Table of contents 目次

11×10105+13

c94

name 名前Sinkiti Sibata
date 日付November 30, 2008 15:57:38 UTC 2008 年 12 月 1 日 (月) 0 時 57 分 38 秒 (日本時間)
composite number 合成数
2907365533602040519607069382815593864011076918018858165324571130743533984189529189206124940449<94>
prime factors 素因数
5104021191531172673556798659086373586713<40>
569622543579183307943262520347190758832026542885980873<54>
factorization results 素因数分解の結果
Sun Nov 30 21:45:06 2008  Msieve v. 1.38
Sun Nov 30 21:45:06 2008  random seeds: 942d4ef0 97db9756
Sun Nov 30 21:45:06 2008  factoring 2907365533602040519607069382815593864011076918018858165324571130743533984189529189206124940449 (94 digits)
Sun Nov 30 21:45:07 2008  searching for 15-digit factors
Sun Nov 30 21:45:09 2008  commencing quadratic sieve (94-digit input)
Sun Nov 30 21:45:09 2008  using multiplier of 1
Sun Nov 30 21:45:09 2008  using 32kb Intel Core sieve core
Sun Nov 30 21:45:09 2008  sieve interval: 36 blocks of size 32768
Sun Nov 30 21:45:09 2008  processing polynomials in batches of 6
Sun Nov 30 21:45:09 2008  using a sieve bound of 2019013 (75294 primes)
Sun Nov 30 21:45:09 2008  using large prime bound of 270547742 (28 bits)
Sun Nov 30 21:45:09 2008  using double large prime bound of 1506742330630918 (42-51 bits)
Sun Nov 30 21:45:09 2008  using trial factoring cutoff of 51 bits
Sun Nov 30 21:45:09 2008  polynomial 'A' values have 12 factors
Mon Dec 01 00:51:47 2008  75444 relations (18548 full + 56896 combined from 1064784 partial), need 75390
Mon Dec 01 00:51:48 2008  begin with 1083332 relations
Mon Dec 01 00:51:49 2008  reduce to 194974 relations in 10 passes
Mon Dec 01 00:51:49 2008  attempting to read 194974 relations
Mon Dec 01 00:51:52 2008  recovered 194974 relations
Mon Dec 01 00:51:52 2008  recovered 178130 polynomials
Mon Dec 01 00:51:53 2008  attempting to build 75444 cycles
Mon Dec 01 00:51:53 2008  found 75444 cycles in 5 passes
Mon Dec 01 00:51:53 2008  distribution of cycle lengths:
Mon Dec 01 00:51:53 2008     length 1 : 18548
Mon Dec 01 00:51:53 2008     length 2 : 13427
Mon Dec 01 00:51:53 2008     length 3 : 12752
Mon Dec 01 00:51:53 2008     length 4 : 10138
Mon Dec 01 00:51:53 2008     length 5 : 7733
Mon Dec 01 00:51:53 2008     length 6 : 5171
Mon Dec 01 00:51:53 2008     length 7 : 3285
Mon Dec 01 00:51:53 2008     length 9+: 4390
Mon Dec 01 00:51:53 2008  largest cycle: 24 relations
Mon Dec 01 00:51:53 2008  matrix is 75294 x 75444 (19.2 MB) with weight 4735552 (62.77/col)
Mon Dec 01 00:51:53 2008  sparse part has weight 4735552 (62.77/col)
Mon Dec 01 00:51:54 2008  filtering completed in 3 passes
Mon Dec 01 00:51:54 2008  matrix is 71559 x 71623 (18.4 MB) with weight 4532182 (63.28/col)
Mon Dec 01 00:51:54 2008  sparse part has weight 4532182 (63.28/col)
Mon Dec 01 00:51:54 2008  saving the first 48 matrix rows for later
Mon Dec 01 00:51:54 2008  matrix is 71511 x 71623 (11.2 MB) with weight 3557733 (49.67/col)
Mon Dec 01 00:51:54 2008  sparse part has weight 2500748 (34.92/col)
Mon Dec 01 00:51:54 2008  matrix includes 64 packed rows
Mon Dec 01 00:51:54 2008  using block size 28649 for processor cache size 1024 kB
Mon Dec 01 00:51:55 2008  commencing Lanczos iteration
Mon Dec 01 00:51:55 2008  memory use: 11.1 MB
Mon Dec 01 00:52:29 2008  lanczos halted after 1132 iterations (dim = 71510)
Mon Dec 01 00:52:29 2008  recovered 16 nontrivial dependencies
Mon Dec 01 00:52:30 2008  prp40 factor: 5104021191531172673556798659086373586713
Mon Dec 01 00:52:30 2008  prp54 factor: 569622543579183307943262520347190758832026542885980873
Mon Dec 01 00:52:30 2008  elapsed time 03:07:24

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)

11×10110+13

c99

name 名前Serge Batalov
date 日付November 30, 2008 10:15:41 UTC 2008 年 11 月 30 日 (日) 19 時 15 分 41 秒 (日本時間)
composite number 合成数
211824956409900504611721650005430185338299024638751288343886051876340119698931368923094866483564947<99>
prime factors 素因数
190853932462516980462149362837947703859<39>
1109879967768032011225337624689665807633302433866174800966433<61>
factorization results 素因数分解の結果
SNFS difficulty: 111 digits.
Divisors found:
 r1=190853932462516980462149362837947703859 (pp39)
 r2=1109879967768032011225337624689665807633302433866174800966433 (pp61)
Version: Msieve-1.38
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.403).
Factorization parameters were as follows:
n: 211824956409900504611721650005430185338299024638751288343886051876340119698931368923094866483564947
m: 10000000000000000000000
deg: 5
c5: 11
c0: 1
skew: 0.62
type: snfs
lss: 1
rlim: 500000
alim: 500000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 500000/500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [250000, 350001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 54411 x 54621
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,111,5,0,0,0,0,0,0,0,0,500000,500000,25,25,46,46,2.3,2.3,50000
total time: 0.30 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 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)

11×10111+13

c83

name 名前Robert Backstrom
date 日付November 30, 2008 09:51:42 UTC 2008 年 11 月 30 日 (日) 18 時 51 分 42 秒 (日本時間)
composite number 合成数
43084386168146546835721754466890151824910052764435983250283044114671565568707280217<83>
prime factors 素因数
5224631191091294072933327702528080958339<40>
8246397610153091399492664950103852314306803<43>
factorization results 素因数分解の結果
Sun Nov 30 20:26:18 2008  
Sun Nov 30 20:26:18 2008  
Sun Nov 30 20:26:18 2008  Msieve v. 1.38
Sun Nov 30 20:26:18 2008  random seeds: 2bc1f670 7511cf85
Sun Nov 30 20:26:18 2008  factoring 43084386168146546835721754466890151824910052764435983250283044114671565568707280217 (83 digits)
Sun Nov 30 20:26:18 2008  searching for 15-digit factors
Sun Nov 30 20:26:19 2008  commencing quadratic sieve (83-digit input)
Sun Nov 30 20:26:19 2008  using multiplier of 5
Sun Nov 30 20:26:19 2008  using 64kb Opteron sieve core
Sun Nov 30 20:26:19 2008  sieve interval: 6 blocks of size 65536
Sun Nov 30 20:26:19 2008  processing polynomials in batches of 17
Sun Nov 30 20:26:19 2008  using a sieve bound of 1368167 (52647 primes)
Sun Nov 30 20:26:19 2008  using large prime bound of 121766863 (26 bits)
Sun Nov 30 20:26:19 2008  using trial factoring cutoff of 27 bits
Sun Nov 30 20:26:19 2008  polynomial 'A' values have 11 factors
Sun Nov 30 20:42:41 2008  52814 relations (27081 full + 25733 combined from 279284 partial), need 52743
Sun Nov 30 20:42:41 2008  begin with 306365 relations
Sun Nov 30 20:42:41 2008  reduce to 75332 relations in 2 passes
Sun Nov 30 20:42:41 2008  attempting to read 75332 relations
Sun Nov 30 20:42:42 2008  recovered 75332 relations
Sun Nov 30 20:42:42 2008  recovered 68175 polynomials
Sun Nov 30 20:42:42 2008  attempting to build 52814 cycles
Sun Nov 30 20:42:42 2008  found 52814 cycles in 1 passes
Sun Nov 30 20:42:42 2008  distribution of cycle lengths:
Sun Nov 30 20:42:42 2008     length 1 : 27081
Sun Nov 30 20:42:42 2008     length 2 : 25733
Sun Nov 30 20:42:42 2008  largest cycle: 2 relations
Sun Nov 30 20:42:42 2008  matrix is 52647 x 52814 (7.2 MB) with weight 1683721 (31.88/col)
Sun Nov 30 20:42:42 2008  sparse part has weight 1683721 (31.88/col)
Sun Nov 30 20:42:42 2008  filtering completed in 3 passes
Sun Nov 30 20:42:42 2008  matrix is 37904 x 37965 (5.7 MB) with weight 1347008 (35.48/col)
Sun Nov 30 20:42:42 2008  sparse part has weight 1347008 (35.48/col)
Sun Nov 30 20:42:43 2008  saving the first 48 matrix rows for later
Sun Nov 30 20:42:43 2008  matrix is 37856 x 37965 (3.8 MB) with weight 1039465 (27.38/col)
Sun Nov 30 20:42:43 2008  sparse part has weight 762472 (20.08/col)
Sun Nov 30 20:42:43 2008  matrix includes 64 packed rows
Sun Nov 30 20:42:43 2008  using block size 15186 for processor cache size 1024 kB
Sun Nov 30 20:42:43 2008  commencing Lanczos iteration
Sun Nov 30 20:42:43 2008  memory use: 4.3 MB
Sun Nov 30 20:42:49 2008  lanczos halted after 600 iterations (dim = 37854)
Sun Nov 30 20:42:49 2008  recovered 17 nontrivial dependencies
Sun Nov 30 20:42:49 2008  prp40 factor: 5224631191091294072933327702528080958339
Sun Nov 30 20:42:49 2008  prp43 factor: 8246397610153091399492664950103852314306803
Sun Nov 30 20:42:49 2008  elapsed time 00:16:31

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)

11×10112+13

c89

name 名前Sinkiti Sibata
date 日付November 30, 2008 11:08:09 UTC 2008 年 11 月 30 日 (日) 20 時 8 分 9 秒 (日本時間)
composite number 合成数
25475718823507185358250712731480185849953749457460003767658389018952004744064201971433151<89>
prime factors 素因数
2344658050851003644637589698792718697<37>
10865430383019248585841901328692422403234007461482983<53>
factorization results 素因数分解の結果
Sun Nov 30 18:57:49 2008  Msieve v. 1.38
Sun Nov 30 18:57:49 2008  random seeds: 1760b75c 1e4aa34b
Sun Nov 30 18:57:49 2008  factoring 25475718823507185358250712731480185849953749457460003767658389018952004744064201971433151 (89 digits)
Sun Nov 30 18:57:50 2008  searching for 15-digit factors
Sun Nov 30 18:57:52 2008  commencing quadratic sieve (89-digit input)
Sun Nov 30 18:57:52 2008  using multiplier of 31
Sun Nov 30 18:57:52 2008  using 32kb Intel Core sieve core
Sun Nov 30 18:57:52 2008  sieve interval: 30 blocks of size 32768
Sun Nov 30 18:57:52 2008  processing polynomials in batches of 7
Sun Nov 30 18:57:52 2008  using a sieve bound of 1544489 (58667 primes)
Sun Nov 30 18:57:52 2008  using large prime bound of 123559120 (26 bits)
Sun Nov 30 18:57:52 2008  using double large prime bound of 367599255202560 (42-49 bits)
Sun Nov 30 18:57:52 2008  using trial factoring cutoff of 49 bits
Sun Nov 30 18:57:52 2008  polynomial 'A' values have 11 factors
Sun Nov 30 20:01:08 2008  59023 relations (16122 full + 42901 combined from 619206 partial), need 58763
Sun Nov 30 20:01:09 2008  begin with 635328 relations
Sun Nov 30 20:01:10 2008  reduce to 142320 relations in 10 passes
Sun Nov 30 20:01:10 2008  attempting to read 142320 relations
Sun Nov 30 20:01:12 2008  recovered 142320 relations
Sun Nov 30 20:01:12 2008  recovered 120307 polynomials
Sun Nov 30 20:01:12 2008  attempting to build 59023 cycles
Sun Nov 30 20:01:12 2008  found 59023 cycles in 6 passes
Sun Nov 30 20:01:12 2008  distribution of cycle lengths:
Sun Nov 30 20:01:12 2008     length 1 : 16122
Sun Nov 30 20:01:12 2008     length 2 : 11639
Sun Nov 30 20:01:12 2008     length 3 : 10383
Sun Nov 30 20:01:12 2008     length 4 : 7676
Sun Nov 30 20:01:12 2008     length 5 : 5403
Sun Nov 30 20:01:12 2008     length 6 : 3358
Sun Nov 30 20:01:12 2008     length 7 : 2090
Sun Nov 30 20:01:12 2008     length 9+: 2352
Sun Nov 30 20:01:12 2008  largest cycle: 20 relations
Sun Nov 30 20:01:12 2008  matrix is 58667 x 59023 (14.4 MB) with weight 3551446 (60.17/col)
Sun Nov 30 20:01:12 2008  sparse part has weight 3551446 (60.17/col)
Sun Nov 30 20:01:13 2008  filtering completed in 3 passes
Sun Nov 30 20:01:13 2008  matrix is 54455 x 54518 (13.4 MB) with weight 3299267 (60.52/col)
Sun Nov 30 20:01:13 2008  sparse part has weight 3299267 (60.52/col)
Sun Nov 30 20:01:13 2008  saving the first 48 matrix rows for later
Sun Nov 30 20:01:13 2008  matrix is 54407 x 54518 (10.2 MB) with weight 2772385 (50.85/col)
Sun Nov 30 20:01:13 2008  sparse part has weight 2337636 (42.88/col)
Sun Nov 30 20:01:13 2008  matrix includes 64 packed rows
Sun Nov 30 20:01:13 2008  using block size 21807 for processor cache size 1024 kB
Sun Nov 30 20:01:14 2008  commencing Lanczos iteration
Sun Nov 30 20:01:14 2008  memory use: 9.0 MB
Sun Nov 30 20:01:35 2008  lanczos halted after 862 iterations (dim = 54404)
Sun Nov 30 20:01:36 2008  recovered 15 nontrivial dependencies
Sun Nov 30 20:01:36 2008  prp37 factor: 2344658050851003644637589698792718697
Sun Nov 30 20:01:36 2008  prp53 factor: 10865430383019248585841901328692422403234007461482983
Sun Nov 30 20:01:36 2008  elapsed time 01:03:47

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)

11×10114+13

c87

name 名前Sinkiti Sibata
date 日付November 30, 2008 09:56:15 UTC 2008 年 11 月 30 日 (日) 18 時 56 分 15 秒 (日本時間)
composite number 合成数
897661695740436635978921665840942462701571152708113448971815635450427880352253509077077<87>
prime factors 素因数
21099559767919706148965388700117758588600401<44>
42544095972337002803163257909814208720366277<44>
factorization results 素因数分解の結果
Sun Nov 30 17:56:41 2008  Msieve v. 1.38
Sun Nov 30 17:56:41 2008  random seeds: 43c7e764 2d8bf80a
Sun Nov 30 17:56:41 2008  factoring 897661695740436635978921665840942462701571152708113448971815635450427880352253509077077 (87 digits)
Sun Nov 30 17:56:42 2008  searching for 15-digit factors
Sun Nov 30 17:56:43 2008  commencing quadratic sieve (87-digit input)
Sun Nov 30 17:56:43 2008  using multiplier of 1
Sun Nov 30 17:56:43 2008  using 32kb Intel Core sieve core
Sun Nov 30 17:56:43 2008  sieve interval: 22 blocks of size 32768
Sun Nov 30 17:56:43 2008  processing polynomials in batches of 10
Sun Nov 30 17:56:43 2008  using a sieve bound of 1499123 (56997 primes)
Sun Nov 30 17:56:43 2008  using large prime bound of 119929840 (26 bits)
Sun Nov 30 17:56:43 2008  using double large prime bound of 348392707234640 (42-49 bits)
Sun Nov 30 17:56:43 2008  using trial factoring cutoff of 49 bits
Sun Nov 30 17:56:43 2008  polynomial 'A' values have 11 factors
Sun Nov 30 18:50:59 2008  57411 relations (15553 full + 41858 combined from 607010 partial), need 57093
Sun Nov 30 18:50:59 2008  begin with 622563 relations
Sun Nov 30 18:51:00 2008  reduce to 138886 relations in 10 passes
Sun Nov 30 18:51:00 2008  attempting to read 138886 relations
Sun Nov 30 18:51:01 2008  recovered 138886 relations
Sun Nov 30 18:51:01 2008  recovered 118621 polynomials
Sun Nov 30 18:51:02 2008  attempting to build 57411 cycles
Sun Nov 30 18:51:02 2008  found 57411 cycles in 5 passes
Sun Nov 30 18:51:02 2008  distribution of cycle lengths:
Sun Nov 30 18:51:02 2008     length 1 : 15553
Sun Nov 30 18:51:02 2008     length 2 : 11104
Sun Nov 30 18:51:02 2008     length 3 : 10158
Sun Nov 30 18:51:02 2008     length 4 : 7663
Sun Nov 30 18:51:02 2008     length 5 : 5261
Sun Nov 30 18:51:02 2008     length 6 : 3377
Sun Nov 30 18:51:02 2008     length 7 : 1937
Sun Nov 30 18:51:02 2008     length 9+: 2358
Sun Nov 30 18:51:02 2008  largest cycle: 17 relations
Sun Nov 30 18:51:02 2008  matrix is 56997 x 57411 (13.3 MB) with weight 3247632 (56.57/col)
Sun Nov 30 18:51:02 2008  sparse part has weight 3247632 (56.57/col)
Sun Nov 30 18:51:02 2008  filtering completed in 4 passes
Sun Nov 30 18:51:02 2008  matrix is 52859 x 52923 (12.3 MB) with weight 3006031 (56.80/col)
Sun Nov 30 18:51:02 2008  sparse part has weight 3006031 (56.80/col)
Sun Nov 30 18:51:03 2008  saving the first 48 matrix rows for later
Sun Nov 30 18:51:03 2008  matrix is 52811 x 52923 (7.8 MB) with weight 2373089 (44.84/col)
Sun Nov 30 18:51:03 2008  sparse part has weight 1733530 (32.76/col)
Sun Nov 30 18:51:03 2008  matrix includes 64 packed rows
Sun Nov 30 18:51:03 2008  using block size 21169 for processor cache size 1024 kB
Sun Nov 30 18:51:03 2008  commencing Lanczos iteration
Sun Nov 30 18:51:03 2008  memory use: 7.7 MB
Sun Nov 30 18:51:20 2008  lanczos halted after 837 iterations (dim = 52811)
Sun Nov 30 18:51:20 2008  recovered 17 nontrivial dependencies
Sun Nov 30 18:51:21 2008  prp44 factor: 21099559767919706148965388700117758588600401
Sun Nov 30 18:51:21 2008  prp44 factor: 42544095972337002803163257909814208720366277
Sun Nov 30 18:51:21 2008  elapsed time 00:54:40

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)

11×10116+13

c113

name 名前Sinkiti Sibata
date 日付November 30, 2008 11:16:36 UTC 2008 年 11 月 30 日 (日) 20 時 16 分 36 秒 (日本時間)
composite number 合成数
61905565873149867747200180088918903708706173673251167764083516236141594912488040970229050593730654510664640666329<113>
prime factors 素因数
1306986629179934599512414769208909338753123<43>
47365110316386599844519000083508998721829561294653165381499167296421523<71>
factorization results 素因数分解の結果
Number: 36667_116
N=61905565873149867747200180088918903708706173673251167764083516236141594912488040970229050593730654510664640666329
  ( 113 digits)
SNFS difficulty: 118 digits.
Divisors found:
 r1=1306986629179934599512414769208909338753123 (pp43)
 r2=47365110316386599844519000083508998721829561294653165381499167296421523 (pp71)
Version: GGNFS-0.77.1-20060513-k8
Total time: 2.39 hours.
Scaled time: 4.79 units (timescale=2.003).
Factorization parameters were as follows:
name: 36667_116
n: 61905565873149867747200180088918903708706173673251167764083516236141594912488040970229050593730654510664640666329
m: 200000000000000000000000
deg: 5
c5: 55
c0: 16
skew: 0.78
type: snfs
lss: 1
rlim: 650000
alim: 650000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 650000/650000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [325000, 575001)
Primes: RFBsize:52831, AFBsize:52923, largePrimes:1703942 encountered
Relations: rels:1982042, finalFF:430957
Max relations in full relation-set: 28
Initial matrix: 105821 x 430957 with sparse part having weight 20615305.
Pruned matrix : 61853 x 62446 with weight 3879059.
Total sieving time: 2.30 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,118,5,0,0,0,0,0,0,0,0,650000,650000,25,25,45,45,2.2,2.2,50000
total time: 2.39 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 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)

