name 名前 | Eric Jeancolas |
---|---|
date 日付 | May 30, 2022 20:30:19 UTC 2022 年 5 月 31 日 (火) 5 時 30 分 19 秒 (日本時間) |
composite number 合成数 | 6620610247553252734599884858952216465169833045480713874496257915947035118019573978123200921128382268278641335636154289<118> |
prime factors 素因数 | 8716911221386389904013286498469303907<37> 72778774430875218638580758601680327597<38> 10435918074617230697485369013225498670964391<44> |
factorization results 素因数分解の結果 | 6620610247553252734599884858952216465169833045480713874496257915947035118019573978123200921128382268278641335636154289=8716911221386389904013286498469303907*72778774430875218638580758601680327597*10435918074617230697485369013225498670964391 cado polynomial n: 6620610247553252734599884858952216465169833045480713874496257915947035118019573978123200921128382268278641335636154289 skew: 0.88 type: snfs c0: -14 c4: 23 Y0: 1000000000000000000000000000000 Y1: -1 # f(x) = 23*x^4-14 # g(x) = -x+1000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 740000 tasks.lim1 = 740000 tasks.lpb0 = 25 tasks.lpb1 = 25 tasks.sieve.mfb0 = 46 tasks.sieve.mfb1 = 46 tasks.sieve.lambda0 = 2.2 tasks.sieve.lambda1 = 2.2 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 72778774430875218638580758601680327597 10435918074617230697485369013225498670964391 8716911221386389904013286498469303907 Info:Square Root: Total cpu/real time for sqrt: 13.36/11.4981 Info:Filtering - Singleton removal: Total cpu/real time for purge: 29.89/41.1759 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 3401778 Info:Lattice Sieving: Average J: 1898.78 for 17576 special-q, max bucket fill -bkmult 1.0,1s:1.347090 Info:Lattice Sieving: Total time: 3259.9s Info:Linear Algebra: Total cpu/real time for bwc: 111.49/106.44 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 28.78, WCT time 30.08, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1920 iterations) Info:Linear Algebra: Lingen CPU time 63.54, WCT time 55.74 Info:Linear Algebra: Mksol: CPU time 15.56, WCT time 16.99, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (960 iterations) Info:Generate Free Relations: Total cpu/real time for freerel: 18.21/6.38311 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 11.97/21.9726 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 21.7s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 25.11/43.6333 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 37.0s Info:Filtering - Merging: Merged matrix has 59230 rows and total weight 10084516 (170.3 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 20.62/17.893 Info:Filtering - Merging: Total cpu/real time for replay: 1.93/2.05505 Info:Generate Factor Base: Total cpu/real time for makefb: 0.38/0.20679 Info:Quadratic Characters: Total cpu/real time for characters: 1.93/1.73071 Info:Square Root: Total cpu/real time for sqrt: 13.36/11.4981 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3223.49/2098.65 Info:root: Cleaning up computation data in /tmp/cado.hxtb4wux 72778774430875218638580758601680327597 10435918074617230697485369013225498670964391 8716911221386389904013286498469303907 |
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 21:30:28 UTC 2022 年 5 月 30 日 (月) 6 時 30 分 28 秒 (日本時間) |
composite number 合成数 | 493911525817173661015634942798182726172917347281717693757993293564496194059432519346346199<90> |
prime factors 素因数 | 11481294442326890560329089716187675384804153<44> 43018801433775756215403759416967200891988925583<47> |
factorization results 素因数分解の結果 | Sun May 29 22:54:42 2022 Msieve v. 1.53 (SVN 1005) Sun May 29 22:54:42 2022 random seeds: c0049368 da5fcd4f Sun May 29 22:54:42 2022 factoring 493911525817173661015634942798182726172917347281717693757993293564496194059432519346346199 (90 digits) Sun May 29 22:54:42 2022 searching for 15-digit factors Sun May 29 22:54:43 2022 commencing quadratic sieve (90-digit input) Sun May 29 22:54:43 2022 using multiplier of 1 Sun May 29 22:54:43 2022 using generic 32kb sieve core Sun May 29 22:54:43 2022 sieve interval: 36 blocks of size 32768 Sun May 29 22:54:43 2022 processing polynomials in batches of 6 Sun May 29 22:54:43 2022 using a sieve bound of 1584943 (59717 primes) Sun May 29 22:54:43 2022 using large prime bound of 126795440 (26 bits) Sun May 29 22:54:43 2022 using double large prime bound of 385111478867040 (42-49 bits) Sun May 29 22:54:43 2022 using trial factoring cutoff of 49 bits Sun May 29 22:54:43 2022 polynomial 'A' values have 11 factors Sun May 29 23:20:12 2022 59938 relations (15537 full + 44401 combined from 647133 partial), need 59813 Sun May 29 23:20:13 2022 begin with 662670 relations Sun May 29 23:20:13 2022 reduce to 148662 relations in 9 passes Sun May 29 23:20:13 2022 attempting to read 148662 relations Sun May 29 23:20:13 2022 recovered 148662 relations Sun May 29 23:20:13 2022 recovered 129342 polynomials Sun May 29 23:20:13 2022 attempting to build 59938 cycles Sun May 29 23:20:13 2022 found 59938 cycles in 5 passes Sun May 29 23:20:13 2022 distribution of cycle lengths: Sun May 29 23:20:13 2022 length 1 : 15537 Sun May 29 23:20:13 2022 length 2 : 10899 Sun May 29 23:20:13 2022 length 3 : 10697 Sun May 29 23:20:13 2022 length 4 : 8136 Sun May 29 23:20:13 2022 length 5 : 5890 Sun May 29 23:20:13 2022 length 6 : 3644 Sun May 29 23:20:13 2022 length 7 : 2356 Sun May 29 23:20:13 2022 length 9+: 2779 Sun May 29 23:20:13 2022 largest cycle: 20 relations Sun May 29 23:20:13 2022 matrix is 59717 x 59938 (16.0 MB) with weight 3725404 (62.15/col) Sun May 29 23:20:13 2022 sparse part has weight 3725404 (62.15/col) Sun May 29 23:20:14 2022 filtering completed in 3 passes Sun May 29 23:20:14 2022 matrix is 56278 x 56342 (15.2 MB) with weight 3526538 (62.59/col) Sun May 29 23:20:14 2022 sparse part has weight 3526538 (62.59/col) Sun May 29 23:20:14 2022 saving the first 48 matrix rows for later Sun May 29 23:20:14 2022 matrix includes 64 packed rows Sun May 29 23:20:14 2022 matrix is 56230 x 56342 (11.6 MB) with weight 2959732 (52.53/col) Sun May 29 23:20:14 2022 sparse part has weight 2485062 (44.11/col) Sun May 29 23:20:14 2022 using block size 8192 and superblock size 1179648 for processor cache size 12288 kB Sun May 29 23:20:14 2022 commencing Lanczos iteration Sun May 29 23:20:14 2022 memory use: 7.0 MB Sun May 29 23:20:19 2022 lanczos halted after 891 iterations (dim = 56228) Sun May 29 23:20:19 2022 recovered 16 nontrivial dependencies Sun May 29 23:20:19 2022 p44 factor: 11481294442326890560329089716187675384804153 Sun May 29 23:20:19 2022 p47 factor: 43018801433775756215403759416967200891988925583 Sun May 29 23:20:19 2022 elapsed time 00:25:37 |
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 29, 2022 17:51:49 UTC 2022 年 5 月 30 日 (月) 2 時 51 分 49 秒 (日本時間) |
composite number 合成数 | 150535316504963237427133321617388831206139337999422296917961830431172452292098673<81> |
prime factors 素因数 | 5055824850098477158321611279896387<34> 29774630444729729201528847424716701247759864379<47> |
factorization results 素因数分解の結果 | 150535316504963237427133321617388831206139337999422296917961830431172452292098673 = 5055824850098477158321611279896387 * 29774630444729729201528847424716701247759864379 Time elapsed: 0d 0h 5m 35.9s Modular multiplications: ECM: 78622512 Probable prime checking: 1349 SIQS: 118897 Sum of squares: 8050 SIQS: 847228 polynomials sieved 372477 sets of trial divisions 14053 smooth congruences found (1 out of every 4724654 values) 158577 partial congruences found (1 out of every 418696 values) 14761 useful partial congruences Size of binary matrix: 26728 × 26052 Timings: Probable prime test of 3 numbers: 0d 0h 0m 0.0s Factoring 1 number using ECM: 0d 0h 0m 14.6s Factoring 1 number using SIQS: 0d 0h 5m 21.3s |
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 | Dmitry Domanov |
---|---|
date 日付 | May 31, 2022 16:11:14 UTC 2022 年 6 月 1 日 (水) 1 時 11 分 14 秒 (日本時間) |
composite number 合成数 | 3563586578219067549456926448719570805351044420602500850690091639643060012750202899774065512169973535566561770171658585227<121> |
prime factors 素因数 | 274117806775870659762184338157542669733198292517671<51> 13000200972470183290119777580031855141174688089530967945771348905853437<71> |
factorization results 素因数分解の結果 | N=3563586578219067549456926448719570805351044420602500850690091639643060012750202899774065512169973535566561770171658585227 ( 121 digits) SNFS difficulty: 128 digits. Divisors found: p51 factor: 274117806775870659762184338157542669733198292517671 p71 factor: 13000200972470183290119777580031855141174688089530967945771348905853437 Version: Msieve v. 1.54 (SVN 1043M) Total time: 1.74 hours. Scaled time: 0.00 units (timescale=0.000). Factorization parameters were as follows: n: 3563586578219067549456926448719570805351044420602500850690091639643060012750202899774065512169973535566561770171658585227 m: 50000000000000000000000000000000 deg: 4 c4: 92 c0: -35 skew: 0.79 # Murphy_E = 1.811e-08 type: snfs lss: 1 rlim: 980000 alim: 980000 lpbr: 26 lpba: 26 mfbr: 47 mfba: 47 rlambda: 2.3 alambda: 2.3 Factor base limits: 980000/980000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 47/47 Sieved rational special-q in [490000, 890001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 106471 x 106699 Total sieving time: 1.70 hours. Total relation processing time: 0.02 hours. Matrix solve time: 0.02 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,128.000,4,0,0,0,0,0,0,0,0,980000,980000,26,26,47,47,2.3,2.3,100000 total time: 1.74 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 | June 1, 2022 09:02:04 UTC 2022 年 6 月 1 日 (水) 18 時 2 分 4 秒 (日本時間) |
composite number 合成数 | 8306153999388470849726725650151337179902308262997064692791223008541193566837288886572581066020926217329<103> |
prime factors 素因数 | 107266265849319903498373270588559319475027538300327<51> 77434913331059468995088059992299522776359814121535527<53> |
factorization results 素因数分解の結果 | 8306153999388470849726725650151337179902308262997064692791223008541193566837288886572581066020926217329=107266265849319903498373270588559319475027538300327*77434913331059468995088059992299522776359814121535527 cado polynomial n: 8306153999388470849726725650151337179902308262997064692791223008541193566837288886572581066020926217329 skew: 0.50 type: snfs c0: -7 c4: 115 Y0: 1000000000000000000000000000000000 Y1: -1 # f(x) = 115*x^4-7 # g(x) = -x+1000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 1200000 tasks.lim1 = 1200000 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: 107266265849319903498373270588559319475027538300327 77434913331059468995088059992299522776359814121535527 Info:Square Root: Total cpu/real time for sqrt: 15.38/12.55 Info:Quadratic Characters: Total cpu/real time for characters: 3.54/2.81522 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 47.95/71.7945 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 67.19999999999999s Info:Square Root: Total cpu/real time for sqrt: 15.38/12.55 Info:Linear Algebra: Total cpu/real time for bwc: 282.66/263.33 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 97.58, WCT time 95.53, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (3520 iterations) Info:Linear Algebra: Lingen CPU time 121.81, WCT time 104.4 Info:Linear Algebra: Mksol: CPU time 56.41, WCT time 56.71, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (1792 iterations) Info:Filtering - Singleton removal: Total cpu/real time for purge: 54.19/75.7442 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 6090335 Info:Lattice Sieving: Average J: 1894.28 for 69278 special-q, max bucket fill -bkmult 1.0,1s:1.317480 Info:Lattice Sieving: Total time: 12954s Info:Generate Free Relations: Total cpu/real time for freerel: 36.5/24.9205 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.35/39.1933 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 39.0s Info:Filtering - Merging: Merged matrix has 111795 rows and total weight 19018295 (170.1 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 28.15/22.9271 Info:Filtering - Merging: Total cpu/real time for replay: 3.56/3.92135 Info:Generate Factor Base: Total cpu/real time for makefb: 0.63/0.786234 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 12451.7/7221.47 Info:root: Cleaning up computation data in /tmp/cado.8auxwd5e 107266265849319903498373270588559319475027538300327 77434913331059468995088059992299522776359814121535527 |
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 13:24:09 UTC 2022 年 6 月 1 日 (水) 22 時 24 分 9 秒 (日本時間) |
composite number 合成数 | 51263273192899061625361274057190538972461168387878607989052141626765872399682454436749593477127689678631289<107> |
prime factors 素因数 | 161108732771174931339833650042192889704024339157<48> 318190530774697555823347057422213761600853956453718541446677<60> |
factorization results 素因数分解の結果 | 51263273192899061625361274057190538972461168387878607989052141626765872399682454436749593477127689678631289=161108732771174931339833650042192889704024339157*318190530774697555823347057422213761600853956453718541446677 cado polynomial n: 51263273192899061625361274057190538972461168387878607989052141626765872399682454436749593477127689678631289 skew: 0.79 type: snfs c0: -35 c4: 92 Y0: 5000000000000000000000000000000000 Y1: -1 # f(x) = 92*x^4-35 # g(x) = -x+5000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 1330000 tasks.lim1 = 1330000 tasks.lpb0 = 26 tasks.lpb1 = 26 tasks.sieve.mfb0 = 48 tasks.sieve.mfb1 = 48 tasks.sieve.lambda0 = 2.3 tasks.sieve.lambda1 = 2.3 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 161108732771174931339833650042192889704024339157 318190530774697555823347057422213761600853956453718541446677 Info:Square Root: Total cpu/real time for sqrt: 18.71/15.4237 Info:Filtering - Singleton removal: Total cpu/real time for purge: 48.44/69.1368 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 6132818 Info:Lattice Sieving: Average J: 1894.45 for 67182 special-q, max bucket fill -bkmult 1.0,1s:1.372010 Info:Lattice Sieving: Total time: 12751.7s Info:Linear Algebra: Total cpu/real time for bwc: 358.35/357.16 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 146.4, WCT time 156.99, iteration CPU time 0.02, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (4096 iterations) Info:Linear Algebra: Lingen CPU time 124.47, WCT time 108.02 Info:Linear Algebra: Mksol: CPU time 79.22, WCT time 84.28, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (2048 iterations) Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.16/40.2701 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 40.1s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 49.76/75.5924 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 69.9s Info:Generate Free Relations: Total cpu/real time for freerel: 36.83/26.199 Info:Filtering - Merging: Merged matrix has 129757 rows and total weight 22116443 (170.4 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 31.8/25.7877 Info:Filtering - Merging: Total cpu/real time for replay: 4.29/4.63933 Info:Generate Factor Base: Total cpu/real time for makefb: 0.68/0.907708 Info:Quadratic Characters: Total cpu/real time for characters: 4.21/3.79114 Info:Square Root: Total cpu/real time for sqrt: 18.71/15.4237 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 12116.4/7189.73 Info:root: Cleaning up computation data in /tmp/cado.fo8uhmi_ 161108732771174931339833650042192889704024339157 318190530774697555823347057422213761600853956453718541446677 |
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 05:08:00 UTC 2022 年 5 月 30 日 (月) 14 時 8 分 0 秒 (日本時間) |
composite number 合成数 | 19549493577773869985744691686814450896684720851814279986071597237134196577145067116697337777<92> |
prime factors 素因数 | 1023328329728623057279909883150410721<37> 19103833061045236376956483399285126533198081884728989137<56> |
factorization results 素因数分解の結果 | 19549493577773869985744691686814450896684720851814279986071597237134196577145067116697337777=1023328329728623057279909883150410721*19103833061045236376956483399285126533198081884728989137 cado polynomial n: 19549493577773869985744691686814450896684720851814279986071597237134196577145067116697337777 skew: 132415.815 c0: -4748034534599448411573117 c1: -86538187831199063866 c2: 1065246549697651 c3: 1120826280 c4: -23940 Y0: -11449357419403757337550 Y1: 483439624740043 # MurphyE (Bf=8.389e+06,Bg=8.389e+06,area=4.214e+11) = 2.972e-06 # f(x) = -23940*x^4+1120826280*x^3+1065246549697651*x^2-86538187831199063866*x-4748034534599448411573117 # g(x) = 483439624740043*x-11449357419403757337550 cado parameters (extracts) tasks.lim0 = 600000 tasks.lim1 = 850000 tasks.lpb0 = 24 tasks.lpb1 = 25 tasks.sieve.mfb0 = 48 tasks.sieve.mfb1 = 50 tasks.I = 11 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 1023328329728623057279909883150410721 19103833061045236376956483399285126533198081884728989137 Info:Square Root: Total cpu/real time for sqrt: 17.16/12.8786 Info:Filtering - Singleton removal: Total cpu/real time for purge: 6.25/10.1594 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 1079405 Info:Lattice Sieving: Average J: 1022.2 for 31846 special-q, max bucket fill -bkmult 1.0,1s:1.409390 Info:Lattice Sieving: Total time: 1665.57s Info:Linear Algebra: Total cpu/real time for bwc: 145.94/135.91 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 54.48, WCT time 53.24, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (2800 iterations) Info:Linear Algebra: Lingen CPU time 55.46, WCT time 46.36 Info:Linear Algebra: Mksol: CPU time 29.69, WCT time 30.69, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (1400 iterations) Info:Generate Free Relations: Total cpu/real time for freerel: 6.33/2.09413 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 4.41/8.48706 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 7.8s Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 42.27 Info:Polynomial Selection (root optimized): Rootsieve time: 41.94 Info:Generate Factor Base: Total cpu/real time for makefb: 0.61/0.173393 Info:Filtering - Merging: Merged matrix has 86160 rows and total weight 14705773 (170.7 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 22.13/17.838 Info:Filtering - Merging: Total cpu/real time for replay: 3.07/3.37902 Info:Quadratic Characters: Total cpu/real time for characters: 2.96/2.30465 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): 2417/30.080/34.518/37.830/0.749 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 1499/30.350/33.324/36.160/1.110 Info:Polynomial Selection (size optimized): Total time: 37.7 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 9.88/18.3533 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 12.900000000000002s Info:Square Root: Total cpu/real time for sqrt: 17.16/12.8786 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2178.42/1098.94 Info:root: Cleaning up computation data in /tmp/cado.x_og9ryp 1023328329728623057279909883150410721 19103833061045236376956483399285126533198081884728989137 |
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 20:01:45 UTC 2022 年 5 月 30 日 (月) 5 時 1 分 45 秒 (日本時間) |
composite number 合成数 | 12799536990661903012899707280154039645174574554520462564136810355381927053769185392945785613320422496021013500729017106859438823778200719<137> |
prime factors 素因数 | 31363465541817984191752981827896563313416244215963123146138595637<65> 408103402144633583090963278954322821207897300063237148511521757707911987<72> |
factorization results 素因数分解の結果 | Number: n N=12799536990661903012899707280154039645174574554520462564136810355381927053769185392945785613320422496021013500729017106859438823778200719 ( 137 digits) SNFS difficulty: 141 digits. Divisors found: Mon May 30 05:52:45 2022 p65 factor: 31363465541817984191752981827896563313416244215963123146138595637 Mon May 30 05:52:45 2022 p72 factor: 408103402144633583090963278954322821207897300063237148511521757707911987 Mon May 30 05:52:45 2022 elapsed time 00:02:46 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.341). Factorization parameters were as follows: # # N = 23x10^140-14 = 25(139)4 # n: 12799536990661903012899707280154039645174574554520462564136810355381927053769185392945785613320422496021013500729017106859438823778200719 m: 100000000000000000000000000000000000 deg: 4 c4: 23 c0: -14 skew: 0.88 # Murphy_E = 3.895e-09 type: snfs lss: 1 rlim: 1590000 alim: 1590000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.3 alambda: 2.3 Factor base limits: 1590000/1590000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved special-q in [100000, 6395000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 499967 hash collisions in 6966069 relations (7230536 unique) Msieve: matrix is 215452 x 215678 (70.6 MB) Sieving start time : 2022/05/30 05:29:28 Sieving end time : 2022/05/30 05:47:37 Total sieving time: 0hrs 18min 9secs. Total relation processing time: 0hrs 1min 0sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 12sec. Prototype def-par.txt line would be: snfs,141,4,0,0,0,0,0,0,0,0,1590000,1590000,26,26,48,48,2.3,2.3,100000 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 | Eric Jeancolas |
