Table of contents 目次

23×10110+229

c94

name 名前Eric Jeancolas
date 日付May 29, 2022 21:25:41 UTC 2022 年 5 月 30 日 (月) 6 時 25 分 41 秒 (日本時間)
composite number 合成数
3331665710357492498051051690011944129067456403932257620605374268738119266215652094690303853391<94>
prime factors 素因数
56477394896979049387123316220846968719658761211<47>
58991136479202262354211204281446103152838312381<47>
factorization results 素因数分解の結果
3331665710357492498051051690011944129067456403932257620605374268738119266215652094690303853391=56477394896979049387123316220846968719658761211*58991136479202262354211204281446103152838312381

cado polynomial
n: 3331665710357492498051051690011944129067456403932257620605374268738119266215652094690303853391
skew: 0.31
type: snfs
c0: 11
c4: 1150
Y0: 1000000000000000000000000000
Y1: -1
# f(x) = 1150*x^4+11
# g(x) = -x+1000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 500000
tasks.lim1 = 500000
tasks.lpb0 = 25
tasks.lpb1 = 25
tasks.sieve.mfb0 = 44
tasks.sieve.mfb1 = 44
tasks.sieve.lambda0 = 2.2
tasks.sieve.lambda1 = 2.2
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 58991136479202262354211204281446103152838312381 56477394896979049387123316220846968719658761211
Info:Square Root: Total cpu/real time for sqrt: 4.71/4.13659
Info:Quadratic Characters: Total cpu/real time for characters: 1.17/1.05043
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 24.71/44.2605
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 36.099999999999994s
Info:Square Root: Total cpu/real time for sqrt: 4.71/4.13659
Info:Linear Algebra: Total cpu/real time for bwc: 50.59/48.11
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 10.23, WCT time 11.03, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1216 iterations)
Info:Linear Algebra: Lingen CPU time 32.7, WCT time 28.49
Info:Linear Algebra: Mksol: CPU time 5.45,  WCT time 6.42, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (576 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 31.31/43.7084
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 3493523
Info:Lattice Sieving: Average J: 1891.09 for 11816 special-q, max bucket fill -bkmult 1.0,1s:1.360370
Info:Lattice Sieving: Total time: 2726.18s
Info:Generate Free Relations: Total cpu/real time for freerel: 18.63/14.3265
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 11.84/15.9537
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 15.9s
Info:Filtering - Merging: Merged matrix has 38103 rows and total weight 6481644 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 18.68/15.9341
Info:Filtering - Merging: Total cpu/real time for replay: 1.25/1.37784
Info:Generate Factor Base: Total cpu/real time for makefb: 0.27/0.373376
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2615.39/1772.98
Info:root: Cleaning up computation data in /tmp/cado.8794nuao
58991136479202262354211204281446103152838312381 56477394896979049387123316220846968719658761211
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10114+229

c113

name 名前Eric Jeancolas
date 日付May 30, 2022 18:14:47 UTC 2022 年 5 月 31 日 (火) 3 時 14 分 47 秒 (日本時間)
composite number 合成数
12405609492988133764832793959007551240560949298813376483279395900755124056094929881337648327939590075512405609493<113>
prime factors 素因数
5365980510799351025300484113545280578369249832851<49>
2311899841607906670546495693345491891374287019889546654547381943<64>
factorization results 素因数分解の結果
12405609492988133764832793959007551240560949298813376483279395900755124056094929881337648327939590075512405609493=5365980510799351025300484113545280578369249832851*2311899841607906670546495693345491891374287019889546654547381943

cado polynomial
n: 12405609492988133764832793959007551240560949298813376483279395900755124056094929881337648327939590075512405609493
skew: 0.31
type: snfs
c0: 11
c4: 1150
Y0: 10000000000000000000000000000
Y1: -1
# f(x) = 1150*x^4+11
# g(x) = -x+10000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 580000
tasks.lim1 = 580000
tasks.lpb0 = 25
tasks.lpb1 = 25
tasks.sieve.mfb0 = 45
tasks.sieve.mfb1 = 45
tasks.sieve.lambda0 = 2.2
tasks.sieve.lambda1 = 2.2
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 5365980510799351025300484113545280578369249832851 2311899841607906670546495693345491891374287019889546654547381943
Info:Square Root: Total cpu/real time for sqrt: 10.91/9.52733
Info:Quadratic Characters: Total cpu/real time for characters: 1.53/1.28257
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 24.4/40.6601
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 33.5s
Info:Square Root: Total cpu/real time for sqrt: 10.91/9.52733
Info:Linear Algebra: Total cpu/real time for bwc: 70.73/66.72
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 15.8, WCT time 17.19, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1472 iterations)
Info:Linear Algebra: Lingen CPU time 43.38, WCT time 37.37
Info:Linear Algebra: Mksol: CPU time 8.76,  WCT time 9.5, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (768 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 31.8/43.8469
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 3380549
Info:Lattice Sieving: Average J: 1889.58 for 13234 special-q, max bucket fill -bkmult 1.0,1s:1.346230
Info:Lattice Sieving: Total time: 2732.14s
Info:Generate Free Relations: Total cpu/real time for freerel: 18.53/13.8404
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 11.81/20.3392
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 20.1s
Info:Filtering - Merging: Merged matrix has 46524 rows and total weight 7921624 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 18.21/15.2952
Info:Filtering - Merging: Total cpu/real time for replay: 1.49/1.71575
Info:Generate Factor Base: Total cpu/real time for makefb: 0.31/0.416067
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2652.43/1796.19
Info:root: Cleaning up computation data in /tmp/cado.26pgyk7a
5365980510799351025300484113545280578369249832851 2311899841607906670546495693345491891374287019889546654547381943
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10117+229

c110

name 名前Eric Jeancolas
date 日付May 30, 2022 19:03:11 UTC 2022 年 5 月 31 日 (火) 4 時 3 分 11 秒 (日本時間)
composite number 合成数
11832261632409331753279866141603574706912641524433853315034812741274412094557562048876440896938975292744788779<110>
prime factors 素因数
6478168420425254609943297840035098132535910734213321<52>
1826482558728013376533941398101062242827259217150341270099<58>
factorization results 素因数分解の結果
11832261632409331753279866141603574706912641524433853315034812741274412094557562048876440896938975292744788779=6478168420425254609943297840035098132535910734213321*1826482558728013376533941398101062242827259217150341270099

cado polynomial
n: 11832261632409331753279866141603574706912641524433853315034812741274412094557562048876440896938975292744788779
skew: 0.56
type: snfs
c0: 11
c4: 115
Y0: 100000000000000000000000000000
Y1: -1
# f(x) = 115*x^4+11
# g(x) = -x+100000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 650000
tasks.lim1 = 650000
tasks.lpb0 = 25
tasks.lpb1 = 25
tasks.sieve.mfb0 = 45
tasks.sieve.mfb1 = 45
tasks.sieve.lambda0 = 2.2
tasks.sieve.lambda1 = 2.2
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 6478168420425254609943297840035098132535910734213321 1826482558728013376533941398101062242827259217150341270099
Info:Square Root: Total cpu/real time for sqrt: 7.27/2.4533
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 22.25/21.8204
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 16.6s
Info:Square Root: Total cpu/real time for sqrt: 7.27/2.4533
Info:Filtering - Singleton removal: Total cpu/real time for purge: 28.59/24.8336
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 3240806
Info:Lattice Sieving: Average J: 1894.49 for 19582 special-q, max bucket fill -bkmult 1.0,1s:1.365630
Info:Lattice Sieving: Total time: 3553.31s
Info:Linear Algebra: Total cpu/real time for bwc: 48.28/13.83
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 25.25, WCT time 7.07, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1792 iterations)
Info:Linear Algebra: Lingen CPU time 5.89, WCT time 1.54
Info:Linear Algebra: Mksol: CPU time 13.96,  WCT time 3.98, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (896 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 18.49/14.186
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 10.96/10.762
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 10.7s
Info:Filtering - Merging: Merged matrix has 55779 rows and total weight 9487930 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 11.59/3.20692
Info:Filtering - Merging: Total cpu/real time for replay: 1.7/1.40554
Info:Generate Factor Base: Total cpu/real time for makefb: 0.34/0.43573
Info:Quadratic Characters: Total cpu/real time for characters: 1.72/0.684804
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3341.71/2026.63
Info:root: Cleaning up computation data in /tmp/cado.6bb08evh
6478168420425254609943297840035098132535910734213321 1826482558728013376533941398101062242827259217150341270099
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10118+229

c102

name 名前Eric Jeancolas
date 日付May 30, 2022 19:07:20 UTC 2022 年 5 月 31 日 (火) 4 時 7 分 20 秒 (日本時間)
composite number 合成数
600179259257002632167058899083899743793098381748802442603937431108891512454945260038254132328656669131<102>
prime factors 素因数
4628396995060261724277109047328696664224922257<46>
129673245380107740478697839498015414901295901235604067483<57>
factorization results 素因数分解の結果
600179259257002632167058899083899743793098381748802442603937431108891512454945260038254132328656669131=4628396995060261724277109047328696664224922257*129673245380107740478697839498015414901295901235604067483

cado polynomial
n: 600179259257002632167058899083899743793098381748802442603937431108891512454945260038254132328656669131
skew: 0.31
type: snfs
c0: 11
c4: 1150
Y0: 100000000000000000000000000000
Y1: -1
# f(x) = 1150*x^4+11
# g(x) = -x+100000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 680000
tasks.lim1 = 680000
tasks.lpb0 = 25
tasks.lpb1 = 25
tasks.sieve.mfb0 = 45
tasks.sieve.mfb1 = 45
tasks.sieve.lambda0 = 2.2
tasks.sieve.lambda1 = 2.2
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 4628396995060261724277109047328696664224922257 129673245380107740478697839498015414901295901235604067483
Info:Square Root: Total cpu/real time for sqrt: 7.62/6.40453
Info:Quadratic Characters: Total cpu/real time for characters: 1.74/1.57482
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 23.69/40.2848
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 33.4s
Info:Square Root: Total cpu/real time for sqrt: 7.62/6.40453
Info:Linear Algebra: Total cpu/real time for bwc: 90.24/84.62
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 22.22, WCT time 23.43, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1728 iterations)
Info:Linear Algebra: Lingen CPU time 52.55, WCT time 44.87
Info:Linear Algebra: Mksol: CPU time 12.17,  WCT time 13.07, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (896 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 29.6/40.9098
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 3212347
Info:Lattice Sieving: Average J: 1896.31 for 18406 special-q, max bucket fill -bkmult 1.0,1s:1.356490
Info:Lattice Sieving: Total time: 3415.72s
Info:Generate Free Relations: Total cpu/real time for freerel: 18.72/14.5753
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 11.36/19.2886
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 19.1s
Info:Filtering - Merging: Merged matrix has 54229 rows and total weight 9232269 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 20/16.8409
Info:Filtering - Merging: Total cpu/real time for replay: 1.74/2.00238
Info:Generate Factor Base: Total cpu/real time for makefb: 0.36/0.429721
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3305.34/2200.31
Info:root: Cleaning up computation data in /tmp/cado.0fv1ivbm
4628396995060261724277109047328696664224922257 129673245380107740478697839498015414901295901235604067483
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10122+229

c105

name 名前Eric Jeancolas
date 日付May 30, 2022 20:39:07 UTC 2022 年 5 月 31 日 (火) 5 時 39 分 7 秒 (日本時間)
composite number 合成数
135484430851667043586987191501106491319081899080617803532087703041870882643731171759992036340692834112039<105>
prime factors 素因数
66087705196275004145305620883054344612284078335291<50>
2050070137089637458761071167482806446973795445910554629<55>
factorization results 素因数分解の結果
135484430851667043586987191501106491319081899080617803532087703041870882643731171759992036340692834112039=66087705196275004145305620883054344612284078335291*2050070137089637458761071167482806446973795445910554629

cado polynomial
n: 135484430851667043586987191501106491319081899080617803532087703041870882643731171759992036340692834112039
skew: 0.31
type: snfs
c0: 11
c4: 1150
Y0: 1000000000000000000000000000000
Y1: -1
# f(x) = 1150*x^4+11
# g(x) = -x+1000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 790000
tasks.lim1 = 790000
tasks.lpb0 = 25
tasks.lpb1 = 25
tasks.sieve.mfb0 = 46
tasks.sieve.mfb1 = 46
tasks.sieve.lambda0 = 2.2
tasks.sieve.lambda1 = 2.2
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 66087705196275004145305620883054344612284078335291 2050070137089637458761071167482806446973795445910554629
Info:Square Root: Total cpu/real time for sqrt: 9.61/3.19658
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 24.43/23.4768
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 17.9s
Info:Square Root: Total cpu/real time for sqrt: 9.61/3.19658
Info:Filtering - Singleton removal: Total cpu/real time for purge: 27.95/24.2095
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 3386665
Info:Lattice Sieving: Average J: 1893.22 for 23068 special-q, max bucket fill -bkmult 1.0,1s:1.362400
Info:Lattice Sieving: Total time: 3972.52s
Info:Linear Algebra: Total cpu/real time for bwc: 62.65/17.74
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 32.5, WCT time 8.88, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (2176 iterations)
Info:Linear Algebra: Lingen CPU time 8.06, WCT time 2.08
Info:Linear Algebra: Mksol: CPU time 18.34,  WCT time 5.25, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1088 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 18.64/13.4561
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 11.9/12.3492
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 12.3s
Info:Filtering - Merging: Merged matrix has 67417 rows and total weight 11465817 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 14/3.8653
Info:Filtering - Merging: Total cpu/real time for replay: 2.01/1.71789
Info:Generate Factor Base: Total cpu/real time for makefb: 0.41/0.547512
Info:Quadratic Characters: Total cpu/real time for characters: 2.1/0.828391
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3790.78/2169.53
Info:root: Cleaning up computation data in /tmp/cado.jugdg6mu
66087705196275004145305620883054344612284078335291 2050070137089637458761071167482806446973795445910554629
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10140+229

c110

name 名前Eric Jeancolas
date 日付June 1, 2022 20:23:26 UTC 2022 年 6 月 2 日 (木) 5 時 23 分 26 秒 (日本時間)
composite number 合成数
38203035367569834947922453645218755916387708361245360381271496900583832130005650769975066689618909544530637449<110>
prime factors 素因数
130342339076712781707563254448472322409<39>
293097666024586973808886719950274169516793455583632842483386834055574561<72>
factorization results 素因数分解の結果
38203035367569834947922453645218755916387708361245360381271496900583832130005650769975066689618909544530637449=130342339076712781707563254448472322409*293097666024586973808886719950274169516793455583632842483386834055574561

