Table of contents 目次

136×10105-19

c106

name 名前Dmitry Domanov
date 日付December 6, 2014 15:42:53 UTC 2014 年 12 月 7 日 (日) 0 時 42 分 53 秒 (日本時間)
composite number 合成数
5037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037<106>
prime factors 素因数
10477319153033289879488198766739861941109906451<47>
480756285407108540929700960721648952208490347926814865765887<60>
factorization results 素因数分解の結果
N=5037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037
  ( 106 digits)
SNFS difficulty: 107 digits.
Divisors found:
 r1=10477319153033289879488198766739861941109906451 (pp47)
 r2=480756285407108540929700960721648952208490347926814865765887 (pp60)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 0.19 hours.
Scaled time: 0.38 units (timescale=2.004).
Factorization parameters were as follows:
n: 5037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037
m: 200000000000000000000000000
deg: 4
c4: 85
c0: -1
skew: 0.33
# Murphy_E = 1.919e-07
type: snfs
lss: 1
rlim: 430000
alim: 430000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 430000/430000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [215000, 335001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 43018 x 43260
Total sieving time: 0.17 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,107.000,4,0,0,0,0,0,0,0,0,430000,430000,25,25,44,44,2.2,2.2,20000
total time: 0.19 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 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

136×10114-19

c105

name 名前KTakahashi
date 日付December 6, 2014 17:35:20 UTC 2014 年 12 月 7 日 (日) 2 時 35 分 20 秒 (日本時間)
composite number 合成数
158253310455194351504377597701926235295397006931460243881458439349853623125909080711406788727326167867409<105>
prime factors 素因数
527451197524535517545459921082387623<36>
300034033855488329235390820831010866099399289380777470602031706958983<69>
factorization results 素因数分解の結果
Number: 15111_114
N=158253310455194351504377597701926235295397006931460243881458439349853623125909080711406788727326167867409
  ( 105 digits)
SNFS difficulty: 117 digits.
Divisors found:
 r1=527451197524535517545459921082387623 (pp36)
 r2=300034033855488329235390820831010866099399289380777470602031706958983 (pp69)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.68 hours.
Scaled time: 3.49 units (timescale=2.075).
Factorization parameters were as follows:
n: 158253310455194351504377597701926235295397006931460243881458439349853623125909080711406788727326167867409
m: 200000000000000000000000
c5: 17
c0: -40
skew: 1.19
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 : 78590 x 78815
Total sieving time: 1.64 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,117.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.68 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 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

136×10118-19

c100

name 名前KTakahashi
date 日付December 6, 2014 17:35:54 UTC 2014 年 12 月 7 日 (日) 2 時 35 分 54 秒 (日本時間)
composite number 合成数
4460567440410413596865363199544241409185469258948780218394765448529761976766765204789931941750473167<100>
prime factors 素因数
72320786378068712251422825877579724877618331<44>
61677529570711101193197284519478385320070884213303259357<56>
factorization results 素因数分解の結果
Number: 15111_118
N=4460567440410413596865363199544241409185469258948780218394765448529761976766765204789931941750473167
  ( 100 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=72320786378068712251422825877579724877618331 (pp44)
 r2=61677529570711101193197284519478385320070884213303259357 (pp56)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 2.44 hours.
Scaled time: 4.13 units (timescale=1.691).
Factorization parameters were as follows:
n: 4460567440410413596865363199544241409185469258948780218394765448529761976766765204789931941750473167
m: 1000000000000000000000000
c5: 34
c0: -25
skew: 0.94
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 : 86981 x 87207
Total sieving time: 2.39 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,121.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.44 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 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

136×10124-19

c117

name 名前Dmitry Domanov
date 日付December 7, 2014 00:50:04 UTC 2014 年 12 月 7 日 (日) 9 時 50 分 4 秒 (日本時間)
composite number 合成数
437960641951360639199744094186805772344060634705398427079618648179804383455900338428579356901163157094663765199311771<117>
prime factors 素因数
4882173979781309167213132685886350461763501<43>
89706070239426112054786176297547635935416695060311285990764167947620903271<74>
factorization results 素因数分解の結果
N=437960641951360639199744094186805772344060634705398427079618648179804383455900338428579356901163157094663765199311771
  ( 117 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=4882173979781309167213132685886350461763501 (pp43)
 r2=89706070239426112054786176297547635935416695060311285990764167947620903271 (pp74)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 1.04 hours.
Scaled time: 2.23 units (timescale=2.149).
Factorization parameters were as follows:
n: 437960641951360639199744094186805772344060634705398427079618648179804383455900338428579356901163157094663765199311771
m: 10000000000000000000000000
deg: 5
c5: 68
c0: -5
skew: 0.59
# Murphy_E = 1.105e-08
type: snfs
lss: 1
rlim: 910000
alim: 910000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 910000/910000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [455000, 705001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 121279 x 121507
Total sieving time: 0.96 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,126.000,5,0,0,0,0,0,0,0,0,910000,910000,26,26,46,46,2.3,2.3,50000
total time: 1.04 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

136×10127-19

c115

name 名前Dmitry Domanov
date 日付December 8, 2014 08:36:38 UTC 2014 年 12 月 8 日 (月) 17 時 36 分 38 秒 (日本時間)
composite number 合成数
2054759025520387352803324882429535396663168757293026347940605864696512774322464296916230860862981945239949468403053<115>
prime factors 素因数
24414057994465646712666135164516523071978717<44>
84162945217307783300032800367949358398751768519988857597927082457913809<71>
factorization results 素因数分解の結果
N=2054759025520387352803324882429535396663168757293026347940605864696512774322464296916230860862981945239949468403053
  ( 115 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=24414057994465646712666135164516523071978717 (pp44)
 r2=84162945217307783300032800367949358398751768519988857597927082457913809 (pp71)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 1.62 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 2054759025520387352803324882429535396663168757293026347940605864696512774322464296916230860862981945239949468403053
m: 20000000000000000000000000
deg: 5
c5: 425
c0: -1
skew: 0.30
# Murphy_E = 9.139e-09
type: snfs
lss: 1
rlim: 990000
alim: 990000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 990000/990000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [495000, 795001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 144662 x 144887
Total sieving time: 1.53 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,129.000,5,0,0,0,0,0,0,0,0,990000,990000,26,26,47,47,2.3,2.3,50000
total time: 1.62 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

136×10132-19

c103

name 名前Dmitry Domanov
date 日付December 8, 2014 12:13:16 UTC 2014 年 12 月 8 日 (月) 21 時 13 分 16 秒 (日本時間)
composite number 合成数
8433254350455406469999546894905485413883551754221920592806611604172446265698085461266950148541171373287<103>
prime factors 素因数
10284542743895847490279933715811152830969<41>
819993125650702318865219663291927464207641511993905265202669023<63>
factorization results 素因数分解の結果
N=8433254350455406469999546894905485413883551754221920592806611604172446265698085461266950148541171373287
  ( 103 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=10284542743895847490279933715811152830969 (pp41)
 r2=819993125650702318865219663291927464207641511993905265202669023 (pp63)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 2.14 hours.
Scaled time: 3.85 units (timescale=1.804).
Factorization parameters were as follows:
n: 8433254350455406469999546894905485413883551754221920592806611604172446265698085461266950148541171373287
m: 200000000000000000000000000
deg: 5
c5: 425
c0: -1
skew: 0.30
# Murphy_E = 6.029e-09
type: snfs
lss: 1
rlim: 1200000
alim: 1200000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [600000, 1050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 159412 x 159638
Total sieving time: 2.01 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,134.000,5,0,0,0,0,0,0,0,0,1200000,1200000,26,26,47,47,2.3,2.3,75000
total time: 2.14 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

136×10137-19

c118

name 名前Ignacio Santos
date 日付December 9, 2014 18:34:20 UTC 2014 年 12 月 10 日 (水) 3 時 34 分 20 秒 (日本時間)
composite number 合成数
1057479790253830743116933903205889204914243766804084693533780477320519963675346929924889427045568515733450776085153189<118>
prime factors 素因数
163738587001315627590356561017793<33>
6458341980472409782182048307726340095966480906685065912089523011698557922036352275173<85>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:302334075
Step 1 took 17640ms
Step 2 took 12360ms
********** Factor found in step 2: 163738587001315627590356561017793
Found probable prime factor of 33 digits: 163738587001315627590356561017793
Probable prime cofactor 6458341980472409782182048307726340095966480906685065912089523011698557922036352275173 has 85 digits
software ソフトウェア
GMP-ECM 7.0

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

136×10138-19

c105

name 名前Cyp
date 日付December 13, 2014 14:50:01 UTC 2014 年 12 月 13 日 (土) 23 時 50 分 1 秒 (日本時間)
composite number 合成数
348724949250731230532165813786515889810854204877948130008772174728337409261754101713451971645108981640507<105>
prime factors 素因数
984992321423689956455314195952124495380123767183<48>
354038241381100861859298873846801657155592464080262593429<57>
factorization results 素因数分解の結果
12/13/14 14:52:01 v1.34.3, 
12/13/14 14:52:01 v1.34.3, ****************************
12/13/14 14:52:01 v1.34.3, Starting factorization of 348724949250731230532165813786515889810854204877948130008772174728337409261754101713451971645108981640507
12/13/14 14:52:01 v1.34.3, using pretesting plan: none
12/13/14 14:52:01 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/13/14 14:52:01 v1.34.3, ****************************
12/13/14 14:52:01 v1.34.3, nfs: commencing nfs on c105: 348724949250731230532165813786515889810854204877948130008772174728337409261754101713451971645108981640507
12/13/14 14:52:01 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/13/14 14:52:01 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/13/14 14:52:15 v1.34.3, nfs: commencing lattice sieving with 8 threads
[217 lines snipped]
12/13/14 15:45:38 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/13/14 15:45:53 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/13/14 15:46:07 v1.34.3, nfs: commencing msieve filtering
12/13/14 15:47:05 v1.34.3, nfs: commencing msieve linear algebra
12/13/14 15:49:21 v1.34.3, nfs: commencing msieve sqrt
12/13/14 15:50:00 v1.34.3, prp57 = 354038241381100861859298873846801657155592464080262593429
12/13/14 15:50:00 v1.34.3, prp48 = 984992321423689956455314195952124495380123767183
12/13/14 15:50:00 v1.34.3, NFS elapsed time = 3479.2016 seconds.
12/13/14 15:50:00 v1.34.3, 
12/13/14 15:50:00 v1.34.3, 
12/13/14 15:50:00 v1.34.3, Total factoring time = 3479.2021 seconds
--
Sat Dec 13 15:46:07 2014  
Sat Dec 13 15:46:07 2014  commencing relation filtering
Sat Dec 13 15:46:07 2014  estimated available RAM is 15987.3 MB
Sat Dec 13 15:46:07 2014  commencing duplicate removal, pass 1
Sat Dec 13 15:46:20 2014  found 800753 hash collisions in 4475447 relations
Sat Dec 13 15:46:24 2014  added 176747 free relations
Sat Dec 13 15:46:24 2014  commencing duplicate removal, pass 2
Sat Dec 13 15:46:28 2014  found 708922 duplicates and 3943272 unique relations
Sat Dec 13 15:46:28 2014  memory use: 20.6 MB
Sat Dec 13 15:46:28 2014  reading ideals above 100000
Sat Dec 13 15:46:28 2014  commencing singleton removal, initial pass
Sat Dec 13 15:46:50 2014  memory use: 94.1 MB
Sat Dec 13 15:46:50 2014  reading all ideals from disk
Sat Dec 13 15:46:51 2014  memory use: 122.3 MB
Sat Dec 13 15:46:51 2014  keeping 4424129 ideals with weight <= 200, target excess is 20274
Sat Dec 13 15:46:51 2014  commencing in-memory singleton removal
Sat Dec 13 15:46:51 2014  begin with 3943272 relations and 4424129 unique ideals
Sat Dec 13 15:46:53 2014  reduce to 1535357 relations and 1352571 ideals in 14 passes
Sat Dec 13 15:46:53 2014  max relations containing the same ideal: 105
Sat Dec 13 15:46:54 2014  removing 344841 relations and 265207 ideals in 79634 cliques
Sat Dec 13 15:46:54 2014  commencing in-memory singleton removal
Sat Dec 13 15:46:54 2014  begin with 1190516 relations and 1352571 unique ideals
Sat Dec 13 15:46:55 2014  reduce to 1136494 relations and 1029854 ideals in 8 passes
Sat Dec 13 15:46:55 2014  max relations containing the same ideal: 83
Sat Dec 13 15:46:55 2014  removing 273933 relations and 194299 ideals in 79634 cliques
Sat Dec 13 15:46:55 2014  commencing in-memory singleton removal
Sat Dec 13 15:46:55 2014  begin with 862561 relations and 1029854 unique ideals
Sat Dec 13 15:46:55 2014  reduce to 821809 relations and 791940 ideals in 7 passes
Sat Dec 13 15:46:55 2014  max relations containing the same ideal: 72
Sat Dec 13 15:46:56 2014  relations with 0 large ideals: 458
Sat Dec 13 15:46:56 2014  relations with 1 large ideals: 184
Sat Dec 13 15:46:56 2014  relations with 2 large ideals: 3423
Sat Dec 13 15:46:56 2014  relations with 3 large ideals: 25934
Sat Dec 13 15:46:56 2014  relations with 4 large ideals: 96577
Sat Dec 13 15:46:56 2014  relations with 5 large ideals: 201745
Sat Dec 13 15:46:56 2014  relations with 6 large ideals: 249922
Sat Dec 13 15:46:56 2014  relations with 7+ large ideals: 243566
Sat Dec 13 15:46:56 2014  commencing 2-way merge
Sat Dec 13 15:46:56 2014  reduce to 526516 relation sets and 496647 unique ideals
Sat Dec 13 15:46:56 2014  commencing full merge
Sat Dec 13 15:47:02 2014  memory use: 63.9 MB
Sat Dec 13 15:47:02 2014  found 261692 cycles, need 252847
Sat Dec 13 15:47:03 2014  weight of 252847 cycles is about 17791785 (70.37/cycle)
Sat Dec 13 15:47:03 2014  distribution of cycle lengths:
Sat Dec 13 15:47:03 2014  1 relations: 12365
Sat Dec 13 15:47:03 2014  2 relations: 21253
Sat Dec 13 15:47:03 2014  3 relations: 25605
Sat Dec 13 15:47:03 2014  4 relations: 26079
Sat Dec 13 15:47:03 2014  5 relations: 25297
Sat Dec 13 15:47:03 2014  6 relations: 23910
Sat Dec 13 15:47:03 2014  7 relations: 22182
Sat Dec 13 15:47:03 2014  8 relations: 19481
Sat Dec 13 15:47:03 2014  9 relations: 16575
Sat Dec 13 15:47:03 2014  10+ relations: 60100
Sat Dec 13 15:47:03 2014  heaviest cycle: 20 relations
Sat Dec 13 15:47:03 2014  commencing cycle optimization
Sat Dec 13 15:47:03 2014  start with 1710811 relations
Sat Dec 13 15:47:05 2014  pruned 53620 relations
Sat Dec 13 15:47:05 2014  memory use: 50.8 MB
Sat Dec 13 15:47:05 2014  distribution of cycle lengths:
Sat Dec 13 15:47:05 2014  1 relations: 12365
Sat Dec 13 15:47:05 2014  2 relations: 21697
Sat Dec 13 15:47:05 2014  3 relations: 26661
Sat Dec 13 15:47:05 2014  4 relations: 26885
Sat Dec 13 15:47:05 2014  5 relations: 26451
Sat Dec 13 15:47:05 2014  6 relations: 24792
Sat Dec 13 15:47:05 2014  7 relations: 22835
Sat Dec 13 15:47:05 2014  8 relations: 19774
Sat Dec 13 15:47:05 2014  9 relations: 16718
Sat Dec 13 15:47:05 2014  10+ relations: 54669
Sat Dec 13 15:47:05 2014  heaviest cycle: 20 relations
Sat Dec 13 15:47:05 2014  RelProcTime: 58
Sat Dec 13 15:47:05 2014  
Sat Dec 13 15:47:05 2014  commencing linear algebra
Sat Dec 13 15:47:05 2014  read 252847 cycles
Sat Dec 13 15:47:05 2014  cycles contain 779464 unique relations
Sat Dec 13 15:47:10 2014  read 779464 relations
Sat Dec 13 15:47:10 2014  using 20 quadratic characters above 67108110
Sat Dec 13 15:47:13 2014  building initial matrix
Sat Dec 13 15:47:17 2014  memory use: 93.4 MB
Sat Dec 13 15:47:17 2014  read 252847 cycles
Sat Dec 13 15:47:17 2014  matrix is 252715 x 252847 (75.2 MB) with weight 22738579 (89.93/col)
Sat Dec 13 15:47:17 2014  sparse part has weight 16925027 (66.94/col)
Sat Dec 13 15:47:19 2014  filtering completed in 2 passes
Sat Dec 13 15:47:19 2014  matrix is 252561 x 252717 (75.2 MB) with weight 22732229 (89.95/col)
Sat Dec 13 15:47:19 2014  sparse part has weight 16921734 (66.96/col)
Sat Dec 13 15:47:19 2014  matrix starts at (0, 0)
Sat Dec 13 15:47:19 2014  matrix is 252561 x 252717 (75.2 MB) with weight 22732229 (89.95/col)
Sat Dec 13 15:47:19 2014  sparse part has weight 16921734 (66.96/col)
Sat Dec 13 15:47:19 2014  saving the first 48 matrix rows for later
Sat Dec 13 15:47:19 2014  matrix includes 64 packed rows
Sat Dec 13 15:47:19 2014  matrix is 252513 x 252717 (70.7 MB) with weight 17863239 (70.68/col)
Sat Dec 13 15:47:19 2014  sparse part has weight 15996695 (63.30/col)
Sat Dec 13 15:47:19 2014  using block size 65536 for processor cache size 8192 kB
Sat Dec 13 15:47:20 2014  commencing Lanczos iteration (8 threads)
Sat Dec 13 15:47:20 2014  memory use: 67.4 MB
Sat Dec 13 15:47:26 2014  linear algebra at 4.8%, ETA 0h 1m
Sat Dec 13 15:49:21 2014  lanczos halted after 3995 iterations (dim = 252495)
Sat Dec 13 15:49:21 2014  recovered 33 nontrivial dependencies
Sat Dec 13 15:49:21 2014  BLanczosTime: 136
Sat Dec 13 15:49:21 2014  
Sat Dec 13 15:49:21 2014  commencing square root phase
Sat Dec 13 15:49:21 2014  reading relations for dependency 1
Sat Dec 13 15:49:21 2014  read 126239 cycles
Sat Dec 13 15:49:21 2014  cycles contain 389912 unique relations
Sat Dec 13 15:49:25 2014  read 389912 relations
Sat Dec 13 15:49:26 2014  multiplying 389912 relations
Sat Dec 13 15:49:32 2014  multiply complete, coefficients have about 11.71 million bits
Sat Dec 13 15:49:32 2014  initial square root is modulo 5349121
Sat Dec 13 15:49:41 2014  Newton iteration failed to converge
Sat Dec 13 15:49:41 2014  algebraic square root failed
Sat Dec 13 15:49:41 2014  reading relations for dependency 2
Sat Dec 13 15:49:41 2014  read 126819 cycles
Sat Dec 13 15:49:41 2014  cycles contain 390336 unique relations
Sat Dec 13 15:49:44 2014  read 390336 relations
Sat Dec 13 15:49:45 2014  multiplying 390336 relations
Sat Dec 13 15:49:51 2014  multiply complete, coefficients have about 11.72 million bits
Sat Dec 13 15:49:51 2014  initial square root is modulo 5448341
Sat Dec 13 15:50:00 2014  sqrtTime: 39
--
n: 348724949250731230532165813786515889810854204877948130008772174728337409261754101713451971645108981640507
m: 2000000000000000000000000000
deg: 5
c5: 4250
c0: -1
skew: 0.19
# Murphy_E = 3.063e-09
type: snfs
lss: 1
rlim: 1520000
alim: 1520000
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
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6284 / 2318Pierre JammesDecember 9, 2014 19:42:49 UTC 2014 年 12 月 10 日 (水) 4 時 42 分 49 秒 (日本時間)

136×10143-19

c131

name 名前Serge Batalov
date 日付December 11, 2014 01:34:12 UTC 2014 年 12 月 11 日 (木) 10 時 34 分 12 秒 (日本時間)
composite number 合成数
24121860216083398148684514357831449504276940486554491614331946993547066081031385147945413021446976001863715439374291540905274245231<131>
prime factors 素因数
16963381862891565953034824169885523303<38>
1421995944620656148447148834631584789295966570796046144042653884748115844768804228722825320377<94>
factorization results 素因数分解の結果
Input number is 24121860216083398148684514357831449504276940486554491614331946993547066081031385147945413021446976001863715439374291540905274245231 (131 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1980450537
Step 1 took 7690ms
Step 2 took 6506ms
********** Factor found in step 2: 16963381862891565953034824169885523303
Found probable prime factor of 38 digits: 16963381862891565953034824169885523303
Probable prime cofactor 1421995944620656148447148834631584789295966570796046144042653884748115844768804228722825320377 has 94 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:48:24 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 24 秒 (日本時間)

