Table of contents 目次

62×10103-179

c85

name 名前Erik Branger
date 日付October 22, 2009 09:03:41 UTC 2009 年 10 月 22 日 (木) 18 時 3 分 41 秒 (日本時間)
composite number 合成数
8298824695311748374477858110031838988136273574343649262984615204677773844988630979077<85>
prime factors 素因数
935821881014050738831123008109811617879289<42>
8867953254436831317618185581870422405366893<43>
factorization results 素因数分解の結果
Thu Oct 22 10:09:34 2009  Msieve v. 1.40
Thu Oct 22 10:09:34 2009  random seeds: fd34b190 bd975fae
Thu Oct 22 10:09:34 2009  factoring 8298824695311748374477858110031838988136273574343649262984615204677773844988630979077 (85 digits)
Thu Oct 22 10:09:35 2009  searching for 15-digit factors
Thu Oct 22 10:09:37 2009  commencing quadratic sieve (85-digit input)
Thu Oct 22 10:09:37 2009  using multiplier of 1
Thu Oct 22 10:09:37 2009  using 64kb Pentium 4 sieve core
Thu Oct 22 10:09:37 2009  sieve interval: 6 blocks of size 65536
Thu Oct 22 10:09:37 2009  processing polynomials in batches of 17
Thu Oct 22 10:09:37 2009  using a sieve bound of 1433021 (55000 primes)
Thu Oct 22 10:09:37 2009  using large prime bound of 114641680 (26 bits)
Thu Oct 22 10:09:37 2009  using double large prime bound of 321230343743840 (41-49 bits)
Thu Oct 22 10:09:37 2009  using trial factoring cutoff of 49 bits
Thu Oct 22 10:09:37 2009  polynomial 'A' values have 11 factors
Thu Oct 22 10:59:23 2009  55345 relations (15653 full + 39692 combined from 575487 partial), need 55096
Thu Oct 22 10:59:25 2009  begin with 591140 relations
Thu Oct 22 10:59:26 2009  reduce to 131511 relations in 10 passes
Thu Oct 22 10:59:26 2009  attempting to read 131511 relations
Thu Oct 22 10:59:28 2009  recovered 131511 relations
Thu Oct 22 10:59:28 2009  recovered 113568 polynomials
Thu Oct 22 10:59:28 2009  attempting to build 55345 cycles
Thu Oct 22 10:59:29 2009  found 55345 cycles in 5 passes
Thu Oct 22 10:59:29 2009  distribution of cycle lengths:
Thu Oct 22 10:59:29 2009     length 1 : 15653
Thu Oct 22 10:59:29 2009     length 2 : 11068
Thu Oct 22 10:59:29 2009     length 3 : 9764
Thu Oct 22 10:59:29 2009     length 4 : 7259
Thu Oct 22 10:59:29 2009     length 5 : 4848
Thu Oct 22 10:59:29 2009     length 6 : 2983
Thu Oct 22 10:59:29 2009     length 7 : 1791
Thu Oct 22 10:59:29 2009     length 9+: 1979
Thu Oct 22 10:59:29 2009  largest cycle: 19 relations
Thu Oct 22 10:59:29 2009  matrix is 55000 x 55345 (12.0 MB) with weight 2926649 (52.88/col)
Thu Oct 22 10:59:29 2009  sparse part has weight 2926649 (52.88/col)
Thu Oct 22 10:59:30 2009  filtering completed in 3 passes
Thu Oct 22 10:59:30 2009  matrix is 50419 x 50482 (11.0 MB) with weight 2681514 (53.12/col)
Thu Oct 22 10:59:30 2009  sparse part has weight 2681514 (53.12/col)
Thu Oct 22 10:59:30 2009  saving the first 48 matrix rows for later
Thu Oct 22 10:59:30 2009  matrix is 50371 x 50482 (6.5 MB) with weight 2036405 (40.34/col)
Thu Oct 22 10:59:30 2009  sparse part has weight 1390788 (27.55/col)
Thu Oct 22 10:59:30 2009  matrix includes 64 packed rows
Thu Oct 22 10:59:30 2009  using block size 20192 for processor cache size 512 kB
Thu Oct 22 10:59:31 2009  commencing Lanczos iteration
Thu Oct 22 10:59:31 2009  memory use: 6.8 MB
Thu Oct 22 10:59:52 2009  lanczos halted after 798 iterations (dim = 50368)
Thu Oct 22 10:59:52 2009  recovered 15 nontrivial dependencies
Thu Oct 22 10:59:52 2009  prp42 factor: 935821881014050738831123008109811617879289
Thu Oct 22 10:59:52 2009  prp43 factor: 8867953254436831317618185581870422405366893
Thu Oct 22 10:59:52 2009  elapsed time 00:50:18
software ソフトウェア
Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 19, 2009 13:00:00 UTC 2009 年 10 月 19 日 (月) 22 時 0 分 0 秒 (日本時間)

62×10107-179

c108

name 名前Erik Branger
date 日付October 22, 2009 08:30:08 UTC 2009 年 10 月 22 日 (木) 17 時 30 分 8 秒 (日本時間)
composite number 合成数
229629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629<108>
prime factors 素因数
64491293756081752461179581215688846049520648869<47>
3560629912281373017071203551569816106852159704383341998954041<61>
factorization results 素因数分解の結果
Number: 68887_107
N=229629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629
  ( 108 digits)
SNFS difficulty: 109 digits.
Divisors found:
 r1=64491293756081752461179581215688846049520648869 (pp47)
 r2=3560629912281373017071203551569816106852159704383341998954041 (pp61)
Version: Msieve-1.40
Total time: 0.79 hours.
Scaled time: 0.77 units (timescale=0.982).
Factorization parameters were as follows:
n: 229629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629
m: 2000000000000000000000
deg: 5
c5: 775
c0: -68
skew: 0.61
type: snfs
lss: 1
rlim: 470000
alim: 470000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 470000/470000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [235000, 385001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 49917 x 50142
Total sieving time: 0.77 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,109.000,5,0,0,0,0,0,0,0,0,470000,470000,25,25,44,44,2.2,2.2,50000
total time: 0.79 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 KamadaOctober 19, 2009 13:00:00 UTC 2009 年 10 月 19 日 (月) 22 時 0 分 0 秒 (日本時間)

62×10108-179

c104

name 名前Serge Batalov
date 日付October 23, 2009 05:56:42 UTC 2009 年 10 月 23 日 (金) 14 時 56 分 42 秒 (日本時間)
composite number 合成数
14501061734995903450059863657275358088516819711339993998431546451695443088127396037327604010619454951867<104>
prime factors 素因数
46859901000776781131465690847842935612263181<44>
309455663057323235274691052519448169795958335578466652421607<60>
factorization results 素因数分解の結果
SNFS difficulty: 111 digits.
Divisors found:
 r1=46859901000776781131465690847842935612263181 (pp44)
 r2=309455663057323235274691052519448169795958335578466652421607 (pp60)
Version: Msieve v. 1.44 SVN130
Total time: 0.57 hours.
Scaled time: 1.36 units (timescale=2.400).
Factorization parameters were as follows:
n: 14501061734995903450059863657275358088516819711339993998431546451695443088127396037327604010619454951867
m: 5000000000000000000000
deg: 5
c5: 496
c0: -425
skew: 0.97
type: snfs
lss: 1
rlim: 500000
alim: 500000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 500000/500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [312500, 512501)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 46087 x 46312
Total sieving time: 0.54 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,111.000,5,0,0,0,0,0,0,0,0,500000,500000,25,25,44,44,2.2,2.2,50000
total time: 0.57 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 19, 2009 13:00:00 UTC 2009 年 10 月 19 日 (月) 22 時 0 分 0 秒 (日本時間)

62×10109-179

c87

name 名前Sinkiti Sibata
date 日付October 22, 2009 10:44:47 UTC 2009 年 10 月 22 日 (木) 19 時 44 分 47 秒 (日本時間)
composite number 合成数
220401478664603519375383405432518926127525657644225991138432451226602722341653266763013<87>
prime factors 素因数
373226485798271546570745311604637<33>
590530112548685105063077860747536971066839589208013449<54>
factorization results 素因数分解の結果
Thu Oct 22 18:51:43 2009  Msieve v. 1.42
Thu Oct 22 18:51:43 2009  random seeds: d2657204 ab8952dc
Thu Oct 22 18:51:43 2009  factoring 220401478664603519375383405432518926127525657644225991138432451226602722341653266763013 (87 digits)
Thu Oct 22 18:51:44 2009  searching for 15-digit factors
Thu Oct 22 18:51:44 2009  commencing quadratic sieve (87-digit input)
Thu Oct 22 18:51:44 2009  using multiplier of 5
Thu Oct 22 18:51:44 2009  using 32kb Intel Core sieve core
Thu Oct 22 18:51:44 2009  sieve interval: 19 blocks of size 32768
Thu Oct 22 18:51:44 2009  processing polynomials in batches of 11
Thu Oct 22 18:51:44 2009  using a sieve bound of 1480181 (56048 primes)
Thu Oct 22 18:51:44 2009  using large prime bound of 118414480 (26 bits)
Thu Oct 22 18:51:44 2009  using double large prime bound of 340509007839120 (41-49 bits)
Thu Oct 22 18:51:44 2009  using trial factoring cutoff of 49 bits
Thu Oct 22 18:51:44 2009  polynomial 'A' values have 11 factors
Thu Oct 22 19:34:44 2009  56304 relations (15498 full + 40806 combined from 596323 partial), need 56144
Thu Oct 22 19:34:44 2009  begin with 611821 relations
Thu Oct 22 19:34:45 2009  reduce to 135195 relations in 9 passes
Thu Oct 22 19:34:45 2009  attempting to read 135195 relations
Thu Oct 22 19:34:47 2009  recovered 135195 relations
Thu Oct 22 19:34:47 2009  recovered 115179 polynomials
Thu Oct 22 19:34:47 2009  attempting to build 56304 cycles
Thu Oct 22 19:34:47 2009  found 56304 cycles in 6 passes
Thu Oct 22 19:34:47 2009  distribution of cycle lengths:
Thu Oct 22 19:34:47 2009     length 1 : 15498
Thu Oct 22 19:34:47 2009     length 2 : 11196
Thu Oct 22 19:34:47 2009     length 3 : 9916
Thu Oct 22 19:34:47 2009     length 4 : 7345
Thu Oct 22 19:34:47 2009     length 5 : 5139
Thu Oct 22 19:34:47 2009     length 6 : 3312
Thu Oct 22 19:34:47 2009     length 7 : 1821
Thu Oct 22 19:34:47 2009     length 9+: 2077
Thu Oct 22 19:34:47 2009  largest cycle: 20 relations
Thu Oct 22 19:34:47 2009  matrix is 56048 x 56304 (13.0 MB) with weight 3169763 (56.30/col)
Thu Oct 22 19:34:47 2009  sparse part has weight 3169763 (56.30/col)
Thu Oct 22 19:34:48 2009  filtering completed in 3 passes
Thu Oct 22 19:34:48 2009  matrix is 51650 x 51714 (12.0 MB) with weight 2942276 (56.90/col)
Thu Oct 22 19:34:48 2009  sparse part has weight 2942276 (56.90/col)
Thu Oct 22 19:34:48 2009  saving the first 48 matrix rows for later
Thu Oct 22 19:34:48 2009  matrix is 51602 x 51714 (7.6 MB) with weight 2309506 (44.66/col)
Thu Oct 22 19:34:48 2009  sparse part has weight 1690525 (32.69/col)
Thu Oct 22 19:34:48 2009  matrix includes 64 packed rows
Thu Oct 22 19:34:48 2009  using block size 20685 for processor cache size 1024 kB
Thu Oct 22 19:34:49 2009  commencing Lanczos iteration
Thu Oct 22 19:34:49 2009  memory use: 7.9 MB
Thu Oct 22 19:35:05 2009  lanczos halted after 818 iterations (dim = 51597)
Thu Oct 22 19:35:05 2009  recovered 14 nontrivial dependencies
Thu Oct 22 19:35:07 2009  prp33 factor: 373226485798271546570745311604637
Thu Oct 22 19:35:07 2009  prp54 factor: 590530112548685105063077860747536971066839589208013449
Thu Oct 22 19:35:07 2009  elapsed time 00:43:24

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 19, 2009 13:00:00 UTC 2009 年 10 月 19 日 (月) 22 時 0 分 0 秒 (日本時間)

62×10110-179

c88

name 名前Sinkiti Sibata
date 日付October 22, 2009 11:43:19 UTC 2009 年 10 月 22 日 (木) 20 時 43 分 19 秒 (日本時間)
composite number 合成数
3638537656057392856328944182463998331622023069282498652558204204437534061142225838563313<88>
prime factors 素因数
34175041639276303340196029466299407<35>
106467687573370376329491577608022327612581959057576959<54>
factorization results 素因数分解の結果
Thu Oct 22 19:47:44 2009  Msieve v. 1.42
Thu Oct 22 19:47:44 2009  random seeds: f96bc3d0 b313e32a
Thu Oct 22 19:47:44 2009  factoring 3638537656057392856328944182463998331622023069282498652558204204437534061142225838563313 (88 digits)
Thu Oct 22 19:47:45 2009  searching for 15-digit factors
Thu Oct 22 19:47:46 2009  commencing quadratic sieve (88-digit input)
Thu Oct 22 19:47:46 2009  using multiplier of 1
Thu Oct 22 19:47:46 2009  using 32kb Intel Core sieve core
Thu Oct 22 19:47:46 2009  sieve interval: 25 blocks of size 32768
Thu Oct 22 19:47:46 2009  processing polynomials in batches of 9
Thu Oct 22 19:47:46 2009  using a sieve bound of 1517707 (57593 primes)
Thu Oct 22 19:47:46 2009  using large prime bound of 121416560 (26 bits)
Thu Oct 22 19:47:46 2009  using double large prime bound of 356205104400640 (42-49 bits)
Thu Oct 22 19:47:46 2009  using trial factoring cutoff of 49 bits
Thu Oct 22 19:47:46 2009  polynomial 'A' values have 11 factors
Thu Oct 22 20:28:46 2009  57741 relations (16316 full + 41425 combined from 604418 partial), need 57689
Thu Oct 22 20:28:47 2009  begin with 620734 relations
Thu Oct 22 20:28:47 2009  reduce to 137770 relations in 10 passes
Thu Oct 22 20:28:47 2009  attempting to read 137770 relations
Thu Oct 22 20:28:49 2009  recovered 137770 relations
Thu Oct 22 20:28:49 2009  recovered 111771 polynomials
Thu Oct 22 20:28:49 2009  attempting to build 57741 cycles
Thu Oct 22 20:28:49 2009  found 57741 cycles in 5 passes
Thu Oct 22 20:28:49 2009  distribution of cycle lengths:
Thu Oct 22 20:28:49 2009     length 1 : 16316
Thu Oct 22 20:28:49 2009     length 2 : 11459
Thu Oct 22 20:28:49 2009     length 3 : 10045
Thu Oct 22 20:28:49 2009     length 4 : 7511
Thu Oct 22 20:28:49 2009     length 5 : 5051
Thu Oct 22 20:28:49 2009     length 6 : 3272
Thu Oct 22 20:28:49 2009     length 7 : 1919
Thu Oct 22 20:28:49 2009     length 9+: 2168
Thu Oct 22 20:28:49 2009  largest cycle: 19 relations
Thu Oct 22 20:28:50 2009  matrix is 57593 x 57741 (13.4 MB) with weight 3285957 (56.91/col)
Thu Oct 22 20:28:50 2009  sparse part has weight 3285957 (56.91/col)
Thu Oct 22 20:28:50 2009  filtering completed in 3 passes
Thu Oct 22 20:28:50 2009  matrix is 52948 x 53010 (12.5 MB) with weight 3058098 (57.69/col)
Thu Oct 22 20:28:50 2009  sparse part has weight 3058098 (57.69/col)
Thu Oct 22 20:28:50 2009  saving the first 48 matrix rows for later
Thu Oct 22 20:28:50 2009  matrix is 52900 x 53010 (8.3 MB) with weight 2433607 (45.91/col)
Thu Oct 22 20:28:50 2009  sparse part has weight 1856684 (35.03/col)
Thu Oct 22 20:28:50 2009  matrix includes 64 packed rows
Thu Oct 22 20:28:50 2009  using block size 21204 for processor cache size 1024 kB
Thu Oct 22 20:28:51 2009  commencing Lanczos iteration
Thu Oct 22 20:28:51 2009  memory use: 8.4 MB
Thu Oct 22 20:29:08 2009  lanczos halted after 838 iterations (dim = 52899)
Thu Oct 22 20:29:08 2009  recovered 16 nontrivial dependencies
Thu Oct 22 20:29:08 2009  prp35 factor: 34175041639276303340196029466299407
Thu Oct 22 20:29:08 2009  prp54 factor: 106467687573370376329491577608022327612581959057576959
Thu Oct 22 20:29:08 2009  elapsed time 00:41:24

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 19, 2009 13:00:00 UTC 2009 年 10 月 19 日 (月) 22 時 0 分 0 秒 (日本時間)

62×10111-179

c94

name 名前Sinkiti Sibata
date 日付October 22, 2009 15:06:05 UTC 2009 年 10 月 23 日 (金) 0 時 6 分 5 秒 (日本時間)
composite number 合成数
3604968799039236706524693981054537071333612156402064636673186885165658800240706988506933852357<94>
prime factors 素因数
660147994517388539314411545518085157537248401<45>
5460849429187019232147638751889511274742905293557<49>
factorization results 素因数分解の結果
Thu Oct 22 20:45:19 2009  Msieve v. 1.42
Thu Oct 22 20:45:19 2009  random seeds: 280bcafc e7ff4b71
Thu Oct 22 20:45:19 2009  factoring 3604968799039236706524693981054537071333612156402064636673186885165658800240706988506933852357 (94 digits)
Thu Oct 22 20:45:20 2009  searching for 15-digit factors
Thu Oct 22 20:45:21 2009  commencing quadratic sieve (94-digit input)
Thu Oct 22 20:45:21 2009  using multiplier of 29
Thu Oct 22 20:45:21 2009  using 32kb Intel Core sieve core
Thu Oct 22 20:45:21 2009  sieve interval: 36 blocks of size 32768
Thu Oct 22 20:45:21 2009  processing polynomials in batches of 6
Thu Oct 22 20:45:21 2009  using a sieve bound of 2023369 (75294 primes)
Thu Oct 22 20:45:21 2009  using large prime bound of 271131446 (28 bits)
Thu Oct 22 20:45:21 2009  using double large prime bound of 1512598956202640 (42-51 bits)
Thu Oct 22 20:45:21 2009  using trial factoring cutoff of 51 bits
Thu Oct 22 20:45:21 2009  polynomial 'A' values have 12 factors
Thu Oct 22 23:57:17 2009  75593 relations (18708 full + 56885 combined from 1066860 partial), need 75390
Thu Oct 22 23:57:19 2009  begin with 1085568 relations
Thu Oct 22 23:57:20 2009  reduce to 195381 relations in 11 passes
Thu Oct 22 23:57:20 2009  attempting to read 195381 relations
Thu Oct 22 23:57:23 2009  recovered 195381 relations
Thu Oct 22 23:57:23 2009  recovered 179758 polynomials
Thu Oct 22 23:57:23 2009  attempting to build 75593 cycles
Thu Oct 22 23:57:23 2009  found 75593 cycles in 5 passes
Thu Oct 22 23:57:23 2009  distribution of cycle lengths:
Thu Oct 22 23:57:23 2009     length 1 : 18708
Thu Oct 22 23:57:23 2009     length 2 : 13355
Thu Oct 22 23:57:23 2009     length 3 : 12883
Thu Oct 22 23:57:23 2009     length 4 : 10340
Thu Oct 22 23:57:23 2009     length 5 : 7585
Thu Oct 22 23:57:23 2009     length 6 : 5128
Thu Oct 22 23:57:23 2009     length 7 : 3230
Thu Oct 22 23:57:23 2009     length 9+: 4364
Thu Oct 22 23:57:23 2009  largest cycle: 20 relations
Thu Oct 22 23:57:24 2009  matrix is 75294 x 75593 (20.3 MB) with weight 5015048 (66.34/col)
Thu Oct 22 23:57:24 2009  sparse part has weight 5015048 (66.34/col)
Thu Oct 22 23:57:25 2009  filtering completed in 4 passes
Thu Oct 22 23:57:25 2009  matrix is 71654 x 71718 (19.3 MB) with weight 4778097 (66.62/col)
Thu Oct 22 23:57:25 2009  sparse part has weight 4778097 (66.62/col)
Thu Oct 22 23:57:25 2009  saving the first 48 matrix rows for later
Thu Oct 22 23:57:25 2009  matrix is 71606 x 71718 (13.2 MB) with weight 3887217 (54.20/col)
Thu Oct 22 23:57:25 2009  sparse part has weight 3026218 (42.20/col)
Thu Oct 22 23:57:25 2009  matrix includes 64 packed rows
Thu Oct 22 23:57:25 2009  using block size 28687 for processor cache size 1024 kB
Thu Oct 22 23:57:26 2009  commencing Lanczos iteration
Thu Oct 22 23:57:26 2009  memory use: 12.7 MB
Thu Oct 22 23:58:03 2009  lanczos halted after 1134 iterations (dim = 71604)
Thu Oct 22 23:58:03 2009  recovered 16 nontrivial dependencies
Thu Oct 22 23:58:04 2009  prp45 factor: 660147994517388539314411545518085157537248401
Thu Oct 22 23:58:04 2009  prp49 factor: 5460849429187019232147638751889511274742905293557
Thu Oct 22 23:58:04 2009  elapsed time 03:12:45

