Contributed factorization results of 22...2272

Table of contents 目次

2×10¹⁴⁰+2249
- c114
- ECM
2×10¹⁴¹+2249
- c113
- ECM
2×10¹⁴²+2249
- c110
- ECM
2×10¹⁴³+2249
- c113
- ECM
2×10¹⁴⁴+2249
- c105
- ECM
2×10¹⁴⁹+2249
- c119
- ECM
2×10¹⁵⁰+2249
- c142
- ECM
2×10¹⁵¹+2249
- c145
- ECM
2×10¹⁵⁷+2249
- c106
- ECM
2×10¹⁶¹+2249
- c149
- ECM
2×10¹⁶⁶+2249
- c143
- ECM
2×10¹⁷⁰+2249
- c115
- ECM
2×10¹⁷¹+2249
- c113
- ECM
2×10¹⁷²+2249
- c166
- ECM
2×10¹⁷³+2249
- c112
- ECM
2×10¹⁷⁸+2249
- c136
- ECM
2×10¹⁸⁰+2249
- c168
- ECM
2×10¹⁸²+2249
- c132
- ECM
2×10¹⁸³+2249
- c181
- ECM
2×10¹⁸⁵+2249
- c145
- c110
- ECM
2×10¹⁸⁶+2249
- c145
- ECM
2×10¹⁸⁷+2249
- c152
- ECM
2×10¹⁹¹+2249
- c185
- ECM
2×10¹⁹²+2249
- c181
- c141
- ECM
2×10¹⁹³+2249
- c136
- ECM
2×10¹⁹⁴+2249
- c144
- ECM
2×10¹⁹⁵+2249
- c186
- ECM
2×10¹⁹⁶+2249
- c147
- ECM
2×10¹⁹⁷+2249
- c162
- ECM
2×10¹⁹⁸+2249
- c169
- c131
- ECM
2×10²⁰⁰+2249
- c163
- ECM
2×10²⁰²+2249
- c198
- c157
- ECM
2×10²⁰⁵+2249
- c193
- ECM
2×10²⁰⁶+2249
- c196
- ECM
2×10²⁰⁷+2249
- c161
- ECM
2×10²⁰⁹+2249
- c205
- ECM
2×10²¹⁰+2249
- c156
- ECM
2×10²¹²+2249
- c146
- c102
- ECM
2×10²¹³+2249
- c188
- ECM
2×10²¹⁴+2249
- c204
- ECM
2×10²¹⁵+2249
- c213
- ECM
2×10²¹⁶+2249
- c179
- ECM
2×10²¹⁷+2249
- c189
- ECM
2×10²¹⁹+2249
- c183
- ECM
2×10²²⁰+2249
- c193
- c160
- ECM
2×10²²¹+2249
- c184
- ECM
2×10²²²+2249
- c198
- ECM
2×10²²⁶+2249
- c166
- ECM
2×10²²⁸+2249
- c165
- ECM
2×10²³⁰+2249
- c131
- ECM
2×10²³¹+2249
- c197
- c155
- ECM
2×10²³²+2249
- c173
- ECM
2×10²³³+2249
- c227
- ECM
2×10²³⁴+2249
- c168
- ECM
2×10²³⁶+2249
- c222
- ECM
2×10²³⁸+2249
- c187
- ECM
2×10²³⁹+2249
- c220
- ECM
2×10²⁴¹+2249
- c213
- ECM
2×10²⁴²+2249
- c225
- ECM
2×10²⁴³+2249
- c184
- ECM
2×10²⁴⁴+2249
- c242
- ECM
2×10²⁴⁶+2249
- c212
- ECM
2×10²⁴⁷+2249
- c199
- ECM
2×10²⁴⁸+2249
- c202
- ECM
2×10²⁴⁹+2249
- c225
- ECM
2×10²⁵⁰+2249
- c204
- ECM
2×10²⁵²+2249
- c217
- ECM
2×10²⁵³+2249
- c242
- ECM
2×10²⁵⁴+2249
- c211
- ECM
2×10²⁵⁷+2249
- c225
- ECM
2×10²⁵⁸+2249
- c212
- ECM
2×10²⁵⁹+2249
- c239
- ECM
2×10²⁶⁰+2249
- c248
- ECM
2×10²⁶¹+2249
- c217
- ECM
2×10²⁶²+2249
- c251
- ECM
2×10²⁶³+2249
- c230
- ECM
2×10²⁶⁴+2249
- c228
- c192
- c155
- ECM
2×10²⁶⁵+2249
- c203
- ECM
2×10²⁶⁶+2249
- c194
- ECM
2×10²⁶⁸+2249
- c219
- ECM
2×10²⁷⁰+2249
- c222
- ECM
2×10²⁷¹+2249
- c221
- ECM
2×10²⁷²+2249
- c254
- ECM
2×10²⁷³+2249
- c177
- c138
- ECM
2×10²⁷⁵+2249
- c234
- ECM
2×10²⁷⁶+2249
- c150
- c116
- ECM
2×10²⁷⁷+2249
- c272
- ECM
2×10²⁷⁸+2249
- c258
- ECM
2×10²⁷⁹+2249
- c257
- ECM
2×10²⁸²+2249
- c280
- ECM
2×10²⁸³+2249
- c217
- ECM
2×10²⁸⁶+2249
- c249
- ECM
2×10²⁸⁸+2249
- c260
- ECM
2×10²⁸⁹+2249
- c272
- ECM
2×10²⁹⁰+2249
- c267
- ECM
2×10²⁹¹+2249
- c271
- ECM
2×10²⁹²+2249
- c285
- ECM
2×10²⁹³+2249
- c268
- ECM
2×10²⁹⁵+2249
- c237
- ECM
2×10²⁹⁶+2249
- c280
- ECM
2×10²⁹⁹+2249
- c287
- ECM
2×10³⁰⁰+2249
- c172
- ECM

2×10¹⁴⁰+2249

c114

name 名前	Ignacio Santos
date 日付	December 29, 2021 09:49:49 UTC 2021 年 12 月 29 日 (水) 18 時 49 分 49 秒 (日本時間)
composite number 合成数	156568792841887787171932488547420961973874995718218560575012735606674663946941637781960466264743627218791187472329<114>
prime factors 素因数	526314731855064961673923360494716454777524207240671<51> 297481304180942537999655799395689949836364447192165086893702999<63>
factorization results 素因数分解の結果	N=156568792841887787171932488547420961973874995718218560575012735606674663946941637781960466264743627218791187472329 ( 114 digits) SNFS difficulty: 140 digits. Divisors found: r1=526314731855064961673923360494716454777524207240671 (pp51) r2=297481304180942537999655799395689949836364447192165086893702999 (pp63) Version: Msieve v. 1.52 (SVN 927) Total time: 4.12 hours. Scaled time: 32.44 units (timescale=7.868). Factorization parameters were as follows: n: 156568792841887787171932488547420961973874995718218560575012735606674663946941637781960466264743627218791187472329 m: 100000000000000000000000000000000000 deg: 4 c4: 1 c0: 224 skew: 3.87 # Murphy_E = 5.374e-09 type: snfs lss: 1 rlim: 1510000 alim: 1510000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.3 alambda: 2.3Factor base limits: 1510000/1510000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved rational special-q in [755000, 1155001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 208008 x 208234 Total sieving time: 4.09 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.02 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,140.000,4,0,0,0,0,0,0,0,0,1510000,1510000,26,26,48,48,2.3,2.3,100000 total time: 4.12 hours.
software ソフトウェア	GNFS, Msieve

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

2×10¹⁴¹+2249

c113

name 名前	Ignacio Santos
date 日付	December 29, 2021 12:23:01 UTC 2021 年 12 月 29 日 (水) 21 時 23 分 1 秒 (日本時間)
composite number 合成数	72793892728086226346844135267173070595074468588896063170533033562300431868021978858424341787701296104354155447951<113>
prime factors 素因数	1476874734459661122275616445284617008720879<43> 49289144860832809605170138452640696375809984527276638570888770721148769<71>
factorization results 素因数分解の結果	N=72793892728086226346844135267173070595074468588896063170533033562300431868021978858424341787701296104354155447951 ( 113 digits) SNFS difficulty: 140 digits. Divisors found: r1=1476874734459661122275616445284617008720879 (pp43) r2=49289144860832809605170138452640696375809984527276638570888770721148769 (pp71) Version: Msieve v. 1.52 (SVN 927) Total time: 5.19 hours. Scaled time: 40.52 units (timescale=7.800). Factorization parameters were as follows: n: 72793892728086226346844135267173070595074468588896063170533033562300431868021978858424341787701296104354155447951 m: 100000000000000000000000000000000000 deg: 4 c4: 5 c0: 112 skew: 2.18 # Murphy_E = 4.786e-09 type: snfs lss: 1 rlim: 1550000 alim: 1550000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.3 alambda: 2.3Factor base limits: 1550000/1550000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved rational special-q in [775000, 1275001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 184365 x 184590 Total sieving time: 5.15 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.02 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,140.000,4,0,0,0,0,0,0,0,0,1550000,1550000,26,26,48,48,2.3,2.3,100000 total time: 5.19 hours.
software ソフトウェア	GNFS, Msieve

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

2×10¹⁴²+2249

c110

name 名前	Bob Backstrom
date 日付	December 29, 2021 01:39:12 UTC 2021 年 12 月 29 日 (水) 10 時 39 分 12 秒 (日本時間)
composite number 合成数	87213320875113852161151870966959358008477716282999077588078999960877424901081151628857905915603647738718112121<110>
prime factors 素因数	2612217562142497325161154135586367544980417208031862729<55> 33386698772357590056708196137489299914173350682822169649<56>
factorization results 素因数分解の結果	CADO STA:Wed 29 Dec 2021 11:57:57 AEDT (87,213,320,875,113,852,161,151,870,966,959,358,008,477,716,282,999,077,588,078,999,960,877,424,901,081,151,628,857,905,915,603,647,738,718,112,121 - C110) /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 87213320875113852161151870966959358008477716282999077588078999960877424901081151628857905915603647738718112121 2>&1 \| tee -a log121 Debug:root: Looking for parameter file for c110 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c110 Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c110 Info:root: No database exists yet Info:root: Created temporary directory /tmp/cado.vsmapafc Info:Database: Opened connection to database /tmp/cado.vsmapafc/c110.db Info:root: tasks.polyselect.threads = 2 Info:root: tasks.sieve.las.threads = 2 Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0 Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 8721332087511385216115187096695935800847771628299907758807899996087742490108115162885 7905915603647738718112121 Debug:root: Root parameter dictionary: N = 87213320875113852161151870966959358008477716282999077588078999960877424901081151628857905915603647738718112121 lim0 = 2910696 lim1 = 3533488 lpb0 = 25 lpb1 = 25 name = c110 ... n: 87213320875113852161151870966959358008477716282999077588078999960877424901081151628857905915603647738718112121 skew: 3812.549 c0: 435580316735581684588680 c1: -193923167004335276079 c2: -117913929161531476 c3: 67907546733871 c4: 4397850124 c5: 191520 Y0: -1088603269235956124396 Y1: 8147503180527959 # MurphyE (Bf=3.53e+06,Bg=2.91e+06,area=2.96e+13) = 4.77e-09 # f(x) = 191520x^5+4397850124x^4+67907546733871x^3-117913929161531476x^2-193923167004335276079x+435580316735581684588680 # g(x) = 8147503180527959x-1088603269235956124396 ... Info:Square Root: finished Info:Square Root: Factors: 2612217562142497325161154135586367544980417208031862729 33386698772357590056708196137489299914173350682822169649 Debug:Square Root: Exit SqrtTask.run(sqrt) Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 27840.2 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 28147/31.880/38.872/43.380/0.951 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 28147/31.430/35.222/39.730/1.176 Info:Polynomial Selection (size optimized): Total time: 973.35 Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 248.33 Info:Polynomial Selection (root optimized): Rootsieve time: 247.37 Info:Generate Factor Base: Total cpu/real time for makefb: 4.49/0.430186 Info:Generate Free Relations: Total cpu/real time for freerel: 36.05/2.41756 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 3790946 Info:Lattice Sieving: Average J: 1890.83 for 103323 special-q, max bucket fill: 0.755135 Info:Lattice Sieving: Total CPU time: 25538.3s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 9.09/9.88489 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 9.6s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 59.26/28.6853 Info:Filtering - Singleton removal: Total cpu/real time for purge: 41.8/24.0685 Info:Filtering - Merging: Total cpu/real time for merge: 128.76/104.154 Info:Filtering - Merging: Total cpu/real time for replay: 13.31/10.541 Info:Linear Algebra: Total cpu/real time for bwc: 3019.43/0.00026083 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 127.5 Info:Linear Algebra: Lingen CPU time 83.36, WCT time 8.3 Info:Linear Algebra: Mksol: WCT time 75.95 Info:Quadratic Characters: Total cpu/real time for characters: 12.9/2.99025 Info:Square Root: Total cpu/real time for sqrt: 278.5/39.1858 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 30363.5/2270.9 Info:root: Cleaning up computation data in /tmp/cado.vsmapafc 2612217562142497325161154135586367544980417208031862729 33386698772357590056708196137489299914173350682822169649 END:Wed 29 Dec 2021 12:35:49 AEDT (87,213,320,875,113,852,161,151,870,966,959,358,008,477,716,282,999,077,588,078,999,960,877,424,901,081,151,628,857,905,915,603,647,738,718,112,121 - C110)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

2×10¹⁴³+2249

c113

name 名前	Bob Backstrom
date 日付	December 29, 2021 02:55:40 UTC 2021 年 12 月 29 日 (水) 11 時 55 分 40 秒 (日本時間)
composite number 合成数	64592232011436585410888599675413663178794698787108807862069120610085750167990503198848296450358002822829230970017<113>
prime factors 素因数	669899803605486650273614275014318989<36> 96420735853022958781680289959473166405378056683546364702886981339394789412453<77>
factorization results 素因数分解の結果	CADO STA:Wed 29 Dec 2021 12:42:58 AEDT (64,592,232,011,436,585,410,888,599,675,413,663,178,794,698,787,108,807,862,069,120,610,085,750,167,990,503,198,848,296,450,358,002,822,829,230,970,017 - C113) /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 64592232011436585410888599675413663178794698787108807862069120610085750167990503198848296450358002822829230970017 2>&1 \| tee -a log122 Debug:root: Looking for parameter file for c113 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c115 Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c115 Info:root: No database exists yet Info:root: Created temporary directory /tmp/cado.tf4dtd3c Info:Database: Opened connection to database /tmp/cado.tf4dtd3c/c115.db Info:root: tasks.polyselect.threads = 2 Info:root: tasks.sieve.las.threads = 2 Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0 Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 6459223201143658541088859967541366317879469878710880786206912061008575016799050319884 8296450358002822829230970017 Debug:root: Root parameter dictionary: N = 64592232011436585410888599675413663178794698787108807862069120610085750167990503198848296450358002822829230970017 lim0 = 5484593 lim1 = 2800829 lpb0 = 26 lpb1 = 26 name = c115 ... n: 64592232011436585410888599675413663178794698787108807862069120610085750167990503198848296450358002822829230970017 skew: 6163523.376 c0: 27936159813965946890568154536810 c1: -15477062459925290803470605 c2: -2829869815233190717 c3: 181464971826 c4: 33480 Y0: -1377698079736116899082100616 Y1: 27571863550151705077 # MurphyE (Bf=2.80e+06,Bg=5.48e+06,area=9.40e+13) = 2.94e-09 # f(x) = 33480x^4+181464971826x^3-2829869815233190717x^2-15477062459925290803470605x+27936159813965946890568154536810 # g(x) = 27571863550151705077*x-1377698079736116899082100616 ... Info:Square Root: finished Info:Square Root: Factors: 96420735853022958781680289959473166405378056683546364702886981339394789412453 669899803605486650273614275014318989 Debug:Square Root: Exit SqrtTask.run(sqrt) Info:Square Root: Total cpu/real time for sqrt: 256.29/37.3579 Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 55681.1 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 56331/38.230/43.085/47.430/0.650 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 56331/36.020/42.248/44.060/1.018 Info:Polynomial Selection (size optimized): Total time: 1116.91 Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 148.49 Info:Polynomial Selection (root optimized): Rootsieve time: 147.83 Info:Generate Factor Base: Total cpu/real time for makefb: 2.6/0.273693 Info:Generate Free Relations: Total cpu/real time for freerel: 53.24/3.54861 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 6778185 Info:Lattice Sieving: Average J: 4096 for 61438 special-q, max bucket fill: 0.679995 Info:Lattice Sieving: Total CPU time: 54658.8s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 16.56/19.609 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 19.5s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 89.52/28.6342 Info:Filtering - Singleton removal: Total cpu/real time for purge: 79.08/29.492 Info:Filtering - Merging: Total cpu/real time for merge: 115.42/91.2705 Info:Filtering - Merging: Total cpu/real time for replay: 12.23/9.44754 Info:Linear Algebra: Total cpu/real time for bwc: 3359.23/0.000332355 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 140.47 Info:Linear Algebra: Lingen CPU time 77.96, WCT time 7.92 Info:Linear Algebra: Mksol: WCT time 76.83 Info:Quadratic Characters: Total cpu/real time for characters: 13.62/3.14229 Info:Square Root: Total cpu/real time for sqrt: 256.29/37.3579 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 59922/4166.61 Info:root: Cleaning up computation data in /tmp/cado.tf4dtd3c 96420735853022958781680289959473166405378056683546364702886981339394789412453 669899803605486650273614275014318989 END:Wed 29 Dec 2021 13:52:25 AEDT (64,592,232,011,436,585,410,888,599,675,413,663,178,794,698,787,108,807,862,069,120,610,085,750,167,990,503,198,848,296,450,358,002,822,829,230,970,017 - C113)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

2×10¹⁴⁴+2249

c105

name 名前	Ignacio Santos
date 日付	December 29, 2021 14:43:57 UTC 2021 年 12 月 29 日 (水) 23 時 43 分 57 秒 (日本時間)
composite number 合成数	452395844499030893324560161775801641218940694397623140393971848745535581416746590962200854190674702215799<105>
prime factors 素因数	3523930071750596018478996798552567452178793671133<49> 128378212758998507938384778218786619164820404191867912803<57>
factorization results 素因数分解の結果	N=452395844499030893324560161775801641218940694397623140393971848745535581416746590962200854190674702215799 ( 105 digits) SNFS difficulty: 144 digits. Divisors found: r1=3523930071750596018478996798552567452178793671133 (pp49) r2=128378212758998507938384778218786619164820404191867912803 (pp57) Version: Msieve v. 1.52 (SVN 927) Total time: 5.96 hours. Scaled time: 46.74 units (timescale=7.843). Factorization parameters were as follows: n: 452395844499030893324560161775801641218940694397623140393971848745535581416746590962200854190674702215799 m: 1000000000000000000000000000000000000 deg: 4 c4: 1 c0: 224 skew: 3.87 # Murphy_E = 3.383e-09 type: snfs lss: 1 rlim: 1760000 alim: 1760000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.3 alambda: 2.3Factor base limits: 1760000/1760000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved rational special-q in [880000, 1480001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 243472 x 243697 Total sieving time: 5.92 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.03 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,144.000,4,0,0,0,0,0,0,0,0,1760000,1760000,26,26,49,49,2.3,2.3,100000 total time: 5.96 hours.
software ソフトウェア	GNFS, Msieve

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

2×10¹⁴⁹+2249

c119

name 名前	Ignacio Santos
date 日付	December 29, 2021 22:33:04 UTC 2021 年 12 月 30 日 (木) 7 時 33 分 4 秒 (日本時間)
composite number 合成数	80484206857400579436712290374498142719096284271820633820318306149030261085540982454986007782586675167126399930464261553<119>
prime factors 素因数	4623780686122321211876857070685443363431<40> 17406579663037111773103361345388484260490303205704977512562284020439442345703463<80>
factorization results 素因数分解の結果	N=80484206857400579436712290374498142719096284271820633820318306149030261085540982454986007782586675167126399930464261553 ( 119 digits) SNFS difficulty: 148 digits. Divisors found: r1=4623780686122321211876857070685443363431 (pp40) r2=17406579663037111773103361345388484260490303205704977512562284020439442345703463 (pp80) Version: Msieve v. 1.52 (SVN 927) Total time: 9.79 hours. Scaled time: 77.11 units (timescale=7.880). Factorization parameters were as follows: n: 80484206857400579436712290374498142719096284271820633820318306149030261085540982454986007782586675167126399930464261553 m: 10000000000000000000000000000000000000 deg: 4 c4: 5 c0: 112 skew: 2.18 # Murphy_E = 1.887e-09 type: snfs lss: 1 rlim: 2100000 alim: 2100000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.3 alambda: 2.3Factor base limits: 2100000/2100000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved rational special-q in [1050000, 2050001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 285250 x 285477 Total sieving time: 9.74 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.03 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,148.000,4,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000 total time: 9.79 hours.
software ソフトウェア	GNFS, Msieve

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

2×10¹⁵⁰+2249

c142

name 名前	Ignacio Santos
date 日付	December 30, 2021 09:56:01 UTC 2021 年 12 月 30 日 (木) 18 時 56 分 1 秒 (日本時間)
composite number 合成数	3611642455949230361881951183769267245708299716165353357897124936131714808993810280479575266224278026894427819331891218947242629446755317753459<142>
prime factors 素因数	148430685407652792935922693750841569606864994973<48> 24332182028467687794823782046857323171944538635527452676242798561215665575959132569822014715983<95>
factorization results 素因数分解の結果	N=3611642455949230361881951183769267245708299716165353357897124936131714808993810280479575266224278026894427819331891218947242629446755317753459 ( 142 digits) SNFS difficulty: 150 digits. Divisors found: r1=148430685407652792935922693750841569606864994973 (pp48) r2=24332182028467687794823782046857323171944538635527452676242798561215665575959132569822014715983 (pp95) Version: Msieve v. 1.52 (SVN 927) Total time: 6.71 hours. Scaled time: 52.99 units (timescale=7.893). Factorization parameters were as follows: n: 3611642455949230361881951183769267245708299716165353357897124936131714808993810280479575266224278026894427819331891218947242629446755317753459 m: 1000000000000000000000000000000 deg: 5 c5: 1 c0: 224 skew: 2.95 # Murphy_E = 1.861e-09 type: snfs lss: 1 rlim: 2200000 alim: 2200000 lpbr: 27 lpba: 27 mfbr: 49 mfba: 49 rlambda: 2.4 alambda: 2.4Factor base limits: 2200000/2200000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 49/49 Sieved rational special-q in [1100000, 1600001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 282077 x 282302 Total sieving time: 6.66 hours. Total relation processing time: 0.02 hours. Matrix solve time: 0.03 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,150.000,5,0,0,0,0,0,0,0,0,2200000,2200000,27,27,49,49,2.4,2.4,100000 total time: 6.71 hours.
software ソフトウェア	GNFS, Msieve

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

2×10¹⁵¹+2249

c145

name 名前	Ignacio Santos
date 日付	December 30, 2021 18:50:43 UTC 2021 年 12 月 31 日 (金) 3 時 50 分 43 秒 (日本時間)
composite number 合成数	7047335543377759736598786730712852084883747152876440475385066414090160792007757706966150237918047944433168707575040028865886385675303881108630449<145>
prime factors 素因数	26420104362160873824685026976335295017039116980057933<53> 266741396883769358211298500015843097411554672829516289647322638477959495586544629454319320053<93>
factorization results 素因数分解の結果	N=7047335543377759736598786730712852084883747152876440475385066414090160792007757706966150237918047944433168707575040028865886385675303881108630449 ( 145 digits) SNFS difficulty: 150 digits. Divisors found: r1=26420104362160873824685026976335295017039116980057933 (pp53) r2=266741396883769358211298500015843097411554672829516289647322638477959495586544629454319320053 (pp93) Version: Msieve v. 1.52 (SVN 927) Total time: 10.78 hours. Scaled time: 84.95 units (timescale=7.880). Factorization parameters were as follows: n: 7047335543377759736598786730712852084883747152876440475385066414090160792007757706966150237918047944433168707575040028865886385675303881108630449 m: 50000000000000000000000000000000000000 deg: 4 c4: 1 c0: 140 skew: 3.44 # Murphy_E = 1.498e-09 type: snfs lss: 1 rlim: 2300000 alim: 2300000 lpbr: 27 lpba: 27 mfbr: 49 mfba: 49 rlambda: 2.4 alambda: 2.4Factor base limits: 2300000/2300000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 49/49 Sieved rational special-q in [1150000, 2150001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 388263 x 388489 Total sieving time: 10.71 hours. Total relation processing time: 0.02 hours. Matrix solve time: 0.05 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,150.000,4,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000 total time: 10.78 hours.
software ソフトウェア	GNFS, Msieve

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

2×10¹⁵⁷+2249

c106

name 名前	Ignacio Santos
date 日付	December 29, 2021 13:27:11 UTC 2021 年 12 月 29 日 (水) 22 時 27 分 11 秒 (日本時間)
composite number 合成数	1077382820521048333535358211631995427493408163728215799914130282271992153017927530682014534769071222451957<106>
prime factors 素因数	974059066121967267327775366278138109914731<42> 1106075450650487896964125730599670914940994352675311481374191647<64>
factorization results 素因数分解の結果	prp64 = 1106075450650487896964125730599670914940994352675311481374191647 prp42 = 974059066121967267327775366278138109914731
software ソフトウェア	Yafu

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

2×10¹⁶¹+2249

c149

name 名前	Ignacio Santos
date 日付	January 3, 2022 20:42:55 UTC 2022 年 1 月 4 日 (火) 5 時 42 分 55 秒 (日本時間)
composite number 合成数	83826849943469233868018158474807836227142807722723388367722864098374439492730185230318768301388206656693861169503761442720543719530664699159670424993<149>
prime factors 素因数	18002728652743988215822893035890836660254393<44> 4656341355825095328467626734895109761660325302928170426567826857200666147024515145339115548824821862044201<106>
factorization results 素因数分解の結果	N=83826849943469233868018158474807836227142807722723388367722864098374439492730185230318768301388206656693861169503761442720543719530664699159670424993 ( 149 digits) SNFS difficulty: 160 digits. Divisors found: r1=18002728652743988215822893035890836660254393 (pp44) r2=4656341355825095328467626734895109761660325302928170426567826857200666147024515145339115548824821862044201 (pp106) Version: Msieve v. 1.52 (SVN 927) Total time: 16.15 hours. Scaled time: 127.39 units (timescale=7.886). Factorization parameters were as follows: n: 83826849943469233868018158474807836227142807722723388367722864098374439492730185230318768301388206656693861169503761442720543719530664699159670424993 m: 100000000000000000000000000000000 deg: 5 c5: 5 c0: 112 skew: 1.86 # Murphy_E = 5.643e-10 type: snfs lss: 1 rlim: 3300000 alim: 3300000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4Factor base limits: 3300000/3300000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved rational special-q in [1650000, 2950001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 644676 x 644902 Total sieving time: 16.00 hours. Total relation processing time: 0.02 hours. Matrix solve time: 0.09 hours. Time per square root: 0.04 hours. Prototype def-par.txt line would be: snfs,160.000,5,0,0,0,0,0,0,0,0,3300000,3300000,27,27,51,51,2.4,2.4,100000 total time: 16.15 hours.
software ソフトウェア	GNFS, Msieve

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

2×10¹⁶⁶+2249

c143

name 名前	Ignacio Santos
date 日付	January 4, 2022 21:17:13 UTC 2022 年 1 月 5 日 (水) 6 時 17 分 13 秒 (日本時間)
composite number 合成数	39575276657517657674614120743420825670899031205518730902851481785227696102041276746904497938117550243290487473407520369221134244105129501557853<143>
prime factors 素因数	974364167685748789677900645840186197276069677528192991<54> 40616514820649117523858484195284102955660664700311500867526830830455628757691967487695683<89>
factorization results 素因数分解の結果	N=39575276657517657674614120743420825670899031205518730902851481785227696102041276746904497938117550243290487473407520369221134244105129501557853 ( 143 digits) SNFS difficulty: 165 digits. Divisors found: r1=974364167685748789677900645840186197276069677528192991 (pp54) r2=40616514820649117523858484195284102955660664700311500867526830830455628757691967487695683 (pp89) Version: Msieve v. 1.52 (SVN 927) Total time: 23.17 hours. Scaled time: 182.90 units (timescale=7.893). Factorization parameters were as follows: n: 39575276657517657674614120743420825670899031205518730902851481785227696102041276746904497938117550243290487473407520369221134244105129501557853 m: 1000000000000000000000000000000000 deg: 5 c5: 5 c0: 112 skew: 1.86 # Murphy_E = 3.601e-10 type: snfs lss: 1 rlim: 4000000 alim: 4000000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4Factor base limits: 4000000/4000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved rational special-q in [2000000, 3900001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 814129 x 814355 Total sieving time: 23.00 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.13 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,165.000,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,51,51,2.4,2.4,100000 total time: 23.17 hours.
software ソフトウェア	GNFS, Msieve