---|---|
date 日付 | June 1, 2022 20:27:16 UTC 2022 年 6 月 2 日 (木) 5 時 27 分 16 秒 (日本時間) |
composite number 合成数 | 10470692374003144597754881011995316593861887336076144733125962404269045326019410434394545509501535799371269663467<113> |
prime factors 素因数 | 608850137038988861440861455556664774084121815527<48> 17197487094156035570227404312122340020333395378399895791900016221<65> |
factorization results 素因数分解の結果 | 10470692374003144597754881011995316593861887336076144733125962404269045326019410434394545509501535799371269663467=608850137038988861440861455556664774084121815527*17197487094156035570227404312122340020333395378399895791900016221 cado polynomial n: 10470692374003144597754881011995316593861887336076144733125962404269045326019410434394545509501535799371269663467 skew: 0.50 type: snfs c0: -7 c4: 115 Y0: 100000000000000000000000000000000000 Y1: -1 # f(x) = 115*x^4-7 # g(x) = -x+100000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 1630000 tasks.lim1 = 1630000 tasks.lpb0 = 26 tasks.lpb1 = 26 tasks.sieve.mfb0 = 48 tasks.sieve.mfb1 = 48 tasks.sieve.lambda0 = 2.3 tasks.sieve.lambda1 = 2.3 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 17197487094156035570227404312122340020333395378399895791900016221 608850137038988861440861455556664774084121815527 Info:Square Root: Total cpu/real time for sqrt: 26.65/20.8916 Info:Quadratic Characters: Total cpu/real time for characters: 5.73/4.66573 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 50.88/76.8179 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 71.1s Info:Square Root: Total cpu/real time for sqrt: 26.65/20.8916 Info:Linear Algebra: Total cpu/real time for bwc: 618.87/578.38 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 288.36, WCT time 276.67, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (5760 iterations) Info:Linear Algebra: Lingen CPU time 155.36, WCT time 130.78 Info:Linear Algebra: Mksol: CPU time 158.38, WCT time 155.39, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (2944 iterations) Info:Filtering - Singleton removal: Total cpu/real time for purge: 43.25/61.0259 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 6076430 Info:Lattice Sieving: Average J: 1895.62 for 124828 special-q, max bucket fill -bkmult 1.0,1s:1.330440 Info:Lattice Sieving: Total time: 21379.7s Info:Generate Free Relations: Total cpu/real time for freerel: 36.71/25.3803 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.97/40.0372 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 39.8s Info:Filtering - Merging: Merged matrix has 182710 rows and total weight 31070798 (170.1 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 40.97/31.0524 Info:Filtering - Merging: Total cpu/real time for replay: 6.14/6.54314 Info:Generate Factor Base: Total cpu/real time for makefb: 0.82/1.11851 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 20484/11662.5 Info:root: Cleaning up computation data in /tmp/cado.z35abkf6 17197487094156035570227404312122340020333395378399895791900016221 608850137038988861440861455556664774084121815527 |
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 21:20:21 UTC 2022 年 5 月 30 日 (月) 6 時 20 分 21 秒 (日本時間) |
composite number 合成数 | 500358097566793896814369495440836238157591496878046476641739574172471357613208364404815216409910582552883376732456372516461971872345093<135> |
prime factors 素因数 | 254676536068888627344931846958335580433226277<45> 1964680787991594695471550926245592892661344959333312248971939189117565272236159433750131809<91> |
factorization results 素因数分解の結果 | Number: n N=500358097566793896814369495440836238157591496878046476641739574172471357613208364404815216409910582552883376732456372516461971872345093 ( 135 digits) SNFS difficulty: 145 digits. Divisors found: Mon May 30 07:12:18 2022 p45 factor: 254676536068888627344931846958335580433226277 Mon May 30 07:12:18 2022 p91 factor: 1964680787991594695471550926245592892661344959333312248971939189117565272236159433750131809 Mon May 30 07:12:18 2022 elapsed time 00:03:18 (Msieve 1.54 - dependency 4) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.339). Factorization parameters were as follows: # # N = 23x10^144-14 = 25(143)4 # n: 500358097566793896814369495440836238157591496878046476641739574172471357613208364404815216409910582552883376732456372516461971872345093 m: 1000000000000000000000000000000000000 deg: 4 c4: 23 c0: -14 skew: 0.88 # Murphy_E = 2.448e-09 type: snfs lss: 1 rlim: 1850000 alim: 1850000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.3 alambda: 2.3 Factor base limits: 1850000/1850000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved special-q in [100000, 6525000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 487548 hash collisions in 6496633 relations (6726364 unique) Msieve: matrix is 271938 x 272163 (92.7 MB) Sieving start time : 2022/05/30 06:47:45 Sieving end time : 2022/05/30 07:08:42 Total sieving time: 0hrs 20min 57secs. Total relation processing time: 0hrs 1min 12sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 34sec. Prototype def-par.txt line would be: snfs,145,4,0,0,0,0,0,0,0,0,1850000,1850000,26,26,49,49,2.3,2.3,100000 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 | Eric Jeancolas |
---|---|
date 日付 | June 3, 2022 05:19:23 UTC 2022 年 6 月 3 日 (金) 14 時 19 分 23 秒 (日本時間) |
composite number 合成数 | 4917448160290170378470507578173085002558288091314199250352668127508740616996249587061255199265521600762420821241<112> |
prime factors 素因数 | 908018909140448175663790811199288424572312286471316539<54> 5415579026812493597522213262499567115785176244188937213019<58> |
factorization results 素因数分解の結果 | 4917448160290170378470507578173085002558288091314199250352668127508740616996249587061255199265521600762420821241=908018909140448175663790811199288424572312286471316539*5415579026812493597522213262499567115785176244188937213019 cado polynomial n: 4917448160290170378470507578173085002558288091314199250352668127508740616996249587061255199265521600762420821241 skew: 0.50 type: snfs c0: -7 c4: 115 Y0: 1000000000000000000000000000000000000 Y1: -1 # f(x) = 115*x^4-7 # g(x) = -x+1000000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 1900000 tasks.lim1 = 1900000 tasks.lpb0 = 26 tasks.lpb1 = 26 tasks.sieve.mfb0 = 49 tasks.sieve.mfb1 = 49 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: 5415579026812493597522213262499567115785176244188937213019 908018909140448175663790811199288424572312286471316539 Info:Square Root: Total cpu/real time for sqrt: 133.31/99.3012 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 51.7/77.7715 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 71.9s Info:Square Root: Total cpu/real time for sqrt: 133.31/99.3012 Info:Filtering - Singleton removal: Total cpu/real time for purge: 34.59/51.9443 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 6044876 Info:Lattice Sieving: Average J: 1895.95 for 152605 special-q, max bucket fill -bkmult 1.0,1s:1.322390 Info:Lattice Sieving: Total time: 25696s Info:Linear Algebra: Total cpu/real time for bwc: 1055.8/907.22 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 572.61, WCT time 530.27, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (7936 iterations) Info:Linear Algebra: Lingen CPU time 147.38, WCT time 118.35 Info:Linear Algebra: Mksol: CPU time 312.0, WCT time 237.05, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (3968 iterations) Info:Generate Free Relations: Total cpu/real time for freerel: 36.41/23.9902 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.2/40.3422 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 40.2s Info:Filtering - Merging: Merged matrix has 252100 rows and total weight 43048830 (170.8 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 54.57/41.548 Info:Filtering - Merging: Total cpu/real time for replay: 8.86/9.76337 Info:Generate Factor Base: Total cpu/real time for makefb: 0.99/1.26694 Info:Quadratic Characters: Total cpu/real time for characters: 8.24/6.64952 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 25248.4/14301.8 Info:root: Cleaning up computation data in /tmp/cado.4lx0qt32 5415579026812493597522213262499567115785176244188937213019 908018909140448175663790811199288424572312286471316539 |
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 21:36:37 UTC 2022 年 5 月 30 日 (月) 6 時 36 分 37 秒 (日本時間) |
composite number 合成数 | 417610226333470191439911799736584309881371849743616620539754611452119336210413323645553049<90> |
prime factors 素因数 | 8653911577997699445226841619427710415283<40> 48256816882117351452597356863135881309706725718403<50> |
factorization results 素因数分解の結果 | Sun May 29 23:00:07 2022 Msieve v. 1.53 (SVN 1005) Sun May 29 23:00:07 2022 random seeds: 5a3cd498 c18b3cbc Sun May 29 23:00:07 2022 factoring 417610226333470191439911799736584309881371849743616620539754611452119336210413323645553049 (90 digits) Sun May 29 23:00:07 2022 searching for 15-digit factors Sun May 29 23:00:07 2022 commencing quadratic sieve (90-digit input) Sun May 29 23:00:07 2022 using multiplier of 1 Sun May 29 23:00:07 2022 using generic 32kb sieve core Sun May 29 23:00:07 2022 sieve interval: 36 blocks of size 32768 Sun May 29 23:00:07 2022 processing polynomials in batches of 6 Sun May 29 23:00:07 2022 using a sieve bound of 1580023 (60000 primes) Sun May 29 23:00:07 2022 using large prime bound of 126401840 (26 bits) Sun May 29 23:00:07 2022 using double large prime bound of 382962309086640 (42-49 bits) Sun May 29 23:00:07 2022 using trial factoring cutoff of 49 bits Sun May 29 23:00:07 2022 polynomial 'A' values have 11 factors Sun May 29 23:00:07 2022 restarting with 719 full and 30006 partial relations Sun May 29 23:24:24 2022 60328 relations (15599 full + 44729 combined from 641587 partial), need 60096 Sun May 29 23:24:24 2022 begin with 657186 relations Sun May 29 23:24:24 2022 reduce to 148595 relations in 12 passes Sun May 29 23:24:24 2022 attempting to read 148595 relations Sun May 29 23:24:24 2022 recovered 148595 relations Sun May 29 23:24:24 2022 recovered 129093 polynomials Sun May 29 23:24:24 2022 attempting to build 60328 cycles Sun May 29 23:24:24 2022 found 60328 cycles in 6 passes Sun May 29 23:24:24 2022 distribution of cycle lengths: Sun May 29 23:24:24 2022 length 1 : 15599 Sun May 29 23:24:24 2022 length 2 : 11262 Sun May 29 23:24:24 2022 length 3 : 10520 Sun May 29 23:24:24 2022 length 4 : 8171 Sun May 29 23:24:24 2022 length 5 : 6026 Sun May 29 23:24:24 2022 length 6 : 3741 Sun May 29 23:24:24 2022 length 7 : 2254 Sun May 29 23:24:24 2022 length 9+: 2755 Sun May 29 23:24:24 2022 largest cycle: 21 relations Sun May 29 23:24:24 2022 matrix is 60000 x 60328 (16.0 MB) with weight 3706046 (61.43/col) Sun May 29 23:24:24 2022 sparse part has weight 3706046 (61.43/col) Sun May 29 23:24:25 2022 filtering completed in 3 passes Sun May 29 23:24:25 2022 matrix is 56415 x 56479 (15.0 MB) with weight 3487319 (61.75/col) Sun May 29 23:24:25 2022 sparse part has weight 3487319 (61.75/col) Sun May 29 23:24:25 2022 saving the first 48 matrix rows for later Sun May 29 23:24:25 2022 matrix includes 64 packed rows Sun May 29 23:24:25 2022 matrix is 56367 x 56479 (11.7 MB) with weight 2968583 (52.56/col) Sun May 29 23:24:25 2022 sparse part has weight 2508291 (44.41/col) Sun May 29 23:24:25 2022 using block size 8192 and superblock size 1179648 for processor cache size 12288 kB Sun May 29 23:24:25 2022 commencing Lanczos iteration Sun May 29 23:24:25 2022 memory use: 7.0 MB Sun May 29 23:24:29 2022 lanczos halted after 893 iterations (dim = 56365) Sun May 29 23:24:29 2022 recovered 16 nontrivial dependencies Sun May 29 23:24:30 2022 p40 factor: 8653911577997699445226841619427710415283 Sun May 29 23:24:30 2022 p50 factor: 48256816882117351452597356863135881309706725718403 Sun May 29 23:24:30 2022 elapsed time 00:24:23 |
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 | June 3, 2022 16:16:55 UTC 2022 年 6 月 4 日 (土) 1 時 16 分 55 秒 (日本時間) |
composite number 合成数 | 600072042060930523487356627985662256455046965766457323554600777250007161138068401043528647686321093717010013965997<114> |
prime factors 素因数 | 10337165281951492362709673394922836535458121<44> 58049961057374761045544182795051725171813719614661166962264702746521157<71> |
factorization results 素因数分解の結果 | 600072042060930523487356627985662256455046965766457323554600777250007161138068401043528647686321093717010013965997=10337165281951492362709673394922836535458121*58049961057374761045544182795051725171813719614661166962264702746521157 cado polynomial n: 600072042060930523487356627985662256455046965766457323554600777250007161138068401043528647686321093717010013965997 skew: 0.50 type: snfs c0: -7 c4: 115 Y0: 10000000000000000000000000000000000000 Y1: -1 # f(x) = 115*x^4-7 # g(x) = -x+10000000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 2200000 tasks.lim1 = 2200000 tasks.lpb0 = 27 tasks.lpb1 = 27 tasks.sieve.mfb0 = 49 tasks.sieve.mfb1 = 49 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: 58049961057374761045544182795051725171813719614661166962264702746521157 10337165281951492362709673394922836535458121 Info:Square Root: Total cpu/real time for sqrt: 40.37/19.2797 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 102.41/112.504 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 100.4s Info:Square Root: Total cpu/real time for sqrt: 40.37/19.2797 Info:Filtering - Singleton removal: Total cpu/real time for purge: 98.35/106.469 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 11646759 Info:Lattice Sieving: Average J: 1896.59 for 316833 special-q, max bucket fill -bkmult 1.0,1s:1.314690 Info:Lattice Sieving: Total time: 63730.7s Info:Linear Algebra: Total cpu/real time for bwc: 1079.51/639.08 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 643.3, WCT time 380.42, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (8192 iterations) Info:Linear Algebra: Lingen CPU time 58.04, WCT time 26.65 Info:Linear Algebra: Mksol: CPU time 350.68, WCT time 213.49, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (4096 iterations) Info:Generate Free Relations: Total cpu/real time for freerel: 72.01/49.6865 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.64/59.4913 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 59.3s Info:Filtering - Merging: Merged matrix has 261066 rows and total weight 44580662 (170.8 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 59.25/27.1296 Info:Filtering - Merging: Total cpu/real time for replay: 10.9/10.7839 Info:Generate Factor Base: Total cpu/real time for makefb: 1.13/1.49726 Info:Quadratic Characters: Total cpu/real time for characters: 8.44/4.89057 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 59244.2/33078.4 Info:root: Cleaning up computation data in /tmp/cado.mvnad0ra 58049961057374761045544182795051725171813719614661166962264702746521157 10337165281951492362709673394922836535458121 |
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 12:12:15 UTC 2022 年 5 月 31 日 (火) 21 時 12 分 15 秒 (日本時間) |
composite number 合成数 | 5765947723129098600074521291411667122837389610949830716886737626287947444842691268808721507361770841530065168341442922282042738053361587339963<142> |
prime factors 素因数 | 8771418179514809451211578787038818238239583907933730978910379397417567<70> 657356382414324898144087672281418657846005046086690391555718356701879589<72> |
factorization results 素因数分解の結果 | Number: n N=5765947723129098600074521291411667122837389610949830716886737626287947444842691268808721507361770841530065168341442922282042738053361587339963 ( 142 digits) SNFS difficulty: 153 digits. Divisors found: Tue May 31 21:30:05 2022 p70 factor: 8771418179514809451211578787038818238239583907933730978910379397417567 Tue May 31 21:30:05 2022 p72 factor: 657356382414324898144087672281418657846005046086690391555718356701879589 Tue May 31 21:30:05 2022 elapsed time 00:05:40 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.323). Factorization parameters were as follows: # # N = 23x10^152-14 = 25(151)4 # n: 5765947723129098600074521291411667122837389610949830716886737626287947444842691268808721507361770841530065168341442922282042738053361587339963 m: 100000000000000000000000000000000000000 deg: 4 c4: 23 c0: -14 skew: 0.88 # Murphy_E = 9.551e-10 type: snfs lss: 1 rlim: 2500000 alim: 2500000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4 Factor base limits: 2500000/2500000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved special-q in [100000, 6850000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1478010 hash collisions in 13714812 relations (13594000 unique) Msieve: matrix is 374878 x 375108 (124.3 MB) Sieving start time : 2022/05/31 20:50:14 Sieving end time : 2022/05/31 21:24:10 Total sieving time: 0hrs 33min 56secs. Total relation processing time: 0hrs 2min 19sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 24sec. Prototype def-par.txt line would be: snfs,153,4,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000 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 30, 2022 18:53:31 UTC 2022 年 5 月 31 日 (火) 3 時 53 分 31 秒 (日本時間) |
composite number 合成数 | 9829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829<154> |
prime factors 素因数 | 16909673309716049567116258087269884003<38> 581268463856850259383448736209181118039248415828457969955004734867962314730833957273828002559988473734402653622815943<117> |
factorization results 素因数分解の結果 | Number: n N=9829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829 ( 154 digits) SNFS difficulty: 156 digits. Divisors found: Tue May 31 04:50:05 2022 p38 factor: 16909673309716049567116258087269884003 Tue May 31 04:50:05 2022 p117 factor: 581268463856850259383448736209181118039248415828457969955004734867962314730833957273828002559988473734402653622815943 Tue May 31 04:50:05 2022 elapsed time 00:05:25 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.341). Factorization parameters were as follows: # # N = 23x10^155-14 = 25(154)4 # n: 9829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829 m: 10000000000000000000000000000000 deg: 5 c5: 23 c0: -14 skew: 0.91 # Murphy_E = 9.404e-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 1144268 hash collisions in 14666770 relations (14180098 unique) Msieve: matrix is 333106 x 333333 (111.7 MB) Sieving start time : 2022/05/31 04:14:48 Sieving end time : 2022/05/31 04:44:13 Total sieving time: 0hrs 29min 25secs. Total relation processing time: 0hrs 1min 54sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 14sec. 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 | Eric Jeancolas |
---|---|
date 日付 | June 4, 2022 16:41:31 UTC 2022 年 6 月 5 日 (日) 1 時 41 分 31 秒 (日本時間) |
composite number 合成数 | 184332850334790381671430761214628938916916609016971089675431938401443503942124422272740912713710213453857127688526826196209<123> |
prime factors 素因数 | 3417130043279912136664120223215655069608545009556138274200823<61> 53943762163016652844627969677923030152272691031025020948247383<62> |
factorization results 素因数分解の結果 | 184332850334790381671430761214628938916916609016971089675431938401443503942124422272740912713710213453857127688526826196209=3417130043279912136664120223215655069608545009556138274200823*53943762163016652844627969677923030152272691031025020948247383 cado polynomial n: 184332850334790381671430761214628938916916609016971089675431938401443503942124422272740912713710213453857127688526826196209 skew: 0.36 type: snfs c0: -7 c5: 1150 Y0: 10000000000000000000000000000000 Y1: -1 # f(x) = 1150*x^5-7 # 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: 3417130043279912136664120223215655069608545009556138274200823 53943762163016652844627969677923030152272691031025020948247383 Info:Square Root: Total cpu/real time for sqrt: 130.74/60.2348 Info:Filtering - Singleton removal: Total cpu/real time for purge: 81.09/119.466 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 11645207 Info:Lattice Sieving: Average J: 1894.37 for 314024 special-q, max bucket fill -bkmult 1.0,1s:1.229440 Info:Lattice Sieving: Total time: 74730.6s Info:Linear Algebra: Total cpu/real time for bwc: 2075.15/1195.33 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 1275.62, WCT time 756.48, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (11648 iterations) Info:Linear Algebra: Lingen CPU time 70.1, WCT time 29.67 Info:Linear Algebra: Mksol: CPU time 693.8, WCT time 375.02, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (5888 iterations) Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.33/80.7536 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 80.5s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 104.15/154.596 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 144.4s Info:Generate Free Relations: Total cpu/real time for freerel: 61.03/28.7162 Info:Filtering - Merging: Merged matrix has 371036 rows and total weight 63345020 (170.7 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 81.83/70.2987 Info:Filtering - Merging: Total cpu/real time for replay: 12.9/14.7843 Info:Generate Factor Base: Total cpu/real time for makefb: 1.33/1.35691 Info:Quadratic Characters: Total cpu/real time for characters: 11.88/6.71494 Info:Square Root: Total cpu/real time for sqrt: 130.74/60.2348 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 67847.6/39361.3 Info:root: Cleaning up computation data in /tmp/cado.bvusy6lt 3417130043279912136664120223215655069608545009556138274200823 53943762163016652844627969677923030152272691031025020948247383 |