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 19, 2009 13:00:00 UTC 2009 年 10 月 19 日 (月) 22 時 0 分 0 秒 (日本時間)

62×10118-179

c101

name 名前Erik Branger
date 日付October 22, 2009 11:53:41 UTC 2009 年 10 月 22 日 (木) 20 時 53 分 41 秒 (日本時間)
composite number 合成数
55281746804711047413147085542352502587218872411016410646872878050579577112931965008102182600519007481<101>
prime factors 素因数
1107425712352658416164331896759556635993194543<46>
49919146890014271345218701495435856544040574826259751767<56>
factorization results 素因数分解の結果
Number: 68887_118
N=55281746804711047413147085542352502587218872411016410646872878050579577112931965008102182600519007481
  ( 101 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=1107425712352658416164331896759556635993194543 (pp46)
 r2=49919146890014271345218701495435856544040574826259751767 (pp56)
Version: Msieve-1.40
Total time: 1.39 hours.
Scaled time: 1.31 units (timescale=0.944).
Factorization parameters were as follows:
n: 55281746804711047413147085542352502587218872411016410646872878050579577112931965008102182600519007481
m: 500000000000000000000000
deg: 5
c5: 496
c0: -425
skew: 0.97
type: snfs
lss: 1
rlim: 730000
alim: 730000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 730000/730000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [365000, 615001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 76178 x 76404
Total sieving time: 1.35 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,121.000,5,0,0,0,0,0,0,0,0,730000,730000,25,25,46,46,2.2,2.2,50000
total time: 1.39 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 KamadaOctober 19, 2009 13:00:00 UTC 2009 年 10 月 19 日 (月) 22 時 0 分 0 秒 (日本時間)

62×10124-179

c103

name 名前Erik Branger
date 日付October 22, 2009 12:50:57 UTC 2009 年 10 月 22 日 (木) 21 時 50 分 57 秒 (日本時間)
composite number 合成数
5497949554852418488290940989144761344184679566894847209327534296291745092060974983110450650315423766627<103>
prime factors 素因数
99814881408334166492104918462203337432729043<44>
55081461574459782075149704562271031348782495790432760592689<59>
factorization results 素因数分解の結果
Number: 68887_124
N=5497949554852418488290940989144761344184679566894847209327534296291745092060974983110450650315423766627
  ( 103 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=99814881408334166492104918462203337432729043 (pp44)
 r2=55081461574459782075149704562271031348782495790432760592689 (pp59)
Version: Msieve-1.40
Total time: 1.66 hours.
Scaled time: 1.71 units (timescale=1.031).
Factorization parameters were as follows:
n: 5497949554852418488290940989144761344184679566894847209327534296291745092060974983110450650315423766627
m: 10000000000000000000000000
deg: 5
c5: 31
c0: -85
skew: 1.22
type: snfs
lss: 1
rlim: 900000
alim: 900000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3Factor base limits: 900000/900000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [450000, 700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 118843 x 119069
Total sieving time: 1.59 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,126.000,5,0,0,0,0,0,0,0,0,900000,900000,26,26,46,46,2.3,2.3,50000
total time: 1.66 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 KamadaOctober 19, 2009 13:00:00 UTC 2009 年 10 月 19 日 (月) 22 時 0 分 0 秒 (日本時間)

62×10126-179

c113

name 名前Robert Backstrom
date 日付October 29, 2009 01:37:12 UTC 2009 年 10 月 29 日 (木) 10 時 37 分 12 秒 (日本時間)
composite number 合成数
54577140102698788478968629476910731542323421602049717663968754282023809748791855193804422746495616416174461459763<113>
prime factors 素因数
17478016109900362123148044512875872521564383<44>
3122616420509176390118982265005374742402752146903093305407083770722861<70>
factorization results 素因数分解の結果
Number: n
N=54577140102698788478968629476910731542323421602049717663968754282023809748791855193804422746495616416174461459763
  ( 113 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=17478016109900362123148044512875872521564383 (pp44)
 r2=3122616420509176390118982265005374742402752146903093305407083770722861 (pp70)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 2.44 hours.
Scaled time: 4.44 units (timescale=1.823).
Factorization parameters were as follows:
name: KA_6_8_125_7
n: 54577140102698788478968629476910731542323421602049717663968754282023809748791855193804422746495616416174461459763
m: 20000000000000000000000000
deg: 5
c5: 155
c0: -136
skew: 0.97
type: snfs
lss: 1
rlim: 980000
alim: 980000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
qintsize: 10000
Factor base limits: 980000/980000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [490000, 850001)
Primes: RFBsize:77067, AFBsize:77074, largePrimes:2525068 encountered
Relations: rels:2371743, finalFF:176884
Max relations in full relation-set: 48
Initial matrix: 154208 x 176884 with sparse part having weight 15357027.
Pruned matrix : 146855 x 147690 with weight 9842125.
Total sieving time: 2.24 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.12 hours.
Total square root time: 0.02 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,128,5,0,0,0,0,0,0,0,0,980000,980000,26,26,47,47,2.3,2.3,50000
total time: 2.44 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 28, 2009 09:00:00 UTC 2009 年 10 月 28 日 (水) 18 時 0 分 0 秒 (日本時間)

62×10128-179

c87

name 名前Sinkiti Sibata
date 日付October 29, 2009 00:36:52 UTC 2009 年 10 月 29 日 (木) 9 時 36 分 52 秒 (日本時間)
composite number 合成数
277289812686762027301312045381903076962595440431498977011201304744729183842977946583711<87>
prime factors 素因数
19238524155145887995567897573406759382183<41>
14413258025958972317973107989704103083120550217<47>
factorization results 素因数分解の結果
Thu Oct 29 08:01:12 2009  Msieve v. 1.42
Thu Oct 29 08:01:12 2009  random seeds: 0947fb50 3b7d3568
Thu Oct 29 08:01:12 2009  factoring 277289812686762027301312045381903076962595440431498977011201304744729183842977946583711 (87 digits)
Thu Oct 29 08:01:13 2009  searching for 15-digit factors
Thu Oct 29 08:01:13 2009  commencing quadratic sieve (87-digit input)
Thu Oct 29 08:01:13 2009  using multiplier of 35
Thu Oct 29 08:01:13 2009  using 32kb Intel Core sieve core
Thu Oct 29 08:01:13 2009  sieve interval: 20 blocks of size 32768
Thu Oct 29 08:01:13 2009  processing polynomials in batches of 11
Thu Oct 29 08:01:13 2009  using a sieve bound of 1484803 (56667 primes)
Thu Oct 29 08:01:13 2009  using large prime bound of 118784240 (26 bits)
Thu Oct 29 08:01:13 2009  using double large prime bound of 342425267860000 (42-49 bits)
Thu Oct 29 08:01:13 2009  using trial factoring cutoff of 49 bits
Thu Oct 29 08:01:13 2009  polynomial 'A' values have 11 factors
Thu Oct 29 08:50:06 2009  56767 relations (15620 full + 41147 combined from 598038 partial), need 56763
Thu Oct 29 08:50:07 2009  begin with 613658 relations
Thu Oct 29 08:50:08 2009  reduce to 136464 relations in 11 passes
Thu Oct 29 08:50:08 2009  attempting to read 136464 relations
Thu Oct 29 08:50:09 2009  recovered 136464 relations
Thu Oct 29 08:50:09 2009  recovered 117722 polynomials
Thu Oct 29 08:50:10 2009  attempting to build 56767 cycles
Thu Oct 29 08:50:10 2009  found 56767 cycles in 5 passes
Thu Oct 29 08:50:10 2009  distribution of cycle lengths:
Thu Oct 29 08:50:10 2009     length 1 : 15620
Thu Oct 29 08:50:10 2009     length 2 : 11099
Thu Oct 29 08:50:10 2009     length 3 : 10028
Thu Oct 29 08:50:10 2009     length 4 : 7451
Thu Oct 29 08:50:10 2009     length 5 : 5227
Thu Oct 29 08:50:10 2009     length 6 : 3205
Thu Oct 29 08:50:10 2009     length 7 : 1902
Thu Oct 29 08:50:10 2009     length 9+: 2235
Thu Oct 29 08:50:10 2009  largest cycle: 22 relations
Thu Oct 29 08:50:10 2009  matrix is 56667 x 56767 (13.5 MB) with weight 3322806 (58.53/col)
Thu Oct 29 08:50:10 2009  sparse part has weight 3322806 (58.53/col)
Thu Oct 29 08:50:11 2009  filtering completed in 4 passes
Thu Oct 29 08:50:11 2009  matrix is 52465 x 52529 (12.7 MB) with weight 3116575 (59.33/col)
Thu Oct 29 08:50:11 2009  sparse part has weight 3116575 (59.33/col)
Thu Oct 29 08:50:11 2009  saving the first 48 matrix rows for later
Thu Oct 29 08:50:11 2009  matrix is 52417 x 52529 (8.7 MB) with weight 2519016 (47.95/col)
Thu Oct 29 08:50:11 2009  sparse part has weight 1975140 (37.60/col)
Thu Oct 29 08:50:11 2009  matrix includes 64 packed rows
Thu Oct 29 08:50:11 2009  using block size 21011 for processor cache size 1024 kB
Thu Oct 29 08:50:11 2009  commencing Lanczos iteration
Thu Oct 29 08:50:11 2009  memory use: 8.6 MB
Thu Oct 29 08:50:29 2009  lanczos halted after 831 iterations (dim = 52415)
Thu Oct 29 08:50:29 2009  recovered 18 nontrivial dependencies
Thu Oct 29 08:50:29 2009  prp41 factor: 19238524155145887995567897573406759382183
Thu Oct 29 08:50:29 2009  prp47 factor: 14413258025958972317973107989704103083120550217
Thu Oct 29 08:50:29 2009  elapsed time 00:49:17

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 28, 2009 09:00:00 UTC 2009 年 10 月 28 日 (水) 18 時 0 分 0 秒 (日本時間)

62×10130-179

c88

name 名前Sinkiti Sibata
date 日付October 29, 2009 01:26:27 UTC 2009 年 10 月 29 日 (木) 10 時 26 分 27 秒 (日本時間)
composite number 合成数
2885055697918354219788012698586494272919721129686201143026490798695353880043070995869221<88>
prime factors 素因数
2216843675469889748033783817831646405793<40>
1301424962816481848646950520141595158687854696197<49>
factorization results 素因数分解の結果
Thu Oct 29 09:38:44 2009  Msieve v. 1.42
Thu Oct 29 09:38:44 2009  random seeds: 844858f0 9939bf40
Thu Oct 29 09:38:44 2009  factoring 2885055697918354219788012698586494272919721129686201143026490798695353880043070995869221 (88 digits)
Thu Oct 29 09:38:45 2009  searching for 15-digit factors
Thu Oct 29 09:38:45 2009  commencing quadratic sieve (88-digit input)
Thu Oct 29 09:38:46 2009  using multiplier of 5
Thu Oct 29 09:38:46 2009  using 32kb Intel Core sieve core
Thu Oct 29 09:38:46 2009  sieve interval: 25 blocks of size 32768
Thu Oct 29 09:38:46 2009  processing polynomials in batches of 9
Thu Oct 29 09:38:46 2009  using a sieve bound of 1517707 (57351 primes)
Thu Oct 29 09:38:46 2009  using large prime bound of 121416560 (26 bits)
Thu Oct 29 09:38:46 2009  using double large prime bound of 356205104400640 (42-49 bits)
Thu Oct 29 09:38:46 2009  using trial factoring cutoff of 49 bits
Thu Oct 29 09:38:46 2009  polynomial 'A' values have 11 factors
Thu Oct 29 10:19:57 2009  57823 relations (16380 full + 41443 combined from 602864 partial), need 57447
Thu Oct 29 10:19:58 2009  begin with 619244 relations
Thu Oct 29 10:19:59 2009  reduce to 137627 relations in 10 passes
Thu Oct 29 10:19:59 2009  attempting to read 137627 relations
Thu Oct 29 10:20:01 2009  recovered 137627 relations
Thu Oct 29 10:20:01 2009  recovered 111021 polynomials
Thu Oct 29 10:20:01 2009  attempting to build 57823 cycles
Thu Oct 29 10:20:01 2009  found 57823 cycles in 5 passes
Thu Oct 29 10:20:01 2009  distribution of cycle lengths:
Thu Oct 29 10:20:01 2009     length 1 : 16380
Thu Oct 29 10:20:01 2009     length 2 : 11364
Thu Oct 29 10:20:01 2009     length 3 : 10278
Thu Oct 29 10:20:01 2009     length 4 : 7544
Thu Oct 29 10:20:01 2009     length 5 : 5180
Thu Oct 29 10:20:01 2009     length 6 : 3069
Thu Oct 29 10:20:01 2009     length 7 : 1919
Thu Oct 29 10:20:01 2009     length 9+: 2089
Thu Oct 29 10:20:01 2009  largest cycle: 18 relations
Thu Oct 29 10:20:01 2009  matrix is 57351 x 57823 (13.7 MB) with weight 3355406 (58.03/col)
Thu Oct 29 10:20:01 2009  sparse part has weight 3355406 (58.03/col)
Thu Oct 29 10:20:02 2009  filtering completed in 3 passes
Thu Oct 29 10:20:02 2009  matrix is 52428 x 52492 (12.5 MB) with weight 3061277 (58.32/col)
Thu Oct 29 10:20:02 2009  sparse part has weight 3061277 (58.32/col)
Thu Oct 29 10:20:02 2009  saving the first 48 matrix rows for later
Thu Oct 29 10:20:02 2009  matrix is 52380 x 52492 (8.7 MB) with weight 2464760 (46.95/col)
Thu Oct 29 10:20:02 2009  sparse part has weight 1969615 (37.52/col)
Thu Oct 29 10:20:02 2009  matrix includes 64 packed rows
Thu Oct 29 10:20:02 2009  using block size 20996 for processor cache size 1024 kB
Thu Oct 29 10:20:03 2009  commencing Lanczos iteration
Thu Oct 29 10:20:03 2009  memory use: 8.5 MB
Thu Oct 29 10:20:20 2009  lanczos halted after 830 iterations (dim = 52377)
Thu Oct 29 10:20:20 2009  recovered 16 nontrivial dependencies
Thu Oct 29 10:20:21 2009  prp40 factor: 2216843675469889748033783817831646405793
Thu Oct 29 10:20:21 2009  prp49 factor: 1301424962816481848646950520141595158687854696197
Thu Oct 29 10:20:21 2009  elapsed time 00:41:37

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 28, 2009 09:00:00 UTC 2009 年 10 月 28 日 (水) 18 時 0 分 0 秒 (日本時間)

62×10135-179

c136

name 名前Dmitry Domanov
date 日付October 28, 2009 23:44:47 UTC 2009 年 10 月 29 日 (木) 8 時 44 分 47 秒 (日本時間)
composite number 合成数
6888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<136>
prime factors 素因数
3006133944868273649904641611835927<34>
2291610758279353520262479427436718759759968530711012838648548023370471952701819314481826902624062304481<103>
factorization results 素因数分解の結果
Number: 136-2
N=6888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887
  ( 136 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=3006133944868273649904641611835927 (pp34)
 r2=2291610758279353520262479427436718759759968530711012838648548023370471952701819314481826902624062304481 (pp103)
Version: Msieve-1.40
Total time: 4.00 hours.
Scaled time: 7.87 units (timescale=1.969).
Factorization parameters were as follows:
n: 6888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887
m: 1000000000000000000000000000
deg: 5
c5: 62
c0: -17
skew: 0.77
type: snfs
lss: 1
rlim: 1330000
alim: 1330000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1330000/1330000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [665000, 1415001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 166629 x 166854
Total sieving time: 3.88 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,136.000,5,0,0,0,0,0,0,0,0,1330000,1330000,26,26,48,48,2.3,2.3,75000
total time: 4.00 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 KamadaOctober 28, 2009 09:00:00 UTC 2009 年 10 月 28 日 (水) 18 時 0 分 0 秒 (日本時間)

62×10136-179

c111

name 名前Sinkiti Sibata
date 日付October 29, 2009 04:05:36 UTC 2009 年 10 月 29 日 (木) 13 時 5 分 36 秒 (日本時間)
composite number 合成数
202579314960572784853853841483578465366236882142762231912399875722301397628634517434793217876549853255872927979<111>
prime factors 素因数
21445140596559027674445600227216279078028913<44>
9446397147569998958870814273587432081956274848493168972552660851483<67>
factorization results 素因数分解の結果
Number: 68887_136
N=202579314960572784853853841483578465366236882142762231912399875722301397628634517434793217876549853255872927979
  ( 111 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=21445140596559027674445600227216279078028913 (pp44)
 r2=9446397147569998958870814273587432081956274848493168972552660851483 (pp67)
Version: GGNFS-0.77.1-20060513-k8
Total time: 7.69 hours.
Scaled time: 15.12 units (timescale=1.967).
Factorization parameters were as follows:
name: 68887_136
n: 202579314960572784853853841483578465366236882142762231912399875722301397628634517434793217876549853255872927979
m: 2000000000000000000000000000
deg: 5
c5: 155
c0: -136
skew: 0.97
type: snfs
lss: 1
rlim: 1430000
alim: 1430000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1430000/1430000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [715000, 1390001)
Primes: RFBsize:109205, AFBsize:109105, largePrimes:3313683 encountered
Relations: rels:3256308, finalFF:265958
Max relations in full relation-set: 28
Initial matrix: 218377 x 265958 with sparse part having weight 21751660.
Pruned matrix : 202781 x 203936 with weight 13649675.
Total sieving time: 7.13 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.38 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,138,5,0,0,0,0,0,0,0,0,1430000,1430000,26,26,48,48,2.3,2.3,75000
total time: 7.69 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 28, 2009 09:00:00 UTC 2009 年 10 月 28 日 (水) 18 時 0 分 0 秒 (日本時間)

