Table of contents 目次

29×10103+439

c92

name 名前Sinkiti Sibata
date 日付November 16, 2008 01:58:26 UTC 2008 年 11 月 16 日 (日) 10 時 58 分 26 秒 (日本時間)
composite number 合成数
76800901792617659949345571350578332419923141299538313055437365070058025792039820937782628763<92>
prime factors 素因数
5903435180099898704490423374514522415338172223<46>
13009527410669058115242501966183259978431586981<47>
factorization results 素因数分解の結果
Sun Nov 16 08:45:25 2008  Msieve v. 1.38
Sun Nov 16 08:45:25 2008  random seeds: b2d53890 b00bac8c
Sun Nov 16 08:45:25 2008  factoring 76800901792617659949345571350578332419923141299538313055437365070058025792039820937782628763 (92 digits)
Sun Nov 16 08:45:26 2008  searching for 15-digit factors
Sun Nov 16 08:45:27 2008  commencing quadratic sieve (92-digit input)
Sun Nov 16 08:45:28 2008  using multiplier of 2
Sun Nov 16 08:45:28 2008  using 32kb Intel Core sieve core
Sun Nov 16 08:45:28 2008  sieve interval: 36 blocks of size 32768
Sun Nov 16 08:45:28 2008  processing polynomials in batches of 6
Sun Nov 16 08:45:28 2008  using a sieve bound of 1853281 (69412 primes)
Sun Nov 16 08:45:28 2008  using large prime bound of 209420753 (27 bits)
Sun Nov 16 08:45:28 2008  using double large prime bound of 950244572529970 (42-50 bits)
Sun Nov 16 08:45:28 2008  using trial factoring cutoff of 50 bits
Sun Nov 16 08:45:28 2008  polynomial 'A' values have 12 factors
Sun Nov 16 10:49:37 2008  69959 relations (17732 full + 52227 combined from 892618 partial), need 69508
Sun Nov 16 10:49:38 2008  begin with 910350 relations
Sun Nov 16 10:49:38 2008  reduce to 177464 relations in 10 passes
Sun Nov 16 10:49:38 2008  attempting to read 177464 relations
Sun Nov 16 10:49:41 2008  recovered 177464 relations
Sun Nov 16 10:49:41 2008  recovered 157168 polynomials
Sun Nov 16 10:49:41 2008  attempting to build 69959 cycles
Sun Nov 16 10:49:41 2008  found 69959 cycles in 6 passes
Sun Nov 16 10:49:41 2008  distribution of cycle lengths:
Sun Nov 16 10:49:41 2008     length 1 : 17732
Sun Nov 16 10:49:41 2008     length 2 : 12853
Sun Nov 16 10:49:41 2008     length 3 : 11981
Sun Nov 16 10:49:41 2008     length 4 : 9439
Sun Nov 16 10:49:41 2008     length 5 : 6861
Sun Nov 16 10:49:41 2008     length 6 : 4532
Sun Nov 16 10:49:41 2008     length 7 : 2862
Sun Nov 16 10:49:41 2008     length 9+: 3699
Sun Nov 16 10:49:41 2008  largest cycle: 19 relations
Sun Nov 16 10:49:41 2008  matrix is 69412 x 69959 (17.5 MB) with weight 4316157 (61.70/col)
Sun Nov 16 10:49:41 2008  sparse part has weight 4316157 (61.70/col)
Sun Nov 16 10:49:42 2008  filtering completed in 3 passes
Sun Nov 16 10:49:42 2008  matrix is 65468 x 65532 (16.4 MB) with weight 4042304 (61.68/col)
Sun Nov 16 10:49:42 2008  sparse part has weight 4042304 (61.68/col)
Sun Nov 16 10:49:42 2008  saving the first 48 matrix rows for later
Sun Nov 16 10:49:42 2008  matrix is 65420 x 65532 (9.8 MB) with weight 3128711 (47.74/col)
Sun Nov 16 10:49:42 2008  sparse part has weight 2186706 (33.37/col)
Sun Nov 16 10:49:42 2008  matrix includes 64 packed rows
Sun Nov 16 10:49:42 2008  using block size 26212 for processor cache size 1024 kB
Sun Nov 16 10:49:43 2008  commencing Lanczos iteration
Sun Nov 16 10:49:43 2008  memory use: 9.8 MB
Sun Nov 16 10:50:10 2008  lanczos halted after 1036 iterations (dim = 65419)
Sun Nov 16 10:50:10 2008  recovered 17 nontrivial dependencies
Sun Nov 16 10:50:11 2008  prp46 factor: 5903435180099898704490423374514522415338172223
Sun Nov 16 10:50:11 2008  prp47 factor: 13009527410669058115242501966183259978431586981
Sun Nov 16 10:50:11 2008  elapsed time 02:04:46
execution environment 実行環境
binary, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2008 06:00:00 UTC 2008 年 11 月 13 日 (木) 15 時 0 分 0 秒 (日本時間)

29×10107+439

c83

name 名前Robert Backstrom
date 日付November 15, 2008 19:21:07 UTC 2008 年 11 月 16 日 (日) 4 時 21 分 7 秒 (日本時間)
composite number 合成数
22005502960845341009717371068217949500020830757589908888394504033728427454516432311<83>
prime factors 素因数
1425282736544390826810125421049919685529<40>
15439394862943373275259839417275417587690959<44>
factorization results 素因数分解の結果
Sun Nov 16 06:01:28 2008  
Sun Nov 16 06:01:28 2008  
Sun Nov 16 06:01:28 2008  Msieve v. 1.38
Sun Nov 16 06:01:28 2008  random seeds: ce7c0a8c 72132a61
Sun Nov 16 06:01:28 2008  factoring 22005502960845341009717371068217949500020830757589908888394504033728427454516432311 (83 digits)
Sun Nov 16 06:01:29 2008  searching for 15-digit factors
Sun Nov 16 06:01:30 2008  commencing quadratic sieve (83-digit input)
Sun Nov 16 06:01:30 2008  using multiplier of 19
Sun Nov 16 06:01:30 2008  using 64kb Opteron sieve core
Sun Nov 16 06:01:30 2008  sieve interval: 6 blocks of size 65536
Sun Nov 16 06:01:30 2008  processing polynomials in batches of 17
Sun Nov 16 06:01:30 2008  using a sieve bound of 1362629 (52353 primes)
Sun Nov 16 06:01:30 2008  using large prime bound of 123999239 (26 bits)
Sun Nov 16 06:01:30 2008  using trial factoring cutoff of 27 bits
Sun Nov 16 06:01:30 2008  polynomial 'A' values have 11 factors
Sun Nov 16 06:17:11 2008  52512 relations (26925 full + 25587 combined from 276907 partial), need 52449
Sun Nov 16 06:17:11 2008  begin with 303832 relations
Sun Nov 16 06:17:11 2008  reduce to 74921 relations in 2 passes
Sun Nov 16 06:17:11 2008  attempting to read 74921 relations
Sun Nov 16 06:17:12 2008  recovered 74921 relations
Sun Nov 16 06:17:12 2008  recovered 67669 polynomials
Sun Nov 16 06:17:12 2008  attempting to build 52512 cycles
Sun Nov 16 06:17:12 2008  found 52512 cycles in 1 passes
Sun Nov 16 06:17:12 2008  distribution of cycle lengths:
Sun Nov 16 06:17:12 2008     length 1 : 26925
Sun Nov 16 06:17:12 2008     length 2 : 25587
Sun Nov 16 06:17:12 2008  largest cycle: 2 relations
Sun Nov 16 06:17:12 2008  matrix is 52353 x 52512 (7.2 MB) with weight 1681244 (32.02/col)
Sun Nov 16 06:17:12 2008  sparse part has weight 1681244 (32.02/col)
Sun Nov 16 06:17:13 2008  filtering completed in 4 passes
Sun Nov 16 06:17:13 2008  matrix is 37946 x 38010 (5.7 MB) with weight 1348944 (35.49/col)
Sun Nov 16 06:17:13 2008  sparse part has weight 1348944 (35.49/col)
Sun Nov 16 06:17:14 2008  saving the first 48 matrix rows for later
Sun Nov 16 06:17:14 2008  matrix is 37898 x 38010 (3.5 MB) with weight 1001632 (26.35/col)
Sun Nov 16 06:17:14 2008  sparse part has weight 694996 (18.28/col)
Sun Nov 16 06:17:14 2008  matrix includes 64 packed rows
Sun Nov 16 06:17:14 2008  using block size 15204 for processor cache size 1024 kB
Sun Nov 16 06:17:14 2008  commencing Lanczos iteration
Sun Nov 16 06:17:14 2008  memory use: 4.1 MB
Sun Nov 16 06:17:19 2008  lanczos halted after 601 iterations (dim = 37896)
Sun Nov 16 06:17:19 2008  recovered 17 nontrivial dependencies
Sun Nov 16 06:17:19 2008  prp40 factor: 1425282736544390826810125421049919685529
Sun Nov 16 06:17:19 2008  prp44 factor: 15439394862943373275259839417275417587690959
Sun Nov 16 06:17:19 2008  elapsed time 00:15:51

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2008 06:00:00 UTC 2008 年 11 月 13 日 (木) 15 時 0 分 0 秒 (日本時間)

29×10112+439

c101

name 名前Justin Card
date 日付January 5, 2009 23:04:57 UTC 2009 年 1 月 6 日 (火) 8 時 4 分 57 秒 (日本時間)
composite number 合成数
15041679499071292646284989557979980982308780587943355373610269065634432656659938885011590841227122309<101>
prime factors 素因数
45090396972221616172354904437<29>
333589422784143321541957121594048625347148135316145689550420073192386257<72>
factorization results 素因数分解の結果
Sun Dec  7 00:36:59 2008  Msieve v. 1.39
Sun Dec  7 00:36:59 2008  random seeds: 760852d7 bc69bd5e
Sun Dec  7 00:36:59 2008  factoring 15041679499071292646284989557979980982308780587943355373610269065634432656659938885011590841227122309 (101 digits)
Sun Dec  7 00:37:00 2008  searching for 15-digit factors
Sun Dec  7 00:37:00 2008  commencing number field sieve (101-digit input)
Sun Dec  7 00:37:00 2008  R0: -20000000000000000000000
Sun Dec  7 00:37:00 2008  R1:  1
Sun Dec  7 00:37:00 2008  A0:  344
Sun Dec  7 00:37:00 2008  A1:  0
Sun Dec  7 00:37:00 2008  A2:  0
Sun Dec  7 00:37:00 2008  A3:  0
Sun Dec  7 00:37:00 2008  A4:  0
Sun Dec  7 00:37:00 2008  A5:  725
Sun Dec  7 00:37:00 2008  skew 1.00, size 2.348152e-08, alpha 0.523263, combined = 1.972314e-08
Sun Dec  7 00:37:00 2008
Sun Dec  7 00:37:00 2008  commencing relation filtering
Sun Dec  7 00:37:00 2008  commencing duplicate removal, pass 1
Sun Dec  7 00:37:00 2008  error -9 reading relation 57
Sun Dec  7 00:37:00 2008  error -9 reading relation 600
Sun Dec  7 00:37:01 2008  error -9 reading relation 6662
Sun Dec  7 00:37:16 2008  found 62189 hash collisions in 1229541 relations
Sun Dec  7 00:37:20 2008  added 7524 free relations
Sun Dec  7 00:37:20 2008  commencing duplicate removal, pass 2
Sun Dec  7 00:37:21 2008  found 62231 duplicates and 1174834 unique relations
Sun Dec  7 00:37:21 2008  memory use: 36.9 MB
Sun Dec  7 00:37:21 2008  reading rational ideals above 458752
Sun Dec  7 00:37:21 2008  reading algebraic ideals above 458752
Sun Dec  7 00:37:21 2008  commencing singleton removal, pass 1
Sun Dec  7 00:37:37 2008  relations with 0 large ideals: 17359
Sun Dec  7 00:37:37 2008  relations with 1 large ideals: 170040
Sun Dec  7 00:37:37 2008  relations with 2 large ideals: 503738
Sun Dec  7 00:37:37 2008  relations with 3 large ideals: 322915
Sun Dec  7 00:37:37 2008  relations with 4 large ideals: 78947
Sun Dec  7 00:37:37 2008  relations with 5 large ideals: 9452
Sun Dec  7 00:37:37 2008  relations with 6 large ideals: 72368
Sun Dec  7 00:37:37 2008  relations with 7+ large ideals: 15
Sun Dec  7 00:37:37 2008  1174834 relations and about 1430364 large ideals
Sun Dec  7 00:37:37 2008  commencing singleton removal, pass 2
Sun Dec  7 00:37:53 2008  found 678514 singletons
Sun Dec  7 00:37:53 2008  current dataset: 496320 relations and about 407268 large ideals
Sun Dec  7 00:37:53 2008  commencing singleton removal, pass 3
Sun Dec  7 00:37:59 2008  found 143234 singletons
Sun Dec  7 00:37:59 2008  current dataset: 353086 relations and about 251585 large ideals
Sun Dec  7 00:37:59 2008  commencing singleton removal, final pass
Sun Dec  7 00:38:03 2008  memory use: 11.7 MB
Sun Dec  7 00:38:03 2008  commencing in-memory singleton removal
Sun Dec  7 00:38:03 2008  begin with 353086 relations and 253896 unique ideals
Sun Dec  7 00:38:04 2008  reduce to 310065 relations and 209765 ideals in 10 passes
Sun Dec  7 00:38:04 2008  max relations containing the same ideal: 38
Sun Dec  7 00:38:04 2008  reading rational ideals above 229376
Sun Dec  7 00:38:04 2008  reading algebraic ideals above 229376
Sun Dec  7 00:38:04 2008  commencing singleton removal, final pass
Sun Dec  7 00:38:08 2008  keeping 280459 ideals with weight <= 20, new excess is 51103
Sun Dec  7 00:38:09 2008  memory use: 11.7 MB
Sun Dec  7 00:38:09 2008  commencing in-memory singleton removal
Sun Dec  7 00:38:09 2008  begin with 317593 relations and 280459 unique ideals
Sun Dec  7 00:38:09 2008  reduce to 309989 relations and 235373 ideals in 4 passes
Sun Dec  7 00:38:09 2008  max relations containing the same ideal: 20
Sun Dec  7 00:38:09 2008  relations with 0 large ideals: 5366
Sun Dec  7 00:38:09 2008  relations with 1 large ideals: 31032
Sun Dec  7 00:38:09 2008  relations with 2 large ideals: 79805
Sun Dec  7 00:38:09 2008  relations with 3 large ideals: 98556
Sun Dec  7 00:38:09 2008  relations with 4 large ideals: 62857
Sun Dec  7 00:38:09 2008  relations with 5 large ideals: 23612
Sun Dec  7 00:38:09 2008  relations with 6 large ideals: 8091
Sun Dec  7 00:38:09 2008  relations with 7+ large ideals: 670
Sun Dec  7 00:38:09 2008  commencing 2-way merge
Sun Dec  7 00:38:09 2008  reduce to 194123 relation sets and 119507 unique ideals
Sun Dec  7 00:38:09 2008  commencing full merge
Sun Dec  7 00:38:12 2008  memory use: 9.9 MB
Sun Dec  7 00:38:12 2008  found 80647 cycles, need 65707
Sun Dec  7 00:38:12 2008  weight of 65707 cycles is about 5097139 (77.57/cycle)
Sun Dec  7 00:38:12 2008  distribution of cycle lengths:
Sun Dec  7 00:38:12 2008  1 relations: 6358
Sun Dec  7 00:38:12 2008  2 relations: 5050
Sun Dec  7 00:38:12 2008  3 relations: 5181
Sun Dec  7 00:38:12 2008  4 relations: 5044
Sun Dec  7 00:38:12 2008  5 relations: 4944
Sun Dec  7 00:38:12 2008  6 relations: 4810
Sun Dec  7 00:38:12 2008  7 relations: 4483
Sun Dec  7 00:38:12 2008  8 relations: 4259
Sun Dec  7 00:38:12 2008  9 relations: 3928
Sun Dec  7 00:38:12 2008  10+ relations: 21650
Sun Dec  7 00:38:12 2008  heaviest cycle: 20 relations
Sun Dec  7 00:38:12 2008  commencing cycle optimization
Sun Dec  7 00:38:13 2008  start with 486593 relations
Sun Dec  7 00:38:14 2008  pruned 33805 relations
Sun Dec  7 00:38:14 2008  memory use: 13.5 MB
Sun Dec  7 00:38:14 2008  distribution of cycle lengths:
Sun Dec  7 00:38:14 2008  1 relations: 6358
Sun Dec  7 00:38:14 2008  2 relations: 5301
Sun Dec  7 00:38:14 2008  3 relations: 5583
Sun Dec  7 00:38:14 2008  4 relations: 5487
Sun Dec  7 00:38:14 2008  5 relations: 5416
Sun Dec  7 00:38:14 2008  6 relations: 5327
Sun Dec  7 00:38:14 2008  7 relations: 4957
Sun Dec  7 00:38:14 2008  8 relations: 4627
Sun Dec  7 00:38:14 2008  9 relations: 4289
Sun Dec  7 00:38:14 2008  10+ relations: 18362
Sun Dec  7 00:38:14 2008  heaviest cycle: 19 relations
Sun Dec  7 00:38:14 2008  elapsed time 00:01:15
Sun Dec  7 00:38:14 2008
Sun Dec  7 00:38:14 2008
Sun Dec  7 00:38:14 2008  Msieve v. 1.39
Sun Dec  7 00:38:14 2008  random seeds: 1b990db7 ba65cf40
Sun Dec  7 00:38:14 2008  factoring 15041679499071292646284989557979980982308780587943355373610269065634432656659938885011590841227122309 (101 digits)
Sun Dec  7 00:38:15 2008  searching for 15-digit factors
Sun Dec  7 00:38:16 2008  commencing number field sieve (101-digit input)
Sun Dec  7 00:38:16 2008  R0: -20000000000000000000000
Sun Dec  7 00:38:16 2008  R1:  1
Sun Dec  7 00:38:16 2008  A0:  344
Sun Dec  7 00:38:16 2008  A1:  0
Sun Dec  7 00:38:16 2008  A2:  0Sun Dec  7 00:38:16 2008  A3:  0
Sun Dec  7 00:38:16 2008  A4:  0
Sun Dec  7 00:38:16 2008  A5:  725
Sun Dec  7 00:38:16 2008  skew 1.00, size 2.348152e-08, alpha 0.523263, combined = 1.972314e-08
Sun Dec  7 00:38:16 2008
Sun Dec  7 00:38:16 2008  commencing linear algebra
Sun Dec  7 00:38:16 2008  read 65707 cycles
Sun Dec  7 00:38:16 2008  cycles contain 206245 unique relations
Sun Dec  7 00:38:18 2008  read 206245 relations
Sun Dec  7 00:38:19 2008  using 20 quadratic characters above 33552150
Sun Dec  7 00:38:21 2008  building initial matrix
Sun Dec  7 00:38:23 2008  memory use: 32.0 MB
Sun Dec  7 00:38:23 2008  read 65707 cycles
Sun Dec  7 00:38:24 2008  matrix is 65498 x 65707 (20.1 MB) with weight 6006938 (91.42/col)
Sun Dec  7 00:38:24 2008  sparse part has weight 4541869 (69.12/col)
Sun Dec  7 00:38:25 2008  filtering completed in 2 passes
Sun Dec  7 00:38:25 2008  matrix is 65276 x 65476 (20.0 MB) with weight 5989908 (91.48/col)
Sun Dec  7 00:38:25 2008  sparse part has weight 4530167 (69.19/col)
Sun Dec  7 00:38:25 2008  read 65476 cyclesSun Dec  7 00:38:25 2008  matrix is 65276 x 65476 (20.0 MB) with weight 5989908 (91.48/col)
Sun Dec  7 00:38:25 2008  sparse part has weight 4530167 (69.19/col)
Sun Dec  7 00:38:25 2008  saving the first 48 matrix rows for later
Sun Dec  7 00:38:25 2008  matrix is 65228 x 65476 (18.6 MB) with weight 4719058 (72.07/col)
Sun Dec  7 00:38:25 2008  sparse part has weight 4224151 (64.51/col)
Sun Dec  7 00:38:25 2008  matrix includes 64 packed rows
Sun Dec  7 00:38:25 2008  using block size 10922 for processor cache size 256 kB
Sun Dec  7 00:38:26 2008  commencing Lanczos iteration
Sun Dec  7 00:38:26 2008  memory use: 16.7 MB
Sun Dec  7 00:39:09 2008  lanczos halted after 1033 iterations (dim = 65228)
Sun Dec  7 00:39:09 2008  recovered 39 nontrivial dependencies
Sun Dec  7 00:39:09 2008  elapsed time 00:00:55
Sun Dec  7 00:39:09 2008
Sun Dec  7 00:39:09 2008
Sun Dec  7 00:39:09 2008  Msieve v. 1.39
Sun Dec  7 00:39:09 2008  random seeds: 226198c7 36d1bb1e
Sun Dec  7 00:39:09 2008  factoring 15041679499071292646284989557979980982308780587943355373610269065634432656659938885011590841227122309 (101 digits)
Sun Dec  7 00:39:10 2008  searching for 15-digit factors
Sun Dec  7 00:39:11 2008  commencing number field sieve (101-digit input)
Sun Dec  7 00:39:11 2008  R0: -20000000000000000000000
Sun Dec  7 00:39:11 2008  R1:  1
Sun Dec  7 00:39:11 2008  A0:  344
Sun Dec  7 00:39:11 2008  A1:  0
Sun Dec  7 00:39:11 2008  A2:  0
Sun Dec  7 00:39:11 2008  A3:  0
Sun Dec  7 00:39:11 2008  A4:  0
Sun Dec  7 00:39:11 2008  A5:  725
Sun Dec  7 00:39:11 2008  skew 1.00, size 2.348152e-08, alpha 0.523263, combined = 1.972314e-08
Sun Dec  7 00:39:11 2008
Sun Dec  7 00:39:11 2008  commencing square root phase
Sun Dec  7 00:39:11 2008  reading relations for dependency 1
Sun Dec  7 00:39:11 2008  read 32712 cycles
Sun Dec  7 00:39:11 2008  cycles contain 128877 unique relations
Sun Dec  7 00:39:13 2008  read 128877 relations
Sun Dec  7 00:39:13 2008  multiplying 102694 relations
Sun Dec  7 00:39:22 2008  multiply complete, coefficients have about 2.89 million bits
Sun Dec  7 00:39:22 2008  initial square root is modulo 4567151
Sun Dec  7 00:39:38 2008  prp29 factor: 45090396972221616172354904437
Sun Dec  7 00:39:38 2008  prp72 factor: 333589422784143321541957121594048625347148135316145689550420073192386257
Sun Dec  7 00:39:38 2008  elapsed time 00:00:29
software ソフトウェア
ggnfs / msieve
execution environment 実行環境
Athlon 64x2 3600+, 3 GB RAM, Ubuntu linux

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2008 06:00:00 UTC 2008 年 11 月 13 日 (木) 15 時 0 分 0 秒 (日本時間)

29×10113+439

c91

name 名前Sinkiti Sibata
date 日付November 16, 2008 03:58:19 UTC 2008 年 11 月 16 日 (日) 12 時 58 分 19 秒 (日本時間)
composite number 合成数
6384440633581039826739877413765078122967424829684569361832030989027519066449604771610631171<91>
prime factors 素因数
1230125378660460641412156544039754279<37>
5190073096884926489334879139819915251892446474164708549<55>
factorization results 素因数分解の結果
Sun Nov 16 11:02:01 2008  Msieve v. 1.38
Sun Nov 16 11:02:01 2008  random seeds: 4a2d7900 8d9ddbb5
Sun Nov 16 11:02:01 2008  factoring 6384440633581039826739877413765078122967424829684569361832030989027519066449604771610631171 (91 digits)
Sun Nov 16 11:02:02 2008  searching for 15-digit factors
Sun Nov 16 11:02:03 2008  commencing quadratic sieve (91-digit input)
Sun Nov 16 11:02:04 2008  using multiplier of 1
Sun Nov 16 11:02:04 2008  using 32kb Intel Core sieve core
Sun Nov 16 11:02:04 2008  sieve interval: 36 blocks of size 32768
Sun Nov 16 11:02:04 2008  processing polynomials in batches of 6
Sun Nov 16 11:02:04 2008  using a sieve bound of 1710419 (64706 primes)
Sun Nov 16 11:02:04 2008  using large prime bound of 164200224 (27 bits)
Sun Nov 16 11:02:04 2008  using double large prime bound of 613299659056128 (42-50 bits)
Sun Nov 16 11:02:04 2008  using trial factoring cutoff of 50 bits
Sun Nov 16 11:02:04 2008  polynomial 'A' values have 12 factors
Sun Nov 16 12:49:14 2008  65008 relations (16520 full + 48488 combined from 767657 partial), need 64802
Sun Nov 16 12:49:15 2008  begin with 784177 relations
Sun Nov 16 12:49:15 2008  reduce to 163114 relations in 10 passes
Sun Nov 16 12:49:15 2008  attempting to read 163114 relations
Sun Nov 16 12:49:18 2008  recovered 163114 relations
Sun Nov 16 12:49:18 2008  recovered 143897 polynomials
Sun Nov 16 12:49:18 2008  attempting to build 65008 cycles
Sun Nov 16 12:49:18 2008  found 65008 cycles in 5 passes
Sun Nov 16 12:49:18 2008  distribution of cycle lengths:
Sun Nov 16 12:49:18 2008     length 1 : 16520
Sun Nov 16 12:49:18 2008     length 2 : 11927
Sun Nov 16 12:49:18 2008     length 3 : 11315
Sun Nov 16 12:49:18 2008     length 4 : 8818
Sun Nov 16 12:49:18 2008     length 5 : 6414
Sun Nov 16 12:49:18 2008     length 6 : 4171
Sun Nov 16 12:49:18 2008     length 7 : 2538
Sun Nov 16 12:49:18 2008     length 9+: 3305
Sun Nov 16 12:49:18 2008  largest cycle: 18 relations
Sun Nov 16 12:49:18 2008  matrix is 64706 x 65008 (16.3 MB) with weight 4013865 (61.74/col)
Sun Nov 16 12:49:18 2008  sparse part has weight 4013865 (61.74/col)
Sun Nov 16 12:49:19 2008  filtering completed in 3 passes
Sun Nov 16 12:49:19 2008  matrix is 61072 x 61136 (15.4 MB) with weight 3794033 (62.06/col)
Sun Nov 16 12:49:19 2008  sparse part has weight 3794033 (62.06/col)
Sun Nov 16 12:49:19 2008  saving the first 48 matrix rows for later
Sun Nov 16 12:49:19 2008  matrix is 61024 x 61136 (9.7 MB) with weight 2988624 (48.88/col)
Sun Nov 16 12:49:19 2008  sparse part has weight 2182842 (35.70/col)
Sun Nov 16 12:49:19 2008  matrix includes 64 packed rows
Sun Nov 16 12:49:19 2008  using block size 24454 for processor cache size 1024 kB
Sun Nov 16 12:49:20 2008  commencing Lanczos iteration
Sun Nov 16 12:49:20 2008  memory use: 9.4 MB
Sun Nov 16 12:49:44 2008  lanczos halted after 966 iterations (dim = 61020)
Sun Nov 16 12:49:45 2008  recovered 15 nontrivial dependencies
Sun Nov 16 12:49:45 2008  prp37 factor: 1230125378660460641412156544039754279
Sun Nov 16 12:49:45 2008  prp55 factor: 5190073096884926489334879139819915251892446474164708549
Sun Nov 16 12:49:45 2008  elapsed time 01:47:44
execution environment 実行環境
binary, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2008 06:00:00 UTC 2008 年 11 月 13 日 (木) 15 時 0 分 0 秒 (日本時間)

29×10116+439

c99

name 名前Robert Backstrom
date 日付November 16, 2008 08:31:46 UTC 2008 年 11 月 16 日 (日) 17 時 31 分 46 秒 (日本時間)
composite number 合成数
272847033960040622074723079272278317230415122000585289300524483935019799965138736854378204170492077<99>
prime factors 素因数
99874899971989533339685090697244290059031<41>
2731887932168763902826965323517225176982061431632091727067<58>
factorization results 素因数分解の結果
Number: n
N=272847033960040622074723079272278317230415122000585289300524483935019799965138736854378204170492077
  ( 99 digits)
SNFS difficulty: 117 digits.
Divisors found:

 r1=99874899971989533339685090697244290059031 (pp41)
 r2=2731887932168763902826965323517225176982061431632091727067 (pp58)

