Table of contents 目次

53×10102-179

c98

name 名前Serge Batalov
date 日付April 23, 2009 02:55:12 UTC 2009 年 4 月 23 日 (木) 11 時 55 分 12 秒 (日本時間)
composite number 合成数
71345015069951768077547992983958140668139335468299255992644732785995915834420335213880239988477107<98>
prime factors 素因数
3536462375192796870546965456753026665578804701991<49>
20174119642955981100844036468742758967519435241877<50>
factorization results 素因数分解の結果
SNFS difficulty: 105 digits.
Divisors found:
 r1=3536462375192796870546965456753026665578804701991 (pp49)
 r2=20174119642955981100844036468742758967519435241877 (pp50)
Version: Msieve-1.40
Total time: 0.42 hours.
Scaled time: 0.84 units (timescale=2.015).
Factorization parameters were as follows:
n: 71345015069951768077547992983958140668139335468299255992644732785995915834420335213880239988477107
m: 50000000000000000000000000
deg: 4
c4: 212
c0: -425
skew: 1.19
type: snfs
lss: 1
rlim: 400000
alim: 400000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 400000/400000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [200000, 320001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 34633 x 34864
Total sieving time: 0.40 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,105.000,4,0,0,0,0,0,0,0,0,400000,400000,25,25,44,44,2.2,2.2,20000
total time: 0.42 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 22, 2009 13:00:00 UTC 2009 年 4 月 22 日 (水) 22 時 0 分 0 秒 (日本時間)

53×10104-179

c98

name 名前Serge Batalov
date 日付April 23, 2009 03:15:37 UTC 2009 年 4 月 23 日 (木) 12 時 15 分 37 秒 (日本時間)
composite number 合成数
42150710916673858134656553899915395570225911665995794361124020760449882967755843422642816331084577<98>
prime factors 素因数
66094496635789648498726769864747288141<38>
637734048402595454621522275124133541105908678950119792488997<60>
factorization results 素因数分解の結果
SNFS difficulty: 105 digits.
Divisors found:
 r1=66094496635789648498726769864747288141 (pp38)
 r2=637734048402595454621522275124133541105908678950119792488997 (pp60)
Version: Msieve-1.41
Total time: 0.42 hours.
Scaled time: 0.84 units (timescale=1.848).
Factorization parameters were as follows:
n: 42150710916673858134656553899915395570225911665995794361124020760449882967755843422642816331084577
m: 100000000000000000000000000
deg: 4
c4: 53
c0: -17
skew: 0.75
type: snfs
lss: 1
rlim: 400000
alim: 400000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 400000/400000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [200000, 260001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 39510 x 39752
Total sieving time: 0.40 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,105,4,0,0,0,0,0,0,0,0,400000,400000,25,25,44,44,2.2,2.2,20000
total time: 0.42 hours.
software ソフトウェア
Msieve-1.41

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 22, 2009 13:00:00 UTC 2009 年 4 月 22 日 (水) 22 時 0 分 0 秒 (日本時間)

53×10109-179

c97

name 名前Robert Backstrom
date 日付April 23, 2009 13:55:03 UTC 2009 年 4 月 23 日 (木) 22 時 55 分 3 秒 (日本時間)
composite number 合成数
1006074394639578460861665960829727793726759540115934699440062720584295891926720766143730739603153<97>
prime factors 素因数
1184825813345484206359746383415693747268967<43>
849132744499225818718955971430604327755370155419332359<54>
factorization results 素因数分解の結果
Number: n
N=1006074394639578460861665960829727793726759540115934699440062720584295891926720766143730739603153
  ( 97 digits)
SNFS difficulty: 111 digits.
Divisors found:
 r1=1184825813345484206359746383415693747268967 (pp43)
 r2=849132744499225818718955971430604327755370155419332359 (pp54)
Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 0.60 hours.
Scaled time: 1.56 units (timescale=2.627).
Factorization parameters were as follows:
name: KA_5_8_108_7
n: 1006074394639578460861665960829727793726759540115934699440062720584295891926720766143730739603153
m: 10000000000000000000000
deg: 5
c5: 53
c0: -170
skew: 1.26
type: snfs
lss: 1
rlim: 510000
alim: 510000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
qintsize: 20000
Factor base limits: 510000/510000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [255000, 395001)
Primes: RFBsize:42291, AFBsize:42411, largePrimes:1076456 encountered
Relations: rels:1001878, finalFF:95374
Max relations in full relation-set: 28
Initial matrix: 84767 x 95374 with sparse part having weight 4131287.
Pruned matrix : 78247 x 78734 with weight 2783143.
Total sieving time: 0.55 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Total square root time: 0.02 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,111,5,0,0,0,0,0,0,0,0,510000,510000,25,25,44,44,2.2,2.2,50000
total time: 0.60 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 22, 2009 13:00:00 UTC 2009 年 4 月 22 日 (水) 22 時 0 分 0 秒 (日本時間)

53×10113-179

c95

name 名前Sinkiti Sibata
date 日付April 24, 2009 03:52:06 UTC 2009 年 4 月 24 日 (金) 12 時 52 分 6 秒 (日本時間)
composite number 合成数
59863994831779548547391373386370555107607649273242788480501437709143034117417916270887605765499<95>
prime factors 素因数
5067488575798423942258912441786211<34>
11813345789802296777872794313744435491728937700087705183033609<62>
factorization results 素因数分解の結果
Fri Apr 24 06:48:16 2009  Msieve v. 1.41
Fri Apr 24 06:48:16 2009  random seeds: 4fb1af00 b2fd5f23
Fri Apr 24 06:48:16 2009  factoring 59863994831779548547391373386370555107607649273242788480501437709143034117417916270887605765499 (95 digits)
Fri Apr 24 06:48:17 2009  searching for 15-digit factors
Fri Apr 24 06:48:19 2009  commencing quadratic sieve (95-digit input)
Fri Apr 24 06:48:19 2009  using multiplier of 3
Fri Apr 24 06:48:19 2009  using 32kb Intel Core sieve core
Fri Apr 24 06:48:19 2009  sieve interval: 36 blocks of size 32768
Fri Apr 24 06:48:19 2009  processing polynomials in batches of 6
Fri Apr 24 06:48:19 2009  using a sieve bound of 2150039 (80000 primes)
Fri Apr 24 06:48:19 2009  using large prime bound of 322505850 (28 bits)
Fri Apr 24 06:48:19 2009  using double large prime bound of 2067129303583950 (43-51 bits)
Fri Apr 24 06:48:19 2009  using trial factoring cutoff of 51 bits
Fri Apr 24 06:48:19 2009  polynomial 'A' values have 12 factors
Fri Apr 24 06:48:19 2009  restarting with 1761 full and 115577 partial relations
Fri Apr 24 11:14:39 2009  80263 relations (18873 full + 61390 combined from 1218465 partial), need 80096
Fri Apr 24 11:14:40 2009  begin with 1237338 relations
Fri Apr 24 11:14:42 2009  reduce to 213249 relations in 11 passes
Fri Apr 24 11:14:42 2009  attempting to read 213249 relations
Fri Apr 24 11:14:46 2009  recovered 213249 relations
Fri Apr 24 11:14:46 2009  recovered 200611 polynomials
Fri Apr 24 11:14:46 2009  attempting to build 80263 cycles
Fri Apr 24 11:14:46 2009  found 80263 cycles in 6 passes
Fri Apr 24 11:14:46 2009  distribution of cycle lengths:
Fri Apr 24 11:14:46 2009     length 1 : 18873
Fri Apr 24 11:14:46 2009     length 2 : 13543
Fri Apr 24 11:14:46 2009     length 3 : 13334
Fri Apr 24 11:14:46 2009     length 4 : 11007
Fri Apr 24 11:14:46 2009     length 5 : 8458
Fri Apr 24 11:14:46 2009     length 6 : 5909
Fri Apr 24 11:14:46 2009     length 7 : 3736
Fri Apr 24 11:14:46 2009     length 9+: 5403
Fri Apr 24 11:14:46 2009  largest cycle: 21 relations
Fri Apr 24 11:14:46 2009  matrix is 80000 x 80263 (22.1 MB) with weight 5481572 (68.30/col)
Fri Apr 24 11:14:46 2009  sparse part has weight 5481572 (68.30/col)
Fri Apr 24 11:14:48 2009  filtering completed in 3 passes
Fri Apr 24 11:14:48 2009  matrix is 76727 x 76791 (21.3 MB) with weight 5264271 (68.55/col)
Fri Apr 24 11:14:48 2009  sparse part has weight 5264271 (68.55/col)
Fri Apr 24 11:14:48 2009  saving the first 48 matrix rows for later
Fri Apr 24 11:14:48 2009  matrix is 76679 x 76791 (14.7 MB) with weight 4313718 (56.17/col)
Fri Apr 24 11:14:48 2009  sparse part has weight 3380078 (44.02/col)
Fri Apr 24 11:14:48 2009  matrix includes 64 packed rows
Fri Apr 24 11:14:48 2009  using block size 30716 for processor cache size 1024 kB
Fri Apr 24 11:14:49 2009  commencing Lanczos iteration
Fri Apr 24 11:14:49 2009  memory use: 13.4 MB
Fri Apr 24 11:15:34 2009  lanczos halted after 1214 iterations (dim = 76677)
Fri Apr 24 11:15:35 2009  recovered 16 nontrivial dependencies
Fri Apr 24 11:15:37 2009  prp34 factor: 5067488575798423942258912441786211
Fri Apr 24 11:15:37 2009  prp62 factor: 11813345789802296777872794313744435491728937700087705183033609
Fri Apr 24 11:15:37 2009  elapsed time 04:27:21

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 22, 2009 13:00:00 UTC 2009 年 4 月 22 日 (水) 22 時 0 分 0 秒 (日本時間)

53×10114-179

c96

name 名前Sinkiti Sibata
date 日付April 24, 2009 09:25:51 UTC 2009 年 4 月 24 日 (金) 18 時 25 分 51 秒 (日本時間)
composite number 合成数
117903353400321857683749787677987415989823219588292979192960515969393246858575069561884069119267<96>
prime factors 素因数
167266927763015205609857861924093563<36>
704881442955466017239089882681824408103143399235767556204409<60>
factorization results 素因数分解の結果
Fri Apr 24 12:54:32 2009  Msieve v. 1.41
Fri Apr 24 12:54:32 2009  random seeds: 59d15950 4f27dd33
Fri Apr 24 12:54:32 2009  factoring 117903353400321857683749787677987415989823219588292979192960515969393246858575069561884069119267 (96 digits)
Fri Apr 24 12:54:33 2009  searching for 15-digit factors
Fri Apr 24 12:54:34 2009  commencing quadratic sieve (96-digit input)
Fri Apr 24 12:54:34 2009  using multiplier of 3
Fri Apr 24 12:54:34 2009  using 32kb Intel Core sieve core
Fri Apr 24 12:54:34 2009  sieve interval: 36 blocks of size 32768
Fri Apr 24 12:54:34 2009  processing polynomials in batches of 6
Fri Apr 24 12:54:34 2009  using a sieve bound of 2191457 (81176 primes)
Fri Apr 24 12:54:34 2009  using large prime bound of 328718550 (28 bits)
Fri Apr 24 12:54:34 2009  using double large prime bound of 2139358506583350 (43-51 bits)
Fri Apr 24 12:54:34 2009  using trial factoring cutoff of 51 bits
Fri Apr 24 12:54:34 2009  polynomial 'A' values have 12 factors
Fri Apr 24 17:40:31 2009  81350 relations (19358 full + 61992 combined from 1224123 partial), need 81272
Fri Apr 24 17:40:33 2009  begin with 1243481 relations
Fri Apr 24 17:40:34 2009  reduce to 214446 relations in 11 passes
Fri Apr 24 17:40:34 2009  attempting to read 214446 relations
Fri Apr 24 17:40:37 2009  recovered 214446 relations
Fri Apr 24 17:40:37 2009  recovered 201995 polynomials
Fri Apr 24 17:40:38 2009  attempting to build 81350 cycles
Fri Apr 24 17:40:38 2009  found 81350 cycles in 5 passes
Fri Apr 24 17:40:38 2009  distribution of cycle lengths:
Fri Apr 24 17:40:38 2009     length 1 : 19358
Fri Apr 24 17:40:38 2009     length 2 : 13809
Fri Apr 24 17:40:38 2009     length 3 : 13726
Fri Apr 24 17:40:38 2009     length 4 : 11158
Fri Apr 24 17:40:38 2009     length 5 : 8472
Fri Apr 24 17:40:38 2009     length 6 : 5816
Fri Apr 24 17:40:38 2009     length 7 : 3810
Fri Apr 24 17:40:38 2009     length 9+: 5201
Fri Apr 24 17:40:38 2009  largest cycle: 20 relations
Fri Apr 24 17:40:38 2009  matrix is 81176 x 81350 (22.6 MB) with weight 5591847 (68.74/col)
Fri Apr 24 17:40:38 2009  sparse part has weight 5591847 (68.74/col)
Fri Apr 24 17:40:40 2009  filtering completed in 3 passes
Fri Apr 24 17:40:40 2009  matrix is 77874 x 77938 (21.8 MB) with weight 5392030 (69.18/col)
Fri Apr 24 17:40:40 2009  sparse part has weight 5392030 (69.18/col)
Fri Apr 24 17:40:40 2009  saving the first 48 matrix rows for later
Fri Apr 24 17:40:40 2009  matrix is 77826 x 77938 (15.6 MB) with weight 4492035 (57.64/col)
Fri Apr 24 17:40:40 2009  sparse part has weight 3631965 (46.60/col)
Fri Apr 24 17:40:40 2009  matrix includes 64 packed rows
Fri Apr 24 17:40:40 2009  using block size 31175 for processor cache size 1024 kB
Fri Apr 24 17:40:41 2009  commencing Lanczos iteration
Fri Apr 24 17:40:41 2009  memory use: 14.0 MB
Fri Apr 24 17:41:26 2009  lanczos halted after 1233 iterations (dim = 77826)
Fri Apr 24 17:41:26 2009  recovered 18 nontrivial dependencies
Fri Apr 24 17:41:27 2009  prp36 factor: 167266927763015205609857861924093563
Fri Apr 24 17:41:27 2009  prp60 factor: 704881442955466017239089882681824408103143399235767556204409
Fri Apr 24 17:41:27 2009  elapsed time 04:46:55

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 22, 2009 13:00:00 UTC 2009 年 4 月 22 日 (水) 22 時 0 分 0 秒 (日本時間)

53×10121-179

c94

name 名前Sinkiti Sibata
date 日付April 24, 2009 12:52:39 UTC 2009 年 4 月 24 日 (金) 21 時 52 分 39 秒 (日本時間)
composite number 合成数
3640241419494281102214649384034662170741936618630879393491492058162045661401457588404315829927<94>
prime factors 素因数
3631090387354731446722862437746442697<37>
1002520188473252584276320790788755291702994964270538468591<58>
factorization results 素因数分解の結果
Fri Apr 24 18:28:38 2009  Msieve v. 1.41
Fri Apr 24 18:28:38 2009  random seeds: 752e6e18 d6e9ebde
Fri Apr 24 18:28:38 2009  factoring 3640241419494281102214649384034662170741936618630879393491492058162045661401457588404315829927 (94 digits)
Fri Apr 24 18:28:39 2009  searching for 15-digit factors
Fri Apr 24 18:28:41 2009  commencing quadratic sieve (94-digit input)
Fri Apr 24 18:28:41 2009  using multiplier of 3
Fri Apr 24 18:28:41 2009  using 32kb Intel Core sieve core
Fri Apr 24 18:28:41 2009  sieve interval: 36 blocks of size 32768
Fri Apr 24 18:28:41 2009  processing polynomials in batches of 6
Fri Apr 24 18:28:41 2009  using a sieve bound of 2024387 (75294 primes)
Fri Apr 24 18:28:41 2009  using large prime bound of 271267858 (28 bits)
Fri Apr 24 18:28:41 2009  using double large prime bound of 1513968973265930 (42-51 bits)
Fri Apr 24 18:28:41 2009  using trial factoring cutoff of 51 bits
Fri Apr 24 18:28:41 2009  polynomial 'A' values have 12 factors
Fri Apr 24 21:36:38 2009  75663 relations (18586 full + 57077 combined from 1073486 partial), need 75390
Fri Apr 24 21:36:39 2009  begin with 1092072 relations
Fri Apr 24 21:36:40 2009  reduce to 196620 relations in 11 passes
Fri Apr 24 21:36:40 2009  attempting to read 196620 relations
Fri Apr 24 21:36:43 2009  recovered 196620 relations
Fri Apr 24 21:36:43 2009  recovered 180006 polynomials
Fri Apr 24 21:36:43 2009  attempting to build 75663 cycles
Fri Apr 24 21:36:44 2009  found 75663 cycles in 5 passes
Fri Apr 24 21:36:44 2009  distribution of cycle lengths:
Fri Apr 24 21:36:44 2009     length 1 : 18586
Fri Apr 24 21:36:44 2009     length 2 : 13344
Fri Apr 24 21:36:44 2009     length 3 : 12710
Fri Apr 24 21:36:44 2009     length 4 : 10087
Fri Apr 24 21:36:44 2009     length 5 : 7735
Fri Apr 24 21:36:44 2009     length 6 : 5214
Fri Apr 24 21:36:44 2009     length 7 : 3265
Fri Apr 24 21:36:44 2009     length 9+: 4722
Fri Apr 24 21:36:44 2009  largest cycle: 20 relations
Fri Apr 24 21:36:44 2009  matrix is 75294 x 75663 (19.9 MB) with weight 4913605 (64.94/col)
Fri Apr 24 21:36:44 2009  sparse part has weight 4913605 (64.94/col)
Fri Apr 24 21:36:45 2009  filtering completed in 4 passes
Fri Apr 24 21:36:45 2009  matrix is 71656 x 71720 (18.9 MB) with weight 4671198 (65.13/col)
Fri Apr 24 21:36:45 2009  sparse part has weight 4671198 (65.13/col)
Fri Apr 24 21:36:45 2009  saving the first 48 matrix rows for later
Fri Apr 24 21:36:46 2009  matrix is 71608 x 71720 (12.0 MB) with weight 3712909 (51.77/col)
Fri Apr 24 21:36:46 2009  sparse part has weight 2707303 (37.75/col)
Fri Apr 24 21:36:46 2009  matrix includes 64 packed rows
Fri Apr 24 21:36:46 2009  using block size 28688 for processor cache size 1024 kB
Fri Apr 24 21:36:46 2009  commencing Lanczos iteration
Fri Apr 24 21:36:46 2009  memory use: 11.5 MB
Fri Apr 24 21:37:20 2009  lanczos halted after 1134 iterations (dim = 71607)
Fri Apr 24 21:37:20 2009  recovered 17 nontrivial dependencies
Fri Apr 24 21:37:21 2009  prp37 factor: 3631090387354731446722862437746442697
Fri Apr 24 21:37:21 2009  prp58 factor: 1002520188473252584276320790788755291702994964270538468591
Fri Apr 24 21:37:21 2009  elapsed time 03:08:43

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 22, 2009 13:00:00 UTC 2009 年 4 月 22 日 (水) 22 時 0 分 0 秒 (日本時間)

53×10124-179

c110

name 名前Serge Batalov
date 日付April 23, 2009 02:25:44 UTC 2009 年 4 月 23 日 (木) 11 時 25 分 44 秒 (日本時間)
composite number 合成数
38261190193866987506255557978380732540145471618486590937431508095963724885554235794135631857004773884620065767<110>
prime factors 素因数
162409129263521507054727247357759<33>
235585218437968568279588300257584868514845787402833345248144612223210092321113<78>
factorization results 素因数分解の結果
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=1932810670
Step 1 took 7136ms
Step 2 took 9389ms
********** Factor found in step 2: 162409129263521507054727247357759
Found probable prime factor of 33 digits: 162409129263521507054727247357759
Probable prime cofactor has 78 digits
software ソフトウェア
GMP-ECM 6.2.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 22, 2009 13:00:00 UTC 2009 年 4 月 22 日 (水) 22 時 0 分 0 秒 (日本時間)

