Contributed factorization results of 933...335

Table of contents 目次

28×10¹¹⁸+53
- c113
- ECM
28×10¹²⁷+53
- c118
- ECM
28×10¹²⁹+53
- c108
- ECM
28×10¹³⁹+53
- c102
- ECM
28×10¹⁴⁰+53
- c116
- ECM
28×10¹⁴⁴+53
- c124
- ECM
28×10¹⁴⁵+53
- c113
- ECM
28×10¹⁴⁸+53
- c132
- ECM
28×10¹⁵³+53
- c121
- ECM
28×10¹⁵⁶+53
- c133
- ECM
28×10¹⁵⁷+53
- c149
- ECM
28×10¹⁵⁹+53
- c100
- ECM
28×10¹⁶³+53
- c125
- ECM
28×10¹⁶⁴+53
- c131
- ECM
28×10¹⁶⁵+53
- c125
- ECM
28×10¹⁶⁶+53
- c138
- ECM
28×10¹⁶⁹+53
- c104
- ECM
28×10¹⁷¹+53
- c130
- ECM
28×10¹⁷⁶+53
- c170
- ECM
28×10¹⁷⁸+53
- c167
- ECM
28×10¹⁷⁹+53
- c134
- ECM
28×10¹⁸⁰+53
- c159
- ECM
28×10¹⁸²+53
- c158
- ECM
28×10¹⁸⁶+53
- c130
- ECM
28×10¹⁸⁷+53
- c154
- ECM
28×10¹⁸⁹+53
- c190
- ECM
28×10¹⁹¹+53
- c131
- ECM
28×10¹⁹⁵+53
- c178
- ECM
28×10¹⁹⁷+53
- c167
- ECM
28×10¹⁹⁸+53
- c137
- ECM
28×10¹⁹⁹+53
- c178
- ECM
28×10²⁰¹+53
- c164
- ECM
28×10²⁰⁴+53
- c153
- ECM
28×10²⁰⁵+53
- c192
- ECM
28×10²⁰⁷+53
- c139
- ECM
28×10²⁰⁸+53
- c140
- ECM
28×10²¹⁰+53
- c192
- ECM
28×10²¹¹+53
- c201
- ECM
28×10²¹³+53
- c207
- ECM
28×10²¹⁴+53
- c209
- ECM
28×10²¹⁶+53
- c209
- ECM
28×10²¹⁷+53
- c199
- ECM
28×10²¹⁸+53
- c214
- ECM
28×10²¹⁹+53
- c214
- ECM
28×10²²¹+53
- c172
- ECM
28×10²²²+53
- c222
- ECM
28×10²²³+53
- c140
- ECM
28×10²²⁶+53
- c181
- ECM
28×10²²⁷+53
- c205
- ECM
28×10²²⁹+53
- c204
- ECM
28×10²³⁰+53
- c196
- ECM
28×10²³¹+53
- c221
- ECM
28×10²³²+53
- c210
- ECM
28×10²³⁴+53
- c208
- ECM
28×10²³⁶+53
- c221
- ECM
28×10²³⁷+53
- c219
- ECM
28×10²³⁸+53
- c214
- ECM
28×10²³⁹+53
- c239
- ECM
28×10²⁴³+53
- c239
- ECM
28×10²⁴⁴+53
- c204
- ECM
28×10²⁴⁵+53
- c221
- ECM
28×10²⁵⁰+53
- c237
- ECM
28×10²⁵¹+53
- c198
- ECM
28×10²⁵⁴+53
- c214
- ECM
28×10²⁵⁵+53
- c246
- ECM
28×10²⁵⁶+53
- c232
- ECM
28×10²⁵⁷+53
- c220
- ECM
28×10²⁵⁹+53
- c230
- ECM
28×10²⁶⁰+53
- c210
- ECM
28×10²⁶²+53
- c204
- ECM
28×10²⁶³+53
- c216
- ECM
28×10²⁶⁴+53
- c227
- ECM
28×10²⁶⁵+53
- c191
- ECM
28×10²⁶⁶+53
- c221
- ECM
28×10²⁶⁷+53
- c234
- ECM
28×10²⁶⁹+53
- c203
- ECM
28×10²⁷⁰+53
- c217
- ECM
28×10²⁷¹+53
- c254
- ECM
28×10²⁷⁵+53
- c271
- ECM
28×10²⁷⁶+53
- c258
- ECM
28×10²⁷⁷+53
- c244
- ECM
28×10²⁷⁸+53
- c261
- ECM
28×10²⁷⁹+53
- c246
- ECM
28×10²⁸⁰+53
- c244
- ECM
28×10²⁸¹+53
- c228
- ECM
28×10²⁸²+53
- c237
- ECM
28×10²⁸⁵+53
- c230
- ECM
28×10²⁸⁶+53
- c269
- ECM
28×10²⁸⁷+53
- c186
- ECM
28×10²⁸⁸+53
- c205
- ECM
28×10²⁸⁹+53
- c235
- ECM
28×10²⁹¹+53
- c269
- ECM
28×10²⁹²+53
- c264
- ECM
28×10²⁹³+53
- c269
- ECM
28×10²⁹⁴+53
- c294
- ECM
28×10²⁹⁵+53
- c267
- ECM
28×10²⁹⁶+53
- c257
- ECM
28×10²⁹⁸+53
- c237
- ECM

28×10¹¹⁸+53

c113

name 名前	Dmitry Domanov
date 日付	February 22, 2023 07:42:48 UTC 2023 年 2 月 22 日 (水) 16 時 42 分 48 秒 (日本時間)
composite number 合成数	83401469355172603808766388016400303223913584163252419014939288198245292657245279253437704314983520763242589556051<113>
prime factors 素因数	255674267974052820001080154901450498749434943337<48> 326202046127053454654423800423095987501559670040859999039033688923<66>
factorization results 素因数分解の結果	N=83401469355172603808766388016400303223913584163252419014939288198245292657245279253437704314983520763242589556051 ( 113 digits) SNFS difficulty: 118 digits. Divisors found: r1=255674267974052820001080154901450498749434943337 (pp48) r2=326202046127053454654423800423095987501559670040859999039033688923 (pp66) Version: Msieve v. 1.54 (SVN 1043M) Total time: 0.01 hours. Scaled time: 0.00 units (timescale=0.000). Factorization parameters were as follows: n: 83401469355172603808766388016400303223913584163252419014939288198245292657245279253437704314983520763242589556051 m: 200000000000000000000000000000 deg: 4 c4: 35 c0: 1 skew: 0.41 # Murphy_E = 5.77e-08 type: snfs lss: 1 rlim: 670000 alim: 670000 lpbr: 25 lpba: 25 mfbr: 45 mfba: 45 rlambda: 2.2 alambda: 2.2 Factor base limits: 670000/670000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 45/45 Sieved rational special-q in [335000, 535001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 53493 x 53718 Total sieving time: 0.00 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,118.000,4,0,0,0,0,0,0,0,0,670000,670000,25,25,45,45,2.2,2.2,50000 total time: 0.01 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	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

28×10¹²⁷+53

c118

name 名前	Norman Powell
date 日付	March 8, 2023 00:07:46 UTC 2023 年 3 月 8 日 (水) 9 時 7 分 46 秒 (日本時間)
composite number 合成数	2354943602529475251786304801114234063359344585768673711704762011732814903130124732203998000680972565448541402502103347<118>
prime factors 素因数	764921694697819756064357443823376954506918555183<48> 3078672782917719890696007672956929585219537314805636341565430759374909<70>
factorization results 素因数分解の結果	n: 2354943602529475251786304801114234063359344585768673711704762011732814903130124732203998000680972565448541402502103347 skew: 99666.29 c0: -20485526269103738847703271001 c1: 1454713942147532133567011 c2: -1026514534024989341 c3: -377905006916461 c4: -382492872 c5: 10764 Y0: -46558762192076757487984 Y1: 924944084341 rlim: 5100000 alim: 5100000 lpbr: 27 lpba: 27 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 nfs: commencing nfs on c118: 2354943602529475251786304801114234063359344585768673711704762011732814903130124732203998000680972565448541402502103347 nfs: commencing poly selection with 6 threads nfs: setting deadline of 1725 seconds nfs: completed 114 ranges of size 250 in 1705.8371 seconds nfs: best poly = # norm 3.574623e-011 alpha -6.282352 e 4.040e-010 rroots 5 nfs: commencing lattice sieving with 6 threads nfs: commencing msieve filtering nfs: commencing msieve linear algebra nfs: commencing msieve sqrt prp70 = 3078672782917719890696007672956929585219537314805636341565430759374909 prp48 = 764921694697819756064357443823376954506918555183
software ソフトウェア	YAFU v1.35, r373.
execution environment 実行環境	Windows 10 v22H2

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

28×10¹²⁹+53

c108

name 名前	Lionel Debroux
date 日付	March 9, 2023 08:58:25 UTC 2023 年 3 月 9 日 (木) 17 時 58 分 25 秒 (日本時間)
composite number 合成数	393686071061291904914191907221405680710305674178237450174680212835963803802058987405784185083815334800477509<108>
prime factors 素因数	2050163277964008317445372318368424321595621518487283<52> 192026691382481814520358242273254373345585401266550690023<57>
factorization results 素因数分解の結果	192026691382481814520358242273254373345585401266550690023 2050163277964008317445372318368424321595621518487283
software ソフトウェア	CADO-NFS

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

28×10¹³⁹+53

c102

name 名前	Bart Jans
date 日付	February 24, 2023 10:43:51 UTC 2023 年 2 月 24 日 (金) 19 時 43 分 51 秒 (日本時間)
composite number 合成数	414377407635704050898349481600913688712965497897887258421161056498992082178042232256215360141774262223<102>
prime factors 素因数	28140284159406513191583099100360804670469429690059<50> 14725416605190506768570358001856111074338795321683597<53>
factorization results 素因数分解の結果	02/24/23 10:13:04 v1.34.5 @ LT-BART, nfs: commencing nfs on c102: 414377407635704050898349481600913688712965497897887258421161056498992082178042232256215360141774262223 02/24/23 10:13:04 v1.34.5 @ LT-BART, nfs: commencing poly selection with 4 threads 02/24/23 10:13:04 v1.34.5 @ LT-BART, nfs: setting deadline of 369 seconds 02/24/23 10:34:34 v1.34.5 @ LT-BART, nfs: completed 4 ranges of size 250 in 1290.4763 seconds 02/24/23 10:34:34 v1.34.5 @ LT-BART, nfs: best poly = # norm 7.382850e-014 alpha -4.995024 e 9.758e-009 rroots 4 02/24/23 10:34:34 v1.34.5 @ LT-BART, nfs: commencing lattice sieving with 4 threads 02/24/23 10:37:07 v1.34.5 @ LT-BART, nfs: commencing lattice sieving with 4 threads 02/24/23 10:39:39 v1.34.5 @ LT-BART, nfs: commencing lattice sieving with 4 threads 02/24/23 10:42:11 v1.34.5 @ LT-BART, nfs: commencing lattice sieving with 4 threads 02/24/23 10:44:40 v1.34.5 @ LT-BART, nfs: commencing lattice sieving with 4 threads 02/24/23 10:47:18 v1.34.5 @ LT-BART, nfs: commencing lattice sieving with 4 threads 02/24/23 10:49:59 v1.34.5 @ LT-BART, nfs: commencing lattice sieving with 4 threads 02/24/23 10:52:45 v1.34.5 @ LT-BART, nfs: commencing lattice sieving with 4 threads 02/24/23 10:55:26 v1.34.5 @ LT-BART, nfs: commencing lattice sieving with 4 threads 02/24/23 10:58:14 v1.34.5 @ LT-BART, nfs: commencing lattice sieving with 4 threads 02/24/23 11:00:46 v1.34.5 @ LT-BART, nfs: commencing lattice sieving with 4 threads 02/24/23 11:03:27 v1.34.5 @ LT-BART, nfs: commencing lattice sieving with 4 threads 02/24/23 11:06:21 v1.34.5 @ LT-BART, nfs: commencing lattice sieving with 4 threads 02/24/23 11:09:04 v1.34.5 @ LT-BART, nfs: commencing lattice sieving with 4 threads 02/24/23 11:11:56 v1.34.5 @ LT-BART, nfs: commencing lattice sieving with 4 threads 02/24/23 11:14:38 v1.34.5 @ LT-BART, nfs: commencing lattice sieving with 4 threads 02/24/23 11:17:24 v1.34.5 @ LT-BART, nfs: commencing lattice sieving with 4 threads 02/24/23 11:20:16 v1.34.5 @ LT-BART, nfs: commencing lattice sieving with 4 threads 02/24/23 11:23:05 v1.34.5 @ LT-BART, nfs: commencing msieve filtering 02/24/23 11:23:47 v1.34.5 @ LT-BART, nfs: raising min_rels by 5.00 percent to 4735886 02/24/23 11:23:47 v1.34.5 @ LT-BART, nfs: commencing lattice sieving with 4 threads 02/24/23 11:26:45 v1.34.5 @ LT-BART, nfs: commencing msieve filtering 02/24/23 11:27:29 v1.34.5 @ LT-BART, nfs: raising min_rels by 5.00 percent to 5011042 02/24/23 11:27:29 v1.34.5 @ LT-BART, nfs: commencing lattice sieving with 4 threads 02/24/23 11:30:13 v1.34.5 @ LT-BART, nfs: commencing msieve filtering 02/24/23 11:31:14 v1.34.5 @ LT-BART, nfs: commencing msieve linear algebra 02/24/23 11:34:14 v1.34.5 @ LT-BART, nfs: commencing msieve sqrt 02/24/23 11:35:46 v1.34.5 @ LT-BART, prp50 = 28140284159406513191583099100360804670469429690059 02/24/23 11:35:46 v1.34.5 @ LT-BART, prp53 = 14725416605190506768570358001856111074338795321683597 02/24/23 11:35:46 v1.34.5 @ LT-BART, NFS elapsed time = 4962.0576 seconds.
software ソフトウェア	yafu factor()
execution environment 実行環境	Intel(R) Core(TM) i7-10510U CPU @ 1.80GHz,WIN64

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

28×10¹⁴⁰+53

c116

name 名前	anonymous
date 日付	March 3, 2023 06:26:12 UTC 2023 年 3 月 3 日 (金) 15 時 26 分 12 秒 (日本時間)
composite number 合成数	10291744069251591634887173403302396000764712920430742797254876527090363609540419388872771955204026409256089281777971<116>
prime factors 素因数	10726330647884713981876293229663017355837480433867400661<56> 959484133680064674071198036121333520303252251094660457428711<60>
factorization results 素因数分解の結果	p56 factor: 10726330647884713981876293229663017355837480433867400661 p60 factor: 959484133680064674071198036121333520303252251094660457428711
software ソフトウェア	GGNFS+Msieve 1.54 snfs

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

28×10¹⁴⁴+53

c124

name 名前	Bob Backstrom
date 日付	February 28, 2023 00:37:46 UTC 2023 年 2 月 28 日 (火) 9 時 37 分 46 秒 (日本時間)
composite number 合成数	5947131902399929022637907376524426505947241270684313889816349696757095263177030440936432792167581184194693804518359758041101<124>
prime factors 素因数	13231424225218442121129127908134999897149063<44> 449470276303664187148200954524536830638362638535342301607237952789650135060282827<81>
factorization results 素因数分解の結果	Number: n N=5947131902399929022637907376524426505947241270684313889816349696757095263177030440936432792167581184194693804518359758041101 ( 124 digits) SNFS difficulty: 144 digits. Divisors found: Tue Feb 28 11:34:47 2023 prp44 factor: 13231424225218442121129127908134999897149063 Tue Feb 28 11:34:47 2023 prp81 factor: 449470276303664187148200954524536830638362638535342301607237952789650135060282827 Tue Feb 28 11:34:47 2023 elapsed time 00:03:53 (Msieve 1.44 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.092). Factorization parameters were as follows: # # N = 28x10^144+5 = 93(143)5 # n: 5947131902399929022637907376524426505947241270684313889816349696757095263177030440936432792167581184194693804518359758041101 m: 20000000000000000000000000000 deg: 5 c5: 1750 c0: 1 skew: 0.22 # Murphy_E = 2.779e-09 type: snfs lss: 1 rlim: 1810000 alim: 1810000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.3 alambda: 2.3 Factor base limits: 1810000/1810000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved special-q in [100000, 12105000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 506818 hash collisions in 6585119 relations (6527175 unique) Msieve: matrix is 302359 x 302584 (83.3 MB) Sieving start time: 2023/02/28 10:58:56 Sieving end time : 2023/02/28 11:30:40 Total sieving time: 0hrs 31min 44secs. Total relation processing time: 0hrs 2min 23sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 16sec. Prototype def-par.txt line would be: snfs,144,5,0,0,0,0,0,0,0,0,1810000,1810000,26,26,49,49,2.3,2.3,100000 total time: 0.00 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

28×10¹⁴⁵+53

c113

name 名前	Lionel Debroux
date 日付	March 14, 2023 13:14:43 UTC 2023 年 3 月 14 日 (火) 22 時 14 分 43 秒 (日本時間)
composite number 合成数	33518599210400405996289351803664643845993964119325954450926734057997252621523377982568000937889432954969785488891<113>
prime factors 素因数	2444774842992340243634353706599165814456016013<46> 13710301096429199293093205605618971071119851817838263970502121213607<68>
factorization results 素因数分解の結果	13710301096429199293093205605618971071119851817838263970502121213607 2444774842992340243634353706599165814456016013
software ソフトウェア	CADO-NFS
execution environment 実行環境	10 x Xeon L5640, Debian sid amd64

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

28×10¹⁴⁸+53

c132

name 名前	Bob Backstrom
date 日付	February 23, 2023 22:15:27 UTC 2023 年 2 月 24 日 (金) 7 時 15 分 27 秒 (日本時間)
composite number 合成数	704841855032360307479244939714910502568016439668064961135321229967971730838749727636223422288193892203746108001720293900535584966943<132>
prime factors 素因数	156815251861815207446989093278085234231413486892591534580119819<63> 4494727691751968878296763576521736655553426654241864734759338190865597<70>
factorization results 素因数分解の結果	Number: n N=704841855032360307479244939714910502568016439668064961135321229967971730838749727636223422288193892203746108001720293900535584966943 ( 132 digits) SNFS difficulty: 148 digits. Divisors found: Fri Feb 24 09:11:10 2023 prp63 factor: 156815251861815207446989093278085234231413486892591534580119819 Fri Feb 24 09:11:10 2023 prp70 factor: 4494727691751968878296763576521736655553426654241864734759338190865597 Fri Feb 24 09:11:10 2023 elapsed time 00:05:58 (Msieve 1.44 - dependency 5) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.014). Factorization parameters were as follows: # # N = 28x10^148+5 = 93(147)5 # n: 704841855032360307479244939714910502568016439668064961135321229967971730838749727636223422288193892203746108001720293900535584966943 m: 200000000000000000000000000000 deg: 5 c5: 175 c0: 1 skew: 0.36 # Murphy_E = 2.141e-09 type: snfs lss: 1 rlim: 2100000 alim: 2100000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.3 alambda: 2.3 Factor base limits: 2100000/2100000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved special-q in [100000, 12250000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 568616 hash collisions in 6783812 relations (6671257 unique) Msieve: matrix is 347148 x 347373 (95.1 MB) Sieving start time: 2023/02/24 08:32:50 Sieving end time : 2023/02/24 09:05:05 Total sieving time: 0hrs 32min 15secs. Total relation processing time: 0hrs 3min 8sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 29sec. Prototype def-par.txt line would be: snfs,148,5,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000 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	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

28×10¹⁵³+53

c121

name 名前	Bob Backstrom
date 日付	March 1, 2023 19:56:08 UTC 2023 年 3 月 2 日 (木) 4 時 56 分 8 秒 (日本時間)
composite number 合成数	4697690935029116740945480006901127490395912087926949102107891824593052703760516825448749869172610653967636637064912286373<121>
prime factors 素因数	4341794707501782505687250515253769897988069<43> 1081969842312538247421990613381407664588394465793727818724270101390298580986817<79>
factorization results 素因数分解の結果	GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 4697690935029116740945480006901127490395912087926949102107891824593052703760516825448749869172610653967636637064912286373 (121 digits) Using B1=33640000, B2=144292738606, polynomial Dickson(12), sigma=1:863635246 Step 1 took 53182ms Step 2 took 19020ms ********** Factor found in step 2: 4341794707501782505687250515253769897988069 Found prime factor of 43 digits: 4341794707501782505687250515253769897988069 Prime cofactor 1081969842312538247421990613381407664588394465793727818724270101390298580986817 has 79 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

28×10¹⁵⁶+53

c133

name 名前	Bob Backstrom
date 日付	March 2, 2023 02:46:57 UTC 2023 年 3 月 2 日 (木) 11 時 46 分 57 秒 (日本時間)
composite number 合成数	4441813427440629849969224114090201094845583623008888722204221159272875164216065671988705395659465072285634274924037260941469218563207<133>
prime factors 素因数	1560616172048306437317156049246490211187268053771335457489944307<64> 2846192104757415297031905669897081282182667644344205692071940432572701<70>
factorization results 素因数分解の結果	Number: n N=4441813427440629849969224114090201094845583623008888722204221159272875164216065671988705395659465072285634274924037260941469218563207 ( 133 digits) SNFS difficulty: 156 digits. Divisors found: Thu Mar 2 13:43:12 2023 prp64 factor: 1560616172048306437317156049246490211187268053771335457489944307 Thu Mar 2 13:43:12 2023 prp70 factor: 2846192104757415297031905669897081282182667644344205692071940432572701 Thu Mar 2 13:43:12 2023 elapsed time 00:07:52 (Msieve 1.44 - dependency 5) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.083). Factorization parameters were as follows: # # N = 28x10^156+5 = 93(155)5 # n: 4441813427440629849969224114090201094845583623008888722204221159272875164216065671988705395659465072285634274924037260941469218563207 m: 10000000000000000000000000000000 deg: 5 c5: 56 c0: 1 skew: 0.45 # Murphy_E = 1.223e-09 type: snfs lss: 1 rlim: 2900000 alim: 2900000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4 Factor base limits: 2900000/2900000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved special-q in [100000, 12650000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 775395 hash collisions in 11634506 relations (11644234 unique) Msieve: matrix is 396753 x 396982 (110.1 MB) Sieving start time: 2023/03/02 12:21:25 Sieving end time : 2023/03/02 13:35:04 Total sieving time: 1hrs 13min 39secs. Total relation processing time: 0hrs 4min 6sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 37sec. Prototype def-par.txt line would be: snfs,156,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

