Table of contents 目次

1097+1193

c96

name 名前KTakahashi
date 日付December 19, 2014 12:51:23 UTC 2014 年 12 月 19 日 (金) 21 時 51 分 23 秒 (日本時間)
composite number 合成数
114942528735632183908045977011494252873563218390804597701149425287356321839080459770114942528737<96>
prime factors 素因数
15395277123229266774818189288595276793<38>
7466090270125789503224960791190329900783822076238140103209<58>
factorization results 素因数分解の結果
Number: 33373_97
N=114942528735632183908045977011494252873563218390804597701149425287356321839080459770114942528737
  ( 96 digits)
SNFS difficulty: 97 digits.
Divisors found:
 r1=15395277123229266774818189288595276793 (pp38)
 r2=7466090270125789503224960791190329900783822076238140103209 (pp58)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 0.18 hours.
Scaled time: 0.31 units (timescale=1.700).
Factorization parameters were as follows:
n: 114942528735632183908045977011494252873563218390804597701149425287356321839080459770114942528737
m: 1000000000000000000000000
c4: 10
c0: 119
skew: 1.86
type: snfs
Factor base limits: 300000/350000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [150000, 210001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 20637 x 20862
Total sieving time: 0.17 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,97.0000,4,0,0,0,0,0,0,0,0,300000,350000,25,25,43,43,2.1,2.1,10000
total time: 0.18 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)

1099+1193

c99

name 名前KTakahashi
date 日付December 19, 2014 12:52:15 UTC 2014 年 12 月 19 日 (金) 21 時 52 分 15 秒 (日本時間)
composite number 合成数
333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333373<99>
prime factors 素因数
5213601340687670667702052116284117<34>
63935332134421862181488349563242283767565462785201845145512872969<65>
factorization results 素因数分解の結果
Number: 33373_99
N=333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333373
  ( 99 digits)
SNFS difficulty: 99 digits.
Divisors found:
 r1=5213601340687670667702052116284117 (pp34)
 r2=63935332134421862181488349563242283767565462785201845145512872969 (pp65)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 0.23 hours.
Scaled time: 0.40 units (timescale=1.709).
Factorization parameters were as follows:
n: 333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333373
m: 2000000000000000000000000
c4: 125
c0: 238
skew: 1.17
type: snfs
Factor base limits: 300000/350000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [150000, 230001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 24327 x 24555
Total sieving time: 0.22 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,99.0000,4,0,0,0,0,0,0,0,0,300000,350000,25,25,43,43,2.1,2.1,10000
total time: 0.23 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)

10108+1193

c105

name 名前KTakahashi
date 日付December 19, 2014 13:00:32 UTC 2014 年 12 月 19 日 (金) 22 時 0 分 32 秒 (日本時間)
composite number 合成数
186532363365043835105390785301249766834545793695206118261518373437791456817757880992352173102033202760679<105>
prime factors 素因数
11803770621318516168945879730502627<35>
15802777718176941087467253227882410967999570733447267478845434198079277<71>
factorization results 素因数分解の結果
Number: 33373_108
N=186532363365043835105390785301249766834545793695206118261518373437791456817757880992352173102033202760679
  ( 105 digits)
SNFS difficulty: 108 digits.
Divisors found:
 r1=11803770621318516168945879730502627 (pp35)
 r2=15802777718176941087467253227882410967999570733447267478845434198079277 (pp71)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.57 hours.
Scaled time: 2.98 units (timescale=1.897).
Factorization parameters were as follows:
n: 186532363365043835105390785301249766834545793695206118261518373437791456817757880992352173102033202760679
m: 2000000000000000000000
c5: 125
c0: 476
skew: 1.31
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 : 66537 x 66762
Total sieving time: 1.54 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,108.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.57 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)

10116+1193

c98

name 名前KTakahashi
date 日付December 19, 2014 13:17:56 UTC 2014 年 12 月 19 日 (金) 22 時 17 分 56 秒 (日本時間)
composite number 合成数
10877643276271486261675793403658693435292658246289976607998383037099495451306116431016890955175943<98>
prime factors 素因数
1980493781105328415404879087422997306860585973217<49>
5492389514195087279276466056960011463150939765479<49>
factorization results 素因数分解の結果
Number: 33373_116
N=10877643276271486261675793403658693435292658246289976607998383037099495451306116431016890955175943
  ( 98 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=1980493781105328415404879087422997306860585973217 (pp49)
 r2=5492389514195087279276466056960011463150939765479 (pp49)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.56 hours.
Scaled time: 2.73 units (timescale=1.748).
Factorization parameters were as follows:
n: 10877643276271486261675793403658693435292658246289976607998383037099495451306116431016890955175943
m: 100000000000000000000000
c5: 10
c0: 119
skew: 1.64
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 : 120875 x 121104
Total sieving time: 1.47 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,116.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.56 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)

10119+1193

c118

name 名前KTakahashi
date 日付December 19, 2014 13:33:09 UTC 2014 年 12 月 19 日 (金) 22 時 33 分 9 秒 (日本時間)
composite number 合成数
1754385964912280701754385964912280701754385964912280701754385964912280701754385964912280701754385964912280701754385967<118>
prime factors 素因数
28579850641453801342660093560949<32>
61385414042983903585541978313475859579147575631782517514993767209977295999475845332883<86>
factorization results 素因数分解の結果
Number: 33373_119
N=1754385964912280701754385964912280701754385964912280701754385964912280701754385964912280701754385964912280701754385967
  ( 118 digits)
SNFS difficulty: 119 digits.
Divisors found:
 r1=28579850641453801342660093560949 (pp32)
 r2=61385414042983903585541978313475859579147575631782517514993767209977295999475845332883 (pp86)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 2.01 hours.
Scaled time: 3.38 units (timescale=1.678).
Factorization parameters were as follows:
n: 1754385964912280701754385964912280701754385964912280701754385964912280701754385964912280701754385964912280701754385967
m: 500000000000000000000000
c5: 16
c0: 595
skew: 2.06
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, 650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 99597 x 99825
Total sieving time: 1.95 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,119.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.01 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)

10125+1193

c113

name 名前Cyp
date 日付December 20, 2014 02:14:12 UTC 2014 年 12 月 20 日 (土) 11 時 14 分 12 秒 (日本時間)
composite number 合成数
31870698934372382018835305220823353936017777538938980933770425243807997711043761089847842624226657970370018475629<113>
prime factors 素因数
5126991985609779152079369790629894275295791<43>
6216256827361090208831185881519857676286402850996828513156313247491619<70>
factorization results 素因数分解の結果
12/20/14 02:47:55 v1.34.3, 
12/20/14 02:47:55 v1.34.3, ****************************
12/20/14 02:47:55 v1.34.3, Starting factorization of 31870698934372382018835305220823353936017777538938980933770425243807997711043761089847842624226657970370018475629
12/20/14 02:47:55 v1.34.3, using pretesting plan: none
12/20/14 02:47:55 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/20/14 02:47:55 v1.34.3, ****************************
12/20/14 02:47:55 v1.34.3, nfs: commencing nfs on c113: 31870698934372382018835305220823353936017777538938980933770425243807997711043761089847842624226657970370018475629
12/20/14 02:47:55 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/20/14 02:47:55 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 02:49:06 v1.34.3, nfs: commencing lattice sieving with 8 threads
[18 lines snipped]
12/20/14 03:09:58 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 03:11:09 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 03:12:12 v1.34.3, nfs: commencing msieve filtering
12/20/14 03:13:21 v1.34.3, nfs: commencing msieve linear algebra
12/20/14 03:13:54 v1.34.3, nfs: commencing msieve sqrt
12/20/14 03:14:11 v1.34.3, prp43 = 5126991985609779152079369790629894275295791
12/20/14 03:14:11 v1.34.3, prp70 = 6216256827361090208831185881519857676286402850996828513156313247491619
12/20/14 03:14:11 v1.34.3, NFS elapsed time = 1576.2111 seconds.
12/20/14 03:14:11 v1.34.3, 
12/20/14 03:14:11 v1.34.3, 
12/20/14 03:14:11 v1.34.3, Total factoring time = 1576.2120 seconds
--
Sat Dec 20 03:12:12 2014  
Sat Dec 20 03:12:12 2014  commencing relation filtering
Sat Dec 20 03:12:12 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 03:12:12 2014  commencing duplicate removal, pass 1
Sat Dec 20 03:12:33 2014  found 521467 hash collisions in 4545218 relations
Sat Dec 20 03:12:39 2014  added 168190 free relations
Sat Dec 20 03:12:39 2014  commencing duplicate removal, pass 2
Sat Dec 20 03:12:44 2014  found 318009 duplicates and 4395399 unique relations
Sat Dec 20 03:12:44 2014  memory use: 20.6 MB
Sat Dec 20 03:12:44 2014  reading ideals above 100000
Sat Dec 20 03:12:44 2014  commencing singleton removal, initial pass
Sat Dec 20 03:13:15 2014  memory use: 94.1 MB
Sat Dec 20 03:13:15 2014  reading all ideals from disk
Sat Dec 20 03:13:15 2014  memory use: 125.7 MB
Sat Dec 20 03:13:15 2014  keeping 3991454 ideals with weight <= 200, target excess is 33662
Sat Dec 20 03:13:15 2014  commencing in-memory singleton removal
Sat Dec 20 03:13:15 2014  begin with 4395399 relations and 3991454 unique ideals
Sat Dec 20 03:13:16 2014  reduce to 2333933 relations and 1364426 ideals in 7 passes
Sat Dec 20 03:13:16 2014  max relations containing the same ideal: 132
Sat Dec 20 03:13:16 2014  removing 921128 relations and 524885 ideals in 396243 cliques
Sat Dec 20 03:13:17 2014  commencing in-memory singleton removal
Sat Dec 20 03:13:17 2014  begin with 1412805 relations and 1364426 unique ideals
Sat Dec 20 03:13:17 2014  reduce to 1363718 relations and 785376 ideals in 5 passes
Sat Dec 20 03:13:17 2014  max relations containing the same ideal: 89
Sat Dec 20 03:13:17 2014  removing 277354 relations and 149200 ideals in 128154 cliques
Sat Dec 20 03:13:17 2014  commencing in-memory singleton removal
Sat Dec 20 03:13:17 2014  begin with 1086364 relations and 785376 unique ideals
Sat Dec 20 03:13:17 2014  reduce to 1073875 relations and 623033 ideals in 5 passes
Sat Dec 20 03:13:17 2014  max relations containing the same ideal: 81
Sat Dec 20 03:13:17 2014  removing 144238 relations and 75831 ideals in 68407 cliques
Sat Dec 20 03:13:17 2014  commencing in-memory singleton removal
Sat Dec 20 03:13:17 2014  begin with 929637 relations and 623033 unique ideals
Sat Dec 20 03:13:17 2014  reduce to 924464 relations and 541846 ideals in 4 passes
Sat Dec 20 03:13:17 2014  max relations containing the same ideal: 74
Sat Dec 20 03:13:17 2014  removing 92567 relations and 48054 ideals in 44513 cliques
Sat Dec 20 03:13:17 2014  commencing in-memory singleton removal
Sat Dec 20 03:13:17 2014  begin with 831897 relations and 541846 unique ideals
Sat Dec 20 03:13:17 2014  reduce to 829145 relations and 490980 ideals in 4 passes
Sat Dec 20 03:13:17 2014  max relations containing the same ideal: 65
Sat Dec 20 03:13:17 2014  removing 66124 relations and 34017 ideals in 32107 cliques
Sat Dec 20 03:13:17 2014  commencing in-memory singleton removal
Sat Dec 20 03:13:17 2014  begin with 763021 relations and 490980 unique ideals
Sat Dec 20 03:13:18 2014  reduce to 761287 relations and 455198 ideals in 4 passes
Sat Dec 20 03:13:18 2014  max relations containing the same ideal: 62
Sat Dec 20 03:13:18 2014  removing 50843 relations and 26049 ideals in 24794 cliques
Sat Dec 20 03:13:18 2014  commencing in-memory singleton removal
Sat Dec 20 03:13:18 2014  begin with 710444 relations and 455198 unique ideals
Sat Dec 20 03:13:18 2014  reduce to 709413 relations and 428099 ideals in 4 passes
Sat Dec 20 03:13:18 2014  max relations containing the same ideal: 57
Sat Dec 20 03:13:18 2014  removing 41032 relations and 20980 ideals in 20052 cliques
Sat Dec 20 03:13:18 2014  commencing in-memory singleton removal
Sat Dec 20 03:13:18 2014  begin with 668381 relations and 428099 unique ideals
Sat Dec 20 03:13:18 2014  reduce to 667641 relations and 406367 ideals in 4 passes
Sat Dec 20 03:13:18 2014  max relations containing the same ideal: 54
Sat Dec 20 03:13:18 2014  removing 34429 relations and 17524 ideals in 16905 cliques
Sat Dec 20 03:13:18 2014  commencing in-memory singleton removal
Sat Dec 20 03:13:18 2014  begin with 633212 relations and 406367 unique ideals
Sat Dec 20 03:13:18 2014  reduce to 632609 relations and 388229 ideals in 3 passes
Sat Dec 20 03:13:18 2014  max relations containing the same ideal: 53
Sat Dec 20 03:13:18 2014  removing 29921 relations and 15251 ideals in 14670 cliques
Sat Dec 20 03:13:18 2014  commencing in-memory singleton removal
Sat Dec 20 03:13:18 2014  begin with 602688 relations and 388229 unique ideals
Sat Dec 20 03:13:18 2014  reduce to 602214 relations and 372496 ideals in 3 passes
Sat Dec 20 03:13:18 2014  max relations containing the same ideal: 51
Sat Dec 20 03:13:18 2014  removing 26913 relations and 13708 ideals in 13205 cliques
Sat Dec 20 03:13:18 2014  commencing in-memory singleton removal
Sat Dec 20 03:13:18 2014  begin with 575301 relations and 372496 unique ideals
Sat Dec 20 03:13:18 2014  reduce to 574862 relations and 358342 ideals in 3 passes
Sat Dec 20 03:13:18 2014  max relations containing the same ideal: 49
Sat Dec 20 03:13:18 2014  removing 24513 relations and 12457 ideals in 12056 cliques
Sat Dec 20 03:13:18 2014  commencing in-memory singleton removal
Sat Dec 20 03:13:18 2014  begin with 550349 relations and 358342 unique ideals
Sat Dec 20 03:13:18 2014  reduce to 549986 relations and 345516 ideals in 3 passes
Sat Dec 20 03:13:18 2014  max relations containing the same ideal: 48
Sat Dec 20 03:13:18 2014  removing 22365 relations and 11363 ideals in 11002 cliques
Sat Dec 20 03:13:18 2014  commencing in-memory singleton removal
Sat Dec 20 03:13:18 2014  begin with 527621 relations and 345516 unique ideals
Sat Dec 20 03:13:18 2014  reduce to 527233 relations and 333760 ideals in 3 passes
Sat Dec 20 03:13:18 2014  max relations containing the same ideal: 45
Sat Dec 20 03:13:18 2014  removing 21204 relations and 10771 ideals in 10433 cliques
Sat Dec 20 03:13:18 2014  commencing in-memory singleton removal
Sat Dec 20 03:13:18 2014  begin with 506029 relations and 333760 unique ideals
Sat Dec 20 03:13:18 2014  reduce to 505689 relations and 322646 ideals in 3 passes
Sat Dec 20 03:13:18 2014  max relations containing the same ideal: 44
Sat Dec 20 03:13:18 2014  removing 20183 relations and 10244 ideals in 9939 cliques
Sat Dec 20 03:13:18 2014  commencing in-memory singleton removal
Sat Dec 20 03:13:18 2014  begin with 485506 relations and 322646 unique ideals
Sat Dec 20 03:13:18 2014  reduce to 485219 relations and 312111 ideals in 3 passes
Sat Dec 20 03:13:18 2014  max relations containing the same ideal: 44
Sat Dec 20 03:13:18 2014  removing 19560 relations and 9938 ideals in 9622 cliques
Sat Dec 20 03:13:18 2014  commencing in-memory singleton removal
Sat Dec 20 03:13:18 2014  begin with 465659 relations and 312111 unique ideals
Sat Dec 20 03:13:18 2014  reduce to 465338 relations and 301850 ideals in 3 passes
Sat Dec 20 03:13:18 2014  max relations containing the same ideal: 41
Sat Dec 20 03:13:18 2014  removing 19376 relations and 9839 ideals in 9537 cliques
Sat Dec 20 03:13:18 2014  commencing in-memory singleton removal
Sat Dec 20 03:13:18 2014  begin with 445962 relations and 301850 unique ideals
Sat Dec 20 03:13:18 2014  reduce to 445636 relations and 291683 ideals in 3 passes
Sat Dec 20 03:13:18 2014  max relations containing the same ideal: 40
Sat Dec 20 03:13:18 2014  removing 19129 relations and 9735 ideals in 9394 cliques
Sat Dec 20 03:13:18 2014  commencing in-memory singleton removal
Sat Dec 20 03:13:18 2014  begin with 426507 relations and 291683 unique ideals
Sat Dec 20 03:13:18 2014  reduce to 426186 relations and 281623 ideals in 3 passes
Sat Dec 20 03:13:18 2014  max relations containing the same ideal: 39
Sat Dec 20 03:13:18 2014  removing 19184 relations and 9773 ideals in 9411 cliques
Sat Dec 20 03:13:18 2014  commencing in-memory singleton removal
Sat Dec 20 03:13:18 2014  begin with 407002 relations and 281623 unique ideals
Sat Dec 20 03:13:18 2014  reduce to 406646 relations and 271490 ideals in 3 passes
Sat Dec 20 03:13:18 2014  max relations containing the same ideal: 37
Sat Dec 20 03:13:18 2014  removing 19847 relations and 10116 ideals in 9731 cliques
Sat Dec 20 03:13:18 2014  commencing in-memory singleton removal
Sat Dec 20 03:13:18 2014  begin with 386799 relations and 271490 unique ideals
Sat Dec 20 03:13:18 2014  reduce to 386395 relations and 260963 ideals in 3 passes
Sat Dec 20 03:13:18 2014  max relations containing the same ideal: 37
Sat Dec 20 03:13:18 2014  removing 20565 relations and 10498 ideals in 10067 cliques
Sat Dec 20 03:13:18 2014  commencing in-memory singleton removal
Sat Dec 20 03:13:18 2014  begin with 365830 relations and 260963 unique ideals
Sat Dec 20 03:13:18 2014  reduce to 365324 relations and 249954 ideals in 4 passes
Sat Dec 20 03:13:18 2014  max relations containing the same ideal: 35
Sat Dec 20 03:13:19 2014  removing 21472 relations and 10981 ideals in 10491 cliques
Sat Dec 20 03:13:19 2014  commencing in-memory singleton removal
Sat Dec 20 03:13:19 2014  begin with 343852 relations and 249954 unique ideals
Sat Dec 20 03:13:19 2014  reduce to 343280 relations and 238392 ideals in 4 passes
Sat Dec 20 03:13:19 2014  max relations containing the same ideal: 35
Sat Dec 20 03:13:19 2014  removing 22513 relations and 11577 ideals in 10936 cliques
Sat Dec 20 03:13:19 2014  commencing in-memory singleton removal
Sat Dec 20 03:13:19 2014  begin with 320767 relations and 238392 unique ideals
Sat Dec 20 03:13:19 2014  reduce to 320075 relations and 226115 ideals in 4 passes
Sat Dec 20 03:13:19 2014  max relations containing the same ideal: 35
Sat Dec 20 03:13:19 2014  removing 23951 relations and 12324 ideals in 11627 cliques
Sat Dec 20 03:13:19 2014  commencing in-memory singleton removal
Sat Dec 20 03:13:19 2014  begin with 296124 relations and 226115 unique ideals
Sat Dec 20 03:13:19 2014  reduce to 295349 relations and 212999 ideals in 4 passes
Sat Dec 20 03:13:19 2014  max relations containing the same ideal: 33
Sat Dec 20 03:13:19 2014  removing 25656 relations and 13297 ideals in 12359 cliques
Sat Dec 20 03:13:19 2014  commencing in-memory singleton removal
Sat Dec 20 03:13:19 2014  begin with 269693 relations and 212999 unique ideals
Sat Dec 20 03:13:19 2014  reduce to 268638 relations and 198631 ideals in 4 passes
Sat Dec 20 03:13:19 2014  max relations containing the same ideal: 31
Sat Dec 20 03:13:19 2014  removing 27670 relations and 14412 ideals in 13258 cliques
Sat Dec 20 03:13:19 2014  commencing in-memory singleton removal
Sat Dec 20 03:13:19 2014  begin with 240968 relations and 198631 unique ideals
Sat Dec 20 03:13:19 2014  reduce to 239436 relations and 182646 ideals in 4 passes
Sat Dec 20 03:13:19 2014  max relations containing the same ideal: 29
Sat Dec 20 03:13:19 2014  removing 30212 relations and 15896 ideals in 14316 cliques
Sat Dec 20 03:13:19 2014  commencing in-memory singleton removal
Sat Dec 20 03:13:19 2014  begin with 209224 relations and 182646 unique ideals
Sat Dec 20 03:13:19 2014  reduce to 207150 relations and 164605 ideals in 4 passes
Sat Dec 20 03:13:19 2014  max relations containing the same ideal: 26
Sat Dec 20 03:13:19 2014  relations with 0 large ideals: 1185
Sat Dec 20 03:13:19 2014  relations with 1 large ideals: 5860
Sat Dec 20 03:13:19 2014  relations with 2 large ideals: 20951
Sat Dec 20 03:13:19 2014  relations with 3 large ideals: 43446
Sat Dec 20 03:13:19 2014  relations with 4 large ideals: 55657
Sat Dec 20 03:13:19 2014  relations with 5 large ideals: 45964
Sat Dec 20 03:13:19 2014  relations with 6 large ideals: 25081
Sat Dec 20 03:13:19 2014  relations with 7+ large ideals: 9006
Sat Dec 20 03:13:19 2014  commencing 2-way merge
Sat Dec 20 03:13:19 2014  reduce to 189551 relation sets and 147006 unique ideals
Sat Dec 20 03:13:19 2014  commencing full merge
Sat Dec 20 03:13:20 2014  memory use: 15.1 MB
Sat Dec 20 03:13:20 2014  found 83329 cycles, need 75206
Sat Dec 20 03:13:20 2014  weight of 75206 cycles is about 5518352 (73.38/cycle)
Sat Dec 20 03:13:20 2014  distribution of cycle lengths:
Sat Dec 20 03:13:20 2014  1 relations: 4112
Sat Dec 20 03:13:20 2014  2 relations: 5615
Sat Dec 20 03:13:20 2014  3 relations: 6976
Sat Dec 20 03:13:20 2014  4 relations: 7282
Sat Dec 20 03:13:20 2014  5 relations: 7321
Sat Dec 20 03:13:20 2014  6 relations: 6923
Sat Dec 20 03:13:20 2014  7 relations: 6522
Sat Dec 20 03:13:20 2014  8 relations: 5862
Sat Dec 20 03:13:20 2014  9 relations: 5165
Sat Dec 20 03:13:20 2014  10+ relations: 19428
Sat Dec 20 03:13:20 2014  heaviest cycle: 18 relations
Sat Dec 20 03:13:20 2014  commencing cycle optimization
Sat Dec 20 03:13:20 2014  start with 519256 relations
Sat Dec 20 03:13:21 2014  pruned 41345 relations
Sat Dec 20 03:13:21 2014  memory use: 13.2 MB
Sat Dec 20 03:13:21 2014  distribution of cycle lengths:
Sat Dec 20 03:13:21 2014  1 relations: 4112
Sat Dec 20 03:13:21 2014  2 relations: 5971
Sat Dec 20 03:13:21 2014  3 relations: 7670
Sat Dec 20 03:13:21 2014  4 relations: 8081
Sat Dec 20 03:13:21 2014  5 relations: 8200
Sat Dec 20 03:13:21 2014  6 relations: 7873
Sat Dec 20 03:13:21 2014  7 relations: 7246
Sat Dec 20 03:13:21 2014  8 relations: 6175
Sat Dec 20 03:13:21 2014  9 relations: 5288
Sat Dec 20 03:13:21 2014  10+ relations: 14590
Sat Dec 20 03:13:21 2014  heaviest cycle: 17 relations
Sat Dec 20 03:13:21 2014  RelProcTime: 69
Sat Dec 20 03:13:21 2014  
Sat Dec 20 03:13:21 2014  commencing linear algebra
Sat Dec 20 03:13:21 2014  read 75206 cycles
Sat Dec 20 03:13:21 2014  cycles contain 188294 unique relations
Sat Dec 20 03:13:24 2014  read 188294 relations
Sat Dec 20 03:13:24 2014  using 20 quadratic characters above 67085802
Sat Dec 20 03:13:24 2014  building initial matrix
Sat Dec 20 03:13:26 2014  memory use: 23.6 MB
Sat Dec 20 03:13:26 2014  read 75206 cycles
Sat Dec 20 03:13:26 2014  matrix is 75024 x 75206 (21.9 MB) with weight 6751452 (89.77/col)
Sat Dec 20 03:13:26 2014  sparse part has weight 4922742 (65.46/col)
Sat Dec 20 03:13:26 2014  filtering completed in 2 passes
Sat Dec 20 03:13:26 2014  matrix is 74930 x 75112 (21.9 MB) with weight 6747311 (89.83/col)
Sat Dec 20 03:13:26 2014  sparse part has weight 4920766 (65.51/col)
Sat Dec 20 03:13:26 2014  matrix starts at (0, 0)
Sat Dec 20 03:13:26 2014  matrix is 74930 x 75112 (21.9 MB) with weight 6747311 (89.83/col)
Sat Dec 20 03:13:26 2014  sparse part has weight 4920766 (65.51/col)
Sat Dec 20 03:13:26 2014  saving the first 48 matrix rows for later
Sat Dec 20 03:13:26 2014  matrix includes 64 packed rows
Sat Dec 20 03:13:26 2014  matrix is 74882 x 75112 (20.7 MB) with weight 5267888 (70.13/col)
Sat Dec 20 03:13:26 2014  sparse part has weight 4663565 (62.09/col)
Sat Dec 20 03:13:26 2014  using block size 29952 for processor cache size 8192 kB
Sat Dec 20 03:13:26 2014  commencing Lanczos iteration
Sat Dec 20 03:13:26 2014  memory use: 15.0 MB
Sat Dec 20 03:13:43 2014  linear algebra at 64.2%, ETA 0h 0m
Sat Dec 20 03:13:54 2014  lanczos halted after 1185 iterations (dim = 74882)
Sat Dec 20 03:13:54 2014  recovered 37 nontrivial dependencies
Sat Dec 20 03:13:54 2014  BLanczosTime: 33
Sat Dec 20 03:13:54 2014  
Sat Dec 20 03:13:54 2014  commencing square root phase
Sat Dec 20 03:13:54 2014  reading relations for dependency 1
Sat Dec 20 03:13:54 2014  read 37651 cycles
Sat Dec 20 03:13:54 2014  cycles contain 94564 unique relations
Sat Dec 20 03:13:59 2014  read 94564 relations
Sat Dec 20 03:13:59 2014  multiplying 94564 relations
Sat Dec 20 03:14:00 2014  multiply complete, coefficients have about 1.87 million bits
Sat Dec 20 03:14:00 2014  initial square root is modulo 453278831
Sat Dec 20 03:14:03 2014  GCD is 1, no factor found
Sat Dec 20 03:14:03 2014  reading relations for dependency 2
Sat Dec 20 03:14:03 2014  read 37757 cycles
Sat Dec 20 03:14:03 2014  cycles contain 94256 unique relations
Sat Dec 20 03:14:07 2014  read 94256 relations
Sat Dec 20 03:14:07 2014  multiplying 94256 relations
Sat Dec 20 03:14:09 2014  multiply complete, coefficients have about 1.87 million bits
Sat Dec 20 03:14:09 2014  initial square root is modulo 425665621
Sat Dec 20 03:14:11 2014  sqrtTime: 17
--
n: 31870698934372382018835305220823353936017777538938980933770425243807997711043761089847842624226657970370018475629
m: 10000000000000000000000000
deg: 5
c5: 1
c0: 119
skew: 2.60
# Murphy_E = 1.591e-08
type: snfs
lss: 1
rlim: 850000
alim: 850000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
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B1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:01:21 UTC 2014 年 12 月 20 日 (土) 3 時 1 分 21 秒 (日本時間)

10126+1193

c103

name 名前KTakahashi
date 日付December 19, 2014 13:54:08 UTC 2014 年 12 月 19 日 (金) 22 時 54 分 8 秒 (日本時間)
composite number 合成数
1400160973727502139651755087448557175646364213289631073204646708122894448063451744577303651768630257693<103>
prime factors 素因数
31728704079967090249250105999<29>
44129157314418572976264319725088203130303147998434992493799070917256284307<74>
factorization results 素因数分解の結果
Input number is 1400160973727502139651755087448557175646364213289631073204646708122894448063451744577303651768630257693 (103 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2291730907
Step 1 took 2636ms
Step 2 took 1732ms
********** Factor found in step 2: 31728704079967090249250105999
Found probable prime factor of 29 digits: 31728704079967090249250105999
Probable prime cofactor 44129157314418572976264319725088203130303147998434992493799070917256284307 has 74 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)

10130+1193

c113

name 名前Cyp
date 日付December 20, 2014 07:02:32 UTC 2014 年 12 月 20 日 (土) 16 時 2 分 32 秒 (日本時間)
composite number 合成数
63952525775805529898688544732450524373745748249908018894670654040370684506834618096076240992150870825350080203423<113>
prime factors 素因数
630579953345702515851717591450339090152173<42>
101418583696625811319832764983053789830028347783517692841301993885896251<72>
factorization results 素因数分解の結果
12/20/14 07:33:44 v1.34.3, 
12/20/14 07:33:44 v1.34.3, ****************************
12/20/14 07:33:44 v1.34.3, Starting factorization of 63952525775805529898688544732450524373745748249908018894670654040370684506834618096076240992150870825350080203423
12/20/14 07:33:44 v1.34.3, using pretesting plan: none
12/20/14 07:33:44 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/20/14 07:33:44 v1.34.3, ****************************
12/20/14 07:33:44 v1.34.3, nfs: commencing nfs on c113: 63952525775805529898688544732450524373745748249908018894670654040370684506834618096076240992150870825350080203423
12/20/14 07:33:44 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/20/14 07:33:44 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 07:34:33 v1.34.3, nfs: commencing lattice sieving with 8 threads
[23 lines snipped]
12/20/14 07:58:51 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 07:59:32 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 08:00:14 v1.34.3, nfs: commencing msieve filtering
12/20/14 08:01:06 v1.34.3, nfs: commencing msieve linear algebra
12/20/14 08:02:23 v1.34.3, nfs: commencing msieve sqrt
12/20/14 08:02:31 v1.34.3, prp42 = 630579953345702515851717591450339090152173
12/20/14 08:02:31 v1.34.3, prp72 = 101418583696625811319832764983053789830028347783517692841301993885896251
12/20/14 08:02:31 v1.34.3, NFS elapsed time = 1726.9606 seconds.
12/20/14 08:02:31 v1.34.3, 
12/20/14 08:02:31 v1.34.3, 
12/20/14 08:02:31 v1.34.3, Total factoring time = 1726.9615 seconds
--
Sat Dec 20 08:00:14 2014  
Sat Dec 20 08:00:14 2014  commencing relation filtering
Sat Dec 20 08:00:14 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 08:00:14 2014  commencing duplicate removal, pass 1
Sat Dec 20 08:00:25 2014  found 529398 hash collisions in 4516408 relations
Sat Dec 20 08:00:28 2014  added 171497 free relations
Sat Dec 20 08:00:28 2014  commencing duplicate removal, pass 2
Sat Dec 20 08:00:31 2014  found 332488 duplicates and 4355417 unique relations
Sat Dec 20 08:00:31 2014  memory use: 20.6 MB
Sat Dec 20 08:00:31 2014  reading ideals above 100000
Sat Dec 20 08:00:31 2014  commencing singleton removal, initial pass
Sat Dec 20 08:00:53 2014  memory use: 94.1 MB
Sat Dec 20 08:00:53 2014  reading all ideals from disk
Sat Dec 20 08:00:54 2014  memory use: 127.9 MB
Sat Dec 20 08:00:54 2014  keeping 4126346 ideals with weight <= 200, target excess is 23384
Sat Dec 20 08:00:54 2014  commencing in-memory singleton removal
Sat Dec 20 08:00:54 2014  begin with 4355417 relations and 4126346 unique ideals
Sat Dec 20 08:00:57 2014  reduce to 2239907 relations and 1437266 ideals in 9 passes
Sat Dec 20 08:00:57 2014  max relations containing the same ideal: 130
Sat Dec 20 08:00:57 2014  removing 927847 relations and 540089 ideals in 387758 cliques
Sat Dec 20 08:00:58 2014  commencing in-memory singleton removal
Sat Dec 20 08:00:58 2014  begin with 1312060 relations and 1437266 unique ideals
Sat Dec 20 08:00:58 2014  reduce to 1240401 relations and 816789 ideals in 6 passes
Sat Dec 20 08:00:58 2014  max relations containing the same ideal: 81
Sat Dec 20 08:00:59 2014  removing 346896 relations and 191272 ideals in 155624 cliques
Sat Dec 20 08:00:59 2014  commencing in-memory singleton removal
Sat Dec 20 08:00:59 2014  begin with 893505 relations and 816789 unique ideals
Sat Dec 20 08:00:59 2014  reduce to 867589 relations and 597580 ideals in 6 passes
Sat Dec 20 08:00:59 2014  max relations containing the same ideal: 67
Sat Dec 20 08:01:00 2014  removing 188189 relations and 102840 ideals in 85349 cliques
Sat Dec 20 08:01:00 2014  commencing in-memory singleton removal
Sat Dec 20 08:01:00 2014  begin with 679400 relations and 597580 unique ideals
Sat Dec 20 08:01:00 2014  reduce to 664328 relations and 478780 ideals in 7 passes
Sat Dec 20 08:01:00 2014  max relations containing the same ideal: 57
Sat Dec 20 08:01:00 2014  removing 135434 relations and 73707 ideals in 61727 cliques
Sat Dec 20 08:01:00 2014  commencing in-memory singleton removal
Sat Dec 20 08:01:00 2014  begin with 528894 relations and 478780 unique ideals
Sat Dec 20 08:01:00 2014  reduce to 517369 relations and 392833 ideals in 6 passes
Sat Dec 20 08:01:00 2014  max relations containing the same ideal: 50
Sat Dec 20 08:01:00 2014  removing 108054 relations and 58935 ideals in 49119 cliques
Sat Dec 20 08:01:00 2014  commencing in-memory singleton removal
Sat Dec 20 08:01:00 2014  begin with 409315 relations and 392833 unique ideals
Sat Dec 20 08:01:01 2014  reduce to 398644 relations and 322574 ideals in 5 passes
Sat Dec 20 08:01:01 2014  max relations containing the same ideal: 39
Sat Dec 20 08:01:01 2014  removing 92218 relations and 50961 ideals in 41257 cliques
Sat Dec 20 08:01:01 2014  commencing in-memory singleton removal
Sat Dec 20 08:01:01 2014  begin with 306426 relations and 322574 unique ideals
Sat Dec 20 08:01:01 2014  reduce to 294990 relations and 259407 ideals in 5 passes
Sat Dec 20 08:01:01 2014  max relations containing the same ideal: 33
Sat Dec 20 08:01:01 2014  removing 24681 relations and 16224 ideals in 8457 cliques
Sat Dec 20 08:01:01 2014  commencing in-memory singleton removal
Sat Dec 20 08:01:01 2014  begin with 270309 relations and 259407 unique ideals
Sat Dec 20 08:01:01 2014  reduce to 267931 relations and 240725 ideals in 4 passes
Sat Dec 20 08:01:01 2014  max relations containing the same ideal: 29
Sat Dec 20 08:01:01 2014  relations with 0 large ideals: 525
Sat Dec 20 08:01:01 2014  relations with 1 large ideals: 950
Sat Dec 20 08:01:01 2014  relations with 2 large ideals: 7763
Sat Dec 20 08:01:01 2014  relations with 3 large ideals: 29777
Sat Dec 20 08:01:01 2014  relations with 4 large ideals: 63017
Sat Dec 20 08:01:01 2014  relations with 5 large ideals: 76813
Sat Dec 20 08:01:01 2014  relations with 6 large ideals: 58763
Sat Dec 20 08:01:01 2014  relations with 7+ large ideals: 30323
Sat Dec 20 08:01:01 2014  commencing 2-way merge
Sat Dec 20 08:01:01 2014  reduce to 219545 relation sets and 192339 unique ideals
Sat Dec 20 08:01:01 2014  commencing full merge
Sat Dec 20 08:01:04 2014  memory use: 21.9 MB
Sat Dec 20 08:01:04 2014  found 99918 cycles, need 96539
Sat Dec 20 08:01:04 2014  weight of 96539 cycles is about 7198982 (74.57/cycle)
Sat Dec 20 08:01:04 2014  distribution of cycle lengths:
Sat Dec 20 08:01:04 2014  1 relations: 4916
Sat Dec 20 08:01:04 2014  2 relations: 7645
Sat Dec 20 08:01:04 2014  3 relations: 9584
Sat Dec 20 08:01:04 2014  4 relations: 9581
Sat Dec 20 08:01:04 2014  5 relations: 9498
Sat Dec 20 08:01:04 2014  6 relations: 8845
Sat Dec 20 08:01:04 2014  7 relations: 8021
Sat Dec 20 08:01:04 2014  8 relations: 7131
Sat Dec 20 08:01:04 2014  9 relations: 6158
Sat Dec 20 08:01:04 2014  10+ relations: 25160
Sat Dec 20 08:01:04 2014  heaviest cycle: 21 relations
Sat Dec 20 08:01:04 2014  commencing cycle optimization
Sat Dec 20 08:01:04 2014  start with 675927 relations
Sat Dec 20 08:01:06 2014  pruned 41176 relations
Sat Dec 20 08:01:06 2014  memory use: 17.9 MB
Sat Dec 20 08:01:06 2014  distribution of cycle lengths:
Sat Dec 20 08:01:06 2014  1 relations: 4916
Sat Dec 20 08:01:06 2014  2 relations: 7929
Sat Dec 20 08:01:06 2014  3 relations: 10309
Sat Dec 20 08:01:06 2014  4 relations: 10306
Sat Dec 20 08:01:06 2014  5 relations: 10316
Sat Dec 20 08:01:06 2014  6 relations: 9500
Sat Dec 20 08:01:06 2014  7 relations: 8514
Sat Dec 20 08:01:06 2014  8 relations: 7364
Sat Dec 20 08:01:06 2014  9 relations: 6360
Sat Dec 20 08:01:06 2014  10+ relations: 21025
Sat Dec 20 08:01:06 2014  heaviest cycle: 21 relations
Sat Dec 20 08:01:06 2014  RelProcTime: 52
Sat Dec 20 08:01:06 2014  
Sat Dec 20 08:01:06 2014  commencing linear algebra
Sat Dec 20 08:01:06 2014  read 96539 cycles
Sat Dec 20 08:01:06 2014  cycles contain 257634 unique relations
Sat Dec 20 08:01:10 2014  read 257634 relations
Sat Dec 20 08:01:10 2014  using 20 quadratic characters above 67103670
Sat Dec 20 08:01:11 2014  building initial matrix
Sat Dec 20 08:01:14 2014  memory use: 32.8 MB
Sat Dec 20 08:01:14 2014  read 96539 cycles
Sat Dec 20 08:01:14 2014  matrix is 96380 x 96539 (29.1 MB) with weight 8952590 (92.74/col)
Sat Dec 20 08:01:14 2014  sparse part has weight 6578929 (68.15/col)
Sat Dec 20 08:01:15 2014  filtering completed in 2 passes
Sat Dec 20 08:01:15 2014  matrix is 96336 x 96510 (29.1 MB) with weight 8950726 (92.74/col)
Sat Dec 20 08:01:15 2014  sparse part has weight 6577834 (68.16/col)
Sat Dec 20 08:01:15 2014  matrix starts at (0, 0)
Sat Dec 20 08:01:15 2014  matrix is 96336 x 96510 (29.1 MB) with weight 8950726 (92.74/col)
Sat Dec 20 08:01:15 2014  sparse part has weight 6577834 (68.16/col)
Sat Dec 20 08:01:15 2014  saving the first 48 matrix rows for later
Sat Dec 20 08:01:15 2014  matrix includes 64 packed rows
Sat Dec 20 08:01:15 2014  matrix is 96288 x 96510 (27.5 MB) with weight 7050737 (73.06/col)
Sat Dec 20 08:01:15 2014  sparse part has weight 6246684 (64.73/col)
Sat Dec 20 08:01:15 2014  using block size 38515 for processor cache size 8192 kB
Sat Dec 20 08:01:16 2014  commencing Lanczos iteration
Sat Dec 20 08:01:16 2014  memory use: 20.3 MB
Sat Dec 20 08:01:49 2014  linear algebra at 49.9%, ETA 0h 0m
Sat Dec 20 08:02:23 2014  lanczos halted after 1524 iterations (dim = 96288)
Sat Dec 20 08:02:23 2014  recovered 37 nontrivial dependencies
Sat Dec 20 08:02:23 2014  BLanczosTime: 77
Sat Dec 20 08:02:23 2014  
Sat Dec 20 08:02:23 2014  commencing square root phase
Sat Dec 20 08:02:23 2014  reading relations for dependency 1
Sat Dec 20 08:02:23 2014  read 48068 cycles
Sat Dec 20 08:02:23 2014  cycles contain 128464 unique relations
Sat Dec 20 08:02:27 2014  read 128464 relations
Sat Dec 20 08:02:27 2014  multiplying 128464 relations
Sat Dec 20 08:02:29 2014  multiply complete, coefficients have about 2.57 million bits
Sat Dec 20 08:02:29 2014  initial square root is modulo 857951
Sat Dec 20 08:02:31 2014  sqrtTime: 8
--
n: 63952525775805529898688544732450524373745748249908018894670654040370684506834618096076240992150870825350080203423
m: 100000000000000000000000000
deg: 5
c5: 1
c0: 119
skew: 2.60
# Murphy_E = 1.054e-08
type: snfs
lss: 1
rlim: 1030000
alim: 1030000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
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B1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:01:26 UTC 2014 年 12 月 20 日 (土) 3 時 1 分 26 秒 (日本時間)

10131+1193

c112

name 名前Serge Batalov
date 日付December 19, 2014 17:54:42 UTC 2014 年 12 月 20 日 (土) 2 時 54 分 42 秒 (日本時間)
composite number 合成数
4189743775167942703404145014661634008577117480710116266146314765438086267058053665115790101882860742531718535409<112>
prime factors 素因数
8268813650708616269586102019401751<34>
506692247781988935371965377432206816213363210293522361236097746863239871407159<78>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=1063930580
Step 1 took 2354ms
Step 2 took 2142ms
********** Factor found in step 2: 8268813650708616269586102019401751
Found probable prime factor of 34 digits: 8268813650708616269586102019401751
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)

10132+1193

c119

name 名前Jo Yeong Uk
date 日付December 20, 2014 10:29:38 UTC 2014 年 12 月 20 日 (土) 19 時 29 分 38 秒 (日本時間)
composite number 合成数
11368142140734826717789521538432568909823160166958295993382318062455196109336975468546916250498314394496660284572524111<119>
prime factors 素因数
1462509314806205815784469760768839957629<40>
7773039135987449417389590655051249756224309490903546436132706592546637278256059<79>
factorization results 素因数分解の結果
Number: 33373_132
N=11368142140734826717789521538432568909823160166958295993382318062455196109336975468546916250498314394496660284572524111
  ( 119 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=1462509314806205815784469760768839957629
 r2=7773039135987449417389590655051249756224309490903546436132706592546637278256059
Version: 
Total time: 1.05 hours.
Scaled time: 5.47 units (timescale=5.199).
Factorization parameters were as follows:
n: 11368142140734826717789521538432568909823160166958295993382318062455196109336975468546916250498314394496660284572524111
m: 100000000000000000000000000
deg: 5
c5: 100
c0: 119
skew: 1.04
# Murphy_E = 5.755e-09
type: snfs
lss: 1
rlim: 1100000
alim: 1100000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3

Factor base limits: 1100000/1100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [550000, 1000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 2959650
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 170153 x 170401
Total sieving time: 0.89 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,132,5,0,0,0,0,0,0,0,0,1100000,1100000,26,26,47,47,2.3,2.3,25000
total time: 1.05 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B1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:01:28 UTC 2014 年 12 月 20 日 (土) 3 時 1 分 28 秒 (日本時間)

