Table of contents 目次

26×10101-539

c89

name 名前Sinkiti Sibata
date 日付October 7, 2008 04:24:07 UTC 2008 年 10 月 7 日 (火) 13 時 24 分 7 秒 (日本時間)
composite number 合成数
20084078629270154464915312484066295599082921065544328970184837510862039456747676582069659<89>
prime factors 素因数
121426997166013585257945094641811871<36>
165400438930491170714093139841463045980448069972087429<54>
factorization results 素因数分解の結果
ue Oct  7 11:47:53 2008  Msieve v. 1.38
Tue Oct  7 11:47:53 2008  random seeds: 1d892829 4d448959
Tue Oct  7 11:47:53 2008  factoring 20084078629270154464915312484066295599082921065544328970184837510862039456747676582069659 (89 digits)
Tue Oct  7 11:47:55 2008  searching for 15-digit factors
Tue Oct  7 11:47:56 2008  commencing quadratic sieve (89-digit input)
Tue Oct  7 11:47:57 2008  using multiplier of 19
Tue Oct  7 11:47:57 2008  using 64kb Pentium 4 sieve core
Tue Oct  7 11:47:57 2008  sieve interval: 15 blocks of size 65536
Tue Oct  7 11:47:57 2008  processing polynomials in batches of 7
Tue Oct  7 11:47:57 2008  using a sieve bound of 1538939 (58667 primes)
Tue Oct  7 11:47:57 2008  using large prime bound of 123115120 (26 bits)
Tue Oct  7 11:47:57 2008  using double large prime bound of 365224943163840 (42-49 bits)
Tue Oct  7 11:47:57 2008  using trial factoring cutoff of 49 bits
Tue Oct  7 11:47:57 2008  polynomial 'A' values have 11 factors
Tue Oct  7 13:17:05 2008  59144 relations (16771 full + 42373 combined from 612311 partial), need 58763
Tue Oct  7 13:17:07 2008  begin with 629082 relations
Tue Oct  7 13:17:08 2008  reduce to 140845 relations in 10 passes
Tue Oct  7 13:17:08 2008  attempting to read 140845 relations
Tue Oct  7 13:17:12 2008  recovered 140845 relations
Tue Oct  7 13:17:12 2008  recovered 115844 polynomials
Tue Oct  7 13:17:12 2008  attempting to build 59144 cycles
Tue Oct  7 13:17:12 2008  found 59144 cycles in 5 passes
Tue Oct  7 13:17:12 2008  distribution of cycle lengths:
Tue Oct  7 13:17:12 2008     length 1 : 16771
Tue Oct  7 13:17:12 2008     length 2 : 11626
Tue Oct  7 13:17:12 2008     length 3 : 10380
Tue Oct  7 13:17:12 2008     length 4 : 7739
Tue Oct  7 13:17:12 2008     length 5 : 5283
Tue Oct  7 13:17:12 2008     length 6 : 3224
Tue Oct  7 13:17:12 2008     length 7 : 1938
Tue Oct  7 13:17:12 2008     length 9+: 2183
Tue Oct  7 13:17:12 2008  largest cycle: 18 relations
Tue Oct  7 13:17:12 2008  matrix is 58667 x 59144 (14.3 MB) with weight 3505818 (59.28/col)
Tue Oct  7 13:17:12 2008  sparse part has weight 3505818 (59.28/col)
Tue Oct  7 13:17:13 2008  filtering completed in 3 passes
Tue Oct  7 13:17:13 2008  matrix is 54053 x 54117 (13.1 MB) with weight 3220858 (59.52/col)
Tue Oct  7 13:17:13 2008  sparse part has weight 3220858 (59.52/col)
Tue Oct  7 13:17:14 2008  saving the first 48 matrix rows for later
Tue Oct  7 13:17:14 2008  matrix is 54005 x 54117 (9.9 MB) with weight 2692096 (49.75/col)
Tue Oct  7 13:17:14 2008  sparse part has weight 2262300 (41.80/col)
Tue Oct  7 13:17:14 2008  matrix includes 64 packed rows
Tue Oct  7 13:17:14 2008  using block size 21646 for processor cache size 512 kB
Tue Oct  7 13:17:15 2008  commencing Lanczos iteration
Tue Oct  7 13:17:15 2008  memory use: 8.8 MB
Tue Oct  7 13:17:48 2008  lanczos halted after 856 iterations (dim = 54005)
Tue Oct  7 13:17:48 2008  recovered 18 nontrivial dependencies
Tue Oct  7 13:17:49 2008  prp36 factor: 121426997166013585257945094641811871
Tue Oct  7 13:17:49 2008  prp54 factor: 165400438930491170714093139841463045980448069972087429
Tue Oct  7 13:17:49 2008  elapsed time 01:29:56

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 7, 2008 01:00:00 UTC 2008 年 10 月 7 日 (火) 10 時 0 分 0 秒 (日本時間)

26×10102-539

c84

name 名前Serge Batalov
date 日付October 7, 2008 03:00:03 UTC 2008 年 10 月 7 日 (火) 12 時 0 分 3 秒 (日本時間)
composite number 合成数
252253995916029232215594555960055997739757430421020264159842100261129995557626869259<84>
prime factors 素因数
121810470780205711661897992036627074980747<42>
2070872842870751685650025646347946691354497<43>
factorization results 素因数分解の結果
Mon Oct  6 19:27:00 2008  Msieve v. 1.36
Mon Oct  6 19:27:00 2008  random seeds: c8b1b998 262548ec
Mon Oct  6 19:27:00 2008  factoring 252253995916029232215594555960055997739757430421020264159842100261129995557626869259 (84 digits)
Mon Oct  6 19:27:01 2008  no P-1/P+1/ECM available, skipping
Mon Oct  6 19:27:01 2008  commencing quadratic sieve (84-digit input)
Mon Oct  6 19:27:01 2008  using multiplier of 35
Mon Oct  6 19:27:01 2008  using 64kb Opteron sieve core
Mon Oct  6 19:27:01 2008  sieve interval: 6 blocks of size 65536
Mon Oct  6 19:27:01 2008  processing polynomials in batches of 17
Mon Oct  6 19:27:01 2008  using a sieve bound of 1400453 (53488 primes)
Mon Oct  6 19:27:01 2008  using large prime bound of 120438958 (26 bits)
Mon Oct  6 19:27:01 2008  using double large prime bound of 351059328825056 (41-49 bits)
Mon Oct  6 19:27:01 2008  using trial factoring cutoff of 49 bits
Mon Oct  6 19:27:01 2008  polynomial 'A' values have 11 factors
Mon Oct  6 19:57:53 2008  53681 relations (16403 full + 37278 combined from 566333 partial), need 53584
Mon Oct  6 19:57:53 2008  begin with 582736 relations
Mon Oct  6 19:57:53 2008  reduce to 123581 relations in 9 passes
Mon Oct  6 19:57:53 2008  attempting to read 123581 relations
Mon Oct  6 19:57:54 2008  recovered 123581 relations
Mon Oct  6 19:57:54 2008  recovered 96905 polynomials
Mon Oct  6 19:57:55 2008  attempting to build 53681 cycles
Mon Oct  6 19:57:55 2008  found 53681 cycles in 5 passes
Mon Oct  6 19:57:55 2008  distribution of cycle lengths:
Mon Oct  6 19:57:55 2008     length 1 : 16403
Mon Oct  6 19:57:55 2008     length 2 : 11163
Mon Oct  6 19:57:55 2008     length 3 : 9472
Mon Oct  6 19:57:55 2008     length 4 : 6739
Mon Oct  6 19:57:55 2008     length 5 : 4402
Mon Oct  6 19:57:55 2008     length 6 : 2532
Mon Oct  6 19:57:55 2008     length 7 : 1382
Mon Oct  6 19:57:55 2008     length 9+: 1588
Mon Oct  6 19:57:55 2008  largest cycle: 17 relations
Mon Oct  6 19:57:55 2008  matrix is 53488 x 53681 (12.1 MB) with weight 2745542 (51.15/col)
Mon Oct  6 19:57:55 2008  sparse part has weight 2745542 (51.15/col)
Mon Oct  6 19:57:56 2008  filtering completed in 4 passes
Mon Oct  6 19:57:56 2008  matrix is 47610 x 47674 (10.9 MB) with weight 2470762 (51.83/col)
Mon Oct  6 19:57:56 2008  sparse part has weight 2470762 (51.83/col)
Mon Oct  6 19:57:56 2008  saving the first 48 matrix rows for later
Mon Oct  6 19:57:56 2008  matrix is 47562 x 47674 (6.3 MB) with weight 1818216 (38.14/col)
Mon Oct  6 19:57:56 2008  sparse part has weight 1182930 (24.81/col)
Mon Oct  6 19:57:56 2008  matrix includes 64 packed rows
Mon Oct  6 19:57:56 2008  using block size 19069 for processor cache size 1024 kB
Mon Oct  6 19:57:56 2008  commencing Lanczos iteration
Mon Oct  6 19:57:56 2008  memory use: 6.1 MB
Mon Oct  6 19:58:11 2008  lanczos halted after 754 iterations (dim = 47556)
Mon Oct  6 19:58:11 2008  recovered 14 nontrivial dependencies
Mon Oct  6 19:58:12 2008  prp42 factor: 121810470780205711661897992036627074980747
Mon Oct  6 19:58:12 2008  prp43 factor: 2070872842870751685650025646347946691354497
Mon Oct  6 19:58:12 2008  elapsed time 00:31:12
software ソフトウェア
Msieve v. 1.36
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 KamadaOctober 7, 2008 01:00:00 UTC 2008 年 10 月 7 日 (火) 10 時 0 分 0 秒 (日本時間)

26×10103-539

c95

name 名前Serge Batalov
date 日付October 7, 2008 03:49:01 UTC 2008 年 10 月 7 日 (火) 12 時 49 分 1 秒 (日本時間)
composite number 合成数
44511241917359155577106323878765321362023863046193398616907007659676149245603176570253558479611<95>
prime factors 素因数
89692426478836592784300376550795841826967<41>
496265333259345156772057309654185119335498040025379133<54>
factorization results 素因数分解の結果
SNFS difficulty: 105 digits.
Divisors found:
 r1=89692426478836592784300376550795841826967
 r2=496265333259345156772057309654185119335498040025379133
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.951).
Factorization parameters were as follows:
n: 44511241917359155577106323878765321362023863046193398616907007659676149245603176570253558479611
Y1: 1
Y0: -100000000000000000000000000
c4: 13
c0: -265
skew: 2.5
type: snfs
Factor base limits: 450000/500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [225000, 265001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 46343 x 46563
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,105,4,0,0,0,0,0,0,0,0,450000,500000,25,25,44,44,2.2,2.2,20000
total time: 0.20 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 KamadaOctober 7, 2008 01:00:00 UTC 2008 年 10 月 7 日 (火) 10 時 0 分 0 秒 (日本時間)

26×10104-539

c91

name 名前Sinkiti Sibata
date 日付October 7, 2008 06:50:02 UTC 2008 年 10 月 7 日 (火) 15 時 50 分 2 秒 (日本時間)
composite number 合成数
2868362296881334515585997025651531016682339074705062742924681119186664562240834443696274021<91>
prime factors 素因数
6918276745362442304529579011355599487433<40>
414606469566875297250530265767866835398335555183037<51>
factorization results 素因数分解の結果
Tue Oct  7 13:26:14 2008  Msieve v. 1.38
Tue Oct  7 13:26:14 2008  random seeds: a8c52f61 feb94d20
Tue Oct  7 13:26:14 2008  factoring 2868362296881334515585997025651531016682339074705062742924681119186664562240834443696274021 (91 digits)
Tue Oct  7 13:26:16 2008  searching for 15-digit factors
Tue Oct  7 13:26:17 2008  commencing quadratic sieve (91-digit input)
Tue Oct  7 13:26:18 2008  using multiplier of 1
Tue Oct  7 13:26:18 2008  using 64kb Pentium 4 sieve core
Tue Oct  7 13:26:18 2008  sieve interval: 18 blocks of size 65536
Tue Oct  7 13:26:18 2008  processing polynomials in batches of 6
Tue Oct  7 13:26:18 2008  using a sieve bound of 1685869 (63499 primes)
Tue Oct  7 13:26:18 2008  using large prime bound of 155099948 (27 bits)
Tue Oct  7 13:26:18 2008  using double large prime bound of 553478662336492 (42-49 bits)
Tue Oct  7 13:26:18 2008  using trial factoring cutoff of 49 bits
Tue Oct  7 13:26:18 2008  polynomial 'A' values have 12 factors
Tue Oct  7 15:42:48 2008  63914 relations (16908 full + 47006 combined from 723821 partial), need 63595
Tue Oct  7 15:42:50 2008  begin with 740729 relations
Tue Oct  7 15:42:51 2008  reduce to 156965 relations in 10 passes
Tue Oct  7 15:42:51 2008  attempting to read 156965 relations
Tue Oct  7 15:42:55 2008  recovered 156965 relations
Tue Oct  7 15:42:55 2008  recovered 133565 polynomials
Tue Oct  7 15:42:55 2008  attempting to build 63914 cycles
Tue Oct  7 15:42:55 2008  found 63914 cycles in 6 passes
Tue Oct  7 15:42:55 2008  distribution of cycle lengths:
Tue Oct  7 15:42:55 2008     length 1 : 16908
Tue Oct  7 15:42:55 2008     length 2 : 12442
Tue Oct  7 15:42:55 2008     length 3 : 11234
Tue Oct  7 15:42:55 2008     length 4 : 8455
Tue Oct  7 15:42:55 2008     length 5 : 5982
Tue Oct  7 15:42:55 2008     length 6 : 3880
Tue Oct  7 15:42:55 2008     length 7 : 2258
Tue Oct  7 15:42:55 2008     length 9+: 2755
Tue Oct  7 15:42:55 2008  largest cycle: 19 relations
Tue Oct  7 15:42:56 2008  matrix is 63499 x 63914 (15.5 MB) with weight 3794539 (59.37/col)
Tue Oct  7 15:42:56 2008  sparse part has weight 3794539 (59.37/col)
Tue Oct  7 15:42:57 2008  filtering completed in 3 passes
Tue Oct  7 15:42:57 2008  matrix is 59321 x 59385 (14.4 MB) with weight 3538343 (59.58/col)
Tue Oct  7 15:42:57 2008  sparse part has weight 3538343 (59.58/col)
Tue Oct  7 15:42:57 2008  saving the first 48 matrix rows for later
Tue Oct  7 15:42:57 2008  matrix is 59273 x 59385 (9.0 MB) with weight 2762056 (46.51/col)
Tue Oct  7 15:42:57 2008  sparse part has weight 2003226 (33.73/col)
Tue Oct  7 15:42:57 2008  matrix includes 64 packed rows
Tue Oct  7 15:42:57 2008  using block size 21845 for processor cache size 512 kB
Tue Oct  7 15:42:58 2008  commencing Lanczos iteration
Tue Oct  7 15:42:58 2008  memory use: 8.9 MB
Tue Oct  7 15:43:33 2008  lanczos halted after 939 iterations (dim = 59273)
Tue Oct  7 15:43:34 2008  recovered 17 nontrivial dependencies
Tue Oct  7 15:43:35 2008  prp40 factor: 6918276745362442304529579011355599487433
Tue Oct  7 15:43:35 2008  prp51 factor: 414606469566875297250530265767866835398335555183037
Tue Oct  7 15:43:35 2008  elapsed time 02:17:21

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 7, 2008 01:00:00 UTC 2008 年 10 月 7 日 (火) 10 時 0 分 0 秒 (日本時間)

26×10105-539

c100

name 名前Serge Batalov
date 日付October 7, 2008 02:26:05 UTC 2008 年 10 月 7 日 (火) 11 時 26 分 5 秒 (日本時間)
composite number 合成数
1644243922574071449607813042383106430834025654884963319763894161536467527858393160097058453946530073<100>
prime factors 素因数
849624280316155038972453763277<30>
1577350554019897265169205252353313<34>
1226905483766051707687131862935370973<37>
factorization results 素因数分解の結果
Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=2391236779
Step 1 took 3248ms
Step 2 took 3033ms
********** Factor found in step 2: 849624280316155038972453763277
Found probable prime factor of 30 digits: 849624280316155038972453763277

Mon Oct  6 19:24:09 2008  Msieve v. 1.36
Mon Oct  6 19:24:09 2008  random seeds: 06327895 4682e542
Mon Oct  6 19:24:09 2008  factoring 1935260044548431731260988683498011215653904307146361370089234920583549 (70 digits)
Mon Oct  6 19:24:10 2008  no P-1/P+1/ECM available, skipping
Mon Oct  6 19:24:10 2008  commencing quadratic sieve (70-digit input)
Mon Oct  6 19:24:10 2008  using multiplier of 5
Mon Oct  6 19:24:10 2008  using 64kb Opteron sieve core
Mon Oct  6 19:24:10 2008  sieve interval: 6 blocks of size 65536
Mon Oct  6 19:24:10 2008  processing polynomials in batches of 17
Mon Oct  6 19:24:10 2008  using a sieve bound of 215143 (9551 primes)
Mon Oct  6 19:24:10 2008  using large prime bound of 20438585 (24 bits)
Mon Oct  6 19:24:10 2008  using trial factoring cutoff of 24 bits
Mon Oct  6 19:24:10 2008  polynomial 'A' values have 9 factors
Mon Oct  6 19:25:37 2008  10205 relations (4704 full + 5501 combined from 55773 partial), need 9647
Mon Oct  6 19:25:37 2008  begin with 60477 relations
Mon Oct  6 19:25:37 2008  reduce to 14980 relations in 2 passes
Mon Oct  6 19:25:37 2008  attempting to read 14980 relations
Mon Oct  6 19:25:37 2008  recovered 14980 relations
Mon Oct  6 19:25:38 2008  recovered 12682 polynomials
Mon Oct  6 19:25:38 2008  attempting to build 10205 cycles
Mon Oct  6 19:25:38 2008  found 10205 cycles in 1 passes
Mon Oct  6 19:25:38 2008  distribution of cycle lengths:
Mon Oct  6 19:25:38 2008     length 1 : 4704
Mon Oct  6 19:25:38 2008     length 2 : 5501
Mon Oct  6 19:25:38 2008  largest cycle: 2 relations
Mon Oct  6 19:25:38 2008  matrix is 9551 x 10205 (1.4 MB) with weight 297849 (29.19/col)
Mon Oct  6 19:25:38 2008  sparse part has weight 297849 (29.19/col)
Mon Oct  6 19:25:38 2008  filtering completed in 4 passes
Mon Oct  6 19:25:38 2008  matrix is 8767 x 8831 (1.2 MB) with weight 249813 (28.29/col)
Mon Oct  6 19:25:38 2008  sparse part has weight 249813 (28.29/col)
Mon Oct  6 19:25:38 2008  commencing Lanczos iteration
Mon Oct  6 19:25:38 2008  memory use: 1.6 MB
Mon Oct  6 19:25:39 2008  lanczos halted after 140 iterations (dim = 8762)
Mon Oct  6 19:25:39 2008  recovered 63 nontrivial dependencies
Mon Oct  6 19:25:40 2008  prp34 factor: 1577350554019897265169205252353313
Mon Oct  6 19:25:40 2008  prp37 factor: 1226905483766051707687131862935370973
Mon Oct  6 19:25:40 2008  elapsed time 00:01:31
software ソフトウェア
GMP-ECM 6.2.1; 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 KamadaOctober 7, 2008 01:00:00 UTC 2008 年 10 月 7 日 (火) 10 時 0 分 0 秒 (日本時間)

26×10106-539

c91

name 名前Sinkiti Sibata
date 日付October 7, 2008 09:53:40 UTC 2008 年 10 月 7 日 (火) 18 時 53 分 40 秒 (日本時間)
composite number 合成数
5556850105534860400941856415980529361598976848281810529616069149916703991904509622631115529<91>
prime factors 素因数
335500273381690253463142691283043816681<39>
16562878025476215601525675460299270300212300146053409<53>
factorization results 素因数分解の結果
Tue Oct  7 15:52:28 2008  Msieve v. 1.38
Tue Oct  7 15:52:28 2008  random seeds: 16d200f0 5ed508d6
Tue Oct  7 15:52:28 2008  factoring 5556850105534860400941856415980529361598976848281810529616069149916703991904509622631115529 (91 digits)
Tue Oct  7 15:52:30 2008  searching for 15-digit factors
Tue Oct  7 15:52:31 2008  commencing quadratic sieve (91-digit input)
Tue Oct  7 15:52:31 2008  using multiplier of 1
Tue Oct  7 15:52:31 2008  using 64kb Pentium 4 sieve core
Tue Oct  7 15:52:31 2008  sieve interval: 18 blocks of size 65536
Tue Oct  7 15:52:31 2008  processing polynomials in batches of 6
Tue Oct  7 15:52:31 2008  using a sieve bound of 1718107 (64706 primes)
Tue Oct  7 15:52:31 2008  using large prime bound of 164938272 (27 bits)
Tue Oct  7 15:52:31 2008  using double large prime bound of 618270452838912 (42-50 bits)
Tue Oct  7 15:52:31 2008  using trial factoring cutoff of 50 bits
Tue Oct  7 15:52:31 2008  polynomial 'A' values have 12 factors
Tue Oct  7 18:39:51 2008  65214 relations (16974 full + 48240 combined from 766306 partial), need 64802
Tue Oct  7 18:39:54 2008  begin with 783280 relations
Tue Oct  7 18:39:55 2008  reduce to 162786 relations in 10 passes
Tue Oct  7 18:39:55 2008  attempting to read 162786 relations
Tue Oct  7 18:39:59 2008  recovered 162786 relations
Tue Oct  7 18:39:59 2008  recovered 142392 polynomials
Tue Oct  7 18:39:59 2008  attempting to build 65214 cycles
Tue Oct  7 18:39:59 2008  found 65213 cycles in 5 passes
Tue Oct  7 18:39:59 2008  distribution of cycle lengths:
Tue Oct  7 18:39:59 2008     length 1 : 16974
Tue Oct  7 18:39:59 2008     length 2 : 12127
Tue Oct  7 18:39:59 2008     length 3 : 11248
Tue Oct  7 18:39:59 2008     length 4 : 8709
Tue Oct  7 18:39:59 2008     length 5 : 6255
Tue Oct  7 18:39:59 2008     length 6 : 4176
Tue Oct  7 18:39:59 2008     length 7 : 2520
Tue Oct  7 18:39:59 2008     length 9+: 3204
Tue Oct  7 18:39:59 2008  largest cycle: 17 relations
Tue Oct  7 18:40:00 2008  matrix is 64706 x 65213 (16.0 MB) with weight 3920348 (60.12/col)
Tue Oct  7 18:40:00 2008  sparse part has weight 3920348 (60.12/col)
Tue Oct  7 18:40:01 2008  filtering completed in 3 passes
Tue Oct  7 18:40:01 2008  matrix is 60922 x 60986 (14.9 MB) with weight 3666150 (60.11/col)
Tue Oct  7 18:40:01 2008  sparse part has weight 3666150 (60.11/col)
Tue Oct  7 18:40:01 2008  saving the first 48 matrix rows for later
Tue Oct  7 18:40:02 2008  matrix is 60874 x 60986 (9.2 MB) with weight 2856674 (46.84/col)
Tue Oct  7 18:40:02 2008  sparse part has weight 2041678 (33.48/col)
Tue Oct  7 18:40:02 2008  matrix includes 64 packed rows
Tue Oct  7 18:40:02 2008  using block size 21845 for processor cache size 512 kB
Tue Oct  7 18:40:02 2008  commencing Lanczos iteration
Tue Oct  7 18:40:02 2008  memory use: 9.1 MB
Tue Oct  7 18:40:39 2008  lanczos halted after 963 iterations (dim = 60870)
Tue Oct  7 18:40:39 2008  recovered 15 nontrivial dependencies
Tue Oct  7 18:40:40 2008  prp39 factor: 335500273381690253463142691283043816681
Tue Oct  7 18:40:40 2008  prp53 factor: 16562878025476215601525675460299270300212300146053409
Tue Oct  7 18:40:40 2008  elapsed time 02:48:12