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 20:28:38 UTC 2022 年 6 月 1 日 (水) 5 時 28 分 38 秒 (日本時間) |
composite number 合成数 | 975183487614318796106284691018921075039525880604327044807748781399753662732088846073890337859338061134645795087871828190044368955134514250636860557499<150> |
prime factors 素因数 | 176993626848850139879700921693499525799<39> 13578319165468320249075859937915435097713059<44> 405772581104950956571992257386834775547049766357510023113168262361039<69> |
factorization results 素因数分解の結果 | Number: n N=975183487614318796106284691018921075039525880604327044807748781399753662732088846073890337859338061134645795087871828190044368955134514250636860557499 ( 150 digits) SNFS difficulty: 160 digits. Divisors found: Wed Jun 1 06:18:41 2022 found factor: 13578319165468320249075859937915435097713059 Wed Jun 1 06:19:09 2022 found factor: 13578319165468320249075859937915435097713059 Wed Jun 1 06:19:38 2022 found factor: 13578319165468320249075859937915435097713059 Wed Jun 1 06:20:34 2022 p39 factor: 176993626848850139879700921693499525799 Wed Jun 1 06:20:34 2022 p44 factor: 13578319165468320249075859937915435097713059 Wed Jun 1 06:20:34 2022 p69 factor: 405772581104950956571992257386834775547049766357510023113168262361039 Wed Jun 1 06:20:34 2022 elapsed time 00:08:54 (Msieve 1.54 - dependency 5) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.340). Factorization parameters were as follows: # # N = 23x10^159-14 = 25(158)4 # n: 975183487614318796106284691018921075039525880604327044807748781399753662732088846073890337859338061134645795087871828190044368955134514250636860557499 m: 50000000000000000000000000000000 deg: 5 c5: 184 c0: -35 skew: 0.72 # Murphy_E = 4.677e-10 type: snfs lss: 1 rlim: 3300000 alim: 3300000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4 Factor base limits: 3300000/3300000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved special-q in [100000, 7250000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1203578 hash collisions in 12371921 relations (11931804 unique) Msieve: matrix is 484289 x 484514 (165.6 MB) Sieving start time : 2022/06/01 05:46:30 Sieving end time : 2022/06/01 06:11:25 Total sieving time: 0hrs 24min 55secs. Total relation processing time: 0hrs 3min 44sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 2min 22sec. Prototype def-par.txt line would be: snfs,160,5,0,0,0,0,0,0,0,0,3300000,3300000,27,27,51,51,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved) [ 0.154085] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292) [ 0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS) |
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 03:58:08 UTC 2022 年 6 月 6 日 (月) 12 時 58 分 8 秒 (日本時間) |
composite number 合成数 | 616332133430903237604195783553946246363628583725256111103495421981652358100794716332659651087941791446532596924998429<117> |
prime factors 素因数 | 69577115945006674024125033201348709608090577771291687<53> 8858259286257975655561839606763709768489717500075552734249514267<64> |
factorization results 素因数分解の結果 | 616332133430903237604195783553946246363628583725256111103495421981652358100794716332659651087941791446532596924998429=69577115945006674024125033201348709608090577771291687*8858259286257975655561839606763709768489717500075552734249514267 cado polynomial n: 616332133430903237604195783553946246363628583725256111103495421981652358100794716332659651087941791446532596924998429 skew: 0.91 type: snfs c0: -14 c5: 23 Y0: 100000000000000000000000000000000 Y1: -1 # f(x) = 23*x^5-14 # 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: 8858259286257975655561839606763709768489717500075552734249514267 69577115945006674024125033201348709608090577771291687 Info:Square Root: Total cpu/real time for sqrt: 127.09/102.935 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 108.83/160.783 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 150.5s Info:Square Root: Total cpu/real time for sqrt: 127.09/102.935 Info:Filtering - Singleton removal: Total cpu/real time for purge: 79.24/116.489 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 11660387 Info:Lattice Sieving: Average J: 1894.1 for 216444 special-q, max bucket fill -bkmult 1.0,1s:1.226690 Info:Lattice Sieving: Total time: 55593.6s Info:Linear Algebra: Total cpu/real time for bwc: 2539.37/2404.77 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 1356.7, WCT time 1281.33, iteration CPU time 0.08, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (12032 iterations) Info:Linear Algebra: Lingen CPU time 403.17, WCT time 371.89 Info:Linear Algebra: Mksol: CPU time 741.57, WCT time 716.39, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (6016 iterations) Info:Generate Free Relations: Total cpu/real time for freerel: 60.07/41.6743 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.36/78.1676 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 78.0s Info:Filtering - Merging: Merged matrix has 383750 rows and total weight 65476816 (170.6 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 86.32/69.5448 Info:Filtering - Merging: Total cpu/real time for replay: 14.28/15.6399 Info:Generate Factor Base: Total cpu/real time for makefb: 1.48/1.95118 Info:Quadratic Characters: Total cpu/real time for characters: 12.82/11.1604 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 53017.2/31150.2 Info:root: Cleaning up computation data in /tmp/cado.t2x40mr7 8858259286257975655561839606763709768489717500075552734249514267 69577115945006674024125033201348709608090577771291687 |
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 1, 2022 11:07:01 UTC 2022 年 6 月 1 日 (水) 20 時 7 分 1 秒 (日本時間) |
composite number 合成数 | 14977949208900222514320648253046623416203631608842776396322077722907987103684216028552242823321793898690319454862816818869144949972866201834158343<146> |
prime factors 素因数 | 1314069184353726727784570530252201896152108153273<49> 11398143558374773128077523488747601679168305969680803872567991480202952397682675387553319534438591<98> |
factorization results 素因数分解の結果 | Number: n N=14977949208900222514320648253046623416203631608842776396322077722907987103684216028552242823321793898690319454862816818869144949972866201834158343 ( 146 digits) SNFS difficulty: 162 digits. Divisors found: Wed Jun 1 20:52:21 2022 p49 factor: 1314069184353726727784570530252201896152108153273 Wed Jun 1 20:52:21 2022 p98 factor: 11398143558374773128077523488747601679168305969680803872567991480202952397682675387553319534438591 Wed Jun 1 20:52:21 2022 elapsed time 00:08:02 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.348). Factorization parameters were as follows: # # N = 23x10^161-14 = 25(160)4 # n: 14977949208900222514320648253046623416203631608842776396322077722907987103684216028552242823321793898690319454862816818869144949972866201834158343 m: 100000000000000000000000000000000 deg: 5 c5: 115 c0: -7 skew: 0.57 # Murphy_E = 4.714e-10 type: snfs lss: 1 rlim: 3500000 alim: 3500000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4 Factor base limits: 3500000/3500000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved special-q in [100000, 7350000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1082651 hash collisions in 12349244 relations (12056514 unique) Msieve: matrix is 508953 x 509178 (174.9 MB) Sieving start time : 2022/06/01 20:00:47 Sieving end time : 2022/06/01 20:44:06 Total sieving time: 0hrs 43min 19secs. Total relation processing time: 0hrs 4min 9sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 0sec. Prototype def-par.txt line would be: snfs,162,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000 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 3, 2022 12:32:46 UTC 2022 年 6 月 3 日 (金) 21 時 32 分 46 秒 (日本時間) |
composite number 合成数 | 41352031643293779216109313196691837468536497662711254944264653002517080186983099604458827759798633585041352031643293779216109313196691837468536497662711254944264653<164> |
prime factors 素因数 | 85073405549105548675115497920133622190880967453378366505241179101224277<71> 486074718372768249806483701799423109175231421544742109476249628807886121348360854164427752089<93> |
factorization results 素因数分解の結果 | Number: n N=41352031643293779216109313196691837468536497662711254944264653002517080186983099604458827759798633585041352031643293779216109313196691837468536497662711254944264653 ( 164 digits) SNFS difficulty: 167 digits. Divisors found: Fri Jun 3 22:27:59 2022 p71 factor: 85073405549105548675115497920133622190880967453378366505241179101224277 Fri Jun 3 22:27:59 2022 p93 factor: 486074718372768249806483701799423109175231421544742109476249628807886121348360854164427752089 Fri Jun 3 22:27:59 2022 elapsed time 00:09:43 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.320). Factorization parameters were as follows: # # N = 23x10^166-14 = 25(165)4 # n: 41352031643293779216109313196691837468536497662711254944264653002517080186983099604458827759798633585041352031643293779216109313196691837468536497662711254944264653 m: 1000000000000000000000000000000000 deg: 5 c5: 115 c0: -7 skew: 0.57 # Murphy_E = 3.004e-10 type: snfs lss: 1 rlim: 4300000 alim: 4300000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4 Factor base limits: 4300000/4300000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved special-q in [100000, 7750000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1266160 hash collisions in 11918476 relations (11357763 unique) Msieve: matrix is 605460 x 605685 (208.0 MB) Sieving start time : 2022/06/03 21:35:06 Sieving end time : 2022/06/03 22:17:50 Total sieving time: 0hrs 42min 44secs. Total relation processing time: 0hrs 5min 39sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 13sec. Prototype def-par.txt line would be: snfs,167,5,0,0,0,0,0,0,0,0,4300000,4300000,27,27,51,51,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved) [ 0.154118] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204) [ 0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS) |
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 08:15:06 UTC 2022 年 6 月 4 日 (土) 17 時 15 分 6 秒 (日本時間) |
composite number 合成数 | 23110723011734761005281081556113709660710269687869187520024687879135179060173711046147873539168686393135785686508347763970226073714645391779105860595998215530643<161> |
prime factors 素因数 | 86917308812456823267944744679421097347<38> 265893218824816814510430169466181915009249597571200613725713755431345923194041885372010003683577290695968179761706187957169<123> |
factorization results 素因数分解の結果 | Number: n N=23110723011734761005281081556113709660710269687869187520024687879135179060173711046147873539168686393135785686508347763970226073714645391779105860595998215530643 ( 161 digits) SNFS difficulty: 168 digits. Divisors found: Sat Jun 4 18:02:13 2022 p38 factor: 86917308812456823267944744679421097347 Sat Jun 4 18:02:13 2022 p123 factor: 265893218824816814510430169466181915009249597571200613725713755431345923194041885372010003683577290695968179761706187957169 Sat Jun 4 18:02:13 2022 elapsed time 00:12:31 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.350). Factorization parameters were as follows: # # N = 23x10^167-14 = 25(166)4 # n: 23110723011734761005281081556113709660710269687869187520024687879135179060173711046147873539168686393135785686508347763970226073714645391779105860595998215530643 m: 1000000000000000000000000000000000 deg: 5 c5: 1150 c0: -7 skew: 0.36 # Murphy_E = 2.253e-10 type: snfs lss: 1 rlim: 4400000 alim: 4400000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 4400000/4400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved special-q in [100000, 7800000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1315189 hash collisions in 12132459 relations (11532163 unique) Msieve: matrix is 719712 x 719937 (249.0 MB) Sieving start time : 2022/06/04 17:05:29 Sieving end time : 2022/06/04 17:49:26 Total sieving time: 0hrs 43min 57secs. Total relation processing time: 0hrs 7min 46sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 47sec. Prototype def-par.txt line would be: snfs,168,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,52,52,2.4,2.4,100000 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 5, 2022 20:36:25 UTC 2022 年 6 月 6 日 (月) 5 時 36 分 25 秒 (日本時間) |
composite number 合成数 | 121813349613246617319273359056556857499782737262607752685718809241392099094746705191863002708178921572448211331180524041954381445989167903748622306081<150> |
prime factors 素因数 | 82609404223432244059836936210448065341377799<44> 1474570005174957224479035128369892594430105286132524293539343583081249313978027829911653350070338807252119<106> |
factorization results 素因数分解の結果 | Number: n N=121813349613246617319273359056556857499782737262607752685718809241392099094746705191863002708178921572448211331180524041954381445989167903748622306081 ( 150 digits) SNFS difficulty: 169 digits. Divisors found: Mon Jun 6 06:32:06 2022 p44 factor: 82609404223432244059836936210448065341377799 Mon Jun 6 06:32:06 2022 p106 factor: 1474570005174957224479035128369892594430105286132524293539343583081249313978027829911653350070338807252119 Mon Jun 6 06:32:06 2022 elapsed time 00:10:36 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.340). Factorization parameters were as follows: # # N = 23x10^168-14 = 25(167)4 # n: 121813349613246617319273359056556857499782737262607752685718809241392099094746705191863002708178921572448211331180524041954381445989167903748622306081 m: 1000000000000000000000000000000000 deg: 5 c5: 11500 c0: -7 skew: 0.23 # Murphy_E = 2.395e-10 type: snfs lss: 1 rlim: 4600000 alim: 4600000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 4600000/4600000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved special-q in [100000, 7900000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1305460 hash collisions in 12513189 relations (11958917 unique) Msieve: matrix is 672530 x 672755 (234.9 MB) Sieving start time : 2022/06/06 05:26:08 Sieving end time : 2022/06/06 06:21:15 Total sieving time: 0hrs 55min 7secs. Total relation processing time: 0hrs 6min 37sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 54sec. Prototype def-par.txt line would be: snfs,169,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000 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 3, 2022 01:29:07 UTC 2022 年 6 月 3 日 (金) 10 時 29 分 7 秒 (日本時間) |
composite number 合成数 | 473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251<168> |
prime factors 素因数 | 24249911645776261084968991896492046117781911<44> 601750117578817867894791684209496722613116903314882609<54> 32431364576286444530936151737616407664233097132626905962525057757350949<71> |
factorization results 素因数分解の結果 | Number: n N=473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251 ( 168 digits) SNFS difficulty: 170 digits. Divisors found: Fri Jun 3 11:16:16 2022 found factor: 601750117578817867894791684209496722613116903314882609 Fri Jun 3 11:17:11 2022 found factor: 601750117578817867894791684209496722613116903314882609 Fri Jun 3 11:18:58 2022 p44 factor: 24249911645776261084968991896492046117781911 Fri Jun 3 11:18:58 2022 p54 factor: 601750117578817867894791684209496722613116903314882609 Fri Jun 3 11:18:58 2022 p71 factor: 32431364576286444530936151737616407664233097132626905962525057757350949 Fri Jun 3 11:18:58 2022 elapsed time 00:15:39 (Msieve 1.54 - dependency 4) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.329). Factorization parameters were as follows: # # N = 23x10^169-14 = 25(168)4 # n: 473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251 m: 5000000000000000000000000000000000 deg: 5 c5: 184 c0: -35 skew: 0.72 # Murphy_E = 1.896e-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, 15250000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1409668 hash collisions in 12519208 relations (11837817 unique) Msieve: matrix is 783273 x 783499 (271.6 MB) Sieving start time : 2022/06/03 09:26:54 Sieving end time : 2022/06/03 11:02:27 Total sieving time: 1hrs 35min 33secs. Total relation processing time: 0hrs 8min 55sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 3min 37sec. 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) |
name 名前 | Eric Jeancolas |
---|---|
date 日付 | June 3, 2022 16:50:12 UTC 2022 年 6 月 4 日 (土) 1 時 50 分 12 秒 (日本時間) |
composite number 合成数 | 8783993235972465546631265923903186857190659639222686335190038330336519179695696492133990407226845320453344411390550664567<121> |
prime factors 素因数 | 1022795174149904316745815799543756761976232157049310728566889<61> 8588223192657588563157769984786263535422685932350198124475103<61> |
factorization results 素因数分解の結果 | 8783993235972465546631265923903186857190659639222686335190038330336519179695696492133990407226845320453344411390550664567=8588223192657588563157769984786263535422685932350198124475103*1022795174149904316745815799543756761976232157049310728566889 cado polynomial n: 8783993235972465546631265923903186857190659639222686335190038330336519179695696492133990407226845320453344411390550664567 skew: 7208.231 c0: 151480021614478179421546440 c1: 75592757103430841272506 c2: -5824870635898497107 c3: -5343320562822371 c4: 68141381772 c5: 211680 Y0: 74296552582737189399263 Y1: 3731780382748018261 # MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.376e-06 # f(x) = 211680*x^5+68141381772*x^4-5343320562822371*x^3-5824870635898497107*x^2+75592757103430841272506*x+151480021614478179421546440 # g(x) = 3731780382748018261*x+74296552582737189399263 cado parameters (extracts) tasks.lim0 = 3000000 tasks.lim1 = 5500000 tasks.lpb0 = 27 tasks.lpb1 = 27 tasks.sieve.mfb0 = 54 tasks.sieve.mfb1 = 54 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 8588223192657588563157769984786263535422685932350198124475103 1022795174149904316745815799543756761976232157049310728566889 Info:Square Root: Total cpu/real time for sqrt: 262.06/78.3134 Info:Filtering - Singleton removal: Total cpu/real time for purge: 85.26/138.716 Info:Linear Algebra: Total cpu/real time for bwc: 6140.58/2507.33 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 3725.65, WCT time 1837.87, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (25088 iterations) Info:Linear Algebra: Lingen CPU time 144.74, WCT time 36.81 Info:Linear Algebra: Mksol: CPU time 2192.95, WCT time 566.94, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12544 iterations) Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 13755553 Info:Lattice Sieving: Average J: 1897.96 for 302271 special-q, max bucket fill -bkmult 1.0,1s:1.259860 Info:Lattice Sieving: Total time: 68111.2s Info:Generate Factor Base: Total cpu/real time for makefb: 5.15/1.37813 Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 1717.14 Info:Polynomial Selection (root optimized): Rootsieve time: 1714.68 Info:Generate Free Relations: Total cpu/real time for freerel: 126.45/33.1485 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 58.42/102.366 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 101.80000000000001s Info:Filtering - Merging: Merged matrix has 796467 rows and total weight 80650879 (101.3 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 62.97/49.7367 Info:Filtering - Merging: Total cpu/real time for replay: 22.62/25.3399 Info:Quadratic Characters: Total cpu/real time for characters: 25.86/9.91015 Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 19893.3 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20095/35.660/43.266/48.300/1.042 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16203/34.450/38.321/43.730/0.872 Info:Polynomial Selection (size optimized): Total time: 2247.58 Info:Square Root: Total cpu/real time for sqrt: 262.06/78.3134 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 182.54/292.877 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 263.90000000000003s Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 78489.7/38276 Info:root: Cleaning up computation data in /tmp/cado.fbmcu59w 8588223192657588563157769984786263535422685932350198124475103 1022795174149904316745815799543756761976232157049310728566889 |