10136+1193

c103

name 名前Cyp
date 日付December 20, 2014 19:26:44 UTC 2014 年 12 月 21 日 (日) 4 時 26 分 44 秒 (日本時間)
composite number 合成数
5848704784878349087787876709581969373415897753673435980628887683813726211186020082664211417615917170297<103>
prime factors 素因数
3280768119227270094836255107704082769119<40>
1782724219551338911722567565910116649148382020221631751975268263<64>
factorization results 素因数分解の結果
12/20/14 18:56:55 v1.34.3, 
12/20/14 18:56:55 v1.34.3, ****************************
12/20/14 18:56:55 v1.34.3, Starting factorization of 5848704784878349087787876709581969373415897753673435980628887683813726211186020082664211417615917170297
12/20/14 18:56:55 v1.34.3, using pretesting plan: none
12/20/14 18:56:55 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/20/14 18:56:55 v1.34.3, ****************************
12/20/14 18:56:55 v1.34.3, nfs: commencing nfs on c103: 5848704784878349087787876709581969373415897753673435980628887683813726211186020082664211417615917170297
12/20/14 18:56:55 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/20/14 18:56:55 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 18:57:19 v1.34.3, nfs: commencing lattice sieving with 8 threads
[202 lines snipped]
12/20/14 20:20:25 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 20:20:47 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 20:21:05 v1.34.3, nfs: commencing msieve filtering
12/20/14 20:21:53 v1.34.3, nfs: commencing msieve linear algebra
12/20/14 20:25:13 v1.34.3, nfs: commencing msieve sqrt
12/20/14 20:26:43 v1.34.3, prp64 = 1782724219551338911722567565910116649148382020221631751975268263
12/20/14 20:26:43 v1.34.3, prp40 = 3280768119227270094836255107704082769119
12/20/14 20:26:43 v1.34.3, NFS elapsed time = 5388.4627 seconds.
12/20/14 20:26:43 v1.34.3, 
12/20/14 20:26:43 v1.34.3, 
12/20/14 20:26:43 v1.34.3, Total factoring time = 5388.4635 seconds
--
Sat Dec 20 20:21:05 2014  
Sat Dec 20 20:21:05 2014  commencing relation filtering
Sat Dec 20 20:21:05 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 20:21:05 2014  commencing duplicate removal, pass 1
Sat Dec 20 20:21:23 2014  found 804996 hash collisions in 4471932 relations
Sat Dec 20 20:21:27 2014  added 172230 free relations
Sat Dec 20 20:21:27 2014  commencing duplicate removal, pass 2
Sat Dec 20 20:21:30 2014  found 718298 duplicates and 3925864 unique relations
Sat Dec 20 20:21:30 2014  memory use: 20.6 MB
Sat Dec 20 20:21:30 2014  reading ideals above 100000
Sat Dec 20 20:21:30 2014  commencing singleton removal, initial pass
Sat Dec 20 20:21:45 2014  memory use: 94.1 MB
Sat Dec 20 20:21:45 2014  reading all ideals from disk
Sat Dec 20 20:21:45 2014  memory use: 120.1 MB
Sat Dec 20 20:21:45 2014  keeping 4269674 ideals with weight <= 200, target excess is 20737
Sat Dec 20 20:21:46 2014  commencing in-memory singleton removal
Sat Dec 20 20:21:46 2014  begin with 3925864 relations and 4269674 unique ideals
Sat Dec 20 20:21:46 2014  reduce to 1643010 relations and 1350441 ideals in 11 passes
Sat Dec 20 20:21:46 2014  max relations containing the same ideal: 110
Sat Dec 20 20:21:47 2014  removing 451500 relations and 317243 ideals in 134257 cliques
Sat Dec 20 20:21:47 2014  commencing in-memory singleton removal
Sat Dec 20 20:21:47 2014  begin with 1191510 relations and 1350441 unique ideals
Sat Dec 20 20:21:47 2014  reduce to 1116532 relations and 950907 ideals in 7 passes
Sat Dec 20 20:21:47 2014  max relations containing the same ideal: 86
Sat Dec 20 20:21:47 2014  removing 372336 relations and 238079 ideals in 134257 cliques
Sat Dec 20 20:21:47 2014  commencing in-memory singleton removal
Sat Dec 20 20:21:47 2014  begin with 744196 relations and 950907 unique ideals
Sat Dec 20 20:21:47 2014  reduce to 685418 relations and 647342 ideals in 8 passes
Sat Dec 20 20:21:47 2014  max relations containing the same ideal: 59
Sat Dec 20 20:21:47 2014  removing 56956 relations and 42935 ideals in 14021 cliques
Sat Dec 20 20:21:47 2014  commencing in-memory singleton removal
Sat Dec 20 20:21:47 2014  begin with 628462 relations and 647342 unique ideals
Sat Dec 20 20:21:48 2014  reduce to 625015 relations and 600881 ideals in 6 passes
Sat Dec 20 20:21:48 2014  max relations containing the same ideal: 55
Sat Dec 20 20:21:48 2014  relations with 0 large ideals: 472
Sat Dec 20 20:21:48 2014  relations with 1 large ideals: 290
Sat Dec 20 20:21:48 2014  relations with 2 large ideals: 4436
Sat Dec 20 20:21:48 2014  relations with 3 large ideals: 28432
Sat Dec 20 20:21:48 2014  relations with 4 large ideals: 92782
Sat Dec 20 20:21:48 2014  relations with 5 large ideals: 167482
Sat Dec 20 20:21:48 2014  relations with 6 large ideals: 181610
Sat Dec 20 20:21:48 2014  relations with 7+ large ideals: 149511
Sat Dec 20 20:21:48 2014  commencing 2-way merge
Sat Dec 20 20:21:48 2014  reduce to 418874 relation sets and 394740 unique ideals
Sat Dec 20 20:21:48 2014  commencing full merge
Sat Dec 20 20:21:51 2014  memory use: 49.3 MB
Sat Dec 20 20:21:51 2014  found 210046 cycles, need 206940
Sat Dec 20 20:21:51 2014  weight of 206940 cycles is about 14575143 (70.43/cycle)
Sat Dec 20 20:21:51 2014  distribution of cycle lengths:
Sat Dec 20 20:21:51 2014  1 relations: 8406
Sat Dec 20 20:21:51 2014  2 relations: 16199
Sat Dec 20 20:21:51 2014  3 relations: 21033
Sat Dec 20 20:21:51 2014  4 relations: 22314
Sat Dec 20 20:21:51 2014  5 relations: 22441
Sat Dec 20 20:21:51 2014  6 relations: 21141
Sat Dec 20 20:21:51 2014  7 relations: 19286
Sat Dec 20 20:21:51 2014  8 relations: 16557
Sat Dec 20 20:21:51 2014  9 relations: 14081
Sat Dec 20 20:21:51 2014  10+ relations: 45482
Sat Dec 20 20:21:51 2014  heaviest cycle: 21 relations
Sat Dec 20 20:21:51 2014  commencing cycle optimization
Sat Dec 20 20:21:52 2014  start with 1386689 relations
Sat Dec 20 20:21:53 2014  pruned 48284 relations
Sat Dec 20 20:21:53 2014  memory use: 40.5 MB
Sat Dec 20 20:21:53 2014  distribution of cycle lengths:
Sat Dec 20 20:21:53 2014  1 relations: 8406
Sat Dec 20 20:21:53 2014  2 relations: 16594
Sat Dec 20 20:21:53 2014  3 relations: 21888
Sat Dec 20 20:21:53 2014  4 relations: 23177
Sat Dec 20 20:21:53 2014  5 relations: 23461
Sat Dec 20 20:21:53 2014  6 relations: 21921
Sat Dec 20 20:21:53 2014  7 relations: 19947
Sat Dec 20 20:21:53 2014  8 relations: 16935
Sat Dec 20 20:21:53 2014  9 relations: 14192
Sat Dec 20 20:21:53 2014  10+ relations: 40419
Sat Dec 20 20:21:53 2014  heaviest cycle: 20 relations
Sat Dec 20 20:21:53 2014  RelProcTime: 48
Sat Dec 20 20:21:53 2014  
Sat Dec 20 20:21:53 2014  commencing linear algebra
Sat Dec 20 20:21:53 2014  read 206940 cycles
Sat Dec 20 20:21:53 2014  cycles contain 613258 unique relations
Sat Dec 20 20:21:57 2014  read 613258 relations
Sat Dec 20 20:21:57 2014  using 20 quadratic characters above 67099784
Sat Dec 20 20:21:59 2014  building initial matrix
Sat Dec 20 20:22:03 2014  memory use: 74.5 MB
Sat Dec 20 20:22:03 2014  read 206940 cycles
Sat Dec 20 20:22:03 2014  matrix is 206763 x 206940 (61.4 MB) with weight 18389412 (88.86/col)
Sat Dec 20 20:22:03 2014  sparse part has weight 13819227 (66.78/col)
Sat Dec 20 20:22:04 2014  filtering completed in 2 passes
Sat Dec 20 20:22:04 2014  matrix is 206744 x 206921 (61.4 MB) with weight 18388493 (88.87/col)
Sat Dec 20 20:22:04 2014  sparse part has weight 13818773 (66.78/col)
Sat Dec 20 20:22:04 2014  matrix starts at (0, 0)
Sat Dec 20 20:22:04 2014  matrix is 206744 x 206921 (61.4 MB) with weight 18388493 (88.87/col)
Sat Dec 20 20:22:04 2014  sparse part has weight 13818773 (66.78/col)
Sat Dec 20 20:22:04 2014  saving the first 48 matrix rows for later
Sat Dec 20 20:22:04 2014  matrix includes 64 packed rows
Sat Dec 20 20:22:04 2014  matrix is 206696 x 206921 (57.5 MB) with weight 14387939 (69.53/col)
Sat Dec 20 20:22:04 2014  sparse part has weight 13014873 (62.90/col)
Sat Dec 20 20:22:04 2014  using block size 65536 for processor cache size 8192 kB
Sat Dec 20 20:22:05 2014  commencing Lanczos iteration (8 threads)
Sat Dec 20 20:22:05 2014  memory use: 54.6 MB
Sat Dec 20 20:22:09 2014  linear algebra at 5.9%, ETA 0h 1m
Sat Dec 20 20:25:13 2014  lanczos halted after 3270 iterations (dim = 206694)
Sat Dec 20 20:25:13 2014  recovered 37 nontrivial dependencies
Sat Dec 20 20:25:13 2014  BLanczosTime: 200
Sat Dec 20 20:25:13 2014  
Sat Dec 20 20:25:13 2014  commencing square root phase
Sat Dec 20 20:25:13 2014  reading relations for dependency 1
Sat Dec 20 20:25:14 2014  read 103788 cycles
Sat Dec 20 20:25:14 2014  cycles contain 307392 unique relations
Sat Dec 20 20:25:19 2014  read 307392 relations
Sat Dec 20 20:25:20 2014  multiplying 307392 relations
Sat Dec 20 20:25:27 2014  multiply complete, coefficients have about 6.98 million bits
Sat Dec 20 20:25:27 2014  initial square root is modulo 106835441
Sat Dec 20 20:25:37 2014  GCD is N, no factor found
Sat Dec 20 20:25:37 2014  reading relations for dependency 2
Sat Dec 20 20:25:37 2014  read 103547 cycles
Sat Dec 20 20:25:37 2014  cycles contain 306352 unique relations
Sat Dec 20 20:25:42 2014  read 306352 relations
Sat Dec 20 20:25:43 2014  multiplying 306352 relations
Sat Dec 20 20:25:50 2014  multiply complete, coefficients have about 6.96 million bits
Sat Dec 20 20:25:50 2014  initial square root is modulo 100022071
Sat Dec 20 20:26:00 2014  GCD is 1, no factor found
Sat Dec 20 20:26:00 2014  reading relations for dependency 3
Sat Dec 20 20:26:00 2014  read 103578 cycles
Sat Dec 20 20:26:00 2014  cycles contain 306206 unique relations
Sat Dec 20 20:26:04 2014  read 306206 relations
Sat Dec 20 20:26:05 2014  multiplying 306206 relations
Sat Dec 20 20:26:12 2014  multiply complete, coefficients have about 6.95 million bits
Sat Dec 20 20:26:12 2014  initial square root is modulo 99323551
Sat Dec 20 20:26:21 2014  Newton iteration failed to converge
Sat Dec 20 20:26:21 2014  algebraic square root failed
Sat Dec 20 20:26:21 2014  reading relations for dependency 4
Sat Dec 20 20:26:21 2014  read 103413 cycles
Sat Dec 20 20:26:21 2014  cycles contain 306650 unique relations
Sat Dec 20 20:26:26 2014  read 306650 relations
Sat Dec 20 20:26:27 2014  multiplying 306650 relations
Sat Dec 20 20:26:34 2014  multiply complete, coefficients have about 6.96 million bits
Sat Dec 20 20:26:34 2014  initial square root is modulo 102200591
Sat Dec 20 20:26:43 2014  sqrtTime: 90
--
n: 5848704784878349087787876709581969373415897753673435980628887683813726211186020082664211417615917170297
m: 1000000000000000000000000000
deg: 5
c5: 10
c0: 119
skew: 1.64
# Murphy_E = 4.098e-09
type: snfs
lss: 1
rlim: 1290000
alim: 1290000
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B1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 19, 2014 14:48:19 UTC 2014 年 12 月 19 日 (金) 23 時 48 分 19 秒 (日本時間)

10137+1193

c125

name 名前Cyp
date 日付December 20, 2014 21:32:51 UTC 2014 年 12 月 21 日 (日) 6 時 32 分 51 秒 (日本時間)
composite number 合成数
39482946816373560438988266518546845896861430241241474943356203647506208610542768658593617052813885975639325727963360754005949<125>
prime factors 素因数
80802105153880594324651735215212468385725449472585404549<56>
488637600978114567573505304241012228258302231127604127417422476528601<69>
factorization results 素因数分解の結果
12/20/14 21:28:11 v1.34.3, 
12/20/14 21:28:11 v1.34.3, ****************************
12/20/14 21:28:11 v1.34.3, Starting factorization of 39482946816373560438988266518546845896861430241241474943356203647506208610542768658593617052813885975639325727963360754005949
12/20/14 21:28:11 v1.34.3, using pretesting plan: none
12/20/14 21:28:11 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/20/14 21:28:11 v1.34.3, ****************************
12/20/14 21:28:11 v1.34.3, nfs: commencing nfs on c125: 39482946816373560438988266518546845896861430241241474943356203647506208610542768658593617052813885975639325727963360754005949
12/20/14 21:28:11 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/20/14 21:28:11 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 21:29:28 v1.34.3, nfs: commencing lattice sieving with 8 threads
[40 lines snipped]
12/20/14 22:24:36 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 22:26:06 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 22:27:32 v1.34.3, nfs: commencing msieve filtering
12/20/14 22:28:57 v1.34.3, nfs: commencing msieve linear algebra
12/20/14 22:32:30 v1.34.3, nfs: commencing msieve sqrt
12/20/14 22:32:50 v1.34.3, prp69 = 488637600978114567573505304241012228258302231127604127417422476528601
12/20/14 22:32:51 v1.34.3, prp56 = 80802105153880594324651735215212468385725449472585404549
12/20/14 22:32:51 v1.34.3, NFS elapsed time = 3879.9507 seconds.
12/20/14 22:32:51 v1.34.3, 
12/20/14 22:32:51 v1.34.3, 
12/20/14 22:32:51 v1.34.3, Total factoring time = 3879.9517 seconds
--
Sat Dec 20 22:27:32 2014  
Sat Dec 20 22:27:32 2014  commencing relation filtering
Sat Dec 20 22:27:32 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 22:27:32 2014  commencing duplicate removal, pass 1
Sat Dec 20 22:27:55 2014  found 628063 hash collisions in 4511513 relations
Sat Dec 20 22:28:02 2014  added 175876 free relations
Sat Dec 20 22:28:02 2014  commencing duplicate removal, pass 2
Sat Dec 20 22:28:08 2014  found 463815 duplicates and 4223574 unique relations
Sat Dec 20 22:28:08 2014  memory use: 20.6 MB
Sat Dec 20 22:28:08 2014  reading ideals above 100000
Sat Dec 20 22:28:08 2014  commencing singleton removal, initial pass
Sat Dec 20 22:28:43 2014  memory use: 94.1 MB
Sat Dec 20 22:28:43 2014  reading all ideals from disk
Sat Dec 20 22:28:43 2014  memory use: 130.5 MB
Sat Dec 20 22:28:43 2014  keeping 4350485 ideals with weight <= 200, target excess is 22657
Sat Dec 20 22:28:43 2014  commencing in-memory singleton removal
Sat Dec 20 22:28:44 2014  begin with 4223574 relations and 4350485 unique ideals
Sat Dec 20 22:28:46 2014  reduce to 1967176 relations and 1490412 ideals in 10 passes
Sat Dec 20 22:28:46 2014  max relations containing the same ideal: 120
Sat Dec 20 22:28:47 2014  removing 638909 relations and 413668 ideals in 225241 cliques
Sat Dec 20 22:28:47 2014  commencing in-memory singleton removal
Sat Dec 20 22:28:47 2014  begin with 1328267 relations and 1490412 unique ideals
Sat Dec 20 22:28:47 2014  reduce to 1230005 relations and 966195 ideals in 7 passes
Sat Dec 20 22:28:47 2014  max relations containing the same ideal: 84
Sat Dec 20 22:28:48 2014  removing 548282 relations and 323041 ideals in 225241 cliques
Sat Dec 20 22:28:48 2014  commencing in-memory singleton removal
Sat Dec 20 22:28:48 2014  begin with 681723 relations and 966195 unique ideals
Sat Dec 20 22:28:48 2014  reduce to 597340 relations and 546895 ideals in 8 passes
Sat Dec 20 22:28:48 2014  max relations containing the same ideal: 53
Sat Dec 20 22:28:49 2014  removing 88050 relations and 63888 ideals in 24162 cliques
Sat Dec 20 22:28:49 2014  commencing in-memory singleton removal
Sat Dec 20 22:28:49 2014  begin with 509290 relations and 546895 unique ideals
Sat Dec 20 22:28:49 2014  reduce to 496230 relations and 469323 ideals in 6 passes
Sat Dec 20 22:28:49 2014  max relations containing the same ideal: 47
Sat Dec 20 22:28:49 2014  relations with 0 large ideals: 532
Sat Dec 20 22:28:49 2014  relations with 1 large ideals: 353
Sat Dec 20 22:28:49 2014  relations with 2 large ideals: 4680
Sat Dec 20 22:28:49 2014  relations with 3 large ideals: 27136
Sat Dec 20 22:28:49 2014  relations with 4 large ideals: 80426
Sat Dec 20 22:28:49 2014  relations with 5 large ideals: 133614
Sat Dec 20 22:28:49 2014  relations with 6 large ideals: 138424
Sat Dec 20 22:28:49 2014  relations with 7+ large ideals: 111065
Sat Dec 20 22:28:49 2014  commencing 2-way merge
Sat Dec 20 22:28:49 2014  reduce to 343243 relation sets and 316336 unique ideals
Sat Dec 20 22:28:49 2014  commencing full merge
Sat Dec 20 22:28:54 2014  memory use: 39.9 MB
Sat Dec 20 22:28:54 2014  found 170323 cycles, need 166536
Sat Dec 20 22:28:54 2014  weight of 166536 cycles is about 11695205 (70.23/cycle)
Sat Dec 20 22:28:54 2014  distribution of cycle lengths:
Sat Dec 20 22:28:54 2014  1 relations: 9470
Sat Dec 20 22:28:54 2014  2 relations: 15153
Sat Dec 20 22:28:54 2014  3 relations: 18530
Sat Dec 20 22:28:54 2014  4 relations: 18621
Sat Dec 20 22:28:54 2014  5 relations: 17968
Sat Dec 20 22:28:54 2014  6 relations: 15870
Sat Dec 20 22:28:54 2014  7 relations: 13919
Sat Dec 20 22:28:54 2014  8 relations: 11785
Sat Dec 20 22:28:54 2014  9 relations: 9948
Sat Dec 20 22:28:54 2014  10+ relations: 35272
Sat Dec 20 22:28:54 2014  heaviest cycle: 21 relations
Sat Dec 20 22:28:54 2014  commencing cycle optimization
Sat Dec 20 22:28:55 2014  start with 1079250 relations
Sat Dec 20 22:28:56 2014  pruned 43106 relations
Sat Dec 20 22:28:56 2014  memory use: 31.5 MB
Sat Dec 20 22:28:56 2014  distribution of cycle lengths:
Sat Dec 20 22:28:56 2014  1 relations: 9470
Sat Dec 20 22:28:56 2014  2 relations: 15540
Sat Dec 20 22:28:56 2014  3 relations: 19353
Sat Dec 20 22:28:56 2014  4 relations: 19464
Sat Dec 20 22:28:56 2014  5 relations: 18813
Sat Dec 20 22:28:56 2014  6 relations: 16562
Sat Dec 20 22:28:56 2014  7 relations: 14357
Sat Dec 20 22:28:56 2014  8 relations: 11998
Sat Dec 20 22:28:56 2014  9 relations: 9882
Sat Dec 20 22:28:56 2014  10+ relations: 31097
Sat Dec 20 22:28:56 2014  heaviest cycle: 20 relations
Sat Dec 20 22:28:57 2014  RelProcTime: 85
Sat Dec 20 22:28:57 2014  
Sat Dec 20 22:28:57 2014  commencing linear algebra
Sat Dec 20 22:28:57 2014  read 166536 cycles
Sat Dec 20 22:28:57 2014  cycles contain 479677 unique relations
Sat Dec 20 22:29:03 2014  read 479677 relations
Sat Dec 20 22:29:03 2014  using 20 quadratic characters above 67054718
Sat Dec 20 22:29:05 2014  building initial matrix
Sat Dec 20 22:29:10 2014  memory use: 59.8 MB
Sat Dec 20 22:29:11 2014  read 166536 cycles
Sat Dec 20 22:29:11 2014  matrix is 166359 x 166536 (49.0 MB) with weight 14690299 (88.21/col)
Sat Dec 20 22:29:11 2014  sparse part has weight 11014902 (66.14/col)
Sat Dec 20 22:29:12 2014  filtering completed in 2 passes
Sat Dec 20 22:29:12 2014  matrix is 166305 x 166482 (49.0 MB) with weight 14688056 (88.23/col)
Sat Dec 20 22:29:12 2014  sparse part has weight 11013917 (66.16/col)
Sat Dec 20 22:29:12 2014  matrix starts at (0, 0)
Sat Dec 20 22:29:12 2014  matrix is 166305 x 166482 (49.0 MB) with weight 14688056 (88.23/col)
Sat Dec 20 22:29:12 2014  sparse part has weight 11013917 (66.16/col)
Sat Dec 20 22:29:12 2014  saving the first 48 matrix rows for later
Sat Dec 20 22:29:12 2014  matrix includes 64 packed rows
Sat Dec 20 22:29:12 2014  matrix is 166257 x 166482 (46.1 MB) with weight 11587458 (69.60/col)
Sat Dec 20 22:29:12 2014  sparse part has weight 10418980 (62.58/col)
Sat Dec 20 22:29:12 2014  using block size 65536 for processor cache size 8192 kB
Sat Dec 20 22:29:13 2014  commencing Lanczos iteration
Sat Dec 20 22:29:13 2014  memory use: 34.7 MB
Sat Dec 20 22:29:30 2014  linear algebra at 7.3%, ETA 0h 3m
Sat Dec 20 22:32:30 2014  lanczos halted after 2630 iterations (dim = 166252)
Sat Dec 20 22:32:30 2014  recovered 36 nontrivial dependencies
Sat Dec 20 22:32:30 2014  BLanczosTime: 213
Sat Dec 20 22:32:30 2014  
Sat Dec 20 22:32:30 2014  commencing square root phase
Sat Dec 20 22:32:30 2014  reading relations for dependency 1
Sat Dec 20 22:32:30 2014  read 83385 cycles
Sat Dec 20 22:32:30 2014  cycles contain 239740 unique relations
Sat Dec 20 22:32:35 2014  read 239740 relations
Sat Dec 20 22:32:36 2014  multiplying 239740 relations
Sat Dec 20 22:32:42 2014  multiply complete, coefficients have about 6.32 million bits
Sat Dec 20 22:32:42 2014  initial square root is modulo 18657491
Sat Dec 20 22:32:50 2014  sqrtTime: 20
--
n: 39482946816373560438988266518546845896861430241241474943356203647506208610542768658593617052813885975639325727963360754005949
m: 1000000000000000000000000000
deg: 5
c5: 100
c0: 119
skew: 1.04
# Murphy_E = 3.787e-09
type: snfs
lss: 1
rlim: 1340000
alim: 1340000
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B1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)

10138+1193

c113

name 名前Cyp
date 日付December 21, 2014 01:20:23 UTC 2014 年 12 月 21 日 (日) 10 時 20 分 23 秒 (日本時間)
composite number 合成数
24527820749410266204090760932424932951145545421354353841493673362965759284991118556680857473336004128607498531673<113>
prime factors 素因数
10499791020142120457141836060616356123<38>
2336029422143515065380696066560942331775785595910183592798379157515346077851<76>
factorization results 素因数分解の結果
12/21/14 01:01:39 v1.34.3, 
12/21/14 01:01:39 v1.34.3, ****************************
12/21/14 01:01:39 v1.34.3, Starting factorization of 24527820749410266204090760932424932951145545421354353841493673362965759284991118556680857473336004128607498531673
12/21/14 01:01:39 v1.34.3, using pretesting plan: none
12/21/14 01:01:39 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/21/14 01:01:39 v1.34.3, ****************************
12/21/14 01:01:39 v1.34.3, nfs: commencing nfs on c113: 24527820749410266204090760932424932951145545421354353841493673362965759284991118556680857473336004128607498531673
12/21/14 01:01:39 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/21/14 01:01:39 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 01:02:44 v1.34.3, nfs: commencing lattice sieving with 8 threads
[67 lines snipped]
12/21/14 02:11:48 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 02:12:26 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 02:13:04 v1.34.3, nfs: commencing msieve filtering
12/21/14 02:14:15 v1.34.3, nfs: commencing msieve linear algebra
12/21/14 02:19:06 v1.34.3, nfs: commencing msieve sqrt
12/21/14 02:20:23 v1.34.3, prp38 = 10499791020142120457141836060616356123
12/21/14 02:20:23 v1.34.3, prp76 = 2336029422143515065380696066560942331775785595910183592798379157515346077851
12/21/14 02:20:23 v1.34.3, NFS elapsed time = 4723.8727 seconds.
12/21/14 02:20:23 v1.34.3, 
12/21/14 02:20:23 v1.34.3, 
12/21/14 02:20:23 v1.34.3, Total factoring time = 4723.8759 seconds
--
Sun Dec 21 02:13:04 2014  
Sun Dec 21 02:13:04 2014  commencing relation filtering
Sun Dec 21 02:13:04 2014  estimated available RAM is 15987.3 MB
Sun Dec 21 02:13:04 2014  commencing duplicate removal, pass 1
Sun Dec 21 02:13:23 2014  found 677634 hash collisions in 4519890 relations
Sun Dec 21 02:13:27 2014  added 176745 free relations
Sun Dec 21 02:13:27 2014  commencing duplicate removal, pass 2
Sun Dec 21 02:13:30 2014  found 531010 duplicates and 4165625 unique relations
Sun Dec 21 02:13:30 2014  memory use: 20.6 MB
Sun Dec 21 02:13:30 2014  reading ideals above 100000
Sun Dec 21 02:13:30 2014  commencing singleton removal, initial pass
Sun Dec 21 02:13:57 2014  memory use: 94.1 MB
Sun Dec 21 02:13:57 2014  reading all ideals from disk
Sun Dec 21 02:13:57 2014  memory use: 130.7 MB
Sun Dec 21 02:13:58 2014  keeping 4410169 ideals with weight <= 200, target excess is 22413
Sun Dec 21 02:13:58 2014  commencing in-memory singleton removal
Sun Dec 21 02:13:58 2014  begin with 4165625 relations and 4410169 unique ideals
Sun Dec 21 02:14:01 2014  reduce to 1856997 relations and 1482303 ideals in 12 passes
Sun Dec 21 02:14:01 2014  max relations containing the same ideal: 115
Sun Dec 21 02:14:02 2014  removing 544604 relations and 370257 ideals in 174347 cliques
Sun Dec 21 02:14:02 2014  commencing in-memory singleton removal
Sun Dec 21 02:14:02 2014  begin with 1312393 relations and 1482303 unique ideals
Sun Dec 21 02:14:03 2014  reduce to 1219356 relations and 1008644 ideals in 7 passes
Sun Dec 21 02:14:03 2014  max relations containing the same ideal: 86
Sun Dec 21 02:14:04 2014  removing 462530 relations and 288183 ideals in 174347 cliques
Sun Dec 21 02:14:04 2014  commencing in-memory singleton removal
Sun Dec 21 02:14:04 2014  begin with 756826 relations and 1008644 unique ideals
Sun Dec 21 02:14:04 2014  reduce to 675571 relations and 628352 ideals in 8 passes
Sun Dec 21 02:14:04 2014  max relations containing the same ideal: 61
Sun Dec 21 02:14:04 2014  removing 82150 relations and 60931 ideals in 21219 cliques
Sun Dec 21 02:14:04 2014  commencing in-memory singleton removal
Sun Dec 21 02:14:05 2014  begin with 593421 relations and 628352 unique ideals
Sun Dec 21 02:14:05 2014  reduce to 584900 relations and 558614 ideals in 6 passes
Sun Dec 21 02:14:05 2014  max relations containing the same ideal: 52
Sun Dec 21 02:14:05 2014  relations with 0 large ideals: 485
Sun Dec 21 02:14:05 2014  relations with 1 large ideals: 274
Sun Dec 21 02:14:05 2014  relations with 2 large ideals: 3750
Sun Dec 21 02:14:05 2014  relations with 3 large ideals: 24973
Sun Dec 21 02:14:05 2014  relations with 4 large ideals: 81819
Sun Dec 21 02:14:05 2014  relations with 5 large ideals: 151854
Sun Dec 21 02:14:05 2014  relations with 6 large ideals: 170526
Sun Dec 21 02:14:05 2014  relations with 7+ large ideals: 151219
Sun Dec 21 02:14:05 2014  commencing 2-way merge
Sun Dec 21 02:14:05 2014  reduce to 383820 relation sets and 357534 unique ideals
Sun Dec 21 02:14:05 2014  commencing full merge
Sun Dec 21 02:14:12 2014  memory use: 47.2 MB
Sun Dec 21 02:14:12 2014  found 195253 cycles, need 191734
Sun Dec 21 02:14:12 2014  weight of 191734 cycles is about 13788986 (71.92/cycle)
Sun Dec 21 02:14:12 2014  distribution of cycle lengths:
Sun Dec 21 02:14:12 2014  1 relations: 9492
Sun Dec 21 02:14:12 2014  2 relations: 15819
Sun Dec 21 02:14:12 2014  3 relations: 19430
Sun Dec 21 02:14:12 2014  4 relations: 20579
Sun Dec 21 02:14:12 2014  5 relations: 20326
Sun Dec 21 02:14:12 2014  6 relations: 19323
Sun Dec 21 02:14:12 2014  7 relations: 17426
Sun Dec 21 02:14:12 2014  8 relations: 14986
Sun Dec 21 02:14:12 2014  9 relations: 12774
Sun Dec 21 02:14:12 2014  10+ relations: 41579
Sun Dec 21 02:14:12 2014  heaviest cycle: 21 relations
Sun Dec 21 02:14:12 2014  commencing cycle optimization
Sun Dec 21 02:14:12 2014  start with 1269913 relations
Sun Dec 21 02:14:14 2014  pruned 45368 relations
Sun Dec 21 02:14:14 2014  memory use: 37.4 MB
Sun Dec 21 02:14:14 2014  distribution of cycle lengths:
Sun Dec 21 02:14:14 2014  1 relations: 9492
Sun Dec 21 02:14:14 2014  2 relations: 16173
Sun Dec 21 02:14:14 2014  3 relations: 20222
Sun Dec 21 02:14:14 2014  4 relations: 21377
Sun Dec 21 02:14:14 2014  5 relations: 21311
Sun Dec 21 02:14:14 2014  6 relations: 20115
Sun Dec 21 02:14:14 2014  7 relations: 18006
Sun Dec 21 02:14:14 2014  8 relations: 15300
Sun Dec 21 02:14:14 2014  9 relations: 12837
Sun Dec 21 02:14:14 2014  10+ relations: 36901
Sun Dec 21 02:14:14 2014  heaviest cycle: 21 relations
Sun Dec 21 02:14:15 2014  RelProcTime: 71
Sun Dec 21 02:14:15 2014  
Sun Dec 21 02:14:15 2014  commencing linear algebra
Sun Dec 21 02:14:15 2014  read 191734 cycles
Sun Dec 21 02:14:15 2014  cycles contain 570622 unique relations
Sun Dec 21 02:14:21 2014  read 570622 relations
Sun Dec 21 02:14:21 2014  using 20 quadratic characters above 67104992
Sun Dec 21 02:14:23 2014  building initial matrix
Sun Dec 21 02:14:30 2014  memory use: 70.8 MB
Sun Dec 21 02:14:30 2014  read 191734 cycles
Sun Dec 21 02:14:30 2014  matrix is 191557 x 191734 (57.9 MB) with weight 17329446 (90.38/col)
Sun Dec 21 02:14:30 2014  sparse part has weight 13057645 (68.10/col)
Sun Dec 21 02:14:31 2014  filtering completed in 2 passes
Sun Dec 21 02:14:31 2014  matrix is 191540 x 191717 (57.9 MB) with weight 17328714 (90.39/col)
Sun Dec 21 02:14:31 2014  sparse part has weight 13057282 (68.11/col)
Sun Dec 21 02:14:31 2014  matrix starts at (0, 0)
Sun Dec 21 02:14:31 2014  matrix is 191540 x 191717 (57.9 MB) with weight 17328714 (90.39/col)
Sun Dec 21 02:14:31 2014  sparse part has weight 13057282 (68.11/col)
Sun Dec 21 02:14:31 2014  saving the first 48 matrix rows for later
Sun Dec 21 02:14:32 2014  matrix includes 64 packed rows
Sun Dec 21 02:14:32 2014  matrix is 191492 x 191717 (54.3 MB) with weight 13628025 (71.08/col)
Sun Dec 21 02:14:32 2014  sparse part has weight 12321950 (64.27/col)
Sun Dec 21 02:14:32 2014  using block size 65536 for processor cache size 8192 kB
Sun Dec 21 02:14:32 2014  commencing Lanczos iteration
Sun Dec 21 02:14:32 2014  memory use: 41.2 MB
Sun Dec 21 02:14:51 2014  linear algebra at 6.3%, ETA 0h 4m
Sun Dec 21 02:19:06 2014  lanczos halted after 3030 iterations (dim = 191490)
Sun Dec 21 02:19:06 2014  recovered 36 nontrivial dependencies
Sun Dec 21 02:19:06 2014  BLanczosTime: 291
Sun Dec 21 02:19:06 2014  
Sun Dec 21 02:19:06 2014  commencing square root phase
Sun Dec 21 02:19:06 2014  reading relations for dependency 1
Sun Dec 21 02:19:06 2014  read 96166 cycles
Sun Dec 21 02:19:06 2014  cycles contain 286078 unique relations
Sun Dec 21 02:19:09 2014  read 286078 relations
Sun Dec 21 02:19:10 2014  multiplying 286078 relations
Sun Dec 21 02:19:16 2014  multiply complete, coefficients have about 8.43 million bits
Sun Dec 21 02:19:16 2014  initial square root is modulo 69911
Sun Dec 21 02:19:28 2014  GCD is N, no factor found
Sun Dec 21 02:19:28 2014  reading relations for dependency 2
Sun Dec 21 02:19:29 2014  read 96047 cycles
Sun Dec 21 02:19:29 2014  cycles contain 286070 unique relations
Sun Dec 21 02:19:34 2014  read 286070 relations
Sun Dec 21 02:19:35 2014  multiplying 286070 relations
Sun Dec 21 02:19:44 2014  multiply complete, coefficients have about 8.43 million bits
Sun Dec 21 02:19:44 2014  initial square root is modulo 69761
Sun Dec 21 02:19:56 2014  GCD is N, no factor found
Sun Dec 21 02:19:56 2014  reading relations for dependency 3
Sun Dec 21 02:19:56 2014  read 95950 cycles
Sun Dec 21 02:19:56 2014  cycles contain 286088 unique relations
Sun Dec 21 02:20:01 2014  read 286088 relations
Sun Dec 21 02:20:02 2014  multiplying 286088 relations
Sun Dec 21 02:20:10 2014  multiply complete, coefficients have about 8.43 million bits
Sun Dec 21 02:20:10 2014  initial square root is modulo 69931
Sun Dec 21 02:20:23 2014  sqrtTime: 77
--
n: 24527820749410266204090760932424932951145545421354353841493673362965759284991118556680857473336004128607498531673
m: 1000000000000000000000000000
deg: 5
c5: 1000
c0: 119
skew: 0.65
# Murphy_E = 2.925e-09
type: snfs
lss: 1
rlim: 1400000
alim: 1400000
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B1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)

10140+1193

c129

name 名前KTakahashi
date 日付December 19, 2014 14:52:28 UTC 2014 年 12 月 19 日 (金) 23 時 52 分 28 秒 (日本時間)
composite number 合成数
352587133575670266192971582953848535829575513142337324726036267021176060163438389465128257990416966620972439320990332267931718483<129>
prime factors 素因数
181817792764576634759813413119299<33>
836671991526785147314962130653600897553<39>
2317794074460386487716190529668655841176627473526543305889<58>
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 352587133575670266192971582953848535829575513142337324726036267021176060163438389465128257990416966620972439320990332267931718483 (129 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3829750119
Step 1 took 2793ms
Step 2 took 967ms
********** Factor found in step 2: 181817792764576634759813413119299
Found probable prime factor of 33 digits: 181817792764576634759813413119299
Composite cofactor 1939233384227753306267363175109940191587183146752234512987114607556141454145508434468574230589617 has 97 digits

Number: 33373_140
N=1939233384227753306267363175109940191587183146752234512987114607556141454145508434468574230589617
  ( 97 digits)
Divisors found:
 r1=836671991526785147314962130653600897553 (pp39)
 r2=2317794074460386487716190529668655841176627473526543305889 (pp58)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 6.46 hours.
Scaled time: 13.36 units (timescale=2.069).
Factorization parameters were as follows:
name: 33373_140
n:  1939233384227753306267363175109940191587183146752234512987114607556141454145508434468574230589617
m:  11692830460370843926537
deg: 4
c4: 103741248
c3: 699443048
c2: -147651254489768830
c1: -683298083474868765195
c0: 3766951106757156456330
skew: 1635.250
type: gnfs
# adj. I(F,S) = 57.410
# E(F1,F2) = 2.456132e-005
# GGNFS version 0.77.1-VC8(Sat 01/17/2009) polyselect.
# Options were: 
# lcd=1, enumLCD=24, maxS1=60.00000000, seed=1418857985.
# maxskew=2000.0
# These parameters should be manually set:
rlim: 1200000
alim: 1200000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.4
alambda: 2.4
qintsize: 60000

type: gnfs
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [600000, 1500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 193487 x 193712
Polynomial selection time: 0.17 hours.
Total sieving time: 6.12 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,96,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 6.46 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 19, 2014 14:50:54 UTC 2014 年 12 月 19 日 (金) 23 時 50 分 54 秒 (日本時間)

10141+1193

c97

name 名前KTakahashi
date 日付December 19, 2014 14:54:04 UTC 2014 年 12 月 19 日 (金) 23 時 54 分 4 秒 (日本時間)
composite number 合成数
7134256490257209344379685145781348962879730638456502814045506419770458325605265203299702905778017<97>
prime factors 素因数
85339029343567819126540449382711679412403889<44>
83598988002726013616785926672461134557547510426847153<53>
factorization results 素因数分解の結果
Number: 33373_141
N=7134256490257209344379685145781348962879730638456502814045506419770458325605265203299702905778017
  ( 97 digits)
Divisors found:
 r1=85339029343567819126540449382711679412403889 (pp44)
 r2=83598988002726013616785926672461134557547510426847153 (pp53)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 6.25 hours.
Scaled time: 12.93 units (timescale=2.068).
Factorization parameters were as follows:
name: 33373_141
n:  7134256490257209344379685145781348962879730638456502814045506419770458325605265203299702905778017
m:  16928646025730786870717
deg: 4
c4: 86868000
c3: -8202247610
c2: -2116619696691605035
c1: 1438711352152624374
c0: 1301241398240675061248904
skew: 1635.250
type: gnfs
# adj. I(F,S) = 57.115
# E(F1,F2) = 2.159971e-005
# GGNFS version 0.77.1-VC8(Sat 01/17/2009) polyselect.
# Options were: 
# lcd=1, enumLCD=24, maxS1=60.00000000, seed=1418684791.
# maxskew=2000.0
# These parameters should be manually set:
rlim: 1200000
alim: 1200000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.4
alambda: 2.4
qintsize: 60000

type: gnfs
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [600000, 1500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 192170 x 192417
Polynomial selection time: 0.17 hours.
Total sieving time: 5.95 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,96,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 6.25 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 19, 2014 13:33:55 UTC 2014 年 12 月 19 日 (金) 22 時 33 分 55 秒 (日本時間)

10143+1193

c113

name 名前KTakahashi
date 日付December 19, 2014 14:56:05 UTC 2014 年 12 月 19 日 (金) 23 時 56 分 5 秒 (日本時間)
composite number 合成数
16829938091584776553436166120988307699150511544338696951599684415221922839848017208851570495681958927245605187109<113>
prime factors 素因数
202988150277557245750048365406399<33>
82910938734956916231861442086705744427642808961705237500174225427538045408075291<80>
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 16829938091584776553436166120988307699150511544338696951599684415221922839848017208851570495681958927245605187109 (113 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2373185894
Step 1 took 2574ms
Step 2 took 1732ms
********** Factor found in step 2: 202988150277557245750048365406399
Found probable prime factor of 33 digits: 202988150277557245750048365406399
Probable prime cofactor 82910938734956916231861442086705744427642808961705237500174225427538045408075291 has 80 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)

10144+1193

c131

name 名前Cyp
date 日付December 22, 2014 06:29:51 UTC 2014 年 12 月 22 日 (月) 15 時 29 分 51 秒 (日本時間)
composite number 合成数
30489098933455067125789886369155294277888278125394912747552189093534926981964851269100987079230149116861351873133816964627401945839<131>
prime factors 素因数
188087311398493605952473849129652865363<39>
1146069882606799285405072564703903923185673<43>
141440567802014565255821494814146483595134684776461<51>
factorization results 素因数分解の結果
12/22/14 05:56:11 v1.34.3, 
12/22/14 05:56:11 v1.34.3, ****************************
12/22/14 05:56:11 v1.34.3, Starting factorization of 30489098933455067125789886369155294277888278125394912747552189093534926981964851269100987079230149116861351873133816964627401945839
12/22/14 05:56:11 v1.34.3, using pretesting plan: none
12/22/14 05:56:11 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/22/14 05:56:11 v1.34.3, ****************************
12/22/14 05:56:11 v1.34.3, nfs: commencing nfs on c131: 30489098933455067125789886369155294277888278125394912747552189093534926981964851269100987079230149116861351873133816964627401945839
12/22/14 05:56:11 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/22/14 05:56:11 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/22/14 05:57:17 v1.34.3, nfs: commencing lattice sieving with 8 threads
[59 lines snipped]
12/22/14 07:15:48 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/22/14 07:17:43 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/22/14 07:19:22 v1.34.3, nfs: commencing msieve filtering
12/22/14 07:20:49 v1.34.3, nfs: commencing msieve linear algebra
12/22/14 07:25:29 v1.34.3, nfs: commencing msieve sqrt
12/22/14 07:29:51 v1.34.3, prp39 = 188087311398493605952473849129652865363
12/22/14 07:29:51 v1.34.3, prp51 = 141440567802014565255821494814146483595134684776461
12/22/14 07:29:51 v1.34.3, prp43 = 1146069882606799285405072564703903923185673
12/22/14 07:29:51 v1.34.3, NFS elapsed time = 5619.3409 seconds.
12/22/14 07:29:51 v1.34.3, 
12/22/14 07:29:51 v1.34.3, 
12/22/14 07:29:51 v1.34.3, Total factoring time = 5619.3417 seconds
--
Mon Dec 22 07:19:22 2014  
Mon Dec 22 07:19:22 2014  commencing relation filtering
Mon Dec 22 07:19:22 2014  estimated available RAM is 15987.3 MB
Mon Dec 22 07:19:22 2014  commencing duplicate removal, pass 1
Mon Dec 22 07:19:45 2014  found 662062 hash collisions in 4531869 relations
Mon Dec 22 07:19:52 2014  added 181748 free relations
Mon Dec 22 07:19:52 2014  commencing duplicate removal, pass 2
Mon Dec 22 07:19:58 2014  found 507370 duplicates and 4206247 unique relations
Mon Dec 22 07:19:58 2014  memory use: 20.6 MB
Mon Dec 22 07:19:58 2014  reading ideals above 100000
Mon Dec 22 07:19:58 2014  commencing singleton removal, initial pass
Mon Dec 22 07:20:31 2014  memory use: 94.1 MB
Mon Dec 22 07:20:31 2014  reading all ideals from disk
Mon Dec 22 07:20:31 2014  memory use: 135.4 MB
Mon Dec 22 07:20:31 2014  keeping 4647469 ideals with weight <= 200, target excess is 21957
Mon Dec 22 07:20:31 2014  commencing in-memory singleton removal
Mon Dec 22 07:20:31 2014  begin with 4206247 relations and 4647469 unique ideals
Mon Dec 22 07:20:34 2014  reduce to 1720134 relations and 1514631 ideals in 13 passes
Mon Dec 22 07:20:34 2014  max relations containing the same ideal: 112
Mon Dec 22 07:20:35 2014  removing 390246 relations and 300230 ideals in 90016 cliques
Mon Dec 22 07:20:35 2014  commencing in-memory singleton removal
Mon Dec 22 07:20:35 2014  begin with 1329888 relations and 1514631 unique ideals
Mon Dec 22 07:20:36 2014  reduce to 1263934 relations and 1144199 ideals in 9 passes
Mon Dec 22 07:20:36 2014  max relations containing the same ideal: 91
Mon Dec 22 07:20:36 2014  removing 316558 relations and 226542 ideals in 90016 cliques
Mon Dec 22 07:20:36 2014  commencing in-memory singleton removal
Mon Dec 22 07:20:36 2014  begin with 947376 relations and 1144199 unique ideals
Mon Dec 22 07:20:37 2014  reduce to 892765 relations and 859159 ideals in 7 passes
Mon Dec 22 07:20:37 2014  max relations containing the same ideal: 70
Mon Dec 22 07:20:37 2014  removing 47079 relations and 38944 ideals in 8135 cliques
Mon Dec 22 07:20:37 2014  commencing in-memory singleton removal
Mon Dec 22 07:20:37 2014  begin with 845686 relations and 859159 unique ideals
Mon Dec 22 07:20:38 2014  reduce to 844176 relations and 818695 ideals in 6 passes
Mon Dec 22 07:20:38 2014  max relations containing the same ideal: 69
Mon Dec 22 07:20:38 2014  relations with 0 large ideals: 507
Mon Dec 22 07:20:38 2014  relations with 1 large ideals: 176
Mon Dec 22 07:20:38 2014  relations with 2 large ideals: 2478
Mon Dec 22 07:20:38 2014  relations with 3 large ideals: 19698
Mon Dec 22 07:20:38 2014  relations with 4 large ideals: 79995
Mon Dec 22 07:20:38 2014  relations with 5 large ideals: 182102
Mon Dec 22 07:20:38 2014  relations with 6 large ideals: 253355
Mon Dec 22 07:20:38 2014  relations with 7+ large ideals: 305865
Mon Dec 22 07:20:38 2014  commencing 2-way merge
Mon Dec 22 07:20:38 2014  reduce to 525205 relation sets and 499724 unique ideals
Mon Dec 22 07:20:38 2014  commencing full merge
Mon Dec 22 07:20:46 2014  memory use: 66.7 MB
Mon Dec 22 07:20:46 2014  found 267125 cycles, need 263924
Mon Dec 22 07:20:46 2014  weight of 263924 cycles is about 18766995 (71.11/cycle)
Mon Dec 22 07:20:46 2014  distribution of cycle lengths:
Mon Dec 22 07:20:46 2014  1 relations: 20308
Mon Dec 22 07:20:46 2014  2 relations: 25297
Mon Dec 22 07:20:46 2014  3 relations: 26928
Mon Dec 22 07:20:46 2014  4 relations: 26415
Mon Dec 22 07:20:46 2014  5 relations: 25492
Mon Dec 22 07:20:46 2014  6 relations: 23536
Mon Dec 22 07:20:46 2014  7 relations: 21469
Mon Dec 22 07:20:46 2014  8 relations: 18995
Mon Dec 22 07:20:46 2014  9 relations: 16235
Mon Dec 22 07:20:46 2014  10+ relations: 59249
Mon Dec 22 07:20:46 2014  heaviest cycle: 22 relations
Mon Dec 22 07:20:46 2014  commencing cycle optimization
Mon Dec 22 07:20:47 2014  start with 1721105 relations
Mon Dec 22 07:20:49 2014  pruned 52873 relations
Mon Dec 22 07:20:49 2014  memory use: 52.6 MB
Mon Dec 22 07:20:49 2014  distribution of cycle lengths:
Mon Dec 22 07:20:49 2014  1 relations: 20308
Mon Dec 22 07:20:49 2014  2 relations: 25760
Mon Dec 22 07:20:49 2014  3 relations: 27915
Mon Dec 22 07:20:49 2014  4 relations: 27284
Mon Dec 22 07:20:49 2014  5 relations: 26366
Mon Dec 22 07:20:49 2014  6 relations: 24206
Mon Dec 22 07:20:49 2014  7 relations: 22138
Mon Dec 22 07:20:49 2014  8 relations: 19406
Mon Dec 22 07:20:49 2014  9 relations: 16375
Mon Dec 22 07:20:49 2014  10+ relations: 54166
Mon Dec 22 07:20:49 2014  heaviest cycle: 21 relations
Mon Dec 22 07:20:49 2014  RelProcTime: 87
Mon Dec 22 07:20:49 2014  
Mon Dec 22 07:20:49 2014  commencing linear algebra
Mon Dec 22 07:20:49 2014  read 263924 cycles
Mon Dec 22 07:20:50 2014  cycles contain 829598 unique relations
Mon Dec 22 07:20:57 2014  read 829598 relations
Mon Dec 22 07:20:58 2014  using 20 quadratic characters above 67105610
Mon Dec 22 07:21:02 2014  building initial matrix
Mon Dec 22 07:21:11 2014  memory use: 99.4 MB
Mon Dec 22 07:21:11 2014  read 263924 cycles
Mon Dec 22 07:21:11 2014  matrix is 263747 x 263924 (79.2 MB) with weight 23718754 (89.87/col)
Mon Dec 22 07:21:11 2014  sparse part has weight 17849251 (67.63/col)
Mon Dec 22 07:21:13 2014  filtering completed in 2 passes
Mon Dec 22 07:21:13 2014  matrix is 263718 x 263895 (79.2 MB) with weight 23717634 (89.88/col)
Mon Dec 22 07:21:13 2014  sparse part has weight 17848818 (67.64/col)
Mon Dec 22 07:21:14 2014  matrix starts at (0, 0)
Mon Dec 22 07:21:14 2014  matrix is 263718 x 263895 (79.2 MB) with weight 23717634 (89.88/col)
Mon Dec 22 07:21:14 2014  sparse part has weight 17848818 (67.64/col)
Mon Dec 22 07:21:14 2014  saving the first 48 matrix rows for later
Mon Dec 22 07:21:14 2014  matrix includes 64 packed rows
Mon Dec 22 07:21:14 2014  matrix is 263670 x 263895 (74.6 MB) with weight 18795892 (71.22/col)
Mon Dec 22 07:21:14 2014  sparse part has weight 16907502 (64.07/col)
Mon Dec 22 07:21:14 2014  using block size 65536 for processor cache size 8192 kB
Mon Dec 22 07:21:15 2014  commencing Lanczos iteration (8 threads)
Mon Dec 22 07:21:15 2014  memory use: 71.3 MB
Mon Dec 22 07:21:29 2014  linear algebra at 4.6%, ETA 0h 4m
Mon Dec 22 07:25:29 2014  lanczos halted after 4171 iterations (dim = 263669)
Mon Dec 22 07:25:29 2014  recovered 39 nontrivial dependencies
Mon Dec 22 07:25:29 2014  BLanczosTime: 280
Mon Dec 22 07:25:29 2014  
Mon Dec 22 07:25:29 2014  commencing square root phase
Mon Dec 22 07:25:29 2014  reading relations for dependency 1
Mon Dec 22 07:25:29 2014  read 132099 cycles
Mon Dec 22 07:25:29 2014  cycles contain 415394 unique relations
Mon Dec 22 07:25:35 2014  read 415394 relations
Mon Dec 22 07:25:37 2014  multiplying 415394 relations
Mon Dec 22 07:25:48 2014  multiply complete, coefficients have about 10.19 million bits
Mon Dec 22 07:25:49 2014  initial square root is modulo 717751
Mon Dec 22 07:26:03 2014  GCD is N, no factor found
Mon Dec 22 07:26:03 2014  reading relations for dependency 2
Mon Dec 22 07:26:03 2014  read 132450 cycles
Mon Dec 22 07:26:03 2014  cycles contain 416326 unique relations
Mon Dec 22 07:26:10 2014  read 416326 relations
Mon Dec 22 07:26:12 2014  multiplying 416326 relations
Mon Dec 22 07:26:23 2014  multiply complete, coefficients have about 10.21 million bits
Mon Dec 22 07:26:23 2014  initial square root is modulo 740351
Mon Dec 22 07:26:38 2014  GCD is 1, no factor found
Mon Dec 22 07:26:38 2014  reading relations for dependency 3
Mon Dec 22 07:26:38 2014  read 131770 cycles
Mon Dec 22 07:26:38 2014  cycles contain 415188 unique relations
Mon Dec 22 07:26:45 2014  read 415188 relations
Mon Dec 22 07:26:46 2014  multiplying 415188 relations
Mon Dec 22 07:26:58 2014  multiply complete, coefficients have about 10.18 million bits
Mon Dec 22 07:26:58 2014  initial square root is modulo 713261
Mon Dec 22 07:27:12 2014  found factor: 188087311398493605952473849129652865363
Mon Dec 22 07:27:12 2014  reading relations for dependency 4
Mon Dec 22 07:27:12 2014  read 131910 cycles
Mon Dec 22 07:27:13 2014  cycles contain 414748 unique relations
Mon Dec 22 07:27:19 2014  read 414748 relations
Mon Dec 22 07:27:20 2014  multiplying 414748 relations
Mon Dec 22 07:27:31 2014  multiply complete, coefficients have about 10.17 million bits
Mon Dec 22 07:27:31 2014  initial square root is modulo 704441
Mon Dec 22 07:27:45 2014  GCD is N, no factor found
Mon Dec 22 07:27:45 2014  reading relations for dependency 5
Mon Dec 22 07:27:45 2014  read 132080 cycles
Mon Dec 22 07:27:45 2014  cycles contain 414976 unique relations
Mon Dec 22 07:27:51 2014  read 414976 relations
Mon Dec 22 07:27:53 2014  multiplying 414976 relations
Mon Dec 22 07:28:04 2014  multiply complete, coefficients have about 10.18 million bits
Mon Dec 22 07:28:04 2014  initial square root is modulo 707261
Mon Dec 22 07:28:19 2014  GCD is 1, no factor found
Mon Dec 22 07:28:19 2014  reading relations for dependency 6
Mon Dec 22 07:28:19 2014  read 132122 cycles
Mon Dec 22 07:28:19 2014  cycles contain 414962 unique relations
Mon Dec 22 07:28:25 2014  read 414962 relations
Mon Dec 22 07:28:26 2014  multiplying 414962 relations
Mon Dec 22 07:28:37 2014  multiply complete, coefficients have about 10.18 million bits
Mon Dec 22 07:28:37 2014  initial square root is modulo 709831
Mon Dec 22 07:28:46 2014  found factor: 188087311398493605952473849129652865363
Mon Dec 22 07:28:46 2014  reading relations for dependency 7
Mon Dec 22 07:28:46 2014  read 132325 cycles
Mon Dec 22 07:28:46 2014  cycles contain 415174 unique relations
Mon Dec 22 07:28:49 2014  read 415174 relations
Mon Dec 22 07:28:51 2014  multiplying 415174 relations
Mon Dec 22 07:29:02 2014  multiply complete, coefficients have about 10.18 million bits
Mon Dec 22 07:29:02 2014  initial square root is modulo 711691
Mon Dec 22 07:29:18 2014  GCD is 1, no factor found
Mon Dec 22 07:29:18 2014  reading relations for dependency 8
Mon Dec 22 07:29:18 2014  read 132143 cycles
Mon Dec 22 07:29:18 2014  cycles contain 415496 unique relations
Mon Dec 22 07:29:23 2014  read 415496 relations
Mon Dec 22 07:29:25 2014  multiplying 415496 relations
Mon Dec 22 07:29:36 2014  multiply complete, coefficients have about 10.19 million bits
Mon Dec 22 07:29:36 2014  initial square root is modulo 719681
Mon Dec 22 07:29:51 2014  sqrtTime: 262
--
n: 30489098933455067125789886369155294277888278125394912747552189093534926981964851269100987079230149116861351873133816964627401945839
m: 50000000000000000000000000000
deg: 5
c5: 16
c0: 595
skew: 2.06
# Murphy_E = 2.033e-09
type: snfs
lss: 1
rlim: 1810000
alim: 1810000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:21:54 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 54 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:46 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 46 秒 (日本時間)

