Contributed factorization results of 7477...77

Table of contents 目次

673×10¹⁰²-79
- c101
- ECM
673×10¹⁰⁷-79
- c109
- ECM
673×10¹⁰⁹-79
- c102
- ECM
673×10¹¹¹-79
- c106
- ECM
673×10¹²⁰-79
- c120
- ECM
673×10¹²²-79
- c98
- ECM
673×10¹²³-79
- c117
- ECM
673×10¹²⁴-79
- c102
- ECM
673×10¹²⁷-79
- c124
- ECM
673×10¹³⁴-79
- c127
- ECM
673×10¹³⁷-79
- c99
- ECM
673×10¹³⁸-79
- c139
- ECM
673×10¹⁴³-79
- c138
- ECM
673×10¹⁴⁵-79
- c100
- ECM
673×10¹⁴⁸-79
- c104
- ECM
673×10¹⁵²-79
- c134
- c98
- ECM
673×10¹⁵⁶-79
- c138
- ECM
673×10¹⁵⁷-79
- c112
- ECM
673×10¹⁵⁸-79
- c116
- ECM
673×10¹⁶⁴-79
- c124
- ECM
673×10¹⁶⁶-79
- c143
- ECM
673×10¹⁶⁸-79
- c159
- ECM
673×10¹⁷⁵-79
- c163
- ECM
673×10¹⁷⁶-79
- c149
- ECM
673×10¹⁷⁷-79
- c140
- ECM
673×10¹⁷⁸-79
- c136
- ECM
673×10¹⁷⁹-79
- c179
- ECM
673×10¹⁸³-79
- c175
- ECM
673×10¹⁸⁴-79
- c180
- ECM
673×10¹⁸⁵-79
- c140
- ECM
673×10¹⁸⁷-79
- c146
- ECM
673×10¹⁸⁸-79
- c179
- ECM
673×10¹⁸⁹-79
- c190
- c144
- ECM
673×10¹⁹⁰-79
- c149
- ECM
673×10¹⁹⁵-79
- c160
- c121
- ECM
673×10¹⁹⁸-79
- c169
- ECM
673×10²⁰¹-79
- c181
- c148
- ECM
673×10²⁰³-79
- c205
- ECM
673×10²⁰⁴-79
- c205
- ECM
673×10²⁰⁵-79
- c173
- ECM
673×10²⁰⁶-79
- c205
- ECM
673×10²⁰⁷-79
- c161
- ECM
673×10²⁰⁸-79
- c191
- ECM
673×10²¹⁰-79
- c146
- c111
- ECM
673×10²¹¹-79
- c152
- ECM
673×10²¹⁴-79
- c197
- ECM
673×10²¹⁵-79
- c217
- ECM
673×10²¹⁶-79
- c209
- ECM
673×10²¹⁷-79
- c218
- ECM
673×10²¹⁸-79
- c208
- ECM
673×10²¹⁹-79
- c220
- ECM
673×10²²⁰-79
- c222
- c184
- ECM
673×10²²¹-79
- c216
- ECM
673×10²²⁴-79
- c205
- c171
- ECM
673×10²²⁶-79
- c227
- ECM
673×10²²⁷-79
- c133
- ECM
673×10²²⁸-79
- c229
- ECM
673×10²³³-79
- c186
- ECM
673×10²³⁴-79
- c218
- c184
- c146
- ECM
673×10²³⁵-79
- c225
- ECM
673×10²³⁶-79
- c202
- ECM
673×10²³⁷-79
- c194
- ECM
673×10²³⁸-79
- c236
- ECM
673×10²³⁹-79
- c216
- ECM
673×10²⁴⁰-79
- c239
- ECM
673×10²⁴¹-79
- c211
- ECM
673×10²⁴³-79
- c228
- ECM
673×10²⁴⁴-79
- c199
- ECM
673×10²⁴⁵-79
- c242
- ECM
673×10²⁴⁶-79
- c212
- ECM
673×10²⁴⁷-79
- c247
- ECM
673×10²⁴⁸-79
- c206
- ECM
673×10²⁴⁹-79
- c244
- ECM
673×10²⁵⁰-79
- c206
- ECM
673×10²⁵¹-79
- c164
- ECM
673×10²⁵²-79
- c253
- ECM
673×10²⁵³-79
- c236
- ECM
673×10²⁵⁴-79
- c209
- ECM
673×10²⁵⁵-79
- c252
- ECM
673×10²⁵⁶-79
- c252
- ECM
673×10²⁵⁹-79
- c235
- ECM
673×10²⁶⁰-79
- c181
- ECM
673×10²⁶¹-79
- c237
- ECM
673×10²⁶²-79
- c227
- ECM
673×10²⁶⁴-79
- c248
- ECM
673×10²⁶⁵-79
- c221
- ECM
673×10²⁶⁶-79
- c206
- ECM
673×10²⁶⁹-79
- c239
- ECM
673×10²⁷¹-79
- c265
- ECM
673×10²⁷³-79
- c211
- ECM
673×10²⁷⁶-79
- c256
- ECM
673×10²⁷⁷-79
- c245
- ECM
673×10²⁷⁸-79
- c230
- ECM
673×10²⁷⁹-79
- c217
- ECM
673×10²⁸⁰-79
- c189
- ECM
673×10²⁸²-79
- c275
- ECM
673×10²⁸³-79
- c228
- ECM
673×10²⁸⁴-79
- c243
- ECM
673×10²⁸⁵-79
- c234
- ECM
673×10²⁸⁶-79
- c286
- ECM
673×10²⁸⁹-79
- c266
- ECM
673×10²⁹⁰-79
- c289
- ECM
673×10²⁹¹-79
- c281
- ECM
673×10²⁹²-79
- c294
- ECM
673×10²⁹³-79
- c263
- ECM
673×10²⁹⁶-79
- c272
- ECM
673×10²⁹⁷-79
- c278
- ECM
673×10³⁰⁰-79
- c229
- ECM

673×10¹⁰²-79

c101

name 名前	KTakahashi
date 日付	January 8, 2015 13:29:42 UTC 2015 年 1 月 8 日 (木) 22 時 29 分 42 秒 (日本時間)
composite number 合成数	14539719575690798712381446194395834683604467777129647633244755546913820295115259144036122453388640439<101>
prime factors 素因数	327778557094967005403752780350197614098174091729<48> 44358361036650173550285879070697068800987769574953991<53>
factorization results 素因数分解の結果	Number: 74777_102 N=14539719575690798712381446194395834683604467777129647633244755546913820295115259144036122453388640439 ( 101 digits) SNFS difficulty: 106 digits. Divisors found: r1=327778557094967005403752780350197614098174091729 (pp48) r2=44358361036650173550285879070697068800987769574953991 (pp53) Version: Msieve v. 1.51 (SVN Official Release) Total time: 0.61 hours. Scaled time: 1.03 units (timescale=1.700). Factorization parameters were as follows: n: 14539719575690798712381446194395834683604467777129647633244755546913820295115259144036122453388640439 m: 100000000000000000000000000 c4: 673 c0: -700 skew: 1.01 type: snfs Factor base limits: 450000/500000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 44/44 Sieved rational special-q in [225000, 385001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 46323 x 46548 Total sieving time: 0.59 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,106.000,4,0,0,0,0,0,0,0,0,450000,500000,25,25,44,44,2.2,2.2,20000 total time: 0.61 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	0		-	-
35	1e6	118 / 904		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

673×10¹⁰⁷-79

c109

name 名前	KTakahashi
date 日付	January 8, 2015 13:34:12 UTC 2015 年 1 月 8 日 (木) 22 時 34 分 12 秒 (日本時間)
composite number 合成数	7477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<109>
prime factors 素因数	22646895053898106369626448425680537315790377<44> 330189977918878646530636903735544506907615360500725512119196456201<66>
factorization results 素因数分解の結果	Number: 74777_107 N=7477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777 ( 109 digits) SNFS difficulty: 111 digits. Divisors found: r1=22646895053898106369626448425680537315790377 (pp44) r2=330189977918878646530636903735544506907615360500725512119196456201 (pp66) Version: Msieve v. 1.51 (SVN Official Release) Total time: 1.84 hours. Scaled time: 3.12 units (timescale=1.697). Factorization parameters were as follows: n: 7477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777 m: 5000000000000000000000 c5: 2692 c0: -875 skew: 0.80 type: snfs Factor base limits: 600000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved rational special-q in [300000, 550001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 80415 x 80644 Total sieving time: 1.79 hours. Total relation processing time: 0.02 hours. Matrix solve time: 0.03 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,111.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000 total time: 1.84 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
30	25e4	0		-	-
35	1e6	118 / 904		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

673×10¹⁰⁹-79

c102

name 名前	KTakahashi
date 日付	January 8, 2015 13:36:30 UTC 2015 年 1 月 8 日 (木) 22 時 36 分 30 秒 (日本時間)
composite number 合成数	344988132038408046273295263448015348780556073469629543691189273054544723796933750680332166980796635519<102>
prime factors 素因数	7728980909397352851722866991299<31> 44635655862333808894115929134375665649454577073133764935963916883269781<71>
factorization results 素因数分解の結果	Input number is 344988132038408046273295263448015348780556073469629543691189273054544723796933750680332166980796635519 (102 digits) Using B1=250000, B2=128992510, polynomial Dickson(3), sigma=1767699701 Step 1 took 749ms Step 2 took 453ms ********** Factor found in step 2: 7728980909397352851722866991299 Found probable prime factor of 31 digits: 7728980909397352851722866991299 Probable prime cofactor 44635655862333808894115929134375665649454577073133764935963916883269781 has 71 digits
software ソフトウェア	GMP-ECM 6.4.4

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	0		-	-
35	1e6	118 / 904		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

673×10¹¹¹-79

c106

name 名前	KTakahashi
date 日付	January 8, 2015 13:39:46 UTC 2015 年 1 月 8 日 (木) 22 時 39 分 46 秒 (日本時間)
composite number 合成数	2627490494487034972199100891492689023315675230759157471006276817117670334655109409621664832713438831878787<106>
prime factors 素因数	11985218453498011249488906173750017<35> 219227584768817827803505187321346044140281434141083470583417369157095811<72>
factorization results 素因数分解の結果	Input number is 2627490494487034972199100891492689023315675230759157471006276817117670334655109409621664832713438831878787 (106 digits) Using B1=250000, B2=128992510, polynomial Dickson(3), sigma=3108813813 Step 1 took 686ms Step 2 took 437ms ********** Factor found in step 2: 11985218453498011249488906173750017 Found probable prime factor of 35 digits: 11985218453498011249488906173750017 Probable prime cofactor 219227584768817827803505187321346044140281434141083470583417369157095811 has 72 digits
software ソフトウェア	GMP-ECM 6.4.4

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	0		-	-
35	1e6	118 / 904		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

673×10¹²⁰-79

c120

name 名前	KTakahashi
date 日付	January 8, 2015 14:05:34 UTC 2015 年 1 月 8 日 (木) 23 時 5 分 34 秒 (日本時間)
composite number 合成数	118883589471824765942413001236530648295354177707118883589471824765942413001236530648295354177707118883589471824765942413<120>
prime factors 素因数	95928775095972817985537736357554556910440027784468351570021<59> 1239290185378543555359846103354773345398268785060962067225353<61>
factorization results 素因数分解の結果	Number: 74777_120 N=118883589471824765942413001236530648295354177707118883589471824765942413001236530648295354177707118883589471824765942413 ( 120 digits) SNFS difficulty: 122 digits. Divisors found: r1=95928775095972817985537736357554556910440027784468351570021 (pp59) r2=1239290185378543555359846103354773345398268785060962067225353 (pp61) Version: Msieve v. 1.51 (SVN Official Release) Total time: 2.11 hours. Scaled time: 3.66 units (timescale=1.733). Factorization parameters were as follows: n: 118883589471824765942413001236530648295354177707118883589471824765942413001236530648295354177707118883589471824765942413 m: 1000000000000000000000000 c5: 673 c0: -7 skew: 0.40 type: snfs Factor base limits: 600000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved rational special-q in [300000, 500001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 122379 x 122604 Total sieving time: 2.03 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.05 hours. Time per square root: 0.02 hours. Prototype def-par.txt line would be: snfs,122.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000 total time: 2.11 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
30	25e4	0		-	-
35	1e6	118 / 904		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

673×10¹²²-79

c98

name 名前	KTakahashi
date 日付	January 8, 2015 14:16:19 UTC 2015 年 1 月 8 日 (木) 23 時 16 分 19 秒 (日本時間)
composite number 合成数	34412305793221278120927377199507769614921823902451650373696422242525441788478724685574667607072829<98>
prime factors 素因数	218075344706193898374893719491061<33> 157800075196872452732651176140716989821543515167325069878329704489<66>
factorization results 素因数分解の結果	GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM] Input number is 34412305793221278120927377199507769614921823902451650373696422242525441788478724685574667607072829 (98 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2634092613 Step 1 took 2605ms Step 2 took 1592ms ********** Factor found in step 2: 218075344706193898374893719491061 Found probable prime factor of 33 digits: 218075344706193898374893719491061 Probable prime cofactor 157800075196872452732651176140716989821543515167325069878329704489 has 66 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	0		-	-
35	1e6	118 / 904		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

673×10¹²³-79

c117

name 名前	KTakahashi
date 日付	January 8, 2015 14:18:40 UTC 2015 年 1 月 8 日 (木) 23 時 18 分 40 秒 (日本時間)
composite number 合成数	259313274895133316690198922522980424299469590031519004542621051402518792449407302886561825431120967296589202520665747<117>
prime factors 素因数	117652281540617094350883804802101208333202826482429<51> 2204064991341545730937648355515786838296143534627961445708678849743<67>
factorization results 素因数分解の結果	Number: 74777_123 N=259313274895133316690198922522980424299469590031519004542621051402518792449407302886561825431120967296589202520665747 ( 117 digits) SNFS difficulty: 127 digits. Divisors found: r1=117652281540617094350883804802101208333202826482429 (pp51) r2=2204064991341545730937648355515786838296143534627961445708678849743 (pp67) Version: Msieve v. 1.51 (SVN Official Release) Total time: 3.15 hours. Scaled time: 6.51 units (timescale=2.068). Factorization parameters were as follows: n: 259313274895133316690198922522980424299469590031519004542621051402518792449407302886561825431120967296589202520665747 m: 10000000000000000000000000 c5: 673 c0: -700 skew: 1.01 type: snfs Factor base limits: 800000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 44/44 Sieved rational special-q in [400000, 1000001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 122863 x 123088 Total sieving time: 3.09 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.04 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,127.000,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000 total time: 3.15 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904	118	Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
35	1e6	904	786	KTakahashi	January 8, 2015 14:18:05 UTC 2015 年 1 月 8 日 (木) 23 時 18 分 5 秒 (日本時間)

673×10¹²⁴-79

c102

name 名前	KTakahashi
date 日付	January 8, 2015 14:33:30 UTC 2015 年 1 月 8 日 (木) 23 時 33 分 30 秒 (日本時間)
composite number 合成数	809748397574269687672158839041611874200197871826005356384039305551444453509246134756287541595320171561<102>
prime factors 素因数	258651792318868078106199497000342199763<39> 3130650633868429323809121543140625070933312008747647012367692947<64>
factorization results 素因数分解の結果	Number: 74777_124 N=809748397574269687672158839041611874200197871826005356384039305551444453509246134756287541595320171561 ( 102 digits) SNFS difficulty: 127 digits. Divisors found: r1=258651792318868078106199497000342199763 (pp39) r2=3130650633868429323809121543140625070933312008747647012367692947 (pp64) Version: Msieve v. 1.51 (SVN Official Release) Total time: 3.39 hours. Scaled time: 7.02 units (timescale=2.068). Factorization parameters were as follows: n: 809748397574269687672158839041611874200197871826005356384039305551444453509246134756287541595320171561 m: 10000000000000000000000000 c5: 673 c0: -70 skew: 0.64 type: snfs Factor base limits: 800000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 44/44 Sieved rational special-q in [400000, 950001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 116746 x 116993 Total sieving time: 3.33 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.04 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,127.000,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000 total time: 3.39 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904	118	Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
35	1e6	904	786	KTakahashi	January 8, 2015 14:32:59 UTC 2015 年 1 月 8 日 (木) 23 時 32 分 59 秒 (日本時間)

673×10¹²⁷-79

c124

name 名前	KTakahashi
date 日付	January 8, 2015 14:48:38 UTC 2015 年 1 月 8 日 (木) 23 時 48 分 38 秒 (日本時間)
composite number 合成数	3772026138515749750446561935492187758345958131070341841970600615294248865169402086216299076273955588735934069691125425754139<124>
prime factors 素因数	32999653093633338598500742287355745817633013<44> 114305023989585246115162980690650594745448818962119864782439796316172189526442703<81>
factorization results 素因数分解の結果	Number: 74777_127 N=3772026138515749750446561935492187758345958131070341841970600615294248865169402086216299076273955588735934069691125425754139 ( 124 digits) SNFS difficulty: 131 digits. Divisors found: r1=32999653093633338598500742287355745817633013 (pp44) r2=114305023989585246115162980690650594745448818962119864782439796316172189526442703 (pp81) Version: Msieve v. 1.51 (SVN Official Release) Total time: 4.56 hours. Scaled time: 7.74 units (timescale=1.696). Factorization parameters were as follows: n: 3772026138515749750446561935492187758345958131070341841970600615294248865169402086216299076273955588735934069691125425754139 m: 50000000000000000000000000 c5: 2692 c0: -875 skew: 0.80 type: snfs Factor base limits: 800000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 44/44 Sieved rational special-q in [400000, 1300001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 133819 x 134057 Total sieving time: 4.44 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.06 hours. Time per square root: 0.05 hours. Prototype def-par.txt line would be: snfs,131.000,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000 total time: 4.56 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904	118	Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
35	1e6	904	786	KTakahashi	January 8, 2015 14:47:56 UTC 2015 年 1 月 8 日 (木) 23 時 47 分 56 秒 (日本時間)

673×10¹³⁴-79

c127

name 名前	KTakahashi
date 日付	January 8, 2015 16:20:06 UTC 2015 年 1 月 9 日 (金) 1 時 20 分 6 秒 (日本時間)
composite number 合成数	1965740569391010318053749335344521591019651103728263296401738201781448991126468225348379407125918693313071521707847468681345659<127>
prime factors 素因数	5179154939152698489531633174853501<34> 379548515633440838641137524585646937824610094532634014558876949562376795956551407338743139159<93>
factorization results 素因数分解の結果	Input number is 1965740569391010318053749335344521591019651103728263296401738201781448991126468225348379407125918693313071521707847468681345659 (127 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=380755361 Step 1 took 3588ms Step 2 took 2246ms ********** Factor found in step 2: 5179154939152698489531633174853501 Found probable prime factor of 34 digits: 5179154939152698489531633174853501 Probable prime cofactor 379548515633440838641137524585646937824610094532634014558876949562376795956551407338743139159 has 93 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	0		-	-
35	1e6	118 / 904		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

673×10¹³⁷-79

c99

name 名前	KTakahashi
date 日付	January 8, 2015 16:21:38 UTC 2015 年 1 月 9 日 (金) 1 時 21 分 38 秒 (日本時間)
composite number 合成数	136915507991122466678454988785547903430379649946953394057932679558954626976561634770844391388776067<99>
prime factors 素因数	216306271886008246480942178502810036149287<42> 632970587479201222011709957865464024456507972614801231941<57>
factorization results 素因数分解の結果	GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM] Input number is 136915507991122466678454988785547903430379649946953394057932679558954626976561634770844391388776067 (99 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3360823994 Step 1 took 2637ms Step 2 took 1606ms ********** Factor found in step 2: 216306271886008246480942178502810036149287 Found probable prime factor of 42 digits: 216306271886008246480942178502810036149287 Probable prime cofactor 632970587479201222011709957865464024456507972614801231941 has 57 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	0		-	-
35	1e6	118 / 904		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

673×10¹³⁸-79

c139

name 名前	KTakahashi
date 日付	January 8, 2015 16:22:23 UTC 2015 年 1 月 9 日 (金) 1 時 22 分 23 秒 (日本時間)
composite number 合成数	2021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021<139>
prime factors 素因数	440561008790551043473864048323214831321173241<45> 4587380591326553592178231503691719455962203444706681054812468068021180012965901876992471848581<94>
factorization results 素因数分解の結果	Number: 74777_138 N=2021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021 ( 139 digits) SNFS difficulty: 142 digits. Divisors found: r1=440561008790551043473864048323214831321173241 (pp45) r2=4587380591326553592178231503691719455962203444706681054812468068021180012965901876992471848581 (pp94) Version: Msieve v. 1.51 (SVN Official Release) Total time: 11.86 hours. Scaled time: 20.12 units (timescale=1.696). Factorization parameters were as follows: n: 2021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021 m: 10000000000000000000000000000 c5: 673 c0: -700 skew: 1.01 type: snfs Factor base limits: 1300000/1300000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 45/45 Sieved rational special-q in [650000, 2650001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 247998 x 248244 Total sieving time: 11.61 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.21 hours. Time per square root: 0.02 hours. Prototype def-par.txt line would be: snfs,142.000,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000 total time: 11.86 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904	118	Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
35	1e6	904	786	KTakahashi	January 8, 2015 16:21:49 UTC 2015 年 1 月 9 日 (金) 1 時 21 分 49 秒 (日本時間)

673×10¹⁴³-79

c138

name 名前	Cyp
date 日付	January 15, 2015 17:46:54 UTC 2015 年 1 月 16 日 (金) 2 時 46 分 54 秒 (日本時間)
composite number 合成数	242425298184287468336437367743806933270592369386013193533976253148867781462101986334554382372005178996844188156597708412371455021258483323<138>
prime factors 素因数	12332955269958977985609165062270424620724919873<47> 19656707810721981649344394516587431504729436553129136273788796081091054637956594593358302651<92>
factorization results 素因数分解の結果	01/15/15 17:27:33 v1.34.3, 01/15/15 17:27:33 v1.34.3, ************************** 01/15/15 17:27:33 v1.34.3, Starting factorization of 242425298184287468336437367743806933270592369386013193533976253148867781462101986334554382372005178996844188156597708412371455021258483323 01/15/15 17:27:33 v1.34.3, using pretesting plan: none 01/15/15 17:27:33 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 01/15/15 17:27:33 v1.34.3, ************************** 01/15/15 17:27:33 v1.34.3, nfs: commencing nfs on c138: 242425298184287468336437367743806933270592369386013193533976253148867781462101986334554382372005178996844188156597708412371455021258483323 01/15/15 17:27:33 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq 01/15/15 17:27:33 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/15/15 17:28:33 v1.34.3, nfs: commencing lattice sieving with 8 threads [65 lines snipped] 01/15/15 18:38:01 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/15/15 18:39:09 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/15/15 18:40:12 v1.34.3, nfs: commencing msieve filtering 01/15/15 18:41:05 v1.34.3, nfs: commencing msieve linear algebra 01/15/15 18:45:34 v1.34.3, nfs: commencing msieve sqrt 01/15/15 18:46:54 v1.34.3, prp92 = 19656707810721981649344394516587431504729436553129136273788796081091054637956594593358302651 01/15/15 18:46:54 v1.34.3, prp47 = 12332955269958977985609165062270424620724919873 01/15/15 18:46:54 v1.34.3, NFS elapsed time = 4760.4083 seconds. 01/15/15 18:46:54 v1.34.3, 01/15/15 18:46:54 v1.34.3, 01/15/15 18:46:54 v1.34.3, Total factoring time = 4760.4091 seconds -- Thu Jan 15 18:40:12 2015 Thu Jan 15 18:40:12 2015 commencing relation filtering Thu Jan 15 18:40:12 2015 estimated available RAM is 15987.3 MB Thu Jan 15 18:40:12 2015 commencing duplicate removal, pass 1 Thu Jan 15 18:40:24 2015 found 739629 hash collisions in 4469029 relations Thu Jan 15 18:40:28 2015 added 182598 free relations Thu Jan 15 18:40:28 2015 commencing duplicate removal, pass 2 Thu Jan 15 18:40:31 2015 found 622000 duplicates and 4029627 unique relations Thu Jan 15 18:40:31 2015 memory use: 20.6 MB Thu Jan 15 18:40:31 2015 reading ideals above 100000 Thu Jan 15 18:40:31 2015 commencing singleton removal, initial pass Thu Jan 15 18:40:49 2015 memory use: 94.1 MB Thu Jan 15 18:40:49 2015 reading all ideals from disk Thu Jan 15 18:40:49 2015 memory use: 131.9 MB Thu Jan 15 18:40:49 2015 keeping 4684840 ideals with weight <= 200, target excess is 21503 Thu Jan 15 18:40:49 2015 commencing in-memory singleton removal Thu Jan 15 18:40:49 2015 begin with 4029627 relations and 4684840 unique ideals Thu Jan 15 18:40:50 2015 reduce to 1423975 relations and 1387040 ideals in 16 passes Thu Jan 15 18:40:50 2015 max relations containing the same ideal: 99 Thu Jan 15 18:40:51 2015 relations with 0 large ideals: 505 Thu Jan 15 18:40:51 2015 relations with 1 large ideals: 118 Thu Jan 15 18:40:51 2015 relations with 2 large ideals: 1898 Thu Jan 15 18:40:51 2015 relations with 3 large ideals: 17178 Thu Jan 15 18:40:51 2015 relations with 4 large ideals: 83606 Thu Jan 15 18:40:51 2015 relations with 5 large ideals: 237761 Thu Jan 15 18:40:51 2015 relations with 6 large ideals: 414913 Thu Jan 15 18:40:51 2015 relations with 7+ large ideals: 667996 Thu Jan 15 18:40:51 2015 commencing 2-way merge Thu Jan 15 18:40:51 2015 reduce to 835270 relation sets and 798380 unique ideals Thu Jan 15 18:40:51 2015 ignored 45 oversize relation sets Thu Jan 15 18:40:51 2015 commencing full merge Thu Jan 15 18:41:01 2015 memory use: 99.8 MB Thu Jan 15 18:41:01 2015 found 396859 cycles, need 388580 Thu Jan 15 18:41:01 2015 weight of 388580 cycles is about 27347463 (70.38/cycle) Thu Jan 15 18:41:01 2015 distribution of cycle lengths: Thu Jan 15 18:41:01 2015 1 relations: 44306 Thu Jan 15 18:41:01 2015 2 relations: 44911 Thu Jan 15 18:41:01 2015 3 relations: 43837 Thu Jan 15 18:41:01 2015 4 relations: 39096 Thu Jan 15 18:41:01 2015 5 relations: 35004 Thu Jan 15 18:41:01 2015 6 relations: 29988 Thu Jan 15 18:41:01 2015 7 relations: 25841 Thu Jan 15 18:41:01 2015 8 relations: 21827 Thu Jan 15 18:41:01 2015 9 relations: 18442 Thu Jan 15 18:41:01 2015 10+ relations: 85328 Thu Jan 15 18:41:01 2015 heaviest cycle: 25 relations Thu Jan 15 18:41:02 2015 commencing cycle optimization Thu Jan 15 18:41:02 2015 start with 2470484 relations Thu Jan 15 18:41:04 2015 pruned 67552 relations Thu Jan 15 18:41:04 2015 memory use: 78.5 MB Thu Jan 15 18:41:04 2015 distribution of cycle lengths: Thu Jan 15 18:41:04 2015 1 relations: 44306 Thu Jan 15 18:41:04 2015 2 relations: 45893 Thu Jan 15 18:41:04 2015 3 relations: 45361 Thu Jan 15 18:41:04 2015 4 relations: 40157 Thu Jan 15 18:41:04 2015 5 relations: 36017 Thu Jan 15 18:41:04 2015 6 relations: 30382 Thu Jan 15 18:41:04 2015 7 relations: 26236 Thu Jan 15 18:41:04 2015 8 relations: 21714 Thu Jan 15 18:41:04 2015 9 relations: 18298 Thu Jan 15 18:41:04 2015 10+ relations: 80216 Thu Jan 15 18:41:04 2015 heaviest cycle: 25 relations Thu Jan 15 18:41:05 2015 RelProcTime: 53 Thu Jan 15 18:41:05 2015 Thu Jan 15 18:41:05 2015 commencing linear algebra Thu Jan 15 18:41:05 2015 read 388580 cycles Thu Jan 15 18:41:05 2015 cycles contain 1282979 unique relations Thu Jan 15 18:41:11 2015 read 1282979 relations Thu Jan 15 18:41:12 2015 using 20 quadratic characters above 67107462 Thu Jan 15 18:41:16 2015 building initial matrix Thu Jan 15 18:41:22 2015 memory use: 155.2 MB Thu Jan 15 18:41:22 2015 read 388580 cycles Thu Jan 15 18:41:22 2015 matrix is 388384 x 388580 (115.7 MB) with weight 34320328 (88.32/col) Thu Jan 15 18:41:22 2015 sparse part has weight 26064489 (67.08/col) Thu Jan 15 18:41:24 2015 filtering completed in 2 passes Thu Jan 15 18:41:24 2015 matrix is 387217 x 387417 (115.5 MB) with weight 34256600 (88.42/col) Thu Jan 15 18:41:24 2015 sparse part has weight 26027863 (67.18/col) Thu Jan 15 18:41:25 2015 matrix starts at (0, 0) Thu Jan 15 18:41:25 2015 matrix is 387217 x 387417 (115.5 MB) with weight 34256600 (88.42/col) Thu Jan 15 18:41:25 2015 sparse part has weight 26027863 (67.18/col) Thu Jan 15 18:41:25 2015 saving the first 48 matrix rows for later Thu Jan 15 18:41:25 2015 matrix includes 64 packed rows Thu Jan 15 18:41:25 2015 matrix is 387169 x 387417 (108.6 MB) with weight 26998982 (69.69/col) Thu Jan 15 18:41:25 2015 sparse part has weight 24593622 (63.48/col) Thu Jan 15 18:41:25 2015 using block size 65536 for processor cache size 8192 kB Thu Jan 15 18:41:26 2015 commencing Lanczos iteration (8 threads) Thu Jan 15 18:41:26 2015 memory use: 104.6 MB Thu Jan 15 18:41:34 2015 linear algebra at 3.1%, ETA 0h 4m Thu Jan 15 18:45:33 2015 lanczos halted after 6122 iterations (dim = 387167) Thu Jan 15 18:45:34 2015 recovered 36 nontrivial dependencies Thu Jan 15 18:45:34 2015 BLanczosTime: 269 Thu Jan 15 18:45:34 2015 Thu Jan 15 18:45:34 2015 commencing square root phase Thu Jan 15 18:45:34 2015 reading relations for dependency 1 Thu Jan 15 18:45:34 2015 read 193660 cycles Thu Jan 15 18:45:34 2015 cycles contain 640444 unique relations Thu Jan 15 18:45:38 2015 read 640444 relations Thu Jan 15 18:45:39 2015 multiplying 640444 relations Thu Jan 15 18:45:54 2015 multiply complete, coefficients have about 24.30 million bits Thu Jan 15 18:45:54 2015 initial square root is modulo 9507881 Thu Jan 15 18:46:14 2015 GCD is 1, no factor found Thu Jan 15 18:46:14 2015 reading relations for dependency 2 Thu Jan 15 18:46:14 2015 read 193872 cycles Thu Jan 15 18:46:14 2015 cycles contain 642020 unique relations Thu Jan 15 18:46:18 2015 read 642020 relations Thu Jan 15 18:46:19 2015 multiplying 642020 relations Thu Jan 15 18:46:34 2015 multiply complete, coefficients have about 24.35 million bits Thu Jan 15 18:46:34 2015 initial square root is modulo 9877211 Thu Jan 15 18:46:54 2015 sqrtTime: 80 -- n: 242425298184287468336437367743806933270592369386013193533976253148867781462101986334554382372005178996844188156597708412371455021258483323 m: 10000000000000000000000000000 deg: 5 c5: 673000 c0: -7 skew: 0.10 # Murphy_E = 1.191e-09 type: snfs lss: 1 rlim: 1890000 alim: 1890000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.3 alambda: 2.3
software ソフトウェア	yafu v1.34.3
execution environment 実行環境	Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904	118	Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
35	1e6	904	786	KTakahashi	January 8, 2015 16:22:41 UTC 2015 年 1 月 9 日 (金) 1 時 22 分 41 秒 (日本時間)
40	3e6	300 / 2104		Serge Batalov	January 9, 2015 00:02:30 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 30 秒 (日本時間)