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 7, 2008 01:00:00 UTC 2008 年 10 月 7 日 (火) 10 時 0 分 0 秒 (日本時間)

26×10121-539

c111

name 名前Robert Backstrom
date 日付October 7, 2008 10:40:02 UTC 2008 年 10 月 7 日 (火) 19 時 40 分 2 秒 (日本時間)
composite number 合成数
131408811315241709778882446115455544690473727820806141910612876582430405380071525155184407438686776994275861691<111>
prime factors 素因数
2007712048273207184446462298497217117810023<43>
65452021084529422210274885461837884035260977024336997039822115743117<68>
factorization results 素因数分解の結果
Number: n
N=131408811315241709778882446115455544690473727820806141910612876582430405380071525155184407438686776994275861691
  ( 111 digits)
SNFS difficulty: 122 digits.
Divisors found:
 r1=2007712048273207184446462298497217117810023 (pp43)
 r2=65452021084529422210274885461837884035260977024336997039822115743117 (pp68)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 1.61 hours.
Scaled time: 2.94 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_2_8_120_3
n: 131408811315241709778882446115455544690473727820806141910612876582430405380071525155184407438686776994275861691
type: snfs
skew: 0.73
deg: 5
c5: 260
c0: -53
m: 1000000000000000000000000
rlim: 500000
alim: 500000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 500000/500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved algebraic special-q in [100000, 320001)
Primes: RFBsize:41538, AFBsize:41737, largePrimes:4668741 encountered
Relations: rels:4058830, finalFF:149942
Max relations in full relation-set: 48
Initial matrix: 83342 x 149942 with sparse part having weight 20829512.
Pruned matrix : 73830 x 74310 with weight 6580037.
Total sieving time: 1.46 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.03 hours.
Total square root time: 0.04 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,122,5,0,0,0,0,0,0,0,0,500000,500000,28,28,52,52,2.5,2.5,50000
total time: 1.61 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 7, 2008 01:00:00 UTC 2008 年 10 月 7 日 (火) 10 時 0 分 0 秒 (日本時間)

26×10122-539

c117

name 名前Sinkiti Sibata
date 日付October 7, 2008 09:08:35 UTC 2008 年 10 月 7 日 (火) 18 時 8 分 35 秒 (日本時間)
composite number 合成数
206900003716242374441738033241986981692612325017305991656996080916044991838192738016769563608899469436771239498929571<117>
prime factors 素因数
19402957166974971366426216788597<32>
10663323221080904571958089552579308973412592003811372507188170021888642482959500866743<86>
factorization results 素因数分解の結果
Number: 28883_122
N=206900003716242374441738033241986981692612325017305991656996080916044991838192738016769563608899469436771239498929571
  ( 117 digits)
SNFS difficulty: 123 digits.
Divisors found:
 r1=19402957166974971366426216788597 (pp32)
 r2=10663323221080904571958089552579308973412592003811372507188170021888642482959500866743 (pp86)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 2.76 hours.
Scaled time: 2.12 units (timescale=0.768).
Factorization parameters were as follows:
name: 28883_122
n: 206900003716242374441738033241986981692612325017305991656996080916044991838192738016769563608899469436771239498929571
m: 1000000000000000000000000
c5: 2600
c0: -53
skew: 0.46
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 650001)
Primes: RFBsize:49098, AFBsize:64048, largePrimes:2190048 encountered
Relations: rels:2274759, finalFF:199026
Max relations in full relation-set: 28
Initial matrix: 113213 x 199026 with sparse part having weight 19677855.
Pruned matrix : 97348 x 97978 with weight 6954336.
Total sieving time: 2.63 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,123,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.76 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 7, 2008 01:00:00 UTC 2008 年 10 月 7 日 (火) 10 時 0 分 0 秒 (日本時間)

26×10123-539

c98

name 名前Sinkiti Sibata
date 日付October 7, 2008 13:43:17 UTC 2008 年 10 月 7 日 (火) 22 時 43 分 17 秒 (日本時間)
composite number 合成数
23418213241135893111654536836037973463107834917996575496935072255016382759107548568754821130228089<98>
prime factors 素因数
4577386029919616907920358735921111593023502164133<49>
5116066918556820603101831088148502094912304324933<49>
factorization results 素因数分解の結果
Number: 28883_123
N=23418213241135893111654536836037973463107834917996575496935072255016382759107548568754821130228089
  ( 98 digits)
SNFS difficulty: 124 digits.
Divisors found:
 r1=4577386029919616907920358735921111593023502164133 (pp49)
 r2=5116066918556820603101831088148502094912304324933 (pp49)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 2.74 hours.
Scaled time: 2.09 units (timescale=0.762).
Factorization parameters were as follows:
name: 28883_123
n: 23418213241135893111654536836037973463107834917996575496935072255016382759107548568754821130228089
m: 2000000000000000000000000
c5: 1625
c0: -106
skew: 0.58
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 650001)
Primes: RFBsize:49098, AFBsize:64263, largePrimes:2115498 encountered
Relations: rels:2111676, finalFF:135551
Max relations in full relation-set: 28
Initial matrix: 113427 x 135551 with sparse part having weight 12279235.
Pruned matrix : 108186 x 108817 with weight 8199310.
Total sieving time: 2.59 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,124,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.74 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 7, 2008 01:00:00 UTC 2008 年 10 月 7 日 (火) 10 時 0 分 0 秒 (日本時間)

26×10124-539

c125

name 名前Serge Batalov
date 日付October 7, 2008 03:42:12 UTC 2008 年 10 月 7 日 (火) 12 時 42 分 12 秒 (日本時間)
composite number 合成数
28888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883<125>
prime factors 素因数
4702771018702305749095782377707818488983640114722149202591<58>
6142950352888021378812891699753388017001993925608663874220496607213<67>
factorization results 素因数分解の結果
SNFS difficulty: 126 digits.
Divisors found:
 r1=4702771018702305749095782377707818488983640114722149202591
 r2=6142950352888021378812891699753388017001993925608663874220496607213
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.725).
Factorization parameters were as follows:
n: 28888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883
Y1: 1
Y0: -10000000000000000000000000
c5: 13
c0: -265
skew: 1.83
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 550001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 121605 x 121827
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,126,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.00 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 KamadaOctober 7, 2008 01:00:00 UTC 2008 年 10 月 7 日 (火) 10 時 0 分 0 秒 (日本時間)

26×10125-539

c109

name 名前Serge Batalov
date 日付October 7, 2008 02:32:37 UTC 2008 年 10 月 7 日 (火) 11 時 32 分 37 秒 (日本時間)
composite number 合成数
6540236458842401794103399181074677302807711089371634851115598459168090342694143474304890327633130114371315871<109>
prime factors 素因数
7155330995836183377322672101607069373<37>
914036885595968065221316256368672623704512840186938586508794752515903627<72>
factorization results 素因数分解の結果
Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=1904982041
Step 1 took 3273ms
Step 2 took 3168ms
********** Factor found in step 2: 7155330995836183377322672101607069373
Found probable prime factor of 37 digits: 7155330995836183377322672101607069373
Probable prime cofactor 914036885595968065221316256368672623704512840186938586508794752515903627 has 72 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 KamadaOctober 7, 2008 01:00:00 UTC 2008 年 10 月 7 日 (火) 10 時 0 分 0 秒 (日本時間)

26×10126-539

c116

name 名前Sinkiti Sibata
date 日付October 7, 2008 11:54:00 UTC 2008 年 10 月 7 日 (火) 20 時 54 分 0 秒 (日本時間)
composite number 合成数
22999161219902989050763756242254328115413953432130767044127223526570030118688305537411634697583777575015585520988853<116>
prime factors 素因数
165228653254615932145236476570314596911<39>
139195961274715951475738988525401637958819321233452897120611300841286875640923<78>
factorization results 素因数分解の結果
Number: 28883_126
N=22999161219902989050763756242254328115413953432130767044127223526570030118688305537411634697583777575015585520988853
  ( 116 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=165228653254615932145236476570314596911 (pp39)
 r2=139195961274715951475738988525401637958819321233452897120611300841286875640923 (pp78)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 4.67 hours.
Scaled time: 3.57 units (timescale=0.765).
Factorization parameters were as follows:
name: 28883_126
n: 22999161219902989050763756242254328115413953432130767044127223526570030118688305537411634697583777575015585520988853
m: 10000000000000000000000000
c5: 260
c0: -53
skew: 0.73
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 850001)
Primes: RFBsize:49098, AFBsize:64238, largePrimes:2372758 encountered
Relations: rels:2620192, finalFF:260114
Max relations in full relation-set: 28
Initial matrix: 113403 x 260114 with sparse part having weight 29757285.
Pruned matrix : 95261 x 95892 with weight 9517273.
Total sieving time: 4.50 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,127,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 4.67 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 7, 2008 01:00:00 UTC 2008 年 10 月 7 日 (火) 10 時 0 分 0 秒 (日本時間)

26×10127-539

c118

name 名前Sinkiti Sibata
date 日付October 7, 2008 06:36:53 UTC 2008 年 10 月 7 日 (火) 15 時 36 分 53 秒 (日本時間)
composite number 合成数
1612722011047120431126093651159581582679062156542549515978111750383441311031911185410142095485998023922924326226163369<118>
prime factors 素因数
15345026787558290531448963866298651876102210421274475955901<59>
105097373460091410047218511082896636270831228339123800626269<60>
factorization results 素因数分解の結果
Number: 28883_127
N=1612722011047120431126093651159581582679062156542549515978111750383441311031911185410142095485998023922924326226163369
  ( 118 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=15345026787558290531448963866298651876102210421274475955901 (pp59)
 r2=105097373460091410047218511082896636270831228339123800626269 (pp60)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 4.61 hours.
Scaled time: 3.60 units (timescale=0.780).
Factorization parameters were as follows:
name: 28883_127
n: 1612722011047120431126093651159581582679062156542549515978111750383441311031911185410142095485998023922924326226163369
m: 10000000000000000000000000
c5: 2600
c0: -53
skew: 0.46
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [400000, 950001)
Primes: RFBsize:63951, AFBsize:64048, largePrimes:1503692 encountered
Relations: rels:1505752, finalFF:174921
Max relations in full relation-set: 28
Initial matrix: 128066 x 174921 with sparse part having weight 12955403.
Pruned matrix : 114003 x 114707 with weight 6745759.
Total sieving time: 4.47 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,128,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 4.61 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 7, 2008 01:00:00 UTC 2008 年 10 月 7 日 (火) 10 時 0 分 0 秒 (日本時間)

26×10128-539

c101

name 名前Robert Backstrom
date 日付October 7, 2008 13:41:57 UTC 2008 年 10 月 7 日 (火) 22 時 41 分 57 秒 (日本時間)
composite number 合成数
43184256179012235031192687636333472190588881801215689091140993405776276872330744228362505736131503287<101>
prime factors 素因数
2131370352579613462233814865258221222956640337<46>
20261263429298435688151884603702447939050574911133385351<56>
factorization results 素因数分解の結果
Number: n
N=43184256179012235031192687636333472190588881801215689091140993405776276872330744228362505736131503287
  ( 101 digits)
SNFS difficulty: 129 digits.
Divisors found:

Wed Oct 08 00:36:52 2008  prp46 factor: 2131370352579613462233814865258221222956640337
Wed Oct 08 00:36:52 2008  prp56 factor: 20261263429298435688151884603702447939050574911133385351
Wed Oct 08 00:36:52 2008  elapsed time 00:10:12 (Msieve 1.38)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 2.31 hours.
Scaled time: 4.22 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_2_8_127_3
n: 43184256179012235031192687636333472190588881801215689091140993405776276872330744228362505736131503287
type: snfs
skew: 0.58
deg: 5
c5: 1625
c0: -106
m: 20000000000000000000000000
rlim: 800000
alim: 800000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 440001)
Primes: RFBsize:63951, AFBsize:64263, largePrimes:5797517 encountered
Relations: rels:4914384, finalFF:132843
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 2.22 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,129,5,0,0,0,0,0,0,0,0,800000,800000,28,28,52,52,2.5,2.5,50000
total time: 2.31 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 7, 2008 01:00:00 UTC 2008 年 10 月 7 日 (火) 10 時 0 分 0 秒 (日本時間)

26×10130-539

c122

name 名前Sinkiti Sibata
date 日付October 9, 2008 11:15:26 UTC 2008 年 10 月 9 日 (木) 20 時 15 分 26 秒 (日本時間)
composite number 合成数
11293715059006721125218699148808624484633189425484405527285773064729262964941605914266882930520205027463639498969501472733<122>
prime factors 素因数
236438277260853769814529260092665387318271835347<48>
47766018217713433955106464691584719775555236704971354158444251526906538639<74>
factorization results 素因数分解の結果
Number: 28883_130
N=11293715059006721125218699148808624484633189425484405527285773064729262964941605914266882930520205027463639498969501472733
  ( 122 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=236438277260853769814529260092665387318271835347 (pp48)
 r2=47766018217713433955106464691584719775555236704971354158444251526906538639 (pp74)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 5.80 hours.
Scaled time: 4.54 units (timescale=0.783).
Factorization parameters were as follows:
name: 28883_130
n: 11293715059006721125218699148808624484633189425484405527285773064729262964941605914266882930520205027463639498969501472733
m: 100000000000000000000000000
c5: 26
c0: -53
skew: 1.15
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [400000, 1150001)
Primes: RFBsize:63951, AFBsize:63973, largePrimes:1545334 encountered
Relations: rels:1548381, finalFF:166677
Max relations in full relation-set: 28
Initial matrix: 127990 x 166677 with sparse part having weight 14699325.
Pruned matrix : 118264 x 118967 with weight 8717232.
Total sieving time: 5.63 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 5.80 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 7, 2008 01:00:00 UTC 2008 年 10 月 7 日 (火) 10 時 0 分 0 秒 (日本時間)

26×10133-539

c92

name 名前Sinkiti Sibata
date 日付October 7, 2008 13:36:10 UTC 2008 年 10 月 7 日 (火) 22 時 36 分 10 秒 (日本時間)
composite number 合成数
13180553916714386534909752569425608716853442786350982542867254483031175653902223819877567099<92>
prime factors 素因数
5002428365042696296439157033787319<34>
2634831116987297229287109977599312699036948502466768118621<58>
factorization results 素因数分解の結果
Tue Oct  7 18:56:25 2008  Msieve v. 1.38
Tue Oct  7 18:56:25 2008  random seeds: 83ca2303 33019c16
Tue Oct  7 18:56:25 2008  factoring 13180553916714386534909752569425608716853442786350982542867254483031175653902223819877567099 (92 digits)
Tue Oct  7 18:56:26 2008  searching for 15-digit factors
Tue Oct  7 18:56:28 2008  commencing quadratic sieve (92-digit input)
Tue Oct  7 18:56:28 2008  using multiplier of 11
Tue Oct  7 18:56:28 2008  using 64kb Pentium 4 sieve core
Tue Oct  7 18:56:28 2008  sieve interval: 18 blocks of size 65536
Tue Oct  7 18:56:28 2008  processing polynomials in batches of 6
Tue Oct  7 18:56:28 2008  using a sieve bound of 1753553 (65561 primes)
Tue Oct  7 18:56:28 2008  using large prime bound of 177108853 (27 bits)
Tue Oct  7 18:56:28 2008  using double large prime bound of 702801048059511 (42-50 bits)
Tue Oct  7 18:56:28 2008  using trial factoring cutoff of 50 bits
Tue Oct  7 18:56:28 2008  polynomial 'A' values have 12 factors
Tue Oct  7 22:29:52 2008  65765 relations (16425 full + 49340 combined from 804803 partial), need 65657
Tue Oct  7 22:29:55 2008  begin with 821228 relations
Tue Oct  7 22:29:56 2008  reduce to 167642 relations in 10 passes
Tue Oct  7 22:29:56 2008  attempting to read 167642 relations
Tue Oct  7 22:30:01 2008  recovered 167642 relations
Tue Oct  7 22:30:01 2008  recovered 150130 polynomials
Tue Oct  7 22:30:01 2008  attempting to build 65765 cycles
Tue Oct  7 22:30:01 2008  found 65765 cycles in 6 passes
Tue Oct  7 22:30:01 2008  distribution of cycle lengths:
Tue Oct  7 22:30:01 2008     length 1 : 16425
Tue Oct  7 22:30:01 2008     length 2 : 11908
Tue Oct  7 22:30:01 2008     length 3 : 11132
Tue Oct  7 22:30:01 2008     length 4 : 9002
Tue Oct  7 22:30:01 2008     length 5 : 6712
Tue Oct  7 22:30:01 2008     length 6 : 4291
Tue Oct  7 22:30:01 2008     length 7 : 2786
Tue Oct  7 22:30:01 2008     length 9+: 3509
Tue Oct  7 22:30:01 2008  largest cycle: 20 relations
Tue Oct  7 22:30:01 2008  matrix is 65561 x 65765 (16.2 MB) with weight 3995981 (60.76/col)
Tue Oct  7 22:30:01 2008  sparse part has weight 3995981 (60.76/col)
Tue Oct  7 22:30:02 2008  filtering completed in 3 passes
Tue Oct  7 22:30:02 2008  matrix is 62136 x 62200 (15.5 MB) with weight 3802683 (61.14/col)
Tue Oct  7 22:30:02 2008  sparse part has weight 3802683 (61.14/col)
Tue Oct  7 22:30:03 2008  saving the first 48 matrix rows for later
Tue Oct  7 22:30:03 2008  matrix is 62088 x 62200 (9.0 MB) with weight 2903630 (46.68/col)
Tue Oct  7 22:30:03 2008  sparse part has weight 1995181 (32.08/col)
Tue Oct  7 22:30:03 2008  matrix includes 64 packed rows
Tue Oct  7 22:30:03 2008  using block size 21845 for processor cache size 512 kB
Tue Oct  7 22:30:04 2008  commencing Lanczos iteration
Tue Oct  7 22:30:04 2008  memory use: 9.2 MB
Tue Oct  7 22:30:42 2008  lanczos halted after 983 iterations (dim = 62086)
Tue Oct  7 22:30:42 2008  recovered 17 nontrivial dependencies
Tue Oct  7 22:30:43 2008  prp34 factor: 5002428365042696296439157033787319
Tue Oct  7 22:30:43 2008  prp58 factor: 2634831116987297229287109977599312699036948502466768118621
Tue Oct  7 22:30:43 2008  elapsed time 03:34:18

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 7, 2008 01:00:00 UTC 2008 年 10 月 7 日 (火) 10 時 0 分 0 秒 (日本時間)

26×10137-539

c133

name 名前Sinkiti Sibata
date 日付October 7, 2008 20:14:10 UTC 2008 年 10 月 8 日 (水) 5 時 14 分 10 秒 (日本時間)
composite number 合成数
1913919272357337561622679648928315625899450042658316089656812190782417559767650200335819220019006690620102483015806764821280426715663<133>
prime factors 素因数
41029142321912814750708583949<29>
46647801149261483258230864451435677225991269707280561420744207532823419482080864353602554573078146542987<104>
factorization results 素因数分解の結果
Number: 28883_137
N=1913919272357337561622679648928315625899450042658316089656812190782417559767650200335819220019006690620102483015806764821280426715663
  ( 133 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=41029142321912814750708583949 (pp29)
 r2=46647801149261483258230864451435677225991269707280561420744207532823419482080864353602554573078146542987 (pp104)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 11.37 hours.
Scaled time: 11.46 units (timescale=1.008).
Factorization parameters were as follows:
name: 28883_137
n: 1913919272357337561622679648928315625899450042658316089656812190782417559767650200335819220019006690620102483015806764821280426715663
m: 1000000000000000000000000000
c5: 2600
c0: -53
skew: 0.46
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 2275001)
Primes: RFBsize:78498, AFBsize:64048, largePrimes:1748682 encountered
Relations: rels:1827123, finalFF:206065
Max relations in full relation-set: 28
Initial matrix: 142613 x 206065 with sparse part having weight 24284636.
Pruned matrix : 129253 x 130030 with weight 14132842.
Total sieving time: 11.20 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,138,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 11.37 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 KamadaOctober 7, 2008 01:00:00 UTC 2008 年 10 月 7 日 (火) 10 時 0 分 0 秒 (日本時間)