Ggnfs  : 0.77.1-20051202-athlon
Msieve : 1.38
Total time:  1.15 hours.
Scaled time: 2.10 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_3_2_115_7
n: 272847033960040622074723079272278317230415122000585289300524483935019799965138736854378204170492077
type: snfs
skew: 0.68
deg: 5
c5: 290
c0: 43
m: 100000000000000000000000
rlim: 500000
alim: 500000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 500000/500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [250000, 390000)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4115193
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 98798 x 99046
Total sieving time: 1.15 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,117,5,0,0,0,0,0,0,0,0,500000,500000,27,27,54,54,2.5,2.5,50000
total time: 1.15 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2008 06:00:00 UTC 2008 年 11 月 13 日 (木) 15 時 0 分 0 秒 (日本時間)

29×10121+439

c87

name 名前Erik Branger
date 日付November 15, 2008 20:28:21 UTC 2008 年 11 月 16 日 (日) 5 時 28 分 21 秒 (日本時間)
composite number 合成数
396090139278262782600209118642442432563590971291144371671691191910055716222928795673401<87>
prime factors 素因数
532697136187481881341266254372747070933<39>
743555976503052776395768756045694514223915261397<48>
factorization results 素因数分解の結果
Sat Nov 15 20:07:42 2008  Msieve v. 1.38
Sat Nov 15 20:07:42 2008  random seeds: a4ecc3a8 54553869
Sat Nov 15 20:07:42 2008  factoring 396090139278262782600209118642442432563590971291144371671691191910055716222928795673401 (87 digits)
Sat Nov 15 20:07:43 2008  searching for 15-digit factors
Sat Nov 15 20:07:44 2008  commencing quadratic sieve (87-digit input)
Sat Nov 15 20:07:44 2008  using multiplier of 19
Sat Nov 15 20:07:44 2008  using 32kb Intel Core sieve core
Sat Nov 15 20:07:44 2008  sieve interval: 20 blocks of size 32768
Sat Nov 15 20:07:44 2008  processing polynomials in batches of 11
Sat Nov 15 20:07:44 2008  using a sieve bound of 1485751 (56667 primes)
Sat Nov 15 20:07:44 2008  using large prime bound of 118860080 (26 bits)
Sat Nov 15 20:07:44 2008  using double large prime bound of 342818857657760 (42-49 bits)
Sat Nov 15 20:07:44 2008  using trial factoring cutoff of 49 bits
Sat Nov 15 20:07:44 2008  polynomial 'A' values have 11 factors
Sat Nov 15 20:59:12 2008  56965 relations (15586 full + 41379 combined from 598785 partial), need 56763
Sat Nov 15 20:59:12 2008  begin with 614371 relations
Sat Nov 15 20:59:13 2008  reduce to 137532 relations in 9 passes
Sat Nov 15 20:59:13 2008  attempting to read 137532 relations
Sat Nov 15 20:59:14 2008  recovered 137532 relations
Sat Nov 15 20:59:14 2008  recovered 118192 polynomials
Sat Nov 15 20:59:15 2008  attempting to build 56965 cycles
Sat Nov 15 20:59:15 2008  found 56965 cycles in 5 passes
Sat Nov 15 20:59:15 2008  distribution of cycle lengths:
Sat Nov 15 20:59:15 2008     length 1 : 15586
Sat Nov 15 20:59:15 2008     length 2 : 11049
Sat Nov 15 20:59:15 2008     length 3 : 9917
Sat Nov 15 20:59:15 2008     length 4 : 7588
Sat Nov 15 20:59:15 2008     length 5 : 5204
Sat Nov 15 20:59:15 2008     length 6 : 3481
Sat Nov 15 20:59:15 2008     length 7 : 1910
Sat Nov 15 20:59:15 2008     length 9+: 2230
Sat Nov 15 20:59:15 2008  largest cycle: 19 relations
Sat Nov 15 20:59:15 2008  matrix is 56667 x 56965 (13.6 MB) with weight 3346291 (58.74/col)
Sat Nov 15 20:59:15 2008  sparse part has weight 3346291 (58.74/col)
Sat Nov 15 20:59:15 2008  filtering completed in 3 passes
Sat Nov 15 20:59:15 2008  matrix is 52509 x 52573 (12.7 MB) with weight 3107546 (59.11/col)
Sat Nov 15 20:59:15 2008  sparse part has weight 3107546 (59.11/col)
Sat Nov 15 20:59:15 2008  saving the first 48 matrix rows for later
Sat Nov 15 20:59:15 2008  matrix is 52461 x 52573 (8.5 MB) with weight 2464123 (46.87/col)
Sat Nov 15 20:59:15 2008  sparse part has weight 1915121 (36.43/col)
Sat Nov 15 20:59:15 2008  matrix includes 64 packed rows
Sat Nov 15 20:59:15 2008  using block size 21029 for processor cache size 2048 kB
Sat Nov 15 20:59:16 2008  commencing Lanczos iteration
Sat Nov 15 20:59:16 2008  memory use: 8.1 MB
Sat Nov 15 20:59:32 2008  lanczos halted after 831 iterations (dim = 52457)
Sat Nov 15 20:59:33 2008  recovered 16 nontrivial dependencies
Sat Nov 15 20:59:34 2008  prp39 factor: 532697136187481881341266254372747070933
Sat Nov 15 20:59:34 2008  prp48 factor: 743555976503052776395768756045694514223915261397
Sat Nov 15 20:59:34 2008  elapsed time 00:51:52
software ソフトウェア
Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2008 06:00:00 UTC 2008 年 11 月 13 日 (木) 15 時 0 分 0 秒 (日本時間)

29×10122+439

c90

name 名前Sinkiti Sibata
date 日付November 16, 2008 01:12:43 UTC 2008 年 11 月 16 日 (日) 10 時 12 分 43 秒 (日本時間)
composite number 合成数
141525123951220266571496944533675051004574403815120627762290662529117960797405243118916087<90>
prime factors 素因数
9577067301489216188060274467072296429<37>
14777501242913200839830140856588531939556504474729203<53>
factorization results 素因数分解の結果
Sun Nov 16 08:29:56 2008  Msieve v. 1.38
Sun Nov 16 08:29:56 2008  random seeds: 4209dae2 8044089e
Sun Nov 16 08:29:56 2008  factoring 141525123951220266571496944533675051004574403815120627762290662529117960797405243118916087 (90 digits)
Sun Nov 16 08:29:57 2008  searching for 15-digit factors
Sun Nov 16 08:29:58 2008  commencing quadratic sieve (90-digit input)
Sun Nov 16 08:29:58 2008  using multiplier of 23
Sun Nov 16 08:29:58 2008  using 32kb Intel Core sieve core
Sun Nov 16 08:29:58 2008  sieve interval: 35 blocks of size 32768
Sun Nov 16 08:29:58 2008  processing polynomials in batches of 6
Sun Nov 16 08:29:58 2008  using a sieve bound of 1569301 (59667 primes)
Sun Nov 16 08:29:58 2008  using large prime bound of 125544080 (26 bits)
Sun Nov 16 08:29:58 2008  using double large prime bound of 378297205588960 (42-49 bits)
Sun Nov 16 08:29:58 2008  using trial factoring cutoff of 49 bits
Sun Nov 16 08:29:58 2008  polynomial 'A' values have 12 factors
Sun Nov 16 09:47:59 2008  60278 relations (15890 full + 44388 combined from 633235 partial), need 59763
Sun Nov 16 09:48:02 2008  begin with 649125 relations
Sun Nov 16 09:48:02 2008  reduce to 146863 relations in 9 passes
Sun Nov 16 09:48:02 2008  attempting to read 146863 relations
Sun Nov 16 09:48:05 2008  recovered 146863 relations
Sun Nov 16 09:48:05 2008  recovered 126298 polynomials
Sun Nov 16 09:48:05 2008  attempting to build 60278 cycles
Sun Nov 16 09:48:05 2008  found 60278 cycles in 5 passes
Sun Nov 16 09:48:05 2008  distribution of cycle lengths:
Sun Nov 16 09:48:05 2008     length 1 : 15890
Sun Nov 16 09:48:05 2008     length 2 : 11426
Sun Nov 16 09:48:05 2008     length 3 : 10906
Sun Nov 16 09:48:05 2008     length 4 : 7999
Sun Nov 16 09:48:05 2008     length 5 : 5805
Sun Nov 16 09:48:05 2008     length 6 : 3659
Sun Nov 16 09:48:05 2008     length 7 : 2092
Sun Nov 16 09:48:05 2008     length 9+: 2501
Sun Nov 16 09:48:05 2008  largest cycle: 18 relations
Sun Nov 16 09:48:05 2008  matrix is 59667 x 60278 (14.6 MB) with weight 3598260 (59.69/col)
Sun Nov 16 09:48:05 2008  sparse part has weight 3598260 (59.69/col)
Sun Nov 16 09:48:06 2008  filtering completed in 3 passes
Sun Nov 16 09:48:06 2008  matrix is 55839 x 55903 (13.6 MB) with weight 3338960 (59.73/col)
Sun Nov 16 09:48:06 2008  sparse part has weight 3338960 (59.73/col)
Sun Nov 16 09:48:06 2008  saving the first 48 matrix rows for later
Sun Nov 16 09:48:06 2008  matrix is 55791 x 55903 (8.5 MB) with weight 2604416 (46.59/col)
Sun Nov 16 09:48:06 2008  sparse part has weight 1900399 (33.99/col)
Sun Nov 16 09:48:06 2008  matrix includes 64 packed rows
Sun Nov 16 09:48:06 2008  using block size 22361 for processor cache size 2048 kB
Sun Nov 16 09:48:07 2008  commencing Lanczos iteration
Sun Nov 16 09:48:07 2008  memory use: 8.4 MB
Sun Nov 16 09:48:25 2008  lanczos halted after 884 iterations (dim = 55787)
Sun Nov 16 09:48:25 2008  recovered 16 nontrivial dependencies
Sun Nov 16 09:48:26 2008  prp37 factor: 9577067301489216188060274467072296429
Sun Nov 16 09:48:26 2008  prp53 factor: 14777501242913200839830140856588531939556504474729203
Sun Nov 16 09:48:26 2008  elapsed time 01:18:30

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2008 06:00:00 UTC 2008 年 11 月 13 日 (木) 15 時 0 分 0 秒 (日本時間)

29×10125+439

c96

name 名前Sinkiti Sibata
date 日付November 16, 2008 09:26:05 UTC 2008 年 11 月 16 日 (日) 18 時 26 分 5 秒 (日本時間)
composite number 合成数
412872021192156140734203756448061606220965801339505983006757502536443923903739248267452537848119<96>
prime factors 素因数
56859860542308708942407652168957800861<38>
7261221136568621182260260341158450281310685998983145054179<58>
factorization results 素因数分解の結果
Sun Nov 16 13:04:27 2008  Msieve v. 1.38
Sun Nov 16 13:04:27 2008  random seeds: c8c1a59c 298fb242
Sun Nov 16 13:04:27 2008  factoring 412872021192156140734203756448061606220965801339505983006757502536443923903739248267452537848119 (96 digits)
Sun Nov 16 13:04:28 2008  searching for 15-digit factors
Sun Nov 16 13:04:30 2008  commencing quadratic sieve (96-digit input)
Sun Nov 16 13:04:30 2008  using multiplier of 1
Sun Nov 16 13:04:30 2008  using 32kb Intel Core sieve core
Sun Nov 16 13:04:30 2008  sieve interval: 36 blocks of size 32768
Sun Nov 16 13:04:30 2008  processing polynomials in batches of 6
Sun Nov 16 13:04:30 2008  using a sieve bound of 2259407 (83529 primes)
Sun Nov 16 13:04:30 2008  using large prime bound of 338911050 (28 bits)
Sun Nov 16 13:04:30 2008  using double large prime bound of 2260238461776000 (43-52 bits)
Sun Nov 16 13:04:30 2008  using trial factoring cutoff of 52 bits
Sun Nov 16 13:04:30 2008  polynomial 'A' values have 12 factors
Sun Nov 16 18:14:23 2008  83838 relations (19958 full + 63880 combined from 1275546 partial), need 83625
Sun Nov 16 18:14:25 2008  begin with 1295504 relations
Sun Nov 16 18:14:26 2008  reduce to 223204 relations in 10 passes
Sun Nov 16 18:14:26 2008  attempting to read 223204 relations
Sun Nov 16 18:14:29 2008  recovered 223204 relations
Sun Nov 16 18:14:29 2008  recovered 209662 polynomials
Sun Nov 16 18:14:30 2008  attempting to build 83838 cycles
Sun Nov 16 18:14:30 2008  found 83838 cycles in 7 passes
Sun Nov 16 18:14:30 2008  distribution of cycle lengths:
Sun Nov 16 18:14:30 2008     length 1 : 19958
Sun Nov 16 18:14:30 2008     length 2 : 14066
Sun Nov 16 18:14:30 2008     length 3 : 13727
Sun Nov 16 18:14:30 2008     length 4 : 11385
Sun Nov 16 18:14:30 2008     length 5 : 8736
Sun Nov 16 18:14:30 2008     length 6 : 6200
Sun Nov 16 18:14:30 2008     length 7 : 3978
Sun Nov 16 18:14:30 2008     length 9+: 5788
Sun Nov 16 18:14:30 2008  largest cycle: 21 relations
Sun Nov 16 18:14:30 2008  matrix is 83529 x 83838 (23.5 MB) with weight 5822185 (69.45/col)
Sun Nov 16 18:14:30 2008  sparse part has weight 5822185 (69.45/col)
Sun Nov 16 18:14:31 2008  filtering completed in 3 passes
Sun Nov 16 18:14:31 2008  matrix is 80047 x 80111 (22.5 MB) with weight 5581828 (69.68/col)
Sun Nov 16 18:14:31 2008  sparse part has weight 5581828 (69.68/col)
Sun Nov 16 18:14:31 2008  saving the first 48 matrix rows for later
Sun Nov 16 18:14:32 2008  matrix is 79999 x 80111 (16.0 MB) with weight 4614078 (57.60/col)
Sun Nov 16 18:14:32 2008  sparse part has weight 3704461 (46.24/col)
Sun Nov 16 18:14:32 2008  matrix includes 64 packed rows
Sun Nov 16 18:14:32 2008  using block size 32044 for processor cache size 1024 kB
Sun Nov 16 18:14:32 2008  commencing Lanczos iteration
Sun Nov 16 18:14:32 2008  memory use: 14.3 MB
Sun Nov 16 18:15:26 2008  lanczos halted after 1267 iterations (dim = 79997)
Sun Nov 16 18:15:26 2008  recovered 17 nontrivial dependencies
Sun Nov 16 18:15:29 2008  prp38 factor: 56859860542308708942407652168957800861
Sun Nov 16 18:15:29 2008  prp58 factor: 7261221136568621182260260341158450281310685998983145054179
Sun Nov 16 18:15:29 2008  elapsed time 05:11:02

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2008 06:00:00 UTC 2008 年 11 月 13 日 (木) 15 時 0 分 0 秒 (日本時間)

29×10127+439

c106

name 名前Sinkiti Sibata
date 日付November 16, 2008 19:54:34 UTC 2008 年 11 月 17 日 (月) 4 時 54 分 34 秒 (日本時間)
composite number 合成数
3994752582055060728308608112517264856218214939170946070765465949859566855109944727334903191216111059688183<106>
prime factors 素因数
6579167382533500938426829892675558224130541575894473<52>
607182087000918396013785605242613558361173964633582271<54>
factorization results 素因数分解の結果
Number: 32227_127
N=3994752582055060728308608112517264856218214939170946070765465949859566855109944727334903191216111059688183
  ( 106 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=6579167382533500938426829892675558224130541575894473 (pp52)
 r2=607182087000918396013785605242613558361173964633582271 (pp54)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 5.72 hours.
Scaled time: 2.71 units (timescale=0.473).
Factorization parameters were as follows:
name: 32227_127
n: 3994752582055060728308608112517264856218214939170946070765465949859566855109944727334903191216111059688183
m: 20000000000000000000000000
deg: 5
c5: 725
c0: 344
skew: 0.86
type: snfs
lss: 1
rlim: 1000000
alim: 1000000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [500000, 1000001)
Primes: RFBsize:78498, AFBsize:78406, largePrimes:2713685 encountered
Relations: rels:2627655, finalFF:216772
Max relations in full relation-set: 28
Initial matrix: 156971 x 216772 with sparse part having weight 17221769.
Pruned matrix : 142113 x 142961 with weight 8478682.
Total sieving time: 5.27 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.29 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,129,5,0,0,0,0,0,0,0,0,1000000,1000000,26,26,47,47,2.3,2.3,50000
total time: 5.72 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
3025e4430Makoto KamadaNovember 13, 2008 06:00:00 UTC 2008 年 11 月 13 日 (木) 15 時 0 分 0 秒 (日本時間)

29×10128+439

c106

name 名前Jo Yeong Uk
date 日付November 16, 2008 09:41:16 UTC 2008 年 11 月 16 日 (日) 18 時 41 分 16 秒 (日本時間)
composite number 合成数
1881783284697744368427137799251912955332064804310096537998332492135742752227798084851148356130562403633209<106>
prime factors 素因数
185807551282157802207924187206548772493<39>
10127593155997007580574631471356904823047086838039899837659475915613<68>
factorization results 素因数分解の結果
Number: 32227_128
N=1881783284697744368427137799251912955332064804310096537998332492135742752227798084851148356130562403633209
  ( 106 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=185807551282157802207924187206548772493 (pp39)
 r2=10127593155997007580574631471356904823047086838039899837659475915613 (pp68)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 2.50 hours.
Scaled time: 5.99 units (timescale=2.393).
Factorization parameters were as follows:
n: 1881783284697744368427137799251912955332064804310096537998332492135742752227798084851148356130562403633209
m: 100000000000000000000000000
deg: 5
c5: 29
c0: 4300
skew: 2.72
type: snfs
rlim: 1100000
alim: 1100000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1100000/1100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved algebraic special-q in [550000, 1100001)
Primes: RFBsize:85714, AFBsize:85364, largePrimes:2902642 encountered
Relations: rels:2851314, finalFF:251074
Max relations in full relation-set: 28
Initial matrix: 171145 x 251074 with sparse part having weight 20525122.
Pruned matrix : 148506 x 149425 with weight 9532221.
Total sieving time: 2.38 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,1100000,1100000,26,26,47,47,2.3,2.3,50000
total time: 2.50 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: 8047068k/8912896k available (2460k kernel code, 339224k reserved, 1251k data, 196k init)
Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673803)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672384)
Calibrating delay using timer specific routine.. 5497.76 BogoMIPS (lpj=2748880)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672347)
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2008 06:00:00 UTC 2008 年 11 月 13 日 (木) 15 時 0 分 0 秒 (日本時間)

29×10129+439

c100

name 名前Jo Yeong Uk
date 日付November 16, 2008 16:43:44 UTC 2008 年 11 月 17 日 (月) 1 時 43 分 44 秒 (日本時間)
composite number 合成数
2092409166136386713511344885436572573281938920501205545052096177131300751195392629414994502939661967<100>
prime factors 素因数
197169997628234206028002430469013231337207<42>
10612208709773598061794748776121946417518003303981281232681<59>
factorization results 素因数分解の結果
Number: 32227_129
N=2092409166136386713511344885436572573281938920501205545052096177131300751195392629414994502939661967
  ( 100 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=197169997628234206028002430469013231337207 (pp42)
 r2=10612208709773598061794748776121946417518003303981281232681 (pp59)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 2.60 hours.
Scaled time: 6.17 units (timescale=2.374).
Factorization parameters were as follows:
n: 2092409166136386713511344885436572573281938920501205545052096177131300751195392629414994502939661967
m: 100000000000000000000000000
deg: 5
c5: 29
c0: 430
skew: 1.71
type: snfs
rlim: 1100000
alim: 1100000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1100000/1100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved algebraic special-q in [550000, 1100001)
Primes: RFBsize:85714, AFBsize:85644, largePrimes:2923915 encountered
Relations: rels:2858952, finalFF:236548
Max relations in full relation-set: 28
Initial matrix: 171423 x 236548 with sparse part having weight 19778267.
Pruned matrix : 153220 x 154141 with weight 10177188.
Total sieving time: 2.46 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,1100000,1100000,26,26,47,47,2.3,2.3,50000
total time: 2.60 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: 8047068k/8912896k available (2460k kernel code, 339224k reserved, 1251k data, 196k init)
Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673803)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672384)
Calibrating delay using timer specific routine.. 5497.76 BogoMIPS (lpj=2748880)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672347)
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2008 06:00:00 UTC 2008 年 11 月 13 日 (木) 15 時 0 分 0 秒 (日本時間)

29×10130+439

c124

name 名前Sinkiti Sibata
date 日付November 16, 2008 01:23:58 UTC 2008 年 11 月 16 日 (日) 10 時 23 分 58 秒 (日本時間)
composite number 合成数
5000378218262819292900654399497424055160861908641262227886098901997983881987763453763304476150635738603194003656793833699111<124>
prime factors 素因数
6563660505566349382251069574930863659<37>
761827674362837670889483686123403408305860263945563318952163418498829415650821416567029<87>
factorization results 素因数分解の結果
Number: 32227_130
N=5000378218262819292900654399497424055160861908641262227886098901997983881987763453763304476150635738603194003656793833699111
  ( 124 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=6563660505566349382251069574930863659 (pp37)
 r2=761827674362837670889483686123403408305860263945563318952163418498829415650821416567029 (pp87)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 5.65 hours.
Scaled time: 5.68 units (timescale=1.006).
Factorization parameters were as follows:
name: 32227_130
n: 5000378218262819292900654399497424055160861908641262227886098901997983881987763453763304476150635738603194003656793833699111
m: 100000000000000000000000000
deg: 5
c5: 29
c0: 43
skew: 1.08
type: snfs
lss: 1
rlim: 1090000
alim: 1090000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1090000/1090000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [545000, 995001)
Primes: RFBsize:84976, AFBsize:85268, largePrimes:3648337 encountered
Relations: rels:4312746, finalFF:913559
Max relations in full relation-set: 28
Initial matrix: 170309 x 913559 with sparse part having weight 70893609.
Pruned matrix : 105040 x 105955 with weight 10185065.
Total sieving time: 5.52 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,1090000,1090000,26,26,47,47,2.3,2.3,50000
total time: 5.65 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2008 06:00:00 UTC 2008 年 11 月 13 日 (木) 15 時 0 分 0 秒 (日本時間)

29×10131+439

c131

name 名前Robert Backstrom
date 日付November 16, 2008 15:25:25 UTC 2008 年 11 月 17 日 (月) 0 時 25 分 25 秒 (日本時間)
composite number 合成数
35802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135803<131>
prime factors 素因数
7584921469716321237382514976833<31>
8330184288131855349587745711089547313<37>
566640068052964565594590690160024017167002613447500354812611307<63>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 35802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135803 (131 digits)
Using B1=472000, B2=348010752, polynomial Dickson(3), sigma=3433028033
Step 1 took 4547ms
Step 2 took 2187ms
********** Factor found in step 2: 7584921469716321237382514976833
Found probable prime factor of 31 digits: 7584921469716321237382514976833
Composite cofactor 4720216191920770700400352407972835561265887236702533952800013993816315322996122970739370238055268091 has 100 digits


Number: n
N=4720216191920770700400352407972835561265887236702533952800013993816315322996122970739370238055268091
  ( 100 digits)
Divisors found:

 r1=8330184288131855349587745711089547313 (pp37)
 r2=566640068052964565594590690160024017167002613447500354812611307 (pp63)

Ggnfs  : 0.77.1-20051202-athlon
Msieve : 1.38
Total time:  3.78 hours.
Scaled time: 6.91 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_3_2_130_7
n: 4720216191920770700400352407972835561265887236702533952800013993816315322996122970739370238055268091
skew: 2650.89
# norm 7.14e+12
c5: 61800
c4: 170288854
c3: -1889121659039
c2: -933543355282307
c1: 5169234448736335351
c0: 141071289371110253349
# alpha -3.69
Y1: 14551090609
Y0: -9475329373998954166
# Murphy_E 3.22e-09
# M 2632774819720813873582616960242094899627781404542663414337763497216335352857576220471051099846799530
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1500000)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4318987
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 195671 x 195919
Total sieving time: 3.78 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 1.
Prototype def-par.txt line would be:
gnfs,99,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 3.78 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2008 06:00:00 UTC 2008 年 11 月 13 日 (木) 15 時 0 分 0 秒 (日本時間)

29×10133+439

c94

name 名前Sinkiti Sibata
date 日付November 16, 2008 10:00:22 UTC 2008 年 11 月 16 日 (日) 19 時 0 分 22 秒 (日本時間)
composite number 合成数
1885835261230963387421169407174891911074651744191347548716932886403570847964280662066637348433<94>
prime factors 素因数
3775743651125883485686895208096141403943177<43>
499460619014383808795366865959525045010382778481929<51>
factorization results 素因数分解の結果
Sun Nov 16 13:14:08 2008  Msieve v. 1.38
Sun Nov 16 13:14:08 2008  random seeds: 1ebe208c e5af2b58
Sun Nov 16 13:14:08 2008  factoring 1885835261230963387421169407174891911074651744191347548716932886403570847964280662066637348433 (94 digits)
Sun Nov 16 13:14:10 2008  searching for 15-digit factors
Sun Nov 16 13:14:11 2008  commencing quadratic sieve (94-digit input)
Sun Nov 16 13:14:12 2008  using multiplier of 1
Sun Nov 16 13:14:12 2008  using 64kb Pentium 4 sieve core
Sun Nov 16 13:14:12 2008  sieve interval: 18 blocks of size 65536
Sun Nov 16 13:14:12 2008  processing polynomials in batches of 6
Sun Nov 16 13:14:12 2008  using a sieve bound of 1984331 (74118 primes)
Sun Nov 16 13:14:12 2008  using large prime bound of 255978699 (27 bits)
Sun Nov 16 13:14:12 2008  using double large prime bound of 1363850668591515 (42-51 bits)
Sun Nov 16 13:14:12 2008  using trial factoring cutoff of 51 bits
Sun Nov 16 13:14:12 2008  polynomial 'A' values have 12 factors
Sun Nov 16 18:51:29 2008  74241 relations (17907 full + 56334 combined from 1041351 partial), need 74214
Sun Nov 16 18:51:33 2008  begin with 1059258 relations
Sun Nov 16 18:51:34 2008  reduce to 194588 relations in 11 passes
Sun Nov 16 18:51:34 2008  attempting to read 194588 relations
Sun Nov 16 18:51:41 2008  recovered 194588 relations
Sun Nov 16 18:51:41 2008  recovered 179574 polynomials
Sun Nov 16 18:51:41 2008  attempting to build 74241 cycles
Sun Nov 16 18:51:42 2008  found 74241 cycles in 6 passes
Sun Nov 16 18:51:42 2008  distribution of cycle lengths:
Sun Nov 16 18:51:42 2008     length 1 : 17907
Sun Nov 16 18:51:42 2008     length 2 : 12882
Sun Nov 16 18:51:42 2008     length 3 : 12370
Sun Nov 16 18:51:42 2008     length 4 : 10061
Sun Nov 16 18:51:42 2008     length 5 : 7799
Sun Nov 16 18:51:42 2008     length 6 : 5175
Sun Nov 16 18:51:42 2008     length 7 : 3426
Sun Nov 16 18:51:42 2008     length 9+: 4621
Sun Nov 16 18:51:42 2008  largest cycle: 23 relations
Sun Nov 16 18:51:42 2008  matrix is 74118 x 74241 (18.5 MB) with weight 4540294 (61.16/col)
Sun Nov 16 18:51:42 2008  sparse part has weight 4540294 (61.16/col)
Sun Nov 16 18:51:43 2008  filtering completed in 3 passes
Sun Nov 16 18:51:43 2008  matrix is 70904 x 70968 (17.8 MB) with weight 4369985 (61.58/col)
Sun Nov 16 18:51:43 2008  sparse part has weight 4369985 (61.58/col)
Sun Nov 16 18:51:44 2008  saving the first 48 matrix rows for later
Sun Nov 16 18:51:44 2008  matrix is 70856 x 70968 (10.5 MB) with weight 3286505 (46.31/col)
Sun Nov 16 18:51:44 2008  sparse part has weight 2322199 (32.72/col)
Sun Nov 16 18:51:44 2008  matrix includes 64 packed rows
Sun Nov 16 18:51:44 2008  using block size 21845 for processor cache size 512 kB
Sun Nov 16 18:51:45 2008  commencing Lanczos iteration
Sun Nov 16 18:51:45 2008  memory use: 10.8 MB
Sun Nov 16 18:52:43 2008  lanczos halted after 1122 iterations (dim = 70852)
Sun Nov 16 18:52:44 2008  recovered 13 nontrivial dependencies
Sun Nov 16 18:52:46 2008  prp43 factor: 3775743651125883485686895208096141403943177
Sun Nov 16 18:52:46 2008  prp51 factor: 499460619014383808795366865959525045010382778481929
Sun Nov 16 18:52:46 2008  elapsed time 05:38:38