673×10¹⁴⁵-79

c100

name 名前	KTakahashi
date 日付	January 8, 2015 16:23:14 UTC 2015 年 1 月 9 日 (金) 1 時 23 分 14 秒 (日本時間)
composite number 合成数	2402577892653524282196619274017495469764813858546978803793231410543224432068091118191019389302895627<100>
prime factors 素因数	20879034882114482706046012354360360452089878649<47> 115071309867470655210658411416272157203901007922108323<54>
factorization results 素因数分解の結果	Number: 74777_145 N=2402577892653524282196619274017495469764813858546978803793231410543224432068091118191019389302895627 ( 100 digits) Divisors found: r1=20879034882114482706046012354360360452089878649 (pp47) r2=115071309867470655210658411416272157203901007922108323 (pp54) Version: Msieve v. 1.51 (SVN Official Release) Total time: 5.64 hours. Scaled time: 9.82 units (timescale=1.742). Factorization parameters were as follows: name: 74777_145 n: 2402577892653524282196619274017495469764813858546978803793231410543224432068091118191019389302895627 skew: 9043.51 # norm 6.39e+013 c5: 42840 c4: 65325880 c3: -9393940025980 c2: -4412254365121927 c1: 391651592034190256394 c0: 267068771436270277973016 # alpha -5.76 Y1: 36588565189 Y0: -8907689273853253129 # Murphy_E 3.42e-009 # M 1157951892924475751580208964604907260298754061019731024809945493947918475878035498213479843414746790 type: gnfs rlim: 1800000 alim: 1800000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 1800000/1800000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved algebraic special-q in [900000, 1400001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 185964 x 186190 Polynomial selection time: 0.38 hours. Total sieving time: 5.10 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.11 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: gnfs,99,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000 total time: 5.64 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
30	25e4	0		-	-
35	1e6	118 / 904		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

673×10¹⁴⁸-79

c104

name 名前	KTakahashi
date 日付	January 8, 2015 16:24:36 UTC 2015 年 1 月 9 日 (金) 1 時 24 分 36 秒 (日本時間)
composite number 合成数	28185908645406772074550303351860321822389337537296944682419962817806869263864007027818775620918203112829<104>
prime factors 素因数	302735639725998974094772160941963<33> 93104031857357040351704701055414945510896871808776833595157354552207383<71>
factorization results 素因数分解の結果	GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM] Input number is 28185908645406772074550303351860321822389337537296944682419962817806869263864007027818775620918203112829 (104 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1775763282 Step 1 took 2652ms Step 2 took 1669ms ********** Factor found in step 2: 302735639725998974094772160941963 Found probable prime factor of 33 digits: 302735639725998974094772160941963 Probable prime cofactor 93104031857357040351704701055414945510896871808776833595157354552207383 has 71 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	0		-	-
35	1e6	118 / 904		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

673×10¹⁵²-79

c134

name 名前	Serge Batalov
date 日付	January 8, 2015 23:11:52 UTC 2015 年 1 月 9 日 (金) 8 時 11 分 52 秒 (日本時間)
composite number 合成数	22079257729610151600895318632334427511589188033881107414003561791088477122371149735349262450285043733647089203080825906966745532939311<134>
prime factors 素因数	432630336097853961480348002547406153<36>
composite cofactor 合成数の残り	51034927251648349031770528766118928768995789026654115180264833995518739052787454960744695293468087<98>
factorization results 素因数分解の結果	Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=529783481 Step 1 took 7584ms Step 2 took 6880ms ********** Factor found in step 2: 432630336097853961480348002547406153 Found probable prime factor of 36 digits: 432630336097853961480348002547406153 Composite cofactor

c98

name 名前	Cyp
date 日付	January 9, 2015 22:07:12 UTC 2015 年 1 月 10 日 (土) 7 時 7 分 12 秒 (日本時間)
composite number 合成数	51034927251648349031770528766118928768995789026654115180264833995518739052787454960744695293468087<98>
prime factors 素因数	665630723063389998586963902551701039271287<42> 76671531952091311040141250893327590749207054205945086401<56>
factorization results 素因数分解の結果	01/09/15 22:46:06 v1.34.3, 01/09/15 22:46:06 v1.34.3, ************************** 01/09/15 22:46:06 v1.34.3, Starting factorization of 51034927251648349031770528766118928768995789026654115180264833995518739052787454960744695293468087 01/09/15 22:46:06 v1.34.3, using pretesting plan: none 01/09/15 22:46:06 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 01/09/15 22:46:06 v1.34.3, ************************** 01/09/15 22:46:06 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C98 01/09/15 22:46:06 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C98 01/09/15 22:46:06 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C98 01/09/15 22:46:06 v1.34.3, final ECM pretested depth: 0.00 01/09/15 22:46:06 v1.34.3, scheduler: switching to sieve method 01/09/15 22:46:06 v1.34.3, nfs: commencing nfs on c98: 51034927251648349031770528766118928768995789026654115180264833995518739052787454960744695293468087 01/09/15 22:46:06 v1.34.3, nfs: commencing poly selection with 8 threads 01/09/15 22:46:06 v1.34.3, nfs: setting deadline of 132 seconds 01/09/15 22:48:26 v1.34.3, nfs: completed 196 ranges of size 250 in 140.4683 seconds 01/09/15 22:48:26 v1.34.3, nfs: best poly = # norm 2.033852e-13 alpha -5.567714 e 1.487e-08 rroots 2 01/09/15 22:48:26 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/09/15 22:49:50 v1.34.3, nfs: commencing lattice sieving with 8 threads [7 lines snipped] 01/09/15 23:01:31 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/09/15 23:03:04 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/09/15 23:04:30 v1.34.3, nfs: commencing msieve filtering 01/09/15 23:05:18 v1.34.3, nfs: commencing msieve linear algebra 01/09/15 23:06:49 v1.34.3, nfs: commencing msieve sqrt 01/09/15 23:07:11 v1.34.3, prp56 = 76671531952091311040141250893327590749207054205945086401 01/09/15 23:07:11 v1.34.3, prp42 = 665630723063389998586963902551701039271287 01/09/15 23:07:11 v1.34.3, NFS elapsed time = 1265.5439 seconds. 01/09/15 23:07:11 v1.34.3, 01/09/15 23:07:11 v1.34.3, 01/09/15 23:07:11 v1.34.3, Total factoring time = 1265.5704 seconds -- Fri Jan 9 23:04:30 2015 Fri Jan 9 23:04:30 2015 commencing relation filtering Fri Jan 9 23:04:30 2015 estimated available RAM is 15987.3 MB Fri Jan 9 23:04:30 2015 commencing duplicate removal, pass 1 Fri Jan 9 23:04:44 2015 found 400737 hash collisions in 4617953 relations Fri Jan 9 23:04:47 2015 added 154146 free relations Fri Jan 9 23:04:47 2015 commencing duplicate removal, pass 2 Fri Jan 9 23:04:51 2015 found 145974 duplicates and 4626125 unique relations Fri Jan 9 23:04:51 2015 memory use: 19.6 MB Fri Jan 9 23:04:51 2015 reading ideals above 100000 Fri Jan 9 23:04:51 2015 commencing singleton removal, initial pass Fri Jan 9 23:05:09 2015 memory use: 172.2 MB Fri Jan 9 23:05:09 2015 reading all ideals from disk Fri Jan 9 23:05:09 2015 memory use: 141.3 MB Fri Jan 9 23:05:09 2015 keeping 5232299 ideals with weight <= 200, target excess is 37997 Fri Jan 9 23:05:09 2015 commencing in-memory singleton removal Fri Jan 9 23:05:10 2015 begin with 4626125 relations and 5232299 unique ideals Fri Jan 9 23:05:11 2015 reduce to 1456112 relations and 1344515 ideals in 20 passes Fri Jan 9 23:05:11 2015 max relations containing the same ideal: 89 Fri Jan 9 23:05:11 2015 removing 276834 relations and 243074 ideals in 33760 cliques Fri Jan 9 23:05:11 2015 commencing in-memory singleton removal Fri Jan 9 23:05:11 2015 begin with 1179278 relations and 1344515 unique ideals Fri Jan 9 23:05:11 2015 reduce to 1132587 relations and 1053215 ideals in 10 passes Fri Jan 9 23:05:11 2015 max relations containing the same ideal: 76 Fri Jan 9 23:05:12 2015 removing 206566 relations and 172806 ideals in 33760 cliques Fri Jan 9 23:05:12 2015 commencing in-memory singleton removal Fri Jan 9 23:05:12 2015 begin with 926021 relations and 1053215 unique ideals Fri Jan 9 23:05:12 2015 reduce to 892465 relations and 845697 ideals in 9 passes Fri Jan 9 23:05:12 2015 max relations containing the same ideal: 65 Fri Jan 9 23:05:12 2015 relations with 0 large ideals: 671 Fri Jan 9 23:05:12 2015 relations with 1 large ideals: 5780 Fri Jan 9 23:05:12 2015 relations with 2 large ideals: 35925 Fri Jan 9 23:05:12 2015 relations with 3 large ideals: 128689 Fri Jan 9 23:05:12 2015 relations with 4 large ideals: 249527 Fri Jan 9 23:05:12 2015 relations with 5 large ideals: 270765 Fri Jan 9 23:05:12 2015 relations with 6 large ideals: 150426 Fri Jan 9 23:05:12 2015 relations with 7+ large ideals: 50682 Fri Jan 9 23:05:12 2015 commencing 2-way merge Fri Jan 9 23:05:12 2015 reduce to 493529 relation sets and 446761 unique ideals Fri Jan 9 23:05:12 2015 commencing full merge Fri Jan 9 23:05:16 2015 memory use: 44.9 MB Fri Jan 9 23:05:16 2015 found 227608 cycles, need 220961 Fri Jan 9 23:05:16 2015 weight of 220961 cycles is about 15690913 (71.01/cycle) Fri Jan 9 23:05:16 2015 distribution of cycle lengths: Fri Jan 9 23:05:16 2015 1 relations: 21392 Fri Jan 9 23:05:16 2015 2 relations: 21550 Fri Jan 9 23:05:16 2015 3 relations: 21330 Fri Jan 9 23:05:16 2015 4 relations: 20010 Fri Jan 9 23:05:16 2015 5 relations: 18373 Fri Jan 9 23:05:16 2015 6 relations: 17101 Fri Jan 9 23:05:16 2015 7 relations: 15129 Fri Jan 9 23:05:16 2015 8 relations: 13218 Fri Jan 9 23:05:16 2015 9 relations: 12022 Fri Jan 9 23:05:16 2015 10+ relations: 60836 Fri Jan 9 23:05:16 2015 heaviest cycle: 24 relations Fri Jan 9 23:05:16 2015 commencing cycle optimization Fri Jan 9 23:05:16 2015 start with 1541803 relations Fri Jan 9 23:05:17 2015 pruned 36085 relations Fri Jan 9 23:05:17 2015 memory use: 50.0 MB Fri Jan 9 23:05:17 2015 distribution of cycle lengths: Fri Jan 9 23:05:17 2015 1 relations: 21392 Fri Jan 9 23:05:17 2015 2 relations: 21991 Fri Jan 9 23:05:17 2015 3 relations: 22060 Fri Jan 9 23:05:17 2015 4 relations: 20395 Fri Jan 9 23:05:17 2015 5 relations: 18910 Fri Jan 9 23:05:17 2015 6 relations: 17426 Fri Jan 9 23:05:17 2015 7 relations: 15371 Fri Jan 9 23:05:17 2015 8 relations: 13290 Fri Jan 9 23:05:17 2015 9 relations: 12143 Fri Jan 9 23:05:17 2015 10+ relations: 57983 Fri Jan 9 23:05:17 2015 heaviest cycle: 24 relations Fri Jan 9 23:05:18 2015 RelProcTime: 48 Fri Jan 9 23:05:18 2015 Fri Jan 9 23:05:18 2015 commencing linear algebra Fri Jan 9 23:05:18 2015 read 220961 cycles Fri Jan 9 23:05:18 2015 cycles contain 826440 unique relations Fri Jan 9 23:05:22 2015 read 826440 relations Fri Jan 9 23:05:23 2015 using 20 quadratic characters above 67106214 Fri Jan 9 23:05:25 2015 building initial matrix Fri Jan 9 23:05:29 2015 memory use: 99.7 MB Fri Jan 9 23:05:29 2015 read 220961 cycles Fri Jan 9 23:05:29 2015 matrix is 220782 x 220961 (67.5 MB) with weight 21462268 (97.13/col) Fri Jan 9 23:05:29 2015 sparse part has weight 15039622 (68.06/col) Fri Jan 9 23:05:30 2015 filtering completed in 2 passes Fri Jan 9 23:05:30 2015 matrix is 219814 x 219995 (67.4 MB) with weight 21411967 (97.33/col) Fri Jan 9 23:05:30 2015 sparse part has weight 15019564 (68.27/col) Fri Jan 9 23:05:31 2015 matrix starts at (0, 0) Fri Jan 9 23:05:31 2015 matrix is 219814 x 219995 (67.4 MB) with weight 21411967 (97.33/col) Fri Jan 9 23:05:31 2015 sparse part has weight 15019564 (68.27/col) Fri Jan 9 23:05:31 2015 saving the first 48 matrix rows for later Fri Jan 9 23:05:31 2015 matrix includes 64 packed rows Fri Jan 9 23:05:31 2015 matrix is 219766 x 219995 (64.5 MB) with weight 17078380 (77.63/col) Fri Jan 9 23:05:31 2015 sparse part has weight 14709475 (66.86/col) Fri Jan 9 23:05:31 2015 using block size 65536 for processor cache size 8192 kB Fri Jan 9 23:05:31 2015 commencing Lanczos iteration (8 threads) Fri Jan 9 23:05:31 2015 memory use: 60.3 MB Fri Jan 9 23:05:36 2015 linear algebra at 5.5%, ETA 0h 1m Fri Jan 9 23:06:49 2015 lanczos halted after 3477 iterations (dim = 219765) Fri Jan 9 23:06:49 2015 recovered 32 nontrivial dependencies Fri Jan 9 23:06:49 2015 BLanczosTime: 91 Fri Jan 9 23:06:49 2015 Fri Jan 9 23:06:49 2015 commencing square root phase Fri Jan 9 23:06:49 2015 reading relations for dependency 1 Fri Jan 9 23:06:49 2015 read 109931 cycles Fri Jan 9 23:06:49 2015 cycles contain 412724 unique relations Fri Jan 9 23:06:53 2015 read 412724 relations Fri Jan 9 23:06:54 2015 multiplying 412724 relations Fri Jan 9 23:07:01 2015 multiply complete, coefficients have about 17.98 million bits Fri Jan 9 23:07:01 2015 initial square root is modulo 146519 Fri Jan 9 23:07:11 2015 sqrtTime: 22 -- n: 51034927251648349031770528766118928768995789026654115180264833995518739052787454960744695293468087 skew: 541958.93 c0: 268991950730203128839368634 c1: -4887019625083344219479 c2: 9764316767598926 c3: 24794746164 c4: 15480 Y0: -239620551235023799458689 Y1: 100610312747 rlim: 1680000 alim: 1680000 lpbr: 26 lpba: 26 mfbr: 52 mfba: 52 rlambda: 2.5 alambda: 2.5
software ソフトウェア	yafu v1.34.3
execution environment 実行環境	Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	0		-	-
35	1e6	118 / 904		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

673×10¹⁵⁶-79

c138

name 名前	Cyp
date 日付	January 15, 2015 16:27:31 UTC 2015 年 1 月 16 日 (金) 1 時 27 分 31 秒 (日本時間)
composite number 合成数	862575988739336179782467108812414752700958602357311332166685685432741157787297617140663804823601675481669648699603431678109501743842386017<138>
prime factors 素因数	361471701791368272054629577064271304413<39> 2386289118801315744531562074960027046321945253607067916737884504697806981217752438920004363962785109<100>
factorization results 素因数分解の結果	01/15/15 13:28:43 v1.34.3, 01/15/15 13:28:43 v1.34.3, ************************** 01/15/15 13:28:43 v1.34.3, Starting factorization of 862575988739336179782467108812414752700958602357311332166685685432741157787297617140663804823601675481669648699603431678109501743842386017 01/15/15 13:28:43 v1.34.3, using pretesting plan: none 01/15/15 13:28:43 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 01/15/15 13:28:43 v1.34.3, ************************** 01/15/15 13:28:43 v1.34.3, nfs: commencing nfs on c138: 862575988739336179782467108812414752700958602357311332166685685432741157787297617140663804823601675481669648699603431678109501743842386017 01/15/15 13:28:43 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq 01/15/15 13:28:43 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/15/15 13:29:58 v1.34.3, nfs: commencing lattice sieving with 8 threads [166 lines snipped] 01/15/15 17:13:10 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/15/15 17:14:30 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/15/15 17:15:49 v1.34.3, nfs: commencing msieve filtering 01/15/15 17:17:33 v1.34.3, nfs: commencing msieve linear algebra 01/15/15 17:26:37 v1.34.3, nfs: commencing msieve sqrt 01/15/15 17:27:30 v1.34.3, prp100 = 2386289118801315744531562074960027046321945253607067916737884504697806981217752438920004363962785109 01/15/15 17:27:30 v1.34.3, prp39 = 361471701791368272054629577064271304413 01/15/15 17:27:30 v1.34.3, NFS elapsed time = 14326.7049 seconds. 01/15/15 17:27:30 v1.34.3, 01/15/15 17:27:30 v1.34.3, 01/15/15 17:27:30 v1.34.3, Total factoring time = 14326.7059 seconds -- Thu Jan 15 17:15:49 2015 Thu Jan 15 17:15:49 2015 commencing relation filtering Thu Jan 15 17:15:49 2015 estimated available RAM is 15987.3 MB Thu Jan 15 17:15:49 2015 commencing duplicate removal, pass 1 Thu Jan 15 17:16:16 2015 found 1918600 hash collisions in 10050303 relations Thu Jan 15 17:16:24 2015 added 354254 free relations Thu Jan 15 17:16:24 2015 commencing duplicate removal, pass 2 Thu Jan 15 17:16:32 2015 found 1700294 duplicates and 8704263 unique relations Thu Jan 15 17:16:32 2015 memory use: 45.3 MB Thu Jan 15 17:16:32 2015 reading ideals above 100000 Thu Jan 15 17:16:32 2015 commencing singleton removal, initial pass Thu Jan 15 17:17:09 2015 memory use: 188.2 MB Thu Jan 15 17:17:09 2015 reading all ideals from disk Thu Jan 15 17:17:09 2015 memory use: 300.3 MB Thu Jan 15 17:17:10 2015 keeping 9455286 ideals with weight <= 200, target excess is 45198 Thu Jan 15 17:17:10 2015 commencing in-memory singleton removal Thu Jan 15 17:17:11 2015 begin with 8704263 relations and 9455286 unique ideals Thu Jan 15 17:17:13 2015 reduce to 3728833 relations and 3271547 ideals in 12 passes Thu Jan 15 17:17:13 2015 max relations containing the same ideal: 116 Thu Jan 15 17:17:14 2015 removing 866643 relations and 664215 ideals in 202428 cliques Thu Jan 15 17:17:14 2015 commencing in-memory singleton removal Thu Jan 15 17:17:14 2015 begin with 2862190 relations and 3271547 unique ideals Thu Jan 15 17:17:15 2015 reduce to 2712279 relations and 2447150 ideals in 8 passes Thu Jan 15 17:17:15 2015 max relations containing the same ideal: 94 Thu Jan 15 17:17:16 2015 removing 698827 relations and 496399 ideals in 202428 cliques Thu Jan 15 17:17:16 2015 commencing in-memory singleton removal Thu Jan 15 17:17:16 2015 begin with 2013452 relations and 2447150 unique ideals Thu Jan 15 17:17:17 2015 reduce to 1894099 relations and 1822390 ideals in 9 passes Thu Jan 15 17:17:17 2015 max relations containing the same ideal: 74 Thu Jan 15 17:17:17 2015 removing 106172 relations and 86893 ideals in 19279 cliques Thu Jan 15 17:17:17 2015 commencing in-memory singleton removal Thu Jan 15 17:17:17 2015 begin with 1787927 relations and 1822390 unique ideals Thu Jan 15 17:17:17 2015 reduce to 1784534 relations and 1732078 ideals in 5 passes Thu Jan 15 17:17:17 2015 max relations containing the same ideal: 69 Thu Jan 15 17:17:18 2015 relations with 0 large ideals: 1026 Thu Jan 15 17:17:18 2015 relations with 1 large ideals: 467 Thu Jan 15 17:17:18 2015 relations with 2 large ideals: 7454 Thu Jan 15 17:17:18 2015 relations with 3 large ideals: 53831 Thu Jan 15 17:17:18 2015 relations with 4 large ideals: 199315 Thu Jan 15 17:17:18 2015 relations with 5 large ideals: 418012 Thu Jan 15 17:17:18 2015 relations with 6 large ideals: 532632 Thu Jan 15 17:17:18 2015 relations with 7+ large ideals: 571797 Thu Jan 15 17:17:18 2015 commencing 2-way merge Thu Jan 15 17:17:18 2015 reduce to 1128959 relation sets and 1076503 unique ideals Thu Jan 15 17:17:18 2015 commencing full merge Thu Jan 15 17:17:29 2015 memory use: 136.4 MB Thu Jan 15 17:17:29 2015 found 583623 cycles, need 576703 Thu Jan 15 17:17:29 2015 weight of 576703 cycles is about 40534390 (70.29/cycle) Thu Jan 15 17:17:29 2015 distribution of cycle lengths: Thu Jan 15 17:17:29 2015 1 relations: 42290 Thu Jan 15 17:17:29 2015 2 relations: 57678 Thu Jan 15 17:17:29 2015 3 relations: 63430 Thu Jan 15 17:17:29 2015 4 relations: 62166 Thu Jan 15 17:17:29 2015 5 relations: 59763 Thu Jan 15 17:17:29 2015 6 relations: 54297 Thu Jan 15 17:17:29 2015 7 relations: 48775 Thu Jan 15 17:17:29 2015 8 relations: 41916 Thu Jan 15 17:17:29 2015 9 relations: 35215 Thu Jan 15 17:17:29 2015 10+ relations: 111173 Thu Jan 15 17:17:29 2015 heaviest cycle: 20 relations Thu Jan 15 17:17:29 2015 commencing cycle optimization Thu Jan 15 17:17:29 2015 start with 3575081 relations Thu Jan 15 17:17:33 2015 pruned 101409 relations Thu Jan 15 17:17:33 2015 memory use: 111.0 MB Thu Jan 15 17:17:33 2015 distribution of cycle lengths: Thu Jan 15 17:17:33 2015 1 relations: 42290 Thu Jan 15 17:17:33 2015 2 relations: 58939 Thu Jan 15 17:17:33 2015 3 relations: 65674 Thu Jan 15 17:17:33 2015 4 relations: 64083 Thu Jan 15 17:17:33 2015 5 relations: 61645 Thu Jan 15 17:17:33 2015 6 relations: 55784 Thu Jan 15 17:17:33 2015 7 relations: 49959 Thu Jan 15 17:17:33 2015 8 relations: 42304 Thu Jan 15 17:17:33 2015 9 relations: 35003 Thu Jan 15 17:17:33 2015 10+ relations: 101022 Thu Jan 15 17:17:33 2015 heaviest cycle: 20 relations Thu Jan 15 17:17:33 2015 RelProcTime: 104 Thu Jan 15 17:17:33 2015 Thu Jan 15 17:17:33 2015 commencing linear algebra Thu Jan 15 17:17:33 2015 read 576703 cycles Thu Jan 15 17:17:34 2015 cycles contain 1754340 unique relations Thu Jan 15 17:17:45 2015 read 1754340 relations Thu Jan 15 17:17:46 2015 using 20 quadratic characters above 134213268 Thu Jan 15 17:17:52 2015 building initial matrix Thu Jan 15 17:18:01 2015 memory use: 214.3 MB Thu Jan 15 17:18:02 2015 read 576703 cycles Thu Jan 15 17:18:02 2015 matrix is 576526 x 576703 (172.4 MB) with weight 51824894 (89.86/col) Thu Jan 15 17:18:02 2015 sparse part has weight 38854864 (67.37/col) Thu Jan 15 17:18:04 2015 filtering completed in 2 passes Thu Jan 15 17:18:04 2015 matrix is 576441 x 576618 (172.4 MB) with weight 51822064 (89.87/col) Thu Jan 15 17:18:04 2015 sparse part has weight 38854004 (67.38/col) Thu Jan 15 17:18:05 2015 matrix starts at (0, 0) Thu Jan 15 17:18:05 2015 matrix is 576441 x 576618 (172.4 MB) with weight 51822064 (89.87/col) Thu Jan 15 17:18:05 2015 sparse part has weight 38854004 (67.38/col) Thu Jan 15 17:18:05 2015 saving the first 48 matrix rows for later Thu Jan 15 17:18:05 2015 matrix includes 64 packed rows Thu Jan 15 17:18:05 2015 matrix is 576393 x 576618 (163.2 MB) with weight 40816363 (70.79/col) Thu Jan 15 17:18:05 2015 sparse part has weight 37018135 (64.20/col) Thu Jan 15 17:18:05 2015 using block size 65536 for processor cache size 8192 kB Thu Jan 15 17:18:06 2015 commencing Lanczos iteration (8 threads) Thu Jan 15 17:18:06 2015 memory use: 158.1 MB Thu Jan 15 17:18:09 2015 linear algebra at 0.5%, ETA 0h 9m Thu Jan 15 17:26:37 2015 lanczos halted after 9117 iterations (dim = 576391) Thu Jan 15 17:26:37 2015 recovered 37 nontrivial dependencies Thu Jan 15 17:26:37 2015 BLanczosTime: 544 Thu Jan 15 17:26:37 2015 Thu Jan 15 17:26:37 2015 commencing square root phase Thu Jan 15 17:26:37 2015 reading relations for dependency 1 Thu Jan 15 17:26:37 2015 read 288100 cycles Thu Jan 15 17:26:37 2015 cycles contain 876068 unique relations Thu Jan 15 17:26:45 2015 read 876068 relations Thu Jan 15 17:26:47 2015 multiplying 876068 relations Thu Jan 15 17:27:05 2015 multiply complete, coefficients have about 28.46 million bits Thu Jan 15 17:27:05 2015 initial square root is modulo 148649551 Thu Jan 15 17:27:30 2015 sqrtTime: 53 -- n: 862575988739336179782467108812414752700958602357311332166685685432741157787297617140663804823601675481669648699603431678109501743842386017 m: 10000000000000000000000000000000 deg: 5 c5: 6730 c0: -7 skew: 0.25 # Murphy_E = 4.544e-10 type: snfs lss: 1 rlim: 3100000 alim: 3100000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4
software ソフトウェア	yafu v1.34.3
execution environment 実行環境	Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	300 / 2318		Serge Batalov	January 9, 2015 00:02:31 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 31 秒 (日本時間)