28×10¹⁵⁷+53

c149

name 名前	Bob Backstrom
date 日付	March 5, 2023 11:57:59 UTC 2023 年 3 月 5 日 (日) 20 時 57 分 59 秒 (日本時間)
composite number 合成数	22685154083681400665737084955018537653693544348740789003586094678346699958815467343909904828150735895886336259074518881109559469527002745126039653877<149>
prime factors 素因数	13767091774929341066754922910150959947126812091500772937742108584959250403<74> 1647781133048910115427750563200073540086383700498689957456248763628614066759<76>
factorization results 素因数分解の結果	Number: n N=22685154083681400665737084955018537653693544348740789003586094678346699958815467343909904828150735895886336259074518881109559469527002745126039653877 ( 149 digits) SNFS difficulty: 157 digits. Divisors found: Sat Mar 4 11:19:25 2023 prp74 factor: 13767091774929341066754922910150959947126812091500772937742108584959250403 Sat Mar 4 11:19:25 2023 prp76 factor: 1647781133048910115427750563200073540086383700498689957456248763628614066759 Sat Mar 4 11:19:25 2023 elapsed time 00:08:32 (Msieve 1.44 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.091). Factorization parameters were as follows: # # N = 28x10^157+5 = 93(156)5 # n: 22685154083681400665737084955018537653693544348740789003586094678346699958815467343909904828150735895886336259074518881109559469527002745126039653877 m: 10000000000000000000000000000000 deg: 5 c5: 560 c0: 1 skew: 0.28 # Murphy_E = 1.067e-09 type: snfs lss: 1 rlim: 3000000 alim: 3000000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4 Factor base limits: 3000000/3000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved special-q in [100000, 34300000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 676400 hash collisions in 11656679 relations (11786789 unique) Msieve: matrix is 449447 x 449675 (126.6 MB) Sieving start time: 2023/03/04 07:18:34 Sieving end time : 2023/03/04 11:10:17 Total sieving time: 3hrs 51min 43secs. Total relation processing time: 0hrs 5min 22sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 56sec. Prototype def-par.txt line would be: snfs,157,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000 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	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

28×10¹⁵⁹+53

c100

name 名前	Ignacio Santos
date 日付	February 21, 2023 09:08:23 UTC 2023 年 2 月 21 日 (火) 18 時 8 分 23 秒 (日本時間)
composite number 合成数	6018392946547432860981736289903766463318685482196097724554749768354722225736584897589620331031229079<100>
prime factors 素因数	5108867914963575567492436775547465215723937421<46> 1178028683990813625737226210277362204210884088553336499<55>
factorization results 素因数分解の結果	-> makeJobFile(): Adjusted to q0=900000, q1=1000000. -> client 1 q0: 900000 LatSieveTime: 37 LatSieveTime: 39 LatSieveTime: 39 LatSieveTime: 40 LatSieveTime: 41 LatSieveTime: 42 LatSieveTime: 42 LatSieveTime: 42 LatSieveTime: 43 LatSieveTime: 43 LatSieveTime: 43 LatSieveTime: 44 LatSieveTime: 44 LatSieveTime: 44 LatSieveTime: 44 LatSieveTime: 44 LatSieveTime: 45 LatSieveTime: 45 LatSieveTime: 45 LatSieveTime: 45 LatSieveTime: 45 LatSieveTime: 45 LatSieveTime: 46 LatSieveTime: 46 LatSieveTime: 46 LatSieveTime: 46 LatSieveTime: 46 LatSieveTime: 46 LatSieveTime: 46 LatSieveTime: 47 LatSieveTime: 47 LatSieveTime: 48 LatSieveTime: 48 LatSieveTime: 48 LatSieveTime: 49 LatSieveTime: 48 LatSieveTime: 49 LatSieveTime: 49 LatSieveTime: 49 LatSieveTime: 50 LatSieveTime: 50 LatSieveTime: 50 LatSieveTime: 51 LatSieveTime: 51 LatSieveTime: 52 LatSieveTime: 53 -> makeJobFile(): Adjusted to q0=1000001, q1=1100000. -> client 1 q0: 1000001 LatSieveTime: 38 LatSieveTime: 39 LatSieveTime: 40 LatSieveTime: 41 LatSieveTime: 41 LatSieveTime: 42 LatSieveTime: 42 LatSieveTime: 42 LatSieveTime: 42 LatSieveTime: 42 LatSieveTime: 43 LatSieveTime: 43 LatSieveTime: 43 LatSieveTime: 43 LatSieveTime: 43 LatSieveTime: 44 LatSieveTime: 44 LatSieveTime: 45 LatSieveTime: 45 LatSieveTime: 45 LatSieveTime: 45 LatSieveTime: 45 LatSieveTime: 45 LatSieveTime: 46 LatSieveTime: 46 LatSieveTime: 46 LatSieveTime: 46 LatSieveTime: 46 LatSieveTime: 47 LatSieveTime: 47 LatSieveTime: 47 LatSieveTime: 47 LatSieveTime: 48 LatSieveTime: 48 LatSieveTime: 48 LatSieveTime: 49 LatSieveTime: 49 LatSieveTime: 49 LatSieveTime: 50 LatSieveTime: 50 LatSieveTime: 51 LatSieveTime: 51 LatSieveTime: 51 LatSieveTime: 52 LatSieveTime: 52 LatSieveTime: 54 -> makeJobFile(): Adjusted to q0=1100001, q1=1200000. -> client 1 q0: 1100001 LatSieveTime: 38 LatSieveTime: 41 LatSieveTime: 42 LatSieveTime: 42 LatSieveTime: 42 LatSieveTime: 43 LatSieveTime: 44 LatSieveTime: 44 LatSieveTime: 44 LatSieveTime: 45 LatSieveTime: 45 LatSieveTime: 45 LatSieveTime: 45 LatSieveTime: 46 LatSieveTime: 46 LatSieveTime: 46 LatSieveTime: 46 LatSieveTime: 46 LatSieveTime: 47 LatSieveTime: 47 LatSieveTime: 47 LatSieveTime: 47 LatSieveTime: 47 LatSieveTime: 48 LatSieveTime: 48 LatSieveTime: 47 LatSieveTime: 48 LatSieveTime: 48 LatSieveTime: 48 LatSieveTime: 48 LatSieveTime: 49 LatSieveTime: 49 LatSieveTime: 49 LatSieveTime: 49 LatSieveTime: 49 LatSieveTime: 49 LatSieveTime: 49 LatSieveTime: 49 LatSieveTime: 50 LatSieveTime: 51 LatSieveTime: 51 LatSieveTime: 51 LatSieveTime: 51 LatSieveTime: 51 LatSieveTime: 53 LatSieveTime: 58 -> makeJobFile(): Adjusted to q0=1200001, q1=1300000. -> client 1 q0: 1200001 LatSieveTime: 35 LatSieveTime: 40 LatSieveTime: 41 LatSieveTime: 41 LatSieveTime: 41 LatSieveTime: 42 LatSieveTime: 42 LatSieveTime: 43 LatSieveTime: 43 LatSieveTime: 43 LatSieveTime: 43 LatSieveTime: 43 LatSieveTime: 44 LatSieveTime: 44 LatSieveTime: 44 LatSieveTime: 44 LatSieveTime: 45 LatSieveTime: 45 LatSieveTime: 45 LatSieveTime: 45 LatSieveTime: 46 LatSieveTime: 46 LatSieveTime: 46 LatSieveTime: 46 LatSieveTime: 46 LatSieveTime: 46 LatSieveTime: 46 LatSieveTime: 46 LatSieveTime: 47 LatSieveTime: 47 LatSieveTime: 47 LatSieveTime: 47 LatSieveTime: 47 LatSieveTime: 47 LatSieveTime: 47 LatSieveTime: 48 LatSieveTime: 48 LatSieveTime: 48 LatSieveTime: 48 LatSieveTime: 48 LatSieveTime: 49 LatSieveTime: 50 LatSieveTime: 50 LatSieveTime: 50 LatSieveTime: 50 LatSieveTime: 51 Tue Feb 21 10:04:39 2023 Tue Feb 21 10:04:39 2023 Tue Feb 21 10:04:39 2023 Msieve v. 1.52 (SVN 927) Tue Feb 21 10:04:39 2023 random seeds: fea4b2c0 a7c22ba2 Tue Feb 21 10:04:39 2023 factoring 6018392946547432860981736289903766463318685482196097724554749768354722225736584897589620331031229079 (100 digits) Tue Feb 21 10:04:39 2023 searching for 15-digit factors Tue Feb 21 10:04:39 2023 commencing number field sieve (100-digit input) Tue Feb 21 10:04:39 2023 R0: -8441451044519282816 Tue Feb 21 10:04:39 2023 R1: 51078431941 Tue Feb 21 10:04:39 2023 A0: -1087326343744805535525 Tue Feb 21 10:04:39 2023 A1: -53220563045695789560 Tue Feb 21 10:04:39 2023 A2: -20303253834379085 Tue Feb 21 10:04:39 2023 A3: -2377349480812 Tue Feb 21 10:04:39 2023 A4: 1490746986 Tue Feb 21 10:04:39 2023 A5: 140400 Tue Feb 21 10:04:39 2023 skew 4318.83, size 1.474e-009, alpha -6.154, combined = 3.234e-009 rroots = 3 Tue Feb 21 10:04:39 2023 Tue Feb 21 10:04:39 2023 commencing relation filtering Tue Feb 21 10:04:39 2023 estimated available RAM is 65413.5 MB Tue Feb 21 10:04:39 2023 commencing duplicate removal, pass 1 Tue Feb 21 10:04:45 2023 found 275769 hash collisions in 3212110 relations Tue Feb 21 10:04:49 2023 added 29132 free relations Tue Feb 21 10:04:49 2023 commencing duplicate removal, pass 2 Tue Feb 21 10:04:49 2023 found 160144 duplicates and 3081098 unique relations Tue Feb 21 10:04:49 2023 memory use: 12.3 MB Tue Feb 21 10:04:49 2023 reading ideals above 100000 Tue Feb 21 10:04:49 2023 commencing singleton removal, initial pass Tue Feb 21 10:04:59 2023 memory use: 94.1 MB Tue Feb 21 10:04:59 2023 reading all ideals from disk Tue Feb 21 10:04:59 2023 memory use: 94.7 MB Tue Feb 21 10:04:59 2023 keeping 3735759 ideals with weight <= 200, target excess is 20018 Tue Feb 21 10:04:59 2023 commencing in-memory singleton removal Tue Feb 21 10:04:59 2023 begin with 3081098 relations and 3735759 unique ideals Tue Feb 21 10:04:59 2023 reduce to 518209 relations and 582842 ideals in 34 passes Tue Feb 21 10:04:59 2023 max relations containing the same ideal: 50 Tue Feb 21 10:04:59 2023 filtering wants 1000000 more relations Tue Feb 21 10:04:59 2023 elapsed time 00:00:20 -> makeJobFile(): Adjusted to q0=1300001, q1=1400000. -> client 1 q0: 1300001 LatSieveTime: 38 LatSieveTime: 41 LatSieveTime: 40 LatSieveTime: 42 LatSieveTime: 42 LatSieveTime: 43 LatSieveTime: 43 LatSieveTime: 43 LatSieveTime: 43 LatSieveTime: 44 LatSieveTime: 44 LatSieveTime: 44 LatSieveTime: 44 LatSieveTime: 44 LatSieveTime: 44 LatSieveTime: 44 LatSieveTime: 44 LatSieveTime: 44 LatSieveTime: 45 LatSieveTime: 45 LatSieveTime: 45 LatSieveTime: 45 LatSieveTime: 46 LatSieveTime: 46 LatSieveTime: 46 LatSieveTime: 46 LatSieveTime: 46 LatSieveTime: 46 LatSieveTime: 47 LatSieveTime: 47 LatSieveTime: 48 LatSieveTime: 48 LatSieveTime: 48 LatSieveTime: 48 LatSieveTime: 48 LatSieveTime: 49 LatSieveTime: 49 LatSieveTime: 49 LatSieveTime: 49 LatSieveTime: 49 LatSieveTime: 50 LatSieveTime: 50 LatSieveTime: 50 LatSieveTime: 51 LatSieveTime: 52 LatSieveTime: 52 Tue Feb 21 10:05:55 2023 Tue Feb 21 10:05:55 2023 Tue Feb 21 10:05:55 2023 Msieve v. 1.52 (SVN 927) Tue Feb 21 10:05:55 2023 random seeds: ef255cb0 29a1ea40 Tue Feb 21 10:05:55 2023 factoring 6018392946547432860981736289903766463318685482196097724554749768354722225736584897589620331031229079 (100 digits) Tue Feb 21 10:05:56 2023 searching for 15-digit factors Tue Feb 21 10:05:56 2023 commencing number field sieve (100-digit input) Tue Feb 21 10:05:56 2023 R0: -8441451044519282816 Tue Feb 21 10:05:56 2023 R1: 51078431941 Tue Feb 21 10:05:56 2023 A0: -1087326343744805535525 Tue Feb 21 10:05:56 2023 A1: -53220563045695789560 Tue Feb 21 10:05:56 2023 A2: -20303253834379085 Tue Feb 21 10:05:56 2023 A3: -2377349480812 Tue Feb 21 10:05:56 2023 A4: 1490746986 Tue Feb 21 10:05:56 2023 A5: 140400 Tue Feb 21 10:05:56 2023 skew 4318.83, size 1.474e-009, alpha -6.154, combined = 3.234e-009 rroots = 3 Tue Feb 21 10:05:56 2023 Tue Feb 21 10:05:56 2023 commencing relation filtering Tue Feb 21 10:05:56 2023 estimated available RAM is 65413.5 MB Tue Feb 21 10:05:56 2023 commencing duplicate removal, pass 1 Tue Feb 21 10:06:03 2023 found 411087 hash collisions in 4031054 relations Tue Feb 21 10:06:07 2023 added 1210 free relations Tue Feb 21 10:06:07 2023 commencing duplicate removal, pass 2 Tue Feb 21 10:06:08 2023 found 239304 duplicates and 3792960 unique relations Tue Feb 21 10:06:08 2023 memory use: 12.3 MB Tue Feb 21 10:06:08 2023 reading ideals above 100000 Tue Feb 21 10:06:08 2023 commencing singleton removal, initial pass Tue Feb 21 10:06:19 2023 memory use: 94.1 MB Tue Feb 21 10:06:19 2023 reading all ideals from disk Tue Feb 21 10:06:19 2023 memory use: 116.7 MB Tue Feb 21 10:06:20 2023 keeping 4139757 ideals with weight <= 200, target excess is 22455 Tue Feb 21 10:06:20 2023 commencing in-memory singleton removal Tue Feb 21 10:06:20 2023 begin with 3792960 relations and 4139757 unique ideals Tue Feb 21 10:06:20 2023 reduce to 1306084 relations and 1183420 ideals in 15 passes Tue Feb 21 10:06:20 2023 max relations containing the same ideal: 95 Tue Feb 21 10:06:21 2023 removing 280379 relations and 232071 ideals in 48308 cliques Tue Feb 21 10:06:21 2023 commencing in-memory singleton removal Tue Feb 21 10:06:21 2023 begin with 1025705 relations and 1183420 unique ideals Tue Feb 21 10:06:21 2023 reduce to 978252 relations and 901628 ideals in 12 passes Tue Feb 21 10:06:21 2023 max relations containing the same ideal: 80 Tue Feb 21 10:06:21 2023 removing 218779 relations and 170471 ideals in 48308 cliques Tue Feb 21 10:06:21 2023 commencing in-memory singleton removal Tue Feb 21 10:06:21 2023 begin with 759473 relations and 901628 unique ideals Tue Feb 21 10:06:21 2023 reduce to 720219 relations and 689950 ideals in 9 passes Tue Feb 21 10:06:21 2023 max relations containing the same ideal: 61 Tue Feb 21 10:06:21 2023 relations with 0 large ideals: 85 Tue Feb 21 10:06:21 2023 relations with 1 large ideals: 270 Tue Feb 21 10:06:21 2023 relations with 2 large ideals: 4564 Tue Feb 21 10:06:21 2023 relations with 3 large ideals: 31131 Tue Feb 21 10:06:21 2023 relations with 4 large ideals: 105292 Tue Feb 21 10:06:21 2023 relations with 5 large ideals: 197844 Tue Feb 21 10:06:21 2023 relations with 6 large ideals: 209109 Tue Feb 21 10:06:21 2023 relations with 7+ large ideals: 171924 Tue Feb 21 10:06:21 2023 commencing 2-way merge Tue Feb 21 10:06:21 2023 reduce to 412601 relation sets and 382332 unique ideals Tue Feb 21 10:06:21 2023 commencing full merge Tue Feb 21 10:06:25 2023 memory use: 46.2 MB Tue Feb 21 10:06:25 2023 found 199426 cycles, need 192532 Tue Feb 21 10:06:25 2023 weight of 192532 cycles is about 13498938 (70.11/cycle) Tue Feb 21 10:06:25 2023 distribution of cycle lengths: Tue Feb 21 10:06:25 2023 1 relations: 18436 Tue Feb 21 10:06:25 2023 2 relations: 18598 Tue Feb 21 10:06:25 2023 3 relations: 18996 Tue Feb 21 10:06:25 2023 4 relations: 18253 Tue Feb 21 10:06:25 2023 5 relations: 17412 Tue Feb 21 10:06:25 2023 6 relations: 16165 Tue Feb 21 10:06:25 2023 7 relations: 14581 Tue Feb 21 10:06:25 2023 8 relations: 12701 Tue Feb 21 10:06:25 2023 9 relations: 11117 Tue Feb 21 10:06:25 2023 10+ relations: 46273 Tue Feb 21 10:06:25 2023 heaviest cycle: 20 relations Tue Feb 21 10:06:25 2023 commencing cycle optimization Tue Feb 21 10:06:25 2023 start with 1261937 relations Tue Feb 21 10:06:27 2023 pruned 32449 relations Tue Feb 21 10:06:27 2023 memory use: 40.8 MB Tue Feb 21 10:06:27 2023 distribution of cycle lengths: Tue Feb 21 10:06:27 2023 1 relations: 18436 Tue Feb 21 10:06:27 2023 2 relations: 19022 Tue Feb 21 10:06:27 2023 3 relations: 19625 Tue Feb 21 10:06:27 2023 4 relations: 18742 Tue Feb 21 10:06:27 2023 5 relations: 17927 Tue Feb 21 10:06:27 2023 6 relations: 16462 Tue Feb 21 10:06:27 2023 7 relations: 14920 Tue Feb 21 10:06:27 2023 8 relations: 12875 Tue Feb 21 10:06:27 2023 9 relations: 11295 Tue Feb 21 10:06:27 2023 10+ relations: 43228 Tue Feb 21 10:06:27 2023 heaviest cycle: 20 relations Tue Feb 21 10:06:27 2023 RelProcTime: 31 Tue Feb 21 10:06:27 2023 elapsed time 00:00:32 Tue Feb 21 10:06:27 2023 Tue Feb 21 10:06:27 2023 Tue Feb 21 10:06:27 2023 Msieve v. 1.52 (SVN 927) Tue Feb 21 10:06:27 2023 random seeds: 78eb6ad0 cb93df87 Tue Feb 21 10:06:27 2023 factoring 6018392946547432860981736289903766463318685482196097724554749768354722225736584897589620331031229079 (100 digits) Tue Feb 21 10:06:27 2023 searching for 15-digit factors Tue Feb 21 10:06:27 2023 commencing number field sieve (100-digit input) Tue Feb 21 10:06:27 2023 R0: -8441451044519282816 Tue Feb 21 10:06:27 2023 R1: 51078431941 Tue Feb 21 10:06:27 2023 A0: -1087326343744805535525 Tue Feb 21 10:06:27 2023 A1: -53220563045695789560 Tue Feb 21 10:06:27 2023 A2: -20303253834379085 Tue Feb 21 10:06:27 2023 A3: -2377349480812 Tue Feb 21 10:06:27 2023 A4: 1490746986 Tue Feb 21 10:06:27 2023 A5: 140400 Tue Feb 21 10:06:27 2023 skew 4318.83, size 1.474e-009, alpha -6.154, combined = 3.234e-009 rroots = 3 Tue Feb 21 10:06:27 2023 Tue Feb 21 10:06:27 2023 commencing linear algebra Tue Feb 21 10:06:27 2023 read 192532 cycles Tue Feb 21 10:06:27 2023 cycles contain 671839 unique relations Tue Feb 21 10:06:29 2023 read 671839 relations Tue Feb 21 10:06:29 2023 using 20 quadratic characters above 67101614 Tue Feb 21 10:06:31 2023 building initial matrix Tue Feb 21 10:06:34 2023 memory use: 83.0 MB Tue Feb 21 10:06:34 2023 read 192532 cycles Tue Feb 21 10:06:34 2023 matrix is 192349 x 192532 (57.8 MB) with weight 18429064 (95.72/col) Tue Feb 21 10:06:34 2023 sparse part has weight 12829843 (66.64/col) Tue Feb 21 10:06:35 2023 filtering completed in 2 passes Tue Feb 21 10:06:35 2023 matrix is 191915 x 192098 (57.7 MB) with weight 18404625 (95.81/col) Tue Feb 21 10:06:35 2023 sparse part has weight 12818923 (66.73/col) Tue Feb 21 10:06:35 2023 matrix starts at (0, 0) Tue Feb 21 10:06:35 2023 matrix is 191915 x 192098 (57.7 MB) with weight 18404625 (95.81/col) Tue Feb 21 10:06:35 2023 sparse part has weight 12818923 (66.73/col) Tue Feb 21 10:06:35 2023 saving the first 48 matrix rows for later Tue Feb 21 10:06:35 2023 matrix includes 64 packed rows Tue Feb 21 10:06:35 2023 matrix is 191867 x 192098 (55.2 MB) with weight 14695902 (76.50/col) Tue Feb 21 10:06:35 2023 sparse part has weight 12536362 (65.26/col) Tue Feb 21 10:06:35 2023 using block size 8192 and superblock size 12582912 for processor cache size 131072 kB Tue Feb 21 10:06:36 2023 commencing Lanczos iteration Tue Feb 21 10:06:36 2023 memory use: 41.5 MB Tue Feb 21 10:06:40 2023 linear algebra at 6.3%, ETA 0h 0m Tue Feb 21 10:07:47 2023 lanczos halted after 3036 iterations (dim = 191865) Tue Feb 21 10:07:48 2023 recovered 30 nontrivial dependencies Tue Feb 21 10:07:48 2023 BLanczosTime: 81 Tue Feb 21 10:07:48 2023 elapsed time 00:01:21 Tue Feb 21 10:07:48 2023 Tue Feb 21 10:07:48 2023 Tue Feb 21 10:07:48 2023 Msieve v. 1.52 (SVN 927) Tue Feb 21 10:07:48 2023 random seeds: a7e53524 e289ed93 Tue Feb 21 10:07:48 2023 factoring 6018392946547432860981736289903766463318685482196097724554749768354722225736584897589620331031229079 (100 digits) Tue Feb 21 10:07:48 2023 searching for 15-digit factors Tue Feb 21 10:07:48 2023 commencing number field sieve (100-digit input) Tue Feb 21 10:07:48 2023 R0: -8441451044519282816 Tue Feb 21 10:07:48 2023 R1: 51078431941 Tue Feb 21 10:07:48 2023 A0: -1087326343744805535525 Tue Feb 21 10:07:48 2023 A1: -53220563045695789560 Tue Feb 21 10:07:48 2023 A2: -20303253834379085 Tue Feb 21 10:07:48 2023 A3: -2377349480812 Tue Feb 21 10:07:48 2023 A4: 1490746986 Tue Feb 21 10:07:48 2023 A5: 140400 Tue Feb 21 10:07:48 2023 skew 4318.83, size 1.474e-009, alpha -6.154, combined = 3.234e-009 rroots = 3 Tue Feb 21 10:07:48 2023 Tue Feb 21 10:07:48 2023 commencing square root phase Tue Feb 21 10:07:48 2023 reading relations for dependency 1 Tue Feb 21 10:07:48 2023 read 95881 cycles Tue Feb 21 10:07:48 2023 cycles contain 335488 unique relations Tue Feb 21 10:07:49 2023 read 335488 relations Tue Feb 21 10:07:50 2023 multiplying 335488 relations Tue Feb 21 10:07:56 2023 multiply complete, coefficients have about 14.51 million bits Tue Feb 21 10:07:56 2023 initial square root is modulo 216426871 Tue Feb 21 10:08:03 2023 sqrtTime: 15 Tue Feb 21 10:08:03 2023 prp46 factor: 5108867914963575567492436775547465215723937421 Tue Feb 21 10:08:03 2023 prp55 factor: 1178028683990813625737226210277362204210884088553336499 Tue Feb 21 10:08:03 2023 elapsed time 00:00:15
software ソフトウェア	GNFS, Msieve

