Contributed factorization results of 22...22722...22

Table of contents 目次

2×10¹²⁵+45×10⁶²-29
- c117
- ECM
2×10¹⁵⁵+45×10⁷⁷-29
- c144
- ECM
2×10¹⁶³+45×10⁸¹-29
- c147
- ECM
2×10¹⁶⁷+45×10⁸³-29
- c124
- ECM
2×10¹⁷³+45×10⁸⁶-29
- c169
- ECM
2×10¹⁷⁵+45×10⁸⁷-29
- c150
- ECM
2×10¹⁷⁷+45×10⁸⁸-29
- c167
- ECM
2×10¹⁷⁹+45×10⁸⁹-29
- c159
- ECM
2×10¹⁸³+45×10⁹¹-29
- c167
- ECM
2×10¹⁸⁵+45×10⁹²-29
- c120
- ECM
2×10¹⁹¹+45×10⁹⁵-29
- c188
- ECM
2×10¹⁹⁹+45×10⁹⁹-29
- c175
- ECM
2×10²⁰³+45×10¹⁰¹-29
- c181
- ECM
2×10²⁰⁵+45×10¹⁰²-29
- c181
- ECM
2×10²¹¹+45×10¹⁰⁵-29
- c191
- ECM
2×10²¹³+45×10¹⁰⁶-29
- c164
- ECM
2×10²¹⁵+45×10¹⁰⁷-29
- c214
- ECM
2×10²²³+45×10¹¹¹-29
- c223
- ECM
2×10²²⁹+45×10¹¹⁴-29
- c165
- ECM
2×10²³³+45×10¹¹⁶-29
- c224
- ECM
2×10²³⁵+45×10¹¹⁷-29
- c232
- ECM
2×10²³⁷+45×10¹¹⁸-29
- c186
- ECM
2×10²³⁹+45×10¹¹⁹-29
- c209
- ECM
2×10²⁴¹+45×10¹²⁰-29
- c181
- ECM
2×10²⁴³+45×10¹²¹-29
- c204
- ECM
2×10²⁴⁹+45×10¹²⁴-29
- c185
- ECM
2×10²⁵³+45×10¹²⁶-29
- c247
- ECM
2×10²⁵⁵+45×10¹²⁷-29
- c214
- ECM
2×10²⁵⁷+45×10¹²⁸-29
- c233
- ECM
2×10²⁵⁹+45×10¹²⁹-29
- c250
- ECM
2×10²⁶³+45×10¹³¹-29
- c239
- ECM
2×10²⁶⁹+45×10¹³⁴-29
- c264
- ECM
2×10²⁷¹+45×10¹³⁵-29
- c262
- ECM
2×10²⁷³+45×10¹³⁶-29
- c250
- c215
- ECM
2×10²⁷⁹+45×10¹³⁹-29
- c212
- ECM
2×10²⁸¹+45×10¹⁴⁰-29
- c250
- ECM
2×10²⁸³+45×10¹⁴¹-29
- c255
- ECM
2×10²⁸⁵+45×10¹⁴²-29
- c270
- ECM
2×10²⁸⁹+45×10¹⁴⁴-29
- c269
- ECM
2×10²⁹¹+45×10¹⁴⁵-29
- c269
- ECM
2×10²⁹³+45×10¹⁴⁶-29
- c281
- ECM
2×10²⁹⁵+45×10¹⁴⁷-29
- c235
- ECM
2×10²⁹⁷+45×10¹⁴⁸-29
- c285
- c242
- ECM
2×10²⁹⁹+45×10¹⁴⁹-29
- c270
- ECM

2×10¹²⁵+45×10⁶²-29

c117

name 名前	Dmitry Domanov
date 日付	September 14, 2021 14:33:23 UTC 2021 年 9 月 14 日 (火) 23 時 33 分 23 秒 (日本時間)
composite number 合成数	163757869206318026850909466254036793186831580600926433616259936497940727600154284148956994116361530651812308256627387<117>
prime factors 素因数	40889096539616411288156812528351277624880963505663<50> 4004927549515728963833288406917475286373002500086181134296611777349<67>
factorization results 素因数分解の結果	N=163757869206318026850909466254036793186831580600926433616259936497940727600154284148956994116361530651812308256627387 ( 117 digits) SNFS difficulty: 125 digits. Divisors found: p50 factor: 40889096539616411288156812528351277624880963505663 p67 factor: 4004927549515728963833288406917475286373002500086181134296611777349 Version: Msieve v. 1.54 (SVN 1043M) Total time: 1.14 hours. Scaled time: 0.00 units (timescale=0.000). Factorization parameters were as follows: n: 163757869206318026850909466254036793186831580600926433616259936497940727600154284148956994116361530651812308256627387 m: 10000000000000000000000000000000 deg: 4 c4: 20 c2: 45 c0: -2 skew: 0.56 # Murphy_E = 2.856e-08 type: snfs lss: 1 rlim: 860000 alim: 860000 lpbr: 26 lpba: 26 mfbr: 46 mfba: 46 rlambda: 2.3 alambda: 2.3 Factor base limits: 860000/860000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 46/46 Sieved rational special-q in [430000, 730001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 80586 x 80811 Total sieving time: 1.12 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.01 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,125.000,4,0,0,0,0,0,0,0,0,860000,860000,26,26,46,46,2.3,2.3,75000 total time: 1.14 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	September 14, 2021 13:00:00 UTC 2021 年 9 月 14 日 (火) 22 時 0 分 0 秒 (日本時間)

2×10¹⁵⁵+45×10⁷⁷-29

c144

name 名前	Dmitry Domanov
date 日付	September 14, 2021 22:38:04 UTC 2021 年 9 月 15 日 (水) 7 時 38 分 4 秒 (日本時間)
composite number 合成数	395860143849539328556857752893749609485427826709897554933880183279805944310435372650291419595910406946720331550149610924162518244143466686008957<144>
prime factors 素因数	302199431404558749573390831684784294309<39> 1309930141197372501358394147827063683277484955899930371646050684858305904814891090612827601368914440071673<106>
factorization results 素因数分解の結果	N=395860143849539328556857752893749609485427826709897554933880183279805944310435372650291419595910406946720331550149610924162518244143466686008957 ( 144 digits) SNFS difficulty: 155 digits. Divisors found: p39 factor: 302199431404558749573390831684784294309 p106 factor: 1309930141197372501358394147827063683277484955899930371646050684858305904814891090612827601368914440071673 Version: Msieve v. 1.54 (SVN 1043M) Total time: 24.61 hours. Scaled time: 0.00 units (timescale=0.000). Factorization parameters were as follows: n: 395860143849539328556857752893749609485427826709897554933880183279805944310435372650291419595910406946720331550149610924162518244143466686008957 m: 500000000000000000000000000000000000000 deg: 4 c4: 8 c2: 45 c0: -5 skew: 0.89 # Murphy_E = 7.88e-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 rational special-q in [1400000, 3200001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 416943 x 417169 Total sieving time: 24.43 hours. Total relation processing time: 0.05 hours. Matrix solve time: 0.11 hours. Time per square root: 0.02 hours. Prototype def-par.txt line would be: snfs,155.000,4,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000 total time: 24.61 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	September 14, 2021 13:00:00 UTC 2021 年 9 月 14 日 (火) 22 時 0 分 0 秒 (日本時間)

2×10¹⁶³+45×10⁸¹-29

c147

name 名前	Eric Jeancolas
date 日付	September 15, 2021 13:37:01 UTC 2021 年 9 月 15 日 (水) 22 時 37 分 1 秒 (日本時間)
composite number 合成数	136440830894452865491730785121318936330752813792137853899253918754598697631578015644330945377424134028325500274731773575035037500603480960105222083<147>
prime factors 素因数	9138027812376611771013853655416200947415416493642143637096409<61> 14931102607244903020396575962355959428019822540638424934789903126593879423162309070587<86>
factorization results 素因数分解の結果	136440830894452865491730785121318936330752813792137853899253918754598697631578015644330945377424134028325500274731773575035037500603480960105222083=913802781237661177101385365541620094741541649364214363709640914931102607244903020396575962355959428019822540638424934789903126593879423162309070587 cado polynomial n: 136440830894452865491730785121318936330752813792137853899253918754598697631578015644330945377424134028325500274731773575035037500603480960105222083 skew: 0.89 type: snfs c0: -5 c2: 45 c4: 8 Y0: 50000000000000000000000000000000000000000 Y1: -1 # f(x) = 8x^4+45*x^2-5 # g(x) = -x+5000000000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 3700000 tasks.lim1 = 3700000 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: 14931102607244903020396575962355959428019822540638424934789903126593879423162309070587 9138027812376611771013853655416200947415416493642143637096409 Info:Square Root: Total cpu/real time for sqrt: 131.09/42.9662 Info:Filtering - Singleton removal: Total cpu/real time for purge: 49.6/51.8674 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 11619155 Info:Lattice Sieving: Average J: 1884.27 for 759396 special-q, max bucket fill -bkmult 1.0,1s:1.234530 Info:Lattice Sieving: Total time: 77709.4s Info:Generate Factor Base: Total cpu/real time for makefb: 2.33/1.30759 Info:Linear Algebra: Total cpu/real time for bwc: 7312.06/1882.42 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 4590.99, WCT time 1175.19, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (21760 iterations) Info:Linear Algebra: Lingen CPU time 119.68, WCT time 30.46 Info:Linear Algebra: Mksol: CPU time 2494.33, WCT time 637.17, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11008 iterations) Info:Generate Free Relations: Total cpu/real time for freerel: 87.78/23.8604 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 46.61/51.6823 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 51.6s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 104.81/89.6785 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 80.2s Info:Filtering - Merging: Merged matrix has 691057 rows and total weight 117859316 (170.5 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 145.54/40.9337 Info:Filtering - Merging: Total cpu/real time for replay: 23.69/19.8141 Info:Quadratic Characters: Total cpu/real time for characters: 22.94/9.28441 Info:Square Root: Total cpu/real time for sqrt: 131.09/42.9662 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 150659/41259 Info:root: Cleaning up computation data in /tmp/cado.eyld2h0z 14931102607244903020396575962355959428019822540638424934789903126593879423162309070587 9138027812376611771013853655416200947415416493642143637096409
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic\|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	September 14, 2021 13:00:00 UTC 2021 年 9 月 14 日 (火) 22 時 0 分 0 秒 (日本時間)