673×10¹⁵⁷-79

c112

name 名前	Cyp
date 日付	January 10, 2015 17:05:30 UTC 2015 年 1 月 11 日 (日) 2 時 5 分 30 秒 (日本時間)
composite number 合成数	2610225555138899215608808902555638216635547170842372412707862382072086217094304911925897591750068036939514617283<112>
prime factors 素因数	2782511832753183191631188595098050247141288672182951<52> 938082463626465999387483954742609018948843246336690782124933<60>
factorization results 素因数分解の結果	01/10/15 15:58:10 v1.34.3, 01/10/15 15:58:10 v1.34.3, ************************** 01/10/15 15:58:10 v1.34.3, Starting factorization of 2610225555138899215608808902555638216635547170842372412707862382072086217094304911925897591750068036939514617283 01/10/15 15:58:10 v1.34.3, using pretesting plan: none 01/10/15 15:58:10 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 01/10/15 15:58:10 v1.34.3, ************************** 01/10/15 15:58:10 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C112 01/10/15 15:58:10 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C112 01/10/15 15:58:10 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C112 01/10/15 15:58:10 v1.34.3, final ECM pretested depth: 0.00 01/10/15 15:58:10 v1.34.3, scheduler: switching to sieve method 01/10/15 15:58:10 v1.34.3, nfs: commencing nfs on c112: 2610225555138899215608808902555638216635547170842372412707862382072086217094304911925897591750068036939514617283 01/10/15 15:58:10 v1.34.3, nfs: commencing poly selection with 8 threads 01/10/15 15:58:10 v1.34.3, nfs: setting deadline of 600 seconds 01/10/15 16:08:06 v1.34.3, nfs: completed 145 ranges of size 250 in 595.8208 seconds 01/10/15 16:08:06 v1.34.3, nfs: best poly = # norm 1.373838e-10 alpha -6.415717 e 8.281e-10 rroots 3 01/10/15 16:08:06 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/10/15 16:13:24 v1.34.3, nfs: commencing lattice sieving with 8 threads [12 lines snipped] 01/10/15 17:21:59 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/10/15 17:27:21 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/10/15 17:32:41 v1.34.3, nfs: commencing msieve filtering 01/10/15 17:33:25 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/10/15 17:38:40 v1.34.3, nfs: commencing msieve filtering 01/10/15 17:39:27 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/10/15 17:44:47 v1.34.3, nfs: commencing msieve filtering 01/10/15 17:45:38 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/10/15 17:51:01 v1.34.3, nfs: commencing msieve filtering 01/10/15 17:51:55 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/10/15 17:57:29 v1.34.3, nfs: commencing msieve filtering 01/10/15 17:58:40 v1.34.3, nfs: commencing msieve linear algebra 01/10/15 18:04:27 v1.34.3, nfs: commencing msieve sqrt 01/10/15 18:05:29 v1.34.3, prp52 = 2782511832753183191631188595098050247141288672182951 01/10/15 18:05:29 v1.34.3, prp60 = 938082463626465999387483954742609018948843246336690782124933 01/10/15 18:05:29 v1.34.3, NFS elapsed time = 7638.6606 seconds. 01/10/15 18:05:29 v1.34.3, 01/10/15 18:05:29 v1.34.3, 01/10/15 18:05:29 v1.34.3, Total factoring time = 7638.6878 seconds -- Sat Jan 10 17:32:41 2015 Sat Jan 10 17:32:41 2015 commencing relation filtering Sat Jan 10 17:32:41 2015 estimated available RAM is 15987.3 MB Sat Jan 10 17:32:41 2015 commencing duplicate removal, pass 1 Sat Jan 10 17:32:55 2015 found 420144 hash collisions in 4549821 relations Sat Jan 10 17:33:00 2015 added 32553 free relations Sat Jan 10 17:33:00 2015 commencing duplicate removal, pass 2 Sat Jan 10 17:33:04 2015 found 181482 duplicates and 4400892 unique relations Sat Jan 10 17:33:04 2015 memory use: 19.6 MB Sat Jan 10 17:33:04 2015 reading ideals above 100000 Sat Jan 10 17:33:04 2015 commencing singleton removal, initial pass Sat Jan 10 17:33:24 2015 memory use: 172.2 MB Sat Jan 10 17:33:24 2015 reading all ideals from disk Sat Jan 10 17:33:24 2015 memory use: 149.5 MB Sat Jan 10 17:33:24 2015 keeping 5417963 ideals with weight <= 200, target excess is 24213 Sat Jan 10 17:33:24 2015 commencing in-memory singleton removal Sat Jan 10 17:33:25 2015 begin with 4400892 relations and 5417963 unique ideals Sat Jan 10 17:33:25 2015 reduce to 83 relations and 0 ideals in 25 passes Sat Jan 10 17:33:25 2015 max relations containing the same ideal: 0 Sat Jan 10 17:38:40 2015 Sat Jan 10 17:38:40 2015 commencing relation filtering Sat Jan 10 17:38:40 2015 estimated available RAM is 15987.3 MB Sat Jan 10 17:38:40 2015 commencing duplicate removal, pass 1 Sat Jan 10 17:38:55 2015 found 472184 hash collisions in 4863891 relations Sat Jan 10 17:39:00 2015 added 46 free relations Sat Jan 10 17:39:00 2015 commencing duplicate removal, pass 2 Sat Jan 10 17:39:04 2015 found 202843 duplicates and 4661094 unique relations Sat Jan 10 17:39:04 2015 memory use: 20.6 MB Sat Jan 10 17:39:04 2015 reading ideals above 100000 Sat Jan 10 17:39:04 2015 commencing singleton removal, initial pass Sat Jan 10 17:39:25 2015 memory use: 172.2 MB Sat Jan 10 17:39:25 2015 reading all ideals from disk Sat Jan 10 17:39:25 2015 memory use: 158.4 MB Sat Jan 10 17:39:25 2015 keeping 5545987 ideals with weight <= 200, target excess is 25145 Sat Jan 10 17:39:26 2015 commencing in-memory singleton removal Sat Jan 10 17:39:26 2015 begin with 4661094 relations and 5545987 unique ideals Sat Jan 10 17:39:27 2015 reduce to 1012030 relations and 1162178 ideals in 33 passes Sat Jan 10 17:39:27 2015 max relations containing the same ideal: 70 Sat Jan 10 17:44:47 2015 Sat Jan 10 17:44:47 2015 commencing relation filtering Sat Jan 10 17:44:47 2015 estimated available RAM is 15987.3 MB Sat Jan 10 17:44:47 2015 commencing duplicate removal, pass 1 Sat Jan 10 17:45:03 2015 found 522292 hash collisions in 5143764 relations Sat Jan 10 17:45:08 2015 added 53 free relations Sat Jan 10 17:45:08 2015 commencing duplicate removal, pass 2 Sat Jan 10 17:45:13 2015 found 225255 duplicates and 4918562 unique relations Sat Jan 10 17:45:13 2015 memory use: 20.6 MB Sat Jan 10 17:45:13 2015 reading ideals above 100000 Sat Jan 10 17:45:13 2015 commencing singleton removal, initial pass Sat Jan 10 17:45:35 2015 memory use: 172.2 MB Sat Jan 10 17:45:36 2015 reading all ideals from disk Sat Jan 10 17:45:36 2015 memory use: 167.2 MB Sat Jan 10 17:45:36 2015 keeping 5664589 ideals with weight <= 200, target excess is 26152 Sat Jan 10 17:45:36 2015 commencing in-memory singleton removal Sat Jan 10 17:45:36 2015 begin with 4918562 relations and 5664589 unique ideals Sat Jan 10 17:45:38 2015 reduce to 1443615 relations and 1528404 ideals in 27 passes Sat Jan 10 17:45:38 2015 max relations containing the same ideal: 86 Sat Jan 10 17:51:01 2015 Sat Jan 10 17:51:01 2015 commencing relation filtering Sat Jan 10 17:51:01 2015 estimated available RAM is 15987.3 MB Sat Jan 10 17:51:01 2015 commencing duplicate removal, pass 1 Sat Jan 10 17:51:19 2015 found 574445 hash collisions in 5425153 relations Sat Jan 10 17:51:24 2015 added 47 free relations Sat Jan 10 17:51:24 2015 commencing duplicate removal, pass 2 Sat Jan 10 17:51:28 2015 found 248678 duplicates and 5176522 unique relations Sat Jan 10 17:51:28 2015 memory use: 20.6 MB Sat Jan 10 17:51:28 2015 reading ideals above 100000 Sat Jan 10 17:51:28 2015 commencing singleton removal, initial pass Sat Jan 10 17:51:51 2015 memory use: 172.2 MB Sat Jan 10 17:51:52 2015 reading all ideals from disk Sat Jan 10 17:51:52 2015 memory use: 176.0 MB Sat Jan 10 17:51:52 2015 keeping 5775631 ideals with weight <= 200, target excess is 27286 Sat Jan 10 17:51:52 2015 commencing in-memory singleton removal Sat Jan 10 17:51:53 2015 begin with 5176522 relations and 5775631 unique ideals Sat Jan 10 17:51:54 2015 reduce to 1832881 relations and 1834508 ideals in 21 passes Sat Jan 10 17:51:54 2015 max relations containing the same ideal: 97 Sat Jan 10 17:57:29 2015 Sat Jan 10 17:57:29 2015 commencing relation filtering Sat Jan 10 17:57:29 2015 estimated available RAM is 15987.3 MB Sat Jan 10 17:57:29 2015 commencing duplicate removal, pass 1 Sat Jan 10 17:57:48 2015 found 631301 hash collisions in 5720574 relations Sat Jan 10 17:57:53 2015 added 36 free relations Sat Jan 10 17:57:53 2015 commencing duplicate removal, pass 2 Sat Jan 10 17:57:57 2015 found 274313 duplicates and 5446297 unique relations Sat Jan 10 17:57:57 2015 memory use: 20.6 MB Sat Jan 10 17:57:57 2015 reading ideals above 100000 Sat Jan 10 17:57:57 2015 commencing singleton removal, initial pass Sat Jan 10 17:58:22 2015 memory use: 172.2 MB Sat Jan 10 17:58:22 2015 reading all ideals from disk Sat Jan 10 17:58:22 2015 memory use: 185.2 MB Sat Jan 10 17:58:22 2015 keeping 5884658 ideals with weight <= 200, target excess is 28612 Sat Jan 10 17:58:23 2015 commencing in-memory singleton removal Sat Jan 10 17:58:23 2015 begin with 5446297 relations and 5884658 unique ideals Sat Jan 10 17:58:25 2015 reduce to 2218923 relations and 2118569 ideals in 17 passes Sat Jan 10 17:58:25 2015 max relations containing the same ideal: 111 Sat Jan 10 17:58:25 2015 removing 307261 relations and 273680 ideals in 33582 cliques Sat Jan 10 17:58:25 2015 commencing in-memory singleton removal Sat Jan 10 17:58:25 2015 begin with 1911662 relations and 2118569 unique ideals Sat Jan 10 17:58:26 2015 reduce to 1874733 relations and 1807162 ideals in 10 passes Sat Jan 10 17:58:26 2015 max relations containing the same ideal: 98 Sat Jan 10 17:58:26 2015 removing 229702 relations and 196120 ideals in 33582 cliques Sat Jan 10 17:58:27 2015 commencing in-memory singleton removal Sat Jan 10 17:58:27 2015 begin with 1645031 relations and 1807162 unique ideals Sat Jan 10 17:58:27 2015 reduce to 1620237 relations and 1585782 ideals in 8 passes Sat Jan 10 17:58:27 2015 max relations containing the same ideal: 90 Sat Jan 10 17:58:28 2015 relations with 0 large ideals: 87 Sat Jan 10 17:58:28 2015 relations with 1 large ideals: 167 Sat Jan 10 17:58:28 2015 relations with 2 large ideals: 2607 Sat Jan 10 17:58:28 2015 relations with 3 large ideals: 23568 Sat Jan 10 17:58:28 2015 relations with 4 large ideals: 112456 Sat Jan 10 17:58:28 2015 relations with 5 large ideals: 302366 Sat Jan 10 17:58:28 2015 relations with 6 large ideals: 470682 Sat Jan 10 17:58:28 2015 relations with 7+ large ideals: 708304 Sat Jan 10 17:58:28 2015 commencing 2-way merge Sat Jan 10 17:58:28 2015 reduce to 928132 relation sets and 893677 unique ideals Sat Jan 10 17:58:28 2015 commencing full merge Sat Jan 10 17:58:36 2015 memory use: 101.1 MB Sat Jan 10 17:58:36 2015 found 454508 cycles, need 449877 Sat Jan 10 17:58:37 2015 weight of 449877 cycles is about 31739238 (70.55/cycle) Sat Jan 10 17:58:37 2015 distribution of cycle lengths: Sat Jan 10 17:58:37 2015 1 relations: 51577 Sat Jan 10 17:58:37 2015 2 relations: 51069 Sat Jan 10 17:58:37 2015 3 relations: 50568 Sat Jan 10 17:58:37 2015 4 relations: 45396 Sat Jan 10 17:58:37 2015 5 relations: 40920 Sat Jan 10 17:58:37 2015 6 relations: 34879 Sat Jan 10 17:58:37 2015 7 relations: 30794 Sat Jan 10 17:58:37 2015 8 relations: 26251 Sat Jan 10 17:58:37 2015 9 relations: 22732 Sat Jan 10 17:58:37 2015 10+ relations: 95691 Sat Jan 10 17:58:37 2015 heaviest cycle: 24 relations Sat Jan 10 17:58:37 2015 commencing cycle optimization Sat Jan 10 17:58:37 2015 start with 2790123 relations Sat Jan 10 17:58:39 2015 pruned 58201 relations Sat Jan 10 17:58:39 2015 memory use: 93.5 MB Sat Jan 10 17:58:39 2015 distribution of cycle lengths: Sat Jan 10 17:58:39 2015 1 relations: 51577 Sat Jan 10 17:58:39 2015 2 relations: 52149 Sat Jan 10 17:58:39 2015 3 relations: 52117 Sat Jan 10 17:58:39 2015 4 relations: 46401 Sat Jan 10 17:58:39 2015 5 relations: 41633 Sat Jan 10 17:58:39 2015 6 relations: 35120 Sat Jan 10 17:58:39 2015 7 relations: 31045 Sat Jan 10 17:58:39 2015 8 relations: 26157 Sat Jan 10 17:58:39 2015 9 relations: 22680 Sat Jan 10 17:58:39 2015 10+ relations: 90998 Sat Jan 10 17:58:39 2015 heaviest cycle: 23 relations Sat Jan 10 17:58:40 2015 RelProcTime: 71 Sat Jan 10 17:58:40 2015 Sat Jan 10 17:58:40 2015 commencing linear algebra Sat Jan 10 17:58:40 2015 read 449877 cycles Sat Jan 10 17:58:40 2015 cycles contain 1573307 unique relations Sat Jan 10 17:58:48 2015 read 1573307 relations Sat Jan 10 17:58:49 2015 using 20 quadratic characters above 67108668 Sat Jan 10 17:58:54 2015 building initial matrix Sat Jan 10 17:59:02 2015 memory use: 197.6 MB Sat Jan 10 17:59:02 2015 read 449877 cycles Sat Jan 10 17:59:02 2015 matrix is 449706 x 449877 (135.3 MB) with weight 42904907 (95.37/col) Sat Jan 10 17:59:02 2015 sparse part has weight 30524507 (67.85/col) Sat Jan 10 17:59:04 2015 filtering completed in 2 passes Sat Jan 10 17:59:05 2015 matrix is 448927 x 449102 (135.2 MB) with weight 42872703 (95.46/col) Sat Jan 10 17:59:05 2015 sparse part has weight 30514805 (67.95/col) Sat Jan 10 17:59:05 2015 matrix starts at (0, 0) Sat Jan 10 17:59:05 2015 matrix is 448927 x 449102 (135.2 MB) with weight 42872703 (95.46/col) Sat Jan 10 17:59:05 2015 sparse part has weight 30514805 (67.95/col) Sat Jan 10 17:59:05 2015 saving the first 48 matrix rows for later Sat Jan 10 17:59:05 2015 matrix includes 64 packed rows Sat Jan 10 17:59:05 2015 matrix is 448879 x 449102 (130.6 MB) with weight 33990743 (75.69/col) Sat Jan 10 17:59:05 2015 sparse part has weight 29749311 (66.24/col) Sat Jan 10 17:59:05 2015 using block size 65536 for processor cache size 8192 kB Sat Jan 10 17:59:06 2015 commencing Lanczos iteration (8 threads) Sat Jan 10 17:59:06 2015 memory use: 124.2 MB Sat Jan 10 17:59:15 2015 linear algebra at 2.7%, ETA 0h 5m Sat Jan 10 18:04:27 2015 lanczos halted after 7100 iterations (dim = 448878) Sat Jan 10 18:04:27 2015 recovered 30 nontrivial dependencies Sat Jan 10 18:04:27 2015 BLanczosTime: 347 Sat Jan 10 18:04:27 2015 Sat Jan 10 18:04:27 2015 commencing square root phase Sat Jan 10 18:04:27 2015 reading relations for dependency 1 Sat Jan 10 18:04:27 2015 read 224367 cycles Sat Jan 10 18:04:27 2015 cycles contain 784664 unique relations Sat Jan 10 18:04:33 2015 read 784664 relations Sat Jan 10 18:04:35 2015 multiplying 784664 relations Sat Jan 10 18:04:58 2015 multiply complete, coefficients have about 33.21 million bits Sat Jan 10 18:04:58 2015 initial square root is modulo 58631 Sat Jan 10 18:05:29 2015 sqrtTime: 62 -- n: 2610225555138899215608808902555638216635547170842372412707862382072086217094304911925897591750068036939514617283 skew: 65570.14 c0: -2998340604886250091191132800 c1: 177802315444190324214680 c2: 212927785519441192 c3: -104988977306873 c4: -241368174 c5: 8280 Y0: -3160309654295616916947 Y1: 122020561703 rlim: 3720000 alim: 3720000 lpbr: 26 lpba: 26 mfbr: 52 mfba: 52 rlambda: 2.5 alambda: 2.5
software ソフトウェア	yafu v1.34.3
execution environment 実行環境	Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	418	118	Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
35	1e6	418	300	Ignacio Santos	January 9, 2015 23:38:52 UTC 2015 年 1 月 10 日 (土) 8 時 38 分 52 秒 (日本時間)
40	3e6	110 / 2126		Ignacio Santos	January 9, 2015 23:38:52 UTC 2015 年 1 月 10 日 (土) 8 時 38 分 52 秒 (日本時間)
45	11e6	32 / 4437		Ignacio Santos	January 9, 2015 23:38:52 UTC 2015 年 1 月 10 日 (土) 8 時 38 分 52 秒 (日本時間)

673×10¹⁵⁸-79

c116

name 名前	Ignacio Santos
date 日付	January 13, 2015 15:52:46 UTC 2015 年 1 月 14 日 (水) 0 時 52 分 46 秒 (日本時間)
composite number 合成数	33160013576918510953632691149304807185342250696869756969829537925908068728737148984373428526578361314146386192408643<116>
prime factors 素因数	11965388134608588614796820835555537900627<41> 2771327867000550102331264521160391452652258214939618566493585148904566589009<76>
factorization results 素因数分解の結果	Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:1390125708 Step 1 took 53359ms Step 2 took 33641ms ********** Factor found in step 2: 11965388134608588614796820835555537900627 Found probable prime factor of 41 digits: 11965388134608588614796820835555537900627 Probable prime cofactor 2771327867000550102331264521160391452652258214939618566493585148904566589009 has 76 digits
software ソフトウェア	GMP-ECM 7.0

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	0		-	-
35	1e6	118 / 904		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

673×10¹⁶⁴-79

c124

name 名前	Jo Yeong Uk
date 日付	February 22, 2015 02:26:12 UTC 2015 年 2 月 22 日 (日) 11 時 26 分 12 秒 (日本時間)
composite number 合成数	5278286949987537170655847304798942025774911399089362792903282543936496218526922939409872977439334852379791376853831116718843<124>
prime factors 素因数	1528580250536383528067311111174608512397400381982339435041<58> 3453064991606014789091049072930890046291710247713574602715308736923<67>
factorization results 素因数分解の結果	Number: 74777_164 N=5278286949987537170655847304798942025774911399089362792903282543936496218526922939409872977439334852379791376853831116718843 ( 124 digits) SNFS difficulty: 167 digits. Divisors found: r1=1528580250536383528067311111174608512397400381982339435041 r2=3453064991606014789091049072930890046291710247713574602715308736923 Version: Total time: 21.63 hours. Scaled time: 112.62 units (timescale=5.207). Factorization parameters were as follows: n: 5278286949987537170655847304798942025774911399089362792903282543936496218526922939409872977439334852379791376853831116718843 m: 1000000000000000000000000000000000 deg: 5 c5: 673 c0: -70 skew: 0.64 # Murphy_E = 2.166e-10 type: snfs lss: 1 rlim: 4400000 alim: 4400000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4 Factor base limits: 4400000/4400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved rational special-q in [2200000, 5300001) Primes: rational ideals reading, algebraic ideals reading, Relations: 10387200 Max relations in full relation-set: Initial matrix: Pruned matrix : 839027 x 839275 Total sieving time: 20.11 hours. Total relation processing time: 0.77 hours. Matrix solve time: 0.68 hours. Time per square root: 0.06 hours. Prototype def-par.txt line would be: snfs,167,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,51,51,2.4,2.4,100000 total time: 21.63 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04 Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.42 BogoMIPS (lpj=3400210) Total of 12 processors activated (81605.04 BogoMIPS).
software ソフトウェア	GGNFS / Msieve v1.39
execution environment 実行環境	Core i7-4930K

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	118	Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	300	Serge Batalov	January 9, 2015 00:02:31 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 31 秒 (日本時間)
45	11e6	590 / 4409	Pierre Jammes	January 15, 2015 20:52:53 UTC 2015 年 1 月 16 日 (金) 5 時 52 分 53 秒 (日本時間)

673×10¹⁶⁶-79

c143

name 名前	Ignacio Santos
date 日付	February 18, 2015 18:35:24 UTC 2015 年 2 月 19 日 (木) 3 時 35 分 24 秒 (日本時間)
composite number 合成数	60731744752150256870380814190990442213992861024026580326156117175657772227614325745540811497203274058957427002257895704970028867437398434126361<143>
prime factors 素因数	329637305831432917799825863526522591317<39> 184238081302626386182524504299483863631739258969962569706412336316723367233393224859463303116650683223733<105>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:731618584 Step 1 took 10140ms Step 2 took 6516ms ********** Factor found in step 2: 329637305831432917799825863526522591317 Found probable prime factor of 39 digits: 329637305831432917799825863526522591317 Probable prime cofactor 184238081302626386182524504299483863631739258969962569706412336316723367233393224859463303116650683223733 has 105 digits
software ソフトウェア	GMP-ECM 7.0

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	300 / 2318		Serge Batalov	January 9, 2015 00:02:32 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 32 秒 (日本時間)

673×10¹⁶⁸-79

c159

name 名前	Jo Yeong Uk
date 日付	March 26, 2015 13:10:33 UTC 2015 年 3 月 26 日 (木) 22 時 10 分 33 秒 (日本時間)
composite number 合成数	650766230133609614938462551515986080216165761987428250383088593842462720884749373686770512919118494365036961725771298305288707627352046714198648960124367217373<159>
prime factors 素因数	817353255523163971042085470602718189292011<42> 796187236957994543446813888830434520533666607232280701359772403369635192040252581854691848350892727963562278008441943<117>
factorization results 素因数分解の結果	GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM] Input number is 650766230133609614938462551515986080216165761987428250383088593842462720884749373686770512919118494365036961725771298305288707627352046714198648960124367217373 (159 digits) Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2579959433 Step 1 took 30004ms Step 2 took 9766ms ********** Factor found in step 2: 817353255523163971042085470602718189292011 Found probable prime factor of 42 digits: 817353255523163971042085470602718189292011 Probable prime cofactor 796187236957994543446813888830434520533666607232280701359772403369635192040252581854691848350892727963562278008441943 has 117 digits
execution environment 実行環境	Core i7-4930K

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	2650	300	Serge Batalov	January 9, 2015 00:02:33 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 33 秒 (日本時間)
40	3e6	2650	2350	Ignacio Santos	February 12, 2015 23:16:26 UTC 2015 年 2 月 13 日 (金) 8 時 16 分 26 秒 (日本時間)

673×10¹⁷⁵-79

c163

name 名前	Serge Batalov
date 日付	January 9, 2015 03:48:21 UTC 2015 年 1 月 9 日 (金) 12 時 48 分 21 秒 (日本時間)
composite number 合成数	7370264122772917509179781279321460793727855974688460444492611716642042694308211771540146819284007643016870404156016851441104079458556951864805915437293564901416263<163>
prime factors 素因数	596943877053519589069743764813<30> 12346661731672522452085620308746596764172795839848715618249627070097861341383652657297365211870576957373212618886218272340274917671651<134>
factorization results 素因数分解の結果	Input number is 7370264122772917509179781279321460793727855974688460444492611716642042694308211771540146819284007643016870404156016851441104079458556951864805915437293564901416263 (163 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1768322591 Step 1 took 11735ms Step 2 took 9811ms ********** Factor found in step 2: 596943877053519589069743764813 Found probable prime factor of 30 digits: 596943877053519589069743764813 Probable prime cofactor 12346661731672522452085620308746596764172795839848715618249627070097861341383652657297365211870576957373212618886218272340274917671651 has 134 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	300 / 2318		Serge Batalov	January 9, 2015 00:02:33 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 33 秒 (日本時間)

673×10¹⁷⁶-79

c149

name 名前	Serge Batalov
date 日付	January 9, 2015 03:48:25 UTC 2015 年 1 月 9 日 (金) 12 時 48 分 25 秒 (日本時間)
composite number 合成数	58615200211632224465258305544780938382489978872283778514518712246027887200028269634933334610998744555254901955375642264235969501211604259989003272753<149>
prime factors 素因数	3749445106902426988684413245520751<34> 15633033299707829700547644835985438294757246107656967928513735831674390120328164390663873363727832693906319117585503<116>
factorization results 素因数分解の結果	Input number is 58615200211632224465258305544780938382489978872283778514518712246027887200028269634933334610998744555254901955375642264235969501211604259989003272753 (149 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1787639139 Step 1 took 9223ms Step 2 took 7774ms ********** Factor found in step 2: 3749445106902426988684413245520751 Found probable prime factor of 34 digits: 3749445106902426988684413245520751 Probable prime cofactor 15633033299707829700547644835985438294757246107656967928513735831674390120328164390663873363727832693906319117585503 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	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	300 / 2318		Serge Batalov	January 9, 2015 00:02:34 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 34 秒 (日本時間)

673×10¹⁷⁷-79

c140

name 名前	Jo Yeong Uk
date 日付	October 29, 2015 23:09:53 UTC 2015 年 10 月 30 日 (金) 8 時 9 分 53 秒 (日本時間)
composite number 合成数	71061759019925017168683552976623595896116488280201320587185639944810637293439385109444596709199449935605403775646634068552468075630233103149<140>
prime factors 素因数	48555655334894262496828970990800012522817441983277928507659946497<65> 1463511480378617470851625246652138175550127497800785336830280943977401379117<76>
factorization results 素因数分解の結果	Number: 74777_177 N=71061759019925017168683552976623595896116488280201320587185639944810637293439385109444596709199449935605403775646634068552468075630233103149 ( 140 digits) SNFS difficulty: 179 digits. Divisors found: r1=48555655334894262496828970990800012522817441983277928507659946497 r2=1463511480378617470851625246652138175550127497800785336830280943977401379117 Version: Total time: 62.90 hours. Scaled time: 330.73 units (timescale=5.258). Factorization parameters were as follows: n: 71061759019925017168683552976623595896116488280201320587185639944810637293439385109444596709199449935605403775646634068552468075630233103149 m: 100000000000000000000000000000000000 deg: 5 c5: 67300 c0: -7 skew: 0.16 # Murphy_E = 6.783e-11 type: snfs lss: 1 rlim: 10000000 alim: 10000000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 10000000/10000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved rational special-q in [5000000, 11500001) Primes: rational ideals reading, algebraic ideals reading, Relations: 19312548 Max relations in full relation-set: Initial matrix: Pruned matrix : 1664295 x 1664542 Total sieving time: 55.95 hours. Total relation processing time: 3.18 hours. Matrix solve time: 3.61 hours. Time per square root: 0.16 hours. Prototype def-par.txt line would be: snfs,179,5,0,0,0,0,0,0,0,0,10000000,10000000,28,28,53,53,2.5,2.5,100000 total time: 62.90 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04 Memory: 49365480k/51380224k available (5395k kernel code, 1086460k absent, 928284k reserved, 7013k data, 1296k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.95 BogoMIPS (lpj=3399977) Total of 12 processors activated (81599.44 BogoMIPS).
software ソフトウェア	GGNFS / Msieve v1.39
execution environment 実行環境	Core i7-4930K

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	2412	300	Serge Batalov	January 9, 2015 00:02:34 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 34 秒 (日本時間)
			1792	Youcef Lemsafer	January 20, 2015 07:21:26 UTC 2015 年 1 月 20 日 (火) 16 時 21 分 26 秒 (日本時間)
			320	Youcef Lemsafer	January 20, 2015 07:53:30 UTC 2015 年 1 月 20 日 (火) 16 時 53 分 30 秒 (日本時間)

673×10¹⁷⁸-79

c136

name 名前	Jo Yeong Uk
date 日付	November 27, 2015 00:23:33 UTC 2015 年 11 月 27 日 (金) 9 時 23 分 33 秒 (日本時間)
composite number 合成数	8255567555208171520036280483764063604180595400359893297934148796463812877996551696814638319281728280103941785542703762143295625272399273<136>
prime factors 素因数	1183998933485458574187560560059450509135191730226414018129659<61> 6972614013177709732647896667468458245504625285877307356440583247231045016747<76>
factorization results 素因数分解の結果	Number: 74777_178 N=8255567555208171520036280483764063604180595400359893297934148796463812877996551696814638319281728280103941785542703762143295625272399273 ( 136 digits) SNFS difficulty: 181 digits. Divisors found: r1=1183998933485458574187560560059450509135191730226414018129659 r2=6972614013177709732647896667468458245504625285877307356440583247231045016747 Version: Total time: 80.20 hours. Scaled time: 418.26 units (timescale=5.215). Factorization parameters were as follows: n: 8255567555208171520036280483764063604180595400359893297934148796463812877996551696814638319281728280103941785542703762143295625272399273 m: 200000000000000000000000000000000000 deg: 5 c5: 84125 c0: -28 skew: 0.20 # Murphy_E = 5.197e-11 type: snfs lss: 1 rlim: 5800000 alim: 5800000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 5800000/5800000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved rational special-q in [2900000, 6800001) Primes: rational ideals reading, algebraic ideals reading, Relations: 18796982 Max relations in full relation-set: Initial matrix: Pruned matrix : 1472006 x 1472254 Total sieving time: 75.56 hours. Total relation processing time: 1.89 hours. Matrix solve time: 2.62 hours. Time per square root: 0.14 hours. Prototype def-par.txt line would be: snfs,181,5,0,0,0,0,0,0,0,0,5800000,5800000,28,28,53,53,2.5,2.5,100000 total time: 80.20 hours. --------- CPU info (if available) ----------
software ソフトウェア	GGNFS / Msieve v1.39
execution environment 実行環境	Core i7-4930K

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	300		Serge Batalov	January 9, 2015 00:02:35 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 35 秒 (日本時間)
45	11e6	585 / 4409	560	Cyp	May 13, 2015 18:43:46 UTC 2015 年 5 月 14 日 (木) 3 時 43 分 46 秒 (日本時間)
45	11e6	585 / 4409	25	KTakahashi	May 13, 2015 21:14:13 UTC 2015 年 5 月 14 日 (木) 6 時 14 分 13 秒 (日本時間)