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

28×10¹⁶³+53

c125

name 名前	Bob Backstrom
date 日付	March 7, 2023 08:32:04 UTC 2023 年 3 月 7 日 (火) 17 時 32 分 4 秒 (日本時間)
composite number 合成数	72293050964643132860069733007545089303660727659055862957331403036910945947365393421821714203962100253115196589846485539792137<125>
prime factors 素因数	1332431139228218369824820449429259967526321156133<49> 54256500644766755732899262708154084395317922049308658915055063696056164551189<77>
factorization results 素因数分解の結果	Number: n N=72293050964643132860069733007545089303660727659055862957331403036910945947365393421821714203962100253115196589846485539792137 ( 125 digits) SNFS difficulty: 163 digits. Divisors found: Tue Mar 7 16:59:58 2023 prp49 factor: 1332431139228218369824820449429259967526321156133 Tue Mar 7 16:59:58 2023 prp77 factor: 54256500644766755732899262708154084395317922049308658915055063696056164551189 Tue Mar 7 16:59:58 2023 elapsed time 00:13:03 (Msieve 1.44 - dependency 10) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.092). Factorization parameters were as follows: # # N = 28x10^163+5 = 93(162)5 # n: 72293050964643132860069733007545089303660727659055862957331403036910945947365393421821714203962100253115196589846485539792137 m: 200000000000000000000000000000000 deg: 5 c5: 175 c0: 1 skew: 0.36 # Murphy_E = 5.673e-10 type: snfs lss: 1 rlim: 3800000 alim: 3800000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4 Factor base limits: 3800000/3800000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved special-q in [100000, 20300000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1231857 hash collisions in 13626501 relations (13277053 unique) Msieve: matrix is 483732 x 483960 (135.1 MB) Sieving start time: 2023/03/07 14:47:53 Sieving end time : 2023/03/07 16:46:20 Total sieving time: 1hrs 58min 27secs. Total relation processing time: 0hrs 5min 51sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 4min 38sec. Prototype def-par.txt line would be: snfs,163,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

28×10¹⁶⁴+53

c131

name 名前	Bob Backstrom
date 日付	March 8, 2023 12:30:08 UTC 2023 年 3 月 8 日 (水) 21 時 30 分 8 秒 (日本時間)
composite number 合成数	61447624164414968266379252940454557846318754904647537586641477840271079406315141590069965717407774858301400938854284080081874731701<131>
prime factors 素因数	148058998105170244299017290778569755358639<42> 415021207429534856718008737244636769747362651755289584615006774243446507735945991570148059<90>
factorization results 素因数分解の結果	GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 61447624164414968266379252940454557846318754904647537586641477840271079406315141590069965717407774858301400938854284080081874731701 (131 digits) Using B1=30080000, B2=144289285156, polynomial Dickson(12), sigma=1:993168803 Step 1 took 47147ms Step 2 took 19570ms ********** Factor found in step 2: 148058998105170244299017290778569755358639 Found prime factor of 42 digits: 148058998105170244299017290778569755358639 Prime cofactor 415021207429534856718008737244636769747362651755289584615006774243446507735945991570148059 has 90 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

28×10¹⁶⁵+53

c125

name 名前	Norman Powell
date 日付	March 18, 2023 00:24:44 UTC 2023 年 3 月 18 日 (土) 9 時 24 分 44 秒 (日本時間)
composite number 合成数	29704184149732985312994566382111414762625479255811674540745202292528102415379226054165941264742773977897106225460386026255843<125>
prime factors 素因数	3472435863980580508255854889272754235889890281785962821<55> 8554278700393904541700696528259959433462964779292956067327404117227783<70>
factorization results 素因数分解の結果	nfs: commencing nfs on c125: 29704184149732985312994566382111414762625479255811674540745202292528102415379226054165941264742773977897106225460386026255843 nfs: commencing poly selection with 6 threads nfs: setting deadline of 4517 seconds nfs: completed 47 ranges of size 250 in 4585.2199 seconds nfs: best poly = # norm 6.480022e-012 alpha -8.073316 e 1.549e-010 rroots 3 nfs: commencing lattice sieving with 6 threads nfa: commencing msieve filtering nfs: commencing msieve linear algebra nfs: commencing msieve sqrt prp70 = 8554278700393904541700696528259959433462964779292956067327404117227783 prp55 = 3472435863980580508255854889272754235889890281785962821 NFS elapsed time = 45001.3316 seconds. Total factoring time = 59303.6240 seconds
software ソフトウェア	YAFU v1.50 r373
execution environment 実行環境	Windows 10 v22H2, Intel Xeon E5-1620

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

28×10¹⁶⁶+53

c138

name 名前	Bob Backstrom
date 日付	March 10, 2023 03:04:24 UTC 2023 年 3 月 10 日 (金) 12 時 4 分 24 秒 (日本時間)
composite number 合成数	612234925448568989784327723294960919721444319435810982405519008381638131926126249473466402826767291960173890077267827048276931802007866049<138>
prime factors 素因数	58542937732211571923266343506787964254760415406163890448133<59> 10457878425047062281795075069008180954783248173964419950739529898486494739655053<80>
factorization results 素因数分解の結果	Number: n N=612234925448568989784327723294960919721444319435810982405519008381638131926126249473466402826767291960173890077267827048276931802007866049 ( 138 digits) SNFS difficulty: 166 digits. Divisors found: Fri Mar 10 13:57:46 2023 prp59 factor: 58542937732211571923266343506787964254760415406163890448133 Fri Mar 10 13:57:46 2023 prp80 factor: 10457878425047062281795075069008180954783248173964419950739529898486494739655053 Fri Mar 10 13:57:46 2023 elapsed time 00:11:57 (Msieve 1.44 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.006). Factorization parameters were as follows: # # N = 28x10^166+5 = 93(165)5 # n: 612234925448568989784327723294960919721444319435810982405519008381638131926126249473466402826767291960173890077267827048276931802007866049 m: 1000000000000000000000000000000000 deg: 5 c5: 56 c0: 1 skew: 0.45 # Murphy_E = 4.989e-10 type: snfs lss: 1 rlim: 4200000 alim: 4200000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4 Factor base limits: 4200000/4200000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved special-q in [100000, 6100000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1725026 hash collisions in 15634395 relations (14886523 unique) Msieve: matrix is 513731 x 513971 (142.6 MB) Sieving start time: 2023/03/10 12:52:29 Sieving end time : 2023/03/10 13:45:33 Total sieving time: 0hrs 53min 4secs. Total relation processing time: 0hrs 7min 21sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 30sec. Prototype def-par.txt line would be: snfs,166,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000 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	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

