Table of contents 目次

29×10102+619

c95

name 名前Justin Card
date 日付December 8, 2008 12:09:51 UTC 2008 年 12 月 8 日 (月) 21 時 9 分 51 秒 (日本時間)
composite number 合成数
78147246912777515997974283233922894218752096417792988789074105139850332446607301544655518272043<95>
prime factors 素因数
64818012805041651210696411371692207<35>
1205640894111136574747224703848636622066787269446361488487749<61>
factorization results 素因数分解の結果
Sun Dec  7 16:27:13 2008
Sun Dec  7 16:27:13 2008
Sun Dec  7 16:27:13 2008  Msieve v. 1.39
Sun Dec  7 16:27:13 2008  random seeds: 246e521a 2bff3da1
Sun Dec  7 16:27:13 2008  factoring 78147246912777515997974283233922894218752096417792988789074105139850332446607301544655518272043 (95 digits)
Sun Dec  7 16:27:13 2008  searching for 15-digit factors
Sun Dec  7 16:27:14 2008  commencing quadratic sieve (95-digit input)
Sun Dec  7 16:27:14 2008  using multiplier of 3
Sun Dec  7 16:27:14 2008  using 64kb Opteron sieve core
Sun Dec  7 16:27:14 2008  sieve interval: 18 blocks of size 65536
Sun Dec  7 16:27:14 2008  processing polynomials in batches of 6
Sun Dec  7 16:27:14 2008  using a sieve bound of 2196599 (81146 primes)
Sun Dec  7 16:27:14 2008  using large prime bound of 329489850 (28 bits)
Sun Dec  7 16:27:14 2008  using double large prime bound of 2148402323041500 (43-51 bits)
Sun Dec  7 16:27:14 2008  using trial factoring cutoff of 51 bits
Sun Dec  7 16:27:14 2008  polynomial 'A' values have 12 factors
Sun Dec  7 16:27:26 2008
Sun Dec  7 16:27:26 2008
Sun Dec  7 16:27:26 2008  Msieve v. 1.39
Sun Dec  7 16:27:26 2008  random seeds: 666dd84d c9507886
Sun Dec  7 16:27:26 2008  factoring 78147246912777515997974283233922894218752096417792988789074105139850332446607301544655518272043 (95 digits)
Sun Dec  7 16:27:26 2008  searching for 15-digit factors
Sun Dec  7 16:27:27 2008  commencing quadratic sieve (95-digit input)
Sun Dec  7 16:27:27 2008  using multiplier of 3
Sun Dec  7 16:27:27 2008  using 64kb Opteron sieve core
Sun Dec  7 16:27:27 2008  sieve interval: 18 blocks of size 65536
Sun Dec  7 16:27:27 2008  processing polynomials in batches of 6
Sun Dec  7 16:27:27 2008  using a sieve bound of 2196599 (81146 primes)
Sun Dec  7 16:27:27 2008  using large prime bound of 329489850 (28 bits)
Sun Dec  7 16:27:27 2008  using double large prime bound of 2148402323041500 (43-51 bits)
Sun Dec  7 16:27:27 2008  using trial factoring cutoff of 51 bits
Sun Dec  7 16:27:27 2008  polynomial 'A' values have 12 factors
Sun Dec  7 17:49:22 2008  6019 relations (4845 full + 1174 combined from 298966 partial), need 81242
Sun Dec  7 17:49:22 2008  elapsed time 01:21:56
Sun Dec  7 17:49:42 2008  4760 relations (4760 full + 0 combined from 295056 partial), need 81242
Sun Dec  7 17:49:42 2008  elapsed time 01:22:29
Sun Dec  7 17:50:05 2008
Sun Dec  7 17:50:05 2008
Sun Dec  7 17:50:05 2008  Msieve v. 1.39
Sun Dec  7 17:50:05 2008  random seeds: 70f2f3d1 b7dd4591
Sun Dec  7 17:50:05 2008  factoring 78147246912777515997974283233922894218752096417792988789074105139850332446607301544655518272043 (95 digits)
Sun Dec  7 17:50:06 2008  searching for 15-digit factors
Sun Dec  7 17:50:06 2008  commencing quadratic sieve (95-digit input)
Sun Dec  7 17:50:07 2008  using multiplier of 3
Sun Dec  7 17:50:07 2008  using 64kb Opteron sieve core
Sun Dec  7 17:50:07 2008  sieve interval: 18 blocks of size 65536
Sun Dec  7 17:50:07 2008  processing polynomials in batches of 6
Sun Dec  7 17:50:07 2008  using a sieve bound of 2196599 (81146 primes)
Sun Dec  7 17:50:07 2008  using large prime bound of 329489850 (28 bits)
Sun Dec  7 17:50:07 2008  using double large prime bound of 2148402323041500 (43-51 bits)
Sun Dec  7 17:50:07 2008  using trial factoring cutoff of 51 bits
Sun Dec  7 17:50:07 2008  polynomial 'A' values have 12 factors
Sun Dec  7 17:50:07 2008  restarting with 9605 full and 594022 partial relations
Sun Dec  7 17:50:12 2008
Sun Dec  7 17:50:12 2008
Sun Dec  7 17:50:12 2008  Msieve v. 1.39
Sun Dec  7 17:50:12 2008  random seeds: a05eca4c 9a78ecf8
Sun Dec  7 17:50:12 2008  factoring 78147246912777515997974283233922894218752096417792988789074105139850332446607301544655518272043 (95 digits)
Sun Dec  7 17:50:13 2008  searching for 15-digit factors
Sun Dec  7 17:50:13 2008  commencing quadratic sieve (95-digit input)
Sun Dec  7 17:50:13 2008  using multiplier of 3
Sun Dec  7 17:50:13 2008  using 64kb Opteron sieve core
Sun Dec  7 17:50:13 2008  sieve interval: 18 blocks of size 65536
Sun Dec  7 17:50:13 2008  processing polynomials in batches of 6
Sun Dec  7 17:50:13 2008  using a sieve bound of 2196599 (81146 primes)
Sun Dec  7 17:50:13 2008  using large prime bound of 329489850 (28 bits)
Sun Dec  7 17:50:13 2008  using double large prime bound of 2148402323041500 (43-51 bits)
Sun Dec  7 17:50:13 2008  using trial factoring cutoff of 51 bits
Sun Dec  7 17:50:13 2008  polynomial 'A' values have 12 factors
Sun Dec  7 17:50:14 2008  restarting with 4760 full and 295056 partial relations
Sun Dec  7 17:53:50 2008  4992 relations (4992 full + 0 combined from 308433 partial), need 81242
Sun Dec  7 17:53:50 2008  elapsed time 00:03:38
Sun Dec  7 17:53:58 2008
Sun Dec  7 17:53:58 2008
Sun Dec  7 17:53:58 2008  Msieve v. 1.39
Sun Dec  7 17:53:58 2008  random seeds: 6485572e dc777515
Sun Dec  7 17:53:58 2008  factoring 78147246912777515997974283233922894218752096417792988789074105139850332446607301544655518272043 (95 digits)
Sun Dec  7 17:53:59 2008  searching for 15-digit factors
Sun Dec  7 17:54:00 2008  commencing quadratic sieve (95-digit input)
Sun Dec  7 17:54:00 2008  using multiplier of 3
Sun Dec  7 17:54:00 2008  using 64kb Opteron sieve core
Sun Dec  7 17:54:00 2008  sieve interval: 18 blocks of size 65536
Sun Dec  7 17:54:00 2008  processing polynomials in batches of 6
Sun Dec  7 17:54:00 2008  using a sieve bound of 2196599 (81146 primes)
Sun Dec  7 17:54:00 2008  using large prime bound of 329489850 (28 bits)
Sun Dec  7 17:54:00 2008  using double large prime bound of 2148402323041500 (43-51 bits)
Sun Dec  7 17:54:00 2008  using trial factoring cutoff of 51 bits
Sun Dec  7 17:54:00 2008  polynomial 'A' values have 12 factors
Sun Dec  7 18:45:27 2008  3104 relations (3104 full + 0 combined from 194276 partial), need 81242
Sun Dec  7 18:45:27 2008  elapsed time 00:51:29
Sun Dec  7 18:45:30 2008  28866 relations (12746 full + 16120 combined from 797473 partial), need 81242
Sun Dec  7 18:45:30 2008  elapsed time 00:55:25
Sun Dec  7 18:46:11 2008
Sun Dec  7 18:46:11 2008
Sun Dec  7 18:46:11 2008  Msieve v. 1.39
Sun Dec  7 18:46:11 2008  random seeds: edef846a 24c3dbe7
Sun Dec  7 18:46:11 2008  factoring 78147246912777515997974283233922894218752096417792988789074105139850332446607301544655518272043 (95 digits)
Sun Dec  7 18:46:11 2008  searching for 15-digit factors
Sun Dec  7 18:46:12 2008  commencing quadratic sieve (95-digit input)
Sun Dec  7 18:46:12 2008  using multiplier of 3
Sun Dec  7 18:46:12 2008  using 64kb Opteron sieve core
Sun Dec  7 18:46:12 2008  sieve interval: 18 blocks of size 65536
Sun Dec  7 18:46:12 2008  processing polynomials in batches of 6
Sun Dec  7 18:46:12 2008  using a sieve bound of 2196599 (81146 primes)
Sun Dec  7 18:46:12 2008  using large prime bound of 329489850 (28 bits)
Sun Dec  7 18:46:12 2008  using double large prime bound of 2148402323041500 (43-51 bits)
Sun Dec  7 18:46:12 2008  using trial factoring cutoff of 51 bits
Sun Dec  7 18:46:12 2008  polynomial 'A' values have 12 factors
Sun Dec  7 18:46:13 2008  restarting with 15850 full and 991749 partial relations
Sun Dec  7 18:49:30 2008
Sun Dec  7 18:49:30 2008
Sun Dec  7 18:49:30 2008  Msieve v. 1.39
Sun Dec  7 18:49:30 2008  random seeds: f2f6d37b b6eddc32
Sun Dec  7 18:49:30 2008  factoring 78147246912777515997974283233922894218752096417792988789074105139850332446607301544655518272043 (95 digits)
Sun Dec  7 18:49:30 2008  searching for 15-digit factors
Sun Dec  7 18:49:31 2008  commencing quadratic sieve (95-digit input)
Sun Dec  7 18:49:31 2008  using multiplier of 3
Sun Dec  7 18:49:31 2008  using 64kb Opteron sieve core
Sun Dec  7 18:49:31 2008  sieve interval: 18 blocks of size 65536
Sun Dec  7 18:49:31 2008  processing polynomials in batches of 6
Sun Dec  7 18:49:31 2008  using a sieve bound of 2196599 (81146 primes)
Sun Dec  7 18:49:31 2008  using large prime bound of 329489850 (28 bits)
Sun Dec  7 18:49:31 2008  using double large prime bound of 2148402323041500 (43-51 bits)
Sun Dec  7 18:49:31 2008  using trial factoring cutoff of 51 bits
Sun Dec  7 18:49:31 2008  polynomial 'A' values have 12 factors
Sun Dec  7 19:43:14 2008  79041 relations (19345 full + 59696 combined from 1210075 partial), need 81242
Sun Dec  7 19:43:14 2008  elapsed time 00:57:03
Sun Dec  7 19:43:18 2008  3309 relations (3309 full + 0 combined from 204475 partial), need 81242
Sun Dec  7 19:43:18 2008  elapsed time 00:53:48
Sun Dec  7 19:43:26 2008
Sun Dec  7 19:43:26 2008
Sun Dec  7 19:43:26 2008  Msieve v. 1.39
Sun Dec  7 19:43:26 2008  random seeds: 865ca451 35158040
Sun Dec  7 19:43:26 2008  factoring 78147246912777515997974283233922894218752096417792988789074105139850332446607301544655518272043 (95 digits)
Sun Dec  7 19:43:26 2008  searching for 15-digit factors
Sun Dec  7 19:43:27 2008  commencing quadratic sieve (95-digit input)
Sun Dec  7 19:43:27 2008  using multiplier of 3
Sun Dec  7 19:43:27 2008  using 64kb Opteron sieve core
Sun Dec  7 19:43:27 2008  sieve interval: 18 blocks of size 65536
Sun Dec  7 19:43:27 2008  processing polynomials in batches of 6
Sun Dec  7 19:43:27 2008  using a sieve bound of 2196599 (81146 primes)
Sun Dec  7 19:43:27 2008  using large prime bound of 329489850 (28 bits)
Sun Dec  7 19:43:27 2008  using double large prime bound of 2148402323041500 (43-51 bits)
Sun Dec  7 19:43:27 2008  using trial factoring cutoff of 51 bits
Sun Dec  7 19:43:27 2008  polynomial 'A' values have 12 factors
Sun Dec  7 19:43:28 2008  restarting with 22654 full and 1414550 partial relations
Sun Dec  7 19:43:28 2008  119699 relations (22654 full + 97045 combined from 1414550 partial), need 81242
Sun Dec  7 19:43:29 2008  begin with 1437204 relations
Sun Dec  7 19:43:31 2008  reduce to 316559 relations in 11 passes
Sun Dec  7 19:43:31 2008  attempting to read 316559 relations
Sun Dec  7 19:43:34 2008  recovered 316559 relations
Sun Dec  7 19:43:34 2008  recovered 292182 polynomials
Sun Dec  7 19:43:34 2008  attempting to build 119699 cycles
Sun Dec  7 19:43:34 2008  found 119699 cycles in 6 passes
Sun Dec  7 19:43:34 2008  distribution of cycle lengths:
Sun Dec  7 19:43:34 2008     length 1 : 22654
Sun Dec  7 19:43:34 2008     length 2 : 18504
Sun Dec  7 19:43:34 2008     length 3 : 20280
Sun Dec  7 19:43:34 2008     length 4 : 17688
Sun Dec  7 19:43:34 2008     length 5 : 14417
Sun Dec  7 19:43:34 2008     length 6 : 10278
Sun Dec  7 19:43:34 2008     length 7 : 6738
Sun Dec  7 19:43:34 2008     length 9+: 9140
Sun Dec  7 19:43:34 2008  largest cycle: 21 relations
Sun Dec  7 19:43:35 2008  matrix is 81146 x 119699 (37.0 MB) with weight 8736674 (72.99/col)
Sun Dec  7 19:43:35 2008  sparse part has weight 8736674 (72.99/col)
Sun Dec  7 19:43:38 2008  filtering completed in 4 passes
Sun Dec  7 19:43:38 2008  matrix is 74044 x 74108 (17.5 MB) with weight 4003119 (54.02/col)
Sun Dec  7 19:43:38 2008  sparse part has weight 4003119 (54.02/col)
Sun Dec  7 19:43:38 2008  saving the first 48 matrix rows for later
Sun Dec  7 19:43:38 2008  matrix is 73996 x 74108 (12.4 MB) with weight 3237909 (43.69/col)
Sun Dec  7 19:43:38 2008  sparse part has weight 2512684 (33.91/col)
Sun Dec  7 19:43:38 2008  matrix includes 64 packed rows
Sun Dec  7 19:43:38 2008  using block size 10922 for processor cache size 256 kB
Sun Dec  7 19:43:38 2008  commencing Lanczos iteration
Sun Dec  7 19:43:38 2008  memory use: 11.0 MB
Sun Dec  7 19:44:13 2008  lanczos halted after 1171 iterations (dim = 73996)
Sun Dec  7 19:44:13 2008  recovered 18 nontrivial dependencies
Sun Dec  7 19:44:15 2008  prp35 factor: 64818012805041651210696411371692207
Sun Dec  7 19:44:15 2008  prp61 factor: 1205640894111136574747224703848636622066787269446361488487749
Sun Dec  7 19:44:15 2008  elapsed time 00:00:49
software ソフトウェア
msieve 1.39
execution environment 実行環境
Athlon 64x2 3600, 3 GB RAM, Ubuntu linux

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 15, 2008 15:00:00 UTC 2008 年 11 月 16 日 (日) 0 時 0 分 0 秒 (日本時間)

29×10103+619

c88

name 名前Sinkiti Sibata
date 日付November 16, 2008 00:27:15 UTC 2008 年 11 月 16 日 (日) 9 時 27 分 15 秒 (日本時間)
composite number 合成数
3886202181846600488926048772833634100539737551849176875626859169440252679270183610486577<88>
prime factors 素因数
13955405739252974791819323206909<32>
278472891040044154124888430675886431365951225649379875653<57>
factorization results 素因数分解の結果
Sun Nov 16 07:43:35 2008  Msieve v. 1.38
Sun Nov 16 07:43:35 2008  random seeds: 55ae4f0c d5804962
Sun Nov 16 07:43:35 2008  factoring 3886202181846600488926048772833634100539737551849176875626859169440252679270183610486577 (88 digits)
Sun Nov 16 07:43:37 2008  searching for 15-digit factors
Sun Nov 16 07:43:39 2008  commencing quadratic sieve (88-digit input)
Sun Nov 16 07:43:39 2008  using multiplier of 1
Sun Nov 16 07:43:39 2008  using 64kb Pentium 4 sieve core
Sun Nov 16 07:43:39 2008  sieve interval: 13 blocks of size 65536
Sun Nov 16 07:43:39 2008  processing polynomials in batches of 8
Sun Nov 16 07:43:39 2008  using a sieve bound of 1517707 (57413 primes)
Sun Nov 16 07:43:39 2008  using large prime bound of 121416560 (26 bits)
Sun Nov 16 07:43:39 2008  using double large prime bound of 356205104400640 (42-49 bits)
Sun Nov 16 07:43:39 2008  using trial factoring cutoff of 49 bits
Sun Nov 16 07:43:39 2008  polynomial 'A' values have 11 factors
Sun Nov 16 09:12:50 2008  57725 relations (15367 full + 42358 combined from 612926 partial), need 57509
Sun Nov 16 09:12:53 2008  begin with 628293 relations
Sun Nov 16 09:12:53 2008  reduce to 140381 relations in 11 passes
Sun Nov 16 09:12:53 2008  attempting to read 140381 relations
Sun Nov 16 09:12:57 2008  recovered 140381 relations
Sun Nov 16 09:12:57 2008  recovered 118548 polynomials
Sun Nov 16 09:12:57 2008  attempting to build 57725 cycles
Sun Nov 16 09:12:57 2008  found 57725 cycles in 6 passes
Sun Nov 16 09:12:57 2008  distribution of cycle lengths:
Sun Nov 16 09:12:57 2008     length 1 : 15367
Sun Nov 16 09:12:57 2008     length 2 : 11258
Sun Nov 16 09:12:57 2008     length 3 : 10201
Sun Nov 16 09:12:57 2008     length 4 : 7596
Sun Nov 16 09:12:57 2008     length 5 : 5450
Sun Nov 16 09:12:57 2008     length 6 : 3418
Sun Nov 16 09:12:57 2008     length 7 : 2045
Sun Nov 16 09:12:57 2008     length 9+: 2390
Sun Nov 16 09:12:57 2008  largest cycle: 20 relations
Sun Nov 16 09:12:58 2008  matrix is 57413 x 57725 (13.7 MB) with weight 3348390 (58.01/col)
Sun Nov 16 09:12:58 2008  sparse part has weight 3348390 (58.01/col)
Sun Nov 16 09:12:59 2008  filtering completed in 3 passes
Sun Nov 16 09:12:59 2008  matrix is 53477 x 53540 (12.7 MB) with weight 3122622 (58.32/col)
Sun Nov 16 09:12:59 2008  sparse part has weight 3122622 (58.32/col)
Sun Nov 16 09:12:59 2008  saving the first 48 matrix rows for later
Sun Nov 16 09:12:59 2008  matrix is 53429 x 53540 (8.5 MB) with weight 2501947 (46.73/col)
Sun Nov 16 09:12:59 2008  sparse part has weight 1919087 (35.84/col)
Sun Nov 16 09:12:59 2008  matrix includes 64 packed rows
Sun Nov 16 09:12:59 2008  using block size 21416 for processor cache size 512 kB
Sun Nov 16 09:13:00 2008  commencing Lanczos iteration
Sun Nov 16 09:13:00 2008  memory use: 8.2 MB
Sun Nov 16 09:13:30 2008  lanczos halted after 846 iterations (dim = 53429)
Sun Nov 16 09:13:30 2008  recovered 17 nontrivial dependencies
Sun Nov 16 09:13:31 2008  prp32 factor: 13955405739252974791819323206909
Sun Nov 16 09:13:31 2008  prp57 factor: 278472891040044154124888430675886431365951225649379875653
Sun Nov 16 09:13:31 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 KamadaNovember 15, 2008 15:00:00 UTC 2008 年 11 月 16 日 (日) 0 時 0 分 0 秒 (日本時間)

29×10104+619

c102

name 名前Serge Batalov
date 日付November 15, 2008 21:09:03 UTC 2008 年 11 月 16 日 (日) 6 時 9 分 3 秒 (日本時間)
composite number 合成数
648334451151352559803264028616141292197630225799239883746926000447127207690587972278113123183545718757<102>
prime factors 素因数
14751591942611498717745397159<29>
41209480987075384610005546822286843<35>
1066505413986600338073968613179955167561<40>
factorization results 素因数分解の結果
SNFS difficulty: 105 digits.
Divisors found:
 r1=14751591942611498717745397159 (pp29)
 r2=41209480987075384610005546822286843 (pp35)
 r3=1066505413986600338073968613179955167561 (pp40)
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.712).
Factorization parameters were as follows:
n: 648334451151352559803264028616141292197630225799239883746926000447127207690587972278113123183545718757
m: 100000000000000000000000000
deg: 4
c4: 29
c0: 61
skew: 1.20
type: snfs
lss: 1
rlim: 400000
alim: 400000
lpbr: 25
lpba: 25
Factor base limits: 400000/400000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [200000, 260001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 33864 x 34074
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,105,4,0,0,0,0,0,0,0,0,400000,400000,25,25,44,44,2.2,2.2,20000
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 KamadaNovember 15, 2008 15:00:00 UTC 2008 年 11 月 16 日 (日) 0 時 0 分 0 秒 (日本時間)

29×10109+619

c86

name 名前Erik Branger
date 日付November 15, 2008 19:04:37 UTC 2008 年 11 月 16 日 (日) 4 時 4 分 37 秒 (日本時間)
composite number 合成数
49302484215999017457519029556422881048788318162661963404252646628561929655487777139591<86>
prime factors 素因数
650901737212776005468142288693299353882937<42>
75744895730524561665714325673543185447690943<44>
factorization results 素因数分解の結果
Sat Nov 15 19:25:48 2008  Msieve v. 1.38
Sat Nov 15 19:25:48 2008  random seeds: f6a352b0 53563743
Sat Nov 15 19:25:48 2008  factoring 49302484215999017457519029556422881048788318162661963404252646628561929655487777139591 (86 digits)
Sat Nov 15 19:25:49 2008  searching for 15-digit factors
Sat Nov 15 19:25:50 2008  commencing quadratic sieve (86-digit input)
Sat Nov 15 19:25:50 2008  using multiplier of 1
Sat Nov 15 19:25:50 2008  using 32kb Intel Core sieve core
Sat Nov 15 19:25:50 2008  sieve interval: 16 blocks of size 32768
Sat Nov 15 19:25:50 2008  processing polynomials in batches of 13
Sat Nov 15 19:25:50 2008  using a sieve bound of 1457683 (55667 primes)
Sat Nov 15 19:25:50 2008  using large prime bound of 116614640 (26 bits)
Sat Nov 15 19:25:50 2008  using double large prime bound of 331249715652000 (41-49 bits)
Sat Nov 15 19:25:50 2008  using trial factoring cutoff of 49 bits
Sat Nov 15 19:25:50 2008  polynomial 'A' values have 11 factors
Sat Nov 15 20:02:11 2008  55832 relations (16024 full + 39808 combined from 583767 partial), need 55763
Sat Nov 15 20:02:12 2008  begin with 599791 relations
Sat Nov 15 20:02:12 2008  reduce to 132574 relations in 9 passes
Sat Nov 15 20:02:12 2008  attempting to read 132574 relations
Sat Nov 15 20:02:14 2008  recovered 132574 relations
Sat Nov 15 20:02:14 2008  recovered 109344 polynomials
Sat Nov 15 20:02:14 2008  attempting to build 55832 cycles
Sat Nov 15 20:02:14 2008  found 55832 cycles in 5 passes
Sat Nov 15 20:02:14 2008  distribution of cycle lengths:
Sat Nov 15 20:02:14 2008     length 1 : 16024
Sat Nov 15 20:02:14 2008     length 2 : 11211
Sat Nov 15 20:02:14 2008     length 3 : 9906
Sat Nov 15 20:02:14 2008     length 4 : 7001
Sat Nov 15 20:02:14 2008     length 5 : 4890
Sat Nov 15 20:02:14 2008     length 6 : 3061
Sat Nov 15 20:02:14 2008     length 7 : 1767
Sat Nov 15 20:02:14 2008     length 9+: 1972
Sat Nov 15 20:02:14 2008  largest cycle: 16 relations
Sat Nov 15 20:02:14 2008  matrix is 55667 x 55832 (12.0 MB) with weight 2931997 (52.51/col)
Sat Nov 15 20:02:14 2008  sparse part has weight 2931997 (52.51/col)
Sat Nov 15 20:02:14 2008  filtering completed in 3 passes
Sat Nov 15 20:02:14 2008  matrix is 50974 x 51038 (11.1 MB) with weight 2709335 (53.08/col)
Sat Nov 15 20:02:14 2008  sparse part has weight 2709335 (53.08/col)
Sat Nov 15 20:02:15 2008  saving the first 48 matrix rows for later
Sat Nov 15 20:02:15 2008  matrix is 50926 x 51038 (6.1 MB) with weight 1988059 (38.95/col)
Sat Nov 15 20:02:15 2008  sparse part has weight 1294362 (25.36/col)
Sat Nov 15 20:02:15 2008  matrix includes 64 packed rows
Sat Nov 15 20:02:15 2008  using block size 20415 for processor cache size 2048 kB
Sat Nov 15 20:02:15 2008  commencing Lanczos iteration
Sat Nov 15 20:02:15 2008  memory use: 6.7 MB
Sat Nov 15 20:02:28 2008  lanczos halted after 807 iterations (dim = 50918)
Sat Nov 15 20:02:28 2008  recovered 13 nontrivial dependencies
Sat Nov 15 20:02:29 2008  prp42 factor: 650901737212776005468142288693299353882937
Sat Nov 15 20:02:29 2008  prp44 factor: 75744895730524561665714325673543185447690943
Sat Nov 15 20:02:29 2008  elapsed time 00:36:41
software ソフトウェア
Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 15, 2008 15:00:00 UTC 2008 年 11 月 16 日 (日) 0 時 0 分 0 秒 (日本時間)

29×10111+619

c85

name 名前Robert Backstrom
date 日付November 16, 2008 03:45:42 UTC 2008 年 11 月 16 日 (日) 12 時 45 分 42 秒 (日本時間)
composite number 合成数
1825709474543267205420856555959842362192321944249866230555968943131807164817224672711<85>
prime factors 素因数
276993852075149363427098229130204721<36>
6591155221914261426440632501639332054792978851191<49>
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 1825709474543267205420856555959842362192321944249866230555968943131807164817224672711 (85 digits)
Using B1=2950000, B2=4281751120, polynomial Dickson(6), sigma=4015980292
Step 1 took 15688ms
Step 2 took 7359ms
********** Factor found in step 2: 276993852075149363427098229130204721
Found probable prime factor of 36 digits: 276993852075149363427098229130204721
Probable prime cofactor 6591155221914261426440632501639332054792978851191 has 49 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 15, 2008 15:00:00 UTC 2008 年 11 月 16 日 (日) 0 時 0 分 0 秒 (日本時間)