136×10144-19

c121

name 名前Cyp
date 日付December 14, 2014 10:48:37 UTC 2014 年 12 月 14 日 (日) 19 時 48 分 37 秒 (日本時間)
composite number 合成数
6361645192306683437911174518750084772897210321575139110178499920884416888695910145898477020787293145913712774095358918143<121>
prime factors 素因数
586695176846012052815477293370739095854799495186553110808397<60>
10843186450766414703974506011572138113687252404787283399453819<62>
factorization results 素因数分解の結果
12/14/14 10:59:34 v1.34.3, 
12/14/14 10:59:34 v1.34.3, ****************************
12/14/14 10:59:34 v1.34.3, Starting factorization of 6361645192306683437911174518750084772897210321575139110178499920884416888695910145898477020787293145913712774095358918143
12/14/14 10:59:34 v1.34.3, using pretesting plan: none
12/14/14 10:59:34 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/14/14 10:59:34 v1.34.3, ****************************
12/14/14 10:59:34 v1.34.3, nfs: commencing nfs on c121: 6361645192306683437911174518750084772897210321575139110178499920884416888695910145898477020787293145913712774095358918143
12/14/14 10:59:34 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/14/14 10:59:34 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/14/14 11:00:19 v1.34.3, nfs: commencing lattice sieving with 8 threads
[52 lines snipped]
12/14/14 11:43:27 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/14/14 11:44:18 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/14/14 11:45:07 v1.34.3, nfs: commencing msieve filtering
12/14/14 11:45:54 v1.34.3, nfs: commencing msieve linear algebra
12/14/14 11:47:59 v1.34.3, nfs: commencing msieve sqrt
12/14/14 11:48:36 v1.34.3, prp62 = 10843186450766414703974506011572138113687252404787283399453819
12/14/14 11:48:36 v1.34.3, prp60 = 586695176846012052815477293370739095854799495186553110808397
12/14/14 11:48:36 v1.34.3, NFS elapsed time = 2942.7195 seconds.
12/14/14 11:48:36 v1.34.3, 
12/14/14 11:48:36 v1.34.3, 
12/14/14 11:48:36 v1.34.3, Total factoring time = 2942.7200 seconds
--
Sun Dec 14 11:45:07 2014  
Sun Dec 14 11:45:07 2014  commencing relation filtering
Sun Dec 14 11:45:07 2014  estimated available RAM is 15987.3 MB
Sun Dec 14 11:45:07 2014  commencing duplicate removal, pass 1
Sun Dec 14 11:45:19 2014  found 617125 hash collisions in 4489122 relations
Sun Dec 14 11:45:23 2014  added 183772 free relations
Sun Dec 14 11:45:23 2014  commencing duplicate removal, pass 2
Sun Dec 14 11:45:26 2014  found 451189 duplicates and 4221705 unique relations
Sun Dec 14 11:45:26 2014  memory use: 20.6 MB
Sun Dec 14 11:45:26 2014  reading ideals above 100000
Sun Dec 14 11:45:26 2014  commencing singleton removal, initial pass
Sun Dec 14 11:45:43 2014  memory use: 94.1 MB
Sun Dec 14 11:45:43 2014  reading all ideals from disk
Sun Dec 14 11:45:43 2014  memory use: 136.0 MB
Sun Dec 14 11:45:43 2014  keeping 4718321 ideals with weight <= 200, target excess is 21609
Sun Dec 14 11:45:43 2014  commencing in-memory singleton removal
Sun Dec 14 11:45:43 2014  begin with 4221705 relations and 4718321 unique ideals
Sun Dec 14 11:45:44 2014  reduce to 1668317 relations and 1506698 ideals in 14 passes
Sun Dec 14 11:45:44 2014  max relations containing the same ideal: 106
Sun Dec 14 11:45:45 2014  removing 341927 relations and 273651 ideals in 68276 cliques
Sun Dec 14 11:45:45 2014  commencing in-memory singleton removal
Sun Dec 14 11:45:45 2014  begin with 1326390 relations and 1506698 unique ideals
Sun Dec 14 11:45:45 2014  reduce to 1271078 relations and 1174898 ideals in 9 passes
Sun Dec 14 11:45:45 2014  max relations containing the same ideal: 90
Sun Dec 14 11:45:45 2014  removing 274251 relations and 205975 ideals in 68276 cliques
Sun Dec 14 11:45:45 2014  commencing in-memory singleton removal
Sun Dec 14 11:45:45 2014  begin with 996827 relations and 1174898 unique ideals
Sun Dec 14 11:45:45 2014  reduce to 951873 relations and 921565 ideals in 8 passes
Sun Dec 14 11:45:45 2014  max relations containing the same ideal: 77
Sun Dec 14 11:45:46 2014  relations with 0 large ideals: 490
Sun Dec 14 11:45:46 2014  relations with 1 large ideals: 132
Sun Dec 14 11:45:46 2014  relations with 2 large ideals: 2382
Sun Dec 14 11:45:46 2014  relations with 3 large ideals: 19560
Sun Dec 14 11:45:46 2014  relations with 4 large ideals: 83169
Sun Dec 14 11:45:46 2014  relations with 5 large ideals: 198020
Sun Dec 14 11:45:46 2014  relations with 6 large ideals: 286311
Sun Dec 14 11:45:46 2014  relations with 7+ large ideals: 361809
Sun Dec 14 11:45:46 2014  commencing 2-way merge
Sun Dec 14 11:45:46 2014  reduce to 578203 relation sets and 547895 unique ideals
Sun Dec 14 11:45:46 2014  commencing full merge
Sun Dec 14 11:45:52 2014  memory use: 72.8 MB
Sun Dec 14 11:45:52 2014  found 285739 cycles, need 278095
Sun Dec 14 11:45:52 2014  weight of 278095 cycles is about 19840704 (71.35/cycle)
Sun Dec 14 11:45:52 2014  distribution of cycle lengths:
Sun Dec 14 11:45:52 2014  1 relations: 24685
Sun Dec 14 11:45:52 2014  2 relations: 26753
Sun Dec 14 11:45:52 2014  3 relations: 27803
Sun Dec 14 11:45:52 2014  4 relations: 26836
Sun Dec 14 11:45:52 2014  5 relations: 25102
Sun Dec 14 11:45:52 2014  6 relations: 23500
Sun Dec 14 11:45:52 2014  7 relations: 21651
Sun Dec 14 11:45:52 2014  8 relations: 18964
Sun Dec 14 11:45:52 2014  9 relations: 16580
Sun Dec 14 11:45:52 2014  10+ relations: 66221
Sun Dec 14 11:45:52 2014  heaviest cycle: 22 relations
Sun Dec 14 11:45:52 2014  commencing cycle optimization
Sun Dec 14 11:45:52 2014  start with 1832477 relations
Sun Dec 14 11:45:54 2014  pruned 53738 relations
Sun Dec 14 11:45:54 2014  memory use: 56.7 MB
Sun Dec 14 11:45:54 2014  distribution of cycle lengths:
Sun Dec 14 11:45:54 2014  1 relations: 24685
Sun Dec 14 11:45:54 2014  2 relations: 27284
Sun Dec 14 11:45:54 2014  3 relations: 28777
Sun Dec 14 11:45:54 2014  4 relations: 27624
Sun Dec 14 11:45:54 2014  5 relations: 25983
Sun Dec 14 11:45:54 2014  6 relations: 24158
Sun Dec 14 11:45:54 2014  7 relations: 22190
Sun Dec 14 11:45:54 2014  8 relations: 19284
Sun Dec 14 11:45:54 2014  9 relations: 16906
Sun Dec 14 11:45:54 2014  10+ relations: 61204
Sun Dec 14 11:45:54 2014  heaviest cycle: 22 relations
Sun Dec 14 11:45:54 2014  RelProcTime: 47
Sun Dec 14 11:45:54 2014  
Sun Dec 14 11:45:54 2014  commencing linear algebra
Sun Dec 14 11:45:54 2014  read 278095 cycles
Sun Dec 14 11:45:54 2014  cycles contain 904884 unique relations
Sun Dec 14 11:45:59 2014  read 904884 relations
Sun Dec 14 11:45:59 2014  using 20 quadratic characters above 67098068
Sun Dec 14 11:46:02 2014  building initial matrix
Sun Dec 14 11:46:06 2014  memory use: 107.3 MB
Sun Dec 14 11:46:06 2014  read 278095 cycles
Sun Dec 14 11:46:07 2014  matrix is 277920 x 278095 (83.7 MB) with weight 25148003 (90.43/col)
Sun Dec 14 11:46:07 2014  sparse part has weight 18888939 (67.92/col)
Sun Dec 14 11:46:08 2014  filtering completed in 2 passes
Sun Dec 14 11:46:08 2014  matrix is 277675 x 277852 (83.7 MB) with weight 25137536 (90.47/col)
Sun Dec 14 11:46:08 2014  sparse part has weight 18884110 (67.96/col)
Sun Dec 14 11:46:08 2014  matrix starts at (0, 0)
Sun Dec 14 11:46:08 2014  matrix is 277675 x 277852 (83.7 MB) with weight 25137536 (90.47/col)
Sun Dec 14 11:46:08 2014  sparse part has weight 18884110 (67.96/col)
Sun Dec 14 11:46:08 2014  saving the first 48 matrix rows for later
Sun Dec 14 11:46:08 2014  matrix includes 64 packed rows
Sun Dec 14 11:46:08 2014  matrix is 277627 x 277852 (79.0 MB) with weight 19945643 (71.79/col)
Sun Dec 14 11:46:08 2014  sparse part has weight 17939165 (64.56/col)
Sun Dec 14 11:46:08 2014  using block size 65536 for processor cache size 8192 kB
Sun Dec 14 11:46:09 2014  commencing Lanczos iteration (8 threads)
Sun Dec 14 11:46:09 2014  memory use: 75.5 MB
Sun Dec 14 11:46:13 2014  linear algebra at 4.4%, ETA 0h 1m
Sun Dec 14 11:47:59 2014  lanczos halted after 4392 iterations (dim = 277627)
Sun Dec 14 11:47:59 2014  recovered 39 nontrivial dependencies
Sun Dec 14 11:47:59 2014  BLanczosTime: 125
Sun Dec 14 11:47:59 2014  
Sun Dec 14 11:47:59 2014  commencing square root phase
Sun Dec 14 11:47:59 2014  reading relations for dependency 1
Sun Dec 14 11:47:59 2014  read 139224 cycles
Sun Dec 14 11:47:59 2014  cycles contain 453814 unique relations
Sun Dec 14 11:48:03 2014  read 453814 relations
Sun Dec 14 11:48:03 2014  multiplying 453814 relations
Sun Dec 14 11:48:09 2014  multiply complete, coefficients have about 11.69 million bits
Sun Dec 14 11:48:10 2014  initial square root is modulo 5230601
Sun Dec 14 11:48:18 2014  GCD is 1, no factor found
Sun Dec 14 11:48:18 2014  reading relations for dependency 2
Sun Dec 14 11:48:18 2014  read 139078 cycles
Sun Dec 14 11:48:18 2014  cycles contain 452490 unique relations
Sun Dec 14 11:48:21 2014  read 452490 relations
Sun Dec 14 11:48:22 2014  multiplying 452490 relations
Sun Dec 14 11:48:28 2014  multiply complete, coefficients have about 11.66 million bits
Sun Dec 14 11:48:28 2014  initial square root is modulo 5004281
Sun Dec 14 11:48:36 2014  sqrtTime: 37
--
n: 6361645192306683437911174518750084772897210321575139110178499920884416888695910145898477020787293145913712774095358918143
m: 100000000000000000000000000000
deg: 5
c5: 68
c0: -5
skew: 0.59
# Murphy_E = 2.044e-09
type: snfs
lss: 1
rlim: 1960000
alim: 1960000
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 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:48:25 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 25 秒 (日本時間)

136×10145-19

c120

name 名前Cyp
date 日付December 14, 2014 13:21:42 UTC 2014 年 12 月 14 日 (日) 22 時 21 分 42 秒 (日本時間)
composite number 合成数
593181709563860900341589905367863007868916594822773523145974408533883519381893697189234454618170326744575269680071915687<120>
prime factors 素因数
12596908958264087841857753787083479748492929<44>
47089465481506828004523200935631534678359656231923557028814496680142657336103<77>
factorization results 素因数分解の結果
12/14/14 13:31:40 v1.34.3, 
12/14/14 13:31:40 v1.34.3, ****************************
12/14/14 13:31:40 v1.34.3, Starting factorization of 593181709563860900341589905367863007868916594822773523145974408533883519381893697189234454618170326744575269680071915687
12/14/14 13:31:40 v1.34.3, using pretesting plan: none
12/14/14 13:31:40 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/14/14 13:31:40 v1.34.3, ****************************
12/14/14 13:31:40 v1.34.3, nfs: commencing nfs on c120: 593181709563860900341589905367863007868916594822773523145974408533883519381893697189234454618170326744575269680071915687
12/14/14 13:31:40 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/14/14 13:31:40 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/14/14 13:32:27 v1.34.3, nfs: commencing lattice sieving with 8 threads
[53 lines snipped]
12/14/14 14:16:32 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/14/14 14:17:22 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/14/14 14:18:13 v1.34.3, nfs: commencing msieve filtering
12/14/14 14:19:00 v1.34.3, nfs: commencing msieve linear algebra
12/14/14 14:21:04 v1.34.3, nfs: commencing msieve sqrt
12/14/14 14:21:42 v1.34.3, prp44 = 12596908958264087841857753787083479748492929
12/14/14 14:21:42 v1.34.3, prp77 = 47089465481506828004523200935631534678359656231923557028814496680142657336103
12/14/14 14:21:42 v1.34.3, NFS elapsed time = 3001.8844 seconds.
12/14/14 14:21:42 v1.34.3, 
12/14/14 14:21:42 v1.34.3, 
12/14/14 14:21:42 v1.34.3, Total factoring time = 3001.8849 seconds
--
Sun Dec 14 14:18:13 2014  
Sun Dec 14 14:18:13 2014  commencing relation filtering
Sun Dec 14 14:18:13 2014  estimated available RAM is 15987.3 MB
Sun Dec 14 14:18:13 2014  commencing duplicate removal, pass 1
Sun Dec 14 14:18:24 2014  found 627277 hash collisions in 4530391 relations
Sun Dec 14 14:18:28 2014  added 183681 free relations
Sun Dec 14 14:18:28 2014  commencing duplicate removal, pass 2
Sun Dec 14 14:18:31 2014  found 459770 duplicates and 4254302 unique relations
Sun Dec 14 14:18:31 2014  memory use: 20.6 MB
Sun Dec 14 14:18:31 2014  reading ideals above 100000
Sun Dec 14 14:18:31 2014  commencing singleton removal, initial pass
Sun Dec 14 14:18:48 2014  memory use: 94.1 MB
Sun Dec 14 14:18:48 2014  reading all ideals from disk
Sun Dec 14 14:18:48 2014  memory use: 137.4 MB
Sun Dec 14 14:18:48 2014  keeping 4730939 ideals with weight <= 200, target excess is 22022
Sun Dec 14 14:18:49 2014  commencing in-memory singleton removal
Sun Dec 14 14:18:49 2014  begin with 4254302 relations and 4730939 unique ideals
Sun Dec 14 14:18:50 2014  reduce to 1709775 relations and 1533735 ideals in 14 passes
Sun Dec 14 14:18:50 2014  max relations containing the same ideal: 111
Sun Dec 14 14:18:50 2014  removing 360553 relations and 285306 ideals in 75247 cliques
Sun Dec 14 14:18:50 2014  commencing in-memory singleton removal
Sun Dec 14 14:18:50 2014  begin with 1349222 relations and 1533735 unique ideals
Sun Dec 14 14:18:50 2014  reduce to 1289677 relations and 1185589 ideals in 9 passes
Sun Dec 14 14:18:50 2014  max relations containing the same ideal: 87
Sun Dec 14 14:18:51 2014  removing 289706 relations and 214459 ideals in 75247 cliques
Sun Dec 14 14:18:51 2014  commencing in-memory singleton removal
Sun Dec 14 14:18:51 2014  begin with 999971 relations and 1185589 unique ideals
Sun Dec 14 14:18:51 2014  reduce to 951592 relations and 920049 ideals in 8 passes
Sun Dec 14 14:18:51 2014  max relations containing the same ideal: 74
Sun Dec 14 14:18:51 2014  relations with 0 large ideals: 523
Sun Dec 14 14:18:51 2014  relations with 1 large ideals: 143
Sun Dec 14 14:18:51 2014  relations with 2 large ideals: 2240
Sun Dec 14 14:18:51 2014  relations with 3 large ideals: 19302
Sun Dec 14 14:18:51 2014  relations with 4 large ideals: 82443
Sun Dec 14 14:18:51 2014  relations with 5 large ideals: 197284
Sun Dec 14 14:18:51 2014  relations with 6 large ideals: 286262
Sun Dec 14 14:18:51 2014  relations with 7+ large ideals: 363395
Sun Dec 14 14:18:51 2014  commencing 2-way merge
Sun Dec 14 14:18:51 2014  reduce to 580856 relation sets and 549313 unique ideals
Sun Dec 14 14:18:51 2014  commencing full merge
Sun Dec 14 14:18:57 2014  memory use: 73.4 MB
Sun Dec 14 14:18:57 2014  found 287987 cycles, need 279513
Sun Dec 14 14:18:57 2014  weight of 279513 cycles is about 19831194 (70.95/cycle)
Sun Dec 14 14:18:57 2014  distribution of cycle lengths:
Sun Dec 14 14:18:57 2014  1 relations: 24592
Sun Dec 14 14:18:57 2014  2 relations: 27240
Sun Dec 14 14:18:57 2014  3 relations: 27670
Sun Dec 14 14:18:57 2014  4 relations: 26943
Sun Dec 14 14:18:57 2014  5 relations: 25797
Sun Dec 14 14:18:57 2014  6 relations: 23875
Sun Dec 14 14:18:57 2014  7 relations: 21975
Sun Dec 14 14:18:57 2014  8 relations: 19446
Sun Dec 14 14:18:57 2014  9 relations: 16685
Sun Dec 14 14:18:57 2014  10+ relations: 65290
Sun Dec 14 14:18:57 2014  heaviest cycle: 21 relations
Sun Dec 14 14:18:58 2014  commencing cycle optimization
Sun Dec 14 14:18:58 2014  start with 1826966 relations
Sun Dec 14 14:18:59 2014  pruned 54671 relations
Sun Dec 14 14:18:59 2014  memory use: 56.5 MB
Sun Dec 14 14:18:59 2014  distribution of cycle lengths:
Sun Dec 14 14:18:59 2014  1 relations: 24592
Sun Dec 14 14:18:59 2014  2 relations: 27708
Sun Dec 14 14:18:59 2014  3 relations: 28705
Sun Dec 14 14:18:59 2014  4 relations: 27753
Sun Dec 14 14:18:59 2014  5 relations: 26812
Sun Dec 14 14:18:59 2014  6 relations: 24583
Sun Dec 14 14:18:59 2014  7 relations: 22516
Sun Dec 14 14:18:59 2014  8 relations: 19914
Sun Dec 14 14:18:59 2014  9 relations: 16943
Sun Dec 14 14:18:59 2014  10+ relations: 59987
Sun Dec 14 14:18:59 2014  heaviest cycle: 21 relations
Sun Dec 14 14:19:00 2014  RelProcTime: 47
Sun Dec 14 14:19:00 2014  
Sun Dec 14 14:19:00 2014  commencing linear algebra
Sun Dec 14 14:19:00 2014  read 279513 cycles
Sun Dec 14 14:19:00 2014  cycles contain 901774 unique relations
Sun Dec 14 14:19:04 2014  read 901774 relations
Sun Dec 14 14:19:05 2014  using 20 quadratic characters above 67104342
Sun Dec 14 14:19:08 2014  building initial matrix
Sun Dec 14 14:19:12 2014  memory use: 107.4 MB
Sun Dec 14 14:19:12 2014  read 279513 cycles
Sun Dec 14 14:19:12 2014  matrix is 279341 x 279513 (83.7 MB) with weight 25113626 (89.85/col)
Sun Dec 14 14:19:12 2014  sparse part has weight 18860737 (67.48/col)
Sun Dec 14 14:19:13 2014  filtering completed in 2 passes
Sun Dec 14 14:19:13 2014  matrix is 279140 x 279314 (83.7 MB) with weight 25104335 (89.88/col)
Sun Dec 14 14:19:13 2014  sparse part has weight 18855995 (67.51/col)
Sun Dec 14 14:19:13 2014  matrix starts at (0, 0)
Sun Dec 14 14:19:13 2014  matrix is 279140 x 279314 (83.7 MB) with weight 25104335 (89.88/col)
Sun Dec 14 14:19:13 2014  sparse part has weight 18855995 (67.51/col)
Sun Dec 14 14:19:13 2014  saving the first 48 matrix rows for later
Sun Dec 14 14:19:13 2014  matrix includes 64 packed rows
Sun Dec 14 14:19:13 2014  matrix is 279092 x 279314 (78.9 MB) with weight 19798613 (70.88/col)
Sun Dec 14 14:19:13 2014  sparse part has weight 17889320 (64.05/col)
Sun Dec 14 14:19:13 2014  using block size 65536 for processor cache size 8192 kB
Sun Dec 14 14:19:14 2014  commencing Lanczos iteration (8 threads)
Sun Dec 14 14:19:14 2014  memory use: 75.6 MB
Sun Dec 14 14:19:19 2014  linear algebra at 4.3%, ETA 0h 1m
Sun Dec 14 14:21:04 2014  lanczos halted after 4415 iterations (dim = 279080)
Sun Dec 14 14:21:04 2014  recovered 31 nontrivial dependencies
Sun Dec 14 14:21:04 2014  BLanczosTime: 124
Sun Dec 14 14:21:04 2014  
Sun Dec 14 14:21:04 2014  commencing square root phase
Sun Dec 14 14:21:04 2014  reading relations for dependency 1
Sun Dec 14 14:21:04 2014  read 139877 cycles
Sun Dec 14 14:21:04 2014  cycles contain 451682 unique relations
Sun Dec 14 14:21:08 2014  read 451682 relations
Sun Dec 14 14:21:09 2014  multiplying 451682 relations
Sun Dec 14 14:21:15 2014  multiply complete, coefficients have about 11.94 million bits
Sun Dec 14 14:21:15 2014  initial square root is modulo 7293281
Sun Dec 14 14:21:23 2014  GCD is N, no factor found
Sun Dec 14 14:21:23 2014  reading relations for dependency 2
Sun Dec 14 14:21:23 2014  read 139805 cycles
Sun Dec 14 14:21:23 2014  cycles contain 451430 unique relations
Sun Dec 14 14:21:27 2014  read 451430 relations
Sun Dec 14 14:21:28 2014  multiplying 451430 relations
Sun Dec 14 14:21:34 2014  multiply complete, coefficients have about 11.94 million bits
Sun Dec 14 14:21:34 2014  initial square root is modulo 7237031
Sun Dec 14 14:21:42 2014  sqrtTime: 38
--
n: 593181709563860900341589905367863007868916594822773523145974408533883519381893697189234454618170326744575269680071915687
m: 100000000000000000000000000000
deg: 5
c5: 136
c0: -1
skew: 0.37
# Murphy_E = 2.098e-09
type: snfs
lss: 1
rlim: 1980000
alim: 1980000
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 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:48:25 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 25 秒 (日本時間)

136×10146-19

c119

name 名前Serge Batalov
date 日付December 10, 2014 22:51:53 UTC 2014 年 12 月 11 日 (木) 7 時 51 分 53 秒 (日本時間)
composite number 合成数
26175998049896039561008957350279627185313241247252145895010121845633691332769643830044862624291951105220880451857538107<119>
prime factors 素因数
15886833295649658105150419250930911<35>
1647653598597518867349569161896395477473763231022002835438612783658565513055619430437<85>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2409466480
Step 1 took 7585ms
Step 2 took 6257ms
********** Factor found in step 2: 15886833295649658105150419250930911
Found probable prime factor of 35 digits: 15886833295649658105150419250930911
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:48:26 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 26 秒 (日本時間)

136×10148-19

c132

name 名前Dmitry Domanov
date 日付December 15, 2014 14:34:29 UTC 2014 年 12 月 15 日 (月) 23 時 34 分 29 秒 (日本時間)
composite number 合成数
627009117482036854103549875836108581581490890974247473645946056406951096611017974322350998121927297341787843124832244150710938229203<132>
prime factors 素因数
1849900298741639632712211517296756345137<40>
338942113749885967828188235420496782267209343431766914616850884715158723621681261453814026819<93>
factorization results 素因数分解の結果
N=627009117482036854103549875836108581581490890974247473645946056406951096611017974322350998121927297341787843124832244150710938229203
  ( 132 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=1849900298741639632712211517296756345137 (pp40)
 r2=338942113749885967828188235420496782267209343431766914616850884715158723621681261453814026819 (pp93)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 11.48 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 627009117482036854103549875836108581581490890974247473645946056406951096611017974322350998121927297341787843124832244150710938229203
m: 200000000000000000000000000000
deg: 5
c5: 4250
c0: -1
skew: 0.19
# Murphy_E = 1.294e-09
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1100000, 1800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 374948 x 375175
Total sieving time: 11.24 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,150.000,5,0,0,0,0,0,0,0,0,2200000,2200000,27,27,49,49,2.4,2.4,100000
total time: 11.48 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:48:26 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 26 秒 (日本時間)

136×10150-19

c135

name 名前Serge Batalov
date 日付December 11, 2014 01:34:19 UTC 2014 年 12 月 11 日 (木) 10 時 34 分 19 秒 (日本時間)
composite number 合成数
220175890595430024395804281184504399754329822072661533438434058600281194618123349603652940293922301022370285302874270315688621492313483<135>
prime factors 素因数
129229654249954546084721957002713289367<39>
1703756710279269874383090461344402022133588865330868423672494297165093695892295615381274680053549<97>
factorization results 素因数分解の結果
Input number is 220175890595430024395804281184504399754329822072661533438434058600281194618123349603652940293922301022370285302874270315688621492313483 (135 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2912791614
Step 1 took 7718ms
Step 2 took 6351ms
********** Factor found in step 2: 129229654249954546084721957002713289367
Found probable prime factor of 39 digits: 129229654249954546084721957002713289367
Probable prime cofactor 1703756710279269874383090461344402022133588865330868423672494297165093695892295615381274680053549 has 97 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:48:27 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 27 秒 (日本時間)

