Contributed factorization results of 1711...11

Table of contents 目次

154×10¹⁰¹-19
- c103
- ECM
154×10¹⁰⁸-19
- c108
- ECM
154×10¹¹³-19
- c115
- ECM
154×10¹¹⁷-19
- c112
- ECM
154×10¹²²-19
- c102
- ECM
154×10¹²³-19
- c113
- ECM
154×10¹²⁶-19
- c110
- ECM
154×10¹²⁸-19
- c104
- ECM
154×10¹³⁴-19
- c124
- ECM
154×10¹³⁷-19
- c129
- ECM
154×10¹³⁹-19
- c118
- ECM
154×10¹⁴⁰-19
- c105
- ECM
154×10¹⁴³-19
- c124
- ECM
154×10¹⁴⁶-19
- c123
- ECM
154×10¹⁵⁰-19
- c152
- ECM
154×10¹⁵²-19
- c147
- ECM
154×10¹⁵³-19
- c115
- ECM
154×10¹⁵⁵-19
- c128
- ECM
154×10¹⁵⁷-19
- c151
- ECM
154×10¹⁵⁸-19
- c112
- ECM
154×10¹⁵⁹-19
- c141
- ECM
154×10¹⁶⁰-19
- c157
- ECM
154×10¹⁶¹-19
- c142
- ECM
154×10¹⁶³-19
- c136
- ECM
154×10¹⁶⁴-19
- c108
- ECM
154×10¹⁶⁵-19
- c136
- c105
- ECM
154×10¹⁶⁹-19
- c150
- ECM
154×10¹⁷⁰-19
- c166
- ECM
154×10¹⁷²-19
- c156
- ECM
154×10¹⁷⁷-19
- c170
- ECM
154×10¹⁷⁸-19
- c127
- ECM
154×10¹⁷⁹-19
- c154
- ECM
154×10¹⁸⁰-19
- c172
- ECM
154×10¹⁸²-19
- c161
- ECM
154×10¹⁸³-19
- c129
- c97
- ECM
154×10¹⁸⁵-19
- c185
- c148
- ECM
154×10¹⁸⁶-19
- c179
- ECM
154×10¹⁸⁸-19
- c167
- c136
- ECM
154×10¹⁸⁹-19
- c160
- c122
- ECM
154×10¹⁹⁰-19
- c151
- ECM
154×10¹⁹³-19
- c141
- ECM
154×10¹⁹⁵-19
- c162
- c131
- ECM
154×10¹⁹⁶-19
- c156
- c123
- ECM
154×10¹⁹⁸-19
- c167
- c131
- ECM
154×10¹⁹⁹-19
- c181
- ECM
154×10²⁰⁰-19
- c183
- ECM
154×10²⁰²-19
- c179
- ECM
154×10²⁰⁴-19
- c143
- c111
- ECM
154×10²⁰⁵-19
- c184
- ECM
154×10²⁰⁶-19
- c175
- ECM
154×10²⁰⁷-19
- c161
- ECM
154×10²⁰⁸-19
- c202
- c172
- ECM
154×10²⁰⁹-19
- c178
- ECM
154×10²¹⁰-19
- c201
- ECM
154×10²¹¹-19
- c164
- ECM
154×10²¹²-19
- c202
- ECM
154×10²¹⁶-19
- c185
- ECM
154×10²¹⁷-19
- c186
- ECM
154×10²¹⁸-19
- c183
- ECM
154×10²²⁰-19
- c217
- ECM
154×10²²¹-19
- c167
- c132
- ECM
154×10²²²-19
- c216
- ECM
154×10²²⁴-19
- c202
- ECM
154×10²²⁶-19
- c190
- ECM
154×10²²⁸-19
- c227
- ECM
154×10²²⁹-19
- c209
- ECM
154×10²³²-19
- c178
- ECM
154×10²³³-19
- c202
- ECM
154×10²³⁴-19
- c215
- ECM
154×10²³⁶-19
- c198
- ECM
154×10²³⁷-19
- c170
- ECM
154×10²³⁹-19
- c241
- ECM
154×10²⁴⁰-19
- c200
- ECM
154×10²⁴²-19
- c244
- ECM
154×10²⁴³-19
- c195
- c140
- ECM
154×10²⁴⁴-19
- c229
- ECM
154×10²⁴⁵-19
- c245
- ECM
154×10²⁴⁶-19
- c237
- ECM
154×10²⁴⁸-19
- c203
- ECM
154×10²⁵⁰-19
- c247
- ECM
154×10²⁵¹-19
- c222
- ECM
154×10²⁵²-19
- c243
- ECM
154×10²⁵³-19
- c230
- ECM
154×10²⁵⁴-19
- c219
- ECM
154×10²⁵⁵-19
- c229
- ECM
154×10²⁵⁶-19
- c208
- ECM
154×10²⁶⁰-19
- c235
- ECM
154×10²⁶¹-19
- c190
- ECM
154×10²⁶²-19
- c229
- ECM
154×10²⁶⁴-19
- c243
- ECM
154×10²⁶⁶-19
- c257
- ECM
154×10²⁶⁷-19
- c228
- ECM
154×10²⁶⁸-19
- c220
- ECM
154×10²⁶⁹-19
- c268
- ECM
154×10²⁷¹-19
- c248
- ECM
154×10²⁷⁴-19
- c258
- ECM
154×10²⁷⁵-19
- c233
- ECM
154×10²⁷⁷-19
- c271
- ECM
154×10²⁷⁸-19
- c228
- ECM
154×10²⁸⁰-19
- c259
- ECM
154×10²⁸¹-19
- c215
- ECM
154×10²⁸³-19
- c241
- ECM
154×10²⁸⁵-19
- c241
- ECM
154×10²⁸⁶-19
- c244
- ECM
154×10²⁸⁷-19
- c286
- ECM
154×10²⁸⁸-19
- c272
- ECM
154×10²⁸⁹-19
- c201
- ECM
154×10²⁹⁰-19
- c281
- ECM
154×10²⁹²-19
- c277
- ECM
154×10²⁹³-19
- c240
- ECM
154×10²⁹⁴-19
- c292
- ECM
154×10²⁹⁵-19
- c296
- ECM
154×10²⁹⁶-19
- c241
- ECM
154×10²⁹⁷-19
- c268
- ECM
154×10²⁹⁸-19
- c271
- ECM
154×10²⁹⁹-19
- c251
- ECM

154×10¹⁰¹-19

c103

name 名前	Dmitry Domanov
date 日付	December 6, 2014 14:59:49 UTC 2014 年 12 月 6 日 (土) 23 時 59 分 49 秒 (日本時間)
composite number 合成数	1711111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<103>
prime factors 素因数	1055372057981497923057116551442668477477<40> 1621334484052740731634194125807216118692236660033589759586974843<64>
factorization results 素因数分解の結果	N=1711111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 ( 103 digits) SNFS difficulty: 103 digits. Divisors found: r1=1055372057981497923057116551442668477477 (pp40) r2=1621334484052740731634194125807216118692236660033589759586974843 (pp64) Version: Msieve v. 1.50 (SVN unknown) Total time: 0.14 hours. Scaled time: 0.31 units (timescale=2.136). Factorization parameters were as follows: n: 1711111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 m: 10000000000000000000000000 deg: 4 c4: 1540 c0: -1 skew: 0.16 # Murphy_E = 2.473e-07 type: snfs lss: 1 rlim: 370000 alim: 370000 lpbr: 25 lpba: 25 mfbr: 43 mfba: 43 rlambda: 2.2 alambda: 2.2 Factor base limits: 370000/370000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 43/43 Sieved rational special-q in [185000, 275001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 37531 x 37772 Total sieving time: 0.13 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.00 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,103.000,4,0,0,0,0,0,0,0,0,370000,370000,25,25,43,43,2.2,2.2,10000 total time: 0.14 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	0		-	-
35	1e6	118 / 904		Makoto Kamada	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

154×10¹⁰⁸-19

c108

name 名前	Dmitry Domanov
date 日付	December 6, 2014 17:01:48 UTC 2014 年 12 月 7 日 (日) 2 時 1 分 48 秒 (日本時間)
composite number 合成数	241001564945226917057902973395931142410015649452269170579029733959311424100156494522691705790297339593114241<108>
prime factors 素因数	5170606766591219804567845707348751<34> 11960145391184081985954974058673783<35> 3897103081489698539242931201335087499977<40>
factorization results 素因数分解の結果	N=241001564945226917057902973395931142410015649452269170579029733959311424100156494522691705790297339593114241 ( 108 digits) SNFS difficulty: 110 digits. Divisors found: r1=5170606766591219804567845707348751 (pp34) r2=11960145391184081985954974058673783 (pp35) r3=3897103081489698539242931201335087499977 (pp40) Version: Msieve v. 1.50 (SVN unknown) Total time: 0.39 hours. Scaled time: 0.81 units (timescale=2.069). Factorization parameters were as follows: n: 241001564945226917057902973395931142410015649452269170579029733959311424100156494522691705790297339593114241 m: 2000000000000000000000 deg: 5 c5: 9625 c0: -2 skew: 0.18 # Murphy_E = 3.365e-08 type: snfs lss: 1 rlim: 490000 alim: 490000 lpbr: 25 lpba: 25 mfbr: 44 mfba: 44 rlambda: 2.2 alambda: 2.2 Factor base limits: 490000/490000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 44/44 Sieved rational special-q in [245000, 495001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 49964 x 50189 Total sieving time: 0.36 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.01 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,110.000,5,0,0,0,0,0,0,0,0,490000,490000,25,25,44,44,2.2,2.2,50000 total time: 0.39 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
30	25e4	0		-	-
35	1e6	118 / 904		Makoto Kamada	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

154×10¹¹³-19

c115

name 名前	KTakahashi
date 日付	December 6, 2014 17:39:59 UTC 2014 年 12 月 7 日 (日) 2 時 39 分 59 秒 (日本時間)
composite number 合成数	1711111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<115>
prime factors 素因数	77635262527014240475595473455798237837311<41> 22040385456489012814437251439082155672330793155005021472826510807534175801<74>
factorization results 素因数分解の結果	Number: 17111_113 N=1711111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 ( 115 digits) SNFS difficulty: 116 digits. Divisors found: r1=77635262527014240475595473455798237837311 (pp41) r2=22040385456489012814437251439082155672330793155005021472826510807534175801 (pp74) Version: Msieve v. 1.51 (SVN Official Release) Total time: 1.69 hours. Scaled time: 2.91 units (timescale=1.719). Factorization parameters were as follows: n: 1711111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 m: 100000000000000000000000 c5: 77 c0: -50 skew: 0.92 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 : 82982 x 83216 Total sieving time: 1.64 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.02 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,116.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000 total time: 1.69 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

154×10¹¹⁷-19

c112

name 名前	KTakahashi
date 日付	December 6, 2014 17:40:36 UTC 2014 年 12 月 7 日 (日) 2 時 40 分 36 秒 (日本時間)
composite number 合成数	2693398754240113595666524283814340246116132113587481390407292436591752928445891953889223202636858367923831522731<112>
prime factors 素因数	1012896926691066338430200289950269<34> 528092387168045418026089227600444599<36> 5035301669418101973157954984263497407287601<43>
factorization results 素因数分解の結果	Number: 17111_117 N=2693398754240113595666524283814340246116132113587481390407292436591752928445891953889223202636858367923831522731 ( 112 digits) SNFS difficulty: 121 digits. Divisors found: r1=1012896926691066338430200289950269 (pp34) r2=528092387168045418026089227600444599 (pp36) r3=5035301669418101973157954984263497407287601 (pp43) Version: Msieve v. 1.51 (SVN Official Release) Total time: 2.11 hours. Scaled time: 4.37 units (timescale=2.068). Factorization parameters were as follows: n: 2693398754240113595666524283814340246116132113587481390407292436591752928445891953889223202636858367923831522731 m: 1000000000000000000000000 c5: 77 c0: -500 skew: 1.45 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 : 110133 x 110358 Total sieving time: 2.05 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.04 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,121.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

154×10¹²²-19

c102

name 名前	KTakahashi
date 日付	December 6, 2014 19:16:42 UTC 2014 年 12 月 7 日 (日) 4 時 16 分 42 秒 (日本時間)
composite number 合成数	161238008199185454719151857945265836238036202725140006501219354480984368738605772124671163844278238163<102>
prime factors 素因数	48633480009038598076554058738933200173842390620229<50> 3315370567132336667826476346470448031031338849550647<52>
factorization results 素因数分解の結果	Number: 17111_122 N=161238008199185454719151857945265836238036202725140006501219354480984368738605772124671163844278238163 ( 102 digits) SNFS difficulty: 126 digits. Divisors found: r1=48633480009038598076554058738933200173842390620229 (pp50) r2=3315370567132336667826476346470448031031338849550647 (pp52) Version: Msieve v. 1.51 (SVN Official Release) Total time: 2.84 hours. Scaled time: 5.87 units (timescale=2.068). Factorization parameters were as follows: n: 161238008199185454719151857945265836238036202725140006501219354480984368738605772124671163844278238163 m: 5000000000000000000000000 c5: 616 c0: -125 skew: 0.73 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, 600001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 122004 x 122235 Total sieving time: 2.77 hours. Total relation processing time: 0.02 hours. Matrix solve time: 0.05 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,126.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000 total time: 2.84 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
35	1e6	904	118	Makoto Kamada	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
35	1e6	904	786	KTakahashi	December 6, 2014 19:15:33 UTC 2014 年 12 月 7 日 (日) 4 時 15 分 33 秒 (日本時間)

154×10¹²³-19

c113

name 名前	Dmitry Domanov
date 日付	December 7, 2014 00:07:13 UTC 2014 年 12 月 7 日 (日) 9 時 7 分 13 秒 (日本時間)
composite number 合成数	84005394159517010512053042230413494807992128563339917787500162286673034519912376728663677489797094726330498210819<113>
prime factors 素因数	263851963643845340876370443907027550684247818482779<51> 318380780644520079880918248835436929433654045324749777892304761<63>
factorization results 素因数分解の結果	N=84005394159517010512053042230413494807992128563339917787500162286673034519912376728663677489797094726330498210819 ( 113 digits) SNFS difficulty: 125 digits. Divisors found: r1=263851963643845340876370443907027550684247818482779 (pp51) r2=318380780644520079880918248835436929433654045324749777892304761 (pp63) Version: Msieve v. 1.50 (SVN unknown) Total time: 1.04 hours. Scaled time: 2.21 units (timescale=2.135). Factorization parameters were as follows: n: 84005394159517010512053042230413494807992128563339917787500162286673034519912376728663677489797094726330498210819 m: 2000000000000000000000000 deg: 5 c5: 9625 c0: -2 skew: 0.18 # Murphy_E = 1.018e-08 type: snfs lss: 1 rlim: 860000 alim: 860000 lpbr: 26 lpba: 26 mfbr: 46 mfba: 46 rlambda: 2.3 alambda: 2.3 Factor base limits: 860000/860000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 46/46 Sieved rational special-q in [430000, 680001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 130212 x 130460 Total sieving time: 0.95 hours. Total relation processing time: 0.02 hours. Matrix solve time: 0.05 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,125.000,5,0,0,0,0,0,0,0,0,860000,860000,26,26,46,46,2.3,2.3,50000 total time: 1.04 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

154×10¹²⁶-19

c110

name 名前	Dmitry Domanov
date 日付	December 8, 2014 09:11:54 UTC 2014 年 12 月 8 日 (月) 18 時 11 分 54 秒 (日本時間)
composite number 合成数	82328809430947072303798722908579735644945726443506517578238866660242281911768496353092979322795066190256627807<110>
prime factors 素因数	18400703346524907811301691223765908127<38> 4474220788223043768349442596322174440086310495769045051129661286149259841<73>
factorization results 素因数分解の結果	N=82328809430947072303798722908579735644945726443506517578238866660242281911768496353092979322795066190256627807 ( 110 digits) SNFS difficulty: 128 digits. Divisors found: r1=18400703346524907811301691223765908127 (pp38) r2=4474220788223043768349442596322174440086310495769045051129661286149259841 (pp73) Version: Msieve v. 1.50 (SVN unknown) Total time: 1.91 hours. Scaled time: 0.00 units (timescale=0.000). Factorization parameters were as follows: n: 82328809430947072303798722908579735644945726443506517578238866660242281911768496353092979322795066190256627807 m: 10000000000000000000000000 deg: 5 c5: 1540 c0: -1 skew: 0.23 # Murphy_E = 8.94e-09 type: snfs lss: 1 rlim: 960000 alim: 960000 lpbr: 26 lpba: 26 mfbr: 47 mfba: 47 rlambda: 2.3 alambda: 2.3 Factor base limits: 960000/960000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 47/47 Sieved rational special-q in [480000, 830001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 128680 x 128910 Total sieving time: 1.76 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.04 hours. Time per square root: 0.08 hours. Prototype def-par.txt line would be: snfs,128.000,5,0,0,0,0,0,0,0,0,960000,960000,26,26,47,47,2.3,2.3,50000 total time: 1.91 hours.

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

154×10¹²⁸-19

c104

name 名前	Dmitry Domanov
date 日付	December 8, 2014 11:19:04 UTC 2014 年 12 月 8 日 (月) 20 時 19 分 4 秒 (日本時間)
composite number 合成数	13416999515537371016434799017291562581596627193519650973064138939049447996308317979370080262624852493943<104>
prime factors 素因数	963656653123079264474188158108240517<36> 13923008233331563377696396497877936857334658563597250630072871314379<68>
factorization results 素因数分解の結果	N=13416999515537371016434799017291562581596627193519650973064138939049447996308317979370080262624852493943 ( 104 digits) SNFS difficulty: 130 digits. Divisors found: r1=963656653123079264474188158108240517 (pp36) r2=13923008233331563377696396497877936857334658563597250630072871314379 (pp68) Version: Msieve v. 1.50 (SVN unknown) Total time: 1.98 hours. Scaled time: 0.00 units (timescale=0.000). Factorization parameters were as follows: n: 13416999515537371016434799017291562581596627193519650973064138939049447996308317979370080262624852493943 m: 20000000000000000000000000 deg: 5 c5: 9625 c0: -2 skew: 0.18 # Murphy_E = 6.747e-09 type: snfs lss: 1 rlim: 1050000 alim: 1050000 lpbr: 26 lpba: 26 mfbr: 47 mfba: 47 rlambda: 2.3 alambda: 2.3 Factor base limits: 1050000/1050000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 47/47 Sieved rational special-q in [525000, 875001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 169053 x 169277 Total sieving time: 1.78 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.08 hours. Time per square root: 0.09 hours. Prototype def-par.txt line would be: snfs,130.000,5,0,0,0,0,0,0,0,0,1050000,1050000,26,26,47,47,2.3,2.3,50000 total time: 1.98 hours.

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

154×10¹³⁴-19

c124

name 名前	Dmitry Domanov
date 日付	December 9, 2014 14:01:33 UTC 2014 年 12 月 9 日 (火) 23 時 1 分 33 秒 (日本時間)
composite number 合成数	1645287432588087111916150342474107773588428337637944669276201304703541224604649886529742558842825941157848156660807785594737<124>
prime factors 素因数	29969946030307303890067780868962640407<38> 54897911091474086657911314953806763286933469061260281747180202026510859635375702411191<86>
factorization results 素因数分解の結果	N=1645287432588087111916150342474107773588428337637944669276201304703541224604649886529742558842825941157848156660807785594737 ( 124 digits) SNFS difficulty: 136 digits. Divisors found: r1=29969946030307303890067780868962640407 (pp38) r2=54897911091474086657911314953806763286933469061260281747180202026510859635375702411191 (pp86) Version: Msieve v. 1.50 (SVN unknown) Total time: 2.84 hours. Scaled time: 0.00 units (timescale=0.000). Factorization parameters were as follows: n: 1645287432588087111916150342474107773588428337637944669276201304703541224604649886529742558842825941157848156660807785594737 m: 1000000000000000000000000000 deg: 5 c5: 77 c0: -5 skew: 0.58 # Murphy_E = 4.712e-09 type: snfs lss: 1 rlim: 1340000 alim: 1340000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.3 alambda: 2.3 Factor base limits: 1340000/1340000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved rational special-q in [670000, 1195001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 222282 x 222512 Total sieving time: 2.74 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.05 hours. Time per square root: 0.02 hours. Prototype def-par.txt line would be: snfs,136.000,5,0,0,0,0,0,0,0,0,1340000,1340000,26,26,48,48,2.3,2.3,75000 total time: 2.84 hours.

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
35	1e6	418	300	Ignacio Santos	December 9, 2014 13:23:18 UTC 2014 年 12 月 9 日 (火) 22 時 23 分 18 秒 (日本時間)
40	3e6	110 / 2126		Ignacio Santos	December 9, 2014 13:23:18 UTC 2014 年 12 月 9 日 (火) 22 時 23 分 18 秒 (日本時間)
45	11e6	32 / 4437		Ignacio Santos	December 9, 2014 13:23:18 UTC 2014 年 12 月 9 日 (火) 22 時 23 分 18 秒 (日本時間)

154×10¹³⁷-19

c129

name 名前	Dmitry Domanov
date 日付	December 11, 2014 23:10:10 UTC 2014 年 12 月 12 日 (金) 8 時 10 分 10 秒 (日本時間)
composite number 合成数	426002730156393845946491005972283505031690846139168417032562617683560222275381443167541897035108419957480212178094331908632402873<129>
prime factors 素因数	70500613518692343502801783613935671994145343043468310314552229<62> 6042539332561192891081246633320474780896527286906893851393929077637<67>
factorization results 素因数分解の結果	N=426002730156393845946491005972283505031690846139168417032562617683560222275381443167541897035108419957480212178094331908632402873 ( 129 digits) SNFS difficulty: 139 digits. Divisors found: r1=70500613518692343502801783613935671994145343043468310314552229 (pp62) r2=6042539332561192891081246633320474780896527286906893851393929077637 (pp67) Version: Msieve v. 1.50 (SVN unknown) Total time: 3.66 hours. Scaled time: 7.43 units (timescale=2.029). Factorization parameters were as follows: n: 426002730156393845946491005972283505031690846139168417032562617683560222275381443167541897035108419957480212178094331908632402873 m: 1000000000000000000000000000 deg: 5 c5: 15400 c0: -1 skew: 0.15 # Murphy_E = 3.012e-09 type: snfs lss: 1 rlim: 1460000 alim: 1460000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.3 alambda: 2.3 Factor base limits: 1460000/1460000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved rational special-q in [730000, 1630001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 236658 x 236884 Total sieving time: 3.46 hours. Total relation processing time: 0.04 hours. Matrix solve time: 0.15 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,139.000,5,0,0,0,0,0,0,0,0,1460000,1460000,26,26,48,48,2.3,2.3,75000 total time: 3.66 hours.

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
35	1e6	418	300	Ignacio Santos	December 9, 2014 19:51:15 UTC 2014 年 12 月 10 日 (水) 4 時 51 分 15 秒 (日本時間)
40	3e6	110 / 2126		Ignacio Santos	December 9, 2014 19:51:15 UTC 2014 年 12 月 10 日 (水) 4 時 51 分 15 秒 (日本時間)
45	11e6	32 / 4437		Ignacio Santos	December 9, 2014 19:51:15 UTC 2014 年 12 月 10 日 (水) 4 時 51 分 15 秒 (日本時間)

154×10¹³⁹-19

c118

name 名前	Cyp
date 日付	December 13, 2014 17:00:38 UTC 2014 年 12 月 14 日 (日) 2 時 0 分 38 秒 (日本時間)
composite number 合成数	2272746295985907843939317938168282674342951386762492560744515142039253978428718615338831443099879359409787168268422073<118>
prime factors 素因数	533969928592401449607780601098936070506375069946003<51> 4256318894168995900908897363276233542713223758675929948731382578691<67>
factorization results 素因数分解の結果	12/13/14 17:15:03 v1.34.3, 12/13/14 17:15:03 v1.34.3, ************************** 12/13/14 17:15:03 v1.34.3, Starting factorization of 2272746295985907843939317938168282674342951386762492560744515142039253978428718615338831443099879359409787168268422073 12/13/14 17:15:03 v1.34.3, using pretesting plan: none 12/13/14 17:15:03 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 12/13/14 17:15:03 v1.34.3, ************************** 12/13/14 17:15:03 v1.34.3, nfs: commencing nfs on c118: 2272746295985907843939317938168282674342951386762492560744515142039253978428718615338831443099879359409787168268422073 12/13/14 17:15:03 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq 12/13/14 17:15:03 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/13/14 17:15:53 v1.34.3, nfs: commencing lattice sieving with 8 threads [45 lines snipped] 12/13/14 17:56:05 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/13/14 17:56:57 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/13/14 17:57:51 v1.34.3, nfs: commencing msieve filtering 12/13/14 17:58:46 v1.34.3, nfs: commencing msieve linear algebra 12/13/14 18:00:22 v1.34.3, nfs: commencing msieve sqrt 12/13/14 18:00:37 v1.34.3, prp51 = 533969928592401449607780601098936070506375069946003 12/13/14 18:00:37 v1.34.3, prp67 = 4256318894168995900908897363276233542713223758675929948731382578691 12/13/14 18:00:37 v1.34.3, NFS elapsed time = 2734.4916 seconds. 12/13/14 18:00:37 v1.34.3, 12/13/14 18:00:37 v1.34.3, 12/13/14 18:00:37 v1.34.3, Total factoring time = 2734.4921 seconds -- Sat Dec 13 17:57:51 2014 Sat Dec 13 17:57:51 2014 commencing relation filtering Sat Dec 13 17:57:51 2014 estimated available RAM is 15987.3 MB Sat Dec 13 17:57:51 2014 commencing duplicate removal, pass 1 Sat Dec 13 17:58:04 2014 found 632830 hash collisions in 4555558 relations Sat Dec 13 17:58:09 2014 added 180645 free relations Sat Dec 13 17:58:09 2014 commencing duplicate removal, pass 2 Sat Dec 13 17:58:13 2014 found 464739 duplicates and 4271464 unique relations Sat Dec 13 17:58:13 2014 memory use: 20.6 MB Sat Dec 13 17:58:13 2014 reading ideals above 100000 Sat Dec 13 17:58:13 2014 commencing singleton removal, initial pass Sat Dec 13 17:58:34 2014 memory use: 94.1 MB Sat Dec 13 17:58:34 2014 reading all ideals from disk Sat Dec 13 17:58:34 2014 memory use: 135.4 MB Sat Dec 13 17:58:35 2014 keeping 4566248 ideals with weight <= 200, target excess is 22195 Sat Dec 13 17:58:35 2014 commencing in-memory singleton removal Sat Dec 13 17:58:35 2014 begin with 4271464 relations and 4566248 unique ideals Sat Dec 13 17:58:36 2014 reduce to 1872207 relations and 1543360 ideals in 11 passes Sat Dec 13 17:58:36 2014 max relations containing the same ideal: 114 Sat Dec 13 17:58:37 2014 removing 515025 relations and 363475 ideals in 151550 cliques Sat Dec 13 17:58:37 2014 commencing in-memory singleton removal Sat Dec 13 17:58:37 2014 begin with 1357182 relations and 1543360 unique ideals Sat Dec 13 17:58:38 2014 reduce to 1263560 relations and 1077136 ideals in 8 passes Sat Dec 13 17:58:38 2014 max relations containing the same ideal: 89 Sat Dec 13 17:58:38 2014 removing 434331 relations and 282781 ideals in 151550 cliques Sat Dec 13 17:58:38 2014 commencing in-memory singleton removal Sat Dec 13 17:58:38 2014 begin with 829229 relations and 1077136 unique ideals Sat Dec 13 17:58:38 2014 reduce to 746445 relations and 701673 ideals in 8 passes Sat Dec 13 17:58:38 2014 max relations containing the same ideal: 60 Sat Dec 13 17:58:38 2014 removing 82306 relations and 63281 ideals in 19025 cliques Sat Dec 13 17:58:38 2014 commencing in-memory singleton removal Sat Dec 13 17:58:38 2014 begin with 664139 relations and 701673 unique ideals Sat Dec 13 17:58:39 2014 reduce to 657108 relations and 631191 ideals in 6 passes Sat Dec 13 17:58:39 2014 max relations containing the same ideal: 54 Sat Dec 13 17:58:39 2014 relations with 0 large ideals: 474 Sat Dec 13 17:58:39 2014 relations with 1 large ideals: 219 Sat Dec 13 17:58:39 2014 relations with 2 large ideals: 3186 Sat Dec 13 17:58:39 2014 relations with 3 large ideals: 22577 Sat Dec 13 17:58:39 2014 relations with 4 large ideals: 80750 Sat Dec 13 17:58:39 2014 relations with 5 large ideals: 161972 Sat Dec 13 17:58:39 2014 relations with 6 large ideals: 196568 Sat Dec 13 17:58:39 2014 relations with 7+ large ideals: 191362 Sat Dec 13 17:58:39 2014 commencing 2-way merge Sat Dec 13 17:58:39 2014 reduce to 417354 relation sets and 391437 unique ideals Sat Dec 13 17:58:39 2014 commencing full merge Sat Dec 13 17:58:44 2014 memory use: 52.4 MB Sat Dec 13 17:58:44 2014 found 210973 cycles, need 207637 Sat Dec 13 17:58:44 2014 weight of 207637 cycles is about 14913057 (71.82/cycle) Sat Dec 13 17:58:44 2014 distribution of cycle lengths: Sat Dec 13 17:58:44 2014 1 relations: 12776 Sat Dec 13 17:58:44 2014 2 relations: 17834 Sat Dec 13 17:58:44 2014 3 relations: 20384 Sat Dec 13 17:58:44 2014 4 relations: 20895 Sat Dec 13 17:58:44 2014 5 relations: 20594 Sat Dec 13 17:58:44 2014 6 relations: 19683 Sat Dec 13 17:58:44 2014 7 relations: 18066 Sat Dec 13 17:58:44 2014 8 relations: 15834 Sat Dec 13 17:58:44 2014 9 relations: 13564 Sat Dec 13 17:58:44 2014 10+ relations: 48007 Sat Dec 13 17:58:44 2014 heaviest cycle: 21 relations Sat Dec 13 17:58:44 2014 commencing cycle optimization Sat Dec 13 17:58:44 2014 start with 1390256 relations Sat Dec 13 17:58:46 2014 pruned 47781 relations Sat Dec 13 17:58:46 2014 memory use: 41.5 MB Sat Dec 13 17:58:46 2014 distribution of cycle lengths: Sat Dec 13 17:58:46 2014 1 relations: 12776 Sat Dec 13 17:58:46 2014 2 relations: 18229 Sat Dec 13 17:58:46 2014 3 relations: 21152 Sat Dec 13 17:58:46 2014 4 relations: 21584 Sat Dec 13 17:58:46 2014 5 relations: 21550 Sat Dec 13 17:58:46 2014 6 relations: 20462 Sat Dec 13 17:58:46 2014 7 relations: 18729 Sat Dec 13 17:58:46 2014 8 relations: 16242 Sat Dec 13 17:58:46 2014 9 relations: 13652 Sat Dec 13 17:58:46 2014 10+ relations: 43261 Sat Dec 13 17:58:46 2014 heaviest cycle: 21 relations Sat Dec 13 17:58:46 2014 RelProcTime: 55 Sat Dec 13 17:58:46 2014 Sat Dec 13 17:58:46 2014 commencing linear algebra Sat Dec 13 17:58:46 2014 read 207637 cycles Sat Dec 13 17:58:47 2014 cycles contain 642317 unique relations Sat Dec 13 17:58:51 2014 read 642317 relations Sat Dec 13 17:58:52 2014 using 20 quadratic characters above 67108494 Sat Dec 13 17:58:54 2014 building initial matrix Sat Dec 13 17:58:58 2014 memory use: 78.5 MB Sat Dec 13 17:58:58 2014 read 207637 cycles Sat Dec 13 17:58:58 2014 matrix is 207465 x 207637 (62.6 MB) with weight 18976642 (91.39/col) Sat Dec 13 17:58:58 2014 sparse part has weight 14129416 (68.05/col) Sat Dec 13 17:58:59 2014 filtering completed in 2 passes Sat Dec 13 17:58:59 2014 matrix is 207440 x 207616 (62.6 MB) with weight 18975906 (91.40/col) Sat Dec 13 17:58:59 2014 sparse part has weight 14129143 (68.05/col) Sat Dec 13 17:58:59 2014 matrix starts at (0, 0) Sat Dec 13 17:58:59 2014 matrix is 207440 x 207616 (62.6 MB) with weight 18975906 (91.40/col) Sat Dec 13 17:58:59 2014 sparse part has weight 14129143 (68.05/col) Sat Dec 13 17:58:59 2014 saving the first 48 matrix rows for later Sat Dec 13 17:58:59 2014 matrix includes 64 packed rows Sat Dec 13 17:58:59 2014 matrix is 207392 x 207616 (59.1 MB) with weight 14942396 (71.97/col) Sat Dec 13 17:58:59 2014 sparse part has weight 13408387 (64.58/col) Sat Dec 13 17:58:59 2014 using block size 65536 for processor cache size 8192 kB Sat Dec 13 17:59:00 2014 commencing Lanczos iteration (8 threads) Sat Dec 13 17:59:00 2014 memory use: 56.2 MB Sat Dec 13 17:59:04 2014 linear algebra at 5.9%, ETA 0h 1m Sat Dec 13 18:00:22 2014 lanczos halted after 3281 iterations (dim = 207392) Sat Dec 13 18:00:22 2014 recovered 37 nontrivial dependencies Sat Dec 13 18:00:22 2014 BLanczosTime: 96 Sat Dec 13 18:00:22 2014 Sat Dec 13 18:00:22 2014 commencing square root phase Sat Dec 13 18:00:22 2014 reading relations for dependency 1 Sat Dec 13 18:00:22 2014 read 103791 cycles Sat Dec 13 18:00:22 2014 cycles contain 321206 unique relations Sat Dec 13 18:00:26 2014 read 321206 relations Sat Dec 13 18:00:27 2014 multiplying 321206 relations Sat Dec 13 18:00:31 2014 multiply complete, coefficients have about 8.27 million bits Sat Dec 13 18:00:31 2014 initial square root is modulo 56591 Sat Dec 13 18:00:37 2014 sqrtTime: 15 -- n: 2272746295985907843939317938168282674342951386762492560744515142039253978428718615338831443099879359409787168268422073 m: 10000000000000000000000000000 deg: 5 c5: 77 c0: -5 skew: 0.58 # Murphy_E = 3.081e-09 type: snfs lss: 1 rlim: 1620000 alim: 1620000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 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	118		Makoto Kamada	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	580 / 2318	280	Pierre Jammes	December 10, 2014 14:40:14 UTC 2014 年 12 月 10 日 (水) 23 時 40 分 14 秒 (日本時間)
40	3e6	580 / 2318	300	Serge Batalov	December 10, 2014 19:48:50 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 50 秒 (日本時間)