53×10125-179

c94

name 名前Sinkiti Sibata
date 日付April 25, 2009 01:11:03 UTC 2009 年 4 月 25 日 (土) 10 時 11 分 3 秒 (日本時間)
composite number 合成数
3752088251277616965378755358494011502094212586258828900203423274576430990063210653009341614049<94>
prime factors 素因数
333310210633105268385300246208958849<36>
11257045633707776513130579531935967239498275141186226824801<59>
factorization results 素因数分解の結果
Sat Apr 25 07:11:07 2009  Msieve v. 1.41
Sat Apr 25 07:11:07 2009  random seeds: 54733750 bd397ade
Sat Apr 25 07:11:07 2009  factoring 3752088251277616965378755358494011502094212586258828900203423274576430990063210653009341614049 (94 digits)
Sat Apr 25 07:11:08 2009  searching for 15-digit factors
Sat Apr 25 07:11:09 2009  commencing quadratic sieve (94-digit input)
Sat Apr 25 07:11:10 2009  using multiplier of 1
Sat Apr 25 07:11:10 2009  using 32kb Intel Core sieve core
Sat Apr 25 07:11:10 2009  sieve interval: 36 blocks of size 32768
Sat Apr 25 07:11:10 2009  processing polynomials in batches of 6
Sat Apr 25 07:11:10 2009  using a sieve bound of 2023667 (75294 primes)
Sat Apr 25 07:11:10 2009  using large prime bound of 271171378 (28 bits)
Sat Apr 25 07:11:10 2009  using double large prime bound of 1512999890036866 (42-51 bits)
Sat Apr 25 07:11:10 2009  using trial factoring cutoff of 51 bits
Sat Apr 25 07:11:10 2009  polynomial 'A' values have 12 factors
Sat Apr 25 10:02:45 2009  75406 relations (18873 full + 56533 combined from 1065411 partial), need 75390
Sat Apr 25 10:02:47 2009  begin with 1084284 relations
Sat Apr 25 10:02:48 2009  reduce to 194604 relations in 11 passes
Sat Apr 25 10:02:48 2009  attempting to read 194604 relations
Sat Apr 25 10:02:51 2009  recovered 194604 relations
Sat Apr 25 10:02:51 2009  recovered 177197 polynomials
Sat Apr 25 10:02:51 2009  attempting to build 75406 cycles
Sat Apr 25 10:02:51 2009  found 75406 cycles in 6 passes
Sat Apr 25 10:02:51 2009  distribution of cycle lengths:
Sat Apr 25 10:02:51 2009     length 1 : 18873
Sat Apr 25 10:02:51 2009     length 2 : 13359
Sat Apr 25 10:02:51 2009     length 3 : 12926
Sat Apr 25 10:02:51 2009     length 4 : 10168
Sat Apr 25 10:02:51 2009     length 5 : 7471
Sat Apr 25 10:02:51 2009     length 6 : 5003
Sat Apr 25 10:02:51 2009     length 7 : 3191
Sat Apr 25 10:02:51 2009     length 9+: 4415
Sat Apr 25 10:02:51 2009  largest cycle: 21 relations
Sat Apr 25 10:02:51 2009  matrix is 75294 x 75406 (19.0 MB) with weight 4689045 (62.18/col)
Sat Apr 25 10:02:51 2009  sparse part has weight 4689045 (62.18/col)
Sat Apr 25 10:02:53 2009  filtering completed in 3 passes
Sat Apr 25 10:02:53 2009  matrix is 71416 x 71480 (18.2 MB) with weight 4481400 (62.69/col)
Sat Apr 25 10:02:53 2009  sparse part has weight 4481400 (62.69/col)
Sat Apr 25 10:02:53 2009  saving the first 48 matrix rows for later
Sat Apr 25 10:02:53 2009  matrix is 71368 x 71480 (10.9 MB) with weight 3486418 (48.77/col)
Sat Apr 25 10:02:53 2009  sparse part has weight 2428371 (33.97/col)
Sat Apr 25 10:02:53 2009  matrix includes 64 packed rows
Sat Apr 25 10:02:53 2009  using block size 28592 for processor cache size 1024 kB
Sat Apr 25 10:02:53 2009  commencing Lanczos iteration
Sat Apr 25 10:02:53 2009  memory use: 10.9 MB
Sat Apr 25 10:03:25 2009  lanczos halted after 1130 iterations (dim = 71366)
Sat Apr 25 10:03:25 2009  recovered 16 nontrivial dependencies
Sat Apr 25 10:03:26 2009  prp36 factor: 333310210633105268385300246208958849
Sat Apr 25 10:03:26 2009  prp59 factor: 11257045633707776513130579531935967239498275141186226824801
Sat Apr 25 10:03:26 2009  elapsed time 02:52:19

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 22, 2009 13:00:00 UTC 2009 年 4 月 22 日 (水) 22 時 0 分 0 秒 (日本時間)

53×10126-179

c113

name 名前Erik Branger
date 日付April 23, 2009 15:20:59 UTC 2009 年 4 月 24 日 (金) 0 時 20 分 59 秒 (日本時間)
composite number 合成数
19682048087495862967660904785941718578127783173067256935609610238613756161755275463953558441169432519094303387901<113>
prime factors 素因数
4186857306152507699817842593643290853547861453707<49>
4700912079944416830169055586945991616973525269591821004558075543<64>
factorization results 素因数分解の結果
Number: 58887_126
N=19682048087495862967660904785941718578127783173067256935609610238613756161755275463953558441169432519094303387901
  ( 113 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=4186857306152507699817842593643290853547861453707
 r2=4700912079944416830169055586945991616973525269591821004558075543
Version: 
Total time: 3.85 hours.
Scaled time: 3.00 units (timescale=0.779).
Factorization parameters were as follows:
n: 19682048087495862967660904785941718578127783173067256935609610238613756161755275463953558441169432519094303387901
m: 20000000000000000000000000
deg: 5
c5: 265
c0: -272
skew: 1.01
type: snfs
lss: 1
rlim: 990000
alim: 990000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 990000/990000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [495000, 895001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 157081 x 157329
Total sieving time: 3.85 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,128,5,0,0,0,0,0,0,0,0,990000,990000,26,26,47,47,2.3,2.3,50000
total time: 3.85 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
3025e40--
351e6118 / 904Makoto KamadaApril 22, 2009 13:00:00 UTC 2009 年 4 月 22 日 (水) 22 時 0 分 0 秒 (日本時間)

53×10128-179

c98

name 名前Robert Backstrom
date 日付April 23, 2009 16:47:40 UTC 2009 年 4 月 24 日 (金) 1 時 47 分 40 秒 (日本時間)
composite number 合成数
83946129660887876362622100012087832005382299917977951928607011873563078474950417997646958051278093<98>
prime factors 素因数
112604159725354687671910018636786167653258924591<48>
745497589659523189147719856571126344213064487387523<51>
factorization results 素因数分解の結果
Number: n
N=83946129660887876362622100012087832005382299917977951928607011873563078474950417997646958051278093
  ( 98 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=112604159725354687671910018636786167653258924591 (pp48)
 r2=745497589659523189147719856571126344213064487387523 (pp51)
Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 2.60 hours.
Scaled time: 6.88 units (timescale=2.649).
Factorization parameters were as follows:
name: KA_5_8_127_7
n: 83946129660887876362622100012087832005382299917977951928607011873563078474950417997646958051278093
m: 50000000000000000000000000
deg: 5
c5: 424
c0: -425
skew: 1.00
type: snfs
lss: 1
rlim: 1070000
alim: 1070000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
qintsize: 20000
Factor base limits: 1070000/1070000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [535000, 1055001)
Primes: RFBsize:83548, AFBsize:84061, largePrimes:2777007 encountered
Relations: rels:2655347, finalFF:192381
Max relations in full relation-set: 28
Initial matrix: 167676 x 192381 with sparse part having weight 15348036.
Pruned matrix : 160977 x 161879 with weight 10790182.
Total sieving time: 2.33 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.06 hours.
Total square root time: 0.14 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,1070000,1070000,26,26,47,47,2.3,2.3,50000
total time: 2.60 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 22, 2009 13:00:00 UTC 2009 年 4 月 22 日 (水) 22 時 0 分 0 秒 (日本時間)

53×10129-179

c116

name 名前Ignacio Santos
date 日付April 23, 2009 12:08:03 UTC 2009 年 4 月 23 日 (木) 21 時 8 分 3 秒 (日本時間)
composite number 合成数
34838028594877064284253557354927967622169804547748141483986966848529666618721039767304379796183953057786696135848119<116>
prime factors 素因数
57168349928028616133688579199585387<35>
609393635442267750361101031452473824611828346367866478338485749744303280641982437<81>
factorization results 素因数分解の結果
Number: 58887_129
N=34838028594877064284253557354927967622169804547748141483986966848529666618721039767304379796183953057786696135848119
  ( 116 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=57168349928028616133688579199585387 (pp35)
 r2=609393635442267750361101031452473824611828346367866478338485749744303280641982437 (pp81)
Version: Msieve-1.39
Total time: 2.82 hours.
Scaled time: 7.26 units (timescale=2.571).
Factorization parameters were as follows:
n: 34838028594877064284253557354927967622169804547748141483986966848529666618721039767304379796183953057786696135848119
m: 100000000000000000000000000
deg: 5
c5: 53
c0: -170
skew: 1.26
type: snfs
lss: 1
rlim: 1100000
alim: 1100000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1100000/1100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [550000, 1050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 160216 x 160464
Total sieving time: 2.82 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,131,5,0,0,0,0,0,0,0,0,1100000,1100000,26,26,47,47,2.3,2.3,50000
total time: 2.82 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
3025e40--
351e6118 / 904Makoto KamadaApril 22, 2009 13:00:00 UTC 2009 年 4 月 22 日 (水) 22 時 0 分 0 秒 (日本時間)

53×10130-179

c108

name 名前Serge Batalov
date 日付April 23, 2009 04:16:41 UTC 2009 年 4 月 23 日 (木) 13 時 16 分 41 秒 (日本時間)
composite number 合成数
136847933762861630345641521460499618964693259638600633332006830957902789614521855357701923093125596328853821<108>
prime factors 素因数
2684522574849883505513247949489097<34>
50976637352551995002585907351700594122427409787504925659946717615102657493<74>
factorization results 素因数分解の結果
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=2846608915
Step 1 took 7404ms
Step 2 took 5757ms
********** Factor found in step 2: 2684522574849883505513247949489097
Found probable prime factor of 34 digits: 2684522574849883505513247949489097
Probable prime cofactor has 74 digits
software ソフトウェア
GMP-ECM 6.2.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 22, 2009 13:00:00 UTC 2009 年 4 月 22 日 (水) 22 時 0 分 0 秒 (日本時間)

53×10137-179

c117

name 名前Erik Branger
date 日付April 23, 2009 15:19:09 UTC 2009 年 4 月 24 日 (金) 0 時 19 分 9 秒 (日本時間)
composite number 合成数
148421386236793474713355586446923384287979293005900666819660923606388680051470227246194467606188867817466602149376651<117>
prime factors 素因数
5584838927938453061724271226184215519985376889149<49>
26575768460269751918333188566808886042747046132589556424376472164199<68>
factorization results 素因数分解の結果
Number: 58887_137
N=148421386236793474713355586446923384287979293005900666819660923606388680051470227246194467606188867817466602149376651
  ( 117 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=5584838927938453061724271226184215519985376889149
 r2=26575768460269751918333188566808886042747046132589556424376472164199
Version: 
Total time: 7.27 hours.
Scaled time: 7.31 units (timescale=1.005).
Factorization parameters were as follows:
n: 148421386236793474713355586446923384287979293005900666819660923606388680051470227246194467606188867817466602149376651
m: 2000000000000000000000000000
deg: 5
c5: 1325
c0: -136
skew: 0.63
type: snfs
lss: 1
rlim: 1490000
alim: 1490000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1490000/1490000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [745000, 1645001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 265186 x 265427
Total sieving time: 7.27 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,139,5,0,0,0,0,0,0,0,0,1490000,1490000,26,26,48,48,2.3,2.3,75000
total time: 7.27 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msive

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 22, 2009 13:00:00 UTC 2009 年 4 月 22 日 (水) 22 時 0 分 0 秒 (日本時間)

53×10138-179

c139

name 名前Serge Batalov
date 日付April 23, 2009 07:05:24 UTC 2009 年 4 月 23 日 (木) 16 時 5 分 24 秒 (日本時間)
composite number 合成数
5888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<139>
prime factors 素因数
14212328108433255333011168440885868143857201519173<50>
414350755482105931010853345568490156490520800534066379136735288507168858874680066897030219<90>
factorization results 素因数分解の結果
SNFS difficulty: 141 digits.
Divisors found:
 r1=14212328108433255333011168440885868143857201519173 (pp50)
 r2=414350755482105931010853345568490156490520800534066379136735288507168858874680066897030219 (pp90)
Version: Msieve-1.40
Total time: 6.39 hours.
Factorization parameters were as follows:
n: 5888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887
m: 5000000000000000000000000000
deg: 5
c5: 424
c0: -425
skew: 1.00
type: snfs
lss: 1
rlim: 1570000
alim: 1570000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1570000/1570000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [785000, 1885001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 260637 x 260870
Total sieving time: 6.00 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.23 hours.
Prototype def-par.txt line would be:
snfs,141.000,5,0,0,0,0,0,0,0,0,1570000,1570000,26,26,48,48,2.3,2.3,100000
total time: 6.39 hours.
software ソフトウェア
Msieve-1.41
execution environment 実行環境
Phenom II X4 940/openSUSE/x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 22, 2009 13:00:00 UTC 2009 年 4 月 22 日 (水) 22 時 0 分 0 秒 (日本時間)

53×10143-179

c121

name 名前Ignacio Santos
date 日付April 23, 2009 19:21:40 UTC 2009 年 4 月 24 日 (金) 4 時 21 分 40 秒 (日本時間)
composite number 合成数
3528782412284122116403286244880646943846723460132929373308594335392789097445085449072815348528186472100920160758037287181<121>
prime factors 素因数
3197499649810280310555966924736478732434405762799143<52>
1103606817437336719982382319701730917790387846170402709338588861412267<70>
factorization results 素因数分解の結果
Number: 58887_143
N=3528782412284122116403286244880646943846723460132929373308594335392789097445085449072815348528186472100920160758037287181
  ( 121 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=3197499649810280310555966924736478732434405762799143 (pp52)
 r2=1103606817437336719982382319701730917790387846170402709338588861412267 (pp70)
Version: Msieve-1.39
Total time: 9.26 hours.
Scaled time: 23.82 units (timescale=2.571).
Factorization parameters were as follows:
n: 3528782412284122116403286244880646943846723460132929373308594335392789097445085449072815348528186472100920160758037287181
m: 50000000000000000000000000000
deg: 5
c5: 424
c0: -425
skew: 1.00
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, 2455001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 319640 x 319868
Total sieving time: 9.26 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: 9.26 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
3025e40--
351e6118 / 904Makoto KamadaApril 22, 2009 13:00:00 UTC 2009 年 4 月 22 日 (水) 22 時 0 分 0 秒 (日本時間)

53×10144-179

c117

name 名前Robert Backstrom
date 日付April 23, 2009 23:28:37 UTC 2009 年 4 月 24 日 (金) 8 時 28 分 37 秒 (日本時間)
composite number 合成数
473555246026821580479096651610338154141012072413920587982512535283509902483472861171889354142003106781845080102990067<117>
prime factors 素因数
493043766422451686167629421455051011<36>
960473041699645228846742337228722619911387336255548265515490052356974875912822097<81>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.4] [ECM]
Input number is 473555246026821580479096651610338154141012072413920587982512535283509902483472861171889354142003106781845080102990067 (117 digits)
Using B1=2400000, B2=3567796060, polynomial Dickson(6), sigma=4105013632
Step 1 took 26785ms
Step 2 took 9594ms
********** Factor found in step 2: 493043766422451686167629421455051011
Found probable prime factor of 36 digits: 493043766422451686167629421455051011
Probable prime cofactor 960473041699645228846742337228722619911387336255548265515490052356974875912822097 has 81 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 22, 2009 13:00:00 UTC 2009 年 4 月 22 日 (水) 22 時 0 分 0 秒 (日本時間)

53×10147-179

c107

name 名前Ignacio Santos
date 日付April 23, 2009 19:16:15 UTC 2009 年 4 月 24 日 (金) 4 時 16 分 15 秒 (日本時間)
composite number 合成数
49497900375007139446580117975996554390248271087641053217622845679414045570759456353804961562101355551901183<107>
prime factors 素因数
2579775523673369950784734958514551180203035362426083<52>
19186902085390185374523921439602412837798066940823099701<56>
factorization results 素因数分解の結果
Number: 58887_147
N=49497900375007139446580117975996554390248271087641053217622845679414045570759456353804961562101355551901183
  ( 107 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=2579775523673369950784734958514551180203035362426083 (pp52)
 r2=19186902085390185374523921439602412837798066940823099701 (pp56)
Version: Msieve-1.39
Total time: 12.45 hours.
Scaled time: 32.15 units (timescale=2.583).
Factorization parameters were as follows:
n: 49497900375007139446580117975996554390248271087641053217622845679414045570759456353804961562101355551901183
m: 200000000000000000000000000000
deg: 5
c5: 1325
c0: -136
skew: 0.63
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1100000, 3100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 402501 x 402749
Total sieving time: 12.45 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,149,5,0,0,0,0,0,0,0,0,2200000,2200000,26,26,49,49,2.3,2.3,100000
total time: 12.45 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
3025e40--
351e6118 / 904Makoto KamadaApril 22, 2009 13:00:00 UTC 2009 年 4 月 22 日 (水) 22 時 0 分 0 秒 (日本時間)

53×10148-179

c97

name 名前Serge Batalov
date 日付April 23, 2009 05:40:47 UTC 2009 年 4 月 23 日 (木) 14 時 40 分 47 秒 (日本時間)
composite number 合成数
9847505076507975189294121039002185454967285936943322205169240479190597831569216491897858739911533<97>
prime factors 素因数
1293513234549944335404040049217391458765838967629<49>
7612991358325177921065847363673485843300748322977<49>
factorization results 素因数分解の結果
N=9847505076507975189294121039002185454967285936943322205169240479190597831569216491897858739911533
  ( 97 digits)
Divisors found:
 r1=1293513234549944335404040049217391458765838967629 (pp49)
 r2=7612991358325177921065847363673485843300748322977 (pp49)
Version: Msieve-1.40
Total time: 2.08 hours.
Factorization parameters were as follows:
n: 9847505076507975189294121039002185454967285936943322205169240479190597831569216491897858739911533
skew: 3372.48
# norm 5.25e+13
c5: 140400
c4: -913012644
c3: -6915870530610
c2: 2736702776419444
c1: 6677853531088220367
c0: 9789361965300509717732
# alpha -6.05
Y1: 1013445211
Y0: -2339871812921506437
# Murphy_E 4.64e-09
# M 1911477931379528567900052509646008537492807656147084893400253968977167626506619701535654175781347
type: gnfs
rlim: 1200000
alim: 1200000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.4
alambda: 2.4
qintsize: 60000
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [600000, 1020001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 137001 x 137249
Polynomial selection time: 0.26 hours.
Total sieving time: 1.60 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
gnfs,96,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 2.08 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 22, 2009 13:00:00 UTC 2009 年 4 月 22 日 (水) 22 時 0 分 0 秒 (日本時間)

53×10149-179

c129

name 名前Robert Backstrom
date 日付April 25, 2009 04:59:32 UTC 2009 年 4 月 25 日 (土) 13 時 59 分 32 秒 (日本時間)
composite number 合成数
394406339036956571634680918351574479618516919731322456206028760825031051850575746378939836515426834482961187849144726626761004449<129>
prime factors 素因数
131330752110030357457784241422186029366093966226597288556911<60>
3003152975980207409359615676165557286711523353567898461432663515019759<70>
factorization results 素因数分解の結果
Number: n
N=394406339036956571634680918351574479618516919731322456206028760825031051850575746378939836515426834482961187849144726626761004449
  ( 129 digits)
SNFS difficulty: 151 digits.
Divisors found:

Sat Apr 25 14:53:44 2009  prp60 factor: 131330752110030357457784241422186029366093966226597288556911
Sat Apr 25 14:53:44 2009  prp70 factor: 3003152975980207409359615676165557286711523353567898461432663515019759
Sat Apr 25 14:53:44 2009  elapsed time 00:30:53 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 14.25 hours.
Scaled time: 23.12 units (timescale=1.623).
Factorization parameters were as follows:
name: KA_5_8_148_7
n: 394406339036956571634680918351574479618516919731322456206028760825031051850575746378939836515426834482961187849144726626761004449
m: 1000000000000000000000000000000
deg: 5
c5: 53
c0: -170
skew: 1.26
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [1200000, 2100000)
Primes: RFBsize:176302, AFBsize:177593, largePrimes:12023284 encountered
Relations: rels:11768502, finalFF:640523
Max relations in full relation-set: 28
Initial matrix: 353960 x 640523 with sparse part having weight 76137185.
Pruned matrix : 278048 x 279881 with weight 34253707.

