Table of contents 目次

106×1098-13

c100

name 名前KTakahashi
date 日付December 19, 2014 12:53:15 UTC 2014 年 12 月 19 日 (金) 21 時 53 分 15 秒 (日本時間)
composite number 合成数
3533333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<100>
prime factors 素因数
18814133487333269293579713790942402401763437170327<50>
187802076333314614800305104569295972517104208782579<51>
factorization results 素因数分解の結果
Number: 35333_98
N=3533333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
  ( 100 digits)
SNFS difficulty: 101 digits.
Divisors found:
 r1=18814133487333269293579713790942402401763437170327 (pp50)
 r2=187802076333314614800305104569295972517104208782579 (pp51)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 0.26 hours.
Scaled time: 0.44 units (timescale=1.687).
Factorization parameters were as follows:
n: 3533333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
m: 10000000000000000000000000
c4: 53
c0: -50
skew: 0.99
type: snfs
Factor base limits: 300000/350000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [150000, 260001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 29183 x 29410
Total sieving time: 0.25 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,101.000,4,0,0,0,0,0,0,0,0,300000,350000,25,25,43,43,2.1,2.1,10000
total time: 0.26 hours.
 --------- CPU info (if available) ----------

ECM

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

106×10109-13

c111

name 名前KTakahashi
date 日付December 19, 2014 13:04:36 UTC 2014 年 12 月 19 日 (金) 22 時 4 分 36 秒 (日本時間)
composite number 合成数
353333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<111>
prime factors 素因数
389598318206813408524757519029704841622802839812456967<54>
906916988142055427884747062753677778126811531368999560899<57>
factorization results 素因数分解の結果
Number: 35333_109
N=353333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
  ( 111 digits)
SNFS difficulty: 111 digits.
Divisors found:
 r1=389598318206813408524757519029704841622802839812456967 (pp54)
 r2=906916988142055427884747062753677778126811531368999560899 (pp57)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.34 hours.
Scaled time: 2.34 units (timescale=1.742).
Factorization parameters were as follows:
n: 353333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
m: 10000000000000000000000
c5: 53
c0: -5
skew: 0.62
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, 450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 66821 x 67046
Total sieving time: 1.31 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,111.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.34 hours.
 --------- CPU info (if available) ----------

ECM

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

106×10111-13

c99

name 名前KTakahashi
date 日付December 19, 2014 13:09:37 UTC 2014 年 12 月 19 日 (金) 22 時 9 分 37 秒 (日本時間)
composite number 合成数
143499431436328961603649217613950603221867483029625949501677766056004438462960181080243832851336609<99>
prime factors 素因数
5744769674674839483303901473529036493009652919<46>
24979144432705423148929671564798903236344213333905511<53>
factorization results 素因数分解の結果
Number: 35333_111
N=143499431436328961603649217613950603221867483029625949501677766056004438462960181080243832851336609
  ( 99 digits)
SNFS difficulty: 113 digits.
Divisors found:
 r1=5744769674674839483303901473529036493009652919 (pp46)
 r2=24979144432705423148929671564798903236344213333905511 (pp53)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.56 hours.
Scaled time: 2.70 units (timescale=1.733).
Factorization parameters were as follows:
n: 143499431436328961603649217613950603221867483029625949501677766056004438462960181080243832851336609
m: 20000000000000000000000
c5: 265
c0: -8
skew: 0.50
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 : 71013 x 71240
Total sieving time: 1.51 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,113.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.56 hours.
 --------- CPU info (if available) ----------

ECM

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

106×10123-13

c120

name 名前Cyp
date 日付December 19, 2014 23:41:42 UTC 2014 年 12 月 20 日 (土) 8 時 41 分 42 秒 (日本時間)
composite number 合成数
553094459141451298989298144002838522507291976477831869720165510907961951275508872991771415452206899070696951197240789151<120>
prime factors 素因数
235256077798559000265778911858949215452027<42>
2351031541106646532790143358052686921922455854361848110601540848611948263226413<79>
factorization results 素因数分解の結果
12/19/14 23:49:43 v1.34.3, 
12/19/14 23:49:43 v1.34.3, ****************************
12/19/14 23:49:43 v1.34.3, Starting factorization of 553094459141451298989298144002838522507291976477831869720165510907961951275508872991771415452206899070696951197240789151
12/19/14 23:49:43 v1.34.3, using pretesting plan: none
12/19/14 23:49:43 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/19/14 23:49:43 v1.34.3, ****************************
12/19/14 23:49:43 v1.34.3, nfs: commencing nfs on c120: 553094459141451298989298144002838522507291976477831869720165510907961951275508872991771415452206899070696951197240789151
12/19/14 23:49:43 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/19/14 23:49:43 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/19/14 23:51:03 v1.34.3, nfs: commencing lattice sieving with 8 threads
[23 lines snipped]
12/20/14 00:34:23 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 00:36:17 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 00:37:58 v1.34.3, nfs: commencing msieve filtering
12/20/14 00:39:35 v1.34.3, nfs: commencing msieve linear algebra
12/20/14 00:41:21 v1.34.3, nfs: commencing msieve sqrt
12/20/14 00:41:41 v1.34.3, prp79 = 2351031541106646532790143358052686921922455854361848110601540848611948263226413
12/20/14 00:41:41 v1.34.3, prp42 = 235256077798559000265778911858949215452027
12/20/14 00:41:41 v1.34.3, NFS elapsed time = 3117.9513 seconds.
12/20/14 00:41:41 v1.34.3, 
12/20/14 00:41:41 v1.34.3, 
12/20/14 00:41:41 v1.34.3, Total factoring time = 3117.9525 seconds
--
Sat Dec 20 00:37:58 2014  
Sat Dec 20 00:37:58 2014  commencing relation filtering
Sat Dec 20 00:37:58 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 00:37:58 2014  commencing duplicate removal, pass 1
Sat Dec 20 00:38:22 2014  found 602318 hash collisions in 4610201 relations
Sat Dec 20 00:38:29 2014  added 167702 free relations
Sat Dec 20 00:38:29 2014  commencing duplicate removal, pass 2
Sat Dec 20 00:38:33 2014  found 418557 duplicates and 4359346 unique relations
Sat Dec 20 00:38:33 2014  memory use: 20.6 MB
Sat Dec 20 00:38:33 2014  reading ideals above 100000
Sat Dec 20 00:38:33 2014  commencing singleton removal, initial pass
Sat Dec 20 00:39:16 2014  memory use: 94.1 MB
Sat Dec 20 00:39:16 2014  reading all ideals from disk
Sat Dec 20 00:39:16 2014  memory use: 127.2 MB
Sat Dec 20 00:39:17 2014  keeping 4043887 ideals with weight <= 200, target excess is 24235
Sat Dec 20 00:39:17 2014  commencing in-memory singleton removal
Sat Dec 20 00:39:18 2014  begin with 4359346 relations and 4043887 unique ideals
Sat Dec 20 00:39:21 2014  reduce to 2281717 relations and 1401822 ideals in 8 passes
Sat Dec 20 00:39:21 2014  max relations containing the same ideal: 134
Sat Dec 20 00:39:22 2014  removing 934941 relations and 536827 ideals in 398114 cliques
Sat Dec 20 00:39:23 2014  commencing in-memory singleton removal
Sat Dec 20 00:39:23 2014  begin with 1346776 relations and 1401822 unique ideals
Sat Dec 20 00:39:24 2014  reduce to 1288877 relations and 800711 ideals in 6 passes
Sat Dec 20 00:39:24 2014  max relations containing the same ideal: 86
Sat Dec 20 00:39:24 2014  removing 295648 relations and 160963 ideals in 134685 cliques
Sat Dec 20 00:39:24 2014  commencing in-memory singleton removal
Sat Dec 20 00:39:24 2014  begin with 993229 relations and 800711 unique ideals
Sat Dec 20 00:39:25 2014  reduce to 975801 relations and 621250 ideals in 5 passes
Sat Dec 20 00:39:25 2014  max relations containing the same ideal: 69
Sat Dec 20 00:39:25 2014  removing 164837 relations and 88039 ideals in 76798 cliques
Sat Dec 20 00:39:25 2014  commencing in-memory singleton removal
Sat Dec 20 00:39:25 2014  begin with 810964 relations and 621250 unique ideals
Sat Dec 20 00:39:26 2014  reduce to 802224 relations and 524080 ideals in 5 passes
Sat Dec 20 00:39:26 2014  max relations containing the same ideal: 63
Sat Dec 20 00:39:26 2014  removing 113382 relations and 59900 ideals in 53482 cliques
Sat Dec 20 00:39:26 2014  commencing in-memory singleton removal
Sat Dec 20 00:39:26 2014  begin with 688842 relations and 524080 unique ideals
Sat Dec 20 00:39:26 2014  reduce to 683429 relations and 458548 ideals in 5 passes
Sat Dec 20 00:39:26 2014  max relations containing the same ideal: 56
Sat Dec 20 00:39:26 2014  removing 87664 relations and 46117 ideals in 41547 cliques
Sat Dec 20 00:39:26 2014  commencing in-memory singleton removal
Sat Dec 20 00:39:26 2014  begin with 595765 relations and 458548 unique ideals
Sat Dec 20 00:39:26 2014  reduce to 591629 relations and 408149 ideals in 5 passes
Sat Dec 20 00:39:26 2014  max relations containing the same ideal: 49
Sat Dec 20 00:39:27 2014  removing 72537 relations and 38057 ideals in 34480 cliques
Sat Dec 20 00:39:27 2014  commencing in-memory singleton removal
Sat Dec 20 00:39:27 2014  begin with 519092 relations and 408149 unique ideals
Sat Dec 20 00:39:27 2014  reduce to 515537 relations and 366417 ideals in 6 passes
Sat Dec 20 00:39:27 2014  max relations containing the same ideal: 46
Sat Dec 20 00:39:27 2014  removing 63052 relations and 33096 ideals in 29956 cliques
Sat Dec 20 00:39:27 2014  commencing in-memory singleton removal
Sat Dec 20 00:39:27 2014  begin with 452485 relations and 366417 unique ideals
Sat Dec 20 00:39:27 2014  reduce to 449333 relations and 330060 ideals in 4 passes
Sat Dec 20 00:39:27 2014  max relations containing the same ideal: 41
Sat Dec 20 00:39:27 2014  removing 57109 relations and 30093 ideals in 27016 cliques
Sat Dec 20 00:39:27 2014  commencing in-memory singleton removal
Sat Dec 20 00:39:27 2014  begin with 392224 relations and 330060 unique ideals
Sat Dec 20 00:39:27 2014  reduce to 389005 relations and 296645 ideals in 5 passes
Sat Dec 20 00:39:27 2014  max relations containing the same ideal: 36
Sat Dec 20 00:39:27 2014  removing 52985 relations and 28041 ideals in 24944 cliques
Sat Dec 20 00:39:27 2014  commencing in-memory singleton removal
Sat Dec 20 00:39:28 2014  begin with 336020 relations and 296645 unique ideals
Sat Dec 20 00:39:28 2014  reduce to 332630 relations and 265107 ideals in 4 passes
Sat Dec 20 00:39:28 2014  max relations containing the same ideal: 33
Sat Dec 20 00:39:28 2014  removing 50051 relations and 26595 ideals in 23456 cliques
Sat Dec 20 00:39:28 2014  commencing in-memory singleton removal
Sat Dec 20 00:39:28 2014  begin with 282579 relations and 265107 unique ideals
Sat Dec 20 00:39:28 2014  reduce to 278940 relations and 234718 ideals in 4 passes
Sat Dec 20 00:39:28 2014  max relations containing the same ideal: 29
Sat Dec 20 00:39:28 2014  removing 35784 relations and 19675 ideals in 16109 cliques
Sat Dec 20 00:39:28 2014  commencing in-memory singleton removal
Sat Dec 20 00:39:28 2014  begin with 243156 relations and 234718 unique ideals
Sat Dec 20 00:39:28 2014  reduce to 239648 relations and 211381 ideals in 5 passes
Sat Dec 20 00:39:28 2014  max relations containing the same ideal: 26
Sat Dec 20 00:39:28 2014  relations with 0 large ideals: 509
Sat Dec 20 00:39:28 2014  relations with 1 large ideals: 1189
Sat Dec 20 00:39:28 2014  relations with 2 large ideals: 8848
Sat Dec 20 00:39:28 2014  relations with 3 large ideals: 31188
Sat Dec 20 00:39:28 2014  relations with 4 large ideals: 59930
Sat Dec 20 00:39:28 2014  relations with 5 large ideals: 67331
Sat Dec 20 00:39:28 2014  relations with 6 large ideals: 47373
Sat Dec 20 00:39:28 2014  relations with 7+ large ideals: 23280
Sat Dec 20 00:39:28 2014  commencing 2-way merge
Sat Dec 20 00:39:28 2014  reduce to 210282 relation sets and 182015 unique ideals
Sat Dec 20 00:39:28 2014  commencing full merge
Sat Dec 20 00:39:33 2014  memory use: 20.2 MB
Sat Dec 20 00:39:33 2014  found 95811 cycles, need 92215
Sat Dec 20 00:39:33 2014  weight of 92215 cycles is about 6714263 (72.81/cycle)
Sat Dec 20 00:39:33 2014  distribution of cycle lengths:
Sat Dec 20 00:39:33 2014  1 relations: 3956
Sat Dec 20 00:39:33 2014  2 relations: 7286
Sat Dec 20 00:39:33 2014  3 relations: 9534
Sat Dec 20 00:39:33 2014  4 relations: 9936
Sat Dec 20 00:39:33 2014  5 relations: 9877
Sat Dec 20 00:39:33 2014  6 relations: 9014
Sat Dec 20 00:39:33 2014  7 relations: 8218
Sat Dec 20 00:39:33 2014  8 relations: 7199
Sat Dec 20 00:39:33 2014  9 relations: 5875
Sat Dec 20 00:39:33 2014  10+ relations: 21320
Sat Dec 20 00:39:33 2014  heaviest cycle: 20 relations
Sat Dec 20 00:39:33 2014  commencing cycle optimization
Sat Dec 20 00:39:33 2014  start with 623468 relations
Sat Dec 20 00:39:35 2014  pruned 41735 relations
Sat Dec 20 00:39:35 2014  memory use: 16.2 MB
Sat Dec 20 00:39:35 2014  distribution of cycle lengths:
Sat Dec 20 00:39:35 2014  1 relations: 3956
Sat Dec 20 00:39:35 2014  2 relations: 7603
Sat Dec 20 00:39:35 2014  3 relations: 10296
Sat Dec 20 00:39:35 2014  4 relations: 10817
Sat Dec 20 00:39:35 2014  5 relations: 10847
Sat Dec 20 00:39:35 2014  6 relations: 9747
Sat Dec 20 00:39:35 2014  7 relations: 8740
Sat Dec 20 00:39:35 2014  8 relations: 7424
Sat Dec 20 00:39:35 2014  9 relations: 5961
Sat Dec 20 00:39:35 2014  10+ relations: 16824
Sat Dec 20 00:39:35 2014  heaviest cycle: 19 relations
Sat Dec 20 00:39:35 2014  RelProcTime: 97
Sat Dec 20 00:39:35 2014  
Sat Dec 20 00:39:35 2014  commencing linear algebra
Sat Dec 20 00:39:35 2014  read 92215 cycles
Sat Dec 20 00:39:36 2014  cycles contain 230271 unique relations
Sat Dec 20 00:39:45 2014  read 230271 relations
Sat Dec 20 00:39:45 2014  using 20 quadratic characters above 66072372
Sat Dec 20 00:39:47 2014  building initial matrix
Sat Dec 20 00:39:53 2014  memory use: 29.8 MB
Sat Dec 20 00:39:53 2014  read 92215 cycles
Sat Dec 20 00:39:53 2014  matrix is 92037 x 92215 (27.2 MB) with weight 8152890 (88.41/col)
Sat Dec 20 00:39:53 2014  sparse part has weight 6104700 (66.20/col)
Sat Dec 20 00:39:54 2014  filtering completed in 2 passes
Sat Dec 20 00:39:54 2014  matrix is 92006 x 92184 (27.2 MB) with weight 8151557 (88.43/col)
Sat Dec 20 00:39:54 2014  sparse part has weight 6104048 (66.22/col)
Sat Dec 20 00:39:54 2014  matrix starts at (0, 0)
Sat Dec 20 00:39:54 2014  matrix is 92006 x 92184 (27.2 MB) with weight 8151557 (88.43/col)
Sat Dec 20 00:39:54 2014  sparse part has weight 6104048 (66.22/col)
Sat Dec 20 00:39:54 2014  saving the first 48 matrix rows for later
Sat Dec 20 00:39:54 2014  matrix includes 64 packed rows
Sat Dec 20 00:39:54 2014  matrix is 91958 x 92184 (25.3 MB) with weight 6362296 (69.02/col)
Sat Dec 20 00:39:54 2014  sparse part has weight 5703104 (61.87/col)
Sat Dec 20 00:39:54 2014  using block size 36783 for processor cache size 8192 kB
Sat Dec 20 00:39:55 2014  commencing Lanczos iteration
Sat Dec 20 00:39:55 2014  memory use: 18.6 MB
Sat Dec 20 00:40:41 2014  linear algebra at 52.3%, ETA 0h 0m
Sat Dec 20 00:41:21 2014  lanczos halted after 1456 iterations (dim = 91958)
Sat Dec 20 00:41:21 2014  recovered 37 nontrivial dependencies
Sat Dec 20 00:41:21 2014  BLanczosTime: 106
Sat Dec 20 00:41:21 2014  
Sat Dec 20 00:41:21 2014  commencing square root phase
Sat Dec 20 00:41:21 2014  reading relations for dependency 1
Sat Dec 20 00:41:21 2014  read 46183 cycles
Sat Dec 20 00:41:21 2014  cycles contain 115288 unique relations
Sat Dec 20 00:41:26 2014  read 115288 relations
Sat Dec 20 00:41:27 2014  multiplying 115288 relations
Sat Dec 20 00:41:30 2014  multiply complete, coefficients have about 3.55 million bits
Sat Dec 20 00:41:30 2014  initial square root is modulo 151580981
Sat Dec 20 00:41:33 2014  Newton iteration failed to converge
Sat Dec 20 00:41:33 2014  algebraic square root failed
Sat Dec 20 00:41:33 2014  reading relations for dependency 2
Sat Dec 20 00:41:33 2014  read 46193 cycles
Sat Dec 20 00:41:33 2014  cycles contain 115192 unique relations
Sat Dec 20 00:41:36 2014  read 115192 relations
Sat Dec 20 00:41:36 2014  multiplying 115192 relations
Sat Dec 20 00:41:37 2014  multiply complete, coefficients have about 3.55 million bits
Sat Dec 20 00:41:37 2014  initial square root is modulo 149153171
Sat Dec 20 00:41:41 2014  sqrtTime: 20
--
n: 553094459141451298989298144002838522507291976477831869720165510907961951275508872991771415452206899070696951197240789151
m: 2000000000000000000000000
deg: 5
c5: 6625
c0: -2
skew: 0.20
# Murphy_E = 9.742e-09
type: snfs
lss: 1
rlim: 860000
alim: 860000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:01:22 UTC 2014 年 12 月 20 日 (土) 3 時 1 分 22 秒 (日本時間)

106×10131-13

c105

name 名前KTakahashi
date 日付December 19, 2014 14:34:40 UTC 2014 年 12 月 19 日 (金) 23 時 34 分 40 秒 (日本時間)
composite number 合成数
361714696941551324134106870591987308452507275843683718112369245516516887856485224089863232701987664392097<105>
prime factors 素因数
2818656007968357241967962757303<31>
128328783618498224627165172907147796137129913658700177852893321197275869799<75>
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 361714696941551324134106870591987308452507275843683718112369245516516887856485224089863232701987664392097 (105 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1765671658
Step 1 took 2777ms
Step 2 took 1747ms
********** Factor found in step 2: 2818656007968357241967962757303
Found probable prime factor of 31 digits: 2818656007968357241967962757303
Probable prime cofactor 128328783618498224627165172907147796137129913658700177852893321197275869799 has 75 digits

ECM

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

106×10135-13

c123

name 名前KTakahashi
date 日付December 19, 2014 15:24:04 UTC 2014 年 12 月 20 日 (土) 0 時 24 分 4 秒 (日本時間)
composite number 合成数
284622475504141699990368217275239189763867981011490487579562396099925233835299424695383374188841152161519127555654539371583<123>
prime factors 素因数
2340933932753385329543077020854251<34>
121585009949157906094345762995107141957908077869355341790419033243925211153018559019406333<90>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0] [P+1]
Input number is 284622475504141699990368217275239189763867981011490487579562396099925233835299424695383374188841152161519127555654539371583 (123 digits)
Using B1=20000000, B2=93552136480, polynomial x^1, x0=2270268000
Step 1 took 11716ms
Step 2 took 4196ms
********** Factor found in step 2: 2340933932753385329543077020854251
Found probable prime factor of 34 digits: 2340933932753385329543077020854251
Probable prime cofactor 121585009949157906094345762995107141957908077869355341790419033243925211153018559019406333 has 90 digits

ECM

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

106×10137-13

c99

name 名前KTakahashi
date 日付December 19, 2014 15:25:39 UTC 2014 年 12 月 20 日 (土) 0 時 25 分 39 秒 (日本時間)
composite number 合成数
518068809636609785443128965350797733508694314840336129597212655437187879230363764605808525053142491<99>
prime factors 素因数
1329825643107914632726524868993720566335507<43>
389576492468470756763340712537479190404270994766002418713<57>
factorization results 素因数分解の結果
Number: 35333_137
N=518068809636609785443128965350797733508694314840336129597212655437187879230363764605808525053142491
  ( 99 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=1329825643107914632726524868993720566335507 (pp43)
 r2=389576492468470756763340712537479190404270994766002418713 (pp57)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 6.27 hours.
Scaled time: 12.96 units (timescale=2.068).
Factorization parameters were as follows:
n: 518068809636609785443128965350797733508694314840336129597212655437187879230363764605808525053142491
m: 5000000000000000000000000000
c5: 424
c0: -125
skew: 0.78
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved rational special-q in [650000, 1650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 188266 x 188492
Total sieving time: 6.10 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,141.000,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 6.27 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 19, 2014 15:20:47 UTC 2014 年 12 月 20 日 (土) 0 時 20 分 47 秒 (日本時間)

106×10139-13

c126

name 名前Serge Batalov
date 日付December 21, 2014 01:59:00 UTC 2014 年 12 月 21 日 (日) 10 時 59 分 0 秒 (日本時間)
composite number 合成数
743372029125616115413283878363358056108650712556666710508607465003186028623105324062233180300438582973614381677659302704382051<126>
prime factors 素因数
2355176888997165307424624512306031<34>
315633204706820999429061684923178229284976614580857386769831307896865759074307973044496953421<93>
factorization results 素因数分解の結果
Input number is 743372029125616115413283878363358056108650712556666710508607465003186028623105324062233180300438582973614381677659302704382051 (126 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1927252981
Step 1 took 8536ms
Step 2 took 7458ms
********** Factor found in step 2: 2355176888997165307424624512306031
Found probable prime factor of 34 digits: 2355176888997165307424624512306031
Probable prime cofactor 315633204706820999429061684923178229284976614580857386769831307896865759074307973044496953421 has 93 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:23:06 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 6 秒 (日本時間)