28×10¹⁶⁹+53

c104

name 名前	Ignacio Santos
date 日付	February 21, 2023 10:53:52 UTC 2023 年 2 月 21 日 (火) 19 時 53 分 52 秒 (日本時間)
composite number 合成数	27117939010615462191011403973330825331815862889271950615932269690796763125346003936132501871137910957001<104>
prime factors 素因数	877553430919545135051487270997218918427867536209263<51> 30901752594368990077669372043171654128881794138656327<53>
factorization results 素因数分解の結果	-> makeJobFile(): Adjusted to q0=1150000, q1=1250000. -> client 1 q0: 1150000 LatSieveTime: 39 LatSieveTime: 40 LatSieveTime: 40 LatSieveTime: 41 LatSieveTime: 43 LatSieveTime: 43 LatSieveTime: 44 LatSieveTime: 45 LatSieveTime: 46 LatSieveTime: 46 LatSieveTime: 46 LatSieveTime: 46 LatSieveTime: 46 LatSieveTime: 47 LatSieveTime: 47 LatSieveTime: 47 LatSieveTime: 47 LatSieveTime: 47 LatSieveTime: 47 LatSieveTime: 47 LatSieveTime: 48 LatSieveTime: 48 LatSieveTime: 48 LatSieveTime: 48 LatSieveTime: 48 LatSieveTime: 48 LatSieveTime: 49 LatSieveTime: 48 LatSieveTime: 49 LatSieveTime: 49 LatSieveTime: 49 LatSieveTime: 49 LatSieveTime: 49 LatSieveTime: 49 LatSieveTime: 50 LatSieveTime: 50 LatSieveTime: 51 LatSieveTime: 51 LatSieveTime: 52 LatSieveTime: 53 LatSieveTime: 53 LatSieveTime: 53 LatSieveTime: 53 LatSieveTime: 54 LatSieveTime: 55 LatSieveTime: 55 -> makeJobFile(): Adjusted to q0=1250001, q1=1350000. -> client 1 q0: 1250001 LatSieveTime: 40 LatSieveTime: 41 LatSieveTime: 41 LatSieveTime: 43 LatSieveTime: 43 LatSieveTime: 43 LatSieveTime: 43 LatSieveTime: 43 LatSieveTime: 43 LatSieveTime: 44 LatSieveTime: 44 LatSieveTime: 44 LatSieveTime: 45 LatSieveTime: 45 LatSieveTime: 45 LatSieveTime: 45 LatSieveTime: 46 LatSieveTime: 46 LatSieveTime: 46 LatSieveTime: 46 LatSieveTime: 46 LatSieveTime: 46 LatSieveTime: 46 LatSieveTime: 47 LatSieveTime: 48 LatSieveTime: 48 LatSieveTime: 48 LatSieveTime: 48 LatSieveTime: 49 LatSieveTime: 49 LatSieveTime: 49 LatSieveTime: 49 LatSieveTime: 49 LatSieveTime: 50 LatSieveTime: 50 LatSieveTime: 50 LatSieveTime: 50 LatSieveTime: 51 LatSieveTime: 50 LatSieveTime: 51 LatSieveTime: 51 LatSieveTime: 51 LatSieveTime: 51 LatSieveTime: 52 LatSieveTime: 52 LatSieveTime: 56 -> makeJobFile(): Adjusted to q0=1350001, q1=1450000. -> client 1 q0: 1350001 LatSieveTime: 38 LatSieveTime: 40 LatSieveTime: 41 LatSieveTime: 41 LatSieveTime: 42 LatSieveTime: 43 LatSieveTime: 43 LatSieveTime: 44 LatSieveTime: 44 LatSieveTime: 44 LatSieveTime: 45 LatSieveTime: 45 LatSieveTime: 45 LatSieveTime: 46 LatSieveTime: 47 LatSieveTime: 47 LatSieveTime: 47 LatSieveTime: 48 LatSieveTime: 48 LatSieveTime: 48 LatSieveTime: 48 LatSieveTime: 48 LatSieveTime: 48 LatSieveTime: 48 LatSieveTime: 48 LatSieveTime: 49 LatSieveTime: 49 LatSieveTime: 50 LatSieveTime: 50 LatSieveTime: 50 LatSieveTime: 50 LatSieveTime: 51 LatSieveTime: 51 LatSieveTime: 51 LatSieveTime: 51 LatSieveTime: 51 LatSieveTime: 52 LatSieveTime: 52 LatSieveTime: 52 LatSieveTime: 52 LatSieveTime: 52 LatSieveTime: 53 LatSieveTime: 53 LatSieveTime: 54 LatSieveTime: 55 LatSieveTime: 55 -> makeJobFile(): Adjusted to q0=1450001, q1=1550000. -> client 1 q0: 1450001 LatSieveTime: 39 LatSieveTime: 40 LatSieveTime: 40 LatSieveTime: 41 LatSieveTime: 41 LatSieveTime: 41 LatSieveTime: 43 LatSieveTime: 42 LatSieveTime: 44 LatSieveTime: 44 LatSieveTime: 45 LatSieveTime: 45 LatSieveTime: 45 LatSieveTime: 46 LatSieveTime: 46 LatSieveTime: 46 LatSieveTime: 47 LatSieveTime: 47 LatSieveTime: 47 LatSieveTime: 47 LatSieveTime: 48 LatSieveTime: 47 LatSieveTime: 48 LatSieveTime: 48 LatSieveTime: 48 LatSieveTime: 48 LatSieveTime: 49 LatSieveTime: 49 LatSieveTime: 49 LatSieveTime: 49 LatSieveTime: 49 LatSieveTime: 49 LatSieveTime: 49 LatSieveTime: 49 LatSieveTime: 49 LatSieveTime: 49 LatSieveTime: 50 LatSieveTime: 50 LatSieveTime: 51 LatSieveTime: 51 LatSieveTime: 51 LatSieveTime: 52 LatSieveTime: 52 LatSieveTime: 53 LatSieveTime: 53 LatSieveTime: 53 -> makeJobFile(): Adjusted to q0=1550001, q1=1650000. -> client 1 q0: 1550001 LatSieveTime: 40 LatSieveTime: 41 LatSieveTime: 41 LatSieveTime: 42 LatSieveTime: 42 LatSieveTime: 43 LatSieveTime: 44 LatSieveTime: 44 LatSieveTime: 45 LatSieveTime: 44 LatSieveTime: 45 LatSieveTime: 45 LatSieveTime: 45 LatSieveTime: 46 LatSieveTime: 46 LatSieveTime: 46 LatSieveTime: 46 LatSieveTime: 46 LatSieveTime: 46 LatSieveTime: 46 LatSieveTime: 47 LatSieveTime: 47 LatSieveTime: 47 LatSieveTime: 47 LatSieveTime: 47 LatSieveTime: 47 LatSieveTime: 48 LatSieveTime: 48 LatSieveTime: 48 LatSieveTime: 48 LatSieveTime: 49 LatSieveTime: 49 LatSieveTime: 49 LatSieveTime: 50 LatSieveTime: 50 LatSieveTime: 50 LatSieveTime: 50 LatSieveTime: 50 LatSieveTime: 51 LatSieveTime: 51 LatSieveTime: 51 LatSieveTime: 51 LatSieveTime: 51 LatSieveTime: 53 LatSieveTime: 55 LatSieveTime: 56 -> makeJobFile(): Adjusted to q0=1650001, q1=1750000. -> client 1 q0: 1650001 LatSieveTime: 38 LatSieveTime: 40 LatSieveTime: 40 LatSieveTime: 41 LatSieveTime: 43 LatSieveTime: 43 LatSieveTime: 44 LatSieveTime: 44 LatSieveTime: 44 LatSieveTime: 45 LatSieveTime: 45 LatSieveTime: 45 LatSieveTime: 46 LatSieveTime: 46 LatSieveTime: 46 LatSieveTime: 46 LatSieveTime: 47 LatSieveTime: 47 LatSieveTime: 47 LatSieveTime: 47 LatSieveTime: 47 LatSieveTime: 48 LatSieveTime: 48 LatSieveTime: 48 LatSieveTime: 48 LatSieveTime: 48 LatSieveTime: 48 LatSieveTime: 48 LatSieveTime: 49 LatSieveTime: 49 LatSieveTime: 49 LatSieveTime: 50 LatSieveTime: 51 LatSieveTime: 51 LatSieveTime: 52 LatSieveTime: 52 LatSieveTime: 52 LatSieveTime: 52 LatSieveTime: 52 LatSieveTime: 52 LatSieveTime: 53 LatSieveTime: 53 LatSieveTime: 53 LatSieveTime: 55 LatSieveTime: 56 LatSieveTime: 58 -> makeJobFile(): Adjusted to q0=1750001, q1=1850000. -> client 1 q0: 1750001 LatSieveTime: 39 LatSieveTime: 40 LatSieveTime: 42 LatSieveTime: 42 LatSieveTime: 43 LatSieveTime: 43 LatSieveTime: 43 LatSieveTime: 43 LatSieveTime: 45 LatSieveTime: 45 LatSieveTime: 45 LatSieveTime: 46 LatSieveTime: 46 LatSieveTime: 46 LatSieveTime: 47 LatSieveTime: 47 LatSieveTime: 47 LatSieveTime: 48 LatSieveTime: 48 LatSieveTime: 48 LatSieveTime: 49 LatSieveTime: 49 LatSieveTime: 49 LatSieveTime: 49 LatSieveTime: 49 LatSieveTime: 49 LatSieveTime: 49 LatSieveTime: 49 LatSieveTime: 49 LatSieveTime: 49 LatSieveTime: 50 LatSieveTime: 50 LatSieveTime: 50 LatSieveTime: 50 LatSieveTime: 51 LatSieveTime: 51 LatSieveTime: 51 LatSieveTime: 51 LatSieveTime: 51 LatSieveTime: 52 LatSieveTime: 52 LatSieveTime: 54 LatSieveTime: 54 LatSieveTime: 54 LatSieveTime: 56 LatSieveTime: 57 Tue Feb 21 11:48:09 2023 Tue Feb 21 11:48:09 2023 Tue Feb 21 11:48:09 2023 Msieve v. 1.52 (SVN 927) Tue Feb 21 11:48:09 2023 random seeds: 88f05b60 1b3d96c2 Tue Feb 21 11:48:09 2023 factoring 27117939010615462191011403973330825331815862889271950615932269690796763125346003936132501871137910957001 (104 digits) Tue Feb 21 11:48:10 2023 searching for 15-digit factors Tue Feb 21 11:48:10 2023 commencing number field sieve (104-digit input) Tue Feb 21 11:48:10 2023 R0: -64818362206617902215 Tue Feb 21 11:48:10 2023 R1: 118565849303 Tue Feb 21 11:48:10 2023 A0: 2070843222804757715098512 Tue Feb 21 11:48:10 2023 A1: 758836454043097028484 Tue Feb 21 11:48:10 2023 A2: -58686712825948437 Tue Feb 21 11:48:10 2023 A3: -29231778235454 Tue Feb 21 11:48:10 2023 A4: 539064170 Tue Feb 21 11:48:10 2023 A5: 23700 Tue Feb 21 11:48:10 2023 skew 12032.31, size 6.166e-010, alpha -5.982, combined = 2.019e-009 rroots = 3 Tue Feb 21 11:48:10 2023 Tue Feb 21 11:48:10 2023 commencing relation filtering Tue Feb 21 11:48:10 2023 estimated available RAM is 65413.5 MB Tue Feb 21 11:48:10 2023 commencing duplicate removal, pass 1 Tue Feb 21 11:48:18 2023 found 449781 hash collisions in 4224933 relations Tue Feb 21 11:48:22 2023 added 31327 free relations Tue Feb 21 11:48:22 2023 commencing duplicate removal, pass 2 Tue Feb 21 11:48:23 2023 found 265095 duplicates and 3991165 unique relations Tue Feb 21 11:48:23 2023 memory use: 20.6 MB Tue Feb 21 11:48:23 2023 reading ideals above 100000 Tue Feb 21 11:48:23 2023 commencing singleton removal, initial pass Tue Feb 21 11:48:35 2023 memory use: 94.1 MB Tue Feb 21 11:48:35 2023 reading all ideals from disk Tue Feb 21 11:48:36 2023 memory use: 126.8 MB Tue Feb 21 11:48:36 2023 keeping 4539638 ideals with weight <= 200, target excess is 22524 Tue Feb 21 11:48:36 2023 commencing in-memory singleton removal Tue Feb 21 11:48:36 2023 begin with 3991165 relations and 4539638 unique ideals Tue Feb 21 11:48:37 2023 reduce to 1165620 relations and 1164075 ideals in 18 passes Tue Feb 21 11:48:37 2023 max relations containing the same ideal: 81 Tue Feb 21 11:48:37 2023 filtering wants 1000000 more relations Tue Feb 21 11:48:37 2023 elapsed time 00:00:28 -> makeJobFile(): Adjusted to q0=1850001, q1=1950000. -> client 1 q0: 1850001 LatSieveTime: 38 LatSieveTime: 41 LatSieveTime: 41 LatSieveTime: 42 LatSieveTime: 43 LatSieveTime: 44 LatSieveTime: 44 LatSieveTime: 44 LatSieveTime: 45 LatSieveTime: 45 LatSieveTime: 46 LatSieveTime: 46 LatSieveTime: 46 LatSieveTime: 46 LatSieveTime: 47 LatSieveTime: 46 LatSieveTime: 47 LatSieveTime: 47 LatSieveTime: 47 LatSieveTime: 48 LatSieveTime: 48 LatSieveTime: 48 LatSieveTime: 48 LatSieveTime: 48 LatSieveTime: 48 LatSieveTime: 49 LatSieveTime: 49 LatSieveTime: 49 LatSieveTime: 49 LatSieveTime: 49 LatSieveTime: 49 LatSieveTime: 50 LatSieveTime: 50 LatSieveTime: 51 LatSieveTime: 51 LatSieveTime: 51 LatSieveTime: 51 LatSieveTime: 51 LatSieveTime: 52 LatSieveTime: 52 LatSieveTime: 53 LatSieveTime: 53 LatSieveTime: 54 LatSieveTime: 54 LatSieveTime: 55 LatSieveTime: 56 Tue Feb 21 11:49:36 2023 Tue Feb 21 11:49:36 2023 Tue Feb 21 11:49:36 2023 Msieve v. 1.52 (SVN 927) Tue Feb 21 11:49:36 2023 random seeds: d93713c0 a3f33ef5 Tue Feb 21 11:49:36 2023 factoring 27117939010615462191011403973330825331815862889271950615932269690796763125346003936132501871137910957001 (104 digits) Tue Feb 21 11:49:36 2023 searching for 15-digit factors Tue Feb 21 11:49:37 2023 commencing number field sieve (104-digit input) Tue Feb 21 11:49:37 2023 R0: -64818362206617902215 Tue Feb 21 11:49:37 2023 R1: 118565849303 Tue Feb 21 11:49:37 2023 A0: 2070843222804757715098512 Tue Feb 21 11:49:37 2023 A1: 758836454043097028484 Tue Feb 21 11:49:37 2023 A2: -58686712825948437 Tue Feb 21 11:49:37 2023 A3: -29231778235454 Tue Feb 21 11:49:37 2023 A4: 539064170 Tue Feb 21 11:49:37 2023 A5: 23700 Tue Feb 21 11:49:37 2023 skew 12032.31, size 6.166e-010, alpha -5.982, combined = 2.019e-009 rroots = 3 Tue Feb 21 11:49:37 2023 Tue Feb 21 11:49:37 2023 commencing relation filtering Tue Feb 21 11:49:37 2023 estimated available RAM is 65413.5 MB Tue Feb 21 11:49:37 2023 commencing duplicate removal, pass 1 Tue Feb 21 11:49:46 2023 found 453739 hash collisions in 4853265 relations Tue Feb 21 11:49:50 2023 added 453 free relations Tue Feb 21 11:49:50 2023 commencing duplicate removal, pass 2 Tue Feb 21 11:49:51 2023 found 335681 duplicates and 4518037 unique relations Tue Feb 21 11:49:51 2023 memory use: 17.3 MB Tue Feb 21 11:49:51 2023 reading ideals above 100000 Tue Feb 21 11:49:51 2023 commencing singleton removal, initial pass Tue Feb 21 11:50:06 2023 memory use: 94.1 MB Tue Feb 21 11:50:06 2023 reading all ideals from disk Tue Feb 21 11:50:06 2023 memory use: 143.7 MB Tue Feb 21 11:50:06 2023 keeping 4797324 ideals with weight <= 200, target excess is 24362 Tue Feb 21 11:50:06 2023 commencing in-memory singleton removal Tue Feb 21 11:50:06 2023 begin with 4518037 relations and 4797324 unique ideals Tue Feb 21 11:50:07 2023 reduce to 1781767 relations and 1600776 ideals in 16 passes Tue Feb 21 11:50:07 2023 max relations containing the same ideal: 102 Tue Feb 21 11:50:07 2023 removing 407490 relations and 331124 ideals in 76366 cliques Tue Feb 21 11:50:07 2023 commencing in-memory singleton removal Tue Feb 21 11:50:07 2023 begin with 1374277 relations and 1600776 unique ideals Tue Feb 21 11:50:08 2023 reduce to 1300140 relations and 1191548 ideals in 9 passes Tue Feb 21 11:50:08 2023 max relations containing the same ideal: 84 Tue Feb 21 11:50:08 2023 removing 319462 relations and 243096 ideals in 76366 cliques Tue Feb 21 11:50:08 2023 commencing in-memory singleton removal Tue Feb 21 11:50:08 2023 begin with 980678 relations and 1191548 unique ideals Tue Feb 21 11:50:08 2023 reduce to 918937 relations and 882957 ideals in 9 passes Tue Feb 21 11:50:08 2023 max relations containing the same ideal: 67 Tue Feb 21 11:50:08 2023 relations with 0 large ideals: 94 Tue Feb 21 11:50:08 2023 relations with 1 large ideals: 258 Tue Feb 21 11:50:08 2023 relations with 2 large ideals: 4104 Tue Feb 21 11:50:08 2023 relations with 3 large ideals: 30608 Tue Feb 21 11:50:08 2023 relations with 4 large ideals: 113560 Tue Feb 21 11:50:08 2023 relations with 5 large ideals: 234291 Tue Feb 21 11:50:08 2023 relations with 6 large ideals: 273792 Tue Feb 21 11:50:08 2023 relations with 7+ large ideals: 262230 Tue Feb 21 11:50:08 2023 commencing 2-way merge Tue Feb 21 11:50:08 2023 reduce to 532750 relation sets and 496770 unique ideals Tue Feb 21 11:50:08 2023 commencing full merge Tue Feb 21 11:50:14 2023 memory use: 62.1 MB Tue Feb 21 11:50:14 2023 found 257240 cycles, need 246970 Tue Feb 21 11:50:14 2023 weight of 246970 cycles is about 17370230 (70.33/cycle) Tue Feb 21 11:50:14 2023 distribution of cycle lengths: Tue Feb 21 11:50:14 2023 1 relations: 24036 Tue Feb 21 11:50:14 2023 2 relations: 23552 Tue Feb 21 11:50:14 2023 3 relations: 24169 Tue Feb 21 11:50:14 2023 4 relations: 22852 Tue Feb 21 11:50:14 2023 5 relations: 22087 Tue Feb 21 11:50:14 2023 6 relations: 20354 Tue Feb 21 11:50:14 2023 7 relations: 18972 Tue Feb 21 11:50:14 2023 8 relations: 16826 Tue Feb 21 11:50:14 2023 9 relations: 14635 Tue Feb 21 11:50:14 2023 10+ relations: 59487 Tue Feb 21 11:50:14 2023 heaviest cycle: 20 relations Tue Feb 21 11:50:14 2023 commencing cycle optimization Tue Feb 21 11:50:14 2023 start with 1618573 relations Tue Feb 21 11:50:16 2023 pruned 43083 relations Tue Feb 21 11:50:16 2023 memory use: 51.9 MB Tue Feb 21 11:50:16 2023 distribution of cycle lengths: Tue Feb 21 11:50:16 2023 1 relations: 24036 Tue Feb 21 11:50:16 2023 2 relations: 24065 Tue Feb 21 11:50:16 2023 3 relations: 24917 Tue Feb 21 11:50:16 2023 4 relations: 23542 Tue Feb 21 11:50:16 2023 5 relations: 22843 Tue Feb 21 11:50:16 2023 6 relations: 20784 Tue Feb 21 11:50:16 2023 7 relations: 19560 Tue Feb 21 11:50:16 2023 8 relations: 16964 Tue Feb 21 11:50:16 2023 9 relations: 14796 Tue Feb 21 11:50:16 2023 10+ relations: 55463 Tue Feb 21 11:50:16 2023 heaviest cycle: 20 relations Tue Feb 21 11:50:17 2023 RelProcTime: 40 Tue Feb 21 11:50:17 2023 elapsed time 00:00:41 Tue Feb 21 11:50:17 2023 Tue Feb 21 11:50:17 2023 Tue Feb 21 11:50:17 2023 Msieve v. 1.52 (SVN 927) Tue Feb 21 11:50:17 2023 random seeds: 11ae3070 5fb074e3 Tue Feb 21 11:50:17 2023 factoring 27117939010615462191011403973330825331815862889271950615932269690796763125346003936132501871137910957001 (104 digits) Tue Feb 21 11:50:17 2023 searching for 15-digit factors Tue Feb 21 11:50:17 2023 commencing number field sieve (104-digit input) Tue Feb 21 11:50:17 2023 R0: -64818362206617902215 Tue Feb 21 11:50:17 2023 R1: 118565849303 Tue Feb 21 11:50:17 2023 A0: 2070843222804757715098512 Tue Feb 21 11:50:17 2023 A1: 758836454043097028484 Tue Feb 21 11:50:17 2023 A2: -58686712825948437 Tue Feb 21 11:50:17 2023 A3: -29231778235454 Tue Feb 21 11:50:17 2023 A4: 539064170 Tue Feb 21 11:50:17 2023 A5: 23700 Tue Feb 21 11:50:17 2023 skew 12032.31, size 6.166e-010, alpha -5.982, combined = 2.019e-009 rroots = 3 Tue Feb 21 11:50:17 2023 Tue Feb 21 11:50:17 2023 commencing linear algebra Tue Feb 21 11:50:17 2023 read 246970 cycles Tue Feb 21 11:50:17 2023 cycles contain 849282 unique relations Tue Feb 21 11:50:19 2023 read 849282 relations Tue Feb 21 11:50:20 2023 using 20 quadratic characters above 67106108 Tue Feb 21 11:50:22 2023 building initial matrix Tue Feb 21 11:50:26 2023 memory use: 104.7 MB Tue Feb 21 11:50:26 2023 read 246970 cycles Tue Feb 21 11:50:26 2023 matrix is 246785 x 246970 (74.3 MB) with weight 23754151 (96.18/col) Tue Feb 21 11:50:26 2023 sparse part has weight 16505261 (66.83/col) Tue Feb 21 11:50:27 2023 filtering completed in 2 passes Tue Feb 21 11:50:27 2023 matrix is 246305 x 246490 (74.2 MB) with weight 23726392 (96.26/col) Tue Feb 21 11:50:27 2023 sparse part has weight 16492485 (66.91/col) Tue Feb 21 11:50:27 2023 matrix starts at (0, 0) Tue Feb 21 11:50:27 2023 matrix is 246305 x 246490 (74.2 MB) with weight 23726392 (96.26/col) Tue Feb 21 11:50:27 2023 sparse part has weight 16492485 (66.91/col) Tue Feb 21 11:50:27 2023 saving the first 48 matrix rows for later Tue Feb 21 11:50:27 2023 matrix includes 64 packed rows Tue Feb 21 11:50:27 2023 matrix is 246257 x 246490 (71.2 MB) with weight 18847614 (76.46/col) Tue Feb 21 11:50:27 2023 sparse part has weight 16211918 (65.77/col) Tue Feb 21 11:50:27 2023 using block size 8192 and superblock size 12582912 for processor cache size 131072 kB Tue Feb 21 11:50:28 2023 commencing Lanczos iteration (32 threads) Tue Feb 21 11:50:28 2023 memory use: 54.8 MB Tue Feb 21 11:50:33 2023 linear algebra at 4.9%, ETA 0h 1m Tue Feb 21 11:52:13 2023 lanczos halted after 3895 iterations (dim = 246257) Tue Feb 21 11:52:13 2023 recovered 31 nontrivial dependencies Tue Feb 21 11:52:13 2023 BLanczosTime: 116 Tue Feb 21 11:52:13 2023 elapsed time 00:01:56 Tue Feb 21 11:52:13 2023 Tue Feb 21 11:52:13 2023 Tue Feb 21 11:52:13 2023 Msieve v. 1.52 (SVN 927) Tue Feb 21 11:52:13 2023 random seeds: c864044c 2f9cd524 Tue Feb 21 11:52:13 2023 factoring 27117939010615462191011403973330825331815862889271950615932269690796763125346003936132501871137910957001 (104 digits) Tue Feb 21 11:52:14 2023 searching for 15-digit factors Tue Feb 21 11:52:14 2023 commencing number field sieve (104-digit input) Tue Feb 21 11:52:14 2023 R0: -64818362206617902215 Tue Feb 21 11:52:14 2023 R1: 118565849303 Tue Feb 21 11:52:14 2023 A0: 2070843222804757715098512 Tue Feb 21 11:52:14 2023 A1: 758836454043097028484 Tue Feb 21 11:52:14 2023 A2: -58686712825948437 Tue Feb 21 11:52:14 2023 A3: -29231778235454 Tue Feb 21 11:52:14 2023 A4: 539064170 Tue Feb 21 11:52:14 2023 A5: 23700 Tue Feb 21 11:52:14 2023 skew 12032.31, size 6.166e-010, alpha -5.982, combined = 2.019e-009 rroots = 3 Tue Feb 21 11:52:14 2023 Tue Feb 21 11:52:14 2023 commencing square root phase Tue Feb 21 11:52:14 2023 reading relations for dependency 1 Tue Feb 21 11:52:14 2023 read 123376 cycles Tue Feb 21 11:52:14 2023 cycles contain 425048 unique relations Tue Feb 21 11:52:15 2023 read 425048 relations Tue Feb 21 11:52:16 2023 multiplying 425048 relations Tue Feb 21 11:52:24 2023 multiply complete, coefficients have about 17.96 million bits Tue Feb 21 11:52:24 2023 initial square root is modulo 144163 Tue Feb 21 11:52:34 2023 GCD is 1, no factor found Tue Feb 21 11:52:34 2023 reading relations for dependency 2 Tue Feb 21 11:52:34 2023 read 123170 cycles Tue Feb 21 11:52:34 2023 cycles contain 424100 unique relations Tue Feb 21 11:52:35 2023 read 424100 relations Tue Feb 21 11:52:36 2023 multiplying 424100 relations Tue Feb 21 11:52:44 2023 multiply complete, coefficients have about 17.92 million bits Tue Feb 21 11:52:44 2023 initial square root is modulo 140333 Tue Feb 21 11:52:53 2023 GCD is 1, no factor found Tue Feb 21 11:52:53 2023 reading relations for dependency 3 Tue Feb 21 11:52:53 2023 read 122918 cycles Tue Feb 21 11:52:54 2023 cycles contain 423802 unique relations Tue Feb 21 11:52:55 2023 read 423802 relations Tue Feb 21 11:52:55 2023 multiplying 423802 relations Tue Feb 21 11:53:03 2023 multiply complete, coefficients have about 17.90 million bits Tue Feb 21 11:53:03 2023 initial square root is modulo 139241 Tue Feb 21 11:53:13 2023 GCD is 1, no factor found Tue Feb 21 11:53:13 2023 reading relations for dependency 4 Tue Feb 21 11:53:13 2023 read 123811 cycles Tue Feb 21 11:53:13 2023 cycles contain 426130 unique relations Tue Feb 21 11:53:15 2023 read 426130 relations Tue Feb 21 11:53:15 2023 multiplying 426130 relations Tue Feb 21 11:53:23 2023 multiply complete, coefficients have about 18.00 million bits Tue Feb 21 11:53:23 2023 initial square root is modulo 148537 Tue Feb 21 11:53:33 2023 sqrtTime: 79 Tue Feb 21 11:53:33 2023 prp51 factor: 877553430919545135051487270997218918427867536209263 Tue Feb 21 11:53:33 2023 prp53 factor: 30901752594368990077669372043171654128881794138656327 Tue Feb 21 11:53:33 2023 elapsed time 00:01:20
software ソフトウェア	GNFS, Msieve

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

28×10¹⁷¹+53

c130

name 名前	Norman Powell
date 日付	March 29, 2023 15:51:43 UTC 2023 年 3 月 30 日 (木) 0 時 51 分 43 秒 (日本時間)
composite number 合成数	3284834501170407747735702823828871344115248860624318118323809085137913032728379566521302828399412804128477881277142127746835096333<130>
prime factors 素因数	1213771729903930720502012961244704842803815569<46> 2706303351974098425296856830275068512223368047282204657016538301464086895136983508157<85>
factorization results 素因数分解の結果	nfs: commencing nfs on c130: 3284834501170407747735702823828871344115248860624318118323809085137913032728379566521302828399412804128477881277142127746835096333 nfs: commencing poly selection with 6 threads nfs: setting deadline of 9035 seconds nfs: completed 72 ranges of size 250 in 8824.7508 seconds nfs: best poly = # norm 2.039666e-012 alpha -5.322775 e 8.308e-011 rroots 5 nfs: commencing lattice sieving with 6 threads nfs: commencing msieve filtering nfs: commencing msieve linear algebra nfs: commencing msieve sqrt prp85 = 2706303351974098425296856830275068512223368047282204657016538301464086895136983508157 prp46 = 1213771729903930720502012961244704842803815569 NFS elapsed time = 80639.9691 seconds.
software ソフトウェア	YAFU R373.
execution environment 実行環境	Windows 10 v22H2

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2078		Caleb Birtwistle	March 23, 2023 11:31:58 UTC 2023 年 3 月 23 日 (木) 20 時 31 分 58 秒 (日本時間)

28×10¹⁷⁶+53

c170

name 名前	Bob Backstrom
date 日付	March 22, 2023 07:37:21 UTC 2023 年 3 月 22 日 (水) 16 時 37 分 21 秒 (日本時間)
composite number 合成数	17256693031503911244883351996755002137518771661194291966667341526626291551767136212039396906928830347201274086298934550201368659139851845743530350224276919139173287921113<170>
prime factors 素因数	30831485935230680024586191185126366855688672729763332890995801954779864609007057353<83> 559710066123830411908065179777584225247796829220237777820266482921168371848579472683921<87>
factorization results 素因数分解の結果	Number: n N=17256693031503911244883351996755002137518771661194291966667341526626291551767136212039396906928830347201274086298934550201368659139851845743530350224276919139173287921113 ( 170 digits) SNFS difficulty: 176 digits. Divisors found: Tue Mar 14 07:55:55 2023 prp83 factor: 30831485935230680024586191185126366855688672729763332890995801954779864609007057353 Tue Mar 14 07:55:55 2023 prp87 factor: 559710066123830411908065179777584225247796829220237777820266482921168371848579472683921 Tue Mar 14 07:55:55 2023 elapsed time 00:20:45 (Msieve 1.44 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.090). Factorization parameters were as follows: # # N = 28x10^176+5 = 93(175)5 # n: 17256693031503911244883351996755002137518771661194291966667341526626291551767136212039396906928830347201274086298934550201368659139851845743530350224276919139173287921113 m: 100000000000000000000000000000000000 deg: 5 c5: 56 c0: 1 skew: 0.45 # Murphy_E = 1.996e-10 type: snfs lss: 1 rlim: 5900000 alim: 5900000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.5 alambda: 2.5 Factor base limits: 5900000/5900000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved special-q in [100000, 14150000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1603168 hash collisions in 13190604 relations (12329194 unique) Msieve: matrix is 764251 x 764476 (215.4 MB) Sieving start time: 2023/03/14 05:55:52 Sieving end time : 2023/03/14 07:34:57 Total sieving time: 1hrs 39min 5secs. Total relation processing time: 0hrs 17min 5sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 52sec. Prototype def-par.txt line would be: snfs,176,5,0,0,0,0,0,0,0,0,5900000,5900000,27,27,51,51,2.5,2.5,100000 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	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

28×10¹⁷⁸+53

c167

name 名前	Bob Backstrom
date 日付	March 16, 2023 15:40:48 UTC 2023 年 3 月 17 日 (金) 0 時 40 分 48 秒 (日本時間)
composite number 合成数	40151696084683361240107158157377640770636449556246036518588550773347280756073374235108830792441923991048455707704104028278038589201124307138870444032795529562169864867<167>
prime factors 素因数	124569814244807250737546326616457687458453<42> 322322838226092184452122782465707673650207186856374567002907084250777273329407283727668856801595489345352333693209143093668439<126>
factorization results 素因数分解の結果	GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 40151696084683361240107158157377640770636449556246036518588550773347280756073374235108830792441923991048455707704104028278038589201124307138870444032795529562169864867 (167 digits) Using B1=35080000, B2=192388936756, polynomial Dickson(12), sigma=1:780148329 Step 1 took 84918ms Step 2 took 31430ms ********** Factor found in step 2: 124569814244807250737546326616457687458453 Found prime factor of 42 digits: 124569814244807250737546326616457687458453 Prime cofactor 322322838226092184452122782465707673650207186856374567002907084250777273329407283727668856801595489345352333693209143093668439 has 126 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

28×10¹⁷⁹+53

c134

name 名前	Ignacio Santos
date 日付	March 31, 2023 12:50:08 UTC 2023 年 3 月 31 日 (金) 21 時 50 分 8 秒 (日本時間)
composite number 合成数	25600498752154755263460789310913689389863826382425268862485113987700922925267968816659906702839968153468084718403967742436964273290301<134>
prime factors 素因数	5570499602658182567059506642287301716137<40> 4595727596845796790393991191976469284284255742138898277671583714040147352814676521555588697973<94>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:288004680 Step 1 took 4391ms Step 2 took 2547ms ********** Factor found in step 2: 5570499602658182567059506642287301716137 Found prime factor of 40 digits: 5570499602658182567059506642287301716137 Prime cofactor 4595727596845796790393991191976469284284255742138898277671583714040147352814676521555588697973 has 94 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	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

28×10¹⁸⁰+53

c159

name 名前	Bob Backstrom
date 日付	March 22, 2023 02:45:39 UTC 2023 年 3 月 22 日 (水) 11 時 45 分 39 秒 (日本時間)
composite number 合成数	373568305379599069489318481471906361473000938576346300006318209629032867934518398285542030192746333601406030286690164194249107968761561241340622696139716592513<159>
prime factors 素因数	655422386685466808910650162063328143401735944971<48> 569965739603081657292058861328666688302622025535947688540455791061366834413928019530231451685250554169592525603<111>
factorization results 素因数分解の結果	Number: n N=373568305379599069489318481471906361473000938576346300006318209629032867934518398285542030192746333601406030286690164194249107968761561241340622696139716592513 ( 159 digits) SNFS difficulty: 181 digits. Divisors found: Wed Mar 22 10:31:58 2023 prp48 factor: 655422386685466808910650162063328143401735944971 Wed Mar 22 10:31:58 2023 prp111 factor: 569965739603081657292058861328666688302622025535947688540455791061366834413928019530231451685250554169592525603 Wed Mar 22 10:31:58 2023 elapsed time 00:26:12 (Msieve 1.44 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.100). Factorization parameters were as follows: # # N = 28x10^180+5 = 93(179)5 # n: 373568305379599069489318481471906361473000938576346300006318209629032867934518398285542030192746333601406030286690164194249107968761561241340622696139716592513 m: 1000000000000000000000000000000000000 deg: 5 c5: 28 c0: 5 skew: 0.71 # Murphy_E = 1.161e-10 type: snfs lss: 1 rlim: 7300000 alim: 7300000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.5 alambda: 2.5 Factor base limits: 7300000/7300000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved special-q in [100000, 7650000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1333408 hash collisions in 13998131 relations (13564634 unique) Msieve: matrix is 859229 x 859458 (242.7 MB) Sieving start time: 2023/03/22 07:17:30 Sieving end time : 2023/03/22 10:05:32 Total sieving time: 2hrs 48min 2secs. Total relation processing time: 0hrs 20min 33sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 2min 35sec. Prototype def-par.txt line would be: snfs,181,5,0,0,0,0,0,0,0,0,7300000,7300000,27,27,52,52,2.5,2.5,100000 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	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

