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) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) |
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) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) |
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) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) |
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) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) |
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) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) |
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) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) |
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) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) |
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) ---------- |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) |
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 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) |
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) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) |
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) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) |
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) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) |
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 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) |
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) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) |
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) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) |
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 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) |
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) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) |
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) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) |
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) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) |
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) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) |
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) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) |
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) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) |
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) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) |
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) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) |
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) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) |
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) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) |
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) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2078 | Florian Baur | June 7, 2022 14:07:41 UTC 2022 年 6 月 7 日 (火) 23 時 7 分 41 秒 (日本時間) |
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) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) |
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) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) |
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) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) |
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) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | June 9, 2022 13:45:47 UTC 2022 年 6 月 9 日 (木) 22 時 45 分 47 秒 (日本時間) |
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) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) |
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) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | June 9, 2022 10:28:03 UTC 2022 年 6 月 9 日 (木) 19 時 28 分 3 秒 (日本時間) |
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) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | June 8, 2022 19:32:20 UTC 2022 年 6 月 9 日 (木) 4 時 32 分 20 秒 (日本時間) |
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 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | June 10, 2022 08:37:24 UTC 2022 年 6 月 10 日 (金) 17 時 37 分 24 秒 (日本時間) |
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 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) |
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 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | June 10, 2022 16:30:05 UTC 2022 年 6 月 11 日 (土) 1 時 30 分 5 秒 (日本時間) |
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) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | June 21, 2022 19:09:16 UTC 2022 年 6 月 22 日 (水) 4 時 9 分 16 秒 (日本時間) |
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) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | June 21, 2022 19:58:58 UTC 2022 年 6 月 22 日 (水) 4 時 58 分 58 秒 (日本時間) |
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) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) |
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) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) |
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) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) |
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 |
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 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) |
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 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) |
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 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) |
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) ---------- |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | September 4, 2022 08:02:17 UTC 2022 年 9 月 4 日 (日) 17 時 2 分 17 秒 (日本時間) |
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) ---------- |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) |
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) ---------- |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2468 | 812 | ddd | June 16, 2023 13:59:16 UTC 2023 年 6 月 16 日 (金) 22 時 59 分 16 秒 (日本時間) |
1656 | ddd | June 16, 2023 14:58:20 UTC 2023 年 6 月 16 日 (金) 23 時 58 分 20 秒 (日本時間) |
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 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) |
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) ---------- |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | August 26, 2023 16:33:18 UTC 2023 年 8 月 27 日 (日) 1 時 33 分 18 秒 (日本時間) |
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) ---------- |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | November 27, 2023 14:37:34 UTC 2023 年 11 月 27 日 (月) 23 時 37 分 34 秒 (日本時間) | |
45 | 11e6 | 4480 | Ignacio Santos | November 27, 2023 15:46:05 UTC 2023 年 11 月 28 日 (火) 0 時 46 分 5 秒 (日本時間) |
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) ---------- |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | March 2, 2024 08:16:38 UTC 2024 年 3 月 2 日 (土) 17 時 16 分 38 秒 (日本時間) | |
45 | 11e6 | 4480 | Ignacio Santos | March 2, 2024 10:13:24 UTC 2024 年 3 月 2 日 (土) 19 時 13 分 24 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | June 13, 2024 19:53:21 UTC 2024 年 6 月 14 日 (金) 4 時 53 分 21 秒 (日本時間) |
composite number 合成数 | 23568955498823363546980862942452377380133390489588664863278569385061660528546982714260839510275540191260974903092382137410813406134049125811101224282777991862180870799<167> |
prime factors 素因数 | 8335062132132948235807027014264487467300683039<46> 107648809898545976726747279283408817801385664133777069173863<60> 26267712964789684228757388445270512810323401314129208319937607<62> |
