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

name 名前Edwin Hall
date 日付December 27, 2020 00:42:16 UTC 2020 年 12 月 27 日 (日) 9 時 42 分 16 秒 (日本時間)
composite number 合成数
32319734655841410386166150770109791467526637402760142350267886638423249536573598827258972245950968443927619917736090062729765400085352225213234745946557403379944923647844044363<176>
prime factors 素因数
445686383715411746423273816395341484799391088319294157763<57>
72516764785165233657689129526993538152505997391677798629585540209412148158341379026045231220087873840692619990602218201<119>
factorization results 素因数分解の結果
p57 factor: 445686383715411746423273816395341484799391088319294157763
p119 factor: 72516764785165233657689129526993538152505997391677798629585540209412148158341379026045231220087873840692619990602218201


Msieve v. 1.54 (SVN 1034)
random seeds: 7b75f1ea 0a930f9e
factoring 32319734655841410386166150770109791467526637402760142350267886638423249536573598827258972245950968443927619917736090062729765400085352225213234745946557403379944923647844044363 (176 digits)
searching for 15-digit factors
commencing number field sieve (176-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: 11
A1: 0
A2: 0
A3: 0
A4: 0
A5: 13
skew 1.00, size 1.333e-13, alpha 1.005, combined = 2.353e-11 rroots = 1

commencing relation filtering
estimated available RAM is 15892.2 MB
commencing duplicate removal, pass 1
found 628544 hash collisions in 37175217 relations
added 727887 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 37903104 unique relations
memory use: 144.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1248.1 MB
keeping 40316061 ideals with weight <= 200, target excess is 201311
commencing in-memory singleton removal
begin with 37903104 relations and 40316061 unique ideals
reduce to 14784338 relations and 13285052 ideals in 15 passes
max relations containing the same ideal: 111
removing 2102478 relations and 1702478 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 12681860 relations and 13285052 unique ideals
reduce to 12427862 relations and 11319815 ideals in 9 passes
max relations containing the same ideal: 98
removing 1686142 relations and 1286142 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 10741720 relations and 11319815 unique ideals
reduce to 10548576 relations and 9833990 ideals in 8 passes
max relations containing the same ideal: 90
removing 1588996 relations and 1188996 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 8959580 relations and 9833990 unique ideals
reduce to 8749262 relations and 8427107 ideals in 8 passes
max relations containing the same ideal: 80
removing 493644 relations and 405010 ideals in 88634 cliques
commencing in-memory singleton removal
begin with 8255618 relations and 8427107 unique ideals
reduce to 8233239 relations and 7999532 ideals in 7 passes
max relations containing the same ideal: 78
relations with 0 large ideals: 4113
relations with 1 large ideals: 9573
relations with 2 large ideals: 82272
relations with 3 large ideals: 390970
relations with 4 large ideals: 1117745
relations with 5 large ideals: 1983786
relations with 6 large ideals: 2298374
relations with 7+ large ideals: 2346406
commencing 2-way merge
reduce to 5112259 relation sets and 4878552 unique ideals
commencing full merge
memory use: 571.8 MB
found 2378309 cycles, need 2352752
weight of 2352752 cycles is about 212248806 (90.21/cycle)
distribution of cycle lengths:
1 relations: 194894
2 relations: 196085
3 relations: 204283
4 relations: 200283
5 relations: 194243
6 relations: 180670
7 relations: 170268
8 relations: 155368
9 relations: 140448
10+ relations: 716210
heaviest cycle: 26 relations
commencing cycle optimization
start with 17506475 relations
pruned 600247 relations
memory use: 515.4 MB
distribution of cycle lengths:
1 relations: 194894
2 relations: 200927
3 relations: 211943
4 relations: 207178
5 relations: 201743
6 relations: 186767
7 relations: 175812
8 relations: 159229
9 relations: 143440
10+ relations: 670819
heaviest cycle: 26 relations
RelProcTime: 994
elapsed time 00:16:35


Msieve v. 1.54 (SVN 1034)
random seeds: 3362554a 03b4ced0
factoring 32319734655841410386166150770109791467526637402760142350267886638423249536573598827258972245950968443927619917736090062729765400085352225213234745946557403379944923647844044363 (176 digits)
searching for 15-digit factors
commencing number field sieve (176-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: 11
A1: 0
A2: 0
A3: 0
A4: 0
A5: 13
skew 1.00, size 1.333e-13, alpha 1.005, combined = 2.353e-11 rroots = 1

commencing linear algebra
read 2352752 cycles
cycles contain 8078901 unique relations
read 8078901 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 990.9 MB
read 2352752 cycles
matrix is 2352574 x 2352752 (865.0 MB) with weight 255053653 (108.41/col)
sparse part has weight 200881136 (85.38/col)
filtering completed in 2 passes
matrix is 2351976 x 2352154 (865.0 MB) with weight 255031522 (108.42/col)
sparse part has weight 200873057 (85.40/col)
matrix starts at (0, 0)
matrix is 2351976 x 2352154 (865.0 MB) with weight 255031522 (108.42/col)
sparse part has weight 200873057 (85.40/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2351928 x 2352154 (823.8 MB) with weight 209513015 (89.07/col)
sparse part has weight 192433958 (81.81/col)
using block size 8192 and superblock size 786432 for processor cache size 8192 kB
commencing Lanczos iteration (8 threads)
memory use: 784.2 MB
linear algebra at 0.1%, ETA 2h35m
checkpointing every 910000 dimensions
lanczos halted after 37196 iterations (dim = 2351924)
recovered 34 nontrivial dependencies
BLanczosTime: 9499
elapsed time 02:38:20


Msieve v. 1.54 (SVN 1034)
random seeds: 51dcfff3 dfa2ad10
factoring 32319734655841410386166150770109791467526637402760142350267886638423249536573598827258972245950968443927619917736090062729765400085352225213234745946557403379944923647844044363 (176 digits)
searching for 15-digit factors
commencing number field sieve (176-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: 11
A1: 0
A2: 0
A3: 0
A4: 0
A5: 13
skew 1.00, size 1.333e-13, alpha 1.005, combined = 2.353e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1176195 cycles
cycles contain 4040854 unique relations
read 4040854 relations
multiplying 4040854 relations
multiply complete, coefficients have about 104.93 million bits
initial square root is modulo 34025521
GCD is 1, no factor found
reading relations for dependency 2
read 1175908 cycles
cycles contain 4041592 unique relations
read 4041592 relations
multiplying 4041592 relations
multiply complete, coefficients have about 104.96 million bits
initial square root is modulo 34158701
sqrtTime: 468
p57 factor: 445686383715411746423273816395341484799391088319294157763
p119 factor: 72516764785165233657689129526993538152505997391677798629585540209412148158341379026045231220087873840692619990602218201
elapsed time 00:07:49
software ソフトウェア
CADO-NFS/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 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)
4511e6415232Ignacio 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)
2820Edwin HallDecember 22, 2020 22:17:07 UTC 2020 年 12 月 23 日 (水) 7 時 17 分 7 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

c166

name 名前Bob Backstrom
date 日付March 29, 2021 12:39:41 UTC 2021 年 3 月 29 日 (月) 21 時 39 分 41 秒 (日本時間)
composite number 合成数
2562955921056643657369718794314123503026583369057025549235277178026716563560559650778997176320033555655178458140715495725060185839224317583375229287594620326583476929<166>
prime factors 素因数
2702052825275887292896765177806938931540798118539513329878768735757913103626071269<82>
948521767258550378172973644719562438805031619382634699967576171646892784981273812141<84>
factorization results 素因数分解の結果
Number: n
N=2562955921056643657369718794314123503026583369057025549235277178026716563560559650778997176320033555655178458140715495725060185839224317583375229287594620326583476929  ( 166 digits)
SNFS difficulty: 199 digits.
Divisors found:

Mon Mar 29 23:34:04 2021  p82 factor: 2702052825275887292896765177806938931540798118539513329878768735757913103626071269
Mon Mar 29 23:34:04 2021  p84 factor: 948521767258550378172973644719562438805031619382634699967576171646892784981273812141
Mon Mar 29 23:34:04 2021  elapsed time 01:25:27 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.337).
Factorization parameters were as follows:
#
# N = 13x10^198+11 = 43(197)7
#
n: 2562955921056643657369718794314123503026583369057025549235277178026716563560559650778997176320033555655178458140715495725060185839224317583375229287594620326583476929
m: 1000000000000000000000000000000000000000
deg: 5
c5: 13000
c0: 11
skew: 0.24
# Murphy_E = 1.537e-11
type: snfs
lss: 1
rlim: 14600000
alim: 14600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14600000/14600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4211013 hash collisions in 29581612 relations (26856880 unique)
Msieve: matrix is 1907537 x 1907762 (668.1 MB)

Sieving start time : 2021/03/29 14:05:27
Sieving end time  : 2021/03/29 22:08:00

Total sieving time: 8hrs 2min 33secs.

Total relation processing time: 1hrs 10min 50sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 0sec.