29×10112+619

c101

name 名前Justin Card
date 日付November 16, 2008 00:34:41 UTC 2008 年 11 月 16 日 (日) 9 時 34 分 41 秒 (日本時間)
composite number 合成数
11698841840489508014434081186604843067304024535141148500613325712108587327498587470710278150242319689<101>
prime factors 素因数
21348808706404288248596941574025542992564873<44>
547985698001970931910634724148480216575854589619614950593<57>
factorization results 素因数分解の結果
Sat Nov 15 18:09:25 2008
Sat Nov 15 18:09:25 2008
Sat Nov 15 18:09:25 2008  Msieve v. 1.38
Sat Nov 15 18:09:25 2008  random seeds: 218a7e97 15c2ba48
Sat Nov 15 18:09:25 2008  factoring 11698841840489508014434081186604843067304024535141148500613325712108587327498587470710278150242319689 (101 digits)
Sat Nov 15 18:09:26 2008  no P-1/P+1/ECM available, skipping
Sat Nov 15 18:09:26 2008  commencing number field sieve (101-digit input)
Sat Nov 15 18:09:26 2008  R0: -20000000000000000000000
Sat Nov 15 18:09:26 2008  R1:  1
Sat Nov 15 18:09:26 2008  A0:  488
Sat Nov 15 18:09:26 2008  A1:  0
Sat Nov 15 18:09:26 2008  A2:  0
Sat Nov 15 18:09:26 2008  A3:  0
Sat Nov 15 18:09:26 2008  A4:  0
Sat Nov 15 18:09:26 2008  A5:  725
Sat Nov 15 18:09:26 2008  size score = 2.241186e-08, Murphy alpha = 0.280014, combined = 2.041464e-08
Sat Nov 15 18:09:26 2008  generating factor base
Sat Nov 15 18:09:26 2008  factor base complete:
Sat Nov 15 18:09:26 2008  46072 rational roots (max prime = 559991)
Sat Nov 15 18:09:26 2008  46427 algebraic roots (max prime = 559973)
Sat Nov 15 18:09:26 2008  a range: [-2000000, 2000000]
Sat Nov 15 18:09:26 2008  b range: [1, 200]
Sat Nov 15 18:09:26 2008  number of hash buckets: 9
Sat Nov 15 18:09:26 2008  sieve block size: 65536
Sat Nov 15 18:09:26 2008
Sat Nov 15 18:09:26 2008  maximum RFB prime: 559991
Sat Nov 15 18:09:26 2008  RFB entries: 46072
Sat Nov 15 18:09:26 2008  medium RFB entries: 6542
Sat Nov 15 18:09:26 2008  resieved RFB entries: 6374
Sat Nov 15 18:09:26 2008  small RFB prime powers: 28
Sat Nov 15 18:09:26 2008  projective RFB roots: 0
Sat Nov 15 18:09:26 2008  RFB trial factoring cutoff: 52 or 77 bits
Sat Nov 15 18:09:26 2008  single large prime RFB range: 19 - 25 bits
Sat Nov 15 18:09:26 2008  double large prime RFB range: 39 - 48 bits
Sat Nov 15 18:09:26 2008  triple large prime RFB range: 60 - 73 bits
Sat Nov 15 18:09:26 2008
Sat Nov 15 18:09:26 2008  maximum AFB prime: 559973
Sat Nov 15 18:09:26 2008  AFB entries: 46427
Sat Nov 15 18:09:26 2008  medium AFB entries: 6538
Sat Nov 15 18:09:26 2008  resieved AFB entries: 6349
Sat Nov 15 18:09:26 2008  small AFB prime powers: 18
Sat Nov 15 18:09:26 2008  projective AFB roots: 2
Sat Nov 15 18:09:26 2008  AFB trial factoring cutoff: 52 or 77 bits
Sat Nov 15 18:09:26 2008  single large prime AFB range: 19 - 25 bits
Sat Nov 15 18:09:26 2008  double large prime AFB range: 39 - 48 bits
Sat Nov 15 18:09:26 2008  triple large prime AFB range: 60 - 73 bits
Sat Nov 15 18:09:26 2008
Sat Nov 15 18:09:26 2008  multiplying 518093 primes from 559973 to 8388608
Sat Nov 15 18:09:28 2008  multiply complete, product has 11290805 bits
Sat Nov 15 18:10:25 2008  completed b = 200, found 22538 relations
Sat Nov 15 18:10:25 2008  elapsed time 00:01:00
-> makeJobFile(): Adjusted to q0=280000, q1=330000.
->               client 1 q0: 280000
-> makeJobFile(): Adjusted to q0=330001, q1=380000.
->               client 1 q0: 330001
-> makeJobFile(): Adjusted to q0=380001, q1=430000.
->               client 1 q0: 380001
...
Sat Nov 15 18:32:28 2008
Sat Nov 15 18:32:28 2008
Sat Nov 15 18:32:28 2008  Msieve v. 1.38
Sat Nov 15 18:32:28 2008  random seeds: f76655f8 ef663562
Sat Nov 15 18:32:28 2008  factoring 11698841840489508014434081186604843067304024535141148500613325712108587327498587470710278150242319689 (101 digits)
Sat Nov 15 18:32:29 2008  no P-1/P+1/ECM available, skipping
Sat Nov 15 18:32:29 2008  commencing number field sieve (101-digit input)
Sat Nov 15 18:32:29 2008  R0: -20000000000000000000000
Sat Nov 15 18:32:29 2008  R1:  1
Sat Nov 15 18:32:29 2008  A0:  488
Sat Nov 15 18:32:29 2008  A1:  0
Sat Nov 15 18:32:29 2008  A2:  0
Sat Nov 15 18:32:29 2008  A3:  0
Sat Nov 15 18:32:29 2008  A4:  0
Sat Nov 15 18:32:29 2008  A5:  725
Sat Nov 15 18:32:29 2008  size score = 2.241186e-08, Murphy alpha = 0.280014, combined = 2.041464e-08
Sat Nov 15 18:32:29 2008
Sat Nov 15 18:32:29 2008  commencing relation filtering
Sat Nov 15 18:32:29 2008  commencing duplicate removal, pass 1
Sat Nov 15 18:32:29 2008  error -9 reading relation 59
Sat Nov 15 18:32:44 2008  found 63675 hash collisions in 1248000 relations
Sat Nov 15 18:32:48 2008  added 7620 free relations
Sat Nov 15 18:32:48 2008  commencing duplicate removal, pass 2
Sat Nov 15 18:32:49 2008  found 63659 duplicates and 1191961 unique relations
Sat Nov 15 18:32:49 2008  memory use: 36.9 MB
Sat Nov 15 18:32:49 2008  reading rational ideals above 458752
Sat Nov 15 18:32:49 2008  reading algebraic ideals above 458752
Sat Nov 15 18:32:49 2008  commencing singleton removal, pass 1
Sat Nov 15 18:33:04 2008  relations with 0 large ideals: 17696
Sat Nov 15 18:33:04 2008  relations with 1 large ideals: 173887
Sat Nov 15 18:33:04 2008  relations with 2 large ideals: 515230
Sat Nov 15 18:33:04 2008  relations with 3 large ideals: 324501
Sat Nov 15 18:33:04 2008  relations with 4 large ideals: 79115
Sat Nov 15 18:33:04 2008  relations with 5 large ideals: 9087
Sat Nov 15 18:33:04 2008  relations with 6 large ideals: 72432
Sat Nov 15 18:33:04 2008  relations with 7+ large ideals: 13
Sat Nov 15 18:33:04 2008  1191961 relations and about 1443170 large ideals
Sat Nov 15 18:33:04 2008  commencing singleton removal, pass 2
Sat Nov 15 18:33:19 2008  found 685993 singletons
Sat Nov 15 18:33:19 2008  current dataset: 505968 relations and about 411140 large ideals
Sat Nov 15 18:33:19 2008  commencing singleton removal, pass 3
Sat Nov 15 18:33:25 2008  found 143942 singletons
Sat Nov 15 18:33:25 2008  current dataset: 362026 relations and about 255076 large ideals
Sat Nov 15 18:33:25 2008  commencing singleton removal, final pass
Sat Nov 15 18:33:29 2008  memory use: 11.7 MB
Sat Nov 15 18:33:29 2008  commencing in-memory singleton removal
Sat Nov 15 18:33:29 2008  begin with 362026 relations and 257434 unique ideals
Sat Nov 15 18:33:30 2008  reduce to 320101 relations and 214542 ideals in 9 passes
Sat Nov 15 18:33:30 2008  max relations containing the same ideal: 41
Sat Nov 15 18:33:30 2008  reading rational ideals above 229376
Sat Nov 15 18:33:30 2008  reading algebraic ideals above 229376
Sat Nov 15 18:33:30 2008  commencing singleton removal, final pass
Sat Nov 15 18:33:34 2008  keeping 285136 ideals with weight <= 20, new excess is 52070
Sat Nov 15 18:33:34 2008  memory use: 11.7 MB
Sat Nov 15 18:33:34 2008  commencing in-memory singleton removal
Sat Nov 15 18:33:34 2008  begin with 327721 relations and 285136 unique ideals
Sat Nov 15 18:33:34 2008  reduce to 320027 relations and 239459 ideals in 4 passes
Sat Nov 15 18:33:34 2008  max relations containing the same ideal: 20
Sat Nov 15 18:33:35 2008  removing 51059 relations and 40976 ideals in 10083 cliques
Sat Nov 15 18:33:35 2008  commencing in-memory singleton removal
Sat Nov 15 18:33:35 2008  begin with 268968 relations and 239459 unique ideals
Sat Nov 15 18:33:35 2008  reduce to 265294 relations and 194677 ideals in 6 passes
Sat Nov 15 18:33:35 2008  max relations containing the same ideal: 20
Sat Nov 15 18:33:35 2008  removing 38841 relations and 28758 ideals in 10083 cliques
Sat Nov 15 18:33:35 2008  commencing in-memory singleton removal
Sat Nov 15 18:33:35 2008  begin with 226453 relations and 194677 unique ideals
Sat Nov 15 18:33:35 2008  reduce to 223585 relations and 162960 ideals in 6 passes
Sat Nov 15 18:33:35 2008  max relations containing the same ideal: 20
Sat Nov 15 18:33:35 2008  relations with 0 large ideals: 5758
Sat Nov 15 18:33:35 2008  relations with 1 large ideals: 30159
Sat Nov 15 18:33:35 2008  relations with 2 large ideals: 65781
Sat Nov 15 18:33:35 2008  relations with 3 large ideals: 67806
Sat Nov 15 18:33:35 2008  relations with 4 large ideals: 37624
Sat Nov 15 18:33:35 2008  relations with 5 large ideals: 12603
Sat Nov 15 18:33:35 2008  relations with 6 large ideals: 3578
Sat Nov 15 18:33:35 2008  relations with 7+ large ideals: 276
Sat Nov 15 18:33:35 2008  commencing 2-way merge
Sat Nov 15 18:33:36 2008  reduce to 148691 relation sets and 88066 unique ideals
Sat Nov 15 18:33:36 2008  commencing full merge
Sat Nov 15 18:33:38 2008  memory use: 8.5 MB
Sat Nov 15 18:33:38 2008  found 71214 cycles, need 64266
Sat Nov 15 18:33:38 2008  weight of 64266 cycles is about 4962297 (77.21/cycle)
Sat Nov 15 18:33:38 2008  distribution of cycle lengths:
Sat Nov 15 18:33:38 2008  1 relations: 6680
Sat Nov 15 18:33:38 2008  2 relations: 4853
Sat Nov 15 18:33:38 2008  3 relations: 4936
Sat Nov 15 18:33:38 2008  4 relations: 4889
Sat Nov 15 18:33:38 2008  5 relations: 4903
Sat Nov 15 18:33:38 2008  6 relations: 4875
Sat Nov 15 18:33:38 2008  7 relations: 4593
Sat Nov 15 18:33:38 2008  8 relations: 4278
Sat Nov 15 18:33:38 2008  9 relations: 3838
Sat Nov 15 18:33:38 2008  10+ relations: 20421
Sat Nov 15 18:33:38 2008  heaviest cycle: 21 relations
Sat Nov 15 18:33:38 2008  commencing cycle optimization
Sat Nov 15 18:33:38 2008  start with 472140 relations
Sat Nov 15 18:33:39 2008  pruned 29547 relations
Sat Nov 15 18:33:39 2008  memory use: 12.9 MB
Sat Nov 15 18:33:39 2008  distribution of cycle lengths:
Sat Nov 15 18:33:39 2008  1 relations: 6680
Sat Nov 15 18:33:39 2008  2 relations: 5031
Sat Nov 15 18:33:39 2008  3 relations: 5275
Sat Nov 15 18:33:39 2008  4 relations: 5267
Sat Nov 15 18:33:39 2008  5 relations: 5379
Sat Nov 15 18:33:39 2008  6 relations: 5261
Sat Nov 15 18:33:39 2008  7 relations: 4932
Sat Nov 15 18:33:39 2008  8 relations: 4655
Sat Nov 15 18:33:39 2008  9 relations: 4114
Sat Nov 15 18:33:39 2008  10+ relations: 17672
Sat Nov 15 18:33:39 2008  heaviest cycle: 21 relations
Sat Nov 15 18:33:39 2008  elapsed time 00:01:11
Sat Nov 15 18:33:39 2008
Sat Nov 15 18:33:39 2008
Sat Nov 15 18:33:39 2008  Msieve v. 1.38
Sat Nov 15 18:33:39 2008  random seeds: bb1f69ce 1efc98ad
Sat Nov 15 18:33:39 2008  factoring 11698841840489508014434081186604843067304024535141148500613325712108587327498587470710278150242319689 (101 digits)
Sat Nov 15 18:33:40 2008  no P-1/P+1/ECM available, skipping
Sat Nov 15 18:33:40 2008  commencing number field sieve (101-digit input)
Sat Nov 15 18:33:40 2008  R0: -20000000000000000000000
Sat Nov 15 18:33:40 2008  R1:  1
Sat Nov 15 18:33:40 2008  A0:  488
Sat Nov 15 18:33:40 2008  A1:  0
Sat Nov 15 18:33:40 2008  A2:  0
Sat Nov 15 18:33:40 2008  A3:  0
Sat Nov 15 18:33:40 2008  A4:  0
Sat Nov 15 18:33:40 2008  A5:  725
Sat Nov 15 18:33:40 2008  size score = 2.241186e-08, Murphy alpha = 0.280014, combined = 2.041464e-08
Sat Nov 15 18:33:40 2008
Sat Nov 15 18:33:40 2008  commencing linear algebra
Sat Nov 15 18:33:40 2008  read 64266 cycles
Sat Nov 15 18:33:40 2008  cycles contain 194789 unique relations
Sat Nov 15 18:33:43 2008  read 194789 relations
Sat Nov 15 18:33:43 2008  using 32 quadratic characters above 33549128
Sat Nov 15 18:33:46 2008  building initial matrix
Sat Nov 15 18:33:49 2008  memory use: 30.8 MB
Sat Nov 15 18:33:49 2008  read 64266 cycles
Sat Nov 15 18:33:49 2008  matrix is 64090 x 64266 (19.8 MB) with weight 6291711 (97.90/col)
Sat Nov 15 18:33:49 2008  sparse part has weight 4485523 (69.80/col)
Sat Nov 15 18:33:50 2008  filtering completed in 2 passes
Sat Nov 15 18:33:50 2008  matrix is 63969 x 64145 (19.8 MB) with weight 6283910 (97.96/col)
Sat Nov 15 18:33:50 2008  sparse part has weight 4481088 (69.86/col)
Sat Nov 15 18:33:50 2008  read 64145 cycles
Sat Nov 15 18:33:50 2008  matrix is 63969 x 64145 (19.8 MB) with weight 6283910 (97.96/col)
Sat Nov 15 18:33:50 2008  sparse part has weight 4481088 (69.86/col)
Sat Nov 15 18:33:50 2008  saving the first 48 matrix rows for later
Sat Nov 15 18:33:50 2008  matrix is 63921 x 64145 (18.7 MB) with weight 4867505 (75.88/col)
Sat Nov 15 18:33:50 2008  sparse part has weight 4263391 (66.46/col)
Sat Nov 15 18:33:50 2008  matrix includes 64 packed rows
Sat Nov 15 18:33:50 2008  using block size 10922 for processor cache size 256 kB
Sat Nov 15 18:33:51 2008  commencing Lanczos iteration
Sat Nov 15 18:33:51 2008  memory use: 16.6 MB
Sat Nov 15 18:34:31 2008  lanczos halted after 1012 iterations (dim = 63917)
Sat Nov 15 18:34:32 2008  recovered 47 nontrivial dependencies
Sat Nov 15 18:34:32 2008  elapsed time 00:00:53
Sat Nov 15 18:34:32 2008
Sat Nov 15 18:34:32 2008
Sat Nov 15 18:34:32 2008  Msieve v. 1.38
Sat Nov 15 18:34:32 2008  random seeds: cb8bea23 c471f78a
Sat Nov 15 18:34:32 2008  factoring 11698841840489508014434081186604843067304024535141148500613325712108587327498587470710278150242319689 (101 digits)
Sat Nov 15 18:34:32 2008  no P-1/P+1/ECM available, skipping
Sat Nov 15 18:34:32 2008  commencing number field sieve (101-digit input)
Sat Nov 15 18:34:32 2008  R0: -20000000000000000000000
Sat Nov 15 18:34:32 2008  R1:  1
Sat Nov 15 18:34:32 2008  A0:  488
Sat Nov 15 18:34:32 2008  A1:  0
Sat Nov 15 18:34:32 2008  A2:  0
Sat Nov 15 18:34:32 2008  A3:  0
Sat Nov 15 18:34:32 2008  A4:  0
Sat Nov 15 18:34:32 2008  A5:  725
Sat Nov 15 18:34:32 2008  size score = 2.241186e-08, Murphy alpha = 0.280014, combined = 2.041464e-08
Sat Nov 15 18:34:32 2008
Sat Nov 15 18:34:32 2008  commencing square root phase
Sat Nov 15 18:34:32 2008  reading relations for dependency 1
Sat Nov 15 18:34:32 2008  read 32049 cycles
Sat Nov 15 18:34:33 2008  cycles contain 123676 unique relations
Sat Nov 15 18:34:34 2008  read 123676 relations
Sat Nov 15 18:34:35 2008  multiplying 97168 relations
Sat Nov 15 18:34:44 2008  multiply complete, coefficients have about 2.74 million bits
Sat Nov 15 18:34:44 2008  initial square root is modulo 2061551
Sat Nov 15 18:35:00 2008  prp44 factor: 21348808706404288248596941574025542992564873
Sat Nov 15 18:35:00 2008  prp57 factor: 547985698001970931910634724148480216575854589619614950593
Sat Nov 15 18:35:00 2008  elapsed time 00:00:28
software ソフトウェア
ggnfs/msieve
execution environment 実行環境
Athlon 64x2 2800, 3GB RAM, Linux

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 15, 2008 15:00:00 UTC 2008 年 11 月 16 日 (日) 0 時 0 分 0 秒 (日本時間)

29×10114+619

c100

name 名前Justin Card
date 日付December 7, 2008 20:31:42 UTC 2008 年 12 月 8 日 (月) 5 時 31 分 42 秒 (日本時間)
composite number 合成数
2437761104113242789158014351988528630173349071448713576584407698125610142992752078271723965821183233<100>
prime factors 素因数
13627837353418736230548561825683197<35>
178880994899876454053601851276075491188480810887295136045474447189<66>
factorization results 素因数分解の結果
Number: 32229_114
N=2437761104113242789158014351988528630173349071448713576584407698125610142992752078271723965821183233
  ( 100 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=13627837353418736230548561825683197
 r2=178880994899876454053601851276075491188480810887295136045474447189
Version:
Total time: 0.38 hours.
Scaled time: 0.00 units (timescale=2.093).
Factorization parameters were as follows:
n: 2437761104113242789158014351988528630173349071448713576584407698125610142992752078271723965821183233
m: 50000000000000000000000
deg: 5
c5: 464
c0: 305
skew: 0.92
type: snfs
lss: 1
rlim: 600000
alim: 600000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2

Factor base limits: 600000/600000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [300000, 450001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 60867 x 61101
Total sieving time: 0.00 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,116,5,0,0,0,0,0,0,0,0,600000,600000,25,25,45,45,2.2,2.2,50000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[   26.316871] Memory: 3054544k/3111872k available (2523k kernel code, 56940k reserved, 1328k data, 328k init)
[   26.463157] Calibrating delay using timer specific routine.. 3982.78 BogoMIPS (lpj=19913938)
[   27.245296] Calibrating delay using timer specific routine.. 3979.63 BogoMIPS (lpj=19898169)
software ソフトウェア
GGNFS, msieve
execution environment 実行環境
Athlon 64 x2 2600, 3 GB RAM, Ubuntu linux.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 15, 2008 15:00:00 UTC 2008 年 11 月 16 日 (日) 0 時 0 分 0 秒 (日本時間)

29×10115+619

c107

name 名前Jo Yeong Uk
date 日付November 16, 2008 06:47:08 UTC 2008 年 11 月 16 日 (日) 15 時 47 分 8 秒 (日本時間)
composite number 合成数
35502863899299788486411859804062433981468144340963035042836030019285950199708977711430221600636122294583633<107>
prime factors 素因数
1063452127633539612140587509270470321829037<43>
33384543579129404191599943967015786740223790494495006249744297909<65>
factorization results 素因数分解の結果
Number: 32229_115
N=35502863899299788486411859804062433981468144340963035042836030019285950199708977711430221600636122294583633
  ( 107 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=1063452127633539612140587509270470321829037 (pp43)
 r2=33384543579129404191599943967015786740223790494495006249744297909 (pp65)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.85 hours.
Scaled time: 2.01 units (timescale=2.375).
Factorization parameters were as follows:
n: 35502863899299788486411859804062433981468144340963035042836030019285950199708977711430221600636122294583633
m: 100000000000000000000000
deg: 5
c5: 29
c0: 61
skew: 1.16
type: snfs
rlim: 500000
alim: 500000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 500000/500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [250000, 450001)
Primes: RFBsize:41538, AFBsize:41313, largePrimes:1204513 encountered
Relations: rels:1160406, finalFF:127665
Max relations in full relation-set: 28
Initial matrix: 82916 x 127665 with sparse part having weight 5990211.
Pruned matrix : 68199 x 68677 with weight 2335623.
Total sieving time: 0.82 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,116,5,0,0,0,0,0,0,0,0,500000,500000,25,25,45,45,2.2,2.2,25000
total time: 0.85 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047068k/8912896k available (2460k kernel code, 339224k reserved, 1251k data, 196k init)
Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673803)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672384)
Calibrating delay using timer specific routine.. 5497.76 BogoMIPS (lpj=2748880)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672347)
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 15, 2008 15:00:00 UTC 2008 年 11 月 16 日 (日) 0 時 0 分 0 秒 (日本時間)

29×10116+619

c82

name 名前Robert Backstrom
date 日付November 15, 2008 18:06:00 UTC 2008 年 11 月 16 日 (日) 3 時 6 分 0 秒 (日本時間)
composite number 合成数
1474055775855945699490365633699736543007749056604429799681281685914133078598069961<82>
prime factors 素因数
2178729077434916503736133330125321<34>
676566807283536166402708627290220286482051675841<48>
factorization results 素因数分解の結果
Sun Nov 16 04:52:04 2008  
Sun Nov 16 04:52:04 2008  
Sun Nov 16 04:52:04 2008  Msieve v. 1.38
Sun Nov 16 04:52:04 2008  random seeds: b5630310 0b7d1da0
Sun Nov 16 04:52:04 2008  factoring 1474055775855945699490365633699736543007749056604429799681281685914133078598069961 (82 digits)
Sun Nov 16 04:52:04 2008  searching for 15-digit factors
Sun Nov 16 04:52:05 2008  commencing quadratic sieve (82-digit input)
Sun Nov 16 04:52:05 2008  using multiplier of 1
Sun Nov 16 04:52:05 2008  using 64kb Opteron sieve core
Sun Nov 16 04:52:05 2008  sieve interval: 6 blocks of size 65536
Sun Nov 16 04:52:05 2008  processing polynomials in batches of 17
Sun Nov 16 04:52:05 2008  using a sieve bound of 1325183 (51176 primes)
Sun Nov 16 04:52:05 2008  using large prime bound of 125892385 (26 bits)
Sun Nov 16 04:52:05 2008  using trial factoring cutoff of 27 bits
Sun Nov 16 04:52:05 2008  polynomial 'A' values have 10 factors
Sun Nov 16 05:03:43 2008  51289 relations (25932 full + 25357 combined from 276904 partial), need 51272
Sun Nov 16 05:03:43 2008  begin with 302836 relations
Sun Nov 16 05:03:43 2008  reduce to 73495 relations in 2 passes
Sun Nov 16 05:03:43 2008  attempting to read 73495 relations
Sun Nov 16 05:03:44 2008  recovered 73495 relations
Sun Nov 16 05:03:44 2008  recovered 64316 polynomials
Sun Nov 16 05:03:44 2008  attempting to build 51289 cycles
Sun Nov 16 05:03:44 2008  found 51289 cycles in 1 passes
Sun Nov 16 05:03:44 2008  distribution of cycle lengths:
Sun Nov 16 05:03:44 2008     length 1 : 25932
Sun Nov 16 05:03:44 2008     length 2 : 25357
Sun Nov 16 05:03:44 2008  largest cycle: 2 relations
Sun Nov 16 05:03:44 2008  matrix is 51176 x 51289 (6.7 MB) with weight 1557069 (30.36/col)
Sun Nov 16 05:03:44 2008  sparse part has weight 1557069 (30.36/col)
Sun Nov 16 05:03:45 2008  filtering completed in 3 passes
Sun Nov 16 05:03:45 2008  matrix is 37092 x 37156 (5.4 MB) with weight 1261642 (33.96/col)
Sun Nov 16 05:03:45 2008  sparse part has weight 1261642 (33.96/col)
Sun Nov 16 05:03:45 2008  saving the first 48 matrix rows for later
Sun Nov 16 05:03:45 2008  matrix is 37044 x 37156 (4.0 MB) with weight 1002066 (26.97/col)
Sun Nov 16 05:03:45 2008  sparse part has weight 813973 (21.91/col)
Sun Nov 16 05:03:45 2008  matrix includes 64 packed rows
Sun Nov 16 05:03:45 2008  using block size 14862 for processor cache size 1024 kB
Sun Nov 16 05:03:45 2008  commencing Lanczos iteration
Sun Nov 16 05:03:45 2008  memory use: 4.3 MB
Sun Nov 16 05:03:51 2008  lanczos halted after 587 iterations (dim = 37042)
Sun Nov 16 05:03:51 2008  recovered 15 nontrivial dependencies
Sun Nov 16 05:03:51 2008  prp34 factor: 2178729077434916503736133330125321
Sun Nov 16 05:03:51 2008  prp48 factor: 676566807283536166402708627290220286482051675841
Sun Nov 16 05:03:51 2008  elapsed time 00:11:47

