Table of contents 目次

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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

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) = 191520*x^5+4397850124*x^4+67907546733871*x^3-117913929161531476*x^2-193923167004335276079*x+435580316735581684588680
# g(x) = 8147503180527959*x-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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

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) = 33480*x^4+181464971826*x^3-2829869815233190717*x^2-15477062459925290803470605*x+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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 2, 2022 22:19:33 UTC 2022 年 1 月 3 日 (月) 7 時 19 分 33 秒 (日本時間)

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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 5, 2022 13:24:42 UTC 2022 年 1 月 5 日 (水) 22 時 24 分 42 秒 (日本時間)

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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 5, 2022 19:25:51 UTC 2022 年 1 月 6 日 (木) 4 時 25 分 51 秒 (日本時間)

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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 5, 2022 19:50:48 UTC 2022 年 1 月 6 日 (木) 4 時 50 分 48 秒 (日本時間)

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=7676505755410973666032985373332856204128891*1863315720652064027558298304847510138116713631913171143223074297937

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) = 99900*x^5-673793256*x^4+275901540833*x^3-70093954204033509*x^2-341529998068284603335*x+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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 6, 2022 15:37:05 UTC 2022 年 1 月 7 日 (金) 0 時 37 分 5 秒 (日本時間)

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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 6, 2022 11:20:53 UTC 2022 年 1 月 6 日 (木) 20 時 20 分 53 秒 (日本時間)

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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

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/(2^6*1327*611323*6837632469465952308539529337602083935241) )
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/(2^6*1327*611323*6837632469465952308539529337602083935241) )

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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 10, 2022 19:02:56 UTC 2022 年 1 月 11 日 (火) 4 時 2 分 56 秒 (日本時間)
4511e64480Ignacio SantosFebruary 5, 2022 14:53:38 UTC 2022 年 2 月 5 日 (土) 23 時 53 分 38 秒 (日本時間)

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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 8, 2022 12:05:31 UTC 2022 年 1 月 8 日 (土) 21 時 5 分 31 秒 (日本時間)
4511e64480Ignacio SantosFebruary 5, 2022 14:53:51 UTC 2022 年 2 月 5 日 (土) 23 時 53 分 51 秒 (日本時間)

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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 10, 2022 20:51:30 UTC 2022 年 1 月 11 日 (火) 5 時 51 分 30 秒 (日本時間)

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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 12, 2022 14:43:58 UTC 2022 年 1 月 12 日 (水) 23 時 43 分 58 秒 (日本時間)
4511e64480Ignacio SantosJanuary 31, 2022 18:48:13 UTC 2022 年 2 月 1 日 (火) 3 時 48 分 13 秒 (日本時間)

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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 12, 2022 19:51:51 UTC 2022 年 1 月 13 日 (木) 4 時 51 分 51 秒 (日本時間)
4511e64480Ignacio SantosJanuary 31, 2022 17:54:45 UTC 2022 年 2 月 1 日 (火) 2 時 54 分 45 秒 (日本時間)

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=2460814982948028330230883750328856889849042842162212922533819303*8406828919375499058760332773441451457233153938503606509204636599543

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) = 283500*x^5-77365481580*x^4+3330718621462443*x^3+5636473180115387423767*x^2-60314306656764623923899807*x+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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 13, 2022 19:02:30 UTC 2022 年 1 月 14 日 (金) 4 時 2 分 30 秒 (日本時間)

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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62100ebinaDecember 29, 2021 05:01:38 UTC 2021 年 12 月 29 日 (水) 14 時 1 分 38 秒 (日本時間)
4511e64480Ignacio SantosJanuary 30, 2022 11:02:06 UTC 2022 年 1 月 30 日 (日) 20 時 2 分 6 秒 (日本時間)

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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e623577ebinaDecember 28, 2021 22:52:15 UTC 2021 年 12 月 29 日 (水) 7 時 52 分 15 秒 (日本時間)
2350Ignacio SantosJanuary 16, 2022 18:45:41 UTC 2022 年 1 月 17 日 (月) 3 時 45 分 41 秒 (日本時間)
4511e64480Ignacio SantosJanuary 29, 2022 22:03:05 UTC 2022 年 1 月 30 日 (日) 7 時 3 分 5 秒 (日本時間)

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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosFebruary 11, 2022 13:48:39 UTC 2022 年 2 月 11 日 (金) 22 時 48 分 39 秒 (日本時間)
4511e64480Ignacio SantosFebruary 11, 2022 19:57:47 UTC 2022 年 2 月 12 日 (土) 4 時 57 分 47 秒 (日本時間)