cado polynomial
n: 38203035367569834947922453645218755916387708361245360381271496900583832130005650769975066689618909544530637449
skew: 0.99
type: snfs
c0: 22
c4: 23
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 23*x^4+22
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1590000
tasks.lim1 = 1590000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 48
tasks.sieve.mfb1 = 48
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 293097666024586973808886719950274169516793455583632842483386834055574561 130342339076712781707563254448472322409
Info:Square Root: Total cpu/real time for sqrt: 23.51/19.0998
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 50.22/78.8211
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 70.0s
Info:Square Root: Total cpu/real time for sqrt: 23.51/19.0998
Info:Filtering - Singleton removal: Total cpu/real time for purge: 44.62/64.0028
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6035987
Info:Lattice Sieving: Average J: 1891.22 for 99081 special-q, max bucket fill -bkmult 1.0,1s:1.341890
Info:Lattice Sieving: Total time: 17324.9s
Info:Linear Algebra: Total cpu/real time for bwc: 449.63/437.72
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 204.01, WCT time 207.1, iteration CPU time 0.02, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (5120 iterations)
Info:Linear Algebra: Lingen CPU time 118.26, WCT time 100.54
Info:Linear Algebra: Mksol: CPU time 112.85,  WCT time 116.54, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (2560 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 36.4/24.7866
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23/41.4136
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 41.1s
Info:Filtering - Merging: Merged matrix has 162247 rows and total weight 27659884 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 37.23/29.4385
Info:Filtering - Merging: Total cpu/real time for replay: 5.38/5.85112
Info:Generate Factor Base: Total cpu/real time for makefb: 0.82/1.08238
Info:Quadratic Characters: Total cpu/real time for characters: 5.12/4.17807
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 16773.3/9578.19
Info:root: Cleaning up computation data in /tmp/cado.6svlil87
293097666024586973808886719950274169516793455583632842483386834055574561 130342339076712781707563254448472322409
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10142+229

c114

name 名前ebina
date 日付May 31, 2022 23:51:28 UTC 2022 年 6 月 1 日 (水) 8 時 51 分 28 秒 (日本時間)
composite number 合成数
154742208457540328682100474003761400803963718616093339318918185451374552420306771367067843910478217254654211332257<114>
prime factors 素因数
2983490262853673247937200551152526049257531<43>
51866168421656329249827881175773619945689574934130633000425247681499347<71>
factorization results 素因数分解の結果
Wed Jun  1 08:43:09 2022  Msieve v. 1.53 (SVN unknown)
Wed Jun  1 08:43:09 2022  random seeds: 642f1550 843f0cb4
Wed Jun  1 08:43:09 2022  factoring 154742208457540328682100474003761400803963718616093339318918185451374552420306771367067843910478217254654211332257 (114 digits)
Wed Jun  1 08:43:10 2022  searching for 15-digit factors
Wed Jun  1 08:43:10 2022  commencing number field sieve (114-digit input)
Wed Jun  1 08:43:10 2022  R0: -100000000000000000000000000000000000
Wed Jun  1 08:43:10 2022  R1: 1
Wed Jun  1 08:43:10 2022  A0: 11
Wed Jun  1 08:43:10 2022  A1: 0
Wed Jun  1 08:43:10 2022  A2: 0
Wed Jun  1 08:43:10 2022  A3: 0
Wed Jun  1 08:43:10 2022  A4: 1150
Wed Jun  1 08:43:10 2022  skew 0.31, size 5.165e-15, alpha -0.157, combined = 2.827e-09 rroots = 0
Wed Jun  1 08:43:10 2022  
Wed Jun  1 08:43:10 2022  commencing square root phase
Wed Jun  1 08:43:11 2022  reading relations for dependency 1
Wed Jun  1 08:43:11 2022  read 131477 cycles
Wed Jun  1 08:43:11 2022  cycles contain 436846 unique relations
Wed Jun  1 08:43:17 2022  read 436846 relations
Wed Jun  1 08:43:19 2022  multiplying 436846 relations
Wed Jun  1 08:43:26 2022  multiply complete, coefficients have about 13.28 million bits
Wed Jun  1 08:43:26 2022  initial square root is modulo 42518261
Wed Jun  1 08:43:36 2022  sqrtTime: 26
Wed Jun  1 08:43:36 2022  p43 factor: 2983490262853673247937200551152526049257531
Wed Jun  1 08:43:36 2022  p71 factor: 51866168421656329249827881175773619945689574934130633000425247681499347
Wed Jun  1 08:43:36 2022  elapsed time 00:00:27

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10143+229

c132

name 名前Bob Backstrom
date 日付May 30, 2022 06:33:26 UTC 2022 年 5 月 30 日 (月) 15 時 33 分 26 秒 (日本時間)
composite number 合成数
141759181690563887570093979539271086278678016542775228151657088918155033069909364170039017392909537967556215582365341183140269650263<132>
prime factors 素因数
2331692144758369203433193813074262213023<40>
60796697372437321473597477081346670419482745090044751481749350925865963779705117557150999881<92>
factorization results 素因数分解の結果
Number: n
N=141759181690563887570093979539271086278678016542775228151657088918155033069909364170039017392909537967556215582365341183140269650263  ( 132 digits)
SNFS difficulty: 144 digits.
Divisors found:

Mon May 30 16:30:22 2022  p40 factor: 2331692144758369203433193813074262213023
Mon May 30 16:30:22 2022  p92 factor: 60796697372437321473597477081346670419482745090044751481749350925865963779705117557150999881
Mon May 30 16:30:22 2022  elapsed time 00:03:08 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.339).
Factorization parameters were as follows:
#
# N = 23x10^143+22 = 25(142)8
#
n: 141759181690563887570093979539271086278678016542775228151657088918155033069909364170039017392909537967556215582365341183140269650263
m: 500000000000000000000000000000000000
deg: 4
c4: 92
c0: 55
skew: 0.88
# Murphy_E = 2.086e-09
type: snfs
lss: 1
rlim: 1810000
alim: 1810000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1810000/1810000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6505000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 420987 hash collisions in 5809384 relations (6047735 unique)
Msieve: matrix is 298939 x 299165 (102.1 MB)

Sieving start time : 2022/05/30 16:05:48
Sieving end time  : 2022/05/30 16:27:03

Total sieving time: 0hrs 21min 15secs.

Total relation processing time: 0hrs 1min 31sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 11sec.

Prototype def-par.txt line would be:
snfs,144,4,0,0,0,0,0,0,0,0,1810000,1810000,26,26,49,49,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10145+229

c145

name 名前Bob Backstrom
date 日付May 29, 2022 17:58:40 UTC 2022 年 5 月 30 日 (月) 2 時 58 分 40 秒 (日本時間)
composite number 合成数
1825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825397<145>
prime factors 素因数
1681984895472280312640097613196712146639<40>
1085263506414709395305817708099520292177949376336753350650765407222029244764524978009466215941421655899323<106>
factorization results 素因数分解の結果
Number: n
N=1825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825397  ( 145 digits)
SNFS difficulty: 146 digits.
Divisors found:

Mon May 30 03:54:29 2022  p40 factor: 1681984895472280312640097613196712146639
Mon May 30 03:54:29 2022  p106 factor: 1085263506414709395305817708099520292177949376336753350650765407222029244764524978009466215941421655899323
Mon May 30 03:54:29 2022  elapsed time 00:03:58 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# N = 23x10^145+22 = 25(144)8
#
n: 1825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825397
m: 100000000000000000000000000000
deg: 5
c5: 23
c0: 22
skew: 0.99
# Murphy_E = 2.163e-09
type: snfs
lss: 1
rlim: 1930000
alim: 1930000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1930000/1930000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 13765000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 943579 hash collisions in 8539951 relations (8155503 unique)
Msieve: matrix is 302490 x 302738 (94.6 MB)

Sieving start time : 2022/05/30 03:33:23
Sieving end time  : 2022/05/30 03:50:18

Total sieving time: 0hrs 16min 55secs.

Total relation processing time: 0hrs 1min 26sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 13sec.

Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1930000,1930000,26,26,49,49,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10146+229

c93

name 名前Eric Jeancolas
date 日付May 30, 2022 07:07:48 UTC 2022 年 5 月 30 日 (月) 16 時 7 分 48 秒 (日本時間)
composite number 合成数
464623395919939630341178231008826294369125840257645815983833807407216303299604468392775634977<93>
prime factors 素因数
5915299921922160367264860029127229431699985907<46>
78546041967887494953084727871524566551078970011<47>
factorization results 素因数分解の結果
464623395919939630341178231008826294369125840257645815983833807407216303299604468392775634977=5915299921922160367264860029127229431699985907*78546041967887494953084727871524566551078970011

cado polynomial
n: 464623395919939630341178231008826294369125840257645815983833807407216303299604468392775634977
skew: 446829.468
c0: -8657450973194808586848960
c1: 114711192639631729276
c2: -15707515937479
c3: 231501952
c4: 540
Y0: -27905723692657664213849
Y1: 22039061938848257
# MurphyE (Bf=3.355e+07,Bg=1.678e+07,area=4.194e+11) = 1.249e-05
# f(x) = 540*x^4+231501952*x^3-15707515937479*x^2+114711192639631729276*x-8657450973194808586848960
# g(x) = 22039061938848257*x-27905723692657664213849

cado parameters (extracts)
tasks.lim0 = 404327
tasks.lim1 = 811066
tasks.lpb0 = 23
tasks.lpb1 = 23
tasks.sieve.mfb0 = 46
tasks.sieve.mfb1 = 46
tasks.I = 11
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
nfo:Square Root: Factors: 78546041967887494953084727871524566551078970011 5915299921922160367264860029127229431699985907
Info:Square Root: Total cpu/real time for sqrt: 71.02/24.6937
Info:Filtering - Merging: Merged matrix has 121273 rows and total weight 17623095 (145.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 68.22/16.7795
Info:Filtering - Merging: Total cpu/real time for replay: 9.77/7.88406
Info:Generate Factor Base: Total cpu/real time for makefb: 1.64/0.402116
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 7181.67
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 7249/29.890/35.709/42.000/1.350
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 4873/28.720/33.663/37.940/1.128
Info:Polynomial Selection (size optimized): Total time: 323.21
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 45.56/39.3552
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 33.3s
Info:Quadratic Characters: Total cpu/real time for characters: 10.04/4.54501
Info:Square Root: Total cpu/real time for sqrt: 71.02/24.6937
Info:Linear Algebra: Total cpu/real time for bwc: 28935.7/6662.28
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 295.76, WCT time 165.3, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (3840 iterations)
Info:Linear Algebra: Lingen CPU time 28461.24, WCT time 6402.15
Info:Linear Algebra: Mksol: CPU time 164.07,  WCT time 86.9, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (1920 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 20.03/20.4769
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 2439416
Info:Lattice Sieving: Average J: 1019.48 for 26591 special-q, max bucket fill -bkmult 1.0,1s:1.275850
Info:Lattice Sieving: Total time: 4584.58s
Info:Generate Free Relations: Total cpu/real time for freerel: 61.29/12.7473
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 24.88/24.0448
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 23.7s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 139.8
Info:Polynomial Selection (root optimized): Rootsieve time: 138.83
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 35945.1/7721.11
Info:root: Cleaning up computation data in /tmp/cado.zmasq_0r
78546041967887494953084727871524566551078970011 5915299921922160367264860029127229431699985907
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10148+229

c140

name 名前Bob Backstrom
date 日付June 1, 2022 18:15:11 UTC 2022 年 6 月 2 日 (木) 3 時 15 分 11 秒 (日本時間)
composite number 合成数
33975414272884169014884071500718094163447397931047885270017727422810375168451248788701513681490293246447835059023358582717874390968947507457<140>
prime factors 素因数
1283445354904293457329439902766803324793691<43>
26472038052151987611735169125043134346421094859301481101303139512609848776463638954809129399375827<98>
factorization results 素因数分解の結果
Number: n
N=33975414272884169014884071500718094163447397931047885270017727422810375168451248788701513681490293246447835059023358582717874390968947507457  ( 140 digits)
SNFS difficulty: 149 digits.
Divisors found:

Thu Jun  2 04:11:53 2022  p43 factor: 1283445354904293457329439902766803324793691
Thu Jun  2 04:11:53 2022  p98 factor: 26472038052151987611735169125043134346421094859301481101303139512609848776463638954809129399375827
Thu Jun  2 04:11:53 2022  elapsed time 00:03:30 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.327).
Factorization parameters were as follows:
#
# N = 23x10^148+22 = 25(147)8
#
n: 33975414272884169014884071500718094163447397931047885270017727422810375168451248788701513681490293246447835059023358582717874390968947507457
m: 10000000000000000000000000000000000000
deg: 4
c4: 23
c0: 22
skew: 0.99
# Murphy_E = 1.772e-09
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 584604 hash collisions in 6983816 relations (7154014 unique)
Msieve: matrix is 312918 x 313144 (105.9 MB)

Sieving start time : 2022/06/02 03:43:41
Sieving end time  : 2022/06/02 04:08:12

Total sieving time: 0hrs 24min 31secs.

Total relation processing time: 0hrs 1min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 10sec.

Prototype def-par.txt line would be:
snfs,149,4,0,0,0,0,0,0,0,0,2200000,2200000,26,26,49,49,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10154+229

c127

name 名前Eric Jeancolas
date 日付June 4, 2022 02:50:35 UTC 2022 年 6 月 4 日 (土) 11 時 50 分 35 秒 (日本時間)
composite number 合成数
2568626525812714554820724732792966641016023656440987773172145794306939578581765663076193922643067369705815617526667744243999587<127>
prime factors 素因数
2864089731717689649828124784208404057<37>
896838704935485381523916822663260441458843643554493532203938362136026560339468644233867291<90>
factorization results 素因数分解の結果
2568626525812714554820724732792966641016023656440987773172145794306939578581765663076193922643067369705815617526667744243999587=2864089731717689649828124784208404057*896838704935485381523916822663260441458843643554493532203938362136026560339468644233867291

cado polynomial
n: 2568626525812714554820724732792966641016023656440987773172145794306939578581765663076193922643067369705815617526667744243999587
skew: 0.79
type: snfs
c0: 55
c5: 184
Y0: 5000000000000000000000000000000
Y1: -1
# f(x) = 184*x^5+55
# g(x) = -x+5000000000000000000000000000000

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

cado log (extracts)
Info:Square Root: Factors: 896838704935485381523916822663260441458843643554493532203938362136026560339468644233867291 2864089731717689649828124784208404057
Info:Square Root: Total cpu/real time for sqrt: 58.29/44.8579
Info:Quadratic Characters: Total cpu/real time for characters: 9.94/8.3167
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 104.61/155.852
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 146.5s
Info:Square Root: Total cpu/real time for sqrt: 58.29/44.8579
Info:Linear Algebra: Total cpu/real time for bwc: 1626.17/1398.63
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 881.95, WCT time 781.72, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (9856 iterations)
Info:Linear Algebra: Lingen CPU time 233.3, WCT time 195.51
Info:Linear Algebra: Mksol: CPU time 481.15,  WCT time 395.29, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (4992 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 88.19/125.437
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11635878
Info:Lattice Sieving: Average J: 1894.65 for 230934 special-q, max bucket fill -bkmult 1.0,1s:1.259040
Info:Lattice Sieving: Total time: 52659.7s
Info:Generate Free Relations: Total cpu/real time for freerel: 59.95/46.6547
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.36/80.7585
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 80.6s
Info:Filtering - Merging: Merged matrix has 312111 rows and total weight 53226592 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 67.79/50.392
Info:Filtering - Merging: Total cpu/real time for replay: 10.75/11.851
Info:Generate Factor Base: Total cpu/real time for makefb: 1.22/1.72357
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 51508/28537
Info:root: Cleaning up computation data in /tmp/cado.gw53ckwe
896838704935485381523916822663260441458843643554493532203938362136026560339468644233867291 2864089731717689649828124784208404057
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10155+229

c140

name 名前Bob Backstrom
date 日付May 31, 2022 13:20:25 UTC 2022 年 5 月 31 日 (火) 22 時 20 分 25 秒 (日本時間)
composite number 合成数
25707347047876596065437649966637104816178016687154476239118627619289024952196947293654766455019321578744093316182426387109221833035471028587<140>
prime factors 素因数
13417524878958669699861440887761681605581863680910508697687210567<65>
1915953000257953386276682454011645035530627307057512817252915232382135152061<76>
factorization results 素因数分解の結果
Number: n
N=25707347047876596065437649966637104816178016687154476239118627619289024952196947293654766455019321578744093316182426387109221833035471028587  ( 140 digits)
SNFS difficulty: 156 digits.
Divisors found:

Tue May 31 23:16:06 2022  p65 factor: 13417524878958669699861440887761681605581863680910508697687210567
Tue May 31 23:16:06 2022  p76 factor: 1915953000257953386276682454011645035530627307057512817252915232382135152061
Tue May 31 23:16:06 2022  elapsed time 00:05:33 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.341).
Factorization parameters were as follows:
#
# N = 23x10^155+22 = 25(154)8
#
n: 25707347047876596065437649966637104816178016687154476239118627619289024952196947293654766455019321578744093316182426387109221833035471028587
m: 10000000000000000000000000000000
deg: 5
c5: 23
c0: 22
skew: 0.99
# Murphy_E = 9.013e-10
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 931976 hash collisions in 13021681 relations (12691935 unique)
Msieve: matrix is 375848 x 376074 (126.1 MB)

Sieving start time : 2022/05/31 22:47:40
Sieving end time  : 2022/05/31 23:10:17

Total sieving time: 0hrs 22min 37secs.

