> Computing 1.55737e+09 scale for this machine...
Thu May 09 11:24:57 2019 -> procrels -speedtest> PIPE
Thu May 09 11:24:58 2019 -> Factorization summary written to s218-1616.txt

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 6, 2020 16:06:03 UTC 2020 年 8 月 7 日 (金) 1 時 6 分 3 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasAugust 6, 2020 16:42:44 UTC 2020 年 8 月 7 日 (金) 1 時 42 分 44 秒 (日本時間)

10219+4

c201

name 名前Erik Branger
date 日付November 3, 2020 08:05:55 UTC 2020 年 11 月 3 日 (火) 17 時 5 分 55 秒 (日本時間)
composite number 合成数
201582333448426538002405389862853840535060948805204317966087086743372110644854442135516604459997773784963617127848834228536574172049428267164242073781108701887703941323611942868142265205934270878184957<201>
prime factors 素因数
1099434582361104516386854904446533301209373379355046432606965925056100839082663078489<85>
183350912080203872981862069129858481793158116131261099281760915708393266025916495886912593605227514908931645806521413<117>
factorization results 素因数分解の結果
Number: 10004_219
N = 201582333448426538002405389862853840535060948805204317966087086743372110644854442135516604459997773784963617127848834228536574172049428267164242073781108701887703941323611942868142265205934270878184957 (201 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=1099434582361104516386854904446533301209373379355046432606965925056100839082663078489 (pp85)
r2=183350912080203872981862069129858481793158116131261099281760915708393266025916495886912593605227514908931645806521413 (pp117)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 52.31 hours.
Factorization parameters were as follows:
n: 201582333448426538002405389862853840535060948805204317966087086743372110644854442135516604459997773784963617127848834228536574172049428267164242073781108701887703941323611942868142265205934270878184957
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 1
c0: 40
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
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 6873032 relations
Pruned matrix : 6014303 x 6014528
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 30.28 hours.
Total relation processing time: 0.35 hours.
Matrix solve time: 21.56 hours.
time per square root: 0.12 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: 52.31 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 8, speed: 3.50GHz
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 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 6, 2020 16:06:46 UTC 2020 年 8 月 7 日 (金) 1 時 6 分 46 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasAugust 6, 2020 16:42:32 UTC 2020 年 8 月 7 日 (金) 1 時 42 分 32 秒 (日本時間)

10226+4

c176

name 名前ebina
date 日付September 3, 2021 13:49:01 UTC 2021 年 9 月 3 日 (金) 22 時 49 分 1 秒 (日本時間)
composite number 合成数
19045173872942235044002759870048850471263033958049460182635436778111996503314657007180114949423155128679248479949295087124736111127114578026916945275848661298695835001847899601<176>
prime factors 素因数
691565963845721515139627538486861640054461975362267556649561<60>
27539200696104444494702559079910736641439591217230040097920633197065271979302347334100830018035589296959882184771641<116>
factorization results 素因数分解の結果
19045173872942235044002759870048850471263033958049460182635436778111996503314657007180114949423155128679248479949295087124736111127114578026916945275848661298695835001847899601 (176 digits)
Thu Apr 25 04:48:46 2019  searching for 15-digit factors
Thu Apr 25 04:48:47 2019  commencing number field sieve (176-digit input)
Thu Apr 25 04:48:47 2019  R0: -1000000000000000000000000000000000000000000000
Thu Apr 25 04:48:47 2019  R1: 1
Thu Apr 25 04:48:47 2019  A0: 2
Thu Apr 25 04:48:47 2019  A1: 0
Thu Apr 25 04:48:47 2019  A2: 0
Thu Apr 25 04:48:47 2019  A3: 0
Thu Apr 25 04:48:47 2019  A4: 0
Thu Apr 25 04:48:47 2019  A5: 5
Thu Apr 25 04:48:47 2019  skew 0.83, size 1.961e-15, alpha 1.104, combined = 1.525e-12 rroots = 1
Thu Apr 25 04:48:47 2019  
Thu Apr 25 04:48:47 2019  commencing square root phase
Thu Apr 25 04:48:47 2019  reading relations for dependency 1
Thu Apr 25 04:48:47 2019  read 4165070 cycles
Thu Apr 25 04:48:52 2019  cycles contain 13686296 unique relations
Thu Apr 25 04:50:17 2019  read 13686296 relations
Thu Apr 25 04:51:01 2019  multiplying 13686296 relations
Thu Apr 25 04:54:44 2019  multiply complete, coefficients have about 367.29 million bits
Thu Apr 25 04:54:45 2019  initial square root is modulo 3893861
Thu Apr 25 04:59:27 2019  GCD is 1, no factor found
Thu Apr 25 04:59:27 2019  reading relations for dependency 2
Thu Apr 25 04:59:28 2019  read 4167221 cycles
Thu Apr 25 04:59:32 2019  cycles contain 13702804 unique relations
Thu Apr 25 05:00:58 2019  read 13702804 relations
Thu Apr 25 05:01:42 2019  multiplying 13702804 relations
Thu Apr 25 05:05:24 2019  multiply complete, coefficients have about 367.74 million bits
Thu Apr 25 05:05:26 2019  initial square root is modulo 3966871
Thu Apr 25 05:10:07 2019  Newton iteration failed to converge
Thu Apr 25 05:10:07 2019  algebraic square root failed
Thu Apr 25 05:10:07 2019  reading relations for dependency 3
Thu Apr 25 05:10:07 2019  read 4165167 cycles
Thu Apr 25 05:10:12 2019  cycles contain 13698018 unique relations
Thu Apr 25 05:11:38 2019  read 13698018 relations
Thu Apr 25 05:12:23 2019  multiplying 13698018 relations
Thu Apr 25 05:16:07 2019  multiply complete, coefficients have about 367.61 million bits
Thu Apr 25 05:16:09 2019  initial square root is modulo 3946051
Thu Apr 25 05:20:53 2019  sqrtTime: 1926
Thu Apr 25 05:20:53 2019  p60 factor: 691565963845721515139627538486861640054461975362267556649561
Thu Apr 25 05:20:53 2019  p116 factor: 27539200696104444494702559079910736641439591217230040097920633197065271979302347334100830018035589296959882184771641
Thu Apr 25 05:20:53 2019  elapsed time 00:32:07
Thu Apr 25 05:20:53 2019 -> Computing 1.55614e+09 scale for this machine...
Thu Apr 25 05:20:53 2019 -> procrels -speedtest> PIPE
Thu Apr 25 05:20:54 2019 -> Factorization summary written to s226-1617.txt
execution environment 実行環境
core i9 9900k  3,6GHz windows 10

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 6, 2020 16:07:15 UTC 2020 年 8 月 7 日 (金) 1 時 7 分 15 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasAugust 6, 2020 16:42:13 UTC 2020 年 8 月 7 日 (金) 1 時 42 分 13 秒 (日本時間)

10227+4

c225

name 名前ebina
date 日付September 3, 2021 13:38:43 UTC 2021 年 9 月 3 日 (金) 22 時 38 分 43 秒 (日本時間)
composite number 合成数
471698113207547169811320754716981132075471698113207547169811320754716981132075471698113207547169811320754716981132075471698113207547169811320754716981132075471698113207547169811320754716981132075471698113207547169811320754717<225>
prime factors 素因数
36068581155787395937841305875961094498721136794527892306498167<62>
13077811715692084977178841511925482916020524599836722814125949614953959521029034366762929314856431716298163353108214761052369533346125842865467383337170649763344651<164>
factorization results 素因数分解の結果
Wed Sep 25 12:52:07 2019  factoring 471698113207547169811320754716981132075471698113207547169811320754716981132075471698113207547169811320754716981132075471698113207547169811320754716981132075471698113207547169811320754716981132075471698113207547169811320754717 (225 digits)
Wed Sep 25 12:52:08 2019  searching for 15-digit factors
Wed Sep 25 12:52:08 2019  commencing number field sieve (225-digit input)
Wed Sep 25 12:52:08 2019  R0: -1000000000000000000000000000000000000000000000
Wed Sep 25 12:52:08 2019  R1: 1
Wed Sep 25 12:52:08 2019  A0: 1
Wed Sep 25 12:52:08 2019  A1: 0
Wed Sep 25 12:52:08 2019  A2: 0
Wed Sep 25 12:52:08 2019  A3: 0
Wed Sep 25 12:52:08 2019  A4: 0
Wed Sep 25 12:52:08 2019  A5: 25
Wed Sep 25 12:52:08 2019  skew 0.53, size 1.884e-15, alpha 0.535, combined = 1.481e-12 rroots = 1
Wed Sep 25 12:52:08 2019  
Wed Sep 25 12:52:08 2019  commencing square root phase
Wed Sep 25 12:52:08 2019  reading relations for dependency 1
Wed Sep 25 12:52:09 2019  read 4190473 cycles
Wed Sep 25 12:52:13 2019  cycles contain 13789348 unique relations
Wed Sep 25 12:53:39 2019  read 13789348 relations
Wed Sep 25 12:54:25 2019  multiplying 13789348 relations
Wed Sep 25 12:58:21 2019  multiply complete, coefficients have about 397.88 million bits
Wed Sep 25 12:58:23 2019  initial square root is modulo 13783061
Wed Sep 25 13:03:23 2019  Newton iteration failed to converge
Wed Sep 25 13:03:23 2019  algebraic square root failed
Wed Sep 25 13:03:23 2019  reading relations for dependency 2
Wed Sep 25 13:03:23 2019  read 4189368 cycles
Wed Sep 25 13:03:28 2019  cycles contain 13790046 unique relations
Wed Sep 25 13:04:53 2019  read 13790046 relations
Wed Sep 25 13:05:39 2019  multiplying 13790046 relations
Wed Sep 25 13:09:36 2019  multiply complete, coefficients have about 397.90 million bits
Wed Sep 25 13:09:37 2019  initial square root is modulo 13793401
Wed Sep 25 13:14:33 2019  sqrtTime: 1345
Wed Sep 25 13:14:33 2019  p62 factor: 36068581155787395937841305875961094498721136794527892306498167
Wed Sep 25 13:14:33 2019  p164 factor: 13077811715692084977178841511925482916020524599836722814125949614953959521029034366762929314856431716298163353108214761052369533346125842865467383337170649763344651
Wed Sep 25 13:14:33 2019  elapsed time 00:22:26
Wed Sep 25 13:14:34 2019 -> Computing 1.56938e+09 scale for this machine...
Wed Sep 25 13:14:34 2019 -> procrels -speedtest> PIPE
Wed Sep 25 13:14:35 2019 -> Factorization summary written to s227-1705.txt
execution environment 実行環境
core i9 9900k windows 10 3.6GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 6, 2020 16:07:39 UTC 2020 年 8 月 7 日 (金) 1 時 7 分 39 秒 (日本時間)
403e62352iveliveAugust 18, 2020 06:04:30 UTC 2020 年 8 月 18 日 (火) 15 時 4 分 30 秒 (日本時間)