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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 11, 2022 19:12:50 UTC 2022 年 2 月 12 日 (土) 4 時 12 分 50 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 17, 2022 07:56:23 UTC 2022 年 2 月 17 日 (木) 16 時 56 分 23 秒 (日本時間)

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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 11, 2022 19:12:40 UTC 2022 年 2 月 12 日 (土) 4 時 12 分 40 秒 (日本時間)
4511e656801200Dmitry DomanovFebruary 17, 2022 07:57:07 UTC 2022 年 2 月 17 日 (木) 16 時 57 分 7 秒 (日本時間)
4480Ignacio SantosJanuary 24, 2024 13:48:34 UTC 2024 年 1 月 24 日 (水) 22 時 48 分 34 秒 (日本時間)

10209+2249

c205

composite cofactor 合成数の残り
1428898033836305441243712848651120256058527663465935070873342478280749885688157293095564700502972107910379515317786922725194330132601737540009144947416552354823959762231367169638774577046181984453589391861<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovFebruary 11, 2022 19:12:29 UTC 2022 年 2 月 12 日 (土) 4 時 12 分 29 秒 (日本時間)
2350Ignacio SantosJuly 28, 2023 14:37:57 UTC 2023 年 7 月 28 日 (金) 23 時 37 分 57 秒 (日本時間)

10210+2249

c156

composite cofactor 合成数の残り
515114415200926750153021310108233145568698466074475004951881671500232344963495423354466642301061347323596138020446789000021896953455654426619826410141242659<156>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 11, 2022 19:12:19 UTC 2022 年 2 月 12 日 (土) 4 時 12 分 19 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 17, 2022 07:56:49 UTC 2022 年 2 月 17 日 (木) 16 時 56 分 49 秒 (日本時間)

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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosDecember 30, 2021 21:52:49 UTC 2021 年 12 月 31 日 (金) 6 時 52 分 49 秒 (日本時間)

10213+2249

c188

composite cofactor 合成数の残り
19741999892683306531686941377422286022572681909703846751694175661998851810225964336180244276205151294545331832026705714408937048305122714910113148406052884131247618292916874842246111375639<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 11, 2022 19:11:33 UTC 2022 年 2 月 12 日 (土) 4 時 11 分 33 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 17, 2022 07:56:50 UTC 2022 年 2 月 17 日 (木) 16 時 56 分 50 秒 (日本時間)

10214+2249

c204

composite cofactor 合成数の残り
119532216176213877472806800454229918530211306531060936168598179715293179671177185582589577395945825938702281446920134122888412289271544905388860497788154260450653751774135880925407462747699721745027621319<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovFebruary 11, 2022 19:11:15 UTC 2022 年 2 月 12 日 (土) 4 時 11 分 15 秒 (日本時間)
2350Ignacio SantosJuly 28, 2023 14:44:27 UTC 2023 年 7 月 28 日 (金) 23 時 44 分 27 秒 (日本時間)

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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovFebruary 11, 2022 12:19:16 UTC 2022 年 2 月 11 日 (金) 21 時 19 分 16 秒 (日本時間)

10216+2249

c179

composite cofactor 合成数の残り
26753835683518738138752176887717986961923146004935521099007140589267749603213847124529357157816618783982139896452991804543230353192181196767823451122935012909540181925438799835919<179>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 11, 2022 16:57:46 UTC 2022 年 2 月 12 日 (土) 1 時 57 分 46 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 17, 2022 07:56:55 UTC 2022 年 2 月 17 日 (木) 16 時 56 分 55 秒 (日本時間)

10217+2249

c189

composite cofactor 合成数の残り
200356823734247494205048952645963702225626363420739614448106866675031327187447097269525509465674621693512889355389748152546086744110802712888153141856380636177856206356374390695875966518999<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 11, 2022 16:55:54 UTC 2022 年 2 月 12 日 (土) 1 時 55 分 54 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 17, 2022 07:57:02 UTC 2022 年 2 月 17 日 (木) 16 時 57 分 2 秒 (日本時間)

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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 11, 2022 14:02:39 UTC 2022 年 2 月 11 日 (金) 23 時 2 分 39 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 17, 2022 07:58:46 UTC 2022 年 2 月 17 日 (木) 16 時 58 分 46 秒 (日本時間)

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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 11, 2022 14:02:05 UTC 2022 年 2 月 11 日 (金) 23 時 2 分 5 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 17, 2022 07:57:40 UTC 2022 年 2 月 17 日 (木) 16 時 57 分 40 秒 (日本時間)

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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovFebruary 11, 2022 14:02:16 UTC 2022 年 2 月 11 日 (金) 23 時 2 分 16 秒 (日本時間)