11×10119+13

c101

name 名前Erik Branger
date 日付November 30, 2008 12:47:22 UTC 2008 年 11 月 30 日 (日) 21 時 47 分 22 秒 (日本時間)
composite number 合成数
37013165649240677352188638468717285587168893121133951533421728005342231052746388846355743968062791161<101>
prime factors 素因数
12991913767799353249814912229358520152908976070653<50>
2848938679148128690045374612108836831282623299109037<52>
factorization results 素因数分解の結果
Number: 36667_119
N=37013165649240677352188638468717285587168893121133951533421728005342231052746388846355743968062791161
  ( 101 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=12991913767799353249814912229358520152908976070653
 r2=2848938679148128690045374612108836831282623299109037
Version: 
Total time: 1.93 hours.
Scaled time: 1.52 units (timescale=0.788).
Factorization parameters were as follows:
n: 37013165649240677352188638468717285587168893121133951533421728005342231052746388846355743968062791161
m: 1000000000000000000000000
deg: 5
c5: 11
c0: 10
skew: 0.98
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, 565001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 69857 x 70095
Total sieving time: 1.93 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,121,5,0,0,0,0,0,0,0,0,730000,730000,25,25,46,46,2.2,2.2,50000
total time: 1.93 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 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)

11×10123+13

c115

name 名前Sinkiti Sibata
date 日付November 30, 2008 13:11:51 UTC 2008 年 11 月 30 日 (日) 22 時 11 分 51 秒 (日本時間)
composite number 合成数
2202356222959534112779755467971839504883156015757536029981701961576441194628114329686083870245406553784502034755613<115>
prime factors 素因数
9794999209502002672388914985834215568969898339847<49>
224844961786526402678113350024342711554948949791525830477913909179<66>
factorization results 素因数分解の結果
Number: 36667_123
N=2202356222959534112779755467971839504883156015757536029981701961576441194628114329686083870245406553784502034755613
  ( 115 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=9794999209502002672388914985834215568969898339847 (pp49)
 r2=224844961786526402678113350024342711554948949791525830477913909179 (pp66)
Version: GGNFS-0.77.1-20060513-k8
Total time: 2.84 hours.
Scaled time: 5.64 units (timescale=1.985).
Factorization parameters were as follows:
name: 36667_123
n: 2202356222959534112779755467971839504883156015757536029981701961576441194628114329686083870245406553784502034755613
m: 5000000000000000000000000
deg: 5
c5: 88
c0: 25
skew: 0.78
type: snfs
lss: 1
rlim: 860000
alim: 860000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 860000/860000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [430000, 680001)
Primes: RFBsize:68342, AFBsize:68636, largePrimes:2725883 encountered
Relations: rels:2864348, finalFF:412312
Max relations in full relation-set: 28
Initial matrix: 137045 x 412312 with sparse part having weight 29982948.
Pruned matrix : 86555 x 87304 with weight 5897482.
Total sieving time: 2.70 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,125,5,0,0,0,0,0,0,0,0,860000,860000,26,26,46,46,2.3,2.3,50000
total time: 2.84 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 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)

11×10128+13

c117

name 名前Jo Yeong Uk
date 日付November 30, 2008 16:20:00 UTC 2008 年 12 月 1 日 (月) 1 時 20 分 0 秒 (日本時間)
composite number 合成数
494839267651258805728615052976501211817190602021008465421943955351632370071553416982673598514685194886303419273216753<117>
prime factors 素因数
244685778733831624295445245539835854200298513<45>
2022345843767010726344409071701555602423554182366854872110064185709664481<73>
factorization results 素因数分解の結果
Number: 36667_128
N=494839267651258805728615052976501211817190602021008465421943955351632370071553416982673598514685194886303419273216753
  ( 117 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=244685778733831624295445245539835854200298513 (pp45)
 r2=2022345843767010726344409071701555602423554182366854872110064185709664481 (pp73)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 1.68 hours.
Scaled time: 4.01 units (timescale=2.391).
Factorization parameters were as follows:
n: 494839267651258805728615052976501211817190602021008465421943955351632370071553416982673598514685194886303419273216753
m: 100000000000000000000000000
deg: 5
c5: 11
c0: 100
skew: 1.55
type: snfs
lss: 1
rlim: 900000
alim: 900000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 900000/900000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [450000, 800001)
Primes: RFBsize:71274, AFBsize:71561, largePrimes:2504135 encountered
Relations: rels:2386893, finalFF:184196
Max relations in full relation-set: 28
Initial matrix: 142902 x 184196 with sparse part having weight 14054047.
Pruned matrix : 129821 x 130599 with weight 7540241.
Total sieving time: 1.59 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,900000,900000,26,26,47,47,2.3,2.3,50000
total time: 1.68 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 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)

11×10136+13

c121

name 名前Sinkiti Sibata
date 日付December 1, 2008 04:50:28 UTC 2008 年 12 月 1 日 (月) 13 時 50 分 28 秒 (日本時間)
composite number 合成数
2385303571238103952394431723844548405578681842196340537735382861159899807041700551384403237187595381422841377585177831057<121>
prime factors 素因数
8152366823116473223458206514088212059435658063000673614923<58>
292590314321289835234488595489015334328963631781252268897642259<63>
factorization results 素因数分解の結果
Number: 36667_136
N=2385303571238103952394431723844548405578681842196340537735382861159899807041700551384403237187595381422841377585177831057
  ( 121 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=8152366823116473223458206514088212059435658063000673614923 (pp58)
 r2=292590314321289835234488595489015334328963631781252268897642259 (pp63)
Version: GGNFS-0.77.1-20060513-k8
Total time: 6.16 hours.
Scaled time: 12.35 units (timescale=2.003).
Factorization parameters were as follows:
name: 36667_136
n: 2385303571238103952394431723844548405578681842196340537735382861159899807041700551384403237187595381422841377585177831057
m: 2000000000000000000000000000
deg: 5
c5: 55
c0: 16
skew: 0.78
type: snfs
lss: 1
rlim: 1410000
alim: 1410000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1410000/1410000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [705000, 1230001)
Primes: RFBsize:107805, AFBsize:107895, largePrimes:3299822 encountered
Relations: rels:3294429, finalFF:313145
Max relations in full relation-set: 28
Initial matrix: 215767 x 313145 with sparse part having weight 25210536.
Pruned matrix : 182684 x 183826 with weight 11270363.
Total sieving time: 5.71 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.28 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,138,5,0,0,0,0,0,0,0,0,1410000,1410000,26,26,48,48,2.3,2.3,75000
total time: 6.16 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 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)

11×10139+13

c97

name 名前Jo Yeong Uk
date 日付November 30, 2008 14:23:23 UTC 2008 年 11 月 30 日 (日) 23 時 23 分 23 秒 (日本時間)
composite number 合成数
9206679327007660850305599792616297445143259412106374422712579360327352603261588284466462493766899<97>
prime factors 素因数
186684117639574787528989733088753211050056946911<48>
49316885889471914935083459467994951356728795737709<50>
factorization results 素因数分解の結果
Number: 36667_139
N=9206679327007660850305599792616297445143259412106374422712579360327352603261588284466462493766899
  ( 97 digits)
Divisors found:
 r1=186684117639574787528989733088753211050056946911 (pp48)
 r2=49316885889471914935083459467994951356728795737709 (pp50)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 2.36 hours.
Scaled time: 5.62 units (timescale=2.385).
Factorization parameters were as follows:
name: 36667_139
n: 9206679327007660850305599792616297445143259412106374422712579360327352603261588284466462493766899
skew: 1735.67
# norm 2.03e+13
c5: 592440
c4: -2146536287
c3: -4150159948542
c2: 6245351775971518
c1: 7030137616889093286
c0: -19054775817785412320
# alpha -5.87
Y1: 13808501069
Y0: -1730988725850774993
# Murphy_E 5.15e-09
# M 9026319937559876238802573127597355132016530503268299678618003208170456302899329542892731471298988
type: gnfs
rlim: 1000000
alim: 1000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [500000, 850001)
Primes: RFBsize:78498, AFBsize:79035, largePrimes:4094354 encountered
Relations: rels:3942403, finalFF:241663
Max relations in full relation-set: 28
Initial matrix: 157611 x 241663 with sparse part having weight 21027438.
Pruned matrix : 125329 x 126181 with weight 8294614.
Polynomial selection time: 0.18 hours.
Total sieving time: 2.04 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
gnfs,96,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1000000,1000000,26,26,49,49,2.5,2.5,50000
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 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)

11×10142+13

c141

name 名前Serge Batalov
date 日付November 30, 2008 18:19:46 UTC 2008 年 12 月 1 日 (月) 3 時 19 分 46 秒 (日本時間)
composite number 合成数
990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990991<141>
prime factors 素因数
2693334827130149692684600382468941<34>
367941995554607460375664696351964697590458986146034785229665363826072986598682216567858356117973188884575051<108>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3012302675
Step 1 took 27684ms
Step 2 took 12805ms
********** Factor found in step 2: 2693334827130149692684600382468941
Found probable prime factor of 34 digits: 2693334827130149692684600382468941
Probable prime cofactor 367941995554607460375664696351964697590458986146034785229665363826072986598682216567858356117973188884575051 has 108 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 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)

11×10146+13

c126

name 名前Sinkiti Sibata
date 日付December 1, 2008 00:43:57 UTC 2008 年 12 月 1 日 (月) 9 時 43 分 57 秒 (日本時間)
composite number 合成数
363617664136798578223631373800740555034454045808713398946590948965991187042710405434412718122742744048505165576401272036176937<126>
prime factors 素因数
55671965294353905409642364426584816346789<41>
6531432152866276879383268065912542982993709987799702322249068920766859531294563886133<85>
factorization results 素因数分解の結果
Number: 36667_146
N=363617664136798578223631373800740555034454045808713398946590948965991187042710405434412718122742744048505165576401272036176937
  ( 126 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=55671965294353905409642364426584816346789 (pp41)
 r2=6531432152866276879383268065912542982993709987799702322249068920766859531294563886133 (pp85)
Version: GGNFS-0.77.1-20060513-k8
Total time: 16.88 hours.
Scaled time: 33.09 units (timescale=1.960).
Factorization parameters were as follows:
name: 36667_146
n: 363617664136798578223631373800740555034454045808713398946590948965991187042710405434412718122742744048505165576401272036176937
m: 200000000000000000000000000000
deg: 5
c5: 55
c0: 16
skew: 0.78
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1050000, 2350001)
Primes: RFBsize:155805, AFBsize:156098, largePrimes:4366036 encountered
Relations: rels:4680252, finalFF:535408
Max relations in full relation-set: 28
Initial matrix: 311970 x 535408 with sparse part having weight 52657743.
Pruned matrix : 242588 x 244211 with weight 22870955.
Total sieving time: 15.97 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.65 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,148,5,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
total time: 16.88 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 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)

11×10147+13

c124

name 名前Sinkiti Sibata
date 日付December 1, 2008 20:42:05 UTC 2008 年 12 月 2 日 (火) 5 時 42 分 5 秒 (日本時間)
composite number 合成数
3058129095015556371371520145905654136299614131214743883131326477092954523068559314933344152325533809154730720048680367745941<124>
prime factors 素因数
153288443336301868304649866120256611<36>
170668247510580321448805603064473607653<39>
116894390737140603747245738094441350205229565084827<51>
factorization results 素因数分解の結果
Number: 36667_147
N=3058129095015556371371520145905654136299614131214743883131326477092954523068559314933344152325533809154730720048680367745941
  ( 124 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=153288443336301868304649866120256611 (pp36)
 r2=170668247510580321448805603064473607653 (pp39)
 r3=116894390737140603747245738094441350205229565084827 (pp51)
Version: GGNFS-0.77.1-20060513-k8
Total time: 22.62 hours.
Scaled time: 44.91 units (timescale=1.985).
Factorization parameters were as follows:
name: 36667_147
n: 3058129095015556371371520145905654136299614131214743883131326477092954523068559314933344152325533809154730720048680367745941
m: 500000000000000000000000000000
deg: 5
c5: 44
c0: 125
skew: 1.23
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1100000, 1800001)
Primes: RFBsize:162662, AFBsize:162521, largePrimes:7150630 encountered
Relations: rels:7348652, finalFF:640645
Max relations in full relation-set: 28
Initial matrix: 325250 x 640645 with sparse part having weight 71451844.
Pruned matrix : 244711 x 246401 with weight 28421597.
Total sieving time: 21.33 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 0.97 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,150,5,0,0,0,0,0,0,0,0,2200000,2200000,27,27,49,49,2.4,2.4,100000
total time: 22.62 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 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)

11×10157+13

c143

name 名前Sinkiti Sibata
date 日付December 4, 2008 04:02:46 UTC 2008 年 12 月 4 日 (木) 13 時 2 分 46 秒 (日本時間)
composite number 合成数
20063021892743443326478130818979587624195871689987254647969629230342545976216225090108921757143590322301830787962129778289720168589102773381609<143>
prime factors 素因数
8094731531159257114384118790068783897387029934394005132192109889<64>
2478528387941507389257903805559758966512411806020490482897963327234349291725481<79>
factorization results 素因数分解の結果
Number: 36667_157
N=20063021892743443326478130818979587624195871689987254647969629230342545976216225090108921757143590322301830787962129778289720168589102773381609
  ( 143 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=8094731531159257114384118790068783897387029934394005132192109889 (pp64)
 r2=2478528387941507389257903805559758966512411806020490482897963327234349291725481 (pp79)
Version: GGNFS-0.77.1-20060513-k8
Total time: 51.97 hours.
Scaled time: 103.16 units (timescale=1.985).
Factorization parameters were as follows:
name: 36667_157
n: 20063021892743443326478130818979587624195871689987254647969629230342545976216225090108921757143590322301830787962129778289720168589102773381609
m: 50000000000000000000000000000000
deg: 5
c5: 44
c0: 125
skew: 1.23
type: snfs
lss: 1
rlim: 3300000
alim: 3300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3300000/3300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1650000, 3150001)
Primes: RFBsize:236900, AFBsize:236813, largePrimes:9295256 encountered
Relations: rels:9908058, finalFF:836964
Max relations in full relation-set: 28
Initial matrix: 473780 x 836964 with sparse part having weight 98632399.
Pruned matrix : 366694 x 369126 with weight 50531157.
Total sieving time: 48.93 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 2.51 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,3300000,3300000,27,27,51,51,2.4,2.4,100000
total time: 51.97 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 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)

11×10158+13

c147

name 名前Serge Batalov
date 日付December 5, 2008 07:14:35 UTC 2008 年 12 月 5 日 (金) 16 時 14 分 35 秒 (日本時間)
composite number 合成数
716145969886424353063705045345701423108319336840934696165230955448572566883712214497732483274991819051353486705377955571485029773507164775098910479<147>
prime factors 素因数
15611366323089686328149847587593711715540807434474824383064092790761<68>
45873369125111275439706510098906208237069667903072673179163397331530328855542839<80>
factorization results 素因数分解の結果
SNFS difficulty: 160 digits.
Divisors found:
 r1=15611366323089686328149847587593711715540807434474824383064092790761 (pp68)
 r2=45873369125111275439706510098906208237069667903072673179163397331530328855542839 (pp80)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.939).
Factorization parameters were as follows:
n: 716145969886424353063705045345701423108319336840934696165230955448572566883712214497732483274991819051353486705377955571485029773507164775098910479
m: 50000000000000000000000000000000
deg: 5
c5: 88
c0: 25
skew: 0.78
type: snfs
lss: 1
rlim: 3300000
alim: 3300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 3300000/3300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [1650000, 2850001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 479736 x 479984
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,160,5,0,0,0,0,0,0,0,0,3300000,3300000,27,27,52,52,2.4,2.4,200000
total time: 21.00 hours.
software ソフトウェア
Msieve-1.39
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 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)

11×10159+13

c159

name 名前Serge Batalov
date 日付November 30, 2008 18:22:29 UTC 2008 年 12 月 1 日 (月) 3 時 22 分 29 秒 (日本時間)
composite number 合成数
126436781609195402298850574712643678160919540229885057471264367816091954022988505747126436781609195402298850574712643678160919540229885057471264367816091954023<159>
prime factors 素因数
4579115157252350396251705660558469<34>
27611618678981302453420401159665729376211279209581066750141573274195794009038548402268649023166636612159131984086746695721467<125>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2518271257
Step 1 took 20041ms
Step 2 took 12929ms
********** Factor found in step 2: 4579115157252350396251705660558469
Found probable prime factor of 34 digits: 4579115157252350396251705660558469
Probable prime cofactor 27611618678981302453420401159665729376211279209581066750141573274195794009038548402268649023166636612159131984086746695721467 has 125 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 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)

11×10160+13

c156

name 名前Serge Batalov
date 日付December 1, 2008 18:43:51 UTC 2008 年 12 月 2 日 (火) 3 時 43 分 51 秒 (日本時間)
composite number 合成数
198237845767351668531904579114021002398677933784955189236045407279654129024002998797957789756149428083814961190436285455289256049408079814161030404279054009<156>
prime factors 素因数
107806408315392186042834496039127146847357843939914262271423059<63>
1838831743539757907265990383385558921051444574734351440522190333306312386979892415634452042051<94>
factorization results 素因数分解の結果
SNFS difficulty: 161 digits.
Divisors found:
 r1=107806408315392186042834496039127146847357843939914262271423059 (pp63)
 r2=1838831743539757907265990383385558921051444574734351440522190333306312386979892415634452042051 (pp94)
Version: Msieve-1.38
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.950).
Factorization parameters were as follows:
n: 198237845767351668531904579114021002398677933784955189236045407279654129024002998797957789756149428083814961190436285455289256049408079814161030404279054009
m: 100000000000000000000000000000000
deg: 5
c5: 11
c0: 1
skew: 0.62
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [1700000, 2600001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 589731 x 589973
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,161,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,52,52,2.4,2.4,100000
total time: 14.00 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 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)

11×10161+13

c158

name 名前Serge Batalov
date 日付December 1, 2008 18:45:58 UTC 2008 年 12 月 2 日 (火) 3 時 45 分 58 秒 (日本時間)
composite number 合成数
14619300134231755777946121233868931329160187658652632138537804181119838390282152492590672886514360139813670374652791621811995800273779620695612880932445543107<158>
prime factors 素因数
1396874562526488259237574101449859344602907037597516643<55>
10465721494555841361661330014966716334135064147047311164221578603816109473930419270673010543406762793249<104>
factorization results 素因数分解の結果
SNFS difficulty: 163 digits.
Divisors found:
 r1=1396874562526488259237574101449859344602907037597516643 (pp55)
 r2=10465721494555841361661330014966716334135064147047311164221578603816109473930419270673010543406762793249 (pp104)
Version: Msieve-1.38
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.316).
Factorization parameters were as follows:
n: 14619300134231755777946121233868931329160187658652632138537804181119838390282152492590672886514360139813670374652791621811995800273779620695612880932445543107
m: 200000000000000000000000000000000
deg: 5
c5: 55
c0: 16
skew: 0.78
type: snfs
lss: 1
rlim: 3700000
alim: 3700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 3700000/3700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [1850000, 3150001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 705916 x 706158
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,163,5,0,0,0,0,0,0,0,0,3700000,3700000,27,27,52,52,2.4,2.4,100000
total time: 25.00 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 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)

11×10162+13

c146

name 名前Robert Backstrom
date 日付December 26, 2008 07:57:01 UTC 2008 年 12 月 26 日 (金) 16 時 57 分 1 秒 (日本時間)
composite number 合成数
59037516448183619208320517613893472549936809145932271117752682219909838415162857923435452340460243053973274572185905190972203813950494013678239387<146>
prime factors 素因数
3601311424601619332921505797693916788527063<43>
219006581842685263283316360850027272068270597<45>
74853176309569178742912503139634782903946826824956002337017<59>
factorization results 素因数分解の結果
Number: n
N=59037516448183619208320517613893472549936809145932271117752682219909838415162857923435452340460243053973274572185905190972203813950494013678239387
  ( 146 digits)
SNFS difficulty: 163 digits.
Divisors found:

Fri Dec 26 18:44:36 2008  prp43 factor: 3601311424601619332921505797693916788527063
Fri Dec 26 18:44:36 2008  prp45 factor: 219006581842685263283316360850027272068270597
Fri Dec 26 18:44:36 2008  prp59 factor: 74853176309569178742912503139634782903946826824956002337017
Fri Dec 26 18:44:36 2008  elapsed time 01:33:44 (Msieve 1.38 - dependency 5)

Version: GGNFS-0.77.1-20050930-k8
Total time: 16.79 hours.
Scaled time: 14.12 units (timescale=0.841).
Factorization parameters were as follows:
name: KA_3_6_161_7
n: 59037516448183619208320517613893472549936809145932271117752682219909838415162857923435452340460243053973274572185905190972203813950494013678239387
type: snfs
skew: 0.25
deg: 5
c5: 1100
c0: 1
m: 100000000000000000000000000000000
rlim: 5000000
alim: 5000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 1600001)
Primes: RFBsize:348513, AFBsize:348887, largePrimes:14234355 encountered
Relations: rels:12742718, finalFF:710763
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2543311 hash collisions in 15298059 relations
Msieve: matrix is 698438 x 698686 (188.0 MB)

Total sieving time: 16.44 hours.
Total relation processing time: 0.35 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,5000000,5000000,28,28,56,56,2.5,2.5,100000
total time: 16.79 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 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)