673×10¹⁷⁹-79

c179

name 名前	Cyp
date 日付	February 21, 2015 10:14:52 UTC 2015 年 2 月 21 日 (土) 19 時 14 分 52 秒 (日本時間)
composite number 合成数	66175024582104228121927236971484759095378564405113077679449360865290068829891838741396263520157325467059980334316617502458210422812192723697148475909537856440511307767944936086529<179>
prime factors 素因数	722724600377361333363332679853831398891830121519917151336701708050627771039<75> 91563265658249064866519446992217493519230111604845005032041139562713871385028921231030666973552574530911<104>
factorization results 素因数分解の結果	02/20/15 08:35:59 v1.34.3, 02/20/15 08:35:59 v1.34.3, ************************** 02/20/15 08:35:59 v1.34.3, Starting factorization of 66175024582104228121927236971484759095378564405113077679449360865290068829891838741396263520157325467059980334316617502458210422812192723697148475909537856440511307767944936086529 02/20/15 08:35:59 v1.34.3, using pretesting plan: none 02/20/15 08:35:59 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 02/20/15 08:35:59 v1.34.3, ************************ 02/20/15 08:35:59 v1.34.3, nfs: commencing nfs on c179: 66175024582104228121927236971484759095378564405113077679449360865290068829891838741396263520157325467059980334316617502458210422812192723697148475909537856440511307767944936086529 02/20/15 08:35:59 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq 02/20/15 08:35:59 v1.34.3, nfs: commencing lattice sieving with 8 threads 02/20/15 08:46:21 v1.34.3, nfs: commencing lattice sieving with 8 threads [118 lines snipped] 02/21/15 06:24:16 v1.34.3, nfs: commencing lattice sieving with 8 threads 02/21/15 06:34:48 v1.34.3, nfs: commencing lattice sieving with 8 threads 02/21/15 06:45:46 v1.34.3, nfs: commencing msieve filtering 02/21/15 06:49:55 v1.34.3, nfs: commencing msieve linear algebra 02/21/15 08:53:22 v1.34.3, 02/21/15 08:53:22 v1.34.3, ************************ 02/21/15 08:53:22 v1.34.3, Starting factorization of 66175024582104228121927236971484759095378564405113077679449360865290068829891838741396263520157325467059980334316617502458210422812192723697148475909537856440511307767944936086529 02/21/15 08:53:22 v1.34.3, using pretesting plan: none 02/21/15 08:53:22 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 02/21/15 08:53:22 v1.34.3, ************************ 02/21/15 08:53:22 v1.34.3, nfs: commencing nfs on c179: 66175024582104228121927236971484759095378564405113077679449360865290068829891838741396263520157325467059980334316617502458210422812192723697148475909537856440511307767944936086529 02/21/15 08:53:22 v1.34.3, nfs: resuming with sieving at user specified special-q 13619853 02/21/15 08:53:22 v1.34.3, nfs: commencing lattice sieving with 8 threads 02/21/15 09:34:17 v1.34.3, c179 cofactor = 66175024582104228121927236971484759095378564405113077679449360865290068829891838741396263520157325467059980334316617502458210422812192723697148475909537856440511307767944936086529 02/21/15 09:34:17 v1.34.3, Total factoring time = 2454.6639 seconds 02/21/15 10:03:56 v1.34.3, 02/21/15 10:03:56 v1.34.3, ************************ 02/21/15 10:03:56 v1.34.3, Starting factorization of 66175024582104228121927236971484759095378564405113077679449360865290068829891838741396263520157325467059980334316617502458210422812192723697148475909537856440511307767944936086529 02/21/15 10:03:56 v1.34.3, using pretesting plan: none 02/21/15 10:03:56 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 02/21/15 10:03:56 v1.34.3, ************************** 02/21/15 10:03:56 v1.34.3, nfs: previous data file found - commencing search for last special-q 02/21/15 10:04:12 v1.34.3, nfs: parsing special-q from .dat file 02/21/15 10:04:12 v1.34.3, nfs: commencing nfs on c179: 66175024582104228121927236971484759095378564405113077679449360865290068829891838741396263520157325467059980334316617502458210422812192723697148475909537856440511307767944936086529 02/21/15 10:04:12 v1.34.3, nfs: resuming with filtering 02/21/15 10:04:12 v1.34.3, nfs: commencing msieve filtering 02/21/15 10:08:46 v1.34.3, nfs: commencing msieve linear algebra 02/21/15 11:11:59 v1.34.3, nfs: commencing msieve sqrt 02/21/15 11:14:51 v1.34.3, prp104 = 91563265658249064866519446992217493519230111604845005032041139562713871385028921231030666973552574530911 02/21/15 11:14:51 v1.34.3, prp75 = 722724600377361333363332679853831398891830121519917151336701708050627771039 02/21/15 11:14:52 v1.34.3, NFS elapsed time = 4255.4867 seconds. 02/21/15 11:14:52 v1.34.3, 02/21/15 11:14:52 v1.34.3, 02/21/15 11:14:52 v1.34.3, Total factoring time = 4255.4878 seconds -- Sat Feb 21 06:45:46 2015 Sat Feb 21 06:45:46 2015 commencing relation filtering Sat Feb 21 06:45:46 2015 estimated available RAM is 15987.3 MB Sat Feb 21 06:45:46 2015 commencing duplicate removal, pass 1 Sat Feb 21 06:46:48 2015 found 3798453 hash collisions in 21154187 relations Sat Feb 21 06:47:06 2015 added 704966 free relations Sat Feb 21 06:47:06 2015 commencing duplicate removal, pass 2 Sat Feb 21 06:47:24 2015 found 3200847 duplicates and 18658306 unique relations Sat Feb 21 06:47:24 2015 memory use: 90.6 MB Sat Feb 21 06:47:24 2015 reading ideals above 720000 Sat Feb 21 06:47:25 2015 commencing singleton removal, initial pass Sat Feb 21 06:48:49 2015 memory use: 376.5 MB Sat Feb 21 06:48:49 2015 reading all ideals from disk Sat Feb 21 06:48:49 2015 memory use: 583.6 MB Sat Feb 21 06:48:50 2015 keeping 20107338 ideals with weight <= 200, target excess is 115950 Sat Feb 21 06:48:51 2015 commencing in-memory singleton removal Sat Feb 21 06:48:51 2015 begin with 18658306 relations and 20107338 unique ideals Sat Feb 21 06:49:00 2015 reduce to 8276183 relations and 7508010 ideals in 18 passes Sat Feb 21 06:49:00 2015 max relations containing the same ideal: 111 Sat Feb 21 06:49:03 2015 removing 1669460 relations and 1352625 ideals in 316835 cliques Sat Feb 21 06:49:03 2015 commencing in-memory singleton removal Sat Feb 21 06:49:04 2015 begin with 6606723 relations and 7508010 unique ideals Sat Feb 21 06:49:07 2015 reduce to 6331440 relations and 5866755 ideals in 10 passes Sat Feb 21 06:49:07 2015 max relations containing the same ideal: 93 Sat Feb 21 06:49:09 2015 removing 1322065 relations and 1005230 ideals in 316835 cliques Sat Feb 21 06:49:09 2015 commencing in-memory singleton removal Sat Feb 21 06:49:09 2015 begin with 5009375 relations and 5866755 unique ideals Sat Feb 21 06:49:11 2015 reduce to 4798439 relations and 4639848 ideals in 8 passes Sat Feb 21 06:49:11 2015 max relations containing the same ideal: 80 Sat Feb 21 06:49:12 2015 removing 167899 relations and 143811 ideals in 24088 cliques Sat Feb 21 06:49:12 2015 commencing in-memory singleton removal Sat Feb 21 06:49:12 2015 begin with 4630540 relations and 4639848 unique ideals Sat Feb 21 06:49:14 2015 reduce to 4627311 relations and 4492787 ideals in 7 passes Sat Feb 21 06:49:14 2015 max relations containing the same ideal: 73 Sat Feb 21 06:49:15 2015 relations with 0 large ideals: 2864 Sat Feb 21 06:49:15 2015 relations with 1 large ideals: 1113 Sat Feb 21 06:49:15 2015 relations with 2 large ideals: 19699 Sat Feb 21 06:49:15 2015 relations with 3 large ideals: 137349 Sat Feb 21 06:49:15 2015 relations with 4 large ideals: 503658 Sat Feb 21 06:49:15 2015 relations with 5 large ideals: 1055311 Sat Feb 21 06:49:15 2015 relations with 6 large ideals: 1362989 Sat Feb 21 06:49:15 2015 relations with 7+ large ideals: 1544328 Sat Feb 21 06:49:15 2015 commencing 2-way merge Sat Feb 21 06:49:16 2015 reduce to 2837886 relation sets and 2703362 unique ideals Sat Feb 21 06:49:16 2015 commencing full merge Sat Feb 21 06:49:44 2015 memory use: 340.1 MB Sat Feb 21 06:49:44 2015 found 1485656 cycles, need 1467562 Sat Feb 21 06:49:44 2015 weight of 1467562 cycles is about 103112720 (70.26/cycle) Sat Feb 21 06:49:44 2015 distribution of cycle lengths: Sat Feb 21 06:49:44 2015 1 relations: 157561 Sat Feb 21 06:49:44 2015 2 relations: 165997 Sat Feb 21 06:49:44 2015 3 relations: 169117 Sat Feb 21 06:49:44 2015 4 relations: 157177 Sat Feb 21 06:49:44 2015 5 relations: 144527 Sat Feb 21 06:49:44 2015 6 relations: 129292 Sat Feb 21 06:49:44 2015 7 relations: 112216 Sat Feb 21 06:49:44 2015 8 relations: 96298 Sat Feb 21 06:49:44 2015 9 relations: 80566 Sat Feb 21 06:49:44 2015 10+ relations: 254811 Sat Feb 21 06:49:44 2015 heaviest cycle: 21 relations Sat Feb 21 06:49:45 2015 commencing cycle optimization Sat Feb 21 06:49:46 2015 start with 8521749 relations Sat Feb 21 06:49:53 2015 pruned 216295 relations Sat Feb 21 06:49:53 2015 memory use: 276.9 MB Sat Feb 21 06:49:53 2015 distribution of cycle lengths: Sat Feb 21 06:49:53 2015 1 relations: 157561 Sat Feb 21 06:49:53 2015 2 relations: 169431 Sat Feb 21 06:49:53 2015 3 relations: 174818 Sat Feb 21 06:49:53 2015 4 relations: 161312 Sat Feb 21 06:49:53 2015 5 relations: 148490 Sat Feb 21 06:49:53 2015 6 relations: 131843 Sat Feb 21 06:49:53 2015 7 relations: 114065 Sat Feb 21 06:49:53 2015 8 relations: 96528 Sat Feb 21 06:49:53 2015 9 relations: 80000 Sat Feb 21 06:49:53 2015 10+ relations: 233514 Sat Feb 21 06:49:53 2015 heaviest cycle: 20 relations Sat Feb 21 06:49:55 2015 RelProcTime: 249 Sat Feb 21 06:49:55 2015 Sat Feb 21 06:49:55 2015 commencing linear algebra Sat Feb 21 06:49:55 2015 read 1467562 cycles Sat Feb 21 06:49:57 2015 cycles contain 4535946 unique relations Sat Feb 21 06:50:21 2015 read 4535946 relations Sat Feb 21 06:50:25 2015 using 20 quadratic characters above 268434624 Sat Feb 21 06:50:39 2015 building initial matrix Sat Feb 21 06:51:08 2015 memory use: 573.2 MB Sat Feb 21 06:51:08 2015 read 1467562 cycles Sat Feb 21 06:51:08 2015 matrix is 1469175 x 1467562 (440.3 MB) with weight 131523452 (89.62/col) Sat Feb 21 06:51:08 2015 sparse part has weight 99279312 (67.65/col) Sat Feb 21 06:51:17 2015 filtering completed in 2 passes Sat Feb 21 06:51:17 2015 matrix is 1467203 x 1466702 (440.1 MB) with weight 131470131 (89.64/col) Sat Feb 21 06:51:17 2015 sparse part has weight 99244932 (67.67/col) Sat Feb 21 06:51:22 2015 matrix starts at (0, 0) Sat Feb 21 06:51:22 2015 matrix is 1467203 x 1466702 (440.1 MB) with weight 131470131 (89.64/col) Sat Feb 21 06:51:22 2015 sparse part has weight 99244932 (67.67/col) Sat Feb 21 06:51:22 2015 matrix needs more columns than rows; try adding 2-3% more relations Sat Feb 21 10:04:12 2015 Sat Feb 21 10:04:12 2015 commencing relation filtering Sat Feb 21 10:04:12 2015 estimated available RAM is 15987.3 MB Sat Feb 21 10:04:12 2015 commencing duplicate removal, pass 1 Sat Feb 21 10:05:27 2015 found 4027412 hash collisions in 22413847 relations Sat Feb 21 10:05:43 2015 added 1487 free relations Sat Feb 21 10:05:43 2015 commencing duplicate removal, pass 2 Sat Feb 21 10:06:03 2015 found 3340066 duplicates and 19075268 unique relations Sat Feb 21 10:06:03 2015 memory use: 149.2 MB Sat Feb 21 10:06:03 2015 reading ideals above 720000 Sat Feb 21 10:06:03 2015 commencing singleton removal, initial pass Sat Feb 21 10:07:34 2015 memory use: 376.5 MB Sat Feb 21 10:07:34 2015 reading all ideals from disk Sat Feb 21 10:07:34 2015 memory use: 596.7 MB Sat Feb 21 10:07:35 2015 keeping 20269627 ideals with weight <= 200, target excess is 116019 Sat Feb 21 10:07:36 2015 commencing in-memory singleton removal Sat Feb 21 10:07:37 2015 begin with 19075268 relations and 20269627 unique ideals Sat Feb 21 10:07:46 2015 reduce to 8785710 relations and 7830018 ideals in 16 passes Sat Feb 21 10:07:46 2015 max relations containing the same ideal: 117 Sat Feb 21 10:07:49 2015 removing 1901747 relations and 1501747 ideals in 400000 cliques Sat Feb 21 10:07:49 2015 commencing in-memory singleton removal Sat Feb 21 10:07:49 2015 begin with 6883963 relations and 7830018 unique ideals Sat Feb 21 10:07:52 2015 reduce to 6551613 relations and 5976883 ideals in 9 passes Sat Feb 21 10:07:52 2015 max relations containing the same ideal: 98 Sat Feb 21 10:07:54 2015 removing 1525141 relations and 1125141 ideals in 400000 cliques Sat Feb 21 10:07:55 2015 commencing in-memory singleton removal Sat Feb 21 10:07:55 2015 begin with 5026472 relations and 5976883 unique ideals Sat Feb 21 10:07:57 2015 reduce to 4762158 relations and 4571095 ideals in 9 passes Sat Feb 21 10:07:57 2015 max relations containing the same ideal: 76 Sat Feb 21 10:07:59 2015 removing 321331 relations and 264851 ideals in 56480 cliques Sat Feb 21 10:07:59 2015 commencing in-memory singleton removal Sat Feb 21 10:07:59 2015 begin with 4440827 relations and 4571095 unique ideals Sat Feb 21 10:08:02 2015 reduce to 4428041 relations and 4293309 ideals in 7 passes Sat Feb 21 10:08:02 2015 max relations containing the same ideal: 70 Sat Feb 21 10:08:04 2015 relations with 0 large ideals: 2864 Sat Feb 21 10:08:04 2015 relations with 1 large ideals: 1140 Sat Feb 21 10:08:04 2015 relations with 2 large ideals: 20023 Sat Feb 21 10:08:04 2015 relations with 3 large ideals: 137783 Sat Feb 21 10:08:04 2015 relations with 4 large ideals: 497616 Sat Feb 21 10:08:04 2015 relations with 5 large ideals: 1024125 Sat Feb 21 10:08:04 2015 relations with 6 large ideals: 1299181 Sat Feb 21 10:08:04 2015 relations with 7+ large ideals: 1445309 Sat Feb 21 10:08:04 2015 commencing 2-way merge Sat Feb 21 10:08:06 2015 reduce to 2747652 relation sets and 2612920 unique ideals Sat Feb 21 10:08:06 2015 commencing full merge Sat Feb 21 10:08:34 2015 memory use: 329.2 MB Sat Feb 21 10:08:34 2015 found 1445398 cycles, need 1427120 Sat Feb 21 10:08:35 2015 weight of 1427120 cycles is about 99945638 (70.03/cycle) Sat Feb 21 10:08:35 2015 distribution of cycle lengths: Sat Feb 21 10:08:35 2015 1 relations: 144388 Sat Feb 21 10:08:35 2015 2 relations: 159408 Sat Feb 21 10:08:35 2015 3 relations: 164773 Sat Feb 21 10:08:35 2015 4 relations: 155135 Sat Feb 21 10:08:35 2015 5 relations: 143681 Sat Feb 21 10:08:35 2015 6 relations: 129727 Sat Feb 21 10:08:35 2015 7 relations: 113113 Sat Feb 21 10:08:35 2015 8 relations: 97704 Sat Feb 21 10:08:35 2015 9 relations: 80795 Sat Feb 21 10:08:35 2015 10+ relations: 238396 Sat Feb 21 10:08:35 2015 heaviest cycle: 20 relations Sat Feb 21 10:08:35 2015 commencing cycle optimization Sat Feb 21 10:08:37 2015 start with 8247312 relations Sat Feb 21 10:08:44 2015 pruned 214850 relations Sat Feb 21 10:08:44 2015 memory use: 266.5 MB Sat Feb 21 10:08:44 2015 distribution of cycle lengths: Sat Feb 21 10:08:44 2015 1 relations: 144388 Sat Feb 21 10:08:44 2015 2 relations: 162615 Sat Feb 21 10:08:44 2015 3 relations: 170626 Sat Feb 21 10:08:44 2015 4 relations: 159339 Sat Feb 21 10:08:44 2015 5 relations: 148007 Sat Feb 21 10:08:44 2015 6 relations: 132287 Sat Feb 21 10:08:44 2015 7 relations: 115337 Sat Feb 21 10:08:44 2015 8 relations: 98141 Sat Feb 21 10:08:44 2015 9 relations: 80158 Sat Feb 21 10:08:44 2015 10+ relations: 216222 Sat Feb 21 10:08:44 2015 heaviest cycle: 19 relations Sat Feb 21 10:08:45 2015 RelProcTime: 273 Sat Feb 21 10:08:46 2015 Sat Feb 21 10:08:46 2015 commencing linear algebra Sat Feb 21 10:08:46 2015 read 1427120 cycles Sat Feb 21 10:08:48 2015 cycles contain 4340820 unique relations Sat Feb 21 10:09:14 2015 read 4340820 relations Sat Feb 21 10:09:17 2015 using 20 quadratic characters above 268434624 Sat Feb 21 10:09:32 2015 building initial matrix Sat Feb 21 10:10:01 2015 memory use: 552.0 MB Sat Feb 21 10:10:02 2015 read 1427120 cycles Sat Feb 21 10:10:02 2015 matrix is 1426975 x 1427120 (426.9 MB) with weight 127587343 (89.40/col) Sat Feb 21 10:10:02 2015 sparse part has weight 96200076 (67.41/col) Sat Feb 21 10:10:10 2015 filtering completed in 2 passes Sat Feb 21 10:10:10 2015 matrix is 1426595 x 1426758 (426.8 MB) with weight 127574921 (89.42/col) Sat Feb 21 10:10:10 2015 sparse part has weight 96195419 (67.42/col) Sat Feb 21 10:10:14 2015 matrix starts at (0, 0) Sat Feb 21 10:10:14 2015 matrix is 1426595 x 1426758 (426.8 MB) with weight 127574921 (89.42/col) Sat Feb 21 10:10:14 2015 sparse part has weight 96195419 (67.42/col) Sat Feb 21 10:10:14 2015 saving the first 48 matrix rows for later Sat Feb 21 10:10:14 2015 matrix includes 64 packed rows Sat Feb 21 10:10:14 2015 matrix is 1426547 x 1426758 (406.2 MB) with weight 101586918 (71.20/col) Sat Feb 21 10:10:14 2015 sparse part has weight 92209997 (64.63/col) Sat Feb 21 10:10:14 2015 using block size 65536 for processor cache size 8192 kB Sat Feb 21 10:10:17 2015 commencing Lanczos iteration (8 threads) Sat Feb 21 10:10:17 2015 memory use: 399.3 MB Sat Feb 21 10:10:22 2015 linear algebra at 0.1%, ETA 1h 2m Sat Feb 21 10:10:23 2015 checkpointing every 1460000 dimensions Sat Feb 21 11:11:58 2015 lanczos halted after 22557 iterations (dim = 1426539) Sat Feb 21 11:11:59 2015 recovered 36 nontrivial dependencies Sat Feb 21 11:11:59 2015 BLanczosTime: 3793 Sat Feb 21 11:11:59 2015 Sat Feb 21 11:11:59 2015 commencing square root phase Sat Feb 21 11:11:59 2015 reading relations for dependency 1 Sat Feb 21 11:12:00 2015 read 713719 cycles Sat Feb 21 11:12:00 2015 cycles contain 2170026 unique relations Sat Feb 21 11:12:20 2015 read 2170026 relations Sat Feb 21 11:12:26 2015 multiplying 2170026 relations Sat Feb 21 11:13:31 2015 multiply complete, coefficients have about 75.90 million bits Sat Feb 21 11:13:31 2015 initial square root is modulo 280591 Sat Feb 21 11:14:51 2015 sqrtTime: 172 -- n: 66175024582104228121927236971484759095378564405113077679449360865290068829891838741396263520157325467059980334316617502458210422812192723697148475909537856440511307767944936086529 m: 500000000000000000000000000000000000 deg: 5 c5: 10768 c0: -35 skew: 0.32 # Murphy_E = 5.462e-11 type: snfs lss: 1 rlim: 7700000 alim: 7700000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5
software ソフトウェア	yafu v1.34.3
execution environment 実行環境	Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	2401	300	Serge Batalov	January 9, 2015 00:02:36 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 36 秒 (日本時間)
			1	Cyp	January 9, 2015 00:54:08 UTC 2015 年 1 月 9 日 (金) 9 時 54 分 8 秒 (日本時間)
			2100	Serge Batalov	January 10, 2015 20:08:45 UTC 2015 年 1 月 11 日 (日) 5 時 8 分 45 秒 (日本時間)

673×10¹⁸³-79

c175

name 名前	Serge Batalov
date 日付	January 9, 2015 03:48:29 UTC 2015 年 1 月 9 日 (金) 12 時 48 分 29 秒 (日本時間)
composite number 合成数	1384188983149974995869629898913634802732565156952711048502037750540074836656472044609080629932567363961214626103299396704062391405105792549914608462367567167495405200286265537<175>
prime factors 素因数	379954158868269802622889256154549<33> 3643042064002972648113211986321823685013350373609353213753810051227311906096978254685332166473645893851236938062333423951650597424030046123613<142>
factorization results 素因数分解の結果	Input number is 1384188983149974995869629898913634802732565156952711048502037750540074836656472044609080629932567363961214626103299396704062391405105792549914608462367567167495405200286265537 (175 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2435331557 Step 1 took 15771ms Step 2 took 11578ms ********** Factor found in step 2: 379954158868269802622889256154549 Found probable prime factor of 33 digits: 379954158868269802622889256154549 Probable prime cofactor 3643042064002972648113211986321823685013350373609353213753810051227311906096978254685332166473645893851236938062333423951650597424030046123613 has 142 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	300 / 2318		Serge Batalov	January 9, 2015 00:02:36 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 36 秒 (日本時間)

673×10¹⁸⁴-79

c180

name 名前	Jo Yeong Uk
date 日付	July 16, 2016 03:14:11 UTC 2016 年 7 月 16 日 (土) 12 時 14 分 11 秒 (日本時間)
composite number 合成数	429614385660046328134360909661542382033666830277613241213284647107530182644842766560884497502140252052781159474966535720457260358638003663021200288971530610088813996823917660604763<180>
prime factors 素因数	3087200470495558669676398235858653699644505865054090905751417692787132093434926259639<85> 139159860127607603330395331181133474647303476587761868431867944849392259818599539957529426293117<96>
factorization results 素因数分解の結果	Number: 74777_184 N=429614385660046328134360909661542382033666830277613241213284647107530182644842766560884497502140252052781159474966535720457260358638003663021200288971530610088813996823917660604763 ( 180 digits) SNFS difficulty: 187 digits. Divisors found: r1=3087200470495558669676398235858653699644505865054090905751417692787132093434926259639 r2=139159860127607603330395331181133474647303476587761868431867944849392259818599539957529426293117 Version: Total time: 112.09 hours. Scaled time: 586.67 units (timescale=5.234). Factorization parameters were as follows: n: 429614385660046328134360909661542382033666830277613241213284647107530182644842766560884497502140252052781159474966535720457260358638003663021200288971530610088813996823917660604763 m: 10000000000000000000000000000000000000 deg: 5 c5: 673 c0: -70 skew: 0.64 # Murphy_E = 3.42e-11 type: snfs lss: 1 rlim: 7800000 alim: 7800000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 Factor base limits: 7800000/7800000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 54/54 Sieved rational special-q in [3900000, 9000001) Primes: rational ideals reading, algebraic ideals reading, Relations: 21146385 Max relations in full relation-set: Initial matrix: Pruned matrix : 1867261 x 1867509 Total sieving time: 104.15 hours. Total relation processing time: 2.85 hours. Matrix solve time: 4.92 hours. Time per square root: 0.16 hours. Prototype def-par.txt line would be: snfs,187,5,0,0,0,0,0,0,0,0,7800000,7800000,28,28,54,54,2.5,2.5,100000 total time: 112.09 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04 Memory: 49368528k/51380224k available (5398k kernel code, 1086460k absent, 925236k reserved, 7010k data, 1296k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.81 BogoMIPS (lpj=3399905) Total of 12 processors activated (81597.72 BogoMIPS).
software ソフトウェア	GGNFS / Msieve v1.39
execution environment 実行環境	Core i7-4930K

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	301	300	Serge Batalov	January 9, 2015 00:02:37 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 37 秒 (日本時間)
40	3e6	301	1	Cyp	January 9, 2015 00:23:39 UTC 2015 年 1 月 9 日 (金) 9 時 23 分 39 秒 (日本時間)
45	11e6	600 / 4409		KTakahashi	June 4, 2015 08:54:30 UTC 2015 年 6 月 4 日 (木) 17 時 54 分 30 秒 (日本時間)

673×10¹⁸⁵-79

c140

name 名前	Serge Batalov
date 日付	January 9, 2015 03:48:32 UTC 2015 年 1 月 9 日 (金) 12 時 48 分 32 秒 (日本時間)
composite number 合成数	15649757378189090549797300410179694481451980904112026539470261670488447597734116456638725923353631193233621593452753519593244646022998692431<140>
prime factors 素因数	21990528245752026073689986009339<32> 711659001698251583994362986977461340921274646239572385904040103743935790578790632389645617525071217866474429<108>
factorization results 素因数分解の結果	Input number is 15649757378189090549797300410179694481451980904112026539470261670488447597734116456638725923353631193233621593452753519593244646022998692431 (140 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3731799167 Step 1 took 9818ms Step 2 took 8612ms ********** Factor found in step 2: 21990528245752026073689986009339 Found probable prime factor of 32 digits: 21990528245752026073689986009339 Probable prime cofactor 711659001698251583994362986977461340921274646239572385904040103743935790578790632389645617525071217866474429 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	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	301 / 2318	300	Serge Batalov	January 9, 2015 00:02:38 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 38 秒 (日本時間)
40	3e6	301 / 2318	1	Cyp	January 9, 2015 00:38:52 UTC 2015 年 1 月 9 日 (金) 9 時 38 分 52 秒 (日本時間)

673×10¹⁸⁷-79

c146

name 名前	Jo Yeong Uk
date 日付	November 10, 2017 12:34:32 UTC 2017 年 11 月 10 日 (金) 21 時 34 分 32 秒 (日本時間)
composite number 合成数	54485472370107915887712669581500748574256889472754775975002365787454760383942168430896759000213788379496709585396270195855510652983635032780813719<146>
prime factors 素因数	4567804061727078134334144618730946888484974465351<49> 11928154455361437098266759691005052825589778840757931313406213349809627646849750757772895242379569<98>
factorization results 素因数分解の結果	GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM] Input number is 54485472370107915887712669581500748574256889472754775975002365787454760383942168430896759000213788379496709585396270195855510652983635032780813719 (146 digits) Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=7280389594 Step 1 took 24920ms Step 2 took 8972ms ********** Factor found in step 2: 4567804061727078134334144618730946888484974465351 Found probable prime factor of 49 digits: 4567804061727078134334144618730946888484974465351 Probable prime cofactor 11928154455361437098266759691005052825589778840757931313406213349809627646849750757772895242379569 has 98 digits
execution environment 実行環境	Core i7-4930K

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	118	Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	300	Serge Batalov	January 9, 2015 00:02:38 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 38 秒 (日本時間)
45	11e6	585 / 4409	Cyp	June 3, 2015 05:21:55 UTC 2015 年 6 月 3 日 (水) 14 時 21 分 55 秒 (日本時間)

673×10¹⁸⁸-79

c179

name 名前	Eric Jeancolas
date 日付	July 24, 2020 05:04:56 UTC 2020 年 7 月 24 日 (金) 14 時 4 分 56 秒 (日本時間)
composite number 合成数	37177462733014542998731673903620063777702752450405533116933662739373123108488052404042861542906269337053426407177729792114345654095109229478415689903395851739054392854654859954343<179>
prime factors 素因数	2110305235334988296966065139835669507683085009971230422063251<61> 17617102071546071854532985144838102219964006476609356003423380605899484650654698272529138832489065519469019796554072093<119>
factorization results 素因数分解の結果	37177462733014542998731673903620063777702752450405533116933662739373123108488052404042861542906269337053426407177729792114345654095109229478415689903395851739054392854654859954343=211030523533498829696606513983566950768308500997123042206325117617102071546071854532985144838102219964006476609356003423380605899484650654698272529138832489065519469019796554072093 n: 37177462733014542998731673903620063777702752450405533116933662739373123108488052404042861542906269337053426407177729792114345654095109229478415689903395851739054392854654859954343 skew: 0.10 type: snfs c0: -7 c5: 673000 Y0: 10000000000000000000000000000000000000 Y1: -1 # f(x) = 673000x^5-7 # g(x) = -x+10000000000000000000000000000000000000 Info:Square Root: Factors: 17617102071546071854532985144838102219964006476609356003423380605899484650654698272529138832489065519469019796554072093 2110305235334988296966065139835669507683085009971230422063251 Info:Square Root: Total cpu/real time for sqrt: 755.28/346.301 Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info) Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info) Info:Generate Factor Base: Total cpu/real time for makefb: 6.27/1.33027 Info:Generate Free Relations: Total cpu/real time for freerel: 118.29/11.1037 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 29078743 Info:Lattice Sieving: Average J: 1895.44 for 4321208 special-q, max bucket fill -bkmult 1.0,1s:1.106460 Info:Lattice Sieving: Total time: 1.03652e+06s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 104.67/225.494 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 224.00000000000003s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 808.06/676.764 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 572.9s Info:Filtering - Singleton removal: Total cpu/real time for purge: 671.91/736.611 Info:Filtering - Merging: Total cpu/real time for merge: 1365.99/1200.31 Info:Filtering - Merging: Total cpu/real time for replay: 89.86/69.8198 Info:Linear Algebra: Total cpu time for bwc: 149320 Warning:Linear Algebra: some stats could not be displayed for linalg (see log file for debug info) Info:Quadratic Characters: Total cpu/real time for characters: 80.33/74.5078 Info:Square Root: Total cpu/real time for sqrt: 755.28/346.301 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.00987e+06/429.952 17617102071546071854532985144838102219964006476609356003423380605899484650654698272529138832489065519469019796554072093 2110305235334988296966065139835669507683085009971230422063251
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic\|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)] 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	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	300		Serge Batalov	January 9, 2015 00:02:39 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 39 秒 (日本時間)
45	11e6	4585	585	Cyp	July 21, 2015 15:53:49 UTC 2015 年 7 月 22 日 (水) 0 時 53 分 49 秒 (日本時間)
45	11e6	4585	4000	Robert Balfour	March 27, 2020 01:23:00 UTC 2020 年 3 月 27 日 (金) 10 時 23 分 0 秒 (日本時間)

673×10¹⁸⁹-79

c190

name 名前	Serge Batalov
date 日付	January 11, 2015 22:03:02 UTC 2015 年 1 月 12 日 (月) 7 時 3 分 2 秒 (日本時間)
composite number 合成数	2021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021<190>
prime factors 素因数	15303841730896982171823507260323418328518886247<47>
composite cofactor 合成数の残り	132059717851157221062850760778421100020760061944112841878904953147632283426585662080213358481569510257796225725996460915934018125738320381529243<144>
factorization results 素因数分解の結果	Using B1=43000000, B2=582162027730, polynomial Dickson(30), sigma=2833680509 Step 1 took 218564ms ********** Factor found in step 1: 15303841730896982171823507260323418328518886247 Found probable prime factor of 47 digits: 15303841730896982171823507260323418328518886247 Composite cofactor

c144

name 名前	Eric Jeancolas
date 日付	May 8, 2020 03:01:37 UTC 2020 年 5 月 8 日 (金) 12 時 1 分 37 秒 (日本時間)
composite number 合成数	132059717851157221062850760778421100020760061944112841878904953147632283426585662080213358481569510257796225725996460915934018125738320381529243<144>
prime factors 素因数	34596660319472334032915593038971036551067701242216263105890681216295909<71> 3817123289695939851196266616775353769298108745405242321995070251384563327<73>
factorization results 素因数分解の結果	132059717851157221062850760778421100020760061944112841878904953147632283426585662080213358481569510257796225725996460915934018125738320381529243=345966603194723340329155930389710365510677012422162631058906812162959093817123289695939851196266616775353769298108745405242321995070251384563327 n: 132059717851157221062850760778421100020760061944112841878904953147632283426585662080213358481569510257796225725996460915934018125738320381529243 skew: 2061164.721 c0: 107302864066985672317560140976463920 c1: 50880990271653560246742408298 c2: -207536928005693044911145 c3: 25912850145472279 c4: 32142743037 c5: 720 Y0: -13870678690208718001860299133 Y1: 22247058655273665181 # MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=3.355e+14) = 2.04e-07 # found by revision 7f9c8bd19 # f(x) = 720x^5+32142743037x^4+25912850145472279x^3-207536928005693044911145x^2+50880990271653560246742408298x+107302864066985672317560140976463920 # g(x) = 22247058655273665181*x-13870678690208718001860299133 Info:Square Root: Factors: 34596660319472334032915593038971036551067701242216263105890681216295909 3817123289695939851196266616775353769298108745405242321995070251384563327 Info:Square Root: Total cpu/real time for sqrt: 15723.8/3506.24 Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 77228.6 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 78272/42.860/51.582/56.570/0.933 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 78272/41.960/46.185/52.450/1.257 Info:Polynomial Selection (size optimized): Total time: 42257.5 Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 2230.5 Info:Polynomial Selection (root optimized): Rootsieve time: 2229.43 Info:Generate Factor Base: Total cpu/real time for makefb: 51.85/8.70341 Info:Generate Free Relations: Total cpu/real time for freerel: 1271.03/167.285 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 47826078 Info:Lattice Sieving: Average J: 3942.33 for 934471 special-q, max bucket fill -bkmult 1.0,1s:1.080270 Info:Lattice Sieving: Total time: 1.01033e+06s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 294.92/191.775 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 191.0s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 2170.57/868.21 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 733.6999999999999s Info:Filtering - Singleton removal: Total cpu/real time for purge: 1685.83/731.013 Info:Filtering - Merging: Total cpu/real time for merge: 2292.36/2002.81 Info:Filtering - Merging: Total cpu/real time for replay: 193.6/154.782 Info:Linear Algebra: Total cpu/real time for bwc: 307503/87269.2 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 58411.74, iteration CPU time 0.51, COMM 0.01, cpu-wait 0.06, comm-wait 0.0 (102000 iterations) Info:Linear Algebra: Lingen CPU time 572.22, WCT time 180.41 Info:Linear Algebra: Mksol: WCT time 28640.06, iteration CPU time 0.51, COMM 0.01, cpu-wait 0.04, comm-wait 0.0 (51000 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 361.3/168.918 Info:Square Root: Total cpu/real time for sqrt: 15723.8/3506.24 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.23736e+06/1.13164e+06 34596660319472334032915593038971036551067701242216263105890681216295909 3817123289695939851196266616775353769298108745405242321995070251384563327
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 18.04 LTS GenuineIntel Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz [Family 6 Model 63 Stepping 2] (12 processors)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	2400	300	Serge Batalov	January 9, 2015 00:02:39 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 39 秒 (日本時間)
40	3e6	2400	2100	Serge Batalov	January 10, 2015 20:08:51 UTC 2015 年 1 月 11 日 (日) 5 時 8 分 51 秒 (日本時間)
45	11e6	4000		Robert Balfour	April 28, 2020 16:48:26 UTC 2020 年 4 月 29 日 (水) 1 時 48 分 26 秒 (日本時間)
50	43e6	1000 / 6564		Serge Batalov	January 11, 2015 21:22:48 UTC 2015 年 1 月 12 日 (月) 6 時 22 分 48 秒 (日本時間)