Msieve: found 1026664 hash collisions in 12593327 relations
Msieve: matrix is 353458 x 353706 (92.8 MB)

Total sieving time: 13.96 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 0.02 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,28,28,56,56,2.4,2.4,100000
total time: 14.25 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 22, 2009 13:00:00 UTC 2009 年 4 月 22 日 (水) 22 時 0 分 0 秒 (日本時間)

53×10150-179

c122

name 名前Ignacio Santos
date 日付April 25, 2009 20:06:12 UTC 2009 年 4 月 26 日 (日) 5 時 6 分 12 秒 (日本時間)
composite number 合成数
99534050801307145446580083087138050744490378834399385389609897359260896132388374257778620864667781554294052423079449182857<122>
prime factors 素因数
646588374346983737232638435333887307048501<42>
153937272537308898972231509958686605521190984086624596387981731443058693734868357<81>
factorization results 素因数分解の結果
Number: 58887_150
N=99534050801307145446580083087138050744490378834399385389609897359260896132388374257778620864667781554294052423079449182857
  ( 122 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=646588374346983737232638435333887307048501 (pp42)
 r2=153937272537308898972231509958686605521190984086624596387981731443058693734868357 (pp81)
Version: Msieve-1.39
Total time: 13.05 hours.
Scaled time: 33.54 units (timescale=2.571).
Factorization parameters were as follows:
n: 99534050801307145446580083087138050744490378834399385389609897359260896132388374257778620864667781554294052423079449182857
m: 1000000000000000000000000000000
deg: 5
c5: 53
c0: -17
skew: 0.80
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1200000, 1900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 410988 x 411236
Total sieving time: 13.05 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,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,49,49,2.4,2.4,100000
total time: 13.05 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
3025e40--
351e6118 / 904Makoto KamadaApril 22, 2009 13:00:00 UTC 2009 年 4 月 22 日 (水) 22 時 0 分 0 秒 (日本時間)

53×10153-179

c127

name 名前Ignacio Santos
date 日付April 26, 2009 15:12:36 UTC 2009 年 4 月 27 日 (月) 0 時 12 分 36 秒 (日本時間)
composite number 合成数
6012496321152096259587445596313959195882890027045872444206377914501626152518858072335323398759172848423407980293982711731882453<127>
prime factors 素因数
1259429971180200006189700716076596071<37>
4773982244934065198215618554300837516932709210804279640544817629668719303310081359797913443<91>
factorization results 素因数分解の結果
Number: 58887_153
N=6012496321152096259587445596313959195882890027045872444206377914501626152518858072335323398759172848423407980293982711731882453
  ( 127 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=1259429971180200006189700716076596071 (pp37)
 r2=4773982244934065198215618554300837516932709210804279640544817629668719303310081359797913443 (pp91)
Version: Msieve-1.39
Total time: 22.23 hours.
Scaled time: 57.14 units (timescale=2.571).
Factorization parameters were as follows:
n: 6012496321152096259587445596313959195882890027045872444206377914501626152518858072335323398759172848423407980293982711731882453
m: 5000000000000000000000000000000
deg: 5
c5: 424
c0: -425
skew: 1.00
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1400000, 2600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 520131 x 520379
Total sieving time: 22.23 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,156,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 22.23 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
3025e40--
351e6118 / 904Makoto KamadaApril 22, 2009 13:00:00 UTC 2009 年 4 月 22 日 (水) 22 時 0 分 0 秒 (日本時間)

53×10155-179

c145

name 名前Robert Backstrom
date 日付April 27, 2009 01:20:20 UTC 2009 年 4 月 27 日 (月) 10 時 20 分 20 秒 (日本時間)
composite number 合成数
3578402107835750531698448482643947610984702739732320519120106422645908869862545312176728426906934381208959970689773175902877349108209185797638459<145>
prime factors 素因数
4922032361863921654624733150235114276655806509234915061421645406483<67>
727017184113077927619676603072589808158867829035481257917742796614728442684473<78>
factorization results 素因数分解の結果
Number: n
N=3578402107835750531698448482643947610984702739732320519120106422645908869862545312176728426906934381208959970689773175902877349108209185797638459
  ( 145 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=4922032361863921654624733150235114276655806509234915061421645406483 (pp67)
 r2=727017184113077927619676603072589808158867829035481257917742796614728442684473 (pp78)
Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 19.09 hours.
Scaled time: 48.76 units (timescale=2.554).
Factorization parameters were as follows:
name: KA_5_8_154_7
n: 3578402107835750531698448482643947610984702739732320519120106422645908869862545312176728426906934381208959970689773175902877349108209185797638459
m: 10000000000000000000000000000000
deg: 5
c5: 53
c0: -17
skew: 0.80
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved rational special-q in [1450000, 2550001)
Primes: RFBsize:210109, AFBsize:209174, largePrimes:13191696 encountered
Relations: rels:12964330, finalFF:660670
Max relations in full relation-set: 28
Initial matrix: 419348 x 660670 with sparse part having weight 77279116.
Pruned matrix : 341602 x 343762 with weight 40442152.
Total sieving time: 17.68 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 0.70 hours.
Total square root time: 0.44 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2900000,2900000,28,28,56,56,2.4,2.4,100000
total time: 19.09 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 22, 2009 13:00:00 UTC 2009 年 4 月 22 日 (水) 22 時 0 分 0 秒 (日本時間)

53×10161-179

c156

name 名前Robert Backstrom
date 日付April 27, 2009 08:59:07 UTC 2009 年 4 月 27 日 (月) 17 時 59 分 7 秒 (日本時間)
composite number 合成数
150488999807799992509622990698558863388953783720787139244149406501198616489318219808265088701481814071635773688508952434430736032327990150409780126769094023<156>
prime factors 素因数
40079032860800981034271182219977895493<38>
3845042550038572909061181163224247339297802581922082119<55>
976531759921969567716202456727446938275394815869598707738421069<63>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.4] [ECM]
Input number is 150488999807799992509622990698558863388953783720787139244149406501198616489318219808265088701481814071635773688508952434430736032327990150409780126769094023 (156 digits)
Using B1=1398000, B2=2139965110, polynomial Dickson(6), sigma=2643783734
Step 1 took 23821ms
Step 2 took 9563ms
********** Factor found in step 2: 40079032860800981034271182219977895493
Found probable prime factor of 38 digits: 40079032860800981034271182219977895493
Composite cofactor 3754806168364025338444730098765301182030827656499506159990711901017869567305316246258327391762206262324084086017765211 has 118 digits


Number: n
N=3754806168364025338444730098765301182030827656499506159990711901017869567305316246258327391762206262324084086017765211
  ( 118 digits)
Divisors found:

Mon Apr 27 18:53:56 2009  prp55 factor: 3845042550038572909061181163224247339297802581922082119
Mon Apr 27 18:53:56 2009  prp63 factor: 976531759921969567716202456727446938275394815869598707738421069
Mon Apr 27 18:53:56 2009  elapsed time 00:56:10 (Msieve 1.39 - dependency 2)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 27.34 hours.
Scaled time: 72.15 units (timescale=2.639).
Factorization parameters were as follows:
name: KA_5_8_160_7
n: 3754806168364025338444730098765301182030827656499506159990711901017869567305316246258327391762206262324084086017765211
Y0: -46560131168840686478827
Y1:  3378042388439
c0:  81517691767964263443146531760
c1:  2433157487496539211369302
c2: -4257028842031457161
c3: -501233010921252
c4: -401084884
c5:  17160
skew: 94782.03
type: gnfs
rlim: 4500000
alim: 4500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 50000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [2250000, 3750001)
Primes: RFBsize:315948, AFBsize:316419, largePrimes:14325298 encountered
Relations: rels:13552992, finalFF:777281
Max relations in full relation-set: 28
Initial matrix: 632452 x 777281 with sparse part having weight 74821822.
Pruned matrix : 

Msieve: found 1227986 hash collisions in 14513606 relations
Msieve: matrix is 580380 x 580628 (160.7 MB)

Total sieving time: 26.66 hours.
Total relation processing time: 0.68 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,117,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,28,28,56,56,2.4,2.4,60000
total time: 27.34 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 22, 2009 13:00:00 UTC 2009 年 4 月 22 日 (水) 22 時 0 分 0 秒 (日本時間)

53×10163-179

c140

name 名前Ignacio Santos
date 日付April 29, 2009 23:49:00 UTC 2009 年 4 月 30 日 (木) 8 時 49 分 0 秒 (日本時間)
composite number 合成数
29717473657351880511406397184182422265767672183342114852866813048791098856416018648200989323953206454366254829764036411860857577932495626927<140>
prime factors 素因数
62622882318570911412650973707031773485945464667516361<53>
474546564403968967469298671548430514892021736391287023805749850667560421046179684788407<87>
factorization results 素因数分解の結果
Number: 58887_163
N=29717473657351880511406397184182422265767672183342114852866813048791098856416018648200989323953206454366254829764036411860857577932495626927
  ( 140 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=62622882318570911412650973707031773485945464667516361 (pp53)
 r2=474546564403968967469298671548430514892021736391287023805749850667560421046179684788407 (pp87)
Version: Msieve-1.39
Total time: 50.02 hours.
Scaled time: 128.54 units (timescale=2.570).
Factorization parameters were as follows:
n: 29717473657351880511406397184182422265767672183342114852866813048791098856416018648200989323953206454366254829764036411860857577932495626927
m: 500000000000000000000000000000000
deg: 5
c5: 424
c0: -425
skew: 1.00
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, 4650001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 766824 x 767072
Total sieving time: 50.02 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: 50.02 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
3025e40--
351e6118 / 904Makoto KamadaApril 22, 2009 13:00:00 UTC 2009 年 4 月 22 日 (水) 22 時 0 分 0 秒 (日本時間)

53×10164-179

c159

name 名前Ignacio Santos
date 日付April 24, 2009 12:00:48 UTC 2009 年 4 月 24 日 (金) 21 時 0 分 48 秒 (日本時間)
composite number 合成数
735213231951590231540841857992038334295352911368102815547623575819141983963196057925369753299893616032531382160647420448887906754986583745711660745425759901831<159>
prime factors 素因数
26420433379971578160086373777968563<35>
1931614398915714664197849198169905631094719<43>
14406316220093108541547534674609427084176701563508733048745187396069463990428743523<83>
factorization results 素因数分解の結果
Number: 58887_164
N=735213231951590231540841857992038334295352911368102815547623575819141983963196057925369753299893616032531382160647420448887906754986583745711660745425759901831
  ( 159 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=26420433379971578160086373777968563 (pp35)
 r2=1931614398915714664197849198169905631094719 (pp43)
 r3=14406316220093108541547534674609427084176701563508733048745187396069463990428743523 (pp83)
Version: Msieve-1.39
Total time: 44.59 hours.
Scaled time: 77.54 units (timescale=1.739).
Factorization parameters were as follows:
n: 735213231951590231540841857992038334295352911368102815547623575819141983963196057925369753299893616032531382160647420448887906754986583745711660745425759901831
m: 1000000000000000000000000000000000
deg: 5
c5: 53
c0: -170
skew: 1.26
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2100000, 4700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 784296 x 784544
Total sieving time: 44.59 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,166,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 44.59 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
3025e40--
351e6118 / 904Makoto KamadaApril 22, 2009 13:00:00 UTC 2009 年 4 月 22 日 (水) 22 時 0 分 0 秒 (日本時間)

53×10165-179

c129

name 名前Markus Tervooren
date 日付May 12, 2009 22:43:52 UTC 2009 年 5 月 13 日 (水) 7 時 43 分 52 秒 (日本時間)
composite number 合成数
304349669563139773775039543739558410678652128462622576347732269179402880997642153306106637637619365345888591599963791904886218573<129>
prime factors 素因数
105286041996195116463905211753052493939462823619<48>
2890693427093959193600294796557751916681459460044103037225919482688402201684641967<82>
factorization results 素因数分解の結果
N=304349669563139773775039543739558410678652128462622576347732269179402880997642153306106637637619365345888591599963791904886218573
  ( 129 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=105286041996195116463905211753052493939462823619 (pp48)
 r2=2890693427093959193600294796557751916681459460044103037225919482688402201684641967 (pp82)
Version: Msieve-1.39
Total time: 23.99 hours.
Scaled time: 55.15 units (timescale=2.299).
Factorization parameters were as follows:
n: 304349669563139773775039543739558410678652128462622576347732269179402880997642153306106637637619365345888591599963791904886218573
m: 1000000000000000000000000000000000
deg: 5
c5: 53
c0: -17
skew: 0.80
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 26
lpba: 26
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4

Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 51/51
Sieved rational special-q in [2100000, 4500001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 688361 x 688609
Total sieving time: 23.27 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.55 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4200000,4200000,26,26,51,51,2.4,2.4,200000
total time: 23.99 hours.
 --------- CPU info (if available) ----------
[    0.144009] CPU0: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.236014] CPU1: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.331180] CPU2: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.428163] CPU3: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.004000] Memory: 8197992k/10485760k available (2226k kernel code, 189844k reserved, 1082k data, 392k init)
[    0.083917] Calibrating delay using timer specific routine.. 6004.15 BogoMIPS (lpj=12008301)
[    0.156009] Calibrating delay using timer specific routine.. 5999.99 BogoMIPS (lpj=11999993)
[    0.248015] Calibrating delay using timer specific routine.. 6000.00 BogoMIPS (lpj=12000012)
[    0.347710] Calibrating delay using timer specific routine.. 6000.00 BogoMIPS (lpj=12000008)
[    0.435711] Total of 4 processors activated (24004.15 BogoMIPS).
software ソフトウェア
msieve 1.41, ggnfs
execution environment 実行環境
Q6700, 3 cores

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 22, 2009 13:00:00 UTC 2009 年 4 月 22 日 (水) 22 時 0 分 0 秒 (日本時間)

53×10169-179

c166

name 名前Ignacio Santos
date 日付April 27, 2009 14:42:02 UTC 2009 年 4 月 27 日 (月) 23 時 42 分 2 秒 (日本時間)
composite number 合成数
1907826769329344895483490099099001810635594288038646090934943107165869339064012987620724038257326234777882168299118440045643855537917157122133310295425175394074218061<166>
prime factors 素因数
10349469969241347631837446124602660629190655792332907<53>
184340529031864544303987400282044404412493423618646133662587944074027945204887635621848468895056963952913120131623<114>
factorization results 素因数分解の結果
Number: 58887_169
N=1907826769329344895483490099099001810635594288038646090934943107165869339064012987620724038257326234777882168299118440045643855537917157122133310295425175394074218061
  ( 166 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=10349469969241347631837446124602660629190655792332907 (pp53)
 r2=184340529031864544303987400282044404412493423618646133662587944074027945204887635621848468895056963952913120131623 (pp114)
Version: Msieve-1.39
Total time: 72.50 hours.
Scaled time: 186.41 units (timescale=2.571).
Factorization parameters were as follows:
n: 1907826769329344895483490099099001810635594288038646090934943107165869339064012987620724038257326234777882168299118440045643855537917157122133310295425175394074218061
m: 10000000000000000000000000000000000
deg: 5
c5: 53
c0: -170
skew: 1.26
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2550000, 6150001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1038042 x 1038289
Total sieving time: 72.50 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,171,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 72.50 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
3025e40--
351e6118 / 904Makoto KamadaApril 22, 2009 13:00:00 UTC 2009 年 4 月 22 日 (水) 22 時 0 分 0 秒 (日本時間)

53×10170-179

c146

name 名前Jo Yeong Uk
date 日付October 6, 2009 23:36:15 UTC 2009 年 10 月 7 日 (水) 8 時 36 分 15 秒 (日本時間)
composite number 合成数
10299302603719411508616502097188696854986727292241823681488296293899090572336868769552116649099303398527333908486413361785907527066254281534906361<146>
prime factors 素因数
193846180805187407600600338763753217911145985598911<51>
53131315566490633270278975197275951466009849466986055887204243258100677263931552140266771322951<95>
factorization results 素因数分解の結果
Number: 58887_170
N=10299302603719411508616502097188696854986727292241823681488296293899090572336868769552116649099303398527333908486413361785907527066254281534906361
  ( 146 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=193846180805187407600600338763753217911145985598911
 r2=53131315566490633270278975197275951466009849466986055887204243258100677263931552140266771322951
Version: 
Total time: 40.30 hours.
Scaled time: 96.07 units (timescale=2.384).
Factorization parameters were as follows:
n: 10299302603719411508616502097188696854986727292241823681488296293899090572336868769552116649099303398527333908486413361785907527066254281534906361
m: 10000000000000000000000000000000000
deg: 5
c5: 53
c0: -17
skew: 0.80
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [3000000, 6000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 11211532
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1011596 x 1011844
Total sieving time: 36.00 hours.
Total relation processing time: 1.69 hours.
Matrix solve time: 2.35 hours.
Time per square root: 0.26 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,52,52,2.4,2.4,100000
total time: 40.30 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: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673798)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672348)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672343)
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
351e6118Makoto KamadaApril 22, 2009 13:00:00 UTC 2009 年 4 月 22 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62500Dmitry DomanovJune 12, 2009 17:36:55 UTC 2009 年 6 月 13 日 (土) 2 時 36 分 55 秒 (日本時間)

53×10172-179

c146

name 名前Wataru Sakai
date 日付September 17, 2009 14:32:52 UTC 2009 年 9 月 17 日 (木) 23 時 32 分 52 秒 (日本時間)
composite number 合成数
39589051414335786219779136907255676791651409958393399062648114925032159590315040696903315183432781704808484207829668531805818885421344665748404991<146>
prime factors 素因数
208315392186507557875574457526219127<36>
190043812887773452615147548555234527720338584588002284271867096892313001181562043797469305967347210061472949433<111>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2640349756
Step 1 took 47357ms
Step 2 took 15663ms
********** Factor found in step 2: 208315392186507557875574457526219127
Found probable prime factor of 36 digits: 208315392186507557875574457526219127
Probable prime cofactor 190043812887773452615147548555234527720338584588002284271867096892313001181562043797469305967347210061472949433 has 111 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
3025e40--
351e6118 / 904Makoto KamadaApril 22, 2009 13:00:00 UTC 2009 年 4 月 22 日 (水) 22 時 0 分 0 秒 (日本時間)

53×10173-179

c148

name 名前Wataru Sakai
date 日付February 25, 2010 05:52:19 UTC 2010 年 2 月 25 日 (木) 14 時 52 分 19 秒 (日本時間)
composite number 合成数
1026835583763134757111827743505291707298409787469351610735503794427710637760652455066965204525218862138477944518935430298676319066586637571255996521<148>
prime factors 素因数
2304234693696564452184889753635478729<37>
445629773118221555360661795059797928608659721343404960229733255857158430909747499740789126681201443189374617249<111>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2779584171
Step 1 took 47347ms
Step 2 took 15487ms
********** Factor found in step 2: 2304234693696564452184889753635478729
Found probable prime factor of 37 digits: 2304234693696564452184889753635478729
Probable prime cofactor 445629773118221555360661795059797928608659721343404960229733255857158430909747499740789126681201443189374617249 has 111 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
3025e40--
351e6118 / 904Makoto KamadaApril 22, 2009 13:00:00 UTC 2009 年 4 月 22 日 (水) 22 時 0 分 0 秒 (日本時間)

53×10174-179

c146

name 名前Markus Tervooren
date 日付July 4, 2012 11:30:15 UTC 2012 年 7 月 4 日 (水) 20 時 30 分 15 秒 (日本時間)
composite number 合成数
46670182687182823858190388202052272707202530760852156637261367736981057260922608933352482598528167825942744674211516865779491264626564234965111347<146>
prime factors 素因数
94477344411455237397371776504048434903560228374174051674823<59>
493982795324252717538637342714292805585357901311720346644447040842949360065368174612789<87>
factorization results 素因数分解の結果
~ 40 hours of sieving @3.6ghz Phenom 2