10231+4

c193

name 名前ebina
date 日付February 11, 2022 13:02:16 UTC 2022 年 2 月 11 日 (金) 22 時 2 分 16 秒 (日本時間)
composite number 合成数
4129668525244475271574310364375545504702563713474199447674429497122179198061981700502192536743925216763492203078342219761437566817052826053292172452014082744821786507491527530350174993483368731<193>
prime factors 素因数
146352750599553017547776185050004801821667903572925436225781843923321<69>
28217225220071045771640792085532495513169636765483063326041947436800230175984815265996393181309590461148348937263352527388211<125>
factorization results 素因数分解の結果
Mon Jan 18 16:35:41 2021  Msieve v. 1.53 (SVN unknown)
Mon Jan 18 16:35:41 2021  random seeds: 3c17ba70 1a48c3c0
Mon Jan 18 16:35:41 2021  factoring 4129668525244475271574310364375545504702563713474199447674429497122179198061981700502192536743925216763492203078342219761437566817052826053292172452014082744821786507491527530350174993483368731 (193 digits)
Mon Jan 18 16:35:42 2021  searching for 15-digit factors
Mon Jan 18 16:35:43 2021  commencing number field sieve (193-digit input)
Mon Jan 18 16:35:43 2021  R0: -10000000000000000000000000000000000000000000000
Mon Jan 18 16:35:43 2021  R1: 1
Mon Jan 18 16:35:43 2021  A0: 2
Mon Jan 18 16:35:43 2021  A1: 0
Mon Jan 18 16:35:43 2021  A2: 0
Mon Jan 18 16:35:43 2021  A3: 0
Mon Jan 18 16:35:43 2021  A4: 0
Mon Jan 18 16:35:43 2021  A5: 5
Mon Jan 18 16:35:43 2021  skew 0.83, size 9.101e-16, alpha 1.104, combined = 9.210e-13 rroots = 1
Mon Jan 18 16:35:43 2021  
Mon Jan 18 16:35:43 2021  commencing square root phase
Mon Jan 18 16:35:43 2021  reading relations for dependency 1
Mon Jan 18 16:35:45 2021  read 4885401 cycles
Mon Jan 18 16:35:53 2021  cycles contain 15533542 unique relations
Mon Jan 18 16:39:00 2021  read 15533542 relations
Mon Jan 18 16:40:27 2021  multiplying 15533542 relations
Mon Jan 18 16:50:18 2021  multiply complete, coefficients have about 420.37 million bits
Mon Jan 18 16:50:21 2021  initial square root is modulo 34895741
Mon Jan 18 17:02:59 2021  sqrtTime: 1636
Mon Jan 18 17:02:59 2021  p69 factor: 146352750599553017547776185050004801821667903572925436225781843923321
Mon Jan 18 17:02:59 2021  p125 factor: 28217225220071045771640792085532495513169636765483063326041947436800230175984815265996393181309590461148348937263352527388211
Mon Jan 18 17:02:59 2021  elapsed time 00:27:18
Mon Jan 18 17:03:00 2021 -> Computing 1.61096e+09 scale for this machine...
Mon Jan 18 17:03:00 2021 -> procrels -speedtest> PIPE
Mon Jan 18 17:03:03 2021 -> Factorization summary written to s231-1949.txt

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 6, 2020 16:08:02 UTC 2020 年 8 月 7 日 (金) 1 時 8 分 2 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasAugust 25, 2020 15:09:15 UTC 2020 年 8 月 26 日 (水) 0 時 9 分 15 秒 (日本時間)

10233+4

c228

name 名前ebina
date 日付September 14, 2021 23:39:42 UTC 2021 年 9 月 15 日 (水) 8 時 39 分 42 秒 (日本時間)
composite number 合成数
257045620456718658427497712293977935203939995270360583596376684934042093790805992247504087025365261826668997213625474249169742645924798733279182389290451269291273815276735314983703307663044037055696645040561798908070204299859139<228>
prime factors 素因数
856270818653899019082176543136473596951874484473543427989351295442753171<72>
300191965972643279245370888159256545529657250610944319281686211724823906603707317881878918935493932786934839749250684381143785707180383950724741318759118609<156>
factorization results 素因数分解の結果
Number: 2017
N = 257045620456718658427497712293977935203939995270360583596376684934042093790805992247504087025365261826668997213625474249169742645924798733279182389290451269291273815276735314983703307663044037055696645040561798908070204299859139 (228 digits)
SNFS difficulty: 233 digits.
Divisors found:
Version: Msieve v. 1.53 (SVN unknown)
Total time: 1706.64 hours.
Factorization parameters were as follows:
n: 257045620456718658427497712293977935203939995270360583596376684934042093790805992247504087025365261826668997213625474249169742645924798733279182389290451269291273815276735314983703307663044037055696645040561798908070204299859139
m: 10000000000000000000000000000000000000000000000
c5: 250
c0: 1
type: snfs

Factor base limits: 53500000/53500000
Large primes per side: 3
Large prime bits: 30/30
Sieved rational special-q in [0, 0)
Total raw relations: 92796163
Relations: 16550122 relations
Pruned matrix : 10607902 x 10608126
Polynomial selection time: 0.00 hours.
Total sieving time: 1570.06 hours.
Total relation processing time: 1.03 hours.
Matrix solve time: 132.58 hours.
time per square root: 2.96 hours.
Prototype def-par.txt line would be: snfs,233,5,0,0,0,0,0,0,0,0,53500000,53500000,30,30,60,60,2.6,2.6,100000
total time: 1706.64 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 2, speed: 2.99GHz

Tue Mar  9 18:19:38 2021  Msieve v. 1.53 (SVN unknown)
Tue Mar  9 18:19:38 2021  random seeds: a602b4e8 977762e4
Tue Mar  9 18:19:38 2021  factoring 257045620456718658427497712293977935203939995270360583596376684934042093790805992247504087025365261826668997213625474249169742645924798733279182389290451269291273815276735314983703307663044037055696645040561798908070204299859139 (228 digits)
Tue Mar  9 18:19:40 2021  searching for 15-digit factors
Tue Mar  9 18:19:41 2021  commencing number field sieve (228-digit input)
Tue Mar  9 18:19:41 2021  R0: -10000000000000000000000000000000000000000000000
Tue Mar  9 18:19:41 2021  R1: 1
Tue Mar  9 18:19:41 2021  A0: 1
Tue Mar  9 18:19:41 2021  A1: 0
Tue Mar  9 18:19:41 2021  A2: 0
Tue Mar  9 18:19:41 2021  A3: 0
Tue Mar  9 18:19:41 2021  A4: 0
Tue Mar  9 18:19:41 2021  A5: 250
Tue Mar  9 18:19:41 2021  skew 0.33, size 5.590e-16, alpha 0.496, combined = 6.918e-13 rroots = 1
Tue Mar  9 18:19:41 2021  
Tue Mar  9 18:19:41 2021  commencing square root phase
Tue Mar  9 18:19:41 2021  reading relations for dependency 1
Tue Mar  9 18:19:43 2021  read 5307477 cycles
Tue Mar  9 18:19:51 2021  cycles contain 16561060 unique relations
Tue Mar  9 18:22:54 2021  read 16561060 relations
Tue Mar  9 18:24:26 2021  multiplying 16561060 relations
Tue Mar  9 18:35:32 2021  multiply complete, coefficients have about 532.75 million bits
Tue Mar  9 18:35:36 2021  initial square root is modulo 60251
Tue Mar  9 18:49:19 2021  GCD is N, no factor found
Tue Mar  9 18:49:19 2021  reading relations for dependency 2
Tue Mar  9 18:49:27 2021  read 5304435 cycles
Tue Mar  9 18:49:34 2021  cycles contain 16554876 unique relations
Tue Mar  9 18:52:35 2021  read 16554876 relations
Tue Mar  9 18:54:06 2021  multiplying 16554876 relations
Tue Mar  9 19:05:12 2021  multiply complete, coefficients have about 532.55 million bits
Tue Mar  9 19:05:15 2021  initial square root is modulo 59971
Tue Mar  9 19:18:48 2021  GCD is 1, no factor found
Tue Mar  9 19:18:48 2021  reading relations for dependency 3
Tue Mar  9 19:18:56 2021  read 5305219 cycles
Tue Mar  9 19:19:03 2021  cycles contain 16558538 unique relations
Tue Mar  9 19:22:04 2021  read 16558538 relations
Tue Mar  9 19:23:34 2021  multiplying 16558538 relations
Tue Mar  9 19:34:41 2021  multiply complete, coefficients have about 532.67 million bits
Tue Mar  9 19:34:45 2021  initial square root is modulo 60101
Tue Mar  9 19:48:18 2021  GCD is N, no factor found
Tue Mar  9 19:48:18 2021  reading relations for dependency 4
Tue Mar  9 19:48:25 2021  read 5304653 cycles
Tue Mar  9 19:48:33 2021  cycles contain 16551588 unique relations
Tue Mar  9 19:51:33 2021  read 16551588 relations
Tue Mar  9 19:53:04 2021  multiplying 16551588 relations
Tue Mar  9 20:04:10 2021  multiply complete, coefficients have about 532.44 million bits
Tue Mar  9 20:04:14 2021  initial square root is modulo 59921
Tue Mar  9 20:18:03 2021  GCD is N, no factor found
Tue Mar  9 20:18:03 2021  reading relations for dependency 5
Tue Mar  9 20:18:11 2021  read 5303631 cycles
Tue Mar  9 20:18:19 2021  cycles contain 16555908 unique relations
Tue Mar  9 20:21:20 2021  read 16555908 relations
Tue Mar  9 20:22:51 2021  multiplying 16555908 relations
Tue Mar  9 20:33:59 2021  multiply complete, coefficients have about 532.58 million bits
Tue Mar  9 20:34:02 2021  initial square root is modulo 60041
Tue Mar  9 20:47:38 2021  GCD is 1, no factor found
Tue Mar  9 20:47:38 2021  reading relations for dependency 6
Tue Mar  9 20:47:45 2021  read 5304384 cycles
Tue Mar  9 20:47:53 2021  cycles contain 16550122 unique relations
Tue Mar  9 20:50:55 2021  read 16550122 relations
Tue Mar  9 20:52:25 2021  multiplying 16550122 relations
Tue Mar  9 21:03:33 2021  multiply complete, coefficients have about 532.40 million bits
Tue Mar  9 21:03:36 2021  initial square root is modulo 59771
Tue Mar  9 21:17:22 2021  sqrtTime: 10661
Tue Mar  9 21:17:22 2021  p72 factor: 856270818653899019082176543136473596951874484473543427989351295442753171
Tue Mar  9 21:17:22 2021  p156 factor: 300191965972643279245370888159256545529657250610944319281686211724823906603707317881878918935493932786934839749250684381143785707180383950724741318759118609
Tue Mar  9 21:17:22 2021  elapsed time 02:57:44
Tue Mar 09 21:17:23 2021 -> Computing 1.61529e+09 scale for this machine...
Tue Mar 09 21:17:23 2021 -> procrels -speedtest> PIPE
Tue Mar 09 21:17:28 2021 -> Factorization summary written to s233-2017.txt

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 6, 2020 16:08:40 UTC 2020 年 8 月 7 日 (金) 1 時 8 分 40 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasAugust 6, 2020 16:41:39 UTC 2020 年 8 月 7 日 (金) 1 時 41 分 39 秒 (日本時間)