26×10142-539

c103

name 名前Robert Backstrom
date 日付October 7, 2008 22:11:50 UTC 2008 年 10 月 8 日 (水) 7 時 11 分 50 秒 (日本時間)
composite number 合成数
1613344724660769886649916619810211394771546044497351298684758158261984306026169867062528357836858622513<103>
prime factors 素因数
132486450373648223508514208908735758773123<42>
12177431881605206398029290707267400696763668300063466828015931<62>
factorization results 素因数分解の結果
Number: n
N=1613344724660769886649916619810211394771546044497351298684758158261984306026169867062528357836858622513
  ( 103 digits)
SNFS difficulty: 143 digits.
Divisors found:

Wed Oct 08 09:00:44 2008  prp42 factor: 132486450373648223508514208908735758773123
Wed Oct 08 09:00:44 2008  prp62 factor: 12177431881605206398029290707267400696763668300063466828015931
Wed Oct 08 09:00:44 2008  elapsed time 00:26:15 (Msieve 1.38)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 6.07 hours.
Scaled time: 11.10 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_2_8_141_3
n: 1613344724660769886649916619810211394771546044497351298684758158261984306026169867062528357836858622513
type: snfs
skew: 0.46
deg: 5
c5: 2600
c0: -53
m: 10000000000000000000000000000
rlim: 1300000
alim: 1300000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 1180001)
Primes: RFBsize:100021, AFBsize:100068, largePrimes:9478504 encountered
Relations: rels:8279703, finalFF:207932
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 5.87 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,143,5,0,0,0,0,0,0,0,0,1300000,1300000,28,28,52,52,2.5,2.5,100000
total time: 6.07 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 KamadaOctober 7, 2008 01:00:00 UTC 2008 年 10 月 7 日 (火) 10 時 0 分 0 秒 (日本時間)

26×10143-539

c120

name 名前Sinkiti Sibata
date 日付October 7, 2008 12:11:38 UTC 2008 年 10 月 7 日 (火) 21 時 11 分 38 秒 (日本時間)
composite number 合成数
395254961669796004987946127703194385910388393704209881767151146015249881172862281036767220131736918647909394011455004981<120>
prime factors 素因数
72608421793173348599781043468017773823555749411<47>
5443651740505919077345587202768020121504697287012529543072932930028188871<73>
factorization results 素因数分解の結果
Number: 28883_143
N=395254961669796004987946127703194385910388393704209881767151146015249881172862281036767220131736918647909394011455004981
  ( 120 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=72608421793173348599781043468017773823555749411 (pp47)
 r2=5443651740505919077345587202768020121504697287012529543072932930028188871 (pp73)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 17.55 hours.
Scaled time: 17.69 units (timescale=1.008).
Factorization parameters were as follows:
name: 28883_143
n: 395254961669796004987946127703194385910388393704209881767151146015249881172862281036767220131736918647909394011455004981
m: 20000000000000000000000000000
c5: 1625
c0: -106
skew: 0.58
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [650000, 3150001)
Primes: RFBsize:100021, AFBsize:100028, largePrimes:3026076 encountered
Relations: rels:3108906, finalFF:263940
Max relations in full relation-set: 28
Initial matrix: 200115 x 263940 with sparse part having weight 33430537.
Pruned matrix : 184887 x 185951 with weight 22544896.
Total sieving time: 17.21 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.24 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,144,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 17.55 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 KamadaOctober 7, 2008 01:00:00 UTC 2008 年 10 月 7 日 (火) 10 時 0 分 0 秒 (日本時間)

26×10145-539

c96

name 名前Sinkiti Sibata
date 日付October 8, 2008 04:30:05 UTC 2008 年 10 月 8 日 (水) 13 時 30 分 5 秒 (日本時間)
composite number 合成数
795211974785813302750461673722896568366746906042605051709158919773319198321998699917820402360183<96>
prime factors 素因数
6321322749840508001653491196321933073104039<43>
125798350480661208614497151909486922156386678885355697<54>
factorization results 素因数分解の結果
Tue Oct  7 22:38:21 2008  Msieve v. 1.38
Tue Oct  7 22:38:21 2008  random seeds: dcc069ef 6a45db20
Tue Oct  7 22:38:21 2008  factoring 795211974785813302750461673722896568366746906042605051709158919773319198321998699917820402360183 (96 digits)
Tue Oct  7 22:38:23 2008  searching for 15-digit factors
Tue Oct  7 22:38:25 2008  commencing quadratic sieve (96-digit input)
Tue Oct  7 22:38:25 2008  using multiplier of 7
Tue Oct  7 22:38:25 2008  using 64kb Pentium 4 sieve core
Tue Oct  7 22:38:25 2008  sieve interval: 18 blocks of size 65536
Tue Oct  7 22:38:25 2008  processing polynomials in batches of 6
Tue Oct  7 22:38:25 2008  using a sieve bound of 2298871 (84706 primes)
Tue Oct  7 22:38:25 2008  using large prime bound of 344830650 (28 bits)
Tue Oct  7 22:38:25 2008  using double large prime bound of 2331795890236200 (43-52 bits)
Tue Oct  7 22:38:25 2008  using trial factoring cutoff of 52 bits
Tue Oct  7 22:38:25 2008  polynomial 'A' values have 13 factors
Wed Oct  8 08:11:12 2008  85140 relations (20193 full + 64947 combined from 1290119 partial), need 84802
Wed Oct  8 08:11:17 2008  begin with 1310312 relations
Wed Oct  8 08:11:19 2008  reduce to 225183 relations in 10 passes
Wed Oct  8 08:11:19 2008  attempting to read 225183 relations
Wed Oct  8 08:11:26 2008  recovered 225183 relations
Wed Oct  8 08:11:26 2008  recovered 213287 polynomials
Wed Oct  8 08:11:27 2008  attempting to build 85140 cycles
Wed Oct  8 08:11:27 2008  found 85140 cycles in 5 passes
Wed Oct  8 08:11:27 2008  distribution of cycle lengths:
Wed Oct  8 08:11:27 2008     length 1 : 20193
Wed Oct  8 08:11:27 2008     length 2 : 14574
Wed Oct  8 08:11:27 2008     length 3 : 14166
Wed Oct  8 08:11:27 2008     length 4 : 11703
Wed Oct  8 08:11:27 2008     length 5 : 8966
Wed Oct  8 08:11:27 2008     length 6 : 6093
Wed Oct  8 08:11:27 2008     length 7 : 4011
Wed Oct  8 08:11:27 2008     length 9+: 5434
Wed Oct  8 08:11:27 2008  largest cycle: 20 relations
Wed Oct  8 08:11:27 2008  matrix is 84706 x 85140 (23.0 MB) with weight 5695354 (66.89/col)
Wed Oct  8 08:11:27 2008  sparse part has weight 5695354 (66.89/col)
Wed Oct  8 08:11:29 2008  filtering completed in 3 passes
Wed Oct  8 08:11:29 2008  matrix is 81132 x 81196 (22.0 MB) with weight 5438057 (66.97/col)
Wed Oct  8 08:11:29 2008  sparse part has weight 5438057 (66.97/col)
Wed Oct  8 08:11:30 2008  saving the first 48 matrix rows for later
Wed Oct  8 08:11:30 2008  matrix is 81084 x 81196 (13.8 MB) with weight 4318391 (53.18/col)
Wed Oct  8 08:11:30 2008  sparse part has weight 3130861 (38.56/col)
Wed Oct  8 08:11:30 2008  matrix includes 64 packed rows
Wed Oct  8 08:11:30 2008  using block size 21845 for processor cache size 512 kB
Wed Oct  8 08:11:31 2008  commencing Lanczos iteration
Wed Oct  8 08:11:31 2008  memory use: 13.3 MB
Wed Oct  8 08:12:42 2008  lanczos halted after 1284 iterations (dim = 81079)
Wed Oct  8 08:12:42 2008  recovered 14 nontrivial dependencies
Wed Oct  8 08:12:45 2008  prp43 factor: 6321322749840508001653491196321933073104039
Wed Oct  8 08:12:45 2008  prp54 factor: 125798350480661208614497151909486922156386678885355697
Wed Oct  8 08:12:45 2008  elapsed time 09:34:24

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 7, 2008 01:00:00 UTC 2008 年 10 月 7 日 (火) 10 時 0 分 0 秒 (日本時間)

26×10147-539

c140

name 名前Serge Batalov
date 日付October 7, 2008 17:18:37 UTC 2008 年 10 月 8 日 (水) 2 時 18 分 37 秒 (日本時間)
composite number 合成数
16974627507843627717945773955702749601675186294235530815923866466186131022528717141096308785443772221121711419968506412116249381128747611989<140>
prime factors 素因数
29588801926945123689788161696051<32>
139196806868612644199754015153798471168262938060269<51>
4121388922514085391358255144517180551116771872537841893331<58>
factorization results 素因数分解の結果
SNFS difficulty: 148 digits.
Divisors found:
 r1=29588801926945123689788161696051
 r2=139196806868612644199754015153798471168262938060269
 r3=4121388922514085391358255144517180551116771872537841893331
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.719).
Factorization parameters were as follows:
n: 16974627507843627717945773955702749601675186294235530815923866466186131022528717141096308785443772221121711419968506412116249381128747611989
Y1: 1
Y0: -100000000000000000000000000000
c5: 2600
c0: -53
skew: 0.46
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved rational special-q in [750000, 3750001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 291409 x 291640
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,148,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 11.00 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 KamadaOctober 7, 2008 01:00:00 UTC 2008 年 10 月 7 日 (火) 10 時 0 分 0 秒 (日本時間)

26×10149-539

c109

name 名前Sinkiti Sibata
date 日付October 7, 2008 20:11:18 UTC 2008 年 10 月 8 日 (水) 5 時 11 分 18 秒 (日本時間)
composite number 合成数
5501716716175370397325516787455730544812029811212504821841017486779689125976143858501663582405137361886175089<109>
prime factors 素因数
97788970591581258252270720835373003<35>
56261117004221928191795911695451058499504506266353625153621755380206925363<74>
factorization results 素因数分解の結果
Number: 28883_149
N=5501716716175370397325516787455730544812029811212504821841017486779689125976143858501663582405137361886175089
  ( 109 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=97788970591581258252270720835373003 (pp35)
 r2=56261117004221928191795911695451058499504506266353625153621755380206925363 (pp74)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 24.19 hours.
Scaled time: 24.45 units (timescale=1.011).
Factorization parameters were as follows:
name: 28883_149
n: 5501716716175370397325516787455730544812029811212504821841017486779689125976143858501663582405137361886175089
m: 1000000000000000000000000000000
c5: 13
c0: -265
skew: 1.83
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1200000, 2100001)
Primes: RFBsize:176302, AFBsize:176698, largePrimes:6417293 encountered
Relations: rels:7070190, finalFF:1144358
Max relations in full relation-set: 28
Initial matrix: 353065 x 1144358 with sparse part having weight 107679175.
Pruned matrix : 220217 x 222046 with weight 44610337.
Total sieving time: 23.50 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.54 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 24.19 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 KamadaOctober 7, 2008 01:00:00 UTC 2008 年 10 月 7 日 (火) 10 時 0 分 0 秒 (日本時間)

26×10155-539

c145

name 名前Serge Batalov
date 日付October 7, 2008 17:05:45 UTC 2008 年 10 月 8 日 (水) 2 時 5 分 45 秒 (日本時間)
composite number 合成数
2981861862120119615887713186398638205260652191842307936270171788636635958695897921592639721935067884115577828593561820025988495069401695362475623<145>
prime factors 素因数
434606430250744155498232965602831581<36>
6861062456898643456131174629095768996957912069600254884539207471769541324001009925483131949479653797412862483<109>
factorization results 素因数分解の結果
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=1810396645
Step 1 took 18717ms
Step 2 took 16371ms
********** Factor found in step 2: 434606430250744155498232965602831581
Found probable prime factor of 36 digits: 434606430250744155498232965602831581
Probable prime cofactor 6861062456898643456131174629095768996957912069600254884539207471769541324001009925483131949479653797412862483 has 109 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 KamadaOctober 7, 2008 01:00:00 UTC 2008 年 10 月 7 日 (火) 10 時 0 分 0 秒 (日本時間)

26×10156-539

c135

name 名前Serge Batalov
date 日付October 7, 2008 03:15:31 UTC 2008 年 10 月 7 日 (火) 12 時 15 分 31 秒 (日本時間)
composite number 合成数
196236152372849211096736564747460278980646746291209090364477907750971469759978244588571620313870301994993603629412154026840477664547571<135>
prime factors 素因数
29861311761897452258856672790427<32>
6571585131207911210838823149579888907845030427984588149967313321690114167689229511352163744579597243273<103>
factorization results 素因数分解の結果
Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=3981921852
Step 1 took 5012ms
Step 2 took 4817ms
********** Factor found in step 2: 29861311761897452258856672790427
Found probable prime factor of 32 digits: 29861311761897452258856672790427
Probable prime cofactor 6571585131207911210838823149579888907845030427984588149967313321690114167689229511352163744579597243273 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 KamadaOctober 7, 2008 01:00:00 UTC 2008 年 10 月 7 日 (火) 10 時 0 分 0 秒 (日本時間)

26×10157-539

c89

name 名前Serge Batalov
date 日付October 7, 2008 03:23:49 UTC 2008 年 10 月 7 日 (火) 12 時 23 分 49 秒 (日本時間)
composite number 合成数
30880780069824376361574877541433529546434253609647535122483720592782720577763879432037719<89>
prime factors 素因数
18327578493929997273111231602653<32>
1684935087308557261733642836693608542354060512864471113923<58>
factorization results 素因数分解の結果
Mon Oct  6 19:09:21 2008  Msieve v. 1.36
Mon Oct  6 19:09:21 2008  random seeds: 912b2852 0c5bdc26
Mon Oct  6 19:09:21 2008  factoring 30880780069824376361574877541433529546434253609647535122483720592782720577763879432037719 (89 digits)
Mon Oct  6 19:09:22 2008  no P-1/P+1/ECM available, skipping
Mon Oct  6 19:09:22 2008  commencing quadratic sieve (89-digit input)
Mon Oct  6 19:09:23 2008  using multiplier of 59
Mon Oct  6 19:09:23 2008  using 64kb Opteron sieve core
Mon Oct  6 19:09:23 2008  sieve interval: 15 blocks of size 65536
Mon Oct  6 19:09:23 2008  processing polynomials in batches of 7
Mon Oct  6 19:09:23 2008  using a sieve bound of 1545001 (58667 primes)
Mon Oct  6 19:09:23 2008  using large prime bound of 123600080 (26 bits)
Mon Oct  6 19:09:23 2008  using double large prime bound of 367818635270160 (42-49 bits)
Mon Oct  6 19:09:23 2008  using trial factoring cutoff of 49 bits
Mon Oct  6 19:09:23 2008  polynomial 'A' values have 12 factors
Mon Oct  6 20:22:39 2008  58782 relations (16284 full + 42498 combined from 616885 partial), need 58763
Mon Oct  6 20:22:39 2008  begin with 633169 relations
Mon Oct  6 20:22:40 2008  reduce to 141208 relations in 11 passes
Mon Oct  6 20:22:40 2008  attempting to read 141208 relations
Mon Oct  6 20:22:41 2008  recovered 141208 relations
Mon Oct  6 20:22:41 2008  recovered 121099 polynomials
Mon Oct  6 20:22:41 2008  attempting to build 58782 cycles
Mon Oct  6 20:22:41 2008  found 58782 cycles in 5 passes
Mon Oct  6 20:22:41 2008  distribution of cycle lengths:
Mon Oct  6 20:22:41 2008     length 1 : 16284
Mon Oct  6 20:22:41 2008     length 2 : 11594
Mon Oct  6 20:22:41 2008     length 3 : 10265
Mon Oct  6 20:22:41 2008     length 4 : 7688
Mon Oct  6 20:22:41 2008     length 5 : 5399
Mon Oct  6 20:22:41 2008     length 6 : 3363
Mon Oct  6 20:22:41 2008     length 7 : 1903
Mon Oct  6 20:22:41 2008     length 9+: 2286
Mon Oct  6 20:22:41 2008  largest cycle: 17 relations
Mon Oct  6 20:22:41 2008  matrix is 58667 x 58782 (14.9 MB) with weight 3437105 (58.47/col)
Mon Oct  6 20:22:41 2008  sparse part has weight 3437105 (58.47/col)
Mon Oct  6 20:22:42 2008  filtering completed in 3 passes
Mon Oct  6 20:22:42 2008  matrix is 54537 x 54601 (14.0 MB) with weight 3223743 (59.04/col)
Mon Oct  6 20:22:42 2008  sparse part has weight 3223743 (59.04/col)
Mon Oct  6 20:22:42 2008  saving the first 48 matrix rows for later
Mon Oct  6 20:22:42 2008  matrix is 54489 x 54601 (9.0 MB) with weight 2509159 (45.95/col)
Mon Oct  6 20:22:42 2008  sparse part has weight 1807075 (33.10/col)
Mon Oct  6 20:22:42 2008  matrix includes 64 packed rows
Mon Oct  6 20:22:42 2008  using block size 21840 for processor cache size 1024 kB
Mon Oct  6 20:22:43 2008  commencing Lanczos iteration
Mon Oct  6 20:22:43 2008  memory use: 8.0 MB
Mon Oct  6 20:23:04 2008  lanczos halted after 863 iterations (dim = 54485)
Mon Oct  6 20:23:04 2008  recovered 14 nontrivial dependencies
Mon Oct  6 20:23:05 2008  prp32 factor: 18327578493929997273111231602653
Mon Oct  6 20:23:05 2008  prp58 factor: 1684935087308557261733642836693608542354060512864471113923
Mon Oct  6 20:23:05 2008  elapsed time 01:13:44
software ソフトウェア
Msieve v. 1.36

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 7, 2008 01:00:00 UTC 2008 年 10 月 7 日 (火) 10 時 0 分 0 秒 (日本時間)

26×10158-539

c98

name 名前Robert Backstrom
date 日付October 7, 2008 07:14:14 UTC 2008 年 10 月 7 日 (火) 16 時 14 分 14 秒 (日本時間)
composite number 合成数
20331271654977211294393339555490793753127508716336082890964068276470475952992887907854903370728857<98>
prime factors 素因数
12344721383578441602570691129719532666583<41>
1646960755389981787462956664892649361997386854346581393679<58>
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 20331271654977211294393339555490793753127508716336082890964068276470475952992887907854903370728857 (98 digits)
Using B1=2008000, B2=2853999340, polynomial Dickson(6), sigma=809588647
Step 1 took 14062ms
********** Factor found in step 1: 12344721383578441602570691129719532666583
Found probable prime factor of 41 digits: 12344721383578441602570691129719532666583
Probable prime cofactor 1646960755389981787462956664892649361997386854346581393679 has 58 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 7, 2008 01:00:00 UTC 2008 年 10 月 7 日 (火) 10 時 0 分 0 秒 (日本時間)
351e6904Serge BatalovOctober 7, 2008 06:18:26 UTC 2008 年 10 月 7 日 (火) 15 時 18 分 26 秒 (日本時間)

26×10159-539

c129

name 名前Serge Batalov
date 日付October 7, 2008 10:04:44 UTC 2008 年 10 月 7 日 (火) 19 時 4 分 44 秒 (日本時間)
composite number 合成数
540867946412947238983837576736402476646300389187376607989044293296034269709414547519382982732739649482451258823652599480116108499<129>
prime factors 素因数
10313704067523250659900937829730796309<38>
composite cofactor 合成数の残り
52441677875563878773945469819992980394894802790218697762200342387440721101475627254741219911<92>
factorization results 素因数分解の結果
Input number is 540867946412947238983837576736402476646300389187376607989044293296034269709414547519382982732739649482451258823652599480116108499 (129 digits)
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=1193863371
Step 1 took 15386ms
Step 2 took 15370ms
********** Factor found in step 2: 10313704067523250659900937829730796309
Found probable prime factor of 38 digits: 10313704067523250659900937829730796309
Composite cofactor 52441677875563878773945469819992980394894802790218697762200342387440721101475627254741219911 has 92 digits
software ソフトウェア
GMP-ECM 6.2.1

c92

name 名前Serge Batalov
date 日付October 7, 2008 20:33:47 UTC 2008 年 10 月 8 日 (水) 5 時 33 分 47 秒 (日本時間)
composite number 合成数
52441677875563878773945469819992980394894802790218697762200342387440721101475627254741219911<92>
prime factors 素因数
11921264837382755488951323168235476632314123<44>
4399002839960155168477804483921875138150723586357<49>
factorization results 素因数分解の結果
Number: 28883_159
N=52441677875563878773945469819992980394894802790218697762200342387440721101475627254741219911
  ( 92 digits)
Divisors found:
 r1=11921264837382755488951323168235476632314123
 r2=4399002839960155168477804483921875138150723586357
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.943).
Factorization parameters were as follows:
name: 28883_159
n:  52441677875563878773945469819992980394894802790218697762200342387440721101475627254741219911
Y1: 1
Y0: -1064529985727826489681
deg: 4
c4: 40836168
c3: 202395460292
c2: 37363335780110865
c1: -807240905915521234
c0: -18833047913277457717700
skew: 1635.250
type: gnfs
# adj. I(F,S) = 52.156
# E(F1,F2) = 1.052910e-04
# GGNFS version 0.77.1-20060722-k8 polyselect.
# Options were:
# lcd=1, enumLCD=24, maxS1=58.00000000, seed=1223408207.
# maxskew=2000.0
# These parameters should be manually set:
rlim: 700000
alim: 700000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.4
alambda: 2.4
qintsize: 40000
type: gnfs
Factor base limits: 700000/700000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [350000, 790001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 122147 x 122395
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,91,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,700000,700000,25,25,44,44,2.4,2.4,40000
total time: 1.00 hours.
software ソフトウェア
Msieve-1.38+polyselect
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 KamadaOctober 7, 2008 01:00:00 UTC 2008 年 10 月 7 日 (火) 10 時 0 分 0 秒 (日本時間)