11×10164+13

c158

name 名前Robert Backstrom
date 日付December 2, 2008 22:17:25 UTC 2008 年 12 月 3 日 (水) 7 時 17 分 25 秒 (日本時間)
composite number 合成数
81275349134886712138007907204830652096508713936557496878841876517770965918364527181764708012027865031790852814110937452781792903169509567549383456284464904159<158>
prime factors 素因数
1266188042683552938501666231379202970184373<43>
64189003840718731051789445749630286944004145691347328068960743453391971858994738506501705251623397446227743373324483<116>
factorization results 素因数分解の結果
Number: n
N=81275349134886712138007907204830652096508713936557496878841876517770965918364527181764708012027865031790852814110937452781792903169509567549383456284464904159
  ( 158 digits)
SNFS difficulty: 166 digits.
Divisors found:

Wed Dec 03 09:12:58 2008  prp43 factor: 1266188042683552938501666231379202970184373
Wed Dec 03 09:12:58 2008  prp116 factor: 64189003840718731051789445749630286944004145691347328068960743453391971858994738506501705251623397446227743373324483
Wed Dec 03 09:12:58 2008  elapsed time 01:58:53 (Msiev 1.39)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 26.81 hours.
Scaled time: 49.04 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_3_6_163_7
n: 81275349134886712138007907204830652096508713936557496878841876517770965918364527181764708012027865031790852814110937452781792903169509567549383456284464904159
type: snfs
skew: 0.98
deg: 5
c5: 11
c0: 10
m: 1000000000000000000000000000000000
rlim: 5000000
alim: 5000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 1500001)
Primes: RFBsize:348513, AFBsize:348432, largePrimes:14090709 encountered
Relations: rels:12617715, finalFF:733115
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 26.54 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,5000000,5000000,28,28,56,56,2.5,2.5,100000
total time: 26.81 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)

11×10165+13

c122

name 名前Markus Tervooren
date 日付January 20, 2009 12:34:13 UTC 2009 年 1 月 20 日 (火) 21 時 34 分 13 秒 (日本時間)
composite number 合成数
26842590144397512873551401406599563534311210783367865165259740185669640725921314367074253535437723207328428322873270685137<122>
prime factors 素因数
26797762685568259691978304690654738199883649061<47>
1001672806023220538619289663280526288901729658106205228988334013295716045117<76>
factorization results 素因数分解の結果
Msieve v. 1.38
Tue Jan 20 12:57:22 2009
random seeds: 42e45458 9525d86b
factoring 26842590144397512873551401406599563534311210783367865165259740185669640725921314367074253535437723207328428322873270685137 (122 digits)
searching for 15-digit factors
commencing number field sieve (122-digit input)
R0: -1000000000000000000000000000000000
R1:  1
A0:  1
A1:  0
A2:  0
A3:  0
A4:  0
A5:  11
size score = 3.209221e-11, Murphy alpha = 0.588883, combined = 2.637243e-11

commencing relation filtering
commencing duplicate removal, pass 1
found 634771 hash collisions in 10563124 relations
added 10658 free relations
commencing duplicate removal, pass 2
found 474889 duplicates and 10098893 unique relations
memory use: 50.6 MB
reading rational ideals above 7536640
reading algebraic ideals above 7536640
commencing singleton removal, pass 1
relations with 0 large ideals: 363104
relations with 1 large ideals: 1861795
relations with 2 large ideals: 3640577
relations with 3 large ideals: 2962077
relations with 4 large ideals: 896083
relations with 5 large ideals: 32823
relations with 6 large ideals: 342434
relations with 7+ large ideals: 0
10098893 relations and about 9260856 large ideals
commencing singleton removal, pass 2
found 3703655 singletons
current dataset: 6395238 relations and about 4652025 large ideals
commencing singleton removal, pass 3
found 904831 singletons
current dataset: 5490407 relations and about 3697823 large ideals
commencing singleton removal, pass 4
found 218819 singletons
current dataset: 5271588 relations and about 3475326 large ideals
commencing singleton removal, final pass
memory use: 80.9 MB
commencing in-memory singleton removal
begin with 5271588 relations and 3675324 unique ideals
reduce to 4793006 relations and 3188955 ideals in 11 passes
max relations containing the same ideal: 67
reading rational ideals above 720000
reading algebraic ideals above 720000
commencing singleton removal, final pass
keeping 3867001 ideals with weight <= 20, new excess is 405067
memory use: 128.4 MB
commencing in-memory singleton removal
begin with 4803664 relations and 3867001 unique ideals
reduce to 4780621 relations and 3791720 ideals in 9 passes
max relations containing the same ideal: 20
removing 1185259 relations and 925747 ideals in 259512 cliques
commencing in-memory singleton removal
begin with 3595362 relations and 3791720 unique ideals
reduce to 3415831 relations and 2674760 ideals in 8 passes
max relations containing the same ideal: 20
removing 914096 relations and 654584 ideals in 259512 cliques
commencing in-memory singleton removal
begin with 2501735 relations and 2674760 unique ideals
reduce to 2345224 relations and 1852304 ideals in 9 passes
max relations containing the same ideal: 19
removing 135512 relations and 112470 ideals in 23042 cliques
commencing in-memory singleton removal
begin with 2209712 relations and 1852304 unique ideals
reduce to 2204720 relations and 1734792 ideals in 5 passes
max relations containing the same ideal: 19
relations with 0 large ideals: 47447
relations with 1 large ideals: 256449
relations with 2 large ideals: 603335
relations with 3 large ideals: 695913
relations with 4 large ideals: 423179
relations with 5 large ideals: 141638
relations with 6 large ideals: 34263
relations with 7+ large ideals: 2496
commencing 2-way merge
reduce to 1440888 relation sets and 970960 unique ideals
commencing full merge
memory use: 88.6 MB
found 700024 cycles, need 637160
weight of 637160 cycles is about 44625763 (70.04/cycle)
distribution of cycle lengths:
1 relations: 71310
2 relations: 62858
3 relations: 65299
4 relations: 63476
5 relations: 60549
6 relations: 55936
7 relations: 50741
8 relations: 44766
9 relations: 39151
10+ relations: 123074
heaviest cycle: 17 relations
commencing cycle optimization
start with 3795715 relations
pruned 140533 relations
memory use: 119.7 MB
distribution of cycle lengths:
1 relations: 71310
2 relations: 64873
3 relations: 68577
4 relations: 66515
5 relations: 63668
6 relations: 58180
7 relations: 52654
8 relations: 45831
9 relations: 39129
10+ relations: 106423
heaviest cycle: 16 relations

commencing linear algebra
read 637160 cycles
cycles contain 1947546 unique relations
read 1947546 relations
using 32 quadratic characters above 134205218
building initial matrix
memory use: 241.3 MB
read 637160 cycles
matrix is 636905 x 637160 (187.8 MB) with weight 60278730 (94.61/col)
sparse part has weight 42210821 (66.25/col)
filtering completed in 3 passes
matrix is 634790 x 634990 (187.4 MB) with weight 60136200 (94.70/col)
sparse part has weight 42132219 (66.35/col)
read 634990 cycles
matrix is 634790 x 634990 (187.4 MB) with weight 60136200 (94.70/col)
sparse part has weight 42132219 (66.35/col)
saving the first 48 matrix rows for later
matrix is 634742 x 634990 (179.4 MB) with weight 46027776 (72.49/col)
sparse part has weight 40680313 (64.06/col)
matrix includes 64 packed rows
using block size 65536 for processor cache size 4096 kB
commencing Lanczos iteration (4 threads)
memory use: 183.7 MB
linear algebra completed 634480 of 634990 dimensions (99.9%, ETA 0h 0m)
lanczos halted after 10041 iterations (dim = 634740)
recovered 48 nontrivial dependencies

commencing square root phase
reading relations for dependency 1
read 317703 cycles
cycles contain 1209362 unique relations
read 1209362 relations
multiplying 973474 relations
multiply complete, coefficients have about 24.43 million bits
initial square root is modulo 10385591
prp47 factor: 26797762685568259691978304690654738199883649061
prp76 factor: 1001672806023220538619289663280526288901729658106205228988334013295716045117
elapsed time 00:40:42
software ソフトウェア
gnfs-lasieve4I13e / msieve
execution environment 実行環境
Q6700, Linux

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)
351e61000Markus TervoorenJanuary 15, 2009 13:31:14 UTC 2009 年 1 月 15 日 (木) 22 時 31 分 14 秒 (日本時間)
403e62900300Markus TervoorenJanuary 19, 2009 08:56:42 UTC 2009 年 1 月 19 日 (月) 17 時 56 分 42 秒 (日本時間)
600Markus TervoorenJanuary 20, 2009 02:10:38 UTC 2009 年 1 月 20 日 (火) 11 時 10 分 38 秒 (日本時間)
2000Markus TervoorenJanuary 20, 2009 12:04:57 UTC 2009 年 1 月 20 日 (火) 21 時 4 分 57 秒 (日本時間)
4511e64000Markus TervoorenJanuary 20, 2009 12:33:26 UTC 2009 年 1 月 20 日 (火) 21 時 33 分 26 秒 (日本時間)

11×10167+13

c157

name 名前Ignacio Santos
date 日付March 22, 2009 12:57:34 UTC 2009 年 3 月 22 日 (日) 21 時 57 分 34 秒 (日本時間)
composite number 合成数
1433160375378246967538829528995992399920964573485346432325743080005051346816679054388297120909596040511367262821916323312932145259760301536419849988687539513<157>
prime factors 素因数
759382237599703068226186568773861458713<39>
2871319944773339904197170463553741091654931<43>
657283560153017018445541294295980692946948772344737839113428718868371336571<75>
factorization results 素因数分解の結果
Number: 36667_167
N=1433160375378246967538829528995992399920964573485346432325743080005051346816679054388297120909596040511367262821916323312932145259760301536419849988687539513
  ( 157 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=759382237599703068226186568773861458713 (pp39)
 r2=2871319944773339904197170463553741091654931 (pp43)
 r3=657283560153017018445541294295980692946948772344737839113428718868371336571 (pp75)
Version: Msieve-1.39
Total time: 48.74 hours.
Scaled time: 84.76 units (timescale=1.739).
Factorization parameters were as follows:
n: 1433160375378246967538829528995992399920964573485346432325743080005051346816679054388297120909596040511367262821916323312932145259760301536419849988687539513
m: 5000000000000000000000000000000000
deg: 5
c5: 44
c0: 125
skew: 1.23
type: snfs
lss: 1
rlim: 4800000
alim: 4800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2400000, 5100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 953625 x 953873
Total sieving time: 48.74 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,170,5,0,0,0,0,0,0,0,0,4800000,4800000,27,27,52,52,2.4,2.4,100000
total time: 48.74 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 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)

11×10169+13

c168

name 名前Serge Batalov
date 日付December 1, 2008 03:35:23 UTC 2008 年 12 月 1 日 (月) 12 時 35 分 23 秒 (日本時間)
composite number 合成数
990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990991<168>
prime factors 素因数
11030812224377842345662744222070095528811<41>
89838442612677568783127992344632191440505401986005659153984016763066092470526608932676002858732238476800246754010447349587574381<128>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1370658292
Step 1 took 24924ms
Step 2 took 16947ms
********** Factor found in step 2: 11030812224377842345662744222070095528811
Found probable prime factor of 41 digits: 11030812224377842345662744222070095528811
Probable prime cofactor 89838442612677568783127992344632191440505401986005659153984016763066092470526608932676002858732238476800246754010447349587574381 has 128 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 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)

11×10174+13

c162

name 名前Serge Batalov
date 日付November 30, 2008 18:23:46 UTC 2008 年 12 月 1 日 (月) 3 時 23 分 46 秒 (日本時間)
composite number 合成数
146050293078986857343348904701195070920739441197554287236911976513790718790257013821712502555933284052402342910548281994948950946723495577664150616929334965317019<162>
prime factors 素因数
1431643137143289612013395042921649<34>
102015851080330394950115333716070269018964607525472741780280632981612360170145484208680248953025985904139335171265173737731269131<129>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1752658758
Step 1 took 19541ms
Step 2 took 12577ms
********** Factor found in step 2: 1431643137143289612013395042921649
Found probable prime factor of 34 digits: 1431643137143289612013395042921649
Probable prime cofactor 102015851080330394950115333716070269018964607525472741780280632981612360170145484208680248953025985904139335171265173737731269131 has 129 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 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)

11×10175+13

c161

name 名前Wataru Sakai
date 日付September 23, 2010 05:02:32 UTC 2010 年 9 月 23 日 (木) 14 時 2 分 32 秒 (日本時間)
composite number 合成数
39516964278010121838221560348929923919976063393555405241691610502274488417300913738464793100827599053554601008386250602911686766690899808056793922576347400814863<161>
prime factors 素因数
893415466607885543729621197988254440279502885239725180258096479559<66>
44231341134095085144890260490645526205486485546432178768676390740353425113909906795799341720057<95>
factorization results 素因数分解の結果
Number: 36667_175
N=39516964278010121838221560348929923919976063393555405241691610502274488417300913738464793100827599053554601008386250602911686766690899808056793922576347400814863
  ( 161 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=893415466607885543729621197988254440279502885239725180258096479559
 r2=44231341134095085144890260490645526205486485546432178768676390740353425113909906795799341720057
Version: 
Total time: 83.69 hours.
Scaled time: 167.72 units (timescale=2.004).
Factorization parameters were as follows:
n: 39516964278010121838221560348929923919976063393555405241691610502274488417300913738464793100827599053554601008386250602911686766690899808056793922576347400814863
m: 100000000000000000000000000000000000
deg: 5
c5: 11
c0: 1
skew: 0.62
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3000000, 5500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 836893 x 837141
Total sieving time: 83.69 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,176,5,0,0,0,0,0,0,0,0,6000000,6000000,28,28,53,53,2.5,2.5,100000
total time: 83.69 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 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosJune 17, 2010 19:40:23 UTC 2010 年 6 月 18 日 (金) 4 時 40 分 23 秒 (日本時間)
403e62144110Ignacio SantosJune 17, 2010 19:40:23 UTC 2010 年 6 月 18 日 (金) 4 時 40 分 23 秒 (日本時間)
2034Wataru SakaiJune 19, 2010 02:20:35 UTC 2010 年 6 月 19 日 (土) 11 時 20 分 35 秒 (日本時間)
4511e632 / 3991Ignacio SantosJune 17, 2010 19:40:23 UTC 2010 年 6 月 18 日 (金) 4 時 40 分 23 秒 (日本時間)

11×10176+13

c162

name 名前Warut Roonguthai
date 日付November 14, 2011 01:51:31 UTC 2011 年 11 月 14 日 (月) 10 時 51 分 31 秒 (日本時間)
composite number 合成数
516429183791803809574929519735554273309063571414844731822360180922565295166549605241313144250926246841832073847421253869626718410428556526476492499703875504817881<162>
prime factors 素因数
1487638210659409026174095988199123382911514608075276261322986694537067498887923<79>
347147028149332038065724994417824725970349031446240617817633224664822129152713388547<84>
factorization results 素因数分解の結果
N = 516429183791803809574929519735554273309063571414844731822360180922565295166549605241313144250926246841832073847421253869626718410428556526476492499703875504817881 (162 digits)
SNFS difficulty: 178 digits.
Divisors found:
r1=1487638210659409026174095988199123382911514608075276261322986694537067498887923 (pp79)
r2=347147028149332038065724994417824725970349031446240617817633224664822129152713388547 (pp84)
Version: Msieve v. 1.48
Total time: 32.59 hours.
Factorization parameters were as follows:
name: (11*10^176+1)/3
n: 516429183791803809574929519735554273309063571414844731822360180922565295166549605241313144250926246841832073847421253869626718410428556526476492499703875504817881
Y0: 100000000000000000000000000000000000
Y1: -1
c0: 1
c1: 0
c2: 0
c3: 0
c4: 0
c5: 110
skew: 0.39
type: snfs
Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 20177121
Relations: 2585720 relations
Pruned matrix : 1448707 x 1448932
Polynomial selection time: 0.00 hours.
Total sieving time: 29.55 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 2.76 hours.
time per square root: 0.15 hours.
Prototype def-par.txt line would be: snfs,178,5,0,0,0,0,0,0,0,0,6500000,6500000,28,28,55,55,2.5,2.5,100000
total time: 32.59 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 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovMay 12, 2011 14:03:50 UTC 2011 年 5 月 12 日 (木) 23 時 3 分 50 秒 (日本時間)
4511e64800Wataru SakaiSeptember 26, 2011 02:50:08 UTC 2011 年 9 月 26 日 (月) 11 時 50 分 8 秒 (日本時間)

11×10178+13

c150

name 名前Dmitry Domanov
date 日付June 7, 2013 09:16:14 UTC 2013 年 6 月 7 日 (金) 18 時 16 分 14 秒 (日本時間)
composite number 合成数
282745036881402162980166818784611449609107365254698127318143176014769936906070927675727475009958006831277233861423757651013777289725634986125274441653<150>
prime factors 素因数
5517083267616743297120367542459219302942446121729<49>
51249006615689833790188967576381776307665810006027903957143499672767828112131306332324496999290443957<101>
factorization results 素因数分解の結果
N=282745036881402162980166818784611449609107365254698127318143176014769936906070927675727475009958006831277233861423757651013777289725634986125274441653
  ( 150 digits)
SNFS difficulty: 179 digits.
Divisors found:
 r1=5517083267616743297120367542459219302942446121729 (pp49)
 r2=51249006615689833790188967576381776307665810006027903957143499672767828112131306332324496999290443957 (pp101)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 83.73 hours.
Scaled time: 161.18 units (timescale=1.925).
Factorization parameters were as follows:
n: 282745036881402162980166818784611449609107365254698127318143176014769936906070927675727475009958006831277233861423757651013777289725634986125274441653
m: 100000000000000000000000000000000000
deg: 5
c5: 11000
c0: 1
skew: 0.16
# Murphy_E = 1.179e-10
type: snfs
lss: 1
rlim: 6700000
alim: 6700000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 6700000/6700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3350000, 7750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1439581 x 1439811
Total sieving time: 81.40 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 2.04 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,179.000,5,0,0,0,0,0,0,0,0,6700000,6700000,28,28,53,53,2.5,2.5,100000
total time: 83.73 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 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)
351e60--
403e62336300Dmitry DomanovMay 12, 2011 14:03:57 UTC 2011 年 5 月 12 日 (木) 23 時 3 分 57 秒 (日本時間)
2036Wataru SakaiMarch 22, 2012 05:31:05 UTC 2012 年 3 月 22 日 (木) 14 時 31 分 5 秒 (日本時間)

11×10179+13

c172

name 名前Wataru Sakai
date 日付August 29, 2010 03:20:28 UTC 2010 年 8 月 29 日 (日) 12 時 20 分 28 秒 (日本時間)
composite number 合成数
4447673023770196271645899692867556679194103805591177036191916266134505015376030193780382938905805074122917161293394474928323626468909214943296677270040455508190129077900059<172>
prime factors 素因数
4062296562707297358844991901750525102767<40>
6246039505457910541494619126208072497961<40>
175289741247410486198562630742155176797279132670296710628435547139218586902183437524818849357<93>
factorization results 素因数分解の結果
Number: 36667_179
N=4447673023770196271645899692867556679194103805591177036191916266134505015376030193780382938905805074122917161293394474928323626468909214943296677270040455508190129077900059
  ( 172 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=4062296562707297358844991901750525102767
 r2=6246039505457910541494619126208072497961
 r3=175289741247410486198562630742155176797279132670296710628435547139218586902183437524818849357
Version: 
Total time: 206.99 hours.
Scaled time: 415.43 units (timescale=2.007).
Factorization parameters were as follows:
n: 4447673023770196271645899692867556679194103805591177036191916266134505015376030193780382938905805074122917161293394474928323626468909214943296677270040455508190129077900059
m: 100000000000000000000000000000000000
deg: 5
c5: 110000
c0: 1
skew: 0.10
type: snfs
lss: 1
rlim: 7000000
alim: 7000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3500000, 5700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 838654 x 838902
Total sieving time: 206.99 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,180,5,0,0,0,0,0,0,0,0,7000000,7000000,28,28,53,53,2.5,2.5,100000
total time: 206.99 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 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosJune 18, 2010 16:46:33 UTC 2010 年 6 月 19 日 (土) 1 時 46 分 33 秒 (日本時間)
403e62144110Ignacio SantosJune 18, 2010 16:46:33 UTC 2010 年 6 月 19 日 (土) 1 時 46 分 33 秒 (日本時間)
2034Wataru SakaiJune 29, 2010 05:50:40 UTC 2010 年 6 月 29 日 (火) 14 時 50 分 40 秒 (日本時間)
4511e632 / 3991Ignacio SantosJune 18, 2010 16:46:33 UTC 2010 年 6 月 19 日 (土) 1 時 46 分 33 秒 (日本時間)

11×10181+13

c172

name 名前Robert Backstrom
date 日付February 2, 2012 02:27:10 UTC 2012 年 2 月 2 日 (木) 11 時 27 分 10 秒 (日本時間)
composite number 合成数
4002495879728222933757000462217721022147994082855782259817322048439271474145965901611734890627457560328434109944242104262924216029804846385582265638966860034443470288009463<172>
prime factors 素因数
10905410780162656819613512455615837082468916188215552894644437145282544436421<77>
367019267812351470809773879128645674324689358075404776986456768496906939191541539509582451096203<96>
factorization results 素因数分解の結果
Number: n
N=4002495879728222933757000462217721022147994082855782259817322048439271474145965901611734890627457560328434109944242104262924216029804846385582265638966860034443470288009463
  ( 172 digits)
SNFS difficulty: 182 digits.
Divisors found:

Thu Feb  2 12:57:17 2012  prp77 factor: 10905410780162656819613512455615837082468916188215552894644437145282544436421
Thu Feb  2 12:57:17 2012  prp96 factor: 367019267812351470809773879128645674324689358075404776986456768496906939191541539509582451096203
Thu Feb  2 12:57:17 2012  elapsed time 02:40:53 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.088).
Factorization parameters were as follows:
name: KA_36667_181
n: 4002495879728222933757000462217721022147994082855782259817322048439271474145965901611734890627457560328434109944242104262924216029804846385582265638966860034443470288009463
m: 1000000000000000000000000000000000000
deg: 5
c5: 110
c0: 1
skew: 0.39
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 11900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5617721 hash collisions in 77533584 relations
Msieve: matrix is 1057139 x 1057387 (290.5 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,182,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5660.90 BogoMIPS (lpj=2830452)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830459)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830457)
Total of 4 processors activated (22643.63 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)
351e660Rich DickersonDecember 19, 2010 05:05:36 UTC 2010 年 12 月 19 日 (日) 14 時 5 分 36 秒 (日本時間)
403e6300 / 2320Dmitry DomanovMay 12, 2011 14:04:06 UTC 2011 年 5 月 12 日 (木) 23 時 4 分 6 秒 (日本時間)

11×10183+13

c171

name 名前Robert Backstrom
date 日付February 28, 2012 01:51:18 UTC 2012 年 2 月 28 日 (火) 10 時 51 分 18 秒 (日本時間)
composite number 合成数
217813384927691083835333454325144004470830506742443844992938336599332849500783000610903586099880826847668502174389769986864375673137319504664585778566580433971610070286251<171>
prime factors 素因数
17964614384037642353893397238458617223574053281037274306000774875074009841347007<80>
12124578923398876232994595657252388999138844661830380796940327451667132191338012032965487893<92>
factorization results 素因数分解の結果
Number: n
N=217813384927691083835333454325144004470830506742443844992938336599332849500783000610903586099880826847668502174389769986864375673137319504664585778566580433971610070286251
  ( 171 digits)
SNFS difficulty: 184 digits.
Divisors found:

Tue Feb 28 11:23:46 2012  prp80 factor: 17964614384037642353893397238458617223574053281037274306000774875074009841347007
Tue Feb 28 11:23:46 2012  prp92 factor: 12124578923398876232994595657252388999138844661830380796940327451667132191338012032965487893
Tue Feb 28 11:23:46 2012  elapsed time 02:27:30 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.602).
Factorization parameters were as follows:
name: KA_36667_183
n: 217813384927691083835333454325144004470830506742443844992938336599332849500783000610903586099880826847668502174389769986864375673137319504664585778566580433971610070286251
m: 1000000000000000000000000000000000000
#  c171, diff: 184.04
skew: 0.16
deg: 5
c5: 11000
c0: 1
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 9000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5967184 hash collisions in 75830166 relations (72573810 unique)
Msieve: matrix is 1032185 x 1032433 (287.2 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,184,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.93 BogoMIPS (lpj=2798468)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.12 BogoMIPS (lpj=2797560)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Total of 8 processors activated (44762.71 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)
351e660Rich DickersonDecember 19, 2010 05:24:09 UTC 2010 年 12 月 19 日 (日) 14 時 24 分 9 秒 (日本時間)
403e6300 / 2320Dmitry DomanovMay 12, 2011 14:04:16 UTC 2011 年 5 月 12 日 (木) 23 時 4 分 16 秒 (日本時間)

11×10184+13

c145

name 名前Dmitry Domanov
date 日付July 3, 2013 09:11:33 UTC 2013 年 7 月 3 日 (水) 18 時 11 分 33 秒 (日本時間)
composite number 合成数
3234362910386465988640837417648095779736146718996550266707636221359617067739445279652742860721141103259717627082465562547428212067773343017732297<145>
prime factors 素因数
3104149461815295473619379584804241988646794488847686171<55>
1041948189084626794113710281094585726243296849255109039307605986628460482770377996941072107<91>
factorization results 素因数分解の結果
N=3234362910386465988640837417648095779736146718996550266707636221359617067739445279652742860721141103259717627082465562547428212067773343017732297
  ( 145 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=3104149461815295473619379584804241988646794488847686171 (pp55)
 r2=1041948189084626794113710281094585726243296849255109039307605986628460482770377996941072107 (pp91)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 123.22 hours.
Scaled time: 236.82 units (timescale=1.922).
Factorization parameters were as follows:
n: 3234362910386465988640837417648095779736146718996550266707636221359617067739445279652742860721141103259717627082465562547428212067773343017732297
m: 5000000000000000000000000000000000000
deg: 5
c5: 176
c0: 5
skew: 0.49
# Murphy_E = 7.469e-11
type: snfs
lss: 1
rlim: 8700000
alim: 8700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 8700000/8700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4350000, 10350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1622741 x 1622966
Total sieving time: 120.09 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 2.60 hours.
Time per square root: 0.30 hours.
Prototype def-par.txt line would be:
snfs,185.000,5,0,0,0,0,0,0,0,0,8700000,8700000,28,28,54,54,2.5,2.5,100000
total time: 123.22 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 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Dmitry DomanovMay 12, 2011 14:04:26 UTC 2011 年 5 月 12 日 (木) 23 時 4 分 26 秒 (日本時間)

11×10185+13

c153

name 名前Dmitry Domanov
date 日付August 12, 2013 07:40:06 UTC 2013 年 8 月 12 日 (月) 16 時 40 分 6 秒 (日本時間)
composite number 合成数
487402023003431436295098858946111112289864066749788536037699705324750922533933949982333409615035626619956582360780469117851231281637680956856092712326481<153>
prime factors 素因数
54652119530436121271259172894022324135393<41>
8918263869564913683392133544153049130369321252415540051185570520312665370846303383180275960697625583385934773617<112>
factorization results 素因数分解の結果
N=487402023003431436295098858946111112289864066749788536037699705324750922533933949982333409615035626619956582360780469117851231281637680956856092712326481
  ( 153 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=54652119530436121271259172894022324135393 (pp41)
 r2=8918263869564913683392133544153049130369321252415540051185570520312665370846303383180275960697625583385934773617 (pp112)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 115.17 hours.
Scaled time: 221.71 units (timescale=1.925).
Factorization parameters were as follows:
n: 487402023003431436295098858946111112289864066749788536037699705324750922533933949982333409615035626619956582360780469117851231281637680956856092712326481
m: 10000000000000000000000000000000000000
deg: 5
c5: 11
c0: 1
skew: 0.62
# Murphy_E = 8.918e-11
type: snfs
lss: 1
rlim: 8800000
alim: 8800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 8800000/8800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4400000, 10000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1545921 x 1546154
Total sieving time: 112.49 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 2.30 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,186.000,5,0,0,0,0,0,0,0,0,8800000,8800000,28,28,54,54,2.5,2.5,100000
total time: 115.17 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)
351e660Rich DickersonDecember 19, 2010 05:43:51 UTC 2010 年 12 月 19 日 (日) 14 時 43 分 51 秒 (日本時間)
403e6300 / 2320Dmitry DomanovMay 12, 2011 14:04:35 UTC 2011 年 5 月 12 日 (木) 23 時 4 分 35 秒 (日本時間)

11×10186+13

c164

name 名前Serge Batalov
date 日付November 30, 2008 18:30:16 UTC 2008 年 12 月 1 日 (月) 3 時 30 分 16 秒 (日本時間)
composite number 合成数
19842009177028425851899388208689490397609901312094354724811150883045541433177775025511718341966254206916821388805499891994978175361154069154366538849098389468618379<164>
prime factors 素因数
1774927193533712492005677033453671123<37>
composite cofactor 合成数の残り
11179055258894793670224353164464161111390294918481458753128549105128717218169765741212056666252299726580644182426721221367136873<128>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3358102994
Step 1 took 24726ms
Step 2 took 16644ms
********** Factor found in step 2: 1774927193533712492005677033453671123
Found probable prime factor of 37 digits: 1774927193533712492005677033453671123
Composite cofactor 11179055258894793670224353164464161111390294918481458753128549105128717218169765741212056666252299726580644182426721221367136873 has 128 digits
software ソフトウェア
GMP-ECM 6.2.1

c128

name 名前Sinkiti Sibata
date 日付April 19, 2010 08:56:52 UTC 2010 年 4 月 19 日 (月) 17 時 56 分 52 秒 (日本時間)
composite number 合成数
11179055258894793670224353164464161111390294918481458753128549105128717218169765741212056666252299726580644182426721221367136873<128>
prime factors 素因数
1446233167923918048814008292943279399335637967498949508145919811<64>
7729773806074740738913055351150688997868372147521033706667235043<64>
factorization results 素因数分解の結果
Number: 36667_186
N=11179055258894793670224353164464161111390294918481458753128549105128717218169765741212056666252299726580644182426721221367136873
  ( 128 digits)
Divisors found:
 r1=1446233167923918048814008292943279399335637967498949508145919811 (pp64)
 r2=7729773806074740738913055351150688997868372147521033706667235043 (pp64)
Version: Msieve-1.40
Total time: 102.75 hours.
Scaled time: 321.30 units (timescale=3.127).
Factorization parameters were as follows:
name: 36667_186
# Murphy_E = 1.195602e-10, selected by Jeff Gilchrist
n: 11179055258894793670224353164464161111390294918481458753128549105128717218169765741212056666252299726580644182426721221367136873
Y0: -3358564545611436407702367
Y1: 82559321707489
c0: 4691436674441668522035667105216
c1: -75290097729413585973679758
c2: -225610841690077917677
c3: -3992638835387940
c4: -2774120012
c5: 26160
skew: 272850.29
type: gnfs
# selected mechanically
rlim: 8100000
alim: 8100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8100000/8100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved algebraic special-q in [4050000, 7850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1137816 x 1138064
Total sieving time: 99.73 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 2.65 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
gnfs,127,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,8100000,8100000,28,28,53,53,2.5,2.5,100000
total time: 102.75 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 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 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)
351e60--
403e62336500Erik BrangerMarch 16, 2009 19:54:07 UTC 2009 年 3 月 17 日 (火) 4 時 54 分 7 秒 (日本時間)
1836Wataru SakaiDecember 2, 2009 06:37:01 UTC 2009 年 12 月 2 日 (水) 15 時 37 分 1 秒 (日本時間)

11×10188+13

c169

name 名前Dmitry Domanov
date 日付September 11, 2013 05:00:03 UTC 2013 年 9 月 11 日 (水) 14 時 0 分 3 秒 (日本時間)
composite number 合成数
6521049063247908712654292990866145539428976936497018272041766641082112724098573239033513134495979497605076398847093899563815422439188266813547922941700627268273580101833<169>
prime factors 素因数
14368488178779128362543890477923250587689<41>
453843785241015782210899994659047358604471963214440921080182015936850822842634143146539706883449782496607144760398235035149064097<129>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=383453925
Step 1 took 76071ms
Step 2 took 24824ms
********** Factor found in step 2: 14368488178779128362543890477923250587689
Found probable prime factor of 41 digits: 14368488178779128362543890477923250587689

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)
351e660Rich DickersonDecember 19, 2010 05:45:28 UTC 2010 年 12 月 19 日 (日) 14 時 45 分 28 秒 (日本時間)
403e61800300Dmitry DomanovMay 12, 2011 14:04:45 UTC 2011 年 5 月 12 日 (木) 23 時 4 分 45 秒 (日本時間)
1500Dmitry DomanovAugust 21, 2013 13:25:05 UTC 2013 年 8 月 21 日 (水) 22 時 25 分 5 秒 (日本時間)
4511e61000 / 4078Dmitry DomanovSeptember 10, 2013 13:40:50 UTC 2013 年 9 月 10 日 (火) 22 時 40 分 50 秒 (日本時間)

11×10189+13

c153

name 名前Jo Yeong Uk
date 日付January 13, 2017 09:46:15 UTC 2017 年 1 月 13 日 (金) 18 時 46 分 15 秒 (日本時間)
composite number 合成数
147031869124243355298736276652047139493370270323074044043523978867830914912185933552104407052809113984430045715950318603907221312740648851588117347318169<153>
prime factors 素因数
20208738016051671156065475698406419062150231571762236043683904487451<68>
7275658133994160520459468985924025634930408837484907636529236430130244134953988886619<85>
factorization results 素因数分解の結果
Number: 36667_189
N=147031869124243355298736276652047139493370270323074044043523978867830914912185933552104407052809113984430045715950318603907221312740648851588117347318169
  ( 153 digits)
SNFS difficulty: 191 digits.
Divisors found:
 r1=20208738016051671156065475698406419062150231571762236043683904487451
 r2=7275658133994160520459468985924025634930408837484907636529236430130244134953988886619
Version: 
Total time: 90.87 hours.
Scaled time: 477.16 units (timescale=5.251).
Factorization parameters were as follows:
n: 147031869124243355298736276652047139493370270323074044043523978867830914912185933552104407052809113984430045715950318603907221312740648851588117347318169
m: 100000000000000000000000000000000000000
deg: 5
c5: 11
c0: 10
skew: 0.98
# Murphy_E = 4.663e-11
type: snfs
lss: 1
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4500000, 8500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20921117
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1722204 x 1722452
Total sieving time: 84.56 hours.
Total relation processing time: 2.23 hours.
Matrix solve time: 3.98 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,54,54,2.5,2.5,100000
total time: 90.87 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)
351e60--
403e61800300Dmitry DomanovMay 12, 2011 14:04:59 UTC 2011 年 5 月 12 日 (木) 23 時 4 分 59 秒 (日本時間)
1500Dmitry DomanovAugust 21, 2013 13:25:13 UTC 2013 年 8 月 21 日 (水) 22 時 25 分 13 秒 (日本時間)
4511e61000 / 4081Dmitry DomanovSeptember 9, 2013 14:04:50 UTC 2013 年 9 月 9 日 (月) 23 時 4 分 50 秒 (日本時間)

11×10190+13

c172

name 名前Dmitry Domanov
date 日付September 10, 2013 07:40:33 UTC 2013 年 9 月 10 日 (火) 16 時 40 分 33 秒 (日本時間)
composite number 合成数
6923633510037577316137060137119492214244027343134539697651666376744400594340113813175692233534362790399697162887165157695813761282263640120951131281515780118478808954151653<172>
prime factors 素因数
3306813799335070061589128693489908546793661223<46>
2093747616339865519406576663764616950056982133158118072016531229740634275538629800628858206388925934292903343109844733191643411<127>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2804404462
Step 1 took 73441ms
Step 2 took 24155ms
********** Factor found in step 2: 3306813799335070061589128693489908546793661223
Found probable prime factor of 46 digits: 3306813799335070061589128693489908546793661223

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)
351e60--
403e61800300Dmitry DomanovMay 12, 2011 14:05:18 UTC 2011 年 5 月 12 日 (木) 23 時 5 分 18 秒 (日本時間)
1500Dmitry DomanovAugust 21, 2013 13:25:21 UTC 2013 年 8 月 21 日 (水) 22 時 25 分 21 秒 (日本時間)
4511e61000 / 4081Dmitry DomanovSeptember 9, 2013 14:04:37 UTC 2013 年 9 月 9 日 (月) 23 時 4 分 37 秒 (日本時間)

11×10193+13

c189

name 名前Wataru Sakai
date 日付October 27, 2009 13:04:42 UTC 2009 年 10 月 27 日 (火) 22 時 4 分 42 秒 (日本時間)
composite number 合成数
508461257563361206254997943043094402766029241144684962027188810154433551047199071827086193427907127240118517696762950739348892247814772186244736270390452022057973828112360693171365310924059<189>
prime factors 素因数
3877282014566842518519492328248181190291969603383<49>
92484341434178074305109486526779408950878040850072954005996360127<65>
1417954412002055454225203117654102106991785323552900390351400853029752285699<76>
factorization results 素因数分解の結果
Number: 36667_193
N=508461257563361206254997943043094402766029241144684962027188810154433551047199071827086193427907127240118517696762950739348892247814772186244736270390452022057973828112360693171365310924059
  ( 189 digits)
SNFS difficulty: 195 digits.
Divisors found:
 r1=3877282014566842518519492328248181190291969603383
 r2=92484341434178074305109486526779408950878040850072954005996360127
 r3=1417954412002055454225203117654102106991785323552900390351400853029752285699
Version: 
Total time: 548.33 hours.
Scaled time: 1104.89 units (timescale=2.015).
Factorization parameters were as follows:
n: 508461257563361206254997943043094402766029241144684962027188810154433551047199071827086193427907127240118517696762950739348892247814772186244736270390452022057973828112360693171365310924059
m: 500000000000000000000000000000000000000
deg: 5
c5: 88
c0: 25
skew: 0.78
type: snfs
lss: 1
rlim: 12700000
alim: 12700000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5Factor base limits: 12700000/12700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6350000, 12050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1962220 x 1962468
Total sieving time: 548.33 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,195,5,0,0,0,0,0,0,0,0,12700000,12700000,28,28,55,55,2.5,2.5,100000
total time: 548.33 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 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiSeptember 10, 2009 10:45:49 UTC 2009 年 9 月 10 日 (木) 19 時 45 分 49 秒 (日本時間)

11×10195+13

c154

name 名前Jo Yeong Uk
date 日付February 19, 2017 03:11:04 UTC 2017 年 2 月 19 日 (日) 12 時 11 分 4 秒 (日本時間)
composite number 合成数
2039020439106489102276456800987806843381462633642512118017446882321641477396993700511397721997152874657091775197802552241868156074743171308013078996095103<154>
prime factors 素因数
1505817680830252486264372964979618900120147067<46>
1354095163753322531006341701044412698740329230473623248563763300289926491557719275827628824604830991066914509<109>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 2039020439106489102276456800987806843381462633642512118017446882321641477396993700511397721997152874657091775197802552241868156074743171308013078996095103 (154 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4109401802
Step 1 took 24672ms
Step 2 took 9043ms
********** Factor found in step 2: 1505817680830252486264372964979618900120147067
Found probable prime factor of 46 digits: 1505817680830252486264372964979618900120147067
Probable prime cofactor 1354095163753322531006341701044412698740329230473623248563763300289926491557719275827628824604830991066914509 has 109 digits
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)
351e60--
403e61800300Dmitry DomanovMay 12, 2011 14:05:27 UTC 2011 年 5 月 12 日 (木) 23 時 5 分 27 秒 (日本時間)
1500Dmitry DomanovAugust 21, 2013 13:25:32 UTC 2013 年 8 月 21 日 (水) 22 時 25 分 32 秒 (日本時間)
4511e61500 / 4081Dmitry DomanovSeptember 9, 2013 14:04:17 UTC 2013 年 9 月 9 日 (月) 23 時 4 分 17 秒 (日本時間)

11×10197+13

c190

name 名前Robert Backstrom
date 日付November 20, 2010 14:59:53 UTC 2010 年 11 月 20 日 (土) 23 時 59 分 53 秒 (日本時間)
composite number 合成数
4560431927297030379810639506757281122390952537541029946934440967723157470765050556139905809585226104328594907747913899857798684566627315528735461918252076987570041134639941026484322853987287<190>
prime factors 素因数
1117778777456537315258975661901380605364856517524036457673719<61>
4079905630051518876670297978016311694089772690652137319255348581383601099633659188715041971984401485157063873111788834503963498273<130>
factorization results 素因数分解の結果
Number: n
N=4560431927297030379810639506757281122390952537541029946934440967723157470765050556139905809585226104328594907747913899857798684566627315528735461918252076987570041134639941026484322853987287
  ( 190 digits)
SNFS difficulty: 198 digits.
Divisors found:

Sun Nov 21 01:48:17 2010  prp61 factor: 1117778777456537315258975661901380605364856517524036457673719
Sun Nov 21 01:48:17 2010  prp130 factor: 4079905630051518876670297978016311694089772690652137319255348581383601099633659188715041971984401485157063873111788834503963498273
Sun Nov 21 01:48:17 2010  elapsed time 05:04:44 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.082).
Factorization parameters were as follows:
name: KA_3_6_196_7
n: 4560431927297030379810639506757281122390952537541029946934440967723157470765050556139905809585226104328594907747913899857798684566627315528735461918252076987570041134639941026484322853987287
m: 1000000000000000000000000000000000000000
deg: 5
c5: 1100
c0: 1
skew: 0.25
type: snfs
lss: 1
rlim: 14000000
alim: 14000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 14000000/14000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 17900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4263310 hash collisions in 30985379 relations
Msieve: matrix is 1927057 x 1927282 (540.7 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,198,5,0,0,0,0,0,0,0,0,14000000,14000000,28,28,56,56,2.5,2.5,100000
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.. 5660.32 BogoMIPS (lpj=2830164)
Calibrating delay using timer specific routine.. 5660.90 BogoMIPS (lpj=2830451)
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 (22643.06 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosJune 21, 2010 17:06:16 UTC 2010 年 6 月 22 日 (火) 2 時 6 分 16 秒 (日本時間)
403e62144110Ignacio SantosJune 21, 2010 17:06:16 UTC 2010 年 6 月 22 日 (火) 2 時 6 分 16 秒 (日本時間)
2034Wataru SakaiJuly 2, 2010 08:30:20 UTC 2010 年 7 月 2 日 (金) 17 時 30 分 20 秒 (日本時間)
4511e632 / 3991Ignacio SantosJune 21, 2010 17:06:16 UTC 2010 年 6 月 22 日 (火) 2 時 6 分 16 秒 (日本時間)