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2008 06:00:00 UTC 2008 年 11 月 13 日 (木) 15 時 0 分 0 秒 (日本時間)

29×10134+439

c135

name 名前Jo Yeong Uk
date 日付November 17, 2008 02:59:47 UTC 2008 年 11 月 17 日 (月) 11 時 59 分 47 秒 (日本時間)
composite number 合成数
107407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407409<135>
prime factors 素因数
24372631993284051383227862131227688564753<41>
4406885864317149925873449272788362430802606540713671318887298946932319069202758466259102283553<94>
factorization results 素因数分解の結果
Number: 32227_134
N=107407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407409
  ( 135 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=24372631993284051383227862131227688564753 (pp41)
 r2=4406885864317149925873449272788362430802606540713671318887298946932319069202758466259102283553 (pp94)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 3.94 hours.
Scaled time: 9.40 units (timescale=2.385).
Factorization parameters were as follows:
n: 107407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407409
m: 1000000000000000000000000000
deg: 5
c5: 29
c0: 430
skew: 1.71
type: snfs
rlim: 1400000
alim: 1400000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1400000/1400000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [700000, 1500001)
Primes: RFBsize:107126, AFBsize:107158, largePrimes:3362035 encountered
Relations: rels:3311708, finalFF:255252
Max relations in full relation-set: 28
Initial matrix: 214349 x 255252 with sparse part having weight 22476192.
Pruned matrix : 201959 x 203094 with weight 15236621.
Total sieving time: 3.69 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.18 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,136,5,0,0,0,0,0,0,0,0,1400000,1400000,26,26,48,48,2.3,2.3,50000
total time: 3.94 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: 8047068k/8912896k available (2460k kernel code, 339224k reserved, 1251k data, 196k init)
Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673803)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672384)
Calibrating delay using timer specific routine.. 5497.76 BogoMIPS (lpj=2748880)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672347)
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2008 06:00:00 UTC 2008 年 11 月 13 日 (木) 15 時 0 分 0 秒 (日本時間)

29×10140+439

c123

name 名前Robert Backstrom
date 日付November 17, 2008 13:02:28 UTC 2008 年 11 月 17 日 (月) 22 時 2 分 28 秒 (日本時間)
composite number 合成数
435449334916822004002149338747365465555272793113051889143398338029024260586100943664452029185844079320320641739892874054329<123>
prime factors 素因数
7543301094605391045064977941022620892585184652931249322841<58>
57726627832506193799633496599134618772751262475665405484205686369<65>
factorization results 素因数分解の結果
Number: n
N=435449334916822004002149338747365465555272793113051889143398338029024260586100943664452029185844079320320641739892874054329
  ( 123 digits)
SNFS difficulty: 141 digits.
Divisors found:

 r1=7543301094605391045064977941022620892585184652931249322841 (pp58)
 r2=57726627832506193799633496599134618772751262475665405484205686369 (pp65)

Ggnfs  : 0.77.1-20051202-athlon
Msieve : 1.38
Total time:  3.64 hours.
Scaled time: 6.64 units (timescale=1.823).
Factorization parameters were as follows:
name: KA_3_2_139_7
n: 435449334916822004002149338747365465555272793113051889143398338029024260586100943664452029185844079320320641739892874054329
type: snfs
skew: 1.08
deg: 5
c5: 29
c0: 43
m: 10000000000000000000000000000
rlim: 1200000
alim: 1200000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [600000, 1220000)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 7001824
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 293297 x 293545
Total sieving time: 3.64 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,141,5,0,0,0,0,0,0,0,0,1200000,1200000,27,27,54,54,2.5,2.5,100000
total time: 3.64 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
3025e4430Makoto KamadaNovember 13, 2008 06:00:00 UTC 2008 年 11 月 13 日 (木) 15 時 0 分 0 秒 (日本時間)

29×10142+439

c104

name 名前Sinkiti Sibata
date 日付November 18, 2008 07:30:25 UTC 2008 年 11 月 18 日 (火) 16 時 30 分 25 秒 (日本時間)
composite number 合成数
12416238058218819166824114540569901613579126526613903387203375857785433658967700039267592952549188609789<104>
prime factors 素因数
11669805408573726208797777707700553<35>
1063962733182911001767833547303540722494502663962209251203781021064213<70>
factorization results 素因数分解の結果
Mon Nov 17 14:13:57 2008  Msieve v. 1.38
Mon Nov 17 14:13:57 2008  random seeds: 514256f8 8e3d4afb
Mon Nov 17 14:13:57 2008  factoring 12416238058218819166824114540569901613579126526613903387203375857785433658967700039267592952549188609789 (104 digits)
Mon Nov 17 14:13:58 2008  searching for 15-digit factors
Mon Nov 17 14:13:59 2008  commencing quadratic sieve (104-digit input)
Mon Nov 17 14:14:00 2008  using multiplier of 1
Mon Nov 17 14:14:00 2008  using 32kb Intel Core sieve core
Mon Nov 17 14:14:00 2008  sieve interval: 36 blocks of size 32768
Mon Nov 17 14:14:00 2008  processing polynomials in batches of 6
Mon Nov 17 14:14:00 2008  using a sieve bound of 3575519 (127357 primes)
Mon Nov 17 14:14:00 2008  using large prime bound of 536327850 (28 bits)
Mon Nov 17 14:14:00 2008  using double large prime bound of 5163861615140850 (44-53 bits)
Mon Nov 17 14:14:00 2008  using trial factoring cutoff of 53 bits
Mon Nov 17 14:14:00 2008  polynomial 'A' values have 13 factors
Tue Nov 18 16:04:28 2008  127591 relations (30004 full + 97587 combined from 1915668 partial), need 127453
Tue Nov 18 16:04:31 2008  begin with 1945672 relations
Tue Nov 18 16:04:33 2008  reduce to 338988 relations in 12 passes
Tue Nov 18 16:04:33 2008  attempting to read 338988 relations
Tue Nov 18 16:04:39 2008  recovered 338988 relations
Tue Nov 18 16:04:39 2008  recovered 331435 polynomials
Tue Nov 18 16:04:40 2008  attempting to build 127591 cycles
Tue Nov 18 16:04:40 2008  found 127591 cycles in 6 passes
Tue Nov 18 16:04:40 2008  distribution of cycle lengths:
Tue Nov 18 16:04:40 2008     length 1 : 30004
Tue Nov 18 16:04:40 2008     length 2 : 21534
Tue Nov 18 16:04:40 2008     length 3 : 21139
Tue Nov 18 16:04:40 2008     length 4 : 17316
Tue Nov 18 16:04:40 2008     length 5 : 13424
Tue Nov 18 16:04:40 2008     length 6 : 9343
Tue Nov 18 16:04:40 2008     length 7 : 6168
Tue Nov 18 16:04:40 2008     length 9+: 8663
Tue Nov 18 16:04:40 2008  largest cycle: 22 relations
Tue Nov 18 16:04:41 2008  matrix is 127357 x 127591 (37.6 MB) with weight 9357482 (73.34/col)
Tue Nov 18 16:04:41 2008  sparse part has weight 9357482 (73.34/col)
Tue Nov 18 16:04:42 2008  filtering completed in 3 passes
Tue Nov 18 16:04:42 2008  matrix is 122629 x 122693 (36.4 MB) with weight 9050763 (73.77/col)
Tue Nov 18 16:04:42 2008  sparse part has weight 9050763 (73.77/col)
Tue Nov 18 16:04:43 2008  saving the first 48 matrix rows for later
Tue Nov 18 16:04:44 2008  matrix is 122581 x 122693 (26.3 MB) with weight 7597616 (61.92/col)
Tue Nov 18 16:04:44 2008  sparse part has weight 6160501 (50.21/col)
Tue Nov 18 16:04:44 2008  matrix includes 64 packed rows
Tue Nov 18 16:04:44 2008  using block size 43690 for processor cache size 1024 kB
Tue Nov 18 16:04:45 2008  commencing Lanczos iteration
Tue Nov 18 16:04:45 2008  memory use: 23.3 MB
Tue Nov 18 16:06:57 2008  lanczos halted after 1940 iterations (dim = 122581)
Tue Nov 18 16:06:57 2008  recovered 17 nontrivial dependencies
Tue Nov 18 16:06:58 2008  prp35 factor: 11669805408573726208797777707700553
Tue Nov 18 16:06:58 2008  prp70 factor: 1063962733182911001767833547303540722494502663962209251203781021064213
Tue Nov 18 16:06:58 2008  elapsed time 25:53:01
execution environment 実行環境
binary, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2008 06:00:00 UTC 2008 年 11 月 13 日 (木) 15 時 0 分 0 秒 (日本時間)

29×10145+439

c121

name 名前Jo Yeong Uk
date 日付November 16, 2008 16:49:27 UTC 2008 年 11 月 17 日 (月) 1 時 49 分 27 秒 (日本時間)
composite number 合成数
1010299988371477397292104639607664043256850275108263217380788857381139510032913034000182354177943480725818782472949291751<121>
prime factors 素因数
10247291001622018635859955972609<32>
98591909628755490844286807124291083231007250711599438141935321983826363535987763218040039<89>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.3] [ECM]
Input number is 1010299988371477397292104639607664043256850275108263217380788857381139510032913034000182354177943480725818782472949291751 (121 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1291799851
Step 1 took 4555ms
Step 2 took 4149ms
********** Factor found in step 2: 10247291001622018635859955972609
Found probable prime factor of 32 digits: 10247291001622018635859955972609
Probable prime cofactor 98591909628755490844286807124291083231007250711599438141935321983826363535987763218040039 has 89 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
3025e4430Makoto KamadaNovember 13, 2008 06:00:00 UTC 2008 年 11 月 13 日 (木) 15 時 0 分 0 秒 (日本時間)

29×10150+439

c149

name 名前Serge Batalov
date 日付November 16, 2008 11:04:16 UTC 2008 年 11 月 16 日 (日) 20 時 4 分 16 秒 (日本時間)
composite number 合成数
38821954484605087014725568942436412315930388219544846050870147255689424364123159303882195448460508701472556894243641231593038821954484605087014725569<149>
prime factors 素因数
13184528625225371145509156973829622318872182632582330804323609162489<68>
2944508339139919747974481716312002253485663596863910707778125382058769232843539721<82>
factorization results 素因数分解の結果
SNFS difficulty: 151 digits.
Divisors found:
 r1=13184528625225371145509156973829622318872182632582330804323609162489 (pp68)
 r2=2944508339139919747974481716312002253485663596863910707778125382058769232843539721 (pp82)
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.725).
Factorization parameters were as follows:
n: 38821954484605087014725568942436412315930388219544846050870147255689424364123159303882195448460508701472556894243641231593038821954484605087014725569
m: 1000000000000000000000000000000
deg: 5
c5: 29
c0: 43
skew: 1.08
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved rational special-q in [1150000, 1650001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 515146 x 515385
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,54,54,2.5,2.5,100000
total time: 13.00 hours.
software ソフトウェア
Msieve-1.38
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2008 06:00:00 UTC 2008 年 11 月 13 日 (木) 15 時 0 分 0 秒 (日本時間)

29×10151+439

c147

name 名前Serge Batalov
date 日付November 16, 2008 00:10:29 UTC 2008 年 11 月 16 日 (日) 9 時 10 分 29 秒 (日本時間)
composite number 合成数
495094298391626418914650864622439380824827101120449613911808340460984008454161950466669056777072695207999358084633809477470648590603110216526930569<147>
prime factors 素因数
15563627912986965137034736448411<32>
composite cofactor 合成数の残り
31810982706576934772998608605741160071516082639197877089858403102494412714121865479732665846484350034366517761515179<116>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1187595953
Step 1 took 18643ms
Step 2 took 14422ms
********** Factor found in step 2: 15563627912986965137034736448411
Found probable prime factor of 32 digits: 15563627912986965137034736448411
Composite cofactor 31810982706576934772998608605741160071516082639197877089858403102494412714121865479732665846484350034366517761515179 has 116 digits
software ソフトウェア
GMP-ECM 6.2.1

c116

name 名前Robert Backstrom
date 日付November 21, 2008 09:22:35 UTC 2008 年 11 月 21 日 (金) 18 時 22 分 35 秒 (日本時間)
composite number 合成数
31810982706576934772998608605741160071516082639197877089858403102494412714121865479732665846484350034366517761515179<116>
prime factors 素因数
975096392303048933102454301118670269267371089773626501<54>
32623423650910648679172594020763946317343258487506521412621679<62>
factorization results 素因数分解の結果
Number: n
N=31810982706576934772998608605741160071516082639197877089858403102494412714121865479732665846484350034366517761515179
  ( 116 digits)
SNFS difficulty: 152 digits.
Divisors found:

Fri Nov 21 20:16:11 2008  prp54 factor: 975096392303048933102454301118670269267371089773626501
Fri Nov 21 20:16:11 2008  prp62 factor: 32623423650910648679172594020763946317343258487506521412621679
Fri Nov 21 20:16:11 2008  elapsed time 00:07:22 (Msieve 1.38)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 19.51 hours.
Scaled time: 28.33 units (timescale=1.452).
Factorization parameters were as follows:
name: KA_3_2_150_7
n: 31810982706576934772998608605741160071516082639197877089858403102494412714121865479732665846484350034366517761515179
type: snfs
skew: 0.68
deg: 5
c5: 290
c0: 43
m: 1000000000000000000000000000000
rlim: 2200000
alim: 2200000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 1000001)
Primes: RFBsize:162662, AFBsize:162100, largePrimes:10824027 encountered
Relations: rels:9422016, finalFF:331070
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 19.24 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,152,5,0,0,0,0,0,0,0,0,2200000,2200000,28,28,56,56,2.5,2.5,100000
total time: 19.51 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2008 06:00:00 UTC 2008 年 11 月 13 日 (木) 15 時 0 分 0 秒 (日本時間)

29×10152+439

c142

name 名前Serge Batalov
date 日付November 16, 2008 00:45:27 UTC 2008 年 11 月 16 日 (日) 9 時 45 分 27 秒 (日本時間)
composite number 合成数
2665431853037400701235561665160434724848233130889397437692752970241808669515794875313032848399530413964994828950353476630437369101106941569841<142>
prime factors 素因数
17122663123552071584377558151<29>
composite cofactor 合成数の残り
155666897947149516564762656348434456049373366190782014151391987567686593948726747795044131944426787108190772013191<114>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3087136349
Step 1 took 18829ms
Step 2 took 13886ms
********** Factor found in step 2: 17122663123552071584377558151
Found probable prime factor of 29 digits: 17122663123552071584377558151
Composite cofactor 155666897947149516564762656348434456049373366190782014151391987567686593948726747795044131944426787108190772013191 has 114 digits
software ソフトウェア
GMP-ECM 6.2.1

c114

name 名前Robert Backstrom
date 日付November 21, 2008 08:34:30 UTC 2008 年 11 月 21 日 (金) 17 時 34 分 30 秒 (日本時間)
composite number 合成数
155666897947149516564762656348434456049373366190782014151391987567686593948726747795044131944426787108190772013191<114>
prime factors 素因数
220220544173356641441005461809174158519<39>
706868192209211965355505466528845063936170712012029710240294391113595495089<75>
factorization results 素因数分解の結果
Number: n
N=155666897947149516564762656348434456049373366190782014151391987567686593948726747795044131944426787108190772013191
  ( 114 digits)
Divisors found:
 r1=220220544173356641441005461809174158519 (pp39)
 r2=706868192209211965355505466528845063936170712012029710240294391113595495089 (pp75)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 26.06 hours.
Scaled time: 53.11 units (timescale=2.038).
Factorization parameters were as follows:
name: KA_3_2_151_7
n: 155666897947149516564762656348434456049373366190782014151391987567686593948726747795044131944426787108190772013191
skew: 40305.29
# norm 4.06e+15
c5: 33600
c4: 662166430
c3: -119500018998054
c2: -5194326731023833722
c1: 90592809296439845948331
c0: -5694511903865148553261982
# alpha -6.17
Y1: 1852807172777
Y0: -5409670490352917931165
# Murphy_E 6.68e-10
# M 23888537930743219166264097391624569843008903802972367072493419719091397771460949961003863560930060113166770635755
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 [100000, 1300001)
Primes: RFBsize:250150, AFBsize:250862, largePrimes:6935471 encountered
Relations: rels:6699692, finalFF:603533
Max relations in full relation-set: 28
Initial matrix: 501089 x 603533 with sparse part having weight 37743944.
Pruned matrix : 402062 x 404631 with weight 18813363.
Polynomial selection time: 2.34 hours.
Total sieving time: 22.66 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 0.69 hours.
Total square root time: 0.16 hours, sqrts: 1.
Prototype def-par.txt line would be:
gnfs,113,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 26.06 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2008 06:00:00 UTC 2008 年 11 月 13 日 (木) 15 時 0 分 0 秒 (日本時間)

29×10154+439

c147

name 名前Serge Batalov
date 日付November 16, 2008 00:13:17 UTC 2008 年 11 月 16 日 (日) 9 時 13 分 17 秒 (日本時間)
composite number 合成数
303346210055683558765017035143870773769749032046563710188917921317836187174205712765827239398244257031507356407622214529571539492884195085366084791<147>
prime factors 素因数
39419331049028519665646376229<29>
7695366765062327363947327794059688249986301193294977945234544298004013084172419459774322031488971864398013417772286379<118>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=39788821
Step 1 took 18634ms
Step 2 took 14366ms
********** Factor found in step 2: 39419331049028519665646376229
Found probable prime factor of 29 digits: 39419331049028519665646376229
Probable prime cofactor 7695366765062327363947327794059688249986301193294977945234544298004013084172419459774322031488971864398013417772286379 has 118 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2008 06:00:00 UTC 2008 年 11 月 13 日 (木) 15 時 0 分 0 秒 (日本時間)

29×10155+439

c116

name 名前Erik Branger
date 日付November 19, 2008 16:22:30 UTC 2008 年 11 月 20 日 (木) 1 時 22 分 30 秒 (日本時間)
composite number 合成数
20160584044805740899471140024147275272088678695425246681184859208290589691014527207371887769660562776824980261454329<116>
prime factors 素因数
29920707085237350653801260567698459993581560517223127<53>
673800388051418068178170290945972346896872151144996313704183727<63>
factorization results 素因数分解の結果
Number: 32227_155
N=20160584044805740899471140024147275272088678695425246681184859208290589691014527207371887769660562776824980261454329
  ( 116 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=29920707085237350653801260567698459993581560517223127
 r2=673800388051418068178170290945972346896872151144996313704183727
Version: 
Total time: 23.30 hours.
Scaled time: 48.98 units (timescale=2.102).
Factorization parameters were as follows:
n: 20160584044805740899471140024147275272088678695425246681184859208290589691014527207371887769660562776824980261454329
m: 10000000000000000000000000000000
deg: 5
c5: 29
c0: 43
skew: 1.08
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, 2200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 501993 x 502241
Total sieving time: 23.30 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 23.30 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2008 06:00:00 UTC 2008 年 11 月 13 日 (木) 15 時 0 分 0 秒 (日本時間)
351e6825Erik BrangerNovember 18, 2008 22:33:56 UTC 2008 年 11 月 19 日 (水) 7 時 33 分 56 秒 (日本時間)

29×10156+439

c143

name 名前Serge Batalov
date 日付November 17, 2008 17:33:36 UTC 2008 年 11 月 18 日 (火) 2 時 33 分 36 秒 (日本時間)
composite number 合成数
68053569404700530923170764879185371978510877788928882861160627284981640913973139213450909040663507340468157232348646363524761347762432721098643<143>
prime factors 素因数
1377552754580720316751868668303903781<37>
49401788191707908150553066353759600516135856958908205391836521851420399804418285516707499280068724331113303<107>
factorization results 素因数分解の結果
SNFS difficulty: 157 digits.
Divisors found:
 r1=1377552754580720316751868668303903781 (pp37)
 r2=49401788191707908150553066353759600516135856958908205391836521851420399804418285516707499280068724331113303 (pp107)
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.729).
Factorization parameters were as follows:
n: 68053569404700530923170764879185371978510877788928882861160627284981640913973139213450909040663507340468157232348646363524761347762432721098643
m: 10000000000000000000000000000000
deg: 5
c5: 290
c0: 43
skew: 0.68
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved rational special-q in [1450000, 2650001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 633376 x 633618
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,54,54,2.5,2.5,100000
total time: 28.00 hours.
software ソフトウェア
Msieve-1.38
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2008 06:00:00 UTC 2008 年 11 月 13 日 (木) 15 時 0 分 0 秒 (日本時間)

29×10157+439

c147

name 名前Serge Batalov
date 日付November 16, 2008 00:18:47 UTC 2008 年 11 月 16 日 (日) 9 時 18 分 47 秒 (日本時間)
composite number 合成数
242031326202387716274863999051067305310735436124510221945475378115684346284123397915595150435578556942083292474774314176725609008828024493082947539<147>
prime factors 素因数
120011103804224805681823546153<30>
composite cofactor 合成数の残り
2016741105866467140951604570336781152331001527925371904341000515480857002518308891930313959772708022278077300275998363<118>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3866990487
Step 1 took 18482ms
Step 2 took 14415ms
********** Factor found in step 2: 120011103804224805681823546153
Found probable prime factor of 30 digits: 120011103804224805681823546153
Composite cofactor 2016741105866467140951604570336781152331001527925371904341000515480857002518308891930313959772708022278077300275998363 has 118 digits
software ソフトウェア
GMP-ECM 6.2.1

c118

name 名前Jo Yeong Uk
date 日付November 22, 2008 00:52:33 UTC 2008 年 11 月 22 日 (土) 9 時 52 分 33 秒 (日本時間)
composite number 合成数
2016741105866467140951604570336781152331001527925371904341000515480857002518308891930313959772708022278077300275998363<118>
prime factors 素因数
3779316950432087251769608243853000617761392165509961<52>
533625819775685716703761578486849254082415913206193590187082495683<66>
factorization results 素因数分解の結果
Number: 32227_157
N=2016741105866467140951604570336781152331001527925371904341000515480857002518308891930313959772708022278077300275998363
  ( 118 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=3779316950432087251769608243853000617761392165509961 (pp52)
 r2=533625819775685716703761578486849254082415913206193590187082495683 (pp66)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 28.09 hours.
Scaled time: 66.75 units (timescale=2.376).
Factorization parameters were as follows:
n: 2016741105866467140951604570336781152331001527925371904341000515480857002518308891930313959772708022278077300275998363
m: 10000000000000000000000000000000
deg: 5
c5: 2900
c0: 43
skew: 0.43
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1600000, 3400001)
Primes: RFBsize:230209, AFBsize:230182, largePrimes:8236119 encountered
Relations: rels:8439376, finalFF:550147
Max relations in full relation-set: 28
Initial matrix: 460458 x 550147 with sparse part having weight 61945056.
Pruned matrix : 427466 x 429832 with weight 45595021.
Total sieving time: 26.52 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 1.40 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,50,50,2.4,2.4,100000
total time: 28.09 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: 8047068k/8912896k available (2460k kernel code, 339224k reserved, 1251k data, 196k init)
Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673803)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672384)
Calibrating delay using timer specific routine.. 5497.76 BogoMIPS (lpj=2748880)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672347)
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2008 06:00:00 UTC 2008 年 11 月 13 日 (木) 15 時 0 分 0 秒 (日本時間)

29×10158+439

c147

name 名前Serge Batalov
date 日付November 16, 2008 20:10:44 UTC 2008 年 11 月 17 日 (月) 5 時 10 分 44 秒 (日本時間)
composite number 合成数
131245023249803025844168851298687143050584184243800304137161908218175440522365464334541741464436579904190314323904173136615378333784719217130792021<147>
prime factors 素因数
583872380142192551079643634844427<33>
composite cofactor 合成数の残り
224783750205550827667498520536546643814178594317883134181700329233660310038101302061860511369018574239773131182623<114>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2559564766
Step 1 took 15907ms
Step 2 took 12072ms
********** Factor found in step 2: 583872380142192551079643634844427
Found probable prime factor of 33 digits: 583872380142192551079643634844427
Composite cofactor 224783750205550827667498520536546643814178594317883134181700329233660310038101302061860511369018574239773131182623 has 114 digits
software ソフトウェア
GMP-ECM 6.2.1

c114

name 名前Jo Yeong Uk
date 日付November 19, 2008 22:28:30 UTC 2008 年 11 月 20 日 (木) 7 時 28 分 30 秒 (日本時間)
composite number 合成数
224783750205550827667498520536546643814178594317883134181700329233660310038101302061860511369018574239773131182623<114>
prime factors 素因数
33962717422558397652469099314595771182277901<44>
6618544311658850749222168864793307787858976179228968556878226516680923<70>
factorization results 素因数分解の結果
Number: 32227_158
N=224783750205550827667498520536546643814178594317883134181700329233660310038101302061860511369018574239773131182623
  ( 114 digits)
Divisors found:
 r1=33962717422558397652469099314595771182277901 (pp44)
 r2=6618544311658850749222168864793307787858976179228968556878226516680923 (pp70)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 18.70 hours.
Scaled time: 44.51 units (timescale=2.380).
Factorization parameters were as follows:
name: 32227_158
n: 224783750205550827667498520536546643814178594317883134181700329233660310038101302061860511369018574239773131182623
skew: 43507.31
# norm 7.70e+15
c5: 46800
c4: 3439852684
c3: 141662054244854
c2: -10328543654556641841
c1: -230815965196408801245766
c0: 3056223806377708494279690880
# alpha -6.76
Y1: 513516312733
Y0: -5448829395459177655763
# Murphy_E 6.35e-10
# M 56906511998489966154066701174603629338226874494165166046143718999847722194005330214456027652359019840763477811026
type: gnfs
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 70000
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1400000, 2450001)
Primes: RFBsize:203362, AFBsize:203841, largePrimes:7664084 encountered
Relations: rels:7562037, finalFF:540171
Max relations in full relation-set: 28
Initial matrix: 407282 x 540171 with sparse part having weight 53460198.
Pruned matrix : 315279 x 317379 with weight 32717958.
Polynomial selection time: 1.20 hours.
Total sieving time: 16.65 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.61 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
gnfs,113,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2800000,2800000,27,27,50,50,2.6,2.6,70000
total time: 18.70 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: 8047068k/8912896k available (2460k kernel code, 339224k reserved, 1251k data, 196k init)
Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673803)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672384)
Calibrating delay using timer specific routine.. 5497.76 BogoMIPS (lpj=2748880)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672347)
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2008 06:00:00 UTC 2008 年 11 月 13 日 (木) 15 時 0 分 0 秒 (日本時間)

29×10161+439

c130

name 名前Jo Yeong Uk
date 日付November 24, 2008 11:50:16 UTC 2008 年 11 月 24 日 (月) 20 時 50 分 16 秒 (日本時間)
composite number 合成数
4005113835303256809392287149838109132555448634526304408831284112978548126102161206194818692716075534964606177462195257606494122137<130>
prime factors 素因数
65731665480805222595720071261961910422471<41>
19465377701474799653076880016239617879270773<44>
3130238241711695725511513679546855990923798339<46>
factorization results 素因数分解の結果
I used Serge Batalov's ECM result.Thanks for him to prevent wasting my resources.