673×10¹⁹⁰-79

c149

name 名前	Serge Batalov
date 日付	January 9, 2015 03:48:36 UTC 2015 年 1 月 9 日 (金) 12 時 48 分 36 秒 (日本時間)
composite number 合成数	11599899787295999018321081765178040679792574766084323399922375560984198918705810618970881559798579259577932111920571610467467813731395899324523813803<149>
prime factors 素因数	999309229338121640363086636159<30> 11607918196631716163681545914228390050719697132180893473677782729926264287158587141859367190113834073662560935422984917<119>
factorization results 素因数分解の結果	Input number is 11599899787295999018321081765178040679792574766084323399922375560984198918705810618970881559798579259577932111920571610467467813731395899324523813803 (149 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=920260583 Step 1 took 9794ms Step 2 took 8963ms ********** Factor found in step 2: 999309229338121640363086636159 Found probable prime factor of 30 digits: 999309229338121640363086636159 Probable prime cofactor 11607918196631716163681545914228390050719697132180893473677782729926264287158587141859367190113834073662560935422984917 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	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	300 / 2318		Serge Batalov	January 9, 2015 00:02:40 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 40 秒 (日本時間)

673×10¹⁹⁵-79

c160

name 名前	Serge Batalov
date 日付	January 9, 2015 03:48:40 UTC 2015 年 1 月 9 日 (金) 12 時 48 分 40 秒 (日本時間)
composite number 合成数	3677532648917231736520149672053166330834014641010898054516456119506343619066801747918440135218775492422929854244180283033088177852503278344637016318621922412397<160>
prime factors 素因数	2858401991791945682259462626669169551783<40>
composite cofactor 合成数の残り	1286569439665051864935688688828486214638686213502874084270532068811792005253644171678362279115484603737066347106774368459<121>
factorization results 素因数分解の結果	Input number is 3677532648917231736520149672053166330834014641010898054516456119506343619066801747918440135218775492422929854244180283033088177852503278344637016318621922412397 (160 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2292368845 Step 1 took 11093ms Step 2 took 8584ms ********** Factor found in step 2: 2858401991791945682259462626669169551783 Found probable prime factor of 40 digits: 2858401991791945682259462626669169551783 Composite cofactor 1286569439665051864935688688828486214638686213502874084270532068811792005253644171678362279115484603737066347106774368459 has 121 digits

c121

name 名前	Erik Branger
date 日付	January 28, 2015 20:00:06 UTC 2015 年 1 月 29 日 (木) 5 時 0 分 6 秒 (日本時間)
composite number 合成数	1286569439665051864935688688828486214638686213502874084270532068811792005253644171678362279115484603737066347106774368459<121>
prime factors 素因数	141878557443076181826213752767408447659689957511223<51> 9068103474207107992922281232125004529335177647932538547645903516254733<70>
factorization results 素因数分解の結果	Number: 74777_195 N = 1286569439665051864935688688828486214638686213502874084270532068811792005253644171678362279115484603737066347106774368459 (121 digits) Divisors found: r1=141878557443076181826213752767408447659689957511223 (pp51) r2=9068103474207107992922281232125004529335177647932538547645903516254733 (pp70) Version: Msieve v. 1.51 (SVN Official Release) Total time: 13.89 hours. Factorization parameters were as follows: # Murphy_E = 2.982e-10, selected by Erik Branger # expecting poly E from 3.26e-010 to > 3.75e-010 n: 1286569439665051864935688688828486214638686213502874084270532068811792005253644171678362279115484603737066347106774368459 Y0: -204468504503284046836554 Y1: 1964144379253 c0: -8503680543574013007443479387375 c1: 107766014781300283528393041 c2: 49076057557458137633 c3: -1939513606361937 c4: -1184104258 c5: 3600 skew: 381344.04 type: gnfs # selected mechanically rlim: 5300000 alim: 5300000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.5 alambda: 2.5 Factor base limits: 5300000/5300000 Large primes per side: 3 Large prime bits: 27/27 Sieved algebraic special-q in [0, 0) Total raw relations: 9754502 Relations: 1187886 relations Pruned matrix : 684930 x 685156 Polynomial selection time: 0.00 hours. Total sieving time: 13.48 hours. Total relation processing time: 0.05 hours. Matrix solve time: 0.28 hours. time per square root: 0.08 hours. Prototype def-par.txt line would be: gnfs,120,5,65,2000,1e-05,0.28,250,20,50000,3600,5300000,5300000,27,27,52,52,2.5,2.5,100000 total time: 13.89 hours. Intel64 Family 6 Model 60 Stepping 3, GenuineIntel Windows-7-6.1.7601-SP1 processors: 8, speed: 3.50GHz
software ソフトウェア	GGNFS, Msieve

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	118	Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	300	Serge Batalov	January 9, 2015 00:02:41 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 41 秒 (日本時間)
45	11e6	600 / 4409	Pierre Jammes	January 16, 2015 07:52:57 UTC 2015 年 1 月 16 日 (金) 16 時 52 分 57 秒 (日本時間)

673×10¹⁹⁸-79

c169

name 名前	Bob Backstrom
date 日付	April 12, 2021 16:14:55 UTC 2021 年 4 月 13 日 (火) 1 時 14 分 55 秒 (日本時間)
composite number 合成数	7435405569935297253460103097904572730883789729834383207105675190754574733637686553466046444415835930754916054325496228200569998143099826363630310688211851823157774717179<169>
prime factors 素因数	2095281896322057935266736424090566728142778359527070561<55> 3548642110155677545386843237570401269101159185123177212115987733645123567064733980272766172890285371785440448677339<115>
factorization results 素因数分解の結果	Number: n N=7435405569935297253460103097904572730883789729834383207105675190754574733637686553466046444415835930754916054325496228200569998143099826363630310688211851823157774717179 ( 169 digits) SNFS difficulty: 200 digits. Divisors found: Tue Apr 13 00:39:17 2021 p55 factor: 2095281896322057935266736424090566728142778359527070561 Tue Apr 13 00:39:17 2021 p115 factor: 3548642110155677545386843237570401269101159185123177212115987733645123567064733980272766172890285371785440448677339 Tue Apr 13 00:39:17 2021 elapsed time 01:27:10 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.344). Factorization parameters were as follows: # # N = 673x10^198-7 = 747(198) # n: 7435405569935297253460103097904572730883789729834383207105675190754574733637686553466046444415835930754916054325496228200569998143099826363630310688211851823157774717179 m: 1000000000000000000000000000000000 deg: 6 c6: 673 c0: -7 skew: 0.47 # Murphy_E = 1.332e-11 type: snfs lss: 1 rlim: 15600000 alim: 15600000 lpbr: 29 lpba: 29 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 15600000/15600000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 56/56 Sieved special-q in [100000, 20600000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 5365578 hash collisions in 47088546 relations (44146252 unique) Msieve: matrix is 1867676 x 1867904 (661.1 MB) Sieving start time : 2021/04/12 18:37:45 Sieving end time : 2021/04/12 23:11:23 Total sieving time: 4hrs 33min 38secs. Total relation processing time: 1hrs 8min 12sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 3min 25sec. Prototype def-par.txt line would be: snfs,200,6,0,0,0,0,0,0,0,0,15600000,15600000,29,29,56,56,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.119768] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16241112K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486124K reserved, 0K cma-reserved) [ 0.153507] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.05 BogoMIPS (lpj=12798104) [ 0.152038] smpboot: Total of 16 processors activated (102384.83 BogoMIPS)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	301	300	Serge Batalov	January 9, 2015 00:02:41 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 41 秒 (日本時間)
40	3e6	301	1	Cyp	January 9, 2015 00:21:50 UTC 2015 年 1 月 9 日 (金) 9 時 21 分 50 秒 (日本時間)
45	11e6	585 / 4409		Cyp	June 15, 2015 18:09:35 UTC 2015 年 6 月 16 日 (火) 3 時 9 分 35 秒 (日本時間)

673×10²⁰¹-79

c181

name 名前	Serge Batalov
date 日付	January 9, 2015 03:48:43 UTC 2015 年 1 月 9 日 (金) 12 時 48 分 43 秒 (日本時間)
composite number 合成数	3423875742182489374271697032225159941272511970730584343053759262597861191538218952537394375500738389321052959555334512560258413890487965607048613330025438632116175092234673469289637<181>
prime factors 素因数	2056750940739287485274258312749907<34>
composite cofactor 合成数の残り	1664701191750420017549362651403580332121956655311166661530483142716228687012626563776764104997109743700960869887734990462820375772728327014987268391<148>
factorization results 素因数分解の結果	Input number is 3423875742182489374271697032225159941272511970730584343053759262597861191538218952537394375500738389321052959555334512560258413890487965607048613330025438632116175092234673469289637 (181 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1068318777 Step 1 took 15039ms ********** Factor found in step 1: 2056750940739287485274258312749907 Found probable prime factor of 34 digits: 2056750940739287485274258312749907 Composite cofactor 1664701191750420017549362651403580332121956655311166661530483142716228687012626563776764104997109743700960869887734990462820375772728327014987268391 has 148 digits

c148

name 名前	Bob Backstrom
date 日付	November 4, 2021 00:00:19 UTC 2021 年 11 月 4 日 (木) 9 時 0 分 19 秒 (日本時間)
composite number 合成数	1664701191750420017549362651403580332121956655311166661530483142716228687012626563776764104997109743700960869887734990462820375772728327014987268391<148>
prime factors 素因数	14245449352922143613380545600106010390880527<44> 1125320053493798060610106088709499804854823479139<49> 103844638604129348002145062414458479546271360658838436547<57>
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 1664701191750420017549362651403580332121956655311166661530483142716228687012626563776764104997109743700960869887734990462820375772728327014987268391 (148 digits) Using B1=46700000, B2=240494804566, polynomial Dickson(12), sigma=1:2343874423 Step 1 took 98436ms Step 2 took 33469ms ********** Factor found in step 2: 14245449352922143613380545600106010390880527 Found prime factor of 44 digits: 14245449352922143613380545600106010390880527 Composite cofactor 116858454269042965060105752074667719808576797577369431208600932741657960346389334387146660347605829693033 has 105 digits CADO STA:Thu 04 Nov 2021 10:32:59 AEDT (116,858,454,269,042,965,060,105,752,074,667,719,808,576,797,577,369,431,208,600,932,741,657,960,346,389,334,387,146,660,347,605,829,693,033 - C105) /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 116858454269042965060105752074667719808576797577369431208600932741657960346389334387146660347605829693033 2>&1 \| tee -a log57 Debug:root: Looking for parameter file for c105 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c105 Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c105 Info:root: No database exists yet Info:root: Created temporary directory /tmp/cado.1gcv4pps Info:Database: Opened connection to database /tmp/cado.1gcv4pps/c105.db Info:root: tasks.polyselect.threads = 2 Info:root: tasks.sieve.las.threads = 2 Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0 Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 1168584542690429650601057520746677198085767975773694312086009327416579603463893343871 46660347605829693033 Debug:root: Root parameter dictionary: N = 116858454269042965060105752074667719808576797577369431208600932741657960346389334387146660347605829693033 lim0 = 823116 lim1 = 1218966 lpb0 = 24 lpb1 = 24 name = c105 ... n: 116858454269042965060105752074667719808576797577369431208600932741657960346389334387146660347605829693033 skew: 485662.052 c0: -3740243914842829133260112932 c1: 3594855963783680366791 c2: -67471781840833085 c3: -63899126590 c4: 132600 Y0: -6479763785362733480159238 Y1: 2787718578815561 # MurphyE (Bf=1.22e+06,Bg=8.23e+05,area=2.56e+12) = 4.61e-09 # f(x) = 132600x^4-63899126590x^3-67471781840833085x^2+3594855963783680366791x-3740243914842829133260112932 # g(x) = 2787718578815561*x-6479763785362733480159238 ... Info:Square Root: finished Info:Square Root: Factors: 1125320053493798060610106088709499804854823479139 103844638604129348002145062414458479546271360658838436547 Debug:Square Root: Exit SqrtTask.run(sqrt) Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 11429.5 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11347/35.150/39.597/41.350/0.698 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 11347/34.290/38.466/40.440/1.016 Info:Polynomial Selection (size optimized): Total time: 230.18 Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 80.88 Info:Polynomial Selection (root optimized): Rootsieve time: 80.59 Info:Generate Factor Base: Total cpu/real time for makefb: 1.18/0.133813 Info:Generate Free Relations: Total cpu/real time for freerel: 13.24/0.904666 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 1995798 Info:Lattice Sieving: Average J: 995.112 for 202905 special-q, max bucket fill: 0.814098 Info:Lattice Sieving: Total CPU time: 14308.1s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 5.4/4.73627 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 4.299999999999999s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 32.09/17.5726 Info:Filtering - Singleton removal: Total cpu/real time for purge: 24.59/13.97 Info:Filtering - Merging: Total cpu/real time for merge: 83.7/64.8273 Info:Filtering - Merging: Total cpu/real time for replay: 8.97/7.00622 Info:Linear Algebra: Total cpu/real time for bwc: 1560.75/0.000252485 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 65.54 Info:Linear Algebra: Lingen CPU time 58.37, WCT time 5.9 Info:Linear Algebra: Mksol: WCT time 36.94 Info:Quadratic Characters: Total cpu/real time for characters: 8.17/1.98928 Info:Square Root: Total cpu/real time for sqrt: 134.76/20.1451 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 16492/1287.96 Info:root: Cleaning up computation data in /tmp/cado.1gcv4pps 1125320053493798060610106088709499804854823479139 103844638604129348002145062414458479546271360658838436547 END:Thu 04 Nov 2021 10:54:27 AEDT (116,858,454,269,042,965,060,105,752,074,667,719,808,576,797,577,369,431,208,600,932,741,657,960,346,389,334,387,146,660,347,605,829,693,033 - C105)

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	118	Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	300	Serge Batalov	January 9, 2015 00:02:42 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 42 秒 (日本時間)
45	11e6	585 / 4409	Cyp	July 21, 2015 12:11:14 UTC 2015 年 7 月 21 日 (火) 21 時 11 分 14 秒 (日本時間)

673×10²⁰³-79

c205

name 名前	Jo Yeong Uk
date 日付	July 18, 2015 11:18:40 UTC 2015 年 7 月 18 日 (土) 20 時 18 分 40 秒 (日本時間)
composite number 合成数	7477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<205>
prime factors 素因数	601297162122725474801142580770523436947825824192038710395100230689<66> 12436076949672272575046185232497024099679556465697611700443554323840781230992645298228820517247390898161982836160966025203359518156965453393<140>
factorization results 素因数分解の結果	Number: 74777_203 N=7477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777 ( 205 digits) SNFS difficulty: 206 digits. Divisors found: r1=601297162122725474801142580770523436947825824192038710395100230689 r2=12436076949672272575046185232497024099679556465697611700443554323840781230992645298228820517247390898161982836160966025203359518156965453393 Version: Total time: 575.97 hours. Scaled time: 3017.53 units (timescale=5.239). Factorization parameters were as follows: n: 7477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777 m: 10000000000000000000000000000000000 deg: 6 c6: 673 c0: -70 skew: 0.69 # Murphy_E = 4.84e-12 type: snfs lss: 1 rlim: 22000000 alim: 22000000 lpbr: 29 lpba: 29 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 22000000/22000000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 56/56 Sieved rational special-q in [11000000, 31900001) Primes: rational ideals reading, algebraic ideals reading, Relations: 42036163 Max relations in full relation-set: Initial matrix: Pruned matrix : 4134595 x 4134843 Total sieving time: 524.86 hours. Total relation processing time: 14.20 hours. Matrix solve time: 34.98 hours. Time per square root: 1.93 hours. Prototype def-par.txt line would be: snfs,206,6,0,0,0,0,0,0,0,0,22000000,22000000,29,29,56,56,2.6,2.6,100000 total time: 575.97 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04 Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.89 BogoMIPS (lpj=3399945) Total of 12 processors activated (81598.68 BogoMIPS).
software ソフトウェア	GGNFS / Msieve v1.39
execution environment 実行環境	Core i7-4930K

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	2400	300	Serge Batalov	January 9, 2015 00:02:43 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 43 秒 (日本時間)
40	3e6	2400	2100	Serge Batalov	January 10, 2015 20:09:00 UTC 2015 年 1 月 11 日 (日) 5 時 9 分 0 秒 (日本時間)
45	11e6	436		KTakahashi	March 9, 2015 01:19:18 UTC 2015 年 3 月 9 日 (月) 10 時 19 分 18 秒 (日本時間)
50	43e6	1000 / 7364		Serge Batalov	January 11, 2015 21:22:42 UTC 2015 年 1 月 12 日 (月) 6 時 22 分 42 秒 (日本時間)

673×10²⁰⁴-79

c205

name 名前	Bob Backstrom
date 日付	July 6, 2020 07:16:06 UTC 2020 年 7 月 6 日 (月) 16 時 16 分 6 秒 (日本時間)
composite number 合成数	2021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021<205>
prime factors 素因数	29170593254612491820912259748689228398903170876086825727096893856079262075242669771428766253609691<98> 69282822031788968538364391812853431312251701528043948241004789811284801653549831811991689635870127670766631<107>
factorization results 素因数分解の結果	Number: n N=2021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021 ( 205 digits) SNFS difficulty: 206 digits. Divisors found: Mon Jul 6 17:08:19 2020 p98 factor: 29170593254612491820912259748689228398903170876086825727096893856079262075242669771428766253609691 Mon Jul 6 17:08:19 2020 p107 factor: 69282822031788968538364391812853431312251701528043948241004789811284801653549831811991689635870127670766631 Mon Jul 6 17:08:19 2020 elapsed time 02:12:53 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.124). Factorization parameters were as follows: # # N = 673x10^204-7 = 747(204) # n: 2021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021 m: 10000000000000000000000000000000000 deg: 6 c6: 673 c0: -7 skew: 0.47 # Murphy_E = 8.448e-12 type: snfs lss: 1 rlim: 19600000 alim: 19600000 lpbr: 29 lpba: 29 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 19600000/19600000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 56/56 Sieved special-q in [100000, 28200000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 8155466 hash collisions in 62717128 relations (56469498 unique) Msieve: matrix is 2231534 x 2231759 (778.6 MB) Sieving start time: 2020/07/06 04:51:14 Sieving end time : 2020/07/06 14:53:47 Total sieving time: 10hrs 2min 33secs. Total relation processing time: 1hrs 50min 40sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 4min 13sec. Prototype def-par.txt line would be: snfs,206,6,0,0,0,0,0,0,0,0,19600000,19600000,29,29,56,56,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.150655] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1) [ 0.000000] Memory: 16283140K/16703460K available (12300K kernel code, 2481K rwdata, 4272K rodata, 2436K init, 2720K bss, 420320K reserved, 0K cma-reserved) [ 0.184724] x86/mm: Memory block size: 128MB [ 0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.65 BogoMIPS (lpj=11977304) [ 0.182225] smpboot: Total of 16 processors activated (95818.43 BogoMIPS)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	2401	300	Serge Batalov	January 9, 2015 00:02:43 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 43 秒 (日本時間)
			1	Cyp	January 9, 2015 00:09:59 UTC 2015 年 1 月 9 日 (金) 9 時 9 分 59 秒 (日本時間)
			2100	Serge Batalov	January 10, 2015 20:09:01 UTC 2015 年 1 月 11 日 (日) 5 時 9 分 1 秒 (日本時間)
45	11e6	0		-	-
50	43e6	3000 / 7462	1000	Serge Batalov	January 11, 2015 21:22:48 UTC 2015 年 1 月 12 日 (月) 6 時 22 分 48 秒 (日本時間)
50	43e6	3000 / 7462	2000	Serge Batalov	February 5, 2015 02:36:36 UTC 2015 年 2 月 5 日 (木) 11 時 36 分 36 秒 (日本時間)

673×10²⁰⁵-79

c173

name 名前	Bob Backstrom
date 日付	August 14, 2024 04:09:21 UTC 2024 年 8 月 14 日 (水) 13 時 9 分 21 秒 (日本時間)
composite number 合成数	11361689658488429965606330693681796629896034791372517853606581354376272319391734456195637162046398413189632887453458426151780579277614573286618593655636588396205691898540751<173>
prime factors 素因数	29109823570300877688951033841395355379192442227<47> 390304311912083364998924298959148262476899874744280045458097577535368585972986381816740264960533023780730445389999705814863413<126>
factorization results 素因数分解の結果	Number: n N=11361689658488429965606330693681796629896034791372517853606581354376272319391734456195637162046398413189632887453458426151780579277614573286618593655636588396205691898540751 ( 173 digits) SNFS difficulty: 207 digits. Divisors found: Wed Aug 14 11:12:29 2024 prp47 factor: 29109823570300877688951033841395355379192442227 Wed Aug 14 11:12:29 2024 prp126 factor: 390304311912083364998924298959148262476899874744280045458097577535368585972986381816740264960533023780730445389999705814863413 Wed Aug 14 11:12:29 2024 elapsed time 03:59:52 (Msieve 1.44 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=1.927). Factorization parameters were as follows: # # N = 673x10^205-7 = 747(205) # n: 11361689658488429965606330693681796629896034791372517853606581354376272319391734456195637162046398413189632887453458426151780579277614573286618593655636588396205691898540751 m: 100000000000000000000000000000000000000000 deg: 5 c5: 673 c0: -7 skew: 0.40 # Murphy_E = 5.74e-12 type: snfs lss: 1 rlim: 20000000 alim: 20000000 lpbr: 27 lpba: 27 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 q0: 35000000 qintsize: 50000 Factor base limits: 20000000/20000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 56/56 Sieved special-q in [35000000, 80200000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 8226195 hash collisions in 41207491 relations (32466749 unique) Msieve: matrix is 2665199 x 2665424 (735.5 MB) Sieving start time: 2024/08/12 17:30:11 Sieving end time : 2024/08/14 07:11:00 Total sieving time: 37hrs 40min 49secs. Total relation processing time: 3hrs 41min 35sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 6min 50sec. Prototype def-par.txt line would be: snfs,207,5,0,0,0,0,0,0,0,0,20000000,20000000,27,27,56,56,2.6,2.6,100000 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	118	Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	300	Serge Batalov	January 9, 2015 00:02:44 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 44 秒 (日本時間)
45	11e6	585 / 4409	Cyp	June 5, 2015 19:12:29 UTC 2015 年 6 月 6 日 (土) 4 時 12 分 29 秒 (日本時間)

673×10²⁰⁶-79

c205

name 名前	Bob Backstrom
date 日付	July 8, 2020 13:34:13 UTC 2020 年 7 月 8 日 (水) 22 時 34 分 13 秒 (日本時間)
composite number 合成数	3106679591930942159442367169828740248349720721968333102525042699533767252919724876517564510917232146978719475603563680007385865300281586114573235470618104602317315237963347643447352628906430318977057655911<205>
prime factors 素因数	249088226090653121066386353369803836600916671571475060900908938406612389364173<78> 12472205694701514260395902792083438309657982158337734149147710864189235254476809866060812188036229664666377939938313394548187907<128>
factorization results 素因数分解の結果	Number: n N=3106679591930942159442367169828740248349720721968333102525042699533767252919724876517564510917232146978719475603563680007385865300281586114573235470618104602317315237963347643447352628906430318977057655911 ( 205 digits) SNFS difficulty: 208 digits. Divisors found: Wed Jul 8 22:07:38 2020 p78 factor: 249088226090653121066386353369803836600916671571475060900908938406612389364173 Wed Jul 8 22:07:38 2020 p128 factor: 12472205694701514260395902792083438309657982158337734149147710864189235254476809866060812188036229664666377939938313394548187907 Wed Jul 8 22:07:38 2020 elapsed time 04:23:56 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.123). Factorization parameters were as follows: # # N = 673x10^206-7 = 747(206) # n: 3106679591930942159442367169828740248349720721968333102525042699533767252919724876517564510917232146978719475603563680007385865300281586114573235470618104602317315237963347643447352628906430318977057655911 m: 100000000000000000000000000000000000000000 deg: 5 c5: 6730 c0: -7 skew: 0.25 # Murphy_E = 4.254e-12 type: snfs lss: 1 rlim: 21000000 alim: 21000000 lpbr: 29 lpba: 29 mfbr: 57 mfba: 57 rlambda: 2.6 alambda: 2.6 Factor base limits: 21000000/21000000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 57/57 Sieved special-q in [100000, 57700000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 9139502 hash collisions in 57935047 relations (50648207 unique) Msieve: matrix is 3173196 x 3173423 (1112.2 MB) Sieving start time: 2020/07/07 16:49:48 Sieving end time : 2020/07/08 17:42:44 Total sieving time: 24hrs 52min 56secs. Total relation processing time: 4hrs 1min 12sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 5min 33sec. Prototype def-par.txt line would be: snfs,208,5,0,0,0,0,0,0,0,0,21000000,21000000,29,29,57,57,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.150655] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1) [ 0.000000] Memory: 16283140K/16703460K available (12300K kernel code, 2481K rwdata, 4272K rodata, 2436K init, 2720K bss, 420320K reserved, 0K cma-reserved) [ 0.184724] x86/mm: Memory block size: 128MB [ 0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.65 BogoMIPS (lpj=11977304) [ 0.182225] smpboot: Total of 16 processors activated (95818.43 BogoMIPS)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	2400	300	Serge Batalov	January 9, 2015 00:02:45 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 45 秒 (日本時間)
40	3e6	2400	2100	Serge Batalov	January 10, 2015 20:09:01 UTC 2015 年 1 月 11 日 (日) 5 時 9 分 1 秒 (日本時間)

673×10²⁰⁷-79

c161

composite cofactor 合成数の残り	31886240778289992467706125641228484901070201235513155636782013024013197019076909297258637832751168799630312206892555127941084478246783246457114659434748199190177<161>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	301	300	Serge Batalov	January 9, 2015 00:02:45 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 45 秒 (日本時間)
40	3e6	301	1	Cyp	January 9, 2015 00:42:42 UTC 2015 年 1 月 9 日 (金) 9 時 42 分 42 秒 (日本時間)
45	11e6	585 / 4409		Cyp	July 21, 2015 11:40:19 UTC 2015 年 7 月 21 日 (火) 20 時 40 分 19 秒 (日本時間)

673×10²⁰⁸-79

c191

name 名前	Bob Backstrom
date 日付	July 25, 2021 18:20:46 UTC 2021 年 7 月 26 日 (月) 3 時 20 分 46 秒 (日本時間)
composite number 合成数	38273562416782183878203495102422911572504591484528417632392892753284719513650378777076209893379153030614108897553099746256467363190800814608053467910931654652886097481434639009635881165054957<191>
prime factors 素因数	7846380754277663718013186862693421641640139420989096349272814908883<67> 4877861986995256460752070310365543005818329647273767492078635632959979347850167142002443079049185384812973790634684463900479<124>
factorization results 素因数分解の結果	Number: n N=38273562416782183878203495102422911572504591484528417632392892753284719513650378777076209893379153030614108897553099746256467363190800814608053467910931654652886097481434639009635881165054957 ( 191 digits) SNFS difficulty: 210 digits. Divisors found: Mon Jul 26 04:04:26 2021 p67 factor: 7846380754277663718013186862693421641640139420989096349272814908883 Mon Jul 26 04:04:26 2021 p124 factor: 4877861986995256460752070310365543005818329647273767492078635632959979347850167142002443079049185384812973790634684463900479 Mon Jul 26 04:04:26 2021 elapsed time 08:29:56 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.351). Factorization parameters were as follows: # # N = 673x10^208-7 = 747(208) # n: 38273562416782183878203495102422911572504591484528417632392892753284719513650378777076209893379153030614108897553099746256467363190800814608053467910931654652886097481434639009635881165054957 m: 100000000000000000000000000000000000000000 deg: 5 c5: 673000 c0: -7 skew: 0.10 # Murphy_E = 2.974e-12 type: snfs lss: 1 rlim: 23000000 alim: 23000000 lpbr: 29 lpba: 29 mfbr: 57 mfba: 57 rlambda: 2.6 alambda: 2.6 Factor base limits: 23000000/23000000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 57/57 Sieved special-q in [100000, 53100000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 7465104 hash collisions in 47939415 relations (41872903 unique) Msieve: matrix is 4462533 x 4462758 (1568.6 MB) Sieving start time : 2021/07/24 22:20:04 Sieving end time : 2021/07/25 19:33:41 Total sieving time: 21hrs 13min 37secs. Total relation processing time: 8hrs 6min 2sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 10min 1sec. Prototype def-par.txt line would be: snfs,210,5,0,0,0,0,0,0,0,0,23000000,23000000,29,29,57,57,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.118191] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16239972K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2736K init, 4964K bss, 487264K reserved, 0K cma-reserved) [ 0.153502] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.23 BogoMIPS (lpj=12798472) [ 0.152038] smpboot: Total of 16 processors activated (102387.77 BogoMIPS)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	301	300	Serge Batalov	January 9, 2015 00:02:46 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 46 秒 (日本時間)
40	3e6	301	1	Cyp	January 9, 2015 00:30:16 UTC 2015 年 1 月 9 日 (金) 9 時 30 分 16 秒 (日本時間)
45	11e6	585 / 4409		Cyp	May 22, 2015 14:25:14 UTC 2015 年 5 月 22 日 (金) 23 時 25 分 14 秒 (日本時間)