Wed Jul  4 03:56:24 2012  searching for 15-digit factors
Wed Jul  4 03:56:25 2012  commencing number field sieve (146-digit input)
Wed Jul  4 03:56:25 2012  R0: -50000000000000000000000000000000000
Wed Jul  4 03:56:25 2012  R1: 1
Wed Jul  4 03:56:25 2012  A0: -85
Wed Jul  4 03:56:25 2012  A1: 0
Wed Jul  4 03:56:25 2012  A2: 0
Wed Jul  4 03:56:25 2012  A3: 0
Wed Jul  4 03:56:25 2012  A4: 0
Wed Jul  4 03:56:25 2012  A5: 848
Wed Jul  4 03:56:25 2012  skew 0.63, size 1.764e-12, alpha 0.407, combined = 1.192e-10 rroots = 1
Wed Jul  4 03:56:25 2012  
Wed Jul  4 03:56:25 2012  commencing relation filtering
Wed Jul  4 03:56:25 2012  estimated available RAM is 16079.7 MB
Wed Jul  4 03:56:25 2012  commencing duplicate removal, pass 1
Wed Jul  4 03:56:27 2012  error -9 reading relation 186026
Wed Jul  4 03:56:28 2012  error -15 reading relation 306122
Wed Jul  4 03:56:32 2012  error -9 reading relation 731525
Wed Jul  4 03:56:37 2012  error -9 reading relation 1147540
Wed Jul  4 03:56:55 2012  error -5 reading relation 2917973
Wed Jul  4 03:57:00 2012  error -9 reading relation 3442165
Wed Jul  4 03:57:05 2012  error -15 reading relation 3984065
Wed Jul  4 03:57:30 2012  error -9 reading relation 6379704
Wed Jul  4 03:57:35 2012  error -1 reading relation 6874933
Wed Jul  4 03:57:40 2012  error -11 reading relation 7384409
Wed Jul  4 03:58:03 2012  error -9 reading relation 9670903
Wed Jul  4 03:58:08 2012  error -15 reading relation 10138990
Wed Jul  4 03:58:13 2012  error -15 reading relation 10619976
Wed Jul  4 03:58:35 2012  error -15 reading relation 12782841
Wed Jul  4 03:58:39 2012  error -15 reading relation 13228009
Wed Jul  4 03:58:44 2012  error -15 reading relation 13685543
Wed Jul  4 03:59:05 2012  error -5 reading relation 15731107
Wed Jul  4 03:59:09 2012  error -9 reading relation 16153846
Wed Jul  4 03:59:13 2012  error -9 reading relation 16588515
Wed Jul  4 03:59:33 2012  error -9 reading relation 18552948
Wed Jul  4 03:59:36 2012  error -15 reading relation 18779425
Wed Jul  4 03:59:39 2012  error -11 reading relation 19159981
Wed Jul  4 03:59:44 2012  error -15 reading relation 19618184
Wed Jul  4 03:59:49 2012  error -15 reading relation 20067396
Wed Jul  4 03:59:53 2012  error -15 reading relation 20505202
Wed Jul  4 03:59:58 2012  found 2811544 hash collisions in 20939784 relations
Wed Jul  4 04:00:31 2012  added 707273 free relations
Wed Jul  4 04:00:31 2012  commencing duplicate removal, pass 2
Wed Jul  4 04:01:37 2012  found 2459483 duplicates and 19187574 unique relations
Wed Jul  4 04:01:37 2012  memory use: 98.6 MB
Wed Jul  4 04:01:37 2012  reading ideals above 720000
Wed Jul  4 04:01:37 2012  commencing singleton removal, initial pass
Wed Jul  4 04:06:23 2012  memory use: 376.5 MB
Wed Jul  4 04:06:23 2012  reading all ideals from disk
Wed Jul  4 04:06:29 2012  memory use: 582.5 MB
Wed Jul  4 04:06:32 2012  keeping 20029858 ideals with weight <= 200, target excess is 116159
Wed Jul  4 04:06:35 2012  commencing in-memory singleton removal
Wed Jul  4 04:06:38 2012  begin with 19187573 relations and 20029858 unique ideals
Wed Jul  4 04:07:04 2012  reduce to 8917511 relations and 7586340 ideals in 14 passes
Wed Jul  4 04:07:04 2012  max relations containing the same ideal: 120
Wed Jul  4 04:07:12 2012  removing 1958761 relations and 1558761 ideals in 400000 cliques
Wed Jul  4 04:07:12 2012  commencing in-memory singleton removal
Wed Jul  4 04:07:13 2012  begin with 6958750 relations and 7586340 unique ideals
Wed Jul  4 04:07:24 2012  reduce to 6700520 relations and 5756055 ideals in 9 passes
Wed Jul  4 04:07:24 2012  max relations containing the same ideal: 100
Wed Jul  4 04:07:29 2012  removing 1497868 relations and 1097868 ideals in 400000 cliques
Wed Jul  4 04:07:29 2012  commencing in-memory singleton removal
Wed Jul  4 04:07:30 2012  begin with 5202652 relations and 5756055 unique ideals
Wed Jul  4 04:07:38 2012  reduce to 4986850 relations and 4430116 ideals in 9 passes
Wed Jul  4 04:07:38 2012  max relations containing the same ideal: 79
Wed Jul  4 04:07:41 2012  removing 1354804 relations and 954804 ideals in 400000 cliques
Wed Jul  4 04:07:42 2012  commencing in-memory singleton removal
Wed Jul  4 04:07:42 2012  begin with 3632046 relations and 4430116 unique ideals
Wed Jul  4 04:07:47 2012  reduce to 3386414 relations and 3211115 ideals in 9 passes
Wed Jul  4 04:07:47 2012  max relations containing the same ideal: 58
Wed Jul  4 04:07:50 2012  removing 236754 relations and 196200 ideals in 40554 cliques
Wed Jul  4 04:07:50 2012  commencing in-memory singleton removal
Wed Jul  4 04:07:50 2012  begin with 3149660 relations and 3211115 unique ideals
Wed Jul  4 04:07:53 2012  reduce to 3139325 relations and 3004450 ideals in 6 passes
Wed Jul  4 04:07:53 2012  max relations containing the same ideal: 55
Wed Jul  4 04:07:56 2012  relations with 0 large ideals: 2876
Wed Jul  4 04:07:56 2012  relations with 1 large ideals: 1768
Wed Jul  4 04:07:56 2012  relations with 2 large ideals: 25830
Wed Jul  4 04:07:56 2012  relations with 3 large ideals: 151200
Wed Jul  4 04:07:56 2012  relations with 4 large ideals: 463927
Wed Jul  4 04:07:56 2012  relations with 5 large ideals: 815863
Wed Jul  4 04:07:56 2012  relations with 6 large ideals: 889190
Wed Jul  4 04:07:56 2012  relations with 7+ large ideals: 788671
Wed Jul  4 04:07:56 2012  commencing 2-way merge
Wed Jul  4 04:07:59 2012  reduce to 2005476 relation sets and 1870601 unique ideals
Wed Jul  4 04:07:59 2012  commencing full merge
Wed Jul  4 04:08:38 2012  memory use: 227.5 MB
Wed Jul  4 04:08:38 2012  found 1024803 cycles, need 1006801
Wed Jul  4 04:08:38 2012  weight of 1006801 cycles is about 70674299 (70.20/cycle)
Wed Jul  4 04:08:38 2012  distribution of cycle lengths:
Wed Jul  4 04:08:38 2012  1 relations: 107751
Wed Jul  4 04:08:38 2012  2 relations: 109436
Wed Jul  4 04:08:38 2012  3 relations: 113386
Wed Jul  4 04:08:38 2012  4 relations: 109597
Wed Jul  4 04:08:38 2012  5 relations: 102275
Wed Jul  4 04:08:38 2012  6 relations: 91566
Wed Jul  4 04:08:38 2012  7 relations: 78645
Wed Jul  4 04:08:38 2012  8 relations: 65939
Wed Jul  4 04:08:38 2012  9 relations: 54621
Wed Jul  4 04:08:38 2012  10+ relations: 173585
Wed Jul  4 04:08:38 2012  heaviest cycle: 21 relations
Wed Jul  4 04:08:39 2012  commencing cycle optimization
Wed Jul  4 04:08:40 2012  start with 5859307 relations
Wed Jul  4 04:08:50 2012  pruned 164380 relations
Wed Jul  4 04:08:50 2012  memory use: 187.6 MB
Wed Jul  4 04:08:50 2012  distribution of cycle lengths:
Wed Jul  4 04:08:50 2012  1 relations: 107751
Wed Jul  4 04:08:50 2012  2 relations: 111674
Wed Jul  4 04:08:50 2012  3 relations: 117413
Wed Jul  4 04:08:50 2012  4 relations: 112914
Wed Jul  4 04:08:50 2012  5 relations: 105492
Wed Jul  4 04:08:50 2012  6 relations: 93595
Wed Jul  4 04:08:50 2012  7 relations: 80284
Wed Jul  4 04:08:50 2012  8 relations: 66533
Wed Jul  4 04:08:50 2012  9 relations: 54109
Wed Jul  4 04:08:50 2012  10+ relations: 157036
Wed Jul  4 04:08:50 2012  heaviest cycle: 20 relations
Wed Jul  4 04:08:52 2012  RelProcTime: 747
Wed Jul  4 04:08:52 2012  
Wed Jul  4 04:08:52 2012  commencing linear algebra
Wed Jul  4 04:08:53 2012  read 1006801 cycles
Wed Jul  4 04:08:54 2012  cycles contain 3056038 unique relations
Wed Jul  4 04:10:09 2012  read 3056038 relations
Wed Jul  4 04:10:14 2012  using 20 quadratic characters above 268435400
Wed Jul  4 04:10:27 2012  building initial matrix
Wed Jul  4 04:10:57 2012  memory use: 378.7 MB
Wed Jul  4 04:10:58 2012  read 1006801 cycles
Wed Jul  4 04:10:58 2012  matrix is 1006898 x 1006801 (300.8 MB) with weight 89010736 (88.41/col)
Wed Jul  4 04:10:58 2012  sparse part has weight 67781062 (67.32/col)
Wed Jul  4 04:11:08 2012  filtering completed in 2 passes
Wed Jul  4 04:11:08 2012  matrix is 1006048 x 1006120 (300.7 MB) with weight 88984606 (88.44/col)
Wed Jul  4 04:11:08 2012  sparse part has weight 67769192 (67.36/col)
Wed Jul  4 04:11:11 2012  matrix starts at (0, 0)
Wed Jul  4 04:11:12 2012  matrix is 1006048 x 1006120 (300.7 MB) with weight 88984606 (88.44/col)
Wed Jul  4 04:11:12 2012  sparse part has weight 67769192 (67.36/col)
Wed Jul  4 04:11:12 2012  saving the first 48 matrix rows for later
Wed Jul  4 04:11:12 2012  matrix includes 64 packed rows
Wed Jul  4 04:11:12 2012  matrix is 1006000 x 1006120 (285.5 MB) with weight 70730000 (70.30/col)
Wed Jul  4 04:11:12 2012  sparse part has weight 64770233 (64.38/col)
Wed Jul  4 04:11:12 2012  using block size 65536 for processor cache size 6144 kB
Wed Jul  4 04:11:15 2012  commencing Lanczos iteration (4 threads)
Wed Jul  4 04:11:15 2012  memory use: 248.5 MB
Wed Jul  4 04:11:19 2012  linear algebra at 0.2%, ETA 0h44m
Wed Jul  4 04:11:20 2012  checkpointing every 1470000 dimensions
Wed Jul  4 04:58:53 2012  lanczos halted after 15909 iterations (dim = 1005949)
Wed Jul  4 04:58:54 2012  recovered 29 nontrivial dependencies
Wed Jul  4 04:58:54 2012  BLanczosTime: 3002
Wed Jul  4 04:58:54 2012  
Wed Jul  4 04:58:54 2012  commencing square root phase
Wed Jul  4 04:58:54 2012  reading relations for dependency 1
Wed Jul  4 04:58:54 2012  read 503420 cycles
Wed Jul  4 04:58:55 2012  cycles contain 1528130 unique relations
Wed Jul  4 05:00:25 2012  read 1528130 relations
Wed Jul  4 05:00:31 2012  multiplying 1528130 relations
Wed Jul  4 05:01:06 2012  multiply complete, coefficients have about 48.17 million bits
Wed Jul  4 05:01:06 2012  initial square root is modulo 8225941
Wed Jul  4 05:01:53 2012  GCD is N, no factor found
Wed Jul  4 05:01:53 2012  reading relations for dependency 2
Wed Jul  4 05:01:53 2012  read 503736 cycles
Wed Jul  4 05:01:54 2012  cycles contain 1528982 unique relations
Wed Jul  4 05:03:25 2012  read 1528982 relations
Wed Jul  4 05:03:30 2012  multiplying 1528982 relations
Wed Jul  4 05:04:05 2012  multiply complete, coefficients have about 48.19 million bits
Wed Jul  4 05:04:06 2012  initial square root is modulo 8305901
Wed Jul  4 05:04:53 2012  GCD is N, no factor found
Wed Jul  4 05:04:53 2012  reading relations for dependency 3
Wed Jul  4 05:04:53 2012  read 503027 cycles
Wed Jul  4 05:04:53 2012  cycles contain 1526360 unique relations
Wed Jul  4 05:06:24 2012  read 1526360 relations
Wed Jul  4 05:06:30 2012  multiplying 1526360 relations
Wed Jul  4 05:07:05 2012  multiply complete, coefficients have about 48.11 million bits
Wed Jul  4 05:07:05 2012  initial square root is modulo 8086801
Wed Jul  4 05:07:52 2012  sqrtTime: 538
Wed Jul  4 05:07:52 2012  prp59 factor: 94477344411455237397371776504048434903560228374174051674823
Wed Jul  4 05:07:52 2012  prp87 factor: 493982795324252717538637342714292805585357901311720346644447040842949360065368174612789
Wed Jul  4 05:07:52 2012  elapsed time 01:11:28

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaApril 22, 2009 13:00:00 UTC 2009 年 4 月 22 日 (水) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 29, 2010 15:29:16 UTC 2010 年 5 月 30 日 (日) 0 時 29 分 16 秒 (日本時間)
403e62428110Ignacio SantosMay 29, 2010 15:29:16 UTC 2010 年 5 月 30 日 (日) 0 時 29 分 16 秒 (日本時間)
2318Wataru SakaiMay 30, 2010 04:18:20 UTC 2010 年 5 月 30 日 (日) 13 時 18 分 20 秒 (日本時間)
4511e632 / 3924Ignacio SantosMay 29, 2010 15:29:16 UTC 2010 年 5 月 30 日 (日) 0 時 29 分 16 秒 (日本時間)

53×10175-179

c137

name 名前Erik Branger
date 日付August 10, 2011 19:43:04 UTC 2011 年 8 月 11 日 (木) 4 時 43 分 4 秒 (日本時間)
composite number 合成数
35967958656839156237330500958996754719162798090734526819434877925473723695693355563282668574608562314599573889247247308783951533014626273<137>
prime factors 素因数
64213906236378218837062493226542858935536321076843<50>
560127249141911329347602061817361495759114461819200533472692599040846059444250550167011<87>
factorization results 素因数分解の結果
GMP-ECM 6.3.1 [configured with MPIR 2.4.0, --enable-asm-redc] [ECM]
Input number is 35967958656839156237330500958996754719162798090734526819434877925473723695693355563282668574608562314599573889247247308783951533014626273
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=881074462
Step 1 took 11528ms
Step 2 took 5273ms
********** Factor found in step 2: 64213906236378218837062493226542858935536321076843
Found probable prime factor of 50 digits: 64213906236378218837062493226542858935536321076843
Probable prime cofactor 560127249141911329347602061817361495759114461819200533472692599040846059444250550167011 has 87 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 22, 2009 13:00:00 UTC 2009 年 4 月 22 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61500 / 2318300Dmitry DomanovMay 31, 2011 06:40:30 UTC 2011 年 5 月 31 日 (火) 15 時 40 分 30 秒 (日本時間)
1200Serge BatalovJuly 10, 2011 23:26:03 UTC 2011 年 7 月 11 日 (月) 8 時 26 分 3 秒 (日本時間)

53×10179-179

c123

name 名前Erik Branger
date 日付May 17, 2009 20:32:15 UTC 2009 年 5 月 18 日 (月) 5 時 32 分 15 秒 (日本時間)
composite number 合成数
132640525749294118102139295123428335192313886562409838069300157486717226157984219970666790975658435729365925900696341064979<123>
prime factors 素因数
1267882575806183686123062369811279771630970712791<49>
104615780893553633888163173944050869226186736163185458497293997297646226469<75>
factorization results 素因数分解の結果
Number: 58887_179
N=132640525749294118102139295123428335192313886562409838069300157486717226157984219970666790975658435729365925900696341064979
  ( 123 digits)
Divisors found:
 r1=1267882575806183686123062369811279771630970712791 (pp49)
 r2=104615780893553633888163173944050869226186736163185458497293997297646226469 (pp75)
Version: Msieve v. 1.41
Total time: 103.57 hours.
Scaled time: 81.20 units (timescale=0.784).
Factorization parameters were as follows:
# Murphy_E = 2.204181e-10, selected by Jeff Gilchrist
n: 132640525749294118102139295123428335192313886562409838069300157486717226157984219970666790975658435729365925900696341064979
Y0: -360317732448563326023454
Y1: 19879181277307
c0: 171606085697399885470075292375
c1: -919211884570549739620675
c2: 6162561620072014696
c3: -1776083482988118
c4: -4172818468
c5: 21840
skew: 146902.99
type: gnfs
# selected mechanically
rlim: 6000000
alim: 6000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [3000000, 5500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 812357 x 812605
Total sieving time: 97.10 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 4.27 hours.
Time per square root: 1.93 hours.
Prototype def-par.txt line would be:
gnfs,122,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,6000000,6000000,27,27,52,52,2.5,2.5,100000
total time: 103.57 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
351e6118Makoto KamadaApril 22, 2009 13:00:00 UTC 2009 年 4 月 22 日 (水) 22 時 0 分 0 秒 (日本時間)
403e6500 / 2318Erik BrangerMay 7, 2009 07:38:01 UTC 2009 年 5 月 7 日 (木) 16 時 38 分 1 秒 (日本時間)

53×10181-179

c155

name 名前Serge Batalov
date 日付March 20, 2011 19:20:59 UTC 2011 年 3 月 21 日 (月) 4 時 20 分 59 秒 (日本時間)
composite number 合成数
68004239319809262400755090107058344927457150257816080623665074773991792976221163997527382058345364709499960210064787032395035945646560173745955272347704679<155>
prime factors 素因数
163791378840537560105623945657<30>
composite cofactor 合成数の残り
415188148492334126905245732407282143435541975566733911316875121942292143901688093546326219505733995710230903763865611920828447<126>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=4063546210
Step 1 took 8104ms
Step 2 took 3381ms
********** Factor found in step 2: 163791378840537560105623945657
Found probable prime factor of 30 digits: 163791378840537560105623945657
Composite cofactor 415188148492334126905245732407282143435541975566733911316875121942292143901688093546326219505733995710230903763865611920828447 has 126 digits

c126

name 名前Wataru Sakai
date 日付April 16, 2011 05:31:55 UTC 2011 年 4 月 16 日 (土) 14 時 31 分 55 秒 (日本時間)
composite number 合成数
415188148492334126905245732407282143435541975566733911316875121942292143901688093546326219505733995710230903763865611920828447<126>
prime factors 素因数
1205814952114265935016503440219167569<37>
344321612337238538343436584256305526645134320108378502567554345828498578097949097119076463<90>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3445121938
Step 1 took 7659ms
Step 2 took 3768ms
********** Factor found in step 2: 1205814952114265935016503440219167569
Found probable prime factor of 37 digits: 1205814952114265935016503440219167569
Probable prime cofactor 344321612337238538343436584256305526645134320108378502567554345828498578097949097119076463 has 90 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 22, 2009 13:00:00 UTC 2009 年 4 月 22 日 (水) 22 時 0 分 0 秒 (日本時間)
403e6400 / 2318Dmitry DomanovMarch 21, 2011 14:53:10 UTC 2011 年 3 月 21 日 (月) 23 時 53 分 10 秒 (日本時間)