Mon Nov 24 20:15:36 2008  
Mon Nov 24 20:15:36 2008  
Mon Nov 24 20:15:36 2008  Msieve v. 1.34
Mon Nov 24 20:15:36 2008  random seeds: ab854081 b2e8a7f3
Mon Nov 24 20:15:36 2008  factoring 205755772979417104595082042547315417057596909369989234543823785687942743680835498075669 (87 digits)
Mon Nov 24 20:15:37 2008  no P-1/P+1/ECM available, skipping
Mon Nov 24 20:15:37 2008  commencing quadratic sieve (87-digit input)
Mon Nov 24 20:15:37 2008  using multiplier of 13
Mon Nov 24 20:15:37 2008  using 32kb Intel Core sieve core
Mon Nov 24 20:15:37 2008  sieve interval: 19 blocks of size 32768
Mon Nov 24 20:15:37 2008  processing polynomials in batches of 11
Mon Nov 24 20:15:37 2008  using a sieve bound of 1480243 (56155 primes)
Mon Nov 24 20:15:37 2008  using large prime bound of 118419440 (26 bits)
Mon Nov 24 20:15:37 2008  using double large prime bound of 340534638927600 (41-49 bits)
Mon Nov 24 20:15:37 2008  using trial factoring cutoff of 49 bits
Mon Nov 24 20:15:37 2008  polynomial 'A' values have 11 factors
Mon Nov 24 20:51:07 2008  56540 relations (15918 full + 40622 combined from 591093 partial), need 56251
Mon Nov 24 20:51:07 2008  begin with 607011 relations
Mon Nov 24 20:51:08 2008  reduce to 134507 relations in 10 passes
Mon Nov 24 20:51:08 2008  attempting to read 134507 relations
Mon Nov 24 20:51:09 2008  recovered 134507 relations
Mon Nov 24 20:51:09 2008  recovered 112909 polynomials
Mon Nov 24 20:51:09 2008  attempting to build 56540 cycles
Mon Nov 24 20:51:09 2008  found 56540 cycles in 6 passes
Mon Nov 24 20:51:09 2008  distribution of cycle lengths:
Mon Nov 24 20:51:09 2008     length 1 : 15918
Mon Nov 24 20:51:09 2008     length 2 : 11285
Mon Nov 24 20:51:09 2008     length 3 : 10098
Mon Nov 24 20:51:09 2008     length 4 : 7501
Mon Nov 24 20:51:09 2008     length 5 : 4854
Mon Nov 24 20:51:09 2008     length 6 : 3068
Mon Nov 24 20:51:09 2008     length 7 : 1807
Mon Nov 24 20:51:09 2008     length 9+: 2009
Mon Nov 24 20:51:09 2008  largest cycle: 19 relations
Mon Nov 24 20:51:09 2008  matrix is 56155 x 56540 (13.9 MB) with weight 3179419 (56.23/col)
Mon Nov 24 20:51:09 2008  sparse part has weight 3179419 (56.23/col)
Mon Nov 24 20:51:09 2008  filtering completed in 3 passes
Mon Nov 24 20:51:09 2008  matrix is 51433 x 51497 (12.7 MB) with weight 2910899 (56.53/col)
Mon Nov 24 20:51:09 2008  sparse part has weight 2910899 (56.53/col)
Mon Nov 24 20:51:09 2008  saving the first 48 matrix rows for later
Mon Nov 24 20:51:09 2008  matrix is 51385 x 51497 (8.4 MB) with weight 2277388 (44.22/col)
Mon Nov 24 20:51:09 2008  sparse part has weight 1697155 (32.96/col)
Mon Nov 24 20:51:09 2008  matrix includes 64 packed rows
Mon Nov 24 20:51:09 2008  using block size 20598 for processor cache size 4096 kB
Mon Nov 24 20:51:10 2008  commencing Lanczos iteration
Mon Nov 24 20:51:10 2008  memory use: 7.5 MB
Mon Nov 24 20:51:19 2008  lanczos halted after 814 iterations (dim = 51385)
Mon Nov 24 20:51:19 2008  recovered 18 nontrivial dependencies
Mon Nov 24 20:51:20 2008  prp41 factor: 65731665480805222595720071261961910422471
Mon Nov 24 20:51:20 2008  prp46 factor: 3130238241711695725511513679546855990923798339
Mon Nov 24 20:51:20 2008  elapsed time 00:35:44
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2008 06:00:00 UTC 2008 年 11 月 13 日 (木) 15 時 0 分 0 秒 (日本時間)

29×10162+439

c148

name 名前Serge Batalov
date 日付November 18, 2008 19:27:31 UTC 2008 年 11 月 19 日 (水) 4 時 27 分 31 秒 (日本時間)
composite number 合成数
1023260457302781502321058826619075853267150618701104376101655793590908734618042775416104799906803554891849404419821230807109285753121776555130896587<148>
prime factors 素因数
24338504945142473597830485802111060049232775711<47>
42042864161506593485661228298579117459637482156761211650372648834901725871855061061337359033326914517<101>
factorization results 素因数分解の結果
SNFS difficulty: 164 digits.
Divisors found:
 r1=24338504945142473597830485802111060049232775711 (pp47)
 r2=42042864161506593485661228298579117459637482156761211650372648834901725871855061061337359033326914517 (pp101)
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.951).
Factorization parameters were as follows:
n: 1023260457302781502321058826619075853267150618701104376101655793590908734618042775416104799906803554891849404419821230807109285753121776555130896587
m: 200000000000000000000000000000000
deg: 5
c5: 725
c0: 344
skew: 0.86
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved rational special-q in [1900000, 4100001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 872891 x 873133
Total sieving time: 20.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 6.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,164,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,54,54,2.5,2.5,200000
total time: 27.00 hours.
software ソフトウェア
Msieve-1.38
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2008 06:00:00 UTC 2008 年 11 月 13 日 (木) 15 時 0 分 0 秒 (日本時間)
351e60--
403e61000 / 2336Serge BatalovNovember 18, 2008 01:13:58 UTC 2008 年 11 月 18 日 (火) 10 時 13 分 58 秒 (日本時間)

29×10164+439

c149

name 名前Serge Batalov
date 日付November 16, 2008 20:19:24 UTC 2008 年 11 月 17 日 (月) 5 時 19 分 24 秒 (日本時間)
composite number 合成数
19725021429289329056067131901558943292509618825694470186785745410991746213967852001668548861245981500488918592586100158430547700404142970520618182259<149>
prime factors 素因数
1942716736615818038402338174021<31>
10153318318372036964823232567936373358103425158864543912265807365285383606461019955365281439089858072132176984882382679<119>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=940592037
Step 1 took 16658ms
Step 2 took 12377ms
********** Factor found in step 2: 1942716736615818038402338174021
Found probable prime factor of 31 digits: 1942716736615818038402338174021
Probable prime cofactor 10153318318372036964823232567936373358103425158864543912265807365285383606461019955365281439089858072132176984882382679 has 119 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2008 06:00:00 UTC 2008 年 11 月 13 日 (木) 15 時 0 分 0 秒 (日本時間)

29×10166+439

c119

name 名前Serge Batalov
date 日付November 23, 2008 20:42:40 UTC 2008 年 11 月 24 日 (月) 5 時 42 分 40 秒 (日本時間)
composite number 合成数
37922241003650468929988200737268967915984366275980821103829988896681939750680291740322581230882976048158497569839223831<119>
prime factors 素因数
761702925310844258565528121716823<33>
49786130187401782926117076264729435237188242647832592699115744065130471304676109804097<86>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1084544580
Step 1 took 11941ms
Step 2 took 9369ms
********** Factor found in step 2: 761702925310844258565528121716823
Found probable prime factor of 33 digits: 761702925310844258565528121716823
Probable prime cofactor 49786130187401782926117076264729435237188242647832592699115744065130471304676109804097 has 86 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2008 06:00:00 UTC 2008 年 11 月 13 日 (木) 15 時 0 分 0 秒 (日本時間)

29×10167+439

c140

name 名前Ignacio Santos
date 日付April 14, 2009 12:06:05 UTC 2009 年 4 月 14 日 (火) 21 時 6 分 5 秒 (日本時間)
composite number 合成数
71606856403530898614318803019976572490320678307484085258590318918033797130638183025963493447882757092868811532376557010544452763536826576063<140>
prime factors 素因数
4800573794884051481511926497391306549<37>
14916311979172569492728684520219784207270861744830265394871640637715056063809315699069363930229167578787<104>
factorization results 素因数分解の結果
Number: 32227_167
N=71606856403530898614318803019976572490320678307484085258590318918033797130638183025963493447882757092868811532376557010544452763536826576063
  ( 140 digits)
SNFS difficulty: 169 digits.
Divisors found:
 r1=4800573794884051481511926497391306549 (pp37)
 r2=14916311979172569492728684520219784207270861744830265394871640637715056063809315699069363930229167578787 (pp104)
Version: Msieve-1.39
Total time: 59.66 hours.
Scaled time: 103.75 units (timescale=1.739).
Factorization parameters were as follows:
n: 71606856403530898614318803019976572490320678307484085258590318918033797130638183025963493447882757092868811532376557010544452763536826576063
m: 2000000000000000000000000000000000
deg: 5
c5: 725
c0: 344
skew: 0.86
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, 5750001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 974006 x 974254
Total sieving time: 59.66 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,169,5,0,0,0,0,0,0,0,0,4700000,4700000,27,27,52,52,2.4,2.4,100000
total time: 59.66 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
3025e4430Makoto KamadaNovember 13, 2008 06:00:00 UTC 2008 年 11 月 13 日 (木) 15 時 0 分 0 秒 (日本時間)

29×10168+439

c165

name 名前Robert Backstrom
date 日付November 23, 2008 06:15:39 UTC 2008 年 11 月 23 日 (日) 15 時 15 分 39 秒 (日本時間)
composite number 合成数
199852522621238120834970056578938300702240415693247052175291336737717684191665460660064641953868524605980414452783118664158172934455264046531180439262061788886821449<165>
prime factors 素因数
977639558746409933281005872314517859936176961237157<51>
204423522793514430218662211232552454622248740088943549859241400069576142068391696971781870504041640804809998425557<114>
factorization results 素因数分解の結果
Number: n
N=199852522621238120834970056578938300702240415693247052175291336737717684191665460660064641953868524605980414452783118664158172934455264046531180439262061788886821449
  ( 165 digits)
SNFS difficulty: 169 digits.
Divisors found:

Sun Nov 23 17:05:15 2008  prp51 factor: 977639558746409933281005872314517859936176961237157
Sun Nov 23 17:05:15 2008  prp114 factor: 204423522793514430218662211232552454622248740088943549859241400069576142068391696971781870504041640804809998425557
Sun Nov 23 17:05:15 2008  elapsed time 03:41:45 (Msieve 1.38)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 60.15 hours.
Scaled time: 110.02 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_3_2_167_7
n: 199852522621238120834970056578938300702240415693247052175291336737717684191665460660064641953868524605980414452783118664158172934455264046531180439262061788886821449
type: snfs
skew: 0.27
deg: 5
c5: 29000
c0: 43
m: 1000000000000000000000000000000000
rlim: 6000000
alim: 6000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 3400001)
Primes: RFBsize:412849, AFBsize:412761, largePrimes:17173952 encountered
Relations: rels:16036227, finalFF:897904
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 59.30 hours.
Total relation processing time: 0.85 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,169,5,0,0,0,0,0,0,0,0,6000000,6000000,28,28,56,56,2.5,2.5,100000
total time: 60.15 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2008 06:00:00 UTC 2008 年 11 月 13 日 (木) 15 時 0 分 0 秒 (日本時間)

29×10169+439

c121

name 名前Robert Backstrom
date 日付April 16, 2009 11:21:33 UTC 2009 年 4 月 16 日 (木) 20 時 21 分 33 秒 (日本時間)
composite number 合成数
7991934774734654452054356447725718770084016035191644948179308728459372861636901877233956143656618879080281199811689384169<121>
prime factors 素因数
32583084617094617615042603090346568972351851388073<50>
245278642849600244520859043647749948902552614694651833843364433822233153<72>
factorization results 素因数分解の結果
Number: n
N=7991934774734654452054356447725718770084016035191644948179308728459372861636901877233956143656618879080281199811689384169
  ( 121 digits)
SNFS difficulty: 171 digits.
Divisors found:

Thu Apr 16 21:15:03 2009  prp50 factor: 32583084617094617615042603090346568972351851388073
Thu Apr 16 21:15:03 2009  prp72 factor: 245278642849600244520859043647749948902552614694651833843364433822233153
Thu Apr 16 21:15:03 2009  elapsed time 01:37:35 (Msieve 1.39 - dependency 2)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 65.88 hours.
Scaled time: 175.23 units (timescale=2.660).
Factorization parameters were as follows:
name: KA_3_2_168_7
n: 7991934774734654452054356447725718770084016035191644948179308728459372861636901877233956143656618879080281199811689384169
m: 10000000000000000000000000000000000
deg: 5
c5: 29
c0: 430
skew: 1.71
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [2500000, 6403351)
Primes: RFBsize:348513, AFBsize:348691, largePrimes:18018717 encountered
Relations: rels:18137376, finalFF:707077
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2444613 hash collisions in 20202113 relations
Msieve: matrix is 880336 x 880584 (232.9 MB)

Total sieving time: 64.94 hours.
Total relation processing time: 0.94 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5000000,5000000,28,28,56,56,2.4,2.4,100000
total time: 65.88 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2008 06:00:00 UTC 2008 年 11 月 13 日 (木) 15 時 0 分 0 秒 (日本時間)

29×10170+439

c171

name 名前Serge Batalov
date 日付November 16, 2008 00:02:58 UTC 2008 年 11 月 16 日 (日) 9 時 2 分 58 秒 (日本時間)
composite number 合成数
107407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407409<171>
prime factors 素因数
1954336561162450967604444406439339<34>
composite cofactor 合成数の残り
54958500773030027645652315828411893842541871854764460247889669905548548420516193561916002544292592741336996889228227378146037689161386131<137>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2151013859
Step 1 took 25368ms
Step 2 took 16923ms
********** Factor found in step 2: 1954336561162450967604444406439339
Found probable prime factor of 34 digits: 1954336561162450967604444406439339
Composite cofactor 54958500773030027645652315828411893842541871854764460247889669905548548420516193561916002544292592741336996889228227378146037689161386131 has 137 digits
software ソフトウェア
GMP-ECM 6.2.1

c137

name 名前Jo Yeong Uk
date 日付September 19, 2009 11:32:40 UTC 2009 年 9 月 19 日 (土) 20 時 32 分 40 秒 (日本時間)
composite number 合成数
54958500773030027645652315828411893842541871854764460247889669905548548420516193561916002544292592741336996889228227378146037689161386131<137>
prime factors 素因数
903942870607759014353719475842760274151489835510297<51>
60798643985188028202680269739785039692943127907673564694636146843446912085467238806923<86>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.3.1] [ECM]
Input number is 54958500773030027645652315828411893842541871854764460247889669905548548420516193561916002544292592741336996889228227378146037689161386131 (137 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3500915563
Step 1 took 45093ms
Step 2 took 18232ms
********** Factor found in step 2: 903942870607759014353719475842760274151489835510297
Found probable prime factor of 51 digits: 903942870607759014353719475842760274151489835510297
Probable prime cofactor 60798643985188028202680269739785039692943127907673564694636146843446912085467238806923 has 86 digits
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2008 06:00:00 UTC 2008 年 11 月 13 日 (木) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiJuly 13, 2009 03:08:48 UTC 2009 年 7 月 13 日 (月) 12 時 8 分 48 秒 (日本時間)

29×10171+439

c137

name 名前Markus Tervooren
date 日付February 21, 2010 10:00:47 UTC 2010 年 2 月 21 日 (日) 19 時 0 分 47 秒 (日本時間)
composite number 合成数
18154802443437764234434216259525127773746879547931797663572725263726828930705978962488320161325650120534849293840743449741010577196470461<137>
prime factors 素因数
12571685809337741502229198855787276234475386191<47>
1444102463167915692789566604339509983688047366536613319021915122046152145821538167812369971<91>
factorization results 素因数分解の結果
rlim: 5200000
alim: 5200000
lpbr: 29
lpba: 29
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5

~55 hours of sieving

Msieve v. 1.44
Sun Feb 21 09:26:57 2010
random seeds: 1f7c07e4 5b2e7f41
factoring 18154802443437764234434216259525127773746879547931797663572725263726828930705978962488320161325650120534849293840743449741010577196470461 (137 digits)
searching for 15-digit factors
commencing number field sieve (137-digit input)
R0: -10000000000000000000000000000000000
R1:  1
A0:  43
A1:  0
A2:  0
A3:  0
A4:  0
A5:  290
skew 0.68, size 3.448514e-12, alpha 0.921754, combined = 1.770979e-10

commencing relation filtering
estimated available RAM is 8010.2 MB
commencing duplicate removal, pass 1
found 3651433 hash collisions in 41709384 relations
added 72811 free relations
commencing duplicate removal, pass 2
found 2498828 duplicates and 39283367 unique relations
memory use: 138.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1192.2 MB
keeping 35595839 ideals with weight <= 200, target excess is 359895
commencing in-memory singleton removal
begin with 39283367 relations and 35595839 unique ideals
reduce to 21058212 relations and 14947845 ideals in 12 passes
max relations containing the same ideal: 134
removing 2076421 relations and 1676421 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 18981791 relations and 14947845 unique ideals
reduce to 18882956 relations and 13170390 ideals in 6 passes
max relations containing the same ideal: 129
removing 1557705 relations and 1157705 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 17325251 relations and 13170390 unique ideals
reduce to 17265217 relations and 11951590 ideals in 6 passes
max relations containing the same ideal: 123
removing 1374064 relations and 974064 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 15891153 relations and 11951590 unique ideals
reduce to 15831261 relations and 10916430 ideals in 6 passes
max relations containing the same ideal: 112
removing 1289923 relations and 889923 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 14541338 relations and 10916430 unique ideals
reduce to 14489571 relations and 9973662 ideals in 6 passes
max relations containing the same ideal: 104
removing 1237357 relations and 837357 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 13252214 relations and 9973662 unique ideals
reduce to 13201560 relations and 9084484 ideals in 6 passes
max relations containing the same ideal: 97
removing 1180340 relations and 780340 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 12021220 relations and 9084484 unique ideals
reduce to 11970410 relations and 8252062 ideals in 6 passes
max relations containing the same ideal: 90
removing 1138747 relations and 738747 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 10831663 relations and 8252062 unique ideals
reduce to 10776977 relations and 7457181 ideals in 6 passes
max relations containing the same ideal: 85
removing 1110160 relations and 710160 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 9666817 relations and 7457181 unique ideals
reduce to 9607046 relations and 6685457 ideals in 5 passes
max relations containing the same ideal: 78
removing 1080333 relations and 680333 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 8526713 relations and 6685457 unique ideals
reduce to 8456669 relations and 5932460 ideals in 6 passes
max relations containing the same ideal: 71
removing 1058192 relations and 658192 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 7398477 relations and 5932460 unique ideals
reduce to 7315653 relations and 5187775 ideals in 5 passes
max relations containing the same ideal: 67
removing 1038716 relations and 638716 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 6276937 relations and 5187775 unique ideals
reduce to 6179961 relations and 4446659 ideals in 6 passes
max relations containing the same ideal: 58
removing 1025522 relations and 625522 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 5154439 relations and 4446659 unique ideals
reduce to 5045312 relations and 3704854 ideals in 6 passes
max relations containing the same ideal: 52
removing 1019758 relations and 619758 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 4025554 relations and 3704854 unique ideals
reduce to 3893204 relations and 2942736 ideals in 7 passes
max relations containing the same ideal: 43
removing 1022074 relations and 622074 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 2871130 relations and 2942736 unique ideals
reduce to 2700525 relations and 2133348 ideals in 9 passes
max relations containing the same ideal: 32
removing 501085 relations and 351387 ideals in 149698 cliques
commencing in-memory singleton removal
begin with 2199440 relations and 2133348 unique ideals
reduce to 2146228 relations and 1726248 ideals in 7 passes
max relations containing the same ideal: 30
relations with 0 large ideals: 22458
relations with 1 large ideals: 143195
relations with 2 large ideals: 434278
relations with 3 large ideals: 654631
relations with 4 large ideals: 539206
relations with 5 large ideals: 260378
relations with 6 large ideals: 79910
relations with 7+ large ideals: 12172
commencing 2-way merge
reduce to 1448184 relation sets and 1028204 unique ideals
commencing full merge
memory use: 103.2 MB
found 729620 cycles, need 670404
weight of 670404 cycles is about 47211156 (70.42/cycle)
distribution of cycle lengths:
1 relations: 65323
2 relations: 65046
3 relations: 73087
4 relations: 75369
5 relations: 73860
6 relations: 67549
7 relations: 59918
8 relations: 51459
9 relations: 42744
10+ relations: 96049
heaviest cycle: 15 relations
commencing cycle optimization
start with 3775714 relations
pruned 140627 relations
memory use: 119.9 MB
distribution of cycle lengths:
1 relations: 65323
2 relations: 66839
3 relations: 76752
4 relations: 79208
5 relations: 78304
6 relations: 70947
7 relations: 62347
8 relations: 52132
9 relations: 41731
10+ relations: 76821
heaviest cycle: 15 relations
RelProcTime: 1011

commencing linear algebra
read 670404 cycles
cycles contain 1938231 unique relations
read 1938231 relations
using 20 quadratic characters above 536825330
building initial matrix
memory use: 253.3 MB
read 670404 cycles
matrix is 670201 x 670404 (198.8 MB) with weight 59283164 (88.43/col)
sparse part has weight 44729182 (66.72/col)
filtering completed in 2 passes
matrix is 669133 x 669333 (198.6 MB) with weight 59231620 (88.49/col)
sparse part has weight 44700807 (66.78/col)
read 669333 cycles
matrix is 669133 x 669333 (198.6 MB) with weight 59231620 (88.49/col)
sparse part has weight 44700807 (66.78/col)
saving the first 48 matrix rows for later
matrix is 669085 x 669333 (188.0 MB) with weight 46689726 (69.76/col)
sparse part has weight 42598920 (63.64/col)
matrix includes 64 packed rows
using block size 65536 for processor cache size 4096 kB
commencing Lanczos iteration (4 threads)
memory use: 199.1 MB
linear algebra at 0.2%, ETA 0h22m669333 dimensions (0.2%, ETA 0h22m)
linear algebra completed 669000 of 669333 dimensions (100.0%, ETA 0h 0m)
lanczos halted after 10583 iterations (dim = 669085)
recovered 39 nontrivial dependencies
BLanczosTime: 1595

commencing square root phase
reading relations for dependency 1
read 334983 cycles
cycles contain 969862 unique relations
read 969862 relations
multiplying 969862 relations
multiply complete, coefficients have about 29.65 million bits
initial square root is modulo 327398171
sqrtTime: 125
prp47 factor: 12571685809337741502229198855787276234475386191
prp91 factor: 1444102463167915692789566604339509983688047366536613319021915122046152145821538167812369971
elapsed time 00:45:32

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2008 06:00:00 UTC 2008 年 11 月 13 日 (木) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiAugust 6, 2009 03:35:14 UTC 2009 年 8 月 6 日 (木) 12 時 35 分 14 秒 (日本時間)

29×10172+439

c97

name 名前Robert Backstrom
date 日付November 17, 2008 00:57:26 UTC 2008 年 11 月 17 日 (月) 9 時 57 分 26 秒 (日本時間)
composite number 合成数
7407233079814152516570865935671655828908744097439146872132648689700405980714588309617488719864201<97>
prime factors 素因数
242134544099255329284789632330728687<36>
30591393340298415649850547843758728559625979373492486617641223<62>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 7407233079814152516570865935671655828908744097439146872132648689700405980714588309617488719864201 (97 digits)
Using B1=3346000, B2=5707365310, polynomial Dickson(6), sigma=1782536042
Step 1 took 23719ms
Step 2 took 9297ms
********** Factor found in step 2: 242134544099255329284789632330728687
Found probable prime factor of 36 digits: 242134544099255329284789632330728687
Probable prime cofactor 30591393340298415649850547843758728559625979373492486617641223 has 62 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2008 06:00:00 UTC 2008 年 11 月 13 日 (木) 15 時 0 分 0 秒 (日本時間)

29×10173+439

c142

name 名前Serge Batalov
date 日付November 16, 2008 20:08:35 UTC 2008 年 11 月 17 日 (月) 5 時 8 分 35 秒 (日本時間)
composite number 合成数
3131138641219208698680478578235734961312729084245521342111612302926488952471265558584289014453114218416859834420618658178219340389560700298827<142>
prime factors 素因数
278125250251433947903850622262669172867<39>
11258016445427235313011794263716183664680139091861609109861704266670446050131750455666720671537249609881<104>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=54860734
Step 1 took 18960ms
Step 2 took 13876ms
********** Factor found in step 2: 278125250251433947903850622262669172867
Found probable prime factor of 39 digits: 278125250251433947903850622262669172867
Probable prime cofactor 11258016445427235313011794263716183664680139091861609109861704266670446050131750455666720671537249609881 has 104 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2008 06:00:00 UTC 2008 年 11 月 13 日 (木) 15 時 0 分 0 秒 (日本時間)

29×10174+439

c158

name 名前Ignacio Santos
date 日付November 19, 2010 08:11:03 UTC 2010 年 11 月 19 日 (金) 17 時 11 分 3 秒 (日本時間)
composite number 合成数
50740851371329573790410090815157255794934870943221070321391866690157092346337169157700821090771950599040448517385679901941202552017553100586536969360163556021<158>
prime factors 素因数
7103273970203219920807506266669006732927548788000053<52>
7143304845649633861070586926311676358571159553484516675285288371498560067077725444283231440189439457501057<106>
factorization results 素因数分解の結果
Number: 8
N=50740851371329573790410090815157255794934870943221070321391866690157092346337169157700821090771950599040448517385679901941202552017553100586536969360163556021
  ( 158 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=7103273970203219920807506266669006732927548788000053 (pp52)
 r2=7143304845649633861070586926311676358571159553484516675285288371498560067077725444283231440189439457501057 (pp106)
Version: Msieve-1.40
Total time: 114.21 hours.
Scaled time: 198.61 units (timescale=1.739).
Factorization parameters were as follows:
n: 50740851371329573790410090815157255794934870943221070321391866690157092346337169157700821090771950599040448517385679901941202552017553100586536969360163556021
m: 10000000000000000000000000000000000
deg: 5
c5: 290000
c0: 43
skew: 0.17
type: snfs
lss: 1
rlim: 5900000
alim: 5900000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5900000/5900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [2950000, 8850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1366311 x 1366543
Total sieving time: 110.01 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 2.61 hours.
Time per square root: 1.43 hours.
Prototype def-par.txt line would be:
snfs,175.000,5,0,0,0,0,0,0,0,0,5900000,5900000,28,28,52,52,2.5,2.5,100000
total time: 114.21 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2008 06:00:00 UTC 2008 年 11 月 13 日 (木) 15 時 0 分 0 秒 (日本時間)
351e6825Ignacio SantosMay 1, 2010 11:58:42 UTC 2010 年 5 月 1 日 (土) 20 時 58 分 42 秒 (日本時間)
403e62111Wataru SakaiMay 24, 2010 00:53:42 UTC 2010 年 5 月 24 日 (月) 9 時 53 分 42 秒 (日本時間)

29×10177+439

c169

name 名前matsui
date 日付September 15, 2010 04:25:16 UTC 2010 年 9 月 15 日 (水) 13 時 25 分 16 秒 (日本時間)
composite number 合成数
1898275126853353043278455772366047665337450762516031238643096530373195672301080881385403724650281684879156473420986908660335114380872474435529083378402950523800831869549<169>
prime factors 素因数
2478257953799921351384840943546998347463<40>
765971566415320622093913664883568114493056324030353552117864163405256889585068826415088173780346820449463002903375110184602753323<129>
factorization results 素因数分解の結果
N=1898275126853353043278455772366047665337450762516031238643096530373195672301080881385403724650281684879156473420986908660335114380872474435529083378402950523800831869549
  ( 169 digits)
SNFS difficulty: 178 digits.
Divisors found:
 r1=2478257953799921351384840943546998347463 (pp40)
 r2=765971566415320622093913664883568114493056324030353552117864163405256889585068826415088173780346820449463002903375110184602753323 (pp129)
Version: Msieve v. 1.47
Total time:
Scaled time: 8.25 units (timescale=1.286).
Factorization parameters were as follows:
n: 1898275126853353043278455772366047665337450762516031238643096530373195672301080881385403724650281684879156473420986908660335114380872474435529083378402950523800831869549
m: 100000000000000000000000000000000000
deg: 5
c5: 2900
c0: 43
skew: 0.43
type: snfs
lss: 1
rlim: 6600000
alim: 6600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6600000/6600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3300000, 9500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1564283 x 1564513
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,178.000,5,0,0,0,0,0,0,0,0,6600000,6600000,28,28,53,53,2.5,2.5,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2008 06:00:00 UTC 2008 年 11 月 13 日 (木) 15 時 0 分 0 秒 (日本時間)