136×10158-19

c160

name 名前Erik Branger
date 日付December 9, 2014 07:45:07 UTC 2014 年 12 月 9 日 (火) 16 時 45 分 7 秒 (日本時間)
composite number 合成数
1511111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<160>
prime factors 素因数
23035560517987976031340766179583703355803321687579623524913437<62>
65599059763755989197752662189802724449685921700105244262957198428359916233820891175378185285508403<98>
factorization results 素因数分解の結果
Number: 15111_158
N = 1511111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 (160 digits)
SNFS difficulty: 161 digits.
Divisors found:
r1=23035560517987976031340766179583703355803321687579623524913437 (pp62)
r2=65599059763755989197752662189802724449685921700105244262957198428359916233820891175378185285508403 (pp98)
Version: Msieve v. 1.51 (SVN 845)
Total time: 15.37 hours.
Factorization parameters were as follows:
n: 1511111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
m: 20000000000000000000000000000000
deg: 5
c5: 4250
c0: -1
skew: 0.19
# Murphy_E = 5.358e-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
Sieved rational special-q in [0, 0)
Total raw relations: 9482266
Relations: 1028338 relations
Pruned matrix : 598629 x 598856
Polynomial selection time: 0.00 hours.
Total sieving time: 15.01 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.27 hours.
time per square root: 0.04 hours.
Prototype def-par.txt line would be: snfs,161,5,0,0,0,0,0,0,0,0,3300000,3300000,27,27,51,51,2.4,2.4,100000
total time: 15.37 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 8, 2014 19:27:26 UTC 2014 年 12 月 9 日 (火) 4 時 27 分 26 秒 (日本時間)

136×10159-19

c110

name 名前Cyp
date 日付December 11, 2014 01:30:36 UTC 2014 年 12 月 11 日 (木) 10 時 30 分 36 秒 (日本時間)
composite number 合成数
10406050151940027438437824736996506608840126814095308932625998875414236432358382053708692629258612218194940167<110>
prime factors 素因数
669391444381010712187735783461084946379386142643085709<54>
15545538024559828291379770478117032274848684439876654563<56>
factorization results 素因数分解の結果
12/11/14 00:57:51 v1.34.3, 
12/11/14 00:57:51 v1.34.3, ****************************
12/11/14 00:57:51 v1.34.3, Starting factorization of 10406050151940027438437824736996506608840126814095308932625998875414236432358382053708692629258612218194940167
12/11/14 00:57:51 v1.34.3, using pretesting plan: none
12/11/14 00:57:51 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/11/14 00:57:51 v1.34.3, ****************************
12/11/14 00:57:51 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C110
12/11/14 00:57:51 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C110
12/11/14 00:57:51 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C110
12/11/14 00:57:51 v1.34.3, final ECM pretested depth: 0.00
12/11/14 00:57:51 v1.34.3, scheduler: switching to sieve method
12/11/14 00:57:51 v1.34.3, nfs: commencing nfs on c110: 10406050151940027438437824736996506608840126814095308932625998875414236432358382053708692629258612218194940167
12/11/14 00:57:51 v1.34.3, nfs: commencing poly selection with 8 threads
12/11/14 00:57:51 v1.34.3, nfs: setting deadline of 423 seconds
12/11/14 01:05:00 v1.34.3, nfs: completed 186 ranges of size 250 in 429.7464 seconds
12/11/14 01:05:00 v1.34.3, nfs: best poly = # norm 2.120827e-10 alpha -6.463902 e 1.031e-09 rroots 3
12/11/14 01:05:00 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/11/14 01:10:12 v1.34.3, nfs: commencing lattice sieving with 8 threads
[9 lines snipped]
12/11/14 02:01:55 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/11/14 02:07:25 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/11/14 02:12:57 v1.34.3, nfs: commencing msieve filtering
12/11/14 02:13:43 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/11/14 02:19:01 v1.34.3, nfs: commencing msieve filtering
12/11/14 02:19:50 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/11/14 02:25:01 v1.34.3, nfs: commencing msieve filtering
12/11/14 02:26:06 v1.34.3, nfs: commencing msieve linear algebra
12/11/14 02:29:51 v1.34.3, nfs: commencing msieve sqrt
12/11/14 02:30:35 v1.34.3, prp56 = 15545538024559828291379770478117032274848684439876654563
12/11/14 02:30:35 v1.34.3, prp54 = 669391444381010712187735783461084946379386142643085709
12/11/14 02:30:35 v1.34.3, NFS elapsed time = 5564.3791 seconds.
12/11/14 02:30:35 v1.34.3, 
12/11/14 02:30:35 v1.34.3, 
12/11/14 02:30:35 v1.34.3, Total factoring time = 5564.4014 seconds
--
Thu Dec 11 02:12:57 2014  
Thu Dec 11 02:12:57 2014  commencing relation filtering
Thu Dec 11 02:12:57 2014  estimated available RAM is 15987.3 MB
Thu Dec 11 02:12:57 2014  commencing duplicate removal, pass 1
Thu Dec 11 02:13:12 2014  found 447787 hash collisions in 4814263 relations
Thu Dec 11 02:13:17 2014  added 32620 free relations
Thu Dec 11 02:13:17 2014  commencing duplicate removal, pass 2
Thu Dec 11 02:13:21 2014  found 177597 duplicates and 4669286 unique relations
Thu Dec 11 02:13:21 2014  memory use: 20.6 MB
Thu Dec 11 02:13:21 2014  reading ideals above 100000
Thu Dec 11 02:13:21 2014  commencing singleton removal, initial pass
Thu Dec 11 02:13:41 2014  memory use: 172.2 MB
Thu Dec 11 02:13:41 2014  reading all ideals from disk
Thu Dec 11 02:13:41 2014  memory use: 155.7 MB
Thu Dec 11 02:13:41 2014  keeping 5475232 ideals with weight <= 200, target excess is 25064
Thu Dec 11 02:13:41 2014  commencing in-memory singleton removal
Thu Dec 11 02:13:41 2014  begin with 4669286 relations and 5475232 unique ideals
Thu Dec 11 02:13:43 2014  reduce to 1162918 relations and 1253147 ideals in 30 passes
Thu Dec 11 02:13:43 2014  max relations containing the same ideal: 74
Thu Dec 11 02:19:01 2014  
Thu Dec 11 02:19:01 2014  commencing relation filtering
Thu Dec 11 02:19:01 2014  estimated available RAM is 15987.3 MB
Thu Dec 11 02:19:01 2014  commencing duplicate removal, pass 1
Thu Dec 11 02:19:17 2014  found 515792 hash collisions in 5217144 relations
Thu Dec 11 02:19:22 2014  added 78 free relations
Thu Dec 11 02:19:22 2014  commencing duplicate removal, pass 2
Thu Dec 11 02:19:26 2014  found 204161 duplicates and 5013061 unique relations
Thu Dec 11 02:19:26 2014  memory use: 20.6 MB
Thu Dec 11 02:19:26 2014  reading ideals above 100000
Thu Dec 11 02:19:26 2014  commencing singleton removal, initial pass
Thu Dec 11 02:19:47 2014  memory use: 172.2 MB
Thu Dec 11 02:19:48 2014  reading all ideals from disk
Thu Dec 11 02:19:48 2014  memory use: 167.2 MB
Thu Dec 11 02:19:48 2014  keeping 5631799 ideals with weight <= 200, target excess is 26410
Thu Dec 11 02:19:48 2014  commencing in-memory singleton removal
Thu Dec 11 02:19:49 2014  begin with 5013061 relations and 5631799 unique ideals
Thu Dec 11 02:19:50 2014  reduce to 1663249 relations and 1653953 ideals in 21 passes
Thu Dec 11 02:19:50 2014  max relations containing the same ideal: 97
Thu Dec 11 02:25:01 2014  
Thu Dec 11 02:25:01 2014  commencing relation filtering
Thu Dec 11 02:25:01 2014  estimated available RAM is 15987.3 MB
Thu Dec 11 02:25:01 2014  commencing duplicate removal, pass 1
Thu Dec 11 02:25:19 2014  found 582782 hash collisions in 5584928 relations
Thu Dec 11 02:25:24 2014  added 57 free relations
Thu Dec 11 02:25:24 2014  commencing duplicate removal, pass 2
Thu Dec 11 02:25:28 2014  found 231641 duplicates and 5353344 unique relations
Thu Dec 11 02:25:28 2014  memory use: 20.6 MB
Thu Dec 11 02:25:28 2014  reading ideals above 100000
Thu Dec 11 02:25:28 2014  commencing singleton removal, initial pass
Thu Dec 11 02:25:51 2014  memory use: 172.2 MB
Thu Dec 11 02:25:52 2014  reading all ideals from disk
Thu Dec 11 02:25:52 2014  memory use: 178.6 MB
Thu Dec 11 02:25:52 2014  keeping 5774721 ideals with weight <= 200, target excess is 27971
Thu Dec 11 02:25:52 2014  commencing in-memory singleton removal
Thu Dec 11 02:25:52 2014  begin with 5353344 relations and 5774721 unique ideals
Thu Dec 11 02:25:54 2014  reduce to 2132343 relations and 1999143 ideals in 20 passes
Thu Dec 11 02:25:54 2014  max relations containing the same ideal: 111
Thu Dec 11 02:25:55 2014  removing 386026 relations and 335649 ideals in 50377 cliques
Thu Dec 11 02:25:55 2014  commencing in-memory singleton removal
Thu Dec 11 02:25:55 2014  begin with 1746317 relations and 1999143 unique ideals
Thu Dec 11 02:25:55 2014  reduce to 1687474 relations and 1602761 ideals in 9 passes
Thu Dec 11 02:25:55 2014  max relations containing the same ideal: 98
Thu Dec 11 02:25:55 2014  removing 290589 relations and 240212 ideals in 50377 cliques
Thu Dec 11 02:25:55 2014  commencing in-memory singleton removal
Thu Dec 11 02:25:56 2014  begin with 1396885 relations and 1602761 unique ideals
Thu Dec 11 02:25:56 2014  reduce to 1353040 relations and 1317325 ideals in 9 passes
Thu Dec 11 02:25:56 2014  max relations containing the same ideal: 81
Thu Dec 11 02:25:56 2014  relations with 0 large ideals: 74
Thu Dec 11 02:25:56 2014  relations with 1 large ideals: 188
Thu Dec 11 02:25:56 2014  relations with 2 large ideals: 3266
Thu Dec 11 02:25:56 2014  relations with 3 large ideals: 27231
Thu Dec 11 02:25:56 2014  relations with 4 large ideals: 118514
Thu Dec 11 02:25:56 2014  relations with 5 large ideals: 287357
Thu Dec 11 02:25:56 2014  relations with 6 large ideals: 403221
Thu Dec 11 02:25:56 2014  relations with 7+ large ideals: 513189
Thu Dec 11 02:25:56 2014  commencing 2-way merge
Thu Dec 11 02:25:57 2014  reduce to 769970 relation sets and 734257 unique ideals
Thu Dec 11 02:25:57 2014  ignored 2 oversize relation sets
Thu Dec 11 02:25:57 2014  commencing full merge
Thu Dec 11 02:26:03 2014  memory use: 82.4 MB
Thu Dec 11 02:26:03 2014  found 377004 cycles, need 370457
Thu Dec 11 02:26:03 2014  weight of 370457 cycles is about 26129547 (70.53/cycle)
Thu Dec 11 02:26:03 2014  distribution of cycle lengths:
Thu Dec 11 02:26:03 2014  1 relations: 41601
Thu Dec 11 02:26:03 2014  2 relations: 40479
Thu Dec 11 02:26:03 2014  3 relations: 40713
Thu Dec 11 02:26:03 2014  4 relations: 36925
Thu Dec 11 02:26:03 2014  5 relations: 34383
Thu Dec 11 02:26:03 2014  6 relations: 29415
Thu Dec 11 02:26:03 2014  7 relations: 26222
Thu Dec 11 02:26:03 2014  8 relations: 23112
Thu Dec 11 02:26:03 2014  9 relations: 19901
Thu Dec 11 02:26:03 2014  10+ relations: 77706
Thu Dec 11 02:26:03 2014  heaviest cycle: 22 relations
Thu Dec 11 02:26:03 2014  commencing cycle optimization
Thu Dec 11 02:26:03 2014  start with 2284286 relations
Thu Dec 11 02:26:05 2014  pruned 47337 relations
Thu Dec 11 02:26:05 2014  memory use: 76.9 MB
Thu Dec 11 02:26:05 2014  distribution of cycle lengths:
Thu Dec 11 02:26:05 2014  1 relations: 41601
Thu Dec 11 02:26:05 2014  2 relations: 41249
Thu Dec 11 02:26:05 2014  3 relations: 41930
Thu Dec 11 02:26:05 2014  4 relations: 37720
Thu Dec 11 02:26:05 2014  5 relations: 34994
Thu Dec 11 02:26:05 2014  6 relations: 29869
Thu Dec 11 02:26:05 2014  7 relations: 26606
Thu Dec 11 02:26:05 2014  8 relations: 23147
Thu Dec 11 02:26:05 2014  9 relations: 19801
Thu Dec 11 02:26:05 2014  10+ relations: 73540
Thu Dec 11 02:26:05 2014  heaviest cycle: 22 relations
Thu Dec 11 02:26:06 2014  RelProcTime: 65
Thu Dec 11 02:26:06 2014  
Thu Dec 11 02:26:06 2014  commencing linear algebra
Thu Dec 11 02:26:06 2014  read 370457 cycles
Thu Dec 11 02:26:06 2014  cycles contain 1294261 unique relations
Thu Dec 11 02:26:13 2014  read 1294261 relations
Thu Dec 11 02:26:13 2014  using 20 quadratic characters above 67108512
Thu Dec 11 02:26:17 2014  building initial matrix
Thu Dec 11 02:26:24 2014  memory use: 162.4 MB
Thu Dec 11 02:26:24 2014  read 370457 cycles
Thu Dec 11 02:26:24 2014  matrix is 370280 x 370457 (112.5 MB) with weight 35332193 (95.37/col)
Thu Dec 11 02:26:24 2014  sparse part has weight 25058756 (67.64/col)
Thu Dec 11 02:26:25 2014  filtering completed in 2 passes
Thu Dec 11 02:26:25 2014  matrix is 369371 x 369548 (112.5 MB) with weight 35290971 (95.50/col)
Thu Dec 11 02:26:25 2014  sparse part has weight 25044194 (67.77/col)
Thu Dec 11 02:26:26 2014  matrix starts at (0, 0)
Thu Dec 11 02:26:26 2014  matrix is 369371 x 369548 (112.5 MB) with weight 35290971 (95.50/col)
Thu Dec 11 02:26:26 2014  sparse part has weight 25044194 (67.77/col)
Thu Dec 11 02:26:26 2014  saving the first 48 matrix rows for later
Thu Dec 11 02:26:26 2014  matrix includes 64 packed rows
Thu Dec 11 02:26:26 2014  matrix is 369323 x 369548 (107.6 MB) with weight 28221655 (76.37/col)
Thu Dec 11 02:26:26 2014  sparse part has weight 24520265 (66.35/col)
Thu Dec 11 02:26:26 2014  using block size 65536 for processor cache size 8192 kB
Thu Dec 11 02:26:27 2014  commencing Lanczos iteration (8 threads)
Thu Dec 11 02:26:27 2014  memory use: 101.3 MB
Thu Dec 11 02:26:34 2014  linear algebra at 3.3%, ETA 0h 3m
Thu Dec 11 02:29:50 2014  lanczos halted after 5842 iterations (dim = 369321)
Thu Dec 11 02:29:51 2014  recovered 31 nontrivial dependencies
Thu Dec 11 02:29:51 2014  BLanczosTime: 225
Thu Dec 11 02:29:51 2014  
Thu Dec 11 02:29:51 2014  commencing square root phase
Thu Dec 11 02:29:51 2014  reading relations for dependency 1
Thu Dec 11 02:29:51 2014  read 184901 cycles
Thu Dec 11 02:29:51 2014  cycles contain 647580 unique relations
Thu Dec 11 02:29:56 2014  read 647580 relations
Thu Dec 11 02:29:57 2014  multiplying 647580 relations
Thu Dec 11 02:30:13 2014  multiply complete, coefficients have about 26.14 million bits
Thu Dec 11 02:30:14 2014  initial square root is modulo 32076797
Thu Dec 11 02:30:35 2014  sqrtTime: 44
--
n: 10406050151940027438437824736996506608840126814095308932625998875414236432358382053708692629258612218194940167
skew: 102524.72
c0: 1703707676767153976290875
c1: 330602332661573876929125
c2: 3909674791965196598
c3: -53072402387303
c4: -270559275
c5: 2376
Y0: -1343655516873301042642
Y1: 5971937207
rlim: 3200000
alim: 3200000
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
351e6418118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosDecember 8, 2014 18:23:12 UTC 2014 年 12 月 9 日 (火) 3 時 23 分 12 秒 (日本時間)
403e6110 / 2126Ignacio SantosDecember 8, 2014 18:23:12 UTC 2014 年 12 月 9 日 (火) 3 時 23 分 12 秒 (日本時間)
4511e632 / 4437Ignacio SantosDecember 8, 2014 18:23:12 UTC 2014 年 12 月 9 日 (火) 3 時 23 分 12 秒 (日本時間)

136×10160-19

c148

name 名前Jo Yeong Uk
date 日付December 28, 2014 22:01:11 UTC 2014 年 12 月 29 日 (月) 7 時 1 分 11 秒 (日本時間)
composite number 合成数
2251759369781264563895644828336110072238903651207829349784456275292371022715179492910861657649892943942446782722335542028070923152303783440047214321<148>
prime factors 素因数
815264172329014752317644443882344043074787613272421<51>
2761999663677758095629020225623987002223846000480053178568439273895221562703140971974251241503901<97>
factorization results 素因数分解の結果
Number: 15111_160
N=2251759369781264563895644828336110072238903651207829349784456275292371022715179492910861657649892943942446782722335542028070923152303783440047214321
  ( 148 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=815264172329014752317644443882344043074787613272421
 r2=2761999663677758095629020225623987002223846000480053178568439273895221562703140971974251241503901
Version: 
Total time: 8.95 hours.
Scaled time: 46.68 units (timescale=5.215).
Factorization parameters were as follows:
n: 2251759369781264563895644828336110072238903651207829349784456275292371022715179492910861657649892943942446782722335542028070923152303783440047214321
m: 200000000000000000000000000000000
deg: 5
c5: 17
c0: -4
skew: 0.75
# Murphy_E = 5.583e-10
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1500000, 2800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 8914974
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 639712 x 639960
Total sieving time: 8.05 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 0.40 hours.
Time per square root: 0.23 hours.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,51,51,2.4,2.4,100000
total time: 8.95 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 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:48:27 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 27 秒 (日本時間)

136×10161-19

c156

name 名前Serge Batalov
date 日付December 17, 2014 22:22:25 UTC 2014 年 12 月 18 日 (木) 7 時 22 分 25 秒 (日本時間)
composite number 合成数
812111399470371996583638427463314509665946932938886049484694417110327304182475221197349578905310856239502639093334948001880515602361834920324407452770198569<156>
prime factors 素因数
1385095309097239756966431262436537447<37>
586321673415874820175661629065326778885907378209240188640251191846394809916998595011070932916157921606281348037164812527<120>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3093424031
Step 1 took 10976ms
Step 2 took 8443ms
********** Factor found in step 2: 1385095309097239756966431262436537447
Found probable prime factor of 37 digits: 1385095309097239756966431262436537447
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:48:28 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 28 秒 (日本時間)

136×10163-19

c109

name 名前Ignacio Santos
date 日付December 8, 2014 17:48:19 UTC 2014 年 12 月 9 日 (火) 2 時 48 分 19 秒 (日本時間)
composite number 合成数
7609066505814931765114288302666743930394765900797891478240465127182492082432244329624045913575170494194046227<109>
prime factors 素因数
34115485356391862397849724248989<32>
223038494874858944266805777059696819079553374507357101632441678629331771487343<78>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:2811049463
Step 1 took 1437ms
********** Factor found in step 1: 34115485356391862397849724248989
Found probable prime factor of 32 digits: 34115485356391862397849724248989
Probable prime cofactor 223038494874858944266805777059696819079553374507357101632441678629331771487343 has 78 digits
software ソフトウェア
GMP-ECM 7.0

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

136×10168-19

c169

name 名前Dmitry Domanov
date 日付December 12, 2014 06:48:58 UTC 2014 年 12 月 12 日 (金) 15 時 48 分 58 秒 (日本時間)
composite number 合成数
5037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037<169>
prime factors 素因数
451354916502144287425274804300653673501646441922228669<54>
11159814267832634072202736652445635944211688586976619188828775100075171263826485297272697154372129631423694935461873<116>
factorization results 素因数分解の結果
N=5037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037
  ( 169 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=451354916502144287425274804300653673501646441922228669 (pp54)
 r2=11159814267832634072202736652445635944211688586976619188828775100075171263826485297272697154372129631423694935461873 (pp116)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 52.77 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 5037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037
m: 2000000000000000000000000000000000
deg: 5
c5: 4250
c0: -1
skew: 0.19
# Murphy_E = 2.175e-10
type: snfs
lss: 1
rlim: 4800000
alim: 4800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2400000, 5300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 934061 x 934292
Total sieving time: 51.52 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.92 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,170.000,5,0,0,0,0,0,0,0,0,4800000,4800000,27,27,52,52,2.4,2.4,100000
total time: 52.77 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 8, 2014 19:27:28 UTC 2014 年 12 月 9 日 (火) 4 時 27 分 28 秒 (日本時間)

136×10172-19

c158

name 名前Jo Yeong Uk
date 日付May 2, 2015 14:25:00 UTC 2015 年 5 月 2 日 (土) 23 時 25 分 0 秒 (日本時間)
composite number 合成数
25729038109219118395906387327094430075954228417253664269081137169959831360250554580150629174944467625272967650045303637307263401532678524332494306085027734141<158>
prime factors 素因数
289313392138349056377861006174409549271778933149393142334448618657<66>
88931376176722391127584775121364112825601206259858161908988374799088004652695597164897438813<92>
factorization results 素因数分解の結果
Number: 15111_172
N=25729038109219118395906387327094430075954228417253664269081137169959831360250554580150629174944467625272967650045303637307263401532678524332494306085027734141
  ( 158 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=289313392138349056377861006174409549271778933149393142334448618657
 r2=88931376176722391127584775121364112825601206259858161908988374799088004652695597164897438813
Version: 
Total time: 26.52 hours.
Scaled time: 138.04 units (timescale=5.206).
Factorization parameters were as follows:
n: 25729038109219118395906387327094430075954228417253664269081137169959831360250554580150629174944467625272967650045303637307263401532678524332494306085027734141
m: 20000000000000000000000000000000000
deg: 5
c5: 425
c0: -1
skew: 0.30
# Murphy_E = 1.782e-10
type: snfs
lss: 1
rlim: 6400000
alim: 6400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4

Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [3200000, 6500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 11318967
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1056336 x 1056584
Total sieving time: 24.07 hours.
Total relation processing time: 0.92 hours.
Matrix solve time: 1.24 hours.
Time per square root: 0.29 hours.
Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,6400000,6400000,27,27,52,52,2.4,2.4,100000
total time: 26.52 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 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62630280CypDecember 10, 2014 07:40:26 UTC 2014 年 12 月 10 日 (水) 16 時 40 分 26 秒 (日本時間)
2350Ignacio SantosMarch 6, 2015 22:33:23 UTC 2015 年 3 月 7 日 (土) 7 時 33 分 23 秒 (日本時間)

