Table of contents 目次

13×10101+113

c99

name 名前Serge Batalov
date 日付January 12, 2009 20:11:50 UTC 2009 年 1 月 13 日 (火) 5 時 11 分 50 秒 (日本時間)
composite number 合成数
231605202209157313379654373775164796009264208088366292535186174951006591840370568323534651701407447<99>
prime factors 素因数
287901958827662472078564273285171611759<39>
804458584277280715235351680045826648501228131747829929796633<60>
factorization results 素因数分解の結果
SNFS difficulty: 103 digits.
Divisors found:
 r1=287901958827662472078564273285171611759 (pp39)
 r2=804458584277280715235351680045826648501228131747829929796633 (pp60)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.298).
Factorization parameters were as follows:
n: 231605202209157313379654373775164796009264208088366292535186174951006591840370568323534651701407447
m: 20000000000000000000000000
deg: 4
c4: 65
c0: 88
skew: 1.08
type: snfs
lss: 1
rlim: 360000
alim: 360000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 360000/360000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [180000, 220001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 35265 x 35500
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,103,4,0,0,0,0,0,0,0,0,360000,360000,25,25,46,46,2.3,2.3,20000
total time: 0.50 hours.
software ソフトウェア
Msieve-1.39
execution environment 実行環境
Opteron-2.2GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 25, 2008 03:47:48 UTC 2008 年 12 月 25 日 (木) 12 時 47 分 48 秒 (日本時間)

13×10109+113

c88

name 名前Erik Branger
date 日付January 12, 2009 21:30:37 UTC 2009 年 1 月 13 日 (火) 6 時 30 分 37 秒 (日本時間)
composite number 合成数
1457601488564167582376904387965802781013594372918615550739594838256848206561153609271429<88>
prime factors 素因数
256520167070456431216017369001734033877<39>
5682210117085333630347759668811604515091349537777<49>
factorization results 素因数分解の結果
Mon Jan 12 21:26:42 2009  
Mon Jan 12 21:26:42 2009  
Mon Jan 12 21:26:42 2009  Msieve v. 1.38
Mon Jan 12 21:26:42 2009  random seeds: 69bc3878 fadd585e
Mon Jan 12 21:26:42 2009  factoring 1457601488564167582376904387965802781013594372918615550739594838256848206561153609271429 (88 digits)
Mon Jan 12 21:26:43 2009  searching for 15-digit factors
Mon Jan 12 21:26:45 2009  commencing quadratic sieve (88-digit input)
Mon Jan 12 21:26:45 2009  using multiplier of 5
Mon Jan 12 21:26:45 2009  using 64kb Pentium 4 sieve core
Mon Jan 12 21:26:45 2009  sieve interval: 12 blocks of size 65536
Mon Jan 12 21:26:45 2009  processing polynomials in batches of 9
Mon Jan 12 21:26:45 2009  using a sieve bound of 1508323 (57218 primes)
Mon Jan 12 21:26:45 2009  using large prime bound of 120665840 (26 bits)
Mon Jan 12 21:26:45 2009  using double large prime bound of 352250616108160 (42-49 bits)
Mon Jan 12 21:26:45 2009  using trial factoring cutoff of 49 bits
Mon Jan 12 21:26:45 2009  polynomial 'A' values have 11 factors
Mon Jan 12 22:23:31 2009  57690 relations (16809 full + 40881 combined from 591692 partial), need 57314
Mon Jan 12 22:23:33 2009  begin with 608501 relations
Mon Jan 12 22:23:34 2009  reduce to 134916 relations in 10 passes
Mon Jan 12 22:23:34 2009  attempting to read 134916 relations
Mon Jan 12 22:23:36 2009  recovered 134916 relations
Mon Jan 12 22:23:36 2009  recovered 105504 polynomials
Mon Jan 12 22:23:36 2009  attempting to build 57690 cycles
Mon Jan 12 22:23:36 2009  found 57690 cycles in 7 passes
Mon Jan 12 22:23:36 2009  distribution of cycle lengths:
Mon Jan 12 22:23:36 2009     length 1 : 16809
Mon Jan 12 22:23:36 2009     length 2 : 11829
Mon Jan 12 22:23:36 2009     length 3 : 10374
Mon Jan 12 22:23:36 2009     length 4 : 7297
Mon Jan 12 22:23:36 2009     length 5 : 4893
Mon Jan 12 22:23:36 2009     length 6 : 2942
Mon Jan 12 22:23:36 2009     length 7 : 1710
Mon Jan 12 22:23:36 2009     length 9+: 1836
Mon Jan 12 22:23:36 2009  largest cycle: 19 relations
Mon Jan 12 22:23:36 2009  matrix is 57218 x 57690 (13.2 MB) with weight 3227221 (55.94/col)
Mon Jan 12 22:23:36 2009  sparse part has weight 3227221 (55.94/col)
Mon Jan 12 22:23:37 2009  filtering completed in 3 passes
Mon Jan 12 22:23:37 2009  matrix is 51828 x 51892 (11.9 MB) with weight 2919739 (56.27/col)
Mon Jan 12 22:23:37 2009  sparse part has weight 2919739 (56.27/col)
Mon Jan 12 22:23:38 2009  saving the first 48 matrix rows for later
Mon Jan 12 22:23:38 2009  matrix is 51780 x 51892 (7.8 MB) with weight 2281073 (43.96/col)
Mon Jan 12 22:23:38 2009  sparse part has weight 1732802 (33.39/col)
Mon Jan 12 22:23:38 2009  matrix includes 64 packed rows
Mon Jan 12 22:23:38 2009  using block size 20756 for processor cache size 512 kB
Mon Jan 12 22:23:38 2009  commencing Lanczos iteration
Mon Jan 12 22:23:38 2009  memory use: 7.6 MB
Mon Jan 12 22:24:04 2009  lanczos halted after 821 iterations (dim = 51779)
Mon Jan 12 22:24:05 2009  recovered 17 nontrivial dependencies
Mon Jan 12 22:24:05 2009  prp39 factor: 256520167070456431216017369001734033877
Mon Jan 12 22:24:05 2009  prp49 factor: 5682210117085333630347759668811604515091349537777
Mon Jan 12 22:24:05 2009  elapsed time 00:57:23
software ソフトウェア
Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 25, 2008 03:47:48 UTC 2008 年 12 月 25 日 (木) 12 時 47 分 48 秒 (日本時間)

13×10116+113

c114

name 名前Serge Batalov
date 日付January 12, 2009 20:33:17 UTC 2009 年 1 月 13 日 (火) 5 時 33 分 17 秒 (日本時間)
composite number 合成数
193193639470946648833407638579283697429038490117402288601575271214147718828949323822261851686729083073264972507059<114>
prime factors 素因数
24723085706747411858193701032591750746561027082019126789<56>
7814301247122253025846086919338828487274309830393265849431<58>
factorization results 素因数分解の結果
SNFS difficulty: 117 digits.
Divisors found:
 r1=24723085706747411858193701032591750746561027082019126789 (pp56)
 r2=7814301247122253025846086919338828487274309830393265849431 (pp58)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.297).
Factorization parameters were as follows:
n: 193193639470946648833407638579283697429038490117402288601575271214147718828949323822261851686729083073264972507059
m: 100000000000000000000000
deg: 5
c5: 130
c0: 11
skew: 0.61
type: snfs
lss: 1
rlim: 630000
alim: 630000
lpbr: 25
lpba: 25
mfbr: 48
mfba: 48
rlambda: 2.2
alambda: 2.2
Factor base limits: 630000/630000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 48/48
Sieved rational special-q in [315000, 515001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 65631 x 65861
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,117,5,0,0,0,0,0,0,0,0,630000,630000,25,25,48,48,2.2,2.2,50000
total time: 0.90 hours.
software ソフトウェア
Msieve-1.39
execution environment 実行環境
Opteron-2.2GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 25, 2008 03:47:48 UTC 2008 年 12 月 25 日 (木) 12 時 47 分 48 秒 (日本時間)

13×10118+113

c90

name 名前Erik Branger
date 日付January 12, 2009 21:37:47 UTC 2009 年 1 月 13 日 (火) 6 時 37 分 47 秒 (日本時間)
composite number 合成数
129226615256546289517576317486989013308626224249216040685175451358625604564801902350032507<90>
prime factors 素因数
168029835493934377112414378163671931047062153<45>
769069462436099182225717832905662638971957219<45>
factorization results 素因数分解の結果
Total time: 1h10min

Mon Jan 12 21:24:41 2009  
Mon Jan 12 21:24:41 2009  Msieve v. 1.39
Mon Jan 12 21:24:41 2009  random seeds: f2f3bb18 d32cd53b
Mon Jan 12 21:24:41 2009  factoring 129226615256546289517576317486989013308626224249216040685175451358625604564801902350032507 (90 digits)
Mon Jan 12 21:24:43 2009  searching for 15-digit factors
Mon Jan 12 21:24:45 2009  commencing quadratic sieve (90-digit input)
Mon Jan 12 21:24:45 2009  using multiplier of 3
Mon Jan 12 21:24:45 2009  using 32kb Intel Core sieve core
Mon Jan 12 21:24:45 2009  sieve interval: 35 blocks of size 32768
Mon Jan 12 21:24:45 2009  processing polynomials in batches of 6
Mon Jan 12 21:24:45 2009  using a sieve bound of 1575269 (59667 primes)
Mon Jan 12 21:24:45 2009  using large prime bound of 126021520 (26 bits)
Mon Jan 12 21:24:45 2009  using double large prime bound of 380890718607520 (42-49 bits)
Mon Jan 12 21:24:45 2009  using trial factoring cutoff of 49 bits
Mon Jan 12 21:24:45 2009  polynomial 'A' values have 11 factors
Mon Jan 12 22:26:09 2009  59944 relations (16389 full + 43555 combined from 627938 partial), need 59763


Mon Jan 12 22:32:22 2009  
Mon Jan 12 22:32:22 2009  Msieve v. 1.39
Mon Jan 12 22:32:22 2009  random seeds: 22ab1b00 118d0d91
Mon Jan 12 22:32:22 2009  factoring 129226615256546289517576317486989013308626224249216040685175451358625604564801902350032507 (90 digits)
Mon Jan 12 22:32:23 2009  searching for 15-digit factors
Mon Jan 12 22:32:24 2009  commencing quadratic sieve (90-digit input)
Mon Jan 12 22:32:25 2009  using multiplier of 3
Mon Jan 12 22:32:25 2009  using 32kb Intel Core sieve core
Mon Jan 12 22:32:25 2009  sieve interval: 35 blocks of size 32768
Mon Jan 12 22:32:25 2009  processing polynomials in batches of 6
Mon Jan 12 22:32:25 2009  using a sieve bound of 1575269 (59667 primes)
Mon Jan 12 22:32:25 2009  using large prime bound of 126021520 (26 bits)
Mon Jan 12 22:32:25 2009  using double large prime bound of 380890718607520 (42-49 bits)
Mon Jan 12 22:32:25 2009  using trial factoring cutoff of 49 bits
Mon Jan 12 22:32:25 2009  polynomial 'A' values have 11 factors
Mon Jan 12 22:32:25 2009  restarting with 17385 full and 660657 partial relations
Mon Jan 12 22:32:25 2009  67663 relations (17385 full + 50278 combined from 660657 partial), need 59763
Mon Jan 12 22:32:26 2009  begin with 678042 relations
Mon Jan 12 22:32:26 2009  reduce to 163919 relations in 11 passes
Mon Jan 12 22:32:26 2009  attempting to read 163919 relations


Mon Jan 12 22:32:33 2009  recovered 162520 relations
Mon Jan 12 22:32:33 2009  recovered 132645 polynomials
Mon Jan 12 22:32:33 2009  attempting to build 66275 cycles
Mon Jan 12 22:32:33 2009  found 66275 cycles in 5 passes
Mon Jan 12 22:32:33 2009  distribution of cycle lengths:
Mon Jan 12 22:32:33 2009     length 1 : 17235
Mon Jan 12 22:32:33 2009     length 2 : 12652
Mon Jan 12 22:32:33 2009     length 3 : 11758
Mon Jan 12 22:32:33 2009     length 4 : 9057
Mon Jan 12 22:32:33 2009     length 5 : 6448
Mon Jan 12 22:32:33 2009     length 6 : 4039
Mon Jan 12 22:32:33 2009     length 7 : 2302
Mon Jan 12 22:32:33 2009     length 9+: 2784
Mon Jan 12 22:32:33 2009  largest cycle: 19 relations
Mon Jan 12 22:32:34 2009  matrix is 59667 x 66275 (16.6 MB) with weight 4087103 (61.67/col)
Mon Jan 12 22:32:34 2009  sparse part has weight 4087103 (61.67/col)
Mon Jan 12 22:32:34 2009  filtering completed in 4 passes
Mon Jan 12 22:32:34 2009  matrix is 54146 x 54210 (12.4 MB) with weight 3023133 (55.77/col)
Mon Jan 12 22:32:34 2009  sparse part has weight 3023133 (55.77/col)
Mon Jan 12 22:32:34 2009  saving the first 48 matrix rows for later
Mon Jan 12 22:32:34 2009  matrix is 54098 x 54210 (9.3 MB) with weight 2525714 (46.59/col)
Mon Jan 12 22:32:34 2009  sparse part has weight 2115653 (39.03/col)
Mon Jan 12 22:32:34 2009  matrix includes 64 packed rows
Mon Jan 12 22:32:35 2009  using block size 21684 for processor cache size 2048 kB
Mon Jan 12 22:32:35 2009  commencing Lanczos iteration
Mon Jan 12 22:32:35 2009  memory use: 8.5 MB
Mon Jan 12 22:32:51 2009  lanczos halted after 857 iterations (dim = 54096)
Mon Jan 12 22:32:51 2009  recovered 17 nontrivial dependencies
Mon Jan 12 22:32:52 2009  prp45 factor: 168029835493934377112414378163671931047062153
Mon Jan 12 22:32:52 2009  prp45 factor: 769069462436099182225717832905662638971957219
Mon Jan 12 22:32:52 2009  elapsed time 00:00:30
software ソフトウェア
Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 25, 2008 03:47:48 UTC 2008 年 12 月 25 日 (木) 12 時 47 分 48 秒 (日本時間)

13×10119+113

c95

name 名前Sinkiti Sibata
date 日付January 13, 2009 05:34:31 UTC 2009 年 1 月 13 日 (火) 14 時 34 分 31 秒 (日本時間)
composite number 合成数
46667327734201090114002656028416818839645552235174196745415465210051218566528013255728674495669<95>
prime factors 素因数
1878925753271548350891453683398909<34>
24837238859994793450933098574132030571190107627519248166255641<62>
factorization results 素因数分解の結果
ue Jan 13 08:53:45 2009  Msieve v. 1.39
Tue Jan 13 08:53:45 2009  random seeds: 4b861124 0f720d93
Tue Jan 13 08:53:45 2009  factoring 46667327734201090114002656028416818839645552235174196745415465210051218566528013255728674495669 (95 digits)
Tue Jan 13 08:53:46 2009  searching for 15-digit factors
Tue Jan 13 08:53:48 2009  commencing quadratic sieve (95-digit input)
Tue Jan 13 08:53:48 2009  using multiplier of 1
Tue Jan 13 08:53:48 2009  using 32kb Intel Core sieve core
Tue Jan 13 08:53:48 2009  sieve interval: 36 blocks of size 32768
Tue Jan 13 08:53:48 2009  processing polynomials in batches of 6
Tue Jan 13 08:53:48 2009  using a sieve bound of 2154241 (80000 primes)
Tue Jan 13 08:53:48 2009  using large prime bound of 323136150 (28 bits)
Tue Jan 13 08:53:48 2009  using double large prime bound of 2074406767356900 (43-51 bits)
Tue Jan 13 08:53:48 2009  using trial factoring cutoff of 51 bits
Tue Jan 13 08:53:48 2009  polynomial 'A' values have 12 factors
Tue Jan 13 12:43:20 2009  80203 relations (19438 full + 60765 combined from 1206755 partial), need 80096
Tue Jan 13 12:43:22 2009  begin with 1226193 relations
Tue Jan 13 12:43:23 2009  reduce to 210402 relations in 12 passes
Tue Jan 13 12:43:23 2009  attempting to read 210402 relations
Tue Jan 13 12:43:26 2009  recovered 210402 relations
Tue Jan 13 12:43:26 2009  recovered 194756 polynomials
Tue Jan 13 12:43:26 2009  attempting to build 80203 cycles
Tue Jan 13 12:43:26 2009  found 80203 cycles in 6 passes
Tue Jan 13 12:43:26 2009  distribution of cycle lengths:
Tue Jan 13 12:43:26 2009     length 1 : 19438
Tue Jan 13 12:43:26 2009     length 2 : 13891
Tue Jan 13 12:43:26 2009     length 3 : 13446
Tue Jan 13 12:43:26 2009     length 4 : 11032
Tue Jan 13 12:43:26 2009     length 5 : 8138
Tue Jan 13 12:43:26 2009     length 6 : 5435
Tue Jan 13 12:43:26 2009     length 7 : 3618
Tue Jan 13 12:43:26 2009     length 9+: 5205
Tue Jan 13 12:43:26 2009  largest cycle: 19 relations
Tue Jan 13 12:43:27 2009  matrix is 80000 x 80203 (21.4 MB) with weight 5300120 (66.08/col)
Tue Jan 13 12:43:27 2009  sparse part has weight 5300120 (66.08/col)
Tue Jan 13 12:43:28 2009  filtering completed in 3 passes
Tue Jan 13 12:43:28 2009  matrix is 76294 x 76358 (20.5 MB) with weight 5073539 (66.44/col)
Tue Jan 13 12:43:28 2009  sparse part has weight 5073539 (66.44/col)
Tue Jan 13 12:43:28 2009  saving the first 48 matrix rows for later
Tue Jan 13 12:43:28 2009  matrix is 76246 x 76358 (13.6 MB) with weight 4108305 (53.80/col)
Tue Jan 13 12:43:28 2009  sparse part has weight 3104632 (40.66/col)
Tue Jan 13 12:43:28 2009  matrix includes 64 packed rows
Tue Jan 13 12:43:28 2009  using block size 30543 for processor cache size 1024 kB
Tue Jan 13 12:43:29 2009  commencing Lanczos iteration
Tue Jan 13 12:43:29 2009  memory use: 12.7 MB
Tue Jan 13 12:44:08 2009  lanczos halted after 1206 iterations (dim = 76244)
Tue Jan 13 12:44:08 2009  recovered 16 nontrivial dependencies
Tue Jan 13 12:44:09 2009  prp34 factor: 1878925753271548350891453683398909
Tue Jan 13 12:44:09 2009  prp62 factor: 24837238859994793450933098574132030571190107627519248166255641
Tue Jan 13 12:44:09 2009  elapsed time 03:50:24

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 25, 2008 03:47:48 UTC 2008 年 12 月 25 日 (木) 12 時 47 分 48 秒 (日本時間)

13×10120+113

c104

name 名前Erik Branger
date 日付January 12, 2009 22:53:32 UTC 2009 年 1 月 13 日 (火) 7 時 53 分 32 秒 (日本時間)
composite number 合成数
32604857333581178199511028593996626669495904955556867346769957950556347799824542384755536881031900616261<104>
prime factors 素因数
227050036432175964827663796653111153454106407169<48>
143602079285817911224220194059875432673371152120802566469<57>
factorization results 素因数分解の結果
Number: 43337_120
N=32604857333581178199511028593996626669495904955556867346769957950556347799824542384755536881031900616261
  ( 104 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=227050036432175964827663796653111153454106407169
 r2=143602079285817911224220194059875432673371152120802566469
Version: 
Total time: 2.10 hours.
Scaled time: 4.40 units (timescale=2.095).
Factorization parameters were as follows:
n: 32604857333581178199511028593996626669495904955556867346769957950556347799824542384755536881031900616261
m: 1000000000000000000000000
deg: 5
c5: 13
c0: 11
skew: 0.97
type: snfs
lss: 1
rlim: 730000
alim: 730000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2 

Factor base limits: 730000/730000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [365000, 615001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 73952 x 74184
Total sieving time: 2.10 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,121,5,0,0,0,0,0,0,0,0,730000,730000,25,25,46,46,2.2,2.2,50000
total time: 2.10 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 25, 2008 03:47:48 UTC 2008 年 12 月 25 日 (木) 12 時 47 分 48 秒 (日本時間)

13×10129+113

c116

name 名前Serge Batalov
date 日付January 13, 2009 04:15:22 UTC 2009 年 1 月 13 日 (火) 13 時 15 分 22 秒 (日本時間)
composite number 合成数
35405888814733785703735984406455168531370574986773639096452294155143161811798625575349979300315808999947740798250427<116>
prime factors 素因数
9281663010039532950468760843457<31>
3814606151552466573303099303750536701596970698329405314826953837863735073362736633211<85>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4061892878
Step 1 took 9167ms
Step 2 took 8799ms
********** Factor found in step 2: 9281663010039532950468760843457
Found probable prime factor of 31 digits: 9281663010039532950468760843457
Probable prime cofactor has 85 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 25, 2008 03:47:48 UTC 2008 年 12 月 25 日 (木) 12 時 47 分 48 秒 (日本時間)