53×10182-179

c143

name 名前Dmitry Domanov
date 日付February 5, 2014 20:39:45 UTC 2014 年 2 月 6 日 (木) 5 時 39 分 45 秒 (日本時間)
composite number 合成数
49553680000507839272627002021268357188378182624352354120166096133664518584854509450660762624689694718276183500266134879297234228851689060366503<143>
prime factors 素因数
53416645375936275933005916012702314479050543979769396182514403793<65>
927682366643550621869516368963481903088581924054530156309451812155962030260471<78>
factorization results 素因数分解の結果
N=49553680000507839272627002021268357188378182624352354120166096133664518584854509450660762624689694718276183500266134879297234228851689060366503
  ( 143 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=53416645375936275933005916012702314479050543979769396182514403793 (pp65)
 r2=927682366643550621869516368963481903088581924054530156309451812155962030260471 (pp78)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 204.74 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 49553680000507839272627002021268357188378182624352354120166096133664518584854509450660762624689694718276183500266134879297234228851689060366503
m: 1000000000000000000000000000000000000
deg: 5
c5: 5300
c0: -17
skew: 0.32
# Murphy_E = 5.813e-11
type: snfs
lss: 1
rlim: 8100000
alim: 8100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 8100000/8100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [4050000, 14250001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1624943 x 1625173
Total sieving time: 201.79 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 2.51 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
snfs,183.000,5,0,0,0,0,0,0,0,0,8100000,8100000,28,28,53,53,2.5,2.5,100000
total time: 204.74 hours.
 --------- CPU info (if available) ----------
[    0.074309] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49296732k/51380224k available (5105k kernel code, 1057796k absent, 1025696k reserved, 7223k data, 1316k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.00 BogoMIPS (lpj=2400000)
[    0.707507] Total of 16 processors activated (76799.07 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 22, 2009 13:00:00 UTC 2009 年 4 月 22 日 (水) 22 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovMay 31, 2011 06:40:38 UTC 2011 年 5 月 31 日 (火) 15 時 40 分 38 秒 (日本時間)
4511e61540 / 4409230Ignacio SantosOctober 13, 2013 18:39:11 UTC 2013 年 10 月 14 日 (月) 3 時 39 分 11 秒 (日本時間)
230Ignacio SantosOctober 17, 2013 15:39:47 UTC 2013 年 10 月 18 日 (金) 0 時 39 分 47 秒 (日本時間)
230Ignacio SantosOctober 18, 2013 15:28:08 UTC 2013 年 10 月 19 日 (土) 0 時 28 分 8 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:06:23 UTC 2013 年 11 月 9 日 (土) 2 時 6 分 23 秒 (日本時間)

53×10183-179

c175

name 名前Dmitry Domanov
date 日付May 30, 2011 11:50:53 UTC 2011 年 5 月 30 日 (月) 20 時 50 分 53 秒 (日本時間)
composite number 合成数
5283312555326070289198410239728499906285947643050635058291130838228629695294858071590121818546768932374454889404835461680956289118363269628467381944707170867965134371360963031<175>
prime factors 素因数
923784051700444816320238706709503633<36>
5719207368432994449391079239606073584720170424302049961619530145402972759608485204216561128563887230571008596405373365670647180148939167207<139>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2293147859
Step 1 took 69801ms
Step 2 took 26072ms
********** Factor found in step 2: 923784051700444816320238706709503633
Found probable prime factor of 36 digits: 923784051700444816320238706709503633
Probable prime cofactor 5719207368432994449391079239606073584720170424302049961619530145402972759608485204216561128563887230571008596405373365670647180148939167207 has 139 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 22, 2009 13:00:00 UTC 2009 年 4 月 22 日 (水) 22 時 0 分 0 秒 (日本時間)

53×10185-179

c164

name 名前Dmitry Domanov
date 日付February 13, 2014 05:37:52 UTC 2014 年 2 月 13 日 (木) 14 時 37 分 52 秒 (日本時間)
composite number 合成数
78104614946743819982135739825376667292712279424249001354298386590464329920461654148267774380504576199840818252584427385766767113632352134920898387704255084069128537<164>
prime factors 素因数
633431156032647178697464717983305413<36>
composite cofactor 合成数の残り
123304031074086117806213984035126981440457516309872567604526192207416084319376640656838742070094676750542011494737768016200694149<129>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3419563904
Step 1 took 19500ms
Step 2 took 7954ms
********** Factor found in step 2: 633431156032647178697464717983305413
Found probable prime factor of 36 digits: 633431156032647178697464717983305413

c129

name 名前KTakahashi
date 日付February 23, 2014 09:27:59 UTC 2014 年 2 月 23 日 (日) 18 時 27 分 59 秒 (日本時間)
composite number 合成数
123304031074086117806213984035126981440457516309872567604526192207416084319376640656838742070094676750542011494737768016200694149<129>
prime factors 素因数
14938950383794395395219047797423652483<38>
8253861744386335046554978717199841636423702160309990882360307859702417489762127342937794903<91>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 5.1.2] [ECM]
Input number is 123304031074086117806213984035126981440457516309872567604526192207416084319376640656838742070094676750542011494737768016200694149 (129 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=630201414
Step 1 took 36613ms
Step 2 took 15990ms
********** Factor found in step 2: 14938950383794395395219047797423652483
Found probable prime factor of 38 digits: 14938950383794395395219047797423652483
Probable prime cofactor 8253861744386335046554978717199841636423702160309990882360307859702417489762127342937794903 has 91 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 22, 2009 13:00:00 UTC 2009 年 4 月 22 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62100 / 2318300Dmitry DomanovMay 31, 2011 06:40:51 UTC 2011 年 5 月 31 日 (火) 15 時 40 分 51 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:50:34 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 34 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:07:53 UTC 2014 年 2 月 13 日 (木) 7 時 7 分 53 秒 (日本時間)

53×10186-179

c176

name 名前Robert Backstrom
date 日付February 11, 2012 00:33:42 UTC 2012 年 2 月 11 日 (土) 9 時 33 分 42 秒 (日本時間)
composite number 合成数
60872313914256492212750722399298823798449539931392493432186941894038658324329538853656628792170255338658549288458181225563308997694367588801212788321473791898768224004941857161<176>
prime factors 素因数
10084513156525457970727463196872899527953549967140989<53>
6036217412723331039917515149835578292552836609990455555790073034039585668074025591780219023725303827139468556384153161668349<124>
factorization results 素因数分解の結果
Number: n
N=60872313914256492212750722399298823798449539931392493432186941894038658324329538853656628792170255338658549288458181225563308997694367588801212788321473791898768224004941857161
  ( 176 digits)
SNFS difficulty: 187 digits.
Divisors found:

Sat Feb 11 11:29:52 2012  prp53 factor: 10084513156525457970727463196872899527953549967140989
Sat Feb 11 11:29:52 2012  prp124 factor: 6036217412723331039917515149835578292552836609990455555790073034039585668074025591780219023725303827139468556384153161668349
Sat Feb 11 11:29:52 2012  elapsed time 03:14:38 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.654).
Factorization parameters were as follows:
name: KA_58887_186
n: 60872313914256492212750722399298823798449539931392493432186941894038658324329538853656628792170255338658549288458181225563308997694367588801212788321473791898768224004941857161
m: 10000000000000000000000000000000000000
#  c176, diff: 187.72
skew: 0.5
deg: 5
c5: 530
c0: -17
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 17200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9267747 hash collisions in 76418698 relations (71355042 unique)
Msieve: matrix is 1307045 x 1307273 (366.0 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,187,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.06 BogoMIPS (lpj=2797533)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44760.82 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 22, 2009 13:00:00 UTC 2009 年 4 月 22 日 (水) 22 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovMay 31, 2011 06:40:59 UTC 2011 年 5 月 31 日 (火) 15 時 40 分 59 秒 (日本時間)

53×10188-179

c169

composite cofactor 合成数の残り
4613285761697920021176813737237395878310805179086625203220552142977732178880098084411546358317594839165736765342580293719164609655526671057039072542956237486384198103107<169>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 22, 2009 13:00:00 UTC 2009 年 4 月 22 日 (水) 22 時 0 分 0 秒 (日本時間)
403e63400300Dmitry DomanovMay 31, 2011 06:41:06 UTC 2011 年 5 月 31 日 (火) 15 時 41 分 6 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:50:35 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 35 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:08:04 UTC 2014 年 2 月 13 日 (木) 7 時 8 分 4 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:44 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 44 秒 (日本時間)

53×10189-179

c174

composite cofactor 合成数の残り
551254809088510085742879187689728211329448880120790906932831634436204117739081296457848639750144422194409705400233692357180919444738654682242877835225917204499736547833758393<174>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 22, 2009 13:00:00 UTC 2009 年 4 月 22 日 (水) 22 時 0 分 0 秒 (日本時間)
403e63400300Dmitry DomanovMay 31, 2011 06:41:15 UTC 2011 年 5 月 31 日 (火) 15 時 41 分 15 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:50:38 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 38 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:08:15 UTC 2014 年 2 月 13 日 (木) 7 時 8 分 15 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:44 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 44 秒 (日本時間)

53×10190-179

c157

name 名前Serge Batalov
date 日付January 9, 2014 05:38:43 UTC 2014 年 1 月 9 日 (木) 14 時 38 分 43 秒 (日本時間)
composite number 合成数
1786198577645956581534642932875238249499411582229915062789524715970362659312803634029676192317067553284006382625993349402746977314002119663389584044457220467<157>
prime factors 素因数
72528231975487975261250031369100365497069<41>
24627631599369879808392652989301127102147509536806649007040126753409110079872190212589952309244341154816406857048543<116>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3786591989
Step 1 took 12266ms
Step 2 took 5585ms
********** Factor found in step 2: 72528231975487975261250031369100365497069
Found probable prime factor of 41 digits: 72528231975487975261250031369100365497069
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 22, 2009 13:00:00 UTC 2009 年 4 月 22 日 (水) 22 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Dmitry DomanovMay 31, 2011 06:41:23 UTC 2011 年 5 月 31 日 (火) 15 時 41 分 23 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:50:39 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 39 秒 (日本時間)

53×10191-179

c191

name 名前matsui
date 日付June 25, 2009 08:58:06 UTC 2009 年 6 月 25 日 (木) 17 時 58 分 6 秒 (日本時間)
composite number 合成数
45299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299<191>
prime factors 素因数
3077325253235247465155976615079042868201<40>
composite cofactor 合成数の残り
14720298171771570716723886854991671208898715252902464943556125290604128965082355315462245187807878703850020843469774087345493414370248002017144961313499<152>
factorization results 素因数分解の結果
45299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299
=
3077325253235247465155976615079042868201* 14720298171771570716723886854991671208898715252902464943556125290604128965082355315462245187807878703850020843469774087345493414370248002017144961313499

c152

name 名前Wataru Sakai
date 日付June 28, 2009 12:11:01 UTC 2009 年 6 月 28 日 (日) 21 時 11 分 1 秒 (日本時間)
composite number 合成数
14720298171771570716723886854991671208898715252902464943556125290604128965082355315462245187807878703850020843469774087345493414370248002017144961313499<152>
prime factors 素因数
30955878554994429517866299495278628197<38>
260830264234883533140803293326399923032711<42>
1823120991418613541878724349970952485904020949548098505262099347038089097<73>
factorization results 素因数分解の結果
Number: 58887_191
N=45299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299
  ( 191 digits)
SNFS difficulty: 193 digits.
Divisors found:
 r1=30955878554994429517866299495278628197
 r2=3077325253235247465155976615079042868201
 r3=260830264234883533140803293326399923032711
 r4=1823120991418613541878724349970952485904020949548098505262099347038089097
Version:
Total time: 627.02 hours.
Scaled time: 1254.04 units (timescale=2.000).
Factorization parameters were as follows:
n: 45299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299
m: 200000000000000000000000000000000000000
deg: 5
c5: 265
c0: -272
skew: 1.01
type: snfs
lss: 1
rlim: 11900000
alim: 11900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5Factor base limits: 11900000/11900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [5950000, 13050001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 2074170 x 2074418
Total sieving time: 627.02 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,193,5,0,0,0,0,0,0,0,0,11900000,11900000,28,28,55,55,2.5,2.5,100000
total time: 627.02 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 22, 2009 13:00:00 UTC 2009 年 4 月 22 日 (水) 22 時 0 分 0 秒 (日本時間)
403e6800 / 2318Serge BatalovApril 23, 2009 16:37:40 UTC 2009 年 4 月 24 日 (金) 1 時 37 分 40 秒 (日本時間)

53×10192-179

c185

name 名前Dmitry Domanov
date 日付June 20, 2010 08:03:02 UTC 2010 年 6 月 20 日 (日) 17 時 3 分 2 秒 (日本時間)
composite number 合成数
41695695229353123079517420600321355960875947350681997959817045048059807531113133069113691670276235467778690543749022162192693787153308171114126590992771773522927184007515710428566898351<185>
prime factors 素因数
10987995036064059230908241003012838588367<41>
composite cofactor 合成数の残り
3794659088623749186843117945048518474540580727120184575245453364288522026780174067087223573036736653611423782982297579114881934464841010002174753<145>
factorization results 素因数分解の結果
Factor=10987995036064059230908241003012838588367  Method=ECM  B1=11000000  Sigma=3559105180

c145

name 名前Dmitry Domanov
date 日付February 13, 2014 05:35:30 UTC 2014 年 2 月 13 日 (木) 14 時 35 分 30 秒 (日本時間)
composite number 合成数
3794659088623749186843117945048518474540580727120184575245453364288522026780174067087223573036736653611423782982297579114881934464841010002174753<145>
prime factors 素因数
291346539973197679913534623343330679949<39>
13024555187691048206604569768725048600303510007644509912131198337418439564924561039594897707487306127015397<107>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1433948269
Step 1 took 16521ms
Step 2 took 7077ms
********** Factor found in step 2: 291346539973197679913534623343330679949
Found probable prime factor of 39 digits: 291346539973197679913534623343330679949

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 22, 2009 13:00:00 UTC 2009 年 4 月 22 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62100300Dmitry DomanovMay 31, 2011 06:41:34 UTC 2011 年 5 月 31 日 (火) 15 時 41 分 34 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:50:39 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 39 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:08:30 UTC 2014 年 2 月 13 日 (木) 7 時 8 分 30 秒 (日本時間)
4511e669 / 4011Dmitry DomanovJune 20, 2010 08:02:50 UTC 2010 年 6 月 20 日 (日) 17 時 2 分 50 秒 (日本時間)

53×10193-179

c161

name 名前Serge Batalov
date 日付April 23, 2009 03:18:29 UTC 2009 年 4 月 23 日 (木) 12 時 18 分 29 秒 (日本時間)
composite number 合成数
25610963494424293598374759846038005511590140400031474990102206271687293604091543399158165232002848647754457000925225117148195502404229644873759249878702583958029<161>
prime factors 素因数
20572446508725500234225553940201<32>
composite cofactor 合成数の残り
1244915789843555096011732458304270596627375015872090006518666492540398283834017403659916118975910672983647063299114503997601252229<130>
factorization results 素因数分解の結果
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=376038659
Step 1 took 11933ms
Step 2 took 12688ms
********** Factor found in step 2: 20572446508725500234225553940201
Found probable prime factor of 32 digits: 20572446508725500234225553940201
Composite cofactor has 130 digits
software ソフトウェア
GMP-ECM 6.2.2

c130

name 名前shyguy7129
date 日付May 8, 2010 12:55:23 UTC 2010 年 5 月 8 日 (土) 21 時 55 分 23 秒 (日本時間)
composite number 合成数
1244915789843555096011732458304270596627375015872090006518666492540398283834017403659916118975910672983647063299114503997601252229<130>
prime factors 素因数
267578229142949443075886986811085994355272651383439597<54>
4652530192127396493656334227280476769788587829585535767790375802292956721657<76>
factorization results 素因数分解の結果
Number: 58887_193
N = 1244915789843555096011732458304270596627375015872090006518666492540398283834017403659916118975910672983647063299114503997601252229 (130 digits)
Divisors found:
r1=267578229142949443075886986811085994355272651383439597 (pp54)
r2=4652530192127396493656334227280476769788587829585535767790375802292956721657 (pp76)
Version: Msieve v. 1.44
Total time: 119.08 hours.
Factorization parameters were as follows:
# Murphy_E = 8.039102e-11, selected by Jeff Gilchrist
n: 1244915789843555096011732458304270596627375015872090006518666492540398283834017403659916118975910672983647063299114503997601252229
Y0: -7625018864902528057062799
Y1: 206020157428153
c0: -236039994252092803694771056273920
c1: 2295680456613708995608082784
c2: 6382569547002010190908
c3: -41949142744907584
c4: -48437028643
c5: 48300
skew: 427417.58
type: gnfs
# selected mechanically
rlim: 9300000
alim: 9300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 9300000/9300000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [4650000, 9750000)
Total raw relations: 17540273
Relations: 2425214 relations
Pruned matrix : 1408865 x 1409090
Polynomial selection time: 0.00 hours.
Total sieving time: 108.11 hours.
Total relation processing time: 0.29 hours.
Matrix solve time: 8.89 hours.
time per square root: 1.79 hours.
Prototype def-par.txt line would be: gnfs,129,5,65,2000,1e-05,0.28,250,20,50000,3600,9300000,9300000,28,28,53,53,2.5,2.5,100000
total time: 119.08 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
351e6118Makoto KamadaApril 22, 2009 13:00:00 UTC 2009 年 4 月 22 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62318500Erik BrangerMay 12, 2009 05:35:25 UTC 2009 年 5 月 12 日 (火) 14 時 35 分 25 秒 (日本時間)
1818Wataru SakaiNovember 29, 2009 12:18:15 UTC 2009 年 11 月 29 日 (日) 21 時 18 分 15 秒 (日本時間)

53×10196-179

c158

composite cofactor 合成数の残り
51621932212958790417437446075367928305605402381072790095273839006372238047114401962048445841688006887008716316659592778077884680706883109380079707744740362539<158>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 22, 2009 13:00:00 UTC 2009 年 4 月 22 日 (水) 22 時 0 分 0 秒 (日本時間)
403e63400300Dmitry DomanovMay 31, 2011 06:41:43 UTC 2011 年 5 月 31 日 (火) 15 時 41 分 43 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:50:40 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 40 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:08:46 UTC 2014 年 2 月 13 日 (木) 7 時 8 分 46 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:45 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 45 秒 (日本時間)

53×10197-179

c174

name 名前Serge Batalov
date 日付April 23, 2009 03:41:44 UTC 2009 年 4 月 23 日 (木) 12 時 41 分 44 秒 (日本時間)
composite number 合成数
209031552072624552439865279354199917084322005754872644015361827201840639709277235396949812402039782543646434764375771068492192395609305944028758537512387379654633050669824981<174>
prime factors 素因数
124131209152910945615138358610613<33>
1683956464285538192987701175282364657277752256350514234040551728309986650671586386857006585378655255901615254486990382871923560979892400767137<142>
factorization results 素因数分解の結果
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=3750431010
Step 1 took 12365ms
Step 2 took 12241ms
********** Factor found in step 2: 124131209152910945615138358610613
Found probable prime factor of 33 digits: 124131209152910945615138358610613
Probable prime cofactor has 142 digits
software ソフトウェア
GMP-ECM 6.2.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 22, 2009 13:00:00 UTC 2009 年 4 月 22 日 (水) 22 時 0 分 0 秒 (日本時間)