10146+1193

c135

name 名前Dmitry Domanov
date 日付December 22, 2014 09:00:46 UTC 2014 年 12 月 22 日 (月) 18 時 0 分 46 秒 (日本時間)
composite number 合成数
260253974528582025322136471860971557850028180943319398934563774495511259732814234719927163644987209633342178850364436295253040588859537<135>
prime factors 素因数
35473413557948193812861509692372581381079291191069777537526653<62>
7336592349744964631417786371480621970118818644007244024925263048748152229<73>
factorization results 素因数分解の結果
N=260253974528582025322136471860971557850028180943319398934563774495511259732814234719927163644987209633342178850364436295253040588859537
  ( 135 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=35473413557948193812861509692372581381079291191069777537526653 (pp62)
 r2=7336592349744964631417786371480621970118818644007244024925263048748152229 (pp73)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 7.81 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 260253974528582025322136471860971557850028180943319398934563774495511259732814234719927163644987209633342178850364436295253040588859537
m: 100000000000000000000000000000
deg: 5
c5: 10
c0: 119
skew: 1.64
# Murphy_E = 1.746e-09
type: snfs
lss: 1
rlim: 1900000
alim: 1900000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1900000/1900000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [950000, 2350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 334265 x 334490
Total sieving time: 7.57 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,146.000,5,0,0,0,0,0,0,0,0,1900000,1900000,26,26,49,49,2.3,2.3,100000
total time: 7.81 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:21:55 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 55 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:46 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 46 秒 (日本時間)

10147+1193

c134

name 名前Dmitry Domanov
date 日付December 22, 2014 10:39:54 UTC 2014 年 12 月 22 日 (月) 19 時 39 分 54 秒 (日本時間)
composite number 合成数
25218086333034556104362166956061111160206705858869345021970483251185414333266483139527586409780223605646928049359803327466933479139261<134>
prime factors 素因数
32266443072646216405289654698818203353091425223587<50>
781557678243534556240568984855641142741981088017368761234943366713734016213046025503<84>
factorization results 素因数分解の結果
N=25218086333034556104362166956061111160206705858869345021970483251185414333266483139527586409780223605646928049359803327466933479139261
  ( 134 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=32266443072646216405289654698818203353091425223587 (pp50)
 r2=781557678243534556240568984855641142741981088017368761234943366713734016213046025503 (pp84)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 8.54 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 25218086333034556104362166956061111160206705858869345021970483251185414333266483139527586409780223605646928049359803327466933479139261
m: 100000000000000000000000000000
deg: 5
c5: 100
c0: 119
skew: 1.04
# Murphy_E = 1.612e-09
type: snfs
lss: 1
rlim: 1970000
alim: 1970000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1970000/1970000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [985000, 2485001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 309272 x 309499
Total sieving time: 8.29 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,147.000,5,0,0,0,0,0,0,0,0,1970000,1970000,26,26,49,49,2.3,2.3,100000
total time: 8.54 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:21:55 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 55 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:46 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 46 秒 (日本時間)

10152+1193

c142

name 名前Dmitry Domanov
date 日付December 23, 2014 13:42:07 UTC 2014 年 12 月 23 日 (火) 22 時 42 分 7 秒 (日本時間)
composite number 合成数
5137860100844272916567098470191123987981226438194560940177332235387632334406676339860766181023095183790148672355188535382752441123635357043067<142>
prime factors 素因数
7723186932032227309109676299871717312395888689386315133<55>
665251294065509698772319851764053440372038126714810827245763901742296260700917507085399<87>
factorization results 素因数分解の結果
N=5137860100844272916567098470191123987981226438194560940177332235387632334406676339860766181023095183790148672355188535382752441123635357043067
  ( 142 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=7723186932032227309109676299871717312395888689386315133 (pp55)
 r2=665251294065509698772319851764053440372038126714810827245763901742296260700917507085399 (pp87)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 13.44 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 5137860100844272916567098470191123987981226438194560940177332235387632334406676339860766181023095183790148672355188535382752441123635357043067
m: 1000000000000000000000000000000
deg: 5
c5: 100
c0: 119
skew: 1.04
# Murphy_E = 1.043e-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
Max factor residue bits: 50/50
Sieved rational special-q in [1200000, 2000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 416764 x 416993
Total sieving time: 13.15 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.16 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,152.000,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,50,50,2.4,2.4,100000
total time: 13.44 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:21:55 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 55 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:47 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 47 秒 (日本時間)

10154+1193

c108

name 名前Cyp
date 日付December 20, 2014 14:02:24 UTC 2014 年 12 月 20 日 (土) 23 時 2 分 24 秒 (日本時間)
composite number 合成数
161319082188388126458869321143400119565153847908763287754527835696506740457440262549574349367881332307937237<108>
prime factors 素因数
751333858298693690270211602136287266234037<42>
214710252182266926263956893495147540131766201662904794500612413601<66>
factorization results 素因数分解の結果
12/20/14 13:03:11 v1.34.3, 
12/20/14 13:03:11 v1.34.3, ****************************
12/20/14 13:03:11 v1.34.3, Starting factorization of 161319082188388126458869321143400119565153847908763287754527835696506740457440262549574349367881332307937237
12/20/14 13:03:11 v1.34.3, using pretesting plan: none
12/20/14 13:03:11 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/20/14 13:03:11 v1.34.3, ****************************
12/20/14 13:03:11 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C108
12/20/14 13:03:11 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C108
12/20/14 13:03:11 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C108
12/20/14 13:03:11 v1.34.3, final ECM pretested depth: 0.00
12/20/14 13:03:11 v1.34.3, scheduler: switching to sieve method
12/20/14 13:03:11 v1.34.3, nfs: commencing nfs on c108: 161319082188388126458869321143400119565153847908763287754527835696506740457440262549574349367881332307937237
12/20/14 13:03:11 v1.34.3, nfs: commencing poly selection with 8 threads
12/20/14 13:03:11 v1.34.3, nfs: setting deadline of 344 seconds
12/20/14 13:10:35 v1.34.3, nfs: completed 41 ranges of size 250 in 443.8338 seconds
12/20/14 13:10:35 v1.34.3, nfs: best poly = # norm 1.102021e-14 alpha -4.634061 e 4.137e-09 rroots 2
12/20/14 13:10:35 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 13:19:29 v1.34.3, nfs: commencing lattice sieving with 8 threads
[5 lines snipped]
12/20/14 14:08:44 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 14:17:05 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 14:26:06 v1.34.3, nfs: commencing msieve filtering
12/20/14 14:27:23 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 14:36:44 v1.34.3, nfs: commencing msieve filtering
12/20/14 14:38:08 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 14:47:52 v1.34.3, nfs: commencing msieve filtering
12/20/14 14:49:49 v1.34.3, nfs: commencing msieve linear algebra
12/20/14 15:00:20 v1.34.3, nfs: commencing msieve sqrt
12/20/14 15:02:23 v1.34.3, prp66 = 214710252182266926263956893495147540131766201662904794500612413601
12/20/14 15:02:23 v1.34.3, prp42 = 751333858298693690270211602136287266234037
12/20/14 15:02:23 v1.34.3, NFS elapsed time = 7151.3971 seconds.
12/20/14 15:02:23 v1.34.3, 
12/20/14 15:02:23 v1.34.3, 
12/20/14 15:02:23 v1.34.3, Total factoring time = 7151.4216 seconds
--
Sat Dec 20 14:26:06 2014  
Sat Dec 20 14:26:06 2014  commencing relation filtering
Sat Dec 20 14:26:06 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 14:26:06 2014  commencing duplicate removal, pass 1
Sat Dec 20 14:26:31 2014  found 375304 hash collisions in 4511916 relations
Sat Dec 20 14:26:38 2014  added 160395 free relations
Sat Dec 20 14:26:38 2014  commencing duplicate removal, pass 2
Sat Dec 20 14:26:44 2014  found 128368 duplicates and 4543943 unique relations
Sat Dec 20 14:26:44 2014  memory use: 19.6 MB
Sat Dec 20 14:26:44 2014  reading ideals above 100000
Sat Dec 20 14:26:44 2014  commencing singleton removal, initial pass
Sat Dec 20 14:27:20 2014  memory use: 172.2 MB
Sat Dec 20 14:27:20 2014  reading all ideals from disk
Sat Dec 20 14:27:20 2014  memory use: 151.1 MB
Sat Dec 20 14:27:20 2014  keeping 5587196 ideals with weight <= 200, target excess is 42271
Sat Dec 20 14:27:21 2014  commencing in-memory singleton removal
Sat Dec 20 14:27:21 2014  begin with 4543943 relations and 5587196 unique ideals
Sat Dec 20 14:27:23 2014  reduce to 458 relations and 1 ideals in 29 passes
Sat Dec 20 14:27:23 2014  max relations containing the same ideal: 2
Sat Dec 20 14:36:44 2014  
Sat Dec 20 14:36:44 2014  commencing relation filtering
Sat Dec 20 14:36:44 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 14:36:44 2014  commencing duplicate removal, pass 1
Sat Dec 20 14:37:12 2014  found 476324 hash collisions in 5180741 relations
Sat Dec 20 14:37:17 2014  added 1458 free relations
Sat Dec 20 14:37:17 2014  commencing duplicate removal, pass 2
Sat Dec 20 14:37:24 2014  found 156870 duplicates and 5025329 unique relations
Sat Dec 20 14:37:24 2014  memory use: 20.6 MB
Sat Dec 20 14:37:24 2014  reading ideals above 100000
Sat Dec 20 14:37:24 2014  commencing singleton removal, initial pass
Sat Dec 20 14:38:03 2014  memory use: 172.2 MB
Sat Dec 20 14:38:03 2014  reading all ideals from disk
Sat Dec 20 14:38:03 2014  memory use: 167.3 MB
Sat Dec 20 14:38:03 2014  keeping 5800120 ideals with weight <= 200, target excess is 47058
Sat Dec 20 14:38:03 2014  commencing in-memory singleton removal
Sat Dec 20 14:38:04 2014  begin with 5025329 relations and 5800120 unique ideals
Sat Dec 20 14:38:08 2014  reduce to 1478820 relations and 1528071 ideals in 28 passes
Sat Dec 20 14:38:08 2014  max relations containing the same ideal: 92
Sat Dec 20 14:47:52 2014  
Sat Dec 20 14:47:52 2014  commencing relation filtering
Sat Dec 20 14:47:52 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 14:47:52 2014  commencing duplicate removal, pass 1
Sat Dec 20 14:48:22 2014  found 567432 hash collisions in 5699060 relations
Sat Dec 20 14:48:29 2014  added 1098 free relations
Sat Dec 20 14:48:29 2014  commencing duplicate removal, pass 2
Sat Dec 20 14:48:36 2014  found 188643 duplicates and 5511515 unique relations
Sat Dec 20 14:48:36 2014  memory use: 20.6 MB
Sat Dec 20 14:48:36 2014  reading ideals above 100000
Sat Dec 20 14:48:36 2014  commencing singleton removal, initial pass
Sat Dec 20 14:49:21 2014  memory use: 172.2 MB
Sat Dec 20 14:49:21 2014  reading all ideals from disk
Sat Dec 20 14:49:21 2014  memory use: 183.6 MB
Sat Dec 20 14:49:22 2014  keeping 5990359 ideals with weight <= 200, target excess is 51964
Sat Dec 20 14:49:22 2014  commencing in-memory singleton removal
Sat Dec 20 14:49:23 2014  begin with 5511515 relations and 5990359 unique ideals
Sat Dec 20 14:49:27 2014  reduce to 2197405 relations and 2072527 ideals in 18 passes
Sat Dec 20 14:49:27 2014  max relations containing the same ideal: 110
Sat Dec 20 14:49:28 2014  removing 307076 relations and 274776 ideals in 32300 cliques
Sat Dec 20 14:49:28 2014  commencing in-memory singleton removal
Sat Dec 20 14:49:28 2014  begin with 1890329 relations and 2072527 unique ideals
Sat Dec 20 14:49:30 2014  reduce to 1852475 relations and 1759061 ideals in 10 passes
Sat Dec 20 14:49:30 2014  max relations containing the same ideal: 96
Sat Dec 20 14:49:30 2014  removing 226841 relations and 194541 ideals in 32300 cliques
Sat Dec 20 14:49:31 2014  commencing in-memory singleton removal
Sat Dec 20 14:49:31 2014  begin with 1625634 relations and 1759061 unique ideals
Sat Dec 20 14:49:32 2014  reduce to 1600312 relations and 1538733 ideals in 8 passes
Sat Dec 20 14:49:32 2014  max relations containing the same ideal: 88
Sat Dec 20 14:49:33 2014  relations with 0 large ideals: 614
Sat Dec 20 14:49:33 2014  relations with 1 large ideals: 3949
Sat Dec 20 14:49:33 2014  relations with 2 large ideals: 26247
Sat Dec 20 14:49:33 2014  relations with 3 large ideals: 121469
Sat Dec 20 14:49:33 2014  relations with 4 large ideals: 319553
Sat Dec 20 14:49:33 2014  relations with 5 large ideals: 489797
Sat Dec 20 14:49:33 2014  relations with 6 large ideals: 401091
Sat Dec 20 14:49:33 2014  relations with 7+ large ideals: 237592
Sat Dec 20 14:49:33 2014  commencing 2-way merge
Sat Dec 20 14:49:34 2014  reduce to 913558 relation sets and 851978 unique ideals
Sat Dec 20 14:49:34 2014  commencing full merge
Sat Dec 20 14:49:43 2014  memory use: 87.3 MB
Sat Dec 20 14:49:43 2014  found 435829 cycles, need 428178
Sat Dec 20 14:49:44 2014  weight of 428178 cycles is about 30198653 (70.53/cycle)
Sat Dec 20 14:49:44 2014  distribution of cycle lengths:
Sat Dec 20 14:49:44 2014  1 relations: 45589
Sat Dec 20 14:49:44 2014  2 relations: 46345
Sat Dec 20 14:49:44 2014  3 relations: 46350
Sat Dec 20 14:49:44 2014  4 relations: 41917
Sat Dec 20 14:49:44 2014  5 relations: 38328
Sat Dec 20 14:49:44 2014  6 relations: 33058
Sat Dec 20 14:49:44 2014  7 relations: 28880
Sat Dec 20 14:49:44 2014  8 relations: 25581
Sat Dec 20 14:49:44 2014  9 relations: 22224
Sat Dec 20 14:49:44 2014  10+ relations: 99906
Sat Dec 20 14:49:44 2014  heaviest cycle: 24 relations
Sat Dec 20 14:49:44 2014  commencing cycle optimization
Sat Dec 20 14:49:44 2014  start with 2765242 relations
Sat Dec 20 14:49:49 2014  pruned 61040 relations
Sat Dec 20 14:49:49 2014  memory use: 91.4 MB
Sat Dec 20 14:49:49 2014  distribution of cycle lengths:
Sat Dec 20 14:49:49 2014  1 relations: 45589
Sat Dec 20 14:49:49 2014  2 relations: 47348
Sat Dec 20 14:49:49 2014  3 relations: 47796
Sat Dec 20 14:49:49 2014  4 relations: 42808
Sat Dec 20 14:49:49 2014  5 relations: 39182
Sat Dec 20 14:49:49 2014  6 relations: 33482
Sat Dec 20 14:49:49 2014  7 relations: 29177
Sat Dec 20 14:49:49 2014  8 relations: 25590
Sat Dec 20 14:49:49 2014  9 relations: 22113
Sat Dec 20 14:49:49 2014  10+ relations: 95093
Sat Dec 20 14:49:49 2014  heaviest cycle: 24 relations
Sat Dec 20 14:49:49 2014  RelProcTime: 117
Sat Dec 20 14:49:49 2014  
Sat Dec 20 14:49:49 2014  commencing linear algebra
Sat Dec 20 14:49:49 2014  read 428178 cycles
Sat Dec 20 14:49:50 2014  cycles contain 1525374 unique relations
Sat Dec 20 14:50:04 2014  read 1525374 relations
Sat Dec 20 14:50:06 2014  using 20 quadratic characters above 67108670
Sat Dec 20 14:50:14 2014  building initial matrix
Sat Dec 20 14:50:27 2014  memory use: 188.9 MB
Sat Dec 20 14:50:28 2014  read 428178 cycles
Sat Dec 20 14:50:28 2014  matrix is 427995 x 428178 (128.6 MB) with weight 40654610 (94.95/col)
Sat Dec 20 14:50:28 2014  sparse part has weight 29009768 (67.75/col)
Sat Dec 20 14:50:30 2014  filtering completed in 2 passes
Sat Dec 20 14:50:30 2014  matrix is 426619 x 426802 (128.5 MB) with weight 40594445 (95.11/col)
Sat Dec 20 14:50:30 2014  sparse part has weight 28989845 (67.92/col)
Sat Dec 20 14:50:31 2014  matrix starts at (0, 0)
Sat Dec 20 14:50:31 2014  matrix is 426619 x 426802 (128.5 MB) with weight 40594445 (95.11/col)
Sat Dec 20 14:50:31 2014  sparse part has weight 28989845 (67.92/col)
Sat Dec 20 14:50:31 2014  saving the first 48 matrix rows for later
Sat Dec 20 14:50:31 2014  matrix includes 64 packed rows
Sat Dec 20 14:50:31 2014  matrix is 426571 x 426802 (123.3 MB) with weight 32057618 (75.11/col)
Sat Dec 20 14:50:31 2014  sparse part has weight 28044054 (65.71/col)
Sat Dec 20 14:50:31 2014  using block size 65536 for processor cache size 8192 kB
Sat Dec 20 14:50:33 2014  commencing Lanczos iteration (8 threads)
Sat Dec 20 14:50:33 2014  memory use: 118.1 MB
Sat Dec 20 14:50:53 2014  linear algebra at 2.8%, ETA 0h11m
Sat Dec 20 15:00:20 2014  lanczos halted after 6747 iterations (dim = 426569)
Sat Dec 20 15:00:20 2014  recovered 31 nontrivial dependencies
Sat Dec 20 15:00:20 2014  BLanczosTime: 631
Sat Dec 20 15:00:20 2014  
Sat Dec 20 15:00:20 2014  commencing square root phase
Sat Dec 20 15:00:20 2014  reading relations for dependency 1
Sat Dec 20 15:00:20 2014  read 213131 cycles
Sat Dec 20 15:00:21 2014  cycles contain 762246 unique relations
Sat Dec 20 15:00:26 2014  read 762246 relations
Sat Dec 20 15:00:28 2014  multiplying 762246 relations
Sat Dec 20 15:00:43 2014  multiply complete, coefficients have about 31.85 million bits
Sat Dec 20 15:00:43 2014  initial square root is modulo 1400801137
Sat Dec 20 15:01:02 2014  GCD is N, no factor found
Sat Dec 20 15:01:02 2014  reading relations for dependency 2
Sat Dec 20 15:01:02 2014  read 212978 cycles
Sat Dec 20 15:01:03 2014  cycles contain 761506 unique relations
Sat Dec 20 15:01:08 2014  read 761506 relations
Sat Dec 20 15:01:10 2014  multiplying 761506 relations
Sat Dec 20 15:01:24 2014  multiply complete, coefficients have about 31.82 million bits
Sat Dec 20 15:01:24 2014  initial square root is modulo 1373180227
Sat Dec 20 15:01:43 2014  GCD is N, no factor found
Sat Dec 20 15:01:43 2014  reading relations for dependency 3
Sat Dec 20 15:01:43 2014  read 213168 cycles
Sat Dec 20 15:01:43 2014  cycles contain 761688 unique relations
Sat Dec 20 15:01:48 2014  read 761688 relations
Sat Dec 20 15:01:50 2014  multiplying 761688 relations
Sat Dec 20 15:02:04 2014  multiply complete, coefficients have about 31.83 million bits
Sat Dec 20 15:02:04 2014  initial square root is modulo 1379348501
Sat Dec 20 15:02:23 2014  sqrtTime: 123
--
n: 161319082188388126458869321143400119565153847908763287754527835696506740457440262549574349367881332307937237
skew: 4328200.65
c0: -32344481809751880220825150195
c1: 35472769551588842493374
c2: 45910759611726979
c3: -2807769998
c4: 360
Y0: -145494302250168956917180716
Y1: 30185314072397
rlim: 2920000
alim: 2920000
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B1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:01:38 UTC 2014 年 12 月 20 日 (土) 3 時 1 分 38 秒 (日本時間)

10155+1193

c109

name 名前Serge Batalov
date 日付December 19, 2014 17:55:00 UTC 2014 年 12 月 20 日 (土) 2 時 55 分 0 秒 (日本時間)
composite number 合成数
4290311582915437249699529370648103319250425179227275720964239005886199486181563917187507459521239387930311743<109>
prime factors 素因数
887010082662648719744179473161<30>
composite cofactor 合成数の残り
4836823917532790876573597706942011132691315651213954144388903746216717022246663<79>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=4021004449
Step 1 took 2037ms
Step 2 took 1785ms
********** Factor found in step 2: 887010082662648719744179473161
Found probable prime factor of 30 digits: 887010082662648719744179473161
Composite cofactor 

c79

name 名前KTakahashi
date 日付December 20, 2014 12:46:25 UTC 2014 年 12 月 20 日 (土) 21 時 46 分 25 秒 (日本時間)
composite number 合成数
4836823917532790876573597706942011132691315651213954144388903746216717022246663<79>
prime factors 素因数
3173011282632150217825291476732961993<37>
1524363920168741427246495553537316939642191<43>
factorization results 素因数分解の結果
Msieve v. 1.51 (SVN Official Release)
Sat Dec 20 12:37:14 2014
random seeds: 94cb63e8 779faa77
factoring 4836823917532790876573597706942011132691315651213954144388903746216717022246663 (79 digits)
searching for 15-digit factors
commencing quadratic sieve (79-digit input)
using multiplier of 7
using VC8 64kb sieve core
sieve interval: 6 blocks of size 65536
processing polynomials in batches of 17
using a sieve bound of 1144393 (44588 primes)
using large prime bound of 114439300 (26 bits)
using trial factoring cutoff of 27 bits
polynomial 'A' values have 10 factors
44934 relations (23217 full + 21717 combined from 241322 partial), need 44684
begin with 264539 relations
reduce to 63859 relations in 2 passes
attempting to read 63859 relations
recovered 63859 relations
recovered 52512 polynomials
attempting to build 44934 cycles
found 44934 cycles in 1 passes
distribution of cycle lengths:
   length 1 : 23217
   length 2 : 21717
largest cycle: 2 relations
matrix is 44588 x 44934 (6.5 MB) with weight 1356564 (30.19/col)
sparse part has weight 1356564 (30.19/col)
filtering completed in 4 passes
matrix is 31449 x 31513 (5.0 MB) with weight 1061890 (33.70/col)
sparse part has weight 1061890 (33.70/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 31401 x 31513 (3.4 MB) with weight 793272 (25.17/col)
sparse part has weight 574801 (18.24/col)
using block size 12560 for processor cache size 1024 kB
commencing Lanczos iteration
memory use: 1.9 MB
lanczos halted after 498 iterations (dim = 31397)
recovered 15 nontrivial dependencies
prp37 factor: 3173011282632150217825291476732961993
prp43 factor: 1524363920168741427246495553537316939642191
elapsed time 00:08:33

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)

10156+1193

c113

name 名前Jo Yeong Uk
date 日付December 25, 2014 14:30:10 UTC 2014 年 12 月 25 日 (木) 23 時 30 分 10 秒 (日本時間)
composite number 合成数
54924848361101490323326205065289705271122541718373575253124903256903784192788830311925877900219745464543645349399<113>
prime factors 素因数
4976963398386891253638673005310269367975177926257<49>
11035815207904374052343663432165091442157358467231528770511980807<65>
factorization results 素因数分解の結果
Number: 33373_156
N=54924848361101490323326205065289705271122541718373575253124903256903784192788830311925877900219745464543645349399
  ( 113 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=4976963398386891253638673005310269367975177926257
 r2=11035815207904374052343663432165091442157358467231528770511980807
Version: 
Total time: 7.19 hours.
Scaled time: 37.74 units (timescale=5.251).
Factorization parameters were as follows:
n: 54924848361101490323326205065289705271122541718373575253124903256903784192788830311925877900219745464543645349399
m: 10000000000000000000000000000000
deg: 5
c5: 10
c0: 119
skew: 1.64
# Murphy_E = 7.286e-10
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
Max factor residue bits: 50/50
Sieved rational special-q in [1200000, 2300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 8001891
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 523812 x 524060
Total sieving time: 6.47 hours.
Total relation processing time: 0.40 hours.
Matrix solve time: 0.25 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,50,50,2.4,2.4,50000
total time: 7.19 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B1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
800CypDecember 24, 2014 12:36:14 UTC 2014 年 12 月 24 日 (水) 21 時 36 分 14 秒 (日本時間)
403e6800CypDecember 24, 2014 13:08:19 UTC 2014 年 12 月 24 日 (水) 22 時 8 分 19 秒 (日本時間)
4511e6400 / 4261Pierre JammesDecember 24, 2014 18:13:48 UTC 2014 年 12 月 25 日 (木) 3 時 13 分 48 秒 (日本時間)

10158+1193

c145

name 名前Cyp
date 日付December 26, 2014 23:32:18 UTC 2014 年 12 月 27 日 (土) 8 時 32 分 18 秒 (日本時間)
composite number 合成数
2022753634395890552361406817098948316907741010777080438786861383914956454538069179487484464121286889255266311544566677518373669359314856954532027<145>
prime factors 素因数
295945405250907478226608177250024081162272231581777238580491<60>
6834887781687186848183767942569665133038501017940343313025288867394657410681757108497<85>
factorization results 素因数分解の結果
12/26/14 20:41:17 v1.34.3, 
12/26/14 20:41:17 v1.34.3, ****************************
12/26/14 20:41:17 v1.34.3, Starting factorization of 2022753634395890552361406817098948316907741010777080438786861383914956454538069179487484464121286889255266311544566677518373669359314856954532027
12/26/14 20:41:17 v1.34.3, using pretesting plan: none
12/26/14 20:41:17 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/26/14 20:41:17 v1.34.3, ****************************
12/26/14 20:41:17 v1.34.3, nfs: commencing nfs on c145: 2022753634395890552361406817098948316907741010777080438786861383914956454538069179487484464121286889255266311544566677518373669359314856954532027
12/26/14 20:41:17 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/26/14 20:41:17 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/26/14 20:46:04 v1.34.3, nfs: commencing lattice sieving with 8 threads
[43 lines snipped]
12/27/14 00:15:37 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/27/14 00:19:45 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/27/14 00:23:59 v1.34.3, nfs: commencing msieve filtering
12/27/14 00:25:44 v1.34.3, nfs: commencing msieve linear algebra
12/27/14 00:30:59 v1.34.3, nfs: commencing msieve sqrt
12/27/14 00:32:18 v1.34.3, prp60 = 295945405250907478226608177250024081162272231581777238580491
12/27/14 00:32:18 v1.34.3, prp85 = 6834887781687186848183767942569665133038501017940343313025288867394657410681757108497
12/27/14 00:32:18 v1.34.3, NFS elapsed time = 13861.2383 seconds.
12/27/14 00:32:18 v1.34.3, 
12/27/14 00:32:18 v1.34.3, 
12/27/14 00:32:18 v1.34.3, Total factoring time = 13861.2392 seconds
--
Sat Dec 27 00:23:59 2014  
Sat Dec 27 00:23:59 2014  commencing relation filtering
Sat Dec 27 00:23:59 2014  estimated available RAM is 15987.3 MB
Sat Dec 27 00:23:59 2014  commencing duplicate removal, pass 1
Sat Dec 27 00:24:26 2014  found 1811688 hash collisions in 10066787 relations
Sat Dec 27 00:24:35 2014  added 358967 free relations
Sat Dec 27 00:24:35 2014  commencing duplicate removal, pass 2
Sat Dec 27 00:24:43 2014  found 1004193 duplicates and 9421561 unique relations
Sat Dec 27 00:24:43 2014  memory use: 70.6 MB
Sat Dec 27 00:24:43 2014  reading ideals above 100000
Sat Dec 27 00:24:43 2014  commencing singleton removal, initial pass
Sat Dec 27 00:25:23 2014  memory use: 188.2 MB
Sat Dec 27 00:25:23 2014  reading all ideals from disk
Sat Dec 27 00:25:23 2014  memory use: 329.6 MB
Sat Dec 27 00:25:24 2014  keeping 9724939 ideals with weight <= 200, target excess is 50903
Sat Dec 27 00:25:24 2014  commencing in-memory singleton removal
Sat Dec 27 00:25:25 2014  begin with 9421561 relations and 9724939 unique ideals
Sat Dec 27 00:25:27 2014  reduce to 4490905 relations and 3673343 ideals in 13 passes
Sat Dec 27 00:25:27 2014  max relations containing the same ideal: 122
Sat Dec 27 00:25:29 2014  removing 1273126 relations and 893869 ideals in 379257 cliques
Sat Dec 27 00:25:29 2014  commencing in-memory singleton removal
Sat Dec 27 00:25:29 2014  begin with 3217779 relations and 3673343 unique ideals
Sat Dec 27 00:25:30 2014  reduce to 2974419 relations and 2511194 ideals in 9 passes
Sat Dec 27 00:25:30 2014  max relations containing the same ideal: 92
Sat Dec 27 00:25:31 2014  removing 1076734 relations and 697477 ideals in 379257 cliques
Sat Dec 27 00:25:31 2014  commencing in-memory singleton removal
Sat Dec 27 00:25:31 2014  begin with 1897685 relations and 2511194 unique ideals
Sat Dec 27 00:25:32 2014  reduce to 1670229 relations and 1557571 ideals in 9 passes
Sat Dec 27 00:25:32 2014  max relations containing the same ideal: 62
Sat Dec 27 00:25:32 2014  removing 231360 relations and 177750 ideals in 53610 cliques
Sat Dec 27 00:25:32 2014  commencing in-memory singleton removal
Sat Dec 27 00:25:32 2014  begin with 1438869 relations and 1557571 unique ideals
Sat Dec 27 00:25:32 2014  reduce to 1413018 relations and 1353141 ideals in 7 passes
Sat Dec 27 00:25:32 2014  max relations containing the same ideal: 57
Sat Dec 27 00:25:33 2014  relations with 0 large ideals: 1124
Sat Dec 27 00:25:33 2014  relations with 1 large ideals: 562
Sat Dec 27 00:25:33 2014  relations with 2 large ideals: 8389
Sat Dec 27 00:25:33 2014  relations with 3 large ideals: 55053
Sat Dec 27 00:25:33 2014  relations with 4 large ideals: 186813
Sat Dec 27 00:25:33 2014  relations with 5 large ideals: 354810
Sat Dec 27 00:25:33 2014  relations with 6 large ideals: 410945
Sat Dec 27 00:25:33 2014  relations with 7+ large ideals: 395322
Sat Dec 27 00:25:33 2014  commencing 2-way merge
Sat Dec 27 00:25:33 2014  reduce to 875089 relation sets and 815212 unique ideals
Sat Dec 27 00:25:33 2014  commencing full merge
Sat Dec 27 00:25:41 2014  memory use: 106.4 MB
Sat Dec 27 00:25:41 2014  found 451964 cycles, need 443412
Sat Dec 27 00:25:41 2014  weight of 443412 cycles is about 31327778 (70.65/cycle)
Sat Dec 27 00:25:41 2014  distribution of cycle lengths:
Sat Dec 27 00:25:41 2014  1 relations: 40255
Sat Dec 27 00:25:41 2014  2 relations: 43505
Sat Dec 27 00:25:41 2014  3 relations: 46787
Sat Dec 27 00:25:41 2014  4 relations: 46727
Sat Dec 27 00:25:41 2014  5 relations: 45728
Sat Dec 27 00:25:41 2014  6 relations: 42112
Sat Dec 27 00:25:41 2014  7 relations: 37864
Sat Dec 27 00:25:41 2014  8 relations: 32239
Sat Dec 27 00:25:41 2014  9 relations: 26850
Sat Dec 27 00:25:41 2014  10+ relations: 81345
Sat Dec 27 00:25:41 2014  heaviest cycle: 21 relations
Sat Dec 27 00:25:41 2014  commencing cycle optimization
Sat Dec 27 00:25:42 2014  start with 2687579 relations
Sat Dec 27 00:25:44 2014  pruned 82195 relations
Sat Dec 27 00:25:44 2014  memory use: 85.1 MB
Sat Dec 27 00:25:44 2014  distribution of cycle lengths:
Sat Dec 27 00:25:44 2014  1 relations: 40255
Sat Dec 27 00:25:44 2014  2 relations: 44386
Sat Dec 27 00:25:44 2014  3 relations: 48439
Sat Dec 27 00:25:44 2014  4 relations: 48402
Sat Dec 27 00:25:44 2014  5 relations: 47348
Sat Dec 27 00:25:44 2014  6 relations: 43540
Sat Dec 27 00:25:44 2014  7 relations: 39077
Sat Dec 27 00:25:44 2014  8 relations: 32718
Sat Dec 27 00:25:44 2014  9 relations: 26773
Sat Dec 27 00:25:44 2014  10+ relations: 72474
Sat Dec 27 00:25:44 2014  heaviest cycle: 20 relations
Sat Dec 27 00:25:44 2014  RelProcTime: 105
Sat Dec 27 00:25:44 2014  
Sat Dec 27 00:25:44 2014  commencing linear algebra
Sat Dec 27 00:25:44 2014  read 443412 cycles
Sat Dec 27 00:25:45 2014  cycles contain 1371665 unique relations
Sat Dec 27 00:25:54 2014  read 1371665 relations
Sat Dec 27 00:25:55 2014  using 20 quadratic characters above 134214764
Sat Dec 27 00:25:59 2014  building initial matrix
Sat Dec 27 00:26:06 2014  memory use: 170.9 MB
Sat Dec 27 00:26:06 2014  read 443412 cycles
Sat Dec 27 00:26:06 2014  matrix is 443240 x 443412 (132.7 MB) with weight 39379198 (88.81/col)
Sat Dec 27 00:26:06 2014  sparse part has weight 29902889 (67.44/col)
Sat Dec 27 00:26:08 2014  filtering completed in 2 passes
Sat Dec 27 00:26:08 2014  matrix is 443114 x 443290 (132.7 MB) with weight 39374353 (88.82/col)
Sat Dec 27 00:26:08 2014  sparse part has weight 29900679 (67.45/col)
Sat Dec 27 00:26:08 2014  matrix starts at (0, 0)
Sat Dec 27 00:26:09 2014  matrix is 443114 x 443290 (132.7 MB) with weight 39374353 (88.82/col)
Sat Dec 27 00:26:09 2014  sparse part has weight 29900679 (67.45/col)
Sat Dec 27 00:26:09 2014  saving the first 48 matrix rows for later
Sat Dec 27 00:26:09 2014  matrix includes 64 packed rows
Sat Dec 27 00:26:09 2014  matrix is 443066 x 443290 (125.1 MB) with weight 31007665 (69.95/col)
Sat Dec 27 00:26:09 2014  sparse part has weight 28371722 (64.00/col)
Sat Dec 27 00:26:09 2014  using block size 65536 for processor cache size 8192 kB
Sat Dec 27 00:26:10 2014  commencing Lanczos iteration (8 threads)
Sat Dec 27 00:26:10 2014  memory use: 121.1 MB
Sat Dec 27 00:26:17 2014  linear algebra at 2.7%, ETA 0h 4m
Sat Dec 27 00:30:58 2014  lanczos halted after 7009 iterations (dim = 443061)
Sat Dec 27 00:30:59 2014  recovered 34 nontrivial dependencies
Sat Dec 27 00:30:59 2014  BLanczosTime: 315
Sat Dec 27 00:30:59 2014  
Sat Dec 27 00:30:59 2014  commencing square root phase
Sat Dec 27 00:30:59 2014  reading relations for dependency 1
Sat Dec 27 00:30:59 2014  read 221204 cycles
Sat Dec 27 00:30:59 2014  cycles contain 684834 unique relations
Sat Dec 27 00:31:07 2014  read 684834 relations
Sat Dec 27 00:31:08 2014  multiplying 684834 relations
Sat Dec 27 00:31:21 2014  multiply complete, coefficients have about 21.23 million bits
Sat Dec 27 00:31:21 2014  initial square root is modulo 1254541
Sat Dec 27 00:31:38 2014  GCD is N, no factor found
Sat Dec 27 00:31:38 2014  reading relations for dependency 2
Sat Dec 27 00:31:38 2014  read 221666 cycles
Sat Dec 27 00:31:38 2014  cycles contain 685856 unique relations
Sat Dec 27 00:31:46 2014  read 685856 relations
Sat Dec 27 00:31:47 2014  multiplying 685856 relations
Sat Dec 27 00:32:01 2014  multiply complete, coefficients have about 21.26 million bits
Sat Dec 27 00:32:01 2014  initial square root is modulo 1279601
Sat Dec 27 00:32:18 2014  sqrtTime: 79
--
n: 2022753634395890552361406817098948316907741010777080438786861383914956454538069179487484464121286889255266311544566677518373669359314856954532027
m: 10000000000000000000000000000000
deg: 5
c5: 1000
c0: 119
skew: 0.65
# Murphy_E = 5.179e-10
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
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B1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:21:56 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 56 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:47 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 47 秒 (日本時間)

10159+1193

c124

name 名前Cyp
date 日付December 27, 2014 12:29:41 UTC 2014 年 12 月 27 日 (土) 21 時 29 分 41 秒 (日本時間)
composite number 合成数
1726894441604419220482665280046248197801946955138029869951491318207553962217191766507929920524214377527191172942267240215933<124>
prime factors 素因数
1511539773636746377601833800497257844667854676491<49>
1142473702461386193993998428715008825175898478724993346902096375534997767063<76>
factorization results 素因数分解の結果
12/27/14 10:01:57 v1.34.3, 
12/27/14 10:01:57 v1.34.3, ****************************
12/27/14 10:01:57 v1.34.3, Starting factorization of 1726894441604419220482665280046248197801946955138029869951491318207553962217191766507929920524214377527191172942267240215933
12/27/14 10:01:57 v1.34.3, using pretesting plan: none
12/27/14 10:01:57 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/27/14 10:01:57 v1.34.3, ****************************
12/27/14 10:01:57 v1.34.3, nfs: commencing nfs on c124: 1726894441604419220482665280046248197801946955138029869951491318207553962217191766507929920524214377527191172942267240215933
12/27/14 10:01:57 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/27/14 10:01:57 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/27/14 10:02:53 v1.34.3, nfs: commencing lattice sieving with 8 threads
[189 lines snipped]
12/27/14 13:14:19 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/27/14 13:15:28 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/27/14 13:16:35 v1.34.3, nfs: commencing msieve filtering
12/27/14 13:18:54 v1.34.3, nfs: commencing msieve linear algebra
12/27/14 13:28:53 v1.34.3, nfs: commencing msieve sqrt
12/27/14 13:29:40 v1.34.3, prp49 = 1511539773636746377601833800497257844667854676491
12/27/14 13:29:40 v1.34.3, prp76 = 1142473702461386193993998428715008825175898478724993346902096375534997767063
12/27/14 13:29:40 v1.34.3, NFS elapsed time = 12462.8380 seconds.
12/27/14 13:29:40 v1.34.3, 
12/27/14 13:29:40 v1.34.3, 
12/27/14 13:29:40 v1.34.3, Total factoring time = 12462.8385 seconds
--
Sat Dec 27 13:16:35 2014  
Sat Dec 27 13:16:35 2014  commencing relation filtering
Sat Dec 27 13:16:35 2014  estimated available RAM is 15987.3 MB
Sat Dec 27 13:16:35 2014  commencing duplicate removal, pass 1
Sat Dec 27 13:17:06 2014  found 1783628 hash collisions in 10054142 relations
Sat Dec 27 13:17:14 2014  added 355426 free relations
Sat Dec 27 13:17:14 2014  commencing duplicate removal, pass 2
Sat Dec 27 13:17:23 2014  found 1507313 duplicates and 8902255 unique relations
Sat Dec 27 13:17:23 2014  memory use: 45.3 MB
Sat Dec 27 13:17:23 2014  reading ideals above 100000
Sat Dec 27 13:17:23 2014  commencing singleton removal, initial pass
Sat Dec 27 13:18:14 2014  memory use: 188.2 MB
Sat Dec 27 13:18:14 2014  reading all ideals from disk
Sat Dec 27 13:18:14 2014  memory use: 305.9 MB
Sat Dec 27 13:18:15 2014  keeping 9521802 ideals with weight <= 200, target excess is 45636
Sat Dec 27 13:18:16 2014  commencing in-memory singleton removal
Sat Dec 27 13:18:17 2014  begin with 8902255 relations and 9521802 unique ideals
Sat Dec 27 13:18:22 2014  reduce to 3941508 relations and 3375871 ideals in 13 passes
Sat Dec 27 13:18:22 2014  max relations containing the same ideal: 119
Sat Dec 27 13:18:24 2014  removing 1000645 relations and 744295 ideals in 256350 cliques
Sat Dec 27 13:18:24 2014  commencing in-memory singleton removal
Sat Dec 27 13:18:25 2014  begin with 2940863 relations and 3375871 unique ideals
Sat Dec 27 13:18:26 2014  reduce to 2754550 relations and 2429982 ideals in 8 passes
Sat Dec 27 13:18:26 2014  max relations containing the same ideal: 92
Sat Dec 27 13:18:27 2014  removing 820917 relations and 564567 ideals in 256350 cliques
Sat Dec 27 13:18:27 2014  commencing in-memory singleton removal
Sat Dec 27 13:18:28 2014  begin with 1933633 relations and 2429982 unique ideals
Sat Dec 27 13:18:29 2014  reduce to 1777775 relations and 1694534 ideals in 9 passes
Sat Dec 27 13:18:29 2014  max relations containing the same ideal: 72
Sat Dec 27 13:18:29 2014  removing 149535 relations and 119232 ideals in 30303 cliques
Sat Dec 27 13:18:29 2014  commencing in-memory singleton removal
Sat Dec 27 13:18:30 2014  begin with 1628240 relations and 1694534 unique ideals
Sat Dec 27 13:18:30 2014  reduce to 1620621 relations and 1567544 ideals in 6 passes
Sat Dec 27 13:18:30 2014  max relations containing the same ideal: 65
Sat Dec 27 13:18:31 2014  relations with 0 large ideals: 1045
Sat Dec 27 13:18:31 2014  relations with 1 large ideals: 513
Sat Dec 27 13:18:31 2014  relations with 2 large ideals: 8004
Sat Dec 27 13:18:31 2014  relations with 3 large ideals: 56223
Sat Dec 27 13:18:31 2014  relations with 4 large ideals: 197647
Sat Dec 27 13:18:31 2014  relations with 5 large ideals: 395537
Sat Dec 27 13:18:31 2014  relations with 6 large ideals: 480748
Sat Dec 27 13:18:31 2014  relations with 7+ large ideals: 480904
Sat Dec 27 13:18:31 2014  commencing 2-way merge
Sat Dec 27 13:18:32 2014  reduce to 1023111 relation sets and 970034 unique ideals
Sat Dec 27 13:18:32 2014  commencing full merge
Sat Dec 27 13:18:47 2014  memory use: 124.5 MB
Sat Dec 27 13:18:47 2014  found 529305 cycles, need 522234
Sat Dec 27 13:18:47 2014  weight of 522234 cycles is about 36892561 (70.64/cycle)
Sat Dec 27 13:18:47 2014  distribution of cycle lengths:
Sat Dec 27 13:18:47 2014  1 relations: 37031
Sat Dec 27 13:18:47 2014  2 relations: 50672
Sat Dec 27 13:18:47 2014  3 relations: 56567
Sat Dec 27 13:18:47 2014  4 relations: 55618
Sat Dec 27 13:18:47 2014  5 relations: 53670
Sat Dec 27 13:18:47 2014  6 relations: 50249
Sat Dec 27 13:18:47 2014  7 relations: 44544
Sat Dec 27 13:18:47 2014  8 relations: 38825
Sat Dec 27 13:18:47 2014  9 relations: 32563
Sat Dec 27 13:18:47 2014  10+ relations: 102495
Sat Dec 27 13:18:47 2014  heaviest cycle: 20 relations
Sat Dec 27 13:18:47 2014  commencing cycle optimization
Sat Dec 27 13:18:48 2014  start with 3268526 relations
Sat Dec 27 13:18:53 2014  pruned 95883 relations
Sat Dec 27 13:18:53 2014  memory use: 100.9 MB
Sat Dec 27 13:18:53 2014  distribution of cycle lengths:
Sat Dec 27 13:18:53 2014  1 relations: 37031
Sat Dec 27 13:18:53 2014  2 relations: 51712
Sat Dec 27 13:18:53 2014  3 relations: 58674
Sat Dec 27 13:18:53 2014  4 relations: 57376
Sat Dec 27 13:18:53 2014  5 relations: 55572
Sat Dec 27 13:18:53 2014  6 relations: 51601
Sat Dec 27 13:18:53 2014  7 relations: 45619
Sat Dec 27 13:18:53 2014  8 relations: 39511
Sat Dec 27 13:18:53 2014  9 relations: 32677
Sat Dec 27 13:18:53 2014  10+ relations: 92461
Sat Dec 27 13:18:53 2014  heaviest cycle: 20 relations
Sat Dec 27 13:18:54 2014  RelProcTime: 139
Sat Dec 27 13:18:54 2014  
Sat Dec 27 13:18:54 2014  commencing linear algebra
Sat Dec 27 13:18:54 2014  read 522234 cycles
Sat Dec 27 13:18:55 2014  cycles contain 1589359 unique relations
Sat Dec 27 13:19:05 2014  read 1589359 relations
Sat Dec 27 13:19:06 2014  using 20 quadratic characters above 134216760
Sat Dec 27 13:19:11 2014  building initial matrix
Sat Dec 27 13:19:25 2014  memory use: 194.0 MB
Sat Dec 27 13:19:25 2014  read 522234 cycles
Sat Dec 27 13:19:26 2014  matrix is 522065 x 522234 (156.6 MB) with weight 46858483 (89.73/col)
Sat Dec 27 13:19:26 2014  sparse part has weight 35296430 (67.59/col)
Sat Dec 27 13:19:29 2014  filtering completed in 2 passes
Sat Dec 27 13:19:29 2014  matrix is 521979 x 522155 (156.6 MB) with weight 46855485 (89.73/col)
Sat Dec 27 13:19:29 2014  sparse part has weight 35295315 (67.60/col)
Sat Dec 27 13:19:30 2014  matrix starts at (0, 0)
Sat Dec 27 13:19:30 2014  matrix is 521979 x 522155 (156.6 MB) with weight 46855485 (89.73/col)
Sat Dec 27 13:19:30 2014  sparse part has weight 35295315 (67.60/col)
Sat Dec 27 13:19:30 2014  saving the first 48 matrix rows for later
Sat Dec 27 13:19:30 2014  matrix includes 64 packed rows
Sat Dec 27 13:19:30 2014  matrix is 521931 x 522155 (148.0 MB) with weight 37090939 (71.03/col)
Sat Dec 27 13:19:30 2014  sparse part has weight 33575914 (64.30/col)
Sat Dec 27 13:19:30 2014  using block size 65536 for processor cache size 8192 kB
Sat Dec 27 13:19:32 2014  commencing Lanczos iteration (8 threads)
Sat Dec 27 13:19:32 2014  memory use: 143.1 MB
Sat Dec 27 13:19:35 2014  linear algebra at 0.6%, ETA 0h 8m
Sat Dec 27 13:28:52 2014  lanczos halted after 8257 iterations (dim = 521929)
Sat Dec 27 13:28:53 2014  recovered 37 nontrivial dependencies
Sat Dec 27 13:28:53 2014  BLanczosTime: 599
Sat Dec 27 13:28:53 2014  
Sat Dec 27 13:28:53 2014  commencing square root phase
Sat Dec 27 13:28:53 2014  reading relations for dependency 1
Sat Dec 27 13:28:53 2014  read 260763 cycles
Sat Dec 27 13:28:53 2014  cycles contain 793792 unique relations
Sat Dec 27 13:29:03 2014  read 793792 relations
Sat Dec 27 13:29:06 2014  multiplying 793792 relations
Sat Dec 27 13:29:22 2014  multiply complete, coefficients have about 20.00 million bits
Sat Dec 27 13:29:22 2014  initial square root is modulo 554611
Sat Dec 27 13:29:40 2014  sqrtTime: 47
--
n: 1726894441604419220482665280046248197801946955138029869951491318207553962217191766507929920524214377527191172942267240215933
m: 50000000000000000000000000000000
deg: 5
c5: 16
c0: 595
skew: 2.06
# Murphy_E = 5.468e-10
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
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B1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:21:57 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 57 秒 (日本時間)