13×10133+113

c103

name 名前Sinkiti Sibata
date 日付January 13, 2009 22:55:59 UTC 2009 年 1 月 14 日 (水) 7 時 55 分 59 秒 (日本時間)
composite number 合成数
1977771148864657359017104644824987705954905186916919276490415161915497019205156970524246398328794909003<103>
prime factors 素因数
38536635444786366417186177412639724374473793960999<50>
51321842865559002570186158967759114685637664711207997<53>
factorization results 素因数分解の結果
Tue Jan 13 14:36:39 2009  Msieve v. 1.39
Tue Jan 13 14:36:39 2009  random seeds: 56a1c8f0 8269d6a3
Tue Jan 13 14:36:39 2009  factoring 1977771148864657359017104644824987705954905186916919276490415161915497019205156970524246398328794909003 (103 digits)
Tue Jan 13 14:36:40 2009  searching for 15-digit factors
Tue Jan 13 14:36:42 2009  commencing quadratic sieve (103-digit input)
Tue Jan 13 14:36:42 2009  using multiplier of 43
Tue Jan 13 14:36:42 2009  using 32kb Intel Core sieve core
Tue Jan 13 14:36:42 2009  sieve interval: 36 blocks of size 32768
Tue Jan 13 14:36:42 2009  processing polynomials in batches of 6
Tue Jan 13 14:36:42 2009  using a sieve bound of 3327859 (120000 primes)
Tue Jan 13 14:36:42 2009  using large prime bound of 499178850 (28 bits)
Tue Jan 13 14:36:42 2009  using double large prime bound of 4537964541132150 (44-53 bits)
Tue Jan 13 14:36:42 2009  using trial factoring cutoff of 53 bits
Tue Jan 13 14:36:42 2009  polynomial 'A' values have 14 factors
Wed Jan 14 07:35:42 2009  120314 relations (29962 full + 90352 combined from 1763406 partial), need 120096
Wed Jan 14 07:35:46 2009  begin with 1793368 relations
Wed Jan 14 07:35:47 2009  reduce to 310748 relations in 11 passes
Wed Jan 14 07:35:47 2009  attempting to read 310748 relations
Wed Jan 14 07:35:54 2009  recovered 310748 relations
Wed Jan 14 07:35:54 2009  recovered 301487 polynomials
Wed Jan 14 07:35:54 2009  attempting to build 120314 cycles
Wed Jan 14 07:35:54 2009  found 120314 cycles in 5 passes
Wed Jan 14 07:35:54 2009  distribution of cycle lengths:
Wed Jan 14 07:35:54 2009     length 1 : 29962
Wed Jan 14 07:35:54 2009     length 2 : 21154
Wed Jan 14 07:35:54 2009     length 3 : 20471
Wed Jan 14 07:35:54 2009     length 4 : 16386
Wed Jan 14 07:35:54 2009     length 5 : 12141
Wed Jan 14 07:35:54 2009     length 6 : 8168
Wed Jan 14 07:35:54 2009     length 7 : 5007
Wed Jan 14 07:35:54 2009     length 9+: 7025
Wed Jan 14 07:35:54 2009  largest cycle: 18 relations
Wed Jan 14 07:35:55 2009  matrix is 120000 x 120314 (34.0 MB) with weight 8436990 (70.12/col)
Wed Jan 14 07:35:55 2009  sparse part has weight 8436990 (70.12/col)
Wed Jan 14 07:35:57 2009  filtering completed in 3 passes
Wed Jan 14 07:35:57 2009  matrix is 114543 x 114607 (32.6 MB) with weight 8076914 (70.47/col)
Wed Jan 14 07:35:57 2009  sparse part has weight 8076914 (70.47/col)
Wed Jan 14 07:35:57 2009  saving the first 48 matrix rows for later
Wed Jan 14 07:35:58 2009  matrix is 114495 x 114607 (20.7 MB) with weight 6465094 (56.41/col)
Wed Jan 14 07:35:58 2009  sparse part has weight 4740334 (41.36/col)
Wed Jan 14 07:35:58 2009  matrix includes 64 packed rows
Wed Jan 14 07:35:58 2009  using block size 43690 for processor cache size 1024 kB
Wed Jan 14 07:35:59 2009  commencing Lanczos iteration
Wed Jan 14 07:35:59 2009  memory use: 19.6 MB
Wed Jan 14 07:37:31 2009  lanczos halted after 1812 iterations (dim = 114493)
Wed Jan 14 07:37:32 2009  recovered 16 nontrivial dependencies
Wed Jan 14 07:37:33 2009  prp50 factor: 38536635444786366417186177412639724374473793960999
Wed Jan 14 07:37:33 2009  prp53 factor: 51321842865559002570186158967759114685637664711207997
Wed Jan 14 07:37:33 2009  elapsed time 17:00:54

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 25, 2008 03:47:48 UTC 2008 年 12 月 25 日 (木) 12 時 47 分 48 秒 (日本時間)

13×10134+113

c114

name 名前Serge Batalov
date 日付January 13, 2009 07:36:29 UTC 2009 年 1 月 13 日 (火) 16 時 36 分 29 秒 (日本時間)
composite number 合成数
180544276001905585936188669707667634298162509150541346315109038714131653485746682884521027430565136143432076523981<114>
prime factors 素因数
11958553032490865212908609128910029714171<41>
15097501805726385936048310070893266742178719854170264340828668499522481111<74>
factorization results 素因数分解の結果
SNFS difficulty: 136 digits.
Divisors found:
 r1=11958553032490865212908609128910029714171 (pp41)
 r2=15097501805726385936048310070893266742178719854170264340828668499522481111 (pp74)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.304).
Factorization parameters were as follows:
n: 180544276001905585936188669707667634298162509150541346315109038714131653485746682884521027430565136143432076523981
m: 1000000000000000000000000000
deg: 5
c5: 13
c0: 110
skew: 1.53
type: snfs
lss: 1
rlim: 1300000
alim: 1300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [650000, 1175001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 184954 x 185202
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,136,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,49,49,2.3,2.3,75000
total time: 4.00 hours.
software ソフトウェア
Msieve-1.39
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 25, 2008 03:47:48 UTC 2008 年 12 月 25 日 (木) 12 時 47 分 48 秒 (日本時間)

13×10135+113

c121

name 名前Serge Batalov
date 日付January 12, 2009 19:58:11 UTC 2009 年 1 月 13 日 (火) 4 時 58 分 11 秒 (日本時間)
composite number 合成数
1640779470420048156193178491842866362597239570377162892223617459582986696070726438197772052506093094214214802234061106263<121>
prime factors 素因数
1179740285286225325598394472151<31>
1390797187214783276169378207767343950303330104479721308431542522056108887221238741129373313<91>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=362790999
Step 1 took 3304ms
Step 2 took 2472ms
********** Factor found in step 2: 1179740285286225325598394472151
Found probable prime factor of 31 digits: 1179740285286225325598394472151
Probable prime cofactor has 91 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 25, 2008 03:47:48 UTC 2008 年 12 月 25 日 (木) 12 時 47 分 48 秒 (日本時間)

13×10137+113

c137

name 名前Serge Batalov
date 日付January 13, 2009 02:28:56 UTC 2009 年 1 月 13 日 (火) 11 時 28 分 56 秒 (日本時間)
composite number 合成数
25490196078431372549019607843137254901960784313725490196078431372549019607843137254901960784313725490196078431372549019607843137254901961<137>
prime factors 素因数
807637985960916768831740876387492333779169190633031900872576802793<66>
31561413060708730150872571599062549070601558958879766962070075808593377<71>
factorization results 素因数分解の結果
SNFS difficulty: 139 digits.
Divisors found:
 r1=807637985960916768831740876387492333779169190633031900872576802793 (pp66)
 r2=31561413060708730150872571599062549070601558958879766962070075808593377 (pp71)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.294).
Factorization parameters were as follows:
n: 25490196078431372549019607843137254901960784313725490196078431372549019607843137254901960784313725490196078431372549019607843137254901961
m: 2000000000000000000000000000
deg: 5
c5: 325
c0: 88
skew: 0.77
type: snfs
lss: 1
rlim: 1450000
alim: 1450000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1450000/1450000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [725000, 1550001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 246638 x 246886
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,139,5,0,0,0,0,0,0,0,0,1450000,1450000,26,26,49,49,2.3,2.3,75000
total time: 5.00 hours.
software ソフトウェア
Msieve-1.39
execution environment 実行環境
Opteron-2.2GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 25, 2008 03:47:48 UTC 2008 年 12 月 25 日 (木) 12 時 47 分 48 秒 (日本時間)
351e6100Serge BatalovJanuary 13, 2009 01:57:45 UTC 2009 年 1 月 13 日 (火) 10 時 57 分 45 秒 (日本時間)
403e6450 / 1995Serge BatalovJanuary 13, 2009 01:57:45 UTC 2009 年 1 月 13 日 (火) 10 時 57 分 45 秒 (日本時間)
4511e691 / 4375Serge BatalovJanuary 13, 2009 01:57:45 UTC 2009 年 1 月 13 日 (火) 10 時 57 分 45 秒 (日本時間)

13×10138+113

c119

name 名前Erik Branger
date 日付January 13, 2009 10:46:47 UTC 2009 年 1 月 13 日 (火) 19 時 46 分 47 秒 (日本時間)
composite number 合成数
99496875934284246500941660778777866839855336465972506147730272280918518895060912149506031717411859566251369164756418897<119>
prime factors 素因数
447180441827714627908526856724608823<36>
222498272794804930710956102860230693645267326212839296532940428281757809275112947639<84>
factorization results 素因数分解の結果
Number: 43337_138
N=99496875934284246500941660778777866839855336465972506147730272280918518895060912149506031717411859566251369164756418897
  ( 119 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=447180441827714627908526856724608823
 r2=222498272794804930710956102860230693645267326212839296532940428281757809275112947639
Version: 
Total time: 8.45 hours.
Scaled time: 6.65 units (timescale=0.788).
Factorization parameters were as follows:
n: 99496875934284246500941660778777866839855336465972506147730272280918518895060912149506031717411859566251369164756418897
m: 5000000000000000000000000000
deg: 5
c5: 104
c0: 275
skew: 1.21
type: snfs
lss: 1
rlim: 1540000
alim: 1540000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1540000/1540000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [770000, 1570001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 237133 x 237381
Total sieving time: 8.45 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,140,5,0,0,0,0,0,0,0,0,1540000,1540000,26,26,48,48,2.3,2.3,100000
total time: 8.45 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 25, 2008 03:47:48 UTC 2008 年 12 月 25 日 (木) 12 時 47 分 48 秒 (日本時間)

13×10141+113

c120

name 名前Serge Batalov
date 日付January 12, 2009 19:59:08 UTC 2009 年 1 月 13 日 (火) 4 時 59 分 8 秒 (日本時間)
composite number 合成数
417820257654675367393633778352994793352915359503405430814812673538758905352675828290084712067559540265868960518147537149<120>
prime factors 素因数
734205875738359990609171143110293<33>
569077790659862392446982150080883761511884714960641444153678930769424205644134611144393<87>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3488388741
Step 1 took 3303ms
********** Factor found in step 1: 734205875738359990609171143110293
Found probable prime factor of 33 digits: 734205875738359990609171143110293
Probable prime cofactor has 87 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 25, 2008 03:47:48 UTC 2008 年 12 月 25 日 (木) 12 時 47 分 48 秒 (日本時間)

13×10144+113

c128

name 名前Erik Branger
date 日付January 13, 2009 10:43:57 UTC 2009 年 1 月 13 日 (火) 19 時 43 分 57 秒 (日本時間)
composite number 合成数
19481322805051481457546269534110260714900539419098714595161198172145325771983636749495559156356002297169680525224476574968078237<128>
prime factors 素因数
24353796243374302911046568308905788143<38>
451509433028751312085588314867466560521161<42>
1771678628451735717484316845181719869224421486619<49>
factorization results 素因数分解の結果
Number: 43337_144
N=19481322805051481457546269534110260714900539419098714595161198172145325771983636749495559156356002297169680525224476574968078237
  ( 128 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=24353796243374302911046568308905788143
 r2=451509433028751312085588314867466560521161
 r3=1771678628451735717484316845181719869224421486619
Version: 
Total time: 10.80 hours.
Scaled time: 23.40 units (timescale=2.166).
Factorization parameters were as follows:
n: 19481322805051481457546269534110260714900539419098714595161198172145325771983636749495559156356002297169680525224476574968078237
m: 100000000000000000000000000000
deg: 5
c5: 13
c0: 110
skew: 1.53
type: snfs
lss: 1
rlim: 1910000
alim: 1910000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3

Factor base limits: 1910000/1910000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [955000, 2055001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 304445 x 304693
Total sieving time: 10.80 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1910000,1910000,26,26,49,49,2.3,2.3,100000
total time: 10.80 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 25, 2008 03:47:48 UTC 2008 年 12 月 25 日 (木) 12 時 47 分 48 秒 (日本時間)

13×10145+113

c119

name 名前Serge Batalov
date 日付January 12, 2009 23:10:53 UTC 2009 年 1 月 13 日 (火) 8 時 10 分 53 秒 (日本時間)
composite number 合成数
15752788420338909301413741268852834264941260299921968835510310620844344251465693632073545771532875314590815946893242919<119>
prime factors 素因数
478862024668223181910294165350637<33>
2090097750097179593328371828976553<34>
15739119933263023002620364116075849632754645511358379<53>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2413085966
Step 1 took 9950ms
Step 2 took 2478ms
********** Factor found in step 2: 2090097750097179593328371828976553
Found probable prime factor of 34 digits: 2090097750097179593328371828976553
Composite cofactor has 85 digits

Mon Jan 12 14:39:25 2009  Msieve v. 1.39
Mon Jan 12 14:39:25 2009  random seeds: bad1e317 a2e5f3cc
Mon Jan 12 14:39:25 2009  factoring 7536866837738320921666098847731440383268647485457604604108798019696763265724702937423 (85 digits)
Mon Jan 12 14:39:26 2009  searching for 15-digit factors
Mon Jan 12 14:39:26 2009  commencing quadratic sieve (85-digit input)
Mon Jan 12 14:39:26 2009  using multiplier of 5
Mon Jan 12 14:39:26 2009  using 64kb Opteron sieve core
Mon Jan 12 14:39:26 2009  sieve interval: 6 blocks of size 65536
Mon Jan 12 14:39:26 2009  processing polynomials in batches of 17
Mon Jan 12 14:39:26 2009  using a sieve bound of 1426393 (54706 primes)
Mon Jan 12 14:39:26 2009  using large prime bound of 115537833 (26 bits)
Mon Jan 12 14:39:26 2009  using double large prime bound of 325764350421651 (41-49 bits)
Mon Jan 12 14:39:26 2009  using trial factoring cutoff of 49 bits
Mon Jan 12 14:39:26 2009  polynomial 'A' values have 11 factors
Mon Jan 12 14:39:26 2009  restarting with 2034 full and 73370 partial relations
Mon Jan 12 15:10:08 2009  54908 relations (15814 full + 39094 combined from 574147 partial), need 54802
Mon Jan 12 15:10:08 2009  begin with 589961 relations
Mon Jan 12 15:10:09 2009  reduce to 129977 relations in 9 passes
Mon Jan 12 15:10:09 2009  attempting to read 129977 relations
Mon Jan 12 15:10:10 2009  recovered 129977 relations
Mon Jan 12 15:10:10 2009  recovered 112279 polynomials
Mon Jan 12 15:10:10 2009  attempting to build 54908 cycles
Mon Jan 12 15:10:10 2009  found 54908 cycles in 5 passes
Mon Jan 12 15:10:10 2009  distribution of cycle lengths:
Mon Jan 12 15:10:10 2009     length 1 : 15814
Mon Jan 12 15:10:10 2009     length 2 : 10905
Mon Jan 12 15:10:10 2009     length 3 : 9701
Mon Jan 12 15:10:10 2009     length 4 : 7053
Mon Jan 12 15:10:10 2009     length 5 : 4821
Mon Jan 12 15:10:10 2009     length 6 : 2985
Mon Jan 12 15:10:10 2009     length 7 : 1681
Mon Jan 12 15:10:10 2009     length 9+: 1948
Mon Jan 12 15:10:10 2009  largest cycle: 19 relations
Mon Jan 12 15:10:10 2009  matrix is 54706 x 54908 (13.0 MB) with weight 2967305 (54.04/col)
Mon Jan 12 15:10:10 2009  sparse part has weight 2967305 (54.04/col)
Mon Jan 12 15:10:11 2009  filtering completed in 3 passes
Mon Jan 12 15:10:11 2009  matrix is 50009 x 50073 (12.0 MB) with weight 2733224 (54.58/col)
Mon Jan 12 15:10:11 2009  sparse part has weight 2733224 (54.58/col)
Mon Jan 12 15:10:11 2009  saving the first 48 matrix rows for later
Mon Jan 12 15:10:11 2009  matrix is 49961 x 50073 (7.3 MB) with weight 2067954 (41.30/col)
Mon Jan 12 15:10:11 2009  sparse part has weight 1414146 (28.24/col)
Mon Jan 12 15:10:11 2009  matrix includes 64 packed rows
Mon Jan 12 15:10:11 2009  using block size 20029 for processor cache size 1024 kB
Mon Jan 12 15:10:11 2009  commencing Lanczos iteration
Mon Jan 12 15:10:11 2009  memory use: 6.8 MB
Mon Jan 12 15:10:23 2009  lanczos halted after 791 iterations (dim = 49957)
Mon Jan 12 15:10:24 2009  recovered 16 nontrivial dependencies
Mon Jan 12 15:10:24 2009  prp33 factor: 478862024668223181910294165350637
Mon Jan 12 15:10:24 2009  prp53 factor: 15739119933263023002620364116075849632754645511358379
Mon Jan 12 15:10:24 2009  elapsed time 00:30:59
software ソフトウェア
GMP-ECM 6.2.1, Msieve-1.39
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 25, 2008 03:47:48 UTC 2008 年 12 月 25 日 (木) 12 時 47 分 48 秒 (日本時間)

13×10146+113

c114

name 名前Erik Branger
date 日付January 13, 2009 11:59:38 UTC 2009 年 1 月 13 日 (火) 20 時 59 分 38 秒 (日本時間)
composite number 合成数
133322732313830136091385992077768305157424353549583445582707356592375648731047454889267483803451585005072510601759<114>
prime factors 素因数
163493563027500334028675025536906033<36>
815461660049604937978163799568239320621530827894288671469726321744430193811023<78>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 133322732313830136091385992077768305157424353549583445582707356592375648731047454889267483803451585005072510601759 (114 digits)
Using B1=3000000, B2=3000000-5706890290, polynomial Dickson(6), sigma=303601485
Step 1 took 31122ms
Step 2 took 11638ms
********** Factor found in step 2: 163493563027500334028675025536906033
Found probable prime factor of 36 digits: 163493563027500334028675025536906033
Probable prime cofactor 815461660049604937978163799568239320621530827894288671469726321744430193811023 has 78 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 25, 2008 03:47:48 UTC 2008 年 12 月 25 日 (木) 12 時 47 分 48 秒 (日本時間)

13×10147+113

c103

name 名前Serge Batalov
date 日付January 13, 2009 09:23:47 UTC 2009 年 1 月 13 日 (火) 18 時 23 分 47 秒 (日本時間)
composite number 合成数
6471502712856816941534410396616323458062704121632605765152696107776979645565714978126919250460773418069<103>
prime factors 素因数
1632689107448837283748587003497437630804378717<46>
3963707899643478820787903054646032550519819003208303853657<58>
factorization results 素因数分解の結果
Number: 43337_147
N=6471502712856816941534410396616323458062704121632605765152696107776979645565714978126919250460773418069
  ( 103 digits)
Divisors found:
 r1=1632689107448837283748587003497437630804378717 (pp46)
 r2=3963707899643478820787903054646032550519819003208303853657 (pp58)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.728).
Factorization parameters were as follows:
name: 43337_147
n: 6471502712856816941534410396616323458062704121632605765152696107776979645565714978126919250460773418069
skew: 12803.66
# norm 1.56e+14
c5: 25200
c4: 6526908
c3: -16208983640194
c2: 36664277029938906
c1: 1517588518650563580273
c0: 4101674119551640223937604
# alpha -5.86
Y1: 12176988151
Y0: -48075179412327603905
# Murphy_E 2.43e-09
# M 765771848902745999549250401080960786347242002138049323590434441771344197826450219537382559039935974
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 1850001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 219161 x 219409
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,102,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 5.00 hours.
software ソフトウェア
Msieve-1.39 gnfs
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 25, 2008 03:47:48 UTC 2008 年 12 月 25 日 (木) 12 時 47 分 48 秒 (日本時間)

13×10149+113

c149

name 名前Serge Batalov
date 日付January 13, 2009 17:59:22 UTC 2009 年 1 月 14 日 (水) 2 時 59 分 22 秒 (日本時間)
composite number 合成数
10569105691056910569105691056910569105691056910569105691056910569105691056910569105691056910569105691056910569105691056910569105691056910569105691057<149>
prime factors 素因数
5774320557453509533551655639465224157<37>
5039432299373936049812725523191262751395620895863<49>
363208276154368335977320655706641846126561844130682961655421827<63>
factorization results 素因数分解の結果
SNFS difficulty: 151 digits.
Divisors found:
 r1=5774320557453509533551655639465224157 (pp37)
 r2=5039432299373936049812725523191262751395620895863 (pp49)
 r3=363208276154368335977320655706641846126561844130682961655421827 (pp63)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.558).
Factorization parameters were as follows:
n: 10569105691056910569105691056910569105691056910569105691056910569105691056910569105691056910569105691056910569105691056910569105691056910569105691057
m: 1000000000000000000000000000000
deg: 5
c5: 13
c0: 110
skew: 1.53
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [1150000, 1750001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 440738 x 440986
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,52,52,2.4,2.4,100000
total time: 8.50 hours.
software ソフトウェア
Msieve-1.39
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 25, 2008 03:47:48 UTC 2008 年 12 月 25 日 (木) 12 時 47 分 48 秒 (日本時間)