26×10160-539

c137

name 名前Sinkiti Sibata
date 日付October 9, 2008 05:38:03 UTC 2008 年 10 月 9 日 (木) 14 時 38 分 3 秒 (日本時間)
composite number 合成数
17563742810030346118482219962830768316393397876574007624819397524539131637145339947227845276968833406707060393815181493162114024771700741<137>
prime factors 素因数
24699164607397616188571642243521836798253<41>
4778115508280883342643806899807566682589691<43>
148825777520226664598083038604252245390400654880786267<54>
factorization results 素因数分解の結果
Number: 28883_160
N=17563742810030346118482219962830768316393397876574007624819397524539131637145339947227845276968833406707060393815181493162114024771700741
  ( 137 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=24699164607397616188571642243521836798253 (pp41)
 r2=4778115508280883342643806899807566682589691 (pp43)
 r3=148825777520226664598083038604252245390400654880786267 (pp54)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 75.15 hours.
Scaled time: 57.57 units (timescale=0.766).
Factorization parameters were as follows:
name: 28883_160
n: 17563742810030346118482219962830768316393397876574007624819397524539131637145339947227845276968833406707060393815181493162114024771700741
m: 100000000000000000000000000000000
c5: 26
c0: -53
skew: 1.15
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2000000, 4500001)
Primes: RFBsize:283146, AFBsize:282797, largePrimes:5867428 encountered
Relations: rels:5950995, finalFF:678604
Max relations in full relation-set: 28
Initial matrix: 566009 x 678604 with sparse part having weight 55712005.
Pruned matrix : 491609 x 494503 with weight 40623709.
Total sieving time: 71.62 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 3.19 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 75.15 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 7, 2008 01:00:00 UTC 2008 年 10 月 7 日 (火) 10 時 0 分 0 秒 (日本時間)

26×10161-539

c149

name 名前Serge Batalov
date 日付October 7, 2008 17:11:03 UTC 2008 年 10 月 8 日 (水) 2 時 11 分 3 秒 (日本時間)
composite number 合成数
95556460119776824140681734005614945558557064412858747129162824146979553114842635616632409878886974756421559331683241340660947531973593588107432156549<149>
prime factors 素因数
2820898047146817411392847106167872926575917073080403520030662745443696079<73>
33874481999243789182317500712459693487731094537714674684152288464812979533931<77>
factorization results 素因数分解の結果
N=95556460119776824140681734005614945558557064412858747129162824146979553114842635616632409878886974756421559331683241340660947531973593588107432156549
  ( 149 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=2820898047146817411392847106167872926575917073080403520030662745443696079
 r2=33874481999243789182317500712459693487731094537714674684152288464812979533931
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.950).
Factorization parameters were as follows:
n: 95556460119776824140681734005614945558557064412858747129162824146979553114842635616632409878886974756421559331683241340660947531973593588107432156549
Y1: 1
Y0: -100000000000000000000000000000000
c5: 260
c0: -53
skew: 0.73
type: snfs
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved rational special-q in [2250000, 3950001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 812374 x 812622
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,162,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,54,54,2.5,2.5,100000
total time: 20.00 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 KamadaOctober 7, 2008 01:00:00 UTC 2008 年 10 月 7 日 (火) 10 時 0 分 0 秒 (日本時間)

26×10164-539

c108

name 名前Sinkiti Sibata
date 日付October 9, 2008 07:50:21 UTC 2008 年 10 月 9 日 (木) 16 時 50 分 21 秒 (日本時間)
composite number 合成数
568390770179589408939872195752617880907878497620541326109998551022184578078602427260979786896871916978221303<108>
prime factors 素因数
22070470776022600268261014908547019424559<41>
25753450207192235293374738897634290020737717214515574604202694188217<68>
factorization results 素因数分解の結果
Number: 28883_164
N=568390770179589408939872195752617880907878497620541326109998551022184578078602427260979786896871916978221303
  ( 108 digits)
Divisors found:
 r1=22070470776022600268261014908547019424559 (pp41)
 r2=25753450207192235293374738897634290020737717214515574604202694188217 (pp68)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 23.43 hours.
Scaled time: 11.06 units (timescale=0.472).
Factorization parameters were as follows:
name: 28883_164
n: 568390770179589408939872195752617880907878497620541326109998551022184578078602427260979786896871916978221303
skew: 7666.01
# norm 2.95e+14
c5: 187200
c4: 843376632
c3: -3418951398874
c2: -175469085741270535
c1: -370049593689987005412
c0: 1943332529637999987863604
# alpha -5.56
Y1: 118808547149
Y0: -313666462701129548531
# Murphy_E 1.31e-09
# M 262874865414326697381161367861846653573701310987028493467367656403077279337065340473173389149331409696073463
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, 2600001)
Primes: RFBsize:183072, AFBsize:182839, largePrimes:4583538 encountered
Relations: rels:4786702, finalFF:525654
Max relations in full relation-set: 28
Initial matrix: 365992 x 525654 with sparse part having weight 44709387.
Pruned matrix : 260833 x 262726 with weight 24752832.
Polynomial selection time: 1.20 hours.
Total sieving time: 19.51 hours.
Total relation processing time: 0.34 hours.
Matrix solve time: 2.17 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
gnfs,107,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 23.43 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 KamadaOctober 7, 2008 01:00:00 UTC 2008 年 10 月 7 日 (火) 10 時 0 分 0 秒 (日本時間)

26×10166-539

c153

name 名前Sinkiti Sibata
date 日付October 11, 2008 10:11:06 UTC 2008 年 10 月 11 日 (土) 19 時 11 分 6 秒 (日本時間)
composite number 合成数
175545053350029188479712622193807947858289238010646688835359710365749635407791235397932755833241463063172111251654787140131951630486754812817265645062097<153>
prime factors 素因数
265118142137434755285925832970724934903901408844488191<54>
662138969195960498557622691000644669495559191169984336202123246282041767740138009213412163051256367<99>
factorization results 素因数分解の結果
Number: 28883_166
N=175545053350029188479712622193807947858289238010646688835359710365749635407791235397932755833241463063172111251654787140131951630486754812817265645062097
  ( 153 digits)
SNFS difficulty: 167 digits.
Divisors found:
 r1=265118142137434755285925832970724934903901408844488191 (pp54)
 r2=662138969195960498557622691000644669495559191169984336202123246282041767740138009213412163051256367 (pp99)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 133.61 hours.
Scaled time: 134.68 units (timescale=1.008).
Factorization parameters were as follows:
28883_166
n: 175545053350029188479712622193807947858289238010646688835359710365749635407791235397932755833241463063172111251654787140131951630486754812817265645062097
m: 1000000000000000000000000000000000
c5: 260
c0: -53
skew: 0.73
type: snfs
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2750000, 7650001)
Primes: RFBsize:380800, AFBsize:381462, largePrimes:6278885 encountered
Relations: rels:6593734, finalFF:945834
Max relations in full relation-set: 28
Initial matrix: 762329 x 945834 with sparse part having weight 74842668.
Pruned matrix : 619288 x 623163 with weight 56284364.
Total sieving time: 129.71 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 3.66 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,48,48,2.6,2.6,100000
total time: 133.61 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 KamadaOctober 7, 2008 01:00:00 UTC 2008 年 10 月 7 日 (火) 10 時 0 分 0 秒 (日本時間)

26×10167-539

c134

name 名前Sinkiti Sibata
date 日付October 13, 2008 06:17:38 UTC 2008 年 10 月 13 日 (月) 15 時 17 分 38 秒 (日本時間)
composite number 合成数
40200803635172132619878290809551400226863431975204543229129709070472743443263344426800924623027279256511540239797176634645520875205127<134>
prime factors 素因数
641381666556496229620462884848095705753<39>
62678442074912406253135639578417547373032295596932760185025327623693360325589453770923938796959<95>
factorization results 素因数分解の結果
Number: 28883_167
N=40200803635172132619878290809551400226863431975204543229129709070472743443263344426800924623027279256511540239797176634645520875205127
  ( 134 digits)
SNFS difficulty: 168 digits.
Divisors found:
 r1=641381666556496229620462884848095705753 (pp39)
 r2=62678442074912406253135639578417547373032295596932760185025327623693360325589453770923938796959 (pp95)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 143.96 hours.
Scaled time: 145.25 units (timescale=1.009).
Factorization parameters were as follows:
name: 28883_167
n: 40200803635172132619878290809551400226863431975204543229129709070472743443263344426800924623027279256511540239797176634645520875205127
m: 1000000000000000000000000000000000
c5: 2600
c0: -53
skew: 0.46
type: snfs
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2750000, 8050001)
Primes: RFBsize:380800, AFBsize:380897, largePrimes:6325510 encountered
Relations: rels:6667158, finalFF:966762
Max relations in full relation-set: 28
Initial matrix: 761764 x 966762 with sparse part having weight 80074010.
Pruned matrix : 602881 x 606753 with weight 61848504.
Total sieving time: 139.97 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 3.75 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,48,48,2.6,2.6,100000
total time: 143.96 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 KamadaOctober 7, 2008 01:00:00 UTC 2008 年 10 月 7 日 (火) 10 時 0 分 0 秒 (日本時間)

26×10168-539

c161

name 名前Serge Batalov
date 日付October 7, 2008 09:31:40 UTC 2008 年 10 月 7 日 (火) 18 時 31 分 40 秒 (日本時間)
composite number 合成数
15530022275600939632529461092870233851021668229533444914512534459275239413257433001511291574270575147272978232457168719715601664717323337919510184626537431961621<161>
prime factors 素因数
1167093673337653327127830327069259661809<40>
13306577381392358475255309881615503665415368980360269644105388734553589493156498969747963330291726610161219478491166215269<122>
factorization results 素因数分解の結果
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=304196581
Step 1 took 18965ms
Step 2 took 14725ms
********** Factor found in step 2: 1167093673337653327127830327069259661809
Found probable prime factor of 40 digits: 1167093673337653327127830327069259661809
Probable prime cofactor 13306577381392358475255309881615503665415368980360269644105388734553589493156498969747963330291726610161219478491166215269 has 122 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 7, 2008 01:00:00 UTC 2008 年 10 月 7 日 (火) 10 時 0 分 0 秒 (日本時間)

26×10169-539

c103

name 名前Serge Batalov
date 日付October 7, 2008 06:32:13 UTC 2008 年 10 月 7 日 (火) 15 時 32 分 13 秒 (日本時間)
composite number 合成数
1183041904913862121789487507360511405235867357958253114254410674861473248732661747418446479164871080581<103>
prime factors 素因数
56575334809536652290971314862111609<35>
20910913013535396971131194830319308120739735863239243650630700492909<68>
factorization results 素因数分解の結果
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=67958517
Step 1 took 13433ms
Step 2 took 12543ms
********** Factor found in step 2: 56575334809536652290971314862111609
Found probable prime factor of 35 digits: 56575334809536652290971314862111609
Probable prime cofactor 20910913013535396971131194830319308120739735863239243650630700492909 has 68 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 KamadaOctober 7, 2008 01:00:00 UTC 2008 年 10 月 7 日 (火) 10 時 0 分 0 秒 (日本時間)

26×10170-539

c167

name 名前Serge Batalov
date 日付October 8, 2008 03:05:32 UTC 2008 年 10 月 8 日 (水) 12 時 5 分 32 秒 (日本時間)
composite number 合成数
39962496733834401561611410829836614869122823196692334885722629532285086303622754030832603249258388281766342355635480549023224358678778377215228785293801201948940225327<167>
prime factors 素因数
24035351007699908057581878367616649511683898296781394921019100136189478983771471809<83>
1662655008492786764992070871336132080310708411773454004559517256637120059624426981103<85>
factorization results 素因数分解の結果
SNFS difficulty: 171 digits.
Divisors found:
 r1=24035351007699908057581878367616649511683898296781394921019100136189478983771471809
 r2=1662655008492786764992070871336132080310708411773454004559517256637120059624426981103
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.738).
Factorization parameters were as follows:
n: 39962496733834401561611410829836614869122823196692334885722629532285086303622754030832603249258388281766342355635480549023224358678778377215228785293801201948940225327
Y1: 1
Y0: -10000000000000000000000000000000000
c5: 26
c0: -53
skew: 1.15
type: snfs
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved rational special-q in [3000000, 6200001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1134038 x 1134286
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,54,54,2.6,2.6,100000
total time: 30.00 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 KamadaOctober 7, 2008 01:00:00 UTC 2008 年 10 月 7 日 (火) 10 時 0 分 0 秒 (日本時間)

26×10171-539

c164

name 名前Sinkiti Sibata
date 日付October 17, 2008 22:18:52 UTC 2008 年 10 月 18 日 (土) 7 時 18 分 52 秒 (日本時間)
composite number 合成数
37189070247254379933093515608867117606170787003243257385914198810335088069575624062314246404907190505731062435395522633044302883104269186116325126035940349949980629<164>
prime factors 素因数
180794175688461612300191133500389304146671181730293708035199997373677168279<75>
205698386608080360118607066964350163888517864066216726017377451689667747458205138175489651<90>
factorization results 素因数分解の結果
Number: 28883_171
N=37189070247254379933093515608867117606170787003243257385914198810335088069575624062314246404907190505731062435395522633044302883104269186116325126035940349949980629
  ( 164 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=180794175688461612300191133500389304146671181730293708035199997373677168279 (pp75)
 r2=205698386608080360118607066964350163888517864066216726017377451689667747458205138175489651 (pp90)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 221.55 hours.
Scaled time: 223.54 units (timescale=1.009).
Factorization parameters were as follows:
name: 28883_171
n: 37189070247254379933093515608867117606170787003243257385914198810335088069575624062314246404907190505731062435395522633044302883104269186116325126035940349949980629
m: 10000000000000000000000000000000000
c5: 260
c0: -53
skew: 0.73
type: snfs
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [3000000, 11500001)
Primes: RFBsize:412849, AFBsize:413441, largePrimes:6524908 encountered
Relations: rels:6877907, finalFF:969004
Max relations in full relation-set: 28
Initial matrix: 826357 x 969004 with sparse part having weight 93418054.
Pruned matrix : 719756 x 723951 with weight 75272991.
Total sieving time: 215.51 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 5.74 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,48,48,2.6,2.6,100000
total time: 221.55 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 KamadaOctober 7, 2008 01:00:00 UTC 2008 年 10 月 7 日 (火) 10 時 0 分 0 秒 (日本時間)

26×10174-539

c168

name 名前Serge Batalov
date 日付October 7, 2008 05:32:51 UTC 2008 年 10 月 7 日 (火) 14 時 32 分 51 秒 (日本時間)
composite number 合成数
337116782011821933515410107297918359625006332284939039366799253400428908495341610094904986811667336945591516710314862017647311508574390309064646279114361539259148788683<168>
prime factors 素因数
2243086562866881513988079273467<31>
composite cofactor 合成数の残り
150291472292069767424055033263206434728976210392907193097679201540140532262561658836638110174056704378245409474091400576686840194702606449<138>
factorization results 素因数分解の結果
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=1153297637
Step 1 took 19225ms
********** Factor found in step 1: 2243086562866881513988079273467
Found probable prime factor of 31 digits: 2243086562866881513988079273467
Composite cofactor 150291472292069767424055033263206434728976210392907193097679201540140532262561658836638110174056704378245409474091400576686840194702606449 has 138 digits
software ソフトウェア
GMP-ECM 6.2.1

c138

name 名前Serge Batalov
date 日付October 7, 2008 13:59:29 UTC 2008 年 10 月 7 日 (火) 22 時 59 分 29 秒 (日本時間)
composite number 合成数
150291472292069767424055033263206434728976210392907193097679201540140532262561658836638110174056704378245409474091400576686840194702606449<138>
prime factors 素因数
9505588734014909843517432505768084428737<40>
15810853645946726698592400974520411575672816481225283858869417945537837498204945702733827218560177<98>
factorization results 素因数分解の結果
28883_174 =>

Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=481747367
Step 1 took 25522ms
Step 2 took 19983ms
********** Factor found in step 2: 9505588734014909843517432505768084428737
Found probable prime factor of 40 digits: 9505588734014909843517432505768084428737

...
I have already submitted one factor - and now the number is locked.
(( Factor found in step 2: 2243086562866881513988079273467 ))

Thanks,

Serge


      

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 7, 2008 01:00:00 UTC 2008 年 10 月 7 日 (火) 10 時 0 分 0 秒 (日本時間)

26×10175-539

c175

name 名前Robert Backstrom
date 日付October 19, 2008 09:04:21 UTC 2008 年 10 月 19 日 (日) 18 時 4 分 21 秒 (日本時間)
composite number 合成数
1520467836257309941520467836257309941520467836257309941520467836257309941520467836257309941520467836257309941520467836257309941520467836257309941520467836257309941520467836257<175>
prime factors 素因数
19864097753703704521827520997023829831149889<44>
1054510268817082005325406588880925137752766424226059<52>
72586788244848406664760136158312476684344733516938432662645506456827825620239107<80>
factorization results 素因数分解の結果
Number: n
N=1520467836257309941520467836257309941520467836257309941520467836257309941520467836257309941520467836257309941520467836257309941520467836257309941520467836257309941520467836257
  ( 175 digits)
SNFS difficulty: 176 digits.
Divisors found:

Sun Oct 19 19:49:27 2008  prp44 factor: 19864097753703704521827520997023829831149889
Sun Oct 19 19:49:28 2008  prp52 factor: 1054510268817082005325406588880925137752766424226059
Sun Oct 19 19:49:28 2008  prp80 factor: 72586788244848406664760136158312476684344733516938432662645506456827825620239107
Sun Oct 19 19:49:28 2008  elapsed time 03:39:37 (Msieve 1.38)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 28.77 hours.
Scaled time: 58.83 units (timescale=2.045).
Factorization parameters were as follows:
name: KA_2_8_174_3
n: 1520467836257309941520467836257309941520467836257309941520467836257309941520467836257309941520467836257309941520467836257309941520467836257309941520467836257309941520467836257
type: snfs
skew: 1.15
deg: 5
c5: 26
c0: -53
m: 100000000000000000000000000000000000
rlim: 7500000
alim: 7500000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 7500000/7500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 5400001)
Primes: RFBsize:508261, AFBsize:507306, largePrimes:15130815 encountered
Relations: rels:15517541, finalFF:1644503
Max relations in full relation-set: 28
Initial matrix: 1015633 x 1644502 with sparse part having weight 201628258.
Pruned matrix : 
Total sieving time: 28.36 hours.
Total relation processing time: 0.41 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,7500000,7500000,28,28,52,52,2.5,2.5,100000
total time: 28.77 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 KamadaOctober 7, 2008 01:00:00 UTC 2008 年 10 月 7 日 (火) 10 時 0 分 0 秒 (日本時間)

26×10177-539

c167

name 名前Wataru Sakai
date 日付January 8, 2012 03:20:56 UTC 2012 年 1 月 8 日 (日) 12 時 20 分 56 秒 (日本時間)
composite number 合成数
29665636290200127180419455649077028137317077653434486786563531247392500354339170270590635270926830558664486084938703472981276936422361143743720359062755213250434458931<167>
prime factors 素因数
346862580444879277150908652639967039<36>
composite cofactor 合成数の残り
85525617240555474172382173819100667815843948240522494414682873354596437651792766093125377614385290384434050332733282900088969513229<131>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4242469622
Step 1 took 22271ms
Step 2 took 9043ms
********** Factor found in step 2: 346862580444879277150908652639967039
Found probable prime factor of 36 digits: 346862580444879277150908652639967039
Composite cofactor 85525617240555474172382173819100667815843948240522494414682873354596437651792766093125377614385290384434050332733282900088969513229 has 131 digits
software ソフトウェア
GMP-ECM 6.3

c131

name 名前Warut Roonguthai
date 日付March 24, 2012 04:37:02 UTC 2012 年 3 月 24 日 (土) 13 時 37 分 2 秒 (日本時間)
composite number 合成数
85525617240555474172382173819100667815843948240522494414682873354596437651792766093125377614385290384434050332733282900088969513229<131>
prime factors 素因数
423620523367189045420004683647513020131665408847<48>
201892053200696614691006324545970203799153294107874994064293439714560039852942087907<84>
factorization results 素因数分解の結果
N = 85525617240555474172382173819100667815843948240522494414682873354596437651792766093125377614385290384434050332733282900088969513229 (131 digits)
SNFS difficulty: 179 digits.
Divisors found:
r1=423620523367189045420004683647513020131665408847 (pp48)
r2=201892053200696614691006324545970203799153294107874994064293439714560039852942087907 (pp84)
Version: Msieve v. 1.48
Total time: 45.98 hours.
Factorization parameters were as follows:
name: (26*10^177-53)/9
n: 85525617240555474172382173819100667815843948240522494414682873354596437651792766093125377614385290384434050332733282900088969513229
Y0: 100000000000000000000000000000000000
Y1: -1
c0: -53
c1: 0
c2: 0
c3: 0
c4: 0
c5: 2600
skew: 0.46
type: snfs
Factor base limits: 6700000/6700000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 21447236
Relations: 2639328 relations
Pruned matrix : 1530363 x 1530587
Polynomial selection time: 0.00 hours.
Total sieving time: 42.52 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 3.09 hours.
time per square root: 0.24 hours.
Prototype def-par.txt line would be: snfs,179,5,0,0,0,0,0,0,0,0,6700000,6700000,28,28,55,55,2.5,2.5,100000
total time: 45.98 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 7, 2008 01:00:00 UTC 2008 年 10 月 7 日 (火) 10 時 0 分 0 秒 (日本時間)
351e6200Rich DickersonNovember 22, 2010 23:35:40 UTC 2010 年 11 月 23 日 (火) 8 時 35 分 40 秒 (日本時間)
403e62282250Rich DickersonNovember 23, 2010 05:14:39 UTC 2010 年 11 月 23 日 (火) 14 時 14 分 39 秒 (日本時間)
300Dmitry DomanovMay 6, 2011 06:41:36 UTC 2011 年 5 月 6 日 (金) 15 時 41 分 36 秒 (日本時間)
1732Wataru SakaiJanuary 8, 2012 03:20:33 UTC 2012 年 1 月 8 日 (日) 12 時 20 分 33 秒 (日本時間)