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 15, 2008 15:00:00 UTC 2008 年 11 月 16 日 (日) 0 時 0 分 0 秒 (日本時間)

29×10119+619

c110

name 名前Sinkiti Sibata
date 日付November 16, 2008 22:33:22 UTC 2008 年 11 月 17 日 (月) 7 時 33 分 22 秒 (日本時間)
composite number 合成数
44523994581224066491456374407948378951798095334630452372072088876207730565761711381108873202032068093249024141<110>
prime factors 素因数
3039594091840195741412652558969397930858942438694303563<55>
14648006686402284380989446730512633636716046580374198407<56>
factorization results 素因数分解の結果
Number: 32229_119
N=44523994581224066491456374407948378951798095334630452372072088876207730565761711381108873202032068093249024141
  ( 110 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=3039594091840195741412652558969397930858942438694303563 (pp55)
 r2=14648006686402284380989446730512633636716046580374198407 (pp56)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 2.47 hours.
Scaled time: 2.49 units (timescale=1.009).
Factorization parameters were as follows:
name: 32229_119
n: 44523994581224066491456374407948378951798095334630452372072088876207730565761711381108873202032068093249024141
m: 500000000000000000000000
deg: 5
c5: 464
c0: 305
skew: 0.92
type: snfs
lss: 1
rlim: 730000
alim: 730000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 730000/730000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [365000, 615001)
Primes: RFBsize:58789, AFBsize:58572, largePrimes:1393640 encountered
Relations: rels:1416113, finalFF:193824
Max relations in full relation-set: 28
Initial matrix: 117427 x 193824 with sparse part having weight 8753871.
Pruned matrix : 87703 x 88354 with weight 3029773.
Total sieving time: 2.42 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,121,5,0,0,0,0,0,0,0,0,730000,730000,25,25,46,46,2.2,2.2,50000
total time: 2.47 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 15, 2008 15:00:00 UTC 2008 年 11 月 16 日 (日) 0 時 0 分 0 秒 (日本時間)

29×10123+619

c93

name 名前Sinkiti Sibata
date 日付November 16, 2008 04:11:26 UTC 2008 年 11 月 16 日 (日) 13 時 11 分 26 秒 (日本時間)
composite number 合成数
154404312452651499619825162391679781184038198256602725705528105359351435732648813328651049127<93>
prime factors 素因数
23784786456749368257820483421526223<35>
6491725823707635239534358637976596616815241340171667425449<58>
factorization results 素因数分解の結果
Sun Nov 16 09:29:45 2008  Msieve v. 1.38
Sun Nov 16 09:29:45 2008  random seeds: eb06c0eb dee408f7
Sun Nov 16 09:29:45 2008  factoring 154404312452651499619825162391679781184038198256602725705528105359351435732648813328651049127 (93 digits)
Sun Nov 16 09:29:46 2008  searching for 15-digit factors
Sun Nov 16 09:29:48 2008  commencing quadratic sieve (93-digit input)
Sun Nov 16 09:29:48 2008  using multiplier of 2
Sun Nov 16 09:29:48 2008  using 64kb Pentium 4 sieve core
Sun Nov 16 09:29:48 2008  sieve interval: 18 blocks of size 65536
Sun Nov 16 09:29:48 2008  processing polynomials in batches of 6
Sun Nov 16 09:29:48 2008  using a sieve bound of 1889117 (70571 primes)
Sun Nov 16 09:29:48 2008  using large prime bound of 221026689 (27 bits)
Sun Nov 16 09:29:48 2008  using double large prime bound of 1047129632032419 (42-50 bits)
Sun Nov 16 09:29:48 2008  using trial factoring cutoff of 50 bits
Sun Nov 16 09:29:48 2008  polynomial 'A' values have 12 factors
Sun Nov 16 12:59:39 2008  71078 relations (18371 full + 52707 combined from 918971 partial), need 70667
Sun Nov 16 12:59:42 2008  begin with 937342 relations
Sun Nov 16 12:59:43 2008  reduce to 178871 relations in 11 passes
Sun Nov 16 12:59:43 2008  attempting to read 178871 relations
Sun Nov 16 12:59:49 2008  recovered 178871 relations
Sun Nov 16 12:59:49 2008  recovered 158299 polynomials
Sun Nov 16 12:59:49 2008  attempting to build 71078 cycles
Sun Nov 16 12:59:49 2008  found 71078 cycles in 6 passes
Sun Nov 16 12:59:49 2008  distribution of cycle lengths:
Sun Nov 16 12:59:49 2008     length 1 : 18371
Sun Nov 16 12:59:49 2008     length 2 : 13084
Sun Nov 16 12:59:49 2008     length 3 : 12391
Sun Nov 16 12:59:49 2008     length 4 : 9547
Sun Nov 16 12:59:49 2008     length 5 : 6908
Sun Nov 16 12:59:49 2008     length 6 : 4395
Sun Nov 16 12:59:49 2008     length 7 : 2773
Sun Nov 16 12:59:49 2008     length 9+: 3609
Sun Nov 16 12:59:49 2008  largest cycle: 21 relations
Sun Nov 16 12:59:49 2008  matrix is 70571 x 71078 (17.7 MB) with weight 4345835 (61.14/col)
Sun Nov 16 12:59:49 2008  sparse part has weight 4345835 (61.14/col)
Sun Nov 16 12:59:51 2008  filtering completed in 3 passes
Sun Nov 16 12:59:51 2008  matrix is 66437 x 66501 (16.6 MB) with weight 4076816 (61.30/col)
Sun Nov 16 12:59:51 2008  sparse part has weight 4076816 (61.30/col)
Sun Nov 16 12:59:51 2008  saving the first 48 matrix rows for later
Sun Nov 16 12:59:51 2008  matrix is 66389 x 66501 (9.8 MB) with weight 3136378 (47.16/col)
Sun Nov 16 12:59:51 2008  sparse part has weight 2167002 (32.59/col)
Sun Nov 16 12:59:51 2008  matrix includes 64 packed rows
Sun Nov 16 12:59:51 2008  using block size 21845 for processor cache size 512 kB
Sun Nov 16 12:59:52 2008  commencing Lanczos iteration
Sun Nov 16 12:59:52 2008  memory use: 9.9 MB
Sun Nov 16 13:00:36 2008  lanczos halted after 1051 iterations (dim = 66389)
Sun Nov 16 13:00:36 2008  recovered 18 nontrivial dependencies
Sun Nov 16 13:00:37 2008  prp35 factor: 23784786456749368257820483421526223
Sun Nov 16 13:00:37 2008  prp58 factor: 6491725823707635239534358637976596616815241340171667425449
Sun Nov 16 13:00:37 2008  elapsed time 03:30:52

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 15, 2008 15:00:00 UTC 2008 年 11 月 16 日 (日) 0 時 0 分 0 秒 (日本時間)

29×10126+619

c107

name 名前Sinkiti Sibata
date 日付November 16, 2008 19:49:43 UTC 2008 年 11 月 17 日 (月) 4 時 49 分 43 秒 (日本時間)
composite number 合成数
17762401581584539215934748989254245111000743713326681417675537217984098385505054330098797056958065861167571<107>
prime factors 素因数
5260246663870249816139402148927464621<37>
3376724080941819078597386914245768715629794334600094008745661189453951<70>
factorization results 素因数分解の結果
Number: 32229_126
N=17762401581584539215934748989254245111000743713326681417675537217984098385505054330098797056958065861167571
  ( 107 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=5260246663870249816139402148927464621 (pp37)
 r2=3376724080941819078597386914245768715629794334600094008745661189453951 (pp70)
Version: GGNFS-0.77.1-20060513-k8
Total time: 3.66 hours.
Scaled time: 7.29 units (timescale=1.991).
Factorization parameters were as follows:
name: 32229_126
n: 17762401581584539215934748989254245111000743713326681417675537217984098385505054330098797056958065861167571
m: 10000000000000000000000000
deg: 5
c5: 290
c0: 61
skew: 0.73
type: snfs
lss: 1
rlim: 930000
alim: 930000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 930000/930000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [465000, 815001)
Primes: RFBsize:73474, AFBsize:73758, largePrimes:2693813 encountered
Relations: rels:2675287, finalFF:270666
Max relations in full relation-set: 28
Initial matrix: 147299 x 270666 with sparse part having weight 22074441.
Pruned matrix : 118461 x 119261 with weight 6932569.
Total sieving time: 3.45 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,127,5,0,0,0,0,0,0,0,0,930000,930000,26,26,46,46,2.3,2.3,50000
total time: 3.66 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 KamadaNovember 15, 2008 15:00:00 UTC 2008 年 11 月 16 日 (日) 0 時 0 分 0 秒 (日本時間)

29×10129+619

c117

name 名前Sinkiti Sibata
date 日付November 16, 2008 02:57:25 UTC 2008 年 11 月 16 日 (日) 11 時 57 分 25 秒 (日本時間)
composite number 合成数
364900974808867104898967325221905613343552291848563833088459135235478973892663263256448468989776474935458668646978747<117>
prime factors 素因数
702397047936012971295827907183563<33>
519508127036019215068898992290694168510514114774183232879983195042107161939072988369<84>
factorization results 素因数分解の結果
Number: 32229_129
N=364900974808867104898967325221905613343552291848563833088459135235478973892663263256448468989776474935458668646978747
  ( 117 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=702397047936012971295827907183563 (pp33)
 r2=519508127036019215068898992290694168510514114774183232879983195042107161939072988369 (pp84)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 4.40 hours.
Scaled time: 4.45 units (timescale=1.011).
Factorization parameters were as follows:
name: 32229_129
n: 364900974808867104898967325221905613343552291848563833088459135235478973892663263256448468989776474935458668646978747
m: 50000000000000000000000000
deg: 5
c5: 464
c0: 305
skew: 0.92
type: snfs
lss: 1
rlim: 1070000
alim: 1070000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1070000/1070000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [535000, 985001)
Primes: RFBsize:83548, AFBsize:83187, largePrimes:2867311 encountered
Relations: rels:2842564, finalFF:280905
Max relations in full relation-set: 28
Initial matrix: 166801 x 280905 with sparse part having weight 21547482.
Pruned matrix : 133491 x 134389 with weight 7371408.
Total sieving time: 4.27 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,1070000,1070000,26,26,47,47,2.3,2.3,50000
total time: 4.40 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 15, 2008 15:00:00 UTC 2008 年 11 月 16 日 (日) 0 時 0 分 0 秒 (日本時間)

29×10130+619

c121

name 名前Jo Yeong Uk
date 日付November 16, 2008 14:01:25 UTC 2008 年 11 月 16 日 (日) 23 時 1 分 25 秒 (日本時間)
composite number 合成数
1731095296161034186652985668204719951318539695468105962876040531421889024048732585255272712583375416756926743955121543411<121>
prime factors 素因数
79670731472298078269193701411<29>
21728121032288311484210768531278542120403106435158017147982447424462035210929072787288822001<92>
factorization results 素因数分解の結果
Number: 32229_130
N=1731095296161034186652985668204719951318539695468105962876040531421889024048732585255272712583375416756926743955121543411
  ( 121 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=79670731472298078269193701411 (pp29)
 r2=21728121032288311484210768531278542120403106435158017147982447424462035210929072787288822001 (pp92)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 2.36 hours.
Scaled time: 5.59 units (timescale=2.369).
Factorization parameters were as follows:
n: 1731095296161034186652985668204719951318539695468105962876040531421889024048732585255272712583375416756926743955121543411
m: 100000000000000000000000000
deg: 5
c5: 29
c0: 61
skew: 1.16
type: snfs
rlim: 1100000
alim: 1100000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1100000/1100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved algebraic special-q in [550000, 1050001)
Primes: RFBsize:85714, AFBsize:85120, largePrimes:2938526 encountered
Relations: rels:2911673, finalFF:271253
Max relations in full relation-set: 28
Initial matrix: 170899 x 271253 with sparse part having weight 22254580.
Pruned matrix : 141772 x 142690 with weight 9219822.
Total sieving time: 2.21 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,1100000,1100000,26,26,47,47,2.3,2.3,50000
total time: 2.36 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047068k/8912896k available (2460k kernel code, 339224k reserved, 1251k data, 196k init)
Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673803)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672384)
Calibrating delay using timer specific routine.. 5497.76 BogoMIPS (lpj=2748880)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672347)
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 15, 2008 15:00:00 UTC 2008 年 11 月 16 日 (日) 0 時 0 分 0 秒 (日本時間)

29×10131+619

c121

name 名前Jo Yeong Uk
date 日付November 16, 2008 22:30:14 UTC 2008 年 11 月 17 日 (月) 7 時 30 分 14 秒 (日本時間)
composite number 合成数
3948553237576089494148082911757301899278468894475833811454137708324984302175421052876280537476334555392850421077462049389<121>
prime factors 素因数
14968664333421247762182979421624958274117<41>
263787947249239008750674692352237210954998800730439204974507833660087043354398217<81>
factorization results 素因数分解の結果
Number: 32229_131
N=3948553237576089494148082911757301899278468894475833811454137708324984302175421052876280537476334555392850421077462049389
  ( 121 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=14968664333421247762182979421624958274117 (pp41)
 r2=263787947249239008750674692352237210954998800730439204974507833660087043354398217 (pp81)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 2.55 hours.
Scaled time: 6.09 units (timescale=2.388).
Factorization parameters were as follows:
n: 3948553237576089494148082911757301899278468894475833811454137708324984302175421052876280537476334555392850421077462049389
m: 100000000000000000000000000
deg: 5
c5: 290
c0: 61
skew: 0.73
type: snfs
rlim: 1200000
alim: 1200000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved algebraic special-q in [600000, 1100001)
Primes: RFBsize:92938, AFBsize:93085, largePrimes:2913374 encountered
Relations: rels:2807722, finalFF:218137
Max relations in full relation-set: 28
Initial matrix: 186090 x 218137 with sparse part having weight 17086563.
Pruned matrix : 174542 x 175536 with weight 11234838.
Total sieving time: 2.38 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,132,5,0,0,0,0,0,0,0,0,1200000,1200000,26,26,47,47,2.3,2.3,50000
total time: 2.55 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047068k/8912896k available (2460k kernel code, 339224k reserved, 1251k data, 196k init)
Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673803)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672384)
Calibrating delay using timer specific routine.. 5497.76 BogoMIPS (lpj=2748880)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672347)
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 15, 2008 15:00:00 UTC 2008 年 11 月 16 日 (日) 0 時 0 分 0 秒 (日本時間)

29×10132+619

c112

name 名前Sinkiti Sibata
date 日付November 16, 2008 09:31:57 UTC 2008 年 11 月 16 日 (日) 18 時 31 分 57 秒 (日本時間)
composite number 合成数
1420144740178675433512906399968811958294246897026011140899170620946895100478122156953533633651982314156428833013<112>
prime factors 素因数
1160506834037004778363069891034036545878599561<46>
1223728028587715881592422848454136462283332040500297843381391947533<67>
factorization results 素因数分解の結果
Number: 32229_132
N=1420144740178675433512906399968811958294246897026011140899170620946895100478122156953533633651982314156428833013
  ( 112 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=1160506834037004778363069891034036545878599561 (pp46)
 r2=1223728028587715881592422848454136462283332040500297843381391947533 (pp67)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 6.34 hours.
Scaled time: 6.41 units (timescale=1.011).
Factorization parameters were as follows:
name: 32229_132
n: 1420144740178675433512906399968811958294246897026011140899170620946895100478122156953533633651982314156428833013
m: 200000000000000000000000000
deg: 5
c5: 725
c0: 488
skew: 0.92
type: snfs
lss: 1
rlim: 1210000
alim: 1210000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1210000/1210000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [605000, 1280001)
Primes: RFBsize:93614, AFBsize:94015, largePrimes:3067360 encountered
Relations: rels:3002294, finalFF:240316
Max relations in full relation-set: 28
Initial matrix: 187696 x 240316 with sparse part having weight 20724710.
Pruned matrix : 172796 x 173798 with weight 12064795.
Total sieving time: 6.13 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,134,5,0,0,0,0,0,0,0,0,1210000,1210000,26,26,47,47,2.3,2.3,75000
total time: 6.34 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 15, 2008 15:00:00 UTC 2008 年 11 月 16 日 (日) 0 時 0 分 0 秒 (日本時間)

29×10133+619

c105

name 名前Sinkiti Sibata
date 日付November 16, 2008 11:46:21 UTC 2008 年 11 月 16 日 (日) 20 時 46 分 21 秒 (日本時間)
composite number 合成数
142847837933854366350820670655655652951557243538670005984715501589767377406377382448365027428597346275563<105>
prime factors 素因数
82102399405226866715133641<26>
1695378156926123401429032448812952661<37>
1026245436017454986714853921405601157067463<43>
factorization results 素因数分解の結果
Number: 32229_133
N=142847837933854366350820670655655652951557243538670005984715501589767377406377382448365027428597346275563
  ( 105 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=82102399405226866715133641 (pp26)
 r2=1695378156926123401429032448812952661 (pp37)
 r3=1026245436017454986714853921405601157067463 (pp43)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 6.46 hours.
Scaled time: 6.46 units (timescale=1.000).
Factorization parameters were as follows:
name: 32229_133
n: 142847837933854366350820670655655652951557243538670005984715501589767377406377382448365027428597346275563
m: 500000000000000000000000000
deg: 5
c5: 232
c0: 1525
skew: 1.46
type: snfs
lss: 1
rlim: 1290000
alim: 1290000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1290000/1290000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [645000, 1320001)
Primes: RFBsize:99332, AFBsize:99274, largePrimes:3176509 encountered
Relations: rels:3103563, finalFF:236151
Max relations in full relation-set: 28
Initial matrix: 198673 x 236151 with sparse part having weight 20552066.
Pruned matrix : 187588 x 188645 with weight 13829174.
Total sieving time: 6.20 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.16 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,135,5,0,0,0,0,0,0,0,0,1290000,1290000,26,26,47,47,2.3,2.3,75000
total time: 6.46 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 15, 2008 15:00:00 UTC 2008 年 11 月 16 日 (日) 0 時 0 分 0 秒 (日本時間)

29×10136+619

c85

name 名前Robert Backstrom
date 日付November 16, 2008 04:34:29 UTC 2008 年 11 月 16 日 (日) 13 時 34 分 29 秒 (日本時間)
composite number 合成数
3658217346417259879542882504552540988176513141181323018991027486329660954453801889919<85>
prime factors 素因数
44422204522463800558090885913108389<35>
82351098639585552850344538095782597161862158898771<50>
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 3658217346417259879542882504552540988176513141181323018991027486329660954453801889919 (85 digits)
Using B1=1160000, B2=1426247560, polynomial Dickson(6), sigma=2802654316
Step 1 took 6094ms
Step 2 took 3515ms
********** Factor found in step 2: 44422204522463800558090885913108389
Found probable prime factor of 35 digits: 44422204522463800558090885913108389
Probable prime cofactor 82351098639585552850344538095782597161862158898771 has 50 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 15, 2008 15:00:00 UTC 2008 年 11 月 16 日 (日) 0 時 0 分 0 秒 (日本時間)

29×10137+619

c112

name 名前Sinkiti Sibata
date 日付November 18, 2008 04:53:01 UTC 2008 年 11 月 18 日 (火) 13 時 53 分 1 秒 (日本時間)
composite number 合成数
8740455107513239305779557493730510918834594330157676536378650217243444178655936857371578307479790099541296555547<112>
prime factors 素因数
1876509566605769011012478535021817151398357<43>
4657826031403067538249012839543823016247868013413400768902393511194671<70>
factorization results 素因数分解の結果
Number: 32229_137
N=8740455107513239305779557493730510918834594330157676536378650217243444178655936857371578307479790099541296555547
  ( 112 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=1876509566605769011012478535021817151398357 (pp43)
 r2=4657826031403067538249012839543823016247868013413400768902393511194671 (pp70)
Version: GGNFS-0.77.1-20060513-k8
Total time: 10.97 hours.
Scaled time: 21.91 units (timescale=1.997).
Factorization parameters were as follows:
name: 32229_137
n: 8740455107513239305779557493730510918834594330157676536378650217243444178655936857371578307479790099541296555547
m: 2000000000000000000000000000
deg: 5
c5: 725
c0: 488
skew: 0.92
type: snfs
lss: 1
rlim: 1470000
alim: 1470000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1470000/1470000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [735000, 1710001)
Primes: RFBsize:112047, AFBsize:112565, largePrimes:3586545 encountered
Relations: rels:3620639, finalFF:294457
Max relations in full relation-set: 28
Initial matrix: 224679 x 294457 with sparse part having weight 29193083.
Pruned matrix : 204167 x 205354 with weight 17484458.
Total sieving time: 10.30 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.47 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,139,5,0,0,0,0,0,0,0,0,1470000,1470000,26,26,48,48,2.3,2.3,75000
total time: 10.97 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 KamadaNovember 15, 2008 15:00:00 UTC 2008 年 11 月 16 日 (日) 0 時 0 分 0 秒 (日本時間)

29×10139+619

c90

name 名前Erik Branger
date 日付November 15, 2008 21:56:08 UTC 2008 年 11 月 16 日 (日) 6 時 56 分 8 秒 (日本時間)
composite number 合成数
261402791021113117578925405750467260032219345544353197182924360382793355544864901350805049<90>
prime factors 素因数
526346512135981262865057629649851747<36>
496636312759644324545696307974594420148439259761254067<54>
factorization results 素因数分解の結果
Sat Nov 15 21:31:02 2008  Msieve v. 1.38
Sat Nov 15 21:31:02 2008  random seeds: 52e51600 39bdff75
Sat Nov 15 21:31:02 2008  factoring 261402791021113117578925405750467260032219345544353197182924360382793355544864901350805049 (90 digits)
Sat Nov 15 21:31:03 2008  searching for 15-digit factors
Sat Nov 15 21:31:05 2008  commencing quadratic sieve (90-digit input)
Sat Nov 15 21:31:05 2008  using multiplier of 1
Sat Nov 15 21:31:05 2008  using 32kb Intel Core sieve core
Sat Nov 15 21:31:05 2008  sieve interval: 36 blocks of size 32768
Sat Nov 15 21:31:05 2008  processing polynomials in batches of 6
Sat Nov 15 21:31:05 2008  using a sieve bound of 1577909 (60000 primes)
Sat Nov 15 21:31:05 2008  using large prime bound of 126232720 (26 bits)
Sat Nov 15 21:31:05 2008  using double large prime bound of 382040549960160 (42-49 bits)
Sat Nov 15 21:31:05 2008  using trial factoring cutoff of 49 bits
Sat Nov 15 21:31:05 2008  polynomial 'A' values have 11 factors
Sat Nov 15 22:47:12 2008  60109 relations (15701 full + 44408 combined from 638898 partial), need 60096
Sat Nov 15 22:47:12 2008  begin with 654599 relations
Sat Nov 15 22:47:13 2008  reduce to 147530 relations in 10 passes
Sat Nov 15 22:47:13 2008  attempting to read 147530 relations
Sat Nov 15 22:47:15 2008  recovered 147530 relations
Sat Nov 15 22:47:15 2008  recovered 127332 polynomials
Sat Nov 15 22:47:15 2008  attempting to build 60109 cycles
Sat Nov 15 22:47:15 2008  found 60109 cycles in 5 passes
Sat Nov 15 22:47:15 2008  distribution of cycle lengths:
Sat Nov 15 22:47:15 2008     length 1 : 15701
Sat Nov 15 22:47:15 2008     length 2 : 11329
Sat Nov 15 22:47:15 2008     length 3 : 10720
Sat Nov 15 22:47:15 2008     length 4 : 8056
Sat Nov 15 22:47:15 2008     length 5 : 5760
Sat Nov 15 22:47:15 2008     length 6 : 3736
Sat Nov 15 22:47:15 2008     length 7 : 2134
Sat Nov 15 22:47:15 2008     length 9+: 2673
Sat Nov 15 22:47:15 2008  largest cycle: 19 relations
Sat Nov 15 22:47:15 2008  matrix is 60000 x 60109 (14.8 MB) with weight 3640661 (60.57/col)
Sat Nov 15 22:47:15 2008  sparse part has weight 3640661 (60.57/col)
Sat Nov 15 22:47:15 2008  filtering completed in 3 passes
Sat Nov 15 22:47:15 2008  matrix is 56304 x 56368 (14.0 MB) with weight 3451440 (61.23/col)
Sat Nov 15 22:47:15 2008  sparse part has weight 3451440 (61.23/col)
Sat Nov 15 22:47:16 2008  saving the first 48 matrix rows for later
Sat Nov 15 22:47:16 2008  matrix is 56256 x 56368 (10.3 MB) with weight 2869705 (50.91/col)
Sat Nov 15 22:47:16 2008  sparse part has weight 2356081 (41.80/col)
Sat Nov 15 22:47:16 2008  matrix includes 64 packed rows
Sat Nov 15 22:47:16 2008  using block size 22547 for processor cache size 2048 kB
Sat Nov 15 22:47:16 2008  commencing Lanczos iteration
Sat Nov 15 22:47:16 2008  memory use: 9.3 MB
Sat Nov 15 22:47:37 2008  lanczos halted after 891 iterations (dim = 56255)
Sat Nov 15 22:47:38 2008  recovered 16 nontrivial dependencies
Sat Nov 15 22:47:38 2008  prp36 factor: 526346512135981262865057629649851747
Sat Nov 15 22:47:38 2008  prp54 factor: 496636312759644324545696307974594420148439259761254067
Sat Nov 15 22:47:38 2008  elapsed time 01:16:36
software ソフトウェア
Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 15, 2008 15:00:00 UTC 2008 年 11 月 16 日 (日) 0 時 0 分 0 秒 (日本時間)

29×10141+619

c113

name 名前Sinkiti Sibata
date 日付November 17, 2008 19:39:25 UTC 2008 年 11 月 18 日 (火) 4 時 39 分 25 秒 (日本時間)
composite number 合成数
65622029498022402511370121818645478725599093924522418761938954240567698309562351507030435140498203033268335542917<113>
prime factors 素因数
23326022163441896017355332795484893<35>
8095744849338993975408132622174877891<37>
347497881729904362093602551567166189462659<42>
factorization results 素因数分解の結果
Number: 32229_141
N=65622029498022402511370121818645478725599093924522418761938954240567698309562351507030435140498203033268335542917
  ( 113 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=23326022163441896017355332795484893 (pp35)
 r2=8095744849338993975408132622174877891 (pp37)
 r3=347497881729904362093602551567166189462659 (pp42)
Version: GGNFS-0.77.1-20060513-k8
Total time: 13.27 hours.
Scaled time: 26.42 units (timescale=1.991).
Factorization parameters were as follows:
name: 32229_141
n: 65622029498022402511370121818645478725599093924522418761938954240567698309562351507030435140498203033268335542917
m: 10000000000000000000000000000
deg: 5
c5: 290
c0: 61
skew: 0.73
type: snfs
lss: 1
rlim: 1660000
alim: 1660000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1660000/1660000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [830000, 1930001)
Primes: RFBsize:125335, AFBsize:125722, largePrimes:3887765 encountered
Relations: rels:4017215, finalFF:365741
Max relations in full relation-set: 28
Initial matrix: 251124 x 365741 with sparse part having weight 37586099.
Pruned matrix : 216769 x 218088 with weight 19575455.
Total sieving time: 12.54 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.52 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,142,5,0,0,0,0,0,0,0,0,1660000,1660000,26,26,48,48,2.3,2.3,100000
total time: 13.27 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 KamadaNovember 15, 2008 15:00:00 UTC 2008 年 11 月 16 日 (日) 0 時 0 分 0 秒 (日本時間)