13×10152+113

c126

name 名前Serge Batalov
date 日付January 12, 2009 23:13:14 UTC 2009 年 1 月 13 日 (火) 8 時 13 分 14 秒 (日本時間)
composite number 合成数
631431997947715449272267985434468363823860922357007973231258108843176511995961143352252905973203919241449191250852179724457359<126>
prime factors 素因数
2641783753842599494853063694281<31>
composite cofactor 合成数の残り
239017291642159478476222200461765008396478220370329255792346259720554607262768237545189658828439<96>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1460152651
Step 1 took 9733ms
Step 2 took 10264ms
********** Factor found in step 2: 2641783753842599494853063694281
Found probable prime factor of 31 digits: 2641783753842599494853063694281
Composite cofactor has 96 digits
software ソフトウェア
GMP-ECM 6.2.1

c96

name 名前Erik Branger
date 日付January 13, 2009 21:49:42 UTC 2009 年 1 月 14 日 (水) 6 時 49 分 42 秒 (日本時間)
composite number 合成数
239017291642159478476222200461765008396478220370329255792346259720554607262768237545189658828439<96>
prime factors 素因数
120905449768733457519894583951105281814559946607<48>
1976894276472640254386872707511473139863658297177<49>
factorization results 素因数分解の結果
Tue Jan 13 16:04:46 2009  Msieve v. 1.38
Tue Jan 13 16:04:46 2009  random seeds: 5ea5d600 8195fe1a
Tue Jan 13 16:04:46 2009  factoring 239017291642159478476222200461765008396478220370329255792346259720554607262768237545189658828439 (96 digits)
Tue Jan 13 16:04:47 2009  searching for 15-digit factors
Tue Jan 13 16:04:49 2009  commencing quadratic sieve (96-digit input)
Tue Jan 13 16:04:49 2009  using multiplier of 1
Tue Jan 13 16:04:49 2009  using 64kb Pentium 4 sieve core
Tue Jan 13 16:04:49 2009  sieve interval: 18 blocks of size 65536
Tue Jan 13 16:04:49 2009  processing polynomials in batches of 6
Tue Jan 13 16:04:49 2009  using a sieve bound of 2229089 (82353 primes)
Tue Jan 13 16:04:49 2009  using large prime bound of 334363350 (28 bits)
Tue Jan 13 16:04:49 2009  using double large prime bound of 2205939464917200 (43-51 bits)
Tue Jan 13 16:04:49 2009  using trial factoring cutoff of 51 bits
Tue Jan 13 16:04:49 2009  polynomial 'A' values have 12 factors
Tue Jan 13 22:46:03 2009  82620 relations (19831 full + 62789 combined from 1238445 partial), need 82449
Tue Jan 13 22:46:09 2009  begin with 1258276 relations
Tue Jan 13 22:46:10 2009  reduce to 216862 relations in 11 passes
Tue Jan 13 22:46:10 2009  attempting to read 216862 relations
Tue Jan 13 22:46:19 2009  recovered 216862 relations
Tue Jan 13 22:46:19 2009  recovered 202259 polynomials
Tue Jan 13 22:46:20 2009  attempting to build 82620 cycles
Tue Jan 13 22:46:20 2009  found 82620 cycles in 5 passes
Tue Jan 13 22:46:20 2009  distribution of cycle lengths:
Tue Jan 13 22:46:20 2009     length 1 : 19831
Tue Jan 13 22:46:20 2009     length 2 : 14384
Tue Jan 13 22:46:20 2009     length 3 : 13780
Tue Jan 13 22:46:20 2009     length 4 : 11180
Tue Jan 13 22:46:20 2009     length 5 : 8539
Tue Jan 13 22:46:20 2009     length 6 : 5941
Tue Jan 13 22:46:20 2009     length 7 : 3722
Tue Jan 13 22:46:20 2009     length 9+: 5243
Tue Jan 13 22:46:20 2009  largest cycle: 21 relations
Tue Jan 13 22:46:20 2009  matrix is 82353 x 82620 (22.5 MB) with weight 5571702 (67.44/col)
Tue Jan 13 22:46:20 2009  sparse part has weight 5571702 (67.44/col)
Tue Jan 13 22:46:22 2009  filtering completed in 3 passes
Tue Jan 13 22:46:22 2009  matrix is 78709 x 78773 (21.6 MB) with weight 5338672 (67.77/col)
Tue Jan 13 22:46:22 2009  sparse part has weight 5338672 (67.77/col)
Tue Jan 13 22:46:23 2009  saving the first 48 matrix rows for later
Tue Jan 13 22:46:23 2009  matrix is 78661 x 78773 (14.5 MB) with weight 4301329 (54.60/col)
Tue Jan 13 22:46:23 2009  sparse part has weight 3319361 (42.14/col)
Tue Jan 13 22:46:23 2009  matrix includes 64 packed rows
Tue Jan 13 22:46:23 2009  using block size 21845 for processor cache size 512 kB
Tue Jan 13 22:46:24 2009  commencing Lanczos iteration
Tue Jan 13 22:46:24 2009  memory use: 13.4 MB
Tue Jan 13 22:47:36 2009  lanczos halted after 1245 iterations (dim = 78659)
Tue Jan 13 22:47:36 2009  recovered 17 nontrivial dependencies
Tue Jan 13 22:47:37 2009  prp48 factor: 120905449768733457519894583951105281814559946607
Tue Jan 13 22:47:37 2009  prp49 factor: 1976894276472640254386872707511473139863658297177
Tue Jan 13 22:47:37 2009  elapsed time 06:42:51
software ソフトウェア
Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 25, 2008 03:47:48 UTC 2008 年 12 月 25 日 (木) 12 時 47 分 48 秒 (日本時間)

13×10153+113

c140

name 名前Erik Branger
date 日付January 14, 2009 09:30:45 UTC 2009 年 1 月 14 日 (水) 18 時 30 分 45 秒 (日本時間)
composite number 合成数
24664254832465748459502657707992646079096609823530663662827043415488430096613894185804502758072751671330661198306629868323758976748404306653<140>
prime factors 素因数
65584580921735305097374227398029523494342491423519119650530487<62>
376067887997921142110137083688739434973552935635838676784563793032808788990219<78>
factorization results 素因数分解の結果
Number: 43337_153
N=24664254832465748459502657707992646079096609823530663662827043415488430096613894185804502758072751671330661198306629868323758976748404306653
  ( 140 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=65584580921735305097374227398029523494342491423519119650530487
 r2=376067887997921142110137083688739434973552935635838676784563793032808788990219
Version: 
Total time: 26.20 hours.
Scaled time: 55.80 units (timescale=2.130).
Factorization parameters were as follows:
n: 24664254832465748459502657707992646079096609823530663662827043415488430096613894185804502758072751671330661198306629868323758976748404306653
m: 5000000000000000000000000000000
deg: 5
c5: 104
c0: 275
skew: 1.21
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4

Factor base limits: 2700000/2700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1350000, 2250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 489813 x 490061
Total sieving time: 26.20 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,2700000,2700000,27,27,50,50,2.4,2.4,100000
total time: 26.20 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 25, 2008 03:47:48 UTC 2008 年 12 月 25 日 (木) 12 時 47 分 48 秒 (日本時間)

13×10155+113

c96

name 名前Jo Yeong Uk
date 日付January 12, 2009 22:16:19 UTC 2009 年 1 月 13 日 (火) 7 時 16 分 19 秒 (日本時間)
composite number 合成数
914372416241420607028108988210983881684880008198519659068075381745308228072890313094251568668619<96>
prime factors 素因数
441057055858236537663291454087634300850011<42>
2073138620268022456807154469119127942872134591485365329<55>
factorization results 素因数分解の結果
Number: 43337_155
N=914372416241420607028108988210983881684880008198519659068075381745308228072890313094251568668619
  ( 96 digits)
Divisors found:
 r1=441057055858236537663291454087634300850011
 r2=2073138620268022456807154469119127942872134591485365329
Version: 
Total time: 1.74 hours.
Scaled time: 4.08 units (timescale=2.344).
Factorization parameters were as follows:
name: 43337_155
n: 914372416241420607028108988210983881684880008198519659068075381745308228072890313094251568668619
skew: 850.27
# norm 1.28e+13
c5: 1722240
c4: 2528621504
c3: -3201503230244
c2: -1551922914281701
c1: -56054921225939732
c0: 163929427857595464981
# alpha -5.18
Y1: 6580789747
Y0: -881058887475319886
# Murphy_E 5.08e-09
# M 757439245795757934347877784253836113424870900628781300281117679238811095220990558846603867178560
type: gnfs
rlim: 800000
alim: 800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 40000
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [400000, 760001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 3487001
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 164098 x 164346
Polynomial selection time: 0.10 hours.
Total sieving time: 1.41 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,95,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,800000,800000,26,26,48,48,2.5,2.5,40000
total time: 1.74 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046968k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.61 BogoMIPS (lpj=2673805)
Calibrating delay using timer specific routine.. 5344.84 BogoMIPS (lpj=2672421)
Calibrating delay using timer specific routine.. 5344.41 BogoMIPS (lpj=2672207)
Calibrating delay using timer specific routine.. 5291.27 BogoMIPS (lpj=2645639)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 25, 2008 03:47:48 UTC 2008 年 12 月 25 日 (木) 12 時 47 分 48 秒 (日本時間)

13×10156+113

c112

name 名前Jo Yeong Uk
date 日付January 14, 2009 02:10:50 UTC 2009 年 1 月 14 日 (水) 11 時 10 分 50 秒 (日本時間)
composite number 合成数
9126181576474314099316202688733744758158416274557063351600048441236717182538166050024590943065552750697896817973<112>
prime factors 素因数
94337234232523356167988582191740606707889003037461<50>
96739973889631009267195768717081156635720572453826531736908193<62>
factorization results 素因数分解の結果
Number: 43337_156
N=9126181576474314099316202688733744758158416274557063351600048441236717182538166050024590943065552750697896817973
  ( 112 digits)
Divisors found:
 r1=94337234232523356167988582191740606707889003037461
 r2=96739973889631009267195768717081156635720572453826531736908193
Version: 
Total time: 12.22 hours.
Scaled time: 29.16 units (timescale=2.386).
Factorization parameters were as follows:
name: 43337_156
n: 9126181576474314099316202688733744758158416274557063351600048441236717182538166050024590943065552750697896817973
skew: 18641.35
# norm 1.12e+16
c5: 51300
c4: 9553100985
c3: -245158431981470
c2: -9997132154517714014
c1: -29187811733112763484300
c0: 864894561673356993925839
# alpha -6.16
Y1: 252042445787
Y0: -2818596457005864723910
# Murphy_E 7.05e-10
# M 3166073086433628145140272011787914321793077868154941162459374115294849123320903337401078096742166896587091018999
type: gnfs
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.6
alambda: 2.6
qintsize: 60000
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved algebraic special-q in [1200000, 2100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 8304063
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 434330 x 434578
Polynomial selection time: 0.87 hours.
Total sieving time: 10.15 hours.
Total relation processing time: 0.61 hours.
Matrix solve time: 0.42 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
gnfs,111,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2400000,2400000,27,27,51,51,2.6,2.6,60000
total time: 12.22 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046968k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.61 BogoMIPS (lpj=2673805)
Calibrating delay using timer specific routine.. 5344.84 BogoMIPS (lpj=2672421)
Calibrating delay using timer specific routine.. 5344.41 BogoMIPS (lpj=2672207)
Calibrating delay using timer specific routine.. 5291.27 BogoMIPS (lpj=2645639)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 25, 2008 03:47:48 UTC 2008 年 12 月 25 日 (木) 12 時 47 分 48 秒 (日本時間)

13×10157+113

c112

name 名前Serge Batalov
date 日付January 14, 2009 17:57:10 UTC 2009 年 1 月 15 日 (木) 2 時 57 分 10 秒 (日本時間)
composite number 合成数
8187035246648864842469428858836938255001110448154352590335554145448569846238531738387635346650027384212871106817<112>
prime factors 素因数
216208054409157593062352088920460849768841063<45>
37866467412705690316757476796901761998436087074646294065413033980759<68>
factorization results 素因数分解の結果
#borderline gnfs/snfs; found good polynomial => gnfs was faster
#
N=8187035246648864842469428858836938255001110448154352590335554145448569846238531738387635346650027384212871106817
  ( 112 digits)
Divisors found:
 r1=216208054409157593062352088920460849768841063 (pp45)
 r2=37866467412705690316757476796901761998436087074646294065413033980759 (pp68)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.710).
Factorization parameters were as follows:
name: 43337_157
n: 8187035246648864842469428858836938255001110448154352590335554145448569846238531738387635346650027384212871106817
skew: 61167.96
# norm 4.07e+15
c5: 6660
c4: 1079689452
c3: 25319299532829
c2: 863041214119956334
c1: -120283268263238551988060
c0: -871283991612239151823826625
# alpha -6.23
Y1: 31108648087
Y0: -4148875289325198945706
# Murphy_E 7.77e-10
# M 3263885175971627639211022329669223352106913257185713554496169784071687074017242523197383252707752474719357954621
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [1750000, 3450001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 518623 x 518869
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,111,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,52,52,2.4,2.4,100000
total time: 13.00 hours.
software ソフトウェア
Msieve-1.39 gnfs
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 25, 2008 03:47:48 UTC 2008 年 12 月 25 日 (木) 12 時 47 分 48 秒 (日本時間)
351e60--
403e60--
4511e6200 / 2374Serge BatalovJanuary 14, 2009 07:02:54 UTC 2009 年 1 月 14 日 (水) 16 時 2 分 54 秒 (日本時間)
5043e6600 / 7508Serge BatalovJanuary 14, 2009 07:02:54 UTC 2009 年 1 月 14 日 (水) 16 時 2 分 54 秒 (日本時間)

13×10160+113

c136

name 名前Jo Yeong Uk
date 日付January 15, 2009 02:36:50 UTC 2009 年 1 月 15 日 (木) 11 時 36 分 50 秒 (日本時間)
composite number 合成数
6920208600610370385069482795491829542945590344404204683796070425699101258300635541173618459414190728743093248609380824846048836985701673<136>
prime factors 素因数
23089315162879420588279523578469903211678270597405443440485281<62>
299714762079039746128520371602155646310929719488958029620447471553499575433<75>
factorization results 素因数分解の結果
Number: 43337_160
N=6920208600610370385069482795491829542945590344404204683796070425699101258300635541173618459414190728743093248609380824846048836985701673
  ( 136 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=23089315162879420588279523578469903211678270597405443440485281
 r2=299714762079039746128520371602155646310929719488958029620447471553499575433
Version: 
Total time: 14.39 hours.
Scaled time: 34.33 units (timescale=2.386).
Factorization parameters were as follows:
n: 6920208600610370385069482795491829542945590344404204683796070425699101258300635541173618459414190728743093248609380824846048836985701673
m: 100000000000000000000000000000000
deg: 5
c5: 13
c0: 11
skew: 0.97
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1700000, 2900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9337232
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 582785 x 583033
Total sieving time: 13.00 hours.
Total relation processing time: 0.56 hours.
Matrix solve time: 0.77 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 14.39 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046968k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.61 BogoMIPS (lpj=2673805)
Calibrating delay using timer specific routine.. 5344.84 BogoMIPS (lpj=2672421)
Calibrating delay using timer specific routine.. 5344.41 BogoMIPS (lpj=2672207)
Calibrating delay using timer specific routine.. 5291.27 BogoMIPS (lpj=2645639)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 25, 2008 03:47:48 UTC 2008 年 12 月 25 日 (木) 12 時 47 分 48 秒 (日本時間)

13×10161+113

c141

name 名前Jo Yeong Uk
date 日付January 15, 2009 22:29:22 UTC 2009 年 1 月 16 日 (金) 7 時 29 分 22 秒 (日本時間)
composite number 合成数
275239942792412661818761527536279723042021475242063102757272718266105632150916056789799483048330444045627931665600434601838675125207672506411<141>
prime factors 素因数
5715212407053093801499963783289143078633450460831<49>
48159179955016448416285230370078531173553150252889640143095600012242736469510165425171816181<92>
factorization results 素因数分解の結果
Number: 43337_161
N=275239942792412661818761527536279723042021475242063102757272718266105632150916056789799483048330444045627931665600434601838675125207672506411
  ( 141 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=5715212407053093801499963783289143078633450460831
 r2=48159179955016448416285230370078531173553150252889640143095600012242736469510165425171816181
Version: 
Total time: 18.32 hours.
Scaled time: 43.67 units (timescale=2.384).
Factorization parameters were as follows:
n: 275239942792412661818761527536279723042021475242063102757272718266105632150916056789799483048330444045627931665600434601838675125207672506411
m: 100000000000000000000000000000000
deg: 5
c5: 130
c0: 11
skew: 0.61
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1900000, 3400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9505448
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 669558 x 669806
Total sieving time: 16.36 hours.
Total relation processing time: 0.70 hours.
Matrix solve time: 1.01 hours.
Time per square root: 0.24 hours.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 18.32 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046968k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.61 BogoMIPS (lpj=2673805)
Calibrating delay using timer specific routine.. 5344.84 BogoMIPS (lpj=2672421)
Calibrating delay using timer specific routine.. 5344.41 BogoMIPS (lpj=2672207)
Calibrating delay using timer specific routine.. 5291.27 BogoMIPS (lpj=2645639)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 25, 2008 03:47:48 UTC 2008 年 12 月 25 日 (木) 12 時 47 分 48 秒 (日本時間)

13×10162+113

c163

name 名前Sinkiti Sibata
date 日付January 17, 2009 10:11:51 UTC 2009 年 1 月 17 日 (土) 19 時 11 分 51 秒 (日本時間)
composite number 合成数
4333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333337<163>
prime factors 素因数
34524487186108164589266926227963<32>
125514777669947954110061487216222423812216625154435593299309682944607690319606094120290179827989603346109673239467770114779667655099<132>
factorization results 素因数分解の結果
Number: 43337_162
N=4333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333337
  ( 163 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=34524487186108164589266926227963
 r2=125514777669947954110061487216222423812216625154435593299309682944607690319606094120290179827989603346109673239467770114779667655099
Version: 
Total time: 60.01 hours.
Scaled time: 118.05 units (timescale=1.967).
Factorization parameters were as follows:
name: 43337_162
n: 4333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333337
m: 200000000000000000000000000000000
deg: 5
c5: 325
c0: 88
skew: 0.77
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1900000, 4000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 721900 x 722148
Total sieving time: 60.01 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,164,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 60.01 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 25, 2008 03:47:48 UTC 2008 年 12 月 25 日 (木) 12 時 47 分 48 秒 (日本時間)

13×10163+113

c101

name 名前Serge Batalov
date 日付January 13, 2009 08:56:26 UTC 2009 年 1 月 13 日 (火) 17 時 56 分 26 秒 (日本時間)
composite number 合成数
89549242897312413145121015477987605938666360001715878782232515183403517627085365493127792527593159509<101>
prime factors 素因数
125111068703916647393850098641471129981479630019<48>
715757956709940897574201232426194262350826823645064711<54>
factorization results 素因数分解の結果
Number: 43337_163
N=89549242897312413145121015477987605938666360001715878782232515183403517627085365493127792527593159509
  ( 101 digits)
Divisors found:
 r1=125111068703916647393850098641471129981479630019 (pp48)
 r2=715757956709940897574201232426194262350826823645064711 (pp54)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.530).
Factorization parameters were as follows:
name: 43337_163
n: 89549242897312413145121015477987605938666360001715878782232515183403517627085365493127792527593159509
skew: 14219.20
# norm 4.72e+13
c5: 6720
c4: 1607219
c3: -3781792674674
c2: -20391760325156031
c1: 389716915741807259611
c0: -741615802863451244838340
# alpha -5.31
Y1: 21711660839
Y0: -26603483783377273221
# Murphy_E 2.92e-09
# M 18256076264919045554073716051401304772283243952469251928239199987692922377652841597411127307286087277
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1500001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 203363 x 203611
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,100,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 4.00 hours.
software ソフトウェア
Msieve-1.39 gnfs
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 25, 2008 03:47:48 UTC 2008 年 12 月 25 日 (木) 12 時 47 分 48 秒 (日本時間)

