Contributed factorization results of 722...224

Table of contents 目次

65×10¹²¹+169
- c115
- ECM
65×10¹³¹+169
- c108
- ECM
65×10¹³⁵+169
- c123
- ECM
65×10¹³⁹+169
- c126
- ECM
65×10¹⁴⁴+169
- c132
- ECM
65×10¹⁴⁵+169
- c116
- ECM
65×10¹⁴⁹+169
- c149
- ECM
65×10¹⁵⁰+169
- c130
- ECM
65×10¹⁵²+169
- c108
- ECM
65×10¹⁵⁵+169
- c147
- ECM
65×10¹⁵⁶+169
- c127
- ECM
65×10¹⁶¹+169
- c119
- ECM
65×10¹⁶³+169
- c124
- ECM
65×10¹⁶⁶+169
- c138
- ECM
65×10¹⁷⁰+169
- c152
- ECM
65×10¹⁷³+169
- c169
- ECM
65×10¹⁷⁵+169
- c153
- ECM
65×10¹⁷⁶+169
- c143
- ECM
65×10¹⁷⁷+169
- c168
- ECM
65×10¹⁷⁸+169
- c119
- ECM
65×10¹⁷⁹+169
- c152
- ECM
65×10¹⁸²+169
- c135
- ECM
65×10¹⁸⁴+169
- c101
- ECM
65×10¹⁸⁵+169
- c170
- ECM
65×10¹⁸⁸+169
- c144
- ECM
65×10¹⁹⁰+169
- c184
- ECM
65×10¹⁹¹+169
- c185
- ECM
65×10¹⁹²+169
- c155
- ECM
65×10¹⁹³+169
- c139
- ECM
65×10¹⁹⁴+169
- c181
- ECM
65×10¹⁹⁵+169
- c163
- ECM
65×10²⁰¹+169
- c200
- c165
- ECM
65×10²⁰²+169
- c184
- ECM
65×10²⁰³+169
- c161
- ECM
65×10²⁰⁵+169
- c201
- ECM
65×10²⁰⁶+169
- c194
- ECM
65×10²⁰⁸+169
- c194
- ECM
65×10²¹⁰+169
- c197
- ECM
65×10²¹²+169
- c179
- ECM
65×10²¹³+169
- c188
- ECM
65×10²¹⁴+169
- c199
- ECM
65×10²¹⁶+169
- c215
- ECM
65×10²¹⁷+169
- c157
- ECM
65×10²¹⁹+169
- c153
- ECM
65×10²²³+169
- c189
- c146
- ECM
65×10²²⁴+169
- c158
- ECM
65×10²²⁵+169
- c195
- ECM
65×10²²⁶+169
- c166
- ECM
65×10²²⁷+169
- c206
- ECM
65×10²²⁸+169
- c213
- ECM
65×10²²⁹+169
- c205
- ECM
65×10²³⁰+169
- c182
- ECM
65×10²³¹+169
- c195
- ECM
65×10²³⁴+169
- c181
- c147
- ECM
65×10²³⁵+169
- c209
- ECM
65×10²³⁶+169
- c210
- ECM
65×10²³⁷+169
- c235
- ECM
65×10²³⁹+169
- c236
- ECM
65×10²⁴⁰+169
- c232
- ECM
65×10²⁴¹+169
- c226
- ECM
65×10²⁴²+169
- c216
- ECM
65×10²⁴³+169
- c218
- ECM
65×10²⁴⁴+169
- c228
- ECM
65×10²⁴⁵+169
- c194
- ECM
65×10²⁴⁶+169
- c184
- ECM
65×10²⁴⁷+169
- c209
- ECM
65×10²⁴⁸+169
- c244
- ECM
65×10²⁴⁹+169
- c230
- ECM
65×10²⁵¹+169
- c246
- ECM
65×10²⁵²+169
- c227
- c185
- c146
- ECM
65×10²⁵⁴+169
- c227
- ECM
65×10²⁵⁵+169
- c218
- ECM
65×10²⁵⁶+169
- c255
- ECM
65×10²⁶⁰+169
- c238
- ECM
65×10²⁶¹+169
- c193
- ECM
65×10²⁶²+169
- c239
- ECM
65×10²⁶³+169
- c232
- ECM
65×10²⁶⁴+169
- c260
- ECM
65×10²⁶⁶+169
- c213
- ECM
65×10²⁶⁷+169
- c256
- ECM
65×10²⁶⁸+169
- c263
- ECM
65×10²⁷²+169
- c264
- c139
- ECM
65×10²⁷³+169
- c220
- ECM
65×10²⁷⁴+169
- c252
- ECM
65×10²⁷⁵+169
- c199
- ECM
65×10²⁷⁸+169
- c257
- ECM
65×10²⁷⁹+169
- c262
- ECM
65×10²⁸⁰+169
- c231
- ECM
65×10²⁸¹+169
- c233
- ECM
65×10²⁸²+169
- c251
- ECM
65×10²⁸³+169
- c282
- ECM
65×10²⁸⁴+169
- c242
- ECM
65×10²⁸⁵+169
- c241
- ECM
65×10²⁸⁷+169
- c258
- ECM
65×10²⁸⁸+169
- c248
- ECM
65×10²⁸⁹+169
- c245
- ECM
65×10²⁹¹+169
- c231
- ECM
65×10²⁹²+169
- c227
- ECM
65×10²⁹³+169
- c220
- ECM
65×10²⁹⁴+169
- c191
- ECM
65×10²⁹⁵+169
- c278
- ECM
65×10²⁹⁶+169
- c270
- ECM
65×10²⁹⁷+169
- c283
- ECM
65×10²⁹⁸+169
- c234
- ECM
65×10²⁹⁹+169
- c256
- ECM
65×10³⁰⁰+169
- c259
- ECM

65×10¹²¹+169

c115

name 名前	Dmitry Domanov
date 日付	February 22, 2023 08:39:57 UTC 2023 年 2 月 22 日 (水) 17 時 39 分 57 秒 (日本時間)
composite number 合成数	4229691675519085982629996775543355302742329057206150435010123669417085497243594528897722046839683701313906216308879<115>
prime factors 素因数	80768823657078508878343883165015079625310724311759<50> 52367875177644728681708790812366564611786537242130274373694639681<65>
factorization results 素因数分解の結果	N=4229691675519085982629996775543355302742329057206150435010123669417085497243594528897722046839683701313906216308879 ( 115 digits) SNFS difficulty: 122 digits. Divisors found: r1=80768823657078508878343883165015079625310724311759 (pp50) r2=52367875177644728681708790812366564611786537242130274373694639681 (pp65) 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: 4229691675519085982629996775543355302742329057206150435010123669417085497243594528897722046839683701313906216308879 m: 1000000000000000000000000000000 deg: 4 c4: 325 c0: 8 skew: 0.40 # Murphy_E = 3.35e-08 type: snfs lss: 1 rlim: 770000 alim: 770000 lpbr: 25 lpba: 25 mfbr: 46 mfba: 46 rlambda: 2.2 alambda: 2.2 Factor base limits: 770000/770000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved rational special-q in [385000, 685001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 67484 x 67710 Total sieving time: 0.00 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.01 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,122.000,4,0,0,0,0,0,0,0,0,770000,770000,25,25,46,46,2.2,2.2,75000 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)

65×10¹³¹+169

c108

name 名前	Lionel Debroux
date 日付	March 8, 2023 15:14:10 UTC 2023 年 3 月 9 日 (木) 0 時 14 分 10 秒 (日本時間)
composite number 合成数	362657314328110007567478163485273345667499938657122133608417187188598848215502382131909982387416609467361383<108>
prime factors 素因数	11177756697637091272351230501480271161173814491344373<53> 32444552528574317948958879406330358121340042579414763371<56>
factorization results 素因数分解の結果	11177756697637091272351230501480271161173814491344373 32444552528574317948958879406330358121340042579414763371
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)

65×10¹³⁵+169

c123

name 名前	Bob Backstrom
date 日付	February 23, 2023 01:33:46 UTC 2023 年 2 月 23 日 (木) 10 時 33 分 46 秒 (日本時間)
composite number 合成数	128341525099349331022591752247448818713192450116094334267937617671160209084483554289747184997766632936999775434146411048819<123>
prime factors 素因数	42002858487407276835201862559074527743083<41> 3055542639742648315307098674473427933314966139762412580823184980819449696571648793<82>
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 128341525099349331022591752247448818713192450116094334267937617671160209084483554289747184997766632936999775434146411048819 (123 digits) Using B1=41730000, B2=192395152966, polynomial Dickson(12), sigma=1:3253403691 Step 1 took 64914ms Step 2 took 22752ms ********** Factor found in step 2: 42002858487407276835201862559074527743083 Found prime factor of 41 digits: 42002858487407276835201862559074527743083 Prime cofactor 3055542639742648315307098674473427933314966139762412580823184980819449696571648793 has 82 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)

65×10¹³⁹+169

c126

name 名前	Bob Backstrom
date 日付	February 25, 2023 02:18:42 UTC 2023 年 2 月 25 日 (土) 11 時 18 分 42 秒 (日本時間)
composite number 合成数	276839637850271527846351513628320665672176130255461254102596469004781864917956685779550821348631593610137676241188019659038411<126>
prime factors 素因数	1227162821175481236898909170102489898396549<43> 225593240826095844465088077253121322200779683972691676519671033815334422893347777039<84>
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 276839637850271527846351513628320665672176130255461254102596469004781864917956685779550821348631593610137676241188019659038411 (126 digits) Using B1=31940000, B2=144291357226, polynomial Dickson(12), sigma=1:3338535559 Step 1 took 50191ms Step 2 took 18755ms ********** Factor found in step 2: 1227162821175481236898909170102489898396549 Found prime factor of 43 digits: 1227162821175481236898909170102489898396549 Prime cofactor 225593240826095844465088077253121322200779683972691676519671033815334422893347777039 has 84 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)

65×10¹⁴⁴+169

c132

name 名前	Bob Backstrom
date 日付	February 23, 2023 23:57:30 UTC 2023 年 2 月 24 日 (金) 8 時 57 分 30 秒 (日本時間)
composite number 合成数	150601832634372329146714712006628772854155178445674794745144765467427806794334003584945068181769941958350134941403031191370320862987<132>
prime factors 素因数	4961283694555587520191200184319106747084426232871<49> 30355416441845431506464992580982194012492399624672236116974464246713172288684009597<83>
factorization results 素因数分解の結果	Number: n N=150601832634372329146714712006628772854155178445674794745144765467427806794334003584945068181769941958350134941403031191370320862987 ( 132 digits) SNFS difficulty: 144 digits. Divisors found: Fri Feb 24 10:54:47 2023 prp49 factor: 4961283694555587520191200184319106747084426232871 Fri Feb 24 10:54:47 2023 prp83 factor: 30355416441845431506464992580982194012492399624672236116974464246713172288684009597 Fri Feb 24 10:54:47 2023 elapsed time 00:04:09 (Msieve 1.44 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=1.998). Factorization parameters were as follows: # # N = 65x10^144+16 = 72(143)4 # n: 150601832634372329146714712006628772854155178445674794745144765467427806794334003584945068181769941958350134941403031191370320862987 m: 50000000000000000000000000000 deg: 5 c5: 13 c0: 1 skew: 0.60 # Murphy_E = 3.17e-09 type: snfs lss: 1 rlim: 1800000 alim: 1800000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.3 alambda: 2.3 Factor base limits: 1800000/1800000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved special-q in [100000, 12100000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 701768 hash collisions in 7894526 relations (7741151 unique) Msieve: matrix is 279000 x 279248 (74.6 MB) Sieving start time: 2023/02/24 10:21:59 Sieving end time : 2023/02/24 10:50:31 Total sieving time: 0hrs 28min 32secs. Total relation processing time: 0hrs 2min 6sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 13sec. Prototype def-par.txt line would be: snfs,144,5,0,0,0,0,0,0,0,0,1800000,1800000,26,26,49,49,2.3,2.3,100000 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)

65×10¹⁴⁵+169

c116

name 名前	Bob Backstrom
date 日付	February 28, 2023 15:29:31 UTC 2023 年 3 月 1 日 (水) 0 時 29 分 31 秒 (日本時間)
composite number 合成数	70472428560341852729441228215866662601416846426595580710594480176718184305641673672190903071510111381929300924609771<116>
prime factors 素因数	2475178791293605465203397277926169296435149887<46> 28471651748240283048219614659791496425833954944021450455117851619560533<71>
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 70472428560341852729441228215866662601416846426595580710594480176718184305641673672190903071510111381929300924609771 (116 digits) Using B1=34270000, B2=144293429296, polynomial Dickson(12), sigma=1:3172741778 Step 1 took 54138ms ********** Factor found in step 1: 2475178791293605465203397277926169296435149887 Found prime factor of 46 digits: 2475178791293605465203397277926169296435149887 Prime cofactor 28471651748240283048219614659791496425833954944021450455117851619560533 has 71 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)

65×10¹⁴⁹+169

c149

name 名前	Bob Backstrom
date 日付	February 25, 2023 15:16:37 UTC 2023 年 2 月 26 日 (日) 0 時 16 分 37 秒 (日本時間)
composite number 合成数	45138888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<149>
prime factors 素因数	51475373186924576912539766942826617153079245091668115315568544269277<68> 876902605931077765705915189062939233360051417144337058299634960484584191757241357<81>
factorization results 素因数分解の結果	Number: n N=45138888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889 ( 149 digits) SNFS difficulty: 149 digits. Divisors found: Sat Feb 25 06:44:32 2023 prp68 factor: 51475373186924576912539766942826617153079245091668115315568544269277 Sat Feb 25 06:44:32 2023 prp81 factor: 876902605931077765705915189062939233360051417144337058299634960484584191757241357 Sat Feb 25 06:44:32 2023 elapsed time 00:05:04 (Msieve 1.44 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.085). Factorization parameters were as follows: # # N = 65x10^149+16 = 72(148)4 # n: 45138888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889 m: 500000000000000000000000000000 deg: 5 c5: 13 c0: 1 skew: 0.60 # Murphy_E = 2.054e-09 type: snfs lss: 1 rlim: 2200000 alim: 2200000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.3 alambda: 2.3 Factor base limits: 2200000/2200000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved special-q in [100000, 12300000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 556466 hash collisions in 6623784 relations (6509597 unique) Msieve: matrix is 369666 x 369891 (102.2 MB) Sieving start time: 2023/02/25 06:08:49 Sieving end time : 2023/02/25 06:39:20 Total sieving time: 0hrs 30min 31secs. Total relation processing time: 0hrs 3min 30sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 16sec. Prototype def-par.txt line would be: snfs,149,5,0,0,0,0,0,0,0,0,2200000,2200000,26,26,49,49,2.3,2.3,100000 total time: 0.00 hours. --------- CPU info (if available) ----------

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)

65×10¹⁵⁰+169

c130

name 名前	Bob Backstrom
date 日付	February 27, 2023 17:07:54 UTC 2023 年 2 月 28 日 (火) 2 時 7 分 54 秒 (日本時間)
composite number 合成数	2133967745279176295451262712459151778165244126752907456033946558578890013786782606419144262150799675341407610386921020292389015683<130>
prime factors 素因数	62590840009501926822961125955283730130546830699643<50> 34093930437029096643078846610960710731540165772446269590250293818231384216912281<80>
factorization results 素因数分解の結果	Number: n N=2133967745279176295451262712459151778165244126752907456033946558578890013786782606419144262150799675341407610386921020292389015683 ( 130 digits) SNFS difficulty: 151 digits. Divisors found: Tue Feb 28 04:04:02 2023 prp50 factor: 62590840009501926822961125955283730130546830699643 Tue Feb 28 04:04:02 2023 prp80 factor: 34093930437029096643078846610960710731540165772446269590250293818231384216912281 Tue Feb 28 04:04:02 2023 elapsed time 00:05:05 (Msieve 1.44 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.089). Factorization parameters were as follows: # # N = 65x10^150+16 = 72(149)4 # n: 2133967745279176295451262712459151778165244126752907456033946558578890013786782606419144262150799675341407610386921020292389015683 m: 1000000000000000000000000000000 deg: 5 c5: 65 c0: 16 skew: 0.76 # Murphy_E = 1.392e-09 type: snfs lss: 1 rlim: 2400000 alim: 2400000 lpbr: 27 lpba: 27 mfbr: 49 mfba: 49 rlambda: 2.4 alambda: 2.4 Factor base limits: 2400000/2400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 49/49 Sieved special-q in [100000, 12400000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 918422 hash collisions in 12369017 relations (12269043 unique) Msieve: matrix is 316896 x 317123 (86.4 MB) Sieving start time: 2023/02/28 02:58:59 Sieving end time : 2023/02/28 03:58:48 Total sieving time: 0hrs 59min 49secs. Total relation processing time: 0hrs 2min 35sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 14sec. Prototype def-par.txt line would be: snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,49,49,2.4,2.4,100000 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)

65×10¹⁵²+169

c108

name 名前	Lionel Debroux
date 日付	March 8, 2023 10:41:12 UTC 2023 年 3 月 8 日 (水) 19 時 41 分 12 秒 (日本時間)
composite number 合成数	601060342634463792115071464420513949877088431718451512383298493357638787490670512145152652423214862433605381<108>
prime factors 素因数	40142357142870821951059465358626754486715716744353<50> 14973219945585844678607784616716422500667229361538509333477<59>
factorization results 素因数分解の結果	14973219945585844678607784616716422500667229361538509333477 40142357142870821951059465358626754486715716744353
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)

65×10¹⁵⁵+169

c147

name 名前	Bob Backstrom
date 日付	February 28, 2023 07:48:13 UTC 2023 年 2 月 28 日 (火) 16 時 48 分 13 秒 (日本時間)
composite number 合成数	466789859433423831736178364039643542970216128599747955077504369219153015413026577582915733358404056535671207227285389851865740454012077341071476303<147>
prime factors 素因数	10207248639889515472789168138887083198096998077070489133947372243<65> 45731212778459017057782219462931674086191417151485749304679220653798489112150534421<83>
factorization results 素因数分解の結果	Number: n N=466789859433423831736178364039643542970216128599747955077504369219153015413026577582915733358404056535671207227285389851865740454012077341071476303 ( 147 digits) SNFS difficulty: 156 digits. Divisors found: Tue Feb 28 18:45:41 2023 prp65 factor: 10207248639889515472789168138887083198096998077070489133947372243 Tue Feb 28 18:45:41 2023 prp83 factor: 45731212778459017057782219462931674086191417151485749304679220653798489112150534421 Tue Feb 28 18:45:41 2023 elapsed time 00:07:58 (Msieve 1.44 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.007). Factorization parameters were as follows: # # N = 65x10^155+16 = 72(154)4 # n: 466789859433423831736178364039643542970216128599747955077504369219153015413026577582915733358404056535671207227285389851865740454012077341071476303 m: 10000000000000000000000000000000 deg: 5 c5: 65 c0: 16 skew: 0.76 # Murphy_E = 8.961e-10 type: snfs lss: 1 rlim: 2900000 alim: 2900000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4 Factor base limits: 2900000/2900000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved special-q in [100000, 12650000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 986310 hash collisions in 12703521 relations (12560102 unique) Msieve: matrix is 428700 x 428942 (118.2 MB) Sieving start time: 2023/02/28 17:22:50 Sieving end time : 2023/02/28 18:37:34 Total sieving time: 1hrs 14min 44secs. Total relation processing time: 0hrs 4min 48sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 42sec. 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)

65×10¹⁵⁶+169

c127

name 名前	Bob Backstrom
date 日付	March 7, 2023 03:52:34 UTC 2023 年 3 月 7 日 (火) 12 時 52 分 34 秒 (日本時間)
composite number 合成数	5614706867725920929679268432461496346346765857610884267341387776239829299311367174690121473381927832441564082861766134788647353<127>
prime factors 素因数	149961602894529073011424080840246220511036723362467287<54> 37440963282280024936827173985718979997181223300444906289614080322330964719<74>
factorization results 素因数分解の結果	Number: n N=5614706867725920929679268432461496346346765857610884267341387776239829299311367174690121473381927832441564082861766134788647353 ( 127 digits) SNFS difficulty: 157 digits. Divisors found: Tue Mar 7 14:43:44 2023 prp54 factor: 149961602894529073011424080840246220511036723362467287 Tue Mar 7 14:43:44 2023 prp74 factor: 37440963282280024936827173985718979997181223300444906289614080322330964719 Tue Mar 7 14:43:44 2023 elapsed time 00:08:34 (Msieve 1.44 - dependency 4) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.095). Factorization parameters were as follows: # # N = 65x10^156+16 = 72(155)4 # n: 5614706867725920929679268432461496346346765857610884267341387776239829299311367174690121473381927832441564082861766134788647353 m: 10000000000000000000000000000000 deg: 5 c5: 325 c0: 8 skew: 0.48 # Murphy_E = 6.977e-10 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, 12700000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1549589 hash collisions in 13795959 relations (13063803 unique) Msieve: matrix is 424467 x 424700 (116.3 MB) Sieving start time: 2023/03/07 13:37:54 Sieving end time : 2023/03/07 14:34:39 Total sieving time: 0hrs 56min 45secs. Total relation processing time: 0hrs 4min 42sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 21sec. 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)

65×10¹⁶¹+169

c119

name 名前	Norman Powell
date 日付	March 11, 2023 01:09:33 UTC 2023 年 3 月 11 日 (土) 10 時 9 分 33 秒 (日本時間)
composite number 合成数	85975465938470303897188270345082692623774677312440971813895561055943074644879169090930636031561781391743962708361654379<119>
prime factors 素因数	3069208037767211084611770134994556083403992343587229021<55> 28012264037017111597937956747912241222886550245041724027646775399<65>
factorization results 素因数分解の結果	03/10/23 14:21:35, nfs: commencing nfs on c119: 85975465938470303897188270345082692623774677312440971813895561055943074644879169090930636031561781391743962708361654379 03/10/23 14:21:35, nfs: commencing poly selection with 6 threads 03/10/23 14:21:35, nfs: setting deadline of 2175 seconds 03/10/23 14:21:35, nfs: expecting degree 5 poly E from 2.87e-10 to > 3.30e-10 03/10/23 14:21:35, nfs: searching for avg quality poly E > 2.97e-10 03/10/23 14:23:16, nfs: completed 10 ranges of size 250 in 100.8382 seconds 03/10/23 14:23:16, nfs: best poly = # norm 2.580428e-11 alpha -7.191841 e 3.306e-10 rroots 5 03/10/23 14:23:16, nfs: commencing lattice sieving with 6 threads 03/10/23 19:39:35, nfs: commencing msieve filtering 03/10/23 19:42:37, nfs: commencing msieve linear algebra 03/10/23 19:48:13, nfs: commencing msieve sqrt 03/10/23 19:52:33, prp65 = 28012264037017111597937956747912241222886550245041724027646775399 03/10/23 19:52:33, prp55 = 3069208037767211084611770134994556083403992343587229021 03/10/23 19:52:33, NFS elapsed time = 19857.7607 seconds.
software ソフトウェア	YAFU v2.09
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)

65×10¹⁶³+169

c124

name 名前	Norman Powell
date 日付	March 10, 2023 14:48:06 UTC 2023 年 3 月 10 日 (金) 23 時 48 分 6 秒 (日本時間)
composite number 合成数	7325695862365576836788315611117769221198372198399935106987614254915169838238852343042868254255598948225423151596004418289393<124>
prime factors 素因数	1281935799532650208261591502784337514336110471458403360049<58> 5714557519211394286101470171563377409233929485425488414078367403457<67>
factorization results 素因数分解の結果	03/09/23 19:16:01, nfs: commencing nfs on c124: 7325695862365576836788315611117769221198372198399935106987614254915169838238852343042868254255598948225423151596004418289393 03/09/23 19:16:01, nfs: commencing poly selection with 4 threads 03/09/23 19:16:01, nfs: setting deadline of 6352 seconds 03/09/23 19:16:01, nfs: expecting degree 5 poly E from 1.45e-10 to > 1.67e-10 03/09/23 19:16:01, nfs: searching for avg quality poly E > 1.51e-10 03/09/23 19:19:22, nfs: completed 7 ranges of size 250 in 201.0801 seconds 03/09/23 19:19:22, nfs: best poly = # norm 7.237297e-12 alpha -7.115335 e 1.643e-10 rroots 5 03/09/23 19:19:22, nfs: commencing lattice sieving with 4 threads 03/10/23 05:21:32, nfs: commencing msieve filtering 03/10/23 05:24:54, nfs: commencing msieve linear algebra 03/10/23 05:35:47, nfs: commencing msieve sqrt 03/10/23 05:41:17, prp58 = 1281935799532650208261591502784337514336110471458403360049 03/10/23 05:41:17, prp67 = 5714557519211394286101470171563377409233929485425488414078367403457 03/10/23 05:41:17, NFS elapsed time = 32501.2038 seconds.
software ソフトウェア	YAFU v2.09/
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)

65×10¹⁶⁶+169

c138

name 名前	Bob Backstrom
date 日付	March 9, 2023 11:01:43 UTC 2023 年 3 月 9 日 (木) 20 時 1 分 43 秒 (日本時間)
composite number 合成数	595270285941095869494619933944002194017199410959210767695187184294893088443648940902555173876159442157520497745131104473678524519253822479<138>
prime factors 素因数	1410892901665449564142215572282763672159290587614549585399336217<64> 421910327310049897316088146017512413649043346499467821133627841009524694887<75>
factorization results 素因数分解の結果	Number: n N=595270285941095869494619933944002194017199410959210767695187184294893088443648940902555173876159442157520497745131104473678524519253822479 ( 138 digits) SNFS difficulty: 167 digits. Divisors found: Thu Mar 9 21:40:08 2023 prp64 factor: 1410892901665449564142215572282763672159290587614549585399336217 Thu Mar 9 21:40:08 2023 prp75 factor: 421910327310049897316088146017512413649043346499467821133627841009524694887 Thu Mar 9 21:40:08 2023 elapsed time 00:15:47 (Msieve 1.44 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.013). Factorization parameters were as follows: # # N = 65x10^166+16 = 72(165)4 # n: 595270285941095869494619933944002194017199410959210767695187184294893088443648940902555173876159442157520497745131104473678524519253822479 m: 1000000000000000000000000000000000 deg: 5 c5: 325 c0: 8 skew: 0.48 # Murphy_E = 2.846e-10 type: snfs lss: 1 rlim: 4300000 alim: 4300000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4 Factor base limits: 4300000/4300000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved special-q in [100000, 13350000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1613655 hash collisions in 13665194 relations (12836802 unique) Msieve: matrix is 642877 x 643105 (180.3 MB) Sieving start time: 2023/03/09 19:40:02 Sieving end time : 2023/03/09 21:23:54 Total sieving time: 1hrs 43min 52secs. Total relation processing time: 0hrs 11min 45sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 23sec. Prototype def-par.txt line would be: snfs,167,5,0,0,0,0,0,0,0,0,4300000,4300000,27,27,51,51,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ----------