Prototype def-par.txt line would be:
snfs,199,5,0,0,0,0,0,0,0,0,14600000,14600000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119391] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241112K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486124K reserved, 0K cma-reserved)
[    0.153515] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.47 BogoMIPS (lpj=12798944)
[    0.152034] smpboot: Total of 16 processors activated (102391.55 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 12:31:52 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

name 名前Bob Backstrom
date 日付September 29, 2021 20:28:19 UTC 2021 年 9 月 30 日 (木) 5 時 28 分 19 秒 (日本時間)
composite number 合成数
2712287548464838517369716889791634965619303800950206135286198775643165091523047575305731959147556235036157497566046691350680837191712985196918583447879474368041568056093174885189003<181>
prime factors 素因数
442632110706501407402703502757326138600858173824596018141<57>
6127633948959682361004300977189033328997646157807683175198299955956768961987101080741707075527183233599014122535420658101383<124>
factorization results 素因数分解の結果
Number: n
N=2712287548464838517369716889791634965619303800950206135286198775643165091523047575305731959147556235036157497566046691350680837191712985196918583447879474368041568056093174885189003  ( 181 digits)
SNFS difficulty: 204 digits.
Divisors found:

Thu Sep 30 06:22:16 2021  p57 factor: 442632110706501407402703502757326138600858173824596018141
Thu Sep 30 06:22:16 2021  p124 factor: 6127633948959682361004300977189033328997646157807683175198299955956768961987101080741707075527183233599014122535420658101383
Thu Sep 30 06:22:16 2021  elapsed time 02:01:07 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.324).
Factorization parameters were as follows:
#
# N = 13x10^203+11 = 43(202)7
#
n: 2712287548464838517369716889791634965619303800950206135286198775643165091523047575305731959147556235036157497566046691350680837191712985196918583447879474368041568056093174885189003
m: 10000000000000000000000000000000000000000
deg: 5
c5: 13000
c0: 11
skew: 0.24
# Murphy_E = 9.499e-12
type: snfs
lss: 1
rlim: 17700000
alim: 17700000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17700000/17700000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 36050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9606817 hash collisions in 62837341 relations (55515275 unique)
Msieve: matrix is 2259906 x 2260131 (786.6 MB)

Sieving start time : 2021/09/29 14:29:19
Sieving end time  : 2021/09/30 04:19:46

Total sieving time: 13hrs 50min 27secs.

Total relation processing time: 1hrs 42min 9sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 28sec.

Prototype def-par.txt line would be:
snfs,204,5,0,0,0,0,0,0,0,0,17700000,17700000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119850] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239964K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2736K init, 4964K bss, 487272K reserved, 0K cma-reserved)
[    0.154026] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.44 BogoMIPS (lpj=12798892)
[    0.150212] smpboot: Total of 16 processors activated (102391.13 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 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

name 名前Bob Backstrom
date 日付November 23, 2023 02:00:54 UTC 2023 年 11 月 23 日 (木) 11 時 0 分 54 秒 (日本時間)
composite number 合成数
1701755793593875478983701309301675951085493067862096674848461639192193260668795205098470943292347052025943087931708549984333601114496670612723196842136925015949617<163>
prime factors 素因数
465304188466880775512178326890044648391523638837794797<54>
3657297389049835153655331598859276510644358200980929368482039014270070072366033700310410019594893939504111061<109>
factorization results 素因数分解の結果
Number: n
N=1701755793593875478983701309301675951085493067862096674848461639192193260668795205098470943292347052025943087931708549984333601114496670612723196842136925015949617  ( 163 digits)
SNFS difficulty: 205 digits.
Divisors found:

Thu Nov 23 12:56:05 2023  prp54 factor: 465304188466880775512178326890044648391523638837794797
Thu Nov 23 12:56:05 2023  prp109 factor: 3657297389049835153655331598859276510644358200980929368482039014270070072366033700310410019594893939504111061
Thu Nov 23 12:56:05 2023  elapsed time 03:13:03 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.099).
Factorization parameters were as follows:
#
# N = 13x10^204+11 = 43(203)7
#
n: 1701755793593875478983701309301675951085493067862096674848461639192193260668795205098470943292347052025943087931708549984333601114496670612723196842136925015949617
m: 50000000000000000000000000000000000000000
deg: 5
c5: 208
c0: 55
skew: 0.77
# Murphy_E = 9.013e-12
type: snfs
lss: 1
rlim: 18900000
alim: 18900000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18900000/18900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 49450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3765241 hash collisions in 19267201 relations (16150397 unique)
Msieve: matrix is 2453544 x 2453769 (690.5 MB)

Sieving start time: 2023/11/22 13:41:22
Sieving end time  : 2023/11/23 09:42:38

Total sieving time: 20hrs 1min 16secs.

Total relation processing time: 3hrs 2min 4sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 46sec.

Prototype def-par.txt line would be:
snfs,205,5,0,0,0,0,0,0,0,0,18900000,18900000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
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)
4511e6581232Ignacio 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)
4480Ignacio SantosNovember 16, 2023 08:10:32 UTC 2023 年 11 月 16 日 (木) 17 時 10 分 32 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)
4511e661441000Dmitry 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)
4844cccNovember 20, 2023 02:45:59 UTC 2023 年 11 月 20 日 (月) 11 時 45 分 59 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