13×10164+113

c156

name 名前Erik Branger
date 日付January 26, 2009 19:51:52 UTC 2009 年 1 月 27 日 (火) 4 時 51 分 52 秒 (日本時間)
composite number 合成数
698497474923299913146728475612118899596341156962299667492151519836772445023403568936203868454930027765602384708635557541702678174128868592063887794294092657<156>
prime factors 素因数
598661797073473238145780382200311271428592944554907156282580452950134593<72>
1166764738184177016523443436582987050721413715803341695737452720587804424134807603249<85>
factorization results 素因数分解の結果
Number: 43337_164
N=698497474923299913146728475612118899596341156962299667492151519836772445023403568936203868454930027765602384708635557541702678174128868592063887794294092657
  ( 156 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=598661797073473238145780382200311271428592944554907156282580452950134593
 r2=1166764738184177016523443436582987050721413715803341695737452720587804424134807603249
Version: 
Total time: 69.52 hours.
Scaled time: 54.99 units (timescale=0.791).
Factorization parameters were as follows:
n: 698497474923299913146728475612118899596341156962299667492151519836772445023403568936203868454930027765602384708635557541702678174128868592063887794294092657
m: 1000000000000000000000000000000000
deg: 5
c5: 13
c0: 110
skew: 1.53
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4


Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2050000, 3950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 707150 x 707398
Total sieving time: 69.52 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
total time: 69.52 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 25, 2008 03:47:48 UTC 2008 年 12 月 25 日 (木) 12 時 47 分 48 秒 (日本時間)
351e60--
403e61800 / 23361200Serge BatalovJanuary 19, 2009 00:25:24 UTC 2009 年 1 月 19 日 (月) 9 時 25 分 24 秒 (日本時間)
600Serge BatalovJanuary 19, 2009 02:26:24 UTC 2009 年 1 月 19 日 (月) 11 時 26 分 24 秒 (日本時間)

13×10166+113

c125

name 名前Ignacio Santos
date 日付March 9, 2009 13:36:28 UTC 2009 年 3 月 9 日 (月) 22 時 36 分 28 秒 (日本時間)
composite number 合成数
91665526789847785397159889897757673029427981309456458068846002562248947844791517560634814045955028451056130736972331961960227<125>
prime factors 素因数
30522543014935933535828931337221102964882591495905606382609<59>
3003207391500507654404750316309514446820381495431181608193686383603<67>
factorization results 素因数分解の結果
Number: 43337_166
N=91665526789847785397159889897757673029427981309456458068846002562248947844791517560634814045955028451056130736972331961960227
  ( 125 digits)
SNFS difficulty: 167 digits.
Divisors found:
 r1=30522543014935933535828931337221102964882591495905606382609 (pp59)
 r2=3003207391500507654404750316309514446820381495431181608193686383603 (pp67)
Version: Msieve-1.39
Total time: 39.29 hours.
Scaled time: 68.33 units (timescale=1.739).
Factorization parameters were as follows:
n: 91665526789847785397159889897757673029427981309456458068846002562248947844791517560634814045955028451056130736972331961960227
m: 1000000000000000000000000000000000
deg: 5
c5: 130
c0: 11
skew: 0.61
type: snfs
lss: 1
rlim: 4300000
alim: 4300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4300000/4300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2150000, 4350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 765171 x 765419
Total sieving time: 39.29 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,4300000,4300000,27,27,51,51,2.4,2.4,100000
total time: 39.29 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 25, 2008 03:47:48 UTC 2008 年 12 月 25 日 (木) 12 時 47 分 48 秒 (日本時間)

13×10167+113

c156

name 名前Serge Batalov
date 日付January 16, 2009 18:04:24 UTC 2009 年 1 月 17 日 (土) 3 時 4 分 24 秒 (日本時間)
composite number 合成数
104176893210395939690502374790242590846413000580702197124951516286550964995388752088010593638802767954770278632816407445627521800813303371615530069372125457<156>
prime factors 素因数
194455719932452560733660170761976392451739776790187<51>
535735812999399153606191070676975358670063586820885715143607054168922311995203320428355887483546091708211<105>
factorization results 素因数分解の結果
SNFS difficulty: 169 digits.
Divisors found:
 r1=194455719932452560733660170761976392451739776790187 (pp51)
 r2=535735812999399153606191070676975358670063586820885715143607054168922311995203320428355887483546091708211 (pp105)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.951).
Factorization parameters were as follows:
n: 104176893210395939690502374790242590846413000580702197124951516286550964995388752088010593638802767954770278632816407445627521800813303371615530069372125457
m: 2000000000000000000000000000000000
deg: 5
c5: 325
c0: 88
skew: 0.77
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2300000, 5100001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 964562 x 964810
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,169,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.5,2.5,200000
total time: 48.00 hours.
software ソフトウェア
Msieve-1.39
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 25, 2008 03:47:48 UTC 2008 年 12 月 25 日 (木) 12 時 47 分 48 秒 (日本時間)
351e650Serge BatalovJanuary 16, 2009 03:51:09 UTC 2009 年 1 月 16 日 (金) 12 時 51 分 9 秒 (日本時間)
403e61100 / 1977Serge BatalovJanuary 16, 2009 03:51:09 UTC 2009 年 1 月 16 日 (金) 12 時 51 分 9 秒 (日本時間)
4511e6100 / 4233Serge BatalovJanuary 16, 2009 03:51:09 UTC 2009 年 1 月 16 日 (金) 12 時 51 分 9 秒 (日本時間)

13×10168+113

c169

name 名前Sinkiti Sibata
date 日付January 16, 2009 06:27:18 UTC 2009 年 1 月 16 日 (金) 15 時 27 分 18 秒 (日本時間)
composite number 合成数
4333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333337<169>
prime factors 素因数
5846472133582342637694713367859<31>
74900637750264860219951078932462865953<38>
9895612898452368895553154031861840324724793753937589708723250272302747379331205428168055115630613731<100>
factorization results 素因数分解の結果
Number: 43337_168
N=4333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333337
  ( 169 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=5846472133582342637694713367859
 r2=74900637750264860219951078932462865953
 r3=9895612898452368895553154031861840324724793753937589708723250272302747379331205428168055115630613731
Version: 
Total time: 66.86 hours.
Scaled time: 172.16 units (timescale=2.575).
Factorization parameters were as follows:
name: 43337_168
n: 4333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333337
m: 5000000000000000000000000000000000
deg: 5
c5: 104
c0: 275
skew: 1.21
type: snfs
lss: 1
rlim: 4900000
alim: 4900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2450000, 5250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 912020 x 912268
Total sieving time: 66.86 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,4900000,4900000,27,27,52,52,2.4,2.4,100000
total time: 66.86 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
3025e4430Makoto KamadaDecember 25, 2008 03:47:48 UTC 2008 年 12 月 25 日 (木) 12 時 47 分 48 秒 (日本時間)

13×10169+113

c163

name 名前Serge Batalov
date 日付January 17, 2009 20:39:41 UTC 2009 年 1 月 18 日 (日) 5 時 39 分 41 秒 (日本時間)
composite number 合成数
7230051162622815627744464853581175037925789531319719591920339963679559905673415585732306020925214074862952989818030179234636794764820061545532442935847922881382279<163>
prime factors 素因数
22087011810801629543251722041130620916073931<44>
327344016680742970688278759292115174513035620073606621698749651782305565580130278811022668813825639938252180855560809909<120>
factorization results 素因数分解の結果
SNFS difficulty: 171 digits.
Divisors found:
 r1=22087011810801629543251722041130620916073931 (pp44)
 r2=327344016680742970688278759292115174513035620073606621698749651782305565580130278811022668813825639938252180855560809909 (pp120)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.288).
Factorization parameters were as follows:
n: 7230051162622815627744464853581175037925789531319719591920339963679559905673415585732306020925214074862952989818030179234636794764820061545532442935847922881382279
m: 10000000000000000000000000000000000
deg: 5
c5: 13
c0: 110
skew: 1.53
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2500000, 5200001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 901506 x 901754
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.4,2.4,100000
total time: 60.00 hours.
software ソフトウェア
Msieve-1.39
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 25, 2008 03:47:48 UTC 2008 年 12 月 25 日 (木) 12 時 47 分 48 秒 (日本時間)
351e650Serge BatalovJanuary 17, 2009 03:19:38 UTC 2009 年 1 月 17 日 (土) 12 時 19 分 38 秒 (日本時間)
403e6440 / 2115Serge BatalovJanuary 17, 2009 03:19:38 UTC 2009 年 1 月 17 日 (土) 12 時 19 分 38 秒 (日本時間)
4511e660 / 4379Serge BatalovJanuary 17, 2009 03:19:38 UTC 2009 年 1 月 17 日 (土) 12 時 19 分 38 秒 (日本時間)

13×10170+113

c150

name 名前Serge Batalov
date 日付January 12, 2009 23:15:40 UTC 2009 年 1 月 13 日 (火) 8 時 15 分 40 秒 (日本時間)
composite number 合成数
509034094931696786161400101104505006854424074690732423693530191164929794064074699253747518068807867654094173154188707316114603728835587891780333093777<150>
prime factors 素因数
1373651784966490440402937717<28>
composite cofactor 合成数の残り
370569965767644980357356235399428856137811078710645235253822530344840763763076823444886948979877902193136601912075023451181<123>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2409739674
Step 1 took 11736ms
********** Factor found in step 1: 1373651784966490440402937717
Found probable prime factor of 28 digits: 1373651784966490440402937717
Composite cofactor has 123 digits
software ソフトウェア
GMP-ECM 6.2.1

c123

name 名前Robert Backstrom
date 日付March 7, 2009 00:34:21 UTC 2009 年 3 月 7 日 (土) 9 時 34 分 21 秒 (日本時間)
composite number 合成数
370569965767644980357356235399428856137811078710645235253822530344840763763076823444886948979877902193136601912075023451181<123>
prime factors 素因数
75419873015009426887961716945954103895361<41>
4913426010328832983926082517300597573047085667748765160896669600454929105984112621<82>
factorization results 素因数分解の結果
GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 370569965767644980357356235399428856137811078710645235253822530344840763763076823444886948979877902193136601912075023451181 (123 digits)
Using B1=20000000, B2=59950304286, polynomial Dickson(12), sigma=139757922
Step 1 took 231729ms
Step 2 took 76758ms
********** Factor found in step 2: 75419873015009426887961716945954103895361
Found probable prime factor of 41 digits: 75419873015009426887961716945954103895361
Probable prime cofactor 4913426010328832983926082517300597573047085667748765160896669600454929105984112621 has 82 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 25, 2008 03:47:48 UTC 2008 年 12 月 25 日 (木) 12 時 47 分 48 秒 (日本時間)

13×10171+113

c114

name 名前Serge Batalov
date 日付January 12, 2009 22:11:26 UTC 2009 年 1 月 13 日 (火) 7 時 11 分 26 秒 (日本時間)
composite number 合成数
121884142715457612769907411266300974777037194457809708756201190734151947400232653132503962219183750510309878919393<114>
prime factors 素因数
42437908770327161353502748258707797<35>
2872058172684506346630550954044468196069561799481335826483411687432830745426269<79>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1644727183
Step 1 took 8191ms
Step 2 took 9318ms
********** Factor found in step 2: 42437908770327161353502748258707797
Found probable prime factor of 35 digits: 42437908770327161353502748258707797
Probable prime cofactor has 79 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 25, 2008 03:47:48 UTC 2008 年 12 月 25 日 (木) 12 時 47 分 48 秒 (日本時間)

13×10172+113

c103

name 名前Serge Batalov
date 日付January 13, 2009 09:22:52 UTC 2009 年 1 月 13 日 (火) 18 時 22 分 52 秒 (日本時間)
composite number 合成数
2514281618185119047267551628988833847305791628965405631217338056079108891052479407838212838722566143953<103>
prime factors 素因数
7484592628038052621285087704880092637265857489<46>
335927650726956320807691331130396826552727400188028875777<57>
factorization results 素因数分解の結果
Number: 43337_172
N=2514281618185119047267551628988833847305791628965405631217338056079108891052479407838212838722566143953
  ( 103 digits)
Divisors found:
 r1=7484592628038052621285087704880092637265857489 (pp46)
 r2=335927650726956320807691331130396826552727400188028875777 (pp57)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.724).
Factorization parameters were as follows:
name: 43337_172
n: 2514281618185119047267551628988833847305791628965405631217338056079108891052479407838212838722566143953
skew: 15171.04
# norm 3.51e+14
c5: 22680
c4: -124055346
c3: -30204415768669
c2: 1652155236686905
c1: 1833485328963513386013
c0: -2986641083616374487288735
# alpha -6.05
Y1: 8174481641
Y0: -40640053367376438856
# Murphy_E 2.35e-09
# M 984034130476818682388074087529638493249314732894513911123846271023921439173263023879179576856922289270
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 1850001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 289389 x 289636
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,102,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 5.00 hours.
software ソフトウェア
Msieve-1.39 gnfs
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 25, 2008 03:47:48 UTC 2008 年 12 月 25 日 (木) 12 時 47 分 48 秒 (日本時間)

13×10175+113

c173

name 名前Ignacio Santos
date 日付February 17, 2009 12:56:53 UTC 2009 年 2 月 17 日 (火) 21 時 56 分 53 秒 (日本時間)
composite number 合成数
24495948746938006406632749199170906350103636706237045411720369323534953834558130770680233653664970793291878650838515168645185603919351799510081025061239871867345016016581873<173>
prime factors 素因数
1288621095191851780372499073998595818057<40>
7132302930944498108158521532994477253953<40>
26155680541725035222970324444772014948886396049<47>
101899774506178196286892707388314296027824602137<48>
factorization results 素因数分解の結果
Number: 43337_175
N=24495948746938006406632749199170906350103636706237045411720369323534953834558130770680233653664970793291878650838515168645185603919351799510081025061239871867345016016581873
  ( 173 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=1288621095191851780372499073998595818057 (pp40)
 r2=7132302930944498108158521532994477253953 (pp40)
 r3=26155680541725035222970324444772014948886396049 (pp47)
 r4=101899774506178196286892707388314296027824602137 (pp48)
Version: Msieve-1.39
Total time: 66.16 hours.
Scaled time: 115.05 units (timescale=1.739).
Factorization parameters were as follows:
n: 24495948746938006406632749199170906350103636706237045411720369323534953834558130770680233653664970793291878650838515168645185603919351799510081025061239871867345016016581873
m: 100000000000000000000000000000000000
deg: 5
c5: 13
c0: 11
skew: 0.97
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3000000, 6300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1195582 x 1195828
Total sieving time: 66.16 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,6000000,6000000,28,28,53,53,2.5,2.5,100000
total time: 66.16 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 25, 2008 03:47:48 UTC 2008 年 12 月 25 日 (木) 12 時 47 分 48 秒 (日本時間)

13×10176+113

c151

name 名前Serge Batalov
date 日付January 12, 2009 23:14:17 UTC 2009 年 1 月 13 日 (火) 8 時 14 分 17 秒 (日本時間)
composite number 合成数
8342404176126926817713280317762951764605900405065829678629817564457218528483368952012548350792023774653066306911189976332407456847011210078382411795841<151>
prime factors 素因数
7214678530365912514392376942580747<34>
composite cofactor 合成数の残り
1156309895307811941622908693198246922243653991539782167408598606417694458851169627709353999330698718727763054818848803<118>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1504423703
Step 1 took 11712ms
Step 2 took 12076ms
********** Factor found in step 2: 7214678530365912514392376942580747
Found probable prime factor of 34 digits: 7214678530365912514392376942580747
Composite cofactor has 118 digits
software ソフトウェア
GMP-ECM 6.2.1

c118

name 名前Jo Yeong Uk
date 日付January 18, 2009 01:53:00 UTC 2009 年 1 月 18 日 (日) 10 時 53 分 0 秒 (日本時間)
composite number 合成数
1156309895307811941622908693198246922243653991539782167408598606417694458851169627709353999330698718727763054818848803<118>
prime factors 素因数
2647921762108576264092059984134504698004998754236125413<55>
436685823521850048650697860974923802737776010762066685670397031<63>
factorization results 素因数分解の結果
Number: 43337_176
N=1156309895307811941622908693198246922243653991539782167408598606417694458851169627709353999330698718727763054818848803
  ( 118 digits)
Divisors found:
 r1=2647921762108576264092059984134504698004998754236125413
 r2=436685823521850048650697860974923802737776010762066685670397031
Version: 
Total time: 20.45 hours.
Scaled time: 48.82 units (timescale=2.387).
Factorization parameters were as follows:
name: 43337_176
n: 1156309895307811941622908693198246922243653991539782167408598606417694458851169627709353999330698718727763054818848803
skew: 86938.81
# norm 1.35e+16
c5: 6300
c4: 4926644502
c3: -246507659994353
c2: -32087229166127883695
c1: 545959753297972335924309
c0: 16408727250791251967319716217
# alpha -6.33
Y1: 6224387125139
Y0: -44950790497788532043480
# Murphy_E 4.23e-10
# M 491803742154308281868070421448617208199764438528474791943785419864700658290962699773504730358650003601248810959189583
type: gnfs
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [2000000, 3500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9094056
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 641503 x 641751
Polynomial selection time: 2.00 hours.
Total sieving time: 16.72 hours.
Total relation processing time: 0.64 hours.
Matrix solve time: 0.95 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
gnfs,117,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4000000,4000000,27,27,52,52,2.4,2.4,100000
total time: 20.45 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046968k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.61 BogoMIPS (lpj=2673805)
Calibrating delay using timer specific routine.. 5344.84 BogoMIPS (lpj=2672421)
Calibrating delay using timer specific routine.. 5344.41 BogoMIPS (lpj=2672207)
Calibrating delay using timer specific routine.. 5291.27 BogoMIPS (lpj=2645639)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 25, 2008 03:47:48 UTC 2008 年 12 月 25 日 (木) 12 時 47 分 48 秒 (日本時間)

13×10177+113

c145

name 名前Serge Batalov
date 日付January 12, 2009 23:12:20 UTC 2009 年 1 月 13 日 (火) 8 時 12 分 20 秒 (日本時間)
composite number 合成数
2204311900457287513904312382004389840891002521104456305828437710741588795254267327258556128602812980962556380118275454454072194868522154422033937<145>
prime factors 素因数
517032018136409059571353874400367<33>
4263395347163435754605167105549384651423460652755404927762370848388609390026405509148863593252815692516229219711<112>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=593251309
Step 1 took 11725ms
Step 2 took 11716ms
********** Factor found in step 2: 517032018136409059571353874400367
Found probable prime factor of 33 digits: 517032018136409059571353874400367
Probable prime cofactor has 112 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 25, 2008 03:47:48 UTC 2008 年 12 月 25 日 (木) 12 時 47 分 48 秒 (日本時間)

13×10178+113

c172

name 名前Ignacio Santos
date 日付June 29, 2010 06:32:50 UTC 2010 年 6 月 29 日 (火) 15 時 32 分 50 秒 (日本時間)
composite number 合成数
1225570156212774779546090106425589852067931392846624165590592500855000164556362128415259822900021597374391291121095862598652387567631557107906710240776549910463143999053709<172>
prime factors 素因数
595431913883879744735462852650846829383475577847<48>
2058287652434739443869743544692456466685667157172755996643913529482517357963432163456157582946486410966402043200696623566747<124>
factorization results 素因数分解の結果
Number: 2
N=1225570156212774779546090106425589852067931392846624165590592500855000164556362128415259822900021597374391291121095862598652387567631557107906710240776549910463143999053709
  ( 172 digits)
SNFS difficulty: 179 digits.
Divisors found:
 r1=595431913883879744735462852650846829383475577847 (pp48)
 r2=2058287652434739443869743544692456466685667157172755996643913529482517357963432163456157582946486410966402043200696623566747 (pp124)
Version: Msieve-1.40
Total time: 106.90 hours.
Scaled time: 185.90 units (timescale=1.739).
Factorization parameters were as follows:
n: 1225570156212774779546090106425589852067931392846624165590592500855000164556362128415259822900021597374391291121095862598652387567631557107906710240776549910463143999053709
m: 100000000000000000000000000000000000
deg: 5
c5: 13000
c0: 11
skew: 0.24
type: snfs
lss: 1
rlim: 6800000
alim: 6800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3400000, 8500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1395750 x 1395975
Total sieving time: 103.36 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 2.68 hours.
Time per square root: 0.66 hours.
Prototype def-par.txt line would be:
snfs,179.000,5,0,0,0,0,0,0,0,0,6800000,6800000,28,28,53,53,2.5,2.5,100000
total time: 106.90 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 25, 2008 03:47:48 UTC 2008 年 12 月 25 日 (木) 12 時 47 分 48 秒 (日本時間)
351e6300Ignacio SantosJune 18, 2010 16:39:34 UTC 2010 年 6 月 19 日 (土) 1 時 39 分 34 秒 (日本時間)
403e62144110Ignacio SantosJune 18, 2010 16:39:34 UTC 2010 年 6 月 19 日 (土) 1 時 39 分 34 秒 (日本時間)
2034Wataru SakaiJune 29, 2010 05:50:55 UTC 2010 年 6 月 29 日 (火) 14 時 50 分 55 秒 (日本時間)
4511e632 / 3991Ignacio SantosJune 18, 2010 16:39:34 UTC 2010 年 6 月 19 日 (土) 1 時 39 分 34 秒 (日本時間)