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)

65×10¹⁷⁰+169

c152

name 名前	Bob Backstrom
date 日付	March 15, 2023 14:55:31 UTC 2023 年 3 月 15 日 (水) 23 時 55 分 31 秒 (日本時間)
composite number 合成数	26929559505080811813872996643990649342817996034886938869498286726366395186591699364480925217689422514801397550358987994263619964071489977975024019997731<152>
prime factors 素因数	412456995099577635573839403642081367632711386030810661604690637996589389953<75> 65290587443132900415614999251266525237777179924917113199819322434526518373027<77>
factorization results 素因数分解の結果	Number: n N=26929559505080811813872996643990649342817996034886938869498286726366395186591699364480925217689422514801397550358987994263619964071489977975024019997731 ( 152 digits) SNFS difficulty: 171 digits. Divisors found: Thu Mar 16 01:41:48 2023 prp75 factor: 412456995099577635573839403642081367632711386030810661604690637996589389953 Thu Mar 16 01:41:48 2023 prp77 factor: 65290587443132900415614999251266525237777179924917113199819322434526518373027 Thu Mar 16 01:41:48 2023 elapsed time 00:19:38 (Msieve 1.44 - dependency 4) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.031). Factorization parameters were as follows: # # N = 65x10^170+16 = 72(169)4 # n: 26929559505080811813872996643990649342817996034886938869498286726366395186591699364480925217689422514801397550358987994263619964071489977975024019997731 m: 10000000000000000000000000000000000 deg: 5 c5: 65 c0: 16 skew: 0.76 # Murphy_E = 2.321e-10 type: snfs lss: 1 rlim: 5100000 alim: 5100000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 5100000/5100000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved special-q in [100000, 20950000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1637421 hash collisions in 14796327 relations (14061276 unique) Msieve: matrix is 692685 x 692910 (194.4 MB) Sieving start time: 2023/03/15 23:19:58 Sieving end time : 2023/03/16 01:21:43 Total sieving time: 2hrs 1min 45secs. Total relation processing time: 0hrs 13min 24sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 3min 12sec. Prototype def-par.txt line would be: snfs,171,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000 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)

65×10¹⁷³+169

c169

name 名前	Bob Backstrom
date 日付	March 11, 2023 07:55:56 UTC 2023 年 3 月 11 日 (土) 16 時 55 分 56 秒 (日本時間)
composite number 合成数	9062214191706261571750429409534007004394476789578174842178054384438644627361752437038524169622342679961631979299114412545450489638403711882932922884739788975886145129269<169>
prime factors 素因数	5727301330134798221110101111955319<34> 19084623959720094705058790438458754936529938187245865804083<59> 82908810149135029500972245234780895488905453814918456402369555872458453492097<77>
factorization results 素因数分解の結果	Number: n N=9062214191706261571750429409534007004394476789578174842178054384438644627361752437038524169622342679961631979299114412545450489638403711882932922884739788975886145129269 ( 169 digits) SNFS difficulty: 174 digits. Divisors found: Sat Mar 11 18:29:20 2023 prp34 factor: 5727301330134798221110101111955319 Sat Mar 11 18:29:20 2023 prp59 factor: 19084623959720094705058790438458754936529938187245865804083 Sat Mar 11 18:29:20 2023 prp77 factor: 82908810149135029500972245234780895488905453814918456402369555872458453492097 Sat Mar 11 18:29:20 2023 elapsed time 00:24:48 (Msieve 1.44 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.101). Factorization parameters were as follows: # # N = 65x10^173+16 = 72(172)4 # n: 9062214191706261571750429409534007004394476789578174842178054384438644627361752437038524169622342679961631979299114412545450489638403711882932922884739788975886145129269 m: 50000000000000000000000000000000000 deg: 5 c5: 13 c0: 10 skew: 0.95 # Murphy_E = 1.678e-10 type: snfs lss: 1 rlim: 5700000 alim: 5700000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 5700000/5700000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved special-q in [100000, 21250000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1555584 hash collisions in 13718579 relations (12972124 unique) Msieve: matrix is 857532 x 857757 (241.7 MB) Sieving start time: 2023/03/11 15:41:15 Sieving end time : 2023/03/11 18:04:02 Total sieving time: 2hrs 22min 47secs. Total relation processing time: 0hrs 20min 27sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 28sec. Prototype def-par.txt line would be: snfs,174,5,0,0,0,0,0,0,0,0,5700000,5700000,27,27,52,52,2.4,2.4,100000 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)

65×10¹⁷⁵+169

c153

name 名前	Bob Backstrom
date 日付	March 13, 2023 03:17:53 UTC 2023 年 3 月 13 日 (月) 12 時 17 分 53 秒 (日本時間)
composite number 合成数	372756207057486061213721893732537441687322510097536786459521273263306437430915708855039163520316027441240446713976477575695207066091775916045605969052623<153>
prime factors 素因数	5576759654568768321242850122563107253<37> 66841002687305163954099016281701456808117004809784753574838380130681374212440317265003163633168888110980744126114291<116>
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 372756207057486061213721893732537441687322510097536786459521273263306437430915708855039163520316027441240446713976477575695207066091775916045605969052623 (153 digits) Using B1=32060000, B2=144291357226, polynomial Dickson(12), sigma=1:2964697569 Step 1 took 64474ms ********** Factor found in step 1: 5576759654568768321242850122563107253 Found prime factor of 37 digits: 5576759654568768321242850122563107253 Prime cofactor 66841002687305163954099016281701456808117004809784753574838380130681374212440317265003163633168888110980744126114291 has 116 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)

65×10¹⁷⁶+169

c143

name 名前	Bob Backstrom
date 日付	March 14, 2023 05:15:10 UTC 2023 年 3 月 14 日 (火) 14 時 15 分 10 秒 (日本時間)
composite number 合成数	16877603740703368025009514612790014401321162681194592050598286683732269654050167515131463477200513916718157055449531348394760967040834503034543<143>
prime factors 素因数	54222524469312667730690070997790119<35> 311265547037657335392833362817158381589076003141769406999991634601267628967012435949323387329095720282247097<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 16877603740703368025009514612790014401321162681194592050598286683732269654050167515131463477200513916718157055449531348394760967040834503034543 (143 digits) Using B1=31060000, B2=144289975846, polynomial Dickson(12), sigma=1:1530085551 Step 1 took 63558ms ********** Factor found in step 1: 54222524469312667730690070997790119 Found prime factor of 35 digits: 54222524469312667730690070997790119 Prime cofactor 311265547037657335392833362817158381589076003141769406999991634601267628967012435949323387329095720282247097 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)

65×10¹⁷⁷+169

c168

name 名前	Bob Backstrom
date 日付	March 18, 2023 14:52:32 UTC 2023 年 3 月 18 日 (土) 23 時 52 分 32 秒 (日本時間)
composite number 合成数	595380021011534704643462227389303027244252538243927151228121468328913225462365005404445079860382782731407700706920763768345776717883216981077315027013750118904351562403<168>
prime factors 素因数	173959907906139385576768823880468438080185919<45> 3422512854701980320989805467780874109138209393868229832572595282895911171866397220893090138747289524926945193117064364628637<124>
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 595380021011534704643462227389303027244252538243927151228121468328913225462365005404445079860382782731407700706920763768345776717883216981077315027013750118904351562403 (168 digits) Using B1=31610000, B2=144290666536, polynomial Dickson(12), sigma=1:2463600664 Step 1 took 76223ms ********** Factor found in step 1: 173959907906139385576768823880468438080185919 Found prime factor of 45 digits: 173959907906139385576768823880468438080185919 Prime cofactor 3422512854701980320989805467780874109138209393868229832572595282895911171866397220893090138747289524926945193117064364628637 has 124 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)

65×10¹⁷⁸+169

c119

name 名前	Ignacio Santos
date 日付	February 25, 2023 11:02:19 UTC 2023 年 2 月 25 日 (土) 20 時 2 分 19 秒 (日本時間)
composite number 合成数	47440406413712952765406846489118774386924174166314525167360058724038990605394609756896424267594975711612159899685602631<119>
prime factors 素因数	56417328701822808366876874501797666267625151231<47> 840883599158784402092591000883597383608443057357722791186900517208489401<72>
factorization results 素因数分解の結果	-> makeJobFile(): Adjusted to q0=2000000, q1=2100000. -> client 1 q0: 2000000 LatSieveTime: 84 LatSieveTime: 90 LatSieveTime: 90 LatSieveTime: 95 LatSieveTime: 96 LatSieveTime: 96 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 122 -> makeJobFile(): Adjusted to q0=2100001, q1=2200000. -> client 1 q0: 2100001 LatSieveTime: 69 LatSieveTime: 97 LatSieveTime: 98 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 121 LatSieveTime: 123 LatSieveTime: 124 LatSieveTime: 124 LatSieveTime: 128 -> makeJobFile(): Adjusted to q0=2200001, q1=2300000. -> client 1 q0: 2200001 LatSieveTime: 90 LatSieveTime: 96 LatSieveTime: 97 LatSieveTime: 97 LatSieveTime: 99 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 124 LatSieveTime: 128 -> makeJobFile(): Adjusted to q0=2300001, q1=2400000. -> client 1 q0: 2300001 LatSieveTime: 89 LatSieveTime: 89 LatSieveTime: 90 LatSieveTime: 92 LatSieveTime: 96 LatSieveTime: 97 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 128 -> makeJobFile(): Adjusted to q0=2400001, q1=2500000. -> client 1 q0: 2400001 LatSieveTime: 86 LatSieveTime: 94 LatSieveTime: 96 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 124 LatSieveTime: 126 LatSieveTime: 131 LatSieveTime: 137 -> makeJobFile(): Adjusted to q0=2500001, q1=2600000. -> client 1 q0: 2500001 LatSieveTime: 98 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 124 LatSieveTime: 124 LatSieveTime: 124 LatSieveTime: 124 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 128 LatSieveTime: 129 LatSieveTime: 136 -> makeJobFile(): Adjusted to q0=2600001, q1=2700000. -> client 1 q0: 2600001 LatSieveTime: 86 LatSieveTime: 91 LatSieveTime: 99 LatSieveTime: 100 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 122 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 129 -> makeJobFile(): Adjusted to q0=2700001, q1=2800000. -> client 1 q0: 2700001 LatSieveTime: 89 LatSieveTime: 90 LatSieveTime: 97 LatSieveTime: 98 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 125 LatSieveTime: 127 LatSieveTime: 133 -> makeJobFile(): Adjusted to q0=2800001, q1=2900000. -> client 1 q0: 2800001 LatSieveTime: 86 LatSieveTime: 87 LatSieveTime: 89 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 124 LatSieveTime: 124 LatSieveTime: 127 LatSieveTime: 128 LatSieveTime: 131 LatSieveTime: 132 LatSieveTime: 135 -> makeJobFile(): Adjusted to q0=2900001, q1=3000000. -> client 1 q0: 2900001 LatSieveTime: 93 LatSieveTime: 96 LatSieveTime: 97 LatSieveTime: 98 LatSieveTime: 99 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 123 LatSieveTime: 126 LatSieveTime: 126 LatSieveTime: 127 LatSieveTime: 129 LatSieveTime: 130 -> makeJobFile(): Adjusted to q0=3000001, q1=3100000. -> client 1 q0: 3000001 LatSieveTime: 93 LatSieveTime: 93 LatSieveTime: 95 LatSieveTime: 95 LatSieveTime: 97 LatSieveTime: 98 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 127 LatSieveTime: 130 LatSieveTime: 133 -> makeJobFile(): Adjusted to q0=3100001, q1=3200000. -> client 1 q0: 3100001 LatSieveTime: 88 LatSieveTime: 94 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 124 LatSieveTime: 125 LatSieveTime: 126 LatSieveTime: 126 LatSieveTime: 126 LatSieveTime: 126 LatSieveTime: 132 -> makeJobFile(): Adjusted to q0=3200001, q1=3300000. -> client 1 q0: 3200001 LatSieveTime: 85 LatSieveTime: 96 LatSieveTime: 98 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 124 LatSieveTime: 124 LatSieveTime: 125 LatSieveTime: 127 LatSieveTime: 129 LatSieveTime: 130 LatSieveTime: 132 LatSieveTime: 135 -> makeJobFile(): Adjusted to q0=3300001, q1=3400000. -> client 1 q0: 3300001 LatSieveTime: 89 LatSieveTime: 95 LatSieveTime: 96 LatSieveTime: 98 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 101 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 126 LatSieveTime: 129 LatSieveTime: 130 LatSieveTime: 133 -> makeJobFile(): Adjusted to q0=3400001, q1=3500000. -> client 1 q0: 3400001 LatSieveTime: 91 LatSieveTime: 95 LatSieveTime: 98 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 122 LatSieveTime: 124 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 128 LatSieveTime: 131 LatSieveTime: 132 LatSieveTime: 133 LatSieveTime: 134 -> makeJobFile(): Adjusted to q0=3500001, q1=3600000. -> client 1 q0: 3500001 LatSieveTime: 90 LatSieveTime: 93 LatSieveTime: 94 LatSieveTime: 97 LatSieveTime: 99 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 127 LatSieveTime: 127 LatSieveTime: 129 LatSieveTime: 129 LatSieveTime: 132 LatSieveTime: 134 LatSieveTime: 145 -> makeJobFile(): Adjusted to q0=3600001, q1=3700000. -> client 1 q0: 3600001 LatSieveTime: 96 LatSieveTime: 102 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 124 LatSieveTime: 124 LatSieveTime: 124 LatSieveTime: 125 LatSieveTime: 127 LatSieveTime: 127 LatSieveTime: 128 LatSieveTime: 130 LatSieveTime: 130 LatSieveTime: 134 LatSieveTime: 134 LatSieveTime: 138 -> makeJobFile(): Adjusted to q0=3700001, q1=3800000. -> client 1 q0: 3700001 LatSieveTime: 94 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 125 LatSieveTime: 129 LatSieveTime: 129 LatSieveTime: 131 LatSieveTime: 132 LatSieveTime: 133 LatSieveTime: 134 -> makeJobFile(): Adjusted to q0=3800001, q1=3900000. -> client 1 q0: 3800001 LatSieveTime: 84 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 124 LatSieveTime: 125 LatSieveTime: 126 LatSieveTime: 126 LatSieveTime: 126 LatSieveTime: 131 LatSieveTime: 133 LatSieveTime: 135 -> makeJobFile(): Adjusted to q0=3900001, q1=4000000. -> client 1 q0: 3900001 LatSieveTime: 90 LatSieveTime: 96 LatSieveTime: 103 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 123 LatSieveTime: 124 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 126 LatSieveTime: 126 LatSieveTime: 128 LatSieveTime: 131 LatSieveTime: 132 LatSieveTime: 134 Sat Feb 25 10:56:40 2023 Sat Feb 25 10:56:40 2023 Sat Feb 25 10:56:40 2023 Msieve v. 1.52 (SVN 927) Sat Feb 25 10:56:40 2023 random seeds: 3352f8e4 82621b81 Sat Feb 25 10:56:40 2023 factoring 47440406413712952765406846489118774386924174166314525167360058724038990605394609756896424267594975711612159899685602631 (119 digits) Sat Feb 25 10:56:40 2023 searching for 15-digit factors Sat Feb 25 10:56:40 2023 commencing number field sieve (119-digit input) Sat Feb 25 10:56:40 2023 R0: -90816505540226312665410 Sat Feb 25 10:56:40 2023 R1: 4689108029047 Sat Feb 25 10:56:40 2023 A0: -17011450277865337906672667747 Sat Feb 25 10:56:40 2023 A1: 89241871516011947613556 Sat Feb 25 10:56:40 2023 A2: 57020296303057246487 Sat Feb 25 10:56:40 2023 A3: 300278050942592 Sat Feb 25 10:56:40 2023 A4: -12587504088 Sat Feb 25 10:56:40 2023 A5: 7680 Sat Feb 25 10:56:40 2023 skew 68822.42, size 1.474e-011, alpha -5.732, combined = 2.665e-010 rroots = 5 Sat Feb 25 10:56:40 2023 Sat Feb 25 10:56:40 2023 commencing relation filtering Sat Feb 25 10:56:40 2023 estimated available RAM is 65413.5 MB Sat Feb 25 10:56:40 2023 commencing duplicate removal, pass 1 Sat Feb 25 10:57:01 2023 found 1067647 hash collisions in 10304649 relations Sat Feb 25 10:57:12 2023 added 62993 free relations Sat Feb 25 10:57:12 2023 commencing duplicate removal, pass 2 Sat Feb 25 10:57:15 2023 found 823479 duplicates and 9544163 unique relations Sat Feb 25 10:57:15 2023 memory use: 49.3 MB Sat Feb 25 10:57:15 2023 reading ideals above 100000 Sat Feb 25 10:57:15 2023 commencing singleton removal, initial pass Sat Feb 25 10:57:51 2023 memory use: 344.5 MB Sat Feb 25 10:57:51 2023 reading all ideals from disk Sat Feb 25 10:57:51 2023 memory use: 338.0 MB Sat Feb 25 10:57:51 2023 keeping 10562859 ideals with weight <= 200, target excess is 50998 Sat Feb 25 10:57:52 2023 commencing in-memory singleton removal Sat Feb 25 10:57:52 2023 begin with 9544163 relations and 10562859 unique ideals Sat Feb 25 10:57:57 2023 reduce to 3337761 relations and 3228763 ideals in 21 passes Sat Feb 25 10:57:57 2023 max relations containing the same ideal: 104 Sat Feb 25 10:57:58 2023 removing 316126 relations and 291206 ideals in 24920 cliques Sat Feb 25 10:57:58 2023 commencing in-memory singleton removal Sat Feb 25 10:57:58 2023 begin with 3021635 relations and 3228763 unique ideals Sat Feb 25 10:57:59 2023 reduce to 2995358 relations and 2910983 ideals in 10 passes Sat Feb 25 10:57:59 2023 max relations containing the same ideal: 100 Sat Feb 25 10:57:59 2023 removing 230984 relations and 206064 ideals in 24920 cliques Sat Feb 25 10:57:59 2023 commencing in-memory singleton removal Sat Feb 25 10:57:59 2023 begin with 2764374 relations and 2910983 unique ideals Sat Feb 25 10:58:00 2023 reduce to 2748727 relations and 2689122 ideals in 8 passes Sat Feb 25 10:58:00 2023 max relations containing the same ideal: 90 Sat Feb 25 10:58:01 2023 relations with 0 large ideals: 151 Sat Feb 25 10:58:01 2023 relations with 1 large ideals: 454 Sat Feb 25 10:58:01 2023 relations with 2 large ideals: 7232 Sat Feb 25 10:58:01 2023 relations with 3 large ideals: 58271 Sat Feb 25 10:58:01 2023 relations with 4 large ideals: 249759 Sat Feb 25 10:58:01 2023 relations with 5 large ideals: 599131 Sat Feb 25 10:58:01 2023 relations with 6 large ideals: 822947 Sat Feb 25 10:58:01 2023 relations with 7+ large ideals: 1010782 Sat Feb 25 10:58:01 2023 commencing 2-way merge Sat Feb 25 10:58:02 2023 reduce to 1518746 relation sets and 1459143 unique ideals Sat Feb 25 10:58:02 2023 ignored 2 oversize relation sets Sat Feb 25 10:58:02 2023 commencing full merge Sat Feb 25 10:58:19 2023 memory use: 164.7 MB Sat Feb 25 10:58:20 2023 found 753861 cycles, need 747343 Sat Feb 25 10:58:20 2023 weight of 747343 cycles is about 52333930 (70.03/cycle) Sat Feb 25 10:58:20 2023 distribution of cycle lengths: Sat Feb 25 10:58:20 2023 1 relations: 92697 Sat Feb 25 10:58:20 2023 2 relations: 90288 Sat Feb 25 10:58:20 2023 3 relations: 88825 Sat Feb 25 10:58:20 2023 4 relations: 77762 Sat Feb 25 10:58:20 2023 5 relations: 67663 Sat Feb 25 10:58:20 2023 6 relations: 56637 Sat Feb 25 10:58:20 2023 7 relations: 48719 Sat Feb 25 10:58:20 2023 8 relations: 41044 Sat Feb 25 10:58:20 2023 9 relations: 34279 Sat Feb 25 10:58:20 2023 10+ relations: 149429 Sat Feb 25 10:58:20 2023 heaviest cycle: 24 relations Sat Feb 25 10:58:20 2023 commencing cycle optimization Sat Feb 25 10:58:20 2023 start with 4514210 relations Sat Feb 25 10:58:26 2023 pruned 79688 relations Sat Feb 25 10:58:26 2023 memory use: 156.1 MB Sat Feb 25 10:58:26 2023 distribution of cycle lengths: Sat Feb 25 10:58:26 2023 1 relations: 92697 Sat Feb 25 10:58:26 2023 2 relations: 92054 Sat Feb 25 10:58:26 2023 3 relations: 91336 Sat Feb 25 10:58:26 2023 4 relations: 78892 Sat Feb 25 10:58:26 2023 5 relations: 68568 Sat Feb 25 10:58:26 2023 6 relations: 56993 Sat Feb 25 10:58:26 2023 7 relations: 48743 Sat Feb 25 10:58:26 2023 8 relations: 40756 Sat Feb 25 10:58:26 2023 9 relations: 33851 Sat Feb 25 10:58:26 2023 10+ relations: 143453 Sat Feb 25 10:58:26 2023 heaviest cycle: 24 relations Sat Feb 25 10:58:26 2023 RelProcTime: 106 Sat Feb 25 10:58:26 2023 elapsed time 00:01:46 Sat Feb 25 10:58:26 2023 Sat Feb 25 10:58:26 2023 Sat Feb 25 10:58:26 2023 Msieve v. 1.52 (SVN 927) Sat Feb 25 10:58:26 2023 random seeds: 95835d54 68f0bc8c Sat Feb 25 10:58:26 2023 factoring 47440406413712952765406846489118774386924174166314525167360058724038990605394609756896424267594975711612159899685602631 (119 digits) Sat Feb 25 10:58:27 2023 searching for 15-digit factors Sat Feb 25 10:58:27 2023 commencing number field sieve (119-digit input) Sat Feb 25 10:58:27 2023 R0: -90816505540226312665410 Sat Feb 25 10:58:27 2023 R1: 4689108029047 Sat Feb 25 10:58:27 2023 A0: -17011450277865337906672667747 Sat Feb 25 10:58:27 2023 A1: 89241871516011947613556 Sat Feb 25 10:58:27 2023 A2: 57020296303057246487 Sat Feb 25 10:58:27 2023 A3: 300278050942592 Sat Feb 25 10:58:27 2023 A4: -12587504088 Sat Feb 25 10:58:27 2023 A5: 7680 Sat Feb 25 10:58:27 2023 skew 68822.42, size 1.474e-011, alpha -5.732, combined = 2.665e-010 rroots = 5 Sat Feb 25 10:58:27 2023 Sat Feb 25 10:58:27 2023 commencing linear algebra Sat Feb 25 10:58:27 2023 read 747343 cycles Sat Feb 25 10:58:28 2023 cycles contain 2668986 unique relations Sat Feb 25 10:58:33 2023 read 2668986 relations Sat Feb 25 10:58:35 2023 using 20 quadratic characters above 134217494 Sat Feb 25 10:58:42 2023 building initial matrix Sat Feb 25 10:58:56 2023 memory use: 338.1 MB Sat Feb 25 10:58:57 2023 read 747343 cycles Sat Feb 25 10:58:57 2023 matrix is 747166 x 747343 (224.4 MB) with weight 70844194 (94.79/col) Sat Feb 25 10:58:57 2023 sparse part has weight 50601247 (67.71/col) Sat Feb 25 10:59:00 2023 filtering completed in 2 passes Sat Feb 25 10:59:00 2023 matrix is 745542 x 745719 (224.2 MB) with weight 70777678 (94.91/col) Sat Feb 25 10:59:00 2023 sparse part has weight 50581894 (67.83/col) Sat Feb 25 10:59:01 2023 matrix starts at (0, 0) Sat Feb 25 10:59:02 2023 matrix is 745542 x 745719 (224.2 MB) with weight 70777678 (94.91/col) Sat Feb 25 10:59:02 2023 sparse part has weight 50581894 (67.83/col) Sat Feb 25 10:59:02 2023 saving the first 48 matrix rows for later Sat Feb 25 10:59:02 2023 matrix includes 64 packed rows Sat Feb 25 10:59:02 2023 matrix is 745494 x 745719 (216.8 MB) with weight 56393973 (75.62/col) Sat Feb 25 10:59:02 2023 sparse part has weight 49369180 (66.20/col) Sat Feb 25 10:59:02 2023 using block size 8192 and superblock size 12582912 for processor cache size 131072 kB Sat Feb 25 10:59:04 2023 commencing Lanczos iteration (32 threads) Sat Feb 25 10:59:04 2023 memory use: 170.4 MB Sat Feb 25 10:59:06 2023 linear algebra at 0.4%, ETA 0h 8m Sat Feb 25 11:05:58 2023 lanczos halted after 11786 iterations (dim = 745493) Sat Feb 25 11:05:59 2023 recovered 31 nontrivial dependencies Sat Feb 25 11:05:59 2023 BLanczosTime: 452 Sat Feb 25 11:05:59 2023 elapsed time 00:07:33 Sat Feb 25 11:05:59 2023 Sat Feb 25 11:05:59 2023 Sat Feb 25 11:05:59 2023 Msieve v. 1.52 (SVN 927) Sat Feb 25 11:05:59 2023 random seeds: 5945e78c 9be96112 Sat Feb 25 11:05:59 2023 factoring 47440406413712952765406846489118774386924174166314525167360058724038990605394609756896424267594975711612159899685602631 (119 digits) Sat Feb 25 11:05:59 2023 searching for 15-digit factors Sat Feb 25 11:05:59 2023 commencing number field sieve (119-digit input) Sat Feb 25 11:05:59 2023 R0: -90816505540226312665410 Sat Feb 25 11:05:59 2023 R1: 4689108029047 Sat Feb 25 11:05:59 2023 A0: -17011450277865337906672667747 Sat Feb 25 11:05:59 2023 A1: 89241871516011947613556 Sat Feb 25 11:05:59 2023 A2: 57020296303057246487 Sat Feb 25 11:05:59 2023 A3: 300278050942592 Sat Feb 25 11:05:59 2023 A4: -12587504088 Sat Feb 25 11:05:59 2023 A5: 7680 Sat Feb 25 11:05:59 2023 skew 68822.42, size 1.474e-011, alpha -5.732, combined = 2.665e-010 rroots = 5 Sat Feb 25 11:05:59 2023 Sat Feb 25 11:05:59 2023 commencing square root phase Sat Feb 25 11:05:59 2023 reading relations for dependency 1 Sat Feb 25 11:05:59 2023 read 372666 cycles Sat Feb 25 11:06:00 2023 cycles contain 1332580 unique relations Sat Feb 25 11:06:03 2023 read 1332580 relations Sat Feb 25 11:06:06 2023 multiplying 1332580 relations Sat Feb 25 11:06:36 2023 multiply complete, coefficients have about 61.09 million bits Sat Feb 25 11:06:36 2023 initial square root is modulo 589869331 Sat Feb 25 11:07:18 2023 sqrtTime: 79 Sat Feb 25 11:07:18 2023 prp47 factor: 56417328701822808366876874501797666267625151231 Sat Feb 25 11:07:18 2023 prp72 factor: 840883599158784402092591000883597383608443057357722791186900517208489401 Sat Feb 25 11:07:18 2023 elapsed time 00:01:19
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)
40	3e6	499 / 2078		Rytis Slatkevičius	February 21, 2023 20:59:39 UTC 2023 年 2 月 22 日 (水) 5 時 59 分 39 秒 (日本時間)