10222+2249

c198

composite cofactor 合成数の残り
172688272672837495934794864556699095420094540061266729690223260533135151175706112297169900261330606256251939286133344808261060392120033957903526338110661518319613960740965823709379553949160725905381<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 11, 2022 12:11:21 UTC 2022 年 2 月 11 日 (金) 21 時 11 分 21 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 18, 2022 09:45:22 UTC 2022 年 2 月 18 日 (金) 18 時 45 分 22 秒 (日本時間)

10226+2249

c166

composite cofactor 合成数の残り
1275739652643977157425528791113054938939503857688739923819039470741054025362933948853662404677889641304567648939698738066119828045292728463615247867324276274332546201<166>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 11, 2022 09:45:53 UTC 2022 年 2 月 11 日 (金) 18 時 45 分 53 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 18, 2022 09:46:07 UTC 2022 年 2 月 18 日 (金) 18 時 46 分 7 秒 (日本時間)

10228+2249

c165

composite cofactor 合成数の残り
942224562438360369331980764984001176536196968019100631123689976460494870402953333823827484536966054977900993729209362451189556190101599382066186759974250086318341779<165>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 11, 2022 09:44:05 UTC 2022 年 2 月 11 日 (金) 18 時 44 分 5 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 18, 2022 09:46:19 UTC 2022 年 2 月 18 日 (金) 18 時 46 分 19 秒 (日本時間)

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=46747147055373849401965758595061381193635771570216933*247308430543719951904042183191467554659329734792186114713263024788040057772059

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) = 96660*x^5+19524012330*x^4-4114014281072288*x^3-110332203867300365019*x^2+4328654941767385008206594*x-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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosDecember 30, 2021 13:27:03 UTC 2021 年 12 月 30 日 (木) 22 時 27 分 3 秒 (日本時間)

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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 11, 2022 09:46:24 UTC 2022 年 2 月 11 日 (金) 18 時 46 分 24 秒 (日本時間)
4511e656801200Dmitry DomanovFebruary 18, 2022 09:46:28 UTC 2022 年 2 月 18 日 (金) 18 時 46 分 28 秒 (日本時間)
4480Ignacio SantosFebruary 21, 2022 21:26:22 UTC 2022 年 2 月 22 日 (火) 6 時 26 分 22 秒 (日本時間)

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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 11, 2022 09:44:32 UTC 2022 年 2 月 11 日 (金) 18 時 44 分 32 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 18, 2022 09:46:39 UTC 2022 年 2 月 18 日 (金) 18 時 46 分 39 秒 (日本時間)

10233+2249

c227

composite cofactor 合成数の残り
33364295399464035958703009726359394851755762681101395428290787183839936794678795255330279833018374384762392833883176921516500645932758933623736160490268302317884329991565506123015491709639879141176344981476143194217567235728089<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovFebruary 11, 2022 09:45:02 UTC 2022 年 2 月 11 日 (金) 18 時 45 分 2 秒 (日本時間)
2350Ignacio SantosJuly 28, 2023 14:56:04 UTC 2023 年 7 月 28 日 (金) 23 時 56 分 4 秒 (日本時間)

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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 11, 2022 05:49:36 UTC 2022 年 2 月 11 日 (金) 14 時 49 分 36 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 18, 2022 09:46:58 UTC 2022 年 2 月 18 日 (金) 18 時 46 分 58 秒 (日本時間)

10236+2249

c222

composite cofactor 合成数の残り
138852584931195734072644123081426851506230915697577740381187700830250271838729494446804472427881080496484559430261617252473500213646215425124086091921754518482611616312491844844285108977800495846232341243411035524201154411<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovFebruary 11, 2022 05:37:05 UTC 2022 年 2 月 11 日 (金) 14 時 37 分 5 秒 (日本時間)
2350Ignacio SantosJuly 28, 2023 15:09:15 UTC 2023 年 7 月 29 日 (土) 0 時 9 分 15 秒 (日本時間)

10238+2249

c187

composite cofactor 合成数の残り
7584688042866900151959892801422829279154335809322707819835167442299097758547870354529444209115420256218968194642845633525384528107238768322043580772357784123700172718488017162261581480183<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 11, 2022 05:37:13 UTC 2022 年 2 月 11 日 (金) 14 時 37 分 13 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 18, 2022 09:47:18 UTC 2022 年 2 月 18 日 (金) 18 時 47 分 18 秒 (日本時間)