106×10141-13

c133

name 名前Cyp
date 日付December 21, 2014 13:40:49 UTC 2014 年 12 月 21 日 (日) 22 時 40 分 49 秒 (日本時間)
composite number 合成数
6700729815304167603103930700659814929077815939902757910253473938739671399687915544356925873075970464848547999357830121709154190601687<133>
prime factors 素因数
3804580455747968252999139442348855201150035695671668750587608997<64>
1761226998151843715488302787232202823002120659876930653123444553645771<70>
factorization results 素因数分解の結果
12/21/14 13:32:18 v1.34.3, 
12/21/14 13:32:18 v1.34.3, ****************************
12/21/14 13:32:18 v1.34.3, Starting factorization of 6700729815304167603103930700659814929077815939902757910253473938739671399687915544356925873075970464848547999357830121709154190601687
12/21/14 13:32:18 v1.34.3, using pretesting plan: none
12/21/14 13:32:18 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/21/14 13:32:18 v1.34.3, ****************************
12/21/14 13:32:18 v1.34.3, nfs: commencing nfs on c133: 6700729815304167603103930700659814929077815939902757910253473938739671399687915544356925873075970464848547999357830121709154190601687
12/21/14 13:32:18 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/21/14 13:32:18 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 13:33:48 v1.34.3, nfs: commencing lattice sieving with 8 threads
[46 lines snipped]
12/21/14 14:31:30 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 14:33:10 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 14:34:44 v1.34.3, nfs: commencing msieve filtering
12/21/14 14:35:58 v1.34.3, nfs: commencing msieve linear algebra
12/21/14 14:40:11 v1.34.3, nfs: commencing msieve sqrt
12/21/14 14:40:43 v1.34.3, prp70 = 1761226998151843715488302787232202823002120659876930653123444553645771
12/21/14 14:40:43 v1.34.3, prp64 = 3804580455747968252999139442348855201150035695671668750587608997
12/21/14 14:40:43 v1.34.3, NFS elapsed time = 4105.1793 seconds.
12/21/14 14:40:43 v1.34.3, 
12/21/14 14:40:43 v1.34.3, 
12/21/14 14:40:43 v1.34.3, Total factoring time = 4105.1804 seconds
--
Sun Dec 21 14:34:44 2014  
Sun Dec 21 14:34:44 2014  commencing relation filtering
Sun Dec 21 14:34:44 2014  estimated available RAM is 15987.3 MB
Sun Dec 21 14:34:44 2014  commencing duplicate removal, pass 1
Sun Dec 21 14:35:04 2014  found 623515 hash collisions in 4513571 relations
Sun Dec 21 14:35:10 2014  added 180760 free relations
Sun Dec 21 14:35:10 2014  commencing duplicate removal, pass 2
Sun Dec 21 14:35:15 2014  found 457581 duplicates and 4236750 unique relations
Sun Dec 21 14:35:15 2014  memory use: 20.6 MB
Sun Dec 21 14:35:15 2014  reading ideals above 100000
Sun Dec 21 14:35:15 2014  commencing singleton removal, initial pass
Sun Dec 21 14:35:42 2014  memory use: 94.1 MB
Sun Dec 21 14:35:42 2014  reading all ideals from disk
Sun Dec 21 14:35:42 2014  memory use: 134.7 MB
Sun Dec 21 14:35:42 2014  keeping 4583382 ideals with weight <= 200, target excess is 22216
Sun Dec 21 14:35:43 2014  commencing in-memory singleton removal
Sun Dec 21 14:35:43 2014  begin with 4236750 relations and 4583382 unique ideals
Sun Dec 21 14:35:45 2014  reduce to 1810519 relations and 1525175 ideals in 11 passes
Sun Dec 21 14:35:45 2014  max relations containing the same ideal: 113
Sun Dec 21 14:35:46 2014  removing 473266 relations and 343479 ideals in 129787 cliques
Sun Dec 21 14:35:46 2014  commencing in-memory singleton removal
Sun Dec 21 14:35:46 2014  begin with 1337253 relations and 1525175 unique ideals
Sun Dec 21 14:35:47 2014  reduce to 1250530 relations and 1087344 ideals in 8 passes
Sun Dec 21 14:35:47 2014  max relations containing the same ideal: 89
Sun Dec 21 14:35:47 2014  removing 394708 relations and 264921 ideals in 129787 cliques
Sun Dec 21 14:35:47 2014  commencing in-memory singleton removal
Sun Dec 21 14:35:47 2014  begin with 855822 relations and 1087344 unique ideals
Sun Dec 21 14:35:48 2014  reduce to 780162 relations and 738814 ideals in 11 passes
Sun Dec 21 14:35:48 2014  max relations containing the same ideal: 65
Sun Dec 21 14:35:48 2014  removing 74020 relations and 58443 ideals in 15577 cliques
Sun Dec 21 14:35:48 2014  commencing in-memory singleton removal
Sun Dec 21 14:35:48 2014  begin with 706142 relations and 738814 unique ideals
Sun Dec 21 14:35:48 2014  reduce to 701091 relations and 675232 ideals in 5 passes
Sun Dec 21 14:35:48 2014  max relations containing the same ideal: 61
Sun Dec 21 14:35:48 2014  relations with 0 large ideals: 526
Sun Dec 21 14:35:48 2014  relations with 1 large ideals: 210
Sun Dec 21 14:35:48 2014  relations with 2 large ideals: 2976
Sun Dec 21 14:35:48 2014  relations with 3 large ideals: 21759
Sun Dec 21 14:35:48 2014  relations with 4 large ideals: 81241
Sun Dec 21 14:35:48 2014  relations with 5 large ideals: 168029
Sun Dec 21 14:35:48 2014  relations with 6 large ideals: 209634
Sun Dec 21 14:35:48 2014  relations with 7+ large ideals: 216716
Sun Dec 21 14:35:48 2014  commencing 2-way merge
Sun Dec 21 14:35:49 2014  reduce to 440174 relation sets and 414314 unique ideals
Sun Dec 21 14:35:49 2014  commencing full merge
Sun Dec 21 14:35:55 2014  memory use: 55.4 MB
Sun Dec 21 14:35:55 2014  found 223810 cycles, need 220514
Sun Dec 21 14:35:55 2014  weight of 220514 cycles is about 15813623 (71.71/cycle)
Sun Dec 21 14:35:55 2014  distribution of cycle lengths:
Sun Dec 21 14:35:55 2014  1 relations: 15608
Sun Dec 21 14:35:55 2014  2 relations: 19808
Sun Dec 21 14:35:55 2014  3 relations: 21988
Sun Dec 21 14:35:55 2014  4 relations: 22160
Sun Dec 21 14:35:55 2014  5 relations: 21814
Sun Dec 21 14:35:55 2014  6 relations: 20641
Sun Dec 21 14:35:55 2014  7 relations: 18522
Sun Dec 21 14:35:55 2014  8 relations: 16505
Sun Dec 21 14:35:55 2014  9 relations: 14043
Sun Dec 21 14:35:55 2014  10+ relations: 49425
Sun Dec 21 14:35:55 2014  heaviest cycle: 21 relations
Sun Dec 21 14:35:55 2014  commencing cycle optimization
Sun Dec 21 14:35:55 2014  start with 1447939 relations
Sun Dec 21 14:35:58 2014  pruned 47472 relations
Sun Dec 21 14:35:58 2014  memory use: 43.8 MB
Sun Dec 21 14:35:58 2014  distribution of cycle lengths:
Sun Dec 21 14:35:58 2014  1 relations: 15608
Sun Dec 21 14:35:58 2014  2 relations: 20215
Sun Dec 21 14:35:58 2014  3 relations: 22846
Sun Dec 21 14:35:58 2014  4 relations: 22894
Sun Dec 21 14:35:58 2014  5 relations: 22826
Sun Dec 21 14:35:58 2014  6 relations: 21156
Sun Dec 21 14:35:58 2014  7 relations: 19195
Sun Dec 21 14:35:58 2014  8 relations: 16837
Sun Dec 21 14:35:58 2014  9 relations: 14210
Sun Dec 21 14:35:58 2014  10+ relations: 44727
Sun Dec 21 14:35:58 2014  heaviest cycle: 21 relations
Sun Dec 21 14:35:58 2014  RelProcTime: 74
Sun Dec 21 14:35:58 2014  
Sun Dec 21 14:35:58 2014  commencing linear algebra
Sun Dec 21 14:35:58 2014  read 220514 cycles
Sun Dec 21 14:35:58 2014  cycles contain 686214 unique relations
Sun Dec 21 14:36:06 2014  read 686214 relations
Sun Dec 21 14:36:06 2014  using 20 quadratic characters above 67106064
Sun Dec 21 14:36:10 2014  building initial matrix
Sun Dec 21 14:36:17 2014  memory use: 83.2 MB
Sun Dec 21 14:36:17 2014  read 220514 cycles
Sun Dec 21 14:36:18 2014  matrix is 220337 x 220514 (66.5 MB) with weight 19944641 (90.45/col)
Sun Dec 21 14:36:18 2014  sparse part has weight 15007290 (68.06/col)
Sun Dec 21 14:36:19 2014  filtering completed in 2 passes
Sun Dec 21 14:36:19 2014  matrix is 220307 x 220484 (66.5 MB) with weight 19943459 (90.45/col)
Sun Dec 21 14:36:19 2014  sparse part has weight 15006732 (68.06/col)
Sun Dec 21 14:36:19 2014  matrix starts at (0, 0)
Sun Dec 21 14:36:19 2014  matrix is 220307 x 220484 (66.5 MB) with weight 19943459 (90.45/col)
Sun Dec 21 14:36:19 2014  sparse part has weight 15006732 (68.06/col)
Sun Dec 21 14:36:19 2014  saving the first 48 matrix rows for later
Sun Dec 21 14:36:19 2014  matrix includes 64 packed rows
Sun Dec 21 14:36:19 2014  matrix is 220259 x 220484 (62.7 MB) with weight 15817317 (71.74/col)
Sun Dec 21 14:36:19 2014  sparse part has weight 14228884 (64.53/col)
Sun Dec 21 14:36:19 2014  using block size 65536 for processor cache size 8192 kB
Sun Dec 21 14:36:20 2014  commencing Lanczos iteration (8 threads)
Sun Dec 21 14:36:20 2014  memory use: 59.6 MB
Sun Dec 21 14:36:33 2014  linear algebra at 5.5%, ETA 0h 3m
Sun Dec 21 14:40:11 2014  lanczos halted after 3484 iterations (dim = 220256)
Sun Dec 21 14:40:11 2014  recovered 36 nontrivial dependencies
Sun Dec 21 14:40:11 2014  BLanczosTime: 253
Sun Dec 21 14:40:11 2014  
Sun Dec 21 14:40:11 2014  commencing square root phase
Sun Dec 21 14:40:11 2014  reading relations for dependency 1
Sun Dec 21 14:40:11 2014  read 110138 cycles
Sun Dec 21 14:40:12 2014  cycles contain 343214 unique relations
Sun Dec 21 14:40:17 2014  read 343214 relations
Sun Dec 21 14:40:18 2014  multiplying 343214 relations
Sun Dec 21 14:40:29 2014  multiply complete, coefficients have about 9.94 million bits
Sun Dec 21 14:40:29 2014  initial square root is modulo 515041
Sun Dec 21 14:40:43 2014  sqrtTime: 32
--
n: 6700729815304167603103930700659814929077815939902757910253473938739671399687915544356925873075970464848547999357830121709154190601687
m: 10000000000000000000000000000
deg: 5
c5: 1060
c0: -1
skew: 0.25
# Murphy_E = 2.754e-09
type: snfs
lss: 1
rlim: 1690000
alim: 1690000
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 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:23:07 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 7 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:31 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 31 秒 (日本時間)

106×10144-13

c125

name 名前Cyp
date 日付December 22, 2014 02:57:12 UTC 2014 年 12 月 22 日 (月) 11 時 57 分 12 秒 (日本時間)
composite number 合成数
15404963381406294090411365700615084035488843068212750345163616418521565916138291570982660075804343739565430618241416667708439<125>
prime factors 素因数
1289612316881527395765588709864344536045385434053502381<55>
11945422030907525324986556016696374528852249159903148013116082114427219<71>
factorization results 素因数分解の結果
12/22/14 02:25:21 v1.34.3, 
12/22/14 02:25:21 v1.34.3, ****************************
12/22/14 02:25:21 v1.34.3, Starting factorization of 15404963381406294090411365700615084035488843068212750345163616418521565916138291570982660075804343739565430618241416667708439
12/22/14 02:25:21 v1.34.3, using pretesting plan: none
12/22/14 02:25:21 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/22/14 02:25:21 v1.34.3, ****************************
12/22/14 02:25:21 v1.34.3, nfs: commencing nfs on c125: 15404963381406294090411365700615084035488843068212750345163616418521565916138291570982660075804343739565430618241416667708439
12/22/14 02:25:21 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/22/14 02:25:21 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/22/14 02:26:52 v1.34.3, nfs: commencing lattice sieving with 8 threads
[50 lines snipped]
12/22/14 03:46:10 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/22/14 03:47:53 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/22/14 03:49:30 v1.34.3, nfs: commencing msieve filtering
12/22/14 03:51:00 v1.34.3, nfs: commencing msieve linear algebra
12/22/14 03:55:56 v1.34.3, nfs: commencing msieve sqrt
12/22/14 03:57:11 v1.34.3, prp71 = 11945422030907525324986556016696374528852249159903148013116082114427219
12/22/14 03:57:11 v1.34.3, prp55 = 1289612316881527395765588709864344536045385434053502381
12/22/14 03:57:11 v1.34.3, NFS elapsed time = 5510.2023 seconds.
12/22/14 03:57:11 v1.34.3, 
12/22/14 03:57:11 v1.34.3, 
12/22/14 03:57:11 v1.34.3, Total factoring time = 5510.2033 seconds
--
Mon Dec 22 03:49:30 2014  
Mon Dec 22 03:49:30 2014  commencing relation filtering
Mon Dec 22 03:49:30 2014  estimated available RAM is 15987.3 MB
Mon Dec 22 03:49:30 2014  commencing duplicate removal, pass 1
Mon Dec 22 03:49:53 2014  found 611025 hash collisions in 4493950 relations
Mon Dec 22 03:50:01 2014  added 183541 free relations
Mon Dec 22 03:50:01 2014  commencing duplicate removal, pass 2
Mon Dec 22 03:50:06 2014  found 443472 duplicates and 4234019 unique relations
Mon Dec 22 03:50:06 2014  memory use: 20.6 MB
Mon Dec 22 03:50:06 2014  reading ideals above 100000
Mon Dec 22 03:50:06 2014  commencing singleton removal, initial pass
Mon Dec 22 03:50:40 2014  memory use: 94.1 MB
Mon Dec 22 03:50:40 2014  reading all ideals from disk
Mon Dec 22 03:50:40 2014  memory use: 136.3 MB
Mon Dec 22 03:50:40 2014  keeping 4705122 ideals with weight <= 200, target excess is 21655
Mon Dec 22 03:50:41 2014  commencing in-memory singleton removal
Mon Dec 22 03:50:41 2014  begin with 4234019 relations and 4705122 unique ideals
Mon Dec 22 03:50:43 2014  reduce to 1702402 relations and 1518745 ideals in 14 passes
Mon Dec 22 03:50:43 2014  max relations containing the same ideal: 110
Mon Dec 22 03:50:44 2014  removing 371500 relations and 292231 ideals in 79269 cliques
Mon Dec 22 03:50:44 2014  commencing in-memory singleton removal
Mon Dec 22 03:50:44 2014  begin with 1330902 relations and 1518745 unique ideals
Mon Dec 22 03:50:45 2014  reduce to 1268669 relations and 1160604 ideals in 9 passes
Mon Dec 22 03:50:45 2014  max relations containing the same ideal: 88
Mon Dec 22 03:50:45 2014  removing 297826 relations and 218557 ideals in 79269 cliques
Mon Dec 22 03:50:45 2014  commencing in-memory singleton removal
Mon Dec 22 03:50:45 2014  begin with 970843 relations and 1160604 unique ideals
Mon Dec 22 03:50:46 2014  reduce to 919432 relations and 887410 ideals in 8 passes
Mon Dec 22 03:50:46 2014  max relations containing the same ideal: 70
Mon Dec 22 03:50:46 2014  relations with 0 large ideals: 490
Mon Dec 22 03:50:46 2014  relations with 1 large ideals: 139
Mon Dec 22 03:50:46 2014  relations with 2 large ideals: 2471
Mon Dec 22 03:50:46 2014  relations with 3 large ideals: 19726
Mon Dec 22 03:50:46 2014  relations with 4 large ideals: 82095
Mon Dec 22 03:50:46 2014  relations with 5 large ideals: 193797
Mon Dec 22 03:50:46 2014  relations with 6 large ideals: 277494
Mon Dec 22 03:50:46 2014  relations with 7+ large ideals: 343220
Mon Dec 22 03:50:46 2014  commencing 2-way merge
Mon Dec 22 03:50:47 2014  reduce to 561422 relation sets and 529400 unique ideals
Mon Dec 22 03:50:47 2014  commencing full merge
Mon Dec 22 03:50:56 2014  memory use: 71.0 MB
Mon Dec 22 03:50:56 2014  found 276871 cycles, need 267600
Mon Dec 22 03:50:56 2014  weight of 267600 cycles is about 19075795 (71.28/cycle)
Mon Dec 22 03:50:56 2014  distribution of cycle lengths:
Mon Dec 22 03:50:56 2014  1 relations: 23019
Mon Dec 22 03:50:56 2014  2 relations: 25113
Mon Dec 22 03:50:56 2014  3 relations: 26203
Mon Dec 22 03:50:56 2014  4 relations: 25702
Mon Dec 22 03:50:56 2014  5 relations: 24671
Mon Dec 22 03:50:56 2014  6 relations: 22805
Mon Dec 22 03:50:56 2014  7 relations: 20875
Mon Dec 22 03:50:56 2014  8 relations: 18675
Mon Dec 22 03:50:56 2014  9 relations: 16630
Mon Dec 22 03:50:56 2014  10+ relations: 63907
Mon Dec 22 03:50:56 2014  heaviest cycle: 21 relations
Mon Dec 22 03:50:56 2014  commencing cycle optimization
Mon Dec 22 03:50:57 2014  start with 1767935 relations
Mon Dec 22 03:51:00 2014  pruned 54164 relations
Mon Dec 22 03:51:00 2014  memory use: 54.4 MB
Mon Dec 22 03:51:00 2014  distribution of cycle lengths:
Mon Dec 22 03:51:00 2014  1 relations: 23019
Mon Dec 22 03:51:00 2014  2 relations: 25637
Mon Dec 22 03:51:00 2014  3 relations: 27141
Mon Dec 22 03:51:00 2014  4 relations: 26439
Mon Dec 22 03:51:00 2014  5 relations: 25602
Mon Dec 22 03:51:00 2014  6 relations: 23567
Mon Dec 22 03:51:00 2014  7 relations: 21560
Mon Dec 22 03:51:00 2014  8 relations: 19185
Mon Dec 22 03:51:00 2014  9 relations: 16709
Mon Dec 22 03:51:00 2014  10+ relations: 58741
Mon Dec 22 03:51:00 2014  heaviest cycle: 20 relations
Mon Dec 22 03:51:00 2014  RelProcTime: 90
Mon Dec 22 03:51:00 2014  
Mon Dec 22 03:51:00 2014  commencing linear algebra
Mon Dec 22 03:51:00 2014  read 267600 cycles
Mon Dec 22 03:51:00 2014  cycles contain 865736 unique relations
Mon Dec 22 03:51:08 2014  read 865736 relations
Mon Dec 22 03:51:09 2014  using 20 quadratic characters above 67107528
Mon Dec 22 03:51:13 2014  building initial matrix
Mon Dec 22 03:51:22 2014  memory use: 104.2 MB
Mon Dec 22 03:51:22 2014  read 267600 cycles
Mon Dec 22 03:51:22 2014  matrix is 267425 x 267600 (80.4 MB) with weight 24397509 (91.17/col)
Mon Dec 22 03:51:22 2014  sparse part has weight 18121731 (67.72/col)
Mon Dec 22 03:51:24 2014  filtering completed in 2 passes
Mon Dec 22 03:51:24 2014  matrix is 267225 x 267403 (80.3 MB) with weight 24387726 (91.20/col)
Mon Dec 22 03:51:24 2014  sparse part has weight 18116738 (67.75/col)
Mon Dec 22 03:51:25 2014  matrix starts at (0, 0)
Mon Dec 22 03:51:25 2014  matrix is 267225 x 267403 (80.3 MB) with weight 24387726 (91.20/col)
Mon Dec 22 03:51:25 2014  sparse part has weight 18116738 (67.75/col)
Mon Dec 22 03:51:25 2014  saving the first 48 matrix rows for later
Mon Dec 22 03:51:25 2014  matrix includes 64 packed rows
Mon Dec 22 03:51:25 2014  matrix is 267177 x 267403 (76.1 MB) with weight 19263103 (72.04/col)
Mon Dec 22 03:51:25 2014  sparse part has weight 17266202 (64.57/col)
Mon Dec 22 03:51:25 2014  using block size 65536 for processor cache size 8192 kB
Mon Dec 22 03:51:26 2014  commencing Lanczos iteration (8 threads)
Mon Dec 22 03:51:26 2014  memory use: 72.6 MB
Mon Dec 22 03:51:40 2014  linear algebra at 4.5%, ETA 0h 4m
Mon Dec 22 03:55:55 2014  lanczos halted after 4227 iterations (dim = 267173)
Mon Dec 22 03:55:56 2014  recovered 35 nontrivial dependencies
Mon Dec 22 03:55:56 2014  BLanczosTime: 296
Mon Dec 22 03:55:56 2014  
Mon Dec 22 03:55:56 2014  commencing square root phase
Mon Dec 22 03:55:56 2014  reading relations for dependency 1
Mon Dec 22 03:55:56 2014  read 133704 cycles
Mon Dec 22 03:55:56 2014  cycles contain 433924 unique relations
Mon Dec 22 03:56:02 2014  read 433924 relations
Mon Dec 22 03:56:04 2014  multiplying 433924 relations
Mon Dec 22 03:56:16 2014  multiply complete, coefficients have about 11.03 million bits
Mon Dec 22 03:56:16 2014  initial square root is modulo 2189371
Mon Dec 22 03:56:33 2014  GCD is N, no factor found
Mon Dec 22 03:56:33 2014  reading relations for dependency 2
Mon Dec 22 03:56:33 2014  read 133865 cycles
Mon Dec 22 03:56:34 2014  cycles contain 433876 unique relations
Mon Dec 22 03:56:40 2014  read 433876 relations
Mon Dec 22 03:56:41 2014  multiplying 433876 relations
Mon Dec 22 03:56:53 2014  multiply complete, coefficients have about 11.03 million bits
Mon Dec 22 03:56:53 2014  initial square root is modulo 2185481
Mon Dec 22 03:57:11 2014  sqrtTime: 75
--
n: 15404963381406294090411365700615084035488843068212750345163616418521565916138291570982660075804343739565430618241416667708439
m: 100000000000000000000000000000
deg: 5
c5: 53
c0: -5
skew: 0.62
# Murphy_E = 2.167e-09
type: snfs
lss: 1
rlim: 1950000
alim: 1950000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:23:07 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 7 秒 (日本時間)

106×10147-13

c138

name 名前Jo Yeong Uk
date 日付December 22, 2014 22:22:18 UTC 2014 年 12 月 23 日 (火) 7 時 22 分 18 秒 (日本時間)
composite number 合成数
386273012757781150495347310063683603666044161399957699527340344420723273089057564187619680623551632344369026081882627478331564056752431877<138>
prime factors 素因数
9262353463171769756363412054251437604083456156863077721905743871<64>
41703549135071238645616621065690403942989682883836742898560043877648168187<74>
factorization results 素因数分解の結果
Number: 35333_147
N=386273012757781150495347310063683603666044161399957699527340344420723273089057564187619680623551632344369026081882627478331564056752431877
  ( 138 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=9262353463171769756363412054251437604083456156863077721905743871
 r2=41703549135071238645616621065690403942989682883836742898560043877648168187
Version: 
Total time: 3.83 hours.
Scaled time: 19.80 units (timescale=5.163).
Factorization parameters were as follows:
n: 386273012757781150495347310063683603666044161399957699527340344420723273089057564187619680623551632344369026081882627478331564056752431877
m: 200000000000000000000000000000
deg: 5
c5: 1325
c0: -4
skew: 0.31
# Murphy_E = 1.506e-09
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1300000, 2650001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4891038
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 387766 x 388014
Total sieving time: 3.38 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,149,5,0,0,0,0,0,0,0,0,2600000,2600000,26,26,49,49,2.3,2.3,50000
total time: 3.83 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.88 BogoMIPS (lpj=3399941)
Total of 12 processors activated (81598.58 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:23:08 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 8 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:32 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 32 秒 (日本時間)