65×10¹⁷⁹+169

c152

name 名前	Bob Backstrom
date 日付	April 5, 2023 02:21:27 UTC 2023 年 4 月 5 日 (水) 11 時 21 分 27 秒 (日本時間)
composite number 合成数	55371499994130108045265678830600158175606320141369980902036265196152783664361611456097157133834289858136076862662905162330726017494588792294135149711789<152>
prime factors 素因数	27091689979337669409303385790284109150050241573<47> 2043855515708356562121095396322294556407206191278643353710506767012522650752356472853724591447919258383593<106>
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 55371499994130108045265678830600158175606320141369980902036265196152783664361611456097157133834289858136076862662905162330726017494588792294135149711789 (152 digits) Using B1=32900000, B2=144292047916, polynomial Dickson(12), sigma=1:3155161168 Step 1 took 66439ms Step 2 took 22548ms ********** Factor found in step 2: 27091689979337669409303385790284109150050241573 Found prime factor of 47 digits: 27091689979337669409303385790284109150050241573 Prime cofactor 2043855515708356562121095396322294556407206191278643353710506767012522650752356472853724591447919258383593 has 106 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	2350		Ignacio Santos	March 31, 2023 09:06:05 UTC 2023 年 3 月 31 日 (金) 18 時 6 分 5 秒 (日本時間)

65×10¹⁸²+169

c135

name 名前	Eric Jeancolas
date 日付	June 4, 2023 13:14:43 UTC 2023 年 6 月 4 日 (日) 22 時 14 分 43 秒 (日本時間)
composite number 合成数	182859064348741427877655744052600783950848504114290331983317055666943308827546335796123777359111531499672734782965899513232494161544389<135>
prime factors 素因数	47588035348599993189818159189787019746410889868975259681<56> 3842542836854495486493486598949028335317618683253400335475300555052911567634469<79>
factorization results 素因数分解の結果	182859064348741427877655744052600783950848504114290331983317055666943308827546335796123777359111531499672734782965899513232494161544389=475880353485999931898181591897870197464108898689752596813842542836854495486493486598949028335317618683253400335475300555052911567634469 cado polynomial n: 182859064348741427877655744052600783950848504114290331983317055666943308827546335796123777359111531499672734782965899513232494161544389 skew: 0.30 type: snfs c0: 4 c5: 1625 Y0: 1000000000000000000000000000000000000 Y1: -1 # f(x) = 1625x^5+4 # g(x) = -x+1000000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 7900000 tasks.lim1 = 7900000 tasks.lpb0 = 28 tasks.lpb1 = 28 tasks.sieve.mfb0 = 53 tasks.sieve.mfb1 = 53 tasks.sieve.lambda0 = 2.5 tasks.sieve.lambda1 = 2.5 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 3842542836854495486493486598949028335317618683253400335475300555052911567634469 47588035348599993189818159189787019746410889868975259681 Info:Square Root: Total cpu/real time for sqrt: 1503.4/453.987 Info:Generate Factor Base: Total cpu/real time for makefb: 3.39/1.94296 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 22415514 Info:Lattice Sieving: Average J: 1894.06 for 1288349 special-q, max bucket fill -bkmult 1.0,1s:1.176790 Info:Lattice Sieving: Total time: 217033s Info:Linear Algebra: Total cpu/real time for bwc: 28057.3/7253.04 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 17844.4, WCT time 4579.75, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (41472 iterations) Info:Linear Algebra: Lingen CPU time 258.12, WCT time 65.62 Info:Linear Algebra: Mksol: CPU time 9724.12, WCT time 2520.44, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (20736 iterations) Info:Generate Free Relations: Total cpu/real time for freerel: 120.83/32.1655 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 237.99/251.511 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 235.3s Info:Square Root: Total cpu/real time for sqrt: 1503.4/453.987 Info:Quadratic Characters: Total cpu/real time for characters: 44.9/20.0238 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 94.59/90.5467 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 90.5s Info:Filtering - Singleton removal: Total cpu/real time for purge: 102.28/93.6248 Info:Filtering - Merging: Merged matrix has 1324108 rows and total weight 226434457 (171.0 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 329.9/90.8216 Info:Filtering - Merging: Total cpu/real time for replay: 46.95/40.9366 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 441576/97898.7 Info:root: Cleaning up computation data in /tmp/cado.2cr8627f 3842542836854495486493486598949028335317618683253400335475300555052911567634469 47588035348599993189818159189787019746410889868975259681
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic\|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

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 15:52:07 UTC 2023 年 3 月 19 日 (日) 0 時 52 分 7 秒 (日本時間)

65×10¹⁸⁴+169

c101

name 名前	Eric Jeancolas
date 日付	February 21, 2023 11:52:20 UTC 2023 年 2 月 21 日 (火) 20 時 52 分 20 秒 (日本時間)
composite number 合成数	25251687968614044706949345180830372308434808402051138699619831261411746507271684482172880512699869793<101>
prime factors 素因数	12613882427593337637095879892929745074081853670579<50> 2001896570192777184213785957708209061532254235879067<52>
factorization results 素因数分解の結果	25251687968614044706949345180830372308434808402051138699619831261411746507271684482172880512699869793=126138824275933376370958798929297450740818536705792001896570192777184213785957708209061532254235879067 cado polynomial n: 25251687968614044706949345180830372308434808402051138699619831261411746507271684482172880512699869793 skew: 456703.933 c0: -730193965487367337776725532 c1: -7089406955623961750105 c2: 14974362881239591 c3: 8481597504 c4: -35280 Y0: -1300787374519137894594872 Y1: 42642734323787 # MurphyE (Bf=3.355e+07,Bg=1.678e+07,area=2.206e+12) = 2.630e-06 # f(x) = -35280x^4+8481597504x^3+14974362881239591x^2-7089406955623961750105x-730193965487367337776725532 # g(x) = 42642734323787x-1300787374519137894594872 cado parameters (extracts) tasks.lim0 = 919082 tasks.lim1 = 1051872 tasks.lpb0 = 24 tasks.lpb1 = 25 tasks.sieve.mfb0 = 49 tasks.sieve.mfb1 = 50 tasks.I = 11 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 2001896570192777184213785957708209061532254235879067 12613882427593337637095879892929745074081853670579 Info:Square Root: Total cpu/real time for sqrt: 144.54/39.1782 Info:Square Root: Total cpu/real time for sqrt: 144.54/39.1782 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 9.34/3.40319 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 3.3s Info:Filtering - Singleton removal: Total cpu/real time for purge: 9.65/4.39014 Info:Generate Factor Base: Total cpu/real time for makefb: 0.77/0.430755 Info:Filtering - Merging: Merged matrix has 194717 rows and total weight 33341926 (171.2 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 39.2/10.9137 Info:Filtering - Merging: Total cpu/real time for replay: 6.25/5.28894 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 2409079 Warning:Lattice Sieving: some stats could not be displayed for sieving (see log file for debug info) Info:Generate Free Relations: Total cpu/real time for freerel: 24.03/8.22885 Info:Linear Algebra: Total cpu/real time for bwc: 522.46/137.82 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 310.84, WCT time 80.62, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6016 iterations) Info:Linear Algebra: Lingen CPU time 25.04, WCT time 6.47 Info:Linear Algebra: Mksol: CPU time 169.86, WCT time 44.19, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3072 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 6.26/2.4566 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 19.98/15.4402 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 6.0s Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 782.35/241.225 Info:root: Cleaning up computation data in /tmp/cado.ofhjn74_ 2001896570192777184213785957708209061532254235879067 12613882427593337637095879892929745074081853670579
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic\|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

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)

65×10¹⁸⁵+169

c170

name 名前	Bob Backstrom
date 日付	March 23, 2023 01:34:15 UTC 2023 年 3 月 23 日 (木) 10 時 34 分 15 秒 (日本時間)
composite number 合成数	55604257140270507878278513996007559895687265262003350633265693983647880832753411187911092709416243870567776834605191327024795148076290299774549010809260748976367512129173<170>
prime factors 素因数	25988226704118357128223282185746256616633319883110001917219086217464460639<74> 2139594123652111098739614873673795732551597282121809619278326698278108841719453177922615964167307<97>
factorization results 素因数分解の結果	Number: n N=55604257140270507878278513996007559895687265262003350633265693983647880832753411187911092709416243870567776834605191327024795148076290299774549010809260748976367512129173 ( 170 digits) SNFS difficulty: 186 digits. Divisors found: Thu Mar 23 12:10:48 2023 prp74 factor: 25988226704118357128223282185746256616633319883110001917219086217464460639 Thu Mar 23 12:10:48 2023 prp97 factor: 2139594123652111098739614873673795732551597282121809619278326698278108841719453177922615964167307 Thu Mar 23 12:10:48 2023 elapsed time 00:41:45 (Msieve 1.44 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.102). Factorization parameters were as follows: # # N = 65x10^185+16 = 72(184)4 # n: 55604257140270507878278513996007559895687265262003350633265693983647880832753411187911092709416243870567776834605191327024795148076290299774549010809260748976367512129173 m: 10000000000000000000000000000000000000 deg: 5 c5: 65 c0: 16 skew: 0.76 # Murphy_E = 5.765e-11 type: snfs lss: 1 rlim: 9000000 alim: 9000000 lpbr: 27 lpba: 27 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 9000000/9000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 53/53 Sieved special-q in [100000, 15700000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1860045 hash collisions in 16096335 relations (15227972 unique) Msieve: matrix is 1106188 x 1106413 (311.4 MB) Sieving start time: 2023/03/23 06:17:12 Sieving end time : 2023/03/23 11:28:45 Total sieving time: 5hrs 11min 33secs. Total relation processing time: 0hrs 34min 31sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 3min 29sec. Prototype def-par.txt line would be: snfs,186,5,0,0,0,0,0,0,0,0,9000000,9000000,27,27,53,53,2.5,2.5,100000 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)

65×10¹⁸⁸+169

c144

name 名前	Eric Jeancolas
date 日付	June 20, 2023 04:46:08 UTC 2023 年 6 月 20 日 (火) 13 時 46 分 8 秒 (日本時間)
composite number 合成数	104489329420003567139029035395014819948440314954084197005493213716898674765744657794021986740007291945191523416814136646334251095693150072563667<144>
prime factors 素因数	10206267520214116358423329991627813556191227071171768034915186753<65> 10237761180868154923355743611711801214635484364011447254332834241569417629285139<80>
factorization results 素因数分解の結果	104489329420003567139029035395014819948440314954084197005493213716898674765744657794021986740007291945191523416814136646334251095693150072563667=1020626752021411635842332999162781355619122707117176803491518675310237761180868154923355743611711801214635484364011447254332834241569417629285139 cado polynomial n: 104489329420003567139029035395014819948440314954084197005493213716898674765744657794021986740007291945191523416814136646334251095693150072563667 skew: 0.95 type: snfs c0: 10 c5: 13 Y0: 50000000000000000000000000000000000000 Y1: -1 # f(x) = 13x^5+10 # g(x) = -x+50000000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 10100000 tasks.lim1 = 10100000 tasks.lpb0 = 28 tasks.lpb1 = 28 tasks.sieve.mfb0 = 54 tasks.sieve.mfb1 = 54 tasks.sieve.lambda0 = 2.5 tasks.sieve.lambda1 = 2.5 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 10237761180868154923355743611711801214635484364011447254332834241569417629285139 10206267520214116358423329991627813556191227071171768034915186753 Info:Square Root: Total cpu/real time for sqrt: 471.45/154.503 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 24361339 Info:Lattice Sieving: Average J: 1894.07 for 1681102 special-q, max bucket fill -bkmult 1.0,1s:1.150350 Info:Lattice Sieving: Total time: 321389s Info:Linear Algebra: Total cpu/real time for bwc: 56005.7/14426.9 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 35886.47, WCT time 9192.11, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (57600 iterations) Info:Linear Algebra: Lingen CPU time 370.85, WCT time 94.42 Info:Linear Algebra: Mksol: CPU time 19405.1, WCT time 5008.36, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (28928 iterations) Info:Generate Factor Base: Total cpu/real time for makefb: 4.26/2.18069 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 424.58/467.257 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 395.5s Info:Generate Free Relations: Total cpu/real time for freerel: 119.48/31.2828 Info:Square Root: Total cpu/real time for sqrt: 471.45/154.503 Info:Quadratic Characters: Total cpu/real time for characters: 65.34/30.6714 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 104.25/102.381 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 101.9s Info:Filtering - Singleton removal: Total cpu/real time for purge: 290.13/274.26 Info:Filtering - Merging: Merged matrix has 1837523 rows and total weight 313295090 (170.5 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 483.42/132.725 Info:Filtering - Merging: Total cpu/real time for replay: 69.26/60.8449 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 662552/176271 Info:root: Cleaning up computation data in /tmp/cado.y_mbrf4e 10237761180868154923355743611711801214635484364011447254332834241569417629285139 10206267520214116358423329991627813556191227071171768034915186753
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic\|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

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 31, 2023 07:44:03 UTC 2023 年 3 月 31 日 (金) 16 時 44 分 3 秒 (日本時間)
45	11e6	900 / 3915	Dmitry Domanov	May 4, 2023 14:39:50 UTC 2023 年 5 月 4 日 (木) 23 時 39 分 50 秒 (日本時間)

65×10¹⁹⁰+169

c184

name 名前	Bob Backstrom
date 日付	April 1, 2023 22:01:30 UTC 2023 年 4 月 2 日 (日) 7 時 1 分 30 秒 (日本時間)
composite number 合成数	3315406065630268690300758132374840258635133217300241785933554284235046253689077832350381742995271272032964562246840693453189037068157648639753159143326820039595537598092154170095306601<184>
prime factors 素因数	2153926565517177255389363856130314018077<40> 1539238207424313789822545404350833255243185730522563780556501126402235091896068856952306122358758539490299337322721118667078058446599158831930813<145>
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 3315406065630268690300758132374840258635133217300241785933554284235046253689077832350381742995271272032964562246840693453189037068157648639753159143326820039595537598092154170095306601 (184 digits) Using B1=30250000, B2=144289285156, polynomial Dickson(12), sigma=1:1622405421 Step 1 took 82893ms Step 2 took 28407ms ********** Factor found in step 2: 2153926565517177255389363856130314018077 Found prime factor of 40 digits: 2153926565517177255389363856130314018077 Prime cofactor 1539238207424313789822545404350833255243185730522563780556501126402235091896068856952306122358758539490299337322721118667078058446599158831930813 has 145 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	February 25, 2023 17:00:40 UTC 2023 年 2 月 26 日 (日) 2 時 0 分 40 秒 (日本時間)

65×10¹⁹¹+169

c185

name 名前	Bob Backstrom
date 日付	April 28, 2023 10:53:34 UTC 2023 年 4 月 28 日 (金) 19 時 53 分 34 秒 (日本時間)
composite number 合成数	21603787546784497579391991511851930910635407674505557770442328044353892002759116093728903070545659292556124512904387672083806423044011688008018049652071333924997924706931659655340219637<185>
prime factors 素因数	28131097970865112415546620065209421531143791486776759421311830227076481502148329366427<86> 767968159975809105948395591504926506615138320733113481694496609992825264531297558102011773711725231<99>
factorization results 素因数分解の結果	Number: n N=21603787546784497579391991511851930910635407674505557770442328044353892002759116093728903070545659292556124512904387672083806423044011688008018049652071333924997924706931659655340219637 ( 185 digits) SNFS difficulty: 192 digits. Divisors found: Sat Apr 8 12:45:01 2023 prp86 factor: 28131097970865112415546620065209421531143791486776759421311830227076481502148329366427 Sat Apr 8 12:45:01 2023 prp99 factor: 767968159975809105948395591504926506615138320733113481694496609992825264531297558102011773711725231 Sat Apr 8 12:45:01 2023 elapsed time 01:28:28 (Msieve 1.44 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.088). Factorization parameters were as follows: # # N = 65x10^191+16 = 72(190)4 # n: 21603787546784497579391991511851930910635407674505557770442328044353892002759116093728903070545659292556124512904387672083806423044011688008018049652071333924997924706931659655340219637 m: 100000000000000000000000000000000000000 deg: 5 c5: 325 c0: 8 skew: 0.48 # Murphy_E = 2.788e-11 type: snfs lss: 1 rlim: 11300000 alim: 11300000 lpbr: 27 lpba: 27 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 11300000/11300000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 55/55 Sieved special-q in [100000, 24050000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1943274 hash collisions in 15015780 relations (13905679 unique) Msieve: matrix is 1699991 x 1700217 (478.9 MB) Sieving start time: 2023/04/08 01:54:33 Sieving end time : 2023/04/08 11:16:16 Total sieving time: 9hrs 21min 43secs. Total relation processing time: 1hrs 22min 27sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 2min 12sec. Prototype def-par.txt line would be: snfs,192,5,0,0,0,0,0,0,0,0,11300000,11300000,27,27,55,55,2.5,2.5,100000 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 / 2078		Dmitry Domanov	February 25, 2023 17:00:46 UTC 2023 年 2 月 26 日 (日) 2 時 0 分 46 秒 (日本時間)

65×10¹⁹²+169

c155

name 名前	Bob Backstrom
date 日付	April 11, 2023 23:14:21 UTC 2023 年 4 月 12 日 (水) 8 時 14 分 21 秒 (日本時間)
composite number 合成数	10382992131067283343750166973275928119319558541990620631716076691387037959281753432953093995550901297144956609056172316618061938383236796449820475528690559<155>
prime factors 素因数	1060118105276326455097513518273037832369677<43> 9794184326623580405885668284107242014852793352322798031833490999721084219177537315443606896033910324310169108667<112>
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 10382992131067283343750166973275928119319558541990620631716076691387037959281753432953093995550901297144956609056172316618061938383236796449820475528690559 (155 digits) Using B1=37400000, B2=192391008826, polynomial Dickson(12), sigma=1:207956908 Step 1 took 78361ms ********** Factor found in step 1: 1060118105276326455097513518273037832369677 Found prime factor of 43 digits: 1060118105276326455097513518273037832369677 Prime cofactor 9794184326623580405885668284107242014852793352322798031833490999721084219177537315443606896033910324310169108667 has 112 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	Dmitry Domanov	February 25, 2023 17:00:53 UTC 2023 年 2 月 26 日 (日) 2 時 0 分 53 秒 (日本時間)
45	11e6	1000 / 4213	Dmitry Domanov	March 31, 2023 18:25:08 UTC 2023 年 4 月 1 日 (土) 3 時 25 分 8 秒 (日本時間)

65×10¹⁹³+169

c139

name 名前	Dmitry Domanov
date 日付	February 26, 2023 05:57:36 UTC 2023 年 2 月 26 日 (日) 14 時 57 分 36 秒 (日本時間)
composite number 合成数	4267305736392136640715339121415899746288194671248029238804827080773310931004003141792558085341750692368362684174570510224067851867876929453<139>
prime factors 素因数	521516025973206732854978453022004762861<39> 8182501637277341488634305421247007046702359548036247770445412778557193704238526655094548040079284673<100>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2246820754 Step 1 took 6592ms Step 2 took 3640ms ********** Factor found in step 2: 521516025973206732854978453022004762861 Found prime factor of 39 digits: 521516025973206732854978453022004762861 Prime cofactor 8182501637277341488634305421247007046702359548036247770445412778557193704238526655094548040079284673 has 100 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	February 25, 2023 17:01:26 UTC 2023 年 2 月 26 日 (日) 2 時 1 分 26 秒 (日本時間)

65×10¹⁹⁴+169

c181

name 名前	Bob Backstrom
date 日付	April 16, 2023 18:20:04 UTC 2023 年 4 月 17 日 (月) 3 時 20 分 4 秒 (日本時間)
composite number 合成数	8070320556436932717367706794902409320113687148743856125343342414316821383176601910088214073856772400543795480937749564106129719141323265791845650735336412412787403481921921273389507<181>
prime factors 素因数	119193192549955481157297530440608167180546911758836977046025541692545957065421<78> 67707898276611326446434696696188181453517264659075977726466735586288903614944781624424515678929962780367<104>
factorization results 素因数分解の結果	Number: n N=8070320556436932717367706794902409320113687148743856125343342414316821383176601910088214073856772400543795480937749564106129719141323265791845650735336412412787403481921921273389507 ( 181 digits) SNFS difficulty: 194 digits. Divisors found: Sun Apr 16 21:41:51 2023 prp78 factor: 119193192549955481157297530440608167180546911758836977046025541692545957065421 Sun Apr 16 21:41:51 2023 prp104 factor: 67707898276611326446434696696188181453517264659075977726466735586288903614944781624424515678929962780367 Sun Apr 16 21:41:51 2023 elapsed time 00:58:33 (Msieve 1.44 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.097). Factorization parameters were as follows: # # N = 65x10^194+16 = 72(193)4 # n: 8070320556436932717367706794902409320113687148743856125343342414316821383176601910088214073856772400543795480937749564106129719141323265791845650735336412412787403481921921273389507 m: 500000000000000000000000000000000000000 deg: 5 c5: 13 c0: 1 skew: 0.60 # Murphy_E = 3.324e-11 type: snfs lss: 1 rlim: 12300000 alim: 12300000 lpbr: 27 lpba: 27 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 12300000/12300000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 55/55 Sieved special-q in [100000, 31750000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 2507335 hash collisions in 20497634 relations (18756898 unique) Msieve: matrix is 1361735 x 1361960 (382.2 MB) Sieving start time: 2023/04/16 09:25:38 Sieving end time : 2023/04/16 20:42:59 Total sieving time: 11hrs 17min 21secs. Total relation processing time: 0hrs 51min 56sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 17sec. Prototype def-par.txt line would be: snfs,194,5,0,0,0,0,0,0,0,0,12300000,12300000,27,27,55,55,2.5,2.5,100000 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	February 25, 2023 17:01:32 UTC 2023 年 2 月 26 日 (日) 2 時 1 分 32 秒 (日本時間)
45	11e6	1000 / 4213	Dmitry Domanov	April 2, 2023 21:19:52 UTC 2023 年 4 月 3 日 (月) 6 時 19 分 52 秒 (日本時間)

65×10¹⁹⁵+169

c163

name 名前	ebina
date 日付	February 23, 2023 22:25:53 UTC 2023 年 2 月 24 日 (金) 7 時 25 分 53 秒 (日本時間)
composite number 合成数	5311796823833000715000880313022864935625050267279739233637283620375098906999223733626391972578723228363138162732194736748168772975667888434961054371414655405086549<163>
prime factors 素因数	839983224054660757779039599942236113328458332341<48> 6323693940210575934390624800983288683764081070993111239904520915198641274919282493176825098860250515094374137440289<115>
factorization results 素因数分解の結果	Fri Feb 24 02:39:31 2023 Msieve v. 1.53 (SVN unknown) Fri Feb 24 02:39:31 2023 random seeds: 8628c100 a9e640ac Fri Feb 24 02:39:31 2023 factoring 5311796823833000715000880313022864935625050267279739233637283620375098906999223733626391972578723228363138162732194736748168772975667888434961054371414655405086549 (163 digits) Fri Feb 24 02:39:32 2023 searching for 15-digit factors Fri Feb 24 02:39:32 2023 commencing number field sieve (163-digit input) Fri Feb 24 02:39:32 2023 R0: -1000000000000000000000000000000000000000 Fri Feb 24 02:39:32 2023 R1: 1 Fri Feb 24 02:39:32 2023 A0: 16 Fri Feb 24 02:39:32 2023 A1: 0 Fri Feb 24 02:39:32 2023 A2: 0 Fri Feb 24 02:39:32 2023 A3: 0 Fri Feb 24 02:39:32 2023 A4: 0 Fri Feb 24 02:39:32 2023 A5: 65 Fri Feb 24 02:39:32 2023 skew 0.76, size 1.219e-13, alpha 0.159, combined = 2.229e-11 rroots = 1 Fri Feb 24 02:39:32 2023 Fri Feb 24 02:39:32 2023 commencing square root phase Fri Feb 24 02:39:32 2023 reading relations for dependency 1 Fri Feb 24 02:39:33 2023 read 1183865 cycles Fri Feb 24 02:39:34 2023 cycles contain 3907046 unique relations Fri Feb 24 02:40:05 2023 read 3907046 relations Fri Feb 24 02:40:22 2023 multiplying 3907046 relations Fri Feb 24 02:41:37 2023 multiply complete, coefficients have about 114.66 million bits Fri Feb 24 02:41:38 2023 initial square root is modulo 169738771 Fri Feb 24 02:43:11 2023 sqrtTime: 219 Fri Feb 24 02:43:11 2023 p48 factor: 839983224054660757779039599942236113328458332341 Fri Feb 24 02:43:11 2023 p115 factor: 6323693940210575934390624800983288683764081070993111239904520915198641274919282493176825098860250515094374137440289 Fri Feb 24 02:43:11 2023 elapsed time 00:03:40

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)