c144

name 名前Jason Parker-Burlingham
date 日付September 8, 2019 22:11:42 UTC 2019 年 9 月 9 日 (月) 7 時 11 分 42 秒 (日本時間)
composite number 合成数
128410997562828995703162054064659134220248297227412054243573023251141332628117417878125946870130841924965444902799978701043380138599635376333787<144>
prime factors 素因数
13266145882962558351044318346820138876757635561602469<53>
9679600895068147195491404920915183406421007507884879318812223450782053793317766213562033023<91>
factorization results 素因数分解の結果
Sun Sep  8 12:41:14 2019  
Sun Sep  8 12:41:14 2019  commencing relation filtering
Sun Sep  8 12:41:14 2019  estimated available RAM is 64333.6 MB
Sun Sep  8 12:41:14 2019  commencing duplicate removal, pass 1
Sun Sep  8 12:43:11 2019  found 2501963 hash collisions in 21147381 relations
Sun Sep  8 12:43:35 2019  added 121430 free relations
Sun Sep  8 12:43:35 2019  commencing duplicate removal, pass 2
Sun Sep  8 12:43:40 2019  found 2060699 duplicates and 19208112 unique relations
Sun Sep  8 12:43:40 2019  memory use: 98.6 MB
Sun Sep  8 12:43:40 2019  reading ideals above 720000
Sun Sep  8 12:43:40 2019  commencing singleton removal, initial pass
Sun Sep  8 12:45:13 2019  memory use: 689.0 MB
Sun Sep  8 12:45:13 2019  reading all ideals from disk
Sun Sep  8 12:45:13 2019  memory use: 647.7 MB
Sun Sep  8 12:45:14 2019  keeping 22071828 ideals with weight <= 200, target excess is 122016
Sun Sep  8 12:45:15 2019  commencing in-memory singleton removal
Sun Sep  8 12:45:16 2019  begin with 19208112 relations and 22071828 unique ideals
Sun Sep  8 12:45:24 2019  reduce to 6294792 relations and 6949527 ideals in 27 passes
Sun Sep  8 12:45:24 2019  max relations containing the same ideal: 92
Sun Sep  8 13:13:35 2019  
Sun Sep  8 13:13:35 2019  commencing relation filtering
Sun Sep  8 13:13:35 2019  estimated available RAM is 64333.6 MB
Sun Sep  8 13:13:35 2019  commencing duplicate removal, pass 1
Sun Sep  8 13:15:38 2019  found 2724158 hash collisions in 22337184 relations
Sun Sep  8 13:16:02 2019  added 80 free relations
Sun Sep  8 13:16:02 2019  commencing duplicate removal, pass 2
Sun Sep  8 13:16:07 2019  found 2242156 duplicates and 20095108 unique relations
Sun Sep  8 13:16:07 2019  memory use: 98.6 MB
Sun Sep  8 13:16:07 2019  reading ideals above 720000
Sun Sep  8 13:16:07 2019  commencing singleton removal, initial pass
Sun Sep  8 13:17:44 2019  memory use: 689.0 MB
Sun Sep  8 13:17:44 2019  reading all ideals from disk
Sun Sep  8 13:17:44 2019  memory use: 677.9 MB
Sun Sep  8 13:17:45 2019  keeping 22429442 ideals with weight <= 200, target excess is 124967
Sun Sep  8 13:17:46 2019  commencing in-memory singleton removal
Sun Sep  8 13:17:47 2019  begin with 20095108 relations and 22429442 unique ideals
Sun Sep  8 13:17:56 2019  reduce to 7772259 relations and 8121539 ideals in 26 passes
Sun Sep  8 13:17:56 2019  max relations containing the same ideal: 115
Sun Sep  8 13:51:05 2019  
Sun Sep  8 13:51:05 2019  commencing relation filtering
Sun Sep  8 13:51:05 2019  estimated available RAM is 64333.6 MB
Sun Sep  8 13:51:05 2019  commencing duplicate removal, pass 1
Sun Sep  8 13:53:14 2019  found 2979893 hash collisions in 23569020 relations
Sun Sep  8 13:53:38 2019  added 69 free relations
Sun Sep  8 13:53:38 2019  commencing duplicate removal, pass 2
Sun Sep  8 13:53:43 2019  found 2458862 duplicates and 21110227 unique relations
Sun Sep  8 13:53:43 2019  memory use: 98.6 MB
Sun Sep  8 13:53:43 2019  reading ideals above 720000
Sun Sep  8 13:53:43 2019  commencing singleton removal, initial pass
Sun Sep  8 13:55:25 2019  memory use: 689.0 MB
Sun Sep  8 13:55:25 2019  reading all ideals from disk
Sun Sep  8 13:55:25 2019  memory use: 712.6 MB
Sun Sep  8 13:55:26 2019  keeping 22813095 ideals with weight <= 200, target excess is 128475
Sun Sep  8 13:55:27 2019  commencing in-memory singleton removal
Sun Sep  8 13:55:28 2019  begin with 21110227 relations and 22813095 unique ideals
Sun Sep  8 13:55:36 2019  reduce to 9368315 relations and 9308278 ideals in 19 passes
Sun Sep  8 13:55:36 2019  max relations containing the same ideal: 118
Sun Sep  8 14:29:00 2019  
Sun Sep  8 14:29:00 2019  commencing relation filtering
Sun Sep  8 14:29:00 2019  estimated available RAM is 64333.6 MB
Sun Sep  8 14:29:00 2019  commencing duplicate removal, pass 1
Sun Sep  8 14:31:18 2019  found 3240633 hash collisions in 24781567 relations
Sun Sep  8 14:31:42 2019  added 56 free relations
Sun Sep  8 14:31:42 2019  commencing duplicate removal, pass 2
Sun Sep  8 14:31:48 2019  found 2681522 duplicates and 22100101 unique relations
Sun Sep  8 14:31:48 2019  memory use: 98.6 MB
Sun Sep  8 14:31:48 2019  reading ideals above 720000
Sun Sep  8 14:31:48 2019  commencing singleton removal, initial pass
Sun Sep  8 14:33:35 2019  memory use: 689.0 MB
Sun Sep  8 14:33:35 2019  reading all ideals from disk
Sun Sep  8 14:33:36 2019  memory use: 746.3 MB
Sun Sep  8 14:33:37 2019  keeping 23163185 ideals with weight <= 200, target excess is 131933
Sun Sep  8 14:33:38 2019  commencing in-memory singleton removal
Sun Sep  8 14:33:39 2019  begin with 22100101 relations and 23163185 unique ideals
Sun Sep  8 14:33:47 2019  reduce to 10861478 relations and 10350956 ideals in 18 passes
Sun Sep  8 14:33:47 2019  max relations containing the same ideal: 125
Sun Sep  8 14:33:51 2019  removing 1419232 relations and 1240492 ideals in 178740 cliques
Sun Sep  8 14:33:51 2019  commencing in-memory singleton removal
Sun Sep  8 14:33:51 2019  begin with 9442246 relations and 10350956 unique ideals
Sun Sep  8 14:33:55 2019  reduce to 9288837 relations and 8953715 ideals in 10 passes
Sun Sep  8 14:33:55 2019  max relations containing the same ideal: 115
Sun Sep  8 14:33:58 2019  removing 1071761 relations and 893021 ideals in 178740 cliques
Sun Sep  8 14:33:58 2019  commencing in-memory singleton removal
Sun Sep  8 14:33:58 2019  begin with 8217076 relations and 8953715 unique ideals
Sun Sep  8 14:34:01 2019  reduce to 8113913 relations and 7955375 ideals in 9 passes
Sun Sep  8 14:34:01 2019  max relations containing the same ideal: 104
Sun Sep  8 14:34:05 2019  relations with 0 large ideals: 488
Sun Sep  8 14:34:05 2019  relations with 1 large ideals: 693
Sun Sep  8 14:34:05 2019  relations with 2 large ideals: 12165
Sun Sep  8 14:34:05 2019  relations with 3 large ideals: 103611
Sun Sep  8 14:34:05 2019  relations with 4 large ideals: 478721
Sun Sep  8 14:34:05 2019  relations with 5 large ideals: 1292718
Sun Sep  8 14:34:05 2019  relations with 6 large ideals: 2148043
Sun Sep  8 14:34:05 2019  relations with 7+ large ideals: 4077474
Sun Sep  8 14:34:05 2019  commencing 2-way merge
Sun Sep  8 14:34:08 2019  reduce to 4916374 relation sets and 4757837 unique ideals
Sun Sep  8 14:34:08 2019  ignored 1 oversize relation sets
Sun Sep  8 14:34:08 2019  commencing full merge
Sun Sep  8 14:35:00 2019  memory use: 576.1 MB
Sun Sep  8 14:35:01 2019  found 2544407 cycles, need 2520037
Sun Sep  8 14:35:01 2019  weight of 2520037 cycles is about 176565980 (70.06/cycle)
Sun Sep  8 14:35:01 2019  distribution of cycle lengths:
Sun Sep  8 14:35:01 2019  1 relations: 359526
Sun Sep  8 14:35:01 2019  2 relations: 318627
Sun Sep  8 14:35:01 2019  3 relations: 304954
Sun Sep  8 14:35:01 2019  4 relations: 267316
Sun Sep  8 14:35:01 2019  5 relations: 235372
Sun Sep  8 14:35:01 2019  6 relations: 198301
Sun Sep  8 14:35:01 2019  7 relations: 170698
Sun Sep  8 14:35:01 2019  8 relations: 142802
Sun Sep  8 14:35:01 2019  9 relations: 118458
Sun Sep  8 14:35:01 2019  10+ relations: 403983
Sun Sep  8 14:35:01 2019  heaviest cycle: 21 relations
Sun Sep  8 14:35:02 2019  commencing cycle optimization
Sun Sep  8 14:35:04 2019  start with 13796576 relations
Sun Sep  8 14:35:16 2019  pruned 310267 relations
Sun Sep  8 14:35:17 2019  memory use: 467.4 MB
Sun Sep  8 14:35:17 2019  distribution of cycle lengths:
Sun Sep  8 14:35:17 2019  1 relations: 359526
Sun Sep  8 14:35:17 2019  2 relations: 325881
Sun Sep  8 14:35:17 2019  3 relations: 315562
Sun Sep  8 14:35:17 2019  4 relations: 272695
Sun Sep  8 14:35:17 2019  5 relations: 239573
Sun Sep  8 14:35:17 2019  6 relations: 200272
Sun Sep  8 14:35:17 2019  7 relations: 171006
Sun Sep  8 14:35:17 2019  8 relations: 141671
Sun Sep  8 14:35:17 2019  9 relations: 116866
Sun Sep  8 14:35:17 2019  10+ relations: 376985
Sun Sep  8 14:35:17 2019  heaviest cycle: 21 relations
Sun Sep  8 14:35:19 2019  RelProcTime: 379
Sun Sep  8 14:35:19 2019  
Sun Sep  8 14:35:19 2019  commencing linear algebra
Sun Sep  8 14:35:19 2019  read 2520037 cycles
Sun Sep  8 14:35:22 2019  cycles contain 7923847 unique relations
Sun Sep  8 14:35:50 2019  read 7923847 relations
Sun Sep  8 14:35:56 2019  using 20 quadratic characters above 4294917295
Sun Sep  8 14:36:22 2019  building initial matrix
Sun Sep  8 14:37:10 2019  memory use: 1037.4 MB
Sun Sep  8 14:37:11 2019  read 2520037 cycles
Sun Sep  8 14:37:11 2019  matrix is 2519857 x 2520037 (764.8 MB) with weight 239563646 (95.06/col)
Sun Sep  8 14:37:11 2019  sparse part has weight 170239922 (67.55/col)
Sun Sep  8 14:37:25 2019  filtering completed in 2 passes
Sun Sep  8 14:37:25 2019  matrix is 2516926 x 2517106 (764.5 MB) with weight 239450255 (95.13/col)
Sun Sep  8 14:37:25 2019  sparse part has weight 170210554 (67.62/col)
Sun Sep  8 14:37:30 2019  matrix starts at (0, 0)
Sun Sep  8 14:37:30 2019  matrix is 2516926 x 2517106 (764.5 MB) with weight 239450255 (95.13/col)
Sun Sep  8 14:37:30 2019  sparse part has weight 170210554 (67.62/col)
Sun Sep  8 14:37:30 2019  saving the first 48 matrix rows for later
Sun Sep  8 14:37:30 2019  matrix includes 64 packed rows
Sun Sep  8 14:37:31 2019  matrix is 2516878 x 2517106 (736.2 MB) with weight 192440915 (76.45/col)
Sun Sep  8 14:37:31 2019  sparse part has weight 167821509 (66.67/col)
Sun Sep  8 14:37:31 2019  using block size 8192 and superblock size 6291456 for processor cache size 65536 kB
Sun Sep  8 14:37:36 2019  commencing Lanczos iteration (32 threads)
Sun Sep  8 14:37:36 2019  memory use: 591.6 MB
Sun Sep  8 14:37:42 2019  linear algebra at 0.1%, ETA 2h18m
Sun Sep  8 14:37:44 2019  checkpointing every 1040000 dimensions
Sun Sep  8 16:37:41 2019  lanczos halted after 39801 iterations (dim = 2516877)
Sun Sep  8 16:37:43 2019  recovered 33 nontrivial dependencies
Sun Sep  8 16:37:43 2019  BLanczosTime: 7344
Sun Sep  8 16:37:43 2019  
Sun Sep  8 16:37:43 2019  commencing square root phase
Sun Sep  8 16:37:43 2019  reading relations for dependency 1
Sun Sep  8 16:37:43 2019  read 1258890 cycles
Sun Sep  8 16:37:44 2019  cycles contain 3961304 unique relations
Sun Sep  8 16:37:58 2019  read 3961304 relations
Sun Sep  8 16:38:10 2019  multiplying 3961304 relations
Sun Sep  8 16:40:52 2019  multiply complete, coefficients have about 219.36 million bits
Sun Sep  8 16:40:53 2019  initial square root is modulo 74497567
Sun Sep  8 16:44:12 2019  GCD is N, no factor found
Sun Sep  8 16:44:12 2019  reading relations for dependency 2
Sun Sep  8 16:44:12 2019  read 1258969 cycles
Sun Sep  8 16:44:13 2019  cycles contain 3961696 unique relations
Sun Sep  8 16:44:28 2019  read 3961696 relations
Sun Sep  8 16:44:39 2019  multiplying 3961696 relations
Sun Sep  8 16:47:20 2019  multiply complete, coefficients have about 219.38 million bits
Sun Sep  8 16:47:21 2019  initial square root is modulo 74636147
Sun Sep  8 16:50:40 2019  GCD is N, no factor found
Sun Sep  8 16:50:40 2019  reading relations for dependency 3
Sun Sep  8 16:50:40 2019  read 1258818 cycles
Sun Sep  8 16:50:41 2019  cycles contain 3960638 unique relations
Sun Sep  8 16:50:55 2019  read 3960638 relations
Sun Sep  8 16:51:07 2019  multiplying 3960638 relations
Sun Sep  8 16:53:47 2019  multiply complete, coefficients have about 219.32 million bits
Sun Sep  8 16:53:48 2019  initial square root is modulo 74297227
Sun Sep  8 16:57:07 2019  sqrtTime: 1164