factorization results 素因数分解の結果 | Number: n N=23568955498823363546980862942452377380133390489588664863278569385061660528546982714260839510275540191260974903092382137410813406134049125811101224282777991862180870799 ( 167 digits) SNFS difficulty: 207 digits. Divisors found: Fri Jun 14 04:52:24 2024 prp46 factor: 8335062132132948235807027014264487467300683039 Fri Jun 14 04:52:24 2024 prp60 factor: 107648809898545976726747279283408817801385664133777069173863 Fri Jun 14 04:52:24 2024 prp62 factor: 26267712964789684228757388445270512810323401314129208319937607 Fri Jun 14 04:52:24 2024 elapsed time 03:21:01 (Msieve 1.44 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=1.909). Factorization parameters were as follows: # # N = 7x10^207+8 = 23(206)6 # n: 23568955498823363546980862942452377380133390489588664863278569385061660528546982714260839510275540191260974903092382137410813406134049125811101224282777991862180870799 m: 100000000000000000000000000000000000000000 deg: 5 c5: 175 c0: 2 skew: 0.41 # Murphy_E = 7.113e-12 type: snfs lss: 1 rlim: 19900000 alim: 19900000 lpbr: 27 lpba: 27 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 19900000/19900000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 56/56 Sieved special-q in [100000, 49950000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 4679671 hash collisions in 21641662 relations (17048798 unique) Msieve: matrix is 2461493 x 2461718 (690.5 MB) Sieving start time: 2024/06/13 05:21:38 Sieving end time : 2024/06/14 01:30:58 Total sieving time: 20hrs 9min 20secs. Total relation processing time: 3hrs 5min 52sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 9min 15sec. Prototype def-par.txt line would be: snfs,207,5,0,0,0,0,0,0,0,0,19900000,19900000,27,27,56,56,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2500 | ccc | April 6, 2024 23:23:41 UTC 2024 年 4 月 7 日 (日) 8 時 23 分 41 秒 (日本時間) | |
45 | 11e6 | 4480 | Ignacio Santos | June 4, 2024 16:12:25 UTC 2024 年 6 月 5 日 (水) 1 時 12 分 25 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | August 19, 2024 19:40:14 UTC 2024 年 8 月 20 日 (火) 4 時 40 分 14 秒 (日本時間) |
composite number 合成数 | 310773656388917957057318357761382030523142254975300129481770318023455473956867270663969207026633713028768869143559184177548794708292064010457222954850141182685865970783857502023<177> |
prime factors 素因数 | 121847294993549260161503953610899193433962624174785421352715706487311<69> 2550517485064979750326076320728159768177758206966902901203890122866912826161015209052870443945948953728741193<109> |
factorization results 素因数分解の結果 | 08/18/24 09:11:04 v1.34.5 @ RYZEN-9, 08/18/24 09:11:04 v1.34.5 @ RYZEN-9, **************************** 08/18/24 09:11:04 v1.34.5 @ RYZEN-9, Starting factorization of 70000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000008 08/18/24 09:11:04 v1.34.5 @ RYZEN-9, using pretesting plan: normal 08/18/24 09:11:04 v1.34.5 @ RYZEN-9, no tune info: using qs/gnfs crossover of 125 digits 08/18/24 09:11:04 v1.34.5 @ RYZEN-9, **************************** 08/18/24 09:11:04 v1.34.5 @ RYZEN-9, div: found prime factor = 2 08/18/24 09:11:04 v1.34.5 @ RYZEN-9, div: found prime factor = 2 08/18/24 09:11:04 v1.34.5 @ RYZEN-9, div: found prime factor = 2 08/18/24 09:11:04 v1.34.5 @ RYZEN-9, div: found prime factor = 3 08/18/24 09:11:04 v1.34.5 @ RYZEN-9, div: found prime factor = 61 08/18/24 09:11:04 v1.34.5 @ RYZEN-9, div: found prime factor = 919 08/18/24 09:11:04 v1.34.5 @ RYZEN-9, div: found prime factor = 1637 08/18/24 09:11:04 v1.34.5 @ RYZEN-9, div: found prime factor = 1861 08/18/24 09:11:04 v1.34.5 @ RYZEN-9, rho: x^2 + 3, starting 1000 iterations on C197 08/18/24 09:11:04 v1.34.5 @ RYZEN-9, rho: x^2 + 2, starting 1000 iterations on C197 08/18/24 09:11:04 v1.34.5 @ RYZEN-9, rho: x^2 + 1, starting 1000 iterations on C197 08/18/24 09:11:04 v1.34.5 @ RYZEN-9, pm1: starting B1 = 150K, B2 = gmp-ecm default on C197 08/18/24 09:11:04 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 0.00 08/18/24 09:11:04 v1.34.5 @ RYZEN-9, scheduled 30 curves at B1=2000 toward target pretesting depth of 60.62 08/18/24 09:11:04 v1.34.5 @ RYZEN-9, Finished 30 curves using Lenstra ECM method on C197 input, B1=2K, B2=gmp-ecm default 08/18/24 09:11:04 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 15.18 08/18/24 09:11:04 v1.34.5 @ RYZEN-9, scheduled 74 curves at B1=11000 toward target pretesting depth of 60.62 08/18/24 09:11:04 v1.34.5 @ RYZEN-9, prp20 = 54954366004372522783 (curve 3 stg2 B1=11000 sigma=1908690107 thread=0) 08/18/24 09:11:04 v1.34.5 @ RYZEN-9, Finished 3 curves using Lenstra ECM method on C197 input, B1=11K, B2=gmp-ecm default 08/18/24 09:11:04 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 15.38 08/18/24 09:11:04 v1.34.5 @ RYZEN-9, scheduled 71 curves at B1=11000 toward target pretesting depth of 54.46 08/18/24 09:11:06 v1.34.5 @ RYZEN-9, Finished 71 curves using Lenstra ECM method on C177 input, B1=11K, B2=gmp-ecm default 08/18/24 09:11:06 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 20.24 08/18/24 09:11:06 v1.34.5 @ RYZEN-9, scheduled 214 curves at B1=50000 toward target pretesting depth of 54.46 08/18/24 09:11:36 v1.34.5 @ RYZEN-9, nfs: commencing nfs on c209: 70000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000008 08/18/24 09:11:36 v1.34.5 @ RYZEN-9, nfs: input divides 7*10^208 + 8 08/18/24 09:11:36 v1.34.5 @ RYZEN-9, nfs: using supplied cofactor: 310773656388917957057318357761382030523142254975300129481770318023455473956867270663969207026633713028768869143559184177548794708292064010457222954850141182685865970783857502023 08/18/24 09:11:36 v1.34.5 @ RYZEN-9, nfs: commencing snfs on c177: 310773656388917957057318357761382030523142254975300129481770318023455473956867270663969207026633713028768869143559184177548794708292064010457222954850141182685865970783857502023 08/18/24 09:11:36 v1.34.5 @ RYZEN-9, gen: best 3 polynomials: n: 310773656388917957057318357761382030523142254975300129481770318023455473956867270663969207026633713028768869143559184177548794708292064010457222954850141182685865970783857502023 # 7*10^208+8, difficulty: 211.85, anorm: 5.92e+031, rnorm: 1.97e+047 # scaled difficulty: 214.43, suggest sieving rational side # size = 2.548e-014, alpha = -0.201, combined = 8.215e-012, rroots = 1 type: snfs size: 211 skew: 0.2580 c5: 875 c0: 1 Y1: -1 Y0: 100000000000000000000000000000000000000000 m: 100000000000000000000000000000000000000000 n: 310773656388917957057318357761382030523142254975300129481770318023455473956867270663969207026633713028768869143559184177548794708292064010457222954850141182685865970783857502023 # 7*10^208+8, difficulty: 210.24, anorm: 2.65e+031, rnorm: 4.40e+047 # scaled difficulty: 212.95, suggest sieving rational side # size = 2.330e-014, alpha = 0.067, combined = 7.646e-012, rroots = 1 type: snfs size: 210 skew: 1.2899 c5: 7 c0: 25 Y1: -1 Y0: 500000000000000000000000000000000000000000 m: 500000000000000000000000000000000000000000 n: 310773656388917957057318357761382030523142254975300129481770318023455473956867270663969207026633713028768869143559184177548794708292064010457222954850141182685865970783857502023 # 7*10^208+8, difficulty: 210.24, anorm: 3.74e+037, rnorm: 4.76e+040 # scaled difficulty: 210.24, suggest sieving algebraic side # size = 1.799e-010, alpha = 0.583, combined = 5.090e-012, rroots = 0 type: snfs size: 210 skew: 1.1015 c6: 14 c0: 25 Y1: -1 Y0: 50000000000000000000000000000000000 m: 50000000000000000000000000000000000 08/18/24 09:11:38 v1.34.5 @ RYZEN-9, test: fb generation took 1.8282 seconds 08/18/24 09:11:38 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 0 on the rational side over range 22600000-22602000 skew: 0.2580 c5: 875 c0: 1 Y1: -1 Y0: 100000000000000000000000000000000000000000 m: 100000000000000000000000000000000000000000 rlim: 22600000 alim: 22600000 mfbr: 58 mfba: 58 lpbr: 29 lpba: 29 rlambda: 2.60 alambda: 2.60 08/18/24 09:14:52 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file 08/18/24 09:14:53 v1.34.5 @ RYZEN-9, test: fb generation took 1.6719 seconds 08/18/24 09:14:53 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 1 on the rational side over range 21400000-21402000 skew: 1.2899 c5: 7 c0: 25 Y1: -1 Y0: 500000000000000000000000000000000000000000 m: 500000000000000000000000000000000000000000 rlim: 21400000 alim: 21400000 mfbr: 56 mfba: 56 lpbr: 28 lpba: 28 rlambda: 2.60 alambda: 2.60 08/18/24 09:18:03 