10239+2249

c220

composite cofactor 合成数の残り
5684561694486619707045476156636366468954468343471079758558895387907788038173751396703427922580637941681524620585049071359708994564892807601440983531584340687569863169054365979045797566698433508720317692847671060790589299<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovFebruary 11, 2022 05:36:52 UTC 2022 年 2 月 11 日 (金) 14 時 36 分 52 秒 (日本時間)
2350Ignacio SantosJuly 28, 2023 15:37:48 UTC 2023 年 7 月 29 日 (土) 0 時 37 分 48 秒 (日本時間)

10241+2249

c213

composite cofactor 合成数の残り
388438055760570650437608724176155119620601017998914569175053450186283537355227494611074006990307224934151474941810955968275237411392331065616780784337308035141035549247422158392161076491547484885232476034478195687<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovFebruary 11, 2022 05:34:29 UTC 2022 年 2 月 11 日 (金) 14 時 34 分 29 秒 (日本時間)
2350Ignacio SantosJuly 28, 2023 15:38:10 UTC 2023 年 7 月 29 日 (土) 0 時 38 分 10 秒 (日本時間)

10242+2249

c225

composite cofactor 合成数の残り
549446979708441255623905823184483104510888086881017504692150681341790535023429171086469418736987267341850968905528759149594611554882318339605357483509545236117280081039459012822926383040125844435886664753275961882473567823203<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovFebruary 11, 2022 05:34:19 UTC 2022 年 2 月 11 日 (金) 14 時 34 分 19 秒 (日本時間)
2350Ignacio SantosJuly 28, 2023 15:51:38 UTC 2023 年 7 月 29 日 (土) 0 時 51 分 38 秒 (日本時間)

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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovFebruary 10, 2022 05:31:43 UTC 2022 年 2 月 10 日 (木) 14 時 31 分 43 秒 (日本時間)

10244+2249

c242

composite cofactor 合成数の残り
34722222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovFebruary 10, 2022 05:31:34 UTC 2022 年 2 月 10 日 (木) 14 時 31 分 34 秒 (日本時間)
2350Ignacio SantosJuly 28, 2023 16:05:59 UTC 2023 年 7 月 29 日 (土) 1 時 5 分 59 秒 (日本時間)

10246+2249

c212

composite cofactor 合成数の残り
34027051143228906374294335589220416930644210256291864741595091976019463056322353564411745602262958082953714685090783780098052087402082413927503096513343854187145894778553908342312591883593207449648779629672244233<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovFebruary 10, 2022 05:31:25 UTC 2022 年 2 月 10 日 (木) 14 時 31 分 25 秒 (日本時間)
2350Ignacio SantosJuly 28, 2023 16:24:02 UTC 2023 年 7 月 29 日 (土) 1 時 24 分 2 秒 (日本時間)

10247+2249

c199

composite cofactor 合成数の残り
1789676095003563854368493276882311617024189024345347737047259413712763805359682640584539039714299623245218308913994574120702409148400694903395523140673438798673847301968380960281946621850306323472161<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovFebruary 10, 2022 05:31:16 UTC 2022 年 2 月 10 日 (木) 14 時 31 分 16 秒 (日本時間)
2350Ignacio SantosJuly 28, 2023 16:29:35 UTC 2023 年 7 月 29 日 (土) 1 時 29 分 35 秒 (日本時間)

10248+2249

c202

composite cofactor 合成数の残り
8422063750472776396979108133299036177004043387099700059282158346301031437599576350584177977127770933905537257274950658869782738329640867544961982984814248899918455060208767369956587702957920543112097723<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovFebruary 10, 2022 05:31:07 UTC 2022 年 2 月 10 日 (木) 14 時 31 分 7 秒 (日本時間)
2350Ignacio SantosJuly 28, 2023 16:40:53 UTC 2023 年 7 月 29 日 (土) 1 時 40 分 53 秒 (日本時間)

10249+2249

c225

composite cofactor 合成数の残り
323782506299385225736446721142962345693263924978731795770468501125411603990895810623312438744375838695257409903339384383478703816332085470564534604866026211874721354486987303370014549142425255939646565594343307400591446402503<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovFebruary 10, 2022 05:30:57 UTC 2022 年 2 月 10 日 (木) 14 時 30 分 57 秒 (日本時間)
2350Ignacio SantosJuly 29, 2023 06:47:40 UTC 2023 年 7 月 29 日 (土) 15 時 47 分 40 秒 (日本時間)

10250+2249

c204

composite cofactor 合成数の残り
134941608578827294017737240121428859644211736187532212627184311617920018397927523946631013246265570071299759337239006111965660283979994784646665175577692280049058014526500291985114403960066264527080295083<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovFebruary 10, 2022 05:30:48 UTC 2022 年 2 月 10 日 (木) 14 時 30 分 48 秒 (日本時間)
2350Ignacio SantosJuly 29, 2023 07:11:15 UTC 2023 年 7 月 29 日 (土) 16 時 11 分 15 秒 (日本時間)