2×10¹⁶⁷+45×10⁸³-29

c124

name 名前	ivelive
date 日付	September 14, 2021 19:34:55 UTC 2021 年 9 月 15 日 (水) 4 時 34 分 55 秒 (日本時間)
composite number 合成数	1284325641838993830287661210824005456844892668026304801827088748595616035292330938476457408024363365252710482355525406725959<124>
prime factors 素因数	42975049448664328088827171908675710654903135454885139<53> 29885379035414021882411516972089846002477333597593877383883860339392381<71>
factorization results 素因数分解の結果	09/14/21 00:09:03 v1.34.5 @ DESKTOP-RJPVCOL, Starting factorization of 1284325641838993830287661210824005456844892668026304801827088748595616035292330938476457408024363365252710482355525406725959 09/14/21 00:09:03 v1.34.5 @ DESKTOP-RJPVCOL, using pretesting plan: noecm 09/14/21 00:09:03 v1.34.5 @ DESKTOP-RJPVCOL, using tune info for qs/gnfs crossover 09/14/21 00:09:03 v1.34.5 @ DESKTOP-RJPVCOL, **************************** 09/14/21 00:09:03 v1.34.5 @ DESKTOP-RJPVCOL, rho: x^2 + 3, starting 1000 iterations on C124 09/14/21 00:09:03 v1.34.5 @ DESKTOP-RJPVCOL, rho: x^2 + 2, starting 1000 iterations on C124 09/14/21 00:09:03 v1.34.5 @ DESKTOP-RJPVCOL, rho: x^2 + 1, starting 1000 iterations on C124 09/14/21 00:09:03 v1.34.5 @ DESKTOP-RJPVCOL, pm1: starting B1 = 150K, B2 = gmp-ecm default on C124 09/14/21 00:09:03 v1.34.5 @ DESKTOP-RJPVCOL, final ECM pretested depth: 0.00 09/14/21 00:09:03 v1.34.5 @ DESKTOP-RJPVCOL, scheduler: switching to sieve method 09/14/21 00:09:03 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing nfs on c124: 1284325641838993830287661210824005456844892668026304801827088748595616035292330938476457408024363365252710482355525406725959 09/14/21 00:09:03 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing poly selection with 8 threads 09/14/21 00:09:03 v1.34.5 @ DESKTOP-RJPVCOL, nfs: setting deadline of 2858 seconds 09/14/21 00:56:34 v1.34.5 @ DESKTOP-RJPVCOL, nfs: completed 66 ranges of size 250 in 2851.0298 seconds 09/14/21 00:56:34 v1.34.5 @ DESKTOP-RJPVCOL, nfs: best poly = # norm 8.682818e-012 alpha -5.821359 e 1.855e-010 rroots 3 09/14/21 00:56:34 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 01:01:12 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 01:06:03 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 01:10:51 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 01:15:30 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 01:20:10 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 01:24:50 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 01:29:49 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 01:34:30 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 01:39:12 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 01:44:09 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 01:49:06 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 01:53:49 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 01:58:45 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 02:03:41 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 02:08:16 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 02:13:16 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 02:17:48 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 02:22:45 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 02:27:28 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 02:32:18 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 02:37:19 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 02:42:04 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 02:47:07 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 02:52:10 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 02:57:15 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 03:02:12 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 03:06:54 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 03:11:52 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 03:16:47 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 03:21:33 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 03:26:34 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 03:31:27 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 03:36:22 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 03:41:15 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 03:46:04 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 03:50:55 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 03:55:51 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 04:00:53 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 04:05:49 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 04:10:42 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 04:15:49 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 04:20:39 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 04:25:26 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 04:30:20 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 04:35:26 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 04:40:14 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 04:45:28 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 04:50:28 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 04:55:30 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 05:00:19 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 05:05:25 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 05:10:29 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 05:15:20 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 05:20:18 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 05:25:23 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 05:30:33 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 05:35:57 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 05:40:46 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 05:45:55 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 05:50:52 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 05:56:18 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering 09/14/21 05:57:44 v1.34.5 @ DESKTOP-RJPVCOL, nfs: raising min_rels by 5.00 percent to 10703333 09/14/21 05:57:44 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 06:02:52 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 06:08:03 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 06:13:27 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 06:18:27 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering 09/14/21 06:19:54 v1.34.5 @ DESKTOP-RJPVCOL, nfs: raising min_rels by 5.00 percent to 11400135 09/14/21 06:19:54 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 06:24:54 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 06:29:54 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 06:34:47 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 06:39:48 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering 09/14/21 06:41:50 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve linear algebra 09/14/21 06:53:08 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve sqrt 09/14/21 06:54:29 v1.34.5 @ DESKTOP-RJPVCOL, prp71 = 29885379035414021882411516972089846002477333597593877383883860339392381 09/14/21 06:54:29 v1.34.5 @ DESKTOP-RJPVCOL, prp53 = 42975049448664328088827171908675710654903135454885139 09/14/21 06:54:29 v1.34.5 @ DESKTOP-RJPVCOL, NFS elapsed time = 24325.9506 seconds.

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	September 14, 2021 13:00:00 UTC 2021 年 9 月 14 日 (火) 22 時 0 分 0 秒 (日本時間)

2×10¹⁷³+45×10⁸⁶-29

c169

name 名前	Eric Jeancolas
date 日付	September 15, 2021 22:08:44 UTC 2021 年 9 月 16 日 (木) 7 時 8 分 44 秒 (日本時間)
composite number 合成数	3458173392813915689732683196735484317183663588892347062281702804578621572085624373206150361379119549054189577065394058858111145692845039250268008437943078465954282947747<169>
prime factors 素因数	48377239318560943345980057983610681562441<41> 71483479452849118602657038199043048142759396447475125597324050497079134871678304496687172838954973647741477599347411124621936267<128>
factorization results 素因数分解の結果	3458173392813915689732683196735484317183663588892347062281702804578621572085624373206150361379119549054189577065394058858111145692845039250268008437943078465954282947747=4837723931856094334598005798361068156244171483479452849118602657038199043048142759396447475125597324050497079134871678304496687172838954973647741477599347411124621936267 cado polynomial n: 3458173392813915689732683196735484317183663588892347062281702804578621572085624373206150361379119549054189577065394058858111145692845039250268008437943078465954282947747 skew: 0.56 type: snfs c0: -2 c2: 45 c4: 20 Y0: 10000000000000000000000000000000000000000000 Y1: -1 # f(x) = 20x^4+45*x^2-2 # g(x) = -x+1000000000000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 5400000 tasks.lim1 = 5400000 tasks.lpb0 = 27 tasks.lpb1 = 27 tasks.sieve.mfb0 = 52 tasks.sieve.mfb1 = 52 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: 71483479452849118602657038199043048142759396447475125597324050497079134871678304496687172838954973647741477599347411124621936267 48377239318560943345980057983610681562441 Info:Square Root: Total cpu/real time for sqrt: 478.66/150.857 Info:Filtering - Singleton removal: Total cpu/real time for purge: 170.76/203.605 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 14254318 Info:Lattice Sieving: Average J: 1884.77 for 1952406 special-q, max bucket fill -bkmult 1.0,1s:1.225980 Info:Lattice Sieving: Total time: 223091s Info:Generate Factor Base: Total cpu/real time for makefb: 3.37/1.80736 Info:Linear Algebra: Total cpu/real time for bwc: 24216.4/6212.96 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 15421.78, WCT time 3942.37, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (38656 iterations) Info:Linear Algebra: Lingen CPU time 233.91, WCT time 59.31 Info:Linear Algebra: Mksol: CPU time 8349.39, WCT time 2132.19, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (19456 iterations) Info:Generate Free Relations: Total cpu/real time for freerel: 87.35/23.5684 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 59.84/68.8655 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 68.2s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 227.58/232.922 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 183.9s Info:Filtering - Merging: Merged matrix has 1230022 rows and total weight 209224038 (170.1 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 294.46/82.1439 Info:Filtering - Merging: Total cpu/real time for replay: 45.1/37.9665 Info:Quadratic Characters: Total cpu/real time for characters: 41.58/17.1506 Info:Square Root: Total cpu/real time for sqrt: 478.66/150.857 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 445286/69766.1 Info:root: Cleaning up computation data in /tmp/cado.70ef4sw0 71483479452849118602657038199043048142759396447475125597324050497079134871678304496687172838954973647741477599347411124621936267 48377239318560943345980057983610681562441
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic\|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	September 14, 2021 13:00:00 UTC 2021 年 9 月 14 日 (火) 22 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	September 15, 2021 18:50:11 UTC 2021 年 9 月 16 日 (木) 3 時 50 分 11 秒 (日本時間)

2×10¹⁷⁵+45×10⁸⁷-29

c150

name 名前	Eric Jeancolas
date 日付	September 15, 2021 22:14:05 UTC 2021 年 9 月 16 日 (木) 7 時 14 分 5 秒 (日本時間)
composite number 合成数	831918196024686444173118692944843807555389309169342130416177028952463284541628392053590401688450789864098051917553287908357970541505704796759108801017<150>
prime factors 素因数	7945638092237064071696846340446289374852749051638849346575897086050897<70> 104701244427112215981042284958797625949379203697226790374607977433257985753137961<81>
factorization results 素因数分解の結果	831918196024686444173118692944843807555389309169342130416177028952463284541628392053590401688450789864098051917553287908357970541505704796759108801017=1047012444271122159810422849587976259493792036972267903746079774332579857531379617945638092237064071696846340446289374852749051638849346575897086050897 cado polynomial n: 831918196024686444173118692944843807555389309169342130416177028952463284541628392053590401688450789864098051917553287908357970541505704796759108801017 skew: 0.68 type: snfs c0: -2 c3: 45 c6: 20 Y0: 100000000000000000000000000000 Y1: -1 # f(x) = 20x^6+45*x^3-2 # g(x) = -x+10000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 5800000 tasks.lim1 = 5800000 tasks.lpb0 = 28 tasks.lpb1 = 28 tasks.sieve.mfb0 = 52 tasks.sieve.mfb1 = 52 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: 104701244427112215981042284958797625949379203697226790374607977433257985753137961 7945638092237064071696846340446289374852749051638849346575897086050897 Info:Square Root: Total cpu/real time for sqrt: 277.25/82.8235 Info:Filtering - Singleton removal: Total cpu/real time for purge: 158.74/146.424 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 22427463 Info:Lattice Sieving: Average J: 1879.41 for 906447 special-q, max bucket fill -bkmult 1.0,1s:1.216770 Info:Lattice Sieving: Total time: 127344s Info:Linear Algebra: Total cpu/real time for bwc: 7697.01/1982.03 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 4835.6, WCT time 1236.15, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (22272 iterations) Info:Linear Algebra: Lingen CPU time 122.29, WCT time 31.06 Info:Linear Algebra: Mksol: CPU time 2629.28, WCT time 672.99, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11264 iterations) Info:Generate Factor Base: Total cpu/real time for makefb: 4.6/2.49813 Info:Generate Free Relations: Total cpu/real time for freerel: 223.63/57.2274 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 88.7/97.8608 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 97.8s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 221.62/185.667 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 168.3s Info:Filtering - Merging: Merged matrix has 707814 rows and total weight 121087745 (171.1 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 161.24/44.8791 Info:Filtering - Merging: Total cpu/real time for replay: 23.53/19.6984 Info:Quadratic Characters: Total cpu/real time for characters: 22.87/8.99272 Info:Square Root: Total cpu/real time for sqrt: 277.25/82.8235 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 244053/66608.9 Info:root: Cleaning up computation data in /tmp/cado.03k123bf 104701244427112215981042284958797625949379203697226790374607977433257985753137961 7945638092237064071696846340446289374852749051638849346575897086050897
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic\|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	September 14, 2021 13:00:00 UTC 2021 年 9 月 14 日 (火) 22 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	September 15, 2021 18:50:20 UTC 2021 年 9 月 16 日 (木) 3 時 50 分 20 秒 (日本時間)