10160+1193

c104

name 名前Cyp
date 日付December 20, 2014 02:39:12 UTC 2014 年 12 月 20 日 (土) 11 時 39 分 12 秒 (日本時間)
composite number 合成数
17558524251443050076221984506566996357954887271188110254871597442645252498407746538604272660378174256277<104>
prime factors 素因数
23779482581357427619340724778683982249<38>
738389668125434020561127312570841087554220709641364507920462472973<66>
factorization results 素因数分解の結果
12/20/14 02:20:24 v1.34.3, 
12/20/14 02:20:24 v1.34.3, ****************************
12/20/14 02:20:24 v1.34.3, Starting factorization of 17558524251443050076221984506566996357954887271188110254871597442645252498407746538604272660378174256277
12/20/14 02:20:24 v1.34.3, using pretesting plan: none
12/20/14 02:20:24 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/20/14 02:20:24 v1.34.3, ****************************
12/20/14 02:20:24 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C104
12/20/14 02:20:24 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C104
12/20/14 02:20:24 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C104
12/20/14 02:20:24 v1.34.3, final ECM pretested depth: 0.00
12/20/14 02:20:24 v1.34.3, scheduler: switching to sieve method
12/20/14 02:20:24 v1.34.3, nfs: commencing nfs on c104: 17558524251443050076221984506566996357954887271188110254871597442645252498407746538604272660378174256277
12/20/14 02:20:24 v1.34.3, nfs: commencing poly selection with 8 threads
12/20/14 02:20:24 v1.34.3, nfs: setting deadline of 204 seconds
12/20/14 02:24:10 v1.34.3, nfs: completed 13 ranges of size 250 in 225.4213 seconds
12/20/14 02:24:10 v1.34.3, nfs: best poly = # norm 3.269241e-14 alpha -4.593729 e 6.691e-09 rroots 4
12/20/14 02:24:10 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 02:26:26 v1.34.3, nfs: commencing lattice sieving with 8 threads
[19 lines snipped]
12/20/14 03:11:55 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 03:13:31 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 03:15:32 v1.34.3, nfs: commencing msieve filtering
12/20/14 03:16:46 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 03:19:18 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 03:21:45 v1.34.3, nfs: commencing msieve filtering
12/20/14 03:23:07 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 03:25:40 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 03:28:11 v1.34.3, nfs: commencing msieve filtering
12/20/14 03:29:56 v1.34.3, nfs: commencing msieve linear algebra
12/20/14 03:37:11 v1.34.3, nfs: commencing msieve sqrt
12/20/14 03:39:11 v1.34.3, prp66 = 738389668125434020561127312570841087554220709641364507920462472973
12/20/14 03:39:11 v1.34.3, prp38 = 23779482581357427619340724778683982249
12/20/14 03:39:11 v1.34.3, NFS elapsed time = 4726.9884 seconds.
12/20/14 03:39:11 v1.34.3, 
12/20/14 03:39:11 v1.34.3, 
12/20/14 03:39:11 v1.34.3, Total factoring time = 4727.0288 seconds
--
Sat Dec 20 03:15:32 2014  
Sat Dec 20 03:15:32 2014  commencing relation filtering
Sat Dec 20 03:15:32 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 03:15:32 2014  commencing duplicate removal, pass 1
Sat Dec 20 03:15:58 2014  found 458986 hash collisions in 4602843 relations
Sat Dec 20 03:16:04 2014  added 158019 free relations
Sat Dec 20 03:16:04 2014  commencing duplicate removal, pass 2
Sat Dec 20 03:16:10 2014  found 225525 duplicates and 4535337 unique relations
Sat Dec 20 03:16:10 2014  memory use: 20.6 MB
Sat Dec 20 03:16:10 2014  reading ideals above 100000
Sat Dec 20 03:16:10 2014  commencing singleton removal, initial pass
Sat Dec 20 03:16:42 2014  memory use: 172.2 MB
Sat Dec 20 03:16:42 2014  reading all ideals from disk
Sat Dec 20 03:16:42 2014  memory use: 145.2 MB
Sat Dec 20 03:16:42 2014  keeping 5473036 ideals with weight <= 200, target excess is 21672
Sat Dec 20 03:16:42 2014  commencing in-memory singleton removal
Sat Dec 20 03:16:43 2014  begin with 4535337 relations and 5473036 unique ideals
Sat Dec 20 03:16:46 2014  reduce to 940609 relations and 1041899 ideals in 34 passes
Sat Dec 20 03:16:46 2014  max relations containing the same ideal: 71
Sat Dec 20 03:21:45 2014  
Sat Dec 20 03:21:45 2014  commencing relation filtering
Sat Dec 20 03:21:45 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 03:21:45 2014  commencing duplicate removal, pass 1
Sat Dec 20 03:22:13 2014  found 550470 hash collisions in 5159831 relations
Sat Dec 20 03:22:19 2014  added 1370 free relations
Sat Dec 20 03:22:19 2014  commencing duplicate removal, pass 2
Sat Dec 20 03:22:26 2014  found 261856 duplicates and 4899345 unique relations
Sat Dec 20 03:22:26 2014  memory use: 20.6 MB
Sat Dec 20 03:22:26 2014  reading ideals above 100000
Sat Dec 20 03:22:26 2014  commencing singleton removal, initial pass
Sat Dec 20 03:23:02 2014  memory use: 172.2 MB
Sat Dec 20 03:23:02 2014  reading all ideals from disk
Sat Dec 20 03:23:02 2014  memory use: 156.9 MB
Sat Dec 20 03:23:02 2014  keeping 5643229 ideals with weight <= 200, target excess is 23127
Sat Dec 20 03:23:03 2014  commencing in-memory singleton removal
Sat Dec 20 03:23:03 2014  begin with 4899345 relations and 5643229 unique ideals
Sat Dec 20 03:23:07 2014  reduce to 1467821 relations and 1477044 ideals in 22 passes
Sat Dec 20 03:23:07 2014  max relations containing the same ideal: 87
Sat Dec 20 03:28:11 2014  
Sat Dec 20 03:28:11 2014  commencing relation filtering
Sat Dec 20 03:28:11 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 03:28:11 2014  commencing duplicate removal, pass 1
Sat Dec 20 03:28:41 2014  found 630233 hash collisions in 5568133 relations
Sat Dec 20 03:28:46 2014  added 1060 free relations
Sat Dec 20 03:28:46 2014  commencing duplicate removal, pass 2
Sat Dec 20 03:28:52 2014  found 301365 duplicates and 5267828 unique relations
Sat Dec 20 03:28:52 2014  memory use: 20.6 MB
Sat Dec 20 03:28:52 2014  reading ideals above 100000
Sat Dec 20 03:28:52 2014  commencing singleton removal, initial pass
Sat Dec 20 03:29:31 2014  memory use: 172.2 MB
Sat Dec 20 03:29:31 2014  reading all ideals from disk
Sat Dec 20 03:29:31 2014  memory use: 168.8 MB
Sat Dec 20 03:29:32 2014  keeping 5801022 ideals with weight <= 200, target excess is 24915
Sat Dec 20 03:29:32 2014  commencing in-memory singleton removal
Sat Dec 20 03:29:33 2014  begin with 5267828 relations and 5801022 unique ideals
Sat Dec 20 03:29:37 2014  reduce to 1966972 relations and 1852405 ideals in 20 passes
Sat Dec 20 03:29:37 2014  max relations containing the same ideal: 106
Sat Dec 20 03:29:38 2014  removing 352504 relations and 309671 ideals in 42833 cliques
Sat Dec 20 03:29:38 2014  commencing in-memory singleton removal
Sat Dec 20 03:29:38 2014  begin with 1614468 relations and 1852405 unique ideals
Sat Dec 20 03:29:39 2014  reduce to 1559469 relations and 1486039 ideals in 9 passes
Sat Dec 20 03:29:39 2014  max relations containing the same ideal: 88
Sat Dec 20 03:29:40 2014  removing 262545 relations and 219712 ideals in 42833 cliques
Sat Dec 20 03:29:40 2014  commencing in-memory singleton removal
Sat Dec 20 03:29:40 2014  begin with 1296924 relations and 1486039 unique ideals
Sat Dec 20 03:29:41 2014  reduce to 1257465 relations and 1225710 ideals in 9 passes
Sat Dec 20 03:29:41 2014  max relations containing the same ideal: 77
Sat Dec 20 03:29:41 2014  relations with 0 large ideals: 480
Sat Dec 20 03:29:41 2014  relations with 1 large ideals: 242
Sat Dec 20 03:29:41 2014  relations with 2 large ideals: 3340
Sat Dec 20 03:29:41 2014  relations with 3 large ideals: 27738
Sat Dec 20 03:29:41 2014  relations with 4 large ideals: 119622
Sat Dec 20 03:29:41 2014  relations with 5 large ideals: 299792
Sat Dec 20 03:29:41 2014  relations with 6 large ideals: 385168
Sat Dec 20 03:29:41 2014  relations with 7+ large ideals: 421083
Sat Dec 20 03:29:41 2014  commencing 2-way merge
Sat Dec 20 03:29:42 2014  reduce to 711791 relation sets and 680036 unique ideals
Sat Dec 20 03:29:42 2014  commencing full merge
Sat Dec 20 03:29:51 2014  memory use: 75.4 MB
Sat Dec 20 03:29:51 2014  found 337025 cycles, need 332236
Sat Dec 20 03:29:52 2014  weight of 332236 cycles is about 23516780 (70.78/cycle)
Sat Dec 20 03:29:52 2014  distribution of cycle lengths:
Sat Dec 20 03:29:52 2014  1 relations: 35526
Sat Dec 20 03:29:52 2014  2 relations: 33715
Sat Dec 20 03:29:52 2014  3 relations: 33520
Sat Dec 20 03:29:52 2014  4 relations: 31200
Sat Dec 20 03:29:52 2014  5 relations: 28510
Sat Dec 20 03:29:52 2014  6 relations: 25462
Sat Dec 20 03:29:52 2014  7 relations: 22480
Sat Dec 20 03:29:52 2014  8 relations: 19901
Sat Dec 20 03:29:52 2014  9 relations: 17775
Sat Dec 20 03:29:52 2014  10+ relations: 84147
Sat Dec 20 03:29:52 2014  heaviest cycle: 25 relations
Sat Dec 20 03:29:52 2014  commencing cycle optimization
Sat Dec 20 03:29:52 2014  start with 2236680 relations
Sat Dec 20 03:29:55 2014  pruned 51548 relations
Sat Dec 20 03:29:55 2014  memory use: 72.6 MB
Sat Dec 20 03:29:55 2014  distribution of cycle lengths:
Sat Dec 20 03:29:55 2014  1 relations: 35526
Sat Dec 20 03:29:55 2014  2 relations: 34443
Sat Dec 20 03:29:55 2014  3 relations: 34543
Sat Dec 20 03:29:55 2014  4 relations: 31918
Sat Dec 20 03:29:55 2014  5 relations: 29177
Sat Dec 20 03:29:55 2014  6 relations: 25892
Sat Dec 20 03:29:55 2014  7 relations: 22778
Sat Dec 20 03:29:55 2014  8 relations: 20025
Sat Dec 20 03:29:55 2014  9 relations: 17833
Sat Dec 20 03:29:55 2014  10+ relations: 80101
Sat Dec 20 03:29:55 2014  heaviest cycle: 25 relations
Sat Dec 20 03:29:56 2014  RelProcTime: 105
Sat Dec 20 03:29:56 2014  
Sat Dec 20 03:29:56 2014  commencing linear algebra
Sat Dec 20 03:29:56 2014  read 332236 cycles
Sat Dec 20 03:29:56 2014  cycles contain 1202666 unique relations
Sat Dec 20 03:30:07 2014  read 1202666 relations
Sat Dec 20 03:30:08 2014  using 20 quadratic characters above 67105964
Sat Dec 20 03:30:13 2014  building initial matrix
Sat Dec 20 03:30:24 2014  memory use: 146.8 MB
Sat Dec 20 03:30:24 2014  read 332236 cycles
Sat Dec 20 03:30:24 2014  matrix is 332056 x 332236 (100.1 MB) with weight 31367674 (94.41/col)
Sat Dec 20 03:30:24 2014  sparse part has weight 22587884 (67.99/col)
Sat Dec 20 03:30:26 2014  filtering completed in 2 passes
Sat Dec 20 03:30:26 2014  matrix is 331354 x 331534 (100.0 MB) with weight 31337313 (94.52/col)
Sat Dec 20 03:30:26 2014  sparse part has weight 22577330 (68.10/col)
Sat Dec 20 03:30:27 2014  matrix starts at (0, 0)
Sat Dec 20 03:30:27 2014  matrix is 331354 x 331534 (100.0 MB) with weight 31337313 (94.52/col)
Sat Dec 20 03:30:27 2014  sparse part has weight 22577330 (68.10/col)
Sat Dec 20 03:30:27 2014  saving the first 48 matrix rows for later
Sat Dec 20 03:30:27 2014  matrix includes 64 packed rows
Sat Dec 20 03:30:27 2014  matrix is 331306 x 331534 (96.2 MB) with weight 24992785 (75.39/col)
Sat Dec 20 03:30:27 2014  sparse part has weight 21889970 (66.03/col)
Sat Dec 20 03:30:27 2014  using block size 65536 for processor cache size 8192 kB
Sat Dec 20 03:30:29 2014  commencing Lanczos iteration (8 threads)
Sat Dec 20 03:30:29 2014  memory use: 91.2 MB
Sat Dec 20 03:30:45 2014  linear algebra at 3.7%, ETA 0h 7m
Sat Dec 20 03:37:10 2014  lanczos halted after 5242 iterations (dim = 331305)
Sat Dec 20 03:37:11 2014  recovered 33 nontrivial dependencies
Sat Dec 20 03:37:11 2014  BLanczosTime: 435
Sat Dec 20 03:37:11 2014  
Sat Dec 20 03:37:11 2014  commencing square root phase
Sat Dec 20 03:37:11 2014  reading relations for dependency 1
Sat Dec 20 03:37:11 2014  read 165818 cycles
Sat Dec 20 03:37:11 2014  cycles contain 601056 unique relations
Sat Dec 20 03:37:18 2014  read 601056 relations
Sat Dec 20 03:37:21 2014  multiplying 601056 relations
Sat Dec 20 03:37:42 2014  multiply complete, coefficients have about 25.57 million bits
Sat Dec 20 03:37:42 2014  initial square root is modulo 21998159
Sat Dec 20 03:38:11 2014  GCD is N, no factor found
Sat Dec 20 03:38:11 2014  reading relations for dependency 2
Sat Dec 20 03:38:12 2014  read 166153 cycles
Sat Dec 20 03:38:12 2014  cycles contain 602036 unique relations
Sat Dec 20 03:38:20 2014  read 602036 relations
Sat Dec 20 03:38:22 2014  multiplying 602036 relations
Sat Dec 20 03:38:42 2014  multiply complete, coefficients have about 25.61 million bits
Sat Dec 20 03:38:43 2014  initial square root is modulo 22642331
Sat Dec 20 03:39:11 2014  sqrtTime: 120
--
n: 17558524251443050076221984506566996357954887271188110254871597442645252498407746538604272660378174256277
skew: 2563805.03
c0: 25633554448159752325118433768
c1: -27106754103108538413866
c2: -33337333609213253
c3: 10581216456
c4: 2340
Y0: -9307170484676926361090887
Y1: 7002607556731
rlim: 2360000
alim: 2360000
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B1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:01:35 UTC 2014 年 12 月 20 日 (土) 3 時 1 分 35 秒 (日本時間)

10161+1193

c137

name 名前Jo Yeong Uk
date 日付December 28, 2014 11:50:59 UTC 2014 年 12 月 28 日 (日) 20 時 50 分 59 秒 (日本時間)
composite number 合成数
40168913094807293622207341741589993757302432693726852961612099045899744566217894697965146350719898160831252694019482319884999412094406097<137>
prime factors 素因数
4072449585717566429385347413747176400057<40>
9863575287876651055438944868798360001715512809848646845413127506108512683526073224412811928245721<97>
factorization results 素因数分解の結果
Number: 33373_161
N=40168913094807293622207341741589993757302432693726852961612099045899744566217894697965146350719898160831252694019482319884999412094406097
  ( 137 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=4072449585717566429385347413747176400057
 r2=9863575287876651055438944868798360001715512809848646845413127506108512683526073224412811928245721
Version: 
Total time: 10.85 hours.
Scaled time: 56.32 units (timescale=5.191).
Factorization parameters were as follows:
n: 40168913094807293622207341741589993757302432693726852961612099045899744566217894697965146350719898160831252694019482319884999412094406097
m: 100000000000000000000000000000000
deg: 5
c5: 10
c0: 119
skew: 1.64
# Murphy_E = 4.671e-10
type: snfs
lss: 1
rlim: 3300000
alim: 3300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3300000/3300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1650000, 3225001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9256045
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 715187 x 715435
Total sieving time: 9.79 hours.
Total relation processing time: 0.46 hours.
Matrix solve time: 0.49 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3300000,3300000,27,27,51,51,2.4,2.4,75000
total time: 10.85 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B1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:21:57 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 57 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:47 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 47 秒 (日本時間)

10165+1193

c129

name 名前Serge Batalov
date 日付December 21, 2014 01:56:38 UTC 2014 年 12 月 21 日 (日) 10 時 56 分 38 秒 (日本時間)
composite number 合成数
888079231373202985366437175972109586460776706032107230291020007604056879864715316379736756786330985296854381226825642768414636737<129>
prime factors 素因数
2500103826319917656702518778671099<34>
composite cofactor 合成数の残り
355216940202211751759427472409074689160379060216092909266748089194188097267737732948135848392563<96>
factorization results 素因数分解の結果
Input number is 888079231373202985366437175972109586460776706032107230291020007604056879864715316379736756786330985296854381226825642768414636737 (129 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2587814468
Step 1 took 7623ms
Step 2 took 6496ms
********** Factor found in step 2: 2500103826319917656702518778671099
Found probable prime factor of 34 digits: 2500103826319917656702518778671099
Composite cofactor 355216940202211751759427472409074689160379060216092909266748089194188097267737732948135848392563 has 96 digits

c96

name 名前Dmitry Domanov
date 日付December 22, 2014 01:07:36 UTC 2014 年 12 月 22 日 (月) 10 時 7 分 36 秒 (日本時間)
composite number 合成数
355216940202211751759427472409074689160379060216092909266748089194188097267737732948135848392563<96>
prime factors 素因数
710298847605126323093798397713030867783<39>
500095053511456806335831292844774836336717250584656236661<57>
factorization results 素因数分解の結果
N=355216940202211751759427472409074689160379060216092909266748089194188097267737732948135848392563
  ( 96 digits)
Divisors found:
 r1=710298847605126323093798397713030867783 (pp39)
 r2=500095053511456806335831292844774836336717250584656236661 (pp57)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 2.31 hours.
Scaled time: 4.20 units (timescale=1.814).
Factorization parameters were as follows:
n: 355216940202211751759427472409074689160379060216092909266748089194188097267737732948135848392563
skew: 523524.67
c0: -48970215666269441567424765
c1: 1260673765591826511112
c2: -1253750387755123
c3: -1614003320
c4: 6996
Y0: -84413587885215639817756
Y1: 4693254449233
rlim: 1560000
alim: 1560000
lpbr: 25
lpba: 25
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 1560000/1560000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 50/50
Sieved algebraic special-q in [780000, 1020001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 152082 x 152310
Total sieving time: 2.16 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,95,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1560000,1560000,25,25,50,50,2.5,2.5,60000
total time: 2.31 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:21:58 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 58 秒 (日本時間)

10166+1193

c147

name 名前Cyp
date 日付February 26, 2015 16:17:29 UTC 2015 年 2 月 27 日 (金) 1 時 17 分 29 秒 (日本時間)
composite number 合成数
193730411588713421227277514951987332379614411310244081367357803839612791413566416729311583768758674851390145209210202302223744583741388680015975937<147>
prime factors 素因数
4951976943278702213624825194804582803815815223406376420237489<61>
39121832312176434130221419614933378740318577097831725049455403019208712359066685169233<86>
factorization results 素因数分解の結果
02/26/15 12:10:55 v1.34.3, 
02/26/15 12:10:55 v1.34.3, ****************************
02/26/15 12:10:55 v1.34.3, Starting factorization of 193730411588713421227277514951987332379614411310244081367357803839612791413566416729311583768758674851390145209210202302223744583741388680015975937
02/26/15 12:10:55 v1.34.3, using pretesting plan: none
02/26/15 12:10:55 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
02/26/15 12:10:55 v1.34.3, ****************************
02/26/15 12:10:55 v1.34.3, nfs: commencing nfs on c147: 193730411588713421227277514951987332379614411310244081367357803839612791413566416729311583768758674851390145209210202302223744583741388680015975937
02/26/15 12:10:55 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
02/26/15 12:10:55 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/26/15 12:15:20 v1.34.3, nfs: commencing lattice sieving with 8 threads
[58 lines snipped]
02/26/15 16:41:00 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/26/15 16:45:36 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/26/15 16:50:08 v1.34.3, nfs: commencing msieve filtering
02/26/15 16:52:05 v1.34.3, nfs: commencing msieve linear algebra
02/26/15 17:13:34 v1.34.3, nfs: commencing msieve sqrt
02/26/15 17:17:28 v1.34.3, prp61 = 4951976943278702213624825194804582803815815223406376420237489
02/26/15 17:17:28 v1.34.3, prp86 = 39121832312176434130221419614933378740318577097831725049455403019208712359066685169233
02/26/15 17:17:28 v1.34.3, NFS elapsed time = 18392.9345 seconds.
02/26/15 17:17:28 v1.34.3, 
02/26/15 17:17:28 v1.34.3, 
02/26/15 17:17:28 v1.34.3, Total factoring time = 18392.9353 seconds
--
Thu Feb 26 16:50:08 2015  
Thu Feb 26 16:50:08 2015  commencing relation filtering
Thu Feb 26 16:50:08 2015  estimated available RAM is 15987.3 MB
Thu Feb 26 16:50:08 2015  commencing duplicate removal, pass 1
Thu Feb 26 16:50:35 2015  found 1405439 hash collisions in 10068381 relations
Thu Feb 26 16:50:44 2015  added 365511 free relations
Thu Feb 26 16:50:44 2015  commencing duplicate removal, pass 2
Thu Feb 26 16:50:52 2015  found 981989 duplicates and 9451903 unique relations
Thu Feb 26 16:50:52 2015  memory use: 41.3 MB
Thu Feb 26 16:50:52 2015  reading ideals above 100000
Thu Feb 26 16:50:52 2015  commencing singleton removal, initial pass
Thu Feb 26 16:51:33 2015  memory use: 344.5 MB
Thu Feb 26 16:51:33 2015  reading all ideals from disk
Thu Feb 26 16:51:34 2015  memory use: 340.2 MB
Thu Feb 26 16:51:34 2015  keeping 10336694 ideals with weight <= 200, target excess is 49932
Thu Feb 26 16:51:35 2015  commencing in-memory singleton removal
Thu Feb 26 16:51:35 2015  begin with 9451903 relations and 10336694 unique ideals
Thu Feb 26 16:51:39 2015  reduce to 4008395 relations and 3704173 ideals in 15 passes
Thu Feb 26 16:51:39 2015  max relations containing the same ideal: 113
Thu Feb 26 16:51:40 2015  removing 737652 relations and 614502 ideals in 123150 cliques
Thu Feb 26 16:51:40 2015  commencing in-memory singleton removal
Thu Feb 26 16:51:40 2015  begin with 3270743 relations and 3704173 unique ideals
Thu Feb 26 16:51:41 2015  reduce to 3155002 relations and 2969379 ideals in 11 passes
Thu Feb 26 16:51:41 2015  max relations containing the same ideal: 96
Thu Feb 26 16:51:42 2015  removing 579020 relations and 455870 ideals in 123150 cliques
Thu Feb 26 16:51:42 2015  commencing in-memory singleton removal
Thu Feb 26 16:51:42 2015  begin with 2575982 relations and 2969379 unique ideals
Thu Feb 26 16:51:43 2015  reduce to 2487795 relations and 2421794 ideals in 8 passes
Thu Feb 26 16:51:43 2015  max relations containing the same ideal: 86
Thu Feb 26 16:51:44 2015  removing 65146 relations and 57067 ideals in 8079 cliques
Thu Feb 26 16:51:44 2015  commencing in-memory singleton removal
Thu Feb 26 16:51:44 2015  begin with 2422649 relations and 2421794 unique ideals
Thu Feb 26 16:51:45 2015  reduce to 2421596 relations and 2363668 ideals in 7 passes
Thu Feb 26 16:51:45 2015  max relations containing the same ideal: 84
Thu Feb 26 16:51:45 2015  relations with 0 large ideals: 1139
Thu Feb 26 16:51:45 2015  relations with 1 large ideals: 303
Thu Feb 26 16:51:45 2015  relations with 2 large ideals: 4825
Thu Feb 26 16:51:45 2015  relations with 3 large ideals: 40924
Thu Feb 26 16:51:45 2015  relations with 4 large ideals: 181159
Thu Feb 26 16:51:45 2015  relations with 5 large ideals: 460550
Thu Feb 26 16:51:45 2015  relations with 6 large ideals: 708574
Thu Feb 26 16:51:45 2015  relations with 7+ large ideals: 1024122
Thu Feb 26 16:51:45 2015  commencing 2-way merge
Thu Feb 26 16:51:46 2015  reduce to 1444247 relation sets and 1386319 unique ideals
Thu Feb 26 16:51:46 2015  commencing full merge
Thu Feb 26 16:51:59 2015  memory use: 175.2 MB
Thu Feb 26 16:52:00 2015  found 734016 cycles, need 726519
Thu Feb 26 16:52:00 2015  weight of 726519 cycles is about 51188848 (70.46/cycle)
Thu Feb 26 16:52:00 2015  distribution of cycle lengths:
Thu Feb 26 16:52:00 2015  1 relations: 86155
Thu Feb 26 16:52:00 2015  2 relations: 79167
Thu Feb 26 16:52:00 2015  3 relations: 78846
Thu Feb 26 16:52:00 2015  4 relations: 72991
Thu Feb 26 16:52:00 2015  5 relations: 68219
Thu Feb 26 16:52:00 2015  6 relations: 60657
Thu Feb 26 16:52:00 2015  7 relations: 53325
Thu Feb 26 16:52:00 2015  8 relations: 46543
Thu Feb 26 16:52:00 2015  9 relations: 39179
Thu Feb 26 16:52:00 2015  10+ relations: 141437
Thu Feb 26 16:52:00 2015  heaviest cycle: 22 relations
Thu Feb 26 16:52:00 2015  commencing cycle optimization
Thu Feb 26 16:52:00 2015  start with 4360957 relations
Thu Feb 26 16:52:04 2015  pruned 103686 relations
Thu Feb 26 16:52:04 2015  memory use: 143.1 MB
Thu Feb 26 16:52:04 2015  distribution of cycle lengths:
Thu Feb 26 16:52:04 2015  1 relations: 86155
Thu Feb 26 16:52:04 2015  2 relations: 80699
Thu Feb 26 16:52:04 2015  3 relations: 81412
Thu Feb 26 16:52:04 2015  4 relations: 74774
Thu Feb 26 16:52:04 2015  5 relations: 69818
Thu Feb 26 16:52:04 2015  6 relations: 61705
Thu Feb 26 16:52:04 2015  7 relations: 54142
Thu Feb 26 16:52:04 2015  8 relations: 46787
Thu Feb 26 16:52:04 2015  9 relations: 39233
Thu Feb 26 16:52:04 2015  10+ relations: 131794
Thu Feb 26 16:52:04 2015  heaviest cycle: 21 relations
Thu Feb 26 16:52:05 2015  RelProcTime: 117
Thu Feb 26 16:52:05 2015  
Thu Feb 26 16:52:05 2015  commencing linear algebra
Thu Feb 26 16:52:05 2015  read 726519 cycles
Thu Feb 26 16:52:06 2015  cycles contain 2377330 unique relations
Thu Feb 26 16:52:17 2015  read 2377330 relations
Thu Feb 26 16:52:19 2015  using 20 quadratic characters above 134217354
Thu Feb 26 16:52:26 2015  building initial matrix
Thu Feb 26 16:52:38 2015  memory use: 294.2 MB
Thu Feb 26 16:52:38 2015  read 726519 cycles
Thu Feb 26 16:52:38 2015  matrix is 726344 x 726519 (218.3 MB) with weight 64517692 (88.80/col)
Thu Feb 26 16:52:38 2015  sparse part has weight 49221622 (67.75/col)
Thu Feb 26 16:52:42 2015  filtering completed in 2 passes
Thu Feb 26 16:52:43 2015  matrix is 726015 x 726191 (218.2 MB) with weight 64508009 (88.83/col)
Thu Feb 26 16:52:43 2015  sparse part has weight 49219072 (67.78/col)
Thu Feb 26 16:52:44 2015  matrix starts at (0, 0)
Thu Feb 26 16:52:44 2015  matrix is 726015 x 726191 (218.2 MB) with weight 64508009 (88.83/col)
Thu Feb 26 16:52:44 2015  sparse part has weight 49219072 (67.78/col)
Thu Feb 26 16:52:44 2015  saving the first 48 matrix rows for later
Thu Feb 26 16:52:45 2015  matrix includes 64 packed rows
Thu Feb 26 16:52:45 2015  matrix is 725967 x 726191 (206.0 MB) with weight 50965353 (70.18/col)
Thu Feb 26 16:52:45 2015  sparse part has weight 46743513 (64.37/col)
Thu Feb 26 16:52:45 2015  using block size 65536 for processor cache size 8192 kB
Thu Feb 26 16:52:46 2015  commencing Lanczos iteration (8 threads)
Thu Feb 26 16:52:46 2015  memory use: 200.8 MB
Thu Feb 26 16:52:51 2015  linear algebra at 0.4%, ETA 0h19m
Thu Feb 26 17:13:34 2015  lanczos halted after 11483 iterations (dim = 725967)
Thu Feb 26 17:13:34 2015  recovered 38 nontrivial dependencies
Thu Feb 26 17:13:34 2015  BLanczosTime: 1289
Thu Feb 26 17:13:34 2015  
Thu Feb 26 17:13:34 2015  commencing square root phase
Thu Feb 26 17:13:34 2015  reading relations for dependency 1
Thu Feb 26 17:13:34 2015  read 362376 cycles
Thu Feb 26 17:13:34 2015  cycles contain 1186264 unique relations
Thu Feb 26 17:13:43 2015  read 1186264 relations
Thu Feb 26 17:13:46 2015  multiplying 1186264 relations
Thu Feb 26 17:14:06 2015  multiply complete, coefficients have about 30.03 million bits
Thu Feb 26 17:14:06 2015  initial square root is modulo 419597891
Thu Feb 26 17:14:32 2015  GCD is N, no factor found
Thu Feb 26 17:14:32 2015  reading relations for dependency 2
Thu Feb 26 17:14:32 2015  read 363043 cycles
Thu Feb 26 17:14:32 2015  cycles contain 1188696 unique relations
Thu Feb 26 17:14:41 2015  read 1188696 relations
Thu Feb 26 17:14:44 2015  multiplying 1188696 relations
Thu Feb 26 17:15:04 2015  multiply complete, coefficients have about 30.09 million bits
Thu Feb 26 17:15:04 2015  initial square root is modulo 437276981
Thu Feb 26 17:15:30 2015  GCD is N, no factor found
Thu Feb 26 17:15:30 2015  reading relations for dependency 3
Thu Feb 26 17:15:30 2015  read 363086 cycles
Thu Feb 26 17:15:31 2015  cycles contain 1189056 unique relations
Thu Feb 26 17:15:40 2015  read 1189056 relations
Thu Feb 26 17:15:42 2015  multiplying 1189056 relations
Thu Feb 26 17:16:02 2015  multiply complete, coefficients have about 30.10 million bits
Thu Feb 26 17:16:02 2015  initial square root is modulo 440202671
Thu Feb 26 17:16:29 2015  GCD is N, no factor found
Thu Feb 26 17:16:29 2015  reading relations for dependency 4
Thu Feb 26 17:16:29 2015  read 362703 cycles
Thu Feb 26 17:16:29 2015  cycles contain 1187532 unique relations
Thu Feb 26 17:16:38 2015  read 1187532 relations
Thu Feb 26 17:16:41 2015  multiplying 1187532 relations
Thu Feb 26 17:17:01 2015  multiply complete, coefficients have about 30.06 million bits
Thu Feb 26 17:17:01 2015  initial square root is modulo 428937961
Thu Feb 26 17:17:28 2015  sqrtTime: 234
--
n: 193730411588713421227277514951987332379614411310244081367357803839612791413566416729311583768758674851390145209210202302223744583741388680015975937
m: 1000000000000000000000000000000000
deg: 5
c5: 10
c0: 119
skew: 1.64
# Murphy_E = 2.98e-10
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
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B1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e62950300Serge BatalovDecember 20, 2014 21:21:58 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 58 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:48 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 48 秒 (日本時間)
2350Ignacio SantosFebruary 22, 2015 10:03:47 UTC 2015 年 2 月 22 日 (日) 19 時 3 分 47 秒 (日本時間)

10167+1193

c140

name 名前Serge Batalov
date 日付December 21, 2014 01:56:42 UTC 2014 年 12 月 21 日 (日) 10 時 56 分 42 秒 (日本時間)
composite number 合成数
50043467427466283156383489070123799373356826909645940191803075799696920547729410273325403465017013250463673592840037765290076993129419954781<140>
prime factors 素因数
14152626103462048483593203917439<32>
composite cofactor 合成数の残り
3535984562979766218942957277545420388879455740161820046370956454295726371559298097418396074132126757693938979<109>
factorization results 素因数分解の結果
Input number is 50043467427466283156383489070123799373356826909645940191803075799696920547729410273325403465017013250463673592840037765290076993129419954781 (140 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1102805466
Step 1 took 9131ms
Step 2 took 239ms
********** Factor found in step 2: 14152626103462048483593203917439
Found probable prime factor of 32 digits: 14152626103462048483593203917439
Composite cofactor 3535984562979766218942957277545420388879455740161820046370956454295726371559298097418396074132126757693938979 has 109 digits

c109

name 名前Cyp
date 日付December 23, 2014 12:48:43 UTC 2014 年 12 月 23 日 (火) 21 時 48 分 43 秒 (日本時間)
composite number 合成数
3535984562979766218942957277545420388879455740161820046370956454295726371559298097418396074132126757693938979<109>
prime factors 素因数
308066897275418282208332148308984922851213<42>
11477976355955316055129065647059283411045441317878823845786396259183<68>
factorization results 素因数分解の結果
12/23/14 11:08:05 v1.34.3, 
12/23/14 11:08:05 v1.34.3, ****************************
12/23/14 11:08:05 v1.34.3, Starting factorization of 3535984562979766218942957277545420388879455740161820046370956454295726371559298097418396074132126757693938979
12/23/14 11:08:05 v1.34.3, using pretesting plan: none
12/23/14 11:08:05 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/23/14 11:08:05 v1.34.3, ****************************
12/23/14 11:08:05 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C109
12/23/14 11:08:05 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C109
12/23/14 11:08:05 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C109
12/23/14 11:08:05 v1.34.3, final ECM pretested depth: 0.00
12/23/14 11:08:05 v1.34.3, scheduler: switching to sieve method
12/23/14 11:08:05 v1.34.3, nfs: commencing nfs on c109: 3535984562979766218942957277545420388879455740161820046370956454295726371559298097418396074132126757693938979
12/23/14 11:08:05 v1.34.3, nfs: commencing poly selection with 8 threads
12/23/14 11:08:05 v1.34.3, nfs: setting deadline of 397 seconds
12/23/14 11:15:42 v1.34.3, nfs: completed 27 ranges of size 250 in 457.0013 seconds
12/23/14 11:15:42 v1.34.3, nfs: best poly = # norm 5.266111e-15 alpha -5.320174 e 2.898e-09 rroots 2
12/23/14 11:15:42 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 11:25:13 v1.34.3, nfs: commencing lattice sieving with 8 threads
[7 lines snipped]
12/23/14 12:42:09 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 12:51:58 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 13:01:08 v1.34.3, nfs: commencing msieve filtering
12/23/14 13:02:28 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 13:12:01 v1.34.3, nfs: commencing msieve filtering
12/23/14 13:13:21 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 13:22:55 v1.34.3, nfs: commencing msieve filtering
12/23/14 13:24:34 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 13:33:53 v1.34.3, nfs: commencing msieve filtering
12/23/14 13:35:56 v1.34.3, nfs: commencing msieve linear algebra
12/23/14 13:47:14 v1.34.3, nfs: commencing msieve sqrt
12/23/14 13:48:42 v1.34.3, prp42 = 308066897275418282208332148308984922851213
12/23/14 13:48:42 v1.34.3, prp68 = 11477976355955316055129065647059283411045441317878823845786396259183
12/23/14 13:48:42 v1.34.3, NFS elapsed time = 9636.8881 seconds.
12/23/14 13:48:42 v1.34.3, 
12/23/14 13:48:42 v1.34.3, 
12/23/14 13:48:42 v1.34.3, Total factoring time = 9636.9285 seconds
--
Tue Dec 23 13:01:08 2014  
Tue Dec 23 13:01:08 2014  commencing relation filtering
Tue Dec 23 13:01:08 2014  estimated available RAM is 15987.3 MB
Tue Dec 23 13:01:08 2014  commencing duplicate removal, pass 1
Tue Dec 23 13:01:34 2014  found 417586 hash collisions in 4617070 relations
Tue Dec 23 13:01:41 2014  added 160672 free relations
Tue Dec 23 13:01:41 2014  commencing duplicate removal, pass 2
Tue Dec 23 13:01:47 2014  found 168307 duplicates and 4609435 unique relations
Tue Dec 23 13:01:47 2014  memory use: 19.6 MB
Tue Dec 23 13:01:47 2014  reading ideals above 100000
Tue Dec 23 13:01:47 2014  commencing singleton removal, initial pass
Tue Dec 23 13:02:25 2014  memory use: 172.2 MB
Tue Dec 23 13:02:25 2014  reading all ideals from disk
Tue Dec 23 13:02:25 2014  memory use: 154.4 MB
Tue Dec 23 13:02:26 2014  keeping 5667971 ideals with weight <= 200, target excess is 23720
Tue Dec 23 13:02:26 2014  commencing in-memory singleton removal
Tue Dec 23 13:02:26 2014  begin with 4609435 relations and 5667971 unique ideals
Tue Dec 23 13:02:28 2014  reduce to 420 relations and 0 ideals in 30 passes
Tue Dec 23 13:02:28 2014  max relations containing the same ideal: 0
Tue Dec 23 13:12:01 2014  
Tue Dec 23 13:12:01 2014  commencing relation filtering
Tue Dec 23 13:12:01 2014  estimated available RAM is 15987.3 MB
Tue Dec 23 13:12:01 2014  commencing duplicate removal, pass 1
Tue Dec 23 13:12:22 2014  found 507355 hash collisions in 5190505 relations
Tue Dec 23 13:12:28 2014  added 1043 free relations
Tue Dec 23 13:12:28 2014  commencing duplicate removal, pass 2
Tue Dec 23 13:12:34 2014  found 197502 duplicates and 4994046 unique relations
Tue Dec 23 13:12:34 2014  memory use: 20.6 MB
Tue Dec 23 13:12:34 2014  reading ideals above 100000
Tue Dec 23 13:12:34 2014  commencing singleton removal, initial pass
Tue Dec 23 13:13:14 2014  memory use: 172.2 MB
Tue Dec 23 13:13:14 2014  reading all ideals from disk
Tue Dec 23 13:13:15 2014  memory use: 167.4 MB
Tue Dec 23 13:13:15 2014  keeping 5838897 ideals with weight <= 200, target excess is 25753
Tue Dec 23 13:13:15 2014  commencing in-memory singleton removal
Tue Dec 23 13:13:16 2014  begin with 4994046 relations and 5838897 unique ideals
Tue Dec 23 13:13:21 2014  reduce to 1377869 relations and 1483141 ideals in 30 passes
Tue Dec 23 13:13:21 2014  max relations containing the same ideal: 84
Tue Dec 23 13:22:55 2014  
Tue Dec 23 13:22:55 2014  commencing relation filtering
Tue Dec 23 13:22:55 2014  estimated available RAM is 15987.3 MB
Tue Dec 23 13:22:55 2014  commencing duplicate removal, pass 1
Tue Dec 23 13:23:28 2014  found 583430 hash collisions in 5607645 relations
Tue Dec 23 13:23:35 2014  added 822 free relations
Tue Dec 23 13:23:35 2014  commencing duplicate removal, pass 2
Tue Dec 23 13:23:42 2014  found 228760 duplicates and 5379707 unique relations
Tue Dec 23 13:23:42 2014  memory use: 20.6 MB
Tue Dec 23 13:23:42 2014  reading ideals above 100000
Tue Dec 23 13:23:42 2014  commencing singleton removal, initial pass
Tue Dec 23 13:24:28 2014  memory use: 172.2 MB
Tue Dec 23 13:24:28 2014  reading all ideals from disk
Tue Dec 23 13:24:28 2014  memory use: 180.5 MB
Tue Dec 23 13:24:29 2014  keeping 5994289 ideals with weight <= 200, target excess is 28040
Tue Dec 23 13:24:29 2014  commencing in-memory singleton removal
Tue Dec 23 13:24:30 2014  begin with 5379707 relations and 5994289 unique ideals
Tue Dec 23 13:24:34 2014  reduce to 1976530 relations and 1955231 ideals in 21 passes
Tue Dec 23 13:24:34 2014  max relations containing the same ideal: 104
Tue Dec 23 13:33:53 2014  
Tue Dec 23 13:33:53 2014  commencing relation filtering
Tue Dec 23 13:33:53 2014  estimated available RAM is 15987.3 MB
Tue Dec 23 13:33:53 2014  commencing duplicate removal, pass 1
Tue Dec 23 13:34:19 2014  found 664153 hash collisions in 6025127 relations
Tue Dec 23 13:34:26 2014  added 566 free relations
Tue Dec 23 13:34:26 2014  commencing duplicate removal, pass 2
Tue Dec 23 13:34:34 2014  found 262167 duplicates and 5763526 unique relations
Tue Dec 23 13:34:34 2014  memory use: 20.6 MB
Tue Dec 23 13:34:34 2014  reading ideals above 100000
Tue Dec 23 13:34:34 2014  commencing singleton removal, initial pass
Tue Dec 23 13:35:23 2014  memory use: 172.2 MB
Tue Dec 23 13:35:23 2014  reading all ideals from disk
Tue Dec 23 13:35:23 2014  memory use: 193.5 MB
Tue Dec 23 13:35:23 2014  keeping 6134430 ideals with weight <= 200, target excess is 30362
Tue Dec 23 13:35:24 2014  commencing in-memory singleton removal
Tue Dec 23 13:35:24 2014  begin with 5763526 relations and 6134430 unique ideals
Tue Dec 23 13:35:30 2014  reduce to 2538663 relations and 2359794 ideals in 21 passes
Tue Dec 23 13:35:30 2014  max relations containing the same ideal: 119
Tue Dec 23 13:35:32 2014  removing 492482 relations and 420657 ideals in 71825 cliques
Tue Dec 23 13:35:32 2014  commencing in-memory singleton removal
Tue Dec 23 13:35:32 2014  begin with 2046181 relations and 2359794 unique ideals
Tue Dec 23 13:35:34 2014  reduce to 1963530 relations and 1853328 ideals in 9 passes
Tue Dec 23 13:35:34 2014  max relations containing the same ideal: 98
Tue Dec 23 13:35:35 2014  removing 375103 relations and 303278 ideals in 71825 cliques
Tue Dec 23 13:35:35 2014  commencing in-memory singleton removal
Tue Dec 23 13:35:35 2014  begin with 1588427 relations and 1853328 unique ideals
Tue Dec 23 13:35:36 2014  reduce to 1526228 relations and 1485503 ideals in 10 passes
Tue Dec 23 13:35:36 2014  max relations containing the same ideal: 85
Tue Dec 23 13:35:37 2014  relations with 0 large ideals: 511
Tue Dec 23 13:35:37 2014  relations with 1 large ideals: 327
Tue Dec 23 13:35:37 2014  relations with 2 large ideals: 3538
Tue Dec 23 13:35:37 2014  relations with 3 large ideals: 28136
Tue Dec 23 13:35:37 2014  relations with 4 large ideals: 120708
Tue Dec 23 13:35:37 2014  relations with 5 large ideals: 320771
Tue Dec 23 13:35:37 2014  relations with 6 large ideals: 445025
Tue Dec 23 13:35:37 2014  relations with 7+ large ideals: 607212
Tue Dec 23 13:35:37 2014  commencing 2-way merge
Tue Dec 23 13:35:38 2014  reduce to 886033 relation sets and 845310 unique ideals
Tue Dec 23 13:35:38 2014  ignored 2 oversize relation sets
Tue Dec 23 13:35:38 2014  commencing full merge
Tue Dec 23 13:35:51 2014  memory use: 92.4 MB
Tue Dec 23 13:35:51 2014  found 428235 cycles, need 419510
Tue Dec 23 13:35:51 2014  weight of 419510 cycles is about 29630948 (70.63/cycle)
Tue Dec 23 13:35:51 2014  distribution of cycle lengths:
Tue Dec 23 13:35:51 2014  1 relations: 44189
Tue Dec 23 13:35:51 2014  2 relations: 43849
Tue Dec 23 13:35:51 2014  3 relations: 45339
Tue Dec 23 13:35:51 2014  4 relations: 41658
Tue Dec 23 13:35:51 2014  5 relations: 38709
Tue Dec 23 13:35:51 2014  6 relations: 34066
Tue Dec 23 13:35:51 2014  7 relations: 29981
Tue Dec 23 13:35:51 2014  8 relations: 26814
Tue Dec 23 13:35:51 2014  9 relations: 23164
Tue Dec 23 13:35:51 2014  10+ relations: 91741
Tue Dec 23 13:35:51 2014  heaviest cycle: 22 relations
Tue Dec 23 13:35:51 2014  commencing cycle optimization
Tue Dec 23 13:35:52 2014  start with 2643290 relations
Tue Dec 23 13:35:55 2014  pruned 61046 relations
Tue Dec 23 13:35:55 2014  memory use: 87.1 MB
Tue Dec 23 13:35:55 2014  distribution of cycle lengths:
Tue Dec 23 13:35:55 2014  1 relations: 44189
Tue Dec 23 13:35:55 2014  2 relations: 44863
Tue Dec 23 13:35:55 2014  3 relations: 46737
Tue Dec 23 13:35:55 2014  4 relations: 42743
Tue Dec 23 13:35:55 2014  5 relations: 39570
Tue Dec 23 13:35:55 2014  6 relations: 34662
Tue Dec 23 13:35:55 2014  7 relations: 30292
Tue Dec 23 13:35:55 2014  8 relations: 26952
Tue Dec 23 13:35:55 2014  9 relations: 23028
Tue Dec 23 13:35:55 2014  10+ relations: 86474
Tue Dec 23 13:35:55 2014  heaviest cycle: 22 relations
Tue Dec 23 13:35:56 2014  RelProcTime: 123
Tue Dec 23 13:35:56 2014  
Tue Dec 23 13:35:56 2014  commencing linear algebra
Tue Dec 23 13:35:56 2014  read 419510 cycles
Tue Dec 23 13:35:57 2014  cycles contain 1450332 unique relations
Tue Dec 23 13:36:09 2014  read 1450332 relations
Tue Dec 23 13:36:11 2014  using 20 quadratic characters above 67108290
Tue Dec 23 13:36:17 2014  building initial matrix
Tue Dec 23 13:36:34 2014  memory use: 180.2 MB
Tue Dec 23 13:36:35 2014  read 419510 cycles
Tue Dec 23 13:36:35 2014  matrix is 419331 x 419510 (126.3 MB) with weight 39785980 (94.84/col)
Tue Dec 23 13:36:35 2014  sparse part has weight 28502688 (67.94/col)
Tue Dec 23 13:36:38 2014  filtering completed in 2 passes
Tue Dec 23 13:36:38 2014  matrix is 418202 x 418381 (126.2 MB) with weight 39735868 (94.98/col)
Tue Dec 23 13:36:38 2014  sparse part has weight 28484429 (68.08/col)
Tue Dec 23 13:36:40 2014  matrix starts at (0, 0)
Tue Dec 23 13:36:40 2014  matrix is 418202 x 418381 (126.2 MB) with weight 39735868 (94.98/col)
Tue Dec 23 13:36:40 2014  sparse part has weight 28484429 (68.08/col)
Tue Dec 23 13:36:40 2014  saving the first 48 matrix rows for later
Tue Dec 23 13:36:40 2014  matrix includes 64 packed rows
Tue Dec 23 13:36:40 2014  matrix is 418154 x 418381 (121.2 MB) with weight 31476265 (75.23/col)
Tue Dec 23 13:36:40 2014  sparse part has weight 27597679 (65.96/col)
Tue Dec 23 13:36:40 2014  using block size 65536 for processor cache size 8192 kB
Tue Dec 23 13:36:41 2014  commencing Lanczos iteration (8 threads)
Tue Dec 23 13:36:41 2014  memory use: 115.4 MB
Tue Dec 23 13:37:01 2014  linear algebra at 2.9%, ETA 0h11m
Tue Dec 23 13:47:14 2014  lanczos halted after 6614 iterations (dim = 418153)
Tue Dec 23 13:47:14 2014  recovered 33 nontrivial dependencies
Tue Dec 23 13:47:14 2014  BLanczosTime: 678
Tue Dec 23 13:47:14 2014  
Tue Dec 23 13:47:14 2014  commencing square root phase
Tue Dec 23 13:47:14 2014  reading relations for dependency 1
Tue Dec 23 13:47:14 2014  read 209464 cycles
Tue Dec 23 13:47:14 2014  cycles contain 726228 unique relations
Tue Dec 23 13:47:24 2014  read 726228 relations
Tue Dec 23 13:47:27 2014  multiplying 726228 relations
Tue Dec 23 13:47:57 2014  multiply complete, coefficients have about 33.22 million bits
Tue Dec 23 13:47:58 2014  initial square root is modulo 58979
Tue Dec 23 13:48:42 2014  sqrtTime: 88
--
n: 3535984562979766218942957277545420388879455740161820046370956454295726371559298097418396074132126757693938979
skew: 6314878.52
c0: -291895622598453447882242611648
c1: 1053910361328224638973504
c2: -294469208205082951
c3: 62404771842
c4: 4680
Y0: -165792584135992039282986831
Y1: 117502179777227
rlim: 3060000
alim: 3060000
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B1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:21:58 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 58 秒 (日本時間)