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 17:59:40 UTC 2022 年 6 月 6 日 (月) 2 時 59 分 40 秒 (日本時間) |
composite number 合成数 | 622274937982948509700114136980782673296701127550549654999664686264319164394174337271805095442486253803087028979030478257184523472509113590685099178450677<153> |
prime factors 素因数 | 3879872575163600310132960327693368187677<40> 33601529957134497564363468309732329886467<41> 4773157833876102419406758963189467780466570644623104307047366558849958803<73> |
factorization results 素因数分解の結果 | Number: n N=622274937982948509700114136980782673296701127550549654999664686264319164394174337271805095442486253803087028979030478257184523472509113590685099178450677 ( 153 digits) SNFS difficulty: 172 digits. Divisors found: Mon Jun 6 03:52:37 2022 found factor: 33601529957134497564363468309732329886467 Mon Jun 6 03:54:29 2022 p40 factor: 3879872575163600310132960327693368187677 Mon Jun 6 03:54:29 2022 p41 factor: 33601529957134497564363468309732329886467 Mon Jun 6 03:54:29 2022 p73 factor: 4773157833876102419406758963189467780466570644623104307047366558849958803 Mon Jun 6 03:54:29 2022 elapsed time 00:16:10 (Msieve 1.54 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.341). Factorization parameters were as follows: # # N = 23x10^171-14 = 25(170)4 # n: 622274937982948509700114136980782673296701127550549654999664686264319164394174337271805095442486253803087028979030478257184523472509113590685099178450677 m: 10000000000000000000000000000000000 deg: 5 c5: 115 c0: -7 skew: 0.57 # Murphy_E = 1.905e-10 type: snfs lss: 1 rlim: 5200000 alim: 5200000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 5200000/5200000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved special-q in [100000, 15400000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1294952 hash collisions in 12046500 relations (11463503 unique) Msieve: matrix is 824581 x 824807 (286.5 MB) Sieving start time : 2022/06/06 02:25:58 Sieving end time : 2022/06/06 03:38:02 Total sieving time: 1hrs 12min 4secs. Total relation processing time: 0hrs 10min 19sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 2min 49sec. Prototype def-par.txt line would be: snfs,172,5,0,0,0,0,0,0,0,0,5200000,5200000,27,27,52,52,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved) [ 0.154118] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204) [ 0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS) |
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 09:16:09 UTC 2022 年 6 月 5 日 (日) 18 時 16 分 9 秒 (日本時間) |
composite number 合成数 | 2566796452523439482690370214626240290961895258653143983743233524712972603397810495400652745620177878934055679477904789132523768938313553929967687833541272989<157> |
prime factors 素因数 | 40997898565469070353720548724276814470383<41> 2086819741573021283450898431701798066715616983748707<52> 30001633212256217857185162124431941065400707411714572473651805169<65> |
factorization results 素因数分解の結果 | Number: n N=2566796452523439482690370214626240290961895258653143983743233524712972603397810495400652745620177878934055679477904789132523768938313553929967687833541272989 ( 157 digits) SNFS difficulty: 174 digits. Divisors found: Sun Jun 5 19:09:48 2022 found factor: 40997898565469070353720548724276814470383 Sun Jun 5 19:12:02 2022 p41 factor: 40997898565469070353720548724276814470383 Sun Jun 5 19:12:02 2022 p52 factor: 2086819741573021283450898431701798066715616983748707 Sun Jun 5 19:12:02 2022 p65 factor: 30001633212256217857185162124431941065400707411714572473651805169 Sun Jun 5 19:12:02 2022 elapsed time 00:17:39 (Msieve 1.54 - dependency 4) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.317). Factorization parameters were as follows: # # N = 23x10^173-14 = 25(172)4 # n: 2566796452523439482690370214626240290961895258653143983743233524712972603397810495400652745620177878934055679477904789132523768938313553929967687833541272989 m: 10000000000000000000000000000000000 deg: 5 c5: 11500 c0: -7 skew: 0.23 # Murphy_E = 1.518e-10 type: snfs lss: 1 rlim: 5600000 alim: 5600000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 5600000/5600000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved special-q in [100000, 8400000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1463084 hash collisions in 12485444 relations (11732997 unique) Msieve: matrix is 809958 x 810183 (283.7 MB) Sieving start time : 2022/06/05 18:01:18 Sieving end time : 2022/06/05 18:54:07 Total sieving time: 0hrs 52min 49secs. Total relation processing time: 0hrs 9min 59sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 4min 29sec. Prototype def-par.txt line would be: snfs,174,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000 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 3, 2022 19:47:39 UTC 2022 年 6 月 4 日 (土) 4 時 47 分 39 秒 (日本時間) |
composite number 合成数 | 75163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281<173> |
prime factors 素因数 | 12679524641771456323919269632912632500435899696013795337<56> 5927935061949560552537129881302410031341706743561210036301408807787045325326614669632578682235821345717839135761762713<118> |
factorization results 素因数分解の結果 | Number: n N=75163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281 ( 173 digits) SNFS difficulty: 175 digits. Divisors found: Sat Jun 4 05:43:47 2022 p56 factor: 12679524641771456323919269632912632500435899696013795337 Sat Jun 4 05:43:47 2022 p118 factor: 5927935061949560552537129881302410031341706743561210036301408807787045325326614669632578682235821345717839135761762713 Sat Jun 4 05:43:47 2022 elapsed time 00:22:01 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.330). Factorization parameters were as follows: # # N = 23x10^174-14 = 25(173)4 # n: 75163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281 m: 50000000000000000000000000000000000 deg: 5 c5: 184 c0: -35 skew: 0.72 # Murphy_E = 1.199e-10 type: snfs lss: 1 rlim: 5900000 alim: 5900000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.5 alambda: 2.5 Factor base limits: 5900000/5900000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved special-q in [100000, 15750000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1474953 hash collisions in 11772086 relations (10939318 unique) Msieve: matrix is 1025243 x 1025471 (355.9 MB) Sieving start time : 2022/06/04 04:11:17 Sieving end time : 2022/06/04 05:21:30 Total sieving time: 1hrs 10min 13secs. Total relation processing time: 0hrs 17min 31sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 19sec. Prototype def-par.txt line would be: snfs,175,5,0,0,0,0,0,0,0,0,5900000,5900000,27,27,52,52,2.5,2.5,100000 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 4, 2022 21:08:09 UTC 2022 年 6 月 5 日 (日) 6 時 8 分 9 秒 (日本時間) |
composite number 合成数 | 109314550241917852491896464862501307021796370756931968327297269037366564956606876360490869858651533730667959430043440651704831703120692769080141823746922557770363399587456393<174> |
prime factors 素因数 | 4917742691468482873593580687415456803467494970001<49> 22228603060416633875117362898808438130202871614877945408520180236039063236045604486323441935345334526127611487760231444246393<125> |
factorization results 素因数分解の結果 | Number: n N=109314550241917852491896464862501307021796370756931968327297269037366564956606876360490869858651533730667959430043440651704831703120692769080141823746922557770363399587456393 ( 174 digits) SNFS difficulty: 178 digits. Divisors found: Sun Jun 5 07:04:07 2022 p49 factor: 4917742691468482873593580687415456803467494970001 Sun Jun 5 07:04:07 2022 p125 factor: 22228603060416633875117362898808438130202871614877945408520180236039063236045604486323441935345334526127611487760231444246393 Sun Jun 5 07:04:07 2022 elapsed time 00:26:31 (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 = 23x10^177-14 = 25(176)4 # n: 109314550241917852491896464862501307021796370756931968327297269037366564956606876360490869858651533730667959430043440651704831703120692769080141823746922557770363399587456393 m: 100000000000000000000000000000000000 deg: 5 c5: 1150 c0: -7 skew: 0.36 # Murphy_E = 9.01e-11 type: snfs lss: 1 rlim: 6500000 alim: 6500000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 6500000/6500000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved special-q in [100000, 23250000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 4337138 hash collisions in 28990160 relations (26042050 unique) Msieve: matrix is 1073385 x 1073613 (365.9 MB) Sieving start time : 2022/06/05 03:51:54 Sieving end time : 2022/06/05 06:36:41 Total sieving time: 2hrs 44min 47secs. Total relation processing time: 0hrs 18min 42sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 8sec. Prototype def-par.txt line would be: snfs,178,5,0,0,0,0,0,0,0,0,6500000,6500000,28,28,53,53,2.5,2.5,100000 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 17, 2022 20:19:34 UTC 2022 年 6 月 18 日 (土) 5 時 19 分 34 秒 (日本時間) |
composite number 合成数 | 15668776276402300197836897378640862114522245897593395989918264209361273511274965093835823008319872378182771716277359950251482754866842400218550563300404465593944427923<167> |
prime factors 素因数 | 2781922461521724855958526261913701733928503491883445087728303526122919987<73> 5632355499883848249339392163180611348219171885698607919944790638374658685907344797265834480929<94> |
factorization results 素因数分解の結果 | Number: n N=15668776276402300197836897378640862114522245897593395989918264209361273511274965093835823008319872378182771716277359950251482754866842400218550563300404465593944427923 ( 167 digits) SNFS difficulty: 179 digits. Divisors found: Sat Jun 18 06:14:42 2022 p73 factor: 2781922461521724855958526261913701733928503491883445087728303526122919987 Sat Jun 18 06:14:42 2022 p94 factor: 5632355499883848249339392163180611348219171885698607919944790638374658685907344797265834480929 Sat Jun 18 06:14:42 2022 elapsed time 00:23:35 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.328). Factorization parameters were as follows: # # N = 23x10^178-14 = 25(177)4 # n: 15668776276402300197836897378640862114522245897593395989918264209361273511274965093835823008319872378182771716277359950251482754866842400218550563300404465593944427923 m: 100000000000000000000000000000000000 deg: 5 c5: 11500 c0: -7 skew: 0.23 # Murphy_E = 9.571e-11 type: snfs lss: 1 rlim: 6800000 alim: 6800000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 6800000/6800000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved special-q in [100000, 16200000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 4054272 hash collisions in 29690224 relations (27187272 unique) Msieve: matrix is 990626 x 990852 (339.6 MB) Sieving start time : 2022/06/18 04:46:07 Sieving end time : 2022/06/18 05:50:36 Total sieving time: 1hrs 4min 29secs. Total relation processing time: 0hrs 15min 23sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 9sec. Prototype def-par.txt line would be: snfs,179,5,0,0,0,0,0,0,0,0,6800000,6800000,28,28,53,53,2.5,2.5,100000 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 12:54:16 UTC 2022 年 6 月 9 日 (木) 21 時 54 分 16 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | June 6, 2022 05:04:57 UTC 2022 年 6 月 6 日 (月) 14 時 4 分 57 秒 (日本時間) |
composite number 合成数 | 3222366816826438478487270377538128396169724436387518661461776493572133355089633257304810657130343871904676045698731954104854981206218034804178743992418953348526260483630689<172> |
prime factors 素因数 | 7353200157373741291307017056666551537<37> 70564510582503870118075209144821389609024999<44> 6210295352727221666218592719424726263446288623100908119985896636801946044171960815866928103<91> |
factorization results 素因数分解の結果 | Number: n N=3222366816826438478487270377538128396169724436387518661461776493572133355089633257304810657130343871904676045698731954104854981206218034804178743992418953348526260483630689 ( 172 digits) SNFS difficulty: 180 digits. Divisors found: Mon Jun 6 14:59:45 2022 found factor: 518874970320268490510890903196090295209599886414494574198202708057754386154873463 Mon Jun 6 15:00:45 2022 p37 factor: 7353200157373741291307017056666551537 Mon Jun 6 15:00:45 2022 p44 factor: 70564510582503870118075209144821389609024999 Mon Jun 6 15:00:45 2022 p91 factor: 6210295352727221666218592719424726263446288623100908119985896636801946044171960815866928103 Mon Jun 6 15:00:45 2022 elapsed time 00:23:21 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.325). Factorization parameters were as follows: # # N = 23x10^179-14 = 25(178)4 # n: 3222366816826438478487270377538128396169724436387518661461776493572133355089633257304810657130343871904676045698731954104854981206218034804178743992418953348526260483630689 m: 500000000000000000000000000000000000 deg: 5 c5: 184 c0: -35 skew: 0.72 # Murphy_E = 7.547e-11 type: snfs lss: 1 rlim: 7200000 alim: 7200000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 7200000/7200000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved special-q in [100000, 23600000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3044062 hash collisions in 28597873 relations (27286001 unique) Msieve: matrix is 963788 x 964015 (327.7 MB) Sieving start time : 2022/06/06 08:26:05 Sieving end time : 2022/06/06 14:36:18 Total sieving time: 6hrs 10min 13secs. Total relation processing time: 0hrs 14min 24sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 2min 0sec. Prototype def-par.txt line would be: snfs,180,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,53,53,2.5,2.5,100000 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 11, 2022 14:29:15 UTC 2022 年 6 月 11 日 (土) 23 時 29 分 15 秒 (日本時間) |
composite number 合成数 | 1653668116286517126177897014438823410821345317969462357984060652520183019359276941525001233061225839729074519605817288079195460264008833751279975071312640049512261373893354511789<178> |
prime factors 素因数 | 7032514017693177730742379981570458218071866405333<49> 913329154954390196294952811403752038819161718869938825129543<60> 257460391469149193554495938771311776101525695667463251659239300557631<69> |
factorization results 素因数分解の結果 | Number: n N=1653668116286517126177897014438823410821345317969462357984060652520183019359276941525001233061225839729074519605817288079195460264008833751279975071312640049512261373893354511789 ( 178 digits) SNFS difficulty: 184 digits. Divisors found: Sun Jun 12 00:23:14 2022 found factor: 913329154954390196294952811403752038819161718869938825129543 Sun Jun 12 00:24:34 2022 p49 factor: 7032514017693177730742379981570458218071866405333 Sun Jun 12 00:24:34 2022 p60 factor: 913329154954390196294952811403752038819161718869938825129543 Sun Jun 12 00:24:34 2022 p69 factor: 257460391469149193554495938771311776101525695667463251659239300557631 Sun Jun 12 00:24:34 2022 elapsed time 00:23:44 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.346). Factorization parameters were as follows: # # N = 23x10^183-14 = 25(182)4 # n: 1653668116286517126177897014438823410821345317969462357984060652520183019359276941525001233061225839729074519605817288079195460264008833751279975071312640049512261373893354511789 m: 1000000000000000000000000000000000000 deg: 5 c5: 11500 c0: -7 skew: 0.23 # Murphy_E = 6.009e-11 type: snfs lss: 1 rlim: 8200000 alim: 8200000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 Factor base limits: 8200000/8200000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 54/54 Sieved special-q in [100000, 9700000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3164648 hash collisions in 29352564 relations (27972074 unique) Msieve: matrix is 941939 x 942165 (327.4 MB) Sieving start time : 2022/06/11 21:04:03 Sieving end time : 2022/06/12 00:00:21 Total sieving time: 2hrs 56min 18secs. Total relation processing time: 0hrs 13min 45sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 2min 40sec. Prototype def-par.txt line would be: snfs,184,5,0,0,0,0,0,0,0,0,8200000,8200000,28,28,54,54,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.117895] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved) [ 0.154151] x86/mm: Memory block size: 128MB [ 0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798644) [ 0.152036] smpboot: Total of 16 processors activated (102389.15 BogoMIPS) |
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 19:31:45 UTC 2022 年 6 月 9 日 (木) 4 時 31 分 45 秒 (日本時間) |
name 名前 | Eric Jeancolas |
---|---|
date 日付 | July 24, 2022 22:17:39 UTC 2022 年 7 月 25 日 (月) 7 時 17 分 39 秒 (日本時間) |
composite number 合成数 | 4447437292720914202448439462781102553656621230943773617491153173610456008855509240345405756780221951276894436407460861679413696428045398394627649<145> |
prime factors 素因数 | 6720294774576617650408757916170976450375682890737<49> 661791996021648507622906011824465130481530458611419521629989044455913568388063075501588227325777<96> |
factorization results 素因数分解の結果 | 4447437292720914202448439462781102553656621230943773617491153173610456008855509240345405756780221951276894436407460861679413696428045398394627649=6720294774576617650408757916170976450375682890737*661791996021648507622906011824465130481530458611419521629989044455913568388063075501588227325777 cado polynomial n: 4447437292720914202448439462781102553656621230943773617491153173610456008855509240345405756780221951276894436407460861679413696428045398394627649 skew: 0.57 type: snfs c0: -7 c5: 115 Y0: 10000000000000000000000000000000000000 Y1: -1 # f(x) = 115*x^5-7 # g(x) = -x+10000000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 9200000 tasks.lim1 = 9200000 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: 661791996021648507622906011824465130481530458611419521629989044455913568388063075501588227325777 6720294774576617650408757916170976450375682890737 Info:Square Root: Total cpu/real time for sqrt: 860.63/263.669 Info:Square Root: Total cpu/real time for sqrt: 860.63/263.669 Info:Generate Free Relations: Total cpu/real time for freerel: 119.11/32.7903 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 100.17/118.359 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 117.50000000000001s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 396.3/393.631 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 315.7s Info:Linear Algebra: Total cpu/real time for bwc: 54421.4/13959.2 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 34867.24, WCT time 8900.37, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (56576 iterations) Info:Linear Algebra: Lingen CPU time 351.96, WCT time 89.41 Info:Linear Algebra: Mksol: CPU time 18865.11, WCT time 4837.21, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (28416 iterations) Info:Generate Factor Base: Total cpu/real time for makefb: 3.88/2.12646 Info:Filtering - Merging: Merged matrix has 1806633 rows and total weight 308781466 (170.9 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 477.8/132.849 Info:Filtering - Merging: Total cpu/real time for replay: 69.69/59.1777 Info:Filtering - Singleton removal: Total cpu/real time for purge: 282.96/313.007 Info:Quadratic Characters: Total cpu/real time for characters: 64.73/27.4109 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 24362148 Info:Lattice Sieving: Average J: 1894.52 for 1669879 special-q, max bucket fill -bkmult 1.0,1s:1.160420 Info:Lattice Sieving: Total time: 300094s Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 624724/100167 661791996021648507622906011824465130481530458611419521629989044455913568388063075501588227325777 6720294774576617650408757916170976450375682890737 |
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 10, 2022 09:18:44 UTC 2022 年 6 月 10 日 (金) 18 時 18 分 44 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | June 21, 2022 05:07:02 UTC 2022 年 6 月 21 日 (火) 14 時 7 分 2 秒 (日本時間) |
composite number 合成数 | 8225915048388925085869596007917334685439754402785954337550884800375201333000297160892917236531648353507078971790712001496413148084536691639450987866330004266987068688519639<172> |
prime factors 素因数 | 56529458538594055147492410685304705988699724375270231470669703<62> 145515546425637352643331191213154600112657548077742598113859028260197812367880674496089562540789434745057054513<111> |