Total relation processing time: 0hrs 2min 22sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 17sec.

Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10156+229

c139

name 名前Bob Backstrom
date 日付June 1, 2022 19:06:06 UTC 2022 年 6 月 2 日 (木) 4 時 6 分 6 秒 (日本時間)
composite number 合成数
1948054463141117420143592243928920232061451903717743623255823529086820226496361434937771230778432217425578444796882436881447837288116451383<139>
prime factors 素因数
427378718268090213502813301190014327633<39>
258283732877173718658584588586600056450645239<45>
17647823346531221507425488982047278843978855875893559409<56>
factorization results 素因数分解の結果
Number: n
N=1948054463141117420143592243928920232061451903717743623255823529086820226496361434937771230778432217425578444796882436881447837288116451383  ( 139 digits)
SNFS difficulty: 157 digits.
Divisors found:

Thu Jun  2 05:00:30 2022  found factor: 258283732877173718658584588586600056450645239
Thu Jun  2 05:00:49 2022  p39 factor: 427378718268090213502813301190014327633
Thu Jun  2 05:00:49 2022  p45 factor: 258283732877173718658584588586600056450645239
Thu Jun  2 05:00:49 2022  p56 factor: 17647823346531221507425488982047278843978855875893559409
Thu Jun  2 05:00:49 2022  elapsed time 00:06:00 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.334).
Factorization parameters were as follows:
#
# N = 23x10^156+22 = 25(155)8
#
n: 1948054463141117420143592243928920232061451903717743623255823529086820226496361434937771230778432217425578444796882436881447837288116451383
m: 10000000000000000000000000000000
deg: 5
c5: 115
c0: 11
skew: 0.63
# Murphy_E = 8.22e-10
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1049267 hash collisions in 12634079 relations (12408141 unique)
Msieve: matrix is 409549 x 409777 (137.8 MB)

Sieving start time : 2022/06/02 04:18:29
Sieving end time  : 2022/06/02 04:54:34

Total sieving time: 0hrs 36min 5secs.

Total relation processing time: 0hrs 2min 29sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 38sec.

Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10159+229

c145

name 名前Bob Backstrom
date 日付June 1, 2022 14:40:40 UTC 2022 年 6 月 1 日 (水) 23 時 40 分 40 秒 (日本時間)
composite number 合成数
7524332305421369147700898089491487693917055369320156341591553220230116176143576177670319414790271311468794470088882318880970318593695631783026961<145>
prime factors 素因数
207263860127123926634081676364697913112472823469202525189272476677<66>
36303156280146328318685055791639070718027970105486722607740739134320688828648093<80>
factorization results 素因数分解の結果
Number: n
N=7524332305421369147700898089491487693917055369320156341591553220230116176143576177670319414790271311468794470088882318880970318593695631783026961  ( 145 digits)
SNFS difficulty: 160 digits.
Divisors found:

Wed Jun  1 23:11:47 2022  p66 factor: 207263860127123926634081676364697913112472823469202525189272476677
Wed Jun  1 23:11:47 2022  p80 factor: 36303156280146328318685055791639070718027970105486722607740739134320688828648093
Wed Jun  1 23:11:47 2022  elapsed time 00:09:24 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 23x10^159+22 = 25(158)8
#
n: 7524332305421369147700898089491487693917055369320156341591553220230116176143576177670319414790271311468794470088882318880970318593695631783026961
m: 50000000000000000000000000000000
deg: 5
c5: 184
c0: 55
skew: 0.79
# Murphy_E = 4.765e-10
type: snfs
lss: 1
rlim: 3300000
alim: 3300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3300000/3300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 14450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1066226 hash collisions in 12517542 relations (12260772 unique)
Msieve: matrix is 527008 x 527237 (181.2 MB)

Sieving start time : 2022/06/01 21:46:37
Sieving end time  : 2022/06/01 23:02:09

Total sieving time: 1hrs 15min 32secs.

Total relation processing time: 0hrs 3min 57sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 31sec.

Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,3300000,3300000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10160+229

c115

name 名前Eric Jeancolas
date 日付May 31, 2022 18:45:03 UTC 2022 年 6 月 1 日 (水) 3 時 45 分 3 秒 (日本時間)
composite number 合成数
4353504486348400281514364038582146343366399161537981570443679016057955135016465003331987485910646558030757337112459<115>
prime factors 素因数
259441910161564153432902861540798405869<39>
16780266856797772851801908318391588197666220971784344906205410141662783969111<77>
factorization results 素因数分解の結果
4353504486348400281514364038582146343366399161537981570443679016057955135016465003331987485910646558030757337112459=259441910161564153432902861540798405869*16780266856797772851801908318391588197666220971784344906205410141662783969111

cado polynomial
n: 4353504486348400281514364038582146343366399161537981570443679016057955135016465003331987485910646558030757337112459
skew: 10556.645
c0: 3450628537454236072950565
c1: 2687262243806981587972
c2: -388103885513659831
c3: 190520750171064
c4: 4310718770
c5: 69300
Y0: -9609808508984095919330
Y1: 221269889492729719
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.027e-06
# f(x) = 69300*x^5+4310718770*x^4+190520750171064*x^3-388103885513659831*x^2+2687262243806981587972*x+3450628537454236072950565
# g(x) = 221269889492729719*x-9609808508984095919330

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

cado log (extracts)
Info:Square Root: Factors: 16780266856797772851801908318391588197666220971784344906205410141662783969111 259441910161564153432902861540798405869
Info:Square Root: Total cpu/real time for sqrt: 142.16/43.5452
Info:Filtering - Singleton removal: Total cpu/real time for purge: 89.87/104.738
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7206023
Info:Lattice Sieving: Average J: 1895.68 for 152977 special-q, max bucket fill -bkmult 1.0,1s:1.245350
Info:Lattice Sieving: Total time: 25000s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.22/3.39847
Info:Linear Algebra: Total cpu/real time for bwc: 2616.98/674.83
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1620.22, WCT time 414.27, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13952 iterations)
Info:Linear Algebra: Lingen CPU time 69.45, WCT time 17.68
Info:Linear Algebra: Mksol: CPU time 889.38,  WCT time 227.4, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6912 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 63.91/41.6742
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 29.12/31.4201
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 30.599999999999998s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 319.38
Info:Polynomial Selection (root optimized): Rootsieve time: 318.21
Info:Filtering - Merging: Merged matrix has 441963 rows and total weight 68540764 (155.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 72.36/21.4964
Info:Filtering - Merging: Total cpu/real time for replay: 14.88/12.1359
Info:Quadratic Characters: Total cpu/real time for characters: 15.96/6.247
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21492.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21956/33.540/40.895/46.210/1.078
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 17190/32.590/36.196/41.290/0.835
Info:Polynomial Selection (size optimized): Total time: 1798.19
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 119.43/130.569
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 96.5s
Info:Square Root: Total cpu/real time for sqrt: 142.16/43.5452
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 36788.9/14536.6
Info:root: Cleaning up computation data in /tmp/cado.28lyalwp
16780266856797772851801908318391588197666220971784344906205410141662783969111 259441910161564153432902861540798405869
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10161+229

c117

name 名前Eric Jeancolas
date 日付June 6, 2022 03:52:02 UTC 2022 年 6 月 6 日 (月) 12 時 52 分 2 秒 (日本時間)
composite number 合成数
218693714717110625902647648776217324891507583903833278276622519108617490964371541428807406426324236716145861957528871<117>
prime factors 素因数
1237513408913515063494564066456205981<37>
5304995987763157285114518385563864243331<40>
33312047599730853957439118736823611568561<41>
factorization results 素因数分解の結果
218693714717110625902647648776217324891507583903833278276622519108617490964371541428807406426324236716145861957528871=1237513408913515063494564066456205981*5304995987763157285114518385563864243331*33312047599730853957439118736823611568561

cado polynomial
n: 218693714717110625902647648776217324891507583903833278276622519108617490964371541428807406426324236716145861957528871
skew: 0.63
type: snfs
c0: 11
c5: 115
Y0: 100000000000000000000000000000000
Y1: -1
# f(x) = 115*x^5+11
# g(x) = -x+100000000000000000000000000000000

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

cado log (extracts)
Info:Square Root: Factors: 33312047599730853957439118736823611568561 5304995987763157285114518385563864243331 1237513408913515063494564066456205981
Info:Square Root: Total cpu/real time for sqrt: 218.2/66.7018
Info:Filtering - Singleton removal: Total cpu/real time for purge: 76.39/90.232
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11621835
Info:Lattice Sieving: Average J: 1893.57 for 247889 special-q, max bucket fill -bkmult 1.0,1s:1.216540
Info:Lattice Sieving: Total time: 60368.8s
Info:Generate Free Relations: Total cpu/real time for freerel: 59.51/41.0695
Info:Linear Algebra: Total cpu/real time for bwc: 2545.24/762.19
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1569.8, WCT time 496.72, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13184 iterations)
Info:Linear Algebra: Lingen CPU time 64.81, WCT time 16.5
Info:Linear Algebra: Mksol: CPU time 867.16,  WCT time 221.56, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6656 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.42/60.7728
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 60.6s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 106.32/117.219
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 104.1s
Info:Filtering - Merging: Merged matrix has 419992 rows and total weight 71487851 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 94.59/40.6693
Info:Filtering - Merging: Total cpu/real time for replay: 16.9/16.6511
Info:Generate Factor Base: Total cpu/real time for makefb: 1.53/1.92645
Info:Quadratic Characters: Total cpu/real time for characters: 13.69/5.36585
Info:Square Root: Total cpu/real time for sqrt: 218.2/66.7018
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 59603.4/31625
Info:root: Cleaning up computation data in /tmp/cado.q2sbng4_
33312047599730853957439118736823611568561 5304995987763157285114518385563864243331 1237513408913515063494564066456205981
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10162+229

c149

name 名前Bob Backstrom
date 日付May 31, 2022 21:09:43 UTC 2022 年 6 月 1 日 (水) 6 時 9 分 43 秒 (日本時間)
composite number 合成数
55233864198335667051301075121995841889728577580123625902077913511072368439686431615790741656250878767358648240722926994218770293231945928112767126593<149>
prime factors 素因数
16028580092455438307261878469684288754085621498287709<53>
3445961144389448039500749267437788616546034807457290809939574039410825927481313102587466236897077<97>
factorization results 素因数分解の結果
Number: n
N=55233864198335667051301075121995841889728577580123625902077913511072368439686431615790741656250878767358648240722926994218770293231945928112767126593  ( 149 digits)
SNFS difficulty: 163 digits.
Divisors found:

Wed Jun  1 07:04:24 2022  p53 factor: 16028580092455438307261878469684288754085621498287709
Wed Jun  1 07:04:24 2022  p97 factor: 3445961144389448039500749267437788616546034807457290809939574039410825927481313102587466236897077
Wed Jun  1 07:04:24 2022  elapsed time 00:07:48 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.319).
Factorization parameters were as follows:
#
# N = 23x10^162+22 = 25(161)8
#
n: 55233864198335667051301075121995841889728577580123625902077913511072368439686431615790741656250878767358648240722926994218770293231945928112767126593
m: 100000000000000000000000000000000
deg: 5
c5: 1150
c0: 11
skew: 0.39
# Murphy_E = 3.73e-10
type: snfs
lss: 1
rlim: 3700000
alim: 3700000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3700000/3700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1278344 hash collisions in 12362482 relations (11827294 unique)
Msieve: matrix is 541990 x 542215 (186.1 MB)

Sieving start time : 2022/06/01 06:23:36
Sieving end time  : 2022/06/01 06:56:20

Total sieving time: 0hrs 32min 44secs.

Total relation processing time: 0hrs 4min 21sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 36sec.

Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,3700000,3700000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10163+229

c135

name 名前Bob Backstrom
date 日付June 2, 2022 09:08:03 UTC 2022 年 6 月 2 日 (木) 18 時 8 分 3 秒 (日本時間)
composite number 合成数
102505035360850331276924094628657989607907266546948341181821919563174681170370711863641769065408643180675560133452692012161712580675187<135>
prime factors 素因数
3807638046812797005225276561794731<34>
26920897968926615255751993646595923114496085515754832914017373775009335178824080803497881772368133977<101>
factorization results 素因数分解の結果
Number: n
N=102505035360850331276924094628657989607907266546948341181821919563174681170370711863641769065408643180675560133452692012161712580675187  ( 135 digits)
SNFS difficulty: 164 digits.
Divisors found:

Thu Jun  2 19:03:57 2022  p34 factor: 3807638046812797005225276561794731
Thu Jun  2 19:03:57 2022  p101 factor: 26920897968926615255751993646595923114496085515754832914017373775009335178824080803497881772368133977
Thu Jun  2 19:03:57 2022  elapsed time 00:08:44 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.331).
Factorization parameters were as follows:
#
# N = 23x10^163+22 = 25(162)8
#
n: 102505035360850331276924094628657989607907266546948341181821919563174681170370711863641769065408643180675560133452692012161712580675187
m: 100000000000000000000000000000000
deg: 5
c5: 11500
c0: 11
skew: 0.25
# Murphy_E = 3.413e-10
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 14700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1184781 hash collisions in 12329017 relations (11908682 unique)
Msieve: matrix is 582618 x 582843 (201.2 MB)

Sieving start time : 2022/06/02 17:56:05
Sieving end time  : 2022/06/02 18:54:58

Total sieving time: 0hrs 58min 53secs.

Total relation processing time: 0hrs 5min 8sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 43sec.