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

2×10¹⁷⁰+2249

c115

name 名前	Ignacio Santos
date 日付	December 29, 2021 21:20:39 UTC 2021 年 12 月 30 日 (木) 6 時 20 分 39 秒 (日本時間)
composite number 合成数	1086957501870799330973229632604728990314771761276195491277372502693904836147623465762199936692367412792736860342683<115>
prime factors 素因数	32884643254554029952808176200783927671<38> 33053650406265910060418384989037988875248711381460191174855479261411906443773<77>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1987629278 Step 1 took 3484ms Step 2 took 2688ms ********** Factor found in step 2: 32884643254554029952808176200783927671 Found prime factor of 38 digits: 32884643254554029952808176200783927671 Prime cofactor 33053650406265910060418384989037988875248711381460191174855479261411906443773 has 77 digits
software ソフトウェア	GMP-ECM

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

2×10¹⁷¹+2249

c113

name 名前	Ignacio Santos
date 日付	December 29, 2021 21:06:49 UTC 2021 年 12 月 30 日 (木) 6 時 6 分 49 秒 (日本時間)
composite number 合成数	51879316939430966397228243491484969557074917021599192457982211784821026274840272113944044655888190716941113677161<113>
prime factors 素因数	183328396305716988098120174211174628169<39> 282985712987514637655402709157808114978199993739901842317827270575332321569<75>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2308345424 Step 1 took 3578ms ********** Factor found in step 1: 183328396305716988098120174211174628169 Found prime factor of 39 digits: 183328396305716988098120174211174628169 Prime cofactor 282985712987514637655402709157808114978199993739901842317827270575332321569 has 75 digits
software ソフトウェア	GMP-ECM

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

2×10¹⁷²+2249

c166

name 名前	Bob Backstrom
date 日付	January 4, 2022 15:00:23 UTC 2022 年 1 月 5 日 (水) 0 時 0 分 23 秒 (日本時間)
composite number 合成数	1896042277192279922580801737684826201180703446853176553389516858091094971999247650424410103326719937870486660963371496872288659543615039710709453515110698532311594071<166>
prime factors 素因数	2665431424585411075998944705750303142165135493518207677523831997343<67> 711345360343380745621210986586368728146981191717165584405274587218388868788002050751087530855322697<99>
factorization results 素因数分解の結果	Number: n N=1896042277192279922580801737684826201180703446853176553389516858091094971999247650424410103326719937870486660963371496872288659543615039710709453515110698532311594071 ( 166 digits) SNFS difficulty: 171 digits. Divisors found: Wed Jan 5 01:56:14 2022 p67 factor: 2665431424585411075998944705750303142165135493518207677523831997343 Wed Jan 5 01:56:14 2022 p99 factor: 711345360343380745621210986586368728146981191717165584405274587218388868788002050751087530855322697 Wed Jan 5 01:56:14 2022 elapsed time 00:10:52 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.288). Factorization parameters were as follows: # # N = 10^172+224 = 2(170)72 # n: 1896042277192279922580801737684826201180703446853176553389516858091094971999247650424410103326719937870486660963371496872288659543615039710709453515110698532311594071 m: 10000000000000000000000000000000000 deg: 5 c5: 25 c0: 56 skew: 1.18 # Murphy_E = 2.22e-10 type: snfs lss: 1 rlim: 5000000 alim: 5000000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 5000000/5000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved special-q in [100000, 15300000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 2803583 hash collisions in 20622893 relations (18526458 unique) Msieve: matrix is 614112 x 614338 (205.9 MB) Sieving start time : 2022/01/05 00:44:55 Sieving end time : 2022/01/05 01:44:58 Total sieving time: 1hrs 0min 3secs. Total relation processing time: 0hrs 5min 35sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 30sec. Prototype def-par.txt line would be: snfs,171,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.116212] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5020K rodata, 2736K init, 4964K bss, 487280K reserved, 0K cma-reserved) [ 0.153541] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798280) [ 0.152035] smpboot: Total of 16 processors activated (102386.24 BogoMIPS)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

2×10¹⁷³+2249

c112

name 名前	Ignacio Santos
date 日付	December 29, 2021 21:06:04 UTC 2021 年 12 月 30 日 (木) 6 時 6 分 4 秒 (日本時間)
composite number 合成数	3190369142496728014523788719612922604970527453439877258754598337255343666716311295879692312577122576448337350729<112>
prime factors 素因数	4112231761176170269756255073982711859<37> 775824254998756828637123136378758824145763756171950698245897339694496790931<75>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1248943 Step 1 took 3547ms Step 2 took 2563ms ********** Factor found in step 2: 4112231761176170269756255073982711859 Found prime factor of 37 digits: 4112231761176170269756255073982711859 Prime cofactor 775824254998756828637123136378758824145763756171950698245897339694496790931 has 75 digits
software ソフトウェア	GMP-ECM

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

2×10¹⁷⁸+2249

c136

name 名前	Ignacio Santos
date 日付	January 14, 2022 20:26:22 UTC 2022 年 1 月 15 日 (土) 5 時 26 分 22 秒 (日本時間)
composite number 合成数	4552299564486684790071555106204125975317077774773470207212590188338661205237237887164753163198478895548378892581378812722734140507363827<136>
prime factors 素因数	4382370798338443826521664737180552409691803111<46> 1038775533602192833793646695392899996284393870582713826020752969192781624355241870830721557<91>
factorization results 素因数分解の結果	N=4552299564486684790071555106204125975317077774773470207212590188338661205237237887164753163198478895548378892581378812722734140507363827 ( 136 digits) SNFS difficulty: 177 digits. Divisors found: r1=4382370798338443826521664737180552409691803111 (pp46) r2=1038775533602192833793646695392899996284393870582713826020752969192781624355241870830721557 (pp91) Version: Msieve v. 1.52 (SVN 927) Total time: 46.93 hours. Scaled time: 362.99 units (timescale=7.734). Factorization parameters were as follows: n: 4552299564486684790071555106204125975317077774773470207212590188338661205237237887164753163198478895548378892581378812722734140507363827 m: 100000000000000000000000000000000000 deg: 5 c5: 125 c0: 28 skew: 0.74 # Murphy_E = 1.455e-10 type: snfs lss: 1 rlim: 6300000 alim: 6300000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5Factor base limits: 6300000/6300000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved rational special-q in [3150000, 6250001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 1243854 x 1244086 Total sieving time: 46.49 hours. Total relation processing time: 0.05 hours. Matrix solve time: 0.27 hours. Time per square root: 0.12 hours. Prototype def-par.txt line would be: snfs,177.000,5,0,0,0,0,0,0,0,0,6300000,6300000,28,28,53,53,2.5,2.5,100000 total time: 46.93 hours.
software ソフトウェア	GNFS, Msieve

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	January 2, 2022 22:19:33 UTC 2022 年 1 月 3 日 (月) 7 時 19 分 33 秒 (日本時間)

2×10¹⁸⁰+2249

c168

name 名前	Ignacio Santos
date 日付	January 18, 2022 20:07:48 UTC 2022 年 1 月 19 日 (水) 5 時 7 分 48 秒 (日本時間)
composite number 合成数	527294482143500120023757120774069952032280303923891540537847207885137982188668308788268484087337633459723986562003624152210424546109000310549773100080966735920702215673<168>
prime factors 素因数	929839028721779342195363719898078690024477404997947743482497<60> 567081468787511928904672817932643166023405028330092583705339540047441574591450532141395675200610574505375609<108>
factorization results 素因数分解の結果	N=527294482143500120023757120774069952032280303923891540537847207885137982188668308788268484087337633459723986562003624152210424546109000310549773100080966735920702215673 ( 168 digits) SNFS difficulty: 180 digits. Divisors found: r1=929839028721779342195363719898078690024477404997947743482497 (pp60) r2=567081468787511928904672817932643166023405028330092583705339540047441574591450532141395675200610574505375609 (pp108) Version: Msieve v. 1.52 (SVN 927) Total time: 58.46 hours. Scaled time: 461.79 units (timescale=7.899). Factorization parameters were as follows: n: 527294482143500120023757120774069952032280303923891540537847207885137982188668308788268484087337633459723986562003624152210424546109000310549773100080966735920702215673 m: 1000000000000000000000000000000000000 deg: 5 c5: 1 c0: 224 skew: 2.95 # Murphy_E = 1.242e-10 type: snfs lss: 1 rlim: 7000000 alim: 7000000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5Factor base limits: 7000000/7000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved rational special-q in [3500000, 7400001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 1126580 x 1126809 Total sieving time: 58.15 hours. Total relation processing time: 0.05 hours. Matrix solve time: 0.21 hours. Time per square root: 0.05 hours. Prototype def-par.txt line would be: snfs,180.000,5,0,0,0,0,0,0,0,0,7000000,7000000,28,28,53,53,2.5,2.5,100000 total time: 58.46 hours.
software ソフトウェア	GNFS, Msieve

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	January 5, 2022 13:24:42 UTC 2022 年 1 月 5 日 (水) 22 時 24 分 42 秒 (日本時間)

2×10¹⁸²+2249

c132

name 名前	Ignacio Santos
date 日付	January 17, 2022 23:18:20 UTC 2022 年 1 月 18 日 (火) 8 時 18 分 20 秒 (日本時間)
composite number 合成数	248167722256186865912526045723215845851159720372193282846858687365548192469152692386195470137133110254034820263365889714400203525933<132>
prime factors 素因数	6463419942708877111823355168892943255569<40> 38395729266537113432650875963117423343652950207007576394354932621815933750048825181566046557<92>
factorization results 素因数分解の結果	Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1447579344 Step 1 took 17516ms Step 2 took 9437ms ********** Factor found in step 2: 6463419942708877111823355168892943255569 Found prime factor of 40 digits: 6463419942708877111823355168892943255569 Prime cofactor 38395729266537113432650875963117423343652950207007576394354932621815933750048825181566046557 has 92 digits
software ソフトウェア	GMP-ECM

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	January 5, 2022 19:25:51 UTC 2022 年 1 月 6 日 (木) 4 時 25 分 51 秒 (日本時間)

2×10¹⁸³+2249

c181

name 名前	Bob Backstrom
date 日付	January 10, 2022 07:05:58 UTC 2022 年 1 月 10 日 (月) 16 時 5 分 58 秒 (日本時間)
composite number 合成数	3472222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223<181>
prime factors 素因数	63338185546098053277959203408106915202190451809<47> 2545117425019948468839173606377255817053919767804238659<55> 21539423235913502800417879878564169543953559884348988247515128519006792643688933<80>
factorization results 素因数分解の結果	Number: n N=3472222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223 ( 181 digits) SNFS difficulty: 182 digits. Divisors found: Mon Jan 10 18:00:21 2022 found factor: 2545117425019948468839173606377255817053919767804238659 Mon Jan 10 18:01:09 2022 p47 factor: 63338185546098053277959203408106915202190451809 Mon Jan 10 18:01:09 2022 p55 factor: 2545117425019948468839173606377255817053919767804238659 Mon Jan 10 18:01:09 2022 p80 factor: 21539423235913502800417879878564169543953559884348988247515128519006792643688933 Mon Jan 10 18:01:09 2022 elapsed time 00:19:29 (Msieve 1.54 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.296). Factorization parameters were as follows: # # N = 10^183+224 = 2(181)72 # n: 3472222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223 m: 1000000000000000000000000000000000000 deg: 5 c5: 125 c0: 28 skew: 0.74 # Murphy_E = 9.147e-11 type: snfs lss: 1 rlim: 7600000 alim: 7600000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 7600000/7600000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved special-q in [100000, 9400000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3348474 hash collisions in 30715357 relations (29255388 unique) Msieve: matrix is 802041 x 802269 (274.3 MB) Sieving start time : 2022/01/10 15:13:15 Sieving end time : 2022/01/10 17:40:41 Total sieving time: 2hrs 27min 26secs. Total relation processing time: 0hrs 9min 23sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 2min 26sec. Prototype def-par.txt line would be: snfs,182,5,0,0,0,0,0,0,0,0,7600000,7600000,28,28,53,53,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.117851] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved) [ 0.153509] x86/mm: Memory block size: 128MB [ 0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798736) [ 0.152038] smpboot: Total of 16 processors activated (102389.88 BogoMIPS)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	January 5, 2022 19:50:48 UTC 2022 年 1 月 6 日 (木) 4 時 50 分 48 秒 (日本時間)

2×10¹⁸⁵+2249

c145

name 名前	Ignacio Santos
date 日付	January 5, 2022 22:26:04 UTC 2022 年 1 月 6 日 (木) 7 時 26 分 4 秒 (日本時間)
composite number 合成数	6430867858844066890756590371573081345192227370617530494076041710142985635079027601795487885854377219899448609477208395500142760286225273836333589<145>
prime factors 素因数	449593017651488338880717734354829567<36>
composite cofactor 合成数の残り	14303753853733315552873028363723703188777391681861636655485644602239749118906267396032658453343440120483397867<110>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:58422496 Step 1 took 2563ms ********** Factor found in step 2: 449593017651488338880717734354829567 Found prime factor of 36 digits: 449593017651488338880717734354829567 Composite cofactor 14303753853733315552873028363723703188777391681861636655485644602239749118906267396032658453343440120483397867 has 110 digits
software ソフトウェア	GMP-ECM

c110

name 名前	Eric Jeancolas
date 日付	January 6, 2022 16:01:58 UTC 2022 年 1 月 7 日 (金) 1 時 1 分 58 秒 (日本時間)
composite number 合成数	14303753853733315552873028363723703188777391681861636655485644602239749118906267396032658453343440120483397867<110>
prime factors 素因数	7676505755410973666032985373332856204128891<43> 1863315720652064027558298304847510138116713631913171143223074297937<67>
factorization results 素因数分解の結果	14303753853733315552873028363723703188777391681861636655485644602239749118906267396032658453343440120483397867=76765057554109736660329853733328562041288911863315720652064027558298304847510138116713631913171143223074297937 cado polynomial n: 14303753853733315552873028363723703188777391681861636655485644602239749118906267396032658453343440120483397867 skew: 6027.707 c0: 499024246876020334332318 c1: -341529998068284603335 c2: -70093954204033509 c3: 275901540833 c4: -673793256 c5: 99900 Y0: -867914655559069151095 Y1: 15954636072688247 # MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.717e-06 # f(x) = 99900x^5-673793256x^4+275901540833x^3-70093954204033509x^2-341529998068284603335x+499024246876020334332318 # g(x) = 15954636072688247*x-867914655559069151095 cado parameters (extracts) tasks.lim0 = 1400000 tasks.lim1 = 2500000 tasks.lpb0 = 25 tasks.lpb1 = 26 tasks.sieve.mfb0 = 50 tasks.sieve.mfb1 = 52 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 1863315720652064027558298304847510138116713631913171143223074297937 7676505755410973666032985373332856204128891 Info:Square Root: Total cpu/real time for sqrt: 89.43/26.6358 Info:Generate Free Relations: Total cpu/real time for freerel: 62.44/16.4169 Info:Filtering - Singleton removal: Total cpu/real time for purge: 62.18/71.1067 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 5196491 Info:Lattice Sieving: Average J: 1887.07 for 84385 special-q, max bucket fill -bkmult 1.0,1s:1.301510 Info:Lattice Sieving: Total time: 8166.03s Info:Generate Factor Base: Total cpu/real time for makefb: 2.34/0.649386 Info:Linear Algebra: Total cpu/real time for bwc: 1108.55/288.44 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 669.17, WCT time 172.46, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9216 iterations) Info:Linear Algebra: Lingen CPU time 45.18, WCT time 11.49 Info:Linear Algebra: Mksol: CPU time 370.29, WCT time 94.9, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4608 iterations) Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 20.19/21.8687 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 21.0s Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 258.93 Info:Polynomial Selection (root optimized): Rootsieve time: 258 Info:Filtering - Merging: Merged matrix has 293492 rows and total weight 45766413 (155.9 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 45.02/13.4507 Info:Filtering - Merging: Total cpu/real time for replay: 9.79/7.88781 Info:Quadratic Characters: Total cpu/real time for characters: 10.96/4.23244 Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 11711.3 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11872/31.630/38.736/44.870/1.080 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 9210/31.250/34.330/39.220/0.864 Info:Polynomial Selection (size optimized): Total time: 701.79 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 82.62/91.5496 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 65.5s Info:Square Root: Total cpu/real time for sqrt: 89.43/26.6358 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 17183.2/4837.81 Info:root: Cleaning up computation data in /tmp/cado.b5cb5n9d 1863315720652064027558298304847510138116713631913171143223074297937 7676505755410973666032985373332856204128891
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic\|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	January 6, 2022 15:37:05 UTC 2022 年 1 月 7 日 (金) 0 時 37 分 5 秒 (日本時間)

2×10¹⁸⁶+2249

c145

name 名前	Ray Chandler
date 日付	January 31, 2022 17:28:39 UTC 2022 年 2 月 1 日 (火) 2 時 28 分 39 秒 (日本時間)
composite number 合成数	8485173398597056592046442447512324549000379232556728221299339109291440133534275044458828977015245101701175700783478270441955937893257639641971637<145>
prime factors 素因数	37181207905191985750352600878290412460748271985117592427424987623<65> 228211343220298836767425844070519327248178841280378869543826264383360011885871619<81>
factorization results 素因数分解の結果	01/31/22 08:38:30, 01/31/22 08:38:30, ************************** 01/31/22 08:38:30, Starting factorization of 222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222272 01/31/22 08:38:30, using pretesting plan: normal 01/31/22 08:38:30, using specified qs/gnfs crossover of 100 digits 01/31/22 08:38:30, using specified qs/snfs crossover of 75 digits 01/31/22 08:38:30, ************************** 01/31/22 08:38:30, div: found prime factor = 2 01/31/22 08:38:30, div: found prime factor = 2 01/31/22 08:38:30, div: found prime factor = 2 01/31/22 08:38:30, div: found prime factor = 2 01/31/22 08:38:30, div: found prime factor = 2 01/31/22 08:38:30, div: found prime factor = 2 01/31/22 08:38:30, div: found prime factor = 233 01/31/22 08:38:30, rho: x^2 + 3, starting 1000 iterations on C182 01/31/22 08:38:30, prp5 = 87481 01/31/22 08:38:30, rho: x^2 + 3, starting 1000 iterations on C177 01/31/22 08:38:30, rho: x^2 + 2, starting 1000 iterations on C177 01/31/22 08:38:31, rho: x^2 + 1, starting 1000 iterations on C177 01/31/22 08:38:31, nfs: input divides 10^187 + 2240 01/31/22 08:38:31, nfs: using supplied cofactor: 170348319030316097196051950666232820842187153145270206421878694258820650950041842180628123258069194091696684902331568072303043914046828082410450191795036117577669580157134413551 01/31/22 08:38:31, nfs: input divides 10^187 + 2240 01/31/22 08:38:31, nfs: using supplied cofactor: 170348319030316097196051950666232820842187153145270206421878694258820650950041842180628123258069194091696684902331568072303043914046828082410450191795036117577669580157134413551 01/31/22 08:38:31, nfs: commencing snfs on c177: 170348319030316097196051950666232820842187153145270206421878694258820650950041842180628123258069194091696684902331568072303043914046828082410450191795036117577669580157134413551 01/31/22 08:38:31, pm1: starting B1 = 150K, B2 = gmp-ecm default on C177 01/31/22 08:38:31, nfs: input divides 10^187 + 2240 01/31/22 08:38:31, nfs: using supplied cofactor: 170348319030316097196051950666232820842187153145270206421878694258820650950041842180628123258069194091696684902331568072303043914046828082410450191795036117577669580157134413551 01/31/22 08:38:31, nfs: commencing snfs on c177: 170348319030316097196051950666232820842187153145270206421878694258820650950041842180628123258069194091696684902331568072303043914046828082410450191795036117577669580157134413551 01/31/22 08:38:31, current ECM pretesting depth: 0.00 01/31/22 08:38:31, scheduled 30 curves at B1=2000 toward target pretesting depth of 42.36 01/31/22 08:38:31, ecm: commencing 48 curves using AVX-ECM method on 170348319030316097196051950666232820842187153145270206421878694258820650950041842180628123258069194091696684902331568072303043914046828082410450191795036117577669580157134413551, B1=2k, B2=200k 01/31/22 08:38:31, ecm: finished 384 curves using AVX-ECM method on C177 input, B1=2k, B2=200k 01/31/22 08:38:31, nfs: input divides 10^187 + 2240 01/31/22 08:38:31, nfs: using supplied cofactor: 170348319030316097196051950666232820842187153145270206421878694258820650950041842180628123258069194091696684902331568072303043914046828082410450191795036117577669580157134413551 01/31/22 08:38:31, nfs: commencing snfs on c177: 170348319030316097196051950666232820842187153145270206421878694258820650950041842180628123258069194091696684902331568072303043914046828082410450191795036117577669580157134413551 01/31/22 08:38:31, current ECM pretesting depth: 17.27 01/31/22 08:38:31, scheduled 74 curves at B1=11000 toward target pretesting depth of 42.36 01/31/22 08:38:32, ecm: commencing 96 curves using AVX-ECM method on 170348319030316097196051950666232820842187153145270206421878694258820650950041842180628123258069194091696684902331568072303043914046828082410450191795036117577669580157134413551, B1=11k, B2=1100k 01/31/22 08:38:32, ecm: finished 384 curves using AVX-ECM method on C177 input, B1=11k, B2=1100k 01/31/22 08:38:32, nfs: input divides 10^187 + 2240 01/31/22 08:38:32, nfs: using supplied cofactor: 170348319030316097196051950666232820842187153145270206421878694258820650950041842180628123258069194091696684902331568072303043914046828082410450191795036117577669580157134413551 01/31/22 08:38:32, nfs: commencing snfs on c177: 170348319030316097196051950666232820842187153145270206421878694258820650950041842180628123258069194091696684902331568072303043914046828082410450191795036117577669580157134413551 01/31/22 08:38:32, current ECM pretesting depth: 21.28 01/31/22 08:38:32, scheduled 214 curves at B1=50000 toward target pretesting depth of 42.36 01/31/22 08:38:33, ecm: commencing 240 curves using AVX-ECM method on 170348319030316097196051950666232820842187153145270206421878694258820650950041842180628123258069194091696684902331568072303043914046828082410450191795036117577669580157134413551, B1=50k, B2=5M 01/31/22 08:38:34, ecm: finished 384 curves using AVX-ECM method on C177 input, B1=50k, B2=5M 01/31/22 08:38:34, nfs: input divides 10^187 + 2240 01/31/22 08:38:34, nfs: using supplied cofactor: 170348319030316097196051950666232820842187153145270206421878694258820650950041842180628123258069194091696684902331568072303043914046828082410450191795036117577669580157134413551 01/31/22 08:38:34, nfs: commencing snfs on c177: 170348319030316097196051950666232820842187153145270206421878694258820650950041842180628123258069194091696684902331568072303043914046828082410450191795036117577669580157134413551 01/31/22 08:38:34, pm1: starting B1 = 3750K, B2 = gmp-ecm default on C177 01/31/22 08:38:35, nfs: input divides 10^187 + 2240 01/31/22 08:38:35, nfs: using supplied cofactor: 170348319030316097196051950666232820842187153145270206421878694258820650950041842180628123258069194091696684902331568072303043914046828082410450191795036117577669580157134413551 01/31/22 08:38:35, nfs: commencing snfs on c177: 170348319030316097196051950666232820842187153145270206421878694258820650950041842180628123258069194091696684902331568072303043914046828082410450191795036117577669580157134413551 01/31/22 08:38:35, current ECM pretesting depth: 25.62 01/31/22 08:38:35, scheduled 430 curves at B1=250000 toward target pretesting depth of 42.36 01/31/22 08:38:36, ecm: commencing 432 curves using AVX-ECM method on 170348319030316097196051950666232820842187153145270206421878694258820650950041842180628123258069194091696684902331568072303043914046828082410450191795036117577669580157134413551, B1=250k, B2=25M 01/31/22 08:38:43, ecm: finished 768 curves using AVX-ECM method on C177 input, B1=250k, B2=25M 01/31/22 08:38:43, nfs: input divides 10^187 + 2240 01/31/22 08:38:43, nfs: using supplied cofactor: 170348319030316097196051950666232820842187153145270206421878694258820650950041842180628123258069194091696684902331568072303043914046828082410450191795036117577669580157134413551 01/31/22 08:38:43, nfs: commencing snfs on c177: 170348319030316097196051950666232820842187153145270206421878694258820650950041842180628123258069194091696684902331568072303043914046828082410450191795036117577669580157134413551 01/31/22 08:38:43, pm1: starting B1 = 15M, B2 = gmp-ecm default on C177 01/31/22 08:38:48, nfs: input divides 10^187 + 2240 01/31/22 08:38:48, nfs: using supplied cofactor: 170348319030316097196051950666232820842187153145270206421878694258820650950041842180628123258069194091696684902331568072303043914046828082410450191795036117577669580157134413551 01/31/22 08:38:48, nfs: commencing snfs on c177: 170348319030316097196051950666232820842187153145270206421878694258820650950041842180628123258069194091696684902331568072303043914046828082410450191795036117577669580157134413551 01/31/22 08:38:48, current ECM pretesting depth: 30.81 01/31/22 08:38:48, scheduled 904 curves at B1=1000000 toward target pretesting depth of 42.36 01/31/22 08:38:50, ecm: commencing 912 curves using AVX-ECM method on 170348319030316097196051950666232820842187153145270206421878694258820650950041842180628123258069194091696684902331568072303043914046828082410450191795036117577669580157134413551, B1=1M, B2=100M 01/31/22 08:39:30, ecm: finished 768 curves using AVX-ECM method on C177 input, B1=1M, B2=100M 01/31/22 08:39:31, prp32 = 20075997393109442571533971160723 (curve=1131 stg=2 B1=1000000 B2=100000000 sigma=1856975763 thread=45 vecpos=3) 01/31/22 08:39:31, nfs: input divides 10^187 + 2240 01/31/22 08:39:31, nfs: using supplied cofactor: 8485173398597056592046442447512324549000379232556728221299339109291440133534275044458828977015245101701175700783478270441955937893257639641971637 01/31/22 08:39:31, nfs: commencing snfs on c145: 8485173398597056592046442447512324549000379232556728221299339109291440133534275044458828977015245101701175700783478270441955937893257639641971637 01/31/22 08:39:31, final ECM pretested depth: 35.50 01/31/22 08:39:31, scheduler: switching to sieve method 01/31/22 08:39:31, nfs: commencing nfs on c145: 8485173398597056592046442447512324549000379232556728221299339109291440133534275044458828977015245101701175700783478270441955937893257639641971637 01/31/22 08:39:31, nfs: input divides 10^187 + 2240 01/31/22 08:39:31, nfs: using supplied cofactor: 8485173398597056592046442447512324549000379232556728221299339109291440133534275044458828977015245101701175700783478270441955937893257639641971637 01/31/22 08:39:31, nfs: commencing snfs on c145: 8485173398597056592046442447512324549000379232556728221299339109291440133534275044458828977015245101701175700783478270441955937893257639641971637 01/31/22 08:39:33, test: fb generation took 1.3144 seconds 01/31/22 08:39:33, test: commencing test sieving of polynomial 0 on the rational side over range 11500000-11501000 skew: 2.5700 c5: 5 c0: 112 Y1: -1 Y0: 10000000000000000000000000000000000000 rlim: 11500000 alim: 11500000 mfbr: 56 mfba: 56 lpbr: 28 lpba: 28 rlambda: 2.60 alambda: 2.60 01/31/22 08:40:56, nfs: parsing special-q from .dat file 01/31/22 08:40:56, test: new best estimated total sieving time = 1h 42m 57s (with 48 threads) 01/31/22 08:40:57, test: fb generation took 1.3866 seconds 01/31/22 08:40:57, test: commencing test sieving of polynomial 1 on the rational side over range 12000000-12001000 skew: 5.1772 c5: 5 c0: 3584 Y1: -1 Y0: 20000000000000000000000000000000000000 rlim: 12000000 alim: 12000000 mfbr: 56 mfba: 56 lpbr: 28 lpba: 28 rlambda: 2.60 alambda: 2.60 01/31/22 08:42:05, nfs: parsing special-q from .dat file 01/31/22 08:42:05, test: estimated total sieving time = 1h 57m 36s (with 48 threads) 01/31/22 08:42:07, test: fb generation took 2.0295 seconds 01/31/22 08:42:07, test: commencing test sieving of polynomial 2 on the algebraic side over range 11500000-11501000 skew: 3.0312 c6: 1 c0: 224 Y1: -1 Y0: 10000000000000000000000000000000 rlim: 11500000 alim: 11500000 mfbr: 56 mfba: 56 lpbr: 28 lpba: 28 rlambda: 2.60 alambda: 2.60 01/31/22 08:43:16, nfs: parsing special-q from .dat file 01/31/22 08:43:16, test: estimated total sieving time = 1h 55m 7s (with 48 threads) 01/31/22 08:43:16, nfs: commencing lattice sieving with 48 threads 01/31/22 08:45:45, nfs: commencing lattice sieving with 48 threads 01/31/22 08:48:21, nfs: commencing lattice sieving with 48 threads 01/31/22 08:50:56, nfs: commencing lattice sieving with 48 threads 01/31/22 08:53:30, nfs: commencing lattice sieving with 48 threads 01/31/22 08:56:04, nfs: commencing lattice sieving with 48 threads 01/31/22 08:58:37, nfs: commencing lattice sieving with 48 threads 01/31/22 09:01:14, nfs: commencing lattice sieving with 48 threads 01/31/22 09:03:46, nfs: commencing lattice sieving with 48 threads 01/31/22 09:06:17, nfs: commencing lattice sieving with 48 threads 01/31/22 09:08:53, nfs: commencing lattice sieving with 48 threads 01/31/22 09:11:29, nfs: commencing lattice sieving with 48 threads 01/31/22 09:14:01, nfs: commencing lattice sieving with 48 threads 01/31/22 09:16:35, nfs: commencing lattice sieving with 48 threads 01/31/22 09:19:18, nfs: commencing lattice sieving with 48 threads 01/31/22 09:21:57, nfs: commencing lattice sieving with 48 threads 01/31/22 09:24:31, nfs: commencing lattice sieving with 48 threads 01/31/22 09:27:12, nfs: commencing lattice sieving with 48 threads 01/31/22 09:29:47, nfs: commencing lattice sieving with 48 threads 01/31/22 09:32:19, nfs: commencing lattice sieving with 48 threads 01/31/22 09:35:04, nfs: commencing lattice sieving with 48 threads 01/31/22 09:37:36, nfs: commencing lattice sieving with 48 threads 01/31/22 09:40:15, nfs: commencing lattice sieving with 48 threads 01/31/22 09:42:54, nfs: commencing lattice sieving with 48 threads 01/31/22 09:45:33, nfs: commencing lattice sieving with 48 threads 01/31/22 09:48:07, nfs: commencing lattice sieving with 48 threads 01/31/22 09:50:50, nfs: commencing lattice sieving with 48 threads 01/31/22 09:53:25, nfs: commencing lattice sieving with 48 threads 01/31/22 09:56:00, nfs: commencing lattice sieving with 48 threads 01/31/22 09:58:46, nfs: commencing lattice sieving with 48 threads 01/31/22 10:01:27, nfs: commencing lattice sieving with 48 threads 01/31/22 10:04:02, nfs: commencing lattice sieving with 48 threads 01/31/22 10:06:41, nfs: commencing lattice sieving with 48 threads 01/31/22 10:09:20, nfs: commencing lattice sieving with 48 threads 01/31/22 10:11:54, nfs: commencing lattice sieving with 48 threads 01/31/22 10:14:28, nfs: commencing lattice sieving with 48 threads 01/31/22 10:17:06, nfs: commencing lattice sieving with 48 threads 01/31/22 10:19:46, nfs: commencing msieve filtering 01/31/22 10:21:49, nfs: raising min_rels by 5.00 percent to 10665769 01/31/22 10:21:49, nfs: commencing lattice sieving with 48 threads 01/31/22 10:24:28, nfs: commencing lattice sieving with 48 threads 01/31/22 10:27:12, nfs: commencing msieve filtering 01/31/22 10:29:16, nfs: raising min_rels by 5.00 percent to 11223496 01/31/22 10:29:16, nfs: commencing lattice sieving with 48 threads 01/31/22 10:31:53, nfs: commencing lattice sieving with 48 threads 01/31/22 10:34:30, nfs: commencing lattice sieving with 48 threads 01/31/22 10:37:07, nfs: commencing msieve filtering 01/31/22 10:39:20, nfs: raising min_rels by 5.00 percent to 12059540 01/31/22 10:39:20, nfs: commencing lattice sieving with 48 threads 01/31/22 10:41:59, nfs: commencing lattice sieving with 48 threads 01/31/22 10:44:37, nfs: commencing lattice sieving with 48 threads 01/31/22 10:47:15, nfs: commencing msieve filtering 01/31/22 10:49:37, nfs: raising min_rels by 5.00 percent to 12891730 01/31/22 10:49:37, nfs: commencing lattice sieving with 48 threads 01/31/22 10:52:11, nfs: commencing lattice sieving with 48 threads 01/31/22 10:54:52, nfs: commencing lattice sieving with 48 threads 01/31/22 10:57:31, nfs: commencing msieve filtering 01/31/22 11:01:05, nfs: commencing msieve linear algebra 01/31/22 11:15:05, nfs: commencing msieve sqrt 01/31/22 11:17:27, prp65 = 37181207905191985750352600878290412460748271985117592427424987623 01/31/22 11:17:27, prp81 = 228211343220298836767425844070519327248178841280378869543826264383360011885871619 01/31/22 11:17:27, NFS elapsed time = 9476.3985 seconds. 01/31/22 11:17:27, 01/31/22 11:17:27, 01/31/22 11:17:27, Total factoring time = 9537.2379 seconds
software ソフトウェア	YAFU Version 2.07 Built with GCC 9 Using GMP-ECM 7.0.5-dev, Powered by GMP 6.2.1 Detected Intel(R) Xeon(R) Gold 6248R CPU @ 3.00GHz Detected L1 = 32768 bytes, L2 = 37486592 bytes, CL = 64 bytes Using 1 random witness for Rabin-Miller PRP checks Cached 664579 primes; max prime is 9999991
execution environment 実行環境	Ubuntu 20.04.3 LTS