factorization results 素因数分解の結果 | Number: n N=8225915048388925085869596007917334685439754402785954337550884800375201333000297160892917236531648353507078971790712001496413148084536691639450987866330004266987068688519639 ( 172 digits) SNFS difficulty: 189 digits. Divisors found: Tue Jun 21 15:00:05 2022 p62 factor: 56529458538594055147492410685304705988699724375270231470669703 Tue Jun 21 15:00:05 2022 p111 factor: 145515546425637352643331191213154600112657548077742598113859028260197812367880674496089562540789434745057054513 Tue Jun 21 15:00:05 2022 elapsed time 00:37:03 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.350). Factorization parameters were as follows: # # N = 23x10^188-14 = 25(187)4 # n: 8225915048388925085869596007917334685439754402785954337550884800375201333000297160892917236531648353507078971790712001496413148084536691639450987866330004266987068688519639 m: 10000000000000000000000000000000000000 deg: 5 c5: 11500 c0: -7 skew: 0.23 # Murphy_E = 3.757e-11 type: snfs lss: 1 rlim: 9900000 alim: 9900000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 Factor base limits: 9900000/9900000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 54/54 Sieved special-q in [100000, 32150000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3080877 hash collisions in 28876428 relations (27549906 unique) Msieve: matrix is 1237236 x 1237462 (431.1 MB) Sieving start time : 2022/06/21 03:41:49 Sieving end time : 2022/06/21 14:21:47 Total sieving time: 10hrs 39min 58secs. Total relation processing time: 0hrs 26min 25sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 3min 9sec. Prototype def-par.txt line would be: snfs,189,5,0,0,0,0,0,0,0,0,9900000,9900000,28,28,54,54,2.5,2.5,100000 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 19, 2022 16:01:51 UTC 2022 年 6 月 20 日 (月) 1 時 1 分 51 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | June 24, 2022 07:02:53 UTC 2022 年 6 月 24 日 (金) 16 時 2 分 53 秒 (日本時間) |
composite number 合成数 | 1293713406534102128321890569107107841269832162215735980910221045025729715402668346602667868394544821931246587899981528823210077776327452011334163377689691350376872581329<169> |
prime factors 素因数 | 39860755748375757976273376972489092888083609817123295762597<59> 32455817313168183739625469309874487247306210018087307386084789301179695407869103245729188851319125233291008957<110> |
factorization results 素因数分解の結果 | Number: n N=1293713406534102128321890569107107841269832162215735980910221045025729715402668346602667868394544821931246587899981528823210077776327452011334163377689691350376872581329 ( 169 digits) SNFS difficulty: 191 digits. Divisors found: Fri Jun 24 16:58:15 2022 p59 factor: 39860755748375757976273376972489092888083609817123295762597 Fri Jun 24 16:58:15 2022 p110 factor: 32455817313168183739625469309874487247306210018087307386084789301179695407869103245729188851319125233291008957 Fri Jun 24 16:58:15 2022 elapsed time 00:33:28 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.325). Factorization parameters were as follows: # # N = 23x10^190-14 = 25(189)4 # n: 1293713406534102128321890569107107841269832162215735980910221045025729715402668346602667868394544821931246587899981528823210077776327452011334163377689691350376872581329 m: 100000000000000000000000000000000000000 deg: 5 c5: 23 c0: -14 skew: 0.91 # Murphy_E = 3.775e-11 type: snfs lss: 1 rlim: 10800000 alim: 10800000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 Factor base limits: 10800000/10800000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 54/54 Sieved special-q in [100000, 18200000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3256739 hash collisions in 28939670 relations (27394126 unique) Msieve: matrix is 1202613 x 1202838 (416.8 MB) Sieving start time : 2022/06/24 12:01:31 Sieving end time : 2022/06/24 16:23:59 Total sieving time: 4hrs 22min 28secs. Total relation processing time: 0hrs 24min 41sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 24sec. Prototype def-par.txt line would be: snfs,191,5,0,0,0,0,0,0,0,0,10800000,10800000,28,28,54,54,2.5,2.5,100000 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) | |
40 | 3e6 | 2350 | Ignacio Santos | June 21, 2022 20:33:48 UTC 2022 年 6 月 22 日 (水) 5 時 33 分 48 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | July 14, 2022 15:35:11 UTC 2022 年 7 月 15 日 (金) 0 時 35 分 11 秒 (日本時間) |
composite number 合成数 | 74705888153434441595058165031848355647178410723520242331119590564929624318537887273294642484092393293242557555218592196557988910702755893782992476090865597985814061343<167> |
prime factors 素因数 | 165824427646343924165211967364681821293683548789775175199643247779<66> 450511961438882418422493623713257274152701715921996840019417321800526007379477999576381457429167512917<102> |
factorization results 素因数分解の結果 | Number: n N=74705888153434441595058165031848355647178410723520242331119590564929624318537887273294642484092393293242557555218592196557988910702755893782992476090865597985814061343 ( 167 digits) SNFS difficulty: 192 digits. Divisors found: Fri Jul 15 01:24:16 2022 p66 factor: 165824427646343924165211967364681821293683548789775175199643247779 Fri Jul 15 01:24:16 2022 p102 factor: 450511961438882418422493623713257274152701715921996840019417321800526007379477999576381457429167512917 Fri Jul 15 01:24:16 2022 elapsed time 00:50:53 (Msieve 1.54 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.350). Factorization parameters were as follows: # # N = 23x10^191-14 = 25(190)4 # n: 74705888153434441595058165031848355647178410723520242331119590564929624318537887273294642484092393293242557555218592196557988910702755893782992476090865597985814061343 m: 100000000000000000000000000000000000000 deg: 5 c5: 115 c0: -7 skew: 0.57 # Murphy_E = 2.946e-11 type: snfs lss: 1 rlim: 11100000 alim: 11100000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 11100000/11100000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved special-q in [100000, 18350000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3211127 hash collisions in 28071372 relations (26487374 unique) Msieve: matrix is 1436744 x 1436969 (501.5 MB) Sieving start time : 2022/07/14 19:39:02 Sieving end time : 2022/07/15 00:32:47 Total sieving time: 4hrs 53min 45secs. Total relation processing time: 0hrs 37min 26sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 5min 43sec. Prototype def-par.txt line would be: snfs,192,5,0,0,0,0,0,0,0,0,11100000,11100000,28,28,55,55,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.118884] 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) [ 0.153519] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.06 BogoMIPS (lpj=12798120) [ 0.152037] smpboot: Total of 16 processors activated (102384.96 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 22, 2022 16:44:38 UTC 2022 年 6 月 23 日 (木) 1 時 44 分 38 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | June 27, 2022 22:59:03 UTC 2022 年 6 月 28 日 (火) 7 時 59 分 3 秒 (日本時間) |
composite number 合成数 | 73757707519387578533949989735495672514953512328263607688843391601461041487411089390319900368473075033293764243066685928223555676721906303288766031157607255061862650559264608891<176> |
prime factors 素因数 | 158684962051156385106232488947391487503764410559474808660461<60> 464805905777069087481440308606883938678611774598932968158885571764752467888226414402717447310199290699505869729978631<117> |
factorization results 素因数分解の結果 | Number: n N=73757707519387578533949989735495672514953512328263607688843391601461041487411089390319900368473075033293764243066685928223555676721906303288766031157607255061862650559264608891 ( 176 digits) SNFS difficulty: 193 digits. Divisors found: Tue Jun 28 08:12:20 2022 p60 factor: 158684962051156385106232488947391487503764410559474808660461 Tue Jun 28 08:12:20 2022 p117 factor: 464805905777069087481440308606883938678611774598932968158885571764752467888226414402717447310199290699505869729978631 Tue Jun 28 08:12:20 2022 elapsed time 01:02:37 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.350). Factorization parameters were as follows: # # N = 23x10^192-14 = 25(191)4 # n: 73757707519387578533949989735495672514953512328263607688843391601461041487411089390319900368473075033293764243066685928223555676721906303288766031157607255061862650559264608891 m: 100000000000000000000000000000000000000 deg: 5 c5: 1150 c0: -7 skew: 0.36 # Murphy_E = 2.204e-11 type: snfs lss: 1 rlim: 11600000 alim: 11600000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 11600000/11600000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved special-q in [100000, 25800000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3643097 hash collisions in 28733416 relations (26662934 unique) Msieve: matrix is 1630764 x 1630989 (565.7 MB) Sieving start time : 2022/06/28 00:13:21 Sieving end time : 2022/06/28 07:08:53 Total sieving time: 6hrs 55min 32secs. Total relation processing time: 0hrs 52min 17sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 2min 15sec. Prototype def-par.txt line would be: snfs,193,5,0,0,0,0,0,0,0,0,11600000,11600000,28,28,55,55,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.116178] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved) [ 0.153523] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.13 BogoMIPS (lpj=12798268) [ 0.152034] smpboot: Total of 16 processors activated (102386.14 BogoMIPS) |
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 26, 2022 16:45:18 UTC 2022 年 6 月 27 日 (月) 1 時 45 分 18 秒 (日本時間) |
name 名前 | Eric Jeancolas |
---|---|
date 日付 | February 12, 2023 20:00:04 UTC 2023 年 2 月 13 日 (月) 5 時 0 分 4 秒 (日本時間) |
composite number 合成数 | 103883385721025590989344359305793674212015979493373668101319440844458783460035063310680711842502689494370770710414109740419120821942654331<138> |
prime factors 素因数 | 3175375818386920244543068956471839584123122087953053<52> 32715304160059386552723725603260611583608575846855344338957566882311477701207120302327<86> |
factorization results 素因数分解の結果 | 103883385721025590989344359305793674212015979493373668101319440844458783460035063310680711842502689494370770710414109740419120821942654331=3175375818386920244543068956471839584123122087953053*32715304160059386552723725603260611583608575846855344338957566882311477701207120302327 cado polynomial n: 103883385721025590989344359305793674212015979493373668101319440844458783460035063310680711842502689494370770710414109740419120821942654331 skew: 0.23 type: snfs c0: -7 c5: 11500 Y0: 100000000000000000000000000000000000000 Y1: -1 # f(x) = 11500*x^5-7 # g(x) = -x+100000000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 12000000 tasks.lim1 = 12000000 tasks.lpb0 = 28 tasks.lpb1 = 28 tasks.sieve.mfb0 = 55 tasks.sieve.mfb1 = 55 tasks.sieve.lambda0 = 2.5 tasks.sieve.lambda1 = 2.5 tasks.I = 13 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 3175375818386920244543068956471839584123122087953053 32715304160059386552723725603260611583608575846855344338957566882311477701207120302327 Info:Complete Factorization / Discrete logarithm: Square Root Info:Square Root: Total cpu/real time for sqrt: 804.29/255.294 Info:HTTP server: Got notification to stop serving Workunits Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 117.76/47.8996 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 47.3s Info:Quadratic Characters: Total cpu/real time for characters: 83.08/35.4005 Info:Filtering - Singleton removal: Total cpu/real time for purge: 112.81/48.6965 Info:Filtering - Merging: Merged matrix has 2398252 rows and total weight 410023273 (171.0 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 712.8/193.561 Info:Filtering - Merging: Total cpu/real time for replay: 112.47/586.823 Info:Generate Free Relations: Total cpu/real time for freerel: 127.47/34.1167 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 28363054 Warning:Lattice Sieving: some stats could not be displayed for sieving (see log file for debug info) Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 272.12/99.8255 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 87.5s Info:Linear Algebra: Total cpu/real time for bwc: 114270/29905.1 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 73466.74, WCT time 18920.55, iteration CPU time 0.23, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (75264 iterations) Info:Linear Algebra: Lingen CPU time 405.16, WCT time 399.6 Info:Linear Algebra: Mksol: CPU time 39306.24, WCT time 10139.68, iteration CPU time 0.25, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (37888 iterations) Info:Generate Factor Base: Total cpu/real time for makefb: 5.05/2.31615 Info:Square Root: Total cpu/real time for sqrt: 804.29/255.294 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 116617/31388.9 Info:root: Cleaning up computation data in /tmp/cado.abmn1zcl 3175375818386920244543068956471839584123122087953053 32715304160059386552723725603260611583608575846855344338957566882311477701207120302327 |
software ソフトウェア | cado-nfs-3.0.0 |
execution environment 実行環境 | Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs) |
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 | July 18, 2022 13:25:11 UTC 2022 年 7 月 18 日 (月) 22 時 25 分 11 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | July 22, 2022 11:36:48 UTC 2022 年 7 月 22 日 (金) 20 時 36 分 48 秒 (日本時間) |
composite number 合成数 | 65289345346572877102742720237993857124203044186693463684930651360573183678799130232373296090019813896979090377485962790750486831422910315148831320718296345499860905307739909957476765509058187<191> |
prime factors 素因数 | 2674978959941865768111382919182017568386879335978319534649<58> 2987657111346971264249605229855313683676827569799264626740260587733<67> 8169419371368547743527743072426574837604871650033684077079341085911<67> |
factorization results 素因数分解の結果 | Number: n N=65289345346572877102742720237993857124203044186693463684930651360573183678799130232373296090019813896979090377485962790750486831422910315148831320718296345499860905307739909957476765509058187 ( 191 digits) SNFS difficulty: 196 digits. Divisors found: Fri Jul 22 21:04:29 2022 found factor: 2674978959941865768111382919182017568386879335978319534649 Fri Jul 22 21:06:26 2022 p58 factor: 2674978959941865768111382919182017568386879335978319534649 Fri Jul 22 21:06:26 2022 p67 factor: 2987657111346971264249605229855313683676827569799264626740260587733 Fri Jul 22 21:06:26 2022 p67 factor: 8169419371368547743527743072426574837604871650033684077079341085911 Fri Jul 22 21:06:26 2022 elapsed time 00:58:54 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.350). Factorization parameters were as follows: # # N = 23x10^195-14 = 25(194)4 # n: 65289345346572877102742720237993857124203044186693463684930651360573183678799130232373296090019813896979090377485962790750486831422910315148831320718296345499860905307739909957476765509058187 m: 1000000000000000000000000000000000000000 deg: 5 c5: 23 c0: -14 skew: 0.91 # Murphy_E = 2.343e-11 type: snfs lss: 1 rlim: 13100000 alim: 13100000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 13100000/13100000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved special-q in [100000, 19350000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3389159 hash collisions in 28840867 relations (27112718 unique) Msieve: matrix is 1551583 x 1551808 (540.8 MB) Sieving start time : 2022/07/22 14:09:57 Sieving end time : 2022/07/22 20:07:01 Total sieving time: 5hrs 57min 4secs. Total relation processing time: 0hrs 46min 45sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 3min 54sec. Prototype def-par.txt line would be: snfs,196,5,0,0,0,0,0,0,0,0,13100000,13100000,28,28,55,55,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.118312] 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) [ 0.153549] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.21 BogoMIPS (lpj=12798428) [ 0.152036] smpboot: Total of 16 processors activated (102387.42 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 26, 2022 18:20:17 UTC 2022 年 7 月 27 日 (水) 3 時 20 分 17 秒 (日本時間) |
composite number 合成数 | 473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251<195> |
prime factors 素因数 | 11316476338910627426105720235466070877103868651<47> 41819645500371499649863955022739572824548437596555247622871165642400747330487384537746805500458288541299946960129503121668616418593046367242414314601<149> |
factorization results 素因数分解の結果 | Number: n N=473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251 ( 195 digits) SNFS difficulty: 197 digits. Divisors found: Wed Jul 27 03:57:27 2022 p47 factor: 11316476338910627426105720235466070877103868651 Wed Jul 27 03:57:27 2022 p149 factor: 41819645500371499649863955022739572824548437596555247622871165642400747330487384537746805500458288541299946960129503121668616418593046367242414314601 Wed Jul 27 03:57:27 2022 elapsed time 01:17:31 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.351). Factorization parameters were as follows: # # N = 23x10^196-14 = 25(195)4 # n: 473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251 m: 1000000000000000000000000000000000000000 deg: 5 c5: 115 c0: -7 skew: 0.57 # Murphy_E = 1.827e-11 type: snfs lss: 1 rlim: 13500000 alim: 13500000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 13500000/13500000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved special-q in [100000, 19550000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3477880 hash collisions in 27736433 relations (25775012 unique) Msieve: matrix is 1807410 x 1807635 (630.8 MB) Sieving start time : 2022/07/26 20:32:57 Sieving end time : 2022/07/27 02:39:26 Total sieving time: 6hrs 6min 29secs. Total relation processing time: 1hrs 7min 18sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 2min 21sec. Prototype def-par.txt line would be: snfs,197,5,0,0,0,0,0,0,0,0,13500000,13500000,28,28,55,55,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.118312] 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) [ 0.153549] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.21 BogoMIPS (lpj=12798428) [ 0.152036] smpboot: Total of 16 processors activated (102387.42 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 | August 23, 2022 12:11:03 UTC 2022 年 8 月 23 日 (火) 21 時 11 分 3 秒 (日本時間) |
composite number 合成数 | 2176641753096562042619258683935184710271465869039018676647719796455382839875799432784407678925955609958305240100722570565740693872076983019029833959168782405164413536551963<172> |
prime factors 素因数 | 15493574819400189995797809808549378789829723610961463388650697469964761396900716499<83> 140486735854600364736390675792717742809638497064860938973521301754061039236016541180208537<90> |
factorization results 素因数分解の結果 | Number: n N=2176641753096562042619258683935184710271465869039018676647719796455382839875799432784407678925955609958305240100722570565740693872076983019029833959168782405164413536551963 ( 172 digits) SNFS difficulty: 198 digits. Divisors found: Tue Aug 23 22:06:02 2022 p83 factor: 15493574819400189995797809808549378789829723610961463388650697469964761396900716499 Tue Aug 23 22:06:02 2022 p90 factor: 140486735854600364736390675792717742809638497064860938973521301754061039236016541180208537 Tue Aug 23 22:06:02 2022 elapsed time 01:11:26 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.334). Factorization parameters were as follows: # # N = 23x10^197-14 = 25(196)4 # n: 2176641753096562042619258683935184710271465869039018676647719796455382839875799432784407678925955609958305240100722570565740693872076983019029833959168782405164413536551963 m: 500000000000000000000000000000000 deg: 6 c6: 368 c0: -35 skew: 0.68 # Murphy_E = 1.432e-11 type: snfs lss: 1 rlim: 14400000 alim: 14400000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 14400000/14400000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved special-q in [100000, 27200000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3601561 hash collisions in 28014449 relations (26409851 unique) Msieve: matrix is 1762048 x 1762273 (618.8 MB) Sieving start time : 2022/08/23 12:33:14 Sieving end time : 2022/08/23 20:54:06 Total sieving time: 8hrs 20min 52secs. Total relation processing time: 1hrs 0min 10sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 3min 3sec. Prototype def-par.txt line would be: snfs,198,6,0,0,0,0,0,0,0,0,14400000,14400000,28,28,55,55,2.5,2.5,100000 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 21, 2022 14:54:37 UTC 2022 年 8 月 21 日 (日) 23 時 54 分 37 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | September 2, 2022 19:20:40 UTC 2022 年 9 月 3 日 (土) 4 時 20 分 40 秒 (日本時間) |