62×10138-179

c124

name 名前Sinkiti Sibata
date 日付October 31, 2009 14:29:27 UTC 2009 年 10 月 31 日 (土) 23 時 29 分 27 秒 (日本時間)
composite number 合成数
1645314218006229997445207528172151195583233097326614361854592382318318016040391840164344928471593225843499909801429196612411<124>
prime factors 素因数
971875626191891557665240752440339768261<39>
1692926721964495127439620152695166412870828555923484903620152946476576710419052305151<85>
factorization results 素因数分解の結果
Number: 68887_138
N=1645314218006229997445207528172151195583233097326614361854592382318318016040391840164344928471593225843499909801429196612411
  ( 124 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=971875626191891557665240752440339768261 (pp39)
 r2=1692926721964495127439620152695166412870828555923484903620152946476576710419052305151 (pp85)
Version: Msieve-1.40
Total time: 7.31 hours.
Scaled time: 15.09 units (timescale=2.064).
Factorization parameters were as follows:
name: 68887_138
n: 1645314218006229997445207528172151195583233097326614361854592382318318016040391840164344928471593225843499909801429196612411
m: 5000000000000000000000000000
deg: 5
c5: 496
c0: -425
skew: 0.97
type: snfs
lss: 1
rlim: 1580000
alim: 1580000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1580000/1580000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [790000, 1690001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 227733 x 227977
Total sieving time: 6.95 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.18 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,141.000,5,0,0,0,0,0,0,0,0,1580000,1580000,26,26,48,48,2.3,2.3,100000
total time: 7.31 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 KamadaOctober 28, 2009 09:00:00 UTC 2009 年 10 月 28 日 (水) 18 時 0 分 0 秒 (日本時間)

62×10139-179

c103

name 名前Sinkiti Sibata
date 日付October 29, 2009 10:45:56 UTC 2009 年 10 月 29 日 (木) 19 時 45 分 56 秒 (日本時間)
composite number 合成数
5096582473716721911320817165106487433415795470035694878499516371602090541767465977942766273924114548301<103>
prime factors 素因数
926007323380718041367848667604976818917<39>
5503825234459097628568763534609341243640504139868724244565262153<64>
factorization results 素因数分解の結果
Number: 68887_139
N=5096582473716721911320817165106487433415795470035694878499516371602090541767465977942766273924114548301
  ( 103 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=926007323380718041367848667604976818917 (pp39)
 r2=5503825234459097628568763534609341243640504139868724244565262153 (pp64)
Version: Msieve-1.40
Total time: 6.59 hours.
Scaled time: 13.64 units (timescale=2.071).
Factorization parameters were as follows:
name: 68887_139
n: 5096582473716721911320817165106487433415795470035694878499516371602090541767465977942766273924114548301
m: 10000000000000000000000000000
deg: 5
c5: 31
c0: -85
skew: 1.22
type: snfs
lss: 1
rlim: 1600000
alim: 1600000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1600000/1600000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [800000, 1600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 227013 x 227254
Total sieving time: 6.28 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.18 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,141.000,5,0,0,0,0,0,0,0,0,1600000,1600000,26,26,48,48,2.3,2.3,100000
total time: 6.59 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 KamadaOctober 28, 2009 09:00:00 UTC 2009 年 10 月 28 日 (水) 18 時 0 分 0 秒 (日本時間)

62×10140-179

c114

name 名前Sinkiti Sibata
date 日付October 31, 2009 23:10:41 UTC 2009 年 11 月 1 日 (日) 8 時 10 分 41 秒 (日本時間)
composite number 合成数
571885542093489440362382768505594648425665028980993844375232112444849040293722899734811215715075731527647038191833<114>
prime factors 素因数
189991277415596029678484840140503978996511068131431747<54>
3010062092706075056003895448693420219313246593121390246857139<61>
factorization results 素因数分解の結果
Number: 68887_140
N=571885542093489440362382768505594648425665028980993844375232112444849040293722899734811215715075731527647038191833
  ( 114 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=189991277415596029678484840140503978996511068131431747 (pp54)
 r2=3010062092706075056003895448693420219313246593121390246857139 (pp61)
Version: GGNFS-0.77.1-20060513-k8
Total time: 10.49 hours.
Scaled time: 19.74 units (timescale=1.882).
Factorization parameters were as follows:
name: 68887_140
n: 571885542093489440362382768505594648425665028980993844375232112444849040293722899734811215715075731527647038191833
m: 10000000000000000000000000000
deg: 5
c5: 62
c0: -17
skew: 0.77
type: snfs
lss: 1
rlim: 1620000
alim: 1620000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1620000/1620000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [810000, 1710001)
Primes: RFBsize:122540, AFBsize:122556, largePrimes:3860497 encountered
Relations: rels:4035041, finalFF:430705
Max relations in full relation-set: 28
Initial matrix: 245162 x 430705 with sparse part having weight 41572703.
Pruned matrix : 195424 x 196713 with weight 16613410.
Total sieving time: 9.92 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.38 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,141,5,0,0,0,0,0,0,0,0,1620000,1620000,26,26,48,48,2.3,2.3,100000
total time: 10.49 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 28, 2009 09:00:00 UTC 2009 年 10 月 28 日 (水) 18 時 0 分 0 秒 (日本時間)

62×10141-179

c116

name 名前Jo Yeong Uk
date 日付October 29, 2009 23:07:20 UTC 2009 年 10 月 30 日 (金) 8 時 7 分 20 秒 (日本時間)
composite number 合成数
15536945412520690380033798617839461767749986899777529309993270411105848832394342125721382926624823181351370052543863<116>
prime factors 素因数
12449586199568989558573448867<29>
1247988902077611754486563333046373100040151974373538545203846142963842189794646273724189<88>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 15536945412520690380033798617839461767749986899777529309993270411105848832394342125721382926624823181351370052543863 (116 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=5231726309
Step 1 took 3478ms
Step 2 took 1358ms
********** Factor found in step 2: 12449586199568989558573448867
Found probable prime factor of 29 digits: 12449586199568989558573448867
Probable prime cofactor 1247988902077611754486563333046373100040151974373538545203846142963842189794646273724189 has 88 digits
execution environment 実行環境
Core 2 Quad Q6600

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 28, 2009 09:00:00 UTC 2009 年 10 月 28 日 (水) 18 時 0 分 0 秒 (日本時間)

62×10142-179

c117

name 名前Sinkiti Sibata
date 日付November 1, 2009 16:21:55 UTC 2009 年 11 月 2 日 (月) 1 時 21 分 55 秒 (日本時間)
composite number 合成数
348313393141223706734704749064438289199394936931752715023824086413973108957877891594866729630631067309563042016582847<117>
prime factors 素因数
358166541419012241609637868825419291785725536283<48>
972490037068366127364333661129741553894152723185471642264624912216109<69>
factorization results 素因数分解の結果
Number: 68887_142
N=348313393141223706734704749064438289199394936931752715023824086413973108957877891594866729630631067309563042016582847
  ( 117 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=358166541419012241609637868825419291785725536283 (pp48)
 r2=972490037068366127364333661129741553894152723185471642264624912216109 (pp69)
Version: GGNFS-0.77.1-20060513-k8
Total time: 17.57 hours.
Scaled time: 34.21 units (timescale=1.947).
Factorization parameters were as follows:
name: 68887_142
n: 348313393141223706734704749064438289199394936931752715023824086413973108957877891594866729630631067309563042016582847
m: 20000000000000000000000000000
deg: 5
c5: 775
c0: -68
skew: 0.61
type: snfs
lss: 1
rlim: 1790000
alim: 1790000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1790000/1790000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [895000, 2395001)
Primes: RFBsize:134359, AFBsize:134558, largePrimes:4088931 encountered
Relations: rels:4299967, finalFF:392227
Max relations in full relation-set: 28
Initial matrix: 268984 x 392227 with sparse part having weight 42978490.
Pruned matrix : 232463 x 233871 with weight 23727956.
Total sieving time: 16.59 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.74 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,144,5,0,0,0,0,0,0,0,0,1790000,1790000,26,26,49,49,2.3,2.3,100000
total time: 17.57 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 28, 2009 09:00:00 UTC 2009 年 10 月 28 日 (水) 18 時 0 分 0 秒 (日本時間)

62×10146-179

c137

name 名前Sinkiti Sibata
date 日付October 30, 2009 23:24:16 UTC 2009 年 10 月 31 日 (土) 8 時 24 分 16 秒 (日本時間)
composite number 合成数
59970900631928507134678788225256830909677272320730651392923130286217054871587593448388419881377479427147482375478201781976233202452413227<137>
prime factors 素因数
1362518920977791402556581436857353<34>
44014728682733656162984696344578934532017463783335918028526772701777175353463305906690407115138338099859<104>
factorization results 素因数分解の結果
Number: 68887_146
N=59970900631928507134678788225256830909677272320730651392923130286217054871587593448388419881377479427147482375478201781976233202452413227
  ( 137 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=1362518920977791402556581436857353 (pp34)
 r2=44014728682733656162984696344578934532017463783335918028526772701777175353463305906690407115138338099859 (pp104)
Version: Msieve-1.40
Total time: 13.52 hours.
Scaled time: 28.20 units (timescale=2.085).
Factorization parameters were as follows:
name: 68887_146
n: 59970900631928507134678788225256830909677272320730651392923130286217054871587593448388419881377479427147482375478201781976233202452413227
m: 200000000000000000000000000000
deg: 5
c5: 155
c0: -136
skew: 0.97
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1050000, 2650001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 356196 x 356425
Total sieving time: 12.87 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.44 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,148.000,5,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
total time: 13.52 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 KamadaOctober 28, 2009 09:00:00 UTC 2009 年 10 月 28 日 (水) 18 時 0 分 0 秒 (日本時間)

62×10147-179

c127

name 名前Sinkiti Sibata
date 日付November 3, 2009 22:37:44 UTC 2009 年 11 月 4 日 (水) 7 時 37 分 44 秒 (日本時間)
composite number 合成数
5811437073296063859169550612223697098994871055649316965880296678454586156059632707044651861383469849288953521078203648958237283<127>
prime factors 素因数
7380239265137471589931683785983880322126223<43>
787432068869086227477331279235335612534521397355267720469263971274835068264710154221<84>
factorization results 素因数分解の結果
Number: 68887_147
N=5811437073296063859169550612223697098994871055649316965880296678454586156059632707044651861383469849288953521078203648958237283
  ( 127 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=7380239265137471589931683785983880322126223 (pp43)
 r2=787432068869086227477331279235335612534521397355267720469263971274835068264710154221 (pp84)
Version: Msieve-1.40
Total time: 16.55 hours.
Scaled time: 34.61 units (timescale=2.092).
Factorization parameters were as follows:
name: 68887_147
n: 5811437073296063859169550612223697098994871055649316965880296678454586156059632707044651861383469849288953521078203648958237283
m: 200000000000000000000000000000
deg: 5
c5: 775
c0: -68
skew: 0.61
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 : 403004 x 403252
Total sieving time: 15.72 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.54 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
snfs,149.000,5,0,0,0,0,0,0,0,0,2200000,2200000,26,26,49,49,2.3,2.3,100000
total time: 16.55 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 KamadaOctober 28, 2009 09:00:00 UTC 2009 年 10 月 28 日 (水) 18 時 0 分 0 秒 (日本時間)

62×10148-179

c103

name 名前Sinkiti Sibata
date 日付October 29, 2009 23:34:08 UTC 2009 年 10 月 30 日 (金) 8 時 34 分 8 秒 (日本時間)
composite number 合成数
5036457829654070447291851666637862041967460202109673946848020460954015526291427291729686600891861400241<103>
prime factors 素因数
77534847850900282536204141003399873814651531<44>
64957344590901786161929874304410491618727520507584961391411<59>
factorization results 素因数分解の結果
Number: 68887_148
N=5036457829654070447291851666637862041967460202109673946848020460954015526291427291729686600891861400241
  ( 103 digits)
Divisors found:
 r1=77534847850900282536204141003399873814651531 (pp44)
 r2=64957344590901786161929874304410491618727520507584961391411 (pp59)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 12.94 hours.
Scaled time: 6.08 units (timescale=0.470).
Factorization parameters were as follows:
name: 68887_148
n: 5036457829654070447291851666637862041967460202109673946848020460954015526291427291729686600891861400241
skew: 5250.84
# norm 1.51e+14
c5: 158400
c4: -2369595480
c3: -9089246452964
c2: 12488829579152730
c1: 148149926348795334669
c0: 243869513540266992110835
# alpha -5.95
Y1: 46917187199
Y0: -31657450076936910292
# Murphy_E 2.45e-09
# M 4472840802460327703162608013156768940227082287739066635374172230098893954410321033694631482111869343000
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 1850001)
Primes: RFBsize:169511, AFBsize:170119, largePrimes:4420988 encountered
Relations: rels:4544685, finalFF:508022
Max relations in full relation-set: 28
Initial matrix: 339708 x 508022 with sparse part having weight 36322270.
Pruned matrix : 211251 x 213013 with weight 16139750.
Polynomial selection time: 0.70 hours.
Total sieving time: 10.80 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 1.00 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
gnfs,102,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 12.94 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 28, 2009 09:00:00 UTC 2009 年 10 月 28 日 (水) 18 時 0 分 0 秒 (日本時間)

62×10149-179

c92

name 名前Sinkiti Sibata
date 日付October 29, 2009 03:45:07 UTC 2009 年 10 月 29 日 (木) 12 時 45 分 7 秒 (日本時間)
composite number 合成数
13032855585016127987715163764187861752979788193972047216203105388131327964051192003502321583<92>
prime factors 素因数
14990515629278420189522772956896539661364399<44>
869406757400744216491505254904358858761686953217<48>
factorization results 素因数分解の結果
Thu Oct 29 10:31:36 2009  Msieve v. 1.42
Thu Oct 29 10:31:36 2009  random seeds: 10de91b8 65f02773
Thu Oct 29 10:31:36 2009  factoring 13032855585016127987715163764187861752979788193972047216203105388131327964051192003502321583 (92 digits)
Thu Oct 29 10:31:37 2009  searching for 15-digit factors
Thu Oct 29 10:31:37 2009  commencing quadratic sieve (92-digit input)
Thu Oct 29 10:31:37 2009  using multiplier of 3
Thu Oct 29 10:31:37 2009  using 32kb Intel Core sieve core
Thu Oct 29 10:31:37 2009  sieve interval: 36 blocks of size 32768
Thu Oct 29 10:31:37 2009  processing polynomials in batches of 6
Thu Oct 29 10:31:37 2009  using a sieve bound of 1748623 (65882 primes)
Thu Oct 29 10:31:37 2009  using large prime bound of 176610923 (27 bits)
Thu Oct 29 10:31:37 2009  using double large prime bound of 699248562996980 (42-50 bits)
Thu Oct 29 10:31:37 2009  using trial factoring cutoff of 50 bits
Thu Oct 29 10:31:37 2009  polynomial 'A' values have 12 factors
Thu Oct 29 12:23:28 2009  66409 relations (16846 full + 49563 combined from 801134 partial), need 65978
Thu Oct 29 12:23:29 2009  begin with 817980 relations
Thu Oct 29 12:23:30 2009  reduce to 167485 relations in 11 passes
Thu Oct 29 12:23:30 2009  attempting to read 167485 relations
Thu Oct 29 12:23:32 2009  recovered 167485 relations
Thu Oct 29 12:23:32 2009  recovered 148683 polynomials
Thu Oct 29 12:23:32 2009  attempting to build 66409 cycles
Thu Oct 29 12:23:32 2009  found 66409 cycles in 6 passes
Thu Oct 29 12:23:32 2009  distribution of cycle lengths:
Thu Oct 29 12:23:32 2009     length 1 : 16846
Thu Oct 29 12:23:32 2009     length 2 : 12029
Thu Oct 29 12:23:32 2009     length 3 : 11566
Thu Oct 29 12:23:32 2009     length 4 : 9050
Thu Oct 29 12:23:32 2009     length 5 : 6594
Thu Oct 29 12:23:32 2009     length 6 : 4335
Thu Oct 29 12:23:32 2009     length 7 : 2615
Thu Oct 29 12:23:33 2009     length 9+: 3374
Thu Oct 29 12:23:33 2009  largest cycle: 19 relations
Thu Oct 29 12:23:33 2009  matrix is 65882 x 66409 (16.6 MB) with weight 4091728 (61.61/col)
Thu Oct 29 12:23:33 2009  sparse part has weight 4091728 (61.61/col)
Thu Oct 29 12:23:34 2009  filtering completed in 3 passes
Thu Oct 29 12:23:34 2009  matrix is 62231 x 62295 (15.6 MB) with weight 3839753 (61.64/col)
Thu Oct 29 12:23:34 2009  sparse part has weight 3839753 (61.64/col)
Thu Oct 29 12:23:34 2009  saving the first 48 matrix rows for later
Thu Oct 29 12:23:34 2009  matrix is 62183 x 62295 (9.7 MB) with weight 3001449 (48.18/col)
Thu Oct 29 12:23:34 2009  sparse part has weight 2164215 (34.74/col)
Thu Oct 29 12:23:34 2009  matrix includes 64 packed rows
Thu Oct 29 12:23:34 2009  using block size 24918 for processor cache size 1024 kB
Thu Oct 29 12:23:35 2009  commencing Lanczos iteration
Thu Oct 29 12:23:35 2009  memory use: 10.0 MB
Thu Oct 29 12:23:59 2009  lanczos halted after 984 iterations (dim = 62181)
Thu Oct 29 12:23:59 2009  recovered 16 nontrivial dependencies
Thu Oct 29 12:24:00 2009  prp44 factor: 14990515629278420189522772956896539661364399
Thu Oct 29 12:24:00 2009  prp48 factor: 869406757400744216491505254904358858761686953217
Thu Oct 29 12:24:00 2009  elapsed time 01:52:24

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 28, 2009 09:00:00 UTC 2009 年 10 月 28 日 (水) 18 時 0 分 0 秒 (日本時間)

62×10150-179

c125

name 名前Sinkiti Sibata
date 日付November 7, 2009 03:36:47 UTC 2009 年 11 月 7 日 (土) 12 時 36 分 47 秒 (日本時間)
composite number 合成数
69591318799314634387182087997398280009882822525775350033620638088104875270633081216732421635499310384553331373497069641479709<125>
prime factors 素因数
7152115416516333263116824921083071837423457619295848531485227<61>
9730172787565460411900025374086137070224048862984493336589028567<64>
factorization results 素因数分解の結果
Number: 68887_150
N=69591318799314634387182087997398280009882822525775350033620638088104875270633081216732421635499310384553331373497069641479709
  ( 125 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=7152115416516333263116824921083071837423457619295848531485227 (pp61)
 r2=9730172787565460411900025374086137070224048862984493336589028567 (pp64)
Version: Msieve-1.40
Total time: 17.64 hours.
Scaled time: 36.65 units (timescale=2.078).
Factorization parameters were as follows:
name: 68887_150
n: 69591318799314634387182087997398280009882822525775350033620638088104875270633081216732421635499310384553331373497069641479709
m: 1000000000000000000000000000000
deg: 5
c5: 62
c0: -17
skew: 0.77
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 : 407535 x 407783
Total sieving time: 16.87 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.57 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,151.000,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,49,49,2.4,2.4,100000
total time: 17.64 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaOctober 28, 2009 09:00:00 UTC 2009 年 10 月 28 日 (水) 18 時 0 分 0 秒 (日本時間)
786Jo Yeong UkNovember 5, 2009 15:52:35 UTC 2009 年 11 月 6 日 (金) 0 時 52 分 35 秒 (日本時間)

