Table of contents 目次

7×10106+83

c95

name 名前Eric Jeancolas
date 日付May 29, 2022 19:27:38 UTC 2022 年 5 月 30 日 (月) 4 時 27 分 38 秒 (日本時間)
composite number 合成数
14139788700341597277422588105483334915276975765414280761865906289912956700359613029449998609119<95>
prime factors 素因数
2114888762365910027230082009000669482799<40>
6685830929719217402448566583846596966220378825254777681<55>
factorization results 素因数分解の結果
14139788700341597277422588105483334915276975765414280761865906289912956700359613029449998609119=2114888762365910027230082009000669482799*6685830929719217402448566583846596966220378825254777681

cado polynomial
n: 14139788700341597277422588105483334915276975765414280761865906289912956700359613029449998609119
skew: 0.33
type: snfs
c0: 2
c4: 175
Y0: 100000000000000000000000000
Y1: -1
# f(x) = 175*x^4+2
# g(x) = -x+100000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 410000
tasks.lim1 = 410000
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: 6685830929719217402448566583846596966220378825254777681 2114888762365910027230082009000669482799
Info:Square Root: Total cpu/real time for sqrt: 6.37/3.74879
Info:Filtering - Singleton removal: Total cpu/real time for purge: 32.48/50.6357
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 3519821
Info:Lattice Sieving: Average J: 1883.4 for 7616 special-q, max bucket fill -bkmult 1.0,1s:1.389310
Info:Lattice Sieving: Total time: 2033.78s
Info:Linear Algebra: Total cpu/real time for bwc: 20.17/10.88
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 7.78, WCT time 5.15, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1088 iterations)
Info:Linear Algebra: Lingen CPU time 5.71, WCT time 2.38
Info:Linear Algebra: Mksol: CPU time 4.52,  WCT time 2.02, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (512 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 18.47/14.3989
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 11.62/21.2158
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 21.1s
Info:Filtering - Merging: Merged matrix has 33305 rows and total weight 5671092 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 13.11/6.75264
Info:Filtering - Merging: Total cpu/real time for replay: 1.09/0.91429
Info:Generate Factor Base: Total cpu/real time for makefb: 0.22/0.341288
Info:Quadratic Characters: Total cpu/real time for characters: 1.03/0.408536
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 24.05/39.8748
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 33.3s
Info:Square Root: Total cpu/real time for sqrt: 6.37/3.74879
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2025.86/1436.31
Info:root: Cleaning up computation data in /tmp/cado.ovxcciqv
6685830929719217402448566583846596966220378825254777681 2114888762365910027230082009000669482799
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)

7×10109+83

c99

name 名前Eric Jeancolas
date 日付May 29, 2022 21:11:51 UTC 2022 年 5 月 30 日 (月) 6 時 11 分 51 秒 (日本時間)
composite number 合成数
346642816965797293973162925708498350086145095830597814913756398382982599927103281645707736918039867<99>
prime factors 素因数
502952284327805885637491177638738639772118419<45>
689216110091008547063588339776277955299857740299115193<54>
factorization results 素因数分解の結果
346642816965797293973162925708498350086145095830597814913756398382982599927103281645707736918039867=502952284327805885637491177638738639772118419*689216110091008547063588339776277955299857740299115193

cado polynomial
n: 346642816965797293973162925708498350086145095830597814913756398382982599927103281645707736918039867
skew: 0.58
type: snfs
c0: 4
c4: 35
Y0: 1000000000000000000000000000
Y1: -1
# f(x) = 35*x^4+4
# g(x) = -x+1000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 470000
tasks.lim1 = 470000
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: 689216110091008547063588339776277955299857740299115193 502952284327805885637491177638738639772118419
Info:Square Root: Total cpu/real time for sqrt: 3.58/2.68273
Info:Filtering - Singleton removal: Total cpu/real time for purge: 34.32/48.4265
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 3727384
Info:Lattice Sieving: Average J: 1882.55 for 8349 special-q, max bucket fill -bkmult 1.0,1s:1.362740
Info:Lattice Sieving: Total time: 2213.71s
Info:Linear Algebra: Total cpu/real time for bwc: 44.1/41.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 7.48, WCT time 8.85, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1088 iterations)
Info:Linear Algebra: Lingen CPU time 30.93, WCT time 26.17
Info:Linear Algebra: Mksol: CPU time 3.82,  WCT time 4.68, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (512 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 12.3/16.3097
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 16.2s
Info:Generate Free Relations: Total cpu/real time for freerel: 18.51/14.4873
Info:Filtering - Merging: Merged matrix has 33353 rows and total weight 5674499 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 20.88/18.1909
Info:Filtering - Merging: Total cpu/real time for replay: 1.09/1.26368
Info:Generate Factor Base: Total cpu/real time for makefb: 0.25/0.342692
Info:Quadratic Characters: Total cpu/real time for characters: 1.05/0.960002
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 25.33/41.1798
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 32.5s
Info:Square Root: Total cpu/real time for sqrt: 3.58/2.68273
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2213.87/1562.68
Info:root: Cleaning up computation data in /tmp/cado.csfj73vb
689216110091008547063588339776277955299857740299115193 502952284327805885637491177638738639772118419
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)

7×10110+83

c103

name 名前Eric Jeancolas
date 日付May 29, 2022 21:17:35 UTC 2022 年 5 月 30 日 (月) 6 時 17 分 35 秒 (日本時間)
composite number 合成数
6978641449126461516939714985902745493253169080837950601905831089600412561331291901258683722944903745393<103>
prime factors 素因数
54164925712233948147743754215943079206324347213<47>
128840598549002206329380284125914747265846941562230215861<57>
factorization results 素因数分解の結果
6978641449126461516939714985902745493253169080837950601905831089600412561331291901258683722944903745393=54164925712233948147743754215943079206324347213*128840598549002206329380284125914747265846941562230215861

cado polynomial
n: 6978641449126461516939714985902745493253169080837950601905831089600412561331291901258683722944903745393
skew: 0.33
type: snfs
c0: 2
c4: 175
Y0: 1000000000000000000000000000
Y1: -1
# f(x) = 175*x^4+2
# g(x) = -x+1000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 480000
tasks.lim1 = 480000
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: 128840598549002206329380284125914747265846941562230215861 54164925712233948147743754215943079206324347213
Info:Square Root: Total cpu/real time for sqrt: 4.48/4.33072
Info:Filtering - Singleton removal: Total cpu/real time for purge: 30.63/42.244
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 3462342
Info:Lattice Sieving: Average J: 1889.1 for 11079 special-q, max bucket fill -bkmult 1.0,1s:1.355680
Info:Lattice Sieving: Total time: 2620.54s
Info:Linear Algebra: Total cpu/real time for bwc: 51.25/51.53
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 9.52, WCT time 11.63, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1216 iterations)
Info:Linear Algebra: Lingen CPU time 33.97, WCT time 31.01
Info:Linear Algebra: Mksol: CPU time 5.3,  WCT time 6.24, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (576 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 18.44/14.4486
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 11.67/19.6097
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 19.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 23.79/40.9043
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 33.5s
Info:Filtering - Merging: Merged matrix has 37410 rows and total weight 6360191 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 19.06/17.2597
Info:Filtering - Merging: Total cpu/real time for replay: 1.16/1.33602
Info:Generate Factor Base: Total cpu/real time for makefb: 0.25/0.372176
Info:Quadratic Characters: Total cpu/real time for characters: 1.16/1.13505
Info:Square Root: Total cpu/real time for sqrt: 4.48/4.33072
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2486.45/1710.56
Info:root: Cleaning up computation data in /tmp/cado.gh3zq7qk
128840598549002206329380284125914747265846941562230215861 54164925712233948147743754215943079206324347213
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)

7×10112+83

c112

name 名前Eric Jeancolas
date 日付May 29, 2022 21:21:58 UTC 2022 年 5 月 30 日 (月) 6 時 21 分 58 秒 (日本時間)
composite number 合成数
2916666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667<112>
prime factors 素因数
665047201767619580247934643356186585189775896497061<51>
4385653618140937153115669819484102972116152086110773147896847<61>
factorization results 素因数分解の結果
2916666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667=665047201767619580247934643356186585189775896497061*4385653618140937153115669819484102972116152086110773147896847

cado polynomial
n: 2916666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667
skew: 1.03
type: snfs
c0: 8
c4: 7
Y0: 10000000000000000000000000000
Y1: -1
# f(x) = 7*x^4+8
# g(x) = -x+10000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 530000
tasks.lim1 = 530000
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: 665047201767619580247934643356186585189775896497061 4385653618140937153115669819484102972116152086110773147896847
Info:Square Root: Total cpu/real time for sqrt: 7.84/7.32776
Info:Quadratic Characters: Total cpu/real time for characters: 1.28/1.06157
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 26.34/44.0734
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 37.4s
Info:Square Root: Total cpu/real time for sqrt: 7.84/7.32776
Info:Linear Algebra: Total cpu/real time for bwc: 46.86/44.91
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 11.21, WCT time 11.93, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1280 iterations)
Info:Linear Algebra: Lingen CPU time 27.11, WCT time 23.2
Info:Linear Algebra: Mksol: CPU time 6.03,  WCT time 6.93, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (640 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 35.37/48.7004
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 3739172
Info:Lattice Sieving: Average J: 1887.87 for 9070 special-q, max bucket fill -bkmult 1.0,1s:1.340860
Info:Lattice Sieving: Total time: 2256.01s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 12.89/23.5489
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 23.3s
Info:Generate Free Relations: Total cpu/real time for freerel: 18.94/14.142
Info:Filtering - Merging: Merged matrix has 39223 rows and total weight 6668162 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 18.36/15.6788
Info:Filtering - Merging: Total cpu/real time for replay: 1.28/1.3799
Info:Generate Factor Base: Total cpu/real time for makefb: 0.28/0.342737
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2195.98/1688.63
Info:root: Cleaning up computation data in /tmp/cado.z5igebi7
665047201767619580247934643356186585189775896497061 4385653618140937153115669819484102972116152086110773147896847
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)

7×10117+83

c94

name 名前Eric Jeancolas
date 日付May 30, 2022 18:58:13 UTC 2022 年 5 月 31 日 (火) 3 時 58 分 13 秒 (日本時間)
composite number 合成数
1028189194020646330633616254808240358155451625852493537140630593568301702672888930413391432251<94>
prime factors 素因数
49928812969022050376638476759110049492901<41>
20593103117804511827782758263260372859009263769824351<53>
factorization results 素因数分解の結果
1028189194020646330633616254808240358155451625852493537140630593568301702672888930413391432251=49928812969022050376638476759110049492901*20593103117804511827782758263260372859009263769824351

cado polynomial
n:  1028189194020646330633616254808240358155451625852493537140630593568301702672888930413391432251
skew: 0.58
type: snfs
c0: 4
c4: 35
Y0: 100000000000000000000000000000
Y1: -1
# f(x) = 35*x^4+4
# g(x) = -x+100000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 640000
tasks.lim1 = 640000
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: 49928812969022050376638476759110049492901 20593103117804511827782758263260372859009263769824351
Info:Square Root: Total cpu/real time for sqrt: 6.01/2.1034
Info:Filtering - Singleton removal: Total cpu/real time for purge: 30.73/33.1481
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 3439152
Info:Lattice Sieving: Average J: 1892.94 for 13920 special-q, max bucket fill -bkmult 1.0,1s:1.379820
Info:Lattice Sieving: Total time: 2932.91s
Info:Linear Algebra: Total cpu/real time for bwc: 34.59/13.89
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 17.0, WCT time 7.9, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1536 iterations)
Info:Linear Algebra: Lingen CPU time 4.84, WCT time 1.26
Info:Linear Algebra: Mksol: CPU time 9.83,  WCT time 2.92, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (768 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 18.37/13.4505
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 11.81/14.5016
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 14.3s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 23.93/31.7841
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 23.6s
Info:Filtering - Merging: Merged matrix has 47350 rows and total weight 8064129 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 12.09/5.27371
Info:Filtering - Merging: Total cpu/real time for replay: 1.55/1.44678
Info:Generate Factor Base: Total cpu/real time for makefb: 0.34/0.437635
Info:Quadratic Characters: Total cpu/real time for characters: 1.52/0.595549
Info:Square Root: Total cpu/real time for sqrt: 6.01/2.1034
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2761.59/1767.78
Info:root: Cleaning up computation data in /tmp/cado.z8cv0r_z
49928812969022050376638476759110049492901 20593103117804511827782758263260372859009263769824351
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)

7×10119+83

c80

name 名前Eric Jeancolas
date 日付May 29, 2022 17:47:36 UTC 2022 年 5 月 30 日 (月) 2 時 47 分 36 秒 (日本時間)
composite number 合成数
49480657791033068276524546090233048854495148245162800289437773931474081811933413<80>
prime factors 素因数
2594560216377878021349976392102193226659<40>
19070922878833884683967112126149972085207<41>
factorization results 素因数分解の結果
49480657791033068276524546090233048854495148245162800289437773931474081811933413 = 2594560216377878021349976392102193226659 * 19070922878833884683967112126149972085207

Time elapsed: 0d 0h 4m 51.2s

Modular multiplications:

ECM: 78622512
Probable prime checking: 1371
SIQS: 113560
Sum of squares: 1700
SIQS:

789888 polynomials sieved
342533 sets of trial divisions
13208 smooth congruences found (1 out of every 4609195 values)
151874 partial congruences found (1 out of every 400847 values)
14464 useful partial congruences
Size of binary matrix: 25658 × 25007
Timings:

Probable prime test of 3 numbers: 0d 0h 0m 0.0s
Factoring 1 number using ECM: 0d 0h 0m 14.9s
Factoring 1 number using SIQS: 0d 0h 4m 36.3s
software ソフトウェア
Dario Alpern's calculator
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)

7×10124+83

c70

name 名前Eric Jeancolas
date 日付May 29, 2022 17:36:59 UTC 2022 年 5 月 30 日 (月) 2 時 36 分 59 秒 (日本時間)
composite number 合成数
7923949682718856907830672383365779574988790481164880050361890241832667<70>
prime factors 素因数
1555589235283645077894521246766907<34>
5093857364777925670599447757064467681<37>
factorization results 素因数分解の結果
7923949682718856907830672383365779574988790481164880050361890241832667 = 1555589235283645077894521246766907 * 5093857364777925670599447757064467681

Time elapsed: 0d 0h 0m 29.4s

Modular multiplications:

ECM: 10552042
Probable prime checking: 1184
SIQS: 48664
Sum of squares: 2028
SIQS:

113688 polynomials sieved
152714 sets of trial divisions
5753 smooth congruences found (1 out of every 1085934 values)
64472 partial congruences found (1 out of every 96900 values)
6154 useful partial congruences
Size of binary matrix: 11009 × 10707
software ソフトウェア
Dario Alpern's calculator
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)

7×10125+83

c108

name 名前Dmitry Domanov
date 日付May 31, 2022 13:15:30 UTC 2022 年 5 月 31 日 (火) 22 時 15 分 30 秒 (日本時間)
composite number 合成数
205562742971229839335188806933990431198078166135154186819548495999097580715649228000562425477545039393023471<108>
prime factors 素因数
1899492092331791889159361336383743914589971279<46>
108219846663790886667230842758412194201016216066217509015825249<63>
factorization results 素因数分解の結果
N=205562742971229839335188806933990431198078166135154186819548495999097580715649228000562425477545039393023471
  ( 108 digits)
SNFS difficulty: 125 digits.
Divisors found:
p46 factor: 1899492092331791889159361336383743914589971279
p63 factor: 108219846663790886667230842758412194201016216066217509015825249
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.42 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 205562742971229839335188806933990431198078166135154186819548495999097580715649228000562425477545039393023471
m: 10000000000000000000000000000000
deg: 4
c4: 35
c0: 4
skew: 0.58
# Murphy_E = 2.701e-08
type: snfs
lss: 1
rlim: 870000
alim: 870000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 870000/870000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [435000, 735001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 86214 x 86439
Total sieving time: 1.39 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,125.000,4,0,0,0,0,0,0,0,0,870000,870000,26,26,46,46,2.3,2.3,75000
total time: 1.42 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)