136×10173-19

c112

name 名前Cyp
date 日付December 12, 2014 02:09:16 UTC 2014 年 12 月 12 日 (金) 11 時 9 分 16 秒 (日本時間)
composite number 合成数
1577506762685210984451972648843413798528926929939592708499420414715584687078226318479802751949726153061543860279<112>
prime factors 素因数
425385627707184935116223673694004877084758147<45>
3708415752520653997370889456997387296647401343738299120434713469757<67>
factorization results 素因数分解の結果
12/12/14 00:52:04 v1.34.3, 
12/12/14 00:52:04 v1.34.3, ****************************
12/12/14 00:52:04 v1.34.3, Starting factorization of 1577506762685210984451972648843413798528926929939592708499420414715584687078226318479802751949726153061543860279
12/12/14 00:52:04 v1.34.3, using pretesting plan: none
12/12/14 00:52:04 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/12/14 00:52:04 v1.34.3, ****************************
12/12/14 00:52:04 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C112
12/12/14 00:52:04 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C112
12/12/14 00:52:04 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C112
12/12/14 00:52:04 v1.34.3, final ECM pretested depth: 0.00
12/12/14 00:52:04 v1.34.3, scheduler: switching to sieve method
12/12/14 00:52:04 v1.34.3, nfs: commencing nfs on c112: 1577506762685210984451972648843413798528926929939592708499420414715584687078226318479802751949726153061543860279
12/12/14 00:52:04 v1.34.3, nfs: commencing poly selection with 8 threads
12/12/14 00:52:04 v1.34.3, nfs: setting deadline of 575 seconds
12/12/14 01:01:39 v1.34.3, nfs: completed 151 ranges of size 250 in 575.2576 seconds
12/12/14 01:01:39 v1.34.3, nfs: best poly = # norm 1.414678e-10 alpha -6.144762 e 8.469e-10 rroots 5
12/12/14 01:01:39 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/12/14 01:06:46 v1.34.3, nfs: commencing lattice sieving with 8 threads
[13 lines snipped]
12/12/14 02:17:41 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/12/14 02:22:46 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/12/14 02:28:11 v1.34.3, nfs: commencing msieve filtering
12/12/14 02:28:53 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/12/14 02:34:18 v1.34.3, nfs: commencing msieve filtering
12/12/14 02:35:05 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/12/14 02:40:21 v1.34.3, nfs: commencing msieve filtering
12/12/14 02:41:09 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/12/14 02:46:25 v1.34.3, nfs: commencing msieve filtering
12/12/14 02:47:15 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/12/14 02:52:27 v1.34.3, nfs: commencing msieve filtering
12/12/14 02:53:38 v1.34.3, nfs: commencing msieve linear algebra
12/12/14 02:59:59 v1.34.3, nfs: commencing msieve sqrt
12/12/14 03:09:15 v1.34.3, prp45 = 425385627707184935116223673694004877084758147
12/12/14 03:09:15 v1.34.3, prp67 = 3708415752520653997370889456997387296647401343738299120434713469757
12/12/14 03:09:15 v1.34.3, NFS elapsed time = 8230.8882 seconds.
12/12/14 03:09:15 v1.34.3, 
12/12/14 03:09:15 v1.34.3, 
12/12/14 03:09:15 v1.34.3, Total factoring time = 8230.9104 seconds
--
Fri Dec 12 02:28:11 2014  
Fri Dec 12 02:28:11 2014  commencing relation filtering
Fri Dec 12 02:28:11 2014  estimated available RAM is 15987.3 MB
Fri Dec 12 02:28:11 2014  commencing duplicate removal, pass 1
Fri Dec 12 02:28:25 2014  found 428088 hash collisions in 4565962 relations
Fri Dec 12 02:28:29 2014  added 32953 free relations
Fri Dec 12 02:28:29 2014  commencing duplicate removal, pass 2
Fri Dec 12 02:28:33 2014  found 189691 duplicates and 4409224 unique relations
Fri Dec 12 02:28:33 2014  memory use: 20.6 MB
Fri Dec 12 02:28:33 2014  reading ideals above 100000
Fri Dec 12 02:28:33 2014  commencing singleton removal, initial pass
Fri Dec 12 02:28:52 2014  memory use: 172.2 MB
Fri Dec 12 02:28:52 2014  reading all ideals from disk
Fri Dec 12 02:28:52 2014  memory use: 150.5 MB
Fri Dec 12 02:28:52 2014  keeping 5437734 ideals with weight <= 200, target excess is 24238
Fri Dec 12 02:28:52 2014  commencing in-memory singleton removal
Fri Dec 12 02:28:52 2014  begin with 4409224 relations and 5437734 unique ideals
Fri Dec 12 02:28:53 2014  reduce to 72 relations and 0 ideals in 22 passes
Fri Dec 12 02:28:53 2014  max relations containing the same ideal: 0
Fri Dec 12 02:34:18 2014  
Fri Dec 12 02:34:18 2014  commencing relation filtering
Fri Dec 12 02:34:18 2014  estimated available RAM is 15987.3 MB
Fri Dec 12 02:34:18 2014  commencing duplicate removal, pass 1
Fri Dec 12 02:34:33 2014  found 478809 hash collisions in 4868561 relations
Fri Dec 12 02:34:38 2014  added 63 free relations
Fri Dec 12 02:34:38 2014  commencing duplicate removal, pass 2
Fri Dec 12 02:34:42 2014  found 211144 duplicates and 4657480 unique relations
Fri Dec 12 02:34:42 2014  memory use: 20.6 MB
Fri Dec 12 02:34:42 2014  reading ideals above 100000
Fri Dec 12 02:34:42 2014  commencing singleton removal, initial pass
Fri Dec 12 02:35:02 2014  memory use: 172.2 MB
Fri Dec 12 02:35:02 2014  reading all ideals from disk
Fri Dec 12 02:35:02 2014  memory use: 159.0 MB
Fri Dec 12 02:35:02 2014  keeping 5559297 ideals with weight <= 200, target excess is 25142
Fri Dec 12 02:35:02 2014  commencing in-memory singleton removal
Fri Dec 12 02:35:02 2014  begin with 4657480 relations and 5559297 unique ideals
Fri Dec 12 02:35:05 2014  reduce to 970461 relations and 1133055 ideals in 59 passes
Fri Dec 12 02:35:05 2014  max relations containing the same ideal: 66
Fri Dec 12 02:40:21 2014  
Fri Dec 12 02:40:21 2014  commencing relation filtering
Fri Dec 12 02:40:21 2014  estimated available RAM is 15987.3 MB
Fri Dec 12 02:40:21 2014  commencing duplicate removal, pass 1
Fri Dec 12 02:40:37 2014  found 526859 hash collisions in 5134145 relations
Fri Dec 12 02:40:42 2014  added 42 free relations
Fri Dec 12 02:40:42 2014  commencing duplicate removal, pass 2
Fri Dec 12 02:40:46 2014  found 232951 duplicates and 4901236 unique relations
Fri Dec 12 02:40:46 2014  memory use: 20.6 MB
Fri Dec 12 02:40:46 2014  reading ideals above 100000
Fri Dec 12 02:40:46 2014  commencing singleton removal, initial pass
Fri Dec 12 02:41:07 2014  memory use: 172.2 MB
Fri Dec 12 02:41:07 2014  reading all ideals from disk
Fri Dec 12 02:41:07 2014  memory use: 167.4 MB
Fri Dec 12 02:41:07 2014  keeping 5671392 ideals with weight <= 200, target excess is 26089
Fri Dec 12 02:41:07 2014  commencing in-memory singleton removal
Fri Dec 12 02:41:07 2014  begin with 4901236 relations and 5671392 unique ideals
Fri Dec 12 02:41:09 2014  reduce to 1395125 relations and 1497873 ideals in 24 passes
Fri Dec 12 02:41:09 2014  max relations containing the same ideal: 87
Fri Dec 12 02:46:25 2014  
Fri Dec 12 02:46:25 2014  commencing relation filtering
Fri Dec 12 02:46:25 2014  estimated available RAM is 15987.3 MB
Fri Dec 12 02:46:25 2014  commencing duplicate removal, pass 1
Fri Dec 12 02:46:42 2014  found 578343 hash collisions in 5410666 relations
Fri Dec 12 02:46:47 2014  added 40 free relations
Fri Dec 12 02:46:47 2014  commencing duplicate removal, pass 2
Fri Dec 12 02:46:51 2014  found 256643 duplicates and 5154063 unique relations
Fri Dec 12 02:46:51 2014  memory use: 20.6 MB
Fri Dec 12 02:46:51 2014  reading ideals above 100000
Fri Dec 12 02:46:51 2014  commencing singleton removal, initial pass
Fri Dec 12 02:47:13 2014  memory use: 172.2 MB
Fri Dec 12 02:47:13 2014  reading all ideals from disk
Fri Dec 12 02:47:13 2014  memory use: 176.1 MB
Fri Dec 12 02:47:13 2014  keeping 5780879 ideals with weight <= 200, target excess is 27190
Fri Dec 12 02:47:14 2014  commencing in-memory singleton removal
Fri Dec 12 02:47:14 2014  begin with 5154063 relations and 5780879 unique ideals
Fri Dec 12 02:47:15 2014  reduce to 1782306 relations and 1805652 ideals in 18 passes
Fri Dec 12 02:47:15 2014  max relations containing the same ideal: 96
Fri Dec 12 02:52:27 2014  
Fri Dec 12 02:52:27 2014  commencing relation filtering
Fri Dec 12 02:52:27 2014  estimated available RAM is 15987.3 MB
Fri Dec 12 02:52:27 2014  commencing duplicate removal, pass 1
Fri Dec 12 02:52:45 2014  found 631756 hash collisions in 5686236 relations
Fri Dec 12 02:52:50 2014  added 32 free relations
Fri Dec 12 02:52:50 2014  commencing duplicate removal, pass 2
Fri Dec 12 02:52:54 2014  found 281213 duplicates and 5405055 unique relations
Fri Dec 12 02:52:54 2014  memory use: 20.6 MB
Fri Dec 12 02:52:54 2014  reading ideals above 100000
Fri Dec 12 02:52:54 2014  commencing singleton removal, initial pass
Fri Dec 12 02:53:19 2014  memory use: 172.2 MB
Fri Dec 12 02:53:20 2014  reading all ideals from disk
Fri Dec 12 02:53:20 2014  memory use: 184.7 MB
Fri Dec 12 02:53:20 2014  keeping 5882787 ideals with weight <= 200, target excess is 28427
Fri Dec 12 02:53:20 2014  commencing in-memory singleton removal
Fri Dec 12 02:53:20 2014  begin with 5405055 relations and 5882787 unique ideals
Fri Dec 12 02:53:22 2014  reduce to 2148053 relations and 2078661 ideals in 19 passes
Fri Dec 12 02:53:22 2014  max relations containing the same ideal: 108
Fri Dec 12 02:53:23 2014  removing 209244 relations and 191036 ideals in 18208 cliques
Fri Dec 12 02:53:23 2014  commencing in-memory singleton removal
Fri Dec 12 02:53:23 2014  begin with 1938809 relations and 2078661 unique ideals
Fri Dec 12 02:53:23 2014  reduce to 1920968 relations and 1869554 ideals in 13 passes
Fri Dec 12 02:53:23 2014  max relations containing the same ideal: 101
Fri Dec 12 02:53:24 2014  removing 153644 relations and 135436 ideals in 18208 cliques
Fri Dec 12 02:53:24 2014  commencing in-memory singleton removal
Fri Dec 12 02:53:24 2014  begin with 1767324 relations and 1869554 unique ideals
Fri Dec 12 02:53:24 2014  reduce to 1756116 relations and 1722799 ideals in 9 passes
Fri Dec 12 02:53:24 2014  max relations containing the same ideal: 96
Fri Dec 12 02:53:25 2014  relations with 0 large ideals: 76
Fri Dec 12 02:53:25 2014  relations with 1 large ideals: 148
Fri Dec 12 02:53:25 2014  relations with 2 large ideals: 2265
Fri Dec 12 02:53:25 2014  relations with 3 large ideals: 22242
Fri Dec 12 02:53:25 2014  relations with 4 large ideals: 110443
Fri Dec 12 02:53:25 2014  relations with 5 large ideals: 307932
Fri Dec 12 02:53:25 2014  relations with 6 large ideals: 506410
Fri Dec 12 02:53:25 2014  relations with 7+ large ideals: 806600
Fri Dec 12 02:53:25 2014  commencing 2-way merge
Fri Dec 12 02:53:26 2014  reduce to 997017 relation sets and 963701 unique ideals
Fri Dec 12 02:53:26 2014  ignored 1 oversize relation sets
Fri Dec 12 02:53:26 2014  commencing full merge
Fri Dec 12 02:53:34 2014  memory use: 107.8 MB
Fri Dec 12 02:53:34 2014  found 483125 cycles, need 479901
Fri Dec 12 02:53:35 2014  weight of 479901 cycles is about 33794097 (70.42/cycle)
Fri Dec 12 02:53:35 2014  distribution of cycle lengths:
Fri Dec 12 02:53:35 2014  1 relations: 55301
Fri Dec 12 02:53:35 2014  2 relations: 54754
Fri Dec 12 02:53:35 2014  3 relations: 54472
Fri Dec 12 02:53:35 2014  4 relations: 48202
Fri Dec 12 02:53:35 2014  5 relations: 43163
Fri Dec 12 02:53:35 2014  6 relations: 36275
Fri Dec 12 02:53:35 2014  7 relations: 31608
Fri Dec 12 02:53:35 2014  8 relations: 27301
Fri Dec 12 02:53:35 2014  9 relations: 22923
Fri Dec 12 02:53:35 2014  10+ relations: 105902
Fri Dec 12 02:53:35 2014  heaviest cycle: 25 relations
Fri Dec 12 02:53:35 2014  commencing cycle optimization
Fri Dec 12 02:53:35 2014  start with 3045916 relations
Fri Dec 12 02:53:38 2014  pruned 62702 relations
Fri Dec 12 02:53:38 2014  memory use: 101.8 MB
Fri Dec 12 02:53:38 2014  distribution of cycle lengths:
Fri Dec 12 02:53:38 2014  1 relations: 55301
Fri Dec 12 02:53:38 2014  2 relations: 55982
Fri Dec 12 02:53:38 2014  3 relations: 56139
Fri Dec 12 02:53:38 2014  4 relations: 49120
Fri Dec 12 02:53:38 2014  5 relations: 43890
Fri Dec 12 02:53:38 2014  6 relations: 36665
Fri Dec 12 02:53:38 2014  7 relations: 31672
Fri Dec 12 02:53:38 2014  8 relations: 27043
Fri Dec 12 02:53:38 2014  9 relations: 22779
Fri Dec 12 02:53:38 2014  10+ relations: 101310
Fri Dec 12 02:53:38 2014  heaviest cycle: 25 relations
Fri Dec 12 02:53:38 2014  RelProcTime: 71
Fri Dec 12 02:53:38 2014  
Fri Dec 12 02:53:38 2014  commencing linear algebra
Fri Dec 12 02:53:38 2014  read 479901 cycles
Fri Dec 12 02:53:39 2014  cycles contain 1713701 unique relations
Fri Dec 12 02:53:46 2014  read 1713701 relations
Fri Dec 12 02:53:47 2014  using 20 quadratic characters above 67108730
Fri Dec 12 02:53:52 2014  building initial matrix
Fri Dec 12 02:54:03 2014  memory use: 213.7 MB
Fri Dec 12 02:54:03 2014  read 479901 cycles
Fri Dec 12 02:54:03 2014  matrix is 479730 x 479901 (146.3 MB) with weight 46449435 (96.79/col)
Fri Dec 12 02:54:03 2014  sparse part has weight 32603230 (67.94/col)
Fri Dec 12 02:54:05 2014  filtering completed in 2 passes
Fri Dec 12 02:54:05 2014  matrix is 479083 x 479259 (146.3 MB) with weight 46423237 (96.86/col)
Fri Dec 12 02:54:05 2014  sparse part has weight 32597005 (68.02/col)
Fri Dec 12 02:54:06 2014  matrix starts at (0, 0)
Fri Dec 12 02:54:06 2014  matrix is 479083 x 479259 (146.3 MB) with weight 46423237 (96.86/col)
Fri Dec 12 02:54:06 2014  sparse part has weight 32597005 (68.02/col)
Fri Dec 12 02:54:06 2014  saving the first 48 matrix rows for later
Fri Dec 12 02:54:06 2014  matrix includes 64 packed rows
Fri Dec 12 02:54:06 2014  matrix is 479035 x 479259 (140.6 MB) with weight 37097937 (77.41/col)
Fri Dec 12 02:54:06 2014  sparse part has weight 32068961 (66.91/col)
Fri Dec 12 02:54:06 2014  using block size 65536 for processor cache size 8192 kB
Fri Dec 12 02:54:08 2014  commencing Lanczos iteration (8 threads)
Fri Dec 12 02:54:08 2014  memory use: 134.2 MB
Fri Dec 12 02:54:16 2014  linear algebra at 2.5%, ETA 0h 5m
Fri Dec 12 02:59:59 2014  lanczos halted after 7577 iterations (dim = 479035)
Fri Dec 12 02:59:59 2014  recovered 33 nontrivial dependencies
Fri Dec 12 02:59:59 2014  BLanczosTime: 381
Fri Dec 12 02:59:59 2014  
Fri Dec 12 02:59:59 2014  commencing square root phase
Fri Dec 12 02:59:59 2014  reading relations for dependency 1
Fri Dec 12 03:00:00 2014  read 239176 cycles
Fri Dec 12 03:00:00 2014  cycles contain 856352 unique relations
Fri Dec 12 03:00:05 2014  read 856352 relations
Fri Dec 12 03:00:07 2014  multiplying 856352 relations
Fri Dec 12 03:00:33 2014  multiply complete, coefficients have about 37.14 million bits
Fri Dec 12 03:00:33 2014  initial square root is modulo 214987
Fri Dec 12 03:01:06 2014  GCD is N, no factor found
Fri Dec 12 03:01:06 2014  reading relations for dependency 2
Fri Dec 12 03:01:06 2014  read 239835 cycles
Fri Dec 12 03:01:07 2014  cycles contain 857474 unique relations
Fri Dec 12 03:01:12 2014  read 857474 relations
Fri Dec 12 03:01:14 2014  multiplying 857474 relations
Fri Dec 12 03:01:40 2014  multiply complete, coefficients have about 37.19 million bits
Fri Dec 12 03:01:41 2014  initial square root is modulo 218843
Fri Dec 12 03:02:16 2014  GCD is N, no factor found
Fri Dec 12 03:02:16 2014  reading relations for dependency 3
Fri Dec 12 03:02:16 2014  read 239567 cycles
Fri Dec 12 03:02:16 2014  cycles contain 858436 unique relations
Fri Dec 12 03:02:22 2014  read 858436 relations
Fri Dec 12 03:02:24 2014  multiplying 858436 relations
Fri Dec 12 03:02:50 2014  multiply complete, coefficients have about 37.23 million bits
Fri Dec 12 03:02:50 2014  initial square root is modulo 221951
Fri Dec 12 03:03:27 2014  GCD is 1, no factor found
Fri Dec 12 03:03:27 2014  reading relations for dependency 4
Fri Dec 12 03:03:27 2014  read 239338 cycles
Fri Dec 12 03:03:27 2014  cycles contain 855600 unique relations
Fri Dec 12 03:03:33 2014  read 855600 relations
Fri Dec 12 03:03:35 2014  multiplying 855600 relations
Fri Dec 12 03:04:03 2014  multiply complete, coefficients have about 37.10 million bits
Fri Dec 12 03:04:03 2014  initial square root is modulo 212851
Fri Dec 12 03:04:36 2014  GCD is N, no factor found
Fri Dec 12 03:04:36 2014  reading relations for dependency 5
Fri Dec 12 03:04:36 2014  read 239437 cycles
Fri Dec 12 03:04:37 2014  cycles contain 856054 unique relations
Fri Dec 12 03:04:42 2014  read 856054 relations
Fri Dec 12 03:04:44 2014  multiplying 856054 relations
Fri Dec 12 03:05:13 2014  multiply complete, coefficients have about 37.13 million bits
Fri Dec 12 03:05:13 2014  initial square root is modulo 214211
Fri Dec 12 03:05:46 2014  GCD is 1, no factor found
Fri Dec 12 03:05:46 2014  reading relations for dependency 6
Fri Dec 12 03:05:46 2014  read 239830 cycles
Fri Dec 12 03:05:46 2014  cycles contain 857490 unique relations
Fri Dec 12 03:05:52 2014  read 857490 relations
Fri Dec 12 03:05:54 2014  multiplying 857490 relations
Fri Dec 12 03:06:22 2014  multiply complete, coefficients have about 37.19 million bits
Fri Dec 12 03:06:22 2014  initial square root is modulo 218591
Fri Dec 12 03:06:55 2014  GCD is 1, no factor found
Fri Dec 12 03:06:55 2014  reading relations for dependency 7
Fri Dec 12 03:06:55 2014  read 239557 cycles
Fri Dec 12 03:06:56 2014  cycles contain 857226 unique relations
Fri Dec 12 03:07:01 2014  read 857226 relations
Fri Dec 12 03:07:03 2014  multiplying 857226 relations
Fri Dec 12 03:07:30 2014  multiply complete, coefficients have about 37.18 million bits
Fri Dec 12 03:07:30 2014  initial square root is modulo 217793
Fri Dec 12 03:08:05 2014  GCD is 1, no factor found
Fri Dec 12 03:08:05 2014  reading relations for dependency 8
Fri Dec 12 03:08:05 2014  read 239166 cycles
Fri Dec 12 03:08:06 2014  cycles contain 855076 unique relations
Fri Dec 12 03:08:11 2014  read 855076 relations
Fri Dec 12 03:08:13 2014  multiplying 855076 relations
Fri Dec 12 03:08:39 2014  multiply complete, coefficients have about 37.08 million bits
Fri Dec 12 03:08:39 2014  initial square root is modulo 211213
Fri Dec 12 03:09:15 2014  sqrtTime: 556
--
n: 1577506762685210984451972648843413798528926929939592708499420414715584687078226318479802751949726153061543860279
skew: 38484.65
c0: -342743391642218982241621025
c1: 60225351224994527635154
c2: 446414453405053275
c3: -98694581310212
c4: -547601188
c5: 20520
Y0: -2383190823310304097282
Y1: 44482847321
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
351e6418118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosDecember 8, 2014 22:32:50 UTC 2014 年 12 月 9 日 (火) 7 時 32 分 50 秒 (日本時間)
403e6110 / 2126Ignacio SantosDecember 8, 2014 22:32:50 UTC 2014 年 12 月 9 日 (火) 7 時 32 分 50 秒 (日本時間)
4511e632 / 4437Ignacio SantosDecember 8, 2014 22:32:50 UTC 2014 年 12 月 9 日 (火) 7 時 32 分 50 秒 (日本時間)

136×10174-19

c145

name 名前Jo Yeong Uk
date 日付May 15, 2015 23:07:46 UTC 2015 年 5 月 16 日 (土) 8 時 7 分 46 秒 (日本時間)
composite number 合成数
4181832090715711306014485265392833387503656423251718132166608382819568823254132474406177454135021626783231555892700625776807924241356397833901867<145>
prime factors 素因数
6880880595284803720273669417008705973971902982000656513<55>
607746644169549464587266188035848867237742905255413964405651965867610726566674971210105259<90>
factorization results 素因数分解の結果
Number: 15111_174
N=4181832090715711306014485265392833387503656423251718132166608382819568823254132474406177454135021626783231555892700625776807924241356397833901867
  ( 145 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=6880880595284803720273669417008705973971902982000656513
 r2=607746644169549464587266188035848867237742905255413964405651965867610726566674971210105259
Version: 
Total time: 31.46 hours.
Scaled time: 161.13 units (timescale=5.121).
Factorization parameters were as follows:
n: 4181832090715711306014485265392833387503656423251718132166608382819568823254132474406177454135021626783231555892700625776807924241356397833901867
m: 100000000000000000000000000000000000
deg: 5
c5: 68
c0: -5
skew: 0.59
# Murphy_E = 1.39e-10
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3700000, 7300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18081227
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1290567 x 1290815
Total sieving time: 27.83 hours.
Total relation processing time: 1.60 hours.
Matrix solve time: 1.87 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,53,53,2.5,2.5,100000
total time: 31.46 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.77 BogoMIPS (lpj=3399888)
Total of 12 processors activated (81597.31 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 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 8, 2014 21:01:02 UTC 2014 年 12 月 9 日 (火) 6 時 1 分 2 秒 (日本時間)
4511e6600 / 4413KTakahashiApril 29, 2015 00:23:08 UTC 2015 年 4 月 29 日 (水) 9 時 23 分 8 秒 (日本時間)