10252+2249

c217

composite cofactor 合成数の残り
3698201597858730616741261482877918884752610552178368948807881106806109006611288232928191576799968822227461927735346600898207109654980985269115829617661055721824714883931832813042522406469888843186689820284765311053699<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovFebruary 10, 2022 05:30:40 UTC 2022 年 2 月 10 日 (木) 14 時 30 分 40 秒 (日本時間)
2350Ignacio SantosJuly 29, 2023 07:11:36 UTC 2023 年 7 月 29 日 (土) 16 時 11 分 36 秒 (日本時間)

10253+2249

c242

composite cofactor 合成数の残り
68544296478409023787275521599268208193501679884605130717644068491020122376275868537157036092881941903164652507429887531204481151575625670369662722709223087790605139873407344016618429347331300846448384614952731481364225038305749778122715489199<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovFebruary 10, 2022 05:30:32 UTC 2022 年 2 月 10 日 (木) 14 時 30 分 32 秒 (日本時間)
2350Ignacio SantosJuly 29, 2023 07:17:14 UTC 2023 年 7 月 29 日 (土) 16 時 17 分 14 秒 (日本時間)

10254+2249

c211

composite cofactor 合成数の残り
6892701799417332848500083939737173905015452303837481773281747312588294396261354983818607191947285018766585821437152325859188944536076943773176774164679490308262849830507558920153475511409898172336499806953287683<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovFebruary 10, 2022 05:29:47 UTC 2022 年 2 月 10 日 (木) 14 時 29 分 47 秒 (日本時間)
2350Ignacio SantosJuly 29, 2023 07:26:02 UTC 2023 年 7 月 29 日 (土) 16 時 26 分 2 秒 (日本時間)

10257+2249

c225

composite cofactor 合成数の残り
104325948518762753700578073530402622930055983413155502596434461323984838589046406244750983266239323720844314299894791631674565168341579917449699702999094678145703321573272828771213979186358833529302727153103362799824228863777<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovFebruary 9, 2022 10:11:59 UTC 2022 年 2 月 9 日 (水) 19 時 11 分 59 秒 (日本時間)
2350Ignacio SantosJuly 29, 2023 07:55:12 UTC 2023 年 7 月 29 日 (土) 16 時 55 分 12 秒 (日本時間)

10258+2249

c212

composite cofactor 合成数の残り
84245546727502233811714371431365059959170475224570079711517016249531853584155328085628533851344840784682941777821950682152774902048050475821333301440830982566564238912563610395907669024996279453475800032508443203<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovFebruary 9, 2022 10:11:50 UTC 2022 年 2 月 9 日 (水) 19 時 11 分 50 秒 (日本時間)
2350Ignacio SantosJuly 29, 2023 07:55:32 UTC 2023 年 7 月 29 日 (土) 16 時 55 分 32 秒 (日本時間)

10259+2249

c239

composite cofactor 合成数の残り
82320069855887170620393536733834611389581014979719128194775795127790553657499332091382685038453412619602142117557239490759300633989222466932313872729343564072371293706751371567326597915543365366632359449763451219670319021133644296717080457<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovFebruary 9, 2022 10:11:41 UTC 2022 年 2 月 9 日 (水) 19 時 11 分 41 秒 (日本時間)
2350Ignacio SantosJuly 29, 2023 08:09:49 UTC 2023 年 7 月 29 日 (土) 17 時 9 分 49 秒 (日本時間)

10260+2249

c248

composite cofactor 合成数の残り
77001968693514302631779808381688050784460413146223362215941647446457211520126765546319880046537193659669695709667666786642608626926907123918573426628966898030026974168359820882392658531021914868684305461015218062169229081987892761850649546562359517<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovFebruary 9, 2022 10:11:15 UTC 2022 年 2 月 9 日 (水) 19 時 11 分 15 秒 (日本時間)
2350Ignacio SantosJuly 29, 2023 08:33:43 UTC 2023 年 7 月 29 日 (土) 17 時 33 分 43 秒 (日本時間)

10261+2249

c217

composite cofactor 合成数の残り
5028928226960959445342957120731298997139942226816437521855203361933378729959865767152256604275270146833454419789121672685560908988267237315951646017384350356733733570086418719052306008263080827796612405580628498304123<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovFebruary 9, 2022 10:11:34 UTC 2022 年 2 月 9 日 (水) 19 時 11 分 34 秒 (日本時間)
2350Ignacio SantosJuly 29, 2023 08:34:03 UTC 2023 年 7 月 29 日 (土) 17 時 34 分 3 秒 (日本時間)
4511e64480iveliveNovember 26, 2023 01:45:57 UTC 2023 年 11 月 26 日 (日) 10 時 45 分 57 秒 (日本時間)