7×10126+83

c88

name 名前Eric Jeancolas
date 日付May 29, 2022 20:46:57 UTC 2022 年 5 月 30 日 (月) 5 時 46 分 57 秒 (日本時間)
composite number 合成数
3446614718385305782372391248129938318070424492829215894561669227126293777251319363596467<88>
prime factors 素因数
3970390673252787080536868590666106018441689<43>
868079491926074878207450038101079382254922603<45>
factorization results 素因数分解の結果
Sun May 29 21:33:41 2022  Msieve v. 1.53 (SVN 1005)
Sun May 29 21:33:41 2022  random seeds: bf6a21e8 36141f33
Sun May 29 21:33:41 2022  factoring 3446614718385305782372391248129938318070424492829215894561669227126293777251319363596467 (88 digits)
Sun May 29 21:33:41 2022  searching for 15-digit factors
Sun May 29 21:33:41 2022  commencing quadratic sieve (88-digit input)
Sun May 29 21:33:41 2022  using multiplier of 13
Sun May 29 21:33:41 2022  using generic 32kb sieve core
Sun May 29 21:33:41 2022  sieve interval: 25 blocks of size 32768
Sun May 29 21:33:41 2022  processing polynomials in batches of 9
Sun May 29 21:33:41 2022  using a sieve bound of 1511179 (57667 primes)
Sun May 29 21:33:41 2022  using large prime bound of 120894320 (26 bits)
Sun May 29 21:33:41 2022  using double large prime bound of 353452074196400 (42-49 bits)
Sun May 29 21:33:41 2022  using trial factoring cutoff of 49 bits
Sun May 29 21:33:41 2022  polynomial 'A' values have 11 factors
Sun May 29 22:40:05 2022  58141 relations (15797 full + 42344 combined from 610001 partial), need 57763
Sun May 29 22:40:05 2022  begin with 625798 relations
Sun May 29 22:40:05 2022  reduce to 140576 relations in 10 passes
Sun May 29 22:40:05 2022  attempting to read 140576 relations
Sun May 29 22:40:06 2022  recovered 140576 relations
Sun May 29 22:40:06 2022  recovered 119436 polynomials
Sun May 29 22:40:06 2022  attempting to build 58141 cycles
Sun May 29 22:40:06 2022  found 58141 cycles in 5 passes
Sun May 29 22:40:06 2022  distribution of cycle lengths:
Sun May 29 22:40:06 2022     length 1 : 15797
Sun May 29 22:40:06 2022     length 2 : 11245
Sun May 29 22:40:06 2022     length 3 : 10294
Sun May 29 22:40:06 2022     length 4 : 7695
Sun May 29 22:40:06 2022     length 5 : 5424
Sun May 29 22:40:06 2022     length 6 : 3338
Sun May 29 22:40:06 2022     length 7 : 1956
Sun May 29 22:40:06 2022     length 9+: 2392
Sun May 29 22:40:06 2022  largest cycle: 19 relations
Sun May 29 22:40:06 2022  matrix is 57667 x 58141 (15.1 MB) with weight 3499310 (60.19/col)
Sun May 29 22:40:06 2022  sparse part has weight 3499310 (60.19/col)
Sun May 29 22:40:06 2022  filtering completed in 3 passes
Sun May 29 22:40:06 2022  matrix is 53443 x 53507 (14.0 MB) with weight 3229324 (60.35/col)
Sun May 29 22:40:06 2022  sparse part has weight 3229324 (60.35/col)
Sun May 29 22:40:06 2022  saving the first 48 matrix rows for later
Sun May 29 22:40:06 2022  matrix includes 64 packed rows
Sun May 29 22:40:06 2022  matrix is 53395 x 53507 (10.3 MB) with weight 2646092 (49.45/col)
Sun May 29 22:40:06 2022  sparse part has weight 2170632 (40.57/col)
Sun May 29 22:40:06 2022  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Sun May 29 22:40:07 2022  commencing Lanczos iteration
Sun May 29 22:40:07 2022  memory use: 6.2 MB
Sun May 29 22:40:11 2022  lanczos halted after 845 iterations (dim = 53393)
Sun May 29 22:40:11 2022  recovered 18 nontrivial dependencies
Sun May 29 22:40:12 2022  p43 factor: 3970390673252787080536868590666106018441689
Sun May 29 22:40:12 2022  p45 factor: 868079491926074878207450038101079382254922603
Sun May 29 22:40:12 2022  elapsed time 01:06:31
software ソフトウェア
Msieve 1.53
execution environment 実行環境
Windows 10 21H2
Intel(R) Core(TM) i7-9750H CPU @ 2.60GHz   2.59 GHz

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)

7×10129+83

c92

name 名前Eric Jeancolas
date 日付May 30, 2022 17:05:35 UTC 2022 年 5 月 31 日 (火) 2 時 5 分 35 秒 (日本時間)
composite number 合成数
24817179990365451799113976948138709982619657015418945371753391806117886498238519705663480931<92>
prime factors 素因数
1418712763171370758997091715506590281063896299<46>
17492744574236065348264498880824864491282673769<47>
factorization results 素因数分解の結果
24817179990365451799113976948138709982619657015418945371753391806117886498238519705663480931=1418712763171370758997091715506590281063896299*17492744574236065348264498880824864491282673769

cado polynomial
n: 24817179990365451799113976948138709982619657015418945371753391806117886498238519705663480931
skew: 674652.989
c0: 94528205055518282200290933
c1: 169316118134007511851
c2: -12515330743393
c3: -426575599
c4: 600
Y0: -14756977233559927419998
Y1: 2677124940785369
# MurphyE (Bf=8.389e+06,Bg=8.389e+06,area=4.214e+11) = 3.033e-06
# f(x) = 600*x^4-426575599*x^3-12515330743393*x^2+169316118134007511851*x+94528205055518282200290933
# g(x) = 2677124940785369*x-14756977233559927419998

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)
Info:Square Root: Factors: 1418712763171370758997091715506590281063896299 17492744574236065348264498880824864491282673769
Info:Square Root: Total cpu/real time for sqrt: 12.01/3.92229
Info:Quadratic Characters: Total cpu/real time for characters: 2.22/0.878433
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 11.78/13.7914
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 8.899999999999999s
Info:Square Root: Total cpu/real time for sqrt: 12.01/3.92229
Info:Linear Algebra: Total cpu/real time for bwc: 71.69/20.09
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 37.14, WCT time 10.04, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (2300 iterations)
Info:Linear Algebra: Lingen CPU time 8.03, WCT time 2.08
Info:Linear Algebra: Mksol: CPU time 21.42,  WCT time 6.08, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1200 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 9.21/9.75707
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 1229354
Info:Lattice Sieving: Average J: 1024 for 36807 special-q, max bucket fill -bkmult 1.0,1s:1.356920
Info:Lattice Sieving: Total time: 1243.43s
Info:Generate Free Relations: Total cpu/real time for freerel: 6.26/2.07668
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 4.73/4.82874
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 4.5s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 42.81
Info:Polynomial Selection (root optimized): Rootsieve time: 42.48
Info:Filtering - Merging: Merged matrix has 72667 rows and total weight 12355305 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 14/3.95949
Info:Filtering - Merging: Total cpu/real time for replay: 2.26/1.90524
Info:Generate Factor Base: Total cpu/real time for makefb: 0.6/0.173592
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 2285.08
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 2314/29.900/34.551/38.400/0.778
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 1394/29.530/33.427/36.070/1.120
Info:Polynomial Selection (size optimized): Total time: 36.88
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2346.04/736.834
Info:root: Cleaning up computation data in /tmp/cado.jff9i63j
1418712763171370758997091715506590281063896299 17492744574236065348264498880824864491282673769
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)

7×10130+83

c104

name 名前Eric Jeancolas
date 日付May 31, 2022 21:10:51 UTC 2022 年 6 月 1 日 (水) 6 時 10 分 51 秒 (日本時間)
composite number 合成数
81583506223281275924062328234157492888295431684672854643500106135739105346074920833953774750633881678601<104>
prime factors 素因数
5348611932075235846907912407004704540565606307835853<52>
15253210974987909756301618427646030518220839399324717<53>
factorization results 素因数分解の結果
81583506223281275924062328234157492888295431684672854643500106135739105346074920833953774750633881678601=5348611932075235846907912407004704540565606307835853*15253210974987909756301618427646030518220839399324717

cado polynomial
n: 81583506223281275924062328234157492888295431684672854643500106135739105346074920833953774750633881678601
skew: 0.33
type: snfs
c0: 2
c4: 175
Y0: 100000000000000000000000000000000
Y1: -1
# f(x) = 175*x^4+2
# g(x) = -x+100000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1040000
tasks.lim1 = 1040000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 47
tasks.sieve.mfb1 = 47
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: 15253210974987909756301618427646030518220839399324717 5348611932075235846907912407004704540565606307835853
Info:Square Root: Total cpu/real time for sqrt: 14.2/6.35967
Info:Filtering - Singleton removal: Total cpu/real time for purge: 55.37/87.2583
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6092120
Info:Lattice Sieving: Average J: 1890.69 for 54121 special-q, max bucket fill -bkmult 1.0,1s:1.368590
Info:Lattice Sieving: Total time: 10748.9s
Info:Linear Algebra: Total cpu/real time for bwc: 137.03/81.49
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 76.8, WCT time 44.79, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3200 iterations)
Info:Linear Algebra: Lingen CPU time 12.4, WCT time 4.52
Info:Linear Algebra: Mksol: CPU time 41.57,  WCT time 25.63, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1600 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 21.82/37.136
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 36.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 47.6/83.8277
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 74.0s
Info:Filtering - Merging: Merged matrix has 100336 rows and total weight 17108975 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 27.51/29.469
Info:Filtering - Merging: Total cpu/real time for replay: 3.27/4.25695
Info:Generate Factor Base: Total cpu/real time for makefb: 0.55/0.298242
Info:Quadratic Characters: Total cpu/real time for characters: 3.31/1.76173
Info:Square Root: Total cpu/real time for sqrt: 14.2/6.35967
Info:Generate Free Relations: Total cpu/real time for freerel: 36.05/11.0094
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 10074.7/5874.37
Info:root: Cleaning up computation data in /tmp/cado.rxjy6ea3
15253210974987909756301618427646030518220839399324717 5348611932075235846907912407004704540565606307835853
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)

7×10140+83

c138

name 名前Bob Backstrom
date 日付May 29, 2022 19:31:28 UTC 2022 年 5 月 30 日 (月) 4 時 31 分 28 秒 (日本時間)
composite number 合成数
258112094395280235988200589970501474926253687315634218289085545722713864306784660766961651917404129793510324483775811209439528023598820059<138>
prime factors 素因数
29768554265337091000903116294372840902870242141721<50>
8670629150970541596412330596079742092992937138974181057377132977309263961599216218812179<88>
factorization results 素因数分解の結果
Number: n
N=258112094395280235988200589970501474926253687315634218289085545722713864306784660766961651917404129793510324483775811209439528023598820059  ( 138 digits)
SNFS difficulty: 140 digits.
Divisors found:

Mon May 30 05:24:37 2022  p50 factor: 29768554265337091000903116294372840902870242141721
Mon May 30 05:24:37 2022  p88 factor: 8670629150970541596412330596079742092992937138974181057377132977309263961599216218812179
Mon May 30 05:24:37 2022  elapsed time 00:03:12 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.326).
Factorization parameters were as follows:
#
# N = 7x10^140+8 = 23(139)6
#
n: 258112094395280235988200589970501474926253687315634218289085545722713864306784660766961651917404129793510324483775811209439528023598820059
m: 100000000000000000000000000000000000
deg: 4
c4: 7
c0: 8
skew: 1.03
# Murphy_E = 4.987e-09
type: snfs
lss: 1
rlim: 1560000
alim: 1560000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1560000/1560000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved  special-q in [100000, 6380000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 469733 hash collisions in 6867741 relations (7159087 unique)
Msieve: matrix is 199741 x 199966 (66.1 MB)

Sieving start time : 2022/05/30 05:05:59
Sieving end time  : 2022/05/30 05:19:05

Total sieving time: 0hrs 13min 6secs.

Total relation processing time: 0hrs 1min 38sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 5sec.

Prototype def-par.txt line would be:
snfs,140,4,0,0,0,0,0,0,0,0,1560000,1560000,26,26,48,48,2.3,2.3,100000
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)

7×10147+83

c130

name 名前Taiyo Kodama
date 日付June 2, 2022 09:33:21 UTC 2022 年 6 月 2 日 (木) 18 時 33 分 21 秒 (日本時間)
composite number 合成数
4591425771163220756855561441153798898784795306596168127685625239295095485831585783102416040017263175942951419139928308385581009419<130>
prime factors 素因数
121035382453932162432905435394169297<36>
37934574816672179209140033614247225650963609784264066789432911781016477128359943673107543507227<95>
factorization results 素因数分解の結果
Thu Jun  2 18:29:02 2022  Msieve v. 1.53 (SVN unknown)
Thu Jun  2 18:29:02 2022  random seeds: 0c2dcb98 33d78a0f
Thu Jun  2 18:29:02 2022  factoring 4591425771163220756855561441153798898784795306596168127685625239295095485831585783102416040017263175942951419139928308385581009419 (130 digits)
Thu Jun  2 18:29:02 2022  searching for 15-digit factors
Thu Jun  2 18:29:03 2022  commencing number field sieve (130-digit input)
Thu Jun  2 18:29:03 2022  R0: -5000000000000000000000000000000000000
Thu Jun  2 18:29:03 2022  R1: 1
Thu Jun  2 18:29:03 2022  A0: 5
Thu Jun  2 18:29:03 2022  A1: 0
Thu Jun  2 18:29:03 2022  A2: 0
Thu Jun  2 18:29:03 2022  A3: 0
Thu Jun  2 18:29:03 2022  A4: 7
Thu Jun  2 18:29:03 2022  skew 0.92, size 3.888e-15, alpha 0.125, combined = 2.234e-09 rroots = 0
Thu Jun  2 18:29:03 2022  
Thu Jun  2 18:29:03 2022  commencing square root phase
Thu Jun  2 18:29:03 2022  reading relations for dependency 1
Thu Jun  2 18:29:03 2022  read 122910 cycles
Thu Jun  2 18:29:03 2022  cycles contain 344786 unique relations
Thu Jun  2 18:29:06 2022  read 344786 relations
Thu Jun  2 18:29:06 2022  multiplying 344786 relations
Thu Jun  2 18:29:09 2022  multiply complete, coefficients have about 8.27 million bits
Thu Jun  2 18:29:09 2022  initial square root is modulo 56473
Thu Jun  2 18:29:12 2022  sqrtTime: 9
Thu Jun  2 18:29:12 2022  p36 factor: 121035382453932162432905435394169297
Thu Jun  2 18:29:12 2022  p95 factor: 37934574816672179209140033614247225650963609784264066789432911781016477128359943673107543507227
Thu Jun  2 18:29:12 2022  elapsed time 00:00:10
Thu Jun 02 18:29:12 2022 -> Computing time scale for this machine...
Thu Jun 02 18:29:12 2022 -> procrels -speedtest> PIPE

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)

7×10149+83

c149

name 名前Bob Backstrom
date 日付May 31, 2022 04:55:28 UTC 2022 年 5 月 31 日 (火) 13 時 55 分 28 秒 (日本時間)
composite number 合成数
29166666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667<149>
prime factors 素因数
11555145448006489746705255430477574712663083<44>
2524128043035454980022483788408337622210421282818373041855194452503570365379835973512584603775801449573249<106>
factorization results 素因数分解の結果
Number: n
N=29166666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667  ( 149 digits)
SNFS difficulty: 149 digits.
Divisors found:

Tue May 31 14:48:25 2022  p44 factor: 11555145448006489746705255430477574712663083
Tue May 31 14:48:25 2022  p106 factor: 2524128043035454980022483788408337622210421282818373041855194452503570365379835973512584603775801449573249
Tue May 31 14:48:25 2022  elapsed time 00:04:44 (Msieve 1.54 - dependency 8)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.344).
Factorization parameters were as follows:
#
# N = 7x10^149+8 = 23(148)6
#
n: 29166666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667
m: 10000000000000000000000000000000000000
deg: 4
c4: 35
c0: 4
skew: 0.58
# Murphy_E = 1.736e-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 692963 hash collisions in 7485904 relations (7577698 unique)
Msieve: matrix is 313659 x 313884 (106.1 MB)

Sieving start time : 2022/05/31 14:13:16
Sieving end time  : 2022/05/31 14:43:26

Total sieving time: 0hrs 30min 10secs.

Total relation processing time: 0hrs 1min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 19sec.

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)

7×10150+83

c144

name 名前Bob Backstrom
date 日付May 31, 2022 10:47:18 UTC 2022 年 5 月 31 日 (火) 19 時 47 分 18 秒 (日本時間)
composite number 合成数
590132843961457243695189304499779796144510381954209737933806653596067219840333657737788128145829581774539578355141271058469013304629271803048053<144>
prime factors 素因数
1068726601095151257256302441883283<34>
552183171408602676579104260558059491232494128151027302810166053623637709094320144593945680541663767181200927191<111>
factorization results 素因数分解の結果
Number: n
N=590132843961457243695189304499779796144510381954209737933806653596067219840333657737788128145829581774539578355141271058469013304629271803048053  ( 144 digits)
SNFS difficulty: 150 digits.
Divisors found:

Tue May 31 20:43:39 2022  p34 factor: 1068726601095151257256302441883283
Tue May 31 20:43:39 2022  p111 factor: 552183171408602676579104260558059491232494128151027302810166053623637709094320144593945680541663767181200927191
Tue May 31 20:43:39 2022  elapsed time 00:05:47 (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 = 7x10^150+8 = 23(149)6
#
n: 590132843961457243695189304499779796144510381954209737933806653596067219840333657737788128145829581774539578355141271058469013304629271803048053
m: 1000000000000000000000000000000
deg: 5
c5: 7
c0: 8
skew: 1.03
# Murphy_E = 1.63e-09
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved  special-q in [100000, 21150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1128897 hash collisions in 14756253 relations (14654826 unique)
Msieve: matrix is 508737 x 508977 (64.4 MB)

Sieving start time : 2022/05/31 18:44:21
Sieving end time  : 2022/05/31 20:37:09

Total sieving time: 1hrs 52min 48secs.

Total relation processing time: 0hrs 1min 48sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 26sec.