65×10²⁰¹+169

c200

name 名前	Dmitry Domanov
date 日付	February 21, 2023 12:16:26 UTC 2023 年 2 月 21 日 (火) 21 時 16 分 26 秒 (日本時間)
composite number 合成数	21494708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994709<200>
prime factors 素因数	22319053803220982868383936512644809<35>
composite cofactor 合成数の残り	963065423123222969245312755051606345885622336177692169187735157795624180689849515204576330330934813666508018587936188603558898535531026149881223206510469295628341101<165>
factorization results 素因数分解の結果	Resuming ECM residue saved by @99cb416b88e1 with GMP-ECM 7.0.5-dev on Tue Feb 21 00:19:39 2023 Input number is 21494708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994709 (200 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3721858296 Step 1 took 0ms Step 2 took 4965ms ********** Factor found in step 2: 22319053803220982868383936512644809 Found prime factor of 35 digits: 22319053803220982868383936512644809 Composite cofactor 963065423123222969245312755051606345885622336177692169187735157795624180689849515204576330330934813666508018587936188603558898535531026149881223206510469295628341101 has 165 digits

c165

name 名前	Bob Backstrom
date 日付	September 7, 2023 18:24:36 UTC 2023 年 9 月 8 日 (金) 3 時 24 分 36 秒 (日本時間)
composite number 合成数	963065423123222969245312755051606345885622336177692169187735157795624180689849515204576330330934813666508018587936188603558898535531026149881223206510469295628341101<165>
prime factors 素因数	17611181742594202369492259842520708518400916178725410663<56> 54684883569963052048584801897018187097367712790765800460243500140222350369313454537573257832225354630945276427<110>
factorization results 素因数分解の結果	Number: n N=963065423123222969245312755051606345885622336177692169187735157795624180689849515204576330330934813666508018587936188603558898535531026149881223206510469295628341101 ( 165 digits) SNFS difficulty: 202 digits. Divisors found: Fri Sep 8 04:18:59 2023 prp56 factor: 17611181742594202369492259842520708518400916178725410663 Fri Sep 8 04:18:59 2023 prp110 factor: 54684883569963052048584801897018187097367712790765800460243500140222350369313454537573257832225354630945276427 Fri Sep 8 04:18:59 2023 elapsed time 02:39:00 (Msieve 1.44 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.094). Factorization parameters were as follows: # # N = 65x10^201+16 = 72(200)4 # n: 963065423123222969245312755051606345885622336177692169187735157795624180689849515204576330330934813666508018587936188603558898535531026149881223206510469295628341101 m: 10000000000000000000000000000000000000000 deg: 5 c5: 325 c0: 8 skew: 0.48 # Murphy_E = 1.068e-11 type: snfs lss: 1 rlim: 16600000 alim: 16600000 lpbr: 27 lpba: 27 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 16600000/16600000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 56/56 Sieved special-q in [100000, 33900000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3367739 hash collisions in 18339492 relations (15679168 unique) Msieve: matrix is 2255654 x 2255879 (633.9 MB) Sieving start time: 2023/09/07 11:20:55 Sieving end time : 2023/09/08 01:39:37 Total sieving time: 14hrs 18min 42secs. Total relation processing time: 2hrs 31min 23sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 2min 44sec. Prototype def-par.txt line would be: snfs,202,5,0,0,0,0,0,0,0,0,16600000,16600000,27,27,56,56,2.6,2.6,100000 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	February 23, 2023 08:48:33 UTC 2023 年 2 月 23 日 (木) 17 時 48 分 33 秒 (日本時間)
45	11e6	3000	1000	Dmitry Domanov	March 12, 2023 06:41:33 UTC 2023 年 3 月 12 日 (日) 15 時 41 分 33 秒 (日本時間)
			1000	Dmitry Domanov	April 7, 2023 21:32:44 UTC 2023 年 4 月 8 日 (土) 6 時 32 分 44 秒 (日本時間)
			1000	Dmitry Domanov	April 24, 2023 11:14:38 UTC 2023 年 4 月 24 日 (月) 20 時 14 分 38 秒 (日本時間)
50	43e6	1000 / 6806		Dmitry Domanov	May 6, 2023 12:48:32 UTC 2023 年 5 月 6 日 (土) 21 時 48 分 32 秒 (日本時間)

65×10²⁰²+169

c184

name 名前	Bob Backstrom
date 日付	July 14, 2023 19:32:58 UTC 2023 年 7 月 15 日 (土) 4 時 32 分 58 秒 (日本時間)
composite number 合成数	2661159102314863476239106399557480200175719805883119795566648669161084162630905179513766264061730013722046707552361102529640077501318453669113544836696344692550707755367799571850234109<184>
prime factors 素因数	1742692844955553540587761144116016939441217903214096029709641614151782298071178487297<85> 1527038519735665140593070457768007319987363355035050839026191837255579115584290034407428365433567997<100>
factorization results 素因数分解の結果	Number: n N=2661159102314863476239106399557480200175719805883119795566648669161084162630905179513766264061730013722046707552361102529640077501318453669113544836696344692550707755367799571850234109 ( 184 digits) SNFS difficulty: 203 digits. Divisors found: Sat Jul 15 04:02:51 2023 prp85 factor: 1742692844955553540587761144116016939441217903214096029709641614151782298071178487297 Sat Jul 15 04:02:51 2023 prp100 factor: 1527038519735665140593070457768007319987363355035050839026191837255579115584290034407428365433567997 Sat Jul 15 04:02:51 2023 elapsed time 02:36:38 (Msieve 1.44 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.082). Factorization parameters were as follows: # # N = 65x10^202+16 = 72(201)4 # n: 2661159102314863476239106399557480200175719805883119795566648669161084162630905179513766264061730013722046707552361102529640077501318453669113544836696344692550707755367799571850234109 m: 5000000000000000000000000000000000 deg: 6 c6: 13 c0: 5 skew: 0.85 # Murphy_E = 1.094e-11 type: snfs lss: 1 rlim: 17100000 alim: 17100000 lpbr: 27 lpba: 27 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 17100000/17100000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 56/56 Sieved special-q in [100000, 34150000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 2657963 hash collisions in 16312266 relations (14644553 unique) Msieve: matrix is 2202011 x 2202236 (629.8 MB) Sieving start time: 2023/07/14 11:34:19 Sieving end time : 2023/07/15 01:25:51 Total sieving time: 13hrs 51min 32secs. Total relation processing time: 2hrs 22min 48sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 9min 23sec. Prototype def-par.txt line would be: snfs,203,6,0,0,0,0,0,0,0,0,17100000,17100000,27,27,56,56,2.6,2.6,100000 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	February 23, 2023 08:48:37 UTC 2023 年 2 月 23 日 (木) 17 時 48 分 37 秒 (日本時間)
45	11e6	3000	1000	Dmitry Domanov	March 12, 2023 07:53:34 UTC 2023 年 3 月 12 日 (日) 16 時 53 分 34 秒 (日本時間)
			1000	Dmitry Domanov	April 7, 2023 21:32:22 UTC 2023 年 4 月 8 日 (土) 6 時 32 分 22 秒 (日本時間)
			1000	Dmitry Domanov	April 24, 2023 11:15:02 UTC 2023 年 4 月 24 日 (月) 20 時 15 分 2 秒 (日本時間)
50	43e6	1000 / 6806		Dmitry Domanov	May 6, 2023 11:34:21 UTC 2023 年 5 月 6 日 (土) 20 時 34 分 21 秒 (日本時間)

65×10²⁰³+169

c161

name 名前	Dmitry Domanov
date 日付	March 13, 2023 09:02:35 UTC 2023 年 3 月 13 日 (月) 18 時 2 分 35 秒 (日本時間)
composite number 合成数	15724464555083715769978679118686255536560139664301998703858386595838030447610410342225710718198458392969120863687609996254494556013175646882040035593141875383191<161>
prime factors 素因数	340516416909422583955364118637440413063<39> 46178286197773617508558146404535779985631559879762073510752939764161809304097592547163852944384643433862258626347313702257<122>
factorization results 素因数分解の結果	Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:460988437 Step 1 took 26466ms ********** Factor found in step 1: 340516416909422583955364118637440413063 Found prime factor of 39 digits: 340516416909422583955364118637440413063 Prime cofactor 46178286197773617508558146404535779985631559879762073510752939764161809304097592547163852944384643433862258626347313702257 has 122 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	February 23, 2023 08:48:42 UTC 2023 年 2 月 23 日 (木) 17 時 48 分 42 秒 (日本時間)
45	11e6	1000 / 4038	Dmitry Domanov	March 12, 2023 06:41:41 UTC 2023 年 3 月 12 日 (日) 15 時 41 分 41 秒 (日本時間)

65×10²⁰⁵+169

c201

name 名前	Bob Backstrom
date 日付	April 15, 2024 05:47:06 UTC 2024 年 4 月 15 日 (月) 14 時 47 分 6 秒 (日本時間)
composite number 合成数	231493352935478172669823523713466787470582536996199235288419349140411759007584434529406066407963941170772290316882347242878552176464889937375705876654643258058817831113846294111948760905117641360525611<201>
prime factors 素因数	8939143301852154363033669868484538816470044068352030868690525890994852789<73> 25896592673205460926265748664522825180951831121807994547840178976772767156897019158308894642258802991272520183421706765233845599<128>
factorization results 素因数分解の結果	Number: n N=231493352935478172669823523713466787470582536996199235288419349140411759007584434529406066407963941170772290316882347242878552176464889937375705876654643258058817831113846294111948760905117641360525611 ( 201 digits) SNFS difficulty: 206 digits. Divisors found: Mon Apr 15 15:40:58 2024 prp73 factor: 8939143301852154363033669868484538816470044068352030868690525890994852789 Mon Apr 15 15:40:58 2024 prp128 factor: 25896592673205460926265748664522825180951831121807994547840178976772767156897019158308894642258802991272520183421706765233845599 Mon Apr 15 15:40:58 2024 elapsed time 02:37:55 (Msieve 1.44 - dependency 7) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=1.942). Factorization parameters were as follows: # # N = 65x10^205+16 = 72(204)4 # n: 231493352935478172669823523713466787470582536996199235288419349140411759007584434529406066407963941170772290316882347242878552176464889937375705876654643258058817831113846294111948760905117641360525611 m: 100000000000000000000000000000000000000000 deg: 5 c5: 65 c0: 16 skew: 0.76 # Murphy_E = 8.478e-12 type: snfs lss: 1 rlim: 19600000 alim: 19600000 lpbr: 27 lpba: 27 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 19600000/19600000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 56/56 Sieved special-q in [100000, 35400000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 4063752 hash collisions in 20978973 relations (17221443 unique) Msieve: matrix is 2134604 x 2134829 (600.7 MB) Sieving start time: 2024/04/14 22:49:29 Sieving end time : 2024/04/15 13:02:38 Total sieving time: 14hrs 13min 9secs. Total relation processing time: 2hrs 14min 1sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 18min 11sec. Prototype def-par.txt line would be: snfs,206,5,0,0,0,0,0,0,0,0,19600000,19600000,27,27,56,56,2.6,2.6,100000 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	February 23, 2023 08:48:48 UTC 2023 年 2 月 23 日 (木) 17 時 48 分 48 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	March 28, 2023 14:07:44 UTC 2023 年 3 月 28 日 (火) 23 時 7 分 44 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	April 13, 2023 09:31:17 UTC 2023 年 4 月 13 日 (木) 18 時 31 分 17 秒 (日本時間)
50	43e6	1792 / 6675		Dmitry Domanov	May 5, 2023 21:43:02 UTC 2023 年 5 月 6 日 (土) 6 時 43 分 2 秒 (日本時間)

65×10²⁰⁶+169

c194

name 名前	Dmitry Domanov
date 日付	March 16, 2023 05:47:03 UTC 2023 年 3 月 16 日 (木) 14 時 47 分 3 秒 (日本時間)
composite number 合成数	31642339012319275842072631944654262744985175995412438911088208599253423355891702162458211652875967696918711116805764785159725623045420048201924982238380961628629809073019056230833683622790835531<194>
prime factors 素因数	3483307248557841835533967234533029210345479<43> 9083993100355942088572308273880172308513088209817569209061599851674711371691032860073206360814699017554064775515883285640599790023538833191845109260189<151>
factorization results 素因数分解の結果	Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2313257046 Step 1 took 50115ms Step 2 took 17851ms ********** Factor found in step 2: 3483307248557841835533967234533029210345479 Found prime factor of 43 digits: 3483307248557841835533967234533029210345479 Prime cofactor 9083993100355942088572308273880172308513088209817569209061599851674711371691032860073206360814699017554064775515883285640599790023538833191845109260189 has 151 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	February 23, 2023 08:48:54 UTC 2023 年 2 月 23 日 (木) 17 時 48 分 54 秒 (日本時間)
45	11e6	1000 / 4038	Dmitry Domanov	March 12, 2023 07:53:16 UTC 2023 年 3 月 12 日 (日) 16 時 53 分 16 秒 (日本時間)