28×10¹⁸²+53

c158

name 名前	Bob Backstrom
date 日付	March 19, 2023 14:36:05 UTC 2023 年 3 月 19 日 (日) 23 時 36 分 5 秒 (日本時間)
composite number 合成数	64361401610416441539331118996484825105785578105094912461229094346276261082058844915648925088885649663433604965985703931636918657566530768681032049398685010597<158>
prime factors 素因数	5514545642445604279202014964961124321882111<43> 116034671211200469298694965438850093479016840274484717<54> 100583786712522494177820118093490669678733690916893761672464231<63>
factorization results 素因数分解の結果	Number: n N=11671206620365062149547362539370291098142827284064696316033971655742459356300660356832528715269468638381831138657627 ( 116 digits) Divisors found: Sun Mar 19 23:50:53 2023 prp54 factor: 116034671211200469298694965438850093479016840274484717 Sun Mar 19 23:50:53 2023 prp63 factor: 100583786712522494177820118093490669678733690916893761672464231 Sun Mar 19 23:50:53 2023 elapsed time 00:06:29 (Msieve 1.44 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.099). Factorization parameters were as follows: # # N = 28x10^182+5 = 93(181)5 # # GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] # Input number is 64361401610416441539331118996484825105785578105094912461229094346276261082058844915648925088885649663433604965985703931636918657566530768681032049398685010597 (158 digits) # Using B1=31190000, B2=144290666536, polynomial Dickson(12), sigma=1:3631805812 # Step 1 took 75413ms # Step 2 took 24982ms # ********** Factor found in step 2: 5514545642445604279202014964961124321882111 # Found prime factor of 43 digits: 5514545642445604279202014964961124321882111 # Composite cofactor 11671206620365062149547362539370291098142827284064696316033971655742459356300660356832528715269468638381831138657627 has 116 digits # n: 11671206620365062149547362539370291098142827284064696316033971655742459356300660356832528715269468638381831138657627 Y0: -54620450178286146297566 Y1: 6075934164523 c0: -1315134627746800632962301484191 c1: 4527986341210711201941570 c2: -6306281291894189957 c3: -21583531203932 c4: 63669766 c5: 24 skew 705207.82, size 4.586e-11, alpha -6.206, combined = 5.094e-10 rroots = 3 skew: 705207.82 type: gnfs rlim: 2600000 alim: 2600000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.6 alambda: 2.6 qintsize: 100000 Factor base limits: 2600000/2600000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved special-q in [100000, 5300000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 925417 hash collisions in 7906940 relations (7129843 unique) Msieve: matrix is 366303 x 366528 (103.8 MB) Sieving start time: 2023/03/19 22:57:36 Sieving end time : 2023/03/19 23:44:13 Total sieving time: 0hrs 46min 37secs. Total relation processing time: 0hrs 3min 47sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 58sec. Prototype def-par.txt line would be: gnfs,115,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2600000,2600000,26,26,49,49,2.6,2.6,60000 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	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	March 18, 2023 16:53:34 UTC 2023 年 3 月 19 日 (日) 1 時 53 分 34 秒 (日本時間)

28×10¹⁸⁶+53

c130

name 名前	Norman Powell
date 日付	April 30, 2023 14:17:42 UTC 2023 年 4 月 30 日 (日) 23 時 17 分 42 秒 (日本時間)
composite number 合成数	4763461864738252845299925603373455821864694119647600102169415188679865302517577549371576839958180370861461948692478222256598203641<130>
prime factors 素因数	51976903096242949505272279984197440173393017137235854293085257<62> 91645742262058135714616676356463371521313309102315634478381154052913<68>
factorization results 素因数分解の結果	n: 4763461864738252845299925603373455821864694119647600102169415188679865302517577549371576839958180370861461948692478222256598203641 skew: 332024.69 c0: 10548276307380618544789323690600 c1: 156102359144577541945739505 c2: 1423685141320292007398 c3: -2622293656752068 c4: -23571297298 c5: 15180 Y0: -12570118559286080013466421 Y1: 856420535636057 rlim: 9000000 alim: 9000000 lpbr: 28 lpba: 28 mfbr: 56 mfba: 56 rlambda: 2.5 alambda: 2.5 nfs: commencing nfs on c130: 4763461864738252845299925603373455821864694119647600102169415188679865302517577549371576839958180370861461948692478222256598203641 nfs: commencing poly selection with 7 threads nfs: setting deadline of 7744 seconds nfs: expecting degree 5 poly E from 7.23e-11 to > 8.31e-11 nfs: searching for avg quality poly E > 7.49e-11 nfs: commencing lattice sieving with 7 threads nfs: commencing msieve filtering nfs: commencing msieve linear algebra nfs: commencing msieve sqrt prp68 = 91645742262058135714616676356463371521313309102315634478381154052913 prp62 = 51976903096242949505272279984197440173393017137235854293085257 NFS elapsed time = 31919.7894 seconds.
software ソフトウェア	YAFU v2.09
execution environment 実行環境	Windows 10 v22H, Intel i7-7700.

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	March 28, 2023 13:03:43 UTC 2023 年 3 月 28 日 (火) 22 時 3 分 43 秒 (日本時間)

28×10¹⁸⁷+53

c154

name 名前	Bob Backstrom
date 日付	March 24, 2023 21:14:07 UTC 2023 年 3 月 25 日 (土) 6 時 14 分 7 秒 (日本時間)
composite number 合成数	3827773818950583027496611429532642496545646148828043476357764925605162614484018099806981900493588470470794755641604838574137395920144754398222469164929119<154>
prime factors 素因数	15564619156082410431167649834181496143991036863<47> 245927881727497888334923646712011457713555662520709083696315234254483884811954408932296746360903850948457313<108>
factorization results 素因数分解の結果	GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 3827773818950583027496611429532642496545646148828043476357764925605162614484018099806981900493588470470794755641604838574137395920144754398222469164929119 (154 digits) Using B1=37140000, B2=192390318136, polynomial Dickson(12), sigma=1:1640157751 Step 1 took 76139ms Step 2 took 27533ms ********** Factor found in step 2: 15564619156082410431167649834181496143991036863 Found prime factor of 47 digits: 15564619156082410431167649834181496143991036863 Prime cofactor 245927881727497888334923646712011457713555662520709083696315234254483884811954408932296746360903850948457313 has 108 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

28×10¹⁸⁹+53

c190

name 名前	Bob Backstrom
date 日付	March 30, 2023 18:59:55 UTC 2023 年 3 月 31 日 (金) 3 時 59 分 55 秒 (日本時間)
composite number 合成数	1866666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667<190>
prime factors 素因数	10468747240717467271640731580271607837137325287335449<53> 178308504708796097581863882200409562778044952435880629354791663662361052845634510389598878039895881731092825473661325380793990133196195683<138>
factorization results 素因数分解の結果	Number: n N=1866666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667 ( 190 digits) SNFS difficulty: 189 digits. Divisors found: Fri Mar 31 05:52:13 2023 prp53 factor: 10468747240717467271640731580271607837137325287335449 Fri Mar 31 05:52:13 2023 prp138 factor: 178308504708796097581863882200409562778044952435880629354791663662361052845634510389598878039895881731092825473661325380793990133196195683 Fri Mar 31 05:52:13 2023 elapsed time 01:01:14 (Msieve 1.44 - dependency 5) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.009). Factorization parameters were as follows: # # N = 28x10^189+5 = 93(188)5 # n: 1866666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667 m: 20000000000000000000000000000000000000 deg: 5 c5: 1750 c0: 1 skew: 0.22 # Murphy_E = 4.726e-11 type: snfs lss: 1 rlim: 10200000 alim: 10200000 lpbr: 27 lpba: 27 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 Factor base limits: 10200000/10200000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 54/54 Sieved special-q in [100000, 16300000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1743651 hash collisions in 15385424 relations (14581666 unique) Msieve: matrix is 1294568 x 1294793 (365.1 MB) Sieving start time: 2023/03/30 23:02:04 Sieving end time : 2023/03/31 04:50:43 Total sieving time: 5hrs 48min 39secs. Total relation processing time: 0hrs 49min 9sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 8min 22sec. Prototype def-par.txt line would be: snfs,189,5,0,0,0,0,0,0,0,0,10200000,10200000,27,27,54,54,2.5,2.5,100000 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	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

28×10¹⁹¹+53

c131

name 名前	Lionel Debroux
date 日付	March 14, 2023 22:05:28 UTC 2023 年 3 月 15 日 (水) 7 時 5 分 28 秒 (日本時間)
composite number 合成数	19063791396139679884141533126795308593942478573702536838239019872086126845802725581597959647179302453419367691155997719868720741031<131>
prime factors 素因数	235834281101287067253341110653626313748668774197564287513029241<63> 80835539715076813351662058032165983905698323082430398015701612316191<68>
factorization results 素因数分解の結果	80835539715076813351662058032165983905698323082430398015701612316191 235834281101287067253341110653626313748668774197564287513029241
software ソフトウェア	CADO-NFS
execution environment 実行環境	10 x Xeon L5640, Debian sid amd64

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2350	Ignacio Santos	February 25, 2023 19:43:17 UTC 2023 年 2 月 26 日 (日) 4 時 43 分 17 秒 (日本時間)
45	11e6	4480	Ignacio Santos	March 5, 2023 17:34:41 UTC 2023 年 3 月 6 日 (月) 2 時 34 分 41 秒 (日本時間)

28×10¹⁹⁵+53

c178

name 名前	Dmitry Domanov
date 日付	March 5, 2023 17:54:15 UTC 2023 年 3 月 6 日 (月) 2 時 54 分 15 秒 (日本時間)
composite number 合成数	4255106106929475436767755037329286020882587345998478285585961780831278363390720469408344607785100839022834759532652589614645376771021993503515882304365147714890349377292650815277<178>
prime factors 素因数	164547057297311589962886796156929772339<39> 25859508986788768298943362861465443853460585116138377673662769648864336713901161664274717171415363559273435581408082269069619782097259277343<140>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1042594758 Step 1 took 9811ms Step 2 took 4485ms ********** Factor found in step 2: 164547057297311589962886796156929772339 Found prime factor of 39 digits: 164547057297311589962886796156929772339 Prime cofactor 25859508986788768298943362861465443853460585116138377673662769648864336713901161664274717171415363559273435581408082269069619782097259277343 has 140 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1000 / 2078		Dmitry Domanov	March 5, 2023 08:46:36 UTC 2023 年 3 月 5 日 (日) 17 時 46 分 36 秒 (日本時間)

28×10¹⁹⁷+53

c167

name 名前	ebina
date 日付	March 20, 2023 20:38:51 UTC 2023 年 3 月 21 日 (火) 5 時 38 分 51 秒 (日本時間)
composite number 合成数	57397839802477629617389455894096785396550290039965826384087316636807420010559997815353469419816885584702627264790372417698454164362910334362823797422511606078507342067<167>
prime factors 素因数	129939888486523702666715347806411230838329801978356437455354429999788554097097917<81> 441726097128600059112455265276379472565244771478930505153048499846248879273719420419951<87>
factorization results 素因数分解の結果	Number: 93335_197 N = 57397839802477629617389455894096785396550290039965826384087316636807420010559997815353469419816885584702627264790372417698454164362910334362823797422511606078507342067 (167 digits) SNFS difficulty: 198 digits. Divisors found: r1=129939888486523702666715347806411230838329801978356437455354429999788554097097917 (pp81) r2=441726097128600059112455265276379472565244771478930505153048499846248879273719420419951 (pp87) Version: Msieve v. 1.53 (SVN unknown) Total time: 12.87 hours. Factorization parameters were as follows: n: 57397839802477629617389455894096785396550290039965826384087316636807420010559997815353469419816885584702627264790372417698454164362910334362823797422511606078507342067 m: 1000000000000000000000000000000000000000 deg: 5 c5: 560 c0: 1 skew: 0.28 # Murphy_E = 2.633e-11 type: snfs lss: 1 rlim: 13800000 alim: 13800000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 13800000/13800000 Large primes per side: 3 Large prime bits: 28/28 Sieved rational special-q in [0, 0) Total raw relations: 26869801 Relations: 2449514 relations Pruned matrix : 1632141 x 1632366 Total sieving time: 12.29 hours. Total relation processing time: 0.15 hours. Matrix solve time: 0.41 hours. time per square root: 0.03 hours. Prototype def-par.txt line would be: snfs,198,5,0,0,0,0,0,0,0,0,13800000,13800000,28,28,55,55,2.5,2.5,100000 total time: 12.87 hours. Intel64 Family 6 Model 158 Stepping 12, GenuineIntel processors: 16, speed: 3.60GHz Windows-post2008Server-6.2.9200 Running Python 3.2

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1000 / 2078		Dmitry Domanov	March 5, 2023 08:46:45 UTC 2023 年 3 月 5 日 (日) 17 時 46 分 45 秒 (日本時間)

28×10¹⁹⁸+53

c137

name 名前	Eric Jeancolas
date 日付	June 27, 2023 04:38:58 UTC 2023 年 6 月 27 日 (火) 13 時 38 分 58 秒 (日本時間)
composite number 合成数	22605218697152068911684312955592219562905535937863794450571525203997922916592804636748877672973774980331766598975439369461595990908436809<137>
prime factors 素因数	9094391935807581249840197457276773566262019410213001825252743<61> 2485621782820681497897634554366845603580644256890497877035290010723760998063<76>
factorization results 素因数分解の結果	22605218697152068911684312955592219562905535937863794450571525203997922916592804636748877672973774980331766598975439369461595990908436809=90943919358075812498401974572767735662620194102130018252527432485621782820681497897634554366845603580644256890497877035290010723760998063 9094391935807581249840197457276773566262019410213001825252743 cado polynomial n: 22605218697152068911684312955592219562905535937863794450571525203997922916592804636748877672973774980331766598975439369461595990908436809 skew: 172519.903 c0: -9971210638089145999999097786979 c1: 74112910992066130788679011 c2: -619931712326940811286 c3: -8668265945131715 c4: 3835847741 c5: 107100 Y0: -184024625202784857350481752 Y1: 470449668706987717 # MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 9.869e-08 # f(x) = 107100x^5+3835847741x^4-8668265945131715x^3-619931712326940811286x^2+74112910992066130788679011x-9971210638089145999999097786979 # g(x) = 470449668706987717*x-184024625202784857350481752 cado parameters (extracts) tasks.lim0 = 3341873 tasks.lim1 = 16407032 tasks.lpb0 = 27 tasks.lpb1 = 28 tasks.sieve.mfb0 = 51 tasks.sieve.mfb1 = 62 tasks.I = 13 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 2485621782820681497897634554366845603580644256890497877035290010723760998063 9094391935807581249840197457276773566262019410213001825252743 Info:Complete Factorization / Discrete logarithm: Square Root Info:Square Root: Total cpu/real time for sqrt: 1520.57/81.5059 Info:HTTP server: Got notification to stop serving Workunits Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 4738.95 Info:Polynomial Selection (root optimized): Rootsieve time: 4737.2 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 17586500 Info:Lattice Sieving: Average J: 3807.37 for 886163 special-q, max bucket fill -bkmult 1.0,1s:1.317420 Info:Lattice Sieving: Total time: 250642s Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 57123.6 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 39286/39.960/49.017/53.070/0.956 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 32113/39.960/43.808/49.700/1.088 Info:Polynomial Selection (size optimized): Total time: 7967.91 Info:Square Root: Total cpu/real time for sqrt: 1520.57/81.5059 Info:Generate Factor Base: Total cpu/real time for makefb: 5.91/0.780964 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 72.13/53.8985 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 53.50000000000001s Info:Quadratic Characters: Total cpu/real time for characters: 39.27/7.58498 Info:Filtering - Singleton removal: Total cpu/real time for purge: 154.29/110.058 Info:Generate Free Relations: Total cpu/real time for freerel: 113.61/7.81321 Info:Filtering - Merging: Merged matrix has 1533603 rows and total weight 262115792 (170.9 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 364.62/21.3596 Info:Filtering - Merging: Total cpu/real time for replay: 28.48/24.8039 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 244.69/174.21 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 136.4s Info:Linear Algebra: Total cpu/real time for bwc: 32339.1/4076.08 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 20891.42, WCT time 2643.86, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.03, comm-wait 0.0 (48128 iterations) Info:Linear Algebra: Lingen CPU time 263.33, WCT time 18.32 Info:Linear Algebra: Mksol: CPU time 11033.02, WCT time 1391.77, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.03, comm-wait 0.0 (24064 iterations) Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 494859/25957.4 Info:root: Cleaning up computation data in /tmp/cado.cpaw4ft0 2485621782820681497897634554366845603580644256890497877035290010723760998063 9094391935807581249840197457276773566262019410213001825252743
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic\|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)] 13th Gen Intel(R) Core(TM) i7-13700KF (24 processeurs)

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2350	Ignacio Santos	February 22, 2023 15:09:30 UTC 2023 年 2 月 23 日 (木) 0 時 9 分 30 秒 (日本時間)
45	11e6	4480	Ignacio Santos	March 2, 2023 10:27:26 UTC 2023 年 3 月 2 日 (木) 19 時 27 分 26 秒 (日本時間)
50	43e6	6454	Ignacio Santos	April 25, 2023 15:38:21 UTC 2023 年 4 月 26 日 (水) 0 時 38 分 21 秒 (日本時間)

28×10¹⁹⁹+53

c178

name 名前	Bob Backstrom
date 日付	May 5, 2023 15:24:18 UTC 2023 年 5 月 6 日 (土) 0 時 24 分 18 秒 (日本時間)
composite number 合成数	1789138379697750052959693132599103274533488343584334618767205531281044657664341445072559149097674213788538044027242912549185193322531050819889381142025622018750758127673714739157<178>
prime factors 素因数	29225228792443686426461996614877281039067888084719257942345317<62> 61218969144917003368932861930167199146153040441856373516816947247672062639391468148849767663770218533080987793337521<116>
factorization results 素因数分解の結果	Number: n N=1789138379697750052959693132599103274533488343584334618767205531281044657664341445072559149097674213788538044027242912549185193322531050819889381142025622018750758127673714739157 ( 178 digits) SNFS difficulty: 199 digits. Divisors found: Sat May 6 01:13:16 2023 prp62 factor: 29225228792443686426461996614877281039067888084719257942345317 Sat May 6 01:13:16 2023 prp116 factor: 61218969144917003368932861930167199146153040441856373516816947247672062639391468148849767663770218533080987793337521 Sat May 6 01:13:16 2023 elapsed time 03:09:39 (Msieve 1.44 - dependency 5) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.105). Factorization parameters were as follows: # # N = 28x10^199+5 = 93(198)5 # n: 1789138379697750052959693132599103274533488343584334618767205531281044657664341445072559149097674213788538044027242912549185193322531050819889381142025622018750758127673714739157 m: 2000000000000000000000000000000000000000 deg: 5 c5: 1750 c0: 1 skew: 0.22 # Murphy_E = 1.819e-11 type: snfs lss: 1 rlim: 14900000 alim: 14900000 lpbr: 27 lpba: 27 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 14900000/14900000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 55/55 Sieved special-q in [100000, 25850000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1645870 hash collisions in 13358967 relations (12458394 unique) Msieve: matrix is 2357117 x 2357354 (670.3 MB) Sieving start time: 2023/05/05 11:12:22 Sieving end time : 2023/05/05 22:03:23 Total sieving time: 10hrs 51min 1secs. Total relation processing time: 2hrs 47min 52sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 17min 53sec. Prototype def-par.txt line would be: snfs,199,5,0,0,0,0,0,0,0,0,14900000,14900000,27,27,55,55,2.5,2.5,100000 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	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1000	Dmitry Domanov	March 5, 2023 08:46:58 UTC 2023 年 3 月 5 日 (日) 17 時 46 分 58 秒 (日本時間)
45	11e6	1000 / 4213	Dmitry Domanov	April 10, 2023 23:55:10 UTC 2023 年 4 月 11 日 (火) 8 時 55 分 10 秒 (日本時間)

28×10²⁰¹+53

c164

name 名前	Bob Backstrom
date 日付	June 15, 2023 10:29:57 UTC 2023 年 6 月 15 日 (木) 19 時 29 分 57 秒 (日本時間)
composite number 合成数	17261481060766914612345271676250407324678348686762681193729949495545117137989887841237241186185311716656651441238360011584617687216581353810368494822052649897929033<164>
prime factors 素因数	218037811371923666702406127507615818359096746640351<51> 79167374466636405634761284956449838933984363581900501352563790036542892181809009987161556584507869098784168064983<113>
factorization results 素因数分解の結果	GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 17261481060766914612345271676250407324678348686762681193729949495545117137989887841237241186185311716656651441238360011584617687216581353810368494822052649897929033 (164 digits) Using B1=42130000, B2=192395152966, polynomial Dickson(12), sigma=1:3734562126 Step 1 took 98662ms Step 2 took 29481ms ********** Factor found in step 2: 218037811371923666702406127507615818359096746640351 Found prime factor of 51 digits: 218037811371923666702406127507615818359096746640351 Prime cofactor 79167374466636405634761284956449838933984363581900501352563790036542892181809009987161556584507869098784168064983 has 113 digits

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 7, 2023 15:52:00 UTC 2023 年 3 月 8 日 (水) 0 時 52 分 0 秒 (日本時間)
45	11e6	1000 / 4038	Dmitry Domanov	April 29, 2023 09:13:45 UTC 2023 年 4 月 29 日 (土) 18 時 13 分 45 秒 (日本時間)

28×10²⁰⁴+53

c153

composite cofactor 合成数の残り	999152586710348258200508028113385904272575618388919324268070015284713793219935515044799927018844110181349367584146205586370751044125923496422773373773921<153>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792		Dmitry Domanov	March 7, 2023 15:52:04 UTC 2023 年 3 月 8 日 (水) 0 時 52 分 4 秒 (日本時間)
45	11e6	5480	1000	Dmitry Domanov	April 28, 2023 00:17:24 UTC 2023 年 4 月 28 日 (金) 9 時 17 分 24 秒 (日本時間)
45	11e6	5480	4480	Ignacio Santos	October 18, 2023 14:29:57 UTC 2023 年 10 月 18 日 (水) 23 時 29 分 57 秒 (日本時間)