Prototype def-par.txt line would be:
snfs,150,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
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)

7×10151+83

c119

name 名前ebina
date 日付June 1, 2022 02:40:46 UTC 2022 年 6 月 1 日 (水) 11 時 40 分 46 秒 (日本時間)
composite number 合成数
11652031985384424417425277524597443896249958069457592496967376324619172856007452600566820448017842935811931735754266439<119>
prime factors 素因数
1080799519842111355039369809416959994665604877552049<52>
10780937418520145177193248291158067858222884657448733993858279061111<68>
factorization results 素因数分解の結果
Wed Jun  1 11:37:38 2022  Msieve v. 1.53 (SVN unknown)
Wed Jun  1 11:37:38 2022  random seeds: 24d0ea60 fadcc6a5
Wed Jun  1 11:37:38 2022  factoring 11652031985384424417425277524597443896249958069457592496967376324619172856007452600566820448017842935811931735754266439 (119 digits)
Wed Jun  1 11:37:38 2022  searching for 15-digit factors
Wed Jun  1 11:37:39 2022  commencing number field sieve (119-digit input)
Wed Jun  1 11:37:39 2022  R0: -1000000000000000000000000000000
Wed Jun  1 11:37:39 2022  R1: 1
Wed Jun  1 11:37:39 2022  A0: 4
Wed Jun  1 11:37:39 2022  A1: 0
Wed Jun  1 11:37:39 2022  A2: 0
Wed Jun  1 11:37:39 2022  A3: 0
Wed Jun  1 11:37:39 2022  A4: 0
Wed Jun  1 11:37:39 2022  A5: 35
Wed Jun  1 11:37:39 2022  skew 0.65, size 1.416e-10, alpha 0.635, combined = 1.512e-09 rroots = 1
Wed Jun  1 11:37:39 2022  
Wed Jun  1 11:37:39 2022  commencing square root phase
Wed Jun  1 11:37:39 2022  reading relations for dependency 1
Wed Jun  1 11:37:39 2022  read 154085 cycles
Wed Jun  1 11:37:39 2022  cycles contain 513872 unique relations
Wed Jun  1 11:37:43 2022  read 513872 relations
Wed Jun  1 11:37:44 2022  multiplying 513872 relations
Wed Jun  1 11:37:52 2022  multiply complete, coefficients have about 13.25 million bits
Wed Jun  1 11:37:52 2022  initial square root is modulo 41278931
Wed Jun  1 11:38:02 2022  Newton iteration failed to converge
Wed Jun  1 11:38:02 2022  algebraic square root failed
Wed Jun  1 11:38:02 2022  reading relations for dependency 2
Wed Jun  1 11:38:02 2022  read 153956 cycles
Wed Jun  1 11:38:02 2022  cycles contain 513348 unique relations
Wed Jun  1 11:38:07 2022  read 513348 relations
Wed Jun  1 11:38:08 2022  multiplying 513348 relations
Wed Jun  1 11:38:16 2022  multiply complete, coefficients have about 13.24 million bits
Wed Jun  1 11:38:16 2022  initial square root is modulo 40425241
Wed Jun  1 11:38:25 2022  GCD is 1, no factor found
Wed Jun  1 11:38:25 2022  reading relations for dependency 3
Wed Jun  1 11:38:25 2022  read 154392 cycles
Wed Jun  1 11:38:25 2022  cycles contain 514344 unique relations
Wed Jun  1 11:38:30 2022  read 514344 relations
Wed Jun  1 11:38:31 2022  multiplying 514344 relations
Wed Jun  1 11:38:39 2022  multiply complete, coefficients have about 13.27 million bits
Wed Jun  1 11:38:39 2022  initial square root is modulo 41939941
Wed Jun  1 11:38:48 2022  Newton iteration failed to converge
Wed Jun  1 11:38:48 2022  algebraic square root failed
Wed Jun  1 11:38:48 2022  reading relations for dependency 4
Wed Jun  1 11:38:48 2022  read 153741 cycles
Wed Jun  1 11:38:48 2022  cycles contain 513524 unique relations
Wed Jun  1 11:38:53 2022  read 513524 relations
Wed Jun  1 11:38:54 2022  multiplying 513524 relations
Wed Jun  1 11:39:01 2022  multiply complete, coefficients have about 13.24 million bits
Wed Jun  1 11:39:02 2022  initial square root is modulo 40650751
Wed Jun  1 11:39:11 2022  GCD is 1, no factor found
Wed Jun  1 11:39:11 2022  reading relations for dependency 5
Wed Jun  1 11:39:11 2022  read 154429 cycles
Wed Jun  1 11:39:11 2022  cycles contain 515348 unique relations
Wed Jun  1 11:39:16 2022  read 515348 relations
Wed Jun  1 11:39:17 2022  multiplying 515348 relations
Wed Jun  1 11:39:25 2022  multiply complete, coefficients have about 13.29 million bits
Wed Jun  1 11:39:25 2022  initial square root is modulo 43312891
Wed Jun  1 11:39:34 2022  Newton iteration failed to converge
Wed Jun  1 11:39:34 2022  algebraic square root failed
Wed Jun  1 11:39:34 2022  reading relations for dependency 6
Wed Jun  1 11:39:34 2022  read 154336 cycles
Wed Jun  1 11:39:34 2022  cycles contain 515170 unique relations
Wed Jun  1 11:39:39 2022  read 515170 relations
Wed Jun  1 11:39:40 2022  multiplying 515170 relations
Wed Jun  1 11:39:48 2022  multiply complete, coefficients have about 13.29 million bits
Wed Jun  1 11:39:48 2022  initial square root is modulo 43056311
Wed Jun  1 11:39:57 2022  sqrtTime: 138
Wed Jun  1 11:39:57 2022  p52 factor: 1080799519842111355039369809416959994665604877552049
Wed Jun  1 11:39:57 2022  p68 factor: 10780937418520145177193248291158067858222884657448733993858279061111
Wed Jun  1 11:39:57 2022  elapsed time 00:02:19
Wed Jun 01 11:39:57 2022 -> Computing time scale for this machine...
Wed Jun 01 11:39:57 2022 -> procrels -speedtest> PIPE
Wed Jun 01 11:39:59 2022 -> Factorization summary written to s152-23336_151.txt

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)

7×10154+83

c149

name 名前Bob Backstrom
date 日付May 31, 2022 04:09:54 UTC 2022 年 5 月 31 日 (火) 13 時 9 分 54 秒 (日本時間)
composite number 合成数
25656137387882679614952690082656744338790027239487580963439271189770384900703417983926063410243102897237640339071511718257493791214752132391533181449<149>
prime factors 素因数
42160310797544000996106885861430107191<38>
2611526926348755783578137338073712586485517857397953<52>
233019872766145041686330498896271918943621363971186682280063<60>
factorization results 素因数分解の結果
Number: n
N=25656137387882679614952690082656744338790027239487580963439271189770384900703417983926063410243102897237640339071511718257493791214752132391533181449  ( 149 digits)
SNFS difficulty: 154 digits.
Divisors found:

Tue May 31 14:05:42 2022  found factor: 42160310797544000996106885861430107191
Tue May 31 14:06:10 2022  found factor: 42160310797544000996106885861430107191
Tue May 31 14:06:24 2022  p38 factor: 42160310797544000996106885861430107191
Tue May 31 14:06:24 2022  p52 factor: 2611526926348755783578137338073712586485517857397953
Tue May 31 14:06:24 2022  p60 factor: 233019872766145041686330498896271918943621363971186682280063
Tue May 31 14:06:24 2022  elapsed time 00:06:20 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 7x10^154+8 = 23(153)6
#
n: 25656137387882679614952690082656744338790027239487580963439271189770384900703417983926063410243102897237640339071511718257493791214752132391533181449
m: 5000000000000000000000000000000
deg: 5
c5: 14
c0: 5
skew: 0.81
# Murphy_E = 1.079e-09
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 6900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1282278 hash collisions in 14635884 relations (14333714 unique)
Msieve: matrix is 352898 x 353124 (116.5 MB)

Sieving start time : 2022/05/31 13:25:48
Sieving end time  : 2022/05/31 13:59:50

Total sieving time: 0hrs 34min 2secs.

Total relation processing time: 0hrs 2min 6sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 57sec.

Prototype def-par.txt line would be:
snfs,154,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
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)

7×10156+83

c147

name 名前Bob Backstrom
date 日付May 31, 2022 06:51:37 UTC 2022 年 5 月 31 日 (火) 15 時 51 分 37 秒 (日本時間)
composite number 合成数
143389592049680394833241289259963170693003558417896734814654763261127950732908049406319803123710667929890626150591373476218449662157250321236973091<147>
prime factors 素因数
394545271717515908148351441292588629471281417877310254167<57>
363430010009963042118373793039324059987111739542896733587197797438923084845296940406506773<90>
factorization results 素因数分解の結果
Number: n
N=143389592049680394833241289259963170693003558417896734814654763261127950732908049406319803123710667929890626150591373476218449662157250321236973091  ( 147 digits)
SNFS difficulty: 156 digits.
Divisors found:

Tue May 31 16:48:25 2022  p57 factor: 394545271717515908148351441292588629471281417877310254167
Tue May 31 16:48:25 2022  p90 factor: 363430010009963042118373793039324059987111739542896733587197797438923084845296940406506773
Tue May 31 16:48:25 2022  elapsed time 00:06:48 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.344).
Factorization parameters were as follows:
#
# N = 7x10^156+8 = 23(155)6
#
n: 143389592049680394833241289259963170693003558417896734814654763261127950732908049406319803123710667929890626150591373476218449662157250321236973091
m: 10000000000000000000000000000000
deg: 5
c5: 35
c0: 4
skew: 0.65
# Murphy_E = 9.733e-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 1334422 hash collisions in 14924314 relations (14588929 unique)
Msieve: matrix is 358509 x 358735 (118.8 MB)

Sieving start time : 2022/05/31 16:05:19
Sieving end time  : 2022/05/31 16:41:22

Total sieving time: 0hrs 36min 3secs.

Total relation processing time: 0hrs 2min 9sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 16sec.

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)

7×10157+83

c141

name 名前Bob Backstrom
date 日付May 31, 2022 13:19:13 UTC 2022 年 5 月 31 日 (火) 22 時 19 分 13 秒 (日本時間)
composite number 合成数
307628669858536062553303668865543020775161693128006057850023623492412761781660254585457115749317049597555272173791118919464959738858676047827<141>
prime factors 素因数
1599203229590448089707311651115902133603267<43>
192363712232696646297542534431911893152593399805229639883282310497161097162525504234248393280469681<99>
factorization results 素因数分解の結果
Number: n
N=307628669858536062553303668865543020775161693128006057850023623492412761781660254585457115749317049597555272173791118919464959738858676047827  ( 141 digits)
SNFS difficulty: 157 digits.
Divisors found:

Tue May 31 22:43:07 2022  p43 factor: 1599203229590448089707311651115902133603267
Tue May 31 22:43:07 2022  p99 factor: 192363712232696646297542534431911893152593399805229639883282310497161097162525504234248393280469681
Tue May 31 22:43:07 2022  elapsed time 00:06:58 (Msieve 1.54 - dependency 6)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.345).
Factorization parameters were as follows:
#
# N = 7x10^157+8 = 23(156)6
#
n: 307628669858536062553303668865543020775161693128006057850023623492412761781660254585457115749317049597555272173791118919464959738858676047827
m: 10000000000000000000000000000000
deg: 5
c5: 175
c0: 2
skew: 0.41
# Murphy_E = 7.563e-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 1159291 hash collisions in 12723906 relations (12369579 unique)
Msieve: matrix is 397873 x 398103 (133.3 MB)

Sieving start time : 2022/05/31 22:10:26
Sieving end time  : 2022/05/31 22:35:54

Total sieving time: 0hrs 25min 28secs.

Total relation processing time: 0hrs 2min 17sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 53sec.

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)

7×10158+83

c116

name 名前Eric Jeancolas
date 日付June 4, 2022 12:23:22 UTC 2022 年 6 月 4 日 (土) 21 時 23 分 22 秒 (日本時間)
composite number 合成数
30052862035073181938047537877175217721031489302735779468907929936185984356942575212815212499914062030446937600629413<116>
prime factors 素因数
27881840880802561465916409973114013936367974893643<50>
1077865057890256813528126600188893528199006126319871872758143005391<67>
factorization results 素因数分解の結果
30052862035073181938047537877175217721031489302735779468907929936185984356942575212815212499914062030446937600629413=27881840880802561465916409973114013936367974893643*1077865057890256813528126600188893528199006126319871872758143005391

cado polynomial
n: 30052862035073181938047537877175217721031489302735779468907929936185984356942575212815212499914062030446937600629413
skew: 0.26
type: snfs
c0: 1
c5: 875
Y0: 10000000000000000000000000000000
Y1: -1
# f(x) = 875*x^5+1
# g(x) = -x+10000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 3000000
tasks.lim1 = 3000000
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: 1077865057890256813528126600188893528199006126319871872758143005391 27881840880802561465916409973114013936367974893643
Info:Square Root: Total cpu/real time for sqrt: 55.27/76.9922
Info:Filtering - Singleton removal: Total cpu/real time for purge: 92.69/82.5243
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11664706
Info:Lattice Sieving: Average J: 1894.34 for 186088 special-q, max bucket fill -bkmult 1.0,1s:1.221850
Info:Lattice Sieving: Total time: 40339.4s
Info:Linear Algebra: Total cpu/real time for bwc: 5491.09/7770.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 700.71, WCT time 1050.36, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (9088 iterations)
Info:Linear Algebra: Lingen CPU time 4378.63, WCT time 6111.22
Info:Linear Algebra: Mksol: CPU time 385.51,  WCT time 582.87, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (4608 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 60.88/91.8819
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.53/47.7567
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 47.7s
Info:Filtering - Merging: Merged matrix has 289966 rows and total weight 49481018 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 59.34/30.8265
Info:Filtering - Merging: Total cpu/real time for replay: 9.13/8.9368
Info:Generate Factor Base: Total cpu/real time for makefb: 1.32/2.65474
Info:Quadratic Characters: Total cpu/real time for characters: 9.28/12.7628
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 100.3/87.852
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 76.5s
Info:Square Root: Total cpu/real time for sqrt: 55.27/76.9922
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 49368.4/28590.4
Info:root: Cleaning up computation data in /tmp/cado.2x3af_rl
1077865057890256813528126600188893528199006126319871872758143005391 27881840880802561465916409973114013936367974893643
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)

7×10159+83

c132

name 名前Eric Jeancolas
date 日付June 4, 2022 16:55:22 UTC 2022 年 6 月 5 日 (日) 1 時 55 分 22 秒 (日本時間)
composite number 合成数
335851101680709445250549655238793998370315226433001594421007324913983451741887039646687386666263769939649364286647236683900179910931<132>
prime factors 素因数
16222817180990679239367922475224741529838169480680863387557840331<65>
20702390832231520989610084509066133418615810507317553241499056912601<68>
factorization results 素因数分解の結果
335851101680709445250549655238793998370315226433001594421007324913983451741887039646687386666263769939649364286647236683900179910931=16222817180990679239367922475224741529838169480680863387557840331*20702390832231520989610084509066133418615810507317553241499056912601

cado polynomial
n: 335851101680709445250549655238793998370315226433001594421007324913983451741887039646687386666263769939649364286647236683900179910931
skew: 0.81
type: snfs
c0: 5
c5: 14
Y0: 50000000000000000000000000000000
Y1: -1
# f(x) = 14*x^5+5
# g(x) = -x+50000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 3200000
tasks.lim1 = 3200000
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: 16222817180990679239367922475224741529838169480680863387557840331 20702390832231520989610084509066133418615810507317553241499056912601
Info:Square Root: Total cpu/real time for sqrt: 58.49/19.2964
Info:Generate Free Relations: Total cpu/real time for freerel: 59.16/16.8948
Info:Filtering - Singleton removal: Total cpu/real time for purge: 85.66/75.1649
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11654577
Info:Lattice Sieving: Average J: 1893.69 for 241588 special-q, max bucket fill -bkmult 1.0,1s:1.263370
Info:Lattice Sieving: Total time: 29602.7s
Info:Linear Algebra: Total cpu/real time for bwc: 1577.36/408.79
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 965.01, WCT time 247.68, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (10624 iterations)
Info:Linear Algebra: Lingen CPU time 51.8, WCT time 13.21
Info:Linear Algebra: Mksol: CPU time 531.01,  WCT time 135.82, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (5376 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.04/47.8951
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 47.8s
Info:Filtering - Merging: Merged matrix has 338465 rows and total weight 57570371 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 69.05/19.3806
Info:Filtering - Merging: Total cpu/real time for replay: 10.47/8.72186
Info:Generate Factor Base: Total cpu/real time for makefb: 1.38/0.749401
Info:Quadratic Characters: Total cpu/real time for characters: 10.5/4.13213
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 99.93/84.9554
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 76.4s
Info:Square Root: Total cpu/real time for sqrt: 58.49/19.2964
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 56194/15612.5
Info:root: Cleaning up computation data in /tmp/cado.8ebe31cn
16222817180990679239367922475224741529838169480680863387557840331 20702390832231520989610084509066133418615810507317553241499056912601
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)

7×10160+83

c126

name 名前Eric Jeancolas
date 日付June 6, 2022 03:30:45 UTC 2022 年 6 月 6 日 (月) 12 時 30 分 45 秒 (日本時間)
composite number 合成数
211560310816287044733513165782981169759184992704621450061596154392173026419599409511580341536087666811547805240432250329411269<126>
prime factors 素因数
475127155588985126373533330590354942537<39>
445270930797523221520085790238996610524958043715558295680070817607433576229980598190237<87>
factorization results 素因数分解の結果
211560310816287044733513165782981169759184992704621450061596154392173026419599409511580341536087666811547805240432250329411269=475127155588985126373533330590354942537*445270930797523221520085790238996610524958043715558295680070817607433576229980598190237

cado polynomial
n: 211560310816287044733513165782981169759184992704621450061596154392173026419599409511580341536087666811547805240432250329411269
skew: 1.03
type: snfs
c0: 8
c5: 7
Y0: 100000000000000000000000000000000
Y1: -1
# f(x) = 7*x^5+8
# g(x) = -x+100000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 3400000
tasks.lim1 = 3400000
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: 445270930797523221520085790238996610524958043715558295680070817607433576229980598190237 475127155588985126373533330590354942537
Info:Square Root: Total cpu/real time for sqrt: 66.7/25.4097
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11640233
Info:Lattice Sieving: Average J: 1894.08 for 203434 special-q, max bucket fill -bkmult 1.0,1s:1.263740
Info:Lattice Sieving: Total time: 34472.3s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.66/56.7879
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 56.6s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 102.53/106.773
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 92.9s
Info:Generate Free Relations: Total cpu/real time for freerel: 59.32/21.819
Info:Filtering - Merging: Merged matrix has 376147 rows and total weight 63998482 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 80.32/29.6788
Info:Filtering - Merging: Total cpu/real time for replay: 12.49/10.5072
Info:Linear Algebra: Total cpu/real time for bwc: 2372.54/959.87
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1275.26, WCT time 524.94, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (11776 iterations)
Info:Linear Algebra: Lingen CPU time 363.68, WCT time 128.12
Info:Linear Algebra: Mksol: CPU time 699.43,  WCT time 288.51, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (5888 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 1.43/1.23829
Info:Quadratic Characters: Total cpu/real time for characters: 12.48/6.16971
Info:Square Root: Total cpu/real time for sqrt: 66.7/25.4097
Info:Filtering - Singleton removal: Total cpu/real time for purge: 77.31/110.275
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 50013.6/18809.8
Info:root: Cleaning up computation data in /tmp/cado.9i2b1o8j
445270930797523221520085790238996610524958043715558295680070817607433576229980598190237 475127155588985126373533330590354942537
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)

7×10163+83

c151

name 名前Bob Backstrom
date 日付May 31, 2022 19:49:50 UTC 2022 年 6 月 1 日 (水) 4 時 49 分 50 秒 (日本時間)
composite number 合成数
3686807332660425140738205650464388340739132897592861295861253703562840208000389892453551410767662928255184046514224105903302760389705373756311262781471<151>
prime factors 素因数
103521792957115174445078270511266019772523<42>
35613828038968741041148314921315676104200032200962819567333687267000745523506496466799889382689612588590056477<110>
factorization results 素因数分解の結果
Number: n
N=3686807332660425140738205650464388340739132897592861295861253703562840208000389892453551410767662928255184046514224105903302760389705373756311262781471  ( 151 digits)
SNFS difficulty: 162 digits.
Divisors found:

Wed Jun  1 05:43:43 2022  p42 factor: 103521792957115174445078270511266019772523
Wed Jun  1 05:43:43 2022  p110 factor: 35613828038968741041148314921315676104200032200962819567333687267000745523506496466799889382689612588590056477
Wed Jun  1 05:43:43 2022  elapsed time 00:06:27 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.322).
Factorization parameters were as follows:
#
# N = 7x10^163+8 = 23(162)6
#
n: 3686807332660425140738205650464388340739132897592861295861253703562840208000389892453551410767662928255184046514224105903302760389705373756311262781471
m: 100000000000000000000000000000000
deg: 5
c5: 875
c0: 1
skew: 0.26
# Murphy_E = 5.615e-10
type: snfs
lss: 1
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1055321 hash collisions in 12605468 relations (12371051 unique)
Msieve: matrix is 443248 x 443474 (153.0 MB)

Sieving start time : 2022/06/01 05:15:35
Sieving end time  : 2022/06/01 05:37:01

Total sieving time: 0hrs 21min 26secs.