65×10²⁰⁸+169

c194

name 名前	Bob Backstrom
date 日付	October 29, 2024 23:11:58 UTC 2024 年 10 月 30 日 (水) 8 時 11 分 58 秒 (日本時間)
composite number 合成数	21497897904527689587916973879467950830808247137606392418792708404824216728960538796355141289353958418126021119905793179060557510951377577965362762718918500672425995481776146495344524514435682989<194>
prime factors 素因数	2908515104261873872545298453244213822328970475041937<52> 29932184863830602526576572527018117830935709893730403<53> 246937048958131415002720095910680568742524336225319313482790312101231487533483082067457599<90>
factorization results 素因数分解の結果	10/27/24 19:00:50, 10/27/24 19:00:50, ************************** 10/27/24 19:00:50, Starting factorization of 650000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000016 10/27/24 19:00:50, using pretesting plan: normal 10/27/24 19:00:50, no tune info: using qs/gnfs crossover of 100 digits 10/27/24 19:00:50, no tune info: using qs/snfs crossover of 95 digits 10/27/24 19:00:50, ************************** 10/27/24 19:00:50, div: found prime factor = 2 10/27/24 19:00:50, div: found prime factor = 2 10/27/24 19:00:50, div: found prime factor = 2 10/27/24 19:00:50, div: found prime factor = 2 10/27/24 19:00:50, div: found prime factor = 3 10/27/24 19:00:50, div: found prime factor = 3 10/27/24 19:00:50, div: found prime factor = 37 10/27/24 19:00:50, div: found prime factor = 269 10/27/24 19:00:50, rho: x^2 + 3, starting 1000 iterations on C204 10/27/24 19:00:51, prp11 = 21096036317 10/27/24 19:00:51, rho: x^2 + 3, starting 1000 iterations on C194 10/27/24 19:00:51, rho: x^2 + 2, starting 1000 iterations on C194 10/27/24 19:00:51, rho: x^2 + 1, starting 1000 iterations on C194 10/27/24 19:00:51, nfs: input divides 6510^208 + 16 10/27/24 19:00:51, nfs: using supplied cofactor: 21497897904527689587916973879467950830808247137606392418792708404824216728960538796355141289353958418126021119905793179060557510951377577965362762718918500672425995481776146495344524514435682989 10/27/24 19:00:51, nfs: input divides 6510^208 + 16 10/27/24 19:00:51, nfs: using supplied cofactor: 21497897904527689587916973879467950830808247137606392418792708404824216728960538796355141289353958418126021119905793179060557510951377577965362762718918500672425995481776146495344524514435682989 10/27/24 19:00:51, nfs: commencing snfs on c194: 21497897904527689587916973879467950830808247137606392418792708404824216728960538796355141289353958418126021119905793179060557510951377577965362762718918500672425995481776146495344524514435682989 10/27/24 19:00:51, pm1: starting B1 = 150K, B2 = gmp-ecm default on C194 10/27/24 19:00:51, nfs: input divides 6510^208 + 16 10/27/24 19:00:51, nfs: using supplied cofactor: 21497897904527689587916973879467950830808247137606392418792708404824216728960538796355141289353958418126021119905793179060557510951377577965362762718918500672425995481776146495344524514435682989 10/27/24 19:00:51, nfs: commencing snfs on c194: 21497897904527689587916973879467950830808247137606392418792708404824216728960538796355141289353958418126021119905793179060557510951377577965362762718918500672425995481776146495344524514435682989 10/27/24 19:00:51, current ECM pretesting depth: 0.000000 10/27/24 19:00:51, scheduled 30 curves at B1=2000 toward target pretesting depth of 46.427866 10/27/24 19:00:51, ecm: commencing 32 curves using AVX-ECM method on 21497897904527689587916973879467950830808247137606392418792708404824216728960538796355141289353958418126021119905793179060557510951377577965362762718918500672425995481776146495344524514435682989, B1=2k, B2=200k 10/27/24 19:00:51, ecm: finished 128 curves using AVX-ECM method on C194 input, B1=2k, B2=200k 10/27/24 19:00:52, nfs: input divides 6510^208 + 16 10/27/24 19:00:52, nfs: using supplied cofactor: 21497897904527689587916973879467950830808247137606392418792708404824216728960538796355141289353958418126021119905793179060557510951377577965362762718918500672425995481776146495344524514435682989 10/27/24 19:00:52, nfs: commencing snfs on c194: 21497897904527689587916973879467950830808247137606392418792708404824216728960538796355141289353958418126021119905793179060557510951377577965362762718918500672425995481776146495344524514435682989 10/27/24 19:00:52, current ECM pretesting depth: 15.758294 10/27/24 19:00:52, scheduled 74 curves at B1=11000 toward target pretesting depth of 46.427866 10/27/24 19:00:52, ecm: commencing 80 curves using AVX-ECM method on 21497897904527689587916973879467950830808247137606392418792708404824216728960538796355141289353958418126021119905793179060557510951377577965362762718918500672425995481776146495344524514435682989, B1=11k, B2=1100k 10/27/24 19:00:52, ecm: finished 128 curves using AVX-ECM method on C194 input, B1=11k, B2=1100k 10/27/24 19:00:52, nfs: input divides 6510^208 + 16 10/27/24 19:00:52, nfs: using supplied cofactor: 21497897904527689587916973879467950830808247137606392418792708404824216728960538796355141289353958418126021119905793179060557510951377577965362762718918500672425995481776146495344524514435682989 10/27/24 19:00:52, nfs: commencing snfs on c194: 21497897904527689587916973879467950830808247137606392418792708404824216728960538796355141289353958418126021119905793179060557510951377577965362762718918500672425995481776146495344524514435682989 10/27/24 19:00:52, current ECM pretesting depth: 20.426864 10/27/24 19:00:52, scheduled 214 curves at B1=50000 toward target pretesting depth of 46.427866 10/27/24 19:00:52, ecm: commencing 224 curves using AVX-ECM method on 21497897904527689587916973879467950830808247137606392418792708404824216728960538796355141289353958418126021119905793179060557510951377577965362762718918500672425995481776146495344524514435682989, B1=50k, B2=5M 10/27/24 19:00:55, ecm: finished 256 curves using AVX-ECM method on C194 input, B1=50k, B2=5M 10/27/24 19:00:55, nfs: input divides 6510^208 + 16 10/27/24 19:00:55, nfs: using supplied cofactor: 21497897904527689587916973879467950830808247137606392418792708404824216728960538796355141289353958418126021119905793179060557510951377577965362762718918500672425995481776146495344524514435682989 10/27/24 19:00:55, nfs: commencing snfs on c194: 21497897904527689587916973879467950830808247137606392418792708404824216728960538796355141289353958418126021119905793179060557510951377577965362762718918500672425995481776146495344524514435682989 10/27/24 19:00:55, pm1: starting B1 = 3750K, B2 = gmp-ecm default on C194 10/27/24 19:00:56, nfs: input divides 6510^208 + 16 10/27/24 19:00:56, nfs: using supplied cofactor: 21497897904527689587916973879467950830808247137606392418792708404824216728960538796355141289353958418126021119905793179060557510951377577965362762718918500672425995481776146495344524514435682989 10/27/24 19:00:56, nfs: commencing snfs on c194: 21497897904527689587916973879467950830808247137606392418792708404824216728960538796355141289353958418126021119905793179060557510951377577965362762718918500672425995481776146495344524514435682989 10/27/24 19:00:57, current ECM pretesting depth: 25.402199 10/27/24 19:00:57, scheduled 430 curves at B1=250000 toward target pretesting depth of 46.427866 10/27/24 19:00:57, ecm: commencing 432 curves using AVX-ECM method on 21497897904527689587916973879467950830808247137606392418792708404824216728960538796355141289353958418126021119905793179060557510951377577965362762718918500672425995481776146495344524514435682989, B1=250k, B2=25M 10/27/24 19:01:58, nfs: commencing nfs on c210: 650000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000016 10/27/24 19:01:58, nfs: input divides 6510^208 + 16 10/27/24 19:01:58, nfs: using supplied cofactor: 21497897904527689587916973879467950830808247137606392418792708404824216728960538796355141289353958418126021119905793179060557510951377577965362762718918500672425995481776146495344524514435682989 10/27/24 19:01:58, nfs: commencing snfs on c194: 21497897904527689587916973879467950830808247137606392418792708404824216728960538796355141289353958418126021119905793179060557510951377577965362762718918500672425995481776146495344524514435682989 10/27/24 19:01:58, gen: best 3 polynomials: n: 21497897904527689587916973879467950830808247137606392418792708404824216728960538796355141289353958418126021119905793179060557510951377577965362762718918500672425995481776146495344524514435682989 # 6510^208+16, difficulty: 211.21, anorm: 6.09e+41, rnorm: 3.14e+41 # scaled difficulty: 211.27, suggest sieving algebraic side # size = 2.797e-10, alpha = -0.248, combined = 6.920e-12, rroots = 0 type: snfs size: 211 skew: 0.8528 c6: 13 c0: 5 Y1: -1 Y0: 50000000000000000000000000000000000 n: 21497897904527689587916973879467950830808247137606392418792708404824216728960538796355141289353958418126021119905793179060557510951377577965362762718918500672425995481776146495344524514435682989 # 6510^208+16, difficulty: 211.21, anorm: 1.49e+35, rnorm: 2.97e+48 # scaled difficulty: 213.87, suggest sieving rational side # size = 1.522e-14, alpha = 1.340, combined = 6.011e-12, rroots = 1 type: snfs size: 211 skew: 0.9489 c5: 13 c0: 10 Y1: -1 Y0: 500000000000000000000000000000000000000000 n: 21497897904527689587916973879467950830808247137606392418792708404824216728960538796355141289353958418126021119905793179060557510951377577965362762718918500672425995481776146495344524514435682989 # 6510^208+16, difficulty: 209.81, anorm: 1.66e+36, rnorm: 1.33e+48 # scaled difficulty: 212.19, suggest sieving rational side # size = 1.164e-14, alpha = 0.536, combined = 5.287e-12, rroots = 1 type: snfs size: 209 skew: 0.1898 c5: 8125 c0: 2 Y1: -1 Y0: 100000000000000000000000000000000000000000 10/27/24 19:02:01, test: fb generation took 2.3992 seconds 10/27/24 19:02:01, test: commencing test sieving of polynomial 0 on the algebraic side over range 22600000-22601000 skew: 0.8528 c6: 13 c0: 5 Y1: -1 Y0: 50000000000000000000000000000000000 rlim: 22600000 alim: 22600000 mfbr: 58 mfba: 58 lpbr: 29 lpba: 29 rlambda: 2.60 alambda: 2.60 10/27/24 19:02:59, nfs: parsing special-q from .dat file 10/27/24 19:03:00, test: fb generation took 1.6976 seconds 10/27/24 19:03:00, test: commencing test sieving of polynomial 1 on the rational side over range 23800000-23801000 skew: 0.9489 c5: 13 c0: 10 Y1: -1 Y0: 500000000000000000000000000000000000000000 rlim: 23800000 alim: 23800000 mfbr: 58 mfba: 58 lpbr: 29 lpba: 29 rlambda: 2.60 alambda: 2.60 10/27/24 19:04:45, nfs: parsing special-q from .dat file 10/27/24 19:04:47, test: fb generation took 1.7301 seconds 10/27/24 19:04:47, test: commencing test sieving of polynomial 2 on the rational side over range 22600000-22601000 skew: 0.1898 c5: 8125 c0: 2 Y1: -1 Y0: 100000000000000000000000000000000000000000 rlim: 22600000 alim: 22600000 mfbr: 58 mfba: 58 lpbr: 29 lpba: 29 rlambda: 2.60 alambda: 2.60 10/27/24 19:06:13, nfs: parsing special-q from .dat file 10/27/24 19:06:13, gen: selected polynomial: n: 21497897904527689587916973879467950830808247137606392418792708404824216728960538796355141289353958418126021119905793179060557510951377577965362762718918500672425995481776146495344524514435682989 # 6510^208+16, difficulty: 211.21, anorm: 6.09e+41, rnorm: 3.14e+41 # scaled difficulty: 211.27, suggest sieving algebraic side # size = 2.797e-10, alpha = -0.248, combined = 6.920e-12, rroots = 0 type: snfs size: 211 skew: 0.8528 c6: 13 c0: 5 Y1: -1 Y0: 50000000000000000000000000000000000 10/27/24 19:06:16, test: fb generation took 2.3618 seconds 10/27/24 19:06:16, test: commencing test sieving of polynomial 0 on the rational side over range 22600000-22601000 skew: 0.8528 c6: 13 c0: 5 Y1: -1 Y0: 50000000000000000000000000000000000 rlim: 22600000 alim: 22600000 mfbr: 58 mfba: 58 lpbr: 29 lpba: 29 rlambda: 2.60 alambda: 2.60 10/27/24 19:07:41, nfs: parsing special-q from .dat file 10/27/24 19:29:49, nfs: found 486348 relations, need at least 44869960 (filtering ETA: 33h 39m), continuing with sieving ... 10/27/24 19:52:15, nfs: found 990041 relations, need at least 44869960 (filtering ETA: 32h 34m), continuing with sieving ... 10/27/24 20:14:58, nfs: found 1478717 relations, need at least 44869960 (filtering ETA: 33h 36m), continuing with sieving ... 10/27/24 20:37:29, nfs: found 1974806 relations, need at least 44869960 (filtering ETA: 32h 27m), continuing with sieving ... 10/27/24 20:58:52, nfs: found 2460275 relations, need at least 44869960 (filtering ETA: 31h 7m), continuing with sieving ... 10/27/24 21:20:12, nfs: found 2943043 relations, need at least 44869960 (filtering ETA: 30h 53m), continuing with sieving ... 10/27/24 21:41:54, nfs: found 3441538 relations, need at least 44869960 (filtering ETA: 30h 3m), continuing with sieving ... 10/27/24 22:03:15, nfs: found 3926561 relations, need at least 44869960 (filtering ETA: 30h 2m), continuing with sieving ... 10/27/24 22:23:49, nfs: found 4404526 relations, need at least 44869960 (filtering ETA: 29h 1m), continuing with sieving ... 10/27/24 22:44:04, nfs: found 4868829 relations, need at least 44869960 (filtering ETA: 29h 4m), continuing with sieving ... 10/27/24 23:05:27, nfs: found 5345759 relations, need at least 44869960 (filtering ETA: 29h 32m), continuing with sieving ... 10/27/24 23:26:35, nfs: found 5824657 relations, need at least 44869960 (filtering ETA: 28h 43m), continuing with sieving ... 10/27/24 23:47:43, nfs: found 6302631 relations, need at least 44869960 (filtering ETA: 28h 24m), continuing with sieving ... 10/28/24 00:07:54, nfs: found 6774635 relations, need at least 44869960 (filtering ETA: 27h 9m), continuing with sieving ... 10/28/24 00:29:04, nfs: found 7244677 relations, need at least 44869960 (filtering ETA: 28h 14m), continuing with sieving ... 10/28/24 00:50:00, nfs: found 7722215 relations, need at least 44869960 (filtering ETA: 27h 8m), continuing with sieving ... 10/28/24 01:11:06, nfs: found 8201776 relations, need at least 44869960 (filtering ETA: 26h 52m), continuing with sieving ... 10/28/24 01:32:10, nfs: found 8673052 relations, need at least 44869960 (filtering ETA: 26h 57m), continuing with sieving ... 10/28/24 01:54:17, nfs: found 9165327 relations, need at least 44869960 (filtering ETA: 26h 43m), continuing with sieving ... 10/28/24 02:16:30, nfs: found 9635935 relations, need at least 44869960 (filtering ETA: 27h 43m), continuing with sieving ... 10/28/24 02:36:24, nfs: found 10094980 relations, need at least 44869960 (filtering ETA: 25h 8m), continuing with sieving ... 10/28/24 02:57:16, nfs: found 10555837 relations, need at least 44869960 (filtering ETA: 25h 53m), continuing with sieving ... 10/28/24 03:18:24, nfs: found 11028227 relations, need at least 44869960 (filtering ETA: 25h 13m), continuing with sieving ... 10/28/24 03:39:02, nfs: found 11496666 relations, need at least 44869960 (filtering ETA: 24h 30m), continuing with sieving ... 10/28/24 04:00:30, nfs: found 11960230 relations, need at least 44869960 (filtering ETA: 25h 24m), continuing with sieving ... 10/28/24 04:21:11, nfs: found 12414358 relations, need at least 44869960 (filtering ETA: 24h 38m), continuing with sieving ... 10/28/24 04:43:22, nfs: found 12888465 relations, need at least 44869960 (filtering ETA: 24h 56m), continuing with sieving ... 10/28/24 05:04:30, nfs: found 13351257 relations, need at least 44869960 (filtering ETA: 23h 58m), continuing with sieving ... 10/28/24 05:25:11, nfs: found 13812273 relations, need at least 44869960 (filtering ETA: 23h 13m), continuing with sieving ... 10/28/24 05:47:29, nfs: found 14284286 relations, need at least 44869960 (filtering ETA: 24h 4m), continuing with sieving ... 10/28/24 06:09:04, nfs: found 14742198 relations, need at least 44869960 (filtering ETA: 23h 40m), continuing with sieving ... 10/28/24 06:30:15, nfs: found 15199961 relations, need at least 44869960 (filtering ETA: 22h 52m), continuing with sieving ... 10/28/24 06:50:50, nfs: found 15661974 relations, need at least 44869960 (filtering ETA: 21h 41m), continuing with sieving ... 10/28/24 07:11:38, nfs: found 16119054 relations, need at least 44869960 (filtering ETA: 21h 49m), continuing with sieving ... 10/28/24 07:33:24, nfs: found 16564872 relations, need at least 44869960 (filtering ETA: 23h 1m), continuing with sieving ... 10/28/24 07:54:03, nfs: found 17022368 relations, need at least 44869960 (filtering ETA: 20h 56m), continuing with sieving ... 10/28/24 08:15:24, nfs: found 17469226 relations, need at least 44869960 (filtering ETA: 21h 49m), continuing with sieving ... 10/28/24 08:36:12, nfs: found 17919529 relations, need at least 44869960 (filtering ETA: 20h 45m), continuing with sieving ... 10/28/24 08:57:50, nfs: found 18378311 relations, need at least 44869960 (filtering ETA: 20h 49m), continuing with sieving ... 10/28/24 09:18:26, nfs: found 18838410 relations, need at least 44869960 (filtering ETA: 19h 25m), continuing with sieving ... 10/28/24 09:39:34, nfs: found 19308641 relations, need at least 44869960 (filtering ETA: 19h 8m), continuing with sieving ... 10/28/24 10:00:27, nfs: found 19769788 relations, need at least 44869960 (filtering ETA: 18h 56m), continuing with sieving ... 10/28/24 10:21:39, nfs: found 20228728 relations, need at least 44869960 (filtering ETA: 18h 58m), continuing with sieving ... 10/28/24 10:41:56, nfs: found 20667555 relations, need at least 44869960 (filtering ETA: 18h 38m), continuing with sieving ... 10/28/24 11:04:06, nfs: found 21118108 relations, need at least 44869960 (filtering ETA: 19h 28m), continuing with sieving ... 10/28/24 11:24:48, nfs: found 21560285 relations, need at least 44869960 (filtering ETA: 18h 11m), continuing with sieving ... 10/28/24 11:45:59, nfs: found 22015344 relations, need at least 44869960 (filtering ETA: 17h 43m), continuing with sieving ... 10/28/24 12:07:34, nfs: found 22464265 relations, need at least 44869960 (filtering ETA: 17h 57m), continuing with sieving ... 10/28/24 12:28:38, nfs: found 22907614 relations, need at least 44869960 (filtering ETA: 17h 23m), continuing with sieving ... 10/28/24 12:49:14, nfs: found 23332635 relations, need at least 44869960 (filtering ETA: 17h 23m), continuing with sieving ... 10/28/24 13:09:55, nfs: found 23774848 relations, need at least 44869960 (filtering ETA: 16h 26m), continuing with sieving ... 10/28/24 13:31:12, nfs: found 24218019 relations, need at least 44869960 (filtering ETA: 16h 31m), continuing with sieving ... 10/28/24 13:53:02, nfs: found 24667496 relations, need at least 44869960 (filtering ETA: 16h 21m), continuing with sieving ... 10/28/24 14:14:57, nfs: found 25106628 relations, need at least 44869960 (filtering ETA: 16h 26m), continuing with sieving ... 10/28/24 14:37:05, nfs: found 25549985 relations, need at least 44869960 (filtering ETA: 16h 4m), continuing with sieving ... 10/28/24 14:58:26, nfs: found 25987964 relations, need at least 44869960 (filtering ETA: 15h 20m), continuing with sieving ... 10/28/24 15:19:36, nfs: found 26424097 relations, need at least 44869960 (filtering ETA: 14h 55m), continuing with sieving ... 10/28/24 15:41:15, nfs: found 26867688 relations, need at least 44869960 (filtering ETA: 14h 38m), continuing with sieving ... 10/28/24 16:03:10, nfs: found 27312649 relations, need at least 44869960 (filtering ETA: 14h 24m), continuing with sieving ... 10/28/24 16:23:57, nfs: found 27743046 relations, need at least 44869960 (filtering ETA: 13h 47m), continuing with sieving ... 10/28/24 16:44:32, nfs: found 28167155 relations, need at least 44869960 (filtering ETA: 13h 30m), continuing with sieving ... 10/28/24 17:06:30, nfs: found 28597767 relations, need at least 44869960 (filtering ETA: 13h 49m), continuing with sieving ... 10/28/24 17:27:58, nfs: found 29035070 relations, need at least 44869960 (filtering ETA: 12h 57m), continuing with sieving ... 10/28/24 17:49:06, nfs: found 29467171 relations, need at least 44869960 (filtering ETA: 12h 33m), continuing with sieving ... 10/28/24 18:10:06, nfs: found 29892537 relations, need at least 44869960 (filtering ETA: 12h 19m), continuing with sieving ... 10/28/24 18:30:47, nfs: found 30321339 relations, need at least 44869960 (filtering ETA: 11h 41m), continuing with sieving ... 10/28/24 18:52:49, nfs: found 30750746 relations, need at least 44869960 (filtering ETA: 12h 4m), continuing with sieving ... 10/28/24 19:14:36, nfs: found 31192338 relations, need at least 44869960 (filtering ETA: 11h 14m), continuing with sieving ... 10/28/24 19:36:48, nfs: found 31623455 relations, need at least 44869960 (filtering ETA: 11h 21m), continuing with sieving ... 10/28/24 19:58:54, nfs: found 32043944 relations, need at least 44869960 (filtering ETA: 11h 14m), continuing with sieving ... 10/28/24 20:20:21, nfs: found 32468964 relations, need at least 44869960 (filtering ETA: 10h 25m), continuing with sieving ... 10/28/24 20:43:22, nfs: found 32911262 relations, need at least 44869960 (filtering ETA: 10h 22m), continuing with sieving ... 10/28/24 21:04:18, nfs: found 33347585 relations, need at least 44869960 (filtering ETA: 9h 12m), continuing with sieving ... 10/28/24 21:26:54, nfs: found 33779699 relations, need at least 44869960 (filtering ETA: 9h 40m), continuing with sieving ... 10/28/24 21:48:38, nfs: found 34215181 relations, need at least 44869960 (filtering ETA: 8h 51m), continuing with sieving ... 10/28/24 22:09:50, nfs: found 34640131 relations, need at least 44869960 (filtering ETA: 8h 30m), continuing with sieving ... 10/28/24 22:31:46, nfs: found 35073408 relations, need at least 44869960 (filtering ETA: 8h 15m), continuing with sieving ... 10/28/24 22:53:49, nfs: found 35500994 relations, need at least 44869960 (filtering ETA: 8h 3m), continuing with sieving ... 10/28/24 23:15:13, nfs: found 35922331 relations, need at least 44869960 (filtering ETA: 7h 34m), continuing with sieving ... 10/28/24 23:36:36, nfs: found 36345860 relations, need at least 44869960 (filtering ETA: 7h 10m), continuing with sieving ... 10/28/24 23:59:10, nfs: found 36778386 relations, need at least 44869960 (filtering ETA: 7h 1m), continuing with sieving ... 10/29/24 00:20:58, nfs: found 37207951 relations, need at least 44869960 (filtering ETA: 6h 28m), continuing with sieving ... 10/29/24 00:45:11, nfs: found 37663765 relations, need at least 44869960 (filtering ETA: 6h 22m), continuing with sieving ... 10/29/24 01:06:35, nfs: found 38092170 relations, need at least 44869960 (filtering ETA: 5h 38m), continuing with sieving ... 10/29/24 01:28:34, nfs: found 38499240 relations, need at least 44869960 (filtering ETA: 5h 44m), continuing with sieving ... 10/29/24 01:49:28, nfs: found 38911283 relations, need at least 44869960 (filtering ETA: 5h 2m), continuing with sieving ... 10/29/24 02:10:30, nfs: found 39316447 relations, need at least 44869960 (filtering ETA: 4h 48m), continuing with sieving ... 10/29/24 02:32:03, nfs: found 39734221 relations, need at least 44869960 (filtering ETA: 4h 25m), continuing with sieving ... 10/29/24 02:53:46, nfs: found 40142517 relations, need at least 44869960 (filtering ETA: 4h 11m), continuing with sieving ... 10/29/24 03:15:39, nfs: found 40560629 relations, need at least 44869960 (filtering ETA: 3h 45m), continuing with sieving ... 10/29/24 03:38:07, nfs: found 40977896 relations, need at least 44869960 (filtering ETA: 3h 29m), continuing with sieving ... 10/29/24 04:00:00, nfs: found 41385816 relations, need at least 44869960 (filtering ETA: 3h 6m), continuing with sieving ... 10/29/24 04:22:15, nfs: found 41800910 relations, need at least 44869960 (filtering ETA: 2h 44m), continuing with sieving ... 10/29/24 04:43:18, nfs: found 42209426 relations, need at least 44869960 (filtering ETA: 2h 17m), continuing with sieving ... 10/29/24 05:04:09, nfs: found 42609449 relations, need at least 44869960 (filtering ETA: 1h 57m), continuing with sieving ... 10/29/24 05:25:32, nfs: found 43024170 relations, need at least 44869960 (filtering ETA: 1h 35m), continuing with sieving ... 10/29/24 05:46:16, nfs: found 43437467 relations, need at least 44869960 (filtering ETA: 1h 11m), continuing with sieving ... 10/29/24 06:07:37, nfs: found 43841454 relations, need at least 44869960 (filtering ETA: 0h 54m), continuing with sieving ... 10/29/24 06:28:56, nfs: found 44236069 relations, need at least 44869960 (filtering ETA: 0h 34m), continuing with sieving ... 10/29/24 06:51:09, nfs: found 44648482 relations, need at least 44869960 (filtering ETA: 0h 11m), continuing with sieving ... 10/29/24 07:13:09, nfs: commencing msieve filtering 10/29/24 07:21:18, nfs: commencing msieve linear algebra 10/29/24 08:45:12, nfs: commencing msieve sqrt 10/29/24 09:05:36, prp53 = 29932184863830602526576572527018117830935709893730403 10/29/24 09:05:36, prp90 = 246937048958131415002720095910680568742524336225319313482790312101231487533483082067457599 10/29/24 09:05:36, C17 = 30235514322686544 10/29/24 09:05:36, prp52 = 2908515104261873872545298453244213822328970475041937 10/27/24 19:06:13, test: test sieving took 255.17 seconds 10/27/24 19:07:41, test: test sieving took 87.58 seconds
software ソフトウェア	YAFU

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	February 23, 2023 08:49:01 UTC 2023 年 2 月 23 日 (木) 17 時 49 分 1 秒 (日本時間)
45	11e6	3000	1000	Dmitry Domanov	March 12, 2023 07:53:25 UTC 2023 年 3 月 12 日 (日) 16 時 53 分 25 秒 (日本時間)
			1000	Dmitry Domanov	April 7, 2023 21:32:10 UTC 2023 年 4 月 8 日 (土) 6 時 32 分 10 秒 (日本時間)
			1000	Dmitry Domanov	April 24, 2023 11:16:19 UTC 2023 年 4 月 24 日 (月) 20 時 16 分 19 秒 (日本時間)
50	43e6	1000 / 6806		Dmitry Domanov	May 8, 2023 07:17:02 UTC 2023 年 5 月 8 日 (月) 16 時 17 分 2 秒 (日本時間)

65×10²¹⁰+169

c197

name 名前	Dmitry Domanov
date 日付	March 15, 2023 08:57:46 UTC 2023 年 3 月 15 日 (水) 17 時 57 分 46 秒 (日本時間)
composite number 合成数	45222019599069095420472652597977768196342464178500728976585930259096109710894106661769405124207239392477669345426805421271613071613074391562028339865215471551489667468116313286454161120414810888621<197>
prime factors 素因数	39152348141197410448814048675531323742697707<44>
composite cofactor 合成数の残り	1155027009771732531654729349318799767682570104596345552495309242109728078263048531620436371687661697665510596632371100648042708640514560725357074511106503<154>
factorization results 素因数分解の結果	Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3714758627 Step 1 took 34269ms Step 2 took 14925ms ********** Factor found in step 2: 39152348141197410448814048675531323742697707 Found prime factor of 44 digits: 39152348141197410448814048675531323742697707 Composite cofactor 1155027009771732531654729349318799767682570104596345552495309242109728078263048531620436371687661697665510596632371100648042708640514560725357074511106503 has 154 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	February 23, 2023 08:49:06 UTC 2023 年 2 月 23 日 (木) 17 時 49 分 6 秒 (日本時間)
45	11e6	3000	1000	Dmitry Domanov	March 12, 2023 07:53:06 UTC 2023 年 3 月 12 日 (日) 16 時 53 分 6 秒 (日本時間)
			1000	Dmitry Domanov	April 7, 2023 21:32:52 UTC 2023 年 4 月 8 日 (土) 6 時 32 分 52 秒 (日本時間)
			1000	Dmitry Domanov	April 24, 2023 11:16:22 UTC 2023 年 4 月 24 日 (月) 20 時 16 分 22 秒 (日本時間)
50	43e6	1000 / 6806		Dmitry Domanov	May 6, 2023 20:01:24 UTC 2023 年 5 月 7 日 (日) 5 時 1 分 24 秒 (日本時間)

65×10²¹²+169

c179

composite cofactor 合成数の残り	12523036882681149262324045029531979402081687625712339318038815928864425733887502472661898725023499100995359679507010719901678330019469095510838671460167317378721378338756588482067<179>

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	February 23, 2023 08:49:11 UTC 2023 年 2 月 23 日 (木) 17 時 49 分 11 秒 (日本時間)
45	11e6	3000	1000	Dmitry Domanov	March 12, 2023 06:41:57 UTC 2023 年 3 月 12 日 (日) 15 時 41 分 57 秒 (日本時間)
			1000	Dmitry Domanov	April 7, 2023 21:32:00 UTC 2023 年 4 月 8 日 (土) 6 時 32 分 0 秒 (日本時間)
			1000	Dmitry Domanov	April 24, 2023 11:15:30 UTC 2023 年 4 月 24 日 (月) 20 時 15 分 30 秒 (日本時間)
50	43e6	1000 / 6806		Dmitry Domanov	May 7, 2023 16:58:47 UTC 2023 年 5 月 8 日 (月) 1 時 58 分 47 秒 (日本時間)

65×10²¹³+169

c188

composite cofactor 合成数の残り	84768319567466153711527880476397644980513117123468176431119808610862170014899822520823343162457387117318199549761951010111513977969372519011608914126954439539904618464183936574594508662407<188>

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	February 23, 2023 08:49:16 UTC 2023 年 2 月 23 日 (木) 17 時 49 分 16 秒 (日本時間)
45	11e6	3000	1000	Dmitry Domanov	March 12, 2023 07:52:53 UTC 2023 年 3 月 12 日 (日) 16 時 52 分 53 秒 (日本時間)
			1000	Dmitry Domanov	April 7, 2023 21:31:47 UTC 2023 年 4 月 8 日 (土) 6 時 31 分 47 秒 (日本時間)
			1000	Dmitry Domanov	April 24, 2023 11:15:35 UTC 2023 年 4 月 24 日 (月) 20 時 15 分 35 秒 (日本時間)
50	43e6	1000 / 6806		Dmitry Domanov	May 6, 2023 11:34:28 UTC 2023 年 5 月 6 日 (土) 20 時 34 分 28 秒 (日本時間)

65×10²¹⁴+169

c199

composite cofactor 合成数の残り

3937562765459552342693993353446338019316504126679681225909420117108266105874454800311437827235484508523588204989795182105281634693673223780095663208582032589670789582015434318057079377654677511820567<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	February 23, 2023 08:49:21 UTC 2023 年 2 月 23 日 (木) 17 時 49 分 21 秒 (日本時間)
45	11e6	3000	1000	Dmitry Domanov	March 12, 2023 07:52:43 UTC 2023 年 3 月 12 日 (日) 16 時 52 分 43 秒 (日本時間)
			1000	Dmitry Domanov	April 7, 2023 21:31:38 UTC 2023 年 4 月 8 日 (土) 6 時 31 分 38 秒 (日本時間)
			1000	Dmitry Domanov	April 24, 2023 11:15:43 UTC 2023 年 4 月 24 日 (月) 20 時 15 分 43 秒 (日本時間)
50	43e6	1000 / 6806		Dmitry Domanov	May 8, 2023 07:16:32 UTC 2023 年 5 月 8 日 (月) 16 時 16 分 32 秒 (日本時間)

65×10²¹⁶+169

c215

composite cofactor 合成数の残り

50154320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654321<215>

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	February 23, 2023 08:49:26 UTC 2023 年 2 月 23 日 (木) 17 時 49 分 26 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	March 28, 2023 14:08:30 UTC 2023 年 3 月 28 日 (火) 23 時 8 分 30 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	April 13, 2023 09:31:39 UTC 2023 年 4 月 13 日 (木) 18 時 31 分 39 秒 (日本時間)

65×10²¹⁷+169

c157

name 名前	Dmitry Domanov
date 日付	May 8, 2023 15:56:42 UTC 2023 年 5 月 9 日 (火) 0 時 56 分 42 秒 (日本時間)
composite number 合成数	3296273492755457497739914008529490693602411869405120891924308174713891696857581197726356796034222360602265871660222800325604822921009777671916327185529567279<157>
prime factors 素因数	199873765588960040279646117222227371426298509<45> 16491776612315578684714349569722618963782781848325086392957703380121637270690923374349990727560568326842087951531<113>
factorization results 素因数分解の結果	Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:1855964076 Step 1 took 168292ms ********** Factor found in step 1: 199873765588960040279646117222227371426298509 Found prime factor of 45 digits: 199873765588960040279646117222227371426298509 Prime cofactor 16491776612315578684714349569722618963782781848325086392957703380121637270690923374349990727560568326842087951531 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	February 23, 2023 08:49:32 UTC 2023 年 2 月 23 日 (木) 17 時 49 分 32 秒 (日本時間)
45	11e6	3000	1000	Dmitry Domanov	March 12, 2023 06:41:58 UTC 2023 年 3 月 12 日 (日) 15 時 41 分 58 秒 (日本時間)
			1000	Dmitry Domanov	April 7, 2023 21:33:01 UTC 2023 年 4 月 8 日 (土) 6 時 33 分 1 秒 (日本時間)
			1000	Dmitry Domanov	April 24, 2023 11:15:51 UTC 2023 年 4 月 24 日 (月) 20 時 15 分 51 秒 (日本時間)
50	43e6	1000 / 6806		Dmitry Domanov	May 8, 2023 00:08:14 UTC 2023 年 5 月 8 日 (月) 9 時 8 分 14 秒 (日本時間)

65×10²¹⁹+169

c153

name 名前	Dmitry Domanov
date 日付	April 8, 2023 13:20:27 UTC 2023 年 4 月 8 日 (土) 22 時 20 分 27 秒 (日本時間)
composite number 合成数	973573449523624770563311351681840664491964479355660251074654864448401360426101203498617210911602893914670033920522629484195384124754366137674485272601457<153>
prime factors 素因数	287614545749226256525703532641474471491978627<45> 3384993783911375377349623788073558384734549598741845734422976013508481479126219083564950755828366305499223291<109>
factorization results 素因数分解の結果	Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2163564044 Step 1 took 24655ms Step 2 took 12264ms ********** Factor found in step 2: 287614545749226256525703532641474471491978627 Found prime factor of 45 digits: 287614545749226256525703532641474471491978627 Prime cofactor 3384993783911375377349623788073558384734549598741845734422976013508481479126219083564950755828366305499223291 has 109 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	February 23, 2023 08:49:39 UTC 2023 年 2 月 23 日 (木) 17 時 49 分 39 秒 (日本時間)
45	11e6	2000 / 4038	1000	Dmitry Domanov	March 12, 2023 06:42:08 UTC 2023 年 3 月 12 日 (日) 15 時 42 分 8 秒 (日本時間)
45	11e6	2000 / 4038	1000	Dmitry Domanov	April 7, 2023 21:33:08 UTC 2023 年 4 月 8 日 (土) 6 時 33 分 8 秒 (日本時間)