136×10175-19

c127

name 名前Jo Yeong Uk
date 日付May 25, 2015 07:59:31 UTC 2015 年 5 月 25 日 (月) 16 時 59 分 31 秒 (日本時間)
composite number 合成数
7180554055226430143614964235578896070292691403343832908892648602836169563956423066015267654606415963001971676071419690878225187<127>
prime factors 素因数
378925117789503259821392999153992696255161159613231<51>
18949796986578495005802512133334211618029243800917166827744677215198429094477<77>
factorization results 素因数分解の結果
Number: 15111_175
N=7180554055226430143614964235578896070292691403343832908892648602836169563956423066015267654606415963001971676071419690878225187
  ( 127 digits)
SNFS difficulty: 177 digits.
Divisors found:
 r1=378925117789503259821392999153992696255161159613231
 r2=18949796986578495005802512133334211618029243800917166827744677215198429094477
Version: 
Total time: 31.04 hours.
Scaled time: 163.11 units (timescale=5.254).
Factorization parameters were as follows:
n: 7180554055226430143614964235578896070292691403343832908892648602836169563956423066015267654606415963001971676071419690878225187
m: 200000000000000000000000000000000000
deg: 5
c5: 17
c0: -4
skew: 0.75
# Murphy_E = 1.422e-10
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5

Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3700000, 7200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18024266
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1298345 x 1298593
Total sieving time: 27.46 hours.
Total relation processing time: 1.56 hours.
Matrix solve time: 1.94 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,53,53,2.5,2.5,100000
total time: 31.04 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.. 6799.77 BogoMIPS (lpj=3399888)
Total of 12 processors activated (81597.31 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 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 9, 2014 13:09:29 UTC 2014 年 12 月 9 日 (火) 22 時 9 分 29 秒 (日本時間)
4511e6640 / 441360Pierre JammesDecember 19, 2014 08:08:05 UTC 2014 年 12 月 19 日 (金) 17 時 8 分 5 秒 (日本時間)
580Pierre JammesDecember 20, 2014 07:28:23 UTC 2014 年 12 月 20 日 (土) 16 時 28 分 23 秒 (日本時間)

136×10176-19

c157

name 名前Jo Yeong Uk
date 日付September 30, 2015 10:54:08 UTC 2015 年 9 月 30 日 (水) 19 時 54 分 8 秒 (日本時間)
composite number 合成数
5191079055517426804469335924143915321849418392404786445491982433400023069480951077346776956440130528887270739128656643771889612455643835675054719198621703043<157>
prime factors 素因数
2149037465386172018062310662651147026204338456958075436737876831675719<70>
2415536787575089617391901793658497202908828950807288577580387387271913568628559775245797<88>
factorization results 素因数分解の結果
Number: 15111_176
N=5191079055517426804469335924143915321849418392404786445491982433400023069480951077346776956440130528887270739128656643771889612455643835675054719198621703043
  ( 157 digits)
SNFS difficulty: 178 digits.
Divisors found:
 r1=2149037465386172018062310662651147026204338456958075436737876831675719
 r2=2415536787575089617391901793658497202908828950807288577580387387271913568628559775245797
Version: 
Total time: 35.23 hours.
Scaled time: 184.36 units (timescale=5.233).
Factorization parameters were as follows:
n: 5191079055517426804469335924143915321849418392404786445491982433400023069480951077346776956440130528887270739128656643771889612455643835675054719198621703043
m: 200000000000000000000000000000000000
deg: 5
c5: 85
c0: -2
skew: 0.47
# Murphy_E = 1.245e-10
type: snfs
lss: 1
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [4000000, 7900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18334925
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1352912 x 1353160
Total sieving time: 31.20 hours.
Total relation processing time: 1.79 hours.
Matrix solve time: 2.08 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,178,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,53,53,2.5,2.5,100000
total time: 35.23 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49365480k/51380224k available (5395k kernel code, 1086460k absent, 928284k reserved, 7013k data, 1296k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.95 BogoMIPS (lpj=3399977)
Total of 12 processors activated (81599.44 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 9, 2014 12:49:11 UTC 2014 年 12 月 9 日 (火) 21 時 49 分 11 秒 (日本時間)
4511e6600 / 4413KTakahashiMay 4, 2015 23:29:30 UTC 2015 年 5 月 5 日 (火) 8 時 29 分 30 秒 (日本時間)

136×10177-19

c178

name 名前Dmitry Domanov
date 日付December 19, 2014 07:26:32 UTC 2014 年 12 月 19 日 (金) 16 時 26 分 32 秒 (日本時間)
composite number 合成数
5037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037<178>
prime factors 素因数
441692228215270852114081158678359145611759<42>
11403952153267452420591249107126188335065977466409704202626774378943624242857093360231315887431989176737640351657268965926813776047964643<137>
factorization results 素因数分解の結果
N=5037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037
  ( 178 digits)
SNFS difficulty: 179 digits.
Divisors found:
 r1=441692228215270852114081158678359145611759 (pp42)
 r2=11403952153267452420591249107126188335065977466409704202626774378943624242857093360231315887431989176737640351657268965926813776047964643 (pp137)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 88.61 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 5037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037
m: 200000000000000000000000000000000000
deg: 5
c5: 425
c0: -1
skew: 0.30
# Murphy_E = 1.123e-10
type: snfs
lss: 1
rlim: 6800000
alim: 6800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3400000, 7800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1367144 x 1367370
Total sieving time: 86.33 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 1.91 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,179.000,5,0,0,0,0,0,0,0,0,6800000,6800000,28,28,53,53,2.5,2.5,100000
total time: 88.61 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 8, 2014 19:27:31 UTC 2014 年 12 月 9 日 (火) 4 時 27 分 31 秒 (日本時間)

136×10178-19

c119

name 名前Serge Batalov
date 日付December 9, 2014 01:36:45 UTC 2014 年 12 月 9 日 (火) 10 時 36 分 45 秒 (日本時間)
composite number 合成数
18593687087504071504070806046810962647186568711269695213980400585770779224246316269930208052068797170589114835676405013<119>
prime factors 素因数
67232717137529178806666866226142683<35>
276557126933742644131755806026347616856993340349777156439712364560800767375172418511<84>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3796445886
Step 1 took 7606ms
Step 2 took 6580ms
********** Factor found in step 2: 67232717137529178806666866226142683
Found probable prime factor of 35 digits: 67232717137529178806666866226142683
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 9, 2014 00:57:17 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 17 秒 (日本時間)

136×10179-19

c124

name 名前Serge Batalov
date 日付December 9, 2014 00:58:00 UTC 2014 年 12 月 9 日 (火) 9 時 58 分 0 秒 (日本時間)
composite number 合成数
4781844476480306961422721663960435094852290552579750739849263210778692100456183874536937813632208827591662918802330380947443<124>
prime factors 素因数
332621842870623683239401011829403<33>
composite cofactor 合成数の残り
14376219057689032262532613652462928837855909270941275173598055607341834306594792947223308681<92>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1480360744
Step 1 took 10655ms
********** Factor found in step 1: 332621842870623683239401011829403
Found probable prime factor of 33 digits: 332621842870623683239401011829403
Composite cofactor 

c92

name 名前Serge Batalov
date 日付December 9, 2014 17:22:59 UTC 2014 年 12 月 10 日 (水) 2 時 22 分 59 秒 (日本時間)
composite number 合成数
14376219057689032262532613652462928837855909270941275173598055607341834306594792947223308681<92>
prime factors 素因数
128372566484832313754218743830646010367883529<45>
111988249914654739729397217304380546533765647489<48>
factorization results 素因数分解の結果
PRP48 = 111988249914654739729397217304380546533765647489
PRP45 = 128372566484832313754218743830646010367883529
software ソフトウェア
yafu

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 9, 2014 00:57:20 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 20 秒 (日本時間)

136×10181-19

c161

name 名前Serge Batalov
date 日付December 11, 2014 01:34:23 UTC 2014 年 12 月 11 日 (木) 10 時 34 分 23 秒 (日本時間)
composite number 合成数
44342607313234984144053262418949875068340960575693324382233049689002684679146144239997670765664068000554867260309813651064383937504078566358864006654225507250561<161>
prime factors 素因数
10858447401040110693049019611021<32>
composite cofactor 合成数の残り
4083696837633296211027407563489731687698148963919578694086118019428420821301612727549773007159582593664444801196434618508863404741<130>
factorization results 素因数分解の結果
Input number is 44342607313234984144053262418949875068340960575693324382233049689002684679146144239997670765664068000554867260309813651064383937504078566358864006654225507250561 (161 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1411885450
Step 1 took 11004ms
Step 2 took 8049ms
********** Factor found in step 2: 10858447401040110693049019611021
Found probable prime factor of 32 digits: 10858447401040110693049019611021
Composite cofactor 4083696837633296211027407563489731687698148963919578694086118019428420821301612727549773007159582593664444801196434618508863404741 has 130 digits

c130

name 名前KTakahashi
date 日付June 29, 2015 19:37:31 UTC 2015 年 6 月 30 日 (火) 4 時 37 分 31 秒 (日本時間)
composite number 合成数
4083696837633296211027407563489731687698148963919578694086118019428420821301612727549773007159582593664444801196434618508863404741<130>
prime factors 素因数
70018928412521412306633567550684006186453<41>
58322755435129066376360062684939761792491834187900407258966848304299937306610385834299697<89>
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 4083696837633296211027407563489731687698148963919578694086118019428420821301612727549773007159582593664444801196434618508863404741 (130 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3769682568
Step 1 took 37550ms
Step 2 took 296ms
********** Factor found in step 2: 70018928412521412306633567550684006186453
Found probable prime factor of 41 digits: 70018928412521412306633567550684006186453
Probable prime cofactor 58322755435129066376360062684939761792491834187900407258966848304299937306610385834299697 has 89 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:48:28 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 28 秒 (日本時間)
4511e6801 / 4251585CypFebruary 6, 2015 04:28:17 UTC 2015 年 2 月 6 日 (金) 13 時 28 分 17 秒 (日本時間)
216KTakahashiJune 29, 2015 12:30:06 UTC 2015 年 6 月 29 日 (月) 21 時 30 分 6 秒 (日本時間)
5043e645 / 7362Pierre JammesFebruary 15, 2015 16:13:10 UTC 2015 年 2 月 16 日 (月) 1 時 13 分 10 秒 (日本時間)

136×10183-19

c168

name 名前Cyp
date 日付December 8, 2014 07:27:22 UTC 2014 年 12 月 8 日 (月) 16 時 27 分 22 秒 (日本時間)
composite number 合成数
749989699258994367683830758985725915721974902600760953912562876421424311260886868460619690392765751232457863970372500306450414091685773026528215486601035404420357036533<168>
prime factors 素因数
508569618923404781653611677962561867<36>
1474704094292249985507802185603669107358719578340844922000725229451000090602082951504699821952001430449044926388036907940220041675199<133>
factorization results 素因数分解の結果
Run 63 out of 280:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3873847775
Step 1 took 13701ms
Step 2 took 5121ms
********** Factor found in step 2: 508569618923404781653611677962561867
Found probable prime factor of 36 digits: 508569618923404781653611677962561867
Probable prime cofactor 1474704094292249985507802185603669107358719578340844922000725229451000090602082951504699821952001430449044926388036907940220041675199 has 133 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
3025e40--
351e6118 / 728Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e663 / 2318CypDecember 8, 2014 07:27:21 UTC 2014 年 12 月 8 日 (月) 16 時 27 分 21 秒 (日本時間)

136×10184-19

c156

name 名前Jo Yeong Uk
date 日付July 6, 2016 11:01:22 UTC 2016 年 7 月 6 日 (水) 20 時 1 分 22 秒 (日本時間)
composite number 合成数
515193969880709782860894050291641863691192399345706185534259970844801422249838267821706308944042191830862948977561378938485227693111017849458624762045169419<156>
prime factors 素因数
5513902039692921606993975282107852044666343708192896875466869695048297<70>
93435459348385847197128682699008736277458829014294558382279922417241940088153751398227<86>
factorization results 素因数分解の結果
Number: 15111_184
N=515193969880709782860894050291641863691192399345706185534259970844801422249838267821706308944042191830862948977561378938485227693111017849458624762045169419
  ( 156 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=5513902039692921606993975282107852044666343708192896875466869695048297
 r2=93435459348385847197128682699008736277458829014294558382279922417241940088153751398227
Version: 
Total time: 71.66 hours.
Scaled time: 376.73 units (timescale=5.257).
Factorization parameters were as follows:
n: 515193969880709782860894050291641863691192399345706185534259970844801422249838267821706308944042191830862948977561378938485227693111017849458624762045169419
m: 10000000000000000000000000000000000000
deg: 5
c5: 68
c0: -5
skew: 0.59
# Murphy_E = 5.466e-11
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5

Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [3700000, 6900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 19978287
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1680517 x 1680762
Total sieving time: 65.65 hours.
Total relation processing time: 2.14 hours.
Matrix solve time: 3.76 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,54,54,2.5,2.5,100000
total time: 71.66 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49368528k/51380224k available (5398k kernel code, 1086460k absent, 925236k reserved, 7010k data, 1296k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.81 BogoMIPS (lpj=3399905)
Total of 12 processors activated (81597.72 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:48:28 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 28 秒 (日本時間)
4511e6585 / 4409CypMay 12, 2015 16:00:50 UTC 2015 年 5 月 13 日 (水) 1 時 0 分 50 秒 (日本時間)

136×10185-19

c161

name 名前Cyp
date 日付June 5, 2015 22:13:12 UTC 2015 年 6 月 6 日 (土) 7 時 13 分 12 秒 (日本時間)
composite number 合成数
57777877280725832861124398194733950653551758258218621719593430444259456085794049188311111071376034779800033407826044312118420529936637994047560444965192124345629<161>
prime factors 素因数
10050817915976783807984715146741401406653<41>
5748574669617892307110864376089087814650885309633110814511030000912922649956487794118796507108775934744609057374532327393<121>
factorization results 素因数分解の結果
Run 47 out of 504:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1263273474
Step 1 took 50502ms
********** Factor found in step 1: 10050817915976783807984715146741401406653
Found probable prime factor of 41 digits: 10050817915976783807984715146741401406653
Probable prime cofactor 5748574669617892307110864376089087814650885309633110814511030000912922649956487794118796507108775934744609057374532327393 has 121 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 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6580 / 2156280CypDecember 10, 2014 18:34:57 UTC 2014 年 12 月 11 日 (木) 3 時 34 分 57 秒 (日本時間)
300Serge BatalovDecember 10, 2014 19:48:29 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 29 秒 (日本時間)
4511e647 / 4347CypJune 5, 2015 22:13:12 UTC 2015 年 6 月 6 日 (土) 7 時 13 分 12 秒 (日本時間)

136×10186-19

c180

name 名前Cyp
date 日付July 30, 2015 14:44:10 UTC 2015 年 7 月 30 日 (木) 23 時 44 分 10 秒 (日本時間)
composite number 合成数
489717803968390055276068923704728006104562881903143634336329048767060350449190234867110410771441041845532943808191190670233439871081500036024865954424693441245820200029053949066907<180>
prime factors 素因数
78622824290849952690902937782360539<35>
6228697689067663444457331552948412423996540100321029787723683571004178434679246371476365269748365329605924118902899829657164333933526931956034113<145>
factorization results 素因数分解の結果
Run 11 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2996667857
Step 1 took 59113ms
Step 2 took 18964ms
********** Factor found in step 2: 78622824290849952690902937782360539
Found probable prime factor of 35 digits: 78622824290849952690902937782360539
Probable prime cofactor 6228697689067663444457331552948412423996540100321029787723683571004178434679246371476365269748365329605924118902899829657164333933526931956034113 has 145 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 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2280Serge BatalovDecember 10, 2014 19:48:29 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 29 秒 (日本時間)
4511e611 / 4409CypJuly 30, 2015 14:44:09 UTC 2015 年 7 月 30 日 (木) 23 時 44 分 9 秒 (日本時間)

136×10189-19

c150

name 名前Cyp
date 日付December 6, 2014 17:48:00 UTC 2014 年 12 月 7 日 (日) 2 時 48 分 0 秒 (日本時間)
composite number 合成数
100137787576092084543180375934248702054379358431859741945340215293950382078948758117409858599159002469563658991834689626070764797087794037614689779097<150>
prime factors 素因数
226749285385910827849675273763523209<36>
441623387723867960107941998342079589892013098490873929426736878348153199337250622944628417878388822337065183794833<114>
factorization results 素因数分解の結果
Run 126 out of 280:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1621793495
Step 1 took 11419ms
Step 2 took 4496ms
********** Factor found in step 2: 226749285385910827849675273763523209
Found probable prime factor of 36 digits: 226749285385910827849675273763523209
Probable prime cofactor 441623387723867960107941998342079589892013098490873929426736878348153199337250622944628417878388822337065183794833 has 114 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
3025e40--
351e6118 / 551Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6126 / 2318CypDecember 6, 2014 17:48:00 UTC 2014 年 12 月 7 日 (日) 2 時 48 分 0 秒 (日本時間)

136×10190-19

c190

name 名前Robert Backstrom
date 日付December 29, 2014 11:41:20 UTC 2014 年 12 月 29 日 (月) 20 時 41 分 20 秒 (日本時間)
composite number 合成数
3215130023640661938534278959810874704491725768321513002364066193853427895981087470449172576832151300236406619385342789598108747044917257683215130023640661938534278959810874704491725768321513<190>
prime factors 素因数
116861754010060744743717915173598448611410571158052284434787652131<66>
27512251984202360970864533442359063627063426002553255523503041119603477082251616552823539245536664541382399740890619473147523<125>
factorization results 素因数分解の結果
Number: n
N=3215130023640661938534278959810874704491725768321513002364066193853427895981087470449172576832151300236406619385342789598108747044917257683215130023640661938534278959810874704491725768321513
  ( 190 digits)
SNFS difficulty: 192 digits.
Divisors found:

Mon Dec 29 22:36:55 2014  prp66 factor: 116861754010060744743717915173598448611410571158052284434787652131
Mon Dec 29 22:36:55 2014  prp125 factor: 27512251984202360970864533442359063627063426002553255523503041119603477082251616552823539245536664541382399740890619473147523
Mon Dec 29 22:36:55 2014  elapsed time 01:10:15 (Msieve 1.44 - dependency 2)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.276).
Factorization parameters were as follows:
#
#  N = 136*10^190-1 151(190)
#
n: 3215130023640661938534278959810874704491725768321513002364066193853427895981087470449172576832151300236406619385342789598108747044917257683215130023640661938534278959810874704491725768321513
m: 100000000000000000000000000000000000000
deg: 5
c5: 136
c0: -1
skew: 0.37
# Murphy_E = 3.48e-11
type: snfs
lss: 1
rlim: 11200000
alim: 11200000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11200000/11200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 14000000)
Primes: RFBsize:738873, AFBsize:738922,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 4243190 hash collisions in 32723074 relations (30327227 unique)
Msieve: matrix is 1281381 x 1281609 (361.2 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0hrs 56min 47sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 4sec.

Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,11200000,11200000,28,28,55,55,2.5,2.5,100000
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
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 9, 2014 00:57:33 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 33 秒 (日本時間)

136×10193-19

c193

name 名前Cyp
date 日付December 6, 2014 19:42:43 UTC 2014 年 12 月 7 日 (日) 4 時 42 分 43 秒 (日本時間)
composite number 合成数
7953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269<193>
prime factors 素因数
175795818769640045209170945722195683<36>
45241214665581836238089601901579207876684366940998019988509514000641828505095607692275575769029515452087018403536479118733625842512098480129684241624159485343<158>
factorization results 素因数分解の結果
Run 14 out of 280:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2787317651
Step 1 took 19236ms
Step 2 took 6283ms
********** Factor found in step 2: 175795818769640045209170945722195683
Found probable prime factor of 36 digits: 175795818769640045209170945722195683
Probable prime cofactor 45241214665581836238089601901579207876684366940998019988509514000641828505095607692275575769029515452087018403536479118733625842512098480129684241624159485343 has 158 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 865Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e614 / 2318CypDecember 6, 2014 19:42:43 UTC 2014 年 12 月 7 日 (日) 4 時 42 分 43 秒 (日本時間)

136×10194-19

c180

name 名前Cyp
date 日付May 29, 2015 03:16:26 UTC 2015 年 5 月 29 日 (金) 12 時 16 分 26 秒 (日本時間)
composite number 合成数
233136472537242763678650051893073276622239151463331936507979966636796904297906854718349722280894246675775200669348345825509175688136545775573260208257323982373293812505803345723531<180>
prime factors 素因数
394550665683510713544263792362988281<36>
composite cofactor 合成数の残り
590891089065487632024524586283564539303620975316644536214672954334515698552666563206453595417234984721743270450042006115385640283816742885465251<144>
factorization results 素因数分解の結果
Run 28 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3443565012
Step 1 took 58831ms
Step 2 took 18751ms
********** Factor found in step 2: 394550665683510713544263792362988281
Found probable prime factor of 36 digits: 394550665683510713544263792362988281
Composite cofactor 590891089065487632024524586283564539303620975316644536214672954334515698552666563206453595417234984721743270450042006115385640283816742885465251 has 144 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

c144

name 名前Jo Yeong Uk
date 日付September 2, 2017 03:32:28 UTC 2017 年 9 月 2 日 (土) 12 時 32 分 28 秒 (日本時間)
composite number 合成数
590891089065487632024524586283564539303620975316644536214672954334515698552666563206453595417234984721743270450042006115385640283816742885465251<144>
prime factors 素因数
187433079642722545137942947513456459933687890213816363767832316165421991<72>
3152544311771543422719815025407155967757189970454820375816703298760541861<73>
factorization results 素因数分解の結果
Number: 15111_194
N=590891089065487632024524586283564539303620975316644536214672954334515698552666563206453595417234984721743270450042006115385640283816742885465251
  ( 144 digits)
SNFS difficulty: 196 digits.
Divisors found:
 r1=187433079642722545137942947513456459933687890213816363767832316165421991
 r2=3152544311771543422719815025407155967757189970454820375816703298760541861
Version: 
Total time: 165.82 hours.
Scaled time: 871.39 units (timescale=5.255).
Factorization parameters were as follows:
n: 590891089065487632024524586283564539303620975316644536214672954334515698552666563206453595417234984721743270450042006115385640283816742885465251
m: 1000000000000000000000000000000000000000
deg: 5
c5: 68
c0: -5
skew: 0.59
# Murphy_E = 2.113e-11
type: snfs
lss: 1
rlim: 12000000
alim: 12000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12000000/12000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6000000, 12900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 23558064
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2282571 x 2282818
Total sieving time: 152.41 hours.
Total relation processing time: 4.42 hours.
Matrix solve time: 8.30 hours.
Time per square root: 0.69 hours.
Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,12000000,12000000,28,28,55,55,2.5,2.5,100000
total time: 165.82 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 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:48:30 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 30 秒 (日本時間)
4511e6585 / 4409CypMay 29, 2015 03:16:26 UTC 2015 年 5 月 29 日 (金) 12 時 16 分 26 秒 (日本時間)

136×10195-19

c145

name 名前Jo Yeong Uk
date 日付March 24, 2017 13:07:07 UTC 2017 年 3 月 24 日 (金) 22 時 7 分 7 秒 (日本時間)
composite number 合成数
9565790652828908458686210731366633989133673981064739510083953598837380181656890256658702231946934958782402385920374344540040876359761431302960993<145>
prime factors 素因数
4383069308925980758899600316570543803321024673<46>
2182441111152059834671439194569828974146990703857152466055370294206930407511848032478847388444507841<100>
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 9565790652828908458686210731366633989133673981064739510083953598837380181656890256658702231946934958782402385920374344540040876359761431302960993 (145 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=8502857205
Step 1 took 24697ms
Step 2 took 8592ms
********** Factor found in step 2: 4383069308925980758899600316570543803321024673
Found probable prime factor of 46 digits: 4383069308925980758899600316570543803321024673
Probable prime cofactor 2182441111152059834671439194569828974146990703857152466055370294206930407511848032478847388444507841 has 100 digits
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 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:48:30 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 30 秒 (日本時間)
4511e6585 / 4409CypJune 8, 2015 05:55:08 UTC 2015 年 6 月 8 日 (月) 14 時 55 分 8 秒 (日本時間)