154×10¹⁴⁰-19

c105

name 名前	Cyp
date 日付	December 13, 2014 19:42:45 UTC 2014 年 12 月 14 日 (日) 4 時 42 分 45 秒 (日本時間)
composite number 合成数	443799053594561054306728045006089937841291780159079432371548582834453877248853139742899056241007128734429<105>
prime factors 素因数	131580480623648968624168162487345626986358615133<48> 3372833504567675371316921192288666489143785979348349046913<58>
factorization results 素因数分解の結果	12/13/14 19:51:37 v1.34.3, 12/13/14 19:51:37 v1.34.3, ************************** 12/13/14 19:51:37 v1.34.3, Starting factorization of 443799053594561054306728045006089937841291780159079432371548582834453877248853139742899056241007128734429 12/13/14 19:51:37 v1.34.3, using pretesting plan: none 12/13/14 19:51:37 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 12/13/14 19:51:37 v1.34.3, ************************** 12/13/14 19:51:37 v1.34.3, nfs: commencing nfs on c105: 443799053594561054306728045006089937841291780159079432371548582834453877248853139742899056241007128734429 12/13/14 19:51:37 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq 12/13/14 19:51:37 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/13/14 19:51:52 v1.34.3, nfs: commencing lattice sieving with 8 threads [176 lines snipped] 12/13/14 20:39:00 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/13/14 20:39:15 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/13/14 20:39:31 v1.34.3, nfs: commencing msieve filtering 12/13/14 20:40:22 v1.34.3, nfs: commencing msieve linear algebra 12/13/14 20:42:27 v1.34.3, nfs: commencing msieve sqrt 12/13/14 20:42:44 v1.34.3, prp48 = 131580480623648968624168162487345626986358615133 12/13/14 20:42:44 v1.34.3, prp58 = 3372833504567675371316921192288666489143785979348349046913 12/13/14 20:42:44 v1.34.3, NFS elapsed time = 3067.5505 seconds. 12/13/14 20:42:44 v1.34.3, 12/13/14 20:42:44 v1.34.3, 12/13/14 20:42:44 v1.34.3, Total factoring time = 3067.5510 seconds -- Sat Dec 13 20:39:31 2014 Sat Dec 13 20:39:31 2014 commencing relation filtering Sat Dec 13 20:39:31 2014 estimated available RAM is 15987.3 MB Sat Dec 13 20:39:31 2014 commencing duplicate removal, pass 1 Sat Dec 13 20:39:43 2014 found 744450 hash collisions in 4471523 relations Sat Dec 13 20:39:47 2014 added 177295 free relations Sat Dec 13 20:39:47 2014 commencing duplicate removal, pass 2 Sat Dec 13 20:39:50 2014 found 628895 duplicates and 4019923 unique relations Sat Dec 13 20:39:50 2014 memory use: 20.6 MB Sat Dec 13 20:39:50 2014 reading ideals above 100000 Sat Dec 13 20:39:50 2014 commencing singleton removal, initial pass Sat Dec 13 20:40:08 2014 memory use: 94.1 MB Sat Dec 13 20:40:08 2014 reading all ideals from disk Sat Dec 13 20:40:08 2014 memory use: 124.6 MB Sat Dec 13 20:40:08 2014 keeping 4485150 ideals with weight <= 200, target excess is 20152 Sat Dec 13 20:40:08 2014 commencing in-memory singleton removal Sat Dec 13 20:40:09 2014 begin with 4019923 relations and 4485150 unique ideals Sat Dec 13 20:40:10 2014 reduce to 1580771 relations and 1384427 ideals in 15 passes Sat Dec 13 20:40:10 2014 max relations containing the same ideal: 110 Sat Dec 13 20:40:11 2014 removing 370146 relations and 283662 ideals in 86484 cliques Sat Dec 13 20:40:11 2014 commencing in-memory singleton removal Sat Dec 13 20:40:11 2014 begin with 1210625 relations and 1384427 unique ideals Sat Dec 13 20:40:11 2014 reduce to 1148183 relations and 1034082 ideals in 8 passes Sat Dec 13 20:40:11 2014 max relations containing the same ideal: 84 Sat Dec 13 20:40:11 2014 removing 296863 relations and 210379 ideals in 86484 cliques Sat Dec 13 20:40:11 2014 commencing in-memory singleton removal Sat Dec 13 20:40:11 2014 begin with 851320 relations and 1034082 unique ideals Sat Dec 13 20:40:12 2014 reduce to 803066 relations and 771725 ideals in 8 passes Sat Dec 13 20:40:12 2014 max relations containing the same ideal: 65 Sat Dec 13 20:40:12 2014 relations with 0 large ideals: 480 Sat Dec 13 20:40:12 2014 relations with 1 large ideals: 200 Sat Dec 13 20:40:12 2014 relations with 2 large ideals: 3528 Sat Dec 13 20:40:12 2014 relations with 3 large ideals: 25414 Sat Dec 13 20:40:12 2014 relations with 4 large ideals: 95407 Sat Dec 13 20:40:12 2014 relations with 5 large ideals: 197349 Sat Dec 13 20:40:12 2014 relations with 6 large ideals: 244584 Sat Dec 13 20:40:12 2014 relations with 7+ large ideals: 236104 Sat Dec 13 20:40:12 2014 commencing 2-way merge Sat Dec 13 20:40:12 2014 reduce to 507509 relation sets and 476168 unique ideals Sat Dec 13 20:40:12 2014 commencing full merge Sat Dec 13 20:40:19 2014 memory use: 62.4 MB Sat Dec 13 20:40:19 2014 found 252601 cycles, need 242368 Sat Dec 13 20:40:19 2014 weight of 242368 cycles is about 17018979 (70.22/cycle) Sat Dec 13 20:40:19 2014 distribution of cycle lengths: Sat Dec 13 20:40:19 2014 1 relations: 13122 Sat Dec 13 20:40:19 2014 2 relations: 20894 Sat Dec 13 20:40:19 2014 3 relations: 24674 Sat Dec 13 20:40:19 2014 4 relations: 24421 Sat Dec 13 20:40:19 2014 5 relations: 23894 Sat Dec 13 20:40:19 2014 6 relations: 22634 Sat Dec 13 20:40:19 2014 7 relations: 20492 Sat Dec 13 20:40:19 2014 8 relations: 18217 Sat Dec 13 20:40:19 2014 9 relations: 15860 Sat Dec 13 20:40:19 2014 10+ relations: 58160 Sat Dec 13 20:40:19 2014 heaviest cycle: 20 relations Sat Dec 13 20:40:19 2014 commencing cycle optimization Sat Dec 13 20:40:19 2014 start with 1633598 relations Sat Dec 13 20:40:21 2014 pruned 50646 relations Sat Dec 13 20:40:21 2014 memory use: 48.8 MB Sat Dec 13 20:40:21 2014 distribution of cycle lengths: Sat Dec 13 20:40:21 2014 1 relations: 13122 Sat Dec 13 20:40:21 2014 2 relations: 21333 Sat Dec 13 20:40:21 2014 3 relations: 25646 Sat Dec 13 20:40:21 2014 4 relations: 25293 Sat Dec 13 20:40:21 2014 5 relations: 24856 Sat Dec 13 20:40:21 2014 6 relations: 23309 Sat Dec 13 20:40:21 2014 7 relations: 21136 Sat Dec 13 20:40:21 2014 8 relations: 18643 Sat Dec 13 20:40:21 2014 9 relations: 16073 Sat Dec 13 20:40:21 2014 10+ relations: 52957 Sat Dec 13 20:40:21 2014 heaviest cycle: 20 relations Sat Dec 13 20:40:22 2014 RelProcTime: 51 Sat Dec 13 20:40:22 2014 Sat Dec 13 20:40:22 2014 commencing linear algebra Sat Dec 13 20:40:22 2014 read 242368 cycles Sat Dec 13 20:40:22 2014 cycles contain 752002 unique relations Sat Dec 13 20:40:26 2014 read 752002 relations Sat Dec 13 20:40:27 2014 using 20 quadratic characters above 67099790 Sat Dec 13 20:40:29 2014 building initial matrix Sat Dec 13 20:40:33 2014 memory use: 90.8 MB Sat Dec 13 20:40:33 2014 read 242368 cycles Sat Dec 13 20:40:33 2014 matrix is 242196 x 242368 (72.0 MB) with weight 22053576 (90.99/col) Sat Dec 13 20:40:33 2014 sparse part has weight 16197508 (66.83/col) Sat Dec 13 20:40:35 2014 filtering completed in 2 passes Sat Dec 13 20:40:35 2014 matrix is 242020 x 242196 (71.9 MB) with weight 22045669 (91.02/col) Sat Dec 13 20:40:35 2014 sparse part has weight 16193826 (66.86/col) Sat Dec 13 20:40:35 2014 matrix starts at (0, 0) Sat Dec 13 20:40:35 2014 matrix is 242020 x 242196 (71.9 MB) with weight 22045669 (91.02/col) Sat Dec 13 20:40:35 2014 sparse part has weight 16193826 (66.86/col) Sat Dec 13 20:40:35 2014 saving the first 48 matrix rows for later Sat Dec 13 20:40:35 2014 matrix includes 64 packed rows Sat Dec 13 20:40:35 2014 matrix is 241972 x 242196 (68.2 MB) with weight 17337801 (71.59/col) Sat Dec 13 20:40:35 2014 sparse part has weight 15445827 (63.77/col) Sat Dec 13 20:40:35 2014 using block size 65536 for processor cache size 8192 kB Sat Dec 13 20:40:36 2014 commencing Lanczos iteration (8 threads) Sat Dec 13 20:40:36 2014 memory use: 64.7 MB Sat Dec 13 20:40:41 2014 linear algebra at 5.0%, ETA 0h 1m Sat Dec 13 20:42:27 2014 lanczos halted after 3828 iterations (dim = 241970) Sat Dec 13 20:42:27 2014 recovered 37 nontrivial dependencies Sat Dec 13 20:42:27 2014 BLanczosTime: 125 Sat Dec 13 20:42:27 2014 Sat Dec 13 20:42:27 2014 commencing square root phase Sat Dec 13 20:42:27 2014 reading relations for dependency 1 Sat Dec 13 20:42:27 2014 read 121250 cycles Sat Dec 13 20:42:28 2014 cycles contain 375714 unique relations Sat Dec 13 20:42:31 2014 read 375714 relations Sat Dec 13 20:42:32 2014 multiplying 375714 relations Sat Dec 13 20:42:37 2014 multiply complete, coefficients have about 9.65 million bits Sat Dec 13 20:42:37 2014 initial square root is modulo 353471 Sat Dec 13 20:42:44 2014 sqrtTime: 17 -- n: 443799053594561054306728045006089937841291780159079432371548582834453877248853139742899056241007128734429 m: 10000000000000000000000000000 deg: 5 c5: 154 c0: -1 skew: 0.37 # Murphy_E = 3.452e-09 type: snfs lss: 1 rlim: 1640000 alim: 1640000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 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	118	Makoto Kamada	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	273 / 2077	Pierre Jammes	December 9, 2014 20:54:30 UTC 2014 年 12 月 10 日 (水) 5 時 54 分 30 秒 (日本時間)
45	11e6	70 / 4415	Pierre Jammes	December 10, 2014 13:14:18 UTC 2014 年 12 月 10 日 (水) 22 時 14 分 18 秒 (日本時間)

154×10¹⁴³-19

c124

name 名前	Serge Batalov
date 日付	December 10, 2014 20:19:57 UTC 2014 年 12 月 11 日 (木) 5 時 19 分 57 秒 (日本時間)
composite number 合成数	6480178183819311923476838524969450305561856208404948158543283010577469726285700097224793653438671997863877558379383354178821<124>
prime factors 素因数	13112396406681475789050569051437<32> 325678477865377374055339539436849871<36> 1517454989653037915525418958504669665816949915583137071223<58>
factorization results 素因数分解の結果	Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1126935085 Step 1 took 7572ms Step 2 took 6353ms ******** Factor found in step 2: 325678477865377374055339539436849871 Found probable prime factor of 36 digits: 325678477865377374055339539436849871 -- Input number is 6480178183819311923476838524969450305561856208404948158543283010577469726285700097224793653438671997863877558379383354178821 (124 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3757566776 Step 1 took 9092ms Step 2 took 7758ms ******** Factor found in step 2: 13112396406681475789050569051437 Found probable prime factor of 32 digits: 13112396406681475789050569051437

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300 / 2318		Serge Batalov	December 10, 2014 19:48:51 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 51 秒 (日本時間)

154×10¹⁴⁶-19

c123

name 名前	Dmitry Domanov
date 日付	December 15, 2014 09:12:49 UTC 2014 年 12 月 15 日 (月) 18 時 12 分 49 秒 (日本時間)
composite number 合成数	134633889947405896227007426099097307698811946062846556479706748453030415847789433038568932713184388478751447120627025542603<123>
prime factors 素因数	111745464147506422644793053749630234945371628051594524139903<60> 1204826441721932067871229092969408259604059873182441879952830901<64>
factorization results 素因数分解の結果	N=134633889947405896227007426099097307698811946062846556479706748453030415847789433038568932713184388478751447120627025542603 ( 123 digits) SNFS difficulty: 148 digits. Divisors found: r1=111745464147506422644793053749630234945371628051594524139903 (pp60) r2=1204826441721932067871229092969408259604059873182441879952830901 (pp64) Version: Msieve v. 1.50 (SVN unknown) Total time: 8.12 hours. Scaled time: 0.00 units (timescale=0.000). Factorization parameters were as follows: n: 134633889947405896227007426099097307698811946062846556479706748453030415847789433038568932713184388478751447120627025542603 m: 100000000000000000000000000000 deg: 5 c5: 1540 c0: -1 skew: 0.23 # Murphy_E = 1.645e-09 type: snfs lss: 1 rlim: 2100000 alim: 2100000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.3 alambda: 2.3 Factor base limits: 2100000/2100000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved rational special-q in [1050000, 2450001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 365691 x 365916 Total sieving time: 7.88 hours. Total relation processing time: 0.05 hours. Matrix solve time: 0.12 hours. Time per square root: 0.06 hours. Prototype def-par.txt line would be: snfs,148.000,5,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000 total time: 8.12 hours.

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300 / 2318		Serge Batalov	December 10, 2014 19:48:51 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 51 秒 (日本時間)

154×10¹⁵⁰-19

c152

name 名前	Erik Branger
date 日付	December 8, 2014 20:26:48 UTC 2014 年 12 月 9 日 (火) 5 時 26 分 48 秒 (日本時間)
composite number 合成数	17111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<152>
prime factors 素因数	7893162166103485341379687440858621784175670383034509<52> 2167839802480344918469645239597176722178967028378345104593205475975141969062987297017036714922326179<100>
factorization results 素因数分解の結果	Number: 17111_150 N = 17111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 (152 digits) SNFS difficulty: 153 digits. Divisors found: r1=7893162166103485341379687440858621784175670383034509 (pp52) r2=2167839802480344918469645239597176722178967028378345104593205475975141969062987297017036714922326179 (pp100) Version: Msieve v. 1.51 (SVN Official Release) Total time: 4.52 hours. Factorization parameters were as follows: n: 17111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 m: 1000000000000000000000000000000 deg: 5 c5: 154 c0: -1 skew: 0.37 # Murphy_E = 1.45e-09 type: snfs lss: 1 rlim: 2400000 alim: 2400000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4 Factor base limits: 2400000/2400000 Large primes per side: 3 Large prime bits: 27/27 Sieved rational special-q in [0, 0) Total raw relations: 7955412 Relations: 618008 relations Pruned matrix : 359846 x 360071 Polynomial selection time: 0.00 hours. Total sieving time: 4.39 hours. Total relation processing time: 0.04 hours. Matrix solve time: 0.08 hours. time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,153,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,50,50,2.4,2.4,100000 total time: 4.52 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	2320		Serge Batalov	December 8, 2014 19:27:20 UTC 2014 年 12 月 9 日 (火) 4 時 27 分 20 秒 (日本時間)

154×10¹⁵²-19

c147

name 名前	Serge Batalov
date 日付	December 10, 2014 22:41:07 UTC 2014 年 12 月 11 日 (木) 7 時 41 分 7 秒 (日本時間)
composite number 合成数	708262167932547318696497749358988244733645364210252499602062441036599631492113845692945078730008667933168197869685372008494914838602918840376149759<147>
prime factors 素因数	1294366305768237390937611333283<31> 3538341291113398747128310571727818003<37> 154645442221756177328277530024715394357231453222000097375765354459014665680965591<81>
factorization results 素因数分解の結果	Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=765247126 Step 1 took 8504ms Step 2 took 6832ms ******** Factor found in step 2: 1294366305768237390937611333283 Found probable prime factor of 31 digits: 1294366305768237390937611333283 -- Input number is 708262167932547318696497749358988244733645364210252499602062441036599631492113845692945078730008667933168197869685372008494914838602918840376149759 (147 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2533925346 Step 1 took 8520ms Step 2 took 1637ms ******** Factor found in step 2: 3538341291113398747128310571727818003 Found probable prime factor of 37 digits: 3538341291113398747128310571727818003

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300 / 2318		Serge Batalov	December 10, 2014 19:48:51 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 51 秒 (日本時間)

154×10¹⁵³-19

c115

name 名前	Cyp
date 日付	December 20, 2014 01:23:00 UTC 2014 年 12 月 20 日 (土) 10 時 23 分 0 秒 (日本時間)
composite number 合成数	4050613824278109112150566929070512765127248429357887368413388339569994430444181038925016095135819749965856280237609<115>
prime factors 素因数	125738623293423179734506682694120127358731385602305333753<57> 32214555227200252412916876798250267030124222279680195307953<59>
factorization results 素因数分解の結果	12/19/14 22:30:49 v1.34.3, 12/19/14 22:30:49 v1.34.3, ************************** 12/19/14 22:30:49 v1.34.3, Starting factorization of 4050613824278109112150566929070512765127248429357887368413388339569994430444181038925016095135819749965856280237609 12/19/14 22:30:49 v1.34.3, using pretesting plan: none 12/19/14 22:30:49 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 12/19/14 22:30:49 v1.34.3, ************************** 12/19/14 22:30:49 v1.34.3, nfs: commencing nfs on c115: 4050613824278109112150566929070512765127248429357887368413388339569994430444181038925016095135819749965856280237609 12/19/14 22:30:49 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq 12/19/14 22:30:49 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/19/14 22:31:37 v1.34.3, nfs: commencing lattice sieving with 8 threads [149 lines snipped] 12/20/14 01:59:53 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/20/14 02:01:38 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/20/14 02:03:55 v1.34.3, nfs: commencing msieve filtering 12/20/14 02:08:38 v1.34.3, nfs: commencing msieve linear algebra 12/20/14 02:19:15 v1.34.3, nfs: commencing msieve sqrt 12/20/14 02:22:59 v1.34.3, prp59 = 32214555227200252412916876798250267030124222279680195307953 12/20/14 02:22:59 v1.34.3, prp57 = 125738623293423179734506682694120127358731385602305333753 12/20/14 02:22:59 v1.34.3, NFS elapsed time = 13930.2029 seconds. 12/20/14 02:22:59 v1.34.3, 12/20/14 02:22:59 v1.34.3, 12/20/14 02:22:59 v1.34.3, Total factoring time = 13930.2037 seconds -- Sat Dec 20 02:03:55 2014 Sat Dec 20 02:03:55 2014 commencing relation filtering Sat Dec 20 02:03:55 2014 estimated available RAM is 15987.3 MB Sat Dec 20 02:03:55 2014 commencing duplicate removal, pass 1 Sat Dec 20 02:05:11 2014 found 1645610 hash collisions in 10054132 relations Sat Dec 20 02:05:27 2014 added 356698 free relations Sat Dec 20 02:05:27 2014 commencing duplicate removal, pass 2 Sat Dec 20 02:05:42 2014 found 1314887 duplicates and 9095943 unique relations Sat Dec 20 02:05:42 2014 memory use: 41.3 MB Sat Dec 20 02:05:42 2014 reading ideals above 100000 Sat Dec 20 02:05:42 2014 commencing singleton removal, initial pass Sat Dec 20 02:07:30 2014 memory use: 188.2 MB Sat Dec 20 02:07:30 2014 reading all ideals from disk Sat Dec 20 02:07:31 2014 memory use: 306.6 MB Sat Dec 20 02:07:32 2014 keeping 9520568 ideals with weight <= 200, target excess is 46074 Sat Dec 20 02:07:34 2014 commencing in-memory singleton removal Sat Dec 20 02:07:35 2014 begin with 9095943 relations and 9520568 unique ideals Sat Dec 20 02:07:48 2014 reduce to 4157109 relations and 3412075 ideals in 14 passes Sat Dec 20 02:07:48 2014 max relations containing the same ideal: 119 Sat Dec 20 02:07:52 2014 removing 1195027 relations and 849233 ideals in 345794 cliques Sat Dec 20 02:07:53 2014 commencing in-memory singleton removal Sat Dec 20 02:07:53 2014 begin with 2962082 relations and 3412075 unique ideals Sat Dec 20 02:07:57 2014 reduce to 2727950 relations and 2304265 ideals in 9 passes Sat Dec 20 02:07:57 2014 max relations containing the same ideal: 90 Sat Dec 20 02:08:00 2014 removing 997052 relations and 651258 ideals in 345794 cliques Sat Dec 20 02:08:00 2014 commencing in-memory singleton removal Sat Dec 20 02:08:00 2014 begin with 1730898 relations and 2304265 unique ideals Sat Dec 20 02:08:03 2014 reduce to 1525782 relations and 1421241 ideals in 10 passes Sat Dec 20 02:08:03 2014 max relations containing the same ideal: 59 Sat Dec 20 02:08:04 2014 removing 213867 relations and 162772 ideals in 51095 cliques Sat Dec 20 02:08:04 2014 commencing in-memory singleton removal Sat Dec 20 02:08:04 2014 begin with 1311915 relations and 1421241 unique ideals Sat Dec 20 02:08:05 2014 reduce to 1289424 relations and 1235160 ideals in 6 passes Sat Dec 20 02:08:05 2014 max relations containing the same ideal: 54 Sat Dec 20 02:08:07 2014 relations with 0 large ideals: 1054 Sat Dec 20 02:08:07 2014 relations with 1 large ideals: 747 Sat Dec 20 02:08:07 2014 relations with 2 large ideals: 10583 Sat Dec 20 02:08:07 2014 relations with 3 large ideals: 65154 Sat Dec 20 02:08:07 2014 relations with 4 large ideals: 202100 Sat Dec 20 02:08:07 2014 relations with 5 large ideals: 350845 Sat Dec 20 02:08:07 2014 relations with 6 large ideals: 364778 Sat Dec 20 02:08:07 2014 relations with 7+ large ideals: 294163 Sat Dec 20 02:08:07 2014 commencing 2-way merge Sat Dec 20 02:08:08 2014 reduce to 810275 relation sets and 756011 unique ideals Sat Dec 20 02:08:08 2014 commencing full merge Sat Dec 20 02:08:28 2014 memory use: 96.9 MB Sat Dec 20 02:08:28 2014 found 419960 cycles, need 412211 Sat Dec 20 02:08:28 2014 weight of 412211 cycles is about 29035209 (70.44/cycle) Sat Dec 20 02:08:28 2014 distribution of cycle lengths: Sat Dec 20 02:08:28 2014 1 relations: 28866 Sat Dec 20 02:08:28 2014 2 relations: 39029 Sat Dec 20 02:08:28 2014 3 relations: 44222 Sat Dec 20 02:08:28 2014 4 relations: 44309 Sat Dec 20 02:08:28 2014 5 relations: 43199 Sat Dec 20 02:08:28 2014 6 relations: 39816 Sat Dec 20 02:08:28 2014 7 relations: 36145 Sat Dec 20 02:08:28 2014 8 relations: 30983 Sat Dec 20 02:08:28 2014 9 relations: 25829 Sat Dec 20 02:08:28 2014 10+ relations: 79813 Sat Dec 20 02:08:28 2014 heaviest cycle: 20 relations Sat Dec 20 02:08:29 2014 commencing cycle optimization Sat Dec 20 02:08:30 2014 start with 2574240 relations Sat Dec 20 02:08:37 2014 pruned 77942 relations Sat Dec 20 02:08:37 2014 memory use: 79.5 MB Sat Dec 20 02:08:37 2014 distribution of cycle lengths: Sat Dec 20 02:08:37 2014 1 relations: 28866 Sat Dec 20 02:08:37 2014 2 relations: 39880 Sat Dec 20 02:08:37 2014 3 relations: 45867 Sat Dec 20 02:08:37 2014 4 relations: 45772 Sat Dec 20 02:08:37 2014 5 relations: 44774 Sat Dec 20 02:08:37 2014 6 relations: 41127 Sat Dec 20 02:08:37 2014 7 relations: 37107 Sat Dec 20 02:08:37 2014 8 relations: 31553 Sat Dec 20 02:08:37 2014 9 relations: 25784 Sat Dec 20 02:08:37 2014 10+ relations: 71481 Sat Dec 20 02:08:37 2014 heaviest cycle: 19 relations Sat Dec 20 02:08:38 2014 RelProcTime: 283 Sat Dec 20 02:08:38 2014 Sat Dec 20 02:08:38 2014 commencing linear algebra Sat Dec 20 02:08:38 2014 read 412211 cycles Sat Dec 20 02:08:39 2014 cycles contain 1253591 unique relations Sat Dec 20 02:08:58 2014 read 1253591 relations Sat Dec 20 02:08:59 2014 using 20 quadratic characters above 134215058 Sat Dec 20 02:09:04 2014 building initial matrix Sat Dec 20 02:09:12 2014 memory use: 153.9 MB Sat Dec 20 02:09:12 2014 read 412211 cycles Sat Dec 20 02:09:12 2014 matrix is 412034 x 412211 (123.1 MB) with weight 36814245 (89.31/col) Sat Dec 20 02:09:12 2014 sparse part has weight 27730498 (67.27/col) Sat Dec 20 02:09:14 2014 filtering completed in 2 passes Sat Dec 20 02:09:14 2014 matrix is 411935 x 412112 (123.1 MB) with weight 36810827 (89.32/col) Sat Dec 20 02:09:14 2014 sparse part has weight 27729279 (67.29/col) Sat Dec 20 02:09:15 2014 matrix starts at (0, 0) Sat Dec 20 02:09:15 2014 matrix is 411935 x 412112 (123.1 MB) with weight 36810827 (89.32/col) Sat Dec 20 02:09:15 2014 sparse part has weight 27729279 (67.29/col) Sat Dec 20 02:09:15 2014 saving the first 48 matrix rows for later Sat Dec 20 02:09:15 2014 matrix includes 64 packed rows Sat Dec 20 02:09:15 2014 matrix is 411887 x 412112 (116.3 MB) with weight 29124449 (70.67/col) Sat Dec 20 02:09:15 2014 sparse part has weight 26372100 (63.99/col) Sat Dec 20 02:09:15 2014 using block size 65536 for processor cache size 8192 kB Sat Dec 20 02:09:16 2014 commencing Lanczos iteration (8 threads) Sat Dec 20 02:09:16 2014 memory use: 111.6 MB Sat Dec 20 02:09:25 2014 linear algebra at 2.9%, ETA 0h 4m Sat Dec 20 02:19:14 2014 lanczos halted after 6515 iterations (dim = 411882) Sat Dec 20 02:19:15 2014 recovered 36 nontrivial dependencies Sat Dec 20 02:19:15 2014 BLanczosTime: 637 Sat Dec 20 02:19:15 2014 Sat Dec 20 02:19:15 2014 commencing square root phase Sat Dec 20 02:19:15 2014 reading relations for dependency 1 Sat Dec 20 02:19:15 2014 read 206360 cycles Sat Dec 20 02:19:15 2014 cycles contain 626364 unique relations Sat Dec 20 02:19:28 2014 read 626364 relations Sat Dec 20 02:19:30 2014 multiplying 626364 relations Sat Dec 20 02:20:00 2014 multiply complete, coefficients have about 22.55 million bits Sat Dec 20 02:20:00 2014 initial square root is modulo 2990371 Sat Dec 20 02:20:49 2014 GCD is 1, no factor found Sat Dec 20 02:20:49 2014 reading relations for dependency 2 Sat Dec 20 02:20:49 2014 read 205830 cycles Sat Dec 20 02:20:49 2014 cycles contain 626124 unique relations Sat Dec 20 02:21:11 2014 read 626124 relations Sat Dec 20 02:21:15 2014 multiplying 626124 relations Sat Dec 20 02:22:01 2014 multiply complete, coefficients have about 22.54 million bits Sat Dec 20 02:22:01 2014 initial square root is modulo 2975741 Sat Dec 20 02:22:59 2014 sqrtTime: 224 -- n: 4050613824278109112150566929070512765127248429357887368413388339569994430444181038925016095135819749965856280237609 m: 1000000000000000000000000000000 deg: 5 c5: 154000 c0: -1 skew: 0.09 # Murphy_E = 7.959e-10 type: snfs lss: 1 rlim: 2700000 alim: 2700000 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	580 / 2318	280	Pierre Jammes	December 10, 2014 16:53:08 UTC 2014 年 12 月 11 日 (木) 1 時 53 分 8 秒 (日本時間)
40	3e6	580 / 2318	300	Serge Batalov	December 10, 2014 19:48:52 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 52 秒 (日本時間)

154×10¹⁵⁵-19

c128

name 名前	Cyp
date 日付	December 18, 2014 23:22:34 UTC 2014 年 12 月 19 日 (金) 8 時 22 分 34 秒 (日本時間)
composite number 合成数	22525008151005452669632949415256459088551572113317747710730341277549057439822580042774037186221179153547332926154817907442480387<128>
prime factors 素因数	14466522924739147352497695308132135196905654264591083<53> 1557043684110541831316382228767768369753663082631158273414273587832481878089<76>
factorization results 素因数分解の結果	12/18/14 22:14:34 v1.34.3, 12/18/14 22:14:34 v1.34.3, ************************** 12/18/14 22:14:34 v1.34.3, Starting factorization of 22525008151005452669632949415256459088551572113317747710730341277549057439822580042774037186221179153547332926154817907442480387 12/18/14 22:14:34 v1.34.3, using pretesting plan: none 12/18/14 22:14:34 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 12/18/14 22:14:34 v1.34.3, ************************** 12/18/14 22:14:34 v1.34.3, nfs: commencing nfs on c128: 22525008151005452669632949415256459088551572113317747710730341277549057439822580042774037186221179153547332926154817907442480387 12/18/14 22:14:34 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq 12/18/14 22:14:34 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/18/14 22:15:32 v1.34.3, nfs: commencing lattice sieving with 8 threads [116 lines snipped] 12/19/14 00:14:01 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/19/14 00:15:03 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/19/14 00:16:03 v1.34.3, nfs: commencing msieve filtering 12/19/14 00:17:43 v1.34.3, nfs: commencing msieve linear algebra 12/19/14 00:22:01 v1.34.3, nfs: commencing msieve sqrt 12/19/14 00:22:33 v1.34.3, prp76 = 1557043684110541831316382228767768369753663082631158273414273587832481878089 12/19/14 00:22:33 v1.34.3, prp53 = 14466522924739147352497695308132135196905654264591083 12/19/14 00:22:33 v1.34.3, NFS elapsed time = 7678.3121 seconds. 12/19/14 00:22:33 v1.34.3, 12/19/14 00:22:33 v1.34.3, 12/19/14 00:22:33 v1.34.3, Total factoring time = 7678.3126 seconds -- Fri Dec 19 00:16:03 2014 Fri Dec 19 00:16:03 2014 commencing relation filtering Fri Dec 19 00:16:03 2014 estimated available RAM is 15987.3 MB Fri Dec 19 00:16:03 2014 commencing duplicate removal, pass 1 Fri Dec 19 00:16:30 2014 found 1547820 hash collisions in 10058232 relations Fri Dec 19 00:16:38 2014 added 355657 free relations Fri Dec 19 00:16:38 2014 commencing duplicate removal, pass 2 Fri Dec 19 00:16:45 2014 found 1177909 duplicates and 9235980 unique relations Fri Dec 19 00:16:45 2014 memory use: 41.3 MB Fri Dec 19 00:16:45 2014 reading ideals above 100000 Fri Dec 19 00:16:45 2014 commencing singleton removal, initial pass Fri Dec 19 00:17:24 2014 memory use: 188.2 MB Fri Dec 19 00:17:24 2014 reading all ideals from disk Fri Dec 19 00:17:24 2014 memory use: 311.8 MB Fri Dec 19 00:17:24 2014 keeping 9580733 ideals with weight <= 200, target excess is 46483 Fri Dec 19 00:17:25 2014 commencing in-memory singleton removal Fri Dec 19 00:17:25 2014 begin with 9235980 relations and 9580733 unique ideals Fri Dec 19 00:17:27 2014 reduce to 4308080 relations and 3502080 ideals in 12 passes Fri Dec 19 00:17:27 2014 max relations containing the same ideal: 122 Fri Dec 19 00:17:28 2014 removing 1261871 relations and 885831 ideals in 376040 cliques Fri Dec 19 00:17:29 2014 commencing in-memory singleton removal Fri Dec 19 00:17:29 2014 begin with 3046209 relations and 3502080 unique ideals Fri Dec 19 00:17:30 2014 reduce to 2801395 relations and 2345075 ideals in 9 passes Fri Dec 19 00:17:30 2014 max relations containing the same ideal: 90 Fri Dec 19 00:17:30 2014 removing 1058949 relations and 682909 ideals in 376040 cliques Fri Dec 19 00:17:30 2014 commencing in-memory singleton removal Fri Dec 19 00:17:31 2014 begin with 1742446 relations and 2345075 unique ideals Fri Dec 19 00:17:31 2014 reduce to 1523797 relations and 1413854 ideals in 9 passes Fri Dec 19 00:17:31 2014 max relations containing the same ideal: 61 Fri Dec 19 00:17:31 2014 removing 228886 relations and 172864 ideals in 56022 cliques Fri Dec 19 00:17:31 2014 commencing in-memory singleton removal Fri Dec 19 00:17:31 2014 begin with 1294911 relations and 1413854 unique ideals Fri Dec 19 00:17:32 2014 reduce to 1267222 relations and 1212253 ideals in 8 passes Fri Dec 19 00:17:32 2014 max relations containing the same ideal: 53 Fri Dec 19 00:17:32 2014 relations with 0 large ideals: 1068 Fri Dec 19 00:17:32 2014 relations with 1 large ideals: 707 Fri Dec 19 00:17:32 2014 relations with 2 large ideals: 10530 Fri Dec 19 00:17:32 2014 relations with 3 large ideals: 64619 Fri Dec 19 00:17:32 2014 relations with 4 large ideals: 198872 Fri Dec 19 00:17:32 2014 relations with 5 large ideals: 344585 Fri Dec 19 00:17:32 2014 relations with 6 large ideals: 359478 Fri Dec 19 00:17:32 2014 relations with 7+ large ideals: 287363 Fri Dec 19 00:17:32 2014 commencing 2-way merge Fri Dec 19 00:17:32 2014 reduce to 795371 relation sets and 740402 unique ideals Fri Dec 19 00:17:32 2014 commencing full merge Fri Dec 19 00:17:40 2014 memory use: 95.6 MB Fri Dec 19 00:17:40 2014 found 408544 cycles, need 400602 Fri Dec 19 00:17:40 2014 weight of 400602 cycles is about 28354644 (70.78/cycle) Fri Dec 19 00:17:40 2014 distribution of cycle lengths: Fri Dec 19 00:17:40 2014 1 relations: 28126 Fri Dec 19 00:17:40 2014 2 relations: 37864 Fri Dec 19 00:17:40 2014 3 relations: 42172 Fri Dec 19 00:17:40 2014 4 relations: 41864 Fri Dec 19 00:17:40 2014 5 relations: 41141 Fri Dec 19 00:17:40 2014 6 relations: 38158 Fri Dec 19 00:17:40 2014 7 relations: 34419 Fri Dec 19 00:17:40 2014 8 relations: 29798 Fri Dec 19 00:17:40 2014 9 relations: 25270 Fri Dec 19 00:17:40 2014 10+ relations: 81790 Fri Dec 19 00:17:40 2014 heaviest cycle: 20 relations Fri Dec 19 00:17:40 2014 commencing cycle optimization Fri Dec 19 00:17:40 2014 start with 2542504 relations Fri Dec 19 00:17:43 2014 pruned 80076 relations Fri Dec 19 00:17:43 2014 memory use: 78.1 MB Fri Dec 19 00:17:43 2014 distribution of cycle lengths: Fri Dec 19 00:17:43 2014 1 relations: 28126 Fri Dec 19 00:17:43 2014 2 relations: 38685 Fri Dec 19 00:17:43 2014 3 relations: 43735 Fri Dec 19 00:17:43 2014 4 relations: 43294 Fri Dec 19 00:17:43 2014 5 relations: 42832 Fri Dec 19 00:17:43 2014 6 relations: 39289 Fri Dec 19 00:17:43 2014 7 relations: 35458 Fri Dec 19 00:17:43 2014 8 relations: 30421 Fri Dec 19 00:17:43 2014 9 relations: 25438 Fri Dec 19 00:17:43 2014 10+ relations: 73324 Fri Dec 19 00:17:43 2014 heaviest cycle: 20 relations Fri Dec 19 00:17:43 2014 RelProcTime: 100 Fri Dec 19 00:17:43 2014 Fri Dec 19 00:17:43 2014 commencing linear algebra Fri Dec 19 00:17:43 2014 read 400602 cycles Fri Dec 19 00:17:43 2014 cycles contain 1229510 unique relations Fri Dec 19 00:17:52 2014 read 1229510 relations Fri Dec 19 00:17:53 2014 using 20 quadratic characters above 134216168 Fri Dec 19 00:17:56 2014 building initial matrix Fri Dec 19 00:18:03 2014 memory use: 152.8 MB Fri Dec 19 00:18:03 2014 read 400602 cycles Fri Dec 19 00:18:03 2014 matrix is 400423 x 400602 (119.9 MB) with weight 36516387 (91.15/col) Fri Dec 19 00:18:03 2014 sparse part has weight 27037469 (67.49/col) Fri Dec 19 00:18:05 2014 filtering completed in 2 passes Fri Dec 19 00:18:05 2014 matrix is 400321 x 400500 (119.9 MB) with weight 36512272 (91.17/col) Fri Dec 19 00:18:05 2014 sparse part has weight 27035670 (67.50/col) Fri Dec 19 00:18:05 2014 matrix starts at (0, 0) Fri Dec 19 00:18:05 2014 matrix is 400321 x 400500 (119.9 MB) with weight 36512272 (91.17/col) Fri Dec 19 00:18:05 2014 sparse part has weight 27035670 (67.50/col) Fri Dec 19 00:18:05 2014 saving the first 48 matrix rows for later Fri Dec 19 00:18:05 2014 matrix includes 64 packed rows Fri Dec 19 00:18:05 2014 matrix is 400273 x 400500 (114.0 MB) with weight 28818620 (71.96/col) Fri Dec 19 00:18:05 2014 sparse part has weight 25870382 (64.60/col) Fri Dec 19 00:18:05 2014 using block size 65536 for processor cache size 8192 kB Fri Dec 19 00:18:06 2014 commencing Lanczos iteration (8 threads) Fri Dec 19 00:18:06 2014 memory use: 109.4 MB Fri Dec 19 00:18:13 2014 linear algebra at 3.0%, ETA 0h 3m Fri Dec 19 00:22:00 2014 lanczos halted after 6330 iterations (dim = 400267) Fri Dec 19 00:22:01 2014 recovered 33 nontrivial dependencies Fri Dec 19 00:22:01 2014 BLanczosTime: 258 Fri Dec 19 00:22:01 2014 Fri Dec 19 00:22:01 2014 commencing square root phase Fri Dec 19 00:22:01 2014 reading relations for dependency 1 Fri Dec 19 00:22:01 2014 read 200667 cycles Fri Dec 19 00:22:01 2014 cycles contain 615352 unique relations Fri Dec 19 00:22:08 2014 read 615352 relations Fri Dec 19 00:22:09 2014 multiplying 615352 relations Fri Dec 19 00:22:19 2014 multiply complete, coefficients have about 16.62 million bits Fri Dec 19 00:22:19 2014 initial square root is modulo 59611 Fri Dec 19 00:22:33 2014 sqrtTime: 32 -- n: 22525008151005452669632949415256459088551572113317747710730341277549057439822580042774037186221179153547332926154817907442480387 m: 10000000000000000000000000000000 deg: 5 c5: 154 c0: -1 skew: 0.37 # Murphy_E = 9.329e-10 type: snfs lss: 1 rlim: 2900000 alim: 2900000 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300 / 2318		Serge Batalov	December 10, 2014 19:48:52 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 52 秒 (日本時間)