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	January 6, 2022 11:20:53 UTC 2022 年 1 月 6 日 (木) 20 時 20 分 53 秒 (日本時間)

2×10¹⁸⁷+2249

c152

name 名前	Ignacio Santos
date 日付	January 6, 2022 11:48:42 UTC 2022 年 1 月 6 日 (木) 20 時 48 分 42 秒 (日本時間)
composite number 合成数	11640068883477680734031072230464394835870781148963894001478056044761063807134912865198788528376320161483871860268458408869696119636206895822212260715309<152>
prime factors 素因数	1725366232264986897002745697632297355907<40> 6746433693788649622580098186445315155096927776393393253035010172969826368462877941792504476389277351626501510287<112>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2643316936 Step 1 took 5859ms Step 2 took 3422ms ********** Factor found in step 2: 1725366232264986897002745697632297355907 Found prime factor of 40 digits: 1725366232264986897002745697632297355907 Prime cofactor 6746433693788649622580098186445315155096927776393393253035010172969826368462877941792504476389277351626501510287 has 112 digits
software ソフトウェア	GMP-ECM

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

2×10¹⁹¹+2249

c185

name 名前	Bob Backstrom
date 日付	January 9, 2022 05:48:05 UTC 2022 年 1 月 9 日 (日) 14 時 48 分 5 秒 (日本時間)
composite number 合成数	46991774559781055923971068104239033999488729492789582111547194779025879310085562623118449346626366520804198433106269078660471271108705132253650321047803792424174072570337288161080284507<185>
prime factors 素因数	278283647839811625785041485828630228025925091245044924819913701<63> 168862866807146800170899716502568535494105025551147220185467103397030251723429064311553403936165055147969471075955561068607<123>
factorization results 素因数分解の結果	Number: n N=46991774559781055923971068104239033999488729492789582111547194779025879310085562623118449346626366520804198433106269078660471271108705132253650321047803792424174072570337288161080284507 ( 185 digits) SNFS difficulty: 190 digits. Divisors found: Sun Jan 9 16:42:42 2022 p63 factor: 278283647839811625785041485828630228025925091245044924819913701 Sun Jan 9 16:42:42 2022 p123 factor: 168862866807146800170899716502568535494105025551147220185467103397030251723429064311553403936165055147969471075955561068607 Sun Jan 9 16:42:42 2022 elapsed time 00:34:42 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.299). Factorization parameters were as follows: # # N = 10^191+224 = 2(189)72 # n: 46991774559781055923971068104239033999488729492789582111547194779025879310085562623118449346626366520804198433106269078660471271108705132253650321047803792424174072570337288161080284507 m: 100000000000000000000000000000000000000 deg: 5 c5: 5 c0: 112 skew: 1.86 # Murphy_E = 3.551e-11 type: snfs lss: 1 rlim: 10600000 alim: 10600000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 Factor base limits: 10600000/10600000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 54/54 Sieved special-q in [100000, 18100000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3885030 hash collisions in 30590749 relations (28416876 unique) Msieve: matrix is 1220594 x 1220820 (420.7 MB) Sieving start time : 2022/01/09 10:58:40 Sieving end time : 2022/01/09 16:06:59 Total sieving time: 5hrs 8min 19secs. Total relation processing time: 0hrs 25min 36sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 12sec. Prototype def-par.txt line would be: snfs,190,5,0,0,0,0,0,0,0,0,10600000,10600000,28,28,54,54,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.117851] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved) [ 0.153509] x86/mm: Memory block size: 128MB [ 0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798736) [ 0.152038] smpboot: Total of 16 processors activated (102389.88 BogoMIPS)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

2×10¹⁹²+2249

c181

name 名前	Ignacio Santos
date 日付	January 8, 2022 11:13:05 UTC 2022 年 1 月 8 日 (土) 20 時 13 分 5 秒 (日本時間)
composite number 合成数	4280217651338482838946505884855703074770393897879887378732361588247004124420057268164391743517457546156844351224235091339924805237656839517180661410868114361765482530564973640326163<181>
prime factors 素因数	6837632469465952308539529337602083935241<40>
composite cofactor 合成数の残り	625979484924375547457873696399928755404123624228885898350315894697443264819696253409726223505805718756990875911757519982801961084753177398843<141>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:224466050 Step 1 took 8563ms Step 2 took 4125ms ********** Factor found in step 2: 6837632469465952308539529337602083935241 Found prime factor of 40 digits: 6837632469465952308539529337602083935241 Composite cofactor 625979484924375547457873696399928755404123624228885898350315894697443264819696253409726223505805718756990875911757519982801961084753177398843 has 141 digits
software ソフトウェア	GMP-ECM

c141

name 名前	Ray Chandler
date 日付	February 7, 2022 22:03:49 UTC 2022 年 2 月 8 日 (火) 7 時 3 分 49 秒 (日本時間)
composite number 合成数	625979484924375547457873696399928755404123624228885898350315894697443264819696253409726223505805718756990875911757519982801961084753177398843<141>
prime factors 素因数	583131960152594655060118765047914765182913604352836686637224573949113<69> 1073478265126419244584661476592696730655122818366284059084756123626072211<73>
factorization results 素因数分解の結果	02/07/22 10:37:06, nfs: commencing nfs on c192: 22222222222222222222222222222222222222222222222222222222222222222snfs((10^192+224)2/9, (10^192+224)2/9/(2^613276113236837632469465952308539529337602083935241) ) 2222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222272 02/07/22 10:37:06, nfs: input divides 10^193 + 2240 02/07/22 10:37:06, div: found prime factor = 2 02/07/22 10:37:06, div: found prime factor = 2 02/07/22 10:37:06, div: found prime factor = 2 02/07/22 10:37:06, div: found prime factor = 2 02/07/22 10:37:06, div: found prime factor = 2 02/07/22 10:37:06, div: found prime factor = 2 02/07/22 10:37:06, div: found prime factor = 1327 02/07/22 10:37:06, nfs: commencing snfs on c187: 2616595495269195344553294817047642970777861508833626392028803483211923302352842669346060453822322699489240559323453068743196851712300092104161433475676128275977560077032571380725110943649 02/07/22 10:37:07, test: fb generation took 1.5712 seconds 02/07/22 10:37:07, test: commencing test sieving of polynomial 0 on the rational side over range 13500000-13501000 skew: 1.5863 c5: 25 c0: 56 Y1: -1 Y0: 100000000000000000000000000000000000000 rlim: 13500000 alim: 13500000 mfbr: 56 mfba: 56 lpbr: 28 lpba: 28 rlambda: 2.60 alambda: 2.60 02/07/22 10:38:24, nfs: parsing special-q from .dat file 02/07/22 10:38:24, test: new best estimated total sieving time = 2h 58m 14s (with 40 threads) 02/07/22 10:38:26, test: fb generation took 1.6279 seconds 02/07/22 10:38:26, test: commencing test sieving of polynomial 1 on the rational side over range 13500000-13501000 skew: 3.2666 c5: 25 c0: 1792 Y1: -1 Y0: 200000000000000000000000000000000000000 rlim: 13500000 alim: 13500000 mfbr: 56 mfba: 56 lpbr: 28 lpba: 28 rlambda: 2.60 alambda: 2.60 02/07/22 10:39:42, nfs: parsing special-q from .dat file 02/07/22 10:39:42, test: estimated total sieving time = 3h 22m 45s (with 40 threads) 02/07/22 10:39:45, test: fb generation took 2.3189 seconds 02/07/22 10:39:45, test: commencing test sieving of polynomial 2 on the algebraic side over range 13000000-13001000 skew: 3.1298 c6: 1 c0: 224 Y1: -1 Y0: 100000000000000000000000000000000 rlim: 13000000 alim: 13000000 mfbr: 56 mfba: 56 lpbr: 28snfs((10^192+224)2/9, (10^192+224)2/9/(2^613276113236837632469465952308539529337602083935241) ) lpba: 28 rlambda: 2.60 alambda: 2.60 02/07/22 10:40:04, nfs: parsing special-q from .dat file 02/07/22 10:40:04, test: estimated total sieving time = 4h 8m 38s (with 40 threads) 02/07/22 10:40:04, nfs: commencing lattice sieving with 40 threads 02/07/22 10:40:04, test: test sieving took 178.38 seconds 02/07/22 10:42:40, nfs: refusing to resume without -R option 02/07/22 10:43:44, nfs: refusing to resume without -R option 02/07/22 10:45:01, nfs: commencing nfs on c187: 2616595495269195344553294817047642970777861508833626392028803483211923302352842669346060453822322699489240559323453068743196851712300092104161433475676128275977560077032571380725110943649 02/07/22 10:45:01, nfs: continuing with sieving - could not determine last special q; using default startq 02/07/22 10:45:01, nfs: commencing lattice sieving with 40 threads 02/07/22 10:48:45, nfs: commencing lattice sieving with 40 threads 02/07/22 10:52:27, nfs: commencing lattice sieving with 40 threads 02/07/22 10:56:12, nfs: commencing lattice sieving with 40 threads 02/07/22 10:59:51, nfs: commencing lattice sieving with 40 threads 02/07/22 11:03:37, nfs: commencing lattice sieving with 40 threads 02/07/22 11:07:10, nfs: commencing lattice sieving with 40 threads 02/07/22 11:10:50, nfs: commencing lattice sieving with 40 threads 02/07/22 11:14:32, nfs: commencing lattice sieving with 40 threads 02/07/22 11:18:17, nfs: commencing lattice sieving with 40 threads 02/07/22 11:22:05, nfs: commencing lattice sieving with 40 threads 02/07/22 11:25:53, nfs: commencing lattice sieving with 40 threads 02/07/22 11:29:28, nfs: commencing lattice sieving with 40 threads 02/07/22 11:33:12, nfs: commencing lattice sieving with 40 threads 02/07/22 11:37:04, nfs: commencing lattice sieving with 40 threads 02/07/22 11:40:44, nfs: commencing lattice sieving with 40 threads 02/07/22 11:44:24, nfs: commencing lattice sieving with 40 threads 02/07/22 11:48:13, nfs: commencing lattice sieving with 40 threads 02/07/22 11:52:05, nfs: commencing lattice sieving with 40 threads 02/07/22 11:55:49, nfs: commencing lattice sieving with 40 threads 02/07/22 11:59:42, nfs: commencing lattice sieving with 40 threads 02/07/22 12:03:27, nfs: commencing lattice sieving with 40 threads 02/07/22 12:07:08, nfs: commencing lattice sieving with 40 threads 02/07/22 12:10:56, nfs: commencing lattice sieving with 40 threads 02/07/22 12:14:40, nfs: commencing lattice sieving with 40 threads 02/07/22 12:18:22, nfs: commencing lattice sieving with 40 threads 02/07/22 12:22:08, nfs: commencing lattice sieving with 40 threads 02/07/22 12:25:55, nfs: commencing lattice sieving with 40 threads 02/07/22 12:29:38, nfs: commencing lattice sieving with 40 threads 02/07/22 12:33:21, nfs: commencing lattice sieving with 40 threads 02/07/22 12:37:11, nfs: commencing lattice sieving with 40 threads 02/07/22 12:40:55, nfs: commencing lattice sieving with 40 threads 02/07/22 12:44:48, nfs: commencing lattice sieving with 40 threads 02/07/22 12:48:35, nfs: commencing lattice sieving with 40 threads 02/07/22 12:52:20, nfs: commencing lattice sieving with 40 threads 02/07/22 12:56:07, nfs: commencing lattice sieving with 40 threads 02/07/22 13:00:01, nfs: commencing lattice sieving with 40 threads 02/07/22 13:03:49, nfs: commencing lattice sieving with 40 threads 02/07/22 13:07:32, nfs: commencing lattice sieving with 40 threads 02/07/22 13:11:18, nfs: commencing lattice sieving with 40 threads 02/07/22 13:15:05, nfs: commencing lattice sieving with 40 threads 02/07/22 13:18:50, nfs: commencing lattice sieving with 40 threads 02/07/22 13:22:33, nfs: commencing lattice sieving with 40 threads 02/07/22 13:26:26, nfs: commencing lattice sieving with 40 threads 02/07/22 13:30:15, nfs: commencing lattice sieving with 40 threads 02/07/22 13:34:04, nfs: commencing lattice sieving with 40 threads 02/07/22 13:37:49, nfs: commencing lattice sieving with 40 threads 02/07/22 13:41:37, nfs: commencing lattice sieving with 40 threads 02/07/22 13:45:25, nfs: commencing lattice sieving with 40 threads 02/07/22 13:49:09, nfs: commencing lattice sieving with 40 threads 02/07/22 13:53:00, nfs: commencing lattice sieving with 40 threads 02/07/22 13:56:44, nfs: commencing msieve filtering 02/07/22 13:58:42, nfs: raising min_rels by 5.00 percent to 10566061 02/07/22 13:58:42, nfs: commencing lattice sieving with 40 threads 02/07/22 14:02:32, nfs: commencing lattice sieving with 40 threads 02/07/22 14:06:24, nfs: commencing lattice sieving with 40 threads 02/07/22 14:10:14, nfs: commencing msieve filtering 02/07/22 14:12:20, nfs: raising min_rels by 5.00 percent to 11167030 02/07/22 14:12:20, nfs: commencing lattice sieving with 40 threads 02/07/22 14:16:09, nfs: commencing lattice sieving with 40 threads 02/07/22 14:19:58, nfs: commencing lattice sieving with 40 threads 02/07/22 14:23:51, nfs: commencing msieve filtering 02/07/22 14:26:02, nfs: raising min_rels by 5.00 percent to 11764552 02/07/22 14:26:02, nfs: commencing lattice sieving with 40 threads 02/07/22 14:29:56, nfs: commencing lattice sieving with 40 threads 02/07/22 14:33:49, nfs: commencing lattice sieving with 40 threads 02/07/22 14:37:42, nfs: commencing msieve filtering 02/07/22 14:39:59, nfs: raising min_rels by 5.00 percent to 12361001 02/07/22 14:39:59, nfs: commencing lattice sieving with 40 threads 02/07/22 14:43:52, nfs: commencing lattice sieving with 40 threads 02/07/22 14:47:36, nfs: commencing lattice sieving with 40 threads 02/07/22 14:51:27, nfs: commencing lattice sieving with 40 threads 02/07/22 14:55:20, nfs: commencing msieve filtering 02/07/22 14:57:44, nfs: raising min_rels by 5.00 percent to 13154269 02/07/22 14:57:44, nfs: commencing lattice sieving with 40 threads 02/07/22 15:01:50, nfs: commencing lattice sieving with 40 threads 02/07/22 15:05:42, nfs: commencing lattice sieving with 40 threads 02/07/22 15:09:31, nfs: commencing lattice sieving with 40 threads 02/07/22 15:13:18, nfs: commencing msieve filtering 02/07/22 15:17:09, nfs: commencing msieve linear algebra 02/07/22 15:37:54, nfs: commencing msieve sqrt 02/07/22 15:52:24, prp69 = 583131960152594655060118765047914765182913604352836686637224573949113 02/07/22 15:52:24, prp73 = 1073478265126419244584661476592696730655122818366284059084756123626072211 02/07/22 15:52:24, prp40 = 6837632469465952308539529337602083935241 02/07/22 15:52:24, prp6 = 611323 02/07/22 15:52:24, NFS elapsed time = 18443.0613 seconds. 02/07/22 15:52:24, 02/07/22 15:52:24,
software ソフトウェア	YAFU Version 2.07 Built with GCC 9 Using GMP-ECM 7.0.5-dev, Powered by GMP 6.2.1 Detected Intel(R) Xeon(R) Gold 5218R CPU @ 2.10GHz Detected L1 = 32768 bytes, L2 = 28835840 bytes, CL = 64 bytes Using 1 random witness for Rabin-Miller PRP checks Cached 664579 primes; max prime is 9999991
execution environment 実行環境	Ubuntu 20.04.3 LTS

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	2350	Ignacio Santos	January 10, 2022 19:02:56 UTC 2022 年 1 月 11 日 (火) 4 時 2 分 56 秒 (日本時間)
45	11e6	4480	Ignacio Santos	February 5, 2022 14:53:38 UTC 2022 年 2 月 5 日 (土) 23 時 53 分 38 秒 (日本時間)

2×10¹⁹³+2249

c136

name 名前	Ray Chandler
date 日付	February 8, 2022 04:31:50 UTC 2022 年 2 月 8 日 (火) 13 時 31 分 50 秒 (日本時間)
composite number 合成数	5333419844335617167077346302829351929511197696932099437862110414157026476524995858086636350210143493999040514891354838513854558832434729<136>
prime factors 素因数	12222465835309392834906773278174880026671965030974629027059141<62> 436362016977616684464964507356404212203168767845283105699323132524812194069<75>
factorization results 素因数分解の結果	02/07/22 16:17:50, nfs: commencing nfs on c193: 2222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222272 02/07/22 16:17:50, nfs: input divides 10^194 + 2240 02/07/22 16:17:50, nfs: using supplied cofactor: 5333419844335617167077346302829351929511197696932099437862110414157026476524995858086636350210143493999040514891354838513854558832434729 02/07/22 16:17:50, nfs: commencing snfs on c136: 5333419844335617167077346302829351929511197696932099437862110414157026476524995858086636350210143493999040514891354838513854558832434729 02/07/22 16:17:52, test: fb generation took 1.5854 seconds 02/07/22 16:17:52, test: commencing test sieving of polynomial 0 on the rational side over range 13500000-13501000 skew: 1.0231 c5: 125 c0: 28 Y1: -1 Y0: 100000000000000000000000000000000000000 rlim: 13500000 alim: 13500000 mfbr: 56 mfba: 56 lpbr: 28 lpba: 28 rlambda: 2.60 alambda: 2.60 02/07/22 16:19:09, nfs: parsing special-q from .dat file 02/07/22 16:19:09, test: new best estimated total sieving time = 2h 43m 34s (with 40 threads) 02/07/22 16:19:11, test: fb generation took 1.6006 seconds 02/07/22 16:19:11, test: commencing test sieving of polynomial 1 on the rational side over range 14000000-14001000 skew: 5.0786 c5: 1 c0: 700 Y1: -1 Y0: 500000000000000000000000000000000000000 rlim: 14000000 alim: 14000000 mfbr: 56 mfba: 56 lpbr: 28 lpba: 28 rlambda: 2.60 alambda: 2.60 02/07/22 16:20:29, nfs: parsing special-q from .dat file 02/07/22 16:20:29, test: estimated total sieving time = 2h 47m 0s (with 40 threads) 02/07/22 16:20:32, test: fb generation took 2.4488 seconds 02/07/22 16:20:32, test: commencing test sieving of polynomial 2 on the algebraic side over range 13500000-13501000 skew: 2.1155 c6: 5 c0: 112 Y1: -1 Y0: 100000000000000000000000000000000 rlim: 13500000 alim: 13500000 mfbr: 56 mfba: 56 lpbr: 28 lpba: 28 rlambda: 2.60 alambda: 2.60 02/07/22 16:21:59, nfs: parsing special-q from .dat file 02/07/22 16:21:59, test: estimated total sieving time = 3h 26m 21s (with 40 threads) 02/07/22 16:21:59, nfs: commencing lattice sieving with 40 threads 02/07/22 16:25:46, nfs: commencing lattice sieving with 40 threads 02/07/22 16:29:31, nfs: commencing lattice sieving with 40 threads 02/07/22 16:33:17, nfs: commencing lattice sieving with 40 threads 02/07/22 16:36:57, nfs: commencing lattice sieving with 40 threads 02/07/22 16:40:45, nfs: commencing lattice sieving with 40 threads 02/07/22 16:44:20, nfs: commencing lattice sieving with 40 threads 02/07/22 16:48:03, nfs: commencing lattice sieving with 40 threads 02/07/22 16:51:48, nfs: commencing lattice sieving with 40 threads 02/07/22 16:55:34, nfs: commencing lattice sieving with 40 threads 02/07/22 16:59:27, nfs: commencing lattice sieving with 40 threads 02/07/22 17:03:16, nfs: commencing lattice sieving with 40 threads 02/07/22 17:06:52, nfs: commencing lattice sieving with 40 threads 02/07/22 17:10:36, nfs: commencing lattice sieving with 40 threads 02/07/22 17:14:34, nfs: commencing lattice sieving with 40 threads 02/07/22 17:18:18, nfs: commencing lattice sieving with 40 threads 02/07/22 17:22:00, nfs: commencing lattice sieving with 40 threads 02/07/22 17:25:50, nfs: commencing lattice sieving with 40 threads 02/07/22 17:29:44, nfs: commencing lattice sieving with 40 threads 02/07/22 17:33:30, nfs: commencing lattice sieving with 40 threads 02/07/22 17:37:26, nfs: commencing lattice sieving with 40 threads 02/07/22 17:41:12, nfs: commencing lattice sieving with 40 threads 02/07/22 17:44:57, nfs: commencing lattice sieving with 40 threads 02/07/22 17:48:47, nfs: commencing lattice sieving with 40 threads 02/07/22 17:52:34, nfs: commencing lattice sieving with 40 threads 02/07/22 17:56:18, nfs: commencing lattice sieving with 40 threads 02/07/22 18:00:05, nfs: commencing lattice sieving with 40 threads 02/07/22 18:03:54, nfs: commencing lattice sieving with 40 threads 02/07/22 18:07:39, nfs: commencing lattice sieving with 40 threads 02/07/22 18:11:25, nfs: commencing lattice sieving with 40 threads 02/07/22 18:15:17, nfs: commencing lattice sieving with 40 threads 02/07/22 18:19:02, nfs: commencing lattice sieving with 40 threads 02/07/22 18:22:58, nfs: commencing lattice sieving with 40 threads 02/07/22 18:26:47, nfs: commencing lattice sieving with 40 threads 02/07/22 18:30:34, nfs: commencing lattice sieving with 40 threads 02/07/22 18:34:23, nfs: commencing lattice sieving with 40 threads 02/07/22 18:38:18, nfs: commencing lattice sieving with 40 threads 02/07/22 18:42:08, nfs: commencing lattice sieving with 40 threads 02/07/22 18:45:52, nfs: commencing lattice sieving with 40 threads 02/07/22 18:49:40, nfs: commencing lattice sieving with 40 threads 02/07/22 18:53:30, nfs: commencing lattice sieving with 40 threads 02/07/22 18:57:16, nfs: commencing lattice sieving with 40 threads 02/07/22 19:01:02, nfs: commencing lattice sieving with 40 threads 02/07/22 19:04:58, nfs: commencing lattice sieving with 40 threads 02/07/22 19:08:49, nfs: commencing lattice sieving with 40 threads 02/07/22 19:12:40, nfs: commencing lattice sieving with 40 threads 02/07/22 19:16:27, nfs: commencing lattice sieving with 40 threads 02/07/22 19:20:15, nfs: commencing msieve filtering 02/07/22 19:22:18, nfs: raising min_rels by 5.00 percent to 10674478 02/07/22 19:22:18, nfs: commencing lattice sieving with 40 threads 02/07/22 19:26:08, nfs: commencing lattice sieving with 40 threads 02/07/22 19:29:53, nfs: commencing lattice sieving with 40 threads 02/07/22 19:33:45, nfs: commencing msieve filtering 02/07/22 19:35:54, nfs: raising min_rels by 5.00 percent to 11337490 02/07/22 19:35:54, nfs: commencing lattice sieving with 40 threads 02/07/22 19:39:40, nfs: commencing lattice sieving with 40 threads 02/07/22 19:43:32, nfs: commencing lattice sieving with 40 threads 02/07/22 19:47:24, nfs: commencing msieve filtering 02/07/22 19:49:40, nfs: raising min_rels by 5.00 percent to 11993510 02/07/22 19:49:40, nfs: commencing lattice sieving with 40 threads 02/07/22 19:53:33, nfs: commencing lattice sieving with 40 threads 02/07/22 19:57:23, nfs: commencing lattice sieving with 40 threads 02/07/22 20:01:15, nfs: commencing msieve filtering 02/07/22 20:03:38, nfs: raising min_rels by 5.00 percent to 12648224 02/07/22 20:03:38, nfs: commencing lattice sieving with 40 threads 02/07/22 20:07:33, nfs: commencing lattice sieving with 40 threads 02/07/22 20:11:28, nfs: commencing lattice sieving with 40 threads 02/07/22 20:15:24, nfs: commencing msieve filtering 02/07/22 20:19:46, nfs: raising min_rels by 5.00 percent to 13298214 02/07/22 20:19:46, nfs: commencing lattice sieving with 40 threads 02/07/22 20:23:41, nfs: commencing lattice sieving with 40 threads 02/07/22 20:27:36, nfs: commencing lattice sieving with 40 threads 02/07/22 20:31:22, nfs: commencing lattice sieving with 40 threads 02/07/22 20:35:15, nfs: commencing msieve filtering 02/07/22 20:39:07, nfs: commencing msieve linear algebra 02/07/22 20:58:27, nfs: commencing msieve sqrt 02/07/22 16:21:59, test: test sieving took 249.36 seconds 02/07/22 21:50:24, nfs: previous data file found - commencing search for last special-q 02/07/22 21:50:25, nfs: parsing special-q from .dat file 02/07/22 21:50:25, nfs: commencing nfs on c136: 5333419844335617167077346302829351929511197696932099437862110414157026476524995858086636350210143493999040514891354838513854558832434729 02/07/22 21:50:25, nfs: resuming with filtering 02/07/22 21:50:25, nfs: commencing msieve filtering 02/07/22 21:54:16, nfs: commencing msieve linear algebra 02/07/22 22:13:09, nfs: commencing msieve sqrt 02/07/22 22:16:14, prp75 = 436362016977616684464964507356404212203168767845283105699323132524812194069 02/07/22 22:16:14, prp62 = 12222465835309392834906773278174880026671965030974629027059141 02/07/22 22:16:15, NFS elapsed time = 1550.7085 seconds. 02/07/22 22:16:15, 02/07/22 22:16:15,
software ソフトウェア	YAFU Version 2.07 Built with GCC 9 Using GMP-ECM 7.0.5-dev, Powered by GMP 6.2.1 Detected Intel(R) Xeon(R) Gold 5218R CPU @ 2.10GHz Detected L1 = 32768 bytes, L2 = 28835840 bytes, CL = 64 bytes Using 1 random witness for Rabin-Miller PRP checks Cached 664579 primes; max prime is 9999991
execution environment 実行環境	Ubuntu 20.04.3 LTS