136×10197-19

c169

name 名前Jo Yeong Uk
date 日付March 3, 2018 03:12:37 UTC 2018 年 3 月 3 日 (土) 12 時 12 分 37 秒 (日本時間)
composite number 合成数
2621300578478915772708063181133944960561062620849665629218565818906768393580046247572987797175212647080340082739953787016958690891886463697966041665390294418032770013361<169>
prime factors 素因数
2650145191056398847381576811655351963153994140651645942596542709<64>
989115836870060293833058908941335204692810321960928957103650910232098257436968042755076314863247403537229<105>
factorization results 素因数分解の結果
Number: 15111_197
N=2621300578478915772708063181133944960561062620849665629218565818906768393580046247572987797175212647080340082739953787016958690891886463697966041665390294418032770013361
  ( 169 digits)
SNFS difficulty: 199 digits.
Divisors found:
 r1=2650145191056398847381576811655351963153994140651645942596542709
 r2=989115836870060293833058908941335204692810321960928957103650910232098257436968042755076314863247403537229
Version: 
Total time: 190.27 hours.
Scaled time: 991.29 units (timescale=5.210).
Factorization parameters were as follows:
n: 2621300578478915772708063181133944960561062620849665629218565818906768393580046247572987797175212647080340082739953787016958690891886463697966041665390294418032770013361
m: 2000000000000000000000000000000000000000
deg: 5
c5: 425
c0: -1
skew: 0.30
# Murphy_E = 1.693e-11
type: snfs
lss: 1
rlim: 14000000
alim: 14000000
lpbr: 29
lpba: 29
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14000000/14000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 55/55
Sieved rational special-q in [7000000, 14400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 34601194
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2768883 x 2769128
Total sieving time: 170.08 hours.
Total relation processing time: 6.64 hours.
Matrix solve time: 13.14 hours.
Time per square root: 0.42 hours.
Prototype def-par.txt line would be:
snfs,199,5,0,0,0,0,0,0,0,0,14000000,14000000,29,29,55,55,2.5,2.5,100000
total time: 190.27 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49367704k/51380224k available (5488k kernel code, 1086464k absent, 926056k reserved, 6940k data, 1328k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.37 BogoMIPS (lpj=3400188)
Total of 12 processors activated (81604.51 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 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:48:30 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 30 秒 (日本時間)
4511e6585 / 4409CypJuly 31, 2015 05:25:40 UTC 2015 年 7 月 31 日 (金) 14 時 25 分 40 秒 (日本時間)

136×10198-19

c191

name 名前Jo Yeong Uk
date 日付April 22, 2018 08:28:10 UTC 2018 年 4 月 22 日 (日) 17 時 28 分 10 秒 (日本時間)
composite number 合成数
10240187050099814939482692032873749318679413632532166676412501157373611495964258592615176270994685518284201429005739321476039587066562466709674262608296245463405415656691418178361122050247399<191>
prime factors 素因数
168968299662120656540442715530469998665675747648459870154484386307<66>
60604190671130141537447974651706099149042018692536414347219713116842357391197512103373158444560574628538807712943042521159757<125>
factorization results 素因数分解の結果
Number: 15111_198
N=10240187050099814939482692032873749318679413632532166676412501157373611495964258592615176270994685518284201429005739321476039587066562466709674262608296245463405415656691418178361122050247399
  ( 191 digits)
SNFS difficulty: 200 digits.
Divisors found:
 r1=168968299662120656540442715530469998665675747648459870154484386307
 r2=60604190671130141537447974651706099149042018692536414347219713116842357391197512103373158444560574628538807712943042521159757
Version: 
Total time: 238.25 hours.
Scaled time: 1250.33 units (timescale=5.248).
Factorization parameters were as follows:
n: 10240187050099814939482692032873749318679413632532166676412501157373611495964258592615176270994685518284201429005739321476039587066562466709674262608296245463405415656691418178361122050247399
m: 2000000000000000000000000000000000000000
deg: 5
c5: 4250
c0: -1
skew: 0.19
# Murphy_E = 1.304e-11
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [8000000, 16900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 38442990
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3291410 x 3291655
Total sieving time: 213.91 hours.
Total relation processing time: 3.87 hours.
Matrix solve time: 20.13 hours.
Time per square root: 0.34 hours.
Prototype def-par.txt line would be:
snfs,200,5,0,0,0,0,0,0,0,0,16000000,16000000,29,29,56,56,2.6,2.6,100000
total time: 238.25 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 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 10, 2014 13:40:52 UTC 2014 年 12 月 10 日 (水) 22 時 40 分 52 秒 (日本時間)
4511e6591 / 4413CypJune 23, 2015 06:04:37 UTC 2015 年 6 月 23 日 (火) 15 時 4 分 37 秒 (日本時間)

136×10200-19

c195

name 名前Jo Yeong Uk
date 日付July 19, 2018 01:20:24 UTC 2018 年 7 月 19 日 (木) 10 時 20 分 24 秒 (日本時間)
composite number 合成数
405429814181678525339676402020268688473603552900705737043528882566568668914596120209582172678698929221106425713765895345388490747868057755981155502992772587530880858576332611280720885213071403017<195>
prime factors 素因数
132657857839502723890617377496699054665953663009<48>
3056206551082645643321722910043226935126167109959622234604128220166109907905524908490638516135838525861782781821298123596713871278082913625747387113<148>
factorization results 素因数分解の結果
Number: 15111_200
N=405429814181678525339676402020268688473603552900705737043528882566568668914596120209582172678698929221106425713765895345388490747868057755981155502992772587530880858576332611280720885213071403017
  ( 195 digits)
SNFS difficulty: 202 digits.
Divisors found:
 r1=132657857839502723890617377496699054665953663009
 r2=3056206551082645643321722910043226935126167109959622234604128220166109907905524908490638516135838525861782781821298123596713871278082913625747387113
Version: 
Total time: 235.93 hours.
Scaled time: 1235.78 units (timescale=5.238).
Factorization parameters were as follows:
n: 405429814181678525339676402020268688473603552900705737043528882566568668914596120209582172678698929221106425713765895345388490747868057755981155502992772587530880858576332611280720885213071403017
m: 20000000000000000000000000000000000000000
deg: 5
c5: 17
c0: -4
skew: 0.75
# Murphy_E = 1.333e-11
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 200000
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [8000000, 16600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 38434996
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3237641 x 3237886
Total sieving time: 213.69 hours.
Total relation processing time: 2.35 hours.
Matrix solve time: 19.67 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16000000,16000000,29,29,56,56,2.6,2.6,100000
total time: 235.93 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 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 8, 2014 17:01:12 UTC 2014 年 12 月 9 日 (火) 2 時 1 分 12 秒 (日本時間)
4511e6591 / 4413CypJune 24, 2015 09:11:24 UTC 2015 年 6 月 24 日 (水) 18 時 11 分 24 秒 (日本時間)

136×10203-19

c172

composite cofactor 合成数の残り
9927892253332556543374227580673828197245380587881469904382986807648475044460807811803187494803368250607256317159966884937296049443000283464581618707800220979360804397866267<172>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:48:31 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 31 秒 (日本時間)
4511e6585 / 4409CypMay 27, 2015 00:22:39 UTC 2015 年 5 月 27 日 (水) 9 時 22 分 39 秒 (日本時間)

136×10205-19

c145

composite cofactor 合成数の残り
1440814663551419064927707070419915106414305309010207378631517549924941202539796500235834061049000933115237765452545859080418909235665257235960567<145>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:48:31 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 31 秒 (日本時間)
4511e6585 / 4409CypFebruary 7, 2015 20:51:04 UTC 2015 年 2 月 8 日 (日) 5 時 51 分 4 秒 (日本時間)

136×10208-19

c146

composite cofactor 合成数の残り
11133083975614393174618106789842541849999798450075953644503853715832934826650529799267849607478318984750751468487348433361620156657048935628137667<146>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 9, 2014 00:57:27 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 27 秒 (日本時間)
4511e61500Rich DickersonNovember 24, 2015 07:41:50 UTC 2015 年 11 月 24 日 (火) 16 時 41 分 50 秒 (日本時間)
5043e6720 / 7128500Rich DickersonNovember 24, 2015 07:41:50 UTC 2015 年 11 月 24 日 (火) 16 時 41 分 50 秒 (日本時間)
220Rich DickersonNovember 24, 2015 14:51:24 UTC 2015 年 11 月 24 日 (火) 23 時 51 分 24 秒 (日本時間)

136×10210-19

c211

name 名前Bob Backstrom
date 日付September 7, 2017 06:17:05 UTC 2017 年 9 月 7 日 (木) 15 時 17 分 5 秒 (日本時間)
composite number 合成数
1679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679<211>
prime factors 素因数
218701004941265719985036851985263146870512479167583<51>
2354214668465634253424689781411905882670811899252897958483443793238790782133<76>
3261046935120360327225349088497138974163555629958222995267120409299431091047237489261<85>
factorization results 素因数分解の結果
Number: n
N=1679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679
  ( 211 digits)
SNFS difficulty: 212 digits.
Divisors found:

Thu Sep  7 15:38:22 2017  prp51 factor: 218701004941265719985036851985263146870512479167583
Thu Sep  7 15:38:22 2017  prp76 factor: 2354214668465634253424689781411905882670811899252897958483443793238790782133
Thu Sep  7 15:38:22 2017  prp85 factor: 3261046935120360327225349088497138974163555629958222995267120409299431091047237489261
Thu Sep  7 15:38:22 2017  elapsed time 09:34:51 (Msieve 1.44 - dependency 5)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=3.824).
Factorization parameters were as follows:
#
# 136x10^210-1 151(210)
#
n: 1679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679
m: 1000000000000000000000000000000000000000000
deg: 5
c5: 136
c0: -1
skew: 0.37
# Murphy_E = 5.022e-12
type: snfs
lss: 1
rlim: 24000000
alim: 24000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 24000000/24000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 23200000)
Primes: RFBsize:1507122, AFBsize:1507449,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 13990670 hash collisions in 77558117 relations (66025605 unique)
Msieve: matrix is 2806922 x 2807147 (794.0 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 8hrs 52min 2sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 17min 49sec.

Prototype def-par.txt line would be:
snfs,212,5,0,0,0,0,0,0,0,0,24000000,24000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 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 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 9, 2014 00:57:41 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 41 秒 (日本時間)
4511e61000 / 3962Serge BatalovDecember 18, 2014 00:18:32 UTC 2014 年 12 月 18 日 (木) 9 時 18 分 32 秒 (日本時間)

136×10211-19

c174

composite cofactor 合成数の残り
777810410603826952462061910465200890110363259568764131766717478025763045479210472616386922888606809699821774523984337461224837796082850766293228001678955614984113590105351401<174>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6580280CypDecember 10, 2014 18:37:53 UTC 2014 年 12 月 11 日 (木) 3 時 37 分 53 秒 (日本時間)
300Serge BatalovDecember 10, 2014 19:48:32 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 32 秒 (日本時間)
4511e6504 / 4347CypJanuary 30, 2015 07:51:52 UTC 2015 年 1 月 30 日 (金) 16 時 51 分 52 秒 (日本時間)

136×10212-19

c180

composite cofactor 合成数の残り
150365908984241616232599529627825474417341193800610310937010527887580062381146165235610297073762883358677195685306144828360135166956590755380054161726547128715051250088167422979469<180>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 10, 2014 03:41:37 UTC 2014 年 12 月 10 日 (水) 12 時 41 分 37 秒 (日本時間)
4511e6591 / 4413335CypDecember 29, 2014 03:33:35 UTC 2014 年 12 月 29 日 (月) 12 時 33 分 35 秒 (日本時間)
256CypJuly 30, 2015 17:08:36 UTC 2015 年 7 月 31 日 (金) 2 時 8 分 36 秒 (日本時間)

136×10213-19

c162

composite cofactor 合成数の残り
314179805795294073426579104088400891201876564330490776653080224408550190904840798068549160894777335862709063751340610424649362723208946692452968511206469217626997<162>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 10, 2014 10:04:45 UTC 2014 年 12 月 10 日 (水) 19 時 4 分 45 秒 (日本時間)
4511e6591 / 4413CypJuly 4, 2015 17:09:40 UTC 2015 年 7 月 5 日 (日) 2 時 9 分 40 秒 (日本時間)

136×10217-19

c179

composite cofactor 合成数の残り
62983809474937170029020729436298803639280168946674859703714517203811826454701471510524703732815385488140914508778491758295360936708258152741826202001793716855985544153435819010463<179>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 6, 2014 17:39:16 UTC 2014 年 12 月 7 日 (日) 2 時 39 分 16 秒 (日本時間)
4511e6591 / 4413CypJune 16, 2015 06:05:35 UTC 2015 年 6 月 16 日 (火) 15 時 5 分 35 秒 (日本時間)

136×10220-19

c220

name 名前Serge Batalov
date 日付December 9, 2014 01:18:09 UTC 2014 年 12 月 9 日 (火) 10 時 18 分 9 秒 (日本時間)
composite number 合成数
1103000811030008110300081103000811030008110300081103000811030008110300081103000811030008110300081103000811030008110300081103000811030008110300081103000811030008110300081103000811030008110300081103000811030008110300081103<220>
prime factors 素因数
201130491458139352903001057384509865873<39>
composite cofactor 合成数の残り
5484005945759706692077427303940906451358619005236927973554846182501648776430261345581441245736400131296978899294662046384251601379115153698133498291920329141709232017282134206940511<181>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1423733763
Step 1 took 20074ms
Step 2 took 14009ms
********** Factor found in step 2: 201130491458139352903001057384509865873
Found probable prime factor of 39 digits: 201130491458139352903001057384509865873
Composite cofactor 

c181

name 名前Erik Branger
date 日付February 23, 2018 07:10:16 UTC 2018 年 2 月 23 日 (金) 16 時 10 分 16 秒 (日本時間)
composite number 合成数
5484005945759706692077427303940906451358619005236927973554846182501648776430261345581441245736400131296978899294662046384251601379115153698133498291920329141709232017282134206940511<181>
prime factors 素因数
6171214880019657797658600794953216560437893724207958903477534893<64>
888642844622878847292231594779134647113410810501472649020992443583188881616199475700121490558557328197918887755088827<117>
factorization results 素因数分解の結果
Number: 15111_220
N = 5484005945759706692077427303940906451358619005236927973554846182501648776430261345581441245736400131296978899294662046384251601379115153698133498291920329141709232017282134206940511 (181 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=6171214880019657797658600794953216560437893724207958903477534893 (pp64)
r2=888642844622878847292231594779134647113410810501472649020992443583188881616199475700121490558557328197918887755088827 (pp117)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 73.22 hours.
Factorization parameters were as follows:
n: 5484005945759706692077427303940906451358619005236927973554846182501648776430261345581441245736400131296978899294662046384251601379115153698133498291920329141709232017282134206940511
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 136
c0: -1
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 27
mfbr: 58
mfba: 54
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 4
Number of threads per core: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/27
Total raw relations: 30865504
Relations: 7520122 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 38.73 hours.
Total relation processing time: 0.28 hours.
Pruned matrix : 6993968 x 6994193
Matrix solve time: 33.65 hours.
time per square root: 0.55 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,536870912,29,27,58,54,2.8,2.8,100000
total time: 73.22 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 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 9, 2014 00:57:46 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 46 秒 (日本時間)

136×10221-19

c201

composite cofactor 合成数の残り
703728470158087192587482494365260242038210435203993036375322898222893716012459427167370872107954395307018782451106849107182732731251750078682896902027272909547832937476356261262418341714974996952308709<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:48:32 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 32 秒 (日本時間)
4511e6585 / 4409CypJune 18, 2015 06:03:46 UTC 2015 年 6 月 18 日 (木) 15 時 3 分 46 秒 (日本時間)

136×10222-19

c124

name 名前Erik Branger
date 日付January 13, 2015 15:49:03 UTC 2015 年 1 月 14 日 (水) 0 時 49 分 3 秒 (日本時間)
composite number 合成数
2017166124932076766536394590295869583383681362447439063430093971538923841655902375962307339817492390777151677086149677925241<124>
prime factors 素因数
6402460101996927781621912494273266591853956598641<49>
315061100389039910184079155907603272546996620214259491078037954775590462601<75>
factorization results 素因数分解の結果
Number: 15111_222
N = 2017166124932076766536394590295869583383681362447439063430093971538923841655902375962307339817492390777151677086149677925241 (124 digits)
Divisors found:
r1=6402460101996927781621912494273266591853956598641 (pp49)
r2=315061100389039910184079155907603272546996620214259491078037954775590462601 (pp75)
Version: Msieve v. 1.51 (SVN 845)
Total time: 36.36 hours.
Factorization parameters were as follows:
n: 2017166124932076766536394590295869583383681362447439063430093971538923841655902375962307339817492390777151677086149677925241
Y0: -634233787626177145239604
Y1: 3327934360949
c0: 377419737631915582153635645
c1: -19398974318058200721875694
c2: -165617892515035834340
c3: 356360042310662
c4: -3018035385
c5: 19656
skew: 156439.74 
type: gnfs
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10968754
Relations: 1513580 relations
Pruned matrix : 870781 x 871009
Polynomial selection time: 0.00 hours.
Total sieving time: 35.60 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.58 hours.
time per square root: 0.11 hours.
Prototype def-par.txt line would be: gnfs,123,5,65,2000,1e-05,0.28,250,20,50000,3600,5200000,5200000,27,27,53,53,2.5,2.5,100000
total time: 36.36 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 9, 2014 00:57:19 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 19 秒 (日本時間)

136×10223-19

c169

name 名前Cyp
date 日付May 15, 2015 21:24:51 UTC 2015 年 5 月 16 日 (土) 6 時 24 分 51 秒 (日本時間)
composite number 合成数
2917395065880443965170609593242684907458719014008562485961790258478940802046905466025595129396461630913964972913538871854183198063114773602700377506922321232627507247107<169>
prime factors 素因数
12296348096520853645518504166240373397319<41>
237257032980864937171149364588872128885701749104503816363909588831347905656299856993069336226289992335462614138246260866342186853<129>
factorization results 素因数分解の結果
Run 243 out of 591:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=478116968
Step 1 took 52113ms
Step 2 took 17591ms
********** Factor found in step 2: 12296348096520853645518504166240373397319
Found probable prime factor of 41 digits: 12296348096520853645518504166240373397319
Probable prime cofactor 237257032980864937171149364588872128885701749104503816363909588831347905656299856993069336226289992335462614138246260866342186853 has 129 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 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280 / 1480CypDecember 9, 2014 00:32:40 UTC 2014 年 12 月 9 日 (火) 9 時 32 分 40 秒 (日本時間)
4511e6243 / 4413CypMay 15, 2015 21:24:51 UTC 2015 年 5 月 16 日 (土) 6 時 24 分 51 秒 (日本時間)

136×10224-19

c211

composite cofactor 合成数の残り
1786221804317456939910168622792235562999713075136719095990786302127334347936086104478523967351897606862944462244877061551320040679071236724799756274705422272823244724643180245736158531242321812751089926521422233<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 8, 2014 13:28:12 UTC 2014 年 12 月 8 日 (月) 22 時 28 分 12 秒 (日本時間)
4511e6591 / 4413CypMay 11, 2015 05:31:08 UTC 2015 年 5 月 11 日 (月) 14 時 31 分 8 秒 (日本時間)

136×10225-19

c164

name 名前Cyp
date 日付June 13, 2015 14:44:35 UTC 2015 年 6 月 13 日 (土) 23 時 44 分 35 秒 (日本時間)
composite number 合成数
48968322139102593819519366013659063876182685827111222721354289161433864628129733166113446936621338328868873540331766049501635387272329634985854436675931754837151497<164>
prime factors 素因数
6660174871823325154210213536171725167<37>
267911681245972788619036807252848323329<39>
27443401628460372295198527075785259613997786944760347480386258346942395637942685664579079<89>
factorization results 素因数分解の結果
Run 112 out of 591:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3930942884
Step 1 took 50032ms
Step 2 took 16878ms
********** Factor found in step 2: 6660174871823325154210213536171725167
Found probable prime factor of 37 digits: 6660174871823325154210213536171725167
Composite cofactor 7352407869389285811237079262805311296383456801866663453665056409432050760182008524423198134404932001708329468448857209681033991 has 127 digits
--
Run 364 out of 591:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2402762193
Step 1 took 35255ms
Step 2 took 13782ms
********** Factor found in step 2: 267911681245972788619036807252848323329
Found probable prime factor of 39 digits: 267911681245972788619036807252848323329
Probable prime cofactor 27443401628460372295198527075785259613997786944760347480386258346942395637942685664579079 has 89 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 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280 / 1062CypDecember 10, 2014 07:16:29 UTC 2014 年 12 月 10 日 (水) 16 時 16 分 29 秒 (日本時間)
4511e6364 / 4413CypJune 13, 2015 14:44:35 UTC 2015 年 6 月 13 日 (土) 23 時 44 分 35 秒 (日本時間)

136×10226-19

c206

name 名前Cyp
date 日付December 9, 2014 18:50:24 UTC 2014 年 12 月 10 日 (水) 3 時 50 分 24 秒 (日本時間)
composite number 合成数
10977093758617248764510350723182887821375723164461877668764922721562681128936761062488723600581886488695879986655261525825444756237792887315708109032492123840674714425706895511056173364309680199322366522889<206>
prime factors 素因数
426723162066200107295721940143375152783<39>
25724157332979049281077236948659717326345949731592387083925545976597279698829425243903785859262018417490057940972830593707371796209185993482303732976243170561378129383<167>
factorization results 素因数分解の結果
Run 256 out of 280:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2485636832
Step 1 took 18819ms
Step 2 took 6328ms
********** Factor found in step 2: 426723162066200107295721940143375152783
Found probable prime factor of 39 digits: 426723162066200107295721940143375152783
Probable prime cofactor 25724157332979049281077236948659717326345949731592387083925545976597279698829425243903785859262018417490057940972830593707371796209185993482303732976243170561378129383 has 167 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
3025e40--
351e6118 / 186Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6256 / 2318CypDecember 9, 2014 18:50:24 UTC 2014 年 12 月 10 日 (水) 3 時 50 分 24 秒 (日本時間)

136×10228-19

c218

composite cofactor 合成数の残り
15981679513108776726424721847310640382665712153389131368982994085267206467142789455826673135936833324351665464501279988377247369683328443505183154899046016970512666881451051731307565518803405020040097984564355412032139<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:48:33 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 33 秒 (日本時間)
4511e6585 / 4409CypJune 22, 2015 16:15:25 UTC 2015 年 6 月 23 日 (火) 1 時 15 分 25 秒 (日本時間)

136×10230-19

c228

composite cofactor 合成数の残り
129697975376457910146005588456880191495245997005502627337662956923106266510266166947996833843542280586311141628281787924737027818308395082920874698404524170552837620042151841997348820797451816248486062235954949026788353884740461<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 9, 2014 00:57:52 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 52 秒 (日本時間)
4511e62000 / 39621000Serge BatalovDecember 18, 2014 00:18:48 UTC 2014 年 12 月 18 日 (木) 9 時 18 分 48 秒 (日本時間)
1000Serge BatalovDecember 21, 2014 10:24:45 UTC 2014 年 12 月 21 日 (日) 19 時 24 分 45 秒 (日本時間)