29×10143+619

c96

name 名前Jo Yeong Uk
date 日付November 16, 2008 10:58:33 UTC 2008 年 11 月 16 日 (日) 19 時 58 分 33 秒 (日本時間)
composite number 合成数
191617604765042214487285873627042372065144419378891933069732010892507288599184754668089395380241<96>
prime factors 素因数
53090111509500046699970834294540168315452678951<47>
3609289928327873103344992856542781257387147830791<49>
factorization results 素因数分解の結果
Sun Nov 16 15:51:06 2008  
Sun Nov 16 15:51:06 2008  
Sun Nov 16 15:51:06 2008  Msieve v. 1.32
Sun Nov 16 15:51:06 2008  random seeds: 9ccb8280 d7bc4d77
Sun Nov 16 15:51:06 2008  factoring 
191617604765042214487285873627042372065144419378891933069732010892507288599184754668089395380241 
(96 digits)
Sun Nov 16 15:51:07 2008  no P-1/P+1/ECM available, skipping
Sun Nov 16 15:51:07 2008  commencing quadratic sieve (95-digit input)
Sun Nov 16 15:51:07 2008  using multiplier of 1
Sun Nov 16 15:51:07 2008  using VC8 32kb sieve core
Sun Nov 16 15:51:07 2008  sieve interval: 36 blocks of size 32768
Sun Nov 16 15:51:07 2008  processing polynomials in batches of 6
Sun Nov 16 15:51:07 2008  using a sieve bound of 2231357 (82229 primes)
Sun Nov 16 15:51:07 2008  using large prime bound of 334703550 (28 bits)
Sun Nov 16 15:51:07 2008  using double large prime bound of 2209980934643550 (43-51 bits)
Sun Nov 16 15:51:07 2008  using trial factoring cutoff of 51 bits
Sun Nov 16 15:51:07 2008  polynomial 'A' values have 12 factors
Sun Nov 16 19:33:07 2008  82402 relations (19628 full + 62774 combined from 1248672 partial), need 
82325
Sun Nov 16 19:33:14 2008  begin with 1268300 relations
Sun Nov 16 19:33:15 2008  reduce to 217896 relations in 11 passes
Sun Nov 16 19:33:15 2008  attempting to read 217896 relations
Sun Nov 16 19:33:17 2008  recovered 217896 relations
Sun Nov 16 19:33:17 2008  recovered 204851 polynomials
Sun Nov 16 19:33:18 2008  attempting to build 82402 cycles
Sun Nov 16 19:33:18 2008  found 82402 cycles in 6 passes
Sun Nov 16 19:33:18 2008  distribution of cycle lengths:
Sun Nov 16 19:33:18 2008     length 1 : 19628
Sun Nov 16 19:33:18 2008     length 2 : 14107
Sun Nov 16 19:33:18 2008     length 3 : 13863
Sun Nov 16 19:33:18 2008     length 4 : 11127
Sun Nov 16 19:33:18 2008     length 5 : 8442
Sun Nov 16 19:33:18 2008     length 6 : 5983
Sun Nov 16 19:33:18 2008     length 7 : 3779
Sun Nov 16 19:33:18 2008     length 9+: 5473
Sun Nov 16 19:33:18 2008  largest cycle: 26 relations
Sun Nov 16 19:33:18 2008  matrix is 82229 x 82402 with weight 5568133 (avg 67.57/col)
Sun Nov 16 19:33:18 2008  filtering completed in 3 passes
Sun Nov 16 19:33:18 2008  matrix is 78797 x 78861 with weight 5364790 (avg 68.03/col)
Sun Nov 16 19:33:19 2008  saving the first 48 matrix rows for later
Sun Nov 16 19:33:19 2008  matrix is 78749 x 78861 with weight 4403567 (avg 55.84/col)
Sun Nov 16 19:33:19 2008  matrix includes 64 packed rows
Sun Nov 16 19:33:19 2008  using block size 31544 for processor cache size 4096 kB
Sun Nov 16 19:33:19 2008  commencing Lanczos iteration
Sun Nov 16 19:33:53 2008  lanczos halted after 1247 iterations (dim = 78749)
Sun Nov 16 19:33:53 2008  recovered 17 nontrivial dependencies
Sun Nov 16 19:33:55 2008  prp47 factor: 53090111509500046699970834294540168315452678951
Sun Nov 16 19:33:55 2008  prp49 factor: 3609289928327873103344992856542781257387147830791
Sun Nov 16 19:33:55 2008  elapsed time 03:42:49

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 15, 2008 15:00:00 UTC 2008 年 11 月 16 日 (日) 0 時 0 分 0 秒 (日本時間)

29×10145+619

c129

name 名前Sinkiti Sibata
date 日付November 16, 2008 07:12:37 UTC 2008 年 11 月 16 日 (日) 16 時 12 分 37 秒 (日本時間)
composite number 合成数
360639366956156084287866810171610783624733976547008333737357618447101472770979423032269917976079514554428256628648259060290992063<129>
prime factors 素因数
1598708070484988358112518328305521<34>
3121609285825117168137150203040509<34>
72264569656054347511539909116190943810928844213628642438944667<62>
factorization results 素因数分解の結果
Number: 32229_145
N=360639366956156084287866810171610783624733976547008333737357618447101472770979423032269917976079514554428256628648259060290992063
  ( 129 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=1598708070484988358112518328305521 (pp34)
 r2=3121609285825117168137150203040509 (pp34)
 r3=72264569656054347511539909116190943810928844213628642438944667 (pp62)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 12.90 hours.
Scaled time: 12.94 units (timescale=1.003).
Factorization parameters were as follows:
name: 32229_145
n: 360639366956156084287866810171610783624733976547008333737357618447101472770979423032269917976079514554428256628648259060290992063
m: 100000000000000000000000000000
deg: 5
c5: 29
c0: 61
skew: 1.16
type: snfs
lss: 1
rlim: 1930000
alim: 1930000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1930000/1930000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [965000, 2265001)
Primes: RFBsize:144125, AFBsize:143518, largePrimes:4161349 encountered
Relations: rels:4324735, finalFF:378250
Max relations in full relation-set: 28
Initial matrix: 287708 x 378250 with sparse part having weight 38595962.
Pruned matrix : 256620 x 258122 with weight 23578229.
Total sieving time: 12.36 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.42 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1930000,1930000,26,26,49,49,2.3,2.3,100000
total time: 12.90 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 15, 2008 15:00:00 UTC 2008 年 11 月 16 日 (日) 0 時 0 分 0 秒 (日本時間)

29×10146+619

c113

name 名前Jo Yeong Uk
date 日付November 17, 2008 23:43:55 UTC 2008 年 11 月 18 日 (火) 8 時 43 分 55 秒 (日本時間)
composite number 合成数
27150603199304253514940527210781393490679512341427106122393417249589472947324497432458764591434516158903242979717<113>
prime factors 素因数
3169810222981727600466968272956709187527<40>
8565371832817375392513756344491664934115448215655694538143590743210533971<73>
factorization results 素因数分解の結果
Number: 32229_146
N=27150603199304253514940527210781393490679512341427106122393417249589472947324497432458764591434516158903242979717
  ( 113 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=3169810222981727600466968272956709187527 (pp40)
 r2=8565371832817375392513756344491664934115448215655694538143590743210533971 (pp73)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 11.07 hours.
Scaled time: 26.45 units (timescale=2.390).
Factorization parameters were as follows:
n: 27150603199304253514940527210781393490679512341427106122393417249589472947324497432458764591434516158903242979717
m: 100000000000000000000000000000
deg: 5
c5: 290
c0: 61
skew: 0.73
type: snfs
rlim: 1950000
alim: 1950000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1950000/1950000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [975000, 1725001)
Primes: RFBsize:145502, AFBsize:145972, largePrimes:3960898 encountered
Relations: rels:4039693, finalFF:373641
Max relations in full relation-set: 28
Initial matrix: 291541 x 373641 with sparse part having weight 34601105.
Pruned matrix : 260365 x 261886 with weight 20668004.
Total sieving time: 10.41 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.58 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,147,5,0,0,0,0,0,0,0,0,1950000,1950000,26,26,49,49,2.3,2.3,75000
total time: 11.07 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047068k/8912896k available (2460k kernel code, 339224k reserved, 1251k data, 196k init)
Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673803)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672384)
Calibrating delay using timer specific routine.. 5497.76 BogoMIPS (lpj=2748880)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672347)
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 15, 2008 15:00:00 UTC 2008 年 11 月 16 日 (日) 0 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkNovember 17, 2008 03:26:58 UTC 2008 年 11 月 17 日 (月) 12 時 26 分 58 秒 (日本時間)

29×10149+619

c123

name 名前Sinkiti Sibata
date 日付November 17, 2008 09:43:38 UTC 2008 年 11 月 17 日 (月) 18 時 43 分 38 秒 (日本時間)
composite number 合成数
180244995152209257871068513860892740771751549462287974955233441702277009188183769637702407052589249184897134811269254024947<123>
prime factors 素因数
635113194319765417239064874330432842193149404260779<51>
283799796263498656912659353956895657512659811644817238669954795620677593<72>
factorization results 素因数分解の結果
Number: 32229_149
N=180244995152209257871068513860892740771751549462287974955233441702277009188183769637702407052589249184897134811269254024947
  ( 123 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=635113194319765417239064874330432842193149404260779 (pp51)
 r2=283799796263498656912659353956895657512659811644817238669954795620677593 (pp72)
Version: GGNFS-0.77.1-20060513-k8
Total time: 23.35 hours.
Scaled time: 46.77 units (timescale=2.003).
Factorization parameters were as follows:
name: 32229_149
n: 180244995152209257871068513860892740771751549462287974955233441702277009188183769637702407052589249184897134811269254024947
m: 500000000000000000000000000000
deg: 5
c5: 464
c0: 305
skew: 0.92
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1150000, 1850001)
Primes: RFBsize:169511, AFBsize:169392, largePrimes:7334238 encountered
Relations: rels:7738710, finalFF:851885
Max relations in full relation-set: 28
Initial matrix: 338969 x 851885 with sparse part having weight 94817796.
Pruned matrix : 226765 x 228523 with weight 32842570.
Total sieving time: 22.25 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 0.76 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 23.35 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 KamadaNovember 15, 2008 15:00:00 UTC 2008 年 11 月 16 日 (日) 0 時 0 分 0 秒 (日本時間)

29×10153+619

c122

name 名前Sinkiti Sibata
date 日付November 19, 2008 04:18:56 UTC 2008 年 11 月 19 日 (水) 13 時 18 分 56 秒 (日本時間)
composite number 合成数
37746244636614937109295441126432534233511429209331063518631294297155763315859691710659339462548995062900226905080135189677<122>
prime factors 素因数
4471016885284892094064428969844082669284823<43>
8442429452871492723847244029989852385037808762793079404839902174013864671881499<79>
factorization results 素因数分解の結果
Number: 32229_153
N=37746244636614937109295441126432534233511429209331063518631294297155763315859691710659339462548995062900226905080135189677
  ( 122 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=4471016885284892094064428969844082669284823 (pp43)
 r2=8442429452871492723847244029989852385037808762793079404839902174013864671881499 (pp79)
Version: GGNFS-0.77.1-20060513-k8
Total time: 43.51 hours.
Scaled time: 85.59 units (timescale=1.967).
Factorization parameters were as follows:
name: 32229_153
n: 37746244636614937109295441126432534233511429209331063518631294297155763315859691710659339462548995062900226905080135189677
m: 5000000000000000000000000000000
deg: 5
c5: 232
c0: 1525
skew: 1.46
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1400000, 2700001)
Primes: RFBsize:203362, AFBsize:202463, largePrimes:8126931 encountered
Relations: rels:8269642, finalFF:531820
Max relations in full relation-set: 28
Initial matrix: 405892 x 531820 with sparse part having weight 59695479.
Pruned matrix : 365508 x 367601 with weight 38014697.
Total sieving time: 40.79 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 2.27 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 43.51 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 KamadaNovember 15, 2008 15:00:00 UTC 2008 年 11 月 16 日 (日) 0 時 0 分 0 秒 (日本時間)

29×10154+619

c142

name 名前Robert Backstrom
date 日付November 21, 2008 11:22:20 UTC 2008 年 11 月 21 日 (金) 20 時 22 分 20 秒 (日本時間)
composite number 合成数
3932940596154473397043411029640516430303803401489513592173945327232225973966600528391700714282673182011623756607136363687254410051134029602141<142>
prime factors 素因数
986372713677326998182527307992767279549974733724897913803676371177<66>
3987276352659791668600404809219191996642277325038493061533106729035862222933<76>
factorization results 素因数分解の結果
Number: n
N=3932940596154473397043411029640516430303803401489513592173945327232225973966600528391700714282673182011623756607136363687254410051134029602141
  ( 142 digits)
SNFS difficulty: 156 digits.
Divisors found:

Fri Nov 21 22:18:20 2008  prp66 factor: 986372713677326998182527307992767279549974733724897913803676371177
Fri Nov 21 22:18:20 2008  prp76 factor: 3987276352659791668600404809219191996642277325038493061533106729035862222933
Fri Nov 21 22:18:20 2008  elapsed time 01:37:29 (Msieve 1.38)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 21.20 hours.
Scaled time: 27.66 units (timescale=1.305).
Factorization parameters were as follows:
name: KA_3_2_153_9
n: 3932940596154473397043411029640516430303803401489513592173945327232225973966600528391700714282673182011623756607136363687254410051134029602141
type: snfs
skew: 1.84
deg: 5
c5: 29
c0: 610
m: 10000000000000000000000000000000
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 900001)
Primes: RFBsize:216816, AFBsize:216747, largePrimes:11290316 encountered
Relations: rels:9758502, finalFF:438402
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 20.89 hours.
Total relation processing time: 0.31 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,56,56,2.5,2.5,100000
total time: 21.20 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 15, 2008 15:00:00 UTC 2008 年 11 月 16 日 (日) 0 時 0 分 0 秒 (日本時間)

29×10156+619

c120

name 名前Robert Backstrom
date 日付November 24, 2008 04:06:37 UTC 2008 年 11 月 24 日 (月) 13 時 6 分 37 秒 (日本時間)
composite number 合成数
145867347807952268579412120037241313649196025306635310236169952952796714365773755203936139204221987693598990373913843959<120>
prime factors 素因数
1891857657521508354844909719281960503397<40>
77102707610175432125304673350243785044485094386824629693426617726158095364091947<80>
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 145867347807952268579412120037241313649196025306635310236169952952796714365773755203936139204221987693598990373913843959 (120 digits)
Using B1=4516000, B2=8562077170, polynomial Dickson(6), sigma=3701885376
Step 1 took 59297ms
Step 2 took 18375ms
********** Factor found in step 2: 1891857657521508354844909719281960503397
Found probable prime factor of 40 digits: 1891857657521508354844909719281960503397
Probable prime cofactor 77102707610175432125304673350243785044485094386824629693426617726158095364091947 has 80 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 15, 2008 15:00:00 UTC 2008 年 11 月 16 日 (日) 0 時 0 分 0 秒 (日本時間)

29×10157+619

c147

name 名前Robert Backstrom
date 日付November 19, 2008 00:08:58 UTC 2008 年 11 月 19 日 (水) 9 時 8 分 58 秒 (日本時間)
composite number 合成数
325324234108862798024888672602227669818231185557939007019477225308521689758051408804150529854512300441954587776525928341252624651350941132594097299<147>
prime factors 素因数
3790426175780289902379082348729368317<37>
85827877663886217686624927713596100146431875154647473222853714845318268952376104728527063396257347348391319247<110>
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 325324234108862798024888672602227669818231185557939007019477225308521689758051408804150529854512300441954587776525928341252624651350941132594097299 (147 digits)
Using B1=2790000, B2=4281592780, polynomial Dickson(6), sigma=4021036377
Step 1 took 33667ms
Step 2 took 12747ms
********** Factor found in step 2: 3790426175780289902379082348729368317
Found probable prime factor of 37 digits: 3790426175780289902379082348729368317
Probable prime cofactor 85827877663886217686624927713596100146431875154647473222853714845318268952376104728527063396257347348391319247 has 110 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 15, 2008 15:00:00 UTC 2008 年 11 月 16 日 (日) 0 時 0 分 0 秒 (日本時間)

29×10158+619

c145

name 名前Serge Batalov
date 日付November 16, 2008 20:13:38 UTC 2008 年 11 月 17 日 (月) 5 時 13 分 38 秒 (日本時間)
composite number 合成数
1692995007424423415019798294571110455613847542778281019754253169236062192492977341502494284307264305685704328549792521533858327332197837955244799<145>
prime factors 素因数
21190175341877706602064263755067<32>
79895280719012847910673786448020987976586641161452917808757752436610586187445750827143161492493875865710083529997<113>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1456372488
Step 1 took 71098ms
Step 2 took 27177ms
********** Factor found in step 2: 21190175341877706602064263755067
Found probable prime factor of 32 digits: 21190175341877706602064263755067
Probable prime cofactor 79895280719012847910673786448020987976586641161452917808757752436610586187445750827143161492493875865710083529997 has 113 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 15, 2008 15:00:00 UTC 2008 年 11 月 16 日 (日) 0 時 0 分 0 秒 (日本時間)

29×10159+619

c142

name 名前Serge Batalov
date 日付November 16, 2008 10:58:34 UTC 2008 年 11 月 16 日 (日) 19 時 58 分 34 秒 (日本時間)
composite number 合成数
1294926208037229459524619934430374100343497975918422937323020742510031460776965454918089468821177240077502721232406771291201199789929165950851<142>
prime factors 素因数
923043599565278593919200163621863<33>
1402887370268419205442411169734934628646967237570845327816811121807097837271907420111192258792588754204879877<109>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3890356734
Step 1 took 48566ms
Step 2 took 17644ms
********** Factor found in step 2: 923043599565278593919200163621863
Found probable prime factor of 33 digits: 923043599565278593919200163621863
Probable prime cofactor 1402887370268419205442411169734934628646967237570845327816811121807097837271907420111192258792588754204879877 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 KamadaNovember 15, 2008 15:00:00 UTC 2008 年 11 月 16 日 (日) 0 時 0 分 0 秒 (日本時間)

29×10160+619

c116

name 名前Robert Backstrom
date 日付November 21, 2008 19:20:45 UTC 2008 年 11 月 22 日 (土) 4 時 20 分 45 秒 (日本時間)
composite number 合成数
48766713331304223297469209004162040855423177792331628693848084378802536364064355176272991837831834801871342032923373<116>
prime factors 素因数
3392334564486724377686000326486270997623824929<46>
14375561255610661870862903525731472575001154792532546013717693189769037<71>
factorization results 素因数分解の結果
Number: n
N=48766713331304223297469209004162040855423177792331628693848084378802536364064355176272991837831834801871342032923373
  ( 116 digits)
Divisors found:

Sat Nov 22 06:14:15 2008  prp46 factor: 3392334564486724377686000326486270997623824929
Sat Nov 22 06:14:15 2008  prp71 factor: 14375561255610661870862903525731472575001154792532546013717693189769037
Sat Nov 22 06:14:16 2008  elapsed time 00:37:16 (Msieve 1.38)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 33.08 hours.
Scaled time: 67.65 units (timescale=2.045).
Factorization parameters were as follows:
name: KA_3_2_159_9
n: 48766713331304223297469209004162040855423177792331628693848084378802536364064355176272991837831834801871342032923373
skew: 40631.40
# norm 1.28e+16
c5: 48960
c4: -3677136100
c3: -580854246872754
c2: 4669045965929046074
c1: 201689939828851083322901
c0: -1049108959979503795077868296
# alpha -6.13
Y1: 3663644112433
Y0: -15836453313678855586037
# Murphy_E 4.96e-10
# M 5020676239017025116654576699585057370287755122455090683803015253454311247305124917305425540222722612575777110676580
type: gnfs
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 60000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 1900001)
Primes: RFBsize:315948, AFBsize:316550, largePrimes:6201115 encountered
Relations: rels:6010949, finalFF:652204
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 32.85 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,115,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,27,27,50,50,2.4,2.4,60000
total time: 33.08 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 15, 2008 15:00:00 UTC 2008 年 11 月 16 日 (日) 0 時 0 分 0 秒 (日本時間)

29×10163+619

c152

name 名前Robert Backstrom
date 日付November 22, 2008 15:35:42 UTC 2008 年 11 月 23 日 (日) 0 時 35 分 42 秒 (日本時間)
composite number 合成数
71731455271902062683594372416193981301312252677751010734398503646894671594995286707459435462753685485581660198251757661434457299653547628447564971207307<152>
prime factors 素因数
28968902095765974876176251537052725076837212300626871212011<59>
2476153740130391749632672210156842557311791559372719993391286077470404443761638984392106323937<94>
factorization results 素因数分解の結果
Number: n
N=71731455271902062683594372416193981301312252677751010734398503646894671594995286707459435462753685485581660198251757661434457299653547628447564971207307
  ( 152 digits)
SNFS difficulty: 164 digits.
Divisors found:

Sun Nov 23 02:19:40 2008  prp59 factor: 28968902095765974876176251537052725076837212300626871212011
Sun Nov 23 02:19:40 2008  prp94 factor: 2476153740130391749632672210156842557311791559372719993391286077470404443761638984392106323937
Sun Nov 23 02:19:40 2008  elapsed time 02:27:09 (Msieve 1.38)

Version: GGNFS-0.77.1-20050930-k8
Total time: 45.02 hours.
Scaled time: 37.68 units (timescale=0.837).
Factorization parameters were as follows:
name: KA_3_2_162_9
n: 71731455271902062683594372416193981301312252677751010734398503646894671594995286707459435462753685485581660198251757661434457299653547628447564971207307
type: snfs
skew: 0.29
deg: 5
c5: 29000
c0: 61
m: 100000000000000000000000000000000
rlim: 4600000
alim: 4600000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 2350001)
Primes: RFBsize:322441, AFBsize:321512, largePrimes:15532518 encountered
Relations: rels:14047608, finalFF:643166
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 44.42 hours.
Total relation processing time: 0.60 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,164,5,0,0,0,0,0,0,0,0,4600000,4600000,28,28,56,56,2.5,2.5,100000
total time: 45.02 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM)
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6029.31 BogoMIPS (lpj=3014656)
Total of 2 processors activated (11993.08 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 15, 2008 15:00:00 UTC 2008 年 11 月 16 日 (日) 0 時 0 分 0 秒 (日本時間)

29×10164+619

c154

name 名前Serge Batalov
date 日付November 18, 2008 06:57:36 UTC 2008 年 11 月 18 日 (火) 15 時 57 分 36 秒 (日本時間)
composite number 合成数
2515936104891199319210067619722540648914314792789491894987050267728767367587831338728546445895809907785893339078962457426043899864092512251094629857784963<154>
prime factors 素因数
529139710257486136769165693925353727749<39>
3543247599221912697675370851675835652468863948412567<52>
1341923476483577207953314651919037091986443271975979972818618161<64>
factorization results 素因数分解の結果
SNFS difficulty: 166 digits.
Divisors found:
 r1=529139710257486136769165693925353727749 (pp39)
 r2=3543247599221912697675370851675835652468863948412567 (pp52)
 r3=1341923476483577207953314651919037091986443271975979972818618161 (pp64)
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.946).
Factorization parameters were as follows:
n: 2515936104891199319210067619722540648914314792789491894987050267728767367587831338728546445895809907785893339078962457426043899864092512251094629857784963
m: 1000000000000000000000000000000000
deg: 5
c5: 29
c0: 610
skew: 1.84
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2050000, 3850001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 712823 x 713065
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,166,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,52,52,2.5,2.5,200000
total time: 23.00 hours.
software ソフトウェア
Msieve-1.38
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 15, 2008 15:00:00 UTC 2008 年 11 月 16 日 (日) 0 時 0 分 0 秒 (日本時間)
351e60--
403e61000 / 2336Serge BatalovNovember 18, 2008 01:14:14 UTC 2008 年 11 月 18 日 (火) 10 時 14 分 14 秒 (日本時間)

29×10167+619

c162

name 名前Serge Batalov
date 日付November 18, 2008 04:59:26 UTC 2008 年 11 月 18 日 (火) 13 時 59 分 26 秒 (日本時間)
composite number 合成数
290182321552631518383000038924456235852986431374832807452922671314386829244814516961006600447060888356154171666057784105753645015163026929820005909713072723592233<162>
prime factors 素因数
126809889244639021357268589157526459258405033<45>
2288325644641308471859080040799162906181921781791384079876889249717810058558308565164012974877788941034747528288278401<118>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1566598641
Step 1 took 25314ms
Step 2 took 16576ms
********** Factor found in step 2: 126809889244639021357268589157526459258405033
Found probable prime factor of 45 digits: 126809889244639021357268589157526459258405033
Probable prime cofactor 2288325644641308471859080040799162906181921781791384079876889249717810058558308565164012974877788941034747528288278401 has 118 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 15, 2008 15:00:00 UTC 2008 年 11 月 16 日 (日) 0 時 0 分 0 秒 (日本時間)
351e60--
403e6480 / 2336Serge BatalovNovember 18, 2008 03:36:10 UTC 2008 年 11 月 18 日 (火) 12 時 36 分 10 秒 (日本時間)

29×10170+619

c140

name 名前Sinkiti Sibata
date 日付September 24, 2009 21:32:07 UTC 2009 年 9 月 25 日 (金) 6 時 32 分 7 秒 (日本時間)
composite number 合成数
35006326233588664358088072938856017419625931388340362803570219538504947562072904955252882575767520615701620286254407141842171583383056664051<140>
prime factors 素因数
167947834692183450740511533147613054941648814323210418408876837823<66>
208435710396318151256506590232155224650182410075738412602346314976990700237<75>
factorization results 素因数分解の結果
Number: 32229_170
N=35006326233588664358088072938856017419625931388340362803570219538504947562072904955252882575767520615701620286254407141842171583383056664051
  ( 140 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=167947834692183450740511533147613054941648814323210418408876837823 (pp66)
 r2=208435710396318151256506590232155224650182410075738412602346314976990700237 (pp75)
Version: Msieve-1.40
Total time: 60.58 hours.
Scaled time: 203.38 units (timescale=3.357).
Factorization parameters were as follows:
name: 32229_170
n: 35006326233588664358088072938856017419625931388340362803570219538504947562072904955252882575767520615701620286254407141842171583383056664051
m: 10000000000000000000000000000000000
deg: 5
c5: 29
c0: 61
skew: 1.16
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2500000, 5600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1003436 x 1003684
Total sieving time: 58.49 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.91 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,171.000,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.4,2.4,100000
total time: 60.58 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 15, 2008 15:00:00 UTC 2008 年 11 月 16 日 (日) 0 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkAugust 1, 2009 16:00:06 UTC 2009 年 8 月 2 日 (日) 1 時 0 分 6 秒 (日本時間)
403e62111Jo Yeong UkSeptember 20, 2009 07:02:47 UTC 2009 年 9 月 20 日 (日) 16 時 2 分 47 秒 (日本時間)