13×10179+113

c158

name 名前Dmitry Domanov
date 日付August 5, 2013 15:41:16 UTC 2013 年 8 月 6 日 (火) 0 時 41 分 16 秒 (日本時間)
composite number 合成数
94409716979057337171336535610741125269217562421966602373666936571294640155296626021089243110452461860079304441493657473677977416252049827089916257233524741141<158>
prime factors 素因数
98137948620234452279225548502863082596096931<44>
962010295776567574893469128293855427065916934441788586954950772594534111253581385168304875539810349771225264327911<114>
factorization results 素因数分解の結果
N=94409716979057337171336535610741125269217562421966602373666936571294640155296626021089243110452461860079304441493657473677977416252049827089916257233524741141
  ( 158 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=98137948620234452279225548502863082596096931 (pp44)
 r2=962010295776567574893469128293855427065916934441788586954950772594534111253581385168304875539810349771225264327911 (pp114)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 100.28 hours.
Scaled time: 192.74 units (timescale=1.922).
Factorization parameters were as follows:
n: 94409716979057337171336535610741125269217562421966602373666936571294640155296626021089243110452461860079304441493657473677977416252049827089916257233524741141
m: 500000000000000000000000000000000000
deg: 5
c5: 208
c0: 55
skew: 0.77
# Murphy_E = 9.68e-11
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3600000, 8800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1538107 x 1538355
Total sieving time: 97.64 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 2.26 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
snfs,180.000,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,53,53,2.5,2.5,100000
total time: 100.28 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
3025e4430Makoto KamadaDecember 25, 2008 03:47:48 UTC 2008 年 12 月 25 日 (木) 12 時 47 分 48 秒 (日本時間)
351e6300Ignacio SantosMay 13, 2011 06:33:36 UTC 2011 年 5 月 13 日 (金) 15 時 33 分 36 秒 (日本時間)
403e62144110Ignacio SantosMay 13, 2011 06:33:36 UTC 2011 年 5 月 13 日 (金) 15 時 33 分 36 秒 (日本時間)
2034Wataru SakaiMay 15, 2012 03:00:57 UTC 2012 年 5 月 15 日 (火) 12 時 0 分 57 秒 (日本時間)
4511e632 / 3991Ignacio SantosMay 13, 2011 06:33:36 UTC 2011 年 5 月 13 日 (金) 15 時 33 分 36 秒 (日本時間)

13×10181+113

c160

name 名前Dmitry Domanov
date 日付August 5, 2013 15:41:44 UTC 2013 年 8 月 6 日 (火) 0 時 41 分 44 秒 (日本時間)
composite number 合成数
8865032682763988706010452657075247225613321654961185920976123148984269462530839116735323597262753096692460146051748572967293342525335224587915162594200739929583<160>
prime factors 素因数
2937944465125662684646659621700491896157401856843763809655212425122749360593<76>
3017426907824416871694736983233132864086240421338102415832422204896510281957521898431<85>
factorization results 素因数分解の結果
N=8865032682763988706010452657075247225613321654961185920976123148984269462530839116735323597262753096692460146051748572967293342525335224587915162594200739929583
  ( 160 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=2937944465125662684646659621700491896157401856843763809655212425122749360593 (pp76)
 r2=3017426907824416871694736983233132864086240421338102415832422204896510281957521898431 (pp85)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 123.97 hours.
Scaled time: 238.51 units (timescale=1.924).
Factorization parameters were as follows:
n: 8865032682763988706010452657075247225613321654961185920976123148984269462530839116735323597262753096692460146051748572967293342525335224587915162594200739929583
m: 1000000000000000000000000000000000000
deg: 5
c5: 130
c0: 11
skew: 0.61
# Murphy_E = 8.266e-11
type: snfs
lss: 1
rlim: 7600000
alim: 7600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7600000/7600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3800000, 10200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1501237 x 1501469
Total sieving time: 121.49 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 2.17 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,182.000,5,0,0,0,0,0,0,0,0,7600000,7600000,28,28,53,53,2.5,2.5,100000
total time: 123.97 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
3025e4430Makoto KamadaDecember 25, 2008 03:47:48 UTC 2008 年 12 月 25 日 (木) 12 時 47 分 48 秒 (日本時間)
351e6300Ignacio SantosMay 13, 2011 06:34:00 UTC 2011 年 5 月 13 日 (金) 15 時 34 分 0 秒 (日本時間)
403e6110Ignacio SantosMay 13, 2011 06:34:00 UTC 2011 年 5 月 13 日 (金) 15 時 34 分 0 秒 (日本時間)
4511e6432 / 409032Ignacio SantosMay 13, 2011 06:34:00 UTC 2011 年 5 月 13 日 (金) 15 時 34 分 0 秒 (日本時間)
400Rich DickersonJune 15, 2013 17:40:01 UTC 2013 年 6 月 16 日 (日) 2 時 40 分 1 秒 (日本時間)
5043e6100 / 7450Rich DickersonJune 15, 2013 18:54:11 UTC 2013 年 6 月 16 日 (日) 3 時 54 分 11 秒 (日本時間)

13×10184+113

c163

name 名前Jo Yeong Uk
date 日付September 5, 2014 16:42:06 UTC 2014 年 9 月 6 日 (土) 1 時 42 分 6 秒 (日本時間)
composite number 合成数
5375999282185504740374835006123070266403609615378773435315506021669891305066826430797768442873784469607667275220131418181968939182606705817389567301020953040182689<163>
prime factors 素因数
5330522754286514729143093523797965622520333513128751298946582940611<67>
1008531344859642569920836448636360275742348002574545094470537645204051406465398437686334201540299<97>
factorization results 素因数分解の結果
Number: 43337_184
N=5375999282185504740374835006123070266403609615378773435315506021669891305066826430797768442873784469607667275220131418181968939182606705817389567301020953040182689
  ( 163 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=5330522754286514729143093523797965622520333513128751298946582940611
 r2=1008531344859642569920836448636360275742348002574545094470537645204051406465398437686334201540299
Version: 
Total time: 72.97 hours.
Scaled time: 383.18 units (timescale=5.251).
Factorization parameters were as follows:
n: 5375999282185504740374835006123070266403609615378773435315506021669891305066826430797768442873784469607667275220131418181968939182606705817389567301020953040182689
m: 10000000000000000000000000000000000000
deg: 5
c5: 13
c0: 110
skew: 1.53
# Murphy_E = 6.073e-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, 7600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20298874
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1649247 x 1649495
Total sieving time: 67.60 hours.
Total relation processing time: 1.79 hours.
Matrix solve time: 3.49 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000
total time: 72.97 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 25, 2008 03:47:48 UTC 2008 年 12 月 25 日 (木) 12 時 47 分 48 秒 (日本時間)
351e6300Ignacio SantosMay 13, 2011 06:34:25 UTC 2011 年 5 月 13 日 (金) 15 時 34 分 25 秒 (日本時間)
403e61610110Ignacio SantosMay 13, 2011 06:34:25 UTC 2011 年 5 月 13 日 (金) 15 時 34 分 25 秒 (日本時間)
1500Dmitry DomanovAugust 30, 2013 16:24:18 UTC 2013 年 8 月 31 日 (土) 1 時 24 分 18 秒 (日本時間)
4511e6832 / 410932Ignacio SantosMay 13, 2011 06:34:25 UTC 2011 年 5 月 13 日 (金) 15 時 34 分 25 秒 (日本時間)
500Dmitry DomanovSeptember 19, 2013 13:04:22 UTC 2013 年 9 月 19 日 (木) 22 時 4 分 22 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:18 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 18 秒 (日本時間)

13×10186+113

c156

name 名前Dmitry Domanov
date 日付August 8, 2013 05:35:03 UTC 2013 年 8 月 8 日 (木) 14 時 35 分 3 秒 (日本時間)
composite number 合成数
155361147045059594155909164473196759069148755641610855863936250330174539836080470583732504891240246403703744527887080134408291488569865402590397144089375477<156>
prime factors 素因数
1522404880227401762440946527950604632109<40>
composite cofactor 合成数の残り
102049822003889848786769343063705500834312813195840951580913187093627046654053002982924040123121778225827760830149353<117>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3247007769
Step 1 took 19965ms
Step 2 took 7757ms
********** Factor found in step 2: 1522404880227401762440946527950604632109
Found probable prime factor of 40 digits: 1522404880227401762440946527950604632109

c117

name 名前Dmitry Domanov
date 日付August 12, 2013 06:01:56 UTC 2013 年 8 月 12 日 (月) 15 時 1 分 56 秒 (日本時間)
composite number 合成数
102049822003889848786769343063705500834312813195840951580913187093627046654053002982924040123121778225827760830149353<117>
prime factors 素因数
1175711474400884135338449573941275604051145238250482098691<58>
86798355060617334138132281434777314021499459079470602738083<59>
factorization results 素因数分解の結果
N=102049822003889848786769343063705500834312813195840951580913187093627046654053002982924040123121778225827760830149353
  ( 117 digits)
Divisors found:
 r1=1175711474400884135338449573941275604051145238250482098691 (pp58)
 r2=86798355060617334138132281434777314021499459079470602738083 (pp59)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 45.18 hours.
Scaled time: 48.88 units (timescale=1.082).
Factorization parameters were as follows:
n: 102049822003889848786769343063705500834312813195840951580913187093627046654053002982924040123121778225827760830149353
skew: 51011.88
c0: -3205618942838776228056627489
c1: 98962968395771579263048
c2: 7166411332909736169
c3: -94816634618010
c4: -3325461614
c5: 12696
Y0: -24045248389969289242660
Y1: 211567909543
rlim: 4700000
alim: 4700000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 200000
Factor base limits: 4700000/4700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2350000, 3750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 520821 x 521052
Total sieving time: 44.39 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 0.44 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
gnfs,116,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4700000,4700000,27,27,54,54,2.5,2.5,100000
total time: 45.18 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 25, 2008 03:47:48 UTC 2008 年 12 月 25 日 (木) 12 時 47 分 48 秒 (日本時間)
351e6300Ignacio SantosMay 13, 2011 07:35:50 UTC 2011 年 5 月 13 日 (金) 16 時 35 分 50 秒 (日本時間)
403e6110 / 2144Ignacio SantosMay 13, 2011 07:35:50 UTC 2011 年 5 月 13 日 (金) 16 時 35 分 50 秒 (日本時間)
4511e632 / 4441Ignacio SantosMay 13, 2011 07:35:50 UTC 2011 年 5 月 13 日 (金) 16 時 35 分 50 秒 (日本時間)

13×10187+113

c165

name 名前LegionMammal978
date 日付July 25, 2017 13:02:22 UTC 2017 年 7 月 25 日 (火) 22 時 2 分 22 秒 (日本時間)
composite number 合成数
111332458508230195707962533929531097370828917361754967004423389938187478727430097798626814909253258123477317473617069465540879304705731341227089576451701525467384297<165>
prime factors 素因数
118684362061283211104439510916639817733523395904514457337<57>
938054993721440517160616448654364726522511663277801669914728682625682836647716575923870879641779684940820081<108>
factorization results 素因数分解の結果
Mon Jul 24 21:26:15 2017  Msieve v. 1.53 (SVN Unversioned directory)
Mon Jul 24 21:26:15 2017  random seeds: 4caca61f 28b6e0f7
Mon Jul 24 21:26:15 2017  factoring 111332458508230195707962533929531097370828917361754967004423389938187478727430097798626814909253258123477317473617069465540879304705731341227089576451701525467384297 (165 digits)
Mon Jul 24 21:26:16 2017  no P-1/P+1/ECM available, skipping
Mon Jul 24 21:26:16 2017  commencing number field sieve (165-digit input)
Mon Jul 24 21:26:16 2017  R0: -10000000000000000000000000000000000000
Mon Jul 24 21:26:16 2017  R1: 1
Mon Jul 24 21:26:16 2017  A0: 11
Mon Jul 24 21:26:16 2017  A1: 0
Mon Jul 24 21:26:16 2017  A2: 0
Mon Jul 24 21:26:16 2017  A3: 0
Mon Jul 24 21:26:16 2017  A4: 0
Mon Jul 24 21:26:16 2017  A5: 1300
Mon Jul 24 21:26:16 2017  skew 0.39, size 2.583e-13, alpha 0.863, combined = 3.699e-11 rroots = 1
Mon Jul 24 21:26:16 2017  
Mon Jul 24 21:26:16 2017  commencing relation filtering
Mon Jul 24 21:26:16 2017  estimated available RAM is 15929.4 MB
Mon Jul 24 21:26:16 2017  commencing duplicate removal, pass 1
Mon Jul 24 21:28:56 2017  found 3523866 hash collisions in 22535075 relations
Mon Jul 24 21:29:15 2017  added 332 free relations
Mon Jul 24 21:29:15 2017  commencing duplicate removal, pass 2
Mon Jul 24 21:29:21 2017  found 3251703 duplicates and 19283704 unique relations
Mon Jul 24 21:29:21 2017  memory use: 106.6 MB
Mon Jul 24 21:29:21 2017  reading ideals above 720000
Mon Jul 24 21:29:21 2017  commencing singleton removal, initial pass
Mon Jul 24 21:31:22 2017  memory use: 689.0 MB
Mon Jul 24 21:31:22 2017  reading all ideals from disk
Mon Jul 24 21:31:23 2017  memory use: 617.8 MB
Mon Jul 24 21:31:24 2017  keeping 21453552 ideals with weight <= 200, target excess is 116091
Mon Jul 24 21:31:25 2017  commencing in-memory singleton removal
Mon Jul 24 21:31:27 2017  begin with 19283704 relations and 21453552 unique ideals
Mon Jul 24 21:31:38 2017  reduce to 7857286 relations and 7704306 ideals in 19 passes
Mon Jul 24 21:31:38 2017  max relations containing the same ideal: 107
Mon Jul 24 21:31:40 2017  removing 176558 relations and 167401 ideals in 9157 cliques
Mon Jul 24 21:31:40 2017  commencing in-memory singleton removal
Mon Jul 24 21:31:41 2017  begin with 7680728 relations and 7704306 unique ideals
Mon Jul 24 21:31:45 2017  reduce to 7677128 relations and 7533299 ideals in 9 passes
Mon Jul 24 21:31:45 2017  max relations containing the same ideal: 107
Mon Jul 24 21:31:47 2017  removing 127710 relations and 118553 ideals in 9157 cliques
Mon Jul 24 21:31:47 2017  commencing in-memory singleton removal
Mon Jul 24 21:31:47 2017  begin with 7549418 relations and 7533299 unique ideals
Mon Jul 24 21:31:50 2017  reduce to 7547333 relations and 7412659 ideals in 7 passes
Mon Jul 24 21:31:50 2017  max relations containing the same ideal: 106
Mon Jul 24 21:31:52 2017  relations with 0 large ideals: 2877
Mon Jul 24 21:31:52 2017  relations with 1 large ideals: 775
Mon Jul 24 21:31:52 2017  relations with 2 large ideals: 14916
Mon Jul 24 21:31:52 2017  relations with 3 large ideals: 123070
Mon Jul 24 21:31:52 2017  relations with 4 large ideals: 540909
Mon Jul 24 21:31:52 2017  relations with 5 large ideals: 1386241
Mon Jul 24 21:31:52 2017  relations with 6 large ideals: 2208743
Mon Jul 24 21:31:52 2017  relations with 7+ large ideals: 3269802
Mon Jul 24 21:31:52 2017  commencing 2-way merge
Mon Jul 24 21:31:55 2017  reduce to 4391240 relation sets and 4256568 unique ideals
Mon Jul 24 21:31:55 2017  ignored 2 oversize relation sets
Mon Jul 24 21:31:55 2017  commencing full merge
Mon Jul 24 21:32:50 2017  memory use: 509.8 MB
Mon Jul 24 21:32:51 2017  found 2231742 cycles, need 2226768
Mon Jul 24 21:32:51 2017  weight of 2226768 cycles is about 156131946 (70.12/cycle)
Mon Jul 24 21:32:51 2017  distribution of cycle lengths:
Mon Jul 24 21:32:51 2017  1 relations: 335633
Mon Jul 24 21:32:51 2017  2 relations: 294389
Mon Jul 24 21:32:51 2017  3 relations: 274254
Mon Jul 24 21:32:51 2017  4 relations: 233697
Mon Jul 24 21:32:51 2017  5 relations: 198448
Mon Jul 24 21:32:51 2017  6 relations: 162803
Mon Jul 24 21:32:51 2017  7 relations: 135313
Mon Jul 24 21:32:51 2017  8 relations: 110278
Mon Jul 24 21:32:51 2017  9 relations: 88403
Mon Jul 24 21:32:51 2017  10+ relations: 393550
Mon Jul 24 21:32:51 2017  heaviest cycle: 28 relations
Mon Jul 24 21:32:52 2017  commencing cycle optimization
Mon Jul 24 21:32:54 2017  start with 12865795 relations
Mon Jul 24 21:33:08 2017  pruned 278095 relations
Mon Jul 24 21:33:08 2017  memory use: 432.8 MB
Mon Jul 24 21:33:08 2017  distribution of cycle lengths:
Mon Jul 24 21:33:08 2017  1 relations: 335633
Mon Jul 24 21:33:08 2017  2 relations: 300704
Mon Jul 24 21:33:08 2017  3 relations: 283104
Mon Jul 24 21:33:08 2017  4 relations: 237874
Mon Jul 24 21:33:08 2017  5 relations: 201443
Mon Jul 24 21:33:08 2017  6 relations: 163331
Mon Jul 24 21:33:08 2017  7 relations: 135249
Mon Jul 24 21:33:08 2017  8 relations: 108511
Mon Jul 24 21:33:08 2017  9 relations: 86866
Mon Jul 24 21:33:08 2017  10+ relations: 374053
Mon Jul 24 21:33:08 2017  heaviest cycle: 28 relations
Mon Jul 24 21:33:11 2017  RelProcTime: 415
Mon Jul 24 21:33:12 2017  elapsed time 00:06:57
Mon Jul 24 21:33:12 2017 LatSieveTime: 1283.72
Mon Jul 24 21:33:12 2017 -> Running matrix solving step ...
Mon Jul 24 21:33:12 2017 -> ./msieve -s 43337_187/43337_187.dat -l 43337_187/43337_187.log -i 43337_187/43337_187.ini -nf 43337_187/43337_187.fb -t 4 -nc2
Mon Jul 24 21:33:12 2017  
Mon Jul 24 21:33:12 2017  
Mon Jul 24 21:33:12 2017  Msieve v. 1.53 (SVN Unversioned directory)
Mon Jul 24 21:33:12 2017  random seeds: cd693708 3b65955c
Mon Jul 24 21:33:12 2017  factoring 111332458508230195707962533929531097370828917361754967004423389938187478727430097798626814909253258123477317473617069465540879304705731341227089576451701525467384297 (165 digits)
Mon Jul 24 21:33:12 2017  no P-1/P+1/ECM available, skipping
Mon Jul 24 21:33:12 2017  commencing number field sieve (165-digit input)
Mon Jul 24 21:33:12 2017  R0: -10000000000000000000000000000000000000
Mon Jul 24 21:33:12 2017  R1: 1
Mon Jul 24 21:33:12 2017  A0: 11
Mon Jul 24 21:33:12 2017  A1: 0
Mon Jul 24 21:33:12 2017  A2: 0
Mon Jul 24 21:33:12 2017  A3: 0
Mon Jul 24 21:33:12 2017  A4: 0
Mon Jul 24 21:33:12 2017  A5: 1300
Mon Jul 24 21:33:12 2017  skew 0.39, size 2.583e-13, alpha 0.863, combined = 3.699e-11 rroots = 1
Mon Jul 24 21:33:12 2017  
Mon Jul 24 21:33:12 2017  commencing linear algebra
Mon Jul 24 21:33:13 2017  read 2226768 cycles
Mon Jul 24 21:33:15 2017  cycles contain 7347886 unique relations
Mon Jul 24 21:33:54 2017  read 7347886 relations
Mon Jul 24 21:33:59 2017  using 20 quadratic characters above 4294917295
Mon Jul 24 21:34:29 2017  building initial matrix
Mon Jul 24 21:35:16 2017  memory use: 884.8 MB
Mon Jul 24 21:35:16 2017  read 2226768 cycles
Mon Jul 24 21:35:17 2017  matrix is 2226590 x 2226768 (668.9 MB) with weight 195511222 (87.80/col)
Mon Jul 24 21:35:17 2017  sparse part has weight 150861215 (67.75/col)
Mon Jul 24 21:35:31 2017  filtering completed in 2 passes
Mon Jul 24 21:35:32 2017  matrix is 2224602 x 2224780 (668.7 MB) with weight 195435750 (87.84/col)
Mon Jul 24 21:35:32 2017  sparse part has weight 150831247 (67.80/col)
Mon Jul 24 21:35:37 2017  matrix starts at (0, 0)
Mon Jul 24 21:35:37 2017  matrix is 2224602 x 2224780 (668.7 MB) with weight 195435750 (87.84/col)
Mon Jul 24 21:35:37 2017  sparse part has weight 150831247 (67.80/col)
Mon Jul 24 21:35:37 2017  saving the first 48 matrix rows for later
Mon Jul 24 21:35:37 2017  matrix includes 64 packed rows
Mon Jul 24 21:35:38 2017  matrix is 2224554 x 2224780 (634.5 MB) with weight 156439267 (70.32/col)
Mon Jul 24 21:35:38 2017  sparse part has weight 144075942 (64.76/col)
Mon Jul 24 21:35:38 2017  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Mon Jul 24 21:35:43 2017  commencing Lanczos iteration (4 threads)
Mon Jul 24 21:35:43 2017  memory use: 512.4 MB
Mon Jul 24 21:35:51 2017  linear algebra at 0.1%, ETA 3h15m
Mon Jul 24 21:35:53 2017  checkpointing every 730000 dimensions
Mon Jul 24 23:54:37 2017  lanczos halted after 35179 iterations (dim = 2224553)
Mon Jul 24 23:54:39 2017  recovered 39 nontrivial dependencies
Mon Jul 24 23:54:39 2017  BLanczosTime: 8487
Mon Jul 24 23:54:39 2017  elapsed time 02:21:27
Mon Jul 24 23:54:39 2017 -> Running square root step ...
Mon Jul 24 23:54:39 2017 -> ./msieve -s 43337_187/43337_187.dat -l 43337_187/43337_187.log -i 43337_187/43337_187.ini -nf 43337_187/43337_187.fb -t 4 -nc3
Mon Jul 24 23:54:39 2017  
Mon Jul 24 23:54:39 2017  
Mon Jul 24 23:54:39 2017  Msieve v. 1.53 (SVN Unversioned directory)
Mon Jul 24 23:54:39 2017  random seeds: a3fb6a5f af572b83
Mon Jul 24 23:54:39 2017  factoring 111332458508230195707962533929531097370828917361754967004423389938187478727430097798626814909253258123477317473617069465540879304705731341227089576451701525467384297 (165 digits)
Mon Jul 24 23:54:40 2017  no P-1/P+1/ECM available, skipping
Mon Jul 24 23:54:40 2017  commencing number field sieve (165-digit input)
Mon Jul 24 23:54:40 2017  R0: -10000000000000000000000000000000000000
Mon Jul 24 23:54:40 2017  R1: 1
Mon Jul 24 23:54:40 2017  A0: 11
Mon Jul 24 23:54:40 2017  A1: 0
Mon Jul 24 23:54:40 2017  A2: 0
Mon Jul 24 23:54:40 2017  A3: 0
Mon Jul 24 23:54:40 2017  A4: 0
Mon Jul 24 23:54:40 2017  A5: 1300
Mon Jul 24 23:54:40 2017  skew 0.39, size 2.583e-13, alpha 0.863, combined = 3.699e-11 rroots = 1
Mon Jul 24 23:54:40 2017  
Mon Jul 24 23:54:40 2017  commencing square root phase
Mon Jul 24 23:54:40 2017  reading relations for dependency 1
Mon Jul 24 23:54:40 2017  read 1112449 cycles
Mon Jul 24 23:54:42 2017  cycles contain 3673890 unique relations
Mon Jul 24 23:54:59 2017  read 3673890 relations
Mon Jul 24 23:55:10 2017  multiplying 3673890 relations
Mon Jul 24 23:57:02 2017  multiply complete, coefficients have about 118.56 million bits
Mon Jul 24 23:57:02 2017  initial square root is modulo 323590931
Mon Jul 24 23:59:20 2017  GCD is N, no factor found
Mon Jul 24 23:59:20 2017  reading relations for dependency 2
Mon Jul 24 23:59:20 2017  read 1112513 cycles
Mon Jul 24 23:59:21 2017  cycles contain 3672842 unique relations
Mon Jul 24 23:59:39 2017  read 3672842 relations
Mon Jul 24 23:59:49 2017  multiplying 3672842 relations
Tue Jul 25 00:01:41 2017  multiply complete, coefficients have about 118.53 million bits
Tue Jul 25 00:01:41 2017  initial square root is modulo 321821111
Tue Jul 25 00:04:00 2017  GCD is N, no factor found
Tue Jul 25 00:04:00 2017  reading relations for dependency 3
Tue Jul 25 00:04:00 2017  read 1111639 cycles
Tue Jul 25 00:04:01 2017  cycles contain 3673198 unique relations
Tue Jul 25 00:04:19 2017  read 3673198 relations
Tue Jul 25 00:04:29 2017  multiplying 3673198 relations
Tue Jul 25 00:06:21 2017  multiply complete, coefficients have about 118.54 million bits
Tue Jul 25 00:06:21 2017  initial square root is modulo 322251911
Tue Jul 25 00:08:39 2017  GCD is N, no factor found
Tue Jul 25 00:08:39 2017  reading relations for dependency 4
Tue Jul 25 00:08:39 2017  read 1112912 cycles
Tue Jul 25 00:08:40 2017  cycles contain 3676760 unique relations
Tue Jul 25 00:08:58 2017  read 3676760 relations
Tue Jul 25 00:09:08 2017  multiplying 3676760 relations
Tue Jul 25 00:10:59 2017  multiply complete, coefficients have about 118.65 million bits
Tue Jul 25 00:10:59 2017  initial square root is modulo 328331501
Tue Jul 25 00:13:17 2017  sqrtTime: 1117
Tue Jul 25 00:13:17 2017  p57 factor: 118684362061283211104439510916639817733523395904514457337
Tue Jul 25 00:13:17 2017  p108 factor: 938054993721440517160616448654364726522511663277801669914728682625682836647716575923870879641779684940820081
Tue Jul 25 00:13:17 2017  elapsed time 00:18:38
software ソフトウェア
Msieve 1.53 snfs
execution environment 実行環境
Core i7-2600K 3.4GHz, Ubuntu 16.04.2 LTS