65×10²²³+169

c189

name 名前	Dmitry Domanov
date 日付	April 10, 2023 04:50:44 UTC 2023 年 4 月 10 日 (月) 13 時 50 分 44 秒 (日本時間)
composite number 合成数	152638378888440670218710700327577230327660359143684957382290812464002898877210721970286527800135375518556839869754206085195996657023171260787311506029090516035656788016387875544652091034097<189>
prime factors 素因数	14713063415941255274967905164062176557378067<44>
composite cofactor 合成数の残り	10374343844876017232227115378773511675741454794353630166561620053728978612935339472678584053063169114868393220934714011978393658570445242670890091<146>
factorization results 素因数分解の結果	Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1236852693 Step 1 took 30375ms Step 2 took 14001ms ********** Factor found in step 2: 14713063415941255274967905164062176557378067 Found prime factor of 44 digits: 14713063415941255274967905164062176557378067 Composite cofactor 10374343844876017232227115378773511675741454794353630166561620053728978612935339472678584053063169114868393220934714011978393658570445242670890091 has 146 digits

c146

name 名前	Bob Backstrom
date 日付	February 3, 2024 08:16:54 UTC 2024 年 2 月 3 日 (土) 17 時 16 分 54 秒 (日本時間)
composite number 合成数	10374343844876017232227115378773511675741454794353630166561620053728978612935339472678584053063169114868393220934714011978393658570445242670890091<146>
prime factors 素因数	45043850099345569686468150383434121134614538162067<50> 230316543146180644974880647428938130823492872183185135561996839070868386004229121184499750057673<96>
factorization results 素因数分解の結果	STA:Wed 31 Jan 2024 10:44:16 AEDT (10374343844876017232227115378773511675741454794353630166561620053728978612935339472678584053063169114868393220934714011978393658570445242670890091 - C146) /home/vboxuser/Math/cado-nfs/cado-nfs.py -t 30 --no-colors --screenlog DEBUG 10374343844876017232227115378773511675741454794353630166561620053728978612935339472678584053063169114868393220934714011978393658570445242670890091 2>&1 \| tee -a log-16 Debug:root: Looking for parameter file for c146 in directory /home/vboxuser/Math/cado-nfs/parameters/factor Info:root: Using default parameter file /home/vboxuser/Math/cado-nfs/parameters/factor/params.c145 Debug:Parameters: Reading parameter file /home/vboxuser/Math/cado-nfs/parameters/factor/params.c145 Info:root: No database exists yet Info:root: Created temporary directory /tmp/cado.d48eipa4 Info:Database: Opened connection to database /tmp/cado.d48eipa4/c145.db Info:root: Set tasks.threads=30 based on --server-threads 30 Info:root: tasks.threads = 30 [via tasks.threads] Info:root: tasks.polyselect.threads = 2 [via tasks.polyselect.threads] Info:root: tasks.sieve.las.threads = 2 [via tasks.sieve.las.threads] Info:root: tasks.linalg.bwc.threads = 30 [via tasks.threads] Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads] Info:root: slaves.scriptpath is /home/vboxuser/Math/cado-nfs/build/Ubuntu Info:root: Command line parameters: /home/vboxuser/Math/cado-nfs/cado-nfs.py -t 30 --no-colors --screenlog DEBUG 10374343844876017232227115378773511675741454794353630166561620053728978612935339472678584053063169114868393220934714011978393658570445242670890091 Debug:root: Root parameter dictionary: N = 10374343844876017232227115378773511675741454794353630166561620053728978612935339472678584053063169114868393220934714011978393658570445242670890091 name = c145 === Info:Polynomial Selection (root optimized): Best polynomial is: n: 10374343844876017232227115378773511675741454794353630166561620053728978612935339472678584053063169114868393220934714011978393658570445242670890091 skew: 175202.48 c0: -44226581661496857462592614472457 c1: 1043842962028699131096072683 c2: 6748821430654860103805 c3: -156107958510803360 c4: -174300908679 c5: 185220 Y0: -11115641228372675085112269958 Y1: 114737926164223937821 # MurphyE (Bf=1.074e+09,Bg=1.074e+09,area=2.684e+14) = 4.672e-07 # f(x) = 185220x^5-174300908679x^4-156107958510803360x^3+6748821430654860103805x^2+1043842962028699131096072683x-44226581661496857462592614472457 # g(x) = 114737926164223937821x-11115641228372675085112269958 === Debug:Command: Process with PID 1255811 finished successfully Info:Square Root: finished Info:Square Root: Factors: 45043850099345569686468150383434121134614538162067 230316543146180644974880647428938130823492872183185135561996839070868386004229121184499750057673 Debug:Square Root: Exit SqrtTask.run(sqrt) Info:Complete Factorization / Discrete logarithm: Square Root Info:Square Root: Total cpu/real time for sqrt: 5114.5/618.116 Info:HTTP server: Got notification to stop serving Workunits Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 85078289 Info:Lattice Sieving: Average J: 7648.47 for 499379 special-q, max bucket fill -bkmult 1.0,1s:1.145880 Info:Lattice Sieving: Total time: 3.76592e+06s Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 133692 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 92834/42.660/54.334/65.400/2.472 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 79060/42.270/47.107/57.370/1.337 Info:Polynomial Selection (size optimized): Total time: 93859 Info:Square Root: Total cpu/real time for sqrt: 5114.5/618.116 Info:Quadratic Characters: Total cpu/real time for characters: 106.63/29.2252 Info:Filtering - Singleton removal: Total cpu/real time for purge: 485.1/134.462 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 717.37/4788.22 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 4787.8s Info:Filtering - Merging: Total cpu/real time for merge: 436.56/72.0597 Info:Filtering - Merging: Total cpu/real time for replay: 54.36/48.9413 Info:Generate Factor Base: Total cpu/real time for makefb: 11.11/3.44242 Info:Linear Algebra: Total cpu/real time for bwc: 92683.3/18921 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 53809.39, WCT time 11492.08, iteration CPU time 0.05, COMM 0.06, cpu-wait 0.03, comm-wait 0.01 (76000 iterations) Info:Linear Algebra: Lingen CPU time 232.0, WCT time 51.68 Info:Linear Algebra: Mksol: CPU time 33679.06, WCT time 6531.45, iteration CPU time 0.07, COMM 0.06, cpu-wait 0.02, comm-wait 0.0 (40000 iterations) Info:Generate Free Relations: Total cpu/real time for freerel: 746.58/82.3061 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1732.81/1311.22 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 1085.3s Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 6341.66 Info:Polynomial Selection (root optimized): Rootsieve time: 6337.37 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 1.94653e+06/289344 [3d 08:22:24] Info:root: Cleaning up computation data in /tmp/cado.d48eipa4 45043850099345569686468150383434121134614538162067 230316543146180644974880647428938130823492872183185135561996839070868386004229121184499750057673 END:Sat 03 Feb 2024 19:06:43 AEDT (10374343844876017232227115378773511675741454794353630166561620053728978612935339472678584053063169114868393220934714011978393658570445242670890091 - C146)

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	February 23, 2023 08:49:45 UTC 2023 年 2 月 23 日 (木) 17 時 49 分 45 秒 (日本時間)
45	11e6	6480	1000	Dmitry Domanov	March 12, 2023 07:52:32 UTC 2023 年 3 月 12 日 (日) 16 時 52 分 32 秒 (日本時間)
			1000	Dmitry Domanov	April 7, 2023 21:31:26 UTC 2023 年 4 月 8 日 (土) 6 時 31 分 26 秒 (日本時間)
			4480	Ignacio Santos	April 11, 2023 07:28:08 UTC 2023 年 4 月 11 日 (火) 16 時 28 分 8 秒 (日本時間)
50	43e6	6454		Ignacio Santos	April 11, 2023 14:37:19 UTC 2023 年 4 月 11 日 (火) 23 時 37 分 19 秒 (日本時間)

65×10²²⁴+169

c158

name 名前	Dmitry Domanov
date 日付	February 21, 2023 17:46:55 UTC 2023 年 2 月 22 日 (水) 2 時 46 分 55 秒 (日本時間)
composite number 合成数	41734539456203372080744747916102810101294978805762291571708147122589925593564622212273753313787380899572762517987656774101261900726577536112589236714576665403<158>
prime factors 素因数	1066965068899605531733047709832547622253<40> 39115188184413111840759500288514426172019723894410542652865662016731200949961744153955602434618437927082976726941268551<119>
factorization results 素因数分解の結果	Resuming ECM residue saved by @99cb416b88e1 with GMP-ECM 7.0.5-dev on Tue Feb 21 01:01:04 2023 Input number is 41734539456203372080744747916102810101294978805762291571708147122589925593564622212273753313787380899572762517987656774101261900726577536112589236714576665403 (158 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1837952714 Step 1 took 0ms Step 2 took 3988ms ********** Factor found in step 2: 1066965068899605531733047709832547622253 Found prime factor of 40 digits: 1066965068899605531733047709832547622253 Prime cofactor 39115188184413111840759500288514426172019723894410542652865662016731200949961744153955602434618437927082976726941268551 has 119 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)

65×10²²⁵+169

c195

composite cofactor 合成数の残り	291120783866702708973738642089838209388436152186986771129093689539959457943690154807694991033264006809612669545138480679019416857732532249811480667555076438276798940806210436845454918360548259649<195>

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	February 23, 2023 08:49:51 UTC 2023 年 2 月 23 日 (木) 17 時 49 分 51 秒 (日本時間)
45	11e6	3000	1000	Dmitry Domanov	March 12, 2023 07:52:22 UTC 2023 年 3 月 12 日 (日) 16 時 52 分 22 秒 (日本時間)
			1000	Dmitry Domanov	April 7, 2023 21:31:16 UTC 2023 年 4 月 8 日 (土) 6 時 31 分 16 秒 (日本時間)
			1000	Dmitry Domanov	April 24, 2023 11:15:58 UTC 2023 年 4 月 24 日 (月) 20 時 15 分 58 秒 (日本時間)
50	43e6	1000 / 6806		Dmitry Domanov	May 8, 2023 07:29:40 UTC 2023 年 5 月 8 日 (月) 16 時 29 分 40 秒 (日本時間)

65×10²²⁶+169

c166

composite cofactor 合成数の残り	7923932908076424548100668605827022043124912326468494344864042108905077580637289714244778301155176683713509430998574898482336666981045142909837302161118021982206243143<166>

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	February 23, 2023 08:49:55 UTC 2023 年 2 月 23 日 (木) 17 時 49 分 55 秒 (日本時間)
45	11e6	3000	1000	Dmitry Domanov	March 12, 2023 06:42:16 UTC 2023 年 3 月 12 日 (日) 15 時 42 分 16 秒 (日本時間)
			1000	Dmitry Domanov	April 7, 2023 21:33:17 UTC 2023 年 4 月 8 日 (土) 6 時 33 分 17 秒 (日本時間)
			1000	Dmitry Domanov	April 24, 2023 11:16:05 UTC 2023 年 4 月 24 日 (月) 20 時 16 分 5 秒 (日本時間)
50	43e6	1000 / 6806		Dmitry Domanov	May 7, 2023 16:59:43 UTC 2023 年 5 月 8 日 (月) 1 時 59 分 43 秒 (日本時間)

65×10²²⁷+169

c206

name 名前	Dmitry Domanov
date 日付	February 22, 2023 06:58:09 UTC 2023 年 2 月 22 日 (水) 15 時 58 分 9 秒 (日本時間)
composite number 合成数	43668782030698393775455173434049179157153704083714871915684853126803998952083233646006262201538074790591590511672810047708797780032536833041539750347323030230699926609693420142890062100428268115416660300333<206>
prime factors 素因数	64763262585083825167206219893558558061817<41>
composite cofactor 合成数の残り	674283232308251875429548880388887928744217272301525656507883751967500895365410443433441927636863356296400301298520849508565005276383944813466641892391417209060308949<165>
factorization results 素因数分解の結果	Resuming ECM residue saved by @99cb416b88e1 with GMP-ECM 7.0.5-dev on Tue Feb 21 01:09:54 2023 Input number is 43668782030698393775455173434049179157153704083714871915684853126803998952083233646006262201538074790591590511672810047708797780032536833041539750347323030230699926609693420142890062100428268115416660300333 (206 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:745210774 Step 1 took 0ms Step 2 took 5167ms ********** Factor found in step 2: 64763262585083825167206219893558558061817 Found prime factor of 41 digits: 64763262585083825167206219893558558061817 Composite cofactor 674283232308251875429548880388887928744217272301525656507883751967500895365410443433441927636863356296400301298520849508565005276383944813466641892391417209060308949 has 165 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	February 23, 2023 08:50:02 UTC 2023 年 2 月 23 日 (木) 17 時 50 分 2 秒 (日本時間)
45	11e6	3000	1000	Dmitry Domanov	March 12, 2023 06:42:23 UTC 2023 年 3 月 12 日 (日) 15 時 42 分 23 秒 (日本時間)
			1000	Dmitry Domanov	April 7, 2023 21:33:24 UTC 2023 年 4 月 8 日 (土) 6 時 33 分 24 秒 (日本時間)
			1000	Dmitry Domanov	April 24, 2023 11:16:14 UTC 2023 年 4 月 24 日 (月) 20 時 16 分 14 秒 (日本時間)
50	43e6	1000 / 6806		Dmitry Domanov	May 7, 2023 17:00:05 UTC 2023 年 5 月 8 日 (月) 2 時 0 分 5 秒 (日本時間)

65×10²²⁸+169

c213

composite cofactor 合成数の残り

659541812579747367048517384158159808035635354256647709486325363284074598136626367123007502828726658249157564894890775921718800412837754905787779814814521213545999766905584503345048267455609676067283493595825816443<213>

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	February 23, 2023 08:50:23 UTC 2023 年 2 月 23 日 (木) 17 時 50 分 23 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	March 28, 2023 14:08:38 UTC 2023 年 3 月 28 日 (火) 23 時 8 分 38 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	April 13, 2023 09:31:48 UTC 2023 年 4 月 13 日 (木) 18 時 31 分 48 秒 (日本時間)

65×10²²⁹+169

c205

composite cofactor 合成数の残り

8081311662188559902363123834048929961447979267324043116757975462446153416731188460103508248606374856092923081859222870342736044152442861621671819588079027363036314129425355553307151288843211746911873051797<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	February 23, 2023 08:50:27 UTC 2023 年 2 月 23 日 (木) 17 時 50 分 27 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	March 28, 2023 14:08:45 UTC 2023 年 3 月 28 日 (火) 23 時 8 分 45 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	April 13, 2023 09:31:56 UTC 2023 年 4 月 13 日 (木) 18 時 31 分 56 秒 (日本時間)
50	43e6	1792 / 6675		Dmitry Domanov	May 5, 2023 21:43:15 UTC 2023 年 5 月 6 日 (土) 6 時 43 分 15 秒 (日本時間)

65×10²³⁰+169

c182

composite cofactor 合成数の残り	12807774858104193292013616394790019035299543449664172506121182582514941919490617557954407840987398826999180885850237510850669111033959080206346669864742852929590684615098520509185523<182>

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	February 23, 2023 08:50:32 UTC 2023 年 2 月 23 日 (木) 17 時 50 分 32 秒 (日本時間)
45	11e6	3000	1000	Dmitry Domanov	March 12, 2023 07:52:01 UTC 2023 年 3 月 12 日 (日) 16 時 52 分 1 秒 (日本時間)
			1000	Dmitry Domanov	April 7, 2023 21:33:31 UTC 2023 年 4 月 8 日 (土) 6 時 33 分 31 秒 (日本時間)
			1000	Dmitry Domanov	April 24, 2023 11:17:37 UTC 2023 年 4 月 24 日 (月) 20 時 17 分 37 秒 (日本時間)
50	43e6	1000 / 6806		Dmitry Domanov	May 7, 2023 16:59:16 UTC 2023 年 5 月 8 日 (月) 1 時 59 分 16 秒 (日本時間)

65×10²³¹+169

c195

name 名前	Dmitry Domanov
date 日付	May 10, 2023 06:38:00 UTC 2023 年 5 月 10 日 (水) 15 時 38 分 0 秒 (日本時間)
composite number 合成数	657434947176184664123706127514855699606348102190569041070798845651914478491441667882213121665878666781228313252640751093605511414585223158912873800391868504115394504358796535074747018706212242039<195>
prime factors 素因数	7094180803311590742883970915516782038596461<43> 92672426232679538600280232521459399934408778876706320002048348335050039747074436608858157046018270939114475826811722420898062892774931013971583789728499<152>
factorization results 素因数分解の結果	Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=739137856 Step 1 took 185604ms Step 2 took 46520ms ********** Factor found in step 2: 7094180803311590742883970915516782038596461 Found probable prime factor of 43 digits: 7094180803311590742883970915516782038596461 Probable prime cofactor 92672426232679538600280232521459399934408778876706320002048348335050039747074436608858157046018270939114475826811722420898062892774931013971583789728499 has 152 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	February 23, 2023 08:50:37 UTC 2023 年 2 月 23 日 (木) 17 時 50 分 37 秒 (日本時間)
45	11e6	3000	1000	Dmitry Domanov	March 12, 2023 07:52:12 UTC 2023 年 3 月 12 日 (日) 16 時 52 分 12 秒 (日本時間)
			1000	Dmitry Domanov	April 7, 2023 21:31:00 UTC 2023 年 4 月 8 日 (土) 6 時 31 分 0 秒 (日本時間)
			1000	Dmitry Domanov	April 24, 2023 11:17:46 UTC 2023 年 4 月 24 日 (月) 20 時 17 分 46 秒 (日本時間)
50	43e6	1000 / 6806		Dmitry Domanov	May 9, 2023 16:55:34 UTC 2023 年 5 月 10 日 (水) 1 時 55 分 34 秒 (日本時間)

65×10²³⁴+169

c181

name 名前	Dmitry Domanov
date 日付	February 21, 2023 05:30:44 UTC 2023 年 2 月 21 日 (火) 14 時 30 分 44 秒 (日本時間)
composite number 合成数	5550804914720414856477571502995802162902176315761160982433550246795725160307642643367679616947415511476257639196767357529700829263246898969973274111038239594777607893991539380715669<181>
prime factors 素因数	10011021888117775043315718956299303<35>
composite cofactor 合成数の残り	554469361545272869890296853196803699286716104502533006385618346734175182994256365905710391987029519066675682575957199464816141883500472008437853923<147>
factorization results 素因数分解の結果	GPU: factor 10011021888117775043315718956299303 found in Step 1 with curve 123 (-sigma 3:351515808) Computing 1792 Step 1 took 273ms of CPU time / 178455ms of GPU time Throughput: 10.042 curves per second (on average 99.58ms per Step 1) ********** Factor found in step 1: 10011021888117775043315718956299303 Found prime factor of 35 digits: 10011021888117775043315718956299303 Composite cofactor 554469361545272869890296853196803699286716104502533006385618346734175182994256365905710391987029519066675682575957199464816141883500472008437853923 has 147 digits Peak memory usage: 9428MB

c147

name 名前	Thomas Kozlowski
date 日付	August 25, 2024 01:23:53 UTC 2024 年 8 月 25 日 (日) 10 時 23 分 53 秒 (日本時間)
composite number 合成数	554469361545272869890296853196803699286716104502533006385618346734175182994256365905710391987029519066675682575957199464816141883500472008437853923<147>
prime factors 素因数	22488282354349528923153547234843755222532995441629473213775641<62> 24655923151820050810345876561950611881806779590307512697448563548075643042037685447003<86>
factorization results 素因数分解の結果	24655923151820050810345876561950611881806779590307512697448563548075643042037685447003 22488282354349528923153547234843755222532995441629473213775641
software ソフトウェア	cado-nfs
execution environment 実行環境	2x Xeon E5-2698v4, 256GB DDR4, Ubuntu Server 22.04

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	2350		Rytis Slatkevičius	February 21, 2023 20:31:24 UTC 2023 年 2 月 22 日 (水) 5 時 31 分 24 秒 (日本時間)
45	11e6	4834	90	Rytis Slatkevičius	February 21, 2023 20:31:24 UTC 2023 年 2 月 22 日 (水) 5 時 31 分 24 秒 (日本時間)
			264	Rytis Slatkevičius	February 21, 2023 20:39:56 UTC 2023 年 2 月 22 日 (水) 5 時 39 分 56 秒 (日本時間)
			4480	Ignacio Santos	March 4, 2023 10:34:58 UTC 2023 年 3 月 4 日 (土) 19 時 34 分 58 秒 (日本時間)
50	43e6	6454		Ignacio Santos	April 4, 2023 14:07:21 UTC 2023 年 4 月 4 日 (火) 23 時 7 分 21 秒 (日本時間)

65×10²³⁵+169

c209

composite cofactor 合成数の残り

12293197488018187881078813117251482854119224097814297205045291347424081435630196890225054227649453052080647274428821934194404008549247778806306039332053207754534798141956905504455097721283674226647187938001767<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	February 23, 2023 08:51:04 UTC 2023 年 2 月 23 日 (木) 17 時 51 分 4 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	March 28, 2023 14:08:54 UTC 2023 年 3 月 28 日 (火) 23 時 8 分 54 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	April 13, 2023 09:32:04 UTC 2023 年 4 月 13 日 (木) 18 時 32 分 4 秒 (日本時間)
50	43e6	1792 / 6675		Dmitry Domanov	May 5, 2023 21:43:23 UTC 2023 年 5 月 6 日 (土) 6 時 43 分 23 秒 (日本時間)

65×10²³⁶+169

c210

name 名前	Dmitry Domanov
date 日付	February 22, 2023 06:58:35 UTC 2023 年 2 月 22 日 (水) 15 時 58 分 35 秒 (日本時間)
composite number 合成数	589923408917256059887480937728331710394225825040970465110599129549553806545805461934531394615065174351556049764977696348415304511002983712147662335543172620947704281432675061464675430333841401399848217637504723<210>
prime factors 素因数	1149965467051757781897580402624974871<37>
composite cofactor 合成数の残り	512992281785366618536634565264722080364806185657869454034043594127637168272956450664638378016745456970939276911940794242471465709828243614518089392544602099756833858776373413<174>
factorization results 素因数分解の結果	Resuming ECM residue saved by @99cb416b88e1 with GMP-ECM 7.0.5-dev on Tue Feb 21 01:30:30 2023 Input number is 589923408917256059887480937728331710394225825040970465110599129549553806545805461934531394615065174351556049764977696348415304511002983712147662335543172620947704281432675061464675430333841401399848217637504723 (210 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:147400968 Step 1 took 0ms Step 2 took 5131ms ********** Factor found in step 2: 1149965467051757781897580402624974871 Found prime factor of 37 digits: 1149965467051757781897580402624974871 Composite cofactor 512992281785366618536634565264722080364806185657869454034043594127637168272956450664638378016745456970939276911940794242471465709828243614518089392544602099756833858776373413 has 174 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	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	February 23, 2023 08:51:09 UTC 2023 年 2 月 23 日 (木) 17 時 51 分 9 秒 (日本時間)
45	11e6	3000 / 4038	1000	Dmitry Domanov	March 12, 2023 06:42:38 UTC 2023 年 3 月 12 日 (日) 15 時 42 分 38 秒 (日本時間)
			1000	Dmitry Domanov	April 7, 2023 21:33:50 UTC 2023 年 4 月 8 日 (土) 6 時 33 分 50 秒 (日本時間)
			1000	Dmitry Domanov	April 24, 2023 11:17:54 UTC 2023 年 4 月 24 日 (月) 20 時 17 分 54 秒 (日本時間)

65×10²³⁷+169

c235

composite cofactor 合成数の残り

1264394646747587924058512293806411453470276999688764394646747587924058512293806411453470276999688764394646747587924058512293806411453470276999688764394646747587924058512293806411453470276999688764394646747587924058512293806411453470277<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	February 23, 2023 08:51:14 UTC 2023 年 2 月 23 日 (木) 17 時 51 分 14 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	March 23, 2023 23:02:36 UTC 2023 年 3 月 24 日 (金) 8 時 2 分 36 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	April 10, 2023 17:06:09 UTC 2023 年 4 月 11 日 (火) 2 時 6 分 9 秒 (日本時間)

65×10²³⁹+169

c236

name 名前	Dmitry Domanov
date 日付	February 22, 2023 06:59:08 UTC 2023 年 2 月 22 日 (水) 15 時 59 分 8 秒 (日本時間)
composite number 合成数	53800821083300225135743610117865183419414647066613693550523109521917626804396768639915243014170308568401536220368163157197722156005827042775791285922394384849688782942656601774599390809164349092835386041583896172692358627996291881869951<236>
prime factors 素因数	9023771570687307870238359309391267140517<40> 5962121343814381619239490864656274575522021113859465426107703564168506208236828098325940204199840460078560895264471441766653529233470874395597443584287289542095568061096136275121959282388065285203<196>
factorization results 素因数分解の結果	Resuming ECM residue saved by @99cb416b88e1 with GMP-ECM 7.0.5-dev on Tue Feb 21 01:39:27 2023 Input number is 53800821083300225135743610117865183419414647066613693550523109521917626804396768639915243014170308568401536220368163157197722156005827042775791285922394384849688782942656601774599390809164349092835386041583896172692358627996291881869951 (236 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2357600850 Step 1 took 0ms Step 2 took 6144ms ********** Factor found in step 2: 9023771570687307870238359309391267140517 Found prime factor of 40 digits: 9023771570687307870238359309391267140517 Prime cofactor 5962121343814381619239490864656274575522021113859465426107703564168506208236828098325940204199840460078560895264471441766653529233470874395597443584287289542095568061096136275121959282388065285203 has 196 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)

65×10²⁴⁰+169

c232

composite cofactor 合成数の残り

8421000718393757532170570260156727540375931174308145971975004960824478591483167982501664212574589000907786986735420007355383967793914363644232596318851726478956725547941250430903902298780633499249952607644387737581071409528492177649<232>

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	February 23, 2023 08:51:50 UTC 2023 年 2 月 23 日 (木) 17 時 51 分 50 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	March 23, 2023 23:02:44 UTC 2023 年 3 月 24 日 (金) 8 時 2 分 44 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	April 10, 2023 17:06:18 UTC 2023 年 4 月 11 日 (火) 2 時 6 分 18 秒 (日本時間)

65×10²⁴¹+169

c226

composite cofactor 合成数の残り

1903509794549448999531864972287655050291775060993886696584155260790100640689127080646591634099833222637169832254518738956160122334641001209971674859380040999951871381559828967384294874039680980239460762349064538237946778604053<226>

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	February 23, 2023 08:51:55 UTC 2023 年 2 月 23 日 (木) 17 時 51 分 55 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	March 28, 2023 14:09:02 UTC 2023 年 3 月 28 日 (火) 23 時 9 分 2 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	April 13, 2023 09:32:12 UTC 2023 年 4 月 13 日 (木) 18 時 32 分 12 秒 (日本時間)

65×10²⁴²+169

c216

composite cofactor 合成数の残り

133075211587782804899420673078658117060614335066685556764616751859420162789487995639404728711122539150849852133038352753870629982340035752065258985109039187878528767021275222997211217278448271814029684032364760926549<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	1792		Dmitry Domanov	February 23, 2023 08:52:01 UTC 2023 年 2 月 23 日 (木) 17 時 52 分 1 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	March 28, 2023 14:09:10 UTC 2023 年 3 月 28 日 (火) 23 時 9 分 10 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	April 13, 2023 09:32:19 UTC 2023 年 4 月 13 日 (木) 18 時 32 分 19 秒 (日本時間)

65×10²⁴³+169

c218

composite cofactor 合成数の残り

14558534857989481124485187997912559246924759049559151701535099992873291536020991069411002548521305794679340113602800504882239362481361156463330294775705812433287214035176976093781808812996409986967318643929807548349761<218>

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	February 23, 2023 08:52:06 UTC 2023 年 2 月 23 日 (木) 17 時 52 分 6 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	March 28, 2023 14:09:23 UTC 2023 年 3 月 28 日 (火) 23 時 9 分 23 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	April 13, 2023 09:32:27 UTC 2023 年 4 月 13 日 (木) 18 時 32 分 27 秒 (日本時間)

65×10²⁴⁴+169

c228

composite cofactor 合成数の残り

295832378425997623323733321951088288621885197088788536256194306252970665582617527445858162259155157860956101868927126277488331181791381307358374844018234046271093663236810300135298138764799713816309341748029498364679874127731631<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	1792	Dmitry Domanov	February 23, 2023 08:52:11 UTC 2023 年 2 月 23 日 (木) 17 時 52 分 11 秒 (日本時間)
45	11e6	1792 / 4038	Dmitry Domanov	March 28, 2023 14:09:28 UTC 2023 年 3 月 28 日 (火) 23 時 9 分 28 秒 (日本時間)

65×10²⁴⁵+169

c194

name 名前	Dmitry Domanov
date 日付	April 9, 2023 14:16:10 UTC 2023 年 4 月 9 日 (日) 23 時 16 分 10 秒 (日本時間)
composite number 合成数	42735952911854413140228692183198752662045326980438801027388571859032246568266447678036810757034991111193153965634620322780925604325692711807371280191726279369952914913121705681608498828346440343<194>
prime factors 素因数	203428087618823761758321035831702815699609<42> 210078919838894152799064734696823649033843043928762614730312963122377784389167104307909758321635382159660563355987222608496220748342625243205046128510127<153>
factorization results 素因数分解の結果	Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3684960249 Step 1 took 49728ms Step 2 took 16396ms ********** Factor found in step 2: 203428087618823761758321035831702815699609 Found probable prime factor of 42 digits: 203428087618823761758321035831702815699609 Probable prime cofactor 210078919838894152799064734696823649033843043928762614730312963122377784389167104307909758321635382159660563355987222608496220748342625243205046128510127 has 153 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	February 23, 2023 08:52:20 UTC 2023 年 2 月 23 日 (木) 17 時 52 分 20 秒 (日本時間)
45	11e6	2000 / 4038	1000	Dmitry Domanov	March 12, 2023 07:50:21 UTC 2023 年 3 月 12 日 (日) 16 時 50 分 21 秒 (日本時間)
45	11e6	2000 / 4038	1000	Dmitry Domanov	April 7, 2023 21:34:43 UTC 2023 年 4 月 8 日 (土) 6 時 34 分 43 秒 (日本時間)