2×10¹⁷⁷+45×10⁸⁸-29

c167

name 名前	Eric Jeancolas
date 日付	September 16, 2021 03:50:16 UTC 2021 年 9 月 16 日 (木) 12 時 50 分 16 秒 (日本時間)
composite number 合成数	18061010894507085321199736562189009976304941824312742541223868467995336271823719969868893999786166191928200106155437367778812599471278257342561852551873937452589048331<167>
prime factors 素因数	1897631045601369582614115076538336494271591677278439081<55> 9517662000930983344150362890748657833618203394066328715767154788408911013402999905327092227714698109666514319251<112>
factorization results 素因数分解の結果	18061010894507085321199736562189009976304941824312742541223868467995336271823719969868893999786166191928200106155437367778812599471278257342561852551873937452589048331=18976310456013695826141150765383364942715916772784390819517662000930983344150362890748657833618203394066328715767154788408911013402999905327092227714698109666514319251 cado polynomial n: 18061010894507085321199736562189009976304941824312742541223868467995336271823719969868893999786166191928200106155437367778812599471278257342561852551873937452589048331 skew: 0.32 type: snfs c0: -1 c3: 225 c6: 1000 Y0: 100000000000000000000000000000 Y1: -1 # f(x) = 1000x^6+225*x^3-1 # g(x) = -x+10000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 6200000 tasks.lim1 = 6200000 tasks.lpb0 = 28 tasks.lpb1 = 28 tasks.sieve.mfb0 = 53 tasks.sieve.mfb1 = 53 tasks.sieve.lambda0 = 2.5 tasks.sieve.lambda1 = 2.5 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 1897631045601369582614115076538336494271591677278439081 9517662000930983344150362890748657833618203394066328715767154788408911013402999905327092227714698109666514319251 Info:Square Root: Total cpu/real time for sqrt: 233.97/71.214 Info:Filtering - Singleton removal: Total cpu/real time for purge: 132.42/129.407 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 22417894 Info:Lattice Sieving: Average J: 1880.09 for 1075577 special-q, max bucket fill -bkmult 1.0,1s:1.208390 Info:Lattice Sieving: Total time: 148535s Info:Generate Free Relations: Total cpu/real time for freerel: 238.9/61.197 Info:Linear Algebra: Total cpu/real time for bwc: 13289/3417.16 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 8413.88, WCT time 2154.14, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (29184 iterations) Info:Linear Algebra: Lingen CPU time 166.71, WCT time 42.43 Info:Linear Algebra: Mksol: CPU time 4560.61, WCT time 1166.12, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14592 iterations) Info:Generate Factor Base: Total cpu/real time for makefb: 5.38/2.63953 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 90.36/102.316 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 102.2s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 230.06/191.324 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 174.6s Info:Filtering - Merging: Merged matrix has 926856 rows and total weight 158419785 (170.9 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 215.51/60.1701 Info:Filtering - Merging: Total cpu/real time for replay: 32.45/27.3395 Info:Quadratic Characters: Total cpu/real time for characters: 30.8/12.2138 Info:Square Root: Total cpu/real time for sqrt: 233.97/71.214 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 288882/78610.4 Info:root: Cleaning up computation data in /tmp/cado.ramladjd 1897631045601369582614115076538336494271591677278439081 9517662000930983344150362890748657833618203394066328715767154788408911013402999905327092227714698109666514319251
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic\|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	September 14, 2021 13:00:00 UTC 2021 年 9 月 14 日 (火) 22 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	September 15, 2021 18:50:30 UTC 2021 年 9 月 16 日 (木) 3 時 50 分 30 秒 (日本時間)

2×10¹⁷⁹+45×10⁸⁹-29

c159

name 名前	Eric Jeancolas
date 日付	September 17, 2021 16:58:22 UTC 2021 年 9 月 18 日 (土) 1 時 58 分 22 秒 (日本時間)
composite number 合成数	516714157902070075966585044963075948585385314772124894599496957630290144955542325584419428377771739885493728327767283989453152394423288524436784423475982438393<159>
prime factors 素因数	183805604448648797120634097051914061525276772007751175699<57> 2811199144074132590163950111058795830255921065282043617261433028010410151122723584301617405653677341507<103>
factorization results 素因数分解の結果	516714157902070075966585044963075948585385314772124894599496957630290144955542325584419428377771739885493728327767283989453152394423288524436784423475982438393=1838056044486487971206340970519140615252767720077511756992811199144074132590163950111058795830255921065282043617261433028010410151122723584301617405653677341507 cado polynomial n: 516714157902070075966585044963075948585385314772124894599496957630290144955542325584419428377771739885493728327767283989453152394423288524436784423475982438393 skew: 1.47 type: snfs c0: -20 c3: 45 c6: 2 Y0: 1000000000000000000000000000000 Y1: -1 # f(x) = 2x^6+45*x^3-20 # g(x) = -x+100000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 7100000 tasks.lim1 = 7100000 tasks.lpb0 = 28 tasks.lpb1 = 28 tasks.sieve.mfb0 = 53 tasks.sieve.mfb1 = 53 tasks.sieve.lambda0 = 2.5 tasks.sieve.lambda1 = 2.5 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 2811199144074132590163950111058795830255921065282043617261433028010410151122723584301617405653677341507 183805604448648797120634097051914061525276772007751175699 Info:Square Root: Total cpu/real time for sqrt: 196.26/62.2394 Info:Filtering - Singleton removal: Total cpu/real time for purge: 129.41/127.807 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 22407417 Info:Lattice Sieving: Average J: 1879.74 for 962389 special-q, max bucket fill -bkmult 1.0,1s:1.218630 Info:Lattice Sieving: Total time: 147252s Info:Generate Factor Base: Total cpu/real time for makefb: 5.6/2.66057 Info:Linear Algebra: Total cpu/real time for bwc: 13929.4/3582.25 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 8798.93, WCT time 2255.16, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (29696 iterations) Info:Linear Algebra: Lingen CPU time 168.41, WCT time 42.87 Info:Linear Algebra: Mksol: CPU time 4807.64, WCT time 1227.92, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14848 iterations) Info:Generate Free Relations: Total cpu/real time for freerel: 223.62/57.2948 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 89.73/100.505 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 100.4s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 227.15/189.086 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 173.8s Info:Filtering - Merging: Merged matrix has 949715 rows and total weight 161794888 (170.4 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 225.76/62.9765 Info:Filtering - Merging: Total cpu/real time for replay: 33.02/29.8442 Info:Quadratic Characters: Total cpu/real time for characters: 31.54/12.4876 Info:Square Root: Total cpu/real time for sqrt: 196.26/62.2394 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 288157/78128.3 Info:root: Cleaning up computation data in /tmp/cado.hput9kvr 2811199144074132590163950111058795830255921065282043617261433028010410151122723584301617405653677341507 183805604448648797120634097051914061525276772007751175699
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic\|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	September 14, 2021 13:00:00 UTC 2021 年 9 月 14 日 (火) 22 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	September 15, 2021 19:01:39 UTC 2021 年 9 月 16 日 (木) 4 時 1 分 39 秒 (日本時間)

2×10¹⁸³+45×10⁹¹-29

c167

name 名前	Eric Jeancolas
date 日付	September 20, 2021 19:00:48 UTC 2021 年 9 月 21 日 (火) 4 時 0 分 48 秒 (日本時間)
composite number 合成数	57478284481606951929610594922223570189285807959612829356170922881969273128529352007870159645396110978030457449922438768218485266971407653758167078561697795769072428947<167>
prime factors 素因数	60415411115600708973889507247661510084239695292455836000101<59> 951384479890838308581142672566768612569370467920439171149715934487234784937293299418209368203028275580004247<108>
factorization results 素因数分解の結果	574782844816069519296105949222235701892858079596128293561709228819692731285293520078701596453961109780304574499224387682184852669714076537581670785616977957690724289=60415411115600708973889507247661510084239695292455836000101 951384479890838308581142672566768612569370467920439171149715934487234784937293299418209368203028275580004247 cado polynomial n: 57478284481606951929610594922223570189285807959612829356170922881969273128529352007870159645396110978030457449922438768218485266971407653758167078561697795769072428947 skew: 0.32 type: snfs c0: -1 c3: 225 c6: 1000 Y0: 1000000000000000000000000000000 Y1: -1 # f(x) = 1000x^6+225x^3-1 # g(x) = -x+100000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 7900000 tasks.lim1 = 7900000 tasks.lpb0 = 28 tasks.lpb1 = 28 tasks.sieve.mfb0 = 53 tasks.sieve.mfb1 = 53 tasks.sieve.lambda0 = 2.5 tasks.sieve.lambda1 = 2.5 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 60415411115600708973889507247661510084239695292455836000101 951384479890838308581142672566768612569370467920439171149715934487234784937293299418209368203028275580004247 Info:Square Root: Total cpu/real time for sqrt: 355.39/108.166 Info:Filtering - Singleton removal: Total cpu/real time for purge: 109.41/115.662 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 22412227 Info:Lattice Sieving: Average J: 1880.5 for 1538349 special-q, max bucket fill -bkmult 1.0,1s:1.204520 Info:Lattice Sieving: Total time: 236434s Info:Linear Algebra: Total cpu/real time for bwc: 26302.3/6741.68 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 16768.42, WCT time 4282.88, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (40192 iterations) Info:Linear Algebra: Lingen CPU time 242.31, WCT time 61.62 Info:Linear Algebra: Mksol: CPU time 9074.11, WCT time 2315.72, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (20224 iterations) Info:Generate Factor Base: Total cpu/real time for makefb: 6.81/2.99497 Info:Generate Free Relations: Total cpu/real time for freerel: 238.11/61.2932 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 92/106.121 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 106.0s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 235.04/200.582 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 181.1s Info:Filtering - Merging: Merged matrix has 1281833 rows and total weight 218044384 (170.1 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 313.53/87.5478 Info:Filtering - Merging: Total cpu/real time for replay: 46.35/39.4626 Info:Quadratic Characters: Total cpu/real time for characters: 43.16/17.5982 Info:Square Root: Total cpu/real time for sqrt: 355.39/108.166 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 464549/126105 Info:root: Cleaning up computation data in /tmp/cado.d124mtry 60415411115600708973889507247661510084239695292455836000101 951384479890838308581142672566768612569370467920439171149715934487234784937293299418209368203028275580004247
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic\|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	904	John	September 14, 2021 13:00:00 UTC 2021 年 9 月 14 日 (火) 22 時 0 分 0 秒 (日本時間)
40	3e6	2350	Ignacio Santos	September 15, 2021 19:18:48 UTC 2021 年 9 月 16 日 (木) 4 時 18 分 48 秒 (日本時間)
45	11e6	4480	Ignacio Santos	September 19, 2021 17:50:45 UTC 2021 年 9 月 20 日 (月) 2 時 50 分 45 秒 (日本時間)