673×10²¹⁰-79

c146

name 名前	Serge Batalov
date 日付	January 9, 2015 03:48:47 UTC 2015 年 1 月 9 日 (金) 12 時 48 分 47 秒 (日本時間)
composite number 合成数	14191012471034725564940927019652061098843886531174006302106283212028932647564030953673916050296248533219015461305694563524892435850243628267581263<146>
prime factors 素因数	41060775338202772281172817556277763<35>
composite cofactor 合成数の残り	345609949012128550449529179565114527721523354193025844068812250398209338765470445176574610503535508557652994501<111>
factorization results 素因数分解の結果	Input number is 14191012471034725564940927019652061098843886531174006302106283212028932647564030953673916050296248533219015461305694563524892435850243628267581263 (146 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2566626223 Step 1 took 9295ms Step 2 took 7500ms ********** Factor found in step 2: 41060775338202772281172817556277763 Found probable prime factor of 35 digits: 41060775338202772281172817556277763 Composite cofactor 345609949012128550449529179565114527721523354193025844068812250398209338765470445176574610503535508557652994501 has 111 digits

c111

name 名前	Cyp
date 日付	January 10, 2015 13:10:26 UTC 2015 年 1 月 10 日 (土) 22 時 10 分 26 秒 (日本時間)
composite number 合成数	345609949012128550449529179565114527721523354193025844068812250398209338765470445176574610503535508557652994501<111>
prime factors 素因数	112723693662724900764326865676923281<36> 3065992053509276626018445670207093644582875140481570091554707948165111077621<76>
factorization results 素因数分解の結果	01/10/15 12:16:52 v1.34.3, 01/10/15 12:16:52 v1.34.3, ************************** 01/10/15 12:16:52 v1.34.3, Starting factorization of 345609949012128550449529179565114527721523354193025844068812250398209338765470445176574610503535508557652994501 01/10/15 12:16:52 v1.34.3, using pretesting plan: none 01/10/15 12:16:52 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 01/10/15 12:16:52 v1.34.3, ************************** 01/10/15 12:16:52 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C111 01/10/15 12:16:52 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C111 01/10/15 12:16:52 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C111 01/10/15 12:16:52 v1.34.3, final ECM pretested depth: 0.00 01/10/15 12:16:52 v1.34.3, scheduler: switching to sieve method 01/10/15 12:16:52 v1.34.3, nfs: commencing nfs on c111: 345609949012128550449529179565114527721523354193025844068812250398209338765470445176574610503535508557652994501 01/10/15 12:16:52 v1.34.3, nfs: commencing poly selection with 8 threads 01/10/15 12:16:52 v1.34.3, nfs: setting deadline of 525 seconds 01/10/15 12:25:44 v1.34.3, nfs: completed 153 ranges of size 250 in 531.5109 seconds 01/10/15 12:25:44 v1.34.3, nfs: best poly = # norm 1.608741e-10 alpha -5.379128 e 9.162e-10 rroots 3 01/10/15 12:25:44 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/10/15 12:30:41 v1.34.3, nfs: commencing lattice sieving with 8 threads [11 lines snipped] 01/10/15 13:32:31 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/10/15 13:38:06 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/10/15 13:43:28 v1.34.3, nfs: commencing msieve filtering 01/10/15 13:44:15 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/10/15 13:49:41 v1.34.3, nfs: commencing msieve filtering 01/10/15 13:50:30 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/10/15 13:55:51 v1.34.3, nfs: commencing msieve filtering 01/10/15 13:56:42 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/10/15 14:02:17 v1.34.3, nfs: commencing msieve filtering 01/10/15 14:03:25 v1.34.3, nfs: commencing msieve linear algebra 01/10/15 14:08:41 v1.34.3, nfs: commencing msieve sqrt 01/10/15 14:10:25 v1.34.3, prp76 = 3065992053509276626018445670207093644582875140481570091554707948165111077621 01/10/15 14:10:25 v1.34.3, prp36 = 112723693662724900764326865676923281 01/10/15 14:10:25 v1.34.3, NFS elapsed time = 6812.3549 seconds. 01/10/15 14:10:25 v1.34.3, 01/10/15 14:10:25 v1.34.3, 01/10/15 14:10:25 v1.34.3, Total factoring time = 6812.3772 seconds -- Sat Jan 10 13:43:28 2015 Sat Jan 10 13:43:28 2015 commencing relation filtering Sat Jan 10 13:43:28 2015 estimated available RAM is 15987.3 MB Sat Jan 10 13:43:28 2015 commencing duplicate removal, pass 1 Sat Jan 10 13:43:42 2015 found 438444 hash collisions in 4695093 relations Sat Jan 10 13:43:47 2015 added 32393 free relations Sat Jan 10 13:43:47 2015 commencing duplicate removal, pass 2 Sat Jan 10 13:43:51 2015 found 184319 duplicates and 4543167 unique relations Sat Jan 10 13:43:51 2015 memory use: 20.6 MB Sat Jan 10 13:43:51 2015 reading ideals above 100000 Sat Jan 10 13:43:51 2015 commencing singleton removal, initial pass Sat Jan 10 13:44:12 2015 memory use: 172.2 MB Sat Jan 10 13:44:12 2015 reading all ideals from disk Sat Jan 10 13:44:12 2015 memory use: 153.4 MB Sat Jan 10 13:44:13 2015 keeping 5468109 ideals with weight <= 200, target excess is 24756 Sat Jan 10 13:44:13 2015 commencing in-memory singleton removal Sat Jan 10 13:44:13 2015 begin with 4543167 relations and 5468109 unique ideals Sat Jan 10 13:44:15 2015 reduce to 816445 relations and 972704 ideals in 51 passes Sat Jan 10 13:44:15 2015 max relations containing the same ideal: 57 Sat Jan 10 13:49:41 2015 Sat Jan 10 13:49:41 2015 commencing relation filtering Sat Jan 10 13:49:41 2015 estimated available RAM is 15987.3 MB Sat Jan 10 13:49:41 2015 commencing duplicate removal, pass 1 Sat Jan 10 13:49:57 2015 found 495547 hash collisions in 5033991 relations Sat Jan 10 13:50:02 2015 added 68 free relations Sat Jan 10 13:50:02 2015 commencing duplicate removal, pass 2 Sat Jan 10 13:50:06 2015 found 207200 duplicates and 4826859 unique relations Sat Jan 10 13:50:06 2015 memory use: 20.6 MB Sat Jan 10 13:50:06 2015 reading ideals above 100000 Sat Jan 10 13:50:06 2015 commencing singleton removal, initial pass Sat Jan 10 13:50:27 2015 memory use: 172.2 MB Sat Jan 10 13:50:27 2015 reading all ideals from disk Sat Jan 10 13:50:27 2015 memory use: 163.0 MB Sat Jan 10 13:50:28 2015 keeping 5602712 ideals with weight <= 200, target excess is 25841 Sat Jan 10 13:50:28 2015 commencing in-memory singleton removal Sat Jan 10 13:50:28 2015 begin with 4826859 relations and 5602712 unique ideals Sat Jan 10 13:50:30 2015 reduce to 1325916 relations and 1417737 ideals in 30 passes Sat Jan 10 13:50:30 2015 max relations containing the same ideal: 82 Sat Jan 10 13:55:51 2015 Sat Jan 10 13:55:51 2015 commencing relation filtering Sat Jan 10 13:55:51 2015 estimated available RAM is 15987.3 MB Sat Jan 10 13:55:51 2015 commencing duplicate removal, pass 1 Sat Jan 10 13:56:08 2015 found 550590 hash collisions in 5337178 relations Sat Jan 10 13:56:13 2015 added 52 free relations Sat Jan 10 13:56:13 2015 commencing duplicate removal, pass 2 Sat Jan 10 13:56:17 2015 found 230774 duplicates and 5106456 unique relations Sat Jan 10 13:56:17 2015 memory use: 20.6 MB Sat Jan 10 13:56:17 2015 reading ideals above 100000 Sat Jan 10 13:56:17 2015 commencing singleton removal, initial pass Sat Jan 10 13:56:39 2015 memory use: 172.2 MB Sat Jan 10 13:56:40 2015 reading all ideals from disk Sat Jan 10 13:56:40 2015 memory use: 172.5 MB Sat Jan 10 13:56:40 2015 keeping 5726202 ideals with weight <= 200, target excess is 27036 Sat Jan 10 13:56:40 2015 commencing in-memory singleton removal Sat Jan 10 13:56:40 2015 begin with 5106456 relations and 5726202 unique ideals Sat Jan 10 13:56:42 2015 reduce to 1739264 relations and 1745761 ideals in 18 passes Sat Jan 10 13:56:42 2015 max relations containing the same ideal: 102 Sat Jan 10 14:02:17 2015 Sat Jan 10 14:02:17 2015 commencing relation filtering Sat Jan 10 14:02:17 2015 estimated available RAM is 15987.3 MB Sat Jan 10 14:02:17 2015 commencing duplicate removal, pass 1 Sat Jan 10 14:02:34 2015 found 610426 hash collisions in 5655278 relations Sat Jan 10 14:02:39 2015 added 44 free relations Sat Jan 10 14:02:39 2015 commencing duplicate removal, pass 2 Sat Jan 10 14:02:44 2015 found 256905 duplicates and 5398417 unique relations Sat Jan 10 14:02:44 2015 memory use: 20.6 MB Sat Jan 10 14:02:44 2015 reading ideals above 100000 Sat Jan 10 14:02:44 2015 commencing singleton removal, initial pass Sat Jan 10 14:03:07 2015 memory use: 172.2 MB Sat Jan 10 14:03:08 2015 reading all ideals from disk Sat Jan 10 14:03:08 2015 memory use: 182.5 MB Sat Jan 10 14:03:08 2015 keeping 5846121 ideals with weight <= 200, target excess is 28381 Sat Jan 10 14:03:08 2015 commencing in-memory singleton removal Sat Jan 10 14:03:09 2015 begin with 5398417 relations and 5846121 unique ideals Sat Jan 10 14:03:10 2015 reduce to 2155369 relations and 2054414 ideals in 17 passes Sat Jan 10 14:03:10 2015 max relations containing the same ideal: 116 Sat Jan 10 14:03:11 2015 removing 308884 relations and 274867 ideals in 34017 cliques Sat Jan 10 14:03:11 2015 commencing in-memory singleton removal Sat Jan 10 14:03:11 2015 begin with 1846485 relations and 2054414 unique ideals Sat Jan 10 14:03:12 2015 reduce to 1808083 relations and 1740287 ideals in 12 passes Sat Jan 10 14:03:12 2015 max relations containing the same ideal: 99 Sat Jan 10 14:03:12 2015 removing 230253 relations and 196236 ideals in 34017 cliques Sat Jan 10 14:03:12 2015 commencing in-memory singleton removal Sat Jan 10 14:03:12 2015 begin with 1577830 relations and 1740287 unique ideals Sat Jan 10 14:03:13 2015 reduce to 1551756 relations and 1517486 ideals in 9 passes Sat Jan 10 14:03:13 2015 max relations containing the same ideal: 90 Sat Jan 10 14:03:13 2015 relations with 0 large ideals: 95 Sat Jan 10 14:03:13 2015 relations with 1 large ideals: 180 Sat Jan 10 14:03:13 2015 relations with 2 large ideals: 2836 Sat Jan 10 14:03:13 2015 relations with 3 large ideals: 24576 Sat Jan 10 14:03:13 2015 relations with 4 large ideals: 114263 Sat Jan 10 14:03:13 2015 relations with 5 large ideals: 300390 Sat Jan 10 14:03:13 2015 relations with 6 large ideals: 455887 Sat Jan 10 14:03:13 2015 relations with 7+ large ideals: 653529 Sat Jan 10 14:03:13 2015 commencing 2-way merge Sat Jan 10 14:03:14 2015 reduce to 884728 relation sets and 850459 unique ideals Sat Jan 10 14:03:14 2015 ignored 1 oversize relation sets Sat Jan 10 14:03:14 2015 commencing full merge Sat Jan 10 14:03:21 2015 memory use: 95.1 MB Sat Jan 10 14:03:21 2015 found 433259 cycles, need 428659 Sat Jan 10 14:03:21 2015 weight of 428659 cycles is about 30042273 (70.08/cycle) Sat Jan 10 14:03:21 2015 distribution of cycle lengths: Sat Jan 10 14:03:21 2015 1 relations: 48587 Sat Jan 10 14:03:21 2015 2 relations: 48649 Sat Jan 10 14:03:21 2015 3 relations: 48629 Sat Jan 10 14:03:21 2015 4 relations: 43132 Sat Jan 10 14:03:21 2015 5 relations: 39457 Sat Jan 10 14:03:21 2015 6 relations: 33158 Sat Jan 10 14:03:21 2015 7 relations: 29729 Sat Jan 10 14:03:21 2015 8 relations: 25191 Sat Jan 10 14:03:21 2015 9 relations: 21417 Sat Jan 10 14:03:21 2015 10+ relations: 90710 Sat Jan 10 14:03:21 2015 heaviest cycle: 23 relations Sat Jan 10 14:03:22 2015 commencing cycle optimization Sat Jan 10 14:03:22 2015 start with 2650853 relations Sat Jan 10 14:03:24 2015 pruned 53980 relations Sat Jan 10 14:03:24 2015 memory use: 89.2 MB Sat Jan 10 14:03:24 2015 distribution of cycle lengths: Sat Jan 10 14:03:24 2015 1 relations: 48587 Sat Jan 10 14:03:24 2015 2 relations: 49610 Sat Jan 10 14:03:24 2015 3 relations: 50249 Sat Jan 10 14:03:24 2015 4 relations: 43885 Sat Jan 10 14:03:24 2015 5 relations: 40201 Sat Jan 10 14:03:24 2015 6 relations: 33523 Sat Jan 10 14:03:24 2015 7 relations: 29902 Sat Jan 10 14:03:24 2015 8 relations: 25031 Sat Jan 10 14:03:24 2015 9 relations: 21315 Sat Jan 10 14:03:24 2015 10+ relations: 86356 Sat Jan 10 14:03:24 2015 heaviest cycle: 23 relations Sat Jan 10 14:03:25 2015 RelProcTime: 68 Sat Jan 10 14:03:25 2015 Sat Jan 10 14:03:25 2015 commencing linear algebra Sat Jan 10 14:03:25 2015 read 428659 cycles Sat Jan 10 14:03:25 2015 cycles contain 1503763 unique relations Sat Jan 10 14:03:32 2015 read 1503763 relations Sat Jan 10 14:03:33 2015 using 20 quadratic characters above 67107810 Sat Jan 10 14:03:38 2015 building initial matrix Sat Jan 10 14:03:46 2015 memory use: 189.9 MB Sat Jan 10 14:03:46 2015 read 428659 cycles Sat Jan 10 14:03:46 2015 matrix is 428489 x 428659 (129.8 MB) with weight 41075016 (95.82/col) Sat Jan 10 14:03:46 2015 sparse part has weight 28876415 (67.36/col) Sat Jan 10 14:03:48 2015 filtering completed in 2 passes Sat Jan 10 14:03:48 2015 matrix is 427716 x 427889 (129.7 MB) with weight 41043021 (95.92/col) Sat Jan 10 14:03:48 2015 sparse part has weight 28867423 (67.46/col) Sat Jan 10 14:03:49 2015 matrix starts at (0, 0) Sat Jan 10 14:03:49 2015 matrix is 427716 x 427889 (129.7 MB) with weight 41043021 (95.92/col) Sat Jan 10 14:03:49 2015 sparse part has weight 28867423 (67.46/col) Sat Jan 10 14:03:49 2015 saving the first 48 matrix rows for later Sat Jan 10 14:03:49 2015 matrix includes 64 packed rows Sat Jan 10 14:03:49 2015 matrix is 427668 x 427889 (124.2 MB) with weight 32762300 (76.57/col) Sat Jan 10 14:03:49 2015 sparse part has weight 28285719 (66.11/col) Sat Jan 10 14:03:49 2015 using block size 65536 for processor cache size 8192 kB Sat Jan 10 14:03:50 2015 commencing Lanczos iteration (8 threads) Sat Jan 10 14:03:50 2015 memory use: 118.0 MB Sat Jan 10 14:03:59 2015 linear algebra at 2.8%, ETA 0h 5m Sat Jan 10 14:08:40 2015 lanczos halted after 6767 iterations (dim = 427664) Sat Jan 10 14:08:41 2015 recovered 34 nontrivial dependencies Sat Jan 10 14:08:41 2015 BLanczosTime: 316 Sat Jan 10 14:08:41 2015 Sat Jan 10 14:08:41 2015 commencing square root phase Sat Jan 10 14:08:41 2015 reading relations for dependency 1 Sat Jan 10 14:08:41 2015 read 213745 cycles Sat Jan 10 14:08:41 2015 cycles contain 749638 unique relations Sat Jan 10 14:08:46 2015 read 749638 relations Sat Jan 10 14:08:48 2015 multiplying 749638 relations Sat Jan 10 14:09:08 2015 multiply complete, coefficients have about 28.58 million bits Sat Jan 10 14:09:08 2015 initial square root is modulo 161307187 Sat Jan 10 14:09:32 2015 GCD is N, no factor found Sat Jan 10 14:09:32 2015 reading relations for dependency 2 Sat Jan 10 14:09:32 2015 read 213996 cycles Sat Jan 10 14:09:33 2015 cycles contain 751682 unique relations Sat Jan 10 14:09:38 2015 read 751682 relations Sat Jan 10 14:09:40 2015 multiplying 751682 relations Sat Jan 10 14:09:58 2015 multiply complete, coefficients have about 28.66 million bits Sat Jan 10 14:09:58 2015 initial square root is modulo 169933927 Sat Jan 10 14:10:25 2015 sqrtTime: 104 -- n: 345609949012128550449529179565114527721523354193025844068812250398209338765470445176574610503535508557652994501 skew: 92384.65 c0: -180863013759816192512912145 c1: -35616190457808188800995 c2: -184256468925638938 c3: 539508571409 c4: -68496771 c5: 360 Y0: -3948724856138693486548 Y1: 30219490159 rlim: 3460000 alim: 3460000 lpbr: 26 lpba: 26 mfbr: 52 mfba: 52 rlambda: 2.5 alambda: 2.5
software ソフトウェア	yafu v1.34.3
execution environment 実行環境	Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	301 / 2318	300	Serge Batalov	January 9, 2015 00:02:46 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 46 秒 (日本時間)
40	3e6	301 / 2318	1	Cyp	January 9, 2015 00:28:28 UTC 2015 年 1 月 9 日 (金) 9 時 28 分 28 秒 (日本時間)

673×10²¹¹-79

c152

name 名前	Bob Backstrom
date 日付	June 22, 2022 02:39:10 UTC 2022 年 6 月 22 日 (水) 11 時 39 分 10 秒 (日本時間)
composite number 合成数	55314487935012751736069416016483118470611736496825182891544797625258765637112336053581426486407736955073759350349470159462413206449019239065717660314417<152>
prime factors 素因数	456128421691170316774089622110891692381587<42> 121269548891352330824793039103584257142552380880795241602638693221731283727397982867681825488397802755927570091<111>
factorization results 素因数分解の結果	GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM] Input number is 55314487935012751736069416016483118470611736496825182891544797625258765637112336053581426486407736955073759350349470159462413206449019239065717660314417 (152 digits) Using B1=16470000, B2=58558792120, polynomial Dickson(12), sigma=1:2153870823 Step 1 took 27735ms Step 2 took 11879ms ********** Factor found in step 2: 456128421691170316774089622110891692381587 Found prime factor of 42 digits: 456128421691170316774089622110891692381587 Prime cofactor 121269548891352330824793039103584257142552380880795241602638693221731283727397982867681825488397802755927570091 has 111 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	301	300	Serge Batalov	January 9, 2015 00:02:47 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 47 秒 (日本時間)
40	3e6	301	1	Cyp	January 9, 2015 00:15:40 UTC 2015 年 1 月 9 日 (金) 9 時 15 分 40 秒 (日本時間)
45	11e6	585 / 4409		Cyp	July 6, 2015 06:04:05 UTC 2015 年 7 月 6 日 (月) 15 時 4 分 5 秒 (日本時間)

673×10²¹⁴-79

c197

composite cofactor 合成数の残り

13742914166894001847658317566708404832078202630094777927114587852085598064620804198621422408109645343430000504703289518331274550822755885553319687927424254074560486839578563709110676722298166362569<197>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	301	300	Serge Batalov	January 9, 2015 00:02:47 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 47 秒 (日本時間)
40	3e6	301	1	Cyp	January 9, 2015 00:23:14 UTC 2015 年 1 月 9 日 (金) 9 時 23 分 14 秒 (日本時間)
45	11e6	585 / 4409		Cyp	January 26, 2015 17:43:55 UTC 2015 年 1 月 27 日 (火) 2 時 43 分 55 秒 (日本時間)

673×10²¹⁵-79

c217

name 名前	Alfred Reich
date 日付	February 25, 2017 15:39:04 UTC 2017 年 2 月 26 日 (日) 0 時 39 分 4 秒 (日本時間)
composite number 合成数	7477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<217>
prime factors 素因数	2899708525743448138750513834273051718459701701632174373080214267013049817300144137674371511<91> 2578803252599525084828617275190913720452916922012049839314915483801266096903330520458763162421202434048621007185106449704125207<127>
factorization results 素因数分解の結果	# siever: 14e # qrange: 10M .. 50M # params: lim: 31000000, lpb: 30, mfb: 58, lambda: 2.6 Mon Feb 20 10:34:16 2017 Mon Feb 20 10:34:16 2017 Mon Feb 20 10:34:16 2017 Msieve v. 1.53 (SVN 988) Mon Feb 20 10:34:16 2017 random seeds: 55abfb38 d33b91b7 Mon Feb 20 10:34:16 2017 factoring 7477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777 (217 digits) Mon Feb 20 10:34:18 2017 searching for 15-digit factors Mon Feb 20 10:34:19 2017 commencing number field sieve (217-digit input) Mon Feb 20 10:34:19 2017 R0: -1000000000000000000000000000000000000 Mon Feb 20 10:34:19 2017 R1: 1 Mon Feb 20 10:34:19 2017 A0: -70 Mon Feb 20 10:34:19 2017 A1: 0 Mon Feb 20 10:34:19 2017 A2: 0 Mon Feb 20 10:34:19 2017 A3: 0 Mon Feb 20 10:34:19 2017 A4: 0 Mon Feb 20 10:34:19 2017 A5: 0 Mon Feb 20 10:34:19 2017 A6: 673 Mon Feb 20 10:34:19 2017 skew 0.69, size 4.419e-011, alpha 0.167, combined = 1.884e-012 rroots = 2 Mon Feb 20 10:34:19 2017 Mon Feb 20 10:34:19 2017 commencing relation filtering Mon Feb 20 10:34:19 2017 estimated available RAM is 24567.3 MB Mon Feb 20 10:34:19 2017 commencing duplicate removal, pass 1 Mon Feb 20 10:50:34 2017 skipped 3 relations with b > 2^32 Mon Feb 20 10:50:34 2017 skipped 9 relations with composite factors Mon Feb 20 10:50:34 2017 found 15984555 hash collisions in 84325912 relations Mon Feb 20 10:50:53 2017 added 1219867 free relations Mon Feb 20 10:50:54 2017 commencing duplicate removal, pass 2 Mon Feb 20 10:51:46 2017 found 17694674 duplicates and 67851105 unique relations Mon Feb 20 10:51:46 2017 memory use: 426.4 MB Mon Feb 20 10:51:47 2017 reading ideals above 720000 Mon Feb 20 10:51:48 2017 commencing singleton removal, initial pass Mon Feb 20 11:04:13 2017 memory use: 1506.0 MB Mon Feb 20 11:04:13 2017 reading all ideals from disk Mon Feb 20 11:04:15 2017 memory use: 2469.7 MB Mon Feb 20 11:04:23 2017 keeping 72888662 ideals with weight <= 200, target excess is 361534 Mon Feb 20 11:04:32 2017 commencing in-memory singleton removal Mon Feb 20 11:04:39 2017 begin with 67851105 relations and 72888662 unique ideals Mon Feb 20 11:05:46 2017 reduce to 26948270 relations and 25769225 ideals in 19 passes Mon Feb 20 11:05:47 2017 max relations containing the same ideal: 112 Mon Feb 20 11:06:04 2017 removing 3492705 relations and 3112872 ideals in 379833 cliques Mon Feb 20 11:06:05 2017 commencing in-memory singleton removal Mon Feb 20 11:06:08 2017 begin with 23455565 relations and 25769225 unique ideals Mon Feb 20 11:06:38 2017 reduce to 23020975 relations and 22212777 ideals in 12 passes Mon Feb 20 11:06:38 2017 max relations containing the same ideal: 101 Mon Feb 20 11:06:53 2017 removing 2608011 relations and 2228178 ideals in 379833 cliques Mon Feb 20 11:06:54 2017 commencing in-memory singleton removal Mon Feb 20 11:06:56 2017 begin with 20412964 relations and 22212777 unique ideals Mon Feb 20 11:07:18 2017 reduce to 20148766 relations and 19715737 ideals in 10 passes Mon Feb 20 11:07:18 2017 max relations containing the same ideal: 90 Mon Feb 20 11:07:30 2017 removing 157700 relations and 144051 ideals in 13649 cliques Mon Feb 20 11:07:31 2017 commencing in-memory singleton removal Mon Feb 20 11:07:33 2017 begin with 19991066 relations and 19715737 unique ideals Mon Feb 20 11:07:45 2017 reduce to 19990196 relations and 19570814 ideals in 6 passes Mon Feb 20 11:07:45 2017 max relations containing the same ideal: 90 Mon Feb 20 11:07:50 2017 relations with 0 large ideals: 12756 Mon Feb 20 11:07:50 2017 relations with 1 large ideals: 7069 Mon Feb 20 11:07:50 2017 relations with 2 large ideals: 66449 Mon Feb 20 11:07:50 2017 relations with 3 large ideals: 469743 Mon Feb 20 11:07:50 2017 relations with 4 large ideals: 1807222 Mon Feb 20 11:07:50 2017 relations with 5 large ideals: 4067704 Mon Feb 20 11:07:50 2017 relations with 6 large ideals: 5515230 Mon Feb 20 11:07:50 2017 relations with 7+ large ideals: 8044023 Mon Feb 20 11:07:50 2017 commencing 2-way merge Mon Feb 20 11:08:08 2017 reduce to 11690852 relation sets and 11271470 unique ideals Mon Feb 20 11:08:08 2017 commencing full merge Mon Feb 20 11:11:54 2017 memory use: 1402.7 MB Mon Feb 20 11:11:56 2017 found 6206229 cycles, need 6151670 Mon Feb 20 11:11:56 2017 weight of 6151670 cycles is about 430844188 (70.04/cycle) Mon Feb 20 11:11:57 2017 distribution of cycle lengths: Mon Feb 20 11:11:57 2017 1 relations: 915239 Mon Feb 20 11:11:57 2017 2 relations: 808919 Mon Feb 20 11:11:57 2017 3 relations: 752640 Mon Feb 20 11:11:57 2017 4 relations: 647389 Mon Feb 20 11:11:57 2017 5 relations: 553166 Mon Feb 20 11:11:57 2017 6 relations: 464541 Mon Feb 20 11:11:57 2017 7 relations: 392944 Mon Feb 20 11:11:57 2017 8 relations: 328268 Mon Feb 20 11:11:57 2017 9 relations: 271453 Mon Feb 20 11:11:57 2017 10+ relations: 1017111 Mon Feb 20 11:11:57 2017 heaviest cycle: 23 relations Mon Feb 20 11:11:58 2017 commencing cycle optimization Mon Feb 20 11:12:07 2017 start with 33740778 relations Mon Feb 20 11:13:09 2017 pruned 660308 relations Mon Feb 20 11:13:10 2017 memory use: 1151.0 MB Mon Feb 20 11:13:10 2017 distribution of cycle lengths: Mon Feb 20 11:13:10 2017 1 relations: 915239 Mon Feb 20 11:13:10 2017 2 relations: 823672 Mon Feb 20 11:13:10 2017 3 relations: 774373 Mon Feb 20 11:13:10 2017 4 relations: 657676 Mon Feb 20 11:13:10 2017 5 relations: 561825 Mon Feb 20 11:13:10 2017 6 relations: 467811 Mon Feb 20 11:13:10 2017 7 relations: 393975 Mon Feb 20 11:13:10 2017 8 relations: 325971 Mon Feb 20 11:13:10 2017 9 relations: 268523 Mon Feb 20 11:13:10 2017 10+ relations: 962605 Mon Feb 20 11:13:10 2017 heaviest cycle: 23 relations Mon Feb 20 11:13:23 2017 RelProcTime: 2344 Mon Feb 20 11:13:23 2017 Mon Feb 20 11:13:23 2017 commencing linear algebra Mon Feb 20 11:13:24 2017 read 6151670 cycles Mon Feb 20 11:13:36 2017 cycles contain 19568900 unique relations Mon Feb 20 11:16:50 2017 read 19568900 relations Mon Feb 20 11:17:25 2017 using 20 quadratic characters above 4294917295 Mon Feb 20 11:19:02 2017 building initial matrix Mon Feb 20 11:22:11 2017 memory use: 2510.8 MB Mon Feb 20 11:22:20 2017 read 6151670 cycles Mon Feb 20 11:22:21 2017 matrix is 6151403 x 6151670 (1854.0 MB) with weight 551016810 (89.57/col) Mon Feb 20 11:22:21 2017 sparse part has weight 418353218 (68.01/col) Mon Feb 20 11:23:53 2017 filtering completed in 3 passes Mon Feb 20 11:23:54 2017 matrix is 6143428 x 6143628 (1853.3 MB) with weight 550754483 (89.65/col) Mon Feb 20 11:23:54 2017 sparse part has weight 418264277 (68.08/col) Mon Feb 20 11:25:10 2017 matrix starts at (0, 0) Mon Feb 20 11:25:11 2017 matrix is 6143428 x 6143628 (1853.3 MB) with weight 550754483 (89.65/col) Mon Feb 20 11:25:11 2017 sparse part has weight 418264277 (68.08/col) Mon Feb 20 11:25:11 2017 saving the first 48 matrix rows for later Mon Feb 20 11:25:12 2017 matrix includes 64 packed rows Mon Feb 20 11:25:13 2017 matrix is 6143380 x 6143628 (1777.6 MB) with weight 440992957 (71.78/col) Mon Feb 20 11:25:13 2017 sparse part has weight 404551053 (65.85/col) Mon Feb 20 11:25:13 2017 using block size 8192 and superblock size 1179648 for processor cache size 12288 kB Mon Feb 20 11:25:40 2017 commencing Lanczos iteration (12 threads) Mon Feb 20 11:25:40 2017 memory use: 1462.1 MB Mon Feb 20 11:25:54 2017 linear algebra at 0.0%, ETA 14h36m Mon Feb 20 11:25:59 2017 checkpointing every 410000 dimensions Tue Feb 21 04:38:27 2017 lanczos halted after 97155 iterations (dim = 6143378) Tue Feb 21 04:38:48 2017 recovered 33 nontrivial dependencies Tue Feb 21 04:39:09 2017 BLanczosTime: 62746 Tue Feb 21 04:39:09 2017 Tue Feb 21 04:39:09 2017 commencing square root phase Tue Feb 21 04:39:09 2017 reading relations for dependency 1 Tue Feb 21 04:39:14 2017 read 3071840 cycles Tue Feb 21 04:39:20 2017 cycles contain 9782372 unique relations Tue Feb 21 04:43:43 2017 read 9782372 relations Tue Feb 21 04:44:41 2017 multiplying 9782372 relations Tue Feb 21 04:57:20 2017 multiply complete, coefficients have about 324.40 million bits Tue Feb 21 04:57:21 2017 initial square root is modulo 661939 Tue Feb 21 05:10:38 2017 sqrtTime: 1889 Tue Feb 21 05:10:39 2017 p91 factor: 2899708525743448138750513834273051718459701701632174373080214267013049817300144137674371511 Tue Feb 21 05:10:39 2017 p127 factor: 2578803252599525084828617275190913720452916922012049839314915483801266096903330520458763162421202434048621007185106449704125207 Tue Feb 21 05:10:39 2017 elapsed time 18:36:23

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	2400	300	Serge Batalov	January 9, 2015 00:02:48 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 48 秒 (日本時間)
40	3e6	2400	2100	Serge Batalov	January 10, 2015 20:09:08 UTC 2015 年 1 月 11 日 (日) 5 時 9 分 8 秒 (日本時間)
45	11e6	0		-	-
50	43e6	3000 / 7462	1000	Serge Batalov	January 11, 2015 21:22:44 UTC 2015 年 1 月 12 日 (月) 6 時 22 分 44 秒 (日本時間)
50	43e6	3000 / 7462	2000	Serge Batalov	February 5, 2015 02:30:34 UTC 2015 年 2 月 5 日 (木) 11 時 30 分 34 秒 (日本時間)