NFS elapsed time = 23018.6454 seconds.
Total factoring time = 23018.6460 seconds


***factors found***

P91 = 96796008950681471954914049209151834064210075078848793188122234507820537933
17766213562033023
P53 = 13266145882962558351044318346820138876757635561602469


n: 128410997562828995703162054064659134220248297227412054243573023251141332628117417878125946870130841924965444902799978701043380138599635376333787
skew: 147310.25
c0: 153646723837946651897825159856937
c1: -909897342843446711076251763
c2: -95730607040841900724599
c3: 422787767847520455
c4: 3440532298766
c5: 5663244
Y0: -1866840744158527437576396150
Y1: 4187924121843881
rlim: 18000000
alim: 18000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
software ソフトウェア
yafu, msieve, ggnfs
execution environment 実行環境
AMD Ryzen Threadripper 2990WX 32-Core Processor @ 3.4GHz w/ 64GB RAM

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

name 名前Erik Branger
date 日付January 21, 2019 17:10:27 UTC 2019 年 1 月 22 日 (火) 2 時 10 分 27 秒 (日本時間)
composite number 合成数
317185554251871500911982095789423111585247146016941652436737337883708368069727946321855622878637349010844371840161546714159541861424369390554723227860751759367132106810638779511113833386787518901891908332261<207>
prime factors 素因数
491999398788575923296914844245555922098733081174955899011498261014079<69>
644686873668668501645829926890578557789092997928411679998113336887343438575965845897855139865964880883189777011883548446601106067679530459<138>
factorization results 素因数分解の結果
Number: 43337_220
N = 317185554251871500911982095789423111585247146016941652436737337883708368069727946321855622878637349010844371840161546714159541861424369390554723227860751759367132106810638779511113833386787518901891908332261 (207 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=491999398788575923296914844245555922098733081174955899011498261014079 (pp69)
r2=644686873668668501645829926890578557789092997928411679998113336887343438575965845897855139865964880883189777011883548446601106067679530459 (pp138)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 41.66 hours.
Factorization parameters were as follows:
n: 317185554251871500911982095789423111585247146016941652436737337883708368069727946321855622878637349010844371840161546714159541861424369390554723227860751759367132106810638779511113833386787518901891908332261
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 13
c0: 11
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 31953323
Relations: 7153106 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 20.05 hours.
Total relation processing time: 0.40 hours.
Pruned matrix : 6454057 x 6454282
Matrix solve time: 20.90 hours.
time per square root: 0.32 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000
total time: 41.66 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
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

name 名前Erik Branger
date 日付January 16, 2021 21:10:05 UTC 2021 年 1 月 17 日 (日) 6 時 10 分 5 秒 (日本時間)
composite number 合成数
135549556995863080372476582172365095863534052278031020635041326091118247998877212655660247516473389199880442770148815801511715092599643344058348869826462151738157251491946929036667043825839617885503<198>
prime factors 素因数
640040310339412313828807177495928013757411194941847<51>
30883134739283326798979301345812661720303262143856162694147<59>
6857556574860521656345558261093998571914350132282463917119242544278291830811543740847667<88>
factorization results 素因数分解の結果
Number: 43337_222
N = 135549556995863080372476582172365095863534052278031020635041326091118247998877212655660247516473389199880442770148815801511715092599643344058348869826462151738157251491946929036667043825839617885503 (198 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=640040310339412313828807177495928013757411194941847 (pp51)
r2=30883134739283326798979301345812661720303262143856162694147 (pp59)
r3=6857556574860521656345558261093998571914350132282463917119242544278291830811543740847667 (pp88)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 71.96 hours.
Factorization parameters were as follows:
n: 135549556995863080372476582172365095863534052278031020635041326091118247998877212655660247516473389199880442770148815801511715092599643344058348869826462151738157251491946929036667043825839617885503
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 1300
c0: 11
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 35809731
Relations: 8867502 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 32.27 hours.
Total relation processing time: 0.37 hours.
Pruned matrix : 7717964 x 7718189
Matrix solve time: 37.93 hours.
time per square root: 1.39 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 71.96 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.19041-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
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

c158

name 名前yoyo@Home
date 日付November 13, 2024 13:20:05 UTC 2024 年 11 月 13 日 (水) 22 時 20 分 5 秒 (日本時間)
composite number 合成数
13397120129411165951824004725736040367410878656648845808931377676111211563360705943917225426871927537515062155621286034671207107592828001773238261361849659087<158>
prime factors 素因数
405164309677895996731585700349374596050645415030187<51>
33065894032131859766283081965553512786030671932067190881028286816875407638152989957233586028443560258254701<107>
factorization results 素因数分解の結果
GMP-ECM 7.0.5-dev [configured with GMP 6.0.0, --enable-asm-redc, --enable-assert] [ECM]
Tuned for x86_64/core2/params.h
Running on c39dd1fa51ce
Input number is 13397120129411165951824004725736040367410878656648845808931377676111211563360705943917225426871927537515062155621286034671207107592828001773238261361849659087 (158 digits)
[Tue Nov 12 22:42:53 2024]
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=0:11716873175017829730
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35        40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+07 3.6e+08
Writing checkpoint to checkpnt at p = 110000000
Step 1 took 340344ms
Using 20 small primes for NTT
Estimated memory usage: 471.18MB
Initializing tables of differences for F took 323ms
Computing roots of F took 11624ms
Building F from its roots took 4460ms
Computing 1/F took 1864ms
Initializing table of differences for G took 260ms
Computing roots of G took 9602ms
Building G from its roots took 5026ms
Computing roots of G took 9644ms
Building G from its roots took 6829ms
Computing G * H took 1049ms
Reducing  G * H mod F took 1043ms
Computing roots of G took 9600ms
Building G from its roots took 4827ms
Computing G * H took 1002ms
Reducing  G * H mod F took 1044ms
Computing roots of G took 9620ms
Building G from its roots took 5045ms
Computing G * H took 1024ms
Reducing  G * H mod F took 1060ms
Computing polyeval(F,G) took 9085ms
Computing product of all F(g_i) took 48ms
Step 2 took 94531ms
********** Factor found in step 2: 405164309677895996731585700349374596050645415030187
Found prime factor of 51 digits: 405164309677895996731585700349374596050645415030187
Prime cofactor 33065894032131859766283081965553512786030671932067190881028286816875407638152989957233586028443560258254701 has 107 digits
Peak memory usage: 614MB
software ソフトウェア
GMP-ECM 7.0.5-dev [configured with GMP 6.0.0, --enable-asm-redc, --enable-assert]

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)
5043e65000 / 6568yoyo@HomeMarch 6, 2021 15:57:30 UTC 2021 年 3 月 7 日 (日) 0 時 57 分 30 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)

13×10252+113

c247

composite cofactor 合成数の残り
9488711717610100076712584732370886004807127336321547623479160234414973479050749279770285588325673023373616564079094981274392375747144810149126053155763042051780629743899670741703398929527338073309786730255633192681429642297465273139865800420276939<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 24, 2021 17:15:06 UTC 2021 年 4 月 25 日 (日) 2 時 15 分 6 秒 (日本時間)
403e62104610Marlon TrifunovicMarch 3, 2022 01:40:28 UTC 2022 年 3 月 3 日 (木) 10 時 40 分 28 秒 (日本時間)
1494ebinaAugust 2, 2022 21:04:01 UTC 2022 年 8 月 3 日 (水) 6 時 4 分 1 秒 (日本時間)