11×10198+13

c175

name 名前Jo Yeong Uk
date 日付March 12, 2018 02:58:13 UTC 2018 年 3 月 12 日 (月) 11 時 58 分 13 秒 (日本時間)
composite number 合成数
5319077567805201675424360304343849310713502315955199599557558264992469573499568445534508343893361405468273357533776022137776979124404135141698489636683710985770246748431025501<175>
prime factors 素因数
437649408759866533905083260671209982788895944682169476770695666670464484372529471125923<87>
12153741011275355407784521756851812826252861932028458562707833510057960909073886113887487<89>
factorization results 素因数分解の結果
Number: 36667_198
N=5319077567805201675424360304343849310713502315955199599557558264992469573499568445534508343893361405468273357533776022137776979124404135141698489636683710985770246748431025501
  ( 175 digits)
SNFS difficulty: 199 digits.
Divisors found:
 r1=437649408759866533905083260671209982788895944682169476770695666670464484372529471125923
 r2=12153741011275355407784521756851812826252861932028458562707833510057960909073886113887487
Version: 
Total time: 241.60 hours.
Scaled time: 1256.55 units (timescale=5.201).
Factorization parameters were as follows:
n: 5319077567805201675424360304343849310713502315955199599557558264992469573499568445534508343893361405468273357533776022137776979124404135141698489636683710985770246748431025501
m: 1000000000000000000000000000000000
deg: 6
c6: 11
c0: 1
skew: 0.67
# Murphy_E = 1.791e-11
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 29
lpba: 29
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 55/55
Sieved rational special-q in [8000000, 17300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 34988673
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2930257 x 2930505
Total sieving time: 215.43 hours.
Total relation processing time: 9.22 hours.
Matrix solve time: 15.89 hours.
Time per square root: 1.06 hours.
Prototype def-par.txt line would be:
snfs,199,6,0,0,0,0,0,0,0,0,16000000,16000000,29,29,55,55,2.5,2.5,100000
total time: 241.60 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49367704k/51380224k available (5488k kernel code, 1086464k absent, 926056k reserved, 6940k data, 1328k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.37 BogoMIPS (lpj=3400188)
Total of 12 processors activated (81604.51 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)
351e60--
403e61800300Dmitry DomanovMay 12, 2011 14:05:37 UTC 2011 年 5 月 12 日 (木) 23 時 5 分 37 秒 (日本時間)
1500Dmitry DomanovAugust 21, 2013 13:25:41 UTC 2013 年 8 月 21 日 (水) 22 時 25 分 41 秒 (日本時間)
4511e61500 / 4081Dmitry DomanovSeptember 9, 2013 14:04:03 UTC 2013 年 9 月 9 日 (月) 23 時 4 分 3 秒 (日本時間)

11×10199+13

c139

name 名前Wataru Sakai
date 日付April 2, 2009 13:26:34 UTC 2009 年 4 月 2 日 (木) 22 時 26 分 34 秒 (日本時間)
composite number 合成数
1639892438898957498665658151123589880521078387643572130457614437986216982249190683988031551957301959221382050156147906385162699615184053253<139>
prime factors 素因数
719085495087018136230487973283012437<36>
2280524986393322347188566632802167131802841297889369062727060879857698833111173208966665751748661072369<103>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3773404872
Step 1 took 14486ms
Step 2 took 6765ms
********** Factor found in step 2: 719085495087018136230487973283012437
Found probable prime factor of 36 digits: 719085495087018136230487973283012437
Probable prime cofactor 2280524986393322347188566632802167131802841297889369062727060879857698833111173208966665751748661072369 has 103 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6500 / 2336Erik BrangerApril 2, 2009 08:04:16 UTC 2009 年 4 月 2 日 (木) 17 時 4 分 16 秒 (日本時間)

11×10200+13

c190

name 名前matsui
date 日付December 7, 2010 21:03:48 UTC 2010 年 12 月 8 日 (水) 6 時 3 分 48 秒 (日本時間)
composite number 合成数
3546209468730356892222565517553946259377174590179270495293532063541123018822133895983260589577916241088320973305877246380615739249749551492616645384130676724962226123219868467288687951761769<190>
prime factors 素因数
348801441099456278480897228411740921671301176157252789<54>
10166842939502651107338303903340806919859378938471485090174495719128405272636833891160351731171949300241478299901797518199525150655198821<137>
factorization results 素因数分解の結果
N=3546209468730356892222565517553946259377174590179270495293532063541123018822133895983260589577916241088320973305877246380615739249749551492616645384130676724962226123219868467288687951761769
  ( 190 digits)
SNFS difficulty: 201 digits.
Divisors found:
 r1=348801441099456278480897228411740921671301176157252789 (pp54)
 r2=10166842939502651107338303903340806919859378938471485090174495719128405272636833891160351731171949300241478299901797518199525150655198821 (pp137)
Version: Msieve v. 1.48
Total time:
Scaled time: 179.10 units (timescale=0.844).
Factorization parameters were as follows:
n: 3546209468730356892222565517553946259377174590179270495293532063541123018822133895983260589577916241088320973305877246380615739249749551492616645384130676724962226123219868467288687951761769
m: 10000000000000000000000000000000000000000
deg: 5
c5: 11
c0: 1
skew: 0.62
type: snfs
lss: 1
rlim: 15700000
alim: 15700000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 320000
Factor base limits: 15700000/15700000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [7850000, 14250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3135861 x 3136091
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,201.000,5,0,0,0,0,0,0,0,0,15700000,15700000,29,29,56,56,2.6,2.6,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)

11×10203+13

c128

name 名前Sinkiti Sibata
date 日付April 27, 2010 05:32:30 UTC 2010 年 4 月 27 日 (火) 14 時 32 分 30 秒 (日本時間)
composite number 合成数
27580011647336574869577184785587505110921633906962162202488222826851096172928377114627475914367161405878461479628430009414246777<128>
prime factors 素因数
2916322698105922700128361788924377756610913095599604092568090741<64>
9457119291102143751455185153645204935948077773579346089092858997<64>
factorization results 素因数分解の結果
Number: 36667_203
N=27580011647336574869577184785587505110921633906962162202488222826851096172928377114627475914367161405878461479628430009414246777
  ( 128 digits)
Divisors found:
 r1=2916322698105922700128361788924377756610913095599604092568090741 (pp64)
 r2=9457119291102143751455185153645204935948077773579346089092858997 (pp64)
Version: Msieve-1.40
Total time: 116.23 hours.
Scaled time: 321.14 units (timescale=2.763).
Factorization parameters were as follows:
name: 36667_203
# Murphy_E = 9.977712e-11, selected by Jeff Gilchrist
n: 27580011647336574869577184785587505110921633906962162202488222826851096172928377114627475914367161405878461479628430009414246777
Y0: -3700980006481067560693616
Y1: 96990421945249
c0: -115963587481401040300641978663
c1: -18163913456423462851416968
c2: -317375663726053378191
c3: 3191647377957354
c4: 5272096268
c5: 39720
skew: 107618.16
type: gnfs
# selected mechanically
rlim: 8300000
alim: 8300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8300000/8300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved algebraic special-q in [4150000, 8550001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1222432 x 1222680
Total sieving time: 112.47 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 3.31 hours.
Time per square root: 0.25 hours.
Prototype def-par.txt line would be:
gnfs,127,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,8300000,8300000,28,28,53,53,2.5,2.5,100000
total time: 116.23 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 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 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiMarch 1, 2009 04:38:53 UTC 2009 年 3 月 1 日 (日) 13 時 38 分 53 秒 (日本時間)

11×10204+13

c198

name 名前Robert Backstrom
date 日付May 7, 2010 09:08:15 UTC 2010 年 5 月 7 日 (金) 18 時 8 分 15 秒 (日本時間)
composite number 合成数
458195931828276328969183699371484309476029209074262188959419127522467533381760477910020066066021785050541302260318020466945807959171576756753401906936490753168726861365781269675089515864763387412533<198>
prime factors 素因数
1000748596002376787184561230623925843381106493<46>
457853184764486154110202642136405179527603945911879249353311987535797529962980898777508858976044230086695571051691723268556179849516743262494938958216281<153>
factorization results 素因数分解の結果
Number: n
N=458195931828276328969183699371484309476029209074262188959419127522467533381760477910020066066021785050541302260318020466945807959171576756753401906936490753168726861365781269675089515864763387412533
  ( 198 digits)
SNFS difficulty: 205 digits.
Divisors found:

Fri May  7 19:03:41 2010  prp46 factor: 1000748596002376787184561230623925843381106493
Fri May  7 19:03:41 2010  prp153 factor: 457853184764486154110202642136405179527603945911879249353311987535797529962980898777508858976044230086695571051691723268556179849516743262494938958216281
Fri May  7 19:03:41 2010  elapsed time 07:11:14 (Msieve 1.42 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.072).
Factorization parameters were as follows:
name: KA_3_6_203_7
n: 458195931828276328969183699371484309476029209074262188959419127522467533381760477910020066066021785050541302260318020466945807959171576756753401906936490753168726861365781269675089515864763387412533
m: 10000000000000000000000000000000000000000
deg: 5
c5: 110000
c0: 1
skew: 0.10
type: snfs
lss: 1
rlim: 18300000
alim: 18300000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 18300000/18300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 26850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5919418 hash collisions in 35365351 relations
Msieve: matrix is 2270744 x 2270969 (643.4 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,205,5,0,0,0,0,0,0,0,0,18300000,18300000,28,28,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6060216k/7077888k available (3972k kernel code, 787972k absent, 229700k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.79 BogoMIPS (lpj=2798398)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797551)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44762.55 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)
351e60--
403e62336500Erik BrangerDecember 19, 2009 10:16:49 UTC 2009 年 12 月 19 日 (土) 19 時 16 分 49 秒 (日本時間)
1836Wataru SakaiMarch 26, 2010 10:44:51 UTC 2010 年 3 月 26 日 (金) 19 時 44 分 51 秒 (日本時間)

11×10205+13

c179

name 名前Serge Batalov
date 日付December 1, 2008 00:31:05 UTC 2008 年 12 月 1 日 (月) 9 時 31 分 5 秒 (日本時間)
composite number 合成数
30226943974528732384089377921830211745383402587337193029305807623530890511118195184263040401117359408040818749580240983159823857526710237062205295823495129771662355722093690579041<179>
prime factors 素因数
4216628214594391516805899817350621<34>
composite cofactor 合成数の残り
7168510581489893362061172533665932426911604966642096584491850386790355732112303191835701796670060964330568232485809019473596273412036396814696021<145>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3119795829
Step 1 took 28545ms
Step 2 took 18593ms
********** Factor found in step 2: 4216628214594391516805899817350621
Found probable prime factor of 34 digits: 4216628214594391516805899817350621
Composite cofactor 7168510581489893362061172533665932426911604966642096584491850386790355732112303191835701796670060964330568232485809019473596273412036396814696021 has 145 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 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)
351e60--
403e61800300Dmitry DomanovMay 12, 2011 14:05:47 UTC 2011 年 5 月 12 日 (木) 23 時 5 分 47 秒 (日本時間)
1500Dmitry DomanovAugust 21, 2013 13:25:51 UTC 2013 年 8 月 21 日 (水) 22 時 25 分 51 秒 (日本時間)
4511e61500 / 4081Dmitry DomanovSeptember 9, 2013 14:03:46 UTC 2013 年 9 月 9 日 (月) 23 時 3 分 46 秒 (日本時間)

11×10206+13

c183

composite cofactor 合成数の残り
988457972960375971479863409354672199820592322956195466850187953521661454879133370387919049580909843542238233442482167845119110067471670268904687999503032508011441883776061667509192811<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 5, 2013 15:00:00 UTC 2013 年 6 月 6 日 (木) 0 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 21, 2013 13:26:00 UTC 2013 年 8 月 21 日 (水) 22 時 26 分 0 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovSeptember 9, 2013 14:03:31 UTC 2013 年 9 月 9 日 (月) 23 時 3 分 31 秒 (日本時間)

11×10207+13

c176

composite cofactor 合成数の残り
11665310938517664913831829298726505184948352390258823182658114649997614593077875051128665206401897433242576222391438943391207372371165575935385109315300523472479541199884859179<176>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 5, 2013 15:00:00 UTC 2013 年 6 月 6 日 (木) 0 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 21, 2013 13:26:09 UTC 2013 年 8 月 21 日 (水) 22 時 26 分 9 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovSeptember 9, 2013 14:03:15 UTC 2013 年 9 月 9 日 (月) 23 時 3 分 15 秒 (日本時間)

11×10208+13

c193

composite cofactor 合成数の残り
1168388752537347054961893971210394083549581050087950370939702606118832546416732787093053858169178120613401746088005384116457853551528629743426654736365354580434998667607383903904327525215102193<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 5, 2013 15:00:00 UTC 2013 年 6 月 6 日 (木) 0 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 21, 2013 13:26:18 UTC 2013 年 8 月 21 日 (水) 22 時 26 分 18 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovSeptember 6, 2013 13:15:35 UTC 2013 年 9 月 6 日 (金) 22 時 15 分 35 秒 (日本時間)

11×10209+13

c209

name 名前Robert Backstrom
date 日付December 5, 2013 12:03:44 UTC 2013 年 12 月 5 日 (木) 21 時 3 分 44 秒 (日本時間)
composite number 合成数
52380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952381<209>
prime factors 素因数
212793664794290072969770743059980291058136931529317974306047<60>
246158420325105127708265331137100779185436460171995852777854299343123510698074596257129774750823519794572717203600936894911549372197408093451060393923<150>
factorization results 素因数分解の結果
Number: n
N=52380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952381
  ( 209 digits)
SNFS difficulty: 210 digits.
Divisors found:

Thu Dec  5 21:45:12 2013  prp60 factor: 212793664794290072969770743059980291058136931529317974306047
Thu Dec  5 21:45:12 2013  prp150 factor: 246158420325105127708265331137100779185436460171995852777854299343123510698074596257129774750823519794572717203600936894911549372197408093451060393923
Thu Dec  5 21:45:12 2013  elapsed time 19:09:31 (Msieve 1.44 - dependency 3)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.816).
Factorization parameters were as follows:
#
#  11*10^209+1 - 36(208)7
#
#  c209, diff: 210.74
#
skew: 0.491
n: 52380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952381
m: 500000000000000000000000000000000000000000
deg: 5
c5: 176
c0: 5
# Murphy_E = 6.797e-12
type: snfs
lss: 1
rlim: 23000000
alim: 23000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 23000000/23000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 21500000)
Primes: RFBsize:1448221, AFBsize:1448222,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 6550555 hash collisions in 49890652 relations (45204774 unique)
Msieve: matrix is 3229047 x 3229272 (921.8 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 16hrs 46min 29sec.
Matrix solve time: 0.00 hours.
Total square root time: 1hrs 54min 13sec.

Prototype def-par.txt line would be:
snfs,210,5,0,0,0,0,0,0,0,0,23000000,23000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJune 5, 2013 15:00:00 UTC 2013 年 6 月 6 日 (木) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 6, 2013 20:28:57 UTC 2013 年 6 月 7 日 (金) 5 時 28 分 57 秒 (日本時間)
403e61610110Ignacio SantosJune 6, 2013 20:28:57 UTC 2013 年 6 月 7 日 (金) 5 時 28 分 57 秒 (日本時間)
1500Dmitry DomanovAugust 21, 2013 13:26:26 UTC 2013 年 8 月 21 日 (水) 22 時 26 分 26 秒 (日本時間)
4511e62382 / 410532Ignacio SantosJune 6, 2013 20:28:57 UTC 2013 年 6 月 7 日 (金) 5 時 28 分 57 秒 (日本時間)
1500Dmitry DomanovAugust 30, 2013 10:43:21 UTC 2013 年 8 月 30 日 (金) 19 時 43 分 21 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:14:00 UTC 2013 年 11 月 9 日 (土) 2 時 14 分 0 秒 (日本時間)

11×10210+13

c208

name 名前Robert Backstrom
date 日付January 11, 2014 20:00:17 UTC 2014 年 1 月 12 日 (日) 5 時 0 分 17 秒 (日本時間)
composite number 合成数
6354708261120739456961294049682264586943963027151935297515886770652801848642403235124205661467359907567879838243789716926632004621606008087810514153668399768919699595609474292316580011554015020219526285384171<208>
prime factors 素因数
6403793215906224134813319427193008745177074945728444706925257329372704856671884490123785359058771<97>
992335018772379506499935497875613069574136825088292909814569921745709346399190279863200515150707312851796027401<111>
factorization results 素因数分解の結果
Number: n
N=6354708261120739456961294049682264586943963027151935297515886770652801848642403235124205661467359907567879838243789716926632004621606008087810514153668399768919699595609474292316580011554015020219526285384171
  ( 208 digits)
SNFS difficulty: 211 digits.
Divisors found:

Sun Jan 12 06:21:27 2014  prp97 factor: 6403793215906224134813319427193008745177074945728444706925257329372704856671884490123785359058771
Sun Jan 12 06:21:27 2014  prp111 factor: 992335018772379506499935497875613069574136825088292909814569921745709346399190279863200515150707312851796027401
Sun Jan 12 06:21:27 2014  elapsed time 14:19:18 (Msieve 1.44 - dependency 2)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.763).
Factorization parameters were as follows:
#
#  11*10^210+1 - 36(209)7
#
#  c208, diff: 211.04
#
skew: 0.619
n: 6354708261120739456961294049682264586943963027151935297515886770652801848642403235124205661467359907567879838243789716926632004621606008087810514153668399768919699595609474292316580011554015020219526285384171
m: 1000000000000000000000000000000000000000000
deg: 5
c5: 11
c0: 1
# Murphy_E = 8.074e-12
type: snfs
lss: 1
rlim: 23000000
alim: 23000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 23000000/23000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 19500000)
Primes: RFBsize:1448221, AFBsize:1449267,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 7530133 hash collisions in 55301210 relations (49880168 unique)
Msieve: matrix is 2880356 x 2880582 (819.1 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 12hrs 44min 31sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 58min 20sec.