673×10²¹⁶-79

c209

name 名前	Bob Backstrom
date 日付	February 25, 2020 21:51:44 UTC 2020 年 2 月 26 日 (水) 6 時 51 分 44 秒 (日本時間)
composite number 合成数	75122819366179680132556052099420133732877296385024978208513762369294103783159253071390023511637504720998981894586013860778792175942021287638604379767996719052276612986352322544852931271253376487345580109625431<209>
prime factors 素因数	1107777374520508375344286261796610470302713465704081070646375801862082695699067127543939870033<94> 67814004053563494299211851179543990626839815320580318513876108318787302449312661359042783950927004745324972575834407<116>
factorization results 素因数分解の結果	Number: n N=75122819366179680132556052099420133732877296385024978208513762369294103783159253071390023511637504720998981894586013860778792175942021287638604379767996719052276612986352322544852931271253376487345580109625431 ( 209 digits) SNFS difficulty: 218 digits. Divisors found: Wed Feb 26 08:46:14 2020 p94 factor: 1107777374520508375344286261796610470302713465704081070646375801862082695699067127543939870033 Wed Feb 26 08:46:14 2020 p116 factor: 67814004053563494299211851179543990626839815320580318513876108318787302449312661359042783950927004745324972575834407 Wed Feb 26 08:46:14 2020 elapsed time 05:36:28 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.134). Factorization parameters were as follows: # # N = 673x10^216-7 = 747(216) # n: 75122819366179680132556052099420133732877296385024978208513762369294103783159253071390023511637504720998981894586013860778792175942021287638604379767996719052276612986352322544852931271253376487345580109625431 m: 1000000000000000000000000000000000000 deg: 6 c6: 673 c0: -7 skew: 0.47 # Murphy_E = 3.349e-12 type: snfs lss: 1 rlim: 31000000 alim: 31000000 lpbr: 29 lpba: 29 mfbr: 58 mfba: 58 rlambda: 2.6 alambda: 2.6 Factor base limits: 31000000/31000000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 58/58 Sieved special-q in [100000, 62700000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 8966054 hash collisions in 60038842 relations (53714537 unique) Msieve: matrix is 3556339 x 3556565 (1255.8 MB) Sieving start time: 2020/02/24 20:29:45 Sieving end time : 2020/02/26 03:08:18 Total sieving time: 30hrs 38min 33secs. Total relation processing time: 5hrs 9min 16sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 7min 33sec. Prototype def-par.txt line would be: snfs,218,6,0,0,0,0,0,0,0,0,31000000,31000000,29,29,58,58,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.149030] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1) [ 0.000000] Memory: 16283244K/16703460K available (12300K kernel code, 2481K rwdata, 4264K rodata, 2428K init, 2712K bss, 420216K reserved, 0K cma-reserved) [ 0.184566] x86/mm: Memory block size: 128MB [ 0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.63 BogoMIPS (lpj=11977268) [ 0.182220] smpboot: Total of 16 processors activated (95818.14 BogoMIPS)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	301	300	Serge Batalov	January 9, 2015 00:02:48 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 48 秒 (日本時間)
40	3e6	301	1	Cyp	January 9, 2015 00:52:48 UTC 2015 年 1 月 9 日 (金) 9 時 52 分 48 秒 (日本時間)
45	11e6	585 / 4409		Cyp	January 27, 2015 12:25:53 UTC 2015 年 1 月 27 日 (火) 21 時 25 分 53 秒 (日本時間)

673×10²¹⁷-79

c218

name 名前	Bob Backstrom
date 日付	June 2, 2019 10:31:46 UTC 2019 年 6 月 2 日 (日) 19 時 31 分 46 秒 (日本時間)
composite number 合成数	83086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753<218>
prime factors 素因数	20001022968350066050592072513334857865598068346205075661645394706957<68> 4154108511577816782831438059332631377263357120245320097531438643094485310744787215957752944535545939342882886036939762247283606976529451458612134374029<151>
factorization results 素因数分解の結果	Number: n N=83086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753 ( 218 digits) SNFS difficulty: 219 digits. Divisors found: Sun Jun 2 20:27:48 2019 p68 factor: 20001022968350066050592072513334857865598068346205075661645394706957 Sun Jun 2 20:27:48 2019 p151 factor: 4154108511577816782831438059332631377263357120245320097531438643094485310744787215957752944535545939342882886036939762247283606976529451458612134374029 Sun Jun 2 20:27:48 2019 elapsed time 08:03:34 (Msieve 1.54 - dependency 4) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.121). Factorization parameters were as follows: # # N = 673x10^217-7 = 747(217) # n: 83086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753 m: 1000000000000000000000000000000000000 deg: 6 c6: 6730 c0: -7 skew: 0.32 # Murphy_E = 1.944e-12 type: snfs lss: 1 rlim: 32000000 alim: 32000000 lpbr: 29 lpba: 29 mfbr: 58 mfba: 58 rlambda: 2.6 alambda: 2.6 Factor base limits: 32000000/32000000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 58/58 Sieved special-q in [100000, 77600000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 13771247 hash collisions in 69605358 relations (57710589 unique) Msieve: matrix is 4160970 x 4161195 (1456.2 MB) Sieving start time: 2019/06/01 01:24:25 Sieving end time : 2019/06/02 12:22:37 Total sieving time: 34hrs 58min 12secs. Total relation processing time: 7hrs 2min 28sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 38min 43sec. Prototype def-par.txt line would be: snfs,219,6,0,0,0,0,0,0,0,0,32000000,32000000,29,29,58,58,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.044000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1) [ 0.000000] Memory: 16284144K/16703460K available (12300K kernel code, 2474K rwdata, 4276K rodata, 2412K init, 2416K bss, 419316K reserved, 0K cma-reserved) [ 0.076568] x86/mm: Memory block size: 128MB [ 0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.26 BogoMIPS (lpj=11976532) [ 0.074217] smpboot: Total of 16 processors activated (95812.25 BogoMIPS)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	2400	300	Serge Batalov	January 9, 2015 00:02:49 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 49 秒 (日本時間)
40	3e6	2400	2100	Serge Batalov	January 10, 2015 20:09:08 UTC 2015 年 1 月 11 日 (日) 5 時 9 分 8 秒 (日本時間)

673×10²¹⁸-79

c208

name 名前	Bob Backstrom
date 日付	December 10, 2019 20:37:56 UTC 2019 年 12 月 11 日 (水) 5 時 37 分 56 秒 (日本時間)
composite number 合成数	1191777986231853165301794044558128209918981243767625174431215899838927898483314624366423629645131425768726101837097146226818290764248249153209402944691191840068249430217154322163611487901554467848783922859183<208>
prime factors 素因数	3248497081290121370129953691918666835765823277<46> 366870573193972394998250981077664784698955966433237493784966464119315329222786092863788708559980996771786445303346508452386837630931162784130531221943856504523979<162>
factorization results 素因数分解の結果	# # N = 673x10^218-7 = 747(218) # n: 1191777986231853165301794044558128209918981243767625174431215899838927898483314624366423629645131425768726101837097146226818290764248249153209402944691191840068249430217154322163611487901554467848783922859183 m: 1000000000000000000000000000000000000 deg: 6 c6: 67300 c0: -7 skew: 0.22 # Murphy_E = 1.605e-12 type: snfs lss: 1 rlim: 34000000 alim: 34000000 lpbr: 29 lpba: 29 mfbr: 58 mfba: 58 rlambda: 2.6 alambda: 2.6 GMP-ECM 6.2.3 [powered by GMP 6.1.2] [ECM] Input number is 1191777986231853165301794044558128209918981243767625174431215899838927898483314624366423629645131425768726101837097146226818290764248249153209402944691191840068249430217154322163611487901554467848783922859183 (208 digits) Using B1=400540000, B2=4767896883766, polynomial Dickson(30), sigma=515673538 Step 1 took 2070393ms Step 2 took 309774ms ********** Factor found in step 2: 3248497081290121370129953691918666835765823277 Found probable prime factor of 46 digits: 3248497081290121370129953691918666835765823277 Probable prime cofactor 366870573193972394998250981077664784698955966433237493784966464119315329222786092863788708559980996771786445303346508452386837630931162784130531221943856504523979 has 162 digits

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	118	Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	300	Serge Batalov	January 9, 2015 00:02:49 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 49 秒 (日本時間)
45	11e6	585 / 4409	Cyp	July 21, 2015 15:22:23 UTC 2015 年 7 月 22 日 (水) 0 時 22 分 23 秒 (日本時間)

673×10²¹⁹-79

c220

name 名前	Serge Batalov
date 日付	January 10, 2015 21:11:56 UTC 2015 年 1 月 11 日 (日) 6 時 11 分 56 秒 (日本時間)
composite number 合成数	2021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021<220>
prime factors 素因数	23795579650592914516599934627830748267<38> 84932624071238509849717347323373452690920654896017306553756788840386579921021795052218313377073956425589657707011727548473272908583600955938475707745282207006199186769143052856760663<182>
factorization results 素因数分解の結果	Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=114782505 Step 1 took 21364ms Step 2 took 14069ms ********** Factor found in step 2: 23795579650592914516599934627830748267 Found probable prime factor of 38 digits: 23795579650592914516599934627830748267 Probable prime cofactor

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	2401	300	Serge Batalov	January 9, 2015 00:02:50 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 50 秒 (日本時間)
			1	Cyp	January 9, 2015 00:28:59 UTC 2015 年 1 月 9 日 (金) 9 時 28 分 59 秒 (日本時間)
			2100	Serge Batalov	January 10, 2015 20:09:11 UTC 2015 年 1 月 11 日 (日) 5 時 9 分 11 秒 (日本時間)

673×10²²⁰-79

c222

name 名前	Serge Batalov
date 日付	January 10, 2015 09:15:32 UTC 2015 年 1 月 10 日 (土) 18 時 15 分 32 秒 (日本時間)
composite number 合成数	249259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259<222>
prime factors 素因数	52199121336591164915651669157661884133<38>
composite cofactor 合成数の残り	4775161973550894236721754822272219132214799313059150117768271273345770536569003021176342607370937456842857477433001943982459587910188022096205456898355814632193695372331996014471987423<184>
factorization results 素因数分解の結果	Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3906828515 Step 1 took 18132ms Step 2 took 12165ms ********** Factor found in step 2: 52199121336591164915651669157661884133 Found probable prime factor of 38 digits: 52199121336591164915651669157661884133 Composite cofactor

c184

name 名前	Erik Branger
date 日付	March 29, 2018 08:31:45 UTC 2018 年 3 月 29 日 (木) 17 時 31 分 45 秒 (日本時間)
composite number 合成数	4775161973550894236721754822272219132214799313059150117768271273345770536569003021176342607370937456842857477433001943982459587910188022096205456898355814632193695372331996014471987423<184>
prime factors 素因数	555252157080072604293363631567560520851827<42> 8599988154322957071039416126435138381870737359498770923517278401587490900726620410695978306831901689210540097165257142185275788742971510347749<142>
factorization results 素因数分解の結果	Number: 74777_220 N = 4775161973550894236721754822272219132214799313059150117768271273345770536569003021176342607370937456842857477433001943982459587910188022096205456898355814632193695372331996014471987423 (184 digits) SNFS difficulty: 223 digits. Divisors found: r1=555252157080072604293363631567560520851827 (pp42) r2=8599988154322957071039416126435138381870737359498770923517278401587490900726620410695978306831901689210540097165257142185275788742971510347749 (pp142) Version: Msieve v. 1.52 (SVN unknown) Total time: 100.68 hours. Factorization parameters were as follows: n: 4775161973550894236721754822272219132214799313059150117768271273345770536569003021176342607370937456842857477433001943982459587910188022096205456898355814632193695372331996014471987423 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 673 c0: -7 skew: 1.00 type: snfs lss: 1 rlim: 536870912 alim: 536870912 lpbr: 29 lpba: 27 mfbr: 58 mfba: 54 rlambda: 2.8 alambda: 2.8 side: 1 Number of cores used: 4 Number of threads per core: 1 Factor base limits: 536870912/536870912 Large primes per side: 3 Large prime bits: 29/27 Total raw relations: 30779550 Relations: 9430846 relations Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G rational relations. Total batch smoothness checking time: 52.95 hours. Total relation processing time: 0.31 hours. Pruned matrix : 8094042 x 8094267 Matrix solve time: 47.23 hours. time per square root: 0.20 hours. Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,536870912,29,27,58,54,2.8,2.8,100000 total time: 100.68 hours. Intel64 Family 6 Model 60 Stepping 3, GenuineIntel Windows-10-10.0.16299-SP0 processors: 8, speed: 3.50GHz
software ソフトウェア	GGNFS; NFS_factory, Msieve

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	2401	300	Serge Batalov	January 9, 2015 00:02:51 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 51 秒 (日本時間)
			1	Cyp	January 9, 2015 00:43:13 UTC 2015 年 1 月 9 日 (金) 9 時 43 分 13 秒 (日本時間)
			2100	Serge Batalov	January 10, 2015 08:39:49 UTC 2015 年 1 月 10 日 (土) 17 時 39 分 49 秒 (日本時間)

673×10²²¹-79

c216

name 名前	Bob Backstrom
date 日付	July 1, 2019 09:13:10 UTC 2019 年 7 月 1 日 (月) 18 時 13 分 10 秒 (日本時間)
composite number 合成数	115489931602349302709631811045100463979341572886139432271162136107334907816322705474482395791645736690633538827674677616334007700151331794283272753544463651981672259236573696121975599050436634225888088873143818748653<216>
prime factors 素因数	16463814461341951538556078356426174406147160447573864562477701<62> 98401657582667813116086952086584476570285573466846953949670370153<65> 71287149084265098666955682776161989704638974069104174187195657898378329003961409743896801<89>
factorization results 素因数分解の結果	Number: n N=115489931602349302709631811045100463979341572886139432271162136107334907816322705474482395791645736690633538827674677616334007700151331794283272753544463651981672259236573696121975599050436634225888088873143818748653 ( 216 digits) SNFS difficulty: 224 digits. Divisors found: Mon Jul 1 17:56:31 2019 found factor: 98401657582667813116086952086584476570285573466846953949670370153 Mon Jul 1 18:07:51 2019 found factor: 98401657582667813116086952086584476570285573466846953949670370153 Mon Jul 1 18:19:10 2019 found factor: 98401657582667813116086952086584476570285573466846953949670370153 Mon Jul 1 18:53:12 2019 found factor: 98401657582667813116086952086584476570285573466846953949670370153 Mon Jul 1 19:04:33 2019 p62 factor: 16463814461341951538556078356426174406147160447573864562477701 Mon Jul 1 19:04:33 2019 p65 factor: 98401657582667813116086952086584476570285573466846953949670370153 Mon Jul 1 19:04:33 2019 p89 factor: 71287149084265098666955682776161989704638974069104174187195657898378329003961409743896801 Mon Jul 1 19:04:33 2019 elapsed time 15:10:52 (Msieve 1.54 - dependency 8) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.106). Factorization parameters were as follows: # # N = 673x10^221-7 = 747(221) # n: 115489931602349302709631811045100463979341572886139432271162136107334907816322705474482395791645736690633538827674677616334007700151331794283272753544463651981672259236573696121975599050436634225888088873143818748653 m: 10000000000000000000000000000000000000 deg: 6 c6: 673 c0: -70 skew: 0.69 # Murphy_E = 1.179e-12 type: snfs lss: 1 rlim: 39000000 alim: 39000000 lpbr: 29 lpba: 29 mfbr: 59 mfba: 59 rlambda: 2.6 alambda: 2.6 Factor base limits: 39000000/39000000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 59/59 Sieved special-q in [100000, 138700000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 16198256 hash collisions in 72672185 relations (57510996 unique) Msieve: matrix is 5488755 x 5488981 (1922.7 MB) Sieving start time: 2019/06/28 03:07:32 Sieving end time : 2019/07/01 03:46:51 Total sieving time: 72hrs 39min 19secs. Total relation processing time: 13hrs 16min 13sec. Matrix solve time: 0.00 hours. Total square root time: 1hrs 30min 44sec. Prototype def-par.txt line would be: snfs,224,6,0,0,0,0,0,0,0,0,39000000,39000000,29,29,59,59,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.048000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1) [ 0.000000] Memory: 16284124K/16703460K available (12300K kernel code, 2473K rwdata, 4272K rodata, 2408K init, 2416K bss, 419336K reserved, 0K cma-reserved) [ 0.080566] x86/mm: Memory block size: 128MB [ 0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.41 BogoMIPS (lpj=11976828) [ 0.078213] smpboot: Total of 16 processors activated (95814.62 BogoMIPS)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	581	281	Cyp	January 8, 2015 20:02:57 UTC 2015 年 1 月 9 日 (金) 5 時 2 分 57 秒 (日本時間)
40	3e6	581	300	Serge Batalov	January 9, 2015 00:02:51 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 51 秒 (日本時間)
45	11e6	504 / 4347		Cyp	July 2, 2015 08:39:47 UTC 2015 年 7 月 2 日 (木) 17 時 39 分 47 秒 (日本時間)

673×10²²⁴-79

c205

name 名前	Serge Batalov
date 日付	January 9, 2015 03:48:51 UTC 2015 年 1 月 9 日 (金) 12 時 48 分 51 秒 (日本時間)
composite number 合成数	1777132100357196428866803503620719057603932527391774120048836540020834273860891128466852513914810520644456799486928371446269538620445069833354087852109442297966380832704005744048192936919247055464936692069<205>
prime factors 素因数	8582642156698497677140723729293659<34>
composite cofactor 合成数の残り	207061190238509189973411182680886417240652871273311983968332548558148510676398424957593643348475649193674751129955429445046850113696249098911528380142332173433765837564991<171>
factorization results 素因数分解の結果	Input number is 1777132100357196428866803503620719057603932527391774120048836540020834273860891128466852513914810520644456799486928371446269538620445069833354087852109442297966380832704005744048192936919247055464936692069 (205 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4234683406 Step 1 took 16126ms Step 2 took 11054ms ********** Factor found in step 2: 8582642156698497677140723729293659 Found probable prime factor of 34 digits: 8582642156698497677140723729293659 Composite cofactor 207061190238509189973411182680886417240652871273311983968332548558148510676398424957593643348475649193674751129955429445046850113696249098911528380142332173433765837564991 has 171 digits

c171

name 名前	Cyp
date 日付	June 12, 2015 06:48:27 UTC 2015 年 6 月 12 日 (金) 15 時 48 分 27 秒 (日本時間)
composite number 合成数	207061190238509189973411182680886417240652871273311983968332548558148510676398424957593643348475649193674751129955429445046850113696249098911528380142332173433765837564991<171>
prime factors 素因数	2640759364184679698971429108802423692369<40> 78409715420033442824972212552622244951155374737807007977164752897468651645728779295243685450894444209001253691416521514017997335439<131>
factorization results 素因数分解の結果	Run 63 out of 585: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2786387952 Step 1 took 50340ms Step 2 took 17291ms ********** Factor found in step 2: 2640759364184679698971429108802423692369 Found probable prime factor of 40 digits: 2640759364184679698971429108802423692369 Probable prime cofactor 78409715420033442824972212552622244951155374737807007977164752897468651645728779295243685450894444209001253691416521514017997335439 has 131 digits
software ソフトウェア	GMP-ECM 6.4.4
execution environment 実行環境	Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	118	Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	300 / 2101	Serge Batalov	January 9, 2015 00:02:52 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 52 秒 (日本時間)
45	11e6	63 / 4409	Cyp	June 12, 2015 06:48:27 UTC 2015 年 6 月 12 日 (金) 15 時 48 分 27 秒 (日本時間)

673×10²²⁶-79

c227

name 名前	Bob Backstrom
date 日付	November 15, 2018 12:37:31 UTC 2018 年 11 月 15 日 (木) 21 時 37 分 31 秒 (日本時間)
composite number 合成数	27695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251<227>
prime factors 素因数	124881767205771482792742436841895147681568323971948769778430625100819734390198087003526730120139402578213<105> 221773553263336942414900759456495594744882404919240471493419175606722672024700045142654747270177210138402652466950406135527<123>
factorization results 素因数分解の結果	Number: n N=27695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251 ( 227 digits) SNFS difficulty: 230 digits. Divisors found: Thu Nov 15 23:30:13 2018 p105 factor: 124881767205771482792742436841895147681568323971948769778430625100819734390198087003526730120139402578213 Thu Nov 15 23:30:13 2018 p123 factor: 221773553263336942414900759456495594744882404919240471493419175606722672024700045142654747270177210138402652466950406135527 Thu Nov 15 23:30:13 2018 elapsed time 27:25:19 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.125). Factorization parameters were as follows: # # N = 673x10^226-7 = 747(226) # n: 27695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251 m: 50000000000000000000000000000000000000 deg: 6 c6: 10768 c0: -175 skew: 0.50 # Murphy_E = 7.137e-13 type: snfs lss: 1 rlim: 48000000 alim: 48000000 lpbr: 30 lpba: 30 mfbr: 59 mfba: 59 rlambda: 2.7 alambda: 2.7 Factor base limits: 48000000/48000000 Large primes per side: 3 Large prime bits: 30/30 Max factor residue bits: 59/59 Sieved special-q in [100000, 114400000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 21568414 hash collisions in 113244340 relations (92337825 unique) Msieve: matrix is 7234403 x 7234628 (2547.9 MB) Sieving start time: 2018/11/12 02:18:22 Sieving end time : 2018/11/14 19:23:50 Total sieving time: 65hrs 5min 28secs. Total relation processing time: 26hrs 22min 56sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 21min 32sec. Prototype def-par.txt line would be: snfs,230,6,0,0,0,0,0,0,0,0,48000000,48000000,30,30,59,59,2.7,2.7,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.044000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1) [ 0.000000] Memory: 16285108K/16703460K available (12300K kernel code, 2472K rwdata, 4248K rodata, 2408K init, 2416K bss, 418352K reserved, 0K cma-reserved) [ 0.076577] x86/mm: Memory block size: 128MB [ 0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.57 BogoMIPS (lpj=11977156) [ 0.074209] smpboot: Total of 16 processors activated (95817.24 BogoMIPS)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	2400	300	Serge Batalov	January 9, 2015 00:02:52 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 52 秒 (日本時間)
40	3e6	2400	2100	Serge Batalov	January 10, 2015 08:39:55 UTC 2015 年 1 月 10 日 (土) 17 時 39 分 55 秒 (日本時間)

673×10²²⁷-79

c133

name 名前	Erik Branger
date 日付	March 12, 2015 15:13:04 UTC 2015 年 3 月 13 日 (金) 0 時 13 分 4 秒 (日本時間)
composite number 合成数	2910250550703336252661994696419122055447238691202488380879504332357811255189503688732169269119237687274881587080927175549904729050371<133>
prime factors 素因数	1116088374820347184703863246337111540404247497<46> 2607544900888147889827843020891816272598018901217589636625485005318344070297619997864043<88>
factorization results 素因数分解の結果	Number: 74777_227 N = 2910250550703336252661994696419122055447238691202488380879504332357811255189503688732169269119237687274881587080927175549904729050371 (133 digits) Divisors found: r1=1116088374820347184703863246337111540404247497 (pp46) r2=2607544900888147889827843020891816272598018901217589636625485005318344070297619997864043 (pp88) Version: Msieve v. 1.52 (SVN 958) Total time: 65.04 hours. Factorization parameters were as follows: # Murphy_E = 5.912e-11, selected by Erik Branger # expecting poly E from 5.89e-011 to > 6.77e-011 n: 2910250550703336252661994696419122055447238691202488380879504332357811255189503688732169269119237687274881587080927175549904729050371 Y0: -59507706900482377101685048 Y1: 105613070611883 c0: -655252473035839600083699494005455 c1: 25476822057603496309742652777 c2: 2750931979586554309791 c3: -51988305162922541 c4: -1534452280 c5: 3900 skew: 1467054.33 type: gnfs # selected mechanically rlim: 11400000 alim: 11400000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.6 alambda: 2.6 Factor base limits: 11400000/11400000 Large primes per side: 3 Large prime bits: 28/28 Sieved algebraic special-q in [0, 0) Total raw relations: 19792256 Relations: 2836802 relations Pruned matrix : 1661333 x 1661560 Polynomial selection time: 0.00 hours. Total sieving time: 63.42 hours. Total relation processing time: 0.09 hours. Matrix solve time: 1.11 hours. time per square root: 0.42 hours. Prototype def-par.txt line would be: gnfs,132,5,65,2000,1e-05,0.28,250,20,50000,3600,11400000,11400000,28,28,54,54,2.6,2.6,100000 total time: 65.04 hours. Intel64 Family 6 Model 60 Stepping 3, GenuineIntel Windows-7-6.1.7601-SP1 processors: 8, speed: 3.50GHz
software ソフトウェア	GGNFS, Msieve

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	2650	300	Serge Batalov	January 9, 2015 00:02:53 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 53 秒 (日本時間)
40	3e6	2650	2350	Ignacio Santos	February 5, 2015 21:21:36 UTC 2015 年 2 月 6 日 (金) 6 時 21 分 36 秒 (日本時間)

673×10²²⁸-79

c229

composite cofactor 合成数の残り

2021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021<229>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	2401	300	Serge Batalov	January 9, 2015 00:02:53 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 53 秒 (日本時間)
			1	Cyp	January 9, 2015 00:53:03 UTC 2015 年 1 月 9 日 (金) 9 時 53 分 3 秒 (日本時間)
			2100	Serge Batalov	January 10, 2015 08:39:56 UTC 2015 年 1 月 10 日 (土) 17 時 39 分 56 秒 (日本時間)
45	11e6	436		KTakahashi	March 11, 2015 02:50:53 UTC 2015 年 3 月 11 日 (水) 11 時 50 分 53 秒 (日本時間)
50	43e6	1000 / 7364		Serge Batalov	January 11, 2015 21:22:49 UTC 2015 年 1 月 12 日 (月) 6 時 22 分 49 秒 (日本時間)

673×10²³³-79

c186

composite cofactor 合成数の残り	741610937656189882695713681965645177211820610033034924051120812366840130902605554545286869353785302789755254943300617406155260403026125991739386449212900186244668307060808887001957340941<186>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	301	300	Serge Batalov	January 9, 2015 00:02:54 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 54 秒 (日本時間)
40	3e6	301	1	Cyp	January 9, 2015 01:07:03 UTC 2015 年 1 月 9 日 (金) 10 時 7 分 3 秒 (日本時間)
45	11e6	585 / 4409		Cyp	July 21, 2015 12:40:05 UTC 2015 年 7 月 21 日 (火) 21 時 40 分 5 秒 (日本時間)

673×10²³⁴-79

c218

name 名前	Serge Batalov
date 日付	January 9, 2015 03:48:54 UTC 2015 年 1 月 9 日 (金) 12 時 48 分 54 秒 (日本時間)
composite number 合成数	20442183723703667832032410419394775856186836206803586411348787802975119043460250490574447010687503691666823095429580992953928791422830016334458578734253619728054780490364485602492569158359177620039978632116813163746369<218>
prime factors 素因数	10713735157855943400386876893510423<35>
composite cofactor 合成数の残り	1908035192443062338931668497901503341249390986395520135231208272320317620322535071093447773529879760473079548029873822541693826520440598839093211531136607827312924693232947542094553703<184>
factorization results 素因数分解の結果	Input number is 20442183723703667832032410419394775856186836206803586411348787802975119043460250490574447010687503691666823095429580992953928791422830016334458578734253619728054780490364485602492569158359177620039978632116813163746369 (218 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=257686143 Step 1 took 19910ms Step 2 took 13964ms ********** Factor found in step 2: 10713735157855943400386876893510423 Found probable prime factor of 35 digits: 10713735157855943400386876893510423 Composite cofactor 1908035192443062338931668497901503341249390986395520135231208272320317620322535071093447773529879760473079548029873822541693826520440598839093211531136607827312924693232947542094553703 has 184 digits

c184

name 名前	Cyp
date 日付	June 29, 2015 06:11:57 UTC 2015 年 6 月 29 日 (月) 15 時 11 分 57 秒 (日本時間)
composite number 合成数	1908035192443062338931668497901503341249390986395520135231208272320317620322535071093447773529879760473079548029873822541693826520440598839093211531136607827312924693232947542094553703<184>
prime factors 素因数	64056164708818778504262564891647898841<38>
composite cofactor 合成数の残り	29786909677100573899374331086665010238651375591554170655979878780968334266892182644660407799825060371028442000304984291532395640873621976690673983<146>
factorization results 素因数分解の結果	Run 265 out of 585: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3130090853 Step 1 took 55761ms Step 2 took 14431ms ********** Factor found in step 2: 64056164708818778504262564891647898841 Found probable prime factor of 38 digits: 64056164708818778504262564891647898841 Composite cofactor 29786909677100573899374331086665010238651375591554170655979878780968334266892182644660407799825060371028442000304984291532395640873621976690673983 has 146 digits
software ソフトウェア	GMP-ECM 6.4.4
execution environment 実行環境	Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

c146

name 名前	Robert Balfour
date 日付	April 7, 2020 17:19:06 UTC 2020 年 4 月 8 日 (水) 2 時 19 分 6 秒 (日本時間)
composite number 合成数	29786909677100573899374331086665010238651375591554170655979878780968334266892182644660407799825060371028442000304984291532395640873621976690673983<146>
prime factors 素因数	213653909256557535257487527915904963661<39> 139416637779991120764628235325605957740047471479960688877793240023979132907177655182250715446911329796803003<108>
factorization results 素因数分解の結果	PID5373 2020-04-07 10:19:06,569 Debug:root: Root parameter dictionary: N = 29786909677100573899374331086665010238651375591554170655979878780968334266892182644660407799825060371028442000304984291532395640873621976690673983 name = 74777_234 tasks.I = 14 tasks.lim0 = 13000000 tasks.lim1 = 20000000 tasks.lpb0 = 30 tasks.lpb1 = 31 tasks.qmin = 100000 tasks.threads = 6 tasks.wutimeout = 1800 tasks.filter.required_excess = 0.05 tasks.filter.target_density = 135.0 tasks.filter.purge.keep = 175 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.bwc.interleaving = 0 tasks.linalg.bwc.threads = 6 tasks.linalg.characters.nchar = 50 tasks.polyselect.P = 300000 tasks.polyselect.admax = 20e4 tasks.polyselect.admin = 12600 tasks.polyselect.adrange = 840 tasks.polyselect.degree = 5 tasks.polyselect.incr = 60 tasks.polyselect.nq = 15625 tasks.polyselect.nrkeep = 100 tasks.polyselect.threads = 2 tasks.sieve.lambda0 = 1.81 tasks.sieve.lambda1 = 1.79 tasks.sieve.mfb0 = 56 tasks.sieve.mfb1 = 58 tasks.sieve.ncurves0 = 19 tasks.sieve.ncurves1 = 22 tasks.sieve.qrange = 5000 tasks.sieve.rels_wanted = 85000000 tasks.sieve.las.threads = 2 tasks.sqrt.threads = 2 PID5373 2020-04-07 10:59:55,153 Info:Polynomial Selection (root optimized): Best polynomial is: n: 29786909677100573899374331086665010238651375591554170655979878780968334266892182644660407799825060371028442000304984291532395640873621976690673983 skew: 314051.704 c0: 2030922760453796687584314685271000 c1: -10105146571388349925756037290 c2: -125789636727040618467707 c3: 119340268452471707 c4: 412876831484 c5: 614640 Y0: -11112318563263843537549856373 Y1: 2277489584095514291983 # MurphyE (Bf=2.147e+09,Bg=1.074e+09,area=1.342e+13) = 2.444e-06 PID5373 2020-04-07 16:21:48,215 Info:Square Root: Factors: 139416637779991120764628235325605957740047471479960688877793240023979132907177655182250715446911329796803003 213653909256557535257487527915904963661 PID5373 2020-04-07 16:21:48,215 Debug:Square Root: Exit SqrtTask.run(sqrt) PID5373 2020-04-07 16:21:48,215 Info:Polynomial Selection (size optimized): Aggregate statistics: PID5373 2020-04-07 16:21:48,216 Info:Polynomial Selection (size optimized): potential collisions: 144726 PID5373 2020-04-07 16:21:48,216 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 146595/44.010/52.977/60.750/1.203 PID5373 2020-04-07 16:21:48,216 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 121443/42.490/46.904/53.280/1.010 PID5373 2020-04-07 16:21:48,216 Info:Polynomial Selection (size optimized): Total time: 60937.1 PID5373 2020-04-07 16:21:48,216 Info:Polynomial Selection (root optimized): Aggregate statistics: PID5373 2020-04-07 16:21:48,216 Info:Polynomial Selection (root optimized): Total time: 2514.27 PID5373 2020-04-07 16:21:48,216 Info:Polynomial Selection (root optimized): Rootsieve time: 2512.59 PID5373 2020-04-07 16:21:48,217 Info:Generate Factor Base: Total cpu/real time for makefb: 14.37/2.86021 PID5373 2020-04-07 16:21:48,217 Info:Generate Free Relations: Total cpu/real time for freerel: 1336.86/225.847 PID5373 2020-04-07 16:21:48,217 Info:Lattice Sieving: Aggregate statistics: PID5373 2020-04-07 16:21:48,217 Info:Lattice Sieving: Total number of relations: 95064201 PID5373 2020-04-07 16:21:48,217 Info:Lattice Sieving: Average J: 7815.37 for 614413 special-q, max bucket fill -bkmult 1.0,1s:1.085320 PID5373 2020-04-07 16:21:48,217 Info:Lattice Sieving: Total time: 574293s PID5373 2020-04-07 16:21:48,218 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 277.56/280.006 PID5373 2020-04-07 16:21:48,218 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: PID5373 2020-04-07 16:21:48,218 Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 277.0s PID5373 2020-04-07 16:21:48,218 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1064.18/402.548 PID5373 2020-04-07 16:21:48,218 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: PID5373 2020-04-07 16:21:48,218 Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 310.4s PID5373 2020-04-07 16:21:48,218 Info:Filtering - Singleton removal: Total cpu/real time for purge: 401.04/221.009 PID5373 2020-04-07 16:21:48,218 Info:Filtering - Merging: Total cpu/real time for merge: 158.19/36.8467 PID5373 2020-04-07 16:21:48,219 Info:Filtering - Merging: Total cpu/real time for replay: 57.66/58.3124 PID5373 2020-04-07 16:21:48,219 Info:Linear Algebra: Total cpu/real time for bwc: 46387.7/8097.66 PID5373 2020-04-07 16:21:48,219 Info:Linear Algebra: Aggregate statistics: PID5373 2020-04-07 16:21:48,219 Info:Linear Algebra: Krylov: WCT time 5130.26, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (72704 iterations) PID5373 2020-04-07 16:21:48,219 Info:Linear Algebra: Lingen CPU time 287.77, WCT time 54.05 PID5373 2020-04-07 16:21:48,219 Info:Linear Algebra: Mksol: WCT time 2788.49, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (35840 iterations) PID5373 2020-04-07 16:21:48,219 Info:Quadratic Characters: Total cpu/real time for characters: 75.46/23.5227 PID5373 2020-04-07 16:21:48,220 Info:Square Root: Total cpu/real time for sqrt: 662.92/146.702 PID5373 2020-04-07 16:21:48,220 Info:HTTP server: Shutting down HTTP server PID5373 2020-04-07 16:21:48,702 Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.28336e+06/21761.3
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	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	301	300	Serge Batalov	January 9, 2015 00:02:55 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 55 秒 (日本時間)
40	3e6	301	1	Cyp	January 9, 2015 00:35:59 UTC 2015 年 1 月 9 日 (金) 9 時 35 分 59 秒 (日本時間)
45	11e6	1385 / 4409	585	Cyp	June 29, 2015 06:11:57 UTC 2015 年 6 月 29 日 (月) 15 時 11 分 57 秒 (日本時間)
45	11e6	1385 / 4409	800	Dmitry Domanov	March 1, 2016 13:20:02 UTC 2016 年 3 月 1 日 (火) 22 時 20 分 2 秒 (日本時間)