13×10253+113

c251

name 名前ebina
date 日付August 2, 2022 22:23:36 UTC 2022 年 8 月 3 日 (水) 7 時 23 分 36 秒 (日本時間)
composite number 合成数
97817908201655379984951091045899172310007524454477050413844996237772761474793077501881113619262603461249059443190368698269375470278404815650865312264860797592174567343867569601203912716328066215199398043641835966892400300978179082016553799849510910459<251>
prime factors 素因数
46155450163189862930691145960192283769481<41>
composite cofactor 合成数の残り
2119314357368517921479193906374832413850139166454316879818091267897848001592553040004220886821693535630028812951753853834045968150909061322596476766845707522723802083093392888598281689875721360840958769000144739<211>
factorization results 素因数分解の結果
C:\MYDATA\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:406674536 3e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 97817908201655379984951091045899172310007524454477050413844996237772761474793077501881113619262603461249059443190368698269375470278404815650865312264860797592174567343867569601203912716328066215199398043641835966892400300978179082016553799849510910459 (251 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:406674536
Step 1 took 15000ms
Step 2 took 8610ms
********** Factor found in step 2: 46155450163189862930691145960192283769481
Found probable prime factor of 41 digits: 46155450163189862930691145960192283769481
Composite cofactor 2119314357368517921479193906374832413850139166454316879818091267897848001592553040004220886821693535630028812951753853834045968150909061322596476766845707522723802083093392888598281689875721360840958769000144739 has 211 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 24, 2021 17:15:16 UTC 2021 年 4 月 25 日 (日) 2 時 15 分 16 秒 (日本時間)
403e63203610Marlon TrifunovicMarch 7, 2022 04:56:34 UTC 2022 年 3 月 7 日 (月) 13 時 56 分 34 秒 (日本時間)
243ebinaAugust 2, 2022 22:20:37 UTC 2022 年 8 月 3 日 (水) 7 時 20 分 37 秒 (日本時間)
2350Ignacio SantosApril 29, 2024 06:46:30 UTC 2024 年 4 月 29 日 (月) 15 時 46 分 30 秒 (日本時間)

13×10254+113

c252

composite cofactor 合成数の残り
556268720581942661531878476679503637141634574240479246897732135216089002995293110825845100556268720581942661531878476679503637141634574240479246897732135216089002995293110825845100556268720581942661531878476679503637141634574240479246897732135216089003<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 24, 2021 17:15:26 UTC 2021 年 4 月 25 日 (日) 2 時 15 分 26 秒 (日本時間)
403e62104610Marlon TrifunovicMarch 7, 2022 19:41:18 UTC 2022 年 3 月 8 日 (火) 4 時 41 分 18 秒 (日本時間)
1494ebinaAugust 3, 2022 02:18:48 UTC 2022 年 8 月 3 日 (水) 11 時 18 分 48 秒 (日本時間)

13×10255+113

c215

composite cofactor 合成数の残り
74719818862609338984485288485718854398486901679144678598186287817153340554487226460915517920837920635921340543080819541404326522983117567202752496028850505741837245577366934494906448766958305607173114035324159701559<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 24, 2021 17:15:37 UTC 2021 年 4 月 25 日 (日) 2 時 15 分 37 秒 (日本時間)
403e62104610Marlon TrifunovicFebruary 18, 2022 21:46:36 UTC 2022 年 2 月 19 日 (土) 6 時 46 分 36 秒 (日本時間)
1494ebinaAugust 3, 2022 01:02:36 UTC 2022 年 8 月 3 日 (水) 10 時 2 分 36 秒 (日本時間)

13×10256+113

c204

name 名前ebina
date 日付August 3, 2022 00:41:40 UTC 2022 年 8 月 3 日 (水) 9 時 41 分 40 秒 (日本時間)
composite number 合成数
166919519198730424685524899170018799866563705589465685140628749748189228415045443673598482321180061186675545819371692149416343088331956085011743665548369491235290141955311846374993146446379804197138798033<204>
prime factors 素因数
405842875480169289983209017253365368887371175541<48>
411290992853431566762391897748560155029684416728176909910647756413958300280423045900043155191563111749753963322507456706930046080816058816658008759116476013<156>
factorization results 素因数分解の結果
C:\MYDATA\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:1998317225 3e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 166919519198730424685524899170018799866563705589465685140628749748189228415045443673598482321180061186675545819371692149416343088331956085011743665548369491235290141955311846374993146446379804197138798033 (204 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1998317225
Step 1 took 10079ms
Step 2 took 6828ms
********** Factor found in step 2: 405842875480169289983209017253365368887371175541
Found probable prime factor of 48 digits: 405842875480169289983209017253365368887371175541
Probable prime cofactor 411290992853431566762391897748560155029684416728176909910647756413958300280423045900043155191563111749753963322507456706930046080816058816658008759116476013 has 156 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 24, 2021 17:15:52 UTC 2021 年 4 月 25 日 (日) 2 時 15 分 52 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 18, 2022 13:18:34 UTC 2022 年 2 月 18 日 (金) 22 時 18 分 34 秒 (日本時間)

13×10257+113

c214

composite cofactor 合成数の残り
2398451887799094655872555312679557439818315618123553529835326999773881099067890531776074862511400144771513803687126950059900241895478780556265643254377367063926745018273840784339761756157862855482501710130494374939<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 24, 2021 17:16:03 UTC 2021 年 4 月 25 日 (日) 2 時 16 分 3 秒 (日本時間)
403e62960610Marlon TrifunovicFebruary 18, 2022 12:59:14 UTC 2022 年 2 月 18 日 (金) 21 時 59 分 14 秒 (日本時間)
2350Ignacio SantosApril 29, 2024 06:46:55 UTC 2024 年 4 月 29 日 (月) 15 時 46 分 55 秒 (日本時間)

13×10258+113

c253

composite cofactor 合成数の残り
3180990790542278181559698510586704388323610512636241223829927593308859279574099589970287099100342396954861985373804345086604921188506248322333222488038862898562852829992925965865032518290085316619918336625658801544591251247621291790572375248270213911843<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 24, 2021 17:16:14 UTC 2021 年 4 月 25 日 (日) 2 時 16 分 14 秒 (日本時間)
403e62960610Marlon TrifunovicMarch 7, 2022 10:30:27 UTC 2022 年 3 月 7 日 (月) 19 時 30 分 27 秒 (日本時間)
2350Ignacio SantosApril 29, 2024 06:47:34 UTC 2024 年 4 月 29 日 (月) 15 時 47 分 34 秒 (日本時間)

13×10259+113

c211

name 名前Ignacio Santos
date 日付April 29, 2024 06:50:06 UTC 2024 年 4 月 29 日 (月) 15 時 50 分 6 秒 (日本時間)
composite number 合成数
3270028890159222680129786232538232434471649187198173355407592896176015619436412622643828842498138330360471370662854085955110622693972254540541610323790169284821795458450910798182848035712172430421923981782324371<211>
prime factors 素因数
2749393781700301921645376983038299100269<40>
1189363601505254537585858493435597845756516594524028866224405753083236117775344205122828228385973806129869527548575932432626802282683544316433454308948270441014589234146559<172>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3187310538
Step 1 took 8765ms
Step 2 took 4016ms
********** Factor found in step 2: 2749393781700301921645376983038299100269
Found prime factor of 40 digits: 2749393781700301921645376983038299100269
Prime cofactor 1189363601505254537585858493435597845756516594524028866224405753083236117775344205122828228385973806129869527548575932432626802282683544316433454308948270441014589234146559 has 172 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
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 24, 2021 17:16:26 UTC 2021 年 4 月 25 日 (日) 2 時 16 分 26 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 18, 2022 17:01:48 UTC 2022 年 2 月 19 日 (土) 2 時 1 分 48 秒 (日本時間)

13×10261+113

c262

composite cofactor 合成数の残り
4333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333337<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e62352iveliveJanuary 18, 2021 17:59:15 UTC 2021 年 1 月 19 日 (火) 2 時 59 分 15 秒 (日本時間)
4511e640001000Dmitry DomanovApril 21, 2021 11:49:29 UTC 2021 年 4 月 21 日 (水) 20 時 49 分 29 秒 (日本時間)
1000Dmitry DomanovJune 8, 2021 06:46:25 UTC 2021 年 6 月 8 日 (火) 15 時 46 分 25 秒 (日本時間)
1000Ignacio SantosJune 24, 2021 17:16:27 UTC 2021 年 6 月 25 日 (金) 2 時 16 分 27 秒 (日本時間)
1000Ignacio SantosJune 27, 2021 18:45:17 UTC 2021 年 6 月 28 日 (月) 3 時 45 分 17 秒 (日本時間)
5043e672001800Dmitry DomanovDecember 1, 2021 23:10:01 UTC 2021 年 12 月 2 日 (木) 8 時 10 分 1 秒 (日本時間)
1800Dmitry DomanovFebruary 10, 2022 05:35:50 UTC 2022 年 2 月 10 日 (木) 14 時 35 分 50 秒 (日本時間)
1800Dmitry DomanovApril 8, 2022 21:18:24 UTC 2022 年 4 月 9 日 (土) 6 時 18 分 24 秒 (日本時間)
1800Dmitry DomanovApril 29, 2022 23:17:29 UTC 2022 年 4 月 30 日 (土) 8 時 17 分 29 秒 (日本時間)

13×10264+113

c253

composite cofactor 合成数の残り
1944880097590169468240285092248406089835471473951077409867106176209061446738160004134657977070293728527402473982228609594881459872060999265718035218771735152335357551056547526736763798338402995289010368206279017701742625148166994195990062681310422847311<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 24, 2021 17:16:44 UTC 2021 年 4 月 25 日 (日) 2 時 16 分 44 秒 (日本時間)
403e62960610Marlon TrifunovicMarch 6, 2022 21:44:32 UTC 2022 年 3 月 7 日 (月) 6 時 44 分 32 秒 (日本時間)
2350Ignacio SantosApril 29, 2024 07:09:22 UTC 2024 年 4 月 29 日 (月) 16 時 9 分 22 秒 (日本時間)