154×10¹⁵⁷-19

c151

name 名前	Cyp
date 日付	December 15, 2014 04:36:02 UTC 2014 年 12 月 15 日 (月) 13 時 36 分 2 秒 (日本時間)
composite number 合成数	1456450544131200046010218436211188154791378463831051464505614099996832030917093324159662059288456742232399558155652679811263340551454942692231826293547<151>
prime factors 素因数	8167178934038349320544691496307872301409212747581581<52> 178329696936251944654623189785579547587106080666085877283491609889133669801208104622361523029416087<99>
factorization results 素因数分解の結果	12/15/14 02:09:53 v1.34.3, 12/15/14 02:09:53 v1.34.3, ************************** 12/15/14 02:09:53 v1.34.3, Starting factorization of 1456450544131200046010218436211188154791378463831051464505614099996832030917093324159662059288456742232399558155652679811263340551454942692231826293547 12/15/14 02:09:53 v1.34.3, using pretesting plan: none 12/15/14 02:09:53 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 12/15/14 02:09:53 v1.34.3, ************************** 12/15/14 02:09:53 v1.34.3, nfs: commencing nfs on c151: 1456450544131200046010218436211188154791378463831051464505614099996832030917093324159662059288456742232399558155652679811263340551454942692231826293547 12/15/14 02:09:53 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq 12/15/14 02:09:53 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/15/14 02:14:03 v1.34.3, nfs: commencing lattice sieving with 8 threads [43 lines snipped] 12/15/14 05:19:35 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/15/14 05:23:49 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/15/14 05:28:05 v1.34.3, nfs: commencing msieve filtering 12/15/14 05:29:51 v1.34.3, nfs: commencing msieve linear algebra 12/15/14 05:35:19 v1.34.3, nfs: commencing msieve sqrt 12/15/14 05:36:01 v1.34.3, prp99 = 178329696936251944654623189785579547587106080666085877283491609889133669801208104622361523029416087 12/15/14 05:36:01 v1.34.3, prp52 = 8167178934038349320544691496307872301409212747581581 12/15/14 05:36:01 v1.34.3, NFS elapsed time = 12367.9047 seconds. 12/15/14 05:36:01 v1.34.3, 12/15/14 05:36:01 v1.34.3, 12/15/14 05:36:01 v1.34.3, Total factoring time = 12367.9060 seconds -- Mon Dec 15 05:28:05 2014 Mon Dec 15 05:28:05 2014 commencing relation filtering Mon Dec 15 05:28:05 2014 estimated available RAM is 15987.3 MB Mon Dec 15 05:28:05 2014 commencing duplicate removal, pass 1 Mon Dec 15 05:28:32 2014 found 1425603 hash collisions in 10136236 relations Mon Dec 15 05:28:41 2014 added 357831 free relations Mon Dec 15 05:28:41 2014 commencing duplicate removal, pass 2 Mon Dec 15 05:28:49 2014 found 996418 duplicates and 9497649 unique relations Mon Dec 15 05:28:49 2014 memory use: 41.3 MB Mon Dec 15 05:28:49 2014 reading ideals above 100000 Mon Dec 15 05:28:49 2014 commencing singleton removal, initial pass Mon Dec 15 05:29:30 2014 memory use: 188.2 MB Mon Dec 15 05:29:30 2014 reading all ideals from disk Mon Dec 15 05:29:30 2014 memory use: 333.0 MB Mon Dec 15 05:29:30 2014 keeping 9759692 ideals with weight <= 200, target excess is 51054 Mon Dec 15 05:29:31 2014 commencing in-memory singleton removal Mon Dec 15 05:29:31 2014 begin with 9497649 relations and 9759692 unique ideals Mon Dec 15 05:29:34 2014 reduce to 4574912 relations and 3728380 ideals in 12 passes Mon Dec 15 05:29:34 2014 max relations containing the same ideal: 125 Mon Dec 15 05:29:35 2014 removing 1303735 relations and 910080 ideals in 393655 cliques Mon Dec 15 05:29:35 2014 commencing in-memory singleton removal Mon Dec 15 05:29:35 2014 begin with 3271177 relations and 3728380 unique ideals Mon Dec 15 05:29:36 2014 reduce to 3023830 relations and 2545324 ideals in 9 passes Mon Dec 15 05:29:36 2014 max relations containing the same ideal: 92 Mon Dec 15 05:29:37 2014 removing 1104621 relations and 710966 ideals in 393655 cliques Mon Dec 15 05:29:37 2014 commencing in-memory singleton removal Mon Dec 15 05:29:37 2014 begin with 1919209 relations and 2545324 unique ideals Mon Dec 15 05:29:38 2014 reduce to 1688632 relations and 1574093 ideals in 9 passes Mon Dec 15 05:29:38 2014 max relations containing the same ideal: 64 Mon Dec 15 05:29:38 2014 removing 234708 relations and 179392 ideals in 55316 cliques Mon Dec 15 05:29:38 2014 commencing in-memory singleton removal Mon Dec 15 05:29:38 2014 begin with 1453924 relations and 1574093 unique ideals Mon Dec 15 05:29:39 2014 reduce to 1426096 relations and 1365897 ideals in 8 passes Mon Dec 15 05:29:39 2014 max relations containing the same ideal: 56 Mon Dec 15 05:29:39 2014 relations with 0 large ideals: 1126 Mon Dec 15 05:29:39 2014 relations with 1 large ideals: 497 Mon Dec 15 05:29:39 2014 relations with 2 large ideals: 7864 Mon Dec 15 05:29:39 2014 relations with 3 large ideals: 53982 Mon Dec 15 05:29:39 2014 relations with 4 large ideals: 185039 Mon Dec 15 05:29:39 2014 relations with 5 large ideals: 354735 Mon Dec 15 05:29:39 2014 relations with 6 large ideals: 415105 Mon Dec 15 05:29:39 2014 relations with 7+ large ideals: 407748 Mon Dec 15 05:29:39 2014 commencing 2-way merge Mon Dec 15 05:29:40 2014 reduce to 887318 relation sets and 827119 unique ideals Mon Dec 15 05:29:40 2014 commencing full merge Mon Dec 15 05:29:48 2014 memory use: 107.9 MB Mon Dec 15 05:29:48 2014 found 458003 cycles, need 449319 Mon Dec 15 05:29:48 2014 weight of 449319 cycles is about 31605434 (70.34/cycle) Mon Dec 15 05:29:48 2014 distribution of cycle lengths: Mon Dec 15 05:29:48 2014 1 relations: 39898 Mon Dec 15 05:29:48 2014 2 relations: 44076 Mon Dec 15 05:29:48 2014 3 relations: 47956 Mon Dec 15 05:29:48 2014 4 relations: 47681 Mon Dec 15 05:29:48 2014 5 relations: 46422 Mon Dec 15 05:29:48 2014 6 relations: 43101 Mon Dec 15 05:29:48 2014 7 relations: 38488 Mon Dec 15 05:29:48 2014 8 relations: 32772 Mon Dec 15 05:29:48 2014 9 relations: 27455 Mon Dec 15 05:29:48 2014 10+ relations: 81470 Mon Dec 15 05:29:48 2014 heaviest cycle: 19 relations Mon Dec 15 05:29:48 2014 commencing cycle optimization Mon Dec 15 05:29:48 2014 start with 2716926 relations Mon Dec 15 05:29:50 2014 pruned 82361 relations Mon Dec 15 05:29:50 2014 memory use: 86.0 MB Mon Dec 15 05:29:50 2014 distribution of cycle lengths: Mon Dec 15 05:29:50 2014 1 relations: 39898 Mon Dec 15 05:29:50 2014 2 relations: 45017 Mon Dec 15 05:29:50 2014 3 relations: 49724 Mon Dec 15 05:29:50 2014 4 relations: 49263 Mon Dec 15 05:29:50 2014 5 relations: 48137 Mon Dec 15 05:29:50 2014 6 relations: 44519 Mon Dec 15 05:29:50 2014 7 relations: 39688 Mon Dec 15 05:29:50 2014 8 relations: 33180 Mon Dec 15 05:29:50 2014 9 relations: 27427 Mon Dec 15 05:29:50 2014 10+ relations: 72466 Mon Dec 15 05:29:50 2014 heaviest cycle: 19 relations Mon Dec 15 05:29:51 2014 RelProcTime: 106 Mon Dec 15 05:29:51 2014 Mon Dec 15 05:29:51 2014 commencing linear algebra Mon Dec 15 05:29:51 2014 read 449319 cycles Mon Dec 15 05:29:51 2014 cycles contain 1384654 unique relations Mon Dec 15 05:30:01 2014 read 1384654 relations Mon Dec 15 05:30:02 2014 using 20 quadratic characters above 134216228 Mon Dec 15 05:30:06 2014 building initial matrix Mon Dec 15 05:30:13 2014 memory use: 171.3 MB Mon Dec 15 05:30:13 2014 read 449319 cycles Mon Dec 15 05:30:13 2014 matrix is 449141 x 449319 (133.9 MB) with weight 39701164 (88.36/col) Mon Dec 15 05:30:13 2014 sparse part has weight 30163496 (67.13/col) Mon Dec 15 05:30:15 2014 filtering completed in 2 passes Mon Dec 15 05:30:15 2014 matrix is 449022 x 449200 (133.9 MB) with weight 39696186 (88.37/col) Mon Dec 15 05:30:15 2014 sparse part has weight 30161092 (67.14/col) Mon Dec 15 05:30:15 2014 matrix starts at (0, 0) Mon Dec 15 05:30:15 2014 matrix is 449022 x 449200 (133.9 MB) with weight 39696186 (88.37/col) Mon Dec 15 05:30:15 2014 sparse part has weight 30161092 (67.14/col) Mon Dec 15 05:30:15 2014 saving the first 48 matrix rows for later Mon Dec 15 05:30:15 2014 matrix includes 64 packed rows Mon Dec 15 05:30:16 2014 matrix is 448974 x 449200 (126.2 MB) with weight 31359454 (69.81/col) Mon Dec 15 05:30:16 2014 sparse part has weight 28596857 (63.66/col) Mon Dec 15 05:30:16 2014 using block size 65536 for processor cache size 8192 kB Mon Dec 15 05:30:16 2014 commencing Lanczos iteration (8 threads) Mon Dec 15 05:30:16 2014 memory use: 122.4 MB Mon Dec 15 05:30:25 2014 linear algebra at 2.7%, ETA 0h 5m Mon Dec 15 05:35:19 2014 lanczos halted after 7102 iterations (dim = 448970) Mon Dec 15 05:35:19 2014 recovered 35 nontrivial dependencies Mon Dec 15 05:35:19 2014 BLanczosTime: 328 Mon Dec 15 05:35:19 2014 Mon Dec 15 05:35:19 2014 commencing square root phase Mon Dec 15 05:35:19 2014 reading relations for dependency 1 Mon Dec 15 05:35:19 2014 read 224811 cycles Mon Dec 15 05:35:20 2014 cycles contain 691764 unique relations Mon Dec 15 05:35:27 2014 read 691764 relations Mon Dec 15 05:35:29 2014 multiplying 691764 relations Mon Dec 15 05:35:42 2014 multiply complete, coefficients have about 23.45 million bits Mon Dec 15 05:35:42 2014 initial square root is modulo 5425831 Mon Dec 15 05:36:01 2014 sqrtTime: 42 -- n: 1456450544131200046010218436211188154791378463831051464505614099996832030917093324159662059288456742232399558155652679811263340551454942692231826293547 m: 10000000000000000000000000000000 deg: 5 c5: 15400 c0: -1 skew: 0.15 # Murphy_E = 5.297e-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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300 / 2318		Serge Batalov	December 10, 2014 19:48:53 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 53 秒 (日本時間)

154×10¹⁵⁸-19

c112

name 名前	Cyp
date 日付	December 11, 2014 12:03:10 UTC 2014 年 12 月 11 日 (木) 21 時 3 分 10 秒 (日本時間)
composite number 合成数	1533407567602652776757009174923785548588095967883445587249506625218900397408667329344721648859530713762661998369<112>
prime factors 素因数	17397560323621787507887975498300895345887679<44> 88139229816070625657373619531296079143309359993833795092096362254111<68>
factorization results 素因数分解の結果	12/11/14 11:12:57 v1.34.3, 12/11/14 11:12:57 v1.34.3, ************************** 12/11/14 11:12:57 v1.34.3, Starting factorization of 1533407567602652776757009174923785548588095967883445587249506625218900397408667329344721648859530713762661998369 12/11/14 11:12:57 v1.34.3, using pretesting plan: none 12/11/14 11:12:57 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 12/11/14 11:12:57 v1.34.3, ************************** 12/11/14 11:12:57 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C112 12/11/14 11:12:57 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C112 12/11/14 11:12:57 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C112 12/11/14 11:12:57 v1.34.3, final ECM pretested depth: 0.00 12/11/14 11:12:57 v1.34.3, scheduler: switching to sieve method 12/11/14 11:12:57 v1.34.3, nfs: commencing nfs on c112: 1533407567602652776757009174923785548588095967883445587249506625218900397408667329344721648859530713762661998369 12/11/14 11:12:57 v1.34.3, nfs: commencing poly selection with 8 threads 12/11/14 11:12:57 v1.34.3, nfs: setting deadline of 575 seconds 12/11/14 11:22:34 v1.34.3, nfs: completed 151 ranges of size 250 in 576.3425 seconds 12/11/14 11:22:34 v1.34.3, nfs: best poly = # norm 1.389226e-10 alpha -6.459398 e 8.306e-10 rroots 5 12/11/14 11:22:34 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/11/14 11:27:28 v1.34.3, nfs: commencing lattice sieving with 8 threads [10 lines snipped] 12/11/14 12:25:57 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/11/14 12:31:25 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/11/14 12:36:51 v1.34.3, nfs: commencing msieve filtering 12/11/14 12:37:35 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/11/14 12:42:54 v1.34.3, nfs: commencing msieve filtering 12/11/14 12:43:42 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/11/14 12:49:07 v1.34.3, nfs: commencing msieve filtering 12/11/14 12:49:57 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/11/14 12:55:35 v1.34.3, nfs: commencing msieve filtering 12/11/14 12:56:41 v1.34.3, nfs: commencing msieve linear algebra 12/11/14 13:01:38 v1.34.3, nfs: commencing msieve sqrt 12/11/14 13:03:08 v1.34.3, prp68 = 88139229816070625657373619531296079143309359993833795092096362254111 12/11/14 13:03:08 v1.34.3, prp44 = 17397560323621787507887975498300895345887679 12/11/14 13:03:08 v1.34.3, NFS elapsed time = 6611.0866 seconds. 12/11/14 13:03:08 v1.34.3, 12/11/14 13:03:08 v1.34.3, 12/11/14 13:03:08 v1.34.3, Total factoring time = 6611.1086 seconds -- Thu Dec 11 12:36:51 2014 Thu Dec 11 12:36:51 2014 commencing relation filtering Thu Dec 11 12:36:51 2014 estimated available RAM is 15987.3 MB Thu Dec 11 12:36:51 2014 commencing duplicate removal, pass 1 Thu Dec 11 12:37:05 2014 found 444272 hash collisions in 4681782 relations Thu Dec 11 12:37:10 2014 added 32664 free relations Thu Dec 11 12:37:10 2014 commencing duplicate removal, pass 2 Thu Dec 11 12:37:13 2014 found 193818 duplicates and 4520628 unique relations Thu Dec 11 12:37:13 2014 memory use: 20.6 MB Thu Dec 11 12:37:13 2014 reading ideals above 100000 Thu Dec 11 12:37:13 2014 commencing singleton removal, initial pass Thu Dec 11 12:37:32 2014 memory use: 172.2 MB Thu Dec 11 12:37:32 2014 reading all ideals from disk Thu Dec 11 12:37:32 2014 memory use: 152.4 MB Thu Dec 11 12:37:33 2014 keeping 5459525 ideals with weight <= 200, target excess is 24561 Thu Dec 11 12:37:33 2014 commencing in-memory singleton removal Thu Dec 11 12:37:33 2014 begin with 4520628 relations and 5459525 unique ideals Thu Dec 11 12:37:35 2014 reduce to 769121 relations and 932029 ideals in 66 passes Thu Dec 11 12:37:35 2014 max relations containing the same ideal: 60 Thu Dec 11 12:42:54 2014 Thu Dec 11 12:42:54 2014 commencing relation filtering Thu Dec 11 12:42:54 2014 estimated available RAM is 15987.3 MB Thu Dec 11 12:42:54 2014 commencing duplicate removal, pass 1 Thu Dec 11 12:43:10 2014 found 506913 hash collisions in 5048201 relations Thu Dec 11 12:43:15 2014 added 66 free relations Thu Dec 11 12:43:15 2014 commencing duplicate removal, pass 2 Thu Dec 11 12:43:18 2014 found 220393 duplicates and 4827874 unique relations Thu Dec 11 12:43:18 2014 memory use: 20.6 MB Thu Dec 11 12:43:18 2014 reading ideals above 100000 Thu Dec 11 12:43:18 2014 commencing singleton removal, initial pass Thu Dec 11 12:43:39 2014 memory use: 172.2 MB Thu Dec 11 12:43:39 2014 reading all ideals from disk Thu Dec 11 12:43:39 2014 memory use: 162.8 MB Thu Dec 11 12:43:40 2014 keeping 5605622 ideals with weight <= 200, target excess is 25703 Thu Dec 11 12:43:40 2014 commencing in-memory singleton removal Thu Dec 11 12:43:40 2014 begin with 4827874 relations and 5605622 unique ideals Thu Dec 11 12:43:42 2014 reduce to 1328587 relations and 1422925 ideals in 28 passes Thu Dec 11 12:43:42 2014 max relations containing the same ideal: 81 Thu Dec 11 12:49:07 2014 Thu Dec 11 12:49:07 2014 commencing relation filtering Thu Dec 11 12:49:07 2014 estimated available RAM is 15987.3 MB Thu Dec 11 12:49:07 2014 commencing duplicate removal, pass 1 Thu Dec 11 12:49:23 2014 found 569308 hash collisions in 5386390 relations Thu Dec 11 12:49:28 2014 added 56 free relations Thu Dec 11 12:49:28 2014 commencing duplicate removal, pass 2 Thu Dec 11 12:49:32 2014 found 248603 duplicates and 5137843 unique relations Thu Dec 11 12:49:32 2014 memory use: 20.6 MB Thu Dec 11 12:49:32 2014 reading ideals above 100000 Thu Dec 11 12:49:32 2014 commencing singleton removal, initial pass Thu Dec 11 12:49:54 2014 memory use: 172.2 MB Thu Dec 11 12:49:54 2014 reading all ideals from disk Thu Dec 11 12:49:55 2014 memory use: 173.3 MB Thu Dec 11 12:49:55 2014 keeping 5742458 ideals with weight <= 200, target excess is 26996 Thu Dec 11 12:49:55 2014 commencing in-memory singleton removal Thu Dec 11 12:49:55 2014 begin with 5137843 relations and 5742458 unique ideals Thu Dec 11 12:49:57 2014 reduce to 1785946 relations and 1784474 ideals in 19 passes Thu Dec 11 12:49:57 2014 max relations containing the same ideal: 104 Thu Dec 11 12:55:35 2014 Thu Dec 11 12:55:35 2014 commencing relation filtering Thu Dec 11 12:55:35 2014 estimated available RAM is 15987.3 MB Thu Dec 11 12:55:35 2014 commencing duplicate removal, pass 1 Thu Dec 11 12:55:52 2014 found 635205 hash collisions in 5724859 relations Thu Dec 11 12:55:57 2014 added 29 free relations Thu Dec 11 12:55:57 2014 commencing duplicate removal, pass 2 Thu Dec 11 12:56:02 2014 found 278925 duplicates and 5445963 unique relations Thu Dec 11 12:56:02 2014 memory use: 20.6 MB Thu Dec 11 12:56:02 2014 reading ideals above 100000 Thu Dec 11 12:56:02 2014 commencing singleton removal, initial pass Thu Dec 11 12:56:25 2014 memory use: 172.2 MB Thu Dec 11 12:56:25 2014 reading all ideals from disk Thu Dec 11 12:56:25 2014 memory use: 183.8 MB Thu Dec 11 12:56:25 2014 keeping 5867913 ideals with weight <= 200, target excess is 28522 Thu Dec 11 12:56:25 2014 commencing in-memory singleton removal Thu Dec 11 12:56:25 2014 begin with 5445963 relations and 5867913 unique ideals Thu Dec 11 12:56:27 2014 reduce to 2222242 relations and 2104954 ideals in 17 passes Thu Dec 11 12:56:27 2014 max relations containing the same ideal: 109 Thu Dec 11 12:56:28 2014 removing 349793 relations and 307692 ideals in 42101 cliques Thu Dec 11 12:56:28 2014 commencing in-memory singleton removal Thu Dec 11 12:56:28 2014 begin with 1872449 relations and 2104954 unique ideals Thu Dec 11 12:56:28 2014 reduce to 1824916 relations and 1748512 ideals in 10 passes Thu Dec 11 12:56:28 2014 max relations containing the same ideal: 96 Thu Dec 11 12:56:29 2014 removing 263056 relations and 220955 ideals in 42101 cliques Thu Dec 11 12:56:29 2014 commencing in-memory singleton removal Thu Dec 11 12:56:29 2014 begin with 1561860 relations and 1748512 unique ideals Thu Dec 11 12:56:29 2014 reduce to 1528769 relations and 1493662 ideals in 10 passes Thu Dec 11 12:56:29 2014 max relations containing the same ideal: 86 Thu Dec 11 12:56:30 2014 relations with 0 large ideals: 90 Thu Dec 11 12:56:30 2014 relations with 1 large ideals: 184 Thu Dec 11 12:56:30 2014 relations with 2 large ideals: 2915 Thu Dec 11 12:56:30 2014 relations with 3 large ideals: 25499 Thu Dec 11 12:56:30 2014 relations with 4 large ideals: 116893 Thu Dec 11 12:56:30 2014 relations with 5 large ideals: 299925 Thu Dec 11 12:56:30 2014 relations with 6 large ideals: 450443 Thu Dec 11 12:56:30 2014 relations with 7+ large ideals: 632820 Thu Dec 11 12:56:30 2014 commencing 2-way merge Thu Dec 11 12:56:30 2014 reduce to 875748 relation sets and 840641 unique ideals Thu Dec 11 12:56:30 2014 commencing full merge Thu Dec 11 12:56:38 2014 memory use: 94.3 MB Thu Dec 11 12:56:38 2014 found 430218 cycles, need 424841 Thu Dec 11 12:56:38 2014 weight of 424841 cycles is about 29773459 (70.08/cycle) Thu Dec 11 12:56:38 2014 distribution of cycle lengths: Thu Dec 11 12:56:38 2014 1 relations: 47883 Thu Dec 11 12:56:38 2014 2 relations: 47489 Thu Dec 11 12:56:38 2014 3 relations: 47670 Thu Dec 11 12:56:38 2014 4 relations: 43110 Thu Dec 11 12:56:38 2014 5 relations: 39352 Thu Dec 11 12:56:38 2014 6 relations: 33459 Thu Dec 11 12:56:38 2014 7 relations: 29761 Thu Dec 11 12:56:38 2014 8 relations: 25803 Thu Dec 11 12:56:38 2014 9 relations: 22055 Thu Dec 11 12:56:38 2014 10+ relations: 88259 Thu Dec 11 12:56:38 2014 heaviest cycle: 22 relations Thu Dec 11 12:56:38 2014 commencing cycle optimization Thu Dec 11 12:56:38 2014 start with 2611205 relations Thu Dec 11 12:56:40 2014 pruned 54417 relations Thu Dec 11 12:56:40 2014 memory use: 87.8 MB Thu Dec 11 12:56:40 2014 distribution of cycle lengths: Thu Dec 11 12:56:40 2014 1 relations: 47883 Thu Dec 11 12:56:40 2014 2 relations: 48499 Thu Dec 11 12:56:40 2014 3 relations: 49066 Thu Dec 11 12:56:40 2014 4 relations: 44044 Thu Dec 11 12:56:40 2014 5 relations: 40128 Thu Dec 11 12:56:40 2014 6 relations: 33788 Thu Dec 11 12:56:40 2014 7 relations: 29985 Thu Dec 11 12:56:40 2014 8 relations: 25779 Thu Dec 11 12:56:40 2014 9 relations: 22008 Thu Dec 11 12:56:40 2014 10+ relations: 83661 Thu Dec 11 12:56:40 2014 heaviest cycle: 22 relations Thu Dec 11 12:56:41 2014 RelProcTime: 66 Thu Dec 11 12:56:41 2014 Thu Dec 11 12:56:41 2014 commencing linear algebra Thu Dec 11 12:56:41 2014 read 424841 cycles Thu Dec 11 12:56:41 2014 cycles contain 1477389 unique relations Thu Dec 11 12:56:48 2014 read 1477389 relations Thu Dec 11 12:56:49 2014 using 20 quadratic characters above 67108670 Thu Dec 11 12:56:55 2014 building initial matrix Thu Dec 11 12:57:02 2014 memory use: 187.6 MB Thu Dec 11 12:57:02 2014 read 424841 cycles Thu Dec 11 12:57:02 2014 matrix is 424669 x 424841 (129.0 MB) with weight 40870844 (96.20/col) Thu Dec 11 12:57:02 2014 sparse part has weight 28723094 (67.61/col) Thu Dec 11 12:57:04 2014 filtering completed in 2 passes Thu Dec 11 12:57:04 2014 matrix is 423844 x 424021 (128.9 MB) with weight 40835599 (96.31/col) Thu Dec 11 12:57:04 2014 sparse part has weight 28712603 (67.72/col) Thu Dec 11 12:57:05 2014 matrix starts at (0, 0) Thu Dec 11 12:57:05 2014 matrix is 423844 x 424021 (128.9 MB) with weight 40835599 (96.31/col) Thu Dec 11 12:57:05 2014 sparse part has weight 28712603 (67.72/col) Thu Dec 11 12:57:05 2014 saving the first 48 matrix rows for later Thu Dec 11 12:57:05 2014 matrix includes 64 packed rows Thu Dec 11 12:57:05 2014 matrix is 423796 x 424021 (123.7 MB) with weight 32517449 (76.69/col) Thu Dec 11 12:57:05 2014 sparse part has weight 28182467 (66.46/col) Thu Dec 11 12:57:05 2014 using block size 65536 for processor cache size 8192 kB Thu Dec 11 12:57:06 2014 commencing Lanczos iteration (8 threads) Thu Dec 11 12:57:06 2014 memory use: 117.0 MB Thu Dec 11 12:57:14 2014 linear algebra at 2.9%, ETA 0h 4m Thu Dec 11 13:01:37 2014 lanczos halted after 6704 iterations (dim = 423793) Thu Dec 11 13:01:38 2014 recovered 29 nontrivial dependencies Thu Dec 11 13:01:38 2014 BLanczosTime: 297 Thu Dec 11 13:01:38 2014 Thu Dec 11 13:01:38 2014 commencing square root phase Thu Dec 11 13:01:38 2014 reading relations for dependency 1 Thu Dec 11 13:01:38 2014 read 211437 cycles Thu Dec 11 13:01:38 2014 cycles contain 737528 unique relations Thu Dec 11 13:01:43 2014 read 737528 relations Thu Dec 11 13:01:45 2014 multiplying 737528 relations Thu Dec 11 13:02:01 2014 multiply complete, coefficients have about 25.50 million bits Thu Dec 11 13:02:01 2014 initial square root is modulo 21064567 Thu Dec 11 13:02:23 2014 GCD is 1, no factor found Thu Dec 11 13:02:23 2014 reading relations for dependency 2 Thu Dec 11 13:02:23 2014 read 211902 cycles Thu Dec 11 13:02:23 2014 cycles contain 736628 unique relations Thu Dec 11 13:02:28 2014 read 736628 relations Thu Dec 11 13:02:30 2014 multiplying 736628 relations Thu Dec 11 13:02:47 2014 multiply complete, coefficients have about 25.47 million bits Thu Dec 11 13:02:47 2014 initial square root is modulo 20653001 Thu Dec 11 13:03:08 2014 sqrtTime: 90 -- n: 1533407567602652776757009174923785548588095967883445587249506625218900397408667329344721648859530713762661998369 skew: 950683.06 c0: 1165914374040645588101424066000 c1: 13326438655728788526760680 c2: 12901034522539120312 c3: -30069864317894 c4: -9005315 c5: 12 Y0: -10502567353106998926697 Y1: 32888133959 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
35	1e6	418	300	Ignacio Santos	December 8, 2014 22:32:27 UTC 2014 年 12 月 9 日 (火) 7 時 32 分 27 秒 (日本時間)
40	3e6	110 / 1494		Ignacio Santos	December 8, 2014 22:32:27 UTC 2014 年 12 月 9 日 (火) 7 時 32 分 27 秒 (日本時間)
45	11e6	182 / 4395	32	Ignacio Santos	December 8, 2014 22:32:27 UTC 2014 年 12 月 9 日 (火) 7 時 32 分 27 秒 (日本時間)
45	11e6	182 / 4395	150	Pierre Jammes	December 10, 2014 19:17:23 UTC 2014 年 12 月 11 日 (木) 4 時 17 分 23 秒 (日本時間)
50	43e6	12 / 7506	6	Pierre Jammes	December 10, 2014 17:14:00 UTC 2014 年 12 月 11 日 (木) 2 時 14 分 0 秒 (日本時間)
50	43e6	12 / 7506	6	Pierre Jammes	December 10, 2014 19:17:23 UTC 2014 年 12 月 11 日 (木) 4 時 17 分 23 秒 (日本時間)

154×10¹⁵⁹-19

c141

name 名前	Serge Batalov
date 日付	December 11, 2014 01:35:01 UTC 2014 年 12 月 11 日 (木) 10 時 35 分 1 秒 (日本時間)
composite number 合成数	101364678001576533278194636992402501912696761294385538000332848458816212440401741885580355814632466194945919105949652823079238295938581945819<141>
prime factors 素因数	34739693596601154539431271802187<32> 2917834543350543597498863952808433966636273840993020126866651460621030648405051217642337619385844005781282737<109>
factorization results 素因数分解の結果	Input number is 101364678001576533278194636992402501912696761294385538000332848458816212440401741885580355814632466194945919105949652823079238295938581945819 (141 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2177196353 Step 1 took 8910ms Step 2 took 6917ms ********** Factor found in step 2: 34739693596601154539431271802187 Found probable prime factor of 32 digits: 34739693596601154539431271802187 Probable prime cofactor 2917834543350543597498863952808433966636273840993020126866651460621030648405051217642337619385844005781282737 has 109 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300 / 2318		Serge Batalov	December 10, 2014 19:48:53 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 53 秒 (日本時間)