Prototype def-par.txt line would be:
snfs,211,5,0,0,0,0,0,0,0,0,23000000,23000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJune 5, 2013 15:00:00 UTC 2013 年 6 月 6 日 (木) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 6, 2013 21:02:54 UTC 2013 年 6 月 7 日 (金) 6 時 2 分 54 秒 (日本時間)
403e61610110Ignacio SantosJune 6, 2013 21:02:54 UTC 2013 年 6 月 7 日 (金) 6 時 2 分 54 秒 (日本時間)
1500Dmitry DomanovAugust 21, 2013 13:26:36 UTC 2013 年 8 月 21 日 (水) 22 時 26 分 36 秒 (日本時間)
4511e62782 / 410532Ignacio SantosJune 6, 2013 21:02:54 UTC 2013 年 6 月 7 日 (金) 6 時 2 分 54 秒 (日本時間)
1500Dmitry DomanovAugust 30, 2013 10:43:33 UTC 2013 年 8 月 30 日 (金) 19 時 43 分 33 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:14:03 UTC 2013 年 11 月 9 日 (土) 2 時 14 分 3 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:27:23 UTC 2014 年 1 月 6 日 (月) 11 時 27 分 23 秒 (日本時間)

11×10212+13

c191

composite cofactor 合成数の残り
24787026686331919388349307610585665411716565397812633075458888696889222038547059585916766244688334544860530242122391010080318308546589970529018151306981405809682269338955841370073111502924691<191>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 5, 2013 15:00:00 UTC 2013 年 6 月 6 日 (木) 0 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 21, 2013 13:26:45 UTC 2013 年 8 月 21 日 (水) 22 時 26 分 45 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovSeptember 6, 2013 13:15:17 UTC 2013 年 9 月 6 日 (金) 22 時 15 分 17 秒 (日本時間)

11×10213+13

c194

name 名前Dmitry Domanov
date 日付June 18, 2013 10:40:41 UTC 2013 年 6 月 18 日 (火) 19 時 40 分 41 秒 (日本時間)
composite number 合成数
13958948684405113817920486748349937296182197257046466398818960178654301693669370624376094225451576935050188679833618326984320619686893774604669025890109117319490073967530100218900949466161993239<194>
prime factors 素因数
123804457984317814892475929345779289<36>
composite cofactor 合成数の残り
112749968067977646556394118782978560443061382577906851260227834108400257973361286374837871904040714936368533904329722006515853452849904119870205254154086445551<159>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3592733824
Step 1 took 27778ms
Step 2 took 10074ms
********** Factor found in step 2: 123804457984317814892475929345779289
Found probable prime factor of 36 digits: 123804457984317814892475929345779289

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 5, 2013 15:00:00 UTC 2013 年 6 月 6 日 (木) 0 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 21, 2013 13:26:57 UTC 2013 年 8 月 21 日 (水) 22 時 26 分 57 秒 (日本時間)
4511e61000 / 4143Dmitry DomanovSeptember 13, 2013 12:42:07 UTC 2013 年 9 月 13 日 (金) 21 時 42 分 7 秒 (日本時間)

11×10214+13

c207

composite cofactor 合成数の残り
134238404289246023166832083160701219980950569745069469478635647378512935293790528885291088126754579080344920112657115694507322424883853058000456901154933657177870075141813935074211889592851759086470364942271<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 5, 2013 15:00:00 UTC 2013 年 6 月 6 日 (木) 0 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 21, 2013 13:27:07 UTC 2013 年 8 月 21 日 (水) 22 時 27 分 7 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovAugust 30, 2013 10:43:52 UTC 2013 年 8 月 30 日 (金) 19 時 43 分 52 秒 (日本時間)

11×10216+13

c200

composite cofactor 合成数の残り
21999268891941130907976275529406020554950369105648685691244361856837776352067967404859398947634968743744097484486871074211765772081763391616891293388671809524515816912771340693145229305235796334961179<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 5, 2013 15:00:00 UTC 2013 年 6 月 6 日 (木) 0 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 21, 2013 13:27:15 UTC 2013 年 8 月 21 日 (水) 22 時 27 分 15 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovAugust 30, 2013 10:44:04 UTC 2013 年 8 月 30 日 (金) 19 時 44 分 4 秒 (日本時間)

11×10217+13

c200

name 名前Dmitry Domanov
date 日付June 19, 2013 05:14:21 UTC 2013 年 6 月 19 日 (水) 14 時 14 分 21 秒 (日本時間)
composite number 合成数
80552772229016116781119368147860289811091458254203206523328888059963961688472848591173524843945882525295653415871506073975548582589084337304239284056051940682452143495987770314815111433058737220690119<200>
prime factors 素因数
4772234912163600349426192448984072789<37>
16879465012022155544514266730638002722343380436429644118096210196606164695964811595296354349512639119781484457198309108171247123016986238330826455720623838103308971<164>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2635488775
Step 1 took 26627ms
Step 2 took 9964ms
********** Factor found in step 2: 4772234912163600349426192448984072789
Found probable prime factor of 37 digits: 4772234912163600349426192448984072789

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 5, 2013 15:00:00 UTC 2013 年 6 月 6 日 (木) 0 時 0 分 0 秒 (日本時間)

11×10218+13

c218

composite cofactor 合成数の残り
11827956989247311827956989247311827956989247311827956989247311827956989247311827956989247311827956989247311827956989247311827956989247311827956989247311827956989247311827956989247311827956989247311827956989247311827957<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJune 5, 2013 15:00:00 UTC 2013 年 6 月 6 日 (木) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 29, 2013 15:51:25 UTC 2013 年 6 月 30 日 (日) 0 時 51 分 25 秒 (日本時間)
403e61610110Ignacio SantosJune 29, 2013 15:51:25 UTC 2013 年 6 月 30 日 (日) 0 時 51 分 25 秒 (日本時間)
1500Dmitry DomanovAugust 21, 2013 13:27:24 UTC 2013 年 8 月 21 日 (水) 22 時 27 分 24 秒 (日本時間)
4511e6458232Ignacio SantosJune 29, 2013 15:51:25 UTC 2013 年 6 月 30 日 (日) 0 時 51 分 25 秒 (日本時間)
1500Dmitry DomanovAugust 30, 2013 10:44:20 UTC 2013 年 8 月 30 日 (金) 19 時 44 分 20 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:14:52 UTC 2013 年 11 月 9 日 (土) 2 時 14 分 52 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:28:03 UTC 2014 年 1 月 6 日 (月) 11 時 28 分 3 秒 (日本時間)
1800Serge BatalovMay 24, 2014 09:17:27 UTC 2014 年 5 月 24 日 (土) 18 時 17 分 27 秒 (日本時間)

11×10219+13

c202

composite cofactor 合成数の残り
1126507427157820648500389870235240175210140825113090433373003501699176404420919793715479666267993222237353818970322584188304163676709187225721904135573829470719990816071594709845276785976717095191405533<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 5, 2013 15:00:00 UTC 2013 年 6 月 6 日 (木) 0 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 21, 2013 13:27:33 UTC 2013 年 8 月 21 日 (水) 22 時 27 分 33 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovAugust 30, 2013 10:44:32 UTC 2013 年 8 月 30 日 (金) 19 時 44 分 32 秒 (日本時間)

11×10220+13

c193

composite cofactor 合成数の残り
1878371268591480885191688391589760542980776675450568832336926173116728908053173738679335472015382276872391187771148706209160086269860707727408079956394068524024272297892557710417252573143454521<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 5, 2013 15:00:00 UTC 2013 年 6 月 6 日 (木) 0 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 21, 2013 13:27:44 UTC 2013 年 8 月 21 日 (水) 22 時 27 分 44 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovAugust 30, 2013 10:44:44 UTC 2013 年 8 月 30 日 (金) 19 時 44 分 44 秒 (日本時間)

11×10221+13

c188

composite cofactor 合成数の残り
35877961282646125732370970059834612280055219357891577861930061957232833474359805920697899955682289546774489775936757793881488816003076219512508530534508983849650727652536747980681620084273<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 5, 2013 15:00:00 UTC 2013 年 6 月 6 日 (木) 0 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 21, 2013 13:27:52 UTC 2013 年 8 月 21 日 (水) 22 時 27 分 52 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovSeptember 9, 2013 07:45:16 UTC 2013 年 9 月 9 日 (月) 16 時 45 分 16 秒 (日本時間)

11×10222+13

c213

name 名前Bob Backstrom
date 日付June 30, 2018 04:21:34 UTC 2018 年 6 月 30 日 (土) 13 時 21 分 34 秒 (日本時間)
composite number 合成数
224339514316073443040734679666494362967824723377735117625907982549773476031669252110533772507651474343587378407737741878777532460839725877647505448615821075960838896198742810053909179107972579578887190486282628149<213>
prime factors 素因数
24338448429800982142063769869135237327772900858511833270108008913173793662408037269<83>
9217494490790261482984384301471486716871656987150109937550061824523803505053158824353452980159158386880703088939009741653905919521<130>
factorization results 素因数分解の結果
Number: n
N=224339514316073443040734679666494362967824723377735117625907982549773476031669252110533772507651474343587378407737741878777532460839725877647505448615821075960838896198742810053909179107972579578887190486282628149
  ( 213 digits)
SNFS difficulty: 223 digits.
Divisors found:

Sat Jun 30 14:15:28 2018  p83 factor: 24338448429800982142063769869135237327772900858511833270108008913173793662408037269
Sat Jun 30 14:15:28 2018  p130 factor: 9217494490790261482984384301471486716871656987150109937550061824523803505053158824353452980159158386880703088939009741653905919521
Sat Jun 30 14:15:28 2018  elapsed time 10:01:19 (Msieve 1.53 - dependency 5)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.124).
Factorization parameters were as follows:
#
# 11x10^222+1 = 36(221)7
#
n: 224339514316073443040734679666494362967824723377735117625907982549773476031669252110533772507651474343587378407737741878777532460839725877647505448615821075960838896198742810053909179107972579578887190486282628149
m: 10000000000000000000000000000000000000
deg: 6
c6: 11
c0: 1
skew: 0.67
# Murphy_E = 2.305e-12
type: snfs
lss: 1
rlim: 37000000
alim: 37000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 37000000/37000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 88900000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 14079599 hash collisions in 73223161 relations (59987185 unique)
Msieve: matrix is 4795115 x 4795340 (1363.7 MB)

Sieving start time: 2018/06/27 22:08:31
Sieving end time  : 2018/06/30 04:12:04

Total sieving time: 54hrs 3min 33secs.
Total relation processing time: 9hrs 2min 41sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 37min 49sec.

Prototype def-par.txt line would be:
snfs,223,6,0,0,0,0,0,0,0,0,37000000,37000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.036000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16286688K/16703460K available (12300K kernel code, 2470K rwdata, 4240K rodata, 2408K init, 2416K bss, 416772K reserved, 0K cma-reserved)
[    0.068627] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5989.28 BogoMIPS (lpj=11978572)
[    0.066213] smpboot: Total of 16 processors activated (95828.57 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 5, 2013 15:00:00 UTC 2013 年 6 月 6 日 (木) 0 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 21, 2013 13:28:01 UTC 2013 年 8 月 21 日 (水) 22 時 28 分 1 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovAugust 30, 2013 10:45:00 UTC 2013 年 8 月 30 日 (金) 19 時 45 分 0 秒 (日本時間)

11×10224+13

c146

composite cofactor 合成数の残り
13528376906043207719162868967040199737904200749478017186362864400968575258166964793596704810576147938550694570585300434172041569891832664546387673<146>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJune 5, 2013 15:00:00 UTC 2013 年 6 月 6 日 (木) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 6, 2013 19:16:28 UTC 2013 年 6 月 7 日 (金) 4 時 16 分 28 秒 (日本時間)
403e61610110Ignacio SantosJune 6, 2013 19:16:28 UTC 2013 年 6 月 7 日 (金) 4 時 16 分 28 秒 (日本時間)
1500Dmitry DomanovAugust 21, 2013 13:28:11 UTC 2013 年 8 月 21 日 (水) 22 時 28 分 11 秒 (日本時間)
4511e6408232Ignacio SantosJune 6, 2013 19:16:28 UTC 2013 年 6 月 7 日 (金) 4 時 16 分 28 秒 (日本時間)
1000Dmitry DomanovSeptember 13, 2013 12:42:31 UTC 2013 年 9 月 13 日 (金) 21 時 42 分 31 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:10:15 UTC 2013 年 11 月 9 日 (土) 2 時 10 分 15 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:24:24 UTC 2014 年 1 月 6 日 (月) 11 時 24 分 24 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:36:03 UTC 2014 年 5 月 25 日 (日) 2 時 36 分 3 秒 (日本時間)
5043e67 / 6574KTakahashiMay 25, 2014 07:02:43 UTC 2014 年 5 月 25 日 (日) 16 時 2 分 43 秒 (日本時間)

11×10226+13

c199

composite cofactor 合成数の残り
2203104604459647163904246239672517832652025429488677851327133377976250575574223401111640044958238646388757856251906617534590821686701768028869580167053675141969626278849278782799781680962693866276603<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 5, 2013 15:00:00 UTC 2013 年 6 月 6 日 (木) 0 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 21, 2013 13:28:22 UTC 2013 年 8 月 21 日 (水) 22 時 28 分 22 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovAugust 30, 2013 10:45:15 UTC 2013 年 8 月 30 日 (金) 19 時 45 分 15 秒 (日本時間)

11×10228+13

c212

name 名前Dmitry Domanov
date 日付June 19, 2013 05:14:54 UTC 2013 年 6 月 19 日 (水) 14 時 14 分 54 秒 (日本時間)
composite number 合成数
69473508911063476168593415455149132282910210224266591128061039372569333253988803827211248108552512938453169401225439947046857920421934139687558280904676234125714908400376898923772648096738667419724246896262962069<212>
prime factors 素因数
291907424143575409322859523215103787119<39>
composite cofactor 合成数の残り
237998430889146396069343985084135585869899252225362477078377549432109614675544811295035192322571460509564594770999706593218804472245934725752707699851582818362115226513301051<174>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3631288211
Step 1 took 27684ms
Step 2 took 10621ms
********** Factor found in step 2: 291907424143575409322859523215103787119
Found probable prime factor of 39 digits: 291907424143575409322859523215103787119

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 5, 2013 15:00:00 UTC 2013 年 6 月 6 日 (木) 0 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 21, 2013 13:28:30 UTC 2013 年 8 月 21 日 (水) 22 時 28 分 30 秒 (日本時間)
4511e61000 / 4143Dmitry DomanovSeptember 13, 2013 12:42:47 UTC 2013 年 9 月 13 日 (金) 21 時 42 分 47 秒 (日本時間)

11×10229+13

c177

name 名前Dmitry Domanov
date 日付June 18, 2013 08:41:16 UTC 2013 年 6 月 18 日 (火) 17 時 41 分 16 秒 (日本時間)
composite number 合成数
509531667193392398545103299681445281908088841923464888629442753217497424438936397593125853559180624201925552415608545646857591528297091508390926922624590043351046363872002252011<177>
prime factors 素因数
751046765554490421699423583561123<33>
composite cofactor 合成数の残り
678428681890681191643978907054295540413580701614409154127410759798482010049762018157771211437969832394702654438345040634589224752030889363116057<144>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2662571621
Step 1 took 22747ms
Step 2 took 8916ms
********** Factor found in step 2: 751046765554490421699423583561123
Found probable prime factor of 33 digits: 751046765554490421699423583561123

c144

name 名前Dmitry Domanov
date 日付June 20, 2013 05:09:39 UTC 2013 年 6 月 20 日 (木) 14 時 9 分 39 秒 (日本時間)
composite number 合成数
678428681890681191643978907054295540413580701614409154127410759798482010049762018157771211437969832394702654438345040634589224752030889363116057<144>
prime factors 素因数
607651219977221233615935516520933<33>
90816295758849044312679093637265931273974329064328137<53>
12293797133280004461010616402471643281557894082862954613117<59>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=127017610
Step 1 took 16522ms
Step 2 took 121ms
********** Factor found in step 2: 607651219977221233615935516520933
Found probable prime factor of 33 digits: 607651219977221233615935516520933
Composite cofactor 1116477116455247408295941451886755005196806857796457185814516315507831804977466493456383990007082170070372373029 has 112 digits

N=1116477116455247408295941451886755005196806857796457185814516315507831804977466493456383990007082170070372373029
  ( 112 digits)
Divisors found:
 r1=90816295758849044312679093637265931273974329064328137 (pp53)
 r2=12293797133280004461010616402471643281557894082862954613117 (pp59)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 31.13 hours.
Scaled time: 22.63 units (timescale=0.727).
Factorization parameters were as follows:
n: 1116477116455247408295941451886755005196806857796457185814516315507831804977466493456383990007082170070372373029
skew: 58059.47
c0: 1021298994161955869760159760
c1: -21911515898871717134336
c2: -2909645949151453585
c3: 12306372210664
c4: 485417764
c5: 3408
Y0: -3184709529980654729577
Y1: 56767088063
rlim: 3720000
alim: 3720000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 200000
Factor base limits: 3720000/3720000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1860000, 2860001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 299860 x 300085
Total sieving time: 30.38 hours.
Total relation processing time: 0.31 hours.
Matrix solve time: 0.26 hours.
Time per square root: 0.18 hours.
Prototype def-par.txt line would be:
gnfs,111,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3720000,3720000,26,26,52,52,2.5,2.5,100000
total time: 31.13 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 5, 2013 15:00:00 UTC 2013 年 6 月 6 日 (木) 0 時 0 分 0 秒 (日本時間)

11×10230+13

c231

name 名前matsui
date 日付November 6, 2015 22:35:06 UTC 2015 年 11 月 7 日 (土) 7 時 35 分 6 秒 (日本時間)
composite number 合成数
366666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667<231>
prime factors 素因数
144844339535235931757531506855152399490300702753789347282794353626793159<72>
10314200141472213181512454989259281849797296504851248507070517646478345714727751<80>
245433786840536071849255736920964126566196650954451656835519779980244103799115163<81>
factorization results 素因数分解の結果
N=366666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667
  ( 231 digits)
SNFS difficulty: 231 digits.
Divisors found:
p72 factor: 144844339535235931757531506855152399490300702753789347282794353626793159
p80 factor: 10314200141472213181512454989259281849797296504851248507070517646478345714727751
p81 factor: 245433786840536071849255736920964126566196650954451656835519779980244103799115163
Version: Msieve v. 1.53 (SVN unknown)
Total time:
Scaled time: 206.41 units (timescale=1.930).
Factorization parameters were as follows:
n: 366666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667
m: 100000000000000000000000000000000000000
deg: 6
c6: 1100
c0: 1
skew: 0.31
# Murphy_E = 1.06e-12
type: snfs
lss: 1
rlim: 50000000
alim: 50000000
lpbr: 30
lpba: 30
mfbr: 59
mfba: 59
rlambda: 2.7
alambda: 2.7
qintsize: 3200000
Factor base limits: 50000000/50000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 59/59
Sieved rational special-q in [25000000, 57000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 6802824 x 6803050
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,231.000,6,0,0,0,0,0,0,0,0,50000000,50000000,30,30,59,59,2.7,2.7,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJune 5, 2013 15:00:00 UTC 2013 年 6 月 6 日 (木) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosJuly 27, 2013 06:35:20 UTC 2013 年 7 月 27 日 (土) 15 時 35 分 20 秒 (日本時間)
403e61610110Ignacio SantosJuly 27, 2013 06:35:20 UTC 2013 年 7 月 27 日 (土) 15 時 35 分 20 秒 (日本時間)
1500Dmitry DomanovAugust 21, 2013 13:28:39 UTC 2013 年 8 月 21 日 (水) 22 時 28 分 39 秒 (日本時間)
4511e6358232Ignacio SantosJuly 27, 2013 06:35:20 UTC 2013 年 7 月 27 日 (土) 15 時 35 分 20 秒 (日本時間)
1500Dmitry DomanovSeptember 9, 2013 05:19:19 UTC 2013 年 9 月 9 日 (月) 14 時 19 分 19 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:15:53 UTC 2013 年 11 月 9 日 (土) 2 時 15 分 53 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:28:47 UTC 2014 年 1 月 6 日 (月) 11 時 28 分 47 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:24:47 UTC 2014 年 2 月 24 日 (月) 4 時 24 分 47 秒 (日本時間)
5043e6760 / 6686Serge BatalovFebruary 24, 2014 02:26:28 UTC 2014 年 2 月 24 日 (月) 11 時 26 分 28 秒 (日本時間)

11×10232+13

c218

name 名前Dmitry Domanov
date 日付June 18, 2013 10:02:49 UTC 2013 年 6 月 18 日 (火) 19 時 2 分 49 秒 (日本時間)
composite number 合成数
39577363406539687012971061840416180568780221928267880431612752523801804006515744770438947649626018352987759239699092208563581089644318366278840459021134235487532036700097258068436809995106376200666751695342542138138523<218>
prime factors 素因数
3297622354945165234839739191693173<34>
composite cofactor 合成数の残り
12001787696274215190659564170527120530325007740274115112410275892733140162134757022111924347797619139463794636971869536321913480675268426418010458094386699987806689420708269179135647951<185>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1934829178
Step 1 took 30410ms
Step 2 took 11045ms
********** Factor found in step 2: 3297622354945165234839739191693173
Found probable prime factor of 34 digits: 3297622354945165234839739191693173

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 5, 2013 15:00:00 UTC 2013 年 6 月 6 日 (木) 0 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 21, 2013 13:28:48 UTC 2013 年 8 月 21 日 (水) 22 時 28 分 48 秒 (日本時間)
4511e61000 / 4143Dmitry DomanovSeptember 13, 2013 12:43:04 UTC 2013 年 9 月 13 日 (金) 21 時 43 分 4 秒 (日本時間)

11×10235+13

c231

composite cofactor 合成数の残り
357629372425474915550700465893536987005049076503425114035002162032115117643807647416452901837239621433053407070007575240343194150483937564413926737997470584984118004688195954886680256582818834713457593284370621072172858531573796821<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 5, 2013 15:00:00 UTC 2013 年 6 月 6 日 (木) 0 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 21, 2013 13:28:57 UTC 2013 年 8 月 21 日 (水) 22 時 28 分 57 秒 (日本時間)
4511e644501500Dmitry DomanovSeptember 9, 2013 05:18:59 UTC 2013 年 9 月 9 日 (月) 14 時 18 分 59 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:16:42 UTC 2013 年 11 月 9 日 (土) 2 時 16 分 42 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:29:23 UTC 2014 年 1 月 6 日 (月) 11 時 29 分 23 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:24:48 UTC 2014 年 2 月 24 日 (月) 4 時 24 分 48 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:04:11 UTC 2014 年 5 月 25 日 (日) 4 時 4 分 11 秒 (日本時間)

11×10236+13

c224

composite cofactor 合成数の残り
17303609358437512601742762924115471980628405508859582227250544506936219580294372365419162382054643663951307440072155331983579703293493663534093864295251579146930580533011066533897376619384605379330885559126575227192282726891<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 5, 2013 15:00:00 UTC 2013 年 6 月 6 日 (木) 0 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 21, 2013 13:29:05 UTC 2013 年 8 月 21 日 (水) 22 時 29 分 5 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovSeptember 9, 2013 05:18:44 UTC 2013 年 9 月 9 日 (月) 14 時 18 分 44 秒 (日本時間)

11×10237+13

c205

name 名前Dmitry Domanov
date 日付June 18, 2013 09:30:28 UTC 2013 年 6 月 18 日 (火) 18 時 30 分 28 秒 (日本時間)
composite number 合成数
7115567110590625299840654212360600301272262258176519220490290082526717899158071741429850898982976955547800194621569939906481876717698988549349822547822151237911818669532281074992753067349653027634005431503<205>
prime factors 素因数
11328924213374957040894524236143121121<38>
composite cofactor 合成数の残り
628088508367808523473190358073263603656310285750423844224074016861587385949934329915680627724144919968880938420851297729258587892426647699159421292104859041035438247343<168>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2486242240
Step 1 took 26670ms
Step 2 took 10298ms
********** Factor found in step 2: 11328924213374957040894524236143121121
Found probable prime factor of 38 digits: 11328924213374957040894524236143121121

c168

name 名前Dmitry Domanov
date 日付June 19, 2013 05:18:48 UTC 2013 年 6 月 19 日 (水) 14 時 18 分 48 秒 (日本時間)
composite number 合成数
628088508367808523473190358073263603656310285750423844224074016861587385949934329915680627724144919968880938420851297729258587892426647699159421292104859041035438247343<168>
prime factors 素因数
398414413409347853546088669314309987<36>
1576470346524546467510221965921100489805182023379694551137297309902368794475563838673452965131271151702472249659413338824859010795589<133>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=369996907
Step 1 took 19421ms
Step 2 took 8262ms
********** Factor found in step 2: 398414413409347853546088669314309987
Found probable prime factor of 36 digits: 398414413409347853546088669314309987