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 25, 2008 03:47:48 UTC 2008 年 12 月 25 日 (木) 12 時 47 分 48 秒 (日本時間)
351e6300Ignacio SantosMay 13, 2011 12:30:41 UTC 2011 年 5 月 13 日 (金) 21 時 30 分 41 秒 (日本時間)
403e61610110Ignacio SantosMay 13, 2011 12:30:41 UTC 2011 年 5 月 13 日 (金) 21 時 30 分 41 秒 (日本時間)
1500Dmitry DomanovAugust 30, 2013 16:24:27 UTC 2013 年 8 月 31 日 (土) 1 時 24 分 27 秒 (日本時間)
4511e61332 / 410932Ignacio SantosMay 13, 2011 12:30:41 UTC 2011 年 5 月 13 日 (金) 21 時 30 分 41 秒 (日本時間)
1000Dmitry DomanovSeptember 26, 2013 13:34:53 UTC 2013 年 9 月 26 日 (木) 22 時 34 分 53 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:19 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 19 秒 (日本時間)

13×10188+113

c157

name 名前Serge Batalov
date 日付January 13, 2009 00:09:25 UTC 2009 年 1 月 13 日 (火) 9 時 9 分 25 秒 (日本時間)
composite number 合成数
7702822096201548265887098121960197873276387639124867226453393039274792535498576790542131413370490878060974490212952755048824170687886185177021955298093149223<157>
prime factors 素因数
106516169444251311571441538317907<33>
composite cofactor 合成数の残り
72315988608969549766354716564088708863361398791668800127495140769387943021448338653197888223981621630401019958904218407786589<125>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2305462360
Step 1 took 13810ms
Step 2 took 13184ms
********** Factor found in step 2: 106516169444251311571441538317907
Found probable prime factor of 33 digits: 106516169444251311571441538317907
Composite cofactor has 125 digits
software ソフトウェア
GMP-ECM 6.2.1

c125

name 名前Wataru Sakai
date 日付December 9, 2009 04:25:50 UTC 2009 年 12 月 9 日 (水) 13 時 25 分 50 秒 (日本時間)
composite number 合成数
72315988608969549766354716564088708863361398791668800127495140769387943021448338653197888223981621630401019958904218407786589<125>
prime factors 素因数
30942293088057381698511237526930241499691<41>
2337124414249729105204220797351745040236609507852691754539000092085018567123113821079<85>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1831739677
Step 1 took 34209ms
Step 2 took 13653ms
********** Factor found in step 2: 30942293088057381698511237526930241499691
Found probable prime factor of 41 digits: 30942293088057381698511237526930241499691
Probable prime cofactor 2337124414249729105204220797351745040236609507852691754539000092085018567123113821079 has 85 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 25, 2008 03:47:48 UTC 2008 年 12 月 25 日 (木) 12 時 47 分 48 秒 (日本時間)
351e60--
403e6500 / 2336Erik BrangerMarch 6, 2009 15:05:16 UTC 2009 年 3 月 7 日 (土) 0 時 5 分 16 秒 (日本時間)

13×10193+113

c161

name 名前Serge Batalov
date 日付January 13, 2009 00:58:09 UTC 2009 年 1 月 13 日 (火) 9 時 58 分 9 秒 (日本時間)
composite number 合成数
18044933014803217855834546585374717608791722752660318957454204552047713235626633785051897489448052756278835426848775390959918403532597509026588490210928832346041<161>
prime factors 素因数
528939695216908001586855390299<30>
34115293629840614800212793487061778880381322301987682674528561980984797481451268135182069095737192125952710750608718824379108161659<131>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2053943442
Step 1 took 14717ms
Step 2 took 13078ms
********** Factor found in step 2: 528939695216908001586855390299
Found probable prime factor of 30 digits: 528939695216908001586855390299
Probable prime cofactor has 131 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 25, 2008 03:47:48 UTC 2008 年 12 月 25 日 (木) 12 時 47 分 48 秒 (日本時間)

13×10194+113

c152

name 名前Serge Batalov
date 日付January 12, 2009 23:38:18 UTC 2009 年 1 月 13 日 (火) 8 時 38 分 18 秒 (日本時間)
composite number 合成数
14646191058413175603895559079138373926217203629596866242429730354316124523305619650824269539225381284234040457563400218017620054464701080067079045562067<152>
prime factors 素因数
6080092611502949989510099120823<31>
2408876310650925262480767490286417447634363404060717087626403216670946806218350381194813011157655867258367905899750623429<121>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3066536428
Step 1 took 11722ms
Step 2 took 12009ms
********** Factor found in step 2: 6080092611502949989510099120823
Found probable prime factor of 31 digits: 6080092611502949989510099120823
Probable prime cofactor has 121 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 25, 2008 03:47:48 UTC 2008 年 12 月 25 日 (木) 12 時 47 分 48 秒 (日本時間)

13×10195+113

c176

composite cofactor 合成数の残り
32319734655841410386166150770109791467526637402760142350267886638423249536573598827258972245950968443927619917736090062729765400085352225213234745946557403379944923647844044363<176>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 25, 2008 03:47:48 UTC 2008 年 12 月 25 日 (木) 12 時 47 分 48 秒 (日本時間)
351e6300Ignacio SantosMay 13, 2011 12:31:02 UTC 2011 年 5 月 13 日 (金) 21 時 31 分 2 秒 (日本時間)
403e61610110Ignacio SantosMay 13, 2011 12:31:02 UTC 2011 年 5 月 13 日 (金) 21 時 31 分 2 秒 (日本時間)
1500Dmitry DomanovAugust 30, 2013 16:24:37 UTC 2013 年 8 月 31 日 (土) 1 時 24 分 37 秒 (日本時間)
4511e61332 / 410932Ignacio SantosMay 13, 2011 12:31:02 UTC 2011 年 5 月 13 日 (金) 21 時 31 分 2 秒 (日本時間)
1000Dmitry DomanovSeptember 19, 2013 13:04:04 UTC 2013 年 9 月 19 日 (木) 22 時 4 分 4 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:19 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 19 秒 (日本時間)

13×10198+113

c194

name 名前Serge Batalov
date 日付January 12, 2009 21:19:57 UTC 2009 年 1 月 13 日 (火) 6 時 19 分 57 秒 (日本時間)
composite number 合成数
18962516938632919221136496572889727129381253072292407845814316116826608203768289712251098731991078865107947774311040706689246648375131096631527664124230741740729881863519472316913252319626350897<194>
prime factors 素因数
7398690232181262061837908593<28>
composite cofactor 合成数の残り
2562955921056643657369718794314123503026583369057025549235277178026716563560559650778997176320033555655178458140715495725060185839224317583375229287594620326583476929<166>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=643488791
Step 1 took 6296ms
Step 2 took 3919ms
********** Factor found in step 2: 7398690232181262061837908593
Found probable prime factor of 28 digits: 7398690232181262061837908593
Composite cofactor has 166 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 25, 2008 03:47:48 UTC 2008 年 12 月 25 日 (木) 12 時 47 分 48 秒 (日本時間)
351e6300Ignacio SantosMay 13, 2011 12:31:52 UTC 2011 年 5 月 13 日 (金) 21 時 31 分 52 秒 (日本時間)
403e61610110Ignacio SantosMay 13, 2011 12:31:52 UTC 2011 年 5 月 13 日 (金) 21 時 31 分 52 秒 (日本時間)
1500Dmitry DomanovAugust 29, 2013 22:53:00 UTC 2013 年 8 月 30 日 (金) 7 時 53 分 0 秒 (日本時間)
4511e61332 / 410932Ignacio SantosMay 13, 2011 12:31:52 UTC 2011 年 5 月 13 日 (金) 21 時 31 分 52 秒 (日本時間)
1000Dmitry DomanovAugust 29, 2013 22:53:00 UTC 2013 年 8 月 30 日 (金) 7 時 53 分 0 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:20 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 20 秒 (日本時間)

13×10199+113

c187

name 名前matsui
date 日付January 18, 2011 20:17:20 UTC 2011 年 1 月 19 日 (水) 5 時 17 分 20 秒 (日本時間)
composite number 合成数
5720465739936398176890919414274560939669337112716312236128114585613248703543589259794005680091787465055371925452879604712537191974447480673505568720894369795477935526658778484243042263547<187>
prime factors 素因数
1061173356846985573466420298641927790516172760982997<52>
5390698610200079527011767675577395232330607896840786382759344673777802647421921822569847832693768844756521955445584635402972929191723151<136>
factorization results 素因数分解の結果
N=5720465739936398176890919414274560939669337112716312236128114585613248703543589259794005680091787465055371925452879604712537191974447480673505568720894369795477935526658778484243042263547
  ( 187 digits)
SNFS difficulty: 200 digits.
Divisors found:
 r1=1061173356846985573466420298641927790516172760982997 (pp52)
 r2=5390698610200079527011767675577395232330607896840786382759344673777802647421921822569847832693768844756521955445584635402972929191723151 (pp136)
Version: Msieve v. 1.48
Total time:
Scaled time: 150.59 units (timescale=1.889).
Factorization parameters were as follows:
n: 5720465739936398176890919414274560939669337112716312236128114585613248703543589259794005680091787465055371925452879604712537191974447480673505568720894369795477935526658778484243042263547
m: 1000000000000000000000000000000000000000
deg: 5
c5: 130000
c0: 11
skew: 0.15
type: snfs
lss: 1
rlim: 15100000
alim: 15100000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 320000
Factor base limits: 15100000/15100000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [7550000, 17150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3462985 x 3463233
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,200.000,5,0,0,0,0,0,0,0,0,15100000,15100000,29,29,56,56,2.6,2.6,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 25, 2008 03:47:48 UTC 2008 年 12 月 25 日 (木) 12 時 47 分 48 秒 (日本時間)

13×10200+113

c168

name 名前Robert Backstrom
date 日付October 19, 2012 13:56:14 UTC 2012 年 10 月 19 日 (金) 22 時 56 分 14 秒 (日本時間)
composite number 合成数
437120660041661479685833377370168169966199815264461911375635869945018772058730672224939594709711305194041492611599936788377001781505968289868052276125000680793151460863<168>
prime factors 素因数
481475957979987695087884315042999884549704445701622928118385870023539<69>
907876401296511214483306473962467168746516461847681143623120498307315622397961579907398071065141317<99>
factorization results 素因数分解の結果
Number: n
N=437120660041661479685833377370168169966199815264461911375635869945018772058730672224939594709711305194041492611599936788377001781505968289868052276125000680793151460863
  ( 168 digits)
SNFS difficulty: 201 digits.
Divisors found:

Sat Oct 20 00:53:18 2012  prp69 factor: 481475957979987695087884315042999884549704445701622928118385870023539
Sat Oct 20 00:53:18 2012  prp99 factor: 907876401296511214483306473962467168746516461847681143623120498307315622397961579907398071065141317
Sat Oct 20 00:53:18 2012  elapsed time 05:47:17 (Msieve 1.44 - dependency 4)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.088).
Factorization parameters were as follows:
name: KA_43337_200
n: 437120660041661479685833377370168169966199815264461911375635869945018772058730672224939594709711305194041492611599936788377001781505968289868052276125000680793151460863
m: 10000000000000000000000000000000000000000
#  c168, diff: 201.11
skew: 0.967
deg: 5
c5: 13
c0: 11
# Murphy_E = 1.637e-11
type: snfs
lss: 1
rlim: 15700000
alim: 15700000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 15700000/15700000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 26850000)
Primes: RFBsize:1013012, AFBsize:1013876,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8573383 hash collisions in 62645993 relations (56681845 unique)
Msieve: matrix is 1844368 x 1844594 (521.0 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,15700000,15700000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.42 BogoMIPS (lpj=2830711)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830461)
Total of 4 processors activated (22644.16 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 25, 2008 03:47:48 UTC 2008 年 12 月 25 日 (木) 12 時 47 分 48 秒 (日本時間)
351e6300Ignacio SantosMay 13, 2011 12:55:02 UTC 2011 年 5 月 13 日 (金) 21 時 55 分 2 秒 (日本時間)
403e6110 / 2144Ignacio SantosMay 13, 2011 12:55:02 UTC 2011 年 5 月 13 日 (金) 21 時 55 分 2 秒 (日本時間)
4511e632 / 4441Ignacio SantosMay 13, 2011 12:55:02 UTC 2011 年 5 月 13 日 (金) 21 時 55 分 2 秒 (日本時間)

13×10203+113

c181

composite cofactor 合成数の残り
2712287548464838517369716889791634965619303800950206135286198775643165091523047575305731959147556235036157497566046691350680837191712985196918583447879474368041568056093174885189003<181>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 25, 2008 03:47:48 UTC 2008 年 12 月 25 日 (木) 12 時 47 分 48 秒 (日本時間)
351e6300Ignacio SantosMay 13, 2011 14:11:47 UTC 2011 年 5 月 13 日 (金) 23 時 11 分 47 秒 (日本時間)
403e61610110Ignacio SantosMay 13, 2011 14:11:47 UTC 2011 年 5 月 13 日 (金) 23 時 11 分 47 秒 (日本時間)
1500Dmitry DomanovAugust 30, 2013 16:24:55 UTC 2013 年 8 月 31 日 (土) 1 時 24 分 55 秒 (日本時間)
4511e61332 / 410932Ignacio SantosMay 13, 2011 14:11:47 UTC 2011 年 5 月 13 日 (金) 23 時 11 分 47 秒 (日本時間)
1000Dmitry DomanovSeptember 19, 2013 13:00:57 UTC 2013 年 9 月 19 日 (木) 22 時 0 分 57 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:20 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 20 秒 (日本時間)

13×10204+113

c163

composite cofactor 合成数の残り
1701755793593875478983701309301675951085493067862096674848461639192193260668795205098470943292347052025943087931708549984333601114496670612723196842136925015949617<163>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 25, 2008 03:47:48 UTC 2008 年 12 月 25 日 (木) 12 時 47 分 48 秒 (日本時間)
351e6300Ignacio SantosMay 13, 2011 15:24:51 UTC 2011 年 5 月 14 日 (土) 0 時 24 分 51 秒 (日本時間)
403e61610110Ignacio SantosMay 13, 2011 15:24:51 UTC 2011 年 5 月 14 日 (土) 0 時 24 分 51 秒 (日本時間)
1500Dmitry DomanovAugust 30, 2013 16:25:03 UTC 2013 年 8 月 31 日 (土) 1 時 25 分 3 秒 (日本時間)
4511e61332 / 410932Ignacio SantosMay 13, 2011 15:24:51 UTC 2011 年 5 月 14 日 (土) 0 時 24 分 51 秒 (日本時間)
1000Dmitry DomanovSeptember 18, 2013 15:41:51 UTC 2013 年 9 月 19 日 (木) 0 時 41 分 51 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:20 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 20 秒 (日本時間)

13×10206+113

c143

name 名前Maksym Voznyy
date 日付January 2, 2017 02:46:59 UTC 2017 年 1 月 2 日 (月) 11 時 46 分 59 秒 (日本時間)
composite number 合成数
38120476167675042930824455345445493803927968925940344148948554779781275822584342409864940564990965999251382061607027452914016138893024280430367<143>
prime factors 素因数
8023410228806523029258086509658917298190454379537622173<55>
4751156313908859995542034922610134349877357293424578433799674461656252243415445047551979<88>
factorization results 素因数分解の結果
Divisors found:
r1=8023410228806523029258086509658917298190454379537622173 (pp55)
r2=4751156313908859995542034922610134349877357293424578433799674461656252243415445047551979 (pp88)
Version: Msieve v. 1.51 (SVN 845)
Total time: 99.20 hours.
Factorization parameters were as follows:
# Murphy_E = 1.636e-11, selected by Maksym Voznyy
# selected by CADO-NFS-2.2.0
n: 38120476167675042930824455345445493803927968925940344148948554779781275822584342409864940564990965999251382061607027452914016138893024280430367
Y0: -3409206092695985634218353334
Y1: 38762765254512639461
c0: -140190463788453660730079389817460
c1: -913887081055001216598394949
c2: 9685947356187280876928
c3: -55458619629628093
c4: 610686649590
c5: 820800
skew: 227364.08173
type: gnfs
Factor base limits: 14300000/14300000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 24017442
Relations: 3366606 relations
Pruned matrix : 2114794 x 2115021
Polynomial selection time: 0.00 hours.
Total sieving time: 89.51 hours.
Total relation processing time: 0.33 hours.
Matrix solve time: 8.26 hours.
time per square root: 1.10 hours.
Prototype def-par.txt line would be: gnfs,142,5,65,2000,1e-05,0.28,250,20,50000,3600,14300000,14300000,28,28,56,56,2.5,2.5,100000
total time: 99.20 hours.
Intel64 Family 6 Model 15 Stepping 6, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.66GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 27, 2013 11:00:00 UTC 2013 年 7 月 27 日 (土) 20 時 0 分 0 秒 (日本時間)
403e62400Serge BatalovJuly 31, 2013 02:14:40 UTC 2013 年 7 月 31 日 (水) 11 時 14 分 40 秒 (日本時間)
4511e656152565Serge BatalovJuly 31, 2013 16:52:09 UTC 2013 年 8 月 1 日 (木) 1 時 52 分 9 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:09:44 UTC 2013 年 11 月 9 日 (土) 2 時 9 分 44 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:23:56 UTC 2014 年 1 月 6 日 (月) 11 時 23 分 56 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:35:43 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 43 秒 (日本時間)