65×10²⁴⁶+169

c184

name 名前	Dmitry Domanov
date 日付	May 10, 2023 16:29:18 UTC 2023 年 5 月 11 日 (木) 1 時 29 分 18 秒 (日本時間)
composite number 合成数	6599080327560262191559440244244530172116556246031749292748950510292915400776779452356401339314078311753183778782701572600232991051810189810537064681358560961760660940947525666806806671<184>
prime factors 素因数	1883845304586030027657456409063163186810853497083<49> 3502984194878141791918265778391770514511677447526178965682901333080509727317905430460058409163630440023758510035334747731257729988506237<136>
factorization results 素因数分解の結果	Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:1009642479 Step 1 took 136601ms Step 2 took 46911ms ********** Factor found in step 2: 1883845304586030027657456409063163186810853497083 Found prime factor of 49 digits: 1883845304586030027657456409063163186810853497083 Prime cofactor 3502984194878141791918265778391770514511677447526178965682901333080509727317905430460058409163630440023758510035334747731257729988506237 has 136 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	February 23, 2023 08:52:26 UTC 2023 年 2 月 23 日 (木) 17 時 52 分 26 秒 (日本時間)
45	11e6	3000	1000	Dmitry Domanov	March 12, 2023 07:51:40 UTC 2023 年 3 月 12 日 (日) 16 時 51 分 40 秒 (日本時間)
			1000	Dmitry Domanov	April 7, 2023 21:34:51 UTC 2023 年 4 月 8 日 (土) 6 時 34 分 51 秒 (日本時間)
			1000	Dmitry Domanov	April 24, 2023 11:18:02 UTC 2023 年 4 月 24 日 (月) 20 時 18 分 2 秒 (日本時間)
50	43e6	1000 / 6806		Dmitry Domanov	May 9, 2023 23:47:37 UTC 2023 年 5 月 10 日 (水) 8 時 47 分 37 秒 (日本時間)

65×10²⁴⁷+169

c209

composite cofactor 合成数の残り

65172756375030086014934993596547616453480871990999890796154410994449534989841894503064358908846489122844045836427330865352824108002092541668747720893122883663139592916975263679432248688181322439168607193188397<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	February 23, 2023 08:52:31 UTC 2023 年 2 月 23 日 (木) 17 時 52 分 31 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	March 28, 2023 14:09:40 UTC 2023 年 3 月 28 日 (火) 23 時 9 分 40 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	April 13, 2023 09:32:34 UTC 2023 年 4 月 13 日 (木) 18 時 32 分 34 秒 (日本時間)
50	43e6	1792 / 6675		Dmitry Domanov	May 5, 2023 21:43:31 UTC 2023 年 5 月 6 日 (土) 6 時 43 分 31 秒 (日本時間)

65×10²⁴⁸+169

c244

composite cofactor 合成数の残り

1251737025842014611044865336205010645541967468702722855408582371228997778455641521002991844066689467538029696594350930059867693322117769581788882418371339920936437949277304813756936548872435287121513238370785305146526410495795704192587251847949<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	February 23, 2023 08:52:36 UTC 2023 年 2 月 23 日 (木) 17 時 52 分 36 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	March 23, 2023 23:02:52 UTC 2023 年 3 月 24 日 (金) 8 時 2 分 52 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	April 10, 2023 17:06:26 UTC 2023 年 4 月 11 日 (火) 2 時 6 分 26 秒 (日本時間)

65×10²⁴⁹+169

c230

composite cofactor 合成数の残り

73733452442255159969383912394554597195603102818122163260627487037059457608386192213863732552134006164865307067889400288932822941075678399653270101349145118905815329404553954897613256513395565065734295707834678599505660168360757603<230>

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	February 23, 2023 08:52:41 UTC 2023 年 2 月 23 日 (木) 17 時 52 分 41 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	March 23, 2023 23:03:01 UTC 2023 年 3 月 24 日 (金) 8 時 3 分 1 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	April 10, 2023 17:06:33 UTC 2023 年 4 月 11 日 (火) 2 時 6 分 33 秒 (日本時間)

65×10²⁵¹+169

c246

composite cofactor 合成数の残り

109673011098503776666064646199590572089521253347220298726335263848293002011504260172188652157163517127752252649902421391110020455197663836630542738998750875021900856677824292632700293964164394241876705668414145807197411150012971786297312262077057<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	February 23, 2023 08:52:46 UTC 2023 年 2 月 23 日 (木) 17 時 52 分 46 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	March 23, 2023 23:03:09 UTC 2023 年 3 月 24 日 (金) 8 時 3 分 9 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	April 10, 2023 17:06:41 UTC 2023 年 4 月 11 日 (火) 2 時 6 分 41 秒 (日本時間)

65×10²⁵²+169

c227

name 名前	Dmitry Domanov
date 日付	February 21, 2023 12:16:45 UTC 2023 年 2 月 21 日 (火) 21 時 16 分 45 秒 (日本時間)
composite number 合成数	22281723049866733949653089859104016683644556390251813664530070800903838624643695838629144568238611229760692055958155435272809055236390770771948953242667990647565157301832089659538576666618129144095119432047479825083429306563697<227>
prime factors 素因数	252630412130085356686940478377461121575303<42>
composite cofactor 合成数の残り	88198894432366873185580034221761439053520832752436995353794499417674370354263922675234359185995140227068817404408212304102813829922213744136711519260301792548406191503052143425676412999<185>
factorization results 素因数分解の結果	Resuming ECM residue saved by @99cb416b88e1 with GMP-ECM 7.0.5-dev on Tue Feb 21 02:20:49 2023 Input number is 22281723049866733949653089859104016683644556390251813664530070800903838624643695838629144568238611229760692055958155435272809055236390770771948953242667990647565157301832089659538576666618129144095119432047479825083429306563697 (227 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4109494225 Step 1 took 0ms Step 2 took 5640ms ********** Factor found in step 2: 252630412130085356686940478377461121575303 Found prime factor of 42 digits: 252630412130085356686940478377461121575303 Composite cofactor 88198894432366873185580034221761439053520832752436995353794499417674370354263922675234359185995140227068817404408212304102813829922213744136711519260301792548406191503052143425676412999 has 185 digits

c185

name 名前	Dmitry Domanov
date 日付	March 16, 2023 18:55:15 UTC 2023 年 3 月 17 日 (金) 3 時 55 分 15 秒 (日本時間)
composite number 合成数	88198894432366873185580034221761439053520832752436995353794499417674370354263922675234359185995140227068817404408212304102813829922213744136711519260301792548406191503052143425676412999<185>
prime factors 素因数	4701534713229384589555990473584879426437<40>
composite cofactor 合成数の残り	18759596559861390696587261004080932111052436583196996666866189529307429964068778069208137466024826624844077284206160859710160812464515466100801627<146>
factorization results 素因数分解の結果	Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1282233071 Step 1 took 40484ms Step 2 took 14652ms ********** Factor found in step 2: 4701534713229384589555990473584879426437 Found probable prime factor of 40 digits: 4701534713229384589555990473584879426437 Composite cofactor 18759596559861390696587261004080932111052436583196996666866189529307429964068778069208137466024826624844077284206160859710160812464515466100801627 has 146 digits

c146

name 名前	Bob Backstrom
date 日付	May 27, 2024 15:37:19 UTC 2024 年 5 月 28 日 (火) 0 時 37 分 19 秒 (日本時間)
composite number 合成数	18759596559861390696587261004080932111052436583196996666866189529307429964068778069208137466024826624844077284206160859710160812464515466100801627<146>
prime factors 素因数	1298218832951062847190082852349626057098365221959892956523222486488996991<73> 14450257601962045455087882352837281211212273175484400223460443953077378597<74>
factorization results 素因数分解の結果	CADO: STA:Sun May 26 10:02:27 AM AEST 2024 (18759596559861390696587261004080932111052436583196996666866189529307429964068778069208137466024826624844077284206160859710160812464515466100801627 - C146) /home/bob/Downloads/Math/cado-nfs/cado-nfs.py -t 18 --no-colors --screenlog DEBUG 18759596559861390696587261004080932111052436583196996666866189529307429964068778069208137466024826624844077284206160859710160812464515466100801627 2>&1 \| tee -a log-26 /home/bob/Downloads/Math/cado-nfs/cado-nfs.py:93: DeprecationWarning: 'locale.getdefaultlocale' is deprecated and slated for removal in Python 3.15. Use setlocale(), getencoding() and getlocale() instead. loc = locale.getdefaultlocale()[1] Debug:root: Looking for parameter file for c146 in directory /home/bob/Downloads/Math/cado-nfs/parameters/factor Info:root: Using default parameter file /home/bob/Downloads/Math/cado-nfs/parameters/factor/params.c145 Debug:Parameters: Reading parameter file /home/bob/Downloads/Math/cado-nfs/parameters/factor/params.c145 Info:root: No database exists yet Info:root: Created temporary directory /tmp/cado.y_ag70k9 Info:Database: Opened connection to database /tmp/cado.y_ag70k9/c145.db Info:root: Set tasks.threads=18 based on --server-threads 18 Info:root: tasks.threads = 18 [via tasks.threads] Info:root: tasks.polyselect.threads = 2 [via tasks.polyselect.threads] Info:root: tasks.sieve.las.threads = 2 [via tasks.sieve.las.threads] Info:root: tasks.linalg.bwc.threads = 18 [via tasks.threads] Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads] Info:root: slaves.scriptpath is /home/bob/Downloads/Math/cado-nfs/build/VM9 Info:root: Command line parameters: /home/bob/Downloads/Math/cado-nfs/cado-nfs.py -t 18 --no-colors --screenlog DEBUG 18759596559861390696587261004080932111052436583196996666866189529307429964068778069208137466024826624844077284206160859710160812464515466100801627 Debug:root: Root parameter dictionary: N = 18759596559861390696587261004080932111052436583196996666866189529307429964068778069208137466024826624844077284206160859710160812464515466100801627 name = c145 === Info:Polynomial Selection (root optimized): Best polynomial is: n: 18759596559861390696587261004080932111052436583196996666866189529307429964068778069208137466024826624844077284206160859710160812464515466100801627 skew: 869212.281 c0: 25113308754714849171121078380549244 c1: -165684573056464239136637951376 c2: -30081166696637603927959 c3: 198544594731930317 c4: 289756963556 c5: 23520 Y0: -12382521693330100226984500275 Y1: 7941301416090890202557 # MurphyE (Bf=1.074e+09,Bg=1.074e+09,area=2.684e+14) = 4.535e-07 # f(x) = 23520x^5+289756963556x^4+198544594731930317x^3-30081166696637603927959x^2-165684573056464239136637951376x+25113308754714849171121078380549244 # g(x) = 7941301416090890202557x-12382521693330100226984500275 === Debug:Command: Process with PID 1326613 finished successfully Info:Square Root: finished Info:Square Root: Factors: 14450257601962045455087882352837281211212273175484400223460443953077378597 1298218832951062847190082852349626057098365221959892956523222486488996991 Debug:Square Root: Exit SqrtTask.run(sqrt) Info:Complete Factorization / Discrete logarithm: Square Root Info:Square Root: Total cpu/real time for sqrt: 2662.5/324.082 Info:HTTP server: Got notification to stop serving Workunits Info:Quadratic Characters: Total cpu/real time for characters: 68.49/18.4083 Info:Generate Free Relations: Total cpu/real time for freerel: 439.71/54.4695 Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 3077.3 Info:Polynomial Selection (root optimized): Rootsieve time: 3076.7 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 396.98/350.351 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 350.2s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1152.96/757.01 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 653.4s Info:Filtering - Merging: Total cpu/real time for merge: 244.82/38.5773 Info:Filtering - Merging: Total cpu/real time for replay: 43.46/38.5 Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 133692 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 92270/45.260/54.485/66.350/2.539 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 78866/42.650/47.237/58.400/1.387 Info:Polynomial Selection (size optimized): Total time: 54527.1 Info:Filtering - Singleton removal: Total cpu/real time for purge: 430.45/394.823 Info:Square Root: Total cpu/real time for sqrt: 2662.5/324.082 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 85074975 Info:Lattice Sieving: Average J: 8000.52 for 457704 special-q, max bucket fill -bkmult 1.0,1s:1.166700 Info:Lattice Sieving: Total time: 910402s Info:Generate Factor Base: Total cpu/real time for makefb: 6.18/1.11105 Info:Linear Algebra: Total cpu/real time for bwc: 61745.4/8119.99 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 37477.21, WCT time 4862.39, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (76000 iterations) Info:Linear Algebra: Lingen CPU time 102.56, WCT time 103.62 Info:Linear Algebra: Mksol: CPU time 19984.57, WCT time 2628.11, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (40000 iterations) Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 985847/118957 [1d 09:02:37] Info:root: Cleaning up computation data in /tmp/cado.y_ag70k9 14450257601962045455087882352837281211212273175484400223460443953077378597 1298218832951062847190082852349626057098365221959892956523222486488996991 END:Mon May 27 07:05:06 PM AEST 2024 (18759596559861390696587261004080932111052436583196996666866189529307429964068778069208137466024826624844077284206160859710160812464515466100801627 - C146)

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	February 23, 2023 08:52:51 UTC 2023 年 2 月 23 日 (木) 17 時 52 分 51 秒 (日本時間)
45	11e6	5480	1000	Dmitry Domanov	March 12, 2023 07:51:50 UTC 2023 年 3 月 12 日 (日) 16 時 51 分 50 秒 (日本時間)
45	11e6	5480	4480	Ignacio Santos	March 18, 2023 10:38:04 UTC 2023 年 3 月 18 日 (土) 19 時 38 分 4 秒 (日本時間)
50	43e6	6454		Ignacio Santos	March 30, 2023 10:59:46 UTC 2023 年 3 月 30 日 (木) 19 時 59 分 46 秒 (日本時間)

65×10²⁵⁴+169

c227

composite cofactor 合成数の残り

40595936748788536006887868471661931314249312626318990729168060122630510568593801260896069071055453897971920739089577734006878825741663533348240921015721082450960143239650295613443523841007786434169094163923596927362062497288629<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	1792	Dmitry Domanov	February 23, 2023 08:52:56 UTC 2023 年 2 月 23 日 (木) 17 時 52 分 56 秒 (日本時間)
45	11e6	1792 / 4038	Dmitry Domanov	March 28, 2023 14:09:48 UTC 2023 年 3 月 28 日 (火) 23 時 9 分 48 秒 (日本時間)

65×10²⁵⁵+169

c218

composite cofactor 合成数の残り

47011985550554365229481641139887596203959387827968809423918995930099801560797733892907976961996563258296458861619323742635709169268400134963783319070637898876796140015051153369102709570657293783970483324425820496134487<218>

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	February 23, 2023 08:53:01 UTC 2023 年 2 月 23 日 (木) 17 時 53 分 1 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	March 28, 2023 14:09:57 UTC 2023 年 3 月 28 日 (火) 23 時 9 分 57 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	April 13, 2023 09:33:21 UTC 2023 年 4 月 13 日 (木) 18 時 33 分 21 秒 (日本時間)

65×10²⁵⁶+169

c255

composite cofactor 合成数の残り

121996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996997<255>

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	February 23, 2023 08:53:05 UTC 2023 年 2 月 23 日 (木) 17 時 53 分 5 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	March 14, 2023 13:14:01 UTC 2023 年 3 月 14 日 (火) 22 時 14 分 1 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	April 8, 2023 06:31:43 UTC 2023 年 4 月 8 日 (土) 15 時 31 分 43 秒 (日本時間)

65×10²⁶⁰+169

c238

name 名前	Dmitry Domanov
date 日付	February 22, 2023 07:00:10 UTC 2023 年 2 月 22 日 (水) 16 時 0 分 10 秒 (日本時間)
composite number 合成数	1019037825613015471137562054260198539847971546324321485201147314063666249679192198594693730031773105545375039891702470208553119124977867492965111023265782343781442581610594346803930357752038760555797100749984989985000145358346661026655711<238>
prime factors 素因数	3924920081197599992747619310773344651<37> 153497558419394297706928380069260672107661<42> 1691445523134329534237658509077731062446492853109669970105733143658651905610898183709201923681586118280696847727343290453015816801718332512315314076175939060401<160>
factorization results 素因数分解の結果	Resuming ECM residue saved by @99cb416b88e1 with GMP-ECM 7.0.5-dev on Tue Feb 21 02:35:37 2023 Input number is 1019037825613015471137562054260198539847971546324321485201147314063666249679192198594693730031773105545375039891702470208553119124977867492965111023265782343781442581610594346803930357752038760555797100749984989985000145358346661026655711 (238 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:575707943 Step 1 took 0ms Step 2 took 6142ms ******** Factor found in step 2: 153497558419394297706928380069260672107661 Found prime factor of 42 digits: 153497558419394297706928380069260672107661 Composite cofactor 6638788500001709672505099575806779315879406502857042053184901829109958821102476148628982775240277485676686060348652364957663434135772763043430276601057968179342551430511107881926712950573079265051 has 196 digits --- Resuming ECM residue saved by @99cb416b88e1 with GMP-ECM 7.0.5-dev on Tue Feb 21 02:35:37 2023 Input number is 6638788500001709672505099575806779315879406502857042053184901829109958821102476148628982775240277485676686060348652364957663434135772763043430276601057968179342551430511107881926712950573079265051 (196 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:575707989 Step 1 took 0ms Step 2 took 5015ms ******** Factor found in step 2: 3924920081197599992747619310773344651 Found prime factor of 37 digits: 3924920081197599992747619310773344651 Prime cofactor 1691445523134329534237658509077731062446492853109669970105733143658651905610898183709201923681586118280696847727343290453015816801718332512315314076175939060401 has 160 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)

65×10²⁶¹+169

c193

name 名前	Dmitry Domanov
date 日付	May 10, 2023 23:42:11 UTC 2023 年 5 月 11 日 (木) 8 時 42 分 11 秒 (日本時間)
composite number 合成数	2794231772871500782764553571671605307053331101413628168986137706227957557445306618349225005551174826758137064727403375989748467823831894704544541927782658428039617545848464520715240948462677129<193>
prime factors 素因数	117315796739605771985360072542478737792023589871<48> 23818035171116637122390367430214228859910940734896609155291496248766435171779530960901258651283312581190422778843703396588538144093402716852276999<146>
factorization results 素因数分解の結果	Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1945866524 Step 1 took 165664ms Step 2 took 43100ms ********** Factor found in step 2: 117315796739605771985360072542478737792023589871 Found probable prime factor of 48 digits: 117315796739605771985360072542478737792023589871 Probable prime cofactor 23818035171116637122390367430214228859910940734896609155291496248766435171779530960901258651283312581190422778843703396588538144093402716852276999 has 146 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	February 23, 2023 08:53:11 UTC 2023 年 2 月 23 日 (木) 17 時 53 分 11 秒 (日本時間)
45	11e6	3000	1000	Dmitry Domanov	March 12, 2023 07:50:11 UTC 2023 年 3 月 12 日 (日) 16 時 50 分 11 秒 (日本時間)
			1000	Dmitry Domanov	April 7, 2023 21:35:00 UTC 2023 年 4 月 8 日 (土) 6 時 35 分 0 秒 (日本時間)
			1000	Dmitry Domanov	April 24, 2023 11:18:10 UTC 2023 年 4 月 24 日 (月) 20 時 18 分 10 秒 (日本時間)
50	43e6	1000 / 6806		Dmitry Domanov	May 9, 2023 16:56:11 UTC 2023 年 5 月 10 日 (水) 1 時 56 分 11 秒 (日本時間)

65×10²⁶²+169

c239

composite cofactor 合成数の残り

58368443239557210075846215700269351875524329820800809801455283009406872416622922898397319990253837569074524984019515016655562987574498414032729776318099701737642857552583732729942213447142466644006498835941993145080130611326235236839266733<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	February 23, 2023 08:53:17 UTC 2023 年 2 月 23 日 (木) 17 時 53 分 17 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	March 23, 2023 23:03:16 UTC 2023 年 3 月 24 日 (金) 8 時 3 分 16 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	April 10, 2023 17:06:48 UTC 2023 年 4 月 11 日 (火) 2 時 6 分 48 秒 (日本時間)

65×10²⁶³+169

c232

composite cofactor 合成数の残り

1943215293641286264959519683887636530621917387844153845526294210348796233041658633959649105959492513995355041902386306740947005378097365114794616274696928079148777894541002725770579250231094292919956652516982565311220338375686167953<232>

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	February 23, 2023 08:53:22 UTC 2023 年 2 月 23 日 (木) 17 時 53 分 22 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	March 23, 2023 23:03:23 UTC 2023 年 3 月 24 日 (金) 8 時 3 分 23 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	April 10, 2023 17:06:55 UTC 2023 年 4 月 11 日 (火) 2 時 6 分 55 秒 (日本時間)

65×10²⁶⁴+169

c260

composite cofactor 合成数の残り

58026595820656753938666780934424590421505192041250660610475496707660224821813714987644798674494008084443873105654825670251817571524474725400294239476653668709202839553784405307737355558412249503649426518689920155404150776306580394509434231763580008855751239091<260>

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	February 23, 2023 08:53:26 UTC 2023 年 2 月 23 日 (木) 17 時 53 分 26 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	March 14, 2023 13:14:25 UTC 2023 年 3 月 14 日 (火) 22 時 14 分 25 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	April 8, 2023 06:31:56 UTC 2023 年 4 月 8 日 (土) 15 時 31 分 56 秒 (日本時間)

65×10²⁶⁶+169

c213

composite cofactor 合成数の残り

895494767909979912718582919312506300236629146434196412541895961035682537365389588841289108062027778873890477261719703675978211372573867113580217280379784406967219086302956490801893379040467215192471246151145485047<213>

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	February 23, 2023 08:53:58 UTC 2023 年 2 月 23 日 (木) 17 時 53 分 58 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	March 28, 2023 14:10:55 UTC 2023 年 3 月 28 日 (火) 23 時 10 分 55 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	April 13, 2023 09:33:29 UTC 2023 年 4 月 13 日 (木) 18 時 33 分 29 秒 (日本時間)

65×10²⁶⁷+169

c256

composite cofactor 合成数の残り

6882242131143561303435973865566139203387816761426453771205891166160377771860331293768819233679992169163621100629494309944675597291060760050638602734124133236744741707065074038648664030193908245640860490705011290180410359804226472751311250397337903928884639<256>

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	February 23, 2023 08:54:05 UTC 2023 年 2 月 23 日 (木) 17 時 54 分 5 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	March 14, 2023 13:14:34 UTC 2023 年 3 月 14 日 (火) 22 時 14 分 34 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	April 8, 2023 06:32:04 UTC 2023 年 4 月 8 日 (土) 15 時 32 分 4 秒 (日本時間)

65×10²⁶⁸+169

c263

composite cofactor 合成数の残り

51194711287031891312210237934115399495172890053292906838857321442298362147292067560636591270246326897606796893410405789759545529583297103229960972302558538395718420896767518672680233737724295844312629877044480485521190514895928240451950061685689046159041962650859<263>

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	February 23, 2023 08:54:10 UTC 2023 年 2 月 23 日 (木) 17 時 54 分 10 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	March 14, 2023 13:14:43 UTC 2023 年 3 月 14 日 (火) 22 時 14 分 43 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	April 8, 2023 06:32:12 UTC 2023 年 4 月 8 日 (土) 15 時 32 分 12 秒 (日本時間)

65×10²⁷²+169

c264

name 名前	Dmitry Domanov
date 日付	March 15, 2023 23:56:50 UTC 2023 年 3 月 16 日 (木) 8 時 56 分 50 秒 (日本時間)
composite number 合成数	625910803253281136516834466920581693290262227014241553034813614925188144126829801315974343915404296248363982787180206012489777759572825036262036463112138242679701992134113840792477616154743503424490119925172405840416921889981680619208373191140696562813558683347007<264>
prime factors 素因数	181220373450823844127715302857868644708683<42> 717638987652699711968912004030766730651161<42> 2748643079924205642681100948623521752388617<43>
composite cofactor 合成数の残り	1750979464302855246648307062762032786569614986936064616199111502472406976733313655904287262396512746940975834149963853864960446220117541117<139>
factorization results 素因数分解の結果	Resuming ECM residue saved by @4829788de5ab with GMP-ECM 7.0.5-dev on Wed Mar 15 02:02:46 2023 Input number is 625910803253281136516834466920581693290262227014241553034813614925188144126829801315974343915404296248363982787180206012489777759572825036262036463112138242679701992134113840792477616154743503424490119925172405840416921889981680619208373191140696562813558683347007 (264 digits) Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1752265339 Step 1 took 0ms Step 2 took 32382ms ******** Factor found in step 2: 181220373450823844127715302857868644708683 Found prime factor of 42 digits: 181220373450823844127715302857868644708683 Composite cofactor 3453865541354978869086261294561142098800359986022616062398234314485300107474144062560539100783392384669582950015189918142301525229041707814486988145370108186832184946684079920466055551188283707747990140369626437563710734429 has 223 digits --- Resuming ECM residue saved by @4829788de5ab with GMP-ECM 7.0.5-dev on Wed Mar 15 02:02:46 2023 Input number is 3453865541354978869086261294561142098800359986022616062398234314485300107474144062560539100783392384669582950015189918142301525229041707814486988145370108186832184946684079920466055551188283707747990140369626437563710734429 (223 digits) Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1752266322 Step 1 took 0ms Step 2 took 26794ms ****** Factor found in step 2: 2748643079924205642681100948623521752388617 Found prime factor of 43 digits: 2748643079924205642681100948623521752388617 Composite cofactor 1256571130162967492426279683522072223024488969717066384258833054196211323352588081062054087139867170741988829980491500968941611376459127914947943822512136622320254544948595601286837 has 181 digits --- Resuming ECM residue saved by @4829788de5ab with GMP-ECM 7.0.5-dev on Wed Mar 15 02:02:46 2023 Input number is 1256571130162967492426279683522072223024488969717066384258833054196211323352588081062054087139867170741988829980491500968941611376459127914947943822512136622320254544948595601286837 (181 digits) Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1752266691 Step 1 took 0ms Step 2 took 21761ms ******** Factor found in step 2: 717638987652699711968912004030766730651161 Found prime factor of 42 digits: 717638987652699711968912004030766730651161 Composite cofactor 1750979464302855246648307062762032786569614986936064616199111502472406976733313655904287262396512746940975834149963853864960446220117541117 has 139 digits

c139

name 名前	anonymous
date 日付	October 18, 2023 02:25:58 UTC 2023 年 10 月 18 日 (水) 11 時 25 分 58 秒 (日本時間)
composite number 合成数	1750979464302855246648307062762032786569614986936064616199111502472406976733313655904287262396512746940975834149963853864960446220117541117<139>
prime factors 素因数	169122549291047104163997606410098123902919141525334863681339<60> 10353317589185296301475124714480448181056537975259209553491071185574025212228903<80>
factorization results 素因数分解の結果	n: 1750979464302855246648307062762032786569614986936064616199111502472406976733313655904287262396512746940975834149963853864960446220117541117 p60 factor: 169122549291047104163997606410098123902919141525334863681339 p80 factor: 10353317589185296301475124714480448181056537975259209553491071185574025212228903
software ソフトウェア	GGNFS