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file 08/18/24 09:18:05 v1.34.5 @ RYZEN-9, test: fb generation took 2.4063 seconds 08/18/24 09:18:05 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 2 on the algebraic side over range 21400000-21402000 skew: 1.1015 c6: 14 c0: 25 Y1: -1 Y0: 50000000000000000000000000000000000 m: 50000000000000000000000000000000000 rlim: 21400000 alim: 21400000 mfbr: 56 mfba: 56 lpbr: 28 lpba: 28 rlambda: 2.60 alambda: 2.60 08/18/24 09:21:05 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file 08/18/24 09:21:05 v1.34.5 @ RYZEN-9, gen: selected polynomial: n: 310773656388917957057318357761382030523142254975300129481770318023455473956867270663969207026633713028768869143559184177548794708292064010457222954850141182685865970783857502023 # 7*10^208+8, difficulty: 210.24, anorm: 2.65e+031, rnorm: 4.40e+047 # scaled difficulty: 212.95, suggest sieving rational side # size = 2.330e-014, alpha = 0.067, combined = 7.646e-012, rroots = 1 type: snfs size: 210 skew: 1.2899 c5: 7 c0: 25 Y1: -1 Y0: 500000000000000000000000000000000000000000 m: 500000000000000000000000000000000000000000 08/19/24 07:29:41 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering 08/19/24 07:31:45 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 22226253 08/19/24 08:49:52 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering 08/19/24 08:52:05 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 23439435 08/19/24 10:09:30 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering 08/19/24 10:11:51 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 24639504 08/19/24 11:41:52 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering 08/19/24 11:44:19 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 26026006 08/19/24 13:14:15 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering 08/19/24 13:18:34 v1.34.5 @ RYZEN-9, nfs: commencing msieve linear algebra 08/19/24 16:15:02 v1.34.5 @ RYZEN-9, nfs: commencing msieve sqrt 08/19/24 16:17:29 v1.34.5 @ RYZEN-9, prp69 = 121847294993549260161503953610899193433962624174785421352715706487311 08/19/24 16:17:29 v1.34.5 @ RYZEN-9, prp109 = 2550517485064979750326076320728159768177758206966902901203890122866912826161015209052870443945948953728741193 08/19/24 16:17:30 v1.34.5 @ RYZEN-9, NFS elapsed time = 111953.4373 seconds. 08/19/24 16:17:30 v1.34.5 @ RYZEN-9, 08/19/24 16:17:30 v1.34.5 @ RYZEN-9, 08/18/24 09:21:05 v1.34.5 @ RYZEN-9, test: test sieving took 568.23 seconds |
software ソフトウェア | YAFU |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 5000 | ccc | June 13, 2024 04:44:21 UTC 2024 年 6 月 13 日 (木) 13 時 44 分 21 秒 (日本時間) | |
45 | 11e6 | 4480 | Ignacio Santos | August 14, 2024 16:01:11 UTC 2024 年 8 月 15 日 (木) 1 時 1 分 11 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2500 | ccc | April 14, 2024 14:10:52 UTC 2024 年 4 月 14 日 (日) 23 時 10 分 52 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2500 | ccc | June 13, 2024 09:42:47 UTC 2024 年 6 月 13 日 (木) 18 時 42 分 47 秒 (日本時間) | |
45 | 11e6 | 252 / 3882 | ccc | June 13, 2024 05:41:30 UTC 2024 年 6 月 13 日 (木) 14 時 41 分 30 秒 (日本時間) |
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 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2500 | ccc | June 13, 2024 12:57:41 UTC 2024 年 6 月 13 日 (木) 21 時 57 分 41 秒 (日本時間) |
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 |
name 名前 | anonymous |
---|---|
date 日付 | October 3, 2024 20:08:59 UTC 2024 年 10 月 4 日 (金) 5 時 8 分 59 秒 (日本時間) |
composite number 合成数 | 4459750374553450498619252871645036964542065406171515774130850263756489684713332950535428196529216073155890835542562575372309163743372647267523011557506797007<157> |
prime factors 素因数 | 5737204033739959179788102088063946701216177407<46> 5979868457286799314996696342201257878440032201<46> 129992598404214889434259549173267432182862995644023419780759490601<66> |
factorization results 素因数分解の結果 | Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=0:14508298519180341124 Step 1 took 70938ms ********** Factor found in step 2: 5979868457286799314996696342201257878440032201 Found prime factor of 46 digits: 5979868457286799314996696342201257878440032201 Composite cofactor 745794059921000244354589971846202018400534628924828980740637851905916972857943573643759465521851552469765051607 has 111 digits Fri Oct 04 03:49:05 2024 Fri Oct 04 03:49:05 2024 Fri Oct 04 03:49:05 2024 Msieve v. 1.54 (SVN Unversioned directory) Fri Oct 04 03:49:05 2024 random seeds: 120ae1a0 ab7215ce Fri Oct 04 03:49:05 2024 factoring 745794059921000244354589971846202018400534628924828980740637851905916972857943573643759465521851552469765051607 (111 digits) Fri Oct 04 03:49:05 2024 searching for 15-digit factors Fri Oct 04 03:49:05 2024 commencing number field sieve (111-digit input) Fri Oct 04 03:49:05 2024 R0: -4944321593000090379323 Fri Oct 04 03:49:05 2024 R1: 6863238039709 Fri Oct 04 03:49:05 2024 A0: -20251098952282436097039984 Fri Oct 04 03:49:05 2024 A1: 3794759792134960302204 Fri Oct 04 03:49:05 2024 A2: 9708663430620668 Fri Oct 04 03:49:05 2024 A3: -4408376825311 Fri Oct 04 03:49:05 2024 A4: 286500536 Fri Oct 04 03:49:05 2024 A5: 252 Fri Oct 04 03:49:05 2024 skew 37180.03, size 1.467e-010, alpha -5.637, combined = 9.754e-010 rroots = 3 Fri Oct 04 03:49:05 2024 Fri Oct 04 03:49:05 2024 commencing relation filtering Fri Oct 04 03:49:05 2024 estimated available RAM is 32388.7 MB Fri Oct 04 03:49:05 2024 commencing duplicate removal, pass 1 Fri Oct 04 03:49:46 2024 skipped 1 relations with composite factors Fri Oct 04 03:49:46 2024 found 886396 hash collisions in 7605990 relations Fri Oct 04 03:49:54 2024 added 57700 free relations Fri Oct 04 03:49:54 2024 commencing duplicate removal, pass 2 Fri Oct 04 03:49:57 2024 found 615934 duplicates and 7047756 unique relations Fri Oct 04 03:49:57 2024 memory use: 26.6 MB Fri Oct 04 03:49:57 2024 reading ideals above 100000 Fri Oct 04 03:49:57 2024 commencing singleton removal, initial pass Fri Oct 04 03:50:40 2024 memory use: 188.3 MB Fri Oct 04 03:50:40 2024 reading all ideals from disk Fri Oct 04 03:50:40 2024 memory use: 233.3 MB Fri Oct 04 03:50:40 2024 keeping 7853163 ideals with weight <= 200, target excess is 35673 Fri Oct 04 03:50:40 2024 commencing in-memory singleton removal Fri Oct 04 03:50:41 2024 begin with 7047756 relations and 7853163 unique ideals Fri Oct 04 03:50:42 2024 reduce to 2234761 relations and 2104311 ideals in 16 passes Fri Oct 04 03:50:42 2024 max relations containing the same ideal: 90 Fri Oct 04 03:50:43 2024 removing 353206 relations and 308671 ideals in 44535 cliques Fri Oct 04 03:50:43 2024 commencing in-memory singleton removal Fri Oct 04 03:50:43 2024 begin with 1881555 relations and 2104311 unique ideals Fri Oct 04 03:50:43 2024 reduce to 1836025 relations and 1748865 ideals in 9 passes Fri Oct 04 03:50:43 2024 max relations containing the same ideal: 81 Fri Oct 04 03:50:44 2024 removing 269831 relations and 225296 ideals in 44535 cliques Fri Oct 04 03:50:44 2024 commencing in-memory singleton removal Fri Oct 04 03:50:44 2024 begin with 1566194 relations and 1748865 unique ideals Fri Oct 04 03:50:44 2024 reduce to 1533043 relations and 1489636 ideals in 8 passes Fri Oct 04 03:50:44 2024 max relations containing the same ideal: 75 Fri Oct 04 03:50:45 2024 relations with 0 large ideals: 125 Fri Oct 04 03:50:45 2024 relations with 1 large ideals: 415 Fri Oct 04 03:50:45 2024 relations with 2 large ideals: 6510 Fri Oct 04 03:50:45 2024 relations with 3 large ideals: 48257 Fri Oct 04 03:50:45 2024 relations with 4 large ideals: 181838 Fri Oct 04 03:50:45 2024 relations with 5 large ideals: 382255 Fri Oct 04 03:50:45 2024 relations with 6 large ideals: 459981 Fri Oct 04 03:50:45 2024 relations with 7+ large ideals: 453662 Fri Oct 04 03:50:45 2024 commencing 2-way merge Fri Oct 04 03:50:45 2024 reduce to 868487 relation sets and 825080 unique ideals Fri Oct 04 03:50:45 2024 commencing full merge Fri Oct 04 03:50:59 2024 memory use: 101.7 MB Fri Oct 04 03:50:59 2024 found 384787 cycles, need 383280 Fri Oct 04 03:50:59 