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	2350	Ignacio Santos	January 8, 2022 12:05:31 UTC 2022 年 1 月 8 日 (土) 21 時 5 分 31 秒 (日本時間)
45	11e6	4480	Ignacio Santos	February 5, 2022 14:53:51 UTC 2022 年 2 月 5 日 (土) 23 時 53 分 51 秒 (日本時間)

2×10¹⁹⁴+2249

c144

name 名前	Ignacio Santos
date 日付	January 8, 2022 11:35:38 UTC 2022 年 1 月 8 日 (土) 20 時 35 分 38 秒 (日本時間)
composite number 合成数	268178296298606386262011246674740103457142350717565431333192492025625733081563821440591208421385940367837608147701569255786993234560002829125663<144>
prime factors 素因数	13799852782681557185123338360824891391217<41> 19433417190882131045625681367571902982739617779504045360614312183092825894394542987185126125762564314639<104>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:404070445 Step 1 took 5797ms Step 2 took 3359ms ********** Factor found in step 2: 13799852782681557185123338360824891391217 Found prime factor of 41 digits: 13799852782681557185123338360824891391217 Prime cofactor 19433417190882131045625681367571902982739617779504045360614312183092825894394542987185126125762564314639 has 104 digits
software ソフトウェア	GMP-ECM

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

2×10¹⁹⁵+2249

c186

name 名前	Bob Backstrom
date 日付	January 12, 2022 09:04:45 UTC 2022 年 1 月 12 日 (水) 18 時 4 分 45 秒 (日本時間)
composite number 合成数	191412798016480746037781113199378798399392095004253988649165950736863013504721106316235833822109741324377247955728161510211082622149035768595978428751571858927775577908772733967859714767<186>
prime factors 素因数	412413903322025937075333061622933824325534211066684893942474138102424318691874089486073<87> 464127897907019698100402256582478471832495360735186996712673840572130613864020775277283393513155079<99>
factorization results 素因数分解の結果	Number: n N=191412798016480746037781113199378798399392095004253988649165950736863013504721106316235833822109741324377247955728161510211082622149035768595978428751571858927775577908772733967859714767 ( 186 digits) SNFS difficulty: 195 digits. Divisors found: Wed Jan 12 19:57:21 2022 p87 factor: 412413903322025937075333061622933824325534211066684893942474138102424318691874089486073 Wed Jan 12 19:57:21 2022 p99 factor: 464127897907019698100402256582478471832495360735186996712673840572130613864020775277283393513155079 Wed Jan 12 19:57:21 2022 elapsed time 00:41:22 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.322). Factorization parameters were as follows: # # N = 10^195+224 = 2(193)72 # n: 191412798016480746037781113199378798399392095004253988649165950736863013504721106316235833822109741324377247955728161510211082622149035768595978428751571858927775577908772733967859714767 m: 1000000000000000000000000000000000000000 deg: 5 c5: 1 c0: 224 skew: 2.95 # Murphy_E = 3.017e-11 type: snfs lss: 1 rlim: 12400000 alim: 12400000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 12400000/12400000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved special-q in [100000, 19000000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3450929 hash collisions in 30545029 relations (28928878 unique) Msieve: matrix is 1332462 x 1332687 (460.2 MB) Sieving start time : 2022/01/12 13:37:45 Sieving end time : 2022/01/12 19:15:23 Total sieving time: 5hrs 37min 38secs. Total relation processing time: 0hrs 31min 56sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 18sec. Prototype def-par.txt line would be: snfs,195,5,0,0,0,0,0,0,0,0,12400000,12400000,28,28,55,55,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.117851] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved) [ 0.153509] x86/mm: Memory block size: 128MB [ 0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798736) [ 0.152038] smpboot: Total of 16 processors activated (102389.88 BogoMIPS)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	January 10, 2022 20:51:30 UTC 2022 年 1 月 11 日 (火) 5 時 51 分 30 秒 (日本時間)

2×10¹⁹⁶+2249

c147

name 名前	Ray Chandler
date 日付	February 8, 2022 14:03:04 UTC 2022 年 2 月 8 日 (火) 23 時 3 分 4 秒 (日本時間)
composite number 合成数	747264777950179659564217839914453789079817135203002574194661219573387865872968322052286624287745597294017523999679566604409240525243553804417035141<147>
prime factors 素因数	95798808652637042519972154889535045757894692128438431397<56> 7800355645963555414787583370222949841125513982012474859042341195125404591378863077777216353<91>
factorization results 素因数分解の結果	02/07/22 22:33:48, nfs: commencing nfs on c196: 2222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222272 02/07/22 22:33:48, nfs: input divides 10^197 + 2240 02/07/22 22:33:48, nfs: using supplied cofactor: 747264777950179659564217839914453789079817135203002574194661219573387865872968322052286624287745597294017523999679566604409240525243553804417035141 02/07/22 22:33:48, nfs: commencing snfs on c147: 747264777950179659564217839914453789079817135203002574194661219573387865872968322052286624287745597294017523999679566604409240525243553804417035141 02/07/22 22:33:50, test: fb generation took 1.7172 seconds 02/07/22 22:33:50, test: commencing test sieving of polynomial 0 on the rational side over range 15000000-15001000 skew: 2.5141 c5: 5 c0: 112 Y1: -1 Y0: 1000000000000000000000000000000000000000 rlim: 15000000 alim: 15000000 mfbr: 56 mfba: 56 lpbr: 28 lpba: 28 rlambda: 2.60 alambda: 2.60 02/07/22 22:35:01, nfs: parsing special-q from .dat file 02/07/22 22:35:01, test: new best estimated total sieving time = 4h 5m 27s (with 40 threads) 02/07/22 22:35:03, test: fb generation took 1.7161 seconds 02/07/22 22:35:03, test: commencing test sieving of polynomial 1 on the rational side over range 15000000-15001000 skew: 4.8792 c5: 5 c0: 3584 Y1: -1 Y0: 2000000000000000000000000000000000000000 rlim: 15000000 alim: 15000000 mfbr: 56 mfba: 56 lpbr: 28 lpba: 28 rlambda: 2.60 alambda: 2.60 02/07/22 22:36:14, nfs: parsing special-q from .dat file 02/07/22 22:36:14, test: estimated total sieving time = 4h 28m 51s (with 40 threads) 02/07/22 22:36:16, test: fb generation took 2.6456 seconds 02/07/22 22:36:16, test: commencing test sieving of polynomial 2 on the algebraic side over range 15000000-15001000 skew: 3.2122 c6: 1 c0: 350 Y1: -1 Y0: 500000000000000000000000000000000 rlim: 15000000 alim: 15000000 mfbr: 56 mfba: 56 lpbr: 28 lpba: 28 rlambda: 2.60 alambda: 2.60 02/07/22 22:37:34, nfs: parsing special-q from .dat file 02/07/22 22:37:34, test: estimated total sieving time = 4h 18m 50s (with 40 threads) 02/07/22 22:37:34, nfs: commencing lattice sieving with 40 threads 02/07/22 22:41:21, nfs: commencing lattice sieving with 40 threads 02/07/22 22:45:11, nfs: commencing lattice sieving with 40 threads 02/07/22 22:48:56, nfs: commencing lattice sieving with 40 threads 02/07/22 22:52:50, nfs: commencing lattice sieving with 40 threads 02/07/22 22:56:34, nfs: commencing lattice sieving with 40 threads 02/07/22 23:00:16, nfs: commencing lattice sieving with 40 threads 02/07/22 23:04:07, nfs: commencing lattice sieving with 40 threads 02/07/22 23:08:00, nfs: commencing lattice sieving with 40 threads 02/07/22 23:11:48, nfs: commencing lattice sieving with 40 threads 02/07/22 23:15:41, nfs: commencing lattice sieving with 40 threads 02/07/22 23:19:33, nfs: commencing lattice sieving with 40 threads 02/07/22 23:23:20, nfs: commencing lattice sieving with 40 threads 02/07/22 23:27:04, nfs: commencing lattice sieving with 40 threads 02/07/22 23:30:55, nfs: commencing lattice sieving with 40 threads 02/07/22 23:34:40, nfs: commencing lattice sieving with 40 threads 02/07/22 23:38:26, nfs: commencing lattice sieving with 40 threads 02/07/22 23:42:13, nfs: commencing lattice sieving with 40 threads 02/07/22 23:46:03, nfs: commencing lattice sieving with 40 threads 02/07/22 23:49:45, nfs: commencing lattice sieving with 40 threads 02/07/22 23:53:38, nfs: commencing lattice sieving with 40 threads 02/07/22 23:57:23, nfs: commencing lattice sieving with 40 threads 02/08/22 00:01:19, nfs: commencing lattice sieving with 40 threads 02/08/22 00:05:04, nfs: commencing lattice sieving with 40 threads 02/08/22 00:08:52, nfs: commencing lattice sieving with 40 threads 02/08/22 00:12:39, nfs: commencing lattice sieving with 40 threads 02/08/22 00:16:30, nfs: commencing lattice sieving with 40 threads 02/08/22 00:20:25, nfs: commencing lattice sieving with 40 threads 02/08/22 00:24:15, nfs: commencing lattice sieving with 40 threads 02/08/22 00:28:03, nfs: commencing lattice sieving with 40 threads 02/08/22 00:31:46, nfs: commencing lattice sieving with 40 threads 02/08/22 00:35:36, nfs: commencing lattice sieving with 40 threads 02/08/22 00:39:23, nfs: commencing lattice sieving with 40 threads 02/08/22 00:43:16, nfs: commencing lattice sieving with 40 threads 02/08/22 00:47:11, nfs: commencing lattice sieving with 40 threads 02/08/22 00:51:03, nfs: commencing lattice sieving with 40 threads 02/08/22 00:54:54, nfs: commencing lattice sieving with 40 threads 02/08/22 00:58:42, nfs: commencing lattice sieving with 40 threads 02/08/22 01:02:30, nfs: commencing lattice sieving with 40 threads 02/08/22 01:06:21, nfs: commencing lattice sieving with 40 threads 02/08/22 01:10:12, nfs: commencing lattice sieving with 40 threads 02/08/22 01:14:03, nfs: commencing lattice sieving with 40 threads 02/08/22 01:17:55, nfs: commencing lattice sieving with 40 threads 02/08/22 01:21:46, nfs: commencing lattice sieving with 40 threads 02/08/22 01:25:39, nfs: commencing lattice sieving with 40 threads 02/08/22 01:29:31, nfs: commencing lattice sieving with 40 threads 02/08/22 01:33:22, nfs: commencing lattice sieving with 40 threads 02/08/22 01:37:13, nfs: commencing lattice sieving with 40 threads 02/08/22 01:41:10, nfs: commencing lattice sieving with 40 threads 02/08/22 01:45:04, nfs: commencing lattice sieving with 40 threads 02/08/22 01:49:01, nfs: commencing lattice sieving with 40 threads 02/08/22 01:52:57, nfs: commencing lattice sieving with 40 threads 02/08/22 01:56:51, nfs: commencing lattice sieving with 40 threads 02/08/22 02:00:41, nfs: commencing lattice sieving with 40 threads 02/08/22 02:04:35, nfs: commencing lattice sieving with 40 threads 02/08/22 02:08:31, nfs: commencing lattice sieving with 40 threads 02/08/22 02:12:39, nfs: commencing lattice sieving with 40 threads 02/08/22 02:16:33, nfs: commencing lattice sieving with 40 threads 02/08/22 02:20:24, nfs: commencing lattice sieving with 40 threads 02/08/22 02:24:21, nfs: commencing lattice sieving with 40 threads 02/08/22 02:28:20, nfs: commencing lattice sieving with 40 threads 02/08/22 02:32:28, nfs: commencing lattice sieving with 40 threads 02/08/22 02:36:26, nfs: commencing lattice sieving with 40 threads 02/08/22 02:40:18, nfs: commencing lattice sieving with 40 threads 02/08/22 02:44:15, nfs: commencing lattice sieving with 40 threads 02/08/22 02:48:12, nfs: commencing lattice sieving with 40 threads 02/08/22 02:52:14, nfs: commencing lattice sieving with 40 threads 02/08/22 02:56:14, nfs: commencing lattice sieving with 40 threads 02/08/22 03:00:13, nfs: commencing lattice sieving with 40 threads 02/08/22 03:04:10, nfs: commencing lattice sieving with 40 threads 02/08/22 03:08:03, nfs: commencing lattice sieving with 40 threads 02/08/22 03:11:51, nfs: commencing lattice sieving with 40 threads 02/08/22 03:15:48, nfs: commencing lattice sieving with 40 threads 02/08/22 03:19:42, nfs: commencing lattice sieving with 40 threads 02/08/22 03:23:49, nfs: commencing lattice sieving with 40 threads 02/08/22 03:27:41, nfs: commencing msieve filtering 02/08/22 03:31:50, nfs: raising min_rels by 5.00 percent to 22085921 02/08/22 03:31:50, nfs: commencing lattice sieving with 40 threads 02/08/22 03:35:40, nfs: commencing lattice sieving with 40 threads 02/08/22 03:39:38, nfs: commencing lattice sieving with 40 threads 02/08/22 03:43:37, nfs: commencing lattice sieving with 40 threads 02/08/22 03:47:43, nfs: commencing msieve filtering 02/08/22 03:52:11, nfs: raising min_rels by 5.00 percent to 23229022 02/08/22 03:52:11, nfs: commencing lattice sieving with 40 threads 02/08/22 03:56:11, nfs: commencing lattice sieving with 40 threads 02/08/22 04:00:08, nfs: commencing lattice sieving with 40 threads 02/08/22 04:04:06, nfs: commencing lattice sieving with 40 threads 02/08/22 04:08:11, nfs: commencing lattice sieving with 40 threads 02/08/22 04:12:02, nfs: commencing msieve filtering 02/08/22 04:18:38, nfs: commencing msieve linear algebra 02/08/22 04:54:15, nfs: commencing msieve sqrt 02/08/22 06:24:23, prp56 = 95798808652637042519972154889535045757894692128438431397 02/08/22 06:24:23, C49 = 2973808331121928465454157800601614683668790067392 02/08/22 06:24:23, prp91 = 7800355645963555414787583370222949841125513982012474859042341195125404591378863077777216353
software ソフトウェア	YAFU Version 2.07 Built with GCC 9 Using GMP-ECM 7.0.5-dev, Powered by GMP 6.2.1 Detected Intel(R) Xeon(R) Gold 5218R CPU @ 2.10GHz Detected L1 = 32768 bytes, L2 = 28835840 bytes, CL = 64 bytes Using 1 random witness for Rabin-Miller PRP checks Cached 664579 primes; max prime is 9999991
execution environment 実行環境	Ubuntu 20.04.3 LTS

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	2350	Ignacio Santos	January 12, 2022 14:43:58 UTC 2022 年 1 月 12 日 (水) 23 時 43 分 58 秒 (日本時間)
45	11e6	4480	Ignacio Santos	January 31, 2022 18:48:13 UTC 2022 年 2 月 1 日 (火) 3 時 48 分 13 秒 (日本時間)

2×10¹⁹⁷+2249

c162

name 名前	Bob Backstrom
date 日付	February 4, 2022 16:27:09 UTC 2022 年 2 月 5 日 (土) 1 時 27 分 9 秒 (日本時間)
composite number 合成数	161835377643512155221861204960347516913324439384027471126487490811848619464356483366376797104117670377494859742728934338802198717290915669913152089651613693570651<162>
prime factors 素因数	13841207887260696288978400313783897816606308068067<50> 11692287187772373015463491453944728990331248142491526020791793450377071585747460188704931541638160113028754829353<113>
factorization results 素因数分解の結果	Number: n N=161835377643512155221861204960347516913324439384027471126487490811848619464356483366376797104117670377494859742728934338802198717290915669913152089651613693570651 ( 162 digits) SNFS difficulty: 196 digits. Divisors found: Sat Feb 5 03:21:58 2022 p50 factor: 13841207887260696288978400313783897816606308068067 Sat Feb 5 03:21:58 2022 p113 factor: 11692287187772373015463491453944728990331248142491526020791793450377071585747460188704931541638160113028754829353 Sat Feb 5 03:21:58 2022 elapsed time 00:59:49 (Msieve 1.54 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.316). Factorization parameters were as follows: # # N = 10^197+224 = 2(195)72 # n: 161835377643512155221861204960347516913324439384027471126487490811848619464356483366376797104117670377494859742728934338802198717290915669913152089651613693570651 m: 1000000000000000000000000000000000000000 deg: 5 c5: 25 c0: 56 skew: 1.18 # Murphy_E = 2.136e-11 type: snfs lss: 1 rlim: 13100000 alim: 13100000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 13100000/13100000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved special-q in [100000, 26550000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 4035679 hash collisions in 34325892 relations (31555998 unique) Msieve: matrix is 1498701 x 1498927 (519.3 MB) Sieving start time : 2022/02/04 19:07:06 Sieving end time : 2022/02/05 02:21:36 Total sieving time: 7hrs 14min 30secs. Total relation processing time: 0hrs 42min 33sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 4min 51sec. Prototype def-par.txt line would be: snfs,196,5,0,0,0,0,0,0,0,0,13100000,13100000,28,28,55,55,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.116821] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved) [ 0.152622] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.24 BogoMIPS (lpj=12798480) [ 0.150214] smpboot: Total of 16 processors activated (102387.84 BogoMIPS)

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	2350	Ignacio Santos	January 12, 2022 19:51:51 UTC 2022 年 1 月 13 日 (木) 4 時 51 分 51 秒 (日本時間)
45	11e6	4480	Ignacio Santos	January 31, 2022 17:54:45 UTC 2022 年 2 月 1 日 (火) 2 時 54 分 45 秒 (日本時間)

2×10¹⁹⁸+2249

c169

name 名前	Ignacio Santos
date 日付	January 12, 2022 20:35:47 UTC 2022 年 1 月 13 日 (木) 5 時 35 分 47 秒 (日本時間)
composite number 合成数	3011930311646004478938692780511475804630352885941592715529580259167988062999680730443465685427008108401061351341086936787522686287744890272163981657543354824105687439867<169>
prime factors 素因数	145590737930615497497537804469501575323<39>
composite cofactor 合成数の残り	20687650563880010150496584441061972087961917401303267732475567787978051073742775619113038544425068483120208709695896088582334378529<131>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3651330317 Step 1 took 4891ms Step 2 took 2578ms ********** Factor found in step 2: 145590737930615497497537804469501575323 Found prime factor of 39 digits: 145590737930615497497537804469501575323 Composite cofactor 20687650563880010150496584441061972087961917401303267732475567787978051073742775619113038544425068483120208709695896088582334378529 has 131 digits
software ソフトウェア	GMP-ECM

c131

name 名前	Eric Jeancolas
date 日付	January 15, 2022 04:09:22 UTC 2022 年 1 月 15 日 (土) 13 時 9 分 22 秒 (日本時間)
composite number 合成数	20687650563880010150496584441061972087961917401303267732475567787978051073742775619113038544425068483120208709695896088582334378529<131>
prime factors 素因数	2460814982948028330230883750328856889849042842162212922533819303<64> 8406828919375499058760332773441451457233153938503606509204636599543<67>
factorization results 素因数分解の結果	20687650563880010150496584441061972087961917401303267732475567787978051073742775619113038544425068483120208709695896088582334378529=24608149829480283302308837503288568898490428421622129225338193038406828919375499058760332773441451457233153938503606509204636599543 cado polynomial n: 20687650563880010150496584441061972087961917401303267732475567787978051073742775619113038544425068483120208709695896088582334378529 skew: 140117.533 c0: 129374290886614957103245818797 c1: -60314306656764623923899807 c2: 5636473180115387423767 c3: 3330718621462443 c4: -77365481580 c5: 283500 Y0: -12956564271401079384172278 Y1: 35100807818851343 # MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 4.169e-07 # f(x) = 283500x^5-77365481580x^4+3330718621462443x^3+5636473180115387423767x^2-60314306656764623923899807x+129374290886614957103245818797 # g(x) = 35100807818851343*x-12956564271401079384172278 cado parameters (extracts) tasks.lim0 = 13124945 tasks.lim1 = 44217255 tasks.lpb0 = 28 tasks.lpb1 = 28 tasks.sieve.mfb0 = 56 tasks.sieve.mfb1 = 56 tasks.I = 14 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 2460814982948028330230883750328856889849042842162212922533819303 8406828919375499058760332773441451457233153938503606509204636599543 Info:Square Root: Total cpu/real time for sqrt: 732.03/213.357 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 352.09/323.716 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 285.0s Info:Filtering - Singleton removal: Total cpu/real time for purge: 206.41/230.374 Info:Linear Algebra: Total cpu/real time for bwc: 49601/12750.3 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 31755.24, WCT time 8128.82, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (54784 iterations) Info:Linear Algebra: Lingen CPU time 344.11, WCT time 87.4 Info:Linear Algebra: Mksol: CPU time 17181.1, WCT time 4410.62, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (27392 iterations) Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 24040624 Info:Lattice Sieving: Average J: 7821.9 for 66058 special-q, max bucket fill -bkmult 1.0,1s:1.071510 Info:Lattice Sieving: Total time: 92465.5s Info:Generate Factor Base: Total cpu/real time for makefb: 40.7/10.7676 Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 5214.18 Info:Polynomial Selection (root optimized): Rootsieve time: 5211.7 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 104.51/121.984 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 121.7s Info:Filtering - Merging: Merged matrix has 1744662 rows and total weight 297583402 (170.6 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 436.22/123.587 Info:Filtering - Merging: Total cpu/real time for replay: 69.66/58.7511 Info:Quadratic Characters: Total cpu/real time for characters: 67.91/28.4741 Info:Generate Free Relations: Total cpu/real time for freerel: 251.77/64.2446 Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 38210.8 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38212/38.790/46.534/50.380/0.837 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30285/37.760/41.793/47.450/1.009 Info:Polynomial Selection (size optimized): Total time: 4818.44 Info:Square Root: Total cpu/real time for sqrt: 732.03/213.357 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 235611/63433.5 Info:root: Cleaning up computation data in /tmp/cado.cvrbmqoa 2460814982948028330230883750328856889849042842162212922533819303 8406828919375499058760332773441451457233153938503606509204636599543
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic\|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	January 13, 2022 19:02:30 UTC 2022 年 1 月 14 日 (金) 4 時 2 分 30 秒 (日本時間)