10262+2249

c251

composite cofactor 合成数の残り
48010383293012085623674237530936867412645180958230181930191557786695317014225499768336688153734449939808168763061100908075041922739667240758544962492196855119648760239233401651371319802150510186593703568020471243967606915363804401472321473165804506881<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovFebruary 6, 2022 16:38:02 UTC 2022 年 2 月 7 日 (月) 1 時 38 分 2 秒 (日本時間)
2350Ignacio SantosJuly 29, 2023 08:49:08 UTC 2023 年 7 月 29 日 (土) 17 時 49 分 8 秒 (日本時間)

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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62952602Marlon TrifunovicFebruary 19, 2022 16:21:02 UTC 2022 年 2 月 20 日 (日) 1 時 21 分 2 秒 (日本時間)
2350Ignacio SantosJuly 29, 2023 09:03:02 UTC 2023 年 7 月 29 日 (土) 18 時 3 分 2 秒 (日本時間)

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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovFebruary 8, 2022 14:52:25 UTC 2022 年 2 月 8 日 (火) 23 時 52 分 25 秒 (日本時間)

10265+2249

c203

composite cofactor 合成数の残り
74651195382106062773171602614266603521467920019711058274731477971908081528184518909581819883404393125058114566898195738826817186677049837811828015934086417074257338066772744819433798557966763324932900467<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovFebruary 8, 2022 14:52:15 UTC 2022 年 2 月 8 日 (火) 23 時 52 分 15 秒 (日本時間)
2350Ignacio SantosJuly 29, 2023 09:25:14 UTC 2023 年 7 月 29 日 (土) 18 時 25 分 14 秒 (日本時間)

10266+2249

c194

composite cofactor 合成数の残り
23190714076068807860078708752588854092494063848853412264406357160514245868285148087273050682203527951746139989534673025830756307924230360790879319662304526094998432721317687789525259031672291491<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovFebruary 8, 2022 14:52:05 UTC 2022 年 2 月 8 日 (火) 23 時 52 分 5 秒 (日本時間)
2350Ignacio SantosJuly 29, 2023 09:25:27 UTC 2023 年 7 月 29 日 (土) 18 時 25 分 27 秒 (日本時間)
4511e60--
5043e60 / 5569--
5511e7768 / 17742iveliveNovember 9, 2023 12:12:50 UTC 2023 年 11 月 9 日 (木) 21 時 12 分 50 秒 (日本時間)

10268+2249

c219

composite cofactor 合成数の残り
191161526214732640221306193518183661724274529990658209449225921832903991962065122971604425290150791655731614569175600085464239653277388774025469982257259944359001882462570822900682807434610276147520638539411293225051071<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e610000Dmitry DomanovFebruary 8, 2022 14:51:51 UTC 2022 年 2 月 8 日 (火) 23 時 51 分 51 秒 (日本時間)

10270+2249

c222

composite cofactor 合成数の残り
343836411195234399461847765974207983302658937795853147721357744606029779916490999352270033436377568190258400387118466039822214554507851306200267901594533515136594119155572297695191019762493801904718596687332790109315076237<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovFebruary 8, 2022 14:51:43 UTC 2022 年 2 月 8 日 (火) 23 時 51 分 43 秒 (日本時間)
2350Ignacio SantosJuly 29, 2023 10:22:41 UTC 2023 年 7 月 29 日 (土) 19 時 22 分 41 秒 (日本時間)

10271+2249

c221

composite cofactor 合成数の残り
25035552878277643125469878035495955559237344921247572908854252538875230389255865043362728830577312636624213629121598420728051609995950209758256809765913093344834464390690441841182342990652107445874325131075344348900290001<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovFebruary 8, 2022 05:54:42 UTC 2022 年 2 月 8 日 (火) 14 時 54 分 42 秒 (日本時間)
2350Ignacio SantosJuly 29, 2023 10:22:59 UTC 2023 年 7 月 29 日 (土) 19 時 22 分 59 秒 (日本時間)

10272+2249

c254

composite cofactor 合成数の残り
33661367571185217249871073021178582901493471508156328505452189545444401196849922977797714850996430586897166155130298908420981289219166519791964448868357862095931209436568033904714163349005100139046659743611811112040670698578018733397374010891633288195611<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovFebruary 6, 2022 16:37:53 UTC 2022 年 2 月 7 日 (月) 1 時 37 分 53 秒 (日本時間)
2350Ignacio SantosJuly 29, 2023 10:23:17 UTC 2023 年 7 月 29 日 (土) 19 時 23 分 17 秒 (日本時間)