Prototype def-par.txt line would be:
snfs,164,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154118] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204)
[    0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10164+229

c155

name 名前Bob Backstrom
date 日付June 5, 2022 16:28:32 UTC 2022 年 6 月 6 日 (月) 1 時 28 分 32 秒 (日本時間)
composite number 合成数
20427352656227382094092400149514032426800267856741794303799733182349675447033442699214155393176962602069939415614458984726609936085405680902019916166611153<155>
prime factors 素因数
280525609380289597336927812917179045249579<42>
61984351091542241709151247555339459152441812196919107<53>
1174782620853020737361935645222195676541432471435647512608401<61>
factorization results 素因数分解の結果
Number: n
N=20427352656227382094092400149514032426800267856741794303799733182349675447033442699214155393176962602069939415614458984726609936085405680902019916166611153  ( 155 digits)
SNFS difficulty: 165 digits.
Divisors found:

Mon Jun  6 02:23:04 2022  found factor: 1174782620853020737361935645222195676541432471435647512608401
Mon Jun  6 02:23:40 2022  p42 factor: 280525609380289597336927812917179045249579
Mon Jun  6 02:23:40 2022  p53 factor: 61984351091542241709151247555339459152441812196919107
Mon Jun  6 02:23:40 2022  p61 factor: 1174782620853020737361935645222195676541432471435647512608401
Mon Jun  6 02:23:40 2022  elapsed time 00:10:19 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.338).
Factorization parameters were as follows:
#
# N = 23x10^164+22 = 25(163)8
#
n: 20427352656227382094092400149514032426800267856741794303799733182349675447033442699214155393176962602069939415614458984726609936085405680902019916166611153
m: 500000000000000000000000000000000
deg: 5
c5: 184
c0: 55
skew: 0.79
# Murphy_E = 3.042e-10
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 14850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1345948 hash collisions in 12438032 relations (11825807 unique)
Msieve: matrix is 574057 x 574282 (197.1 MB)

Sieving start time : 2022/06/06 01:14:08
Sieving end time  : 2022/06/06 02:13:07

Total sieving time: 0hrs 58min 59secs.

Total relation processing time: 0hrs 5min 1sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 23sec.

Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154118] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204)
[    0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10166+229

c150

name 名前Bob Backstrom
date 日付June 5, 2022 21:34:57 UTC 2022 年 6 月 6 日 (月) 6 時 34 分 57 秒 (日本時間)
composite number 合成数
103412182660838667322700943869510866311706337393871400152266065751301024615182122976351077598851873657621057374844485201832941253375377289715335482283<150>
prime factors 素因数
7152725705982879799764627730622782771<37>
41406224293575389381944232381989643256368059291807<50>
349168054685656485444418013353563028913854120024857346455302839<63>
factorization results 素因数分解の結果
Number: n
N=103412182660838667322700943869510866311706337393871400152266065751301024615182122976351077598851873657621057374844485201832941253375377289715335482283  ( 150 digits)
SNFS difficulty: 167 digits.
Divisors found:

Mon Jun  6 07:29:58 2022  found factor: 7152725705982879799764627730622782771
Mon Jun  6 07:30:30 2022  found factor: 7152725705982879799764627730622782771
Mon Jun  6 07:31:02 2022  p37 factor: 7152725705982879799764627730622782771
Mon Jun  6 07:31:02 2022  p50 factor: 41406224293575389381944232381989643256368059291807
Mon Jun  6 07:31:02 2022  p63 factor: 349168054685656485444418013353563028913854120024857346455302839
Mon Jun  6 07:31:02 2022  elapsed time 00:09:41 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 23x10^166+22 = 25(165)8
#
n: 103412182660838667322700943869510866311706337393871400152266065751301024615182122976351077598851873657621057374844485201832941253375377289715335482283
m: 1000000000000000000000000000000000
deg: 5
c5: 115
c0: 11
skew: 0.63
# Murphy_E = 3.355e-10
type: snfs
lss: 1
rlim: 4300000
alim: 4300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4300000/4300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1252606 hash collisions in 12282402 relations (11773551 unique)
Msieve: matrix is 552171 x 552397 (191.0 MB)

Sieving start time : 2022/06/06 06:33:45
Sieving end time  : 2022/06/06 07:21:07

Total sieving time: 0hrs 47min 22secs.

Total relation processing time: 0hrs 4min 36sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 11sec.

Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,4300000,4300000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154118] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204)
[    0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10170+229

c167

name 名前Bob Backstrom
date 日付June 3, 2022 09:35:12 UTC 2022 年 6 月 3 日 (金) 18 時 35 分 12 秒 (日本時間)
composite number 合成数
19422066845687456722568441674688824711624529225988414314907702960598537433922750840215500498218236476330411578929590785495938254716184492746280251980206380571177652801<167>
prime factors 素因数
696680803783011369638376354520572696762169003744639327956551<60>
27877999135651031332615684926703715872962487603634843877677030103445820715526897357134749236691115611133751<107>
factorization results 素因数分解の結果
Number: n
N=19422066845687456722568441674688824711624529225988414314907702960598537433922750840215500498218236476330411578929590785495938254716184492746280251980206380571177652801  ( 167 digits)
SNFS difficulty: 171 digits.
Divisors found:

Fri Jun  3 19:30:19 2022  p60 factor: 696680803783011369638376354520572696762169003744639327956551
Fri Jun  3 19:30:19 2022  p107 factor: 27877999135651031332615684926703715872962487603634843877677030103445820715526897357134749236691115611133751
Fri Jun  3 19:30:19 2022  elapsed time 00:13:18 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.312).
Factorization parameters were as follows:
#
# N = 23x10^170+22 = 25(169)8
#
n: 19422066845687456722568441674688824711624529225988414314907702960598537433922750840215500498218236476330411578929590785495938254716184492746280251980206380571177652801
m: 10000000000000000000000000000000000
deg: 5
c5: 23
c0: 22
skew: 0.99
# Murphy_E = 2.336e-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, 8100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1235804 hash collisions in 12194179 relations (11699537 unique)
Msieve: matrix is 723166 x 723391 (251.3 MB)

Sieving start time : 2022/06/03 18:33:33
Sieving end time  : 2022/06/03 19:16:46

Total sieving time: 0hrs 43min 13secs.

Total relation processing time: 0hrs 8min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 11sec.

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) ----------
[    0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154118] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204)
[    0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10171+229

c143

name 名前Bob Backstrom
date 日付June 8, 2022 01:16:57 UTC 2022 年 6 月 8 日 (水) 10 時 16 分 57 秒 (日本時間)
composite number 合成数
22947060786205733384621859134929183581521731349538362929315924894700250618152409688645640129162952776695557057783686944357534485941685811885219<143>
prime factors 素因数
166389479407894582045390331529166855146681204259696708883947051127171<69>
137911728961855132322211351430861132399093587725844648374155889327331477089<75>
factorization results 素因数分解の結果
Number: n
N=22947060786205733384621859134929183581521731349538362929315924894700250618152409688645640129162952776695557057783686944357534485941685811885219  ( 143 digits)
SNFS difficulty: 172 digits.
Divisors found:

Wed Jun  8 11:13:25 2022  p69 factor: 166389479407894582045390331529166855146681204259696708883947051127171
Wed Jun  8 11:13:25 2022  p75 factor: 137911728961855132322211351430861132399093587725844648374155889327331477089
Wed Jun  8 11:13:25 2022  elapsed time 00:12:31 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.319).
Factorization parameters were as follows:
#
# N = 23x10^171+22 = 25(170)8
#
n: 22947060786205733384621859134929183581521731349538362929315924894700250618152409688645640129162952776695557057783686944357534485941685811885219
m: 10000000000000000000000000000000000
deg: 5
c5: 115
c0: 11
skew: 0.63
# Murphy_E = 2.128e-10
type: snfs
lss: 1
rlim: 5200000
alim: 5200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1300639 hash collisions in 12293651 relations (11729690 unique)
Msieve: matrix is 750483 x 750708 (261.5 MB)

Sieving start time : 2022/06/08 10:18:02
Sieving end time  : 2022/06/08 11:00:37

Total sieving time: 0hrs 42min 35secs.

Total relation processing time: 0hrs 8min 36sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 52sec.

Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,5200000,5200000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154118] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204)
[    0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10175+229

c135

name 名前Eric Jeancolas
date 日付June 23, 2022 16:20:57 UTC 2022 年 6 月 24 日 (金) 1 時 20 分 57 秒 (日本時間)
composite number 合成数
574601172804109012917090698190607347647716501214538040976749903874455826391816003162351709200136373007648892073361725666380004709365957<135>
prime factors 素因数
5234979723759620313378143491465678661946173677<46>
109761871702426776627559000360589621969567702749836336590126002874206293904656558131907641<90>
factorization results 素因数分解の結果
574601172804109012917090698190607347647716501214538040976749903874455826391816003162351709200136373007648892073361725666380004709365957=5234979723759620313378143491465678661946173677*109761871702426776627559000360589621969567702749836336590126002874206293904656558131907641

cado polynomial
n: 574601172804109012917090698190607347647716501214538040976749903874455826391816003162351709200136373007648892073361725666380004709365957
skew: 0.99
type: snfs
c0: 22
c5: 23
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 23*x^5+22
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 6100000
tasks.lim1 = 6100000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 109761871702426776627559000360589621969567702749836336590126002874206293904656558131907641 5234979723759620313378143491465678661946173677
Info:Square Root: Total cpu/real time for sqrt: 172.6/55.6886
Info:Quadratic Characters: Total cpu/real time for characters: 28.04/11.0318
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 212.61/180.381
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 162.8s
Info:Square Root: Total cpu/real time for sqrt: 172.6/55.6886
Info:Linear Algebra: Total cpu/real time for bwc: 10886.2/2794.49
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 6869.4, WCT time 1755.54, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (26368 iterations)
Info:Linear Algebra: Lingen CPU time 150.33, WCT time 38.17
Info:Linear Algebra: Mksol: CPU time 3732.44,  WCT time 952.76, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13312 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 137.3/133.509
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22430964
Info:Lattice Sieving: Average J: 1893.06 for 689941 special-q, max bucket fill -bkmult 1.0,1s:1.199520
Info:Lattice Sieving: Total time: 111187s
Info:Generate Free Relations: Total cpu/real time for freerel: 117.52/32.3102
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 89.03/101.463
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 101.4s
Info:Filtering - Merging: Merged matrix has 838232 rows and total weight 142687595 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 196.41/54.6377
Info:Filtering - Merging: Total cpu/real time for replay: 28.89/24.2778
Info:Generate Factor Base: Total cpu/real time for makefb: 2.6/1.41756
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 218732/59251.6
Info:root: Cleaning up computation data in /tmp/cado.stwcrcgj
109761871702426776627559000360589621969567702749836336590126002874206293904656558131907641 5234979723759620313378143491465678661946173677
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 10, 2022 11:18:54 UTC 2022 年 6 月 10 日 (金) 20 時 18 分 54 秒 (日本時間)

23×10181+229

c107

name 名前Eric Jeancolas
date 日付May 30, 2022 10:55:51 UTC 2022 年 5 月 30 日 (月) 19 時 55 分 51 秒 (日本時間)
composite number 合成数
11464158315322293399070422103400507337420779320858905009889859132568649809140895226140152756656313857294519<107>
prime factors 素因数
466483912560819275241129428082081008298013<42>
24575677760007679769979660128918182435589819000958244443653716963<65>
factorization results 素因数分解の結果
11464158315322293399070422103400507337420779320858905009889859132568649809140895226140152756656313857294519=466483912560819275241129428082081008298013*24575677760007679769979660128918182435589819000958244443653716963

cado polynomial
n: 11464158315322293399070422103400507337420779320858905009889859132568649809140895226140152756656313857294519
skew: 10994.391
c0: -1903536487563666962887636
c1: -474703182415065471522
c2: 95248987866949872
c3: 378650421993
c4: 252825178
c5: 14400
Y0: -233312750916197256147
Y1: 1941388407826523
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 2.972e-06
# f(x) = 14400*x^5+252825178*x^4+378650421993*x^3+95248987866949872*x^2-474703182415065471522*x-1903536487563666962887636
# g(x) = 1941388407826523*x-233312750916197256147

cado parameters (extracts)
tasks.lim0 = 1000000
tasks.lim1 = 1600000
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: 466483912560819275241129428082081008298013 24575677760007679769979660128918182435589819000958244443653716963
Info:Square Root: Total cpu/real time for sqrt: 61.18/45.8586
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 9952.64
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 9890/30.410/37.582/43.600/1.118
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 7577/29.280/33.309/37.990/0.883
Info:Polynomial Selection (size optimized): Total time: 495.83
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 68.81/110.545
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 86.40000000000002s
Info:Quadratic Characters: Total cpu/real time for characters: 8.54/6.94066
Info:Square Root: Total cpu/real time for sqrt: 61.18/45.8586
Info:Linear Algebra: Total cpu/real time for bwc: 762.62/672.07
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 347.56, WCT time 334.56, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (7168 iterations)
Info:Linear Algebra: Lingen CPU time 202.35, WCT time 173.82
Info:Linear Algebra: Mksol: CPU time 195.16,  WCT time 147.62, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (3584 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 45.4/75.5871
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5020802
Info:Lattice Sieving: Average J: 1890.31 for 58017 special-q, max bucket fill -bkmult 1.0,1s:1.313700
Info:Lattice Sieving: Total time: 10568.3s
Info:Generate Factor Base: Total cpu/real time for makefb: 1.51/1.33873
Info:Generate Free Relations: Total cpu/real time for freerel: 62.45/24.6526
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 19.97/35.328
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 34.2s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 142.19
Info:Polynomial Selection (root optimized): Rootsieve time: 141.56
Info:Filtering - Merging: Merged matrix has 210675 rows and total weight 30709857 (145.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 31.41/24.8587
Info:Filtering - Merging: Total cpu/real time for replay: 8.3/9.0575
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 11305.1/6594.93
Info:root: Cleaning up computation data in /tmp/cado.ujwxigee
466483912560819275241129428082081008298013 24575677760007679769979660128918182435589819000958244443653716963
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10182+229

c164

name 名前Bob Backstrom
date 日付June 18, 2022 08:43:37 UTC 2022 年 6 月 18 日 (土) 17 時 43 分 37 秒 (日本時間)
composite number 合成数
73299217200561629164843079626721833409401896421515984194341079934696373832052521492384341787739201398537089251853552058477313204329127244774359418685358853902260917<164>
prime factors 素因数
768384003349136646302082152318152823170089662467<48>
128555797452473619058902326635753336513216107523592119<54>
742043482610520617316943415293748425080081096745997048692738129<63>
factorization results 素因数分解の結果
Number: n
N=73299217200561629164843079626721833409401896421515984194341079934696373832052521492384341787739201398537089251853552058477313204329127244774359418685358853902260917  ( 164 digits)
SNFS difficulty: 183 digits.
Divisors found:

Sat Jun 18 18:37:10 2022  found factor: 128555797452473619058902326635753336513216107523592119
Sat Jun 18 18:38:18 2022  p48 factor: 768384003349136646302082152318152823170089662467
Sat Jun 18 18:38:18 2022  p54 factor: 128555797452473619058902326635753336513216107523592119
Sat Jun 18 18:38:18 2022  p63 factor: 742043482610520617316943415293748425080081096745997048692738129
Sat Jun 18 18:38:18 2022  elapsed time 00:26:46 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 23x10^182+22 = 25(181)8
#
n: 73299217200561629164843079626721833409401896421515984194341079934696373832052521492384341787739201398537089251853552058477313204329127244774359418685358853902260917
m: 1000000000000000000000000000000000000
deg: 5
c5: 1150
c0: 11
skew: 0.39
# Murphy_E = 5.97e-11
type: snfs
lss: 1
rlim: 7900000
alim: 7900000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7900000/7900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 23950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3250118 hash collisions in 28698417 relations (27135413 unique)
Msieve: matrix is 1021401 x 1021628 (346.4 MB)

Sieving start time : 2022/06/18 10:35:43
Sieving end time  : 2022/06/18 18:09:40

Total sieving time: 7hrs 33min 57secs.

Total relation processing time: 0hrs 17min 30sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 15sec.