Total relation processing time: 0hrs 3min 7sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 28sec.

Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000
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)

7×10164+83

c140

name 名前Bob Backstrom
date 日付June 1, 2022 17:21:20 UTC 2022 年 6 月 2 日 (木) 2 時 21 分 20 秒 (日本時間)
composite number 合成数
24461058962072436864258736270365750577753074756903450534029280160533400095483539026519947253260024963789740139471513765753108823118746340299<140>
prime factors 素因数
8885986489361054464431507122110353347582768917058249087441<58>
2752767966883472683195007647400067920246175241416217247069248091613250618044946139<82>
factorization results 素因数分解の結果
Number: n
N=24461058962072436864258736270365750577753074756903450534029280160533400095483539026519947253260024963789740139471513765753108823118746340299  ( 140 digits)
SNFS difficulty: 164 digits.
Divisors found:

Thu Jun  2 03:14:53 2022  p58 factor: 8885986489361054464431507122110353347582768917058249087441
Thu Jun  2 03:14:53 2022  p82 factor: 2752767966883472683195007647400067920246175241416217247069248091613250618044946139
Thu Jun  2 03:14:53 2022  elapsed time 00:07:27 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 7x10^164+8 = 23(163)6
#
n: 24461058962072436864258736270365750577753074756903450534029280160533400095483539026519947253260024963789740139471513765753108823118746340299
m: 500000000000000000000000000000000
deg: 5
c5: 14
c0: 5
skew: 0.81
# Murphy_E = 4.421e-10
type: snfs
lss: 1
rlim: 3900000
alim: 3900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3900000/3900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 14750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1325311 hash collisions in 12911992 relations (12372153 unique)
Msieve: matrix is 479142 x 479367 (164.0 MB)

Sieving start time : 2022/06/02 02:07:20
Sieving end time  : 2022/06/02 03:06:53

Total sieving time: 0hrs 59min 33secs.

Total relation processing time: 0hrs 3min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 50sec.

Prototype def-par.txt line would be:
snfs,164,5,0,0,0,0,0,0,0,0,3900000,3900000,27,27,51,51,2.4,2.4,100000
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)

7×10165+83

c125

name 名前Eric Jeancolas
date 日付June 7, 2022 04:09:33 UTC 2022 年 6 月 7 日 (火) 13 時 9 分 33 秒 (日本時間)
composite number 合成数
42336074614616406844856266592087631740528420792463057728286164818096996369464933038022177628295017600444088776750498751922967<125>
prime factors 素因数
60449515486102006047620761210347624858259003192106617<53>
700354242282552717376573984757240343367344725806867624298344466135681551<72>
factorization results 素因数分解の結果
42336074614616406844856266592087631740528420792463057728286164818096996369464933038022177628295017600444088776750498751922967=60449515486102006047620761210347624858259003192106617*700354242282552717376573984757240343367344725806867624298344466135681551

cado polynomial
n: 42336074614616406844856266592087631740528420792463057728286164818096996369464933038022177628295017600444088776750498751922967
skew: 1.03
type: snfs
c0: 8
c5: 7
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 7*x^5+8
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 4100000
tasks.lim1 = 4100000
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: 60449515486102006047620761210347624858259003192106617 700354242282552717376573984757240343367344725806867624298344466135681551
Info:Square Root: Total cpu/real time for sqrt: 90.21/70.4536
Info:Quadratic Characters: Total cpu/real time for characters: 15.98/12.7606
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 107.25/156.508
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 147.39999999999998s
Info:Square Root: Total cpu/real time for sqrt: 90.21/70.4536
Info:Linear Algebra: Total cpu/real time for bwc: 3919.43/3210.87
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 2118.61, WCT time 1712.05, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (15104 iterations)
Info:Linear Algebra: Lingen CPU time 591.18, WCT time 507.84
Info:Linear Algebra: Mksol: CPU time 1162.56,  WCT time 950.78, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (7552 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 73.74/111.373
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11655028
Info:Lattice Sieving: Average J: 1893.6 for 293657 special-q, max bucket fill -bkmult 1.0,1s:1.209720
Info:Lattice Sieving: Total time: 73483.8s
Info:Generate Free Relations: Total cpu/real time for freerel: 59.41/38.7358
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.73/75.22
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 75.1s
Info:Filtering - Merging: Merged matrix has 482862 rows and total weight 82369184 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 109.19/78.928
Info:Filtering - Merging: Total cpu/real time for replay: 17.81/19.7144
Info:Generate Factor Base: Total cpu/real time for makefb: 1.76/2.24088
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 74005/40798.2
Info:root: Cleaning up computation data in /tmp/cado.xjah9enc
60449515486102006047620761210347624858259003192106617 700354242282552717376573984757240343367344725806867624298344466135681551
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)

7×10169+83

c159

name 名前Bob Backstrom
date 日付June 4, 2022 11:47:36 UTC 2022 年 6 月 4 日 (土) 20 時 47 分 36 秒 (日本時間)
composite number 合成数
567522206321350453680906576296262169438422129583326177445833827425462870782312813763638884268701417173561918814603325671995639151064587610641589277164191891099<159>
prime factors 素因数
48945325783619624275188119828994754214829265777352697837236126401<65>
11595023574473403471937501953130279597099951194755595258286661150534516989755267937826816017499<95>
factorization results 素因数分解の結果
Number: n
N=567522206321350453680906576296262169438422129583326177445833827425462870782312813763638884268701417173561918814603325671995639151064587610641589277164191891099  ( 159 digits)
SNFS difficulty: 169 digits.
Divisors found:

Sat Jun  4 21:43:50 2022  p65 factor: 48945325783619624275188119828994754214829265777352697837236126401
Sat Jun  4 21:43:50 2022  p95 factor: 11595023574473403471937501953130279597099951194755595258286661150534516989755267937826816017499
Sat Jun  4 21:43:50 2022  elapsed time 00:13:13 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# N = 7x10^169+8 = 23(168)6
#
n: 567522206321350453680906576296262169438422129583326177445833827425462870782312813763638884268701417173561918814603325671995639151064587610641589277164191891099
m: 5000000000000000000000000000000000
deg: 5
c5: 14
c0: 5
skew: 0.81
# Murphy_E = 2.809e-10
type: snfs
lss: 1
rlim: 4700000
alim: 4700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4700000/4700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 7950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1112560 hash collisions in 11814289 relations (11437207 unique)
Msieve: matrix is 681876 x 682102 (236.3 MB)

Sieving start time : 2022/06/04 20:48:00
Sieving end time  : 2022/06/04 21:30:10

Total sieving time: 0hrs 42min 10secs.

Total relation processing time: 0hrs 6min 48sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 32sec.

Prototype def-par.txt line would be:
snfs,169,5,0,0,0,0,0,0,0,0,4700000,4700000,27,27,52,52,2.4,2.4,100000
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)

7×10170+83

c142

name 名前Bob Backstrom
date 日付June 8, 2022 12:57:32 UTC 2022 年 6 月 8 日 (水) 21 時 57 分 32 秒 (日本時間)
composite number 合成数
5511349520157414161380531553826255496839411194972968189671359174793274339539683486349725470542103432136115421230950700648595200082671220739431<142>
prime factors 素因数
100337693542546997529749004818397546716778352381<48>
54928006869326654282692416348564009812786682359219156149061803198455749285925415674214820128051<95>
factorization results 素因数分解の結果
Number: n
N=5511349520157414161380531553826255496839411194972968189671359174793274339539683486349725470542103432136115421230950700648595200082671220739431  ( 142 digits)
SNFS difficulty: 170 digits.
Divisors found:

Wed Jun  8 22:53:58 2022  p48 factor: 100337693542546997529749004818397546716778352381
Wed Jun  8 22:53:58 2022  p95 factor: 54928006869326654282692416348564009812786682359219156149061803198455749285925415674214820128051
Wed Jun  8 22:53:58 2022  elapsed time 00:16:48 (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 = 7x10^170+8 = 23(169)6
#
n: 5511349520157414161380531553826255496839411194972968189671359174793274339539683486349725470542103432136115421230950700648595200082671220739431
m: 10000000000000000000000000000000000
deg: 5
c5: 7
c0: 8
skew: 1.03
# Murphy_E = 2.721e-10
type: snfs
lss: 1
rlim: 4900000
alim: 4900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1180273 hash collisions in 12184432 relations (11757464 unique)
Msieve: matrix is 686286 x 686513 (237.4 MB)

Sieving start time : 2022/06/08 22:07:45
Sieving end time  : 2022/06/08 22:36:55

Total sieving time: 0hrs 29min 10secs.

Total relation processing time: 0hrs 10min 0sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 20sec.

Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,4900000,4900000,27,27,52,52,2.4,2.4,100000
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)
403e62078Florian BaurJune 7, 2022 14:07:41 UTC 2022 年 6 月 7 日 (火) 23 時 7 分 41 秒 (日本時間)

7×10172+83

c123

name 名前Eric Jeancolas
date 日付June 3, 2022 16:07:06 UTC 2022 年 6 月 4 日 (土) 1 時 7 分 6 秒 (日本時間)
composite number 合成数
213388394986029980422754377995229181460220643335277654784117986033172711364316455109990164134882312104934911940860961409391<123>
prime factors 素因数
44439229740515423755418079212230722987539<41>
4801802286673815275165069500338890665324399448555907602875918599033466131787442869<82>
factorization results 素因数分解の結果
213388394986029980422754377995229181460220643335277654784117986033172711364316455109990164134882312104934911940860961409391=44439229740515423755418079212230722987539*4801802286673815275165069500338890665324399448555907602875918599033466131787442869

cado polynomial
n: 213388394986029980422754377995229181460220643335277654784117986033172711364316455109990164134882312104934911940860961409391
skew: 106014.833
c0: 32610013769775292493488350980
c1: -677565595548701138994437
c2: 70874351638353754766
c3: -53658546553957
c4: 944121416
c5: 11520
Y0: -594057036655095992398641
Y1: 10660046725808659
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 3.278e-07
# f(x) = 11520*x^5+944121416*x^4-53658546553957*x^3+70874351638353754766*x^2-677565595548701138994437*x+32610013769775292493488350980
# g(x) = 10660046725808659*x-594057036655095992398641

cado parameters (extracts)
tasks.lim0 = 2377918
tasks.lim1 = 9209388
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 57
tasks.sieve.mfb1 = 53
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 44439229740515423755418079212230722987539 4801802286673815275165069500338890665324399448555907602875918599033466131787442869
Info:Square Root: Total cpu/real time for sqrt: 427.02/124.659
Info:Generate Free Relations: Total cpu/real time for freerel: 126/33.0849
Info:Filtering - Singleton removal: Total cpu/real time for purge: 60.8/66.0758
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11632203
Info:Lattice Sieving: Average J: 3783.02 for 151347 special-q, max bucket fill -bkmult 1.0,1s:1.288080
Info:Lattice Sieving: Total time: 66895.2s
Info:Generate Factor Base: Total cpu/real time for makefb: 8.52/2.27708
Info:Linear Algebra: Total cpu/real time for bwc: 6728.54/1730.53
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 4217.12, WCT time 1078.33, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (21248 iterations)
Info:Linear Algebra: Lingen CPU time 114.8, WCT time 29.28
Info:Linear Algebra: Mksol: CPU time 2294.26,  WCT time 585.96, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (10752 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 49.95/57.2265
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 57.1s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2401.54
Info:Polynomial Selection (root optimized): Rootsieve time: 2399.09
Info:Filtering - Merging: Merged matrix has 673297 rows and total weight 115029697 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 139.81/40.1967
Info:Filtering - Merging: Total cpu/real time for replay: 24.16/19.983
Info:Quadratic Characters: Total cpu/real time for characters: 24.5/9.72824
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19925.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20182/36.870/43.547/48.190/0.906
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15816/35.300/38.934/44.290/0.863
Info:Polynomial Selection (size optimized): Total time: 1984.5
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 121.29/106.064
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 94.19999999999999s
Info:Square Root: Total cpu/real time for sqrt: 427.02/124.659
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 97932.6/37117
Info:root: Cleaning up computation data in /tmp/cado.zfhy56bq
44439229740515423755418079212230722987539 4801802286673815275165069500338890665324399448555907602875918599033466131787442869
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)

7×10175+83

c117

name 名前Eric Jeancolas
date 日付June 1, 2022 05:59:31 UTC 2022 年 6 月 1 日 (水) 14 時 59 分 31 秒 (日本時間)
composite number 合成数
106482897318373899547114764968754888723120739075560527756618334530826612753789412100578139142953695791336230030908673<117>
prime factors 素因数
803669252081662341365991797238648042109124909123131397<54>
132495920482912754834420166227644642580650623019826616030031309<63>
factorization results 素因数分解の結果
106482897318373899547114764968754888723120739075560527756618334530826612753789412100578139142953695791336230030908673=803669252081662341365991797238648042109124909123131397*132495920482912754834420166227644642580650623019826616030031309

cado polynomial
n: 106482897318373899547114764968754888723120739075560527756618334530826612753789412100578139142953695791336230030908673
skew: 35838.631
c0: -31108192622295555153871848
c1: -51961941126804376928566
c2: -10140287458432163811
c3: 70611837576319
c4: 2349770892
c5: 28080
Y0: -28390138866019417251103
Y1: 75570929476371103
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 9.415e-07
# f(x) = 28080*x^5+2349770892*x^4+70611837576319*x^3-10140287458432163811*x^2-51961941126804376928566*x-31108192622295555153871848
# g(x) = 75570929476371103*x-28390138866019417251103

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: 803669252081662341365991797238648042109124909123131397 132495920482912754834420166227644642580650623019826616030031309
Info:Square Root: Total cpu/real time for sqrt: 145.51/43.8484
Info:Filtering - Singleton removal: Total cpu/real time for purge: 99.87/116.559
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7563917
Info:Lattice Sieving: Average J: 1888.46 for 190035 special-q, max bucket fill -bkmult 1.0,1s:1.252990
Info:Lattice Sieving: Total time: 26779.7s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.26/3.34727
Info:Linear Algebra: Total cpu/real time for bwc: 2710.42/700.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1669.48, WCT time 427.73, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14464 iterations)
Info:Linear Algebra: Lingen CPU time 73.99, WCT time 18.88
Info:Linear Algebra: Mksol: CPU time 928.66,  WCT time 238.18, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7296 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 63.7/42.3662
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 30.96/33.334
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 32.5s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 312.88
Info:Polynomial Selection (root optimized): Rootsieve time: 311.79
Info:Filtering - Merging: Merged matrix has 461958 rows and total weight 71624850 (155.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 74.87/22.38
Info:Filtering - Merging: Total cpu/real time for replay: 15.58/12.6507
Info:Quadratic Characters: Total cpu/real time for characters: 16.57/6.48578
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): 21973/33.510/41.466/47.130/1.082
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 17462/33.090/36.677/41.880/0.845
Info:Polynomial Selection (size optimized): Total time: 1797.59
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 131.12/141.423
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 102.9s
Info:Square Root: Total cpu/real time for sqrt: 145.51/43.8484
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 43971.5/15472.3
Info:root: Cleaning up computation data in /tmp/cado.0z311cit
803669252081662341365991797238648042109124909123131397 132495920482912754834420166227644642580650623019826616030031309
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)

7×10176+83

c156

name 名前Bob Backstrom
date 日付June 5, 2022 10:53:10 UTC 2022 年 6 月 5 日 (日) 19 時 53 分 10 秒 (日本時間)
composite number 合成数
279992583433365634830975520570917140987716372135021188037961955369787179771612816207944379285320358639493264982648886657857621282465173811230684330062044333<156>
prime factors 素因数
37138483320409731828709749636323894193635379437305033<53>
7539149647489605810294386035007544786997107566962137038052159226562736004108856098951761210646146492101<103>
factorization results 素因数分解の結果
Number: n
N=279992583433365634830975520570917140987716372135021188037961955369787179771612816207944379285320358639493264982648886657857621282465173811230684330062044333  ( 156 digits)
SNFS difficulty: 176 digits.
Divisors found:

Sun Jun  5 20:48:54 2022  p53 factor: 37138483320409731828709749636323894193635379437305033
Sun Jun  5 20:48:54 2022  p103 factor: 7539149647489605810294386035007544786997107566962137038052159226562736004108856098951761210646146492101
Sun Jun  5 20:48:54 2022  elapsed time 00:16:24 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.314).
Factorization parameters were as follows:
#
# N = 7x10^176+8 = 23(175)6
#
n: 279992583433365634830975520570917140987716372135021188037961955369787179771612816207944379285320358639493264982648886657857621282465173811230684330062044333
m: 100000000000000000000000000000000000
deg: 5
c5: 35
c0: 4
skew: 0.65
# Murphy_E = 1.591e-10
type: snfs
lss: 1
rlim: 6100000
alim: 6100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6100000/6100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 15850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3933802 hash collisions in 30448381 relations (28194167 unique)
Msieve: matrix is 780541 x 780766 (265.3 MB)

Sieving start time : 2022/06/05 19:13:59
Sieving end time  : 2022/06/05 20:32:02

Total sieving time: 1hrs 18min 3secs.