26×10178-539

c155

name 名前Dmitry Domanov
date 日付May 21, 2013 05:40:06 UTC 2013 年 5 月 21 日 (火) 14 時 40 分 6 秒 (日本時間)
composite number 合成数
66238711276787172076859001161717075446741682486046921910674229953224293365313158970915686659219231930169299240157041755147286355281124386829398062953310277<155>
prime factors 素因数
181442170201746685666090130449504837290594058667<48>
365067895755082371783678724995370730577088272638074903294768377394455427788813827300300079109146079247674831<108>
factorization results 素因数分解の結果
N=66238711276787172076859001161717075446741682486046921910674229953224293365313158970915686659219231930169299240157041755147286355281124386829398062953310277
  ( 155 digits)
SNFS difficulty: 179 digits.
Divisors found:
 r1=181442170201746685666090130449504837290594058667 (pp48)
 r2=365067895755082371783678724995370730577088272638074903294768377394455427788813827300300079109146079247674831 (pp108)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 119.78 hours.
Scaled time: 230.21 units (timescale=1.922).
Factorization parameters were as follows:
n: 66238711276787172076859001161717075446741682486046921910674229953224293365313158970915686659219231930169299240157041755147286355281124386829398062953310277
m: 100000000000000000000000000000000000
deg: 5
c5: 26000
c0: -53
skew: 0.29
# Murphy_E = 8.114e-11
type: snfs
lss: 1
rlim: 6800000
alim: 6800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3400000, 9800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1522193 x 1522419
Total sieving time: 116.97 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 2.26 hours.
Time per square root: 0.34 hours.
Prototype def-par.txt line would be:
snfs,179.000,5,0,0,0,0,0,0,0,0,6800000,6800000,28,28,53,53,2.5,2.5,100000
total time: 119.78 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 KamadaOctober 7, 2008 01:00:00 UTC 2008 年 10 月 7 日 (火) 10 時 0 分 0 秒 (日本時間)
351e6200Rich DickersonNovember 22, 2010 23:35:26 UTC 2010 年 11 月 23 日 (火) 8 時 35 分 26 秒 (日本時間)
403e62282250Rich DickersonNovember 23, 2010 05:14:34 UTC 2010 年 11 月 23 日 (火) 14 時 14 分 34 秒 (日本時間)
300Dmitry DomanovMay 6, 2011 06:41:46 UTC 2011 年 5 月 6 日 (金) 15 時 41 分 46 秒 (日本時間)
1732Wataru SakaiMarch 23, 2012 00:58:57 UTC 2012 年 3 月 23 日 (金) 9 時 58 分 57 秒 (日本時間)

26×10179-539

c139

name 名前Dmitry Domanov
date 日付May 21, 2013 09:11:32 UTC 2013 年 5 月 21 日 (火) 18 時 11 分 32 秒 (日本時間)
composite number 合成数
8291006061330743039924625531649382754148736470653491380299371836771431816852346312376315702282188263192345930828934730937032424077656778851<139>
prime factors 素因数
3694151360312180723018719885828163760695931611624502557577497707921<67>
2244360139220201596977463363963440775110994946044220368469156959664817331<73>
factorization results 素因数分解の結果
N=8291006061330743039924625531649382754148736470653491380299371836771431816852346312376315702282188263192345930828934730937032424077656778851
  ( 139 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=3694151360312180723018719885828163760695931611624502557577497707921 (pp67)
 r2=2244360139220201596977463363963440775110994946044220368469156959664817331 (pp73)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 115.78 hours.
Scaled time: 222.77 units (timescale=1.924).
Factorization parameters were as follows:
n: 8291006061330743039924625531649382754148736470653491380299371836771431816852346312376315702282188263192345930828934730937032424077656778851
m: 1000000000000000000000000000000000000
deg: 5
c5: 13
c0: -265
skew: 1.83
# Murphy_E = 8.842e-11
type: snfs
lss: 1
rlim: 7300000
alim: 7300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7300000/7300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3650000, 9650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1359046 x 1359283
Total sieving time: 113.33 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 2.17 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,181.000,5,0,0,0,0,0,0,0,0,7300000,7300000,28,28,53,53,2.5,2.5,100000
total time: 115.78 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 KamadaOctober 7, 2008 01:00:00 UTC 2008 年 10 月 7 日 (火) 10 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovMay 6, 2011 06:41:53 UTC 2011 年 5 月 6 日 (金) 15 時 41 分 53 秒 (日本時間)
4511e6600 / 4413Rich DickersonMay 21, 2012 21:10:14 UTC 2012 年 5 月 22 日 (火) 6 時 10 分 14 秒 (日本時間)

26×10182-539

c147

name 名前Dmitry Domanov
date 日付June 7, 2013 14:48:10 UTC 2013 年 6 月 7 日 (金) 23 時 48 分 10 秒 (日本時間)
composite number 合成数
294238242274977247067112883118016044026822215221819221740521932393082834655205049159314664187314526378760616126914988167318158365330543131928204567<147>
prime factors 素因数
1095801874200976694559259668059942398362699121733538025643800147<64>
268514089273233140101737518558727987871662202083943332083165446571301830246608274861<84>
factorization results 素因数分解の結果
N=294238242274977247067112883118016044026822215221819221740521932393082834655205049159314664187314526378760616126914988167318158365330543131928204567
  ( 147 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=1095801874200976694559259668059942398362699121733538025643800147 (pp64)
 r2=268514089273233140101737518558727987871662202083943332083165446571301830246608274861 (pp84)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 170.44 hours.
Scaled time: 327.93 units (timescale=1.924).
Factorization parameters were as follows:
n: 294238242274977247067112883118016044026822215221819221740521932393082834655205049159314664187314526378760616126914988167318158365330543131928204567
m: 1000000000000000000000000000000000000
deg: 5
c5: 2600
c0: -53
skew: 0.46
# Murphy_E = 5.95e-11
type: snfs
lss: 1
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
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, 12800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1620119 x 1620347
Total sieving time: 167.41 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 2.60 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
snfs,183.000,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,53,53,2.5,2.5,100000
total time: 170.44 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 7, 2008 01:00:00 UTC 2008 年 10 月 7 日 (火) 10 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Dmitry DomanovMay 6, 2011 06:42:06 UTC 2011 年 5 月 6 日 (金) 15 時 42 分 6 秒 (日本時間)

26×10183-539

c174

name 名前Dmitry Domanov
date 日付May 5, 2011 08:43:13 UTC 2011 年 5 月 5 日 (木) 17 時 43 分 13 秒 (日本時間)
composite number 合成数
694305428642097671250448862084023997363662683995311712954267555210800438103937569827083059153287864972928024727893355495186622495426355985691537210066134647489269133273442029<174>
prime factors 素因数
727393981955118375455694762027167<33>
954510823386132534224267076999378204081264448719514571031860968958789346547856870659196008785405121179513067389851384456773239692755612985587<141>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1138828095
Step 1 took 71105ms
Step 2 took 26386ms
********** Factor found in step 2: 727393981955118375455694762027167
Found probable prime factor of 33 digits: 727393981955118375455694762027167
Probable prime cofactor 954510823386132534224267076999378204081264448719514571031860968958789346547856870659196008785405121179513067389851384456773239692755612985587 has 141 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 7, 2008 01:00:00 UTC 2008 年 10 月 7 日 (火) 10 時 0 分 0 秒 (日本時間)

26×10184-539

c155

name 名前Dmitry Domanov
date 日付June 10, 2013 16:18:32 UTC 2013 年 6 月 11 日 (火) 1 時 18 分 32 秒 (日本時間)
composite number 合成数
13540141533436495930054518792957220741496306496111028306916349658565699168165753521566894761605766595350111174577384702132883618168764458314470977124293077<155>
prime factors 素因数
829258161363959762983675326509364008024210113<45>
16328017213801956969737663823944089470278335111306801934289820892342358845735041784399722587336432332455364629<110>
factorization results 素因数分解の結果
N=13540141533436495930054518792957220741496306496111028306916349658565699168165753521566894761605766595350111174577384702132883618168764458314470977124293077
  ( 155 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=829258161363959762983675326509364008024210113 (pp45)
 r2=16328017213801956969737663823944089470278335111306801934289820892342358845735041784399722587336432332455364629 (pp110)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 171.17 hours.
Scaled time: 329.17 units (timescale=1.923).
Factorization parameters were as follows:
n: 13540141533436495930054518792957220741496306496111028306916349658565699168165753521566894761605766595350111174577384702132883618168764458314470977124293077
m: 10000000000000000000000000000000000000
deg: 5
c5: 13
c0: -265
skew: 1.83
# Murphy_E = 5.544e-11
type: snfs
lss: 1
rlim: 8900000
alim: 8900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 8900000/8900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4450000, 12850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1965119 x 1965345
Total sieving time: 166.90 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 3.93 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,186.000,5,0,0,0,0,0,0,0,0,8900000,8900000,28,28,54,54,2.5,2.5,100000
total time: 171.17 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 KamadaOctober 7, 2008 01:00:00 UTC 2008 年 10 月 7 日 (火) 10 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Dmitry DomanovMay 6, 2011 06:42:14 UTC 2011 年 5 月 6 日 (金) 15 時 42 分 14 秒 (日本時間)

26×10185-539

c185

name 名前Robert Backstrom
date 日付October 12, 2008 11:26:31 UTC 2008 年 10 月 12 日 (日) 20 時 26 分 31 秒 (日本時間)
composite number 合成数
41269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269<185>
prime factors 素因数
11967880220222771535977473028528815286409995203134321966881379578399<68>
3448383549168999632700369166622141002514388314197364283079763510370070630825743226204284898075719770357515051628529131<118>
factorization results 素因数分解の結果
Number: n
N=41269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269
  ( 185 digits)
SNFS difficulty: 186 digits.
Divisors found:

Sun Oct 12 22:19:14 2008  prp68 factor: 11967880220222771535977473028528815286409995203134321966881379578399
Sun Oct 12 22:19:14 2008  prp118 factor: 3448383549168999632700369166622141002514388314197364283079763510370070630825743226204284898075719770357515051628529131
Sun Oct 12 22:19:14 2008  elapsed time 16:31:56 (Msieve 1.38)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 64.71 hours.
Scaled time: 84.58 units (timescale=1.307).
Factorization parameters were as follows:
name: KA_2_8_184_3
n: 41269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269
type: snfs
skew: 1.15
deg: 5
c5: 26
c0: -53
m: 10000000000000000000000000000000000000
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 6100001)
Primes: RFBsize:602489, AFBsize:601295, largePrimes:14538080 encountered
Relations: rels:14376374, finalFF:1255184
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 64.04 hours.
Total relation processing time: 0.67 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,52,52,2.5,2.5,100000
total time: 64.71 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 KamadaOctober 7, 2008 01:00:00 UTC 2008 年 10 月 7 日 (火) 10 時 0 分 0 秒 (日本時間)

26×10187-539

c170

name 名前Kenji Ibusuki
date 日付March 17, 2018 14:26:35 UTC 2018 年 3 月 17 日 (土) 23 時 26 分 35 秒 (日本時間)
composite number 合成数
99273830275633546850713178847832451586306309492838519027043054712108929054657483577588450859218406886955032173489514215281253263954457931224530236653835138021837202964561<170>
prime factors 素因数
4405806571350986248725535064223823448621220686149401293388821506217652569<73>
22532498571582195250818256341215174676422219155535062603765144586285580133719085617908490106531769<98>
factorization results 素因数分解の結果
Number: 28883_187
N=99273830275633546850713178847832451586306309492838519027043054712108929054657483577588450859218406886955032173489514215281253263954457931224530236653835138021837202964561
  ( 170 digits)
SNFS difficulty: 188 digits.
Divisors found: (Total dependency: 2)
 r1=4405806571350986248725535064223823448621220686149401293388821506217652569 (pp73)
 r2=22532498571582195250818256341215174676422219155535062603765144586285580133719085617908490106531769 (pp98)
Msieve version: Msieve v. 1.49 (SVN unknown)
GGNFS version: GGNFS-0.77.1-VC8(UTE)
Total time: 339.70 hours (17.32 calendar hours).
Scaled time: 1533.75 units (timescale=4.515).
Factorization parameters were as follows:
n: 99273830275633546850713178847832451586306309492838519027043054712108929054657483577588450859218406886955032173489514215281253263954457931224530236653835138021837202964561
m: 10000000000000000000000000000000000000
deg: 5
c5: 2600
c0: -53
skew: 0.46
# Murphy_E = 3.726e-11
type: snfs
lss: 1
rlim: 9700000
alim: 9700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
relslim: 27700000
qintsize: 5000

Polynomial score was as follows:
skew 0.46, size 2.566e-013, alpha 0.409, combined = 3.726e-011 rroots = 1
Factor base limits: 9700000/9700000
Large primes per side: 3
Large prime bits: 28/28
Sieved special-q in [4850000, 23830001)
Relations: raw-rels:27877377 rels:23881619, finalFF:1679261
Pruned matrix : 1678576 x 1678801
Total sieving time: 327.74 hours (15.40 calendar hours).
Total relation processing time: 0.11 hours.
Total matrix build processing time: 0.03 hours.
Matrix pruned processing time: (N/A)
Matrix solve time: 11.72 hours (1.67 calendar hours).
Total time of square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,9700000,9700000,28,28,54,54,2.5,2.5,100000
total time: 339.70 hours (17.32 calendar hours).
 --------- CPU info (if available) ----------
software ソフトウェア
Msieve v. 1.49 (SVN unknown) + GGNFS-0.77.1-VC8 with 
factMsieve.pl (decomposed + modified) snfs
(without procrels.exe, matbuild.exe for "finalFF" calculation)
execution environment 実行環境
[Envilonment]
  PC #1   (Master) --- Intel Core i7 2600, 16GB RAM, Windows 7 64bit
  PC #2,3 (Slave)  --- Intel Core i7 4770, 16GB RAM, Windows 7 64bit
  PC #4   (Slave)  --- Intel Core 2 Quad Q6600, 4GB RAM, Windows Vista 32bit

[Threads used]
  (Sieving)
    PC #1   --- 7 threads used
    PC #2,3 --- 7 threads used x 2
    PC #4   --- 4 threads used
  (Relation processing and Matrix build processing)
    PC #1   --- 1 thread used
  (Matrix solve)
    PC #1   --- 7 threads used
  (Square root processing)
    PC #1   --- 1 thread used

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 7, 2008 01:00:00 UTC 2008 年 10 月 7 日 (火) 10 時 0 分 0 秒 (日本時間)
351e60--
403e61600300Dmitry DomanovMay 6, 2011 06:42:21 UTC 2011 年 5 月 6 日 (金) 15 時 42 分 21 秒 (日本時間)
1000Dmitry DomanovJune 15, 2013 08:26:39 UTC 2013 年 6 月 15 日 (土) 17 時 26 分 39 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:40:13 UTC 2014 年 1 月 9 日 (木) 13 時 40 分 13 秒 (日本時間)
4511e6900 / 4125600Rich DickersonApril 23, 2014 04:10:59 UTC 2014 年 4 月 23 日 (水) 13 時 10 分 59 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:37 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 37 秒 (日本時間)

26×10188-539

c173

name 名前Dmitry Domanov
date 日付May 7, 2013 05:17:06 UTC 2013 年 5 月 7 日 (火) 14 時 17 分 6 秒 (日本時間)
composite number 合成数
13997732033637023415492961765800294539338042171005087721368238552167446101889199450951936996562834605081015815588589910242953149256650642928655322421084560732092003832254989<173>
prime factors 素因数
242454230536999579574248898107253798373127<42>
composite cofactor 合成数の残り
57733502948718018261354841767723427867172770305995157602310194890246795713407805623527748673152399867245595657099889948217692415307<131>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1265340291
Step 1 took 26092ms
Step 2 took 10321ms
********** Factor found in step 2: 242454230536999579574248898107253798373127
Found probable prime factor of 42 digits: 242454230536999579574248898107253798373127

c131

name 名前Erik Branger
date 日付June 16, 2013 19:27:47 UTC 2013 年 6 月 17 日 (月) 4 時 27 分 47 秒 (日本時間)
composite number 合成数
57733502948718018261354841767723427867172770305995157602310194890246795713407805623527748673152399867245595657099889948217692415307<131>
prime factors 素因数
73952651541143383855877329528338599906295195498044099699681<59>
780681986995396907452793539483572410186061343662364583049027014047346347<72>
factorization results 素因数分解の結果
Number: 28883_188
N = 57733502948718018261354841767723427867172770305995157602310194890246795713407805623527748673152399867245595657099889948217692415307 (131 digits)
Divisors found:
r1=73952651541143383855877329528338599906295195498044099699681 (pp59)
r2=780681986995396907452793539483572410186061343662364583049027014047346347 (pp72)
Version: Msieve v. 1.51 (SVN 845)
Total time: 69.75 hours.
Factorization parameters were as follows:
28883_188.poly
# Murphy_E = 7.282e-11, selected by Erik Branger
n: 57733502948718018261354841767723427867172770305995157602310194890246795713407805623527748673152399867245595657099889948217692415307
Y0: -27625827541667775672369895
Y1: 80525340293381
c0: -207406380400492720503099817021248
c1: -1284583195939190072105951616
c2: 1116208582828837577434
c3: -2078043034603325
c4: -2854663424
c5: 3588
skew: 822739.17
type: gnfs
# selected mechanically
rlim: 10300000
alim: 10300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6

Factor base limits: 10300000/10300000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 19071830
Relations: 2742590 relations
Pruned matrix : 1566906 x 1567134
Polynomial selection time: 0.00 hours.
Total sieving time: 67.73 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.71 hours.
time per square root: 0.19 hours.
Prototype def-par.txt line would be: gnfs,130,5,65,2000,1e-05,0.28,250,20,50000,3600,10300000,10300000,28,28,54,54,2.6,2.6,100000
total time: 69.75 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 7, 2008 01:00:00 UTC 2008 年 10 月 7 日 (火) 10 時 0 分 0 秒 (日本時間)
351e60--
403e62500300Dmitry DomanovMay 6, 2011 06:42:34 UTC 2011 年 5 月 6 日 (金) 15 時 42 分 34 秒 (日本時間)
2200Erik BrangerJune 7, 2013 06:45:27 UTC 2013 年 6 月 7 日 (金) 15 時 45 分 27 秒 (日本時間)

26×10190-539

c170

composite cofactor 合成数の残り
49550037766442214391901730618439443529185227961028611095322721349401587781257562883991773927228396385842616092883138162498193736897067152222544221567551507340715466751753<170>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 7, 2008 01:00:00 UTC 2008 年 10 月 7 日 (火) 10 時 0 分 0 秒 (日本時間)
351e60--
403e62900300Dmitry DomanovMay 6, 2011 06:42:41 UTC 2011 年 5 月 6 日 (金) 15 時 42 分 41 秒 (日本時間)
1000Dmitry DomanovJune 15, 2013 08:26:48 UTC 2013 年 6 月 15 日 (土) 17 時 26 分 48 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:40:14 UTC 2014 年 1 月 9 日 (木) 13 時 40 分 14 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:53 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 53 秒 (日本時間)

26×10191-539

c174

composite cofactor 合成数の残り
961297083557646051325455176597558974350282151086900200491921693067738785445310865360213681004798810645073332376600787108714455841563581077976447543859977423024751149596284649<174>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 7, 2008 01:00:00 UTC 2008 年 10 月 7 日 (火) 10 時 0 分 0 秒 (日本時間)
351e60--
403e61300300Dmitry DomanovMay 6, 2011 06:42:51 UTC 2011 年 5 月 6 日 (金) 15 時 42 分 51 秒 (日本時間)
1000Dmitry DomanovJune 15, 2013 08:26:56 UTC 2013 年 6 月 15 日 (土) 17 時 26 分 56 秒 (日本時間)
4511e61100 / 4192800Dmitry DomanovJune 29, 2013 23:46:43 UTC 2013 年 6 月 30 日 (日) 8 時 46 分 43 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:37 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 37 秒 (日本時間)

26×10192-539

c182

name 名前Robert Backstrom
date 日付March 22, 2012 07:32:05 UTC 2012 年 3 月 22 日 (木) 16 時 32 分 5 秒 (日本時間)
composite number 合成数
90137648586510939544905917486115526125509009733984476872176928261990800383561750062977770133468667169323819427431177784009977311665927174849540942030734852154000984417451771433535129<182>
prime factors 素因数
233948408030972261370023921501248280422579230481195601<54>
107364190578448740457889688379508213740943833119862916279073581<63>
3588613412062468961426599934006354849570911105274260802160756090509<67>
factorization results 素因数分解の結果
Number: n
N=90137648586510939544905917486115526125509009733984476872176928261990800383561750062977770133468667169323819427431177784009977311665927174849540942030734852154000984417451771433535129
  ( 182 digits)
SNFS difficulty: 193 digits.
Divisors found:

Thu Mar 22 18:28:49 2012  prp54 factor: 233948408030972261370023921501248280422579230481195601
Thu Mar 22 18:28:49 2012  prp63 factor: 107364190578448740457889688379508213740943833119862916279073581
Thu Mar 22 18:28:49 2012  prp67 factor: 3588613412062468961426599934006354849570911105274260802160756090509
Thu Mar 22 18:28:49 2012  elapsed time 05:06:18 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.640).
Factorization parameters were as follows:
name: KA_28883_192
n: 90137648586510939544905917486115526125509009733984476872176928261990800383561750062977770133468667169323819427431177784009977311665927174849540942030734852154000984417451771433535129
m: 100000000000000000000000000000000000000
#  c182, diff: 193.41
skew: 0.46
deg: 5
c5: 2600
c0: -53
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 17200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8657161 hash collisions in 77298924 relations (70905189 unique)
Msieve: matrix is 1593285 x 1593511 (449.6 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,193,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.73 BogoMIPS (lpj=2797867)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.12 BogoMIPS (lpj=2797563)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.09 BogoMIPS (lpj=2797547)
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.. 5595.10 BogoMIPS (lpj=2797553)
Total of 8 processors activated (44761.49 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 7, 2008 01:00:00 UTC 2008 年 10 月 7 日 (火) 10 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Dmitry DomanovMay 6, 2011 06:42:59 UTC 2011 年 5 月 6 日 (金) 15 時 42 分 59 秒 (日本時間)