136×10231-19

c183

name 名前Cyp
date 日付June 12, 2015 14:50:14 UTC 2015 年 6 月 12 日 (金) 23 時 50 分 14 秒 (日本時間)
composite number 合成数
361823555930963936464287360079028358379270860575757531285086203842894458522653196210202135912973171493617317921027412218760646713957044047126175685007599019897812441055307631271291473<183>
prime factors 素因数
1168032386146312007006816776044198353<37>
309771852409613405209140657617092762277091726230087851308594552584250515732528403240400390051972410265193256985818799005874516674859854106289703041<147>
factorization results 素因数分解の結果
Run 358 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=195274757
Step 1 took 59444ms
Step 2 took 18919ms
********** Factor found in step 2: 1168032386146312007006816776044198353
Found probable prime factor of 37 digits: 1168032386146312007006816776044198353
Probable prime cofactor 309771852409613405209140657617092762277091726230087851308594552584250515732528403240400390051972410265193256985818799005874516674859854106289703041 has 147 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 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 1083Serge BatalovDecember 10, 2014 19:48:33 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 33 秒 (日本時間)
4511e6358 / 4409CypJune 12, 2015 14:50:13 UTC 2015 年 6 月 12 日 (金) 23 時 50 分 13 秒 (日本時間)

136×10232-19

c197

composite cofactor 合成数の残り
64022379324617324311081927738153592234110315752118141443823978441375739140782465908917645651168480621236998446175714542512524453431409311456568494121361254472774129877009679728436837984666106453977<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:48:34 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 34 秒 (日本時間)
4511e6585 / 4409CypJuly 31, 2015 05:25:41 UTC 2015 年 7 月 31 日 (金) 14 時 25 分 41 秒 (日本時間)

136×10233-19

c205

composite cofactor 合成数の残り
3214495501288035379622932638716127805535679657694064239884178029217554322685484666230954213811195344450207209860686421059228089234342120048605658747421740085634739963138801834567285374585231161776200033883<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 6, 2014 17:58:36 UTC 2014 年 12 月 7 日 (日) 2 時 58 分 36 秒 (日本時間)
4511e6591 / 4413CypFebruary 5, 2015 21:58:22 UTC 2015 年 2 月 6 日 (金) 6 時 58 分 22 秒 (日本時間)

136×10234-19

c161

name 名前Cyp
date 日付December 8, 2014 13:44:10 UTC 2014 年 12 月 8 日 (月) 22 時 44 分 10 秒 (日本時間)
composite number 合成数
45392121189425306513187097020700227946692023643679407098017094559106215508961972091060039608955397438220685125043074381583716613174146977135741637610164684139163<161>
prime factors 素因数
251112943296967822959064883144873<33>
composite cofactor 合成数の残り
180763765473228851492212195828898652609636922272914790973586675938188789069633478886427651487470547049547261409306762610133069731<129>
factorization results 素因数分解の結果
Run 173 out of 280:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1217254295
Step 1 took 13609ms
Step 2 took 4908ms
********** Factor found in step 2: 251112943296967822959064883144873
Found probable prime factor of 33 digits: 251112943296967822959064883144873
Composite cofactor 180763765473228851492212195828898652609636922272914790973586675938188789069633478886427651487470547049547261409306762610133069731 has 129 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

c129

name 名前Erik Branger
date 日付February 17, 2015 07:06:08 UTC 2015 年 2 月 17 日 (火) 16 時 6 分 8 秒 (日本時間)
composite number 合成数
180763765473228851492212195828898652609636922272914790973586675938188789069633478886427651487470547049547261409306762610133069731<129>
prime factors 素因数
34572840590480367808970097535808315452863212154100278481<56>
5228490409983903871340733849379577292653619020331699603650051155909491251<73>
factorization results 素因数分解の結果
Number: 15111_234
N = 180763765473228851492212195828898652609636922272914790973586675938188789069633478886427651487470547049547261409306762610133069731 (129 digits)
Divisors found:
r1=34572840590480367808970097535808315452863212154100278481 (pp56)
r2=5228490409983903871340733849379577292653619020331699603650051155909491251 (pp73)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 41.21 hours.
Factorization parameters were as follows:
# Murphy_E = 9.112e-11, selected by Maksym Voznyy
n: 180763765473228851492212195828898652609636922272914790973586675938188789069633478886427651487470547049547261409306762610133069731
Y0: -21885732689731439954424717
Y1: 6058876094977
c0: 464573607806437314983548535582336
c1: 167173065654241849898134486
c2: -3649198193391632310843
c3: 1857731973215447
c4: 1025921521
c5: 36
skew: 1893508.63
type: gnfs
# selected mechanically
rlim: 8800000
alim: 8800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8800000/8800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 17392921
Relations: 2248588 relations
Pruned matrix : 1311664 x 1311891
Polynomial selection time: 0.00 hours.
Total sieving time: 39.99 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.08 hours.
time per square root: 0.05 hours.
Prototype def-par.txt line would be: gnfs,128,5,65,2000,1e-05,0.28,250,20,50000,3600,8800000,8800000,28,28,53,53,2.5,2.5,100000
total time: 41.21 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
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62600280CypDecember 8, 2014 13:44:10 UTC 2014 年 12 月 8 日 (月) 22 時 44 分 10 秒 (日本時間)
2320Serge BatalovDecember 9, 2014 19:25:52 UTC 2014 年 12 月 10 日 (水) 4 時 25 分 52 秒 (日本時間)

136×10238-19

c240

composite cofactor 合成数の残り
151111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 9, 2014 00:57:55 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 55 秒 (日本時間)
4511e640001000Serge BatalovDecember 18, 2014 00:19:00 UTC 2014 年 12 月 18 日 (木) 9 時 19 分 0 秒 (日本時間)
1000Serge BatalovDecember 18, 2014 01:48:49 UTC 2014 年 12 月 18 日 (木) 10 時 48 分 49 秒 (日本時間)
2000Serge BatalovDecember 20, 2014 04:02:05 UTC 2014 年 12 月 20 日 (土) 13 時 2 分 5 秒 (日本時間)
5043e6500 / 6567Serge BatalovJanuary 11, 2015 01:24:49 UTC 2015 年 1 月 11 日 (日) 10 時 24 分 49 秒 (日本時間)

136×10239-19

c220

composite cofactor 合成数の残り
1413175381463170169886750210897303776795178504959955097951194187550802646527262615012948363087213303531247270658716464245627452949185740967609541411372571260569058692260236701226370482072611245873744599469593543500426683<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 7, 2014 22:15:35 UTC 2014 年 12 月 8 日 (月) 7 時 15 分 35 秒 (日本時間)
4511e6591 / 4413335CypJanuary 6, 2015 17:00:15 UTC 2015 年 1 月 7 日 (水) 2 時 0 分 15 秒 (日本時間)
256CypJuly 7, 2015 05:28:42 UTC 2015 年 7 月 7 日 (火) 14 時 28 分 42 秒 (日本時間)

136×10240-19

c180

name 名前Cyp
date 日付July 30, 2015 18:38:34 UTC 2015 年 7 月 31 日 (金) 3 時 38 分 34 秒 (日本時間)
composite number 合成数
725965137982278014135166849704419040015517776616102436968994654670108285945715588191789933770290649358258668352504955282848374314731099739749913201835532240241655575878775352935899<180>
prime factors 素因数
28327110681581740513092518879968888553737<41>
composite cofactor 合成数の残り
25627927470001373362419785558799962817483990159880123752965978137980283969682854761060645815712825313392746996345779832492188038806790905027<140>
factorization results 素因数分解の結果
Run 140 out of 591:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=316744542
Step 1 took 58870ms
Step 2 took 18620ms
********** Factor found in step 2: 28327110681581740513092518879968888553737
Found probable prime factor of 41 digits: 28327110681581740513092518879968888553737
Composite cofactor 25627927470001373362419785558799962817483990159880123752965978137980283969682854761060645815712825313392746996345779832492188038806790905027 has 140 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

c140

name 名前Erik Branger
date 日付December 6, 2015 11:07:29 UTC 2015 年 12 月 6 日 (日) 20 時 7 分 29 秒 (日本時間)
composite number 合成数
25627927470001373362419785558799962817483990159880123752965978137980283969682854761060645815712825313392746996345779832492188038806790905027<140>
prime factors 素因数
28746943309100385510331137525612240015460233853<47>
891500956969166560786003263563495831955426952832825007765527660862525682221375153462812880959<93>
factorization results 素因数分解の結果
Sat 2015/12/05 23:10:33 UTC GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Sat 2015/12/05 23:10:33 UTC Input number is 25627927470001373362419785558799962817483990159880123752965978137980283969682854761060645815712825313392746996345779832492188038806790905027 (140 digits)
Sat 2015/12/05 23:10:33 UTC Run 86 out of 100:
Sat 2015/12/05 23:10:33 UTC Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:1367951077
Sat 2015/12/05 23:10:33 UTC Step 1 took 88735ms
Sat 2015/12/05 23:10:33 UTC Step 2 took 43843ms
Sat 2015/12/05 23:10:33 UTC ********** Factor found in step 2: 28746943309100385510331137525612240015460233853
Sat 2015/12/05 23:10:33 UTC Found probable prime factor of 47 digits: 28746943309100385510331137525612240015460233853
Sat 2015/12/05 23:10:33 UTC Probable prime cofactor 891500956969166560786003263563495831955426952832825007765527660862525682221375153462812880959 has 93 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 10, 2014 08:58:18 UTC 2014 年 12 月 10 日 (水) 17 時 58 分 18 秒 (日本時間)
4511e6591 / 4413CypJuly 30, 2015 18:38:34 UTC 2015 年 7 月 31 日 (金) 3 時 38 分 34 秒 (日本時間)

136×10241-19

c222

name 名前Cyp
date 日付December 9, 2014 05:42:54 UTC 2014 年 12 月 9 日 (火) 14 時 42 分 54 秒 (日本時間)
composite number 合成数
654496726868210697507211495806794268721531078209470354187913482098202264990391707194469710410284231620835643634386630220182913386959078431766631768441817569653328932605966590066891187250935291066771513030639492525337549293<222>
prime factors 素因数
410037536768471738547107039<27>
composite cofactor 合成数の残り
1596187344276661134760199195822145680918470573456047063428712762538825771653916940126832521149748284979537082474563534166352576831801283182828594184695702985313230565869546749008400668350074347187<196>
factorization results 素因数分解の結果
Run 20 out of 280:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=611237300
Step 1 took 21730ms
Step 2 took 6972ms
********** Factor found in step 2: 410037536768471738547107039
Found probable prime factor of 27 digits: 410037536768471738547107039
Composite cofactor 1596187344276661134760199195822145680918470573456047063428712762538825771653916940126832521149748284979537082474563534166352576831801283182828594184695702985313230565869546749008400668350074347187 has 196 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 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 9, 2014 05:42:53 UTC 2014 年 12 月 9 日 (火) 14 時 42 分 53 秒 (日本時間)
4511e6591 / 4413CypJuly 31, 2015 05:39:17 UTC 2015 年 7 月 31 日 (金) 14 時 39 分 17 秒 (日本時間)

136×10242-19

c215

composite cofactor 合成数の残り
68228453451746186636609552737383376861625890430628277982516524767772317682848460444839510670238117682582799378816839123750895433738027609014839500771540749264970968032723025729114392454413963660919895479118752453973<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 9, 2014 08:55:26 UTC 2014 年 12 月 9 日 (火) 17 時 55 分 26 秒 (日本時間)
4511e6591 / 4413CypJune 1, 2015 01:11:50 UTC 2015 年 6 月 1 日 (月) 10 時 11 分 50 秒 (日本時間)

136×10243-19

c166

name 名前Serge Batalov
date 日付December 9, 2014 03:03:05 UTC 2014 年 12 月 9 日 (火) 12 時 3 分 5 秒 (日本時間)
composite number 合成数
1041946814059043954055851668435561170368824099292814634595005105927304412787908526619039550962953194653076638770068165959488482888486968689217032374864190492188513461<166>
prime factors 素因数
20189180493030735130312873787620791421993<41>
composite cofactor 合成数の残り
51609168307684500502453155682392414948776795686442701557780215919581545022702662187099496438656313762516073257909469690140077<125>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3386608672
Step 1 took 11681ms
Step 2 took 10129ms
********** Factor found in step 2: 20189180493030735130312873787620791421993
Found probable prime factor of 41 digits: 20189180493030735130312873787620791421993
Composite cofactor 

c125

name 名前Erik Branger
date 日付February 11, 2015 07:31:03 UTC 2015 年 2 月 11 日 (水) 16 時 31 分 3 秒 (日本時間)
composite number 合成数
51609168307684500502453155682392414948776795686442701557780215919581545022702662187099496438656313762516073257909469690140077<125>
prime factors 素因数
279333878158211689760662618370657782770047090178515171<54>
184757998736027376262709875277503263517333336376102035263344568605066287<72>
factorization results 素因数分解の結果
Number: 15111_243
N = 51609168307684500502453155682392414948776795686442701557780215919581545022702662187099496438656313762516073257909469690140077 (125 digits)
Divisors found:
r1=279333878158211689760662618370657782770047090178515171 (pp54)
r2=184757998736027376262709875277503263517333336376102035263344568605066287 (pp72)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 25.68 hours.
Factorization parameters were as follows:
# Murphy_E = 1.341e-10, selected by Maksym Voznyy
n: 51609168307684500502453155682392414948776795686442701557780215919581545022702662187099496438656313762516073257909469690140077
Y0: -3362861332261789221558459
Y1: 623983368463
c0: 20693542608490494092095500456895496
c1: 24519175697061474746202089326
c2: -12683948403374560178745
c3: -6304636313117758
c4: 1216141876
c5: 120
skew: 3512931.82
type: gnfs
# selected mechanically
rlim: 7000000
alim: 7000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10843977
Relations: 1601928 relations
Pruned matrix : 961715 x 961939
Polynomial selection time: 0.00 hours.
Total sieving time: 25.05 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.54 hours.
time per square root: 0.03 hours.
Prototype def-par.txt line would be: gnfs,124,5,65,2000,1e-05,0.28,250,20,50000,3600,7000000,7000000,27,27,52,52,2.5,2.5,100000
total time: 25.68 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
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 9, 2014 00:57:31 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 31 秒 (日本時間)

136×10244-19

c234

composite cofactor 合成数の残り
685218513578766884204342637907534835471387551343432373399100335161933830009497718636840728837212205772883599830641131599301960033707239433882274052379422073456111338308124385866621521781307896850740332635105775473482307477978790686187<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 9, 2014 11:27:45 UTC 2014 年 12 月 9 日 (火) 20 時 27 分 45 秒 (日本時間)
4511e6591 / 4413CypJuly 31, 2015 05:25:38 UTC 2015 年 7 月 31 日 (金) 14 時 25 分 38 秒 (日本時間)

136×10245-19

c236

composite cofactor 合成数の残り
28092709611095456228689624228299284968344819252660012054058797907019627746178749636962026902284970173350999201676913953432343196502374464295407925624494226848899208834917565011710960583396520932207094125429765231435044465739570612889031<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:48:34 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 34 秒 (日本時間)
4511e6585 / 4409CypJune 26, 2015 06:05:10 UTC 2015 年 6 月 26 日 (金) 15 時 5 分 10 秒 (日本時間)

136×10247-19

c224

name 名前Cyp
date 日付December 6, 2014 21:45:04 UTC 2014 年 12 月 7 日 (日) 6 時 45 分 4 秒 (日本時間)
composite number 合成数
78861586081238759326597027130639793056123191185832647643725150556128223192387791684756264158825008137936819363063382384281585569647048360541246620339784395827528377965264892521459653173817933434609257244668593901030979843567<224>
prime factors 素因数
113150049894600885567721792423318701883<39>
composite cofactor 合成数の残り
696964660242732701459475385802429319316506515178909848219545934670678059363016593334255311928142312909198749051690276899421018698267083533878592864609753624497483789276885973012084861149<186>
factorization results 素因数分解の結果
Run 48 out of 280:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1891153625
Step 1 took 21438ms
Step 2 took 7105ms
********** Factor found in step 2: 113150049894600885567721792423318701883
Found probable prime factor of 39 digits: 113150049894600885567721792423318701883
Composite cofactor 696964660242732701459475385802429319316506515178909848219545934670678059363016593334255311928142312909198749051690276899421018698267083533878592864609753624497483789276885973012084861149 has 186 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

c186

name 名前Cyp
date 日付July 30, 2015 16:47:44 UTC 2015 年 7 月 31 日 (金) 1 時 47 分 44 秒 (日本時間)
composite number 合成数
696964660242732701459475385802429319316506515178909848219545934670678059363016593334255311928142312909198749051690276899421018698267083533878592864609753624497483789276885973012084861149<186>
prime factors 素因数
8692091834621504271861142377032073043<37>
80183766290486036318610626458065829841758159016914229070992687131573723665735181069673522950387297052141478855562404673829557171642544348616063312143<149>
factorization results 素因数分解の結果
Run 580 out of 591:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3430200923
Step 1 took 58909ms
Step 2 took 19478ms
********** Factor found in step 2: 8692091834621504271861142377032073043
Found probable prime factor of 37 digits: 8692091834621504271861142377032073043
Probable prime cofactor 80183766290486036318610626458065829841758159016914229070992687131573723665735181069673522950387297052141478855562404673829557171642544348616063312143 has 149 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 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280 / 317CypDecember 6, 2014 21:45:04 UTC 2014 年 12 月 7 日 (日) 6 時 45 分 4 秒 (日本時間)
4511e6580 / 4413CypJuly 30, 2015 16:47:43 UTC 2015 年 7 月 31 日 (金) 1 時 47 分 43 秒 (日本時間)

136×10249-19

c225

name 名前Cyp
date 日付December 8, 2014 06:13:17 UTC 2014 年 12 月 8 日 (月) 15 時 13 分 17 秒 (日本時間)
composite number 合成数
190073180506474192454836388197215275747356183851190075213685486329434451199747402421205373125315739935178420128529548662376802333340142902441139603760837931857321499538022439841572997689146319006671138848975379356118655564923<225>
prime factors 素因数
52285177647074715541509064851203<32>
3635316719959705979069705986527812824655373601241241881522633239503629809652180545518819096906235739428564751281235341382453109451163159357611359532697653912370815958538223859475512599235475241<193>
factorization results 素因数分解の結果
Run 243 out of 280:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4269913354
Step 1 took 21769ms
Step 2 took 7015ms
********** Factor found in step 2: 52285177647074715541509064851203
Found probable prime factor of 32 digits: 52285177647074715541509064851203
Probable prime cofactor 3635316719959705979069705986527812824655373601241241881522633239503629809652180545518819096906235739428564751281235341382453109451163159357611359532697653912370815958538223859475512599235475241 has 193 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
3025e40--
351e6118 / 222Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6243 / 2318CypDecember 8, 2014 06:13:16 UTC 2014 年 12 月 8 日 (月) 15 時 13 分 16 秒 (日本時間)

136×10250-19

c222

composite cofactor 合成数の残り
195646283280737388919941958487838980204142596745714496624541063855667109091600327257132036799401910877754375247348216768908290192240042242986965084184027877253761805324788402055199526936424046252836480730926409559095467001<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e61280280CypDecember 7, 2014 08:42:24 UTC 2014 年 12 月 7 日 (日) 17 時 42 分 24 秒 (日本時間)
1000Dmitry DomanovDecember 17, 2014 13:30:01 UTC 2014 年 12 月 17 日 (水) 22 時 30 分 1 秒 (日本時間)
4511e6600 / 4192Dmitry DomanovApril 27, 2015 14:06:04 UTC 2015 年 4 月 27 日 (月) 23 時 6 分 4 秒 (日本時間)

136×10251-19

c236

composite cofactor 合成数の残り
98142500900467657619102388710861794152788231851297521475398728933544769996971049015048025809568269176255111541283141601433034653331856994210322411374959529230288662216773925109427128361261239703615919140066998666864176614510535484158987<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6325KTakahashiNovember 20, 2015 13:46:44 UTC 2015 年 11 月 20 日 (金) 22 時 46 分 44 秒 (日本時間)
403e6600 / 2247Dmitry DomanovMarch 10, 2016 16:47:21 UTC 2016 年 3 月 11 日 (金) 1 時 47 分 21 秒 (日本時間)

136×10254-19

c256

composite cofactor 合成数の残り
1511111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovNovember 21, 2015 09:24:07 UTC 2015 年 11 月 21 日 (土) 18 時 24 分 7 秒 (日本時間)
4511e6800Dmitry DomanovFebruary 4, 2016 23:44:59 UTC 2016 年 2 月 5 日 (金) 8 時 44 分 59 秒 (日本時間)
5043e65400600Dmitry DomanovFebruary 9, 2016 15:43:29 UTC 2016 年 2 月 10 日 (水) 0 時 43 分 29 秒 (日本時間)
2400Dmitry DomanovJanuary 5, 2017 12:56:51 UTC 2017 年 1 月 5 日 (木) 21 時 56 分 51 秒 (日本時間)
2400Dmitry DomanovFebruary 4, 2017 16:19:19 UTC 2017 年 2 月 5 日 (日) 1 時 19 分 19 秒 (日本時間)
5511e7825 / 15787200Dmitry DomanovFebruary 13, 2016 21:08:17 UTC 2016 年 2 月 14 日 (日) 6 時 8 分 17 秒 (日本時間)
625Dmitry DomanovFebruary 25, 2017 16:37:12 UTC 2017 年 2 月 26 日 (日) 1 時 37 分 12 秒 (日本時間)

136×10255-19

c249

composite cofactor 合成数の残り
167200713737555000382797428183042740398453832545684579883563070371963817760629525046812603801753029898535341049506118782040121072643181430661193366055471957042812297219573719887023903851268906563405866343017228618491673337452642564681322564087809207<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)

136×10256-19

c243

composite cofactor 合成数の残り
139413985225290096753188229898313878270434568332248584788193810576566619176797094847322220344565270868189430648302042422848830987215285490869630767023221957735838344498372104451394717326005706204143708143350277599455452582869845455623872945543<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6325KTakahashiNovember 20, 2015 13:47:22 UTC 2015 年 11 月 20 日 (金) 22 時 47 分 22 秒 (日本時間)
403e6600 / 2247Dmitry DomanovMarch 10, 2016 16:48:08 UTC 2016 年 3 月 11 日 (金) 1 時 48 分 8 秒 (日本時間)

136×10257-19

c199

composite cofactor 合成数の残り
2342183400181181277832370682719294902514467454538897884509844468277786700238744567057721385483914365240091238228072240960625932468605131375247655336082466198782863279363723843123421885429596743359261<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6325KTakahashiNovember 20, 2015 13:47:49 UTC 2015 年 11 月 20 日 (金) 22 時 47 分 49 秒 (日本時間)
403e6600Dmitry DomanovMarch 10, 2016 16:48:23 UTC 2016 年 3 月 11 日 (金) 1 時 48 分 23 秒 (日本時間)
4511e6600 / 4331Dmitry DomanovJanuary 10, 2017 10:45:52 UTC 2017 年 1 月 10 日 (火) 19 時 45 分 52 秒 (日本時間)

136×10259-19

c243

composite cofactor 合成数の残り
316725499318357528056872345756975957491978332994988149383898820389756012029399107837856290080361971328247424399576488409020798434152010504405949436251975994614409478987509642042929409100640260742277458347818323921680849260960850866131876489469<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6325KTakahashiNovember 20, 2015 13:48:10 UTC 2015 年 11 月 20 日 (金) 22 時 48 分 10 秒 (日本時間)
403e6600 / 2247Dmitry DomanovMarch 10, 2016 16:48:40 UTC 2016 年 3 月 11 日 (金) 1 時 48 分 40 秒 (日本時間)

136×10260-19

c260

composite cofactor 合成数の残り
11030008110300081103000811030008110300081103000811030008110300081103000811030008110300081103000811030008110300081103000811030008110300081103000811030008110300081103000811030008110300081103000811030008110300081103000811030008110300081103000811030008110300081103<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovNovember 20, 2015 22:25:35 UTC 2015 年 11 月 21 日 (土) 7 時 25 分 35 秒 (日本時間)
4511e6800 / 4305Dmitry DomanovFebruary 4, 2016 18:01:22 UTC 2016 年 2 月 5 日 (金) 3 時 1 分 22 秒 (日本時間)