29×10179+439

c134

name 名前Serge Batalov
date 日付November 16, 2008 23:13:39 UTC 2008 年 11 月 17 日 (月) 8 時 13 分 39 秒 (日本時間)
composite number 合成数
10143052371146695957843389738790063887090906107540372104151065427531498374873236553920436101756229237133043311385587594466538684994263<134>
prime factors 素因数
2769319232990930018823920363173<31>
3662651907484122160682225291966783394252544467675339129918900995332581468906429399627651838257437808331<103>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2974743075
Step 1 took 43872ms
Step 2 took 16146ms
********** Factor found in step 2: 2769319232990930018823920363173
Found probable prime factor of 31 digits: 2769319232990930018823920363173
Probable prime cofactor 3662651907484122160682225291966783394252544467675339129918900995332581468906429399627651838257437808331 has 103 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2008 06:00:00 UTC 2008 年 11 月 13 日 (木) 15 時 0 分 0 秒 (日本時間)

29×10181+439

c105

name 名前Serge Batalov
date 日付November 17, 2008 02:41:04 UTC 2008 年 11 月 17 日 (月) 11 時 41 分 4 秒 (日本時間)
composite number 合成数
762396188156494875567780473147586708249017071732373530428771402196001592862502726153090821862990913495941<105>
prime factors 素因数
3601458746009011119542948899535711107790437<43>
211690940233967989813862201243570845426363639153268518613816993<63>
factorization results 素因数分解の結果
Number: 32227_181
N=762396188156494875567780473147586708249017071732373530428771402196001592862502726153090821862990913495941
  ( 105 digits)
Divisors found:
 r1=3601458746009011119542948899535711107790437 (pp43)
 r2=211690940233967989813862201243570845426363639153268518613816993 (pp63)
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.733).
Factorization parameters were as follows:
name: 32227_181
n: 762396188156494875567780473147586708249017071732373530428771402196001592862502726153090821862990913495941
skew: 9844.65
# norm 3.11e+14
c5: 29640
c4: 1117679122
c3: 19394260346651
c2: -117325550455593525
c1: -630322423049171911239
c0: 2106398969892741411195903
# alpha -5.82
Y1: 24663503227
Y0: -120798025239544098128
# Murphy_E 1.83e-09
# M 584676753022640349010774396889405223318803062446763465583310243513069604242056769938892601179638601221218
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2150001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 273203 x 273445
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,104,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 8.50 hours.
software ソフトウェア
Msieve-1.38+pol51
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2008 06:00:00 UTC 2008 年 11 月 13 日 (木) 15 時 0 分 0 秒 (日本時間)

29×10182+439

c177

name 名前Wataru Sakai
date 日付December 21, 2009 12:56:32 UTC 2009 年 12 月 21 日 (月) 21 時 56 分 32 秒 (日本時間)
composite number 合成数
144635597843014417326267335760917157268120832967380333618464958460406927765840353521320708540866713359027597918424425580970025070336540602778330136138505841457739298723830245887<177>
prime factors 素因数
92642261978496379962548769773717521411016408848388445396158257<62>
1561226968708799973532631702023503117190130380194927134171352062656951184851221466845822869614201993417026721388591<115>
factorization results 素因数分解の結果
Number: 32227_182
N=144635597843014417326267335760917157268120832967380333618464958460406927765840353521320708540866713359027597918424425580970025070336540602778330136138505841457739298723830245887
  ( 177 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=92642261978496379962548769773717521411016408848388445396158257
 r2=1561226968708799973532631702023503117190130380194927134171352062656951184851221466845822869614201993417026721388591
Version: 
Total time: 343.63 hours.
Scaled time: 691.04 units (timescale=2.011).
Factorization parameters were as follows:
n: 144635597843014417326267335760917157268120832967380333618464958460406927765840353521320708540866713359027597918424425580970025070336540602778330136138505841457739298723830245887
m: 1000000000000000000000000000000000000
deg: 5
c5: 2900
c0: 43
skew: 0.43
type: snfs
lss: 1
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [4000000, 7300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1547536 x 1547784
Total sieving time: 343.63 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,183,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,53,53,2.5,2.5,100000
total time: 343.63 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2008 06:00:00 UTC 2008 年 11 月 13 日 (木) 15 時 0 分 0 秒 (日本時間)
351e60--
403e60 / 904--
4511e6415 / 4479Dmitry DomanovDecember 11, 2009 08:52:35 UTC 2009 年 12 月 11 日 (金) 17 時 52 分 35 秒 (日本時間)

29×10183+439

c141

name 名前Dmitry Domanov
date 日付July 3, 2013 09:11:06 UTC 2013 年 7 月 3 日 (水) 18 時 11 分 6 秒 (日本時間)
composite number 合成数
198638471904645434872490835993742464348299887293933172729819965397734417711696561910756170591493276466916220296740216470906270127165339483159<141>
prime factors 素因数
196543356057590212020669309672493493870553550123326254761<57>
1010659815162825050349162075629145560628535824594476869665225413551108679725762710719<85>
factorization results 素因数分解の結果
N=198638471904645434872490835993742464348299887293933172729819965397734417711696561910756170591493276466916220296740216470906270127165339483159
  ( 141 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=196543356057590212020669309672493493870553550123326254761 (pp57)
 r2=1010659815162825050349162075629145560628535824594476869665225413551108679725762710719 (pp85)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 195.81 hours.
Scaled time: 376.73 units (timescale=1.924).
Factorization parameters were as follows:
n: 198638471904645434872490835993742464348299887293933172729819965397734417711696561910756170591493276466916220296740216470906270127165339483159
m: 1000000000000000000000000000000000000
deg: 5
c5: 29000
c0: 43
skew: 0.27
# Murphy_E = 4.861e-11
type: snfs
lss: 1
rlim: 8300000
alim: 8300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 8300000/8300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4150000, 14150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1860765 x 1860991
Total sieving time: 192.04 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 3.38 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,184.000,5,0,0,0,0,0,0,0,0,8300000,8300000,28,28,54,54,2.5,2.5,100000
total time: 195.81 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2008 06:00:00 UTC 2008 年 11 月 13 日 (木) 15 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosMay 8, 2011 19:10:19 UTC 2011 年 5 月 9 日 (月) 4 時 10 分 19 秒 (日本時間)
403e61110 / 2144110Ignacio SantosMay 8, 2011 19:10:19 UTC 2011 年 5 月 9 日 (月) 4 時 10 分 19 秒 (日本時間)
1000Dmitry DomanovJune 27, 2013 06:09:56 UTC 2013 年 6 月 27 日 (木) 15 時 9 分 56 秒 (日本時間)
4511e632 / 4220Ignacio SantosMay 8, 2011 19:10:19 UTC 2011 年 5 月 9 日 (月) 4 時 10 分 19 秒 (日本時間)

29×10184+439

c182

name 名前Robert Backstrom
date 日付December 20, 2008 02:13:39 UTC 2008 年 12 月 20 日 (土) 11 時 13 分 39 秒 (日本時間)
composite number 合成数
66990066990066990066990066990066990066990066990066990066990066990066990066990066990066990066990066990066990066990066990066990066990066990066990066990066990066990066990066990066990067<182>
prime factors 素因数
111279443625051066686752583950724085052587338038048389915997789891205474859639594563<84>
601998579502120043908560040845175574623627224208589111827646965534334972535100226307763607247653009<99>
factorization results 素因数分解の結果
Number: n
N=66990066990066990066990066990066990066990066990066990066990066990066990066990066990066990066990066990066990066990066990066990066990066990066990066990066990066990066990066990066990067
  ( 182 digits)
SNFS difficulty: 186 digits.
Divisors found:

Sat Dec 20 12:36:23 2008  prp84 factor: 111279443625051066686752583950724085052587338038048389915997789891205474859639594563
Sat Dec 20 12:36:23 2008  prp99 factor: 601998579502120043908560040845175574623627224208589111827646965534334972535100226307763607247653009
Sat Dec 20 12:36:23 2008  elapsed time 02:46:43 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20050930-k8
Total time: 75.44 hours.
Scaled time: 151.78 units (timescale=2.012).
Factorization parameters were as follows:
name: KA_3_2_183_7
n: 66990066990066990066990066990066990066990066990066990066990066990066990066990066990066990066990066990066990066990066990066990066990066990066990066990066990066990066990066990066990067
type: snfs
skew: 1.71
deg: 5
c5: 29
c0: 430
m: 10000000000000000000000000000000000000
rlim: 8500000
alim: 8500000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 8500000/8500000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 5000001)
Primes: RFBsize:571119, AFBsize:570987, largePrimes:30886821 encountered
Relations: rels:27632037, finalFF:860192
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7185617 hash collisions in 37455763 relations
Msieve: matrix is 1392558 x 1392806 (375.4 MB)

Total sieving time: 74.58 hours.
Total relation processing time: 0.85 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8500000,8500000,29,29,58,58,2.5,2.5,100000
total time: 75.44 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: 3321556k/3407296k available (2912k kernel code, 84428k reserved, 1794k data, 1544k init, 2502088k highmem)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5660.98 BogoMIPS (lpj=2830490)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830449)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830457)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830462)
Total of 4 processors activated (22643.71 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2008 06:00:00 UTC 2008 年 11 月 13 日 (木) 15 時 0 分 0 秒 (日本時間)

29×10185+439

c153

name 名前Dmitry Domanov
date 日付August 12, 2013 07:40:55 UTC 2013 年 8 月 12 日 (月) 16 時 40 分 55 秒 (日本時間)
composite number 合成数
108079248993424542058060335728842685777707537373098033460120358880849020846176706928591761953787279720429569441040367228214086841125245943611864162347063<153>
prime factors 素因数
4272520775691498784330302883904119870440944088658406069274559935353983<70>
25296365931873587149074836448032867700462030266617525291219470899516305224550002761<83>
factorization results 素因数分解の結果
N=108079248993424542058060335728842685777707537373098033460120358880849020846176706928591761953787279720429569441040367228214086841125245943611864162347063
  ( 153 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=4272520775691498784330302883904119870440944088658406069274559935353983 (pp70)
 r2=25296365931873587149074836448032867700462030266617525291219470899516305224550002761 (pp83)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 149.10 hours.
Scaled time: 286.72 units (timescale=1.923).
Factorization parameters were as follows:
n: 108079248993424542058060335728842685777707537373098033460120358880849020846176706928591761953787279720429569441040367228214086841125245943611864162347063
m: 10000000000000000000000000000000000000
deg: 5
c5: 29
c0: 43
skew: 1.08
# Murphy_E = 6.406e-11
type: snfs
lss: 1
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4500000, 11700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1684749 x 1684977
Total sieving time: 145.86 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 2.82 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
snfs,186.000,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,54,54,2.5,2.5,100000
total time: 149.10 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2008 06:00:00 UTC 2008 年 11 月 13 日 (木) 15 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosMay 8, 2011 20:48:10 UTC 2011 年 5 月 9 日 (月) 5 時 48 分 10 秒 (日本時間)
403e61110 / 2144110Ignacio SantosMay 8, 2011 20:48:10 UTC 2011 年 5 月 9 日 (月) 5 時 48 分 10 秒 (日本時間)
1000Dmitry DomanovJune 27, 2013 06:10:06 UTC 2013 年 6 月 27 日 (木) 15 時 10 分 6 秒 (日本時間)
4511e632 / 4220Ignacio SantosMay 8, 2011 20:48:10 UTC 2011 年 5 月 9 日 (月) 5 時 48 分 10 秒 (日本時間)

29×10186+439

c183

name 名前Robert Backstrom
date 日付January 7, 2009 17:41:15 UTC 2009 年 1 月 8 日 (木) 2 時 41 分 15 秒 (日本時間)
composite number 合成数
685141871618588607744465707468046400642615824414676211401705767004512486119970704278592860349186098707680676636662177806128475913719375339617738086800387459541191201833345146124223309<183>
prime factors 素因数
555923217597268132599534094433976495047551289000224776872217296769257<69>
1232439750546506891785593310267887304617348141319633071530047011017494600720295029123922027255808926803985878794437<115>
factorization results 素因数分解の結果
Number: n
N=685141871618588607744465707468046400642615824414676211401705767004512486119970704278592860349186098707680676636662177806128475913719375339617738086800387459541191201833345146124223309
  ( 183 digits)
SNFS difficulty: 187 digits.
Divisors found:

Thu Jan 08 04:20:59 2009  prp69 factor: 555923217597268132599534094433976495047551289000224776872217296769257
Thu Jan 08 04:20:59 2009  prp115 factor: 1232439750546506891785593310267887304617348141319633071530047011017494600720295029123922027255808926803985878794437
Thu Jan 08 04:20:59 2009  elapsed time 06:18:34 (Msieve 1.39 - dependency 3)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 29.95 hours.
Scaled time: 61.25 units (timescale=2.045).
Factorization parameters were as follows:
name: KA_3_2_185_7
n: 685141871618588607744465707468046400642615824414676211401705767004512486119970704278592860349186098707680676636662177806128475913719375339617738086800387459541191201833345146124223309
deg: 5
c5: 290
c0: 43
m: 10000000000000000000000000000000000000
skew: 0.68
type: snfs
rlim: 8500000
alim: 8500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 8500000/8500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 10294351)
Primes: RFBsize:571119, AFBsize:569357, largePrimes:21303335 encountered
Relations: rels:21658760, finalFF:1003877
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2773120 hash collisions in 23837692 relations
Msieve: matrix is 1553711 x 1553959 (416.7 MB)

Total sieving time: 28.98 hours.
Total relation processing time: 0.97 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,8500000,8500000,28,28,56,56,2.5,2.5,100000
total time: 29.95 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
3025e4430Makoto KamadaNovember 13, 2008 06:00:00 UTC 2008 年 11 月 13 日 (木) 15 時 0 分 0 秒 (日本時間)

29×10187+439

c171

name 名前Serge Batalov
date 日付November 16, 2008 20:16:44 UTC 2008 年 11 月 17 日 (月) 5 時 16 分 44 秒 (日本時間)
composite number 合成数
197248684014548886435551399324949475285369687846970775209334051376040192599140065096924867619196007476072989912225185385074938901560309705023155034452613926234944518480677<171>
prime factors 素因数
225672697957802240071355869943<30>
composite cofactor 合成数の残り
874047617631760391195304292247147019956812512118441877235264029120636815503492744210942204168382928019415331396254518104266298927433445990339<141>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3637906633
Step 1 took 66450ms
Step 2 took 22651ms
********** Factor found in step 2: 225672697957802240071355869943
Found probable prime factor of 30 digits: 225672697957802240071355869943
Composite cofactor 874047617631760391195304292247147019956812512118441877235264029120636815503492744210942204168382928019415331396254518104266298927433445990339 has 141 digits
software ソフトウェア
GMP-ECM 6.2.1

c141

name 名前LegionMammal978
date 日付February 1, 2017 11:38:38 UTC 2017 年 2 月 1 日 (水) 20 時 38 分 38 秒 (日本時間)
composite number 合成数
874047617631760391195304292247147019956812512118441877235264029120636815503492744210942204168382928019415331396254518104266298927433445990339<141>
prime factors 素因数
15964242420768894049006711134931368230692551691316102211510251544923<68>
54750334816681090249544911329337460535598932090339300643402241759069937593<74>
factorization results 素因数分解の結果
Wed Feb  1 02:02:21 2017  Msieve v. 1.53 (SVN Unversioned directory)
Wed Feb  1 02:02:21 2017  random seeds: c5d5f5f3 61ea0c33
Wed Feb  1 02:02:21 2017  factoring 874047617631760391195304292247147019956812512118441877235264029120636815503492744210942204168382928019415331396254518104266298927433445990339 (141 digits)
Wed Feb  1 02:02:21 2017  no P-1/P+1/ECM available, skipping
Wed Feb  1 02:02:21 2017  commencing number field sieve (141-digit input)
Wed Feb  1 02:02:21 2017  R0: -10000000000000000000000000000000000000
Wed Feb  1 02:02:21 2017  R1: 1
Wed Feb  1 02:02:21 2017  A0: 43
Wed Feb  1 02:02:21 2017  A1: 0
Wed Feb  1 02:02:21 2017  A2: 0
Wed Feb  1 02:02:21 2017  A3: 0
Wed Feb  1 02:02:21 2017  A4: 0
Wed Feb  1 02:02:21 2017  A5: 2900
Wed Feb  1 02:02:21 2017  skew 0.43, size 1.903e-13, alpha 0.754, combined = 3.116e-11 rroots = 1
Wed Feb  1 02:02:21 2017  
Wed Feb  1 02:02:21 2017  commencing relation filtering
Wed Feb  1 02:02:21 2017  estimated available RAM is 15929.4 MB
Wed Feb  1 02:02:21 2017  commencing duplicate removal, pass 1
Wed Feb  1 02:05:10 2017  found 3790116 hash collisions in 22967661 relations
Wed Feb  1 02:05:29 2017  added 261 free relations
Wed Feb  1 02:05:29 2017  commencing duplicate removal, pass 2
Wed Feb  1 02:05:35 2017  found 3561926 duplicates and 19405996 unique relations
Wed Feb  1 02:05:35 2017  memory use: 106.6 MB
Wed Feb  1 02:05:35 2017  reading ideals above 720000
Wed Feb  1 02:05:35 2017  commencing singleton removal, initial pass
Wed Feb  1 02:07:37 2017  memory use: 689.0 MB
Wed Feb  1 02:07:37 2017  reading all ideals from disk
Wed Feb  1 02:07:38 2017  memory use: 623.1 MB
Wed Feb  1 02:07:39 2017  keeping 21538613 ideals with weight <= 200, target excess is 116290
Wed Feb  1 02:07:40 2017  commencing in-memory singleton removal
Wed Feb  1 02:07:41 2017  begin with 19405996 relations and 21538613 unique ideals
Wed Feb  1 02:07:52 2017  reduce to 8032029 relations and 7874731 ideals in 20 passes
Wed Feb  1 02:07:52 2017  max relations containing the same ideal: 107
Wed Feb  1 02:07:54 2017  removing 203387 relations and 192186 ideals in 11201 cliques
Wed Feb  1 02:07:54 2017  commencing in-memory singleton removal
Wed Feb  1 02:07:54 2017  begin with 7828642 relations and 7874731 unique ideals
Wed Feb  1 02:07:57 2017  reduce to 7824198 relations and 7678087 ideals in 8 passes
Wed Feb  1 02:07:57 2017  max relations containing the same ideal: 106
Wed Feb  1 02:07:59 2017  removing 146163 relations and 134962 ideals in 11201 cliques
Wed Feb  1 02:07:59 2017  commencing in-memory singleton removal
Wed Feb  1 02:08:00 2017  begin with 7678035 relations and 7678087 unique ideals
Wed Feb  1 02:08:02 2017  reduce to 7675538 relations and 7540624 ideals in 8 passes
Wed Feb  1 02:08:02 2017  max relations containing the same ideal: 105
Wed Feb  1 02:08:04 2017  relations with 0 large ideals: 2916
Wed Feb  1 02:08:04 2017  relations with 1 large ideals: 716
Wed Feb  1 02:08:04 2017  relations with 2 large ideals: 15145
Wed Feb  1 02:08:04 2017  relations with 3 large ideals: 122583
Wed Feb  1 02:08:04 2017  relations with 4 large ideals: 542200
Wed Feb  1 02:08:04 2017  relations with 5 large ideals: 1390708
Wed Feb  1 02:08:04 2017  relations with 6 large ideals: 2230264
Wed Feb  1 02:08:04 2017  relations with 7+ large ideals: 3371006
Wed Feb  1 02:08:04 2017  commencing 2-way merge
Wed Feb  1 02:08:07 2017  reduce to 4507358 relation sets and 4372446 unique ideals
Wed Feb  1 02:08:07 2017  ignored 2 oversize relation sets
Wed Feb  1 02:08:07 2017  commencing full merge
Wed Feb  1 02:08:55 2017  memory use: 525.6 MB
Wed Feb  1 02:08:55 2017  found 2314319 cycles, need 2306646
Wed Feb  1 02:08:56 2017  weight of 2306646 cycles is about 161751919 (70.12/cycle)
Wed Feb  1 02:08:56 2017  distribution of cycle lengths:
Wed Feb  1 02:08:56 2017  1 relations: 348560
Wed Feb  1 02:08:56 2017  2 relations: 312409
Wed Feb  1 02:08:56 2017  3 relations: 285725
Wed Feb  1 02:08:56 2017  4 relations: 242289
Wed Feb  1 02:08:56 2017  5 relations: 205486
Wed Feb  1 02:08:56 2017  6 relations: 168026
Wed Feb  1 02:08:56 2017  7 relations: 139935
Wed Feb  1 02:08:56 2017  8 relations: 114037
Wed Feb  1 02:08:56 2017  9 relations: 91816
Wed Feb  1 02:08:56 2017  10+ relations: 398363
Wed Feb  1 02:08:56 2017  heaviest cycle: 28 relations
Wed Feb  1 02:08:56 2017  commencing cycle optimization
Wed Feb  1 02:08:59 2017  start with 13155538 relations
Wed Feb  1 02:09:11 2017  pruned 284226 relations
Wed Feb  1 02:09:11 2017  memory use: 441.9 MB
Wed Feb  1 02:09:11 2017  distribution of cycle lengths:
Wed Feb  1 02:09:11 2017  1 relations: 348560
Wed Feb  1 02:09:11 2017  2 relations: 318970
Wed Feb  1 02:09:11 2017  3 relations: 294645
Wed Feb  1 02:09:11 2017  4 relations: 246799
Wed Feb  1 02:09:11 2017  5 relations: 208734
Wed Feb  1 02:09:11 2017  6 relations: 168886
Wed Feb  1 02:09:11 2017  7 relations: 139620
Wed Feb  1 02:09:11 2017  8 relations: 112336
Wed Feb  1 02:09:11 2017  9 relations: 89784
Wed Feb  1 02:09:11 2017  10+ relations: 378312
Wed Feb  1 02:09:11 2017  heaviest cycle: 28 relations
Wed Feb  1 02:09:13 2017  RelProcTime: 412
Wed Feb  1 02:09:14 2017  elapsed time 00:06:53
Wed Feb 01 02:09:14 2017 LatSieveTime: 1191.07
Wed Feb 01 02:09:14 2017 -> Running matrix solving step ...
Wed Feb 01 02:09:14 2017 -> ./msieve -s 32227_187/32227_187.dat -l 32227_187/32227_187.log -i 32227_187/32227_187.ini -nf 32227_187/32227_187.fb -t 6 -nc2
Wed Feb  1 02:09:14 2017  
Wed Feb  1 02:09:14 2017  
Wed Feb  1 02:09:14 2017  Msieve v. 1.53 (SVN Unversioned directory)
Wed Feb  1 02:09:14 2017  random seeds: 14360958 9c31da6e
Wed Feb  1 02:09:14 2017  factoring 874047617631760391195304292247147019956812512118441877235264029120636815503492744210942204168382928019415331396254518104266298927433445990339 (141 digits)
Wed Feb  1 02:09:14 2017  no P-1/P+1/ECM available, skipping
Wed Feb  1 02:09:14 2017  commencing number field sieve (141-digit input)
Wed Feb  1 02:09:14 2017  R0: -10000000000000000000000000000000000000
Wed Feb  1 02:09:14 2017  R1: 1
Wed Feb  1 02:09:14 2017  A0: 43
Wed Feb  1 02:09:14 2017  A1: 0
Wed Feb  1 02:09:14 2017  A2: 0
Wed Feb  1 02:09:14 2017  A3: 0
Wed Feb  1 02:09:14 2017  A4: 0
Wed Feb  1 02:09:14 2017  A5: 2900
Wed Feb  1 02:09:14 2017  skew 0.43, size 1.903e-13, alpha 0.754, combined = 3.116e-11 rroots = 1
Wed Feb  1 02:09:14 2017  
Wed Feb  1 02:09:14 2017  commencing linear algebra
Wed Feb  1 02:09:14 2017  read 2306646 cycles
Wed Feb  1 02:09:17 2017  cycles contain 7487913 unique relations
Wed Feb  1 02:09:54 2017  read 7487913 relations
Wed Feb  1 02:09:58 2017  using 20 quadratic characters above 4294917295
Wed Feb  1 02:10:27 2017  building initial matrix
Wed Feb  1 02:11:10 2017  memory use: 902.9 MB
Wed Feb  1 02:11:11 2017  read 2306646 cycles
Wed Feb  1 02:11:11 2017  matrix is 2306467 x 2306646 (692.9 MB) with weight 201636507 (87.42/col)
Wed Feb  1 02:11:11 2017  sparse part has weight 156261323 (67.74/col)
Wed Feb  1 02:11:24 2017  filtering completed in 2 passes
Wed Feb  1 02:11:25 2017  matrix is 2304250 x 2304427 (692.7 MB) with weight 201555113 (87.46/col)
Wed Feb  1 02:11:25 2017  sparse part has weight 156228286 (67.79/col)
Wed Feb  1 02:11:29 2017  matrix starts at (0, 0)
Wed Feb  1 02:11:29 2017  matrix is 2304250 x 2304427 (692.7 MB) with weight 201555113 (87.46/col)
Wed Feb  1 02:11:29 2017  sparse part has weight 156228286 (67.79/col)
Wed Feb  1 02:11:29 2017  saving the first 48 matrix rows for later
Wed Feb  1 02:11:30 2017  matrix includes 64 packed rows
Wed Feb  1 02:11:30 2017  matrix is 2304202 x 2304427 (656.3 MB) with weight 161280361 (69.99/col)
Wed Feb  1 02:11:30 2017  sparse part has weight 148991139 (64.65/col)
Wed Feb  1 02:11:30 2017  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Wed Feb  1 02:11:35 2017  commencing Lanczos iteration (6 threads)
Wed Feb  1 02:11:35 2017  memory use: 528.2 MB
Wed Feb  1 02:11:41 2017  linear algebra at 0.1%, ETA 2h31m
Wed Feb  1 02:11:42 2017  checkpointing every 1040000 dimensions
Wed Feb  1 04:28:21 2017  lanczos halted after 36436 iterations (dim = 2304202)
Wed Feb  1 04:28:23 2017  recovered 41 nontrivial dependencies
Wed Feb  1 04:28:23 2017  BLanczosTime: 8349
Wed Feb  1 04:28:23 2017  elapsed time 02:19:09
Wed Feb 01 04:28:23 2017 -> Running square root step ...
Wed Feb 01 04:28:23 2017 -> ./msieve -s 32227_187/32227_187.dat -l 32227_187/32227_187.log -i 32227_187/32227_187.ini -nf 32227_187/32227_187.fb -t 6 -nc3
Wed Feb  1 04:28:23 2017  
Wed Feb  1 04:28:23 2017  
Wed Feb  1 04:28:23 2017  Msieve v. 1.53 (SVN Unversioned directory)
Wed Feb  1 04:28:23 2017  random seeds: 13a47a6e 9c68deed
Wed Feb  1 04:28:23 2017  factoring 874047617631760391195304292247147019956812512118441877235264029120636815503492744210942204168382928019415331396254518104266298927433445990339 (141 digits)
Wed Feb  1 04:28:24 2017  no P-1/P+1/ECM available, skipping
Wed Feb  1 04:28:24 2017  commencing number field sieve (141-digit input)
Wed Feb  1 04:28:24 2017  R0: -10000000000000000000000000000000000000
Wed Feb  1 04:28:24 2017  R1: 1
Wed Feb  1 04:28:24 2017  A0: 43
Wed Feb  1 04:28:24 2017  A1: 0
Wed Feb  1 04:28:24 2017  A2: 0
Wed Feb  1 04:28:24 2017  A3: 0
Wed Feb  1 04:28:24 2017  A4: 0
Wed Feb  1 04:28:24 2017  A5: 2900
Wed Feb  1 04:28:24 2017  skew 0.43, size 1.903e-13, alpha 0.754, combined = 3.116e-11 rroots = 1
Wed Feb  1 04:28:24 2017  
Wed Feb  1 04:28:24 2017  commencing square root phase
Wed Feb  1 04:28:24 2017  reading relations for dependency 1
Wed Feb  1 04:28:24 2017  read 1151371 cycles
Wed Feb  1 04:28:25 2017  cycles contain 3739544 unique relations
Wed Feb  1 04:28:44 2017  read 3739544 relations
Wed Feb  1 04:28:55 2017  multiplying 3739544 relations
Wed Feb  1 04:30:47 2017  multiply complete, coefficients have about 125.51 million bits
Wed Feb  1 04:30:47 2017  initial square root is modulo 1021122031
Wed Feb  1 04:33:00 2017  Newton iteration failed to converge
Wed Feb  1 04:33:00 2017  algebraic square root failed
Wed Feb  1 04:33:00 2017  reading relations for dependency 2
Wed Feb  1 04:33:00 2017  read 1152915 cycles
Wed Feb  1 04:33:02 2017  cycles contain 3744996 unique relations
Wed Feb  1 04:33:20 2017  read 3744996 relations
Wed Feb  1 04:33:31 2017  multiplying 3744996 relations
Wed Feb  1 04:35:22 2017  multiply complete, coefficients have about 125.70 million bits
Wed Feb  1 04:35:22 2017  initial square root is modulo 1052983081
Wed Feb  1 04:37:34 2017  GCD is N, no factor found
Wed Feb  1 04:37:34 2017  reading relations for dependency 3
Wed Feb  1 04:37:34 2017  read 1153635 cycles
Wed Feb  1 04:37:35 2017  cycles contain 3748392 unique relations
Wed Feb  1 04:37:54 2017  read 3748392 relations
Wed Feb  1 04:38:05 2017  multiplying 3748392 relations
Wed Feb  1 04:39:55 2017  multiply complete, coefficients have about 125.82 million bits
Wed Feb  1 04:39:55 2017  initial square root is modulo 1073326571
Wed Feb  1 04:42:07 2017  sqrtTime: 823
Wed Feb  1 04:42:07 2017  p68 factor: 15964242420768894049006711134931368230692551691316102211510251544923
Wed Feb  1 04:42:07 2017  p74 factor: 54750334816681090249544911329337460535598932090339300643402241759069937593
Wed Feb  1 04:42:07 2017  elapsed time 00:13:44
software ソフトウェア
Msieve 1.53 snfs
execution environment 実行環境
64-bit Ubuntu 16.04.1 LTS, Core i7-2600K 3.4GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2008 06:00:00 UTC 2008 年 11 月 13 日 (木) 15 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosMay 8, 2011 21:25:23 UTC 2011 年 5 月 9 日 (月) 6 時 25 分 23 秒 (日本時間)
403e61110110Ignacio SantosMay 8, 2011 21:25:23 UTC 2011 年 5 月 9 日 (月) 6 時 25 分 23 秒 (日本時間)
1000Dmitry DomanovJune 27, 2013 06:10:15 UTC 2013 年 6 月 27 日 (木) 15 時 10 分 15 秒 (日本時間)
4511e61032 / 422032Ignacio SantosMay 8, 2011 21:25:23 UTC 2011 年 5 月 9 日 (月) 6 時 25 分 23 秒 (日本時間)
1000Dmitry DomanovAugust 15, 2013 22:33:09 UTC 2013 年 8 月 16 日 (金) 7 時 33 分 9 秒 (日本時間)