29×10171+619

c140

name 名前Sinkiti Sibata
date 日付February 26, 2010 23:33:41 UTC 2010 年 2 月 27 日 (土) 8 時 33 分 41 秒 (日本時間)
composite number 合成数
36184328420458716783794473621574519650197832134006960704915698070724808137184452641172373678746590331491575976751259652496298638595715225353<140>
prime factors 素因数
71226631131878883139350464208032554581474414542829382003<56>
508016844899796294765545041405496260344918851777071646554863027391782895547905314451<84>
factorization results 素因数分解の結果
Number: 32229_171
N=36184328420458716783794473621574519650197832134006960704915698070724808137184452641172373678746590331491575976751259652496298638595715225353
  ( 140 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=71226631131878883139350464208032554581474414542829382003 (pp56)
 r2=508016844899796294765545041405496260344918851777071646554863027391782895547905314451 (pp84)
Version: Msieve-1.40
Total time: 103.42 hours.
Scaled time: 283.38 units (timescale=2.740).
Factorization parameters were as follows:
name: 32229_171
n: 36184328420458716783794473621574519650197832134006960704915698070724808137184452641172373678746590331491575976751259652496298638595715225353
m: 10000000000000000000000000000000000
deg: 5
c5: 290
c0: 61
skew: 0.73
type: snfs
lss: 1
rlim: 5200000
alim: 5200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2600000, 6300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1014904 x 1015152
Total sieving time: 100.40 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 2.44 hours.
Time per square root: 0.43 hours.
Prototype def-par.txt line would be:
snfs,172.000,5,0,0,0,0,0,0,0,0,5200000,5200000,27,27,52,52,2.4,2.4,100000
total time: 103.42 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 15, 2008 15:00:00 UTC 2008 年 11 月 16 日 (日) 0 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiAugust 12, 2009 05:23:39 UTC 2009 年 8 月 12 日 (水) 14 時 23 分 39 秒 (日本時間)

29×10173+619

c142

name 名前Wataru Sakai
date 日付February 14, 2010 07:29:48 UTC 2010 年 2 月 14 日 (日) 16 時 29 分 48 秒 (日本時間)
composite number 合成数
1219212428927886823031307257985710357266659863805581072575138346655716006818750645157329395278313360984288156872310915214773057346396539762989<142>
prime factors 素因数
1956120059556393313825857328687054738057<40>
623280980618530354112754998027850606457794868374334830048837407078203627611767616000368718395160991877<102>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2430223363
Step 1 took 42334ms
Step 2 took 14646ms
********** Factor found in step 2: 1956120059556393313825857328687054738057
Found probable prime factor of 40 digits: 1956120059556393313825857328687054738057
Probable prime cofactor 623280980618530354112754998027850606457794868374334830048837407078203627611767616000368718395160991877 has 102 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 15, 2008 15:00:00 UTC 2008 年 11 月 16 日 (日) 0 時 0 分 0 秒 (日本時間)

29×10175+619

c139

name 名前Warut Roonguthai
date 日付December 13, 2011 03:46:31 UTC 2011 年 12 月 13 日 (火) 12 時 46 分 31 秒 (日本時間)
composite number 合成数
5232720111814733659152693964126230244119203979072214524105213137663288538530031740572097173060566472721220750286994119744882635993267126233<139>
prime factors 素因数
40616218553747946325251389726230239347046700588212487<53>
128833266565429033303216295774484586152214633565090409337000821461017328891599278358559<87>
factorization results 素因数分解の結果
N = 5232720111814733659152693964126230244119203979072214524105213137663288538530031740572097173060566472721220750286994119744882635993267126233 (139 digits)
SNFS difficulty: 177 digits.
Divisors found:
r1=40616218553747946325251389726230239347046700588212487 (pp53)
r2=128833266565429033303216295774484586152214633565090409337000821461017328891599278358559 (pp87)
Version: Msieve v. 1.48
Total time: 36.30 hours.
Factorization parameters were as follows:
name: (29*10^175+61)/9
n: 5232720111814733659152693964126230244119203979072214524105213137663288538530031740572097173060566472721220750286994119744882635993267126233
Y0: 100000000000000000000000000000000000
Y1: -1
c0: 61
c1: 0
c2: 0
c3: 0
c4: 0
c5: 29
skew: 1.16
type: snfs
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 20861478
Relations: 2390762 relations
Pruned matrix : 1375337 x 1375563
Polynomial selection time: 0.00 hours.
Total sieving time: 33.58 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 2.48 hours.
time per square root: 0.11 hours.
Prototype def-par.txt line would be: snfs,177,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,55,55,2.5,2.5,100000
total time: 36.30 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 KamadaNovember 15, 2008 15:00:00 UTC 2008 年 11 月 16 日 (日) 0 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiSeptember 11, 2010 02:49:26 UTC 2010 年 9 月 11 日 (土) 11 時 49 分 26 秒 (日本時間)
4511e64000Wataru SakaiSeptember 1, 2011 06:19:17 UTC 2011 年 9 月 1 日 (木) 15 時 19 分 17 秒 (日本時間)

29×10176+619

c106

name 名前Serge Batalov
date 日付November 15, 2008 21:07:40 UTC 2008 年 11 月 16 日 (日) 6 時 7 分 40 秒 (日本時間)
composite number 合成数
8157052460127650600999015887788811104483923910650565768139953672806991729710891527763080772707327021930963<106>
prime factors 素因数
13242551548213967681766393163<29>
615972868251949379864943710198946868352151531886241396399834277242076818280601<78>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3363816077
Step 1 took 13026ms
Step 2 took 10539ms
********** Factor found in step 2: 13242551548213967681766393163
Found probable prime factor of 29 digits: 13242551548213967681766393163
Probable prime cofactor 615972868251949379864943710198946868352151531886241396399834277242076818280601 has 78 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 15, 2008 15:00:00 UTC 2008 年 11 月 16 日 (日) 0 時 0 分 0 秒 (日本時間)

29×10177+619

c147

name 名前Alfred Reich
date 日付June 16, 2013 06:49:30 UTC 2013 年 6 月 16 日 (日) 15 時 49 分 30 秒 (日本時間)
composite number 合成数
947981432855101206219552807191970258079809462543839338150546601489647181584321848201870757836322063645333388864077764478885908232145576070320823899<147>
prime factors 素因数
28289956261311611666460271583089028577169222457675633<53>
33509469724826990410891941762891020465273969864670083978847345328008810652209793699780428709003<95>
factorization results 素因数分解の結果
Number: c147
N = 947981432855101206219552807191970258079809462543839338150546601489647181584321848201870757836322063645333388864077764478885908232145576070320823899 (147 digits)
SNFS difficulty: 179 digits.
Divisors found:
r1=28289956261311611666460271583089028577169222457675633 (pp53)
r2=33509469724826990410891941762891020465273969864670083978847345328008810652209793699780428709003 (pp95)
Version: Msieve v. 1.50 (SVN Official Release)
Total time: 4.88 hours.
Factorization parameters were as follows:
n: 947981432855101206219552807191970258079809462543839338150546601489647181584321848201870757836322063645333388864077764478885908232145576070320823899
m: 100000000000000000000000000000000000
deg: 5
c5: 2900
c0: 61
skew: 0.46
# Murphy_E = 9.068e-11
type: snfs
lss: 1
rlim: 6600000
alim: 6600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6600000/6600000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 19959642
Relations: 2205562 relations
Pruned matrix : 1347368 x 1347597
Polynomial selection time: 0.00 hours.
Total sieving time: 3.51 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 1.10 hours.
time per square root: 0.15 hours.
Prototype def-par.txt line would be: snfs,179,5,0,0,0,0,0,0,0,0,6600000,6600000,28,28,53,53,2.5,2.5,100000
total time: 4.88 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.39GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 15, 2008 15:00:00 UTC 2008 年 11 月 16 日 (日) 0 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosNovember 3, 2010 14:25:01 UTC 2010 年 11 月 3 日 (水) 23 時 25 分 1 秒 (日本時間)
403e62144110Ignacio SantosNovember 3, 2010 14:25:01 UTC 2010 年 11 月 3 日 (水) 23 時 25 分 1 秒 (日本時間)
2034Wataru SakaiJanuary 9, 2012 03:12:32 UTC 2012 年 1 月 9 日 (月) 12 時 12 分 32 秒 (日本時間)
4511e6632 / 399132Ignacio SantosNovember 3, 2010 14:25:01 UTC 2010 年 11 月 3 日 (水) 23 時 25 分 1 秒 (日本時間)
600Rich DickersonJune 11, 2012 21:53:42 UTC 2012 年 6 月 12 日 (火) 6 時 53 分 42 秒 (日本時間)

29×10178+619

c157

name 名前Ignacio Santos
date 日付November 3, 2010 14:24:41 UTC 2010 年 11 月 3 日 (水) 23 時 24 分 41 秒 (日本時間)
composite number 合成数
1017215695696800103170751496120117960115121889187835884722515575529540062741296485107889151689183790728722882280504636775844009508482734643585764158480814503<157>
prime factors 素因数
2540233501936432433686111827912088331<37>
composite cofactor 合成数の残り
400441807779234310067614891895165737808738343639084196218154789813396108976909720112042933850717492062420176778626000213<120>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=567999190
Step 1 took 95956ms
Step 2 took 43025ms
********** Factor found in step 2: 2540233501936432433686111827912088331
Found probable prime factor of 37 digits: 2540233501936432433686111827912088331
Composite cofactor 400441807779234310067614891895165737808738343639084196218154789813396108976909720112042933850717492062420176778626000213 has 120 digits
software ソフトウェア
GMP-ECM 6.3

c120

name 名前Erik Branger
date 日付November 12, 2010 16:14:06 UTC 2010 年 11 月 13 日 (土) 1 時 14 分 6 秒 (日本時間)
composite number 合成数
400441807779234310067614891895165737808738343639084196218154789813396108976909720112042933850717492062420176778626000213<120>
prime factors 素因数
114840470553373557910222066346741989439829995877719<51>
3486939803099499897620372468206686585747003527329504268475842555282227<70>
factorization results 素因数分解の結果
Number: 32229_178
N = 400441807779234310067614891895165737808738343639084196218154789813396108976909720112042933850717492062420176778626000213 (120 digits)
Divisors found:
r1=114840470553373557910222066346741989439829995877719 (pp51)
r2=3486939803099499897620372468206686585747003527329504268475842555282227 (pp70)
Version: Msieve v. 1.47
Total time: 57.70 hours.
Factorization parameters were as follows:
# Murphy_E = 3.558e-10, selected by Erik Branger
n: 400441807779234310067614891895165737808738343639084196218154789813396108976909720112042933850717492062420176778626000213
Y0: -216596857715915432777071
Y1: 4634815816843
c0: -940403086539991182318872451972
c1: 25469081039335857851100364
c2: -3045642872462369205
c3: -388274056768104
c4: -57093548
c5: 840
skew: 390331.46
type: gnfs
# selected mechanically
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [2550000, 4250000)
Relations: 8926901
Relations in full relation-set: 1200822 relations
Pruned matrix : 688136 x 688361
Polynomial selection time: 0.00 hours.
Total sieving time: 55.73 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 1.53 hours.
time per square root: 0.17 hours.
Prototype def-par.txt line would be: gnfs,119,5,63,2000,2.6e-05,0.28,250,20,50000,3600,5100000,5100000,27,27,51,51,2.5,2.5,100000
total time: 57.70 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 15, 2008 15:00:00 UTC 2008 年 11 月 16 日 (日) 0 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosNovember 3, 2010 18:16:08 UTC 2010 年 11 月 4 日 (木) 3 時 16 分 8 秒 (日本時間)
403e6910110Ignacio SantosNovember 3, 2010 18:16:08 UTC 2010 年 11 月 4 日 (木) 3 時 16 分 8 秒 (日本時間)
800Ignacio SantosNovember 10, 2010 17:14:42 UTC 2010 年 11 月 11 日 (木) 2 時 14 分 42 秒 (日本時間)
4511e6261 / 404332Ignacio SantosNovember 3, 2010 18:16:08 UTC 2010 年 11 月 4 日 (木) 3 時 16 分 8 秒 (日本時間)
229Ignacio SantosNovember 10, 2010 17:14:42 UTC 2010 年 11 月 11 日 (木) 2 時 14 分 42 秒 (日本時間)
5043e663 / 7459Ignacio SantosNovember 10, 2010 17:14:42 UTC 2010 年 11 月 11 日 (木) 2 時 14 分 42 秒 (日本時間)

29×10179+619

c154

name 名前Rich Dickerson
date 日付July 5, 2012 05:14:41 UTC 2012 年 7 月 5 日 (木) 14 時 14 分 41 秒 (日本時間)
composite number 合成数
7075560159895981333663280084672788998216635987894048016765732570302212199922321571706452170689003316614334339297762774525857958625251631773342796596232193<154>
prime factors 素因数
3873174738031084451212764056590332827<37>
1826811501794731549924930217285556479573220240386972634316564415285051843593737588937241555478387920363354754292890259<118>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=166353795
Step 1 took 6446ms
Step 2 took 2590ms
********** Factor found in step 2: 3873174738031084451212764056590332827
Found probable prime factor of 37 digits: 3873174738031084451212764056590332827
Probable prime cofactor 1826811501794731549924930217285556479573220240386972634316564415285051843593737588937241555478387920363354754292890259 has 118 digits
software ソフトウェア
GMP-ECM 6.4.2 [config GMP 5.0.4] [ECM]
execution environment 実行環境
Core i5, 3.3 GHz, OpenSUSE 11.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 15, 2008 15:00:00 UTC 2008 年 11 月 16 日 (日) 0 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosNovember 3, 2010 14:26:17 UTC 2010 年 11 月 3 日 (水) 23 時 26 分 17 秒 (日本時間)
403e6110 / 2144Ignacio SantosNovember 3, 2010 14:26:17 UTC 2010 年 11 月 3 日 (水) 23 時 26 分 17 秒 (日本時間)
4511e632 / 4441Ignacio SantosNovember 3, 2010 14:26:17 UTC 2010 年 11 月 3 日 (水) 23 時 26 分 17 秒 (日本時間)

29×10181+619

c166

name 名前Ben Meekins
date 日付March 20, 2014 01:14:57 UTC 2014 年 3 月 20 日 (木) 10 時 14 分 57 秒 (日本時間)
composite number 合成数
1077791395867084010999906625750898887326457985050058357540827012671156056627349206107749098380174458021013088112509750684158040822114737593785507989289846740988921339<166>
prime factors 素因数
103979411414014132097161457101695191607137908172532333919287602210499400538384051<81>
10365430821450307750290969808266917833608798220850790620086362628246227710743340500889<86>
factorization results 素因数分解の結果
Number: 32229_181
N = 1077791395867084010999906625750898887326457985050058357540827012671156056627349206107749098380174458021013088112509750684158040822114737593785507989289846740988921339 (166 digits)
SNFS difficulty: 183 digits.
Divisors found:
r1=103979411414014132097161457101695191607137908172532333919287602210499400538384051 (pp81)
r2=10365430821450307750290969808266917833608798220850790620086362628246227710743340500889 (pp86)
Version: Msieve v. 1.52 (SVN 959M)
Total time: 12.15 hours.
Factorization parameters were as follows:
n: 1077791395867084010999906625750898887326457985050058357540827012671156056627349206107749098380174458021013088112509750684158040822114737593785507989289846740988921339
m: 1000000000000000000000000000000000000
deg: 5
c5: 290
c0: 61
skew: 0.73
# Murphy_E = 6.815e-11
type: snfs
lss: 1
rlim: 7700000
alim: 7700000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7700000/7700000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 19215270
Relations: 2801014 relations
Pruned matrix : 1670813 x 1671040
Polynomial selection time: 0.00 hours.
Total sieving time: 10.71 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.00 hours.
time per square root: 0.33 hours.
Prototype def-par.txt line would be: snfs,183,5,0,0,0,0,0,0,0,0,7700000,7700000,28,28,53,53,2.5,2.5,200000
total time: 12.15 hours.
Intel64 Family 6 Model 62 Stepping 4, GenuineIntel
Windows-7-6.1.7600
processors: 12, speed: 3.40GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 15, 2008 15:00:00 UTC 2008 年 11 月 16 日 (日) 0 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosNovember 3, 2010 15:46:58 UTC 2010 年 11 月 4 日 (木) 0 時 46 分 58 秒 (日本時間)
403e6110Ignacio SantosNovember 3, 2010 15:46:58 UTC 2010 年 11 月 4 日 (木) 0 時 46 分 58 秒 (日本時間)
4511e61482 / 356432Ignacio SantosNovember 3, 2010 15:46:58 UTC 2010 年 11 月 4 日 (木) 0 時 46 分 58 秒 (日本時間)
600Rich DickersonJuly 13, 2012 03:56:54 UTC 2012 年 7 月 13 日 (金) 12 時 56 分 54 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:06:00 UTC 2013 年 11 月 9 日 (土) 2 時 6 分 0 秒 (日本時間)
5043e6250 / 7215Rich DickersonJuly 13, 2012 20:23:04 UTC 2012 年 7 月 14 日 (土) 5 時 23 分 4 秒 (日本時間)

29×10182+619

c176

name 名前Ignacio Santos
date 日付September 14, 2010 23:51:04 UTC 2010 年 9 月 15 日 (水) 8 時 51 分 4 秒 (日本時間)
composite number 合成数
42352071043291717458118073455694892408871742433864575806256741555205143282240817118076215881591437194018152594190677406626133398012247897654146532820686340430415919682013640609<176>
prime factors 素因数
1118013576488900487577718105348790979602188185587615549876886799640619<70>
37881535550129505992212652807097057687381828541840535520767829996952902212782143842072900206878488811130211<107>
factorization results 素因数分解の結果
Number: 1
N=42352071043291717458118073455694892408871742433864575806256741555205143282240817118076215881591437194018152594190677406626133398012247897654146532820686340430415919682013640609
  ( 176 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=1118013576488900487577718105348790979602188185587615549876886799640619 (pp70)
 r2=37881535550129505992212652807097057687381828541840535520767829996952902212782143842072900206878488811130211 (pp107)
Version: Msieve-1.40
Total time: 227.56 hours.
Scaled time: 395.73 units (timescale=1.739).
Factorization parameters were as follows:
n: 42352071043291717458118073455694892408871742433864575806256741555205143282240817118076215881591437194018152594190677406626133398012247897654146532820686340430415919682013640609
m: 1000000000000000000000000000000000000
deg: 5
c5: 2900
c0: 61
skew: 0.46
type: snfs
lss: 1
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [4000000, 7800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1404606 x 1404831
Total sieving time: 223.94 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 2.77 hours.
Time per square root: 0.61 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: 227.56 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 15, 2008 15:00:00 UTC 2008 年 11 月 16 日 (日) 0 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosJune 19, 2010 12:40:34 UTC 2010 年 6 月 19 日 (土) 21 時 40 分 34 秒 (日本時間)
403e62446110Ignacio SantosJune 19, 2010 12:40:34 UTC 2010 年 6 月 19 日 (土) 21 時 40 分 34 秒 (日本時間)
2336Wataru SakaiJune 20, 2010 03:02:26 UTC 2010 年 6 月 20 日 (日) 12 時 2 分 26 秒 (日本時間)
4511e632 / 3924Ignacio SantosJune 19, 2010 12:40:34 UTC 2010 年 6 月 19 日 (土) 21 時 40 分 34 秒 (日本時間)

29×10184+619

c151

name 名前Serge Batalov
date 日付November 16, 2008 20:05:02 UTC 2008 年 11 月 17 日 (月) 5 時 5 分 2 秒 (日本時間)
composite number 合成数
4675356583545524825013894413363468556945668380055116447237074166742737435614841099716015771260847567197756157983585416686269102618687233153905689037617<151>
prime factors 素因数
37296769389789298779684908001329<32>
125355537759404243933982601729318974211996976487902842604447040165178893665367161257179742437444317012524654252728521473<120>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2120548678
Step 1 took 15802ms
Step 2 took 12328ms
********** Factor found in step 2: 37296769389789298779684908001329
Found probable prime factor of 32 digits: 37296769389789298779684908001329
Probable prime cofactor 125355537759404243933982601729318974211996976487902842604447040165178893665367161257179742437444317012524654252728521473 has 120 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 15, 2008 15:00:00 UTC 2008 年 11 月 16 日 (日) 0 時 0 分 0 秒 (日本時間)

29×10185+619

c132

name 名前Robert Backstrom
date 日付April 17, 2012 02:27:25 UTC 2012 年 4 月 17 日 (火) 11 時 27 分 25 秒 (日本時間)
composite number 合成数
312676551044095351059812813407309169414678107486719833414303828794712728359329185472359657363335448150372357407809149332264741504437<132>
prime factors 素因数
15050251286524388400394233437985602457708017909741<50>
20775503683719750878033446607322196798140020963203209997397816292065537264414561257<83>
factorization results 素因数分解の結果
Number: n
N=312676551044095351059812813407309169414678107486719833414303828794712728359329185472359657363335448150372357407809149332264741504437
  ( 132 digits)
Divisors found:

Tue Apr 17 12:21:14 2012  prp50 factor: 15050251286524388400394233437985602457708017909741
Tue Apr 17 12:21:14 2012  prp83 factor: 20775503683719750878033446607322196798140020963203209997397816292065537264414561257
Tue Apr 17 12:21:14 2012  elapsed time 01:26:38 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.091).
Factorization parameters were as follows:
name: KA_32229_185
n: 312676551044095351059812813407309169414678107486719833414303828794712728359329185472359657363335448150372357407809149332264741504437
skew: 133311.84
# norm 4.51e+17
c5: 100440
c4: -85409848980
c3: -4884498262428690
c2: 1276457991960507213071
c1: 23469778506048368337108986
c0: -4164831619289160297455572805002
# alpha -5.58
Y1: 237934213515493
Y0: -19890175051462712145116541
# Murphy_E 6.66e-11
# M 161526308454878018138947908799336027005665097569144287353448881975665689353855503408009269721501817910923771849190622426453376188063
type: gnfs
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
qintsize: 60000
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 15360000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2591629 hash collisions in 12906468 relations (10415683 unique)
Msieve: matrix is 975827 x 976052 (280.4 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:
gnfs,131,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5400000,5400000,27,27,51,51,2.5,2.5,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.55 BogoMIPS (lpj=2830779)
Calibrating delay using timer specific routine.. 5660.90 BogoMIPS (lpj=2830450)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830457)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830462)
Total of 4 processors activated (22644.29 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 15, 2008 15:00:00 UTC 2008 年 11 月 16 日 (日) 0 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosNovember 4, 2010 06:41:00 UTC 2010 年 11 月 4 日 (木) 15 時 41 分 0 秒 (日本時間)
403e6880110Ignacio SantosNovember 4, 2010 06:41:00 UTC 2010 年 11 月 4 日 (木) 15 時 41 分 0 秒 (日本時間)
770Ignacio SantosJuly 7, 2011 15:28:02 UTC 2011 年 7 月 8 日 (金) 0 時 28 分 2 秒 (日本時間)
4511e6252 / 405732Ignacio SantosNovember 4, 2010 06:41:00 UTC 2010 年 11 月 4 日 (木) 15 時 41 分 0 秒 (日本時間)
220Ignacio SantosJuly 7, 2011 15:28:02 UTC 2011 年 7 月 8 日 (金) 0 時 28 分 2 秒 (日本時間)
5043e661 / 7462Ignacio SantosJuly 7, 2011 15:28:02 UTC 2011 年 7 月 8 日 (金) 0 時 28 分 2 秒 (日本時間)

29×10186+619

c112

name 名前Sinkiti Sibata
date 日付November 20, 2008 14:32:33 UTC 2008 年 11 月 20 日 (木) 23 時 32 分 33 秒 (日本時間)
composite number 合成数
7687504060539835938241812108807707610084134351196074491195907286991355483346098423276905938072695145759634528013<112>
prime factors 素因数
234409202006688255034232774122567068593<39>
32795231563991643406708561831148438339108461899856497446365159781924774941<74>
factorization results 素因数分解の結果
Number: 32229_186
N=7687504060539835938241812108807707610084134351196074491195907286991355483346098423276905938072695145759634528013
  ( 112 digits)
Divisors found:
 r1=234409202006688255034232774122567068593 (pp39)
 r2=32795231563991643406708561831148438339108461899856497446365159781924774941 (pp74)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 40.91 hours.
Scaled time: 19.31 units (timescale=0.472).
Factorization parameters were as follows:
name: 32229_186
n: 7687504060539835938241812108807707610084134351196074491195907286991355483346098423276905938072695145759634528013
skew: 133187.17
# norm 2.88e+15
c5: 1320
c4: -514310512
c3: -50979482068505
c2: 8010119441520019056
c1: 457410820682172058593724
c0: -16837277770970666611448064400
# alpha -6.23
Y1: 25966459357
Y0: -5662946263637765414111
# Murphy_E 8.13e-10
# M 4200585395635473684294363244070652105637947337899380732823859960862627643749087323514256470378064353059671242202
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 2550001)
Primes: RFBsize:250150, AFBsize:250898, largePrimes:7476257 encountered
Relations: rels:7404514, finalFF:659120
Max relations in full relation-set: 28
Initial matrix: 501131 x 659120 with sparse part having weight 54630815.
Pruned matrix : 365685 x 368254 with weight 28525788.
Total sieving time: 35.12 hours.
Total relation processing time: 0.53 hours.
Matrix solve time: 4.97 hours.
Time per square root: 0.30 hours.
Prototype def-par.txt line would be:
gnfs,111,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 40.91 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
(上の枠に貼り付けた素因数分解ソフトウェアの出力結果に実行環境の情報が含まれていない場合は、それをここに記入してください。例:
Pentium 4 2.4GHz, Windows XP and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 15, 2008 15:00:00 UTC 2008 年 11 月 16 日 (日) 0 時 0 分 0 秒 (日本時間)

29×10188+619

c159

composite cofactor 合成数の残り
927980673273765753329287027289779035826404513063468161614756715575835974469454903486686796064263990177746275221214956124957610976664785111480951380989620121819<159>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 15, 2008 15:00:00 UTC 2008 年 11 月 16 日 (日) 0 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosNovember 4, 2010 06:41:27 UTC 2010 年 11 月 4 日 (木) 15 時 41 分 27 秒 (日本時間)
403e6710110Ignacio SantosNovember 4, 2010 06:41:27 UTC 2010 年 11 月 4 日 (木) 15 時 41 分 27 秒 (日本時間)
300Dmitry DomanovJuly 29, 2012 23:11:03 UTC 2012 年 7 月 30 日 (月) 8 時 11 分 3 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:40:41 UTC 2014 年 1 月 9 日 (木) 13 時 40 分 41 秒 (日本時間)
4511e61332 / 430832Ignacio SantosNovember 4, 2010 06:41:27 UTC 2010 年 11 月 4 日 (木) 15 時 41 分 27 秒 (日本時間)
1000Rich DickersonApril 23, 2014 19:41:44 UTC 2014 年 4 月 24 日 (木) 4 時 41 分 44 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:09 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 9 秒 (日本時間)