Prototype def-par.txt line would be:
snfs,183,5,0,0,0,0,0,0,0,0,7900000,7900000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118494] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197192K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530044K reserved, 0K cma-reserved)
[    0.153548] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798684)
[    0.152038] smpboot: Total of 16 processors activated (102389.47 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 9, 2022 10:59:38 UTC 2022 年 6 月 9 日 (木) 19 時 59 分 38 秒 (日本時間)

23×10183+229

c131

name 名前Eric Jeancolas
date 日付July 10, 2022 21:07:38 UTC 2022 年 7 月 11 日 (月) 6 時 7 分 38 秒 (日本時間)
composite number 合成数
91842095907528418847371887332506520819983028288277307046619808874163938675515003726503873413400331295063611778043649156585846719229<131>
prime factors 素因数
22585053194676123042305512214978721102553971601069<50>
4066498985673319516275750021623013659198738597816617900699042866522463646896586641<82>
factorization results 素因数分解の結果
91842095907528418847371887332506520819983028288277307046619808874163938675515003726503873413400331295063611778043649156585846719229=22585053194676123042305512214978721102553971601069*4066498985673319516275750021623013659198738597816617900699042866522463646896586641

cado polynomial
n: 91842095907528418847371887332506520819983028288277307046619808874163938675515003726503873413400331295063611778043649156585846719229
skew: 0.25
type: snfs
c0: 11
c5: 11500
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 11500*x^5+11
# g(x) = -x+1000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 8200000
tasks.lim1 = 8200000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 22585053194676123042305512214978721102553971601069 4066498985673319516275750021623013659198738597816617900699042866522463646896586641
Info:Square Root: Total cpu/real time for sqrt: 495.37/155.735
Info:Quadratic Characters: Total cpu/real time for characters: 60.61/24.5883
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 356.33/347.089
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 283.20000000000005s
Info:Square Root: Total cpu/real time for sqrt: 495.37/155.735
Info:Linear Algebra: Total cpu/real time for bwc: 46070.4/11816
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 29466.96, WCT time 7520.44, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (52480 iterations)
Info:Linear Algebra: Lingen CPU time 326.81, WCT time 83.02
Info:Linear Algebra: Mksol: CPU time 15973.15,  WCT time 4095.59, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (26368 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 239.52/285.999
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23619200
Info:Lattice Sieving: Average J: 1893.82 for 1438844 special-q, max bucket fill -bkmult 1.0,1s:1.181380
Info:Lattice Sieving: Total time: 246439s
Info:Generate Free Relations: Total cpu/real time for freerel: 119.21/32.5128
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 98.16/111.55
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 111.10000000000001s
Info:Filtering - Merging: Merged matrix has 1674092 rows and total weight 285435855 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 431.45/120.1
Info:Filtering - Merging: Total cpu/real time for replay: 64.86/54.9864
Info:Generate Factor Base: Total cpu/real time for makefb: 3.57/1.91361
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 508180/136041
Info:root: Cleaning up computation data in /tmp/cado.808u9dsk
22585053194676123042305512214978721102553971601069 4066498985673319516275750021623013659198738597816617900699042866522463646896586641
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 8, 2022 19:31:31 UTC 2022 年 6 月 9 日 (木) 4 時 31 分 31 秒 (日本時間)

23×10184+229

c127

name 名前Ignacio Santos
date 日付June 3, 2022 11:17:10 UTC 2022 年 6 月 3 日 (金) 20 時 17 分 10 秒 (日本時間)
composite number 合成数
2495001508444382264974209020229648986452220198904604860001883127961099380341713434846947730971701322451585557831124330629262749<127>
prime factors 素因数
182529529419993963301467772733570864291<39>
13669029424293712074284224741513452694216519552334263693729625649820051817820845829429439<89>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3149322238
Step 1 took 4781ms
Step 2 took 2938ms
********** Factor found in step 2: 182529529419993963301467772733570864291
Found prime factor of 39 digits: 182529529419993963301467772733570864291
Prime cofactor 13669029424293712074284224741513452694216519552334263693729625649820051817820845829429439 has 89 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 JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10187+229

c183

name 名前Bob Backstrom
date 日付June 11, 2022 03:42:06 UTC 2022 年 6 月 11 日 (土) 12 時 42 分 6 秒 (日本時間)
composite number 合成数
685466325721676829450017583701398947362146761320625383712127985503877355172886528500497708158241391437035447549904928800910776126698019300347501624257163123103791522867752683749679619<183>
prime factors 素因数
49988788919458860651760497497068461696494618614127819516955716101<65>
13712401131103400799510737475228463445586031112181050807048781163494009468510707706092401535391321693434297682291503719<119>
factorization results 素因数分解の結果
Number: n
N=685466325721676829450017583701398947362146761320625383712127985503877355172886528500497708158241391437035447549904928800910776126698019300347501624257163123103791522867752683749679619  ( 183 digits)
SNFS difficulty: 188 digits.
Divisors found:

Sat Jun 11 13:38:29 2022  p65 factor: 49988788919458860651760497497068461696494618614127819516955716101
Sat Jun 11 13:38:29 2022  p119 factor: 13712401131103400799510737475228463445586031112181050807048781163494009468510707706092401535391321693434297682291503719
Sat Jun 11 13:38:29 2022  elapsed time 00:34:24 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.343).
Factorization parameters were as follows:
#
# N = 23x10^187+22 = 25(186)8
#
n: 685466325721676829450017583701398947362146761320625383712127985503877355172886528500497708158241391437035447549904928800910776126698019300347501624257163123103791522867752683749679619
m: 10000000000000000000000000000000000000
deg: 5
c5: 1150
c0: 11
skew: 0.39
# Murphy_E = 3.734e-11
type: snfs
lss: 1
rlim: 9500000
alim: 9500000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9500000/9500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3343213 hash collisions in 28205153 relations (26467995 unique)
Msieve: matrix is 1205902 x 1206128 (418.6 MB)

Sieving start time : 2022/06/11 08:40:30
Sieving end time  : 2022/06/11 13:03:38

Total sieving time: 4hrs 23min 8secs.

Total relation processing time: 0hrs 25min 7sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 33sec.

Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,9500000,9500000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117895] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154151] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798644)
[    0.152036] smpboot: Total of 16 processors activated (102389.15 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10191+229

c170

name 名前Bob Backstrom
date 日付June 24, 2022 06:33:45 UTC 2022 年 6 月 24 日 (金) 15 時 33 分 45 秒 (日本時間)
composite number 合成数
24517497796167369811050428740520347664945018980516035727217238524943997033038269599511560269238301468573901489449159899859375583529125794769394317932624965800612932359753<170>
prime factors 素因数
121707152625128813613110719065867650616579207092262949<54>
201446646867862510234437753961269456144991611717918871464236672178007209322001335871619792085059347399315214699981397<117>
factorization results 素因数分解の結果
Number: n
N=24517497796167369811050428740520347664945018980516035727217238524943997033038269599511560269238301468573901489449159899859375583529125794769394317932624965800612932359753  ( 170 digits)
SNFS difficulty: 192 digits.
Divisors found:

Fri Jun 24 11:57:51 2022  p54 factor: 121707152625128813613110719065867650616579207092262949
Fri Jun 24 11:57:51 2022  p117 factor: 201446646867862510234437753961269456144991611717918871464236672178007209322001335871619792085059347399315214699981397
Fri Jun 24 11:57:51 2022  elapsed time 00:41:07 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 23x10^191+22 = 25(190)8
#
n: 24517497796167369811050428740520347664945018980516035727217238524943997033038269599511560269238301468573901489449159899859375583529125794769394317932624965800612932359753
m: 100000000000000000000000000000000000000
deg: 5
c5: 115
c0: 11
skew: 0.63
# Murphy_E = 3.291e-11
type: snfs
lss: 1
rlim: 11100000
alim: 11100000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11100000/11100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 11150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3146607 hash collisions in 28732459 relations (27307533 unique)
Msieve: matrix is 1328465 x 1328691 (463.1 MB)

Sieving start time : 2022/06/24 08:02:12
Sieving end time  : 2022/06/24 11:15:49

Total sieving time: 3hrs 13min 37secs.

Total relation processing time: 0hrs 31min 23sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 37sec.

Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,11100000,11100000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116178] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.13 BogoMIPS (lpj=12798268)
[    0.152034] smpboot: Total of 16 processors activated (102386.14 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 22, 2022 16:54:11 UTC 2022 年 6 月 23 日 (木) 1 時 54 分 11 秒 (日本時間)

23×10192+229

c176

name 名前Bob Backstrom
date 日付June 28, 2022 08:17:46 UTC 2022 年 6 月 28 日 (火) 17 時 17 分 46 秒 (日本時間)
composite number 合成数
69309542537334797427502428616510222425366983780970592079937159162129131263552835129701217323621844556958248796259819717126071217255303786957649523036397691515456171061141738667<176>
prime factors 素因数
1187378036362339840174854502362432440991326447583449<52>
58371925717669518347283607781320320626890168546435335421602909694927144904805981019428454614394858086748678493880129446907683<125>
factorization results 素因数分解の結果
Number: n
N=69309542537334797427502428616510222425366983780970592079937159162129131263552835129701217323621844556958248796259819717126071217255303786957649523036397691515456171061141738667  ( 176 digits)
SNFS difficulty: 193 digits.
Divisors found:

Tue Jun 28 14:56:24 2022  p52 factor: 1187378036362339840174854502362432440991326447583449
Tue Jun 28 14:56:24 2022  p125 factor: 58371925717669518347283607781320320626890168546435335421602909694927144904805981019428454614394858086748678493880129446907683
Tue Jun 28 14:56:24 2022  elapsed time 01:00:32 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 23x10^192+22 = 25(191)8
#
n: 69309542537334797427502428616510222425366983780970592079937159162129131263552835129701217323621844556958248796259819717126071217255303786957649523036397691515456171061141738667
m: 100000000000000000000000000000000000000
deg: 5
c5: 1150
c0: 11
skew: 0.39
# Murphy_E = 2.325e-11
type: snfs
lss: 1
rlim: 11600000
alim: 11600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11600000/11600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3425469 hash collisions in 28036732 relations (26175801 unique)
Msieve: matrix is 1572457 x 1572682 (546.9 MB)

Sieving start time : 2022/06/28 08:56:55
Sieving end time  : 2022/06/28 13:55:22

Total sieving time: 4hrs 58min 27secs.

Total relation processing time: 0hrs 48min 28sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 16sec.

Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,11600000,11600000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116178] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.13 BogoMIPS (lpj=12798268)
[    0.152034] smpboot: Total of 16 processors activated (102386.14 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 26, 2022 16:45:03 UTC 2022 年 6 月 27 日 (月) 1 時 45 分 3 秒 (日本時間)

23×10195+229

c170

name 名前Bob Backstrom
date 日付August 16, 2022 08:53:15 UTC 2022 年 8 月 16 日 (火) 17 時 53 分 15 秒 (日本時間)
composite number 合成数
55494132289381503216245034297803275862270684092872062028332457202494714574552742128270269275069705075975519175734785159638703284565950691511115133590110392697099187435043<170>
prime factors 素因数
26585627191797607107838527521353232128670878181536573<53>
2087373447653811994571534849598556256309264177795313689753621412020355237279686122291330872416452026692128470111495391<118>
factorization results 素因数分解の結果
Number: n
N=55494132289381503216245034297803275862270684092872062028332457202494714574552742128270269275069705075975519175734785159638703284565950691511115133590110392697099187435043  ( 170 digits)
SNFS difficulty: 196 digits.
Divisors found:

Tue Aug 16 18:48:59 2022  p53 factor: 26585627191797607107838527521353232128670878181536573
Tue Aug 16 18:48:59 2022  p118 factor: 2087373447653811994571534849598556256309264177795313689753621412020355237279686122291330872416452026692128470111495391
Tue Aug 16 18:48:59 2022  elapsed time 01:05:56 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# N = 23x10^195+22 = 25(194)8
#
n: 55494132289381503216245034297803275862270684092872062028332457202494714574552742128270269275069705075975519175734785159638703284565950691511115133590110392697099187435043
m: 1000000000000000000000000000000000000000
deg: 5
c5: 23
c0: 22
skew: 0.99
# Murphy_E = 2.247e-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, 19350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3296699 hash collisions in 27880156 relations (26166803 unique)
Msieve: matrix is 1654728 x 1654953 (577.3 MB)

Sieving start time : 2022/08/16 11:28:00
Sieving end time  : 2022/08/16 17:42:34

Total sieving time: 6hrs 14min 34secs.

Total relation processing time: 0hrs 53min 52sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 8sec.

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) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJuly 26, 2022 09:39:21 UTC 2022 年 7 月 26 日 (火) 18 時 39 分 21 秒 (日本時間)

23×10197+229

c146

name 名前Bob Backstrom
date 日付October 25, 2022 21:58:12 UTC 2022 年 10 月 26 日 (水) 6 時 58 分 12 秒 (日本時間)
composite number 合成数
15760606461084528643824962506632304673285499804996128784364886501968040745829172644139761159602235929206370787205418979999111322874747723481389473<146>
prime factors 素因数
387691886461038094352753556000809890290437753<45>
40652402104547069748791991313458645834672236585828836692686922079814914280673614435751773527595547241<101>
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 15760606461084528643824962506632304673285499804996128784364886501968040745829172644139761159602235929206370787205418979999111322874747723481389473 (146 digits)
Using B1=28130000, B2=144287213086, polynomial Dickson(12), sigma=1:274792716
Step 1 took 54543ms
Step 2 took 22434ms
********** Factor found in step 2: 387691886461038094352753556000809890290437753
Found prime factor of 45 digits: 387691886461038094352753556000809890290437753
Prime cofactor 40652402104547069748791991313458645834672236585828836692686922079814914280673614435751773527595547241 has 101 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosAugust 19, 2022 15:57:03 UTC 2022 年 8 月 20 日 (土) 0 時 57 分 3 秒 (日本時間)

23×10198+229

c186

name 名前Bob Backstrom
date 日付August 26, 2022 11:18:49 UTC 2022 年 8 月 26 日 (金) 20 時 18 分 49 秒 (日本時間)
composite number 合成数
149689449212358155193444450328688258683067943820878412360860497709709690319787226647923238812090820501569025863841142811072007931289256513323302878780728489380567781141213130183408049759<186>
prime factors 素因数
1427903268191838604120423787511611874744516743940912128503769298269241751126719347822423<88>
104831645495083633812385457299254853232240285913699261832005018710928660276109732508249921714072633<99>
factorization results 素因数分解の結果
Number: n
N=149689449212358155193444450328688258683067943820878412360860497709709690319787226647923238812090820501569025863841142811072007931289256513323302878780728489380567781141213130183408049759  ( 186 digits)
SNFS difficulty: 199 digits.
Divisors found:

Fri Aug 26 21:12:50 2022  p88 factor: 1427903268191838604120423787511611874744516743940912128503769298269241751126719347822423
Fri Aug 26 21:12:50 2022  p99 factor: 104831645495083633812385457299254853232240285913699261832005018710928660276109732508249921714072633
Fri Aug 26 21:12:50 2022  elapsed time 01:35:35 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.334).
Factorization parameters were as follows:
#
# N = 23x10^198+22 = 25(197)8
#
n: 149689449212358155193444450328688258683067943820878412360860497709709690319787226647923238812090820501569025863841142811072007931289256513323302878780728489380567781141213130183408049759
m: 1000000000000000000000000000000000000000
deg: 5
c5: 11500
c0: 11
skew: 0.25
# Murphy_E = 1.315e-11
type: snfs
lss: 1
rlim: 14500000
alim: 14500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14500000/14500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3727670 hash collisions in 27594113 relations (25291411 unique)
Msieve: matrix is 2070950 x 2071175 (728.3 MB)

Sieving start time : 2022/08/26 10:56:26
Sieving end time  : 2022/08/26 19:36:44

Total sieving time: 8hrs 40min 18secs.