2024 weight of 383280 cycles is about 34509654 (90.04/cycle) Fri Oct 04 03:50:59 2024 distribution of cycle lengths: Fri Oct 04 03:50:59 2024 1 relations: 33945 Fri Oct 04 03:50:59 2024 2 relations: 31677 Fri Oct 04 03:50:59 2024 3 relations: 31475 Fri Oct 04 03:50:59 2024 4 relations: 29767 Fri Oct 04 03:50:59 2024 5 relations: 28532 Fri Oct 04 03:50:59 2024 6 relations: 26405 Fri Oct 04 03:50:59 2024 7 relations: 23964 Fri Oct 04 03:50:59 2024 8 relations: 22474 Fri Oct 04 03:50:59 2024 9 relations: 20006 Fri Oct 04 03:50:59 2024 10+ relations: 135035 Fri Oct 04 03:50:59 2024 heaviest cycle: 28 relations Fri Oct 04 03:50:59 2024 commencing cycle optimization Fri Oct 04 03:51:00 2024 start with 3162414 relations Fri Oct 04 03:51:06 2024 pruned 97594 relations Fri Oct 04 03:51:06 2024 memory use: 93.3 MB Fri Oct 04 03:51:06 2024 distribution of cycle lengths: Fri Oct 04 03:51:06 2024 1 relations: 33945 Fri Oct 04 03:51:06 2024 2 relations: 32392 Fri Oct 04 03:51:06 2024 3 relations: 32526 Fri Oct 04 03:51:06 2024 4 relations: 30636 Fri Oct 04 03:51:06 2024 5 relations: 29421 Fri Oct 04 03:51:06 2024 6 relations: 27057 Fri Oct 04 03:51:06 2024 7 relations: 24782 Fri Oct 04 03:51:06 2024 8 relations: 22818 Fri Oct 04 03:51:06 2024 9 relations: 20333 Fri Oct 04 03:51:06 2024 10+ relations: 129370 Fri Oct 04 03:51:06 2024 heaviest cycle: 28 relations Fri Oct 04 03:51:06 2024 RelProcTime: 121 Fri Oct 04 03:51:06 2024 elapsed time 00:02:01 Fri Oct 04 03:51:06 2024 Fri Oct 04 03:51:06 2024 Fri Oct 04 03:51:06 2024 Msieve v. 1.54 (SVN Unversioned directory) Fri Oct 04 03:51:06 2024 random seeds: e1c80150 0f097fbc Fri Oct 04 03:51:06 2024 factoring 745794059921000244354589971846202018400534628924828980740637851905916972857943573643759465521851552469765051607 (111 digits) Fri Oct 04 03:51:06 2024 searching for 15-digit factors Fri Oct 04 03:51:06 2024 commencing number field sieve (111-digit input) Fri Oct 04 03:51:06 2024 R0: -4944321593000090379323 Fri Oct 04 03:51:06 2024 R1: 6863238039709 Fri Oct 04 03:51:06 2024 A0: -20251098952282436097039984 Fri Oct 04 03:51:06 2024 A1: 3794759792134960302204 Fri Oct 04 03:51:06 2024 A2: 9708663430620668 Fri Oct 04 03:51:06 2024 A3: -4408376825311 Fri Oct 04 03:51:06 2024 A4: 286500536 Fri Oct 04 03:51:06 2024 A5: 252 Fri Oct 04 03:51:06 2024 skew 37180.03, size 1.467e-010, alpha -5.637, combined = 9.754e-010 rroots = 3 Fri Oct 04 03:51:06 2024 Fri Oct 04 03:51:06 2024 commencing linear algebra Fri Oct 04 03:51:07 2024 read 383280 cycles Fri Oct 04 03:51:07 2024 cycles contain 1476646 unique relations Fri Oct 04 03:51:12 2024 read 1476646 relations Fri Oct 04 03:51:13 2024 using 20 quadratic characters above 4294917295 Fri Oct 04 03:51:19 2024 building initial matrix Fri Oct 04 03:51:29 2024 memory use: 181.5 MB Fri Oct 04 03:51:29 2024 read 383280 cycles Fri Oct 04 03:51:30 2024 matrix is 383103 x 383280 (140.5 MB) with weight 43794029 (114.26/col) Fri Oct 04 03:51:30 2024 sparse part has weight 32623048 (85.12/col) Fri Oct 04 03:51:32 2024 filtering completed in 2 passes Fri Oct 04 03:51:32 2024 matrix is 383016 x 383193 (140.5 MB) with weight 43789458 (114.28/col) Fri Oct 04 03:51:32 2024 sparse part has weight 32621377 (85.13/col) Fri Oct 04 03:51:33 2024 matrix starts at (0, 0) Fri Oct 04 03:51:33 2024 matrix is 383016 x 383193 (140.5 MB) with weight 43789458 (114.28/col) Fri Oct 04 03:51:33 2024 sparse part has weight 32621377 (85.13/col) Fri Oct 04 03:51:33 2024 saving the first 112 matrix rows for later Fri Oct 04 03:51:33 2024 matrix includes 128 packed rows Fri Oct 04 03:51:33 2024 matrix is 382904 x 383193 (127.3 MB) with weight 31644107 (82.58/col) Fri Oct 04 03:51:33 2024 sparse part has weight 28771957 (75.08/col) Fri Oct 04 03:51:33 2024 using block size 8192 and superblock size 589824 for processor cache size 12288 kB Fri Oct 04 03:51:35 2024 commencing Lanczos iteration (10 threads) Fri Oct 04 03:51:35 2024 memory use: 141.9 MB Fri Oct 04 03:51:43 2024 linear algebra at 3.2%, ETA 0h 4m Fri Oct 04 03:56:20 2024 lanczos halted after 3011 iterations (dim = 382904) Fri Oct 04 03:56:21 2024 recovered 30 nontrivial dependencies Fri Oct 04 03:56:21 2024 BLanczosTime: 315 Fri Oct 04 03:56:21 2024 elapsed time 00:05:15 Fri Oct 04 03:56:21 2024 Fri Oct 04 03:56:21 2024 Fri Oct 04 03:56:21 2024 Msieve v. 1.54 (SVN Unversioned directory) Fri Oct 04 03:56:21 2024 random seeds: ee682ca8 5bb0016f Fri Oct 04 03:56:21 2024 factoring 745794059921000244354589971846202018400534628924828980740637851905916972857943573643759465521851552469765051607 (111 digits) Fri Oct 04 03:56:21 2024 searching for 15-digit factors Fri Oct 04 03:56:21 2024 commencing number field sieve (111-digit input) Fri Oct 04 03:56:21 2024 R0: -4944321593000090379323 Fri Oct 04 03:56:21 2024 R1: 6863238039709 Fri Oct 04 03:56:21 2024 A0: -20251098952282436097039984 Fri Oct 04 03:56:21 2024 A1: 3794759792134960302204 Fri Oct 04 03:56:21 2024 A2: 9708663430620668 Fri Oct 04 03:56:21 2024 A3: -4408376825311 Fri Oct 04 03:56:21 2024 A4: 286500536 Fri Oct 04 03:56:21 2024 A5: 252 Fri Oct 04 03:56:21 2024 skew 37180.03, size 1.467e-010, alpha -5.637, combined = 9.754e-010 rroots = 3 Fri Oct 04 03:56:21 2024 Fri Oct 04 03:56:21 2024 commencing square root phase Fri Oct 04 03:56:21 2024 reading relations for dependency 1 Fri Oct 04 03:56:21 2024 read 191664 cycles Fri Oct 04 03:56:21 2024 cycles contain 738800 unique relations Fri Oct 04 03:56:25 2024 read 738800 relations Fri Oct 04 03:56:26 2024 multiplying 738800 relations Fri Oct 04 03:56:51 2024 multiply complete, coefficients have about 29.31 million bits Fri Oct 04 03:56:51 2024 initial square root is modulo 260858749 Fri Oct 04 03:57:26 2024 GCD is 1, no factor found Fri Oct 04 03:57:26 2024 reading relations for dependency 2 Fri Oct 04 03:57:26 2024 read 191867 cycles Fri Oct 04 03:57:26 2024 cycles contain 739376 unique relations Fri Oct 04 03:57:30 2024 read 739376 relations Fri Oct 04 03:57:32 2024 multiplying 739376 relations Fri Oct 04 03:57:57 2024 multiply complete, coefficients have about 29.33 million bits Fri Oct 04 03:57:58 2024 initial square root is modulo 265093921 Fri Oct 04 03:58:30 2024 GCD is 1, no factor found Fri Oct 04 03:58:30 2024 reading relations for dependency 3 Fri Oct 04 03:58:30 2024 read 191298 cycles Fri Oct 04 03:58:30 2024 cycles contain 736910 unique relations Fri Oct 04 03:58:33 2024 read 736910 relations Fri Oct 04 03:58:35 2024 multiplying 736910 relations Fri Oct 04 03:59:00 2024 multiply complete, coefficients have about 29.23 million bits Fri Oct 04 03:59:01 2024 initial square root is modulo 248050787 Fri Oct 04 03:59:30 2024 GCD is N, no factor found Fri Oct 04 03:59:30 2024 reading relations for dependency 4 Fri Oct 04 03:59:30 2024 read 191599 cycles Fri Oct 04 03:59:30 2024 cycles contain 739468 unique relations Fri Oct 04 03:59:35 2024 read 739468 relations Fri Oct 04 03:59:36 2024 multiplying 739468 relations Fri Oct 04 03:59:59 2024 multiply complete, coefficients have about 29.33 million bits Fri Oct 04 03:59:59 2024 initial square root is modulo 265519691 Fri Oct 04 04:00:30 2024 GCD is N, no factor found Fri Oct 04 04:00:30 2024 reading relations for dependency 5 Fri Oct 04 04:00:30 2024 read 191279 cycles Fri Oct 04 04:00:31 2024 cycles contain 738014 unique relations Fri Oct 04 04:00:35 2024 read 738014 relations Fri Oct 04 04:00:36 2024 multiplying 738014 relations Fri Oct 04 04:01:00 2024 multiply complete, coefficients have about 29.27 million bits Fri Oct 04 04:01:00 2024 initial square root is modulo 255247693 Fri Oct 04 04:01:36 2024 GCD is N, no factor found Fri Oct 04 04:01:36 2024 reading relations for dependency 6 Fri Oct 04 04:01:36 2024 read 191478 cycles Fri Oct 04 04:01:36 2024 cycles contain 739192 unique relations Fri Oct 04 04:01:40 2024 read 739192 relations Fri Oct 04 04:01:41 2024 multiplying 739192 relations Fri Oct 04 04:02:06 2024 multiply complete, coefficients have about 29.32 million bits Fri Oct 04 04:02:06 2024 initial square root is modulo 263141023 Fri Oct 04 04:02:38 2024 sqrtTime: 377 Fri Oct 04 04:02:38 2024 p46 factor: 5737204033739959179788102088063946701216177407 Fri Oct 04 04:02:38 2024 p66 factor: 129992598404214889434259549173267432182862995644023419780759490601 Fri Oct 04 04:02:38 2024 elapsed time 00:06:17 |