2×10¹⁸⁵+45×10⁹²-29

c120

name 名前	ivelive
date 日付	September 14, 2021 19:35:24 UTC 2021 年 9 月 15 日 (水) 4 時 35 分 24 秒 (日本時間)
composite number 合成数	129622358028456712176974912576206288241613977436639294014194913395937902990619948409997732955331107383573098315550768169<120>
prime factors 素因数	3308205295049473237442890393676590069871275441<46> 39182078035613037106517649892367461248489260144287368550880993185220361209<74>
factorization results 素因数分解の結果	09/14/21 06:55:34 v1.34.5 @ DESKTOP-RJPVCOL, Starting factorization of 129622358028456712176974912576206288241613977436639294014194913395937902990619948409997732955331107383573098315550768169 09/14/21 06:55:34 v1.34.5 @ DESKTOP-RJPVCOL, using pretesting plan: noecm 09/14/21 06:55:34 v1.34.5 @ DESKTOP-RJPVCOL, using tune info for qs/gnfs crossover 09/14/21 06:55:34 v1.34.5 @ DESKTOP-RJPVCOL, **************************** 09/14/21 06:55:34 v1.34.5 @ DESKTOP-RJPVCOL, rho: x^2 + 3, starting 1000 iterations on C120 09/14/21 06:55:34 v1.34.5 @ DESKTOP-RJPVCOL, rho: x^2 + 2, starting 1000 iterations on C120 09/14/21 06:55:34 v1.34.5 @ DESKTOP-RJPVCOL, rho: x^2 + 1, starting 1000 iterations on C120 09/14/21 06:55:34 v1.34.5 @ DESKTOP-RJPVCOL, pm1: starting B1 = 150K, B2 = gmp-ecm default on C120 09/14/21 06:55:34 v1.34.5 @ DESKTOP-RJPVCOL, final ECM pretested depth: 0.00 09/14/21 06:55:34 v1.34.5 @ DESKTOP-RJPVCOL, scheduler: switching to sieve method 09/14/21 06:55:34 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing nfs on c120: 129622358028456712176974912576206288241613977436639294014194913395937902990619948409997732955331107383573098315550768169 09/14/21 06:55:34 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing poly selection with 8 threads 09/14/21 06:55:34 v1.34.5 @ DESKTOP-RJPVCOL, nfs: setting deadline of 1631 seconds 09/14/21 07:24:08 v1.34.5 @ DESKTOP-RJPVCOL, nfs: completed 88 ranges of size 250 in 1713.6119 seconds 09/14/21 07:24:08 v1.34.5 @ DESKTOP-RJPVCOL, nfs: best poly = # norm 2.399044e-011 alpha -6.714400 e 3.258e-010 rroots 3 09/14/21 07:24:08 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 07:29:33 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 07:35:17 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 07:41:02 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 07:46:45 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 07:52:19 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 07:57:44 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 08:03:25 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 08:09:04 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 08:14:49 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 08:20:29 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 08:26:09 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 08:31:47 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 08:37:42 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 08:43:31 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 08:49:17 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 08:55:03 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 09:01:07 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 09:07:05 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 09:12:56 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 09:18:29 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 09:24:16 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 09:30:10 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 09:35:56 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 09:41:38 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 09:47:01 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 09:51:54 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 09:57:06 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 10:02:14 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 10:07:41 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 10:12:51 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 10:18:02 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 10:23:22 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 10:28:41 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 10:33:44 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 10:38:51 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 10:44:32 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 10:49:51 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering 09/14/21 10:51:50 v1.34.5 @ DESKTOP-RJPVCOL, nfs: raising min_rels by 5.00 percent to 10643518 09/14/21 10:51:50 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 10:57:30 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads 09/14/21 11:02:52 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering 09/14/21 11:04:38 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve linear algebra 09/14/21 11:11:15 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve sqrt 09/14/21 11:12:29 v1.34.5 @ DESKTOP-RJPVCOL, prp46 = 3308205295049473237442890393676590069871275441 09/14/21 11:12:29 v1.34.5 @ DESKTOP-RJPVCOL, prp74 = 39182078035613037106517649892367461248489260144287368550880993185220361209 09/14/21 11:12:29 v1.34.5 @ DESKTOP-RJPVCOL, NFS elapsed time = 15414.7422 seconds.

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	September 14, 2021 13:00:00 UTC 2021 年 9 月 14 日 (火) 22 時 0 分 0 秒 (日本時間)

2×10¹⁹¹+45×10⁹⁵-29

c188

name 名前	Eric Jeancolas
date 日付	September 18, 2021 17:52:55 UTC 2021 年 9 月 19 日 (日) 2 時 52 分 55 秒 (日本時間)
composite number 合成数	11326311020500622947106127534262090837014384414996035791142824781968512855363008268207044965455006229471061275342620908370143844149960357911428247819685128553630082682070449654547513874731<188>
prime factors 素因数	772940280776485815377233752407477155437019<42> 14653539609971364534003740475645808118134666712927251408952132798683606518871995713440399118213057627859360146213968673055944076427935725921003249<146>
factorization results 素因数分解の結果	11326311020500622947106127534262090837014384414996035791142824781968512855363008268207044965455006229471061275342620908370143844149960357911428247819685128553630082682070449654547513874731=77294028077648581537723375240747715543701914653539609971364534003740475645808118134666712927251408952132798683606518871995713440399118213057627859360146213968673055944076427935725921003249 cado polynomial n: 11326311020500622947106127534262090837014384414996035791142824781968512855363008268207044965455006229471061275342620908370143844149960357911428247819685128553630082682070449654547513874731 skew: 1.47 type: snfs c0: -20 c3: 45 c6: 2 Y0: 100000000000000000000000000000000 Y1: -1 # f(x) = 2x^6+45*x^3-20 # g(x) = -x+10000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 11200000 tasks.lim1 = 11200000 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 = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 772940280776485815377233752407477155437019 14653539609971364534003740475645808118134666712927251408952132798683606518871995713440399118213057627859360146213968673055944076427935725921003249 Info:Square Root: Total cpu/real time for sqrt: 486.73/151.876 Info:Filtering - Singleton removal: Total cpu/real time for purge: 346.24/410.247 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 25178341 Info:Lattice Sieving: Average J: 1879.56 for 1731968 special-q, max bucket fill -bkmult 1.0,1s:1.187590 Info:Lattice Sieving: Total time: 330579s Info:Linear Algebra: Total cpu/real time for bwc: 60026.8/15410.9 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 38469.29, WCT time 9823.56, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (59392 iterations) Info:Linear Algebra: Lingen CPU time 375.87, WCT time 95.49 Info:Linear Algebra: Mksol: CPU time 20827.15, WCT time 5346.94, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (29696 iterations) Info:Generate Factor Base: Total cpu/real time for makefb: 8.95/3.60415 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 104.36/121.131 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 120.5s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 464.34/463.806 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 378.70000000000005s Info:Generate Free Relations: Total cpu/real time for freerel: 221.78/56.4878 Info:Filtering - Merging: Merged matrix has 1894210 rows and total weight 322232548 (170.1 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 501.64/139.548 Info:Filtering - Merging: Total cpu/real time for replay: 74.02/62.7699 Info:Quadratic Characters: Total cpu/real time for characters: 67.71/28.8648 Info:Square Root: Total cpu/real time for sqrt: 486.73/151.876 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 680974/181870 Info:root: Cleaning up computation data in /tmp/cado.3siijmha 772940280776485815377233752407477155437019 14653539609971364534003740475645808118134666712927251408952132798683606518871995713440399118213057627859360146213968673055944076427935725921003249
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic\|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	September 14, 2021 13:00:00 UTC 2021 年 9 月 14 日 (火) 22 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	September 15, 2021 19:19:01 UTC 2021 年 9 月 16 日 (木) 4 時 19 分 1 秒 (日本時間)

2×10¹⁹⁹+45×10⁹⁹-29

c175

name 名前	Eric Jeancolas
date 日付	September 22, 2021 09:51:10 UTC 2021 年 9 月 22 日 (水) 18 時 51 分 10 秒 (日本時間)
composite number 合成数	2559942969438074796644171135048970295552411690541583711909958446085973784903990657838152577308091501066300699323880586548013090038604340786696502061829307898887383493060071191<175>
prime factors 素因数	1523866291918558315489941966573440705752069210117498991<55> 1679899990579284157881601503348651377025021589297392774620578427003512392413308888365396995673393755786912150235515914201<121>
factorization results 素因数分解の結果	2559942969438074796644171135048970295552411690541583711909958446085973784903990657838152577308091501066300699323880586548013090038604340786696502061829307898887383493060071191=15238662919185583154899419665734407057520692101174989911679899990579284157881601503348651377025021589297392774620578427003512392413308888365396995673393755786912150235515914201 cado polynomial n: 2559942969438074796644171135048970295552411690541583711909958446085973784903990657838152577308091501066300699323880586548013090038604340786696502061829307898887383493060071191 skew: 0.68 type: snfs c0: -2 c3: 45 c6: 20 Y0: 1000000000000000000000000000000000 Y1: -1 # f(x) = 20x^6+45*x^3-2 # g(x) = -x+100000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 14700000 tasks.lim1 = 14700000 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 = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 1679899990579284157881601503348651377025021589297392774620578427003512392413308888365396995673393755786912150235515914201 1523866291918558315489941966573440705752069210117498991 Info:Square Root: Total cpu/real time for sqrt: 728.94/222.303 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 120.6/139.737 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 138.99999999999997s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 544.69/564.304 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 457.70000000000005s Info:Generate Factor Base: Total cpu/real time for makefb: 11.54/5.50326 Info:Square Root: Total cpu/real time for sqrt: 728.94/222.303 Info:Filtering - Merging: Merged matrix has 2519642 rows and total weight 430410350 (170.8 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 700.35/193.584 Info:Filtering - Merging: Total cpu/real time for replay: 106.89/94.9574 Info:Linear Algebra: Total cpu/real time for bwc: 111256/28537.4 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 71012.14, WCT time 18165.87, iteration CPU time 0.22, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (78848 iterations) Info:Linear Algebra: Lingen CPU time 535.9, WCT time 135.91 Info:Linear Algebra: Mksol: CPU time 38803.33, WCT time 9918.62, iteration CPU time 0.24, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (39424 iterations) Info:Filtering - Singleton removal: Total cpu/real time for purge: 422.31/499.645 Info:Quadratic Characters: Total cpu/real time for characters: 88.04/37.6498 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 28484277 Info:Lattice Sieving: Average J: 1879.3 for 3214898 special-q, max bucket fill -bkmult 1.0,1s:1.170290 Info:Lattice Sieving: Total time: 726087s Info:Generate Free Relations: Total cpu/real time for freerel: 224.2/59.3063 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.4666e+06/270313 1679899990579284157881601503348651377025021589297392774620578427003512392413308888365396995673393755786912150235515914201 1523866291918558315489941966573440705752069210117498991
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic\|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	904	John	September 14, 2021 13:00:00 UTC 2021 年 9 月 14 日 (火) 22 時 0 分 0 秒 (日本時間)
40	3e6	2350	Ignacio Santos	September 15, 2021 19:35:18 UTC 2021 年 9 月 16 日 (木) 4 時 35 分 18 秒 (日本時間)
45	11e6	4480	Ignacio Santos	September 19, 2021 17:50:57 UTC 2021 年 9 月 20 日 (月) 2 時 50 分 57 秒 (日本時間)