29×10189+619

c182

name 名前Dmitry Domanov
date 日付June 19, 2010 14:29:16 UTC 2010 年 6 月 19 日 (土) 23 時 29 分 16 秒 (日本時間)
composite number 合成数
44253934613129959585185774423781229435129822877151765738934353626413011536971759685820137332685925737902657070783876948132021810908757553496181922358354802481161851589080126773727647<182>
prime factors 素因数
27761759538197974059562430563756658119<38>
composite cofactor 合成数の残り
1594060871834872849232550589685222453981967176450655020577707866167574633834981155680666100440925348543054119622244370855518420960468096525335913<145>
factorization results 素因数分解の結果
Factor=27761759538197974059562430563756658119  Method=ECM  B1=11000000  Sigma=745784242

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 15, 2008 15:00:00 UTC 2008 年 11 月 16 日 (日) 0 時 0 分 0 秒 (日本時間)
351e60--
403e6600300Dmitry DomanovJuly 29, 2012 23:11:22 UTC 2012 年 7 月 30 日 (月) 8 時 11 分 22 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:40:42 UTC 2014 年 1 月 9 日 (木) 13 時 40 分 42 秒 (日本時間)
4511e61220 / 4346120Dmitry DomanovJune 19, 2010 14:28:49 UTC 2010 年 6 月 19 日 (土) 23 時 28 分 49 秒 (日本時間)
800Rich DickersonApril 26, 2014 16:09:03 UTC 2014 年 4 月 27 日 (日) 1 時 9 分 3 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:10 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 10 秒 (日本時間)

29×10191+619

c184

name 名前Wataru Sakai
date 日付June 25, 2010 04:40:35 UTC 2010 年 6 月 25 日 (金) 13 時 40 分 35 秒 (日本時間)
composite number 合成数
3363923496440831483891694000894021827833743546984106810528636505958272354825128519190170310238343247912052414855642483630605978651815348100699968565062904655999667579400028955957473191<184>
prime factors 素因数
379303974482798675248238166951237817007<39>
8868674526882355234973355445859789489790998075767556557156388179756291637299020314187352134439505695549752457306171417232581001111488746467250313<145>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1526137747
Step 1 took 18295ms
Step 2 took 7115ms
********** Factor found in step 2: 379303974482798675248238166951237817007
Found probable prime factor of 39 digits: 379303974482798675248238166951237817007
Probable prime cofactor 8868674526882355234973355445859789489790998075767556557156388179756291637299020314187352134439505695549752457306171417232581001111488746467250313 has 145 digits
software ソフトウェア
GMP-ECM 6.2.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 15, 2008 15:00:00 UTC 2008 年 11 月 16 日 (日) 0 時 0 分 0 秒 (日本時間)
351e60--
403e60 / 1494--
4511e6244 / 4479Dmitry DomanovJune 20, 2010 22:48:38 UTC 2010 年 6 月 21 日 (月) 7 時 48 分 38 秒 (日本時間)

29×10192+619

c155

name 名前Serge Batalov
date 日付November 16, 2008 20:03:07 UTC 2008 年 11 月 17 日 (月) 5 時 3 分 7 秒 (日本時間)
composite number 合成数
10849121967432783435433709905975163756907236545614341389337186301854592550957294449665408413295437699480136427699042552921245744133416908715484185839000217<155>
prime factors 素因数
2316834160594153819667107946835624439<37>
4682735670925414078866118621047739953536644987195349759769350594785717948649737367633121436688424842703068559636997103<118>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=114559045
Step 1 took 54535ms
Step 2 took 19111ms
********** Factor found in step 2: 2316834160594153819667107946835624439
Found probable prime factor of 37 digits: 2316834160594153819667107946835624439
Probable prime cofactor 4682735670925414078866118621047739953536644987195349759769350594785717948649737367633121436688424842703068559636997103 has 118 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 15, 2008 15:00:00 UTC 2008 年 11 月 16 日 (日) 0 時 0 分 0 秒 (日本時間)

29×10196+619

c191

name 名前Robert Backstrom
date 日付March 21, 2010 12:16:02 UTC 2010 年 3 月 21 日 (日) 21 時 16 分 2 秒 (日本時間)
composite number 合成数
42572488102090588089010558123851001576503274925347674096153047213916917000236791114857490064095082862944040226009999249843399304541706431572579265935799807131948729218570236751478403050186651<191>
prime factors 素因数
535383153471366207293599582647649694658194498513989714439941005811<66>
79517795481712862975438893710418218764367905840397644053578933124464639481303860666705648812614049901515346528747413843584441<125>
factorization results 素因数分解の結果
Number: n
N=42572488102090588089010558123851001576503274925347674096153047213916917000236791114857490064095082862944040226009999249843399304541706431572579265935799807131948729218570236751478403050186651
  ( 191 digits)
SNFS difficulty: 197 digits.
Divisors found:

Sun Mar 21 22:53:17 2010  prp66 factor: 535383153471366207293599582647649694658194498513989714439941005811
Sun Mar 21 22:53:17 2010  prp125 factor: 79517795481712862975438893710418218764367905840397644053578933124464639481303860666705648812614049901515346528747413843584441
Sun Mar 21 22:53:17 2010  elapsed time 04:59:08 (Msieve 1.42 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.092).
Factorization parameters were as follows:
name: KA_3_2_195_9
n: 42572488102090588089010558123851001576503274925347674096153047213916917000236791114857490064095082862944040226009999249843399304541706431572579265935799807131948729218570236751478403050186651
m: 1000000000000000000000000000000000000000
deg: 5
c5: 290
c0: 61
skew: 0.73
type: snfs
lss: 1
rlim: 13700000
alim: 13700000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 13700000/13700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 20750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4489339 hash collisions in 30842377 relations
Msieve: matrix is 1934042 x 1934267 (546.4 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,197,5,0,0,0,0,0,0,0,0,13700000,13700000,28,28,56,56,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.44 BogoMIPS (lpj=2830723)
Calibrating delay using timer specific routine.. 5660.90 BogoMIPS (lpj=2830452)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830461)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830458)
Total of 4 processors activated (22644.18 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 15, 2008 15:00:00 UTC 2008 年 11 月 16 日 (日) 0 時 0 分 0 秒 (日本時間)
351e6825Wataru SakaiSeptember 6, 2009 09:44:40 UTC 2009 年 9 月 6 日 (日) 18 時 44 分 40 秒 (日本時間)
403e62111Wataru SakaiSeptember 10, 2009 10:46:58 UTC 2009 年 9 月 10 日 (木) 19 時 46 分 58 秒 (日本時間)
4511e60--
5043e61145 / 7469yoyo@homeJanuary 24, 2010 12:00:24 UTC 2010 年 1 月 24 日 (日) 21 時 0 分 24 秒 (日本時間)

29×10198+619

c199

name 名前Wataru Sakai
date 日付November 30, 2008 02:06:53 UTC 2008 年 11 月 30 日 (日) 11 時 6 分 53 秒 (日本時間)
composite number 合成数
3222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229<199>
prime factors 素因数
2095371728411637326523016514560361<34>
74843311724277390714103497997979276379695056502313658840857218754233651055714689<80>
20546668414495269636043870873401510005927188389041146706716965258195301264107264535501<86>
factorization results 素因数分解の結果
Number: 32229_198
N=3222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229
  ( 199 digits)
SNFS difficulty: 200 digits.
Divisors found:
 r1=2095371728411637326523016514560361
 r2=74843311724277390714103497997979276379695056502313658840857218754233651055714689
 r3=20546668414495269636043870873401510005927188389041146706716965258195301264107264535501
Version: 
Total time: 1037.76 hours.
Scaled time: 2075.52 units (timescale=2.000).
Factorization parameters were as follows:
n: 3222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229
m: 5000000000000000000000000000000000000000
deg: 5
c5: 232
c0: 1525
skew: 1.46
type: snfs
lss: 1
rlim: 15600000
alim: 15600000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6Factor base limits: 15600000/15600000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [7800000, 19100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3123383 x 3123631
Total sieving time: 1037.76 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,200,5,0,0,0,0,0,0,0,0,15600000,15600000,29,29,56,56,2.6,2.6,100000
total time: 1037.76 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 15, 2008 15:00:00 UTC 2008 年 11 月 16 日 (日) 0 時 0 分 0 秒 (日本時間)

29×10199+619

c180

name 名前matsui
date 日付July 29, 2011 08:10:35 UTC 2011 年 7 月 29 日 (金) 17 時 10 分 35 秒 (日本時間)
composite number 合成数
179526953811962077517626844990218997705992172418021898012968771461675072121551491298203982166028696506047366457220746235393598371705485400254124347716557835279191524400712202724171<180>
prime factors 素因数
58343388779761257704951851639157<32>
3077074499214522748632213611056655095717140680566341705973669110785949514958750371170369577914576307101651781314268732187605947947179696724581063103<148>
factorization results 素因数分解の結果
N=179526953811962077517626844990218997705992172418021898012968771461675072121551491298203982166028696506047366457220746235393598371705485400254124347716557835279191524400712202724171
  ( 180 digits)
SNFS difficulty: 200 digits.
Divisors found:
 r1=58343388779761257704951851639157 (pp32)
 r2=3077074499214522748632213611056655095717140680566341705973669110785949514958750371170369577914576307101651781314268732187605947947179696724581063103 (pp148)
Version: Msieve v. 1.49
Total time:
Scaled time: 65.00 units (timescale=0.692).
Factorization parameters were as follows:
n: 179526953811962077517626844990218997705992172418021898012968771461675072121551491298203982166028696506047366457220746235393598371705485400254124347716557835279191524400712202724171
m: 1000000000000000000000000000000000000000
deg: 5
c5: 290000
c0: 61
skew: 0.18
type: snfs
lss: 1
rlim: 15400000
alim: 15400000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 320000
Factor base limits: 15400000/15400000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [7700000, 17620001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3140078 x 3140305
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,200.000,5,0,0,0,0,0,0,0,0,15400000,15400000,29,29,56,56,2.6,2.6,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 15, 2008 15:00:00 UTC 2008 年 11 月 16 日 (日) 0 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosNovember 4, 2010 06:42:01 UTC 2010 年 11 月 4 日 (木) 15 時 42 分 1 秒 (日本時間)
403e6110 / 2144Ignacio SantosNovember 4, 2010 06:42:01 UTC 2010 年 11 月 4 日 (木) 15 時 42 分 1 秒 (日本時間)
4511e632 / 4441Ignacio SantosNovember 4, 2010 06:42:01 UTC 2010 年 11 月 4 日 (木) 15 時 42 分 1 秒 (日本時間)

29×10203+619

c133

name 名前Erik Branger
date 日付October 17, 2010 18:35:43 UTC 2010 年 10 月 18 日 (月) 3 時 35 分 43 秒 (日本時間)
composite number 合成数
5865110280112024589875592931491103149597283302369395522615446862463735209218207169949343690941344264536303528123728681781244195706623<133>
prime factors 素因数
189105340714732018807362024601812909796876588160084676971<57>
31015043033393875969979370408433774167764409119914189614811849006170997486013<77>
factorization results 素因数分解の結果
Number: 32229_203
N = 5865110280112024589875592931491103149597283302369395522615446862463735209218207169949343690941344264536303528123728681781244195706623 (133 digits)
Divisors found:
r1=189105340714732018807362024601812909796876588160084676971 (pp57)
r2=31015043033393875969979370408433774167764409119914189614811849006170997486013 (pp77)
Version: Msieve v. 1.47
Total time: 219.08 hours.
Factorization parameters were as follows:
# Murphy_E = 5.172057e-11, selected by Jeff Gilchrist
n: 5865110280112024589875592931491103149597283302369395522615446862463735209218207169949343690941344264536303528123728681781244195706623
Y0: -42392166806471181055402032
Y1: 540883127374777
c0: 3746853529432020416406806211329095
c1: 137579291536842721822750187
c2: -120489443723064925804621
c3: -74623527199268735
c4: -10487622582
c5: 42840
skew: 854949.78
type: gnfs
# selected mechanically
rlim: 11600000
alim: 11600000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 11600000/11600000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [5800000, 13600000)
Relations: 20333614
Relations in full relation-set: 3092318 relations
Pruned matrix : 1822672 x 1822897
Polynomial selection time: 0.00 hours.
Total sieving time: 214.35 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 3.30 hours.
time per square root: 1.25 hours.
Prototype def-par.txt line would be: gnfs,132,5,65,2000,1e-05,0.28,250,20,50000,3600,11600000,11600000,28,28,54,54,2.6,2.6,100000
total time: 219.08 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 15, 2008 15:00:00 UTC 2008 年 11 月 16 日 (日) 0 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiApril 27, 2009 13:32:29 UTC 2009 年 4 月 27 日 (月) 22 時 32 分 29 秒 (日本時間)
4511e64000Wataru SakaiAugust 22, 2010 06:18:55 UTC 2010 年 8 月 22 日 (日) 15 時 18 分 55 秒 (日本時間)

29×10204+619

c176

composite cofactor 合成数の残り
26033980666203886860446573036014641174767230836122737859566861104395148369081898237361732842027882452062462508159945693964060375583189106115086281929404912737673226823717802349<176>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 15, 2008 15:00:00 UTC 2008 年 11 月 16 日 (日) 0 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosNovember 4, 2010 06:42:27 UTC 2010 年 11 月 4 日 (木) 15 時 42 分 27 秒 (日本時間)
403e62010110Ignacio SantosNovember 4, 2010 06:42:27 UTC 2010 年 11 月 4 日 (木) 15 時 42 分 27 秒 (日本時間)
300Dmitry DomanovJuly 29, 2012 23:11:37 UTC 2012 年 7 月 30 日 (月) 8 時 11 分 37 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:40:42 UTC 2014 年 1 月 9 日 (木) 13 時 40 分 42 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:01 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 1 秒 (日本時間)
4511e648 / 396232Ignacio SantosNovember 4, 2010 06:42:27 UTC 2010 年 11 月 4 日 (木) 15 時 42 分 27 秒 (日本時間)
8KTakahashiSeptember 22, 2014 12:16:36 UTC 2014 年 9 月 22 日 (月) 21 時 16 分 36 秒 (日本時間)
8KTakahashiSeptember 22, 2014 12:16:59 UTC 2014 年 9 月 22 日 (月) 21 時 16 分 59 秒 (日本時間)
5043e60 / 7446--
5511e78 / 17750KTakahashiSeptember 22, 2014 12:16:59 UTC 2014 年 9 月 22 日 (月) 21 時 16 分 59 秒 (日本時間)

29×10207+619

c162

composite cofactor 合成数の残り
675842819426564463258972337959413709949445399178367208167595514453565526339940561886226636813069022100081548988215579864399642691681867667499858875038981015551821<162>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaJuly 27, 2012 00:00:00 UTC 2012 年 7 月 27 日 (金) 9 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiJuly 27, 2012 19:05:44 UTC 2012 年 7 月 28 日 (土) 4 時 5 分 44 秒 (日本時間)
403e61900300Dmitry DomanovJuly 29, 2012 23:11:49 UTC 2012 年 7 月 30 日 (月) 8 時 11 分 49 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:40:43 UTC 2014 年 1 月 9 日 (木) 13 時 40 分 43 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:01 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 1 秒 (日本時間)
4511e60 / 3943--
5043e60 / 7453--
5511e79 / 17753KTakahashiSeptember 22, 2014 12:17:31 UTC 2014 年 9 月 22 日 (月) 21 時 17 分 31 秒 (日本時間)

29×10208+619

c197

composite cofactor 合成数の残り
99392876150684838329896593142419158153868104359901932039100311764945760674597005053680747196666663079553775004552410172825886496345561510564122499512169943664908097968832185125506726384508434471049<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaJuly 27, 2012 00:00:00 UTC 2012 年 7 月 27 日 (金) 9 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiJuly 27, 2012 19:06:10 UTC 2012 年 7 月 28 日 (土) 4 時 6 分 10 秒 (日本時間)
403e61900300Dmitry DomanovJuly 29, 2012 23:12:01 UTC 2012 年 7 月 30 日 (月) 8 時 12 分 1 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:40:44 UTC 2014 年 1 月 9 日 (木) 13 時 40 分 44 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:01 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 1 秒 (日本時間)
4511e60 / 3897--
5043e632 / 7475CypFebruary 14, 2014 05:54:01 UTC 2014 年 2 月 14 日 (金) 14 時 54 分 1 秒 (日本時間)

29×10209+619

c184

composite cofactor 合成数の残り
2237416482735362840152457888484107982485450090217442577316267829365192094956489028387782408537774510611754190273665067113638479822332922364743232182657724502300215051534866269999715147<184>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaJuly 27, 2012 00:00:00 UTC 2012 年 7 月 27 日 (金) 9 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiJuly 27, 2012 19:06:26 UTC 2012 年 7 月 28 日 (土) 4 時 6 分 26 秒 (日本時間)
403e61900300Dmitry DomanovJuly 29, 2012 23:12:14 UTC 2012 年 7 月 30 日 (月) 8 時 12 分 14 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:40:45 UTC 2014 年 1 月 9 日 (木) 13 時 40 分 45 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:02 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 2 秒 (日本時間)
4511e60 / 3943--
5043e60 / 7453--
5511e79 / 17753KTakahashiSeptember 22, 2014 12:18:00 UTC 2014 年 9 月 22 日 (月) 21 時 18 分 0 秒 (日本時間)

29×10211+619

c126

name 名前Warut Roonguthai
date 日付July 29, 2012 02:20:41 UTC 2012 年 7 月 29 日 (日) 11 時 20 分 41 秒 (日本時間)
composite number 合成数
186476771178701390074688502249150683705023081769599120604820361071918196523006652387893261695171235085030384331042537634328133<126>
prime factors 素因数
52154353453241924319560890202927112733180397474933203295729669<62>
3575478533079388778507243385843793124916203081914006745805173057<64>
factorization results 素因数分解の結果
N = 186476771178701390074688502249150683705023081769599120604820361071918196523006652387893261695171235085030384331042537634328133 (126 digits)
Divisors found:
r1=52154353453241924319560890202927112733180397474933203295729669 (pp62)
r2=3575478533079388778507243385843793124916203081914006745805173057 (pp64)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 15.98 hours.
Factorization parameters were as follows:
n: 186476771178701390074688502249150683705023081769599120604820361071918196523006652387893261695171235085030384331042537634328133
Y0: -2194971120503797912205575
Y1: 27522889323457
c0: -47948404405690332881571194132256
c1: 131579826316088058065001348
c2: 699131899002956469168
c3: 1102304857240403
c4: -267056176
c5: 3660
skew: 509363.68 
type: gnfs
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 18187764
Relations: 1926078 relations
Pruned matrix : 1072586 x 1072816
Polynomial selection time: 0.00 hours.
Total sieving time: 14.64 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.16 hours.
time per square root: 0.09 hours.
Prototype def-par.txt line would be: gnfs,125,5,65,2000,1e-05,0.28,250,20,50000,3600,5800000,5800000,28,28,55,55,2.5,2.5,100000
total time: 15.98 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 27, 2012 00:00:00 UTC 2012 年 7 月 27 日 (金) 9 時 0 分 0 秒 (日本時間)

29×10213+619

c174

composite cofactor 合成数の残り
284086005181514298916555126357364447927365141781882301606940895669385740201401493818361477680651787190083267186104484384699644504026747540007464940706822500059744041971178033<174>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaJuly 27, 2012 00:00:00 UTC 2012 年 7 月 27 日 (金) 9 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiJuly 27, 2012 19:06:48 UTC 2012 年 7 月 28 日 (土) 4 時 6 分 48 秒 (日本時間)
403e6600300Dmitry DomanovJuly 29, 2012 23:28:59 UTC 2012 年 7 月 30 日 (月) 8 時 28 分 59 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:40:46 UTC 2014 年 1 月 9 日 (木) 13 時 40 分 46 秒 (日本時間)
4511e6303 / 36863CypJanuary 7, 2014 07:14:46 UTC 2014 年 1 月 7 日 (火) 16 時 14 分 46 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:10 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 10 秒 (日本時間)
5043e6174 / 745624CypJanuary 25, 2014 14:49:57 UTC 2014 年 1 月 25 日 (土) 23 時 49 分 57 秒 (日本時間)
150CypFebruary 6, 2014 21:36:54 UTC 2014 年 2 月 7 日 (金) 6 時 36 分 54 秒 (日本時間)

29×10214+619

c205

name 名前Serge Batalov
date 日付May 19, 2014 01:55:11 UTC 2014 年 5 月 19 日 (月) 10 時 55 分 11 秒 (日本時間)
composite number 合成数
2351696386632906484372207561372703855293168872591397111140352866256505854797138350230980583379420847210409175864576628281763222535694422223417336485453718427255124246785502666487446350267929885573940897901<205>
prime factors 素因数
177328316363148054188127363647887997<36>
39884922419102522560358134710728902808207887<44>
332502113018174021203556184314067324115168737159764197114048388242399254833211693933898766044406238540307164328535987869604159<126>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=1593219988
Step 1 took 63759ms
Step 2 took 33071ms
********** Factor found in step 2: 39884922419102522560358134710728902808207887
Found probable prime factor of 44 digits: 39884922419102522560358134710728902808207887

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=3784781022
Step 1 took 64010ms
Step 2 took 33044ms
********** Factor found in step 2: 177328316363148054188127363647887997
Found probable prime factor of 36 digits: 177328316363148054188127363647887997

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaJuly 27, 2012 00:00:00 UTC 2012 年 7 月 27 日 (金) 9 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiJuly 27, 2012 19:08:01 UTC 2012 年 7 月 28 日 (土) 4 時 8 分 1 秒 (日本時間)
403e6600 / 2045300Dmitry DomanovJuly 29, 2012 23:29:12 UTC 2012 年 7 月 30 日 (月) 8 時 29 分 12 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:40:49 UTC 2014 年 1 月 9 日 (木) 13 時 40 分 49 秒 (日本時間)

29×10215+619

c216

name 名前matsui
date 日付August 27, 2012 19:55:10 UTC 2012 年 8 月 28 日 (火) 4 時 55 分 10 秒 (日本時間)
composite number 合成数
322222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229<216>
prime factors 素因数
5985390914010572697391294057154645350392271258498586115373<58>
53834783199868546355454318268686142015363764646355387945884014906527038081708377282997330624793978864809172762590464494324869510722578985168027095072644600073<158>
factorization results 素因数分解の結果
N=322222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229
  ( 216 digits)
SNFS difficulty: 217 digits.
Divisors found:
 r1=5985390914010572697391294057154645350392271258498586115373 (pp58)
 r2=53834783199868546355454318268686142015363764646355387945884014906527038081708377282997330624793978864809172762590464494324869510722578985168027095072644600073 (pp158)
Version: Msieve v. 1.51 (SVN Unversioned directory)
Total time:
Scaled time: 143.68 units (timescale=1.549).
Factorization parameters were as follows:
n: 322222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229
m: 1000000000000000000000000000000000000
deg: 6
c6: 29
c0: 610
skew: 1.66
# Murphy_E = 1.78e-12
type: snfs
lss: 1
rlim: 29000000
alim: 29000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
qintsize: 1600000
Factor base limits: 29000000/29000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved rational special-q in [14500000, 76900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 6680990 x 6681217
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,217.000,6,0,0,0,0,0,0,0,0,29000000,29000000,29,29,58,58,2.6,2.6,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaJuly 27, 2012 00:00:00 UTC 2012 年 7 月 27 日 (金) 9 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiJuly 27, 2012 19:08:12 UTC 2012 年 7 月 28 日 (土) 4 時 8 分 12 秒 (日本時間)
403e6300Dmitry DomanovJuly 29, 2012 23:29:26 UTC 2012 年 7 月 30 日 (月) 8 時 29 分 26 秒 (日本時間)
4511e62000 / 4363Dmitry DomanovAugust 15, 2012 20:36:54 UTC 2012 年 8 月 16 日 (木) 5 時 36 分 54 秒 (日本時間)

29×10216+619

c193

name 名前Warut Roonguthai
date 日付July 27, 2012 05:23:06 UTC 2012 年 7 月 27 日 (金) 14 時 23 分 6 秒 (日本時間)
composite number 合成数
2006307776927459013876459029727739692575433223078564589691024299138342353368071094348666737103982252417969064355111412439777682896232602308175842148890101879860442956303127013204597211727008777<193>
prime factors 素因数
3139707276637854211716158740657783<34>
composite cofactor 合成数の残り
639011092484999896914452993064910907211905564306799851332780497343421361052323891155903480694395305993583991661442452806691760179399826866902834051386869672319<159>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=89796715
Step 1 took 10640ms
Step 2 took 6146ms
********** Factor found in step 2: 3139707276637854211716158740657783
Found probable prime factor of 34 digits: 3139707276637854211716158740657783
Composite cofactor 639011092484999896914452993064910907211905564306799851332780497343421361052323891155903480694395305993583991661442452806691760179399826866902834051386869672319 has 159 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaJuly 27, 2012 00:00:00 UTC 2012 年 7 月 27 日 (金) 9 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiJuly 27, 2012 19:08:24 UTC 2012 年 7 月 28 日 (土) 4 時 8 分 24 秒 (日本時間)
403e61900300Dmitry DomanovJuly 29, 2012 23:29:39 UTC 2012 年 7 月 30 日 (月) 8 時 29 分 39 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:40:50 UTC 2014 年 1 月 9 日 (木) 13 時 40 分 50 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:02 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 2 秒 (日本時間)
4511e60 / 3943--
5043e60 / 7453--
5511e79 / 17753KTakahashiSeptember 22, 2014 12:18:21 UTC 2014 年 9 月 22 日 (月) 21 時 18 分 21 秒 (日本時間)

29×10219+619

c185

composite cofactor 合成数の残り
62091894111451565132870563093019008770615860768559373811330207235844525819457295378269343774697871436378361754934950431227755653842676477153118038497276611069890643611751704265621294023<185>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaJuly 27, 2012 00:00:00 UTC 2012 年 7 月 27 日 (金) 9 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiJuly 27, 2012 19:08:46 UTC 2012 年 7 月 28 日 (土) 4 時 8 分 46 秒 (日本時間)
403e61900300Dmitry DomanovJuly 29, 2012 23:29:52 UTC 2012 年 7 月 30 日 (月) 8 時 29 分 52 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:40:51 UTC 2014 年 1 月 9 日 (木) 13 時 40 分 51 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:02 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 2 秒 (日本時間)
4511e60 / 3943--
5043e60 / 7453--
5511e79 / 17753KTakahashiSeptember 24, 2014 09:38:55 UTC 2014 年 9 月 24 日 (水) 18 時 38 分 55 秒 (日本時間)

29×10220+619

c183

composite cofactor 合成数の残り
144506023505384262205735630149242664466583447389207691951909547922294879428567845438086988034845847716576899821346776169387007382153715607787011483433960201187578710649472904295367819<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaJuly 27, 2012 00:00:00 UTC 2012 年 7 月 27 日 (金) 9 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiJuly 27, 2012 19:08:57 UTC 2012 年 7 月 28 日 (土) 4 時 8 分 57 秒 (日本時間)
403e61900300Dmitry DomanovJuly 29, 2012 23:30:02 UTC 2012 年 7 月 30 日 (月) 8 時 30 分 2 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:40:51 UTC 2014 年 1 月 9 日 (木) 13 時 40 分 51 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:03 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 3 秒 (日本時間)
4511e60 / 3943--
5043e60 / 7453--
5511e79 / 17753KTakahashiSeptember 22, 2014 12:18:35 UTC 2014 年 9 月 22 日 (月) 21 時 18 分 35 秒 (日本時間)