10168+1193

c112

name 名前Cyp
date 日付December 21, 2014 09:26:16 UTC 2014 年 12 月 21 日 (日) 18 時 26 分 16 秒 (日本時間)
composite number 合成数
4532003938311450953446361460142233759659644141061053343032312011463592010813011828902363136271467920603288105007<112>
prime factors 素因数
32261924880269658514568846927911442662913<41>
140475311226177853207111982870263218548459182172510128553995098238817839<72>
factorization results 素因数分解の結果
12/21/14 07:37:36 v1.34.3, 
12/21/14 07:37:36 v1.34.3, ****************************
12/21/14 07:37:36 v1.34.3, Starting factorization of 4532003938311450953446361460142233759659644141061053343032312011463592010813011828902363136271467920603288105007
12/21/14 07:37:36 v1.34.3, using pretesting plan: none
12/21/14 07:37:36 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/21/14 07:37:36 v1.34.3, ****************************
12/21/14 07:37:36 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C112
12/21/14 07:37:36 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C112
12/21/14 07:37:36 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C112
12/21/14 07:37:36 v1.34.3, final ECM pretested depth: 0.00
12/21/14 07:37:36 v1.34.3, scheduler: switching to sieve method
12/21/14 07:37:36 v1.34.3, nfs: commencing nfs on c112: 4532003938311450953446361460142233759659644141061053343032312011463592010813011828902363136271467920603288105007
12/21/14 07:37:36 v1.34.3, nfs: commencing poly selection with 8 threads
12/21/14 07:37:36 v1.34.3, nfs: setting deadline of 600 seconds
12/21/14 07:47:26 v1.34.3, nfs: completed 126 ranges of size 250 in 590.1028 seconds
12/21/14 07:47:26 v1.34.3, nfs: best poly = # norm 1.242734e-10 alpha -6.775381 e 7.810e-10 rroots 5
12/21/14 07:47:26 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 07:59:25 v1.34.3, nfs: commencing lattice sieving with 8 threads
[11 lines snipped]
12/21/14 09:42:24 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 09:48:23 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 09:54:10 v1.34.3, nfs: commencing msieve filtering
12/21/14 09:54:52 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 10:00:17 v1.34.3, nfs: commencing msieve filtering
12/21/14 10:01:03 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 10:06:06 v1.34.3, nfs: commencing msieve filtering
12/21/14 10:06:56 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 10:12:00 v1.34.3, nfs: commencing msieve filtering
12/21/14 10:12:51 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 10:17:41 v1.34.3, nfs: commencing msieve filtering
12/21/14 10:18:49 v1.34.3, nfs: commencing msieve linear algebra
12/21/14 10:24:29 v1.34.3, nfs: commencing msieve sqrt
12/21/14 10:26:15 v1.34.3, prp41 = 32261924880269658514568846927911442662913
12/21/14 10:26:15 v1.34.3, prp72 = 140475311226177853207111982870263218548459182172510128553995098238817839
12/21/14 10:26:16 v1.34.3, NFS elapsed time = 10119.6857 seconds.
12/21/14 10:26:16 v1.34.3, 
12/21/14 10:26:16 v1.34.3, 
12/21/14 10:26:16 v1.34.3, Total factoring time = 10119.7084 seconds
--
Sun Dec 21 09:54:10 2014  
Sun Dec 21 09:54:10 2014  commencing relation filtering
Sun Dec 21 09:54:10 2014  estimated available RAM is 15987.3 MB
Sun Dec 21 09:54:10 2014  commencing duplicate removal, pass 1
Sun Dec 21 09:54:24 2014  found 404405 hash collisions in 4475379 relations
Sun Dec 21 09:54:29 2014  added 32933 free relations
Sun Dec 21 09:54:29 2014  commencing duplicate removal, pass 2
Sun Dec 21 09:54:32 2014  found 171181 duplicates and 4337131 unique relations
Sun Dec 21 09:54:32 2014  memory use: 19.6 MB
Sun Dec 21 09:54:32 2014  reading ideals above 100000
Sun Dec 21 09:54:32 2014  commencing singleton removal, initial pass
Sun Dec 21 09:54:51 2014  memory use: 172.2 MB
Sun Dec 21 09:54:51 2014  reading all ideals from disk
Sun Dec 21 09:54:51 2014  memory use: 146.6 MB
Sun Dec 21 09:54:51 2014  keeping 5379251 ideals with weight <= 200, target excess is 23934
Sun Dec 21 09:54:51 2014  commencing in-memory singleton removal
Sun Dec 21 09:54:52 2014  begin with 4337131 relations and 5379251 unique ideals
Sun Dec 21 09:54:52 2014  reduce to 78 relations and 0 ideals in 21 passes
Sun Dec 21 09:54:52 2014  max relations containing the same ideal: 0
Sun Dec 21 10:00:17 2014  
Sun Dec 21 10:00:17 2014  commencing relation filtering
Sun Dec 21 10:00:17 2014  estimated available RAM is 15987.3 MB
Sun Dec 21 10:00:17 2014  commencing duplicate removal, pass 1
Sun Dec 21 10:00:32 2014  found 458444 hash collisions in 4808040 relations
Sun Dec 21 10:00:37 2014  added 103 free relations
Sun Dec 21 10:00:37 2014  commencing duplicate removal, pass 2
Sun Dec 21 10:00:40 2014  found 193160 duplicates and 4614983 unique relations
Sun Dec 21 10:00:40 2014  memory use: 20.6 MB
Sun Dec 21 10:00:40 2014  reading ideals above 100000
Sun Dec 21 10:00:40 2014  commencing singleton removal, initial pass
Sun Dec 21 10:01:00 2014  memory use: 172.2 MB
Sun Dec 21 10:01:01 2014  reading all ideals from disk
Sun Dec 21 10:01:01 2014  memory use: 156.1 MB
Sun Dec 21 10:01:01 2014  keeping 5517205 ideals with weight <= 200, target excess is 24958
Sun Dec 21 10:01:01 2014  commencing in-memory singleton removal
Sun Dec 21 10:01:01 2014  begin with 4614983 relations and 5517205 unique ideals
Sun Dec 21 10:01:03 2014  reduce to 943985 relations and 1096835 ideals in 38 passes
Sun Dec 21 10:01:03 2014  max relations containing the same ideal: 64
Sun Dec 21 10:06:06 2014  
Sun Dec 21 10:06:06 2014  commencing relation filtering
Sun Dec 21 10:06:06 2014  estimated available RAM is 15987.3 MB
Sun Dec 21 10:06:06 2014  commencing duplicate removal, pass 1
Sun Dec 21 10:06:22 2014  found 509229 hash collisions in 5095365 relations
Sun Dec 21 10:06:27 2014  added 63 free relations
Sun Dec 21 10:06:27 2014  commencing duplicate removal, pass 2
Sun Dec 21 10:06:31 2014  found 215442 duplicates and 4879986 unique relations
Sun Dec 21 10:06:31 2014  memory use: 20.6 MB
Sun Dec 21 10:06:31 2014  reading ideals above 100000
Sun Dec 21 10:06:31 2014  commencing singleton removal, initial pass
Sun Dec 21 10:06:53 2014  memory use: 172.2 MB
Sun Dec 21 10:06:53 2014  reading all ideals from disk
Sun Dec 21 10:06:53 2014  memory use: 165.1 MB
Sun Dec 21 10:06:53 2014  keeping 5640757 ideals with weight <= 200, target excess is 26040
Sun Dec 21 10:06:54 2014  commencing in-memory singleton removal
Sun Dec 21 10:06:54 2014  begin with 4879986 relations and 5640757 unique ideals
Sun Dec 21 10:06:56 2014  reduce to 1391260 relations and 1479683 ideals in 28 passes
Sun Dec 21 10:06:56 2014  max relations containing the same ideal: 80
Sun Dec 21 10:12:00 2014  
Sun Dec 21 10:12:00 2014  commencing relation filtering
Sun Dec 21 10:12:00 2014  estimated available RAM is 15987.3 MB
Sun Dec 21 10:12:00 2014  commencing duplicate removal, pass 1
Sun Dec 21 10:12:17 2014  found 561670 hash collisions in 5381983 relations
Sun Dec 21 10:12:22 2014  added 48 free relations
Sun Dec 21 10:12:22 2014  commencing duplicate removal, pass 2
Sun Dec 21 10:12:26 2014  found 238439 duplicates and 5143592 unique relations
Sun Dec 21 10:12:26 2014  memory use: 20.6 MB
Sun Dec 21 10:12:26 2014  reading ideals above 100000
Sun Dec 21 10:12:26 2014  commencing singleton removal, initial pass
Sun Dec 21 10:12:49 2014  memory use: 172.2 MB
Sun Dec 21 10:12:49 2014  reading all ideals from disk
Sun Dec 21 10:12:49 2014  memory use: 174.1 MB
Sun Dec 21 10:12:49 2014  keeping 5755956 ideals with weight <= 200, target excess is 27166
Sun Dec 21 10:12:49 2014  commencing in-memory singleton removal
Sun Dec 21 10:12:50 2014  begin with 5143592 relations and 5755956 unique ideals
Sun Dec 21 10:12:51 2014  reduce to 1781947 relations and 1787681 ideals in 20 passes
Sun Dec 21 10:12:51 2014  max relations containing the same ideal: 95
Sun Dec 21 10:17:41 2014  
Sun Dec 21 10:17:41 2014  commencing relation filtering
Sun Dec 21 10:17:41 2014  estimated available RAM is 15987.3 MB
Sun Dec 21 10:17:41 2014  commencing duplicate removal, pass 1
Sun Dec 21 10:17:59 2014  found 613549 hash collisions in 5655640 relations
Sun Dec 21 10:18:04 2014  added 36 free relations
Sun Dec 21 10:18:04 2014  commencing duplicate removal, pass 2
Sun Dec 21 10:18:08 2014  found 261475 duplicates and 5394201 unique relations
Sun Dec 21 10:18:08 2014  memory use: 20.6 MB
Sun Dec 21 10:18:08 2014  reading ideals above 100000
Sun Dec 21 10:18:08 2014  commencing singleton removal, initial pass
Sun Dec 21 10:18:31 2014  memory use: 172.2 MB
Sun Dec 21 10:18:32 2014  reading all ideals from disk
Sun Dec 21 10:18:32 2014  memory use: 182.6 MB
Sun Dec 21 10:18:33 2014  keeping 5858513 ideals with weight <= 200, target excess is 28395
Sun Dec 21 10:18:33 2014  commencing in-memory singleton removal
Sun Dec 21 10:18:33 2014  begin with 5394201 relations and 5858513 unique ideals
Sun Dec 21 10:18:35 2014  reduce to 2139325 relations and 2052694 ideals in 17 passes
Sun Dec 21 10:18:35 2014  max relations containing the same ideal: 107
Sun Dec 21 10:18:35 2014  removing 267520 relations and 240674 ideals in 26846 cliques
Sun Dec 21 10:18:35 2014  commencing in-memory singleton removal
Sun Dec 21 10:18:35 2014  begin with 1871805 relations and 2052694 unique ideals
Sun Dec 21 10:18:36 2014  reduce to 1842499 relations and 1782192 ideals in 9 passes
Sun Dec 21 10:18:36 2014  max relations containing the same ideal: 98
Sun Dec 21 10:18:36 2014  removing 198389 relations and 171543 ideals in 26846 cliques
Sun Dec 21 10:18:36 2014  commencing in-memory singleton removal
Sun Dec 21 10:18:36 2014  begin with 1644110 relations and 1782192 unique ideals
Sun Dec 21 10:18:37 2014  reduce to 1625526 relations and 1591765 ideals in 8 passes
Sun Dec 21 10:18:37 2014  max relations containing the same ideal: 91
Sun Dec 21 10:18:37 2014  relations with 0 large ideals: 85
Sun Dec 21 10:18:37 2014  relations with 1 large ideals: 196
Sun Dec 21 10:18:37 2014  relations with 2 large ideals: 2785
Sun Dec 21 10:18:37 2014  relations with 3 large ideals: 24736
Sun Dec 21 10:18:37 2014  relations with 4 large ideals: 116235
Sun Dec 21 10:18:37 2014  relations with 5 large ideals: 308108
Sun Dec 21 10:18:37 2014  relations with 6 large ideals: 474623
Sun Dec 21 10:18:37 2014  relations with 7+ large ideals: 698758
Sun Dec 21 10:18:37 2014  commencing 2-way merge
Sun Dec 21 10:18:38 2014  reduce to 926687 relation sets and 892926 unique ideals
Sun Dec 21 10:18:38 2014  commencing full merge
Sun Dec 21 10:18:45 2014  memory use: 99.9 MB
Sun Dec 21 10:18:46 2014  found 455181 cycles, need 451126
Sun Dec 21 10:18:46 2014  weight of 451126 cycles is about 31800066 (70.49/cycle)
Sun Dec 21 10:18:46 2014  distribution of cycle lengths:
Sun Dec 21 10:18:46 2014  1 relations: 53340
Sun Dec 21 10:18:46 2014  2 relations: 52270
Sun Dec 21 10:18:46 2014  3 relations: 51588
Sun Dec 21 10:18:46 2014  4 relations: 45288
Sun Dec 21 10:18:46 2014  5 relations: 40884
Sun Dec 21 10:18:46 2014  6 relations: 34408
Sun Dec 21 10:18:46 2014  7 relations: 30451
Sun Dec 21 10:18:46 2014  8 relations: 26000
Sun Dec 21 10:18:46 2014  9 relations: 21906
Sun Dec 21 10:18:46 2014  10+ relations: 94991
Sun Dec 21 10:18:46 2014  heaviest cycle: 23 relations
Sun Dec 21 10:18:46 2014  commencing cycle optimization
Sun Dec 21 10:18:46 2014  start with 2779457 relations
Sun Dec 21 10:18:48 2014  pruned 56474 relations
Sun Dec 21 10:18:48 2014  memory use: 93.6 MB
Sun Dec 21 10:18:48 2014  distribution of cycle lengths:
Sun Dec 21 10:18:48 2014  1 relations: 53340
Sun Dec 21 10:18:48 2014  2 relations: 53364
Sun Dec 21 10:18:48 2014  3 relations: 53070
Sun Dec 21 10:18:48 2014  4 relations: 46200
Sun Dec 21 10:18:48 2014  5 relations: 41586
Sun Dec 21 10:18:48 2014  6 relations: 34786
Sun Dec 21 10:18:48 2014  7 relations: 30563
Sun Dec 21 10:18:48 2014  8 relations: 25954
Sun Dec 21 10:18:48 2014  9 relations: 21724
Sun Dec 21 10:18:48 2014  10+ relations: 90539
Sun Dec 21 10:18:48 2014  heaviest cycle: 23 relations
Sun Dec 21 10:18:49 2014  RelProcTime: 68
Sun Dec 21 10:18:49 2014  
Sun Dec 21 10:18:49 2014  commencing linear algebra
Sun Dec 21 10:18:49 2014  read 451126 cycles
Sun Dec 21 10:18:49 2014  cycles contain 1580868 unique relations
Sun Dec 21 10:18:57 2014  read 1580868 relations
Sun Dec 21 10:18:58 2014  using 20 quadratic characters above 67108764
Sun Dec 21 10:19:02 2014  building initial matrix
Sun Dec 21 10:19:10 2014  memory use: 196.5 MB
Sun Dec 21 10:19:10 2014  read 451126 cycles
Sun Dec 21 10:19:10 2014  matrix is 450949 x 451126 (135.5 MB) with weight 42565802 (94.35/col)
Sun Dec 21 10:19:10 2014  sparse part has weight 30566115 (67.76/col)
Sun Dec 21 10:19:12 2014  filtering completed in 2 passes
Sun Dec 21 10:19:12 2014  matrix is 450189 x 450366 (135.5 MB) with weight 42535470 (94.45/col)
Sun Dec 21 10:19:12 2014  sparse part has weight 30557148 (67.85/col)
Sun Dec 21 10:19:13 2014  matrix starts at (0, 0)
Sun Dec 21 10:19:13 2014  matrix is 450189 x 450366 (135.5 MB) with weight 42535470 (94.45/col)
Sun Dec 21 10:19:13 2014  sparse part has weight 30557148 (67.85/col)
Sun Dec 21 10:19:13 2014  saving the first 48 matrix rows for later
Sun Dec 21 10:19:13 2014  matrix includes 64 packed rows
Sun Dec 21 10:19:13 2014  matrix is 450141 x 450366 (130.5 MB) with weight 33760653 (74.96/col)
Sun Dec 21 10:19:13 2014  sparse part has weight 29711378 (65.97/col)
Sun Dec 21 10:19:13 2014  using block size 65536 for processor cache size 8192 kB
Sun Dec 21 10:19:14 2014  commencing Lanczos iteration (8 threads)
Sun Dec 21 10:19:14 2014  memory use: 124.0 MB
Sun Dec 21 10:19:23 2014  linear algebra at 2.7%, ETA 0h 5m
Sun Dec 21 10:24:28 2014  lanczos halted after 7120 iterations (dim = 450141)
Sun Dec 21 10:24:29 2014  recovered 29 nontrivial dependencies
Sun Dec 21 10:24:29 2014  BLanczosTime: 340
Sun Dec 21 10:24:29 2014  
Sun Dec 21 10:24:29 2014  commencing square root phase
Sun Dec 21 10:24:29 2014  reading relations for dependency 1
Sun Dec 21 10:24:29 2014  read 225035 cycles
Sun Dec 21 10:24:29 2014  cycles contain 789976 unique relations
Sun Dec 21 10:24:35 2014  read 789976 relations
Sun Dec 21 10:24:36 2014  multiplying 789976 relations
Sun Dec 21 10:24:56 2014  multiply complete, coefficients have about 31.52 million bits
Sun Dec 21 10:24:57 2014  initial square root is modulo 1126987859
Sun Dec 21 10:25:22 2014  GCD is 1, no factor found
Sun Dec 21 10:25:22 2014  reading relations for dependency 2
Sun Dec 21 10:25:22 2014  read 225060 cycles
Sun Dec 21 10:25:22 2014  cycles contain 790722 unique relations
Sun Dec 21 10:25:28 2014  read 790722 relations
Sun Dec 21 10:25:30 2014  multiplying 790722 relations
Sun Dec 21 10:25:50 2014  multiply complete, coefficients have about 31.55 million bits
Sun Dec 21 10:25:50 2014  initial square root is modulo 1151732287
Sun Dec 21 10:26:15 2014  sqrtTime: 106
--
n: 4532003938311450953446361460142233759659644141061053343032312011463592010813011828902363136271467920603288105007
skew: 173418.77
c0: -13639602813909799255581874608
c1: 788327681656317106257432
c2: 3359471508907513202
c3: -155730111311435
c4: -147470418
c5: 504
Y0: -6176921576014166023795
Y1: 33786314651
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B1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:01:44 UTC 2014 年 12 月 20 日 (土) 3 時 1 分 44 秒 (日本時間)

10169+1193

c162

name 名前Cyp
date 日付March 18, 2015 14:22:19 UTC 2015 年 3 月 18 日 (水) 23 時 22 分 19 秒 (日本時間)
composite number 合成数
290042540829506004475182379474779945449379005868169690316648433142337419771695334326380984625395991455462764179084910562917173624772719039474238726068191147663819<162>
prime factors 素因数
8375775598272185602942745712886823175262842212747<49>
34628738249546470296395714481120040991652671030633251593075245479790546761458481269148613931859886309250042230977<113>
factorization results 素因数分解の結果
03/18/15 09:25:49 v1.34.3, 
03/18/15 09:25:49 v1.34.3, ****************************
03/18/15 09:25:49 v1.34.3, Starting factorization of 290042540829506004475182379474779945449379005868169690316648433142337419771695334326380984625395991455462764179084910562917173624772719039474238726068191147663819
03/18/15 09:25:49 v1.34.3, using pretesting plan: none
03/18/15 09:25:49 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
03/18/15 09:25:49 v1.34.3, ****************************
03/18/15 09:25:49 v1.34.3, nfs: commencing nfs on c162: 290042540829506004475182379474779945449379005868169690316648433142337419771695334326380984625395991455462764179084910562917173624772719039474238726068191147663819
03/18/15 09:25:49 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
03/18/15 09:25:49 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/18/15 09:30:31 v1.34.3, nfs: commencing lattice sieving with 8 threads
[60 lines snipped]
03/18/15 14:21:50 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/18/15 14:26:53 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/18/15 14:31:51 v1.34.3, nfs: commencing msieve filtering
03/18/15 14:33:26 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/18/15 14:38:15 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/18/15 14:43:12 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/18/15 14:48:02 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/18/15 14:52:53 v1.34.3, nfs: commencing msieve filtering
03/18/15 14:55:02 v1.34.3, nfs: commencing msieve linear algebra
03/18/15 15:18:20 v1.34.3, nfs: commencing msieve sqrt
03/18/15 15:22:18 v1.34.3, prp113 = 34628738249546470296395714481120040991652671030633251593075245479790546761458481269148613931859886309250042230977
03/18/15 15:22:18 v1.34.3, prp49 = 8375775598272185602942745712886823175262842212747
03/18/15 15:22:18 v1.34.3, NFS elapsed time = 21388.9541 seconds.
03/18/15 15:22:18 v1.34.3, 
03/18/15 15:22:18 v1.34.3, 
03/18/15 15:22:18 v1.34.3, Total factoring time = 21388.9552 seconds
--
Wed Mar 18 14:31:51 2015  
Wed Mar 18 14:31:51 2015  commencing relation filtering
Wed Mar 18 14:31:51 2015  estimated available RAM is 15987.3 MB
Wed Mar 18 14:31:51 2015  commencing duplicate removal, pass 1
Wed Mar 18 14:32:20 2015  found 1342777 hash collisions in 10093378 relations
Wed Mar 18 14:32:29 2015  added 371212 free relations
Wed Mar 18 14:32:29 2015  commencing duplicate removal, pass 2
Wed Mar 18 14:32:37 2015  found 893906 duplicates and 9570684 unique relations
Wed Mar 18 14:32:37 2015  memory use: 41.3 MB
Wed Mar 18 14:32:37 2015  reading ideals above 100000
Wed Mar 18 14:32:37 2015  commencing singleton removal, initial pass
Wed Mar 18 14:33:20 2015  memory use: 344.5 MB
Wed Mar 18 14:33:20 2015  reading all ideals from disk
Wed Mar 18 14:33:20 2015  memory use: 347.1 MB
Wed Mar 18 14:33:21 2015  keeping 10871893 ideals with weight <= 200, target excess is 49341
Wed Mar 18 14:33:21 2015  commencing in-memory singleton removal
Wed Mar 18 14:33:21 2015  begin with 9570684 relations and 10871893 unique ideals
Wed Mar 18 14:33:26 2015  reduce to 3500913 relations and 3498424 ideals in 20 passes
Wed Mar 18 14:33:26 2015  max relations containing the same ideal: 105
Wed Mar 18 14:52:53 2015  
Wed Mar 18 14:52:53 2015  commencing relation filtering
Wed Mar 18 14:52:53 2015  estimated available RAM is 15987.3 MB
Wed Mar 18 14:52:53 2015  commencing duplicate removal, pass 1
Wed Mar 18 14:53:28 2015  found 1521143 hash collisions in 11057121 relations
Wed Mar 18 14:53:37 2015  added 1353 free relations
Wed Mar 18 14:53:37 2015  commencing duplicate removal, pass 2
Wed Mar 18 14:53:45 2015  found 986704 duplicates and 10071770 unique relations
Wed Mar 18 14:53:45 2015  memory use: 41.3 MB
Wed Mar 18 14:53:45 2015  reading ideals above 720000
Wed Mar 18 14:53:45 2015  commencing singleton removal, initial pass
Wed Mar 18 14:54:29 2015  memory use: 344.5 MB
Wed Mar 18 14:54:29 2015  reading all ideals from disk
Wed Mar 18 14:54:29 2015  memory use: 294.1 MB
Wed Mar 18 14:54:30 2015  commencing in-memory singleton removal
Wed Mar 18 14:54:30 2015  begin with 10071770 relations and 11003440 unique ideals
Wed Mar 18 14:54:34 2015  reduce to 4192452 relations and 3930807 ideals in 17 passes
Wed Mar 18 14:54:34 2015  max relations containing the same ideal: 69
Wed Mar 18 14:54:35 2015  removing 545777 relations and 482244 ideals in 63533 cliques
Wed Mar 18 14:54:35 2015  commencing in-memory singleton removal
Wed Mar 18 14:54:35 2015  begin with 3646675 relations and 3930807 unique ideals
Wed Mar 18 14:54:36 2015  reduce to 3582465 relations and 3383005 ideals in 9 passes
Wed Mar 18 14:54:36 2015  max relations containing the same ideal: 61
Wed Mar 18 14:54:37 2015  removing 410583 relations and 347050 ideals in 63533 cliques
Wed Mar 18 14:54:37 2015  commencing in-memory singleton removal
Wed Mar 18 14:54:37 2015  begin with 3171882 relations and 3383005 unique ideals
Wed Mar 18 14:54:38 2015  reduce to 3129940 relations and 2993255 ideals in 8 passes
Wed Mar 18 14:54:38 2015  max relations containing the same ideal: 54
Wed Mar 18 14:54:39 2015  relations with 0 large ideals: 2885
Wed Mar 18 14:54:39 2015  relations with 1 large ideals: 2448
Wed Mar 18 14:54:39 2015  relations with 2 large ideals: 33385
Wed Mar 18 14:54:39 2015  relations with 3 large ideals: 185304
Wed Mar 18 14:54:39 2015  relations with 4 large ideals: 544500
Wed Mar 18 14:54:39 2015  relations with 5 large ideals: 890176
Wed Mar 18 14:54:39 2015  relations with 6 large ideals: 864939
Wed Mar 18 14:54:39 2015  relations with 7+ large ideals: 606303
Wed Mar 18 14:54:39 2015  commencing 2-way merge
Wed Mar 18 14:54:40 2015  reduce to 1833235 relation sets and 1696552 unique ideals
Wed Mar 18 14:54:40 2015  ignored 2 oversize relation sets
Wed Mar 18 14:54:40 2015  commencing full merge
Wed Mar 18 14:54:56 2015  memory use: 195.6 MB
Wed Mar 18 14:54:56 2015  found 907213 cycles, need 888752
Wed Mar 18 14:54:56 2015  weight of 888752 cycles is about 62534436 (70.36/cycle)
Wed Mar 18 14:54:56 2015  distribution of cycle lengths:
Wed Mar 18 14:54:56 2015  1 relations: 111490
Wed Mar 18 14:54:56 2015  2 relations: 100825
Wed Mar 18 14:54:56 2015  3 relations: 98272
Wed Mar 18 14:54:56 2015  4 relations: 88253
Wed Mar 18 14:54:56 2015  5 relations: 80920
Wed Mar 18 14:54:56 2015  6 relations: 68942
Wed Mar 18 14:54:56 2015  7 relations: 60846
Wed Mar 18 14:54:56 2015  8 relations: 52433
Wed Mar 18 14:54:56 2015  9 relations: 44851
Wed Mar 18 14:54:56 2015  10+ relations: 181920
Wed Mar 18 14:54:56 2015  heaviest cycle: 22 relations
Wed Mar 18 14:54:56 2015  commencing cycle optimization
Wed Mar 18 14:54:57 2015  start with 5357744 relations
Wed Mar 18 14:55:01 2015  pruned 124178 relations
Wed Mar 18 14:55:01 2015  memory use: 178.0 MB
Wed Mar 18 14:55:01 2015  distribution of cycle lengths:
Wed Mar 18 14:55:01 2015  1 relations: 111490
Wed Mar 18 14:55:01 2015  2 relations: 103039
Wed Mar 18 14:55:01 2015  3 relations: 101396
Wed Mar 18 14:55:01 2015  4 relations: 90442
Wed Mar 18 14:55:01 2015  5 relations: 82676
Wed Mar 18 14:55:01 2015  6 relations: 69941
Wed Mar 18 14:55:01 2015  7 relations: 61411
Wed Mar 18 14:55:01 2015  8 relations: 52474
Wed Mar 18 14:55:01 2015  9 relations: 44556
Wed Mar 18 14:55:01 2015  10+ relations: 171327
Wed Mar 18 14:55:01 2015  heaviest cycle: 22 relations
Wed Mar 18 14:55:02 2015  RelProcTime: 129
Wed Mar 18 14:55:02 2015  
Wed Mar 18 14:55:02 2015  commencing linear algebra
Wed Mar 18 14:55:02 2015  read 888752 cycles
Wed Mar 18 14:55:03 2015  cycles contain 2986995 unique relations
Wed Mar 18 14:55:17 2015  read 2986995 relations
Wed Mar 18 14:55:19 2015  using 20 quadratic characters above 134217488
Wed Mar 18 14:55:28 2015  building initial matrix
Wed Mar 18 14:55:43 2015  memory use: 363.9 MB
Wed Mar 18 14:55:43 2015  read 888752 cycles
Wed Mar 18 14:55:43 2015  matrix is 888564 x 888752 (267.0 MB) with weight 79382571 (89.32/col)
Wed Mar 18 14:55:43 2015  sparse part has weight 60214910 (67.75/col)
Wed Mar 18 14:55:48 2015  filtering completed in 2 passes
Wed Mar 18 14:55:48 2015  matrix is 886122 x 886310 (266.7 MB) with weight 79290467 (89.46/col)
Wed Mar 18 14:55:48 2015  sparse part has weight 60177168 (67.90/col)
Wed Mar 18 14:55:51 2015  matrix starts at (0, 0)
Wed Mar 18 14:55:51 2015  matrix is 886122 x 886310 (266.7 MB) with weight 79290467 (89.46/col)
Wed Mar 18 14:55:51 2015  sparse part has weight 60177168 (67.90/col)
Wed Mar 18 14:55:51 2015  saving the first 48 matrix rows for later
Wed Mar 18 14:55:51 2015  matrix includes 64 packed rows
Wed Mar 18 14:55:51 2015  matrix is 886074 x 886310 (252.7 MB) with weight 63196572 (71.30/col)
Wed Mar 18 14:55:51 2015  sparse part has weight 57386817 (64.75/col)
Wed Mar 18 14:55:51 2015  using block size 65536 for processor cache size 8192 kB
Wed Mar 18 14:55:53 2015  commencing Lanczos iteration (8 threads)
Wed Mar 18 14:55:53 2015  memory use: 246.7 MB
Wed Mar 18 14:55:57 2015  linear algebra at 0.3%, ETA 0h19m
Wed Mar 18 15:18:20 2015  lanczos halted after 14011 iterations (dim = 886072)
Wed Mar 18 15:18:20 2015  recovered 36 nontrivial dependencies
Wed Mar 18 15:18:20 2015  BLanczosTime: 1398
Wed Mar 18 15:18:20 2015  
Wed Mar 18 15:18:20 2015  commencing square root phase
Wed Mar 18 15:18:20 2015  reading relations for dependency 1
Wed Mar 18 15:18:20 2015  read 443922 cycles
Wed Mar 18 15:18:21 2015  cycles contain 1494908 unique relations
Wed Mar 18 15:18:31 2015  read 1494908 relations
Wed Mar 18 15:18:34 2015  multiplying 1494908 relations
Wed Mar 18 15:19:02 2015  multiply complete, coefficients have about 39.28 million bits
Wed Mar 18 15:19:02 2015  initial square root is modulo 436531
Wed Mar 18 15:19:38 2015  GCD is N, no factor found
Wed Mar 18 15:19:38 2015  reading relations for dependency 2
Wed Mar 18 15:19:38 2015  read 442913 cycles
Wed Mar 18 15:19:39 2015  cycles contain 1490952 unique relations
Wed Mar 18 15:19:49 2015  read 1490952 relations
Wed Mar 18 15:19:52 2015  multiplying 1490952 relations
Wed Mar 18 15:20:22 2015  multiply complete, coefficients have about 39.18 million bits
Wed Mar 18 15:20:22 2015  initial square root is modulo 421801
Wed Mar 18 15:20:57 2015  GCD is 1, no factor found
Wed Mar 18 15:20:57 2015  reading relations for dependency 3
Wed Mar 18 15:20:57 2015  read 442310 cycles
Wed Mar 18 15:20:58 2015  cycles contain 1492528 unique relations
Wed Mar 18 15:21:09 2015  read 1492528 relations
Wed Mar 18 15:21:13 2015  multiplying 1492528 relations
Wed Mar 18 15:21:40 2015  multiply complete, coefficients have about 39.22 million bits
Wed Mar 18 15:21:40 2015  initial square root is modulo 427951
Wed Mar 18 15:22:17 2015  sqrtTime: 237
--
n: 290042540829506004475182379474779945449379005868169690316648433142337419771695334326380984625395991455462764179084910562917173624772719039474238726068191147663819
m: 5000000000000000000000000000000000
deg: 5
c5: 16
c0: 595
skew: 2.06
# Murphy_E = 2.222e-10
type: snfs
lss: 1
rlim: 4700000
alim: 4700000
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B1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e62950300Serge BatalovDecember 20, 2014 21:21:59 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 59 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:48 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 48 秒 (日本時間)
2350Ignacio SantosFebruary 18, 2015 09:52:50 UTC 2015 年 2 月 18 日 (水) 18 時 52 分 50 秒 (日本時間)

10170+1193

c159

name 名前Cyp
date 日付March 27, 2015 11:32:03 UTC 2015 年 3 月 27 日 (金) 20 時 32 分 3 秒 (日本時間)
composite number 合成数
990377164162128036837395700163230477079206928178721854830643372497685090014822818833535781959753892187041154808998254703118356216813732563713009857313157791923<159>
prime factors 素因数
226422704054627691363237868959702839065655179189621<51>
4374018799471564864991908337612056707656992321358674330184884485905911117687866524014156763713595901207369863<109>
factorization results 素因数分解の結果
03/27/15 08:00:35 v1.34.3, 
03/27/15 08:00:35 v1.34.3, ****************************
03/27/15 08:00:35 v1.34.3, Starting factorization of 990377164162128036837395700163230477079206928178721854830643372497685090014822818833535781959753892187041154808998254703118356216813732563713009857313157791923
03/27/15 08:00:35 v1.34.3, using pretesting plan: none
03/27/15 08:00:35 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
03/27/15 08:00:35 v1.34.3, ****************************
03/27/15 08:00:35 v1.34.3, nfs: commencing nfs on c159: 990377164162128036837395700163230477079206928178721854830643372497685090014822818833535781959753892187041154808998254703118356216813732563713009857313157791923
03/27/15 08:00:35 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
03/27/15 08:00:35 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/27/15 08:05:25 v1.34.3, nfs: commencing lattice sieving with 8 threads
[43 lines snipped]
03/27/15 11:47:56 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/27/15 11:53:00 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/27/15 11:58:09 v1.34.3, nfs: commencing msieve filtering
03/27/15 12:00:13 v1.34.3, nfs: commencing msieve linear algebra
03/27/15 12:30:59 v1.34.3, nfs: commencing msieve sqrt
03/27/15 12:32:02 v1.34.3, prp109 = 4374018799471564864991908337612056707656992321358674330184884485905911117687866524014156763713595901207369863
03/27/15 12:32:02 v1.34.3, prp51 = 226422704054627691363237868959702839065655179189621
03/27/15 12:32:02 v1.34.3, NFS elapsed time = 16287.2489 seconds.
03/27/15 12:32:02 v1.34.3, 
03/27/15 12:32:02 v1.34.3, 
03/27/15 12:32:02 v1.34.3, Total factoring time = 16287.2500 seconds
--
Fri Mar 27 11:58:09 2015  
Fri Mar 27 11:58:09 2015  commencing relation filtering
Fri Mar 27 11:58:09 2015  estimated available RAM is 15987.3 MB
Fri Mar 27 11:58:09 2015  commencing duplicate removal, pass 1
Fri Mar 27 11:58:37 2015  found 1220725 hash collisions in 10168262 relations
Fri Mar 27 11:58:46 2015  added 371734 free relations
Fri Mar 27 11:58:46 2015  commencing duplicate removal, pass 2
Fri Mar 27 11:58:56 2015  found 712262 duplicates and 9827734 unique relations
Fri Mar 27 11:58:56 2015  memory use: 41.3 MB
Fri Mar 27 11:58:56 2015  reading ideals above 100000
Fri Mar 27 11:58:56 2015  commencing singleton removal, initial pass
Fri Mar 27 11:59:39 2015  memory use: 344.5 MB
Fri Mar 27 11:59:39 2015  reading all ideals from disk
Fri Mar 27 11:59:39 2015  memory use: 352.2 MB
Fri Mar 27 11:59:39 2015  keeping 10913590 ideals with weight <= 200, target excess is 49899
Fri Mar 27 11:59:40 2015  commencing in-memory singleton removal
Fri Mar 27 11:59:40 2015  begin with 9827734 relations and 10913590 unique ideals
Fri Mar 27 11:59:44 2015  reduce to 3886741 relations and 3718776 ideals in 17 passes
Fri Mar 27 11:59:44 2015  max relations containing the same ideal: 114
Fri Mar 27 11:59:45 2015  removing 505612 relations and 450571 ideals in 55041 cliques
Fri Mar 27 11:59:45 2015  commencing in-memory singleton removal
Fri Mar 27 11:59:45 2015  begin with 3381129 relations and 3718776 unique ideals
Fri Mar 27 11:59:47 2015  reduce to 3321589 relations and 3207463 ideals in 11 passes
Fri Mar 27 11:59:47 2015  max relations containing the same ideal: 105
Fri Mar 27 11:59:47 2015  removing 378570 relations and 323529 ideals in 55041 cliques
Fri Mar 27 11:59:48 2015  commencing in-memory singleton removal
Fri Mar 27 11:59:48 2015  begin with 2943019 relations and 3207463 unique ideals
Fri Mar 27 11:59:49 2015  reduce to 2904143 relations and 2844337 ideals in 9 passes
Fri Mar 27 11:59:49 2015  max relations containing the same ideal: 93
Fri Mar 27 11:59:50 2015  relations with 0 large ideals: 1069
Fri Mar 27 11:59:50 2015  relations with 1 large ideals: 315
Fri Mar 27 11:59:50 2015  relations with 2 large ideals: 5100
Fri Mar 27 11:59:50 2015  relations with 3 large ideals: 44583
Fri Mar 27 11:59:50 2015  relations with 4 large ideals: 203687
Fri Mar 27 11:59:50 2015  relations with 5 large ideals: 536503
Fri Mar 27 11:59:50 2015  relations with 6 large ideals: 856143
Fri Mar 27 11:59:50 2015  relations with 7+ large ideals: 1256743
Fri Mar 27 11:59:50 2015  commencing 2-way merge
Fri Mar 27 11:59:51 2015  reduce to 1678205 relation sets and 1618400 unique ideals
Fri Mar 27 11:59:51 2015  ignored 1 oversize relation sets
Fri Mar 27 11:59:51 2015  commencing full merge
Fri Mar 27 12:00:07 2015  memory use: 191.1 MB
Fri Mar 27 12:00:07 2015  found 836512 cycles, need 828600
Fri Mar 27 12:00:07 2015  weight of 828600 cycles is about 58129037 (70.15/cycle)
Fri Mar 27 12:00:07 2015  distribution of cycle lengths:
Fri Mar 27 12:00:07 2015  1 relations: 103708
Fri Mar 27 12:00:07 2015  2 relations: 96476
Fri Mar 27 12:00:07 2015  3 relations: 94035
Fri Mar 27 12:00:07 2015  4 relations: 83904
Fri Mar 27 12:00:07 2015  5 relations: 75324
Fri Mar 27 12:00:07 2015  6 relations: 63939
Fri Mar 27 12:00:07 2015  7 relations: 56065
Fri Mar 27 12:00:07 2015  8 relations: 48047
Fri Mar 27 12:00:07 2015  9 relations: 40605
Fri Mar 27 12:00:07 2015  10+ relations: 166497
Fri Mar 27 12:00:07 2015  heaviest cycle: 24 relations
Fri Mar 27 12:00:07 2015  commencing cycle optimization
Fri Mar 27 12:00:08 2015  start with 4995009 relations
Fri Mar 27 12:00:12 2015  pruned 102309 relations
Fri Mar 27 12:00:12 2015  memory use: 167.6 MB
Fri Mar 27 12:00:12 2015  distribution of cycle lengths:
Fri Mar 27 12:00:12 2015  1 relations: 103708
Fri Mar 27 12:00:12 2015  2 relations: 98405
Fri Mar 27 12:00:12 2015  3 relations: 96791
Fri Mar 27 12:00:12 2015  4 relations: 85472
Fri Mar 27 12:00:12 2015  5 relations: 76708
Fri Mar 27 12:00:12 2015  6 relations: 64578
Fri Mar 27 12:00:12 2015  7 relations: 56465
Fri Mar 27 12:00:12 2015  8 relations: 48006
Fri Mar 27 12:00:12 2015  9 relations: 40223
Fri Mar 27 12:00:12 2015  10+ relations: 158244
Fri Mar 27 12:00:12 2015  heaviest cycle: 23 relations
Fri Mar 27 12:00:13 2015  RelProcTime: 124
Fri Mar 27 12:00:13 2015  
Fri Mar 27 12:00:13 2015  commencing linear algebra
Fri Mar 27 12:00:13 2015  read 828600 cycles
Fri Mar 27 12:00:14 2015  cycles contain 2824186 unique relations
Fri Mar 27 12:00:26 2015  read 2824186 relations
Fri Mar 27 12:00:28 2015  using 20 quadratic characters above 134216828
Fri Mar 27 12:00:37 2015  building initial matrix
Fri Mar 27 12:00:52 2015  memory use: 345.3 MB
Fri Mar 27 12:00:52 2015  read 828600 cycles
Fri Mar 27 12:00:52 2015  matrix is 828423 x 828600 (248.9 MB) with weight 74879384 (90.37/col)
Fri Mar 27 12:00:52 2015  sparse part has weight 56130793 (67.74/col)
Fri Mar 27 12:00:56 2015  filtering completed in 2 passes
Fri Mar 27 12:00:56 2015  matrix is 827003 x 827179 (248.8 MB) with weight 74830984 (90.47/col)
Fri Mar 27 12:00:56 2015  sparse part has weight 56115314 (67.84/col)
Fri Mar 27 12:00:58 2015  matrix starts at (0, 0)
Fri Mar 27 12:00:58 2015  matrix is 827003 x 827179 (248.8 MB) with weight 74830984 (90.47/col)
Fri Mar 27 12:00:58 2015  sparse part has weight 56115314 (67.84/col)
Fri Mar 27 12:00:58 2015  saving the first 48 matrix rows for later
Fri Mar 27 12:00:59 2015  matrix includes 64 packed rows
Fri Mar 27 12:00:59 2015  matrix is 826955 x 827179 (236.8 MB) with weight 59442197 (71.86/col)
Fri Mar 27 12:00:59 2015  sparse part has weight 53798723 (65.04/col)
Fri Mar 27 12:00:59 2015  using block size 65536 for processor cache size 8192 kB
Fri Mar 27 12:01:00 2015  commencing Lanczos iteration (8 threads)
Fri Mar 27 12:01:00 2015  memory use: 229.6 MB
Fri Mar 27 12:01:07 2015  linear algebra at 0.4%, ETA 0h27m
Fri Mar 27 12:30:59 2015  lanczos halted after 13079 iterations (dim = 826954)
Fri Mar 27 12:30:59 2015  recovered 36 nontrivial dependencies
Fri Mar 27 12:30:59 2015  BLanczosTime: 1846
Fri Mar 27 12:30:59 2015  
Fri Mar 27 12:30:59 2015  commencing square root phase
Fri Mar 27 12:30:59 2015  reading relations for dependency 1
Fri Mar 27 12:30:59 2015  read 414961 cycles
Fri Mar 27 12:31:00 2015  cycles contain 1413696 unique relations
Fri Mar 27 12:31:09 2015  read 1413696 relations
Fri Mar 27 12:31:12 2015  multiplying 1413696 relations
Fri Mar 27 12:31:33 2015  multiply complete, coefficients have about 31.65 million bits
Fri Mar 27 12:31:33 2015  initial square root is modulo 1226440451
Fri Mar 27 12:32:02 2015  sqrtTime: 63
--
n: 990377164162128036837395700163230477079206928178721854830643372497685090014822818833535781959753892187041154808998254703118356216813732563713009857313157791923
m: 10000000000000000000000000000000000
deg: 5
c5: 1
c0: 119
skew: 2.60
# Murphy_E = 3.218e-10
type: snfs
lss: 1
rlim: 4800000
alim: 4800000
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B1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e62950300Serge BatalovDecember 20, 2014 21:21:59 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 59 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:49 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 49 秒 (日本時間)
2350Ignacio SantosFebruary 14, 2015 10:07:25 UTC 2015 年 2 月 14 日 (土) 19 時 7 分 25 秒 (日本時間)

10172+1193

c145

name 名前Daniel Morel
date 日付April 23, 2015 05:56:40 UTC 2015 年 4 月 23 日 (木) 14 時 56 分 40 秒 (日本時間)
composite number 合成数
1205961476755894301952482730173905808952388378806901240004041943814382946396617351871171311167754705013895282940001518477443031147764323085407791<145>
prime factors 素因数
11410177179599728333099289644307017626870193987<47>
105691739731442076589420944227631199532326847398310591872667776599284798851283794297245261199741093<99>
factorization results 素因数分解の結果
polynomial : 100 X^5 + 119 ; m = 10^34
rlim = alim = 6000000
lpbr = lpba = 27
mfbr = mfba = 48
rlambda = alambda = 2.6
Skew: 1
qIntSize : 100000

Initial matrix : 825984 x 1021593
Pruned matrix : 658633 x 662826

time : 3 days 22 hours or so

p47 = 11410177179599728333099289644307017626870193987
p99 = 105691739731442076589420944227631199532326847398310591872667776599284798851283794297245261199741093
software ソフトウェア
Factorization Software:
GGNFS-0.77.1
execution environment 実行環境
Windows 7, Intel Core I5 3.2 GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e62950300Serge BatalovDecember 20, 2014 21:22:00 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 0 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:49 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 49 秒 (日本時間)
2350Ignacio SantosFebruary 20, 2015 11:34:17 UTC 2015 年 2 月 20 日 (金) 20 時 34 分 17 秒 (日本時間)
4511e60 / 3472--
5043e6100 / 7441Pierre JammesApril 20, 2015 18:07:04 UTC 2015 年 4 月 21 日 (火) 3 時 7 分 4 秒 (日本時間)

10173+1193

c141

name 名前Jo Yeong Uk
date 日付May 4, 2015 10:58:57 UTC 2015 年 5 月 4 日 (月) 19 時 58 分 57 秒 (日本時間)
composite number 合成数
180390585064543365858053386199862923314476763476321472443323607861792705794683576587201834102507428489866240740681465050042445090136044014767<141>
prime factors 素因数
43873555807223383130796688912827097166348697815629<50>
4111601664044829750440158487384453425213101010869377039213217809538717697772966873884735723<91>
factorization results 素因数分解の結果
Number: 33373_173
N=180390585064543365858053386199862923314476763476321472443323607861792705794683576587201834102507428489866240740681465050042445090136044014767
  ( 141 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=43873555807223383130796688912827097166348697815629
 r2=4111601664044829750440158487384453425213101010869377039213217809538717697772966873884735723
Version: 
Total time: 33.71 hours.
Scaled time: 177.02 units (timescale=5.251).
Factorization parameters were as follows:
n: 180390585064543365858053386199862923314476763476321472443323607861792705794683576587201834102507428489866240740681465050042445090136044014767
m: 20000000000000000000000000000000000
deg: 5
c5: 125
c0: 476
skew: 1.31
# Murphy_E = 1.341e-10
type: snfs
lss: 1
rlim: 7000000
alim: 7000000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [3500000, 7600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 16458292
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1205840 x 1206088
Total sieving time: 30.40 hours.
Total relation processing time: 1.65 hours.
Matrix solve time: 1.58 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,7000000,7000000,28,28,52,52,2.4,2.4,100000
total time: 33.71 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B1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e62950300Serge BatalovDecember 20, 2014 21:22:00 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 0 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:49 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 49 秒 (日本時間)
2350Ignacio SantosMarch 2, 2015 17:04:19 UTC 2015 年 3 月 3 日 (火) 2 時 4 分 19 秒 (日本時間)
4511e60 / 3430--
5043e6112 / 7441Pierre JammesApril 19, 2015 06:23:49 UTC 2015 年 4 月 19 日 (日) 15 時 23 分 49 秒 (日本時間)

10174+1193

c174

name 名前Robert Backstrom
date 日付December 21, 2014 12:37:25 UTC 2014 年 12 月 21 日 (日) 21 時 37 分 25 秒 (日本時間)
composite number 合成数
333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333373<174>
prime factors 素因数
1117158414776244727539962975344956243274311578376408463847769874008702150105587<79>
298376066388128626649214426379883874992888191098063776414958445997945203056358942710840268816079<96>
factorization results 素因数分解の結果
Number: n
N=333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333373
  ( 174 digits)
SNFS difficulty: 174 digits.
Divisors found:

Sun Dec 21 23:34:28 2014  prp79 factor: 1117158414776244727539962975344956243274311578376408463847769874008702150105587
Sun Dec 21 23:34:28 2014  prp96 factor: 298376066388128626649214426379883874992888191098063776414958445997945203056358942710840268816079
Sun Dec 21 23:34:28 2014  elapsed time 00:25:47 (Msieve 1.44 - dependency 5)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.271).
Factorization parameters were as follows:
#
#  N = 10^174+119 3(172)73
#
n: 333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333373
m: 50000000000000000000000000000000000
deg: 5
c5: 16
c0: 595
skew: 2.06
# Murphy_E = 1.406e-10
type: snfs
lss: 1
rlim: 5700000
alim: 5700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5700000/5700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 5650000)
Primes: RFBsize:393606, AFBsize:393837,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 3158191 hash collisions in 19121423 relations (16459098 unique)
Msieve: matrix is 762249 x 762474 (213.8 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0hrs 15min 48sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 28sec.

Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,5700000,5700000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.038684] smpboot: CPU0: Intel(R) Core(TM) i7-4790 CPU @ 3.60GHz (fam: 06, model: 3c, stepping: 03)
[    0.000000] Memory: 16059644K/16661464K available (7373K kernel code, 1159K rwdata, 3228K rodata, 1468K init, 1504K bss, 601820K reserved)
[    1.137325] [drm] Memory usable by graphics device = 2048M
[    0.000027] Calibrating delay loop (skipped), value calculated using timer frequency.. 7200.13 BogoMIPS (lpj=3600065)
[    0.136532] smpboot: Total of 8 processors activated (57601.04 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:13 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 13 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:34 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 34 秒 (日本時間)
4511e62000 / 3916Serge BatalovDecember 20, 2014 04:01:53 UTC 2014 年 12 月 20 日 (土) 13 時 1 分 53 秒 (日本時間)

10178+1193

c112

name 名前Cyp
date 日付December 21, 2014 06:37:32 UTC 2014 年 12 月 21 日 (日) 15 時 37 分 32 秒 (日本時間)
composite number 合成数
1967010774389859642826059642097420993880988295681045823570398063535358109805788301407917116344964971343494227143<112>
prime factors 素因数
330238804637081358901149936285692991325315912646791<51>
5956328410743620076967052623497601939889501990135214383745473<61>
factorization results 素因数分解の結果
12/21/14 05:40:14 v1.34.3, 
12/21/14 05:40:14 v1.34.3, ****************************
12/21/14 05:40:14 v1.34.3, Starting factorization of 1967010774389859642826059642097420993880988295681045823570398063535358109805788301407917116344964971343494227143
12/21/14 05:40:14 v1.34.3, using pretesting plan: none
12/21/14 05:40:14 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/21/14 05:40:14 v1.34.3, ****************************
12/21/14 05:40:14 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C112
12/21/14 05:40:14 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C112
12/21/14 05:40:14 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C112
12/21/14 05:40:14 v1.34.3, final ECM pretested depth: 0.00
12/21/14 05:40:14 v1.34.3, scheduler: switching to sieve method
12/21/14 05:40:14 v1.34.3, nfs: commencing nfs on c112: 1967010774389859642826059642097420993880988295681045823570398063535358109805788301407917116344964971343494227143
12/21/14 05:40:14 v1.34.3, nfs: commencing poly selection with 8 threads
12/21/14 05:40:14 v1.34.3, nfs: setting deadline of 575 seconds
12/21/14 05:50:05 v1.34.3, nfs: completed 154 ranges of size 250 in 591.0257 seconds
12/21/14 05:50:05 v1.34.3, nfs: best poly = # norm 1.406693e-10 alpha -6.679595 e 8.429e-10 rroots 5
12/21/14 05:50:05 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 05:55:19 v1.34.3, nfs: commencing lattice sieving with 8 threads
[11 lines snipped]
12/21/14 06:58:30 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 07:03:44 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 07:08:57 v1.34.3, nfs: commencing msieve filtering
12/21/14 07:09:42 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 07:14:44 v1.34.3, nfs: commencing msieve filtering
12/21/14 07:15:33 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 07:20:51 v1.34.3, nfs: commencing msieve filtering
12/21/14 07:21:43 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 07:27:16 v1.34.3, nfs: commencing msieve filtering
12/21/14 07:28:24 v1.34.3, nfs: commencing msieve linear algebra
12/21/14 07:33:32 v1.34.3, nfs: commencing msieve sqrt
12/21/14 07:37:31 v1.34.3, prp61 = 5956328410743620076967052623497601939889501990135214383745473
12/21/14 07:37:31 v1.34.3, prp51 = 330238804637081358901149936285692991325315912646791
12/21/14 07:37:31 v1.34.3, NFS elapsed time = 7036.6941 seconds.
12/21/14 07:37:31 v1.34.3, 
12/21/14 07:37:31 v1.34.3, 
12/21/14 07:37:31 v1.34.3, Total factoring time = 7036.7166 seconds
--
Sun Dec 21 07:08:57 2014  
Sun Dec 21 07:08:57 2014  commencing relation filtering
Sun Dec 21 07:08:57 2014  estimated available RAM is 15987.3 MB
Sun Dec 21 07:08:57 2014  commencing duplicate removal, pass 1
Sun Dec 21 07:09:11 2014  found 433686 hash collisions in 4700532 relations
Sun Dec 21 07:09:16 2014  added 32578 free relations
Sun Dec 21 07:09:16 2014  commencing duplicate removal, pass 2
Sun Dec 21 07:09:20 2014  found 176325 duplicates and 4556785 unique relations
Sun Dec 21 07:09:20 2014  memory use: 20.6 MB
Sun Dec 21 07:09:20 2014  reading ideals above 100000
Sun Dec 21 07:09:20 2014  commencing singleton removal, initial pass
Sun Dec 21 07:09:40 2014  memory use: 172.2 MB
Sun Dec 21 07:09:40 2014  reading all ideals from disk
Sun Dec 21 07:09:40 2014  memory use: 153.9 MB
Sun Dec 21 07:09:40 2014  keeping 5477427 ideals with weight <= 200, target excess is 24392
Sun Dec 21 07:09:40 2014  commencing in-memory singleton removal
Sun Dec 21 07:09:40 2014  begin with 4556785 relations and 5477427 unique ideals
Sun Dec 21 07:09:42 2014  reduce to 852655 relations and 1010537 ideals in 42 passes
Sun Dec 21 07:09:42 2014  max relations containing the same ideal: 67
Sun Dec 21 07:14:44 2014  
Sun Dec 21 07:14:44 2014  commencing relation filtering
Sun Dec 21 07:14:44 2014  estimated available RAM is 15987.3 MB
Sun Dec 21 07:14:44 2014  commencing duplicate removal, pass 1
Sun Dec 21 07:15:00 2014  found 488837 hash collisions in 5034319 relations
Sun Dec 21 07:15:05 2014  added 69 free relations
Sun Dec 21 07:15:05 2014  commencing duplicate removal, pass 2
Sun Dec 21 07:15:09 2014  found 198028 duplicates and 4836360 unique relations
Sun Dec 21 07:15:09 2014  memory use: 20.6 MB
Sun Dec 21 07:15:09 2014  reading ideals above 100000
Sun Dec 21 07:15:09 2014  commencing singleton removal, initial pass
Sun Dec 21 07:15:30 2014  memory use: 172.2 MB
Sun Dec 21 07:15:31 2014  reading all ideals from disk
Sun Dec 21 07:15:31 2014  memory use: 163.4 MB
Sun Dec 21 07:15:31 2014  keeping 5609506 ideals with weight <= 200, target excess is 25473
Sun Dec 21 07:15:31 2014  commencing in-memory singleton removal
Sun Dec 21 07:15:31 2014  begin with 4836360 relations and 5609506 unique ideals
Sun Dec 21 07:15:33 2014  reduce to 1340363 relations and 1433217 ideals in 29 passes
Sun Dec 21 07:15:33 2014  max relations containing the same ideal: 82
Sun Dec 21 07:20:51 2014  
Sun Dec 21 07:20:51 2014  commencing relation filtering
Sun Dec 21 07:20:51 2014  estimated available RAM is 15987.3 MB
Sun Dec 21 07:20:51 2014  commencing duplicate removal, pass 1
Sun Dec 21 07:21:08 2014  found 543915 hash collisions in 5340071 relations
Sun Dec 21 07:21:13 2014  added 54 free relations
Sun Dec 21 07:21:13 2014  commencing duplicate removal, pass 2
Sun Dec 21 07:21:17 2014  found 221222 duplicates and 5118903 unique relations
Sun Dec 21 07:21:17 2014  memory use: 20.6 MB
Sun Dec 21 07:21:17 2014  reading ideals above 100000
Sun Dec 21 07:21:17 2014  commencing singleton removal, initial pass
Sun Dec 21 07:21:40 2014  memory use: 172.2 MB
Sun Dec 21 07:21:40 2014  reading all ideals from disk
Sun Dec 21 07:21:40 2014  memory use: 173.0 MB
Sun Dec 21 07:21:40 2014  keeping 5734153 ideals with weight <= 200, target excess is 26688
Sun Dec 21 07:21:41 2014  commencing in-memory singleton removal
Sun Dec 21 07:21:41 2014  begin with 5118903 relations and 5734153 unique ideals
Sun Dec 21 07:21:43 2014  reduce to 1761004 relations and 1766508 ideals in 23 passes
Sun Dec 21 07:21:43 2014  max relations containing the same ideal: 97
Sun Dec 21 07:27:16 2014  
Sun Dec 21 07:27:16 2014  commencing relation filtering
Sun Dec 21 07:27:16 2014  estimated available RAM is 15987.3 MB
Sun Dec 21 07:27:16 2014  commencing duplicate removal, pass 1
Sun Dec 21 07:27:34 2014  found 602400 hash collisions in 5653495 relations
Sun Dec 21 07:27:39 2014  added 32 free relations
Sun Dec 21 07:27:39 2014  commencing duplicate removal, pass 2
Sun Dec 21 07:27:44 2014  found 246011 duplicates and 5407516 unique relations
Sun Dec 21 07:27:44 2014  memory use: 20.6 MB
Sun Dec 21 07:27:44 2014  reading ideals above 100000
Sun Dec 21 07:27:44 2014  commencing singleton removal, initial pass
Sun Dec 21 07:28:07 2014  memory use: 172.2 MB
Sun Dec 21 07:28:08 2014  reading all ideals from disk
Sun Dec 21 07:28:08 2014  memory use: 182.8 MB
Sun Dec 21 07:28:08 2014  keeping 5852817 ideals with weight <= 200, target excess is 28081
Sun Dec 21 07:28:08 2014  commencing in-memory singleton removal
Sun Dec 21 07:28:09 2014  begin with 5407516 relations and 5852817 unique ideals
Sun Dec 21 07:28:10 2014  reduce to 2168035 relations and 2066773 ideals in 17 passes
Sun Dec 21 07:28:10 2014  max relations containing the same ideal: 108
Sun Dec 21 07:28:11 2014  removing 310021 relations and 275677 ideals in 34344 cliques
Sun Dec 21 07:28:11 2014  commencing in-memory singleton removal
Sun Dec 21 07:28:11 2014  begin with 1858014 relations and 2066773 unique ideals
Sun Dec 21 07:28:11 2014  reduce to 1820256 relations and 1752480 ideals in 10 passes
Sun Dec 21 07:28:11 2014  max relations containing the same ideal: 96
Sun Dec 21 07:28:12 2014  removing 231349 relations and 197005 ideals in 34344 cliques
Sun Dec 21 07:28:12 2014  commencing in-memory singleton removal
Sun Dec 21 07:28:12 2014  begin with 1588907 relations and 1752480 unique ideals
Sun Dec 21 07:28:12 2014  reduce to 1563021 relations and 1529037 ideals in 8 passes
Sun Dec 21 07:28:12 2014  max relations containing the same ideal: 88
Sun Dec 21 07:28:13 2014  relations with 0 large ideals: 68
Sun Dec 21 07:28:13 2014  relations with 1 large ideals: 173
Sun Dec 21 07:28:13 2014  relations with 2 large ideals: 2787
Sun Dec 21 07:28:13 2014  relations with 3 large ideals: 24437
Sun Dec 21 07:28:13 2014  relations with 4 large ideals: 113698
Sun Dec 21 07:28:13 2014  relations with 5 large ideals: 298609
Sun Dec 21 07:28:13 2014  relations with 6 large ideals: 457477
Sun Dec 21 07:28:13 2014  relations with 7+ large ideals: 665772
Sun Dec 21 07:28:13 2014  commencing 2-way merge
Sun Dec 21 07:28:13 2014  reduce to 893930 relation sets and 859946 unique ideals
Sun Dec 21 07:28:13 2014  commencing full merge
Sun Dec 21 07:28:21 2014  memory use: 96.6 MB
Sun Dec 21 07:28:21 2014  found 436734 cycles, need 432146
Sun Dec 21 07:28:21 2014  weight of 432146 cycles is about 30547847 (70.69/cycle)
Sun Dec 21 07:28:21 2014  distribution of cycle lengths:
Sun Dec 21 07:28:21 2014  1 relations: 49552
Sun Dec 21 07:28:21 2014  2 relations: 48275
Sun Dec 21 07:28:21 2014  3 relations: 47793
Sun Dec 21 07:28:21 2014  4 relations: 43210
Sun Dec 21 07:28:21 2014  5 relations: 39263
Sun Dec 21 07:28:21 2014  6 relations: 33266
Sun Dec 21 07:28:21 2014  7 relations: 29799
Sun Dec 21 07:28:21 2014  8 relations: 25598
Sun Dec 21 07:28:21 2014  9 relations: 21975
Sun Dec 21 07:28:21 2014  10+ relations: 93415
Sun Dec 21 07:28:21 2014  heaviest cycle: 23 relations
Sun Dec 21 07:28:21 2014  commencing cycle optimization
Sun Dec 21 07:28:21 2014  start with 2697449 relations
Sun Dec 21 07:28:24 2014  pruned 56778 relations
Sun Dec 21 07:28:24 2014  memory use: 90.2 MB
Sun Dec 21 07:28:24 2014  distribution of cycle lengths:
Sun Dec 21 07:28:24 2014  1 relations: 49552
Sun Dec 21 07:28:24 2014  2 relations: 49332
Sun Dec 21 07:28:24 2014  3 relations: 49211
Sun Dec 21 07:28:24 2014  4 relations: 44095
Sun Dec 21 07:28:24 2014  5 relations: 40067
Sun Dec 21 07:28:24 2014  6 relations: 33664
Sun Dec 21 07:28:24 2014  7 relations: 29873
Sun Dec 21 07:28:24 2014  8 relations: 25657
Sun Dec 21 07:28:24 2014  9 relations: 21816
Sun Dec 21 07:28:24 2014  10+ relations: 88879
Sun Dec 21 07:28:24 2014  heaviest cycle: 23 relations
Sun Dec 21 07:28:24 2014  RelProcTime: 68
Sun Dec 21 07:28:24 2014  
Sun Dec 21 07:28:24 2014  commencing linear algebra
Sun Dec 21 07:28:24 2014  read 432146 cycles
Sun Dec 21 07:28:24 2014  cycles contain 1515509 unique relations
Sun Dec 21 07:28:32 2014  read 1515509 relations
Sun Dec 21 07:28:33 2014  using 20 quadratic characters above 67106798
Sun Dec 21 07:28:37 2014  building initial matrix
Sun Dec 21 07:28:45 2014  memory use: 192.0 MB
Sun Dec 21 07:28:45 2014  read 432146 cycles
Sun Dec 21 07:28:45 2014  matrix is 431967 x 432146 (131.6 MB) with weight 41890713 (96.94/col)
Sun Dec 21 07:28:45 2014  sparse part has weight 29320874 (67.85/col)
Sun Dec 21 07:28:47 2014  filtering completed in 2 passes
Sun Dec 21 07:28:47 2014  matrix is 431219 x 431398 (131.6 MB) with weight 41856969 (97.03/col)
Sun Dec 21 07:28:47 2014  sparse part has weight 29310357 (67.94/col)
Sun Dec 21 07:28:48 2014  matrix starts at (0, 0)
Sun Dec 21 07:28:48 2014  matrix is 431219 x 431398 (131.6 MB) with weight 41856969 (97.03/col)
Sun Dec 21 07:28:48 2014  sparse part has weight 29310357 (67.94/col)
Sun Dec 21 07:28:48 2014  saving the first 48 matrix rows for later
Sun Dec 21 07:28:48 2014  matrix includes 64 packed rows
Sun Dec 21 07:28:48 2014  matrix is 431171 x 431398 (126.4 MB) with weight 33243141 (77.06/col)
Sun Dec 21 07:28:48 2014  sparse part has weight 28829167 (66.83/col)
Sun Dec 21 07:28:48 2014  using block size 65536 for processor cache size 8192 kB
Sun Dec 21 07:28:49 2014  commencing Lanczos iteration (8 threads)
Sun Dec 21 07:28:49 2014  memory use: 119.6 MB
Sun Dec 21 07:28:57 2014  linear algebra at 2.8%, ETA 0h 4m
Sun Dec 21 07:33:32 2014  lanczos halted after 6822 iterations (dim = 431169)
Sun Dec 21 07:33:32 2014  recovered 28 nontrivial dependencies
Sun Dec 21 07:33:32 2014  BLanczosTime: 308
Sun Dec 21 07:33:32 2014  
Sun Dec 21 07:33:32 2014  commencing square root phase
Sun Dec 21 07:33:32 2014  reading relations for dependency 1
Sun Dec 21 07:33:33 2014  read 216314 cycles
Sun Dec 21 07:33:33 2014  cycles contain 758870 unique relations
Sun Dec 21 07:33:38 2014  read 758870 relations
Sun Dec 21 07:33:40 2014  multiplying 758870 relations
Sun Dec 21 07:34:02 2014  multiply complete, coefficients have about 33.29 million bits
Sun Dec 21 07:34:02 2014  initial square root is modulo 60337
Sun Dec 21 07:34:33 2014  GCD is 1, no factor found
Sun Dec 21 07:34:33 2014  reading relations for dependency 2
Sun Dec 21 07:34:33 2014  read 215782 cycles
Sun Dec 21 07:34:33 2014  cycles contain 757260 unique relations
Sun Dec 21 07:34:38 2014  read 757260 relations
Sun Dec 21 07:34:40 2014  multiplying 757260 relations
Sun Dec 21 07:35:03 2014  multiply complete, coefficients have about 33.22 million bits
Sun Dec 21 07:35:03 2014  initial square root is modulo 58897
Sun Dec 21 07:35:33 2014  GCD is N, no factor found
Sun Dec 21 07:35:33 2014  reading relations for dependency 3
Sun Dec 21 07:35:33 2014  read 215349 cycles
Sun Dec 21 07:35:33 2014  cycles contain 756070 unique relations
Sun Dec 21 07:35:38 2014  read 756070 relations
Sun Dec 21 07:35:40 2014  multiplying 756070 relations
Sun Dec 21 07:36:02 2014  multiply complete, coefficients have about 33.17 million bits
Sun Dec 21 07:36:03 2014  initial square root is modulo 57847
Sun Dec 21 07:36:31 2014  GCD is N, no factor found
Sun Dec 21 07:36:31 2014  reading relations for dependency 4
Sun Dec 21 07:36:31 2014  read 215728 cycles
Sun Dec 21 07:36:31 2014  cycles contain 757318 unique relations
Sun Dec 21 07:36:37 2014  read 757318 relations
Sun Dec 21 07:36:38 2014  multiplying 757318 relations
Sun Dec 21 07:37:01 2014  multiply complete, coefficients have about 33.22 million bits
Sun Dec 21 07:37:01 2014  initial square root is modulo 58897
Sun Dec 21 07:37:31 2014  sqrtTime: 239
--
n: 1967010774389859642826059642097420993880988295681045823570398063535358109805788301407917116344964971343494227143
skew: 38207.71
c0: -323529703871907972269557125
c1: 84552361693241594367735
c2: -814730543101857043
c3: -206867197939043
c4: -42385224
c5: 26220
Y0: -2371563842297849879818
Y1: 169318738871
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B1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:01:43 UTC 2014 年 12 月 20 日 (土) 3 時 1 分 43 秒 (日本時間)

10179+1193

c173

name 名前Jo Yeong Uk
date 日付December 9, 2015 06:22:19 UTC 2015 年 12 月 9 日 (水) 15 時 22 分 19 秒 (日本時間)
composite number 合成数
76468910417436135077742117775886446726786524036854956064787519662068591083266231864442033124802614624984992976330578158490993109386482284829868144657767214872285449266319039<173>
prime factors 素因数
164832130828212347863696018880548140195680912288024335869027707<63>
463919928919270299587551854970061729523343279060411544492940424970950551994943061893267219352030053106743860877<111>
factorization results 素因数分解の結果
Number: 33373_179
N=76468910417436135077742117775886446726786524036854956064787519662068591083266231864442033124802614624984992976330578158490993109386482284829868144657767214872285449266319039
  ( 173 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=164832130828212347863696018880548140195680912288024335869027707
 r2=463919928919270299587551854970061729523343279060411544492940424970950551994943061893267219352030053106743860877
Version: 
Total time: 50.46 hours.
Scaled time: 264.79 units (timescale=5.247).
Factorization parameters were as follows:
n: 76468910417436135077742117775886446726786524036854956064787519662068591083266231864442033124802614624984992976330578158490993109386482284829868144657767214872285449266319039
m: 1000000000000000000000000000000000000
deg: 5
c5: 1
c0: 1190
skew: 4.12
# Murphy_E = 8.86e-11
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [2800000, 5200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 17942243
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1301235 x 1301483
Total sieving time: 47.20 hours.
Total relation processing time: 1.10 hours.
Matrix solve time: 2.01 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,5600000,5600000,28,28,53,53,2.5,2.5,100000
total time: 50.46 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B1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:00 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 0 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:50 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 50 秒 (日本時間)
4511e6600 / 4342KTakahashiMay 16, 2015 00:08:23 UTC 2015 年 5 月 16 日 (土) 9 時 8 分 23 秒 (日本時間)

10180+1193

c133

name 名前Jo Yeong Uk
date 日付December 31, 2015 18:19:16 UTC 2016 年 1 月 1 日 (金) 3 時 19 分 16 秒 (日本時間)
composite number 合成数
5317924614330409379635620426120077846036423393717900110034540462521047690794423112458568074911349697466216852830260417616736855847893<133>
prime factors 素因数
6443157233055455439095101868998150426993931498160149172484589<61>
825360055943964370320014203298728327137686790699622567431414404380492937<72>
factorization results 素因数分解の結果
Number: 33373_180
N=5317924614330409379635620426120077846036423393717900110034540462521047690794423112458568074911349697466216852830260417616736855847893
  ( 133 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=6443157233055455439095101868998150426993931498160149172484589
 r2=825360055943964370320014203298728327137686790699622567431414404380492937
Version: 
Total time: 36.97 hours.
Scaled time: 194.00 units (timescale=5.247).
Factorization parameters were as follows:
n: 5317924614330409379635620426120077846036423393717900110034540462521047690794423112458568074911349697466216852830260417616736855847893
m: 1000000000000000000000000000000000000
deg: 5
c5: 1
c0: 119
skew: 2.60
# Murphy_E = 1.28e-10
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [2800000, 4500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 17601294
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1135346 x 1135594
Total sieving time: 34.48 hours.
Total relation processing time: 0.79 hours.
Matrix solve time: 1.38 hours.
Time per square root: 0.33 hours.
Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,5600000,5600000,28,28,53,53,2.5,2.5,100000
total time: 36.97 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B1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:01 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 1 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:50 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 50 秒 (日本時間)
4511e63830498CypJanuary 31, 2015 23:48:13 UTC 2015 年 2 月 1 日 (日) 8 時 48 分 13 秒 (日本時間)
3332KTakahashiJuly 15, 2015 04:20:48 UTC 2015 年 7 月 15 日 (水) 13 時 20 分 48 秒 (日本時間)
5043e6146 / 6670Pierre JammesMarch 9, 2015 06:13:05 UTC 2015 年 3 月 9 日 (月) 15 時 13 分 5 秒 (日本時間)

10182+1193

c170

name 名前Serge Batalov
date 日付December 21, 2014 01:56:45 UTC 2014 年 12 月 21 日 (日) 10 時 56 分 45 秒 (日本時間)
composite number 合成数
42979888582672125841746120435586686270666392537517806448210653677941207152926355596720844187812223298097869151030442861283849929847326436724130912860554924846115364228071<170>
prime factors 素因数
929010957119769393473609783549287843<36>
composite cofactor 合成数の残り
46264135264801939705754999790543902130911919539709280142394585551925594906200320534562079306686448320646901284646445130080200942761197<134>
factorization results 素因数分解の結果
Input number is 42979888582672125841746120435586686270666392537517806448210653677941207152926355596720844187812223298097869151030442861283849929847326436724130912860554924846115364228071 (170 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=158522014
Step 1 took 10983ms
Step 2 took 8317ms
********** Factor found in step 2: 929010957119769393473609783549287843
Found probable prime factor of 36 digits: 929010957119769393473609783549287843
Composite cofactor 46264135264801939705754999790543902130911919539709280142394585551925594906200320534562079306686448320646901284646445130080200942761197 has 134 digits

c134

name 名前Markus Tervooren
date 日付January 31, 2016 21:43:18 UTC 2016 年 2 月 1 日 (月) 6 時 43 分 18 秒 (日本時間)
composite number 合成数
46264135264801939705754999790543902130911919539709280142394585551925594906200320534562079306686448320646901284646445130080200942761197<134>
prime factors 素因数
82484367831873188673179388219357695829201473913383933<53>
560883673850801927894540734624993581743316404233218410327908724391673953595762609<81>
factorization results 素因数分解の結果
Msieve v. 1.52 (SVN Nicht versioniertes Verzeichnis)
Sun Jan 31 21:51:05 2016
random seeds: ed1c354c ff4ce90e
factoring 46264135264801939705754999790543902130911919539709280142394585551925594906200320534562079306686448320646901284646445130080200942761197 (134 digits)
searching for 15-digit factors
commencing number field sieve (134-digit input)
R0: -1000000000000000000000000000000000000
R1: 1
A0: 119
A1: 0
A2: 0
A3: 0
A4: 0
A5: 100
skew 1.00, size 7.264e-13, alpha 0.651, combined = 6.906e-11 rroots = 1

commencing relation filtering
estimated available RAM is 31866.2 MB
commencing duplicate removal, pass 1
error -9 reading relation 2083480
error -15 reading relation 4382286
error -15 reading relation 4384714
error -9 reading relation 6458189
error -11 reading relation 8435327
read 10M relations
error -5 reading relation 11668234

error -15 reading relation 15290296
error -5 reading relation 19073888
read 20M relations
error -15 reading relation 22907063
error -15 reading relation 22907299
error -5 reading relation 26741795
read 30M relations
error -15 reading relation 30501131
error -15 reading relation 30516260
error -1 reading relation 30532224
error -9 reading relation 30548281
error -11 reading relation 34213814
error -11 reading relation 34231384
error -9 reading relation 34267802
error -15 reading relation 34285831
error -11 reading relation 34304254
error -11 reading relation 36429928
error -9 reading relation 36431219
skipped 1 relations with b > 2^32
found 3295569 hash collisions in 38535706 relations
added 730776 free relations
commencing duplicate removal, pass 2
found 2320759 duplicates and 36945723 unique relations
memory use: 130.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1164.3 MB
keeping 36902028 ideals with weight <= 200, target excess is 338082
commencing in-memory singleton removal
begin with 36945722 relations and 36902028 unique ideals
reduce to 16709723 relations and 13484301 ideals in 15 passes
max relations containing the same ideal: 120
removing 2310637 relations and 1910637 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 14399086 relations and 13484301 unique ideals
reduce to 14138553 relations and 11304776 ideals in 9 passes
max relations containing the same ideal: 110
removing 1737933 relations and 1337933 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 12400620 relations and 11304776 unique ideals
reduce to 12233858 relations and 9795211 ideals in 10 passes
max relations containing the same ideal: 98
removing 1562329 relations and 1162329 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 10671529 relations and 9795211 unique ideals
reduce to 10518960 relations and 8475509 ideals in 8 passes
max relations containing the same ideal: 87
removing 1474189 relations and 1074189 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 9044771 relations and 8475509 unique ideals
reduce to 8892577 relations and 7243818 ideals in 8 passes
max relations containing the same ideal: 81
removing 1418571 relations and 1018571 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 7474006 relations and 7243818 unique ideals
reduce to 7312708 relations and 6057379 ideals in 8 passes
max relations containing the same ideal: 71
removing 1385787 relations and 985787 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 5926921 relations and 6057379 unique ideals
reduce to 5743414 relations and 4879107 ideals in 8 passes
max relations containing the same ideal: 63
removing 1365989 relations and 965989 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 4377425 relations and 4879107 unique ideals
reduce to 4149875 relations and 3671437 ideals in 8 passes
max relations containing the same ideal: 49
removing 411085 relations and 324823 ideals in 86262 cliques
commencing in-memory singleton removal
begin with 3738790 relations and 3671437 unique ideals
reduce to 3708774 relations and 3316050 ideals in 7 passes
max relations containing the same ideal: 48
relations with 0 large ideals: 10767
relations with 1 large ideals: 79346
relations with 2 large ideals: 370972
relations with 3 large ideals: 858332
relations with 4 large ideals: 1084152
relations with 5 large ideals: 795855
relations with 6 large ideals: 382505
relations with 7+ large ideals: 126845
commencing 2-way merge
reduce to 2166165 relation sets and 1773441 unique ideals
commencing full merge
memory use: 192.5 MB
found 1133894 cycles, need 1079641
weight of 1079641 cycles is about 75895917 (70.30/cycle)
distribution of cycle lengths:
1 relations: 107483
2 relations: 110128
3 relations: 118772
4 relations: 118020
5 relations: 115738
6 relations: 107867
7 relations: 96438
8 relations: 82945
9 relations: 68876
10+ relations: 153374
heaviest cycle: 16 relations
commencing cycle optimization
start with 6058046 relations
pruned 144768 relations
memory use: 206.3 MB
distribution of cycle lengths:
1 relations: 107483
2 relations: 112535
3 relations: 122751
4 relations: 121623
5 relations: 119737
6 relations: 110644
7 relations: 98551
8 relations: 83529
9 relations: 68076
10+ relations: 134712
heaviest cycle: 16 relations
RelProcTime: 461

commencing linear algebra
read 1079641 cycles
cycles contain 3450904 unique relations
read 3450904 relations
using 20 quadratic characters above 536851634
building initial matrix
memory use: 424.6 MB
read 1079641 cycles
matrix is 1079455 x 1079641 (324.7 MB) with weight 95571317 (88.52/col)
sparse part has weight 73242963 (67.84/col)
filtering completed in 2 passes
matrix is 1077954 x 1078140 (324.5 MB) with weight 95515487 (88.59/col)
sparse part has weight 73216500 (67.91/col)
matrix starts at (0, 0)
matrix is 1077954 x 1078140 (324.5 MB) with weight 95515487 (88.59/col)
sparse part has weight 73216500 (67.91/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 1077906 x 1078140 (307.9 MB) with weight 76402486 (70.87/col)
sparse part has weight 69937154 (64.87/col)
using block size 8192 and superblock size 786432 for processor cache size 8192 kB
commencing Lanczos iteration (4 threads)
memory use: 245.3 MB
linear algebra at 0.1%, ETA 0h23m1078140 dimensions (0.1%, ETA 0h23m)    
checkpointing every 2430000 dimensions40 dimensions (0.2%, ETA 0h26m)    
linear algebra completed 1077906 of 1078140 dimensions (100.0%, ETA 0h 0m)    
lanczos halted after 17045 iterations (dim = 1077906)
recovered 41 nontrivial dependencies
BLanczosTime: 1948

commencing square root phase
reading relations for dependency 1
read 538226 cycles
cycles contain 1722188 unique relations
read 1722188 relations
multiplying 1722188 relations
multiply complete, coefficients have about 50.97 million bits
initial square root is modulo 20776621
GCD is N, no factor found
reading relations for dependency 2
read 538939 cycles
cycles contain 1725326 unique relations
read 1725326 relations
multiplying 1725326 relations
multiply complete, coefficients have about 51.06 million bits
initial square root is modulo 21427621
sqrtTime: 197
prp53 factor: 82484367831873188673179388219357695829201473913383933
prp81 factor: 560883673850801927894540734624993581743316404233218410327908724391673953595762609
elapsed time 00:43:27

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 20, 2014 21:22:01 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 1 秒 (日本時間)
4511e64409880Pierre JammesMarch 10, 2015 07:46:35 UTC 2015 年 3 月 10 日 (火) 16 時 46 分 35 秒 (日本時間)
3529KTakahashiJuly 25, 2015 06:57:48 UTC 2015 年 7 月 25 日 (土) 15 時 57 分 48 秒 (日本時間)

10183+1193

c143

name 名前Pierre Jammes
date 日付April 21, 2015 05:11:18 UTC 2015 年 4 月 21 日 (火) 14 時 11 分 18 秒 (日本時間)
composite number 合成数
43290889364016478203783539711380710981893127017018002152365288043708178999666000648618030879751161401572138246173136082099760604567698744596911<143>
prime factors 素因数
1636706625591068525975636956596311403359<40>
26449999460583057156355262814608439217193018884523843859723478471026984843663547733353531121230496580529<104>
factorization results 素因数分解の結果
Using B1=11000000, B2=144269945836, polynomial Dickson(12), sigma=2987347445
Step 1 took 73680ms
Step 2 took 58592ms
********** Factor found in step 2: 1636706625591068525975636956596311403359
Found probable prime factor of 40 digits: 1636706625591068525975636956596311403359
Probable prime cofactor 26449999460583057156355262814608439217193018884523843859723478471026984843663547733353531121230496580529 has 104 digits
software ソフトウェア
6.4.4
execution environment 実行環境
debian 8

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:22:02 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 2 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:50 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 50 秒 (日本時間)

10186+1193

c169

name 名前Alfred Reich
date 日付October 31, 2016 22:58:18 UTC 2016 年 11 月 1 日 (火) 7 時 58 分 18 秒 (日本時間)
composite number 合成数
1563418431455841770582653395817528525685958220089723437754761202498316708945377834603172974546126265968413177060615671215758932953483285764766750065638356616364120308979<169>
prime factors 素因数
638737564135088606309444305429242855028528236371260023294464111767065943331093<78>
2447669464332912654468112866608869762763950946567979171351260753774002401850975669017724903<91>
factorization results 素因数分解の結果
#
# 14e -f 3000000 -c 15000000 -r
# Murphy_E = 4.71e-11
# type=snfs
# rlim=alim=8800000
# lpbr=lpba=29
# mfbr=mfba=56
# rlambda=alambda=2.5
#
Mon Oct 31 22:30:40 2016  
Mon Oct 31 22:30:40 2016  
Mon Oct 31 22:30:40 2016  Msieve v. 1.53 (SVN 967)
Mon Oct 31 22:30:40 2016  random seeds: c293cae8 1c37c51b
Mon Oct 31 22:30:40 2016  factoring 1563418431455841770582653395817528525685958220089723437754761202498316708945377834603172974546126265968413177060615671215758932953483285764766750065638356616364120308979 (169 digits)
Mon Oct 31 22:30:41 2016  no P-1/P+1/ECM available, skipping
Mon Oct 31 22:30:41 2016  commencing number field sieve (169-digit input)
Mon Oct 31 22:30:41 2016  R0: -10000000000000000000000000000000000000
Mon Oct 31 22:30:41 2016  R1: 1
Mon Oct 31 22:30:41 2016  A0: 119
Mon Oct 31 22:30:41 2016  A1: 0
Mon Oct 31 22:30:41 2016  A2: 0
Mon Oct 31 22:30:41 2016  A3: 0
Mon Oct 31 22:30:41 2016  A4: 0
Mon Oct 31 22:30:41 2016  A5: 10
Mon Oct 31 22:30:41 2016  skew 1.64, size 3.889e-013, alpha 1.604, combined = 4.533e-011 rroots = 1
Mon Oct 31 22:30:41 2016  
Mon Oct 31 22:30:41 2016  commencing relation filtering
Mon Oct 31 22:30:41 2016  estimated available RAM is 24567.3 MB
Mon Oct 31 22:30:41 2016  commencing duplicate removal, pass 1
Mon Oct 31 22:39:47 2016  skipped 2 relations with b > 2^32
Mon Oct 31 22:39:47 2016  skipped 4 relations with composite factors
Mon Oct 31 22:39:47 2016  found 4097915 hash collisions in 43536731 relations
Mon Oct 31 22:40:35 2016  added 730720 free relations
Mon Oct 31 22:40:35 2016  commencing duplicate removal, pass 2
Mon Oct 31 22:40:52 2016  found 2926351 duplicates and 41341100 unique relations
Mon Oct 31 22:40:52 2016  memory use: 197.2 MB
Mon Oct 31 22:40:52 2016  reading ideals above 720000
Mon Oct 31 22:40:53 2016  commencing singleton removal, initial pass
Mon Oct 31 22:48:26 2016  memory use: 753.0 MB
Mon Oct 31 22:48:27 2016  reading all ideals from disk
Mon Oct 31 22:48:28 2016  memory use: 1337.2 MB
Mon Oct 31 22:48:32 2016  keeping 39810873 ideals with weight <= 200, target excess is 279283
Mon Oct 31 22:48:35 2016  commencing in-memory singleton removal
Mon Oct 31 22:48:38 2016  begin with 41341099 relations and 39810873 unique ideals
Mon Oct 31 22:49:05 2016  reduce to 21211406 relations and 16893234 ideals in 13 passes
Mon Oct 31 22:49:06 2016  max relations containing the same ideal: 136
Mon Oct 31 22:49:14 2016  removing 2322277 relations and 1922277 ideals in 400000 cliques
Mon Oct 31 22:49:15 2016  commencing in-memory singleton removal
Mon Oct 31 22:49:16 2016  begin with 18889129 relations and 16893234 unique ideals
Mon Oct 31 22:49:29 2016  reduce to 18681103 relations and 14757798 ideals in 8 passes
Mon Oct 31 22:49:29 2016  max relations containing the same ideal: 121
Mon Oct 31 22:49:36 2016  removing 1751937 relations and 1351937 ideals in 400000 cliques
Mon Oct 31 22:49:37 2016  commencing in-memory singleton removal
Mon Oct 31 22:49:38 2016  begin with 16929166 relations and 14757798 unique ideals
Mon Oct 31 22:49:48 2016  reduce to 16799807 relations and 13273619 ideals in 9 passes
Mon Oct 31 22:49:48 2016  max relations containing the same ideal: 115
Mon Oct 31 22:49:54 2016  removing 1572159 relations and 1172159 ideals in 400000 cliques
Mon Oct 31 22:49:55 2016  commencing in-memory singleton removal
Mon Oct 31 22:49:56 2016  begin with 15227648 relations and 13273619 unique ideals
Mon Oct 31 22:50:03 2016  reduce to 15114209 relations and 11985347 ideals in 7 passes
Mon Oct 31 22:50:03 2016  max relations containing the same ideal: 107
Mon Oct 31 22:50:09 2016  removing 1481361 relations and 1081361 ideals in 400000 cliques
Mon Oct 31 22:50:09 2016  commencing in-memory singleton removal
Mon Oct 31 22:50:10 2016  begin with 13632848 relations and 11985347 unique ideals
Mon Oct 31 22:50:17 2016  reduce to 13524026 relations and 10792514 ideals in 8 passes
Mon Oct 31 22:50:17 2016  max relations containing the same ideal: 99
Mon Oct 31 22:50:22 2016  removing 1424222 relations and 1024222 ideals in 400000 cliques
Mon Oct 31 22:50:22 2016  commencing in-memory singleton removal
Mon Oct 31 22:50:23 2016  begin with 12099804 relations and 10792514 unique ideals
Mon Oct 31 22:50:29 2016  reduce to 11991418 relations and 9657060 ideals in 7 passes
Mon Oct 31 22:50:29 2016  max relations containing the same ideal: 91
Mon Oct 31 22:50:33 2016  removing 1388968 relations and 988968 ideals in 400000 cliques
Mon Oct 31 22:50:33 2016  commencing in-memory singleton removal
Mon Oct 31 22:50:34 2016  begin with 10602450 relations and 9657060 unique ideals
Mon Oct 31 22:50:40 2016  reduce to 10489984 relations and 8552182 ideals in 7 passes
Mon Oct 31 22:50:40 2016  max relations containing the same ideal: 84
Mon Oct 31 22:50:44 2016  removing 1363784 relations and 963784 ideals in 400000 cliques
Mon Oct 31 22:50:44 2016  commencing in-memory singleton removal
Mon Oct 31 22:50:45 2016  begin with 9126200 relations and 8552182 unique ideals
Mon Oct 31 22:50:49 2016  reduce to 9004523 relations and 7462622 ideals in 7 passes
Mon Oct 31 22:50:49 2016  max relations containing the same ideal: 75
Mon Oct 31 22:50:52 2016  removing 1348266 relations and 948266 ideals in 400000 cliques
Mon Oct 31 22:50:52 2016  commencing in-memory singleton removal
Mon Oct 31 22:50:53 2016  begin with 7656257 relations and 7462622 unique ideals
Mon Oct 31 22:50:56 2016  reduce to 7520063 relations and 6372923 ideals in 7 passes
Mon Oct 31 22:50:56 2016  max relations containing the same ideal: 65
Mon Oct 31 22:50:59 2016  removing 1339664 relations and 939664 ideals in 400000 cliques
Mon Oct 31 22:50:59 2016  commencing in-memory singleton removal
Mon Oct 31 22:50:59 2016  begin with 6180399 relations and 6372923 unique ideals
Mon Oct 31 22:51:03 2016  reduce to 6020481 relations and 5265990 ideals in 9 passes
Mon Oct 31 22:51:03 2016  max relations containing the same ideal: 56
Mon Oct 31 22:51:05 2016  removing 1338734 relations and 938734 ideals in 400000 cliques
Mon Oct 31 22:51:06 2016  commencing in-memory singleton removal
Mon Oct 31 22:51:06 2016  begin with 4681747 relations and 5265990 unique ideals
Mon Oct 31 22:51:08 2016  reduce to 4480566 relations and 4114551 ideals in 9 passes
Mon Oct 31 22:51:08 2016  max relations containing the same ideal: 45
Mon Oct 31 22:51:10 2016  removing 228020 relations and 185974 ideals in 42046 cliques
Mon Oct 31 22:51:10 2016  commencing in-memory singleton removal
Mon Oct 31 22:51:10 2016  begin with 4252546 relations and 4114551 unique ideals
Mon Oct 31 22:51:11 2016  reduce to 4244927 relations and 3920887 ideals in 6 passes
Mon Oct 31 22:51:11 2016  max relations containing the same ideal: 44
Mon Oct 31 22:51:12 2016  relations with 0 large ideals: 6802
Mon Oct 31 22:51:12 2016  relations with 1 large ideals: 28018
Mon Oct 31 22:51:12 2016  relations with 2 large ideals: 171539
Mon Oct 31 22:51:12 2016  relations with 3 large ideals: 555906
Mon Oct 31 22:51:12 2016  relations with 4 large ideals: 1037993
Mon Oct 31 22:51:12 2016  relations with 5 large ideals: 1171606
Mon Oct 31 22:51:12 2016  relations with 6 large ideals: 835425
Mon Oct 31 22:51:12 2016  relations with 7+ large ideals: 437638
Mon Oct 31 22:51:12 2016  commencing 2-way merge
Mon Oct 31 22:51:14 2016  reduce to 2543580 relation sets and 2219540 unique ideals
Mon Oct 31 22:51:14 2016  commencing full merge
Mon Oct 31 22:51:38 2016  memory use: 262.0 MB
Mon Oct 31 22:51:38 2016  found 1348213 cycles, need 1303740
Mon Oct 31 22:51:38 2016  weight of 1303740 cycles is about 91404406 (70.11/cycle)
Mon Oct 31 22:51:38 2016  distribution of cycle lengths:
Mon Oct 31 22:51:38 2016  1 relations: 131884
Mon Oct 31 22:51:38 2016  2 relations: 134792
Mon Oct 31 22:51:38 2016  3 relations: 145802
Mon Oct 31 22:51:38 2016  4 relations: 145864
Mon Oct 31 22:51:38 2016  5 relations: 143095
Mon Oct 31 22:51:38 2016  6 relations: 131539
Mon Oct 31 22:51:38 2016  7 relations: 116076
Mon Oct 31 22:51:38 2016  8 relations: 98336
Mon Oct 31 22:51:38 2016  9 relations: 79648
Mon Oct 31 22:51:38 2016  10+ relations: 176704
Mon Oct 31 22:51:38 2016  heaviest cycle: 17 relations
Mon Oct 31 22:51:38 2016  commencing cycle optimization
Mon Oct 31 22:51:40 2016  start with 7238126 relations
Mon Oct 31 22:51:50 2016  pruned 182965 relations
Mon Oct 31 22:51:50 2016  memory use: 243.7 MB
Mon Oct 31 22:51:50 2016  distribution of cycle lengths:
Mon Oct 31 22:51:50 2016  1 relations: 131884
Mon Oct 31 22:51:50 2016  2 relations: 137736
Mon Oct 31 22:51:50 2016  3 relations: 151140
Mon Oct 31 22:51:50 2016  4 relations: 150438
Mon Oct 31 22:51:50 2016  5 relations: 147718
Mon Oct 31 22:51:50 2016  6 relations: 135026
Mon Oct 31 22:51:50 2016  7 relations: 118590
Mon Oct 31 22:51:50 2016  8 relations: 98582
Mon Oct 31 22:51:50 2016  9 relations: 78504
Mon Oct 31 22:51:50 2016  10+ relations: 154122
Mon Oct 31 22:51:50 2016  heaviest cycle: 17 relations
Mon Oct 31 22:51:53 2016  RelProcTime: 1272
Mon Oct 31 22:51:53 2016  
Mon Oct 31 22:51:53 2016  commencing linear algebra
Mon Oct 31 22:51:53 2016  read 1303740 cycles
Mon Oct 31 22:51:54 2016  cycles contain 4050477 unique relations
Mon Oct 31 22:52:38 2016  read 4050477 relations
Mon Oct 31 22:52:43 2016  using 20 quadratic characters above 536870838
Mon Oct 31 22:53:01 2016  building initial matrix
Mon Oct 31 22:53:37 2016  memory use: 523.7 MB
Mon Oct 31 22:53:43 2016  read 1303740 cycles
Mon Oct 31 22:53:43 2016  matrix is 1303558 x 1303740 (390.6 MB) with weight 115454777 (88.56/col)
Mon Oct 31 22:53:43 2016  sparse part has weight 88039886 (67.53/col)
Mon Oct 31 22:53:54 2016  filtering completed in 2 passes
Mon Oct 31 22:53:54 2016  matrix is 1302709 x 1302890 (390.5 MB) with weight 115425515 (88.59/col)
Mon Oct 31 22:53:54 2016  sparse part has weight 88027916 (67.56/col)
Mon Oct 31 22:54:11 2016  matrix starts at (0, 0)
Mon Oct 31 22:54:11 2016  matrix is 1302709 x 1302890 (390.5 MB) with weight 115425515 (88.59/col)
Mon Oct 31 22:54:11 2016  sparse part has weight 88027916 (67.56/col)
Mon Oct 31 22:54:11 2016  saving the first 48 matrix rows for later
Mon Oct 31 22:54:11 2016  matrix includes 64 packed rows
Mon Oct 31 22:54:11 2016  matrix is 1302661 x 1302890 (369.1 MB) with weight 91245274 (70.03/col)
Mon Oct 31 22:54:11 2016  sparse part has weight 83725792 (64.26/col)
Mon Oct 31 22:54:11 2016  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Mon Oct 31 22:54:16 2016  commencing Lanczos iteration (12 threads)
Mon Oct 31 22:54:16 2016  memory use: 296.0 MB
Mon Oct 31 22:54:20 2016  linear algebra at 0.1%, ETA 0h42m
Mon Oct 31 22:54:21 2016  checkpointing every 1830000 dimensions
Mon Oct 31 23:45:29 2016  lanczos halted after 20606 iterations (dim = 1302656)
Mon Oct 31 23:45:31 2016  recovered 33 nontrivial dependencies
Mon Oct 31 23:45:32 2016  BLanczosTime: 3219
Mon Oct 31 23:45:32 2016  
Mon Oct 31 23:45:32 2016  commencing square root phase
Mon Oct 31 23:45:32 2016  reading relations for dependency 1
Mon Oct 31 23:45:32 2016  read 652280 cycles
Mon Oct 31 23:45:33 2016  cycles contain 2027288 unique relations
Mon Oct 31 23:45:58 2016  read 2027288 relations
Mon Oct 31 23:46:07 2016  multiplying 2027288 relations
Mon Oct 31 23:47:24 2016  multiply complete, coefficients have about 54.55 million bits
Mon Oct 31 23:47:24 2016  initial square root is modulo 67874171
Mon Oct 31 23:49:22 2016  sqrtTime: 230
Mon Oct 31 23:49:22 2016  prp78 factor: 638737564135088606309444305429242855028528236371260023294464111767065943331093
Mon Oct 31 23:49:22 2016  prp91 factor: 2447669464332912654468112866608869762763950946567979171351260753774002401850975669017724903
Mon Oct 31 23:49:22 2016  elapsed time 01:18:42