106×10148-13

c137

name 名前Cyp
date 日付December 22, 2014 23:50:54 UTC 2014 年 12 月 23 日 (火) 8 時 50 分 54 秒 (日本時間)
composite number 合成数
30805780306920971860583490902669969494762984905718545512698889242089953903296932314474560766909029130186966377378250711321986138146861629<137>
prime factors 素因数
2421224794686640072763704580893987110141220282160521156417<58>
12723221889402433509300766346026931656508143967909821747591157547119732674672637<80>
factorization results 素因数分解の結果
12/22/14 21:01:57 v1.34.3, 
12/22/14 21:01:57 v1.34.3, ****************************
12/22/14 21:01:57 v1.34.3, Starting factorization of 30805780306920971860583490902669969494762984905718545512698889242089953903296932314474560766909029130186966377378250711321986138146861629
12/22/14 21:01:57 v1.34.3, using pretesting plan: none
12/22/14 21:01:57 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/22/14 21:01:57 v1.34.3, ****************************
12/22/14 21:01:57 v1.34.3, nfs: commencing nfs on c137: 30805780306920971860583490902669969494762984905718545512698889242089953903296932314474560766909029130186966377378250711321986138146861629
12/22/14 21:01:57 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/22/14 21:01:57 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/22/14 21:04:15 v1.34.3, nfs: commencing lattice sieving with 8 threads
[98 lines snipped]
12/23/14 00:34:52 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 00:36:54 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 00:38:55 v1.34.3, nfs: commencing msieve filtering
12/23/14 00:41:50 v1.34.3, nfs: commencing msieve linear algebra
12/23/14 00:48:09 v1.34.3, nfs: commencing msieve sqrt
12/23/14 00:50:53 v1.34.3, prp80 = 12723221889402433509300766346026931656508143967909821747591157547119732674672637
12/23/14 00:50:53 v1.34.3, prp58 = 2421224794686640072763704580893987110141220282160521156417
12/23/14 00:50:53 v1.34.3, NFS elapsed time = 13736.5133 seconds.
12/23/14 00:50:53 v1.34.3, 
12/23/14 00:50:53 v1.34.3, 
12/23/14 00:50:53 v1.34.3, Total factoring time = 13736.5146 seconds
--
Tue Dec 23 00:38:55 2014  
Tue Dec 23 00:38:55 2014  commencing relation filtering
Tue Dec 23 00:38:55 2014  estimated available RAM is 15987.3 MB
Tue Dec 23 00:38:55 2014  commencing duplicate removal, pass 1
Tue Dec 23 00:39:41 2014  found 1738715 hash collisions in 10113645 relations
Tue Dec 23 00:39:51 2014  added 345993 free relations
Tue Dec 23 00:39:51 2014  commencing duplicate removal, pass 2
Tue Dec 23 00:40:02 2014  found 1430563 duplicates and 9029075 unique relations
Tue Dec 23 00:40:02 2014  memory use: 45.3 MB
Tue Dec 23 00:40:02 2014  reading ideals above 100000
Tue Dec 23 00:40:02 2014  commencing singleton removal, initial pass
Tue Dec 23 00:41:17 2014  memory use: 188.2 MB
Tue Dec 23 00:41:17 2014  reading all ideals from disk
Tue Dec 23 00:41:17 2014  memory use: 298.6 MB
Tue Dec 23 00:41:18 2014  keeping 8953238 ideals with weight <= 200, target excess is 47184
Tue Dec 23 00:41:19 2014  commencing in-memory singleton removal
Tue Dec 23 00:41:19 2014  begin with 9029075 relations and 8953238 unique ideals
Tue Dec 23 00:41:24 2014  reduce to 4501128 relations and 3311048 ideals in 9 passes
Tue Dec 23 00:41:24 2014  max relations containing the same ideal: 130
Tue Dec 23 00:41:26 2014  removing 1172565 relations and 772565 ideals in 400000 cliques
Tue Dec 23 00:41:26 2014  commencing in-memory singleton removal
Tue Dec 23 00:41:26 2014  begin with 3328563 relations and 3311048 unique ideals
Tue Dec 23 00:41:29 2014  reduce to 3161616 relations and 2354539 ideals in 8 passes
Tue Dec 23 00:41:29 2014  max relations containing the same ideal: 102
Tue Dec 23 00:41:30 2014  removing 1009531 relations and 609531 ideals in 400000 cliques
Tue Dec 23 00:41:31 2014  commencing in-memory singleton removal
Tue Dec 23 00:41:31 2014  begin with 2152085 relations and 2354539 unique ideals
Tue Dec 23 00:41:32 2014  reduce to 2019766 relations and 1598007 ideals in 8 passes
Tue Dec 23 00:41:32 2014  max relations containing the same ideal: 72
Tue Dec 23 00:41:33 2014  removing 880258 relations and 513233 ideals in 367025 cliques
Tue Dec 23 00:41:33 2014  commencing in-memory singleton removal
Tue Dec 23 00:41:33 2014  begin with 1139508 relations and 1598007 unique ideals
Tue Dec 23 00:41:34 2014  reduce to 1009410 relations and 937067 ideals in 8 passes
Tue Dec 23 00:41:34 2014  max relations containing the same ideal: 46
Tue Dec 23 00:41:34 2014  removing 80531 relations and 62922 ideals in 17609 cliques
Tue Dec 23 00:41:34 2014  commencing in-memory singleton removal
Tue Dec 23 00:41:34 2014  begin with 928879 relations and 937067 unique ideals
Tue Dec 23 00:41:35 2014  reduce to 922779 relations and 867926 ideals in 7 passes
Tue Dec 23 00:41:35 2014  max relations containing the same ideal: 43
Tue Dec 23 00:41:35 2014  relations with 0 large ideals: 1090
Tue Dec 23 00:41:35 2014  relations with 1 large ideals: 1209
Tue Dec 23 00:41:35 2014  relations with 2 large ideals: 14661
Tue Dec 23 00:41:35 2014  relations with 3 large ideals: 72853
Tue Dec 23 00:41:35 2014  relations with 4 large ideals: 180813
Tue Dec 23 00:41:35 2014  relations with 5 large ideals: 259760
Tue Dec 23 00:41:35 2014  relations with 6 large ideals: 234365
Tue Dec 23 00:41:35 2014  relations with 7+ large ideals: 158028
Tue Dec 23 00:41:35 2014  commencing 2-way merge
Tue Dec 23 00:41:36 2014  reduce to 659147 relation sets and 604294 unique ideals
Tue Dec 23 00:41:36 2014  commencing full merge
Tue Dec 23 00:41:45 2014  memory use: 72.0 MB
Tue Dec 23 00:41:45 2014  found 325595 cycles, need 318494
Tue Dec 23 00:41:45 2014  weight of 318494 cycles is about 22677365 (71.20/cycle)
Tue Dec 23 00:41:45 2014  distribution of cycle lengths:
Tue Dec 23 00:41:45 2014  1 relations: 18593
Tue Dec 23 00:41:45 2014  2 relations: 30897
Tue Dec 23 00:41:45 2014  3 relations: 37941
Tue Dec 23 00:41:45 2014  4 relations: 37941
Tue Dec 23 00:41:45 2014  5 relations: 35200
Tue Dec 23 00:41:45 2014  6 relations: 30391
Tue Dec 23 00:41:45 2014  7 relations: 25502
Tue Dec 23 00:41:45 2014  8 relations: 21158
Tue Dec 23 00:41:45 2014  9 relations: 17780
Tue Dec 23 00:41:45 2014  10+ relations: 63091
Tue Dec 23 00:41:45 2014  heaviest cycle: 21 relations
Tue Dec 23 00:41:45 2014  commencing cycle optimization
Tue Dec 23 00:41:46 2014  start with 2002695 relations
Tue Dec 23 00:41:49 2014  pruned 79792 relations
Tue Dec 23 00:41:49 2014  memory use: 58.7 MB
Tue Dec 23 00:41:49 2014  distribution of cycle lengths:
Tue Dec 23 00:41:49 2014  1 relations: 18593
Tue Dec 23 00:41:49 2014  2 relations: 31736
Tue Dec 23 00:41:49 2014  3 relations: 39743
Tue Dec 23 00:41:49 2014  4 relations: 39593
Tue Dec 23 00:41:49 2014  5 relations: 36925
Tue Dec 23 00:41:49 2014  6 relations: 31414
Tue Dec 23 00:41:49 2014  7 relations: 26126
Tue Dec 23 00:41:49 2014  8 relations: 21420
Tue Dec 23 00:41:49 2014  9 relations: 17620
Tue Dec 23 00:41:49 2014  10+ relations: 55324
Tue Dec 23 00:41:49 2014  heaviest cycle: 20 relations
Tue Dec 23 00:41:50 2014  RelProcTime: 175
Tue Dec 23 00:41:50 2014  
Tue Dec 23 00:41:50 2014  commencing linear algebra
Tue Dec 23 00:41:50 2014  read 318494 cycles
Tue Dec 23 00:41:50 2014  cycles contain 893816 unique relations
Tue Dec 23 00:42:05 2014  read 893816 relations
Tue Dec 23 00:42:06 2014  using 20 quadratic characters above 134209122
Tue Dec 23 00:42:10 2014  building initial matrix
Tue Dec 23 00:42:20 2014  memory use: 108.7 MB
Tue Dec 23 00:42:21 2014  read 318494 cycles
Tue Dec 23 00:42:21 2014  matrix is 318316 x 318494 (95.0 MB) with weight 28105937 (88.25/col)
Tue Dec 23 00:42:21 2014  sparse part has weight 21389727 (67.16/col)
Tue Dec 23 00:42:23 2014  filtering completed in 2 passes
Tue Dec 23 00:42:23 2014  matrix is 318175 x 318353 (94.9 MB) with weight 28100622 (88.27/col)
Tue Dec 23 00:42:23 2014  sparse part has weight 21387484 (67.18/col)
Tue Dec 23 00:42:24 2014  matrix starts at (0, 0)
Tue Dec 23 00:42:24 2014  matrix is 318175 x 318353 (94.9 MB) with weight 28100622 (88.27/col)
Tue Dec 23 00:42:24 2014  sparse part has weight 21387484 (67.18/col)
Tue Dec 23 00:42:24 2014  saving the first 48 matrix rows for later
Tue Dec 23 00:42:24 2014  matrix includes 64 packed rows
Tue Dec 23 00:42:24 2014  matrix is 318127 x 318353 (89.0 MB) with weight 22211347 (69.77/col)
Tue Dec 23 00:42:24 2014  sparse part has weight 20143846 (63.28/col)
Tue Dec 23 00:42:24 2014  using block size 65536 for processor cache size 8192 kB
Tue Dec 23 00:42:25 2014  commencing Lanczos iteration (8 threads)
Tue Dec 23 00:42:25 2014  memory use: 85.2 MB
Tue Dec 23 00:42:41 2014  linear algebra at 3.8%, ETA 0h 6m
Tue Dec 23 00:48:08 2014  lanczos halted after 5033 iterations (dim = 318127)
Tue Dec 23 00:48:09 2014  recovered 39 nontrivial dependencies
Tue Dec 23 00:48:09 2014  BLanczosTime: 379
Tue Dec 23 00:48:09 2014  
Tue Dec 23 00:48:09 2014  commencing square root phase
Tue Dec 23 00:48:09 2014  reading relations for dependency 1
Tue Dec 23 00:48:09 2014  read 159103 cycles
Tue Dec 23 00:48:09 2014  cycles contain 447036 unique relations
Tue Dec 23 00:48:21 2014  read 447036 relations
Tue Dec 23 00:48:23 2014  multiplying 447036 relations
Tue Dec 23 00:48:41 2014  multiply complete, coefficients have about 15.80 million bits
Tue Dec 23 00:48:41 2014  initial square root is modulo 1202150941
Tue Dec 23 00:49:02 2014  Newton iteration failed to converge
Tue Dec 23 00:49:02 2014  algebraic square root failed
Tue Dec 23 00:49:02 2014  reading relations for dependency 2
Tue Dec 23 00:49:03 2014  read 159011 cycles
Tue Dec 23 00:49:03 2014  cycles contain 446986 unique relations
Tue Dec 23 00:49:15 2014  read 446986 relations
Tue Dec 23 00:49:16 2014  multiplying 446986 relations
Tue Dec 23 00:49:35 2014  multiply complete, coefficients have about 15.80 million bits
Tue Dec 23 00:49:35 2014  initial square root is modulo 1200230701
Tue Dec 23 00:49:58 2014  GCD is 1, no factor found
Tue Dec 23 00:49:58 2014  reading relations for dependency 3
Tue Dec 23 00:49:58 2014  read 158965 cycles
Tue Dec 23 00:49:58 2014  cycles contain 446530 unique relations
Tue Dec 23 00:50:09 2014  read 446530 relations
Tue Dec 23 00:50:11 2014  multiplying 446530 relations
Tue Dec 23 00:50:29 2014  multiply complete, coefficients have about 15.79 million bits
Tue Dec 23 00:50:29 2014  initial square root is modulo 1175773051
Tue Dec 23 00:50:53 2014  sqrtTime: 164
--
n: 30805780306920971860583490902669969494762984905718545512698889242089953903296932314474560766909029130186966377378250711321986138146861629
m: 100000000000000000000000000000
deg: 5
c5: 106000
c0: -1
skew: 0.10
# Murphy_E = 1.181e-09
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:23:08 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 8 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:32 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 32 秒 (日本時間)

106×10156-13

c122

name 名前Cyp
date 日付December 25, 2014 12:11:05 UTC 2014 年 12 月 25 日 (木) 21 時 11 分 5 秒 (日本時間)
composite number 合成数
34471410147454242886648527346315887127580171586366234309493155006618770732003797448878705821413801473927606817737470814669<122>
prime factors 素因数
110681100722932929261888074070934047615868700712822067<54>
311448024299525486889494868971685900397405071385712931579851711460607<69>
factorization results 素因数分解の結果
12/25/14 07:54:02 v1.34.3, 
12/25/14 07:54:02 v1.34.3, ****************************
12/25/14 07:54:02 v1.34.3, Starting factorization of 34471410147454242886648527346315887127580171586366234309493155006618770732003797448878705821413801473927606817737470814669
12/25/14 07:54:02 v1.34.3, using pretesting plan: none
12/25/14 07:54:02 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/25/14 07:54:02 v1.34.3, ****************************
12/25/14 07:54:02 v1.34.3, nfs: commencing nfs on c122: 34471410147454242886648527346315887127580171586366234309493155006618770732003797448878705821413801473927606817737470814669
12/25/14 07:54:02 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/25/14 07:54:02 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/25/14 07:55:55 v1.34.3, nfs: commencing lattice sieving with 8 threads
[136 lines snipped]
12/25/14 12:46:28 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/25/14 12:48:23 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/25/14 12:50:38 v1.34.3, nfs: commencing msieve filtering
12/25/14 12:54:43 v1.34.3, nfs: commencing msieve linear algebra
12/25/14 13:09:40 v1.34.3, nfs: commencing msieve sqrt
12/25/14 13:11:04 v1.34.3, prp54 = 110681100722932929261888074070934047615868700712822067
12/25/14 13:11:04 v1.34.3, prp69 = 311448024299525486889494868971685900397405071385712931579851711460607
12/25/14 13:11:04 v1.34.3, NFS elapsed time = 19021.9266 seconds.
12/25/14 13:11:04 v1.34.3, 
12/25/14 13:11:04 v1.34.3, 
12/25/14 13:11:04 v1.34.3, Total factoring time = 19021.9276 seconds
--
Thu Dec 25 12:50:38 2014  
Thu Dec 25 12:50:38 2014  commencing relation filtering
Thu Dec 25 12:50:38 2014  estimated available RAM is 15987.3 MB
Thu Dec 25 12:50:38 2014  commencing duplicate removal, pass 1
Thu Dec 25 12:51:40 2014  found 1624344 hash collisions in 10093213 relations
Thu Dec 25 12:51:58 2014  added 355635 free relations
Thu Dec 25 12:51:58 2014  commencing duplicate removal, pass 2
Thu Dec 25 12:52:13 2014  found 1278798 duplicates and 9170050 unique relations
Thu Dec 25 12:52:13 2014  memory use: 41.3 MB
Thu Dec 25 12:52:13 2014  reading ideals above 100000
Thu Dec 25 12:52:13 2014  commencing singleton removal, initial pass
Thu Dec 25 12:53:52 2014  memory use: 188.2 MB
Thu Dec 25 12:53:52 2014  reading all ideals from disk
Thu Dec 25 12:53:52 2014  memory use: 310.6 MB
Thu Dec 25 12:53:53 2014  keeping 9574347 ideals with weight <= 200, target excess is 46311
Thu Dec 25 12:53:55 2014  commencing in-memory singleton removal
Thu Dec 25 12:53:56 2014  begin with 9170050 relations and 9574347 unique ideals
Thu Dec 25 12:54:05 2014  reduce to 4233918 relations and 3479092 ideals in 13 passes
Thu Dec 25 12:54:05 2014  max relations containing the same ideal: 119
Thu Dec 25 12:54:09 2014  removing 1207810 relations and 857257 ideals in 350553 cliques
Thu Dec 25 12:54:09 2014  commencing in-memory singleton removal
Thu Dec 25 12:54:10 2014  begin with 3026108 relations and 3479092 unique ideals
Thu Dec 25 12:54:13 2014  reduce to 2789447 relations and 2361028 ideals in 9 passes
Thu Dec 25 12:54:13 2014  max relations containing the same ideal: 91
Thu Dec 25 12:54:15 2014  removing 1011717 relations and 661164 ideals in 350553 cliques
Thu Dec 25 12:54:15 2014  commencing in-memory singleton removal
Thu Dec 25 12:54:15 2014  begin with 1777730 relations and 2361028 unique ideals
Thu Dec 25 12:54:17 2014  reduce to 1570445 relations and 1465902 ideals in 9 passes
Thu Dec 25 12:54:17 2014  max relations containing the same ideal: 62
Thu Dec 25 12:54:18 2014  removing 213761 relations and 162939 ideals in 50822 cliques
Thu Dec 25 12:54:18 2014  commencing in-memory singleton removal
Thu Dec 25 12:54:18 2014  begin with 1356684 relations and 1465902 unique ideals
Thu Dec 25 12:54:20 2014  reduce to 1334943 relations and 1280485 ideals in 7 passes
Thu Dec 25 12:54:20 2014  max relations containing the same ideal: 57
Thu Dec 25 12:54:21 2014  relations with 0 large ideals: 1108
Thu Dec 25 12:54:21 2014  relations with 1 large ideals: 675
Thu Dec 25 12:54:21 2014  relations with 2 large ideals: 10353
Thu Dec 25 12:54:21 2014  relations with 3 large ideals: 63932
Thu Dec 25 12:54:21 2014  relations with 4 large ideals: 201842
Thu Dec 25 12:54:21 2014  relations with 5 large ideals: 356052
Thu Dec 25 12:54:21 2014  relations with 6 large ideals: 381466
Thu Dec 25 12:54:21 2014  relations with 7+ large ideals: 319515
Thu Dec 25 12:54:21 2014  commencing 2-way merge
Thu Dec 25 12:54:22 2014  reduce to 842789 relation sets and 788331 unique ideals
Thu Dec 25 12:54:22 2014  commencing full merge
Thu Dec 25 12:54:37 2014  memory use: 101.3 MB
Thu Dec 25 12:54:37 2014  found 436244 cycles, need 428531
Thu Dec 25 12:54:37 2014  weight of 428531 cycles is about 30086199 (70.21/cycle)
Thu Dec 25 12:54:37 2014  distribution of cycle lengths:
Thu Dec 25 12:54:37 2014  1 relations: 30177
Thu Dec 25 12:54:37 2014  2 relations: 41040
Thu Dec 25 12:54:37 2014  3 relations: 45762
Thu Dec 25 12:54:37 2014  4 relations: 45437
Thu Dec 25 12:54:37 2014  5 relations: 44587
Thu Dec 25 12:54:37 2014  6 relations: 41251
Thu Dec 25 12:54:37 2014  7 relations: 37286
Thu Dec 25 12:54:37 2014  8 relations: 32527
Thu Dec 25 12:54:37 2014  9 relations: 26964
Thu Dec 25 12:54:37 2014  10+ relations: 83500
Thu Dec 25 12:54:37 2014  heaviest cycle: 20 relations
Thu Dec 25 12:54:37 2014  commencing cycle optimization
Thu Dec 25 12:54:38 2014  start with 2683398 relations
Thu Dec 25 12:54:42 2014  pruned 82189 relations
Thu Dec 25 12:54:42 2014  memory use: 82.6 MB
Thu Dec 25 12:54:42 2014  distribution of cycle lengths:
Thu Dec 25 12:54:42 2014  1 relations: 30177
Thu Dec 25 12:54:42 2014  2 relations: 41928
Thu Dec 25 12:54:42 2014  3 relations: 47436
Thu Dec 25 12:54:42 2014  4 relations: 46892
Thu Dec 25 12:54:42 2014  5 relations: 46285
Thu Dec 25 12:54:42 2014  6 relations: 42738
Thu Dec 25 12:54:42 2014  7 relations: 38315
Thu Dec 25 12:54:42 2014  8 relations: 32923
Thu Dec 25 12:54:42 2014  9 relations: 27085
Thu Dec 25 12:54:42 2014  10+ relations: 74752
Thu Dec 25 12:54:42 2014  heaviest cycle: 20 relations
Thu Dec 25 12:54:43 2014  RelProcTime: 245
Thu Dec 25 12:54:43 2014  
Thu Dec 25 12:54:43 2014  commencing linear algebra
Thu Dec 25 12:54:43 2014  read 428531 cycles
Thu Dec 25 12:54:44 2014  cycles contain 1299697 unique relations
Thu Dec 25 12:54:57 2014  read 1299697 relations
Thu Dec 25 12:54:58 2014  using 20 quadratic characters above 134214764
Thu Dec 25 12:55:03 2014  building initial matrix
Thu Dec 25 12:55:15 2014  memory use: 161.5 MB
Thu Dec 25 12:55:15 2014  read 428531 cycles
Thu Dec 25 12:55:15 2014  matrix is 428354 x 428531 (127.6 MB) with weight 38459825 (89.75/col)
Thu Dec 25 12:55:15 2014  sparse part has weight 28738921 (67.06/col)
Thu Dec 25 12:55:18 2014  filtering completed in 2 passes
Thu Dec 25 12:55:18 2014  matrix is 428273 x 428450 (127.6 MB) with weight 38456882 (89.76/col)
Thu Dec 25 12:55:18 2014  sparse part has weight 28737853 (67.07/col)
Thu Dec 25 12:55:19 2014  matrix starts at (0, 0)
Thu Dec 25 12:55:19 2014  matrix is 428273 x 428450 (127.6 MB) with weight 38456882 (89.76/col)
Thu Dec 25 12:55:19 2014  sparse part has weight 28737853 (67.07/col)
Thu Dec 25 12:55:19 2014  saving the first 48 matrix rows for later
Thu Dec 25 12:55:19 2014  matrix includes 64 packed rows
Thu Dec 25 12:55:19 2014  matrix is 428225 x 428450 (120.7 MB) with weight 30321531 (70.77/col)
Thu Dec 25 12:55:19 2014  sparse part has weight 27343925 (63.82/col)
Thu Dec 25 12:55:19 2014  using block size 65536 for processor cache size 8192 kB
Thu Dec 25 12:55:20 2014  commencing Lanczos iteration (8 threads)
Thu Dec 25 12:55:20 2014  memory use: 116.1 MB
Thu Dec 25 12:55:33 2014  linear algebra at 2.8%, ETA 0h 6m
Thu Dec 25 13:09:40 2014  lanczos halted after 6773 iterations (dim = 428223)
Thu Dec 25 13:09:40 2014  recovered 40 nontrivial dependencies
Thu Dec 25 13:09:40 2014  BLanczosTime: 897
Thu Dec 25 13:09:40 2014  
Thu Dec 25 13:09:40 2014  commencing square root phase
Thu Dec 25 13:09:40 2014  reading relations for dependency 1
Thu Dec 25 13:09:40 2014  read 214106 cycles
Thu Dec 25 13:09:41 2014  cycles contain 650068 unique relations
Thu Dec 25 13:09:55 2014  read 650068 relations
Thu Dec 25 13:09:59 2014  multiplying 650068 relations
Thu Dec 25 13:10:26 2014  multiply complete, coefficients have about 19.24 million bits
Thu Dec 25 13:10:26 2014  initial square root is modulo 335341
Thu Dec 25 13:11:04 2014  sqrtTime: 84
--
n: 34471410147454242886648527346315887127580171586366234309493155006618770732003797448878705821413801473927606817737470814669
m: 10000000000000000000000000000000
deg: 5
c5: 1060
c0: -1
skew: 0.25
# Murphy_E = 7.433e-10
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:23:09 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 9 秒 (日本時間)

106×10157-13

c159

name 名前Serge Batalov
date 日付December 20, 2014 03:58:17 UTC 2014 年 12 月 20 日 (土) 12 時 58 分 17 秒 (日本時間)
composite number 合成数
353333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<159>
prime factors 素因数
95640574525685013235596602515302241139302985397336754770893<59>
3694387398712697445162004925819675530910665212846434940285549738715878413283909024386681794404487081<100>
factorization results 素因数分解の結果
Divisors found:
 r1=95640574525685013235596602515302241139302985397336754770893 (pp59)
 r2=3694387398712697445162004925819675530910665212846434940285549738715878413283909024386681794404487081 (pp100)
Version: Msieve v. 1.51 (SVN 719M)
Total time: 13.65 hours.
Scaled time: 32.76 units (timescale=2.400).
Factorization parameters were as follows:
#res 4089 35333_157
n: 353333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
m: 10000000000000000000000000000000
deg: 5
c5: 10600
c0: -1
skew: 0.16
# Murphy_E = 6.252e-10
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1550000, 2950001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 439296 x 439521
Total sieving time: 13.43 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,159.000,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000
total time: 13.65 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:06 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 6 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:27 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 27 秒 (日本時間)

106×10161-13

c145

name 名前Serge Batalov
date 日付December 20, 2014 22:06:51 UTC 2014 年 12 月 21 日 (日) 7 時 6 分 51 秒 (日本時間)
composite number 合成数
2306187944234263192662689180067958131901665043838780863137275791287171609362860820498995837489609136194335767096127487359815114196230028153527327<145>
prime factors 素因数
13858739433417964502551218173521<32>
3618584833888271825356338335689536137<37>
composite cofactor 合成数の残り
45986696152495093346988159176376499931665639716761412040373783075650156471351<77>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=386385364
Step 1 took 9212ms
Step 2 took 7161ms
********** Factor found in step 2: 13858739433417964502551218173521
Found probable prime factor of 32 digits: 13858739433417964502551218173521

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=121928184
Step 1 took 9213ms
Step 2 took 7146ms
********** Factor found in step 2: 3618584833888271825356338335689536137
Found probable prime factor of 37 digits: 3618584833888271825356338335689536137

c77

name 名前Cyp
date 日付December 21, 2014 14:53:53 UTC 2014 年 12 月 21 日 (日) 23 時 53 分 53 秒 (日本時間)
composite number 合成数
45986696152495093346988159176376499931665639716761412040373783075650156471351<77>
prime factors 素因数
166520646538941380352516645906355369<36>
276162128290445706804707939606859792358879<42>
factorization results 素因数分解の結果
starting SIQS on c77: 45986696152495093346988159176376499931665639716761412040373783075650156471351