software ソフトウェア | GMP-ECM 7.0.5 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2500 | ccc | April 7, 2024 00:59:46 UTC 2024 年 4 月 7 日 (日) 9 時 59 分 46 秒 (日本時間) |
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 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) |
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 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2500 | ccc | June 13, 2024 14:39:44 UTC 2024 年 6 月 13 日 (木) 23 時 39 分 44 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | August 24, 2024 06:45:41 UTC 2024 年 8 月 24 日 (土) 15 時 45 分 41 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | August 24, 2024 06:45:53 UTC 2024 年 8 月 24 日 (土) 15 時 45 分 53 秒 (日本時間) |
composite cofactor 合成数の残り | 162868660075520687099924130953672303446640306026059144903538210910014198240268334578464239744702468415002573446449701116505287258583884926482677677053217873<156> |
---|
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | June 3, 2022 15:08:17 UTC 2022 年 6 月 4 日 (土) 0 時 8 分 17 秒 (日本時間) | |
45 | 11e6 | 4480 | Ignacio Santos | June 6, 2022 17:40:46 UTC 2022 年 6 月 7 日 (火) 2 時 40 分 46 秒 (日本時間) | |
50 | 43e6 | 5000 | yoyo@Home | July 31, 2022 13:52:25 UTC 2022 年 7 月 31 日 (日) 22 時 52 分 25 秒 (日本時間) | |
55 | 11e7 | 5000 / 15685 | yoyo@Home | May 1, 2024 00:56:51 UTC 2024 年 5 月 1 日 (水) 9 時 56 分 51 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | August 25, 2024 06:09:30 UTC 2024 年 8 月 25 日 (日) 15 時 9 分 30 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | August 25, 2024 06:21:12 UTC 2024 年 8 月 25 日 (日) 15 時 21 分 12 秒 (日本時間) |
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 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | June 3, 2022 15:56:01 UTC 2022 年 6 月 4 日 (土) 0 時 56 分 1 秒 (日本時間) |
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 |
name 名前 | anonymous |
---|---|
date 日付 | June 13, 2024 14:29:01 UTC 2024 年 6 月 13 日 (木) 23 時 29 分 1 秒 (日本時間) |
composite number 合成数 | 1123684432916329472222056198629503987095926715962542072087599870584634690615858248081265014269510499948621335069276566257876501217890243023054923309169720783573341477<166> |
prime factors 素因数 | 755214560619289095371338033753419870809<39> |
composite cofactor 合成数の残り | 1487900911225663688087429608964395149264624876947752790256899314671964461964895339003137570434976225046988269763678384625985453<127> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:18091160101738182477 Step 1 took 20828ms Step 2 took 8172ms ********** Factor found in step 1: 755214560619289095371338033753419870809 Found prime factor of 39 digits: 755214560619289095371338033753419870809 Composite cofactor 1487900911225663688087429608964395149264624876947752790256899314671964461964895339003137570434976225046988269763678384625985453 has 127 digits |
software ソフトウェア | GMP-ECM 7.0.5 |
name 名前 | Bob Backstrom |
---|---|
date 日付 | June 18, 2024 19:40:49 UTC 2024 年 6 月 19 日 (水) 4 時 40 分 49 秒 (日本時間) |
composite number 合成数 | 1487900911225663688087429608964395149264624876947752790256899314671964461964895339003137570434976225046988269763678384625985453<127> |
prime factors 素因数 | 8828897701440926600169348058954337474321194749049125100456421<61> 168526237537312245626479318083575257674971668020684182899198372393<66> |
factorization results 素因数分解の結果 | CADO: STA:Wed Jun 19 12:17:39 AM AEST 2024 (1487900911225663688087429608964395149264624876947752790256899314671964461964895339003137570434976225046988269763678384625985453 - C127) /home/bob/Downloads/Math/cado-nfs/cado-nfs.py -t 18 --no-colors --screenlog DEBUG 1487900911225663688087429608964395149264624876947752790256899314671964461964895339003137570434976225046988269763678384625985453 2>&1 | tee -a log-40 /home/bob/Downloads/Math/cado-nfs/cado-nfs.py:93: DeprecationWarning: 'locale.getdefaultlocale' is deprecated and slated for removal in Python 3.15. Use setlocale(), getencoding() and getlocale() instead. loc = locale.getdefaultlocale()[1] Debug:root: Looking for parameter file for c127 in directory /home/bob/Downloads/Math/cado-nfs/parameters/factor Info:root: Using default parameter file /home/bob/Downloads/Math/cado-nfs/parameters/factor/params.c125 Debug:Parameters: Reading parameter file /home/bob/Downloads/Math/cado-nfs/parameters/factor/params.c125 Info:root: No database exists yet Info:root: Created temporary directory /tmp/cado.e16jct2p Info:Database: Opened connection to database /tmp/cado.e16jct2p/c125.db Info:root: Set tasks.threads=18 based on --server-threads 18 Info:root: tasks.threads = 18 [via tasks.threads] Info:root: tasks.polyselect.threads = 2 [via tasks.polyselect.threads] Info:root: tasks.sieve.las.threads = 2 [via tasks.sieve.las.threads] Info:root: tasks.linalg.bwc.threads = 18 [via tasks.threads] Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads] Info:root: slaves.scriptpath is /home/bob/Downloads/Math/cado-nfs/build/VM9 Info:root: Command line parameters: /home/bob/Downloads/Math/cado-nfs/cado-nfs.py -t 18 --no-colors --screenlog DEBUG 1487900911225663688087429608964395149264624876947752790256899314671964461964895339003137570434976225046988269763678384625985453 Debug:root: Root parameter dictionary: N = 1487900911225663688087429608964395149264624876947752790256899314671964461964895339003137570434976225046988269763678384625985453 name = c125 === Info:Polynomial Selection (root optimized): Best polynomial is: n: 1487900911225663688087429608964395149264624876947752790256899314671964461964895339003137570434976225046988269763678384625985453 skew: 162824.699 c0: 397637387641288349596486843650 c1: 5468594657496867005360805 c2: -116862018179890276420 c3: -276391587656672 c4: 1617634688 c5: 4320 Y0: -3143239357712855621946631 Y1: 1104679299066876067 # MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=1.342e+13) = 2.813e-06 # f(x) = 4320*x^5+1617634688*x^4-276391587656672*x^3-116862018179890276420*x^2+5468594657496867005360805*x+397637387641288349596486843650 # g(x) = 1104679299066876067*x-3143239357712855621946631 === Debug:Command: Process with PID 115531 finished successfully Info:Square Root: finished Info:Square Root: Factors: 168526237537312245626479318083575257674971668020684182899198372393 8828897701440926600169348058954337474321194749049125100456421 Debug:Square Root: Exit SqrtTask.run(sqrt) Info:Complete Factorization / Discrete logarithm: Square Root Info:Square Root: Total cpu/real time for sqrt: 847.45/104.259 Info:HTTP server: Got notification to stop serving Workunits Info:Square Root: Total cpu/real time for sqrt: 847.45/104.259 Info:Filtering - Merging: Total cpu/real time for merge: 55.58/10.425 Info:Filtering - Merging: Total cpu/real time for replay: 15.39/13.3263 Info:Generate Free Relations: Total cpu/real time for freerel: 213.05/25.503 Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 575.7 Info:Polynomial Selection (root optimized): Rootsieve time: 575.32 Info:Generate Factor Base: Total cpu/real time for makefb: 1.6/0.299216 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 120.56/119.51 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 118.4s Info:Filtering - Singleton removal: Total cpu/real time for purge: 335.59/394.438 Info:Linear Algebra: Total cpu/real time for bwc: 7638/1143.37 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 4470.19, WCT time 647.84, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (33000 iterations) Info:Linear Algebra: Lingen CPU time 38.83, WCT time 39.23 Info:Linear Algebra: Mksol: CPU time 2427.01, WCT time 358.37, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (18000 iterations) Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 39657.6 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 27584/36.770/46.456/58.170/2.346 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 