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:02 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 2 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:51 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 51 秒 (日本時間)
4511e6600 / 4342KTakahashiJune 1, 2015 22:49:42 UTC 2015 年 6 月 2 日 (火) 7 時 49 分 42 秒 (日本時間)

10188+1193

c188

name 名前Serge Batalov
date 日付December 19, 2014 18:01:46 UTC 2014 年 12 月 20 日 (土) 3 時 1 分 46 秒 (日本時間)
composite number 合成数
33333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333373<188>
prime factors 素因数
461989446119252043950554463851<30>
composite cofactor 合成数の残り
72151720376592960532426867456888762415683646366612249076872218367619736998444361507505913631045989791784648214528770778155394761432629352570572241948311184823<158>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3086498795
Step 1 took 4645ms
Step 2 took 2930ms
********** Factor found in step 2: 461989446119252043950554463851
Found probable prime factor of 30 digits: 461989446119252043950554463851
Composite cofactor

c158

name 名前LegionMammal978
date 日付July 16, 2017 01:39:48 UTC 2017 年 7 月 16 日 (日) 10 時 39 分 48 秒 (日本時間)
composite number 合成数
72151720376592960532426867456888762415683646366612249076872218367619736998444361507505913631045989791784648214528770778155394761432629352570572241948311184823<158>
prime factors 素因数
20376419180807223970939897152709237140207338578010300849873107<62>
3540942092737936459916247209203454827603498849391180682090903588161569098995727944794633373726989<97>
factorization results 素因数分解の結果
Sat Jul 15 18:19:14 2017  Msieve v. 1.53 (SVN Unversioned directory)
Sat Jul 15 18:19:14 2017  random seeds: f593ca1c dfcb5095
Sat Jul 15 18:19:14 2017  factoring 72151720376592960532426867456888762415683646366612249076872218367619736998444361507505913631045989791784648214528770778155394761432629352570572241948311184823 (158 digits)
Sat Jul 15 18:19:15 2017  no P-1/P+1/ECM available, skipping
Sat Jul 15 18:19:15 2017  commencing number field sieve (158-digit input)
Sat Jul 15 18:19:15 2017  R0: -10000000000000000000000000000000000000
Sat Jul 15 18:19:15 2017  R1: 1
Sat Jul 15 18:19:15 2017  A0: 119
Sat Jul 15 18:19:15 2017  A1: 0
Sat Jul 15 18:19:15 2017  A2: 0
Sat Jul 15 18:19:15 2017  A3: 0
Sat Jul 15 18:19:15 2017  A4: 0
Sat Jul 15 18:19:15 2017  A5: 1000
Sat Jul 15 18:19:15 2017  skew 0.65, size 2.127e-13, alpha 0.652, combined = 3.329e-11 rroots = 1
Sat Jul 15 18:19:15 2017  
Sat Jul 15 18:19:15 2017  commencing relation filtering
Sat Jul 15 18:19:15 2017  estimated available RAM is 15929.4 MB
Sat Jul 15 18:19:15 2017  commencing duplicate removal, pass 1
Sat Jul 15 18:22:13 2017  found 3753593 hash collisions in 22946868 relations
Sat Jul 15 18:22:33 2017  added 282 free relations
Sat Jul 15 18:22:33 2017  commencing duplicate removal, pass 2
Sat Jul 15 18:22:39 2017  found 3516160 duplicates and 19430990 unique relations
Sat Jul 15 18:22:39 2017  memory use: 106.6 MB
Sat Jul 15 18:22:39 2017  reading ideals above 720000
Sat Jul 15 18:22:40 2017  commencing singleton removal, initial pass
Sat Jul 15 18:24:50 2017  memory use: 689.0 MB
Sat Jul 15 18:24:50 2017  reading all ideals from disk
Sat Jul 15 18:24:50 2017  memory use: 623.2 MB
Sat Jul 15 18:24:51 2017  keeping 21539980 ideals with weight <= 200, target excess is 115666
Sat Jul 15 18:24:52 2017  commencing in-memory singleton removal
Sat Jul 15 18:24:53 2017  begin with 19430990 relations and 21539980 unique ideals
Sat Jul 15 18:25:01 2017  reduce to 8067494 relations and 7887459 ideals in 17 passes
Sat Jul 15 18:25:01 2017  max relations containing the same ideal: 110
Sat Jul 15 18:25:03 2017  removing 342380 relations and 319449 ideals in 22931 cliques
Sat Jul 15 18:25:04 2017  commencing in-memory singleton removal
Sat Jul 15 18:25:04 2017  begin with 7725114 relations and 7887459 unique ideals
Sat Jul 15 18:25:07 2017  reduce to 7712300 relations and 7555133 ideals in 8 passes
Sat Jul 15 18:25:07 2017  max relations containing the same ideal: 107
Sat Jul 15 18:25:10 2017  removing 246125 relations and 223194 ideals in 22931 cliques
Sat Jul 15 18:25:10 2017  commencing in-memory singleton removal
Sat Jul 15 18:25:10 2017  begin with 7466175 relations and 7555133 unique ideals
Sat Jul 15 18:25:13 2017  reduce to 7459516 relations and 7325250 ideals in 8 passes
Sat Jul 15 18:25:13 2017  max relations containing the same ideal: 107
Sat Jul 15 18:25:15 2017  relations with 0 large ideals: 2784
Sat Jul 15 18:25:15 2017  relations with 1 large ideals: 734
Sat Jul 15 18:25:15 2017  relations with 2 large ideals: 14804
Sat Jul 15 18:25:15 2017  relations with 3 large ideals: 121014
Sat Jul 15 18:25:15 2017  relations with 4 large ideals: 535574
Sat Jul 15 18:25:15 2017  relations with 5 large ideals: 1369753
Sat Jul 15 18:25:15 2017  relations with 6 large ideals: 2176707
Sat Jul 15 18:25:15 2017  relations with 7+ large ideals: 3238146
Sat Jul 15 18:25:15 2017  commencing 2-way merge
Sat Jul 15 18:25:18 2017  reduce to 4388996 relation sets and 4254731 unique ideals
Sat Jul 15 18:25:18 2017  ignored 1 oversize relation sets
Sat Jul 15 18:25:18 2017  commencing full merge
Sat Jul 15 18:26:09 2017  memory use: 514.7 MB
Sat Jul 15 18:26:10 2017  found 2253494 cycles, need 2240931
Sat Jul 15 18:26:10 2017  weight of 2240931 cycles is about 157012470 (70.07/cycle)
Sat Jul 15 18:26:10 2017  distribution of cycle lengths:
Sat Jul 15 18:26:10 2017  1 relations: 332034
Sat Jul 15 18:26:10 2017  2 relations: 296538
Sat Jul 15 18:26:10 2017  3 relations: 272713
Sat Jul 15 18:26:10 2017  4 relations: 232728
Sat Jul 15 18:26:10 2017  5 relations: 200489
Sat Jul 15 18:26:10 2017  6 relations: 163181
Sat Jul 15 18:26:10 2017  7 relations: 138004
Sat Jul 15 18:26:10 2017  8 relations: 112191
Sat Jul 15 18:26:10 2017  9 relations: 92395
Sat Jul 15 18:26:10 2017  10+ relations: 400658
Sat Jul 15 18:26:10 2017  heaviest cycle: 27 relations
Sat Jul 15 18:26:11 2017  commencing cycle optimization
Sat Jul 15 18:26:14 2017  start with 12880239 relations
Sat Jul 15 18:26:27 2017  pruned 280803 relations
Sat Jul 15 18:26:27 2017  memory use: 431.4 MB
Sat Jul 15 18:26:27 2017  distribution of cycle lengths:
Sat Jul 15 18:26:27 2017  1 relations: 332034
Sat Jul 15 18:26:27 2017  2 relations: 302689
Sat Jul 15 18:26:27 2017  3 relations: 281605
Sat Jul 15 18:26:27 2017  4 relations: 237286
Sat Jul 15 18:26:27 2017  5 relations: 203402
Sat Jul 15 18:26:27 2017  6 relations: 164128
Sat Jul 15 18:26:27 2017  7 relations: 137891
Sat Jul 15 18:26:27 2017  8 relations: 111181
Sat Jul 15 18:26:27 2017  9 relations: 90159
Sat Jul 15 18:26:27 2017  10+ relations: 380556
Sat Jul 15 18:26:27 2017  heaviest cycle: 27 relations
Sat Jul 15 18:26:29 2017  RelProcTime: 434
Sat Jul 15 18:26:30 2017  elapsed time 00:07:16
Sat Jul 15 18:26:30 2017 LatSieveTime: 1370.43
Sat Jul 15 18:26:30 2017 -> Running matrix solving step ...
Sat Jul 15 18:26:30 2017 -> ./msieve -s 33373_188/33373_188.dat -l 33373_188/33373_188.log -i 33373_188/33373_188.ini -nf 33373_188/33373_188.fb -t 4 -nc2
Sat Jul 15 18:26:30 2017  
Sat Jul 15 18:26:30 2017  
Sat Jul 15 18:26:30 2017  Msieve v. 1.53 (SVN Unversioned directory)
Sat Jul 15 18:26:30 2017  random seeds: b3b9f02b 63b93e40
Sat Jul 15 18:26:30 2017  factoring 72151720376592960532426867456888762415683646366612249076872218367619736998444361507505913631045989791784648214528770778155394761432629352570572241948311184823 (158 digits)
Sat Jul 15 18:26:31 2017  no P-1/P+1/ECM available, skipping
Sat Jul 15 18:26:31 2017  commencing number field sieve (158-digit input)
Sat Jul 15 18:26:31 2017  R0: -10000000000000000000000000000000000000
Sat Jul 15 18:26:31 2017  R1: 1
Sat Jul 15 18:26:31 2017  A0: 119
Sat Jul 15 18:26:31 2017  A1: 0
Sat Jul 15 18:26:31 2017  A2: 0
Sat Jul 15 18:26:31 2017  A3: 0
Sat Jul 15 18:26:31 2017  A4: 0
Sat Jul 15 18:26:31 2017  A5: 1000
Sat Jul 15 18:26:31 2017  skew 0.65, size 2.127e-13, alpha 0.652, combined = 3.329e-11 rroots = 1
Sat Jul 15 18:26:31 2017  
Sat Jul 15 18:26:31 2017  commencing linear algebra
Sat Jul 15 18:26:31 2017  read 2240931 cycles
Sat Jul 15 18:26:34 2017  cycles contain 7295121 unique relations
Sat Jul 15 18:27:11 2017  read 7295121 relations
Sat Jul 15 18:27:16 2017  using 20 quadratic characters above 4294917295
Sat Jul 15 18:27:46 2017  building initial matrix
Sat Jul 15 18:28:32 2017  memory use: 895.6 MB
Sat Jul 15 18:28:33 2017  read 2240931 cycles
Sat Jul 15 18:28:33 2017  matrix is 2240753 x 2240931 (672.9 MB) with weight 197750771 (88.24/col)
Sat Jul 15 18:28:33 2017  sparse part has weight 151744255 (67.71/col)
Sat Jul 15 18:28:48 2017  filtering completed in 2 passes
Sat Jul 15 18:28:48 2017  matrix is 2238339 x 2238517 (672.7 MB) with weight 197670351 (88.30/col)
Sat Jul 15 18:28:48 2017  sparse part has weight 151716834 (67.78/col)
Sat Jul 15 18:28:52 2017  matrix starts at (0, 0)
Sat Jul 15 18:28:53 2017  matrix is 2238339 x 2238517 (672.7 MB) with weight 197670351 (88.30/col)
Sat Jul 15 18:28:53 2017  sparse part has weight 151716834 (67.78/col)
Sat Jul 15 18:28:53 2017  saving the first 48 matrix rows for later
Sat Jul 15 18:28:53 2017  matrix includes 64 packed rows
Sat Jul 15 18:28:53 2017  matrix is 2238291 x 2238517 (638.0 MB) with weight 156683203 (69.99/col)
Sat Jul 15 18:28:53 2017  sparse part has weight 144858508 (64.71/col)
Sat Jul 15 18:28:53 2017  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Sat Jul 15 18:28:59 2017  commencing Lanczos iteration (4 threads)
Sat Jul 15 18:28:59 2017  memory use: 514.9 MB
Sat Jul 15 18:29:06 2017  linear algebra at 0.1%, ETA 2h52m
Sat Jul 15 18:29:08 2017  checkpointing every 810000 dimensions
Sat Jul 15 21:05:21 2017  lanczos halted after 35393 iterations (dim = 2238290)
Sat Jul 15 21:05:23 2017  recovered 37 nontrivial dependencies
Sat Jul 15 21:05:23 2017  BLanczosTime: 9532
Sat Jul 15 21:05:23 2017  elapsed time 02:38:53
Sat Jul 15 21:05:23 2017 -> Running square root step ...
Sat Jul 15 21:05:23 2017 -> ./msieve -s 33373_188/33373_188.dat -l 33373_188/33373_188.log -i 33373_188/33373_188.ini -nf 33373_188/33373_188.fb -t 4 -nc3
Sat Jul 15 21:05:23 2017  
Sat Jul 15 21:05:23 2017  
Sat Jul 15 21:05:23 2017  Msieve v. 1.53 (SVN Unversioned directory)
Sat Jul 15 21:05:23 2017  random seeds: dfd3a63d fafef8c6
Sat Jul 15 21:05:23 2017  factoring 72151720376592960532426867456888762415683646366612249076872218367619736998444361507505913631045989791784648214528770778155394761432629352570572241948311184823 (158 digits)
Sat Jul 15 21:05:24 2017  no P-1/P+1/ECM available, skipping
Sat Jul 15 21:05:24 2017  commencing number field sieve (158-digit input)
Sat Jul 15 21:05:24 2017  R0: -10000000000000000000000000000000000000
Sat Jul 15 21:05:24 2017  R1: 1
Sat Jul 15 21:05:24 2017  A0: 119
Sat Jul 15 21:05:24 2017  A1: 0
Sat Jul 15 21:05:24 2017  A2: 0
Sat Jul 15 21:05:24 2017  A3: 0
Sat Jul 15 21:05:24 2017  A4: 0
Sat Jul 15 21:05:24 2017  A5: 1000
Sat Jul 15 21:05:24 2017  skew 0.65, size 2.127e-13, alpha 0.652, combined = 3.329e-11 rroots = 1
Sat Jul 15 21:05:24 2017  
Sat Jul 15 21:05:24 2017  commencing square root phase
Sat Jul 15 21:05:24 2017  reading relations for dependency 1
Sat Jul 15 21:05:24 2017  read 1118039 cycles
Sat Jul 15 21:05:25 2017  cycles contain 3644420 unique relations
Sat Jul 15 21:05:44 2017  read 3644420 relations
Sat Jul 15 21:05:54 2017  multiplying 3644420 relations
Sat Jul 15 21:07:46 2017  multiply complete, coefficients have about 117.71 million bits
Sat Jul 15 21:07:47 2017  initial square root is modulo 281111861
Sat Jul 15 21:10:09 2017  sqrtTime: 285
Sat Jul 15 21:10:09 2017  p62 factor: 20376419180807223970939897152709237140207338578010300849873107
Sat Jul 15 21:10:09 2017  p97 factor: 3540942092737936459916247209203454827603498849391180682090903588161569098995727944794633373726989
Sat Jul 15 21:10:09 2017  elapsed time 00:04:46
software ソフトウェア
Msieve 1.53 snfs
execution environment 実行環境
Core i7-2600K 3.4GHz, Ubuntu 16.04.2 LTS

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:03 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 3 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:51 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 51 秒 (日本時間)
4511e6600 / 4342Dmitry DomanovMay 26, 2016 10:46:16 UTC 2016 年 5 月 26 日 (木) 19 時 46 分 16 秒 (日本時間)

10189+1193

c135

name 名前LegionMammal978
date 日付January 20, 2017 22:33:47 UTC 2017 年 1 月 21 日 (土) 7 時 33 分 47 秒 (日本時間)
composite number 合成数
786645962546588205172045960677352986752185345820795161033418162843909992308143371177411219473582883938420822068078480574989319378212333<135>
prime factors 素因数
1791700428060815765141629602376934505452441347<46>
439049938386177048585102682045547823273094816686965725211955780547179370913238260942863439<90>
factorization results 素因数分解の結果
Fri Jan 20 12:08:00 2017  Msieve v. 1.53 (SVN Unversioned directory)
Fri Jan 20 12:08:00 2017  random seeds: 16095158 af1d4848
Fri Jan 20 12:08:00 2017  factoring 786645962546588205172045960677352986752185345820795161033418162843909992308143371177411219473582883938420822068078480574989319378212333 (135 digits)
Fri Jan 20 12:08:00 2017  no P-1/P+1/ECM available, skipping
Fri Jan 20 12:08:00 2017  commencing number field sieve (135-digit input)
Fri Jan 20 12:08:00 2017  R0: -50000000000000000000000000000000000000
Fri Jan 20 12:08:00 2017  R1: 1
Fri Jan 20 12:08:00 2017  A0: 595
Fri Jan 20 12:08:00 2017  A1: 0
Fri Jan 20 12:08:00 2017  A2: 0
Fri Jan 20 12:08:00 2017  A3: 0
Fri Jan 20 12:08:00 2017  A4: 0
Fri Jan 20 12:08:00 2017  A5: 16
Fri Jan 20 12:08:00 2017  skew 2.06, size 2.367e-13, alpha 0.559, combined = 3.471e-11 rroots = 1
Fri Jan 20 12:08:00 2017  
Fri Jan 20 12:08:00 2017  commencing square root phase
Fri Jan 20 12:08:00 2017  reading relations for dependency 1
Fri Jan 20 12:08:01 2017  read 1113811 cycles
Fri Jan 20 12:08:02 2017  cycles contain 3674006 unique relations
Fri Jan 20 12:08:19 2017  read 3674006 relations
Fri Jan 20 12:08:30 2017  multiplying 3674006 relations
Fri Jan 20 12:09:59 2017  multiply complete, coefficients have about 99.72 million bits
Fri Jan 20 12:10:00 2017  initial square root is modulo 14380831
Fri Jan 20 12:11:55 2017  sqrtTime: 235
Fri Jan 20 12:11:55 2017  p46 factor: 1791700428060815765141629602376934505452441347
Fri Jan 20 12:11:55 2017  p90 factor: 439049938386177048585102682045547823273094816686965725211955780547179370913238260942863439
Fri Jan 20 12:11:55 2017  elapsed time 00:03:55
execution environment 実行環境
64-bit Ubuntu 16.04.1 LTS, Core i7-2600K 3.4GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:03 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 3 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:51 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 51 秒 (日本時間)
4511e6823 / 4342Pierre JammesMarch 11, 2015 06:55:36 UTC 2015 年 3 月 11 日 (水) 15 時 55 分 36 秒 (日本時間)

10190+1193

c168

name 名前Jo Yeong Uk
date 日付June 27, 2018 06:35:20 UTC 2018 年 6 月 27 日 (水) 15 時 35 分 20 秒 (日本時間)
composite number 合成数
382660190098801498504731771875194248861533263185036776186131418232264347485288056722539399682070150636542581733649216607685979556347238878943226450457744363494581545131<168>
prime factors 素因数
587315569665361417552620612138759379435493<42>
651541028133874033963988918428536226668490031681227364591655555890915063900987996035224002178057387494611920806161419230354767<126>
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 382660190098801498504731771875194248861533263185036776186131418232264347485288056722539399682070150636542581733649216607685979556347238878943226450457744363494581545131 (168 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3758629792
Step 1 took 29487ms
Step 2 took 10078ms
********** Factor found in step 2: 587315569665361417552620612138759379435493
Found probable prime factor of 42 digits: 587315569665361417552620612138759379435493
Probable prime cofactor 651541028133874033963988918428536226668490031681227364591655555890915063900987996035224002178057387494611920806161419230354767 has 126 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:04 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 4 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:52 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 52 秒 (日本時間)
4511e6498 / 4342CypFebruary 10, 2015 15:07:55 UTC 2015 年 2 月 11 日 (水) 0 時 7 分 55 秒 (日本時間)

10192+1193

c184

name 名前Jo Yeong Uk
date 日付October 3, 2018 11:02:15 UTC 2018 年 10 月 3 日 (水) 20 時 2 分 15 秒 (日本時間)
composite number 合成数
6588270334414738614294502944222247341100917234148978989063780893577251392985996954229447859397509134422699880166609714363760818458715397835965337449526519787636065817795704812732138117<184>
prime factors 素因数
911346349695441147787185794295500026778379734917502099966031019346736278681189477<81>
7229161927972218107351060036067866173977138364408416464297969584347521375123506985615882343748008508321<103>
factorization results 素因数分解の結果
Number: 33373_192
N=6588270334414738614294502944222247341100917234148978989063780893577251392985996954229447859397509134422699880166609714363760818458715397835965337449526519787636065817795704812732138117
  ( 184 digits)
SNFS difficulty: 192 digits.
Divisors found:
 r1=911346349695441147787185794295500026778379734917502099966031019346736278681189477
 r2=7229161927972218107351060036067866173977138364408416464297969584347521375123506985615882343748008508321
Version: 
Total time: 137.45 hours.
Scaled time: 720.10 units (timescale=5.239).
Factorization parameters were as follows:
n: 6588270334414738614294502944222247341100917234148978989063780893577251392985996954229447859397509134422699880166609714363760818458715397835965337449526519787636065817795704812732138117
m: 100000000000000000000000000000000000000
deg: 5
c5: 100
c0: 119
skew: 1.04
# Murphy_E = 2.7e-11
type: snfs
lss: 1
rlim: 11000000
alim: 11000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11000000/11000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [5500000, 11200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 22846631
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2209280 x 2209528
Total sieving time: 125.60 hours.
Total relation processing time: 3.47 hours.
Matrix solve time: 7.36 hours.
Time per square root: 1.02 hours.
Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,11000000,11000000,28,28,55,55,2.5,2.5,100000
total time: 137.45 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49367604k/51380224k available (5540k kernel code, 1086464k absent, 926156k reserved, 6889k data, 1348k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.73 BogoMIPS (lpj=3399865)
Total of 12 processors activated (81596.76 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B1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:04 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 4 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:52 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 52 秒 (日本時間)
4511e6498 / 4342CypJune 11, 2015 21:02:27 UTC 2015 年 6 月 12 日 (金) 6 時 2 分 27 秒 (日本時間)

10193+1193

c111

name 名前Serge Batalov
date 日付December 19, 2014 17:52:50 UTC 2014 年 12 月 20 日 (土) 2 時 52 分 50 秒 (日本時間)
composite number 合成数
885341091174815197710602840106630046633266930998417720499125936663505982883551147001604942272387443746940861327<111>
prime factors 素因数
5337105985250448957992697467297<31>
165884112779759552501629579471529449029906042850945299803367460673669073647410991<81>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=4144622119
Step 1 took 1798ms
Step 2 took 1536ms
********** Factor found in step 2: 5337105985250448957992697467297
Found probable prime factor of 31 digits: 5337105985250448957992697467297
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)

10195+1193

c190

name 名前Robert Backstrom
date 日付December 31, 2014 23:21:34 UTC 2015 年 1 月 1 日 (木) 8 時 21 分 34 秒 (日本時間)
composite number 合成数
4821345058844516443197323189223329524470736846165343207448013846903009001451224862712199449402394279956222186865691790695768305441852167917805709436818683676372034270120678266822878246573229<190>
prime factors 素因数
90432100649896263881023171246467700468882136895319393908757<59>
53314531280326363686625397251578233762693652303024181243074151585204657748305772051475163382199727344330451397723195804514651453497<131>
factorization results 素因数分解の結果
Number: n
N=4821345058844516443197323189223329524470736846165343207448013846903009001451224862712199449402394279956222186865691790695768305441852167917805709436818683676372034270120678266822878246573229
  ( 190 digits)
SNFS difficulty: 195 digits.
Divisors found:

Thu Jan  1 10:15:43 2015  prp59 factor: 90432100649896263881023171246467700468882136895319393908757
Thu Jan  1 10:15:43 2015  prp131 factor: 53314531280326363686625397251578233762693652303024181243074151585204657748305772051475163382199727344330451397723195804514651453497
Thu Jan  1 10:15:43 2015  elapsed time 01:03:43 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.300).
Factorization parameters were as follows:
#
#  N = 10^195+119 3(193)73
#
n: 4821345058844516443197323189223329524470736846165343207448013846903009001451224862712199449402394279956222186865691790695768305441852167917805709436818683676372034270120678266822878246573229
m: 1000000000000000000000000000000000000000
deg: 5
c5: 1
c0: 119
skew: 2.60
# Murphy_E = 3.109e-11
type: snfs
lss: 1
rlim: 12400000
alim: 12400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12400000/12400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 17400000)
Primes: RFBsize:812601, AFBsize:812101,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 5273944 hash collisions in 40981605 relations (37152800 unique)
Msieve: matrix is 1227270 x 1227496 (346.7 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0hrs 50min 57sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 1sec.

Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12400000,12400000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.038914] smpboot: CPU0: Intel(R) Core(TM) i7-4790 CPU @ 3.60GHz (fam: 06, model: 3c, stepping: 03)
[    0.000000] Memory: 16059668K/16661464K available (7375K kernel code, 1160K rwdata, 3228K rodata, 1468K init, 1504K bss, 601796K reserved)
[    1.131637] [drm] Memory usable by graphics device = 2048M
[    0.000027] Calibrating delay loop (skipped), value calculated using timer frequency.. 7200.29 BogoMIPS (lpj=3600149)
[    0.136791] smpboot: Total of 8 processors activated (57602.38 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:24 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 24 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:46 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 46 秒 (日本時間)

10196+1193

c165

name 名前Jo Yeong Uk
date 日付March 7, 2019 10:37:47 UTC 2019 年 3 月 7 日 (木) 19 時 37 分 47 秒 (日本時間)
composite number 合成数
231591079375587171810966105234910916065034229013591658302282256283336011497388291485064488091875478326995687479593640319917400287825743385731956723487696734952039669<165>
prime factors 素因数
318614801962373739714593611499124950218137038271711148956565431439<66>
726868550830656377031085097092202608434163241104354014049349177369729512305290320095424350969792571<99>
factorization results 素因数分解の結果
Number: 33373_196
N=231591079375587171810966105234910916065034229013591658302282256283336011497388291485064488091875478326995687479593640319917400287825743385731956723487696734952039669
  ( 165 digits)
SNFS difficulty: 196 digits.
Divisors found:
 r1=318614801962373739714593611499124950218137038271711148956565431439
 r2=726868550830656377031085097092202608434163241104354014049349177369729512305290320095424350969792571
Version: 
Total time: 191.55 hours.
Scaled time: 1006.98 units (timescale=5.257).
Factorization parameters were as follows:
n: 231591079375587171810966105234910916065034229013591658302282256283336011497388291485064488091875478326995687479593640319917400287825743385731956723487696734952039669
m: 1000000000000000000000000000000000000000
deg: 5
c5: 10
c0: 119
skew: 1.64
# Murphy_E = 1.824e-11
type: snfs
lss: 1
rlim: 13000000
alim: 13000000
lpbr: 29
lpba: 29
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13000000/13000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 55/55
Sieved rational special-q in [6500000, 14100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 34790727
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2757686 x 2757933
Total sieving time: 171.22 hours.
Total relation processing time: 6.72 hours.
Matrix solve time: 13.41 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13000000,13000000,29,29,55,55,2.5,2.5,100000
total time: 191.55 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B1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e61320300Serge BatalovDecember 20, 2014 21:22:05 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 5 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:53 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 53 秒 (日本時間)
720Dmitry DomanovNovember 22, 2016 13:15:39 UTC 2016 年 11 月 22 日 (火) 22 時 15 分 39 秒 (日本時間)
4511e6400 / 4183Dmitry DomanovJanuary 17, 2017 12:24:40 UTC 2017 年 1 月 17 日 (火) 21 時 24 分 40 秒 (日本時間)

10197+1193

c151

name 名前Serge Batalov
date 日付December 21, 2014 01:56:49 UTC 2014 年 12 月 21 日 (日) 10 時 56 分 49 秒 (日本時間)
composite number 合成数
2316981512748565370024664781641685916776121990257078057998953429240269100117538722375681558933147635246022968507752416863262520536416405809647868366193<151>
prime factors 素因数
83889785043913617693589611880819987<35>
27619352124167438263184769560203905198823002803779707766976891440207339389942514379333663758740716646969675788124139<116>
factorization results 素因数分解の結果
Input number is 2316981512748565370024664781641685916776121990257078057998953429240269100117538722375681558933147635246022968507752416863262520536416405809647868366193 (151 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=332228173
Step 1 took 9108ms
Step 2 took 1803ms
********** Factor found in step 2: 83889785043913617693589611880819987
Found probable prime factor of 35 digits: 83889785043913617693589611880819987
Probable prime cofactor 27619352124167438263184769560203905198823002803779707766976891440207339389942514379333663758740716646969675788124139 has 116 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:22:05 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 5 秒 (日本時間)

10198+1193

c198

name 名前Serge Batalov
date 日付December 19, 2014 18:03:56 UTC 2014 年 12 月 20 日 (土) 3 時 3 分 56 秒 (日本時間)
composite number 合成数
333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333373<198>
prime factors 素因数
357628762086834359931303161<27>
24547293987538781133570529347775661<35>
37970182274310111356267850592512189788326230237374073309909974383522228933995170406476504608863228671924033399260610360295736278842877913<137>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=4008317917
Step 1 took 5350ms
Step 2 took 3160ms
********** Factor found in step 2: 357628762086834359931303161
Found probable prime factor of 27 digits: 357628762086834359931303161
Composite cofactor 932065227047924198916646645528760135069554149671089228918873993862401195431037026833140093044049608065102265586349667255940860535348821301129024260676603578088158335875493 has 171 digits

Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3412367470
Step 1 took 5359ms
Step 2 took 895ms
********** Factor found in step 2: 24547293987538781133570529347775661
Found probable prime factor of 35 digits: 24547293987538781133570529347775661
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:26 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 26 秒 (日本時間)

10201+1193

c191

name 名前Bob Backstrom
date 日付May 18, 2021 13:00:08 UTC 2021 年 5 月 18 日 (火) 22 時 0 分 8 秒 (日本時間)
composite number 合成数
55676172815355313149342034375778488432641864658418249570088316804046111480463964965916131852666784488249521484688221425383760482849216892784805623415897390142157488223504955626543748589396489<191>
prime factors 素因数
64721805883270862515873290994714408796575920503506285581723695671716283<71>
860238246685671622263104098738404247712077749080699437635394823972779175177680491354144386098179119846230504383786915083<120>
factorization results 素因数分解の結果
Number: n
N=55676172815355313149342034375778488432641864658418249570088316804046111480463964965916131852666784488249521484688221425383760482849216892784805623415897390142157488223504955626543748589396489
  ( 191 digits)
SNFS difficulty: 201 digits.
Divisors found:

Tue May 18 22:52:18 2021  p71 factor: 64721805883270862515873290994714408796575920503506285581723695671716283
Tue May 18 22:52:18 2021  p120 factor: 860238246685671622263104098738404247712077749080699437635394823972779175177680491354144386098179119846230504383786915083
Tue May 18 22:52:18 2021  elapsed time 01:42:13 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.353).
Factorization parameters were as follows:
#
# N = 10^201+119 = 3(199)73
#
n: 55676172815355313149342034375778488432641864658418249570088316804046111480463964965916131852666784488249521484688221425383760482849216892784805623415897390142157488223504955626543748589396489
m: 10000000000000000000000000000000000000000
deg: 5
c5: 10
c0: 119
skew: 1.64
# Murphy_E = 1.128e-11
type: snfs
lss: 1
rlim: 15700000
alim: 15700000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 15700000/15700000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 27850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8213217 hash collisions in 57612375 relations (51557357 unique)
Msieve: matrix is 2056534 x 2056759 (714.8 MB)

Sieving start time : 2021/05/18 11:13:55
Sieving end time  : 2021/05/18 21:09:10

Total sieving time: 9hrs 55min 15secs.

Total relation processing time: 1hrs 22min 44sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 47sec.

Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,15700000,15700000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118236] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241088K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486148K reserved, 0K cma-reserved)
[    0.153532] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.24 BogoMIPS (lpj=12798480)
[    0.152048] smpboot: Total of 16 processors activated (102387.84 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:06 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 6 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:53 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 53 秒 (日本時間)
4511e6498 / 4342CypJuly 5, 2015 17:25:03 UTC 2015 年 7 月 6 日 (月) 2 時 25 分 3 秒 (日本時間)

10202+1193

c166

name 名前Bob Backstrom
date 日付February 2, 2022 10:13:38 UTC 2022 年 2 月 2 日 (水) 19 時 13 分 38 秒 (日本時間)
composite number 合成数
6210545404543611557281081374478249237469150993810486197750221788558847705593752300798538401366426548855011850457217919569846307960250273627447924116279343783521504103<166>
prime factors 素因数
340412477824341774979781922668490175166410983408112231795786119998162034743<75>
18244176724180925170451241345614711216256075089200720247863587814399510790431938240282621521<92>
factorization results 素因数分解の結果
Number: n
N=6210545404543611557281081374478249237469150993810486197750221788558847705593752300798538401366426548855011850457217919569846307960250273627447924116279343783521504103  ( 166 digits)
SNFS difficulty: 202 digits.
Divisors found:

Wed Feb  2 21:05:06 2022  p75 factor: 340412477824341774979781922668490175166410983408112231795786119998162034743
Wed Feb  2 21:05:06 2022  p92 factor: 18244176724180925170451241345614711216256075089200720247863587814399510790431938240282621521
Wed Feb  2 21:05:06 2022  elapsed time 01:36:25 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.337).
Factorization parameters were as follows:
#
# N = 10^202+119 = 3(200)73
#
n: 6210545404543611557281081374478249237469150993810486197750221788558847705593752300798538401366426548855011850457217919569846307960250273627447924116279343783521504103
m: 10000000000000000000000000000000000000000
deg: 5
c5: 100
c0: 119
skew: 1.04
# Murphy_E = 1.036e-11
type: snfs
lss: 1
rlim: 16300000
alim: 16300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 16300000/16300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 35350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5404081 hash collisions in 33608755 relations (29748694 unique)
Msieve: matrix is 2048010 x 2048235 (711.1 MB)

Sieving start time : 2022/02/02 07:13:44
Sieving end time  : 2022/02/02 19:27:39

Total sieving time: 12hrs 13min 55secs.

Total relation processing time: 1hrs 19min 28sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 45sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16300000,16300000,28,28,55,55,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116821] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.152622] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.24 BogoMIPS (lpj=12798480)
[    0.150214] smpboot: Total of 16 processors activated (102387.84 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:06 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 6 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:53 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 53 秒 (日本時間)
4511e64498498CypJune 25, 2015 04:46:29 UTC 2015 年 6 月 25 日 (木) 13 時 46 分 29 秒 (日本時間)
4000yoyo@HomeJuly 15, 2021 23:44:06 UTC 2021 年 7 月 16 日 (金) 8 時 44 分 6 秒 (日本時間)

10203+1193

c132

name 名前Erik Branger
date 日付March 8, 2015 09:09:40 UTC 2015 年 3 月 8 日 (日) 18 時 9 分 40 秒 (日本時間)
composite number 合成数
517693859926521494592071356336378325560043680426263487488965889508412232360330465566092369128109677612902246180347240061035525506887<132>
prime factors 素因数
13674474935689744555825929461682292221308130854059<50>
37858408630766842920595586721648389050325200127336820126444058786494709421779316693<83>
factorization results 素因数分解の結果
Number: 33373_203
N = 517693859926521494592071356336378325560043680426263487488965889508412232360330465566092369128109677612902246180347240061035525506887 (132 digits)
Divisors found:
r1=13674474935689744555825929461682292221308130854059 (pp50)
r2=37858408630766842920595586721648389050325200127336820126444058786494709421779316693 (pp83)
Version: Msieve v. 1.52 (SVN 958)
Total time: 63.21 hours.
Factorization parameters were as follows:
# Murphy_E = 6.144e-11, selected by Erik Branger
# expecting poly E from 6.54e-011 to > 7.52e-011
n: 517693859926521494592071356336378325560043680426263487488965889508412232360330465566092369128109677612902246180347240061035525506887
Y0: -36241696010366552187595667
Y1: 2760756767131
c0: -473928306551956579706298683901540
c1: 2499782689489106420778127856
c2: -5553076212937819127295
c3: -4702727105368872
c4: 27793189576
c5: 8280
skew: 722945.81
type: gnfs
# selected mechanically
rlim: 10900000
alim: 10900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 10900000/10900000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 19539189
Relations: 3001162 relations
Pruned matrix : 1723823 x 1724059
Polynomial selection time: 0.00 hours.
Total sieving time: 61.43 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.21 hours.
time per square root: 0.48 hours.
Prototype def-par.txt line would be: gnfs,131,5,65,2000,1e-05,0.28,250,20,50000,3600,10900000,10900000,28,28,54,54,2.6,2.6,100000
total time: 63.21 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B1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:01:53 UTC 2014 年 12 月 20 日 (土) 3 時 1 分 53 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:13 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 13 秒 (日本時間)

10204+1193

c140

name 名前Erik Branger
date 日付November 26, 2015 16:28:59 UTC 2015 年 11 月 27 日 (金) 1 時 28 分 59 秒 (日本時間)
composite number 合成数
11470419095991231685670061125575447584844743087167569216182786853604328406435012588635931645008722478800199465448145301004136411560869313973<140>
prime factors 素因数
75461010301229035663261060505363012008298157509429<50>
152004578923645985656700380315810289086582764273046390079734324412935776348870368904951937<90>
factorization results 素因数分解の結果
Number: 33373_204
N = 11470419095991231685670061125575447584844743087167569216182786853604328406435012588635931645008722478800199465448145301004136411560869313973 (140 digits)
Divisors found:
r1=75461010301229035663261060505363012008298157509429 (pp50)
r2=152004578923645985656700380315810289086582764273046390079734324412935776348870368904951937 (pp90)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 183.41 hours.
Factorization parameters were as follows:
# Murphy_E = 2.366e-11, selected by Erik Branger
# expecting poly E from 2.34e-011 to > 2.69e-011
n: 11470419095991231685670061125575447584844743087167569216182786853604328406435012588635931645008722478800199465448145301004136411560869313973
Y0: -1323932723054383075999004642
Y1: 538651540038389
c0: -4764252437032041506083883953411965
c1: 61009523716720972225564720429
c2: -33516259693964387697295
c3: -23035745709338033
c4: 9494812236
c5: 2820
skew: 2014674.39
type: gnfs
# selected mechanically
rlim: 20000000
alim: 20000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 22074008
Relations: 3985796 relations
Pruned matrix : 2417501 x 2417731
Polynomial selection time: 0.00 hours.
Total sieving time: 180.68 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 2.22 hours.
time per square root: 0.38 hours.
Prototype def-par.txt line would be: gnfs,139,5,65,2000,1e-05,0.28,250,20,50000,3600,20000000,20000000,28,28,55,55,2.6,2.6,100000
total time: 183.41 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-8-6.2.9200
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:01:56 UTC 2014 年 12 月 20 日 (土) 3 時 1 分 56 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:15 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 15 秒 (日本時間)

10206+1193

c171

composite cofactor 合成数の残り
493506202857899101398746839033006448312654371526386066904890150161856533590647224027923846922899039108326521488746541604654567251221403744489007809133996694255349987065343<171>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e61320300Serge BatalovDecember 20, 2014 21:22:06 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 6 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:54 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 54 秒 (日本時間)
720Dmitry DomanovNovember 22, 2016 13:16:09 UTC 2016 年 11 月 22 日 (火) 22 時 16 分 9 秒 (日本時間)
4511e6400 / 4183Dmitry DomanovJanuary 17, 2017 12:25:00 UTC 2017 年 1 月 17 日 (火) 21 時 25 分 0 秒 (日本時間)

10207+1193

c201

name 名前Bob Backstrom
date 日付September 23, 2020 06:55:03 UTC 2020 年 9 月 23 日 (水) 15 時 55 分 3 秒 (日本時間)
composite number 合成数
413368502725545222720882426010138275897846722132452362380324651354670588707020526639739842399124650858628385436366259374680931186958719781212318877423424518291349561354013332787686909735613639341768531<201>
prime factors 素因数
14214697684049144235597502270276988359025680310344054496563<59>
29080358366636374166735507741524096865872240525296587650943909106940890343977176941778399991282641165544325418517410080648457929920014577603937<143>
factorization results 素因数分解の結果
Number: n
N=413368502725545222720882426010138275897846722132452362380324651354670588707020526639739842399124650858628385436366259374680931186958719781212318877423424518291349561354013332787686909735613639341768531  ( 201 digits)
SNFS difficulty: 207 digits.
Divisors found:

Wed Sep 23 11:23:26 2020  p59 factor: 14214697684049144235597502270276988359025680310344054496563
Wed Sep 23 11:23:26 2020  p143 factor: 29080358366636374166735507741524096865872240525296587650943909106940890343977176941778399991282641165544325418517410080648457929920014577603937
Wed Sep 23 11:23:26 2020  elapsed time 02:46:28 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.124).
Factorization parameters were as follows:
#
# N = 10^207+119 = 3(205)73
#
n: 413368502725545222720882426010138275897846722132452362380324651354670588707020526639739842399124650858628385436366259374680931186958719781212318877423424518291349561354013332787686909735613639341768531
m: 100000000000000000000000000000000000000000
deg: 5
c5: 100
c0: 119
skew: 1.04
# Murphy_E = 6.376e-12
type: snfs
lss: 1
rlim: 19700000
alim: 19700000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19700000/19700000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8856204 hash collisions in 56388171 relations (49347762 unique)
Msieve: matrix is 2543681 x 2543907 (889.9 MB)

Sieving start time: 2020/09/22 20:30:10
Sieving end time  : 2020/09/23 08:32:34

Total sieving time: 12hrs 2min 24secs.

Total relation processing time: 2hrs 22min 16sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 39sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,19700000,19700000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.142177] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283124K/16703460K available (12300K kernel code, 2481K rwdata, 4272K rodata, 2436K init, 2724K bss, 420336K reserved, 0K cma-reserved)
[    0.176722] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.55 BogoMIPS (lpj=11977104)
[    0.174223] smpboot: Total of 16 processors activated (95816.83 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2170300Serge BatalovDecember 20, 2014 21:22:07 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 7 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:54 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 54 秒 (日本時間)
4511e643 / 4342CypJuly 11, 2015 07:24:28 UTC 2015 年 7 月 11 日 (土) 16 時 24 分 28 秒 (日本時間)

10208+1193

c190

name 名前Serge Batalov
date 日付December 21, 2014 01:56:53 UTC 2014 年 12 月 21 日 (日) 10 時 56 分 53 秒 (日本時間)
composite number 合成数
2694701812528852993431180611222796007201286940235093071827693698273022215009366130286210114755511782490087837012206862063437301484238300011268223465168305781542651172206561904912619132011557<190>
prime factors 素因数
383140169455724811385894040903807<33>
composite cofactor 合成数の残り
7033200972784581108930504485330649611544484180945386644064714328667569492669050947416133531115248208670212464110030421591892525454957971935075044430522108251<157>
factorization results 素因数分解の結果
Input number is 2694701812528852993431180611222796007201286940235093071827693698273022215009366130286210114755511782490087837012206862063437301484238300011268223465168305781542651172206561904912619132011557 (190 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3612517390
Step 1 took 13614ms
Step 2 took 9425ms
********** Factor found in step 2: 383140169455724811385894040903807
Found probable prime factor of 33 digits: 383140169455724811385894040903807
Composite cofactor 7033200972784581108930504485330649611544484180945386644064714328667569492669050947416133531115248208670212464110030421591892525454957971935075044430522108251 has 157 digits

c157

name 名前Bob Backstrom
date 日付October 4, 2021 09:11:12 UTC 2021 年 10 月 4 日 (月) 18 時 11 分 12 秒 (日本時間)
composite number 合成数
7033200972784581108930504485330649611544484180945386644064714328667569492669050947416133531115248208670212464110030421591892525454957971935075044430522108251<157>
prime factors 素因数
12316142381108409534152299068390453022117<41>
571055510333554436932921037334026269645628180530108394407496773864430841965579381855057831175800982534552958624680703<117>
factorization results 素因数分解の結果
#
# N = 10^208+119 = 3(206)73
#
n: 7033200972784581108930504485330649611544484180945386644064714328667569492669050947416133531115248208670212464110030421591892525454957971935075044430522108251
m: 100000000000000000000000000000000000000000
deg: 5
c5: 1000
c0: 119
skew: 0.65
# Murphy_E = 4.893e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
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 7033200972784581108930504485330649611544484180945386644064714328667569492669050947416133531115248208670212464110030421591892525454957971935075044430522108251 (157 digits)
Using B1=43300000, B2=240490660426, polynomial Dickson(12), sigma=1:41437310
Step 1 took 104117ms
********** Factor found in step 1: 12316142381108409534152299068390453022117
Found prime factor of 41 digits: 12316142381108409534152299068390453022117
Prime cofactor 571055510333554436932921037334026269645628180530108394407496773864430841965579381855057831175800982534552958624680703 has 117 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 20, 2014 21:22:07 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 7 秒 (日本時間)
4511e6585 / 4409CypJuly 5, 2015 17:49:46 UTC 2015 年 7 月 6 日 (月) 2 時 49 分 46 秒 (日本時間)

10209+1193

c203

name 名前Serge Batalov
date 日付December 21, 2014 01:56:56 UTC 2014 年 12 月 21 日 (日) 10 時 56 分 56 秒 (日本時間)
composite number 合成数
94084086711657676932181367775635796736975704666288448638085802805399297568208610763784024333908187103141561739388961490442468051396254888844355754512037588474323041475087945100053722013512356533528275561<203>
prime factors 素因数
296832096474408271880682882162530507<36>
316960624639759087044992145978390281516519979988753570810013387994653493033506904624356906406881935719677925886656797596041317412512425973547850176473192344022264317723<168>
factorization results 素因数分解の結果
Input number is 94084086711657676932181367775635796736975704666288448638085802805399297568208610763784024333908187103141561739388961490442468051396254888844355754512037588474323041475087945100053722013512356533528275561 (203 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2979735078
Step 1 took 18970ms
Step 2 took 13168ms
********** Factor found in step 2: 296832096474408271880682882162530507
Found probable prime factor of 36 digits: 296832096474408271880682882162530507
Probable prime cofactor 316960624639759087044992145978390281516519979988753570810013387994653493033506904624356906406881935719677925886656797596041317412512425973547850176473192344022264317723 has 168 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:22:08 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 8 秒 (日本時間)

10210+1193

c204

name 名前Bob Backstrom
date 日付November 5, 2019 07:23:43 UTC 2019 年 11 月 5 日 (火) 16 時 23 分 43 秒 (日本時間)
composite number 合成数
571276122314787996574628370600531172538528289879215089458984373884226323603929694190178963670837553635686933829658028400421144757370461711074816034806711580395403055298957363949163280427451645760816970557<204>
prime factors 素因数
3364698048727697950902776021948417592657847334969391370353979879<64>
169785256816969393948843922733033596068076678292051360378874846123548588966516503906268328381616104506351441837806124183203020290974928391483<141>
factorization results 素因数分解の結果
Number: n
N=571276122314787996574628370600531172538528289879215089458984373884226323603929694190178963670837553635686933829658028400421144757370461711074816034806711580395403055298957363949163280427451645760816970557
  ( 204 digits)
SNFS difficulty: 210 digits.
Divisors found:

Tue Nov  5 18:19:16 2019  p64 factor: 3364698048727697950902776021948417592657847334969391370353979879
Tue Nov  5 18:19:16 2019  p141 factor: 169785256816969393948843922733033596068076678292051360378874846123548588966516503906268328381616104506351441837806124183203020290974928391483
Tue Nov  5 18:19:16 2019  elapsed time 02:39:18 (Msieve 1.54 - dependency 4)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.128).
Factorization parameters were as follows:
#
# N = 10^210+119 = 3(208)73
#
n: 571276122314787996574628370600531172538528289879215089458984373884226323603929694190178963670837553635686933829658028400421144757370461711074816034806711580395403055298957363949163280427451645760816970557
m: 1000000000000000000000000000000000000000000
deg: 5
c5: 1
c0: 119
skew: 2.60
# Murphy_E = 7.273e-12
type: snfs
lss: 1
rlim: 22000000
alim: 22000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 22000000/22000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 43800000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 10247821 hash collisions in 69422832 relations (62031405 unique)
Msieve: matrix is 2413377 x 2413606 (838.0 MB)

Sieving start time: 2019/11/04 22:01:04
Sieving end time  : 2019/11/05 15:38:44

Total sieving time: 17hrs 37min 40secs.

Total relation processing time: 2hrs 9min 9sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 10min 34sec.