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 5, 2013 15:00:00 UTC 2013 年 6 月 6 日 (木) 0 時 0 分 0 秒 (日本時間)

11×10238+13

c177

composite cofactor 合成数の残り
525934546007917832425105941024888721468024543101074875312659893544935963914026131170229298650866170694581234137728158045558167825682636102487931852554020260336056964612170910059<177>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 5, 2013 15:00:00 UTC 2013 年 6 月 6 日 (木) 0 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 21, 2013 13:29:14 UTC 2013 年 8 月 21 日 (水) 22 時 29 分 14 秒 (日本時間)
4511e61000 / 4143Dmitry DomanovSeptember 13, 2013 12:43:20 UTC 2013 年 9 月 13 日 (金) 21 時 43 分 20 秒 (日本時間)

11×10239+13

c160

name 名前Ignacio Santos
date 日付June 6, 2013 19:45:22 UTC 2013 年 6 月 7 日 (金) 4 時 45 分 22 秒 (日本時間)
composite number 合成数
3846939334264448722710639633596494530540664514211084722101802678823255091200464562539470056547208679191311033946965646393499835652175518506381913216797757512889<160>
prime factors 素因数
21255002380036803457485608034803<32>
composite cofactor 合成数の残り
180989833145235699149385447379799559745117445271164205415485089372958478273473380992686374781045823055503247881074799599701280163<129>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:1090886244
Step 1 took 3453ms
Step 2 took 2594ms
********** Factor found in step 2: 21255002380036803457485608034803
Found probable prime factor of 32 digits: 21255002380036803457485608034803
Composite cofactor 180989833145235699149385447379799559745117445271164205415485089372958478273473380992686374781045823055503247881074799599701280163 has 129 digits
software ソフトウェア
GMP-ECM 7.0

c129

name 名前Ignacio Santos
date 日付June 9, 2013 15:36:21 UTC 2013 年 6 月 10 日 (月) 0 時 36 分 21 秒 (日本時間)
composite number 合成数
180989833145235699149385447379799559745117445271164205415485089372958478273473380992686374781045823055503247881074799599701280163<129>
prime factors 素因数
36951580049349779429109960762088847501<38>
composite cofactor 合成数の残り
4898026901786585361393765110804054115502780002744301507904017778405464338994587982062887663<91>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3695890107
Step 1 took 22391ms
Step 2 took 16015ms
********** Factor found in step 2: 36951580049349779429109960762088847501
Found probable prime factor of 38 digits: 36951580049349779429109960762088847501
Composite cofactor 4898026901786585361393765110804054115502780002744301507904017778405464338994587982062887663 has 91 digits
software ソフトウェア
GMP-ECM 7.0

c91

name 名前Dmitry Domanov
date 日付June 10, 2013 16:14:54 UTC 2013 年 6 月 11 日 (火) 1 時 14 分 54 秒 (日本時間)
composite number 合成数
4898026901786585361393765110804054115502780002744301507904017778405464338994587982062887663<91>
prime factors 素因数
216032175060113053739216572051064493497770609<45>
22672673181315059851772906327080379048408992607<47>
factorization results 素因数分解の結果
N=4898026901786585361393765110804054115502780002744301507904017778405464338994587982062887663
  ( 91 digits)
Divisors found:
 r1=216032175060113053739216572051064493497770609 (pp45)
 r2=22672673181315059851772906327080379048408992607 (pp47)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 3.59 hours.
Scaled time: 3.37 units (timescale=0.940).
Factorization parameters were as follows:
name: sm
n:  4898026901786585361393765110804054115502780002744301507904017778405464338994587982062887663
m:  709277523738753888001
deg: 4
c4: 19353360
c3: 121904912
c2: 656048225355426
c1: 14284039613033899893
c0: -78239353848180473928
skew: 1635.250
type: gnfs
# adj. I(F,S) = 51.763
# E(F1,F2) = 1.421119e-04
# GGNFS version 0.77.1-20060513-nocona polyselect.
# Options were: 
# lcd=1, enumLCD=24, maxS1=58.00000000, seed=1370875830.
# maxskew=2000.0
# These parameters should be manually set:
rlim: 700000
alim: 700000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.4
alambda: 2.4
qintsize: 40000

type: gnfs
Factor base limits: 700000/700000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [350000, 1430001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 137302 x 137550
Polynomial selection time: 0.17 hours.
Total sieving time: 3.24 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,90,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,700000,700000,25,25,44,44,2.4,2.4,40000
total time: 3.59 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJune 5, 2013 15:00:00 UTC 2013 年 6 月 6 日 (木) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 7, 2013 19:32:10 UTC 2013 年 6 月 8 日 (土) 4 時 32 分 10 秒 (日本時間)
403e6110 / 2126Ignacio SantosJune 7, 2013 19:32:10 UTC 2013 年 6 月 8 日 (土) 4 時 32 分 10 秒 (日本時間)
4511e632 / 4437Ignacio SantosJune 7, 2013 19:32:10 UTC 2013 年 6 月 8 日 (土) 4 時 32 分 10 秒 (日本時間)

11×10241+13

c215

name 名前Dmitry Domanov
date 日付September 9, 2013 06:40:17 UTC 2013 年 9 月 9 日 (月) 15 時 40 分 17 秒 (日本時間)
composite number 合成数
62811904407917687686665037520854932219992741771075126829027719222161686173195828949025744125827821484033911902121276141723481137329467035400015659889750273302845745444274442164942172531630769156477999407839032748167<215>
prime factors 素因数
233669250143347342294617630863104429281382873<45>
268806889949725667463263139605030896773454225299899341189502611745786640153031429462402936299138894097909983236540168146789667280607752352376849716009639574396363931824479<171>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2724947374
Step 1 took 133221ms
Step 2 took 42003ms
********** Factor found in step 2: 233669250143347342294617630863104429281382873
Found probable prime factor of 45 digits: 233669250143347342294617630863104429281382873

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 5, 2013 15:00:00 UTC 2013 年 6 月 6 日 (木) 0 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 21, 2013 13:29:25 UTC 2013 年 8 月 21 日 (水) 22 時 29 分 25 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovSeptember 6, 2013 13:14:30 UTC 2013 年 9 月 6 日 (金) 22 時 14 分 30 秒 (日本時間)

11×10242+13

c217

composite cofactor 合成数の残り
1763561382013585229665669221371892104108094413842319177746844838718038603722797018171951282235468397061470816420056275679632184927971475973172956408720200660248603194877125529400528792798338502795376865931016959992513<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 5, 2013 15:00:00 UTC 2013 年 6 月 6 日 (木) 0 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 21, 2013 13:29:34 UTC 2013 年 8 月 21 日 (水) 22 時 29 分 34 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovSeptember 6, 2013 13:14:42 UTC 2013 年 9 月 6 日 (金) 22 時 14 分 42 秒 (日本時間)

11×10243+13

c230

name 名前Dmitry Domanov
date 日付June 18, 2013 07:36:43 UTC 2013 年 6 月 18 日 (火) 16 時 36 分 43 秒 (日本時間)
composite number 合成数
17620747450127288434615768320560347359795696739515290447652766616216773322914940737016342688761714976548063377625723771821704573922186023332040083041776414654013825462219864783048696031593799106550086567751046626607196403450651111<230>
prime factors 素因数
4679590378219761077221584223<28>
composite cofactor 合成数の残り
3765446551078405060420542424829163260194756801425698079437323361443350028582817614726241116195053800578937919359663115860566236123871395049248315657751051547426007682331700886406059708175989414894964857<202>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1582678818
Step 1 took 30421ms
Step 2 took 11432ms
********** Factor found in step 2: 4679590378219761077221584223
Found probable prime factor of 28 digits: 4679590378219761077221584223

c202

name 名前Dmitry Domanov
date 日付June 19, 2013 10:09:17 UTC 2013 年 6 月 19 日 (水) 19 時 9 分 17 秒 (日本時間)
composite number 合成数
3765446551078405060420542424829163260194756801425698079437323361443350028582817614726241116195053800578937919359663115860566236123871395049248315657751051547426007682331700886406059708175989414894964857<202>
prime factors 素因数
16847414628137495440401238511129703199<38>
composite cofactor 合成数の残り
223502931113809732876723349686515834443867138015051586982992759429931353056945453842765914002069718959032098230677947349482073065617979782157900680336303258192912743<165>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3992657363
Step 1 took 26668ms
Step 2 took 10312ms
********** Factor found in step 2: 16847414628137495440401238511129703199
Found probable prime factor of 38 digits: 16847414628137495440401238511129703199

c165

name 名前Dmitry Domanov
date 日付March 17, 2014 05:44:48 UTC 2014 年 3 月 17 日 (月) 14 時 44 分 48 秒 (日本時間)
composite number 合成数
223502931113809732876723349686515834443867138015051586982992759429931353056945453842765914002069718959032098230677947349482073065617979782157900680336303258192912743<165>
prime factors 素因数
15214728530615469650927029593890628199678811<44>
composite cofactor 合成数の残り
14689905946338205325296045760574757373191483830615747594965978674854377386266839797501676305524691961949162951641001866213<122>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=4245699018
Step 1 took 334008ms
Step 2 took 89091ms
********** Factor found in step 2: 15214728530615469650927029593890628199678811
Found probable prime factor of 44 digits: 15214728530615469650927029593890628199678811

c122

name 名前Cyp
date 日付March 17, 2014 23:56:36 UTC 2014 年 3 月 18 日 (火) 8 時 56 分 36 秒 (日本時間)
composite number 合成数
14689905946338205325296045760574757373191483830615747594965978674854377386266839797501676305524691961949162951641001866213<122>
prime factors 素因数
292854080464011327631627191674727206565889420367673167<54>
50161178983959691015338537217257616822780648764188830644202869888139<68>
factorization results 素因数分解の結果
03/17/14 18:58:21 v1.34.3, 
03/17/14 18:58:21 v1.34.3, ****************************
03/17/14 18:58:21 v1.34.3, Starting factorization of 14689905946338205325296045760574757373191483830615747594965978674854377386266839797501676305524691961949162951641001866213
03/17/14 18:58:21 v1.34.3, using pretesting plan: none
03/17/14 18:58:21 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
03/17/14 18:58:21 v1.34.3, ****************************
03/17/14 18:58:21 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C122
03/17/14 18:58:21 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C122
03/17/14 18:58:21 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C122
03/17/14 18:58:21 v1.34.3, final ECM pretested depth: 0.00
03/17/14 18:58:21 v1.34.3, scheduler: switching to sieve method
03/17/14 18:58:21 v1.34.3, nfs: commencing nfs on c122: 14689905946338205325296045760574757373191483830615747594965978674854377386266839797501676305524691961949162951641001866213
03/17/14 18:58:21 v1.34.3, nfs: commencing poly selection with 8 threads
03/17/14 18:58:21 v1.34.3, nfs: setting deadline of 2223 seconds
03/17/14 19:38:15 v1.34.3, nfs: completed 157 ranges of size 250 in 2394.1057 seconds
03/17/14 19:38:15 v1.34.3, nfs: best poly = # norm 1.571939e-11 alpha -6.129144 e 2.589e-10 rroots 5
03/17/14 19:38:15 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/17/14 19:44:31 v1.34.3, nfs: commencing lattice sieving with 8 threads
[40 lines snipped]
03/18/14 00:03:23 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/18/14 00:09:38 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/18/14 00:15:38 v1.34.3, nfs: commencing msieve filtering
03/18/14 00:17:22 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/18/14 00:23:19 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/18/14 00:29:29 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/18/14 00:35:28 v1.34.3, nfs: commencing msieve filtering
03/18/14 00:37:39 v1.34.3, nfs: commencing msieve linear algebra
03/18/14 00:54:43 v1.34.3, nfs: commencing msieve sqrt
03/18/14 00:56:34 v1.34.3, prp68 = 50161178983959691015338537217257616822780648764188830644202869888139
03/18/14 00:56:34 v1.34.3, prp54 = 292854080464011327631627191674727206565889420367673167
03/18/14 00:56:34 v1.34.3, NFS elapsed time = 21493.4872 seconds.
03/18/14 00:56:34 v1.34.3, 
03/18/14 00:56:34 v1.34.3, 
03/18/14 00:56:34 v1.34.3, Total factoring time = 21493.5141 seconds
--
Tue Mar 18 00:15:38 2014  
Tue Mar 18 00:15:38 2014  commencing relation filtering
Tue Mar 18 00:15:38 2014  estimated available RAM is 15988.7 MB
Tue Mar 18 00:15:38 2014  commencing duplicate removal, pass 1
Tue Mar 18 00:16:11 2014  found 1126514 hash collisions in 10165224 relations
Tue Mar 18 00:16:22 2014  added 62935 free relations
Tue Mar 18 00:16:22 2014  commencing duplicate removal, pass 2
Tue Mar 18 00:16:30 2014  found 582332 duplicates and 9645827 unique relations
Tue Mar 18 00:16:30 2014  memory use: 41.3 MB
Tue Mar 18 00:16:30 2014  reading ideals above 100000
Tue Mar 18 00:16:30 2014  commencing singleton removal, initial pass
Tue Mar 18 00:17:16 2014  memory use: 344.5 MB
Tue Mar 18 00:17:16 2014  reading all ideals from disk
Tue Mar 18 00:17:16 2014  memory use: 344.6 MB
Tue Mar 18 00:17:16 2014  keeping 10889820 ideals with weight <= 200, target excess is 49495
Tue Mar 18 00:17:17 2014  commencing in-memory singleton removal
Tue Mar 18 00:17:17 2014  begin with 9645827 relations and 10889820 unique ideals
Tue Mar 18 00:17:22 2014  reduce to 3135821 relations and 3155748 ideals in 23 passes
Tue Mar 18 00:17:22 2014  max relations containing the same ideal: 96
Tue Mar 18 00:35:28 2014  
Tue Mar 18 00:35:28 2014  commencing relation filtering
Tue Mar 18 00:35:28 2014  estimated available RAM is 15988.7 MB
Tue Mar 18 00:35:28 2014  commencing duplicate removal, pass 1
Tue Mar 18 00:36:04 2014  found 1267144 hash collisions in 10900630 relations
Tue Mar 18 00:36:14 2014  added 110 free relations
Tue Mar 18 00:36:14 2014  commencing duplicate removal, pass 2
Tue Mar 18 00:36:23 2014  found 653091 duplicates and 10247649 unique relations
Tue Mar 18 00:36:23 2014  memory use: 41.3 MB
Tue Mar 18 00:36:23 2014  reading ideals above 720000
Tue Mar 18 00:36:24 2014  commencing singleton removal, initial pass
Tue Mar 18 00:37:08 2014  memory use: 344.5 MB
Tue Mar 18 00:37:09 2014  reading all ideals from disk
Tue Mar 18 00:37:09 2014  memory use: 295.1 MB
Tue Mar 18 00:37:10 2014  commencing in-memory singleton removal
Tue Mar 18 00:37:10 2014  begin with 10247649 relations and 11080471 unique ideals
Tue Mar 18 00:37:14 2014  reduce to 3976285 relations and 3720372 ideals in 19 passes
Tue Mar 18 00:37:14 2014  max relations containing the same ideal: 76
Tue Mar 18 00:37:15 2014  removing 562443 relations and 502026 ideals in 60417 cliques
Tue Mar 18 00:37:15 2014  commencing in-memory singleton removal
Tue Mar 18 00:37:15 2014  begin with 3413842 relations and 3720372 unique ideals
Tue Mar 18 00:37:17 2014  reduce to 3344359 relations and 3147366 ideals in 10 passes
Tue Mar 18 00:37:17 2014  max relations containing the same ideal: 67
Tue Mar 18 00:37:18 2014  removing 417691 relations and 357274 ideals in 60417 cliques
Tue Mar 18 00:37:18 2014  commencing in-memory singleton removal
Tue Mar 18 00:37:18 2014  begin with 2926668 relations and 3147366 unique ideals
Tue Mar 18 00:37:19 2014  reduce to 2880844 relations and 2743380 ideals in 10 passes
Tue Mar 18 00:37:19 2014  max relations containing the same ideal: 60
Tue Mar 18 00:37:20 2014  relations with 0 large ideals: 471
Tue Mar 18 00:37:20 2014  relations with 1 large ideals: 3253
Tue Mar 18 00:37:20 2014  relations with 2 large ideals: 40718
Tue Mar 18 00:37:20 2014  relations with 3 large ideals: 214042
Tue Mar 18 00:37:20 2014  relations with 4 large ideals: 575665
Tue Mar 18 00:37:20 2014  relations with 5 large ideals: 854910
Tue Mar 18 00:37:20 2014  relations with 6 large ideals: 728019
Tue Mar 18 00:37:20 2014  relations with 7+ large ideals: 463766
Tue Mar 18 00:37:20 2014  commencing 2-way merge
Tue Mar 18 00:37:21 2014  reduce to 1635234 relation sets and 1497771 unique ideals
Tue Mar 18 00:37:21 2014  ignored 1 oversize relation sets
Tue Mar 18 00:37:21 2014  commencing full merge
Tue Mar 18 00:37:34 2014  memory use: 162.4 MB
Tue Mar 18 00:37:34 2014  found 806737 cycles, need 787971
Tue Mar 18 00:37:34 2014  weight of 787971 cycles is about 55474604 (70.40/cycle)
Tue Mar 18 00:37:34 2014  distribution of cycle lengths:
Tue Mar 18 00:37:34 2014  1 relations: 99396
Tue Mar 18 00:37:34 2014  2 relations: 91689
Tue Mar 18 00:37:34 2014  3 relations: 88540
Tue Mar 18 00:37:34 2014  4 relations: 79037
Tue Mar 18 00:37:34 2014  5 relations: 70806
Tue Mar 18 00:37:34 2014  6 relations: 59860
Tue Mar 18 00:37:34 2014  7 relations: 53227
Tue Mar 18 00:37:34 2014  8 relations: 46103
Tue Mar 18 00:37:34 2014  9 relations: 39208
Tue Mar 18 00:37:34 2014  10+ relations: 160105
Tue Mar 18 00:37:34 2014  heaviest cycle: 21 relations
Tue Mar 18 00:37:34 2014  commencing cycle optimization
Tue Mar 18 00:37:35 2014  start with 4715044 relations
Tue Mar 18 00:37:38 2014  pruned 97847 relations
Tue Mar 18 00:37:38 2014  memory use: 160.4 MB
Tue Mar 18 00:37:38 2014  distribution of cycle lengths:
Tue Mar 18 00:37:38 2014  1 relations: 99396
Tue Mar 18 00:37:38 2014  2 relations: 93624
Tue Mar 18 00:37:38 2014  3 relations: 91270
Tue Mar 18 00:37:38 2014  4 relations: 80661
Tue Mar 18 00:37:38 2014  5 relations: 71930
Tue Mar 18 00:37:38 2014  6 relations: 60598
Tue Mar 18 00:37:38 2014  7 relations: 53803
Tue Mar 18 00:37:38 2014  8 relations: 46018
Tue Mar 18 00:37:38 2014  9 relations: 38939
Tue Mar 18 00:37:38 2014  10+ relations: 151732
Tue Mar 18 00:37:38 2014  heaviest cycle: 21 relations
Tue Mar 18 00:37:39 2014  RelProcTime: 131
Tue Mar 18 00:37:39 2014  
Tue Mar 18 00:37:39 2014  commencing linear algebra
Tue Mar 18 00:37:39 2014  read 787971 cycles
Tue Mar 18 00:37:40 2014  cycles contain 2724330 unique relations
Tue Mar 18 00:37:55 2014  read 2724330 relations
Tue Mar 18 00:37:57 2014  using 20 quadratic characters above 134216912
Tue Mar 18 00:38:05 2014  building initial matrix
Tue Mar 18 00:38:22 2014  memory use: 347.9 MB
Tue Mar 18 00:38:22 2014  read 787971 cycles
Tue Mar 18 00:38:22 2014  matrix is 787782 x 787971 (237.2 MB) with weight 75180150 (95.41/col)
Tue Mar 18 00:38:22 2014  sparse part has weight 53521234 (67.92/col)
Tue Mar 18 00:38:26 2014  filtering completed in 2 passes
Tue Mar 18 00:38:26 2014  matrix is 784675 x 784863 (236.9 MB) with weight 75031883 (95.60/col)
Tue Mar 18 00:38:26 2014  sparse part has weight 53464098 (68.12/col)
Tue Mar 18 00:38:28 2014  matrix starts at (0, 0)
Tue Mar 18 00:38:28 2014  matrix is 784675 x 784863 (236.9 MB) with weight 75031883 (95.60/col)
Tue Mar 18 00:38:28 2014  sparse part has weight 53464098 (68.12/col)
Tue Mar 18 00:38:28 2014  saving the first 48 matrix rows for later
Tue Mar 18 00:38:28 2014  matrix includes 64 packed rows
Tue Mar 18 00:38:28 2014  matrix is 784627 x 784863 (228.8 MB) with weight 59400045 (75.68/col)
Tue Mar 18 00:38:28 2014  sparse part has weight 52136629 (66.43/col)
Tue Mar 18 00:38:28 2014  using block size 65536 for processor cache size 8192 kB
Tue Mar 18 00:38:30 2014  commencing Lanczos iteration (8 threads)
Tue Mar 18 00:38:30 2014  memory use: 219.3 MB
Tue Mar 18 00:38:34 2014  linear algebra at 0.4%, ETA 0h17m
Tue Mar 18 00:54:42 2014  lanczos halted after 12408 iterations (dim = 784627)
Tue Mar 18 00:54:43 2014  recovered 30 nontrivial dependencies
Tue Mar 18 00:54:43 2014  BLanczosTime: 1024
Tue Mar 18 00:54:43 2014  
Tue Mar 18 00:54:43 2014  commencing square root phase
Tue Mar 18 00:54:43 2014  reading relations for dependency 1
Tue Mar 18 00:54:43 2014  read 391846 cycles
Tue Mar 18 00:54:43 2014  cycles contain 1360206 unique relations
Tue Mar 18 00:54:54 2014  read 1360206 relations
Tue Mar 18 00:54:57 2014  multiplying 1360206 relations
Tue Mar 18 00:55:40 2014  multiply complete, coefficients have about 62.02 million bits
Tue Mar 18 00:55:40 2014  initial square root is modulo 802817003
Tue Mar 18 00:56:34 2014  sqrtTime: 111
--
n: 14689905946338205325296045760574757373191483830615747594965978674854377386266839797501676305524691961949162951641001866213
skew: 65409.60
c0: 3966904762841437939753063384
c1: 984656947807875317183176
c2: 28121900043896497904
c3: -944541449147605
c4: -4272286662
c5: 34920
Y0: -211246268743990129114425
Y1: 1802778303077
rlim: 6100000
alim: 6100000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJune 5, 2013 15:00:00 UTC 2013 年 6 月 6 日 (木) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 29, 2013 12:48:59 UTC 2013 年 6 月 29 日 (土) 21 時 48 分 59 秒 (日本時間)
403e61610110Ignacio SantosJune 29, 2013 12:48:59 UTC 2013 年 6 月 29 日 (土) 21 時 48 分 59 秒 (日本時間)
1500Dmitry DomanovAugust 21, 2013 13:29:43 UTC 2013 年 8 月 21 日 (水) 22 時 29 分 43 秒 (日本時間)
4511e6228232Ignacio SantosJune 29, 2013 12:48:59 UTC 2013 年 6 月 29 日 (土) 21 時 48 分 59 秒 (日本時間)
1000Dmitry DomanovSeptember 13, 2013 12:43:40 UTC 2013 年 9 月 13 日 (金) 21 時 43 分 40 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:13:18 UTC 2013 年 11 月 9 日 (土) 2 時 13 分 18 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:26:55 UTC 2014 年 1 月 6 日 (月) 11 時 26 分 55 秒 (日本時間)
5043e6520 / 6978400Dmitry DomanovMarch 14, 2014 10:51:24 UTC 2014 年 3 月 14 日 (金) 19 時 51 分 24 秒 (日本時間)
120Erik BrangerMarch 15, 2014 18:20:20 UTC 2014 年 3 月 16 日 (日) 3 時 20 分 20 秒 (日本時間)