29×10222+619

c215

name 名前Serge Batalov
date 日付May 19, 2014 02:28:49 UTC 2014 年 5 月 19 日 (月) 11 時 28 分 49 秒 (日本時間)
composite number 合成数
54362788181100195944296430506147982381635212385543765635241673964542928671378574454315845726047925645442682454625128750062524236079150712430244036861877009219360878107045874932980758034305989902517004403642659978799<215>
prime factors 素因数
6358740769863677707579506993699166774309<40>
composite cofactor 合成数の残り
8549300899125292733306027262936654616048746382320471822765318327062983032569281502210691768132472590813514382424139006580254410681158703530049601847164938264956258297603964611<175>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=407264291
Step 1 took 21300ms
********** Factor found in step 1: 6358740769863677707579506993699166774309
Found probable prime factor of 40 digits: 6358740769863677707579506993699166774309
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaJuly 27, 2012 00:00:00 UTC 2012 年 7 月 27 日 (金) 9 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiJuly 27, 2012 19:09:17 UTC 2012 年 7 月 28 日 (土) 4 時 9 分 17 秒 (日本時間)
403e61900300Dmitry DomanovJuly 29, 2012 23:30:12 UTC 2012 年 7 月 30 日 (月) 8 時 30 分 12 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:40:52 UTC 2014 年 1 月 9 日 (木) 13 時 40 分 52 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:03 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 3 秒 (日本時間)
4511e60 / 3943--
5043e60 / 7453--
5511e79 / 17753KTakahashiSeptember 22, 2014 12:18:49 UTC 2014 年 9 月 22 日 (月) 21 時 18 分 49 秒 (日本時間)

29×10224+619

c183

name 名前Warut Roonguthai
date 日付July 27, 2012 08:08:19 UTC 2012 年 7 月 27 日 (金) 17 時 8 分 19 秒 (日本時間)
composite number 合成数
244320670669441765407393818559620850665227386658588623726481142624312559697489580666778001210275977828823559868625758847993693745978514922703724405124561133347481508554208389722843029<183>
prime factors 素因数
20653063673051407953295399196341<32>
11829754390784985110822608776643589130721102777901247068806333085571593829528068122244902773084369202194432402149690260245833441724826213149060287625569<152>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1268000069
Step 1 took 10437ms
Step 2 took 6365ms
********** Factor found in step 2: 20653063673051407953295399196341
Found probable prime factor of 32 digits: 20653063673051407953295399196341
Probable prime cofactor 11829754390784985110822608776643589130721102777901247068806333085571593829528068122244902773084369202194432402149690260245833441724826213149060287625569 has 152 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 27, 2012 00:00:00 UTC 2012 年 7 月 27 日 (金) 9 時 0 分 0 秒 (日本時間)

29×10227+619

c213

name 名前Warut Roonguthai
date 日付July 27, 2012 08:13:49 UTC 2012 年 7 月 27 日 (金) 17 時 13 分 49 秒 (日本時間)
composite number 合成数
744492570970853894221920930090563034150660613228643426167307390811238888966576716536824588918598137181603610926861136656611473847117729072185554042199926956714320974375337991316050193614423019963670003861653608823<213>
prime factors 素因数
1318076964800092349417352192267347<34>
564832396630016375109926741442724751604086272021545261379613344089827541475690866872815553436261431433679845305924283685007728519325752735811539556497413597809271907599824575644109<180>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=715143844
Step 1 took 12964ms
Step 2 took 7285ms
********** Factor found in step 2: 1318076964800092349417352192267347
Found probable prime factor of 34 digits: 1318076964800092349417352192267347
Probable prime cofactor 564832396630016375109926741442724751604086272021545261379613344089827541475690866872815553436261431433679845305924283685007728519325752735811539556497413597809271907599824575644109 has 180 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 27, 2012 00:00:00 UTC 2012 年 7 月 27 日 (金) 9 時 0 分 0 秒 (日本時間)

29×10228+619

c210

composite cofactor 合成数の残り
373301275021267545349899285236637373904020499067957797955545959560578606839943427944091345927159391472810023598993064934084997275541652634864017937324098555254065253922387305916594058089748964181574397480321989<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaJuly 27, 2012 00:00:00 UTC 2012 年 7 月 27 日 (金) 9 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiJuly 27, 2012 19:09:43 UTC 2012 年 7 月 28 日 (土) 4 時 9 分 43 秒 (日本時間)
403e61900300Dmitry DomanovJuly 29, 2012 23:30:23 UTC 2012 年 7 月 30 日 (月) 8 時 30 分 23 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:40:53 UTC 2014 年 1 月 9 日 (木) 13 時 40 分 53 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:04 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 4 秒 (日本時間)
4511e6372 / 4009CypFebruary 19, 2014 21:03:00 UTC 2014 年 2 月 20 日 (木) 6 時 3 分 0 秒 (日本時間)

29×10229+619

c221

composite cofactor 合成数の残り
21012161696379620719078297562410763020285748587892291138332570913929474547609555261142275287862737047453222061031336377865287736222821879320364681765948242012532077681387072665196822047832539762711430229940437859182539611<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaJuly 27, 2012 00:00:00 UTC 2012 年 7 月 27 日 (金) 9 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiJuly 27, 2012 19:09:53 UTC 2012 年 7 月 28 日 (土) 4 時 9 分 53 秒 (日本時間)
403e61900300Dmitry DomanovJuly 29, 2012 23:30:34 UTC 2012 年 7 月 30 日 (月) 8 時 30 分 34 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:40:56 UTC 2014 年 1 月 9 日 (木) 13 時 40 分 56 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:04 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 4 秒 (日本時間)
4511e60 / 3921--
5043e625 / 7475CypJanuary 26, 2014 21:38:45 UTC 2014 年 1 月 27 日 (月) 6 時 38 分 45 秒 (日本時間)

29×10230+619

c189

composite cofactor 合成数の残り
566490275735523810802959289325065778793338502389821219904155977811842634062469238338636885050980883265943642770960262038973234627480075983411934841396507912019204476070503977819223772223737<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaJuly 27, 2012 00:00:00 UTC 2012 年 7 月 27 日 (金) 9 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiJuly 27, 2012 19:10:04 UTC 2012 年 7 月 28 日 (土) 4 時 10 分 4 秒 (日本時間)
403e61900300Dmitry DomanovJuly 29, 2012 23:30:44 UTC 2012 年 7 月 30 日 (月) 8 時 30 分 44 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:40:57 UTC 2014 年 1 月 9 日 (木) 13 時 40 分 57 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:05 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 5 秒 (日本時間)
4511e60 / 3943--
5043e60 / 7453--
5511e79 / 17753KTakahashiSeptember 22, 2014 12:19:06 UTC 2014 年 9 月 22 日 (月) 21 時 19 分 6 秒 (日本時間)

29×10231+619

c197

name 名前Warut Roonguthai
date 日付July 27, 2012 13:40:39 UTC 2012 年 7 月 27 日 (金) 22 時 40 分 39 秒 (日本時間)
composite number 合成数
98022289165855893012101090944006336508490980655430244710492756307421995523259956397832103108572867780903375682648576034241737704059965735587473543860951579969662250740324826301106742135388893480531<197>
prime factors 素因数
426039281766818341115565418330029034711<39>
230078054679253439064600278124067488278946296889442211780754945460142653982297421488000717545156377759915256499613579041611317325207026403976995162075303675621<159>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=241782513
Step 1 took 10904ms
Step 2 took 6084ms
********** Factor found in step 2: 426039281766818341115565418330029034711
Found probable prime factor of 39 digits: 426039281766818341115565418330029034711
Probable prime cofactor 230078054679253439064600278124067488278946296889442211780754945460142653982297421488000717545156377759915256499613579041611317325207026403976995162075303675621 has 159 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 27, 2012 00:00:00 UTC 2012 年 7 月 27 日 (金) 9 時 0 分 0 秒 (日本時間)

29×10232+619

c207

composite cofactor 合成数の残り
133256622759369270260466919335868658311439543438804080900122911511455312846636603181413742569747542058760563045100714018015154044063585293020479592056595281365224181567712987208024230710709180289648802408023<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaJuly 27, 2012 00:00:00 UTC 2012 年 7 月 27 日 (金) 9 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiJuly 27, 2012 19:10:23 UTC 2012 年 7 月 28 日 (土) 4 時 10 分 23 秒 (日本時間)
403e61900300Dmitry DomanovJuly 29, 2012 23:30:58 UTC 2012 年 7 月 30 日 (月) 8 時 30 分 58 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:40:58 UTC 2014 年 1 月 9 日 (木) 13 時 40 分 58 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:05 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 5 秒 (日本時間)
4511e60 / 3943--
5043e60 / 7453--
5511e79 / 17753KTakahashiSeptember 22, 2014 12:19:20 UTC 2014 年 9 月 22 日 (月) 21 時 19 分 20 秒 (日本時間)

29×10233+619

c226

composite cofactor 合成数の残り
1826339018852023662700772117001572749326996118312274545493697811957120529842462383069990455810494030265486898767439504253448164436929978849098547746412678606186704407244551077704171214164229947828982221374977253656013782944773<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaJuly 27, 2012 00:00:00 UTC 2012 年 7 月 27 日 (金) 9 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiJuly 27, 2012 19:10:34 UTC 2012 年 7 月 28 日 (土) 4 時 10 分 34 秒 (日本時間)
403e61900300Dmitry DomanovJuly 29, 2012 23:33:37 UTC 2012 年 7 月 30 日 (月) 8 時 33 分 37 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:41:02 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 2 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:05 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 5 秒 (日本時間)
4511e60 / 3943--
5043e60 / 7453--
5511e79 / 17753KTakahashiSeptember 22, 2014 12:19:33 UTC 2014 年 9 月 22 日 (月) 21 時 19 分 33 秒 (日本時間)

29×10234+619

c234

name 名前Dmitry Domanov
date 日付August 17, 2012 06:57:40 UTC 2012 年 8 月 17 日 (金) 15 時 57 分 40 秒 (日本時間)
composite number 合成数
189542483660130718954248366013071895424836601307189542483660130718954248366013071895424836601307189542483660130718954248366013071895424836601307189542483660130718954248366013071895424836601307189542483660130718954248366013071895424837<234>
prime factors 素因数
537025939589628766629534151245348915727<39>
composite cofactor 合成数の残り
352948469872741376053722753229416268707870488462773365832212156710484336091881358278968155617765391407373158214519406487761987236584884669924514413696319685178159678909587918945724676450904429931<195>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1957866823
Step 1 took 136811ms
Step 2 took 40167ms
********** Factor found in step 2: 537025939589628766629534151245348915727
Found probable prime factor of 39 digits: 537025939589628766629534151245348915727

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaJuly 27, 2012 00:00:00 UTC 2012 年 7 月 27 日 (金) 9 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiJuly 27, 2012 19:10:48 UTC 2012 年 7 月 28 日 (土) 4 時 10 分 48 秒 (日本時間)
403e6300Dmitry DomanovJuly 29, 2012 23:33:49 UTC 2012 年 7 月 30 日 (月) 8 時 33 分 49 秒 (日本時間)
4511e61300 / 43631000Dmitry DomanovAugust 16, 2012 19:33:04 UTC 2012 年 8 月 17 日 (金) 4 時 33 分 4 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:11 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 11 秒 (日本時間)

29×10235+619

c234

composite cofactor 合成数の残り
826210826210826210826210826210826210826210826210826210826210826210826210826210826210826210826210826210826210826210826210826210826210826210826210826210826210826210826210826210826210826210826210826210826210826210826210826210826210826211<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaJuly 27, 2012 00:00:00 UTC 2012 年 7 月 27 日 (金) 9 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiJuly 27, 2012 19:11:18 UTC 2012 年 7 月 28 日 (土) 4 時 11 分 18 秒 (日本時間)
403e6300Dmitry DomanovJuly 29, 2012 23:34:01 UTC 2012 年 7 月 30 日 (月) 8 時 34 分 1 秒 (日本時間)
4511e630501000Dmitry DomanovAugust 16, 2012 19:32:32 UTC 2012 年 8 月 17 日 (金) 4 時 32 分 32 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:16:47 UTC 2013 年 11 月 9 日 (土) 2 時 16 分 47 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:29:27 UTC 2014 年 1 月 6 日 (月) 11 時 29 分 27 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:24:42 UTC 2014 年 2 月 24 日 (月) 4 時 24 分 42 秒 (日本時間)
5043e6760 / 6851Serge BatalovFebruary 24, 2014 02:26:40 UTC 2014 年 2 月 24 日 (月) 11 時 26 分 40 秒 (日本時間)

29×10238+619

c215

composite cofactor 合成数の残り
28877802886364742742778629255710213993697868450841778547034432409865718883581449890597294625884864437514257291596926324985429898422015869938825778955238659698399851151742318777152347184628872048320610415775966459121<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaJuly 27, 2012 00:00:00 UTC 2012 年 7 月 27 日 (金) 9 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiJuly 27, 2012 19:11:43 UTC 2012 年 7 月 28 日 (土) 4 時 11 分 43 秒 (日本時間)
403e61900300Dmitry DomanovJuly 29, 2012 23:34:11 UTC 2012 年 7 月 30 日 (月) 8 時 34 分 11 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:41:02 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 2 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:06 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 6 秒 (日本時間)
4511e60 / 3921--
5043e625 / 7475CypJanuary 12, 2014 12:58:59 UTC 2014 年 1 月 12 日 (日) 21 時 58 分 59 秒 (日本時間)

29×10240+619

c201

composite cofactor 合成数の残り
966544026905148309171594293492383380084871080254845379672517573352178223637941866564628875604578102917227184814680182825483042195342894380565971343228961273461007248398054940246793266188984737600256117<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaJuly 27, 2012 00:00:00 UTC 2012 年 7 月 27 日 (金) 9 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiJuly 27, 2012 19:11:53 UTC 2012 年 7 月 28 日 (土) 4 時 11 分 53 秒 (日本時間)
403e61900300Dmitry DomanovJuly 29, 2012 23:34:26 UTC 2012 年 7 月 30 日 (月) 8 時 34 分 26 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:41:03 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 3 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:06 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 6 秒 (日本時間)
4511e60 / 3943--
5043e60 / 7453--
5511e79 / 17753KTakahashiSeptember 22, 2014 12:19:51 UTC 2014 年 9 月 22 日 (月) 21 時 19 分 51 秒 (日本時間)

29×10242+619

c226

composite cofactor 合成数の残り
4202726482178099937636071519437079372100385166003962182803403643718895667984933551029190754409200394421477711003819552079501156486368717633464742156841764949240030929886281792230037034888195878740146047711865778960593451188993<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaJuly 27, 2012 00:00:00 UTC 2012 年 7 月 27 日 (金) 9 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiJuly 27, 2012 19:12:11 UTC 2012 年 7 月 28 日 (土) 4 時 12 分 11 秒 (日本時間)
403e61900300Dmitry DomanovJuly 29, 2012 23:34:37 UTC 2012 年 7 月 30 日 (月) 8 時 34 分 37 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:41:04 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 4 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:06 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 6 秒 (日本時間)
4511e60 / 3943--
5043e60 / 7453--
5511e79 / 17753KTakahashiSeptember 22, 2014 12:20:05 UTC 2014 年 9 月 22 日 (月) 21 時 20 分 5 秒 (日本時間)

29×10243+619

c230

composite cofactor 合成数の残り
21864237514744442275751691426659638346148437215501694472218079040417394640687307559740009869234010391409987653483318128238514023836168323391505536167137856001517117543406407188312913557639788737603018914541742237224011451465887691<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaJuly 27, 2012 00:00:00 UTC 2012 年 7 月 27 日 (金) 9 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiJuly 27, 2012 19:12:22 UTC 2012 年 7 月 28 日 (土) 4 時 12 分 22 秒 (日本時間)
403e61900300Dmitry DomanovJuly 29, 2012 23:34:48 UTC 2012 年 7 月 30 日 (月) 8 時 34 分 48 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:41:05 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 5 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:07 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 7 秒 (日本時間)
4511e60 / 3943--
5043e60 / 7453--
5511e79 / 17753KTakahashiSeptember 22, 2014 12:31:26 UTC 2014 年 9 月 22 日 (月) 21 時 31 分 26 秒 (日本時間)

29×10245+619

c134

name 名前Markus Tervooren
date 日付August 27, 2012 22:04:09 UTC 2012 年 8 月 28 日 (火) 7 時 4 分 9 秒 (日本時間)
composite number 合成数
14310786913238977967023956354678292357614922476451990887256347656295190449530998667318855322651730743931488807552872102219189540161241<134>
prime factors 素因数
740770176214218904926202658643720733713293359<45>
19318794644751636077923137877648167380900570756121632816463968620298668600456033419329399<89>
factorization results 素因数分解の結果
Mon Aug 27 21:14:02 2012  Msieve v. 1.50 (SVN exported)
Mon Aug 27 21:14:02 2012  random seeds: dee57b9f 97b5580a
Mon Aug 27 21:14:02 2012  factoring 14310786913238977967023956354678292357614922476451990887256347656295190449530998667318855322651730743931488807552872102219189540161241 (134 digits)
Mon Aug 27 21:14:03 2012  searching for 15-digit factors
Mon Aug 27 21:14:03 2012  commencing number field sieve (134-digit input)
Mon Aug 27 21:14:03 2012  R0: -85899033286366832910766122
Mon Aug 27 21:14:03 2012  R1: 89668817973781
Mon Aug 27 21:14:03 2012  A0: 2922137643430470312519178993440905
Mon Aug 27 21:14:03 2012  A1: -18709087816261914574018298762
Mon Aug 27 21:14:03 2012  A2: -2771053829913140757398
Mon Aug 27 21:14:03 2012  A3: 25137151695560189
Mon Aug 27 21:14:03 2012  A4: 4773857580
Mon Aug 27 21:14:03 2012  A5: 3060
Mon Aug 27 21:14:03 2012  skew 1191811.74, size 7.550e-13, alpha -7.066, combined = 5.159e-11 rroots = 3
Mon Aug 27 21:14:03 2012  
Mon Aug 27 21:14:03 2012  commencing relation filtering
Mon Aug 27 21:14:03 2012  estimated available RAM is 16079.7 MB
Mon Aug 27 21:14:03 2012  commencing duplicate removal, pass 1
Mon Aug 27 21:14:06 2012  error -9 reading relation 266426
Mon Aug 27 21:14:16 2012  error -15 reading relation 1215246
Mon Aug 27 21:14:18 2012  error -9 reading relation 1477792
Mon Aug 27 21:14:28 2012  error -15 reading relation 2398376
Mon Aug 27 21:14:31 2012  error -9 reading relation 2653261
Mon Aug 27 21:14:41 2012  error -9 reading relation 3550416
Mon Aug 27 21:14:43 2012  error -5 reading relation 3797726
Mon Aug 27 21:14:53 2012  error -9 reading relation 4672108
Mon Aug 27 21:14:55 2012  error -15 reading relation 4914707
Mon Aug 27 21:15:04 2012  error -9 reading relation 5771957
Mon Aug 27 21:15:07 2012  error -15 reading relation 6008895
Mon Aug 27 21:15:09 2012  error -15 reading relation 6231753
Mon Aug 27 21:15:12 2012  error -15 reading relation 6449903
Mon Aug 27 21:15:13 2012  error -15 reading relation 6576465
Mon Aug 27 21:15:14 2012  error -11 reading relation 6699908
Mon Aug 27 21:15:16 2012  error -9 reading relation 6821781
Mon Aug 27 21:15:17 2012  error -15 reading relation 6941396
Mon Aug 27 21:15:18 2012  error -15 reading relation 7060719
Mon Aug 27 21:15:20 2012  error -11 reading relation 7176057
Mon Aug 27 21:15:21 2012  error -15 reading relation 7291497
Mon Aug 27 21:15:22 2012  error -15 reading relation 7404078
Mon Aug 27 21:15:22 2012  error -1 reading relation 7408556
Mon Aug 27 21:15:22 2012  error -9 reading relation 7408602
Mon Aug 27 21:15:22 2012  error -9 reading relation 7410591
Mon Aug 27 21:15:23 2012  error -11 reading relation 7486446
Mon Aug 27 21:15:23 2012  error -15 reading relation 7490921
Mon Aug 27 21:15:23 2012  error -9 reading relation 7493001
Mon Aug 27 21:15:24 2012  error -1 reading relation 7550826
Mon Aug 27 21:15:24 2012  error -15 reading relation 7555163
Mon Aug 27 21:15:24 2012  error -15 reading relation 7557288
Mon Aug 27 21:15:24 2012  error -9 reading relation 7614966
Mon Aug 27 21:15:24 2012  error -9 reading relation 7619299
Mon Aug 27 21:15:24 2012  error -1 reading relation 7621196
Mon Aug 27 21:15:25 2012  error -9 reading relation 7677806
Mon Aug 27 21:15:49 2012  error -9 reading relation 9884192
Mon Aug 27 21:16:18 2012  error -5 reading relation 12631439
Mon Aug 27 21:16:48 2012  error -15 reading relation 15391576
Mon Aug 27 21:17:17 2012  error -15 reading relation 18094048
Mon Aug 27 21:17:46 2012  error -1 reading relation 20798114
Mon Aug 27 21:17:53 2012  error -15 reading relation 21475728
Mon Aug 27 21:18:14 2012  error -9 reading relation 23396885
Mon Aug 27 21:18:19 2012  found 3625148 hash collisions in 23919498 relations
Mon Aug 27 21:19:10 2012  added 120913 free relations
Mon Aug 27 21:19:10 2012  commencing duplicate removal, pass 2
Mon Aug 27 21:20:19 2012  found 3246589 duplicates and 20793822 unique relations
Mon Aug 27 21:20:19 2012  memory use: 106.6 MB
Mon Aug 27 21:20:19 2012  reading ideals above 720000
Mon Aug 27 21:20:19 2012  commencing singleton removal, initial pass
Mon Aug 27 21:24:58 2012  memory use: 689.0 MB
Mon Aug 27 21:24:59 2012  reading all ideals from disk
Mon Aug 27 21:24:59 2012  memory use: 647.6 MB
Mon Aug 27 21:25:03 2012  keeping 20767820 ideals with weight <= 200, target excess is 126640
Mon Aug 27 21:25:07 2012  commencing in-memory singleton removal
Mon Aug 27 21:25:10 2012  begin with 20793821 relations and 20767820 unique ideals
Mon Aug 27 21:25:48 2012  reduce to 10431887 relations and 8985050 ideals in 16 passes
Mon Aug 27 21:25:48 2012  max relations containing the same ideal: 127
Mon Aug 27 21:25:57 2012  removing 2097768 relations and 1697768 ideals in 400000 cliques
Mon Aug 27 21:25:58 2012  commencing in-memory singleton removal
Mon Aug 27 21:25:59 2012  begin with 8334119 relations and 8985050 unique ideals
Mon Aug 27 21:26:16 2012  reduce to 8088156 relations and 7030682 ideals in 11 passes
Mon Aug 27 21:26:16 2012  max relations containing the same ideal: 108
Mon Aug 27 21:26:22 2012  removing 1589042 relations and 1189042 ideals in 400000 cliques
Mon Aug 27 21:26:23 2012  commencing in-memory singleton removal
Mon Aug 27 21:26:24 2012  begin with 6499114 relations and 7030682 unique ideals
Mon Aug 27 21:26:32 2012  reduce to 6297575 relations and 5630675 ideals in 7 passes
Mon Aug 27 21:26:32 2012  max relations containing the same ideal: 87
Mon Aug 27 21:26:38 2012  removing 1433994 relations and 1033994 ideals in 400000 cliques
Mon Aug 27 21:26:38 2012  commencing in-memory singleton removal
Mon Aug 27 21:26:39 2012  begin with 4863581 relations and 5630675 unique ideals
Mon Aug 27 21:26:46 2012  reduce to 4645177 relations and 4365820 ideals in 9 passes
Mon Aug 27 21:26:46 2012  max relations containing the same ideal: 69
Mon Aug 27 21:26:50 2012  removing 596028 relations and 463574 ideals in 132454 cliques
Mon Aug 27 21:26:50 2012  commencing in-memory singleton removal
Mon Aug 27 21:26:51 2012  begin with 4049149 relations and 4365820 unique ideals
Mon Aug 27 21:26:56 2012  reduce to 3999201 relations and 3851024 ideals in 7 passes
Mon Aug 27 21:26:56 2012  max relations containing the same ideal: 63
Mon Aug 27 21:27:00 2012  relations with 0 large ideals: 460
Mon Aug 27 21:27:00 2012  relations with 1 large ideals: 2168
Mon Aug 27 21:27:00 2012  relations with 2 large ideals: 30087
Mon Aug 27 21:27:00 2012  relations with 3 large ideals: 177768
Mon Aug 27 21:27:00 2012  relations with 4 large ideals: 556402
Mon Aug 27 21:27:00 2012  relations with 5 large ideals: 1010800
Mon Aug 27 21:27:00 2012  relations with 6 large ideals: 1116045
Mon Aug 27 21:27:00 2012  relations with 7+ large ideals: 1105471
Mon Aug 27 21:27:00 2012  commencing 2-way merge
Mon Aug 27 21:27:04 2012  reduce to 2578912 relation sets and 2430735 unique ideals
Mon Aug 27 21:27:04 2012  commencing full merge
Mon Aug 27 21:28:01 2012  memory use: 291.1 MB
Mon Aug 27 21:28:01 2012  found 1329643 cycles, need 1308935
Mon Aug 27 21:28:02 2012  weight of 1308935 cycles is about 91971772 (70.26/cycle)
Mon Aug 27 21:28:02 2012  distribution of cycle lengths:
Mon Aug 27 21:28:02 2012  1 relations: 137567
Mon Aug 27 21:28:02 2012  2 relations: 145605
Mon Aug 27 21:28:02 2012  3 relations: 151717
Mon Aug 27 21:28:02 2012  4 relations: 146366
Mon Aug 27 21:28:02 2012  5 relations: 136757
Mon Aug 27 21:28:02 2012  6 relations: 121405
Mon Aug 27 21:28:02 2012  7 relations: 104808
Mon Aug 27 21:28:02 2012  8 relations: 87634
Mon Aug 27 21:28:02 2012  9 relations: 71668
Mon Aug 27 21:28:02 2012  10+ relations: 205408
Mon Aug 27 21:28:02 2012  heaviest cycle: 20 relations
Mon Aug 27 21:28:03 2012  commencing cycle optimization
Mon Aug 27 21:28:05 2012  start with 7443672 relations
Mon Aug 27 21:28:20 2012  pruned 211347 relations
Mon Aug 27 21:28:20 2012  memory use: 239.4 MB
Mon Aug 27 21:28:20 2012  distribution of cycle lengths:
Mon Aug 27 21:28:20 2012  1 relations: 137567
Mon Aug 27 21:28:20 2012  2 relations: 148978
Mon Aug 27 21:28:20 2012  3 relations: 157489
Mon Aug 27 21:28:20 2012  4 relations: 150756
Mon Aug 27 21:28:20 2012  5 relations: 141062
Mon Aug 27 21:28:20 2012  6 relations: 124344
Mon Aug 27 21:28:20 2012  7 relations: 106803
Mon Aug 27 21:28:20 2012  8 relations: 87564
Mon Aug 27 21:28:20 2012  9 relations: 70342
Mon Aug 27 21:28:20 2012  10+ relations: 184030
Mon Aug 27 21:28:20 2012  heaviest cycle: 20 relations
Mon Aug 27 21:28:22 2012  RelProcTime: 859
Mon Aug 27 21:28:22 2012  elapsed time 00:14:20
Mon Aug 27 21:29:00 2012  
Mon Aug 27 21:29:00 2012  
Mon Aug 27 21:29:00 2012  Msieve v. 1.50 (SVN exported)
Mon Aug 27 21:29:00 2012  random seeds: 0c8cf03f 21b7cd5b
Mon Aug 27 21:29:00 2012  factoring 14310786913238977967023956354678292357614922476451990887256347656295190449530998667318855322651730743931488807552872102219189540161241 (134 digits)
Mon Aug 27 21:29:00 2012  searching for 15-digit factors
Mon Aug 27 21:29:00 2012  commencing number field sieve (134-digit input)
Mon Aug 27 21:29:00 2012  R0: -85899033286366832910766122
Mon Aug 27 21:29:00 2012  R1: 89668817973781
Mon Aug 27 21:29:00 2012  A0: 2922137643430470312519178993440905
Mon Aug 27 21:29:00 2012  A1: -18709087816261914574018298762
Mon Aug 27 21:29:00 2012  A2: -2771053829913140757398
Mon Aug 27 21:29:00 2012  A3: 25137151695560189
Mon Aug 27 21:29:00 2012  A4: 4773857580
Mon Aug 27 21:29:00 2012  A5: 3060
Mon Aug 27 21:29:00 2012  skew 1191811.74, size 7.550e-13, alpha -7.066, combined = 5.159e-11 rroots = 3
Mon Aug 27 21:29:00 2012  
Mon Aug 27 21:29:00 2012  commencing linear algebra
Mon Aug 27 21:29:01 2012  read 1308935 cycles
Mon Aug 27 21:29:03 2012  cycles contain 3899742 unique relations
Mon Aug 27 21:30:41 2012  read 3899742 relations
Mon Aug 27 21:30:48 2012  using 20 quadratic characters above 268434194
Mon Aug 27 21:31:05 2012  building initial matrix
Mon Aug 27 21:31:53 2012  memory use: 527.0 MB
Mon Aug 27 21:31:54 2012  read 1308935 cycles
Mon Aug 27 21:31:54 2012  matrix is 1308761 x 1308935 (396.9 MB) with weight 125366736 (95.78/col)
Mon Aug 27 21:31:54 2012  sparse part has weight 88334564 (67.49/col)
Mon Aug 27 21:32:09 2012  filtering completed in 2 passes
Mon Aug 27 21:32:10 2012  matrix is 1308087 x 1308267 (396.8 MB) with weight 125338192 (95.80/col)
Mon Aug 27 21:32:10 2012  sparse part has weight 88325042 (67.51/col)
Mon Aug 27 21:32:13 2012  matrix starts at (0, 0)
Mon Aug 27 21:32:14 2012  matrix is 1308087 x 1308267 (396.8 MB) with weight 125338192 (95.80/col)
Mon Aug 27 21:32:14 2012  sparse part has weight 88325042 (67.51/col)
Mon Aug 27 21:32:14 2012  saving the first 48 matrix rows for later
Mon Aug 27 21:32:14 2012  matrix includes 64 packed rows
Mon Aug 27 21:32:14 2012  matrix is 1308039 x 1308267 (383.9 MB) with weight 100061163 (76.48/col)
Mon Aug 27 21:32:14 2012  sparse part has weight 87548211 (66.92/col)
Mon Aug 27 21:32:14 2012  using block size 65536 for processor cache size 6144 kB
Mon Aug 27 21:32:18 2012  commencing Lanczos iteration (4 threads)
Mon Aug 27 21:32:18 2012  memory use: 328.7 MB
Mon Aug 27 21:32:25 2012  linear algebra at 0.1%, ETA 1h40m
Mon Aug 27 21:32:27 2012  checkpointing every 820000 dimensions
Mon Aug 27 23:07:49 2012  lanczos halted after 20686 iterations (dim = 1308038)
Mon Aug 27 23:07:50 2012  recovered 31 nontrivial dependencies
Mon Aug 27 23:07:50 2012  BLanczosTime: 5930
Mon Aug 27 23:07:50 2012  elapsed time 01:38:50
Mon Aug 27 23:53:20 2012  
Mon Aug 27 23:53:20 2012  
Mon Aug 27 23:53:20 2012  Msieve v. 1.50 (SVN exported)
Mon Aug 27 23:53:20 2012  random seeds: da418d57 371b3ae0
Mon Aug 27 23:53:20 2012  factoring 14310786913238977967023956354678292357614922476451990887256347656295190449530998667318855322651730743931488807552872102219189540161241 (134 digits)
Mon Aug 27 23:53:21 2012  searching for 15-digit factors
Mon Aug 27 23:53:21 2012  commencing number field sieve (134-digit input)
Mon Aug 27 23:53:21 2012  R0: -85899033286366832910766122
Mon Aug 27 23:53:21 2012  R1: 89668817973781
Mon Aug 27 23:53:21 2012  A0: 2922137643430470312519178993440905
Mon Aug 27 23:53:21 2012  A1: -18709087816261914574018298762
Mon Aug 27 23:53:21 2012  A2: -2771053829913140757398
Mon Aug 27 23:53:21 2012  A3: 25137151695560189
Mon Aug 27 23:53:21 2012  A4: 4773857580
Mon Aug 27 23:53:21 2012  A5: 3060
Mon Aug 27 23:53:21 2012  skew 1191811.74, size 7.550e-13, alpha -7.066, combined = 5.159e-11 rroots = 3
Mon Aug 27 23:53:21 2012  
Mon Aug 27 23:53:21 2012  commencing square root phase
Mon Aug 27 23:53:21 2012  reading relations for dependency 1
Mon Aug 27 23:53:21 2012  read 655695 cycles
Mon Aug 27 23:53:22 2012  cycles contain 1952674 unique relations
Mon Aug 27 23:54:40 2012  read 1952674 relations
Mon Aug 27 23:54:49 2012  multiplying 1952674 relations
Mon Aug 27 23:56:06 2012  multiply complete, coefficients have about 87.43 million bits
Mon Aug 27 23:56:07 2012  initial square root is modulo 1885291
Mon Aug 27 23:57:46 2012  sqrtTime: 265
Mon Aug 27 23:57:46 2012  prp45 factor: 740770176214218904926202658643720733713293359
Mon Aug 27 23:57:46 2012  prp89 factor: 19318794644751636077923137877648167380900570756121632816463968620298668600456033419329399
Mon Aug 27 23:57:46 2012  elapsed time 00:04:26