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=248251249424447901697300590525476313695669954892797*1317262654295585838476385429213716277814743825076185335441290121572112409779739421574803

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) = 30000*x^5-111039016190*x^4-55894492286780371*x^3+52011735605566344631378*x^2+17934960454458611915172384741*x-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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 1, 2022 15:26:23 UTC 2022 年 1 月 2 日 (日) 0 時 26 分 23 秒 (日本時間)

10275+2249

c234

composite cofactor 合成数の残り
829832137931217885207819633806015835336268953396992142298405363369266175769690534446509279384440829090406752790110194863471378208026497184149172650073726717335723972981521858470382103320277454540202575288312166069836483593183574824701<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovFebruary 7, 2022 21:24:53 UTC 2022 年 2 月 8 日 (火) 6 時 24 分 53 秒 (日本時間)
2350Ignacio SantosJuly 29, 2023 10:23:26 UTC 2023 年 7 月 29 日 (土) 19 時 23 分 26 秒 (日本時間)

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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovFebruary 6, 2022 16:37:43 UTC 2022 年 2 月 7 日 (月) 1 時 37 分 43 秒 (日本時間)

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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovFebruary 6, 2022 16:37:34 UTC 2022 年 2 月 7 日 (月) 1 時 37 分 34 秒 (日本時間)

10279+2249

c257

composite cofactor 合成数の残り
10505949605519891536358933129992203277638858806397269312867890033734007099439623762202556528355033326366095354569947530108943184268496804797861641156150893939473330396765270647600660182272494238616260457210289734725258550202213122066169116354351451531458251<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovFebruary 6, 2022 16:37:25 UTC 2022 年 2 月 7 日 (月) 1 時 37 分 25 秒 (日本時間)
2350Ignacio SantosJuly 29, 2023 10:58:43 UTC 2023 年 7 月 29 日 (土) 19 時 58 分 43 秒 (日本時間)

10282+2249

c280

composite cofactor 合成数の残り
3472222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223<280>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovFebruary 6, 2022 16:37:16 UTC 2022 年 2 月 7 日 (月) 1 時 37 分 16 秒 (日本時間)
2350Ignacio SantosJuly 29, 2023 11:13:15 UTC 2023 年 7 月 29 日 (土) 20 時 13 分 15 秒 (日本時間)

10283+2249

c217

composite cofactor 合成数の残り
1290283899100892586381222923190052224238311440371676052904585771403546471527602834386807133326313058662166363502584557911167804393789094660124337820368193925778116050162574065315217294069119971396746147370032405212041<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovFebruary 7, 2022 21:24:38 UTC 2022 年 2 月 8 日 (火) 6 時 24 分 38 秒 (日本時間)
2350Ignacio SantosJuly 29, 2023 11:17:44 UTC 2023 年 7 月 29 日 (土) 20 時 17 分 44 秒 (日本時間)

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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovFebruary 7, 2022 21:24:23 UTC 2022 年 2 月 8 日 (火) 6 時 24 分 23 秒 (日本時間)

10288+2249

c260

composite cofactor 合成数の残り
18570443789322002378709663702157412520237271268727652093009730592576698388833152151392026661716806182023302630348490674526569469354560800324148495045426761659213539987226827014372132775588725563517275165860647528345685505501426539621215246963368925652181132863<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovFebruary 6, 2022 16:37:06 UTC 2022 年 2 月 7 日 (月) 1 時 37 分 6 秒 (日本時間)
2350Ignacio SantosJuly 29, 2023 12:03:58 UTC 2023 年 7 月 29 日 (土) 21 時 3 分 58 秒 (日本時間)

10289+2249

c272

composite cofactor 合成数の残り
25462820007820957412796431656114766973052888285993304664144835283272489026080168918422331036407542959960421113027609762198788667313874562915956708459462374240714102629372743588905741721813127922666851561777439744154432593289009008119271595498184289221221497491696560491173<272>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovFebruary 6, 2022 16:36:59 UTC 2022 年 2 月 7 日 (月) 1 時 36 分 59 秒 (日本時間)
2350Ignacio SantosJuly 29, 2023 12:04:20 UTC 2023 年 7 月 29 日 (土) 21 時 4 分 20 秒 (日本時間)

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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovFebruary 6, 2022 16:36:50 UTC 2022 年 2 月 7 日 (月) 1 時 36 分 50 秒 (日本時間)