154×10¹⁶⁰-19

c157

name 名前	Jo Yeong Uk
date 日付	December 29, 2014 11:31:24 UTC 2014 年 12 月 29 日 (月) 20 時 31 分 24 秒 (日本時間)
composite number 合成数	2743352269589583812083932328268820020058536724401762158483816893705787938869560725171325912031024820212449475111203743785149200954116542592325382955944256507<157>
prime factors 素因数	6142039248375713392504793919063091709350397952938553394387834231<64> 446651699647649465287376763587458197481940055947976635163588573298319119943356515801865623197<93>
factorization results 素因数分解の結果	Number: 17111_160 N=2743352269589583812083932328268820020058536724401762158483816893705787938869560725171325912031024820212449475111203743785149200954116542592325382955944256507 ( 157 digits) SNFS difficulty: 162 digits. Divisors found: r1=6142039248375713392504793919063091709350397952938553394387834231 r2=446651699647649465287376763587458197481940055947976635163588573298319119943356515801865623197 Version: Total time: 7.81 hours. Scaled time: 40.04 units (timescale=5.127). Factorization parameters were as follows: n: 2743352269589583812083932328268820020058536724401762158483816893705787938869560725171325912031024820212449475111203743785149200954116542592325382955944256507 m: 100000000000000000000000000000000 deg: 5 c5: 154 c0: -1 skew: 0.37 # Murphy_E = 5.971e-10 type: snfs lss: 1 rlim: 3000000 alim: 3000000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4 Factor base limits: 3000000/3000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved rational special-q in [1500000, 2625001) Primes: rational ideals reading, algebraic ideals reading, Relations: 8679422 Max relations in full relation-set: Initial matrix: Pruned matrix : 623524 x 623771 Total sieving time: 7.09 hours. Total relation processing time: 0.32 hours. Matrix solve time: 0.36 hours. Time per square root: 0.04 hours. Prototype def-par.txt line would be: snfs,162,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,51,51,2.4,2.4,75000 total time: 7.81 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.. 6799.88 BogoMIPS (lpj=3399941) Total of 12 processors activated (81598.58 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300 / 2318		Serge Batalov	December 10, 2014 19:48:54 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 54 秒 (日本時間)

154×10¹⁶¹-19

c142

name 名前	Jo Yeong Uk
date 日付	January 1, 2015 01:00:13 UTC 2015 年 1 月 1 日 (木) 10 時 0 分 13 秒 (日本時間)
composite number 合成数	3355441489034945549338865319953172311886334607920054012029077041039471364450726951095898160018338295482462210771956177266138684441360721489177<142>
prime factors 素因数	718064461420566644742287744210269386279059089208526567473<57> 4672897308407080192646983284567575941014039038307960112810365763635023335438726771049<85>
factorization results 素因数分解の結果	Number: 17111_161 N=3355441489034945549338865319953172311886334607920054012029077041039471364450726951095898160018338295482462210771956177266138684441360721489177 ( 142 digits) SNFS difficulty: 163 digits. Divisors found: r1=718064461420566644742287744210269386279059089208526567473 r2=4672897308407080192646983284567575941014039038307960112810365763635023335438726771049 Version: Total time: 11.46 hours. Scaled time: 60.19 units (timescale=5.254). Factorization parameters were as follows: n: 3355441489034945549338865319953172311886334607920054012029077041039471364450726951095898160018338295482462210771956177266138684441360721489177 m: 100000000000000000000000000000000 deg: 5 c5: 1540 c0: -1 skew: 0.23 # Murphy_E = 4.373e-10 type: snfs lss: 1 rlim: 3400000 alim: 3400000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4 Factor base limits: 3400000/3400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved rational special-q in [1700000, 3400001) Primes: rational ideals reading, algebraic ideals reading, Relations: 9695967 Max relations in full relation-set: Initial matrix: Pruned matrix : 643076 x 643324 Total sieving time: 10.63 hours. Total relation processing time: 0.40 hours. Matrix solve time: 0.38 hours. Time per square root: 0.04 hours. Prototype def-par.txt line would be: snfs,163,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000 total time: 11.46 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.. 6799.88 BogoMIPS (lpj=3399941) Total of 12 processors activated (81598.58 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300 / 2318		Serge Batalov	December 10, 2014 19:48:54 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 54 秒 (日本時間)

154×10¹⁶³-19

c136

name 名前	Serge Batalov
date 日付	December 17, 2014 20:43:54 UTC 2014 年 12 月 18 日 (木) 5 時 43 分 54 秒 (日本時間)
composite number 合成数	2072121437470469231700976187347182869036322256738619671994869202548726541501468472095253628492597301645821125011546902828112197067625661<136>
prime factors 素因数	161849515363618500694385616669247<33> 12802765784099796236925566414620341553314002074681103534284167990767020681297419743071774197544852687363<104>
factorization results 素因数分解の結果	Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2459738901 Step 1 took 10405ms Step 2 took 8543ms ********** Factor found in step 2: 161849515363618500694385616669247 Found probable prime factor of 33 digits: 161849515363618500694385616669247 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300 / 2318		Serge Batalov	December 10, 2014 19:48:54 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 54 秒 (日本時間)

154×10¹⁶⁴-19

c108

name 名前	Erik Branger
date 日付	December 9, 2014 21:46:34 UTC 2014 年 12 月 10 日 (水) 6 時 46 分 34 秒 (日本時間)
composite number 合成数	564806841873028020488259481640411656372846385332051576900039319298124363291544872271105713769237563939672439<108>
prime factors 素因数	3518637144771240255950305589809089495453358778483<49> 160518637936947096890242448316872870472298467733777379927533<60>
factorization results 素因数分解の結果	Number: 17111_164 N = 564806841873028020488259481640411656372846385332051576900039319298124363291544872271105713769237563939672439 (108 digits) Divisors found: r1=3518637144771240255950305589809089495453358778483 (pp49) r2=160518637936947096890242448316872870472298467733777379927533 (pp60) Version: Msieve v. 1.51 (SVN 845) Total time: 5.62 hours. Factorization parameters were as follows: n: 564806841873028020488259481640411656372846385332051576900039319298124363291544872271105713769237563939672439 Y0: -149988853024023347580382136 Y1: 29018026374521 c0: 1663091131698973478698886221815 c1: 73652848585082728954316 c2: -192716169820978799 c3: -2415411304 c4: 1116 skew: 8814431.19 type: gnfs Factor base limits: 2500000/2500000 Large primes per side: 3 Large prime bits: 26/26 Sieved algebraic special-q in [0, 0) Total raw relations: 5025242 Relations: 629148 relations Pruned matrix : 365608 x 365837 Polynomial selection time: 0.00 hours. Total sieving time: 5.39 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.10 hours. time per square root: 0.10 hours. Prototype def-par.txt line would be: gnfs,107,4,59,2000,0.0006,0.25,200,15,15000,2000,2500000,2500000,26,26,49,49,2.6,2.6,150000 total time: 5.62 hours. Intel64 Family 6 Model 58 Stepping 9, GenuineIntel Windows-7-6.1.7601-SP1 processors: 8, speed: 2.29GHz
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	418	118	Makoto Kamada	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
35	1e6	418	300	Ignacio Santos	December 8, 2014 17:06:58 UTC 2014 年 12 月 9 日 (火) 2 時 6 分 58 秒 (日本時間)
40	3e6	110 / 2126		Ignacio Santos	December 8, 2014 17:06:58 UTC 2014 年 12 月 9 日 (火) 2 時 6 分 58 秒 (日本時間)
45	11e6	32 / 4437		Ignacio Santos	December 8, 2014 17:06:58 UTC 2014 年 12 月 9 日 (火) 2 時 6 分 58 秒 (日本時間)

154×10¹⁶⁵-19

c136

name 名前	Serge Batalov
date 日付	December 11, 2014 01:35:05 UTC 2014 年 12 月 11 日 (木) 10 時 35 分 5 秒 (日本時間)
composite number 合成数	4226002680062982547572133741265781013111394353862978658833191246577989640424725449831432761740703981879222043661697133621471497019598741<136>
prime factors 素因数	23240107754399049627533892346129<32>
composite cofactor 合成数の残り	181840924522523149501357610940395587680545155530478661354487744221374299022116138320635794464294181609029<105>
factorization results 素因数分解の結果	Input number is 4226002680062982547572133741265781013111394353862978658833191246577989640424725449831432761740703981879222043661697133621471497019598741 (136 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2399690507 Step 1 took 8934ms Step 2 took 6488ms ********** Factor found in step 2: 23240107754399049627533892346129 Found probable prime factor of 32 digits: 23240107754399049627533892346129 Composite cofactor 181840924522523149501357610940395587680545155530478661354487744221374299022116138320635794464294181609029 has 105 digits

c105

name 名前	Cyp
date 日付	December 11, 2014 20:34:48 UTC 2014 年 12 月 12 日 (金) 5 時 34 分 48 秒 (日本時間)
composite number 合成数	181840924522523149501357610940395587680545155530478661354487744221374299022116138320635794464294181609029<105>
prime factors 素因数	55014084736981549239533361106659995459682402421559<50> 3305352172846131262950010010366350836001113137345247331<55>
factorization results 素因数分解の結果	12/11/14 20:40:35 v1.34.3, 12/11/14 20:40:35 v1.34.3, ************************** 12/11/14 20:40:35 v1.34.3, Starting factorization of 181840924522523149501357610940395587680545155530478661354487744221374299022116138320635794464294181609029 12/11/14 20:40:35 v1.34.3, using pretesting plan: none 12/11/14 20:40:35 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 12/11/14 20:40:35 v1.34.3, ************************** 12/11/14 20:40:35 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C105 12/11/14 20:40:35 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C105 12/11/14 20:40:35 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C105 12/11/14 20:40:35 v1.34.3, final ECM pretested depth: 0.00 12/11/14 20:40:35 v1.34.3, scheduler: switching to sieve method 12/11/14 20:40:35 v1.34.3, nfs: commencing nfs on c105: 181840924522523149501357610940395587680545155530478661354487744221374299022116138320635794464294181609029 12/11/14 20:40:35 v1.34.3, nfs: commencing poly selection with 8 threads 12/11/14 20:40:35 v1.34.3, nfs: setting deadline of 220 seconds 12/11/14 20:45:12 v1.34.3, nfs: completed 53 ranges of size 250 in 276.6474 seconds 12/11/14 20:45:12 v1.34.3, nfs: best poly = # norm 2.666231e-14 alpha -5.528566 e 6.153e-09 rroots 2 12/11/14 20:45:12 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/11/14 20:46:40 v1.34.3, nfs: commencing lattice sieving with 8 threads [20 lines snipped] 12/11/14 21:17:14 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/11/14 21:18:42 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/11/14 21:20:12 v1.34.3, nfs: commencing msieve filtering 12/11/14 21:20:59 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/11/14 21:22:31 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/11/14 21:24:03 v1.34.3, nfs: commencing msieve filtering 12/11/14 21:24:56 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/11/14 21:26:25 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/11/14 21:27:56 v1.34.3, nfs: commencing msieve filtering 12/11/14 21:29:15 v1.34.3, nfs: commencing msieve linear algebra 12/11/14 21:33:32 v1.34.3, nfs: commencing msieve sqrt 12/11/14 21:34:47 v1.34.3, prp50 = 55014084736981549239533361106659995459682402421559 12/11/14 21:34:47 v1.34.3, prp55 = 3305352172846131262950010010366350836001113137345247331 12/11/14 21:34:47 v1.34.3, NFS elapsed time = 3252.0571 seconds. 12/11/14 21:34:47 v1.34.3, 12/11/14 21:34:47 v1.34.3, 12/11/14 21:34:47 v1.34.3, Total factoring time = 3252.0798 seconds -- Thu Dec 11 21:20:12 2014 Thu Dec 11 21:20:12 2014 commencing relation filtering Thu Dec 11 21:20:12 2014 estimated available RAM is 15987.3 MB Thu Dec 11 21:20:12 2014 commencing duplicate removal, pass 1 Thu Dec 11 21:20:28 2014 found 457525 hash collisions in 4607234 relations Thu Dec 11 21:20:32 2014 added 158599 free relations Thu Dec 11 21:20:32 2014 commencing duplicate removal, pass 2 Thu Dec 11 21:20:36 2014 found 222322 duplicates and 4543511 unique relations Thu Dec 11 21:20:36 2014 memory use: 20.6 MB Thu Dec 11 21:20:36 2014 reading ideals above 100000 Thu Dec 11 21:20:36 2014 commencing singleton removal, initial pass Thu Dec 11 21:20:56 2014 memory use: 172.2 MB Thu Dec 11 21:20:56 2014 reading all ideals from disk Thu Dec 11 21:20:56 2014 memory use: 145.2 MB Thu Dec 11 21:20:57 2014 keeping 5491514 ideals with weight <= 200, target excess is 21581 Thu Dec 11 21:20:57 2014 commencing in-memory singleton removal Thu Dec 11 21:20:57 2014 begin with 4543511 relations and 5491514 unique ideals Thu Dec 11 21:20:59 2014 reduce to 925471 relations and 1030199 ideals in 36 passes Thu Dec 11 21:20:59 2014 max relations containing the same ideal: 65 Thu Dec 11 21:24:03 2014 Thu Dec 11 21:24:03 2014 commencing relation filtering Thu Dec 11 21:24:03 2014 estimated available RAM is 15987.3 MB Thu Dec 11 21:24:03 2014 commencing duplicate removal, pass 1 Thu Dec 11 21:24:20 2014 found 546856 hash collisions in 5156216 relations Thu Dec 11 21:24:24 2014 added 1313 free relations Thu Dec 11 21:24:24 2014 commencing duplicate removal, pass 2 Thu Dec 11 21:24:28 2014 found 256918 duplicates and 4900611 unique relations Thu Dec 11 21:24:28 2014 memory use: 20.6 MB Thu Dec 11 21:24:28 2014 reading ideals above 100000 Thu Dec 11 21:24:28 2014 commencing singleton removal, initial pass Thu Dec 11 21:24:51 2014 memory use: 172.2 MB Thu Dec 11 21:24:51 2014 reading all ideals from disk Thu Dec 11 21:24:51 2014 memory use: 156.7 MB Thu Dec 11 21:24:52 2014 keeping 5658144 ideals with weight <= 200, target excess is 23074 Thu Dec 11 21:24:52 2014 commencing in-memory singleton removal Thu Dec 11 21:24:52 2014 begin with 4900611 relations and 5658144 unique ideals Thu Dec 11 21:24:56 2014 reduce to 1451339 relations and 1466508 ideals in 29 passes Thu Dec 11 21:24:56 2014 max relations containing the same ideal: 86 Thu Dec 11 21:27:56 2014 Thu Dec 11 21:27:56 2014 commencing relation filtering Thu Dec 11 21:27:56 2014 estimated available RAM is 15987.3 MB Thu Dec 11 21:27:56 2014 commencing duplicate removal, pass 1 Thu Dec 11 21:28:15 2014 found 622713 hash collisions in 5548816 relations Thu Dec 11 21:28:20 2014 added 1005 free relations Thu Dec 11 21:28:20 2014 commencing duplicate removal, pass 2 Thu Dec 11 21:28:25 2014 found 293944 duplicates and 5255877 unique relations Thu Dec 11 21:28:25 2014 memory use: 20.6 MB Thu Dec 11 21:28:25 2014 reading ideals above 100000 Thu Dec 11 21:28:25 2014 commencing singleton removal, initial pass Thu Dec 11 21:28:54 2014 memory use: 172.2 MB Thu Dec 11 21:28:54 2014 reading all ideals from disk Thu Dec 11 21:28:54 2014 memory use: 168.2 MB Thu Dec 11 21:28:55 2014 keeping 5808581 ideals with weight <= 200, target excess is 24770 Thu Dec 11 21:28:55 2014 commencing in-memory singleton removal Thu Dec 11 21:28:56 2014 begin with 5255877 relations and 5808581 unique ideals Thu Dec 11 21:28:59 2014 reduce to 1934118 relations and 1831026 ideals in 19 passes Thu Dec 11 21:28:59 2014 max relations containing the same ideal: 103 Thu Dec 11 21:29:00 2014 removing 324719 relations and 287540 ideals in 37179 cliques Thu Dec 11 21:29:00 2014 commencing in-memory singleton removal Thu Dec 11 21:29:00 2014 begin with 1609399 relations and 1831026 unique ideals Thu Dec 11 21:29:01 2014 reduce to 1562174 relations and 1494989 ideals in 10 passes Thu Dec 11 21:29:01 2014 max relations containing the same ideal: 89 Thu Dec 11 21:29:02 2014 removing 240643 relations and 203464 ideals in 37179 cliques Thu Dec 11 21:29:02 2014 commencing in-memory singleton removal Thu Dec 11 21:29:02 2014 begin with 1321531 relations and 1494989 unique ideals Thu Dec 11 21:29:02 2014 reduce to 1288369 relations and 1257502 ideals in 11 passes Thu Dec 11 21:29:02 2014 max relations containing the same ideal: 78 Thu Dec 11 21:29:03 2014 relations with 0 large ideals: 465 Thu Dec 11 21:29:03 2014 relations with 1 large ideals: 222 Thu Dec 11 21:29:03 2014 relations with 2 large ideals: 3390 Thu Dec 11 21:29:03 2014 relations with 3 large ideals: 28542 Thu Dec 11 21:29:03 2014 relations with 4 large ideals: 122899 Thu Dec 11 21:29:03 2014 relations with 5 large ideals: 306420 Thu Dec 11 21:29:03 2014 relations with 6 large ideals: 392303 Thu Dec 11 21:29:03 2014 relations with 7+ large ideals: 434128 Thu Dec 11 21:29:03 2014 commencing 2-way merge Thu Dec 11 21:29:04 2014 reduce to 728797 relation sets and 697930 unique ideals Thu Dec 11 21:29:04 2014 commencing full merge Thu Dec 11 21:29:12 2014 memory use: 77.3 MB Thu Dec 11 21:29:12 2014 found 348357 cycles, need 344130 Thu Dec 11 21:29:12 2014 weight of 344130 cycles is about 24093896 (70.01/cycle) Thu Dec 11 21:29:12 2014 distribution of cycle lengths: Thu Dec 11 21:29:12 2014 1 relations: 38039 Thu Dec 11 21:29:12 2014 2 relations: 36507 Thu Dec 11 21:29:12 2014 3 relations: 35517 Thu Dec 11 21:29:12 2014 4 relations: 32400 Thu Dec 11 21:29:12 2014 5 relations: 29858 Thu Dec 11 21:29:12 2014 6 relations: 26143 Thu Dec 11 21:29:12 2014 7 relations: 23025 Thu Dec 11 21:29:12 2014 8 relations: 20494 Thu Dec 11 21:29:12 2014 9 relations: 17573 Thu Dec 11 21:29:12 2014 10+ relations: 84574 Thu Dec 11 21:29:12 2014 heaviest cycle: 26 relations Thu Dec 11 21:29:12 2014 commencing cycle optimization Thu Dec 11 21:29:12 2014 start with 2281840 relations Thu Dec 11 21:29:15 2014 pruned 50914 relations Thu Dec 11 21:29:15 2014 memory use: 74.5 MB Thu Dec 11 21:29:15 2014 distribution of cycle lengths: Thu Dec 11 21:29:15 2014 1 relations: 38039 Thu Dec 11 21:29:15 2014 2 relations: 37245 Thu Dec 11 21:29:15 2014 3 relations: 36566 Thu Dec 11 21:29:15 2014 4 relations: 33276 Thu Dec 11 21:29:15 2014 5 relations: 30498 Thu Dec 11 21:29:15 2014 6 relations: 26483 Thu Dec 11 21:29:15 2014 7 relations: 23221 Thu Dec 11 21:29:15 2014 8 relations: 20494 Thu Dec 11 21:29:15 2014 9 relations: 17617 Thu Dec 11 21:29:15 2014 10+ relations: 80691 Thu Dec 11 21:29:15 2014 heaviest cycle: 25 relations Thu Dec 11 21:29:15 2014 RelProcTime: 79 Thu Dec 11 21:29:15 2014 Thu Dec 11 21:29:15 2014 commencing linear algebra Thu Dec 11 21:29:15 2014 read 344130 cycles Thu Dec 11 21:29:16 2014 cycles contain 1238721 unique relations Thu Dec 11 21:29:22 2014 read 1238721 relations Thu Dec 11 21:29:23 2014 using 20 quadratic characters above 67106984 Thu Dec 11 21:29:27 2014 building initial matrix Thu Dec 11 21:29:34 2014 memory use: 154.1 MB Thu Dec 11 21:29:34 2014 read 344130 cycles Thu Dec 11 21:29:34 2014 matrix is 343971 x 344130 (102.9 MB) with weight 32991039 (95.87/col) Thu Dec 11 21:29:34 2014 sparse part has weight 23177705 (67.35/col) Thu Dec 11 21:29:36 2014 filtering completed in 2 passes Thu Dec 11 21:29:36 2014 matrix is 343277 x 343452 (102.8 MB) with weight 32960204 (95.97/col) Thu Dec 11 21:29:36 2014 sparse part has weight 23167653 (67.46/col) Thu Dec 11 21:29:36 2014 matrix starts at (0, 0) Thu Dec 11 21:29:36 2014 matrix is 343277 x 343452 (102.8 MB) with weight 32960204 (95.97/col) Thu Dec 11 21:29:36 2014 sparse part has weight 23167653 (67.46/col) Thu Dec 11 21:29:36 2014 saving the first 48 matrix rows for later Thu Dec 11 21:29:37 2014 matrix includes 64 packed rows Thu Dec 11 21:29:37 2014 matrix is 343229 x 343452 (99.2 MB) with weight 26160393 (76.17/col) Thu Dec 11 21:29:37 2014 sparse part has weight 22575287 (65.73/col) Thu Dec 11 21:29:37 2014 using block size 65536 for processor cache size 8192 kB Thu Dec 11 21:29:37 2014 commencing Lanczos iteration (8 threads) Thu Dec 11 21:29:37 2014 memory use: 93.8 MB Thu Dec 11 21:29:46 2014 linear algebra at 3.5%, ETA 0h 4m Thu Dec 11 21:33:32 2014 lanczos halted after 5429 iterations (dim = 343229) Thu Dec 11 21:33:32 2014 recovered 34 nontrivial dependencies Thu Dec 11 21:33:32 2014 BLanczosTime: 257 Thu Dec 11 21:33:32 2014 Thu Dec 11 21:33:32 2014 commencing square root phase Thu Dec 11 21:33:32 2014 reading relations for dependency 1 Thu Dec 11 21:33:32 2014 read 171968 cycles Thu Dec 11 21:33:32 2014 cycles contain 621296 unique relations Thu Dec 11 21:33:37 2014 read 621296 relations Thu Dec 11 21:33:39 2014 multiplying 621296 relations Thu Dec 11 21:33:52 2014 multiply complete, coefficients have about 26.49 million bits Thu Dec 11 21:33:52 2014 initial square root is modulo 40654181 Thu Dec 11 21:34:09 2014 GCD is N, no factor found Thu Dec 11 21:34:09 2014 reading relations for dependency 2 Thu Dec 11 21:34:09 2014 read 171555 cycles Thu Dec 11 21:34:09 2014 cycles contain 618470 unique relations Thu Dec 11 21:34:14 2014 read 618470 relations Thu Dec 11 21:34:16 2014 multiplying 618470 relations Thu Dec 11 21:34:31 2014 multiply complete, coefficients have about 26.37 million bits Thu Dec 11 21:34:31 2014 initial square root is modulo 37535153 Thu Dec 11 21:34:47 2014 sqrtTime: 75 -- n: 181840924522523149501357610940395587680545155530478661354487744221374299022116138320635794464294181609029 skew: 4000559.51 c0: -102293470231035248990461273345 c1: -12102859766624479626661 c2: -42296607267839211 c3: -9134030059 c4: 2940 Y0: -15770183449504531694497074 Y1: 31336127728559 rlim: 2500000 alim: 2500000 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300 / 2318		Serge Batalov	December 10, 2014 19:48:55 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 55 秒 (日本時間)

154×10¹⁶⁹-19

c150

name 名前	Ignacio Santos
date 日付	February 15, 2015 19:23:08 UTC 2015 年 2 月 16 日 (月) 4 時 23 分 8 秒 (日本時間)
composite number 合成数	140648851446287678620462584599658990247192881200794983439616613148293426116527046746054276195110140689747561958229650915061241365396790777948902543937<150>
prime factors 素因数	19716029343205405824564118208755942939<38> 7133731087429045966409755802756296377302539302334845942009279939443338035500034601122068705526225690049429520083<112>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3762731141 Step 1 took 10141ms Step 2 took 6515ms ********** Factor found in step 2: 19716029343205405824564118208755942939 Found probable prime factor of 38 digits: 19716029343205405824564118208755942939 Probable prime cofactor 7133731087429045966409755802756296377302539302334845942009279939443338035500034601122068705526225690049429520083 has 112 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	280 / 2318		Cyp	December 10, 2014 03:32:58 UTC 2014 年 12 月 10 日 (水) 12 時 32 分 58 秒 (日本時間)

154×10¹⁷⁰-19

c166

name 名前	Cyp
date 日付	April 9, 2015 16:21:04 UTC 2015 年 4 月 10 日 (金) 1 時 21 分 4 秒 (日本時間)
composite number 合成数	8884781119955506862339547487712751564788804714241784894833615165513664389508804298849420844965761861327028600341198672359849789505688856119046836065980461558609843299<166>
prime factors 素因数	1502666860014720324252378285138721412927475754826333545537298068351<67> 5912675228538992578685370512237182599653572841058601844986930938593141092470078376697548748457509149<100>
factorization results 素因数分解の結果	04/09/15 07:53:06 v1.34.3, 04/09/15 07:53:06 v1.34.3, ************************** 04/09/15 07:53:06 v1.34.3, Starting factorization of 8884781119955506862339547487712751564788804714241784894833615165513664389508804298849420844965761861327028600341198672359849789505688856119046836065980461558609843299 04/09/15 07:53:06 v1.34.3, using pretesting plan: none 04/09/15 07:53:06 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 04/09/15 07:53:06 v1.34.3, ************************ 04/09/15 07:53:06 v1.34.3, nfs: commencing nfs on c166: 8884781119955506862339547487712751564788804714241784894833615165513664389508804298849420844965761861327028600341198672359849789505688856119046836065980461558609843299 04/09/15 07:53:06 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq 04/09/15 07:53:06 v1.34.3, nfs: commencing lattice sieving with 8 threads 04/09/15 07:58:14 v1.34.3, nfs: commencing lattice sieving with 8 threads [54 lines snipped] 04/09/15 12:36:14 v1.34.3, nfs: commencing lattice sieving with 8 threads 04/09/15 12:41:22 v1.34.3, nfs: commencing lattice sieving with 8 threads 04/09/15 12:46:31 v1.34.3, nfs: commencing msieve filtering 04/09/15 16:27:46 v1.34.3, 04/09/15 16:27:46 v1.34.3, ************************ 04/09/15 16:27:46 v1.34.3, Starting factorization of 8884781119955506862339547487712751564788804714241784894833615165513664389508804298849420844965761861327028600341198672359849789505688856119046836065980461558609843299 04/09/15 16:27:46 v1.34.3, using pretesting plan: none 04/09/15 16:27:46 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 04/09/15 16:27:46 v1.34.3, ************************ 04/09/15 16:27:46 v1.34.3, nfs: commencing nfs on c166: 8884781119955506862339547487712751564788804714241784894833615165513664389508804298849420844965761861327028600341198672359849789505688856119046836065980461558609843299 04/09/15 16:27:46 v1.34.3, nfs: resuming with sieving at user specified special-q 4919983 04/09/15 16:27:46 v1.34.3, nfs: commencing lattice sieving with 8 threads 04/09/15 16:38:46 v1.34.3, c166 cofactor = 8884781119955506862339547487712751564788804714241784894833615165513664389508804298849420844965761861327028600341198672359849789505688856119046836065980461558609843299 04/09/15 16:38:46 v1.34.3, Total factoring time = 659.2622 seconds 04/09/15 17:53:13 v1.34.3, 04/09/15 17:53:13 v1.34.3, ************************ 04/09/15 17:53:13 v1.34.3, Starting factorization of 8884781119955506862339547487712751564788804714241784894833615165513664389508804298849420844965761861327028600341198672359849789505688856119046836065980461558609843299 04/09/15 17:53:13 v1.34.3, using pretesting plan: none 04/09/15 17:53:13 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 04/09/15 17:53:13 v1.34.3, ************************** 04/09/15 17:53:13 v1.34.3, nfs: previous data file found - commencing search for last special-q 04/09/15 17:53:22 v1.34.3, nfs: parsing special-q from .dat file 04/09/15 17:53:22 v1.34.3, nfs: commencing nfs on c166: 8884781119955506862339547487712751564788804714241784894833615165513664389508804298849420844965761861327028600341198672359849789505688856119046836065980461558609843299 04/09/15 17:53:22 v1.34.3, nfs: resuming with filtering 04/09/15 17:53:22 v1.34.3, nfs: commencing msieve filtering 04/09/15 17:55:30 v1.34.3, nfs: commencing msieve linear algebra 04/09/15 18:19:38 v1.34.3, nfs: commencing msieve sqrt 04/09/15 18:21:03 v1.34.3, prp100 = 5912675228538992578685370512237182599653572841058601844986930938593141092470078376697548748457509149 04/09/15 18:21:03 v1.34.3, prp67 = 1502666860014720324252378285138721412927475754826333545537298068351 04/09/15 18:21:03 v1.34.3, NFS elapsed time = 1669.8780 seconds. 04/09/15 18:21:03 v1.34.3, 04/09/15 18:21:03 v1.34.3, 04/09/15 18:21:03 v1.34.3, Total factoring time = 1669.8791 seconds -- Thu Apr 9 12:46:31 2015 Thu Apr 9 12:46:31 2015 commencing relation filtering Thu Apr 9 12:46:31 2015 estimated available RAM is 15987.3 MB Thu Apr 9 12:46:31 2015 commencing duplicate removal, pass 1 Thu Apr 9 12:47:00 2015 found 1279878 hash collisions in 10174203 relations Thu Apr 9 12:47:09 2015 added 370515 free relations Thu Apr 9 12:47:09 2015 commencing duplicate removal, pass 2 Thu Apr 9 12:47:17 2015 found 794553 duplicates and 9750165 unique relations Thu Apr 9 12:47:17 2015 memory use: 41.3 MB Thu Apr 9 12:47:17 2015 reading ideals above 100000 Thu Apr 9 12:47:17 2015 commencing singleton removal, initial pass Thu Apr 9 12:48:00 2015 memory use: 344.5 MB Thu Apr 9 12:48:00 2015 reading all ideals from disk Thu Apr 9 12:48:01 2015 memory use: 353.1 MB Thu Apr 9 12:48:02 2015 keeping 10954896 ideals with weight <= 200, target excess is 49862 Thu Apr 9 12:48:02 2015 commencing in-memory singleton removal Thu Apr 9 12:48:03 2015 begin with 9750165 relations and 10954896 unique ideals Thu Apr 9 12:48:07 2015 reduce to 3733802 relations and 3671644 ideals in 22 passes Thu Apr 9 12:48:07 2015 max relations containing the same ideal: 108 Thu Apr 9 12:48:09 2015 relations with 0 large ideals: 1127 Thu Apr 9 12:48:09 2015 relations with 1 large ideals: 249 Thu Apr 9 12:48:09 2015 relations with 2 large ideals: 4527 Thu Apr 9 12:48:09 2015 relations with 3 large ideals: 41894 Thu Apr 9 12:48:09 2015 relations with 4 large ideals: 208793 Thu Apr 9 12:48:09 2015 relations with 5 large ideals: 602677 Thu Apr 9 12:48:09 2015 relations with 6 large ideals: 1070089 Thu Apr 9 12:48:09 2015 relations with 7+ large ideals: 1804446 Thu Apr 9 12:48:09 2015 commencing 2-way merge Thu Apr 9 12:48:10 2015 reduce to 2107322 relation sets and 2045691 unique ideals Thu Apr 9 12:48:10 2015 ignored 527 oversize relation sets Thu Apr 9 12:48:10 2015 commencing full merge Thu Apr 9 12:48:58 2015 memory use: 97.6 MB Thu Apr 9 12:48:58 2015 found 60337 cycles, need 449562 Thu Apr 9 12:48:58 2015 too few cycles, matrix probably cannot build Thu Apr 9 17:53:22 2015 Thu Apr 9 17:53:22 2015 commencing relation filtering Thu Apr 9 17:53:22 2015 estimated available RAM is 15987.3 MB Thu Apr 9 17:53:22 2015 commencing duplicate removal, pass 1 Thu Apr 9 17:53:56 2015 found 1395661 hash collisions in 10882474 relations Thu Apr 9 17:54:05 2015 added 776 free relations Thu Apr 9 17:54:05 2015 commencing duplicate removal, pass 2 Thu Apr 9 17:54:14 2015 found 840908 duplicates and 10042342 unique relations Thu Apr 9 17:54:14 2015 memory use: 41.3 MB Thu Apr 9 17:54:14 2015 reading ideals above 720000 Thu Apr 9 17:54:14 2015 commencing singleton removal, initial pass Thu Apr 9 17:54:56 2015 memory use: 344.5 MB Thu Apr 9 17:54:56 2015 reading all ideals from disk Thu Apr 9 17:54:56 2015 memory use: 293.5 MB Thu Apr 9 17:54:56 2015 commencing in-memory singleton removal Thu Apr 9 17:54:57 2015 begin with 10042342 relations and 11002083 unique ideals Thu Apr 9 17:55:00 2015 reduce to 4138880 relations and 3895041 ideals in 19 passes Thu Apr 9 17:55:00 2015 max relations containing the same ideal: 70 Thu Apr 9 17:55:02 2015 removing 498519 relations and 444002 ideals in 54517 cliques Thu Apr 9 17:55:02 2015 commencing in-memory singleton removal Thu Apr 9 17:55:02 2015 begin with 3640361 relations and 3895041 unique ideals Thu Apr 9 17:55:03 2015 reduce to 3585916 relations and 3395546 ideals in 9 passes Thu Apr 9 17:55:03 2015 max relations containing the same ideal: 64 Thu Apr 9 17:55:04 2015 removing 373232 relations and 318715 ideals in 54517 cliques Thu Apr 9 17:55:04 2015 commencing in-memory singleton removal Thu Apr 9 17:55:04 2015 begin with 3212684 relations and 3395546 unique ideals Thu Apr 9 17:55:05 2015 reduce to 3177460 relations and 3041066 ideals in 9 passes Thu Apr 9 17:55:05 2015 max relations containing the same ideal: 56 Thu Apr 9 17:55:06 2015 relations with 0 large ideals: 2923 Thu Apr 9 17:55:06 2015 relations with 1 large ideals: 2580 Thu Apr 9 17:55:06 2015 relations with 2 large ideals: 33766 Thu Apr 9 17:55:06 2015 relations with 3 large ideals: 187264 Thu Apr 9 17:55:06 2015 relations with 4 large ideals: 547410 Thu Apr 9 17:55:06 2015 relations with 5 large ideals: 900788 Thu Apr 9 17:55:06 2015 relations with 6 large ideals: 880558 Thu Apr 9 17:55:06 2015 relations with 7+ large ideals: 622171 Thu Apr 9 17:55:06 2015 commencing 2-way merge Thu Apr 9 17:55:07 2015 reduce to 1856546 relation sets and 1720152 unique ideals Thu Apr 9 17:55:07 2015 commencing full merge Thu Apr 9 17:55:23 2015 memory use: 195.0 MB Thu Apr 9 17:55:24 2015 found 916086 cycles, need 898352 Thu Apr 9 17:55:24 2015 weight of 898352 cycles is about 63209498 (70.36/cycle) Thu Apr 9 17:55:24 2015 distribution of cycle lengths: Thu Apr 9 17:55:24 2015 1 relations: 113152 Thu Apr 9 17:55:24 2015 2 relations: 102870 Thu Apr 9 17:55:24 2015 3 relations: 99487 Thu Apr 9 17:55:24 2015 4 relations: 89497 Thu Apr 9 17:55:24 2015 5 relations: 81325 Thu Apr 9 17:55:24 2015 6 relations: 69046 Thu Apr 9 17:55:24 2015 7 relations: 60786 Thu Apr 9 17:55:24 2015 8 relations: 52057 Thu Apr 9 17:55:24 2015 9 relations: 44685 Thu Apr 9 17:55:24 2015 10+ relations: 185447 Thu Apr 9 17:55:24 2015 heaviest cycle: 22 relations Thu Apr 9 17:55:24 2015 commencing cycle optimization Thu Apr 9 17:55:25 2015 start with 5436999 relations Thu Apr 9 17:55:29 2015 pruned 122831 relations Thu Apr 9 17:55:29 2015 memory use: 180.8 MB Thu Apr 9 17:55:29 2015 distribution of cycle lengths: Thu Apr 9 17:55:29 2015 1 relations: 113152 Thu Apr 9 17:55:29 2015 2 relations: 104996 Thu Apr 9 17:55:29 2015 3 relations: 102872 Thu Apr 9 17:55:29 2015 4 relations: 91420 Thu Apr 9 17:55:29 2015 5 relations: 82989 Thu Apr 9 17:55:29 2015 6 relations: 70054 Thu Apr 9 17:55:29 2015 7 relations: 61241 Thu Apr 9 17:55:29 2015 8 relations: 52076 Thu Apr 9 17:55:29 2015 9 relations: 44322 Thu Apr 9 17:55:29 2015 10+ relations: 175230 Thu Apr 9 17:55:29 2015 heaviest cycle: 22 relations Thu Apr 9 17:55:30 2015 RelProcTime: 128 Thu Apr 9 17:55:30 2015 Thu Apr 9 17:55:30 2015 commencing linear algebra Thu Apr 9 17:55:30 2015 read 898352 cycles Thu Apr 9 17:55:31 2015 cycles contain 3034596 unique relations Thu Apr 9 17:55:45 2015 read 3034596 relations Thu Apr 9 17:55:47 2015 using 20 quadratic characters above 134217324 Thu Apr 9 17:55:57 2015 building initial matrix Thu Apr 9 17:56:13 2015 memory use: 374.0 MB Thu Apr 9 17:56:14 2015 read 898352 cycles Thu Apr 9 17:56:14 2015 matrix is 898170 x 898352 (270.0 MB) with weight 81582402 (90.81/col) Thu Apr 9 17:56:14 2015 sparse part has weight 60896973 (67.79/col) Thu Apr 9 17:56:19 2015 filtering completed in 2 passes Thu Apr 9 17:56:19 2015 matrix is 895750 x 895932 (269.8 MB) with weight 81488178 (90.95/col) Thu Apr 9 17:56:19 2015 sparse part has weight 60860841 (67.93/col) Thu Apr 9 17:56:21 2015 matrix starts at (0, 0) Thu Apr 9 17:56:21 2015 matrix is 895750 x 895932 (269.8 MB) with weight 81488178 (90.95/col) Thu Apr 9 17:56:21 2015 sparse part has weight 60860841 (67.93/col) Thu Apr 9 17:56:21 2015 saving the first 48 matrix rows for later Thu Apr 9 17:56:21 2015 matrix includes 64 packed rows Thu Apr 9 17:56:21 2015 matrix is 895702 x 895932 (256.7 MB) with weight 64532260 (72.03/col) Thu Apr 9 17:56:21 2015 sparse part has weight 58345824 (65.12/col) Thu Apr 9 17:56:21 2015 using block size 65536 for processor cache size 8192 kB Thu Apr 9 17:56:23 2015 commencing Lanczos iteration (8 threads) Thu Apr 9 17:56:23 2015 memory use: 250.1 MB Thu Apr 9 17:56:28 2015 linear algebra at 0.3%, ETA 0h24m Thu Apr 9 18:19:37 2015 lanczos halted after 14166 iterations (dim = 895702) Thu Apr 9 18:19:38 2015 recovered 37 nontrivial dependencies Thu Apr 9 18:19:38 2015 BLanczosTime: 1448 Thu Apr 9 18:19:38 2015 Thu Apr 9 18:19:38 2015 commencing square root phase Thu Apr 9 18:19:38 2015 reading relations for dependency 1 Thu Apr 9 18:19:38 2015 read 447961 cycles Thu Apr 9 18:19:39 2015 cycles contain 1517092 unique relations Thu Apr 9 18:19:50 2015 read 1517092 relations Thu Apr 9 18:19:53 2015 multiplying 1517092 relations Thu Apr 9 18:20:26 2015 multiply complete, coefficients have about 43.01 million bits Thu Apr 9 18:20:26 2015 initial square root is modulo 1497511 Thu Apr 9 18:21:03 2015 sqrtTime: 85 -- n: 8884781119955506862339547487712751564788804714241784894833615165513664389508804298849420844965761861327028600341198672359849789505688856119046836065980461558609843299 m: 10000000000000000000000000000000000 deg: 5 c5: 154 c0: -1 skew: 0.37 # Murphy_E = 2.411e-10 type: snfs lss: 1 rlim: 5200000 alim: 5200000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	2650	300	Serge Batalov	December 10, 2014 19:48:55 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 55 秒 (日本時間)
40	3e6	2650	2350	Ignacio Santos	February 22, 2015 13:31:56 UTC 2015 年 2 月 22 日 (日) 22 時 31 分 56 秒 (日本時間)