29×10189+439

c163

name 名前Dmitry Domanov
date 日付August 18, 2013 07:23:28 UTC 2013 年 8 月 18 日 (日) 16 時 23 分 28 秒 (日本時間)
composite number 合成数
1560046153575572788842877866118007325030956350329052563016093324314419436538292892373660813149281364756402592887499139726336790768342551688636293035126197871660997<163>
prime factors 素因数
17236663265959036893569761874542266841711<41>
32140309417393322004084706706704709004889<41>
2816010022873719021101747934352195538685868023632466537870782749732975806334269443<82>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=318108496
Step 1 took 219473ms
Step 2 took 65198ms
********** Factor found in step 2: 17236663265959036893569761874542266841711
Found probable prime factor of 41 digits: 17236663265959036893569761874542266841711

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2100776118
Step 1 took 144053ms
Step 2 took 49780ms
********** Factor found in step 2: 32140309417393322004084706706704709004889
Found probable prime factor of 41 digits: 32140309417393322004084706706704709004889

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2008 06:00:00 UTC 2008 年 11 月 13 日 (木) 15 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosMay 8, 2011 22:46:55 UTC 2011 年 5 月 9 日 (月) 7 時 46 分 55 秒 (日本時間)
403e61110110Ignacio SantosMay 8, 2011 22:46:55 UTC 2011 年 5 月 9 日 (月) 7 時 46 分 55 秒 (日本時間)
1000Dmitry DomanovJune 27, 2013 06:10:24 UTC 2013 年 6 月 27 日 (木) 15 時 10 分 24 秒 (日本時間)
4511e61032 / 422032Ignacio SantosMay 8, 2011 22:46:55 UTC 2011 年 5 月 9 日 (月) 7 時 46 分 55 秒 (日本時間)
1000Dmitry DomanovAugust 17, 2013 23:46:58 UTC 2013 年 8 月 18 日 (日) 8 時 46 分 58 秒 (日本時間)

29×10191+439

c188

name 名前Wataru Sakai
date 日付September 6, 2009 09:43:46 UTC 2009 年 9 月 6 日 (日) 18 時 43 分 46 秒 (日本時間)
composite number 合成数
76121479381578601989657978318502769246922329842244796178176759324881224243378743733102344016589232747985405674987531826653017297949969813896107305037142032181011628212195185972648764994619<188>
prime factors 素因数
89772704053724486006486540198851407887<38>
composite cofactor 合成数の残り
847935685840806277833661045834924473041673739231006872680426030083019421217724220292086043060147725435599367453149401122050672500972766551928528604437<150>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3208370085
Step 1 took 70078ms
Step 2 took 21614ms
********** Factor found in step 2: 89772704053724486006486540198851407887
Found probable prime factor of 38 digits: 89772704053724486006486540198851407887
Composite cofactor 847935685840806277833661045834924473041673739231006872680426030083019421217724220292086043060147725435599367453149401122050672500972766551928528604437 has 150 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2008 06:00:00 UTC 2008 年 11 月 13 日 (木) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiSeptember 7, 2009 15:39:32 UTC 2009 年 9 月 8 日 (火) 0 時 39 分 32 秒 (日本時間)
4511e60--
5043e61140yoyo@homeJanuary 24, 2010 11:00:20 UTC 2010 年 1 月 24 日 (日) 20 時 0 分 20 秒 (日本時間)
5511e72635 / 17344yoyo@homeAugust 12, 2010 23:40:40 UTC 2010 年 8 月 13 日 (金) 8 時 40 分 40 秒 (日本時間)

29×10193+439

c119

name 名前Serge Batalov
date 日付November 24, 2008 15:15:38 UTC 2008 年 11 月 25 日 (火) 0 時 15 分 38 秒 (日本時間)
composite number 合成数
34093769070263942955503177408570636568154822681818558606509181335014782811074308996491335063579593027737149761680752317<119>
prime factors 素因数
5149427821374870752051649514844128520721202945360567979<55>
6620884931864348748165073996244706685224112510911662888370567223<64>
factorization results 素因数分解の結果
Number: 32227_193
N=34093769070263942955503177408570636568154822681818558606509181335014782811074308996491335063579593027737149761680752317
  ( 119 digits)
Divisors found:
 r1=5149427821374870752051649514844128520721202945360567979 (pp55)
 r2=6620884931864348748165073996244706685224112510911662888370567223 (pp64)
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.950).
Factorization parameters were as follows:
name: 32227_193
n: 34093769070263942955503177408570636568154822681818558606509181335014782811074308996491335063579593027737149761680752317
Y0: -78144654374057956235581
Y1:  3845840165363
c0: -1871596898878390306911020084352
c1: -15959543399998484701121224
c2:  195713673571504411046
c3:  1015716197615315
c4: -3952249560
c5: 11700
skew: 142699.88
# norm 6.915e+16
# alpha -7.327632
# Murphy_E 2.169e-11
# M
type: gnfs
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [2250000, 4050001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 618901 x 619149
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,118,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,27,27,50,50,2.5,2.5,100000
total time: 50.00 hours.
software ソフトウェア
***Msieve-1.39-beta (and it's own poly. select!)***
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2008 06:00:00 UTC 2008 年 11 月 13 日 (木) 15 時 0 分 0 秒 (日本時間)

29×10194+439

c172

composite cofactor 合成数の残り
6557352121789026361052704785925734589391036014241954511833716941994626337315602881826372034344182522294102322613839145131554466866933332595536074463787267044823916230047021<172>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2008 06:00:00 UTC 2008 年 11 月 13 日 (木) 15 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosMay 9, 2011 10:23:19 UTC 2011 年 5 月 9 日 (月) 19 時 23 分 19 秒 (日本時間)
403e61110110Ignacio SantosMay 9, 2011 10:23:19 UTC 2011 年 5 月 9 日 (月) 19 時 23 分 19 秒 (日本時間)
1000Dmitry DomanovJune 27, 2013 06:10:42 UTC 2013 年 6 月 27 日 (木) 15 時 10 分 42 秒 (日本時間)
4511e61032 / 422032Ignacio SantosMay 9, 2011 10:23:19 UTC 2011 年 5 月 9 日 (月) 19 時 23 分 19 秒 (日本時間)
1000Dmitry DomanovJuly 3, 2013 21:29:06 UTC 2013 年 7 月 4 日 (木) 6 時 29 分 6 秒 (日本時間)

29×10195+439

c170

name 名前Dmitry Domanov
date 日付July 5, 2013 05:03:13 UTC 2013 年 7 月 5 日 (金) 14 時 3 分 13 秒 (日本時間)
composite number 合成数
17354404203113403015009905890397086469251884429472968892332106390107183075135936093317932318241291203710727616404188424476368546225191273540641093719388177072021079219267<170>
prime factors 素因数
29585920936550592282886264866820699593737<41>
586576440879813434560534689602728822250503899732505932454569551402319340054514396052562985070945513151928684489829636220509331691<129>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2059650029
Step 1 took 220996ms
Step 2 took 67893ms
********** Factor found in step 2: 29585920936550592282886264866820699593737
Found probable prime factor of 41 digits: 29585920936550592282886264866820699593737

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2008 06:00:00 UTC 2008 年 11 月 13 日 (木) 15 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosMay 9, 2011 12:07:12 UTC 2011 年 5 月 9 日 (月) 21 時 7 分 12 秒 (日本時間)
403e61110110Ignacio SantosMay 9, 2011 12:07:12 UTC 2011 年 5 月 9 日 (月) 21 時 7 分 12 秒 (日本時間)
1000Dmitry DomanovJune 27, 2013 06:10:53 UTC 2013 年 6 月 27 日 (木) 15 時 10 分 53 秒 (日本時間)
4511e61032 / 422032Ignacio SantosMay 9, 2011 12:07:12 UTC 2011 年 5 月 9 日 (月) 21 時 7 分 12 秒 (日本時間)
1000Dmitry DomanovJuly 4, 2013 21:41:51 UTC 2013 年 7 月 5 日 (金) 6 時 41 分 51 秒 (日本時間)

29×10198+439

c193

name 名前Robert Backstrom
date 日付April 14, 2010 05:08:36 UTC 2010 年 4 月 14 日 (水) 14 時 8 分 36 秒 (日本時間)
composite number 合成数
3168581309238129920793115568758706086877473473784524015169419125840862264939068727730473044059341627805109523105568060525584600520018823558205363621474284067247784478780939694140124061977013363<193>
prime factors 素因数
52248958673247001424876046645871495333763108042269891846155328226213<68>
60643913097937709550796922661846406986060839613270787593308603449715922803493739506134258433850017646455012230363582560490551<125>
factorization results 素因数分解の結果
Number: n
N=3168581309238129920793115568758706086877473473784524015169419125840862264939068727730473044059341627805109523105568060525584600520018823558205363621474284067247784478780939694140124061977013363
  ( 193 digits)
SNFS difficulty: 199 digits.
Divisors found:

Wed Apr 14 11:43:24 2010  prp68 factor: 52248958673247001424876046645871495333763108042269891846155328226213
Wed Apr 14 11:43:24 2010  prp125 factor: 60643913097937709550796922661846406986060839613270787593308603449715922803493739506134258433850017646455012230363582560490551
Wed Apr 14 11:43:24 2010  elapsed time 07:51:49 (Msieve 1.42 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.004).
Factorization parameters were as follows:
name: KA_3_2_197_7
n: 3168581309238129920793115568758706086877473473784524015169419125840862264939068727730473044059341627805109523105568060525584600520018823558205363621474284067247784478780939694140124061977013363
m: 1000000000000000000000000000000000000000
deg: 5
c5: 29000
c0: 43
skew: 0.27
type: snfs
lss: 1
rlim: 14800000
alim: 14800000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 14800000/14800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 19700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4732396 hash collisions in 29782189 relations
Msieve: matrix is 2348669 x 2348895 (668.3 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,199,5,0,0,0,0,0,0,0,0,14800000,14800000,28,28,56,56,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6060216k/7077888k available (3972k kernel code, 787972k absent, 229700k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.79 BogoMIPS (lpj=2798398)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797551)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44762.55 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2008 06:00:00 UTC 2008 年 11 月 13 日 (木) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62836500Erik BrangerDecember 20, 2009 05:59:55 UTC 2009 年 12 月 20 日 (日) 14 時 59 分 55 秒 (日本時間)
2336Wataru SakaiDecember 20, 2009 07:06:17 UTC 2009 年 12 月 20 日 (日) 16 時 6 分 17 秒 (日本時間)
4511e6722 / 3852Dmitry DomanovDecember 22, 2009 05:33:14 UTC 2009 年 12 月 22 日 (火) 14 時 33 分 14 秒 (日本時間)

29×10200+439

c195

name 名前Serge Batalov
date 日付November 16, 2008 00:04:42 UTC 2008 年 11 月 16 日 (日) 9 時 4 分 42 秒 (日本時間)
composite number 合成数
485310244614771605468208078942907266081717208381676090889572004895274232921137587295180250082042533593928199855444486448882857653986848761764380537452646689623514720547483507400730207834948998077<195>
prime factors 素因数
16654256710134409897367986445675537<35>
composite cofactor 合成数の残り
29140312477557268243815160436071115345823312713892485599178823150597069361988015232115946254249741167966868789607546618400348250638379344509930808316538620381421<161>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1534676880
Step 1 took 155712ms
Step 2 took 48401ms
********** Factor found in step 2: 16654256710134409897367986445675537
Found probable prime factor of 35 digits: 16654256710134409897367986445675537
Composite cofactor 29140312477557268243815160436071115345823312713892485599178823150597069361988015232115946254249741167966868789607546618400348250638379344509930808316538620381421 has 161 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2008 06:00:00 UTC 2008 年 11 月 13 日 (木) 15 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosMay 9, 2011 12:26:17 UTC 2011 年 5 月 9 日 (月) 21 時 26 分 17 秒 (日本時間)
403e61110110Ignacio SantosMay 9, 2011 12:26:17 UTC 2011 年 5 月 9 日 (月) 21 時 26 分 17 秒 (日本時間)
1000Dmitry DomanovJune 27, 2013 06:11:02 UTC 2013 年 6 月 27 日 (木) 15 時 11 分 2 秒 (日本時間)
4511e61032 / 422032Ignacio SantosMay 9, 2011 12:26:17 UTC 2011 年 5 月 9 日 (月) 21 時 26 分 17 秒 (日本時間)
1000Dmitry DomanovJune 27, 2013 15:30:20 UTC 2013 年 6 月 28 日 (金) 0 時 30 分 20 秒 (日本時間)

29×10202+439

c196

name 名前Wataru Sakai
date 日付December 17, 2009 13:32:13 UTC 2009 年 12 月 17 日 (木) 22 時 32 分 13 秒 (日本時間)
composite number 合成数
3558191267332394437084509852343283054495674668830243271205718754451956767779787910451319385297183140705741226270253730815689704519576511927922136664899717961809638656719976101715093588466935256121<196>
prime factors 素因数
3674105515071385923953475204266498683006339<43>
968451029165192787220172854208092971645574837169322265433382588380652505264113029568531164766001228858681871429432540061664423654443730298774148095125139<153>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1735727886
Step 1 took 75389ms
Step 2 took 22706ms
********** Factor found in step 2: 3674105515071385923953475204266498683006339
Found probable prime factor of 43 digits: 3674105515071385923953475204266498683006339
Probable prime cofactor 968451029165192787220172854208092971645574837169322265433382588380652505264113029568531164766001228858681871429432540061664423654443730298774148095125139 has 153 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2008 06:00:00 UTC 2008 年 11 月 13 日 (木) 15 時 0 分 0 秒 (日本時間)
351e6825Wataru SakaiDecember 17, 2009 08:50:24 UTC 2009 年 12 月 17 日 (木) 17 時 50 分 24 秒 (日本時間)

29×10203+439

c180

composite cofactor 合成数の残り
219380037712823912585073322693054214216735989761044477777926125081767762178147017473521968384559285165516880995862274385482306039520436532355662240418068185486263968699378101874329<180>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2008 06:00:00 UTC 2008 年 11 月 13 日 (木) 15 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosMay 9, 2011 15:44:28 UTC 2011 年 5 月 10 日 (火) 0 時 44 分 28 秒 (日本時間)
403e61110110Ignacio SantosMay 9, 2011 15:44:28 UTC 2011 年 5 月 10 日 (火) 0 時 44 分 28 秒 (日本時間)
1000Dmitry DomanovJune 27, 2013 06:11:12 UTC 2013 年 6 月 27 日 (木) 15 時 11 分 12 秒 (日本時間)
4511e61532 / 422032Ignacio SantosMay 9, 2011 15:44:28 UTC 2011 年 5 月 10 日 (火) 0 時 44 分 28 秒 (日本時間)
1500Dmitry DomanovAugust 15, 2013 14:33:25 UTC 2013 年 8 月 15 日 (木) 23 時 33 分 25 秒 (日本時間)

29×10204+439

c177

name 名前Dmitry Domanov
date 日付August 16, 2013 04:56:53 UTC 2013 年 8 月 16 日 (金) 13 時 56 分 53 秒 (日本時間)
composite number 合成数
792911441856912340480901164470940449806678841639389403061644635716551415394406099262339630659994862303589923495859391453557222662732128141441036482218163558015400143193433004799<177>
prime factors 素因数
5411859399677649868906239879598489493443<40>
146513681028768235325469460694132255834589390105975804882065577045086925708355901920403911913781816286272155950386432977394515255673782293<138>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3606673076
Step 1 took 87454ms
Step 2 took 23857ms
********** Factor found in step 2: 5411859399677649868906239879598489493443
Found probable prime factor of 40 digits: 5411859399677649868906239879598489493443

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2008 06:00:00 UTC 2008 年 11 月 13 日 (木) 15 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosMay 9, 2011 15:44:48 UTC 2011 年 5 月 10 日 (火) 0 時 44 分 48 秒 (日本時間)
403e61110110Ignacio SantosMay 9, 2011 15:44:48 UTC 2011 年 5 月 10 日 (火) 0 時 44 分 48 秒 (日本時間)
1000Dmitry DomanovJune 27, 2013 06:11:21 UTC 2013 年 6 月 27 日 (木) 15 時 11 分 21 秒 (日本時間)
4511e61532 / 422032Ignacio SantosMay 9, 2011 15:44:48 UTC 2011 年 5 月 10 日 (火) 0 時 44 分 48 秒 (日本時間)
1500Dmitry DomanovAugust 15, 2013 14:33:40 UTC 2013 年 8 月 15 日 (木) 23 時 33 分 40 秒 (日本時間)

29×10205+439

c183

composite cofactor 合成数の残り
910023923979794299097113681926801915502490706265126391290972971441081693397725131417139560625054096282081679222649957201342185530564949327676811194047845033942643931353010463256162057<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2008 06:00:00 UTC 2008 年 11 月 13 日 (木) 15 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosMay 9, 2011 16:37:59 UTC 2011 年 5 月 10 日 (火) 1 時 37 分 59 秒 (日本時間)
403e61110110Ignacio SantosMay 9, 2011 16:37:59 UTC 2011 年 5 月 10 日 (火) 1 時 37 分 59 秒 (日本時間)
1000Dmitry DomanovJune 27, 2013 06:11:30 UTC 2013 年 6 月 27 日 (木) 15 時 11 分 30 秒 (日本時間)
4511e61532 / 422032Ignacio SantosMay 9, 2011 16:37:59 UTC 2011 年 5 月 10 日 (火) 1 時 37 分 59 秒 (日本時間)
1500Dmitry DomanovAugust 15, 2013 14:33:52 UTC 2013 年 8 月 15 日 (木) 23 時 33 分 52 秒 (日本時間)

29×10206+439

c194

name 名前Dmitry Domanov
date 日付May 24, 2013 11:58:15 UTC 2013 年 5 月 24 日 (金) 20 時 58 分 15 秒 (日本時間)
composite number 合成数
24563675499377893244571343353423515541532117775877798972133387642665168951849889717737340365307668104186787024695954469692201081668430888324559929934355507098404185391217534567038049753318181049<194>
prime factors 素因数
1780616172897899390850251146037<31>
composite cofactor 合成数の残り
13795042341663812053279489345826641322188225956638657448500524229192310552536786039511467005651454318090924569402925508505794165201977249871092853391996932353522677<164>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2244594495
Step 1 took 26856ms
Step 2 took 8920ms
********** Factor found in step 2: 1780616172897899390850251146037
Found probable prime factor of 31 digits: 1780616172897899390850251146037

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 23, 2013 14:00:00 UTC 2013 年 5 月 23 日 (木) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 27, 2013 06:11:41 UTC 2013 年 6 月 27 日 (木) 15 時 11 分 41 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovJune 27, 2013 15:30:40 UTC 2013 年 6 月 28 日 (金) 0 時 30 分 40 秒 (日本時間)

29×10207+439

c175

composite cofactor 合成数の残り
2574103293232774358592577019326639598872958550346214334416270776939151868785768941224713841240873530441575711788225817094328430441868801578126831154893163243760787272949803953<175>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 23, 2013 14:00:00 UTC 2013 年 5 月 23 日 (木) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 27, 2013 06:11:51 UTC 2013 年 6 月 27 日 (木) 15 時 11 分 51 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovAugust 15, 2013 14:34:09 UTC 2013 年 8 月 15 日 (木) 23 時 34 分 9 秒 (日本時間)

29×10208+439

c148

composite cofactor 合成数の残り
2329027829990217736808573875306071357783420024748801411510471893546439597680057808803923626088939904367339942595232167335122750431260185580776382339<148>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 23, 2013 14:00:00 UTC 2013 年 5 月 23 日 (木) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 27, 2013 06:12:01 UTC 2013 年 6 月 27 日 (木) 15 時 12 分 1 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovJune 27, 2013 15:30:57 UTC 2013 年 6 月 28 日 (金) 0 時 30 分 57 秒 (日本時間)

29×10211+439

c149

composite cofactor 合成数の残り
83525671291246290085707454772747418181042165099299133139200385012981248248898351960937571907055036857674116093987798743900981325264272638903923514601<149>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 23, 2013 14:00:00 UTC 2013 年 5 月 23 日 (木) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 27, 2013 06:12:11 UTC 2013 年 6 月 27 日 (木) 15 時 12 分 11 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovJune 27, 2013 15:31:10 UTC 2013 年 6 月 28 日 (金) 0 時 31 分 10 秒 (日本時間)

29×10212+439

c203

name 名前Dmitry Domanov
date 日付May 24, 2013 11:59:27 UTC 2013 年 5 月 24 日 (金) 20 時 59 分 27 秒 (日本時間)
composite number 合成数
15906282467274548462259130781818858862662716599843644800869038869399486751749970647625493883078015129741256604347806732301714059234173136472561236930027292468582983955076416622465601959749314800708270617<203>
prime factors 素因数
141484096422124039659654653421449486981<39>
composite cofactor 合成数の残り
112424525932705916421331945695436402686522964317674011791719748754596800487388132236678245630491257921641907868339261360404955792874126391507633056640256191655546757<165>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3256767841
Step 1 took 20487ms
Step 2 took 7803ms
********** Factor found in step 2: 141484096422124039659654653421449486981
Found probable prime factor of 39 digits: 141484096422124039659654653421449486981

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 23, 2013 14:00:00 UTC 2013 年 5 月 23 日 (木) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 27, 2013 06:12:19 UTC 2013 年 6 月 27 日 (木) 15 時 12 分 19 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovJune 27, 2013 15:31:27 UTC 2013 年 6 月 28 日 (金) 0 時 31 分 27 秒 (日本時間)

29×10214+439

c169

name 名前Dmitry Domanov
date 日付August 16, 2013 04:55:57 UTC 2013 年 8 月 16 日 (金) 13 時 55 分 57 秒 (日本時間)
composite number 合成数
9148011870589396350376969219388994275503717944087526487711477133818212768033931763947574267186322903831650134067259503772179119735669482037820190536439438303004365768117<169>
prime factors 素因数
9481999643190869324818287758122244458891<40>
964776652059746347556140411332942103821106435430553316140997842871142226181061507836031750719591128563324963992663926713289610687<129>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2326199318
Step 1 took 63832ms
Step 2 took 26751ms
********** Factor found in step 2: 9481999643190869324818287758122244458891
Found probable prime factor of 40 digits: 9481999643190869324818287758122244458891

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 23, 2013 14:00:00 UTC 2013 年 5 月 23 日 (木) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 27, 2013 06:12:30 UTC 2013 年 6 月 27 日 (木) 15 時 12 分 30 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovAugust 15, 2013 14:34:26 UTC 2013 年 8 月 15 日 (木) 23 時 34 分 26 秒 (日本時間)

29×10216+439

c217

name 名前Serge Batalov
date 日付November 15, 2013 16:18:51 UTC 2013 年 11 月 16 日 (土) 1 時 18 分 51 秒 (日本時間)
composite number 合成数
3222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227<217>
prime factors 素因数
36984947500531772596436707364924096075375220688338347<53>
87122530650500256838003327736477432611719260806221175191544906956085986083313947022048031164992589713123256626042667118266937415549867234935308692000580388689050041<164>
factorization results 素因数分解の結果
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=513996634
Step 1 took 670070ms
Step 2 took 166462ms
********** Factor found in step 2: 36984947500531772596436707364924096075375220688338347
Found probable prime factor of 53 digits: 36984947500531772596436707364924096075375220688338347
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 23, 2013 14:00:00 UTC 2013 年 5 月 23 日 (木) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e63200200Serge BatalovMay 25, 2013 04:15:18 UTC 2013 年 5 月 25 日 (土) 13 時 15 分 18 秒 (日本時間)
500Serge BatalovMay 25, 2013 04:16:04 UTC 2013 年 5 月 25 日 (土) 13 時 16 分 4 秒 (日本時間)
700Serge BatalovMay 25, 2013 06:36:58 UTC 2013 年 5 月 25 日 (土) 15 時 36 分 58 秒 (日本時間)
1000Serge BatalovMay 25, 2013 07:23:00 UTC 2013 年 5 月 25 日 (土) 16 時 23 分 0 秒 (日本時間)
800Serge BatalovMay 25, 2013 19:57:05 UTC 2013 年 5 月 26 日 (日) 4 時 57 分 5 秒 (日本時間)
5043e6500 / 5352Dmitry DomanovJune 27, 2013 06:13:09 UTC 2013 年 6 月 27 日 (木) 15 時 13 分 9 秒 (日本時間)
5511e7615 / 17391yoyo@homeSeptember 30, 2013 23:35:12 UTC 2013 年 10 月 1 日 (火) 8 時 35 分 12 秒 (日本時間)