53×10198-179

c199

name 名前Jo Yeong Uk
date 日付May 16, 2009 01:57:58 UTC 2009 年 5 月 16 日 (土) 10 時 57 分 58 秒 (日本時間)
composite number 合成数
5888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<199>
prime factors 素因数
3105261215890219980188797697842256974579853865273347<52>
1896423031580824744009636372699045793880183375458593621015135886801884722666025272281158636589101925037831403331081551847068185738937524060810693821<148>
factorization results 素因数分解の結果
Number: 58887_198
N=5888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887
  ( 199 digits)
SNFS difficulty: 199 digits.
Divisors found:
 r1=3105261215890219980188797697842256974579853865273347
 r2=1896423031580824744009636372699045793880183375458593621015135886801884722666025272281158636589101925037831403331081551847068185738937524060810693821
Version: 
Total time: 495.00 hours.
Scaled time: 1183.05 units (timescale=2.390).
Factorization parameters were as follows:
n: 5888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887
m: 1000000000000000000000000000000000
deg: 6
c6: 53
c0: -17
skew: 0.83
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 55/55
Sieved rational special-q in [10000000, 20700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 35575862
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3176756 x 3177003
Total sieving time: 445.27 hours.
Total relation processing time: 22.31 hours.
Matrix solve time: 26.88 hours.
Time per square root: 0.54 hours.
Prototype def-par.txt line would be:
snfs,199,6,0,0,0,0,0,0,0,0,20000000,20000000,29,29,55,55,2.6,2.6,100000
total time: 495.00 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: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.58 BogoMIPS (lpj=2673793)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
Calibrating delay using timer specific routine.. 5344.61 BogoMIPS (lpj=2672305)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
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
351e6904118Makoto KamadaApril 22, 2009 13:00:00 UTC 2009 年 4 月 22 日 (水) 22 時 0 分 0 秒 (日本時間)
786Jo Yeong UkApril 23, 2009 12:26:25 UTC 2009 年 4 月 23 日 (木) 21 時 26 分 25 秒 (日本時間)
403e62104Jo Yeong UkApril 26, 2009 22:50:55 UTC 2009 年 4 月 27 日 (月) 7 時 50 分 55 秒 (日本時間)

53×10199-179

c194

name 名前Wataru Sakai
date 日付December 16, 2009 05:37:08 UTC 2009 年 12 月 16 日 (水) 14 時 37 分 8 秒 (日本時間)
composite number 合成数
17070178305098131140775216059340320060689959214834925417331236084785192258036422542825937098840744866570629199364512690373150554882249749012015118767053873064028402973058201996830808670065951117<194>
prime factors 素因数
17033129343042131723119795399783<32>
179440627551006617308087186383630077<36>
6418601372244116209995402203201277923<37>
870126567592585573632839389930035462775978166234114786224389433355392972174658899238979469<90>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3769953513
Step 1 took 25038ms
Step 2 took 9558ms
********** Factor found in step 2: 17033129343042131723119795399783
Found probable prime factor of 32 digits: 17033129343042131723119795399783
Composite cofactor 1002175111884014052862920762883581298496554004464709613050251304739359685726211840475054410063345510265115970720689986952986565831641247191170176592569731656952299 has 163 digits
---------------------------
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4056795063
Step 1 took 17322ms
Step 2 took 7340ms
********** Factor found in step 2: 6418601372244116209995402203201277923
Found probable prime factor of 37 digits: 6418601372244116209995402203201277923
Composite cofactor 156136057337616932522918625137023487892475982796937651766950011790633232673692347250804848273683749803164350079769169093889113 has 126 digits
---------------------------
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4016537737
Step 1 took 11682ms
Step 2 took 5633ms
********** Factor found in step 2: 179440627551006617308087186383630077
Found probable prime factor of 36 digits: 179440627551006617308087186383630077
Probable prime cofactor 870126567592585573632839389930035462775978166234114786224389433355392972174658899238979469 has 90 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
3025e40--
351e6118 / 904Makoto KamadaApril 22, 2009 13:00:00 UTC 2009 年 4 月 22 日 (水) 22 時 0 分 0 秒 (日本時間)

53×10201-179

c164

name 名前Serge Batalov
date 日付April 23, 2009 03:30:45 UTC 2009 年 4 月 23 日 (木) 12 時 30 分 45 秒 (日本時間)
composite number 合成数
56115134474039179147086116589633144968170758083342541054839240643764685236021629346893308164070439160632937103128874679454125923120618909166912477720409881181981563<164>
prime factors 素因数
7137096825470911352763152350693<31>
7862459463037571684520567683265681573742169480804138362430647497393328622184882892466314752452755748772299349279963553756975752154591<133>
factorization results 素因数分解の結果
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=1668989920
Step 1 took 11501ms
Step 2 took 12549ms
********** Factor found in step 2: 7137096825470911352763152350693
Found probable prime factor of 31 digits: 7137096825470911352763152350693
Probable prime cofactor has 133 digits
software ソフトウェア
GMP-ECM 6.2.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 22, 2009 13:00:00 UTC 2009 年 4 月 22 日 (水) 22 時 0 分 0 秒 (日本時間)

53×10203-179

c203

name 名前Robert Backstrom
date 日付June 2, 2009 04:12:53 UTC 2009 年 6 月 2 日 (火) 13 時 12 分 53 秒 (日本時間)
composite number 合成数
45299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299<203>
prime factors 素因数
987350730914620921690289987203621855954963<42>
92566848900864095239779213632802017565483126475597474270379<59>
495636265293798401196317143432651643488247579932991797044874163185512392872923768166698869239772113987<102>
factorization results 素因数分解の結果
Number: n
N=45299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299
  ( 203 digits)
SNFS difficulty: 206 digits.
Divisors found:

Tue Jun  2 14:05:48 2009  prp42 factor: 987350730914620921690289987203621855954963
Tue Jun  2 14:05:48 2009  prp59 factor: 92566848900864095239779213632802017565483126475597474270379
Tue Jun  2 14:05:48 2009  prp102 factor: 495636265293798401196317143432651643488247579932991797044874163185512392872923768166698869239772113987
Tue Jun  2 14:05:48 2009  elapsed time 19:30:16 (Msieve 1.39 - dependency 2)

Version: GGNFS-0.77.1-20050930-k8
Total time: 99.56 hours.
Scaled time: 200.62 units (timescale=2.015).
Factorization parameters were as follows:
name: KA_5_8_202_7
n: 45299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299
m: 50000000000000000000000000000000000000000
deg: 5
c5: 424
c0: -425
skew: 1.00
type: snfs
lss: 1
rlim: 19000000
alim: 19000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 19000000/19000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [9500000, 29099990)
Primes: RFBsize:1211050, AFBsize:1212352, largePrimes:35419729 encountered
Relations: rels:33177779, finalFF:834914
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7395621 hash collisions in 44885691 relations
Msieve: matrix is 3359630 x 3359878 (905.5 MB)

Total sieving time: 98.57 hours.
Total relation processing time: 0.99 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19000000,19000000,29,29,56,56,2.6,2.6,100000
total time: 99.56 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: 3368968k/3407296k available (2748k kernel code, 36964k reserved, 1425k data, 416k init, 2489792k highmem)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5660.99 BogoMIPS (lpj=2830496)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830447)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830456)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830457)
Total of 4 processors activated (22643.71 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 22, 2009 13:00:00 UTC 2009 年 4 月 22 日 (水) 22 時 0 分 0 秒 (日本時間)
403e6800 / 2318Serge BatalovApril 23, 2009 16:37:03 UTC 2009 年 4 月 24 日 (金) 1 時 37 分 3 秒 (日本時間)

53×10204-179

c152

composite cofactor 合成数の残り
34390377252409109365704361884036807598987027944556374397096005970806894144113954110842875832654206325371532671023822801282127999447922111098088791386493<152>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 22, 2009 13:00:00 UTC 2009 年 4 月 22 日 (水) 22 時 0 分 0 秒 (日本時間)
403e63400300Dmitry DomanovMay 31, 2011 06:41:54 UTC 2011 年 5 月 31 日 (火) 15 時 41 分 54 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:50:41 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 41 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:08:58 UTC 2014 年 2 月 13 日 (木) 7 時 8 分 58 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:45 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 45 秒 (日本時間)

53×10205-179

c189

name 名前Dmitry Domanov
date 日付February 13, 2014 05:33:59 UTC 2014 年 2 月 13 日 (木) 14 時 33 分 59 秒 (日本時間)
composite number 合成数
714323804945199941604384992052135367127248063947601624989339318496466622691353174410877140842722434073167755916828676431460593753154637658516959630429470954604929424116975056124034401346319<189>
prime factors 素因数
250210815975682023993532357505460126367<39>
composite cofactor 合成数の残り
2854887795956130987269565021840151417107809411636568987782857786149789602364094824756765710649463191094107684764255398014131283107288749688187695610257<151>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1917185097
Step 1 took 27157ms
Step 2 took 9211ms
********** Factor found in step 2: 250210815975682023993532357505460126367
Found probable prime factor of 39 digits: 250210815975682023993532357505460126367

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 22, 2009 13:00:00 UTC 2009 年 4 月 22 日 (水) 22 時 0 分 0 秒 (日本時間)
403e63400300Dmitry DomanovMay 31, 2011 06:42:02 UTC 2011 年 5 月 31 日 (火) 15 時 42 分 2 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:50:41 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 41 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:09:06 UTC 2014 年 2 月 13 日 (木) 7 時 9 分 6 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:46 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 46 秒 (日本時間)

53×10206-179

c188

composite cofactor 合成数の残り
12481673217502278403779171641757664851013051267911173907674470653474638031360630698762175457480860691379020634045900028362911633176305769359080554913032388213017124387675284594583009620427<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e63390290CypJanuary 4, 2014 06:35:41 UTC 2014 年 1 月 4 日 (土) 15 時 35 分 41 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:50:42 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 42 秒 (日本時間)
100Dmitry DomanovFebruary 12, 2014 22:09:15 UTC 2014 年 2 月 13 日 (木) 7 時 9 分 15 秒 (日本時間)
1400Dmitry DomanovFebruary 12, 2014 22:09:21 UTC 2014 年 2 月 13 日 (木) 7 時 9 分 21 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:46 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 46 秒 (日本時間)

53×10207-179

c200

name 名前Bob Backstrom
date 日付August 3, 2017 03:26:40 UTC 2017 年 8 月 3 日 (木) 12 時 26 分 40 秒 (日本時間)
composite number 合成数
21936731064519307214639321352605874071903110313114092270644919500414989351614802363250328869574035921200929272543259224346468886059638320398192926431450167163499064579087704094239325806341740989894683<200>
prime factors 素因数
92670403350598920406825921333881487969328814205573761133029574078616266788439<77>
236717768255807770934587486023589107765822938089999285404498056290232371132428815116163662398935543430634472940963439339997<123>
factorization results 素因数分解の結果
Number: n
N=21936731064519307214639321352605874071903110313114092270644919500414989351614802363250328869574035921200929272543259224346468886059638320398192926431450167163499064579087704094239325806341740989894683
  ( 200 digits)
SNFS difficulty: 208 digits.
Divisors found:

Thu Aug  3 08:53:31 2017  prp77 factor: 92670403350598920406825921333881487969328814205573761133029574078616266788439
Thu Aug  3 08:53:31 2017  prp123 factor: 236717768255807770934587486023589107765822938089999285404498056290232371132428815116163662398935543430634472940963439339997
Thu Aug  3 08:53:31 2017  elapsed time 15:31:28 (Msieve 1.44 - dependency 7)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.265).
Factorization parameters were as follows:
#
# 53x10^207-17 58(206)7
#
n: 21936731064519307214639321352605874071903110313114092270644919500414989351614802363250328869574035921200929272543259224346468886059638320398192926431450167163499064579087704094239325806341740989894683
m: 100000000000000000000000000000000000000000
deg: 5
c5: 5300
c0: -17
skew: 0.32
# Murphy_E = 4.747e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 21700000)
Primes: RFBsize:1329943, AFBsize:1331177,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8276025 hash collisions in 52993342 relations (46350909 unique)
Msieve: matrix is 3476617 x 3476842 (989.5 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 14hrs 37min 11sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 42min 19sec.

Prototype def-par.txt line would be:
snfs,208,5,0,0,0,0,0,0,0,0,21000000,21000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e63390290CypJanuary 5, 2014 06:58:12 UTC 2014 年 1 月 5 日 (日) 15 時 58 分 12 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:50:43 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 43 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:09:33 UTC 2014 年 2 月 13 日 (木) 7 時 9 分 33 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:46 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 46 秒 (日本時間)

53×10208-179

c157

composite cofactor 合成数の残り
2046798838106099374926945241595164012367925227283951069317943068593952576731303283014030477012407010578937823506917534898027879833827867947951057528447050653<157>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e63390290CypJanuary 2, 2014 17:32:02 UTC 2014 年 1 月 3 日 (金) 2 時 32 分 2 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:50:44 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 44 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:09:43 UTC 2014 年 2 月 13 日 (木) 7 時 9 分 43 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:47 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 47 秒 (日本時間)

53×10210-179

c211

name 名前Jo Yeong Uk
date 日付December 4, 2013 12:38:36 UTC 2013 年 12 月 4 日 (水) 21 時 38 分 36 秒 (日本時間)
composite number 合成数
5888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<211>
prime factors 素因数
279064063439207515539278389513063864418750975552542883957<57>
1079729413925170166876254485533529271685554044680221880257<58>
19544047699820017085384480971003655599437513000157224559676789868600494095368018395546430204443963<98>
factorization results 素因数分解の結果
Number: 58887_210
N=5888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887
  ( 211 digits)
SNFS difficulty: 211 digits.
Divisors found:
 r1=279064063439207515539278389513063864418750975552542883957
 r2=1079729413925170166876254485533529271685554044680221880257
 r3=19544047699820017085384480971003655599437513000157224559676789868600494095368018395546430204443963
Version: 
Total time: 624.30 hours.
Scaled time: 3278.82 units (timescale=5.252).
Factorization parameters were as follows:
n: 5888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887
m: 1000000000000000000000000000000000000000000
deg: 5
c5: 53
c0: -17
skew: 0.80
# Murphy_E = 4.707e-12
type: snfs
lss: 1
rlim: 30000000
alim: 30000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 30000000/30000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved rational special-q in [15000000, 34800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 45546167
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 4914490 x 4914737
Total sieving time: 557.05 hours.
Total relation processing time: 12.54 hours.
Matrix solve time: 53.12 hours.
Time per square root: 1.59 hours.
Prototype def-par.txt line would be:
snfs,211,5,0,0,0,0,0,0,0,0,30000000,30000000,29,29,57,57,2.6,2.6,100000
total time: 624.30 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
351e6904118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
786Jo Yeong UkOctober 23, 2013 11:09:39 UTC 2013 年 10 月 23 日 (水) 20 時 9 分 39 秒 (日本時間)
403e62104Jo Yeong UkNovember 6, 2013 12:40:38 UTC 2013 年 11 月 6 日 (水) 21 時 40 分 38 秒 (日本時間)
4511e63974850Serge BatalovNovember 8, 2013 17:14:10 UTC 2013 年 11 月 9 日 (土) 2 時 14 分 10 秒 (日本時間)
3124Jo Yeong UkNovember 13, 2013 13:33:12 UTC 2013 年 11 月 13 日 (水) 22 時 33 分 12 秒 (日本時間)

53×10211-179

c187

composite cofactor 合成数の残り
1044488856343169746462951452476169497569268706800195184683470847486415168540751862470524416182997409255605194979021822851637262725183143128419559870832071315907141961722963909938523462411<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:24:52 UTC 2014 年 1 月 7 日 (火) 5 時 24 分 52 秒 (日本時間)
403e63100300Serge BatalovJanuary 9, 2014 04:50:44 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 44 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:11:09 UTC 2014 年 2 月 13 日 (木) 7 時 11 分 9 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:47 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 47 秒 (日本時間)

53×10212-179

c181

composite cofactor 合成数の残り
4029876002416888184183496242488348426522904034912172569520910282146268592069023121436254713603701435009572394098661293925599901719648153849683313482370622265504763017466562473828359<181>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e63390290CypJanuary 2, 2014 16:27:44 UTC 2014 年 1 月 3 日 (金) 1 時 27 分 44 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:50:45 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 45 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:11:20 UTC 2014 年 2 月 13 日 (木) 7 時 11 分 20 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:47 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 47 秒 (日本時間)
4511e61 / 3726CypJanuary 10, 2014 17:45:21 UTC 2014 年 1 月 11 日 (土) 2 時 45 分 21 秒 (日本時間)

53×10213-179

c137

name 名前Ignacio Santos
date 日付October 23, 2013 13:46:39 UTC 2013 年 10 月 23 日 (水) 22 時 46 分 39 秒 (日本時間)
composite number 合成数
15777376313686934876973226795819356046697899808733189554779908676592819327682976823305912193870743869341310911992649005512831375199714649<137>
prime factors 素因数
9084396356126102906923793250475069444171284131<46>
1736755607657672411033162470648276741874477954745430252589796309011470789611775668880359379<91>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1594796001
Step 1 took 29375ms
Step 2 took 18093ms
********** Factor found in step 2: 9084396356126102906923793250475069444171284131
Found probable prime factor of 46 digits: 9084396356126102906923793250475069444171284131
Probable prime cofactor 1736755607657672411033162470648276741874477954745430252589796309011470789611775668880359379 has 91 digits
software ソフトウェア
GMP-ECM 7.0

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 21, 2013 22:04:42 UTC 2013 年 10 月 22 日 (火) 7 時 4 分 42 秒 (日本時間)
403e6110 / 1332Ignacio SantosOctober 21, 2013 22:04:42 UTC 2013 年 10 月 22 日 (火) 7 時 4 分 42 秒 (日本時間)
4511e6262 / 443732Ignacio SantosOctober 21, 2013 22:04:42 UTC 2013 年 10 月 22 日 (火) 7 時 4 分 42 秒 (日本時間)
230Ignacio SantosOctober 22, 2013 16:38:59 UTC 2013 年 10 月 23 日 (水) 1 時 38 分 59 秒 (日本時間)

53×10215-179

c147

name 名前Ignacio Santos
date 日付October 26, 2013 14:57:05 UTC 2013 年 10 月 26 日 (土) 23 時 57 分 5 秒 (日本時間)
composite number 合成数
970912136299665156665128186554274022470484634018812727261263002800601530526896890961584863168724378186463389864513248323375008451187843056394764061<147>
prime factors 素因数
1118531313554761453165989045897812407<37>
868024099579337253475170141199147132774128888712460978337993871329941572288861304449142955318437993018706034123<111>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:128704547
Step 1 took 31953ms
Step 2 took 18735ms
********** Factor found in step 2: 1118531313554761453165989045897812407
Found probable prime factor of 37 digits: 1118531313554761453165989045897812407
Probable prime cofactor 868024099579337253475170141199147132774128888712460978337993871329941572288861304449142955318437993018706034123 has 111 digits
software ソフトウェア
GMP-ECM 7.0

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 22, 2013 16:40:47 UTC 2013 年 10 月 23 日 (水) 1 時 40 分 47 秒 (日本時間)
403e6110 / 2126Ignacio SantosOctober 22, 2013 16:40:47 UTC 2013 年 10 月 23 日 (水) 1 時 40 分 47 秒 (日本時間)
4511e632 / 4437Ignacio SantosOctober 22, 2013 16:40:47 UTC 2013 年 10 月 23 日 (水) 1 時 40 分 47 秒 (日本時間)

53×10216-179

c209

composite cofactor 合成数の残り
85664860507131416185111755314094760984912952064156799719339935052167726100967898650039304735134700808613408412344579880104010782380613769232737035917628982473093996736366005489271723210913511856542805735951609<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 1, 2014 08:37:58 UTC 2014 年 1 月 1 日 (水) 17 時 37 分 58 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:50:46 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 46 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:11:31 UTC 2014 年 2 月 13 日 (木) 7 時 11 分 31 秒 (日本時間)
4511e6300 / 3876Serge BatalovMay 27, 2014 00:33:47 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 47 秒 (日本時間)
5043e639 / 7406CypJanuary 22, 2014 19:19:32 UTC 2014 年 1 月 23 日 (木) 4 時 19 分 32 秒 (日本時間)

53×10218-179

c158

composite cofactor 合成数の残り
39362084662041284226429613337280247626552684666072437521391583522984685278686500859983120896232602758561447182227209126654829518855636908657630607341687819967<158>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e63390290CypJanuary 2, 2014 12:39:11 UTC 2014 年 1 月 2 日 (木) 21 時 39 分 11 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:50:46 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 46 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:11:40 UTC 2014 年 2 月 13 日 (木) 7 時 11 分 40 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:48 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 48 秒 (日本時間)