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e62118118Makoto KamadaJuly 27, 2012 00:00:00 UTC 2012 年 7 月 27 日 (金) 9 時 0 分 0 秒 (日本時間)
2000Warut RoonguthaiJuly 27, 2012 19:12:46 UTC 2012 年 7 月 28 日 (土) 4 時 12 分 46 秒 (日本時間)
403e6300Dmitry DomanovJuly 29, 2012 23:35:00 UTC 2012 年 7 月 30 日 (月) 8 時 35 分 0 秒 (日本時間)
4511e6450 / 4316Dmitry DomanovAugust 17, 2012 12:25:40 UTC 2012 年 8 月 17 日 (金) 21 時 25 分 40 秒 (日本時間)

29×10246+619

c234

composite cofactor 合成数の残り
123920267744592146795616415575460747427681604031972877217891407946112369721124299983571216433074766492169501715723368402614431150471094445072651693871437835184265233452021770519548032363636518133703390961779508770175732700087008036279<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaJuly 27, 2012 00:00:00 UTC 2012 年 7 月 27 日 (金) 9 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiJuly 27, 2012 19:13:42 UTC 2012 年 7 月 28 日 (土) 4 時 13 分 42 秒 (日本時間)
403e61900300Dmitry DomanovJuly 29, 2012 23:35:10 UTC 2012 年 7 月 30 日 (月) 8 時 35 分 10 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:41:06 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 6 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:07 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 7 秒 (日本時間)
4511e60 / 3943--
5043e60 / 7453--
5511e79 / 17753KTakahashiSeptember 22, 2014 12:52:44 UTC 2014 年 9 月 22 日 (月) 21 時 52 分 44 秒 (日本時間)

29×10249+619

c212

name 名前Warut Roonguthai
date 日付July 27, 2012 04:23:37 UTC 2012 年 7 月 27 日 (金) 13 時 23 分 37 秒 (日本時間)
composite number 合成数
25419144908622384689942547699919406936055537104199147633832794100185878033446784748884035066509882635501937731599986289690872475902206405598229174467647242991595290153466248194224834364951722773049349191323568019<212>
prime factors 素因数
26304264995878487133882070177547<32>
composite cofactor 合成数の残り
966350700641329895962417687170993642060000514036881116901085847325504496209241224245926613439823137046374334809679162501318976888918156504108223196624600430867799519510325139162777<180>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1284408956
Step 1 took 9875ms
Step 2 took 6286ms
********** Factor found in step 2: 26304264995878487133882070177547
Found probable prime factor of 32 digits: 26304264995878487133882070177547
Composite cofactor 966350700641329895962417687170993642060000514036881116901085847325504496209241224245926613439823137046374334809679162501318976888918156504108223196624600430867799519510325139162777 has 180 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaJuly 27, 2012 00:00:00 UTC 2012 年 7 月 27 日 (金) 9 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiJuly 27, 2012 19:13:37 UTC 2012 年 7 月 28 日 (土) 4 時 13 分 37 秒 (日本時間)
403e6600300Dmitry DomanovJuly 29, 2012 23:35:21 UTC 2012 年 7 月 30 日 (月) 8 時 35 分 21 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:41:07 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 7 秒 (日本時間)
4511e6719 / 4296419CypMarch 8, 2014 10:50:50 UTC 2014 年 3 月 8 日 (土) 19 時 50 分 50 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:11 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 11 秒 (日本時間)

29×10252+619

c253

composite cofactor 合成数の残り
3222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovSeptember 9, 2016 15:48:12 UTC 2016 年 9 月 10 日 (土) 0 時 48 分 12 秒 (日本時間)
4511e62000Dmitry DomanovSeptember 10, 2016 00:38:23 UTC 2016 年 9 月 10 日 (土) 9 時 38 分 23 秒 (日本時間)
5043e67060640Dmitry DomanovSeptember 10, 2016 22:37:18 UTC 2016 年 9 月 11 日 (日) 7 時 37 分 18 秒 (日本時間)
2000Dmitry DomanovJanuary 7, 2017 14:08:47 UTC 2017 年 1 月 7 日 (土) 23 時 8 分 47 秒 (日本時間)
1600Dmitry DomanovJanuary 25, 2017 13:41:25 UTC 2017 年 1 月 25 日 (水) 22 時 41 分 25 秒 (日本時間)
1820Dmitry DomanovFebruary 9, 2017 17:44:05 UTC 2017 年 2 月 10 日 (金) 2 時 44 分 5 秒 (日本時間)
1000Dmitry DomanovMarch 3, 2017 15:21:43 UTC 2017 年 3 月 4 日 (土) 0 時 21 分 43 秒 (日本時間)

29×10254+619

c214

name 名前Serge Batalov
date 日付September 10, 2016 17:17:47 UTC 2016 年 9 月 11 日 (日) 2 時 17 分 47 秒 (日本時間)
composite number 合成数
3343995716243675930506941939164315829874429418917785539968560601804384729823301213643060148169619228317218431865612528228156687931593379509627287417701762722612815126803874925656693174102116470322345808324620640469<214>
prime factors 素因数
5841144291509617355869724492695992133<37>
572489832361158012673504551675980200335511190085353623540426520869430695763485159260653104029554895161127617548919394076426697429528255378798198479281523344197392043503016563793<177>
factorization results 素因数分解の結果
Using B1=6000000, B2=6000000-35128842850, polynomial Dickson(12), sigma=1736156334
Step 1 took 28962ms
Step 2 took 15016ms
********** Factor found in step 2: 5841144291509617355869724492695992133
Found probable prime factor of 37 digits: 5841144291509617355869724492695992133
Probable prime cofactor

ECM

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

29×10256+619

c205

composite cofactor 合成数の残り
6325549867667924242777036223384604312934760081191855658526542634941798225563686688324323466126553680461933028896724939679902454158093666938348520941592381142608674481025067208122076484115265487617010629201<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 20, 2016 07:24:26 UTC 2016 年 9 月 20 日 (火) 16 時 24 分 26 秒 (日本時間)

29×10259+619

c256

name 名前Erik Branger
date 日付September 20, 2016 07:24:58 UTC 2016 年 9 月 20 日 (火) 16 時 24 分 58 秒 (日本時間)
composite number 合成数
1006346925957157382248734258478472851189050945445586127681133771267754215379063125713552022930829264568606834136675793192236553990512577601493557644592967370068466292583223155695750092826828515013655086736694532066030238990044105756651432656304763491121591<256>
prime factors 素因数
2559625822632856860163843923917033981<37>
393161733663875454506037789820044930314769524615086660254588875229727525210876526573019418755598450172287908085094281255002507474495328924657505661622552200956750151437397978698680146027690346420085994238799002895023811<219>
factorization results 素因数分解の結果
Mon 2016/09/19 18:28:57 UTC GMP-ECM 7.0-dev [configured with GMP 6.1.0, --enable-asm-redc] [ECM]
Mon 2016/09/19 18:28:57 UTC Input number is 1006346925957157382248734258478472851189050945445586127681133771267754215379063125713552022930829264568606834136675793192236553990512577601493557644592967370068466292583223155695750092826828515013655086736694532066030238990044105756651432656304763491121591 (256 digits)
Mon 2016/09/19 18:28:57 UTC Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2700284867
Mon 2016/09/19 18:28:57 UTC Step 1 took 12000ms
Mon 2016/09/19 18:28:57 UTC Step 2 took 5015ms
Mon 2016/09/19 18:28:57 UTC ********** Factor found in step 2: 2559625822632856860163843923917033981
Mon 2016/09/19 18:28:57 UTC Found prime factor of 37 digits: 2559625822632856860163843923917033981
Mon 2016/09/19 18:28:57 UTC Prime cofactor 393161733663875454506037789820044930314769524615086660254588875229727525210876526573019418755598450172287908085094281255002507474495328924657505661622552200956750151437397978698680146027690346420085994238799002895023811 has 219 digits
software ソフトウェア
GMP-ECM

ECM

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

29×10260+619

c208

composite cofactor 合成数の残り
3475920013053761174291611424433131098357456831033111245311650193247384323912658149580400835905333948946134656490457745248745669120251007654961534267096891360271929016336061304927109227361792341363984837559467<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 20, 2016 07:25:11 UTC 2016 年 9 月 20 日 (火) 16 時 25 分 11 秒 (日本時間)

29×10264+619

c229

composite cofactor 合成数の残り
1255580969100724905048790385587178575781371847347673598625854818437869633536370634900442718796750017884702795948229341127987147936417479800789966736620899900734305315233358866181893912025544824834039456214665867973584563748069873<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 20, 2016 07:25:31 UTC 2016 年 9 月 20 日 (火) 16 時 25 分 31 秒 (日本時間)

29×10265+619

c220

composite cofactor 合成数の残り
1705321457645633952805345674137100015726682354922236352092781513905303648128307377529912736166273823005589708019909061168812857398343648984618088607593000262357235384377242771198570434702706999005526517343548931544306839<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 20, 2016 07:25:51 UTC 2016 年 9 月 20 日 (火) 16 時 25 分 51 秒 (日本時間)

29×10266+619

c235

composite cofactor 合成数の残り
2043485225697428702751146087453189933476643268716835300815017618289999844306443032696746959287491605098307267195114437895205911932548393093314898680789703775128578712530538708242124420171301377134118183373386987214946904161146199315183<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 20, 2016 07:26:16 UTC 2016 年 9 月 20 日 (火) 16 時 26 分 16 秒 (日本時間)

29×10267+619

c240

composite cofactor 合成数の残り
420319739666210316254394491879363118176065461149933249446481457933453713171924730516289333326943845136499748166864190025861676575587416134315134915995538934858769976257490820539673305968201633446593883126368260607827340518197042316525220663<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 20, 2016 07:26:35 UTC 2016 年 9 月 20 日 (火) 16 時 26 分 35 秒 (日本時間)

29×10268+619

c209

composite cofactor 合成数の残り
42832952321830110754581581386643631115512899944412136387812652539106492570193150176184395943596011591737641673908706081460766878109676432404149812811999930197394214553577046569758735143014232472155065614249879<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 20, 2016 07:27:02 UTC 2016 年 9 月 20 日 (火) 16 時 27 分 2 秒 (日本時間)

29×10270+619

c240

name 名前Erik Branger
date 日付September 20, 2016 09:41:05 UTC 2016 年 9 月 20 日 (火) 18 時 41 分 5 秒 (日本時間)
composite number 合成数
281120504231607154435955862312608674853135159709870316508109898007002171656583490463319990259896072866863488405607701813437044795067131952718707425323876570092491303004504581067838916373847943037071194416930801974535274548913596519479561473<240>
prime factors 素因数
244630028045563394036536895906842897<36>
composite cofactor 合成数の残り
1149165973112864347093293305996488906929975692989326261926787750293021913535586720378631331517205494524315099098914336706678356665245177565689097346341185632013495956796355674649559847572623568310349268209<205>
factorization results 素因数分解の結果
Tue 2016/09/20 08:38:17 UTC GMP-ECM 7.0-dev [configured with GMP 6.1.0, --enable-asm-redc] [ECM]
Tue 2016/09/20 08:38:17 UTC Input number is 281120504231607154435955862312608674853135159709870316508109898007002171656583490463319990259896072866863488405607701813437044795067131952718707425323876570092491303004504581067838916373847943037071194416930801974535274548913596519479561473 (240 digits)
Tue 2016/09/20 08:38:17 UTC Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2288509266
Tue 2016/09/20 08:38:17 UTC Step 1 took 8453ms
Tue 2016/09/20 08:38:17 UTC Step 2 took 3750ms
Tue 2016/09/20 08:38:17 UTC ********** Factor found in step 2: 244630028045563394036536895906842897
Tue 2016/09/20 08:38:17 UTC Found prime factor of 36 digits: 244630028045563394036536895906842897
Tue 2016/09/20 08:38:17 UTC Composite cofactor 1149165973112864347093293305996488906929975692989326261926787750293021913535586720378631331517205494524315099098914336706678356665245177565689097346341185632013495956796355674649559847572623568310349268209 has 205 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 30, 2017 12:55:51 UTC 2017 年 3 月 30 日 (木) 21 時 55 分 51 秒 (日本時間)
4511e6320 / 4218Dmitry DomanovMarch 30, 2017 13:41:56 UTC 2017 年 3 月 30 日 (木) 22 時 41 分 56 秒 (日本時間)

29×10271+619

c259

composite cofactor 合成数の残り
2008739714292895963603709113345669598256262112250511308010060425955422609269315979484882639474865540371899158943360057626763309680803127308501045353727967527208968046541457273807561300426375831237317133080299679825850571308628235675629593251185680945828941929<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 22, 2016 17:05:13 UTC 2016 年 9 月 23 日 (金) 2 時 5 分 13 秒 (日本時間)

29×10272+619

c241

composite cofactor 合成数の残り
1683604180701986745197701463104558170746470969079527396975268660820036458458966306903600827549166223944792314002401393405193414939520198431616611950268446002266448346861372724848045470198963166273037775463058378368169082406868660175233059811<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 22, 2016 17:05:17 UTC 2016 年 9 月 23 日 (金) 2 時 5 分 17 秒 (日本時間)

29×10275+619

c273

composite cofactor 合成数の残り
327794732677743867977845597377642138578049056177235220978862891375607550582118232169096868995139595343054142647225048038883237255566858822199615688934101955465129422403074488527184356278964620775404091782525149768283033796767265739798801853735729625861874081609585170114163<273>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 22, 2016 17:05:38 UTC 2016 年 9 月 23 日 (金) 2 時 5 分 38 秒 (日本時間)

29×10277+619

c243

composite cofactor 合成数の残り
134635879922811168600796323571133645231264669806454035922944264392201448561969282418917334920196003427917645623433304061750885100173886890484002284001120977531929582016265795785344916648374282064832129738148210616771114223182525181204262044597<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 22, 2016 17:05:43 UTC 2016 年 9 月 23 日 (金) 2 時 5 分 43 秒 (日本時間)

29×10279+619

c204

composite cofactor 合成数の残り
382580983920009626302858641834264274193952241629287075705874661904324422913999387690600103149136730050038604193789762996389627121200879358888525965755951313883375772370263414508045663430253582678082477389<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 22, 2016 17:06:06 UTC 2016 年 9 月 23 日 (金) 2 時 6 分 6 秒 (日本時間)

29×10280+619

c250

composite cofactor 合成数の残り
6185365109102317656545316721940764232567496935435017476604730074139093910706421476093914795904186237693301283639769505321625750358921789929739216261610506974182358452379500548426491233452115650357259301623190486020173248966566284161728983097931079207<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 22, 2016 17:06:11 UTC 2016 年 9 月 23 日 (金) 2 時 6 分 11 秒 (日本時間)

29×10281+619

c255

composite cofactor 合成数の残り
306590823032394576766184584685370968918387699789639483392052446029223109427296732722887849784768840431302216067085499089789131354625267998111084701738332580248760376677818682447523015537572259527798376431122962404354785924666335414724523770557552496695253<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 22, 2016 17:06:16 UTC 2016 年 9 月 23 日 (金) 2 時 6 分 16 秒 (日本時間)

29×10283+619

c233

composite cofactor 合成数の残り
28573929979495478037792757641580931103568635147933842138145519765379775042879017348465820620198790417924525450480936387699511457418386384491369405585964506080590326664287633375567091733720859659330885705335121619277845886395818577113<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 22, 2016 17:06:44 UTC 2016 年 9 月 23 日 (金) 2 時 6 分 44 秒 (日本時間)

29×10284+619

c220

composite cofactor 合成数の残り
2176083975376873922536389668588305951219383900210580886054381859831765600774713564938649418856661793901600396071227247900090674880996502233849880163099123742455140117858048220197979225830717841558226357974885586886971223<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 22, 2016 17:06:51 UTC 2016 年 9 月 23 日 (金) 2 時 6 分 51 秒 (日本時間)

29×10285+619

c239

composite cofactor 合成数の残り
15985704841689210508428197156799632756766026820088290080950451228839822355591651189752244523282806814245992326751539653890952093719896819974953546644671701856441583772219060236285076997889407496463828809827532978364217346943136439048782057<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 22, 2016 17:06:56 UTC 2016 年 9 月 23 日 (金) 2 時 6 分 56 秒 (日本時間)

29×10286+619

c230

composite cofactor 合成数の残り
83609526655948158096978421651322004121466711891416724514060051274314498594155536658229786671294101429650764102038639448159513270602064259586329980178360820661727699402884189939286450290715306117079243683450602380729620030463860799<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 22, 2016 17:07:01 UTC 2016 年 9 月 23 日 (金) 2 時 7 分 1 秒 (日本時間)

29×10287+619

c224

composite cofactor 合成数の残り
11764140748404072725902293655663664414814835317636263253219456455898244010357263531147190468354387737311318969511408010669121725479192655949402276456726674970405968213673554807090637394157538518894590901921169175982290340357<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 22, 2016 17:07:18 UTC 2016 年 9 月 23 日 (金) 2 時 7 分 18 秒 (日本時間)

29×10288+619

c233

composite cofactor 合成数の残り
34133826064556490780955518447858044008583400715647854125255586760704822943132792210238194922669095005123879257094019829990863596036484024386291697917762661549938303141894943210651518552548327858448586629244139752710081468559158037221<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 22, 2016 17:07:23 UTC 2016 年 9 月 23 日 (金) 2 時 7 分 23 秒 (日本時間)

29×10291+619

c285

composite cofactor 合成数の残り
274647810825391205263790083155117683603695217717723476874981064690801068395137093438016956433839477995657780228393899473578752745306119750820943615438968696333876956057098446456552189007925985407696633650306265929750601888309770303228135550589733723549154708382600652053679478977571057<285>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 22, 2016 17:07:48 UTC 2016 年 9 月 23 日 (金) 2 時 7 分 48 秒 (日本時間)

29×10292+619

c236

composite cofactor 合成数の残り
19410126891442451642575841189392371541339175482083286217783427970278047011728180908668016295038998131940332617094267394644231131217256403965885958014799465347518912158561429244260720419019636587936288045221716292106401465653681166658031<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 22, 2016 17:07:52 UTC 2016 年 9 月 23 日 (金) 2 時 7 分 52 秒 (日本時間)

29×10293+619

c258

composite cofactor 合成数の残り
400272542030179138161104893956544689436005522060167198736190681985418859761876127293395152251726364272892205198614495013270118307466863899878402444452888386372845469090051174467987539561502636430257643043212899452693419177297017774195019961225145796501883697<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 22, 2016 17:07:57 UTC 2016 年 9 月 23 日 (金) 2 時 7 分 57 秒 (日本時間)

29×10295+619

c206

composite cofactor 合成数の残り
72910180794659902494902830651027114143063048058362826928294563818921701764878063484428258813902878592095121332989995552223815418848496471448026024738375804096412091111091910511449438098256832847891639652529<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 22, 2016 17:08:26 UTC 2016 年 9 月 23 日 (金) 2 時 8 分 26 秒 (日本時間)

29×10297+619

c281

composite cofactor 合成数の残り
70195791191169745421416918484472631964223740434187359831574421835075308660949560341554255625693842300045900436198707394607445521373730110422327753529349099666287893622575440595531336305662372969604073816096189834727029533206312126371837953069585358628066818042067533436844685361169<281>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 22, 2016 17:08:31 UTC 2016 年 9 月 23 日 (金) 2 時 8 分 31 秒 (日本時間)

29×10298+619

c283

composite cofactor 合成数の残り
1142152250983594951112473360434254832020294853113417243670898040384027399454739980209359461494327699660287941062209048612927433394189720763872414004240717941094674763773378002911894857355176367376223771821868805848180657002551222721766680016963272444435409201286467108573214766538301<283>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 22, 2016 17:08:35 UTC 2016 年 9 月 23 日 (金) 2 時 8 分 35 秒 (日本時間)

29×10299+619

c249

composite cofactor 合成数の残り
102574577309750580161096479802089406355717568075901689798915415668843752168016834744708801149119672968551725414265089199499135070632540765146605828134300397315187913091954460543232771199298627701590840339580236754235745731323948820843256822057249549<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 22, 2016 17:08:40 UTC 2016 年 9 月 23 日 (金) 2 時 8 分 40 秒 (日本時間)

29×10300+619

c269

composite cofactor 合成数の残り
34764348240392160831770183766514733948702259768695970511404115046335043542169597359394651098574307701020439559270402837064965374078663129726053900118334729715462213208317965697246165319183990341801613978089402262785210707967505322095240155398719718813363736566383975177<269>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovSeptember 10, 2016 19:06:34 UTC 2016 年 9 月 11 日 (日) 4 時 6 分 34 秒 (日本時間)
4511e62000Dmitry DomanovSeptember 12, 2016 19:50:28 UTC 2016 年 9 月 13 日 (火) 4 時 50 分 28 秒 (日本時間)
5043e6720 / 7054Dmitry DomanovSeptember 17, 2016 22:37:40 UTC 2016 年 9 月 18 日 (日) 7 時 37 分 40 秒 (日本時間)