13×10265+113

c226

composite cofactor 合成数の残り
2075570579238144271315097711165837435660455529304712679147485693456638501507765874702018779612329822365322969733413240128485006312266894396925564290128100459907796188109998889342003487045474138058040120307050711107244346665859<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 24, 2021 17:16:56 UTC 2021 年 4 月 25 日 (日) 2 時 16 分 56 秒 (日本時間)
403e62960610Marlon TrifunovicFebruary 19, 2022 21:11:05 UTC 2022 年 2 月 20 日 (日) 6 時 11 分 5 秒 (日本時間)
2350Ignacio SantosApril 29, 2024 07:29:34 UTC 2024 年 4 月 29 日 (月) 16 時 29 分 34 秒 (日本時間)

13×10266+113

c224

composite cofactor 合成数の残り
40587820131803945753969586260985551453447144286771417353284689630452626097456330635624806669152450582053386628815197306523056780309259934831244731451595733517472864882680869881266170084359853897760239124379716040429245006533<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 24, 2021 17:17:06 UTC 2021 年 4 月 25 日 (日) 2 時 17 分 6 秒 (日本時間)
403e62960610Marlon TrifunovicFebruary 19, 2022 23:28:58 UTC 2022 年 2 月 20 日 (日) 8 時 28 分 58 秒 (日本時間)
2350Ignacio SantosApril 29, 2024 07:36:43 UTC 2024 年 4 月 29 日 (月) 16 時 36 分 43 秒 (日本時間)

13×10267+113

c231

composite cofactor 合成数の残り
477404194375348591050102349011403425887182390058680838377612692416079697019296418235029203585588173688908031605734869101756327948618757802864723422366084928485056424857393208731200428565595539896464415477017017622291010943827783559<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 24, 2021 17:17:16 UTC 2021 年 4 月 25 日 (日) 2 時 17 分 16 秒 (日本時間)
403e62960610Marlon TrifunovicFebruary 20, 2022 05:24:40 UTC 2022 年 2 月 20 日 (日) 14 時 24 分 40 秒 (日本時間)
2350Ignacio SantosApril 29, 2024 07:43:39 UTC 2024 年 4 月 29 日 (月) 16 時 43 分 39 秒 (日本時間)

13×10268+113

c213

composite cofactor 合成数の残り
901193666525798942665860267919502062287185678047525570362302517804071425184547215406078846800554101071001733106470272822255706191325431323989237268621021893619090018169986109944555421958727937644164607500105171157<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 24, 2021 17:17:28 UTC 2021 年 4 月 25 日 (日) 2 時 17 分 28 秒 (日本時間)
403e62960610Marlon TrifunovicFebruary 20, 2022 01:14:57 UTC 2022 年 2 月 20 日 (日) 10 時 14 分 57 秒 (日本時間)
2350Ignacio SantosApril 29, 2024 13:48:23 UTC 2024 年 4 月 29 日 (月) 22 時 48 分 23 秒 (日本時間)

13×10269+113

c210

composite cofactor 合成数の残り
801152971151211716381726608871035777330698895120276049066972166822910550490146020017782903438293937704626871454462547921020996033190651667130576173888244145353149930275915843749917468368089629360138906003235527<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 24, 2021 17:17:41 UTC 2021 年 4 月 25 日 (日) 2 時 17 分 41 秒 (日本時間)
403e62960610Marlon TrifunovicFebruary 20, 2022 07:45:51 UTC 2022 年 2 月 20 日 (日) 16 時 45 分 51 秒 (日本時間)
2350Ignacio SantosApril 29, 2024 13:48:35 UTC 2024 年 4 月 29 日 (月) 22 時 48 分 35 秒 (日本時間)

13×10270+113

c203

composite cofactor 合成数の残り
83415546454342091430662118491557857179039762815765320971855826019393587769748047094337089957440339193762616399462946095547367370783341999587320449020729539493056124282121635141586318455542152583520691761<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 24, 2021 17:17:50 UTC 2021 年 4 月 25 日 (日) 2 時 17 分 50 秒 (日本時間)
403e62960610Marlon TrifunovicFebruary 20, 2022 02:58:53 UTC 2022 年 2 月 20 日 (日) 11 時 58 分 53 秒 (日本時間)
2350Ignacio SantosApril 29, 2024 13:55:43 UTC 2024 年 4 月 29 日 (月) 22 時 55 分 43 秒 (日本時間)

13×10271+113

c223

composite cofactor 合成数の残り
2217867886863766961755124354791951919189189975406364810136520448795600768378676332022586404535417161204277340514042845191074961415032709134872491422606321608626658823918730897549384270281164079938965265188596477754288288201<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 24, 2021 17:18:05 UTC 2021 年 4 月 25 日 (日) 2 時 18 分 5 秒 (日本時間)
403e62960610Marlon TrifunovicFebruary 20, 2022 09:22:37 UTC 2022 年 2 月 20 日 (日) 18 時 22 分 37 秒 (日本時間)
2350Ignacio SantosApril 29, 2024 14:03:54 UTC 2024 年 4 月 29 日 (月) 23 時 3 分 54 秒 (日本時間)

13×10272+113

c215

composite cofactor 合成数の残り
33227969339776308165988218643773856383515927369270973977132162449514250129788884270727825556498427383562714703444605925695805901723968683536920549555571758671024291490838427468312295269625801350860985213203508051991<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 24, 2021 17:18:17 UTC 2021 年 4 月 25 日 (日) 2 時 18 分 17 秒 (日本時間)
403e62960610Marlon TrifunovicFebruary 20, 2022 05:55:51 UTC 2022 年 2 月 20 日 (日) 14 時 55 分 51 秒 (日本時間)
2350Ignacio SantosApril 29, 2024 14:29:09 UTC 2024 年 4 月 29 日 (月) 23 時 29 分 9 秒 (日本時間)

13×10273+113

c262

composite cofactor 合成数の残り
1281045363876920098146908616652929990520018615620453319207252641164730204708980410038355591124239696396947501547583830363327369461804528731216517986557844208552083426457407898432406883487310927773824440134821285339348710877715103110861401212949031114504305815649<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 24, 2021 17:18:28 UTC 2021 年 4 月 25 日 (日) 2 時 18 分 28 秒 (日本時間)
403e62960610Marlon TrifunovicMarch 8, 2022 03:48:16 UTC 2022 年 3 月 8 日 (火) 12 時 48 分 16 秒 (日本時間)
2350Ignacio SantosApril 29, 2024 14:43:27 UTC 2024 年 4 月 29 日 (月) 23 時 43 分 27 秒 (日本時間)

13×10274+113

c202

composite cofactor 合成数の残り
6290632911953532414358755716718930242103636765146112541302610665364535260728834150120457709205592554024592559982515942755854161753436246222503433724766725234886662376102542319004679973715072126306291779<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 24, 2021 17:18:42 UTC 2021 年 4 月 25 日 (日) 2 時 18 分 42 秒 (日本時間)
403e62960610Marlon TrifunovicFebruary 21, 2022 05:31:49 UTC 2022 年 2 月 21 日 (月) 14 時 31 分 49 秒 (日本時間)
2350Ignacio SantosApril 29, 2024 14:43:41 UTC 2024 年 4 月 29 日 (月) 23 時 43 分 41 秒 (日本時間)

13×10275+113

c270

composite cofactor 合成数の残り
318103282263074840159218033617644259226769223164868281995133998560704995175841377064215020200781897867802637957111357926632169589179398750539246237144039368462212878142218104823840519653521904959058884098579717783661872850202962128825467250900048767680119254473572101657<270>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 24, 2021 17:18:53 UTC 2021 年 4 月 25 日 (日) 2 時 18 分 53 秒 (日本時間)
403e62960610Marlon TrifunovicMarch 8, 2022 08:35:23 UTC 2022 年 3 月 8 日 (火) 17 時 35 分 23 秒 (日本時間)
2350Ignacio SantosApril 29, 2024 15:00:02 UTC 2024 年 4 月 30 日 (火) 0 時 0 分 2 秒 (日本時間)