28×10²⁰⁵+53

c192

name 名前	Bob Backstrom
date 日付	February 6, 2024 22:36:44 UTC 2024 年 2 月 7 日 (水) 7 時 36 分 44 秒 (日本時間)
composite number 合成数	183972668471405251014741124938998885238223033559407703998930922101986611957151636904645429071046770614101734232578888589591023367644761612868565092341372382148313627853663629808319481580941441<192>
prime factors 素因数	3285176654573508050092836261083411943723929737740423105712703449235005966074180780191<85> 56000844951605550896805615742141220240510649975050908319881496319084538239599302525984561276409897389398751<107>
factorization results 素因数分解の結果	Number: n N=183972668471405251014741124938998885238223033559407703998930922101986611957151636904645429071046770614101734232578888589591023367644761612868565092341372382148313627853663629808319481580941441 ( 192 digits) SNFS difficulty: 206 digits. Divisors found: Wed Feb 7 09:19:21 2024 prp85 factor: 3285176654573508050092836261083411943723929737740423105712703449235005966074180780191 Wed Feb 7 09:19:21 2024 prp107 factor: 56000844951605550896805615742141220240510649975050908319881496319084538239599302525984561276409897389398751 Wed Feb 7 09:19:21 2024 elapsed time 02:46:43 (Msieve 1.44 - dependency 4) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.094). Factorization parameters were as follows: # # N = 28x10^205+5 = 93(204)5 # n: 183972668471405251014741124938998885238223033559407703998930922101986611957151636904645429071046770614101734232578888589591023367644761612868565092341372382148313627853663629808319481580941441 m: 100000000000000000000000000000000000000000 deg: 5 c5: 28 c0: 5 skew: 0.71 # Murphy_E = 1.068e-11 type: snfs lss: 1 rlim: 19300000 alim: 19300000 lpbr: 27 lpba: 27 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 19300000/19300000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 56/56 Sieved special-q in [100000, 64050000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3005530 hash collisions in 19818604 relations (17384985 unique) Msieve: matrix is 2236424 x 2236649 (630.6 MB) Sieving start time: 2024/02/06 03:29:44 Sieving end time : 2024/02/07 06:32:15 Total sieving time: 27hrs 2min 31secs. Total relation processing time: 2hrs 31min 34sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 9min 33sec. Prototype def-par.txt line would be: snfs,206,5,0,0,0,0,0,0,0,0,19300000,19300000,27,27,56,56,2.6,2.6,100000 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	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 7, 2023 15:52:08 UTC 2023 年 3 月 8 日 (水) 0 時 52 分 8 秒 (日本時間)
45	11e6	1000 / 4038	Dmitry Domanov	April 29, 2023 09:15:11 UTC 2023 年 4 月 29 日 (土) 18 時 15 分 11 秒 (日本時間)

28×10²⁰⁷+53

c139

name 名前	Ignacio Santos
date 日付	April 12, 2023 13:55:44 UTC 2023 年 4 月 12 日 (水) 22 時 55 分 44 秒 (日本時間)
composite number 合成数	4549634630249802095658932576190515461839591888790854587810366616933892137486500438535863290302190665129565722819183112986213690706226196707<139>
prime factors 素因数	1550547564950882737677561481581359600930718307487671<52> 2934211586339773159977018616733553485561554473514875260565449283888821676669916591755317<88>
factorization results 素因数分解の結果	Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:4065468730 Step 1 took 82375ms Step 2 took 28016ms ********** Factor found in step 2: 1550547564950882737677561481581359600930718307487671 Found prime factor of 52 digits: 1550547564950882737677561481581359600930718307487671 Prime cofactor 2934211586339773159977018616733553485561554473514875260565449283888821676669916591755317 has 88 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	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2350	Ignacio Santos	February 22, 2023 15:27:47 UTC 2023 年 2 月 23 日 (木) 0 時 27 分 47 秒 (日本時間)
45	11e6	4480	Ignacio Santos	March 2, 2023 12:13:50 UTC 2023 年 3 月 2 日 (木) 21 時 13 分 50 秒 (日本時間)

28×10²⁰⁸+53

c140

name 名前	Jason Parker-Burlingham
date 日付	June 4, 2023 00:55:33 UTC 2023 年 6 月 4 日 (日) 9 時 55 分 33 秒 (日本時間)
composite number 合成数	54038307866868974501523235655524620716184635590816990743238423839691169259914743113949938905804819391460694174414626541801791490339401845241<140>
prime factors 素因数	114745811927849448089074521501296650106841414724875117577097052401<66> 470939260954007646883689704202462784215354088652540182633489115101878376841<75>
factorization results 素因数分解の結果	n: 54038307866868974501523235655524620716184635590816990743238423839691169259914743113949938905804819391460694174414626541801791490339401845241 skew: 646687.756 c0: 8483162736236433447997948181860 c1: 23848907997429280238961577488 c2: 28372434524430799057777 c3: -22144438870814511 c4: -73341765560 c5: 39000 Y0: -1692177857754602141378315235 Y1: 1227352005997226683 # MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=2.023e+14) = 2.511e-07 # f(x) = 39000x^5-73341765560x^4-22144438870814511x^3+28372434524430799057777x^2+23848907997429280238961577488x+8483162736236433447997948181860 # g(x) = 1227352005997226683x-1692177857754602141378315235 PID137419 2023-06-02 17:10:26,613 Info:Square Root: Factors: 470939260954007646883689704202462784215354088652540182633489115101878376841 114745811927849448089074521501296650106841414724875117577097052401 PID137419 2023-06-02 17:10:26,613 Info:Complete Factorization / Discrete logarithm: Square Root PID137419 2023-06-02 17:10:26,613 Info:Square Root: Total cpu/real time for sqrt: 3924.27/195.869 PID137419 2023-06-02 17:10:26,613 Info:HTTP server: Got notification to stop serving Workunits PID137419 2023-06-02 17:10:26,613 Info:Polynomial Selection (root optimized): Aggregate statistics: PID137419 2023-06-02 17:10:26,613 Info:Polynomial Selection (root optimized): Total time: 4381.68 PID137419 2023-06-02 17:10:26,614 Info:Polynomial Selection (root optimized): Rootsieve time: 4380.22 PID137419 2023-06-02 17:10:26,614 Info:Generate Factor Base: Total cpu/real time for makefb: 10.92/0.70977 PID137419 2023-06-02 17:10:26,614 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 148.18/65.6831 PID137419 2023-06-02 17:10:26,614 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: PID137419 2023-06-02 17:10:26,614 Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 65.4s PID137419 2023-06-02 17:10:26,614 Info:Filtering - Singleton removal: Total cpu/real time for purge: 471.3/130.949 PID137419 2023-06-02 17:10:26,614 Info:Square Root: Total cpu/real time for sqrt: 3924.27/195.869 PID137419 2023-06-02 17:10:26,614 Info:Lattice Sieving: Aggregate statistics: PID137419 2023-06-02 17:10:26,614 Info:Lattice Sieving: Total number of relations: 33536971 PID137419 2023-06-02 17:10:26,614 Info:Lattice Sieving: Average J: 3858.5 for 933853 special-q, max bucket fill -bkmult 1.0,1s:1.290410 PID137419 2023-06-02 17:10:26,614 Info:Lattice Sieving: Total time: 141999s PID137419 2023-06-02 17:10:26,614 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 627.43/224.601 PID137419 2023-06-02 17:10:26,615 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: PID137419 2023-06-02 17:10:26,615 Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 174.99999999999997s PID137419 2023-06-02 17:10:26,615 Info:Filtering - Merging: Total cpu/real time for merge: 1306.42/65.4083 PID137419 2023-06-02 17:10:26,615 Info:Filtering - Merging: Total cpu/real time for replay: 73.91/59.6483 PID137419 2023-06-02 17:10:26,615 Info:Linear Algebra: Total cpu/real time for bwc: 123218/5728.96 PID137419 2023-06-02 17:10:26,615 Info:Linear Algebra: Aggregate statistics: PID137419 2023-06-02 17:10:26,615 Info:Linear Algebra: Krylov: CPU time 78633.41, WCT time 3625.78, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (61440 iterations) PID137419 2023-06-02 17:10:26,615 Info:Linear Algebra: Lingen CPU time 3161.17, WCT time 102.94 PID137419 2023-06-02 17:10:26,615 Info:Linear Algebra: Mksol: CPU time 40747.68, WCT time 1944.34, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (30720 iterations) PID137419 2023-06-02 17:10:26,615 Info:Generate Free Relations: Total cpu/real time for freerel: 341.98/16.0393 PID137419 2023-06-02 17:10:26,616 Info:Polynomial Selection (size optimized): Aggregate statistics: PID137419 2023-06-02 17:10:26,616 Info:Polynomial Selection (size optimized): potential collisions: 69931.3 PID137419 2023-06-02 17:10:26,616 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 48444/42.290/50.306/55.010/0.935 PID137419 2023-06-02 17:10:26,616 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 39955/40.400/44.838/50.960/1.006 PID137419 2023-06-02 17:10:26,616 Info:Polynomial Selection (size optimized): Total time: 16537.4 PID137419 2023-06-02 17:10:26,616 Info:Quadratic Characters: Total cpu/real time for characters: 74.02/15.055 PID137419 2023-06-02 17:10:26,630 Info:HTTP server: Shutting down HTTP server PID137419 2023-06-02 17:10:27,001 Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 690047/25013.4
software ソフトウェア	CADO-NFS-3.0.0-dev
execution environment 実行環境	AMD Ryzen Threadripper 2990WX 32-Core Processor w/ 118GB RAM

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2350	Ignacio Santos	February 23, 2023 16:02:57 UTC 2023 年 2 月 24 日 (金) 1 時 2 分 57 秒 (日本時間)
45	11e6	4480	Ignacio Santos	March 3, 2023 13:21:21 UTC 2023 年 3 月 3 日 (金) 22 時 21 分 21 秒 (日本時間)
50	43e6	6454	Ignacio Santos	April 7, 2023 15:08:16 UTC 2023 年 4 月 8 日 (土) 0 時 8 分 16 秒 (日本時間)

28×10²¹⁰+53

c192

composite cofactor 合成数の残り	425906856404718038421176922762760445831091086949788926713875349333735310622432659330859914611985501803950265025224246470981284334244280543321656962340045405683648648005758170584237222277141207<192>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 7, 2023 15:52:18 UTC 2023 年 3 月 8 日 (水) 0 時 52 分 18 秒 (日本時間)
45	11e6	1000 / 4038	Dmitry Domanov	April 29, 2023 09:15:19 UTC 2023 年 4 月 29 日 (土) 18 時 15 分 19 秒 (日本時間)

28×10²¹¹+53

c201

composite cofactor 合成数の残り

591354721787074967785227913107832927896718670187484926908676822842569367281679770663796448296691330477461038830248151286364052263556195200909358359180548782674447780397411365499943474741163496286634863<201>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 7, 2023 15:52:21 UTC 2023 年 3 月 8 日 (水) 0 時 52 分 21 秒 (日本時間)
45	11e6	1792 / 4038	Dmitry Domanov	January 23, 2024 10:20:33 UTC 2024 年 1 月 23 日 (火) 19 時 20 分 33 秒 (日本時間)

28×10²¹³+53

c207

composite cofactor 合成数の残り

204365741251148234391301931296398093953719115272970773180923202529405584359568675884802389093905437708902387002805978121260631534663002534901563043929912331111330317697857878443476067111227842876173374114517<207>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 7, 2023 15:52:24 UTC 2023 年 3 月 8 日 (水) 0 時 52 分 24 秒 (日本時間)
45	11e6	1792 / 4038	Dmitry Domanov	January 23, 2024 10:20:42 UTC 2024 年 1 月 23 日 (火) 19 時 20 分 42 秒 (日本時間)

28×10²¹⁴+53

c209

composite cofactor 合成数の残り

20891180452420896104802098966744598230890072473743330210847969283995826240591041339542490609227858239910585747663638564671447016422333119571790489812378546697570691464497863690270343066758140192504766733182693<209>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 7, 2023 15:52:28 UTC 2023 年 3 月 8 日 (水) 0 時 52 分 28 秒 (日本時間)
45	11e6	1792 / 4038	Dmitry Domanov	January 23, 2024 10:20:52 UTC 2024 年 1 月 23 日 (火) 19 時 20 分 52 秒 (日本時間)

28×10²¹⁶+53

c209

composite cofactor 合成数の残り

59956199640740310459839747570695238279695178826699356499745073733652527292463568873297850183739521061526227673582646414618726160518356463096846703250012523886523170710385785275843003706246013113470094923618853<209>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 7, 2023 15:52:32 UTC 2023 年 3 月 8 日 (水) 0 時 52 分 32 秒 (日本時間)
45	11e6	1792 / 4038	Dmitry Domanov	January 23, 2024 10:21:00 UTC 2024 年 1 月 23 日 (火) 19 時 21 分 0 秒 (日本時間)

28×10²¹⁷+53

c199

composite cofactor 合成数の残り

4674649887351798562051052886719533233264756699510338907604890624881238492041614195122413070295959075089487929486387930428311246878116596874785113061997915402269050127071870580912632572124670010804223<199>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 7, 2023 15:52:35 UTC 2023 年 3 月 8 日 (水) 0 時 52 分 35 秒 (日本時間)
45	11e6	1000 / 4038	Dmitry Domanov	April 29, 2023 09:15:28 UTC 2023 年 4 月 29 日 (土) 18 時 15 分 28 秒 (日本時間)

28×10²¹⁸+53

c214

composite cofactor 合成数の残り

3722241054989464728442574461438247356211822103465007610653585648101989404906711333559326540243407977560203925634941208531908246757994509694443890539525547202669378585149587562397389113774285961169049565627762600783<214>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 7, 2023 15:52:39 UTC 2023 年 3 月 8 日 (水) 0 時 52 分 39 秒 (日本時間)
45	11e6	1792 / 4038	Dmitry Domanov	January 23, 2024 10:21:12 UTC 2024 年 1 月 23 日 (火) 19 時 21 分 12 秒 (日本時間)

28×10²¹⁹+53

c214

composite cofactor 合成数の残り

5813187007111811461736253629349120288334075552745848502118180015716366301370147416194085705061728779531768547959311843226650971061747464775719978781867424041888164662674252875710947580624232477652967268642942635263<214>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 7, 2023 15:52:42 UTC 2023 年 3 月 8 日 (水) 0 時 52 分 42 秒 (日本時間)
45	11e6	1792 / 4038	Dmitry Domanov	January 23, 2024 10:21:22 UTC 2024 年 1 月 23 日 (火) 19 時 21 分 22 秒 (日本時間)

28×10²²¹+53

c172

composite cofactor 合成数の残り	3678363311187444228132994349187583249789114003963464906808829994029289154761322720405892344023525256697666682198292602871518547968609347230934541318959554118168029118762663<172>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 7, 2023 15:52:45 UTC 2023 年 3 月 8 日 (水) 0 時 52 分 45 秒 (日本時間)
45	11e6	1000 / 4038	Dmitry Domanov	April 29, 2023 09:14:03 UTC 2023 年 4 月 29 日 (土) 18 時 14 分 3 秒 (日本時間)

28×10²²²+53

c222

composite cofactor 合成数の残り

169696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969697<222>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	4142	1792	Dmitry Domanov	March 7, 2023 15:52:48 UTC 2023 年 3 月 8 日 (水) 0 時 52 分 48 秒 (日本時間)
40	3e6	4142	2350	Ignacio Santos	September 20, 2024 09:48:22 UTC 2024 年 9 月 20 日 (金) 18 時 48 分 22 秒 (日本時間)

28×10²²³+53

c140

name 名前	Norman Powell
date 日付	March 15, 2023 03:15:33 UTC 2023 年 3 月 15 日 (水) 12 時 15 分 33 秒 (日本時間)
composite number 合成数	45965582449283683718655916276776820340010781046732684406064678465180565006649474784207196517602690333967638169853115698354826865618917630741<140>
prime factors 素因数	34386114109233460991199491621358196007190757168941512383567<59> 1336748383468571974082115826436103399849631187274144981383703680654578581374156123<82>
factorization results 素因数分解の結果	N = 45965582449283683718655916276776820340010781046732684406064678465180565006649474784207196517602690333967638169853115698354826865618917630741 skew: 206350.132 c0: -556455169351525429713961193305527 c1: 2686927712574836090290330861 c2: -5694799750926379273563 c3: 98108378117671979 c4: 1006063396770 c5: -441000 Y0: -284549355817370230559758594 Y1: 4510142091629302824079 # MurphyE (Bf=1.074e+09,Bg=5.369e+08,area=1.074e+14) = 7.865e-07 # f(x) = -441000x^5+1006063396770x^4+98108378117671979x^3-5694799750926379273563x^2+2686927712574836090290330861x-556455169351525429713961193305527 # g(x) = 4510142091629302824079x-284549355817370230559758594 name = c140 slaves.basepath = /home/levi/cado-nfs/temp/client slaves.hostnames = localhost slaves.nrclients = 4 slaves.scriptpath = /home/levi/cado-nfs/build/E5-1620 tasks.I = 14 tasks.execpath = /home/levi/cado-nfs/build/E5-1620 tasks.lim0 = 11000000 tasks.lim1 = 15000000 tasks.lpb0 = 29 tasks.lpb1 = 30 tasks.qmin = 800000 tasks.threads = 7 tasks.workdir = /home/levi/cado-nfs/temp tasks.filter.required_excess = 0.07 tasks.filter.target_density = 125.0 tasks.filter.purge.keep = 175 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.bwc.cpubinding = /home/levi/cado-nfs/parameters/misc/cpubinding.conf tasks.linalg.bwc.interleaving = 0 tasks.linalg.bwc.interval = 3000 tasks.linalg.characters.nchar = 50 tasks.polyselect.P = 140000 tasks.polyselect.admax = 20e4 tasks.polyselect.admin = 1800 tasks.polyselect.adrange = 1200 tasks.polyselect.degree = 5 tasks.polyselect.incr = 120 tasks.polyselect.nq = 15625 tasks.polyselect.nrkeep = 48 tasks.polyselect.ropteffort = 16 tasks.polyselect.sopteffort = 2 tasks.polyselect.threads = 2 tasks.sieve.lambda0 = 1.92 tasks.sieve.lambda1 = 1.93 tasks.sieve.mfb0 = 56 tasks.sieve.mfb1 = 58 tasks.sieve.ncurves0 = 11 tasks.sieve.ncurves1 = 13 tasks.sieve.qrange = 10000 tasks.sieve.rels_wanted = 67000000 tasks.sieve.las.threads = 2 Info:Square Root: Factors: 34386114109233460991199491621358196007190757168941512383567 1336748383468571974082115826436103399849631187274144981383703680654578581374156123 Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 909568/125269 (1.45 days)
software ソフトウェア	CADO-NFS, v3.0.0
execution environment 実行環境	Ubuntu v20.04.4 LTS, Intel Xeon E5-1620

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2350	Ignacio Santos	February 23, 2023 16:02:43 UTC 2023 年 2 月 24 日 (金) 1 時 2 分 43 秒 (日本時間)
45	11e6	4480	Ignacio Santos	March 3, 2023 11:28:34 UTC 2023 年 3 月 3 日 (金) 20 時 28 分 34 秒 (日本時間)

28×10²²⁶+53

c181

composite cofactor 合成数の残り	3226421575270526145565744004066930443561997964274270689521846783313522431870554934659522341613089468201258067605809469995482089762933152384756387607879539897759051823311338272888713<181>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 7, 2023 15:52:55 UTC 2023 年 3 月 8 日 (水) 0 時 52 分 55 秒 (日本時間)
45	11e6	1000 / 4038	Dmitry Domanov	April 29, 2023 09:14:28 UTC 2023 年 4 月 29 日 (土) 18 時 14 分 28 秒 (日本時間)

28×10²²⁷+53

c205

composite cofactor 合成数の残り

3175164050409076323866748987221705059890542598643132369851812263493571844754830423314904620757943694394252288303430662818722382587715634365163708859088368302655392797235055154535505951353274510240716020803<205>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 7, 2023 15:53:00 UTC 2023 年 3 月 8 日 (水) 0 時 53 分 0 秒 (日本時間)
45	11e6	1792 / 4038	Dmitry Domanov	January 23, 2024 10:21:41 UTC 2024 年 1 月 23 日 (火) 19 時 21 分 41 秒 (日本時間)

28×10²²⁹+53

c204

name 名前	Dmitry Domanov
date 日付	January 23, 2024 12:50:28 UTC 2024 年 1 月 23 日 (火) 21 時 50 分 28 秒 (日本時間)
composite number 合成数	969738734260601382257775187884948268392043121946528032421900585271498870587496863982587539063451374650601120188033642986933752704682077618190566650597655534385331271839610116177800463585097936330197478811<204>
prime factors 素因数	12480453523563655696332960952449780867910042710121<50> 77700600577510359126856332469984894433715062261638093527422046889146282429427888753986800784767242231416263962118301525532866938362962047894800799611841891<155>
factorization results 素因数分解の結果	GPU: factor 12480453523563655696332960952449780867910042710121 found in Step 1 with curve 910 (-sigma 3:-1969137757) Computing 1792 Step 1 took 729ms of CPU time / 642913ms of GPU time Throughput: 2.787 curves per second (on average 358.77ms per Step 1) ********** Factor found in step 1: 12480453523563655696332960952449780867910042710121 Found prime factor of 50 digits: 12480453523563655696332960952449780867910042710121 Prime cofactor 77700600577510359126856332469984894433715062261638093527422046889146282429427888753986800784767242231416263962118301525532866938362962047894800799611841891 has 155 digits Peak memory usage: 9470MB

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 7, 2023 15:53:04 UTC 2023 年 3 月 8 日 (水) 0 時 53 分 4 秒 (日本時間)
45	11e6	1792 / 4038	Dmitry Domanov	January 23, 2024 10:21:50 UTC 2024 年 1 月 23 日 (火) 19 時 21 分 50 秒 (日本時間)

28×10²³⁰+53

c196

composite cofactor 合成数の残り

2209963435142965355205686445042361579595324639911118548456723533096886718194419308926237161881705426705497981913721378478055758724093365713138956400636325628318053988951980700363009154372645436871<196>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 7, 2023 15:53:09 UTC 2023 年 3 月 8 日 (水) 0 時 53 分 9 秒 (日本時間)
45	11e6	1000 / 4038	Dmitry Domanov	April 29, 2023 09:15:35 UTC 2023 年 4 月 29 日 (土) 18 時 15 分 35 秒 (日本時間)

28×10²³¹+53

c221

composite cofactor 合成数の残り

18628951761982735141181848578871412142040342241177729351378339724604352105149525072556863740891670431749220752580324490259227804440908699916017293324461884663012322475912696353153344580880915917804373004873370163942794371<221>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	4142	1792	Dmitry Domanov	March 7, 2023 15:53:12 UTC 2023 年 3 月 8 日 (水) 0 時 53 分 12 秒 (日本時間)
40	3e6	4142	2350	Ignacio Santos	September 20, 2024 09:59:40 UTC 2024 年 9 月 20 日 (金) 18 時 59 分 40 秒 (日本時間)