26×10194-539

c191

name 名前matsui
date 日付November 4, 2008 15:26:25 UTC 2008 年 11 月 5 日 (水) 0 時 26 分 25 秒 (日本時間)
composite number 合成数
31465950211184935071221968074162824190054339275557007830180687167943458107928209224364327294291350494378486971886383715160536857519756986046061310193757639569642619419332195718210313570296143<191>
prime factors 素因数
33131310762757534463314113982209864083<38>
composite cofactor 合成数の残り
949734540734059667011737519492193550057699281014965411093905490630203178374931330861533970341294050228827482597677330651031537089155308322620878537348821<153>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]

31465950211184935071221968074162824190054339275557007830180687167943458107928209224364327294291350494378486971886383715160536857519756986046061310193757639569642619419332195718210313570296143
=
33131310762757534463314113982209864083* 949734540734059667011737519492193550057699281014965411093905490630203178374931330861533970341294050228827482597677330651031537089155308322620878537348821

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 7, 2008 01:00:00 UTC 2008 年 10 月 7 日 (火) 10 時 0 分 0 秒 (日本時間)
351e60--
403e61300300Dmitry DomanovMay 6, 2011 06:43:06 UTC 2011 年 5 月 6 日 (金) 15 時 43 分 6 秒 (日本時間)
1000Dmitry DomanovJune 15, 2013 08:33:42 UTC 2013 年 6 月 15 日 (土) 17 時 33 分 42 秒 (日本時間)
4511e61100 / 4192800Dmitry DomanovJune 27, 2013 23:09:30 UTC 2013 年 6 月 28 日 (金) 8 時 9 分 30 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:38 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 38 秒 (日本時間)

26×10197-539

c128

name 名前Serge Batalov
date 日付October 7, 2008 02:44:23 UTC 2008 年 10 月 7 日 (火) 11 時 44 分 23 秒 (日本時間)
composite number 合成数
29105431994641667184200620635167144303179709037950898249158273030780456979702138578819245383772622270014672719773691759777188389<128>
prime factors 素因数
75596565104432146039405528529<29>
385009979678762504086786747134199125917805790129411664760128132679332492042940092757602857005240341<99>
factorization results 素因数分解の結果
Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=3961827852
Step 1 took 4420ms
Step 2 took 3764ms
********** Factor found in step 2: 75596565104432146039405528529
Found probable prime factor of 29 digits: 75596565104432146039405528529
Probable prime cofactor 385009979678762504086786747134199125917805790129411664760128132679332492042940092757602857005240341 has 99 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 KamadaOctober 7, 2008 01:00:00 UTC 2008 年 10 月 7 日 (火) 10 時 0 分 0 秒 (日本時間)

26×10199-539

c193

name 名前Robert Backstrom
date 日付October 26, 2010 04:20:39 UTC 2010 年 10 月 26 日 (火) 13 時 20 分 39 秒 (日本時間)
composite number 合成数
1582345108603982661611706982720383655881907539668129039586324840442861636804193331387900881731990650214878509885649335490215778985971299509623339118082753253223947520039503123917443919148469987<193>
prime factors 素因数
99702319614580169855411929984280159751927071464169353<53>
112879180833728107731930758513538191485513904518507517567<57>
140598956467960922663752484626699497444761638897555138382562440204673333874313016437<84>
factorization results 素因数分解の結果
Number: n
N=1582345108603982661611706982720383655881907539668129039586324840442861636804193331387900881731990650214878509885649335490215778985971299509623339118082753253223947520039503123917443919148469987
  ( 193 digits)
SNFS difficulty: 200 digits.
Divisors found:

Tue Oct 26 14:36:02 2010  prp53 factor: 99702319614580169855411929984280159751927071464169353
Tue Oct 26 14:36:02 2010  prp57 factor: 112879180833728107731930758513538191485513904518507517567
Tue Oct 26 14:36:02 2010  prp84 factor: 140598956467960922663752484626699497444761638897555138382562440204673333874313016437
Tue Oct 26 14:36:02 2010  elapsed time 09:03:15 (Msieve 1.44 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.084).
Factorization parameters were as follows:
name: KA_2_8_198_3
n: 1582345108603982661611706982720383655881907539668129039586324840442861636804193331387900881731990650214878509885649335490215778985971299509623339118082753253223947520039503123917443919148469987
m: 2000000000000000000000000000000000000000
deg: 5
c5: 8125
c0: -53
skew: 0.37
type: snfs
lss: 1
rlim: 15300000
alim: 15300000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 15300000/15300000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 21950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 6335511 hash collisions in 49045033 relations
Msieve: matrix is 2286084 x 2286309 (650.2 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,200,5,0,0,0,0,0,0,0,0,15300000,15300000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5660.65 BogoMIPS (lpj=2830329)
Calibrating delay using timer specific routine.. 5660.90 BogoMIPS (lpj=2830450)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830461)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Total of 4 processors activated (22643.40 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 7, 2008 01:00:00 UTC 2008 年 10 月 7 日 (火) 10 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosJune 21, 2010 21:51:27 UTC 2010 年 6 月 22 日 (火) 6 時 51 分 27 秒 (日本時間)
403e62144110Ignacio SantosJune 21, 2010 21:51:27 UTC 2010 年 6 月 22 日 (火) 6 時 51 分 27 秒 (日本時間)
2034Wataru SakaiJune 26, 2010 07:00:30 UTC 2010 年 6 月 26 日 (土) 16 時 0 分 30 秒 (日本時間)
4511e632 / 3991Ignacio SantosJune 21, 2010 21:51:27 UTC 2010 年 6 月 22 日 (火) 6 時 51 分 27 秒 (日本時間)

26×10200-539

c198

name 名前Robert Backstrom
date 日付April 21, 2010 14:34:47 UTC 2010 年 4 月 21 日 (水) 23 時 34 分 47 秒 (日本時間)
composite number 合成数
128795759647297765888938425719522464952692326744934859067716847476098479219299549214841234457819388715509981671372665576856392727993262991033833655322732451577748055679397632139495715064150195670481<198>
prime factors 素因数
1122891043063499300397046028860259110510362089603833836841519<61>
114700139824709944947549097588800537244671592745208301914546443009726570234479963997583593042030271231169869530665744108323843803528447999<138>
factorization results 素因数分解の結果
Number: n
N=128795759647297765888938425719522464952692326744934859067716847476098479219299549214841234457819388715509981671372665576856392727993262991033833655322732451577748055679397632139495715064150195670481
  ( 198 digits)
SNFS difficulty: 201 digits.
Divisors found:

Thu Apr 22 00:26:15 2010  prp61 factor: 1122891043063499300397046028860259110510362089603833836841519
Thu Apr 22 00:26:15 2010  prp138 factor: 114700139824709944947549097588800537244671592745208301914546443009726570234479963997583593042030271231169869530665744108323843803528447999
Thu Apr 22 00:26:15 2010  elapsed time 08:34:36 (Msieve 1.42 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.660).
Factorization parameters were as follows:
name: KA_2_8_199_3
n: 128795759647297765888938425719522464952692326744934859067716847476098479219299549214841234457819388715509981671372665576856392727993262991033833655322732451577748055679397632139495715064150195670481
m: 10000000000000000000000000000000000000000
deg: 5
c5: 26
c0: -53
skew: 1.15
type: snfs
lss: 1
rlim: 15900000
alim: 15900000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 15900000/15900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 20250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4792950 hash collisions in 32427397 relations
Msieve: matrix is 2254122 x 2254347 (639.4 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,15900000,15900000,28,28,56,56,2.6,2.6,100000
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 KamadaOctober 7, 2008 01:00:00 UTC 2008 年 10 月 7 日 (火) 10 時 0 分 0 秒 (日本時間)
351e60--
403e6300Serge BatalovDecember 2, 2008 03:25:57 UTC 2008 年 12 月 2 日 (火) 12 時 25 分 57 秒 (日本時間)
4511e6810 / 4413Dmitry DomanovMarch 27, 2010 09:55:33 UTC 2010 年 3 月 27 日 (土) 18 時 55 分 33 秒 (日本時間)

26×10201-539

c161

composite cofactor 合成数の残り
20846560570197994927010282956282109907418741830075825379278085912859705875807082383054292873833339229475796070324037968702364057868688580711344882865300560724349<161>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 7, 2008 01:00:00 UTC 2008 年 10 月 7 日 (火) 10 時 0 分 0 秒 (日本時間)
351e60--
403e61300300Dmitry DomanovMay 6, 2011 06:43:15 UTC 2011 年 5 月 6 日 (金) 15 時 43 分 15 秒 (日本時間)
1000Dmitry DomanovJune 15, 2013 12:16:19 UTC 2013 年 6 月 15 日 (土) 21 時 16 分 19 秒 (日本時間)
4511e61800 / 41921500Dmitry DomanovJune 21, 2013 12:05:31 UTC 2013 年 6 月 21 日 (金) 21 時 5 分 31 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:38 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 38 秒 (日本時間)

26×10203-539

c156

composite cofactor 合成数の残り
508112410878724458819201544533070041390882152660840061136667856515782978885306789874539070580617759669694177947668079410552719566157131561189498225422194703<156>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 7, 2008 01:00:00 UTC 2008 年 10 月 7 日 (火) 10 時 0 分 0 秒 (日本時間)
351e60--
403e61300300Dmitry DomanovMay 6, 2011 06:43:23 UTC 2011 年 5 月 6 日 (金) 15 時 43 分 23 秒 (日本時間)
1000Dmitry DomanovJune 15, 2013 12:16:28 UTC 2013 年 6 月 15 日 (土) 21 時 16 分 28 秒 (日本時間)
4511e61300 / 41921000Dmitry DomanovJune 18, 2013 12:49:59 UTC 2013 年 6 月 18 日 (火) 21 時 49 分 59 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:39 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 39 秒 (日本時間)

26×10204-539

c167

name 名前Serge Batalov
date 日付October 7, 2008 07:20:03 UTC 2008 年 10 月 7 日 (火) 16 時 20 分 3 秒 (日本時間)
composite number 合成数
25619444159230343883785342090787602816700698806439740551268683726332258328895980083430101322240089835834200899053372490231442263176871366977042396994345964234551023331<167>
prime factors 素因数
694430743408346543317934266065283<33>
36892727464062353803746935998125110790437863065618259953712823593194923501179666721819922557179370336183877369556062715328482342983457<134>
factorization results 素因数分解の結果
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=2172110407
Step 1 took 20453ms
Step 2 took 15109ms
********** Factor found in step 2: 694430743408346543317934266065283
Found probable prime factor of 33 digits: 694430743408346543317934266065283
Probable prime cofactor 36892727464062353803746935998125110790437863065618259953712823593194923501179666721819922557179370336183877369556062715328482342983457 has 134 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 KamadaOctober 7, 2008 01:00:00 UTC 2008 年 10 月 7 日 (火) 10 時 0 分 0 秒 (日本時間)

26×10205-539

c177

name 名前Dmitry Domanov
date 日付June 19, 2013 05:12:05 UTC 2013 年 6 月 19 日 (水) 14 時 12 分 5 秒 (日本時間)
composite number 合成数
130380235907444276505472908888208719828204223811012819358297377102386160683692609902194814698674332779963561818700511207291258739233134823385390894723756564806585630286794181643<177>
prime factors 素因数
7820116104038038865248694435677276158133<40>
composite cofactor 合成数の残り
16672416901856534978828126691966286818580863257577322988733940764577535197455498159445663632863289327508371097129875118153254061485697471<137>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2113927963
Step 1 took 100787ms
Step 2 took 31329ms
********** Factor found in step 2: 7820116104038038865248694435677276158133
Found probable prime factor of 40 digits: 7820116104038038865248694435677276158133

c137

name 名前Erik Branger
date 日付December 1, 2014 17:27:20 UTC 2014 年 12 月 2 日 (火) 2 時 27 分 20 秒 (日本時間)
composite number 合成数
16672416901856534978828126691966286818580863257577322988733940764577535197455498159445663632863289327508371097129875118153254061485697471<137>
prime factors 素因数
199129698089302637953117967873480810390257788243589471031489<60>
83726420829401070715176436757509323551820697232707675136558382891929763584639<77>
factorization results 素因数分解の結果
Number: 28883_205
N = 16672416901856534978828126691966286818580863257577322988733940764577535197455498159445663632863289327508371097129875118153254061485697471 (137 digits)
Divisors found:
r1=199129698089302637953117967873480810390257788243589471031489 (pp60)
r2=83726420829401070715176436757509323551820697232707675136558382891929763584639 (pp77)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 117.56 hours.
Factorization parameters were as follows:
# Murphy_E = 3.442e-11, selected by Erik Branger
# expecting poly E from 3.48e-011 to > 4.01e-011
n: 16672416901856534978828126691966286818580863257577322988733940764577535197455498159445663632863289327508371097129875118153254061485697471
Y0: -319090544532711962854115998
Y1: 211100120623423
c0: -10551628727020695575590913352876435
c1: 19736748416251062209362596768
c2: 39536055549588723108633
c3: -36256967502996202
c4: -28954205932
c5: 5040
skew: 1315680.83
type: gnfs
# selected mechanically
rlim: 14400000
alim: 14400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 14400000/14400000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 22362570
Relations: 3604888 relations
Pruned matrix : 2171990 x 2172216
Polynomial selection time: 0.00 hours.
Total sieving time: 114.17 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 3.16 hours.
time per square root: 0.11 hours.
Prototype def-par.txt line would be: gnfs,136,5,65,2000,1e-05,0.28,250,20,50000,3600,14400000,14400000,28,28,55,55,2.6,2.6,100000
total time: 117.56 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
3025e4430Makoto KamadaOctober 7, 2008 01:00:00 UTC 2008 年 10 月 7 日 (火) 10 時 0 分 0 秒 (日本時間)
351e60--
403e61300300Dmitry DomanovMay 6, 2011 06:43:31 UTC 2011 年 5 月 6 日 (金) 15 時 43 分 31 秒 (日本時間)
1000Dmitry DomanovJune 15, 2013 12:16:39 UTC 2013 年 6 月 15 日 (土) 21 時 16 分 39 秒 (日本時間)
4511e649001000Dmitry DomanovJune 18, 2013 12:49:31 UTC 2013 年 6 月 18 日 (火) 21 時 49 分 31 秒 (日本時間)
850Serge BatalovNovember 8, 2013 01:45:39 UTC 2013 年 11 月 8 日 (金) 10 時 45 分 39 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:08:46 UTC 2013 年 11 月 9 日 (土) 2 時 8 分 46 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:23:05 UTC 2014 年 1 月 6 日 (月) 11 時 23 分 5 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:35:08 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 8 秒 (日本時間)

26×10206-539

c197

name 名前Dmitry Domanov
date 日付May 7, 2013 06:49:28 UTC 2013 年 5 月 7 日 (火) 15 時 49 分 28 秒 (日本時間)
composite number 合成数
11961817756245205290904356179291616330666421400230391263516374608447391633043889796503841972237140802347573566259065507705417512893519267099233581604379018832646341624766819596331929779548192209241<197>
prime factors 素因数
76374204656211541488657974941980929<35>
composite cofactor 合成数の残り
156621176090667758693507611372443655864170121611137534631331535398537252573789096514860359281496710743006185421096103330867164305470718925457273487596846434928729<162>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2924473540
Step 1 took 36784ms
Step 2 took 12536ms
********** Factor found in step 2: 76374204656211541488657974941980929
Found probable prime factor of 35 digits: 76374204656211541488657974941980929

c162

name 名前Dmitry Domanov
date 日付June 19, 2013 05:11:14 UTC 2013 年 6 月 19 日 (水) 14 時 11 分 14 秒 (日本時間)
composite number 合成数
156621176090667758693507611372443655864170121611137534631331535398537252573789096514860359281496710743006185421096103330867164305470718925457273487596846434928729<162>
prime factors 素因数
28217547269776474315093822307602809739<38>
composite cofactor 合成数の残り
5550488658467601655317632907379728102100862810367355725866485068251032137745733094083087999166291610404977250230294191034411<124>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4079992771
Step 1 took 66668ms
Step 2 took 22150ms
********** Factor found in step 2: 28217547269776474315093822307602809739
Found probable prime factor of 38 digits: 28217547269776474315093822307602809739

c124

name 名前Erik Branger
date 日付June 22, 2013 09:05:07 UTC 2013 年 6 月 22 日 (土) 18 時 5 分 7 秒 (日本時間)
composite number 合成数
5550488658467601655317632907379728102100862810367355725866485068251032137745733094083087999166291610404977250230294191034411<124>
prime factors 素因数
179012084628061888026383193649999304699543719559933444232607<60>
31006223239062311275168659263149647499272835988537997877366096373<65>
factorization results 素因数分解の結果
Number: 28883_206
N = 5550488658467601655317632907379728102100862810367355725866485068251032137745733094083087999166291610404977250230294191034411 (124 digits)
Divisors found:
r1=179012084628061888026383193649999304699543719559933444232607 (pp60)
r2=31006223239062311275168659263149647499272835988537997877366096373 (pp65)
Version: Msieve v. 1.51 (SVN 845)
Total time: 63.79 hours.
Factorization parameters were as follows:
# Murphy_E = 1.651e-10, selected by Erik Branger
n: 5550488658467601655317632907379728102100862810367355725866485068251032137745733094083087999166291610404977250230294191034411
Y0: -895098400234870021868979
Y1: 387529074691
c0: 1225908551661436637853319267160
c1: 26283761035748808604165758
c2: -190219249735359061465
c3: -4269689506881006
c4: 9683523518
c5: 9660
skew: 179052.95
type: gnfs
# selected mechanically
rlim: 6600000
alim: 6600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6600000/6600000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10500853
Relations: 1596806 relations
Pruned matrix : 940302 x 940527
Polynomial selection time: 0.00 hours.
Total sieving time: 62.86 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.75 hours.
time per square root: 0.12 hours.
Prototype def-par.txt line would be: gnfs,123,5,65,2000,1e-05,0.28,250,20,50000,3600,6600000,6600000,27,27,52,52,2.5,2.5,100000
total time: 63.79 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 5, 2013 12:00:00 UTC 2013 年 5 月 5 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 15, 2013 12:16:47 UTC 2013 年 6 月 15 日 (土) 21 時 16 分 47 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovJune 18, 2013 12:49:18 UTC 2013 年 6 月 18 日 (火) 21 時 49 分 18 秒 (日本時間)

26×10207-539

c178

composite cofactor 合成数の残り
3994427731801348373078330396141615758811979417741495354587839418427764843163579942963661631735451129313349814714977781810128588552898318806711887545273032481102254127784831611713<178>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 5, 2013 12:00:00 UTC 2013 年 5 月 5 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 15, 2013 12:17:00 UTC 2013 年 6 月 15 日 (土) 21 時 17 分 0 秒 (日本時間)
4511e61300 / 42541000Dmitry DomanovJune 18, 2013 12:49:44 UTC 2013 年 6 月 18 日 (火) 21 時 49 分 44 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:39 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 39 秒 (日本時間)

26×10208-539

c199

name 名前Dmitry Domanov
date 日付May 7, 2013 05:16:33 UTC 2013 年 5 月 7 日 (火) 14 時 16 分 33 秒 (日本時間)
composite number 合成数
6104094537432540827829643345231111123459224814603492548823723472102477289936549124529776268723901870291953247322754870871423135334278140721710072502942464509317696728099306857228917778986567393113941<199>
prime factors 素因数
5696373047756975432345878533294413<34>
1071575630011821520721084469602477890414379323100075456462225211544231119599327225068812358656562866143798791678716497252975920380882768589247896720015425359635554857<166>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=848187652
Step 1 took 37178ms
Step 2 took 12641ms
********** Factor found in step 2: 5696373047756975432345878533294413
Found probable prime factor of 34 digits: 5696373047756975432345878533294413

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 5, 2013 12:00:00 UTC 2013 年 5 月 5 日 (日) 21 時 0 分 0 秒 (日本時間)

26×10209-539

c202

name 名前Dmitry Domanov
date 日付May 7, 2013 05:02:50 UTC 2013 年 5 月 7 日 (火) 14 時 2 分 50 秒 (日本時間)
composite number 合成数
9116862918887722947316135290136115008832995365965201558393066931515742243240658773714542753716255110961566507355448184858365519628909175381607424046617297240977450151386736038138951349042719049383861891<202>
prime factors 素因数
254099168745046904104114508221174859<36>
35879152867419350155318437056198755040400666689908267524480890512280488705940757035446587019812295255540663157802578849888739801086266608082150527489294905612860558249<167>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1630480796
Step 1 took 26100ms
Step 2 took 10904ms
********** Factor found in step 2: 254099168745046904104114508221174859
Found probable prime factor of 36 digits: 254099168745046904104114508221174859

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 5, 2013 12:00:00 UTC 2013 年 5 月 5 日 (日) 21 時 0 分 0 秒 (日本時間)

26×10211-539

c211

name 名前Dmitry Domanov
date 日付May 7, 2013 05:03:51 UTC 2013 年 5 月 7 日 (火) 14 時 3 分 51 秒 (日本時間)
composite number 合成数
1520467836257309941520467836257309941520467836257309941520467836257309941520467836257309941520467836257309941520467836257309941520467836257309941520467836257309941520467836257309941520467836257309941520467836257<211>
prime factors 素因数
2282176632989756411656415048991301<34>
666235826919946641602119884025819683683919154448590882223997881075893060613774874532390140609958824969926011168802001106406992342931892729266364107705286639660667586448113602157<177>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2406093671
Step 1 took 26918ms
Step 2 took 10891ms
********** Factor found in step 2: 2282176632989756411656415048991301
Found probable prime factor of 34 digits: 2282176632989756411656415048991301