22731/35.960/40.859/54.880/1.802 Info:Polynomial Selection (size optimized): Total time: 2257.72 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 572.89/679.946 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 442.20000000000005s Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 30884202 Info:Lattice Sieving: Average J: 3959.17 for 163010 special-q, max bucket fill -bkmult 1.0,1s:1.259880 Info:Lattice Sieving: Total time: 78150.2s Info:Quadratic Characters: Total cpu/real time for characters: 27.97/7.15332 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 84977.1/10733.6 [02:58:54] Info:root: Cleaning up computation data in /tmp/cado.e16jct2p 168526237537312245626479318083575257674971668020684182899198372393 8828897701440926600169348058954337474321194749049125100456421 END:Wed Jun 19 03:16:34 AM AEST 2024 (1487900911225663688087429608964395149264624876947752790256899314671964461964895339003137570434976225046988269763678384625985453 - C127) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2500 | ccc | June 18, 2024 03:22:13 UTC 2024 年 6 月 18 日 (火) 12 時 22 分 13 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | August 25, 2024 06:51:05 UTC 2024 年 8 月 25 日 (日) 15 時 51 分 5 秒 (日本時間) |
name 名前 | Ignacio Santos |
---|---|
date 日付 | August 25, 2024 06:51:38 UTC 2024 年 8 月 25 日 (日) 15 時 51 分 38 秒 (日本時間) |
composite number 合成数 | 325184549648899688167003862161120552040581056902441438551230161784856530663543469615639605490089041554900102126597469905054914348139816473404234426900286352000461151759311878137819746404888508634311610291879458983030285109119<225> |
prime factors 素因数 | 485199359773798695807407972944139570389901<42> |
composite cofactor 合成数の残り | 670208117752879225733454043970416658766431123375581756167388273214265697940880399535368021638197695452770808126910351135238815355948443562329321749982063090394852305460427049837801019<183> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1560061684 Step 1 took 9610ms Step 2 took 4406ms ********** Factor found in step 2: 485199359773798695807407972944139570389901 Found prime factor of 42 digits: 485199359773798695807407972944139570389901 Composite cofactor 670208117752879225733454043970416658766431123375581756167388273214265697940880399535368021638197695452770808126910351135238815355948443562329321749982063090394852305460427049837801019 has 183 digits |
software ソフトウェア | GMP-ECM |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | August 28, 2024 05:46:53 UTC 2024 年 8 月 28 日 (水) 14 時 46 分 53 秒 (日本時間) |
name 名前 | Ignacio Santos |
---|---|
date 日付 | August 25, 2024 07:08:13 UTC 2024 年 8 月 25 日 (日) 16 時 8 分 13 秒 (日本時間) |
composite number 合成数 | 15026301698307176757193944344733814886846726388377351487486414137338605948113524087939087669111034230947008141380941750653301431431432056571895837393334942472431369604548904042226243502346568868376829811629115232273944704447<224> |
prime factors 素因数 | 45077968229652100859221865719744669<35> |
composite cofactor 合成数の残り | 333340261072879006011224519476956105982626089630478785731940380067645969299104072374676734525468087842784153588173280683637828697164792829593089466563434316451050310385771960069821120938763<189> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1126444520 Step 1 took 7328ms Step 2 took 3531ms ********** Factor found in step 2: 45077968229652100859221865719744669 Found prime factor of 35 digits: 45077968229652100859221865719744669 Composite cofactor 333340261072879006011224519476956105982626089630478785731940380067645969299104072374676734525468087842784153588173280683637828697164792829593089466563434316451050310385771960069821120938763 has 189 digits |
software ソフトウェア | GMP-ECM |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | August 28, 2024 05:47:37 UTC 2024 年 8 月 28 日 (水) 14 時 47 分 37 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | August 25, 2024 07:08:50 UTC 2024 年 8 月 25 日 (日) 16 時 8 分 50 秒 (日本時間) |
name 名前 | Ignacio Santos |
---|---|
date 日付 | August 25, 2024 07:29:12 UTC 2024 年 8 月 25 日 (日) 16 時 29 分 12 秒 (日本時間) |
composite number 合成数 | 127365356622998544395924308588064046579330422125181950509461426491994177583697234352256186317321688500727802037845705967976710334788937409024745269286754002911208151382823871906841339155749636098981077147016011644832605531295487627365356623<240> |
prime factors 素因数 | 3560750046671970358133886345852971513803<40> |
composite cofactor 合成数の残り | 35769249442835693229572366667493239404978542385027340574476479834463382083538999920814083646422263314092491704629882536366621185482125270395379447911926021915910682968113162349726114374689120019356941<200> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3776280238 Step 1 took 11593ms Step 2 took 4829ms ********** Factor found in step 2: 3560750046671970358133886345852971513803 Found prime factor of 40 digits: 3560750046671970358133886345852971513803 Composite cofactor 35769249442835693229572366667493239404978542385027340574476479834463382083538999920814083646422263314092491704629882536366621185482125270395379447911926021915910682968113162349726114374689120019356941 has 200 digits |
software ソフトウェア | GMP-ECM |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | August 28, 2024 05:48:18 UTC 2024 年 8 月 28 日 (水) 14 時 48 分 18 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | August 25, 2024 07:29:39 UTC 2024 年 8 月 25 日 (日) 16 時 29 分 39 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | August 25, 2024 08:09:04 UTC 2024 年 8 月 25 日 (日) 17 時 9 分 4 秒 (日本時間) |
name 名前 | Ignacio Santos |
---|---|
date 日付 | August 25, 2024 08:09:27 UTC 2024 年 8 月 25 日 (日) 17 時 9 分 27 秒 (日本時間) |
composite number 合成数 | 21265610935824918079647486689880241589190644562278790573318642193813716975881494102566213795261230219486067039418509751515897992226008624603174981037023340417365242897291841046651004303607233597739076020136577606091208633532398432769387<236> |
prime factors 素因数 | 8508293239485498925582670045306201269<37> |
composite cofactor 合成数の残り | 2499397979977340440812349397596402582463888657981216674139046395474253313747325491101446636952205230320258464879796981891977595635331438817383752418051364197602506889736822449292770040305954244625823<199> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4202269024 Step 1 took 11547ms ********** Factor found in step 1: 8508293239485498925582670045306201269 Found prime factor of 37 digits: 8508293239485498925582670045306201269 Composite cofactor 2499397979977340440812349397596402582463888657981216674139046395474253313747325491101446636952205230320258464879796981891977595635331438817383752418051364197602506889736822449292770040305954244625823 has 199 digits |
software ソフトウェア | GMP-ECM |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | August 28, 2024 05:55:15 UTC 2024 年 8 月 28 日 (水) 14 時 55 分 15 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | August 25, 2024 08:10:07 UTC 2024 年 8 月 25 日 (日) 17 時 10 分 7 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | August 25, 2024 08:10:17 UTC 2024 年 8 月 25 日 (日) 17 時 10 分 17 秒 (日本時間) |
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 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | June 3, 2022 15:08:28 UTC 2022 年 6 月 4 日 (土) 0 時 8 分 28 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | August 25, 2024 08:21:58 UTC 2024 年 8 月 25 日 (日) 17 時 21 分 58 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2201 | Thomas Kozlowski | September 27, 2024 08:55:20 UTC 2024 年 9 月 27 日 (金) 17 時 55 分 20 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2200 | Thomas Kozlowski | September 27, 2024 09:11:16 UTC 2024 年 9 月 27 日 (金) 18 時 11 分 16 秒 (日本時間) |
name 名前 | anonymous |
---|---|
date 日付 | September 24, 2024 05:19:17 UTC 2024 年 9 月 24 日 (火) 14 時 19 分 17 秒 (日本時間) |
composite number 合成数 | 3359729653957558166297521399979929211027582354762982390876274029188261262821271206020786346602684343379791543120480062032907295792299623589108579159922325191833275106503154020264523<181> |
prime factors 素因数 | 787961607294185357325992953779973085267<39> |