53×10220-179

c186

composite cofactor 合成数の残り
152104521690320279722034882969076226126537596348432229905736510803932271591104098365849099778830244395858270122810188709192165014480665750699595243081518330836810841569696042716937081719<186>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:24:52 UTC 2014 年 1 月 7 日 (火) 5 時 24 分 52 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 04:50:47 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 47 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:11:50 UTC 2014 年 2 月 13 日 (木) 7 時 11 分 50 秒 (日本時間)
4511e6300 / 3875Serge BatalovMay 27, 2014 00:33:48 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 48 秒 (日本時間)
5043e647 / 7413CypJanuary 28, 2014 21:37:18 UTC 2014 年 1 月 29 日 (水) 6 時 37 分 18 秒 (日本時間)

53×10221-179

c161

composite cofactor 合成数の残り
16997366553894331465499717828062090310404528824672788451880111813144414852077471713636828640649284558720459950661386811488226551664718411150415136617652782369171<161>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 6, 2014 19:52:33 UTC 2014 年 1 月 7 日 (火) 4 時 52 分 33 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:50:48 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 48 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:12:01 UTC 2014 年 2 月 13 日 (木) 7 時 12 分 1 秒 (日本時間)
4511e6300 / 3876Serge BatalovMay 27, 2014 00:33:48 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 48 秒 (日本時間)
5043e639 / 7406CypFebruary 2, 2014 23:23:19 UTC 2014 年 2 月 3 日 (月) 8 時 23 分 19 秒 (日本時間)

53×10222-179

c211

composite cofactor 合成数の残り
2601362411944755485171258832622545430365680018256325726152464044753639768508779240011511073127685047674787311453459478300912420699722092944249873979350603414644011038400620710397726207789261777867666297657361739<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:24:54 UTC 2014 年 1 月 7 日 (火) 5 時 24 分 54 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 04:50:48 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 48 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:12:10 UTC 2014 年 2 月 13 日 (木) 7 時 12 分 10 秒 (日本時間)
4511e6387 / 404087CypMarch 9, 2014 13:37:10 UTC 2014 年 3 月 9 日 (日) 22 時 37 分 10 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:48 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 48 秒 (日本時間)

53×10223-179

c216

name 名前Serge Batalov
date 日付January 6, 2014 22:09:59 UTC 2014 年 1 月 7 日 (火) 7 時 9 分 59 秒 (日本時間)
composite number 合成数
215640824388670947014156198831420320311977296686272148596728259736261238371279158923284385636978263682793476793941457603589271703146663581098728742372162039655191282014487905278015093556538609994650069139066267605663<216>
prime factors 素因数
1319772626006000950968322839050776351<37>
composite cofactor 合成数の残り
163392405736782145683580391075563340549913005277786976791046785813379509648178641415050482944282862232119456288606807618408618004224377730548989466835002073344410146004003649578113<180>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=847014576
Step 1 took 6890ms
Step 2 took 4553ms
********** Factor found in step 2: 1319772626006000950968322839050776351
Found probable prime factor of 37 digits: 1319772626006000950968322839050776351
Composite cofactor 

c180

name 名前Serge Batalov
date 日付May 26, 2014 19:37:46 UTC 2014 年 5 月 27 日 (火) 4 時 37 分 46 秒 (日本時間)
composite number 合成数
163392405736782145683580391075563340549913005277786976791046785813379509648178641415050482944282862232119456288606807618408618004224377730548989466835002073344410146004003649578113<180>
prime factors 素因数
1338099794835460761315606945576261619<37>
composite cofactor 合成数の残り
122107787750519510480521617045509655290213194871317424232653284469238042971640272920513146359466876914784506000351148100311029421787939913597627<144>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3976437988
Step 1 took 14034ms
Step 2 took 5182ms
********** Factor found in step 2: 1338099794835460761315606945576261619
Found probable prime factor of 37 digits: 1338099794835460761315606945576261619
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:24:55 UTC 2014 年 1 月 7 日 (火) 5 時 24 分 55 秒 (日本時間)
403e63100300Serge BatalovJanuary 9, 2014 04:50:49 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 49 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:12:20 UTC 2014 年 2 月 13 日 (木) 7 時 12 分 20 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:48 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 48 秒 (日本時間)
4511e6800 / 2350Dmitry DomanovFebruary 29, 2016 23:18:13 UTC 2016 年 3 月 1 日 (火) 8 時 18 分 13 秒 (日本時間)
5043e6400 / 7251Ignacio SantosFebruary 6, 2017 23:55:42 UTC 2017 年 2 月 7 日 (火) 8 時 55 分 42 秒 (日本時間)

53×10224-179

c169

composite cofactor 合成数の残り
4559847161052698634123586428252496250092904319146507548031737996757685793916476675157956486379450053550526613895344157466659992889077376231338717339133549982173062925089<169>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:24:55 UTC 2014 年 1 月 7 日 (火) 5 時 24 分 55 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 04:50:50 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 50 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:12:29 UTC 2014 年 2 月 13 日 (木) 7 時 12 分 29 秒 (日本時間)
4511e6300 / 3875Serge BatalovMay 27, 2014 00:33:49 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 49 秒 (日本時間)
5043e647 / 7413CypJanuary 12, 2014 19:24:50 UTC 2014 年 1 月 13 日 (月) 4 時 24 分 50 秒 (日本時間)

53×10226-179

c175

name 名前Dmitry Domanov
date 日付February 13, 2014 05:33:16 UTC 2014 年 2 月 13 日 (木) 14 時 33 分 16 秒 (日本時間)
composite number 合成数
1153111208676287894806143637006757892669112992268650124544044687481315569554815387078237744150811191518536013924715569618630893271640644102263508993916040197753277823844489593<175>
prime factors 素因数
43916784874179165291961734885768758154662767<44>
composite cofactor 合成数の残り
26256731042127325832960295297990953152620817205791279483601186443156820287327013279868114106713140571486889281119436790940846493079<131>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1503537419
Step 1 took 30807ms
Step 2 took 10635ms
********** Factor found in step 2: 43916784874179165291961734885768758154662767
Found probable prime factor of 44 digits: 43916784874179165291961734885768758154662767

c131

name 名前Cyp
date 日付March 5, 2014 12:29:59 UTC 2014 年 3 月 5 日 (水) 21 時 29 分 59 秒 (日本時間)
composite number 合成数
26256731042127325832960295297990953152620817205791279483601186443156820287327013279868114106713140571486889281119436790940846493079<131>
prime factors 素因数
56908926440119835280323220006008095043247276422273753461772581<62>
461381591335322965910207979241529431030001037289776068774647363566859<69>
factorization results 素因数分解の結果
03/04/14 21:10:56 v1.34.3, 
03/04/14 21:10:56 v1.34.3, ****************************
03/04/14 21:10:56 v1.34.3, Starting factorization of 26256731042127325832960295297990953152620817205791279483601186443156820287327013279868114106713140571486889281119436790940846493079
03/04/14 21:10:56 v1.34.3, using pretesting plan: none
03/04/14 21:10:56 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
03/04/14 21:10:56 v1.34.3, ****************************
03/04/14 21:10:56 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C131
03/04/14 21:10:56 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C131
03/04/14 21:10:56 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C131
03/04/14 21:10:56 v1.34.3, final ECM pretested depth: 0.00
03/04/14 21:10:56 v1.34.3, scheduler: switching to sieve method
03/04/14 21:10:56 v1.34.3, nfs: commencing nfs on c131: 26256731042127325832960295297990953152620817205791279483601186443156820287327013279868114106713140571486889281119436790940846493079
03/04/14 21:10:56 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
03/04/14 21:10:56 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/04/14 21:24:32 v1.34.3, nfs: commencing lattice sieving with 8 threads
[60 lines snipped]
03/05/14 12:00:52 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/05/14 12:16:18 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/05/14 12:31:58 v1.34.3, nfs: commencing msieve filtering
03/05/14 12:36:49 v1.34.3, nfs: commencing msieve linear algebra
03/05/14 13:26:18 v1.34.3, nfs: commencing msieve sqrt
03/05/14 13:29:47 v1.34.3, prp69 = 461381591335322965910207979241529431030001037289776068774647363566859
03/05/14 13:29:47 v1.34.3, prp62 = 56908926440119835280323220006008095043247276422273753461772581
03/05/14 13:29:47 v1.34.3, NFS elapsed time = 58731.8878 seconds.
03/05/14 13:29:47 v1.34.3, 
03/05/14 13:29:47 v1.34.3, 
03/05/14 13:29:47 v1.34.3, Total factoring time = 58731.9142 seconds
--
Wed Mar  5 12:31:58 2014  
Wed Mar  5 12:31:58 2014  commencing relation filtering
Wed Mar  5 12:31:58 2014  estimated available RAM is 15988.7 MB
Wed Mar  5 12:31:58 2014  commencing duplicate removal, pass 1
Wed Mar  5 12:33:17 2014  found 2876449 hash collisions in 21251572 relations
Wed Mar  5 12:33:38 2014  added 120170 free relations
Wed Mar  5 12:33:38 2014  commencing duplicate removal, pass 2
Wed Mar  5 12:33:59 2014  found 1882428 duplicates and 19489314 unique relations
Wed Mar  5 12:33:59 2014  memory use: 82.6 MB
Wed Mar  5 12:33:59 2014  reading ideals above 720000
Wed Mar  5 12:33:59 2014  commencing singleton removal, initial pass
Wed Mar  5 12:35:40 2014  memory use: 376.5 MB
Wed Mar  5 12:35:40 2014  reading all ideals from disk
Wed Mar  5 12:35:40 2014  memory use: 599.9 MB
Wed Mar  5 12:35:41 2014  keeping 20103938 ideals with weight <= 200, target excess is 120098
Wed Mar  5 12:35:42 2014  commencing in-memory singleton removal
Wed Mar  5 12:35:44 2014  begin with 19489314 relations and 20103938 unique ideals
Wed Mar  5 12:35:54 2014  reduce to 8765834 relations and 7754103 ideals in 15 passes
Wed Mar  5 12:35:54 2014  max relations containing the same ideal: 125
Wed Mar  5 12:35:57 2014  removing 2029048 relations and 1629048 ideals in 400000 cliques
Wed Mar  5 12:35:57 2014  commencing in-memory singleton removal
Wed Mar  5 12:35:58 2014  begin with 6736786 relations and 7754103 unique ideals
Wed Mar  5 12:36:02 2014  reduce to 6360958 relations and 5727449 ideals in 10 passes
Wed Mar  5 12:36:02 2014  max relations containing the same ideal: 98
Wed Mar  5 12:36:04 2014  removing 1593572 relations and 1193572 ideals in 400000 cliques
Wed Mar  5 12:36:05 2014  commencing in-memory singleton removal
Wed Mar  5 12:36:05 2014  begin with 4767386 relations and 5727449 unique ideals
Wed Mar  5 12:36:08 2014  reduce to 4450178 relations and 4196416 ideals in 11 passes
Wed Mar  5 12:36:08 2014  max relations containing the same ideal: 72
Wed Mar  5 12:36:09 2014  removing 592715 relations and 478267 ideals in 114448 cliques
Wed Mar  5 12:36:10 2014  commencing in-memory singleton removal
Wed Mar  5 12:36:10 2014  begin with 3857463 relations and 4196416 unique ideals
Wed Mar  5 12:36:11 2014  reduce to 3802918 relations and 3662279 ideals in 8 passes
Wed Mar  5 12:36:11 2014  max relations containing the same ideal: 64
Wed Mar  5 12:36:13 2014  relations with 0 large ideals: 460
Wed Mar  5 12:36:13 2014  relations with 1 large ideals: 1914
Wed Mar  5 12:36:13 2014  relations with 2 large ideals: 28881
Wed Mar  5 12:36:13 2014  relations with 3 large ideals: 177435
Wed Mar  5 12:36:13 2014  relations with 4 large ideals: 563827
Wed Mar  5 12:36:13 2014  relations with 5 large ideals: 1005599
Wed Mar  5 12:36:13 2014  relations with 6 large ideals: 1068204
Wed Mar  5 12:36:13 2014  relations with 7+ large ideals: 956598
Wed Mar  5 12:36:13 2014  commencing 2-way merge
Wed Mar  5 12:36:15 2014  reduce to 2256277 relation sets and 2115638 unique ideals
Wed Mar  5 12:36:15 2014  commencing full merge
Wed Mar  5 12:36:39 2014  memory use: 259.8 MB
Wed Mar  5 12:36:39 2014  found 1173651 cycles, need 1153838
Wed Mar  5 12:36:39 2014  weight of 1153838 cycles is about 80946395 (70.15/cycle)
Wed Mar  5 12:36:39 2014  distribution of cycle lengths:
Wed Mar  5 12:36:39 2014  1 relations: 137377
Wed Mar  5 12:36:39 2014  2 relations: 128390
Wed Mar  5 12:36:39 2014  3 relations: 127976
Wed Mar  5 12:36:39 2014  4 relations: 119540
Wed Mar  5 12:36:39 2014  5 relations: 112056
Wed Mar  5 12:36:39 2014  6 relations: 100462
Wed Mar  5 12:36:39 2014  7 relations: 89150
Wed Mar  5 12:36:39 2014  8 relations: 77351
Wed Mar  5 12:36:39 2014  9 relations: 64389
Wed Mar  5 12:36:39 2014  10+ relations: 197147
Wed Mar  5 12:36:39 2014  heaviest cycle: 19 relations
Wed Mar  5 12:36:40 2014  commencing cycle optimization
Wed Mar  5 12:36:41 2014  start with 6621315 relations
Wed Mar  5 12:36:47 2014  pruned 160462 relations
Wed Mar  5 12:36:47 2014  memory use: 220.8 MB
Wed Mar  5 12:36:47 2014  distribution of cycle lengths:
Wed Mar  5 12:36:47 2014  1 relations: 137377
Wed Mar  5 12:36:47 2014  2 relations: 131204
Wed Mar  5 12:36:47 2014  3 relations: 132251
Wed Mar  5 12:36:47 2014  4 relations: 122748
Wed Mar  5 12:36:47 2014  5 relations: 114572
Wed Mar  5 12:36:47 2014  6 relations: 102554
Wed Mar  5 12:36:47 2014  7 relations: 90757
Wed Mar  5 12:36:47 2014  8 relations: 77614
Wed Mar  5 12:36:47 2014  9 relations: 64042
Wed Mar  5 12:36:47 2014  10+ relations: 180719
Wed Mar  5 12:36:47 2014  heaviest cycle: 19 relations
Wed Mar  5 12:36:48 2014  RelProcTime: 290
Wed Mar  5 12:36:49 2014  
Wed Mar  5 12:36:49 2014  commencing linear algebra
Wed Mar  5 12:36:49 2014  read 1153838 cycles
Wed Mar  5 12:36:50 2014  cycles contain 3687632 unique relations
Wed Mar  5 12:37:17 2014  read 3687632 relations
Wed Mar  5 12:37:20 2014  using 20 quadratic characters above 268433108
Wed Mar  5 12:37:33 2014  building initial matrix
Wed Mar  5 12:38:00 2014  memory use: 475.0 MB
Wed Mar  5 12:38:00 2014  read 1153838 cycles
Wed Mar  5 12:38:00 2014  matrix is 1153661 x 1153838 (350.1 MB) with weight 109897057 (95.24/col)
Wed Mar  5 12:38:00 2014  sparse part has weight 77926428 (67.54/col)
Wed Mar  5 12:38:07 2014  filtering completed in 2 passes
Wed Mar  5 12:38:07 2014  matrix is 1152821 x 1152998 (350.0 MB) with weight 109862712 (95.28/col)
Wed Mar  5 12:38:07 2014  sparse part has weight 77915439 (67.58/col)
Wed Mar  5 12:38:11 2014  matrix starts at (0, 0)
Wed Mar  5 12:38:11 2014  matrix is 1152821 x 1152998 (350.0 MB) with weight 109862712 (95.28/col)
Wed Mar  5 12:38:11 2014  sparse part has weight 77915439 (67.58/col)
Wed Mar  5 12:38:11 2014  saving the first 48 matrix rows for later
Wed Mar  5 12:38:11 2014  matrix includes 64 packed rows
Wed Mar  5 12:38:11 2014  matrix is 1152773 x 1152998 (335.7 MB) with weight 87493664 (75.88/col)
Wed Mar  5 12:38:11 2014  sparse part has weight 76470444 (66.32/col)
Wed Mar  5 12:38:11 2014  using block size 65536 for processor cache size 8192 kB
Wed Mar  5 12:38:14 2014  commencing Lanczos iteration (8 threads)
Wed Mar  5 12:38:14 2014  memory use: 323.0 MB
Wed Mar  5 12:38:18 2014  linear algebra at 0.1%, ETA 0h50m
Wed Mar  5 12:38:19 2014  checkpointing every 1460000 dimensions
Wed Mar  5 13:26:17 2014  lanczos halted after 18231 iterations (dim = 1152769)
Wed Mar  5 13:26:18 2014  recovered 30 nontrivial dependencies
Wed Mar  5 13:26:18 2014  BLanczosTime: 2969
Wed Mar  5 13:26:18 2014  
Wed Mar  5 13:26:18 2014  commencing square root phase
Wed Mar  5 13:26:18 2014  reading relations for dependency 1
Wed Mar  5 13:26:18 2014  read 577778 cycles
Wed Mar  5 13:26:19 2014  cycles contain 1846010 unique relations
Wed Mar  5 13:26:41 2014  read 1846010 relations
Wed Mar  5 13:26:47 2014  multiplying 1846010 relations
Wed Mar  5 13:28:11 2014  multiply complete, coefficients have about 84.84 million bits
Wed Mar  5 13:28:11 2014  initial square root is modulo 1229149
Wed Mar  5 13:29:47 2014  sqrtTime: 209
--
# Murphy_E = 7.949e-11, selected by Erik Branger
# expecting poly E from 7.84e-011 to > 9.01e-011
n: 26256731042127325832960295297990953152620817205791279483601186443156820287327013279868114106713140571486889281119436790940846493079
Y0: -16398824827453839759042991
Y1: 109756201050841
c0: 97652562863483678158483234332000
c1: 708791525386657279967331160
c2: -1226442477226847404408
c3: -8954232593893835
c4: -4530188328
c5: 22140
skew: 421706.25
type: gnfs
# selected mechanically
rlim: 10000000
alim: 10000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:24:56 UTC 2014 年 1 月 7 日 (火) 5 時 24 分 56 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 04:50:51 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 51 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:12:40 UTC 2014 年 2 月 13 日 (木) 7 時 12 分 40 秒 (日本時間)
4511e687 / 4040KTakahashiFebruary 23, 2014 11:49:11 UTC 2014 年 2 月 23 日 (日) 20 時 49 分 11 秒 (日本時間)

53×10227-179

c206

composite cofactor 合成数の残り
81082428546469614194796550996529286386378626425329484825192176880983232439777090391204323075883872271517850413356492322572353284450881093377587506297807032576841826811223488623443346781617923252317746275203<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6590290CypJanuary 4, 2014 02:06:01 UTC 2014 年 1 月 4 日 (土) 11 時 6 分 1 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:50:51 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 51 秒 (日本時間)
4511e6811 / 4345511CypJanuary 9, 2014 22:15:35 UTC 2014 年 1 月 10 日 (金) 7 時 15 分 35 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:49 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 49 秒 (日本時間)

53×10228-179

c186

composite cofactor 合成数の残り
990659901160164118188456928875910285336637436422163236121733382262533888299535592912138197527478296891020823766883489492790625859417871874557830685661601873999135894547122682230399591169<186>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e62090290CypDecember 31, 2013 20:45:14 UTC 2014 年 1 月 1 日 (水) 5 時 45 分 14 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:50:52 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 52 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:13:06 UTC 2014 年 2 月 13 日 (木) 7 時 13 分 6 秒 (日本時間)
4511e6367 / 401367CypMarch 8, 2014 03:48:50 UTC 2014 年 3 月 8 日 (土) 12 時 48 分 50 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:50 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 50 秒 (日本時間)