154×10¹⁷²-19

c156

name 名前	Jo Yeong Uk
date 日付	May 3, 2015 01:11:36 UTC 2015 年 5 月 3 日 (日) 10 時 11 分 36 秒 (日本時間)
composite number 合成数	145265073749543089545682704084297922159803322747757354453981933828163354830416613105140425198769714068675556578723837194129991867225579703682427171190389071<156>
prime factors 素因数	1117809726631562548943744720973168024575051525448766428106183<61> 129955099055443641700778944344446370777911268029772351700756181034543388522740761164118208174137<96>
factorization results 素因数分解の結果	Number: 17111_172 N=145265073749543089545682704084297922159803322747757354453981933828163354830416613105140425198769714068675556578723837194129991867225579703682427171190389071 ( 156 digits) SNFS difficulty: 174 digits. Divisors found: r1=1117809726631562548943744720973168024575051525448766428106183 r2=129955099055443641700778944344446370777911268029772351700756181034543388522740761164118208174137 Version: Total time: 33.70 hours. Scaled time: 175.77 units (timescale=5.216). Factorization parameters were as follows: n: 145265073749543089545682704084297922159803322747757354453981933828163354830416613105140425198769714068675556578723837194129991867225579703682427171190389071 m: 20000000000000000000000000000000000 deg: 5 c5: 1925 c0: -4 skew: 0.29 # Murphy_E = 1.365e-10 type: snfs lss: 1 rlim: 6400000 alim: 6400000 lpbr: 28 lpba: 28 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 6400000/6400000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 52/52 Sieved rational special-q in [3200000, 7400001) Primes: rational ideals reading, algebraic ideals reading, Relations: 16352982 Max relations in full relation-set: Initial matrix: Pruned matrix : 1233877 x 1234125 Total sieving time: 30.25 hours. Total relation processing time: 1.66 hours. Matrix solve time: 1.70 hours. Time per square root: 0.09 hours. Prototype def-par.txt line would be: snfs,174,5,0,0,0,0,0,0,0,0,6400000,6400000,28,28,52,52,2.4,2.4,100000 total time: 33.70 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.. 6800.18 BogoMIPS (lpj=3400094) Total of 12 processors activated (81602.25 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	280	Cyp	December 7, 2014 10:33:39 UTC 2014 年 12 月 7 日 (日) 19 時 33 分 39 秒 (日本時間)
45	11e6	591 / 4413	Cyp	January 25, 2015 23:03:07 UTC 2015 年 1 月 26 日 (月) 8 時 3 分 7 秒 (日本時間)

154×10¹⁷⁷-19

c170

name 名前	Jo Yeong Uk
date 日付	July 25, 2015 12:53:34 UTC 2015 年 7 月 25 日 (土) 21 時 53 分 34 秒 (日本時間)
composite number 合成数	17087490884499068319483337778982508021465451181822514848787968166047533778646017156489506944277459991113335245554493433738226988823962870172080672105172737678917429080801<170>
prime factors 素因数	1482139829142138204061154551713639918239<40> 11528933065910049488828373551323702810514761644516061086867872790189322965287539139914523086355569277281229056307102202882050847359<131>
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 17087490884499068319483337778982508021465451181822514848787968166047533778646017156489506944277459991113335245554493433738226988823962870172080672105172737678917429080801 (170 digits) Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1009963719 Step 1 took 29361ms Step 2 took 10009ms ********** Factor found in step 2: 1482139829142138204061154551713639918239 Found probable prime factor of 40 digits: 1482139829142138204061154551713639918239 Probable prime cofactor 11528933065910049488828373551323702810514761644516061086867872790189322965287539139914523086355569277281229056307102202882050847359 has 131 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	280	Cyp	December 6, 2014 22:43:06 UTC 2014 年 12 月 7 日 (日) 7 時 43 分 6 秒 (日本時間)
45	11e6	591 / 4413	Cyp	February 7, 2015 16:45:05 UTC 2015 年 2 月 8 日 (日) 1 時 45 分 5 秒 (日本時間)

154×10¹⁷⁸-19

c127

name 名前	Cyp
date 日付	December 8, 2014 19:09:00 UTC 2014 年 12 月 9 日 (火) 4 時 9 分 0 秒 (日本時間)
composite number 合成数	6638097974511811378314594081686863406110126337561891720721094966156963805652007795573114677333016142085568326491775940524228347<127>
prime factors 素因数	2204350912908091600147925818567<31> 3011361728135424514473979208725546181169093839428453965604714042809143787847889315863953441591341<97>
factorization results 素因数分解の結果	Run 34 out of 280: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4290472685 Step 1 took 9578ms Step 2 took 3777ms ********** Factor found in step 2: 2204350912908091600147925818567 Found probable prime factor of 31 digits: 2204350912908091600147925818567 Probable prime cofactor 3011361728135424514473979208725546181169093839428453965604714042809143787847889315863953441591341 has 97 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
30	25e4	0	-	-
35	1e6	118 / 809	Makoto Kamada	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	34 / 2318	Cyp	December 8, 2014 19:08:59 UTC 2014 年 12 月 9 日 (火) 4 時 8 分 59 秒 (日本時間)

154×10¹⁷⁹-19

c154

name 名前	Jo Yeong Uk
date 日付	December 28, 2015 01:39:06 UTC 2015 年 12 月 28 日 (月) 10 時 39 分 6 秒 (日本時間)
composite number 合成数	6299262103222589131292603323963182371507106369285460363859010123811611234692999353825953927529337881602970199309513002066894027438785159286077476562053747<154>
prime factors 素因数	696868722854805553433932649214272208352481606758223899853943986830286189<72> 9039381301856844989605546308642385227428868718400407346531308797636659086098422623<82>
factorization results 素因数分解の結果	Number: 17111_179 N=6299262103222589131292603323963182371507106369285460363859010123811611234692999353825953927529337881602970199309513002066894027438785159286077476562053747 ( 154 digits) SNFS difficulty: 181 digits. Divisors found: r1=696868722854805553433932649214272208352481606758223899853943986830286189 r2=9039381301856844989605546308642385227428868718400407346531308797636659086098422623 Version: Total time: 53.20 hours. Scaled time: 279.56 units (timescale=5.255). Factorization parameters were as follows: n: 6299262103222589131292603323963182371507106369285460363859010123811611234692999353825953927529337881602970199309513002066894027438785159286077476562053747 m: 1000000000000000000000000000000000000 deg: 5 c5: 77 c0: -5 skew: 0.58 # Murphy_E = 8.559e-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, 5400001) Primes: rational ideals reading, algebraic ideals reading, Relations: 17915535 Max relations in full relation-set: Initial matrix: Pruned matrix : 1370104 x 1370352 Total sieving time: 49.35 hours. Total relation processing time: 1.16 hours. Matrix solve time: 2.10 hours. Time per square root: 0.58 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: 53.20 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	280	Cyp	December 7, 2014 04:17:09 UTC 2014 年 12 月 7 日 (日) 13 時 17 分 9 秒 (日本時間)
45	11e6	600 / 4413	KTakahashi	May 17, 2015 10:47:15 UTC 2015 年 5 月 17 日 (日) 19 時 47 分 15 秒 (日本時間)

154×10¹⁸⁰-19

c172

name 名前	Cyp
date 日付	December 7, 2014 05:13:30 UTC 2014 年 12 月 7 日 (日) 14 時 13 分 30 秒 (日本時間)
composite number 合成数	1194933867519940114071067524972141980859216264926237623786418577461769657882122963992544157960003325839569632529507502495606327274926731489100340377625243720039431432435989<172>
prime factors 素因数	8900005186943387888733032512367<31> 134262154057275043032567696639331969384935709331480680527957366025254887322487377838203027857091244773784696371789916013810221735573210702267<141>
factorization results 素因数分解の結果	Run 44 out of 280: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3110760632 Step 1 took 13528ms Step 2 took 5078ms ********** Factor found in step 2: 8900005186943387888733032512367 Found probable prime factor of 31 digits: 8900005186943387888733032512367 Probable prime cofactor 134262154057275043032567696639331969384935709331480680527957366025254887322487377838203027857091244773784696371789916013810221735573210702267 has 141 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
30	25e4	0	-	-
35	1e6	118 / 781	Makoto Kamada	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	44 / 2318	Cyp	December 7, 2014 05:13:29 UTC 2014 年 12 月 7 日 (日) 14 時 13 分 29 秒 (日本時間)

154×10¹⁸²-19

c161

name 名前	Jo Yeong Uk
date 日付	March 29, 2016 02:02:39 UTC 2016 年 3 月 29 日 (火) 11 時 2 分 39 秒 (日本時間)
composite number 合成数	15730171304715246777525978904283144392810260515732834636732006480684449569933614702799115337791322111928395988064596908239224650763381187077538847670785413381139<161>
prime factors 素因数	54006258556582441135221848221529089051837470777796332412568740270027<68> 291265711144102341805557181241222831447187678766010756613944400197974402080806998444271184857<93>
factorization results 素因数分解の結果	Number: 17111_182 N=15730171304715246777525978904283144392810260515732834636732006480684449569933614702799115337791322111928395988064596908239224650763381187077538847670785413381139 ( 161 digits) SNFS difficulty: 184 digits. Divisors found: r1=54006258556582441135221848221529089051837470777796332412568740270027 r2=291265711144102341805557181241222831447187678766010756613944400197974402080806998444271184857 Version: Total time: 80.74 hours. Scaled time: 419.51 units (timescale=5.196). Factorization parameters were as follows: n: 15730171304715246777525978904283144392810260515732834636732006480684449569933614702799115337791322111928395988064596908239224650763381187077538847670785413381139 m: 2000000000000000000000000000000000000 deg: 5 c5: 1925 c0: -4 skew: 0.29 # Murphy_E = 5.4e-11 type: snfs lss: 1 rlim: 6600000 alim: 6600000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 Factor base limits: 6600000/6600000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 54/54 Sieved rational special-q in [3300000, 7100001) Primes: rational ideals reading, algebraic ideals reading, Relations: 20553835 Max relations in full relation-set: Initial matrix: Pruned matrix : 1622730 x 1622977 Total sieving time: 75.31 hours. Total relation processing time: 2.02 hours. Matrix solve time: 3.27 hours. Time per square root: 0.14 hours. Prototype def-par.txt line would be: snfs,184,5,0,0,0,0,0,0,0,0,6600000,6600000,28,28,54,54,2.5,2.5,100000 total time: 80.74 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04 Memory: 49365468k/51380224k available (5397k kernel code, 1086460k absent, 928296k reserved, 7011k data, 1296k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.82 BogoMIPS (lpj=3399914) Total of 12 processors activated (81597.93 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300	Serge Batalov	December 10, 2014 19:48:56 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 56 秒 (日本時間)
45	11e6	600 / 4409	KTakahashi	May 25, 2015 22:23:17 UTC 2015 年 5 月 26 日 (火) 7 時 23 分 17 秒 (日本時間)

154×10¹⁸³-19

c129

name 名前	Serge Batalov
date 日付	December 9, 2014 01:37:04 UTC 2014 年 12 月 9 日 (火) 10 時 37 分 4 秒 (日本時間)
composite number 合成数	158922810524203946153445294448476602652545825248553349283013191769061258945576024023952683880377844840880335023208549211217375321<129>
prime factors 素因数	49418433532985624920961192355461<32>
composite cofactor 合成数の残り	3215860948286164576934865649446262140796868692955732367543178945299088195074778265627549776600261<97>
factorization results 素因数分解の結果	Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=240664646 Step 1 took 7650ms Step 2 took 6846ms ********** Factor found in step 2: 49418433532985624920961192355461 Found probable prime factor of 32 digits: 49418433532985624920961192355461 Composite cofactor

c97

name 名前	Dmitry Domanov
date 日付	December 9, 2014 15:57:02 UTC 2014 年 12 月 10 日 (水) 0 時 57 分 2 秒 (日本時間)
composite number 合成数	3215860948286164576934865649446262140796868692955732367543178945299088195074778265627549776600261<97>
prime factors 素因数	328714041553831347212869076639310868722327493<45> 9783156609571009386427971036120308435494245824338177<52>
factorization results 素因数分解の結果	N=3215860948286164576934865649446262140796868692955732367543178945299088195074778265627549776600261 ( 97 digits) Divisors found: r1=328714041553831347212869076639310868722327493 (pp45) r2=9783156609571009386427971036120308435494245824338177 (pp52) Version: Msieve v. 1.50 (SVN unknown) Total time: 1.96 hours. Scaled time: 4.11 units (timescale=2.097). Factorization parameters were as follows: n: 3215860948286164576934865649446262140796868692955732367543178945299088195074778265627549776600261 skew: 537069.66 c0: 152996174881285647206540505 c1: 287415242912014792853 c2: -6948202538863918 c3: -2510313226 c4: 9180 Y0: -136808737468179366541916 Y1: 874953711973 rlim: 1620000 alim: 1620000 lpbr: 25 lpba: 25 mfbr: 50 mfba: 50 rlambda: 2.5 alambda: 2.5 type: gnfs Factor base limits: 1620000/1620000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 50/50 Sieved algebraic special-q in [810000, 1050001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 187842 x 188074 Total sieving time: 1.79 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.11 hours. Time per square root: 0.02 hours. Prototype def-par.txt line would be: gnfs,96,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1620000,1620000,25,25,50,50,2.5,2.5,60000 total time: 1.96 hours.

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	2320		Serge Batalov	December 9, 2014 00:57:23 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 23 秒 (日本時間)

154×10¹⁸⁵-19

c185

name 名前	Serge Batalov
date 日付	December 8, 2014 19:39:27 UTC 2014 年 12 月 9 日 (火) 4 時 39 分 27 秒 (日本時間)
composite number 合成数	28051001821493624772313296903460837887067395264116575591985428051001821493624772313296903460837887067395264116575591985428051001821493624772313296903460837887067395264116575591985428051<185>
prime factors 素因数	20576758692664787658433969649834510743<38>
composite cofactor 合成数の残り	1363237147330364462109975324238980585867142170961687234257325212936967234085973394832254953223202747248345819860903681885375605427050603441389729957<148>
factorization results 素因数分解の結果	Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3220932110 Step 1 took 13815ms Step 2 took 5280ms ********** Factor found in step 2: 20576758692664787658433969649834510743 Found probable prime factor of 38 digits: 20576758692664787658433969649834510743 Composite cofactor

c148

name 名前	Jo Yeong Uk
date 日付	September 14, 2016 02:17:48 UTC 2016 年 9 月 14 日 (水) 11 時 17 分 48 秒 (日本時間)
composite number 合成数	1363237147330364462109975324238980585867142170961687234257325212936967234085973394832254953223202747248345819860903681885375605427050603441389729957<148>
prime factors 素因数	661053766512312183771258833173424436674931445060853344528163<60> 2062218258769990764331502821915087172128941593768439389061331624709807495783190993273239<88>
factorization results 素因数分解の結果	Number: 17111_185 N=1363237147330364462109975324238980585867142170961687234257325212936967234085973394832254953223202747248345819860903681885375605427050603441389729957 ( 148 digits) SNFS difficulty: 187 digits. Divisors found: r1=661053766512312183771258833173424436674931445060853344528163 r2=2062218258769990764331502821915087172128941593768439389061331624709807495783190993273239 Version: Total time: 67.37 hours. Scaled time: 353.78 units (timescale=5.251). Factorization parameters were as follows: n: 1363237147330364462109975324238980585867142170961687234257325212936967234085973394832254953223202747248345819860903681885375605427050603441389729957 m: 10000000000000000000000000000000000000 deg: 5 c5: 154 c0: -1 skew: 0.37 # Murphy_E = 5.976e-11 type: snfs lss: 1 rlim: 7400000 alim: 7400000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 Factor base limits: 7400000/7400000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 54/54 Sieved rational special-q in [3700000, 6700001) Primes: rational ideals reading, algebraic ideals reading, Relations: 20043440 Max relations in full relation-set: Initial matrix: Pruned matrix : 1572633 x 1572881 Total sieving time: 62.35 hours. Total relation processing time: 1.59 hours. Matrix solve time: 3.11 hours. Time per square root: 0.31 hours. Prototype def-par.txt line would be: snfs,187,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,54,54,2.5,2.5,100000 total time: 67.37 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.. 6799.70 BogoMIPS (lpj=3399852) Total of 12 processors activated (81596.44 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	2600	280	Cyp	December 7, 2014 18:58:26 UTC 2014 年 12 月 8 日 (月) 3 時 58 分 26 秒 (日本時間)
40	3e6	2600	2320	Serge Batalov	December 8, 2014 19:27:37 UTC 2014 年 12 月 9 日 (火) 4 時 27 分 37 秒 (日本時間)

154×10¹⁸⁶-19

c179

name 名前	Jo Yeong Uk
date 日付	October 12, 2016 00:17:54 UTC 2016 年 10 月 12 日 (水) 9 時 17 分 54 秒 (日本時間)
composite number 合成数	54476201420348165617156646298435908064008414600656462493786737187142330684947685631803075363322596120019786506287993902700924724923190315861608217857237345305668582088466436983611<179>
prime factors 素因数	644056880253530563173737764870429723119907<42> 84582904228744228728948282454234841617913850804712480500188258370430218463962891909836149427968511963673608798596237311476591260793707273<137>
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 54476201420348165617156646298435908064008414600656462493786737187142330684947685631803075363322596120019786506287993902700924724923190315861608217857237345305668582088466436983611 (179 digits) Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1415851834 Step 1 took 34081ms ********** Factor found in step 1: 644056880253530563173737764870429723119907 Found probable prime factor of 42 digits: 644056880253530563173737764870429723119907 Probable prime cofactor 84582904228744228728948282454234841617913850804712480500188258370430218463962891909836149427968511963673608798596237311476591260793707273 has 137 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300	Serge Batalov	December 10, 2014 19:48:56 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 56 秒 (日本時間)
45	11e6	585 / 4409	Cyp	May 23, 2015 00:29:02 UTC 2015 年 5 月 23 日 (土) 9 時 29 分 2 秒 (日本時間)

154×10¹⁸⁸-19

c167

name 名前	Cyp
date 日付	December 9, 2014 03:46:08 UTC 2014 年 12 月 9 日 (火) 12 時 46 分 8 秒 (日本時間)
composite number 合成数	94272612990076758464802155959178946957469152651130621968206254110362436350326283077358249949695941408874636509485462209699541813381671580055995752823841445340010210799<167>
prime factors 素因数	27132352561153096440706326960719<32>
composite cofactor 合成数の残り	3474546218489439810935154495324455812437880851161841185650416112525900716137731394192391209676178152170164772424976927913137391905780321<136>
factorization results 素因数分解の結果	Run 223 out of 280: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2220251567 Step 1 took 13535ms Step 2 took 5060ms ********** Factor found in step 2: 27132352561153096440706326960719 Found probable prime factor of 32 digits: 27132352561153096440706326960719 Composite cofactor 3474546218489439810935154495324455812437880851161841185650416112525900716137731394192391209676178152170164772424976927913137391905780321 has 136 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

c136

name 名前	Jo Yeong Uk
date 日付	November 2, 2016 01:15:13 UTC 2016 年 11 月 2 日 (水) 10 時 15 分 13 秒 (日本時間)
composite number 合成数	3474546218489439810935154495324455812437880851161841185650416112525900716137731394192391209676178152170164772424976927913137391905780321<136>
prime factors 素因数	2861265178571378351289851810476148435051<40> 1214339112820109514066584348986464660938410700987617202428529292188340201346604773336167874556771<97>
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 3474546218489439810935154495324455812437880851161841185650416112525900716137731394192391209676178152170164772424976927913137391905780321 (136 digits) Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3602049938 Step 1 took 26051ms Step 2 took 8501ms ********** Factor found in step 2: 2861265178571378351289851810476148435051 Found probable prime factor of 40 digits: 2861265178571378351289851810476148435051 Probable prime cofactor 1214339112820109514066584348986464660938410700987617202428529292188340201346604773336167874556771 has 97 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	280	Cyp	December 9, 2014 03:46:07 UTC 2014 年 12 月 9 日 (火) 12 時 46 分 7 秒 (日本時間)
45	11e6	591 / 4413	Cyp	May 21, 2015 18:09:17 UTC 2015 年 5 月 22 日 (金) 3 時 9 分 17 秒 (日本時間)

154×10¹⁸⁹-19

c160

name 名前	Cyp
date 日付	June 19, 2015 15:12:20 UTC 2015 年 6 月 20 日 (土) 0 時 12 分 20 秒 (日本時間)
composite number 合成数	5963376540099141820884823797830512470428043439407575630589160997999565441308525481140549414241834152495039058182512471474717459908295325122152099862507959288389<160>
prime factors 素因数	457793939105770325454415044467520470059<39>
composite cofactor 合成数の残り	13026333532828494445488483934474911028928359263336560461901935766952928134276207260102575489929339016155670574869974913871<122>
factorization results 素因数分解の結果	Run 163 out of 591: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1913136775 Step 1 took 50477ms Step 2 took 16920ms ********** Factor found in step 2: 457793939105770325454415044467520470059 Found probable prime factor of 39 digits: 457793939105770325454415044467520470059 Composite cofactor 13026333532828494445488483934474911028928359263336560461901935766952928134276207260102575489929339016155670574869974913871 has 122 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

c122

name 名前	Dmitry Domanov
date 日付	June 21, 2015 15:02:08 UTC 2015 年 6 月 22 日 (月) 0 時 2 分 8 秒 (日本時間)
composite number 合成数	13026333532828494445488483934474911028928359263336560461901935766952928134276207260102575489929339016155670574869974913871<122>
prime factors 素因数	933201802851145050831100437167067856630271<42> 13958753072518789298309455697287998818496221407602535465851599495855422365351601<80>
factorization results 素因数分解の結果	N=13026333532828494445488483934474911028928359263336560461901935766952928134276207260102575489929339016155670574869974913871 ( 122 digits) Divisors found: r1=933201802851145050831100437167067856630271 (pp42) r2=13958753072518789298309455697287998818496221407602535465851599495855422365351601 (pp80) Version: Msieve v. 1.50 (SVN unknown) Total time: 45.58 hours. Scaled time: 58.66 units (timescale=1.287). Factorization parameters were as follows: n: 13026333532828494445488483934474911028928359263336560461901935766952928134276207260102575489929339016155670574869974913871 skew: 118174.36 c0: 8871470945152125141970575937 c1: 945256725129710097155223 c2: -4948772071281493049 c3: -366890459753739 c4: 459345544 c5: 3108 Y0: -334555472061804148490460 Y1: 2581676426603 rlim: 6100000 alim: 6100000 lpbr: 27 lpba: 27 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 qintsize: 160000 type: gnfs Factor base limits: 6100000/6100000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 54/54 Sieved algebraic special-q in [3050000, 5450001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 655130 x 655358 Total sieving time: 44.92 hours. Total relation processing time: 0.14 hours. Matrix solve time: 0.44 hours. Time per square root: 0.08 hours. Prototype def-par.txt line would be: gnfs,121,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,6100000,6100000,27,27,54,54,2.5,2.5,100000 total time: 45.58 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	280	Cyp	December 9, 2014 12:16:54 UTC 2014 年 12 月 9 日 (火) 21 時 16 分 54 秒 (日本時間)
45	11e6	591 / 4413	Cyp	June 19, 2015 15:12:19 UTC 2015 年 6 月 20 日 (土) 0 時 12 分 19 秒 (日本時間)

154×10¹⁹⁰-19

c151

name 名前	Jo Yeong Uk
date 日付	November 7, 2016 02:14:22 UTC 2016 年 11 月 7 日 (月) 11 時 14 分 22 秒 (日本時間)
composite number 合成数	2398202314016560352623648054472074459389991288491793931487445233556070957040703224587827445132957718093516229902609630036992522197262424572012813689507<151>
prime factors 素因数	685010503879242074387959076910153820578979<42> 3500971591582091155276338264978384758575219759166365850670636680647487816787133454014583021378188807196600833<109>
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 2398202314016560352623648054472074459389991288491793931487445233556070957040703224587827445132957718093516229902609630036992522197262424572012813689507 (151 digits) Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1841622499 Step 1 took 24842ms Step 2 took 8970ms ********** Factor found in step 2: 685010503879242074387959076910153820578979 Found probable prime factor of 42 digits: 685010503879242074387959076910153820578979 Probable prime cofactor 3500971591582091155276338264978384758575219759166365850670636680647487816787133454014583021378188807196600833 has 109 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300	Serge Batalov	December 10, 2014 19:48:57 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 57 秒 (日本時間)
45	11e6	585 / 4409	Cyp	February 8, 2015 11:14:52 UTC 2015 年 2 月 8 日 (日) 20 時 14 分 52 秒 (日本時間)

154×10¹⁹³-19

c141

name 名前	Jo Yeong Uk
date 日付	July 9, 2017 10:31:48 UTC 2017 年 7 月 9 日 (日) 19 時 31 分 48 秒 (日本時間)
composite number 合成数	159651162204548484934432024416655808050823239115462670353580997805936568821132042334444782566721664393303058997318982690389475622453484981651<141>
prime factors 素因数	233449533590104903181146484412525117598628409212771<51> 683878694248612244074207751852169475878767009450381615702545428481581101508962923942283281<90>
factorization results 素因数分解の結果	Number: 17111_193 N=159651162204548484934432024416655808050823239115462670353580997805936568821132042334444782566721664393303058997318982690389475622453484981651 ( 141 digits) SNFS difficulty: 195 digits. Divisors found: r1=233449533590104903181146484412525117598628409212771 r2=683878694248612244074207751852169475878767009450381615702545428481581101508962923942283281 Version: Total time: 170.39 hours. Scaled time: 869.00 units (timescale=5.100). Factorization parameters were as follows: n: 159651162204548484934432024416655808050823239115462670353580997805936568821132042334444782566721664393303058997318982690389475622453484981651 m: 200000000000000000000000000000000000000 deg: 5 c5: 9625 c0: -2 skew: 0.18 # Murphy_E = 2.02e-11 type: snfs lss: 1 rlim: 12000000 alim: 12000000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 12000000/12000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved rational special-q in [6000000, 13100001) Primes: rational ideals reading, algebraic ideals reading, Relations: 23581014 Max relations in full relation-set: Initial matrix: Pruned matrix : 2299543 x 2299789 Total sieving time: 157.12 hours. Total relation processing time: 4.61 hours. Matrix solve time: 8.46 hours. Time per square root: 0.20 hours. Prototype def-par.txt line would be: snfs,195,5,0,0,0,0,0,0,0,0,12000000,12000000,28,28,55,55,2.5,2.5,100000 total time: 170.39 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04 Memory: 49367836k/51380224k available (5467k kernel code, 1086464k absent, 925924k reserved, 6954k data, 1316k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.09 BogoMIPS (lpj=3400049) Total of 12 processors activated (81601.17 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300	Serge Batalov	December 10, 2014 19:48:57 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 57 秒 (日本時間)
45	11e6	585 / 4409	Cyp	July 29, 2015 16:08:38 UTC 2015 年 7 月 30 日 (木) 1 時 8 分 38 秒 (日本時間)

154×10¹⁹⁵-19

c162

name 名前	Serge Batalov
date 日付	December 11, 2014 01:35:09 UTC 2014 年 12 月 11 日 (木) 10 時 35 分 9 秒 (日本時間)
composite number 合成数	486896123599470319010218570717241454536260956698403731179679419304730364008253005703322188755249511254807860717642781625556877715876639588164937057638899747790689<162>
prime factors 素因数	14808775364058079150987685314931<32>
composite cofactor 合成数の残り	32878891848221349040260716801257098503383418924394424341842770624448295478392175993162328149906178681670717893315055560938323597019<131>
factorization results 素因数分解の結果	Input number is 486896123599470319010218570717241454536260956698403731179679419304730364008253005703322188755249511254807860717642781625556877715876639588164937057638899747790689 (162 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2909011616 Step 1 took 10352ms Step 2 took 7522ms ********** Factor found in step 2: 14808775364058079150987685314931 Found probable prime factor of 32 digits: 14808775364058079150987685314931 Composite cofactor 32878891848221349040260716801257098503383418924394424341842770624448295478392175993162328149906178681670717893315055560938323597019 has 131 digits

c131

name 名前	Serge Batalov
date 日付	December 18, 2014 04:26:02 UTC 2014 年 12 月 18 日 (木) 13 時 26 分 2 秒 (日本時間)
composite number 合成数	32878891848221349040260716801257098503383418924394424341842770624448295478392175993162328149906178681670717893315055560938323597019<131>
prime factors 素因数	61957044798378433796660151663003769385777<41> 530672370756486910778637873985220374712214103046468472362802440284506493822808736149401547<90>
factorization results 素因数分解の結果	Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=4205508892 Step 1 took 27922ms ********** Factor found in step 1: 61957044798378433796660151663003769385777 Found probable prime factor of 41 digits: 61957044798378433796660151663003769385777 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300	Serge Batalov	December 10, 2014 19:48:58 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 58 秒 (日本時間)
45	11e6	1000 / 4409	Serge Batalov	December 18, 2014 00:18:23 UTC 2014 年 12 月 18 日 (木) 9 時 18 分 23 秒 (日本時間)