2×10²⁰³+45×10¹⁰¹-29

c181

name 名前	Bob Backstrom
date 日付	November 17, 2021 03:19:40 UTC 2021 年 11 月 17 日 (水) 12 時 19 分 40 秒 (日本時間)
composite number 合成数	1236315923987066144617863413398261352031400028399387532311157129148961309442466752521736572625092356333216943398011495973004999086913773101402725749654007424453769833242717070248513<181>
prime factors 素因数	3209233007495176721009935537339165161837630810273389351<55> 57127739324543901160157073064341019186864649656636179447122213<62> 6743434979266929677081275233572310297502646912889296614502658251<64>
factorization results 素因数分解の結果	Number: n N=1236315923987066144617863413398261352031400028399387532311157129148961309442466752521736572625092356333216943398011495973004999086913773101402725749654007424453769833242717070248513 ( 181 digits) SNFS difficulty: 203 digits. Divisors found: Wed Nov 17 13:56:58 2021 found factor: 3209233007495176721009935537339165161837630810273389351 Wed Nov 17 14:04:42 2021 found factor: 3209233007495176721009935537339165161837630810273389351 Wed Nov 17 14:07:17 2021 p55 factor: 3209233007495176721009935537339165161837630810273389351 Wed Nov 17 14:07:17 2021 p62 factor: 57127739324543901160157073064341019186864649656636179447122213 Wed Nov 17 14:07:17 2021 p64 factor: 6743434979266929677081275233572310297502646912889296614502658251 Wed Nov 17 14:07:17 2021 elapsed time 01:47:37 (Msieve 1.54 - dependency 5) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.339). Factorization parameters were as follows: # # N = 2x10^203+45x10^101-2 = 2(101)72(101) # n: 1236315923987066144617863413398261352031400028399387532311157129148961309442466752521736572625092356333216943398011495973004999086913773101402725749654007424453769833242717070248513 m: 5000000000000000000000000000000000 deg: 6 c6: 32 c3: 90 c0: -5 skew: 0.73 # Murphy_E = 1.067e-11 type: snfs lss: 1 rlim: 17400000 alim: 17400000 lpbr: 29 lpba: 29 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 17400000/17400000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 56/56 Sieved special-q in [100000, 43100000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 12537414 hash collisions in 83224657 relations (72106691 unique) Msieve: matrix is 1913480 x 1913707 (640.3 MB) Sieving start time : 2021/11/16 19:33:30 Sieving end time : 2021/11/17 12:17:49 Total sieving time: 16hrs 44min 19secs. Total relation processing time: 1hrs 8min 26sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 12min 54sec. Prototype def-par.txt line would be: snfs,203,6,0,0,0,0,0,0,0,0,17400000,17400000,29,29,56,56,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.118892] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2728K init, 4972K bss, 487280K reserved, 0K cma-reserved) [ 0.152618] x86/mm: Memory block size: 128MB [ 0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.04 BogoMIPS (lpj=12798084) [ 0.150210] smpboot: Total of 16 processors activated (102384.67 BogoMIPS)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	September 14, 2021 13:00:00 UTC 2021 年 9 月 14 日 (火) 22 時 0 分 0 秒 (日本時間)
40	3e6	2200	1200	Dmitry Domanov	September 17, 2021 15:02:56 UTC 2021 年 9 月 18 日 (土) 0 時 2 分 56 秒 (日本時間)
40	3e6	2200	1000	ebina	October 12, 2021 07:04:41 UTC 2021 年 10 月 12 日 (火) 16 時 4 分 41 秒 (日本時間)

2×10²⁰⁵+45×10¹⁰²-29

c181

name 名前	Bob Backstrom
date 日付	October 11, 2023 01:17:22 UTC 2023 年 10 月 11 日 (水) 10 時 17 分 22 秒 (日本時間)
composite number 合成数	7300780522193824866619308892584781982600150341336705686679569601653293744664562665595126085355756522168144276136928478446754711805978339149139458051964678524968308356817035385948993<181>
prime factors 素因数	12920876922644883188092596326460323096398906406292696468071<59> 565037540865250078873410210068043004700027088225923457977733458011451691690798891007779719876305549171692269117667250652183<123>
factorization results 素因数分解の結果	Number: n N=7300780522193824866619308892584781982600150341336705686679569601653293744664562665595126085355756522168144276136928478446754711805978339149139458051964678524968308356817035385948993 ( 181 digits) SNFS difficulty: 205 digits. Divisors found: Tue Oct 10 18:43:19 2023 prp59 factor: 12920876922644883188092596326460323096398906406292696468071 Tue Oct 10 18:43:19 2023 prp123 factor: 565037540865250078873410210068043004700027088225923457977733458011451691690798891007779719876305549171692269117667250652183 Tue Oct 10 18:43:19 2023 elapsed time 02:34:16 (Msieve 1.44 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.081). Factorization parameters were as follows: # # N = 2x10^205+45x10^102-2 = 2(102)72(102) # n: 7300780522193824866619308892584781982600150341336705686679569601653293744664562665595126085355756522168144276136928478446754711805978339149139458051964678524968308356817035385948993 m: 10000000000000000000000000000000000 deg: 6 c6: 20 c3: 45 c0: -2 skew: 0.68 # Murphy_E = 9.888e-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 3096856 hash collisions in 19031968 relations (16255340 unique) Msieve: matrix is 2202696 x 2202921 (617.9 MB) Sieving start time: 2023/10/09 23:45:45 Sieving end time : 2023/10/10 16:08:40 Total sieving time: 16hrs 22min 55secs. Total relation processing time: 2hrs 26min 6sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 3min 8sec. 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) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	September 14, 2021 13:00:00 UTC 2021 年 9 月 14 日 (火) 22 時 0 分 0 秒 (日本時間)
40	3e6	2160	1200	Dmitry Domanov	September 17, 2021 18:16:03 UTC 2021 年 9 月 18 日 (土) 3 時 16 分 3 秒 (日本時間)
40	3e6	2160	960	ebina	November 22, 2021 23:07:19 UTC 2021 年 11 月 23 日 (火) 8 時 7 分 19 秒 (日本時間)
45	11e6	4480		Ignacio Santos	February 14, 2022 21:37:41 UTC 2022 年 2 月 15 日 (火) 6 時 37 分 41 秒 (日本時間)

2×10²¹¹+45×10¹⁰⁵-29

c191

name 名前	Bob Backstrom
date 日付	September 19, 2021 03:34:45 UTC 2021 年 9 月 19 日 (日) 12 時 34 分 45 秒 (日本時間)
composite number 合成数	63780871675064800572307302506099822050536171920447143756606832096311998613013168358936191415572051060408774295279178385196764637137646647277526549123369618674247234637654875067465944577701603<191>
prime factors 素因数	36328078603487594599953584777306080600881877763679929432839<59> 1755690752908183340675668951251038281238326779405871291904383444169122369073741712652742793512392118444558378175668591403261158507077<133>
factorization results 素因数分解の結果	Number: n N=63780871675064800572307302506099822050536171920447143756606832096311998613013168358936191415572051060408774295279178385196764637137646647277526549123369618674247234637654875067465944577701603 ( 191 digits) SNFS difficulty: 211 digits. Divisors found: Sun Sep 19 13:22:23 2021 p59 factor: 36328078603487594599953584777306080600881877763679929432839 Sun Sep 19 13:22:23 2021 p133 factor: 1755690752908183340675668951251038281238326779405871291904383444169122369073741712652742793512392118444558378175668591403261158507077 Sun Sep 19 13:22:23 2021 elapsed time 02:47:16 (Msieve 1.54 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.343). Factorization parameters were as follows: # # N = 2x10^211+45x10^105-2 = 2(105)72(105) # n: 63780871675064800572307302506099822050536171920447143756606832096311998613013168358936191415572051060408774295279178385196764637137646647277526549123369618674247234637654875067465944577701603 m: 100000000000000000000000000000000000 deg: 6 c6: 20 c3: 45 c0: -2 skew: 0.68 # Murphy_E = 6.243e-12 type: snfs lss: 1 rlim: 23000000 alim: 23000000 lpbr: 29 lpba: 29 mfbr: 57 mfba: 57 rlambda: 2.6 alambda: 2.6 Factor base limits: 23000000/23000000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 57/57 Sieved special-q in [100000, 53100000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 11314156 hash collisions in 71055272 relations (62090534 unique) Msieve: matrix is 2611855 x 2612081 (896.5 MB) Sieving start time : 2021/09/18 15:18:47 Sieving end time : 2021/09/19 10:33:18 Total sieving time: 19hrs 14min 31secs. Total relation processing time: 2hrs 16min 18sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 12min 13sec. Prototype def-par.txt line would be: snfs,211,6,0,0,0,0,0,0,0,0,23000000,23000000,29,29,57,57,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.118839] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16239964K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2736K init, 4964K bss, 487272K reserved, 0K cma-reserved) [ 0.153502] x86/mm: Memory block size: 128MB [ 0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.11 BogoMIPS (lpj=12798236) [ 0.152049] smpboot: Total of 16 processors activated (102385.88 BogoMIPS)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	September 14, 2021 13:00:00 UTC 2021 年 9 月 14 日 (火) 22 時 0 分 0 秒 (日本時間)