2×10²⁰⁰+2249

c163

name 名前	Ray Chandler
date 日付	February 8, 2022 22:07:06 UTC 2022 年 2 月 9 日 (水) 7 時 7 分 6 秒 (日本時間)
composite number 合成数	1404139253257914347510709036796988569061051216235946873460228452357360091816642587728101785269996951929984351008701622505715420982238360962855311403940025693844927<163>
prime factors 素因数	118283825352545271035983939001431277485616630479320902256959162663322732313<75> 11870932049017466173757047898091703740238790313647024796324473977154710754662822372259479<89>
factorization results 素因数分解の結果	02/08/22 08:07:49, nfs: commencing nfs on c200: 22222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222272 02/08/22 08:07:49, nfs: input divides 10^201 + 2240 02/08/22 08:07:49, nfs: using supplied cofactor: 1404139253257914347510709036796988569061051216235946873460228452357360091816642587728101785269996951929984351008701622505715420982238360962855311403940025693844927 02/08/22 08:07:49, nfs: commencing snfs on c163: 1404139253257914347510709036796988569061051216235946873460228452357360091816642587728101785269996951929984351008701622505715420982238360962855311403940025693844927 02/08/22 08:07:51, test: fb generation took 1.9211 seconds 02/08/22 08:07:51, test: commencing test sieving of polynomial 0 on the rational side over range 17000000-17001000 skew: 3.9846 c5: 1 c0: 224 Y1: -1 Y0: 10000000000000000000000000000000000000000 rlim: 17000000 alim: 17000000 mfbr: 56 mfba: 56 lpbr: 28 lpba: 28 rlambda: 2.60 alambda: 2.60 02/08/22 08:08:56, nfs: parsing special-q from .dat file 02/08/22 08:08:56, test: new best estimated total sieving time = 4h 24m 29s (with 40 threads) 02/08/22 08:08:58, test: fb generation took 2.0364 seconds 02/08/22 08:08:58, test: commencing test sieving of polynomial 1 on the rational side over range 18000000-18001000 skew: 7.6150 c5: 1 c0: 7168 Y1: -1 Y0: 20000000000000000000000000000000000000000 rlim: 18000000 alim: 18000000 mfbr: 56 mfba: 56 lpbr: 28 lpba: 28 rlambda: 2.60 alambda: 2.60 02/08/22 08:10:25, nfs: parsing special-q from .dat file 02/08/22 08:10:25, test: estimated total sieving time = 5h 25m 18s (with 40 threads) 02/08/22 08:10:28, test: fb generation took 2.8668 seconds 02/08/22 08:10:28, test: commencing test sieving of polynomial 2 on the algebraic side over range 16000000-16001000 skew: 1.4870 c6: 25 c0: 56 Y1: -1 Y0: 1000000000000000000000000000000000 rlim: 16000000 alim: 16000000 mfbr: 56 mfba: 56 lpbr: 28 lpba: 28 rlambda: 2.60 alambda: 2.60 02/08/22 08:11:02, nfs: parsing special-q from .dat file 02/08/22 08:11:02, test: estimated total sieving time = 6h 7m 45s (with 40 threads) 02/08/22 08:11:02, nfs: commencing lattice sieving with 40 threads 02/08/22 08:14:59, nfs: commencing lattice sieving with 40 threads 02/08/22 08:18:51, nfs: commencing lattice sieving with 40 threads 02/08/22 08:22:44, nfs: commencing lattice sieving with 40 threads 02/08/22 08:26:38, nfs: commencing lattice sieving with 40 threads 02/08/22 08:30:34, nfs: commencing lattice sieving with 40 threads 02/08/22 08:34:26, nfs: commencing lattice sieving with 40 threads 02/08/22 08:38:18, nfs: commencing lattice sieving with 40 threads 02/08/22 08:42:17, nfs: commencing lattice sieving with 40 threads 02/08/22 08:46:10, nfs: commencing lattice sieving with 40 threads 02/08/22 08:50:13, nfs: commencing lattice sieving with 40 threads 02/08/22 08:54:08, nfs: commencing lattice sieving with 40 threads 02/08/22 08:58:02, nfs: commencing lattice sieving with 40 threads 02/08/22 09:01:57, nfs: commencing lattice sieving with 40 threads 02/08/22 09:05:58, nfs: commencing lattice sieving with 40 threads 02/08/22 09:09:55, nfs: commencing lattice sieving with 40 threads 02/08/22 09:13:46, nfs: commencing lattice sieving with 40 threads 02/08/22 09:17:40, nfs: commencing lattice sieving with 40 threads 02/08/22 09:21:36, nfs: commencing lattice sieving with 40 threads 02/08/22 09:25:27, nfs: commencing lattice sieving with 40 threads 02/08/22 09:29:21, nfs: commencing lattice sieving with 40 threads 02/08/22 09:33:24, nfs: commencing lattice sieving with 40 threads 02/08/22 09:37:21, nfs: commencing lattice sieving with 40 threads 02/08/22 09:41:19, nfs: commencing lattice sieving with 40 threads 02/08/22 09:45:14, nfs: commencing lattice sieving with 40 threads 02/08/22 09:49:10, nfs: commencing lattice sieving with 40 threads 02/08/22 09:53:08, nfs: commencing lattice sieving with 40 threads 02/08/22 09:57:01, nfs: commencing lattice sieving with 40 threads 02/08/22 10:00:59, nfs: commencing lattice sieving with 40 threads 02/08/22 10:04:57, nfs: commencing lattice sieving with 40 threads 02/08/22 10:08:56, nfs: commencing lattice sieving with 40 threads 02/08/22 10:12:55, nfs: commencing lattice sieving with 40 threads 02/08/22 10:16:56, nfs: commencing lattice sieving with 40 threads 02/08/22 10:20:54, nfs: commencing lattice sieving with 40 threads 02/08/22 10:24:54, nfs: commencing lattice sieving with 40 threads 02/08/22 10:28:58, nfs: commencing lattice sieving with 40 threads 02/08/22 10:33:00, nfs: commencing lattice sieving with 40 threads 02/08/22 10:37:03, nfs: commencing lattice sieving with 40 threads 02/08/22 10:41:04, nfs: commencing lattice sieving with 40 threads 02/08/22 10:45:08, nfs: commencing lattice sieving with 40 threads 02/08/22 10:49:03, nfs: commencing lattice sieving with 40 threads 02/08/22 10:52:59, nfs: commencing lattice sieving with 40 threads 02/08/22 10:56:58, nfs: commencing lattice sieving with 40 threads 02/08/22 11:01:14, nfs: commencing lattice sieving with 40 threads 02/08/22 11:05:15, nfs: commencing lattice sieving with 40 threads 02/08/22 11:09:11, nfs: commencing lattice sieving with 40 threads 02/08/22 11:13:08, nfs: commencing lattice sieving with 40 threads 02/08/22 11:17:15, nfs: commencing lattice sieving with 40 threads 02/08/22 11:21:22, nfs: commencing lattice sieving with 40 threads 02/08/22 11:25:37, nfs: commencing lattice sieving with 40 threads 02/08/22 11:29:34, nfs: commencing lattice sieving with 40 threads 02/08/22 11:33:34, nfs: commencing lattice sieving with 40 threads 02/08/22 11:37:37, nfs: commencing lattice sieving with 40 threads 02/08/22 11:41:46, nfs: commencing lattice sieving with 40 threads 02/08/22 11:45:54, nfs: commencing lattice sieving with 40 threads 02/08/22 11:50:02, nfs: commencing lattice sieving with 40 threads 02/08/22 11:54:02, nfs: commencing lattice sieving with 40 threads 02/08/22 11:58:04, nfs: commencing lattice sieving with 40 threads 02/08/22 12:01:58, nfs: commencing lattice sieving with 40 threads 02/08/22 12:06:02, nfs: commencing lattice sieving with 40 threads 02/08/22 12:10:07, nfs: commencing lattice sieving with 40 threads 02/08/22 12:14:22, nfs: commencing lattice sieving with 40 threads 02/08/22 12:18:19, nfs: commencing lattice sieving with 40 threads 02/08/22 12:22:19, nfs: commencing lattice sieving with 40 threads 02/08/22 12:26:23, nfs: commencing lattice sieving with 40 threads 02/08/22 12:30:29, nfs: commencing lattice sieving with 40 threads 02/08/22 12:34:30, nfs: commencing lattice sieving with 40 threads 02/08/22 12:38:42, nfs: commencing lattice sieving with 40 threads 02/08/22 12:42:48, nfs: commencing lattice sieving with 40 threads 02/08/22 12:46:52, nfs: commencing lattice sieving with 40 threads 02/08/22 12:51:00, nfs: commencing lattice sieving with 40 threads 02/08/22 12:55:12, nfs: commencing lattice sieving with 40 threads 02/08/22 12:59:24, nfs: commencing lattice sieving with 40 threads 02/08/22 13:03:34, nfs: commencing lattice sieving with 40 threads 02/08/22 13:07:51, nfs: commencing lattice sieving with 40 threads 02/08/22 13:11:55, nfs: commencing lattice sieving with 40 threads 02/08/22 13:16:03, nfs: commencing lattice sieving with 40 threads 02/08/22 13:20:16, nfs: commencing lattice sieving with 40 threads 02/08/22 13:24:30, nfs: commencing msieve filtering 02/08/22 13:28:44, nfs: raising min_rels by 5.00 percent to 22326751 02/08/22 13:28:44, nfs: commencing lattice sieving with 40 threads 02/08/22 13:32:53, nfs: commencing lattice sieving with 40 threads 02/08/22 13:36:58, nfs: commencing lattice sieving with 40 threads 02/08/22 13:41:06, nfs: commencing lattice sieving with 40 threads 02/08/22 13:45:08, nfs: commencing lattice sieving with 40 threads 02/08/22 13:49:14, nfs: commencing msieve filtering 02/08/22 13:53:47, nfs: raising min_rels by 5.00 percent to 23717658 02/08/22 13:53:47, nfs: commencing lattice sieving with 40 threads 02/08/22 13:57:51, nfs: commencing lattice sieving with 40 threads 02/08/22 14:02:05, nfs: commencing lattice sieving with 40 threads 02/08/22 14:06:06, nfs: commencing lattice sieving with 40 threads 02/08/22 14:10:12, nfs: commencing lattice sieving with 40 threads 02/08/22 14:14:19, nfs: commencing msieve filtering 02/08/22 14:21:04, nfs: commencing msieve linear algebra 02/08/22 14:57:15, nfs: commencing msieve sqrt 02/08/22 16:03:50, prp89 = 11870932049017466173757047898091703740238790313647024796324473977154710754662822372259479 02/08/22 16:03:50, C38 = 15826223909531579777748013842467228736 02/08/22 16:03:50, prp75 = 118283825352545271035983939001431277485616630479320902256959162663322732313
software ソフトウェア	YAFU Version 2.07 Built with GCC 9 Using GMP-ECM 7.0.5-dev, Powered by GMP 6.2.1 Detected Intel(R) Xeon(R) Gold 5218R CPU @ 2.10GHz Detected L1 = 32768 bytes, L2 = 28835840 bytes, CL = 64 bytes Using 1 random witness for Rabin-Miller PRP checks Cached 664579 primes; max prime is 9999991
execution environment 実行環境	Ubuntu 20.04.3 LTS

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	2100	ebina	December 29, 2021 05:01:38 UTC 2021 年 12 月 29 日 (水) 14 時 1 分 38 秒 (日本時間)
45	11e6	4480	Ignacio Santos	January 30, 2022 11:02:06 UTC 2022 年 1 月 30 日 (日) 20 時 2 分 6 秒 (日本時間)

2×10²⁰²+2249

c198

name 名前	ebina
date 日付	December 28, 2021 22:54:01 UTC 2021 年 12 月 29 日 (水) 7 時 54 分 1 秒 (日本時間)
composite number 合成数	151625424551188743328481319747695293546821931101407083939835031538088306647258612324114507520621057738961669092673459485686559922367782629791363415817564289180009704027171276079573022804463852498787<198>
prime factors 素因数	53286984900675968066821463070634261693049<41>
composite cofactor 合成数の残り	2845449500169886893536987921211659087427074242305171724581151456838265742765450464373195075532671743537525660737639405930112502475102922727736916908144978363<157>
factorization results 素因数分解の結果	Z:\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:3533326830 3e6 GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM] Input number is 151625424551188743328481319747695293546821931101407083939835031538088306647258612324114507520621057738961669092673459485686559922367782629791363415817564289180009704027171276079573022804463852498787 (198 digits) Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3533326830 Step 1 took 6875ms Step 2 took 172ms ********** Factor found in step 2: 53286984900675968066821463070634261693049 Found probable prime factor of 41 digits: 53286984900675968066821463070634261693049 Composite cofactor 2845449500169886893536987921211659087427074242305171724581151456838265742765450464373195075532671743537525660737639405930112502475102922727736916908144978363 has 157 digits

c157

name 名前	Ray Chandler
date 日付	February 9, 2022 14:29:38 UTC 2022 年 2 月 9 日 (水) 23 時 29 分 38 秒 (日本時間)
composite number 合成数	2845449500169886893536987921211659087427074242305171724581151456838265742765450464373195075532671743537525660737639405930112502475102922727736916908144978363<157>
prime factors 素因数	39250022655052612575248708746558238846434623957248355066735248066377<68> 72495486822441242213376002903962552974634511157059827997703536055985300263587677053883619<89>
factorization results 素因数分解の結果	02/08/22 16:09:15, nfs: commencing nfs on c202: 2222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222272 02/08/22 16:09:15, nfs: input divides 10^203 + 2240 02/08/22 16:09:15, nfs: using supplied cofactor: 2845449500169886893536987921211659087427074242305171724581151456838265742765450464373195075532671743537525660737639405930112502475102922727736916908144978363 02/08/22 16:09:15, nfs: commencing snfs on c157: 2845449500169886893536987921211659087427074242305171724581151456838265742765450464373195075532671743537525660737639405930112502475102922727736916908144978363 02/08/22 16:09:18, test: fb generation took 2.0891 seconds 02/08/22 16:09:18, test: commencing test sieving of polynomial 0 on the rational side over range 18000000-18001000 skew: 1.5275 c5: 25 c0: 56 Y1: -1 Y0: 10000000000000000000000000000000000000000 rlim: 18000000 alim: 18000000 mfbr: 56 mfba: 56 lpbr: 28 lpba: 28 rlambda: 2.60 alambda: 2.60 02/08/22 16:10:45, nfs: parsing special-q from .dat file 02/08/22 16:10:45, test: new best estimated total sieving time = 5h 47m 12s (with 40 threads) 02/08/22 16:10:48, test: fb generation took 3.1867 seconds 02/08/22 16:10:48, test: commencing test sieving of polynomial 1 on the algebraic side over range 18000000-18001000 skew: 3.2122 c6: 1 c0: 350 Y1: -1 Y0: 5000000000000000000000000000000000 rlim: 18000000 alim: 18000000 mfbr: 56 mfba: 56 lpbr: 28 lpba: 28 rlambda: 2.60 alambda: 2.60 02/08/22 16:12:35, nfs: parsing special-q from .dat file 02/08/22 16:12:35, test: estimated total sieving time = 6h 34m 9s (with 40 threads) 02/08/22 16:12:37, test: fb generation took 2.2010 seconds 02/08/22 16:12:37, test: commencing test sieving of polynomial 2 on the rational side over range 19000000-19001000 skew: 3.0316 c5: 25 c0: 1792 Y1: -1 Y0: 20000000000000000000000000000000000000000 rlim: 19000000 alim: 19000000 mfbr: 56 mfba: 56 lpbr: 28 lpba: 28 rlambda: 2.60 alambda: 2.60 02/08/22 16:14:01, nfs: parsing special-q from .dat file 02/08/22 16:14:01, test: estimated total sieving time = 6h 50m 23s (with 40 threads) 02/08/22 16:14:02, nfs: commencing lattice sieving with 40 threads 02/08/22 16:17:53, nfs: commencing lattice sieving with 40 threads 02/08/22 16:21:53, nfs: commencing lattice sieving with 40 threads 02/08/22 16:25:46, nfs: commencing lattice sieving with 40 threads 02/08/22 16:29:49, nfs: commencing lattice sieving with 40 threads 02/08/22 16:33:47, nfs: commencing lattice sieving with 40 threads 02/08/22 16:37:41, nfs: commencing lattice sieving with 40 threads 02/08/22 16:41:38, nfs: commencing lattice sieving with 40 threads 02/08/22 16:45:40, nfs: commencing lattice sieving with 40 threads 02/08/22 16:49:36, nfs: commencing lattice sieving with 40 threads 02/08/22 16:53:32, nfs: commencing lattice sieving with 40 threads 02/08/22 16:57:26, nfs: commencing lattice sieving with 40 threads 02/08/22 17:01:22, nfs: commencing lattice sieving with 40 threads 02/08/22 17:05:16, nfs: commencing lattice sieving with 40 threads 02/08/22 17:09:09, nfs: commencing lattice sieving with 40 threads 02/08/22 17:13:13, nfs: commencing lattice sieving with 40 threads 02/08/22 17:17:11, nfs: commencing lattice sieving with 40 threads 02/08/22 17:21:07, nfs: commencing lattice sieving with 40 threads 02/08/22 17:25:00, nfs: commencing lattice sieving with 40 threads 02/08/22 17:28:56, nfs: commencing lattice sieving with 40 threads 02/08/22 17:32:54, nfs: commencing lattice sieving with 40 threads 02/08/22 17:36:52, nfs: commencing lattice sieving with 40 threads 02/08/22 17:40:51, nfs: commencing lattice sieving with 40 threads 02/08/22 17:44:49, nfs: commencing lattice sieving with 40 threads 02/08/22 17:48:44, nfs: commencing lattice sieving with 40 threads 02/08/22 17:52:44, nfs: commencing lattice sieving with 40 threads 02/08/22 17:56:42, nfs: commencing lattice sieving with 40 threads 02/08/22 18:00:41, nfs: commencing lattice sieving with 40 threads 02/08/22 18:04:40, nfs: commencing lattice sieving with 40 threads 02/08/22 18:08:45, nfs: commencing lattice sieving with 40 threads 02/08/22 18:12:47, nfs: commencing lattice sieving with 40 threads 02/08/22 18:16:51, nfs: commencing lattice sieving with 40 threads 02/08/22 18:20:53, nfs: commencing lattice sieving with 40 threads 02/08/22 18:24:56, nfs: commencing lattice sieving with 40 threads 02/08/22 18:28:51, nfs: commencing lattice sieving with 40 threads 02/08/22 18:32:51, nfs: commencing lattice sieving with 40 threads 02/08/22 18:36:54, nfs: commencing lattice sieving with 40 threads 02/08/22 18:41:10, nfs: commencing lattice sieving with 40 threads 02/08/22 18:45:10, nfs: commencing lattice sieving with 40 threads 02/08/22 18:49:09, nfs: commencing lattice sieving with 40 threads 02/08/22 18:53:09, nfs: commencing lattice sieving with 40 threads 02/08/22 18:57:14, nfs: commencing lattice sieving with 40 threads 02/08/22 19:01:21, nfs: commencing lattice sieving with 40 threads 02/08/22 19:05:37, nfs: commencing lattice sieving with 40 threads 02/08/22 19:09:35, nfs: commencing lattice sieving with 40 threads 02/08/22 19:13:35, nfs: commencing lattice sieving with 40 threads 02/08/22 19:17:39, nfs: commencing lattice sieving with 40 threads 02/08/22 19:21:48, nfs: commencing lattice sieving with 40 threads 02/08/22 19:25:53, nfs: commencing lattice sieving with 40 threads 02/08/22 19:30:01, nfs: commencing lattice sieving with 40 threads 02/08/22 19:34:00, nfs: commencing lattice sieving with 40 threads 02/08/22 19:38:03, nfs: commencing lattice sieving with 40 threads 02/08/22 19:41:58, nfs: commencing lattice sieving with 40 threads 02/08/22 19:46:03, nfs: commencing lattice sieving with 40 threads 02/08/22 19:50:08, nfs: commencing lattice sieving with 40 threads 02/08/22 19:54:22, nfs: commencing lattice sieving with 40 threads 02/08/22 19:58:21, nfs: commencing lattice sieving with 40 threads 02/08/22 20:02:21, nfs: commencing lattice sieving with 40 threads 02/08/22 20:06:27, nfs: commencing lattice sieving with 40 threads 02/08/22 20:10:35, nfs: commencing lattice sieving with 40 threads 02/08/22 20:14:38, nfs: commencing lattice sieving with 40 threads 02/08/22 20:18:52, nfs: commencing lattice sieving with 40 threads 02/08/22 20:22:58, nfs: commencing lattice sieving with 40 threads 02/08/22 20:27:03, nfs: commencing lattice sieving with 40 threads 02/08/22 20:31:16, nfs: commencing lattice sieving with 40 threads 02/08/22 20:35:23, nfs: commencing lattice sieving with 40 threads 02/08/22 20:39:34, nfs: commencing lattice sieving with 40 threads 02/08/22 20:43:52, nfs: commencing lattice sieving with 40 threads 02/08/22 20:47:54, nfs: commencing lattice sieving with 40 threads 02/08/22 20:52:00, nfs: commencing lattice sieving with 40 threads 02/08/22 20:56:15, nfs: commencing lattice sieving with 40 threads 02/08/22 21:00:23, nfs: commencing lattice sieving with 40 threads 02/08/22 21:04:36, nfs: commencing lattice sieving with 40 threads 02/08/22 21:08:46, nfs: commencing lattice sieving with 40 threads 02/08/22 21:12:50, nfs: commencing lattice sieving with 40 threads 02/08/22 21:16:59, nfs: commencing lattice sieving with 40 threads 02/08/22 21:20:59, nfs: commencing lattice sieving with 40 threads 02/08/22 21:25:03, nfs: commencing lattice sieving with 40 threads 02/08/22 21:29:15, nfs: commencing lattice sieving with 40 threads 02/08/22 21:33:26, nfs: commencing lattice sieving with 40 threads 02/08/22 21:37:26, nfs: commencing lattice sieving with 40 threads 02/08/22 21:41:32, nfs: commencing lattice sieving with 40 threads 02/08/22 21:45:35, nfs: commencing lattice sieving with 40 threads 02/08/22 21:49:42, nfs: commencing lattice sieving with 40 threads 02/08/22 21:54:03, nfs: commencing lattice sieving with 40 threads 02/08/22 21:58:12, nfs: commencing lattice sieving with 40 threads 02/08/22 22:02:25, nfs: commencing lattice sieving with 40 threads 02/08/22 22:06:35, nfs: commencing lattice sieving with 40 threads 02/08/22 22:10:39, nfs: commencing lattice sieving with 40 threads 02/08/22 22:14:46, nfs: commencing lattice sieving with 40 threads 02/08/22 22:19:04, nfs: commencing lattice sieving with 40 threads 02/08/22 22:23:19, nfs: commencing lattice sieving with 40 threads 02/08/22 22:27:30, nfs: commencing lattice sieving with 40 threads 02/08/22 22:32:03, nfs: commencing lattice sieving with 40 threads 02/08/22 22:36:13, nfs: commencing lattice sieving with 40 threads 02/08/22 22:40:20, nfs: commencing lattice sieving with 40 threads 02/08/22 22:44:27, nfs: commencing lattice sieving with 40 threads 02/08/22 22:48:38, nfs: commencing lattice sieving with 40 threads 02/08/22 22:52:57, nfs: commencing lattice sieving with 40 threads 02/08/22 22:57:08, nfs: commencing lattice sieving with 40 threads 02/08/22 23:01:30, nfs: commencing lattice sieving with 40 threads 02/08/22 23:05:42, nfs: commencing lattice sieving with 40 threads 02/08/22 23:09:54, nfs: commencing lattice sieving with 40 threads 02/08/22 23:14:12, nfs: commencing lattice sieving with 40 threads 02/08/22 23:18:19, nfs: commencing msieve filtering 02/08/22 23:22:31, nfs: raising min_rels by 5.00 percent to 22143933 02/08/22 23:22:31, nfs: commencing lattice sieving with 40 threads 02/08/22 23:26:44, nfs: commencing lattice sieving with 40 threads 02/08/22 23:31:06, nfs: commencing lattice sieving with 40 threads 02/08/22 23:35:30, nfs: commencing lattice sieving with 40 threads 02/08/22 23:39:42, nfs: commencing lattice sieving with 40 threads 02/08/22 23:43:45, nfs: commencing lattice sieving with 40 threads 02/08/22 23:48:02, nfs: commencing msieve filtering 02/08/22 23:52:31, nfs: raising min_rels by 5.00 percent to 23377948 02/08/22 23:52:31, nfs: commencing lattice sieving with 40 threads 02/08/22 23:56:51, nfs: commencing lattice sieving with 40 threads 02/09/22 00:01:00, nfs: commencing lattice sieving with 40 threads 02/09/22 00:05:15, nfs: commencing lattice sieving with 40 threads 02/09/22 00:09:27, nfs: commencing lattice sieving with 40 threads 02/09/22 00:13:37, nfs: commencing lattice sieving with 40 threads 02/09/22 00:17:56, nfs: commencing msieve filtering 02/09/22 00:22:39, nfs: raising min_rels by 5.00 percent to 24605035 02/09/22 00:22:39, nfs: commencing lattice sieving with 40 threads 02/09/22 00:26:51, nfs: commencing lattice sieving with 40 threads 02/09/22 00:31:04, nfs: commencing lattice sieving with 40 threads 02/09/22 00:35:13, nfs: commencing lattice sieving with 40 threads 02/09/22 00:39:31, nfs: commencing lattice sieving with 40 threads 02/09/22 00:43:52, nfs: commencing lattice sieving with 40 threads 02/09/22 00:48:03, nfs: commencing lattice sieving with 40 threads 02/09/22 00:52:16, nfs: commencing msieve filtering 02/09/22 00:59:26, nfs: commencing msieve linear algebra 02/09/22 01:43:59, nfs: commencing msieve sqrt 02/09/22 03:28:24, prp89 = 72495486822441242213376002903962552974634511157059827997703536055985300263587677053883619 02/09/22 03:28:24, C45 = 780974050704306987987335362763215739373326144 02/09/22 03:28:24, prp68 = 39250022655052612575248708746558238846434623957248355066735248066377
software ソフトウェア	YAFU Version 2.07 Built with GCC 9 Using GMP-ECM 7.0.5-dev, Powered by GMP 6.2.1 Detected Intel(R) Xeon(R) Gold 5218R CPU @ 2.10GHz Detected L1 = 32768 bytes, L2 = 28835840 bytes, CL = 64 bytes Using 1 random witness for Rabin-Miller PRP checks Cached 664579 primes; max prime is 9999991
execution environment 実行環境	Ubuntu 20.04.3 LTS

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	2357	7	ebina	December 28, 2021 22:52:15 UTC 2021 年 12 月 29 日 (水) 7 時 52 分 15 秒 (日本時間)
40	3e6	2357	2350	Ignacio Santos	January 16, 2022 18:45:41 UTC 2022 年 1 月 17 日 (月) 3 時 45 分 41 秒 (日本時間)
45	11e6	4480		Ignacio Santos	January 29, 2022 22:03:05 UTC 2022 年 1 月 30 日 (日) 7 時 3 分 5 秒 (日本時間)

2×10²⁰⁵+2249

c193

name 名前	Bob Backstrom
date 日付	February 16, 2022 04:01:49 UTC 2022 年 2 月 16 日 (水) 13 時 1 分 49 秒 (日本時間)
composite number 合成数	1123394553442485993264555031197149341423682069859623776953359007538337231040050862615378371115519255043271564038823130580147001775309842129684390006409381169964960644556948816985028457527475327<193>
prime factors 素因数	3103442788706093104639323293598802430852751659639572204890757147409<67> 361983329459364294985970103814239505808086400329326095261249854961484712187425763785005990787636686284051365217717194370485903<126>
factorization results 素因数分解の結果	Number: n N=1123394553442485993264555031197149341423682069859623776953359007538337231040050862615378371115519255043271564038823130580147001775309842129684390006409381169964960644556948816985028457527475327 ( 193 digits) SNFS difficulty: 205 digits. Divisors found: Wed Feb 16 14:54:18 2022 p67 factor: 3103442788706093104639323293598802430852751659639572204890757147409 Wed Feb 16 14:54:18 2022 p126 factor: 361983329459364294985970103814239505808086400329326095261249854961484712187425763785005990787636686284051365217717194370485903 Wed Feb 16 14:54:18 2022 elapsed time 01:28:53 (Msieve 1.54 - dependency 5) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.316). Factorization parameters were as follows: # # N = 10^205+224 = 2(203)72 # n: 1123394553442485993264555031197149341423682069859623776953359007538337231040050862615378371115519255043271564038823130580147001775309842129684390006409381169964960644556948816985028457527475327 m: 100000000000000000000000000000000000000000 deg: 5 c5: 1 c0: 224 skew: 2.95 # Murphy_E = 1.15e-11 type: snfs lss: 1 rlim: 18300000 alim: 18300000 lpbr: 28 lpba: 28 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 18300000/18300000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 56/56 Sieved special-q in [100000, 36350000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 5437928 hash collisions in 39898315 relations (35769675 unique) Msieve: matrix is 1901331 x 1901556 (650.4 MB) Sieving start time : 2022/02/16 00:33:49 Sieving end time : 2022/02/16 13:24:43 Total sieving time: 12hrs 50min 54secs. Total relation processing time: 1hrs 9min 11sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 8min 22sec. Prototype def-par.txt line would be: snfs,205,5,0,0,0,0,0,0,0,0,18300000,18300000,28,28,56,56,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.118211] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197528K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529708K reserved, 0K cma-reserved) [ 0.153519] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.18 BogoMIPS (lpj=12798376) [ 0.152049] smpboot: Total of 16 processors activated (102387.00 BogoMIPS)

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	2350	Ignacio Santos	February 11, 2022 13:48:39 UTC 2022 年 2 月 11 日 (金) 22 時 48 分 39 秒 (日本時間)
45	11e6	4480	Ignacio Santos	February 11, 2022 19:57:47 UTC 2022 年 2 月 12 日 (土) 4 時 57 分 47 秒 (日本時間)

2×10²⁰⁶+2249

c196

name 名前	Bob Backstrom
date 日付	May 21, 2022 09:26:41 UTC 2022 年 5 月 21 日 (土) 18 時 26 分 41 秒 (日本時間)
composite number 合成数	1655591398606035591049866965496198990752860861804343917612851322832388074616325024308969037345287493676826260766345963672699896551815133801450556284458144963918748327425544827063695857143499171741<196>
prime factors 素因数	359440254636141145327018758409963910788536123293<48> 4606026668554358718845398414934698480195782205821748001664306075827254142451518065223618346393836309290845135089579134088859859621209301396144654337<148>
factorization results 素因数分解の結果	GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 1655591398606035591049866965496198990752860861804343917612851322832388074616325024308969037345287493676826260766345963672699896551815133801450556284458144963918748327425544827063695857143499171741 (196 digits) Using B1=25310000, B2=96190324246, polynomial Dickson(12), sigma=1:1666058330 Step 1 took 73142ms Step 2 took 22126ms ********** Factor found in step 2: 359440254636141145327018758409963910788536123293 Found prime factor of 48 digits: 359440254636141145327018758409963910788536123293 Prime cofactor 4606026668554358718845398414934698480195782205821748001664306075827254142451518065223618346393836309290845135089579134088859859621209301396144654337 has 148 digits

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000	Dmitry Domanov	February 11, 2022 19:12:50 UTC 2022 年 2 月 12 日 (土) 4 時 12 分 50 秒 (日本時間)
45	11e6	1200 / 4213	Dmitry Domanov	February 17, 2022 07:56:23 UTC 2022 年 2 月 17 日 (木) 16 時 56 分 23 秒 (日本時間)

2×10²⁰⁷+2249

c161

name 名前	Bob Backstrom
date 日付	February 28, 2024 17:18:13 UTC 2024 年 2 月 29 日 (木) 2 時 18 分 13 秒 (日本時間)
composite number 合成数	29167814176809485948429589731030738367852974887272422939507889507535576497642565781517086413639631027559128293861928056651225439444397398573833394716613160951211<161>
prime factors 素因数	16129757657888470864561700987170391314339360079932321439<56> 1808323150009918559803278195102087840792328689229893338544311945182808538602366772694782639739834297471349<106>
factorization results 素因数分解の結果	Number: n N=29167814176809485948429589731030738367852974887272422939507889507535576497642565781517086413639631027559128293861928056651225439444397398573833394716613160951211 ( 161 digits) SNFS difficulty: 206 digits. Divisors found: Wed Feb 28 19:07:45 2024 prp56 factor: 16129757657888470864561700987170391314339360079932321439 Wed Feb 28 19:07:45 2024 prp106 factor: 1808323150009918559803278195102087840792328689229893338544311945182808538602366772694782639739834297471349 Wed Feb 28 19:07:45 2024 elapsed time 03:12:52 (Msieve 1.44 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.085). Factorization parameters were as follows: # # N = 2x10^207+224 = 2(205)72 # n: 29167814176809485948429589731030738367852974887272422939507889507535576497642565781517086413639631027559128293861928056651225439444397398573833394716613160951211 m: 100000000000000000000000000000000000000000 deg: 5 c5: 25 c0: 56 skew: 1.18 # Murphy_E = 8.132e-12 type: snfs lss: 1 rlim: 19300000 alim: 19300000 lpbr: 27 lpba: 27 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 19300000/19300000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 56/56 Sieved special-q in [100000, 56850000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3924575 hash collisions in 19343686 relations (15880095 unique) Msieve: matrix is 2466108 x 2466333 (695.9 MB) Sieving start time: 2024/02/27 15:12:46 Sieving end time : 2024/02/28 15:53:27 Total sieving time: 24hrs 40min 41secs. Total relation processing time: 3hrs 4min 38sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 3min 8sec. Prototype def-par.txt line would be: snfs,206,5,0,0,0,0,0,0,0,0,19300000,19300000,27,27,56,56,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	February 11, 2022 19:12:40 UTC 2022 年 2 月 12 日 (土) 4 時 12 分 40 秒 (日本時間)
45	11e6	5680	1200	Dmitry Domanov	February 17, 2022 07:57:07 UTC 2022 年 2 月 17 日 (木) 16 時 57 分 7 秒 (日本時間)
45	11e6	5680	4480	Ignacio Santos	January 24, 2024 13:48:34 UTC 2024 年 1 月 24 日 (水) 22 時 48 分 34 秒 (日本時間)