Total relation processing time: 1hrs 24min 11sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 23sec.

Prototype def-par.txt line would be:
snfs,199,5,0,0,0,0,0,0,0,0,14500000,14500000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10200+229

c134

name 名前Eric Jeancolas
date 日付June 6, 2022 21:00:53 UTC 2022 年 6 月 7 日 (火) 6 時 0 分 53 秒 (日本時間)
composite number 合成数
57644761326873638816212375578598639729609928465336861393320507614741396922433695412329919801341156142498246639732374826939871458854799<134>
prime factors 素因数
55549483969949686259675205856511739178777724767<47>
1037719114691640048124087839788283997244673815801449150415560640903171499592596136697297<88>
factorization results 素因数分解の結果
57644761326873638816212375578598639729609928465336861393320507614741396922433695412329919801341156142498246639732374826939871458854799=55549483969949686259675205856511739178777724767*1037719114691640048124087839788283997244673815801449150415560640903171499592596136697297

cado polynomial
n: 57644761326873638816212375578598639729609928465336861393320507614741396922433695412329919801341156142498246639732374826939871458854799
skew: 51813.949
c0: 229303546847042129421992796100
c1: 70691313231185362672576937
c2: 4537054754131194012992
c3: -64003318604997749
c4: -864354203160
c5: 5292000
Y0: -58065475401229648212050776
Y1: 3486022087608117083
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.278e-07
# f(x) = 5292000*x^5-864354203160*x^4-64003318604997749*x^3+4537054754131194012992*x^2+70691313231185362672576937*x+229303546847042129421992796100
# g(x) = 3486022087608117083*x-58065475401229648212050776

cado parameters (extracts)
tasks.lim0 = 3341873
tasks.lim1 = 16407032
tasks.lpb0 = 27
tasks.lpb1 = 28
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 62
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1037719114691640048124087839788283997244673815801449150415560640903171499592596136697297 55549483969949686259675205856511739178777724767
Info:Square Root: Total cpu/real time for sqrt: 476.16/139.222
Info:Generate Free Relations: Total cpu/real time for freerel: 248.05/62.8936
Info:Filtering - Singleton removal: Total cpu/real time for purge: 89.91/101.145
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17023750
Info:Lattice Sieving: Average J: 3795.57 for 609801 special-q, max bucket fill -bkmult 1.0,1s:1.307960
Info:Lattice Sieving: Total time: 203868s
Info:Generate Factor Base: Total cpu/real time for makefb: 15.22/4.04844
Info:Linear Algebra: Total cpu/real time for bwc: 26226.2/6730.42
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 16669.59, WCT time 4263.95, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (40448 iterations)
Info:Linear Algebra: Lingen CPU time 240.86, WCT time 61.15
Info:Linear Algebra: Mksol: CPU time 9093.62,  WCT time 2323.49, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (20224 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 77.26/89.5863
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 89.5s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6431.95
Info:Polynomial Selection (root optimized): Rootsieve time: 6429.45
Info:Filtering - Merging: Merged matrix has 1293545 rows and total weight 221139425 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 338.88/94.9636
Info:Filtering - Merging: Total cpu/real time for replay: 47.83/40.1984
Info:Quadratic Characters: Total cpu/real time for characters: 43.49/18.0486
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 53395.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 54290/38.860/48.069/52.990/0.969
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 44310/38.810/42.886/48.680/1.025
Info:Polynomial Selection (size optimized): Total time: 11217.7
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 198.65/165.923
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 152.8s
Info:Square Root: Total cpu/real time for sqrt: 476.16/139.222
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 429907/59143.3
Info:root: Cleaning up computation data in /tmp/cado.ocglgh0s
1037719114691640048124087839788283997244673815801449150415560640903171499592596136697297 55549483969949686259675205856511739178777724767
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 3, 2022 11:43:05 UTC 2022 年 6 月 3 日 (金) 20 時 43 分 5 秒 (日本時間)
4511e64480Ignacio SantosJune 5, 2022 13:04:56 UTC 2022 年 6 月 5 日 (日) 22 時 4 分 56 秒 (日本時間)

23×10201+229

c195

composite cofactor 合成数の残り
355351169922656736362773127157966542173246796980429698668696926950892600423708374975082930465531971670910332138086498222178096876948347977046044828693389507246274706910217560509274464684320080187<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosNovember 7, 2022 09:05:44 UTC 2022 年 11 月 7 日 (月) 18 時 5 分 44 秒 (日本時間)

23×10202+229

c143

name 名前Dmitry Domanov
date 日付September 1, 2022 17:17:23 UTC 2022 年 9 月 2 日 (金) 2 時 17 分 23 秒 (日本時間)
composite number 合成数
85351702201392864968014782876340211394255986770939555237526284879821798503168114604483237620342206896433027969344145304841034175500176000354223<143>
prime factors 素因数
16045257237819743299731018126912121726557037<44>
5319434954287501262195104128307071511099386694053293109982187261593085662193833198777764864872595979<100>
factorization results 素因数分解の結果
Resuming ECM residue saved by @f92c91b240aa with GMP-ECM 7.0.5-dev on Sat Aug 27 21:03:54 2022 
Input number is 85351702201392864968014782876340211394255986770939555237526284879821798503168114604483237620342206896433027969344145304841034175500176000354223 (143 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3243723044
Step 1 took 0ms
Step 2 took 3461ms
********** Factor found in step 2: 16045257237819743299731018126912121726557037
Found prime factor of 44 digits: 16045257237819743299731018126912121726557037
Prime cofactor 5319434954287501262195104128307071511099386694053293109982187261593085662193833198777764864872595979 has 100 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10204+229

c166

composite cofactor 合成数の残り
7115534290318745354842506792315798892098239634215126217621568900383127821582848288315611719471778989761251804282048343459698052254105213076238560321084682179893106233<166>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10205+229

c191

composite cofactor 合成数の残り
41343922462329806323451241461762764515721518331316365267356271679188203368819250751773595247927606908138628158204993345840909345483222475367996902259031352508356205578089593567018352084158031<191>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10207+229

c138

name 名前Ignacio Santos
date 日付June 3, 2022 12:23:19 UTC 2022 年 6 月 3 日 (金) 21 時 23 分 19 秒 (日本時間)
composite number 合成数
160025075697253558194611491501391557345651252676533572451621800046113612807660323869225485492046880723007385109882498232021853786685533867<138>
prime factors 素因数
1483239928620622725496584042366474436133<40>
107888867208471801183166833788682661043012833212651654259664567933948062750105402078550516676089999<99>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3702540313
Step 1 took 5860ms
Step 2 took 3359ms
********** Factor found in step 2: 1483239928620622725496584042366474436133
Found prime factor of 40 digits: 1483239928620622725496584042366474436133
Prime cofactor 107888867208471801183166833788682661043012833212651654259664567933948062750105402078550516676089999 has 99 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 JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10208+229

c189

composite cofactor 合成数の残り
125158187797921868569459574745218914650614444822334531577252238707221976643158163375061758021689531067303251976799922231570563141135350792928200462191704431611424259068189850297380026022069<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10209+229

c176

composite cofactor 合成数の残り
10709892390711151660606937318029354188723542265503181652535501197492761787995277889371931125120596750989826162344748740187913936387765179759732278554943220462838513216407333347<176>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10211+229

c198

composite cofactor 合成数の残り
382089052174723057321518669949858473642080948261389302431643019774300363055068765201332040204945797773495481949399071405555559469039378573035353003889011380784930061327219061406099048952030815333977<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10212+229

c192

composite cofactor 合成数の残り
536805456878469288575079197081193969229690148227768810412074388477499439306787510569405011395068389163580269897294353652607910339419896610318245311163814344735617072631241676524955136225622023<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10213+229

c157

composite cofactor 合成数の残り
8586387392519033538873741415984802155581089552045365412153979896047459990017022797045866972118856227385427820354872562334205530287148836508887701553673337687<157>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10214+229

c135

name 名前Florian Baur
date 日付June 11, 2022 05:18:54 UTC 2022 年 6 月 11 日 (土) 14 時 18 分 54 秒 (日本時間)
composite number 合成数
584726963535161798669640554910006442161788392525558304742408245417222970672655402790067479510756101360135112999247927734424801060321263<135>
prime factors 素因数
7434218945499751922869073805148951871446124973111868787<55>
78653449383424715116456485536627070660862784270304283175008901276206172675456149<80>
factorization results 素因数分解の結果
skew: 62022.725
c0: 81734323805412126377959440092
c1: -6891535498579025918427711
c2: -9346965048023055517
c3: 5838768760697380
c4: 4136677528
c5: -178080
Y0: -91991577630459715755257370
Y1: 10728569903770711117

PID225504 2022-06-10 22:10:35,221 Info:Square Root: Total cpu/real time for sqrt: 4326.33/172.96
PID225504 2022-06-10 22:10:35,221 Info:HTTP server: Got notification to stop serving Workunits
PID225504 2022-06-10 22:10:35,221 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1541.19/352.621
PID225504 2022-06-10 22:10:35,222 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
PID225504 2022-06-10 22:10:35,222 Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 310.4s
PID225504 2022-06-10 22:10:35,222 Info:Polynomial Selection (root optimized): Aggregate statistics:
PID225504 2022-06-10 22:10:35,222 Info:Polynomial Selection (root optimized): Total time: 1117.25
PID225504 2022-06-10 22:10:35,222 Info:Polynomial Selection (root optimized): Rootsieve time: 1116.86
PID225504 2022-06-10 22:10:35,222 Info:Lattice Sieving: Aggregate statistics:
PID225504 2022-06-10 22:10:35,222 Info:Lattice Sieving: Total number of relations: 71115279
PID225504 2022-06-10 22:10:35,222 Info:Lattice Sieving: , max bucket fill -bkmult 1.0,1s:1.082310
PID225504 2022-06-10 22:10:35,223 Info:Lattice Sieving: Total time: 137683s
PID225504 2022-06-10 22:10:35,223 Warning:Lattice Sieving: some stats could not be displayed for sieving (see log file for debug info)
PID225504 2022-06-10 22:10:35,223 Debug:Lattice Sieving: KeyError with "Average J: {stats_avg_J[0]:g} for {stats_avg_J[1]:d} special-q"
PID225504 2022-06-10 22:10:35,223 Debug:Lattice Sieving: (registered stats: {'stats_max_bucket_fill': ['1.0,1s:1.082310'], 'stats_total_cpu_time': [271048.69000000006], 'stats_total_time': [137682.60999999996]})
PID225504 2022-06-10 22:10:35,223 Info:Linear Algebra: Total cpu/real time for bwc: 45039.6/2659.91
PID225504 2022-06-10 22:10:35,223 Info:Linear Algebra: Aggregate statistics:
PID225504 2022-06-10 22:10:35,223 Info:Linear Algebra: Krylov: CPU time 24520.3, WCT time 1560.96, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (54000 iterations)
PID225504 2022-06-10 22:10:35,223 Info:Linear Algebra: Lingen CPU time 6450.61, WCT time 140.73
PID225504 2022-06-10 22:10:35,224 Info:Linear Algebra: Mksol: CPU time 12075.62,  WCT time 795.56, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (26000 iterations)
PID225504 2022-06-10 22:10:35,224 Info:Polynomial Selection (size optimized): Aggregate statistics:
PID225504 2022-06-10 22:10:35,224 Info:Polynomial Selection (size optimized): potential collisions: 53521.2
PID225504 2022-06-10 22:10:35,224 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 36493/39.280/49.186/59.990/1.453
PID225504 2022-06-10 22:10:35,224 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30143/38.730/43.244/49.130/0.999
PID225504 2022-06-10 22:10:35,224 Info:Polynomial Selection (size optimized): Total time: 7999.28
PID225504 2022-06-10 22:10:35,225 Info:Filtering - Merging: Total cpu/real time for merge: 313.58/35.0121
PID225504 2022-06-10 22:10:35,225 Info:Filtering - Merging: Total cpu/real time for replay: 52.92/39.7272
PID225504 2022-06-10 22:10:35,225 Info:Generate Factor Base: Total cpu/real time for makefb: 19.96/2.1686
PID225504 2022-06-10 22:10:35,225 Info:Quadratic Characters: Total cpu/real time for characters: 87.29/16.7648
PID225504 2022-06-10 22:10:35,225 Info:Filtering - Singleton removal: Total cpu/real time for purge: 507.52/121.49
PID225504 2022-06-10 22:10:35,225 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 464.52/127.825
PID225504 2022-06-10 22:10:35,225 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
PID225504 2022-06-10 22:10:35,226 Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 127.7s
PID225504 2022-06-10 22:10:35,226 Info:Generate Free Relations: Total cpu/real time for freerel: 920.07/46.1506
PID225504 2022-06-10 22:10:35,226 Info:Square Root: Total cpu/real time for sqrt: 4326.33/172.96
PID225504 2022-06-10 22:10:35,227 Info:HTTP server: Shutting down HTTP server
PID225504 2022-06-10 22:10:35,439 Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 333438/18198.3
7434218945499751922869073805148951871446124973111868787 78653449383424715116456485536627070660862784270304283175008901276206172675456149
software ソフトウェア
CADO
execution environment 実行環境
Epyc 7401P, 128 GB, Ubuntu

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 3, 2022 11:52:04 UTC 2022 年 6 月 3 日 (金) 20 時 52 分 4 秒 (日本時間)
4511e64480Ignacio SantosJune 5, 2022 13:05:11 UTC 2022 年 6 月 5 日 (日) 22 時 5 分 11 秒 (日本時間)