composite number 合成数 | 125678386204884194840447354045534145235516520395970855322558674540618315182446741540952360883516501808488166566106747788276190131439914055033928606139781794303313590758037401<174> |
prime factors 素因数 | 17028320231217812059744783619763877543141624502859114572834402963<65> 7380551017268252935836199321929104357645844210835148931247689263853943505833975246172256847768572999963249827<109> |
factorization results 素因数分解の結果 | Number: n N=125678386204884194840447354045534145235516520395970855322558674540618315182446741540952360883516501808488166566106747788276190131439914055033928606139781794303313590758037401 ( 174 digits) SNFS difficulty: 200 digits. Divisors found: Sat Sep 3 04:05:54 2022 p65 factor: 17028320231217812059744783619763877543141624502859114572834402963 Sat Sep 3 04:05:54 2022 p109 factor: 7380551017268252935836199321929104357645844210835148931247689263853943505833975246172256847768572999963249827 Sat Sep 3 04:05:54 2022 elapsed time 01:19:23 (Msieve 1.54 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.340). Factorization parameters were as follows: # # N = 23x10^199-14 = 25(198)4 # n: 125678386204884194840447354045534145235516520395970855322558674540618315182446741540952360883516501808488166566106747788276190131439914055033928606139781794303313590758037401 m: 1000000000000000000000000000000000 deg: 6 c6: 115 c0: -7 skew: 0.63 # Murphy_E = 1.411e-11 type: snfs lss: 1 rlim: 12100000 alim: 12100000 lpbr: 28 lpba: 28 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 12100000/12100000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 56/56 Sieved special-q in [100000, 26050000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3985571 hash collisions in 28689487 relations (26652027 unique) Msieve: matrix is 1766350 x 1766575 (623.9 MB) Sieving start time : 2022/09/02 17:49:25 Sieving end time : 2022/09/03 02:45:39 Total sieving time: 8hrs 56min 14secs. Total relation processing time: 1hrs 2min 29sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 8min 36sec. Prototype def-par.txt line would be: snfs,200,6,0,0,0,0,0,0,0,0,12100000,12100000,28,28,56,56,2.6,2.6,100000 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 1, 2022 10:17:50 UTC 2022 年 9 月 1 日 (木) 19 時 17 分 50 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | October 30, 2022 14:45:15 UTC 2022 年 10 月 30 日 (日) 23 時 45 分 15 秒 (日本時間) |
composite number 合成数 | 715550344026660844891674305986189848584680086518088015071699371867420879398652327190347616695913784554946216395566755896121168856995410986699266486464394786292671626514619498109760273435727<189> |
prime factors 素因数 | 171366713277372995400358669610550102172430357569709951125920015460119953<72> 4175550375810008853400594816747306575690661443558362956084301779391678230673604660332231831999241458659521850323694559<118> |
factorization results 素因数分解の結果 | Number: n N=715550344026660844891674305986189848584680086518088015071699371867420879398652327190347616695913784554946216395566755896121168856995410986699266486464394786292671626514619498109760273435727 ( 189 digits) SNFS difficulty: 201 digits. Divisors found: Sun Oct 30 12:05:09 2022 p72 factor: 171366713277372995400358669610550102172430357569709951125920015460119953 Sun Oct 30 12:05:09 2022 p118 factor: 4175550375810008853400594816747306575690661443558362956084301779391678230673604660332231831999241458659521850323694559 Sun Oct 30 12:05:09 2022 elapsed time 01:56:24 (Msieve 1.54 - dependency 5) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.315). Factorization parameters were as follows: # # N = 23x10^200-14 = 25(199)4 # n: 715550344026660844891674305986189848584680086518088015071699371867420879398652327190347616695913784554946216395566755896121168856995410986699266486464394786292671626514619498109760273435727 m: 10000000000000000000000000000000000000000 deg: 5 c5: 23 c0: -14 skew: 0.91 # Murphy_E = 1.448e-11 type: snfs lss: 1 rlim: 15900000 alim: 15900000 lpbr: 27 lpba: 27 mfbr: 54 mfba: 54 rlambda: 2.6 alambda: 2.6 Factor base limits: 15900000/15900000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 54/54 Sieved special-q in [100000, 27983413) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1963176 hash collisions in 13993770 relations (12745477 unique) Msieve: matrix is 2164305 x 2164531 (754.9 MB) Sieving start time : 2022/10/30 01:27:23 Sieving end time : 2022/10/30 10:08:24 Total sieving time: 8hrs 41min 1secs. Total relation processing time: 1hrs 33min 37sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 13min 19sec. Prototype def-par.txt line would be: snfs,201,5,0,0,0,0,0,0,0,0,15900000,15900000,27,27,54,54,2.6,2.6,100000 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 | 1792 | Dmitry Domanov | October 13, 2022 05:21:20 UTC 2022 年 10 月 13 日 (木) 14 時 21 分 20 秒 (日本時間) | |
45 | 11e6 | 1000 / 4038 | Dmitry Domanov | October 13, 2022 05:21:20 UTC 2022 年 10 月 13 日 (木) 14 時 21 分 20 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | September 2, 2023 12:38:33 UTC 2023 年 9 月 2 日 (土) 21 時 38 分 33 秒 (日本時間) |
composite number 合成数 | 47824347468948912017316938237254088287845941442980440995366068316983864745076728884993039419045207737591835192507700841101762308275203394292007904013847197160635595379303766844667107<182> |
prime factors 素因数 | 186569361325570147123805951781606671806122290194192157438642351317<66> 256335483646179883167302047830988512583316992898406562986682915346942520629088516356065496840915657082417900805510871<117> |
factorization results 素因数分解の結果 | Number: n N=47824347468948912017316938237254088287845941442980440995366068316983864745076728884993039419045207737591835192507700841101762308275203394292007904013847197160635595379303766844667107 ( 182 digits) SNFS difficulty: 204 digits. Divisors found: Sat Sep 2 14:16:44 2023 prp66 factor: 186569361325570147123805951781606671806122290194192157438642351317 Sat Sep 2 14:16:44 2023 prp117 factor: 256335483646179883167302047830988512583316992898406562986682915346942520629088516356065496840915657082417900805510871 Sat Sep 2 14:16:44 2023 elapsed time 02:36:21 (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 = 23x10^203-14 = 25(202)4 # n: 47824347468948912017316938237254088287845941442980440995366068316983864745076728884993039419045207737591835192507700841101762308275203394292007904013847197160635595379303766844667107 m: 5000000000000000000000000000000000 deg: 6 c6: 368 c0: -35 skew: 0.68 # Murphy_E = 9.097e-12 type: snfs lss: 1 rlim: 18100000 alim: 18100000 lpbr: 27 lpba: 27 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 18100000/18100000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 56/56 Sieved special-q in [100000, 41850000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3547693 hash collisions in 19277636 relations (16748345 unique) Msieve: matrix is 2175835 x 2176060 (617.3 MB) Sieving start time: 2023/09/01 17:27:32 Sieving end time : 2023/09/02 11:39:57 Total sieving time: 18hrs 12min 25secs. Total relation processing time: 2hrs 27min 43sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 3min 21sec. Prototype def-par.txt line would be: snfs,204,6,0,0,0,0,0,0,0,0,18100000,18100000,27,27,56,56,2.6,2.6,100000 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 | 1792 | Dmitry Domanov | October 13, 2022 05:21:26 UTC 2022 年 10 月 13 日 (木) 14 時 21 分 26 秒 (日本時間) | |
45 | 11e6 | 1000 / 4038 | Dmitry Domanov | October 13, 2022 05:21:26 UTC 2022 年 10 月 13 日 (木) 14 時 21 分 26 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | October 9, 2023 16:34:33 UTC 2023 年 10 月 10 日 (火) 1 時 34 分 33 秒 (日本時間) |
composite number 合成数 | 9090905129379527243809110236606441487510084921463007115867921598097762251064508034960715538241644106229952793021992520739162199754874686095504568230191092451352311757382248099351026703118367<190> |
prime factors 素因数 | 13883089242354514539494778716335574147799436666934026901920598893981459<71> 654818604899909677296044374692867564262343543138746252058679100136711826339348543168371165085999735383617833797402476613<120> |
factorization results 素因数分解の結果 | Number: n N=9090905129379527243809110236606441487510084921463007115867921598097762251064508034960715538241644106229952793021992520739162199754874686095504568230191092451352311757382248099351026703118367 ( 190 digits) SNFS difficulty: 205 digits. Divisors found: Mon Oct 9 02:56:54 2023 prp71 factor: 13883089242354514539494778716335574147799436666934026901920598893981459 Mon Oct 9 02:56:54 2023 prp120 factor: 654818604899909677296044374692867564262343543138746252058679100136711826339348543168371165085999735383617833797402476613 Mon Oct 9 02:56:54 2023 elapsed time 03:01:53 (Msieve 1.44 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.020). Factorization parameters were as follows: # # N = 23x10^204-14 = 25(203)4 # n: 9090905129379527243809110236606441487510084921463007115867921598097762251064508034960715538241644106229952793021992520739162199754874686095504568230191092451352311757382248099351026703118367 m: 10000000000000000000000000000000000 deg: 6 c6: 23 c0: -14 skew: 0.92 # Murphy_E = 8.855e-12 type: snfs lss: 1 rlim: 18500000 alim: 18500000 lpbr: 27 lpba: 27 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 18500000/18500000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 56/56 Sieved special-q in [100000, 42050000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3123189 hash collisions in 18501940 relations (16071240 unique) Msieve: matrix is 2335945 x 2336171 (658.3 MB) Sieving start time: 2023/10/08 04:53:52 Sieving end time : 2023/10/08 23:54:38 Total sieving time: 19hrs 0min 46secs. Total relation processing time: 2hrs 46min 53sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 9min 47sec. Prototype def-par.txt line would be: snfs,205,6,0,0,0,0,0,0,0,0,18500000,18500000,27,27,56,56,2.6,2.6,100000 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 | 1792 | Dmitry Domanov | October 13, 2022 05:21:31 UTC 2022 年 10 月 13 日 (木) 14 時 21 分 31 秒 (日本時間) | |
45 | 11e6 | 1000 / 4038 | Dmitry Domanov | October 13, 2022 05:21:31 UTC 2022 年 10 月 13 日 (木) 14 時 21 分 31 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | October 23, 2024 14:47:59 UTC 2024 年 10 月 23 日 (水) 23 時 47 分 59 秒 (日本時間) |
composite number 合成数 | 42809022090000185971350638251320544717614070131861110475423424374374709565994915622091673206072573149329425406018496000422564288255463489764498962402141095411171273467<167> |
prime factors 素因数 | 1090025129854596240734339208176425483481645162814871495628675543029879943<73> 39273426747244524408024010088384491114213574960882446310147721283180571385222195413470127621869<95> |
factorization results 素因数分解の結果 | 10/22/24 03:14:02 v1.34.5 @ RYZEN-9, 10/22/24 03:14:02 v1.34.5 @ RYZEN-9, **************************** 10/22/24 03:14:02 v1.34.5 @ RYZEN-9, Starting factorization of 229999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999986 10/22/24 03:14:02 v1.34.5 @ RYZEN-9, using pretesting plan: normal 10/22/24 03:14:02 v1.34.5 @ RYZEN-9, no tune info: using qs/gnfs crossover of 125 digits 10/22/24 03:14:02 v1.34.5 @ RYZEN-9, **************************** 10/22/24 03:14:02 v1.34.5 @ RYZEN-9, div: found prime factor = 2 10/22/24 03:14:02 v1.34.5 @ RYZEN-9, div: found prime factor = 3 10/22/24 03:14:02 v1.34.5 @ RYZEN-9, div: found prime factor = 3 10/22/24 03:14:02 v1.34.5 @ RYZEN-9, div: found prime factor = 3 10/22/24 03:14:02 v1.34.5 @ RYZEN-9, div: found prime factor = 1021 10/22/24 03:14:02 v1.34.5 @ RYZEN-9, div: found prime factor = 2179 10/22/24 03:14:02 v1.34.5 @ RYZEN-9, rho: x^2 + 3, starting 1000 iterations on C202 10/22/24 03:14:02 v1.34.5 @ RYZEN-9, rho: x^2 + 2, starting 1000 iterations on C202 10/22/24 03:14:02 v1.34.5 @ RYZEN-9, prp6 = 742283 10/22/24 03:14:02 v1.34.5 @ RYZEN-9, rho: x^2 + 2, starting 1000 iterations on C196 10/22/24 03:14:02 v1.34.5 @ RYZEN-9, rho: x^2 + 1, starting 1000 iterations on C196 10/22/24 03:14:02 v1.34.5 @ RYZEN-9, pm1: starting B1 = 150K, B2 = gmp-ecm default on C196 10/22/24 03:14:02 v1.34.5 @ RYZEN-9, prp10 = 2969481343 10/22/24 03:14:02 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 0.00 10/22/24 03:14:02 v1.34.5 @ RYZEN-9, scheduled 30 curves at B1=2000 toward target pretesting depth of 57.23 10/22/24 03:14:02 v1.34.5 @ RYZEN-9, Finished 30 curves using Lenstra ECM method on C186 input, B1=2K, B2=gmp-ecm default 10/22/24 03:14:02 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 15.18 10/22/24 03:14:02 v1.34.5 @ RYZEN-9, scheduled 74 curves at B1=11000 toward target pretesting depth of 57.23 10/22/24 03:14:03 v1.34.5 @ RYZEN-9, prp20 = 20289235422768531787 (curve 14 stg2 B1=11000 sigma=1460100286 thread=0) 10/22/24 03:14:03 v1.34.5 @ RYZEN-9, Finished 14 curves using Lenstra ECM method on C186 input, B1=11K, B2=gmp-ecm default 10/22/24 03:14:03 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 16.12 10/22/24 03:14:03 v1.34.5 @ RYZEN-9, scheduled 60 curves at B1=11000 toward target pretesting depth of 51.38 10/22/24 03:14:04 v1.34.5 @ RYZEN-9, Finished 60 curves using Lenstra ECM method on C167 input, B1=11K, B2=gmp-ecm default 10/22/24 03:14:04 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 20.24 10/22/24 03:14:04 v1.34.5 @ RYZEN-9, scheduled 214 curves at B1=50000 toward target pretesting depth of 51.38 10/22/24 03:14:43 v1.34.5 @ RYZEN-9, nfs: commencing nfs on c210: 229999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999986 10/22/24 03:14:43 v1.34.5 @ RYZEN-9, nfs: input divides 23*10^208 - 14 10/22/24 03:14:43 v1.34.5 @ RYZEN-9, nfs: using supplied cofactor: 42809022090000185971350638251320544717614070131861110475423424374374709565994915622091673206072573149329425406018496000422564288255463489764498962402141095411171273467 10/22/24 03:14:43 v1.34.5 @ RYZEN-9, nfs: commencing snfs on c167: 42809022090000185971350638251320544717614070131861110475423424374374709565994915622091673206072573149329425406018496000422564288255463489764498962402141095411171273467 10/22/24 03:14:43 v1.34.5 @ RYZEN-9, gen: best 3 polynomials: n: 42809022090000185971350638251320544717614070131861110475423424374374709565994915622091673206072573149329425406018496000422564288255463489764498962402141095411171273467 # 23*10^208-14, difficulty: 212.36, anorm: -2.57e+027, rnorm: 2.10e+047 # scaled difficulty: 215.68, suggest sieving rational side # size = 1.243e-014, alpha = -0.372, combined = 5.498e-012, rroots = 1 type: snfs size: 212 skew: 0.2274 c5: 11500 c0: -7 Y1: -1 Y0: 100000000000000000000000000000000000000000 m: 100000000000000000000000000000000000000000 n: 42809022090000185971350638251320544717614070131861110475423424374374709565994915622091673206072573149329425406018496000422564288255463489764498962402141095411171273467 # 23*10^208-14, difficulty: 210.76, anorm: 3.40e+032, rnorm: 5.02e+040 # scaled difficulty: 212.12, suggest sieving rational side # size = 1.859e-010, alpha = -1.491, combined = 5.171e-012, rroots = 2 type: snfs size: 210 skew: 0.9917 c6: 184 c0: -175 Y1: -1 Y0: 50000000000000000000000000000000000 m: 50000000000000000000000000000000000 n: 42809022090000185971350638251320544717614070131861110475423424374374709565994915622091673206072573149329425406018496000422564288255463489764498962402141095411171273467 # 23*10^208-14, difficulty: 210.76, anorm: 5.26e+024, rnorm: 4.69e+047 # scaled difficulty: 214.58, suggest sieving rational side # size = 1.137e-014, alpha = -0.103, combined = 5.122e-012, rroots = 1 type: snfs size: 210 skew: 1.1372 c5: 92 c0: -175 Y1: -1 Y0: 500000000000000000000000000000000000000000 m: 500000000000000000000000000000000000000000 10/22/24 03:14:45 v1.34.5 @ RYZEN-9, test: fb generation took 1.8751 seconds 10/22/24 03:14:45 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 0 on the rational side over range 22600000-22602000 skew: 0.2274 c5: 11500 c0: -7 Y1: -1 Y0: 100000000000000000000000000000000000000000 m: 100000000000000000000000000000000000000000 rlim: 22600000 alim: 22600000 mfbr: 58 mfba: 58 lpbr: 29 lpba: 29 rlambda: 2.60 alambda: 2.60 10/22/24 03:18:03 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file 10/22/24 03:18:05 v1.34.5 @ RYZEN-9, test: fb generation took 2.6105 seconds 10/22/24 03:18:05 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 1 on the rational side over range 22600000-22602000 skew: 0.9917 c6: 184 c0: -175 Y1: -1 Y0: 50000000000000000000000000000000000 m: 50000000000000000000000000000000000 rlim: 22600000 alim: 22600000 mfbr: 58 mfba: 58 lpbr: 29 lpba: 29 rlambda: 2.60 alambda: 2.60 10/22/24 03:21:20 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file 10/22/24 03:21:21 v1.34.5 @ RYZEN-9, test: fb generation took 1.7969 seconds 10/22/24 03:21:21 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 2 on the rational side over range 22600000-22602000 skew: 1.1372 c5: 92 c0: -175 Y1: -1 Y0: 500000000000000000000000000000000000000000 m: 500000000000000000000000000000000000000000 rlim: 22600000 alim: 22600000 mfbr: 58 mfba: 58 lpbr: 29 lpba: 29 rlambda: 2.60 alambda: 2.60 10/22/24 03:24:38 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file 10/22/24 03:24:38 v1.34.5 @ RYZEN-9, gen: selected polynomial: n: 42809022090000185971350638251320544717614070131861110475423424374374709565994915622091673206072573149329425406018496000422564288255463489764498962402141095411171273467 # 23*10^208-14, difficulty: 212.36, anorm: -2.57e+027, rnorm: 2.10e+047 # scaled difficulty: 215.68, suggest sieving rational side # size = 1.243e-014, alpha = -0.372, combined = 5.498e-012, rroots = 1 type: snfs size: 212 skew: 0.2274 c5: 11500 c0: -7 Y1: -1 Y0: 100000000000000000000000000000000000000000 m: 100000000000000000000000000000000000000000 10/23/24 12:54:26 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering 10/23/24 13:01:15 v1.34.5 @ RYZEN-9, nfs: commencing msieve linear algebra 10/23/24 18:38:07 v1.34.5 @ RYZEN-9, nfs: commencing msieve sqrt 10/23/24 19:09:07 v1.34.5 @ RYZEN-9, prp73 = 1090025129854596240734339208176425483481645162814871495628675543029879943 10/23/24 19:09:07 v1.34.5 @ RYZEN-9, prp95 = 39273426747244524408024010088384491114213574960882446310147721283180571385222195413470127621869 10/23/24 19:09:07 v1.34.5 @ RYZEN-9, NFS elapsed time = 143663.9015 seconds. 10/23/24 19:09:07 v1.34.5 @ RYZEN-9, 10/23/24 19:09:07 v1.34.5 @ RYZEN-9, 10/22/24 03:24:38 v1.34.5 @ RYZEN-9, test: test sieving took 594.48 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 | 1792 | Dmitry Domanov | October 3, 2022 10:30:28 UTC 2022 年 10 月 3 日 (月) 19 時 30 分 28 秒 (日本時間) | |
45 | 11e6 | 5480 | 1000 | Dmitry Domanov | October 3, 2022 10:30:28 UTC 2022 年 10 月 3 日 (月) 19 時 30 分 28 秒 (日本時間) |
4480 | Ignacio Santos | October 19, 2024 07:50:36 UTC 2024 年 10 月 19 日 (土) 16 時 50 分 36 秒 (日本時間) |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | October 4, 2022 07:34:30 UTC 2022 年 10 月 4 日 (火) 16 時 34 分 30 秒 (日本時間) |
composite number 合成数 | 1176895885918387166202768094759602642512885980890300172007284603642234909860422728900653989450506204846319376604372565456266086166004016028980066617816481785689259385729613<172> |
prime factors 素因数 | 518865388716758362080843504760894033589689<42> 2268210428968964825767652547280148515211884274832133674428296942871862625393923482033638149608015460907888631891313904566368824117<130> |
factorization results 素因数分解の結果 | Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:420845378 Step 1 took 28038ms ********** Factor found in step 1: 518865388716758362080843504760894033589689 Found prime factor of 42 digits: 518865388716758362080843504760894033589689 Prime cofactor 2268210428968964825767652547280148515211884274832133674428296942871862625393923482033638149608015460907888631891313904566368824117 has 130 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 | 1792 | Dmitry Domanov | October 3, 2022 10:32:26 UTC 2022 年 10 月 3 日 (月) 19 時 32 分 26 秒 (日本時間) | |
45 | 11e6 | 1000 / 4038 | Dmitry Domanov | October 3, 2022 10:32:26 UTC 2022 年 10 月 3 日 (月) 19 時 32 分 26 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 | October 3, 2022 10:32:37 UTC 2022 年 10 月 3 日 (月) 19 時 32 分 37 秒 (日本時間) | |
45 | 11e6 | 1000 / 4038 | Dmitry Domanov | October 3, 2022 10:32:37 UTC 2022 年 10 月 3 日 (月) 19 時 32 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 | 1792 | Dmitry Domanov | October 13, 2022 05:21:36 UTC 2022 年 10 月 13 日 (木) 14 時 21 分 36 秒 (日本時間) | |
45 | 11e6 | 1000 / 4038 | Dmitry Domanov | October 13, 2022 05:21:36 UTC 2022 年 10 月 13 日 (木) 14 時 21 分 36 秒 (日本時間) |
composite cofactor 合成数の残り | 1820853928637894689901751094729452963260647327379702939258530323682282344731899482793263829467120894376264330579246789417234778746038973121459565722810360867<157> |
---|