2×10²⁰⁹+2249

c205

name 名前	Bob Backstrom
date 日付	September 19, 2024 20:27:17 UTC 2024 年 9 月 20 日 (金) 5 時 27 分 17 秒 (日本時間)
composite number 合成数	1428898033836305441243712848651120256058527663465935070873342478280749885688157293095564700502972107910379515317786922725194330132601737540009144947416552354823959762231367169638774577046181984453589391861<205>
prime factors 素因数	689937291895390059321967761790456383969034908571997943430459<60> 1635747289595903299945263257658819099743529667966663861730039200109<67> 1266121575787059892423775675464254379942174909132473565343759064491790669453931<79>
factorization results 素因数分解の結果	YAFU: 09/18/24 01:50:18 v1.34.5 @ RYZEN-9, 09/18/24 01:50:18 v1.34.5 @ RYZEN-9, ************************** 09/18/24 01:50:18 v1.34.5 @ RYZEN-9, Starting factorization of 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000224 09/18/24 01:50:18 v1.34.5 @ RYZEN-9, using pretesting plan: normal 09/18/24 01:50:18 v1.34.5 @ RYZEN-9, no tune info: using qs/gnfs crossover of 125 digits 09/18/24 01:50:18 v1.34.5 @ RYZEN-9, ************************** 09/18/24 01:50:18 v1.34.5 @ RYZEN-9, div: found prime factor = 2 09/18/24 01:50:18 v1.34.5 @ RYZEN-9, div: found prime factor = 2 09/18/24 01:50:18 v1.34.5 @ RYZEN-9, div: found prime factor = 2 09/18/24 01:50:18 v1.34.5 @ RYZEN-9, div: found prime factor = 2 09/18/24 01:50:18 v1.34.5 @ RYZEN-9, div: found prime factor = 2 09/18/24 01:50:18 v1.34.5 @ RYZEN-9, div: found prime factor = 3 09/18/24 01:50:18 v1.34.5 @ RYZEN-9, div: found prime factor = 3 09/18/24 01:50:18 v1.34.5 @ RYZEN-9, div: found prime factor = 3 09/18/24 01:50:18 v1.34.5 @ RYZEN-9, div: found prime factor = 3 09/18/24 01:50:18 v1.34.5 @ RYZEN-9, div: found prime factor = 3 09/18/24 01:50:18 v1.34.5 @ RYZEN-9, div: found prime factor = 3 09/18/24 01:50:18 v1.34.5 @ RYZEN-9, div: found prime factor = 3 09/18/24 01:50:18 v1.34.5 @ RYZEN-9, rho: x^2 + 3, starting 1000 iterations on C205 09/18/24 01:50:18 v1.34.5 @ RYZEN-9, rho: x^2 + 2, starting 1000 iterations on C205 09/18/24 01:50:18 v1.34.5 @ RYZEN-9, rho: x^2 + 1, starting 1000 iterations on C205 09/18/24 01:50:18 v1.34.5 @ RYZEN-9, pm1: starting B1 = 150K, B2 = gmp-ecm default on C205 09/18/24 01:50:18 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 0.00 09/18/24 01:50:18 v1.34.5 @ RYZEN-9, scheduled 30 curves at B1=2000 toward target pretesting depth of 63.08 09/18/24 01:50:18 v1.34.5 @ RYZEN-9, Finished 30 curves using Lenstra ECM method on C205 input, B1=2K, B2=gmp-ecm default 09/18/24 01:50:18 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 15.18 09/18/24 01:50:18 v1.34.5 @ RYZEN-9, scheduled 74 curves at B1=11000 toward target pretesting depth of 63.08 09/18/24 01:50:21 v1.34.5 @ RYZEN-9, Finished 74 curves using Lenstra ECM method on C205 input, B1=11K, B2=gmp-ecm default 09/18/24 01:50:21 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 20.24 09/18/24 01:50:21 v1.34.5 @ RYZEN-9, scheduled 214 curves at B1=50000 toward target pretesting depth of 63.08 09/18/24 01:50:51 v1.34.5 @ RYZEN-9, Finished 214 curves using Lenstra ECM method on C205 input, B1=50K, B2=gmp-ecm default 09/18/24 01:50:51 v1.34.5 @ RYZEN-9, pm1: starting B1 = 3750K, B2 = gmp-ecm default on C205 09/18/24 01:50:53 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 25.33 09/18/24 01:50:53 v1.34.5 @ RYZEN-9, scheduled 430 curves at B1=250000 toward target pretesting depth of 63.08 09/18/24 01:53:45 v1.34.5 @ RYZEN-9, nfs: commencing nfs on c210: 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000224 09/18/24 01:53:45 v1.34.5 @ RYZEN-9, nfs: input divides 10^209 + 224 09/18/24 01:53:45 v1.34.5 @ RYZEN-9, nfs: using supplied cofactor: 1428898033836305441243712848651120256058527663465935070873342478280749885688157293095564700502972107910379515317786922725194330132601737540009144947416552354823959762231367169638774577046181984453589391861 09/18/24 01:53:45 v1.34.5 @ RYZEN-9, nfs: commencing snfs on c205: 1428898033836305441243712848651120256058527663465935070873342478280749885688157293095564700502972107910379515317786922725194330132601737540009144947416552354823959762231367169638774577046181984453589391861 09/18/24 01:53:45 v1.34.5 @ RYZEN-9, gen: best 3 polynomials: n: 1428898033836305441243712848651120256058527663465935070873342478280749885688157293095564700502972107910379515317786922725194330132601737540009144947416552354823959762231367169638774577046181984453589391861 # 10^209+224, difficulty: 209.70, anorm: 1.67e+031, rnorm: 3.27e+047 # scaled difficulty: 212.41, suggest sieving rational side # size = 1.943e-014, alpha = 1.367, combined = 6.972e-012, rroots = 1 type: snfs size: 209 skew: 2.3389 c5: 1 c0: 70 Y1: -1 Y0: 500000000000000000000000000000000000000000 m: 500000000000000000000000000000000000000000 n: 1428898033836305441243712848651120256058527663465935070873342478280749885688157293095564700502972107910379515317786922725194330132601737540009144947416552354823959762231367169638774577046181984453589391861 # 10^209+224, difficulty: 209.70, anorm: 1.18e+037, rnorm: 3.72e+040 # scaled difficulty: 209.70, suggest sieving algebraic side # size = 2.679e-010, alpha = 0.588, combined = 6.720e-012, rroots = 0 type: snfs size: 209 skew: 1.8086 c6: 1 c0: 35 Y1: -1 Y0: 50000000000000000000000000000000000 m: 50000000000000000000000000000000000 n: 1428898033836305441243712848651120256058527663465935070873342478280749885688157293095564700502972107910379515317786922725194330132601737540009144947416552354823959762231367169638774577046181984453589391861 # 10^209+224, difficulty: 213.00, anorm: 1.87e+032, rnorm: 1.46e+047 # scaled difficulty: 215.48, suggest sieving rational side # size = 1.486e-014, alpha = 0.562, combined = 6.132e-012, rroots = 1 type: snfs size: 213 skew: 0.4678 c5: 625 c0: 14 Y1: -1 Y0: 100000000000000000000000000000000000000000 m: 100000000000000000000000000000000000000000 09/18/24 01:53:46 v1.34.5 @ RYZEN-9, test: fb generation took 1.5782 seconds 09/18/24 01:53:46 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 0 on the rational side over range 21400000-21402000 skew: 2.3389 c5: 1 c0: 70 Y1: -1 Y0: 500000000000000000000000000000000000000000 m: 500000000000000000000000000000000000000000 rlim: 21400000 alim: 21400000 mfbr: 56 mfba: 56 lpbr: 28 lpba: 28 rlambda: 2.60 alambda: 2.60 09/18/24 01:56:54 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file 09/18/24 01:56:56 v1.34.5 @ RYZEN-9, test: fb generation took 2.3126 seconds 09/18/24 01:56:56 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 1 on the algebraic side over range 21400000-21402000 skew: 1.8086 c6: 1 c0: 35 Y1: -1 Y0: 50000000000000000000000000000000000 m: 50000000000000000000000000000000000 rlim: 21400000 alim: 21400000 mfbr: 56 mfba: 56 lpbr: 28 lpba: 28 rlambda: 2.60 alambda: 2.60 09/18/24 01:59:20 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file 09/18/24 01:59:22 v1.34.5 @ RYZEN-9, test: fb generation took 1.9219 seconds 09/18/24 01:59:22 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 2 on the rational side over range 23800000-23802000 skew: 0.4678 c5: 625 c0: 14 Y1: -1 Y0: 100000000000000000000000000000000000000000 m: 100000000000000000000000000000000000000000 rlim: 23800000 alim: 23800000 mfbr: 58 mfba: 58 lpbr: 29 lpba: 29 rlambda: 2.60 alambda: 2.60 09/18/24 02:02:51 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file 09/18/24 02:02:51 v1.34.5 @ RYZEN-9, gen: selected polynomial: n: 1428898033836305441243712848651120256058527663465935070873342478280749885688157293095564700502972107910379515317786922725194330132601737540009144947416552354823959762231367169638774577046181984453589391861 # 10^209+224, difficulty: 209.70, anorm: 1.67e+031, rnorm: 3.27e+047 # scaled difficulty: 212.41, suggest sieving rational side # size = 1.943e-014, alpha = 1.367, combined = 6.972e-012, rroots = 1 type: snfs size: 209 skew: 2.3389 c5: 1 c0: 70 Y1: -1 Y0: 500000000000000000000000000000000000000000 m: 500000000000000000000000000000000000000000 09/19/24 03:21:24 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering 09/19/24 03:23:27 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 22191491 09/19/24 04:53:49 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering 09/19/24 04:56:03 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 23402284 09/19/24 06:25:18 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering 09/19/24 06:27:38 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 24599485 09/19/24 08:09:45 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering 09/19/24 08:12:10 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 25955828 09/19/24 09:53:56 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering 09/19/24 09:58:26 v1.34.5 @ RYZEN-9, nfs: commencing msieve linear algebra 09/19/24 13:44:16 v1.34.5 @ RYZEN-9, nfs: commencing msieve sqrt 09/19/24 13:46:53 v1.34.5 @ RYZEN-9, prp67 = 1635747289595903299945263257658819099743529667966663861730039200109 09/19/24 13:46:53 v1.34.5 @ RYZEN-9, C138 = 873544491208847967886410071946126358087292138701465370082605135688074009558534516832971026649183859010924032762339223279661185046402684329 09/19/24 13:46:54 v1.34.5 @ RYZEN-9, NFS elapsed time = 129189.0032 seconds. 09/19/24 13:46:54 v1.34.5 @ RYZEN-9, 09/19/24 13:46:54 v1.34.5 @ RYZEN-9, 09/18/24 02:02:51 v1.34.5 @ RYZEN-9, test: test sieving took 546.01 seconds CADO-NFS: STA:Thu Sep 19 03:24:14 PM AEST 2024 (873544491208847967886410071946126358087292138701465370082605135688074009558534516832971026649183859010924032762339223279661185046402684329 - C138) /home/bob/Downloads/Math/cado-nfs/cado-nfs.py -t 18 --no-colors 873544491208847967886410071946126358087292138701465370082605135688074009558534516832971026649183859010924032762339223279661185046402684329 2>&1 \| tee -a log-68 /home/bob/Downloads/Math/cado-nfs/cado-nfs.py:93: DeprecationWarning: 'locale.getdefaultlocale' is deprecated and slated for removal in Python 3.15. Use setlocale(), getencoding() and getlocale() instead. loc = locale.getdefaultlocale()[1] Info:root: Using default parameter file /home/bob/Downloads/Math/cado-nfs/parameters/factor/params.c140 Info:root: No database exists yet Info:root: Created temporary directory /tmp/cado.cfja_k6q Info:Database: Opened connection to database /tmp/cado.cfja_k6q/c140.db Info:root: Set tasks.threads=18 based on --server-threads 18 Info:root: tasks.threads = 18 [via tasks.threads] Info:root: tasks.polyselect.threads = 2 [via tasks.polyselect.threads] Info:root: tasks.sieve.las.threads = 2 [via tasks.sieve.las.threads] Info:root: tasks.linalg.bwc.threads = 18 [via tasks.threads] Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads] Info:root: slaves.scriptpath is /home/bob/Downloads/Math/cado-nfs/build/VM9 Info:root: Command line parameters: /home/bob/Downloads/Math/cado-nfs/cado-nfs.py -t 18 --no-colors 873544491208847967886410071946126358087292138701465370082605135688074009558534516832971026649183859010924032762339223279661185046402684329 Info:root: If this computation gets interrupted, it can be resumed with /home/bob/Downloads/Math/cado-nfs/cado-nfs.py /tmp/cado.cfja_k6q/c140.parameters_snapshot.0 Info:Server Launcher: Adding VM9 to whitelist to allow clients on localhost to connect Info:HTTP server: Using non-threaded HTTPS server Info:HTTP server: Using whitelist: localhost,VM9 Info:Lattice Sieving: param rels_wanted is 71000000 === Info:Polynomial Selection (root optimized): Best polynomial is: n: 873544491208847967886410071946126358087292138701465370082605135688074009558534516832971026649183859010924032762339223279661185046402684329 skew: 44732.339 c0: 125628374491611751148789765024 c1: 22806998160634343009717131 c2: 288210680371354611978 c3: -22211303549830593 c4: -42680711080 c5: 164640 Y0: -28570710990010381259876123 Y1: 6899940773880710152619 # MurphyE (Bf=1.074e+09,Bg=1.074e+09,area=8.053e+13) = 1.428e-06 # f(x) = 164640x^5-42680711080x^4-22211303549830593x^3+288210680371354611978x^2+22806998160634343009717131x+125628374491611751148789765024 # g(x) = 6899940773880710152619x-28570710990010381259876123 Info:Polynomial Selection (root optimized): Best overall polynomial was 1-th in list after size optimization === Info:Square Root: Starting Info:Square Root: Creating file of (a,b) values Info:Square Root: finished Info:Square Root: Factors: 689937291895390059321967761790456383969034908571997943430459 1266121575787059892423775675464254379942174909132473565343759064491790669453931 Info:Complete Factorization / Discrete logarithm: Square Root Info:Square Root: Total cpu/real time for sqrt: 2268.67/274.138 Info:HTTP server: Got notification to stop serving Workunits Info:Generate Free Relations: Total cpu/real time for freerel: 433.58/53.507 Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 1716.3 Info:Polynomial Selection (root optimized): Rootsieve time: 1715.82 Info:Generate Factor Base: Total cpu/real time for makefb: 3.77/0.673016 Info:Square Root: Total cpu/real time for sqrt: 2268.67/274.138 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 918.56/674.83 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 511.0s Info:Filtering - Merging: Total cpu/real time for merge: 170.13/28.1494 Info:Filtering - Merging: Total cpu/real time for replay: 34.14/30.2196 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 73700279 Info:Lattice Sieving: Average J: 3803.69 for 649600 special-q, max bucket fill -bkmult 1.0,1s:1.185200 Info:Lattice Sieving: Total time: 388705s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 294.09/260.586 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 260.1s Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 93020.2 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 64143/40.400/51.408/62.220/2.404 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 54519/40.120/44.629/55.920/1.367 Info:Polynomial Selection (size optimized): Total time: 18300.9 Info:Linear Algebra: Total cpu/real time for bwc: 36819.6/4982.33 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 21981.96, WCT time 2934.15, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (64000 iterations) Info:Linear Algebra: Lingen CPU time 72.26, WCT time 73.44 Info:Linear Algebra: Mksol: CPU time 11886.12, WCT time 1607.16, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (32000 iterations) Info:Filtering - Singleton removal: Total cpu/real time for purge: 355.44/324.242 Info:Quadratic Characters: Total cpu/real time for characters: 59.7/15.7076 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 431882/51809.1 [14:23:29] Info:root: Cleaning up computation data in /tmp/cado.cfja_k6q 689937291895390059321967761790456383969034908571997943430459 1266121575787059892423775675464254379942174909132473565343759064491790669453931 END:Fri Sep 20 05:47:45 AM AEST 2024 (873544491208847967886410071946126358087292138701465370082605135688074009558534516832971026649183859010924032762339223279661185046402684329 - C138)
software ソフトウェア	YAFU and CADO-NFS

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	3350	1000	Dmitry Domanov	February 11, 2022 19:12:29 UTC 2022 年 2 月 12 日 (土) 4 時 12 分 29 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	July 28, 2023 14:37:57 UTC 2023 年 7 月 28 日 (金) 23 時 37 分 57 秒 (日本時間)

2×10²¹⁰+2249

c156

composite cofactor 合成数の残り	515114415200926750153021310108233145568698466074475004951881671500232344963495423354466642301061347323596138020446789000021896953455654426619826410141242659<156>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000	Dmitry Domanov	February 11, 2022 19:12:19 UTC 2022 年 2 月 12 日 (土) 4 時 12 分 19 秒 (日本時間)
45	11e6	1200 / 4213	Dmitry Domanov	February 17, 2022 07:56:49 UTC 2022 年 2 月 17 日 (木) 16 時 56 分 49 秒 (日本時間)

2×10²¹²+2249

c146

name 名前	Ignacio Santos
date 日付	January 9, 2022 10:57:33 UTC 2022 年 1 月 9 日 (日) 19 時 57 分 33 秒 (日本時間)
composite number 合成数	19567418687340221887893006432131459858709883481386883590865021314980353403628198997798728952890034161948464400674797451038797562770509419481496717<146>
prime factors 素因数	74180841220295327764093497762984668567036789<44>
composite cofactor 合成数の残り	263779951338523258993200033107155542525529653953686587544956883726909923812364364468048800240890612153<102>
factorization results 素因数分解の結果	Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3269985970 Step 1 took 21672ms Step 2 took 10562ms ********** Factor found in step 2: 74180841220295327764093497762984668567036789 Found prime factor of 44 digits: 74180841220295327764093497762984668567036789 Composite cofactor 263779951338523258993200033107155542525529653953686587544956883726909923812364364468048800240890612153 has 102 digits
software ソフトウェア	GMP-ECM

c102

name 名前	Dmitry Domanov
date 日付	January 10, 2022 16:16:51 UTC 2022 年 1 月 11 日 (火) 1 時 16 分 51 秒 (日本時間)
composite number 合成数	263779951338523258993200033107155542525529653953686587544956883726909923812364364468048800240890612153<102>
prime factors 素因数	309312370852894887987833203908007759082151694882781<51> 852794702685763962719654109484366284476810889456013<51>
factorization results 素因数分解の結果	N=263779951338523258993200033107155542525529653953686587544956883726909923812364364468048800240890612153 ( 102 digits) Divisors found: p51 factor: 309312370852894887987833203908007759082151694882781 p51 factor: 852794702685763962719654109484366284476810889456013 Version: Msieve v. 1.54 (SVN 1043M) Total time: 3.38 hours. Scaled time: 0.00 units (timescale=0.000). Factorization parameters were as follows: n: 263779951338523258993200033107155542525529653953686587544956883726909923812364364468048800240890612153 skew: 942229.11 c0: 3141560830974474676819804223 c1: -481723620801236115598 c2: -16414954375568552 c3: 1205118892 c4: 10920 Y0: -2216943966743694615011925 Y1: 12933699440663 rlim: 2080000 alim: 2080000 lpbr: 26 lpba: 26 mfbr: 52 mfba: 52 rlambda: 2.5 alambda: 2.5 type: gnfs Factor base limits: 2080000/2080000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 52/52 Sieved algebraic special-q in [1040000, 1440001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 239870 x 240101 Total sieving time: 3.28 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.04 hours. Time per square root: 0.02 hours. Prototype def-par.txt line would be: gnfs,101,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2080000,2080000,26,26,52,52,2.5,2.5,100000 total time: 3.38 hours. --------- CPU info (if available) ----------
software ソフトウェア	GGNFS

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	December 30, 2021 21:52:49 UTC 2021 年 12 月 31 日 (金) 6 時 52 分 49 秒 (日本時間)

2×10²¹³+2249

c188

composite cofactor 合成数の残り	19741999892683306531686941377422286022572681909703846751694175661998851810225964336180244276205151294545331832026705714408937048305122714910113148406052884131247618292916874842246111375639<188>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000	Dmitry Domanov	February 11, 2022 19:11:33 UTC 2022 年 2 月 12 日 (土) 4 時 11 分 33 秒 (日本時間)
45	11e6	1200 / 4213	Dmitry Domanov	February 17, 2022 07:56:50 UTC 2022 年 2 月 17 日 (木) 16 時 56 分 50 秒 (日本時間)

2×10²¹⁴+2249

c204

composite cofactor 合成数の残り

119532216176213877472806800454229918530211306531060936168598179715293179671177185582589577395945825938702281446920134122888412289271544905388860497788154260450653751774135880925407462747699721745027621319<204>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	3350	1000	Dmitry Domanov	February 11, 2022 19:11:15 UTC 2022 年 2 月 12 日 (土) 4 時 11 分 15 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	July 28, 2023 14:44:27 UTC 2023 年 7 月 28 日 (金) 23 時 44 分 27 秒 (日本時間)

2×10²¹⁵+2249

c213

name 名前	Dmitry Domanov
date 日付	February 11, 2022 16:37:20 UTC 2022 年 2 月 12 日 (土) 1 時 37 分 20 秒 (日本時間)
composite number 合成数	115740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740741<213>
prime factors 素因数	5698526772758152978535531822321374921<37> 9208915420298084193832274490353879641372219<43> 2205541227473109669284069117717887240786066656772151002467555465924314845752225862994704638456526861509716445366454525518199808271559<133>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3863502723 Step 1 took 11992ms Step 2 took 3959ms ******** Factor found in step 2: 9208915420298084193832274490353879641372219 Found probable prime factor of 43 digits: 9208915420298084193832274490353879641372219 Composite cofactor 12568335733177395011398984963855708629391188563438693563640153735160273214078266999753377851007037750824309989318556687914710581246470098610611665224924609495985420171839 has 170 digits Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2578098580 Step 1 took 7308ms Step 2 took 3297ms ******** Factor found in step 2: 5698526772758152978535531822321374921 Found probable prime factor of 37 digits: 5698526772758152978535531822321374921 Probable prime cofactor 2205541227473109669284069117717887240786066656772151002467555465924314845752225862994704638456526861509716445366454525518199808271559 has 133 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000 / 2078		Dmitry Domanov	February 11, 2022 12:19:16 UTC 2022 年 2 月 11 日 (金) 21 時 19 分 16 秒 (日本時間)

2×10²¹⁶+2249

c179

composite cofactor 合成数の残り	26753835683518738138752176887717986961923146004935521099007140589267749603213847124529357157816618783982139896452991804543230353192181196767823451122935012909540181925438799835919<179>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000	Dmitry Domanov	February 11, 2022 16:57:46 UTC 2022 年 2 月 12 日 (土) 1 時 57 分 46 秒 (日本時間)
45	11e6	1200 / 4213	Dmitry Domanov	February 17, 2022 07:56:55 UTC 2022 年 2 月 17 日 (木) 16 時 56 分 55 秒 (日本時間)

2×10²¹⁷+2249

c189

composite cofactor 合成数の残り	200356823734247494205048952645963702225626363420739614448106866675031327187447097269525509465674621693512889355389748152546086744110802712888153141856380636177856206356374390695875966518999<189>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000	Dmitry Domanov	February 11, 2022 16:55:54 UTC 2022 年 2 月 12 日 (土) 1 時 55 分 54 秒 (日本時間)
45	11e6	1200 / 4213	Dmitry Domanov	February 17, 2022 07:57:02 UTC 2022 年 2 月 17 日 (木) 16 時 57 分 2 秒 (日本時間)

2×10²¹⁹+2249

c183

name 名前	Erik Branger
date 日付	December 15, 2022 18:28:09 UTC 2022 年 12 月 16 日 (金) 3 時 28 分 9 秒 (日本時間)
composite number 合成数	791570485875969291265142521628882093026759039667754836860256120118116770011941235256034673693215088966772405539046292488468696283333578109481790023695615827799562343527403985825591857<183>
prime factors 素因数	677285846141991325757759138368406571872893566920311820356035450189704717243<75> 1168739152582288674500047662247986632557244652685447987656161605798336143504789787113749335018303659536573699<109>
factorization results 素因数分解の結果	Number: 22272_219 N = 791570485875969291265142521628882093026759039667754836860256120118116770011941235256034673693215088966772405539046292488468696283333578109481790023695615827799562343527403985825591857 (183 digits) SNFS difficulty: 221 digits. Divisors found: r1=677285846141991325757759138368406571872893566920311820356035450189704717243 (pp75) r2=1168739152582288674500047662247986632557244652685447987656161605798336143504789787113749335018303659536573699 (pp109) Version: Msieve v. 1.52 (SVN unknown) Total time: 52.43 hours. Factorization parameters were as follows: n: 791570485875969291265142521628882093026759039667754836860256120118116770011941235256034673693215088966772405539046292488468696283333578109481790023695615827799562343527403985825591857 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 1 c0: 2240 skew: 1.00 type: snfs lss: 1 rlim: 536870912 alim: 44739242 lpbr: 29 lpba: 28 mfbr: 58 mfba: 56 rlambda: 2.8 alambda: 2.8 side: 1 Number of cores used: 6 Number of threads per core: 1 Factor base limits: 536870912/44739242 Large primes per side: 3 Large prime bits: 29/28 Total raw relations: 30143349 Relations: 7696246 relations Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G rational relations. Total batch smoothness checking time: 12.47 hours. Total relation processing time: 0.41 hours. Pruned matrix : 6556512 x 6556738 Matrix solve time: 39.39 hours. time per square root: 0.17 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: 52.43 hours. Intel64 Family 6 Model 158 Stepping 10, GenuineIntel Windows-10-10.0.22621-SP0 processors: 12, speed: 3.19GHz
software ソフトウェア	GGNFS, NFS_factory, Msieve

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000	Dmitry Domanov	February 11, 2022 14:02:39 UTC 2022 年 2 月 11 日 (金) 23 時 2 分 39 秒 (日本時間)
45	11e6	1200 / 4213	Dmitry Domanov	February 17, 2022 07:58:46 UTC 2022 年 2 月 17 日 (木) 16 時 58 分 46 秒 (日本時間)

2×10²²⁰+2249

c193

name 名前	Dmitry Domanov
date 日付	February 11, 2022 14:27:13 UTC 2022 年 2 月 11 日 (金) 23 時 27 分 13 秒 (日本時間)
composite number 合成数	3023816969217877653342171094982155155078425110604052526129712251563808419992442205521486456513625184899190942615471740866137247242964104471763815842113772945942373212004810585898328100685975779<193>
prime factors 素因数	592440007229422381825018372564211<33>
composite cofactor 合成数の残り	5104005354666914970897365155773518140715777723403440118266363635824910709952937309948129780199744396370646824532319235736103182081328163932555850522918923051089<160>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4245158790 Step 1 took 7771ms Step 2 took 3709ms ********** Factor found in step 2: 592440007229422381825018372564211 Found prime factor of 33 digits: 592440007229422381825018372564211 Composite cofactor 5104005354666914970897365155773518140715777723403440118266363635824910709952937309948129780199744396370646824532319235736103182081328163932555850522918923051089 has 160 digits

c160

name 名前	Erik Branger
date 日付	December 15, 2022 18:28:26 UTC 2022 年 12 月 16 日 (金) 3 時 28 分 26 秒 (日本時間)
composite number 合成数	5104005354666914970897365155773518140715777723403440118266363635824910709952937309948129780199744396370646824532319235736103182081328163932555850522918923051089<160>
prime factors 素因数	133353038421954466892302447930629277654481174993101901<54> 38274383659087450399110275562493350509095929554272548875948209245948791538731041075603383724948923940371989<107>
factorization results 素因数分解の結果	Number: 22272_220 N = 5104005354666914970897365155773518140715777723403440118266363635824910709952937309948129780199744396370646824532319235736103182081328163932555850522918923051089 (160 digits) SNFS difficulty: 221 digits. Divisors found: r1=133353038421954466892302447930629277654481174993101901 (pp54) r2=38274383659087450399110275562493350509095929554272548875948209245948791538731041075603383724948923940371989 (pp107) Version: Msieve v. 1.52 (SVN unknown) Total time: 33.14 hours. Factorization parameters were as follows: n: 5104005354666914970897365155773518140715777723403440118266363635824910709952937309948129780199744396370646824532319235736103182081328163932555850522918923051089 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 1 c0: 224 skew: 1.00 type: snfs lss: 1 rlim: 536870912 alim: 44739242 lpbr: 29 lpba: 28 mfbr: 58 mfba: 56 rlambda: 2.8 alambda: 2.8 side: 1 Number of cores used: 6 Number of threads per core: 1 Factor base limits: 536870912/44739242 Large primes per side: 3 Large prime bits: 29/28 Total raw relations: 30493356 Relations: 6902900 relations Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G rational relations. Total batch smoothness checking time: 11.34 hours. Total relation processing time: 0.41 hours. Pruned matrix : 6039321 x 6039546 Matrix solve time: 21.25 hours. time per square root: 0.14 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: 33.14 hours. Intel64 Family 6 Model 158 Stepping 10, GenuineIntel Windows-10-10.0.22621-SP0 processors: 12, speed: 3.19GHz
software ソフトウェア	GGNFS, NFS_Factory, Msieve