673×10²³⁵-79

c225

name 名前	Cyp
date 日付	January 28, 2015 16:22:35 UTC 2015 年 1 月 29 日 (木) 1 時 22 分 35 秒 (日本時間)
composite number 合成数	205736079047757713416738326007661049016497209314235118828397844474709472761720192662121639627019407627207353288935454019634025867884351316379452467594212877702385876995785268048676030737057663037016106179161063741671625351747<225>
prime factors 素因数	2070650563215808971324980120807501241709<40> 99358183704468597002360825399816998871810055527107579788888225676642356316879985111531863834894415658272819451525317034760264256670555096975000024247897114385534243326925791109391491183<185>
factorization results 素因数分解の結果	Run 571 out of 585: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2143241433 Step 1 took 79855ms Step 2 took 23671ms ********** Factor found in step 2: 2070650563215808971324980120807501241709 Found probable prime factor of 40 digits: 2070650563215808971324980120807501241709 Probable prime cofactor 99358183704468597002360825399816998871810055527107579788888225676642356316879985111531863834894415658272819451525317034760264256670555096975000024247897114385534243326925791109391491183 has 185 digits
software ソフトウェア	GMP-ECM 6.4.4
execution environment 実行環境	Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	118	Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	300 / 348	Serge Batalov	January 9, 2015 00:02:55 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 55 秒 (日本時間)
45	11e6	571 / 4409	Cyp	January 28, 2015 16:22:34 UTC 2015 年 1 月 29 日 (木) 1 時 22 分 34 秒 (日本時間)

673×10²³⁶-79

c202

composite cofactor 合成数の残り

3906783248127632528649371878421367138193145454175568011727908789367141259661379199683831738079675517001358064676255879340548460604029629490349347136312967915320018169686127026378059618226401661710665297<202>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	118	Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	300	Serge Batalov	January 9, 2015 00:02:56 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 56 秒 (日本時間)
45	11e6	585 / 4409	Cyp	June 23, 2015 21:20:22 UTC 2015 年 6 月 24 日 (水) 6 時 20 分 22 秒 (日本時間)

673×10²³⁷-79

c194

name 名前	Serge Batalov
date 日付	January 9, 2015 03:48:58 UTC 2015 年 1 月 9 日 (金) 12 時 48 分 58 秒 (日本時間)
composite number 合成数	16090428234099911773858000614091690402908457818940697815522087142324395564295597308756212328473037970538250537025569917717637112866899861635179506442125309443460255218051944187702940897036900451<194>
prime factors 素因数	277396597694536878046077179351<30>
composite cofactor 合成数の残り	58005139096256482033611857530414866028779307457671781544688198039624554209231157993226059245892261565782331820774960700642566928595294127307087406182634955257686101<164>
factorization results 素因数分解の結果	Input number is 16090428234099911773858000614091690402908457818940697815522087142324395564295597308756212328473037970538250537025569917717637112866899861635179506442125309443460255218051944187702940897036900451 (194 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=821290766 Step 1 took 17327ms Step 2 took 11006ms ********** Factor found in step 2: 277396597694536878046077179351 Found probable prime factor of 30 digits: 277396597694536878046077179351 Composite cofactor 58005139096256482033611857530414866028779307457671781544688198039624554209231157993226059245892261565782331820774960700642566928595294127307087406182634955257686101 has 164 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	2400	300	Serge Batalov	January 9, 2015 00:02:57 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 57 秒 (日本時間)
40	3e6	2400	2100	Serge Batalov	January 10, 2015 23:39:25 UTC 2015 年 1 月 11 日 (日) 8 時 39 分 25 秒 (日本時間)
45	11e6	2200	600	Dmitry Domanov	June 9, 2015 14:56:20 UTC 2015 年 6 月 9 日 (火) 23 時 56 分 20 秒 (日本時間)
			800	Serge Batalov	June 17, 2015 19:21:33 UTC 2015 年 6 月 18 日 (木) 4 時 21 分 33 秒 (日本時間)
			800	Serge Batalov	June 18, 2015 02:03:20 UTC 2015 年 6 月 18 日 (木) 11 時 3 分 20 秒 (日本時間)
50	43e6	800 / 6968		Serge Batalov	June 18, 2015 02:03:20 UTC 2015 年 6 月 18 日 (木) 11 時 3 分 20 秒 (日本時間)

673×10²³⁸-79

c236

composite cofactor 合成数の残り

88735941352530886172751605289875136795749113299843096923908600661893648721701409490658333662961644449718497422306607069868016824228999380298775101195891512730245375314795037116147831704969476418390622733805361074851996888308743061324051<236>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	2400	300	Serge Batalov	January 9, 2015 00:02:57 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 57 秒 (日本時間)
40	3e6	2400	2100	Serge Batalov	January 9, 2015 21:35:11 UTC 2015 年 1 月 10 日 (土) 6 時 35 分 11 秒 (日本時間)

673×10²³⁹-79

c216

name 名前	Serge Batalov
date 日付	January 9, 2015 03:49:02 UTC 2015 年 1 月 9 日 (金) 12 時 49 分 2 秒 (日本時間)
composite number 合成数	195910306088745219220592595009677019683906125097399207374437807533586327326892788559406536527468621024893021843678028672039532415454429504897152115916956910713479041934801053908751206276174265117068685233686710060179<216>
prime factors 素因数	12477926297439016693649374923159696929<38>
composite cofactor 合成数の残り	15700550028810000724631450377423097634603453050000862238869434016223179146666225306383739699141978044641584450930095232619468960637935294081911858067702322362017312881385257139251<179>
factorization results 素因数分解の結果	Input number is 195910306088745219220592595009677019683906125097399207374437807533586327326892788559406536527468621024893021843678028672039532415454429504897152115916956910713479041934801053908751206276174265117068685233686710060179 (216 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1697313941 Step 1 took 21266ms ********** Factor found in step 1: 12477926297439016693649374923159696929 Found probable prime factor of 38 digits: 12477926297439016693649374923159696929 Composite cofactor 15700550028810000724631450377423097634603453050000862238869434016223179146666225306383739699141978044641584450930095232619468960637935294081911858067702322362017312881385257139251 has 179 digits

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	118	Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	300	Serge Batalov	January 9, 2015 00:02:58 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 58 秒 (日本時間)
45	11e6	585 / 4409	Cyp	May 24, 2015 08:52:02 UTC 2015 年 5 月 24 日 (日) 17 時 52 分 2 秒 (日本時間)

673×10²⁴⁰-79

c239

composite cofactor 合成数の残り

14539719575690798712381446194395834683604467777129647633244755546913820295115259144036122453388640439000151230367057705187201590079287921014539719575690798712381446194395834683604467777129647633244755546913820295115259144036122453388640439<239>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	2400	300	Serge Batalov	January 9, 2015 00:02:58 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 58 秒 (日本時間)
40	3e6	2400	2100	Serge Batalov	January 9, 2015 21:35:12 UTC 2015 年 1 月 10 日 (土) 6 時 35 分 12 秒 (日本時間)

673×10²⁴¹-79

c211

name 名前	Cyp
date 日付	February 6, 2015 07:11:26 UTC 2015 年 2 月 6 日 (金) 16 時 11 分 26 秒 (日本時間)
composite number 合成数	6313528378044873369209029267529223873514538409397303666083794621128965051469943085434149297582614550361752722628437858453119605270104055977702562259201840788177683533548359045262015627877581722403469302626540361<211>
prime factors 素因数	30478877193399190575985479809997217<35>
composite cofactor 合成数の残り	207144388488569191809864363408462582735471251196901333914556004028422893639543672526880895252690834806167275319528355236353568311634979225573443962400850599212420438076995006633<177>
factorization results 素因数分解の結果	Run 40 out of 585: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1320580411 Step 1 took 69405ms Step 2 took 22056ms ********** Factor found in step 2: 30478877193399190575985479809997217 Found probable prime factor of 35 digits: 30478877193399190575985479809997217 Composite cofactor 207144388488569191809864363408462582735471251196901333914556004028422893639543672526880895252690834806167275319528355236353568311634979225573443962400850599212420438076995006633 has 177 digits
software ソフトウェア	GMP-ECM 6.4.4
execution environment 実行環境	Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	118	Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	300	Serge Batalov	January 9, 2015 00:02:59 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 59 秒 (日本時間)
45	11e6	585 / 4409	Cyp	February 6, 2015 07:11:25 UTC 2015 年 2 月 6 日 (金) 16 時 11 分 25 秒 (日本時間)

673×10²⁴³-79

c228

composite cofactor 合成数の残り

591626624598056470591170837751293194706670645724957231593355607819486081514691649743969197986542474037363527204369737137781813309835057839943232937847870729429329126403986328771165031253556033270622597252034053031389984418967947<228>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	301	300	Serge Batalov	January 9, 2015 00:02:59 UTC 2015 年 1 月 9 日 (金) 9 時 2 分 59 秒 (日本時間)
40	3e6	301	1	Cyp	January 9, 2015 01:03:32 UTC 2015 年 1 月 9 日 (金) 10 時 3 分 32 秒 (日本時間)
45	11e6	585 / 4409		Cyp	July 21, 2015 11:04:15 UTC 2015 年 7 月 21 日 (火) 20 時 4 分 15 秒 (日本時間)

673×10²⁴⁴-79

c199

composite cofactor 合成数の残り

4574781233465475984432468401482774152558019909366795099882473393139032948826539928235263391590138032245602642929112063814154348533768812763369386701678911821984506921558907717621866726335343229841777<199>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	118	Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	300	Serge Batalov	January 9, 2015 00:03:00 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 0 秒 (日本時間)
45	11e6	585 / 4409	Cyp	February 5, 2015 21:32:37 UTC 2015 年 2 月 6 日 (金) 6 時 32 分 37 秒 (日本時間)

673×10²⁴⁵-79

c242

composite cofactor 合成数の残り

99173456290735902412140127820291213349660850357127594830012569830344130419726234105353745676818315112236943512390787625864083735995249105154809323189052900860436569512045964612906695902942637070831657110353679364700438691499818010076494711977<242>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	2401	300	Serge Batalov	January 9, 2015 00:03:01 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 1 秒 (日本時間)
			1	Cyp	January 9, 2015 00:34:02 UTC 2015 年 1 月 9 日 (金) 9 時 34 分 2 秒 (日本時間)
			2100	Serge Batalov	January 9, 2015 18:41:18 UTC 2015 年 1 月 10 日 (土) 3 時 41 分 18 秒 (日本時間)
45	11e6	3950	2100	Serge Batalov	January 9, 2015 20:57:04 UTC 2015 年 1 月 10 日 (土) 5 時 57 分 4 秒 (日本時間)
45	11e6	3950	1850	Serge Batalov	March 18, 2015 22:33:53 UTC 2015 年 3 月 19 日 (木) 7 時 33 分 53 秒 (日本時間)

673×10²⁴⁶-79

c212

composite cofactor 合成数の残り

29043272290998737592679829024903753009215972456893806008870099005950080827833056476652156452094659789646592308052565266994576092511094447024213690977822222853386552774330258872416761913791397584475297619556331181<212>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	301	300	Serge Batalov	January 9, 2015 00:03:01 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 1 秒 (日本時間)
40	3e6	301	1	Cyp	January 9, 2015 00:51:07 UTC 2015 年 1 月 9 日 (金) 9 時 51 分 7 秒 (日本時間)
45	11e6	585 / 4409		Cyp	May 28, 2015 09:20:06 UTC 2015 年 5 月 28 日 (木) 18 時 20 分 6 秒 (日本時間)

673×10²⁴⁷-79

c247

composite cofactor 合成数の残り

3003123605533244087460954930834448906738063364569388665774207942882641677822400713966979027219991075412762159750111557340473003123605533244087460954930834448906738063364569388665774207942882641677822400713966979027219991075412762159750111557340473<247>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	2400	300	Serge Batalov	January 9, 2015 00:03:02 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 2 秒 (日本時間)
40	3e6	2400	2100	Serge Batalov	January 9, 2015 18:41:19 UTC 2015 年 1 月 10 日 (土) 3 時 41 分 19 秒 (日本時間)
45	11e6	3950	2100	Serge Batalov	January 9, 2015 20:57:05 UTC 2015 年 1 月 10 日 (土) 5 時 57 分 5 秒 (日本時間)
45	11e6	3950	1850	Serge Batalov	March 18, 2015 22:33:12 UTC 2015 年 3 月 19 日 (木) 7 時 33 分 12 秒 (日本時間)

673×10²⁴⁸-79

c206

name 名前	Serge Batalov
date 日付	January 9, 2015 03:49:06 UTC 2015 年 1 月 9 日 (金) 12 時 49 分 6 秒 (日本時間)
composite number 合成数	31079456443821768083339958857183996847202499452336057870175979745435231801640858322036789051793287549230870503960034918230641383602030364347404138826534983349373040831619443896478185332528081412784882752977<206>
prime factors 素因数	1796837584757082699035551805701<31> 17296753311192257097150304895444519650760446131643275571498880453513395071246164014800633712533449075628800144245128564103886740361226599619939809353100672700010219163883914077<176>
factorization results 素因数分解の結果	Input number is 31079456443821768083339958857183996847202499452336057870175979745435231801640858322036789051793287549230870503960034918230641383602030364347404138826534983349373040831619443896478185332528081412784882752977 (206 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3261986087 Step 1 took 16170ms Step 2 took 11069ms ********** Factor found in step 2: 1796837584757082699035551805701 Found probable prime factor of 31 digits: 1796837584757082699035551805701 Probable prime cofactor 17296753311192257097150304895444519650760446131643275571498880453513395071246164014800633712533449075628800144245128564103886740361226599619939809353100672700010219163883914077 has 176 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	300 / 2318		Serge Batalov	January 9, 2015 00:03:03 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 3 秒 (日本時間)

673×10²⁴⁹-79

c244

composite cofactor 合成数の残り

1549018151162227513235514241100918916925680109251030320907098216402729049591074974474056722922563710293713336532780838837889019883346596312149603261581316491560982486559108508337111453050538411204489746021165622901179664324912582955935085257211<244>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	301	300	Serge Batalov	January 9, 2015 00:03:03 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 3 秒 (日本時間)
40	3e6	301	1	Cyp	January 9, 2015 01:05:04 UTC 2015 年 1 月 9 日 (金) 10 時 5 分 4 秒 (日本時間)
45	11e6	585 / 4409		Cyp	June 14, 2015 17:43:45 UTC 2015 年 6 月 15 日 (月) 2 時 43 分 45 秒 (日本時間)

673×10²⁵⁰-79

c206

composite cofactor 合成数の残り

33183684332957142824373177781596842589682755873040155328518426265550954502188680039866082510673876194273369746734715304307614480943193180048107695256132018242013617270437331012884743846195043440692346356307<206>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	301	300	Serge Batalov	January 9, 2015 00:03:04 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 4 秒 (日本時間)
40	3e6	301	1	Cyp	January 9, 2015 00:39:03 UTC 2015 年 1 月 9 日 (金) 9 時 39 分 3 秒 (日本時間)
45	11e6	600 / 4409		Dmitry Domanov	April 27, 2015 14:08:08 UTC 2015 年 4 月 27 日 (月) 23 時 8 分 8 秒 (日本時間)

673×10²⁵¹-79

c164

composite cofactor 合成数の残り	19688812496818569949805402300823452576001745107786528641807126133087649354626020161240916753490138649692379539544684688355299960632256293254599522155189910446075453<164>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
40	3e6	2880	Erik Branger	December 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
45	11e6	1800	Dmitry Domanov	December 18, 2018 23:52:15 UTC 2018 年 12 月 19 日 (水) 8 時 52 分 15 秒 (日本時間)
50	43e6	584 / 7041	Dmitry Domanov	December 25, 2018 13:11:13 UTC 2018 年 12 月 25 日 (火) 22 時 11 分 13 秒 (日本時間)

673×10²⁵²-79

c253

composite cofactor 合成数の残り

2021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021021<253>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2880		Erik Branger	December 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

673×10²⁵³-79

c236

composite cofactor 合成数の残り

93244201677139535872994892979512781660616913429863728520565251960350891804402168470785410555969077343803264057758546633966161243582734122127106605485244076436746273135625856658582613399848373998155318721886995678739377033437732398611091<236>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2880		Erik Branger	December 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

673×10²⁵⁴-79

c209

composite cofactor 合成数の残り

40912607047859097928686570858805556215257307580812994575377293891024207416545431170145512943843663872547627888478772719783308335949503688804400662202929038144604038632194528942466067213345189589884220597436989<209>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2880		Erik Branger	December 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

673×10²⁵⁵-79

c252

composite cofactor 合成数の残り

148266526375249139536425869050034555133227277604065807425795687845427409656006237328223976305555059865088476342236154428950261977919523220675007044312304381264839044899201894286627615070135794954223536132420293523660848141810653732009465264545596142691<252>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2880		Erik Branger	December 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

673×10²⁵⁶-79

c252

composite cofactor 合成数の残り

103044701449872634146095736550741071310592791669443744337613271275618838169919365300984462742304907250505389857991386840971142874908279880616971652188273663025238403409778262348165814266503699863642615497454573861086953789014151742831170167820928091013<252>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2880		Erik Branger	December 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

673×10²⁵⁹-79

c235

composite cofactor 合成数の残り

8933007264369461680165603283153577320067294519520390331502316314543245712511555356276539846739161388082867518688361647948441327942387382582053151150458709337329178472836722874936384679096275490947825170652121612065769729281273510110207<235>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2880		Erik Branger	December 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

673×10²⁶⁰-79

c181

name 名前	Dmitry Domanov
date 日付	December 23, 2018 17:46:15 UTC 2018 年 12 月 24 日 (月) 2 時 46 分 15 秒 (日本時間)
composite number 合成数	3943451837793155021905012510274609040271267542339309352996657437584276596669750935990098823627739081257354026612679207046253318389716289578709670295495448987085752157600770024841023<181>
prime factors 素因数	50964037867273594355300469234365590378439<41> 487280273430001319312165637696596186480239<42> 158793924121612311800867051173405655263134775896788844577765965186276988244125648022535462250325063<99>
factorization results 素因数分解の結果	Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2589332108 Step 1 took 94998ms Step 2 took 30703ms ******** Factor found in step 2: 487280273430001319312165637696596186480239 Found probable prime factor of 42 digits: 487280273430001319312165637696596186480239 Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3364377937 Step 1 took 64003ms Step 2 took 24992ms ******** Factor found in step 2: 50964037867273594355300469234365590378439 Found probable prime factor of 41 digits: 50964037867273594355300469234365590378439

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2880		Erik Branger	December 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
45	11e6	2000 / 3844		Dmitry Domanov	December 23, 2018 00:26:40 UTC 2018 年 12 月 23 日 (日) 9 時 26 分 40 秒 (日本時間)

673×10²⁶¹-79

c237

composite cofactor 合成数の残り

316839861284670378890394721576922648048779416215109897978271012135136048589858106349594252919244278799358293253509662853926803863519296495396696905018189567687891036802806329311506723403529587698387731220156276358525255540023488837834157<237>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2880		Erik Branger	December 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

673×10²⁶²-79

c227

composite cofactor 合成数の残り

65145697613792428174931908370137566347249536377073874687632025181388909818510986333589983117340565539363000411523132961821581200145470517399255527570292988771917989680798338914824619062212069443837429974368726189710322165595213<227>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2880		Erik Branger	December 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

673×10²⁶⁴-79

c248

composite cofactor 合成数の残り

15235985247619257016854427405106527828304605695852669947576885751513430423501786596896839995217390746670585654828733870044864791766475350446377902412948326112927864511354966693154357663748890777889710006138970663828382493635036044238006050142398299<248>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2880		Erik Branger	December 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

673×10²⁶⁵-79

c221

composite cofactor 合成数の残り

28964201132620885913359448085370093791262069155454921768447953651835723499990431209761264782318458031644908779557858094236377314977188538607152740958622301321397011204089759200030856476222458393058644361768571126175180639<221>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2880		Erik Branger	December 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

673×10²⁶⁶-79

c206

composite cofactor 合成数の残り

29605149752499282151468951498907737013698182547904480505327958191143319456575769861009629414629711674765578652097936449180908221838954242372337766585250796947219915870396560808689235933413350957684544464671<206>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2880		Erik Branger	December 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

673×10²⁶⁹-79

c239

composite cofactor 合成数の残り

67760176530422115399304772165927465215540928585211856076499936664736914121448815673598562211450907131020178613290497374108190439563371255752409762419471622154548798937544889149736148168473389539776645257330081519779339264234267825335095253<239>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2880		Erik Branger	December 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

673×10²⁷¹-79

c265

composite cofactor 合成数の残り

2525564570473854196546220499619064367438164385715784010426067933017841083106461548988486490385659590386367836748010526944911222628259077038462055886182917574574762746935025967759219858012707310212537227736488493456328057721280650658325725858130991545202762769347629<265>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2880		Erik Branger	December 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

673×10²⁷³-79

c211

composite cofactor 合成数の残り

3307818583331351102031029927603758554798008715025020312273204079853124138083101275084073494475233770454852368929431105254384062798357541995903319752604145796026090428228401581223626782633178411764922941844929773<211>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2880		Erik Branger	December 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

673×10²⁷⁶-79

c256

composite cofactor 合成数の残り

8801514396666941720758755673858146691862242895547704619659207413895874353393961863615010576403347828752235373733102975230866830696370868716686023093356986685879343412882405744665031497103448486570057164461466363018067060634381942143375493068343676560290403<256>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2880		Erik Branger	December 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

673×10²⁷⁷-79

c245

composite cofactor 合成数の残り

43516580219859493680403297316908794046443422346932810708281065777497396210941742971861441531016526302122292314233003834626139623296575519523357954972366663881295620755330436221992784142054924980971549595681044687425552109217739750175106693836009<245>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2880		Erik Branger	December 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

673×10²⁷⁸-79

c230

composite cofactor 合成数の残り

48973958279214156475540946779874541058942241388691419023854420010738283712779827622851074759956610104388605201378834610818627984444262684272153613384015535345359926868837978070310893707897413841939266016684971419452383763824952573<230>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2880		Erik Branger	December 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

673×10²⁷⁹-79

c217

composite cofactor 合成数の残り

1873411570546770205607737721736089577178054894640854327363774993764588804373322109081389448851035132157565829011765136566420630997435404698446754614622489486207276458765953894771442531648591305850533225440206111609033<217>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2880		Erik Branger	December 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

673×10²⁸⁰-79

c189

name 名前	Dmitry Domanov
date 日付	April 15, 2024 21:00:03 UTC 2024 年 4 月 16 日 (火) 6 時 0 分 3 秒 (日本時間)
composite number 合成数	508723416529775667518860240192404973375762260006480070300736936256720834590325437922064220626288331261823727569373604994117574893083016329324382384221678815337010943794208292429453227275191<189>
prime factors 素因数	2044111977307326368470589907519897333074260853<46> 248872577518922566372719997695590896499141847126592191008644130971571154488549873190184239379159869163778548113281900666751475363758480768106747<144>
factorization results 素因数分解の結果	Resuming ECM residue saved by @1c4fd354eafa with GMP-ECM 7.0.5-dev on Mon Apr 15 14:38:28 2024 Input number is 508723416529775667518860240192404973375762260006480070300736936256720834590325437922064220626288331261823727569373604994117574893083016329324382384221678815337010943794208292429453227275191 (189 digits) Using B1=43000000-43000000, B2=240490660426, polynomial Dickson(12), sigma=3:4281330988 Step 1 took 0ms Step 2 took 27575ms ********** Factor found in step 2: 2044111977307326368470589907519897333074260853 Found prime factor of 46 digits: 2044111977307326368470589907519897333074260853 Prime cofactor 248872577518922566372719997695590896499141847126592191008644130971571154488549873190184239379159869163778548113281900666751475363758480768106747 has 144 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2880		Erik Branger	December 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
45	11e6	2000		Dmitry Domanov	December 23, 2018 21:57:31 UTC 2018 年 12 月 24 日 (月) 6 時 57 分 31 秒 (日本時間)
50	43e6	2320 / 6996	528	Dmitry Domanov	December 28, 2018 20:38:31 UTC 2018 年 12 月 29 日 (土) 5 時 38 分 31 秒 (日本時間)
50	43e6	2320 / 6996	1792	Dmitry Domanov	April 15, 2024 09:43:34 UTC 2024 年 4 月 15 日 (月) 18 時 43 分 34 秒 (日本時間)

673×10²⁸²-79

c275

composite cofactor 合成数の残り

64108662101063606551533265024039261786157266873496242323686788351562061282390866638304594469380756449000123712285633411609619200760801745850752622504590605771737694350430448900329673098423822652257869352252023185239244187386465518162499938414485279919933238264264481643115549<275>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2880		Erik Branger	December 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

673×10²⁸³-79

c228

composite cofactor 合成数の残り

575436053911183165015933444362363112725836045925609701450187651317155594425203550609423153576372114414175553110618496801502541333663391947670902565508329974033961896652740662684627274764096243469135647597540859553788472725719679<228>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2880		Erik Branger	December 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

673×10²⁸⁴-79

c243

composite cofactor 合成数の残り

509344172175245057077313978969046151074484885476503197785524218495187630287414641046160893338317981246637593809654366878372288094758845506082544869862484647128844233914906873029791925720133253255511450241586508223878479800241879795070855945937<243>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2880		Erik Branger	December 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

673×10²⁸⁵-79

c234

composite cofactor 合成数の残り

740765839546095766922111566063983601507282168678536533985039018577834662959324619245117790347002868174796261637959710302515651341798243501615857752940563752977236652226731587619394349941497353077294850501528400274058892240178918268959<234>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2880		Erik Branger	December 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

673×10²⁸⁶-79

c286

composite cofactor 合成数の残り

1793232081001865174527045030642152944311217692512656541433519850786037836397548627764455102584598987476685318411937116973088196109778843591793232081001865174527045030642152944311217692512656541433519850786037836397548627764455102584598987476685318411937116973088196109778843591793232081<286>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2880		Erik Branger	December 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

673×10²⁸⁹-79

c266

composite cofactor 合成数の残り

21553447811311376513690682817767314222119821159010890981927221124507659558603067461789008046325320736378173357023167565820027677783442319146083888106959224819429688058350161801636760766217694063073773814121034118524749775082101609473979308798111728795710800462761869<266>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2880		Erik Branger	December 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

673×10²⁹⁰-79

c289

composite cofactor 合成数の残り

4865177474156003759126725945203498879491072074025880141690161208703824188534663485867129328417552230174221065567845008313453336224969276368105255548326465697968625750018072724643967324513843707077278970577604279621195691462444878189835899660232776693414299139738306947155353141039543121521<289>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2880		Erik Branger	December 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

673×10²⁹¹-79

c281

composite cofactor 合成数の残り

16420255498772524875318808015094150478330777812334468662605871770495169221742613329560426807313024659083935259852897558561251567831731607919554496143838608526979342379090989383166903388692143938266075317412312768759376011179236540835898146314397586621839816300289656289670662550233<281>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2880		Erik Branger	December 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

673×10²⁹²-79

c294

composite cofactor 合成数の残り

249259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259<294>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2880		Erik Branger	December 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

673×10²⁹³-79

c263

composite cofactor 合成数の残り

15542291404650051795557128212990880008689048739114784296170353874619755150170972137742180867675453729834003425078610973050147908930266176687100275042126748373809370603784150759012080939216722343515718859092286679840359397110181092664261659268208761427307790142439<263>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2880		Erik Branger	December 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

673×10²⁹⁶-79

c272

composite cofactor 合成数の残り

36908712410179582689935051061842491147605931257792641579679560956698858332307864251222792595720646259067829289111352054723093782860246463066269922404897312007123322585062242064140635747519540577975639189622327070640453281668188763065860880437380689294932556388336859312373<272>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2880		Erik Branger	December 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

673×10²⁹⁷-79

c278

composite cofactor 合成数の残り

11948489869968660974181426607098075774380836915653890160182555131623167864067771529599535435166588508076640281021315572200215928254695041751359697296413677677590300396405137428656736322447463250262471633305831858644645781604743077873979101186075913072018889855518322367804775107<278>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2880		Erik Branger	December 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

673×10³⁰⁰-79

c229

composite cofactor 合成数の残り

4313437816280993171542346063280570498394360183851384850780051310678506276933491483557207651311947366865827906135439985329482634366125076674443862494857943228305120569093387749783489575887864644125334175474367079734141286229093769<229>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
40	3e6	2880	Erik Branger	December 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
45	11e6	2000	Dmitry Domanov	December 20, 2018 19:13:45 UTC 2018 年 12 月 21 日 (金) 4 時 13 分 45 秒 (日本時間)
50	43e6	528 / 6996	Dmitry Domanov	December 27, 2018 00:49:30 UTC 2018 年 12 月 27 日 (木) 9 時 49 分 30 秒 (日本時間)