10237+4

c202

name 名前ebina
date 日付September 3, 2021 13:59:46 UTC 2021 年 9 月 3 日 (金) 22 時 59 分 46 秒 (日本時間)
composite number 合成数
3834464676276802191798223744926524439119516960092034131546763659962439872912737535758849154786296230449849303759755124304890941942023722276529048491073215877762356844151256229376503599749506934198151539<202>
prime factors 素因数
5636666665492864638561151946900156489897604086357687036198755788971281718813733630774987101131207<97>
680271675412532193505651764424895555643563542652278078495255258115179309301305384546231561605037710469877<105>
factorization results 素因数分解の結果
Fri Oct 23 11:09:54 2020  
Fri Oct 23 11:09:54 2020  
Fri Oct 23 11:09:54 2020  Msieve v. 1.53 (SVN unknown)
Fri Oct 23 11:09:54 2020  random seeds: d60296c4 f43fd1f0
Fri Oct 23 11:09:54 2020  factoring 3834464676276802191798223744926524439119516960092034131546763659962439872912737535758849154786296230449849303759755124304890941942023722276529048491073215877762356844151256229376503599749506934198151539 (202 digits)
Fri Oct 23 11:09:55 2020  searching for 15-digit factors
Fri Oct 23 11:09:56 2020  commencing number field sieve (202-digit input)
Fri Oct 23 11:09:57 2020  R0: -1000000000000000000000000000000000000000
Fri Oct 23 11:09:57 2020  R1: 1
Fri Oct 23 11:09:58 2020  A0: 1
Fri Oct 23 11:09:58 2020  A1: 0
Fri Oct 23 11:09:58 2020  A2: 0
Fri Oct 23 11:09:58 2020  A3: 0
Fri Oct 23 11:09:58 2020  A4: 0
Fri Oct 23 11:09:58 2020  A5: 0
Fri Oct 23 11:09:58 2020  A6: 250
Fri Oct 23 11:09:58 2020  skew 0.40, size 7.081e-12, alpha 1.661, combined = 5.062e-13 rroots = 0
Fri Oct 23 11:09:58 2020  
Fri Oct 23 11:09:58 2020  commencing square root phase
Fri Oct 23 11:09:58 2020  reading relations for dependency 1
Fri Oct 23 11:10:07 2020  read 4457060 cycles
Fri Oct 23 11:10:14 2020  cycles contain 12818852 unique relations
Fri Oct 23 11:14:54 2020  read 12818852 relations
Fri Oct 23 11:16:27 2020  multiplying 12818852 relations
Fri Oct 23 11:37:13 2020  multiply complete, coefficients have about 421.21 million bits
Fri Oct 23 11:37:17 2020  initial square root is modulo 36132073
Fri Oct 23 12:03:22 2020  GCD is N, no factor found
Fri Oct 23 12:03:22 2020  reading relations for dependency 2
Fri Oct 23 12:03:25 2020  read 4455568 cycles
Fri Oct 23 12:03:35 2020  cycles contain 12815576 unique relations
Fri Oct 23 12:07:40 2020  read 12815576 relations
Fri Oct 23 12:09:18 2020  multiplying 12815576 relations
Fri Oct 23 12:30:07 2020  multiply complete, coefficients have about 421.11 million bits
Fri Oct 23 12:30:11 2020  initial square root is modulo 35981833
Fri Oct 23 12:57:21 2020  GCD is 1, no factor found
Fri Oct 23 12:57:21 2020  reading relations for dependency 3
Fri Oct 23 12:57:25 2020  read 4456721 cycles
Fri Oct 23 12:57:35 2020  cycles contain 12817174 unique relations
Fri Oct 23 13:01:11 2020  read 12817174 relations
Fri Oct 23 13:02:45 2020  multiplying 12817174 relations
Fri Oct 23 13:23:17 2020  multiply complete, coefficients have about 421.15 million bits
Fri Oct 23 13:23:21 2020  initial square root is modulo 36045349
Fri Oct 23 13:49:43 2020  sqrtTime: 9585
Fri Oct 23 13:49:43 2020  p97 factor: 5636666665492864638561151946900156489897604086357687036198755788971281718813733630774987101131207
Fri Oct 23 13:49:43 2020  p105 factor: 680271675412532193505651764424895555643563542652278078495255258115179309301305384546231561605037710469877
Fri Oct 23 13:49:43 2020  elapsed time 02:39:49
Fri Oct 23 13:49:43 2020 -> Computing 1.60343e+09 scale for this machine...
Fri Oct 23 13:49:43 2020 -> procrels -speedtest> PIPE
Fri Oct 23 13:49:50 2020 -> Factorization summary written to s237-1777.txt
execution environment 実行環境
core i9 9900k  3.6GHz windows 10

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 6, 2020 16:09:03 UTC 2020 年 8 月 7 日 (金) 1 時 9 分 3 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasAugust 6, 2020 16:41:05 UTC 2020 年 8 月 7 日 (金) 1 時 41 分 5 秒 (日本時間)

10238+4

c200

name 名前ebina
date 日付August 19, 2021 13:47:33 UTC 2021 年 8 月 19 日 (木) 22 時 47 分 33 秒 (日本時間)
composite number 合成数
91653663136035241782891021212936769085204657267466527072099026009025181812850229113361893815047138509820564048278093255735461701060235686504964263928695384749962650602878116058352128513026573417138241<200>
prime factors 素因数
399607548596724645613801220002406825557238310276584344481019549314333282170374170844733558081<93>
229359188678715751385945781938763755727504063061822975544622819856151949720591273942646484045871857153391361<108>
factorization results 素因数分解の結果
Fri Jul 24 08:59:26 2020  Msieve v. 1.53 (SVN unknown)
Fri Jul 24 08:59:26 2020  random seeds: 416bf300 2ab2d22c
Fri Jul 24 08:59:26 2020  factoring 91653663136035241782891021212936769085204657267466527072099026009025181812850229113361893815047138509820564048278093255735461701060235686504964263928695384749962650602878116058352128513026573417138241 (200 digits)
Fri Jul 24 08:59:27 2020  searching for 15-digit factors
Fri Jul 24 08:59:27 2020  commencing number field sieve (200-digit input)
Fri Jul 24 08:59:27 2020  R0: -100000000000000000000000000000000000000000000000
Fri Jul 24 08:59:27 2020  R1: 1
Fri Jul 24 08:59:27 2020  A0: 1
Fri Jul 24 08:59:27 2020  A1: 0
Fri Jul 24 08:59:27 2020  A2: 0
Fri Jul 24 08:59:27 2020  A3: 0
Fri Jul 24 08:59:27 2020  A4: 0
Fri Jul 24 08:59:27 2020  A5: 250
Fri Jul 24 08:59:27 2020  skew 0.33, size 2.595e-16, alpha 0.496, combined = 4.161e-13 rroots = 1
Fri Jul 24 08:59:27 2020  
Fri Jul 24 08:59:27 2020  commencing linear algebra
Fri Jul 24 08:59:28 2020  read 12022338 cycles
Fri Jul 24 08:59:42 2020  cycles contain 35112705 unique relations
Fri Jul 24 09:03:27 2020  read 35112705 relations
Fri Jul 24 09:04:06 2020  using 20 quadratic characters above 4294917295
Fri Jul 24 09:05:50 2020  building initial matrix
Fri Jul 24 09:09:31 2020  memory use: 4624.6 MB
Fri Jul 24 09:09:37 2020  read 12022338 cycles
Fri Jul 24 09:09:40 2020  matrix is 12022156 x 12022338 (3620.8 MB) with weight 1062448680 (88.37/col)
Fri Jul 24 09:09:40 2020  sparse part has weight 816918077 (67.95/col)
Fri Jul 24 09:10:50 2020  filtering completed in 2 passes
Fri Jul 24 09:10:53 2020  matrix is 12013749 x 12013930 (3620.2 MB) with weight 1062208595 (88.41/col)
Fri Jul 24 09:10:53 2020  sparse part has weight 816851786 (67.99/col)
Fri Jul 24 09:11:11 2020  matrix starts at (0, 0)
Fri Jul 24 09:11:13 2020  matrix is 12013749 x 12013930 (3620.2 MB) with weight 1062208595 (88.41/col)
Fri Jul 24 09:11:13 2020  sparse part has weight 816851786 (67.99/col)
Fri Jul 24 09:11:13 2020  saving the first 48 matrix rows for later
Fri Jul 24 09:11:15 2020  matrix includes 64 packed rows
Fri Jul 24 09:11:17 2020  matrix is 12013701 x 12013930 (3460.3 MB) with weight 846896743 (70.49/col)
Fri Jul 24 09:11:17 2020  sparse part has weight 786956433 (65.50/col)
Fri Jul 24 09:11:17 2020  using block size 8192 and superblock size 1572864 for processor cache size 16384 kB
Fri Jul 24 09:11:51 2020  commencing Lanczos iteration (8 threads)
Fri Jul 24 09:11:51 2020  memory use: 2874.4 MB
Fri Jul 24 09:12:08 2020  linear algebra at 0.0%, ETA 35h15m
Fri Jul 24 09:12:14 2020  checkpointing every 340000 dimensions
Sat Jul 25 22:45:04 2020  lanczos halted after 189985 iterations (dim = 12013697)
Sat Jul 25 22:45:14 2020  recovered 35 nontrivial dependencies
Sat Jul 25 22:45:16 2020  BLanczosTime: 135949
Sat Jul 25 22:45:16 2020  elapsed time 37:45:50
Sat Jul 25 22:45:16 2020 -> Running square root step ...
Sat Jul 25 22:45:16 2020  
Sat Jul 25 22:45:16 2020  
Sat Jul 25 22:45:16 2020  Msieve v. 1.53 (SVN unknown)
Sat Jul 25 22:45:16 2020  random seeds: 66037938 928b429d
Sat Jul 25 22:45:16 2020  factoring 91653663136035241782891021212936769085204657267466527072099026009025181812850229113361893815047138509820564048278093255735461701060235686504964263928695384749962650602878116058352128513026573417138241 (200 digits)
Sat Jul 25 22:45:17 2020  searching for 15-digit factors
Sat Jul 25 22:45:17 2020  commencing number field sieve (200-digit input)
Sat Jul 25 22:45:17 2020  R0: -100000000000000000000000000000000000000000000000
Sat Jul 25 22:45:17 2020  R1: 1
Sat Jul 25 22:45:17 2020  A0: 1
Sat Jul 25 22:45:17 2020  A1: 0
Sat Jul 25 22:45:17 2020  A2: 0
Sat Jul 25 22:45:17 2020  A3: 0
Sat Jul 25 22:45:17 2020  A4: 0
Sat Jul 25 22:45:17 2020  A5: 250
Sat Jul 25 22:45:17 2020  skew 0.33, size 2.595e-16, alpha 0.496, combined = 4.161e-13 rroots = 1
Sat Jul 25 22:45:17 2020  
Sat Jul 25 22:45:17 2020  commencing square root phase
Sat Jul 25 22:45:17 2020  reading relations for dependency 1
Sat Jul 25 22:45:19 2020  read 6006239 cycles
Sat Jul 25 22:45:24 2020  cycles contain 17553256 unique relations
Sat Jul 25 22:47:17 2020  read 17553256 relations
Sat Jul 25 22:48:19 2020  multiplying 17553256 relations
Sat Jul 25 22:54:46 2020  multiply complete, coefficients have about 568.99 million bits
Sat Jul 25 22:54:48 2020  initial square root is modulo 127291
Sat Jul 25 23:02:30 2020  sqrtTime: 1033
Sat Jul 25 23:02:30 2020  p93 factor: 399607548596724645613801220002406825557238310276584344481019549314333282170374170844733558081
Sat Jul 25 23:02:30 2020  p108 factor: 229359188678715751385945781938763755727504063061822975544622819856151949720591273942646484045871857153391361
Sat Jul 25 23:02:30 2020  elapsed time 00:17:14
Sat Jul 25 23:02:30 2020 -> Computing 1.59569e+09 scale for this machine...
Sat Jul 25 23:02:30 2020 -> procrels -speedtest> PIPE
Sat Jul 25 23:02:32 2020 -> Factorization summary written to s238-1873.txt
software ソフトウェア
ggnfs factmsieve.py
execution environment 実行環境
core c9 9900k windows 10

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 6, 2020 16:09:30 UTC 2020 年 8 月 7 日 (金) 1 時 9 分 30 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasAugust 6, 2020 16:40:46 UTC 2020 年 8 月 7 日 (金) 1 時 40 分 46 秒 (日本時間)