Total relation processing time: 0hrs 8min 43sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 41sec.

Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,6100000,6100000,28,28,53,53,2.5,2.5,100000
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)

7×10177+83

c154

name 名前Bob Backstrom
date 日付June 15, 2022 06:10:37 UTC 2022 年 6 月 15 日 (水) 15 時 10 分 37 秒 (日本時間)
composite number 合成数
1072511293227390377590701476978773076100942957240853206573521889039473681096157156342371046433330636198650540347624325358733603735573961737022455401636321<154>
prime factors 素因数
4851300309778360108532202372441719090235650800183<49>
221077077225175919276971617206810686111777643676279420101150095385476959098807338209835294028420277278887<105>
factorization results 素因数分解の結果
Number: n
N=1072511293227390377590701476978773076100942957240853206573521889039473681096157156342371046433330636198650540347624325358733603735573961737022455401636321  ( 154 digits)
SNFS difficulty: 177 digits.
Divisors found:

Wed Jun 15 15:59:03 2022  p49 factor: 4851300309778360108532202372441719090235650800183
Wed Jun 15 15:59:03 2022  p105 factor: 221077077225175919276971617206810686111777643676279420101150095385476959098807338209835294028420277278887
Wed Jun 15 15:59:03 2022  elapsed time 00:19:56 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.332).
Factorization parameters were as follows:
#
# N = 7x10^177+8 = 23(176)6
#
n: 1072511293227390377590701476978773076100942957240853206573521889039473681096157156342371046433330636198650540347624325358733603735573961737022455401636321
m: 100000000000000000000000000000000000
deg: 5
c5: 175
c0: 2
skew: 0.41
# Murphy_E = 1.234e-10
type: snfs
lss: 1
rlim: 6300000
alim: 6300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6300000/6300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 15950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4246508 hash collisions in 30059800 relations (27351880 unique)
Msieve: matrix is 888068 x 888296 (302.2 MB)

Sieving start time : 2022/06/15 13:59:04
Sieving end time  : 2022/06/15 15:38:36

Total sieving time: 1hrs 39min 32secs.

Total relation processing time: 0hrs 12min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 54sec.

Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,6300000,6300000,28,28,53,53,2.5,2.5,100000
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 13:45:47 UTC 2022 年 6 月 9 日 (木) 22 時 45 分 47 秒 (日本時間)

7×10181+83

c180

name 名前Bob Backstrom
date 日付June 7, 2022 00:01:07 UTC 2022 年 6 月 7 日 (火) 9 時 1 分 7 秒 (日本時間)
composite number 合成数
224358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974359<180>
prime factors 素因数
451761534547889229887396648592155860161113026875340651<54>
496631424327674941801459894987042037074993388834421825260396454847969152391331001221972976342361283307108766140739026904133509<126>
factorization results 素因数分解の結果
Number: n
N=224358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974359  ( 180 digits)
SNFS difficulty: 181 digits.
Divisors found:

Tue Jun  7 09:55:53 2022  p54 factor: 451761534547889229887396648592155860161113026875340651
Tue Jun  7 09:55:53 2022  p126 factor: 496631424327674941801459894987042037074993388834421825260396454847969152391331001221972976342361283307108766140739026904133509
Tue Jun  7 09:55:53 2022  elapsed time 00:18:25 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.344).
Factorization parameters were as follows:
#
# N = 7x10^181+8 = 23(180)6
#
n: 224358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974359
m: 1000000000000000000000000000000000000
deg: 5
c5: 35
c0: 4
skew: 0.65
# Murphy_E = 9.998e-11
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2870296 hash collisions in 29069688 relations (28031906 unique)
Msieve: matrix is 842826 x 843051 (287.7 MB)

Sieving start time : 2022/06/07 06:14:53
Sieving end time  : 2022/06/07 09:37:02

Total sieving time: 3hrs 22min 9secs.

Total relation processing time: 0hrs 10min 43sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 47sec.

Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,53,53,2.5,2.5,100000
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)

7×10183+83

c162

name 名前Bob Backstrom
date 日付June 18, 2022 20:36:02 UTC 2022 年 6 月 19 日 (日) 5 時 36 分 2 秒 (日本時間)
composite number 合成数
148536259350994268441266009270290535636245602219072926051151343482564279668392802854842986797488485538398961487882468493068450680428519434756393139479428027063107<162>
prime factors 素因数
1543391864442388758916619571017884172897<40>
96240146636161553209367585427618156824704352217029143519172463322482694419827589630153641566963713125652849296140988368931<122>
factorization results 素因数分解の結果
Number: n
N=148536259350994268441266009270290535636245602219072926051151343482564279668392802854842986797488485538398961487882468493068450680428519434756393139479428027063107  ( 162 digits)
SNFS difficulty: 182 digits.
Divisors found:

Sun Jun 19 02:19:23 2022  p40 factor: 1543391864442388758916619571017884172897
Sun Jun 19 02:19:23 2022  p122 factor: 96240146636161553209367585427618156824704352217029143519172463322482694419827589630153641566963713125652849296140988368931
Sun Jun 19 02:19:23 2022  elapsed time 00:19:43 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.352).
Factorization parameters were as follows:
#
# N = 7x10^183+8 = 23(182)6
#
n: 148536259350994268441266009270290535636245602219072926051151343482564279668392802854842986797488485538398961487882468493068450680428519434756393139479428027063107
m: 1000000000000000000000000000000000000
deg: 5
c5: 875
c0: 1
skew: 0.26
# Murphy_E = 8.973e-11
type: snfs
lss: 1
rlim: 7800000
alim: 7800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7800000/7800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 9500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2991619 hash collisions in 28953481 relations (27750111 unique)
Msieve: matrix is 846714 x 846940 (291.5 MB)

Sieving start time : 2022/06/18 22:54:30
Sieving end time  : 2022/06/19 01:58:53

Total sieving time: 3hrs 4min 23secs.

Total relation processing time: 0hrs 10min 50sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 53sec.

Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,7800000,7800000,28,28,53,53,2.5,2.5,100000
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 10:28:03 UTC 2022 年 6 月 9 日 (木) 19 時 28 分 3 秒 (日本時間)

7×10184+83

c141

name 名前Eric Jeancolas
date 日付July 19, 2022 10:20:36 UTC 2022 年 7 月 19 日 (火) 19 時 20 分 36 秒 (日本時間)
composite number 合成数
145457479027444720420399346945972584573308512664185587153573813456421962153754157792374606046653868032694288435100777416454049801331857640787<141>
prime factors 素因数
9969496409534980865711952986760657270565771636601386232025910889<64>
14590253414237346360820969485610737453500841326584184232603842205066429333083<77>
factorization results 素因数分解の結果
145457479027444720420399346945972584573308512664185587153573813456421962153754157792374606046653868032694288435100777416454049801331857640787=9969496409534980865711952986760657270565771636601386232025910889*14590253414237346360820969485610737453500841326584184232603842205066429333083

cado polynomial
n: 145457479027444720420399346945972584573308512664185587153573813456421962153754157792374606046653868032694288435100777416454049801331857640787
skew: 0.81
type: snfs
c0: 5
c5: 14
Y0: 5000000000000000000000000000000000000
Y1: -1
# f(x) = 14*x^5+5
# g(x) = -x+5000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 8400000
tasks.lim1 = 8400000
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: 9969496409534980865711952986760657270565771636601386232025910889 14590253414237346360820969485610737453500841326584184232603842205066429333083
Info:Square Root: Total cpu/real time for sqrt: 700.36/217.089
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 91.07/101.594
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 101.39999999999999s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 251.74/226.292
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 196.40000000000003s
Info:Square Root: Total cpu/real time for sqrt: 700.36/217.089
Info:Generate Factor Base: Total cpu/real time for makefb: 3.52/2.05359
Info:Filtering - Merging: Merged matrix has 1514195 rows and total weight 258551114 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 385.84/107.998
Info:Filtering - Merging: Total cpu/real time for replay: 59.54/50.6846
Info:Linear Algebra: Total cpu/real time for bwc: 37045.1/9563.76
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 23628.33, WCT time 6071.65, iteration CPU time 0.12, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (47360 iterations)
Info:Linear Algebra: Lingen CPU time 295.41, WCT time 75.15
Info:Linear Algebra: Mksol: CPU time 12850.68,  WCT time 3312.87, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (23808 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 126.69/149.425
Info:Quadratic Characters: Total cpu/real time for characters: 55.71/22.8153
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22635667
Info:Lattice Sieving: Average J: 1894.86 for 1073931 special-q, max bucket fill -bkmult 1.0,1s:1.159900
Info:Lattice Sieving: Total time: 192461s
Info:Generate Free Relations: Total cpu/real time for freerel: 117.52/32.1332
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 397123/13349.8
9969496409534980865711952986760657270565771636601386232025910889*14590253414237346360820969485610737453500841326584184232603842205066429333083
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 19:32:20 UTC 2022 年 6 月 9 日 (木) 4 時 32 分 20 秒 (日本時間)

7×10186+83

c136

name 名前Bob Backstrom
date 日付June 24, 2022 02:17:59 UTC 2022 年 6 月 24 日 (金) 11 時 17 分 59 秒 (日本時間)
composite number 合成数
7380491846144365513405112962191670023443934467551601722529549482792753816231733839138923088260951248001479841935731374199724517333519593<136>
prime factors 素因数
21419462763813213862272825280136278569342148020713<50>
344569419295297424501462486882848432336953507496632163474607269189183989470134175189761<87>
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 7380491846144365513405112962191670023443934467551601722529549482792753816231733839138923088260951248001479841935731374199724517333519593 (136 digits)
Using B1=38910000, B2=192392390206, polynomial Dickson(12), sigma=1:713348670
Step 1 took 75225ms
Step 2 took 25115ms
********** Factor found in step 2: 21419462763813213862272825280136278569342148020713
Found prime factor of 50 digits: 21419462763813213862272825280136278569342148020713
Prime cofactor 344569419295297424501462486882848432336953507496632163474607269189183989470134175189761 has 87 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 SantosJune 10, 2022 08:37:24 UTC 2022 年 6 月 10 日 (金) 17 時 37 分 24 秒 (日本時間)

7×10187+83

c145

name 名前Ignacio Santos
date 日付June 10, 2022 09:18:29 UTC 2022 年 6 月 10 日 (金) 18 時 18 分 29 秒 (日本時間)
composite number 合成数
2048121347187641444173755071153153796130177045043162351529783615640479327508738870036879555561784630369531999143709618572655679090516958546007083<145>
prime factors 素因数
496459506122868266251603163433227<33>
4125454990644803852288819450391750321507473482770983993663962321804569290270831249956045646606751279549002290529<112>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3591500223
Step 1 took 5922ms
********** Factor found in step 1: 496459506122868266251603163433227
Found prime factor of 33 digits: 496459506122868266251603163433227
Prime cofactor 4125454990644803852288819450391750321507473482770983993663962321804569290270831249956045646606751279549002290529 has 112 digits
 
software ソフトウェア
GMP-ECM

ECM

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

7×10188+83

c145

name 名前Bob Backstrom
date 日付September 8, 2022 07:37:55 UTC 2022 年 9 月 8 日 (木) 16 時 37 分 55 秒 (日本時間)
composite number 合成数
1396858914807655143118434414496647176772089906563036012108999253853480978811521905157229178606102912546792513128418636055739010736938591551499837<145>
prime factors 素因数
8380929850996414526188346149490645312851193<43>
166671114022220532487895686967580507370471547681233621690961863602794455543793359086617149508076228709<102>
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 1396858914807655143118434414496647176772089906563036012108999253853480978811521905157229178606102912546792513128418636055739010736938591551499837 (145 digits)
Using B1=15440000, B2=46847878360, polynomial Dickson(12), sigma=1:3693573390
Step 1 took 32414ms
Step 2 took 12425ms
********** Factor found in step 2: 8380929850996414526188346149490645312851193
Found prime factor of 43 digits: 8380929850996414526188346149490645312851193
Prime cofactor 166671114022220532487895686967580507370471547681233621690961863602794455543793359086617149508076228709 has 102 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 SantosJune 10, 2022 16:30:05 UTC 2022 年 6 月 11 日 (土) 1 時 30 分 5 秒 (日本時間)

7×10189+83

c134

name 名前Eric Jeancolas
date 日付July 15, 2022 18:50:46 UTC 2022 年 7 月 16 日 (土) 3 時 50 分 46 秒 (日本時間)
composite number 合成数
36310045321427964728510885055831760183505149227861087221059389725366207902129300437400661536841247896848352058416754801032875462625287<134>
prime factors 素因数
187027991640765252249967247173181502987006385969614780887361333917<66>
194142304597755754915529957666997896626177345606060685816028777306611<69>
factorization results 素因数分解の結果
36310045321427964728510885055831760183505149227861087221059389725366207902129300437400661536841247896848352058416754801032875462625287=187027991640765252249967247173181502987006385969614780887361333917*194142304597755754915529957666997896626177345606060685816028777306611

cado polynomial
n: 36310045321427964728510885055831760183505149227861087221059389725366207902129300437400661536841247896848352058416754801032875462625287
skew: 281272.126
c0: 247015593168361248323113607083110
c1: 1080958088088038876018298043
c2: -4214247919205738698920
c3: -90534665023218427
c4: 10752655410
c5: 214200
Y0: -87326489000770946642710744
Y1: 6549978905325292103
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.368e-07
# f(x) = 214200*x^5+10752655410*x^4-90534665023218427*x^3-4214247919205738698920*x^2+1080958088088038876018298043*x+247015593168361248323113607083110
# g(x) = 6549978905325292103*x-87326489000770946642710744

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: 194142304597755754915529957666997896626177345606060685816028777306611 187027991640765252249967247173181502987006385969614780887361333917
Info:Square Root: Total cpu/real time for sqrt: 422.31/126.238
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 196.36/166.175
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 152.9s
Info:Square Root: Total cpu/real time for sqrt: 422.31/126.238
Info:Filtering - Singleton removal: Total cpu/real time for purge: 93.96/102.758
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17020791
Info:Lattice Sieving: Average J: 3799.96 for 557848 special-q, max bucket fill -bkmult 1.0,1s:1.172810
Info:Lattice Sieving: Total time: 189963s
Info:Generate Factor Base: Total cpu/real time for makefb: 15.18/4.03978
Info:Generate Free Relations: Total cpu/real time for freerel: 247.88/62.8321
Info:Linear Algebra: Total cpu/real time for bwc: 24005/6157.74
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 15243.29, WCT time 3895.28, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (38912 iterations)
Info:Linear Algebra: Lingen CPU time 238.25, WCT time 60.48
Info:Linear Algebra: Mksol: CPU time 8313.38,  WCT time 2124.38, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (19456 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 77.47/87.7633
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 87.7s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6595.04
Info:Polynomial Selection (root optimized): Rootsieve time: 6592.56
Info:Filtering - Merging: Merged matrix has 1241338 rows and total weight 212374469 (171.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 326.17/90.8467
Info:Filtering - Merging: Total cpu/real time for replay: 45.51/39.0847
Info:Quadratic Characters: Total cpu/real time for characters: 41.32/17.1736
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): 54047/39.620/47.983/52.710/0.968
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 44283/38.320/42.809/48.600/1.030
Info:Polynomial Selection (size optimized): Total time: 11148.8
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 399126/107172
Info:root: Cleaning up computation data in /tmp/cado.jk8_u9on
194142304597755754915529957666997896626177345606060685816028777306611 187027991640765252249967247173181502987006385969614780887361333917
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 21, 2022 19:09:16 UTC 2022 年 6 月 22 日 (水) 4 時 9 分 16 秒 (日本時間)

7×10190+83

c150

name 名前Bob Backstrom
date 日付July 11, 2022 10:23:35 UTC 2022 年 7 月 11 日 (月) 19 時 23 分 35 秒 (日本時間)
composite number 合成数
274789276727462119118648102631939647456907707308878409457023994702277699804394687094251552104711374315277762180537094878388424676475967031542446224427<150>
prime factors 素因数
80263014122109265603031701342190517855259117592087524024572687016649<68>
3423610236084675159087926050139043199430031644305033625109584653801764626947933523<82>
factorization results 素因数分解の結果
Number: n
N=274789276727462119118648102631939647456907707308878409457023994702277699804394687094251552104711374315277762180537094878388424676475967031542446224427  ( 150 digits)
SNFS difficulty: 190 digits.
Divisors found:

Mon Jul 11 20:16:38 2022  p68 factor: 80263014122109265603031701342190517855259117592087524024572687016649
Mon Jul 11 20:16:38 2022  p82 factor: 3423610236084675159087926050139043199430031644305033625109584653801764626947933523
Mon Jul 11 20:16:38 2022  elapsed time 00:33:28 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.311).
Factorization parameters were as follows:
#
# N = 7x10^190+8 = 23(189)6
#
n: 274789276727462119118648102631939647456907707308878409457023994702277699804394687094251552104711374315277762180537094878388424676475967031542446224427
m: 100000000000000000000000000000000000000
deg: 5
c5: 7
c0: 8
skew: 1.03
# Murphy_E = 4.217e-11
type: snfs
lss: 1
rlim: 10600000
alim: 10600000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10600000/10600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 18100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3148935 hash collisions in 28985071 relations (27582085 unique)
Msieve: matrix is 1181415 x 1181640 (408.3 MB)

Sieving start time : 2022/07/11 13:59:44
Sieving end time  : 2022/07/11 19:42:10

Total sieving time: 5hrs 42min 26secs.

Total relation processing time: 0hrs 23min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 25sec.