composite cofactor 合成数の残り | 4263824052918867103780630001696961824342633161351039410936546899528611437363929925357112462638173535117465035621589857623568275335883688003369<142> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:7521762818501778896 Step 1 took 20797ms ********** Factor found in step 2: 787961607294185357325992953779973085267 Found prime factor of 39 digits: 787961607294185357325992953779973085267 Composite cofactor 4263824052918867103780630001696961824342633161351039410936546899528611437363929925357112462638173535117465035621589857623568275335883688003369 has 142 digits |
software ソフトウェア | GMP-ECM 7.0.5 |
name 名前 | Ignacio Santos |
---|---|
date 日付 | September 27, 2024 14:56:04 UTC 2024 年 9 月 27 日 (金) 23 時 56 分 4 秒 (日本時間) |
composite number 合成数 | 4263824052918867103780630001696961824342633161351039410936546899528611437363929925357112462638173535117465035621589857623568275335883688003369<142> |
prime factors 素因数 | 1333874534437857896373361962713088681806800463<46> 3196570549055270776735772434755111184508428075110182643346566826266150550372414564681066926003463<97> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:495716893 Step 1 took 5594ms Step 2 took 2813ms ********** Factor found in step 2: 1333874534437857896373361962713088681806800463 Found prime factor of 46 digits: 1333874534437857896373361962713088681806800463 Prime cofactor 3196570549055270776735772434755111184508428075110182643346566826266150550372414564681066926003463 has 97 digits |
software ソフトウェア | GMP-ECM |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) |
name 名前 | anonymous |
---|---|
date 日付 | September 24, 2024 01:12:34 UTC 2024 年 9 月 24 日 (火) 10 時 12 分 34 秒 (日本時間) |
composite number 合成数 | 76717409072448649179545219790779994208602219125086845948854602275116662185493185954239377667342796705272959662180440463282113080774674853613733614469565584859032398748887510823972385410539<188> |
prime factors 素因数 | 294986425547277326097770186743003560020533<42> |
composite cofactor 合成数の残り | 260070980995541398573447292968933511647798601524422488863348682197795396237558403951216458675688860482969879320624740503363357069387817404780641183<147> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:12878752738764174089 Step 1 took 14938ms Step 2 took 5234ms ********** Factor found in step 2: 294986425547277326097770186743003560020533 Found prime factor of 42 digits: 294986425547277326097770186743003560020533 Composite cofactor 260070980995541398573447292968933511647798601524422488863348682197795396237558403951216458675688860482969879320624740503363357069387817404780641183 has 147 digits |
software ソフトウェア | GMP-ECM 7.0.5 |
name 名前 | Thomas Kozlowski |
---|---|
date 日付 | September 28, 2024 08:11:59 UTC 2024 年 9 月 28 日 (土) 17 時 11 分 59 秒 (日本時間) |
composite number 合成数 | 260070980995541398573447292968933511647798601524422488863348682197795396237558403951216458675688860482969879320624740503363357069387817404780641183<147> |
prime factors 素因数 | 10189493552928024432673674732918669591463759838562930758629098028819<68> 25523445266895343118006926591464025183038043430059029143858098092580444170831557<80> |
factorization results 素因数分解の結果 | FACTORS 10189493552928024432673674732918669591463759838562930758629098028819 25523445266895343118006926591464025183038043430059029143858098092580444170831557 POLYNOMIAL n: 260070980995541398573447292968933511647798601524422488863348682197795396237558403951216458675688860482969879320624740503363357069387817404780641183 skew: 767839.672 c0: 15712408022884828510369832161872048 c1: -156101962647541764614461798662 c2: -663309991706390080129997 c3: 488411708419854589 c4: 330862136082 c5: 138600 Y0: -19155325416131091031864158839 Y1: 3085231210856181531521 # MurphyE (Bf=2.147e+09,Bg=1.074e+09,area=3.087e+14) = 6.901e-07 # f(x) = 138600*x^5+330862136082*x^4+488411708419854589*x^3-663309991706390080129997*x^2-156101962647541764614461798662*x+15712408022884828510369832161872048 # g(x) = 3085231210856181531521*x-19155325416131091031864158839 |
software ソフトウェア | cado-nfs |
execution environment 実行環境 | 4x Xeon E7-8890v4, 1024GB DDR4, Ubuntu Server 24.04 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | September 27, 2024 14:56:23 UTC 2024 年 9 月 27 日 (金) 23 時 56 分 23 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2201 | Thomas Kozlowski | September 27, 2024 09:25:05 UTC 2024 年 9 月 27 日 (金) 18 時 25 分 5 秒 (日本時間) |
name 名前 | Thomas Kozlowski |
---|---|
date 日付 | September 27, 2024 09:26:51 UTC 2024 年 9 月 27 日 (金) 18 時 26 分 51 秒 (日本時間) |
composite number 合成数 | 7277240321653328801698424712832457054828033293638551720183699797237291069963859921322037067773274692063177751223547085186640921828365294357141147053359879447983992207433027253392951700356298085269030378855028815844809703475999981821981629899263<244> |
prime factors 素因数 | 528700448283727789911862091100499<33> |
composite cofactor 合成数の残り | 13764392190846012345178856638298009772863530616523718538081383469113872843835116898625941969732391408160163939834266096117320518575721099770975780514822896846951449570146123456685154150528945623114152540070419237<212> |
factorization results 素因数分解の結果 | GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM] Input number is 7277240321653328801698424712832457054828033293638551720183699797237291069963859921322037067773274692063177751223547085186640921828365294357141147053359879447983992207433027253392951700356298085269030378855028815844809703475999981821981629899263 (244 digits) Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2659231495 Step 1 took 14404ms Step 2 took 4883ms Run 2 out of 0: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4134369322 Step 1 took 11746ms Step 2 took 4881ms Run 3 out of 0: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:202233773 Step 1 took 11834ms ** Factor found in step 1: 528700448283727789911862091100499 Found prime factor of 33 digits: 528700448283727789911862091100499 Composite cofactor 13764392190846012345178856638298009772863530616523718538081383469113872843835116898625941969732391408160163939834266096117320518575721099770975780514822896846951449570146123456685154150528945623114152540070419237 has 212 digits |
execution environment 実行環境 | 2x Xeon E5-2698v4, 256GB DDR4, Ubuntu Server 24.04 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | September 30, 2024 15:32:57 UTC 2024 年 10 月 1 日 (火) 0 時 32 分 57 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2201 | Thomas Kozlowski | September 27, 2024 09:41:42 UTC 2024 年 9 月 27 日 (金) 18 時 41 分 42 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2500 | ddd | September 24, 2024 01:17:50 UTC 2024 年 9 月 24 日 (火) 10 時 17 分 50 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2500 | ddd | September 24, 2024 01:17:32 UTC 2024 年 9 月 24 日 (火) 10 時 17 分 32 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2200 | Thomas Kozlowski | September 27, 2024 09:59:13 UTC 2024 年 9 月 27 日 (金) 18 時 59 分 13 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2500 | ddd | September 24, 2024 05:21:25 UTC 2024 年 9 月 24 日 (火) 14 時 21 分 25 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2202 | Thomas Kozlowski | September 27, 2024 10:15:09 UTC 2024 年 9 月 27 日 (金) 19 時 15 分 9 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2204 | Thomas Kozlowski | September 27, 2024 10:28:59 UTC 2024 年 9 月 27 日 (金) 19 時 28 分 59 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2204 | Thomas Kozlowski | September 27, 2024 10:44:51 UTC 2024 年 9 月 27 日 (金) 19 時 44 分 51 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2203 | Thomas Kozlowski | September 27, 2024 11:00:41 UTC 2024 年 9 月 27 日 (金) 20 時 0 分 41 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2200 | Thomas Kozlowski | September 27, 2024 11:16:27 UTC 2024 年 9 月 27 日 (金) 20 時 16 分 27 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2201 | Thomas Kozlowski | September 27, 2024 11:30:21 UTC 2024 年 9 月 27 日 (金) 20 時 30 分 21 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2201 | Thomas Kozlowski | September 27, 2024 11:46:09 UTC 2024 年 9 月 27 日 (金) 20 時 46 分 9 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2200 | Thomas Kozlowski | September 27, 2024 12:01:55 UTC 2024 年 9 月 27 日 (金) 21 時 1 分 55 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2201 | Thomas Kozlowski | September 27, 2024 12:17:43 UTC 2024 年 9 月 27 日 (金) 21 時 17 分 43 秒 (日本時間) |