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 5, 2013 12:00:00 UTC 2013 年 5 月 5 日 (日) 21 時 0 分 0 秒 (日本時間)

26×10213-539

c202

composite cofactor 合成数の残り
1722923740191361366934165739040409313553324594846568778901159471808954297148096365111806900037389442554271175277670857803726481416164381898732288878750420571280589721941737592381116022057513864536858603<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 5, 2013 12:00:00 UTC 2013 年 5 月 5 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 15, 2013 12:17:11 UTC 2013 年 6 月 15 日 (土) 21 時 17 分 11 秒 (日本時間)
4511e61800 / 42541500Dmitry DomanovJune 28, 2013 16:28:27 UTC 2013 年 6 月 29 日 (土) 1 時 28 分 27 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:39 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 39 秒 (日本時間)

26×10214-539

c200

composite cofactor 合成数の残り
29727055001769974882238638265050037319100207067162230761982468940583724657749358055285758471614723803025003860579620783072676797947450710006146076293509126312347921893743489337487297119625357572390381<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 5, 2013 12:00:00 UTC 2013 年 5 月 5 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 15, 2013 12:17:23 UTC 2013 年 6 月 15 日 (土) 21 時 17 分 23 秒 (日本時間)
4511e61800 / 42541500Dmitry DomanovJune 28, 2013 16:28:37 UTC 2013 年 6 月 29 日 (土) 1 時 28 分 37 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:40 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 40 秒 (日本時間)

26×10216-539

c185

name 名前Dmitry Domanov
date 日付May 7, 2013 05:17:36 UTC 2013 年 5 月 7 日 (火) 14 時 17 分 36 秒 (日本時間)
composite number 合成数
48215442597246772180956836196583683082496404763002745166644717652941231395291315887568882954368013083735172561598860562496681222186433487953015607868523970329811874783173413922642947387<185>
prime factors 素因数
45362060754169739145426891311925731<35>
1062902385730232648114643952102411338350504261912478717632895324040288225993759778146801895521717390543560804075726524807200125965565958523945987903177<151>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=991511848
Step 1 took 32294ms
Step 2 took 11650ms
********** Factor found in step 2: 45362060754169739145426891311925731
Found probable prime factor of 35 digits: 45362060754169739145426891311925731

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 5, 2013 12:00:00 UTC 2013 年 5 月 5 日 (日) 21 時 0 分 0 秒 (日本時間)

26×10217-539

c194

name 名前Dmitry Domanov
date 日付May 7, 2013 05:16:00 UTC 2013 年 5 月 7 日 (火) 14 時 16 分 0 秒 (日本時間)
composite number 合成数
11871912794673390280640985912003497178647988036329984863964643296952862415603518377360969048144135114683815900821099805111922936012065281845617106325833425654069968191838530178955114533766815521<194>
prime factors 素因数
149646311097227365434442803826469<33>
137591281122428693985268941376865759<36>
composite cofactor 合成数の残り
576585568082952429520461229955155551065331306121616053872832552479834874307376723501778652613537420031146085332501236533652051<126>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=8642252
Step 1 took 38770ms
Step 2 took 12737ms
********** Factor found in step 2: 149646311097227365434442803826469
Found probable prime factor of 33 digits: 149646311097227365434442803826469

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1735152110
Step 1 took 26996ms
Step 2 took 9861ms
********** Factor found in step 2: 137591281122428693985268941376865759
Found probable prime factor of 36 digits: 137591281122428693985268941376865759
Composite cofactor 576585568082952429520461229955155551065331306121616053872832552479834874307376723501778652613537420031146085332501236533652051 has 126 digits

c126

name 名前Dmitry Domanov
date 日付May 13, 2013 11:13:13 UTC 2013 年 5 月 13 日 (月) 20 時 13 分 13 秒 (日本時間)
composite number 合成数
576585568082952429520461229955155551065331306121616053872832552479834874307376723501778652613537420031146085332501236533652051<126>
prime factors 素因数
807313541805248586611575808094611165191477<42>
714202770330891375643901235133357394344640197669245947760884451410884116512721257063<84>
factorization results 素因数分解の結果
N=576585568082952429520461229955155551065331306121616053872832552479834874307376723501778652613537420031146085332501236533652051
  ( 126 digits)
Divisors found:
 r1=807313541805248586611575808094611165191477 (pp42)
 r2=714202770330891375643901235133357394344640197669245947760884451410884116512721257063 (pp84)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 72.53 hours.
Scaled time: 139.47 units (timescale=1.923).
Factorization parameters were as follows:
n: 576585568082952429520461229955155551065331306121616053872832552479834874307376723501778652613537420031146085332501236533652051
skew: 1186534.53
c0: 430144964631558782896482448990695
c1: 1383791330171840187386459301
c2: -1700822227971590180722
c3: -3131874214897660
c4: 1574919132
c5: 504
Y0: -4089651974938636942650248
Y1: 4440366139469
type: gnfs
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2800000, 6400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 893990 x 894225
Total sieving time: 71.47 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.80 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
gnfs,125,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5600000,5600000,27,27,54,54,2.5,2.5,100000
total time: 72.53 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 5, 2013 12:00:00 UTC 2013 年 5 月 5 日 (日) 21 時 0 分 0 秒 (日本時間)

26×10220-539

c203

name 名前Dmitry Domanov
date 日付July 1, 2013 04:55:57 UTC 2013 年 7 月 1 日 (月) 13 時 55 分 57 秒 (日本時間)
composite number 合成数
77056486840694154301938077299094292640742978528294714323289065081892648332065519585204548576695495071882753353811065021797402204034257179641970358244905744521267509978176011188977158525763160730575780843<203>
prime factors 素因数
449078378333784489535203376367969093507<39>
171588058028081507728920397032330110283603100819261664126547167026036356374606274337332493228915237103358683682600448484807232539829185485489480483793808999372957049<165>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3791084369
Step 1 took 86434ms
Step 2 took 33176ms
********** Factor found in step 2: 449078378333784489535203376367969093507
Found probable prime factor of 39 digits: 449078378333784489535203376367969093507

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 5, 2013 12:00:00 UTC 2013 年 5 月 5 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 15, 2013 12:17:32 UTC 2013 年 6 月 15 日 (土) 21 時 17 分 32 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovJune 28, 2013 16:29:08 UTC 2013 年 6 月 29 日 (土) 1 時 29 分 8 秒 (日本時間)

26×10223-539

c208

name 名前Dmitry Domanov
date 日付July 1, 2013 04:56:54 UTC 2013 年 7 月 1 日 (月) 13 時 56 分 54 秒 (日本時間)
composite number 合成数
1668312861790622290219603311899373210083526733886086166591923348262608360511020537363948039119153527775120770152743148618372749384175787330345913081775383686760798538783498150212787998648384359022534935849273<208>
prime factors 素因数
1453032624017013000763127203926120827602414537<46>
composite cofactor 合成数の残り
1148159259616932493498885730410222309098428211072342896293472151729863707483579954125488380953971034412631227559922324217957647238936367459870566601621679576902129<163>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=690260957
Step 1 took 81093ms
Step 2 took 27856ms
********** Factor found in step 2: 1453032624017013000763127203926120827602414537
Found probable prime factor of 46 digits: 1453032624017013000763127203926120827602414537

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 5, 2013 12:00:00 UTC 2013 年 5 月 5 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 15, 2013 12:17:41 UTC 2013 年 6 月 15 日 (土) 21 時 17 分 41 秒 (日本時間)
4511e61800 / 42541500Dmitry DomanovJune 28, 2013 16:29:20 UTC 2013 年 6 月 29 日 (土) 1 時 29 分 20 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:40 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 40 秒 (日本時間)

26×10224-539

c204

composite cofactor 合成数の残り
114110986000624007986527262195442557034016161932712461983590973312057780492408944772039621467027896928763670833460465933681000277532984627810595879539137123009378436639449148375386375394280407086620059743<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 5, 2013 12:00:00 UTC 2013 年 5 月 5 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 15, 2013 12:17:50 UTC 2013 年 6 月 15 日 (土) 21 時 17 分 50 秒 (日本時間)
4511e61800 / 42541500Dmitry DomanovJune 28, 2013 16:29:33 UTC 2013 年 6 月 29 日 (土) 1 時 29 分 33 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:41 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 41 秒 (日本時間)

26×10225-539

c151

composite cofactor 合成数の残り
1429949364043194166140210375322519922265550152935435414024046420237962102453417331461503260894676195138879066953494671300894300637663897128695102088367<151>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 5, 2013 12:00:00 UTC 2013 年 5 月 5 日 (日) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 19, 2013 12:20:37 UTC 2013 年 5 月 19 日 (日) 21 時 20 分 37 秒 (日本時間)
403e61110110Ignacio SantosMay 19, 2013 12:20:37 UTC 2013 年 5 月 19 日 (日) 21 時 20 分 37 秒 (日本時間)
1000Dmitry DomanovJune 15, 2013 12:18:01 UTC 2013 年 6 月 15 日 (土) 21 時 18 分 1 秒 (日本時間)
4511e6422232Ignacio SantosMay 19, 2013 12:20:37 UTC 2013 年 5 月 19 日 (日) 21 時 20 分 37 秒 (日本時間)
1000Dmitry DomanovJune 18, 2013 12:48:54 UTC 2013 年 6 月 18 日 (火) 21 時 48 分 54 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:11:10 UTC 2013 年 11 月 9 日 (土) 2 時 11 分 10 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:25:10 UTC 2014 年 1 月 6 日 (月) 11 時 25 分 10 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:11 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 11 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:41 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 41 秒 (日本時間)
740Ignacio SantosDecember 26, 2015 15:26:39 UTC 2015 年 12 月 27 日 (日) 0 時 26 分 39 秒 (日本時間)

26×10226-539

c170

composite cofactor 合成数の残り
14117451707179041981684143259991268996595592821091837249246761875226496839538549472687058651590976651742595084473437617548729727725038385874244125383398983380315373836187<170>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 5, 2013 12:00:00 UTC 2013 年 5 月 5 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 15, 2013 15:50:02 UTC 2013 年 6 月 16 日 (日) 0 時 50 分 2 秒 (日本時間)
4511e61300 / 42541000Dmitry DomanovJune 18, 2013 12:48:32 UTC 2013 年 6 月 18 日 (火) 21 時 48 分 32 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:41 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 41 秒 (日本時間)

26×10227-539

c186

name 名前Dmitry Domanov
date 日付June 24, 2013 05:05:17 UTC 2013 年 6 月 24 日 (月) 14 時 5 分 17 秒 (日本時間)
composite number 合成数
145911915526978237684054265832303407370103308999238952652810607107335259665108456487277859104194834700673541108964822492228795120254204129807295105709040234624581940428456816033635134433<186>
prime factors 素因数
30723479775785650317304769111707826256727<41>
composite cofactor 合成数の残り
4749198873038365918058128614884715814678523110875835076889931916004566749599986954184799092052994368980963734691034187036469133910100309055539079<145>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3900110891
Step 1 took 91586ms
Step 2 took 34054ms
********** Factor found in step 2: 30723479775785650317304769111707826256727
Found probable prime factor of 41 digits: 30723479775785650317304769111707826256727

c145

name 名前Serge Batalov
date 日付November 8, 2013 02:50:43 UTC 2013 年 11 月 8 日 (金) 11 時 50 分 43 秒 (日本時間)
composite number 合成数
4749198873038365918058128614884715814678523110875835076889931916004566749599986954184799092052994368980963734691034187036469133910100309055539079<145>
prime factors 素因数
280989247470751082413299473872495720244740703<45>
2440362493956337382154420951559699282236111241<46>
6925901539131042572747260842405952827578058804031851473<55>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1240604439
Step 1 took 36067ms
Step 2 took 15436ms
********** Factor found in step 2: 280989247470751082413299473872495720244740703
Found probable prime factor of 45 digits: 280989247470751082413299473872495720244740703
Composite cofactor (101-digit) = 

prp46 factor: 2440362493956337382154420951559699282236111241
prp55 factor: 6925901539131042572747260842405952827578058804031851473
software ソフトウェア
GMP-ECM 6.5; Msieve v. 1.51 (SVN 719M)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 5, 2013 12:00:00 UTC 2013 年 5 月 5 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 15, 2013 15:50:12 UTC 2013 年 6 月 16 日 (日) 0 時 50 分 12 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovJune 21, 2013 12:04:47 UTC 2013 年 6 月 21 日 (金) 21 時 4 分 47 秒 (日本時間)

26×10231-539

c201

composite cofactor 合成数の残り
368791587822017221422682090252215115916753952321463510871481179597621297560792637524429091641599194243570898606003962005641891486297326695012954413668495750889301127183222675043572437129542186665791903<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 5, 2013 12:00:00 UTC 2013 年 5 月 5 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 15, 2013 15:50:21 UTC 2013 年 6 月 16 日 (日) 0 時 50 分 21 秒 (日本時間)
4511e61800 / 42541500Dmitry DomanovJune 21, 2013 12:04:58 UTC 2013 年 6 月 21 日 (金) 21 時 4 分 58 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:42 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 42 秒 (日本時間)

26×10233-539

c231

composite cofactor 合成数の残り
160583039960471867086653078870977703662528565252300660860972145018837625841516892100549688098326230621950466308442962139460193934902106108331789265641405719226730899882650855413501327898215057748131678092767586931011055524674201717<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 5, 2013 12:00:00 UTC 2013 年 5 月 5 日 (日) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 31, 2013 14:23:43 UTC 2013 年 5 月 31 日 (金) 23 時 23 分 43 秒 (日本時間)
403e61110110Ignacio SantosMay 31, 2013 14:23:43 UTC 2013 年 5 月 31 日 (金) 23 時 23 分 43 秒 (日本時間)
1000Dmitry DomanovJune 15, 2013 15:50:32 UTC 2013 年 6 月 16 日 (日) 0 時 50 分 32 秒 (日本時間)
4511e6448232Ignacio SantosMay 31, 2013 14:23:43 UTC 2013 年 5 月 31 日 (金) 23 時 23 分 43 秒 (日本時間)
1500Dmitry DomanovJune 18, 2013 12:48:16 UTC 2013 年 6 月 18 日 (火) 21 時 48 分 16 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:16:24 UTC 2013 年 11 月 9 日 (土) 2 時 16 分 24 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:29:09 UTC 2014 年 1 月 6 日 (月) 11 時 29 分 9 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:24:36 UTC 2014 年 2 月 24 日 (月) 4 時 24 分 36 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:04:06 UTC 2014 年 5 月 25 日 (日) 4 時 4 分 6 秒 (日本時間)

26×10234-539

c194

composite cofactor 合成数の残り
87213210873235222036690064513019148257377787829624490627033592590247997134331633454844120974317125116474805025826603636641224531306743238421433055993297339106832394143253621158666010145504705229<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 5, 2013 12:00:00 UTC 2013 年 5 月 5 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 15, 2013 15:50:41 UTC 2013 年 6 月 16 日 (日) 0 時 50 分 41 秒 (日本時間)
4511e61800 / 42541500Dmitry DomanovJune 21, 2013 12:04:31 UTC 2013 年 6 月 21 日 (金) 21 時 4 分 31 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:42 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 42 秒 (日本時間)

26×10236-539

c233

composite cofactor 合成数の残り
45372842608589428127672198663246252377711463623195993228975795333577648639687276407866952864596966999982548906689004066104741462052597595239341744760309233373470847948623981292427970612358864282847320384622096574350383051498176360749<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 5, 2013 12:00:00 UTC 2013 年 5 月 5 日 (日) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 31, 2013 22:33:00 UTC 2013 年 6 月 1 日 (土) 7 時 33 分 0 秒 (日本時間)
403e61110110Ignacio SantosMay 31, 2013 22:33:00 UTC 2013 年 6 月 1 日 (土) 7 時 33 分 0 秒 (日本時間)
1000Dmitry DomanovJune 15, 2013 15:50:51 UTC 2013 年 6 月 16 日 (日) 0 時 50 分 51 秒 (日本時間)
4511e6448232Ignacio SantosMay 31, 2013 22:33:00 UTC 2013 年 6 月 1 日 (土) 7 時 33 分 0 秒 (日本時間)
1500Dmitry DomanovJune 18, 2013 12:48:03 UTC 2013 年 6 月 18 日 (火) 21 時 48 分 3 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:17:01 UTC 2013 年 11 月 9 日 (土) 2 時 17 分 1 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:29:38 UTC 2014 年 1 月 6 日 (月) 11 時 29 分 38 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:24:36 UTC 2014 年 2 月 24 日 (月) 4 時 24 分 36 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:04:17 UTC 2014 年 5 月 25 日 (日) 4 時 4 分 17 秒 (日本時間)

26×10237-539

c207

composite cofactor 合成数の残り
154835620028846333451339040320310629237054479517436833043562111559358463627089696860899506524244015722026697197060242680904305709169993900632015220598066545558809811133977804374788808543061022020038081454321<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 5, 2013 12:00:00 UTC 2013 年 5 月 5 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 15, 2013 15:51:00 UTC 2013 年 6 月 16 日 (日) 0 時 51 分 0 秒 (日本時間)
4511e61800 / 42541500Dmitry DomanovJune 21, 2013 12:04:11 UTC 2013 年 6 月 21 日 (金) 21 時 4 分 11 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:43 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 43 秒 (日本時間)

26×10239-539

c227

composite cofactor 合成数の残り
20823089339996373935665104672635694110150380842416301823514614558266521280982594225256257981156195677484563318101448373677720535945762992006441489185440507074522503070978277954345557571196425048805908248920724388210017202024907<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 5, 2013 12:00:00 UTC 2013 年 5 月 5 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 15, 2013 15:51:09 UTC 2013 年 6 月 16 日 (日) 0 時 51 分 9 秒 (日本時間)
4511e61800 / 42541500Dmitry DomanovJune 18, 2013 12:47:49 UTC 2013 年 6 月 18 日 (火) 21 時 47 分 49 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:43 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 43 秒 (日本時間)

26×10240-539

c225

composite cofactor 合成数の残り
122335868189165236872200115331737720784940461031100762017306065826675754449602938132663194602029918470901855790595308570220453843379212089667353983383129412155706593246968203767688650522582274966272002471672979710523252645477<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 5, 2013 12:00:00 UTC 2013 年 5 月 5 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 15, 2013 15:51:18 UTC 2013 年 6 月 16 日 (日) 0 時 51 分 18 秒 (日本時間)
4511e61800 / 42541500Dmitry DomanovJune 18, 2013 12:47:33 UTC 2013 年 6 月 18 日 (火) 21 時 47 分 33 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:43 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 43 秒 (日本時間)

26×10241-539

c227

composite cofactor 合成数の残り
32344309158920777136897977026461659056788576578738020753262898456512625130211999638945004635802337588143878842368107478604119103532957223793509250405723943095220224380462619251072094156785040462683629705098267571015098223705163<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 5, 2013 12:00:00 UTC 2013 年 5 月 5 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 15, 2013 15:51:27 UTC 2013 年 6 月 16 日 (日) 0 時 51 分 27 秒 (日本時間)
4511e61800 / 42541500Dmitry DomanovJune 18, 2013 12:47:20 UTC 2013 年 6 月 18 日 (火) 21 時 47 分 20 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:44 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 44 秒 (日本時間)

26×10243-539

c223

composite cofactor 合成数の残り
3708943121589547559370628245195373445014226607260847614468603868143372686837428469975958437104662683611928122021185828471162026010829484276067621194397907393611888437261535191270784586936442865504175553913762618724621671483<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 5, 2013 12:00:00 UTC 2013 年 5 月 5 日 (日) 21 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovJune 15, 2013 15:51:36 UTC 2013 年 6 月 16 日 (日) 0 時 51 分 36 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:40:14 UTC 2014 年 1 月 9 日 (木) 13 時 40 分 14 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:53 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 53 秒 (日本時間)

26×10244-539

c203

composite cofactor 合成数の残り
11744497418566337170904718013855382364104771077474498124985906548835380543447327754601131331885256306198591812926957393768019183676750990562995979516907028234510778906573863418690941164515708078841716371<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 5, 2013 12:00:00 UTC 2013 年 5 月 5 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 15, 2013 15:51:44 UTC 2013 年 6 月 16 日 (日) 0 時 51 分 44 秒 (日本時間)
4511e61800 / 42541500Dmitry DomanovJune 21, 2013 12:03:53 UTC 2013 年 6 月 21 日 (金) 21 時 3 分 53 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:44 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 44 秒 (日本時間)

26×10245-539

c181

composite cofactor 合成数の残り
6238842366894238712343927585309577519548244883552138192400826722413062463984037176340045178681739269327173473527009942597971981097270780400878743109156993747853647338289448736387277<181>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 5, 2013 12:00:00 UTC 2013 年 5 月 5 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 15, 2013 15:51:52 UTC 2013 年 6 月 16 日 (日) 0 時 51 分 52 秒 (日本時間)
4511e61300 / 42541000Dmitry DomanovJune 18, 2013 12:47:00 UTC 2013 年 6 月 18 日 (火) 21 時 47 分 0 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:45 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 45 秒 (日本時間)