Prototype def-par.txt line would be:
snfs,190,5,0,0,0,0,0,0,0,0,10600000,10600000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116830] 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)
[    0.153517] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798712)
[    0.152024] smpboot: Total of 16 processors activated (102389.69 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 21, 2022 19:58:58 UTC 2022 年 6 月 22 日 (水) 4 時 58 分 58 秒 (日本時間)

7×10192+83

c185

name 名前Bob Backstrom
date 日付June 22, 2022 22:35:47 UTC 2022 年 6 月 23 日 (木) 7 時 35 分 47 秒 (日本時間)
composite number 合成数
12177156953379984230372994110862479080166232248331948686212103000155046520705835890640669174158993005065293706832761417500673188028259855185352820180145937450634675507922785357512908517<185>
prime factors 素因数
25185270523052730281427499999327274951067822367443742641933213055123<68>
483503123074811411848902780844847329756615904492543764965851273143156783817611500399897774909285114736219419585760679<117>
factorization results 素因数分解の結果
Number: n
N=12177156953379984230372994110862479080166232248331948686212103000155046520705835890640669174158993005065293706832761417500673188028259855185352820180145937450634675507922785357512908517  ( 185 digits)
SNFS difficulty: 192 digits.
Divisors found:

Thu Jun 23 08:19:51 2022  p68 factor: 25185270523052730281427499999327274951067822367443742641933213055123
Thu Jun 23 08:19:51 2022  p117 factor: 483503123074811411848902780844847329756615904492543764965851273143156783817611500399897774909285114736219419585760679
Thu Jun 23 08:19:51 2022  elapsed time 00:48:36 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 7x10^192+8 = 23(191)6
#
n: 12177156953379984230372994110862479080166232248331948686212103000155046520705835890640669174158993005065293706832761417500673188028259855185352820180145937450634675507922785357512908517
m: 100000000000000000000000000000000000000
deg: 5
c5: 175
c0: 2
skew: 0.41
# Murphy_E = 3.019e-11
type: snfs
lss: 1
rlim: 11200000
alim: 11200000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11200000/11200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3294583 hash collisions in 28650588 relations (27023648 unique)
Msieve: matrix is 1411980 x 1412207 (490.6 MB)

Sieving start time : 2022/06/23 02:38:33
Sieving end time  : 2022/06/23 07:30:46

Total sieving time: 4hrs 52min 13secs.

Total relation processing time: 0hrs 36min 56sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 40sec.

Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,11200000,11200000,28,28,55,55,2.5,2.5,100000
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)

7×10193+83

c185

name 名前Bob Backstrom
date 日付June 25, 2022 18:31:42 UTC 2022 年 6 月 26 日 (日) 3 時 31 分 42 秒 (日本時間)
composite number 合成数
83264882462958855757427377392484363259502885432688911674601524485789629761415470266876509396051830495651865015844736173507038532770378987201940149792476792340590024853758556335006843279<185>
prime factors 素因数
1293099286887806433465794985954495779611<40>
83166236862175669828798199036676546626288651<44>
774253095435390191786670362268733841917007049898897701601978334734150338738590462052615733173923131639<102>
factorization results 素因数分解の結果
Number: n
N=64391716326252364616243444977781280559915852188112878908043309002937388557085436928390236769656322770225527409460814236319634449894105385884728989  ( 146 digits)
SNFS difficulty: 192 digits.
Divisors found:

Sun Jun 26 04:27:00 2022  p44 factor: 83166236862175669828798199036676546626288651
Sun Jun 26 04:27:00 2022  p102 factor: 774253095435390191786670362268733841917007049898897701601978334734150338738590462052615733173923131639
Sun Jun 26 04:27:00 2022  elapsed time 00:41:12 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.331).
Factorization parameters were as follows:
#
# N = 7x10^193+8 = 23(192)6
#
# n: 83264882462958855757427377392484363259502885432688911674601524485789629761415470266876509396051830495651865015844736173507038532770378987201940149792476792340590024853758556335006843279
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 83264882462958855757427377392484363259502885432688911674601524485789629761415470266876509396051830495651865015844736173507038532770378987201940149792476792340590024853758556335006843279 (185 digits)
# Using B1=18590000, B2=70271005360, polynomial Dickson(12), sigma=1:28832599
# Step 1 took 50637ms
# Step 2 took 21607ms
# ********** Factor found in step 2: 1293099286887806433465794985954495779611
# Found prime factor of 40 digits: 1293099286887806433465794985954495779611
# Composite cofactor 64391716326252364616243444977781280559915852188112878908043309002937388557085436928390236769656322770225527409460814236319634449894105385884728989 has 146 digits
#
n: 64391716326252364616243444977781280559915852188112878908043309002937388557085436928390236769656322770225527409460814236319634449894105385884728989
m: 100000000000000000000000000000000000000
deg: 5
c5: 875
c0: 1
skew: 0.26
# Murphy_E = 3.492e-11
type: snfs
lss: 1
rlim: 11500000
alim: 11500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11500000/11500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2992511 hash collisions in 28747135 relations (27519448 unique)
Msieve: matrix is 1283969 x 1284194 (450.9 MB)

Sieving start time : 2022/06/25 22:20:27
Sieving end time  : 2022/06/26 03:44:49

Total sieving time: 5hrs 24min 22secs.

Total relation processing time: 0hrs 29min 56sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 9sec.

Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,11500000,11500000,28,28,55,55,2.5,2.5,100000
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)

7×10194+83

c184

name 名前Bob Backstrom
date 日付July 16, 2022 20:30:46 UTC 2022 年 7 月 17 日 (日) 5 時 30 分 46 秒 (日本時間)
composite number 合成数
9257410001976124826651546021553468665835863527108977153192336654340723602134948719088832080222860632753501890437022985083321867290453085744645539261461957638113202349485926696410932369<184>
prime factors 素因数
5388606755227282654747246114436596423625930073956685087533818259<64>
1717959840546141755586887931716821347866909841225777029077209293498390992700568856416495375939955917703969629377046841291<121>
factorization results 素因数分解の結果
Number: n
N=9257410001976124826651546021553468665835863527108977153192336654340723602134948719088832080222860632753501890437022985083321867290453085744645539261461957638113202349485926696410932369  ( 184 digits)
SNFS difficulty: 194 digits.
Divisors found:

Sun Jul 17 06:26:22 2022  p64 factor: 5388606755227282654747246114436596423625930073956685087533818259
Sun Jul 17 06:26:22 2022  p121 factor: 1717959840546141755586887931716821347866909841225777029077209293498390992700568856416495375939955917703969629377046841291
Sun Jul 17 06:26:22 2022  elapsed time 00:55:26 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 7x10^194+8 = 23(193)6
#
n: 9257410001976124826651546021553468665835863527108977153192336654340723602134948719088832080222860632753501890437022985083321867290453085744645539261461957638113202349485926696410932369
m: 500000000000000000000000000000000000000
deg: 5
c5: 14
c0: 5
skew: 0.81
# Murphy_E = 2.717e-11
type: snfs
lss: 1
rlim: 12300000
alim: 12300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12300000/12300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2671537 hash collisions in 27946981 relations (26432986 unique)
Msieve: matrix is 1505115 x 1505340 (523.2 MB)

Sieving start time : 2022/07/17 00:57:52
Sieving end time  : 2022/07/17 05:30:27

Total sieving time: 4hrs 32min 35secs.

Total relation processing time: 0hrs 46min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 36sec.

Prototype def-par.txt line would be:
snfs,194,5,0,0,0,0,0,0,0,0,12300000,12300000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119387] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153505] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.16 BogoMIPS (lpj=12798328)
[    0.152037] smpboot: Total of 16 processors activated (102386.62 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)

7×10195+83

c160

name 名前Ignacio Santos
date 日付July 19, 2022 11:18:42 UTC 2022 年 7 月 19 日 (火) 20 時 18 分 42 秒 (日本時間)
composite number 合成数
1508937077721461600595810492476365769063588781696117762164048426365796012255567898192226981350368376715300055847690860306521767749949028481193191616139525134617<160>
prime factors 素因数
5401496537290169031456889948086293<34>
composite cofactor 合成数の残り
279355372590587170952937924965919498428063651109824228245565656816665059909992304935368511748884276131135574112839598932922869<126>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3639979449
Step 1 took 4937ms
Step 2 took 2516ms
********** Factor found in step 1: 5401496537290169031456889948086293
Found prime factor of 34 digits: 5401496537290169031456889948086293
Composite cofactor 279355372590587170952937924965919498428063651109824228245565656816665059909992304935368511748884276131135574112839598932922869 has 126 digits
software ソフトウェア
GMP-ECM

c126

name 名前Ignacio Santos
date 日付July 20, 2022 09:02:12 UTC 2022 年 7 月 20 日 (水) 18 時 2 分 12 秒 (日本時間)
composite number 合成数
279355372590587170952937924965919498428063651109824228245565656816665059909992304935368511748884276131135574112839598932922869<126>
prime factors 素因数
2771215904137088530399215914289079886579<40>
100806065732209299397259302378069173310326758124611379388715330501385057631920651739511<87>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1657381257
Step 1 took 4875ms
Step 2 took 3032ms
********** Factor found in step 2: 2771215904137088530399215914289079886579
Found prime factor of 40 digits: 2771215904137088530399215914289079886579
Prime cofactor 100806065732209299397259302378069173310326758124611379388715330501385057631920651739511 has 87 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)

7×10196+83

c196

name 名前ebina
date 日付July 22, 2022 20:09:59 UTC 2022 年 7 月 23 日 (土) 5 時 9 分 59 秒 (日本時間)
composite number 合成数
2916666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667<196>
prime factors 素因数
22705092682229314012333356172597021728065230095841110181237<59>
128458699001456438405368663744474307662723244713245430957413863927584755332304779859766815650143264194485157652761394157186615715017919391<138>
factorization results 素因数分解の結果
Number: 23336_196
N = 2916666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667 (196 digits)
SNFS difficulty: 197 digits.
Divisors found:
r1=22705092682229314012333356172597021728065230095841110181237 (pp59)
r2=128458699001456438405368663744474307662723244713245430957413863927584755332304779859766815650143264194485157652761394157186615715017919391 (pp138)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 40.77 hours.
Factorization parameters were as follows:
n: 2916666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667
m: 1000000000000000000000000000000000000000
deg: 5
c5: 35
c0: 4
skew: 0.65
# Murphy_E = 2.418e-11
type: snfs
lss: 1
rlim: 13200000
alim: 13200000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13200000/13200000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 26223503
Relations: 2624466 relations
Pruned matrix : 1738813 x 1739039
Total sieving time: 39.27 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 1.22 hours.
time per square root: 0.09 hours.
Prototype def-par.txt line would be: snfs,197,5,0,0,0,0,0,0,0,0,13200000,13200000,28,28,55,55,2.5,2.5,100000
total time: 40.77 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
processors: 8, speed: 3.19GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
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)

7×10198+83

c193

name 名前Bob Backstrom
date 日付July 26, 2022 22:08:23 UTC 2022 年 7 月 27 日 (水) 7 時 8 分 23 秒 (日本時間)
composite number 合成数
1891323472513125784899241092947200733185053573088304271797232831646272795851625133203210278424430279332265546138565922890201647504857999433683714516069764978741524168952466177732530115273463759<193>
prime factors 素因数
25274919587933929345634350242656780651<38>
74830049050523208936834811412146244912373458113966621030468089454250291800083810855965936761109569589408792529820867418146514914734680644075039059766052909<155>
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 1891323472513125784899241092947200733185053573088304271797232831646272795851625133203210278424430279332265546138565922890201647504857999433683714516069764978741524168952466177732530115273463759 (193 digits)
Using B1=20750000, B2=70272954580, polynomial Dickson(12), sigma=1:3414900179
Step 1 took 57313ms
********** Factor found in step 1: 25274919587933929345634350242656780651
Found prime factor of 38 digits: 25274919587933929345634350242656780651
Prime cofactor 74830049050523208936834811412146244912373458113966621030468089454250291800083810855965936761109569589408792529820867418146514914734680644075039059766052909 has 155 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)

7×10200+83

c167

name 名前Bob Backstrom
date 日付September 6, 2022 23:41:50 UTC 2022 年 9 月 7 日 (水) 8 時 41 分 50 秒 (日本時間)
composite number 合成数
16120853726522333138066754370494482917953083869572777483823039632738193999900493442398707263498603092872269070301029822141639905504168749729173530395446875901696442651<167>
prime factors 素因数
36538814731846949608616521695655568078764440923912836176931418177085647922899337761<83>
441198047742679544122859918863408216911026682934338681661088382016980610837193282491<84>
factorization results 素因数分解の結果
Number: n
N=16120853726522333138066754370494482917953083869572777483823039632738193999900493442398707263498603092872269070301029822141639905504168749729173530395446875901696442651  ( 167 digits)
SNFS difficulty: 200 digits.
Divisors found:

Tue Sep  6 06:02:56 2022  p83 factor: 36538814731846949608616521695655568078764440923912836176931418177085647922899337761
Tue Sep  6 06:02:56 2022  p84 factor: 441198047742679544122859918863408216911026682934338681661088382016980610837193282491
Tue Sep  6 06:02:56 2022  elapsed time 01:17:04 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.332).
Factorization parameters were as follows:
#
# N = 7x10^200+8 = 23(199)6
#
n: 16120853726522333138066754370494482917953083869572777483823039632738193999900493442398707263498603092872269070301029822141639905504168749729173530395446875901696442651
m: 10000000000000000000000000000000000000000
deg: 5
c5: 7
c0: 8
skew: 1.03
# Murphy_E = 1.618e-11
type: snfs
lss: 1
rlim: 13600000
alim: 13600000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 13600000/13600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 19600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3553664 hash collisions in 28158398 relations (26137343 unique)
Msieve: matrix is 1869897 x 1870123 (651.8 MB)

Sieving start time : 2022/09/05 22:10:34
Sieving end time  : 2022/09/06 04:45:08

Total sieving time: 6hrs 34min 34secs.

Total relation processing time: 1hrs 6min 35sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 15sec.

Prototype def-par.txt line would be:
snfs,200,5,0,0,0,0,0,0,0,0,13600000,13600000,28,28,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric 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 SantosSeptember 4, 2022 08:02:17 UTC 2022 年 9 月 4 日 (日) 17 時 2 分 17 秒 (日本時間)

7×10201+83

c195

name 名前Bob Backstrom
date 日付November 2, 2022 07:21:35 UTC 2022 年 11 月 2 日 (水) 16 時 21 分 35 秒 (日本時間)
composite number 合成数
143766616340135712399731000337974776927610469035710477365958989874393982635950230790603019624718196893885285412880470134908949726539465250623002362865953814276205737750303840474590852532748802917<195>
prime factors 素因数
1155288511593202059496309960654930376900020270308761<52>
24514028637680736994256196790402727897567759145591217825081638239<65>
5076365777419299572886939966745315105251148522577828815573547136088942087454323<79>
factorization results 素因数分解の結果
Number: n
N=143766616340135712399731000337974776927610469035710477365958989874393982635950230790603019624718196893885285412880470134908949726539465250623002362865953814276205737750303840474590852532748802917  ( 195 digits)
SNFS difficulty: 201 digits.
Divisors found:

Wed Nov  2 18:13:20 2022  found factor: 5076365777419299572886939966745315105251148522577828815573547136088942087454323
Wed Nov  2 18:15:58 2022  p52 factor: 1155288511593202059496309960654930376900020270308761
Wed Nov  2 18:15:58 2022  p65 factor: 24514028637680736994256196790402727897567759145591217825081638239
Wed Nov  2 18:15:58 2022  p79 factor: 5076365777419299572886939966745315105251148522577828815573547136088942087454323
Wed Nov  2 18:15:58 2022  elapsed time 01:34:37 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.314).
Factorization parameters were as follows:
#
# N = 7x10^201+8 = 23(200)6
#
n: 143766616340135712399731000337974776927610469035710477365958989874393982635950230790603019624718196893885285412880470134908949726539465250623002362865953814276205737750303840474590852532748802917
m: 10000000000000000000000000000000000000000
deg: 5
c5: 35
c0: 4
skew: 0.65
# Murphy_E = 1.494e-11
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 27
lpba: 27
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 55/55
Sieved  special-q in [100000, 28000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2005243 hash collisions in 14206787 relations (12925192 unique)
Msieve: matrix is 2115569 x 2115794 (738.5 MB)

Sieving start time : 2022/11/02 07:56:05
Sieving end time  : 2022/11/02 16:40:58

Total sieving time: 8hrs 44min 53secs.

Total relation processing time: 1hrs 24min 28sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 15sec.

Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,16000000,16000000,27,27,55,55,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

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

7×10202+83

c189

name 名前Bob Backstrom
date 日付June 21, 2023 05:25:03 UTC 2023 年 6 月 21 日 (水) 14 時 25 分 3 秒 (日本時間)
composite number 合成数
618949970300570557836376236206026449277593114565084750415779245519528751709168765686173151259371382387866678214150234330319405848062557705459430922099328286280698519075631743194605164122289<189>
prime factors 素因数
4544547822376022619192382270364278924601347732894253<52>
113145109106680306302564296073653274728406364435325129<54>
1203729996162588764602868369009870916757016072860683974974780362590179573736928943597<85>
factorization results 素因数分解の結果
Number: n
N=618949970300570557836376236206026449277593114565084750415779245519528751709168765686173151259371382387866678214150234330319405848062557705459430922099328286280698519075631743194605164122289  ( 189 digits)
SNFS difficulty: 202 digits.
Divisors found:

Wed Jun 21 15:13:31 2023  prp52 factor: 4544547822376022619192382270364278924601347732894253
Wed Jun 21 15:13:31 2023  prp54 factor: 113145109106680306302564296073653274728406364435325129
Wed Jun 21 15:13:31 2023  prp85 factor: 1203729996162588764602868369009870916757016072860683974974780362590179573736928943597
Wed Jun 21 15:13:31 2023  elapsed time 04:03:18 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.086).
Factorization parameters were as follows:
#
# N = 7x10^202+8 = 23(201)6
#
n: 618949970300570557836376236206026449277593114565084750415779245519528751709168765686173151259371382387866678214150234330319405848062557705459430922099328286280698519075631743194605164122289
m: 10000000000000000000000000000000000000000
deg: 5
c5: 175
c0: 2
skew: 0.41
# Murphy_E = 1.156e-11
type: snfs
lss: 1
rlim: 16400000
alim: 16400000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16400000/16400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 48200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2134714 hash collisions in 14424668 relations (12991673 unique)
Msieve: matrix is 2711173 x 2711398 (769.2 MB)

Sieving start time: 2023/06/20 16:05:09
Sieving end time  : 2023/06/21 11:09:56

Total sieving time: 19hrs 4min 47secs.