name 名前 | Thomas Kozlowski |
---|---|
date 日付 | September 27, 2024 18:54:44 UTC 2024 年 9 月 28 日 (土) 3 時 54 分 44 秒 (日本時間) |
composite number 合成数 | 10394453753256818876444555156121891162341647400903458783438608757022523896870794152498690975983282897311439926432195023416884737951104173672792344721069366227734134861809241260819968535373534000565438785132279894526995030639631608837566543378431825298698817180669926377<269> |
prime factors 素因数 | 38525037537866737988473149108530335432311313<44> 269810347181102189794332675857508232553078227284090929589756492055649470362071135191810647344399426052407752976974456516336874066693743630204447915022315466984796702550762169628017362018161531761682518408564415104180931159129<225> |
factorization results 素因数分解の結果 | GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM] Input number is 10394453753256818876444555156121891162341647400903458783438608757022523896870794152498690975983282897311439926432195023416884737951104173672792344721069366227734134861809241260819968535373534000565438785132279894526995030639631608837566543378431825298698817180669926377 (269 digits) Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3884662714 Step 1 took 18243ms Step 2 took 5414ms Run 2 out of 0: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:874425745 Step 1 took 13266ms Step 2 took 5381ms Run 3 out of 0: ... Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1349697535 Step 1 took 13146ms Step 2 took 5396ms Run 34 out of 0: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3198553895 Step 1 took 13151ms Step 2 took 5391ms ** Factor found in step 2: 38525037537866737988473149108530335432311313 Found prime factor of 44 digits: 38525037537866737988473149108530335432311313 Prime cofactor 269810347181102189794332675857508232553078227284090929589756492055649470362071135191810647344399426052407752976974456516336874066693743630204447915022315466984796702550762169628017362018161531761682518408564415104180931159129 has 225 digits |
execution environment 実行環境 | 2x Xeon E5-2698v4, 256GB DDR4, Ubuntu Server 24.04 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2202 | Thomas Kozlowski | September 27, 2024 12:45:58 UTC 2024 年 9 月 27 日 (金) 21 時 45 分 58 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2201 | Thomas Kozlowski | September 27, 2024 13:05:33 UTC 2024 年 9 月 27 日 (金) 22 時 5 分 33 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2200 | Thomas Kozlowski | September 27, 2024 13:25:09 UTC 2024 年 9 月 27 日 (金) 22 時 25 分 9 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2203 | Thomas Kozlowski | September 27, 2024 13:42:41 UTC 2024 年 9 月 27 日 (金) 22 時 42 分 41 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2201 | Thomas Kozlowski | September 27, 2024 13:58:30 UTC 2024 年 9 月 27 日 (金) 22 時 58 分 30 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2201 | Thomas Kozlowski | September 27, 2024 14:18:02 UTC 2024 年 9 月 27 日 (金) 23 時 18 分 2 秒 (日本時間) |
name 名前 | Thomas Kozlowski |
---|---|
date 日付 | September 27, 2024 18:55:28 UTC 2024 年 9 月 28 日 (土) 3 時 55 分 28 秒 (日本時間) |
composite number 合成数 | 5556507263535830613507169228249219170864247525082608799871542696490433872325523904955665114341739790953159934783166292881693107414435200179622892451007149867790339508163009890817254942949317356633700048778576923966184056958576073877725382115717893591192914904319577118782408951737173<283> |
prime factors 素因数 | 109114639262329185070472691033351409289<39> |
composite cofactor 合成数の残り | 50923572685577883734028946657574567568859757555183836464265638088201290649348619707199092738108035220273551731060304546338099630932824243353154211141917876434315993514786496808721218583697333666857602400794700300475645085551855653140102087189357<245> |
factorization results 素因数分解の結果 | GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM] Input number is 5556507263535830613507169228249219170864247525082608799871542696490433872325523904955665114341739790953159934783166292881693107414435200179622892451007149867790339508163009890817254942949317356633700048778576923966184056958576073877725382115717893591192914904319577118782408951737173 (283 digits) Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1019257561 Step 1 took 17626ms Step 2 took 5760ms ** Factor found in step 2: 109114639262329185070472691033351409289 Found prime factor of 39 digits: 109114639262329185070472691033351409289 Composite cofactor 50923572685577883734028946657574567568859757555183836464265638088201290649348619707199092738108035220273551731060304546338099630932824243353154211141917876434315993514786496808721218583697333666857602400794700300475645085551855653140102087189357 has 245 digits |
execution environment 実行環境 | 2x Xeon E5-2698v4, 256GB DDR4, Ubuntu Server 24.04 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2200 | Thomas Kozlowski | September 27, 2024 14:36:03 UTC 2024 年 9 月 27 日 (金) 23 時 36 分 3 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2203 | Thomas Kozlowski | September 27, 2024 14:57:50 UTC 2024 年 9 月 27 日 (金) 23 時 57 分 50 秒 (日本時間) |
name 名前 | Thomas Kozlowski |
---|---|
date 日付 | September 27, 2024 18:56:32 UTC 2024 年 9 月 28 日 (土) 3 時 56 分 32 秒 (日本時間) |
composite number 合成数 | 88449497437376116487809529764732969700263036051398113424072884526140996935813300908813060665635821785158067728475187969556393466718325132863189393521800060035374991121395671496092329650938350473795596790271539866222524724213845403945331315857898009166535868672467<263> |
prime factors 素因数 | 14022843675191320560341947249914337<35> |
composite cofactor 合成数の残り | 6307529306188985697765485448528261976713120991272483910538604683947176455681294400339160352095565303857813901896234613330793574183068038936898597100454054176909342450763100585976659496070639194912771963606137603681327614954109491<229> |
factorization results 素因数分解の結果 | GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM] Input number is 88449497437376116487809529764732969700263036051398113424072884526140996935813300908813060665635821785158067728475187969556393466718325132863189393521800060035374991121395671496092329650938350473795596790271539866222524724213845403945331315857898009166535868672467 (263 digits) Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2830048606 Step 1 took 14261ms Step 2 took 5342ms Run 2 out of 0: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1717738842 Step 1 took 13177ms Step 2 took 5386ms Run 3 out of 0: ... Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:879217719 Step 1 took 13243ms Step 2 took 5328ms Run 13 out of 0: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1117927999 Step 1 took 13399ms Step 2 took 5315ms ** Factor found in step 2: 14022843675191320560341947249914337 Found prime factor of 35 digits: 14022843675191320560341947249914337 Composite cofactor 6307529306188985697765485448528261976713120991272483910538604683947176455681294400339160352095565303857813901896234613330793574183068038936898597100454054176909342450763100585976659496070639194912771963606137603681327614954109491 has 229 digits |
execution environment 実行環境 | 2x Xeon E5-2698v4, 256GB DDR4, Ubuntu Server 24.04 |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2200 | Thomas Kozlowski | September 27, 2024 15:23:39 UTC 2024 年 9 月 28 日 (土) 0 時 23 分 39 秒 (日本時間) |
level レベル | B1 | reported runs 報告された回数 | name 名前 | date 日付 | |
---|---|---|---|---|---|
35 | 1e6 | 1000 | Eric Jeancolas | May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 1792 | Dmitry Domanov | May 30, 2022 22:47:26 UTC 2022 年 5 月 31 日 (火) 7 時 47 分 26 秒 (日本時間) | |
45 | 11e6 | 3584 | Dmitry Domanov | June 1, 2022 23:53:43 UTC 2022 年 6 月 2 日 (木) 8 時 53 分 43 秒 (日本時間) | |
50 | 43e6 | 130 / 6675 | Dmitry Domanov | June 1, 2022 23:53:43 UTC 2022 年 6 月 2 日 (木) 8 時 53 分 43 秒 (日本時間) |