==== sieving in progress (1 thread):   35008 relations needed ====
====           Press ctrl-c to abort and save state           ====
34927 rels found: 18136 full + 16791 from 180644 partial, (1476.64 rels/sec)

SIQS elapsed time = 136.9114 seconds.
Total factoring time = 164.4572 seconds


***factors found***

P36 = 166520646538941380352516645906355369
P42 = 276162128290445706804707939606859792358879
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:23:09 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 9 秒 (日本時間)

106×10163-13

c160

name 名前Cyp
date 日付December 28, 2014 15:35:27 UTC 2014 年 12 月 29 日 (月) 0 時 35 分 27 秒 (日本時間)
composite number 合成数
7181425851778080391319959621416908870415912955698732410587860680338475505240408392783344511967913931288659444591234595502801433575198336077180003116467822469733<160>
prime factors 素因数
256709698842704933703647115153037107457<39>
27974891031204834729312552464409224904561295110880668548269995452985133029660270446602671055702321058851099160921739533669<122>
factorization results 素因数分解の結果
12/28/14 11:54:41 v1.34.3, 
12/28/14 11:54:41 v1.34.3, ****************************
12/28/14 11:54:41 v1.34.3, Starting factorization of 7181425851778080391319959621416908870415912955698732410587860680338475505240408392783344511967913931288659444591234595502801433575198336077180003116467822469733
12/28/14 11:54:41 v1.34.3, using pretesting plan: none
12/28/14 11:54:41 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/28/14 11:54:41 v1.34.3, ****************************
12/28/14 11:54:41 v1.34.3, nfs: commencing nfs on c160: 7181425851778080391319959621416908870415912955698732410587860680338475505240408392783344511967913931288659444591234595502801433575198336077180003116467822469733
12/28/14 11:54:41 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/28/14 11:54:41 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/28/14 11:58:58 v1.34.3, nfs: commencing lattice sieving with 8 threads
[52 lines snipped]
12/28/14 16:04:19 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/28/14 16:09:27 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/28/14 16:14:49 v1.34.3, nfs: commencing msieve filtering
12/28/14 16:17:20 v1.34.3, nfs: commencing msieve linear algebra
12/28/14 16:32:31 v1.34.3, nfs: commencing msieve sqrt
12/28/14 16:35:26 v1.34.3, prp39 = 256709698842704933703647115153037107457
12/28/14 16:35:26 v1.34.3, prp122 = 27974891031204834729312552464409224904561295110880668548269995452985133029660270446602671055702321058851099160921739533669
12/28/14 16:35:27 v1.34.3, NFS elapsed time = 16845.6732 seconds.
12/28/14 16:35:27 v1.34.3, 
12/28/14 16:35:27 v1.34.3, 
12/28/14 16:35:27 v1.34.3, Total factoring time = 16845.6745 seconds
--
Sun Dec 28 16:14:49 2014  
Sun Dec 28 16:14:49 2014  commencing relation filtering
Sun Dec 28 16:14:49 2014  estimated available RAM is 15987.3 MB
Sun Dec 28 16:14:49 2014  commencing duplicate removal, pass 1
Sun Dec 28 16:15:21 2014  found 1398367 hash collisions in 10209066 relations
Sun Dec 28 16:15:30 2014  added 365926 free relations
Sun Dec 28 16:15:30 2014  commencing duplicate removal, pass 2
Sun Dec 28 16:15:39 2014  found 950274 duplicates and 9624718 unique relations
Sun Dec 28 16:15:39 2014  memory use: 41.3 MB
Sun Dec 28 16:15:39 2014  reading ideals above 100000
Sun Dec 28 16:15:39 2014  commencing singleton removal, initial pass
Sun Dec 28 16:16:38 2014  memory use: 344.5 MB
Sun Dec 28 16:16:38 2014  reading all ideals from disk
Sun Dec 28 16:16:38 2014  memory use: 344.0 MB
Sun Dec 28 16:16:39 2014  keeping 10362476 ideals with weight <= 200, target excess is 50632
Sun Dec 28 16:16:40 2014  commencing in-memory singleton removal
Sun Dec 28 16:16:40 2014  begin with 9624718 relations and 10362476 unique ideals
Sun Dec 28 16:16:46 2014  reduce to 4228858 relations and 3802384 ideals in 15 passes
Sun Dec 28 16:16:46 2014  max relations containing the same ideal: 117
Sun Dec 28 16:16:48 2014  removing 922391 relations and 738521 ideals in 183870 cliques
Sun Dec 28 16:16:48 2014  commencing in-memory singleton removal
Sun Dec 28 16:16:48 2014  begin with 3306467 relations and 3802384 unique ideals
Sun Dec 28 16:16:50 2014  reduce to 3139163 relations and 2887289 ideals in 10 passes
Sun Dec 28 16:16:50 2014  max relations containing the same ideal: 100
Sun Dec 28 16:16:52 2014  removing 738493 relations and 554623 ideals in 183870 cliques
Sun Dec 28 16:16:52 2014  commencing in-memory singleton removal
Sun Dec 28 16:16:52 2014  begin with 2400670 relations and 2887289 unique ideals
Sun Dec 28 16:16:53 2014  reduce to 2259622 relations and 2183358 ideals in 9 passes
Sun Dec 28 16:16:53 2014  max relations containing the same ideal: 77
Sun Dec 28 16:16:54 2014  removing 119182 relations and 101652 ideals in 17530 cliques
Sun Dec 28 16:16:54 2014  commencing in-memory singleton removal
Sun Dec 28 16:16:54 2014  begin with 2140440 relations and 2183358 unique ideals
Sun Dec 28 16:16:55 2014  reduce to 2136351 relations and 2077586 ideals in 7 passes
Sun Dec 28 16:16:55 2014  max relations containing the same ideal: 74
Sun Dec 28 16:16:56 2014  relations with 0 large ideals: 1179
Sun Dec 28 16:16:56 2014  relations with 1 large ideals: 356
Sun Dec 28 16:16:56 2014  relations with 2 large ideals: 5844
Sun Dec 28 16:16:56 2014  relations with 3 large ideals: 46123
Sun Dec 28 16:16:56 2014  relations with 4 large ideals: 189485
Sun Dec 28 16:16:56 2014  relations with 5 large ideals: 444383
Sun Dec 28 16:16:56 2014  relations with 6 large ideals: 632620
Sun Dec 28 16:16:56 2014  relations with 7+ large ideals: 816361
Sun Dec 28 16:16:56 2014  commencing 2-way merge
Sun Dec 28 16:16:57 2014  reduce to 1277183 relation sets and 1218418 unique ideals
Sun Dec 28 16:16:57 2014  commencing full merge
Sun Dec 28 16:17:13 2014  memory use: 154.9 MB
Sun Dec 28 16:17:13 2014  found 654358 cycles, need 646618
Sun Dec 28 16:17:14 2014  weight of 646618 cycles is about 45483090 (70.34/cycle)
Sun Dec 28 16:17:14 2014  distribution of cycle lengths:
Sun Dec 28 16:17:14 2014  1 relations: 73472
Sun Dec 28 16:17:14 2014  2 relations: 68890
Sun Dec 28 16:17:14 2014  3 relations: 69481
Sun Dec 28 16:17:14 2014  4 relations: 65974
Sun Dec 28 16:17:14 2014  5 relations: 62550
Sun Dec 28 16:17:14 2014  6 relations: 55821
Sun Dec 28 16:17:14 2014  7 relations: 49272
Sun Dec 28 16:17:14 2014  8 relations: 42584
Sun Dec 28 16:17:14 2014  9 relations: 36516
Sun Dec 28 16:17:14 2014  10+ relations: 122058
Sun Dec 28 16:17:14 2014  heaviest cycle: 21 relations
Sun Dec 28 16:17:14 2014  commencing cycle optimization
Sun Dec 28 16:17:15 2014  start with 3857105 relations
Sun Dec 28 16:17:19 2014  pruned 94495 relations
Sun Dec 28 16:17:19 2014  memory use: 126.4 MB
Sun Dec 28 16:17:19 2014  distribution of cycle lengths:
Sun Dec 28 16:17:19 2014  1 relations: 73472
Sun Dec 28 16:17:19 2014  2 relations: 70356
Sun Dec 28 16:17:19 2014  3 relations: 71738
Sun Dec 28 16:17:19 2014  4 relations: 67542
Sun Dec 28 16:17:19 2014  5 relations: 64170
Sun Dec 28 16:17:19 2014  6 relations: 57134
Sun Dec 28 16:17:19 2014  7 relations: 49926
Sun Dec 28 16:17:19 2014  8 relations: 42916
Sun Dec 28 16:17:19 2014  9 relations: 36378
Sun Dec 28 16:17:19 2014  10+ relations: 112986
Sun Dec 28 16:17:19 2014  heaviest cycle: 21 relations
Sun Dec 28 16:17:20 2014  RelProcTime: 151
Sun Dec 28 16:17:20 2014  
Sun Dec 28 16:17:20 2014  commencing linear algebra
Sun Dec 28 16:17:20 2014  read 646618 cycles
Sun Dec 28 16:17:21 2014  cycles contain 2094041 unique relations
Sun Dec 28 16:17:33 2014  read 2094041 relations
Sun Dec 28 16:17:35 2014  using 20 quadratic characters above 134214810
Sun Dec 28 16:17:41 2014  building initial matrix
Sun Dec 28 16:17:55 2014  memory use: 260.1 MB
Sun Dec 28 16:17:56 2014  read 646618 cycles
Sun Dec 28 16:17:56 2014  matrix is 646441 x 646618 (193.9 MB) with weight 57017567 (88.18/col)
Sun Dec 28 16:17:56 2014  sparse part has weight 43704155 (67.59/col)
Sun Dec 28 16:17:59 2014  filtering completed in 2 passes
Sun Dec 28 16:18:00 2014  matrix is 646156 x 646333 (193.8 MB) with weight 57008472 (88.20/col)
Sun Dec 28 16:18:00 2014  sparse part has weight 43700755 (67.61/col)
Sun Dec 28 16:18:01 2014  matrix starts at (0, 0)
Sun Dec 28 16:18:01 2014  matrix is 646156 x 646333 (193.8 MB) with weight 57008472 (88.20/col)
Sun Dec 28 16:18:01 2014  sparse part has weight 43700755 (67.61/col)
Sun Dec 28 16:18:01 2014  saving the first 48 matrix rows for later
Sun Dec 28 16:18:01 2014  matrix includes 64 packed rows
Sun Dec 28 16:18:01 2014  matrix is 646108 x 646333 (182.9 MB) with weight 45256710 (70.02/col)
Sun Dec 28 16:18:01 2014  sparse part has weight 41478266 (64.17/col)
Sun Dec 28 16:18:01 2014  using block size 65536 for processor cache size 8192 kB
Sun Dec 28 16:18:03 2014  commencing Lanczos iteration (8 threads)
Sun Dec 28 16:18:03 2014  memory use: 177.6 MB
Sun Dec 28 16:18:07 2014  linear algebra at 0.5%, ETA 0h14m
Sun Dec 28 16:32:31 2014  lanczos halted after 10218 iterations (dim = 646104)
Sun Dec 28 16:32:31 2014  recovered 35 nontrivial dependencies
Sun Dec 28 16:32:31 2014  BLanczosTime: 911
Sun Dec 28 16:32:31 2014  
Sun Dec 28 16:32:31 2014  commencing square root phase
Sun Dec 28 16:32:31 2014  reading relations for dependency 1
Sun Dec 28 16:32:31 2014  read 322834 cycles
Sun Dec 28 16:32:32 2014  cycles contain 1047052 unique relations
Sun Dec 28 16:32:41 2014  read 1047052 relations
Sun Dec 28 16:32:44 2014  multiplying 1047052 relations
Sun Dec 28 16:33:20 2014  multiply complete, coefficients have about 38.34 million bits
Sun Dec 28 16:33:20 2014  initial square root is modulo 320431
Sun Dec 28 16:34:01 2014  GCD is N, no factor found
Sun Dec 28 16:34:01 2014  reading relations for dependency 2
Sun Dec 28 16:34:01 2014  read 323421 cycles
Sun Dec 28 16:34:02 2014  cycles contain 1046794 unique relations
Sun Dec 28 16:34:11 2014  read 1046794 relations
Sun Dec 28 16:34:15 2014  multiplying 1046794 relations
Sun Dec 28 16:34:49 2014  multiply complete, coefficients have about 38.33 million bits
Sun Dec 28 16:34:49 2014  initial square root is modulo 319201
Sun Dec 28 16:35:26 2014  sqrtTime: 175
--
n: 7181425851778080391319959621416908870415912955698732410587860680338475505240408392783344511967913931288659444591234595502801433575198336077180003116467822469733
m: 100000000000000000000000000000000
deg: 5
c5: 106000
c0: -1
skew: 0.10
# Murphy_E = 3.13e-10
type: snfs
lss: 1
rlim: 3900000
alim: 3900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:23:10 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 10 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:32 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 32 秒 (日本時間)

106×10165-13

c150

name 名前Jo Yeong Uk
date 日付March 1, 2015 15:04:16 UTC 2015 年 3 月 2 日 (月) 0 時 4 分 16 秒 (日本時間)
composite number 合成数
477907450852961655803110145399391614716311204835741650702804141460742727639865251431344728722660578043450501835636071902930397383855397293950287114849<150>
prime factors 素因数
241461176148250140855791590755350498675388203354980357<54>
1979231023705195479345558768462369071018154122586856924977011318831417106927441475218050458608557<97>
factorization results 素因数分解の結果
Number: 35333_165
N=477907450852961655803110145399391614716311204835741650702804141460742727639865251431344728722660578043450501835636071902930397383855397293950287114849
  ( 150 digits)
SNFS difficulty: 167 digits.
Divisors found:
 r1=241461176148250140855791590755350498675388203354980357
 r2=1979231023705195479345558768462369071018154122586856924977011318831417106927441475218050458608557
Version: 
Total time: 14.80 hours.
Scaled time: 75.84 units (timescale=5.126).
Factorization parameters were as follows:
n: 477907450852961655803110145399391614716311204835741650702804141460742727639865251431344728722660578043450501835636071902930397383855397293950287114849
m: 1000000000000000000000000000000000
deg: 5
c5: 106
c0: -1
skew: 0.39
# Murphy_E = 3.29e-10
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2100000, 4200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 10082124
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 728112 x 728360
Total sieving time: 13.70 hours.
Total relation processing time: 0.51 hours.
Matrix solve time: 0.50 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 14.80 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.. 6800.41 BogoMIPS (lpj=3400206)
Total of 12 processors activated (81604.94 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e62950300Serge BatalovDecember 20, 2014 21:23:10 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 10 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:33 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 33 秒 (日本時間)
2350Ignacio SantosFebruary 21, 2015 20:29:27 UTC 2015 年 2 月 22 日 (日) 5 時 29 分 27 秒 (日本時間)

106×10166-13

c126

name 名前Pierre Jammes
date 日付December 25, 2014 18:37:08 UTC 2014 年 12 月 26 日 (金) 3 時 37 分 8 秒 (日本時間)
composite number 合成数
122970163999051046706326488338688749476788819278444610769641514999236770740309947543324600498454367977131881414955961324529061<126>
prime factors 素因数
29533305157730396294517975528670236881<38>
4163779277066907725080602090971209294717109212995199473799021932818305083095854147525781<88>
factorization results 素因数分解の結果
Using B1=11000000, B2=144269945836, polynomial Dickson(12), sigma=2752654137
Step 1 took 69916ms
Step 2 took 57004ms
********** Factor found in step 2: 29533305157730396294517975528670236881
Found probable prime factor of 38 digits: 29533305157730396294517975528670236881
Probable prime cofactor 4163779277066907725080602090971209294717109212995199473799021932818305083095854147525781 has 88 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Debian 8

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:23:10 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 10 秒 (日本時間)

106×10170-13

c169

name 名前Serge Batalov
date 日付December 20, 2014 01:13:40 UTC 2014 年 12 月 20 日 (土) 10 時 13 分 40 秒 (日本時間)
composite number 合成数
2008717074095129808603373128671593708546522645442486261133219632366875118438506727307182111047943907523213947318552207693765397005874549933674436232707978017813151411787<169>
prime factors 素因数
85771667935088775627872384974668463<35>
23419354227963816274915720480952791038544105650171804270879887601471414565600182668942594785706696685299808535373858001801823254291749<134>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=516472060
Step 1 took 11007ms
Step 2 took 8325ms
********** Factor found in step 2: 85771667935088775627872384974668463
Found probable prime factor of 35 digits: 85771667935088775627872384974668463
Probable prime cofactor 

ECM

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

106×10171-13

c151

name 名前Ben Meekins
date 日付January 7, 2015 04:03:41 UTC 2015 年 1 月 7 日 (水) 13 時 3 分 41 秒 (日本時間)
composite number 合成数
4034597903909906887559870794719531876993653162312831291128845062440743621182583878030766629648977762712693321520603532105595287073728450013784515773783<151>
prime factors 素因数
1514648567548330854802824800961116469416629<43>
2663718825839887165609888080239893849876877442052390192067603737238488686404888845679145003014152412326331227<109>
factorization results 素因数分解の結果
Number: 35333_171
N = 4034597903909906887559870794719531876993653162312831291128845062440743621182583878030766629648977762712693321520603532105595287073728450013784515773783 (151 digits)
SNFS difficulty: 174 digits.
Divisors found:
r1=1514648567548330854802824800961116469416629 (pp43)
r2=2663718825839887165609888080239893849876877442052390192067603737238488686404888845679145003014152412326331227 (pp109)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 10.68 hours.
Factorization parameters were as follows:
n: 4034597903909906887559870794719531876993653162312831291128845062440743621182583878030766629648977762712693321520603532105595287073728450013784515773783
m: 10000000000000000000000000000000000
deg: 5
c5: 1060
c0: -1
skew: 0.25
# Murphy_E = 1.918e-10
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Sieved rational special-q in [0, 0)
Total raw relations: 12292423
Relations: 1250712 relations
Pruned matrix : 802638 x 802865
Polynomial selection time: 0.00 hours.
Total sieving time: 9.96 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.50 hours.
time per square root: 0.14 hours.
Prototype def-par.txt line would be: snfs,174,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,52,52,2.4,2.4,200000
total time: 10.68 hours.
x86_64
Linux-3.13.0-43-generic-x86_64-with-Ubuntu-14.04-trusty
processors: 4, speed: 0.80GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:23:11 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 11 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:33 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 33 秒 (日本時間)

106×10173-13

c165

name 名前Jo Yeong Uk
date 日付May 6, 2015 21:40:12 UTC 2015 年 5 月 7 日 (木) 6 時 40 分 12 秒 (日本時間)
composite number 合成数
416376278435838102347255556863528310137236529759548678916592768312792021827672904189581016471117741330893286951921122142583315438649489395300957046858447717819579411<165>
prime factors 素因数
127112405461606456462162631770540489509496613496084481589<57>
3275654149756469462461932669771360611686435959498152077880509573771026069159025040766079874920789146815848999<109>
factorization results 素因数分解の結果
Number: 35333_173
N=416376278435838102347255556863528310137236529759548678916592768312792021827672904189581016471117741330893286951921122142583315438649489395300957046858447717819579411
  ( 165 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=127112405461606456462162631770540489509496613496084481589
 r2=3275654149756469462461932669771360611686435959498152077880509573771026069159025040766079874920789146815848999
Version: 
Total time: 34.25 hours.
Scaled time: 179.96 units (timescale=5.255).
Factorization parameters were as follows:
n: 416376278435838102347255556863528310137236529759548678916592768312792021827672904189581016471117741330893286951921122142583315438649489395300957046858447717819579411
m: 20000000000000000000000000000000000
deg: 5
c5: 6625
c0: -2
skew: 0.20
# Murphy_E = 1.26e-10
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [3600000, 7600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 16351647
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1238977 x 1239224
Total sieving time: 30.78 hours.
Total relation processing time: 1.60 hours.
Matrix solve time: 1.70 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,52,52,2.5,2.5,100000
total time: 34.25 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.18 BogoMIPS (lpj=3400094)
Total of 12 processors activated (81602.25 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e62950300Serge BatalovDecember 20, 2014 21:23:11 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 11 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:33 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 33 秒 (日本時間)
2350Ignacio SantosMarch 19, 2015 23:35:42 UTC 2015 年 3 月 20 日 (金) 8 時 35 分 42 秒 (日本時間)

106×10174-13

c133

name 名前Serge Batalov
date 日付December 21, 2014 01:59:04 UTC 2014 年 12 月 21 日 (日) 10 時 59 分 4 秒 (日本時間)
composite number 合成数
2743520846205557409354985662446248027247590023842381183565324263942500675396607059030583295402221614233861557171719031576697691880117<133>
prime factors 素因数
6893905710627932931903148992037<31>
composite cofactor 合成数の残り
397963210024185724480254034049422963251746597663803444292062675020323461912177730820714638868966421841<102>
factorization results 素因数分解の結果
Input number is 2743520846205557409354985662446248027247590023842381183565324263942500675396607059030583295402221614233861557171719031576697691880117 (133 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2009022240
Step 1 took 8603ms
Step 2 took 7750ms
********** Factor found in step 2: 6893905710627932931903148992037
Found probable prime factor of 31 digits: 6893905710627932931903148992037
Composite cofactor 397963210024185724480254034049422963251746597663803444292062675020323461912177730820714638868966421841 has 102 digits

c102

name 名前Dmitry Domanov
date 日付December 22, 2014 06:53:28 UTC 2014 年 12 月 22 日 (月) 15 時 53 分 28 秒 (日本時間)
composite number 合成数
397963210024185724480254034049422963251746597663803444292062675020323461912177730820714638868966421841<102>
prime factors 素因数
3173450019735712619997654385289222764806298377679<49>
125403963367706799239464748214270649436816409128198879<54>
factorization results 素因数分解の結果
N=397963210024185724480254034049422963251746597663803444292062675020323461912177730820714638868966421841
  ( 102 digits)
Divisors found:
 r1=3173450019735712619997654385289222764806298377679 (pp49)
 r2=125403963367706799239464748214270649436816409128198879 (pp54)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 3.96 hours.
Scaled time: 6.77 units (timescale=1.709).
Factorization parameters were as follows:
n: 397963210024185724480254034049422963251746597663803444292062675020323461912177730820714638868966421841
skew: 1121231.11
c0: 4731917644010522613972414735
c1: -3197068454512010955393
c2: -24309945020822787
c3: 6132818324
c4: 9828
Y0: -2522573680891144185137147
Y1: 21749665578281
rlim: 2080000
alim: 2080000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs

Factor base limits: 2080000/2080000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1040000, 1440001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 229503 x 229734
Total sieving time: 3.76 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
gnfs,101,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2080000,2080000,26,26,52,52,2.5,2.5,100000
total time: 3.96 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:23:12 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 12 秒 (日本時間)

106×10177-13

c145

name 名前KTakahashi
date 日付May 1, 2015 09:06:53 UTC 2015 年 5 月 1 日 (金) 18 時 6 分 53 秒 (日本時間)
composite number 合成数
2984386565854895638567724557878043562239844771037297204509891831981960377693893077582021203549968802499868126146780699388802403029816687084486189<145>
prime factors 素因数
7596195412549092348846921541264738952993651<43>
392879119581971164801776355755715322691118242260889322607747052558543185514546322956207039379702863839<102>
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 2984386565854895638567724557878043562239844771037297204509891831981960377693893077582021203549968802499868126146780699388802403029816687084486189 (145 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=852064365
Step 1 took 41761ms
********** Factor found in step 1: 7596195412549092348846921541264738952993651
Found probable prime factor of 43 digits: 7596195412549092348846921541264738952993651
Probable prime cofactor 392879119581971164801776355755715322691118242260889322607747052558543185514546322956207039379702863839 has 102 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:23:12 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 12 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:34 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 34 秒 (日本時間)

106×10179-13

c144

name 名前Serge Batalov
date 日付December 21, 2014 01:59:08 UTC 2014 年 12 月 21 日 (日) 10 時 59 分 8 秒 (日本時間)
composite number 合成数
212866249625281030047943573861034873816294651124235753018597716402974148030267582739094812532693222875819398662397962320640033745474678553505759<144>
prime factors 素因数
115561787242767586603159819653113<33>
1842012439441595997747146595511844092567151035586925490761151236350662418548754337718164278033937287305034376343<112>
factorization results 素因数分解の結果
Input number is 212866249625281030047943573861034873816294651124235753018597716402974148030267582739094812532693222875819398662397962320640033745474678553505759 (144 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2627473092
Step 1 took 9135ms
Step 2 took 7140ms
********** Factor found in step 2: 115561787242767586603159819653113
Found probable prime factor of 33 digits: 115561787242767586603159819653113
Probable prime cofactor 1842012439441595997747146595511844092567151035586925490761151236350662418548754337718164278033937287305034376343 has 112 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:23:13 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 13 秒 (日本時間)