62×10151-179

c141

name 名前Dmitry Domanov
date 日付December 28, 2009 05:44:55 UTC 2009 年 12 月 28 日 (月) 14 時 44 分 55 秒 (日本時間)
composite number 合成数
389175110614243032028862323712115495734155283243430918051727551544381092812150394337608500362929740923480081802411822113793502389515099304999<141>
prime factors 素因数
4047959977621324739383324497315953<34>
5694911562886652100064086925143047<34>
16881920987852304825734350595337389834035012790200504170855210856974648689<74>
factorization results 素因数分解の結果
N=389175110614243032028862323712115495734155283243430918051727551544381092812150394337608500362929740923480081802411822113793502389515099304999
  ( 141 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=4047959977621324739383324497315953 (pp34)
 r2=5694911562886652100064086925143047 (pp34)
 r3=16881920987852304825734350595337389834035012790200504170855210856974648689 (pp74)
Version: Msieve-1.40
Total time: 15.21 hours.
Scaled time: 28.55 units (timescale=1.877).
Factorization parameters were as follows:
n: 389175110614243032028862323712115495734155283243430918051727551544381092812150394337608500362929740923480081802411822113793502389515099304999
m: 1000000000000000000000000000000
deg: 5
c5: 620
c0: -17
skew: 0.49
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1250000, 2150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 416497 x 416722
Total sieving time: 14.83 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.23 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,152.000,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 15.21 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 27, 2009 14:00:00 UTC 2009 年 12 月 27 日 (日) 23 時 0 分 0 秒 (日本時間)

62×10152-179

c153

name 名前Dmitry Domanov
date 日付December 28, 2009 05:44:02 UTC 2009 年 12 月 28 日 (月) 14 時 44 分 2 秒 (日本時間)
composite number 合成数
229629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629<153>
prime factors 素因数
4485156049804041541730713786461635746509126915980905370879009<61>
51197690131575745297593795405577777230216670501663623773806784742397376713905469274611281181<92>
factorization results 素因数分解の結果
N=229629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629
  ( 153 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=4485156049804041541730713786461635746509126915980905370879009 (pp61)
 r2=51197690131575745297593795405577777230216670501663623773806784742397376713905469274611281181 (pp92)
Version: Msieve-1.40
Total time: 19.01 hours.
Scaled time: 36.33 units (timescale=1.911).
Factorization parameters were as follows:
n: 229629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629
m: 1000000000000000000000000000000
deg: 5
c5: 6200
c0: -17
skew: 0.31
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1300000, 2400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 466987 x 467218
Total sieving time: 18.60 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.29 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,153.000,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 19.01 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 27, 2009 14:00:00 UTC 2009 年 12 月 27 日 (日) 23 時 0 分 0 秒 (日本時間)

62×10154-179

c135

name 名前Sinkiti Sibata
date 日付December 29, 2009 04:11:27 UTC 2009 年 12 月 29 日 (火) 13 時 11 分 27 秒 (日本時間)
composite number 合成数
432032782122397476387449597123252619509330895847206593191314267585182380173065287803490774272116953094288936974162793493596524064266811<135>
prime factors 素因数
1026829371204468875591884387823995295113488792146870822364262703<64>
420744472487794008753933296277739545654110794197878719322935760915475637<72>
factorization results 素因数分解の結果
Number: 68887_154
N=432032782122397476387449597123252619509330895847206593191314267585182380173065287803490774272116953094288936974162793493596524064266811
  ( 135 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=1026829371204468875591884387823995295113488792146870822364262703 (pp64)
 r2=420744472487794008753933296277739545654110794197878719322935760915475637 (pp72)
Version: Msieve-1.40
Total time: 17.71 hours.
Scaled time: 59.03 units (timescale=3.333).
Factorization parameters were as follows:
name: 68887_154
n: 432032782122397476387449597123252619509330895847206593191314267585182380173065287803490774272116953094288936974162793493596524064266811
m: 2000000000000000000000000000000
deg: 5
c5: 19375
c0: -17
skew: 0.24
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, 2400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 462509 x 462757
Total sieving time: 17.15 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.39 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,155.000,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 17.71 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 27, 2009 14:00:00 UTC 2009 年 12 月 27 日 (日) 23 時 0 分 0 秒 (日本時間)

62×10157-179

c119

name 名前juno1369
date 日付January 14, 2010 02:01:54 UTC 2010 年 1 月 14 日 (木) 11 時 1 分 54 秒 (日本時間)
composite number 合成数
20069294125229261496847430787244728260919083864648764159412851890391404205622965296821308395196824589045497636780994727<119>
prime factors 素因数
79199756649442580167690754502972836791<38>
253400956950674067705962804410100579045892867250734425651233452181268592909886097<81>
factorization results 素因数分解の結果
Number: 68887_157
N=20069294125229261496847430787244728260919083864648764159412851890391404205622965296821308395196824589045497636780994727
  ( 119 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=79199756649442580167690754502972836791 (pp38)
 r2=253400956950674067705962804410100579045892867250734425651233452181268592909886097 (pp81)
Version: Msieve v. 1.43
Total time: 40.77 hours.
Scaled time: 88.31 units (timescale=2.166).
Factorization parameters were as follows:
n: 20069294125229261496847430787244728260919083864648764159412851890391404205622965296821308395196824589045497636780994727
m: 10000000000000000000000000000000
deg: 5
c5: 6200
c0: -17
skew: 0.31
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1550000, 3150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 577242 x 577468
Total sieving time: 39.75 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.89 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,158.000,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000
total time: 40.77 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 KamadaDecember 27, 2009 14:00:00 UTC 2009 年 12 月 27 日 (日) 23 時 0 分 0 秒 (日本時間)

62×10158-179

c113

name 名前Jo Yeong Uk
date 日付January 17, 2010 14:24:29 UTC 2010 年 1 月 17 日 (日) 23 時 24 分 29 秒 (日本時間)
composite number 合成数
64059548192973540490343975264749665329624539693139343530702163053360424058818500099568866376010787227795097348807<113>
prime factors 素因数
86422452619972361118106266406802123<35>
741237331861712066525872768467489173814629660231395093734246312949293617953909<78>
factorization results 素因数分解の結果
Number: 68887_158
N=64059548192973540490343975264749665329624539693139343530702163053360424058818500099568866376010787227795097348807
  ( 113 digits)
Divisors found:
 r1=86422452619972361118106266406802123
 r2=741237331861712066525872768467489173814629660231395093734246312949293617953909
Version: 
Total time: 12.50 hours.
Scaled time: 29.81 units (timescale=2.384).
Factorization parameters were as follows:
name: 68887_158
n: 64059548192973540490343975264749665329624539693139343530702163053360424058818500099568866376010787227795097348807
skew: 96698.91
# norm 2.66e+15
c5: 3360
c4: -410598982
c3: -27396987912697
c2: 7510344668884672991
c1: 68307761792285524254181
c0: -14093997858085764221188065445
# alpha -6.12
Y1: 429911783209
Y0: -7178761986561116694228
# Murphy_E 6.97e-10
# M 4888671867306904462429390173039306891956056363354859052346273817114291305425860976291403800784023477594558174256
type: gnfs
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.6
alambda: 2.6
qintsize: 60000
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved algebraic special-q in [1200000, 2100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 8482424
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 414829 x 415077
Polynomial selection time: 0.99 hours.
Total sieving time: 10.34 hours.
Total relation processing time: 0.62 hours.
Matrix solve time: 0.39 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
gnfs,112,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2400000,2400000,27,27,51,51,2.6,2.6,60000
total time: 12.50 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: 8046640k/8912896k available (2550k kernel code, 339524k reserved, 1291k data, 208k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5345.56 BogoMIPS (lpj=2672784)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672377)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672342)
Calibrating delay using timer specific routine.. 5344.70 BogoMIPS (lpj=2672353)
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
3025e40--
351e6118 / 904Makoto KamadaDecember 27, 2009 14:00:00 UTC 2009 年 12 月 27 日 (日) 23 時 0 分 0 秒 (日本時間)

62×10161-179

c115

name 名前Sinkiti Sibata
date 日付December 30, 2009 09:10:25 UTC 2009 年 12 月 30 日 (水) 18 時 10 分 25 秒 (日本時間)
composite number 合成数
2619306710196846804268344171162568326731142294320488108348470744160157502000319624229235225529610804124804327088397<115>
prime factors 素因数
142082690790096604393018939616264882701<39>
18435086607885502967932198250203819276373239610147928301198521230687898186497<77>
factorization results 素因数分解の結果
Number: 68887_161
N=2619306710196846804268344171162568326731142294320488108348470744160157502000319624229235225529610804124804327088397
  ( 115 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=142082690790096604393018939616264882701 (pp39)
 r2=18435086607885502967932198250203819276373239610147928301198521230687898186497 (pp77)
Version: Msieve v. 1.42
Total time: 1.80 hours.
Scaled time: 1.43 units (timescale=0.791).
Factorization parameters were as follows:
name: 68887_161
n: 2619306710196846804268344171162568326731142294320488108348470744160157502000319624229235225529610804124804327088397
m: 100000000000000000000000000000000
deg: 5
c5: 620
c0: -17
skew: 0.49
type: snfs
lss: 1
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1800000, 3500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 674966 x 675193
Total sieving time: 0.00 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.31 hours.
Time per square root: 0.40 hours.
Prototype def-par.txt line would be:
snfs,162.000,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000
total time: 1.80 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.30 BogoMIPS (lpj=1860651)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860572)
Total of 2 processors activated (7442.44 BogoMIPS).

Total time: 27 hours 45 min.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 27, 2009 14:00:00 UTC 2009 年 12 月 27 日 (日) 23 時 0 分 0 秒 (日本時間)

62×10162-179

c156

name 名前Dmitry Domanov
date 日付December 28, 2009 13:28:18 UTC 2009 年 12 月 28 日 (月) 22 時 28 分 18 秒 (日本時間)
composite number 合成数
587749486266659723638864381157286132726783447370479423179620632164577364180360258014061413507747803786356133207126454937118910224479635281346531039491181857<156>
prime factors 素因数
170714703003280470133634396131864675713566538877783519703<57>
3442875604307881278656554283553885093886898056526724236175021919189015996241344174711613430603352519<100>
factorization results 素因数分解の結果
N=587749486266659723638864381157286132726783447370479423179620632164577364180360258014061413507747803786356133207126454937118910224479635281346531039491181857
  ( 156 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=170714703003280470133634396131864675713566538877783519703 (pp57)
 r2=3442875604307881278656554283553885093886898056526724236175021919189015996241344174711613430603352519 (pp100)
Version: Msieve-1.40
Total time: 36.58 hours.
Scaled time: 69.46 units (timescale=1.899).
Factorization parameters were as follows:
n: 587749486266659723638864381157286132726783447370479423179620632164577364180360258014061413507747803786356133207126454937118910224479635281346531039491181857
m: 100000000000000000000000000000000
deg: 5
c5: 6200
c0: -17
skew: 0.31
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1900000, 4000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 796417 x 796642
Total sieving time: 35.36 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.80 hours.
Time per square root: 0.33 hours.
Prototype def-par.txt line would be:
snfs,163.000,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 36.58 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 KamadaDecember 27, 2009 14:00:00 UTC 2009 年 12 月 27 日 (日) 23 時 0 分 0 秒 (日本時間)

62×10163-179

c121

name 名前Sinkiti Sibata
date 日付December 30, 2009 22:37:48 UTC 2009 年 12 月 31 日 (木) 7 時 37 分 48 秒 (日本時間)
composite number 合成数
2180105983548667120534087611750814155369838603577007290910366017521978118610222138237400095308942214086110496654992820857<121>
prime factors 素因数
79065716072455711928517866988968112693114807000583195649<56>
27573341415776479378317601325239672547621360849281548378779049593<65>
factorization results 素因数分解の結果
Number: 68887_163
N=2180105983548667120534087611750814155369838603577007290910366017521978118610222138237400095308942214086110496654992820857
  ( 121 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=79065716072455711928517866988968112693114807000583195649 (pp56)
 r2=27573341415776479378317601325239672547621360849281548378779049593 (pp65)
Version: Msieve-1.40
Total time: 37.26 hours.
Scaled time: 125.03 units (timescale=3.356).
Factorization parameters were as follows:
name: 68887_163
n: 2180105983548667120534087611750814155369838603577007290910366017521978118610222138237400095308942214086110496654992820857
m: 100000000000000000000000000000000
deg: 5
c5: 62000
c0: -17
skew: 0.19
type: snfs
lss: 1
rlim: 3900000
alim: 3900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3900000/3900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1950000, 3950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 757943 x 758191
Total sieving time: 35.75 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.09 hours.
Time per square root: 0.33 hours.
Prototype def-par.txt line would be:
snfs,164.000,5,0,0,0,0,0,0,0,0,3900000,3900000,27,27,51,51,2.4,2.4,100000
total time: 37.26 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 27, 2009 14:00:00 UTC 2009 年 12 月 27 日 (日) 23 時 0 分 0 秒 (日本時間)

62×10164-179

c115

name 名前Sinkiti Sibata
date 日付January 19, 2010 10:55:34 UTC 2010 年 1 月 19 日 (火) 19 時 55 分 34 秒 (日本時間)
composite number 合成数
2147470715208207045591489086073283742407367169093563772240207668612344027957597618825125442980779147439735630167851<115>
prime factors 素因数
46132050774445157041457703051919851278421741943904993501<56>
46550514862387131129645799428300452457298173087778645949351<59>
factorization results 素因数分解の結果
Number: 68887_164
N=2147470715208207045591489086073283742407367169093563772240207668612344027957597618825125442980779147439735630167851
  ( 115 digits)
Divisors found:
 r1=46132050774445157041457703051919851278421741943904993501 (pp56)
 r2=46550514862387131129645799428300452457298173087778645949351 (pp59)
Version: Msieve v. 1.42
Total time: 4.05 hours.
Scaled time: 2.76 units (timescale=0.682).
Factorization parameters were as follows:
name: 68887_164
n: 2147470715208207045591489086073283742407367169093563772240207668612344027957597618825125442980779147439735630167851
skew: 44079.79
# norm 1.11e+16
c5: 40080
c4: -4940269732
c3: -264624679784066
c2: 1335992406838640679
c1: -76779144408350287621096
c0: 925026188353499540054921020
# alpha -6.72
Y1: 2600358660559
Y0: -8826795432357632211303
# Murphy_E 6.06e-10
# M 898666866873151474780194487750327731317448694061635315835511728928208218568978512879259602587951002790737840005427
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 2850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 448341 x 448570
Polynomial selection time: 2.86 hours.
Total sieving time: 0.00 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.66 hours.
Time per square root: 0.45 hours.
Prototype def-par.txt line would be:
gnfs,114,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 4.05 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.24 BogoMIPS (lpj=1860624)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860570)
Total of 2 processors activated (7442.38 BogoMIPS).

Total time: 25 hours 10 min.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 27, 2009 14:00:00 UTC 2009 年 12 月 27 日 (日) 23 時 0 分 0 秒 (日本時間)

62×10166-179

c125

name 名前Sinkiti Sibata
date 日付January 3, 2010 09:12:02 UTC 2010 年 1 月 3 日 (日) 18 時 12 分 2 秒 (日本時間)
composite number 合成数
87428826475155702545440076667342184570092149237198646205167470494772790445085905222671511463434899844506134938699007253656543<125>
prime factors 素因数
4137686402001843140258462188230639643495955766628206257<55>
21129882253245918468424943089958849211276316923889531638114901228480399<71>
factorization results 素因数分解の結果
Number: 68887_166
N=87428826475155702545440076667342184570092149237198646205167470494772790445085905222671511463434899844506134938699007253656543
  ( 125 digits)
SNFS difficulty: 167 digits.
Divisors found:
 r1=4137686402001843140258462188230639643495955766628206257 (pp55)
 r2=21129882253245918468424943089958849211276316923889531638114901228480399 (pp71)
Version: Msieve-1.40
Total time: 45.59 hours.
Scaled time: 154.62 units (timescale=3.392).
Factorization parameters were as follows:
name: 68887_166
n: 87428826475155702545440076667342184570092149237198646205167470494772790445085905222671511463434899844506134938699007253656543
m: 1000000000000000000000000000000000
deg: 5
c5: 620
c0: -17
skew: 0.49
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2200000, 4600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 849054 x 849302
Total sieving time: 44.06 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.36 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,167.000,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,51,51,2.4,2.4,100000
total time: 45.59 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 27, 2009 14:00:00 UTC 2009 年 12 月 27 日 (日) 23 時 0 分 0 秒 (日本時間)

62×10167-179

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 27, 2009 14:00:00 UTC 2009 年 12 月 27 日 (日) 23 時 0 分 0 秒 (日本時間)

62×10168-179

c125

name 名前Sinkiti Sibata
date 日付January 21, 2010 23:07:22 UTC 2010 年 1 月 22 日 (金) 8 時 7 分 22 秒 (日本時間)
composite number 合成数
25227395792039282019319724852145408791482386972203890362145061830051169894214449900029303237702359507851104262402088580374271<125>
prime factors 素因数
61793819761427950143249447775857096275756762572862519<53>
408251114584542390841950774836334355024555272957463389224129714564716409<72>
factorization results 素因数分解の結果
Number: 68887_168
N=25227395792039282019319724852145408791482386972203890362145061830051169894214449900029303237702359507851104262402088580374271
  ( 125 digits)
SNFS difficulty: 169 digits.
Divisors found:
 r1=61793819761427950143249447775857096275756762572862519 (pp53)
 r2=408251114584542390841950774836334355024555272957463389224129714564716409 (pp72)
Version: Msieve-1.40
Total time: 58.06 hours.
Scaled time: 189.11 units (timescale=3.257).
Factorization parameters were as follows:
name: 68887_168
n: 25227395792039282019319724852145408791482386972203890362145061830051169894214449900029303237702359507851104262402088580374271
m: 1000000000000000000000000000000000
deg: 5
c5: 62000
c0: -17
skew: 0.19
type: snfs
lss: 1
rlim: 4700000
alim: 4700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4700000/4700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2350000, 5250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 882273 x 882521
Total sieving time: 56.35 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.51 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,169.000,5,0,0,0,0,0,0,0,0,4700000,4700000,27,27,52,52,2.4,2.4,100000
total time: 58.06 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 27, 2009 14:00:00 UTC 2009 年 12 月 27 日 (日) 23 時 0 分 0 秒 (日本時間)

62×10170-179

c137

name 名前Sinkiti Sibata
date 日付February 2, 2010 23:05:40 UTC 2010 年 2 月 3 日 (水) 8 時 5 分 40 秒 (日本時間)
composite number 合成数
73854453481227628734175925951564342454560710696049165472413358814652978463725972518875170569245092800885577502459878938567863759330775409<137>
prime factors 素因数
308462042770859007351004189313659133921073269762721483424130887<63>
239428011361807653350709276370554219787335776968455289822613828100858121607<75>
factorization results 素因数分解の結果
Number: 68887_170
N=73854453481227628734175925951564342454560710696049165472413358814652978463725972518875170569245092800885577502459878938567863759330775409
  ( 137 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=308462042770859007351004189313659133921073269762721483424130887 (pp63)
 r2=239428011361807653350709276370554219787335776968455289822613828100858121607 (pp75)
Version: Msieve-1.40
Total time: 69.69 hours.
Scaled time: 226.28 units (timescale=3.247).
Factorization parameters were as follows:
name: 68887_170
n: 73854453481227628734175925951564342454560710696049165472413358814652978463725972518875170569245092800885577502459878938567863759330775409
m: 10000000000000000000000000000000000
deg: 5
c5: 62
c0: -17
skew: 0.77
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, 5550001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 990198 x 990445
Total sieving time: 66.92 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.94 hours.
Time per square root: 0.72 hours.
Prototype def-par.txt line would be:
snfs,171.000,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 69.69 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 27, 2009 14:00:00 UTC 2009 年 12 月 27 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiJanuary 19, 2010 13:12:28 UTC 2010 年 1 月 19 日 (火) 22 時 12 分 28 秒 (日本時間)