10239+4

c220

name 名前ebina
date 日付August 19, 2021 13:32:20 UTC 2021 年 8 月 19 日 (木) 22 時 32 分 20 秒 (日本時間)
composite number 合成数
8717091573811299518140026959493442459179697315361000361891022913642937890718502029150754322094466639529993715283727795362657070687939626767467859719736096983874814434583454798726089815572475880574016912193402344083209333<220>
prime factors 素因数
1259566744700013869874171753611945947343039264667991405335689<61>
8469606587740885254149438485430039532365212152112790383497713178782835800891089<79>
817122528972873853405569140158670737313508293189206567287696599588186978203582973<81>
factorization results 素因数分解の結果
07/18/19 07:47:20 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing nfs on c240: 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000004
07/18/19 07:47:20 v1.34.5 @ DESKTOP-272OUVM, nfs: input divides 10^239 + 4
07/18/19 07:47:20 v1.34.5 @ DESKTOP-272OUVM, nfs: using supplied cofactor: 8717091573811299518140026959493442459179697315361000361891022913642937890718502029150754322094466639529993715283727795362657070687939626767467859719736096983874814434583454798726089815572475880574016912193402344083209333
07/18/19 07:47:20 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing snfs on c220: 8717091573811299518140026959493442459179697315361000361891022913642937890718502029150754322094466639529993715283727795362657070687939626767467859719736096983874814434583454798726089815572475880574016912193402344083209333
07/18/19 07:47:26 v1.34.5 @ DESKTOP-272OUVM, test: fb generation took 6.5924 seconds
07/18/19 07:47:26 v1.34.5 @ DESKTOP-272OUVM, test: commencing test sieving of polynomial 0 on the rational side over range 47200000-47202000
skew: 0.9247
c6: 8
c0: 5
Y1: -1
Y0: 5000000000000000000000000000000000000000
m: 5000000000000000000000000000000000000000
rlim: 47200000
alim: 47200000
mfbr: 60
mfba: 60
lpbr: 30
lpba: 30
rlambda: 2.60
alambda: 2.60
07/18/19 07:50:41 v1.34.5 @ DESKTOP-272OUVM, nfs: parsing special-q from .dat file
07/18/19 07:50:41 v1.34.5 @ DESKTOP-272OUVM, test: new best estimated total sieving time = 6 days 16h 42m 11s (with 16 threads)
07/18/19 07:50:48 v1.34.5 @ DESKTOP-272OUVM, test: fb generation took 6.4048 seconds
07/18/19 07:50:48 v1.34.5 @ DESKTOP-272OUVM, test: commencing test sieving of polynomial 1 on the rational side over range 47200000-47202000
skew: 1.8493
c6: 1
c0: 40
Y1: -1
Y0: 10000000000000000000000000000000000000000
m: 10000000000000000000000000000000000000000
rlim: 47200000
alim: 47200000
mfbr: 60
mfba: 60
lpbr: 30
lpba: 30
rlambda: 2.60
alambda: 2.60
07/18/19 07:54:02 v1.34.5 @ DESKTOP-272OUVM, nfs: parsing special-q from .dat file
07/18/19 07:54:02 v1.34.5 @ DESKTOP-272OUVM, test: estimated total sieving time = 6 days 22h 46m 24s (with 16 threads)
07/18/19 07:54:06 v1.34.5 @ DESKTOP-272OUVM, test: fb generation took 4.1084 seconds
07/18/19 07:54:06 v1.34.5 @ DESKTOP-272OUVM, test: commencing test sieving of polynomial 2 on the rational side over range 47200000-47202000
skew: 1.0456
c5: 4
c0: 5
Y1: -1
Y0: 500000000000000000000000000000000000000000000000
m: 500000000000000000000000000000000000000000000000
rlim: 47200000
alim: 47200000
mfbr: 60
mfba: 60
lpbr: 30
lpba: 30
rlambda: 2.60
alambda: 2.60
07/18/19 07:57:20 v1.34.5 @ DESKTOP-272OUVM, nfs: parsing special-q from .dat file
07/18/19 07:57:20 v1.34.5 @ DESKTOP-272OUVM, test: estimated total sieving time = 7 days 10h 37m 9s (with 16 threads)
07/18/19 07:47:20 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing nfs on c240: 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000004
07/18/19 07:47:20 v1.34.5 @ DESKTOP-272OUVM, nfs: input divides 10^239 + 4
07/18/19 07:47:20 v1.34.5 @ DESKTOP-272OUVM, nfs: using supplied cofactor: 8717091573811299518140026959493442459179697315361000361891022913642937890718502029150754322094466639529993715283727795362657070687939626767467859719736096983874814434583454798726089815572475880574016912193402344083209333
07/18/19 07:47:20 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing snfs on c220: 8717091573811299518140026959493442459179697315361000361891022913642937890718502029150754322094466639529993715283727795362657070687939626767467859719736096983874814434583454798726089815572475880574016912193402344083209333
07/18/19 07:47:26 v1.34.5 @ DESKTOP-272OUVM, test: fb generation took 6.5924 seconds
07/18/19 07:47:26 v1.34.5 @ DESKTOP-272OUVM, test: commencing test sieving of polynomial 0 on the rational side over range 47200000-47202000
skew: 0.9247
c6: 8
c0: 5
Y1: -1
Y0: 5000000000000000000000000000000000000000
m: 5000000000000000000000000000000000000000
rlim: 47200000
alim: 47200000
mfbr: 60
mfba: 60
lpbr: 30
lpba: 30
rlambda: 2.60
alambda: 2.60
07/18/19 07:50:41 v1.34.5 @ DESKTOP-272OUVM, nfs: parsing special-q from .dat file
07/18/19 07:50:41 v1.34.5 @ DESKTOP-272OUVM, test: new best estimated total sieving time = 6 days 16h 42m 11s (with 16 threads)
07/18/19 07:50:48 v1.34.5 @ DESKTOP-272OUVM, test: fb generation took 6.4048 seconds
07/18/19 07:50:48 v1.34.5 @ DESKTOP-272OUVM, test: commencing test sieving of polynomial 1 on the rational side over range 47200000-47202000
skew: 1.8493
c6: 1
c0: 40
Y1: -1
Y0: 10000000000000000000000000000000000000000
m: 10000000000000000000000000000000000000000
rlim: 47200000
alim: 47200000
mfbr: 60
mfba: 60
lpbr: 30
lpba: 30
rlambda: 2.60
alambda: 2.60
07/18/19 07:54:02 v1.34.5 @ DESKTOP-272OUVM, nfs: parsing special-q from .dat file
07/18/19 07:54:02 v1.34.5 @ DESKTOP-272OUVM, test: estimated total sieving time = 6 days 22h 46m 24s (with 16 threads)
07/18/19 07:54:06 v1.34.5 @ DESKTOP-272OUVM, test: fb generation took 4.1084 seconds
07/18/19 07:54:06 v1.34.5 @ DESKTOP-272OUVM, test: commencing test sieving of polynomial 2 on the rational side over range 47200000-47202000
skew: 1.0456
c5: 4
c0: 5
Y1: -1
Y0: 500000000000000000000000000000000000000000000000
m: 500000000000000000000000000000000000000000000000
rlim: 47200000
alim: 47200000
mfbr: 60
mfba: 60
lpbr: 30
lpba: 30
rlambda: 2.60
alambda: 2.60
07/18/19 07:57:20 v1.34.5 @ DESKTOP-272OUVM, nfs: parsing special-q from .dat file
07/18/19 07:57:20 v1.34.5 @ DESKTOP-272OUVM, test: estimated total sieving time = 7 days 10h 37m 9s (with 16 threads)
07/28/19 23:35:51 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing msieve filtering
07/28/19 23:57:49 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing msieve linear algebra
08/01/19 10:38:32 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing msieve sqrt
08/01/19 10:58:42 v1.34.5 @ DESKTOP-272OUVM, prp79 = 8469606587740885254149438485430039532365212152112790383497713178782835800891089
08/01/19 10:58:42 v1.34.5 @ DESKTOP-272OUVM, C142 = 1029220363839405487524457489575953069882586059024760126413601893447851948429435112529473889474906574706383028441776601012926536694529629623397
08/01/19 10:58:43 v1.34.5 @ DESKTOP-272OUVM, NFS elapsed time = 1221083.4001 seconds.
Number: 142
N=1029220363839405487524457489575953069882586059024760126413601893447851948429435112529473889474906574706383028441776601012926536694529629623397
  ( 142 digits)
Divisors found:
Version: Msieve v. 1.53 (SVN unknown)
Total time: 222.77 hours.
Scaled time: 1072.62 units (timescale=4.815).
Factorization parameters were as follows:
n: 1029220363839405487524457489575953069882586059024760126413601893447851948429435112529473889474906574706383028441776601012926536694529629623397
Y0: -3031492273393287534302037768
Y1: 34449046161649
c0: -1165530399977260153402969308062267
c1: 16076013867309983326680354726
c2: 62029583485312209292328
c3: -22509044353373426
c4: -8878645381
c5: 4020
skew: 1524000.90
type: gnfs
Factor base limits: 13600000/13600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved algebraic special-q in [6800000, 13700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2271772 x 2272000
Total sieving time: 214.69 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 7.61 hours.
Time per square root: 0.25 hours.
Prototype def-par.txt line would be:
gnfs,141,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,13600000,13600000,28,28,56,56,2.5,2.5,100000
total time: 222.77 hours.
 --------- CPU info (if available) ----------
Mon Nov  4 16:23:59 2019  Msieve v. 1.53 (SVN unknown)
Mon Nov  4 16:23:59 2019  random seeds: 65204ae4 ce3b5011
Mon Nov  4 16:23:59 2019  factoring 1029220363839405487524457489575953069882586059024760126413601893447851948429435112529473889474906574706383028441776601012926536694529629623397 (142 digits)
Mon Nov  4 16:23:59 2019  searching for 15-digit factors
Mon Nov  4 16:24:00 2019  commencing number field sieve (142-digit input)
Mon Nov  4 16:24:00 2019  R0: -3031492273393287534302037768
Mon Nov  4 16:24:00 2019  R1: 34449046161649
Mon Nov  4 16:24:00 2019  A0: -1165530399977260153402969308062267
Mon Nov  4 16:24:00 2019  A1: 16076013867309983326680354726
Mon Nov  4 16:24:00 2019  A2: 62029583485312209292328
Mon Nov  4 16:24:00 2019  A3: -22509044353373426
Mon Nov  4 16:24:00 2019  A4: -8878645381
Mon Nov  4 16:24:00 2019  A5: 4020
Mon Nov  4 16:24:00 2019  skew 1524000.90, size 1.154e-13, alpha -5.718, combined = 1.827e-11 rroots = 3
Mon Nov  4 16:24:00 2019  
Mon Nov  4 16:24:00 2019  commencing square root phase
Mon Nov  4 16:24:00 2019  reading relations for dependency 1
Mon Nov  4 16:24:00 2019  read 1136356 cycles
Mon Nov  4 16:24:02 2019  cycles contain 3765864 unique relations
Mon Nov  4 16:24:39 2019  read 3765864 relations
Mon Nov  4 16:24:54 2019  multiplying 3765864 relations
Mon Nov  4 16:27:45 2019  multiply complete, coefficients have about 172.68 million bits
Mon Nov  4 16:27:47 2019  initial square root is modulo 1574129
Mon Nov  4 16:31:26 2019  GCD is 1, no factor found
Mon Nov  4 16:31:26 2019  reading relations for dependency 2
Mon Nov  4 16:31:26 2019  read 1136010 cycles
Mon Nov  4 16:31:28 2019  cycles contain 3766086 unique relations
Mon Nov  4 16:32:05 2019  read 3766086 relations
Mon Nov  4 16:32:20 2019  multiplying 3766086 relations
Mon Nov  4 16:35:11 2019  multiply complete, coefficients have about 172.69 million bits
Mon Nov  4 16:35:13 2019  initial square root is modulo 1575583
Mon Nov  4 16:38:51 2019  sqrtTime: 891
Mon Nov  4 16:38:51 2019  p61 factor: 1259566744700013869874171753611945947343039264667991405335689
Mon Nov  4 16:38:51 2019  p81 factor: 817122528972873853405569140158670737313508293189206567287696599588186978203582973
Mon Nov  4 16:38:51 2019  elapsed time 00:14:52
execution environment 実行環境
core i7 2600, 3,4GHz,windows 7