2×10²¹³+45×10¹⁰⁶-29

c164

composite cofactor 合成数の残り	35124624955983624493879352363649406480249323558616977071068831070000485428271730055497077944163771675319769004289205279135176414907286477668283017187557492383243047<164>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	September 14, 2021 13:00:00 UTC 2021 年 9 月 14 日 (火) 22 時 0 分 0 秒 (日本時間)
40	3e6	2160	1200	Dmitry Domanov	September 17, 2021 01:33:44 UTC 2021 年 9 月 17 日 (金) 10 時 33 分 44 秒 (日本時間)
40	3e6	2160	960	ebina	November 22, 2021 23:55:32 UTC 2021 年 11 月 23 日 (火) 8 時 55 分 32 秒 (日本時間)

2×10²¹⁵+45×10¹⁰⁷-29

c214

composite cofactor 合成数の残り	3703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703787037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037<214>

composite cofactor 合成数の残り

3703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703787037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037<214>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	September 14, 2021 13:00:00 UTC 2021 年 9 月 14 日 (火) 22 時 0 分 0 秒 (日本時間)
40	3e6	2160	1200	Dmitry Domanov	September 18, 2021 12:25:47 UTC 2021 年 9 月 18 日 (土) 21 時 25 分 47 秒 (日本時間)
40	3e6	2160	960	ebina	November 23, 2021 00:56:48 UTC 2021 年 11 月 23 日 (火) 9 時 56 分 48 秒 (日本時間)

2×10²²³+45×10¹¹¹-29

c223

name 名前	ebina
date 日付	November 23, 2021 02:23:06 UTC 2021 年 11 月 23 日 (火) 11 時 23 分 6 秒 (日本時間)
composite number 合成数	1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<223>
prime factors 素因数	374358961589730743988518533100192552409590727836539<51> 2968036630918976881587420810661652045885729751706582643946802754003279100482080607344115494569998905123030710383576219254425762949308195775392487631091253051921012553581349<172>
factorization results 素因数分解の結果	C:\MYDATA\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:1120367058 3e6 GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM] Input number is 1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 (223 digits) Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1120367058 Step 1 took 7032ms Step 2 took 5593ms ********** Factor found in step 2: 374358961589730743988518533100192552409590727836539 Found probable prime factor of 51 digits: 374358961589730743988518533100192552409590727836539 Probable prime cofactor 2968036630918976881587420810661652045885729751706582643946802754003279100482080607344115494569998905123030710383576219254425762949308195775392487631091253051921012553581349 has 172 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	September 14, 2021 13:00:00 UTC 2021 年 9 月 14 日 (火) 22 時 0 分 0 秒 (日本時間)
40	3e6	1248 / 2104		Dmitry Domanov	September 17, 2021 21:37:41 UTC 2021 年 9 月 18 日 (土) 6 時 37 分 41 秒 (日本時間)

2×10²²⁹+45×10¹¹⁴-29

c165

name 名前	Dmitry Domanov
date 日付	September 18, 2021 22:12:38 UTC 2021 年 9 月 19 日 (日) 7 時 12 分 38 秒 (日本時間)
composite number 合成数	611640161766253352256700261995377925982435303375762458401961664457715345899748665568869715062728975936493591397436046722796960014599063308078296387782155333584121351<165>
prime factors 素因数	847262599199537744521435852330020233652322684487023<51> 292316795294297131406579412386985067227468487982312222627<57> 2469586201780929406677623619238275094886641979801582883331<58>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:509961445 Step 1 took 7848ms Step 2 took 4166ms ********** Factor found in step 2: 847262599199537744521435852330020233652322684487023 Found prime factor of 51 digits: 847262599199537744521435852330020233652322684487023 Composite cofactor 721901524207616711226652056249886403405963447355654577358066527968278334097658633007807442644696612774633839330537 has 114 digits GNFS on remaining C114: N=721901524207616711226652056249886403405963447355654577358066527968278334097658633007807442644696612774633839330537 ( 114 digits) Divisors found: p57 factor: 292316795294297131406579412386985067227468487982312222627 p58 factor: 2469586201780929406677623619238275094886641979801582883331 Version: Msieve v. 1.54 (SVN 1043M) Total time: 17.62 hours. Scaled time: 0.00 units (timescale=0.000). Factorization parameters were as follows: n: 721901524207616711226652056249886403405963447355654577358066527968278334097658633007807442644696612774633839330537 skew: 87338.76 c0: -683027368037986763738934377 c1: 692961470744187868297837 c2: 5646141088781994815 c3: -335457908791693 c4: -623682078 c5: 8280 Y0: -9729883451149327578180 Y1: 26895388559219 rlim: 4240000 alim: 4240000 lpbr: 27 lpba: 27 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 type: gnfs Factor base limits: 4240000/4240000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 54/54 Sieved algebraic special-q in [2120000, 3020001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 441774 x 442000 Total sieving time: 17.41 hours. Total relation processing time: 0.06 hours. Matrix solve time: 0.13 hours. Time per square root: 0.02 hours. Prototype def-par.txt line would be: gnfs,113,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4240000,4240000,27,27,54,54,2.5,2.5,100000 total time: 17.62 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	September 14, 2021 13:00:00 UTC 2021 年 9 月 14 日 (火) 22 時 0 分 0 秒 (日本時間)
40	3e6	1200 / 2104		Dmitry Domanov	September 18, 2021 12:26:21 UTC 2021 年 9 月 18 日 (土) 21 時 26 分 21 秒 (日本時間)

2×10²³³+45×10¹¹⁶-29

c224

name 名前	ebina
date 日付	December 9, 2021 09:57:04 UTC 2021 年 12 月 9 日 (木) 18 時 57 分 4 秒 (日本時間)
composite number 合成数	65832506531363117300954605116780615790143017163905743837412974092244438369289076717193253677751575057695658098466536006125988595970508535421797977273722106634494742052831311965640877255568727125964831093975778650083505670821<224>
prime factors 素因数	41776546725384693569091730729117296463<38> 1575824516183892596344356504055919416724168101561384011906245072017860679233874235416804956531421024981348162127446926000466825139205001606627320571877775577806608065599565264263766110667<187>
factorization results 素因数分解の結果	Y:\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:3322425956 3e6 GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM] Input number is 65832506531363117300954605116780615790143017163905743837412974092244438369289076717193253677751575057695658098466536006125988595970508535421797977273722106634494742052831311965640877255568727125964831093975778650083505670821 (224 digits) Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3322425956 Step 1 took 20891ms Step 2 took 10890ms ********** Factor found in step 2: 41776546725384693569091730729117296463 Found probable prime factor of 38 digits: 41776546725384693569091730729117296463 Probable prime cofactor 1575824516183892596344356504055919416724168101561384011906245072017860679233874235416804956531421024981348162127446926000466825139205001606627320571877775577806608065599565264263766110667 has 187 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	September 14, 2021 13:00:00 UTC 2021 年 9 月 14 日 (火) 22 時 0 分 0 秒 (日本時間)
40	3e6	1248 / 2104		Dmitry Domanov	September 17, 2021 21:37:16 UTC 2021 年 9 月 18 日 (土) 6 時 37 分 16 秒 (日本時間)

2×10²³⁵+45×10¹¹⁷-29

c232

composite cofactor 合成数の残り	2226675573368960142507236695613449120463148519260743709641505232687597417056334892006234691605433088399020262747717662547316855934090403028278779781785793809841906034290803829881986194611445112447116455132487196615453128479180583389<232>

composite cofactor 合成数の残り

2226675573368960142507236695613449120463148519260743709641505232687597417056334892006234691605433088399020262747717662547316855934090403028278779781785793809841906034290803829881986194611445112447116455132487196615453128479180583389<232>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	September 14, 2021 13:00:00 UTC 2021 年 9 月 14 日 (火) 22 時 0 分 0 秒 (日本時間)
40	3e6	2104	1248	Dmitry Domanov	September 17, 2021 18:17:54 UTC 2021 年 9 月 18 日 (土) 3 時 17 分 54 秒 (日本時間)
40	3e6	2104	856	ebina	December 9, 2021 21:59:20 UTC 2021 年 12 月 10 日 (金) 6 時 59 分 20 秒 (日本時間)

2×10²³⁷+45×10¹¹⁸-29

c186

composite cofactor 合成数の残り	362636693710950907342930387996577946922289962430762572017016030300298931450213148871733733520878600495137732633322496927145317346406728073522380517251391622483998382264398192385828427367<186>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	September 14, 2021 13:00:00 UTC 2021 年 9 月 14 日 (火) 22 時 0 分 0 秒 (日本時間)
40	3e6	2104	1200	Dmitry Domanov	September 18, 2021 12:26:36 UTC 2021 年 9 月 18 日 (土) 21 時 26 分 36 秒 (日本時間)
40	3e6	2104	904	ebina	December 9, 2021 22:00:25 UTC 2021 年 12 月 10 日 (金) 7 時 0 分 25 秒 (日本時間)

2×10²³⁹+45×10¹¹⁹-29

c209

composite cofactor 合成数の残り	17664968170484273565103180436123527466370453354298308257789669187773972495506990996825308161547356182642452000300947398758551819706469669105242519217221886870608838012233677682858686561916661536393068536446887<209>

composite cofactor 合成数の残り

17664968170484273565103180436123527466370453354298308257789669187773972495506990996825308161547356182642452000300947398758551819706469669105242519217221886870608838012233677682858686561916661536393068536446887<209>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	September 14, 2021 13:00:00 UTC 2021 年 9 月 14 日 (火) 22 時 0 分 0 秒 (日本時間)
40	3e6	3550	1200	Dmitry Domanov	September 18, 2021 12:26:57 UTC 2021 年 9 月 18 日 (土) 21 時 26 分 57 秒 (日本時間)
40	3e6	3550	2350	Ignacio Santos	December 12, 2021 21:42:47 UTC 2021 年 12 月 13 日 (月) 6 時 42 分 47 秒 (日本時間)

2×10²⁴¹+45×10¹²⁰-29

c181

composite cofactor 合成数の残り	1008058428528811432432535763777436228156838004187651073641114006061528177630217152210037559611511948806022515720764416587330825321426321213142952142847820641181364671787272370315397<181>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	September 14, 2021 13:00:00 UTC 2021 年 9 月 14 日 (火) 22 時 0 分 0 秒 (日本時間)
40	3e6	2104	1200	Dmitry Domanov	September 18, 2021 12:27:19 UTC 2021 年 9 月 18 日 (土) 21 時 27 分 19 秒 (日本時間)
40	3e6	2104	904	ebina	December 9, 2021 22:01:28 UTC 2021 年 12 月 10 日 (金) 7 時 1 分 28 秒 (日本時間)