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000	Dmitry Domanov	February 11, 2022 14:02:05 UTC 2022 年 2 月 11 日 (金) 23 時 2 分 5 秒 (日本時間)
45	11e6	1200 / 4213	Dmitry Domanov	February 17, 2022 07:57:40 UTC 2022 年 2 月 17 日 (木) 16 時 57 分 40 秒 (日本時間)

2×10²²¹+2249

c184

name 名前	Dmitry Domanov
date 日付	February 11, 2022 15:22:55 UTC 2022 年 2 月 12 日 (土) 0 時 22 分 55 秒 (日本時間)
composite number 合成数	1662206595580399727014466850893197122534309220277599741794396779851758576822501461249066623455235968256295114755608346764473291291528110090246941272457835286554270887570024083844740971<184>
prime factors 素因数	29950434989770757973346788188753135407<38> 55498579441270490003055477279863393579311174618433153095785071302886073338035314387181207177498163933396606948524944319752247820113937595211269253<146>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:5131123 Step 1 took 19212ms Step 2 took 7885ms ********** Factor found in step 2: 29950434989770757973346788188753135407 Found prime factor of 38 digits: 29950434989770757973346788188753135407 Prime cofactor 55498579441270490003055477279863393579311174618433153095785071302886073338035314387181207177498163933396606948524944319752247820113937595211269253 has 146 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000 / 2078		Dmitry Domanov	February 11, 2022 14:02:16 UTC 2022 年 2 月 11 日 (金) 23 時 2 分 16 秒 (日本時間)

2×10²²²+2249

c198

composite cofactor 合成数の残り

172688272672837495934794864556699095420094540061266729690223260533135151175706112297169900261330606256251939286133344808261060392120033957903526338110661518319613960740965823709379553949160725905381<198>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000	Dmitry Domanov	February 11, 2022 12:11:21 UTC 2022 年 2 月 11 日 (金) 21 時 11 分 21 秒 (日本時間)
45	11e6	1200 / 4213	Dmitry Domanov	February 18, 2022 09:45:22 UTC 2022 年 2 月 18 日 (金) 18 時 45 分 22 秒 (日本時間)

2×10²²⁶+2249

c166

composite cofactor 合成数の残り	1275739652643977157425528791113054938939503857688739923819039470741054025362933948853662404677889641304567648939698738066119828045292728463615247867324276274332546201<166>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000	Dmitry Domanov	February 11, 2022 09:45:53 UTC 2022 年 2 月 11 日 (金) 18 時 45 分 53 秒 (日本時間)
45	11e6	1200 / 4213	Dmitry Domanov	February 18, 2022 09:46:07 UTC 2022 年 2 月 18 日 (金) 18 時 46 分 7 秒 (日本時間)

2×10²²⁸+2249

c165

composite cofactor 合成数の残り	942224562438360369331980764984001176536196968019100631123689976460494870402953333823827484536966054977900993729209362451189556190101599382066186759974250086318341779<165>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000	Dmitry Domanov	February 11, 2022 09:44:05 UTC 2022 年 2 月 11 日 (金) 18 時 44 分 5 秒 (日本時間)
45	11e6	1200 / 4213	Dmitry Domanov	February 18, 2022 09:46:19 UTC 2022 年 2 月 18 日 (金) 18 時 46 分 19 秒 (日本時間)

2×10²³⁰+2249

c131

name 名前	Eric Jeancolas
date 日付	January 5, 2022 04:50:05 UTC 2022 年 1 月 5 日 (水) 13 時 50 分 5 秒 (日本時間)
composite number 合成数	11560963570660986307255647237334596132073078145864962549371548419847362622055599899853641495309724644490476335995363546415296075047<131>
prime factors 素因数	46747147055373849401965758595061381193635771570216933<53> 247308430543719951904042183191467554659329734792186114713263024788040057772059<78>
factorization results 素因数分解の結果	11560963570660986307255647237334596132073078145864962549371548419847362622055599899853641495309724644490476335995363546415296075047=46747147055373849401965758595061381193635771570216933247308430543719951904042183191467554659329734792186114713263024788040057772059 cado polynomial n: 11560963570660986307255647237334596132073078145864962549371548419847362622055599899853641495309724644490476335995363546415296075047 skew: 62827.709 c0: -30149021686280504053391037360 c1: 4328654941767385008206594 c2: -110332203867300365019 c3: -4114014281072288 c4: 19524012330 c5: 96660 Y0: -12864067221478208524995269 Y1: 1204428688587726577 # MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 4.304e-07 # f(x) = 96660x^5+19524012330x^4-4114014281072288x^3-110332203867300365019x^2+4328654941767385008206594x-30149021686280504053391037360 # g(x) = 1204428688587726577*x-12864067221478208524995269 cado parameters (extracts) tasks.lim0 = 13124945 tasks.lim1 = 44217255 tasks.lpb0 = 28 tasks.lpb1 = 28 tasks.sieve.mfb0 = 56 tasks.sieve.mfb1 = 56 tasks.I = 14 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 247308430543719951904042183191467554659329734792186114713263024788040057772059 46747147055373849401965758595061381193635771570216933 Info:Square Root: Total cpu/real time for sqrt: 731.99/219.049 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 424.84/406.083 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 342.3s Info:Filtering - Singleton removal: Total cpu/real time for purge: 307.69/342.882 Info:Generate Free Relations: Total cpu/real time for freerel: 251.41/64.2552 Info:Linear Algebra: Total cpu/real time for bwc: 51274.8/13239.8 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 32799.5, WCT time 8451.27, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (55552 iterations) Info:Linear Algebra: Lingen CPU time 347.13, WCT time 88.25 Info:Linear Algebra: Mksol: CPU time 17801.29, WCT time 4574.03, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (27904 iterations) Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 24884207 Info:Lattice Sieving: Average J: 7632.2 for 79360 special-q, max bucket fill -bkmult 1.0,1s:1.071770 Info:Lattice Sieving: Total time: 109036s Info:Generate Factor Base: Total cpu/real time for makefb: 40.71/10.777 Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 5530.12 Info:Polynomial Selection (root optimized): Rootsieve time: 5527.66 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 105.24/124.732 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 124.3s Info:Filtering - Merging: Merged matrix has 1774578 rows and total weight 301789205 (170.1 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 439.98/124.52 Info:Filtering - Merging: Total cpu/real time for replay: 70.42/58.9398 Info:Quadratic Characters: Total cpu/real time for characters: 67.8/28.4951 Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 38210.8 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38393/38.850/46.439/50.970/0.847 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30542/37.700/41.704/47.330/1.003 Info:Polynomial Selection (size optimized): Total time: 4840.97 Info:Square Root: Total cpu/real time for sqrt: 731.99/219.049 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 268921/72117.8 Info:root: Cleaning up computation data in /tmp/cado.i9oqhhb3 247308430543719951904042183191467554659329734792186114713263024788040057772059 46747147055373849401965758595061381193635771570216933
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic\|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	December 30, 2021 13:27:03 UTC 2021 年 12 月 30 日 (木) 22 時 27 分 3 秒 (日本時間)

2×10²³¹+2249

c197

name 名前	Dmitry Domanov
date 日付	February 19, 2022 00:31:12 UTC 2022 年 2 月 19 日 (土) 9 時 31 分 12 秒 (日本時間)
composite number 合成数	52368920335419651341347313370463187170008826457986378825325730912377237995351055838573244993424674581585986945210838399552828904159549694359404284709251607394273083570424133865412301959906717183231<197>
prime factors 素因数	1627953043313706876863192151135162422110907<43>
composite cofactor 合成数の残り	32168569327296100594299620452550352828467737405547430056045954086949459650940123942960563280156123727521741056626644866220396302933022045144882579802401933<155>
factorization results 素因数分解の結果	Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:295053443 Step 1 took 32137ms Step 2 took 13174ms ********** Factor found in step 2: 1627953043313706876863192151135162422110907 Found prime factor of 43 digits: 1627953043313706876863192151135162422110907 Composite cofactor 32168569327296100594299620452550352828467737405547430056045954086949459650940123942960563280156123727521741056626644866220396302933022045144882579802401933 has 155 digits

c155

name 名前	yoyo
date 日付	September 12, 2024 13:55:34 UTC 2024 年 9 月 12 日 (木) 22 時 55 分 34 秒 (日本時間)
composite number 合成数	32168569327296100594299620452550352828467737405547430056045954086949459650940123942960563280156123727521741056626644866220396302933022045144882579802401933<155>
prime factors 素因数	221227594577528726894060389021905148310031740384223287269<57> 145409388863660477026326212651854535345282328013889353109181857554687244462633230927198427059480457<99>
factorization results 素因数分解の結果	GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc] [ECM] Input number is 32168569327296100594299620452550352828467737405547430056045954086949459650940123942960563280156123727521741056626644866220396302933022045144882579802401933 (155 digits) [Thu Sep 12 03:05:33 2024] Using MODMULN [mulredc:0, sqrredc:0] Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=0:12934791397085720145 dF=131072, k=4, d=1345890, d2=11, i0=71 Expected number of curves to find a factor of n digits: 35 40 45 50 55 60 65 70 75 80 34 135 614 3135 17884 111314 752662 5482978 4.3e+07 3.6e+08 Writing checkpoint to checkpnt at p = 77171579 Writing checkpoint to checkpnt at p = 110000000 Step 1 took 855063ms Using 20 small primes for NTT Estimated memory usage: 472.20MB Initializing tables of differences for F took 484ms Computing roots of F took 27078ms Building F from its roots took 13187ms Computing 1/F took 5265ms Initializing table of differences for G took 547ms Computing roots of G took 23125ms Building G from its roots took 15390ms Computing roots of G took 22844ms Building G from its roots took 15390ms Computing G * H took 2875ms Reducing G * H mod F took 3375ms Computing roots of G took 23235ms Building G from its roots took 14359ms Computing G * H took 2641ms Reducing G * H mod F took 3000ms Computing roots of G took 23109ms Building G from its roots took 13516ms Computing G * H took 2937ms Reducing G * H mod F took 3063ms Computing polyeval(F,G) took 26094ms Computing product of all F(g_i) took 109ms Step 2 took 242781ms ********** Factor found in step 2: 221227594577528726894060389021905148310031740384223287269 Found prime factor of 57 digits: 221227594577528726894060389021905148310031740384223287269 Prime cofactor 145409388863660477026326212651854535345282328013889353109181857554687244462633230927198427059480457 has 99 digits Peak memory usage: 615MB
software ソフトウェア	GMP-ECM 7.0.5-dev [configured with GMP 6.1.2]

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	February 11, 2022 09:46:24 UTC 2022 年 2 月 11 日 (金) 18 時 46 分 24 秒 (日本時間)
45	11e6	5680	1200	Dmitry Domanov	February 18, 2022 09:46:28 UTC 2022 年 2 月 18 日 (金) 18 時 46 分 28 秒 (日本時間)
45	11e6	5680	4480	Ignacio Santos	February 21, 2022 21:26:22 UTC 2022 年 2 月 22 日 (火) 6 時 26 分 22 秒 (日本時間)
50	43e6	5000 / 6235		yoyo@Home	September 9, 2024 00:16:04 UTC 2024 年 9 月 9 日 (月) 9 時 16 分 4 秒 (日本時間)

2×10²³²+2249

c173

name 名前	Dmitry Domanov
date 日付	February 18, 2022 21:13:54 UTC 2022 年 2 月 19 日 (土) 6 時 13 分 54 秒 (日本時間)
composite number 合成数	56625755816773766591697276539813784385957288995961417248290101136351541391693057763905201655214527296447649235407360335227898970443917162300063945126686506728711367931655803<173>
prime factors 素因数	115409482800849192657759008241227440243297<42> 490650806524168129529763539200844165040563100309484489357583891661575574033680805296088861021979865799385332044445390575748000030299<132>
factorization results 素因数分解の結果	Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1001862395 Step 1 took 25199ms Step 2 took 9934ms ********** Factor found in step 2: 115409482800849192657759008241227440243297 Found prime factor of 42 digits: 115409482800849192657759008241227440243297 Prime cofactor 490650806524168129529763539200844165040563100309484489357583891661575574033680805296088861021979865799385332044445390575748000030299 has 132 digits

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000	Dmitry Domanov	February 11, 2022 09:44:32 UTC 2022 年 2 月 11 日 (金) 18 時 44 分 32 秒 (日本時間)
45	11e6	1200 / 4213	Dmitry Domanov	February 18, 2022 09:46:39 UTC 2022 年 2 月 18 日 (金) 18 時 46 分 39 秒 (日本時間)

2×10²³³+2249

c227

composite cofactor 合成数の残り

33364295399464035958703009726359394851755762681101395428290787183839936794678795255330279833018374384762392833883176921516500645932758933623736160490268302317884329991565506123015491709639879141176344981476143194217567235728089<227>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	3350	1000	Dmitry Domanov	February 11, 2022 09:45:02 UTC 2022 年 2 月 11 日 (金) 18 時 45 分 2 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	July 28, 2023 14:56:04 UTC 2023 年 7 月 28 日 (金) 23 時 56 分 4 秒 (日本時間)

2×10²³⁴+2249

c168

name 名前	Dmitry Domanov
date 日付	February 18, 2022 21:13:29 UTC 2022 年 2 月 19 日 (土) 6 時 13 分 29 秒 (日本時間)
composite number 合成数	820487134384122253556051057290639826741516749627503637262354295838090206723835278536505109605398972092635733834054959118638929456234186536512823303666005765152635855249<168>
prime factors 素因数	1062174408154841181964655167013414802449<40> 772459897437590729465700140999532502183008485091911366941391942825519696022276838222892191132303250981734015243029195753927587201<129>
factorization results 素因数分解の結果	Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3282349165 Step 1 took 20056ms Step 2 took 9408ms ********** Factor found in step 2: 1062174408154841181964655167013414802449 Found prime factor of 40 digits: 1062174408154841181964655167013414802449 Prime cofactor 772459897437590729465700140999532502183008485091911366941391942825519696022276838222892191132303250981734015243029195753927587201 has 129 digits

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000	Dmitry Domanov	February 11, 2022 05:49:36 UTC 2022 年 2 月 11 日 (金) 14 時 49 分 36 秒 (日本時間)
45	11e6	1200 / 4213	Dmitry Domanov	February 18, 2022 09:46:58 UTC 2022 年 2 月 18 日 (金) 18 時 46 分 58 秒 (日本時間)

2×10²³⁶+2249

c222

composite cofactor 合成数の残り

138852584931195734072644123081426851506230915697577740381187700830250271838729494446804472427881080496484559430261617252473500213646215425124086091921754518482611616312491844844285108977800495846232341243411035524201154411<222>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	3350	1000	Dmitry Domanov	February 11, 2022 05:37:05 UTC 2022 年 2 月 11 日 (金) 14 時 37 分 5 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	July 28, 2023 15:09:15 UTC 2023 年 7 月 29 日 (土) 0 時 9 分 15 秒 (日本時間)

2×10²³⁸+2249

c187

composite cofactor 合成数の残り	7584688042866900151959892801422829279154335809322707819835167442299097758547870354529444209115420256218968194642845633525384528107238768322043580772357784123700172718488017162261581480183<187>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000	Dmitry Domanov	February 11, 2022 05:37:13 UTC 2022 年 2 月 11 日 (金) 14 時 37 分 13 秒 (日本時間)
45	11e6	1200 / 4213	Dmitry Domanov	February 18, 2022 09:47:18 UTC 2022 年 2 月 18 日 (金) 18 時 47 分 18 秒 (日本時間)

2×10²³⁹+2249

c220

composite cofactor 合成数の残り

5684561694486619707045476156636366468954468343471079758558895387907788038173751396703427922580637941681524620585049071359708994564892807601440983531584340687569863169054365979045797566698433508720317692847671060790589299<220>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	3350	1000	Dmitry Domanov	February 11, 2022 05:36:52 UTC 2022 年 2 月 11 日 (金) 14 時 36 分 52 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	July 28, 2023 15:37:48 UTC 2023 年 7 月 29 日 (土) 0 時 37 分 48 秒 (日本時間)

2×10²⁴¹+2249

c213

composite cofactor 合成数の残り

388438055760570650437608724176155119620601017998914569175053450186283537355227494611074006990307224934151474941810955968275237411392331065616780784337308035141035549247422158392161076491547484885232476034478195687<213>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	3350	1000	Dmitry Domanov	February 11, 2022 05:34:29 UTC 2022 年 2 月 11 日 (金) 14 時 34 分 29 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	July 28, 2023 15:38:10 UTC 2023 年 7 月 29 日 (土) 0 時 38 分 10 秒 (日本時間)

2×10²⁴²+2249

c225

composite cofactor 合成数の残り

549446979708441255623905823184483104510888086881017504692150681341790535023429171086469418736987267341850968905528759149594611554882318339605357483509545236117280081039459012822926383040125844435886664753275961882473567823203<225>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	3350	1000	Dmitry Domanov	February 11, 2022 05:34:19 UTC 2022 年 2 月 11 日 (金) 14 時 34 分 19 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	July 28, 2023 15:51:38 UTC 2023 年 7 月 29 日 (土) 0 時 51 分 38 秒 (日本時間)

2×10²⁴³+2249

c184

name 名前	Ignacio Santos
date 日付	July 28, 2023 15:52:05 UTC 2023 年 7 月 29 日 (土) 0 時 52 分 5 秒 (日本時間)
composite number 合成数	2780635814838006375250504634167432373944160266582416734476663490305179601394029895998902045780615818759367936267013863484402057634640789055783570217547006539701496092021705287494315899<184>
prime factors 素因数	24405800624246620277647986922991939915741<41> 113933398770598269917765467561135749943265922428506761044217961482153786716749336055611654983990066959728845353831248551770713257552085309322039<144>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3529048682 Step 1 took 7453ms Step 2 took 3531ms ********** Factor found in step 2: 24405800624246620277647986922991939915741 Found prime factor of 41 digits: 24405800624246620277647986922991939915741 Prime cofactor 113933398770598269917765467561135749943265922428506761044217961482153786716749336055611654983990066959728845353831248551770713257552085309322039 has 144 digits
software ソフトウェア	GMP-ECM

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000 / 2078		Dmitry Domanov	February 10, 2022 05:31:43 UTC 2022 年 2 月 10 日 (木) 14 時 31 分 43 秒 (日本時間)

2×10²⁴⁴+2249

c242

composite cofactor 合成数の残り

34722222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223<242>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	3350	1000	Dmitry Domanov	February 10, 2022 05:31:34 UTC 2022 年 2 月 10 日 (木) 14 時 31 分 34 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	July 28, 2023 16:05:59 UTC 2023 年 7 月 29 日 (土) 1 時 5 分 59 秒 (日本時間)

2×10²⁴⁶+2249

c212

composite cofactor 合成数の残り

34027051143228906374294335589220416930644210256291864741595091976019463056322353564411745602262958082953714685090783780098052087402082413927503096513343854187145894778553908342312591883593207449648779629672244233<212>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	3350	1000	Dmitry Domanov	February 10, 2022 05:31:25 UTC 2022 年 2 月 10 日 (木) 14 時 31 分 25 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	July 28, 2023 16:24:02 UTC 2023 年 7 月 29 日 (土) 1 時 24 分 2 秒 (日本時間)

2×10²⁴⁷+2249

c199

composite cofactor 合成数の残り

1789676095003563854368493276882311617024189024345347737047259413712763805359682640584539039714299623245218308913994574120702409148400694903395523140673438798673847301968380960281946621850306323472161<199>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	3350	1000	Dmitry Domanov	February 10, 2022 05:31:16 UTC 2022 年 2 月 10 日 (木) 14 時 31 分 16 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	July 28, 2023 16:29:35 UTC 2023 年 7 月 29 日 (土) 1 時 29 分 35 秒 (日本時間)

2×10²⁴⁸+2249

c202

composite cofactor 合成数の残り

8422063750472776396979108133299036177004043387099700059282158346301031437599576350584177977127770933905537257274950658869782738329640867544961982984814248899918455060208767369956587702957920543112097723<202>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	3350	1000	Dmitry Domanov	February 10, 2022 05:31:07 UTC 2022 年 2 月 10 日 (木) 14 時 31 分 7 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	July 28, 2023 16:40:53 UTC 2023 年 7 月 29 日 (土) 1 時 40 分 53 秒 (日本時間)

2×10²⁴⁹+2249

c225

composite cofactor 合成数の残り

323782506299385225736446721142962345693263924978731795770468501125411603990895810623312438744375838695257409903339384383478703816332085470564534604866026211874721354486987303370014549142425255939646565594343307400591446402503<225>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	3350	1000	Dmitry Domanov	February 10, 2022 05:30:57 UTC 2022 年 2 月 10 日 (木) 14 時 30 分 57 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	July 29, 2023 06:47:40 UTC 2023 年 7 月 29 日 (土) 15 時 47 分 40 秒 (日本時間)

2×10²⁵⁰+2249

c204

composite cofactor 合成数の残り

134941608578827294017737240121428859644211736187532212627184311617920018397927523946631013246265570071299759337239006111965660283979994784646665175577692280049058014526500291985114403960066264527080295083<204>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	3350	1000	Dmitry Domanov	February 10, 2022 05:30:48 UTC 2022 年 2 月 10 日 (木) 14 時 30 分 48 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	July 29, 2023 07:11:15 UTC 2023 年 7 月 29 日 (土) 16 時 11 分 15 秒 (日本時間)

2×10²⁵²+2249

c217

composite cofactor 合成数の残り

3698201597858730616741261482877918884752610552178368948807881106806109006611288232928191576799968822227461927735346600898207109654980985269115829617661055721824714883931832813042522406469888843186689820284765311053699<217>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	3350	1000	Dmitry Domanov	February 10, 2022 05:30:40 UTC 2022 年 2 月 10 日 (木) 14 時 30 分 40 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	July 29, 2023 07:11:36 UTC 2023 年 7 月 29 日 (土) 16 時 11 分 36 秒 (日本時間)

2×10²⁵³+2249

c242

composite cofactor 合成数の残り

68544296478409023787275521599268208193501679884605130717644068491020122376275868537157036092881941903164652507429887531204481151575625670369662722709223087790605139873407344016618429347331300846448384614952731481364225038305749778122715489199<242>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	3350	1000	Dmitry Domanov	February 10, 2022 05:30:32 UTC 2022 年 2 月 10 日 (木) 14 時 30 分 32 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	July 29, 2023 07:17:14 UTC 2023 年 7 月 29 日 (土) 16 時 17 分 14 秒 (日本時間)

2×10²⁵⁴+2249

c211

composite cofactor 合成数の残り

6892701799417332848500083939737173905015452303837481773281747312588294396261354983818607191947285018766585821437152325859188944536076943773176774164679490308262849830507558920153475511409898172336499806953287683<211>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	3350	1000	Dmitry Domanov	February 10, 2022 05:29:47 UTC 2022 年 2 月 10 日 (木) 14 時 29 分 47 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	July 29, 2023 07:26:02 UTC 2023 年 7 月 29 日 (土) 16 時 26 分 2 秒 (日本時間)

2×10²⁵⁷+2249

c225

composite cofactor 合成数の残り

104325948518762753700578073530402622930055983413155502596434461323984838589046406244750983266239323720844314299894791631674565168341579917449699702999094678145703321573272828771213979186358833529302727153103362799824228863777<225>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	3350	1000	Dmitry Domanov	February 9, 2022 10:11:59 UTC 2022 年 2 月 9 日 (水) 19 時 11 分 59 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	July 29, 2023 07:55:12 UTC 2023 年 7 月 29 日 (土) 16 時 55 分 12 秒 (日本時間)

2×10²⁵⁸+2249

c212

composite cofactor 合成数の残り

84245546727502233811714371431365059959170475224570079711517016249531853584155328085628533851344840784682941777821950682152774902048050475821333301440830982566564238912563610395907669024996279453475800032508443203<212>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	3350	1000	Dmitry Domanov	February 9, 2022 10:11:50 UTC 2022 年 2 月 9 日 (水) 19 時 11 分 50 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	July 29, 2023 07:55:32 UTC 2023 年 7 月 29 日 (土) 16 時 55 分 32 秒 (日本時間)

2×10²⁵⁹+2249

c239

composite cofactor 合成数の残り

82320069855887170620393536733834611389581014979719128194775795127790553657499332091382685038453412619602142117557239490759300633989222466932313872729343564072371293706751371567326597915543365366632359449763451219670319021133644296717080457<239>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	3350	1000	Dmitry Domanov	February 9, 2022 10:11:41 UTC 2022 年 2 月 9 日 (水) 19 時 11 分 41 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	July 29, 2023 08:09:49 UTC 2023 年 7 月 29 日 (土) 17 時 9 分 49 秒 (日本時間)

2×10²⁶⁰+2249

c248

composite cofactor 合成数の残り

77001968693514302631779808381688050784460413146223362215941647446457211520126765546319880046537193659669695709667666786642608626926907123918573426628966898030026974168359820882392658531021914868684305461015218062169229081987892761850649546562359517<248>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	3350	1000	Dmitry Domanov	February 9, 2022 10:11:15 UTC 2022 年 2 月 9 日 (水) 19 時 11 分 15 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	July 29, 2023 08:33:43 UTC 2023 年 7 月 29 日 (土) 17 時 33 分 43 秒 (日本時間)

2×10²⁶¹+2249

c217

composite cofactor 合成数の残り

5028928226960959445342957120731298997139942226816437521855203361933378729959865767152256604275270146833454419789121672685560908988267237315951646017384350356733733570086418719052306008263080827796612405580628498304123<217>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	3350	1000	Dmitry Domanov	February 9, 2022 10:11:34 UTC 2022 年 2 月 9 日 (水) 19 時 11 分 34 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	July 29, 2023 08:34:03 UTC 2023 年 7 月 29 日 (土) 17 時 34 分 3 秒 (日本時間)
45	11e6	4480		ivelive	November 26, 2023 01:45:57 UTC 2023 年 11 月 26 日 (日) 10 時 45 分 57 秒 (日本時間)

2×10²⁶²+2249

c251

composite cofactor 合成数の残り

48010383293012085623674237530936867412645180958230181930191557786695317014225499768336688153734449939808168763061100908075041922739667240758544962492196855119648760239233401651371319802150510186593703568020471243967606915363804401472321473165804506881<251>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	3350	1000	Dmitry Domanov	February 6, 2022 16:38:02 UTC 2022 年 2 月 7 日 (月) 1 時 38 分 2 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	July 29, 2023 08:49:08 UTC 2023 年 7 月 29 日 (土) 17 時 49 分 8 秒 (日本時間)

2×10²⁶³+2249

c230

name 名前	ivelive
date 日付	November 26, 2023 14:32:30 UTC 2023 年 11 月 26 日 (日) 23 時 32 分 30 秒 (日本時間)
composite number 合成数	10883789879617165873314382008606081049792583729020499976023290112133668313827677190425990789943545437117753639819450994575617033043444868138127511432030808838061580581881671920848982710992560122399112343210132665762253734483108587<230>
prime factors 素因数	59317546430376487392790982283811188121983706026089<50> 183483480598644286442101641727365892993881909043534551648079557920647733351536639432291286527132313621245458977208131715066324434777615667768348797603559964356568199152953928248883<180>
factorization results 素因数分解の結果	prp50 = 59317546430376487392790982283811188121983706026089 (curve 373 stg2 B1=11000000 sigma=3246453407 thread=2)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	2952	602	Marlon Trifunovic	February 19, 2022 16:21:02 UTC 2022 年 2 月 20 日 (日) 1 時 21 分 2 秒 (日本時間)
40	3e6	2952	2350	Ignacio Santos	July 29, 2023 09:03:02 UTC 2023 年 7 月 29 日 (土) 18 時 3 分 2 秒 (日本時間)