Total relation processing time: 3hrs 48min 17sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 10min 40sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16400000,16400000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62468812dddJune 16, 2023 13:59:16 UTC 2023 年 6 月 16 日 (金) 22 時 59 分 16 秒 (日本時間)
1656dddJune 16, 2023 14:58:20 UTC 2023 年 6 月 16 日 (金) 23 時 58 分 20 秒 (日本時間)

7×10203+83

c136

name 名前Ignacio Santos
date 日付June 3, 2022 11:52:26 UTC 2022 年 6 月 3 日 (金) 20 時 52 分 26 秒 (日本時間)
composite number 合成数
3570884065667125939950528853172310073086491787882482873150501614456598413700596069044161679588818277463169377466145446046696869596085563<136>
prime factors 素因数
362764668844651734450014683271870803<36>
9843527698107504771212350896346907651699088450247936331032012776854136691917604707590822723656492921<100>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:95114679
Step 1 took 5906ms
Step 2 took 3406ms
********** Factor found in step 2: 362764668844651734450014683271870803
Found prime factor of 36 digits: 362764668844651734450014683271870803
Prime cofactor 9843527698107504771212350896346907651699088450247936331032012776854136691917604707590822723656492921 has 100 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)

7×10204+83

c173

name 名前Bob Backstrom
date 日付August 30, 2023 05:13:47 UTC 2023 年 8 月 30 日 (水) 14 時 13 分 47 秒 (日本時間)
composite number 合成数
11383265218270864333997537162855240772846532270771027387546571203730109869462945006365522383648709679875592881370456666276075054953234197319122158967435342455309070765454331<173>
prime factors 素因数
1133102418191963996685920172758333467311285304368321886454762669711<67>
10046104425789314640134241763790944987230692938290382287485041981573422769438871287556418554175046446846421<107>
factorization results 素因数分解の結果
Number: n
N=11383265218270864333997537162855240772846532270771027387546571203730109869462945006365522383648709679875592881370456666276075054953234197319122158967435342455309070765454331  ( 173 digits)
SNFS difficulty: 204 digits.
Divisors found:

Tue Aug 29 23:27:51 2023  prp67 factor: 1133102418191963996685920172758333467311285304368321886454762669711
Tue Aug 29 23:27:51 2023  prp107 factor: 10046104425789314640134241763790944987230692938290382287485041981573422769438871287556418554175046446846421
Tue Aug 29 23:27:51 2023  elapsed time 02:47:23 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.082).
Factorization parameters were as follows:
#
# N = 7x10^204+8 = 23(203)6
#
n: 11383265218270864333997537162855240772846532270771027387546571203730109869462945006365522383648709679875592881370456666276075054953234197319122158967435342455309070765454331
m: 50000000000000000000000000000000000000000
deg: 5
c5: 14
c0: 5
skew: 0.81
# Murphy_E = 1.036e-11
type: snfs
lss: 1
rlim: 18000000
alim: 18000000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18000000/18000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 41800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3256270 hash collisions in 18233547 relations (15717450 unique)
Msieve: matrix is 2280885 x 2281110 (640.6 MB)

Sieving start time: 2023/08/29 04:34:38
Sieving end time  : 2023/08/29 20:40:03

Total sieving time: 16hrs 5min 25secs.

Total relation processing time: 2hrs 40min 7sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 25sec.

Prototype def-par.txt line would be:
snfs,204,5,0,0,0,0,0,0,0,0,18000000,18000000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric 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 26, 2023 16:33:18 UTC 2023 年 8 月 27 日 (日) 1 時 33 分 18 秒 (日本時間)

7×10205+83

c185

name 名前Bob Backstrom
date 日付December 3, 2023 03:27:57 UTC 2023 年 12 月 3 日 (日) 12 時 27 分 57 秒 (日本時間)
composite number 合成数
17799556674634146338533185197628712901479927582866535324098470168053632864608468927885822449702619554997505169596786718373047553355757951882748551808817557396933217122278463226358595519<185>
prime factors 素因数
50790743108187224243191102306832665622873670330214088534417<59>
350448833495506450917445481726112127747644672204179988170276280512662520578213964621070562861456971491235547431504643616713807<126>
factorization results 素因数分解の結果
Number: n
N=17799556674634146338533185197628712901479927582866535324098470168053632864608468927885822449702619554997505169596786718373047553355757951882748551808817557396933217122278463226358595519  ( 185 digits)
SNFS difficulty: 205 digits.
Divisors found:

Sun Dec  3 14:18:34 2023  prp59 factor: 50790743108187224243191102306832665622873670330214088534417
Sun Dec  3 14:18:34 2023  prp126 factor: 350448833495506450917445481726112127747644672204179988170276280512662520578213964621070562861456971491235547431504643616713807
Sun Dec  3 14:18:34 2023  elapsed time 02:31:26 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.098).
Factorization parameters were as follows:
#
# N = 7x10^205+8 = 23(204)6
#
n: 17799556674634146338533185197628712901479927582866535324098470168053632864608468927885822449702619554997505169596786718373047553355757951882748551808817557396933217122278463226358595519
m: 100000000000000000000000000000000000000000
deg: 5
c5: 7
c0: 8
skew: 1.03
# Murphy_E = 9.959e-12
type: snfs
lss: 1
rlim: 18900000
alim: 18900000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18900000/18900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 42250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3450674 hash collisions in 20188238 relations (17197312 unique)
Msieve: matrix is 2163007 x 2163232 (608.1 MB)

Sieving start time: 2023/12/02 18:52:11
Sieving end time  : 2023/12/03 11:46:42

Total sieving time: 16hrs 54min 31secs.

Total relation processing time: 2hrs 23min 46sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 13sec.

Prototype def-par.txt line would be:
snfs,205,5,0,0,0,0,0,0,0,0,18900000,18900000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric 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 27, 2023 14:37:34 UTC 2023 年 11 月 27 日 (月) 23 時 37 分 34 秒 (日本時間)
4511e64480Ignacio SantosNovember 27, 2023 15:46:05 UTC 2023 年 11 月 28 日 (火) 0 時 46 分 5 秒 (日本時間)

7×10206+83

c179

name 名前Bob Backstrom
date 日付March 8, 2024 19:48:05 UTC 2024 年 3 月 9 日 (土) 4 時 48 分 5 秒 (日本時間)
composite number 合成数
45378113739461500700232432400640377100375660542163256775581378034062549015578483873236878022523852265165185547913852468517591232351159298137334684862580172237818768827831302967507<179>
prime factors 素因数
28896489847703461952324509624901387809524709064903601347<56>
1570367680594531097608648993055149487649722506289075330507643176535097103777354246776414170438214613261536877117902405487281<124>
factorization results 素因数分解の結果
Number: n
N=45378113739461500700232432400640377100375660542163256775581378034062549015578483873236878022523852265165185547913852468517591232351159298137334684862580172237818768827831302967507  ( 179 digits)
SNFS difficulty: 206 digits.
Divisors found:

Thu Mar  7 21:59:13 2024  prp56 factor: 28896489847703461952324509624901387809524709064903601347
Thu Mar  7 21:59:13 2024  prp124 factor: 1570367680594531097608648993055149487649722506289075330507643176535097103777354246776414170438214613261536877117902405487281
Thu Mar  7 21:59:13 2024  elapsed time 02:58:50 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.085).
Factorization parameters were as follows:
#
# N = 7x10^206+8 = 23(205)6
#
n: 45378113739461500700232432400640377100375660542163256775581378034062549015578483873236878022523852265165185547913852468517591232351159298137334684862580172237818768827831302967507
m: 100000000000000000000000000000000000000000
deg: 5
c5: 35
c0: 4
skew: 0.65
# Murphy_E = 9.195e-12
type: snfs
lss: 1
rlim: 19400000
alim: 19400000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19400000/19400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 49700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3368313 hash collisions in 18953781 relations (16368051 unique)
Msieve: matrix is 2385456 x 2385681 (672.0 MB)

Sieving start time: 2024/03/06 20:25:49
Sieving end time  : 2024/03/07 18:59:57

Total sieving time: 22hrs 34min 8secs.

Total relation processing time: 2hrs 50min 47sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 33sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19400000,19400000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric 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 SantosMarch 2, 2024 08:16:38 UTC 2024 年 3 月 2 日 (土) 17 時 16 分 38 秒 (日本時間)
4511e64480Ignacio SantosMarch 2, 2024 10:13:24 UTC 2024 年 3 月 2 日 (土) 19 時 13 分 24 秒 (日本時間)

7×10207+83

c167

composite cofactor 合成数の残り
23568955498823363546980862942452377380133390489588664863278569385061660528546982714260839510275540191260974903092382137410813406134049125811101224282777991862180870799<167>

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)
403e62500cccApril 6, 2024 23:23:41 UTC 2024 年 4 月 7 日 (日) 8 時 23 分 41 秒 (日本時間)

7×10208+83

c177

composite cofactor 合成数の残り
310773656388917957057318357761382030523142254975300129481770318023455473956867270663969207026633713028768869143559184177548794708292064010457222954850141182685865970783857502023<177>

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)

7×10209+83

c183

composite cofactor 合成数の残り
658875838574169059902120514718221307062595574038240885036389492934644331056448085967960713261827390948349794254033333855848660322724166478913281251654600999485409842539930979140652767<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)
403e62500cccApril 14, 2024 14:10:52 UTC 2024 年 4 月 14 日 (日) 23 時 10 分 52 秒 (日本時間)

7×10210+83

c174

composite cofactor 合成数の残り
230786126125282700012820337833968481683942944732674972861067931960607497251375360717706283195386677950126258410651774023772511656098446279311165101861007476152367335634336291<174>

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)

7×10211+83

c176

name 名前anonymous
date 日付April 7, 2024 01:19:47 UTC 2024 年 4 月 7 日 (日) 10 時 19 分 47 秒 (日本時間)
composite number 合成数
25114261961919220936142232008225939924572009898497700744859974475395217749783217353148137545879100912795195494814908692174718657158259341285779436204936695900188428928489153733<176>
prime factors 素因数
19647555902004550640894796004616358800563<41>
1278238478474410507970610406425408447824679464902696244836932659042714307394284452094259555829531986386576362502864194800593382488167591<136>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:8996393988983294282
Step 1 took 16156ms
********** Factor found in step 2: 19647555902004550640894796004616358800563
Found prime factor of 41 digits: 19647555902004550640894796004616358800563
Prime cofactor 1278238478474410507970610406425408447824679464902696244836932659042714307394284452094259555829531986386576362502864194800593382488167591 has 136 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)

7×10215+83

c204

composite cofactor 合成数の残り
916643028692660573370466392410493917401720519288982564004158206511011888792795307541431370803298071095221815384035167870790733833667497419395021278383106532438019408329722048149991276565479775999663999857<204>

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)

7×10218+83

c192

name 名前Seth Troisi
date 日付January 2, 2024 18:53:50 UTC 2024 年 1 月 3 日 (水) 3 時 53 分 50 秒 (日本時間)
composite number 合成数
127537402360361143215825331822831030611174389892465665463676871035243673382743153282224085464617380287373647404866121439461002685655360966713068100333679672799828820299714352661284763721667377<192>
prime factors 素因数
28597430719007745280848527607942911<35>
composite cofactor 合成数の残り
4459750374553450498619252871645036964542065406171515774130850263756489684713332950535428196529216073155890835542562575372309163743372647267523011557506797007<157>
factorization results 素因数分解の結果
Resuming P-1 residue saved by five@five with GMP-ECM 7.0.6-dev on Mon Nov 20 06:36:51 2023
Input number is 127537402360361143215825331822831030611174389892465665463676871035243673382743153282224085464617380287373647404866121439461002685655360966713068100333679672799828820299714352661284763721667377 (192 digits)
Using mpz_mod
Using lmax = 16777216 with NTT which takes about 4608MB of memory
Using B1=4000000000-4000000000, B2=2114508355760232, polynomial x^1
P = 111546435, l = 16777216, s_1 = 7299072, k = s_2 = 5, m_1 = 13
Probability of finding a factor of n digits (assuming one exists):
20    25      30      35      40      45      50      55      60      65
0.77    0.5     0.25    0.11    0.04    0.013   0.0039  0.0011  0.00026 6.1e-05
Step 1 took 0ms
Computing F from factored S_1 took 79829ms
Computing h took 8613ms
Computing DCT-I of h took 26529ms
Multi-point evaluation 1 of 5:
Computing g_i took 31268ms
Computing g*h took 54982ms
Computing gcd of coefficients and N took 12943ms
Step 2 took 214712ms
********** Factor found in step 2: 28597430719007745280848527607942911
Found prime factor of 35 digits: 28597430719007745280848527607942911
Composite cofactor 4459750374553450498619252871645036964542065406171515774130850263756489684713332950535428196529216073155890835542562575372309163743372647267523011557506797007 has 157 digits
software ソフトウェア
GMP-ECM 7.0.6, ecm-db 0.1
execution environment 実行環境
1080 Ti for PM1 stage1

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)
403e62500cccApril 7, 2024 00:59:46 UTC 2024 年 4 月 7 日 (日) 9 時 59 分 46 秒 (日本時間)

7×10220+83

c171

name 名前Erik Branger
date 日付July 6, 2022 07:25:29 UTC 2022 年 7 月 6 日 (水) 16 時 25 分 29 秒 (日本時間)
composite number 合成数
197016870695341756195532049372000166275112663251768463573582488516083606989880364252491604332644070381585982170359160771673650131695471657744888910633724580456558771411277<171>
prime factors 素因数
211545430501695678409368502379021830856269<42>
931321798008596238293479089051399945269633729166956084294860528969348487797271622301281952716736679695248564105188196729797797633<129>
factorization results 素因数分解の結果
Number: 23336_220
N = 197016870695341756195532049372000166275112663251768463573582488516083606989880364252491604332644070381585982170359160771673650131695471657744888910633724580456558771411277 (171 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=211545430501695678409368502379021830856269 (pp42)
r2=931321798008596238293479089051399945269633729166956084294860528969348487797271622301281952716736679695248564105188196729797797633 (pp129)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 37.33 hours.
Factorization parameters were as follows:
n: 197016870695341756195532049372000166275112663251768463573582488516083606989880364252491604332644070381585982170359160771673650131695471657744888910633724580456558771411277
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 7
c0: 8
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: 30598628
Relations: 6652934 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 17.68 hours.
Total relation processing time: 0.34 hours.
Pruned matrix : 5896921 x 5897146
Matrix solve time: 19.12 hours.
time per square root: 0.19 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 37.33 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)

7×10221+83

c180

name 名前Erik Branger
date 日付July 6, 2022 07:25:10 UTC 2022 年 7 月 6 日 (水) 16 時 25 分 10 秒 (日本時間)
composite number 合成数
806558787885751713025166467292846118583902918946437187408499511126802228863546982826174389173918647809647259784141771505229379476530947075058925008243918365568800744529591581408441<180>
prime factors 素因数
34578684743749741159777848818280558996764357<44>
23325317138661295747290373257170705928996115777174337025451469366451136665929849498510047683623686687841106727453279116916586688724397413<137>
factorization results 素因数分解の結果
Number: 23336_221
N = 806558787885751713025166467292846118583902918946437187408499511126802228863546982826174389173918647809647259784141771505229379476530947075058925008243918365568800744529591581408441 (180 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=34578684743749741159777848818280558996764357 (pp44)
r2=23325317138661295747290373257170705928996115777174337025451469366451136665929849498510047683623686687841106727453279116916586688724397413 (pp137)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 54.90 hours.
Factorization parameters were as follows:
n: 806558787885751713025166467292846118583902918946437187408499511126802228863546982826174389173918647809647259784141771505229379476530947075058925008243918365568800744529591581408441
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 35
c0: 4
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: 30532349
Relations: 7038860 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 18.10 hours.
Total relation processing time: 0.42 hours.
Pruned matrix : 6191176 x 6191401
Matrix solve time: 35.89 hours.
time per square root: 0.49 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: 54.90 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)

7×10227+83

c220

composite cofactor 合成数の残り
1211570926047413796624762789990020394131083970906955825307091344015290329710265482606016229207175540579061946956815610549982998544439459233940734685809265753817898840529393077598819290208580865927602863167796605405348223<220>

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)

7×10228+83

c222

composite cofactor 合成数の残り
602254980304541415526339879672896392182936843068871126382003106947406965371371069597962106804930644316468129010587986699456869251476212993152188801085848522203936613867832907625098683780344187000515530263140687451690546937<222>

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)

7×10229+83

c190

composite cofactor 合成数の残り
1082789730841503374328354709153614578217795702838840400519092490032236978824064781316055894664450908674104981143704231671278155681030541378960476612812154989245914528877899428154361698293043<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)

7×10230+83

c156

composite cofactor 合成数の残り
162868660075520687099924130953672303446640306026059144903538210910014198240268334578464239744702468415002573446449701116505287258583884926482677677053217873<156>

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 15:08:17 UTC 2022 年 6 月 4 日 (土) 0 時 8 分 17 秒 (日本時間)
4511e64480Ignacio SantosJune 6, 2022 17:40:46 UTC 2022 年 6 月 7 日 (火) 2 時 40 分 46 秒 (日本時間)
5043e65000 / 6453yoyo@HomeJuly 31, 2022 13:52:25 UTC 2022 年 7 月 31 日 (日) 22 時 52 分 25 秒 (日本時間)

7×10231+83

c191

composite cofactor 合成数の残り
33250213927472186469220163888205277541142337621682909795330883406413660587381110813008812905442575825815333492387383204219831218671608651374963655671289609444000710192551261143480219085528197<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)