13×10276+113

c216

name 名前Seth Troisi
date 日付January 2, 2024 18:54:22 UTC 2024 年 1 月 3 日 (水) 3 時 54 分 22 秒 (日本時間)
composite number 合成数
304096728886166174369827356853031643262078765456854084277525397129908988451448593319179842403922279855696379043410837430337207626255510458490504272840622316927308189493773514435660920634024743644685028285209820733623<216>
prime factors 素因数
776557499798149498792854202409370849427<39>
composite cofactor 合成数の残り
391595894657137432807011991800928554558632945661342714176460181982956665577935086274596659665359438800159663859944736646706598828152360698303194892727482142702877209261119347149<177>
factorization results 素因数分解の結果
GMP-ECM 7.0.6-dev [configured with GMP 6.3.0, --enable-asm-redc, --enable-assert] [ECM]
Tuned for x86_64/params.h
Running on sethtroisi-linux.sea.corp.google.com
Resuming P-1 residue saved by five@five with GMP-ECM 7.0.6-dev on Thu Nov 23 08:00:37 2023
Input number is 304096728886166174369827356853031643262078765456854084277525397129908988451448593319179842403922279855696379043410837430337207626255510458490504272840622316927308189493773514435660920634024743644685028285209820733623 (216 digits)
Using mpz_mod
Using lmax = 33554432 with NTT which takes about 10368MB of memory
Using B1=10000000000-10000000000, B2=8344913552924776, polynomial x^1
P = 240705465, l = 33554432, s_1 = 16220160, k = s_2 = 5, m_1 = 16
Probability of finding a factor of n digits (assuming one exists):
20      25      30      35      40      45      50      55      60      65
0.81    0.55    0.3     0.14    0.055   0.019   0.0063  0.0018  0.0005  0.00013
Step 1 took 0ms
Computing F from factored S_1 took 95671ms
Computing h took 12241ms
Computing DCT-I of h took 28831ms
Multi-point evaluation 1 of 5:
Computing g_i took 40715ms
Computing g*h took 57170ms
Computing gcd of coefficients and N took 14768ms
Step 2 took 250564ms
********** Factor found in step 2: 776557499798149498792854202409370849427
Found prime factor of 39 digits: 776557499798149498792854202409370849427
Composite cofactor 391595894657137432807011991800928554558632945661342714176460181982956665577935086274596659665359438800159663859944736646706598828152360698303194892727482142702877209261119347149 has 177 digits
Peak memory usage: 10847MB
software ソフトウェア
GMP-ECM 7.0.6, ecm-db 0.1
execution environment 実行環境
1080 Ti for PM1 stage1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 24, 2021 17:19:14 UTC 2021 年 4 月 25 日 (日) 2 時 19 分 14 秒 (日本時間)
403e62960610Marlon TrifunovicFebruary 20, 2022 08:48:32 UTC 2022 年 2 月 20 日 (日) 17 時 48 分 32 秒 (日本時間)
2350Ignacio SantosJanuary 5, 2024 10:59:49 UTC 2024 年 1 月 5 日 (金) 19 時 59 分 49 秒 (日本時間)
4511e64480Ignacio SantosJanuary 6, 2024 08:13:53 UTC 2024 年 1 月 6 日 (土) 17 時 13 分 53 秒 (日本時間)
5043e61792 / 6431Dmitry DomanovMay 8, 2024 16:13:57 UTC 2024 年 5 月 9 日 (木) 1 時 13 分 57 秒 (日本時間)

13×10278+113

c269

name 名前Ignacio Santos
date 日付April 24, 2021 16:46:14 UTC 2021 年 4 月 25 日 (日) 1 時 46 分 14 秒 (日本時間)
composite number 合成数
14178361192498906107614484263920290951027301749562782974729903651024715488876020441765719800564618052523934502680883802884980545528854735353273416872218502345753543938930578503518985012153097522601205640097929761454853017806819081901573373560604623269737247535573210241<269>
prime factors 素因数
39097981020860999471406186764263<32>
composite cofactor 合成数の残り
362636658525511661735200076892162978195320045457659066703868505003949239349725134858192856882422860615673270501776697396353954205846394375923249060254753354000970569985752510500039185969496852544920959676626631506894134646258356305150807<237>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:2148013626
Step 1 took 4656ms
Step 2 took 2281ms
********** Factor found in step 2: 39097981020860999471406186764263
Found prime factor of 32 digits: 39097981020860999471406186764263
Composite cofactor 362636658525511661735200076892162978195320045457659066703868505003949239349725134858192856882422860615673270501776697396353954205846394375923249060254753354000970569985752510500039185969496852544920959676626631506894134646258356305150807 has 237 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
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 29, 2021 10:36:33 UTC 2021 年 4 月 29 日 (木) 19 時 36 分 33 秒 (日本時間)
403e62960610Marlon TrifunovicMarch 3, 2022 21:53:27 UTC 2022 年 3 月 4 日 (金) 6 時 53 分 27 秒 (日本時間)
2350Ignacio SantosApril 29, 2024 15:23:48 UTC 2024 年 4 月 30 日 (火) 0 時 23 分 48 秒 (日本時間)

13×10279+113

c252

name 名前Ignacio Santos
date 日付April 29, 2024 15:24:13 UTC 2024 年 4 月 30 日 (火) 0 時 24 分 13 秒 (日本時間)
composite number 合成数
554489765025965419892493527249188881534797221451132972004074038831856984011395084181103051661878670875021276945489612534749292103772654276191948503643709312617531162740162413212195588869698486594757685459148256636076536923570986596126783457142246706959<252>
prime factors 素因数
10314305149955961803707932692543418019943<41>
composite cofactor 合成数の残り
53759294200088009054395680596764395916512405195455556115259914257429161948453976150062856769267035073727337654952179467711043566856324971236462356197910710810542124032110149525511613335637670687160109123618693913<212>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1127161850
Step 1 took 8984ms
********** Factor found in step 2: 10314305149955961803707932692543418019943
Found prime factor of 41 digits: 10314305149955961803707932692543418019943
Composite cofactor 53759294200088009054395680596764395916512405195455556115259914257429161948453976150062856769267035073727337654952179467711043566856324971236462356197910710810542124032110149525511613335637670687160109123618693913 has 212 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
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 24, 2021 17:19:41 UTC 2021 年 4 月 25 日 (日) 2 時 19 分 41 秒 (日本時間)
403e62960610Marlon TrifunovicMarch 7, 2022 02:17:39 UTC 2022 年 3 月 7 日 (月) 11 時 17 分 39 秒 (日本時間)
2350Ignacio SantosMay 8, 2024 13:56:29 UTC 2024 年 5 月 8 日 (水) 22 時 56 分 29 秒 (日本時間)

13×10282+113

c257

composite cofactor 合成数の残り
10435779001808899313905606364324867123475641342014198717000380469933954403966999546187511671178116593323146614256868096593166958634979822483963409450707199102739046342379029418476291413669704130191396265243301478568161293288018007481746788424463581306408777<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 24, 2021 17:19:53 UTC 2021 年 4 月 25 日 (日) 2 時 19 分 53 秒 (日本時間)
403e62960610Marlon TrifunovicMarch 7, 2022 11:19:33 UTC 2022 年 3 月 7 日 (月) 20 時 19 分 33 秒 (日本時間)
2350Ignacio SantosApril 29, 2024 15:41:03 UTC 2024 年 4 月 30 日 (火) 0 時 41 分 3 秒 (日本時間)

13×10283+113

c267

composite cofactor 合成数の残り
530910621624553976109020228002680836716353383366095211797686347237060776913731648683067719500319453782188413787712769859349818754345920194574363165082264755249648625615193663477451187588040682085201166394362630790043056777265976851177060435570504700096373040362754257<267>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 24, 2021 17:20:04 UTC 2021 年 4 月 25 日 (日) 2 時 20 分 4 秒 (日本時間)
403e62960610Marlon TrifunovicMarch 8, 2022 01:09:54 UTC 2022 年 3 月 8 日 (火) 10 時 9 分 54 秒 (日本時間)
2350Ignacio SantosApril 29, 2024 15:58:55 UTC 2024 年 4 月 30 日 (火) 0 時 58 分 55 秒 (日本時間)

13×10285+113

c204

composite cofactor 合成数の残り
260063854934269778562619107245391342960849322427356848523608818055644104524767236061453010027125003970597867019333912257960879898980613192103257521733742917482736538030968415081256680210934597278675234419<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 24, 2021 17:20:15 UTC 2021 年 4 月 25 日 (日) 2 時 20 分 15 秒 (日本時間)
403e62960610Marlon TrifunovicFebruary 21, 2022 00:53:23 UTC 2022 年 2 月 21 日 (月) 9 時 53 分 23 秒 (日本時間)
2350Ignacio SantosApril 29, 2024 16:12:11 UTC 2024 年 4 月 30 日 (火) 1 時 12 分 11 秒 (日本時間)

13×10286+113

c269

name 名前Marlon Trifunovic
date 日付April 15, 2022 00:32:56 UTC 2022 年 4 月 15 日 (金) 9 時 32 分 56 秒 (日本時間)
composite number 合成数
49119562022849222717797683312736315464299697527409764698138818882041542124288749808774243255047410426229939883141145279737268746152555422368549577778810706221236755759317033613298373323869201822372241560699518774173469421069023586918180467714044259660231294603571364421<269>
prime factors 素因数
3521536395281985077376466467245830255961<40>
composite cofactor 合成数の残り
13948332917603142074229406628646817453751914298244779422445681556468567833778359915733297102186415371988983541931530008902788598690335438578018010617153649323818006961679443216728435446625173006444735586755171410240876627347462861<230>
factorization results 素因数分解の結果
Run 397 out of 610:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:597839727
Step 1 took 26341ms
Step 2 took 10450ms
********** Factor found in step 2: 3521536395281985077376466467245830255961
Found prime factor of 40 digits: 3521536395281985077376466467245830255961
Composite cofactor 13948332917603142074229406628646817453751914298244779422445681556468567833778359915733297102186415371988983541931530008902788598690335438578018010617153649323818006961679443216728435446625173006444735586755171410240876627347462861 has 230 digits
software ソフトウェア
GMP-ECM 7.0.5-dev
execution environment 実行環境
Intel Xeon CPU E5-2695 v4 @ 2.10GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 24, 2021 17:20:27 UTC 2021 年 4 月 25 日 (日) 2 時 20 分 27 秒 (日本時間)
403e62960610Marlon TrifunovicMarch 7, 2022 23:37:36 UTC 2022 年 3 月 8 日 (火) 8 時 37 分 36 秒 (日本時間)
2350Ignacio SantosApril 30, 2024 06:18:24 UTC 2024 年 4 月 30 日 (火) 15 時 18 分 24 秒 (日本時間)