29×10217+439

c138

name 名前Erik Branger
date 日付April 13, 2014 10:12:35 UTC 2014 年 4 月 13 日 (日) 19 時 12 分 35 秒 (日本時間)
composite number 合成数
640358874648647909568697421329287161720710853200048630098139810194912838862188975149604309243570387432410763997140475323961138489789934067<138>
prime factors 素因数
23667673146269770044966975366424006492491090629649810410753<59>
27056266608514238576221719345528757281033927227122422122330291254806804100829939<80>
factorization results 素因数分解の結果
Number: 32227_217
N = 640358874648647909568697421329287161720710853200048630098139810194912838862188975149604309243570387432410763997140475323961138489789934067 (138 digits)
Divisors found:
r1=23667673146269770044966975366424006492491090629649810410753 (pp59)
r2=27056266608514238576221719345528757281033927227122422122330291254806804100829939 (pp80)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 145.28 hours.
Factorization parameters were as follows:
# Murphy_E = 2.699e-11, selected by Erik Branger
# expecting poly E from 2.79e-011 to > 3.21e-011
n: 640358874648647909568697421329287161720710853200048630098139810194912838862188975149604309243570387432410763997140475323961138489789934067
Y0: -731373329334940831038758288
Y1: 541429891648657
c0: 63220042422600068685096624243013395
c1: 90606040990447417044333173759
c2: -300779896244425717243795
c3: -47610971580837667
c4: 61017897648
c5: 3060
skew: 2243969.99
type: gnfs
# selected mechanically
rlim: 15900000
alim: 15900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 15900000/15900000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23213913
Relations: 3873124 relations
Pruned matrix : 2363916 x 2364143
Polynomial selection time: 0.00 hours.
Total sieving time: 140.49 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 4.21 hours.
time per square root: 0.43 hours.
Prototype def-par.txt line would be: gnfs,137,5,65,2000,1e-05,0.28,250,20,50000,3600,15900000,15900000,28,28,55,55,2.6,2.6,100000
total time: 145.28 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 23, 2013 14:00:00 UTC 2013 年 5 月 23 日 (木) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 23, 2013 20:34:03 UTC 2013 年 5 月 24 日 (金) 5 時 34 分 3 秒 (日本時間)
403e61110110Ignacio SantosMay 23, 2013 20:34:03 UTC 2013 年 5 月 24 日 (金) 5 時 34 分 3 秒 (日本時間)
1000Dmitry DomanovJune 27, 2013 06:13:50 UTC 2013 年 6 月 27 日 (木) 15 時 13 分 50 秒 (日本時間)
4511e63132 / 421632Ignacio SantosMay 23, 2013 20:34:03 UTC 2013 年 5 月 24 日 (金) 5 時 34 分 3 秒 (日本時間)
1000Dmitry DomanovAugust 18, 2013 20:58:07 UTC 2013 年 8 月 19 日 (月) 5 時 58 分 7 秒 (日本時間)
850Serge BatalovNovember 8, 2013 01:45:55 UTC 2013 年 11 月 8 日 (金) 10 時 45 分 55 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:09:02 UTC 2013 年 11 月 9 日 (土) 2 時 9 分 2 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:23:17 UTC 2014 年 1 月 6 日 (月) 11 時 23 分 17 秒 (日本時間)

29×10218+439

c211

name 名前Dmitry Domanov
date 日付May 24, 2013 12:00:27 UTC 2013 年 5 月 24 日 (金) 21 時 0 分 27 秒 (日本時間)
composite number 合成数
4259318427067133190107729428183402144899054865612797608070169985741285323976251115561393876760061079624980877312584272175605671078038355388620235316562613647152630136398929890600860243967855205827178827500316449<211>
prime factors 素因数
10121652711911929722736797126444317<35>
420812543988438147030214459643846554818603016645544960491513318598494015830356015199754590225061637219527469071001725519793156585138670722288480860836804622691805633615921258197<177>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=117569188
Step 1 took 21091ms
Step 2 took 8377ms
********** Factor found in step 2: 10121652711911929722736797126444317
Found probable prime factor of 35 digits: 10121652711911929722736797126444317

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 23, 2013 14:00:00 UTC 2013 年 5 月 23 日 (木) 23 時 0 分 0 秒 (日本時間)

29×10219+439

c208

name 名前Bob Backstrom
date 日付December 15, 2019 05:26:38 UTC 2019 年 12 月 15 日 (日) 14 時 26 分 38 秒 (日本時間)
composite number 合成数
4433315692795240204530528966715401379762868602943148849356521702946693143585544169443694696720598875772247571332433497504341258755019995200205619914221890369824240405781865125800232926135822607931958023435299<208>
prime factors 素因数
1014373608873173511067611757936605575301667833551221770235376945060763794497529<79>
4370495894229770772446337612275159787832546698447008309060301019547042075477818844811982848967549342192340216769282139557409371131<130>
factorization results 素因数分解の結果
Number: n
N=4433315692795240204530528966715401379762868602943148849356521702946693143585544169443694696720598875772247571332433497504341258755019995200205619914221890369824240405781865125800232926135822607931958023435299
  ( 208 digits)
SNFS difficulty: 220 digits.
Divisors found:

Sun Dec 15 16:20:40 2019  p79 factor: 1014373608873173511067611757936605575301667833551221770235376945060763794497529
Sun Dec 15 16:20:40 2019  p130 factor: 4370495894229770772446337612275159787832546698447008309060301019547042075477818844811982848967549342192340216769282139557409371131
Sun Dec 15 16:20:40 2019  elapsed time 09:40:10 (Msieve 1.54 - dependency 5)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.132).
Factorization parameters were as follows:
#
# N = 29x10^219+43 = 32(218)7
#
n: 4433315692795240204530528966715401379762868602943148849356521702946693143585544169443694696720598875772247571332433497504341258755019995200205619914221890369824240405781865125800232926135822607931958023435299
m: 1000000000000000000000000000000000000
deg: 6
c6: 29000
c0: 43
skew: 0.34
# Murphy_E = 2.54e-12
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  special-q in [100000, 78100000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9139132 hash collisions in 57228286 relations (50351967 unique)
Msieve: matrix is 4415652 x 4415877 (1560.5 MB)

Sieving start time: 2019/12/13 17:13:23
Sieving end time  : 2019/12/15 06:39:04

Total sieving time: 37hrs 25min 41secs.

Total relation processing time: 8hrs 26min 14sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 55min 18sec.

Prototype def-par.txt line would be:
snfs,220,6,0,0,0,0,0,0,0,0,33000000,33000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149711] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283564K/16703460K available (12300K kernel code, 2481K rwdata, 4264K rodata, 2432K init, 2388K bss, 419896K reserved, 0K cma-reserved)
[    0.184572] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.54 BogoMIPS (lpj=11977084)
[    0.182221] smpboot: Total of 16 processors activated (95816.67 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 23, 2013 14:00:00 UTC 2013 年 5 月 23 日 (木) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 27, 2013 06:13:59 UTC 2013 年 6 月 27 日 (木) 15 時 13 分 59 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovAugust 16, 2013 12:50:41 UTC 2013 年 8 月 16 日 (金) 21 時 50 分 41 秒 (日本時間)

29×10221+439

c184

name 名前Dmitry Domanov
date 日付May 24, 2013 11:44:42 UTC 2013 年 5 月 24 日 (金) 20 時 44 分 42 秒 (日本時間)
composite number 合成数
2379714032535688580370981833558665396783975469725448793802564885712189661523749475124786978343103511293864232707827783351184083825022634098492646034053183320206897746798763257051911489<184>
prime factors 素因数
940841490810410445578121705731151259<36>
composite cofactor 合成数の残り
2529346394455754541414492903467168640849724842376332736747871124899288496161493539835285165445812982688796135085993415319037728942489682261936421971<148>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1292279271
Step 1 took 31958ms
Step 2 took 11420ms
********** Factor found in step 2: 940841490810410445578121705731151259
Found probable prime factor of 36 digits: 940841490810410445578121705731151259

c148

name 名前Serge Batalov
date 日付November 8, 2013 03:05:29 UTC 2013 年 11 月 8 日 (金) 12 時 5 分 29 秒 (日本時間)
composite number 合成数
2529346394455754541414492903467168640849724842376332736747871124899288496161493539835285165445812982688796135085993415319037728942489682261936421971<148>
prime factors 素因数
25117954436105575143322205306782209113083171<44>
100698741248609344255552470920154749470433353180597455528360471631654971077871775648140881018059746262801<105>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2097587516
Step 1 took 36166ms
Step 2 took 16053ms
********** Factor found in step 2: 25117954436105575143322205306782209113083171
Found probable prime factor of 44 digits: 25117954436105575143322205306782209113083171
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 23, 2013 14:00:00 UTC 2013 年 5 月 23 日 (木) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 24, 2013 15:59:16 UTC 2013 年 5 月 25 日 (土) 0 時 59 分 16 秒 (日本時間)
403e61110110Ignacio SantosMay 24, 2013 15:59:16 UTC 2013 年 5 月 25 日 (土) 0 時 59 分 16 秒 (日本時間)
1000Dmitry DomanovJune 27, 2013 06:14:08 UTC 2013 年 6 月 27 日 (木) 15 時 14 分 8 秒 (日本時間)
4511e61232 / 421632Ignacio SantosMay 24, 2013 15:59:16 UTC 2013 年 5 月 25 日 (土) 0 時 59 分 16 秒 (日本時間)
1200Dmitry DomanovAugust 19, 2013 21:37:57 UTC 2013 年 8 月 20 日 (火) 6 時 37 分 57 秒 (日本時間)

29×10222+439

c181

name 名前Dmitry Domanov
date 日付August 19, 2013 13:11:49 UTC 2013 年 8 月 19 日 (月) 22 時 11 分 49 秒 (日本時間)
composite number 合成数
4957301411488500962568513446105501190695955832162430775877722891549676567809567946569162330245492076809005021206268320894159754025253068155237952297936416899457341894899513639655419<181>
prime factors 素因数
70376976507420355126674202581569875691663<41>
70439249560057708872680196162150520601738106005301789601306001313091291785155530378817144882249962980077252357046341007824593627503466182613<140>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3754386521
Step 1 took 89094ms
Step 2 took 28305ms
********** Factor found in step 2: 70376976507420355126674202581569875691663
Found probable prime factor of 41 digits: 70376976507420355126674202581569875691663

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 23, 2013 14:00:00 UTC 2013 年 5 月 23 日 (木) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 27, 2013 06:14:17 UTC 2013 年 6 月 27 日 (木) 15 時 14 分 17 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovAugust 16, 2013 12:50:53 UTC 2013 年 8 月 16 日 (金) 21 時 50 分 53 秒 (日本時間)

29×10223+439

c199

composite cofactor 合成数の残り
2714832346002917413848577789397548974188696548497841130304642808165217310935682259679836500400869293863548121291979131767076199396289528431134238132203040203589154332883916578223897807413759221738381<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 23, 2013 14:00:00 UTC 2013 年 5 月 23 日 (木) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 27, 2013 06:14:27 UTC 2013 年 6 月 27 日 (木) 15 時 14 分 27 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovAugust 16, 2013 12:51:08 UTC 2013 年 8 月 16 日 (金) 21 時 51 分 8 秒 (日本時間)

29×10224+439

c136

name 名前Erik Branger
date 日付January 16, 2015 07:44:42 UTC 2015 年 1 月 16 日 (金) 16 時 44 分 42 秒 (日本時間)
composite number 合成数
3318125021022317590123257608331049250810896301189271435036968564141792095138844517544448990512379649750480312142971365137684913906860171<136>
prime factors 素因数
41213523569792703182590597646743783519522602105825672904176149<62>
80510588118078911902360660281705088832194646501248225196257825317347995679<74>
factorization results 素因数分解の結果
Number: 32227_224
N = 3318125021022317590123257608331049250810896301189271435036968564141792095138844517544448990512379649750480312142971365137684913906860171 (136 digits)
Divisors found:
r1=41213523569792703182590597646743783519522602105825672904176149 (pp62)
r2=80510588118078911902360660281705088832194646501248225196257825317347995679 (pp74)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 94.27 hours.
Factorization parameters were as follows:
# Murphy_E = 3.733e-11, selected by Erik Branger
# expecting poly E from 3.84e-011 to > 4.42e-011
n: 3318125021022317590123257608331049250810896301189271435036968564141792095138844517544448990512379649750480312142971365137684913906860171
Y0: -217353542614782649034899642
Y1: 180462981004537
c0: 31595927538752173017630289494991395
c1: 106560262744668746020921352142
c2: -243017729069239675129163
c3: 19301303434773032
c4: 57444242182
c5: 6840
skew: 1987012.12
type: gnfs
# selected mechanically
rlim: 13800000
alim: 13800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 13800000/13800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 22062067
Relations: 3502756 relations
Pruned matrix : 2076577 x 2076803
Polynomial selection time: 0.00 hours.
Total sieving time: 91.40 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 2.57 hours.
time per square root: 0.18 hours.
Prototype def-par.txt line would be: gnfs,135,5,65,2000,1e-05,0.28,250,20,50000,3600,13800000,13800000,28,28,55,55,2.6,2.6,100000
total time: 94.27 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 23, 2013 14:00:00 UTC 2013 年 5 月 23 日 (木) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 23, 2013 19:48:22 UTC 2013 年 5 月 24 日 (金) 4 時 48 分 22 秒 (日本時間)
403e61110110Ignacio SantosMay 23, 2013 19:48:22 UTC 2013 年 5 月 24 日 (金) 4 時 48 分 22 秒 (日本時間)
1000Dmitry DomanovJune 27, 2013 06:14:36 UTC 2013 年 6 月 27 日 (木) 15 時 14 分 36 秒 (日本時間)
4511e6513232Ignacio SantosMay 23, 2013 19:48:22 UTC 2013 年 5 月 24 日 (金) 4 時 48 分 22 秒 (日本時間)
1200Dmitry DomanovAugust 20, 2013 22:20:59 UTC 2013 年 8 月 21 日 (水) 7 時 20 分 59 秒 (日本時間)
850Serge BatalovNovember 8, 2013 01:45:33 UTC 2013 年 11 月 8 日 (金) 10 時 45 分 33 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:08:40 UTC 2013 年 11 月 9 日 (土) 2 時 8 分 40 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:23:00 UTC 2014 年 1 月 6 日 (月) 11 時 23 分 0 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:35:04 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 4 秒 (日本時間)

29×10225+439

c214

name 名前Dmitry Domanov
date 日付May 24, 2013 10:38:41 UTC 2013 年 5 月 24 日 (金) 19 時 38 分 41 秒 (日本時間)
composite number 合成数
2266167315399563722732058285100613180984832718897435516122632322474340932276708015873068135913506664328725590748333937100550650982995850333717955674853445238092125557409429229382756906377718401247612308245517037779<214>
prime factors 素因数
5115625967474996481611270709803382839<37>
442989250935817174286763646924820397865665491552073412919791553732935905287829861598701771216568418999583659611318194056874621073259771081972721167620138165222219914710832891461<177>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1126894132
Step 1 took 61111ms
Step 2 took 20067ms
********** Factor found in step 2: 5115625967474996481611270709803382839
Found probable prime factor of 37 digits: 5115625967474996481611270709803382839

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 23, 2013 14:00:00 UTC 2013 年 5 月 23 日 (木) 23 時 0 分 0 秒 (日本時間)

29×10228+439

c164

composite cofactor 合成数の残り
99604890879568731154372463278330487422233095445734585287551180305852005965947879922918046024075428201812304252977804960198665590203965888908482925366456946419460529<164>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 23, 2013 14:00:00 UTC 2013 年 5 月 23 日 (木) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 27, 2013 06:14:45 UTC 2013 年 6 月 27 日 (木) 15 時 14 分 45 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovAugust 15, 2013 14:34:52 UTC 2013 年 8 月 15 日 (木) 23 時 34 分 52 秒 (日本時間)

29×10229+439

c194

composite cofactor 合成数の残り
45622638938154643267663900689406612243991111646338745840449255106845541053693335423293965423911282930544682881043093419951154476051527612672907678432400850532988458985799972770345038461809509431<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 23, 2013 14:00:00 UTC 2013 年 5 月 23 日 (木) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 27, 2013 06:14:56 UTC 2013 年 6 月 27 日 (木) 15 時 14 分 56 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovAugust 16, 2013 12:51:39 UTC 2013 年 8 月 16 日 (金) 21 時 51 分 39 秒 (日本時間)

29×10230+439

c201

name 名前Dmitry Domanov
date 日付May 24, 2013 11:57:45 UTC 2013 年 5 月 24 日 (金) 20 時 57 分 45 秒 (日本時間)
composite number 合成数
854262244854808212945827436043839975756346736788619423979436081217587791415280034149054475954238217675066016402053090299085513661380496855366947035442970321840241258245605566652847671767612387548175771<201>
prime factors 素因数
6891285843897715420183103070281258753371<40>
123962677532998250033157041589209521083998812509183320435906048633089401533260468357367711366138905646039485369876511166736873235679955659476639259235776707294401<162>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=367246251
Step 1 took 21052ms
Step 2 took 7636ms
********** Factor found in step 2: 6891285843897715420183103070281258753371
Found probable prime factor of 40 digits: 6891285843897715420183103070281258753371

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 23, 2013 14:00:00 UTC 2013 年 5 月 23 日 (木) 23 時 0 分 0 秒 (日本時間)

29×10232+439

c228

composite cofactor 合成数の残り
807109240844180603216747795061048073096265867350204699602289963735746868276988758916469759843253819157433615264940566145385422493856228795987832132410445663457711650482734820084217674579120362252892373374301085144458638434542049<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 23, 2013 14:00:00 UTC 2013 年 5 月 23 日 (木) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e630501000Serge BatalovMay 25, 2013 19:57:35 UTC 2013 年 5 月 26 日 (日) 4 時 57 分 35 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:16:19 UTC 2013 年 11 月 9 日 (土) 2 時 16 分 19 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:29:06 UTC 2014 年 1 月 6 日 (月) 11 時 29 分 6 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:24:40 UTC 2014 年 2 月 24 日 (月) 4 時 24 分 40 秒 (日本時間)
5043e6500 / 6868Dmitry DomanovAugust 16, 2013 12:53:19 UTC 2013 年 8 月 16 日 (金) 21 時 53 分 19 秒 (日本時間)

29×10233+439

c179

composite cofactor 合成数の残り
56408612274483419069377457133671846248124327410113883651147801928131365562072700124716162577792952778206505056594968141083476749123218975184320839104446269667470902875333846973481<179>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 23, 2013 14:00:00 UTC 2013 年 5 月 23 日 (木) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 27, 2013 06:15:17 UTC 2013 年 6 月 27 日 (木) 15 時 15 分 17 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovAugust 16, 2013 12:53:39 UTC 2013 年 8 月 16 日 (金) 21 時 53 分 39 秒 (日本時間)

29×10234+439

c222

composite cofactor 合成数の残り
907500622205544614842388371313861363377174867120575562069944272422616857630057293691440453166893805725167051749806889951502301215610367260064044392706310235151287977776305757512540426482391244055611584854213385545177700297<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 23, 2013 14:00:00 UTC 2013 年 5 月 23 日 (木) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 27, 2013 06:15:26 UTC 2013 年 6 月 27 日 (木) 15 時 15 分 26 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovAugust 16, 2013 12:53:59 UTC 2013 年 8 月 16 日 (金) 21 時 53 分 59 秒 (日本時間)

29×10235+439

c233

composite cofactor 合成数の残り
12998072699565236878669714490610012998072699565236878669714490610012998072699565236878669714490610012998072699565236878669714490610012998072699565236878669714490610012998072699565236878669714490610012998072699565236878669714490610013<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 23, 2013 14:00:00 UTC 2013 年 5 月 23 日 (木) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e630501000Serge BatalovMay 25, 2013 19:58:25 UTC 2013 年 5 月 26 日 (日) 4 時 58 分 25 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:16:46 UTC 2013 年 11 月 9 日 (土) 2 時 16 分 46 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:29:27 UTC 2014 年 1 月 6 日 (月) 11 時 29 分 27 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:24:40 UTC 2014 年 2 月 24 日 (月) 4 時 24 分 40 秒 (日本時間)
5043e6500 / 6868Dmitry DomanovAugust 16, 2013 12:54:23 UTC 2013 年 8 月 16 日 (金) 21 時 54 分 23 秒 (日本時間)

29×10236+439

c220

composite cofactor 合成数の残り
6658229868905570832957291909582822466256140060585734481955485606033856746843861381219480432227121102479731266947975086170145038501961180922652201382838005745631410228867480945680630556938347114910402325529112422449758957<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 23, 2013 14:00:00 UTC 2013 年 5 月 23 日 (木) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 27, 2013 06:15:41 UTC 2013 年 6 月 27 日 (木) 15 時 15 分 41 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovAugust 16, 2013 12:54:41 UTC 2013 年 8 月 16 日 (金) 21 時 54 分 41 秒 (日本時間)

29×10237+439

c203

name 名前Dmitry Domanov
date 日付May 24, 2013 11:59:57 UTC 2013 年 5 月 24 日 (金) 20 時 59 分 57 秒 (日本時間)
composite number 合成数
12516983429936988297360737621093173152042167738032976758667338696373688038889000888365293491519140178956380242461874761550954486421568734325531427145209489213604825359260407682977358059962578006605505627<203>
prime factors 素因数
131017610650760957593989030460611479144173<42>
95536648605981038466600633501034907399513802794348411003963638971248789563034290698220339870837349728637605522390596377874461660852823199264618762725018022602599<161>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1316525186
Step 1 took 22362ms
Step 2 took 8397ms
********** Factor found in step 2: 131017610650760957593989030460611479144173
Found probable prime factor of 42 digits: 131017610650760957593989030460611479144173

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 23, 2013 14:00:00 UTC 2013 年 5 月 23 日 (木) 23 時 0 分 0 秒 (日本時間)

29×10238+439

c232

composite cofactor 合成数の残り
2663938719929494176919317095083588104624411142087206826539550124868453098460654033883444946394801248262893787210803157039288585795127330897005212032849524399212234739335387524038257724184474890324494651054479264603732731143555496361<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 23, 2013 14:00:00 UTC 2013 年 5 月 23 日 (木) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 27, 2013 06:15:51 UTC 2013 年 6 月 27 日 (木) 15 時 15 分 51 秒 (日本時間)
4511e62000 / 4254Dmitry DomanovAugust 16, 2013 12:54:59 UTC 2013 年 8 月 16 日 (金) 21 時 54 分 59 秒 (日本時間)

29×10239+439

c238

composite cofactor 合成数の残り
2106027596223674655047204066811909949164851125635439360929557007988380537400145243282498184458968772694262890341321713870733478576615831517792302106027596223674655047204066811909949164851125635439360929557007988380537400145243282498184459<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 23, 2013 14:00:00 UTC 2013 年 5 月 23 日 (木) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e630501000Serge BatalovMay 25, 2013 19:59:10 UTC 2013 年 5 月 26 日 (日) 4 時 59 分 10 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:17:27 UTC 2013 年 11 月 9 日 (土) 2 時 17 分 27 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:29:58 UTC 2014 年 1 月 6 日 (月) 11 時 29 分 58 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:24:41 UTC 2014 年 2 月 24 日 (月) 4 時 24 分 41 秒 (日本時間)
5043e6500 / 6868Dmitry DomanovAugust 16, 2013 12:55:17 UTC 2013 年 8 月 16 日 (金) 21 時 55 分 17 秒 (日本時間)

29×10242+439

c216

name 名前Dmitry Domanov
date 日付May 24, 2013 10:38:13 UTC 2013 年 5 月 24 日 (金) 19 時 38 分 13 秒 (日本時間)
composite number 合成数
953097551935793378595227627580508163842243317358809288872969313521849094261779521116540120744646496305980488122315288810640234312951462035517354020494067790869555956766204597791896738588593104196781437909994750708527<216>
prime factors 素因数
245698886833528445503220157368437<33>
1522129406535002761397531598405193<34>
composite cofactor 合成数の残り
2548487975847516159491982356782294647974933569306185899755500893332677623567510991224039002338785042812280981431705872604283208557425006419592021911547<151>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2545359987
Step 1 took 55220ms
Step 2 took 15951ms
********** Factor found in step 2: 1522129406535002761397531598405193
Found probable prime factor of 34 digits: 1522129406535002761397531598405193

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2340959886
Step 1 took 41103ms
Step 2 took 14664ms
********** Factor found in step 2: 245698886833528445503220157368437
Found probable prime factor of 33 digits: 245698886833528445503220157368437

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 23, 2013 14:00:00 UTC 2013 年 5 月 23 日 (木) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 24, 2013 16:20:13 UTC 2013 年 5 月 25 日 (土) 1 時 20 分 13 秒 (日本時間)
403e61110110Ignacio SantosMay 24, 2013 16:20:13 UTC 2013 年 5 月 25 日 (土) 1 時 20 分 13 秒 (日本時間)
1000Dmitry DomanovJune 27, 2013 06:16:06 UTC 2013 年 6 月 27 日 (木) 15 時 16 分 6 秒 (日本時間)
4511e6422232Ignacio SantosMay 24, 2013 16:20:13 UTC 2013 年 5 月 25 日 (土) 1 時 20 分 13 秒 (日本時間)
1500Dmitry DomanovAugust 19, 2013 12:45:42 UTC 2013 年 8 月 19 日 (月) 21 時 45 分 42 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:11:11 UTC 2013 年 11 月 9 日 (土) 2 時 11 分 11 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:25:12 UTC 2014 年 1 月 6 日 (月) 11 時 25 分 12 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:13 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 13 秒 (日本時間)
540Ignacio SantosDecember 24, 2015 09:12:14 UTC 2015 年 12 月 24 日 (木) 18 時 12 分 14 秒 (日本時間)

29×10243+439

c173

name 名前Dmitry Domanov
date 日付August 20, 2013 04:58:20 UTC 2013 年 8 月 20 日 (火) 13 時 58 分 20 秒 (日本時間)
composite number 合成数
63883337548497420052562584030052055166670890121760302968707594376490183103677264263046583552259189930742241069209902395742460795367543008577876440506745617525404829101249979<173>
prime factors 素因数
31859556559117378694197188674377333591<38>
2005154636410520468841321467963493832668803054844245864747460143176566769091120970864043073910990717242648290445683383025008364730654269<136>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1859744948
Step 1 took 55798ms
Step 2 took 20570ms
********** Factor found in step 2: 31859556559117378694197188674377333591
Found probable prime factor of 38 digits: 31859556559117378694197188674377333591

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 23, 2013 14:00:00 UTC 2013 年 5 月 23 日 (木) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 27, 2013 06:16:18 UTC 2013 年 6 月 27 日 (木) 15 時 16 分 18 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovAugust 19, 2013 12:45:28 UTC 2013 年 8 月 19 日 (月) 21 時 45 分 28 秒 (日本時間)

29×10245+439

c219

name 名前Dmitry Domanov
date 日付May 24, 2013 15:45:16 UTC 2013 年 5 月 25 日 (土) 0 時 45 分 16 秒 (日本時間)
composite number 合成数
540295322476485192675506967674877558459737264734218987651869459828665214155589201051852956236112869127999831246403053645666275380343737787253184964604656726045591518321883009182003794152832379136106600683802402155669949<219>
prime factors 素因数
378058555665115544984850284056285909643<39>
composite cofactor 合成数の残り
1429131319422060787126440918015082007893105945951565597229426009565465958687853062307031700384310462950368719970141168925358954498368028383315410022874375772382971134366571796637143<181>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2872082058
Step 1 took 30498ms
Step 2 took 11061ms
********** Factor found in step 2: 378058555665115544984850284056285909643
Found probable prime factor of 39 digits: 378058555665115544984850284056285909643

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 23, 2013 14:00:00 UTC 2013 年 5 月 23 日 (木) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 27, 2013 06:16:28 UTC 2013 年 6 月 27 日 (木) 15 時 16 分 28 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovAugust 16, 2013 12:55:37 UTC 2013 年 8 月 16 日 (金) 21 時 55 分 37 秒 (日本時間)