53×10229-179

c134

name 名前Erik Branger
date 日付May 18, 2014 08:14:10 UTC 2014 年 5 月 18 日 (日) 17 時 14 分 10 秒 (日本時間)
composite number 合成数
44445292582699096637578736991007967666237520433275976049682839744157556955388829240975843236502750402577794761001435072399451137380923<134>
prime factors 素因数
1489246060931553752954835674724494006265611104725804158628843406549<67>
29844156549185472144484553825643130092208614811819395817274384990927<68>
factorization results 素因数分解の結果
Number: 58887_229
N = 44445292582699096637578736991007967666237520433275976049682839744157556955388829240975843236502750402577794761001435072399451137380923 (134 digits)
Divisors found:
r1=1489246060931553752954835674724494006265611104725804158628843406549 (pp67)
r2=29844156549185472144484553825643130092208614811819395817274384990927 (pp68)
Version: Msieve v. 1.51 (SVN 845)
Total time: 162.40 hours.
Factorization parameters were as follows:
# Murphy_E = 4.623e-11, selected by Erik Branger
# expecting poly E from 4.99e-011 to > 5.74e-011
n: 44445292582699096637578736991007967666237520433275976049682839744157556955388829240975843236502750402577794761001435072399451137380923
Y0: -84692489607917935193899329
Y1: 79757013743323
c0: 646201803881785095856754727381560
c1: 1927874676528852467158882814
c2: -12297053893532630076895
c3: -3892795650555902
c4: 27438336248
c5: 10200
skew: 687700.1
type: gnfs
# selected mechanically
rlim: 12300000
alim: 12300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 12300000/12300000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 21111163
Relations: 2738978 relations
Pruned matrix : 1693985 x 1694211
Polynomial selection time: 0.00 hours.
Total sieving time: 159.32 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 2.47 hours.
time per square root: 0.47 hours.
Prototype def-par.txt line would be: gnfs,133,5,65,2000,1e-05,0.28,250,20,50000,3600,12300000,12300000,28,28,54,54,2.6,2.6,100000
total time: 162.40 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 21, 2013 21:57:26 UTC 2013 年 10 月 22 日 (火) 6 時 57 分 26 秒 (日本時間)
403e6110Ignacio SantosOctober 21, 2013 21:57:26 UTC 2013 年 10 月 22 日 (火) 6 時 57 分 26 秒 (日本時間)
4511e6282232Ignacio SantosOctober 21, 2013 21:57:26 UTC 2013 年 10 月 22 日 (火) 6 時 57 分 26 秒 (日本時間)
230Ignacio SantosOctober 22, 2013 13:11:21 UTC 2013 年 10 月 22 日 (火) 22 時 11 分 21 秒 (日本時間)
230Ignacio SantosOctober 22, 2013 16:00:09 UTC 2013 年 10 月 23 日 (水) 1 時 0 分 9 秒 (日本時間)
230Ignacio SantosOctober 23, 2013 14:04:10 UTC 2013 年 10 月 23 日 (水) 23 時 4 分 10 秒 (日本時間)
850Serge BatalovNovember 8, 2013 01:45:22 UTC 2013 年 11 月 8 日 (金) 10 時 45 分 22 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:08:30 UTC 2013 年 11 月 9 日 (土) 2 時 8 分 30 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:22:44 UTC 2014 年 1 月 6 日 (月) 11 時 22 分 44 秒 (日本時間)
5043e6500 / 6913Ignacio SantosMay 1, 2014 12:07:09 UTC 2014 年 5 月 1 日 (木) 21 時 7 分 9 秒 (日本時間)

53×10231-179

c228

name 名前Serge Batalov
date 日付January 5, 2014 17:49:35 UTC 2014 年 1 月 6 日 (月) 2 時 49 分 35 秒 (日本時間)
composite number 合成数
198272411329210763573242951041678357256957304093764145614251671286787949526577855590346752260492538597652903568529305036493346651253792427490282781350422170596575498767344159755189686841819766637112854411935250964239887171774987<228>
prime factors 素因数
101864751714403974616379800933654179077788576133<48>
1946428062624673959388719874530371777207216910664105729619202452322391715877139034404571337740197732247777086068602190789661689174229774434445594398023632856637406884185440369922639<181>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=92010109
Step 1 took 76213ms
Step 2 took 38217ms
********** Factor found in step 2: 101864751714403974616379800933654179077788576133
Found probable prime factor of 48 digits: 101864751714403974616379800933654179077788576133
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e6850 / 4475Serge BatalovNovember 8, 2013 17:16:04 UTC 2013 年 11 月 9 日 (土) 2 時 16 分 4 秒 (日本時間)

53×10232-179

c227

composite cofactor 合成数の残り
60758362958767196766187718808920565777290335213059517172778098192163569767051290031879798406044471223979514572778717239635225130942870057694077974073145502866591028236704035352654722031062655743459390887093880497929687441785177<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:24:57 UTC 2014 年 1 月 7 日 (火) 5 時 24 分 57 秒 (日本時間)
403e63100300Serge BatalovJanuary 9, 2014 04:50:52 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 52 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:13:26 UTC 2014 年 2 月 13 日 (木) 7 時 13 分 26 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:49 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 49 秒 (日本時間)

53×10233-179

c210

name 名前Cyp
date 日付February 15, 2014 02:19:54 UTC 2014 年 2 月 15 日 (土) 11 時 19 分 54 秒 (日本時間)
composite number 合成数
459908204481851499607039682384156009268477719563735706991880638452405687462331307399809699867917253935883672131832717561905641739687190606743477576649226280512716618904610446704955386676133004019512637289287153<210>
prime factors 素因数
504720846001013970126435611900602089455149<42>
composite cofactor 合成数の残り
911213016315413999820559356807555502630851561002925297342123353428043411414342329259987410875970532522574669305540116046699628602996337474007521693963088579326102957397<168>
factorization results 素因数分解の結果
Run 9 out of 67:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=685786713
Step 1 took 69103ms
Step 2 took 21454ms
********** Factor found in step 2: 504720846001013970126435611900602089455149
Found probable prime factor of 42 digits: 504720846001013970126435611900602089455149
Composite cofactor 911213016315413999820559356807555502630851561002925297342123353428043411414342329259987410875970532522574669305540116046699628602996337474007521693963088579326102957397 has 168 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 3, 2014 07:44:48 UTC 2014 年 1 月 3 日 (金) 16 時 44 分 48 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:50:53 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 53 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:13:38 UTC 2014 年 2 月 13 日 (木) 7 時 13 分 38 秒 (日本時間)
4511e6367 / 401367CypFebruary 15, 2014 02:19:53 UTC 2014 年 2 月 15 日 (土) 11 時 19 分 53 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:50 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 50 秒 (日本時間)

53×10236-179

c231

composite cofactor 合成数の残り
223034488580444815775826941396341502160846497523202004314160320809441815793627618503799645004841742091249637411148635611765296515304942221232454076672776549194401531346382197538616633213597478548816421196170994398425696333662288163<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 5, 2014 04:38:42 UTC 2014 年 1 月 5 日 (日) 13 時 38 分 42 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:50:54 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 54 秒 (日本時間)
100Dmitry DomanovFebruary 12, 2014 22:13:48 UTC 2014 年 2 月 13 日 (木) 7 時 13 分 48 秒 (日本時間)
1400Dmitry DomanovFebruary 12, 2014 22:13:55 UTC 2014 年 2 月 13 日 (木) 7 時 13 分 55 秒 (日本時間)
4511e6300 / 3683Serge BatalovMay 27, 2014 00:33:50 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 50 秒 (日本時間)
5043e694 / 7406CypFebruary 13, 2014 19:50:01 UTC 2014 年 2 月 14 日 (金) 4 時 50 分 1 秒 (日本時間)

53×10238-179

c205

name 名前Serge Batalov
date 日付May 19, 2014 06:01:37 UTC 2014 年 5 月 19 日 (月) 15 時 1 分 37 秒 (日本時間)
composite number 合成数
2112404982789190502610658028344491232952555991778177175474515175930716040679703024697814151838960025996256579436048080443999633618001651086065637390085719179459994053648108492422239334675926414930402188687<205>
prime factors 素因数
8127810653754277348491824338367932046283299<43>
259898399800130657243073867117202507770943682773068186638382527033737360152846545945584027150500966885274806649458619620267086045742146352906997452336614944354213<162>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4021341762
Step 1 took 17468ms
Step 2 took 12987ms
********** Factor found in step 2: 8127810653754277348491824338367932046283299
Found probable prime factor of 43 digits: 8127810653754277348491824338367932046283299
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e62090 / 2318290CypJanuary 4, 2014 22:09:16 UTC 2014 年 1 月 5 日 (日) 7 時 9 分 16 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:50:55 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 55 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:14:07 UTC 2014 年 2 月 13 日 (木) 7 時 14 分 7 秒 (日本時間)

53×10239-179

c222

name 名前Cyp
date 日付January 3, 2014 05:04:41 UTC 2014 年 1 月 3 日 (金) 14 時 4 分 41 秒 (日本時間)
composite number 合成数
108338503138977692960155395769852194624679438903502519770432050522225866349078993108340370190487315914150832253752307590064370218987386519108081263432449324995900669095449040858549041745287427759403682149794417545756628743<222>
prime factors 素因数
253432277294676364984146729922069<33>
427485023989300147454492013910176377404545246230419147154931232754664361055183249680445752932864203158539769978932460613746725482740723855404782000347365621415107080338768677805943968453547<189>
factorization results 素因数分解の結果
Run 116 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3721712740
Step 1 took 21850ms
Step 2 took 7041ms
********** Factor found in step 2: 253432277294676364984146729922069
Found probable prime factor of 33 digits: 253432277294676364984146729922069
Probable prime cofactor 427485023989300147454492013910176377404545246230419147154931232754664361055183249680445752932864203158539769978932460613746725482740723855404782000347365621415107080338768677805943968453547 has 189 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 579Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6116 / 2318CypJanuary 3, 2014 05:04:40 UTC 2014 年 1 月 3 日 (金) 14 時 4 分 40 秒 (日本時間)

53×10240-179

c211

name 名前Serge Batalov
date 日付May 19, 2014 03:05:20 UTC 2014 年 5 月 19 日 (月) 12 時 5 分 20 秒 (日本時間)
composite number 合成数
2082303596193695493348208490337387599756555524027992697729448653135776195691521747785900890641324366455405794694807103237254245265005912617593019482011302983768875875565252132117401658482707869433926670055906473<211>
prime factors 素因数
30796977512733778100875943554513367307551<41>
composite cofactor 合成数の残り
67613894750961037038569448175221532257618686676407279231383871683719494159609126183871845816095202069672282430854357460628335071800923962941582324072729085997200112192823<170>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2907616619
Step 1 took 17480ms
********** Factor found in step 1: 30796977512733778100875943554513367307551
Found probable prime factor of 41 digits: 30796977512733778100875943554513367307551
Composite cofactor 

c170

name 名前Serge Batalov
date 日付May 19, 2014 15:55:26 UTC 2014 年 5 月 20 日 (火) 0 時 55 分 26 秒 (日本時間)
composite number 合成数
67613894750961037038569448175221532257618686676407279231383871683719494159609126183871845816095202069672282430854357460628335071800923962941582324072729085997200112192823<170>
prime factors 素因数
224088033728784355759650840855478065898542659<45>
301729162534375692016786465840554077562245729338613523431920763855450067146182688961870092495924371269628315163416553099571197<126>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=170138058
Step 1 took 16751ms
Step 2 took 11525ms
********** Factor found in step 2: 224088033728784355759650840855478065898542659
Found probable prime factor of 45 digits: 224088033728784355759650840855478065898542659

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e62100 / 2318300CypDecember 29, 2013 16:09:11 UTC 2013 年 12 月 30 日 (月) 1 時 9 分 11 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:50:56 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 56 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:14:17 UTC 2014 年 2 月 13 日 (木) 7 時 14 分 17 秒 (日本時間)

53×10241-179

c223

name 名前Serge Batalov
date 日付May 27, 2014 07:22:52 UTC 2014 年 5 月 27 日 (火) 16 時 22 分 52 秒 (日本時間)
composite number 合成数
5890255485731989546094729325464522920231562174574045428765456608572023919609574126706326761861717540317090408090348723227796587013440984366557569421363774165606400393233446075845573228290163589534891313597668928871201894447<223>
prime factors 素因数
1149577462383388849148554797025267549033<40>
composite cofactor 合成数の残り
5123843915241585454998623423011744361170653149124453068710522942296727126936211394385785470725860567347509718210162852700820528249974088488173075516435397446109971393513349828043545559<184>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=3793781039
Step 1 took 78233ms
Step 2 took 36293ms
********** Factor found in step 2: 1149577462383388849148554797025267549033
Found probable prime factor of 40 digits: 1149577462383388849148554797025267549033
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e62100300CypDecember 29, 2013 16:09:06 UTC 2013 年 12 月 30 日 (月) 1 時 9 分 6 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:50:57 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 57 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:14:27 UTC 2014 年 2 月 13 日 (木) 7 時 14 分 27 秒 (日本時間)
4511e6364 / 401164CypFebruary 16, 2014 05:53:00 UTC 2014 年 2 月 16 日 (日) 14 時 53 分 0 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:51 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 51 秒 (日本時間)

53×10242-179

c211

composite cofactor 合成数の残り
5707960343394389547695416442001748524523448518632076282887385976955733738088433046128436060130712822726683543080473722926724801827810281126655978305575878405965166624479342035385989577679543909704369745545381109<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e62100300CypDecember 29, 2013 16:09:01 UTC 2013 年 12 月 30 日 (月) 1 時 9 分 1 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:50:58 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 58 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:14:40 UTC 2014 年 2 月 13 日 (木) 7 時 14 分 40 秒 (日本時間)
4511e6300 / 3877Serge BatalovMay 27, 2014 00:33:51 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 51 秒 (日本時間)
5043e638 / 7406CypJanuary 28, 2014 13:18:05 UTC 2014 年 1 月 28 日 (火) 22 時 18 分 5 秒 (日本時間)

53×10243-179

c199

name 名前Cyp
date 日付December 29, 2013 16:08:23 UTC 2013 年 12 月 30 日 (月) 1 時 8 分 23 秒 (日本時間)
composite number 合成数
2154188781703141308958588182534332910450382396696656464039786970806251754021998779440201528533308271946233442666722631412868954022267464377424066580605461383561010236632232385130588612027515803233663<199>
prime factors 素因数
934315340872610758269360718605452599<36>
composite cofactor 合成数の残り
2305633534488709863349914409565168020040469769885853202513068307757486898432085700604785140929018321347943049785666440532887685352138450393277250006894366356012537<163>
factorization results 素因数分解の結果
Run 296 out of 300:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3162847189
Step 1 took 18744ms
Step 2 took 6158ms
********** Factor found in step 2: 934315340872610758269360718605452599
Found probable prime factor of 36 digits: 934315340872610758269360718605452599
Composite cofactor 2305633534488709863349914409565168020040469769885853202513068307757486898432085700604785140929018321347943049785666440532887685352138450393277250006894366356012537 has 163 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

c163

name 名前Serge Batalov
date 日付January 4, 2014 22:43:17 UTC 2014 年 1 月 5 日 (日) 7 時 43 分 17 秒 (日本時間)
composite number 合成数
2305633534488709863349914409565168020040469769885853202513068307757486898432085700604785140929018321347943049785666440532887685352138450393277250006894366356012537<163>
prime factors 素因数
163753800728862494993032552776744689339<39>
14079877988946912151831508049482198118182003552540906847086556164177010677635197198509911530058504177400222541519746992446683<125>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=3177134592
Step 1 took 45005ms
********** Factor found in step 1: 163753800728862494993032552776744689339
Found probable prime factor of 39 digits: 163753800728862494993032552776744689339
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6300 / 593CypDecember 29, 2013 16:07:34 UTC 2013 年 12 月 30 日 (月) 1 時 7 分 34 秒 (日本時間)
4511e6500 / 4409Serge BatalovJanuary 4, 2014 22:39:10 UTC 2014 年 1 月 5 日 (日) 7 時 39 分 10 秒 (日本時間)

53×10246-179

c247

name 名前Serge Batalov
date 日付October 28, 2013 01:45:00 UTC 2013 年 10 月 28 日 (月) 10 時 45 分 0 秒 (日本時間)
composite number 合成数
5888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<247>
prime factors 素因数
20803517777755471010577780895901<32>
composite cofactor 合成数の残り
283071783906935556451619873035544266810206672910465816192031139107221547083903971641718244674763562594052050812904215709352189264657965876438961064753016066294491423656138133697693537739589611590938989390239232495587<216>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4162437297
Step 1 took 22729ms
Step 2 took 15845ms
********** Factor found in step 2: 20803517777755471010577780895901
Found probable prime factor of 32 digits: 20803517777755471010577780895901
Composite cofactor 283071783906935556451619873035544266810206672910465816192031139107221547083903971641718244674763562594052050812904215709352189264657965876438961064753016066294491423656138133697693537739589611590938989390239232495587 has 216 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6300CypDecember 29, 2013 16:07:00 UTC 2013 年 12 月 30 日 (月) 1 時 7 分 0 秒 (日本時間)
4511e6895 / 4409595CypJanuary 8, 2014 01:05:05 UTC 2014 年 1 月 8 日 (水) 10 時 5 分 5 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:52 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 52 秒 (日本時間)

53×10247-179

c196

composite cofactor 合成数の残り
2943959845452066971974240290459583694685298005385101949425650441336977504721444419554942035625077969237872040934613333068390829308201147508438374480173634704009652519750389082249440992241010919019<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e63400300CypDecember 29, 2013 16:06:13 UTC 2013 年 12 月 30 日 (月) 1 時 6 分 13 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:50:59 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 59 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:14:57 UTC 2014 年 2 月 13 日 (木) 7 時 14 分 57 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:49 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 49 秒 (日本時間)

53×10248-179

c222

name 名前Cyp
date 日付December 29, 2013 14:01:36 UTC 2013 年 12 月 29 日 (日) 23 時 1 分 36 秒 (日本時間)
composite number 合成数
309811917382024680164782266009404868906855298792486194854760540079529892031398461282094198784591912905540569257768619240854652318214328790973259171818590017114507088919145859731258580428136543791257357814825090056048560513<222>
prime factors 素因数
1827642977665852964053126117<28>
composite cofactor 合成数の残り
169514462708518903864910504696387560149057894531814995164303769874121151293591926458780108227748842208665499070599029015044299801195277922983058847480352004739148679721113457213975289618429953389<195>
factorization results 素因数分解の結果
Run 17 out of 300:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2482466406
Step 1 took 21803ms
Step 2 took 6975ms
********** Factor found in step 2: 1827642977665852964053126117
Found probable prime factor of 28 digits: 1827642977665852964053126117
Composite cofactor 169514462708518903864910504696387560149057894531814995164303769874121151293591926458780108227748842208665499070599029015044299801195277922983058847480352004739148679721113457213975289618429953389 has 195 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e62100300CypDecember 29, 2013 14:01:10 UTC 2013 年 12 月 29 日 (日) 23 時 1 分 10 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:50:59 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 59 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:15:07 UTC 2014 年 2 月 13 日 (木) 7 時 15 分 7 秒 (日本時間)
4511e6300 / 3877Serge BatalovMay 27, 2014 00:33:52 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 52 秒 (日本時間)
5043e638 / 7406CypJanuary 12, 2014 08:28:29 UTC 2014 年 1 月 12 日 (日) 17 時 28 分 29 秒 (日本時間)

53×10249-179

c243

name 名前Cyp
date 日付January 7, 2014 19:53:52 UTC 2014 年 1 月 8 日 (水) 4 時 53 分 52 秒 (日本時間)
composite number 合成数
447894448619581281057729952115604498080565242118090819320723110206769965154910506421492287794223025288517758478259511919616366404566441089275580673814267687801783145547670162516641497111363909498582925345857543824084435506499451274369989767133<243>
prime factors 素因数
45031614404745971724885538577436672629<38>
9946222327138615557245152669498104847436716979053524289687743587534674694638781611992544076350064801986564381636230222464290429653346369397867168834863084340645334815220948691245178339913610558697461234377<205>
factorization results 素因数分解の結果
Run 131 out of 595:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3460175718
Step 1 took 91053ms
Step 2 took 25688ms
********** Factor found in step 2: 45031614404745971724885538577436672629
Found probable prime factor of 38 digits: 45031614404745971724885538577436672629
Probable prime cofactor 9946222327138615557245152669498104847436716979053524289687743587534674694638781611992544076350064801986564381636230222464290429653346369397867168834863084340645334815220948691245178339913610558697461234377 has 205 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6300 / 1866CypDecember 29, 2013 16:05:09 UTC 2013 年 12 月 30 日 (月) 1 時 5 分 9 秒 (日本時間)
4511e6131 / 4409CypJanuary 7, 2014 19:53:51 UTC 2014 年 1 月 8 日 (水) 4 時 53 分 51 秒 (日本時間)