23×10216+229

c190

composite cofactor 合成数の残り
1319883449121275053519067143585314772338029727131108660510245841431121668549752584562649015797138026056804514620856459820247238345824662395311875389313378269667724255062855411612832590922211<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10219+229

c158

name 名前Erik Branger
date 日付August 15, 2022 15:53:22 UTC 2022 年 8 月 16 日 (火) 0 時 53 分 22 秒 (日本時間)
composite number 合成数
87152277699710641615675434488749653028776501636898219548937656481258683630784092830207954769571193924085442548194727893747237655227941080092929092212162242871<158>
prime factors 素因数
12871427044666471555418777991872313854924538204637<50>
6770987971828958822506204104034142524698041678406965007870708909211195457344072935510214006458256084152834083<109>
factorization results 素因数分解の結果
Number: 25558_219
N = 87152277699710641615675434488749653028776501636898219548937656481258683630784092830207954769571193924085442548194727893747237655227941080092929092212162242871 (158 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=12871427044666471555418777991872313854924538204637 (pp50)
r2=6770987971828958822506204104034142524698041678406965007870708909211195457344072935510214006458256084152834083 (pp109)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 76.36 hours.
Factorization parameters were as follows:
n: 87152277699710641615675434488749653028776501636898219548937656481258683630784092830207954769571193924085442548194727893747237655227941080092929092212162242871
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 23
c0: 220
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
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: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30280814
Relations: 8974566 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 25.07 hours.
Total relation processing time: 0.37 hours.
Pruned matrix : 7634493 x 7634718
Matrix solve time: 50.69 hours.
time per square root: 0.23 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 76.36 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-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 JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10220+229

c155

name 名前Erik Branger
date 日付August 15, 2022 15:53:41 UTC 2022 年 8 月 16 日 (火) 0 時 53 分 41 秒 (日本時間)
composite number 合成数
26834559288208158470543253812163563406220494685647869755522993024510954755891680769194507561154434776386112864403028894594194302614351627650856604499095361<155>
prime factors 素因数
155167749204898291146677722831797502118268519411640956356617963<63>
172939025188625039194334953186811547964296431575028985216314444129814533533034220530732879747<93>
factorization results 素因数分解の結果
Number: 25558_220
N = 26834559288208158470543253812163563406220494685647869755522993024510954755891680769194507561154434776386112864403028894594194302614351627650856604499095361 (155 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=155167749204898291146677722831797502118268519411640956356617963 (pp63)
r2=172939025188625039194334953186811547964296431575028985216314444129814533533034220530732879747 (pp93)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 48.76 hours.
Factorization parameters were as follows:
n: 26834559288208158470543253812163563406220494685647869755522993024510954755891680769194507561154434776386112864403028894594194302614351627650856604499095361
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 23
c0: 22
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
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: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30062148
Relations: 6751704 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 16.59 hours.
Total relation processing time: 0.40 hours.
Pruned matrix : 5966695 x 5966920
Matrix solve time: 30.30 hours.
time per square root: 1.47 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 48.76 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-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 JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10221+229

c159

composite cofactor 合成数の残り
235066848707107402853161616773613219414680264259275152878528220659627676549982468426700386656857988881764402065855536622266060558034680488369478996082202819873<159>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10223+229

c210

composite cofactor 合成数の残り
106134863917147246471921747610008342523397176335485742644855200025186963829746197114980924709208772973908849435576824476834926991338021249488170254291257079195854791544310818597908803401791702010276078968720413<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10224+229

c224

composite cofactor 合成数の残り
14197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197531<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10225+229

c139

name 名前Eric Jeancolas
date 日付August 22, 2022 04:07:04 UTC 2022 年 8 月 22 日 (月) 13 時 7 分 4 秒 (日本時間)
composite number 合成数
2321147237703946470914379673976633362224538440632796613903383002415251119007578268568520342076474552041029886434539904536991798728807665441<139>
prime factors 素因数
318742291380430436877649687388980418288337113942190240309732527<63>
7282206661850132115394134963988575964206237882505129967849737591629581819183<76>
factorization results 素因数分解の結果
2321147237703946470914379673976633362224538440632796613903383002415251119007578268568520342076474552041029886434539904536991798728807665441=318742291380430436877649687388980418288337113942190240309732527*7282206661850132115394134963988575964206237882505129967849737591629581819183

cado polynomial
n: 2321147237703946470914379673976633362224538440632796613903383002415251119007578268568520342076474552041029886434539904536991798728807665441
skew: 174449.619
c0: -18258525702629447044097510910688
c1: 806086399733058945794452319
c2: 2987465253914275168385
c3: 5937167590327212
c4: -143087210736
c5: -279720
Y0: -439095108763508200480020382
Y1: 14401843419497948999
# MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=2.023e+14) = 3.034e-07
# f(x) = -279720*x^5-143087210736*x^4+5937167590327212*x^3+2987465253914275168385*x^2+806086399733058945794452319*x-18258525702629447044097510910688
# g(x) = 14401843419497948999*x-439095108763508200480020382

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: 318742291380430436877649687388980418288337113942190240309732527 7282206661850132115394134963988575964206237882505129967849737591629581819183
Info:Square Root: Total cpu/real time for sqrt: 2501.98/724.896
Info:Filtering - Singleton removal: Total cpu/real time for purge: 162.23/174.861
Info:Filtering - Merging: Merged matrix has 1616208 rows and total weight 276405166 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 394.59/111.174
Info:Filtering - Merging: Total cpu/real time for replay: 64.22/54.2233
Info:Generate Factor Base: Total cpu/real time for makefb: 11.73/3.24556
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 32844721
Info:Lattice Sieving: Average J: 3803.43 for 685607 special-q, max bucket fill -bkmult 1.0,1s:1.210220
Info:Lattice Sieving: Total time: 250029s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6910.91
Info:Polynomial Selection (root optimized): Rootsieve time: 6908.38
Info:Linear Algebra: Total cpu/real time for bwc: 42039.2/10812.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 26851.73, WCT time 6860.85, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (50688 iterations)
Info:Linear Algebra: Lingen CPU time 325.79, WCT time 82.78
Info:Linear Algebra: Mksol: CPU time 14569.03,  WCT time 3758.83, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (25344 iterations)
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): 66516/39.870/49.783/55.600/0.954
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 54614/39.840/44.421/50.450/1.034
Info:Polynomial Selection (size optimized): Total time: 22843.7
Info:Generate Free Relations: Total cpu/real time for freerel: 497.57/125.437
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 387.89/321.203
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 301.0s
Info:Square Root: Total cpu/real time for sqrt: 2501.98/724.896
Info:Quadratic Characters: Total cpu/real time for characters: 61.96/27.5596
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 149.3/156.687
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 156.6s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 543578/146127
Info:root: Cleaning up computation data in /tmp/cado.2d348ju2
318742291380430436877649687388980418288337113942190240309732527 7282206661850132115394134963988575964206237882505129967849737591629581819183
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 3, 2022 12:47:29 UTC 2022 年 6 月 3 日 (金) 21 時 47 分 29 秒 (日本時間)
4511e64480Ignacio SantosJune 4, 2022 19:38:59 UTC 2022 年 6 月 5 日 (日) 4 時 38 分 59 秒 (日本時間)
5043e66454Ignacio SantosJune 20, 2022 17:58:09 UTC 2022 年 6 月 21 日 (火) 2 時 58 分 9 秒 (日本時間)

23×10226+229

c223

composite cofactor 合成数の残り
6260547661821547171865643203222821057215961674560400675050356579018999401165006260547661821547171865643203222821057215961674560400675050356579018999401165006260547661821547171865643203222821057215961674560400675050356579019<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10227+229

c210

composite cofactor 合成数の残り
822612198594855321490173194108382054437739995381743110172021857821934533378053032756721634513425607835014481131760193280043583678358424737937490750569050776591287807400225388451717637481433519278744293700662637<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10228+229

c205

name 名前Dmitry Domanov
date 日付August 27, 2022 22:31:31 UTC 2022 年 8 月 28 日 (日) 7 時 31 分 31 秒 (日本時間)
composite number 合成数
9412744629758800646662073223143125549353931382937818567059878471536766134355091963066168068224468152881965244948560261476953618341648279421940859191721639974196546822182797546187910287723213836954267935977<205>
prime factors 素因数
50417286468880265879821383254255479<35>
composite cofactor 合成数の残り
186696771861547022132757207661765017467622191789724997229833999586713074662072452904355233886607629766350703641104026859369920866341858545233908876541171907464626140655263<171>
factorization results 素因数分解の結果
GPU: factor 50417286468880265879821383254255479 found in Step 1 with curve 1118 (-sigma 3:-638604444)
Computing 1792 Step 1 took 272ms of CPU time / 175386ms of GPU time
Throughput: 10.217 curves per second (on average 97.87ms per Step 1)
********** Factor found in step 1: 50417286468880265879821383254255479
Found prime factor of 35 digits: 50417286468880265879821383254255479
Composite cofactor 186696771861547022132757207661765017467622191789724997229833999586713074662072452904355233886607629766350703641104026859369920866341858545233908876541171907464626140655263 has 171 digits
Peak memory usage: 9428MB

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 27, 2022 22:31:23 UTC 2022 年 8 月 28 日 (日) 7 時 31 分 23 秒 (日本時間)

23×10230+229

c163

composite cofactor 合成数の残り
1073917478947319596530516718506989465635319519697709171930832574013755802574342366769147302851641793644801495150569940324106207616879799570926588617876037801577317<163>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10231+229

c208

composite cofactor 合成数の残り
9847914128087878315099488454798359192557686667521902247254736087531881424004532410396628754383596566046415211395614681552836672605743338542196120205703238057961496448155928470597252045366304995364073132606201<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10232+229

c194

composite cofactor 合成数の残り
19597315963021763931201922366797571321455805867072302582873205926388327142982156283024687871952332681379026435105943853864154247955165632050939958535120533362258265564954648931342159265373530437<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10233+229

c208

composite cofactor 合成数の残り
1919850376005643880288158468281425943580858112052596477641310786394543571780547713786530548370642781780884507646071688329161019267298332720112670395032186212936506814341234783969056154406474905845617465985067<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10234+229

c163

composite cofactor 合成数の残り
3642425913597944554023536319216163292283110302674821373131942337578776064888998076043178729008462117063044142869804558286091812837542807559933618969840228940834133<163>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10235+229

c187

name 名前Dmitry Domanov
date 日付August 29, 2022 22:15:01 UTC 2022 年 8 月 30 日 (火) 7 時 15 分 1 秒 (日本時間)
composite number 合成数
4725070531343322145467590934926052623475174750817348921086456846135730724432557484014971415964786314916004317228393214218032647437538215734197894348183800186011467051712161048054030816827<187>
prime factors 素因数
1075315346309328670617833275363649453<37>
4394125451255387515973174965148852631252379132338217116205670779669015967628407042059987531875010019580994699438394675672188104878926240491314159194759<151>
factorization results 素因数分解の結果
Resuming ECM residue saved by @f92c91b240aa with GMP-ECM 7.0.5-dev on Sat Aug 27 22:02:58 2022 
Input number is 4725070531343322145467590934926052623475174750817348921086456846135730724432557484014971415964786314916004317228393214218032647437538215734197894348183800186011467051712161048054030816827 (187 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1845593681
Step 1 took 0ms
Step 2 took 6619ms
********** Factor found in step 2: 1075315346309328670617833275363649453
Found prime factor of 37 digits: 1075315346309328670617833275363649453
Prime cofactor 4394125451255387515973174965148852631252379132338217116205670779669015967628407042059987531875010019580994699438394675672188104878926240491314159194759 has 151 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10236+229

c198

composite cofactor 合成数の残り
110202749839535831833640615928391280302874492265497309779414013402652977494037699167089925918845926667876168190605583897174748786074923228671376553635499278488143919147198622450620466508287528427363<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10240+229

c232

composite cofactor 合成数の残り
8760992597393210229061004286918994025683358698654287844269117784569436367856779632375540560194916330741832484849864999160586444480458980448719802737368785023558229102718800889677731709659946544247534431754131430611514395979616150487<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10241+229

c209

composite cofactor 合成数の残り
23812304238593345537487156215407136753858952552925616039772221927602289595907914830951426389723543084918316168516222191005584008056636843362946861035352519312641641413064970066957182241951396541317342450504681<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10242+229

c184

name 名前Dmitry Domanov
date 日付August 27, 2022 22:32:27 UTC 2022 年 8 月 28 日 (日) 7 時 32 分 27 秒 (日本時間)
composite number 合成数
3158582506549921135973621673713980687114743178075578590758389089153986884078439766464606976938370162188654275842014941182414696806550428403154236388945900458373324258508464113828707331<184>
prime factors 素因数
10083987154182362292650456377288697<35>
313227541671340792681177348912057098022266970051010232610658254268316779398257275369290804150914552822786298239902336696049827551759174702385670920923<150>
factorization results 素因数分解の結果
GPU: factor 10083987154182362292650456377288697 found in Step 1 with curve 1104 (-sigma 3:851484927)
Computing 1792 Step 1 took 265ms of CPU time / 178413ms of GPU time
Throughput: 10.044 curves per second (on average 99.56ms per Step 1)
********** Factor found in step 1: 10083987154182362292650456377288697
Found prime factor of 35 digits: 10083987154182362292650456377288697
Prime cofactor 313227541671340792681177348912057098022266970051010232610658254268316779398257275369290804150914552822786298239902336696049827551759174702385670920923 has 150 digits
Peak memory usage: 9428MB

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 27, 2022 22:32:14 UTC 2022 年 8 月 28 日 (日) 7 時 32 分 14 秒 (日本時間)

23×10244+229

c170

composite cofactor 合成数の残り
24278589116279677892368115544812697148430282182293135715868460974350887668063304645145211877757602484149455104664967217951515271099113312163336551637422534994304632014677<170>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10245+229

c242

composite cofactor 合成数の残り
55100378515643716161180585501413444492357817066743328062862344880456135307364285372047338412150831297014996885630779550572564802836471659240093910210339705811892099084854582914091322888218101672176704518231038282784725216808011115902448373341<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10246+229

c199

composite cofactor 合成数の残り
1123853310242954821238939856352961963636364338817729209312661276373874037145827012812372772374269588550813790807469422146461259334617211461294305363788574323766896873467472679727262482014597247478559<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10247+229

c183

composite cofactor 合成数の残り
557114538317867425144857820265436813314642425574879117221027198025986039893709695054527435377143583271312953510425162287715118359144965924570820143789123543125397936343891499964416487<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10248+229

c207

composite cofactor 合成数の残り
768812567868794222386859060169434044080879651447611901498200440621571008535558606542946835187011141674584967292244364003214577698558672534998684354721361439078494627450831257029840726265930498733781133657329<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10249+229

c233

name 名前Dmitry Domanov
date 日付August 29, 2022 22:15:19 UTC 2022 年 8 月 30 日 (火) 7 時 15 分 19 秒 (日本時間)
composite number 合成数
49074001227547120566129035509404156513661565396402048582671380146677524333079772294979180680185013076239107491739967676341449966679646108295844069078142739162188735568320599342540030926253686728190644425204928419887726509669496959727<233>
prime factors 素因数
4849855942291040339827842346064673529<37>
10118651319025546604089296314430033250636064920232701476767987039791840994678625282769037378770582280141234682469635259257104300048769859426696180449057620463889365047831218337259911263814855290663<197>
factorization results 素因数分解の結果
Resuming ECM residue saved by @f92c91b240aa with GMP-ECM 7.0.5-dev on Sat Aug 27 22:37:01 2022 
Input number is 49074001227547120566129035509404156513661565396402048582671380146677524333079772294979180680185013076239107491739967676341449966679646108295844069078142739162188735568320599342540030926253686728190644425204928419887726509669496959727 (233 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3123880480
Step 1 took 0ms
Step 2 took 8534ms
********** Factor found in step 2: 4849855942291040339827842346064673529
Found prime factor of 37 digits: 4849855942291040339827842346064673529
Prime cofactor 10118651319025546604089296314430033250636064920232701476767987039791840994678625282769037378770582280141234682469635259257104300048769859426696180449057620463889365047831218337259911263814855290663 has 197 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10251+229

c164

composite cofactor 合成数の残り
28560117637602209940714930002550674289009495917179522157505591726763798611624202513513806332169878820352372049881887377320731800750912559519745315430471754044733233<164>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 3, 2022 15:56:49 UTC 2022 年 6 月 4 日 (土) 0 時 56 分 49 秒 (日本時間)
4511e64480Ignacio SantosJune 7, 2022 10:07:28 UTC 2022 年 6 月 7 日 (火) 19 時 7 分 28 秒 (日本時間)