106×10180-13

c162

name 名前Jo Yeong Uk
date 日付January 12, 2016 09:58:14 UTC 2016 年 1 月 12 日 (火) 18 時 58 分 14 秒 (日本時間)
composite number 合成数
414141394065408311025810439551050423903586058854303359267107289756769507310183818957463484225628245594488793335340774680634999328405405851058400535924706862611593<162>
prime factors 素因数
7243768005360161630096261211944942755133169493398094368815873214295890714391<76>
57172095207764334802128080149457961341096764547049321881732932932586368716009713206623<86>
factorization results 素因数分解の結果
Number: 35333_180
N=414141394065408311025810439551050423903586058854303359267107289756769507310183818957463484225628245594488793335340774680634999328405405851058400535924706862611593
  ( 162 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=7243768005360161630096261211944942755133169493398094368815873214295890714391
 r2=57172095207764334802128080149457961341096764547049321881732932932586368716009713206623
Version: 
Total time: 53.00 hours.
Scaled time: 277.60 units (timescale=5.238).
Factorization parameters were as follows:
n: 414141394065408311025810439551050423903586058854303359267107289756769507310183818957463484225628245594488793335340774680634999328405405851058400535924706862611593
m: 1000000000000000000000000000000000000
deg: 5
c5: 106
c0: -1
skew: 0.39
# Murphy_E = 8.267e-11
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [2900000, 5500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18064050
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1316073 x 1316321
Total sieving time: 49.52 hours.
Total relation processing time: 1.20 hours.
Matrix solve time: 2.02 hours.
Time per square root: 0.26 hours.
Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,5800000,5800000,28,28,53,53,2.5,2.5,100000
total time: 53.00 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:13 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 13 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:34 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 34 秒 (日本時間)
4511e6600 / 4342KTakahashiMay 19, 2015 11:43:58 UTC 2015 年 5 月 19 日 (火) 20 時 43 分 58 秒 (日本時間)

106×10181-13

c178

name 名前Jo Yeong Uk
date 日付February 12, 2016 01:42:40 UTC 2016 年 2 月 12 日 (金) 10 時 42 分 40 秒 (日本時間)
composite number 合成数
2428524625468808350459014064823279012277795724422022594443260729611275685657271025639263286435315330176251320223882477736615049063070617372198891584703960557094384838674941978881<178>
prime factors 素因数
121623782358059926658092394525564552822194450002606126857530569335111<69>
19967514398781330523720821343152823636600341365471785942487731266756793304430749501446392077486661076543326071<110>
factorization results 素因数分解の結果
Number: 35333_181
N=2428524625468808350459014064823279012277795724422022594443260729611275685657271025639263286435315330176251320223882477736615049063070617372198891584703960557094384838674941978881
  ( 178 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=121623782358059926658092394525564552822194450002606126857530569335111
 r2=19967514398781330523720821343152823636600341365471785942487731266756793304430749501446392077486661076543326071
Version: 
Total time: 55.59 hours.
Scaled time: 292.42 units (timescale=5.260).
Factorization parameters were as follows:
n: 2428524625468808350459014064823279012277795724422022594443260729611275685657271025639263286435315330176251320223882477736615049063070617372198891584703960557094384838674941978881
m: 1000000000000000000000000000000000000
deg: 5
c5: 1060
c0: -1
skew: 0.25
# Murphy_E = 7.598e-11
type: snfs
lss: 1
rlim: 6200000
alim: 6200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3100000, 5700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18053324
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1366322 x 1366570
Total sieving time: 52.01 hours.
Total relation processing time: 1.22 hours.
Matrix solve time: 2.11 hours.
Time per square root: 0.26 hours.
Prototype def-par.txt line would be:
snfs,183,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,53,53,2.5,2.5,100000
total time: 55.59 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49365468k/51380224k available (5396k kernel code, 1086460k absent, 928296k reserved, 7012k data, 1296k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.24 BogoMIPS (lpj=3400121)
Total of 12 processors activated (81602.90 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:14 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 14 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:34 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 34 秒 (日本時間)
4511e6498 / 4342CypFebruary 10, 2015 18:20:38 UTC 2015 年 2 月 11 日 (水) 3 時 20 分 38 秒 (日本時間)

106×10183-13

c136

name 名前Jo Yeong Uk
date 日付May 7, 2016 01:22:41 UTC 2016 年 5 月 7 日 (土) 10 時 22 分 41 秒 (日本時間)
composite number 合成数
4639736809044381846798364206728203480340577921798355532847052463572383051463762873297458716939725643882690813651585045300048523976224997<136>
prime factors 素因数
7288034576163404448326656364838417247461394688089<49>
636623874455717822846035451471111622357135292545864870264097630674722415885398139550573<87>
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 4639736809044381846798364206728203480340577921798355532847052463572383051463762873297458716939725643882690813651585045300048523976224997 (136 digits)
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=7740254668
Step 1 took 103843ms
Step 2 took 25838ms
********** Factor found in step 2: 7288034576163404448326656364838417247461394688089
Found probable prime factor of 49 digits: 7288034576163404448326656364838417247461394688089
Probable prime cofactor 636623874455717822846035451471111622357135292545864870264097630674722415885398139550573 has 87 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 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:14 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 14 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:35 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 35 秒 (日本時間)
4511e6600 / 2799KTakahashiMay 28, 2015 11:02:10 UTC 2015 年 5 月 28 日 (木) 20 時 2 分 10 秒 (日本時間)
5043e6440 / 7395Ignacio SantosApril 19, 2016 21:26:50 UTC 2016 年 4 月 20 日 (水) 6 時 26 分 50 秒 (日本時間)

106×10184-13

c169

name 名前Jo Yeong Uk
date 日付July 3, 2016 03:31:05 UTC 2016 年 7 月 3 日 (日) 12 時 31 分 5 秒 (日本時間)
composite number 合成数
2106519289376603461530418996263472427510708271420219435577485146136385206316389823649021581997428983426736751174643091961499961743744175481335156541210389248511528523767<169>
prime factors 素因数
207902830968268058554837925052893791300945231858725635164516939<63>
10132229943988202781240484682581457795623148869351356275951112664464715163112827725615283091922623038834053<107>
factorization results 素因数分解の結果
Number: 35333_184
N=2106519289376603461530418996263472427510708271420219435577485146136385206316389823649021581997428983426736751174643091961499961743744175481335156541210389248511528523767
  ( 169 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=207902830968268058554837925052893791300945231858725635164516939
 r2=10132229943988202781240484682581457795623148869351356275951112664464715163112827725615283091922623038834053
Version: 
Total time: 69.40 hours.
Scaled time: 364.67 units (timescale=5.255).
Factorization parameters were as follows:
n: 2106519289376603461530418996263472427510708271420219435577485146136385206316389823649021581997428983426736751174643091961499961743744175481335156541210389248511528523767
m: 10000000000000000000000000000000000000
deg: 5
c5: 53
c0: -5
skew: 0.62
# Murphy_E = 5.796e-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, 6800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20001690
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1637158 x 1637406
Total sieving time: 63.83 hours.
Total relation processing time: 1.66 hours.
Matrix solve time: 3.38 hours.
Time per square root: 0.52 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: 69.40 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:14 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 14 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:35 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 35 秒 (日本時間)
4511e6600 / 4342KTakahashiJune 2, 2015 10:55:49 UTC 2015 年 6 月 2 日 (火) 19 時 55 分 49 秒 (日本時間)

106×10185-13

c156

name 名前Jo Yeong Uk
date 日付August 30, 2016 14:52:03 UTC 2016 年 8 月 30 日 (火) 23 時 52 分 3 秒 (日本時間)
composite number 合成数
587390363087658474254501803847584265582574124497666668918051022972860848370695506957030188155704281256881421742549526551945819476385912380228492907465761161<156>
prime factors 素因数
3604076766299493431551292418462619734624796325768611<52>
162979426126587450898816333888093841769501065129856340917543094228547685144090107114870493769062620942051<105>
factorization results 素因数分解の結果
Number: 35333_185
N=587390363087658474254501803847584265582574124497666668918051022972860848370695506957030188155704281256881421742549526551945819476385912380228492907465761161
  ( 156 digits)
SNFS difficulty: 187 digits.
Divisors found:
 r1=3604076766299493431551292418462619734624796325768611
 r2=162979426126587450898816333888093841769501065129856340917543094228547685144090107114870493769062620942051
Version: 
Total time: 78.02 hours.
Scaled time: 405.30 units (timescale=5.195).
Factorization parameters were as follows:
n: 587390363087658474254501803847584265582574124497666668918051022972860848370695506957030188155704281256881421742549526551945819476385912380228492907465761161
m: 10000000000000000000000000000000000000
deg: 5
c5: 106
c0: -1
skew: 0.39
# Murphy_E = 5.17e-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, 7200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20198045
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1726174 x 1726421
Total sieving time: 71.52 hours.
Total relation processing time: 1.85 hours.
Matrix solve time: 4.51 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,54,54,2.5,2.5,100000
total time: 78.02 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49368528k/51380224k available (5398k kernel code, 1086460k absent, 925236k reserved, 7010k data, 1296k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.70 BogoMIPS (lpj=3399852)
Total of 12 processors activated (81596.44 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:15 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 15 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:36 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 36 秒 (日本時間)
4511e6498 / 4342CypMay 23, 2015 11:31:33 UTC 2015 年 5 月 23 日 (土) 20 時 31 分 33 秒 (日本時間)

106×10187-13

c189

name 名前Serge Batalov
date 日付December 19, 2014 18:03:28 UTC 2014 年 12 月 20 日 (土) 3 時 3 分 28 秒 (日本時間)
composite number 合成数
353333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<189>
prime factors 素因数
1833837723630294215626850683766657699647<40>
composite cofactor 合成数の残り
192674263802289478455988974820785604484109818696199720203100222239687056710506578895438414814844377134306916968760793642253720912381827687386362399339<150>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=821810985
Step 1 took 4642ms
Step 2 took 2934ms
********** Factor found in step 2: 1833837723630294215626850683766657699647
Found probable prime factor of 40 digits: 1833837723630294215626850683766657699647
Composite cofactor 

c150

name 名前Jo Yeong Uk
date 日付November 30, 2016 07:46:16 UTC 2016 年 11 月 30 日 (水) 16 時 46 分 16 秒 (日本時間)
composite number 合成数
192674263802289478455988974820785604484109818696199720203100222239687056710506578895438414814844377134306916968760793642253720912381827687386362399339<150>
prime factors 素因数
35306945997829383646842178707331128820696666542783886131972050394951965159<74>
5457120641760825016192284831138800308848860972205718173588091404458743309021<76>
factorization results 素因数分解の結果
Number: 35333_187
N=192674263802289478455988974820785604484109818696199720203100222239687056710506578895438414814844377134306916968760793642253720912381827687386362399339
  ( 150 digits)
SNFS difficulty: 189 digits.
Divisors found:
 r1=35306945997829383646842178707331128820696666542783886131972050394951965159
 r2=5457120641760825016192284831138800308848860972205718173588091404458743309021
Version: 
Total time: 99.50 hours.
Scaled time: 513.24 units (timescale=5.158).
Factorization parameters were as follows:
n: 192674263802289478455988974820785604484109818696199720203100222239687056710506578895438414814844377134306916968760793642253720912381827687386362399339
m: 20000000000000000000000000000000000000
deg: 5
c5: 1325
c0: -4
skew: 0.31
# Murphy_E = 3.984e-11
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4200000, 8700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 21082220
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1742259 x 1742507
Total sieving time: 92.10 hours.
Total relation processing time: 2.94 hours.
Matrix solve time: 4.17 hours.
Time per square root: 0.29 hours.
Prototype def-par.txt line would be:
snfs,189,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000
total time: 99.50 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
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:20 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 20 秒 (日本時間)
403e60--
4511e6593 / 4429CypJune 10, 2015 04:01:43 UTC 2015 年 6 月 10 日 (水) 13 時 1 分 43 秒 (日本時間)

106×10189-13

c158

name 名前Jo Yeong Uk
date 日付January 31, 2017 10:32:01 UTC 2017 年 1 月 31 日 (火) 19 時 32 分 1 秒 (日本時間)
composite number 合成数
12947615141877952055068050166363418521576573971399278522625558775688044214135707018470811951135810618821657332297678506703432579138132602779780627548344557121<158>
prime factors 素因数
6654095941237637513760856512873597908708083058129857157983509687587246026141<76>
1945811310239350558990537442954345369315603283203352623398128986640578830292001781<82>
factorization results 素因数分解の結果
Number: 35333_189
N=12947615141877952055068050166363418521576573971399278522625558775688044214135707018470811951135810618821657332297678506703432579138132602779780627548344557121
  ( 158 digits)
SNFS difficulty: 191 digits.
Divisors found:
 r1=6654095941237637513760856512873597908708083058129857157983509687587246026141
 r2=1945811310239350558990537442954345369315603283203352623398128986640578830292001781
Version: 
Total time: 104.46 hours.
Scaled time: 547.79 units (timescale=5.244).
Factorization parameters were as follows:
n: 12947615141877952055068050166363418521576573971399278522625558775688044214135707018470811951135810618821657332297678506703432579138132602779780627548344557121
m: 100000000000000000000000000000000000000
deg: 5
c5: 53
c0: -5
skew: 0.62
# Murphy_E = 3.611e-11
type: snfs
lss: 1
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5

Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4500000, 9100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 21094530
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1845095 x 1845342
Total sieving time: 97.03 hours.
Total relation processing time: 2.55 hours.
Matrix solve time: 4.75 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,54,54,2.5,2.5,100000
total time: 104.46 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:15 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 15 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:36 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 36 秒 (日本時間)
4511e6498 / 4342CypMay 23, 2015 01:52:14 UTC 2015 年 5 月 23 日 (土) 10 時 52 分 14 秒 (日本時間)

106×10190-13

c144

name 名前Jo Yeong Uk
date 日付December 31, 2016 08:41:16 UTC 2016 年 12 月 31 日 (土) 17 時 41 分 16 秒 (日本時間)
composite number 合成数
277470798864572313178232407721566736091739040646145931733254812311628348237897807472513482103020287410518220630999769859274826369993926793756247<144>
prime factors 素因数
5315036902562866672582115122098045712586944247<46>
3819341633440250240115592405239765071388238712473<49>
13668551497353280855745262116400288805161622526537<50>
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 277470798864572313178232407721566736091739040646145931733254812311628348237897807472513482103020287410518220630999769859274826369993926793756247 (144 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1560594070
Step 1 took 24701ms
Step 2 took 8600ms
********** Factor found in step 2: 5315036902562866672582115122098045712586944247
Found probable prime factor of 46 digits: 5315036902562866672582115122098045712586944247
Composite cofactor 52204867802663457960231868848917230246678524738529265852610754699155820926236647075501358155396001 has 98 digits

Number: 35333_190
N=52204867802663457960231868848917230246678524738529265852610754699155820926236647075501358155396001
  ( 98 digits)
Divisors found:
 r1=3819341633440250240115592405239765071388238712473
 r2=13668551497353280855745262116400288805161622526537
Version: 
Total time: 1.38 hours.
Scaled time: 7.24 units (timescale=5.245).
Factorization parameters were as follows:
name: 35333_190
n: 52204867802663457960231868848917230246678524738529265852610754699155820926236647075501358155396001
skew: 6447.14
# norm 2.81e+13
c5: 17460
c4: 157902422
c3: -2274614445420
c2: -17299824930862081
c1: 45804190895919638126
c0: -24667541885650927238976
# alpha -5.42
Y1: 13469995411
Y0: -4955999082672297971
# Murphy_E 4.42e-09
# M 17557422840766502337708776562614336388691159559102877339295855580153591224358864374741959799678064
type: gnfs
rlim: 1000000
alim: 1000000
lpbr: 26
lpba: 26
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
qintsize: 25000
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 51/51
Sieved algebraic special-q in [500000, 875001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4107972
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 169990 x 170238
Polynomial selection time: 0.13 hours.
Total sieving time: 1.01 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
gnfs,97,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1000000,1000000,26,26,51,51,2.5,2.5,25000
total time: 1.38 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GMP-ECM v6.4.4 / GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:16 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 16 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:36 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 36 秒 (日本時間)
4511e6498 / 4342CypFebruary 3, 2015 10:01:23 UTC 2015 年 2 月 3 日 (火) 19 時 1 分 23 秒 (日本時間)

106×10191-13

c192

name 名前Serge Batalov
date 日付December 20, 2014 01:29:24 UTC 2014 年 12 月 20 日 (土) 10 時 29 分 24 秒 (日本時間)
composite number 合成数
153623188405797101449275362318840579710144927536231884057971014492753623188405797101449275362318840579710144927536231884057971014492753623188405797101449275362318840579710144927536231884057971<192>
prime factors 素因数
51727896386660136807335785764178160368459<41>
composite cofactor 合成数の残り
2969832510827064308163802771466068958511758669729104530243131709709930575820011204953892556069343289632648962766144747694949933673265291993823128507769<151>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3044097871
Step 1 took 13642ms
Step 2 took 9501ms
********** Factor found in step 2: 51727896386660136807335785764178160368459
Found probable prime factor of 41 digits: 51727896386660136807335785764178160368459
Composite cofactor

c151

name 名前Jo Yeong Uk
date 日付April 16, 2017 14:14:36 UTC 2017 年 4 月 16 日 (日) 23 時 14 分 36 秒 (日本時間)
composite number 合成数
2969832510827064308163802771466068958511758669729104530243131709709930575820011204953892556069343289632648962766144747694949933673265291993823128507769<151>
prime factors 素因数
1363331270892220014100343634295576922167834387253866616517207374355775710803<76>
2178364550300004384392535894541278057757424687607123633408602917601523893123<76>
factorization results 素因数分解の結果
Number: 35333_191
N=2969832510827064308163802771466068958511758669729104530243131709709930575820011204953892556069343289632648962766144747694949933673265291993823128507769
  ( 151 digits)
SNFS difficulty: 193 digits.
Divisors found:
 r1=1363331270892220014100343634295576922167834387253866616517207374355775710803
 r2=2178364550300004384392535894541278057757424687607123633408602917601523893123
Version: 
Total time: 124.01 hours.
Scaled time: 647.21 units (timescale=5.219).
Factorization parameters were as follows:
n: 2969832510827064308163802771466068958511758669729104530243131709709930575820011204953892556069343289632648962766144747694949933673265291993823128507769
m: 100000000000000000000000000000000000000
deg: 5
c5: 1060
c0: -1
skew: 0.25
# Murphy_E = 2.957e-11
type: snfs
lss: 1
rlim: 10000000
alim: 10000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [5000000, 10300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 22675350
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2059314 x 2059562
Total sieving time: 114.25 hours.
Total relation processing time: 3.22 hours.
Matrix solve time: 6.36 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,10000000,10000000,28,28,55,55,2.5,2.5,100000
total time: 124.01 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
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:23 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 23 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:44 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 44 秒 (日本時間)

106×10196-13

c170

name 名前Jo Yeong Uk
date 日付November 5, 2017 04:36:03 UTC 2017 年 11 月 5 日 (日) 13 時 36 分 3 秒 (日本時間)
composite number 合成数
75598545214987206193015133481689453802366873897235569088222309345527253454604821681897394501091890265540299982071803645078298144737536307349687077443289918092805418855101<170>
prime factors 素因数
232774178128087136872262536828391531198768963<45>
263483254919455033901799501609295047423056275729308701<54>
1232609800401572585508468673477360024541045247409094367379530661732218827<73>
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 75598545214987206193015133481689453802366873897235569088222309345527253454604821681897394501091890265540299982071803645078298144737536307349687077443289918092805418855101 (170 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4473562134
Step 1 took 29368ms
Step 2 took 10039ms
********** Factor found in step 2: 232774178128087136872262536828391531198768963
Found probable prime factor of 45 digits: 232774178128087136872262536828391531198768963
Composite cofactor 324772042255426137362882809186333504563803724428495819692202224175554883668764145289470120946694680271949694333084347567113727 has 126 digits

Number: 35333_196
N=324772042255426137362882809186333504563803724428495819692202224175554883668764145289470120946694680271949694333084347567113727
  ( 126 digits)
Divisors found:
 r1=263483254919455033901799501609295047423056275729308701
 r2=1232609800401572585508468673477360024541045247409094367379530661732218827
Version: 
Total time: 35.36 hours.
Scaled time: 185.82 units (timescale=5.255).
Factorization parameters were as follows:
name: 35333_196
n: 324772042255426137362882809186333504563803724428495819692202224175554883668764145289470120946694680271949694333084347567113727
skew: 82863.70
# norm 4.64e+17
c5: 236700
c4: -65810922840
c3: -9270607726628663
c2: 232864014298654887088
c1: -8333784457463706559150412
c0: 117441217834141214750610471312
# alpha -6.61
Y1: 2307338815871
Y0: -1065310304756446761196543
# Murphy_E 1.36e-10
# M 155742908761900193210996516411174386670898118585157784957749047543688139677669422130155507347288557332644476056086226230985863
type: gnfs
rlim: 6800000
alim: 6800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved algebraic special-q in [3400000, 6600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18231565
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1069247 x 1069495
Polynomial selection time: 5.98 hours.
Total sieving time: 26.58 hours.
Total relation processing time: 1.43 hours.
Matrix solve time: 1.23 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
gnfs,125,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,6800000,6800000,28,28,54,54,2.5,2.5,100000
total time: 35.36 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GMP-ECM v6.4.4 / GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:16 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 16 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:37 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 37 秒 (日本時間)
4511e6498 / 4342CypJune 18, 2015 15:38:37 UTC 2015 年 6 月 19 日 (金) 0 時 38 分 37 秒 (日本時間)

106×10197-13

c179

name 名前Jo Yeong Uk
date 日付February 22, 2018 03:25:50 UTC 2018 年 2 月 22 日 (木) 12 時 25 分 50 秒 (日本時間)
composite number 合成数
81508584714094285426775433578182506432822742908521786890946630056520118469035122206359551509350373301364581272190089615323093926745154769958802548431707495568429932622558213005889<179>
prime factors 素因数
184194942010360586546538881677302099702655695913<48>
442512610957089121497264685501815239136095711411376309166361754434414708519345875700066404658098939459839987005316060720915989182553<132>
factorization results 素因数分解の結果
Number: 35333_197
N=81508584714094285426775433578182506432822742908521786890946630056520118469035122206359551509350373301364581272190089615323093926745154769958802548431707495568429932622558213005889
  ( 179 digits)
SNFS difficulty: 199 digits.
Divisors found:
 r1=184194942010360586546538881677302099702655695913
 r2=442512610957089121497264685501815239136095711411376309166361754434414708519345875700066404658098939459839987005316060720915989182553
Version: 
Total time: 205.43 hours.
Scaled time: 1077.30 units (timescale=5.244).
Factorization parameters were as follows:
n: 81508584714094285426775433578182506432822742908521786890946630056520118469035122206359551509350373301364581272190089615323093926745154769958802548431707495568429932622558213005889
m: 2000000000000000000000000000000000000000
deg: 5
c5: 1325
c0: -4
skew: 0.31
# Murphy_E = 1.536e-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, 15000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 34919988
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2789202 x 2789448
Total sieving time: 184.47 hours.
Total relation processing time: 7.34 hours.
Matrix solve time: 13.39 hours.
Time per square root: 0.24 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: 205.43 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 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:16 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 16 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:37 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 37 秒 (日本時間)
4511e6498 / 4342CypJuly 25, 2015 18:26:15 UTC 2015 年 7 月 26 日 (日) 3 時 26 分 15 秒 (日本時間)

106×10199-13

c180

name 名前Jo Yeong Uk
date 日付June 7, 2018 09:39:38 UTC 2018 年 6 月 7 日 (木) 18 時 39 分 38 秒 (日本時間)
composite number 合成数
317405477971387104375944498611980898747301663451319581475217942819988111689838983630513211775104183589323825819257972645434083804947727526269718540566419846156156307807797590938803<180>
prime factors 素因数
4263939369197537000772693866410938962574529789088340145318759823<64>
74439491392468378812736240398623552227324485599735547869467661561241777680394692548844264384091793825020225907375261<116>
factorization results 素因数分解の結果
Number: 35333_199
N=317405477971387104375944498611980898747301663451319581475217942819988111689838983630513211775104183589323825819257972645434083804947727526269718540566419846156156307807797590938803
  ( 180 digits)
SNFS difficulty: 201 digits.
Divisors found:
 r1=4263939369197537000772693866410938962574529789088340145318759823
 r2=74439491392468378812736240398623552227324485599735547869467661561241777680394692548844264384091793825020225907375261
Version: 
Total time: 221.15 hours.
Scaled time: 1159.49 units (timescale=5.243).
Factorization parameters were as follows:
n: 317405477971387104375944498611980898747301663451319581475217942819988111689838983630513211775104183589323825819257972645434083804947727526269718540566419846156156307807797590938803
m: 10000000000000000000000000000000000000000
deg: 5
c5: 53
c0: -5
skew: 0.62
# Murphy_E = 1.384e-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, 16200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 38108228
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3198238 x 3198481
Total sieving time: 199.69 hours.
Total relation processing time: 2.54 hours.
Matrix solve time: 18.68 hours.
Time per square root: 0.24 hours.
Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,16000000,16000000,29,29,56,56,2.6,2.6,100000
total time: 221.15 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49367612k/51380224k available (5516k kernel code, 1086464k absent, 926148k reserved, 6912k data, 1332k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.92 BogoMIPS (lpj=3399960)
Total of 12 processors activated (81599.04 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:17 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 17 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:38 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 38 秒 (日本時間)
4511e6498 / 4342CypJuly 25, 2015 07:17:28 UTC 2015 年 7 月 25 日 (土) 16 時 17 分 28 秒 (日本時間)