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 | October 3, 2022 10:32:43 UTC 2022 年 10 月 3 日 (月) 19 時 32 分 43 秒 (日本時間) | |
45 | 11e6 | 1000 / 4038 | Dmitry Domanov | October 3, 2022 10:32:43 UTC 2022 年 10 月 3 日 (月) 19 時 32 分 43 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 | 2100 | ebina | April 14, 2024 03:57:04 UTC 2024 年 4 月 14 日 (日) 12 時 57 分 4 秒 (日本時間) |
name 名前 | Erik Branger |
---|---|
date 日付 | August 15, 2022 15:52:49 UTC 2022 年 8 月 16 日 (火) 0 時 52 分 49 秒 (日本時間) |
composite number 合成数 | 2009240836080186522213304733824994122483393890443971328287481847297795580391665461432729156594797053217644267206745548580231256640843841242514869913875598861225146630820723192462510032064138225171247<199> |
prime factors 素因数 | 133309075985734590304047018260779224473<39> 321458827794275571836987072158166020944336925847263<51> 272788330821966797635223824765837170201162192846143531<54> 171878333010767900495921069158098166501979423898792663563<57> |
factorization results 素因数分解の結果 | Number: 25554_219 N = 2009240836080186522213304733824994122483393890443971328287481847297795580391665461432729156594797053217644267206745548580231256640843841242514869913875598861225146630820723192462510032064138225171247 (199 digits) SNFS difficulty: 222 digits. Divisors found: r1=133309075985734590304047018260779224473 (pp39) r2=321458827794275571836987072158166020944336925847263 (pp51) r3=272788330821966797635223824765837170201162192846143531 (pp54) r4=171878333010767900495921069158098166501979423898792663563 (pp57) Version: Msieve v. 1.52 (SVN unknown) Total time: 40.41 hours. Factorization parameters were as follows: n: 2009240836080186522213304733824994122483393890443971328287481847297795580391665461432729156594797053217644267206745548580231256640843841242514869913875598861225146630820723192462510032064138225171247 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 23 c0: -140 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: 31200791 Relations: 7185994 relations Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G rational relations. Total batch smoothness checking time: 18.80 hours. Total relation processing time: 0.34 hours. Pruned matrix : 6258554 x 6258779 Matrix solve time: 20.63 hours. time per square root: 0.65 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: 40.41 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 | Ignacio Santos |
---|---|
date 日付 | June 5, 2022 19:17:25 UTC 2022 年 6 月 6 日 (月) 4 時 17 分 25 秒 (日本時間) |
composite number 合成数 | 167421208252602135559276002167269249840087733703862919978637802223905538407377824119115408963346999218748661813518314045226904989435695186599<141> |
prime factors 素因数 | 1082145777346944027430302316230886598848173007717<49> 154712250195220827797715013777261639659226819774242436561937084432530272743267129852602366747<93> |
factorization results 素因数分解の結果 | Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:834170114 Step 1 took 21578ms Step 2 took 10657ms ********** Factor found in step 2: 1082145777346944027430302316230886598848173007717 Found prime factor of 49 digits: 1082145777346944027430302316230886598848173007717 Prime cofactor 154712250195220827797715013777261639659226819774242436561937084432530272743267129852602366747 has 93 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 13:17:14 UTC 2022 年 6 月 3 日 (金) 22 時 17 分 14 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 | 2100 | ebina | April 13, 2024 23:45:37 UTC 2024 年 4 月 14 日 (日) 8 時 45 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 | 1792 | Dmitry Domanov | October 3, 2022 10:32:51 UTC 2022 年 10 月 3 日 (月) 19 時 32 分 51 秒 (日本時間) | |
45 | 11e6 | 1000 / 4038 | Dmitry Domanov | October 3, 2022 10:32:51 UTC 2022 年 10 月 3 日 (月) 19 時 32 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 | 1792 | Dmitry Domanov | October 3, 2022 10:32:59 UTC 2022 年 10 月 3 日 (月) 19 時 32 分 59 秒 (日本時間) | |
45 | 11e6 | 1000 / 4038 | Dmitry Domanov | October 3, 2022 10:32:59 UTC 2022 年 10 月 3 日 (月) 19 時 32 分 59 秒 (日本時間) |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | October 15, 2022 07:03:27 UTC 2022 年 10 月 15 日 (土) 16 時 3 分 27 秒 (日本時間) |
composite number 合成数 | 2096116662311051256948208482187150611119051691288817325293720937581449819661266085131050153213142514077679996374511647054062184506210617188733986089366105255907437831691819442486404788220574685251<196> |
prime factors 素因数 | 631761256679734615064359093735621978191329873223013<51> 3317893650723912220170888272141416919323077563050137642579972675945011627047428769385269739148782550299579002260968316355065208749970640928520327<145> |
factorization results 素因数分解の結果 | Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3230836262 Step 1 took 55360ms Step 2 took 22333ms ********** Factor found in step 2: 631761256679734615064359093735621978191329873223013 Found prime factor of 51 digits: 631761256679734615064359093735621978191329873223013 Prime cofactor 3317893650723912220170888272141416919323077563050137642579972675945011627047428769385269739148782550299579002260968316355065208749970640928520327 has 145 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 | 1792 | Dmitry Domanov | October 13, 2022 05:21:46 UTC 2022 年 10 月 13 日 (木) 14 時 21 分 46 秒 (日本時間) | |
45 | 11e6 | 1000 / 4038 | Dmitry Domanov | October 13, 2022 05:21:46 UTC 2022 年 10 月 13 日 (木) 14 時 21 分 46 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 | October 13, 2022 05:21:53 UTC 2022 年 10 月 13 日 (木) 14 時 21 分 53 秒 (日本時間) | |
45 | 11e6 | 1000 / 4038 | Dmitry Domanov | October 13, 2022 05:21:53 UTC 2022 年 10 月 13 日 (木) 14 時 21 分 53 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 | October 13, 2022 05:21:59 UTC 2022 年 10 月 13 日 (木) 14 時 21 分 59 秒 (日本時間) | |
45 | 11e6 | 1000 / 4038 | Dmitry Domanov | October 13, 2022 05:21:59 UTC 2022 年 10 月 13 日 (木) 14 時 21 分 59 秒 (日本時間) |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | September 1, 2022 17:13:32 UTC 2022 年 9 月 2 日 (金) 2 時 13 分 32 秒 (日本時間) |
composite number 合成数 | 3234796396706811801605306353725037829534424254542652781874603357291438587187535516733787642414622507984532615416717633878992505637831020611788240796915001262308840989222087027151559810997502340059<196> |
prime factors 素因数 | 94104690340361137962889858272961549667<38> 34374443877420848702066329198291136089960103335635248897926554598442515922973152063719605908672666711046313783687253418739214682477002226071728238877521147177<158> |
factorization results 素因数分解の結果 | Resuming ECM residue saved by @f92c91b240aa with GMP-ECM 7.0.5-dev on Sat Aug 27 17:53:11 2022 Input number is 3234796396706811801605306353725037829534424254542652781874603357291438587187535516733787642414622507984532615416717633878992505637831020611788240796915001262308840989222087027151559810997502340059 (196 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2831672306 Step 1 took 0ms Step 2 took 4954ms ********** Factor found in step 2: 94104690340361137962889858272961549667 Found prime factor of 38 digits: 94104690340361137962889858272961549667 Prime cofactor 34374443877420848702066329198291136089960103335635248897926554598442515922973152063719605908672666711046313783687253418739214682477002226071728238877521147177 has 158 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 | 2350 | Ignacio Santos | August 24, 2024 07:00:37 UTC 2024 年 8 月 24 日 (土) 16 時 0 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 24, 2024 07:29:17 UTC 2024 年 8 月 24 日 (土) 16 時 29 分 17 秒 (日本時間) |
name 名前 | ebina |
---|---|
date 日付 | June 26, 2022 21:43:07 UTC 2022 年 6 月 27 日 (月) 6 時 43 分 7 秒 (日本時間) |
composite number 合成数 | 340741155596688642805842195568805815932359440269520805912852467967456407440783497755874722327793827095368951571573217102348182869007054375349<141> |
prime factors 素因数 | 2511501810896237213564568053764632940102051845271443568528180700531<67> 135672271514347068786642944464397530221171882591891083520059528878935591479<75> |
factorization results 素因数分解の結果 | Number: 25554_231 N = 340741155596688642805842195568805815932359440269520805912852467967456407440783497755874722327793827095368951571573217102348182869007054375349 (141 digits) Divisors found: r1=2511501810896237213564568053764632940102051845271443568528180700531 (pp67) r2=135672271514347068786642944464397530221171882591891083520059528878935591479 (pp75) Version: Msieve v. 1.53 (SVN unknown) Total time: 47.32 hours. Factorization parameters were as follows: n: 340741155596688642805842195568805815932359440269520805912852467967456407440783497755874722327793827095368951571573217102348182869007054375349 # norm 1.429200e-13 alpha -7.758092 e 1.780e-11 rroots 5 skew: 17076952.44 c0: 26865521563354253931431290912607606400 c1: 3285576838738973004203420711136 c2: -3553332369404112380800144 c3: 180993874283306024 c4: 11899886489 c5: 60 Y0: -5634483867462618793993017973 Y1: 172875501168041 type: gnfs Factor base limits: 12900000/12900000 Large primes per side: 3 Large prime bits: 28/28 Sieved algebraic special-q in [0, 0) Total raw relations: 23473687 Relations: 3733916 relations Pruned matrix : 2246162 x 2246392 Polynomial selection time: 0.76 hours. Total sieving time: 44.09 hours. Total relation processing time: 0.19 hours. Matrix solve time: 2.18 hours. time per square root: 0.10 hours. Prototype def-par.txt line would be: gnfs,140,5,65,2000,1e-05,0.28,250,20,50000,3600,12900000,12900000,28,28,56,56,2.5,2.5,100000 total time: 47.32 hours. Intel64 Family 6 Model 94 Stepping 3, GenuineIntel processors: 8, speed: 2.81GHz 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) | |
40 | 3e6 | 2350 | Ignacio Santos | June 3, 2022 13:17:21 UTC 2022 年 6 月 3 日 (金) 22 時 17 分 21 秒 (日本時間) | |
45 | 11e6 | 4480 | Ignacio Santos | June 5, 2022 20:22:32 UTC 2022 年 6 月 6 日 (月) 5 時 22 分 32 秒 (日本時間) | |
50 | 43e6 | 6454 | 1886 | Ignacio Santos | June 19, 2022 14:19:09 UTC 2022 年 6 月 19 日 (日) 23 時 19 分 9 秒 (日本時間) |
4568 | Ignacio Santos | June 19, 2022 20:30:24 UTC 2022 年 6 月 20 日 (月) 5 時 30 分 24 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 | October 3, 2022 10:33:10 UTC 2022 年 10 月 3 日 (月) 19 時 33 分 10 秒 (日本時間) | |
45 | 11e6 | 1000 / 4038 | Dmitry Domanov | October 3, 2022 10:33:10 UTC 2022 年 10 月 3 日 (月) 19 時 33 分 10 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 | October 3, 2022 10:33:17 UTC 2022 年 10 月 3 日 (月) 19 時 33 分 17 秒 (日本時間) | |
45 | 11e6 | 1000 / 4038 | Dmitry Domanov | October 3, 2022 10:33:17 UTC 2022 年 10 月 3 日 (月) 19 時 33 分 17 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 07:29:56 UTC 2024 年 8 月 24 日 (土) 16 時 29 分 56 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 07:38:04 UTC 2024 年 8 月 24 日 (土) 16 時 38 分 4 秒 (日本時間) |
name 名前 | Markus Tervooren |
---|---|
date 日付 | May 30, 2022 18:54:45 UTC 2022 年 5 月 31 日 (火) 3 時 54 分 45 秒 (日本時間) |
composite number 合成数 | 12734356044131549459503091343790861056854526184828751277108853411671484306946362889044499940770721869048993983905259<116> |
prime factors 素因数 | 7705398111867148210753835651218861749366427<43> 1652653874498614288306721846741349424066286394798433485787593146773388017<73> |
factorization results 素因数分解の結果 | Info:Complete Factorization / Discrete logarithm: Linear Algebra Info:Linear Algebra: Total cpu/real time for bwc: 9160.96/216.42 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 2957.93, WCT time 117.01, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12672 iterations) Info:Linear Algebra: Lingen CPU time 4791.78, WCT time 43.58 Info:Linear Algebra: Mksol: CPU time 1350.52, WCT time 49.7, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6400 iterations) Info:Quadratic Characters: Starting Info:Complete Factorization / Discrete logarithm: Quadratic Characters Info:Quadratic Characters: Total cpu/real time for characters: 25.59/4.0056 Info:Square Root: Starting Info:Square Root: Creating file of (a,b) values Info:Square Root: finished Info:Square Root: Factors: 7705398111867148210753835651218861749366427 1652653874498614288306721846741349424066286394798433485787593146773388017 Info:Complete Factorization / Discrete logarithm: Square Root Info:Square Root: Total cpu/real time for sqrt: 642.62/34.0679 Info:HTTP server: Got notification to stop serving Workunits Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 155.36 Info:Polynomial Selection (root optimized): Rootsieve time: 154.74 Info:Generate Free Relations: Total cpu/real time for freerel: 84.41/3.26597 Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 23189.4 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 15857/34.150/41.096/46.190/1.063 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 12450/32.600/36.297/41.480/0.793 Info:Polynomial Selection (size optimized): Total time: 1087.95 Info:Quadratic Characters: Total cpu/real time for characters: 25.59/4.0056 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 48.65/17.1066 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 16.9s Info:Square Root: Total cpu/real time for sqrt: 642.62/34.0679 Info:Linear Algebra: Total cpu/real time for bwc: 9160.96/216.42 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 2957.93, WCT time 117.01, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12672 iterations) Info:Linear Algebra: Lingen CPU time 4791.78, WCT time 43.58 Info:Linear Algebra: Mksol: CPU time 1350.52, WCT time 49.7, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6400 iterations) Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 7315440 Info:Lattice Sieving: Average J: 1918.7 for 148042 special-q, max bucket fill -bkmult 1.0,1s:1.236290 Info:Lattice Sieving: Total time: 24545.4s Info:Filtering - Singleton removal: Total cpu/real time for purge: 56.98/18.4237 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 132.52/36.9184 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 29.4s Info:Filtering - Merging: Total cpu/real time for merge: 503.15/6.22385 Info:Filtering - Merging: Total cpu/real time for replay: 11.85/9.12134 Info:Generate Factor Base: Total cpu/real time for makefb: 4.31/0.2716 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 60035.4/838.388 Info:root: Cleaning up computation data in /tmp/cado.h9dflef3 7705398111867148210753835651218861749366427 1652653874498614288306721846741349424066286394798433485787593146773388017 |
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 | 2350 | Ignacio Santos | August 24, 2024 07:56:37 UTC 2024 年 8 月 24 日 (土) 16 時 56 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 24, 2024 08:03:22 UTC 2024 年 8 月 24 日 (土) 17 時 3 分 22 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 08:12:28 UTC 2024 年 8 月 24 日 (土) 17 時 12 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 | 1792 | Dmitry Domanov | October 3, 2022 10:33:23 UTC 2022 年 10 月 3 日 (月) 19 時 33 分 23 秒 (日本時間) | |
45 | 11e6 | 1000 / 4038 | Dmitry Domanov | October 3, 2022 10:33:23 UTC 2022 年 10 月 3 日 (月) 19 時 33 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 | 2350 | Ignacio Santos | August 24, 2024 08:33:05 UTC 2024 年 8 月 24 日 (土) 17 時 33 分 5 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 | October 13, 2022 05:22:04 UTC 2022 年 10 月 13 日 (木) 14 時 22 分 4 秒 (日本時間) | |
45 | 11e6 | 1000 / 4038 | Dmitry Domanov | October 13, 2022 05:22:04 UTC 2022 年 10 月 13 日 (木) 14 時 22 分 4 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 08:33:33 UTC 2024 年 8 月 24 日 (土) 17 時 33 分 33 秒 (日本時間) |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | September 1, 2022 17:14:14 UTC 2022 年 9 月 2 日 (金) 2 時 14 分 14 秒 (日本時間) |
composite number 合成数 | 1837079907627101459441977222136968372994843468444606238543273364339683141093129814030223151084474921023239778254328540790652590247428457434837228175127831267872776857495702699729759380450006786559167811<202> |
prime factors 素因数 | 23655406395857171300231892323946101347<38> |
composite cofactor 合成数の残り | 77660044257317588068005204208171685734050348387722369884834112601158085963348165032812506126589614431071000801095298267386588583887957572570138742543415290099754913<164> |
factorization results 素因数分解の結果 | Resuming ECM residue saved by @f92c91b240aa with GMP-ECM 7.0.5-dev on Sat Aug 27 18:35:54 2022 Input number is 1837079907627101459441977222136968372994843468444606238543273364339683141093129814030223151084474921023239778254328540790652590247428457434837228175127831267872776857495702699729759380450006786559167811 (202 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3022002724 Step 1 took 0ms Step 2 took 4807ms ********** Factor found in step 2: 23655406395857171300231892323946101347 Found prime factor of 38 digits: 23655406395857171300231892323946101347 Composite cofactor 77660044257317588068005204208171685734050348387722369884834112601158085963348165032812506126589614431071000801095298267386588583887957572570138742543415290099754913 has 164 digits |
name 名前 | Ignacio Santos |
---|---|
date 日付 | September 4, 2022 09:38:43 UTC 2022 年 9 月 4 日 (日) 18 時 38 分 43 秒 (日本時間) |
composite number 合成数 | 77660044257317588068005204208171685734050348387722369884834112601158085963348165032812506126589614431071000801095298267386588583887957572570138742543415290099754913<164> |
prime factors 素因数 | 32725994969699924407417680339756524193007<41> |
composite cofactor 合成数の残り | 2373038446324422905269628004753591542944420276359216720375116879706623186702261730399601230668711519528613094454710648552559<124> |
factorization results 素因数分解の結果 | Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:440618509 Step 1 took 26203ms Step 2 took 11891ms ********** Factor found in step 2: 32725994969699924407417680339756524193007 Found prime factor of 41 digits: 32725994969699924407417680339756524193007 Composite cofactor 2373038446324422905269628004753591542944420276359216720375116879706623186702261730399601230668711519528613094454710648552559 has 124 digits |
software ソフトウェア | GMP-ECM |
name 名前 | Eric Jeancolas |
---|---|
date 日付 | September 7, 2022 05:06:41 UTC 2022 年 9 月 7 日 (水) 14 時 6 分 41 秒 (日本時間) |
composite number 合成数 | 2373038446324422905269628004753591542944420276359216720375116879706623186702261730399601230668711519528613094454710648552559<124> |
prime factors 素因数 | 13990736587108488932689635155312077893389118179581<50> 169614975705497610594615090535526977217412782743416779463054748631321246939<75> |
factorization results 素因数分解の結果 | 2373038446324422905269628004753591542944420276359216720375116879706623186702261730399601230668711519528613094454710648552559=13990736587108488932689635155312077893389118179581*169614975705497610594615090535526977217412782743416779463054748631321246939 cado polynomial n: 2373038446324422905269628004753591542944420276359216720375116879706623186702261730399601230668711519528613094454710648552559 skew: 367047.733 c0: 7005389449728296155800588930648 c1: -107791240135485707121728194 c2: -44932665001717445325 c3: 1385284697707318 c4: 629125338 c5: 1080 Y0: -1457463298764413513446777 Y1: 5798506545617221 # MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.807e-07 # f(x) = 1080*x^5+629125338*x^4+1385284697707318*x^3-44932665001717445325*x^2-107791240135485707121728194*x+7005389449728296155800588930648 # g(x) = 5798506545617221*x-1457463298764413513446777 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: 169614975705497610594615090535526977217412782743416779463054748631321246939 13990736587108488932689635155312077893389118179581 Info:Square Root: Total cpu/real time for sqrt: 434.73/128.21 Info:Filtering - Singleton removal: Total cpu/real time for purge: 58.14/63.2845 Info:Filtering - Merging: Merged matrix has 699387 rows and total weight 119194190 (170.4 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 135.87/39.2063 Info:Filtering - Merging: Total cpu/real time for replay: 25.28/21.0349 Info:Generate Factor Base: Total cpu/real time for makefb: 8.25/2.27201 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 11620252 Info:Lattice Sieving: Average J: 3860.73 for 162679 special-q, max bucket fill -bkmult 1.0,1s:1.211000 Info:Lattice Sieving: Total time: 50806.3s Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 2433.63 Info:Polynomial Selection (root optimized): Rootsieve time: 2431.11 Info:Linear Algebra: Total cpu/real time for bwc: 7325.06/1884.91 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 4590.93, WCT time 1173.85, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (22016 iterations) Info:Linear Algebra: Lingen CPU time 121.99, WCT time 31.02 Info:Linear Algebra: Mksol: CPU time 2503.52, WCT time 640.41, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11008 iterations) 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): 20330/36.600/43.947/48.910/0.867 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15986/35.930/39.310/44.680/0.889 Info:Polynomial Selection (size optimized): Total time: 2016.75 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 126.08/109.769 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 97.19999999999999s Info:Generate Free Relations: Total cpu/real time for freerel: 130.64/34.3232 Info:Square Root: Total cpu/real time for sqrt: 434.73/128.21 Info:Quadratic Characters: Total cpu/real time for characters: 25.75/10.3555 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 50.51/51.9705 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 51.9s Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 107130/29222.4 Info:root: Cleaning up computation data in /tmp/cado.cgamkz0n 169614975705497610594615090535526977217412782743416779463054748631321246939 13990736587108488932689635155312077893389118179581 |