62×10172-179

c120

name 名前Jeff Gilchrist
date 日付January 4, 2010 00:25:21 UTC 2010 年 1 月 4 日 (月) 9 時 25 分 21 秒 (日本時間)
composite number 合成数
229088829395880432474224213351850293942076399174267078931611502279856285967174116523027579783309807130985498629487548813<120>
prime factors 素因数
570192696140059052183037878603329731172433<42>
401774401788563581614716017843673000616233588224769894702437614090574516148861<78>
factorization results 素因数分解の結果
Number: 68887_172
N = 229088829395880432474224213351850293942076399174267078931611502279856285967174116523027579783309807130985498629487548813 (120 digits)
Divisors found:
r1=570192696140059052183037878603329731172433 (pp42)
r2=401774401788563581614716017843673000616233588224769894702437614090574516148861 (pp78)
Version: Msieve v. 1.43
Total time: 9.85 hours.
Factorization parameters were as follows:
# Murphy_E = 3.635313e-10, selected by Markus Tervooren
n: 229088829395880432474224213351850293942076399174267078931611502279856285967174116523027579783309807130985498629487548813
Y0: -83797817646386842150687
Y1: 9146144260879
c0: 847624132642719545521502640
c1: -353781640793617398306044
c2: -98516842515002150528
c3: 1639850813458369
c4: 20057994958
c5: 55440
skew: 55026.57
type: gnfs
# selected mechanically
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [2500000, 4400001)
Relations: 1134310 relations
Max relations in full relation-set: 0
Pruned matrix : 661108 x 661334
Polynomial selection time: 0.00 hours.
Total sieving time: 9.39 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.36 hours.
time per square root: 0.05 hours.
Prototype def-par.txt line would be: gnfs,119,5,63,2000,2.6e-05,0.28,250,20,50000,3600,5000000,5000000,27,27,51,51,2.5,2.5,100000
total time: 9.85 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
factmsieve.py + ggnfs + msieve 1.43
execution environment 実行環境
Core2 Quad @ 3.4GHz Windows7 64bit

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 27, 2009 14:00:00 UTC 2009 年 12 月 27 日 (日) 23 時 0 分 0 秒 (日本時間)
403e6280 / 2318Lionel DebrouxJanuary 1, 2010 15:05:24 UTC 2010 年 1 月 2 日 (土) 0 時 5 分 24 秒 (日本時間)

62×10173-179

c164

name 名前Wataru Sakai
date 日付March 1, 2010 00:52:26 UTC 2010 年 3 月 1 日 (月) 9 時 52 分 26 秒 (日本時間)
composite number 合成数
12236547099284011895876346588326023402272750096789755844021172501700168841907155920962826888489580195924288474553896476755590939096981709332739294238992815390965447<164>
prime factors 素因数
1779933962204838577794778107350198677<37>
6874719713829362893496953203079061449067418021995660990851832258816780206217914741332761472850166522708379274826914253812140011<127>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3339786019
Step 1 took 52047ms
Step 2 took 17838ms
********** Factor found in step 2: 1779933962204838577794778107350198677
Found probable prime factor of 37 digits: 1779933962204838577794778107350198677
Probable prime cofactor 6874719713829362893496953203079061449067418021995660990851832258816780206217914741332761472850166522708379274826914253812140011 has 127 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 KamadaDecember 27, 2009 14:00:00 UTC 2009 年 12 月 27 日 (日) 23 時 0 分 0 秒 (日本時間)

62×10179-179

c180

name 名前Dmitry Domanov
date 日付December 27, 2009 20:37:53 UTC 2009 年 12 月 28 日 (月) 5 時 37 分 53 秒 (日本時間)
composite number 合成数
229629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629<180>
prime factors 素因数
1008118330161754021426620851493007399<37>
227780432871194027997107778315028020325383655035481013057408289930584300023167344606712403275876360896046576051985298405996948431336738634075771<144>
factorization results 素因数分解の結果
Factor=1008118330161754021426620851493007399  Method=ECM  B1=11000000  Sigma=2217678372
software ソフトウェア
ECMNET

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 27, 2009 14:00:00 UTC 2009 年 12 月 27 日 (日) 23 時 0 分 0 秒 (日本時間)

62×10181-179

c157

name 名前Dmitry Domanov
date 日付February 16, 2012 19:07:50 UTC 2012 年 2 月 17 日 (金) 4 時 7 分 50 秒 (日本時間)
composite number 合成数
7650223291695780278193152322250377390646361071073654611759056494892496614975738856530480550789530052725624886426238579434597195007363936016323458856383004837<157>
prime factors 素因数
5841418631691258731070087048561383<34>
36141599747090451792860538833691907<35>
67221546322112203502698889221737778060480727<44>
539063478429069813389087594663649789821898551<45>
factorization results 素因数分解の結果
4-way split! :=)

N=7650223291695780278193152322250377390646361071073654611759056494892496614975738856530480550789530052725624886426238579434597195007363936016323458856383004837
  ( 157 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=5841418631691258731070087048561383 (pp34)
 r2=36141599747090451792860538833691907 (pp35)
 r3=67221546322112203502698889221737778060480727 (pp44)
 r4=539063478429069813389087594663649789821898551 (pp45)
Version: Msieve-1.40
Total time: 206.05 hours.
Scaled time: 344.31 units (timescale=1.671).
Factorization parameters were as follows:
n: 7650223291695780278193152322250377390646361071073654611759056494892496614975738856530480550789530052725624886426238579434597195007363936016323458856383004837
m: 1000000000000000000000000000000000000
deg: 5
c5: 620
c0: -17
skew: 0.49
type: snfs
lss: 1
rlim: 7800000
alim: 7800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 240000Factor base limits: 7800000/7800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3900000, 7020001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1406207 x 1406438
Total sieving time: 202.84 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 2.66 hours.
Time per square root: 0.36 hours.
Prototype def-par.txt line would be:
snfs,182.000,5,0,0,0,0,0,0,0,0,7800000,7800000,28,28,53,53,2.5,2.5,100000
total time: 206.05 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
351e6418118Makoto KamadaDecember 27, 2009 14:00:00 UTC 2009 年 12 月 27 日 (日) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 22, 2010 05:51:14 UTC 2010 年 10 月 22 日 (金) 14 時 51 分 14 秒 (日本時間)
403e6110 / 2126Ignacio SantosOctober 22, 2010 05:51:14 UTC 2010 年 10 月 22 日 (金) 14 時 51 分 14 秒 (日本時間)
4511e632 / 4437Ignacio SantosOctober 22, 2010 05:51:14 UTC 2010 年 10 月 22 日 (金) 14 時 51 分 14 秒 (日本時間)

62×10184-179

c163

name 名前Dmitry Domanov
date 日付May 19, 2012 07:35:57 UTC 2012 年 5 月 19 日 (土) 16 時 35 分 57 秒 (日本時間)
composite number 合成数
1910331172147010117590308174787336381369980078642470601288008324320386319693771782966609759689143592698406145685360231631360167772557963838439702616012264069849619<163>
prime factors 素因数
46045804189502284511204263477700595444985991775279530294293<59>
41487627499891410896224637503367189546245129776832171594384792571795464481325683786142115099618249058183<104>
factorization results 素因数分解の結果
N=1910331172147010117590308174787336381369980078642470601288008324320386319693771782966609759689143592698406145685360231631360167772557963838439702616012264069849619
  ( 163 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=46045804189502284511204263477700595444985991775279530294293 (pp59)
 r2=41487627499891410896224637503367189546245129776832171594384792571795464481325683786142115099618249058183 (pp104)
Version: Msieve-1.40
Total time: 237.08 hours.
Scaled time: 465.38 units (timescale=1.963).
Factorization parameters were as follows:
n: 1910331172147010117590308174787336381369980078642470601288008324320386319693771782966609759689143592698406145685360231631360167772557963838439702616012264069849619
m: 2000000000000000000000000000000000000
deg: 5
c5: 19375
c0: -17
skew: 0.24
type: snfs
lss: 1
rlim: 8700000
alim: 8700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 300000
Factor base limits: 8700000/8700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4350000, 7950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1508753 x 1508977
Total sieving time: 234.01 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 2.63 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,185.000,5,0,0,0,0,0,0,0,0,8700000,8700000,28,28,54,54,2.5,2.5,100000
total time: 237.08 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
351e6418118Makoto KamadaDecember 27, 2009 14:00:00 UTC 2009 年 12 月 27 日 (日) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 22, 2010 07:05:01 UTC 2010 年 10 月 22 日 (金) 16 時 5 分 1 秒 (日本時間)
403e6110Ignacio SantosOctober 22, 2010 07:05:01 UTC 2010 年 10 月 22 日 (金) 16 時 5 分 1 秒 (日本時間)
4511e6632 / 443732Ignacio SantosOctober 22, 2010 07:05:01 UTC 2010 年 10 月 22 日 (金) 16 時 5 分 1 秒 (日本時間)
400Dmitry DomanovFebruary 17, 2012 21:13:55 UTC 2012 年 2 月 18 日 (土) 6 時 13 分 55 秒 (日本時間)
200Dmitry DomanovFebruary 20, 2012 07:14:07 UTC 2012 年 2 月 20 日 (月) 16 時 14 分 7 秒 (日本時間)

62×10186-179

c164

name 名前Dmitry Domanov
date 日付May 19, 2012 07:35:29 UTC 2012 年 5 月 19 日 (土) 16 時 35 分 29 秒 (日本時間)
composite number 合成数
18590599297642432154023653236658711797450538232971092360987767958455697735629014203623863044632667240492942815958270984316715767031129815421895178958117892207332487<164>
prime factors 素因数
18877738462753678988358458228078463191761182153603743744043087415889424613123<77>
984789535797533127882030553788266187088927831688690625613496126022687988834798942049069<87>
factorization results 素因数分解の結果
N=18590599297642432154023653236658711797450538232971092360987767958455697735629014203623863044632667240492942815958270984316715767031129815421895178958117892207332487
  ( 164 digits)
SNFS difficulty: 187 digits.
Divisors found:
 r1=18877738462753678988358458228078463191761182153603743744043087415889424613123 (pp77)
 r2=984789535797533127882030553788266187088927831688690625613496126022687988834798942049069 (pp87)
Version: Msieve-1.40
Total time: 297.61 hours.
Scaled time: 582.42 units (timescale=1.957).
Factorization parameters were as follows:
n: 18590599297642432154023653236658711797450538232971092360987767958455697735629014203623863044632667240492942815958270984316715767031129815421895178958117892207332487
m: 10000000000000000000000000000000000000
deg: 5
c5: 620
c0: -17
skew: 0.49
type: snfs
lss: 1
rlim: 9400000
alim: 9400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000Factor base limits: 9400000/9400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4700000, 9100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1723851 x 1724076
Total sieving time: 293.68 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 3.48 hours.
Time per square root: 0.23 hours.
Prototype def-par.txt line would be:
snfs,187.000,5,0,0,0,0,0,0,0,0,9400000,9400000,28,28,54,54,2.5,2.5,100000
total time: 297.61 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
351e6418118Makoto KamadaDecember 27, 2009 14:00:00 UTC 2009 年 12 月 27 日 (日) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 22, 2010 12:31:54 UTC 2010 年 10 月 22 日 (金) 21 時 31 分 54 秒 (日本時間)
403e6110Ignacio SantosOctober 22, 2010 12:31:54 UTC 2010 年 10 月 22 日 (金) 21 時 31 分 54 秒 (日本時間)
4511e6632 / 443732Ignacio SantosOctober 22, 2010 12:31:54 UTC 2010 年 10 月 22 日 (金) 21 時 31 分 54 秒 (日本時間)
400Dmitry DomanovFebruary 17, 2012 21:14:06 UTC 2012 年 2 月 18 日 (土) 6 時 14 分 6 秒 (日本時間)
200Dmitry DomanovFebruary 20, 2012 07:16:02 UTC 2012 年 2 月 20 日 (月) 16 時 16 分 2 秒 (日本時間)

62×10187-179

c184

name 名前Ignacio Santos
date 日付March 15, 2010 00:47:30 UTC 2010 年 3 月 15 日 (月) 9 時 47 分 30 秒 (日本時間)
composite number 合成数
7884730329505423931428280747268958325385016468912543079877405160683173731130695763865043938295626518128521104370938410082280976180484020703775768443274452202001704119135731817430340951<184>
prime factors 素因数
4199023461312442826542247829276163979464993204902954305084715774949439461127<76>
1877753340068497743101353109175100202707668122130961595002544068163993238548691937272297092383366737030916913<109>
factorization results 素因数分解の結果
Number: 2
N=7884730329505423931428280747268958325385016468912543079877405160683173731130695763865043938295626518128521104370938410082280976180484020703775768443274452202001704119135731817430340951
  ( 184 digits)
SNFS difficulty: 188 digits.
Divisors found:
 r1=4199023461312442826542247829276163979464993204902954305084715774949439461127 (pp76)
 r2=1877753340068497743101353109175100202707668122130961595002544068163993238548691937272297092383366737030916913 (pp109)
Version: Msieve-1.40
Total time: 331.47 hours.
Scaled time: 576.42 units (timescale=1.739).
Factorization parameters were as follows:
n: 7884730329505423931428280747268958325385016468912543079877405160683173731130695763865043938295626518128521104370938410082280976180484020703775768443274452202001704119135731817430340951
m: 10000000000000000000000000000000000000
deg: 5
c5: 6200
c0: -17
skew: 0.31
type: snfs
lss: 1
rlim: 9800000
alim: 9800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9800000/9800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4900000, 10300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2044055 x 2044281
Total sieving time: 322.72 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 6.50 hours.
Time per square root: 2.00 hours.
Prototype def-par.txt line would be:
snfs,188.000,5,0,0,0,0,0,0,0,0,9800000,9800000,28,28,54,54,2.5,2.5,100000
total time: 331.47 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 KamadaDecember 27, 2009 14:00:00 UTC 2009 年 12 月 27 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiJanuary 2, 2010 03:15:03 UTC 2010 年 1 月 2 日 (土) 12 時 15 分 3 秒 (日本時間)

62×10188-179

c165

name 名前Dmitry Domanov
date 日付May 19, 2012 07:34:46 UTC 2012 年 5 月 19 日 (土) 16 時 34 分 46 秒 (日本時間)
composite number 合成数
109533360994328662856487089376843981172206372314067178524460688813315014449408642750615021077357229902890611865298536955587528268970317715833115337304277608132437871<165>
prime factors 素因数
12727642688952800371416593157139753125488665663962740693057<59>
8605942488423266903792543104621686934872250391557937239168525014520700998852156637146178725938556283229103<106>
factorization results 素因数分解の結果
N=109533360994328662856487089376843981172206372314067178524460688813315014449408642750615021077357229902890611865298536955587528268970317715833115337304277608132437871
  ( 165 digits)
SNFS difficulty: 189 digits.
Divisors found:
 r1=12727642688952800371416593157139753125488665663962740693057 (pp59)
 r2=8605942488423266903792543104621686934872250391557937239168525014520700998852156637146178725938556283229103 (pp106)
Version: Msieve-1.40
Total time: 356.95 hours.
Scaled time: 702.84 units (timescale=1.969).
Factorization parameters were as follows:
n: 109533360994328662856487089376843981172206372314067178524460688813315014449408642750615021077357229902890611865298536955587528268970317715833115337304277608132437871
m: 10000000000000000000000000000000000000
deg: 5
c5: 62000
c0: -17
skew: 0.19
type: snfs
lss: 1
rlim: 10200000
alim: 10200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 10200000/10200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5100000, 10300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1729957 x 1730182
Total sieving time: 352.69 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 3.24 hours.
Time per square root: 0.79 hours.
Prototype def-par.txt line would be:
snfs,189.000,5,0,0,0,0,0,0,0,0,10200000,10200000,28,28,54,54,2.5,2.5,100000
total time: 356.95 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
351e6418118Makoto KamadaDecember 27, 2009 14:00:00 UTC 2009 年 12 月 27 日 (日) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 22, 2010 12:32:20 UTC 2010 年 10 月 22 日 (金) 21 時 32 分 20 秒 (日本時間)
403e6110Ignacio SantosOctober 22, 2010 12:32:20 UTC 2010 年 10 月 22 日 (金) 21 時 32 分 20 秒 (日本時間)
4511e6632 / 443732Ignacio SantosOctober 22, 2010 12:32:20 UTC 2010 年 10 月 22 日 (金) 21 時 32 分 20 秒 (日本時間)
400Dmitry DomanovFebruary 17, 2012 21:14:16 UTC 2012 年 2 月 18 日 (土) 6 時 14 分 16 秒 (日本時間)
200Dmitry DomanovFebruary 20, 2012 07:16:29 UTC 2012 年 2 月 20 日 (月) 16 時 16 分 29 秒 (日本時間)

62×10189-179

c182

name 名前matsui
date 日付January 28, 2011 01:48:53 UTC 2011 年 1 月 28 日 (金) 10 時 48 分 53 秒 (日本時間)
composite number 合成数
14999627613680484782564608212343197966414163975714723237870596068597747612031522494507631718475674388634393715144997883696491748879401832482586752670641177510115084161426303015878667<182>
prime factors 素因数
37811782744756283394061781155743030332539<41>
396691891385645513920249048828371315689124360789475037413112045909046301920404512785093914598153244725043649870516652586687353262919083371953<141>
factorization results 素因数分解の結果
N=14999627613680484782564608212343197966414163975714723237870596068597747612031522494507631718475674388634393715144997883696491748879401832482586752670641177510115084161426303015878667
  ( 182 digits)
SNFS difficulty: 190 digits.
Divisors found:
 r1=37811782744756283394061781155743030332539 (pp41)
 r2=396691891385645513920249048828371315689124360789475037413112045909046301920404512785093914598153244725043649870516652586687353262919083371953 (pp141)
Version: Msieve v. 1.48
Total time:
Scaled time: 37.08 units (timescale=0.658).
Factorization parameters were as follows:
n: 14999627613680484782564608212343197966414163975714723237870596068597747612031522494507631718475674388634393715144997883696491748879401832482586752670641177510115084161426303015878667
m: 20000000000000000000000000000000000000
deg: 5
c5: 19375
c0: -17
skew: 0.24
type: snfs
lss: 1
rlim: 10600000
alim: 10600000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 320000
Factor base limits: 10600000/10600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5300000, 18740001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2302082 x 2302311
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,190.000,5,0,0,0,0,0,0,0,0,10600000,10600000,28,28,54,54,2.5,2.5,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaDecember 27, 2009 14:00:00 UTC 2009 年 12 月 27 日 (日) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 22, 2010 12:32:51 UTC 2010 年 10 月 22 日 (金) 21 時 32 分 51 秒 (日本時間)
403e6110 / 2126Ignacio SantosOctober 22, 2010 12:32:51 UTC 2010 年 10 月 22 日 (金) 21 時 32 分 51 秒 (日本時間)
4511e632 / 4437Ignacio SantosOctober 22, 2010 12:32:51 UTC 2010 年 10 月 22 日 (金) 21 時 32 分 51 秒 (日本時間)