28×10²³²+53

c210

name 名前	Dmitry Domanov
date 日付	January 25, 2024 08:15:25 UTC 2024 年 1 月 25 日 (木) 17 時 15 分 25 秒 (日本時間)
composite number 合成数	121474431420563732781988445882103369642175608542996892193962496456573816126878001172415629517914641919528090351387170826377095636360346238533469358124486296415334621336369575511816536005954768672134889147488707<210>
prime factors 素因数	465453625093895754630909818285351928475383778453<48> 260980739802077487900409537609172380790828017003521027973884924637419094032649686803423511360757101570099457125916108449062147053223960839204951660872874878377719<162>
factorization results 素因数分解の結果	Resuming ECM residue saved by @39d3d7ea92f3 with GMP-ECM 7.0.5-dev on Tue Jan 23 12:00:11 2024 Input number is 121474431420563732781988445882103369642175608542996892193962496456573816126878001172415629517914641919528090351387170826377095636360346238533469358124486296415334621336369575511816536005954768672134889147488707 (210 digits) Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1650589948 Step 1 took 0ms Step 2 took 8924ms ********** Factor found in step 2: 465453625093895754630909818285351928475383778453 Found prime factor of 48 digits: 465453625093895754630909818285351928475383778453 Prime cofactor 260980739802077487900409537609172380790828017003521027973884924637419094032649686803423511360757101570099457125916108449062147053223960839204951660872874878377719 has 162 digits

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 7, 2023 15:53:15 UTC 2023 年 3 月 8 日 (水) 0 時 53 分 15 秒 (日本時間)
45	11e6	1792 / 4038	Dmitry Domanov	January 23, 2024 10:22:03 UTC 2024 年 1 月 23 日 (火) 19 時 22 分 3 秒 (日本時間)

28×10²³⁴+53

c208

composite cofactor 合成数の残り

2520120769638855001098345629887268517857920679310905648117590095975354517548071781694419358622317965477903100716780342096604852318330388289738245131716236058580301270667888584829891498189261215685248218887469<208>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 7, 2023 15:53:29 UTC 2023 年 3 月 8 日 (水) 0 時 53 分 29 秒 (日本時間)
45	11e6	1792 / 4038	Dmitry Domanov	January 23, 2024 10:22:12 UTC 2024 年 1 月 23 日 (火) 19 時 22 分 12 秒 (日本時間)

28×10²³⁶+53

c221

composite cofactor 合成数の残り

16358829059873193356027954641398387168429905669617034609208734612829689426137785152375752255207835669976928936863913911925046286395148089965383003517480152769894006548498430269915276774064065715309990526699632893280245407<221>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	4142	1792	Dmitry Domanov	March 7, 2023 15:54:03 UTC 2023 年 3 月 8 日 (水) 0 時 54 分 3 秒 (日本時間)
40	3e6	4142	2350	Ignacio Santos	September 20, 2024 10:21:07 UTC 2024 年 9 月 20 日 (金) 19 時 21 分 7 秒 (日本時間)

28×10²³⁷+53

c219

composite cofactor 合成数の残り

317504445699159199482716090987109223102939040912217528219840926692291382699725264015900070022877659620662810943707563621703514298318714033917823106429315564731852526830544437579681697891664079183831638000630593355071373<219>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 7, 2023 15:54:08 UTC 2023 年 3 月 8 日 (水) 0 時 54 分 8 秒 (日本時間)
45	11e6	1792 / 4038	Dmitry Domanov	January 23, 2024 10:22:20 UTC 2024 年 1 月 23 日 (火) 19 時 22 分 20 秒 (日本時間)

28×10²³⁸+53

c214

composite cofactor 合成数の残り

7203553734345774000694428433393815985396094644700072286657871507700741177465200832180440732776011609630066303226240208399467341859555627634334690130857174857977834633279656253719655147791639562565539664332716071729<214>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 7, 2023 15:54:11 UTC 2023 年 3 月 8 日 (水) 0 時 54 分 11 秒 (日本時間)
45	11e6	1792 / 4038	Dmitry Domanov	January 23, 2024 10:22:30 UTC 2024 年 1 月 23 日 (火) 19 時 22 分 30 秒 (日本時間)

28×10²³⁹+53

c239

composite cofactor 合成数の残り

14358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974359<239>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 7, 2023 15:54:14 UTC 2023 年 3 月 8 日 (水) 0 時 54 分 14 秒 (日本時間)
45	11e6	1792 / 4038	Dmitry Domanov	March 24, 2023 23:09:47 UTC 2023 年 3 月 25 日 (土) 8 時 9 分 47 秒 (日本時間)

28×10²⁴³+53

c239

composite cofactor 合成数の残り

84430171724938561973253727742849819832044265532890074931777405882973751262683371779215100939285660439941501952447721139204245631492454053402083616023640448082982797352511043767997949552972394349209220980897673647232650353551344098180228263<239>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 7, 2023 15:54:18 UTC 2023 年 3 月 8 日 (水) 0 時 54 分 18 秒 (日本時間)
45	11e6	1792 / 4038	Dmitry Domanov	March 24, 2023 23:10:02 UTC 2023 年 3 月 25 日 (土) 8 時 10 分 2 秒 (日本時間)

28×10²⁴⁴+53

c204

name 名前	Dmitry Domanov
date 日付	March 6, 2023 18:34:19 UTC 2023 年 3 月 7 日 (火) 3 時 34 分 19 秒 (日本時間)
composite number 合成数	505770056919680609474737252360931375448339424779931725279658211538625545048810950415508358790777553584693014471126901987525139392839163555048033395965476539014860829726584252205971590479592848748338648319<204>
prime factors 素因数	20647713806689211599273119295284323<35>
composite cofactor 合成数の残り	24495208605411170312947970231321347057617795814646678473459038340376764427682370890343020961979550019879117442309266886473757973596306098372916782509005745007722116950453<170>
factorization results 素因数分解の結果	Resuming ECM residue saved by @6c563ae6b11c with GMP-ECM 7.0.5-dev on Sun Mar 5 12:07:41 2023 Input number is 505770056919680609474737252360931375448339424779931725279658211538625545048810950415508358790777553584693014471126901987525139392839163555048033395965476539014860829726584252205971590479592848748338648319 (204 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4086539098 Step 1 took 0ms Step 2 took 5137ms ********** Factor found in step 2: 20647713806689211599273119295284323 Found prime factor of 35 digits: 20647713806689211599273119295284323 Composite cofactor 24495208605411170312947970231321347057617795814646678473459038340376764427682370890343020961979550019879117442309266886473757973596306098372916782509005745007722116950453 has 170 digits

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 7, 2023 15:54:22 UTC 2023 年 3 月 8 日 (水) 0 時 54 分 22 秒 (日本時間)
45	11e6	1000 / 4038	Dmitry Domanov	April 29, 2023 09:14:11 UTC 2023 年 4 月 29 日 (土) 18 時 14 分 11 秒 (日本時間)

28×10²⁴⁵+53

c221

composite cofactor 合成数の残り

77588176838188854586357707016550837025165167619400075493742210786289668789890631777348562860768622291609322072998264639973332681698958078904022019003515005426709981412389240592851757158401904540934075020380745582411744647<221>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	4142	1792	Dmitry Domanov	March 7, 2023 15:54:25 UTC 2023 年 3 月 8 日 (水) 0 時 54 分 25 秒 (日本時間)
40	3e6	4142	2350	Ignacio Santos	September 20, 2024 10:21:26 UTC 2024 年 9 月 20 日 (金) 19 時 21 分 26 秒 (日本時間)

28×10²⁵⁰+53

c237

name 名前	Dmitry Domanov
date 日付	March 6, 2023 18:35:50 UTC 2023 年 3 月 7 日 (火) 3 時 35 分 50 秒 (日本時間)
composite number 合成数	474060445594627505550686112727880260014794196628460603328365969407702975236311971874026944596193650031578950543414243378808546691855643162702545923192322997161524302934993374095770030613781761710812174278726368199374252070939980929214447<237>
prime factors 素因数	15615736758153381613981747585313<32>
composite cofactor 合成数の残り	30357866102418013561320527792306729373442115094771613209617405973790448483648590404745341411578895208073304692943942492492040860540750356223218157467435771336213504633021280692334723197296351645341941749519<206>
factorization results 素因数分解の結果	Resuming ECM residue saved by @6c563ae6b11c with GMP-ECM 7.0.5-dev on Sun Mar 5 14:00:05 2023 Input number is 474060445594627505550686112727880260014794196628460603328365969407702975236311971874026944596193650031578950543414243378808546691855643162702545923192322997161524302934993374095770030613781761710812174278726368199374252070939980929214447 (237 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4124029656 Step 1 took 0ms Step 2 took 6154ms ********** Factor found in step 2: 15615736758153381613981747585313 Found prime factor of 32 digits: 15615736758153381613981747585313 Composite cofactor 30357866102418013561320527792306729373442115094771613209617405973790448483648590404745341411578895208073304692943942492492040860540750356223218157467435771336213504633021280692334723197296351645341941749519 has 206 digits

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 7, 2023 15:54:29 UTC 2023 年 3 月 8 日 (水) 0 時 54 分 29 秒 (日本時間)
45	11e6	1792 / 4038	Dmitry Domanov	January 23, 2024 10:22:38 UTC 2024 年 1 月 23 日 (火) 19 時 22 分 38 秒 (日本時間)

28×10²⁵¹+53

c198

composite cofactor 合成数の残り

742886281235721412686926410142578895990149507931962281735156183605847223188298606972528951010521414659778189334323706860800851663895306605625932327133977207051113133544452317239818066529412199936603<198>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 7, 2023 15:54:34 UTC 2023 年 3 月 8 日 (水) 0 時 54 分 34 秒 (日本時間)
45	11e6	1000 / 4038	Dmitry Domanov	April 29, 2023 09:16:24 UTC 2023 年 4 月 29 日 (土) 18 時 16 分 24 秒 (日本時間)

28×10²⁵⁴+53

c214

name 名前	Dmitry Domanov
date 日付	March 6, 2023 18:33:39 UTC 2023 年 3 月 7 日 (火) 3 時 33 分 39 秒 (日本時間)
composite number 合成数	1551286177658169279842250596704333053914111048325511934280901093948314282596182898987066798441780645644799440879451075791432520736772337143749164065560420259702194554105903036837086331691324011146803834126173856563<214>
prime factors 素因数	60902592184534350347658300803809709980171<41>
composite cofactor 合成数の残り	25471595247666716689095473855722633587327361112592767358855075554254314317863061111811768445173479798865788798056054511291162056321934187594600704369653597790072786164882553<173>
factorization results 素因数分解の結果	Resuming ECM residue saved by @6c563ae6b11c with GMP-ECM 7.0.5-dev on Sun Mar 5 11:02:46 2023 Input number is 1551286177658169279842250596704333053914111048325511934280901093948314282596182898987066798441780645644799440879451075791432520736772337143749164065560420259702194554105903036837086331691324011146803834126173856563 (214 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1699237160 Step 1 took 0ms Step 2 took 5513ms ********** Factor found in step 2: 60902592184534350347658300803809709980171 Found prime factor of 41 digits: 60902592184534350347658300803809709980171 Composite cofactor 25471595247666716689095473855722633587327361112592767358855075554254314317863061111811768445173479798865788798056054511291162056321934187594600704369653597790072786164882553 has 173 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	4142	1792	Dmitry Domanov	March 7, 2023 15:54:38 UTC 2023 年 3 月 8 日 (水) 0 時 54 分 38 秒 (日本時間)
40	3e6	4142	2350	Ignacio Santos	March 8, 2023 23:36:03 UTC 2023 年 3 月 9 日 (木) 8 時 36 分 3 秒 (日本時間)
45	11e6	4480		Ignacio Santos	March 10, 2023 16:53:28 UTC 2023 年 3 月 11 日 (土) 1 時 53 分 28 秒 (日本時間)
50	43e6	1792 / 6385		Dmitry Domanov	May 26, 2024 22:12:43 UTC 2024 年 5 月 27 日 (月) 7 時 12 分 43 秒 (日本時間)

28×10²⁵⁵+53

c246

composite cofactor 合成数の残り

108765196279411603842785426048070651626589454570800770097669633063118382936882849838927551377736575278792375281993346661910317242818189772708557057648901840251986804308914569960031056762093707827071429968649312199431644502990336050153320040282947<246>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 7, 2023 15:54:41 UTC 2023 年 3 月 8 日 (水) 0 時 54 分 41 秒 (日本時間)
45	11e6	1792 / 4038	Dmitry Domanov	March 24, 2023 23:10:09 UTC 2023 年 3 月 25 日 (土) 8 時 10 分 9 秒 (日本時間)

28×10²⁵⁶+53

c232

name 名前	Dmitry Domanov
date 日付	March 28, 2023 12:54:20 UTC 2023 年 3 月 28 日 (火) 21 時 54 分 20 秒 (日本時間)
composite number 合成数	6981793445191452077341828073584293882419776751489290601664275747380030504265082705380722971295580313578388513364916491529935237001841249392647920062492072608978966657765804662399306265129603189032904493139099527117909438834038470473<232>
prime factors 素因数	8735826298036234741625631815769936955237<40> 799213858769252370231331723937515058376098385966392906708917200013738105006240310637593695829966695857620003159337991475760819611553741634709615173473215161244815103351538493583886602594167829<192>
factorization results 素因数分解の結果	Resuming ECM residue saved by @3263f46be529 with GMP-ECM 7.0.5-dev on Sat Mar 25 01:49:15 2023 Input number is 6981793445191452077341828073584293882419776751489290601664275747380030504265082705380722971295580313578388513364916491529935237001841249392647920062492072608978966657765804662399306265129603189032904493139099527117909438834038470473 (232 digits) Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3330958328 Step 1 took 0ms Step 2 took 14576ms ********** Factor found in step 2: 8735826298036234741625631815769936955237 Found prime factor of 40 digits: 8735826298036234741625631815769936955237 Prime cofactor 799213858769252370231331723937515058376098385966392906708917200013738105006240310637593695829966695857620003159337991475760819611553741634709615173473215161244815103351538493583886602594167829 has 192 digits

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 7, 2023 15:54:44 UTC 2023 年 3 月 8 日 (水) 0 時 54 分 44 秒 (日本時間)
45	11e6	1792 / 4038	Dmitry Domanov	March 24, 2023 23:10:17 UTC 2023 年 3 月 25 日 (土) 8 時 10 分 17 秒 (日本時間)

28×10²⁵⁷+53

c220

composite cofactor 合成数の残り

6685695289047789718456843394394982008826800182292921119446582913990195594951079096170036663446389716008683214454086848440365827011014925863824277547761579306944385646699403134246057659435365465534562240328007046328103157<220>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2205	1792	Dmitry Domanov	March 7, 2023 15:54:49 UTC 2023 年 3 月 8 日 (水) 0 時 54 分 49 秒 (日本時間)
40	3e6	2205	413	Thomas Kozlowski	October 3, 2024 13:24:33 UTC 2024 年 10 月 3 日 (木) 22 時 24 分 33 秒 (日本時間)

28×10²⁵⁹+53

c230

name 名前	Dmitry Domanov
date 日付	March 5, 2023 16:05:46 UTC 2023 年 3 月 6 日 (月) 1 時 5 分 46 秒 (日本時間)
composite number 合成数	91778545363726929998881463500686573386432432522980814913382578666155124902692573233197133779708130431492716520764783364066781435852704250708500464114076286733653905153025385315423714342941682815062007127921247051488806896850536869<230>
prime factors 素因数	37158283155798669002467135204657649569<38>
composite cofactor 合成数の残り	2469935033836583332027966770906738669032371000003388234720767121339223480017112486250707278167169791530730401837915193840410552744925004844298797040110026154770940827347763700395961638219981701<193>
factorization results 素因数分解の結果	GPU: factor 37158283155798669002467135204657649569 found in Step 1 with curve 999 (-sigma 3:-176802390) Computing 1792 Step 1 took 294ms of CPU time / 267961ms of GPU time Throughput: 6.688 curves per second (on average 149.53ms per Step 1) ********** Factor found in step 1: 37158283155798669002467135204657649569 Found prime factor of 38 digits: 37158283155798669002467135204657649569 Composite cofactor 2469935033836583332027966770906738669032371000003388234720767121339223480017112486250707278167169791530730401837915193840410552744925004844298797040110026154770940827347763700395961638219981701 has 193 digits Peak memory usage: 9428MB

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 7, 2023 15:54:52 UTC 2023 年 3 月 8 日 (水) 0 時 54 分 52 秒 (日本時間)
45	11e6	1000 / 4038	Dmitry Domanov	April 29, 2023 09:16:38 UTC 2023 年 4 月 29 日 (土) 18 時 16 分 38 秒 (日本時間)

28×10²⁶⁰+53

c210

composite cofactor 合成数の残り

187317162653538768283935301346624176394780331946390287697620117429524467202811173157409567128972439759715656990626323175135685694566555449665397701280700218176735897972120041496066170196350635380171127949507231<210>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2195	1792	Dmitry Domanov	March 7, 2023 15:55:00 UTC 2023 年 3 月 8 日 (水) 0 時 55 分 0 秒 (日本時間)
40	3e6	2195	403	Thomas Kozlowski	October 3, 2024 13:27:07 UTC 2024 年 10 月 3 日 (木) 22 時 27 分 7 秒 (日本時間)

28×10²⁶²+53

c204

composite cofactor 合成数の残り

304017283599613917489835468743104513452634175990681349193674643744262096764023097532405586580981753703393660090402831266621091880895156795616410897778152725493962490354936127606233176019358053816932224751<204>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2208	1792	Dmitry Domanov	March 7, 2023 15:55:48 UTC 2023 年 3 月 8 日 (水) 0 時 55 分 48 秒 (日本時間)
40	3e6	2208	416	Thomas Kozlowski	October 3, 2024 13:29:42 UTC 2024 年 10 月 3 日 (木) 22 時 29 分 42 秒 (日本時間)

28×10²⁶³+53

c216

composite cofactor 合成数の残り

198001628034143905802415132174573673782204709493839825792214691002388127703524260774014153748480223083273884490172748655696812158274616730405817559339529592022236910054433643847346710606024095296152747151464455956271<216>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2202	1792	Dmitry Domanov	March 7, 2023 15:55:50 UTC 2023 年 3 月 8 日 (水) 0 時 55 分 50 秒 (日本時間)
40	3e6	2202	410	Thomas Kozlowski	October 3, 2024 13:32:35 UTC 2024 年 10 月 3 日 (木) 22 時 32 分 35 秒 (日本時間)

28×10²⁶⁴+53

c227

composite cofactor 合成数の残り

65849820617459354634405193760179705394496985949765332554354311181351553347588241800985426840524075208952235107731236942128745300322083942983871124958288539856728334178284252500417702355039028121767408335140630700380218907708549<227>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2201	1792	Dmitry Domanov	March 7, 2023 15:55:54 UTC 2023 年 3 月 8 日 (水) 0 時 55 分 54 秒 (日本時間)
40	3e6	2201	409	Thomas Kozlowski	October 3, 2024 13:35:31 UTC 2024 年 10 月 3 日 (木) 22 時 35 分 31 秒 (日本時間)

28×10²⁶⁵+53

c191

composite cofactor 合成数の残り	13605323299877110021590109624086475896091579264371932331087806241976395191198664960777052284521275112263418250397802073164892395568429419211633742991836795946150257998586572814791713350348723<191>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 7, 2023 15:55:57 UTC 2023 年 3 月 8 日 (水) 0 時 55 分 57 秒 (日本時間)
45	11e6	1000 / 4038	Dmitry Domanov	April 29, 2023 09:16:46 UTC 2023 年 4 月 29 日 (土) 18 時 16 分 46 秒 (日本時間)

28×10²⁶⁶+53

c221

name 名前	Thomas Kozlowski
date 日付	October 3, 2024 18:38:41 UTC 2024 年 10 月 4 日 (金) 3 時 38 分 41 秒 (日本時間)
composite number 合成数	53000676949424006226556553555792712396622720590594633459449280012972235825488778582798151690866384051311201055741733282996452811865435189775780878627290594608748515256995902860206248222773811195444937212103854209812573039<221>
prime factors 素因数	1513185375280828636198313247128980785483751<43>
composite cofactor 合成数の残り	35025898224523701199889432705917939221640402535791841741450925744126238804535806223038983802723048519788545520062819685788104395652224534467787318726821180991371892784825491519289<179>
factorization results 素因数分解の結果	GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM] Input number is 53000676949424006226556553555792712396622720590594633459449280012972235825488778582798151690866384051311201055741733282996452811865435189775780878627290594608748515256995902860206248222773811195444937212103854209812573039 (221 digits) Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1235113471 Step 1 took 11869ms Step 2 took 4494ms Run 2 out of 0: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1940528371 Step 1 took 10264ms Step 2 took 4494ms Run 3 out of 0: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2953766395 Step 1 took 10198ms Step 2 took 4471ms Run 4 out of 0: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4170112098 Step 1 took 10228ms Step 2 took 4506ms Run 5 out of 0: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3923493567 Step 1 took 10191ms Step 2 took 4572ms Run 6 out of 0: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1202908142 Step 1 took 10276ms Step 2 took 4529ms ** Factor found in step 2: 1513185375280828636198313247128980785483751 Found prime factor of 43 digits: 1513185375280828636198313247128980785483751 Composite cofactor 35025898224523701199889432705917939221640402535791841741450925744126238804535806223038983802723048519788545520062819685788104395652224534467787318726821180991371892784825491519289 has 179 digits
execution environment 実行環境	2x Xeon E5-2698v4, 128GB DDR4, Ubuntu Server 24.04

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2194	1792	Dmitry Domanov	March 7, 2023 15:56:00 UTC 2023 年 3 月 8 日 (水) 0 時 56 分 0 秒 (日本時間)
40	3e6	2194	402	Thomas Kozlowski	October 7, 2024 03:11:15 UTC 2024 年 10 月 7 日 (月) 12 時 11 分 15 秒 (日本時間)
45	11e6	4480		Ignacio Santos	October 8, 2024 16:10:37 UTC 2024 年 10 月 9 日 (水) 1 時 10 分 37 秒 (日本時間)
50	43e6	1792 / 6459		Dmitry Domanov	October 9, 2024 17:10:14 UTC 2024 年 10 月 10 日 (木) 2 時 10 分 14 秒 (日本時間)

28×10²⁶⁷+53

c234

composite cofactor 合成数の残り

278543108291860033679181286882807858618940798357426549358434493047936625177476298569648511642324428833472367186322823083952907844004010592198257667393522678109660487551058901985779853966776954812604890367861144448999614418318348971141<234>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 7, 2023 15:56:03 UTC 2023 年 3 月 8 日 (水) 0 時 56 分 3 秒 (日本時間)
45	11e6	1792 / 4038	Dmitry Domanov	March 24, 2023 23:10:24 UTC 2023 年 3 月 25 日 (土) 8 時 10 分 24 秒 (日本時間)