13×10207+113

c187

name 名前Dmitry Domanov
date 日付August 8, 2013 05:35:31 UTC 2013 年 8 月 8 日 (木) 14 時 35 分 31 秒 (日本時間)
composite number 合成数
2715668085317310052569503466379697593008580847972581606582729765329728172816276629450302399811374223576501135709105150577370445303780131201095330972879397844240723892777917146294265710647<187>
prime factors 素因数
3549899483687479992360953317979<31>
composite cofactor 合成数の残り
764998585958944694586527839883004558119109303834354981062118312075261559371889684281966896924886256225744742315803711677714999049400014546321480660290193493<156>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1013001121
Step 1 took 25954ms
Step 2 took 8302ms
********** Factor found in step 2: 3549899483687479992360953317979
Found probable prime factor of 31 digits: 3549899483687479992360953317979

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 27, 2013 11:00:00 UTC 2013 年 7 月 27 日 (土) 20 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 30, 2013 16:25:25 UTC 2013 年 8 月 31 日 (土) 1 時 25 分 25 秒 (日本時間)
4511e61300 / 41431000Dmitry DomanovSeptember 1, 2013 22:30:07 UTC 2013 年 9 月 2 日 (月) 7 時 30 分 7 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:21 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 21 秒 (日本時間)

13×10209+113

c209

name 名前Serge Batalov
date 日付July 31, 2013 16:45:30 UTC 2013 年 8 月 1 日 (木) 1 時 45 分 30 秒 (日本時間)
composite number 合成数
10569105691056910569105691056910569105691056910569105691056910569105691056910569105691056910569105691056910569105691056910569105691056910569105691056910569105691056910569105691056910569105691056910569105691057<209>
prime factors 素因数
386947000094770359381447004396440653749<39>
27314091305704254897664129108274980744437627487999852773315725119152195617238611419005554535613852632779275579549783177656134798055637949546323195746995900446127343607693<170>
factorization results 素因数分解の結果
Step 1 took 66976ms
********** Factor found in step 1: 386947000094770359381447004396440653749
Found probable prime factor of 39 digits: 386947000094770359381447004396440653749
Probable prime cofactor 27314091305704254897664129108274980744437627487999852773315725119152195617238611419005554535613852632779275579549783177656134798055637949546323195746995900446127343607693 has 170 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 27, 2013 11:00:00 UTC 2013 年 7 月 27 日 (土) 20 時 0 分 0 秒 (日本時間)
403e60--
4511e62572 / 4475Serge BatalovJuly 31, 2013 16:45:12 UTC 2013 年 8 月 1 日 (木) 1 時 45 分 12 秒 (日本時間)

13×10211+113

c191

name 名前Dmitry Domanov
date 日付September 23, 2013 08:59:34 UTC 2013 年 9 月 23 日 (月) 17 時 59 分 34 秒 (日本時間)
composite number 合成数
26252093659763820938403128211503833474058212788115622851620112914929480667325096389969562298738931026625501686409790411540195156807261762678484241139660359956136452587263470295007276406253823<191>
prime factors 素因数
241754019215921931543058575876344523781<39>
108590102224181995169642125581006729328454835037568865728004530349485870046008723217477469710339023840858637765778166044934398237838811959418228654380083<153>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4191556306
Step 1 took 110273ms
Step 2 took 35502ms
********** Factor found in step 2: 241754019215921931543058575876344523781
Found probable prime factor of 39 digits: 241754019215921931543058575876344523781

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 27, 2013 11:00:00 UTC 2013 年 7 月 27 日 (土) 20 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 30, 2013 16:25:36 UTC 2013 年 8 月 31 日 (土) 1 時 25 分 36 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovSeptember 20, 2013 13:17:44 UTC 2013 年 9 月 20 日 (金) 22 時 17 分 44 秒 (日本時間)

13×10214+113

c184

name 名前Dmitry Domanov
date 日付September 20, 2013 04:55:54 UTC 2013 年 9 月 20 日 (金) 13 時 55 分 54 秒 (日本時間)
composite number 合成数
1792786699831918542878645169808665512042807199132368565425261594532021481177852833026197535377349462403436455321481389134566195959642983716240898986162565655750583611663864176272995089<184>
prime factors 素因数
13961317440546655588405174561738754633347<41>
composite cofactor 合成数の残り
128410997562828995703162054064659134220248297227412054243573023251141332628117417878125946870130841924965444902799978701043380138599635376333787<144>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3695280109
Step 1 took 86452ms
Step 2 took 25807ms
********** Factor found in step 2: 13961317440546655588405174561738754633347
Found probable prime factor of 41 digits: 13961317440546655588405174561738754633347

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 27, 2013 11:00:00 UTC 2013 年 7 月 27 日 (土) 20 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 30, 2013 16:25:46 UTC 2013 年 8 月 31 日 (土) 1 時 25 分 46 秒 (日本時間)
4511e641431000Dmitry DomanovSeptember 19, 2013 13:01:28 UTC 2013 年 9 月 19 日 (木) 22 時 1 分 28 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:09:49 UTC 2013 年 11 月 9 日 (土) 2 時 9 分 49 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:24:01 UTC 2014 年 1 月 6 日 (月) 11 時 24 分 1 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:35:46 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 46 秒 (日本時間)
93KTakahashiMay 26, 2014 10:44:11 UTC 2014 年 5 月 26 日 (月) 19 時 44 分 11 秒 (日本時間)

13×10215+113

c173

composite cofactor 合成数の残り
99929103990841679316582597003629143693824474691403630663112541730541404305510103451054548557802412367834213476025000009555313159883581247647910681424948161689358076216147163<173>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 27, 2013 11:00:00 UTC 2013 年 7 月 27 日 (土) 20 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 30, 2013 16:25:56 UTC 2013 年 8 月 31 日 (土) 1 時 25 分 56 秒 (日本時間)
4511e61300 / 41431000Dmitry DomanovSeptember 18, 2013 15:42:45 UTC 2013 年 9 月 19 日 (木) 0 時 42 分 45 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:21 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 21 秒 (日本時間)

13×10216+113

c170

composite cofactor 合成数の残り
22911621355944751064266594747421957832953696970104959809881027305064777207084947597575372819871978567092634369384914770078353278717140756823193252627790864001346612059857<170>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 27, 2013 11:00:00 UTC 2013 年 7 月 27 日 (土) 20 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 30, 2013 16:26:06 UTC 2013 年 8 月 31 日 (土) 1 時 26 分 6 秒 (日本時間)
4511e61300 / 41431000Dmitry DomanovSeptember 18, 2013 15:42:31 UTC 2013 年 9 月 19 日 (木) 0 時 42 分 31 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:22 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 22 秒 (日本時間)

13×10217+113

c184

name 名前Dmitry Domanov
date 日付August 8, 2013 05:34:15 UTC 2013 年 8 月 8 日 (木) 14 時 34 分 15 秒 (日本時間)
composite number 合成数
5752191993298353987817303862306376121737553171501115635392731150074934900463749899801659664577282119226068306211527641117673983428763787625753691698201970501151624467430421147699356181<184>
prime factors 素因数
109018846869907472565241627<27>
composite cofactor 合成数の残り
52763280464362850023310909127391324864818268224931416464904446786458325461086666276782071051403222170239988505463978902065463308810874751436776072516356021903<158>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=960979188
Step 1 took 28829ms
Step 2 took 9159ms
********** Factor found in step 2: 109018846869907472565241627
Found probable prime factor of 27 digits: 109018846869907472565241627

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 27, 2013 11:00:00 UTC 2013 年 7 月 27 日 (土) 20 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 30, 2013 16:26:14 UTC 2013 年 8 月 31 日 (土) 1 時 26 分 14 秒 (日本時間)
4511e61800 / 41431500Dmitry DomanovSeptember 18, 2013 15:43:13 UTC 2013 年 9 月 19 日 (木) 0 時 43 分 13 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:22 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 22 秒 (日本時間)

13×10218+113

c218

name 名前Serge Batalov
date 日付July 30, 2013 02:47:27 UTC 2013 年 7 月 30 日 (火) 11 時 47 分 27 秒 (日本時間)
composite number 合成数
22807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649123<218>
prime factors 素因数
550080161629482655189387899452149<33>
41461261711928025728018315998530460773678416285028830388346642389147362878289964461997266916326421200143180209219961556443337764789967028394112746061758637575186687726917657214159943927<185>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1168011453
Step 1 took 21293ms
Step 2 took 7941ms
********** Factor found in step 2: 550080161629482655189387899452149
Found probable prime factor of 33 digits: 550080161629482655189387899452149
Probable prime cofactor has 185 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 27, 2013 11:00:00 UTC 2013 年 7 月 27 日 (土) 20 時 0 分 0 秒 (日本時間)

13×10219+113

c196

name 名前Dmitry Domanov
date 日付August 8, 2013 05:37:54 UTC 2013 年 8 月 8 日 (木) 14 時 37 分 54 秒 (日本時間)
composite number 合成数
2562812215647325168051075324806527730852307092308923099729748000747411452522997726022839821203110120026714125652337885703645971943050398039813813357946517634052700432473298517858409860846340858159<196>
prime factors 素因数
18508090031032899768328860983899<32>
138469837317097798079260258482582803598047730127722897859812526281208975752806711597983563738014296788409470277662834496946749528758916852337869898064131556761111741<165>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1825447665
Step 1 took 27936ms
Step 2 took 8939ms
********** Factor found in step 2: 18508090031032899768328860983899
Found probable prime factor of 32 digits: 18508090031032899768328860983899

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 27, 2013 11:00:00 UTC 2013 年 7 月 27 日 (土) 20 時 0 分 0 秒 (日本時間)

13×10220+113

c207

composite cofactor 合成数の残り
317185554251871500911982095789423111585247146016941652436737337883708368069727946321855622878637349010844371840161546714159541861424369390554723227860751759367132106810638779511113833386787518901891908332261<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 27, 2013 11:00:00 UTC 2013 年 7 月 27 日 (土) 20 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 30, 2013 16:26:23 UTC 2013 年 8 月 31 日 (土) 1 時 26 分 23 秒 (日本時間)
4511e61800 / 41431500Dmitry DomanovSeptember 20, 2013 13:18:00 UTC 2013 年 9 月 20 日 (金) 22 時 18 分 0 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:23 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 23 秒 (日本時間)

13×10221+113

c211

name 名前Dmitry Domanov
date 日付August 8, 2013 05:21:33 UTC 2013 年 8 月 8 日 (木) 14 時 21 分 33 秒 (日本時間)
composite number 合成数
2196662525391624986235897008817680421689425490641558500290995920683583868000730526327313172407111429508967560196992802723536318640263480318626970400702585209860149752386044667024783181427297291133700184764765369<211>
prime factors 素因数
8334096494629442916862099532969<31>
17519464047557730764510475224927<32>
composite cofactor 合成数の残り
15044716223592382711599878656484331450594974438630564007991616296603160948702520779544294658713507504257008348092052157441943289510826024281303739663<149>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3622026528
Step 1 took 26743ms
Step 2 took 10333ms
********** Factor found in step 2: 8334096494629442916862099532969
Found probable prime factor of 31 digits: 8334096494629442916862099532969

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1014430078
Step 1 took 22870ms
Step 2 took 8901ms
********** Factor found in step 2: 17519464047557730764510475224927
Found probable prime factor of 32 digits: 17519464047557730764510475224927

c149

name 名前Serge Batalov
date 日付November 8, 2013 03:13:42 UTC 2013 年 11 月 8 日 (金) 12 時 13 分 42 秒 (日本時間)
composite number 合成数
15044716223592382711599878656484331450594974438630564007991616296603160948702520779544294658713507504257008348092052157441943289510826024281303739663<149>
prime factors 素因数
435229224841971470665847053752441453731397419<45>
34567339151122051789253314552780465965524848330098390863237905724283006519965174986519021838309161973677<104>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1667873094
Step 1 took 36031ms
Step 2 took 16018ms
********** Factor found in step 2: 435229224841971470665847053752441453731397419
Found probable prime factor of 45 digits: 435229224841971470665847053752441453731397419
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaJuly 27, 2013 11:00:00 UTC 2013 年 7 月 27 日 (土) 20 時 0 分 0 秒 (日本時間)
800JPascoaAugust 21, 2013 13:02:18 UTC 2013 年 8 月 21 日 (水) 22 時 2 分 18 秒 (日本時間)
403e62200JPascoaAugust 21, 2013 14:04:54 UTC 2013 年 8 月 21 日 (水) 23 時 4 分 54 秒 (日本時間)
4511e61500 / 3952Dmitry DomanovSeptember 18, 2013 15:43:37 UTC 2013 年 9 月 19 日 (木) 0 時 43 分 37 秒 (日本時間)

13×10222+113

c198

composite cofactor 合成数の残り
135549556995863080372476582172365095863534052278031020635041326091118247998877212655660247516473389199880442770148815801511715092599643344058348869826462151738157251491946929036667043825839617885503<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 27, 2013 11:00:00 UTC 2013 年 7 月 27 日 (土) 20 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 30, 2013 16:26:41 UTC 2013 年 8 月 31 日 (土) 1 時 26 分 41 秒 (日本時間)
4511e61800 / 41431500Dmitry DomanovSeptember 20, 2013 13:18:17 UTC 2013 年 9 月 20 日 (金) 22 時 18 分 17 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:23 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 23 秒 (日本時間)

13×10223+113

c187

name 名前Dmitry Domanov
date 日付August 8, 2013 05:33:44 UTC 2013 年 8 月 8 日 (木) 14 時 33 分 44 秒 (日本時間)
composite number 合成数
1717161945586001129561027104302285487062585854813249525987466068006375631983458549890529525570250132951032493641565805104649375213162777570599349660714157183165624808156480245265288665931<187>
prime factors 素因数
110938237841405916452867290284735851<36>
15478539942565213505552930353250447863045962070419772357877366719157211229339632100653667346541956848311894349454433721767480495250696866370795397362081<152>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2922501706
Step 1 took 30595ms
Step 2 took 10738ms
********** Factor found in step 2: 110938237841405916452867290284735851
Found probable prime factor of 36 digits: 110938237841405916452867290284735851

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 27, 2013 11:00:00 UTC 2013 年 7 月 27 日 (土) 20 時 0 分 0 秒 (日本時間)

13×10225+113

c188

composite cofactor 合成数の残り
23308391349271534453555921875781164964043791354929145466303123254572237417654443484203009359817810715737020050447748512253260174685480162660235064587558678453093964007633059201684463995287<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 27, 2013 11:00:00 UTC 2013 年 7 月 27 日 (土) 20 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 30, 2013 16:26:49 UTC 2013 年 8 月 31 日 (土) 1 時 26 分 49 秒 (日本時間)
4511e61300 / 41431000Dmitry DomanovSeptember 19, 2013 13:02:03 UTC 2013 年 9 月 19 日 (木) 22 時 2 分 3 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:23 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 23 秒 (日本時間)

13×10226+113

c221

composite cofactor 合成数の残り
98288049004909110016837498856456352923653623842563715227767432330568414908633697830782758461655941928396400238008290974964521794618804923172768464355082966454288874624520751253361640291446747157018182533003992762975345577<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 27, 2013 11:00:00 UTC 2013 年 7 月 27 日 (土) 20 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 30, 2013 16:26:58 UTC 2013 年 8 月 31 日 (土) 1 時 26 分 58 秒 (日本時間)
4511e61800 / 41431500Dmitry DomanovSeptember 20, 2013 13:18:33 UTC 2013 年 9 月 20 日 (金) 22 時 18 分 33 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:24 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 24 秒 (日本時間)

13×10228+113

c214

name 名前Dmitry Domanov
date 日付August 8, 2013 05:22:32 UTC 2013 年 8 月 8 日 (木) 14 時 22 分 32 秒 (日本時間)
composite number 合成数
1040412760229310763322043900698491058438770665794200473088136666288481932478015607007973320251411816919169483215267181628875158801809974126432501053537925205034075376283618180730651241345990913542659533337338150141<214>
prime factors 素因数
10162661270787201559673744639<29>
102376014757079491328169459664895618881054770598096906007891532243320615759130879642425848056033799238211144767936658018400497732915684317916030476969639098702319013344315712688826518019<186>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2390269756
Step 1 took 31091ms
Step 2 took 11126ms
********** Factor found in step 2: 10162661270787201559673744639
Found probable prime factor of 29 digits: 10162661270787201559673744639

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 27, 2013 11:00:00 UTC 2013 年 7 月 27 日 (土) 20 時 0 分 0 秒 (日本時間)

13×10230+113

c206

name 名前Dmitry Domanov
date 日付August 8, 2013 05:22:59 UTC 2013 年 8 月 8 日 (木) 14 時 22 分 59 秒 (日本時間)
composite number 合成数
83724109763095362832760617039754992546989245056971780946697167016612831387880843980013634984942983088299028718756136261450527802574628474003541491169135224668638921181131177613701411172148044096900700871671<206>
prime factors 素因数
143749227595614037119746852177125781<36>
composite cofactor 合成数の残り
582431719206329055318566460659978268031813344075706664643623975018646849036012589940591702731852004178298485633316002900408441367865216934671798682207563154463708950297691<171>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1002669902
Step 1 took 26845ms
Step 2 took 10289ms
********** Factor found in step 2: 143749227595614037119746852177125781
Found probable prime factor of 36 digits: 143749227595614037119746852177125781

c171

name 名前Dmitry Domanov
date 日付August 12, 2013 07:32:39 UTC 2013 年 8 月 12 日 (月) 16 時 32 分 39 秒 (日本時間)
composite number 合成数
582431719206329055318566460659978268031813344075706664643623975018646849036012589940591702731852004178298485633316002900408441367865216934671798682207563154463708950297691<171>
prime factors 素因数
40039852834180045891154153166221653<35>
composite cofactor 合成数の残り
14546300197915209293859338719563851116561502246557808772423868588653613628927494043537641008749800416359089107994147417935760652267960047<137>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3628252550
Step 1 took 19884ms
Step 2 took 8211ms
********** Factor found in step 2: 40039852834180045891154153166221653
Found probable prime factor of 35 digits: 40039852834180045891154153166221653

c137

name 名前Erik Branger
date 日付December 7, 2014 17:21:20 UTC 2014 年 12 月 8 日 (月) 2 時 21 分 20 秒 (日本時間)
composite number 合成数
14546300197915209293859338719563851116561502246557808772423868588653613628927494043537641008749800416359089107994147417935760652267960047<137>
prime factors 素因数
763963480301812505341883668897715834443415170232643296142427<60>
19040570096581746459755183481737575321225205257828754002734042871935851736061<77>
factorization results 素因数分解の結果
Number: 43337_230
N = 14546300197915209293859338719563851116561502246557808772423868588653613628927494043537641008749800416359089107994147417935760652267960047 (137 digits)
Divisors found:
r1=763963480301812505341883668897715834443415170232643296142427 (pp60)
r2=19040570096581746459755183481737575321225205257828754002734042871935851736061 (pp77)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 117.13 hours.
Factorization parameters were as follows:
# Murphy_E = 3.486e-11, selected by Erik Branger
# expecting poly E from 3.51e-011 to > 4.04e-011
n: 14546300197915209293859338719563851116561502246557808772423868588653613628927494043537641008749800416359089107994147417935760652267960047
Y0: -304903658129282662704859729
Y1: 249042516095503
c0: 316743792350284626722789092005216
c1: 2906921742483912958436421992
c2: -1862639126453539573656
c3: -9913831573450842
c4: 4571087735
c5: 5520
skew: 805713.75
type: gnfs
# selected mechanically
rlim: 14400000
alim: 14400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 14400000/14400000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 22562137
Relations: 3616808 relations
Pruned matrix : 2179169 x 2179394
Polynomial selection time: 0.00 hours.
Total sieving time: 113.74 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 3.18 hours.
time per square root: 0.09 hours.
Prototype def-par.txt line would be: gnfs,136,5,65,2000,1e-05,0.28,250,20,50000,3600,14400000,14400000,28,28,55,55,2.6,2.6,100000
total time: 117.13 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaJuly 27, 2013 11:00:00 UTC 2013 年 7 月 27 日 (土) 20 時 0 分 0 秒 (日本時間)
800JPascoaAugust 21, 2013 12:52:11 UTC 2013 年 8 月 21 日 (水) 21 時 52 分 11 秒 (日本時間)
403e61500Dmitry DomanovAugust 30, 2013 16:27:10 UTC 2013 年 8 月 31 日 (土) 1 時 27 分 10 秒 (日本時間)
4511e649001000Dmitry DomanovSeptember 18, 2013 15:43:54 UTC 2013 年 9 月 19 日 (木) 0 時 43 分 54 秒 (日本時間)
850Serge BatalovNovember 8, 2013 01:45:37 UTC 2013 年 11 月 8 日 (金) 10 時 45 分 37 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:08:44 UTC 2013 年 11 月 9 日 (土) 2 時 8 分 44 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:23:04 UTC 2014 年 1 月 6 日 (月) 11 時 23 分 4 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:35:07 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 7 秒 (日本時間)