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 6, 2020 16:40:11 UTC 2020 年 8 月 7 日 (金) 1 時 40 分 11 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasAugust 6, 2020 16:40:26 UTC 2020 年 8 月 7 日 (金) 1 時 40 分 26 秒 (日本時間)

10242+4

c189

name 名前ebina
date 日付September 12, 2021 06:16:54 UTC 2021 年 9 月 12 日 (日) 15 時 16 分 54 秒 (日本時間)
composite number 合成数
149451292171229072614934896263802399578822102505546337146558971358349003283407786606233836460125346287857517607354601971090036515142172088384621698438029424761531547585579673695643724417849<189>
prime factors 素因数
5892614649239341554457731983185255271328486982393973<52>
25362475075562806992820583913719059739955816004239835197192376011227731131674268070948308070651257635186663193863270182756261270098159413<137>
factorization results 素因数分解の結果
Number: 2208
N = 149451292171229072614934896263802399578822102505546337146558971358349003283407786606233836460125346287857517607354601971090036515142172088384621698438029424761531547585579673695643724417849 (189 digits)
SNFS difficulty: 242 digits.
Divisors found:
Version: Msieve v. 1.53 (SVN unknown)
Total time: 732.16 hours.
Factorization parameters were as follows:
n: 149451292171229072614934896263802399578822102505546337146558971358349003283407786606233836460125346287857517607354601971090036515142172088384621698438029424761531547585579673695643724417849
m: 10000000000000000000000000000000000000000
c6: 25
c0: 1
type: snfs

Factor base limits: 75600000/75600000
Large primes per side: 3
Large prime bits: 30/30
Sieved rational special-q in [0, 0)
Total raw relations: 114195128
Relations: 11658084 relations
Pruned matrix : 8722392 x 8722617
Polynomial selection time: 0.00 hours.
Total sieving time: 714.23 hours.
Total relation processing time: 0.66 hours.
Matrix solve time: 17.06 hours.
time per square root: 0.21 hours.
Prototype def-par.txt line would be: snfs,242,6,0,0,0,0,0,0,0,0,75600000,75600000,30,30,60,60,2.6,2.6,100000
total time: 732.16 hours.
Intel64 Family 6 Model 158 Stepping 12, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 16, speed: 3.60GHz

Sun Sep 12 14:55:15 2021  Msieve v. 1.53 (SVN unknown)
Sun Sep 12 14:55:15 2021  random seeds: 38a80ea8 f986186b
Sun Sep 12 14:55:15 2021  factoring 149451292171229072614934896263802399578822102505546337146558971358349003283407786606233836460125346287857517607354601971090036515142172088384621698438029424761531547585579673695643724417849 (189 digits)
Sun Sep 12 14:55:15 2021  searching for 15-digit factors
Sun Sep 12 14:55:16 2021  commencing number field sieve (189-digit input)
Sun Sep 12 14:55:16 2021  R0: -10000000000000000000000000000000000000000
Sun Sep 12 14:55:16 2021  R1: 1
Sun Sep 12 14:55:16 2021  A0: 1
Sun Sep 12 14:55:16 2021  A1: 0
Sun Sep 12 14:55:16 2021  A2: 0
Sun Sep 12 14:55:16 2021  A3: 0
Sun Sep 12 14:55:16 2021  A4: 0
Sun Sep 12 14:55:16 2021  A5: 0
Sun Sep 12 14:55:16 2021  A6: 25
Sun Sep 12 14:55:16 2021  skew 0.58, size 5.840e-12, alpha 1.376, combined = 4.334e-13 rroots = 0
Sun Sep 12 14:55:16 2021  
Sun Sep 12 14:55:16 2021  commencing square root phase
Sun Sep 12 14:55:16 2021  reading relations for dependency 1
Sun Sep 12 14:55:17 2021  read 4361648 cycles
Sun Sep 12 14:55:21 2021  cycles contain 11658084 unique relations
Sun Sep 12 14:56:47 2021  read 11658084 relations
Sun Sep 12 14:57:28 2021  multiplying 11658084 relations
Sun Sep 12 15:02:20 2021  multiply complete, coefficients have about 349.28 million bits
Sun Sep 12 15:02:22 2021  initial square root is modulo 1850491
Sun Sep 12 15:07:49 2021  sqrtTime: 753
Sun Sep 12 15:07:49 2021  p52 factor: 5892614649239341554457731983185255271328486982393973
Sun Sep 12 15:07:49 2021  p137 factor: 25362475075562806992820583913719059739955816004239835197192376011227731131674268070948308070651257635186663193863270182756261270098159413
Sun Sep 12 15:07:49 2021  elapsed time 00:12:34
Sun Sep 12 15:07:49 2021 -> Computing 1.63143e+09 scale for this machine...
Sun Sep 12 15:07:49 2021 -> procrels -speedtest> PIPE
Sun Sep 12 15:07:51 2021 -> Factorization summary written to s242-2208.txt

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 6, 2020 16:30:59 UTC 2020 年 8 月 7 日 (金) 1 時 30 分 59 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasAugust 6, 2020 16:31:15 UTC 2020 年 8 月 7 日 (金) 1 時 31 分 15 秒 (日本時間)

10243+4

c236

name 名前ebina
date 日付August 19, 2021 13:00:56 UTC 2021 年 8 月 19 日 (木) 22 時 0 分 56 秒 (日本時間)
composite number 合成数
28661550312428095335653696015826678790120294819585285710371365414474105837016438086981385010949285450353780980126424951966107831401755026977970847076069015637397911857019677988628701882846027744151410027896860150092513752098455406124423<236>
prime factors 素因数
4952218431266011169287178577617715395025198608362524856270535953451<67>
5787618359374529012669985645894173863879562597786608831865606036858911367114943144291244782978401913147961380596230725236519999412220866476810129457506562349725522647573<169>
factorization results 素因数分解の結果
Tue Apr  9 18:42:38 2019  Msieve v. 1.53 (SVN unknown)
Tue Apr  9 18:42:38 2019  random seeds: 096c7cd8 12735c3b
Tue Apr  9 18:42:38 2019  factoring 28661550312428095335653696015826678790120294819585285710371365414474105837016438086981385010949285450353780980126424951966107831401755026977970847076069015637397911857019677988628701882846027744151410027896860150092513752098455406124423 (236 digits)
Tue Apr  9 18:42:39 2019  searching for 15-digit factors
Tue Apr  9 18:42:40 2019  commencing number field sieve (236-digit input)
Tue Apr  9 18:42:40 2019  R0: -10000000000000000000000000000000000000000
Tue Apr  9 18:42:40 2019  R1: 1
Tue Apr  9 18:42:40 2019  A0: 1
Tue Apr  9 18:42:40 2019  A1: 0
Tue Apr  9 18:42:40 2019  A2: 0
Tue Apr  9 18:42:40 2019  A3: 0
Tue Apr  9 18:42:40 2019  A4: 0
Tue Apr  9 18:42:40 2019  A5: 0
Tue Apr  9 18:42:40 2019  A6: 250
Tue Apr  9 18:42:40 2019  skew 0.40, size 3.668e-12, alpha 1.661, combined = 3.126e-13 rroots = 0
Tue Apr  9 18:42:40 2019  
Tue Apr  9 18:42:40 2019  commencing linear algebra
Tue Apr  9 18:42:41 2019  read 9538910 cycles
Tue Apr  9 18:42:50 2019  cycles contain 24988368 unique relations
Tue Apr  9 18:45:33 2019  read 24988368 relations
Tue Apr  9 18:46:01 2019  using 20 quadratic characters above 4294917295
Tue Apr  9 18:47:14 2019  building initial matrix
Tue Apr  9 18:50:04 2019  memory use: 3286.7 MB
Tue Apr  9 18:50:08 2019  read 9538910 cycles
Tue Apr  9 18:50:10 2019  matrix is 9538733 x 9538910 (2819.6 MB) with weight 826632556 (86.66/col)
Tue Apr  9 18:50:10 2019  sparse part has weight 643740171 (67.49/col)
Tue Apr  9 18:51:05 2019  filtering completed in 2 passes
Tue Apr  9 18:51:07 2019  matrix is 9537471 x 9537647 (2819.5 MB) with weight 826599577 (86.67/col)
Tue Apr  9 18:51:07 2019  sparse part has weight 643730651 (67.49/col)
Tue Apr  9 18:51:19 2019  matrix starts at (0, 0)
Tue Apr  9 18:51:21 2019  matrix is 9537471 x 9537647 (2819.5 MB) with weight 826599577 (86.67/col)
Tue Apr  9 18:51:21 2019  sparse part has weight 643730651 (67.49/col)
Tue Apr  9 18:51:21 2019  saving the first 48 matrix rows for later
Tue Apr  9 18:51:23 2019  matrix includes 64 packed rows
Tue Apr  9 18:51:24 2019  matrix is 9537423 x 9537647 (2711.3 MB) with weight 659921456 (69.19/col)
Tue Apr  9 18:51:24 2019  sparse part has weight 615380641 (64.52/col)
Tue Apr  9 18:51:24 2019  using block size 8192 and superblock size 1572864 for processor cache size 16384 kB
Tue Apr  9 18:51:49 2019  commencing Lanczos iteration (16 threads)
Tue Apr  9 18:51:49 2019  memory use: 2255.6 MB
Tue Apr  9 18:52:01 2019  linear algebra at 0.0%, ETA 20h52m
Tue Apr  9 18:52:05 2019  checkpointing every 460000 dimensions
Wed Apr 10 15:33:20 2019  lanczos halted after 150828 iterations (dim = 9537421)
Wed Apr 10 15:33:28 2019  recovered 36 nontrivial dependencies
Wed Apr 10 15:33:29 2019  BLanczosTime: 75049
Wed Apr 10 15:33:29 2019  elapsed time 20:50:51
Wed Apr 10 15:33:30 2019 -> Running square root step ...
Wed Apr 10 15:33:30 2019  
Wed Apr 10 15:33:30 2019  
Wed Apr 10 15:33:30 2019  Msieve v. 1.53 (SVN unknown)
Wed Apr 10 15:33:30 2019  random seeds: 5288c300 1b56eb00
Wed Apr 10 15:33:30 2019  factoring 28661550312428095335653696015826678790120294819585285710371365414474105837016438086981385010949285450353780980126424951966107831401755026977970847076069015637397911857019677988628701882846027744151410027896860150092513752098455406124423 (236 digits)
Wed Apr 10 15:33:30 2019  searching for 15-digit factors
Wed Apr 10 15:33:31 2019  commencing number field sieve (236-digit input)
Wed Apr 10 15:33:31 2019  R0: -10000000000000000000000000000000000000000
Wed Apr 10 15:33:31 2019  R1: 1
Wed Apr 10 15:33:31 2019  A0: 1
Wed Apr 10 15:33:31 2019  A1: 0
Wed Apr 10 15:33:31 2019  A2: 0
Wed Apr 10 15:33:31 2019  A3: 0
Wed Apr 10 15:33:31 2019  A4: 0
Wed Apr 10 15:33:31 2019  A5: 0
Wed Apr 10 15:33:31 2019  A6: 250
Wed Apr 10 15:33:31 2019  skew 0.40, size 3.668e-12, alpha 1.661, combined = 3.126e-13 rroots = 0
Wed Apr 10 15:33:31 2019  
Wed Apr 10 15:33:31 2019  commencing square root phase
Wed Apr 10 15:33:31 2019  reading relations for dependency 1
Wed Apr 10 15:33:32 2019  read 4771154 cycles
Wed Apr 10 15:33:36 2019  cycles contain 12497826 unique relations
Wed Apr 10 15:35:03 2019  read 12497826 relations
Wed Apr 10 15:35:48 2019  multiplying 12497826 relations
Wed Apr 10 15:41:27 2019  multiply complete, coefficients have about 413.85 million bits
Wed Apr 10 15:41:29 2019  initial square root is modulo 26655193
Wed Apr 10 15:48:17 2019  sqrtTime: 886
Wed Apr 10 15:48:17 2019  p67 factor: 4952218431266011169287178577617715395025198608362524856270535953451
Wed Apr 10 15:48:17 2019  p169 factor: 5787618359374529012669985645894173863879562597786608831865606036858911367114943144291244782978401913147961380596230725236519999412220866476810129457506562349725522647573
Wed Apr 10 15:48:17 2019  elapsed time 00:14:47
Wed Apr 10 15:48:17 2019 -> Computing 1.55488e+09 scale for this machine...
Wed Apr 10 15:48:17 2019 -> procrels -speedtest> PIPE
Wed Apr 10 15:48:19 2019 -> Factorization summary written to s243-1553.txt
execution environment 実行環境
core i9 9900k,3.6GHz,windows 10