154×10¹⁹⁶-19

c156

name 名前	Cyp
date 日付	January 23, 2015 15:46:41 UTC 2015 年 1 月 24 日 (土) 0 時 46 分 41 秒 (日本時間)
composite number 合成数	584144325827201547027152160049557120468570028399099165893332508653855029048740891776341796809910744798898290510768843189707604962068889932749818585202635729<156>
prime factors 素因数	3007548242642213688165878273374447<34>
composite cofactor 合成数の残り	194226086732366002569588585393033139314071264385160797856908894875600186193003696833939975478835384461029924229119992831807<123>
factorization results 素因数分解の結果	Run 192 out of 591: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2448577289 Step 1 took 50378ms Step 2 took 16564ms ********** Factor found in step 2: 3007548242642213688165878273374447 Found probable prime factor of 34 digits: 3007548242642213688165878273374447 Composite cofactor 194226086732366002569588585393033139314071264385160797856908894875600186193003696833939975478835384461029924229119992831807 has 123 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

c123

name 名前	Erik Branger
date 日付	January 29, 2015 13:23:25 UTC 2015 年 1 月 29 日 (木) 22 時 23 分 25 秒 (日本時間)
composite number 合成数	194226086732366002569588585393033139314071264385160797856908894875600186193003696833939975478835384461029924229119992831807<123>
prime factors 素因数	5257228761749803906591396956707711049601<40> 36944575846785149106869331708592955947643591527052015566825078854854492535315324607<83>
factorization results 素因数分解の結果	Number: 17111_196 N = 194226086732366002569588585393033139314071264385160797856908894875600186193003696833939975478835384461029924229119992831807 (123 digits) Divisors found: r1=5257228761749803906591396956707711049601 (pp40) r2=36944575846785149106869331708592955947643591527052015566825078854854492535315324607 (pp83) Version: Msieve v. 1.51 (SVN Official Release) Total time: 22.18 hours. Factorization parameters were as follows: # Murphy_E = 2.139e-10, selected by Erik Branger # expecting poly E from 2.44e-010 to > 2.81e-010 n: 194226086732366002569588585393033139314071264385160797856908894875600186193003696833939975478835384461029924229119992831807 Y0: -344617138627996098626409 Y1: 4051757166857 c0: -11152076757120401042373779248 c1: -2293593697989742124321568 c2: 13350272341749289166 c3: 9901679562317853 c4: -17844594988 c5: 39960 skew: 45648.31 type: gnfs # selected mechanically rlim: 6100000 alim: 6100000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.5 alambda: 2.5 Factor base limits: 6100000/6100000 Large primes per side: 3 Large prime bits: 27/27 Sieved algebraic special-q in [0, 0) Total raw relations: 10206136 Relations: 1496758 relations Pruned matrix : 865590 x 865817 Polynomial selection time: 0.00 hours. Total sieving time: 21.63 hours. Total relation processing time: 0.06 hours. Matrix solve time: 0.46 hours. time per square root: 0.04 hours. Prototype def-par.txt line would be: gnfs,122,5,65,2000,1e-05,0.28,250,20,50000,3600,6100000,6100000,27,27,52,52,2.5,2.5,100000 total time: 22.18 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	280	Cyp	December 9, 2014 22:32:38 UTC 2014 年 12 月 10 日 (水) 7 時 32 分 38 秒 (日本時間)
45	11e6	591 / 4413	Cyp	January 23, 2015 15:46:40 UTC 2015 年 1 月 24 日 (土) 0 時 46 分 40 秒 (日本時間)

154×10¹⁹⁸-19

c167

name 名前	Serge Batalov
date 日付	December 11, 2014 01:35:13 UTC 2014 年 12 月 11 日 (木) 10 時 35 分 13 秒 (日本時間)
composite number 合成数	38989841466346774008407227261343386403565507428175414874103865094978348055380651227445595332047847742787754573245679089722863108860230810924275445869549075876730499227<167>
prime factors 素因数	2465565899387407752574011123070919309<37>
composite cofactor 合成数の残り	15813749482840492863862228995638391373604417752793165058849944037303874278654075269161996677026437907294501711222750831275593525703<131>
factorization results 素因数分解の結果	Input number is 38989841466346774008407227261343386403565507428175414874103865094978348055380651227445595332047847742787754573245679089722863108860230810924275445869549075876730499227 (167 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1541219371 Step 1 took 11003ms Step 2 took 8295ms ********** Factor found in step 2: 2465565899387407752574011123070919309 Found probable prime factor of 37 digits: 2465565899387407752574011123070919309 Composite cofactor 15813749482840492863862228995638391373604417752793165058849944037303874278654075269161996677026437907294501711222750831275593525703 has 131 digits

c131

name 名前	Erik Branger
date 日付	February 27, 2015 23:34:56 UTC 2015 年 2 月 28 日 (土) 8 時 34 分 56 秒 (日本時間)
composite number 合成数	15813749482840492863862228995638391373604417752793165058849944037303874278654075269161996677026437907294501711222750831275593525703<131>
prime factors 素因数	2422722557577078515482063944919018086537249133<46> 6527263897132134186814171663549643557782417474477421938699221751407154452910816316291<85>
factorization results 素因数分解の結果	Number: 17111_198 N = 15813749482840492863862228995638391373604417752793165058849944037303874278654075269161996677026437907294501711222750831275593525703 (131 digits) Divisors found: r1=2422722557577078515482063944919018086537249133 (pp46) r2=6527263897132134186814171663549643557782417474477421938699221751407154452910816316291 (pp85) Version: Msieve v. 1.52 (SVN 958) Total time: 53.84 hours. Factorization parameters were as follows: # Murphy_E = 7.315e-11, selected by Erik Branger # expecting poly E from 8.08e-011 to > 9.30e-011 n: 15813749482840492863862228995638391373604417752793165058849944037303874278654075269161996677026437907294501711222750831275593525703 Y0: -22188989706852902718266040 Y1: 8821586493289 c0: -87155315875247631370838759912513 c1: -16073397634859908559494554 c2: 5617395300015281735329 c3: -2652761507757519 c4: -2032425233 c5: 2940 skew: 723345.6 type: gnfs # selected mechanically rlim: 9900000 alim: 9900000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.6 alambda: 2.6 Factor base limits: 9900000/9900000 Large primes per side: 3 Large prime bits: 28/28 Sieved algebraic special-q in [0, 0) Total raw relations: 19154172 Relations: 2697676 relations Pruned matrix : 1554292 x 1554523 Polynomial selection time: 0.00 hours. Total sieving time: 52.28 hours. Total relation processing time: 0.09 hours. Matrix solve time: 1.03 hours. time per square root: 0.44 hours. Prototype def-par.txt line would be: gnfs,130,5,65,2000,1e-05,0.28,250,20,50000,3600,9900000,9900000,28,28,54,54,2.6,2.6,100000 total time: 53.84 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300	Serge Batalov	December 10, 2014 19:48:58 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 58 秒 (日本時間)
45	11e6	1000 / 4409	Serge Batalov	December 18, 2014 00:18:23 UTC 2014 年 12 月 18 日 (木) 9 時 18 分 23 秒 (日本時間)

154×10¹⁹⁹-19

c181

name 名前	Cyp
date 日付	May 22, 2015 19:27:21 UTC 2015 年 5 月 23 日 (土) 4 時 27 分 21 秒 (日本時間)
composite number 合成数	1747593714137532704865556762736119800419556308750987912623464324317548427831081531340770672776859665509155425868522033054851714273026189150217732196804315470855643305118591964208823<181>
prime factors 素因数	4453841896111212170510982656536015961<37> 392378929225891720446371699561479425038277622834585832304660418704878131694309562411517317742050959452207204276550728259559730501687952252422543<144>
factorization results 素因数分解の結果	Run 125 out of 591: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1219159085 Step 1 took 59332ms Step 2 took 18797ms ********** Factor found in step 2: 4453841896111212170510982656536015961 Found probable prime factor of 37 digits: 4453841896111212170510982656536015961 Probable prime cofactor 392378929225891720446371699561479425038277622834585832304660418704878131694309562411517317742050959452207204276550728259559730501687952252422543 has 144 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	280 / 1887	Cyp	December 9, 2014 10:30:05 UTC 2014 年 12 月 9 日 (火) 19 時 30 分 5 秒 (日本時間)
45	11e6	125 / 4413	Cyp	May 22, 2015 19:27:21 UTC 2015 年 5 月 23 日 (土) 4 時 27 分 21 秒 (日本時間)

154×10²⁰⁰-19

c183

name 名前	Jo Yeong Uk
date 日付	July 24, 2018 02:58:27 UTC 2018 年 7 月 24 日 (火) 11 時 58 分 27 秒 (日本時間)
composite number 合成数	830762827811387556253070282036542947750296656952723469758640746097836891662456871591962763227808517258250868232275546776709559204620573313805855607800795903398664136018014608853446419<183>
prime factors 素因数	119984949504906986204759672370120459131439160141887709<54> 6923891965111941926491535876072566975016657085308297625484878229568008624769352819437043047880509715914098717328921293326714966191<130>
factorization results 素因数分解の結果	Number: 17111_200 N=830762827811387556253070282036542947750296656952723469758640746097836891662456871591962763227808517258250868232275546776709559204620573313805855607800795903398664136018014608853446419 ( 183 digits) SNFS difficulty: 202 digits. Divisors found: r1=119984949504906986204759672370120459131439160141887709 r2=6923891965111941926491535876072566975016657085308297625484878229568008624769352819437043047880509715914098717328921293326714966191 Version: Total time: 215.35 hours. Scaled time: 1131.25 units (timescale=5.253). Factorization parameters were as follows: n: 830762827811387556253070282036542947750296656952723469758640746097836891662456871591962763227808517258250868232275546776709559204620573313805855607800795903398664136018014608853446419 m: 10000000000000000000000000000000000000000 deg: 5 c5: 154 c0: -1 skew: 0.37 # Murphy_E = 1.425e-11 type: snfs lss: 1 rlim: 16000000 alim: 16000000 lpbr: 29 lpba: 29 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 16000000/16000000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 56/56 Sieved rational special-q in [8000000, 16000001) Primes: rational ideals reading, algebraic ideals reading, Relations: 37980850 Max relations in full relation-set: Initial matrix: Pruned matrix : 3163504 x 3163749 Total sieving time: 194.01 hours. Total relation processing time: 2.79 hours. Matrix solve time: 18.30 hours. Time per square root: 0.26 hours. Prototype def-par.txt line would be: snfs,202,5,0,0,0,0,0,0,0,0,16000000,16000000,29,29,56,56,2.6,2.6,100000 total time: 215.35 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	280	Cyp	December 8, 2014 08:25:23 UTC 2014 年 12 月 8 日 (月) 17 時 25 分 23 秒 (日本時間)
45	11e6	591 / 4413	Cyp	July 3, 2015 09:32:54 UTC 2015 年 7 月 3 日 (金) 18 時 32 分 54 秒 (日本時間)

154×10²⁰²-19

c179

name 名前	Bob Backstrom
date 日付	October 8, 2021 08:03:56 UTC 2021 年 10 月 8 日 (金) 17 時 3 分 56 秒 (日本時間)
composite number 合成数	10381896826967856898616291699939928056933102916416088726600768329239982808175670399614563529800824140952184001173112313851612895120684743115422182085598719941524243117282203561337<179>
prime factors 素因数	34425660203597160431367870128163764058318478217<47> 301574371139672304777992722658777146584383638515492820655463054980659723114986570221131733481957998530783094114693677211099457525361<132>
factorization results 素因数分解の結果	Number: n N=10381896826967856898616291699939928056933102916416088726600768329239982808175670399614563529800824140952184001173112313851612895120684743115422182085598719941524243117282203561337 ( 179 digits) SNFS difficulty: 204 digits. Divisors found: Fri Oct 8 18:53:24 2021 p47 factor: 34425660203597160431367870128163764058318478217 Fri Oct 8 18:53:24 2021 p132 factor: 301574371139672304777992722658777146584383638515492820655463054980659723114986570221131733481957998530783094114693677211099457525361 Fri Oct 8 18:53:24 2021 elapsed time 02:17:30 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.322). Factorization parameters were as follows: # # N = 154x10^202-1 = 171(202) # n: 10381896826967856898616291699939928056933102916416088726600768329239982808175670399614563529800824140952184001173112313851612895120684743115422182085598719941524243117282203561337 m: 10000000000000000000000000000000000000000 deg: 5 c5: 15400 c0: -1 skew: 0.15 # Murphy_E = 8.027e-12 type: snfs lss: 1 rlim: 17700000 alim: 17700000 lpbr: 29 lpba: 29 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 17700000/17700000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 56/56 Sieved special-q in [100000, 43250000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 10287982 hash collisions in 68183294 relations (59140260 unique) Msieve: matrix is 2463584 x 2463811 (843.7 MB) Sieving start time : 2021/10/07 23:30:13 Sieving end time : 2021/10/08 16:34:17 Total sieving time: 17hrs 4min 4secs. Total relation processing time: 1hrs 57min 3sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 3min 28sec. Prototype def-par.txt line would be: snfs,204,5,0,0,0,0,0,0,0,0,17700000,17700000,29,29,56,56,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.118347] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16239960K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2728K init, 4972K bss, 487276K reserved, 0K cma-reserved) [ 0.154098] x86/mm: Memory block size: 128MB [ 0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.48 BogoMIPS (lpj=12798968) [ 0.150212] smpboot: Total of 16 processors activated (102391.74 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300	Serge Batalov	December 10, 2014 19:48:58 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 58 秒 (日本時間)
45	11e6	585 / 4409	Cyp	July 29, 2015 18:43:12 UTC 2015 年 7 月 30 日 (木) 3 時 43 分 12 秒 (日本時間)

154×10²⁰⁴-19

c143

name 名前	Cyp
date 日付	December 8, 2014 20:06:43 UTC 2014 年 12 月 9 日 (火) 5 時 6 分 43 秒 (日本時間)
composite number 合成数	13831058180271090910663642607083285021560118270250652676668332607071903241375801279961456736782798565834448465501561300544033421624805380449297<143>
prime factors 素因数	85288554163535880134283272052197<32>
composite cofactor 合成数の残り	162167811565322529877549815666897803954864920651110706646754776521236499481368232851213369934156699834995354301<111>
factorization results 素因数分解の結果	Run 80 out of 280: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1342771289 Step 1 took 11424ms Step 2 took 4359ms ********** Factor found in step 2: 85288554163535880134283272052197 Found probable prime factor of 32 digits: 85288554163535880134283272052197 Composite cofactor 162167811565322529877549815666897803954864920651110706646754776521236499481368232851213369934156699834995354301 has 111 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

c111

name 名前	Cyp
date 日付	December 11, 2014 06:28:13 UTC 2014 年 12 月 11 日 (木) 15 時 28 分 13 秒 (日本時間)
composite number 合成数	162167811565322529877549815666897803954864920651110706646754776521236499481368232851213369934156699834995354301<111>
prime factors 素因数	734161427852153690892565884034227907779703461535238041<54> 220888493202042859600864789252948616219579005754278961861<57>
factorization results 素因数分解の結果	12/11/14 05:40:39 v1.34.3, 12/11/14 05:40:39 v1.34.3, ************************** 12/11/14 05:40:39 v1.34.3, Starting factorization of 162167811565322529877549815666897803954864920651110706646754776521236499481368232851213369934156699834995354301 12/11/14 05:40:39 v1.34.3, using pretesting plan: none 12/11/14 05:40:39 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 12/11/14 05:40:39 v1.34.3, ************************** 12/11/14 05:40:39 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C111 12/11/14 05:40:39 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C111 12/11/14 05:40:39 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C111 12/11/14 05:40:39 v1.34.3, final ECM pretested depth: 0.00 12/11/14 05:40:39 v1.34.3, scheduler: switching to sieve method 12/11/14 05:40:39 v1.34.3, nfs: commencing nfs on c111: 162167811565322529877549815666897803954864920651110706646754776521236499481368232851213369934156699834995354301 12/11/14 05:40:39 v1.34.3, nfs: commencing poly selection with 8 threads 12/11/14 05:40:39 v1.34.3, nfs: setting deadline of 500 seconds 12/11/14 05:48:57 v1.34.3, nfs: completed 155 ranges of size 250 in 497.6809 seconds 12/11/14 05:48:57 v1.34.3, nfs: best poly = # norm 1.782501e-10 alpha -7.486526 e 9.495e-10 rroots 5 12/11/14 05:48:57 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/11/14 05:54:18 v1.34.3, nfs: commencing lattice sieving with 8 threads [9 lines snipped] 12/11/14 06:47:44 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/11/14 06:53:21 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/11/14 06:59:23 v1.34.3, nfs: commencing msieve filtering 12/11/14 07:00:20 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/11/14 07:06:23 v1.34.3, nfs: commencing msieve filtering 12/11/14 07:07:17 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/11/14 07:13:19 v1.34.3, nfs: commencing msieve filtering 12/11/14 07:14:19 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/11/14 07:20:08 v1.34.3, nfs: commencing msieve filtering 12/11/14 07:21:25 v1.34.3, nfs: commencing msieve linear algebra 12/11/14 07:27:12 v1.34.3, nfs: commencing msieve sqrt 12/11/14 07:28:12 v1.34.3, prp57 = 220888493202042859600864789252948616219579005754278961861 12/11/14 07:28:12 v1.34.3, prp54 = 734161427852153690892565884034227907779703461535238041 12/11/14 07:28:12 v1.34.3, NFS elapsed time = 6452.4546 seconds. 12/11/14 07:28:12 v1.34.3, 12/11/14 07:28:12 v1.34.3, 12/11/14 07:28:12 v1.34.3, Total factoring time = 6452.4772 seconds -- Thu Dec 11 06:59:23 2014 Thu Dec 11 06:59:23 2014 commencing relation filtering Thu Dec 11 06:59:23 2014 estimated available RAM is 15987.3 MB Thu Dec 11 06:59:23 2014 commencing duplicate removal, pass 1 Thu Dec 11 06:59:38 2014 found 404575 hash collisions in 4546281 relations Thu Dec 11 06:59:44 2014 added 32670 free relations Thu Dec 11 06:59:44 2014 commencing duplicate removal, pass 2 Thu Dec 11 06:59:48 2014 found 161030 duplicates and 4417921 unique relations Thu Dec 11 06:59:48 2014 memory use: 19.6 MB Thu Dec 11 06:59:48 2014 reading ideals above 100000 Thu Dec 11 06:59:48 2014 commencing singleton removal, initial pass Thu Dec 11 07:00:14 2014 memory use: 172.2 MB Thu Dec 11 07:00:14 2014 reading all ideals from disk Thu Dec 11 07:00:14 2014 memory use: 147.8 MB Thu Dec 11 07:00:14 2014 keeping 5374748 ideals with weight <= 200, target excess is 23872 Thu Dec 11 07:00:14 2014 commencing in-memory singleton removal Thu Dec 11 07:00:15 2014 begin with 4417921 relations and 5374748 unique ideals Thu Dec 11 07:00:20 2014 reduce to 73 relations and 0 ideals in 160 passes Thu Dec 11 07:00:20 2014 max relations containing the same ideal: 0 Thu Dec 11 07:06:23 2014 Thu Dec 11 07:06:23 2014 commencing relation filtering Thu Dec 11 07:06:23 2014 estimated available RAM is 15987.3 MB Thu Dec 11 07:06:23 2014 commencing duplicate removal, pass 1 Thu Dec 11 07:06:40 2014 found 466610 hash collisions in 4928380 relations Thu Dec 11 07:06:45 2014 added 71 free relations Thu Dec 11 07:06:45 2014 commencing duplicate removal, pass 2 Thu Dec 11 07:06:49 2014 found 184873 duplicates and 4743578 unique relations Thu Dec 11 07:06:49 2014 memory use: 20.6 MB Thu Dec 11 07:06:49 2014 reading ideals above 100000 Thu Dec 11 07:06:49 2014 commencing singleton removal, initial pass Thu Dec 11 07:07:12 2014 memory use: 172.2 MB Thu Dec 11 07:07:12 2014 reading all ideals from disk Thu Dec 11 07:07:12 2014 memory use: 158.8 MB Thu Dec 11 07:07:13 2014 keeping 5532501 ideals with weight <= 200, target excess is 24994 Thu Dec 11 07:07:13 2014 commencing in-memory singleton removal Thu Dec 11 07:07:14 2014 begin with 4743578 relations and 5532501 unique ideals Thu Dec 11 07:07:17 2014 reduce to 1246111 relations and 1337961 ideals in 26 passes Thu Dec 11 07:07:17 2014 max relations containing the same ideal: 77 Thu Dec 11 07:13:19 2014 Thu Dec 11 07:13:19 2014 commencing relation filtering Thu Dec 11 07:13:19 2014 estimated available RAM is 15987.3 MB Thu Dec 11 07:13:19 2014 commencing duplicate removal, pass 1 Thu Dec 11 07:13:38 2014 found 526512 hash collisions in 5270879 relations Thu Dec 11 07:13:43 2014 added 56 free relations Thu Dec 11 07:13:43 2014 commencing duplicate removal, pass 2 Thu Dec 11 07:13:48 2014 found 209419 duplicates and 5061516 unique relations Thu Dec 11 07:13:48 2014 memory use: 20.6 MB Thu Dec 11 07:13:48 2014 reading ideals above 100000 Thu Dec 11 07:13:48 2014 commencing singleton removal, initial pass Thu Dec 11 07:14:15 2014 memory use: 172.2 MB Thu Dec 11 07:14:16 2014 reading all ideals from disk Thu Dec 11 07:14:16 2014 memory use: 169.5 MB Thu Dec 11 07:14:16 2014 keeping 5675154 ideals with weight <= 200, target excess is 26299 Thu Dec 11 07:14:17 2014 commencing in-memory singleton removal Thu Dec 11 07:14:17 2014 begin with 5061516 relations and 5675154 unique ideals Thu Dec 11 07:14:19 2014 reduce to 1710314 relations and 1707075 ideals in 20 passes Thu Dec 11 07:14:19 2014 max relations containing the same ideal: 96 Thu Dec 11 07:20:08 2014 Thu Dec 11 07:20:08 2014 commencing relation filtering Thu Dec 11 07:20:08 2014 estimated available RAM is 15987.3 MB Thu Dec 11 07:20:08 2014 commencing duplicate removal, pass 1 Thu Dec 11 07:20:28 2014 found 588895 hash collisions in 5612146 relations Thu Dec 11 07:20:33 2014 added 44 free relations Thu Dec 11 07:20:33 2014 commencing duplicate removal, pass 2 Thu Dec 11 07:20:38 2014 found 235002 duplicates and 5377188 unique relations Thu Dec 11 07:20:38 2014 memory use: 20.6 MB Thu Dec 11 07:20:38 2014 reading ideals above 100000 Thu Dec 11 07:20:38 2014 commencing singleton removal, initial pass Thu Dec 11 07:21:05 2014 memory use: 172.2 MB Thu Dec 11 07:21:05 2014 reading all ideals from disk Thu Dec 11 07:21:05 2014 memory use: 180.1 MB Thu Dec 11 07:21:06 2014 keeping 5806016 ideals with weight <= 200, target excess is 27761 Thu Dec 11 07:21:06 2014 commencing in-memory singleton removal Thu Dec 11 07:21:06 2014 begin with 5377188 relations and 5806016 unique ideals Thu Dec 11 07:21:09 2014 reduce to 2148855 relations and 2029665 ideals in 21 passes Thu Dec 11 07:21:09 2014 max relations containing the same ideal: 111 Thu Dec 11 07:21:10 2014 removing 354934 relations and 311440 ideals in 43494 cliques Thu Dec 11 07:21:10 2014 commencing in-memory singleton removal Thu Dec 11 07:21:10 2014 begin with 1793921 relations and 2029665 unique ideals Thu Dec 11 07:21:11 2014 reduce to 1744283 relations and 1667213 ideals in 9 passes Thu Dec 11 07:21:11 2014 max relations containing the same ideal: 94 Thu Dec 11 07:21:11 2014 removing 267772 relations and 224278 ideals in 43494 cliques Thu Dec 11 07:21:11 2014 commencing in-memory singleton removal Thu Dec 11 07:21:12 2014 begin with 1476511 relations and 1667213 unique ideals Thu Dec 11 07:21:12 2014 reduce to 1440811 relations and 1406297 ideals in 9 passes Thu Dec 11 07:21:12 2014 max relations containing the same ideal: 83 Thu Dec 11 07:21:13 2014 relations with 0 large ideals: 79 Thu Dec 11 07:21:13 2014 relations with 1 large ideals: 195 Thu Dec 11 07:21:13 2014 relations with 2 large ideals: 3028 Thu Dec 11 07:21:13 2014 relations with 3 large ideals: 26379 Thu Dec 11 07:21:13 2014 relations with 4 large ideals: 117084 Thu Dec 11 07:21:13 2014 relations with 5 large ideals: 292977 Thu Dec 11 07:21:13 2014 relations with 6 large ideals: 427542 Thu Dec 11 07:21:13 2014 relations with 7+ large ideals: 573527 Thu Dec 11 07:21:13 2014 commencing 2-way merge Thu Dec 11 07:21:13 2014 reduce to 821836 relation sets and 787323 unique ideals Thu Dec 11 07:21:13 2014 ignored 1 oversize relation sets Thu Dec 11 07:21:13 2014 commencing full merge Thu Dec 11 07:21:22 2014 memory use: 88.2 MB Thu Dec 11 07:21:22 2014 found 398870 cycles, need 393523 Thu Dec 11 07:21:22 2014 weight of 393523 cycles is about 27840773 (70.75/cycle) Thu Dec 11 07:21:22 2014 distribution of cycle lengths: Thu Dec 11 07:21:22 2014 1 relations: 43473 Thu Dec 11 07:21:22 2014 2 relations: 42547 Thu Dec 11 07:21:22 2014 3 relations: 42555 Thu Dec 11 07:21:22 2014 4 relations: 39344 Thu Dec 11 07:21:22 2014 5 relations: 35961 Thu Dec 11 07:21:22 2014 6 relations: 30644 Thu Dec 11 07:21:22 2014 7 relations: 27161 Thu Dec 11 07:21:22 2014 8 relations: 24007 Thu Dec 11 07:21:22 2014 9 relations: 20574 Thu Dec 11 07:21:22 2014 10+ relations: 87257 Thu Dec 11 07:21:22 2014 heaviest cycle: 22 relations Thu Dec 11 07:21:22 2014 commencing cycle optimization Thu Dec 11 07:21:22 2014 start with 2485987 relations Thu Dec 11 07:21:25 2014 pruned 53190 relations Thu Dec 11 07:21:25 2014 memory use: 82.8 MB Thu Dec 11 07:21:25 2014 distribution of cycle lengths: Thu Dec 11 07:21:25 2014 1 relations: 43473 Thu Dec 11 07:21:25 2014 2 relations: 43443 Thu Dec 11 07:21:25 2014 3 relations: 43892 Thu Dec 11 07:21:25 2014 4 relations: 40213 Thu Dec 11 07:21:25 2014 5 relations: 36579 Thu Dec 11 07:21:25 2014 6 relations: 31115 Thu Dec 11 07:21:25 2014 7 relations: 27417 Thu Dec 11 07:21:25 2014 8 relations: 24054 Thu Dec 11 07:21:25 2014 9 relations: 20484 Thu Dec 11 07:21:25 2014 10+ relations: 82853 Thu Dec 11 07:21:25 2014 heaviest cycle: 22 relations Thu Dec 11 07:21:25 2014 RelProcTime: 77 Thu Dec 11 07:21:25 2014 Thu Dec 11 07:21:25 2014 commencing linear algebra Thu Dec 11 07:21:25 2014 read 393523 cycles Thu Dec 11 07:21:26 2014 cycles contain 1388073 unique relations Thu Dec 11 07:21:33 2014 read 1388073 relations Thu Dec 11 07:21:34 2014 using 20 quadratic characters above 67108670 Thu Dec 11 07:21:38 2014 building initial matrix Thu Dec 11 07:21:48 2014 memory use: 174.9 MB Thu Dec 11 07:21:48 2014 read 393523 cycles Thu Dec 11 07:21:48 2014 matrix is 393345 x 393523 (120.2 MB) with weight 38517447 (97.88/col) Thu Dec 11 07:21:48 2014 sparse part has weight 26794871 (68.09/col) Thu Dec 11 07:21:50 2014 filtering completed in 2 passes Thu Dec 11 07:21:50 2014 matrix is 392580 x 392758 (120.1 MB) with weight 38481607 (97.98/col) Thu Dec 11 07:21:50 2014 sparse part has weight 26783088 (68.19/col) Thu Dec 11 07:21:51 2014 matrix starts at (0, 0) Thu Dec 11 07:21:51 2014 matrix is 392580 x 392758 (120.1 MB) with weight 38481607 (97.98/col) Thu Dec 11 07:21:51 2014 sparse part has weight 26783088 (68.19/col) Thu Dec 11 07:21:51 2014 saving the first 48 matrix rows for later Thu Dec 11 07:21:51 2014 matrix includes 64 packed rows Thu Dec 11 07:21:51 2014 matrix is 392532 x 392758 (115.9 MB) with weight 30745010 (78.28/col) Thu Dec 11 07:21:51 2014 sparse part has weight 26442689 (67.33/col) Thu Dec 11 07:21:51 2014 using block size 65536 for processor cache size 8192 kB Thu Dec 11 07:21:52 2014 commencing Lanczos iteration (8 threads) Thu Dec 11 07:21:52 2014 memory use: 109.2 MB Thu Dec 11 07:22:02 2014 linear algebra at 3.1%, ETA 0h 5m Thu Dec 11 07:27:11 2014 lanczos halted after 6209 iterations (dim = 392529) Thu Dec 11 07:27:12 2014 recovered 26 nontrivial dependencies Thu Dec 11 07:27:12 2014 BLanczosTime: 347 Thu Dec 11 07:27:12 2014 Thu Dec 11 07:27:12 2014 commencing square root phase Thu Dec 11 07:27:12 2014 reading relations for dependency 1 Thu Dec 11 07:27:12 2014 read 197195 cycles Thu Dec 11 07:27:12 2014 cycles contain 695858 unique relations Thu Dec 11 07:27:18 2014 read 695858 relations Thu Dec 11 07:27:20 2014 multiplying 695858 relations Thu Dec 11 07:27:42 2014 multiply complete, coefficients have about 28.72 million bits Thu Dec 11 07:27:42 2014 initial square root is modulo 177306757 Thu Dec 11 07:28:12 2014 sqrtTime: 60 -- n: 162167811565322529877549815666897803954864920651110706646754776521236499481368232851213369934156699834995354301 skew: 132996.51 c0: 6590040690228294971272305600 c1: 1052084424534614198178840 c2: -3215348849570699250 c3: -225767496860581 c4: 207830896 c5: 2280 Y0: -2346419858987181349217 Y1: 69986796139 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	280 / 2318		Cyp	December 8, 2014 20:06:42 UTC 2014 年 12 月 9 日 (火) 5 時 6 分 42 秒 (日本時間)

154×10²⁰⁵-19

c184

name 名前	Bob Backstrom
date 日付	October 24, 2021 14:39:08 UTC 2021 年 10 月 24 日 (日) 23 時 39 分 8 秒 (日本時間)
composite number 合成数	1103850798325273334798118039375842206355736432966491204033603175493437087291725192613161903977360369002688534009181220705420832527973559039538885286669514657684427356413372801023828527<184>
prime factors 素因数	17598493307099316310298116721628585359541801911571467678574603649447079906959<77> 62724165021557535667598543925594812498204586155108286966326002410775512956509786859582410972020139279008353<107>
factorization results 素因数分解の結果	Number: n N=1103850798325273334798118039375842206355736432966491204033603175493437087291725192613161903977360369002688534009181220705420832527973559039538885286669514657684427356413372801023828527 ( 184 digits) SNFS difficulty: 207 digits. Divisors found: Mon Oct 25 01:30:49 2021 p77 factor: 17598493307099316310298116721628585359541801911571467678574603649447079906959 Mon Oct 25 01:30:49 2021 p107 factor: 62724165021557535667598543925594812498204586155108286966326002410775512956509786859582410972020139279008353 Mon Oct 25 01:30:49 2021 elapsed time 01:51:50 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.346). Factorization parameters were as follows: # # N = 154×10205-1 = 17(1)205 # n: 1103850798325273334798118039375842206355736432966491204033603175493437087291725192613161903977360369002688534009181220705420832527973559039538885286669514657684427356413372801023828527 m: 100000000000000000000000000000000000000000 deg: 5 c5: 154 c0: -1 skew: 0.37 # Murphy_E = 8.765e-12 type: snfs lss: 1 rlim: 19900000 alim: 19900000 lpbr: 29 lpba: 29 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 19900000/19900000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 56/56 Sieved special-q in [100000, 37150000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 9280572 hash collisions in 63764218 relations (56991765 unique) Msieve: matrix is 2186937 x 2187163 (760.5 MB) Sieving start time : 2021/10/24 10:10:27 Sieving end time : 2021/10/24 23:37:47 Total sieving time: 13hrs 27min 20secs. Total relation processing time: 1hrs 33min 9sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 2min 38sec. Prototype def-par.txt line would be: snfs,207,5,0,0,0,0,0,0,0,0,19900000,19900000,29,29,56,56,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.118892] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2728K init, 4972K bss, 487280K reserved, 0K cma-reserved) [ 0.152618] x86/mm: Memory block size: 128MB [ 0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.04 BogoMIPS (lpj=12798084) [ 0.150210] smpboot: Total of 16 processors activated (102384.67 BogoMIPS)

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	118	Makoto Kamada	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	280	Cyp	December 10, 2014 20:11:38 UTC 2014 年 12 月 11 日 (木) 5 時 11 分 38 秒 (日本時間)
45	11e6	591 / 4413	Cyp	July 29, 2015 17:31:40 UTC 2015 年 7 月 30 日 (木) 2 時 31 分 40 秒 (日本時間)

154×10²⁰⁶-19

c175

name 名前	Serge Batalov
date 日付	December 11, 2014 01:35:16 UTC 2014 年 12 月 11 日 (木) 10 時 35 分 16 秒 (日本時間)
composite number 合成数	1298669993964874191184382613945577172892342152655773723610725562114913684557857033314791365611926111043243886995365053208739406246737058479698081329760041394382035019089249527<175>
prime factors 素因数	98697975686710186565600843003<29> 13158020566573199025399337766493853185074569307320289819674873783728277586980890850548600654678232564621663383516830382998313758051238848006387509<146>
factorization results 素因数分解の結果	Input number is 1298669993964874191184382613945577172892342152655773723610725562114913684557857033314791365611926111043243886995365053208739406246737058479698081329760041394382035019089249527 (175 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1092560519 Step 1 took 16645ms Step 2 took 11517ms ********** Factor found in step 2: 98697975686710186565600843003 Found probable prime factor of 29 digits: 98697975686710186565600843003 Probable prime cofactor 13158020566573199025399337766493853185074569307320289819674873783728277586980890850548600654678232564621663383516830382998313758051238848006387509 has 146 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300 / 2318		Serge Batalov	December 10, 2014 19:48:59 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 59 秒 (日本時間)

154×10²⁰⁷-19

c161

name 名前	Serge Batalov
date 日付	December 11, 2014 01:35:20 UTC 2014 年 12 月 11 日 (木) 10 時 35 分 20 秒 (日本時間)
composite number 合成数	16238499287342261729450262922132099927150591555548548470853526922343969247320048816589561392924097966637622795951271921297931943402432367504544237839519848004233<161>
prime factors 素因数	3881235273232640330772351240409579<34> 4183848219491570588889273743881303189977066590363687088056473175900715240818997765110917696880814934295373166007929837857166427<127>
factorization results 素因数分解の結果	Input number is 16238499287342261729450262922132099927150591555548548470853526922343969247320048816589561392924097966637622795951271921297931943402432367504544237839519848004233 (161 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2975654153 Step 1 took 11016ms Step 2 took 8085ms ********** Factor found in step 2: 3881235273232640330772351240409579 Found probable prime factor of 34 digits: 3881235273232640330772351240409579 Probable prime cofactor 4183848219491570588889273743881303189977066590363687088056473175900715240818997765110917696880814934295373166007929837857166427 has 127 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300 / 2318		Serge Batalov	December 10, 2014 19:48:59 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 59 秒 (日本時間)