13×10232+113

c219

name 名前Dmitry Domanov
date 日付August 8, 2013 12:36:24 UTC 2013 年 8 月 8 日 (木) 21 時 36 分 24 秒 (日本時間)
composite number 合成数
181618714499473625245490001220551260197118750824899241390457640709481283123410093654698885912876580550490159454518136101758489570643504753288762023918298575940686884053729547397180166189263504354215284628202785195177717<219>
prime factors 素因数
11646938144077708813232472820306387003<38>
composite cofactor 合成数の残り
15593687564299805582529785059494919451615972896000204901720687673476840526624240326296705876864584545278377530218583781255550436391033605457965762538156384909743302698249149244228239<182>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1269101939
Step 1 took 30532ms
Step 2 took 11106ms
********** Factor found in step 2: 11646938144077708813232472820306387003
Found probable prime factor of 38 digits: 11646938144077708813232472820306387003

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 27, 2013 11:00:00 UTC 2013 年 7 月 27 日 (土) 20 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 30, 2013 16:27:20 UTC 2013 年 8 月 31 日 (土) 1 時 27 分 20 秒 (日本時間)
4511e61300 / 41431000Dmitry DomanovSeptember 19, 2013 13:02:23 UTC 2013 年 9 月 19 日 (木) 22 時 2 分 23 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:24 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 24 秒 (日本時間)

13×10234+113

c150

name 名前Serge Batalov
date 日付July 31, 2013 16:46:40 UTC 2013 年 8 月 1 日 (木) 1 時 46 分 40 秒 (日本時間)
composite number 合成数
143769127823914906103525696648888062176978867339956120860855546105661054997595502457146361188680805303072627078508953150663777025280532382472118923739<150>
prime factors 素因数
6541540207710886413064277360913175124623<40>
21977871152491891442583910173849399897148099286358052915395937630917948406050510675550094075277801675923720693<110>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=426372130
Step 1 took 38230ms
Step 2 took 17065ms
********** Factor found in step 2: 6541540207710886413064277360913175124623
Found probable prime factor of 40 digits: 6541540207710886413064277360913175124623
Probable prime cofactor 21977871152491891442583910173849399897148099286358052915395937630917948406050510675550094075277801675923720693 has 110 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 27, 2013 11:00:00 UTC 2013 年 7 月 27 日 (土) 20 時 0 分 0 秒 (日本時間)
403e62400Serge BatalovJuly 31, 2013 02:14:04 UTC 2013 年 7 月 31 日 (水) 11 時 14 分 4 秒 (日本時間)

13×10235+113

c204

composite cofactor 合成数の残り
513209515023756809186851279323248273927652010872221064966552605127490891436426895142999138701564928236825914265280002996288191056339902038539429931906747927457973915795893353411278964717425518723224891069<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 27, 2013 11:00:00 UTC 2013 年 7 月 27 日 (土) 20 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 30, 2013 16:28:08 UTC 2013 年 8 月 31 日 (土) 1 時 28 分 8 秒 (日本時間)
4511e61800 / 41431500Dmitry DomanovSeptember 23, 2013 09:39:42 UTC 2013 年 9 月 23 日 (月) 18 時 39 分 42 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:25 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 25 秒 (日本時間)

13×10236+113

c221

composite cofactor 合成数の残り
21388129150181606351123048620007097434669691292683431872718532211781977436116464434878529738032589897665809602517410928460190952658914537584121629486924123036791266450762580263232415193539076041481149465388919283323902097<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 27, 2013 11:00:00 UTC 2013 年 7 月 27 日 (土) 20 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 30, 2013 16:28:16 UTC 2013 年 8 月 31 日 (土) 1 時 28 分 16 秒 (日本時間)
4511e61800 / 41431500Dmitry DomanovSeptember 23, 2013 09:40:03 UTC 2013 年 9 月 23 日 (月) 18 時 40 分 3 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:25 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 25 秒 (日本時間)

13×10237+113

c174

name 名前Dmitry Domanov
date 日付August 8, 2013 05:37:26 UTC 2013 年 8 月 8 日 (木) 14 時 37 分 26 秒 (日本時間)
composite number 合成数
674438508411938178294290984572923459791069702650312711580957843955350377720531509549158393714526595988475061057537490319226383362465259791953456952941989383468880195396610097<174>
prime factors 素因数
275013902048147910487325413316489<33>
composite cofactor 合成数の残り
2452379692041390767223641801950702257053076680150485472716120802690300787766868420504194776331282934623405012419032985416903211875371608717673<142>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1401894948
Step 1 took 26382ms
Step 2 took 7947ms
********** Factor found in step 2: 275013902048147910487325413316489
Found probable prime factor of 33 digits: 275013902048147910487325413316489

c142

name 名前Erik Branger
date 日付February 19, 2017 20:53:46 UTC 2017 年 2 月 20 日 (月) 5 時 53 分 46 秒 (日本時間)
composite number 合成数
2452379692041390767223641801950702257053076680150485472716120802690300787766868420504194776331282934623405012419032985416903211875371608717673<142>
prime factors 素因数
94548520722424900286674903664982407379687418696697953<53>
25937790176972471752784793383611005735309772822468109260252451923847525938317394864287241<89>
factorization results 素因数分解の結果
Number: 43337_237
N = 2452379692041390767223641801950702257053076680150485472716120802690300787766868420504194776331282934623405012419032985416903211875371608717673 (142 digits)
Divisors found:
r1=94548520722424900286674903664982407379687418696697953 (pp53)
r2=25937790176972471752784793383611005735309772822468109260252451923847525938317394864287241 (pp89)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 223.21 hours.
Factorization parameters were as follows:
# Murphy_E = 1.76277843e-11, selected by Maksym Voznyy
# selected by CADO-NFS
n: 2452379692041390767223641801950702257053076680150485472716120802690300787766868420504194776331282934623405012419032985416903211875371608717673
Y0: -4679514036016368809474153602
Y1: 31562046843074619421
c0: 10830932098641954425491353058529100
c1: -102255569445503206265477663201
c2: -19149156067914018713496
c3: 50264886469589475
c4: 3489711742
c5: 2160
skew: 1990144.65284
type: gnfs
# selected mechanically
rlim: 19900000
alim: 19900000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19900000/19900000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23006793
Relations: 4099834 relations
Pruned matrix : 2523354 x 2523583
Polynomial selection time: 0.00 hours.
Total sieving time: 220.48 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 2.43 hours.
time per square root: 0.14 hours.
Prototype def-par.txt line would be: gnfs,141,5,65,2000,1e-05,0.28,250,20,50000,3600,19900000,19900000,28,28,56,56,2.6,2.6,100000
total time: 223.21 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-8-6.2.9200
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJuly 27, 2013 11:00:00 UTC 2013 年 7 月 27 日 (土) 20 時 0 分 0 秒 (日本時間)
786JPascoaAugust 21, 2013 12:22:54 UTC 2013 年 8 月 21 日 (水) 21 時 22 分 54 秒 (日本時間)
403e61500Dmitry DomanovAugust 30, 2013 16:28:25 UTC 2013 年 8 月 31 日 (土) 1 時 28 分 25 秒 (日本時間)
4511e645501500Dmitry DomanovSeptember 18, 2013 15:44:15 UTC 2013 年 9 月 19 日 (木) 0 時 44 分 15 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:09:35 UTC 2013 年 11 月 9 日 (土) 2 時 9 分 35 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:23:47 UTC 2014 年 1 月 6 日 (月) 11 時 23 分 47 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:35:34 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 34 秒 (日本時間)

13×10238+113

c212

name 名前Dmitry Domanov
date 日付August 8, 2013 05:22:01 UTC 2013 年 8 月 8 日 (木) 14 時 22 分 1 秒 (日本時間)
composite number 合成数
10144575117124599574001350050634076398383116755956327857792139509830633431661275827274157400027718344059731590847032598069588265339908386544092434524848176145682142186488661559253220876571747411997860265496611353<212>
prime factors 素因数
2784807118787869763195432787236467<34>
composite cofactor 合成数の残り
3642828635665145207898132999038798398589443348973806768359115043976962075522724839710230861358418460590367435252450931151367300440338921904721541925406545216348739771057946619459<178>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3746306389
Step 1 took 26630ms
Step 2 took 10699ms
********** Factor found in step 2: 2784807118787869763195432787236467
Found probable prime factor of 34 digits: 2784807118787869763195432787236467

c178

name 名前Dmitry Domanov
date 日付September 20, 2013 04:57:41 UTC 2013 年 9 月 20 日 (金) 13 時 57 分 41 秒 (日本時間)
composite number 合成数
3642828635665145207898132999038798398589443348973806768359115043976962075522724839710230861358418460590367435252450931151367300440338921904721541925406545216348739771057946619459<178>
prime factors 素因数
228622930450743710517154190251520034461<39>
composite cofactor 合成数の残り
15933785069078993096968172231917716233051467513352441073607319421854123609001032727723739539570290212492721146901945799637072674613701722719<140>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2570889286
Step 1 took 79296ms
Step 2 took 28137ms
********** Factor found in step 2: 228622930450743710517154190251520034461
Found probable prime factor of 39 digits: 228622930450743710517154190251520034461

c140

name 名前Erik Branger
date 日付January 28, 2016 17:48:52 UTC 2016 年 1 月 29 日 (金) 2 時 48 分 52 秒 (日本時間)
composite number 合成数
15933785069078993096968172231917716233051467513352441073607319421854123609001032727723739539570290212492721146901945799637072674613701722719<140>
prime factors 素因数
31903104953731797874504603095537218854656581278379143312967873371<65>
499443082176086828328207082145225713540908302637395096652723886454875123789<75>
factorization results 素因数分解の結果
Number: 43337_238
N = 15933785069078993096968172231917716233051467513352441073607319421854123609001032727723739539570290212492721146901945799637072674613701722719 (140 digits)
Divisors found:
r1=31903104953731797874504603095537218854656581278379143312967873371 (pp65)
r2=499443082176086828328207082145225713540908302637395096652723886454875123789 (pp75)
Version: Msieve v. 1.51 (SVN 845)
Total time: 427.33 hours.
Factorization parameters were as follows:
# Murphy_E = 2.202e-11, selected by Erik Branger
# expecting poly E from 2.30e-011 to > 2.64e-011
n: 15933785069078993096968172231917716233051467513352441073607319421854123609001032727723739539570290212492721146901945799637072674613701722719
Y0: -1060475161439566373324394247
Y1: 48034245543883
c0: 509654699676291621330329465840760
c1: 28503338007182914170010495806
c2: -5539909376384091001627
c3: -230768475918749110
c4: 5809149816
c5: 11880
skew: 1088228.85
type: gnfs
# selected mechanically
rlim: 17400000
alim: 17400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 17400000/17400000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23090570
Relations: 3347198 relations
Pruned matrix : 2092883 x 2093108
Polynomial selection time: 0.00 hours.
Total sieving time: 421.35 hours.
Total relation processing time: 0.34 hours.
Matrix solve time: 5.28 hours.
time per square root: 0.36 hours.
Prototype def-par.txt line would be: gnfs,139,5,65,2000,1e-05,0.28,250,20,50000,3600,17400000,17400000,28,28,55,55,2.6,2.6,100000
total time: 427.33 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 8, speed: 2.29GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 27, 2013 11:00:00 UTC 2013 年 7 月 27 日 (土) 20 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 30, 2013 16:28:39 UTC 2013 年 8 月 31 日 (土) 1 時 28 分 39 秒 (日本時間)
4511e649001000Dmitry DomanovSeptember 19, 2013 13:02:50 UTC 2013 年 9 月 19 日 (木) 22 時 2 分 50 秒 (日本時間)
850Serge BatalovNovember 8, 2013 01:46:03 UTC 2013 年 11 月 8 日 (金) 10 時 46 分 3 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:09:10 UTC 2013 年 11 月 9 日 (土) 2 時 9 分 10 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:23:20 UTC 2014 年 1 月 6 日 (月) 11 時 23 分 20 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:35:15 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 15 秒 (日本時間)

13×10239+113

c202

composite cofactor 合成数の残り
2108872829861211861057956754258701845996469632130056320418169312818695800492851018358880480127502412650576463727907897800477230495619462043268700093452662906780286229944857735553238749807509824720417103<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 27, 2013 11:00:00 UTC 2013 年 7 月 27 日 (土) 20 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovAugust 30, 2013 16:28:48 UTC 2013 年 8 月 31 日 (土) 1 時 28 分 48 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:44:03 UTC 2014 年 1 月 9 日 (木) 13 時 44 分 3 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:13 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 13 秒 (日本時間)

13×10242+113

c238

composite cofactor 合成数の残り
4020125366063338621344391770494135255571739137157400277697890671144467843635677684902573807955518859026573028669678668287086429602966234039329195696610415835583057336264932446431829497206012870585979658165647719506575997377641299675606807<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 27, 2013 11:00:00 UTC 2013 年 7 月 27 日 (土) 20 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 30, 2013 16:28:58 UTC 2013 年 8 月 31 日 (土) 1 時 28 分 58 秒 (日本時間)
4511e62050850Serge BatalovNovember 8, 2013 17:17:34 UTC 2013 年 11 月 9 日 (土) 2 時 17 分 34 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:30:04 UTC 2014 年 1 月 6 日 (月) 11 時 30 分 4 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:24:56 UTC 2014 年 2 月 24 日 (月) 4 時 24 分 56 秒 (日本時間)
5043e6600 / 7036Dmitry DomanovMay 13, 2014 09:04:06 UTC 2014 年 5 月 13 日 (火) 18 時 4 分 6 秒 (日本時間)

13×10243+113

c200

composite cofactor 合成数の残り
17167498455389320183874619806100278108136447186299652955459179859546409990443436791757007218059470458713876529035626949387921596809467793480615415093360814112901898382807707202321284834672151030614639<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 27, 2013 11:00:00 UTC 2013 年 7 月 27 日 (土) 20 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovAugust 30, 2013 16:29:07 UTC 2013 年 8 月 31 日 (土) 1 時 29 分 7 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:44:04 UTC 2014 年 1 月 9 日 (木) 13 時 44 分 4 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:14 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 14 秒 (日本時間)

13×10244+113

c212

composite cofactor 合成数の残り
29198623947377038974721628728660284844610178306303754565990155511269822185697086148651475047088130943449655366039283910808158875021150628473155210219292571789021894878545994619939272079901541980764836873100352877<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 27, 2013 11:00:00 UTC 2013 年 7 月 27 日 (土) 20 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovAugust 30, 2013 16:29:17 UTC 2013 年 8 月 31 日 (土) 1 時 29 分 17 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:44:05 UTC 2014 年 1 月 9 日 (木) 13 時 44 分 5 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:14 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 14 秒 (日本時間)

13×10245+113

c194

name 名前Dmitry Domanov
date 日付August 8, 2013 05:36:33 UTC 2013 年 8 月 8 日 (木) 14 時 36 分 33 秒 (日本時間)
composite number 合成数
95320417698072797924940888887006556369957199692304946095801893911977302810973855992635936573430103806326717417480352048730152427015205951495780280006547578146141630335268668988506903321783685449<194>
prime factors 素因数
7114993131159028289843785972990772327<37>
composite cofactor 合成数の残り
13397120129411165951824004725736040367410878656648845808931377676111211563360705943917225426871927537515062155621286034671207107592828001773238261361849659087<158>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=439945134
Step 1 took 26151ms
Step 2 took 10909ms
********** Factor found in step 2: 7114993131159028289843785972990772327
Found probable prime factor of 37 digits: 7114993131159028289843785972990772327

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJuly 27, 2013 11:00:00 UTC 2013 年 7 月 27 日 (土) 20 時 0 分 0 秒 (日本時間)
300Ignacio SantosAugust 29, 2013 12:50:24 UTC 2013 年 8 月 29 日 (木) 21 時 50 分 24 秒 (日本時間)
403e61610110Ignacio SantosAugust 29, 2013 12:50:24 UTC 2013 年 8 月 29 日 (木) 21 時 50 分 24 秒 (日本時間)
1500Dmitry DomanovAugust 30, 2013 16:29:28 UTC 2013 年 8 月 31 日 (土) 1 時 29 分 28 秒 (日本時間)
4511e6411032Ignacio SantosAugust 29, 2013 12:50:24 UTC 2013 年 8 月 29 日 (木) 21 時 50 分 24 秒 (日本時間)
1500Dmitry DomanovSeptember 19, 2013 13:03:09 UTC 2013 年 9 月 19 日 (木) 22 時 3 分 9 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:12:22 UTC 2013 年 11 月 9 日 (土) 2 時 12 分 22 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:26:13 UTC 2014 年 1 月 6 日 (月) 11 時 26 分 13 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:05 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 5 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:25 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 25 秒 (日本時間)
128Ignacio SantosDecember 22, 2015 20:47:58 UTC 2015 年 12 月 23 日 (水) 5 時 47 分 58 秒 (日本時間)

13×10246+113

c247

name 名前Serge Batalov
date 日付July 30, 2013 02:36:30 UTC 2013 年 7 月 30 日 (火) 11 時 36 分 30 秒 (日本時間)
composite number 合成数
4333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333337<247>
prime factors 素因数
8404971223802325901269385416457835950309<40>
composite cofactor 合成数の残り
515567896420825122933551020549713289961845806394479311169010522405591915992784345747092509037655730985930193420083016311481519728395778310682717471171307403266134748400053882783752094847855174276637602459493<207>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2109354653
Step 1 took 89994ms
Step 2 took 29630ms
********** Factor found in step 2: 8404971223802325901269385416457835950309
Found probable prime factor of 40 digits: 8404971223802325901269385416457835950309
Composite cofactor has 207 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 27, 2013 11:00:00 UTC 2013 年 7 月 27 日 (土) 20 時 0 分 0 秒 (日本時間)
403e63100800Serge BatalovJuly 30, 2013 01:21:17 UTC 2013 年 7 月 30 日 (火) 10 時 21 分 17 秒 (日本時間)
800Serge BatalovJuly 30, 2013 01:55:12 UTC 2013 年 7 月 30 日 (火) 10 時 55 分 12 秒 (日本時間)
1500Dmitry DomanovAugust 30, 2013 16:29:42 UTC 2013 年 8 月 31 日 (土) 1 時 29 分 42 秒 (日本時間)
4511e6350 / 379050Serge BatalovJuly 30, 2013 02:36:04 UTC 2013 年 7 月 30 日 (火) 11 時 36 分 4 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:26 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 26 秒 (日本時間)

13×10248+113

c239

composite cofactor 合成数の残り
35346918990764255170594871967491088180277227619818789615567740796641751132737609787054221530064437545614605877065512801255829504320487066370122014893488539391331366261466953569744784721565099773445475274138331590972353483742288570924720209<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 27, 2013 11:00:00 UTC 2013 年 7 月 27 日 (土) 20 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 30, 2013 16:29:52 UTC 2013 年 8 月 31 日 (土) 1 時 29 分 52 秒 (日本時間)
4511e61800 / 41431500Dmitry DomanovSeptember 23, 2013 09:40:24 UTC 2013 年 9 月 23 日 (月) 18 時 40 分 24 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:26 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 26 秒 (日本時間)

13×10250+113

c222

name 名前Dmitry Domanov
date 日付August 8, 2013 09:44:55 UTC 2013 年 8 月 8 日 (木) 18 時 44 分 55 秒 (日本時間)
composite number 合成数
525866362170725461238779180199803563871681239750863729046304789973499651119373647443225377270145344191712721237864186885031558807749797856492015342159790038748401482108470727482573101646462896194789878871751789394880876413<222>
prime factors 素因数
282864198766220451794414763131203321243<39>
composite cofactor 合成数の残り
1859077127697378459093048423588382902676320021495623547326820924305140843542996130465987575235203757347941730243909273900818466001039852313121043518668268905631573316206437572168533191<184>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4109009937
Step 1 took 30547ms
********** Factor found in step 1: 282864198766220451794414763131203321243
Found probable prime factor of 39 digits: 282864198766220451794414763131203321243

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 27, 2013 11:00:00 UTC 2013 年 7 月 27 日 (土) 20 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 30, 2013 10:49:44 UTC 2013 年 8 月 30 日 (金) 19 時 49 分 44 秒 (日本時間)
4511e61600Dmitry DomanovAugust 30, 2013 10:49:44 UTC 2013 年 8 月 30 日 (金) 19 時 49 分 44 秒 (日本時間)
5043e6800 / 7137Dmitry DomanovSeptember 6, 2013 13:20:18 UTC 2013 年 9 月 6 日 (金) 22 時 20 分 18 秒 (日本時間)