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 6, 2020 16:09:44 UTC 2020 年 8 月 7 日 (金) 1 時 9 分 44 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasAugust 6, 2020 16:30:25 UTC 2020 年 8 月 7 日 (金) 1 時 30 分 25 秒 (日本時間)

10246+4

c208

name 名前ebina
date 日付September 14, 2021 14:13:27 UTC 2021 年 9 月 14 日 (火) 23 時 13 分 27 秒 (日本時間)
composite number 合成数
4857049537932533025818710859633786753807064981626946140261524016710263135856514483395002282938892589680306298414881398081031445786588950326908520538852858747609529842593322996692454413473242024163596384027877<208>
prime factors 素因数
3184945525966241101366799927121580949288747478637<49>
1694100901911906502066613262599319775417879455220073976603181281856417597<73>
900183919332444161599605377734373064337915634837784882226986640567417362603551387734093<87>
factorization results 素因数分解の結果
Z:\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 2:12889205333767116437 2e8      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 4857049537932533025818710859633786753807064981626946140261524016710263135856514483395002282938892589680306298414881398081031445786588950326908520538852858747609529842593322996692454413473242024163596384027877 (208 digits)
Using B1=200000000, B2=2383901369866, polynomial Dickson(30), sigma=2:12889205333767116437
Step 1 took 860875ms
Step 2 took 357281ms
********** Factor found in step 2: 3184945525966241101366799927121580949288747478637
Found probable prime factor of 49 digits: 3184945525966241101366799927121580949288747478637
Composite cofactor 1525002389627688541793144589985042603961246474766168629642892975356122386438221903047556990005321521851099914410577394866594012280976392643557046262380202034521 has 160 digits

Number: 160
N = 1525002389627688541793144589985042603961246474766168629642892975356122386438221903047556990005321521851099914410577394866594012280976392643557046262380202034521 (160 digits)
Divisors found:
Version: Msieve v. 1.53 (SVN unknown)
Total time: 730.49 hours.
Factorization parameters were as follows:
n: 1525002389627688541793144589985042603961246474766168629642892975356122386438221903047556990005321521851099914410577394866594012280976392643557046262380202034521
Y0: -8597108820954772415560620714336
Y1: 285622309306042439
c0: -1095187191286020620442091450787957205025
c1: 935037029885470127385585811956507
c2: 233480732490516631770838571
c3: -13553156546893076451
c4: -1427169629914
c5: 32472
skew: 12552753.57
type: gnfs
Factor base limits: 35400000/35400000
Large primes per side: 3
Large prime bits: 29/29
Sieved algebraic special-q in [0, 0)
Total raw relations: 80000258
Relations: 4464688 relations
Pruned matrix : 3584998 x 3585230
Polynomial selection time: 310.56 hours.
Total sieving time: 415.92 hours.
Total relation processing time: 0.50 hours.
Matrix solve time: 3.25 hours.
time per square root: 0.26 hours.
Prototype def-par.txt line would be: gnfs,159,5,65,2000,1e-05,0.28,250,20,50000,3600,35400000,35400000,29,29,58,58,2.6,2.6,100000
total time: 730.49 hours.
Intel64 Family 6 Model 158 Stepping 12, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 16, speed: 3.60GHz

Sun Jun 28 15:42:03 2020  Msieve v. 1.53 (SVN unknown)
Sun Jun 28 15:42:03 2020  random seeds: 5cd98bf0 0a05e0ab
Sun Jun 28 15:42:03 2020  factoring 1525002389627688541793144589985042603961246474766168629642892975356122386438221903047556990005321521851099914410577394866594012280976392643557046262380202034521 (160 digits)
Sun Jun 28 15:42:04 2020  searching for 15-digit factors
Sun Jun 28 15:42:04 2020  commencing number field sieve (160-digit input)
Sun Jun 28 15:42:04 2020  R0: -8597108820954772415560620714336
Sun Jun 28 15:42:04 2020  R1: 285622309306042439
Sun Jun 28 15:42:04 2020  A0: -1095187191286020620442091450787957205025
Sun Jun 28 15:42:04 2020  A1: 935037029885470127385585811956507
Sun Jun 28 15:42:04 2020  A2: 233480732490516631770838571
Sun Jun 28 15:42:04 2020  A3: -13553156546893076451
Sun Jun 28 15:42:04 2020  A4: -1427169629914
Sun Jun 28 15:42:04 2020  A5: 32472
Sun Jun 28 15:42:04 2020  skew 12552753.57, size 1.818e-15, alpha -7.383, combined = 1.626e-12 rroots = 5
Sun Jun 28 15:42:04 2020  
Sun Jun 28 15:42:04 2020  commencing square root phase
Sun Jun 28 15:42:04 2020  reading relations for dependency 1
Sun Jun 28 15:42:05 2020  read 1791911 cycles
Sun Jun 28 15:42:06 2020  cycles contain 4463752 unique relations
Sun Jun 28 15:42:56 2020  read 4463752 relations
Sun Jun 28 15:43:15 2020  multiplying 4463752 relations
Sun Jun 28 15:46:14 2020  multiply complete, coefficients have about 236.00 million bits
Sun Jun 28 15:46:15 2020  initial square root is modulo 294645499
Sun Jun 28 15:50:14 2020  GCD is N, no factor found
Sun Jun 28 15:50:14 2020  reading relations for dependency 2
Sun Jun 28 15:50:14 2020  read 1792999 cycles
Sun Jun 28 15:50:16 2020  cycles contain 4464688 unique relations
Sun Jun 28 15:51:04 2020  read 4464688 relations
Sun Jun 28 15:51:23 2020  multiplying 4464688 relations
Sun Jun 28 15:54:15 2020  multiply complete, coefficients have about 236.04 million bits
Sun Jun 28 15:54:17 2020  initial square root is modulo 295765727
Sun Jun 28 15:57:31 2020  sqrtTime: 927
Sun Jun 28 15:57:31 2020  p73 factor: 1694100901911906502066613262599319775417879455220073976603181281856417597
Sun Jun 28 15:57:31 2020  p87 factor: 900183919332444161599605377734373064337915634837784882226986640567417362603551387734093
Sun Jun 28 15:57:31 2020  elapsed time 00:15:28
Sun Jun 28 15:57:31 2020 -> Computing 1.59333e+09 scale for this machine...
Sun Jun 28 15:57:31 2020 -> procrels -speedtest> PIPE
Sun Jun 28 15:57:33 2020 -> Factorization summary written to g160-160.txt

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 6, 2020 16:29:45 UTC 2020 年 8 月 7 日 (金) 1 時 29 分 45 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasAugust 6, 2020 16:30:06 UTC 2020 年 8 月 7 日 (金) 1 時 30 分 6 秒 (日本時間)

10247+4

c199

name 名前ebina
date 日付December 22, 2022 23:13:57 UTC 2022 年 12 月 23 日 (金) 8 時 13 分 57 秒 (日本時間)
composite number 合成数
2239183432129459873318179926894882429127689168355519072008131584136797180369618469012368723801311025013384331719063855871752843589965426526017512943864810722774271512684880213735630140155105675434939<199>
prime factors 素因数
8793243827216729940607058113455805715162636798897689<52>
254648168085453226335665387408279256527942491122500061564590898062177267783686130730903753796505885062613380764020651404383170331615215767197035251<147>
factorization results 素因数分解の結果
Number: 10004_247
N = 2239183432129459873318179926894882429127689168355519072008131584136797180369618469012368723801311025013384331719063855871752843589965426526017512943864810722774271512684880213735630140155105675434939 (199 digits)
SNFS difficulty: 247 digits.
Divisors found:
r1=8793243827216729940607058113455805715162636798897689 (pp52)
r2=254648168085453226335665387408279256527942491122500061564590898062177267783686130730903753796505885062613380764020651404383170331615215767197035251 (pp147)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 1631.92 hours.
Factorization parameters were as follows:
n: 2239183432129459873318179926894882429127689168355519072008131584136797180369618469012368723801311025013384331719063855871752843589965426526017512943864810722774271512684880213735630140155105675434939
m: 100000000000000000000000000000000000000000
c6: 5
c0: 2
type: snfs

Factor base limits: 91600000/91600000
Large primes per side: 3
Large prime bits: 30/30
Sieved rational special-q in [0, 0)
Total raw relations: 134577731
Relations: 10823572 relations
Pruned matrix : 8546510 x 8546735
Total sieving time: 1602.77 hours.
Total relation processing time: 1.31 hours.
Matrix solve time: 27.48 hours.
time per square root: 0.35 hours.
Prototype def-par.txt line would be: snfs,247,6,0,0,0,0,0,0,0,0,91600000,91600000,30,30,60,60,2.6,2.6,100000
total time: 1631.92 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 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 6, 2020 16:10:30 UTC 2020 年 8 月 7 日 (金) 1 時 10 分 30 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasAugust 6, 2020 16:29:30 UTC 2020 年 8 月 7 日 (金) 1 時 29 分 30 秒 (日本時間)

10251+4

c188

composite cofactor 合成数の残り
83531826369700612895940080405460371720771348443458787840251249762117201081546076621357333004684262890093716949422015184375855038343861077244821016426841424332209497420576313899739320894463<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 6, 2020 16:10:56 UTC 2020 年 8 月 7 日 (金) 1 時 10 分 56 秒 (日本時間)
403e60--
4511e645002100Eric JeancolasAugust 6, 2020 16:29:10 UTC 2020 年 8 月 7 日 (金) 1 時 29 分 10 秒 (日本時間)
2400Thomas KozlowskiSeptember 24, 2024 23:06:37 UTC 2024 年 9 月 25 日 (水) 8 時 6 分 37 秒 (日本時間)

10258+4

c207

name 名前Thomas Kozlowski
date 日付September 24, 2024 23:39:28 UTC 2024 年 9 月 25 日 (水) 8 時 39 分 28 秒 (日本時間)
composite number 合成数
116181989675569759327813022609653434415273801216799971480754204629267485230286018905004750523564050192033790189176861652209564858663072912614946232428107115056580201609985883445789712540927373807366123885797<207>
prime factors 素因数
6017287000683015266819464202445725701812853<43>
composite cofactor 合成数の残り
19308035276094039799323519859828117605655802953153845931409376220531810003509816679446526514315451088188491432755608412217726979005413508480970389576150189783952049<164>
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 116181989675569759327813022609653434415273801216799971480754204629267485230286018905004750523564050192033790189176861652209564858663072912614946232428107115056580201609985883445789712540927373807366123885797 (207 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1201520104
Step 1 took 34818ms
Step 2 took 13128ms
Run 2 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1434699600
Step 1 took 33017ms
Step 2 took 13079ms
Run 3 out of 0:
...
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2103352851
Step 1 took 33009ms
Step 2 took 13085ms
Run 41 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2298485650
Step 1 took 32851ms
Step 2 took 13115ms
** Factor found in step 2: 6017287000683015266819464202445725701812853
Found prime factor of 43 digits: 6017287000683015266819464202445725701812853
Composite cofactor 19308035276094039799323519859828117605655802953153845931409376220531810003509816679446526514315451088188491432755608412217726979005413508480970389576150189783952049 has 164 digits
execution environment 実行環境
2x Xeon E5-2698v4, 128GB DDR4, Ubuntu Server 24.04