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	February 23, 2023 08:54:16 UTC 2023 年 2 月 23 日 (木) 17 時 54 分 16 秒 (日本時間)
45	11e6	6272	1792	Dmitry Domanov	March 14, 2023 13:14:51 UTC 2023 年 3 月 14 日 (火) 22 時 14 分 51 秒 (日本時間)
45	11e6	6272	4480	Ignacio Santos	March 18, 2023 08:13:25 UTC 2023 年 3 月 18 日 (土) 17 時 13 分 25 秒 (日本時間)
50	43e6	6454		Ignacio Santos	April 13, 2023 10:18:22 UTC 2023 年 4 月 13 日 (木) 19 時 18 分 22 秒 (日本時間)

65×10²⁷³+169

c220

composite cofactor 合成数の残り

3285198221394628969974756022048036358653977000550935745382430864941894782290282840204488384067461487403517627362604945106126074228070593695831007452528359455742769534803376672698858804680127871201351563853395114534664783<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	1792		Dmitry Domanov	February 23, 2023 08:54:23 UTC 2023 年 2 月 23 日 (木) 17 時 54 分 23 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	March 28, 2023 14:11:05 UTC 2023 年 3 月 28 日 (火) 23 時 11 分 5 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	April 13, 2023 09:33:36 UTC 2023 年 4 月 13 日 (木) 18 時 33 分 36 秒 (日本時間)

65×10²⁷⁴+169

c252

composite cofactor 合成数の残り

105925184374323398860769528389532154895352508963802350322288314644187607931813845708473961602800465243256499612354854046456291635982958422858559282831768675022659003994311315245690810732674663777933673247682535172526493080891006938934376155560967584533<252>

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	February 23, 2023 08:54:28 UTC 2023 年 2 月 23 日 (木) 17 時 54 分 28 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	March 14, 2023 13:14:59 UTC 2023 年 3 月 14 日 (火) 22 時 14 分 59 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	April 8, 2023 06:32:20 UTC 2023 年 4 月 8 日 (土) 15 時 32 分 20 秒 (日本時間)

65×10²⁷⁵+169

c199

name 名前	Dmitry Domanov
date 日付	May 12, 2023 08:52:42 UTC 2023 年 5 月 12 日 (金) 17 時 52 分 42 秒 (日本時間)
composite number 合成数	1533971889450371519759633883326341763404967016128583206629756612856140044457051995608614202817076544977261242716954397966613333075287085738200292925182095640373059486305243383585185002210023462482091<199>
prime factors 素因数	16546334463982571368312629911577748714762003<44> 92707656356727401842327134499291105581863149448269436016905886149244897398139023782018434564727608688430705908843415358200386086162534516311042494103122697<155>
factorization results 素因数分解の結果	Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:1682460261 Step 1 took 133176ms Step 2 took 45093ms ********** Factor found in step 2: 16546334463982571368312629911577748714762003 Found prime factor of 44 digits: 16546334463982571368312629911577748714762003 Prime cofactor 92707656356727401842327134499291105581863149448269436016905886149244897398139023782018434564727608688430705908843415358200386086162534516311042494103122697 has 155 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	February 23, 2023 08:54:33 UTC 2023 年 2 月 23 日 (木) 17 時 54 分 33 秒 (日本時間)
45	11e6	3000	1000	Dmitry Domanov	March 12, 2023 07:50:02 UTC 2023 年 3 月 12 日 (日) 16 時 50 分 2 秒 (日本時間)
			1000	Dmitry Domanov	April 7, 2023 21:35:07 UTC 2023 年 4 月 8 日 (土) 6 時 35 分 7 秒 (日本時間)
			1000	Dmitry Domanov	April 24, 2023 11:18:18 UTC 2023 年 4 月 24 日 (月) 20 時 18 分 18 秒 (日本時間)
50	43e6	1000 / 6806		Dmitry Domanov	May 9, 2023 18:52:37 UTC 2023 年 5 月 10 日 (水) 3 時 52 分 37 秒 (日本時間)

65×10²⁷⁸+169

c257

composite cofactor 合成数の残り

18341156430091643349485130772751996637052926601876543662966501779186319706796671779209899880161071071034086536666829052604953351093521599926269349069681998151807988701364119951446321490150460554710184305154205945317141537990287136311979536225413975229126509<257>

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	February 23, 2023 08:54:38 UTC 2023 年 2 月 23 日 (木) 17 時 54 分 38 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	March 14, 2023 13:15:07 UTC 2023 年 3 月 14 日 (火) 22 時 15 分 7 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	April 8, 2023 06:32:27 UTC 2023 年 4 月 8 日 (土) 15 時 32 分 27 秒 (日本時間)

65×10²⁷⁹+169

c262

composite cofactor 合成数の残り

8069601747040628164289309320678762075768355179845810404690621927547234340783067066844418552102095460541907935237930990297030110333351828466170956475546307894840368389025373098120189762473820906468743692557025859357764484372809775376719265990949127039282896659387<262>

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	February 23, 2023 08:54:43 UTC 2023 年 2 月 23 日 (木) 17 時 54 分 43 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	March 14, 2023 13:15:34 UTC 2023 年 3 月 14 日 (火) 22 時 15 分 34 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	April 8, 2023 06:32:35 UTC 2023 年 4 月 8 日 (土) 15 時 32 分 35 秒 (日本時間)

65×10²⁸⁰+169

c231

composite cofactor 合成数の残り

453771676409864452065318414937427619060168576180832693525237377658143982745689999975407141907924747768661443966839361799828613464785908992176427128105386729715503612985355727421997263006908877323320680507501265786099585050586972891<231>

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	February 23, 2023 08:54:48 UTC 2023 年 2 月 23 日 (木) 17 時 54 分 48 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	March 23, 2023 23:03:32 UTC 2023 年 3 月 24 日 (金) 8 時 3 分 32 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	April 10, 2023 17:07:02 UTC 2023 年 4 月 11 日 (火) 2 時 7 分 2 秒 (日本時間)

65×10²⁸¹+169

c233

composite cofactor 合成数の残り

74757803079526257059093039421973122874380315020412353654548690929436795679894537777099082941388259645121313288121084342695063612479163411881643323064450344976946256052438691910781725763963129739104192916515858617387984033553036247223<233>

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	February 23, 2023 08:54:52 UTC 2023 年 2 月 23 日 (木) 17 時 54 分 52 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	March 23, 2023 23:03:39 UTC 2023 年 3 月 24 日 (金) 8 時 3 分 39 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	April 10, 2023 17:07:10 UTC 2023 年 4 月 11 日 (火) 2 時 7 分 10 秒 (日本時間)

65×10²⁸²+169

c251

name 名前	Dmitry Domanov
date 日付	April 8, 2023 16:53:02 UTC 2023 年 4 月 9 日 (日) 1 時 53 分 2 秒 (日本時間)
composite number 合成数	37660417438075702582244283236415935743346590831307815171545959049518086938561081267728612333595178226549003834954184347008328749358958745292424966124409616644629936218439844028073375235091820796503613287023214340379122026438836792291424699768334407309<251>
prime factors 素因数	43360204993171634642858133682917746494253<41> 868547956450078253990827764437387718908789444855880107337988177930416992784272208787044544347515009904948238508209254006087494937492170662605101378171078441000714025397147838436258851076160309794182462955312353<210>
factorization results 素因数分解の結果	Resuming ECM residue saved by @3e2b7a653437 with GMP-ECM 7.0.5-dev on Sat Apr 8 08:50:58 2023 Input number is 37660417438075702582244283236415935743346590831307815171545959049518086938561081267728612333595178226549003834954184347008328749358958745292424966124409616644629936218439844028073375235091820796503613287023214340379122026438836792291424699768334407309 (251 digits) Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3533561240 Step 1 took 0ms Step 2 took 16678ms ********** Factor found in step 2: 43360204993171634642858133682917746494253 Found prime factor of 41 digits: 43360204993171634642858133682917746494253 Prime cofactor 868547956450078253990827764437387718908789444855880107337988177930416992784272208787044544347515009904948238508209254006087494937492170662605101378171078441000714025397147838436258851076160309794182462955312353 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	1792		Dmitry Domanov	February 23, 2023 08:54:58 UTC 2023 年 2 月 23 日 (木) 17 時 54 分 58 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	March 14, 2023 13:15:23 UTC 2023 年 3 月 14 日 (火) 22 時 15 分 23 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	April 8, 2023 06:32:43 UTC 2023 年 4 月 8 日 (土) 15 時 32 分 43 秒 (日本時間)

65×10²⁸³+169

c282

composite cofactor 合成数の残り

121996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996997<282>

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	February 23, 2023 08:55:03 UTC 2023 年 2 月 23 日 (木) 17 時 55 分 3 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	March 14, 2023 13:17:45 UTC 2023 年 3 月 14 日 (火) 22 時 17 分 45 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	April 8, 2023 06:32:51 UTC 2023 年 4 月 8 日 (土) 15 時 32 分 51 秒 (日本時間)

65×10²⁸⁴+169

c242

name 名前	Dmitry Domanov
date 日付	February 22, 2023 07:00:38 UTC 2023 年 2 月 22 日 (水) 16 時 0 分 38 秒 (日本時間)
composite number 合成数	39509308034683072538237233429050690652166936473853921883187997509413714641867267951892346344151147330382605636354109676870331773425183643818411602806575844168352117354527187842491268802206596126117892549356420807668464829944720335142328828727<242>
prime factors 素因数	37366659569411950796394655613156021<35> 1057341183021483586654255204920939477567993997140163928003494877702667910182796318708735555933432912121210220172520733435728567247721082213334986230775060626117041623624780085657374369377886221444377697516987<208>
factorization results 素因数分解の結果	Resuming ECM residue saved by @99cb416b88e1 with GMP-ECM 7.0.5-dev on Tue Feb 21 03:49:53 2023 Input number is 39509308034683072538237233429050690652166936473853921883187997509413714641867267951892346344151147330382605636354109676870331773425183643818411602806575844168352117354527187842491268802206596126117892549356420807668464829944720335142328828727 (242 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2321611965 Step 1 took 0ms Step 2 took 6306ms ********** Factor found in step 2: 37366659569411950796394655613156021 Found prime factor of 35 digits: 37366659569411950796394655613156021 Prime cofactor 1057341183021483586654255204920939477567993997140163928003494877702667910182796318708735555933432912121210220172520733435728567247721082213334986230775060626117041623624780085657374369377886221444377697516987 has 208 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)

65×10²⁸⁵+169

c241

composite cofactor 合成数の残り

1147426361374614468036610474589676781496018225310668096887064415763178223151664266471573207322463249508723807955778585815047917096652568214331518340408774787164528595398560220849635354460181504049017769952066942121100093315181230594494601781<241>

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	February 23, 2023 08:55:08 UTC 2023 年 2 月 23 日 (木) 17 時 55 分 8 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	March 23, 2023 23:03:47 UTC 2023 年 3 月 24 日 (金) 8 時 3 分 47 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	April 10, 2023 17:07:17 UTC 2023 年 4 月 11 日 (火) 2 時 7 分 17 秒 (日本時間)

65×10²⁸⁷+169

c258

composite cofactor 合成数の残り

906801522173736488946555439877363825104523420131684726655613055762435949062220961360916250727044337268889757013322445183960367056497194323516583487003616825556223097374550709889227651419602797946857887407451828765905475012122851560480812966432353379903171243<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	1792		Dmitry Domanov	February 23, 2023 08:55:13 UTC 2023 年 2 月 23 日 (木) 17 時 55 分 13 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	March 14, 2023 13:15:31 UTC 2023 年 3 月 14 日 (火) 22 時 15 分 31 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	April 8, 2023 06:32:58 UTC 2023 年 4 月 8 日 (土) 15 時 32 分 58 秒 (日本時間)

65×10²⁸⁸+169

c248

name 名前	Dmitry Domanov
date 日付	February 22, 2023 07:01:23 UTC 2023 年 2 月 22 日 (水) 16 時 1 分 23 秒 (日本時間)
composite number 合成数	13263799815576319939397355902948211327622107585073550590744112049371101522707094176012542705464113282596988825143513529010119664643288176954262652084651125387047167724007138071007917877573155859846669519662981280013999936047564472356829620293092671<248>
prime factors 素因数	21089085284123976226042303776193029089<38> 5356612565268343361820706648218738142301<40>
composite cofactor 合成数の残り	117414026007567188424267416893844955817260220697865531445382204092354346886270174635894692740811057661983031451208561072128908104003761723187714548582252431523378874804139<171>
factorization results 素因数分解の結果	Resuming ECM residue saved by @99cb416b88e1 with GMP-ECM 7.0.5-dev on Tue Feb 21 04:03:18 2023 Input number is 13263799815576319939397355902948211327622107585073550590744112049371101522707094176012542705464113282596988825143513529010119664643288176954262652084651125387047167724007138071007917877573155859846669519662981280013999936047564472356829620293092671 (248 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2500126279 Step 1 took 0ms Step 2 took 3591ms ******** Factor found in step 2: 21089085284123976226042303776193029089 Found prime factor of 38 digits: 21089085284123976226042303776193029089 Composite cofactor 628941447050878461058927858767289589880129937860691635573099213531877128513328363229550455797442194778374005650254721357412604855926825877413889746174084155672512796050523540376030396115359681741317020085783839 has 210 digits --- Resuming ECM residue saved by @99cb416b88e1 with GMP-ECM 7.0.5-dev on Tue Feb 21 04:03:18 2023 Input number is 628941447050878461058927858767289589880129937860691635573099213531877128513328363229550455797442194778374005650254721357412604855926825877413889746174084155672512796050523540376030396115359681741317020085783839 (210 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2500126678 Step 1 took 0ms Step 2 took 2920ms ******** Factor found in step 2: 5356612565268343361820706648218738142301 Found prime factor of 40 digits: 5356612565268343361820706648218738142301 Composite cofactor 117414026007567188424267416893844955817260220697865531445382204092354346886270174635894692740811057661983031451208561072128908104003761723187714548582252431523378874804139 has 171 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	February 23, 2023 08:55:19 UTC 2023 年 2 月 23 日 (木) 17 時 55 分 19 秒 (日本時間)
40	3e6	4142	2350	Ignacio Santos	March 1, 2023 11:11:18 UTC 2023 年 3 月 1 日 (水) 20 時 11 分 18 秒 (日本時間)
45	11e6	4480		Ignacio Santos	March 10, 2023 15:54:40 UTC 2023 年 3 月 11 日 (土) 0 時 54 分 40 秒 (日本時間)
50	43e6	1792 / 6385		Dmitry Domanov	June 2, 2024 19:15:53 UTC 2024 年 6 月 3 日 (月) 4 時 15 分 53 秒 (日本時間)

65×10²⁸⁹+169

c245

composite cofactor 合成数の残り

20555398578783915621232699471105385338776350220245544859315219609521212227161039953794368632497736269035047036761055810261259186415487964783858986466596100016501938965619060853694824707711492993395008330400938852066269998495486052614349455190259<245>

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	February 23, 2023 08:55:24 UTC 2023 年 2 月 23 日 (木) 17 時 55 分 24 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	March 23, 2023 23:03:56 UTC 2023 年 3 月 24 日 (金) 8 時 3 分 56 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	April 10, 2023 17:07:25 UTC 2023 年 4 月 11 日 (火) 2 時 7 分 25 秒 (日本時間)

65×10²⁹¹+169

c231

composite cofactor 合成数の残り

196832241173800468681265824451888910408478013222724538928824098978243488357729109784848310442381764453364914633481687728035506426087081141125740442760400598890173405595399438544074265185504596714771503037594669159257651533034756261<231>

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	February 23, 2023 08:55:48 UTC 2023 年 2 月 23 日 (木) 17 時 55 分 48 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	March 23, 2023 23:04:04 UTC 2023 年 3 月 24 日 (金) 8 時 4 分 4 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	April 10, 2023 17:07:32 UTC 2023 年 4 月 11 日 (火) 2 時 7 分 32 秒 (日本時間)

65×10²⁹²+169

c227

composite cofactor 合成数の残り

75417389810095683268252412175298922605550061680762618046227149465629019063137450046104050418582021219166037467412117726279960964915752891346245306383119982213815762391046014786265385484447924453195230034196550002180327171922241<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	1792		Dmitry Domanov	February 23, 2023 08:55:53 UTC 2023 年 2 月 23 日 (木) 17 時 55 分 53 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	March 28, 2023 14:11:15 UTC 2023 年 3 月 28 日 (火) 23 時 11 分 15 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	April 13, 2023 09:33:43 UTC 2023 年 4 月 13 日 (木) 18 時 33 分 43 秒 (日本時間)

65×10²⁹³+169

c220

composite cofactor 合成数の残り

9542879591248953132767584802114126671506648757793716802900965706791620129071021119225690701390246613630115762461914911207836905011371909451705303562992082392862490306146252730425630212358298593110589194838302019709539029<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	1792		Dmitry Domanov	February 23, 2023 08:55:58 UTC 2023 年 2 月 23 日 (木) 17 時 55 分 58 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	March 28, 2023 14:11:24 UTC 2023 年 3 月 28 日 (火) 23 時 11 分 24 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	April 13, 2023 09:33:51 UTC 2023 年 4 月 13 日 (木) 18 時 33 分 51 秒 (日本時間)
50	43e6	1792 / 6675		Dmitry Domanov	May 5, 2023 21:43:39 UTC 2023 年 5 月 6 日 (土) 6 時 43 分 39 秒 (日本時間)

65×10²⁹⁴+169

c191

composite cofactor 合成数の残り	57867466530771665393340087624495389746796436221713174526770056586120327171779428225546582334016256003377320976369428537159734331115796527102852762184126117220899038613810897960640729860066227<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	February 23, 2023 08:56:03 UTC 2023 年 2 月 23 日 (木) 17 時 56 分 3 秒 (日本時間)
45	11e6	3000	1000	Dmitry Domanov	March 12, 2023 07:49:53 UTC 2023 年 3 月 12 日 (日) 16 時 49 分 53 秒 (日本時間)
			1000	Dmitry Domanov	April 7, 2023 21:35:18 UTC 2023 年 4 月 8 日 (土) 6 時 35 分 18 秒 (日本時間)
			1000	Dmitry Domanov	April 24, 2023 11:18:26 UTC 2023 年 4 月 24 日 (月) 20 時 18 分 26 秒 (日本時間)
50	43e6	2792 / 6806	1000	Dmitry Domanov	May 9, 2023 18:52:12 UTC 2023 年 5 月 10 日 (水) 3 時 52 分 12 秒 (日本時間)
50	43e6	2792 / 6806	1792	Dmitry Domanov	May 15, 2024 16:45:05 UTC 2024 年 5 月 16 日 (木) 1 時 45 分 5 秒 (日本時間)

65×10²⁹⁵+169

c278

composite cofactor 合成数の残り

25238518466550859565968357617119978252800360608185432421591289226008392151385521928940525538743332379567746481713952838469705908186122479169589883936145464621403894403400866400272663021840612569477978300800044173783105024461123285552261608467336796592935900666912863684659131859<278>

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	February 23, 2023 08:56:09 UTC 2023 年 2 月 23 日 (木) 17 時 56 分 9 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	March 14, 2023 13:17:33 UTC 2023 年 3 月 14 日 (火) 22 時 17 分 33 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	April 8, 2023 06:33:06 UTC 2023 年 4 月 8 日 (土) 15 時 33 分 6 秒 (日本時間)

65×10²⁹⁶+169

c270

name 名前	Dmitry Domanov
date 日付	February 22, 2023 07:01:49 UTC 2023 年 2 月 22 日 (水) 16 時 1 分 49 秒 (日本時間)
composite number 合成数	228767114789131847335565105549011582844396584571218205639457187788820079036273811308425584863881743054199405076669280594328152925269703364438752890430710260955650456745152264002718537137428655870543445224486687304127218031121876972692529402721550316451770809321462364363<270>
prime factors 素因数	37577067245953298950081445345480107501<38>
composite cofactor 合成数の残り	6087944897130521550817127547928590100443771664965794216708224740549049045577911161160977106357021444386971764572531975825824855042771739652335174156181092835415311522473441033634885200240352896525546777483782678540630518929847091863<232>
factorization results 素因数分解の結果	Resuming ECM residue saved by @99cb416b88e1 with GMP-ECM 7.0.5-dev on Tue Feb 21 04:29:57 2023 Input number is 228767114789131847335565105549011582844396584571218205639457187788820079036273811308425584863881743054199405076669280594328152925269703364438752890430710260955650456745152264002718537137428655870543445224486687304127218031121876972692529402721550316451770809321462364363 (270 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1806788584 Step 1 took 0ms Step 2 took 6963ms ********** Factor found in step 2: 37577067245953298950081445345480107501 Found prime factor of 38 digits: 37577067245953298950081445345480107501 Composite cofactor 6087944897130521550817127547928590100443771664965794216708224740549049045577911161160977106357021444386971764572531975825824855042771739652335174156181092835415311522473441033634885200240352896525546777483782678540630518929847091863 has 232 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	February 23, 2023 08:56:14 UTC 2023 年 2 月 23 日 (木) 17 時 56 分 14 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	March 23, 2023 23:04:13 UTC 2023 年 3 月 24 日 (金) 8 時 4 分 13 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	April 10, 2023 17:07:40 UTC 2023 年 4 月 11 日 (火) 2 時 7 分 40 秒 (日本時間)

65×10²⁹⁷+169

c283

composite cofactor 合成数の残り

3381779902015869684876117670040836836802424291550700682483114339060303316088462759116725094828744612595844435698433132410979624432985080482332795737671026314067862382968881178747272930199390633882850221994746415563443111246777415802116397365132796050503385529639421128303587488757489<283>

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	February 23, 2023 08:56:19 UTC 2023 年 2 月 23 日 (木) 17 時 56 分 19 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	March 14, 2023 13:17:23 UTC 2023 年 3 月 14 日 (火) 22 時 17 分 23 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	April 8, 2023 06:33:14 UTC 2023 年 4 月 8 日 (土) 15 時 33 分 14 秒 (日本時間)

65×10²⁹⁸+169

c234

composite cofactor 合成数の残り

209192108916620090025563112602351202035865392477365062532662200329890759957750032429080726835743250319389697594592229563987729227037213442961110442446310177801412773847670789395134578638586592382840505301323327644329805773191782010023<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	February 23, 2023 08:56:24 UTC 2023 年 2 月 23 日 (木) 17 時 56 分 24 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	March 23, 2023 23:04:22 UTC 2023 年 3 月 24 日 (金) 8 時 4 分 22 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	April 10, 2023 17:07:50 UTC 2023 年 4 月 11 日 (火) 2 時 7 分 50 秒 (日本時間)

65×10²⁹⁹+169

c256

name 名前	Dmitry Domanov
date 日付	March 15, 2023 23:56:05 UTC 2023 年 3 月 16 日 (木) 8 時 56 分 5 秒 (日本時間)
composite number 合成数	3176537931848663873861618406221191200631120817689445567139358184725634695154400961138125374375903884925505593067719534487555995426619784582971442422560753832123831422238857550226098293289413036168852348156448945569975837025777104324729951557257508858999121<256>
prime factors 素因数	561857954047226441288448229118785462033<39> 5653631685672750961876893959198555509539499908257309860309160110456841841313217658796060500533427817001209962606754683534259120568394614051397331276349787123808806159786766292760299806605519801864145003081068364918337<217>
factorization results 素因数分解の結果	Resuming ECM residue saved by @4829788de5ab with GMP-ECM 7.0.5-dev on Wed Mar 15 03:41:00 2023 Input number is 3176537931848663873861618406221191200631120817689445567139358184725634695154400961138125374375903884925505593067719534487555995426619784582971442422560753832123831422238857550226098293289413036168852348156448945569975837025777104324729951557257508858999121 (256 digits) Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2443465269 Step 1 took 0ms Step 2 took 31880ms ********** Factor found in step 2: 561857954047226441288448229118785462033 Found prime factor of 39 digits: 561857954047226441288448229118785462033 Prime cofactor 5653631685672750961876893959198555509539499908257309860309160110456841841313217658796060500533427817001209962606754683534259120568394614051397331276349787123808806159786766292760299806605519801864145003081068364918337 has 217 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	February 23, 2023 08:56:29 UTC 2023 年 2 月 23 日 (木) 17 時 56 分 29 秒 (日本時間)
45	11e6	1792 / 4038	Dmitry Domanov	March 14, 2023 13:15:46 UTC 2023 年 3 月 14 日 (火) 22 時 15 分 46 秒 (日本時間)

65×10³⁰⁰+169

c259

composite cofactor 合成数の残り

8837864231562528070923763047571246235888547169060738860073000683362506048608638690041444058370312332537772238936042892612168130381625865870678445528482990953904050386591058036003816899805919495099111445605270375740447051995810188245341878380448078143623180467<259>

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	February 23, 2023 08:56:44 UTC 2023 年 2 月 23 日 (木) 17 時 56 分 44 秒 (日本時間)
45	11e6	3584	Dmitry Domanov	February 23, 2023 08:56:44 UTC 2023 年 2 月 23 日 (木) 17 時 56 分 44 秒 (日本時間)
50	43e6	130 / 6675	Dmitry Domanov	February 23, 2023 08:56:44 UTC 2023 年 2 月 23 日 (木) 17 時 56 分 44 秒 (日本時間)