62×10191-179

c171

name 名前Ignacio Santos
date 日付October 22, 2010 12:31:27 UTC 2010 年 10 月 22 日 (金) 21 時 31 分 27 秒 (日本時間)
composite number 合成数
537522871958796027399397524141030938535501947429351144405170372836172028028337161950743861464120475456391007184985145772534683735252737427854605056079360018822950593214737<171>
prime factors 素因数
35326332064604752403971664605919749<35>
15215926492899825085960563631715660620059510612170363481047000721544213080391700148509634922018028332319835302972715704136800128613242013<137>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3522142093
Step 1 took 88047ms
Step 2 took 43415ms
********** Factor found in step 2: 35326332064604752403971664605919749
Found probable prime factor of 35 digits: 35326332064604752403971664605919749
Probable prime cofactor 15215926492899825085960563631715660620059510612170363481047000721544213080391700148509634922018028332319835302972715704136800128613242013 has 137 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 27, 2009 14:00:00 UTC 2009 年 12 月 27 日 (日) 23 時 0 分 0 秒 (日本時間)

62×10193-179

c167

name 名前Serge Batalov
date 日付December 29, 2009 07:08:51 UTC 2009 年 12 月 29 日 (火) 16 時 8 分 51 秒 (日本時間)
composite number 合成数
53483450960197551034620103088294239337932011567607393596649528433358189225405546746171169547937956934773458972623586057870286010131305969595693617344695270001023607579<167>
prime factors 素因数
183404516270430634046211602439489071<36>
composite cofactor 合成数の残り
291614688928030571562501946129870887563009524211595643088264090188886526398056065550084090583896762274227717735916365114322032616149<132>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=875743584
Step 1 took 7133ms
Step 2 took 1984ms
********** Factor found in step 2: 183404516270430634046211602439489071
Found probable prime factor of 36 digits: 183404516270430634046211602439489071
Composite cofactor has 132 digits

c132

name 名前Warut Roonguthai
date 日付September 4, 2011 11:52:38 UTC 2011 年 9 月 4 日 (日) 20 時 52 分 38 秒 (日本時間)
composite number 合成数
291614688928030571562501946129870887563009524211595643088264090188886526398056065550084090583896762274227717735916365114322032616149<132>
prime factors 素因数
5825140806558561272449118283585481272249896293309789<52>
50061397417157681273154334832997806790236562277288731370782864568067779529313241<80>
factorization results 素因数分解の結果
N = 291614688928030571562501946129870887563009524211595643088264090188886526398056065550084090583896762274227717735916365114322032616149 (132 digits)
Divisors found:
r1=5825140806558561272449118283585481272249896293309789 (pp52)
r2=50061397417157681273154334832997806790236562277288731370782864568067779529313241 (pp80)
Version: Msieve v. 1.48
Total time: 57.41 hours.
Factorization parameters were as follows:
n: 291614688928030571562501946129870887563009524211595643088264090188886526398056065550084090583896762274227717735916365114322032616149
Y0: -32904676658554256332556035
Y1: 257001145754537
c0: 8237169311463935934918365526230232
c1: 9348984705757122757765034730
c2: -15482727274091967329311
c3: -18970447034118130
c4: -1196733556
c5: 7560
skew: 1219780.77
type: gnfs
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 21093615
Relations: 2777186 relations
Pruned matrix : 1602758 x 1602984
Polynomial selection time: 0.00 hours.
Total sieving time: 53.81 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 3.37 hours.
time per square root: 0.11 hours.
Prototype def-par.txt line would be: gnfs,131,5,65,2000,1e-05,0.28,250,20,50000,3600,8000000,8000000,28,28,55,55,2.5,2.5,100000
total time: 57.41 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 27, 2009 14:00:00 UTC 2009 年 12 月 27 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiJanuary 4, 2010 01:56:28 UTC 2010 年 1 月 4 日 (月) 10 時 56 分 28 秒 (日本時間)
4511e639632996Wataru SakaiJune 10, 2010 14:38:56 UTC 2010 年 6 月 10 日 (木) 23 時 38 分 56 秒 (日本時間)
967Wataru SakaiAugust 18, 2010 05:59:58 UTC 2010 年 8 月 18 日 (水) 14 時 59 分 58 秒 (日本時間)

62×10194-179

c188

name 名前Ignacio Santos
date 日付August 18, 2010 21:33:03 UTC 2010 年 8 月 19 日 (木) 6 時 33 分 3 秒 (日本時間)
composite number 合成数
60313793405587506787612165537276293100248927671825412424989705067787693851815216086373554666277311946140015961559023229011191448111124234225192423618636351241967528162625987853599706672621<188>
prime factors 素因数
5365918556294882244869328261299639165149178961331157718750614599269929155577<76>
11240161916887838543046561252253659545873213721700399096296849696690317108125210485014599481575503385904509351573<113>
factorization results 素因数分解の結果
Number: 5
N=60313793405587506787612165537276293100248927671825412424989705067787693851815216086373554666277311946140015961559023229011191448111124234225192423618636351241967528162625987853599706672621
  ( 188 digits)
SNFS difficulty: 195 digits.
Divisors found:
 r1=5365918556294882244869328261299639165149178961331157718750614599269929155577 (pp76)
 r2=11240161916887838543046561252253659545873213721700399096296849696690317108125210485014599481575503385904509351573 (pp113)
Version: Msieve-1.40
Total time: 483.17 hours.
Scaled time: 840.24 units (timescale=1.739).
Factorization parameters were as follows:
n: 60313793405587506787612165537276293100248927671825412424989705067787693851815216086373554666277311946140015961559023229011191448111124234225192423618636351241967528162625987853599706672621
m: 200000000000000000000000000000000000000
deg: 5
c5: 19375
c0: -17
skew: 0.24
type: snfs
lss: 1
rlim: 12800000
alim: 12800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12800000/12800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6400000, 13800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2543519 x 2543744
Total sieving time: 468.46 hours.
Total relation processing time: 0.29 hours.
Matrix solve time: 11.07 hours.
Time per square root: 3.35 hours.
Prototype def-par.txt line would be:
snfs,195.000,5,0,0,0,0,0,0,0,0,12800000,12800000,28,28,55,55,2.5,2.5,100000
total time: 483.17 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaDecember 27, 2009 14:00:00 UTC 2009 年 12 月 27 日 (日) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 21, 2010 10:21:19 UTC 2010 年 6 月 21 日 (月) 19 時 21 分 19 秒 (日本時間)
403e61757110Ignacio SantosJune 21, 2010 10:21:19 UTC 2010 年 6 月 21 日 (月) 19 時 21 分 19 秒 (日本時間)
1647Wataru SakaiJune 24, 2010 05:27:19 UTC 2010 年 6 月 24 日 (木) 14 時 27 分 19 秒 (日本時間)
4511e6139 / 407332Ignacio SantosJune 21, 2010 10:21:19 UTC 2010 年 6 月 21 日 (月) 19 時 21 分 19 秒 (日本時間)
107Dmitry DomanovJune 21, 2010 12:55:42 UTC 2010 年 6 月 21 日 (月) 21 時 55 分 42 秒 (日本時間)

62×10196-179

c193

name 名前Wataru Sakai
date 日付December 28, 2009 23:59:57 UTC 2009 年 12 月 29 日 (火) 8 時 59 分 57 秒 (日本時間)
composite number 合成数
1517075665372258558631304122286086213941925364771056153821684883809132306126294102246006053621284082205925893300642799640795632779600715472458959432907328698911865244530575191897837188418350743<193>
prime factors 素因数
39830843333304057365719904623687709<35>
composite cofactor 合成数の残り
38087962453553547336889322988597737381995280515377486535076259026406323246150991652221791196269401770425524350433869365853289154465193554173366455917152111427<158>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2995638199
Step 1 took 69687ms
********** Factor found in step 1: 39830843333304057365719904623687709
Found probable prime factor of 35 digits: 39830843333304057365719904623687709
Composite cofactor 38087962453553547336889322988597737381995280515377486535076259026406323246150991652221791196269401770425524350433869365853289154465193554173366455917152111427 has 158 digits
software ソフトウェア
GMP-ECM 6.2.1

c158

name 名前Wataru Sakai
date 日付January 2, 2010 03:14:28 UTC 2010 年 1 月 2 日 (土) 12 時 14 分 28 秒 (日本時間)
composite number 合成数
38087962453553547336889322988597737381995280515377486535076259026406323246150991652221791196269401770425524350433869365853289154465193554173366455917152111427<158>
prime factors 素因数
673637215166046862979128386840132119<36>
56540763479293718846438334707571162382276650513596693670223344015385643390822904873892216380140438454194063251274870468533<122>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=849092864
Step 1 took 52132ms
Step 2 took 17346ms
********** Factor found in step 2: 673637215166046862979128386840132119
Found probable prime factor of 36 digits: 673637215166046862979128386840132119
Probable prime cofactor 56540763479293718846438334707571162382276650513596693670223344015385643390822904873892216380140438454194063251274870468533 has 122 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 KamadaDecember 27, 2009 14:00:00 UTC 2009 年 12 月 27 日 (日) 23 時 0 分 0 秒 (日本時間)

62×10197-179

c125

name 名前Sinkiti Sibata
date 日付January 13, 2010 14:52:00 UTC 2010 年 1 月 13 日 (水) 23 時 52 分 0 秒 (日本時間)
composite number 合成数
10871009581309716062504669930614461384546884952684999636955111489560233783054564748101435662249162225331356026731628195678047<125>
prime factors 素因数
662564388389894757034374133147198862998580974438547<51>
16407476423125426157016697280483708709178421251431710229987576774949978501<74>
factorization results 素因数分解の結果
Number: 68887_197
N=10871009581309716062504669930614461384546884952684999636955111489560233783054564748101435662249162225331356026731628195678047
  ( 125 digits)
Divisors found:
 r1=662564388389894757034374133147198862998580974438547 (pp51)
 r2=16407476423125426157016697280483708709178421251431710229987576774949978501 (pp74)
Version: Msieve-1.40
Total time: 61.60 hours.
Scaled time: 205.32 units (timescale=3.333).
Factorization parameters were as follows:
name: 68887_197
# Murphy_E = 1.77414e-10, selected by Jeff Gilchrist
n: 10871009581309716062504669930614461384546884952684999636955111489560233783054564748101435662249162225331356026731628195678047
Y0: -1078797457446464781632099
Y1: 19536848973509
c0: -605951981484854587301989857600
c1: -26908972032686283493118444
c2: 28181730831950053308
c3: 2395141229167621
c4: -2486146792
c5: 7440
skew: 171638.76
type: gnfs
# selected mechanically
rlim: 6800000
alim: 6800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [3400000, 6200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 851658 x 851906
Total sieving time: 59.99 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.39 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
gnfs,124,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,6800000,6800000,27,27,52,52,2.5,2.5,100000
total time: 61.60 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 27, 2009 14:00:00 UTC 2009 年 12 月 27 日 (日) 23 時 0 分 0 秒 (日本時間)

62×10200-179

c201

name 名前Dmitry Domanov
date 日付January 15, 2010 06:59:30 UTC 2010 年 1 月 15 日 (金) 15 時 59 分 30 秒 (日本時間)
composite number 合成数
229629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629<201>
prime factors 素因数
2889947589823233952603100224985528237535554613575978956014718565252830845233<76>
79458060221664821564753065339034919833484840738164296181318696359590975181471908982002462863775077707699252626699115246715213<125>
factorization results 素因数分解の結果
N=229629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629
  ( 201 digits)
SNFS difficulty: 201 digits.
Divisors found:
 r1=2889947589823233952603100224985528237535554613575978956014718565252830845233 (pp76)
 r2=79458060221664821564753065339034919833484840738164296181318696359590975181471908982002462863775077707699252626699115246715213 (pp125)
Version: Msieve-1.40
Total time: 666.27 hours.
Scaled time: 1288.57 units (timescale=1.934).
Factorization parameters were as follows:
n: 229629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629
m: 10000000000000000000000000000000000000000
deg: 5
c5: 62
c0: -17
skew: 0.77
type: snfs
lss: 1
rlim: 16200000
alim: 16200000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 600000
Factor base limits: 16200000/16200000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [8100000, 17700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3257800 x 3258026
Total sieving time: 649.92 hours.
Total relation processing time: 0.40 hours.
Matrix solve time: 15.53 hours.
Time per square root: 0.42 hours.
Prototype def-par.txt line would be:
snfs,201.000,5,0,0,0,0,0,0,0,0,16200000,16200000,29,29,56,56,2.6,2.6,100000
total time: 666.27 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 KamadaDecember 27, 2009 14:00:00 UTC 2009 年 12 月 27 日 (日) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e65000Dmitry DomanovJanuary 9, 2010 21:49:51 UTC 2010 年 1 月 10 日 (日) 6 時 49 分 51 秒 (日本時間)

62×10202-179

c197

name 名前Robert Backstrom
date 日付September 8, 2012 10:01:21 UTC 2012 年 9 月 8 日 (土) 19 時 1 分 21 秒 (日本時間)
composite number 合成数
34471142344190019614635980010962935237786109786474068610583341242236556657575736852636811655071297164098038375166010519591868346478792269056828958472781613804335902601008925857521094532159602056237<197>
prime factors 素因数
2189035716063136060755727902742221424666115532240437<52>
15747181323374901306485544123468743099646983904298711780775761763883380385446546129262365989492011278687250180153507840279729006132828072249093401<146>
factorization results 素因数分解の結果
Number: n
N=34471142344190019614635980010962935237786109786474068610583341242236556657575736852636811655071297164098038375166010519591868346478792269056828958472781613804335902601008925857521094532159602056237
  ( 197 digits)
SNFS difficulty: 203 digits.
Divisors found:

Sat Sep  8 19:50:07 2012  prp52 factor: 2189035716063136060755727902742221424666115532240437
Sat Sep  8 19:50:07 2012  prp146 factor: 15747181323374901306485544123468743099646983904298711780775761763883380385446546129262365989492011278687250180153507840279729006132828072249093401
Sat Sep  8 19:50:07 2012  elapsed time 10:23:30 (Msieve 1.44 - dependency 4)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.093).
Factorization parameters were as follows:
name: KA_68887_202
n: 34471142344190019614635980010962935237786109786474068610583341242236556657575736852636811655071297164098038375166010519591868346478792269056828958472781613804335902601008925857521094532159602056237
m: 10000000000000000000000000000000000000000
#  c197, diff: 203.79
skew: 0.307
deg: 5
c5: 6200
c0: -17
# Murphy_E = 8.454e-12
type: snfs
lss: 1
rlim: 17400000
alim: 17400000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 17400000/17400000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35300000)
Primes: RFBsize:1115323, AFBsize:1116158,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 10717312 hash collisions in 63272000 relations (54427115 unique)
Msieve: matrix is 2427188 x 2427414 (684.8 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,203,5,0,0,0,0,0,0,0,0,17400000,17400000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5662.33 BogoMIPS (lpj=2831168)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830449)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830458)
Total of 4 processors activated (22645.07 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 26, 2011 09:00:00 UTC 2011 年 12 月 26 日 (月) 18 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiDecember 28, 2011 13:16:29 UTC 2011 年 12 月 28 日 (水) 22 時 16 分 29 秒 (日本時間)
4511e64000Wataru SakaiDecember 31, 2011 07:22:44 UTC 2011 年 12 月 31 日 (土) 16 時 22 分 44 秒 (日本時間)

62×10203-179

c153

composite cofactor 合成数の残り
170086640930049035270083048918820119088297739824316418749800727379597550183963166649049565519430410569755827410391906898008791272566914166882856746458459<153>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 26, 2011 09:00:00 UTC 2011 年 12 月 26 日 (月) 18 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 9, 2012 12:14:46 UTC 2012 年 2 月 9 日 (木) 21 時 14 分 46 秒 (日本時間)
4511e6400 / 2149Dmitry DomanovFebruary 17, 2012 21:14:34 UTC 2012 年 2 月 18 日 (土) 6 時 14 分 34 秒 (日本時間)
5043e6600 / 7425Dmitry DomanovMay 13, 2012 22:33:22 UTC 2012 年 5 月 14 日 (月) 7 時 33 分 22 秒 (日本時間)

62×10204-179

c199

name 名前Serge Batalov
date 日付December 27, 2011 17:28:16 UTC 2011 年 12 月 28 日 (水) 2 時 28 分 16 秒 (日本時間)
composite number 合成数
6873814613441611435011907775138011230260926676686914485422357658543702549198496585876062683424139750416226105040534995643442818787288365503340064128255624304788487735285407989168642056858198858791559<199>
prime factors 素因数
1334072675355396103066852840348166261<37>
composite cofactor 合成数の残り
5152503863112578661447205153515900511500059303114393316897681605532053394244348484838329514196216154381135724259414307327495519305029297569540748210196583641716619<163>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2331831570
Step 1 took 16525ms
Step 2 took 11260ms
********** Factor found in step 2: 1334072675355396103066852840348166261
Found probable prime factor of 37 digits: 1334072675355396103066852840348166261
Composite cofactor 515250386311... has 163 digits

c163

name 名前Dmitry Domanov
date 日付February 18, 2012 23:06:06 UTC 2012 年 2 月 19 日 (日) 8 時 6 分 6 秒 (日本時間)
composite number 合成数
5152503863112578661447205153515900511500059303114393316897681605532053394244348484838329514196216154381135724259414307327495519305029297569540748210196583641716619<163>
prime factors 素因数
217508798847939737157037998590991297342700117<45>
23688714619378183559745407398680718370383552698675471126728240747807690972550198865593349117033555786830162924113357407<119>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2942588782
Step 1 took 72700ms
Step 2 took 10980ms
********** Factor found in step 2: 217508798847939737157037998590991297342700117
Found probable prime factor of 45 digits: 217508798847939737157037998590991297342700117

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 26, 2011 09:00:00 UTC 2011 年 12 月 26 日 (月) 18 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 9, 2012 12:15:11 UTC 2012 年 2 月 9 日 (木) 21 時 15 分 11 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovFebruary 17, 2012 21:14:45 UTC 2012 年 2 月 18 日 (土) 6 時 14 分 45 秒 (日本時間)

62×10205-179

c153

composite cofactor 合成数の残り
107244935933647719632880448953396732115613408242578205821494200416657331743640556494885799972719004298452335185370067451635217106466573160108757503006157<153>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 26, 2011 09:00:00 UTC 2011 年 12 月 26 日 (月) 18 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 9, 2012 12:15:28 UTC 2012 年 2 月 9 日 (木) 21 時 15 分 28 秒 (日本時間)
4511e6400 / 2149Dmitry DomanovFebruary 17, 2012 21:14:59 UTC 2012 年 2 月 18 日 (土) 6 時 14 分 59 秒 (日本時間)
5043e6600 / 7425Dmitry DomanovMay 13, 2012 22:33:59 UTC 2012 年 5 月 14 日 (月) 7 時 33 分 59 秒 (日本時間)

62×10207-179

c197

composite cofactor 合成数の残り
11523117647299997713485849106698264838446867775896884577452234974500463729530209210889415941592897401861896970545836111724448047093516315899560931281657422139431297371261358214166479801805846500917<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 26, 2011 09:00:00 UTC 2011 年 12 月 26 日 (月) 18 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 9, 2012 12:15:43 UTC 2012 年 2 月 9 日 (木) 21 時 15 分 43 秒 (日本時間)
4511e6400 / 2851Dmitry DomanovFebruary 17, 2012 21:15:10 UTC 2012 年 2 月 18 日 (土) 6 時 15 分 10 秒 (日本時間)
5043e6400 / 7425Dmitry DomanovMay 13, 2012 22:34:25 UTC 2012 年 5 月 14 日 (月) 7 時 34 分 25 秒 (日本時間)