23×10252+229

c249

composite cofactor 合成数の残り
149046748836787329730290187539691797244579234547740321681765750353175991808909107404383270474487084775198620993558588332879712793395284938502015371256010472154179141231514962997524527910623793045349093406949466671850901408815791179024586233264642223<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10254+229

c190

composite cofactor 合成数の残り
8619055979287867250087411503087717462401965500634303064706851119604540405901491054958064391048922071511340134270169326508896134173014993183185317790999399704349116019368078764147178807855971<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10256+229

c217

composite cofactor 合成数の残り
1264709223587283206054005193913646369051882709791745378378956867168783849109055997031617188172266547737381427500698723188316609866351948747735588802512979477631978324437471587863771669371394687637296149259791633183107<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10257+229

c246

composite cofactor 合成数の残り
899219980143524939083766516401543776733005026963358933539774941480493693759890916897691944173074928100752284613323003106649776765689588615082967129828465376443960900041066852677968089926775884443024297853678049633531765317240149146776496748166001<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10258+229

c259

composite cofactor 合成数の残り
1277777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10261+229

c237

composite cofactor 合成数の残り
659400321896648112163251499721461473037411291644719064700397430428712765104738476837571554411401060034817825281517434289470211873548595278338029064521564900650967813488638523952039214674573868701341229587625080728892563319202519848260581<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10262+229

c196

composite cofactor 合成数の残り
2522052136412549129882418064068808242873486547981437216777146660333410329593993417667341561645247244240136567928720556679240395854398621771046410270685925754250078470485796541042665496702123806959<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10263+229

c238

composite cofactor 合成数の残り
1758281761271280810494736069908906673308217725073581799621878255448749956025052520569677177045898062447941623085134073401528848482151131256318282104998356890322899648179906399535260542439010406977497536729274683705624494896068748910868509<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10264+229

c199

composite cofactor 合成数の残り
1260169052532538792012356919092732526471035248085479130120354142556286923393167181778342747162756839632066709009504793490932278113530465521785899484725773501095773900471555639335048360362935711251113<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10265+229

c252

composite cofactor 合成数の残り
106530501649980668131468057977582729620016730991005666435146135217976540793730670294696231049815425820741776730884340975185770223333268120638235233568123719596033815228126809220150439632025347746584839416795742917706563702163652993644697991818419463167<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10266+229

c244

composite cofactor 合成数の残り
1686577319989647775636959313224347507853832924510611888379238112729543051901614696863458819829843981199610858558392202545020597072068500966108632764453796169321141704234905883974046032409504963652366341810808314215131533889024420967388708209631<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10267+229

c209

composite cofactor 合成数の残り
53658531090897439186065050822824250571853854933760366675585832087267852877960705147506172409686948212290291770485125605384264152392892147735304790630359014316965340002824080634934015256092048708857662809855111<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10268+229

c248

composite cofactor 合成数の残り
34485750428109217986950095585309255921876424484072954695540422882485226433101395899700344046767027883913165026168516409145764086095262332396089186491099406209737315337887306640467782503665242141844861466026098943512288793288341475087653717597376761<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10272+229

c255

composite cofactor 合成数の残り
119037127283137146866268820895455203530415886960173032396852304238448000605433198999538630097381735750594337226811835471717044618585901250736521200880747888711968642063767831143539805174012478235751376331827471859848826745279609995906836379213435105001283<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10273+229

c210

composite cofactor 合成数の残り
175704454968047404068664450894978134324000112992950151158316139164904057629119764187999953265992111193331415658314216551346278103518099010310546584189199349713841077289927600361972299935999008813002683560787209<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10274+229

c211

composite cofactor 合成数の残り
6141851259271482247510414344824073396228039219523588625525577674772287247553555058995467963925651210132593117462856624112683843706795192809983489535242935310581325008249918189644709619544181422662627881865716479<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10277+229

c236

composite cofactor 合成数の残り
13000812138274893805852554119210596545602590973697827465616685984925193571274624770427571989567689343529056291980250828236086253100067516023481506587643744772107878544048661300019033150817721711942921067760537316021820278018412353393379<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10278+229

c216

composite cofactor 合成数の残り
291098031803896891918688026782984352543770521686656477178110460068023250294644737202145526169140401069175361872932281264915516279297778409339080298126203666897350439214390710931818587677951069612475425409406227067031<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10279+229

c269

composite cofactor 合成数の残り
86404118668540013237184160552141469652172542129271225314086685557424683486302766903316233268293158192363310625297328579693415503854251102976143352819750750357595359486377074114781506252219694619472668437526486992394862349977938363876036013080051704040382646539347120169<269>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10281+229

c202

name 名前Dmitry Domanov
date 日付August 28, 2022 01:12:14 UTC 2022 年 8 月 28 日 (日) 10 時 12 分 14 秒 (日本時間)
composite number 合成数
2934794647547022490796438162801684124330317075255021433167063884832989243106926488490914956795913556029819123863252586659869897586727612138232640691399039227363063857026301399528236682089333372916693903<202>
prime factors 素因数
3247738783244959992747441198958693847<37>
composite cofactor 合成数の残り
903642455079080860165959521958817497892766129422044339150491840820029783914091720623164175615444252191490012958415526186091447897500288061337215841585968686860458249<165>
factorization results 素因数分解の結果
GPU: factor 3247738783244959992747441198958693847 found in Step 1 with curve 628 (-sigma 3:2115041631)
Computing 1792 Step 1 took 212ms of CPU time / 175253ms of GPU time
Throughput: 10.225 curves per second (on average 97.80ms per Step 1)
********** Factor found in step 1: 3247738783244959992747441198958693847
Found prime factor of 37 digits: 3247738783244959992747441198958693847
Composite cofactor 903642455079080860165959521958817497892766129422044339150491840820029783914091720623164175615444252191490012958415526186091447897500288061337215841585968686860458249 has 165 digits
Peak memory usage: 9428MB

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e629361792Dmitry DomanovAugust 28, 2022 01:12:04 UTC 2022 年 8 月 28 日 (日) 10 時 12 分 4 秒 (日本時間)
1144ebinaAugust 28, 2022 23:56:23 UTC 2022 年 8 月 29 日 (月) 8 時 56 分 23 秒 (日本時間)
4511e64480Ignacio SantosAugust 31, 2022 13:09:11 UTC 2022 年 8 月 31 日 (水) 22 時 9 分 11 秒 (日本時間)

23×10282+229

c265

composite cofactor 合成数の残り
1595148609178018069945554335898045347207437394745179584421181367321553250432528361104642593863014622778196836978573625724856399373570496271610300939000750104583155309366008773280323004648237682983342980558736392910441735692193980260184049737236982492778500698871059<265>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10283+229

c264

name 名前Dmitry Domanov
date 日付August 29, 2022 22:16:40 UTC 2022 年 8 月 30 日 (火) 7 時 16 分 40 秒 (日本時間)
composite number 合成数
243962460518034964629949869531026275819266016425207187738130938299358242892531925947106778175084783427502148549708245020153953727112232047865564932245558582993735010908747918388160576480530390176910951336171705109167863364878661017763414367190007028670595819038021<264>
prime factors 素因数
1947263269111446045376374824946680790833<40>
composite cofactor 合成数の残り
125284785261397785225074646069694434669862747294253112332489123449904756988892237197868114798193018895048295422744269197149236573257220055121817713359034983348124991548094077571682806143256938468846379841806405579518389668437<225>
factorization results 素因数分解の結果
Resuming ECM residue saved by @f92c91b240aa with GMP-ECM 7.0.5-dev on Sun Aug 28 00:01:29 2022 
Input number is 243962460518034964629949869531026275819266016425207187738130938299358242892531925947106778175084783427502148549708245020153953727112232047865564932245558582993735010908747918388160576480530390176910951336171705109167863364878661017763414367190007028670595819038021 (264 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1145247411
Step 1 took 0ms
Step 2 took 9491ms
********** Factor found in step 2: 1947263269111446045376374824946680790833
Found prime factor of 40 digits: 1947263269111446045376374824946680790833
Composite cofactor 125284785261397785225074646069694434669862747294253112332489123449904756988892237197868114798193018895048295422744269197149236573257220055121817713359034983348124991548094077571682806143256938468846379841806405579518389668437 has 225 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 29, 2022 22:16:22 UTC 2022 年 8 月 30 日 (火) 7 時 16 分 22 秒 (日本時間)

23×10284+229

c270

composite cofactor 合成数の残り
544291031551999615930942779358335216805811471409465632312530340194810488425921192157042858216181006365427432543984888802857487528597278489488823804784284482972731107967144662106446563542736901779510045773149874092675670065288360727357561250182507207142289534667824993237<270>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10286+229

c255

name 名前Dmitry Domanov
date 日付August 29, 2022 22:17:02 UTC 2022 年 8 月 30 日 (火) 7 時 17 分 2 秒 (日本時間)
composite number 合成数
101057650695035462806673248887123465432079637483413569342154741086433108070059401863491178123108816875654798549087440350876030313494940189067516069978880911140347801506344742941861682373151697681684182928659070946482227513893420458479942813602577317775119<255>
prime factors 素因数
3108852824484002939279622520071775460933<40>
composite cofactor 合成数の残り
32506411979090285768818761937178385508181112878229112142264809794516991814783545473120496371771046819823192972773466142043061711370086198473782661526278359586885301889257578503914272215990624164018650552093959135043<215>
factorization results 素因数分解の結果
Resuming ECM residue saved by @f92c91b240aa with GMP-ECM 7.0.5-dev on Sun Aug 28 00:10:23 2022 
Input number is 101057650695035462806673248887123465432079637483413569342154741086433108070059401863491178123108816875654798549087440350876030313494940189067516069978880911140347801506344742941861682373151697681684182928659070946482227513893420458479942813602577317775119 (255 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1849696729
Step 1 took 0ms
Step 2 took 9482ms
********** Factor found in step 2: 3108852824484002939279622520071775460933
Found prime factor of 40 digits: 3108852824484002939279622520071775460933
Composite cofactor 32506411979090285768818761937178385508181112878229112142264809794516991814783545473120496371771046819823192972773466142043061711370086198473782661526278359586885301889257578503914272215990624164018650552093959135043 has 215 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 29, 2022 22:16:56 UTC 2022 年 8 月 30 日 (火) 7 時 16 分 56 秒 (日本時間)

23×10287+229

c267

name 名前Dmitry Domanov
date 日付August 29, 2022 22:17:29 UTC 2022 年 8 月 30 日 (火) 7 時 17 分 29 秒 (日本時間)
composite number 合成数
334338335132542438323970171000621026363163483587532766478422469425197862270241971268531458543670450961669009937294729405483446111919949438088980954315836575084535267600396564273615283173585054755226582558925765227941935217943970978025863014769909061522496021459494121<267>
prime factors 素因数
6562186981665463278458909979392093747923003<43>
composite cofactor 合成数の残り
50949224102676875646568093634004733679551946673951530409568598885914243346294556835952612087703327512347861694431047006451520167629505895283115347980333245995476735604000410881652800124773278855883556044820431863518968977707<224>
factorization results 素因数分解の結果
Resuming ECM residue saved by @f92c91b240aa with GMP-ECM 7.0.5-dev on Sun Aug 28 00:14:51 2022 
Input number is 334338335132542438323970171000621026363163483587532766478422469425197862270241971268531458543670450961669009937294729405483446111919949438088980954315836575084535267600396564273615283173585054755226582558925765227941935217943970978025863014769909061522496021459494121 (267 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1708802032
Step 1 took 0ms
Step 2 took 9629ms
********** Factor found in step 2: 6562186981665463278458909979392093747923003
Found prime factor of 43 digits: 6562186981665463278458909979392093747923003
Composite cofactor 50949224102676875646568093634004733679551946673951530409568598885914243346294556835952612087703327512347861694431047006451520167629505895283115347980333245995476735604000410881652800124773278855883556044820431863518968977707 has 224 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 29, 2022 22:17:23 UTC 2022 年 8 月 30 日 (火) 7 時 17 分 23 秒 (日本時間)

23×10288+229

c226

composite cofactor 合成数の残り
6618131452114125242001011070639934974916533434705663864160038292993568143131411571921865920684473615955040133734992903609068169309623071203338529015627387708650493339001205864729622695302328250449681085205194078830093053342637<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10289+229

c254

composite cofactor 合成数の残り
78640023025910680193147008297710235146124668922081170777722541582536829640352568365373168509388042933061726837892646370362898850522011769124023595078617800951961965773592621128704303533009806521488277631109930855683342026443500580573954186478205493172179<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10290+229

c278

composite cofactor 合成数の残り
45222728475237861471335693874559097875449348492906481773320275273243515114471466757266236006416652936587752948740941453365764878917799505852163359007792236771750753507239374980599894559334891169249913641988263528118874340158259560266489438683381563073919002323821347958038607143<278>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10291+229

c215

composite cofactor 合成数の残り
13186840273664209142400488939014785446304511044678325605322005480403199415525987871345883970733427592575163457367247817475061145766311276019408877784917723224006151352939094316799876785634216395382017631701282386387<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10292+229

c284

composite cofactor 合成数の残り
35689064086442421297193397817718439724678682658760010858897395197316873569251993610283344389634700484955943971557052316421219674888583839251497367812508354635336561834966003585983160300073266017595120105042014766043650154096115085580285541492211577561623640503580775505170485900360399<284>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10293+229

c290

composite cofactor 合成数の残り
39843398122163323285867719918234417766690919169871461733014586148356026747046391573987457991199805979974361639469216644146485119356962200741433669403734885493538440217579600180161452378477635727401863978103454249385025811592696531892041714305512247514118421508505699338253126840591761078197<290>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10294+229

c293

name 名前Dmitry Domanov
date 日付August 28, 2022 07:11:21 UTC 2022 年 8 月 28 日 (日) 16 時 11 分 21 秒 (日本時間)
composite number 合成数
11941848390446521287642782969885773624091381100726895119418483904465212876427829698857736240913811007268951194184839044652128764278296988577362409138110072689511941848390446521287642782969885773624091381100726895119418483904465212876427829698857736240913811007268951194184839044652128764278297<293>
prime factors 素因数
6440254660662604351088040142283117767363<40>
1854250960507497467996294646689989379721200525454054561223269390988178967026052882145380358317963596238358877973312839497633007272348298482771623278717133858141052490019670126537475515224321804914094942525077756132749836636596844010202706580951945016819<253>
factorization results 素因数分解の結果
Resuming ECM residue saved by @f92c91b240aa with GMP-ECM 7.0.5-dev on Sun Aug 28 00:42:54 2022 
Input number is 11941848390446521287642782969885773624091381100726895119418483904465212876427829698857736240913811007268951194184839044652128764278296988577362409138110072689511941848390446521287642782969885773624091381100726895119418483904465212876427829698857736240913811007268951194184839044652128764278297 (293 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2435233868
Step 1 took 0ms
Step 2 took 8855ms
********** Factor found in step 2: 6440254660662604351088040142283117767363
Found prime factor of 40 digits: 6440254660662604351088040142283117767363
Prime cofactor 1854250960507497467996294646689989379721200525454054561223269390988178967026052882145380358317963596238358877973312839497633007272348298482771623278717133858141052490019670126537475515224321804914094942525077756132749836636596844010202706580951945016819 has 253 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10295+229

c278

composite cofactor 合成数の残り
18577012914772029276323752022494215911920197470362339390415095452605159167059545803167035450283671898513245821206488937869437749223174170944893433958495649043742969831689030411313460178214505806318015416738702243339898077125712444782255383758703012980327586308189263643159813927<278>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10298+229

c290

composite cofactor 合成数の残り
30970736940748917140971451257905041254191760312405927817255866448781014968202676981716754814083472730398489907155658181374449747596048099602307971741839632489428877530023704993975126540984329859843726277383338915727873676523694296547931828305093206821977226295546060266941074505765660644461<290>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10299+229

c251

composite cofactor 合成数の残り
54807734267760069447647668983566871531824584742833560871159948363345395567643096175247993342494749398406173365151060329428200280092886177282824163754644483287480662218011647317574892073332615484186440934899325721928514347561595803470737237362971891183<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)