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 6, 2020 16:11:12 UTC 2020 年 8 月 7 日 (金) 1 時 11 分 12 秒 (日本時間)
403e60--
4511e665802100Eric JeancolasAugust 6, 2020 16:28:34 UTC 2020 年 8 月 7 日 (金) 1 時 28 分 34 秒 (日本時間)
4480Ignacio SantosSeptember 28, 2024 07:47:51 UTC 2024 年 9 月 28 日 (土) 16 時 47 分 51 秒 (日本時間)

10262+4

c199

composite cofactor 合成数の残り
2637264368328132079956791644824228802457238420722946503781576937503464777625128933846341962319659427317455331472316382534766461029730483905281192894076488321967346759481142657728347346603640332749613<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 6, 2020 16:11:28 UTC 2020 年 8 月 7 日 (金) 1 時 11 分 28 秒 (日本時間)
403e60--
4511e645002100Eric JeancolasAugust 6, 2020 16:28:16 UTC 2020 年 8 月 7 日 (金) 1 時 28 分 16 秒 (日本時間)
2400Thomas KozlowskiSeptember 25, 2024 00:26:14 UTC 2024 年 9 月 25 日 (水) 9 時 26 分 14 秒 (日本時間)

10265+4

c264

composite cofactor 合成数の残り
357142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857143<264>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 6, 2020 16:11:50 UTC 2020 年 8 月 7 日 (金) 1 時 11 分 50 秒 (日本時間)
403e62350Ignacio SantosFebruary 10, 2022 20:28:50 UTC 2022 年 2 月 11 日 (金) 5 時 28 分 50 秒 (日本時間)
4511e64000Thomas KozlowskiSeptember 25, 2024 02:20:56 UTC 2024 年 9 月 25 日 (水) 11 時 20 分 56 秒 (日本時間)

10267+4

c245

composite cofactor 合成数の残り
85230281623987355051062389717813732175229012070339210419716351118248362974684378441884175483791293453907178916137821431522242297124812404658647011200119920381183079343517063534133739470765080157323376181348126442380271410558398748172111562345849<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 6, 2020 16:27:27 UTC 2020 年 8 月 7 日 (金) 1 時 27 分 27 秒 (日本時間)
403e60--
4511e645022100Eric JeancolasAugust 6, 2020 16:27:42 UTC 2020 年 8 月 7 日 (金) 1 時 27 分 42 秒 (日本時間)
2402Thomas KozlowskiSeptember 25, 2024 03:23:07 UTC 2024 年 9 月 25 日 (水) 12 時 23 分 7 秒 (日本時間)

10269+4

c241

composite cofactor 合成数の残り
7083278408006302871860041768376231385976036788107439682521774471320136837017701322118705838092334240167443146407917442509765382588327162062898325453613469815107156388053056379462235154318582175089683684865803435312673223953062430723313046327<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 6, 2020 16:12:03 UTC 2020 年 8 月 7 日 (金) 1 時 12 分 3 秒 (日本時間)
403e60--
4511e645002100Eric JeancolasAugust 6, 2020 16:27:11 UTC 2020 年 8 月 7 日 (金) 1 時 27 分 11 秒 (日本時間)
2400Thomas KozlowskiSeptember 25, 2024 04:25:11 UTC 2024 年 9 月 25 日 (水) 13 時 25 分 11 秒 (日本時間)

10270+4

c213

composite cofactor 合成数の残り
135048888897040593636867167318518261194897957208498586757396528370476846431711396817183874835574904148227329281512938255355489466080522516158108288865679880967112711827664822657702765795223109603674155035586101573<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 6, 2020 16:12:20 UTC 2020 年 8 月 7 日 (金) 1 時 12 分 20 秒 (日本時間)
403e60--
4511e645012100Eric JeancolasAugust 6, 2020 16:26:29 UTC 2020 年 8 月 7 日 (金) 1 時 26 分 29 秒 (日本時間)
2401Thomas KozlowskiSeptember 25, 2024 05:20:20 UTC 2024 年 9 月 25 日 (水) 14 時 20 分 20 秒 (日本時間)

10271+4

c209

composite cofactor 合成数の残り
25106917162245158584807283273483588408898267749846043617431181334896794742686625648515520988245423018587025602277234810491671869564247986265602808261832770911433226871021154581528994387171765157930734129055331<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 6, 2020 16:12:43 UTC 2020 年 8 月 7 日 (金) 1 時 12 分 43 秒 (日本時間)
403e60--
4511e645002100Eric JeancolasAugust 6, 2020 16:26:11 UTC 2020 年 8 月 7 日 (金) 1 時 26 分 11 秒 (日本時間)
2400Thomas KozlowskiSeptember 25, 2024 06:08:16 UTC 2024 年 9 月 25 日 (水) 15 時 8 分 16 秒 (日本時間)

10273+4

c212

composite cofactor 合成数の残り
21298241445745447803010694787685638487852906237479253424027565946696054344076130856614849880107580412689767161599306172575637678270066963842772972723300011196167793980299722580961800885863845791851169981529948013<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 6, 2020 16:13:04 UTC 2020 年 8 月 7 日 (金) 1 時 13 分 4 秒 (日本時間)
403e60--
4511e645002100Eric JeancolasAugust 6, 2020 16:25:53 UTC 2020 年 8 月 7 日 (金) 1 時 25 分 53 秒 (日本時間)
2400Thomas KozlowskiSeptember 25, 2024 06:57:14 UTC 2024 年 9 月 25 日 (水) 15 時 57 分 14 秒 (日本時間)

10274+4

c253

name 名前Thomas Kozlowski
date 日付September 25, 2024 07:50:32 UTC 2024 年 9 月 25 日 (水) 16 時 50 分 32 秒 (日本時間)
composite number 合成数
6597717060127870953913025711950080531127143626357834239170617596460907207644975168590477066559225004882335771078581659027972508249453015371294897147801206771542841600780666233607610262784117004186039343707424735872583193877291121051304668914524029173641<253>
prime factors 素因数
4825820409033445760407444080471660201821917<43>
composite cofactor 合成数の残り
1367170035539991209081920553001254067117990827715561637252777014338137064253991798235225053145531660555418710913530295424720541496916466918713477675614818510754225595276117856163511245448476035210554209367446173<211>
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 6597717060127870953913025711950080531127143626357834239170617596460907207644975168590477066559225004882335771078581659027972508249453015371294897147801206771542841600780666233607610262784117004186039343707424735872583193877291121051304668914524029173641 (253 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2123846483
Step 1 took 48568ms
Step 2 took 17385ms
Run 2 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3367148017
Step 1 took 48161ms
Step 2 took 17378ms
Run 3 out of 0:
...
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2831795637
Step 1 took 48451ms
Step 2 took 17342ms
Run 44 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3421962959
Step 1 took 48165ms
Step 2 took 17396ms
** Factor found in step 2: 4825820409033445760407444080471660201821917
Found prime factor of 43 digits: 4825820409033445760407444080471660201821917
Composite cofactor 1367170035539991209081920553001254067117990827715561637252777014338137064253991798235225053145531660555418710913530295424720541496916466918713477675614818510754225595276117856163511245448476035210554209367446173 has 211 digits
execution environment 実行環境
2x Xeon E5-2698v4, 128GB DDR4, Ubuntu Server 24.04

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 6, 2020 16:13:18 UTC 2020 年 8 月 7 日 (金) 1 時 13 分 18 秒 (日本時間)
403e62350Ignacio SantosFebruary 10, 2022 20:51:48 UTC 2022 年 2 月 11 日 (金) 5 時 51 分 48 秒 (日本時間)

10275+4

c257

name 名前Ignacio Santos
date 日付February 10, 2022 21:21:27 UTC 2022 年 2 月 11 日 (金) 6 時 21 分 27 秒 (日本時間)
composite number 合成数
13979263538599215770500489989503693809943659875575099264062987552400575630076235825633073617793156334200715146555276940972374948274118254155823303012949100938049305738889590979281115686246143738504874267945861961617347896977571469013122481828147929918301059<257>
prime factors 素因数
174467259301208790369914630418641243445851<42>
composite cofactor 合成数の残り
80125426367045366469642833090960437830242542507346835930925994177157291704576867413914775948773632398126699086861106973620597022953327321486037328876192514889131523016092186728078318570546535241055745603080313148409<215>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3391124127
Step 1 took 15375ms
Step 2 took 5859ms
********** Factor found in step 2: 174467259301208790369914630418641243445851
Found prime factor of 42 digits: 174467259301208790369914630418641243445851
Composite cofactor 80125426367045366469642833090960437830242542507346835930925994177157291704576867413914775948773632398126699086861106973620597022953327321486037328876192514889131523016092186728078318570546535241055745603080313148409 has 215 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 6, 2020 16:25:23 UTC 2020 年 8 月 7 日 (金) 1 時 25 分 23 秒 (日本時間)
403e6587Marlon TrifunovicFebruary 21, 2022 10:34:00 UTC 2022 年 2 月 21 日 (月) 19 時 34 分 0 秒 (日本時間)
4511e64480iveliveMarch 11, 2023 00:37:14 UTC 2023 年 3 月 11 日 (土) 9 時 37 分 14 秒 (日本時間)

10277+4

c271

name 名前Thomas Kozlowski
date 日付September 25, 2024 09:35:24 UTC 2024 年 9 月 25 日 (水) 18 時 35 分 24 秒 (日本時間)
composite number 合成数
4189211607132384113839311896858258863114997209985069649832180183018276692399597165411858149943613211767998109827722861868287835702472137553600962513258854736573995720301422153556389301758966169602745441718850279252845731444725028528531044571535815245714017604742857813131<271>
prime factors 素因数
2692625246531598077943379502589479060046103<43>
1555809376937454013388194503293259142693290586922049474742821558525098225380755647506584135904764530509817243893344066682082221595539568302849312516122139515994147986155732052425881346007532287872692576462986938985879120421474477<229>
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 4189211607132384113839311896858258863114997209985069649832180183018276692399597165411858149943613211767998109827722861868287835702472137553600962513258854736573995720301422153556389301758966169602745441718850279252845731444725028528531044571535815245714017604742857813131 (271 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3238052042
Step 1 took 57996ms
Step 2 took 20428ms
Run 2 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1861792945
Step 1 took 56913ms
Step 2 took 19549ms
Run 3 out of 0:
...
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:5738263
Step 1 took 60391ms
Step 2 took 20261ms
Run 76 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1036433509
Step 1 took 61196ms
Step 2 took 19033ms
** Factor found in step 2: 2692625246531598077943379502589479060046103
Found prime factor of 43 digits: 2692625246531598077943379502589479060046103
Prime cofactor 1555809376937454013388194503293259142693290586922049474742821558525098225380755647506584135904764530509817243893344066682082221595539568302849312516122139515994147986155732052425881346007532287872692576462986938985879120421474477 has 229 digits
execution environment 実行環境
2x Xeon E5-2698v4, 128GB DDR4, Ubuntu Server 24.04

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 6, 2020 16:25:02 UTC 2020 年 8 月 7 日 (金) 1 時 25 分 2 秒 (日本時間)
403e62350Ignacio SantosFebruary 10, 2022 21:22:02 UTC 2022 年 2 月 11 日 (金) 6 時 22 分 2 秒 (日本時間)

10278+4

c260

composite cofactor 合成数の残り
87238216032218635044765595424331348949056814266359062239796090953097683244501429185810450793045473539201740569946322496896235686933417500300286809958491676723414445380731265029454610086917090224855007221464348190115221691268996101732043190911105946126992047609<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 6, 2020 16:13:40 UTC 2020 年 8 月 7 日 (金) 1 時 13 分 40 秒 (日本時間)
403e62350Ignacio SantosFebruary 10, 2022 22:35:17 UTC 2022 年 2 月 11 日 (金) 7 時 35 分 17 秒 (日本時間)
4511e64001Thomas KozlowskiSeptember 25, 2024 11:20:28 UTC 2024 年 9 月 25 日 (水) 20 時 20 分 28 秒 (日本時間)