10291+2249

c271

composite cofactor 合成数の残り
9182002747585420467847021672528315932236484326013860870895877499857592524568284171848313684899476018487423717201898734797438116807192550241293121978539340575724421585075489593472845900085271510149873314178090298464432277681197560667757900477881488520525980133904715071719<271>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovFebruary 6, 2022 16:36:41 UTC 2022 年 2 月 7 日 (月) 1 時 36 分 41 秒 (日本時間)
2350Ignacio SantosJuly 29, 2023 12:12:09 UTC 2023 年 7 月 29 日 (土) 21 時 12 分 9 秒 (日本時間)

10292+2249

c285

composite cofactor 合成数の残り
172710426238278488792060515522660436932508081466264541527047558095642336327164945918147969450427133609338411296201420702149401979786524386435848162941371856877494974817438171049090106207240352671927011744861657566899729024249649190582224808733565566680870372120502689584925723463250261<285>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovFebruary 6, 2022 16:36:33 UTC 2022 年 2 月 7 日 (月) 1 時 36 分 33 秒 (日本時間)
2350Ignacio SantosJuly 29, 2023 12:26:39 UTC 2023 年 7 月 29 日 (土) 21 時 26 分 39 秒 (日本時間)

10293+2249

c268

composite cofactor 合成数の残り
5311921771934320649452309035834485507595356621356370987159197617035204803724966350647844345179691425953903783905021439524608096225804344209884694906665643116220278898471590247759789280245489950672963390760626949857471720471141759993510465840736672066250221650618510839<268>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovFebruary 6, 2022 16:36:14 UTC 2022 年 2 月 7 日 (月) 1 時 36 分 14 秒 (日本時間)
2350Ignacio SantosJuly 29, 2023 13:24:13 UTC 2023 年 7 月 29 日 (土) 22 時 24 分 13 秒 (日本時間)

10295+2249

c237

composite cofactor 合成数の残り
160317562900310497234870688368599005400730419823542207466429642067061424160926171451433774795345167584633619339305502710528485782971219899651505465423535312595707784874224036800316912676910109930048485984697246009417283671407766016740857<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovFebruary 7, 2022 21:23:59 UTC 2022 年 2 月 8 日 (火) 6 時 23 分 59 秒 (日本時間)
2350Ignacio SantosJuly 29, 2023 13:24:34 UTC 2023 年 7 月 29 日 (土) 22 時 24 分 34 秒 (日本時間)

10296+2249

c280

composite cofactor 合成数の残り
3014924605431906250214933885306636600761335442780629679983571267035648249451070628916383318711405473988054931371877031827839365953344708030789890247479232485376159038511964011476130638499740157106725451344714754892879177217013519317260808284930204497294782561433195470541353074393<280>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovFebruary 6, 2022 16:36:05 UTC 2022 年 2 月 7 日 (月) 1 時 36 分 5 秒 (日本時間)
2350Ignacio SantosJuly 29, 2023 13:24:52 UTC 2023 年 7 月 29 日 (土) 22 時 24 分 52 秒 (日本時間)

10299+2249

c287

composite cofactor 合成数の残り
22037752425040061320664872241257989543695054785299257652310357409380307750821879043618005686536714600632676810468130288922268667844680526708581030756907092839009568978341353608347986101107509745262191067809441521662423665943706153409262025146340110199626137718985392465781066220362945103<287>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovFebruary 6, 2022 16:35:57 UTC 2022 年 2 月 7 日 (月) 1 時 35 分 57 秒 (日本時間)
2350Ignacio SantosJuly 29, 2023 13:31:20 UTC 2023 年 7 月 29 日 (土) 22 時 31 分 20 秒 (日本時間)

10300+2249

c172

composite cofactor 合成数の残り
1813725735492172983893726434300031626184424599453112696227204788843358228026349848067645321714846518436434951126981873459847212663506620980559946548581121792041847651640841<172>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovDecember 29, 2021 00:15:59 UTC 2021 年 12 月 29 日 (水) 9 時 15 分 59 秒 (日本時間)
2350Ignacio SantosDecember 31, 2021 12:53:36 UTC 2021 年 12 月 31 日 (金) 21 時 53 分 36 秒 (日本時間)
4511e62000Dmitry DomanovDecember 31, 2021 17:36:21 UTC 2022 年 1 月 1 日 (土) 2 時 36 分 21 秒 (日本時間)
5043e62292 / 6972500Dmitry DomanovJanuary 2, 2022 20:16:07 UTC 2022 年 1 月 3 日 (月) 5 時 16 分 7 秒 (日本時間)
1792Dmitry DomanovMay 29, 2024 17:00:09 UTC 2024 年 5 月 30 日 (木) 2 時 0 分 9 秒 (日本時間)