106×10201-13

c166

composite cofactor 合成数の残り
3299870167172713896946455699051038728491608245556575427621938655840599067899719332549090779721323057533329173980102446451058618876045865686469692428732480927098177797<166>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:18 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 18 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:38 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 38 秒 (日本時間)
4511e61298 / 4342498CypJuly 25, 2015 07:17:32 UTC 2015 年 7 月 25 日 (土) 16 時 17 分 32 秒 (日本時間)
800Dmitry DomanovFebruary 5, 2016 21:33:31 UTC 2016 年 2 月 6 日 (土) 6 時 33 分 31 秒 (日本時間)

106×10202-13

c189

composite cofactor 合成数の残り
760235145340222471932146385896835269400385355605908021031972122810186022532447110791998429122062746629106710415667453511027610283527567797731875176520577394633334745031632754689496195659259<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:18 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 18 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:38 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 38 秒 (日本時間)
4511e61298 / 4342498CypMay 26, 2015 17:59:20 UTC 2015 年 5 月 27 日 (水) 2 時 59 分 20 秒 (日本時間)
800Dmitry DomanovFebruary 5, 2016 21:33:51 UTC 2016 年 2 月 6 日 (土) 6 時 33 分 51 秒 (日本時間)

106×10203-13

c195

name 名前Cyp
date 日付February 1, 2015 15:03:43 UTC 2015 年 2 月 2 日 (月) 0 時 3 分 43 秒 (日本時間)
composite number 合成数
170411483394353294225842835957653144496312147683460905148673161075918347024624609714503313976611732655130380505175640623988146398685710977364120302067663774875413751648284354471578042851546570899<195>
prime factors 素因数
917444480150644710660988731758525369<36>
185745826675388213039161580724041964846445314926107296592863405555902924651788273733745760079050147458150443382515095490448665971820753928718343106903903411371<159>
factorization results 素因数分解の結果
Run 316 out of 498:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3995720008
Step 1 took 69458ms
Step 2 took 20736ms
********** Factor found in step 2: 917444480150644710660988731758525369
Found probable prime factor of 36 digits: 917444480150644710660988731758525369
Probable prime cofactor 185745826675388213039161580724041964846445314926107296592863405555902924651788273733745760079050147458150443382515095490448665971820753928718343106903903411371 has 159 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 1228300Serge BatalovDecember 20, 2014 21:23:18 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 18 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:39 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 39 秒 (日本時間)
4511e6316 / 4342CypFebruary 1, 2015 15:03:43 UTC 2015 年 2 月 2 日 (月) 0 時 3 分 43 秒 (日本時間)

106×10204-13

c157

name 名前Serge Batalov
date 日付December 21, 2014 01:59:11 UTC 2014 年 12 月 21 日 (日) 10 時 59 分 11 秒 (日本時間)
composite number 合成数
4358380104099122236386909423944864879158913017992296453619068106435702507567040559765463470499089184044062693107568888114942570979236024815451805109067298471<157>
prime factors 素因数
27995102382514317918157683086401613<35>
155683663683307594720199575867473224706733939332351075236182796348601693737712394548792454757618016355466255945650956700867<123>
factorization results 素因数分解の結果
Input number is 4358380104099122236386909423944864879158913017992296453619068106435702507567040559765463470499089184044062693107568888114942570979236024815451805109067298471 (157 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1735099273
Step 1 took 11181ms
Step 2 took 8049ms
********** Factor found in step 2: 27995102382514317918157683086401613
Found probable prime factor of 35 digits: 27995102382514317918157683086401613
Probable prime cofactor 155683663683307594720199575867473224706733939332351075236182796348601693737712394548792454757618016355466255945650956700867 has 123 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:23:19 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 19 秒 (日本時間)

106×10206-13

c199

name 名前Dmitry Domanov
date 日付February 6, 2016 12:10:34 UTC 2016 年 2 月 6 日 (土) 21 時 10 分 34 秒 (日本時間)
composite number 合成数
4475275416143627824065502150775356517126938758286511260371988548805434175285094011154393455834481557068930170791130520386220203277994935802826447921351496326426477393826603872456070906557541652246411<199>
prime factors 素因数
242625997370291252143138735380218034409579<42>
composite cofactor 合成数の残り
18445160307011726851353066324853716667831027326553975060374642341175664291898524229697216233066666427506509453446591985502465124863326140031570982597857043809<158>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1168256750
Step 1 took 73995ms
Step 2 took 22694ms
********** Factor found in step 2: 242625997370291252143138735380218034409579
Found probable prime factor of 42 digits: 242625997370291252143138735380218034409579

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:19 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 19 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:39 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 39 秒 (日本時間)
4511e61298 / 4342498CypMay 19, 2015 06:33:11 UTC 2015 年 5 月 19 日 (火) 15 時 33 分 11 秒 (日本時間)
800Dmitry DomanovFebruary 5, 2016 21:34:08 UTC 2016 年 2 月 6 日 (土) 6 時 34 分 8 秒 (日本時間)

106×10209-13

c169

composite cofactor 合成数の残り
1051351734069528331711456127755508548932292391356222161469654441223734360909954482744546179494408340928015574740251826436711893904111681925576933342959276948368166384573<169>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:20 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 20 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:40 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 40 秒 (日本時間)
4511e61298 / 4342498CypJune 26, 2015 06:05:09 UTC 2015 年 6 月 26 日 (金) 15 時 5 分 9 秒 (日本時間)
800Dmitry DomanovFebruary 5, 2016 21:34:26 UTC 2016 年 2 月 6 日 (土) 6 時 34 分 26 秒 (日本時間)

106×10211-13

c202

composite cofactor 合成数の残り
2640141026330779823252008846306977560744571916394924399884717328496843425310116912181812593301249322828182669797647140762207885944995628283464749067407341810922862801207169884494389284879157754779441567<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:20 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 20 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:40 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 40 秒 (日本時間)
4511e61298 / 4342498CypMay 27, 2015 02:17:37 UTC 2015 年 5 月 27 日 (水) 11 時 17 分 37 秒 (日本時間)
800Dmitry DomanovFebruary 5, 2016 21:34:43 UTC 2016 年 2 月 6 日 (土) 6 時 34 分 43 秒 (日本時間)

106×10212-13

c212

name 名前Serge Batalov
date 日付December 19, 2014 18:07:57 UTC 2014 年 12 月 20 日 (土) 3 時 7 分 57 秒 (日本時間)
composite number 合成数
25419664268585131894484412470023980815347721822541966426858513189448441247002398081534772182254196642685851318944844124700239808153477218225419664268585131894484412470023980815347721822541966426858513189448441247<212>
prime factors 素因数
4406064574986285711553968107338163<34>
composite cofactor 合成数の残り
5769244602744900301213167923821793003225725922887672290738870337874744650230440714370416383592191758685104089912907020460523581042377255752863053311493501544906162879255850516069<178>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3540936743
Step 1 took 5379ms
Step 2 took 3341ms
********** Factor found in step 2: 4406064574986285711553968107338163
Found probable prime factor of 34 digits: 4406064574986285711553968107338163
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:35 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 35 秒 (日本時間)
403e60--
4511e61393 / 4429593CypJuly 25, 2015 07:17:29 UTC 2015 年 7 月 25 日 (土) 16 時 17 分 29 秒 (日本時間)
800Dmitry DomanovFebruary 5, 2016 21:35:03 UTC 2016 年 2 月 6 日 (土) 6 時 35 分 3 秒 (日本時間)

106×10213-13

c185

name 名前Serge Batalov
date 日付December 20, 2014 23:11:34 UTC 2014 年 12 月 21 日 (日) 8 時 11 分 34 秒 (日本時間)
composite number 合成数
53065413572522138619104384860341485025894522614573847674315095692175519048516612709155164866088748827864377553506246514984683538270470885255748013526677620066633472103885032579139975339<185>
prime factors 素因数
17370571019199601610343531085350359<35>
16863262372613228126344946400781963903<38>
181157309060155267805124919028486994429518658153111264885548511660692727158652767874796849256386494030548892192307<114>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2717483025
Step 1 took 16376ms
Step 2 took 11660ms
********** Factor found in step 2: 16863262372613228126344946400781963903
Found probable prime factor of 38 digits: 16863262372613228126344946400781963903

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4077134930
Step 1 took 12915ms
Step 2 took 8982ms
********** Factor found in step 2: 17370571019199601610343531085350359
Found probable prime factor of 35 digits: 17370571019199601610343531085350359

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:23:21 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 21 秒 (日本時間)

106×10214-13

c173

composite cofactor 合成数の残り
11378725058327146955049757271342125413941232647517602085142994988769660532860567355998203539462164818671794672259996123114647416993123667693735990056065666564176307648776801<173>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:21 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 21 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:40 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 40 秒 (日本時間)
4511e61298 / 4342498CypJune 25, 2015 14:25:21 UTC 2015 年 6 月 25 日 (木) 23 時 25 分 21 秒 (日本時間)
800Dmitry DomanovFebruary 5, 2016 21:35:18 UTC 2016 年 2 月 6 日 (土) 6 時 35 分 18 秒 (日本時間)

106×10215-13

c138

name 名前Serge Batalov
date 日付December 19, 2014 17:58:39 UTC 2014 年 12 月 20 日 (土) 2 時 58 分 39 秒 (日本時間)
composite number 合成数
537631068118607947277893837004044205258369433686814753143247601769262279681594985534115110829341293072783849086536421703354884832438434693<138>
prime factors 素因数
12888520012479853625754332960647<32>
composite cofactor 合成数の残り
41713949126666519354040098051009544434810121140276686738532542006791460263354115969817628011840770928099219<107>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=1051669962
Step 1 took 3064ms
Step 2 took 2205ms
********** Factor found in step 2: 12888520012479853625754332960647
Found probable prime factor of 32 digits: 12888520012479853625754332960647
Composite cofactor 

c107

name 名前Cyp
date 日付December 20, 2014 17:41:29 UTC 2014 年 12 月 21 日 (日) 2 時 41 分 29 秒 (日本時間)
composite number 合成数
41713949126666519354040098051009544434810121140276686738532542006791460263354115969817628011840770928099219<107>
prime factors 素因数
68599604028542281777238021031709393042639141<44>
608078570093649075054823718574604035757869484856704980040143959<63>
factorization results 素因数分解の結果
12/20/14 15:48:54 v1.34.3, 
12/20/14 15:48:54 v1.34.3, ****************************
12/20/14 15:48:54 v1.34.3, Starting factorization of 41713949126666519354040098051009544434810121140276686738532542006791460263354115969817628011840770928099219
12/20/14 15:48:54 v1.34.3, using pretesting plan: none
12/20/14 15:48:54 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/20/14 15:48:54 v1.34.3, ****************************
12/20/14 15:48:54 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C107
12/20/14 15:48:54 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C107
12/20/14 15:48:54 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C107
12/20/14 15:48:54 v1.34.3, final ECM pretested depth: 0.00
12/20/14 15:48:54 v1.34.3, scheduler: switching to sieve method
12/20/14 15:48:54 v1.34.3, nfs: commencing nfs on c107: 41713949126666519354040098051009544434810121140276686738532542006791460263354115969817628011840770928099219
12/20/14 15:48:54 v1.34.3, nfs: commencing poly selection with 8 threads
12/20/14 15:48:54 v1.34.3, nfs: setting deadline of 317 seconds
12/20/14 15:55:02 v1.34.3, nfs: completed 27 ranges of size 250 in 368.0940 seconds
12/20/14 15:55:02 v1.34.3, nfs: best poly = # norm 1.414327e-14 alpha -5.397591 e 4.680e-09 rroots 2
12/20/14 15:55:02 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 15:58:03 v1.34.3, nfs: commencing lattice sieving with 8 threads
[29 lines snipped]
12/20/14 17:33:45 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 17:37:30 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 17:40:56 v1.34.3, nfs: commencing msieve filtering
12/20/14 17:42:25 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 17:46:08 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 17:49:47 v1.34.3, nfs: commencing msieve filtering
12/20/14 17:51:30 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 17:55:24 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 17:57:46 v1.34.3, nfs: commencing msieve filtering
12/20/14 17:58:39 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 18:00:47 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 18:02:56 v1.34.3, nfs: commencing msieve filtering
12/20/14 18:04:44 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 18:08:16 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 18:11:59 v1.34.3, nfs: commencing msieve filtering
12/20/14 18:13:56 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 18:17:34 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 18:21:26 v1.34.3, nfs: commencing msieve filtering
12/20/14 18:23:59 v1.34.3, nfs: commencing msieve linear algebra
12/20/14 18:38:46 v1.34.3, nfs: commencing msieve sqrt
12/20/14 18:41:28 v1.34.3, prp44 = 68599604028542281777238021031709393042639141
12/20/14 18:41:28 v1.34.3, prp63 = 608078570093649075054823718574604035757869484856704980040143959
12/20/14 18:41:28 v1.34.3, NFS elapsed time = 10353.9077 seconds.
12/20/14 18:41:28 v1.34.3, 
12/20/14 18:41:28 v1.34.3, 
12/20/14 18:41:28 v1.34.3, Total factoring time = 10353.9305 seconds
--
Sat Dec 20 17:40:56 2014  
Sat Dec 20 17:40:56 2014  commencing relation filtering
Sat Dec 20 17:40:56 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 17:40:56 2014  commencing duplicate removal, pass 1
Sat Dec 20 17:41:26 2014  found 531935 hash collisions in 4511447 relations
Sat Dec 20 17:41:33 2014  added 159561 free relations
Sat Dec 20 17:41:33 2014  commencing duplicate removal, pass 2
Sat Dec 20 17:41:40 2014  found 335965 duplicates and 4335043 unique relations
Sat Dec 20 17:41:40 2014  memory use: 20.6 MB
Sat Dec 20 17:41:40 2014  reading ideals above 100000
Sat Dec 20 17:41:40 2014  commencing singleton removal, initial pass
Sat Dec 20 17:42:21 2014  memory use: 172.2 MB
Sat Dec 20 17:42:21 2014  reading all ideals from disk
Sat Dec 20 17:42:21 2014  memory use: 142.1 MB
Sat Dec 20 17:42:22 2014  keeping 5508224 ideals with weight <= 200, target excess is 20913
Sat Dec 20 17:42:22 2014  commencing in-memory singleton removal
Sat Dec 20 17:42:23 2014  begin with 4335043 relations and 5508224 unique ideals
Sat Dec 20 17:42:25 2014  reduce to 417 relations and 0 ideals in 17 passes
Sat Dec 20 17:42:25 2014  max relations containing the same ideal: 0
Sat Dec 20 17:49:47 2014  
Sat Dec 20 17:49:47 2014  commencing relation filtering
Sat Dec 20 17:49:47 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 17:49:47 2014  commencing duplicate removal, pass 1
Sat Dec 20 17:50:19 2014  found 607632 hash collisions in 4959559 relations
Sat Dec 20 17:50:24 2014  added 934 free relations
Sat Dec 20 17:50:24 2014  commencing duplicate removal, pass 2
Sat Dec 20 17:50:32 2014  found 372850 duplicates and 4587643 unique relations
Sat Dec 20 17:50:32 2014  memory use: 20.6 MB
Sat Dec 20 17:50:32 2014  reading ideals above 100000
Sat Dec 20 17:50:32 2014  commencing singleton removal, initial pass
Sat Dec 20 17:51:16 2014  memory use: 172.2 MB
Sat Dec 20 17:51:16 2014  reading all ideals from disk
Sat Dec 20 17:51:16 2014  memory use: 150.4 MB
Sat Dec 20 17:51:17 2014  keeping 5633744 ideals with weight <= 200, target excess is 21922
Sat Dec 20 17:51:17 2014  commencing in-memory singleton removal
Sat Dec 20 17:51:17 2014  begin with 4587643 relations and 5633744 unique ideals
Sat Dec 20 17:51:30 2014  reduce to 574420 relations and 750784 ideals in 126 passes
Sat Dec 20 17:51:30 2014  max relations containing the same ideal: 47
Sat Dec 20 17:57:46 2014  
Sat Dec 20 17:57:46 2014  commencing relation filtering
Sat Dec 20 17:57:46 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 17:57:46 2014  commencing duplicate removal, pass 1
Sat Dec 20 17:58:03 2014  found 671055 hash collisions in 5260399 relations
Sat Dec 20 17:58:06 2014  added 822 free relations
Sat Dec 20 17:58:06 2014  commencing duplicate removal, pass 2
Sat Dec 20 17:58:11 2014  found 412409 duplicates and 4848812 unique relations
Sat Dec 20 17:58:11 2014  memory use: 20.6 MB
Sat Dec 20 17:58:11 2014  reading ideals above 100000
Sat Dec 20 17:58:11 2014  commencing singleton removal, initial pass
Sat Dec 20 17:58:35 2014  memory use: 172.2 MB
Sat Dec 20 17:58:36 2014  reading all ideals from disk
Sat Dec 20 17:58:36 2014  memory use: 159.1 MB
Sat Dec 20 17:58:36 2014  keeping 5754014 ideals with weight <= 200, target excess is 23107
Sat Dec 20 17:58:36 2014  commencing in-memory singleton removal
Sat Dec 20 17:58:36 2014  begin with 4848812 relations and 5754014 unique ideals
Sat Dec 20 17:58:39 2014  reduce to 1195889 relations and 1320626 ideals in 31 passes
Sat Dec 20 17:58:39 2014  max relations containing the same ideal: 77
Sat Dec 20 18:02:56 2014  
Sat Dec 20 18:02:56 2014  commencing relation filtering
Sat Dec 20 18:02:56 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 18:02:56 2014  commencing duplicate removal, pass 1
Sat Dec 20 18:03:29 2014  found 732920 hash collisions in 5543643 relations
Sat Dec 20 18:03:36 2014  added 629 free relations
Sat Dec 20 18:03:36 2014  commencing duplicate removal, pass 2
Sat Dec 20 18:03:44 2014  found 451140 duplicates and 5093132 unique relations
Sat Dec 20 18:03:44 2014  memory use: 20.6 MB
Sat Dec 20 18:03:44 2014  reading ideals above 100000
Sat Dec 20 18:03:44 2014  commencing singleton removal, initial pass
Sat Dec 20 18:04:33 2014  memory use: 172.2 MB
Sat Dec 20 18:04:33 2014  reading all ideals from disk
Sat Dec 20 18:04:34 2014  memory use: 167.2 MB
Sat Dec 20 18:04:34 2014  keeping 5859220 ideals with weight <= 200, target excess is 24342
Sat Dec 20 18:04:35 2014  commencing in-memory singleton removal
Sat Dec 20 18:04:36 2014  begin with 5093132 relations and 5859220 unique ideals
Sat Dec 20 18:04:44 2014  reduce to 1581462 relations and 1638286 ideals in 30 passes
Sat Dec 20 18:04:44 2014  max relations containing the same ideal: 92
Sat Dec 20 18:11:59 2014  
Sat Dec 20 18:11:59 2014  commencing relation filtering
Sat Dec 20 18:11:59 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 18:11:59 2014  commencing duplicate removal, pass 1
Sat Dec 20 18:12:36 2014  found 797079 hash collisions in 5828879 relations
Sat Dec 20 18:12:43 2014  added 580 free relations
Sat Dec 20 18:12:43 2014  commencing duplicate removal, pass 2
Sat Dec 20 18:12:52 2014  found 491356 duplicates and 5338103 unique relations
Sat Dec 20 18:12:52 2014  memory use: 20.6 MB
Sat Dec 20 18:12:52 2014  reading ideals above 100000
Sat Dec 20 18:12:52 2014  commencing singleton removal, initial pass
Sat Dec 20 18:13:45 2014  memory use: 172.2 MB
Sat Dec 20 18:13:45 2014  reading all ideals from disk
Sat Dec 20 18:13:45 2014  memory use: 175.3 MB
Sat Dec 20 18:13:46 2014  keeping 5959265 ideals with weight <= 200, target excess is 25585
Sat Dec 20 18:13:46 2014  commencing in-memory singleton removal
Sat Dec 20 18:13:47 2014  begin with 5338103 relations and 5959265 unique ideals
Sat Dec 20 18:13:55 2014  reduce to 1946038 relations and 1920708 ideals in 25 passes
Sat Dec 20 18:13:55 2014  max relations containing the same ideal: 98
Sat Dec 20 18:21:26 2014  
Sat Dec 20 18:21:26 2014  commencing relation filtering
Sat Dec 20 18:21:26 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 18:21:26 2014  commencing duplicate removal, pass 1
Sat Dec 20 18:22:04 2014  found 864151 hash collisions in 6119035 relations
Sat Dec 20 18:22:12 2014  added 430 free relations
Sat Dec 20 18:22:12 2014  commencing duplicate removal, pass 2
Sat Dec 20 18:22:21 2014  found 533393 duplicates and 5586072 unique relations
Sat Dec 20 18:22:21 2014  memory use: 37.3 MB
Sat Dec 20 18:22:21 2014  reading ideals above 100000
Sat Dec 20 18:22:21 2014  commencing singleton removal, initial pass
Sat Dec 20 18:23:15 2014  memory use: 172.2 MB
Sat Dec 20 18:23:15 2014  reading all ideals from disk
Sat Dec 20 18:23:15 2014  memory use: 183.5 MB
Sat Dec 20 18:23:15 2014  keeping 6054047 ideals with weight <= 200, target excess is 26863
Sat Dec 20 18:23:16 2014  commencing in-memory singleton removal
Sat Dec 20 18:23:17 2014  begin with 5586072 relations and 6054047 unique ideals
Sat Dec 20 18:23:24 2014  reduce to 2299967 relations and 2178830 ideals in 18 passes
Sat Dec 20 18:23:24 2014  max relations containing the same ideal: 111
Sat Dec 20 18:23:25 2014  removing 373947 relations and 328959 ideals in 44988 cliques
Sat Dec 20 18:23:25 2014  commencing in-memory singleton removal
Sat Dec 20 18:23:26 2014  begin with 1926020 relations and 2178830 unique ideals
Sat Dec 20 18:23:28 2014  reduce to 1873645 relations and 1796032 ideals in 10 passes
Sat Dec 20 18:23:28 2014  max relations containing the same ideal: 96
Sat Dec 20 18:23:29 2014  removing 279866 relations and 234878 ideals in 44988 cliques
Sat Dec 20 18:23:29 2014  commencing in-memory singleton removal
Sat Dec 20 18:23:29 2014  begin with 1593779 relations and 1796032 unique ideals
Sat Dec 20 18:23:31 2014  reduce to 1556840 relations and 1523273 ideals in 10 passes
Sat Dec 20 18:23:31 2014  max relations containing the same ideal: 83
Sat Dec 20 18:23:32 2014  relations with 0 large ideals: 526
Sat Dec 20 18:23:32 2014  relations with 1 large ideals: 216
Sat Dec 20 18:23:32 2014  relations with 2 large ideals: 3202
Sat Dec 20 18:23:32 2014  relations with 3 large ideals: 28286
Sat Dec 20 18:23:32 2014  relations with 4 large ideals: 127300
Sat Dec 20 18:23:32 2014  relations with 5 large ideals: 337237
Sat Dec 20 18:23:32 2014  relations with 6 large ideals: 461753
Sat Dec 20 18:23:32 2014  relations with 7+ large ideals: 598320
Sat Dec 20 18:23:32 2014  commencing 2-way merge
Sat Dec 20 18:23:32 2014  reduce to 899883 relation sets and 866318 unique ideals
Sat Dec 20 18:23:32 2014  ignored 2 oversize relation sets
Sat Dec 20 18:23:32 2014  commencing full merge
Sat Dec 20 18:23:51 2014  memory use: 103.0 MB
Sat Dec 20 18:23:51 2014  found 431014 cycles, need 426518
Sat Dec 20 18:23:51 2014  weight of 426518 cycles is about 30060231 (70.48/cycle)
Sat Dec 20 18:23:51 2014  distribution of cycle lengths:
Sat Dec 20 18:23:51 2014  1 relations: 48064
Sat Dec 20 18:23:51 2014  2 relations: 45643
Sat Dec 20 18:23:51 2014  3 relations: 43480
Sat Dec 20 18:23:51 2014  4 relations: 40129
Sat Dec 20 18:23:51 2014  5 relations: 35802
Sat Dec 20 18:23:51 2014  6 relations: 32396
Sat Dec 20 18:23:51 2014  7 relations: 28227
Sat Dec 20 18:23:51 2014  8 relations: 25154
Sat Dec 20 18:23:51 2014  9 relations: 21980
Sat Dec 20 18:23:51 2014  10+ relations: 105643
Sat Dec 20 18:23:51 2014  heaviest cycle: 26 relations
Sat Dec 20 18:23:51 2014  commencing cycle optimization
Sat Dec 20 18:23:52 2014  start with 2837497 relations
Sat Dec 20 18:23:59 2014  pruned 67166 relations
Sat Dec 20 18:23:59 2014  memory use: 91.2 MB
Sat Dec 20 18:23:59 2014  distribution of cycle lengths:
Sat Dec 20 18:23:59 2014  1 relations: 48064
Sat Dec 20 18:23:59 2014  2 relations: 46520
Sat Dec 20 18:23:59 2014  3 relations: 44888
Sat Dec 20 18:23:59 2014  4 relations: 41023
Sat Dec 20 18:23:59 2014  5 relations: 36675
Sat Dec 20 18:23:59 2014  6 relations: 32990
Sat Dec 20 18:23:59 2014  7 relations: 28578
Sat Dec 20 18:23:59 2014  8 relations: 25291
Sat Dec 20 18:23:59 2014  9 relations: 22005
Sat Dec 20 18:23:59 2014  10+ relations: 100484
Sat Dec 20 18:23:59 2014  heaviest cycle: 25 relations
Sat Dec 20 18:23:59 2014  RelProcTime: 153
Sat Dec 20 18:23:59 2014  
Sat Dec 20 18:23:59 2014  commencing linear algebra
Sat Dec 20 18:24:00 2014  read 426518 cycles
Sat Dec 20 18:24:01 2014  cycles contain 1504195 unique relations
Sat Dec 20 18:24:15 2014  read 1504195 relations
Sat Dec 20 18:24:17 2014  using 20 quadratic characters above 67108440
Sat Dec 20 18:24:24 2014  building initial matrix
Sat Dec 20 18:24:42 2014  memory use: 185.0 MB
Sat Dec 20 18:24:42 2014  read 426518 cycles
Sat Dec 20 18:24:42 2014  matrix is 426338 x 426518 (128.1 MB) with weight 40768057 (95.58/col)
Sat Dec 20 18:24:42 2014  sparse part has weight 28887144 (67.73/col)
Sat Dec 20 18:24:47 2014  filtering completed in 2 passes
Sat Dec 20 18:24:47 2014  matrix is 425773 x 425953 (128.0 MB) with weight 40743468 (95.65/col)
Sat Dec 20 18:24:47 2014  sparse part has weight 28879447 (67.80/col)
Sat Dec 20 18:24:48 2014  matrix starts at (0, 0)
Sat Dec 20 18:24:48 2014  matrix is 425773 x 425953 (128.0 MB) with weight 40743468 (95.65/col)
Sat Dec 20 18:24:48 2014  sparse part has weight 28879447 (67.80/col)
Sat Dec 20 18:24:48 2014  saving the first 48 matrix rows for later
Sat Dec 20 18:24:48 2014  matrix includes 64 packed rows
Sat Dec 20 18:24:48 2014  matrix is 425725 x 425953 (123.7 MB) with weight 32463869 (76.21/col)
Sat Dec 20 18:24:48 2014  sparse part has weight 28170434 (66.14/col)
Sat Dec 20 18:24:48 2014  using block size 65536 for processor cache size 8192 kB
Sat Dec 20 18:24:50 2014  commencing Lanczos iteration (8 threads)
Sat Dec 20 18:24:50 2014  memory use: 117.8 MB
Sat Dec 20 18:25:16 2014  linear algebra at 2.8%, ETA 0h14m
Sat Dec 20 18:38:45 2014  lanczos halted after 6735 iterations (dim = 425723)
Sat Dec 20 18:38:46 2014  recovered 32 nontrivial dependencies
Sat Dec 20 18:38:46 2014  BLanczosTime: 887
Sat Dec 20 18:38:46 2014  
Sat Dec 20 18:38:46 2014  commencing square root phase
Sat Dec 20 18:38:46 2014  reading relations for dependency 1
Sat Dec 20 18:38:46 2014  read 212011 cycles
Sat Dec 20 18:38:47 2014  cycles contain 748760 unique relations
Sat Dec 20 18:38:57 2014  read 748760 relations
Sat Dec 20 18:39:01 2014  multiplying 748760 relations
Sat Dec 20 18:39:26 2014  multiply complete, coefficients have about 28.82 million bits
Sat Dec 20 18:39:26 2014  initial square root is modulo 189534463
Sat Dec 20 18:40:08 2014  GCD is N, no factor found
Sat Dec 20 18:40:08 2014  reading relations for dependency 2
Sat Dec 20 18:40:08 2014  read 213659 cycles
Sat Dec 20 18:40:08 2014  cycles contain 752686 unique relations
Sat Dec 20 18:40:18 2014  read 752686 relations
Sat Dec 20 18:40:21 2014  multiplying 752686 relations
Sat Dec 20 18:40:50 2014  multiply complete, coefficients have about 28.98 million bits
Sat Dec 20 18:40:50 2014  initial square root is modulo 209895601
Sat Dec 20 18:41:28 2014  sqrtTime: 162
--
n: 41713949126666519354040098051009544434810121140276686738532542006791460263354115969817628011840770928099219
skew: 48720090.05
c0: -4681779563047821895923694018125
c1: 58275765323084508832400
c2: -109060224363171749
c3: -114217450
c4: 24
Y0: -204182032694218069325123528
Y1: 2637709927655
rlim: 2780000
alim: 2780000
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
3025e40--
351e6118 / 904Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)