62×10210-179

c202

name 名前Wataru Sakai
date 日付December 28, 2011 12:08:14 UTC 2011 年 12 月 28 日 (水) 21 時 8 分 14 秒 (日本時間)
composite number 合成数
1600359145082813952073004500385155299259401357040649075848876022705520446901152360844827772409751174976114879168204657299171786494924800260414735245322934349732597914750923357454252759361055751261707269<202>
prime factors 素因数
34736544034405130690527380551497077937<38>
composite cofactor 合成数の残り
46071340415952820867106745238139228601814861645820733492187544385193433669717331645860711483141075725038427762478927669919164523373023182150954526710772261846802837<164>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4244187470
Step 1 took 26970ms
Step 2 took 10046ms
********** Factor found in step 2: 34736544034405130690527380551497077937
Found probable prime factor of 38 digits: 34736544034405130690527380551497077937
Composite cofactor 46071340415952820867106745238139228601814861645820733492187544385193433669717331645860711483141075725038427762478927669919164523373023182150954526710772261846802837 has 164 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 26, 2011 09:00:00 UTC 2011 年 12 月 26 日 (月) 18 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiDecember 28, 2011 12:07:56 UTC 2011 年 12 月 28 日 (水) 21 時 7 分 56 秒 (日本時間)
4511e60 / 1998--
5043e6560 / 7465Dmitry DomanovMay 13, 2012 22:34:52 UTC 2012 年 5 月 14 日 (月) 7 時 34 分 52 秒 (日本時間)

62×10211-179

c157

composite cofactor 合成数の残り
7459057159701738533899018268457255212789910194183901478708571957171655956351925518883593488181850985624580581909053359581843424372842692688581728587461547397<157>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 26, 2011 09:00:00 UTC 2011 年 12 月 26 日 (月) 18 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 9, 2012 12:16:07 UTC 2012 年 2 月 9 日 (木) 21 時 16 分 7 秒 (日本時間)
4511e6400 / 2289Dmitry DomanovFebruary 17, 2012 21:15:25 UTC 2012 年 2 月 18 日 (土) 6 時 15 分 25 秒 (日本時間)
5043e6560 / 7425Dmitry DomanovMay 13, 2012 22:35:21 UTC 2012 年 5 月 14 日 (月) 7 時 35 分 21 秒 (日本時間)

62×10214-179

c187

name 名前Dmitry Domanov
date 日付February 20, 2012 07:06:40 UTC 2012 年 2 月 20 日 (月) 16 時 6 分 40 秒 (日本時間)
composite number 合成数
2530615222668527643528706892775358654345255607127426618695118542658319573078439745968938953774943452387640709390507784858566878655516562873509226993792556647847332442595092555384922839931<187>
prime factors 素因数
8270933264429515515191525292507526953617<40>
composite cofactor 合成数の残り
305964894379192632582328057340077309619105260970485782869119552459340607035979030743344865741299995652051766952142769040734397174342041654023783243<147>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3644048863
Step 1 took 86539ms
Step 2 took 30321ms
********** Factor found in step 2: 8270933264429515515191525292507526953617
Found probable prime factor of 40 digits: 8270933264429515515191525292507526953617

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 26, 2011 09:00:00 UTC 2011 年 12 月 26 日 (月) 18 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 9, 2012 12:16:22 UTC 2012 年 2 月 9 日 (木) 21 時 16 分 22 秒 (日本時間)
4511e6400Dmitry DomanovFebruary 17, 2012 21:15:40 UTC 2012 年 2 月 18 日 (土) 6 時 15 分 40 秒 (日本時間)
5043e61100 / 7425800Dmitry DomanovApril 19, 2012 21:23:07 UTC 2012 年 4 月 20 日 (金) 6 時 23 分 7 秒 (日本時間)
300Dmitry DomanovMay 26, 2012 16:49:33 UTC 2012 年 5 月 27 日 (日) 1 時 49 分 33 秒 (日本時間)

62×10215-179

c180

composite cofactor 合成数の残り
803261729992747846863432134451681700527921101062735788062627473208500482832451416368981733679339777216427189962673754839334855005373373844870093131865128530970052279140796073024207<180>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 26, 2011 09:00:00 UTC 2011 年 12 月 26 日 (月) 18 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 7, 2012 22:03:53 UTC 2012 年 2 月 8 日 (水) 7 時 3 分 53 秒 (日本時間)
4511e6400 / 2149Dmitry DomanovFebruary 17, 2012 21:15:50 UTC 2012 年 2 月 18 日 (土) 6 時 15 分 50 秒 (日本時間)
5043e6600 / 7425Dmitry DomanovJune 6, 2012 20:07:21 UTC 2012 年 6 月 7 日 (木) 5 時 7 分 21 秒 (日本時間)

62×10216-179

c208

name 名前Wataru Sakai
date 日付December 28, 2011 12:08:59 UTC 2011 年 12 月 28 日 (水) 21 時 8 分 59 秒 (日本時間)
composite number 合成数
2850537125264555655229045851739625684164260172077031210284137201853007823582308968484357038705948057481147520888940304118970096171647276325337550444438859138782325271055597106570879392712772788731149897581739<208>
prime factors 素因数
254275308440393338723818084303839061280994633<45>
composite cofactor 合成数の残り
11210436210847316027176370880040905424404939194142909752368509536457535587229726647870790711485171954224396124684218690254560984874852799389466839074828022352678483<164>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3149224243
Step 1 took 26903ms
Step 2 took 10005ms
********** Factor found in step 2: 254275308440393338723818084303839061280994633
Found probable prime factor of 45 digits: 254275308440393338723818084303839061280994633
Composite cofactor 11210436210847316027176370880040905424404939194142909752368509536457535587229726647870790711485171954224396124684218690254560984874852799389466839074828022352678483 has 164 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 26, 2011 09:00:00 UTC 2011 年 12 月 26 日 (月) 18 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiDecember 28, 2011 12:08:47 UTC 2011 年 12 月 28 日 (水) 21 時 8 分 47 秒 (日本時間)
4511e60 / 1858--
5043e6600 / 7465Dmitry DomanovMay 13, 2012 22:36:02 UTC 2012 年 5 月 14 日 (月) 7 時 36 分 2 秒 (日本時間)

62×10217-179

c180

composite cofactor 合成数の残り
892249446396188493203216676971240660392970655325690473480509881385014207675229440247403867945696204491132985518858428934947934779829817074556227004237226774579785635788871836608989<180>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 26, 2011 09:00:00 UTC 2011 年 12 月 26 日 (月) 18 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 9, 2012 12:17:18 UTC 2012 年 2 月 9 日 (木) 21 時 17 分 18 秒 (日本時間)
4511e6400 / 2009Dmitry DomanovFebruary 17, 2012 21:16:02 UTC 2012 年 2 月 18 日 (土) 6 時 16 分 2 秒 (日本時間)
5043e6640 / 7425Dmitry DomanovJune 6, 2012 20:06:42 UTC 2012 年 6 月 7 日 (木) 5 時 6 分 42 秒 (日本時間)

62×10218-179

c161

name 名前Dmitry Domanov
date 日付February 9, 2012 13:51:00 UTC 2012 年 2 月 9 日 (木) 22 時 51 分 0 秒 (日本時間)
composite number 合成数
74495768779011264478886658121421405535520238923004654727872123784920281540086026013122342719339595619022839564105359577854359739183288260087419005913872265345197<161>
prime factors 素因数
8562954164007549603466155557078467<34>
8699774324629397214240497119116661800554634177298706155138937099614876620285940961835910843815786832805814803720509763010474191<127>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2939391460
Step 1 took 20453ms
Step 2 took 7996ms
********** Factor found in step 2: 8562954164007549603466155557078467
Found probable prime factor of 34 digits: 8562954164007549603466155557078467

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 26, 2011 09:00:00 UTC 2011 年 12 月 26 日 (月) 18 時 0 分 0 秒 (日本時間)
403e61000 / 2318Dmitry DomanovFebruary 9, 2012 12:17:36 UTC 2012 年 2 月 9 日 (木) 21 時 17 分 36 秒 (日本時間)

62×10219-179

c220

name 名前matsui
date 日付March 15, 2012 19:48:20 UTC 2012 年 3 月 16 日 (金) 4 時 48 分 20 秒 (日本時間)
composite number 合成数
6888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<220>
prime factors 素因数
19191405129108087266174048544067464807032300321415036816306166779150968921618084613478011451223508931689829<107>
358956983219552678637979245266326145974887792028879095197856675298756909372231820203700137936911715234878347018603<114>
factorization results 素因数分解の結果
N=6888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887
  ( 220 digits)
SNFS difficulty: 220 digits.
Divisors found:
 r1=19191405129108087266174048544067464807032300321415036816306166779150968921618084613478011451223508931689829 (pp107)
 r2=358956983219552678637979245266326145974887792028879095197856675298756909372231820203700137936911715234878347018603 (pp114)
Version: Msieve v. 1.51
Total time:
Scaled time: 120.62 units (timescale=0.613).
Factorization parameters were as follows:
n: 6888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887
m: 1000000000000000000000000000000000000
deg: 6
c6: 62000
c0: -17
skew: 0.25
type: snfs
lss: 1
rlim: 33000000
alim: 33000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 33000000/33000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved rational special-q in [16500000, 77200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 6966475 x 6966699
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,220.000,6,0,0,0,0,0,0,0,0,33000000,33000000,29,29,58,58,2.6,2.6,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 26, 2011 09:00:00 UTC 2011 年 12 月 26 日 (月) 18 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiDecember 29, 2011 04:45:09 UTC 2011 年 12 月 29 日 (木) 13 時 45 分 9 秒 (日本時間)
4511e6800 / 3963Dmitry DomanovFebruary 17, 2012 21:16:31 UTC 2012 年 2 月 18 日 (土) 6 時 16 分 31 秒 (日本時間)

62×10220-179

c203

composite cofactor 合成数の残り
94934456993319572948216134896565523854862875449558535488195904563366444861184718292671151167703718232882284660971748668450878105427574076550849986797118120684959068605001981356785325152385223647706239669<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 26, 2011 09:00:00 UTC 2011 年 12 月 26 日 (月) 18 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 9, 2012 12:17:59 UTC 2012 年 2 月 9 日 (木) 21 時 17 分 59 秒 (日本時間)
4511e6400 / 2289Dmitry DomanovFebruary 17, 2012 21:16:49 UTC 2012 年 2 月 18 日 (土) 6 時 16 分 49 秒 (日本時間)
5043e6560 / 7425Dmitry DomanovJune 6, 2012 20:06:00 UTC 2012 年 6 月 7 日 (木) 5 時 6 分 0 秒 (日本時間)

62×10221-179

c219

composite cofactor 合成数の残り
427615697634319608248844747913649217187392233947168770260017932271191116628733016070073798192978826125939719980688323332643630595213462997448099868956479757224636181805641768397820539347541209738602662252569142699496517<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 26, 2011 09:00:00 UTC 2011 年 12 月 26 日 (月) 18 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiDecember 29, 2011 04:44:56 UTC 2011 年 12 月 29 日 (木) 13 時 44 分 56 秒 (日本時間)
4511e61650400Dmitry DomanovFebruary 17, 2012 21:17:04 UTC 2012 年 2 月 18 日 (土) 6 時 17 分 4 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:15:19 UTC 2013 年 11 月 9 日 (土) 2 時 15 分 19 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:28:20 UTC 2014 年 1 月 6 日 (月) 11 時 28 分 20 秒 (日本時間)
5043e6750 / 7095Dmitry DomanovJune 6, 2012 20:05:14 UTC 2012 年 6 月 7 日 (木) 5 時 5 分 14 秒 (日本時間)

62×10223-179

c191

composite cofactor 合成数の残り
48345470872457645295997884511252795111015883960998514627754369999279426297964172530308459239632142334768060247751201797955532875498037313273510084308327439779384244111469616530922873706013489<191>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 26, 2011 09:00:00 UTC 2011 年 12 月 26 日 (月) 18 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 9, 2012 12:18:18 UTC 2012 年 2 月 9 日 (木) 21 時 18 分 18 秒 (日本時間)
4511e6400 / 2570Dmitry DomanovFebruary 17, 2012 21:17:15 UTC 2012 年 2 月 18 日 (土) 6 時 17 分 15 秒 (日本時間)
5043e6480 / 7425Dmitry DomanovJune 5, 2012 19:20:12 UTC 2012 年 6 月 6 日 (水) 4 時 20 分 12 秒 (日本時間)

62×10224-179

c204

name 名前Serge Batalov
date 日付December 27, 2011 09:15:30 UTC 2011 年 12 月 27 日 (火) 18 時 15 分 30 秒 (日本時間)
composite number 合成数
130187739915731087165996440594318248888112359293165760793473347113051317025412454382650954256347568898698716107234167754721931915096887326254584109137543805585361626788171391687218661895016823537053876523<204>
prime factors 素因数
159270349438603777020992660810191<33>
composite cofactor 合成数の残り
817400981253679110400311649228355742742929862895242057987249488392513994460779933614951480553635527531600499646650892816161498423282068246222464778195517483120940309460453<171>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=769504876
Step 1 took 16137ms
Step 2 took 11404ms
********** Factor found in step 2: 159270349438603777020992660810191
Found probable prime factor of 33 digits: 159270349438603777020992660810191
Composite cofactor 817400981253... has 171 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 26, 2011 09:00:00 UTC 2011 年 12 月 26 日 (月) 18 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 9, 2012 12:18:34 UTC 2012 年 2 月 9 日 (木) 21 時 18 分 34 秒 (日本時間)
4511e6400 / 2851Dmitry DomanovFebruary 17, 2012 21:17:26 UTC 2012 年 2 月 18 日 (土) 6 時 17 分 26 秒 (日本時間)
5043e6400 / 7425Dmitry DomanovJune 5, 2012 19:19:17 UTC 2012 年 6 月 6 日 (水) 4 時 19 分 17 秒 (日本時間)

62×10225-179

c195

composite cofactor 合成数の残り
224213369921889428359425020706012249070761504567374481163815194629988148427849267912196468768749933356208660303933535331492993961300927678237994694019048030165940668383421509348660771005242924751<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 26, 2011 09:00:00 UTC 2011 年 12 月 26 日 (月) 18 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 9, 2012 12:18:50 UTC 2012 年 2 月 9 日 (木) 21 時 18 分 50 秒 (日本時間)
4511e6400 / 2710Dmitry DomanovFebruary 17, 2012 21:17:39 UTC 2012 年 2 月 18 日 (土) 6 時 17 分 39 秒 (日本時間)
5043e6440 / 7425Dmitry DomanovJune 4, 2012 19:47:11 UTC 2012 年 6 月 5 日 (火) 4 時 47 分 11 秒 (日本時間)

62×10227-179

c195

name 名前Serge Batalov
date 日付December 26, 2011 18:45:15 UTC 2011 年 12 月 27 日 (火) 3 時 45 分 15 秒 (日本時間)
composite number 合成数
118282035218751237261762508828629237426231452081051967472941362168885626869017445924123394937466306735757463395564077263614510430550131829444394165927985657698875386143963132591597082820535964663<195>
prime factors 素因数
50962946002423167413052564649<29>
2320941870454804684048036766441924560809003223175680212876757224601334221956577213911203732872693662571346540553280213332995536776511732403393905871271284900418729887<166>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3118410704
Step 1 took 16265ms
Step 2 took 11089ms
********** Factor found in step 2: 50962946002423167413052564649
Found probable prime factor of 29 digits: 50962946002423167413052564649
Probable prime cofactor 232094187045... has 166 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 26, 2011 09:00:00 UTC 2011 年 12 月 26 日 (月) 18 時 0 分 0 秒 (日本時間)

62×10228-179

c206

composite cofactor 合成数の残り
48017977971471046085770764987610753177626106916387827290093537261735560522321989859329460335533842465326655832893998470244125164610393656806233620899438874470737045987387566842738985957958318882582450426923<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 26, 2011 09:00:00 UTC 2011 年 12 月 26 日 (月) 18 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 9, 2012 12:19:05 UTC 2012 年 2 月 9 日 (木) 21 時 19 分 5 秒 (日本時間)
4511e6400 / 2149Dmitry DomanovFebruary 17, 2012 21:17:52 UTC 2012 年 2 月 18 日 (土) 6 時 17 分 52 秒 (日本時間)
5043e6600 / 7425Dmitry DomanovMay 12, 2012 21:49:15 UTC 2012 年 5 月 13 日 (日) 6 時 49 分 15 秒 (日本時間)

62×10229-179

c175

composite cofactor 合成数の残り
3732170282155870791563828854372534394829035052349516086832611903451827625206269005196534356488807983680799999647886649705277291179669595273009781701802947897186474914187997573<175>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 26, 2011 09:00:00 UTC 2011 年 12 月 26 日 (月) 18 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 9, 2012 12:19:19 UTC 2012 年 2 月 9 日 (木) 21 時 19 分 19 秒 (日本時間)
4511e6400 / 2149Dmitry DomanovFebruary 17, 2012 21:18:02 UTC 2012 年 2 月 18 日 (土) 6 時 18 分 2 秒 (日本時間)
5043e6600 / 7425Dmitry DomanovJune 4, 2012 19:46:39 UTC 2012 年 6 月 5 日 (火) 4 時 46 分 39 秒 (日本時間)

62×10230-179

c210

name 名前Dmitry Domanov
date 日付May 14, 2012 14:47:09 UTC 2012 年 5 月 14 日 (月) 23 時 47 分 9 秒 (日本時間)
composite number 合成数
109327763472681701615678767273997395656140038108543422447060602249920908819150582861579044983059209309283905233567702831246327118789730900269935592193229445017259354926765677135545410020992103750855484711424671<210>
prime factors 素因数
46969957680661940677140761260352031245642333<44>
2327610431671586756056412472310717059100705324398276643285860829350128738260679252719449870790470423645855587050596850840471043589257425155293186863652667023010674987<166>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2012421341
Step 1 took 391300ms
Step 2 took 103757ms
********** Factor found in step 2: 46969957680661940677140761260352031245642333
Found probable prime factor of 44 digits: 46969957680661940677140761260352031245642333

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 26, 2011 09:00:00 UTC 2011 年 12 月 26 日 (月) 18 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 9, 2012 12:19:38 UTC 2012 年 2 月 9 日 (木) 21 時 19 分 38 秒 (日本時間)
4511e6400 / 2149Dmitry DomanovFebruary 17, 2012 21:18:14 UTC 2012 年 2 月 18 日 (土) 6 時 18 分 14 秒 (日本時間)
5043e6600 / 7425Dmitry DomanovMay 12, 2012 21:48:44 UTC 2012 年 5 月 13 日 (日) 6 時 48 分 44 秒 (日本時間)

62×10232-179

c181

name 名前Dmitry Domanov
date 日付May 13, 2012 13:45:09 UTC 2012 年 5 月 13 日 (日) 22 時 45 分 9 秒 (日本時間)
composite number 合成数
2294146801627131869861570901713724185473582319964540492343558653896588349872326634075103941951764948303891687213298436574102177390320899135323292185348924564351797820546146700212481<181>
prime factors 素因数
49818086115826755788606663662934115180251<41>
46050480467941986264852755332720253321609601681470206226564015062606888820770103663837679369616115868785659116125408596630954900730508699731<140>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2487563342
Step 1 took 361444ms
Step 2 took 92776ms
********** Factor found in step 2: 49818086115826755788606663662934115180251
Found probable prime factor of 41 digits: 49818086115826755788606663662934115180251