154×10²⁰⁸-19

c202

name 名前	Serge Batalov
date 日付	December 11, 2014 01:35:23 UTC 2014 年 12 月 11 日 (木) 10 時 35 分 23 秒 (日本時間)
composite number 合成数	9928651869532588791466248930888891506442563583844115729990879759596649678292015538701217704666280055278349529511167273755374664544539825908310305469351969851300450631206628352514876263499122413553146207<202>
prime factors 素因数	3715790008360203808516356733877<31>
composite cofactor 合成数の残り	2672016407599457193284624023360839886035127671958969993712420930790194206748642034278644467401503952996539197270058449898937049814465917337208527415269525177880371289044291<172>
factorization results 素因数分解の結果	Input number is 9928651869532588791466248930888891506442563583844115729990879759596649678292015538701217704666280055278349529511167273755374664544539825908310305469351969851300450631206628352514876263499122413553146207 (202 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3422876931 Step 1 took 16014ms Step 2 took 10566ms ********** Factor found in step 2: 3715790008360203808516356733877 Found probable prime factor of 31 digits: 3715790008360203808516356733877 Composite cofactor 2672016407599457193284624023360839886035127671958969993712420930790194206748642034278644467401503952996539197270058449898937049814465917337208527415269525177880371289044291 has 172 digits

c172

name 名前	Bob Backstrom
date 日付	August 5, 2021 02:00:55 UTC 2021 年 8 月 5 日 (木) 11 時 0 分 55 秒 (日本時間)
composite number 合成数	2672016407599457193284624023360839886035127671958969993712420930790194206748642034278644467401503952996539197270058449898937049814465917337208527415269525177880371289044291<172>
prime factors 素因数	9572360387096921056766676499345384333618998083<46> 279138718095194797406486565856195768268178348596395492601898899554368203001660380180671279920581409497212055429568490262949377<126>
factorization results 素因数分解の結果	# # N = 154x10^208-1 = 171(208) # n: 2672016407599457193284624023360839886035127671958969993712420930790194206748642034278644467401503952996539197270058449898937049814465917337208527415269525177880371289044291 m: 100000000000000000000000000000000000000000 deg: 5 c5: 154000 c0: -1 skew: 0.09 # Murphy_E = 4.739e-12 type: snfs lss: 1 rlim: 22000000 alim: 22000000 lpbr: 29 lpba: 29 mfbr: 57 mfba: 57 rlambda: 2.6 alambda: 2.6 GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 2672016407599457193284624023360839886035127671958969993712420930790194206748642034278644467401503952996539197270058449898937049814465917337208527415269525177880371289044291 (172 digits) Using B1=40540000, B2=192393771586, polynomial Dickson(12), sigma=1:3544825135 Step 1 took 93276ms Step 2 took 30271ms ********** Factor found in step 2: 9572360387096921056766676499345384333618998083 Found prime factor of 46 digits: 9572360387096921056766676499345384333618998083 Prime cofactor 279138718095194797406486565856195768268178348596395492601898899554368203001660380180671279920581409497212055429568490262949377 has 126 digits

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	118	Makoto Kamada	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300	Serge Batalov	December 10, 2014 19:49:00 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 0 秒 (日本時間)
45	11e6	585 / 4409	Cyp	May 12, 2015 04:52:37 UTC 2015 年 5 月 12 日 (火) 13 時 52 分 37 秒 (日本時間)

154×10²⁰⁹-19

c178

name 名前	Bob Backstrom
date 日付	July 9, 2021 15:11:55 UTC 2021 年 7 月 10 日 (土) 0 時 11 分 55 秒 (日本時間)
composite number 合成数	3879844991025720674029418958367714765268184297754964504906503592342831598130598039603902787573909342623308357667388984544822920448499392429651041735747492521827882780931131393217<178>
prime factors 素因数	133735655318608247500044861558014881208307379<45> 29011298309209176580705187446302237546599772785510307957383365155733193601836716045114741866297521883743649637909896518129644536846523<134>
factorization results 素因数分解の結果	# # N = 154x10^209-1 = 171(209) # n: 3879844991025720674029418958367714765268184297754964504906503592342831598130598039603902787573909342623308357667388984544822920448499392429651041735747492521827882780931131393217 m: 100000000000000000000000000000000000 deg: 6 c6: 77 c0: -5 skew: 0.63 # Murphy_E = 4.979e-12 type: snfs lss: 1 rlim: 24000000 alim: 24000000 lpbr: 29 lpba: 29 mfbr: 57 mfba: 57 rlambda: 2.6 alambda: 2.6 GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 3879844991025720674029418958367714765268184297754964504906503592342831598130598039603902787573909342623308357667388984544822920448499392429651041735747492521827882780931131393217 (178 digits) Using B1=36420000, B2=192389627446, polynomial Dickson(12), sigma=1:1390025030 Step 1 took 97148ms Step 2 took 32494ms ********** Factor found in step 2: 133735655318608247500044861558014881208307379 Found prime factor of 45 digits: 133735655318608247500044861558014881208307379 Prime cofactor 29011298309209176580705187446302237546599772785510307957383365155733193601836716045114741866297521883743649637909896518129644536846523 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	280	Cyp	December 7, 2014 18:15:25 UTC 2014 年 12 月 8 日 (月) 3 時 15 分 25 秒 (日本時間)
45	11e6	591 / 4413	Cyp	May 18, 2015 17:57:55 UTC 2015 年 5 月 19 日 (火) 2 時 57 分 55 秒 (日本時間)

154×10²¹⁰-19

c201

name 名前	Serge Batalov
date 日付	December 11, 2014 01:35:27 UTC 2014 年 12 月 11 日 (木) 10 時 35 分 27 秒 (日本時間)
composite number 合成数	479726419693985481648782502514308553414037787855254296921446357758254511355857063057713310796271656627905175455153308333467364923234890605272957046369008378589646641271912712144947946703287424491211883<201>
prime factors 素因数	484378845349583406989785368230093<33> 990395068446393028075804491068213165225320400036661118895481308752486313827215346184020911897118174569000196021184664985326246092952800082224954285002284571620810603031<168>
factorization results 素因数分解の結果	Input number is 479726419693985481648782502514308553414037787855254296921446357758254511355857063057713310796271656627905175455153308333467364923234890605272957046369008378589646641271912712144947946703287424491211883 (201 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=802540485 Step 1 took 15994ms Step 2 took 10277ms ********** Factor found in step 2: 484378845349583406989785368230093 Found probable prime factor of 33 digits: 484378845349583406989785368230093 Probable prime cofactor 990395068446393028075804491068213165225320400036661118895481308752486313827215346184020911897118174569000196021184664985326246092952800082224954285002284571620810603031 has 168 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300 / 2318		Serge Batalov	December 10, 2014 19:49:00 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 0 秒 (日本時間)

154×10²¹¹-19

c164

name 名前	ebina
date 日付	December 1, 2023 09:36:21 UTC 2023 年 12 月 1 日 (金) 18 時 36 分 21 秒 (日本時間)
composite number 合成数	50942172461751359504179679340489182850842530241292814783746065987267553752109001638259219280302628901022494406414170997332454620135799522674045917234807859021569143<164>
prime factors 素因数	232419761876363025676656338871129190560099421<45> 219181759978096566223731344291493972036442265682899660027241199003310612064315981612846119558260502287144198549441773283<120>
factorization results 素因数分解の結果	Fri Dec 01 17:01:05 2023 Msieve v. 1.54 (SVN 1018) Fri Dec 01 17:01:05 2023 random seeds: 6d206cf0 f9ab6960 Fri Dec 01 17:01:05 2023 factoring 50942172461751359504179679340489182850842530241292814783746065987267553752109001638259219280302628901022494406414170997332454620135799522674045917234807859021569143 (164 digits) Fri Dec 01 17:01:06 2023 searching for 15-digit factors Fri Dec 01 17:01:06 2023 commencing number field sieve (164-digit input) Fri Dec 01 17:01:06 2023 R0: -100000000000000000000000000000000000 Fri Dec 01 17:01:06 2023 R1: 1 Fri Dec 01 17:01:06 2023 A0: -1 Fri Dec 01 17:01:06 2023 A1: 0 Fri Dec 01 17:01:06 2023 A2: 0 Fri Dec 01 17:01:06 2023 A3: 0 Fri Dec 01 17:01:06 2023 A4: 0 Fri Dec 01 17:01:06 2023 A5: 0 Fri Dec 01 17:01:06 2023 A6: 1540 Fri Dec 01 17:01:06 2023 skew 0.29, size 1.569e-010, alpha -0.677, combined = 4.583e-012 rroots = 2 Fri Dec 01 17:01:06 2023 Fri Dec 01 17:01:06 2023 commencing square root phase Fri Dec 01 17:01:06 2023 reading relations for dependency 1 Fri Dec 01 17:01:07 2023 read 2350031 cycles Fri Dec 01 17:01:10 2023 cycles contain 7612492 unique relations Fri Dec 01 17:01:52 2023 read 7612492 relations Fri Dec 01 17:02:22 2023 multiplying 7612492 relations Fri Dec 01 17:07:00 2023 multiply complete, coefficients have about 255.47 million bits Fri Dec 01 17:07:00 2023 initial square root is modulo 1472070007 Fri Dec 01 17:11:50 2023 sqrtTime: 644 Fri Dec 01 17:11:50 2023 p45 factor: 232419761876363025676656338871129190560099421 Fri Dec 01 17:11:50 2023 p120 factor: 219181759978096566223731344291493972036442265682899660027241199003310612064315981612846119558260502287144198549441773283 Fri Dec 01 17:11:50 2023 elapsed time 00:10:45

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	280	Cyp	December 10, 2014 20:15:08 UTC 2014 年 12 月 11 日 (木) 5 時 15 分 8 秒 (日本時間)
45	11e6	591 / 4413	Cyp	June 22, 2015 07:30:38 UTC 2015 年 6 月 22 日 (月) 16 時 30 分 38 秒 (日本時間)

154×10²¹²-19

c202

name 名前	Cyp
date 日付	July 28, 2015 20:27:36 UTC 2015 年 7 月 29 日 (水) 5 時 27 分 36 秒 (日本時間)
composite number 合成数	2781625988036869778203121708002949282235446068892810837317357150055533971475326677005752171584673834935868133189668766636757832923575736143508419474376820781632107480019661711220938284556479156452157821<202>
prime factors 素因数	3906708420124432175101524516386602141<37> 712012694294772193403705917832180360550201883417211452595891799514189736712250181790283342075464219503946587139277360840695844612744725007679449238377428258403408481<165>
factorization results 素因数分解の結果	Input number is 2781625988036869778203121708002949282235446068892810837317357150055533971475326677005752171584673834935868133189668766636757832923575736143508419474376820781632107480019661711220938284556479156452157821 (202 digits) Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=132263768 Step 1 took 69777ms Step 2 took 21682ms ********** Factor found in step 2: 3906708420124432175101524516386602141 Found probable prime factor of 37 digits: 3906708420124432175101524516386602141 Probable prime cofactor 712012694294772193403705917832180360550201883417211452595891799514189736712250181790283342075464219503946587139277360840695844612744725007679449238377428258403408481 has 165 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	280 / 2315	Cyp	December 8, 2014 20:52:59 UTC 2014 年 12 月 9 日 (火) 5 時 52 分 59 秒 (日本時間)
45	11e6	1 / 4413	Cyp	July 28, 2015 20:27:35 UTC 2015 年 7 月 29 日 (水) 5 時 27 分 35 秒 (日本時間)

154×10²¹⁶-19

c185

composite cofactor 合成数の残り	55243340291642215714598920062692486557257261688846003059965233294041953005780540179026307902245381011745468462082332292179895509344148939389649747700200619381968426041091984721968008577<185>

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300	Serge Batalov	December 10, 2014 19:49:01 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 1 秒 (日本時間)
45	11e6	585 / 4409	Cyp	January 26, 2015 10:55:53 UTC 2015 年 1 月 26 日 (月) 19 時 55 分 53 秒 (日本時間)

154×10²¹⁷-19

c186

name 名前	Cyp
date 日付	July 29, 2015 09:30:05 UTC 2015 年 7 月 29 日 (水) 18 時 30 分 5 秒 (日本時間)
composite number 合成数	280193327321285956379662459956251692510014267475653112710649276795870304278738651306416938249140369416813637450688466587531601164425729203570341021846561730197874539873154878340133433779<186>
prime factors 素因数	3104771730144935227281845915117316308449<40> 90246031487862757399779741017310108165529129082513444308980573741293845656456467536959237337669808011145241191854750727068412482487250257435761171<146>
factorization results 素因数分解の結果	Run 296 out of 585: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3737144859 Step 1 took 59464ms Step 2 took 19544ms ********** Factor found in step 2: 3104771730144935227281845915117316308449 Found probable prime factor of 40 digits: 3104771730144935227281845915117316308449 Probable prime cofactor 90246031487862757399779741017310108165529129082513444308980573741293845656456467536959237337669808011145241191854750727068412482487250257435761171 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

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300 / 1297	Serge Batalov	December 10, 2014 19:49:01 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 1 秒 (日本時間)
45	11e6	296 / 4409	Cyp	July 29, 2015 09:30:04 UTC 2015 年 7 月 29 日 (水) 18 時 30 分 4 秒 (日本時間)

154×10²¹⁸-19

c183

name 名前	Erik Branger
date 日付	December 6, 2019 17:40:31 UTC 2019 年 12 月 7 日 (土) 2 時 40 分 31 秒 (日本時間)
composite number 合成数	403275090701888843678671780453713576499989630585190583946778862752630883582982842479063800015795049819573504755158536829946387058647846729595056013635727563604735895164876381407413833<183>
prime factors 素因数	696595610281744563580896984863246557613613292776474195471408584381<66> 578922813680638165651367573182836500484478928730395543006584932277496481202725570228815672178137821218093498913594493<117>
factorization results 素因数分解の結果	Number: 17111_218 N = 403275090701888843678671780453713576499989630585190583946778862752630883582982842479063800015795049819573504755158536829946387058647846729595056013635727563604735895164876381407413833 (183 digits) SNFS difficulty: 222 digits. Divisors found: r1=696595610281744563580896984863246557613613292776474195471408584381 (pp66) r2=578922813680638165651367573182836500484478928730395543006584932277496481202725570228815672178137821218093498913594493 (pp117) Version: Msieve v. 1.52 (SVN unknown) Total time: 74.79 hours. Factorization parameters were as follows: n: 403275090701888843678671780453713576499989630585190583946778862752630883582982842479063800015795049819573504755158536829946387058647846729595056013635727563604735895164876381407413833 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 77 c0: -50 skew: 1.00 type: snfs lss: 1 rlim: 536870912 alim: 44739242 lpbr: 29 lpba: 28 mfbr: 58 mfba: 56 rlambda: 2.8 alambda: 2.8 side: 1 Factor base limits: 536870912/44739242 Large primes per side: 3 Large prime bits: 29/28 Relations: 7777726 relations Pruned matrix : 6925365 x 6925590 Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G relations. Total batch smoothness checking time: 33.11 hours. Total relation processing time: 0.42 hours. Matrix solve time: 40.83 hours. time per square root: 0.42 hours. Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000 total time: 74.79 hours. Intel64 Family 6 Model 60 Stepping 3, GenuineIntel Windows-10-10.0.17763-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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300	Serge Batalov	December 10, 2014 19:49:02 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 2 秒 (日本時間)
45	11e6	585 / 4409	Cyp	May 15, 2015 07:30:52 UTC 2015 年 5 月 15 日 (金) 16 時 30 分 52 秒 (日本時間)

154×10²²⁰-19

c217

name 名前	Erik Branger
date 日付	March 3, 2018 14:25:09 UTC 2018 年 3 月 3 日 (土) 23 時 25 分 9 秒 (日本時間)
composite number 合成数	1013649381311859763582737156107928646982122252697525049974889140326592564947609465905508131245215607830902220352894791751000320550161492776431730385061704260552649541257833567986582968189181201674759406370062326272673<217>
prime factors 素因数	743987176437508991054484758214966067167878888813575400332698467<63> 1362455447371546166874421145802224028619859713947973057430462099861107096683269396282436234835112908635295042659735348092246190193071706673694907963845419<154>
factorization results 素因数分解の結果	Number: 17111_220 N = 1013649381311859763582737156107928646982122252697525049974889140326592564947609465905508131245215607830902220352894791751000320550161492776431730385061704260552649541257833567986582968189181201674759406370062326272673 (217 digits) SNFS difficulty: 223 digits. Divisors found: r1=743987176437508991054484758214966067167878888813575400332698467 (pp63) r2=1362455447371546166874421145802224028619859713947973057430462099861107096683269396282436234835112908635295042659735348092246190193071706673694907963845419 (pp154) Version: Msieve v. 1.52 (SVN unknown) Total time: 78.85 hours. Factorization parameters were as follows: n: 1013649381311859763582737156107928646982122252697525049974889140326592564947609465905508131245215607830902220352894791751000320550161492776431730385061704260552649541257833567986582968189181201674759406370062326272673 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 154 c0: -1 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: 30540994 Relations: 8192076 relations Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G rational relations. Total batch smoothness checking time: 41.20 hours. Total relation processing time: 0.28 hours. Pruned matrix : 7295603 x 7295829 Matrix solve time: 37.20 hours. time per square root: 0.17 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: 78.85 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300	Serge Batalov	December 10, 2014 19:49:02 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 2 秒 (日本時間)
45	11e6	585 / 4409	Cyp	July 29, 2015 18:24:19 UTC 2015 年 7 月 30 日 (木) 3 時 24 分 19 秒 (日本時間)

154×10²²¹-19

c167

name 名前	Cyp
date 日付	January 8, 2015 05:11:18 UTC 2015 年 1 月 8 日 (木) 14 時 11 分 18 秒 (日本時間)
composite number 合成数	37932455555562041567936874423765127639440517855142824946965469317772390715926850461208679755966084098075073398273525519561293319446023684003238084912743949774393480283<167>
prime factors 素因数	149020474637096081337802114756710157<36>
composite cofactor 合成数の残り	254545260629034460714904834798505635935722245215375418650803536343104950810973267279185311855018336355817564872546289797975487878919<132>
factorization results 素因数分解の結果	Run 74 out of 329: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=239378157 Step 1 took 50085ms Step 2 took 17370ms ********** Factor found in step 2: 149020474637096081337802114756710157 Found probable prime factor of 36 digits: 149020474637096081337802114756710157 Composite cofactor 254545260629034460714904834798505635935722245215375418650803536343104950810973267279185311855018336355817564872546289797975487878919 has 132 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

c132

name 名前	Erik Branger
date 日付	March 5, 2015 17:02:29 UTC 2015 年 3 月 6 日 (金) 2 時 2 分 29 秒 (日本時間)
composite number 合成数	254545260629034460714904834798505635935722245215375418650803536343104950810973267279185311855018336355817564872546289797975487878919<132>
prime factors 素因数	59112671676520137808441693589283441080057<41> 4306103131693524331597863399145939816771016857556841028030407737231150272661385355605114367<91>
factorization results 素因数分解の結果	Number: 17111_221 N = 254545260629034460714904834798505635935722245215375418650803536343104950810973267279185311855018336355817564872546289797975487878919 (132 digits) Divisors found: r1=59112671676520137808441693589283441080057 (pp41) r2=4306103131693524331597863399145939816771016857556841028030407737231150272661385355605114367 (pp91) Version: Msieve v. 1.52 (SVN 958) Total time: 63.29 hours. Factorization parameters were as follows: # Murphy_E = 6.176e-11, selected by Erik Branger # expecting poly E from 6.83e-011 to > 7.85e-011 n: 254545260629034460714904834798505635935722245215375418650803536343104950810973267279185311855018336355817564872546289797975487878919 Y0: -31444640508940177440482437 Y1: 67859807816579 c0: 59152388351932036490257837094400 c1: -122103053597772709987803266 c2: -3775400028531801624481 c3: 4080435656315031 c4: 13326400851 c5: 8280 skew: 448506.55 type: gnfs # selected mechanically rlim: 10700000 alim: 10700000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.6 alambda: 2.6 Factor base limits: 10700000/10700000 Large primes per side: 3 Large prime bits: 28/28 Sieved algebraic special-q in [0, 0) Total raw relations: 19705935 Relations: 2830050 relations Pruned matrix : 1653195 x 1653421 Polynomial selection time: 0.00 hours. Total sieving time: 61.54 hours. Total relation processing time: 0.09 hours. Matrix solve time: 1.10 hours. time per square root: 0.56 hours. Prototype def-par.txt line would be: gnfs,131,5,65,2000,1e-05,0.28,250,20,50000,3600,10700000,10700000,28,28,54,54,2.6,2.6,100000 total time: 63.29 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	2650	300	Serge Batalov	December 10, 2014 19:49:02 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 2 秒 (日本時間)
40	3e6	2650	2350	Ignacio Santos	February 4, 2015 00:21:54 UTC 2015 年 2 月 4 日 (水) 9 時 21 分 54 秒 (日本時間)
45	11e6	329 / 3889		Cyp	January 8, 2015 05:11:17 UTC 2015 年 1 月 8 日 (木) 14 時 11 分 17 秒 (日本時間)

154×10²²²-19

c216

name 名前	Cyp
date 日付	July 29, 2015 05:53:12 UTC 2015 年 7 月 29 日 (水) 14 時 53 分 12 秒 (日本時間)
composite number 合成数	558950252806847637118926636650529954345487782801107254318071272900931377717387921373222883456741745626828572632440349691037888555402472147681306121849289524685364634228090372339956200585599113496188135308891462310371<216>
prime factors 素因数	3904779240338027097029182443484644367<37> 143145160943454691669441353746068861308962060929695252023968185460044079065561703485339645722962225377513597033817213721159590026515705220027770505655599861954782388153801047320813<180>
factorization results 素因数分解の結果	Run 211 out of 585: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2208835471 Step 1 took 80064ms Step 2 took 23480ms ********** Factor found in step 2: 3904779240338027097029182443484644367 Found probable prime factor of 37 digits: 3904779240338027097029182443484644367 Probable prime cofactor 143145160943454691669441353746068861308962060929695252023968185460044079065561703485339645722962225377513597033817213721159590026515705220027770505655599861954782388153801047320813 has 180 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300 / 1590	Serge Batalov	December 10, 2014 19:49:03 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 3 秒 (日本時間)
45	11e6	211 / 4409	Cyp	July 29, 2015 05:53:12 UTC 2015 年 7 月 29 日 (水) 14 時 53 分 12 秒 (日本時間)

154×10²²⁴-19

c202

name 名前	Cyp
date 日付	December 7, 2014 06:10:57 UTC 2014 年 12 月 7 日 (日) 15 時 10 分 57 秒 (日本時間)
composite number 合成数	1677095665245044984456551298227674830248232361384456485211464920613194115169526753953771006261160907727077796676808803299934692955261910508348484640746724363447174588354349486239265297683445562028529103<202>
prime factors 素因数	513462395690489705663459730003314003<36> 3266248277032506290990586669832294731508141217036840187914750925885346710856445851216370431669982272663020215091841180670442942674213013962845183330468901496270471701<166>
factorization results 素因数分解の結果	Run 135 out of 280: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2712390067 Step 1 took 18967ms Step 2 took 6205ms ********** Factor found in step 2: 513462395690489705663459730003314003 Found probable prime factor of 36 digits: 513462395690489705663459730003314003 Probable prime cofactor 3266248277032506290990586669832294731508141217036840187914750925885346710856445851216370431669982272663020215091841180670442942674213013962845183330468901496270471701 has 166 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
30	25e4	0	-	-
35	1e6	118 / 525	Makoto Kamada	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	135 / 2318	Cyp	December 7, 2014 06:10:57 UTC 2014 年 12 月 7 日 (日) 15 時 10 分 57 秒 (日本時間)

154×10²²⁶-19

c190

name 名前	Cyp
date 日付	July 29, 2015 10:59:54 UTC 2015 年 7 月 29 日 (水) 19 時 59 分 54 秒 (日本時間)
composite number 合成数	3428279986123425853815221339707388968817881617589541881311810914347578404601445500870691370962302532214743847717265906561300163445447224486178261853780278898393524637494736719363876319912247<190>
prime factors 素因数	29484015027253736420168610712957<32>
composite cofactor 合成数の残り	116275886542401823156282193505497809130338969573288046373953841358996419971805890052929377220124486153669451251390418910423259759913302783975088358248224683971<159>
factorization results 素因数分解の結果	Run 95 out of 591: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=44644830 Step 1 took 59088ms Step 2 took 19454ms ********** Factor found in step 2: 29484015027253736420168610712957 Found probable prime factor of 32 digits: 29484015027253736420168610712957 Composite cofactor 116275886542401823156282193505497809130338969573288046373953841358996419971805890052929377220124486153669451251390418910423259759913302783975088358248224683971 has 159 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	280	Cyp	December 8, 2014 01:54:05 UTC 2014 年 12 月 8 日 (月) 10 時 54 分 5 秒 (日本時間)
45	11e6	591	Cyp	July 29, 2015 10:59:54 UTC 2015 年 7 月 29 日 (水) 19 時 59 分 54 秒 (日本時間)
50	43e6	1200 / 7410	Erik Branger	October 24, 2015 08:46:51 UTC 2015 年 10 月 24 日 (土) 17 時 46 分 51 秒 (日本時間)

154×10²²⁸-19

c227

name 名前	Bob Backstrom
date 日付	November 22, 2018 12:18:25 UTC 2018 年 11 月 22 日 (木) 21 時 18 分 25 秒 (日本時間)
composite number 合成数	26611370312770001728011059270779332987731121479177466735787109037497839986175911525833765336098151028166580266113703127700017280110592707793329877311214791774667357871090374978399861759115258337653360981510281665802661137031277<227>
prime factors 素因数	99449738555356065538887595274378861453229766997902858787351<59> 267586126412564539594240115664584118432981911254890311243087905690123182788160954461015423802720433586946202777478063511532485503196027656114123712195298267657023692827<168>
factorization results 素因数分解の結果	Number: n N=26611370312770001728011059270779332987731121479177466735787109037497839986175911525833765336098151028166580266113703127700017280110592707793329877311214791774667357871090374978399861759115258337653360981510281665802661137031277 ( 227 digits) SNFS difficulty: 230 digits. Divisors found: Thu Nov 22 23:13:56 2018 p59 factor: 99449738555356065538887595274378861453229766997902858787351 Thu Nov 22 23:13:56 2018 p168 factor: 267586126412564539594240115664584118432981911254890311243087905690123182788160954461015423802720433586946202777478063511532485503196027656114123712195298267657023692827 Thu Nov 22 23:13:56 2018 elapsed time 15:52:28 (Msieve 1.54 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.124). Factorization parameters were as follows: # # N = 154x10^228-1 = 171(228) # n: 26611370312770001728011059270779332987731121479177466735787109037497839986175911525833765336098151028166580266113703127700017280110592707793329877311214791774667357871090374978399861759115258337653360981510281665802661137031277 m: 100000000000000000000000000000000000000 deg: 6 c6: 154 c0: -1 skew: 0.43 # Murphy_E = 1.371e-12 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, 71200000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 18676034 hash collisions in 114216818 relations (98703463 unique) Msieve: matrix is 5677073 x 5677299 (1990.4 MB) Sieving start time: 2018/11/20 22:18:55 Sieving end time : 2018/11/22 07:18:09 Total sieving time: 32hrs 59min 14secs. Total relation processing time: 14hrs 39min 37sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 32min 59sec. 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	2320		Serge Batalov	December 9, 2014 00:57:52 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 52 秒 (日本時間)
45	11e6	2000 / 3962	1000	Serge Batalov	December 18, 2014 00:18:47 UTC 2014 年 12 月 18 日 (木) 9 時 18 分 47 秒 (日本時間)
45	11e6	2000 / 3962	1000	Serge Batalov	December 21, 2014 10:24:44 UTC 2014 年 12 月 21 日 (日) 19 時 24 分 44 秒 (日本時間)

154×10²²⁹-19

c209

composite cofactor 合成数の残り

18613035488068623231675857112041934990780316696664696476628370716776111346163532090509153229259886939392258771182838076469207632786959613335474638364287092817539616468221705545917752680588152090017322880651581<209>

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	280	Cyp	December 10, 2014 08:35:47 UTC 2014 年 12 月 10 日 (水) 17 時 35 分 47 秒 (日本時間)
45	11e6	591 / 4413	Cyp	July 29, 2015 14:33:31 UTC 2015 年 7 月 29 日 (水) 23 時 33 分 31 秒 (日本時間)

154×10²³²-19

c178

composite cofactor 合成数の残り	2047444668299064341907529236910595417479930005651154572731787975958599667513637098393665110336020136645506889803090030292907195741379901592121288523401441389762896791845451079741<178>

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	280	Cyp	December 10, 2014 03:08:52 UTC 2014 年 12 月 10 日 (水) 12 時 8 分 52 秒 (日本時間)
45	11e6	591 / 4413	Cyp	June 28, 2015 19:19:42 UTC 2015 年 6 月 29 日 (月) 4 時 19 分 42 秒 (日本時間)

154×10²³³-19

c202

name 名前	Cyp
date 日付	December 9, 2014 16:49:50 UTC 2014 年 12 月 10 日 (水) 1 時 49 分 50 秒 (日本時間)
composite number 合成数	2525656889338219356634721198553946111624115371793886176882435417920640788514213368456919621096858040912939680783606539039778655228682494329492599546724171275593678313403793644957481572556097618542567707<202>
prime factors 素因数	15703443691680752288617738484737<32> 160834587554591107367065176232884252912109256160733626794650519575790579272768716421280050860498153399094530244264722036501427009430171267904546947588547924355632939158811<171>
factorization results 素因数分解の結果	Run 17 out of 280: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=76562791 Step 1 took 18960ms ********** Factor found in step 1: 15703443691680752288617738484737 Found probable prime factor of 32 digits: 15703443691680752288617738484737 Probable prime cofactor 160834587554591107367065176232884252912109256160733626794650519575790579272768716421280050860498153399094530244264722036501427009430171267904546947588547924355632939158811 has 171 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
30	25e4	0	-	-
35	1e6	118 / 857	Makoto Kamada	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	17 / 2318	Cyp	December 9, 2014 16:49:50 UTC 2014 年 12 月 10 日 (水) 1 時 49 分 50 秒 (日本時間)

154×10²³⁴-19

c215

composite cofactor 合成数の残り

66942564791902320245747699609677482649214050764711397983950564594991672751199870163488727763607605599368241272827629770009439930380492268824825441133141525438870100344556388851086814417266547732954313921635527148889<215>

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300	Serge Batalov	December 10, 2014 19:49:03 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 3 秒 (日本時間)
45	11e6	585 / 4409	Cyp	May 29, 2015 03:00:06 UTC 2015 年 5 月 29 日 (金) 12 時 0 分 6 秒 (日本時間)

154×10²³⁶-19

c198

name 名前	Cyp
date 日付	January 25, 2015 02:28:10 UTC 2015 年 1 月 25 日 (日) 11 時 28 分 10 秒 (日本時間)
composite number 合成数	461924558563288900053056438986814203641119156035602999055109830715495175631679002583457235826832583810273643580390334830814441931978576599499518962907024259808478524896941732259506206618469809214427<198>
prime factors 素因数	10899516099663734928832490762991640225093<41> 42380281320703761185091689676013858428358600981561416395746540538341321116318439210370221784745827791734384660870172083008916870814745485561298421316808660639<158>
factorization results 素因数分解の結果	Run 125 out of 585: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=230498473 Step 1 took 69089ms Step 2 took 20934ms ********** Factor found in step 2: 10899516099663734928832490762991640225093 Found probable prime factor of 41 digits: 10899516099663734928832490762991640225093 Probable prime cofactor 42380281320703761185091689676013858428358600981561416395746540538341321116318439210370221784745827791734384660870172083008916870814745485561298421316808660639 has 158 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300 / 1887	Serge Batalov	December 10, 2014 19:49:04 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 4 秒 (日本時間)
45	11e6	125 / 4409	Cyp	January 25, 2015 02:28:10 UTC 2015 年 1 月 25 日 (日) 11 時 28 分 10 秒 (日本時間)

154×10²³⁷-19

c170

composite cofactor 合成数の残り	19160237101100764153035463032802492020806057422084990732989079166869692058377056580492376052862696469988097462287926847045511206817291071538023196702163173448748457803977<170>

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300	Serge Batalov	December 10, 2014 19:49:04 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 4 秒 (日本時間)
45	11e6	585 / 4409	Cyp	July 29, 2015 10:35:40 UTC 2015 年 7 月 29 日 (水) 19 時 35 分 40 秒 (日本時間)

154×10²³⁹-19

c241

name 名前	Bob Backstrom
date 日付	February 28, 2019 07:06:29 UTC 2019 年 2 月 28 日 (木) 16 時 6 分 29 秒 (日本時間)
composite number 合成数	1711111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<241>
prime factors 素因数	1336909370645585569236872787960737403227329186606657886659036593039383413579036677215251<88> 1279900604096166781334676354657739045525983023262097330776139554250568775628584358204003391509813666003645846875160985005684043016836336208130613383780861<154>
factorization results 素因数分解の結果	Number: n N=17111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 11111111111111111111111111111111111 ( 241 digits) SNFS difficulty: 241 digits. Divisors found: Thu Feb 28 18:01:00 2019 p88 factor: 1336909370645585569236872787960737403227329186606657886659036593039383413579036677215251 Thu Feb 28 18:01:00 2019 p154 factor: 1279900604096166781334676354657739045525983023262097330776139554250568775628584358204003391509813666003645846875160985005684043016836336208130613383780861 Thu Feb 28 18:01:00 2019 elapsed time 57:54:49 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=1.761). Factorization parameters were as follows: # # N = 154x10^239-1 = 171(239) # n: 1711111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 111111111111111111111111111111111111 m: 10000000000000000000000000000000000000000 deg: 6 c6: 77 c0: -5 skew: 0.63 # Murphy_E = 4.675e-13 type: snfs lss: 1 rlim: 75000000 alim: 75000000 lpbr: 30 lpba: 30 mfbr: 61 mfba: 61 rlambda: 2.7 alambda: 2.7 Factor base limits: 75000000/75000000 Large primes per side: 3 Large prime bits: 30/30 Max factor residue bits: 61/61 Sieved special-q in [100000, 149500000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 24985567 hash collisions in 125413274 relations (102254352 unique) Msieve: matrix is 9593854 x 9594079 (3349.5 MB) Sieving start time: 2019/02/22 06:50:47 Sieving end time : 2019/02/26 08:00:35 Total sieving time: 97hrs 9min 48secs. Total relation processing time: 56hrs 34min 24sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 32min 56sec. Prototype def-par.txt line would be: snfs,241,6,0,0,0,0,0,0,0,0,75000000,75000000,30,30,61,61,2.7,2.7,100000 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: 16285116K/16703460K available (12300K kernel code, 2473K rwdata, 4252K rodata, 2408K init, 2416K bss, 418344K reserved, 0K cma-reserved) [ 0.080546] x86/mm: Memory block size: 128MB [ 0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.39 BogoMIPS (lpj=11976796) [ 0.078209] smpboot: Total of 16 processors activated (95814.36 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	2600	280	Cyp	December 7, 2014 01:34:49 UTC 2014 年 12 月 7 日 (日) 10 時 34 分 49 秒 (日本時間)
40	3e6	2600	2320	Serge Batalov	December 9, 2014 19:26:05 UTC 2014 年 12 月 10 日 (水) 4 時 26 分 5 秒 (日本時間)
45	11e6	4000	1000	Serge Batalov	December 18, 2014 00:19:00 UTC 2014 年 12 月 18 日 (木) 9 時 19 分 0 秒 (日本時間)
			1000	Serge Batalov	December 18, 2014 01:48:50 UTC 2014 年 12 月 18 日 (木) 10 時 48 分 50 秒 (日本時間)
			2000	Serge Batalov	December 20, 2014 04:02:06 UTC 2014 年 12 月 20 日 (土) 13 時 2 分 6 秒 (日本時間)
50	43e6	500 / 1561		Serge Batalov	January 11, 2015 01:24:50 UTC 2015 年 1 月 11 日 (日) 10 時 24 分 50 秒 (日本時間)
55	11e7	0 / 14995		-	-
60	26e7	1000 / 41892		Serge Batalov	May 17, 2017 00:23:42 UTC 2017 年 5 月 17 日 (水) 9 時 23 分 42 秒 (日本時間)

154×10²⁴⁰-19

c200

composite cofactor 合成数の残り

41969216993527854636132813018233111609823100098159464813962185212479942324354618788766362866188552213591693180856136689139130634399547238007421779190592386926540884531931947659880997727281497830872497<200>