10279+4

c235

composite cofactor 合成数の残り
2341108171174784729543278418689522511277168119949114554380862079132959718368082315761362092918622648197304563517579764879191743661107605227494369344599634692871348114107073108171469226786743368430385647637933644305104562065819816069921<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 6, 2020 16:13:50 UTC 2020 年 8 月 7 日 (金) 1 時 13 分 50 秒 (日本時間)
403e60--
4511e645002100Eric JeancolasAugust 6, 2020 16:24:39 UTC 2020 年 8 月 7 日 (金) 1 時 24 分 39 秒 (日本時間)
2400Thomas KozlowskiSeptember 25, 2024 12:22:03 UTC 2024 年 9 月 25 日 (水) 21 時 22 分 3 秒 (日本時間)

10281+4

c260

composite cofactor 合成数の残り
28566487472177869069002998211503181663740867337493761955327672655160713141379367256390012130323180631800070304886172362078176086802160760291825303643035275039817232620707251425296943683806351356729455456554841642350051892384154667620963739344402169981563899413<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 6, 2020 16:14:03 UTC 2020 年 8 月 7 日 (金) 1 時 14 分 3 秒 (日本時間)
403e62350Ignacio SantosFebruary 10, 2022 22:35:39 UTC 2022 年 2 月 11 日 (金) 7 時 35 分 39 秒 (日本時間)
4511e64001Thomas KozlowskiSeptember 25, 2024 14:16:52 UTC 2024 年 9 月 25 日 (水) 23 時 16 分 52 秒 (日本時間)

10285+4

c255

composite cofactor 合成数の残り
211186068965359264088008485958194339365300446492093646227583697716388945019753828436519569891559392734025540479884602572004487856288831990987799710347293251921461327421320263946781052733129864808343920698460754673907257247282907408086832246777306555351529<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 6, 2020 16:14:17 UTC 2020 年 8 月 7 日 (金) 1 時 14 分 17 秒 (日本時間)
403e62350Ignacio SantosFebruary 10, 2022 22:36:12 UTC 2022 年 2 月 11 日 (金) 7 時 36 分 12 秒 (日本時間)
4511e64003Thomas KozlowskiSeptember 25, 2024 16:11:25 UTC 2024 年 9 月 26 日 (木) 1 時 11 分 25 秒 (日本時間)

10286+4

c240

composite cofactor 合成数の残り
129289792969377502587501663189332048689941212525143306914239947237452018585923315346831058463438728544812168764946330349015599773881103319953254077946022773795867694366375329974452778815966730143084462461665393080534483269786101057596268489<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 6, 2020 16:14:29 UTC 2020 年 8 月 7 日 (金) 1 時 14 分 29 秒 (日本時間)
403e60--
4511e645002100Eric JeancolasAugust 6, 2020 16:24:02 UTC 2020 年 8 月 7 日 (金) 1 時 24 分 2 秒 (日本時間)
2400Thomas KozlowskiSeptember 25, 2024 17:13:29 UTC 2024 年 9 月 26 日 (木) 2 時 13 分 29 秒 (日本時間)

10287+4

c258

composite cofactor 合成数の残り
161957405820163269465535976212527234217797289989369934746797946028963264970126242298383496035008528081753818801679083227370299607476637222420239055280638467667273642452890967417747727705361900924461431810831754813292491086282490927929155309394176547026977143<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 6, 2020 16:14:41 UTC 2020 年 8 月 7 日 (金) 1 時 14 分 41 秒 (日本時間)
403e62350Ignacio SantosFebruary 10, 2022 22:36:38 UTC 2022 年 2 月 11 日 (金) 7 時 36 分 38 秒 (日本時間)
4511e64003Thomas KozlowskiSeptember 25, 2024 19:08:09 UTC 2024 年 9 月 26 日 (木) 4 時 8 分 9 秒 (日本時間)

10290+4

c227

composite cofactor 合成数の残り
88779564650004950561786833974458726960011215872564278718094426602642134214843582175995575231173385230764724352089078758051534733711645012856712098639651561473673003139070264717331150445243197438318059929121953028456859240946197<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 6, 2020 16:14:58 UTC 2020 年 8 月 7 日 (金) 1 時 14 分 58 秒 (日本時間)
403e60--
4511e645002100Eric JeancolasAugust 6, 2020 16:23:13 UTC 2020 年 8 月 7 日 (金) 1 時 23 分 13 秒 (日本時間)
2400Thomas KozlowskiSeptember 25, 2024 20:02:45 UTC 2024 年 9 月 26 日 (木) 5 時 2 分 45 秒 (日本時間)

10291+4

c280

composite cofactor 合成数の残り
5463126008439126446344426719339637037310316520833583646027611502151675702644342289771230422513369523621750819953245628399154585017565740602049797364298856825089929447595275697616509420682920068811352574196345118356555431439157550171600678763416172025533529755167513031415014326809<280>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 6, 2020 16:22:57 UTC 2020 年 8 月 7 日 (金) 1 時 22 分 57 秒 (日本時間)
403e62350Ignacio SantosFebruary 10, 2022 22:50:44 UTC 2022 年 2 月 11 日 (金) 7 時 50 分 44 秒 (日本時間)
4511e64001Thomas KozlowskiSeptember 25, 2024 22:09:54 UTC 2024 年 9 月 26 日 (木) 7 時 9 分 54 秒 (日本時間)

10293+4

c233

composite cofactor 合成数の残り
81861697396265065294683583022854211185745215443058486012572600991058060078427669441182824639042991499203152778251777616949167201385671239756484702062988052714302702599084646040651072683597073525435508691302629714717689266220812355099<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 6, 2020 16:15:13 UTC 2020 年 8 月 7 日 (金) 1 時 15 分 13 秒 (日本時間)
403e60--
4511e645012100Eric JeancolasAugust 6, 2020 16:22:37 UTC 2020 年 8 月 7 日 (金) 1 時 22 分 37 秒 (日本時間)
2401Thomas KozlowskiSeptember 25, 2024 23:11:45 UTC 2024 年 9 月 26 日 (木) 8 時 11 分 45 秒 (日本時間)

10294+4

c195

composite cofactor 合成数の残り
581742196121209064993666870195341172467423024238341444753544881055460317810789903902264465587722055961775335900469459125384771522034964181197753801491146159825054198901575223015724638638823022133<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 6, 2020 16:15:28 UTC 2020 年 8 月 7 日 (金) 1 時 15 分 28 秒 (日本時間)
403e60--
4511e62100Eric JeancolasAugust 6, 2020 16:22:17 UTC 2020 年 8 月 7 日 (金) 1 時 22 分 17 秒 (日本時間)
5043e62472 / 7075680Dmitry DomanovSeptember 5, 2020 17:27:10 UTC 2020 年 9 月 6 日 (日) 2 時 27 分 10 秒 (日本時間)
1792Dmitry DomanovSeptember 21, 2024 21:42:33 UTC 2024 年 9 月 22 日 (日) 6 時 42 分 33 秒 (日本時間)

10295+4

c288

composite cofactor 合成数の残り
714904821861446298208534304993838950245198055802038851359563095926786883155098029178983285239302950640969365184535522047807687171376126010839672870991993351957080546038583699197791001292833879854239485680313437150858357623416164112407058798633902674001399497679275967273373026755455939129<288>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 6, 2020 16:15:38 UTC 2020 年 8 月 7 日 (金) 1 時 15 分 38 秒 (日本時間)
403e62400ebinaOctober 17, 2021 09:39:35 UTC 2021 年 10 月 17 日 (日) 18 時 39 分 35 秒 (日本時間)
4511e64001Thomas KozlowskiSeptember 26, 2024 01:20:40 UTC 2024 年 9 月 26 日 (木) 10 時 20 分 40 秒 (日本時間)

10297+4

c286

composite cofactor 合成数の残り
2422517210986440490840065427984766468238954728547390696029230107939310889020997083709836650221739043533023424901039638250662325636343195200408504728385746297112391077035614851286371153303417804795631561427916222564702767732025078428137376845042789657409931851850600383049570643340862379<286>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 6, 2020 16:15:56 UTC 2020 年 8 月 7 日 (金) 1 時 15 分 56 秒 (日本時間)
403e60--
4511e645002100Eric JeancolasAugust 6, 2020 16:18:33 UTC 2020 年 8 月 7 日 (金) 1 時 18 分 33 秒 (日本時間)
2400Thomas KozlowskiSeptember 26, 2024 02:37:50 UTC 2024 年 9 月 26 日 (木) 11 時 37 分 50 秒 (日本時間)

10298+4

c269

composite cofactor 合成数の残り
87958441881158398590032300854218266396519497517213759108634861787401488180682721841534776774992772700802755639377349361629547993908175266918306056636961405276502816045520156485769751456137619222597792939205256665572856320644280535346569735591889827365505832290665059201<269>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 6, 2020 16:16:15 UTC 2020 年 8 月 7 日 (金) 1 時 16 分 15 秒 (日本時間)
403e60--
4511e645002100Eric JeancolasAugust 6, 2020 16:18:12 UTC 2020 年 8 月 7 日 (金) 1 時 18 分 12 秒 (日本時間)
2400Thomas KozlowskiSeptember 26, 2024 03:47:29 UTC 2024 年 9 月 26 日 (木) 12 時 47 分 29 秒 (日本時間)

10299+4

c280

name 名前Thomas Kozlowski
date 日付September 26, 2024 03:59:54 UTC 2024 年 9 月 26 日 (木) 12 時 59 分 54 秒 (日本時間)
composite number 合成数
4090696241159297799879785483499613151022359887324934237950112360760851480866792095470312329890863829760362933314204837172841404362380292485395178410462656390775873406225921572858097836512875350217855510968597631270648621981063454831278241315243849526918882166149989714763302658211<280>
prime factors 素因数
11668752497904287411402400813273515775298397<44>
composite cofactor 合成数の残り
350568429820924599388014370926874750733094968358820590698902272594349538838135008035853651993895043433020236623570855362467832405303095589499070738895400887536902731123709563630577855681021432710232762984899906826563323373004938183793663<237>
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 4090696241159297799879785483499613151022359887324934237950112360760851480866792095470312329890863829760362933314204837172841404362380292485395178410462656390775873406225921572858097836512875350217855510968597631270648621981063454831278241315243849526918882166149989714763302658211 (280 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3238993556
Step 1 took 57189ms
Step 2 took 19138ms
Run 2 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3409922572
Step 1 took 56373ms
Step 2 took 19944ms
Run 3 out of 0:
...
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3889282770
Step 1 took 62567ms
Step 2 took 20508ms
Run 8 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1967514968
Step 1 took 59025ms
Step 2 took 19279ms
** Factor found in step 2: 11668752497904287411402400813273515775298397
Found prime factor of 44 digits: 11668752497904287411402400813273515775298397
Composite cofactor 350568429820924599388014370926874750733094968358820590698902272594349538838135008035853651993895043433020236623570855362467832405303095589499070738895400887536902731123709563630577855681021432710232762984899906826563323373004938183793663 has 237 digits
execution environment 実行環境
2x Xeon E5-2698v4, 128GB DDR4, Ubuntu Server 24.04

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 5, 2020 00:00:00 UTC 2020 年 8 月 5 日 (水) 9 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 6, 2020 16:16:37 UTC 2020 年 8 月 7 日 (金) 1 時 16 分 37 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasAugust 6, 2020 16:17:31 UTC 2020 年 8 月 7 日 (金) 1 時 17 分 31 秒 (日本時間)