7×10233+83

c220

composite cofactor 合成数の残り
7004733303289074252216164520203153773977645025558183289618229954642113861721498540833916014029932385664015217198505406895891748809425078462913705035908990514580236511586749563410393606007575940572917748727859581629659847<220>

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)

7×10236+83

c160

name 名前Ignacio Santos
date 日付June 7, 2022 08:07:41 UTC 2022 年 6 月 7 日 (火) 17 時 7 分 41 秒 (日本時間)
composite number 合成数
2041154779153394775414004864691518078052924421935104264668916045806455823930782281379368030103615722086844040302010161335233772901167805832492832905663164195211<160>
prime factors 素因数
1359539529077467550132219867101014533496483513149<49>
1501357434261911992636838736505096479416294180470212744823747653832239328227167844233640289117662489894680257639<112>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3934037180
Step 1 took 26203ms
Step 2 took 11859ms
********** Factor found in step 2: 1359539529077467550132219867101014533496483513149
Found prime factor of 49 digits: 1359539529077467550132219867101014533496483513149
Prime cofactor 1501357434261911992636838736505096479416294180470212744823747653832239328227167844233640289117662489894680257639 has 112 digits
 
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric 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 15:56:01 UTC 2022 年 6 月 4 日 (土) 0 時 56 分 1 秒 (日本時間)

7×10237+83

c210

name 名前Seth Troisi
date 日付December 6, 2023 19:16:35 UTC 2023 年 12 月 7 日 (木) 4 時 16 分 35 秒 (日本時間)
composite number 合成数
982957639745957040023133576269867572715880805838573468716400807574118511692241354823152934136316247680693801363462465014332310055904895292672544823794379608008007604323693049168926587809027669811908891466006881<210>
prime factors 素因数
874763065992522232828137963896263559035251853<45>
composite cofactor 合成数の残り
1123684432916329472222056198629503987095926715962542072087599870584634690615858248081265014269510499948621335069276566257876501217890243023054923309169720783573341477<166>
factorization results 素因数分解の結果
vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
WorkUnit(uid=1476,
         n='982957639745957040023133576269867572715880805838573468716400807574118511692241354823152934136316247680693801363462465014332310055904895292672544823794379608008007604323693049168926587809027669811908891466006881',
         params=(),
         B1='10000000000',      
         B2='8e15',     
         resume_line='METHOD=P-1; B1=10000000000; '
                     'N=982957639745957040023133576269867572715880805838573468716400807574118511692241354823152934136316247680693801363462465014332310055904895292672544823794379608008007604323693049168926587809027669811908891466006881; '
                     'X=0x2c0ec41bfc1952663662f39802152eaab62a123caf5a0bac76a331ef52a00fa5524cde1f79b5327d8affeedd9f63da4c53dc472a0429e15ee5e2664c8f807375a9ee9b50758dd27c4256833512f95a26e4ef06cab0faf43; '
                     'CHECKSUM=1438529321; PROGRAM=GMP-ECM 7.0.6-dev; X0=0x3; '
                     'WHO=five@five; TIME=Wed Nov 22 12:58:40 2023;\n')
------------------------------------ result ------------------------------------
EcmOutput(factors=(874763065992522232828137963896263559035251853,),
          exit_status=6,
          resume_line='',
          using='Using B1=10000000000-10000000000, B2=8344913552924776, '
                'polynomial x^1',
          version='GMP-ECM 7.0.6-dev [configured with GMP 6.3.0, '
                  '--enable-asm-redc, --enable-assert] [ECM]',
          output='OMMITTED<1529>',
          timings=(('0',), ('240083',)),
          runtime=0)
------------------------------------ output ------------------------------------
GMP-ECM 7.0.6-dev [configured with GMP 6.3.0, --enable-asm-redc, --enable-assert] [ECM]
Tuned for x86_64/params.h
Running on sethtroisi-linux.sea.corp.google.com
Resuming P-1 residue saved by five@five with GMP-ECM 7.0.6-dev on Wed Nov 22 12:58:40 2023
Input number is 982957639745957040023133576269867572715880805838573468716400807574118511692241354823152934136316247680693801363462465014332310055904895292672544823794379608008007604323693049168926587809027669811908891466006881 (210 digits)
Using mpz_mod 
Using lmax = 33554432 with NTT which takes about 9984MB of memory
Using B1=10000000000-10000000000, B2=8344913552924776, polynomial x^1
P = 240705465, l = 33554432, s_1 = 16220160, k = s_2 = 5, m_1 = 16
Probability of finding a factor of n digits (assuming one exists):
20      25      30      35      40      45      50      55      60      65
0.81    0.55    0.3     0.14    0.055   0.019   0.0063  0.0018  0.0005  0.00013
Step 1 took 0ms
Computing F from factored S_1 took 93288ms
Computing h took 11004ms
Computing DCT-I of h took 28011ms
Multi-point evaluation 1 of 5:
Computing g_i took 36647ms
Computing g*h took 56471ms
Computing gcd of coefficients and N took 13230ms
Step 2 took 240083ms 
********** Factor found in step 2: 874763065992522232828137963896263559035251853
Found prime factor of 45 digits: 874763065992522232828137963896263559035251853
Composite cofactor 1123684432916329472222056198629503987095926715962542072087599870584634690615858248081265014269510499948621335069276566257876501217890243023054923309169720783573341477 has 166 digits
Peak memory usage: 10778MB
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
software ソフトウェア
gmp-ecm + ecm-db
execution environment 実行環境
1080 TI for stage 1

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)

7×10238+83

c221

composite cofactor 合成数の残り
40809607730137243243172580926359938046362382348377171900263467426408987426082659471740791849037913665521673524569856383620934123592682709389611139605094234098657227832440222315384606457831081573252988841225956106412407159<221>

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)

7×10239+83

c225

composite cofactor 合成数の残り
325184549648899688167003862161120552040581056902441438551230161784856530663543469615639605490089041554900102126597469905054914348139816473404234426900286352000461151759311878137819746404888508634311610291879458983030285109119<225>

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)

7×10240+83

c224

composite cofactor 合成数の残り
15026301698307176757193944344733814886846726388377351487486414137338605948113524087939087669111034230947008141380941750653301431431432056571895837393334942472431369604548904042226243502346568868376829811629115232273944704447<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)

7×10241+83

c189

composite cofactor 合成数の残り
310552619561300580037422193416774812498663975805521799884953437279201657370201026344419311751451317925109166225520832373731996847131094123956761098982724141961385674639449096889063004618867<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)

7×10242+83

c240

composite cofactor 合成数の残り
127365356622998544395924308588064046579330422125181950509461426491994177583697234352256186317321688500727802037845705967976710334788937409024745269286754002911208151382823871906841339155749636098981077147016011644832605531295487627365356623<240>

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)

7×10243+83

c221

composite cofactor 合成数の残り
15010434545015125229570521671466699409018867597388932054514436959372448323684455106690777934167221501058823066358347934341960632984766292121844547022316885614510085577155465272600294273836017214472317913129841314002193563<221>

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)

7×10244+83

c177

composite cofactor 合成数の残り
416078959399952492686915627767959469601514034626342093274116874671185921287864980092483618231934076159102308624252128048882493486814560454220416363837125231945911128481206445393<177>

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)

7×10245+83

c236

composite cofactor 合成数の残り
21265610935824918079647486689880241589190644562278790573318642193813716975881494102566213795261230219486067039418509751515897992226008624603174981037023340417365242897291841046651004303607233597739076020136577606091208633532398432769387<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)

7×10246+83

c226

composite cofactor 合成数の残り
5514386723758268882386576629173314049736524873067988705338961363206872312905257082813550851007090998759567527638565876827937403722376682144923490911602759850016501760748009130330721609689415731025573376840281955909692674260891<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)

7×10247+83

c175

composite cofactor 合成数の残り
4593343358733907369899512848924337866061432392521110750583417920875252094576725455797087328507486309120674545044762824527038001085278766510460782417235265221681257135929539029<175>

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)

7×10248+83

c156

name 名前Ignacio Santos
date 日付June 6, 2022 18:21:17 UTC 2022 年 6 月 7 日 (火) 3 時 21 分 17 秒 (日本時間)
composite number 合成数
701753217430498609151426855136476240222213952872988729152016671679822385587923741236009623718559364662995625101599983544968529327431769245888913216379752793<156>
prime factors 素因数
635697474609712176616724961557705110679404733<45>
1103910657913721455379655745264261673093279151316495352617733118252323477181909142373211802092122823341700399821<112>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3379054464
Step 1 took 26250ms
Step 2 took 11922ms
********** Factor found in step 2: 635697474609712176616724961557705110679404733
Found prime factor of 45 digits: 635697474609712176616724961557705110679404733
Prime cofactor 1103910657913721455379655745264261673093279151316495352617733118252323477181909142373211802092122823341700399821 has 112 digits
 
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric 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 15:08:28 UTC 2022 年 6 月 4 日 (土) 0 時 8 分 28 秒 (日本時間)

7×10250+83

c250

composite cofactor 合成数の残り
2916666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667<250>

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)

7×10251+83

c216

composite cofactor 合成数の残り
583586743357507269862794096953880238586432854290939291816554321782247273439828650225260394155061726141502842126937182650456272707813143345136007900531441727969044426003671084311355521980690397841925205990040091224383<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)

7×10252+83

c250

composite cofactor 合成数の残り
2581120943952802359882005899705014749262536873156342182890855457227138643067846607669616519174041297935103244837758112094395280235988200589970501474926253687315634218289085545722713864306784660766961651917404129793510324483775811209439528023598820059<250>

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)

7×10253+83

c181

composite cofactor 合成数の残り
3359729653957558166297521399979929211027582354762982390876274029188261262821271206020786346602684343379791543120480062032907295792299623589108579159922325191833275106503154020264523<181>

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)

7×10254+83

c188

composite cofactor 合成数の残り
76717409072448649179545219790779994208602219125086845948854602275116662185493185954239377667342796705272959662180440463282113080774674853613733614469565584859032398748887510823972385410539<188>

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)

7×10255+83

c218

composite cofactor 合成数の残り
10116256073841532949065760357573258723495364429275251312780269323630265303329562494446521987485726052565096248919226656891983438895677249317583771186080213595400476842366049086673134000042105454610607431968699331983487<218>

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)

7×10257+83

c244

composite cofactor 合成数の残り
7277240321653328801698424712832457054828033293638551720183699797237291069963859921322037067773274692063177751223547085186640921828365294357141147053359879447983992207433027253392951700356298085269030378855028815844809703475999981821981629899263<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)

7×10259+83

c242

composite cofactor 合成数の残り
21367308819694478240367856901246967437019822696825113153112841600686364389120058968031734702913441055680913736824838897794157901249676876508341460545913089938251522590224934088844579389778851851595756988362530574400503664826117998448922923563<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)

7×10262+83

c203

composite cofactor 合成数の残り
68458243902682549011908935504967173617918377785626689464389500613257670870812890974734917150667045337398878758488297022697973176119538806492715195740274604706696387669917306341941663959988775331354418061<203>

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)

7×10263+83

c192

composite cofactor 合成数の残り
288714077024107853142885678571342210326247121848478887882882653239175906437270982239119309072954399345472608221679416192316819909802663246437991917401162920400926235856698271091154577582258801<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)

7×10265+83

c255

composite cofactor 合成数の残り
233024936146034955321422860585642345727555222526401247164755341958770306350764173343022101119654700707379383070182788301093036600470467987797408950030147047180330776627329575663067457751554898840224184306689819290360166393001875395418566062674951039128669<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)

7×10267+83

c183

composite cofactor 合成数の残り
585074316751985600124350964550303595876554130441359065824220560761294136207240035374200719673878423069733458437090800421558548434124247128833497033308992606521931601805507457270368269<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)

7×10268+83

c232

composite cofactor 合成数の残り
2453838728507664251580967738458100119802712923845405284402780771918159376288665968326264141247056878926820273132430412732739988700039993074033131965942438824109811931833630117023749692986604243369826343327517927209404675324170556799<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)

7×10269+83

c217

composite cofactor 合成数の残り
8935447578357114209474880298810743033835258113560638887905044146788679848443832454206215653713083223014315083122128211058858549740492917598317448607980661887204336664131519845460660631884308360952674187735994249903209<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)

7×10271+83

c248

composite cofactor 合成数の残り
77240438429022663287110279321860976150597985300131929567764670572095680463146700320808133447947207233633451648194436575227454499910064381301206114512437664721026115788291614458531526277841769505016224591853502936301134772501138202374263590354783001<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)

7×10272+83

c248

composite cofactor 合成数の残り
21355752630080908450638714911522320237122833496174396966305592970999068214952148607365371553034795390512260744750258398249763426790372712106521808443838025175368703786512759927925353027581215344054309385193385324626993023175463740705899904098533973<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)

7×10273+83

c237

composite cofactor 合成数の残り
228809025866703662224929125416412154398535153577845075549145914295548052544447149317653866787646903927993873784502897042622579320115772804345375409631561096684400560215279473136188156271228676134213507446699268057551150898503674744648751<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)

7×10275+83

c222

composite cofactor 合成数の残り
445300254468185996304416518914222923847460572536619486525491985503750277389291237732918324214888406913631256349790606731053369547585933257066848203681216638046733522495225725801384858992270653746885072865625974907010150017<222>

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)

7×10276+83

c247

composite cofactor 合成数の残り
1023740187227133138564015357539065241637646406369028508883075353473385069217612580112368808404356782046297652121201445810489152398883879266181965168751650032349050140876532114625121424014832405867768255984445409584798254821705917059899046222611627<247>

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)

7×10278+83

c243

composite cofactor 合成数の残り
855839832161223967094630102500925260684833181679799558887268120574614621013951485478121903196948815881050221125096496119561433771978034946474458571705176182000892407507580086851769904052494679590894008939296797829179095410866622726241728554451<243>

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)

7×10280+83

c243

composite cofactor 合成数の残り
720951036740169366984576557377997365691563327587287877482099729461718900713682909028915110199341910091190880544975584739646909075401611484800250532710209740027426275942998678244560656322889794021729445535230564651710196589956583785731710108483<243>

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)

7×10281+83

c269

composite cofactor 合成数の残り
10394453753256818876444555156121891162341647400903458783438608757022523896870794152498690975983282897311439926432195023416884737951104173672792344721069366227734134861809241260819968535373534000565438785132279894526995030639631608837566543378431825298698817180669926377<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)

7×10284+83

c255

composite cofactor 合成数の残り
149137723500925688337545240023117989281260236487613133823178208980805332852775302997323046990330370248522588431390547883372973390341541147684412849048375931602131780127954377999531915596831300453285857131321498501654538635254619825579403568667587523198053<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)

7×10285+83

c276

composite cofactor 合成数の残り
109800403036672221426390992448670278889862716401735253595714203508471803879601784034790177641990007762520820200271826721523936854846313036554280735188618596382253630351022990283578999983347608132370841371489869861810409120546911937532030448100500630646018525445947946549987493<276>

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)

7×10286+83

c272

composite cofactor 合成数の残り
10760052949502035610907419095648382004605498841607826373154913900038833948591924703120064758936820648046370378436308744916139514155470679828365211969764019394716447628221087254341895769014700883158365943984204622214865846391569104353041131934989497850193440874411426861907<272>

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)

7×10287+83

c253

composite cofactor 合成数の残り
2430950228978029847683439610414394089908844142926344848615912940720000979051573279238216693482650360292955405560411876037581519600775084242487339009240514169557104407153200472647386279099442541650974956142601425725794651198744527852178904760692892084423<253>

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)

7×10288+83

c243

composite cofactor 合成数の残り
691354253248637892109989890543288906925035792370313006289868129645614903490580626312219368947512314118049739242717709011358428830482193600259682273715042855532106108540417036031628817848641334908063915227886486063988795763706779247090026609443<243>

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)

7×10289+83

c273

composite cofactor 合成数の残り
123618353219103502541781283323929505035918893751527305179263772619372352703726871770262875470284549323230274323368341021059880434745660045298238627950440170099704492321055457501353716308644947458009145196592479252484320923266010124716104872800302714601832016116149455528443<273>

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)

7×10292+83

c283

composite cofactor 合成数の残り
5556507263535830613507169228249219170864247525082608799871542696490433872325523904955665114341739790953159934783166292881693107414435200179622892451007149867790339508163009890817254942949317356633700048778576923966184056958576073877725382115717893591192914904319577118782408951737173<283>

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)

7×10293+83

c260

composite cofactor 合成数の残り
69108915632021658485419513002285262876921586708561680579962574574739248938748967157857757676677043663284163058689818285030208967644533105433337743265590603594258778578919833330392202776378246733955841642228557364893158641449593384711639000719064599203222028393<260>

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)

7×10295+83

c294

composite cofactor 合成数の残り
224358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974359<294>

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)

7×10296+83

c263

composite cofactor 合成数の残り
88449497437376116487809529764732969700263036051398113424072884526140996935813300908813060665635821785158067728475187969556393466718325132863189393521800060035374991121395671496092329650938350473795596790271539866222524724213845403945331315857898009166535868672467<263>

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)

7×10299+83

c293

composite cofactor 合成数の残り
84487921124007991108973969030107632783630779094501912323746126832301615119379018607619748351519961840426939190905044266842787773101170181846973546107713892035058142173376938756395735629087404926949329455579147801720849977453794762907581801205232264536991708596814950210061111320319296751511851<293>

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)

7×10300+83

c223

composite cofactor 合成数の残り
1342523313016865679585536854123972358215290147153776147259284958950478978694995451961216250910480811456518952965992578619355762778198441171696201779592732658737312679002455883362420112587924831903597617138901103562858120019<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)
403e61792Dmitry DomanovMay 30, 2022 22:47:26 UTC 2022 年 5 月 31 日 (火) 7 時 47 分 26 秒 (日本時間)
4511e63584Dmitry DomanovJune 1, 2022 23:53:43 UTC 2022 年 6 月 2 日 (木) 8 時 53 分 43 秒 (日本時間)
5043e6130 / 6675Dmitry DomanovJune 1, 2022 23:53:43 UTC 2022 年 6 月 2 日 (木) 8 時 53 分 43 秒 (日本時間)