2×10²⁴³+45×10¹²¹-29

c204

name 名前	ivelive
date 日付	September 14, 2021 19:36:23 UTC 2021 年 9 月 15 日 (水) 4 時 36 分 23 秒 (日本時間)
composite number 合成数	318297733983085453363248462585229281736202068155369470917008168612322083962130622948711442292441427040890541289718145689128314306921995144114150599144697355359683509357136081883836265516810674489987438253<204>
prime factors 素因数	14858704132686627875444080868150265034558063<44>
composite cofactor 合成数の残り	21421634830380964863479190047035211133723945204127408084037374294779014276784552554239603185323142949823947887642252703037681718295495750150915831136949126164131<161>
factorization results 素因数分解の結果	prp44 = 14858704132686627875444080868150265034558063 (curve 3 stg1 B1=850000000 sigma=646824270 thread=7)

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	904	John	September 14, 2021 13:00:00 UTC 2021 年 9 月 14 日 (火) 22 時 0 分 0 秒 (日本時間)
40	3e6	2350	Ignacio Santos	September 18, 2021 09:55:01 UTC 2021 年 9 月 18 日 (土) 18 時 55 分 1 秒 (日本時間)
45	11e6	4480	Ignacio Santos	September 18, 2021 18:29:45 UTC 2021 年 9 月 19 日 (日) 3 時 29 分 45 秒 (日本時間)

2×10²⁴⁹+45×10¹²⁴-29

c185

composite cofactor 合成数の残り	25858461946725091666266580928982174387131925086324695358651351034133135168311497077681021884849975927070602592616611917047635525673777847226296646416320874723514653405205303970077428323<185>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	September 14, 2021 13:00:00 UTC 2021 年 9 月 14 日 (火) 22 時 0 分 0 秒 (日本時間)
40	3e6	3550	1200	Dmitry Domanov	September 18, 2021 12:27:47 UTC 2021 年 9 月 18 日 (土) 21 時 27 分 47 秒 (日本時間)
40	3e6	3550	2350	Ignacio Santos	December 12, 2021 22:14:37 UTC 2021 年 12 月 13 日 (月) 7 時 14 分 37 秒 (日本時間)

2×10²⁵³+45×10¹²⁶-29

c247

composite cofactor 合成数の残り

1168241631622338322075572850204670092652075562336029985491607176882180378143460773308202119353873591348843610179730470300201886464904327435699104414282781999218913645097304597860271992353157576052822279022130351700311441536574199173282126966136063<247>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	September 14, 2021 13:00:00 UTC 2021 年 9 月 14 日 (火) 22 時 0 分 0 秒 (日本時間)
40	3e6	3598	1248	Dmitry Domanov	September 17, 2021 18:17:28 UTC 2021 年 9 月 18 日 (土) 3 時 17 分 28 秒 (日本時間)
40	3e6	3598	2350	Ignacio Santos	December 12, 2021 22:15:33 UTC 2021 年 12 月 13 日 (月) 7 時 15 分 33 秒 (日本時間)

2×10²⁵⁵+45×10¹²⁷-29

c214

composite cofactor 合成数の残り

1749206979486887886821572832803067294308414011408706038135939904220802004551594282658376016962282736889252926687434661038638312483219839744556605477976110933740742705454012495369056289452444179628200084953072216483<214>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	September 14, 2021 13:00:00 UTC 2021 年 9 月 14 日 (火) 22 時 0 分 0 秒 (日本時間)
40	3e6	3550	1200	Dmitry Domanov	September 18, 2021 12:28:04 UTC 2021 年 9 月 18 日 (土) 21 時 28 分 4 秒 (日本時間)
40	3e6	3550	2350	Ignacio Santos	December 12, 2021 22:39:51 UTC 2021 年 12 月 13 日 (月) 7 時 39 分 51 秒 (日本時間)

2×10²⁵⁷+45×10¹²⁸-29

c233

composite cofactor 合成数の残り

98261977204435718252206005293716490651840408881787338347828729671327504935307128256269521477465712572793275297720466277268432765871870041278541646101213842083754904038170406932669218685510847894268289117715551719318663189721249902463<233>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	September 14, 2021 13:00:00 UTC 2021 年 9 月 14 日 (火) 22 時 0 分 0 秒 (日本時間)
40	3e6	3598	1248	Dmitry Domanov	September 17, 2021 18:16:46 UTC 2021 年 9 月 18 日 (土) 3 時 16 分 46 秒 (日本時間)
40	3e6	3598	2350	Ignacio Santos	December 12, 2021 22:52:57 UTC 2021 年 12 月 13 日 (月) 7 時 52 分 57 秒 (日本時間)

2×10²⁵⁹+45×10¹²⁹-29

c250

composite cofactor 合成数の残り

1691652354175488919160026608493841313684452232453252769310224606345024309089158289161418785940104761624764440391218337402306186318120347864359605463588004119842700088627341571084498208823762445334755326829000065936041304404284248776105127247001035873<250>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	September 14, 2021 13:00:00 UTC 2021 年 9 月 14 日 (火) 22 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	December 12, 2021 23:06:17 UTC 2021 年 12 月 13 日 (月) 8 時 6 分 17 秒 (日本時間)

2×10²⁶³+45×10¹³¹-29

c239

composite cofactor 合成数の残り

96002918640948023253216041298506325605774430084281191051231774087775659434451641035729786273668360632738303691295494428295171360635218622480103375077755005784069564732815239887018605302472860106911645382171687245766901289463994461465743307<239>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	September 14, 2021 13:00:00 UTC 2021 年 9 月 14 日 (火) 22 時 0 分 0 秒 (日本時間)
40	3e6	3598	1248	Dmitry Domanov	September 17, 2021 18:17:07 UTC 2021 年 9 月 18 日 (土) 3 時 17 分 7 秒 (日本時間)
40	3e6	3598	2350	Ignacio Santos	December 12, 2021 23:16:40 UTC 2021 年 12 月 13 日 (月) 8 時 16 分 40 秒 (日本時間)

2×10²⁶⁹+45×10¹³⁴-29

c264

composite cofactor 合成数の残り

110760001905072032767238963596510173859974990391569834735001157442019908002742417647169583531316836738649591904772980762095269108038631150364455786268639523820599809714316727086247705883460541195521308562966507283023925268011514609798051288526482162655493197674483<264>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	September 14, 2021 13:00:00 UTC 2021 年 9 月 14 日 (火) 22 時 0 分 0 秒 (日本時間)
40	3e6	3598	1248	Dmitry Domanov	September 16, 2021 16:37:09 UTC 2021 年 9 月 17 日 (金) 1 時 37 分 9 秒 (日本時間)
40	3e6	3598	2350	Ignacio Santos	December 12, 2021 23:35:47 UTC 2021 年 12 月 13 日 (月) 8 時 35 分 47 秒 (日本時間)

2×10²⁷¹+45×10¹³⁵-29

c262

composite cofactor 合成数の残り

1060991993598344384634957085634029618315734432613726961778867180590583901189006735890268081187600923620734262074648374752183344098439265647671006697811053232544301290195197467252198567476811410705255859624540136269361857350201306164729068817615056253714334696709<262>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	September 14, 2021 13:00:00 UTC 2021 年 9 月 14 日 (火) 22 時 0 分 0 秒 (日本時間)
40	3e6	3598	1248	Dmitry Domanov	September 16, 2021 16:37:03 UTC 2021 年 9 月 17 日 (金) 1 時 37 分 3 秒 (日本時間)
40	3e6	3598	2350	Ignacio Santos	December 13, 2021 07:06:44 UTC 2021 年 12 月 13 日 (月) 16 時 6 分 44 秒 (日本時間)

2×10²⁷³+45×10¹³⁶-29

c250

name 名前	Dmitry Domanov
date 日付	September 16, 2021 22:13:24 UTC 2021 年 9 月 17 日 (金) 7 時 13 分 24 秒 (日本時間)
composite number 合成数	4967474157546886921393739834856569307193220918448192628871947205116960405014452924844804140289468232758741121972851552102664593404696580085665366598825816191927085349187291917006892474294790506343586400679818014532157278444843996172794977965604138693<250>
prime factors 素因数	215084818631965437124784708550353401<36>
composite cofactor 合成数の残り	23095419700666087527767447645212488704214369300803789147355222332379283774862118917022729643873951427262718446740126974623887588781380354434558775777326774700800639502780818024464868481476057816343343632424099112493<215>
factorization results 素因数分解の結果	Resuming ECM residue saved by @db18b2a84859 with GMP-ECM 7.0.5-dev on Thu Sep 16 16:49:34 2021 Input number is 49674741575468869213937398348565693071932209184481926288719472051169604050144529248448041402894682327587411219728515521026645934046965800856653665988258161919270853491872919170068924742947 90506343586400679818014532157278444843996172794977965604138693 (250 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4151473590 Step 1 took 0ms Step 2 took 4368ms ********** Factor found in step 2: 215084818631965437124784708550353401 Found prime factor of 36 digits: 215084818631965437124784708550353401 Composite cofactor 23095419700666087527767447645212488704214369300803789147355222332379283774862118917022729643873951427262718446740126974623887588781380354434558775777326774700800639502780818024464868481476057816343343632424099112493 has 215 digits

c215

name 名前	Dmitry Domanov
date 日付	September 17, 2021 14:17:16 UTC 2021 年 9 月 17 日 (金) 23 時 17 分 16 秒 (日本時間)
composite number 合成数	23095419700666087527767447645212488704214369300803789147355222332379283774862118917022729643873951427262718446740126974623887588781380354434558775777326774700800639502780818024464868481476057816343343632424099112493<215>
prime factors 素因数	45172879131294129026288939353558551482729<41> 511267383102584224568986559467475499050081034213601237516449365746937629391126786120048203090411995444450633960371744303635864509304299693559983477403424391153335556357050917<174>
factorization results 素因数分解の結果	Resuming ECM residue saved by @db18b2a84859 with GMP-ECM 7.0.5-dev on Thu Sep 16 17:49:43 2021 Input number is 23095419700666087527767447645212488704214369300803789147355222332379283774862118917022729643873951427262718446740126974623887588781380354434558775777326774700800639502780818024464868481476057816343343632424099112493 (215 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:407396980 Step 1 took 0ms Step 2 took 3684ms ********** Factor found in step 2: 45172879131294129026288939353558551482729 Found prime factor of 41 digits: 45172879131294129026288939353558551482729 Prime cofactor 511267383102584224568986559467475499050081034213601237516449365746937629391126786120048203090411995444450633960371744303635864509304299693559983477403424391153335556357050917 has 174 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	September 14, 2021 13:00:00 UTC 2021 年 9 月 14 日 (火) 22 時 0 分 0 秒 (日本時間)
40	3e6	1248 / 2104		Dmitry Domanov	September 16, 2021 16:36:56 UTC 2021 年 9 月 17 日 (金) 1 時 36 分 56 秒 (日本時間)