software ソフトウェア | cado-nfs-3.0.0 |
execution environment 実行環境 | Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs) |
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 | 4142 | 1792 | Dmitry Domanov | September 1, 2022 17:14:03 UTC 2022 年 9 月 2 日 (金) 2 時 14 分 3 秒 (日本時間) |
2350 | Ignacio Santos | September 3, 2022 07:50:21 UTC 2022 年 9 月 3 日 (土) 16 時 50 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 | 1792 | Dmitry Domanov | October 13, 2022 05:22:09 UTC 2022 年 10 月 13 日 (木) 14 時 22 分 9 秒 (日本時間) | |
45 | 11e6 | 1000 / 4038 | Dmitry Domanov | October 13, 2022 05:22:09 UTC 2022 年 10 月 13 日 (木) 14 時 22 分 9 秒 (日本時間) |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | September 1, 2022 17:15:03 UTC 2022 年 9 月 2 日 (金) 2 時 15 分 3 秒 (日本時間) |
composite number 合成数 | 13151703060826688290657930456161430248734616850723562492508029258559185607093581783244505906310884059076693891006027999093648677551654758486072399247399768186667607440464406656749200706594190737886290060471254102137357703585255108922009<236> |
prime factors 素因数 | 5198347756189831314948650424301466213<37> |
composite cofactor 合成数の残り | 2529977538568202578658144435345210455574239955309174199783972206254131881446526483255700522059456134510609844872888843152611462558774268467993746714609305357833600296114068415433325292572970140883493<199> |
factorization results 素因数分解の結果 | Resuming ECM residue saved by @f92c91b240aa with GMP-ECM 7.0.5-dev on Sat Aug 27 18:43:21 2022 Input number is 13151703060826688290657930456161430248734616850723562492508029258559185607093581783244505906310884059076693891006027999093648677551654758486072399247399768186667607440464406656749200706594190737886290060471254102137357703585255108922009 (236 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1376270937 Step 1 took 0ms Step 2 took 6098ms ********** Factor found in step 2: 5198347756189831314948650424301466213 Found prime factor of 37 digits: 5198347756189831314948650424301466213 Composite cofactor 2529977538568202578658144435345210455574239955309174199783972206254131881446526483255700522059456134510609844872888843152611462558774268467993746714609305357833600296114068415433325292572970140883493 has 199 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 | 1792 | Dmitry Domanov | September 1, 2022 17:14:49 UTC 2022 年 9 月 2 日 (金) 2 時 14 分 49 秒 (日本時間) | |
45 | 11e6 | 1000 / 4038 | Dmitry Domanov | October 13, 2022 05:22:13 UTC 2022 年 10 月 13 日 (木) 14 時 22 分 13 秒 (日本時間) |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | October 14, 2022 02:49:57 UTC 2022 年 10 月 14 日 (金) 11 時 49 分 57 秒 (日本時間) |
composite number 合成数 | 210432027660922105720991100024456866813075529031502809758003795418970319747754028803615746109872611443585762005354318390472476967348621437839829650056912000506826779827298257639189111<183> |
prime factors 素因数 | 48009767812598054837055087105898434689<38> |
composite cofactor 合成数の残り | 4383108630775411974263141955294262089765295608630796522047616689755664848845171870249589082329480792899450886039994974280170643296902328893374199<145> |
factorization results 素因数分解の結果 | Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1004422905 Step 1 took 83712ms Step 2 took 7502ms ********** Factor found in step 2: 48009767812598054837055087105898434689 Found prime factor of 38 digits: 48009767812598054837055087105898434689 Composite cofactor 4383108630775411974263141955294262089765295608630796522047616689755664848845171870249589082329480792899450886039994974280170643296902328893374199 has 145 digits |
name 名前 | Ignacio Santos |
---|---|
date 日付 | October 17, 2022 14:44:28 UTC 2022 年 10 月 17 日 (月) 23 時 44 分 28 秒 (日本時間) |
composite number 合成数 | 4383108630775411974263141955294262089765295608630796522047616689755664848845171870249589082329480792899450886039994974280170643296902328893374199<145> |
prime factors 素因数 | 55760517472563080866044968349934218097067623<44> 78605953270288733557530236385089506800921677621610268444805843328580767545003489365059977581536233713<101> |
factorization results 素因数分解の結果 | Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1355604345 Step 1 took 21813ms Step 2 took 10890ms ********** Factor found in step 2: 55760517472563080866044968349934218097067623 Found prime factor of 44 digits: 55760517472563080866044968349934218097067623 Prime cofactor 78605953270288733557530236385089506800921677621610268444805843328580767545003489365059977581536233713 has 101 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 | 1792 | Dmitry Domanov | October 13, 2022 05:22:18 UTC 2022 年 10 月 13 日 (木) 14 時 22 分 18 秒 (日本時間) | |
45 | 11e6 | 1000 / 4038 | Dmitry Domanov | October 13, 2022 05:22:18 UTC 2022 年 10 月 13 日 (木) 14 時 22 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 | 2204 | Thomas Kozlowski | September 27, 2024 15:37:33 UTC 2024 年 9 月 28 日 (土) 0 時 37 分 33 秒 (日本時間) |
name 名前 | Thomas Kozlowski |
---|---|
date 日付 | September 27, 2024 18:57:15 UTC 2024 年 9 月 28 日 (土) 3 時 57 分 15 秒 (日本時間) |
composite number 合成数 | 858229642401081757418481057416533249271605576761290589317936544291328813373635797340488132661705203789613734719127931218043539407703633453254134409359270376442656043127009703293594315743580983332657943919095960298147485196844670211080461118577709<246> |
prime factors 素因数 | 4753855716832670228460407769878893053461573<43> 180533380380524150163816270836610954627057268177049305243336724228464613566202114682241396254114218864054288374836403431396527280068277248799390659140539674390248927905074025823531621221138873057077074633<204> |
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 858229642401081757418481057416533249271605576761290589317936544291328813373635797340488132661705203789613734719127931218043539407703633453254134409359270376442656043127009703293594315743580983332657943919095960298147485196844670211080461118577709 (246 digits) Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:778823480 Step 1 took 15412ms Step 2 took 4862ms Run 2 out of 0: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4021296823 Step 1 took 11855ms Step 2 took 4875ms Run 3 out of 0: ... Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3164784395 Step 1 took 11824ms Step 2 took 4852ms Run 45 out of 0: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4047221885 Step 1 took 11835ms Step 2 took 4869ms ** Factor found in step 2: 4753855716832670228460407769878893053461573 Found prime factor of 43 digits: 4753855716832670228460407769878893053461573 Prime cofactor 180533380380524150163816270836610954627057268177049305243336724228464613566202114682241396254114218864054288374836403431396527280068277248799390659140539674390248927905074025823531621221138873057077074633 has 204 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 | 1792 | Dmitry Domanov | October 3, 2022 10:33:30 UTC 2022 年 10 月 3 日 (月) 19 時 33 分 30 秒 (日本時間) | |
45 | 11e6 | 1000 / 4038 | Dmitry Domanov | October 3, 2022 10:33:30 UTC 2022 年 10 月 3 日 (月) 19 時 33 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 | 1792 | Dmitry Domanov | October 13, 2022 05:22:25 UTC 2022 年 10 月 13 日 (木) 14 時 22 分 25 秒 (日本時間) | |
45 | 11e6 | 1000 / 4038 | Dmitry Domanov | October 13, 2022 05:22:25 UTC 2022 年 10 月 13 日 (木) 14 時 22 分 25 秒 (日本時間) |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | September 1, 2022 17:15:37 UTC 2022 年 9 月 2 日 (金) 2 時 15 分 37 秒 (日本時間) |
composite number 合成数 | 2343206982589355933744626250461462898977003223694892821149710574219106338530613847549602105085294012711892309304551204136858449372249300878096441808851755630563670913171317685216777705770462160387661295393610937893789082149385124073566246699<241> |
prime factors 素因数 | 138853194778090335066738420961389013070291<42> |
composite cofactor 合成数の残り | 16875427218899617927382101418095668547403986664838548324138688526824426063592086675654360743154451137915378370057090606717217084053889744472055892640410801100669282527116784710088257054301251392738889<200> |
factorization results 素因数分解の結果 | Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1376270938 Resuming ECM residue saved by @f92c91b240aa with GMP-ECM 7.0.5-dev on Sat Aug 27 19:04:07 2022 Input number is 2343206982589355933744626250461462898977003223694892821149710574219106338530613847549602105085294012711892309304551204136858449372249300878096441808851755630563670913171317685216777705770462160387661295393610937893789082149385124073566246699 (241 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4149196745 Step 1 took 1ms Step 2 took 6094ms ********** Factor found in step 2: 138853194778090335066738420961389013070291 Found prime factor of 42 digits: 138853194778090335066738420961389013070291 Composite cofactor 16875427218899617927382101418095668547403986664838548324138688526824426063592086675654360743154451137915378370057090606717217084053889744472055892640410801100669282527116784710088257054301251392738889 has 200 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 | 2192 | 1792 | Dmitry Domanov | September 1, 2022 17:15:26 UTC 2022 年 9 月 2 日 (金) 2 時 15 分 26 秒 (日本時間) |
400 | Thomas Kozlowski | September 27, 2024 15:52:38 UTC 2024 年 9 月 28 日 (土) 0 時 52 分 38 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 16:03:17 UTC 2024 年 9 月 28 日 (土) 1 時 3 分 17 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 | 2208 | Thomas Kozlowski | September 27, 2024 16:19:09 UTC 2024 年 9 月 28 日 (土) 1 時 19 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 | 2350 | Ignacio Santos | June 4, 2022 10:37:39 UTC 2022 年 6 月 4 日 (土) 19 時 37 分 39 秒 (日本時間) | |
45 | 11e6 | 4480 | Ignacio Santos | June 7, 2022 19:19:07 UTC 2022 年 6 月 8 日 (水) 4 時 19 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 | 2201 | Thomas Kozlowski | September 27, 2024 16:36:45 UTC 2024 年 9 月 28 日 (土) 1 時 36 分 45 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 16:50:36 UTC 2024 年 9 月 28 日 (土) 1 時 50 分 36 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 | 2206 | Thomas Kozlowski | September 27, 2024 17:06:33 UTC 2024 年 9 月 28 日 (土) 2 時 6 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 | 1792 | Dmitry Domanov | October 13, 2022 05:22:30 UTC 2022 年 10 月 13 日 (木) 14 時 22 分 30 秒 (日本時間) | |
45 | 11e6 | 1000 / 4038 | Dmitry Domanov | October 13, 2022 05:22:30 UTC 2022 年 10 月 13 日 (木) 14 時 22 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 | 2202 | Thomas Kozlowski | September 27, 2024 17:24:06 UTC 2024 年 9 月 28 日 (土) 2 時 24 分 6 秒 (日本時間) |
name 名前 | Seth Troisi |
---|---|
date 日付 | January 3, 2024 22:31:40 UTC 2024 年 1 月 4 日 (木) 7 時 31 分 40 秒 (日本時間) |
composite number 合成数 | 78424696939735899892121446715848608408030379368416004464609280170685249975111105211679171476169602801962040221798660392242781931869861179898468447078146308261659254207450684351362962597629900029224838321378795932365057664101052940015091116654656577411703<254> |
prime factors 素因数 | 501833346224699945415734599188794254249073816054295913096772683<63> |
composite cofactor 合成数の残り | 156276376469850225197225754347189328344936650113312565130574990569785634031676080256249782598510679789798281745842051616797902588136290619748166704393538845850364864723732588484150393588999941<192> |
factorization results 素因数分解の結果 | GMP-ECM 7.0.6-dev [configured with GMP 6.2.0, --enable-asm-redc, --enable-openmp] [ECM] Running on four Resuming P-1 residue saved by five@five with GMP-ECM 7.0.6-dev on Thu Nov 30 08:52:16 2023 Input number is 78424696939735899892121446715848608408030379368416004464609280170685249975111105211679171476169602801962040221 798660392242781931869861179898468447078146308261659254207450684351362962597629900029224838321378795932365057664101052940015091 116654656577411703 (254 digits) Using mpz_mod Using lmax = 67108864 with NTT which takes about 23808MB of memory Using B1=10000000000-10000000000, B2=13494038602573560, polynomial x^1 P = 198843645, l = 67108864, s_1 = 33177600, k = s_2 = 2, m_1 = 20 Probability of finding a factor of n digits (assuming one exists): 20 25 30 35 40 45 50 55 60 65 0.82 0.56 0.31 0.14 0.057 0.02 0.0066 0.002 0.00053 0.00014 Step 1 took 0ms Computing F from factored S_1 took 552760ms (107684ms real) Computing h using 7 threads took 78485ms (12456ms real) Computing DCT-I of h (0) using 2147483647 threads took 149275ms (26510ms real) Multi-point evaluation 1 of 2: Computing g_i using 7 threads took 269275ms (42858ms real) Computing g*h (A) using 2147483647 threads took 308565ms (51963ms real) Computing gcd of coefficients and N using 7 threads took 67649ms (10043ms real) Multi-point evaluation 2 of 2: Computing g_i using 7 threads took 266173ms (42196ms real) Computing g*h (A) using 2147483647 threads took 308920ms (51888ms real) Computing gcd of coefficients and N using 7 threads took 67612ms (9969ms real) Step 2 took 2072407ms (361691ms real) ********** Factor found in step 2: 501833346224699945415734599188794254249073816054295913096772683 Found prime factor of 63 digits: 501833346224699945415734599188794254249073816054295913096772683 Composite cofactor 156276376469850225197225754347189328344936650113312565130574990569785634031676080256249782598510679789798281745842051616797902588136290619748166704393538845850364864723732588484150393588999941 has 192 digits Report your potential champion to Paul Zimmermann <zimmerma@loria.fr> (see http://www.loria.fr/~zimmerma/records/Pminus1.html) Peak memory usage: 28077MB |
software ソフトウェア | ecm-db 0.1, gmp-ecm 7.0.6-dev |
execution environment 実行環境 | 1080 TI for stage 1 |
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 27, 2024 05:50:21 UTC 2024 年 9 月 27 日 (金) 14 時 50 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 | 2200 | Thomas Kozlowski | September 27, 2024 17:48:40 UTC 2024 年 9 月 28 日 (土) 2 時 48 分 40 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 18:04:28 UTC 2024 年 9 月 28 日 (土) 3 時 4 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 | 2201 | Thomas Kozlowski | September 27, 2024 18:22:00 UTC 2024 年 9 月 28 日 (土) 3 時 22 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 18:34:13 UTC 2024 年 9 月 28 日 (土) 3 時 34 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 | 2207 | Thomas Kozlowski | September 27, 2024 18:50:01 UTC 2024 年 9 月 28 日 (土) 3 時 50 分 1 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 19:07:33 UTC 2024 年 9 月 28 日 (土) 4 時 7 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 19:21:27 UTC 2024 年 9 月 28 日 (土) 4 時 21 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 | 2350 | Ignacio Santos | June 4, 2022 11:26:55 UTC 2022 年 6 月 4 日 (土) 20 時 26 分 55 秒 (日本時間) | |
45 | 11e6 | 4480 | Ignacio Santos | June 8, 2022 10:18:20 UTC 2022 年 6 月 8 日 (水) 19 時 18 分 20 秒 (日本時間) | |
50 | 43e6 | 3584 / 6453 | 1792 | Dmitry Domanov | April 25, 2024 23:28:49 UTC 2024 年 4 月 26 日 (金) 8 時 28 分 49 秒 (日本時間) |
1792 | Dmitry Domanov | April 26, 2024 20:08:06 UTC 2024 年 4 月 27 日 (土) 5 時 8 分 6 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 19:37:11 UTC 2024 年 9 月 28 日 (土) 4 時 37 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 | 2204 | Thomas Kozlowski | September 27, 2024 19:54:48 UTC 2024 年 9 月 28 日 (土) 4 時 54 分 48 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 20:12:31 UTC 2024 年 9 月 28 日 (土) 5 時 12 分 31 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 20:32:08 UTC 2024 年 9 月 28 日 (土) 5 時 32 分 8 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 20:46:02 UTC 2024 年 9 月 28 日 (土) 5 時 46 分 2 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 21:03:37 UTC 2024 年 9 月 28 日 (土) 6 時 3 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 | 2200 | Thomas Kozlowski | September 27, 2024 21:21:09 UTC 2024 年 9 月 28 日 (土) 6 時 21 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 21:41:17 UTC 2024 年 9 月 28 日 (土) 6 時 41 分 17 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 21:57:05 UTC 2024 年 9 月 28 日 (土) 6 時 57 分 5 秒 (日本時間) |
name 名前 | Thomas Kozlowski |
---|---|
date 日付 | September 27, 2024 22:00:13 UTC 2024 年 9 月 28 日 (土) 7 時 0 分 13 秒 (日本時間) |
composite number 合成数 | 1873178737426540392164086178122072347738482397915093963348140150372593356619141408331652936474005712362195671084149519523879802273030216431441185484122025447451386411007577277318399522434147262233908755103397585888593670059360256025440263<238> |
prime factors 素因数 | 65906056884193391793890625387998208092609<41> 28421951274038290104500859755410674678677214768388599413052973817502552898940814558747843902714545345416931571443340959478681269654393118692326343549423035207499143195319295668820013062121948888007<197> |
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 1873178737426540392164086178122072347738482397915093963348140150372593356619141408331652936474005712362195671084149519523879802273030216431441185484122025447451386411007577277318399522434147262233908755103397585888593670059360256025440263 (238 digits) Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3658777605 Step 1 took 13217ms Step 2 took 4807ms Run 2 out of 0: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3433678957 Step 1 took 11783ms Step 2 took 4790ms Run 3 out of 0: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:738106905 Step 1 took 11905ms Step 2 took 4799ms Run 4 out of 0: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:715525086 Step 1 took 11795ms Step 2 took 4801ms Run 5 out of 0: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3363419317 Step 1 took 11757ms Step 2 took 4797ms ** Factor found in step 2: 65906056884193391793890625387998208092609 Found prime factor of 41 digits: 65906056884193391793890625387998208092609 Prime cofactor 28421951274038290104500859755410674678677214768388599413052973817502552898940814558747843902714545345416931571443340959478681269654393118692326343549423035207499143195319295668820013062121948888007 has 197 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) |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | September 1, 2022 17:16:44 UTC 2022 年 9 月 2 日 (金) 2 時 16 分 44 秒 (日本時間) |
composite number 合成数 | 73295731761698088970997972517854339337570081251538822018807453759861351834133715460885647623842861704053558417994494456929436032621751817462326310951187982825906552100855800182760879460917579204020387927337750493537511195233980081024193<236> |
prime factors 素因数 | 4439878043391204705172182121451632294457<40> |
composite cofactor 合成数の残り | 16508501144710358353383024606356719641644772265067982469453434159704094123077369518200552191730277268186659272781529581080755172987644430398546366502521884177557173079159389500386745050046405109449<197> |
factorization results 素因数分解の結果 | Resuming ECM residue saved by @f92c91b240aa with GMP-ECM 7.0.5-dev on Sat Aug 27 20:49:35 2022 Input number is 73295731761698088970997972517854339337570081251538822018807453759861351834133715460885647623842861704053558417994494456929436032621751817462326310951187982825906552100855800182760879460917579204020387927337750493537511195233980081024193 (236 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1692621688 Step 1 took 0ms Step 2 took 6157ms ********** Factor found in step 2: 4439878043391204705172182121451632294457 Found prime factor of 40 digits: 4439878043391204705172182121451632294457 Composite cofactor 16508501144710358353383024606356719641644772265067982469453434159704094123077369518200552191730277268186659272781529581080755172987644430398546366502521884177557173079159389500386745050046405109449 has 197 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 | 4142 | 1792 | Dmitry Domanov | September 1, 2022 17:16:28 UTC 2022 年 9 月 2 日 (金) 2 時 16 分 28 秒 (日本時間) |
2350 | Ignacio Santos | September 3, 2022 08:01:07 UTC 2022 年 9 月 3 日 (土) 17 時 1 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 | 2201 | Thomas Kozlowski | September 27, 2024 22:14:20 UTC 2024 年 9 月 28 日 (土) 7 時 14 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 | 2201 | Thomas Kozlowski | September 27, 2024 22:34:04 UTC 2024 年 9 月 28 日 (土) 7 時 34 分 4 秒 (日本時間) |