106×10216-13

c213

name 名前Bob Backstrom
date 日付October 20, 2017 12:30:25 UTC 2017 年 10 月 20 日 (金) 21 時 30 分 25 秒 (日本時間)
composite number 合成数
110458433761932897543550321632033779439517234120818601200245509499946333874162834488457614702225945852442121343799790962624409021327856262315854849281551253234295884798105950479191610994573989956619013231044655427<213>
prime factors 素因数
58461971566015481379714025415195951751937539114821279504624849331907024787879951007278989414863139583<101>
1889406580091176238160769522486949733446591338966385403870018487918670745005468563722698473485601059683922177469<112>
factorization results 素因数分解の結果
Number: n
N=110458433761932897543550321632033779439517234120818601200245509499946333874162834488457614702225945852442121343799790962624409021327856262315854849281551253234295884798105950479191610994573989956619013231044655427
  ( 213 digits)
SNFS difficulty: 218 digits.
Divisors found:

Fri Oct 20 22:13:33 2017  p101 factor: 58461971566015481379714025415195951751937539114821279504624849331907024787879951007278989414863139583
Fri Oct 20 22:13:33 2017  p112 factor: 1889406580091176238160769522486949733446591338966385403870018487918670745005468563722698473485601059683922177469
Fri Oct 20 22:13:33 2017  elapsed time 04:57:18 (Msieve 1.53 - dependency 4)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.703).
Factorization parameters were as follows:
#
# 106x10^216-1 353(216)
#
n: 110458433761932897543550321632033779439517234120818601200245509499946333874162834488457614702225945852442121343799790962624409021327856262315854849281551253234295884798105950479191610994573989956619013231044655427
m: 1000000000000000000000000000000000000
deg: 6
c6: 106
c0: -1
skew: 0.46
# Murphy_E = 4.113e-12
type: snfs
lss: 1
rlim: 30000000
alim: 30000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 30000000/30000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 51800000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 12923161 hash collisions in 77330316 relations (66009235 unique)
Msieve: matrix is 3467252 x 3467479 (979.0 MB)

Sieving start time: 2017/10/19 11:14:53
Sieving end time  : 2017/10/20 17:10:47

Total sieving time: 29hrs 55min 54secs.

Total relation processing time: 4hrs 14min 20sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 20min 39sec.

Prototype def-par.txt line would be:
snfs,218,6,0,0,0,0,0,0,0,0,30000000,30000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.178577] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16306368K/16703460K available (9091K kernel code, 1667K rwdata, 3820K rodata, 2232K init, 2364K bss, 397092K reserved, 0K cma-reserved)
[    0.215024] x86/mm: Memory block size: 128MB
[    0.000018] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.38 BogoMIPS (lpj=11976772)
[    0.212835] smpboot: Total of 16 processors activated (95814.17 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:38 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 38 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:55 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 55 秒 (日本時間)
4511e6800 / 3916Dmitry DomanovFebruary 5, 2016 21:35:38 UTC 2016 年 2 月 6 日 (土) 6 時 35 分 38 秒 (日本時間)

106×10217-13

c210

name 名前Cyp
date 日付May 15, 2015 12:20:17 UTC 2015 年 5 月 15 日 (金) 21 時 20 分 17 秒 (日本時間)
composite number 合成数
910989961420890053297923187909883013221645070261660630038955658193585990744120260444845181480127897455889765085622704605558651216899144300511668770292886873585437240370492982552798466495877190742750681574542983<210>
prime factors 素因数
946082491112712079345708057472377267279<39>
962907537110692330287002962888393388673664015084587771660886486332408771887829014893594017745676600169511079792027826174125673427265411382598110629396710799083203638037577<171>
factorization results 素因数分解の結果
Run 259 out of 498:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1723130728
Step 1 took 68807ms
Step 2 took 21515ms
********** Factor found in step 2: 946082491112712079345708057472377267279
Found probable prime factor of 39 digits: 946082491112712079345708057472377267279
Probable prime cofactor 962907537110692330287002962888393388673664015084587771660886486332408771887829014893594017745676600169511079792027826174125673427265411382598110629396710799083203638037577 has 171 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 1425300Serge BatalovDecember 20, 2014 21:23:21 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 21 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:41 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 41 秒 (日本時間)
4511e6259 / 4342CypMay 15, 2015 12:20:17 UTC 2015 年 5 月 15 日 (金) 21 時 20 分 17 秒 (日本時間)

106×10220-13

c221

name 名前Erik Branger
date 日付March 6, 2018 06:59:36 UTC 2018 年 3 月 6 日 (火) 15 時 59 分 36 秒 (日本時間)
composite number 合成数
20784313725490196078431372549019607843137254901960784313725490196078431372549019607843137254901960784313725490196078431372549019607843137254901960784313725490196078431372549019607843137254901960784313725490196078431372549<221>
prime factors 素因数
426314018035031490570558571406474924761010120093<48>
48753531073853375411024470995281916778518802717961921201573191919599088648778396261698605730408411565916608071608207294314006892613775131036142737288549229385131080318432393<173>
factorization results 素因数分解の結果
Number: 35333_220
N = 20784313725490196078431372549019607843137254901960784313725490196078431372549019607843137254901960784313725490196078431372549019607843137254901960784313725490196078431372549019607843137254901960784313725490196078431372549 (221 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=426314018035031490570558571406474924761010120093 (pp48)
r2=48753531073853375411024470995281916778518802717961921201573191919599088648778396261698605730408411565916608071608207294314006892613775131036142737288549229385131080318432393 (pp173)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 68.52 hours.
Factorization parameters were as follows:
n: 20784313725490196078431372549019607843137254901960784313725490196078431372549019607843137254901960784313725490196078431372549019607843137254901960784313725490196078431372549019607843137254901960784313725490196078431372549
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 106
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: 30062037
Relations: 7130682 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 35.56 hours.
Total relation processing time: 0.32 hours.
Pruned matrix : 6690803 x 6691028
Matrix solve time: 32.51 hours.
time per square root: 0.14 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: 68.52 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
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:42 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 42 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:58 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 58 秒 (日本時間)
4511e6800 / 3916Dmitry DomanovFebruary 5, 2016 21:36:03 UTC 2016 年 2 月 6 日 (土) 6 時 36 分 3 秒 (日本時間)

106×10221-13

c220

name 名前Serge Batalov
date 日付December 19, 2014 18:08:32 UTC 2014 年 12 月 20 日 (土) 3 時 8 分 32 秒 (日本時間)
composite number 合成数
3129613227044582226158842633599055211101269560082669028638913492766459994095069382934750516681428993209329790374963094183643342190729258931207558311189843519338647770888692057868320047239444936521995866548568054325361677<220>
prime factors 素因数
3273552348941498398810442648102903<34>
composite cofactor 合成数の残り
956029686849682174923514608792186912577981980421824761077476279111857180338363949893257548400533500624267520277424568485108726413862572395405291449206807889664965287295308861035840856859<186>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=1855894587
Step 1 took 6074ms
Step 2 took 3458ms
********** Factor found in step 2: 3273552348941498398810442648102903
Found probable prime factor of 34 digits: 3273552348941498398810442648102903
Composite cofactor 

c186

name 名前Erik Branger
date 日付January 29, 2020 07:52:46 UTC 2020 年 1 月 29 日 (水) 16 時 52 分 46 秒 (日本時間)
composite number 合成数
956029686849682174923514608792186912577981980421824761077476279111857180338363949893257548400533500624267520277424568485108726413862572395405291449206807889664965287295308861035840856859<186>
prime factors 素因数
304945450022893157436222673309779850077708421596193135590929734804205245316734639507<84>
3135084280739096769303255859101546026690780441132536631263021577353375772531756604861909591449454549337<103>
factorization results 素因数分解の結果
Number: 35333_221
N = 956029686849682174923514608792186912577981980421824761077476279111857180338363949893257548400533500624267520277424568485108726413862572395405291449206807889664965287295308861035840856859 (186 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=304945450022893157436222673309779850077708421596193135590929734804205245316734639507 (pp84)
r2=3135084280739096769303255859101546026690780441132536631263021577353375772531756604861909591449454549337 (pp103)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 61.95 hours.
Factorization parameters were as follows:
n: 956029686849682174923514608792186912577981980421824761077476279111857180338363949893257548400533500624267520277424568485108726413862572395405291449206807889664965287295308861035840856859
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 1060
c0: -1
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 34570424
Relations: 9088474 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 31.66 hours.
Total relation processing time: 0.40 hours.
Pruned matrix : 7798845 x 7799070
Matrix solve time: 29.47 hours.
time per square root: 0.42 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 61.95 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 12, speed: 3.19GHz
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
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:42 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 42 秒 (日本時間)
403e60--
4511e61393 / 4429593CypJuly 25, 2015 07:17:31 UTC 2015 年 7 月 25 日 (土) 16 時 17 分 31 秒 (日本時間)
800Dmitry DomanovFebruary 6, 2016 15:10:56 UTC 2016 年 2 月 7 日 (日) 0 時 10 分 56 秒 (日本時間)

106×10222-13

c223

name 名前Serge Batalov
date 日付December 21, 2014 11:01:40 UTC 2014 年 12 月 21 日 (日) 20 時 1 分 40 秒 (日本時間)
composite number 合成数
5047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619<223>
prime factors 素因数
227673167787386524148676655689430584393605401<45>
22170460826252421438360924693177474439209199388031399421121102424284994788892028702812915966888935178876397164747343363694068261151033639154201721767030612296319895023085397545019<179>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=543214853
Step 1 took 63064ms
Step 2 took 29133ms
********** Factor found in step 2: 227673167787386524148676655689430584393605401
Found probable prime factor of 45 digits: 227673167787386524148676655689430584393605401
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:43 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 43 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:59 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 59 秒 (日本時間)
4511e61000 / 3916Serge BatalovDecember 21, 2014 10:24:32 UTC 2014 年 12 月 21 日 (日) 19 時 24 分 32 秒 (日本時間)

106×10224-13

c199

name 名前Serge Batalov
date 日付December 21, 2014 01:59:15 UTC 2014 年 12 月 21 日 (日) 10 時 59 分 15 秒 (日本時間)
composite number 合成数
7974090248921546672956371995741818631950347173299186545587988204384830353941399315169598178501033786031707309832184697337046009368394801329238602012936512040769832675942564963812550687286796153380681<199>
prime factors 素因数
6709583917339730787621016098529593691<37>
composite cofactor 合成数の残り
1188462704567107853682961169268289656396812040101350430717252868606308161395726790178085938826744020540285522120796359116917564161886688389888764363724173746222891<163>
factorization results 素因数分解の結果
Input number is 7974090248921546672956371995741818631950347173299186545587988204384830353941399315169598178501033786031707309832184697337046009368394801329238602012936512040769832675942564963812550687286796153380681 (199 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2377591940
Step 1 took 16077ms
Step 2 took 10234ms
********** Factor found in step 2: 6709583917339730787621016098529593691
Found probable prime factor of 37 digits: 6709583917339730787621016098529593691
Composite cofactor 1188462704567107853682961169268289656396812040101350430717252868606308161395726790178085938826744020540285522120796359116917564161886688389888764363724173746222891 has 163 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:22 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 22 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:41 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 41 秒 (日本時間)
4511e61298 / 4342498CypJuly 6, 2015 16:15:55 UTC 2015 年 7 月 7 日 (火) 1 時 15 分 55 秒 (日本時間)
800Dmitry DomanovFebruary 5, 2016 21:36:23 UTC 2016 年 2 月 6 日 (土) 6 時 36 分 23 秒 (日本時間)

106×10225-13

c212

composite cofactor 合成数の残り
71305287563250537041413845519071502534001485853676509038246359205040501881408909961833323130918737693745069275420070019352749308359621479967421703879375124390167472984022912901758927232882923297677413882407036643<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:22 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 22 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:42 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 42 秒 (日本時間)
4511e61298 / 4342242CypJanuary 2, 2015 01:52:42 UTC 2015 年 1 月 2 日 (金) 10 時 52 分 42 秒 (日本時間)
256CypJune 8, 2015 05:55:10 UTC 2015 年 6 月 8 日 (月) 14 時 55 分 10 秒 (日本時間)
800Dmitry DomanovFebruary 6, 2016 13:22:58 UTC 2016 年 2 月 6 日 (土) 22 時 22 分 58 秒 (日本時間)

106×10226-13

c140

name 名前Serge Batalov
date 日付December 20, 2014 01:07:41 UTC 2014 年 12 月 20 日 (土) 10 時 7 分 41 秒 (日本時間)
composite number 合成数
99825949016136530647578330249001132900385470004884151349649159554241486678945068268990119506912230379177383720806891895863195902205027224041<140>
prime factors 素因数
3125403350562268122600759430173654318279964151<46>
composite cofactor 合成数の残り
31940181096362357513630489153736125935425459929409198473252774212186663369514301072344548591391<95>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4117044250
Step 1 took 9155ms
Step 2 took 7087ms
********** Factor found in step 2: 3125403350562268122600759430173654318279964151
Found probable prime factor of 46 digits: 3125403350562268122600759430173654318279964151
Composite cofactor

c95

name 名前Dmitry Domanov
date 日付December 21, 2014 00:52:59 UTC 2014 年 12 月 21 日 (日) 9 時 52 分 59 秒 (日本時間)
composite number 合成数
31940181096362357513630489153736125935425459929409198473252774212186663369514301072344548591391<95>
prime factors 素因数
3903466108733841070660270659221412312290843227<46>
8182517846100302264172104235043874229200574478733<49>
factorization results 素因数分解の結果
N=31940181096362357513630489153736125935425459929409198473252774212186663369514301072344548591391
  ( 95 digits)
Divisors found:
 r1=3903466108733841070660270659221412312290843227 (pp46)
 r2=8182517846100302264172104235043874229200574478733 (pp49)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 1.67 hours.
Scaled time: 2.76 units (timescale=1.656).
Factorization parameters were as follows:
n: 31940181096362357513630489153736125935425459929409198473252774212186663369514301072344548591391
skew: 3065019.35
c0: 4816791215877667333365439162
c1: 4705928909230741540013
c2: -1449764334197004
c3: -1151507838
c4: 132
Y0: -124721898689913251229931
Y1: 243992521097
rlim: 1500000
alim: 1500000
lpbr: 25
lpba: 25
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
type: gnfs

Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 50/50
Sieved algebraic special-q in [750000, 930001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 185377 x 185607
Total sieving time: 1.51 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,94,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1500000,1500000,25,25,50,50,2.5,2.5,60000
total time: 1.67 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:01:56 UTC 2014 年 12 月 20 日 (土) 3 時 1 分 56 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:16 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 16 秒 (日本時間)

106×10227-13

c183

composite cofactor 合成数の残り
658429940340156642429225565577990520151069600186407119225991006352094421052131495661400041931661435646778792132696664507369575941936732854570118876853073264946253603873145032936632603<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:23 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 23 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:42 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 42 秒 (日本時間)
4511e61298 / 4342498CypJune 7, 2015 05:59:42 UTC 2015 年 6 月 7 日 (日) 14 時 59 分 42 秒 (日本時間)
800Dmitry DomanovFebruary 6, 2016 13:22:13 UTC 2016 年 2 月 6 日 (土) 22 時 22 分 13 秒 (日本時間)

106×10228-13

c193

composite cofactor 合成数の残り
6633044053017764166497773048444887004923281717861076721527795660851208559304706382889361584390424814717021817293789875484604544936535043725698537984973455713783084841303594266669559065567850961<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:23 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 23 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:42 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 42 秒 (日本時間)
4511e61298 / 4342498CypMay 28, 2015 10:44:46 UTC 2015 年 5 月 28 日 (木) 19 時 44 分 46 秒 (日本時間)
800Dmitry DomanovFebruary 6, 2016 13:21:26 UTC 2016 年 2 月 6 日 (土) 22 時 21 分 26 秒 (日本時間)

106×10231-13

c205

name 名前Serge Batalov
date 日付December 20, 2014 22:00:13 UTC 2014 年 12 月 21 日 (日) 7 時 0 分 13 秒 (日本時間)
composite number 合成数
1559680794436986344109622857980554329468958030528347885003012368377665159346092289099582558397103070392103671535432244635909137522406275862013660338756595305108388900049846985894365364459531941312423388907<205>
prime factors 素因数
123639108862742624041669164287530597<36>
78998684076515532534744172397462559038081<41>
composite cofactor 合成数の残り
159683484572345556273246862592440762700857215409959409570541429810587258340054697472967597050177918998766501068251712627165003151<129>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2867158186
Step 1 took 16194ms
Step 2 took 10664ms
********** Factor found in step 2: 123639108862742624041669164287530597
Found probable prime factor of 36 digits: 123639108862742624041669164287530597

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2293054483
Step 1 took 16056ms
Step 2 took 10537ms
********** Factor found in step 2: 78998684076515532534744172397462559038081
Found probable prime factor of 41 digits: 78998684076515532534744172397462559038081

c129

name 名前Ignacio Santos
date 日付February 2, 2015 23:33:14 UTC 2015 年 2 月 3 日 (火) 8 時 33 分 14 秒 (日本時間)
composite number 合成数
159683484572345556273246862592440762700857215409959409570541429810587258340054697472967597050177918998766501068251712627165003151<129>
prime factors 素因数
204876408154705451957710715836118522201<39>
779413725624113849109094083642399012412623847339242842624544190455023540062831152392390951<90>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1568096221
Step 1 took 7469ms
Step 2 took 5797ms
********** Factor found in step 2: 204876408154705451957710715836118522201
Found probable prime factor of 39 digits: 204876408154705451957710715836118522201
Probable prime cofactor 779413725624113849109094083642399012412623847339242842624544190455023540062831152392390951 has 90 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
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:23:23 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 23 秒 (日本時間)

106×10232-13

c218

name 名前Cyp
date 日付July 25, 2015 07:17:28 UTC 2015 年 7 月 25 日 (土) 16 時 17 分 28 秒 (日本時間)
composite number 合成数
50223372523433426117003938920881010856376339895837538606526654654229952824568972136470600493689264980158527977986951430566311110244227413038917649779932947640623153040257862557120415218788250256809850171189512126565197<218>
prime factors 素因数
476663823550966015230798846533488315793<39>
composite cofactor 合成数の残り
105364347034537277405233033719542110726463650367370747566602252320604799982079423054838862431774979373663241196047262659472657476705528734746349221308265412030557885466181002130429<180>
factorization results 素因数分解の結果
Run 126 out of 256:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2720344791
Step 1 took 80774ms
Step 2 took 23525ms
********** Factor found in step 2: 476663823550966015230798846533488315793
Found probable prime factor of 39 digits: 476663823550966015230798846533488315793
Composite cofactor 105364347034537277405233033719542110726463650367370747566602252320604799982079423054838862431774979373663241196047262659472657476705528734746349221308265412030557885466181002130429 has 180 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:24 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 24 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:43 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 43 秒 (日本時間)
4511e61298 / 4342242CypJanuary 2, 2015 02:24:11 UTC 2015 年 1 月 2 日 (金) 11 時 24 分 11 秒 (日本時間)
256CypJuly 25, 2015 13:02:56 UTC 2015 年 7 月 25 日 (土) 22 時 2 分 56 秒 (日本時間)
800Dmitry DomanovFebruary 6, 2016 13:21:06 UTC 2016 年 2 月 6 日 (土) 22 時 21 分 6 秒 (日本時間)