28×10²⁶⁹+53

c203

name 名前	Dmitry Domanov
date 日付	March 6, 2023 18:34:56 UTC 2023 年 3 月 7 日 (火) 3 時 34 分 56 秒 (日本時間)
composite number 合成数	11177831095386956077611732047860031152518161404210921794792755276587852858150805748913953565749138039347567505328242913895900920488945004638024525887311297251770088503316746463585124693690173683108210101<203>
prime factors 素因数	133377031078005908688182590678511215223353<42>
composite cofactor 合成数の残り	83806267128929958385825693988413257749671226977620996247676374556984393431956165978349255341160534274492004244052038657666437198882521476832745275280381248122717<161>
factorization results 素因数分解の結果	Resuming ECM residue saved by @6c563ae6b11c with GMP-ECM 7.0.5-dev on Sun Mar 5 12:54:53 2023 Input number is 11177831095386956077611732047860031152518161404210921794792755276587852858150805748913953565749138039347567505328242913895900920488945004638024525887311297251770088503316746463585124693690173683108210101 (203 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3842500536 Step 1 took 0ms Step 2 took 5146ms ********** Factor found in step 2: 133377031078005908688182590678511215223353 Found prime factor of 42 digits: 133377031078005908688182590678511215223353 Composite cofactor 83806267128929958385825693988413257749671226977620996247676374556984393431956165978349255341160534274492004244052038657666437198882521476832745275280381248122717 has 161 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	4142	1792	Dmitry Domanov	March 7, 2023 15:56:07 UTC 2023 年 3 月 8 日 (水) 0 時 56 分 7 秒 (日本時間)
40	3e6	4142	2350	Ignacio Santos	March 8, 2023 09:02:28 UTC 2023 年 3 月 8 日 (水) 18 時 2 分 28 秒 (日本時間)
45	11e6	4480		Ignacio Santos	March 8, 2023 09:58:21 UTC 2023 年 3 月 8 日 (水) 18 時 58 分 21 秒 (日本時間)

28×10²⁷⁰+53

c217

composite cofactor 合成数の残り

6357629674038392003977314942375025175657330600143457994033960335179803525457245310353755399925441809547478109348467450078206290585491230716972548435951198086703753393558618649449434441300441877949961190947280631058521<217>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2204	1792	Dmitry Domanov	March 7, 2023 15:56:10 UTC 2023 年 3 月 8 日 (水) 0 時 56 分 10 秒 (日本時間)
40	3e6	2204	412	Thomas Kozlowski	October 3, 2024 13:39:58 UTC 2024 年 10 月 3 日 (木) 22 時 39 分 58 秒 (日本時間)

28×10²⁷¹+53

c254

composite cofactor 合成数の残り

54814554256681697429228366361736143247203539399241157854481995516286893195656784995314099883146033300027206760321398414816874962459461075349229498268241398924729283991076817055616266912672267274261617112496106526412860883748702148322284266515949461677869<254>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2193	1792	Dmitry Domanov	March 7, 2023 15:56:14 UTC 2023 年 3 月 8 日 (水) 0 時 56 分 14 秒 (日本時間)
40	3e6	2193	401	Thomas Kozlowski	October 3, 2024 13:43:37 UTC 2024 年 10 月 3 日 (木) 22 時 43 分 37 秒 (日本時間)

28×10²⁷⁵+53

c271

composite cofactor 合成数の残り

1572552224178552072539587598179209174718976493152377502393929948414670788999997191871028252585584750736431822840759430399119370754460010839377830945019642862157373163834668598659399228887784358160001572552224178552072539587598179209174718976493152377502393929948414670789<271>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2193	1792	Dmitry Domanov	March 7, 2023 15:56:17 UTC 2023 年 3 月 8 日 (水) 0 時 56 分 17 秒 (日本時間)
40	3e6	2193	401	Thomas Kozlowski	October 3, 2024 13:47:44 UTC 2024 年 10 月 3 日 (木) 22 時 47 分 44 秒 (日本時間)

28×10²⁷⁶+53

c258

composite cofactor 合成数の残り

261274494409112892236325810904623895388023568933328389249154694339982473901593648253292946317698186947524663979804783986024713769958938056880083306655628916180983543930311286895803001410955025677911336445514015486019755427985094553467489795191664248837298533<258>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2196	1792	Dmitry Domanov	March 7, 2023 15:56:20 UTC 2023 年 3 月 8 日 (水) 0 時 56 分 20 秒 (日本時間)
40	3e6	2196	404	Thomas Kozlowski	October 3, 2024 13:51:24 UTC 2024 年 10 月 3 日 (木) 22 時 51 分 24 秒 (日本時間)

28×10²⁷⁷+53

c244

name 名前	Dmitry Domanov
date 日付	March 6, 2023 18:33:57 UTC 2023 年 3 月 7 日 (火) 3 時 33 分 57 秒 (日本時間)
composite number 合成数	4070515778765949202109506432574320915044630421789530800145045791014718656327116363538461171999747511178297667319695502600574088140671347601673656819953268553663821821417715292120082492485749015227656499619152301429851279581083950025960794875569<244>
prime factors 素因数	6549577683773666975642972062423133<34>
composite cofactor 合成数の残り	621492861875735797617290516981725580426239976225816666296881213349063134799036014056567142802540976890453091100517922911583308953115832605107052009301100703083132332310208433827402055251716635226153611236987493<210>
factorization results 素因数分解の結果	Resuming ECM residue saved by @6c563ae6b11c with GMP-ECM 7.0.5-dev on Sun Mar 5 11:17:34 2023 Input number is 4070515778765949202109506432574320915044630421789530800145045791014718656327116363538461171999747511178297667319695502600574088140671347601673656819953268553663821821417715292120082492485749015227656499619152301429851279581083950025960794875569 (244 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3138027683 Step 1 took 1ms Step 2 took 6271ms ********** Factor found in step 2: 6549577683773666975642972062423133 Found prime factor of 34 digits: 6549577683773666975642972062423133 Composite cofactor 621492861875735797617290516981725580426239976225816666296881213349063134799036014056567142802540976890453091100517922911583308953115832605107052009301100703083132332310208433827402055251716635226153611236987493 has 210 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2202	1792	Dmitry Domanov	March 7, 2023 15:56:24 UTC 2023 年 3 月 8 日 (水) 0 時 56 分 24 秒 (日本時間)
40	3e6	2202	410	Thomas Kozlowski	October 3, 2024 13:53:58 UTC 2024 年 10 月 3 日 (木) 22 時 53 分 58 秒 (日本時間)

28×10²⁷⁸+53

c261

composite cofactor 合成数の残り

287124375316365261265888672832099199615950426292554776606988727009239496756495542034393605042335156935131940343128057810332045183594535982582824964961157818503879611915393852084154146092969248577898588008079606390890365217640246995908540591243521198273467780837<261>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2196	1792	Dmitry Domanov	March 7, 2023 15:56:27 UTC 2023 年 3 月 8 日 (水) 0 時 56 分 27 秒 (日本時間)
40	3e6	2196	404	Thomas Kozlowski	October 3, 2024 13:57:39 UTC 2024 年 10 月 3 日 (木) 22 時 57 分 39 秒 (日本時間)

28×10²⁷⁹+53

c246

name 名前	Dmitry Domanov
date 日付	March 29, 2023 04:57:09 UTC 2023 年 3 月 29 日 (水) 13 時 57 分 9 秒 (日本時間)
composite number 合成数	421444550720270621506146549755340161158197618945467774789531304054907022219576942215382816633974862306361430717373312742872243157152033015178986754474122746286138064652443373321064744952717293121209093632282587096616322687819562520637613256680991<246>
prime factors 素因数	5239884845763736034562748215076859763051043<43>
composite cofactor 合成数の残り	80430116906289234102570999481097872928267345623474346683583394742726128326374744553908940319975581580843241287415492797012111998437586758937824608286996191554333565497449777242384070126181971739566906837<203>
factorization results 素因数分解の結果	Resuming ECM residue saved by @3263f46be529 with GMP-ECM 7.0.5-dev on Sat Mar 25 02:22:01 2023 Input number is 421444550720270621506146549755340161158197618945467774789531304054907022219576942215382816633974862306361430717373312742872243157152033015178986754474122746286138064652443373321064744952717293121209093632282587096616322687819562520637613256680991 (246 digits) Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2410152164 Step 1 took 0ms Step 2 took 15359ms ********** Factor found in step 2: 5239884845763736034562748215076859763051043 Found prime factor of 43 digits: 5239884845763736034562748215076859763051043 Composite cofactor 80430116906289234102570999481097872928267345623474346683583394742726128326374744553908940319975581580843241287415492797012111998437586758937824608286996191554333565497449777242384070126181971739566906837 has 203 digits

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 7, 2023 15:56:31 UTC 2023 年 3 月 8 日 (水) 0 時 56 分 31 秒 (日本時間)
45	11e6	1792 / 4038	Dmitry Domanov	March 24, 2023 23:10:31 UTC 2023 年 3 月 25 日 (土) 8 時 10 分 31 秒 (日本時間)

28×10²⁸⁰+53

c244

composite cofactor 合成数の残り

1353514334507013312638836158353914005585856851486045981298545422927458739599061111708126110153178571167995363038520751006842610388091177015981265722568992849346049581037728658028841836563116154388988947779204301690310184816597287854221095172959<244>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 7, 2023 15:56:35 UTC 2023 年 3 月 8 日 (水) 0 時 56 分 35 秒 (日本時間)
45	11e6	1792 / 4038	Dmitry Domanov	March 24, 2023 23:10:39 UTC 2023 年 3 月 25 日 (土) 8 時 10 分 39 秒 (日本時間)

28×10²⁸¹+53

c228

composite cofactor 合成数の残り

692465768940007988019077648554919506742998494574482484268187133670374500114142550792500113222003874717075600571240448860645848074241072612527933233406693435275696467795138737151101251089903517253387261868849385541667225744981141<228>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2201	1792	Dmitry Domanov	March 7, 2023 15:56:38 UTC 2023 年 3 月 8 日 (水) 0 時 56 分 38 秒 (日本時間)
40	3e6	2201	409	Thomas Kozlowski	October 3, 2024 14:00:34 UTC 2024 年 10 月 3 日 (木) 23 時 0 分 34 秒 (日本時間)

28×10²⁸²+53

c237

name 名前	Dmitry Domanov
date 日付	March 6, 2023 18:35:31 UTC 2023 年 3 月 7 日 (火) 3 時 35 分 31 秒 (日本時間)
composite number 合成数	969189619121215185736281448317686034594871747261656242781161373529089247692141133585833058510138677974687449705517452595739834988194409153946937868945429777681755891416156508586125563813970814360190599857278732430285135721883117302352747<237>
prime factors 素因数	24634639935131135397907598526673895381789<41> 50290957364861508521281040891001186726887<41> 782298741764308624266345779057297882767998440294930507810986217435074711139542597033217753807308952180272857594166631988623890875499323802416343312677128129<156>
factorization results 素因数分解の結果	Resuming ECM residue saved by @6c563ae6b11c with GMP-ECM 7.0.5-dev on Sun Mar 5 13:24:29 2023 Input number is 969189619121215185736281448317686034594871747261656242781161373529089247692141133585833058510138677974687449705517452595739834988194409153946937868945429777681755891416156508586125563813970814360190599857278732430285135721883117302352747 (237 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1999340443 Step 1 took 1ms Step 2 took 6124ms ******** Factor found in step 2: 50290957364861508521281040891001186726887 Found prime factor of 41 digits: 50290957364861508521281040891001186726887 Composite cofactor 19271647825069876649800508082601416819550972101193568866878669594586509634527233556350960352530044722760806133906712782122907680525114911336019424477453582150712520653752697694223388118180526242781 has 197 digits --- Resuming ECM residue saved by @6c563ae6b11c with GMP-ECM 7.0.5-dev on Sun Mar 5 13:24:29 2023 Input number is 19271647825069876649800508082601416819550972101193568866878669594586509634527233556350960352530044722760806133906712782122907680525114911336019424477453582150712520653752697694223388118180526242781 (197 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1999341737 Step 1 took 0ms Step 2 took 5036ms ******** Factor found in step 2: 24634639935131135397907598526673895381789 Found prime factor of 41 digits: 24634639935131135397907598526673895381789 Prime cofactor 782298741764308624266345779057297882767998440294930507810986217435074711139542597033217753807308952180272857594166631988623890875499323802416343312677128129 has 156 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

28×10²⁸⁵+53

c230

name 名前	Dmitry Domanov
date 日付	March 6, 2023 18:34:35 UTC 2023 年 3 月 7 日 (火) 3 時 34 分 35 秒 (日本時間)
composite number 合成数	11357890615708790323138108760166130663447024107770897610930109279850579839221744114887658182110467105797704674062862043531363939321555758454378276934782314967899775144957328724664017799867020348575283469016350452266294129082530423<230>
prime factors 素因数	460999984679374192551953383337463721<36>
composite cofactor 合成数の残り	24637507577377060182858781519535597425871351377353301504123961004626730983451881218120171267170114006913157837110827622475173753320098444962588790458560843930053098792015797718941021108373196063<194>
factorization results 素因数分解の結果	Resuming ECM residue saved by @6c563ae6b11c with GMP-ECM 7.0.5-dev on Sun Mar 5 12:16:31 2023 Input number is 11357890615708790323138108760166130663447024107770897610930109279850579839221744114887658182110467105797704674062862043531363939321555758454378276934782314967899775144957328724664017799867020348575283469016350452266294129082530423 (230 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:17206243 Step 1 took 0ms Step 2 took 5617ms ********** Factor found in step 2: 460999984679374192551953383337463721 Found prime factor of 36 digits: 460999984679374192551953383337463721 Composite cofactor 24637507577377060182858781519535597425871351377353301504123961004626730983451881218120171267170114006913157837110827622475173753320098444962588790458560843930053098792015797718941021108373196063 has 194 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792		Dmitry Domanov	March 7, 2023 15:57:06 UTC 2023 年 3 月 8 日 (水) 0 時 57 分 6 秒 (日本時間)
45	11e6	4584	1000	Dmitry Domanov	April 29, 2023 09:16:54 UTC 2023 年 4 月 29 日 (土) 18 時 16 分 54 秒 (日本時間)
45	11e6	4584	3584	Dmitry Domanov	July 23, 2024 17:29:44 UTC 2024 年 7 月 24 日 (水) 2 時 29 分 44 秒 (日本時間)
50	43e6	1792 / 6451		Dmitry Domanov	July 23, 2024 17:29:44 UTC 2024 年 7 月 24 日 (水) 2 時 29 分 44 秒 (日本時間)

28×10²⁸⁶+53

c269

composite cofactor 合成数の残り

70485570223330212960001331902359312262569427913726104400516198360541302773648256075268519508004724661693366187984803574431291837190117870964304859573521790277672961614651346268269712206575006545780605294666818724813761727435453300329186430673030337470224204561741691141<269>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2200	1792	Dmitry Domanov	March 7, 2023 15:57:09 UTC 2023 年 3 月 8 日 (水) 0 時 57 分 9 秒 (日本時間)
40	3e6	2200	408	Thomas Kozlowski	October 3, 2024 14:04:16 UTC 2024 年 10 月 3 日 (木) 23 時 4 分 16 秒 (日本時間)

28×10²⁸⁷+53

c186

composite cofactor 合成数の残り	979558139705172216660485810511115004323148547723206978092040052910060465785981806948705369078172047764547442486781641160195710387622381293795407773803982001359830214176431745322716298577<186>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792		Dmitry Domanov	March 7, 2023 15:57:13 UTC 2023 年 3 月 8 日 (水) 0 時 57 分 13 秒 (日本時間)
45	11e6	5480	1000	Dmitry Domanov	April 29, 2023 09:17:02 UTC 2023 年 4 月 29 日 (土) 18 時 17 分 2 秒 (日本時間)
45	11e6	5480	4480	Ignacio Santos	August 27, 2023 12:22:12 UTC 2023 年 8 月 27 日 (日) 21 時 22 分 12 秒 (日本時間)
50	43e6	1792 / 6250		Dmitry Domanov	April 15, 2024 21:39:42 UTC 2024 年 4 月 16 日 (火) 6 時 39 分 42 秒 (日本時間)

28×10²⁸⁸+53

c205

composite cofactor 合成数の残り

1804085051817377122224219046999943015053607098257790152484033455130924426363705441554762893437499130487962048270708836910076598009296086300836916897487625757600962775262373755191952419985166490936917366159<205>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2203	1792	Dmitry Domanov	March 7, 2023 15:57:16 UTC 2023 年 3 月 8 日 (水) 0 時 57 分 16 秒 (日本時間)
40	3e6	2203	411	Thomas Kozlowski	October 3, 2024 14:06:50 UTC 2024 年 10 月 3 日 (木) 23 時 6 分 50 秒 (日本時間)

28×10²⁸⁹+53

c235

composite cofactor 合成数の残り

2315772420320004761967812243461572771179885636069490976295719225564342386346026339773012896023188376537879185609920985099647657743925224451890985334927377488836863657173752118090824504828558908380291340180621834793200630183591477960133<235>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 7, 2023 15:57:19 UTC 2023 年 3 月 8 日 (水) 0 時 57 分 19 秒 (日本時間)
45	11e6	1792 / 4038	Dmitry Domanov	March 24, 2023 23:10:48 UTC 2023 年 3 月 25 日 (土) 8 時 10 分 48 秒 (日本時間)

28×10²⁹¹+53

c269

composite cofactor 合成数の残り

16425912166459646830457244585161286438357279399941676078927403856629017210658304774489199626753216883994051032088204459087551472426386290553006312683650328472521736932146771916339789137844310489155604087322124614979848745412310339827708628899866998683557609820967975519<269>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2197	1792	Dmitry Domanov	March 7, 2023 15:57:23 UTC 2023 年 3 月 8 日 (水) 0 時 57 分 23 秒 (日本時間)
40	3e6	2197	405	Thomas Kozlowski	October 3, 2024 14:10:30 UTC 2024 年 10 月 3 日 (木) 23 時 10 分 30 秒 (日本時間)

28×10²⁹²+53

c264

composite cofactor 合成数の残り

462321440295044216771804911862095062824584585422137818290651982528308581687762735350595925363121793453544079155095930432278073973932885711953796055223635447309015154766036602912402509438194419065274215277974429124680940405757141475738108241830909569074224916679549<264>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2200	1792	Dmitry Domanov	March 7, 2023 15:57:26 UTC 2023 年 3 月 8 日 (水) 0 時 57 分 26 秒 (日本時間)
40	3e6	2200	408	Thomas Kozlowski	October 3, 2024 14:14:13 UTC 2024 年 10 月 3 日 (木) 23 時 14 分 13 秒 (日本時間)

28×10²⁹³+53

c269

composite cofactor 合成数の残り

43589109784587007550646736820554072633604181758548504456736438670039980522083549394570299410634428473773505548704595937848655001386729370095585760757306280828779083446339755086079580248464494750720118368868034830101992895856698730136853254118211393447359621773306272247<269>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2199	1792	Dmitry Domanov	March 7, 2023 15:57:29 UTC 2023 年 3 月 8 日 (水) 0 時 57 分 29 秒 (日本時間)
40	3e6	2199	407	Thomas Kozlowski	October 3, 2024 14:17:55 UTC 2024 年 10 月 3 日 (木) 23 時 17 分 55 秒 (日本時間)

28×10²⁹⁴+53

c294

composite cofactor 合成数の残り

169696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969697<294>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 7, 2023 15:57:32 UTC 2023 年 3 月 8 日 (水) 0 時 57 分 32 秒 (日本時間)
45	11e6	1792 / 4038	Dmitry Domanov	April 29, 2023 09:23:40 UTC 2023 年 4 月 29 日 (土) 18 時 23 分 40 秒 (日本時間)

28×10²⁹⁵+53

c267

composite cofactor 合成数の残り

429141032876950513488945134860231813293117730201342932374544513574300384457034421908693471213298620824514042096088916490329832453625016068471266135986902011440482290439640830032150713092901912877161186530562072284799069308052383378790973286293070219924699358261883667<267>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2203	1792	Dmitry Domanov	March 7, 2023 15:57:35 UTC 2023 年 3 月 8 日 (水) 0 時 57 分 35 秒 (日本時間)
40	3e6	2203	411	Thomas Kozlowski	October 3, 2024 14:21:37 UTC 2024 年 10 月 3 日 (木) 23 時 21 分 37 秒 (日本時間)

28×10²⁹⁶+53

c257

name 名前	Thomas Kozlowski
date 日付	October 3, 2024 18:39:15 UTC 2024 年 10 月 4 日 (金) 3 時 39 分 15 秒 (日本時間)
composite number 合成数	18785613494209038101068351023462491519964910855693356314783489320204222177468860757985845462485412990251313599408197362822452212625750865065976610910216574260257307623482969931669333380235369347433845913021083853381007142673680522481168288268119036008826077<257>
prime factors 素因数	4905836465910640683116092726226977002257<40>
composite cofactor 合成数の残り	3829237608050185698527905778324551801316206197291780186061625264546122235582198368457619909048834412238678060866320754683698774099113629505898733190488416318610347856637121121115974546286013515554747879576250349141261<217>
factorization results 素因数分解の結果	GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM] Input number is 18785613494209038101068351023462491519964910855693356314783489320204222177468860757985845462485412990251313599408197362822452212625750865065976610910216574260257307623482969931669333380235369347433845913021083853381007142673680522481168288268119036008826077 (257 digits) Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2068877698 Step 1 took 13213ms Step 2 took 5443ms Run 2 out of 0: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1833419839 Step 1 took 14101ms Step 2 took 5446ms Run 3 out of 0: ... Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1303128540 Step 1 took 13259ms Step 2 took 5341ms Run 11 out of 0: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3271332694 Step 1 took 13636ms Step 2 took 5296ms ** Factor found in step 2: 4905836465910640683116092726226977002257 Found prime factor of 40 digits: 4905836465910640683116092726226977002257 Composite cofactor 3829237608050185698527905778324551801316206197291780186061625264546122235582198368457619909048834412238678060866320754683698774099113629505898733190488416318610347856637121121115974546286013515554747879576250349141261 has 217 digits
execution environment 実行環境	2x Xeon E5-2698v4, 128GB DDR4, Ubuntu Server 24.04

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2192	1792	Dmitry Domanov	March 7, 2023 15:57:38 UTC 2023 年 3 月 8 日 (水) 0 時 57 分 38 秒 (日本時間)
40	3e6	2192	400	Thomas Kozlowski	October 7, 2024 03:14:10 UTC 2024 年 10 月 7 日 (月) 12 時 14 分 10 秒 (日本時間)

28×10²⁹⁸+53

c237

composite cofactor 合成数の残り

119863901919022321996206517737497231283687681513797154413275022914585280988622842137677846655089369761780030627679407604423398664817701812924335609495050708283615269521042225823537172960585782781781575592557402235610441832062375811103629<237>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 7, 2023 15:57:42 UTC 2023 年 3 月 8 日 (水) 0 時 57 分 42 秒 (日本時間)
45	11e6	1792 / 4038	Dmitry Domanov	March 24, 2023 23:11:09 UTC 2023 年 3 月 25 日 (土) 8 時 11 分 9 秒 (日本時間)