26×10246-539

c246

name 名前Serge Batalov
date 日付November 15, 2013 01:04:21 UTC 2013 年 11 月 15 日 (金) 10 時 4 分 21 秒 (日本時間)
composite number 合成数
962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962961<246>
prime factors 素因数
1000354673364987616726525991501888666227431528383143187<55>
composite cofactor 合成数の残り
962621546739771183943688872500188301155112943427102076407100486303595400561691173626782061304814933503544709688336034150098971928175310737429671596936775666654654045572693388643692958446208203<192>
factorization results 素因数分解の結果
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=342608600
Step 1 took 846401ms
Step 2 took 53902ms
********** Factor found in step 2: 1000354673364987616726525991501888666227431528383143187
Found probable prime factor of 55 digits: 1000354673364987616726525991501888666227431528383143187
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaMay 5, 2013 12:00:00 UTC 2013 年 5 月 5 日 (日) 21 時 0 分 0 秒 (日本時間)
800Serge BatalovMay 11, 2013 20:28:45 UTC 2013 年 5 月 12 日 (日) 5 時 28 分 45 秒 (日本時間)
403e61600300Serge BatalovMay 11, 2013 20:28:45 UTC 2013 年 5 月 12 日 (日) 5 時 28 分 45 秒 (日本時間)
300Serge BatalovMay 11, 2013 20:28:54 UTC 2013 年 5 月 12 日 (日) 5 時 28 分 54 秒 (日本時間)
1000Dmitry DomanovJune 15, 2013 15:52:03 UTC 2013 年 6 月 16 日 (日) 0 時 52 分 3 秒 (日本時間)
4511e61500Dmitry DomanovJune 18, 2013 12:46:46 UTC 2013 年 6 月 18 日 (火) 21 時 46 分 46 秒 (日本時間)
5043e6740 / 4366Dmitry DomanovJune 24, 2013 07:16:40 UTC 2013 年 6 月 24 日 (月) 16 時 16 分 40 秒 (日本時間)
5511e71155 / 17398805yoyo@homeSeptember 30, 2013 20:00:49 UTC 2013 年 10 月 1 日 (火) 5 時 0 分 49 秒 (日本時間)
350Serge BatalovNovember 15, 2013 01:03:57 UTC 2013 年 11 月 15 日 (金) 10 時 3 分 57 秒 (日本時間)

26×10247-539

c206

composite cofactor 合成数の残り
21825680248181045290304639887616117901603126013016016155861032446226104656519593256335371743638304660863848531899448856429482279061093618793280553084069394652958541883071285439272137496377732197458930162191<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 5, 2013 12:00:00 UTC 2013 年 5 月 5 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 15, 2013 15:52:11 UTC 2013 年 6 月 16 日 (日) 0 時 52 分 11 秒 (日本時間)
4511e61800 / 42541500Dmitry DomanovJune 21, 2013 12:03:23 UTC 2013 年 6 月 21 日 (金) 21 時 3 分 23 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:45 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 45 秒 (日本時間)

26×10248-539

c218

composite cofactor 合成数の残り
14492787968186654647573273249220638546346700154349305860999131633284675892432531836885590026508896557154606185791024483391763341394327013777097486856736796087717922508650725677260754706779461951314431100557557087918863<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 5, 2013 12:00:00 UTC 2013 年 5 月 5 日 (日) 21 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovJune 15, 2013 15:52:20 UTC 2013 年 6 月 16 日 (日) 0 時 52 分 20 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:40:15 UTC 2014 年 1 月 9 日 (木) 13 時 40 分 15 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:53 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 53 秒 (日本時間)

26×10249-539

c240

composite cofactor 合成数の残り
644870334060859401605635108814869425361422296818996987282942444117546427464441409965915030511259935025926289898183281421828262164907899986093477897609738608044744425752260224332045635093573111052781448470869193638478574779767499125879440309<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 5, 2013 12:00:00 UTC 2013 年 5 月 5 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 15, 2013 15:52:29 UTC 2013 年 6 月 16 日 (日) 0 時 52 分 29 秒 (日本時間)
4511e61800 / 42541500Dmitry DomanovJune 18, 2013 12:46:25 UTC 2013 年 6 月 18 日 (火) 21 時 46 分 25 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:46 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 46 秒 (日本時間)

26×10250-539

c183

name 名前Dmitry Domanov
date 日付June 19, 2013 06:26:34 UTC 2013 年 6 月 19 日 (水) 15 時 26 分 34 秒 (日本時間)
composite number 合成数
251074226534677060874192293545925334930272049238631756717997477976189834324537308112264100492715234456053133863463606197622042900387981069633034707422927345933750848832683101874342373<183>
prime factors 素因数
1482374505507383402040750083554707040341658991<46>
169373006350200288083312727937230326102560812513878735651342575328754110066602223590844771800118709260883444447732746753423001711488359403<138>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3372157364
Step 1 took 68643ms
Step 2 took 24120ms
********** Factor found in step 2: 1482374505507383402040750083554707040341658991
Found probable prime factor of 46 digits: 1482374505507383402040750083554707040341658991

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 5, 2013 12:00:00 UTC 2013 年 5 月 5 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 15, 2013 15:52:37 UTC 2013 年 6 月 16 日 (日) 0 時 52 分 37 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovJune 18, 2013 12:46:07 UTC 2013 年 6 月 18 日 (火) 21 時 46 分 7 秒 (日本時間)

26×10251-539

c248

composite cofactor 合成数の残り
60424364963164377512840177554672430221478537730367891422064189267703176927188640219386925097027586046619721583118362034906690836412651932417671802737688535638755258081758813823235492342373747937437542122754421436705477701085314555299914011480629343<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10252-539

c184

composite cofactor 合成数の残り
2343642488416148162933099563881603369822879607895755706897620213380251455106225772232888016023880022124559451614449583611971754182867271578329418744161861881677868218509782015363321963<184>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 4, 2017 11:29:22 UTC 2017 年 2 月 4 日 (土) 20 時 29 分 22 秒 (日本時間)
4511e6320 / 4218Dmitry DomanovFebruary 6, 2017 07:47:19 UTC 2017 年 2 月 6 日 (月) 16 時 47 分 19 秒 (日本時間)

26×10253-539

c184

composite cofactor 合成数の残り
1104029348216006856949487737891488762415663829807987005052722466989987168047618537918232466128048288222383162081061314075787399829174018128397707507382102473910549497140361076900043323<184>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 4, 2017 11:29:48 UTC 2017 年 2 月 4 日 (土) 20 時 29 分 48 秒 (日本時間)
4511e6320 / 4218Dmitry DomanovFebruary 6, 2017 07:48:05 UTC 2017 年 2 月 6 日 (月) 16 時 48 分 5 秒 (日本時間)

26×10255-539

c218

composite cofactor 合成数の残り
31939048901289966283634450410042428784292270927078037020459593219273749585150219374743462594075955159028733145720444538232416138540923542834200824315916072013073535162235223868659467911280154111051272866663236884888301<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10256-539

c254

composite cofactor 合成数の残り
18295686440081626908732671873900499612975863767504046161424248821335585110125958764337485046794736471747238055027795369783970163957497713039194989796636408416015762437548378017029061994229821968897333051861234255154457814369150657941031595243121525578777<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10257-539

c246

composite cofactor 合成数の残り
788284873167296016344754999021706724226118830869100761206476355997068323955532702309605251372400428044436607354194363695352045369614680589083604476070281392680920157686521503026507061099887860251675990090570344603153367444098460047101304626857779<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10259-539

c239

composite cofactor 合成数の残り
98308083696478514487038737185075043913493993917093333103713895134245342156470255556215771735337175481337253821862331092494039330838159263528570371673192141476919571894565383571719531406043586302164241320376662383240992246106443532952154769<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10260-539

c185

composite cofactor 合成数の残り
50024859019799505080077715170806531179903991246298768304056972901743546392854945948958041803023597343513702257010555421235041040680336294116791087681046362825144512497087443669682301843<185>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 6, 2017 07:48:35 UTC 2017 年 2 月 6 日 (月) 16 時 48 分 35 秒 (日本時間)
4511e6320 / 4218Dmitry DomanovFebruary 6, 2017 07:48:35 UTC 2017 年 2 月 6 日 (月) 16 時 48 分 35 秒 (日本時間)

26×10261-539

c225

composite cofactor 合成数の残り
282748896855145453120329340460533372068976325853034378775103652233237968568122148659642451287019528631100173744324268084761981224878179240877831098962042678964063643590567685695602563689295320787437209597694821287962238949637<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10262-539

c263

name 名前Serge Batalov
date 日付May 1, 2016 17:56:05 UTC 2016 年 5 月 2 日 (月) 2 時 56 分 5 秒 (日本時間)
composite number 合成数
28888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883<263>
prime factors 素因数
55743181346782370915768955349771060645613<41>
composite cofactor 合成数の残り
518249733705886241186984969041112825838511922404993678989505023535619626016048098097437176605153242454517404843682104757170769215016287260239557306745294963928225283649404844542764500129372763923330554277689960304187493791<222>
factorization results 素因数分解の結果
Using B1=6000000, B2=6000000-35128842850, polynomial Dickson(12), sigma=3122407154
Step 1 took 36244ms
Step 2 took 18240ms
********** Factor found in step 2: 55743181346782370915768955349771060645613
Found probable prime factor of 41 digits: 55743181346782370915768955349771060645613
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61200600Dmitry DomanovApril 26, 2016 16:19:46 UTC 2016 年 4 月 27 日 (水) 1 時 19 分 46 秒 (日本時間)
600Serge BatalovMay 1, 2016 17:55:40 UTC 2016 年 5 月 2 日 (月) 2 時 55 分 40 秒 (日本時間)
4511e6600 / 4173Serge BatalovMay 1, 2016 17:55:40 UTC 2016 年 5 月 2 日 (月) 2 時 55 分 40 秒 (日本時間)

26×10263-539

c237

composite cofactor 合成数の残り
147380597681637738976443767352416711602384978262571985095197488322996783216330204528606301346058872273840388077983987254676677864599479987088870970309530862650937379673656344538860788189018484007358330171728698369160551225583030286841537<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10264-539

c197

composite cofactor 合成数の残り
78895243397936995091386264718799814742850984435139199238946102620134526151066313655913873671635067075139712854086479696245310804255245550713367311891837756121540467808817432136069100762386182740999<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 6, 2017 09:58:57 UTC 2017 年 2 月 6 日 (月) 18 時 58 分 57 秒 (日本時間)
4511e6320 / 4218Dmitry DomanovFebruary 6, 2017 12:21:37 UTC 2017 年 2 月 6 日 (月) 21 時 21 分 37 秒 (日本時間)

26×10265-539

c200

composite cofactor 合成数の残り
16865304768351951126773982204089902170249710267946638724257564257502413486901350474481544272410640115875834156108869373099624312808821467573985237201858410886359950769103179780528644908716411400651129<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 6, 2017 08:27:30 UTC 2017 年 2 月 6 日 (月) 17 時 27 分 30 秒 (日本時間)
4511e6320 / 4218Dmitry DomanovFebruary 6, 2017 11:46:21 UTC 2017 年 2 月 6 日 (月) 20 時 46 分 21 秒 (日本時間)

26×10267-539

c251

composite cofactor 合成数の残り
17485548187414561040322328311003685887530863607960089426305864523538888674589482981790428663291384593899438636793772295985924462611676885664622337737870740460948414981712249108497799270180823818598915049055903649045349730235365605371325839341601442627<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10269-539

c232

composite cofactor 合成数の残り
3296056539526874168471068388502690585084644706292122745273412837761911452963602594860118128916784040501647699267084000080395119245172159381265604169456124797440496385218173540409813600644949571753583653879854415958182286934602087421<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10270-539

c191

composite cofactor 合成数の残り
87662899365915944050875300880445333167476882898405436760843588344535379519257002376299902274106457549568069501588879484604987680866449616521088378469345993098405627918775140261746482627642007<191>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 6, 2017 09:59:40 UTC 2017 年 2 月 6 日 (月) 18 時 59 分 40 秒 (日本時間)
4511e6320 / 4218Dmitry DomanovFebruary 6, 2017 11:28:29 UTC 2017 年 2 月 6 日 (月) 20 時 28 分 29 秒 (日本時間)

26×10271-539

c244

composite cofactor 合成数の残り
2943179984213932731141100089642906241869859690675538256102014281687747575955204694501946755692431301364599655083957353515129107386637650879092138795187924990797545432244960774988138159462843300484786622903261876532881965206708123311749762784891<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10273-539

c209

composite cofactor 合成数の残り
51452992701520895166437965325009090392014326582314944819122518937553738413582114707571018492659359378509730309563219151809019511111883529524578328321073764771098420728102523825317282687664983601160983209931283<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10275-539

c275

composite cofactor 合成数の残り
41269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269<275>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10276-539

c239

composite cofactor 合成数の残り
22462280507828185881278615378071398266358488891995567846532694416632617748082132016280217100211812606023948873185945199153410010484190865768135503748749200187427101393709683150384434539507635460277481258460409153368003343172676129306110027<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10277-539

c168

name 名前Serge Batalov
date 日付April 27, 2016 03:13:24 UTC 2016 年 4 月 27 日 (水) 12 時 13 分 24 秒 (日本時間)
composite number 合成数
687910565064979940290819062281945533119014326677302958386196253302925193245392013241330259851310975470054334142271958403220327737255822600340442560537440443101873783201<168>
prime factors 素因数
430190996789666216141939055620099597<36>
1599081733924154744887409969677080947979498004641584051182865568919821568118713803868642882575924821290537784734833273961340315234533<133>
factorization results 素因数分解の結果
Using B1=3000000, B2=3000000-11414255590, polynomial Dickson(12), sigma=3413991514
Step 1 took 15088ms
Step 2 took 12100ms
********** Factor found in step 2: 430190996789666216141939055620099597
Found probable prime factor of 36 digits: 430190996789666216141939055620099597
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovApril 26, 2016 12:08:55 UTC 2016 年 4 月 26 日 (火) 21 時 8 分 55 秒 (日本時間)

26×10278-539

c221

composite cofactor 合成数の残り
88582221581223939390649027883869115330716798937043671078569833012362670215609656880570150489825368361779153433698239739343054639528606787130322970382380714381592584728781679430484023249957705033931603576851422711022744243<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10279-539

c279

composite cofactor 合成数の残り
962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962961<279>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10283-539

c267

composite cofactor 合成数の残り
408165433435035235370287916379564788304155582731241687156330832419702619281628183269337683334755525742981957928441970532900315624289885224740035062137985063193739718634954040635660212583143245877697559983189917565200485126784062186660746330881416685641840216175362929<267>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10284-539

c213

composite cofactor 合成数の残り
182821090525333769674684994709464382671826587723633610069639483911359006532429905372788377121073205116886333679846732645471488354227750554761933666206219228516393702334222243346919306401714775208588678128820784109<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10285-539

c278

composite cofactor 合成数の残り
17229110755344552491577547550604550577516114766661239430512922535152771694659197192448016100068573119856672671018391485302957886246440955256621604331707507634247138662675137613430244510218695258911392910579157147806621449567906857221930430665127812856015345322195473961508739207<278>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10286-539

c263

composite cofactor 合成数の残り
42525395641866710280251081687277512868642503393300174235862666434725845262165826547323246791334563349167468709982118432832271846509593677314683436086107032620786340275447287192928910253977840539349815464384161781623425577348539427010818213787234334465994433734791<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10287-539

c250

composite cofactor 合成数の残り
1252282146589951501154815969942825067188235285413487476816255055871645722714227658989616248148758245850075075136015445428133899630520055208722269594171429406917482337060066095458897328815775019744106662593936627457101233413514162303199883350735084977<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10288-539

c278

composite cofactor 合成数の残り
40869306489781018136846136660311927799379893178744288447076046308279566396434046323528945243190430153232646221247776818881407038902052712291324698931008206837576587572972144831579618696435527355989227830861550934181754744275444449598313924333979876957809913299355062889329797477<278>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10289-539

c290

name 名前Dmitry Domanov
date 日付September 19, 2016 06:09:19 UTC 2016 年 9 月 19 日 (月) 15 時 9 分 19 秒 (日本時間)
composite number 合成数
28888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883<290>
prime factors 素因数
1585234150253108263542566155854285537602604175532869<52>
composite cofactor 合成数の残り
18223736149184214002020446725836404367469093116563963292952998542968247499876494746154337808843186566970974497158535017423034952574133994576774662651254378825837082565218334753722270856307383090170158195866801044013730992721283386715965207<239>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2652327984
Step 1 took 835512ms
Step 2 took 174581ms
********** Factor found in step 2: 1585234150253108263542566155854285537602604175532869
Found probable prime factor of 52 digits: 1585234150253108263542566155854285537602604175532869

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61100600Dmitry DomanovApril 26, 2016 16:21:15 UTC 2016 年 4 月 27 日 (水) 1 時 21 分 15 秒 (日本時間)
500Serge BatalovMay 1, 2016 20:52:11 UTC 2016 年 5 月 2 日 (月) 5 時 52 分 11 秒 (日本時間)
4511e61500500Serge BatalovMay 1, 2016 20:52:11 UTC 2016 年 5 月 2 日 (月) 5 時 52 分 11 秒 (日本時間)
1000Dmitry DomanovMay 3, 2016 17:02:21 UTC 2016 年 5 月 4 日 (水) 2 時 2 分 21 秒 (日本時間)
5043e65800600Dmitry DomanovMay 6, 2016 17:05:41 UTC 2016 年 5 月 7 日 (土) 2 時 5 分 41 秒 (日本時間)
3200Dmitry DomanovSeptember 2, 2016 22:25:59 UTC 2016 年 9 月 3 日 (土) 7 時 25 分 59 秒 (日本時間)
2000Dmitry DomanovSeptember 16, 2016 14:53:12 UTC 2016 年 9 月 16 日 (金) 23 時 53 分 12 秒 (日本時間)
5511e7680 / 1559480Dmitry DomanovMay 7, 2016 21:41:02 UTC 2016 年 5 月 8 日 (日) 6 時 41 分 2 秒 (日本時間)
600Dmitry DomanovSeptember 18, 2016 10:06:41 UTC 2016 年 9 月 18 日 (日) 19 時 6 分 41 秒 (日本時間)
6026e71 / 41056Dmitry DomanovMay 9, 2016 07:07:12 UTC 2016 年 5 月 9 日 (月) 16 時 7 分 12 秒 (日本時間)

26×10290-539

c256

composite cofactor 合成数の残り
5017333471499618183373909144821154231778361160683056233276853667608361204918898163325632434270267538977504777849437871557837149036768029629191477286988323975373104190375186989652970080110217348478622779460878028863243837194871915316660407039820253352539851<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10291-539

c255

composite cofactor 合成数の残り
449187096995626876805993279850205591128581973537400447640791600215734237678327256698578163549271529851846947531348049016268487811362408907304533362466009291473914435343103680913407251843300288464735968765632329271073970585615309481479981163767924387896947<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10294-539

c249

composite cofactor 合成数の残り
546070993033054275369449681268823672643540800273605105220864479404767125341945804856966210112071413984899652420441548586166140056728749438585637601100518524331976399247226892262119401799007754092423877942768751640688576506032111501021681739106848739<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10296-539

c297

composite cofactor 合成数の残り
288888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883<297>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovApril 27, 2016 11:56:11 UTC 2016 年 4 月 27 日 (水) 20 時 56 分 11 秒 (日本時間)
4511e61200Dmitry DomanovApril 30, 2016 16:57:10 UTC 2016 年 5 月 1 日 (日) 1 時 57 分 10 秒 (日本時間)
5043e64600600Dmitry DomanovMay 6, 2016 17:04:56 UTC 2016 年 5 月 7 日 (土) 2 時 4 分 56 秒 (日本時間)
4000Dmitry DomanovAugust 12, 2016 22:24:11 UTC 2016 年 8 月 13 日 (土) 7 時 24 分 11 秒 (日本時間)
5511e71120 / 16043120Dmitry DomanovMay 8, 2016 00:29:12 UTC 2016 年 5 月 8 日 (日) 9 時 29 分 12 秒 (日本時間)
1000Dmitry DomanovAugust 26, 2016 17:10:28 UTC 2016 年 8 月 27 日 (土) 2 時 10 分 28 秒 (日本時間)

26×10297-539

c275

composite cofactor 合成数の残り
80000418082261464221454037277552515184756832814006414410180875134272426496869148494826650937192132522906452370979018933112389843974635069742738922785452565866749086817683872832017003382093869237986704930734375102688115165921289589293513602565340248800535744685356010595013979<275>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10299-539

c286

composite cofactor 合成数の残り
9636327284036384598148139322661037212309740617215146027258207682489430463789859601673447955201925920844828872354569795241020658301007468025055986647669922753928904431936709881385235891778584010367853048268362869241312261047830962392638549153642290774834595629371144075418980059331991031<286>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10300-539

c270

name 名前Dmitry Domanov
date 日付May 1, 2016 18:49:27 UTC 2016 年 5 月 2 日 (月) 3 時 49 分 27 秒 (日本時間)
composite number 合成数
995830375023471530095881783612608544506687044024210124309686663059764058546638922637350244016448925963596986125097086762885627585315065246507416300122479078368332251892447557080254751424039317245822000965198546653945961544134718781464557100316746549928583211098537183359<270>
prime factors 素因数
20414930358147763257538021821903853088923<41>
composite cofactor 合成数の残り
48779513696750261049846164353668940620228321338571830923137032672704746349918416580915834584460414403471264208889563959013887578836497373645823128118870737569962893653136032281475515264415848155445669595574637700077835779022564333<230>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=373005712
Step 1 took 183212ms
Step 2 took 49127ms
********** Factor found in step 2: 20414930358147763257538021821903853088923
Found probable prime factor of 41 digits: 20414930358147763257538021821903853088923
Composite cofactor 48779513696750261049846164353668940620228321338571830923137032672704746349918416580915834584460414403471264208889563959013887578836497373645823128118870737569962893653136032281475515264415848155445669595574637700077835779022564333 has 230 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovApril 26, 2016 14:34:28 UTC 2016 年 4 月 26 日 (火) 23 時 34 分 28 秒 (日本時間)
4511e61200Dmitry DomanovApril 30, 2016 16:55:27 UTC 2016 年 5 月 1 日 (日) 1 時 55 分 27 秒 (日本時間)
5043e6400 / 6703Dmitry DomanovMay 4, 2016 14:47:46 UTC 2016 年 5 月 4 日 (水) 23 時 47 分 46 秒 (日本時間)
5511e7220 / 17541Dmitry DomanovMay 11, 2016 15:02:17 UTC 2016 年 5 月 12 日 (木) 0 時 2 分 17 秒 (日本時間)