106×10233-13

c230

name 名前Serge Batalov
date 日付December 19, 2014 18:16:28 UTC 2014 年 12 月 20 日 (土) 3 時 16 分 28 秒 (日本時間)
composite number 合成数
19164673359838438187600456336184530492622504750488608771273239426433870124986214091097286029133919483060055939150354094460143807369720900884286956631790577127866339059231496598270478628677221700919000327245837559505406788271943099<230>
prime factors 素因数
21085527309486433512793470371214761<35>
composite cofactor 合成数の残り
908901782656210919457198021318795884896025554298251727053169781714405288565965279223465215680256466814006890389149742970422948354999701813452499515647453473358807086099418172727540690011396120259<195>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=610596366
Step 1 took 6086ms
Step 2 took 3595ms
********** Factor found in step 2: 21085527309486433512793470371214761
Found probable prime factor of 35 digits: 21085527309486433512793470371214761
Composite cofactor 

c195

name 名前Dmitry Domanov
date 日付February 6, 2016 15:11:48 UTC 2016 年 2 月 7 日 (日) 0 時 11 分 48 秒 (日本時間)
composite number 合成数
908901782656210919457198021318795884896025554298251727053169781714405288565965279223465215680256466814006890389149742970422948354999701813452499515647453473358807086099418172727540690011396120259<195>
prime factors 素因数
272487342267948285572530616226916825313<39>
composite cofactor 合成数の残り
3335574324632112627720783313457045592698250790589770272733895780175880435515249430688952258222377161389979077874451470318581138518005436259276947006312388643<157>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3245274120
Step 1 took 74269ms
Step 2 took 22755ms
********** Factor found in step 2: 272487342267948285572530616226916825313
Found probable prime factor of 39 digits: 272487342267948285572530616226916825313

c157

name 名前Lionel Debroux
date 日付December 24, 2017 19:42:32 UTC 2017 年 12 月 25 日 (月) 4 時 42 分 32 秒 (日本時間)
composite number 合成数
3335574324632112627720783313457045592698250790589770272733895780175880435515249430688952258222377161389979077874451470318581138518005436259276947006312388643<157>
prime factors 素因数
366718210568324289404025397266583860279070283<45>
9095742257966358890004090421818237633239346819124766623861390193633253340865602832468057404741171701074051126921<112>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 3335574324632112627720783313457045592698250790589770272733895780175880435515249430688952258222377161389979077874451470318581138518005436259276947006312388643 (157 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1457396067
Step 1 took 35728ms
Step 2 took 14880ms
********** Factor found in step 2: 366718210568324289404025397266583860279070283
Found prime factor of 45 digits: 366718210568324289404025397266583860279070283
Prime cofactor 9095742257966358890004090421818237633239346819124766623861390193633253340865602832468057404741171701074051126921 has 112 digits
execution environment 実行環境
Core i7-6700HQ @ 2.6 GHz (+ turbo), Debian sid amd64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:48 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 48 秒 (日本時間)
403e60--
4511e64593337CypJanuary 8, 2015 13:44:18 UTC 2015 年 1 月 8 日 (木) 22 時 44 分 18 秒 (日本時間)
256CypFebruary 5, 2015 07:41:25 UTC 2015 年 2 月 5 日 (木) 16 時 41 分 25 秒 (日本時間)
800Dmitry DomanovFebruary 6, 2016 12:53:59 UTC 2016 年 2 月 6 日 (土) 21 時 53 分 59 秒 (日本時間)
3200Lionel DebrouxDecember 17, 2017 20:55:18 UTC 2017 年 12 月 18 日 (月) 5 時 55 分 18 秒 (日本時間)

106×10234-13

c207

composite cofactor 合成数の残り
164302079584285951730451904392343397215527175834441249306919377965007209305639489148239932721652414270643458073512824171650944282927772152810281773063285309530929001963706851217483462557331553961785438881997<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:24 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 24 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:43 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 43 秒 (日本時間)
4511e61298 / 4342498CypJanuary 28, 2015 18:25:04 UTC 2015 年 1 月 29 日 (木) 3 時 25 分 4 秒 (日本時間)
800Dmitry DomanovFebruary 6, 2016 12:53:27 UTC 2016 年 2 月 6 日 (土) 21 時 53 分 27 秒 (日本時間)

106×10235-13

c194

name 名前Serge Batalov
date 日付December 21, 2014 01:59:19 UTC 2014 年 12 月 21 日 (日) 10 時 59 分 19 秒 (日本時間)
composite number 合成数
35506809673762929162542646705579484995012134340144034811653520787730575359126003079037420096419903266663622681626877042932623967908926404677262584502944705614031871552603988724306673056254037529<194>
prime factors 素因数
70292535859061510126068059259088111<35>
505129161152402729169542185886694132624332190532194543398188647404570935972339567677452659107240412198982731335553811590091470788212543062657017586645889189239<159>
factorization results 素因数分解の結果
Input number is 35506809673762929162542646705579484995012134340144034811653520787730575359126003079037420096419903266663622681626877042932623967908926404677262584502944705614031871552603988724306673056254037529 (194 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2535313482
Step 1 took 16386ms
Step 2 took 10365ms
********** Factor found in step 2: 70292535859061510126068059259088111
Found probable prime factor of 35 digits: 70292535859061510126068059259088111
Probable prime cofactor 505129161152402729169542185886694132624332190532194543398188647404570935972339567677452659107240412198982731335553811590091470788212543062657017586645889189239 has 159 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:23:25 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 25 秒 (日本時間)

106×10237-13

c211

composite cofactor 合成数の残り
1802840808128378507816282232203150450206994362643726611102031111098377621995055154608673573273318271214535431447345443419907562483500613108645015686962848572565852796351521317687645957542301265952184546172079621<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:25 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 25 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:43 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 43 秒 (日本時間)
4511e61298 / 4342498CypJune 29, 2015 07:42:30 UTC 2015 年 6 月 29 日 (月) 16 時 42 分 30 秒 (日本時間)
800Dmitry DomanovFebruary 6, 2016 12:52:51 UTC 2016 年 2 月 6 日 (土) 21 時 52 分 51 秒 (日本時間)

106×10238-13

c190

composite cofactor 合成数の残り
1233062338289008866327402754822221097004984787341002174959088969556685640270550696910065132778498911099577188679145374564024413752215151042745544015132958404078326865200760950732756699017991<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:26 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 26 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:44 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 44 秒 (日本時間)
4511e61298 / 4342498CypJuly 25, 2015 07:17:33 UTC 2015 年 7 月 25 日 (土) 16 時 17 分 33 秒 (日本時間)
800Dmitry DomanovFebruary 5, 2016 14:46:05 UTC 2016 年 2 月 5 日 (金) 23 時 46 分 5 秒 (日本時間)

106×10239-13

c223

composite cofactor 合成数の残り
6381899190598288306812664534180292955583453410570671379672059600308339857200959989656621460175688211201791210596279412550598729316551218402578266732193787689055161659894962813115545070907630626635715850585778990639715627939<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:26 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 26 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:44 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 44 秒 (日本時間)
4511e61298 / 4342498CypJuly 25, 2015 07:17:30 UTC 2015 年 7 月 25 日 (土) 16 時 17 分 30 秒 (日本時間)
800Dmitry DomanovFebruary 5, 2016 14:45:50 UTC 2016 年 2 月 5 日 (金) 23 時 45 分 50 秒 (日本時間)

106×10240-13

c228

composite cofactor 合成数の残り
805663343675077113743692715343276904822773490833290314041410223693635835922276943427093934207358968395195886898157532450741296457917118220494663152200311851446762704113213134583230099716836433746459067035814654243006396279792259<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:27 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 27 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:44 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 44 秒 (日本時間)
4511e61298 / 4342498CypJuly 25, 2015 07:17:31 UTC 2015 年 7 月 25 日 (土) 16 時 17 分 31 秒 (日本時間)
800Dmitry DomanovFebruary 5, 2016 14:45:34 UTC 2016 年 2 月 5 日 (金) 23 時 45 分 34 秒 (日本時間)

106×10243-13

c214

composite cofactor 合成数の残り
1218620437408497935598801473998952209965202014396288671834725246993697847713475774156490764944137678436298082436820603581941793877237398224939305721458156870014942486056381192316162276717120712518372093768495282107<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:27 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 27 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:45 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 45 秒 (日本時間)
4511e61298 / 4342498CypJune 22, 2015 05:26:44 UTC 2015 年 6 月 22 日 (月) 14 時 26 分 44 秒 (日本時間)
800Dmitry DomanovFebruary 5, 2016 14:45:16 UTC 2016 年 2 月 5 日 (金) 23 時 45 分 16 秒 (日本時間)

106×10244-13

c202

name 名前Serge Batalov
date 日付December 21, 2014 01:59:22 UTC 2014 年 12 月 21 日 (日) 10 時 59 分 22 秒 (日本時間)
composite number 合成数
4209838844572880232163349955209408007934962270916755073020897035229739396143008311687193641188606634868673368660760458983284333295586596702128957443736922138321248273496074238386475504751727500558594467<202>
prime factors 素因数
438317072093991952068677900510659<33>
composite cofactor 合成数の残り
9604551391213276078279876042340693483951836568254517239197385623683027314222763142061782261232014858614987937056076760172318338121541112731588358354724503323038187710113<169>
factorization results 素因数分解の結果
Input number is 4209838844572880232163349955209408007934962270916755073020897035229739396143008311687193641188606634868673368660760458983284333295586596702128957443736922138321248273496074238386475504751727500558594467 (202 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1170206919
Step 1 took 14864ms
Step 2 took 2522ms
********** Factor found in step 2: 438317072093991952068677900510659
Found probable prime factor of 33 digits: 438317072093991952068677900510659
Composite cofactor 9604551391213276078279876042340693483951836568254517239197385623683027314222763142061782261232014858614987937056076760172318338121541112731588358354724503323038187710113 has 169 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 20, 2014 21:23:27 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 27 秒 (日本時間)
4511e640002000Serge BatalovDecember 22, 2014 02:45:51 UTC 2014 年 12 月 22 日 (月) 11 時 45 分 51 秒 (日本時間)
2000Serge BatalovDecember 22, 2014 02:52:36 UTC 2014 年 12 月 22 日 (月) 11 時 52 分 36 秒 (日本時間)
5043e62000 / 6644Serge BatalovFebruary 5, 2015 02:55:33 UTC 2015 年 2 月 5 日 (木) 11 時 55 分 33 秒 (日本時間)

106×10246-13

c219

name 名前Serge Batalov
date 日付December 21, 2014 01:59:26 UTC 2014 年 12 月 21 日 (日) 10 時 59 分 26 秒 (日本時間)
composite number 合成数
552700069860600343798904268738016072837231294673199743654791353482888702576837195998272718016995162063267145321893088904062948718398691440418710987821920840280440826085287680949619823518258844095213906390650074995864633<219>
prime factors 素因数
208124979204657764580950914344709199821<39>
composite cofactor 合成数の残り
2655616216624857246565962121441374093678098201901378929465117832352958546832424538830963789756556477039977360302398830078673635433496571799371954222170732975109067675696781010143773<181>
factorization results 素因数分解の結果
Input number is 552700069860600343798904268738016072837231294673199743654791353482888702576837195998272718016995162063267145321893088904062948718398691440418710987821920840280440826085287680949619823518258844095213906390650074995864633 (219 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4287985452
Step 1 took 18050ms
Step 2 took 11251ms
********** Factor found in step 2: 208124979204657764580950914344709199821
Found probable prime factor of 39 digits: 208124979204657764580950914344709199821
Composite cofactor 2655616216624857246565962121441374093678098201901378929465117832352958546832424538830963789756556477039977360302398830078673635433496571799371954222170732975109067675696781010143773 has 181 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:28 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 28 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:45 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 45 秒 (日本時間)
4511e61298 / 4342498CypJuly 24, 2015 22:41:38 UTC 2015 年 7 月 25 日 (土) 7 時 41 分 38 秒 (日本時間)
800Dmitry DomanovFebruary 5, 2016 14:44:50 UTC 2016 年 2 月 5 日 (金) 23 時 44 分 50 秒 (日本時間)

106×10247-13

c194

name 名前Serge Batalov
date 日付December 21, 2014 01:59:30 UTC 2014 年 12 月 21 日 (日) 10 時 59 分 30 秒 (日本時間)
composite number 合成数
15144309116858670471764736553520809743961710939333918895885813378453292478447267004214740442363058569352562218672667352092258749331373351798538925625077225193384221743172143455193086005510533007<194>
prime factors 素因数
1336771278034010969112837561368221785807733<43>
11329020428334905852082447503890517339029321782878478975968510907039005296414417718712755834650375061989819249708434563367040376038951962571767514673779<152>
factorization results 素因数分解の結果
Input number is 15144309116858670471764736553520809743961710939333918895885813378453292478447267004214740442363058569352562218672667352092258749331373351798538925625077225193384221743172143455193086005510533007 (194 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3311978779
Step 1 took 16913ms
Step 2 took 10397ms
********** Factor found in step 2: 1336771278034010969112837561368221785807733
Found probable prime factor of 43 digits: 1336771278034010969112837561368221785807733
Probable prime cofactor 11329020428334905852082447503890517339029321782878478975968510907039005296414417718712755834650375061989819249708434563367040376038951962571767514673779 has 152 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:23:28 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 28 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:46 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 46 秒 (日本時間)

106×10248-13

c211

composite cofactor 合成数の残り
1314647329636330962070246405226304785207385381514566272658884432367308212844607216658031688905048305816054221798026933378138690455666701643696487317388704390956993358399172883752514308172150203307312957968350577<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:29 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 29 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:46 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 46 秒 (日本時間)
4511e61298 / 4342242CypJanuary 8, 2015 16:20:31 UTC 2015 年 1 月 9 日 (金) 1 時 20 分 31 秒 (日本時間)
256CypJuly 24, 2015 16:54:44 UTC 2015 年 7 月 25 日 (土) 1 時 54 分 44 秒 (日本時間)
800Dmitry DomanovFebruary 5, 2016 14:44:34 UTC 2016 年 2 月 5 日 (金) 23 時 44 分 34 秒 (日本時間)

106×10249-13

c182

name 名前Serge Batalov
date 日付December 21, 2014 01:59:33 UTC 2014 年 12 月 21 日 (日) 10 時 59 分 33 秒 (日本時間)
composite number 合成数
10805023282670909247763287972152716632038474223510130952637739138138127474170667714651055124343661481612652465337482077670621261059042672070342820078385806511711578194077215409041107<182>
prime factors 素因数
21744504238768313073574260704474970077<38>
composite cofactor 合成数の残り
496908237779301268993627144735497549573067695737467654986241135048390498038742421798986074168994352525425738176147288813435673849178734281633391<144>
factorization results 素因数分解の結果
Input number is 10805023282670909247763287972152716632038474223510130952637739138138127474170667714651055124343661481612652465337482077670621261059042672070342820078385806511711578194077215409041107 (182 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3355277834
Step 1 took 13651ms
Step 2 took 9196ms
********** Factor found in step 2: 21744504238768313073574260704474970077
Found probable prime factor of 38 digits: 21744504238768313073574260704474970077
Composite cofactor 496908237779301268993627144735497549573067695737467654986241135048390498038742421798986074168994352525425738176147288813435673849178734281633391 has 144 digits

c144

name 名前Cyp
date 日付January 6, 2015 07:00:48 UTC 2015 年 1 月 6 日 (火) 16 時 0 分 48 秒 (日本時間)
composite number 合成数
496908237779301268993627144735497549573067695737467654986241135048390498038742421798986074168994352525425738176147288813435673849178734281633391<144>
prime factors 素因数
727930292881788810097610071701745469<36>
682631623712349014025254225327737833036643227489119582723881388989342346812912659183219923291054323719302939<108>
factorization results 素因数分解の結果
Run 13 out of 1000:
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3246105690
Step 1 took 165161ms
Step 2 took 45465ms
********** Factor found in step 2: 727930292881788810097610071701745469
Found probable prime factor of 36 digits: 727930292881788810097610071701745469
Probable prime cofactor 682631623712349014025254225327737833036643227489119582723881388989342346812912659183219923291054323719302939 has 108 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 1191Serge BatalovDecember 20, 2014 21:23:29 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 29 秒 (日本時間)
4511e60 / 3995--
5043e6118 / 7541CypJanuary 6, 2015 06:59:19 UTC 2015 年 1 月 6 日 (火) 15 時 59 分 19 秒 (日本時間)

106×10250-13

c229

composite cofactor 合成数の残り
1222600177408625173266565854038664375238123909910646691673333915336499858503610760501912912912712142686690747687052059352092515606975557876527457645295024131126278168773734362867521613069581294430869074110807607821070162055209149<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:30 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 30 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:46 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 46 秒 (日本時間)
4511e61400 / 4342600Dmitry DomanovApril 27, 2015 14:07:15 UTC 2015 年 4 月 27 日 (月) 23 時 7 分 15 秒 (日本時間)
800Dmitry DomanovFebruary 5, 2016 14:44:17 UTC 2016 年 2 月 5 日 (金) 23 時 44 分 17 秒 (日本時間)

106×10252-13

c128

name 名前Serge Batalov
date 日付April 3, 2017 01:19:04 UTC 2017 年 4 月 3 日 (月) 10 時 19 分 4 秒 (日本時間)
composite number 合成数
76847729177921103668116367179982257162276685545950908474794461037146392916542604679979192532920619043452415512888648876577661917<128>
prime factors 素因数
52852298177943958637229803633721297461<38>
1454009226224921119959599318607732477198951656548719838934627432798184831726337006924556297<91>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1931736033
Step 1 took 10659ms
Step 2 took 5538ms
********** Factor found in step 2: 52852298177943958637229803633721297461
Found prime factor of 38 digits: 52852298177943958637229803633721297461
Prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)

106×10253-13

c243

composite cofactor 合成数の残り
494778192115472718906366487614206630952987068185782456283715506674682486173316550410547626439853593804875009608675984702399687182952638812677670475982180735651651819253016614085234155349156140716685373918516984627259258359086993020455040152369<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)

106×10254-13

c230

composite cofactor 合成数の残り
22000054399206715194448444954871174192564897835554241431076977940173608450364679178044829145053254421505480365668613932523399158627234114109356133038808943059619109017394663588755417005394487645105533721444110271554596446814583117<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)

106×10257-13

c255

composite cofactor 合成数の残り
435193168288377057929958533481134786714291579422753212628813072217432360307098575358213244652461304758385679681405756045490002873917149074188118405386541856550478301925524489879706039331608983043888820462290101408219403046352178018639405509709734367943507<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)

106×10259-13

c261

composite cofactor 合成数の残り
353333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<261>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovApril 4, 2017 10:58:45 UTC 2017 年 4 月 4 日 (火) 19 時 58 分 45 秒 (日本時間)
4511e62000Dmitry DomanovApril 6, 2017 14:38:29 UTC 2017 年 4 月 6 日 (木) 23 時 38 分 29 秒 (日本時間)
5043e660002400Dmitry DomanovApril 8, 2017 09:38:26 UTC 2017 年 4 月 8 日 (土) 18 時 38 分 26 秒 (日本時間)
3600Dmitry DomanovApril 21, 2017 20:41:53 UTC 2017 年 4 月 22 日 (土) 5 時 41 分 53 秒 (日本時間)
5511e7440 / 15493Dmitry DomanovApril 22, 2017 18:32:21 UTC 2017 年 4 月 23 日 (日) 3 時 32 分 21 秒 (日本時間)

106×10260-13

c262

name 名前Dmitry Domanov
date 日付April 9, 2017 09:09:19 UTC 2017 年 4 月 9 日 (日) 18 時 9 分 19 秒 (日本時間)
composite number 合成数
3533333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<262>
prime factors 素因数
5540453780887589967394762490107113968399966051897<49>
composite cofactor 合成数の残り
637733563543469795078994285064565325394975266234792273204919952258368377058568964375561410056677168300079391905559622991273118602712622340394688100577970854982160282213654912656606479606606189705929195869626478589<213>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1121062617
Step 1 took 470958ms
Step 2 took 115035ms
********** Factor found in step 2: 5540453780887589967394762490107113968399966051897
Found probable prime factor of 49 digits: 5540453780887589967394762490107113968399966051897

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e61000Serge BatalovApril 3, 2017 02:44:42 UTC 2017 年 4 月 3 日 (月) 11 時 44 分 42 秒 (日本時間)
4511e62000Dmitry DomanovApril 3, 2017 14:54:45 UTC 2017 年 4 月 3 日 (月) 23 時 54 分 45 秒 (日本時間)
5043e63000 / 7061Dmitry DomanovApril 7, 2017 20:46:18 UTC 2017 年 4 月 8 日 (土) 5 時 46 分 18 秒 (日本時間)

106×10263-13

c253

composite cofactor 合成数の残り
6405620530231553265040553090165058586147215106243146608892380128381491276609049188250503268336133993432752082666572907976051253352138460297246781861027697591973776889726222478807282638289671768796988717150109866022490710473930716742950881552104443545409<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)

106×10265-13

c210

composite cofactor 合成数の残り
800426199420286261832343007546229141997845957378674790652792708911603751155551110542540480162258221018948708081894245226393091602364261713784733270453967855063107207462807374321971961989555639793534061156176113<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e61000 / 2104Dmitry DomanovApril 6, 2017 07:40:55 UTC 2017 年 4 月 6 日 (木) 16 時 40 分 55 秒 (日本時間)

106×10269-13

c264

composite cofactor 合成数の残り
519681744938336574235385139818167279572452925781259383993772839951406815253482860479326006114889181054619580951193108392521897354128643489939427170501059979166645217538043032492022517515848699856778652689777109970393338778225276055188044142944052975376547419807101<264>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)

106×10270-13

c227

composite cofactor 合成数の残り
11115032068747949445101348343713067390004146327029774466218044618801222678794239023767383487179565647150936658297320805612854273479971512145794544872787004738661305915326809257290130021302522180989656390772506078230684819923627<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)

106×10272-13

c257

composite cofactor 合成数の残り
11484135234971972398857609937769676924996004344437019003745406992538409378102506775863128533646611102040805782818359869420081899878880621648132771335633698005821547318939333763016494717441727592798017916748077624759551025112260959912949322984082362862304301<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)

106×10274-13

c259

composite cofactor 合成数の残り
3468435560265790400602805682301678560189581030630101092603240248173917396920354902400740087653768223845238399278981672833265450815503323585914515512601312587765247485763669184592350441003847920250043003975276365766199005532307895765778509157371140134207908849<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)

106×10275-13

c230

composite cofactor 合成数の残り
11378227773824371906103094938503006853878155084593399021728551613466714354900763373911262414806560865085458091023706420656246518913598506515945361963867425903384066764454677304477739821972670013824606613424388604330299391336730173<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)

106×10277-13

c272

composite cofactor 合成数の残り
12584345835964025534207558340938255346420744330102207563754581369685661917536372588193796503980873788829429437750542008368756189257306693792817717305801254025313744065724096789148086443961023526636364749096102648277043376328700643854310648352264522759519573839913563114703<272>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)

106×10280-13

c259

composite cofactor 合成数の残り
1731652878583046772252480853914153103440112448270357860467364968848346984470731843038910472351093544973344947249104054352231678405902232157078205295847152952951947554523788732552605230148916040403684619700000760814459367296255975847828752975228449107657640949<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)

106×10281-13

c229

composite cofactor 合成数の残り
1999718982819743873162269344061286346411705683541006948112529374262548397750344284644722003264557732432762487407516392278674923442758910206587745029866071449433547565312602699432234161280031817781855948792902577808079364089162839<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)

106×10285-13

c259

composite cofactor 合成数の残り
3610807212851288283145331986394321694607038383901431180714494268194135359792513220517327762707035539197567386436563635342583521393421066667304847871017984326512460881853167478525067977320034685468417863029336225488860157336521665008608097724681160387357443501<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)

106×10288-13

c267

composite cofactor 合成数の残り
102529663705368476074695515165622118383923216717011665151634532809919783564330050537439889503861696387800069656008605798961320615902454407341798131440976769215160958897980030849978878267761207876906156141788820596642841985839210921443950218173584443257741941844910559<267>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)

106×10289-13

c235

composite cofactor 合成数の残り
1258065276361407581982179946810692625773803826235810869399693365186195385400378591114508743032752603066212422725248762141990206883929113614569212287447610188191578690976851951718476736119342128719641247402692598167553842896439402794343<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)

106×10290-13

c252

composite cofactor 合成数の残り
823409714617429700357635765306909177107866031032962525082646388925816643996962657172939884809538126018500725154088453333546563873970451372281665845862936949822544082588251470524766160562151131246510935828052348586991065396796841818531589453841380983151<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)

106×10291-13

c257

composite cofactor 合成数の残り
10742356922621829022247180985297041948471513768293600074788402876739821729593662651543538190875263540500337093763202708666796602646383938180173486034545474190070775749898278651904332381244953753474580036144688184329057651932030925677990486629238764639194129<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)

106×10293-13

c271

composite cofactor 合成数の残り
3839817946946531292257282159593457737011696169445353289360241981036035760955281763154601218031890458722102143391556279781762979714774755331137973472259919325149901051335484628186259397394360087573705182766463645650511989161768069396766049170552762172634523979401901978397<271>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)

106×10294-13

c190

composite cofactor 合成数の残り
2803449180324637751696097116917035415510283366000770209964656143125021698552328456230457085999381765506227676072887672270352769749338084027093323803706408761157245199388770494277027275902323<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovApril 3, 2017 23:38:11 UTC 2017 年 4 月 4 日 (火) 8 時 38 分 11 秒 (日本時間)
4511e62000Dmitry DomanovApril 5, 2017 01:03:02 UTC 2017 年 4 月 5 日 (水) 10 時 3 分 2 秒 (日本時間)
5043e6620 / 7054Dmitry DomanovApril 7, 2017 21:01:25 UTC 2017 年 4 月 8 日 (土) 6 時 1 分 25 秒 (日本時間)

106×10295-13

c269

composite cofactor 合成数の残り
19620833642756986965455267415781088624432365629466548481015189359037992520595761395394421110465836116891819573667783297247887020245458751084438873038803354664501405350655118188268144056623235228303619895054513600504964246551913561358432226537129176866671852537659135093<269>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)

106×10296-13

c266

composite cofactor 合成数の残り
20294413142336631066222857555007028512169610393296117236147001997712649982692014104203616906924211244925528385990501999707388419901013347043565598044116270961542937912707645650606728649785575305070513027888326840410216985121508406484509455771681438063179200644030561<266>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)

106×10299-13

c246

composite cofactor 合成数の残り
151989473151326900747926268615378024839350109511879474542274167536075539852672251292692027273627286453821601952454355064053037920330181869349263727086840862919586060090022103310115946118974027152885041892740006957111400738883473700653675237590243<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)