2×10²⁷⁹+45×10¹³⁹-29

c212

composite cofactor 合成数の残り

26688466568525622522852134580262675065632630473685127877337460970686025246360562517317559610495704393525054334732457956576839455844240378195736517761637141232160173321048836513967667401554699163050118762722630423<212>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	September 14, 2021 13:00:00 UTC 2021 年 9 月 14 日 (火) 22 時 0 分 0 秒 (日本時間)
40	3e6	3550	1200	Dmitry Domanov	September 18, 2021 12:28:28 UTC 2021 年 9 月 18 日 (土) 21 時 28 分 28 秒 (日本時間)
40	3e6	3550	2350	Ignacio Santos	December 13, 2021 07:06:58 UTC 2021 年 12 月 13 日 (月) 16 時 6 分 58 秒 (日本時間)

2×10²⁸¹+45×10¹⁴⁰-29

c250

composite cofactor 合成数の残り

1407729136138835339547547145264742578968174410554586186501495195684258348810952049785352420888190761536742911292067172634688938311127051352774775289036341706099619788573867821598231916900758559816819283096025870038871952700629097092289852537350144289<250>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	September 14, 2021 13:00:00 UTC 2021 年 9 月 14 日 (火) 22 時 0 分 0 秒 (日本時間)
40	3e6	3598	1248	Dmitry Domanov	September 16, 2021 16:36:47 UTC 2021 年 9 月 17 日 (金) 1 時 36 分 47 秒 (日本時間)
40	3e6	3598	2350	Ignacio Santos	December 13, 2021 07:07:13 UTC 2021 年 12 月 13 日 (月) 16 時 7 分 13 秒 (日本時間)

2×10²⁸³+45×10¹⁴¹-29

c255

composite cofactor 合成数の残り

739477138522973394503689744658225972341317824051052396464565888831643721901512674321043232071745116485216431364861376593759730765499242448401447296939891359353467751055674406191158103398689574309127207051588073398986177434626877313732231976604879692220379<255>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	September 14, 2021 13:00:00 UTC 2021 年 9 月 14 日 (火) 22 時 0 分 0 秒 (日本時間)
40	3e6	3598	1248	Dmitry Domanov	September 16, 2021 16:36:39 UTC 2021 年 9 月 17 日 (金) 1 時 36 分 39 秒 (日本時間)
40	3e6	3598	2350	Ignacio Santos	December 13, 2021 07:09:12 UTC 2021 年 12 月 13 日 (月) 16 時 9 分 12 秒 (日本時間)

2×10²⁸⁵+45×10¹⁴²-29

c270

composite cofactor 合成数の残り

158386408954713778971208505916752918900511275822378282141968023850645170210895780846306686141837259151050447439448278027690037158810579870317294982715520355584074570775635677111908150211870249789873806831043494684397158289210038528452785630767781931426705554926641778081<270>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	September 14, 2021 13:00:00 UTC 2021 年 9 月 14 日 (火) 22 時 0 分 0 秒 (日本時間)
40	3e6	3598	1248	Dmitry Domanov	September 16, 2021 16:36:34 UTC 2021 年 9 月 17 日 (金) 1 時 36 分 34 秒 (日本時間)
40	3e6	3598	2350	Ignacio Santos	December 13, 2021 07:09:24 UTC 2021 年 12 月 13 日 (月) 16 時 9 分 24 秒 (日本時間)

2×10²⁸⁹+45×10¹⁴⁴-29

c269

composite cofactor 合成数の残り

35586821188379181181253554242629579500152260168332828457990710885223804718488948499287115620845740112728695456497579035597615244319150539299568266298103001778200932091010080137500461155834063494655330113956667076261376302685495516621383537114374115692998527508453443737<269>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	904	John	September 14, 2021 13:00:00 UTC 2021 年 9 月 14 日 (火) 22 時 0 分 0 秒 (日本時間)
40	3e6	0	-	-
45	11e6	4480	ivelive	September 15, 2021 02:34:54 UTC 2021 年 9 月 15 日 (水) 11 時 34 分 54 秒 (日本時間)

2×10²⁹¹+45×10¹⁴⁵-29

c269

composite cofactor 合成数の残り

73432260146666147118887102933014933539737214846463608979340524766401586661105428259209951908911567464507054012169011423508611441266247131077110686293121341242446456837808304120911335246226845812998536539928198878548255211899133749016447121241074531951135500093901157921<269>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	September 14, 2021 13:00:00 UTC 2021 年 9 月 14 日 (火) 22 時 0 分 0 秒 (日本時間)
40	3e6	3598	1248	Dmitry Domanov	September 15, 2021 16:31:28 UTC 2021 年 9 月 16 日 (木) 1 時 31 分 28 秒 (日本時間)
40	3e6	3598	2350	Ignacio Santos	December 13, 2021 07:09:43 UTC 2021 年 12 月 13 日 (月) 16 時 9 分 43 秒 (日本時間)

2×10²⁹³+45×10¹⁴⁶-29

c281

composite cofactor 合成数の残り

26377902807423970699113686072516163146312437857683632373446443059752137224032137490311020515932543149400967194603813452034738814594026535995875300037908199364124525704115944042443032515780341366125822218271033850542082543152981807067565828610395470369467204457352508207281745006341<281>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	September 14, 2021 13:00:00 UTC 2021 年 9 月 14 日 (火) 22 時 0 分 0 秒 (日本時間)
40	3e6	3598	1248	Dmitry Domanov	September 15, 2021 16:31:20 UTC 2021 年 9 月 16 日 (木) 1 時 31 分 20 秒 (日本時間)
40	3e6	3598	2350	Ignacio Santos	December 13, 2021 07:09:58 UTC 2021 年 12 月 13 日 (月) 16 時 9 分 58 秒 (日本時間)

2×10²⁹⁵+45×10¹⁴⁷-29

c235

composite cofactor 合成数の残り

7433381530830029562262669758216925040126987400769729026587208482079360899776173272881357764441842470563587730526997006487611683569511153991393355790873563017296243324844695793245080973998174714085982917250340601570069486165614013702447<235>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	September 14, 2021 13:00:00 UTC 2021 年 9 月 14 日 (火) 22 時 0 分 0 秒 (日本時間)
40	3e6	2352		ivelive	September 14, 2021 19:35:45 UTC 2021 年 9 月 15 日 (水) 4 時 35 分 45 秒 (日本時間)

2×10²⁹⁷+45×10¹⁴⁸-29

c285

name 名前	Dmitry Domanov
date 日付	September 16, 2021 08:18:50 UTC 2021 年 9 月 16 日 (木) 17 時 18 分 50 秒 (日本時間)
composite number 合成数	294750249743058902724598859573475127419714066674258750871119808716716086932759017183468575354016847849801946645300017354999724385291644311421626259947850466856078155424324427873749131758400207626782019398188654871898718787373687721022688022011998536701907368706211165854907607222612031<285>
prime factors 素因数	3111288801154821904331226531426168476471927<43>
composite cofactor 合成数の残り	94735740903787521751711792885016706755628900495374635966020961650769676593236894437751786687271279282289813540101912117606328309285962122545075482931923249148473769822001293119352535307241915423183959417465929217237950045570102528096724613753<242>
factorization results 素因数分解の結果	Resuming ECM residue saved by @1760bc11e9a4 with GMP-ECM 7.0.5-dev on Wed Sep 15 17:22:44 2021 Input number is 29475024974305890272459885957347512741971406667425875087111980871671608693275901718346857535401684784980194664530001735499972438529164431142162625994785046685607815542432442787374913175840 0207626782019398188654871898718787373687721022688022011998536701907368706211165854907607222612031 (285 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4286872210 Step 1 took 0ms Step 2 took 5072ms ********** Factor found in step 2: 3111288801154821904331226531426168476471927 Found prime factor of 43 digits: 3111288801154821904331226531426168476471927 Composite cofactor 94735740903787521751711792885016706755628900495374635966020961650769676593236894437751786687271279282289813540101912117606328309285962122545075482931923249148473769822001293119352535307241915423183959417465929217237950045570102528096724613753 has 242 digits

c242

name 名前	Ignacio Santos
date 日付	December 13, 2021 07:11:01 UTC 2021 年 12 月 13 日 (月) 16 時 11 分 1 秒 (日本時間)
composite number 合成数	94735740903787521751711792885016706755628900495374635966020961650769676593236894437751786687271279282289813540101912117606328309285962122545075482931923249148473769822001293119352535307241915423183959417465929217237950045570102528096724613753<242>
prime factors 素因数	112914122646760523570858770137057685519<39> 839007014208115668320460040688016378526410371764785877317794528064582017538644703650002226444732798622665714035436242933142466569777184968932952711286713017972770232944108523635625076731363782142725514487<204>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2162991457 Step 1 took 13765ms Step 2 took 5469ms ********** Factor found in step 2: 112914122646760523570858770137057685519 Found prime factor of 39 digits: 112914122646760523570858770137057685519 Prime cofactor 839007014208115668320460040688016378526410371764785877317794528064582017538644703650002226444732798622665714035436242933142466569777184968932952711286713017972770232944108523635625076731363782142725514487 has 204 digits
software ソフトウェア	GMP-ECM

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	September 14, 2021 13:00:00 UTC 2021 年 9 月 14 日 (火) 22 時 0 分 0 秒 (日本時間)
40	3e6	1248 / 2104		Dmitry Domanov	September 15, 2021 16:31:08 UTC 2021 年 9 月 16 日 (木) 1 時 31 分 8 秒 (日本時間)

2×10²⁹⁹+45×10¹⁴⁹-29

c270

composite cofactor 合成数の残り

361160421727531936467852813655104126239414410401239596761460068032076248880738129190226536884229577706934622776970757369201547804360492525027128464713947379634722535242039879646655360044218525286591983994931812272884132559843395992652641513551357293086414409025476600023<270>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	September 14, 2021 13:00:00 UTC 2021 年 9 月 14 日 (火) 22 時 0 分 0 秒 (日本時間)
40	3e6	3598	1248	Dmitry Domanov	September 15, 2021 16:31:13 UTC 2021 年 9 月 16 日 (木) 1 時 31 分 13 秒 (日本時間)
40	3e6	3598	2350	Ignacio Santos	December 13, 2021 07:11:20 UTC 2021 年 12 月 13 日 (月) 16 時 11 分 20 秒 (日本時間)