13×10288+113

c256

composite cofactor 合成数の残り
2973024686180827219905054992379998389353692847045036893307497880401192454734060956872151673050120639004017793192582987829389992040361226510911973679179813858332369551742579733570988605523010246424731806819563638434558920264298067060885675390047289189425999<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 24, 2021 17:20:38 UTC 2021 年 4 月 25 日 (日) 2 時 20 分 38 秒 (日本時間)
403e62960610Marlon TrifunovicMarch 7, 2022 11:56:37 UTC 2022 年 3 月 7 日 (月) 20 時 56 分 37 秒 (日本時間)
2350Ignacio SantosApril 30, 2024 06:45:52 UTC 2024 年 4 月 30 日 (火) 15 時 45 分 52 秒 (日本時間)

13×10289+113

c270

composite cofactor 合成数の残り
245585764985165654008256116232987294928135859571837923359135713382044922461178778881285372062672884207757994262809446748460081970913102973420876510974758165537707479631401214206358007955077358890790030566589238501322662863071279510679344663873717689357097078279921755229<270>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 24, 2021 17:20:47 UTC 2021 年 4 月 25 日 (日) 2 時 20 分 47 秒 (日本時間)
403e62960610Marlon TrifunovicMarch 8, 2022 07:58:26 UTC 2022 年 3 月 8 日 (火) 16 時 58 分 26 秒 (日本時間)
2350Ignacio SantosApril 30, 2024 06:46:06 UTC 2024 年 4 月 30 日 (火) 15 時 46 分 6 秒 (日本時間)

13×10290+113

c230

composite cofactor 合成数の残り
19963123375561187329020393941773462621489574627027749129150856009154572770756926116049882248368551098247250792560899191469282946631274742902095099776693750776338488254040057619373080572786948928283056768526563371393894402540036137<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 24, 2021 17:21:00 UTC 2021 年 4 月 25 日 (日) 2 時 21 分 0 秒 (日本時間)
403e62960610Marlon TrifunovicFebruary 21, 2022 10:49:51 UTC 2022 年 2 月 21 日 (月) 19 時 49 分 51 秒 (日本時間)
2350Ignacio SantosApril 30, 2024 06:55:57 UTC 2024 年 4 月 30 日 (火) 15 時 55 分 57 秒 (日本時間)

13×10291+113

c277

composite cofactor 合成数の残り
1901257266749860594388430912608156853812309507447419443917420164580348838311314229822286521023457984849464819491167593698451133045313936615790489840318510309653410911558332033357983507404342857589698825815465173584220016305427917956024872609906510973374185207167419386179759383<277>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 24, 2021 17:21:12 UTC 2021 年 4 月 25 日 (日) 2 時 21 分 12 秒 (日本時間)
403e62960610Marlon TrifunovicMarch 10, 2022 07:29:44 UTC 2022 年 3 月 10 日 (木) 16 時 29 分 44 秒 (日本時間)
2350Ignacio SantosApril 30, 2024 07:30:51 UTC 2024 年 4 月 30 日 (火) 16 時 30 分 51 秒 (日本時間)

13×10292+113

c292

composite cofactor 合成数の残り
6190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476191<292>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 24, 2021 17:21:26 UTC 2021 年 4 月 25 日 (日) 2 時 21 分 26 秒 (日本時間)
403e62960610Marlon TrifunovicMarch 11, 2022 02:17:00 UTC 2022 年 3 月 11 日 (金) 11 時 17 分 0 秒 (日本時間)
2350Ignacio SantosApril 30, 2024 08:03:25 UTC 2024 年 4 月 30 日 (火) 17 時 3 分 25 秒 (日本時間)

13×10293+113

c286

composite cofactor 合成数の残り
1434906824452288255902113111230309188943189479166913981136169621156926718373578236784087884661032694869665376671082415815001728107958539506402714849893000819328485438815550377977581636096015403817477551663651888796385596864024821963080330860065015561989464360000082164972317098721361041<286>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 24, 2021 17:21:37 UTC 2021 年 4 月 25 日 (日) 2 時 21 分 37 秒 (日本時間)
403e62960610Marlon TrifunovicMarch 10, 2022 05:58:02 UTC 2022 年 3 月 10 日 (木) 14 時 58 分 2 秒 (日本時間)
2350Ignacio SantosApril 30, 2024 08:03:37 UTC 2024 年 4 月 30 日 (火) 17 時 3 分 37 秒 (日本時間)

13×10295+113

c280

name 名前Ignacio Santos
date 日付April 30, 2024 08:04:05 UTC 2024 年 4 月 30 日 (火) 17 時 4 分 5 秒 (日本時間)
composite number 合成数
1317089329955547934776840845810916160839456069074475735278704282828077079923858265544012034235692501379207724545770452826618356402504615875420323118537988269276855771027978285768484464458324196477713728683238009899470161936395591364079437152476024866351652649975864547508487334347<280>
prime factors 素因数
4707368700413542923416488400310635479<37>
279793110286823607846361356338081140378096079904768170307251849572316096133096946724487664458197316665218908583079340897080821309510859175531055475300762474991657804938738947209173127077297646923439605079542475095782918191384660854291563541293<243>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4190126169
Step 1 took 14140ms
Step 2 took 5422ms
********** Factor found in step 2: 4707368700413542923416488400310635479
Found prime factor of 37 digits: 4707368700413542923416488400310635479
Prime cofactor 279793110286823607846361356338081140378096079904768170307251849572316096133096946724487664458197316665218908583079340897080821309510859175531055475300762474991657804938738947209173127077297646923439605079542475095782918191384660854291563541293 has 243 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
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 24, 2021 17:22:10 UTC 2021 年 4 月 25 日 (日) 2 時 22 分 10 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 10, 2022 04:38:57 UTC 2022 年 3 月 10 日 (木) 13 時 38 分 57 秒 (日本時間)

13×10296+113

c258

composite cofactor 合成数の残り
381971369497090327702433237614742432608162142062405990749400335541792231810005695905425548030607555878039888763388835682471525465010052965557679217968493879656170154624888693392253861596122528574189393422692962411399669245748737124984263815176838015440851551<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 24, 2021 17:22:19 UTC 2021 年 4 月 25 日 (日) 2 時 22 分 19 秒 (日本時間)
403e62960610Marlon TrifunovicMarch 8, 2022 00:15:35 UTC 2022 年 3 月 8 日 (火) 9 時 15 分 35 秒 (日本時間)
2350Ignacio SantosApril 30, 2024 08:43:38 UTC 2024 年 4 月 30 日 (火) 17 時 43 分 38 秒 (日本時間)

13×10297+113

c253

composite cofactor 合成数の残り
3644756750705410497363606457621360323520136190669715049942003288368244682246493354296081900648274038925791506512211709264477767593425930823753820089928240660680485134825564924249094190156564325272344038653908076140903812312424044422327941766292038219033<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 24, 2021 17:22:29 UTC 2021 年 4 月 25 日 (日) 2 時 22 分 29 秒 (日本時間)
403e62960610Marlon TrifunovicMarch 7, 2022 15:45:36 UTC 2022 年 3 月 8 日 (火) 0 時 45 分 36 秒 (日本時間)
2350Ignacio SantosApril 30, 2024 08:43:49 UTC 2024 年 4 月 30 日 (火) 17 時 43 分 49 秒 (日本時間)

13×10299+113

c277

composite cofactor 合成数の残り
1329384549703789430334680597771549578866688852862041278918982141898252233017693487662701054130128509101994387154906713500066489987577245792161343205692149093280493889889100581311877364957249956051182722658716892194592343258394381739373713725731641191298928394503051813909118031<277>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 24, 2021 17:22:40 UTC 2021 年 4 月 25 日 (日) 2 時 22 分 40 秒 (日本時間)
403e62960610Marlon TrifunovicMarch 10, 2022 11:00:01 UTC 2022 年 3 月 10 日 (木) 20 時 0 分 1 秒 (日本時間)
2350Ignacio SantosApril 30, 2024 08:55:03 UTC 2024 年 4 月 30 日 (火) 17 時 55 分 3 秒 (日本時間)

13×10300+113

c282

composite cofactor 合成数の残り
102813907567317738131709473658949661263179549460425223290600633941888130590674158946094421980034211219456815454092205430327704657085358016539277759190862443980832029484379521444957304008816801559434756957872539933222981466333373700190808348615401042810840928632995236040342268345693<282>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200Dmitry DomanovJanuary 13, 2021 10:45:49 UTC 2021 年 1 月 13 日 (水) 19 時 45 分 49 秒 (日本時間)
4511e62000Dmitry DomanovApril 22, 2021 23:29:55 UTC 2021 年 4 月 23 日 (金) 8 時 29 分 55 秒 (日本時間)
5043e6640 / 7059Dmitry DomanovApril 29, 2021 21:01:40 UTC 2021 年 4 月 30 日 (金) 6 時 1 分 40 秒 (日本時間)