Prototype def-par.txt line would be:
snfs,210,5,0,0,0,0,0,0,0,0,22000000,22000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149912] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16284044K/16703460K available (12300K kernel code, 2481K rwdata, 4256K rodata, 2436K init, 2388K bss, 419416K reserved, 0K cma-reserved)
[    0.184564] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.54 BogoMIPS (lpj=11977096)
[    0.182216] smpboot: Total of 16 processors activated (95816.76 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:33 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 33 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:52 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 52 秒 (日本時間)

10211+1193

c188

composite cofactor 合成数の残り
11371628547317548643333788027064738867318443155680293461234831163603906760250850836416105858034435634335143744853007997366642744928675287812084625999434004875513070666287849738080204983597<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e61320300Serge BatalovDecember 20, 2014 21:22:08 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 8 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:54 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 54 秒 (日本時間)
720Dmitry DomanovNovember 23, 2016 10:14:02 UTC 2016 年 11 月 23 日 (水) 19 時 14 分 2 秒 (日本時間)
4511e6400 / 4183Dmitry DomanovJanuary 17, 2017 12:25:25 UTC 2017 年 1 月 17 日 (火) 21 時 25 分 25 秒 (日本時間)

10212+1193

c212

name 名前Serge Batalov
date 日付December 20, 2014 01:32:33 UTC 2014 年 12 月 20 日 (土) 10 時 32 分 33 秒 (日本時間)
composite number 合成数
33333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333373<212>
prime factors 素因数
13515620807312066087345175590320730699663<41>
2466282075278385718609608199791402762871424961827902283668027058767943656319032844592200942520777254924854401774401113581924284698244024347203013294495995740666255108357171<172>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4253028639
Step 1 took 18622ms
Step 2 took 111ms
********** Factor found in step 2: 13515620807312066087345175590320730699663
Found probable prime factor of 41 digits: 13515620807312066087345175590320730699663
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:34 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 34 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:53 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 53 秒 (日本時間)

10213+1193

c190

name 名前Serge Batalov
date 日付December 21, 2014 01:57:00 UTC 2014 年 12 月 21 日 (日) 10 時 57 分 0 秒 (日本時間)
composite number 合成数
5158890718974566114733315554895144422708445486517608826696939998919190943912978525966640801263892016923149211808342096338994645103917235606305512034268665133178948943040513181996712497530337<190>
prime factors 素因数
1134694227604886506847299132849903291<37>
4546503008007678699372472183271910002258783054385931434594925085274478561904340446568386262863457985002987350436455293425006033024264763460553701145420307<154>
factorization results 素因数分解の結果
Input number is 5158890718974566114733315554895144422708445486517608826696939998919190943912978525966640801263892016923149211808342096338994645103917235606305512034268665133178948943040513181996712497530337 (190 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2220936347
Step 1 took 13609ms
Step 2 took 9469ms
********** Factor found in step 2: 1134694227604886506847299132849903291
Found probable prime factor of 37 digits: 1134694227604886506847299132849903291
Probable prime cofactor 4546503008007678699372472183271910002258783054385931434594925085274478561904340446568386262863457985002987350436455293425006033024264763460553701145420307 has 154 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:22:09 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 9 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:55 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 55 秒 (日本時間)

10214+1193

c200

name 名前Bob Backstrom
date 日付October 23, 2020 20:15:32 UTC 2020 年 10 月 24 日 (土) 5 時 15 分 32 秒 (日本時間)
composite number 合成数
11925337331386476708621470602656843570275132008272956960425052539082213284093691607078233105365888917037381808522103903480654270978121631136812310695618569194358310234699762580294174083893606914793529<200>
prime factors 素因数
134379693110281850712073637807496786642182143079713<51>
88743597007619808982408659157242424034442667365630688660837351774083393868459344453322282669795468871746439032664723586858452415465883438960100651033<149>
factorization results 素因数分解の結果
Number: n
N=11925337331386476708621470602656843570275132008272956960425052539082213284093691607078233105365888917037381808522103903480654270978121631136812310695618569194358310234699762580294174083893606914793529  ( 200 digits)
SNFS difficulty: 214 digits.
Divisors found:

Sat Oct 24 07:11:06 2020  p51 factor: 134379693110281850712073637807496786642182143079713
Sat Oct 24 07:11:06 2020  p149 factor: 88743597007619808982408659157242424034442667365630688660837351774083393868459344453322282669795468871746439032664723586858452415465883438960100651033
Sat Oct 24 07:11:06 2020  elapsed time 05:34:10 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 10^214+119 = 3(212)73
#
n: 11925337331386476708621470602656843570275132008272956960425052539082213284093691607078233105365888917037381808522103903480654270978121631136812310695618569194358310234699762580294174083893606914793529
m: 5000000000000000000000000000000000000000000
deg: 5
c5: 16
c0: 595
skew: 2.06
# Murphy_E = 3.099e-12
type: snfs
lss: 1
rlim: 27000000
alim: 27000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 27000000/27000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 55100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10072708 hash collisions in 59054666 relations (50625172 unique)
Msieve: matrix is 3670162 x 3670389 (1287.8 MB)

Sieving start time: 2020/10/23 05:46:17
Sieving end time  : 2020/10/24 01:36:01

Total sieving time: 19hrs 49min 44secs.

Total relation processing time: 5hrs 3min 29sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 14min 39sec.

Prototype def-par.txt line would be:
snfs,214,5,0,0,0,0,0,0,0,0,27000000,27000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117041] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16242464K/16727236K available (14339K kernel code, 2398K rwdata, 4956K rodata, 2716K init, 4988K bss, 484772K reserved, 0K cma-reserved)
[    0.153518] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.08 BogoMIPS (lpj=12798176)
[    0.152035] smpboot: Total of 16 processors activated (102385.40 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:09 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 9 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:55 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 55 秒 (日本時間)
4511e6498 / 4342CypFebruary 1, 2015 18:33:32 UTC 2015 年 2 月 2 日 (月) 3 時 33 分 32 秒 (日本時間)

10215+1193

c200

name 名前Serge Batalov
date 日付December 21, 2014 01:57:03 UTC 2014 年 12 月 21 日 (日) 10 時 57 分 3 秒 (日本時間)
composite number 合成数
30141817106680067103728517657392451587813434256227409895852992068735416601407975088852762959351795445616284835636118483702762553547864156531953865252327810226334656009048017607649604937949068067846603<200>
prime factors 素因数
393322696397454629284653382519<30>
76633810819352271077315612804100126370713342958185190060018378466933930317756270522916469296249375989518316838167954641816178144481969517706707886389107782907885409378637<170>
factorization results 素因数分解の結果
Input number is 30141817106680067103728517657392451587813434256227409895852992068735416601407975088852762959351795445616284835636118483702762553547864156531953865252327810226334656009048017607649604937949068067846603 (200 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4293455720
Step 1 took 15980ms
Step 2 took 10226ms
********** Factor found in step 2: 393322696397454629284653382519
Found probable prime factor of 30 digits: 393322696397454629284653382519
Probable prime cofactor 76633810819352271077315612804100126370713342958185190060018378466933930317756270522916469296249375989518316838167954641816178144481969517706707886389107782907885409378637 has 170 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:22:09 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 9 秒 (日本時間)

10217+1193

c198

name 名前Serge Batalov
date 日付December 21, 2014 01:57:07 UTC 2014 年 12 月 21 日 (日) 10 時 57 分 7 秒 (日本時間)
composite number 合成数
870753329494267202235446330692339899211414548205869330497029937442667296185782957417972089578464379576475047216144102584633560778259592209565797771494133845114845640700062995409442416793349829241921<198>
prime factors 素因数
16757156924925546514929714280211<32>
51963070668572618498747818102176926552692570996187115898354563730499808244566945523555338014100150726892952395233404967195582187646900338424604380073691689523789403611<167>
factorization results 素因数分解の結果
Input number is 870753329494267202235446330692339899211414548205869330497029937442667296185782957417972089578464379576475047216144102584633560778259592209565797771494133845114845640700062995409442416793349829241921 (198 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=700406737
Step 1 took 16127ms
Step 2 took 10254ms
********** Factor found in step 2: 16757156924925546514929714280211
Found probable prime factor of 32 digits: 16757156924925546514929714280211
Probable prime cofactor 51963070668572618498747818102176926552692570996187115898354563730499808244566945523555338014100150726892952395233404967195582187646900338424604380073691689523789403611 has 167 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:22:10 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 10 秒 (日本時間)

10218+1193

c211

composite cofactor 合成数の残り
1801813586636611695316133328944115436286547243543232544025468130539304248062018856087292967339588185054255399904687664894096514541167179165514181651314223911050084886140786830731883886015326550694376613670464187<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:10 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 10 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:55 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 55 秒 (日本時間)
4511e64978498CypJune 24, 2015 19:07:14 UTC 2015 年 6 月 25 日 (木) 4 時 7 分 14 秒 (日本時間)
4480Ignacio SantosSeptember 25, 2022 13:50:09 UTC 2022 年 9 月 25 日 (日) 22 時 50 分 9 秒 (日本時間)

10219+1193

c177

name 名前Serge Batalov
date 日付December 21, 2014 01:57:10 UTC 2014 年 12 月 21 日 (日) 10 時 57 分 10 秒 (日本時間)
composite number 合成数
333932530827883906674670655423398452644389554695433862996106553537006270034102959622394864049165936347798958446546280287900524384946304884117953681275201900528639037409095144079<177>
prime factors 素因数
450360579677031207050932694461817<33>
741478153055398877861549545300378017312484686063264302312726365124559896212859592188751432853268376042572257777703975411878486873537796491798087<144>
factorization results 素因数分解の結果
Input number is 333932530827883906674670655423398452644389554695433862996106553537006270034102959622394864049165936347798958446546280287900524384946304884117953681275201900528639037409095144079 (177 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=691908993
Step 1 took 13616ms
Step 2 took 9283ms
********** Factor found in step 2: 450360579677031207050932694461817
Found probable prime factor of 33 digits: 450360579677031207050932694461817
Probable prime cofactor 741478153055398877861549545300378017312484686063264302312726365124559896212859592188751432853268376042572257777703975411878486873537796491798087 has 144 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:22:11 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 11 秒 (日本時間)

10220+1193

c214

name 名前Erik Branger
date 日付February 1, 2018 09:06:03 UTC 2018 年 2 月 1 日 (木) 18 時 6 分 3 秒 (日本時間)
composite number 合成数
2696058012697894028204541294037748586658988293446503064474340133061247158691861868006931025939043745967708234758712244066582927104792270078150633614073854195565038490272218281484093662133784329917697437046371389001<214>
prime factors 素因数
86303094412968125617488957202789048154265679661137230743145330629911035021169<77>
31239413036536235666309054653428748765802917382827335356188948674435450165455595720644338530401595021725986368969869993723730943093667929<137>
factorization results 素因数分解の結果
Number: 33373_220
N = 2696058012697894028204541294037748586658988293446503064474340133061247158691861868006931025939043745967708234758712244066582927104792270078150633614073854195565038490272218281484093662133784329917697437046371389001 (214 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=86303094412968125617488957202789048154265679661137230743145330629911035021169 (pp77)
r2=31239413036536235666309054653428748765802917382827335356188948674435450165455595720644338530401595021725986368969869993723730943093667929 (pp137)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 70.29 hours.
Factorization parameters were as follows:
n: 2696058012697894028204541294037748586658988293446503064474340133061247158691861868006931025939043745967708234758712244066582927104792270078150633614073854195565038490272218281484093662133784329917697437046371389001
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 1
c0: 119
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 67108864
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: 536870912/67108864
Large primes per side: 3
Large prime bits: 29/27
Total raw relations: 31338103
Relations: 7611270 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 40.00 hours.
Total relation processing time: 0.39 hours.
Pruned matrix : 6683883 x 6684130
Matrix solve time: 29.62 hours.
time per square root: 0.29 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,67108864,29,27,58,54,2.8,2.8,100000
total time: 70.29 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B1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:22:11 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 11 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:56 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 56 秒 (日本時間)

10221+1193

c218

name 名前Serge Batalov
date 日付December 19, 2014 18:07:32 UTC 2014 年 12 月 20 日 (土) 3 時 7 分 32 秒 (日本時間)
composite number 合成数
66800267201068804275217100868403473613894455577822311289245156980627922511690046760187040748162992651970607882431529726118904475617902471609886439545758183032732130928523714094856379425517702070808283233132932531730127<218>
prime factors 素因数
839589656766130124890431608929<30>
79562994449413747185364358337419830442255634752076545247110554721698260623756486262313701668258815093735266428753679523635064391712194762890486855387737904984111129202045840565657442524463<188>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3293927001
Step 1 took 6075ms
Step 2 took 3467ms
********** Factor found in step 2: 839589656766130124890431608929
Found probable prime factor of 30 digits: 839589656766130124890431608929
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:40 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 40 秒 (日本時間)

10223+1193

c213

composite cofactor 合成数の残り
815994420683191470700031257718917072330602161900367245575858647022288382418815530058331843415240566049150918176510098795542842929325435667032390714848675189643037686198116300657930271198088434040466729867768292623<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:12 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 12 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:56 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 56 秒 (日本時間)
4511e6498 / 4342CypJune 7, 2015 20:53:47 UTC 2015 年 6 月 8 日 (月) 5 時 53 分 47 秒 (日本時間)

10224+1193

c214

composite cofactor 合成数の残り
5922552956734836741905263847724404191108885031138864835481437338575337101111446916112807770422313869697943314603290997190082831692668512803298018293697299447338327106915801706724200355018351795234157253948958677097<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:12 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 12 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:57 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 57 秒 (日本時間)
4511e6498 / 4342CypMay 26, 2015 03:43:11 UTC 2015 年 5 月 26 日 (火) 12 時 43 分 11 秒 (日本時間)

10229+1193

c197

composite cofactor 合成数の残り
21351392800870979744549250177969672611678379741382932421950744107273427108800596432339757896225169933423289617169441302999174503093706100206786333398825182121200899171629645240387854512619782798653<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:13 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 13 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:57 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 57 秒 (日本時間)
4511e6498 / 4342CypJanuary 27, 2015 12:05:34 UTC 2015 年 1 月 27 日 (火) 21 時 5 分 34 秒 (日本時間)

10230+1193

c218

composite cofactor 合成数の残り
14971338692610195791688934713149563726040217243043628754205369725654637357824058472642617649944054220038574991438373280431893397952496381369142971797858883665696249987753473582130109459397903009731295770639728347105789<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:13 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 13 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:57 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 57 秒 (日本時間)
4511e6498 / 4342242CypJanuary 7, 2015 17:44:30 UTC 2015 年 1 月 8 日 (木) 2 時 44 分 30 秒 (日本時間)
256CypMay 27, 2015 18:12:04 UTC 2015 年 5 月 28 日 (木) 3 時 12 分 4 秒 (日本時間)

10231+1193

c184

name 名前Serge Batalov
date 日付December 21, 2014 01:57:14 UTC 2014 年 12 月 21 日 (日) 10 時 57 分 14 秒 (日本時間)
composite number 合成数
1742616376178878891620004242861342240985465099432768249586962667333331313439022416772175255730604368681822112782356346865243978540146651272993875874649942008213611294353308427980748363<184>
prime factors 素因数
148255486609858053081237993268631<33>
11754144254806998243204229971198916743224944685417302138275289423984272786641123199209625158302270095165734283821324483355315807446341025902349788779373<152>
factorization results 素因数分解の結果
Input number is 1742616376178878891620004242861342240985465099432768249586962667333331313439022416772175255730604368681822112782356346865243978540146651272993875874649942008213611294353308427980748363 (184 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4155941749
Step 1 took 13679ms
Step 2 took 9439ms
********** Factor found in step 2: 148255486609858053081237993268631
Found probable prime factor of 33 digits: 148255486609858053081237993268631
Probable prime cofactor 11754144254806998243204229971198916743224944685417302138275289423984272786641123199209625158302270095165734283821324483355315807446341025902349788779373 has 152 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:22:13 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 13 秒 (日本時間)

10232+1193

c194

name 名前Serge Batalov
date 日付December 21, 2014 01:57:18 UTC 2014 年 12 月 21 日 (日) 10 時 57 分 18 秒 (日本時間)
composite number 合成数
33710378348886105269975668074273455105591977763109922814663852674196301933868386913522384560572496048088338218467304033248552377543831576571321179060637562995308297921472421913920618836255632211<194>
prime factors 素因数
1014943797103657199732857957477<31>
composite cofactor 合成数の残り
33214034555494929987854966957466703168406988821618519476655096119628749744547387059794408408871903828271152342201981499113917742844841655216160071884005892043469143<164>
factorization results 素因数分解の結果
Input number is 33710378348886105269975668074273455105591977763109922814663852674196301933868386913522384560572496048088338218467304033248552377543831576571321179060637562995308297921472421913920618836255632211 (194 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2050087708
Step 1 took 16406ms
Step 2 took 10851ms
********** Factor found in step 2: 1014943797103657199732857957477
Found probable prime factor of 31 digits: 1014943797103657199732857957477
Composite cofactor 33214034555494929987854966957466703168406988821618519476655096119628749744547387059794408408871903828271152342201981499113917742844841655216160071884005892043469143 has 164 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 20, 2014 21:22:14 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 14 秒 (日本時間)
4511e6585 / 4409CypMay 14, 2015 21:27:46 UTC 2015 年 5 月 15 日 (金) 6 時 27 分 46 秒 (日本時間)

10234+1193

c213

name 名前Serge Batalov
date 日付December 21, 2014 01:57:22 UTC 2014 年 12 月 21 日 (日) 10 時 57 分 22 秒 (日本時間)
composite number 合成数
167497101624987573478649940244839845196304954315499690996300897006186334141690873635408426994132032030116621096486042358545098194571801346672179137808548802773523066596998521549149332763008092494466503389498193531<213>
prime factors 素因数
76889423690806961011699903374997<32>
2178415360460216725750703231309621173586707495962965223254185059467049025866445597779234364609341699780186566755033554599364379979152427215243409434396281481321146428405437868143823<181>
factorization results 素因数分解の結果
Input number is 167497101624987573478649940244839845196304954315499690996300897006186334141690873635408426994132032030116621096486042358545098194571801346672179137808548802773523066596998521549149332763008092494466503389498193531 (213 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2062966588
Step 1 took 19075ms
Step 2 took 11484ms
********** Factor found in step 2: 76889423690806961011699903374997
Found probable prime factor of 32 digits: 76889423690806961011699903374997
Probable prime cofactor 2178415360460216725750703231309621173586707495962965223254185059467049025866445597779234364609341699780186566755033554599364379979152427215243409434396281481321146428405437868143823 has 181 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:22:14 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 14 秒 (日本時間)

10235+1193

c187

composite cofactor 合成数の残り
7659397790347703977142819974598783546349884192226956920147461188348640329295250918093606552760966123270045533911605266515400712125145887822393846124269339894076647325310498604112376476113<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:15 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 15 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:58 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 58 秒 (日本時間)
4511e6498 / 4342CypJune 8, 2015 06:23:54 UTC 2015 年 6 月 8 日 (月) 15 時 23 分 54 秒 (日本時間)

10236+1193

c230

composite cofactor 合成数の残り
21878539537474547054065590548820976443595265396529932358119311989942872945413700210187129336517973548408128402523120693619714664463060164452230287381180386589417919267751535928171879556889563039620503604598781496618999892576370871<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:48 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 48 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:03:03 UTC 2014 年 12 月 20 日 (土) 10 時 3 分 3 秒 (日本時間)
4511e61000 / 3916Serge BatalovDecember 21, 2014 10:24:52 UTC 2014 年 12 月 21 日 (日) 19 時 24 分 52 秒 (日本時間)

10238+1193

c207

composite cofactor 合成数の残り
100729945979784385644489442483381276010208344884718851096037482549074757143032860413278940797204943463551348688822752147820136273110531159660848500497652054254554668300732545915287005189222961724507998952253<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:22:15 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 15 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:58 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 58 秒 (日本時間)

10241+1193

c188

name 名前Serge Batalov
date 日付December 21, 2014 01:57:25 UTC 2014 年 12 月 21 日 (日) 10 時 57 分 25 秒 (日本時間)
composite number 合成数
30134422928032191612585823390826268476038111625843364687375659151451399286898718626319404622819039914936654654292293421449315687762685480341136313967670864382079120435269070269147433365891<188>
prime factors 素因数
4731899314980861334574733088834661<34>
composite cofactor 合成数の残り
6368356746862453784410830199125069924810349560919180462323769455203398302644545316122378013980161958770970798787795211832778359229200720327491841123007431<154>
factorization results 素因数分解の結果
Input number is 30134422928032191612585823390826268476038111625843364687375659151451399286898718626319404622819039914936654654292293421449315687762685480341136313967670864382079120435269070269147433365891 (188 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2539203304
Step 1 took 13956ms
Step 2 took 9454ms
********** Factor found in step 2: 4731899314980861334574733088834661
Found probable prime factor of 34 digits: 4731899314980861334574733088834661
Composite cofactor 6368356746862453784410830199125069924810349560919180462323769455203398302644545316122378013980161958770970798787795211832778359229200720327491841123007431 has 154 digits

c154

name 名前yoyo@Home
date 日付March 2, 2021 13:47:34 UTC 2021 年 3 月 2 日 (火) 22 時 47 分 34 秒 (日本時間)
composite number 合成数
6368356746862453784410830199125069924810349560919180462323769455203398302644545316122378013980161958770970798787795211832778359229200720327491841123007431<154>
prime factors 素因数
93353833129086783232859416525763304805563271<44>
composite cofactor 合成数の残り
68217410398740539293781331374540193761725787420472394501371750681821691761496993819498426031095684487324224961<110>
factorization results 素因数分解の結果
GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 6368356746862453784410830199125069924810349560919180462323769455203398302644545316122378013980161958770970798787795211832778359229200720327491841123007431 (154 digits)
[Tue Mar 02 14:20:46 2021]
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=0:432466830268277881
dF=65536, k=5, d=690690, d2=17, i0=46
Expected number of curves to find a factor of n digits:
35  40      45      50      55      60      65      70      75      80
55      246     1286    7557    49831   361851  2844041 2.4e+07 2.2e+08 2.2e+09
Writing checkpoint to checkpnt at p = 43000000
Step 1 took 87015ms
Using 19 small primes for NTT
Estimated memory usage: 213.50MB
Initializing tables of differences for F took 15ms
Computing roots of F took 1422ms
Building F from its roots took 1937ms
Computing 1/F took 766ms
Initializing table of differences for G took 31ms
Computing roots of G took 1078ms
Building G from its roots took 1703ms
Computing roots of G took 1062ms
Building G from its roots took 1719ms
Computing G * H took 406ms
Reducing  G * H mod F took 422ms
Computing roots of G took 1110ms
Building G from its roots took 1750ms
Computing G * H took 453ms
Reducing  G * H mod F took 422ms
Computing roots of G took 1110ms
Building G from its roots took 1671ms
Computing G * H took 453ms
Reducing  G * H mod F took 422ms
Computing roots of G took 1141ms
Building G from its roots took 1718ms
Computing G * H took 406ms
Reducing  G * H mod F took 422ms
Computing polyeval(F,G) took 3687ms
Computing product of all F(g_i) took 16ms
Step 2 took 25719ms
********** Factor found in step 2: 93353833129086783232859416525763304805563271
Found prime factor of 44 digits: 93353833129086783232859416525763304805563271
Composite cofactor 68217410398740539293781331374540193761725787420472394501371750681821691761496993819498426031095684487324224961 has 110 digits
Peak memory usage: 300MB
software ソフトウェア
GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc]

c110

name 名前ivelive
date 日付March 3, 2021 15:41:00 UTC 2021 年 3 月 4 日 (木) 0 時 41 分 0 秒 (日本時間)
composite number 合成数
68217410398740539293781331374540193761725787420472394501371750681821691761496993819498426031095684487324224961<110>
prime factors 素因数
9190676482529098776449979992802520152221294867<46>
7422458023456441999403977172370304632839323710169941627546453083<64>
factorization results 素因数分解の結果
9190676482529098776449979992802520152221294867

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:16 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 16 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:58 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 58 秒 (日本時間)
4511e643442000Serge BatalovDecember 22, 2014 02:49:41 UTC 2014 年 12 月 22 日 (月) 11 時 49 分 41 秒 (日本時間)
400Serge BatalovJune 23, 2015 21:29:42 UTC 2015 年 6 月 24 日 (水) 6 時 29 分 42 秒 (日本時間)
1944Ignacio SantosJanuary 30, 2016 10:32:25 UTC 2016 年 1 月 30 日 (土) 19 時 32 分 25 秒 (日本時間)

10242+1193

c210

name 名前Serge Batalov
date 日付December 21, 2014 01:57:29 UTC 2014 年 12 月 21 日 (日) 10 時 57 分 29 秒 (日本時間)
composite number 合成数
380540296030730071590572088123904467022120018533015064874579827693455561988239240443776213209148168163573309082691003626929522564071407710984449182805937312544766797432496472434647422085313640371120965297089587<210>
prime factors 素因数
1273316201165113768650784252013<31>
composite cofactor 合成数の残り
298857656631186268566180664249631953737626225699985179447152839787391370344577741449763588652604306094293121959161497480806323905659209956111328215154510198903420396864842067303199<180>
factorization results 素因数分解の結果
Input number is 380540296030730071590572088123904467022120018533015064874579827693455561988239240443776213209148168163573309082691003626929522564071407710984449182805937312544766797432496472434647422085313640371120965297089587 (210 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3667002528
Step 1 took 16085ms
Step 2 took 10519ms
********** Factor found in step 2: 1273316201165113768650784252013
Found probable prime factor of 31 digits: 1273316201165113768650784252013
Composite cofactor 298857656631186268566180664249631953737626225699985179447152839787391370344577741449763588652604306094293121959161497480806323905659209956111328215154510198903420396864842067303199 has 180 digits

c180

name 名前Cyp
date 日付May 26, 2015 19:32:55 UTC 2015 年 5 月 27 日 (水) 4 時 32 分 55 秒 (日本時間)
composite number 合成数
298857656631186268566180664249631953737626225699985179447152839787391370344577741449763588652604306094293121959161497480806323905659209956111328215154510198903420396864842067303199<180>
prime factors 素因数
6652529339861805042991083323541528901<37>
44923914102931942415801146938348423790649096279822859072421440336850635226858919910235863559795547408536882930939081688938415734086061552142099<143>
factorization results 素因数分解の結果
Run 11 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2546793106
Step 1 took 59383ms
Step 2 took 18728ms
********** Factor found in step 2: 6652529339861805042991083323541528901
Found probable prime factor of 37 digits: 6652529339861805042991083323541528901
Probable prime cofactor 44923914102931942415801146938348423790649096279822859072421440336850635226858919910235863559795547408536882930939081688938415734086061552142099 has 143 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B1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2280Serge BatalovDecember 20, 2014 21:22:16 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 16 秒 (日本時間)
4511e611 / 4409CypMay 26, 2015 19:32:55 UTC 2015 年 5 月 27 日 (水) 4 時 32 分 55 秒 (日本時間)

10243+1193

c198

composite cofactor 合成数の残り
483018858081975406843663176627885831423393760648791896365028721094740444811872841788126541382150756491694693710390712329870275528033800794168556165278832573509850854725354743284275890704473029847187<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:16 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 16 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:59 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 59 秒 (日本時間)
4511e6498 / 4342CypMay 26, 2015 20:36:48 UTC 2015 年 5 月 27 日 (水) 5 時 36 分 48 秒 (日本時間)

10244+1193

c223

name 名前Serge Batalov
date 日付December 21, 2014 01:57:33 UTC 2014 年 12 月 21 日 (日) 10 時 57 分 33 秒 (日本時間)
composite number 合成数
1422197437648067972774117680899093666508663072203468270895600684684194624682934435907165205368174323689388730584666308205329186191629180578002275796539542003732413237377534361254888900566346287178769640868634825017169373399<223>
prime factors 素因数
343962699164932771160742542091179<33>
composite cofactor 合成数の残り
4134743218089800242486411191637152817244416958695327675894224717587314812561972259199527056807131733632870313836131035112806000246284940907407908071213546164205873191246561872262780194530181<190>
factorization results 素因数分解の結果
Input number is 1422197437648067972774117680899093666508663072203468270895600684684194624682934435907165205368174323689388730584666308205329186191629180578002275796539542003732413237377534361254888900566346287178769640868634825017169373399 (223 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2205523861
Step 1 took 18072ms
Step 2 took 11570ms
********** Factor found in step 2: 343962699164932771160742542091179
Found probable prime factor of 33 digits: 343962699164932771160742542091179
Composite cofactor 4134743218089800242486411191637152817244416958695327675894224717587314812561972259199527056807131733632870313836131035112806000246284940907407908071213546164205873191246561872262780194530181 has 190 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 20, 2014 21:22:17 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 17 秒 (日本時間)
4511e6585 / 4409CypJuly 3, 2015 19:02:08 UTC 2015 年 7 月 4 日 (土) 4 時 2 分 8 秒 (日本時間)

10247+1193

c210

composite cofactor 合成数の残り
306325439654880563492902581385577111912398736152245652906829821762140541777491010703187813754205632883400393431875053955318328443485682729057040683577735394110969604034952768369679356044969746728640124225198849<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:17 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 17 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:59 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 59 秒 (日本時間)
4511e6498 / 4342CypMay 25, 2015 12:33:04 UTC 2015 年 5 月 25 日 (月) 21 時 33 分 4 秒 (日本時間)

10248+1193

c238

composite cofactor 合成数の残り
5016210270489709865712165000893918516652375711843608790541051598482627433486016555946719114106615180280437392068213229112527759486296611869038403296565666280626999699903264245947616296922101077170976113050128612428485098453277110653405567<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:18 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 18 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:00 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 0 秒 (日本時間)
4511e6498 / 4342CypJuly 5, 2015 06:15:47 UTC 2015 年 7 月 5 日 (日) 15 時 15 分 47 秒 (日本時間)

10249+1193

c242

composite cofactor 合成数の残り
13276069397678936821562152868124195876774125960346053493877123260033366214174410564756159296317341816529261339811099322404021618804511457971435979095979064913062522493810331354893643483025131373676626466861291188822760344683403515282793753381<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:18 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 18 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:00 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 0 秒 (日本時間)
4511e6498 / 4342CypJune 16, 2015 09:20:21 UTC 2015 年 6 月 16 日 (火) 18 時 20 分 21 秒 (日本時間)

10250+1193

c173

name 名前Serge Batalov
date 日付December 20, 2014 01:29:06 UTC 2014 年 12 月 20 日 (土) 10 時 29 分 6 秒 (日本時間)
composite number 合成数
70040000008734168280612897980723352613265867122897574551547274357602473022917675371265436634948023126404152132458675509920692272034263975456010658871573071532080272729911681<173>
prime factors 素因数
80681088653865687458843708782094023242020600913707<50>
868109258034637702040009370666224854399147951366807369265236451680281552419921270115999644599515588324062034484278574382083<123>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4287266880
Step 1 took 10986ms
Step 2 took 8199ms
********** Factor found in step 2: 80681088653865687458843708782094023242020600913707
Found probable prime factor of 50 digits: 80681088653865687458843708782094023242020600913707
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:03 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 3 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:23 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 23 秒 (日本時間)

10251+1193

c210

name 名前KTakahashi
date 日付November 12, 2016 23:29:05 UTC 2016 年 11 月 13 日 (日) 8 時 29 分 5 秒 (日本時間)
composite number 合成数
449096015032816008422338761036002958527870646224177717361159081139441271015760860891818711847974456141672495551521403525770936747611324832418500004375035439242826396607351291962252634255352480510622551798245421<210>
prime factors 素因数
10709160747861744394632047585307913193191<41>
composite cofactor 合成数の残り
41935687175345204019836717709109707432968027582543912735551365291274344928502077741430887069454454086794888703279728079500661426555276990222495525579531657025484727171531<170>
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 449096015032816008422338761036002958527870646224177717361159081139441271015760860891818711847974456141672495551521403525770936747611324832418500004375035439242826396607351291962252634255352480510622551798245421 (210 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2897064393
Step 1 took 6302ms
Step 2 took 3417ms
********** Factor found in step 2: 10709160747861744394632047585307913193191
Found probable prime factor of 41 digits: 10709160747861744394632047585307913193191
Composite cofactor 41935687175345204019836717709109707432968027582543912735551365291274344928502077741430887069454454086794888703279728079500661426555276990222495525579531657025484727171531 has 170 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovNovember 13, 2016 22:27:53 UTC 2016 年 11 月 14 日 (月) 7 時 27 分 53 秒 (日本時間)
4511e61200Dmitry DomanovNovember 13, 2016 22:28:45 UTC 2016 年 11 月 14 日 (月) 7 時 28 分 45 秒 (日本時間)
5043e6880 / 7233Dmitry DomanovDecember 1, 2016 20:48:11 UTC 2016 年 12 月 2 日 (金) 5 時 48 分 11 秒 (日本時間)

10255+1193

c220

composite cofactor 合成数の残り
2601642771703998096903524046193817923407514088474315153034978810390193871475880326303746445113380085323273221227135333829066984407343928016632507735154718312407548965115138568528333715767381456034364611081047577988246639<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e62400ebinaOctober 18, 2021 01:17:03 UTC 2021 年 10 月 18 日 (月) 10 時 17 分 3 秒 (日本時間)

10256+1193

c237

composite cofactor 合成数の残り
252684218199014961367746874768232235097415352395090686090351285302448333680639214886720737649427343807046067333479895426312274739717067486996830080649139928642223704420740989598267182422841754848347286278689459252870154743916987179018487<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 3, 2022 02:36:19 UTC 2022 年 3 月 3 日 (木) 11 時 36 分 19 秒 (日本時間)

10258+1193

c229

composite cofactor 合成数の残り
7425800915016248141900596096821874987682089717781092896811377913176094587787157978677124412944603926210155511521568451002342587756864348863783492663507890619354471401453652795469382924236170335889084271114215448653029682472508033<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 19, 2022 15:04:13 UTC 2022 年 2 月 20 日 (日) 0 時 4 分 13 秒 (日本時間)

10259+1193

c204

composite cofactor 合成数の残り
102730601539169681624962282953868784535181712561767310186146434837312183283710740697070474831963931751363710602729506555587545303290776005140750193390128775497351604768390787614236212503616690154721478297<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 18, 2022 15:53:42 UTC 2022 年 2 月 19 日 (土) 0 時 53 分 42 秒 (日本時間)

10260+1193

c257

composite cofactor 合成数の残り
58582308142940831868775629759812536613942589338019917984768599882835383714118336262448740480374926772114821323960164030462800234329232571763327475102519039250146455770357352079671939074399531341534856473345049794961921499707088459285295840656121851200937317<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 6, 2022 23:19:04 UTC 2022 年 3 月 7 日 (月) 8 時 19 分 4 秒 (日本時間)

10261+1193

c222

composite cofactor 合成数の残り
226190860419158702678755990102087494594169064972415110885619688181190584524869017901245661545490141837960598128652008600803640989791155494431772682242178638028114287832279038329053221413889935414678610057477767237362188963<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 19, 2022 15:35:03 UTC 2022 年 2 月 20 日 (日) 0 時 35 分 3 秒 (日本時間)

10262+1193

c218

composite cofactor 合成数の残り
20178582257247688907426475500320979340034639542887342423834819664883411448828506924214185735560508802101517290113262521222207021874426808930640441872937177547919188604136504793323243378349014025167467268927838080147539<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 19, 2022 15:33:38 UTC 2022 年 2 月 20 日 (日) 0 時 33 分 38 秒 (日本時間)

10264+1193

c249

name 名前Serge Batalov
date 日付February 7, 2017 06:01:55 UTC 2017 年 2 月 7 日 (火) 15 時 1 分 55 秒 (日本時間)
composite number 合成数
500587390656691737910179792882543899183049888738727909660990650285675835665729673639063687060738919767409099641683506362362725078379994552508323585841827008053279862452844650439387232429415865335272635438261337089514613910687493668817079002207456031<249>
prime factors 素因数
2343150563157719634538023070833647963<37>
composite cofactor 合成数の残り
213638593493574291077750082345842599193300649724297451477538352279466400297594049615644978163815723016558277957865950261641396981420231629712675423708658496266128984266784843585173768680402206193255924195475997837<213>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3206427470
Step 1 took 51568ms
********** Factor found in step 1: 2343150563157719634538023070833647963
Found prime factor of 37 digits: 2343150563157719634538023070833647963
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 19, 2022 22:41:06 UTC 2022 年 2 月 20 日 (日) 7 時 41 分 6 秒 (日本時間)

10265+1193

c232

composite cofactor 合成数の残り
1531755761887730492092423526850508038240592494512353726366386418556794823627294296357960803305977390852751732311476310016364024860213119336798296834533177245900044568733975678814992314035762277089124848865503969515650394578992910843<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 19, 2022 22:12:32 UTC 2022 年 2 月 20 日 (日) 7 時 12 分 32 秒 (日本時間)

10267+1193

c228

composite cofactor 合成数の残り
139980146211463540119582967804675831050556563747237800100383286068219106996228947733549788356540237543604118719989041056792287362142284374348936367153420252859287990763672050757864509036880234057614938749985767992804429421458493<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 20, 2022 02:01:42 UTC 2022 年 2 月 20 日 (日) 11 時 1 分 42 秒 (日本時間)

10268+1193

c265

name 名前KTakahashi
date 日付November 12, 2016 23:30:48 UTC 2016 年 11 月 13 日 (日) 8 時 30 分 48 秒 (日本時間)
composite number 合成数
9082652134423251589464123524069028156221616712079927338782924613987284287011807447774750227066303360581289736603088101725703905540417801998183469573115349682107175295186194368755676657584014532243415077202543142597638510445049954586739327883742052679382379654859219<265>
prime factors 素因数
190655202470795942226777012489056989<36>
47639151812888547488102567181757454563294110974787388469396381792563191758366136596803327674022400430344298036677155418611495622045581756327280697723882745632440162580857434922366661197471870084307631040585044398981373976367017071<230>
factorization results 素因数分解の結果
Input number is 9082652134423251589464123524069028156221616712079927338782924613987284287011807447774750227066303360581289736603088101725703905540417801998183469573115349682107175295186194368755676657584014532243415077202543142597638510445049954586739327883742052679382379654859219 (265 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=257631134
Step 1 took 8113ms
********** Factor found in step 1: 190655202470795942226777012489056989
Found probable prime factor of 36 digits: 190655202470795942226777012489056989
Probable prime cofactor 47639151812888547488102567181757454563294110974787388469396381792563191758366136596803327674022400430344298036677155418611495622045581756327280697723882745632440162580857434922366661197471870084307631040585044398981373976367017071 has 230 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)

10270+1193

c258

composite cofactor 合成数の残り
199687541870120784817220381535619046963791549869003309205867626708308176952882847022558201339650462817536310224073025059702696772595118469267507572218572401681637610961842364609430437231957498530167574065240059756305260505961264233594391789432439602869208273<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 7, 2022 18:16:22 UTC 2022 年 3 月 8 日 (火) 3 時 16 分 22 秒 (日本時間)

10271+1193

c189

composite cofactor 合成数の残り
239543896046989775998731309512599442397049223866309132226158928818830131365097811021743478301154753920294928354232206632603063017938863634472151684873884444895874264396384289253934755266533<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6800Dmitry DomanovNovember 18, 2016 11:28:51 UTC 2016 年 11 月 18 日 (金) 20 時 28 分 51 秒 (日本時間)
4511e6400 / 4262Dmitry DomanovJanuary 17, 2017 12:26:04 UTC 2017 年 1 月 17 日 (火) 21 時 26 分 4 秒 (日本時間)

10272+1193

c213

composite cofactor 合成数の残り
689631264976059983614624727358044732473271579711811539609337577725387362135554533399270860151204864294768287614395612547596372745485858588564882384642611403537951709335616027795398331522220737516494060056142452407<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 22, 2022 06:36:48 UTC 2022 年 2 月 22 日 (火) 15 時 36 分 48 秒 (日本時間)

10273+1193

c254

composite cofactor 合成数の残り
16189263787582704329351454429958034859576402659301540105219556554035531175502198032019509343842276071922282373452096496962801276292184399208672824949198772844743021419794772477084102369171997956109576297153391673466410289959351467843850401647506477073657<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 2, 2022 13:45:34 UTC 2022 年 3 月 2 日 (水) 22 時 45 分 34 秒 (日本時間)

10274+1193

c266

composite cofactor 合成数の残り
42067476644799529564456778404236824227581918828103081858711575582607943851495648765276861986339335760685630205568908543879686747564022818728664401240500895593440655627344686024360998079657551893881794959156076947152787152690229224039605923489415071971710328689979949<266>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 8, 2022 06:06:05 UTC 2022 年 3 月 8 日 (火) 15 時 6 分 5 秒 (日本時間)

10275+1193

c270

composite cofactor 合成数の残り
107370674706582788695585884192137674973935768714977028044146526612358579400077092144439326442283430664849954850631285881937353506135697206107673460009255352159707436385559503217362267582753263263231019817405430593985309544286645342850669939324831723310066108124416843023<270>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 8, 2022 12:47:23 UTC 2022 年 3 月 8 日 (火) 21 時 47 分 23 秒 (日本時間)

10277+1193

c277

name 名前Dmitry Domanov
date 日付November 16, 2016 06:21:42 UTC 2016 年 11 月 16 日 (水) 15 時 21 分 42 秒 (日本時間)
composite number 合成数
3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333373<277>
prime factors 素因数
1389580635533969307433837751528851748603<40>
composite cofactor 合成数の残り
2398805256848189275223640708587397302010008293821281593025065738883467940716283675932359152645946933031967697148199026478925216409756709756931780080387553783847398760475567138123825702426449814318424465090397338873877284453007278094703591<238>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3093142831
Step 1 took 262753ms
Step 2 took 67815ms
********** Factor found in step 2: 1389580635533969307433837751528851748603
Found probable prime factor of 40 digits: 1389580635533969307433837751528851748603

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovNovember 13, 2016 00:37:46 UTC 2016 年 11 月 13 日 (日) 9 時 37 分 46 秒 (日本時間)
4511e61600 / 4173Dmitry DomanovNovember 15, 2016 23:26:40 UTC 2016 年 11 月 16 日 (水) 8 時 26 分 40 秒 (日本時間)

10278+1193

c278

composite cofactor 合成数の残り
33333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333373<278>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovNovember 13, 2016 00:38:00 UTC 2016 年 11 月 13 日 (日) 9 時 38 分 0 秒 (日本時間)
4511e61600Dmitry DomanovNovember 15, 2016 23:26:10 UTC 2016 年 11 月 16 日 (水) 8 時 26 分 10 秒 (日本時間)
5043e67150800Dmitry DomanovNovember 29, 2016 14:02:18 UTC 2016 年 11 月 29 日 (火) 23 時 2 分 18 秒 (日本時間)
1500Dmitry DomanovDecember 2, 2016 14:49:07 UTC 2016 年 12 月 2 日 (金) 23 時 49 分 7 秒 (日本時間)
1400Dmitry DomanovDecember 11, 2016 15:32:59 UTC 2016 年 12 月 12 日 (月) 0 時 32 分 59 秒 (日本時間)
3450Dmitry DomanovDecember 16, 2016 13:13:37 UTC 2016 年 12 月 16 日 (金) 22 時 13 分 37 秒 (日本時間)

10279+1193

c240

composite cofactor 合成数の残り
318999526607316042308665094606858230386191789853230871328728552411826221435648620118859592845121910815173783067598953413988679716009391227967125068307462208104487293814904132644856077752062153306129385595776890874213293569422759930469213617<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 4, 2022 09:31:49 UTC 2022 年 3 月 4 日 (金) 18 時 31 分 49 秒 (日本時間)

10281+1193

c215

composite cofactor 合成数の残り
35001017648578935717310253720052718533564773831808389290038027206187816116301323940515128614360977655662095889714017469870764854185280257313321626256371278171834452465598759048724525553687972642146101629801797389129<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 21, 2022 10:32:49 UTC 2022 年 2 月 21 日 (月) 19 時 32 分 49 秒 (日本時間)

10282+1193

c227

composite cofactor 合成数の残り
83574090351180016278541664249077949262850311374821656897748416824813076623269067676246478126117339925746217286073304660010450237314163246882176064695143219826457099052152668810805763766259289430621592748069756463088521465019563<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 21, 2022 18:32:26 UTC 2022 年 2 月 22 日 (火) 3 時 32 分 26 秒 (日本時間)

10284+1193

c250

composite cofactor 合成数の残り
1574100158083796710586844144320212601155002524011241901427608711792300685087450627988072844335433734413891925038315964513014482297386498167831444278289100084475556100936064859622555344963201160343784430014038947321291025290797210058029079028628240327<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 4, 2022 16:59:06 UTC 2022 年 3 月 5 日 (土) 1 時 59 分 6 秒 (日本時間)

10285+1193

c274

composite cofactor 合成数の残り
3813831649663772975330451859061430297722903900019846454132687343547622466089566903879164335227091107170526283485420350200974809323205362995548788406277724228106380226953229662211746503048257841931835562232144994056907417962545209906503603725945952637548589771879777173595447<274>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 10, 2022 00:33:02 UTC 2022 年 3 月 10 日 (木) 9 時 33 分 2 秒 (日本時間)

10286+1193

c278

composite cofactor 合成数の残り
72273639737284452271294168580418441680155999471332780049711688525937415667955182797994895067094980492368940770472991872041428869226941563213636694419672052144159054391356107378767853404890307658982872975905348938108345745788905913908377536072080755847553587525072538703311020943<278>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 10, 2022 05:35:28 UTC 2022 年 3 月 10 日 (木) 14 時 35 分 28 秒 (日本時間)

10287+1193

c280

name 名前Serge Batalov
date 日付February 7, 2017 05:14:43 UTC 2017 年 2 月 7 日 (火) 14 時 14 分 43 秒 (日本時間)
composite number 合成数
4834853725610157331458570452690738726486958054597972484750750478082423522646382327952092788191972121846629833784014223366084148985243978080900543722815128392683338499374539147786441996815862033387662584648014671266933289510219164402867280992850750144477516455545526457310731552531<280>
prime factors 素因数
93897787577603216663773922278328534933<38>
composite cofactor 合成数の残り
51490603243599545855083056165892380666054742459675256347430902835790983666551612434730273148887872055423657703656897752393806614415085100635546371275484251414112993487541017473882108610285968013385399597481785220809254267713030060783309376007<242>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1556937049
Step 1 took 65284ms
Step 2 took 11056ms
********** Factor found in step 2: 93897787577603216663773922278328534933
Found prime factor of 38 digits: 93897787577603216663773922278328534933
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 3, 2022 08:11:47 UTC 2022 年 3 月 3 日 (木) 17 時 11 分 47 秒 (日本時間)

10289+1193

c258

composite cofactor 合成数の残り
522314350257325902767389645632450253992118968381306816128566182042139482435950654803084140149457899881491923808740938981773545512201475664130219857161769889518239283002393750388865242696052955965928911330677121498098289372484489891759762125227432074297185769<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 7, 2022 21:37:28 UTC 2022 年 3 月 8 日 (火) 6 時 37 分 28 秒 (日本時間)

10290+1193

c251

composite cofactor 合成数の残り
13554699371450243907692154161479930324612282340699489438829558765264930593980920792922293393503207077989810026050004075347077168225984071484678689793805571303008858413090260838036923121857526527685820106917157927673062743248529492550471542474107474601<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 4, 2022 21:22:32 UTC 2022 年 3 月 5 日 (土) 6 時 22 分 32 秒 (日本時間)

10291+1193

c218

composite cofactor 合成数の残り
27175566722502863226614842298204598356521933669121326228166501832955817423555301890194576450004586685441055273702943327421314443283388199884692891165122178922320460400342161670648745340441792177539805013958842057455451<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 23, 2022 19:48:06 UTC 2022 年 2 月 24 日 (木) 4 時 48 分 6 秒 (日本時間)

10292+1193

c250

composite cofactor 合成数の残り
3311529261229924711764723236605081179779844789228379213411049549682168383644871470531323659485945104384429453112770773836697865284858497258030346422696983120771623626870872626083813903230864206865837752430769938470452788779606264728459407720777766211<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 4, 2022 04:52:54 UTC 2022 年 3 月 4 日 (金) 13 時 52 分 54 秒 (日本時間)

10293+1193

c279

composite cofactor 合成数の残り
217755009065318817854137199482742804543965208105309045379072082022847782400823188178593291343414372917712495798939480768952418899193547470228868576209848712476750242016865774303734230965731671136526194995978087895475094567448918577681229592538045117536422219619078733022363377877<279>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 10, 2022 07:37:16 UTC 2022 年 3 月 10 日 (木) 16 時 37 分 16 秒 (日本時間)

10294+1193

c267

composite cofactor 合成数の残り
151716088939811305468034402342523271916150220306171628078859361412291781398403719414985573029707800662674700059757494821352660688815276450069021638972880635546043212759860805216454992279024359449543814762653435492737893624334128717204250114568775243651737255290706817<267>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 7, 2022 20:39:09 UTC 2022 年 3 月 8 日 (火) 5 時 39 分 9 秒 (日本時間)

10296+1193

c245

composite cofactor 合成数の残り
10094866996775383550195463732865890080758285294837271888867066245691408369365943658289665100355153549615529979752767061723739584190627010082295149530521508227379574310021746454210838614796027349499198658826977648611283340250050399196108056902501<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 4, 2022 13:08:42 UTC 2022 年 3 月 4 日 (金) 22 時 8 分 42 秒 (日本時間)

10297+1193

c290

composite cofactor 合成数の残り
91773791919629652369135849715643494426623503616851026448564414693828405218367937100445589291907377851147865291124363858489585097110896788715714802662945055856741845003793469688997891680678230347996123842124482522002537178251410081369397129701238680046918433380991463477197011808625580090667<290>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61200 / 2104Dmitry DomanovNovember 18, 2016 11:29:26 UTC 2016 年 11 月 18 日 (金) 20 時 29 分 26 秒 (日本時間)