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300		Serge Batalov	December 10, 2014 19:49:05 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 5 秒 (日本時間)
45	11e6	585 / 4409	209	Cyp	December 29, 2014 09:41:17 UTC 2014 年 12 月 29 日 (月) 18 時 41 分 17 秒 (日本時間)
45	11e6	585 / 4409	376	Cyp	July 28, 2015 20:25:57 UTC 2015 年 7 月 29 日 (水) 5 時 25 分 57 秒 (日本時間)

154×10²⁴²-19

c244

name 名前	NFS@Home + Greg Childers
date 日付	March 5, 2022 14:04:30 UTC 2022 年 3 月 5 日 (土) 23 時 4 分 30 秒 (日本時間)
composite number 合成数	1711111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<244>
prime factors 素因数	9500072628064393928473311267325568100690701768006203647511<58> 269543774427868738032824388191238541328371244261264435350209882283963907822521466509<84> 668223862533325711373326905642747968125374175385066681251314649018497228858500415924681325515280168789<102>
factorization results 素因数分解の結果	p58 factor: 9500072628064393928473311267325568100690701768006203647511 p84 factor: 269543774427868738032824388191238541328371244261264435350209882283963907822521466509 p102 factor: 668223862533325711373326905642747968125374175385066681251314649018497228858500415924681325515280168789 Complete log at: https://pastebin.com/bArwPHEW
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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	2320		Serge Batalov	December 9, 2014 00:57:58 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 58 秒 (日本時間)
45	11e6	4000	1000	Serge Batalov	December 18, 2014 00:19:03 UTC 2014 年 12 月 18 日 (木) 9 時 19 分 3 秒 (日本時間)
			1000	Serge Batalov	December 18, 2014 01:48:53 UTC 2014 年 12 月 18 日 (木) 10 時 48 分 53 秒 (日本時間)
			2000	Serge Batalov	December 20, 2014 04:02:08 UTC 2014 年 12 月 20 日 (土) 13 時 2 分 8 秒 (日本時間)
50	43e6	500		Serge Batalov	January 11, 2015 01:24:52 UTC 2015 年 1 月 11 日 (日) 10 時 24 分 52 秒 (日本時間)
55	11e7	500		Dmitry Domanov	May 31, 2019 09:48:04 UTC 2019 年 5 月 31 日 (金) 18 時 48 分 4 秒 (日本時間)
60	26e7	10000 / 41703	1000	Serge Batalov	May 17, 2017 00:24:02 UTC 2017 年 5 月 17 日 (水) 9 時 24 分 2 秒 (日本時間)
60	26e7	10000 / 41703	9000	yoyo@Home	February 23, 2022 22:22:56 UTC 2022 年 2 月 24 日 (木) 7 時 22 分 56 秒 (日本時間)

154×10²⁴³-19

c195

name 名前	Cyp
date 日付	December 7, 2014 08:26:22 UTC 2014 年 12 月 7 日 (日) 17 時 26 分 22 秒 (日本時間)
composite number 合成数	982281475164464092413710351330684924875744410872903036725158701753679116557541710795393960336180373202086084405672540144966635044350113373044233666229290989355570141142874818626515194566755245081<195>
prime factors 素因数	610635553869113872543996477<27> 46449838289016715347801197143<29>
composite cofactor 合成数の残り	34631369027801650054013499628003838783532906945486179713898054983632341964216857767836188087826848173795680200052720183165007113308167354171<140>
factorization results 素因数分解の結果	Run 2 out of 280: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1469019814 Step 1 took 18853ms Step 2 took 6263ms ******** Factor found in step 2: 610635553869113872543996477 Found probable prime factor of 27 digits: 610635553869113872543996477 Composite cofactor 1608621491068648665554426484294818741349257870395905035046868611890183376712657840806202132626713809104437316050326836719765817694878487936478594385435221125064674333453 has 169 digits -- Run 12 out of 280: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1022203673 Step 1 took 13464ms Step 2 took 5086ms ******** Factor found in step 2: 46449838289016715347801197143 Found probable prime factor of 29 digits: 46449838289016715347801197143 Composite cofactor 34631369027801650054013499628003838783532906945486179713898054983632341964216857767836188087826848173795680200052720183165007113308167354171 has 140 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

c140

name 名前	Erik Branger
date 日付	July 5, 2016 06:53:07 UTC 2016 年 7 月 5 日 (火) 15 時 53 分 7 秒 (日本時間)
composite number 合成数	34631369027801650054013499628003838783532906945486179713898054983632341964216857767836188087826848173795680200052720183165007113308167354171<140>
prime factors 素因数	5739962807639401563061526557368345727993175396350213<52> 6033378645190914443104055026387480319667453766018547558030932361564106644555811572802367<88>
factorization results 素因数分解の結果	Number: 17111_243 N = 34631369027801650054013499628003838783532906945486179713898054983632341964216857767836188087826848173795680200052720183165007113308167354171 (140 digits) Divisors found: r1=5739962807639401563061526557368345727993175396350213 (pp52) r2=6033378645190914443104055026387480319667453766018547558030932361564106644555811572802367 (pp88) Version: Msieve v. 1.51 (SVN 845) Total time: 305.53 hours. Factorization parameters were as follows: # Murphy_E = 2.15e-11, selected by Erik Branger # expecting poly E from 2.19e-011 to > 2.52e-011 n: 34631369027801650054013499628003838783532906945486179713898054983632341964216857767836188087826848173795680200052720183165007113308167354171 Y0: -2330276784921790694112807983 Y1: 448725170770283 c0: 423448962099538127415294489159990660 c1: -286854713407471618580839420786 c2: -253592940321223832799922 c3: 60437580595124783 c4: 9526733558 c5: 504 skew: 4469504.24 type: gnfs # selected mechanically rlim: 17700000 alim: 17700000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.6 alambda: 2.6 Factor base limits: 17700000/17700000 Large primes per side: 3 Large prime bits: 28/28 Sieved algebraic special-q in [0, 0) Total raw relations: 23165532 Relations: 3262826 relations Pruned matrix : 2057884 x 2058109 Polynomial selection time: 0.00 hours. Total sieving time: 301.30 hours. Total relation processing time: 0.18 hours. Matrix solve time: 3.80 hours. time per square root: 0.24 hours. Prototype def-par.txt line would be: gnfs,139,5,65,2000,1e-05,0.28,250,20,50000,3600,17700000,17700000,28,28,55,55,2.6,2.6,100000 total time: 305.53 hours. Intel64 Family 6 Model 58 Stepping 9, GenuineIntel Windows-post2008Server-6.2.9200 processors: 8, speed: 2.29GHz
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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	2600	280	Cyp	December 7, 2014 08:26:21 UTC 2014 年 12 月 7 日 (日) 17 時 26 分 21 秒 (日本時間)
40	3e6	2600	2320	Serge Batalov	December 9, 2014 19:25:55 UTC 2014 年 12 月 10 日 (水) 4 時 25 分 55 秒 (日本時間)
45	11e6	3988		Ignacio Santos	December 20, 2015 19:07:53 UTC 2015 年 12 月 21 日 (月) 4 時 7 分 53 秒 (日本時間)

154×10²⁴⁴-19

c229

name 名前	Serge Batalov
date 日付	December 10, 2014 22:40:33 UTC 2014 年 12 月 11 日 (木) 7 時 40 分 33 秒 (日本時間)
composite number 合成数	6521040764224739111409285191159922609791635285656759784401722126371271130163666038019354109824271481828748005175656145009924272231906646163442868806473929058776595177769891541763037449130967837539691552988851887165541830345823799<229>
prime factors 素因数	127207898753030805996971983<27> 12131834538532329206059843232477145575663<41> 4225482989019066228716262075170134462242986790764860698559607824754979213876931580601896346958644344215889036596343677957928340066380422862331563509891802663731831<163>
factorization results 素因数分解の結果	Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3469138806 Step 1 took 18089ms Step 2 took 11532ms ******** Factor found in step 2: 127207898753030805996971983 Found probable prime factor of 27 digits: 127207898753030805996971983 -- Input number is 6521040764224739111409285191159922609791635285656759784401722126371271130163666038019354109824271481828748005175656145009924272231906646163442868806473929058776595177769891541763037449130967837539691552988851887165541830345823799 (229 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2731943887 Step 1 took 16897ms Step 2 took 10749ms ******** Factor found in step 2: 12131834538532329206059843232477145575663 Found probable prime factor of 41 digits: 12131834538532329206059843232477145575663

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300 / 2318		Serge Batalov	December 10, 2014 19:49:05 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 5 秒 (日本時間)

154×10²⁴⁵-19

c245

name 名前	Serge Batalov
date 日付	December 18, 2014 02:02:24 UTC 2014 年 12 月 18 日 (木) 11 時 2 分 24 秒 (日本時間)
composite number 合成数	28051001821493624772313296903460837887067395264116575591985428051001821493624772313296903460837887067395264116575591985428051001821493624772313296903460837887067395264116575591985428051001821493624772313296903460837887067395264116575591985428051<245>
prime factors 素因数	14636071385694437032832159358434256198127<41>
composite cofactor 合成数の残り	1916566343678207615368461242648730129410733668213621765892214332687409131229894718118637751342536518544243515822239053544595102186399783511702101070474821344828716569636929083484234693231830831612077301213<205>
factorization results 素因数分解の結果	Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=2530593836 Step 1 took 79926ms Step 2 took 32353ms ********** Factor found in step 2: 14636071385694437032832159358434256198127 Found probable prime factor of 41 digits: 14636071385694437032832159358434256198127 Composite 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	2320		Serge Batalov	December 9, 2014 00:58:00 UTC 2014 年 12 月 9 日 (火) 9 時 58 分 0 秒 (日本時間)
45	11e6	2000 / 3962	1000	Serge Batalov	December 18, 2014 00:19:05 UTC 2014 年 12 月 18 日 (木) 9 時 19 分 5 秒 (日本時間)
45	11e6	2000 / 3962	1000	Serge Batalov	December 18, 2014 01:48:54 UTC 2014 年 12 月 18 日 (木) 10 時 48 分 54 秒 (日本時間)

154×10²⁴⁶-19

c237

composite cofactor 合成数の残り

560559802184208363959322020736760712370318504637766587559847490649935781841543927956478895737990297111410689637472928825276639268197846104657183524435810073233825283335901234673147348538740655421400955725334726354231510578621416733250263<237>

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300		Serge Batalov	December 10, 2014 19:49:06 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 6 秒 (日本時間)
45	11e6	585 / 4409	427	Cyp	July 11, 2015 07:22:25 UTC 2015 年 7 月 11 日 (土) 16 時 22 分 25 秒 (日本時間)
45	11e6	585 / 4409	158	Cyp	July 28, 2015 15:30:29 UTC 2015 年 7 月 29 日 (水) 0 時 30 分 29 秒 (日本時間)

154×10²⁴⁸-19

c203

name 名前	Cyp
date 日付	December 9, 2014 04:57:07 UTC 2014 年 12 月 9 日 (火) 13 時 57 分 7 秒 (日本時間)
composite number 合成数	16429233279392465528401230134161650098901702060885749842001849521385845301389186107685314080691892989878113297538589002940449176557747658544770094297252911079006983718855253451320787046499274299026245141<203>
prime factors 素因数	1427687133083916272823314154404399<34>
composite cofactor 合成数の残り	11507586570388171842004427628227920627804740251704034217742406347642977014186868548333650956637501089748335743751566220445157241750487308597950836407672694964099730974459<170>
factorization results 素因数分解の結果	Run 50 out of 280: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3376802831 Step 1 took 18746ms Step 2 took 6341ms ********** Factor found in step 2: 1427687133083916272823314154404399 Found probable prime factor of 34 digits: 1427687133083916272823314154404399 Composite cofactor 11507586570388171842004427628227920627804740251704034217742406347642977014186868548333650956637501089748335743751566220445157241750487308597950836407672694964099730974459 has 170 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	2600	280	Cyp	December 9, 2014 04:57:07 UTC 2014 年 12 月 9 日 (火) 13 時 57 分 7 秒 (日本時間)
40	3e6	2600	2320	Serge Batalov	December 9, 2014 19:26:01 UTC 2014 年 12 月 10 日 (水) 4 時 26 分 1 秒 (日本時間)
45	11e6	2000		Serge Batalov	December 22, 2014 02:52:46 UTC 2014 年 12 月 22 日 (月) 11 時 52 分 46 秒 (日本時間)
50	43e6	2000 / 7006		Serge Batalov	February 5, 2015 02:55:45 UTC 2015 年 2 月 5 日 (木) 11 時 55 分 45 秒 (日本時間)

154×10²⁵⁰-19

c247

name 名前	Serge Batalov
date 日付	December 9, 2014 01:36:25 UTC 2014 年 12 月 9 日 (火) 10 時 36 分 25 秒 (日本時間)
composite number 合成数	8680115208801862279262979308634460057378943393248674027855278806427794405271197235890585456861518343788926653026485624263740227824842038812515147928327048704464622894085685137275458383356724552889520169994983569781926196474971395074880084772034247<247>
prime factors 素因数	1042842054567810136030114310317<31>
composite cofactor 合成数の残り	8323518571946355422560410505118726888606556442009459186591972574963982812279500661914120306947970886979351560211626159836652177791042369670077780265471154137220457331990792175816084105985458579054673739415734096996291<217>
factorization results 素因数分解の結果	Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3187353333 Step 1 took 20973ms ********** Factor found in step 1: 1042842054567810136030114310317 Found probable prime factor of 31 digits: 1042842054567810136030114310317 Composite 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	2320		Serge Batalov	December 9, 2014 00:58:01 UTC 2014 年 12 月 9 日 (火) 9 時 58 分 1 秒 (日本時間)

154×10²⁵¹-19

c222

composite cofactor 合成数の残り

502173380514283874835560936005105650582095699027555383159002961055519645991993576772121626616719413638946923337271668517913904499828886642945625302916847508719773500820653134860345744884242120213706669473112039377440621649<222>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		Makoto Kamada	December 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	January 16, 2022 10:57:24 UTC 2022 年 1 月 16 日 (日) 19 時 57 分 24 秒 (日本時間)

154×10²⁵²-19

c243

name 名前	Ignacio Santos
date 日付	January 16, 2022 10:58:10 UTC 2022 年 1 月 16 日 (日) 19 時 58 分 10 秒 (日本時間)
composite number 合成数	328981337358262802647210084695520198109826625010583431361362013629121632018033349865072570451869794500115266529526109700187177403070341241314364083217818955355948901528881701045888599973353336690815049096578465948329808173237225290003645224153<243>
prime factors 素因数	98700279854093037092149032080028387791<38> 3333134798043028631652732801062875655781788389878164533799929113266449561064649614999405304846366491689247378922330267122107652697546691868978965024431221908359661654188575950205579971926226037203903162583<205>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3332135289 Step 1 took 13875ms Step 2 took 5485ms ********** Factor found in step 2: 98700279854093037092149032080028387791 Found prime factor of 38 digits: 98700279854093037092149032080028387791 Prime cofactor 3333134798043028631652732801062875655781788389878164533799929113266449561064649614999405304846366491689247378922330267122107652697546691868978965024431221908359661654188575950205579971926226037203903162583 has 205 digits
software ソフトウェア	GMP-ECM

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		Makoto Kamada	December 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)

154×10²⁵³-19

c230

composite cofactor 合成数の残り

27083738670378290543135585665484777093692040157945285774022473054716427044750934533523738653284645460006536549675623743243084538537155310853753646797156489472065893339111681287469833675413120996425974998204131624738523363647303833<230>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		Makoto Kamada	December 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	January 16, 2022 12:07:53 UTC 2022 年 1 月 16 日 (日) 21 時 7 分 53 秒 (日本時間)

154×10²⁵⁴-19

c219

composite cofactor 合成数の残り

981468314374552132556118061790139787005521621327760092086388790669596730234773912796152807905897519610944638179418807613290945027816625656019758069534250103815823482709267010321987558352404276044839548773935545961983593<219>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		Makoto Kamada	December 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	January 16, 2022 12:08:16 UTC 2022 年 1 月 16 日 (日) 21 時 8 分 16 秒 (日本時間)

154×10²⁵⁵-19

c229

composite cofactor 合成数の残り

8758432879366289029445640079362858155867982217417775506061894855750903981969862188033890324452775725164158443644666895828692392696643402370366418749719266144461729488196678445543932667528770762644122688386064078509760685692747561<229>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		Makoto Kamada	December 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	January 16, 2022 12:08:41 UTC 2022 年 1 月 16 日 (日) 21 時 8 分 41 秒 (日本時間)

154×10²⁵⁶-19

c208

composite cofactor 合成数の残り

9470475489853064983329390844467393740881742910599518623283808787990530782372689907218684344703470545952268961350200259642188803201489715851349908163297820242395098034353251591844012106760668923102634106802847<208>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		Makoto Kamada	December 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	January 16, 2022 12:09:04 UTC 2022 年 1 月 16 日 (日) 21 時 9 分 4 秒 (日本時間)

154×10²⁶⁰-19

c235

composite cofactor 合成数の残り

1014749977311182175547658997861502201116018045835122802840691786831648839774861693037637124562710854669698699399488331456160416552543741767238152551066896605818949552774277880292554844402185416944293100810880119426175288869429408344253<235>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		Makoto Kamada	December 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	January 16, 2022 12:09:52 UTC 2022 年 1 月 16 日 (日) 21 時 9 分 52 秒 (日本時間)

154×10²⁶¹-19

c190

composite cofactor 合成数の残り	2524752700393575961337070779047324529954486635222084275687889103104447852656643761632145667200016047352120255744825860461668235792064570316183947982938826865909456821387359420416192764651897<190>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	904	Makoto Kamada	December 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
40	3e6	900	Dmitry Domanov	January 10, 2017 10:11:24 UTC 2017 年 1 月 10 日 (火) 19 時 11 分 24 秒 (日本時間)
45	11e6	360 / 4240	Dmitry Domanov	January 10, 2017 10:25:57 UTC 2017 年 1 月 10 日 (火) 19 時 25 分 57 秒 (日本時間)

154×10²⁶²-19

c229

name 名前	KTakahashi
date 日付	December 19, 2015 20:25:57 UTC 2015 年 12 月 20 日 (日) 5 時 25 分 57 秒 (日本時間)
composite number 合成数	1073746478809078286422867361282365982565310997407277963387051895818638304447693617165193825105282130665416205823992033352689665102119026147740151486783031132773031814832328865600095993142243592690045504679081977508296422520794003<229>
prime factors 素因数	7140378796015882472932953696142409<34> 150376683014099569182736753933687175348447923078901429400471270939173215572301939657727091219372057284256389978422213417556344547964599426020092499663269567500646280701215937261090763684701321467<195>
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 1073746478809078286422867361282365982565310997407277963387051895818638304447693617165193825105282130665416205823992033352689665102119026147740151486783031132773031814832328865600095993142243592690045504679081977508296422520794003 (229 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2924937575 Step 1 took 6989ms Step 2 took 1466ms ********** Factor found in step 2: 7140378796015882472932953696142409 Found probable prime factor of 34 digits: 7140378796015882472932953696142409 Probable prime cofactor 150376683014099569182736753933687175348447923078901429400471270939173215572301939657727091219372057284256389978422213417556344547964599426020092499663269567500646280701215937261090763684701321467 has 195 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		Makoto Kamada	December 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)

154×10²⁶⁴-19

c243

composite cofactor 合成数の残り

118656901044957846090756191894358233121096795667724403087832643785422316699687709623351334080210885385501250732244889006205986512083172245129718386963258594087363658713196838440158738410595024986733248811462548622182861104874644627776846700897<243>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		Makoto Kamada	December 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	January 16, 2022 12:28:09 UTC 2022 年 1 月 16 日 (日) 21 時 28 分 9 秒 (日本時間)

154×10²⁶⁶-19

c257

composite cofactor 合成数の残り

14492277047112642674658946759262163106140797529104709894945471536435214405668922874121393794590183368812418962332176589131940164304810735767113466964209580305574203850882833408554989646146380638051701779376018082705469988653476017658951195025384693089575019<257>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		Makoto Kamada	December 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	January 16, 2022 12:57:28 UTC 2022 年 1 月 16 日 (日) 21 時 57 分 28 秒 (日本時間)

154×10²⁶⁷-19

c228

composite cofactor 合成数の残り

103664303470882497226816948231087129610681673770338115691992348659728256154678156793479342484264905000079691871353060370344727935159995882361931352084251540057195698784449225116117754996637268172911034002239504720491778926833809<228>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		Makoto Kamada	December 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	January 16, 2022 13:11:35 UTC 2022 年 1 月 16 日 (日) 22 時 11 分 35 秒 (日本時間)

154×10²⁶⁸-19

c220

composite cofactor 合成数の残り

3425678209368385667871384958008800646439831494255693837777200229699202433969924109499837946852353547343599271161805161317342388360781760903661721686589912797261487591796499573421097644725334405310606804978645532745719647<220>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		Makoto Kamada	December 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	January 16, 2022 13:13:22 UTC 2022 年 1 月 16 日 (日) 22 時 13 分 22 秒 (日本時間)

154×10²⁶⁹-19

c268

name 名前	KTakahashi
date 日付	December 19, 2015 20:28:00 UTC 2015 年 12 月 20 日 (日) 5 時 28 分 0 秒 (日本時間)
composite number 合成数	3128173877716839325614462725980093438959983749746089782652853950842981921592524883201300020312817387771683932561446272598009343895998374974608978265285395084298192159252488320130002031281738777168393256144627259800934389599837497460897826528539508429819215925248832013<268>
prime factors 素因数	91529334923227541910499068676577588707<38> 34176735582539426575763126109717503258732190660042827908686658341764901857830869138300772680234806975542870112723661975360388748207173985095162634681826636527024820582370464636350114437221363128684676625754045238766291084203866959<230>
factorization results 素因数分解の結果	Input number is 3128173877716839325614462725980093438959983749746089782652853950842981921592524883201300020312817387771683932561446272598009343895998374974608978265285395084298192159252488320130002031281738777168393256144627259800934389599837497460897826528539508429819215925248832013 (268 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1697079074 Step 1 took 8736ms Step 2 took 4461ms ********** Factor found in step 2: 91529334923227541910499068676577588707 Found probable prime factor of 38 digits: 91529334923227541910499068676577588707 Probable prime cofactor
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
35	1e6	904		Makoto Kamada	December 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
40	3e6	600 / 2104		Dmitry Domanov	December 19, 2015 17:02:11 UTC 2015 年 12 月 20 日 (日) 2 時 2 分 11 秒 (日本時間)

154×10²⁷¹-19

c248

composite cofactor 合成数の残り

91600380387406490999740034028438047609494692685877937714749682168576520903106223827753565403850026136987551287658215681415304144553546208700283002742522731084325908482419263489466001927879488721463532321452346300392081615978386545098675446307925119<248>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		Makoto Kamada	December 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	January 16, 2022 13:30:58 UTC 2022 年 1 月 16 日 (日) 22 時 30 分 58 秒 (日本時間)

154×10²⁷⁴-19

c258

composite cofactor 合成数の残り

372403174109940585872512477136915438748967778701552653355108306233877249334831986099225100674691037495272968861520315460893965285673312551629218743441451268628817359195780964784715416095528085760372933463458881662579596976323686912850244642843574826214342491<258>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		Makoto Kamada	December 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	January 16, 2022 13:50:54 UTC 2022 年 1 月 16 日 (日) 22 時 50 分 54 秒 (日本時間)

154×10²⁷⁵-19

c233

composite cofactor 合成数の残り

18343152606579555957254382320768772371098494714989299881980685151725790232618411018022071584268601630674543578627975557252152574598566285073381587324064226975979372945932335864356193319115176021295954995176781455077322711900081447747<233>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		Makoto Kamada	December 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	January 16, 2022 14:17:56 UTC 2022 年 1 月 16 日 (日) 23 時 17 分 56 秒 (日本時間)

154×10²⁷⁷-19

c271

composite cofactor 合成数の残り

1933645233574104685310419476596915324315392057513781312451130020328299335323639394706311426454998257528243723184476288241508733775157959698863081517891267861409051626129156685745580058343827408079939264554785298021671615235225450270920585229181138949663421360812400904841<271>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		Makoto Kamada	December 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	January 16, 2022 14:58:22 UTC 2022 年 1 月 16 日 (日) 23 時 58 分 22 秒 (日本時間)

154×10²⁷⁸-19

c228

composite cofactor 合成数の残り

157189926289332105221045034516167541875836564575502818989441393410100583975175136841952489052946987197451982983813207424759367676365129598499369822908311559510724881855003649554476501688503344539674909818687037512972023855860569<228>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		Makoto Kamada	December 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	January 16, 2022 14:58:35 UTC 2022 年 1 月 16 日 (日) 23 時 58 分 35 秒 (日本時間)

154×10²⁸⁰-19

c259

composite cofactor 合成数の残り

7799950769558445042358532741894481986453564676958173868416720367573731463480627225021162205491360282431866680852884955740922471970584797741041710970908830660559714297166571949322036115252384793336063037619221653721955409915693640388123991059939922525500009953<259>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		Makoto Kamada	December 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	January 16, 2022 14:59:05 UTC 2022 年 1 月 16 日 (日) 23 時 59 分 5 秒 (日本時間)

154×10²⁸¹-19

c215

composite cofactor 合成数の残り

28816745784358175153697559296702537068255196920872687976957594854544535101195171549727116438665278120048250859048933296176631295377973383158646045964700251037967859016387081195091404807264476757758877614794182058853<215>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		Makoto Kamada	December 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	January 16, 2022 15:12:50 UTC 2022 年 1 月 17 日 (月) 0 時 12 分 50 秒 (日本時間)

154×10²⁸³-19

c241

composite cofactor 合成数の残り

1362245698199965130494827912980832236846705432639963049429359280160535787315129795633762547350249977367150562795803635726393227456043147420968454430136555486068241432566649145383280388808091714279835051279433911988324331179458715260481075463<241>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		Makoto Kamada	December 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	January 16, 2022 15:40:55 UTC 2022 年 1 月 17 日 (月) 0 時 40 分 55 秒 (日本時間)

154×10²⁸⁵-19

c241

name 名前	Ignacio Santos
date 日付	January 16, 2022 15:40:27 UTC 2022 年 1 月 17 日 (月) 0 時 40 分 27 秒 (日本時間)
composite number 合成数	4670412783058006764619916177142196711775726836649005524791007227621079335897347309892787405549055996624603546493899390388238705930974585127362789384416251526932208447962622583573555753068748578841098868956951209771539046301073504278269778201<241>
prime factors 素因数	1311170588401197600101814297395304251<37>
composite cofactor 合成数の残り	3562017653822580887839440747431964010810846207677513025703416720004850186441982167707791099152225142296286634520545588643924173208679131040246520381980527712116273240065283059157484091150221783791240811451<205>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:933446836 Step 1 took 9969ms Step 2 took 4656ms ********** Factor found in step 2: 1311170588401197600101814297395304251 Found prime factor of 37 digits: 1311170588401197600101814297395304251 Composite cofactor 3562017653822580887839440747431964010810846207677513025703416720004850186441982167707791099152225142296286634520545588643924173208679131040246520381980527712116273240065283059157484091150221783791240811451 has 205 digits
software ソフトウェア	GMP-ECM

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		Makoto Kamada	December 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	January 17, 2022 17:11:44 UTC 2022 年 1 月 18 日 (火) 2 時 11 分 44 秒 (日本時間)

154×10²⁸⁶-19

c244

composite cofactor 合成数の残り

2647210907796263147700039103619616049772177148360162917819868669592358516068197535053146556539640689439378178557570482191585385792791793040922853281461657399627765039076129963325964407302686592867107283810377339590005040633442915509148988018267<244>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		Makoto Kamada	December 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	January 16, 2022 15:55:27 UTC 2022 年 1 月 17 日 (月) 0 時 55 分 27 秒 (日本時間)

154×10²⁸⁷-19

c286

composite cofactor 合成数の残り

7673143996013951170901843547583457897359242650722471350274040857000498256103637269556552067762830094668659691081215744892874937717987045341305430991529646238166417538614848031888390632785251619332336821126058794220229197807673143996013951170901843547583457897359242650722471350274040857<286>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	904	Makoto Kamada	December 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
40	3e6	600	Dmitry Domanov	December 19, 2015 17:00:18 UTC 2015 年 12 月 20 日 (日) 2 時 0 分 18 秒 (日本時間)
45	11e6	800 / 4306	Dmitry Domanov	January 20, 2016 17:13:25 UTC 2016 年 1 月 21 日 (木) 2 時 13 分 25 秒 (日本時間)

154×10²⁸⁸-19

c272

name 名前	KTakahashi
date 日付	December 19, 2015 20:33:24 UTC 2015 年 12 月 20 日 (日) 5 時 33 分 24 秒 (日本時間)
composite number 合成数	24371437088145034244108907904084296110253697708497370894698752592392483041025279862981573374575659034443255994516104087117969388209596045508088088115524562147180725148821595635000922263729821785194781058202278380170842976809029360166182375886201372726383107400764120745203<272>
prime factors 素因数	52448861539597430225760568122281063<35>
composite cofactor 合成数の残り	464670468962329673665111242722111205693941600552631942502471406311244980843210315473648109200115550840830827268914360669315717745832892759624550422940136640125207543571360728325133920110207464844675798870088387564163864184491041367845781<237>
factorization results 素因数分解の結果	Input number is 24371437088145034244108907904084296110253697708497370894698752592392483041025279862981573374575659034443255994516104087117969388209596045508088088115524562147180725148821595635000922263729821785194781058202278380170842976809029360166182375886201372726383107400764120745203 (272 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=643125480 Step 1 took 10639ms Step 2 took 5164ms ********** Factor found in step 2: 52448861539597430225760568122281063 Found probable prime factor of 35 digits: 52448861539597430225760568122281063 Composite cofactor
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
35	1e6	904		Makoto Kamada	December 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	January 16, 2022 16:38:31 UTC 2022 年 1 月 17 日 (月) 1 時 38 分 31 秒 (日本時間)

154×10²⁸⁹-19

c201

composite cofactor 合成数の残り

240267122077889510670117051896615427750398002513764878612471331220695339383912117343416969927780027974926166796505648574558424817786725222321538176156854317490283041923106914237430566925078016377399069<201>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		Makoto Kamada	December 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	January 16, 2022 16:38:45 UTC 2022 年 1 月 17 日 (月) 1 時 38 分 45 秒 (日本時間)

154×10²⁹⁰-19

c281

composite cofactor 合成数の残り

40126039295136637287277511745867148765443218730260471384049568308570840801006258982793590461786329353465167293537238520521120827711179222035643667040585147780870295508578539566338746390076726552744230834305699585794683347180162333542031034161282675346207847388996445967268553832613<281>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		Makoto Kamada	December 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	January 16, 2022 16:44:24 UTC 2022 年 1 月 17 日 (月) 1 時 44 分 24 秒 (日本時間)

154×10²⁹²-19

c277

composite cofactor 合成数の残り

5480800670181974127434660585943592290637088180169593412700437379085591973899114048430529268332906713542177808265708791200039260815626367433777562108649399685473087328666805150219046966996748200346728079611726957119518770917528047368136253479745873054450387600193321330619872653<277>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		Makoto Kamada	December 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	January 16, 2022 17:03:29 UTC 2022 年 1 月 17 日 (月) 2 時 3 分 29 秒 (日本時間)

154×10²⁹³-19

c240

composite cofactor 合成数の残り

957120807349108822677523929308756698946315225473270007477265813715327707364553353741285456600909463611998596563452803908908475995450674887095442820868335850185216850284630048049092735025431164386613760489427430306918792044847412099581281233<240>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		Makoto Kamada	December 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	January 16, 2022 17:24:45 UTC 2022 年 1 月 17 日 (月) 2 時 24 分 45 秒 (日本時間)

154×10²⁹⁴-19

c292

composite cofactor 合成数の残り

2624001090493959685801427865528463596244611426332021332788086353490432619400569101535211027620167322666939290156588117023633048782565727819523249671999863688255039274821516808942050469423571708497333401489205813695922574928862308098621547479084666632588730426485372045868902179284022559593791<292>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	904	Makoto Kamada	December 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
40	3e6	600	Dmitry Domanov	December 19, 2015 16:59:44 UTC 2015 年 12 月 20 日 (日) 1 時 59 分 44 秒 (日本時間)
45	11e6	800 / 4306	Dmitry Domanov	December 31, 2015 00:24:59 UTC 2015 年 12 月 31 日 (木) 9 時 24 分 59 秒 (日本時間)

154×10²⁹⁵-19

c296

composite cofactor 合成数の残り

57037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037<296>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	904	Makoto Kamada	December 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
40	3e6	600	Dmitry Domanov	December 19, 2015 16:59:29 UTC 2015 年 12 月 20 日 (日) 1 時 59 分 29 秒 (日本時間)
45	11e6	800 / 4306	Dmitry Domanov	December 31, 2015 00:23:46 UTC 2015 年 12 月 31 日 (木) 9 時 23 分 46 秒 (日本時間)

154×10²⁹⁶-19

c241

composite cofactor 合成数の残り

4471849919014106903196238380985785035217532236274533812908509762796520836983866382466848657310070319852090082768074901314136962109167998880983126552372037821512147891694334591262970761780474004498568593951082933294307118558501303532671131169<241>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		Makoto Kamada	December 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	January 16, 2022 17:51:06 UTC 2022 年 1 月 17 日 (月) 2 時 51 分 6 秒 (日本時間)

154×10²⁹⁷-19

c268

composite cofactor 合成数の残り

6387059744980326589661684411699179382915466930702965808180327017688708204611401159620099465892636035795117051150440955389176740831903359147035039866105181601299348575641243436615613006064236747909958926969771310061010080847821065264676725424179676558849670377137904487<268>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		Makoto Kamada	December 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	January 16, 2022 18:09:58 UTC 2022 年 1 月 17 日 (月) 3 時 9 分 58 秒 (日本時間)

154×10²⁹⁸-19

c271

name 名前	Ignacio Santos
date 日付	January 16, 2022 18:14:50 UTC 2022 年 1 月 17 日 (月) 3 時 14 分 50 秒 (日本時間)
composite number 合成数	6184600926111443357059366987977493236400509181788712453174709333619350229047610579800547999077999212886934146125103763709787499625913332296118584713918041396971519491242489349885623694793618889926971535815078257066687988276559607906729452442013868882913402671234515682127<271>
prime factors 素因数	195363544711464292690955736484108692007<39> 31656883249357420068378395017910131603747202559246872382685161408768777478430796944087189776518086707696946456727323336278439248232997360267966109761811941064046624558707084586586654094005994638220565384602087797892925829841407467161<233>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4100948681 Step 1 took 17125ms Step 2 took 6141ms ********** Factor found in step 2: 195363544711464292690955736484108692007 Found prime factor of 39 digits: 195363544711464292690955736484108692007 Prime cofactor 31656883249357420068378395017910131603747202559246872382685161408768777478430796944087189776518086707696946456727323336278439248232997360267966109761811941064046624558707084586586654094005994638220565384602087797892925829841407467161 has 233 digits
software ソフトウェア	GMP-ECM

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		Makoto Kamada	December 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)

154×10²⁹⁹-19

c251

composite cofactor 合成数の残り

46499342877591818923034461398236669878039376990937077296303874434417404497565795500830598924569712938222295494758719539284931225854240397944152847807033892062497616501900945284133973316825311713418714686418296355713117888339948069178939016195818514257<251>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		Makoto Kamada	December 19, 2015 03:00:00 UTC 2015 年 12 月 19 日 (土) 12 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	January 16, 2022 18:29:49 UTC 2022 年 1 月 17 日 (月) 3 時 29 分 49 秒 (日本時間)