2×10²⁶⁴+2249

c228

name 名前	Dmitry Domanov
date 日付	February 9, 2022 20:24:25 UTC 2022 年 2 月 10 日 (木) 5 時 24 分 25 秒 (日本時間)
composite number 合成数	928233336372470847075441535270515556445379010678933070194936901499758685516491240002060251961673446246075068646492836714094758985934841622400388999471514771869159025622233104779132273234344012004804509605358823526671580660194183<228>
prime factors 素因数	2291381082728777316707432312612883677<37>
composite cofactor 合成数の残り	405097756706208500912678243268321602000305757622949042074847675091823819467500197759410854462731494750394401720975616260734344309444915262515244276051723175535037189455600078911265188059808179<192>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3751699180 Step 1 took 12824ms Step 2 took 4032ms ********** Factor found in step 2: 2291381082728777316707432312612883677 Found probable prime factor of 37 digits: 2291381082728777316707432312612883677 Composite cofactor 405097756706208500912678243268321602000305757622949042074847675091823819467500197759410854462731494750394401720975616260734344309444915262515244276051723175535037189455600078911265188059808179 has 192 digits

c192

name 名前	Ignacio Santos
date 日付	July 29, 2023 09:03:32 UTC 2023 年 7 月 29 日 (土) 18 時 3 分 32 秒 (日本時間)
composite number 合成数	405097756706208500912678243268321602000305757622949042074847675091823819467500197759410854462731494750394401720975616260734344309444915262515244276051723175535037189455600078911265188059808179<192>
prime factors 素因数	39866616717963181714662676336330142711<38>
composite cofactor 合成数の残り	10161327698612526730924380862057903589563578650442168302093580114712568553660485324274175756286557728183013411969456935646914929452708205942530218928797989<155>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:937804872 Step 1 took 4328ms ********** Factor found in step 2: 39866616717963181714662676336330142711 Found prime factor of 38 digits: 39866616717963181714662676336330142711 Composite cofactor 10161327698612526730924380862057903589563578650442168302093580114712568553660485324274175756286557728183013411969456935646914929452708205942530218928797989 has 155 digits
software ソフトウェア	GMP-ECM

c155

name 名前	Bob Backstrom
date 日付	August 2, 2023 05:37:34 UTC 2023 年 8 月 2 日 (水) 14 時 37 分 34 秒 (日本時間)
composite number 合成数	10161327698612526730924380862057903589563578650442168302093580114712568553660485324274175756286557728183013411969456935646914929452708205942530218928797989<155>
prime factors 素因数	747529393564091810345283983573620248364717<42> 342971467180150148400102807267255088105780487<45> 39633661138736527203635044030146387874668459999354115147056603999391<68>
factorization results 素因数分解の結果	# # N = 2x10^264+224 = 2(262)72 # # GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] # Input number is 10161327698612526730924380862057903589563578650442168302093580114712568553660485324274175756286557728183013411969456935646914929452708205942530218928797989 (155 digits) # Using B1=43330000, B2=240490660426, polynomial Dickson(12), sigma=1:1315601958 # Step 1 took 86970ms # Step 2 took 30391ms # ********** Factor found in step 2: 747529393564091810345283983573620248364717 # Found prime factor of 42 digits: 747529393564091810345283983573620248364717 # Composite cofactor 13593214910473367197298891776257376761337362585396792878304173666071266847428434256972209019085117839029727683417 has 113 digits # ./cado-nfs.py 13593214910473367197298891776257376761337362585396792878304173666071266847428434256972209019085117839029727683417 Info:root: Using default parameter file ./parameters/factor/params.c115 Info:root: No database exists yet Info:root: Created temporary directory /tmp/cado.xn3kz4w3 Info:Database: Opened connection to database /tmp/cado.xn3kz4w3/c115.db Info:root: Set tasks.linalg.bwc.threads=8 based on detected physical cores Info:root: Set tasks.threads=16 based on detected logical cpus Info:root: tasks.threads = 16 [via tasks.threads] Info:root: tasks.polyselect.threads = 2 [via tasks.polyselect.threads] Info:root: tasks.sieve.las.threads = 2 [via tasks.sieve.las.threads] Info:root: tasks.linalg.bwc.threads = 8 [via tasks.linalg.bwc.threads] Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads] Info:root: slaves.scriptpath is /home/bob/Math/cado-nfs/build/LINUX-7 Info:root: Command line parameters: ./cado-nfs.py 13593214910473367197298891776257376761337362585396792878304173666071266847428434256972209019085117839029727683417 Info:root: If this computation gets interrupted, it can be resumed with ./cado-nfs.py /tmp/cado.xn3kz4w3/c115.parameters_snapshot.0 Info:Server Launcher: Adding LINUX-7 to whitelist to allow clients on localhost to connect Info:HTTP server: Using non-threaded HTTPS server Info:HTTP server: Using whitelist: localhost,LINUX-7 Info:Lattice Sieving: param rels_wanted is 0 Info:Complete Factorization / Discrete logarithm: Factoring 13593214910473367197298891776257376761337362585396792878304173666071266847428434256972209019085117839029727683417 ... Info:Square Root: Factors: 342971467180150148400102807267255088105780487 39633661138736527203635044030146387874668459999354115147056603999391 Info:Complete Factorization / Discrete logarithm: Square Root Info:Square Root: Total cpu/real time for sqrt: 440.49/532.107 Info:HTTP server: Got notification to stop serving Workunits Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 245.38 Info:Polynomial Selection (root optimized): Rootsieve time: 244.44 Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 22986.9 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 15664/32.280/39.899/45.540/1.063 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 11903/31.160/35.302/40.370/0.802 Info:Polynomial Selection (size optimized): Total time: 1885.68 Info:Generate Free Relations: Total cpu/real time for freerel: 55.16/58.277 Info:Square Root: Total cpu/real time for sqrt: 440.49/532.107 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 32.9/86.7653 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 85.7s Info:Generate Factor Base: Total cpu/real time for makefb: 3.53/4.25446 Info:Quadratic Characters: Total cpu/real time for characters: 14.7/14.6609 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 6533651 Info:Lattice Sieving: Average J: 1914.08 for 88833 special-q, max bucket fill -bkmult 1.0,1s:1.273990 Info:Lattice Sieving: Total time: 36024.2s Info:Filtering - Singleton removal: Total cpu/real time for purge: 60.99/123.944 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 106.17/212.474 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 178.5s Info:Filtering - Merging: Total cpu/real time for merge: 112.76/116.572 Info:Filtering - Merging: Total cpu/real time for replay: 19.44/27.034 Info:Linear Algebra: Total cpu/real time for bwc: 1596.3/2042.4 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 960.54, WCT time 1215.45, iteration CPU time 0.04, COMM 0.02, cpu-wait 0.03, comm-wait 0.01 (11904 iterations) Info:Linear Algebra: Lingen CPU time 41.34, WCT time 43.47 Info:Linear Algebra: Mksol: CPU time 554.5, WCT time 720.35, iteration CPU time 0.07, COMM 0.02, cpu-wait 0.02, comm-wait 0.0 (6016 iterations) Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 26810.2/8054.45 [02:14:14] Info:root: Cleaning up computation data in /tmp/cado.xn3kz4w3 342971467180150148400102807267255088105780487 39633661138736527203635044030146387874668459999354115147056603999391

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000 / 2078		Dmitry Domanov	February 8, 2022 14:52:25 UTC 2022 年 2 月 8 日 (火) 23 時 52 分 25 秒 (日本時間)

2×10²⁶⁵+2249

c203

composite cofactor 合成数の残り

74651195382106062773171602614266603521467920019711058274731477971908081528184518909581819883404393125058114566898195738826817186677049837811828015934086417074257338066772744819433798557966763324932900467<203>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	3350	1000	Dmitry Domanov	February 8, 2022 14:52:15 UTC 2022 年 2 月 8 日 (火) 23 時 52 分 15 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	July 29, 2023 09:25:14 UTC 2023 年 7 月 29 日 (土) 18 時 25 分 14 秒 (日本時間)

2×10²⁶⁶+2249

c194

composite cofactor 合成数の残り	23190714076068807860078708752588854092494063848853412264406357160514245868285148087273050682203527951746139989534673025830756307924230360790879319662304526094998432721317687789525259031672291491<194>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	3350	1000	Dmitry Domanov	February 8, 2022 14:52:05 UTC 2022 年 2 月 8 日 (火) 23 時 52 分 5 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	July 29, 2023 09:25:27 UTC 2023 年 7 月 29 日 (土) 18 時 25 分 27 秒 (日本時間)
45	11e6	0		-	-
50	43e6	0 / 5569		-	-
55	11e7	768 / 17742		ivelive	November 9, 2023 12:12:50 UTC 2023 年 11 月 9 日 (木) 21 時 12 分 50 秒 (日本時間)

2×10²⁶⁸+2249

c219

composite cofactor 合成数の残り

191161526214732640221306193518183661724274529990658209449225921832903991962065122971604425290150791655731614569175600085464239653277388774025469982257259944359001882462570822900682807434610276147520638539411293225051071<219>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	10000		Dmitry Domanov	February 8, 2022 14:51:51 UTC 2022 年 2 月 8 日 (火) 23 時 51 分 51 秒 (日本時間)

2×10²⁷⁰+2249

c222

composite cofactor 合成数の残り

343836411195234399461847765974207983302658937795853147721357744606029779916490999352270033436377568190258400387118466039822214554507851306200267901594533515136594119155572297695191019762493801904718596687332790109315076237<222>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	3350	1000	Dmitry Domanov	February 8, 2022 14:51:43 UTC 2022 年 2 月 8 日 (火) 23 時 51 分 43 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	July 29, 2023 10:22:41 UTC 2023 年 7 月 29 日 (土) 19 時 22 分 41 秒 (日本時間)

2×10²⁷¹+2249

c221

composite cofactor 合成数の残り

25035552878277643125469878035495955559237344921247572908854252538875230389255865043362728830577312636624213629121598420728051609995950209758256809765913093344834464390690441841182342990652107445874325131075344348900290001<221>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	3350	1000	Dmitry Domanov	February 8, 2022 05:54:42 UTC 2022 年 2 月 8 日 (火) 14 時 54 分 42 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	July 29, 2023 10:22:59 UTC 2023 年 7 月 29 日 (土) 19 時 22 分 59 秒 (日本時間)

2×10²⁷²+2249

c254

composite cofactor 合成数の残り

33661367571185217249871073021178582901493471508156328505452189545444401196849922977797714850996430586897166155130298908420981289219166519791964448868357862095931209436568033904714163349005100139046659743611811112040670698578018733397374010891633288195611<254>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	3350	1000	Dmitry Domanov	February 6, 2022 16:37:53 UTC 2022 年 2 月 7 日 (月) 1 時 37 分 53 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	July 29, 2023 10:23:17 UTC 2023 年 7 月 29 日 (土) 19 時 23 分 17 秒 (日本時間)

2×10²⁷³+2249

c177

name 名前	Ignacio Santos
date 日付	December 31, 2021 14:10:55 UTC 2021 年 12 月 31 日 (金) 23 時 10 分 55 秒 (日本時間)
composite number 合成数	843654908712130528563062453951249378987244127648848147121387066682982057172636251107418661639997792089421433494447071205067443234457806186788557193948573025619591818887294814177<177>
prime factors 素因数	2579888968510858589063944020532926122647<40>
composite cofactor 合成数の残り	327012099749043769188453009231801350709333470449689811231107799646909102924800694070011475024555616762177818847167850794390826932781393991<138>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3962775915 Step 1 took 8421ms Step 2 took 4204ms ********** Factor found in step 2: 2579888968510858589063944020532926122647 Found prime factor of 40 digits: 2579888968510858589063944020532926122647 Composite cofactor 327012099749043769188453009231801350709333470449689811231107799646909102924800694070011475024555616762177818847167850794390826932781393991 has 138 digits
software ソフトウェア	GMP-ECM

c138

name 名前	Eric Jeancolas
date 日付	January 9, 2022 04:33:08 UTC 2022 年 1 月 9 日 (日) 13 時 33 分 8 秒 (日本時間)
composite number 合成数	327012099749043769188453009231801350709333470449689811231107799646909102924800694070011475024555616762177818847167850794390826932781393991<138>
prime factors 素因数	248251249424447901697300590525476313695669954892797<51> 1317262654295585838476385429213716277814743825076185335441290121572112409779739421574803<88>
factorization results 素因数分解の結果	327012099749043769188453009231801350709333470449689811231107799646909102924800694070011475024555616762177818847167850794390826932781393991=2482512494244479016973005905254763136956699548927971317262654295585838476385429213716277814743825076185335441290121572112409779739421574803 cado polynomial n: 327012099749043769188453009231801350709333470449689811231107799646909102924800694070011475024555616762177818847167850794390826932781393991 skew: 606744.705 c0: -2305322606758025275691285498226198 c1: 17934960454458611915172384741 c2: 52011735605566344631378 c3: -55894492286780371 c4: -111039016190 c5: 30000 Y0: -642003525368762687245784612 Y1: 97614988061011013 # MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=2.023e+14) = 3.174e-07 # f(x) = 30000x^5-111039016190x^4-55894492286780371x^3+52011735605566344631378x^2+17934960454458611915172384741x-2305322606758025275691285498226198 # g(x) = 97614988061011013*x-642003525368762687245784612 cado parameters (extracts) tasks.lim0 = 9457107 tasks.lim1 = 12662444 tasks.lpb0 = 28 tasks.lpb1 = 29 tasks.sieve.mfb0 = 58 tasks.sieve.mfb1 = 58 tasks.I = 13 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 1317262654295585838476385429213716277814743825076185335441290121572112409779739421574803 248251249424447901697300590525476313695669954892797 Info:Square Root: Total cpu/real time for sqrt: 613.52/180.917 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 395.57/333.679 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 310.4s Info:Square Root: Total cpu/real time for sqrt: 613.52/180.917 Info:Filtering - Singleton removal: Total cpu/real time for purge: 170.93/180.333 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 32838878 Info:Lattice Sieving: Average J: 3851.91 for 644886 special-q, max bucket fill -bkmult 1.0,1s:1.079830 Info:Lattice Sieving: Total time: 237451s Info:Generate Factor Base: Total cpu/real time for makefb: 11.74/3.12558 Info:Linear Algebra: Total cpu/real time for bwc: 39017.5/10017.1 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 24882.37, WCT time 6354.2, iteration CPU time 0.12, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (48896 iterations) Info:Linear Algebra: Lingen CPU time 310.17, WCT time 78.76 Info:Linear Algebra: Mksol: CPU time 13545.23, WCT time 3475.22, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (24576 iterations) Info:Generate Free Relations: Total cpu/real time for freerel: 491.45/123.797 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 146.87/168.825 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 168.7s Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 6417.39 Info:Polynomial Selection (root optimized): Rootsieve time: 6414.95 Info:Filtering - Merging: Merged matrix has 1563740 rows and total weight 267013796 (170.8 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 379.72/107.667 Info:Filtering - Merging: Total cpu/real time for replay: 61.86/51.4421 Info:Quadratic Characters: Total cpu/real time for characters: 59.74/24.3114 Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 65655.1 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 67195/40.890/49.478/55.730/0.952 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 55309/40.310/44.077/50.120/0.968 Info:Polynomial Selection (size optimized): Total time: 22743.9 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 516011/138344 Info:root: Cleaning up computation data in /tmp/cado.hzdj2xud 1317262654295585838476385429213716277814743825076185335441290121572112409779739421574803 248251249424447901697300590525476313695669954892797
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic\|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	January 1, 2022 15:26:23 UTC 2022 年 1 月 2 日 (日) 0 時 26 分 23 秒 (日本時間)

2×10²⁷⁵+2249

c234

composite cofactor 合成数の残り

829832137931217885207819633806015835336268953396992142298405363369266175769690534446509279384440829090406752790110194863471378208026497184149172650073726717335723972981521858470382103320277454540202575288312166069836483593183574824701<234>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	3350	1000	Dmitry Domanov	February 7, 2022 21:24:53 UTC 2022 年 2 月 8 日 (火) 6 時 24 分 53 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	July 29, 2023 10:23:26 UTC 2023 年 7 月 29 日 (土) 19 時 23 分 26 秒 (日本時間)

2×10²⁷⁶+2249

c150

name 名前	Ignacio Santos
date 日付	December 30, 2021 22:16:39 UTC 2021 年 12 月 31 日 (金) 7 時 16 分 39 秒 (日本時間)
composite number 合成数	262675258549987980715696721390886391778922166062937061598145231734178286121749412244690952554975768714694472546889101904270016903024701014859148784233<150>
prime factors 素因数	3302890823800063879485631935429311<34>
composite cofactor 合成数の残り	79528895311099958874387355184043587462028776508277904743315406074183846720443198720897473352984795813454341834073303<116>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:399883537 Step 1 took 4937ms ********** Factor found in step 2: 3302890823800063879485631935429311 Found prime factor of 34 digits: 3302890823800063879485631935429311 Composite cofactor 79528895311099958874387355184043587462028776508277904743315406074183846720443198720897473352984795813454341834073303 has 116 digits
software ソフトウェア	GMP-ECM

c116

name 名前	Ignacio Santos
date 日付	January 1, 2022 15:01:02 UTC 2022 年 1 月 2 日 (日) 0 時 1 分 2 秒 (日本時間)
composite number 合成数	79528895311099958874387355184043587462028776508277904743315406074183846720443198720897473352984795813454341834073303<116>
prime factors 素因数	20551555071002154837523761512153873215051<41> 3869726404466282260666809884371636423226523783959428664664326851602454895653<76>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3299048329 Step 1 took 4828ms Step 2 took 2938ms ********** Factor found in step 2: 20551555071002154837523761512153873215051 Found prime factor of 41 digits: 20551555071002154837523761512153873215051 Prime cofactor 3869726404466282260666809884371636423226523783959428664664326851602454895653 has 76 digits
software ソフトウェア	GMP-ECM

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

2×10²⁷⁷+2249

c272

name 名前	Dmitry Domanov
date 日付	February 8, 2022 05:42:38 UTC 2022 年 2 月 8 日 (火) 14 時 42 分 38 秒 (日本時間)
composite number 合成数	15993653718204616408209222580480065510005629766108808024975689646348328983059521981677670300424791442755514611802036951737550539945749526587849941143354317007011617790060903833358923179282460719586468089462101438149342340959107426173294436767490659706228568504017605814013<272>
prime factors 素因数	638885475338886166514086188203634353<36> 25033678703872629125757647694406805424396077700827398905204761580856009034328610930914160381488049070590435234741455558502682903621078497689934906795139295480797079111686031630518547228033735270956791789408851401494735711813402228574221<236>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3737282455 Step 1 took 19683ms Step 2 took 6192ms ********** Factor found in step 2: 638885475338886166514086188203634353 Found probable prime factor of 36 digits: 638885475338886166514086188203634353 Probable prime cofactor 25033678703872629125757647694406805424396077700827398905204761580856009034328610930914160381488049070590435234741455558502682903621078497689934906795139295480797079111686031630518547228033735270956791789408851401494735711813402228574221 has 236 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000 / 2078		Dmitry Domanov	February 6, 2022 16:37:43 UTC 2022 年 2 月 7 日 (月) 1 時 37 分 43 秒 (日本時間)

2×10²⁷⁸+2249

c258

name 名前	Ignacio Santos
date 日付	July 29, 2023 10:49:11 UTC 2023 年 7 月 29 日 (土) 19 時 49 分 11 秒 (日本時間)
composite number 合成数	460869411102107247245923273345140458981974518258238479690036170159631391307861810146734757570514076187456671900254099920444068684748201076934755472149399779721050221307670991155536392017022136208778382150813912617444712593233816674519737151587446764550801429<258>
prime factors 素因数	165798094588662979697702257987960395775751<42> 2779702699512330783954898400966312665703929308882849934939454494101882776691526445915263366399192295329915095952466138418424566808864894391948073587984425782100844138937489606912393844548569495437658723537864575442179<217>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3289493100 Step 1 took 12438ms Step 2 took 5156ms ********** Factor found in step 2: 165798094588662979697702257987960395775751 Found prime factor of 42 digits: 165798094588662979697702257987960395775751 Prime cofactor 2779702699512330783954898400966312665703929308882849934939454494101882776691526445915263366399192295329915095952466138418424566808864894391948073587984425782100844138937489606912393844548569495437658723537864575442179 has 217 digits
software ソフトウェア	GMP-ECM

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000 / 2078		Dmitry Domanov	February 6, 2022 16:37:34 UTC 2022 年 2 月 7 日 (月) 1 時 37 分 34 秒 (日本時間)

2×10²⁷⁹+2249

c257

composite cofactor 合成数の残り

10505949605519891536358933129992203277638858806397269312867890033734007099439623762202556528355033326366095354569947530108943184268496804797861641156150893939473330396765270647600660182272494238616260457210289734725258550202213122066169116354351451531458251<257>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	3350	1000	Dmitry Domanov	February 6, 2022 16:37:25 UTC 2022 年 2 月 7 日 (月) 1 時 37 分 25 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	July 29, 2023 10:58:43 UTC 2023 年 7 月 29 日 (土) 19 時 58 分 43 秒 (日本時間)

2×10²⁸²+2249

c280

composite cofactor 合成数の残り

3472222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223<280>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	3350	1000	Dmitry Domanov	February 6, 2022 16:37:16 UTC 2022 年 2 月 7 日 (月) 1 時 37 分 16 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	July 29, 2023 11:13:15 UTC 2023 年 7 月 29 日 (土) 20 時 13 分 15 秒 (日本時間)

2×10²⁸³+2249

c217

composite cofactor 合成数の残り

1290283899100892586381222923190052224238311440371676052904585771403546471527602834386807133326313058662166363502584557911167804393789094660124337820368193925778116050162574065315217294069119971396746147370032405212041<217>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	3350	1000	Dmitry Domanov	February 7, 2022 21:24:38 UTC 2022 年 2 月 8 日 (火) 6 時 24 分 38 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	July 29, 2023 11:17:44 UTC 2023 年 7 月 29 日 (土) 20 時 17 分 44 秒 (日本時間)

2×10²⁸⁶+2249

c249

name 名前	Dmitry Domanov
date 日付	February 8, 2022 05:39:46 UTC 2022 年 2 月 8 日 (火) 14 時 39 分 46 秒 (日本時間)
composite number 合成数	532262956263836057377774201822581140688271353401446375756764834412581540760051910066427228891171273702588979725759778426934140126698328375044217396133402219936572213672719008021552535323789333968746546058424222515433973832556572155728744141266853663<249>
prime factors 素因数	363213607710915737516175474193146523<36> 48347334568122686702747749996421250251<38> 30310394915121563002940007957002011780454476841595759163568692462672364750126010561511561241835734410909779350073451896718991007002122662919724374162293093585839111861640863431<176>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2708433864 Step 1 took 13282ms Step 2 took 5540ms ******** Factor found in step 2: 48347334568122686702747749996421250251 Found probable prime factor of 38 digits: 48347334568122686702747749996421250251 Composite cofactor 11009147888263898497265772769792840467849344165431026284712514762016418476723147193904179574473991392132686503284305323364745614222085718463815691159368708816411138922550629414306574058305635239749681140415500413 has 212 digits Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1650588720 Step 1 took 11415ms Step 2 took 4285ms ******** Factor found in step 2: 363213607710915737516175474193146523 Found probable prime factor of 36 digits: 363213607710915737516175474193146523 Probable prime cofactor 30310394915121563002940007957002011780454476841595759163568692462672364750126010561511561241835734410909779350073451896718991007002122662919724374162293093585839111861640863431 has 176 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000 / 2078		Dmitry Domanov	February 7, 2022 21:24:23 UTC 2022 年 2 月 8 日 (火) 6 時 24 分 23 秒 (日本時間)

2×10²⁸⁸+2249

c260

composite cofactor 合成数の残り

18570443789322002378709663702157412520237271268727652093009730592576698388833152151392026661716806182023302630348490674526569469354560800324148495045426761659213539987226827014372132775588725563517275165860647528345685505501426539621215246963368925652181132863<260>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	3350	1000	Dmitry Domanov	February 6, 2022 16:37:06 UTC 2022 年 2 月 7 日 (月) 1 時 37 分 6 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	July 29, 2023 12:03:58 UTC 2023 年 7 月 29 日 (土) 21 時 3 分 58 秒 (日本時間)

2×10²⁸⁹+2249

c272

composite cofactor 合成数の残り

25462820007820957412796431656114766973052888285993304664144835283272489026080168918422331036407542959960421113027609762198788667313874562915956708459462374240714102629372743588905741721813127922666851561777439744154432593289009008119271595498184289221221497491696560491173<272>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	3350	1000	Dmitry Domanov	February 6, 2022 16:36:59 UTC 2022 年 2 月 7 日 (月) 1 時 36 分 59 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	July 29, 2023 12:04:20 UTC 2023 年 7 月 29 日 (土) 21 時 4 分 20 秒 (日本時間)

2×10²⁹⁰+2249

c267

name 名前	Dmitry Domanov
date 日付	February 10, 2022 05:29:16 UTC 2022 年 2 月 10 日 (木) 14 時 29 分 16 秒 (日本時間)
composite number 合成数	410643593022345005977153831782185720755722917851078106956844024763190184033436167886278275448603088029885119786255320856198187406979077005906700576822854178370146511261104899142097271598750202969670979337054541430230704333845424548041216556992056971763327165801269421<267>
prime factors 素因数	559213180677996391188484964423265196523<39> 734323880786350680862859522645022166637840696067650322669480954253606294086037766621203704287134702825391335986092935391570204335465069036568927617846189309259672485807308584226715713245670382496002129934429113154966624246557127<228>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=967745596 Step 1 took 20405ms ********** Factor found in step 1: 559213180677996391188484964423265196523 Found probable prime factor of 39 digits: 559213180677996391188484964423265196523 Probable prime cofactor 734323880786350680862859522645022166637840696067650322669480954253606294086037766621203704287134702825391335986092935391570204335465069036568927617846189309259672485807308584226715713245670382496002129934429113154966624246557127 has 228 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000 / 2078		Dmitry Domanov	February 6, 2022 16:36:50 UTC 2022 年 2 月 7 日 (月) 1 時 36 分 50 秒 (日本時間)

2×10²⁹¹+2249

c271

composite cofactor 合成数の残り

9182002747585420467847021672528315932236484326013860870895877499857592524568284171848313684899476018487423717201898734797438116807192550241293121978539340575724421585075489593472845900085271510149873314178090298464432277681197560667757900477881488520525980133904715071719<271>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	3350	1000	Dmitry Domanov	February 6, 2022 16:36:41 UTC 2022 年 2 月 7 日 (月) 1 時 36 分 41 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	July 29, 2023 12:12:09 UTC 2023 年 7 月 29 日 (土) 21 時 12 分 9 秒 (日本時間)

2×10²⁹²+2249

c285

composite cofactor 合成数の残り

172710426238278488792060515522660436932508081466264541527047558095642336327164945918147969450427133609338411296201420702149401979786524386435848162941371856877494974817438171049090106207240352671927011744861657566899729024249649190582224808733565566680870372120502689584925723463250261<285>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	3350	1000	Dmitry Domanov	February 6, 2022 16:36:33 UTC 2022 年 2 月 7 日 (月) 1 時 36 分 33 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	July 29, 2023 12:26:39 UTC 2023 年 7 月 29 日 (土) 21 時 26 分 39 秒 (日本時間)

2×10²⁹³+2249

c268

composite cofactor 合成数の残り

5311921771934320649452309035834485507595356621356370987159197617035204803724966350647844345179691425953903783905021439524608096225804344209884694906665643116220278898471590247759789280245489950672963390760626949857471720471141759993510465840736672066250221650618510839<268>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	3350	1000	Dmitry Domanov	February 6, 2022 16:36:14 UTC 2022 年 2 月 7 日 (月) 1 時 36 分 14 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	July 29, 2023 13:24:13 UTC 2023 年 7 月 29 日 (土) 22 時 24 分 13 秒 (日本時間)

2×10²⁹⁵+2249

c237

composite cofactor 合成数の残り

160317562900310497234870688368599005400730419823542207466429642067061424160926171451433774795345167584633619339305502710528485782971219899651505465423535312595707784874224036800316912676910109930048485984697246009417283671407766016740857<237>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	3350	1000	Dmitry Domanov	February 7, 2022 21:23:59 UTC 2022 年 2 月 8 日 (火) 6 時 23 分 59 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	July 29, 2023 13:24:34 UTC 2023 年 7 月 29 日 (土) 22 時 24 分 34 秒 (日本時間)

2×10²⁹⁶+2249

c280

composite cofactor 合成数の残り

3014924605431906250214933885306636600761335442780629679983571267035648249451070628916383318711405473988054931371877031827839365953344708030789890247479232485376159038511964011476130638499740157106725451344714754892879177217013519317260808284930204497294782561433195470541353074393<280>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	3350	1000	Dmitry Domanov	February 6, 2022 16:36:05 UTC 2022 年 2 月 7 日 (月) 1 時 36 分 5 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	July 29, 2023 13:24:52 UTC 2023 年 7 月 29 日 (土) 22 時 24 分 52 秒 (日本時間)

2×10²⁹⁹+2249

c287

composite cofactor 合成数の残り

22037752425040061320664872241257989543695054785299257652310357409380307750821879043618005686536714600632676810468130288922268667844680526708581030756907092839009568978341353608347986101107509745262191067809441521662423665943706153409262025146340110199626137718985392465781066220362945103<287>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	3350	1000	Dmitry Domanov	February 6, 2022 16:35:57 UTC 2022 年 2 月 7 日 (月) 1 時 35 分 57 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	July 29, 2023 13:31:20 UTC 2023 年 7 月 29 日 (土) 22 時 31 分 20 秒 (日本時間)

2×10³⁰⁰+2249

c172

composite cofactor 合成数の残り	1813725735492172983893726434300031626184424599453112696227204788843358228026349848067645321714846518436434951126981873459847212663506620980559946548581121792041847651640841<172>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	3350	1000	Dmitry Domanov	December 29, 2021 00:15:59 UTC 2021 年 12 月 29 日 (水) 9 時 15 分 59 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	December 31, 2021 12:53:36 UTC 2021 年 12 月 31 日 (金) 21 時 53 分 36 秒 (日本時間)
45	11e6	2000		Dmitry Domanov	December 31, 2021 17:36:21 UTC 2022 年 1 月 1 日 (土) 2 時 36 分 21 秒 (日本時間)
50	43e6	2292 / 6972	500	Dmitry Domanov	January 2, 2022 20:16:07 UTC 2022 年 1 月 3 日 (月) 5 時 16 分 7 秒 (日本時間)
50	43e6	2292 / 6972	1792	Dmitry Domanov	May 29, 2024 17:00:09 UTC 2024 年 5 月 30 日 (木) 2 時 0 分 9 秒 (日本時間)