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 26, 2011 09:00:00 UTC 2011 年 12 月 26 日 (月) 18 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 9, 2012 12:19:52 UTC 2012 年 2 月 9 日 (木) 21 時 19 分 52 秒 (日本時間)
4511e6400 / 2289Dmitry DomanovFebruary 17, 2012 21:18:27 UTC 2012 年 2 月 18 日 (土) 6 時 18 分 27 秒 (日本時間)
5043e6560 / 7425Dmitry DomanovMay 12, 2012 21:48:07 UTC 2012 年 5 月 13 日 (日) 6 時 48 分 7 秒 (日本時間)

62×10233-179

c202

composite cofactor 合成数の残り
6816625515705544536846258302038162341293604796518833561455263602095701697035049750198746173842097828735799196533270863114531376221600406702101559235285787970374818164932668432884618397385121143224464791<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 26, 2011 09:00:00 UTC 2011 年 12 月 26 日 (月) 18 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 9, 2012 12:20:08 UTC 2012 年 2 月 9 日 (木) 21 時 20 分 8 秒 (日本時間)
4511e6400 / 2570Dmitry DomanovFebruary 17, 2012 21:18:38 UTC 2012 年 2 月 18 日 (土) 6 時 18 分 38 秒 (日本時間)
5043e6480 / 7425Dmitry DomanovMay 12, 2012 21:47:23 UTC 2012 年 5 月 13 日 (日) 6 時 47 分 23 秒 (日本時間)

62×10234-179

c147

composite cofactor 合成数の残り
449001335718384496245372255659427660316799722739004031632732488004473861134465677314664175959026343812901814052366546721066577043758868985708283397<147>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 26, 2011 09:00:00 UTC 2011 年 12 月 26 日 (月) 18 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiDecember 28, 2011 12:07:20 UTC 2011 年 12 月 28 日 (水) 21 時 7 分 20 秒 (日本時間)
4511e64000Wataru SakaiApril 11, 2012 10:26:26 UTC 2012 年 4 月 11 日 (水) 19 時 26 分 26 秒 (日本時間)
5043e66600Wataru SakaiApril 16, 2012 03:15:49 UTC 2012 年 4 月 16 日 (月) 12 時 15 分 49 秒 (日本時間)

62×10235-179

c221

composite cofactor 合成数の残り
41338797153871401507472239377669488800249455126788938082521484914617347758816157747786766935682357887561136754914438382705832620340256036176169328081478562248585222814543399592046923967480647944360260252733342392905800437<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 26, 2011 09:00:00 UTC 2011 年 12 月 26 日 (月) 18 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 9, 2012 12:20:26 UTC 2012 年 2 月 9 日 (木) 21 時 20 分 26 秒 (日本時間)
4511e6400Dmitry DomanovFebruary 17, 2012 21:18:53 UTC 2012 年 2 月 18 日 (土) 6 時 18 分 53 秒 (日本時間)
5043e61110 / 7425450Dmitry DomanovMay 12, 2012 21:42:48 UTC 2012 年 5 月 13 日 (日) 6 時 42 分 48 秒 (日本時間)
660Dmitry DomanovJune 11, 2012 21:54:52 UTC 2012 年 6 月 12 日 (火) 6 時 54 分 52 秒 (日本時間)

62×10237-179

c208

name 名前Dmitry Domanov
date 日付June 12, 2012 09:04:43 UTC 2012 年 6 月 12 日 (火) 18 時 4 分 43 秒 (日本時間)
composite number 合成数
1621180705829032017271941900417697663559906581524959251213204311311964568602856845938270912202321006441227861049604273040283339090783723728330875668403977695274717711271022691566438059331558999697074219893897<208>
prime factors 素因数
3678168542273650974527879361873761936833109<43>
440757590957727861774475271546812432372676475858464553301039015758851515434831720970561528828916315085781634334539679139213944090702755797258222007488914869671525733<165>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=171607174
Step 1 took 409790ms
Step 2 took 103102ms
********** Factor found in step 2: 3678168542273650974527879361873761936833109
Found probable prime factor of 43 digits: 3678168542273650974527879361873761936833109

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 26, 2011 09:00:00 UTC 2011 年 12 月 26 日 (月) 18 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 9, 2012 12:20:40 UTC 2012 年 2 月 9 日 (木) 21 時 20 分 40 秒 (日本時間)
4511e6400 / 886Dmitry DomanovFebruary 17, 2012 21:19:03 UTC 2012 年 2 月 18 日 (土) 6 時 19 分 3 秒 (日本時間)
5043e6960 / 7425480Dmitry DomanovMay 12, 2012 21:43:15 UTC 2012 年 5 月 13 日 (日) 6 時 43 分 15 秒 (日本時間)
480Dmitry DomanovJune 11, 2012 21:56:13 UTC 2012 年 6 月 12 日 (火) 6 時 56 分 13 秒 (日本時間)

62×10238-179

c207

composite cofactor 合成数の残り
694148138048766169945245922690300713681916107214289400729859171301115639206772333185885305190717280840552175221555202776115018064097967397275155719348336259364983949964028731553523022046472325564468303203553<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 26, 2011 09:00:00 UTC 2011 年 12 月 26 日 (月) 18 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 9, 2012 12:20:55 UTC 2012 年 2 月 9 日 (木) 21 時 20 分 55 秒 (日本時間)
4511e6400 / 886Dmitry DomanovFebruary 17, 2012 21:19:14 UTC 2012 年 2 月 18 日 (土) 6 時 19 分 14 秒 (日本時間)
5043e6960 / 7425480Dmitry DomanovMay 12, 2012 21:44:05 UTC 2012 年 5 月 13 日 (日) 6 時 44 分 5 秒 (日本時間)
480Dmitry DomanovJune 11, 2012 21:55:32 UTC 2012 年 6 月 12 日 (火) 6 時 55 分 32 秒 (日本時間)

62×10239-179

c197

composite cofactor 合成数の残り
72024208292378215733593895563308626134937600881653162138942271811932611488591911925662561278171771396106379041186807960575880813921259856305451352204672795755733800240347779193492199433141924305029<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 26, 2011 09:00:00 UTC 2011 年 12 月 26 日 (月) 18 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 9, 2012 12:21:09 UTC 2012 年 2 月 9 日 (木) 21 時 21 分 9 秒 (日本時間)
4511e6400 / 2570Dmitry DomanovFebruary 17, 2012 21:19:26 UTC 2012 年 2 月 18 日 (土) 6 時 19 分 26 秒 (日本時間)
5043e6480 / 7425Dmitry DomanovMay 12, 2012 21:44:35 UTC 2012 年 5 月 13 日 (日) 6 時 44 分 35 秒 (日本時間)

62×10240-179

c218

name 名前Dmitry Domanov
date 日付February 18, 2012 05:59:34 UTC 2012 年 2 月 18 日 (土) 14 時 59 分 34 秒 (日本時間)
composite number 合成数
64723073656082955683759322697248550962245666247288450762897668797421829885136582351859570555995346182083375610211863913151824413424666899820187084322766781374154225708117884805044420050369912136861843168750733112442311<218>
prime factors 素因数
110476939622413946518436104331369120131<39>
composite cofactor 合成数の残り
585851435397217619368386835203413841039498226426212704957053795034337734879798342677954072493982400175913334886578317553209820814761994054840018216367179229458045747430393217020781<180>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1812130269
Step 1 took 113303ms
Step 2 took 36122ms
********** Factor found in step 2: 110476939622413946518436104331369120131
Found probable prime factor of 39 digits: 110476939622413946518436104331369120131

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 26, 2011 09:00:00 UTC 2011 年 12 月 26 日 (月) 18 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 9, 2012 12:21:24 UTC 2012 年 2 月 9 日 (木) 21 時 21 分 24 秒 (日本時間)
4511e6400 / 2149Dmitry DomanovFebruary 17, 2012 21:19:37 UTC 2012 年 2 月 18 日 (土) 6 時 19 分 37 秒 (日本時間)
5043e6600 / 7425Dmitry DomanovMay 12, 2012 21:45:10 UTC 2012 年 5 月 13 日 (日) 6 時 45 分 10 秒 (日本時間)

62×10241-179

c216

name 名前Dmitry Domanov
date 日付February 20, 2012 07:05:20 UTC 2012 年 2 月 20 日 (月) 16 時 5 分 20 秒 (日本時間)
composite number 合成数
872321490374788507026091626973258512710001364859175742999752701396687224201783032588854808423147278488983597735723429381977836390767434688107607321716892335149535429001806075142212827224883779746239468828505027697509<216>
prime factors 素因数
204026917612227269582493214782204074417<39>
composite cofactor 合成数の残り
4275521585993467716773370257794905314791940339855615558941557071110650035473264365108115601536357782301922373255886940897041210192125199615584124809177532378052003746464738252277<178>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=674425585
Step 1 took 112699ms
Step 2 took 36108ms
********** Factor found in step 2: 204026917612227269582493214782204074417
Found probable prime factor of 39 digits: 204026917612227269582493214782204074417

c178

name 名前Dmitry Domanov
date 日付June 5, 2012 07:55:00 UTC 2012 年 6 月 5 日 (火) 16 時 55 分 0 秒 (日本時間)
composite number 合成数
4275521585993467716773370257794905314791940339855615558941557071110650035473264365108115601536357782301922373255886940897041210192125199615584124809177532378052003746464738252277<178>
prime factors 素因数
138563150205175187879287431517730097971851678789<48>
30856122855626166932867046129736751446058598156233674650381267010835812101632898960249394557796845853887476396491898114400470814193<131>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2630041895
Step 1 took 349109ms
Step 2 took 90369ms
********** Factor found in step 2: 138563150205175187879287431517730097971851678789
Found probable prime factor of 48 digits: 138563150205175187879287431517730097971851678789

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 26, 2011 09:00:00 UTC 2011 年 12 月 26 日 (月) 18 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 9, 2012 12:21:38 UTC 2012 年 2 月 9 日 (木) 21 時 21 分 38 秒 (日本時間)
4511e6400 / 2149Dmitry DomanovFebruary 17, 2012 21:19:48 UTC 2012 年 2 月 18 日 (土) 6 時 19 分 48 秒 (日本時間)
5043e6600 / 7425Dmitry DomanovJune 4, 2012 19:45:12 UTC 2012 年 6 月 5 日 (火) 4 時 45 分 12 秒 (日本時間)

62×10242-179

c182

name 名前Serge Batalov
date 日付December 27, 2011 09:28:41 UTC 2011 年 12 月 27 日 (火) 18 時 28 分 41 秒 (日本時間)
composite number 合成数
48331084561294217775624094562521053226185670405384077855246312010796887475515797290055581225100442402295631322104615039367192107054614117982832478702024209266095199953292806711734807<182>
prime factors 素因数
14068553831783603972942049543173<32>
composite cofactor 合成数の残り
3435398203623806860822360200149746898356146050658189760567044046192512095787641532320601981141314352717603323012366425368934309584819264166811920561259<151>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3837311779
Step 1 took 14068ms
Step 2 took 10153ms
********** Factor found in step 2: 14068553831783603972942049543173
Found probable prime factor of 32 digits: 14068553831783603972942049543173
Composite cofactor 343539820362... has 151 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 26, 2011 09:00:00 UTC 2011 年 12 月 26 日 (月) 18 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiDecember 30, 2011 07:55:07 UTC 2011 年 12 月 30 日 (金) 16 時 55 分 7 秒 (日本時間)
4511e60--
5043e61160 / 7465720Dmitry DomanovApril 18, 2012 19:50:50 UTC 2012 年 4 月 19 日 (木) 4 時 50 分 50 秒 (日本時間)
440Dmitry DomanovApril 28, 2012 10:04:21 UTC 2012 年 4 月 28 日 (土) 19 時 4 分 21 秒 (日本時間)

62×10243-179

c209

composite cofactor 合成数の残り
40107886609811609493375536861903456066358046975057692398327469512776340502666016404349689473691393386750119051816178294709625950765102139247640932805092506911471409569537345073093696513943946777935201052824069<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 26, 2011 09:00:00 UTC 2011 年 12 月 26 日 (月) 18 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 9, 2012 12:22:03 UTC 2012 年 2 月 9 日 (木) 21 時 22 分 3 秒 (日本時間)
4511e6400Dmitry DomanovFebruary 17, 2012 21:20:05 UTC 2012 年 2 月 18 日 (土) 6 時 20 分 5 秒 (日本時間)
5043e61098 / 7423450Dmitry DomanovMay 12, 2012 21:42:11 UTC 2012 年 5 月 13 日 (日) 6 時 42 分 11 秒 (日本時間)
400Dmitry DomanovJune 4, 2012 19:44:28 UTC 2012 年 6 月 5 日 (火) 4 時 44 分 28 秒 (日本時間)
248Dmitry DomanovJune 11, 2012 21:52:44 UTC 2012 年 6 月 12 日 (火) 6 時 52 分 44 秒 (日本時間)
5511e71 / 17345Dmitry DomanovJune 11, 2012 21:52:44 UTC 2012 年 6 月 12 日 (火) 6 時 52 分 44 秒 (日本時間)

62×10244-179

c243

name 名前Brad
date 日付March 14, 2013 00:33:33 UTC 2013 年 3 月 14 日 (木) 9 時 33 分 33 秒 (日本時間)
composite number 合成数
757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757<243>
prime factors 素因数
23868037294158652451646052008629636316115889891<47>
31716925346267437116405262354423680518302257662388083900667267409382737441588209361199592417903176791159499700647625592123110253322855709808943977347268845597642846972158086426118136998626979770727<197>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757 (243 digits)
[Wed Mar 13 01:44:52 2013]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=405399904
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35 40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+007        3.6e+008
Step 1 took 1734328ms
Using 29 small primes for NTT
Estimated memory usage: 841M
Initializing tables of differences for F took 1109ms
Computing roots of F took 47032ms
Building F from its roots took 27235ms
Computing 1/F took 9656ms
Initializing table of differences for G took 1047ms
Computing roots of G took 39797ms
Building G from its roots took 25078ms
Computing roots of G took 39687ms
Building G from its roots took 25344ms
Computing G * H took 5171ms
Reducing  G * H mod F took 5250ms
Computing roots of G took 38829ms
Building G from its roots took 25828ms
Computing G * H took 5437ms
Reducing  G * H mod F took 5125ms
Computing roots of G took 38219ms
Building G from its roots took 25656ms
Computing G * H took 5469ms
Reducing  G * H mod F took 5562ms
Computing polyeval(F,G) took 50188ms
Computing product of all F(g_i) took 219ms
Step 2 took 427891ms
********** Factor found in step 2: 23868037294158652451646052008629636316115889891
Found probable prime factor of 47 digits: 23868037294158652451646052008629636316115889891
Probable prime cofactor 31716925346267437116405262354423680518302257662388083900667267409382737441588209361199592417903176791159499700647625592123110253322855709808943977347268845597642846972158086426118136998626979770727 has 197 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 26, 2011 09:00:00 UTC 2011 年 12 月 26 日 (月) 18 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiDecember 29, 2011 04:44:42 UTC 2011 年 12 月 29 日 (木) 13 時 44 分 42 秒 (日本時間)
4511e60--
5043e61140 / 2692480Dmitry DomanovApril 20, 2012 19:52:09 UTC 2012 年 4 月 21 日 (土) 4 時 52 分 9 秒 (日本時間)
660Domanov DmitryMay 4, 2012 22:13:15 UTC 2012 年 5 月 5 日 (土) 7 時 13 分 15 秒 (日本時間)
5511e71980 / 17344yoyo@homeMarch 10, 2013 18:10:25 UTC 2013 年 3 月 11 日 (月) 3 時 10 分 25 秒 (日本時間)

62×10245-179

c233

composite cofactor 合成数の残り
32173088612884653148548003886835101079765219481215453600049714587376813028878177853673632086086050661496781201155935108316195660818069082617185440440917247744764827237165150245954928009233149079605889631358205339463259993445912742439<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 26, 2011 09:00:00 UTC 2011 年 12 月 26 日 (月) 18 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 9, 2012 12:22:23 UTC 2012 年 2 月 9 日 (木) 21 時 22 分 23 秒 (日本時間)
4511e6400Dmitry DomanovFebruary 17, 2012 21:20:23 UTC 2012 年 2 月 18 日 (土) 6 時 20 分 23 秒 (日本時間)
5043e61210 / 7425450Dmitry DomanovMay 12, 2012 21:40:24 UTC 2012 年 5 月 13 日 (日) 6 時 40 分 24 秒 (日本時間)
360Dmitry DomanovJune 4, 2012 19:43:52 UTC 2012 年 6 月 5 日 (火) 4 時 43 分 52 秒 (日本時間)
400Dmitry DomanovJune 11, 2012 21:51:14 UTC 2012 年 6 月 12 日 (火) 6 時 51 分 14 秒 (日本時間)

62×10247-179

c237

composite cofactor 合成数の残り
131200885337908413456955789754988755216997670545955065991453666266627746168403405794228589538236729912207374186068418687419189367102048650123424756454345870378818416150751804948362551024027474192012426401455586845778853921442356495547009<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 26, 2011 09:00:00 UTC 2011 年 12 月 26 日 (月) 18 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 9, 2012 12:22:39 UTC 2012 年 2 月 9 日 (木) 21 時 22 分 39 秒 (日本時間)
4511e6400Dmitry DomanovFebruary 17, 2012 21:20:37 UTC 2012 年 2 月 18 日 (土) 6 時 20 分 37 秒 (日本時間)
5043e61210 / 7425450Dmitry DomanovMay 12, 2012 21:41:09 UTC 2012 年 5 月 13 日 (日) 6 時 41 分 9 秒 (日本時間)
360Dmitry DomanovJune 4, 2012 19:43:08 UTC 2012 年 6 月 5 日 (火) 4 時 43 分 8 秒 (日本時間)
400Dmitry DomanovJune 11, 2012 21:51:55 UTC 2012 年 6 月 12 日 (火) 6 時 51 分 55 秒 (日本時間)

62×10249-179

c221

composite cofactor 合成数の残り
51208587315532464355506835738077324368215678675747261720842027925141686472133871496447234702615349606692426690175540911591536210224704915231191009317589382293948562431493764429347316098231058866873116246665094070366154199<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 26, 2011 09:00:00 UTC 2011 年 12 月 26 日 (月) 18 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 9, 2012 12:22:54 UTC 2012 年 2 月 9 日 (木) 21 時 22 分 54 秒 (日本時間)
4511e6400Dmitry DomanovFebruary 17, 2012 21:20:47 UTC 2012 年 2 月 18 日 (土) 6 時 20 分 47 秒 (日本時間)
5043e61100 / 7425450Dmitry DomanovMay 12, 2012 21:41:37 UTC 2012 年 5 月 13 日 (日) 6 時 41 分 37 秒 (日本時間)
650Dmitry DomanovJune 4, 2012 19:42:16 UTC 2012 年 6 月 5 日 (火) 4 時 42 分 16 秒 (日本時間)

62×10250-179

c225

composite cofactor 合成数の残り
143515363635693929653016248834685612344892688659000156092119787531081813655282337156281053851989894092708330630146853386126902186271909311465544210407075137665378656298445215624031719719728933730039174990493962239318994465861<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 26, 2011 09:00:00 UTC 2011 年 12 月 26 日 (月) 18 時 0 分 0 秒 (日本時間)
403e60--
4511e6800Dmitry DomanovDecember 29, 2011 11:10:33 UTC 2011 年 12 月 29 日 (木) 20 時 10 分 33 秒 (日本時間)
5043e61050 / 7373450Dmitry DomanovJanuary 24, 2012 17:31:33 UTC 2012 年 1 月 25 日 (水) 2 時 31 分 33 秒 (日本時間)
600Dmitry DomanovJanuary 26, 2012 14:27:10 UTC 2012 年 1 月 26 日 (木) 23 時 27 分 10 秒 (日本時間)