29×10246+439

c235

composite cofactor 合成数の残り
6471983422305342373172339614352590135699447969361560593883171468018278587064624613892418365872202570745665892751600854497106120426046879152139144400299954031151906283183052047957015679155179462075393908637043550841047430018022069647731<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 23, 2013 14:00:00 UTC 2013 年 5 月 23 日 (木) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 27, 2013 06:16:36 UTC 2013 年 6 月 27 日 (木) 15 時 16 分 36 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovAugust 16, 2013 12:55:50 UTC 2013 年 8 月 16 日 (金) 21 時 55 分 50 秒 (日本時間)

29×10247+439

c165

composite cofactor 合成数の残り
155913064255673542323751001085321450432038528756249177839855179168085204225123847663602076785676712773903143277102024531412710906135241277374458519260186010150959427<165>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 23, 2013 14:00:00 UTC 2013 年 5 月 23 日 (木) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 23, 2013 21:02:42 UTC 2013 年 5 月 24 日 (金) 6 時 2 分 42 秒 (日本時間)
403e61110110Ignacio SantosMay 23, 2013 21:02:42 UTC 2013 年 5 月 24 日 (金) 6 時 2 分 42 秒 (日本時間)
1000Dmitry DomanovJune 27, 2013 05:36:00 UTC 2013 年 6 月 27 日 (木) 14 時 36 分 0 秒 (日本時間)
4511e6278232Ignacio SantosMay 23, 2013 21:02:42 UTC 2013 年 5 月 24 日 (金) 6 時 2 分 42 秒 (日本時間)
1500Dmitry DomanovJune 27, 2013 05:36:00 UTC 2013 年 6 月 27 日 (木) 14 時 36 分 0 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:13:16 UTC 2013 年 11 月 9 日 (土) 2 時 13 分 16 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:26:54 UTC 2014 年 1 月 6 日 (月) 11 時 26 分 54 秒 (日本時間)
5043e6500 / 6885Erik BrangerMarch 16, 2014 14:27:40 UTC 2014 年 3 月 16 日 (日) 23 時 27 分 40 秒 (日本時間)

29×10248+439

c246

composite cofactor 合成数の残り
347596787726237564425266690638858923648567661512645331415557952774781253745655040153422030444684166367014263454392904231091933357305525590315234328179311998082224619441447920412321706820088697111350833033680930121059570897758600023972192256981901<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 23, 2013 14:00:00 UTC 2013 年 5 月 23 日 (木) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e61688Serge BatalovMay 27, 2013 05:17:28 UTC 2013 年 5 月 27 日 (月) 14 時 17 分 28 秒 (日本時間)
5043e6800 / 7174Dmitry DomanovJune 24, 2013 07:14:09 UTC 2013 年 6 月 24 日 (月) 16 時 14 分 9 秒 (日本時間)

29×10250+439

c179

composite cofactor 合成数の残り
72997156367592841344638982392125584610524051995564316519915155135142784290179446979482753345307087838354693326705091698763101588022751106681085591487714592468328549854185694261971<179>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 23, 2013 14:00:00 UTC 2013 年 5 月 23 日 (木) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 21, 2013 12:08:31 UTC 2013 年 6 月 21 日 (金) 21 時 8 分 31 秒 (日本時間)
4511e61500Dmitry DomanovJune 21, 2013 12:08:31 UTC 2013 年 6 月 21 日 (金) 21 時 8 分 31 秒 (日本時間)
5043e6800 / 7178Dmitry DomanovJune 24, 2013 07:13:48 UTC 2013 年 6 月 24 日 (月) 16 時 13 分 48 秒 (日本時間)

29×10251+439

c182

composite cofactor 合成数の残り
15271677602212402526376037409471246433078261968954549325485981020634125437584651907852430601266355773308803392874524463384764862229375361409513659516307527462768499563109201398903361<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 16, 2016 18:59:18 UTC 2016 年 9 月 17 日 (土) 3 時 59 分 18 秒 (日本時間)

29×10255+439

c243

composite cofactor 合成数の残り
329594226342721059137612084394590612506622828351087914165378890625745615177606076532922430221894828188544531490415076828380316218800064162909347074465745858319015903333501298073303331773783082428691198596624526324160383399414613139878006189339<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e622002000Erik BrangerSeptember 16, 2016 18:59:42 UTC 2016 年 9 月 17 日 (土) 3 時 59 分 42 秒 (日本時間)
200Erik BrangerSeptember 16, 2016 19:02:32 UTC 2016 年 9 月 17 日 (土) 4 時 2 分 32 秒 (日本時間)

29×10256+439

c241

composite cofactor 合成数の残り
1606696305060181076331563209229894202124577691692956867986653483060300729780199233892002559290971611982442921656363369674789688918873378628592239016377433416741035351110057215112051199820969909090866389189432718550087220649193368796440389607<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e622002000Erik BrangerSeptember 16, 2016 19:00:02 UTC 2016 年 9 月 17 日 (土) 4 時 0 分 2 秒 (日本時間)
200Erik BrangerSeptember 16, 2016 19:02:26 UTC 2016 年 9 月 17 日 (土) 4 時 2 分 26 秒 (日本時間)

29×10257+439

c255

composite cofactor 合成数の残り
134091644703380034216488648448698386276413742081657187774541082905627225227724603504878161557312618486151569797012993017986775789522356313866925602256438710870670920608498635964303879409996763305127849447449946825727100383779534840708373792019235215240209<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e622002000Erik BrangerSeptember 16, 2016 19:00:25 UTC 2016 年 9 月 17 日 (土) 4 時 0 分 25 秒 (日本時間)
200Erik BrangerSeptember 16, 2016 19:02:19 UTC 2016 年 9 月 17 日 (土) 4 時 2 分 19 秒 (日本時間)

29×10259+439

c232

composite cofactor 合成数の残り
1279868831109536793662934741278562077900406258643670586948069449317644012090017640429827054221836349851090486451590533481994136903335316513444600992505587552230881119596080430598067083442427094578950842804232903023503982642180436543<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 16, 2016 19:00:55 UTC 2016 年 9 月 17 日 (土) 4 時 0 分 55 秒 (日本時間)

29×10263+439

c188

composite cofactor 合成数の残り
19241435689126335049832076190782279383198317254683439187783334176871101543427720802343189485292199962094518488638910405813732679264991200493671519216004622082713326647455991271693498563397<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 16, 2016 19:01:22 UTC 2016 年 9 月 17 日 (土) 4 時 1 分 22 秒 (日本時間)

29×10264+439

c229

composite cofactor 合成数の残り
5889662582392900437430752084016089858191496857052383362689872334138287519642324470593459873341084414629986375429868305483355647938803237928415880791668096983431833737631487316372536629862014959849039435270455018417818982255367693<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 16, 2016 19:01:47 UTC 2016 年 9 月 17 日 (土) 4 時 1 分 47 秒 (日本時間)

29×10265+439

c221

composite cofactor 合成数の残り
12707968391729668204435919090693281447288455977185262575646523001899209917401214349199936328280010923631746649265390677195873476550583819695277297543692057030500763221009884035297807627039983690173788449700490562314895071<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 17, 2016 07:58:50 UTC 2016 年 9 月 17 日 (土) 16 時 58 分 50 秒 (日本時間)

29×10268+439

c247

composite cofactor 合成数の残り
7946130215544767283290025950229370663342240592305558202427939832263664121844150448127224334496991584554326508191312780015294994560764995454802914371439375649003822904069684365145031039548770418992023888406452146384922277665239388494961145618055141<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 17, 2016 07:59:23 UTC 2016 年 9 月 17 日 (土) 16 時 59 分 23 秒 (日本時間)

29×10269+439

c243

composite cofactor 合成数の残り
112328012724812059373404884756908146431939437849432154476168181682734371146528041192199574056863648058967595923333712833825934345878735662609359765045266909317523866527614987198344957319607254819269406643349845815843525235807577891346926092241<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 17, 2016 07:59:31 UTC 2016 年 9 月 17 日 (土) 16 時 59 分 31 秒 (日本時間)

29×10272+439

c252

composite cofactor 合成数の残り
714163031481988532523207229927553150739958423049982330885758598597696791783840725141769591826750431575967154161497461143445126942349650194481878756621230512023363475263961252782609359844649182387203853340319338089703322078138526352239486318945605432117<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 17, 2016 07:59:50 UTC 2016 年 9 月 17 日 (土) 16 時 59 分 50 秒 (日本時間)

29×10274+439

c260

composite cofactor 合成数の残り
10239899591090337636592870476320070386553490697257799307579545346065639459102623946004894775780800691875433792870243385512667079542496915337717087617758852526714230513333939747485974773063089765759426783235902721602341360343925931261121149542844278219338655179<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 17, 2016 08:00:11 UTC 2016 年 9 月 17 日 (土) 17 時 0 分 11 秒 (日本時間)

29×10275+439

c245

composite cofactor 合成数の残り
61720968318873320816083768506541332463942091655881741710752478470921169626826963491893058063698351115783558872122369397772348314043531908112324753342399319843989605318528419727220741136640787964410345203599088646625161579523259245168219839438641<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 17, 2016 18:50:18 UTC 2016 年 9 月 18 日 (日) 3 時 50 分 18 秒 (日本時間)

29×10276+439

c190

name 名前Dmitry Domanov
date 日付September 9, 2016 16:37:29 UTC 2016 年 9 月 10 日 (土) 1 時 37 分 29 秒 (日本時間)
composite number 合成数
8272504776290949060345595212792543692719184452396255828269744241109634171369134637602588968613043315371192054120561193832135571311225280490477411187644242813816165933198285289140952113805847<190>
prime factors 素因数
5315043712937502120723705635787789494069<40>
1556432124190174608135904740889809957372284578733734466644207195838118690618996630456956235856462519774910645428239942738245782097906338889445990705563<151>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=942677105
Step 1 took 17387ms
Step 2 took 6384ms
********** Factor found in step 2: 5315043712937502120723705635787789494069
Found probable prime factor of 40 digits: 5315043712937502120723705635787789494069

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e61200 / 2104Dmitry DomanovSeptember 9, 2016 15:30:41 UTC 2016 年 9 月 10 日 (土) 0 時 30 分 41 秒 (日本時間)

29×10277+439

c216

name 名前Erik Branger
date 日付September 17, 2016 18:51:09 UTC 2016 年 9 月 18 日 (日) 3 時 51 分 9 秒 (日本時間)
composite number 合成数
156416253089438921127559829727590984212583762575070925833676488409919114868665319852135057481382836034643953058812770679367250185770322593983791920601029015984532560160100393838329823331628528731452905087174127867087<216>
prime factors 素因数
27253763043292358805966241171852994809<38>
composite cofactor 合成数の残り
5739253432304856480106791193744029695869379874030675401880782967745152283370117441741592553597755718218749865514977212768445582479674626703808706195015989221292276338451824436743<178>
factorization results 素因数分解の結果
Sat 2016/09/17 11:50:31 UTC GMP-ECM 7.0-dev [configured with GMP 6.1.0, --enable-asm-redc] [ECM]
Sat 2016/09/17 11:50:31 UTC Input number is 156416253089438921127559829727590984212583762575070925833676488409919114868665319852135057481382836034643953058812770679367250185770322593983791920601029015984532560160100393838329823331628528731452905087174127867087 (216 digits)
Sat 2016/09/17 11:50:31 UTC Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1190235004
Sat 2016/09/17 11:50:31 UTC Step 1 took 8266ms
Sat 2016/09/17 11:50:31 UTC Step 2 took 3844ms
Sat 2016/09/17 11:50:31 UTC ********** Factor found in step 2: 27253763043292358805966241171852994809
Sat 2016/09/17 11:50:31 UTC Found prime factor of 38 digits: 27253763043292358805966241171852994809
Sat 2016/09/17 11:50:31 UTC Composite cofactor 5739253432304856480106791193744029695869379874030675401880782967745152283370117441741592553597755718218749865514977212768445582479674626703808706195015989221292276338451824436743 has 178 digits
software ソフトウェア
GMP-ECM

c178

name 名前Dmitry Domanov
date 日付September 19, 2016 06:18:43 UTC 2016 年 9 月 19 日 (月) 15 時 18 分 43 秒 (日本時間)
composite number 合成数
5739253432304856480106791193744029695869379874030675401880782967745152283370117441741592553597755718218749865514977212768445582479674626703808706195015989221292276338451824436743<178>
prime factors 素因数
932257307462613244930472303240011638207788335259<48>
6156297608356393034683217869111186938704173085208354449457258545193740162790993190012563073314081688342716451129447791757094230277<130>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3432649722
Step 1 took 211836ms
Step 2 took 56375ms
********** Factor found in step 2: 932257307462613244930472303240011638207788335259
Found probable prime factor of 48 digits: 932257307462613244930472303240011638207788335259
Probable prime cofactor 6156297608356393034683217869111186938704173085208354449457258545193740162790993190012563073314081688342716451129447791757094230277 has 130 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e60--
4511e6800Dmitry DomanovSeptember 18, 2016 14:05:37 UTC 2016 年 9 月 18 日 (日) 23 時 5 分 37 秒 (日本時間)
5043e61040 / 7369Dmitry DomanovSeptember 18, 2016 21:19:26 UTC 2016 年 9 月 19 日 (月) 6 時 19 分 26 秒 (日本時間)

29×10279+439

c267

composite cofactor 合成数の残り
282910930813123918361642360718468599514894628638834072626910386683688611440836172792724002340284788910719970950955622157113321546620189494193789699020654582731548022817862078427480994322798800501778166376243601375984429958862321491988547699317224623869865294933343721<267>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 17, 2016 18:51:38 UTC 2016 年 9 月 18 日 (日) 3 時 51 分 38 秒 (日本時間)

29×10280+439

c253

composite cofactor 合成数の残り
3453086610064148494381143576562189506831175198966351692417991596171652771713209583435990898138307181949037200716282079356774029345365755091763355024893555397962792297108257037810877905662325701034310708979085318469522635727554010969113741698496425909571<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 17, 2016 18:52:03 UTC 2016 年 9 月 18 日 (日) 3 時 52 分 3 秒 (日本時間)

29×10281+439

c198

name 名前Erik Branger
date 日付September 17, 2016 18:52:53 UTC 2016 年 9 月 18 日 (日) 3 時 52 分 53 秒 (日本時間)
composite number 合成数
407822440671467127001286388860896244797772605945550737760464053207487425143271036355592238591081439700243820637555664630048310116708334282328942991573520101902514460750381119319543060770542742712013<198>
prime factors 素因数
4791779220496769510615333295364943192387771363<46>
85108771065038277045292350776952446270569235635674090787498037931203508432389627546969890603896347424072097884746135285094434722774907644080994251057551<152>
factorization results 素因数分解の結果
Sat 2016/09/17 18:45:10 UTC GMP-ECM 7.0-dev [configured with GMP 6.1.0, --enable-asm-redc] [ECM]
Sat 2016/09/17 18:45:10 UTC Input number is 407822440671467127001286388860896244797772605945550737760464053207487425143271036355592238591081439700243820637555664630048310116708334282328942991573520101902514460750381119319543060770542742712013 (198 digits)
Sat 2016/09/17 18:45:10 UTC Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2738282058
Sat 2016/09/17 18:45:10 UTC Step 1 took 9203ms
Sat 2016/09/17 18:45:10 UTC Step 2 took 4234ms
Sat 2016/09/17 18:45:10 UTC ********** Factor found in step 2: 4791779220496769510615333295364943192387771363
Sat 2016/09/17 18:45:10 UTC Found prime factor of 46 digits: 4791779220496769510615333295364943192387771363
Sat 2016/09/17 18:45:10 UTC Prime cofactor 85108771065038277045292350776952446270569235635674090787498037931203508432389627546969890603896347424072097884746135285094434722774907644080994251057551 has 152 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
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)

29×10282+439

c264

composite cofactor 合成数の残り
882361635604500565986285507147128852011581524807474153849077743964128705161709702154415768181202648526946569936665303923749662180925152740506612824970985148910726148872835262888635178228209424178239236486163230891663939677144058688993542384524857718037668651212399<264>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 18, 2016 10:59:18 UTC 2016 年 9 月 18 日 (日) 19 時 59 分 18 秒 (日本時間)

29×10283+439

c224

composite cofactor 合成数の残り
52173994518260846952727241068095597733502860378638963109409743544476912265705268113854868249923165920310329286660498242124326106295001430565393992995970538015478931980460777297514974497263811091102638995311128865711822656727<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 18, 2016 10:59:37 UTC 2016 年 9 月 18 日 (日) 19 時 59 分 37 秒 (日本時間)

29×10284+439

c220

name 名前Erik Branger
date 日付September 18, 2016 11:00:15 UTC 2016 年 9 月 18 日 (日) 20 時 0 分 15 秒 (日本時間)
composite number 合成数
6605234624322426873189872256227048651554058920538057200591356935831690124784005844915401461361143351139595339433977826025970697293645562810892339583133613818977011889685404158395721794924023197799681588222837878067586459<220>
prime factors 素因数
159313958229778904533980678957900703<36>
composite cofactor 合成数の残り
41460489072750807638650941726706130831156872008839831841540057817932415981923052726649855518836040994501765292305510316135957091336636915302866831841998411074045368882743468674406456453<185>
factorization results 素因数分解の結果
Sun 2016/09/18 00:41:51 UTC GMP-ECM 7.0-dev [configured with GMP 6.1.0, --enable-asm-redc] [ECM]
Sun 2016/09/18 00:41:51 UTC Input number is 6605234624322426873189872256227048651554058920538057200591356935831690124784005844915401461361143351139595339433977826025970697293645562810892339583133613818977011889685404158395721794924023197799681588222837878067586459 (220 digits)
Sun 2016/09/18 00:41:51 UTC Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3357493235
Sun 2016/09/18 00:41:51 UTC Step 1 took 7078ms
Sun 2016/09/18 00:41:51 UTC Step 2 took 3672ms
Sun 2016/09/18 00:41:51 UTC ********** Factor found in step 2: 159313958229778904533980678957900703
Sun 2016/09/18 00:41:51 UTC Found prime factor of 36 digits: 159313958229778904533980678957900703
Sun 2016/09/18 00:41:51 UTC Composite cofactor 41460489072750807638650941726706130831156872008839831841540057817932415981923052726649855518836040994501765292305510316135957091336636915302866831841998411074045368882743468674406456453 has 185 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
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovSeptember 18, 2016 14:05:01 UTC 2016 年 9 月 18 日 (日) 23 時 5 分 1 秒 (日本時間)
4511e6800Dmitry DomanovSeptember 18, 2016 14:05:01 UTC 2016 年 9 月 18 日 (日) 23 時 5 分 1 秒 (日本時間)
5043e61000 / 7323Dmitry DomanovSeptember 18, 2016 16:42:33 UTC 2016 年 9 月 19 日 (月) 1 時 42 分 33 秒 (日本時間)

29×10285+439

c231

composite cofactor 合成数の残り
102323705309924765712157835741223648432935566064270918611686572032899034058465758867239256288630756986330124322110649361582849326560481681966124966133920028935576212994732888885201944216709798708375000949743152200256766442608709777<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 18, 2016 11:00:32 UTC 2016 年 9 月 18 日 (日) 20 時 0 分 32 秒 (日本時間)

29×10286+439

c257

name 名前Serge Batalov
date 日付September 10, 2016 17:18:31 UTC 2016 年 9 月 11 日 (日) 2 時 18 分 31 秒 (日本時間)
composite number 合成数
35739959372365026357379743760885759111206304706535589838067752347277442030968009082695891816011834755687368581689975310318806086507779132904828491938418771949671274973120002353857155299534897808638780984123471241130584831721424717277412762076038041889548471<257>
prime factors 素因数
13938169013866991001136922336588310059<38>
composite cofactor 合成数の残り
2564178934608095234450409254748875902603797004447973763681791031006627064784174026588380743139545245719464351910876458672433395778143168448274967183918950539809627355416532747476304116241707611160238879640918746620341669<220>
factorization results 素因数分解の結果
Using B1=6000000, B2=6000000-35128842850, polynomial Dickson(12), sigma=1478256458
Step 1 took 37134ms
Step 2 took 18310ms
********** Factor found in step 2: 13938169013866991001136922336588310059
Found probable prime factor of 38 digits: 13938169013866991001136922336588310059
Composite cofactor 2564178934608095234450409254748875902603797004447973763681791031006627064784174026588380743139545245719464351910876458672433395778143168448274967183918950539809627355416532747476304116241707611160238879640918746620341669 has 220 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 18, 2016 11:00:47 UTC 2016 年 9 月 18 日 (日) 20 時 0 分 47 秒 (日本時間)

29×10287+439

c254

composite cofactor 合成数の残り
12029069161478210474938473605242802981260879142612252737272858629425752894412908251634407219858645219192242021679004673738679378274527620039653584000101068099639132919741920844458280641827544990838672762716015042567618055731675346833689354757982053571609<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 18, 2016 11:01:02 UTC 2016 年 9 月 18 日 (日) 20 時 1 分 2 秒 (日本時間)

29×10288+439

c260

name 名前Erik Branger
date 日付September 18, 2016 11:01:28 UTC 2016 年 9 月 18 日 (日) 20 時 1 分 28 秒 (日本時間)
composite number 合成数
28405618509125420440445036041251413977922941564188375014228280385893971888296266698835956388375166507179589500274560667513020631239995123976597920772418128322784166198892270551065788768805234886499516385673074117525229847712167217967841558397227099224822693343<260>
prime factors 素因数
69102881351420601587527013377531643<35>
composite cofactor 合成数の残り
411062722040047959374153773677466243268442602919244104097479529181855073863847830018216398731836414113367474730543973013538913821217925262140851421002353644557381335351811244297969190330399265495237680305158801182459425281901<225>
factorization results 素因数分解の結果
Sun 2016/09/18 08:18:38 UTC GMP-ECM 7.0-dev [configured with GMP 6.1.0, --enable-asm-redc] [ECM]
Sun 2016/09/18 08:18:38 UTC Input number is 28405618509125420440445036041251413977922941564188375014228280385893971888296266698835956388375166507179589500274560667513020631239995123976597920772418128322784166198892270551065788768805234886499516385673074117525229847712167217967841558397227099224822693343 (260 digits)
Sun 2016/09/18 08:18:38 UTC Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3958656876
Sun 2016/09/18 08:18:38 UTC Step 1 took 9657ms
Sun 2016/09/18 08:18:38 UTC Step 2 took 4406ms
Sun 2016/09/18 08:18:38 UTC ********** Factor found in step 2: 69102881351420601587527013377531643
Sun 2016/09/18 08:18:38 UTC Found prime factor of 35 digits: 69102881351420601587527013377531643
Sun 2016/09/18 08:18:38 UTC Composite cofactor 411062722040047959374153773677466243268442602919244104097479529181855073863847830018216398731836414113367474730543973013538913821217925262140851421002353644557381335351811244297969190330399265495237680305158801182459425281901 has 225 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
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)

29×10289+439

c246

composite cofactor 合成数の残り
478424344036063974308607335365474948505488004689059599407188375548461312994031429831051598533058783494071112025863359798855736541813976739176103537909230506183514037651291402580055804519283011767603953952228448424840671193217859827981225177131029<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 18, 2016 11:01:47 UTC 2016 年 9 月 18 日 (日) 20 時 1 分 47 秒 (日本時間)

29×10290+439

c273

composite cofactor 合成数の残り
484159883858380537991773256662322536876450770360079820390223561770113469251560939458039559912451975144567084697519862556227490556281365724532875661816555507231362692344357843102904580686935024693977347799414970303919779558792026357241457902506564580983041260425518926653871<273>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 18, 2016 19:32:43 UTC 2016 年 9 月 19 日 (月) 4 時 32 分 43 秒 (日本時間)

29×10291+439

c270

composite cofactor 合成数の残り
744595295433959756206663937351570679511949213788960749909329388675010787785303824870533116667876186830094684365117348367398537288555584523117454353495499399636630198413777539096319638686302979952683899944650965518733740133443486299440576735722261514252899086091854880967<270>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 18, 2016 19:32:57 UTC 2016 年 9 月 19 日 (月) 4 時 32 分 57 秒 (日本時間)

29×10293+439

c256

name 名前Erik Branger
date 日付September 18, 2016 19:33:31 UTC 2016 年 9 月 19 日 (月) 4 時 33 分 31 秒 (日本時間)
composite number 合成数
5007973212695924530219340749147795457261059804562947237586851511927579233863496340512190444451121294818167357162175589766392973864426510420208433782507697282333106350882831796346239718193875064442926061915897711970669483334544788900213612844899460207008079<256>
prime factors 素因数
40306236953213891988967310010039787<35>
composite cofactor 合成数の残り
124248096355633729501447072694473974963126709412554209887098439915284136788503563575907249456747566608049683779447805032676172293377378044686118103554199320442460598924346940338033689195006689184705845653199267058637219117<222>
factorization results 素因数分解の結果
Sun 2016/09/18 18:08:56 UTC GMP-ECM 7.0-dev [configured with GMP 6.1.0, --enable-asm-redc] [ECM]
Sun 2016/09/18 18:08:56 UTC Input number is 5007973212695924530219340749147795457261059804562947237586851511927579233863496340512190444451121294818167357162175589766392973864426510420208433782507697282333106350882831796346239718193875064442926061915897711970669483334544788900213612844899460207008079 (256 digits)
Sun 2016/09/18 18:08:56 UTC Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2803106110
Sun 2016/09/18 18:08:56 UTC Step 1 took 10297ms
Sun 2016/09/18 18:08:56 UTC Step 2 took 4640ms
Sun 2016/09/18 18:08:56 UTC ********** Factor found in step 2: 40306236953213891988967310010039787
Sun 2016/09/18 18:08:56 UTC Found prime factor of 35 digits: 40306236953213891988967310010039787
Sun 2016/09/18 18:08:56 UTC Composite cofactor 124248096355633729501447072694473974963126709412554209887098439915284136788503563575907249456747566608049683779447805032676172293377378044686118103554199320442460598924346940338033689195006689184705845653199267058637219117 has 222 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
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)

29×10296+439

c230

composite cofactor 合成数の残り
27431472143196357319922504721363769577832196096012854593964874227602497456403110166734952762516277049022379547873402922056632167923843554756894087957207885298252275526077617855423880812820818742348021191039216027098895779220093063<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 19, 2016 16:18:02 UTC 2016 年 9 月 20 日 (火) 1 時 18 分 2 秒 (日本時間)

29×10297+439

c291

composite cofactor 合成数の残り
287125418036044517073313980486105114892790487681433437808372080165931561240797246692981018168316266548980888427230820192865311575285982609367878639887686833375842746517393924162791042823577895774443538811272452824031454926175649132897573977344160971459743348093659004447661833266685583281277<291>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 19, 2016 16:18:22 UTC 2016 年 9 月 20 日 (火) 1 時 18 分 22 秒 (日本時間)

29×10299+439

c285

composite cofactor 合成数の残り
143668103123411059210366850271551786173965106172283533250441715859832329674307418107614458270678630071784082740059761988490364598895650691461241178682071458279586925920290247620476733519403947649372855249647400764717066324576462175802042311251574526153772071978845032904608465584370667<285>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 19, 2016 16:18:27 UTC 2016 年 9 月 20 日 (火) 1 時 18 分 27 秒 (日本時間)

29×10300+439

c272

name 名前Dmitry Domanov
date 日付September 13, 2016 06:04:44 UTC 2016 年 9 月 13 日 (火) 15 時 4 分 44 秒 (日本時間)
composite number 合成数
34319229790376900648538887576971098375457719455431790163489779965508464111352274843682728760272299566544729084427629620070178200142045343772707999516779070592602152297406149439391778442060035986262281230846996856856989557703347357638676999327241732210817280747302914392457<272>
prime factors 素因数
7689554648635437417221841060056152688923<40>
4463097195943210584428984313193062272547223190806666069705735734366272589313627563541669221789810970596298747750598476943571992512661294625831208917582306618291014441026785349477797519765546901324232946343070441136734911359937302059<232>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2986487562
Step 1 took 113166ms
Step 2 took 32943ms
********** Factor found in step 2: 7689554648635437417221841060056152688923
Found probable prime factor of 40 digits: 7689554648635437417221841060056152688923

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovSeptember 9, 2016 17:15:24 UTC 2016 年 9 月 10 日 (土) 2 時 15 分 24 秒 (日本時間)
4511e63000 / 4173Dmitry DomanovSeptember 12, 2016 19:52:55 UTC 2016 年 9 月 13 日 (火) 4 時 52 分 55 秒 (日本時間)