136×10261-19

c232

composite cofactor 合成数の残り
3320119931748335667884752035985083693144791522863401894724516960935987576319075764238299292892759472828138244384541348911701180574248523933915380528502656411433206278534607680659624896873901794161885739930860952936793419889245085703<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6325KTakahashiNovember 20, 2015 13:48:28 UTC 2015 年 11 月 20 日 (金) 22 時 48 分 28 秒 (日本時間)
403e6600 / 2247Dmitry DomanovMarch 11, 2016 06:29:17 UTC 2016 年 3 月 11 日 (金) 15 時 29 分 17 秒 (日本時間)

136×10262-19

c229

composite cofactor 合成数の残り
3551371312945337670470960355330107837649580663836096682744998263309314560001891669880547308302281893562021640684725485568014625115444494482382344736430825258298094938683566081845227878985985630373581440604836531621243796530970867<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6325KTakahashiNovember 20, 2015 13:48:39 UTC 2015 年 11 月 20 日 (金) 22 時 48 分 39 秒 (日本時間)
403e6600 / 2247Dmitry DomanovMarch 11, 2016 06:29:28 UTC 2016 年 3 月 11 日 (金) 15 時 29 分 28 秒 (日本時間)

136×10263-19

c212

name 名前KTakahashi
date 日付November 20, 2015 13:50:25 UTC 2015 年 11 月 20 日 (金) 22 時 50 分 25 秒 (日本時間)
composite number 合成数
58005604445794024845772190251534265334385779430718006563066871450895860446041279040234604641077864348979781676376534247210392193290427478569713988381009659938383585669974626006395126005089714766096673584710044371<212>
prime factors 素因数
1246623805875804383215517549401117<34>
composite cofactor 合成数の残り
46530159437347425961295865648645289243337652942824796224150571623034932188312754125062185732305824071772628728118399239884265272062274823191667197686683835413024589207722159622063<179>
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 58005604445794024845772190251534265334385779430718006563066871450895860446041279040234604641077864348979781676376534247210392193290427478569713988381009659938383585669974626006395126005089714766096673584710044371 (212 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2797010561
Step 1 took 6755ms
Step 2 took 3526ms
********** Factor found in step 2: 1246623805875804383215517549401117
Found probable prime factor of 34 digits: 1246623805875804383215517549401117
Composite cofactor 46530159437347425961295865648645289243337652942824796224150571623034932188312754125062185732305824071772628728118399239884265272062274823191667197686683835413024589207722159622063 has 179 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6325KTakahashiNovember 20, 2015 13:49:02 UTC 2015 年 11 月 20 日 (金) 22 時 49 分 2 秒 (日本時間)
403e62250600Dmitry DomanovNovember 21, 2015 13:31:44 UTC 2015 年 11 月 21 日 (土) 22 時 31 分 44 秒 (日本時間)
1650Serge BatalovNovember 21, 2015 20:21:17 UTC 2015 年 11 月 22 日 (日) 5 時 21 分 17 秒 (日本時間)
4511e6800Dmitry DomanovFebruary 10, 2016 13:34:27 UTC 2016 年 2 月 10 日 (水) 22 時 34 分 27 秒 (日本時間)
5043e6600 / 6925Dmitry DomanovFebruary 11, 2016 14:27:13 UTC 2016 年 2 月 11 日 (木) 23 時 27 分 13 秒 (日本時間)
5511e7150 / 17487Dmitry DomanovFebruary 27, 2016 22:07:01 UTC 2016 年 2 月 28 日 (日) 7 時 7 分 1 秒 (日本時間)

136×10266-19

c265

composite cofactor 合成数の残り
8348680171884591774094536525475751995089011663597298956414978514426028238182934315531000613873542050337630448127685696746470227133210558624923265807243707796193984039287906691221608348680171884591774094536525475751995089011663597298956414978514426028238182934315531<265>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovNovember 20, 2015 22:24:37 UTC 2015 年 11 月 21 日 (土) 7 時 24 分 37 秒 (日本時間)
4511e6800 / 4305Dmitry DomanovJanuary 23, 2016 15:51:14 UTC 2016 年 1 月 24 日 (日) 0 時 51 分 14 秒 (日本時間)

136×10267-19

c226

composite cofactor 合成数の残り
4699265984680975967612371205561219973872164066853610865702429919710118974724392696657640381005576710099245949263463835806578468958276165235810075633777343739830467097068417015664078185613890501125736807457953593613476446391499<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6325KTakahashiNovember 20, 2015 13:51:25 UTC 2015 年 11 月 20 日 (金) 22 時 51 分 25 秒 (日本時間)
403e6600 / 2247Dmitry DomanovMarch 11, 2016 06:27:47 UTC 2016 年 3 月 11 日 (金) 15 時 27 分 47 秒 (日本時間)

136×10268-19

c228

composite cofactor 合成数の残り
158843973066283914492736257084088790163626163445506685611080965817785040761676251100848955280148476915551397037960348932399382582531218685373739809901599428538947640417522251224698791561685090978393415146527212078983864487857713<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6325KTakahashiNovember 20, 2015 13:51:39 UTC 2015 年 11 月 20 日 (金) 22 時 51 分 39 秒 (日本時間)
403e6600 / 2247Dmitry DomanovMarch 11, 2016 06:27:58 UTC 2016 年 3 月 11 日 (金) 15 時 27 分 58 秒 (日本時間)

136×10270-19

c271

composite cofactor 合成数の残り
5037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037<271>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovNovember 20, 2015 20:44:54 UTC 2015 年 11 月 21 日 (土) 5 時 44 分 54 秒 (日本時間)
4511e6800 / 4305Dmitry DomanovJanuary 23, 2016 15:48:57 UTC 2016 年 1 月 24 日 (日) 0 時 48 分 57 秒 (日本時間)

136×10271-19

c233

name 名前Dmitry Domanov
date 日付March 11, 2016 09:04:09 UTC 2016 年 3 月 11 日 (金) 18 時 4 分 9 秒 (日本時間)
composite number 合成数
44475591128947465926428296816106586464966427671242990092765691749086060648419175966230516049861463701805236539561389587441637524978086108146656713345211307481247102257650252490974001537071076925718070488796731392226876203393084615041<233>
prime factors 素因数
2737422201575630618747127820076611<34>
composite cofactor 合成数の残り
16247253019043900717649990209355970940539857099936129773494120302536750848143149250827848353739280269466651295014504401536409652246218962502066013229154294217067845488658208928902421404104054374289131<200>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=14164718
Step 1 took 31052ms
Step 2 took 11416ms
********** Factor found in step 2: 2737422201575630618747127820076611
Found probable prime factor of 34 digits: 2737422201575630618747127820076611

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6325KTakahashiNovember 20, 2015 13:52:10 UTC 2015 年 11 月 20 日 (金) 22 時 52 分 10 秒 (日本時間)
403e6600Dmitry DomanovMarch 11, 2016 06:28:16 UTC 2016 年 3 月 11 日 (金) 15 時 28 分 16 秒 (日本時間)
4511e6600 / 4331Dmitry DomanovJanuary 10, 2017 13:30:33 UTC 2017 年 1 月 10 日 (火) 22 時 30 分 33 秒 (日本時間)

136×10272-19

c243

composite cofactor 合成数の残り
640517034275643979024024297401811265832798505404068273048318197821808880454832192943587092511263927555688862715588921913074968058515166476145153134823648960772733869948562144840938556087567591483378551662749188674577799131222127939425906300111<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6325KTakahashiNovember 20, 2015 13:52:20 UTC 2015 年 11 月 20 日 (金) 22 時 52 分 20 秒 (日本時間)
403e6600 / 2247Dmitry DomanovMarch 11, 2016 06:28:25 UTC 2016 年 3 月 11 日 (金) 15 時 28 分 25 秒 (日本時間)

136×10273-19

c267

composite cofactor 合成数の残り
173497518474561136209121804765888297733090481202422204468578357493711132752630250126920132278641408239657143491210678862072589389471200778864039362361767016247199356174182134579593564024334287374500235135701205267997515357346530381253155302732930487148896564138448453<267>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)

136×10274-19

c227

name 名前KTakahashi
date 日付November 20, 2015 13:53:48 UTC 2015 年 11 月 20 日 (金) 22 時 53 分 48 秒 (日本時間)
composite number 合成数
24336405563130687856168771914890918591497240160402707371203783164563356450078847909260552843600884627936675679035453404775602376509470843249772282278497650265312768894863527268910057515425840864476976267591832213810057196155181<227>
prime factors 素因数
102175201564657578957880780758173<33>
composite cofactor 合成数の残り
238183093259966271730623610151096222935278895688690772604666515540621737214587661790734525231005158936138104828188059402418148599333139877354128975012123062660407985462835953869070869482283538897<195>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM]
Input number is 24336405563130687856168771914890918591497240160402707371203783164563356450078847909260552843600884627936675679035453404775602376509470843249772282278497650265312768894863527268910057515425840864476976267591832213810057196155181 (227 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3201241363
Step 1 took 7238ms
Step 2 took 3994ms
********** Factor found in step 2: 102175201564657578957880780758173
Found probable prime factor of 33 digits: 102175201564657578957880780758173
Composite cofactor 238183093259966271730623610151096222935278895688690772604666515540621737214587661790734525231005158936138104828188059402418148599333139877354128975012123062660407985462835953869070869482283538897 has 195 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6325KTakahashiNovember 20, 2015 13:52:50 UTC 2015 年 11 月 20 日 (金) 22 時 52 分 50 秒 (日本時間)
403e6600Dmitry DomanovMarch 10, 2016 16:49:23 UTC 2016 年 3 月 11 日 (金) 1 時 49 分 23 秒 (日本時間)
4511e6600 / 4331Dmitry DomanovJanuary 10, 2017 13:30:03 UTC 2017 年 1 月 10 日 (火) 22 時 30 分 3 秒 (日本時間)

136×10275-19

c274

composite cofactor 合成数の残り
2957164601000217438573602957164601000217438573602957164601000217438573602957164601000217438573602957164601000217438573602957164601000217438573602957164601000217438573602957164601000217438573602957164601000217438573602957164601000217438573602957164601000217438573602957164601<274>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovNovember 20, 2015 20:43:39 UTC 2015 年 11 月 21 日 (土) 5 時 43 分 39 秒 (日本時間)
4511e6800 / 4305Dmitry DomanovJanuary 23, 2016 15:35:50 UTC 2016 年 1 月 24 日 (日) 0 時 35 分 50 秒 (日本時間)

136×10276-19

c253

composite cofactor 合成数の残り
1154650826517680585702287844936009537510749983768151156374283809665811481214034695037389416821894841083653703918976159534982152907976019726964916921251761005799966945033298361457630452888505482920527588563042600561018285689256465490644674078222428783063<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6325KTakahashiNovember 20, 2015 13:54:45 UTC 2015 年 11 月 20 日 (金) 22 時 54 分 45 秒 (日本時間)
403e6600 / 2247Dmitry DomanovMarch 11, 2016 06:28:46 UTC 2016 年 3 月 11 日 (金) 15 時 28 分 46 秒 (日本時間)

136×10277-19

c239

name 名前KTakahashi
date 日付November 20, 2015 13:56:04 UTC 2015 年 11 月 20 日 (金) 22 時 56 分 4 秒 (日本時間)
composite number 合成数
28840681533000493254929070168262638362788967414415307528589571122145630704220524647949269037210759693290393378941174863182788038595485593761658023545585672303881052166822983879338504410044279398906337665277294871917918376663695236573698083<239>
prime factors 素因数
32114143216326717177277849629719<32>
composite cofactor 合成数の残り
898067911658872856221370536375300315841110177904797882668341139099811466477204743471763350176536569412703122011475504037215666148321216389755194457947694497886092426574224176594944089046083159577691343103957<207>
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 28840681533000493254929070168262638362788967414415307528589571122145630704220524647949269037210759693290393378941174863182788038595485593761658023545585672303881052166822983879338504410044279398906337665277294871917918376663695236573698083 (239 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3225904466
Step 1 took 8112ms
Step 2 took 4180ms
********** Factor found in step 2: 32114143216326717177277849629719
Found probable prime factor of 32 digits: 32114143216326717177277849629719
Composite cofactor 898067911658872856221370536375300315841110177904797882668341139099811466477204743471763350176536569412703122011475504037215666148321216389755194457947694497886092426574224176594944089046083159577691343103957 has 207 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6325KTakahashiNovember 20, 2015 13:55:04 UTC 2015 年 11 月 20 日 (金) 22 時 55 分 4 秒 (日本時間)
403e6600 / 2247Dmitry DomanovMarch 11, 2016 06:28:58 UTC 2016 年 3 月 11 日 (金) 15 時 28 分 58 秒 (日本時間)

136×10278-19

c280

name 名前Dmitry Domanov
date 日付January 25, 2016 06:09:29 UTC 2016 年 1 月 25 日 (月) 15 時 9 分 29 秒 (日本時間)
composite number 合成数
1511111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<280>
prime factors 素因数
13024251049254966175972798422372170385722701<44>
116022879580285123631693083583969431391963334459681626671039293285061842487783636635343832667645548186317238203345863425361321816385353233538448816670048278912562238946484631875985016465858874104825089638552296120158310527153201230381411<237>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=428874603
Step 1 took 156029ms
Step 2 took 47236ms
********** Factor found in step 2: 13024251049254966175972798422372170385722701
Found probable prime factor of 44 digits: 13024251049254966175972798422372170385722701

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovNovember 20, 2015 20:43:01 UTC 2015 年 11 月 21 日 (土) 5 時 43 分 1 秒 (日本時間)
4511e6800 / 4305Dmitry DomanovJanuary 23, 2016 11:33:49 UTC 2016 年 1 月 23 日 (土) 20 時 33 分 49 秒 (日本時間)

136×10281-19

c247

composite cofactor 合成数の残り
4266686726958544312081687693682003437729716593208583323492962671332601652868738626902470582922905379239116712767109565803900970472539504197012368844941674412827099613569842003122359152890676713916160184298498567529429898131924393278425590990899967<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)

136×10284-19

c274

name 名前KTakahashi
date 日付November 20, 2015 13:58:16 UTC 2015 年 11 月 20 日 (金) 22 時 58 分 16 秒 (日本時間)
composite number 合成数
2212827397520939732632842831787699101816106815526430085816687586253323095508666857092344177726074328372678693948185191341187644409273107537179024605023456694469557838158190715398769533594954596232734043553576516154236908106997848237408068940501014884513177973000161830590703<274>
prime factors 素因数
2366869219128189517558685628517<31>
composite cofactor 合成数の残り
934917476486516897140336850934619965634234372978981348823234218922772084987495633693119427236998887421932176023530668237491817194049233623471037061937760216754743983941296991452326043874019271548226066909594213679448406955536576706999442494659<243>
factorization results 素因数分解の結果
Input number is (136*10^284-1)/9/137/4984576801 (274 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2371875989
Step 1 took 12309ms
Step 2 took 6021ms
********** Factor found in step 2: 2366869219128189517558685628517
Found probable prime factor of 31 digits: 2366869219128189517558685628517
Composite cofactor
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
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6325KTakahashiNovember 20, 2015 13:57:36 UTC 2015 年 11 月 20 日 (金) 22 時 57 分 36 秒 (日本時間)
403e6600 / 2247Dmitry DomanovMarch 9, 2016 11:41:16 UTC 2016 年 3 月 9 日 (水) 20 時 41 分 16 秒 (日本時間)

136×10285-19

c248

composite cofactor 合成数の残り
14507200397978039681782454904370513048690656352900837759207924342608100721977881878063363940927684896278275514804742247467083308287093819653955222912364934600492085413192638723368693703415947594536163734058152943293136252103456496476867572142201297<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6325KTakahashiNovember 20, 2015 13:59:38 UTC 2015 年 11 月 20 日 (金) 22 時 59 分 38 秒 (日本時間)
403e6600 / 2247Dmitry DomanovMarch 9, 2016 11:41:32 UTC 2016 年 3 月 9 日 (水) 20 時 41 分 32 秒 (日本時間)

136×10286-19

c259

composite cofactor 合成数の残り
1875006937819675257721491903675657560836047685356799398884932581995653936504624375801069631706691755454766824059746356185238818276017408749952080518492517842756706383475738025470915655211717060862520239663545215292049536881346140196895323538503372198687808229<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6325KTakahashiNovember 20, 2015 13:59:54 UTC 2015 年 11 月 20 日 (金) 22 時 59 分 54 秒 (日本時間)
403e6600 / 2247Dmitry DomanovMarch 9, 2016 11:41:42 UTC 2016 年 3 月 9 日 (水) 20 時 41 分 42 秒 (日本時間)

136×10287-19

c268

composite cofactor 合成数の残り
2093522427681445094342161542780127395051634063408480736157132767658306925645772868566435203615830101988702442561197532162792802836331445469987251901996472490103364908993868261485529643889164387470016099387197851708232702887004663065980933009516509429628040076726989049<268>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6325KTakahashiNovember 20, 2015 14:00:08 UTC 2015 年 11 月 20 日 (金) 23 時 0 分 8 秒 (日本時間)
403e6600 / 2247Dmitry DomanovMarch 9, 2016 11:41:52 UTC 2016 年 3 月 9 日 (水) 20 時 41 分 52 秒 (日本時間)

136×10289-19

c246

composite cofactor 合成数の残り
222358476852374488804191671868446773767319089433936512913861733726617837860589331404238911785739647022103226159056644777234375087832798693708068317281730328317535321568655810918059939639502771075707050615412926392085323390235773816232331134637783<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6325KTakahashiNovember 20, 2015 14:00:31 UTC 2015 年 11 月 20 日 (金) 23 時 0 分 31 秒 (日本時間)
403e6600 / 2247Dmitry DomanovMarch 9, 2016 11:42:02 UTC 2016 年 3 月 9 日 (水) 20 時 42 分 2 秒 (日本時間)

136×10290-19

c286

composite cofactor 合成数の残り
9233064963437741646622089972144657687510989723462915326684168755987065562229160598981511466312551469245407398807984157146765677710362825507971325902073841437045093338818860164552226899855869140313394665325156639626006556833927711890354637951834630375290145671966853296781258507488626697<286>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovNovember 20, 2015 13:43:11 UTC 2015 年 11 月 20 日 (金) 22 時 43 分 11 秒 (日本時間)
4511e6800 / 4305Dmitry DomanovDecember 31, 2015 00:27:20 UTC 2015 年 12 月 31 日 (木) 9 時 27 分 20 秒 (日本時間)

136×10291-19

c267

name 名前Dmitry Domanov
date 日付March 9, 2016 16:18:27 UTC 2016 年 3 月 10 日 (木) 1 時 18 分 27 秒 (日本時間)
composite number 合成数
127102034012304509288432664078053609582376243659450760129625569663933800411893715748872567792103109027938068474584058656333054181646567446092003487568956344350868768155829497183590863690507746753067624004315520769100076975941152776773523758166056834024919039495607637<267>
prime factors 素因数
575622351101095999681615940142543491<36>
composite cofactor 合成数の残り
220808024165798421798372561823846908162511056511251424145632316345561603353513993873927700470604557118719088422372179457747090238316504541191212754955216363457636563704932316813929458133802349357092495476388147898965284098028155207<231>
factorization results 素因数分解の結果
sing B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=829540251
Step 1 took 30346ms
Step 2 took 9543ms
********** Factor found in step 2: 575622351101095999681615940142543491
Found probable prime factor of 36 digits: 575622351101095999681615940142543491

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6325KTakahashiNovember 20, 2015 14:00:57 UTC 2015 年 11 月 20 日 (金) 23 時 0 分 57 秒 (日本時間)
403e6600 / 2247Dmitry DomanovMarch 9, 2016 11:39:53 UTC 2016 年 3 月 9 日 (水) 20 時 39 分 53 秒 (日本時間)

136×10293-19

c235

composite cofactor 合成数の残り
1899211459662722710080025402112234154316033353701773987606796382886620691814424776373693182479494681684018742971631023709595242556513804674293099523284218366423723775963324124787324275920284420234056536173784497082515413348301278903099<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6325KTakahashiNovember 20, 2015 14:01:20 UTC 2015 年 11 月 20 日 (金) 23 時 1 分 20 秒 (日本時間)
403e6600 / 2247Dmitry DomanovMarch 9, 2016 11:40:06 UTC 2016 年 3 月 9 日 (水) 20 時 40 分 6 秒 (日本時間)

136×10296-19

c275

composite cofactor 合成数の残り
10098661433805090538327095355883400029834747198824067209741907855177781455101881156250019962678508732923147686443166031393224821558484533904352758356534590998719021273993092909663941702205249067103467028148775066631051707413555510526096431245722920075628175901083278912939711<275>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6325KTakahashiNovember 20, 2015 14:01:55 UTC 2015 年 11 月 20 日 (金) 23 時 1 分 55 秒 (日本時間)
403e6600 / 2247Dmitry DomanovMarch 9, 2016 11:40:15 UTC 2016 年 3 月 9 日 (水) 20 時 40 分 15 秒 (日本時間)

136×10297-19

c265

name 名前Dmitry Domanov
date 日付March 9, 2016 13:32:33 UTC 2016 年 3 月 9 日 (水) 22 時 32 分 33 秒 (日本時間)
composite number 合成数
3554156687272305671502138745733152141807799154368954181705480403309750618439941370036029312127014734574980763398078727226694110047198022270296482096600686257986231055652958680172891949168147731386460718122818523073804053718249968693494040998882187019504792393461191<265>
prime factors 素因数
1650063051010000252691314764014453<34>
composite cofactor 合成数の残り
2153952047527404215987071317817517569416219283852394559592167422874412423817218645594184692497124358697426113679416742643185139636079256750928616508893372444627911548553017415168196435005844005887489057603364162733721091132050182347<232>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=163011575
Step 1 took 29541ms
Step 2 took 8684ms
********** Factor found in step 2: 1650063051010000252691314764014453
Found probable prime factor of 34 digits: 1650063051010000252691314764014453

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6325KTakahashiNovember 20, 2015 14:02:05 UTC 2015 年 11 月 20 日 (金) 23 時 2 分 5 秒 (日本時間)
403e6600 / 2247Dmitry DomanovMarch 9, 2016 11:40:26 UTC 2016 年 3 月 9 日 (水) 20 時 40 分 26 秒 (日本時間)

136×10299-19

c249

composite cofactor 合成数の残り
340345690881506106970802378496967143989849725665988045452712542925964207241226833367454291338524167461927160345282783416675803214845736419661932398190821055941510355899111385915297510186888170688222248448759060015239934944161795898711034591361452809<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6325KTakahashiNovember 20, 2015 14:02:22 UTC 2015 年 11 月 20 日 (金) 23 時 2 分 22 秒 (日本時間)
403e6600 / 2247Dmitry DomanovMarch 9, 2016 11:40:40 UTC 2016 年 3 月 9 日 (水) 20 時 40 分 40 秒 (日本時間)

136×10300-19

c288

name 名前Dmitry Domanov
date 日付November 21, 2015 16:47:55 UTC 2015 年 11 月 22 日 (日) 1 時 47 分 55 秒 (日本時間)
composite number 合成数
431502877141512322141186892749710343232819098630446022633099343930427194592399539921275090346713765545544114560859997022620914006188287096026362008127353958081331625584353818071672441106276687095126920517675945583602829838870006427477246747053263615556908562189778624950536936384976290189<288>
prime factors 素因数
85598704202061480293966474541839199347<38>
5040997771682627931334201736747951103794773390150233114871477162085669465930944577469783281816006319112315687447965568423914309853764629157220758906303730119380559038775517789475871094217205324095705366129177866234121949563222482409470157017387801087<250>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=542775094
Step 1 took 53370ms
Step 2 took 16938ms
********** Factor found in step 2: 85598704202061480293966474541839199347
Found probable prime factor of 38 digits: 85598704202061480293966474541839199347

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6325KTakahashiNovember 20, 2015 14:02:34 UTC 2015 年 11 月 20 日 (金) 23 時 2 分 34 秒 (日本時間)
403e61200 / 2247Dmitry DomanovNovember 21, 2015 09:37:35 UTC 2015 年 11 月 21 日 (土) 18 時 37 分 35 秒 (日本時間)