11×10244+13

c206

name 名前Dmitry Domanov
date 日付June 19, 2013 05:17:22 UTC 2013 年 6 月 19 日 (水) 14 時 17 分 22 秒 (日本時間)
composite number 合成数
93703920490817268865108504389093420173608223577613954362257670547302422920519891378799679457592191056201424441124974459865152644384159984696426546149862903516089657171884587686399846097494065192752434399353<206>
prime factors 素因数
8927483532338876758893836244181519<34>
composite cofactor 合成数の残り
10496117987939669987216305205435307036512157806302707494726657040781154511728391262477975883862500073917331304238034172661661655054870175064803129067543940676739154665968887<173>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3763294430
Step 1 took 27145ms
Step 2 took 10317ms
********** Factor found in step 2: 8927483532338876758893836244181519
Found probable prime factor of 34 digits: 8927483532338876758893836244181519

c173

name 名前Dmitry Domanov
date 日付June 20, 2013 05:12:52 UTC 2013 年 6 月 20 日 (木) 14 時 12 分 52 秒 (日本時間)
composite number 合成数
10496117987939669987216305205435307036512157806302707494726657040781154511728391262477975883862500073917331304238034172661661655054870175064803129067543940676739154665968887<173>
prime factors 素因数
30568271698344084942935194992425611040379581<44>
343366418995427065983624306817670444409101366121716045107355343142571784989229622184349054656316219364688912424985017540915084227<129>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=167248737
Step 1 took 19620ms
Step 2 took 8333ms
********** Factor found in step 2: 30568271698344084942935194992425611040379581
Found probable prime factor of 44 digits: 30568271698344084942935194992425611040379581

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 5, 2013 15:00:00 UTC 2013 年 6 月 6 日 (木) 0 時 0 分 0 秒 (日本時間)

11×10245+13

c209

composite cofactor 合成数の残り
94810705573154713096426062388078437749023217620252035678312710347000007096573588170059208489425099429841163776949541111789636590349807923092816887943333671832060185782407207629363564110795658182675340638629087<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 5, 2013 15:00:00 UTC 2013 年 6 月 6 日 (木) 0 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 21, 2013 13:29:51 UTC 2013 年 8 月 21 日 (水) 22 時 29 分 51 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovAugust 30, 2013 10:45:44 UTC 2013 年 8 月 30 日 (金) 19 時 45 分 44 秒 (日本時間)

11×10247+13

c230

name 名前Dmitry Domanov
date 日付June 20, 2013 07:30:53 UTC 2013 年 6 月 20 日 (木) 16 時 30 分 53 秒 (日本時間)
composite number 合成数
11115539866373087818037830203658487073454645286242023389474195751023888067032463655709343403732445329067693532604976374049191362118216144146868862723973840118188922664240178764321888025596267774646020188560246921117408099219190703<230>
prime factors 素因数
518543134125421381928703808820897350063507<42>
composite cofactor 合成数の残り
21436094964637104161171123318776062869901765366104792650719417688185429953556818241305367181494048810950927809185076412188850181771527042025832082447914798322172241903177648706841460407029<188>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=616336653
Step 1 took 30532ms
********** Factor found in step 1: 518543134125421381928703808820897350063507
Found probable prime factor of 42 digits: 518543134125421381928703808820897350063507

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 5, 2013 15:00:00 UTC 2013 年 6 月 6 日 (木) 0 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 21, 2013 13:30:02 UTC 2013 年 8 月 21 日 (水) 22 時 30 分 2 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovAugust 30, 2013 10:46:01 UTC 2013 年 8 月 30 日 (金) 19 時 46 分 1 秒 (日本時間)

11×10248+13

c243

name 名前Dmitry Domanov
date 日付September 12, 2013 09:19:35 UTC 2013 年 9 月 12 日 (木) 18 時 19 分 35 秒 (日本時間)
composite number 合成数
213836837438709016469130028154535605680206232021910888746719791512971439757594561079479458930594200084018437400918215379961816516718444340895575890790805560302085356278414784756699362319111045275284796647971495160775170199542816841556040122789<243>
prime factors 素因数
33808681934663276454118899621061601168141738069<47>
6324909023426522476847737974001971795142464518488892045541362346149866247199583733819359792201213105261670815498617104566462856707368498424213733424485756792615013615309326777304840771042953636881<196>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4216056450
Step 1 took 169198ms
Step 2 took 53435ms
********** Factor found in step 2: 33808681934663276454118899621061601168141738069
Found probable prime factor of 47 digits: 33808681934663276454118899621061601168141738069

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61014118Makoto KamadaJune 5, 2013 15:00:00 UTC 2013 年 6 月 6 日 (木) 0 時 0 分 0 秒 (日本時間)
896Andreas TeteJuly 31, 2013 20:43:05 UTC 2013 年 8 月 1 日 (木) 5 時 43 分 5 秒 (日本時間)
403e61500Dmitry DomanovAugust 21, 2013 13:30:12 UTC 2013 年 8 月 21 日 (水) 22 時 30 分 12 秒 (日本時間)
4511e61500 / 4102Dmitry DomanovSeptember 9, 2013 05:18:12 UTC 2013 年 9 月 9 日 (月) 14 時 18 分 12 秒 (日本時間)

11×10250+13

c233

composite cofactor 合成数の残り
30769044763715315019829850995928689924872129534731413485920586650368849106615878166175025213486492724696398335929854435748026937811178043227037243271581629489423055560477303279117514118798929060459490606760023833896087893647980843177<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 5, 2013 15:00:00 UTC 2013 年 6 月 6 日 (木) 0 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovJune 28, 2013 17:16:13 UTC 2013 年 6 月 29 日 (土) 2 時 16 分 13 秒 (日本時間)
4511e61500Dmitry DomanovJune 28, 2013 17:16:13 UTC 2013 年 6 月 29 日 (土) 2 時 16 分 13 秒 (日本時間)
5043e6760 / 7159400Dmitry DomanovAugust 1, 2013 12:04:19 UTC 2013 年 8 月 1 日 (木) 21 時 4 分 19 秒 (日本時間)
360Dmitry DomanovAugust 19, 2013 13:00:35 UTC 2013 年 8 月 19 日 (月) 22 時 0 分 35 秒 (日本時間)

11×10251+13

c169

composite cofactor 合成数の残り
1815605965117139780792070232721012195239635967379500825795584329060312835131753520838792989907607465041468751161131898489035036514957501368926206971337420660558666348891<169>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovMay 22, 2017 14:29:29 UTC 2017 年 5 月 22 日 (月) 23 時 29 分 29 秒 (日本時間)
4511e61200Dmitry DomanovMay 24, 2017 11:34:25 UTC 2017 年 5 月 24 日 (水) 20 時 34 分 25 秒 (日本時間)
5043e61000 / 7233Dmitry DomanovJune 5, 2017 14:36:07 UTC 2017 年 6 月 5 日 (月) 23 時 36 分 7 秒 (日本時間)

11×10252+13

c226

composite cofactor 合成数の残り
1718255437726681045549144455042337892874354055788951105531691011169282555644145402199717083418143921905102278826303595133281756985905163138621628397759243688166166477056171753999991232017974293409839304044416972712716123802327<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)

11×10253+13

c242

composite cofactor 合成数の残り
51529737274530509292220979920934925284466454156250309377384061756392160084565701207684254963833908648901137812332692708393986857085781649176575393641283306603966043716939738859402564307184375917940306500601390857200511910287699267130232736637<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)

11×10257+13

c206

composite cofactor 合成数の残り
72096450777241144773650505831287185725891501665437123438900328502819328150763187455972328358560782552075607368492292770890912735508563074162194682838169065698992229677200532870876697229497932680389701329979<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000 / 2104Dmitry DomanovJune 6, 2017 14:45:34 UTC 2017 年 6 月 6 日 (火) 23 時 45 分 34 秒 (日本時間)

11×10258+13

c212

composite cofactor 合成数の残り
64521807684121923710253203634078148377044214313806887623389227561323330824272690253296180839912674149529023814294756164345861507429991955720875192770072280163889144255268788656397967988984951023963872913443528633<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000 / 2104Dmitry DomanovJune 6, 2017 14:45:48 UTC 2017 年 6 月 6 日 (火) 23 時 45 分 48 秒 (日本時間)

11×10259+13

c243

composite cofactor 合成数の残り
718807232377762215437066198109393962571027852117917464051958023825279783189153305146863563344524086683988946465702975216611781447691541049252659293011049088170518101657148751647774659672518474524579801017142515837372759088951638103782943285289<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)

11×10260+13

c247

composite cofactor 合成数の残り
6064306643826505613601067170140627772634296200099733269040001695771675762212968227833941982819078887712419772892892049927134153502477205781857108389183426170278772604056766009732462149378796392418032481239169472486924671851136990118903647746866551<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)

11×10261+13

c247

composite cofactor 合成数の残り
9037150617591252906656009478378426899213052062448781385140991717524221765876990462671558624468180050356286666836464784048803286063060165969281871730086708542674424221738070455453764130394562690574637629780264696797999966171422843098462005422768137<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)

11×10263+13

c234

composite cofactor 合成数の残り
519282955327457986495977774183392711747043255201223352651893069512437883575284873853973893322890600026215604908615100849987774435478590256111378828521380058614448329514601332527639126543096755508291735868355309179213064043123904992973<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)

11×10264+13

c155

composite cofactor 合成数の残り
51674212987919772412027970154237104136419610368059165572372708801464360473943864582352298538267122777330682384318183661770914572259350049804883393300738077<155>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovMay 22, 2017 06:45:13 UTC 2017 年 5 月 22 日 (月) 15 時 45 分 13 秒 (日本時間)
4511e642001200Dmitry DomanovMay 24, 2017 06:41:18 UTC 2017 年 5 月 24 日 (水) 15 時 41 分 18 秒 (日本時間)
3000Lionel DebrouxJanuary 3, 2018 15:46:00 UTC 2018 年 1 月 4 日 (木) 0 時 46 分 0 秒 (日本時間)

11×10265+13

c257

composite cofactor 合成数の残り
11614333161933333508245190752049335967505906059196333003972278584830108373155848820874765433060416575707300755223206963485282706994830203421690900675476196863998297506004858105147693773766496396857601566256769070008812921160275527666055926007082779984135579<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)

11×10266+13

c267

composite cofactor 合成数の残り
366666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667<267>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovMay 22, 2017 17:35:02 UTC 2017 年 5 月 23 日 (火) 2 時 35 分 2 秒 (日本時間)
4511e61600Dmitry DomanovMay 23, 2017 13:42:01 UTC 2017 年 5 月 23 日 (火) 22 時 42 分 1 秒 (日本時間)
5043e64800800Dmitry DomanovJune 8, 2017 17:46:40 UTC 2017 年 6 月 9 日 (金) 2 時 46 分 40 秒 (日本時間)
2400Dmitry DomanovJune 9, 2017 16:47:50 UTC 2017 年 6 月 10 日 (土) 1 時 47 分 50 秒 (日本時間)
1600Dmitry DomanovJune 11, 2017 17:55:25 UTC 2017 年 6 月 12 日 (月) 2 時 55 分 25 秒 (日本時間)
5511e71000 / 15946Dmitry DomanovJune 16, 2017 16:56:08 UTC 2017 年 6 月 17 日 (土) 1 時 56 分 8 秒 (日本時間)

11×10268+13

c211

composite cofactor 合成数の残り
1475276780623772342554252102160922487423829690456278512404526332984569298501134176272333153570109244998771274847525262530565808172866491563748434931589157220784431158034437439161374008257799196210117855409339591<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000 / 2104Dmitry DomanovJune 6, 2017 14:46:06 UTC 2017 年 6 月 6 日 (火) 23 時 46 分 6 秒 (日本時間)

11×10269+13

c241

composite cofactor 合成数の残り
4751267572199022864025451025633085216625222704300945211440380974242389623186327781339081438586294055122627288435757622973344038088349618913640585828554416971267775196331673115122502341631783149946328476921897346580929944238437944573005255149<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)

11×10270+13

c228

composite cofactor 合成数の残り
108423612169771075379344067233116131869457887548437120736786077791502198845317850295595421112841466996703975967653967294572478175711334112907749012428529686810681346225923825211432424297330686698132590824435277958278395326394601<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)

11×10271+13

c197

composite cofactor 合成数の残り
22346882721693591789782840308947454440520751015751351577699209976866394637192547612858745308284530188060569915286363678615318791637639922990846794848567704262007684144807385672464783018465313766677<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000 / 2104Dmitry DomanovMay 22, 2017 12:30:06 UTC 2017 年 5 月 22 日 (月) 21 時 30 分 6 秒 (日本時間)

11×10273+13

c260

composite cofactor 合成数の残り
14825040654607904849003395829003145137291035100838584012494214478215919167168985156454344183826965641145590631071531734003904469307616419337986048936386157752236015708084458188297416893619211016525345919156159001690010844960655690365932305953064447745640671241<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)

11×10274+13

c225

composite cofactor 合成数の残り
312879571398702493517488897365402264945521195011767011197126650239682825361464141853357867054208435486370407272587220875532865202832894814550363215955249840675121563218800805106203295314384653957713064992895085012062089793193<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)

11×10275+13

c195

composite cofactor 合成数の残り
475981356629800119701743152357267394593575404775527273439001027308974439635755387503462051238000897344504634180125034989675202928940904062192207513723508209507617062317512892889180546659880780833<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000 / 2104Dmitry DomanovMay 22, 2017 13:41:18 UTC 2017 年 5 月 22 日 (月) 22 時 41 分 18 秒 (日本時間)

11×10277+13

c221

name 名前Serge Batalov
date 日付May 23, 2017 16:37:49 UTC 2017 年 5 月 24 日 (水) 1 時 37 分 49 秒 (日本時間)
composite number 合成数
16013846328359912259536241875783385183802291990315636038420851498026017805738385592430161838735230301084379788294772015088161223940944568376429184971970865045944819134338931964151806229706032342512684214427587857868935677<221>
prime factors 素因数
1112071390986130645972209075760034569379<40>
composite cofactor 合成数の残り
14400016454123160862560567858107929192651767088387384206748982801007747417769430673040486073716521332570458630248697562005547942702290932177676146842251541032144777250820120850391263<182>
factorization results 素因数分解の結果
1112071390986130645972209075760034569379

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovMay 24, 2017 14:39:34 UTC 2017 年 5 月 24 日 (水) 23 時 39 分 34 秒 (日本時間)
4511e61200Dmitry DomanovMay 24, 2017 14:39:34 UTC 2017 年 5 月 24 日 (水) 23 時 39 分 34 秒 (日本時間)
5043e61200 / 7233Dmitry DomanovJune 8, 2017 17:27:45 UTC 2017 年 6 月 9 日 (金) 2 時 27 分 45 秒 (日本時間)

11×10278+13

c258

composite cofactor 合成数の残り
463932587448574066671731829760530878397298900060307375322313144627322252603909046898744507883870762864443715118596129318559684577469717146162482541583508267638857068195527255529095629503864487968939264747423350373668539973920956126823214376907015314950950469<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)

11×10280+13

c232

composite cofactor 合成数の残り
3896313412604906805921058782671718613572567626356454918636657479704697341196182162719330822446325903267705484168261068671971366959139416839362628146092925492113920533473288266976892375583537025550844643594477380359725702489557567883<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)

11×10281+13

c182

composite cofactor 合成数の残り
17224376380683237014426516168822249109100210397197623429390938495703056200850394467188932512422749484147655149520199784876803956024231018487835246624929947023300379508642127249557799<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovMay 22, 2017 14:31:14 UTC 2017 年 5 月 22 日 (月) 23 時 31 分 14 秒 (日本時間)
4511e61200Dmitry DomanovMay 23, 2017 13:56:50 UTC 2017 年 5 月 23 日 (火) 22 時 56 分 50 秒 (日本時間)
5043e61200 / 7233Dmitry DomanovJune 8, 2017 17:28:57 UTC 2017 年 6 月 9 日 (金) 2 時 28 分 57 秒 (日本時間)

11×10283+13

c270

composite cofactor 合成数の残り
524311548729833238010806756209142577098845371506654392426999775721398912341744597382405258388250939412162138760861520375410087471880327921083510558709451381804748930868269989315935633923489022241489313309516297114941877155956243241630556501345609651721291031215577602779<270>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)

11×10284+13

c274

name 名前Serge Batalov
date 日付May 23, 2017 16:39:21 UTC 2017 年 5 月 24 日 (水) 1 時 39 分 21 秒 (日本時間)
composite number 合成数
2421983798039293434790867783800211843286519762124125256712605688370027985623313143600849001318962591434328780529057452956268545681121797454306443354612759043390209422471857338213312666699006328630979686982377499921309806951298307285980575476025712216917055091581223512538859<274>
prime factors 素因数
397378450444180281582524072308421429<36>
composite cofactor 合成数の残り
6094904732081110424272936078669774793906173077721450228963055237962475594067946685141364758618519825169552446103468181950815304358535738400329813997854492595985155526279942683585321880425643147324251922751332704566061473579948947977440671<238>
factorization results 素因数分解の結果
397378450444180281582524072308421429

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)

11×10285+13

c250

composite cofactor 合成数の残り
5062948449396322009655752235815586810484818815109989683949672468860520923184934791994872318487108356750159449215980964892408718416167581024780921049600440375035154634927866476268901847574052724793284566603381454774305356948281317352155612423574174247<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)

11×10286+13

c219

composite cofactor 合成数の残り
470493307208875012484495936847835697829422190893055086830150522941617573865968853817660787271596137945104109428669314089138901127134901979570700102669370669059590615440862657209945518176812552602730847300194792818631239<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000 / 2104Dmitry DomanovJune 6, 2017 14:46:41 UTC 2017 年 6 月 6 日 (火) 23 時 46 分 41 秒 (日本時間)

11×10287+13

c235

composite cofactor 合成数の残り
1532043040962485915726783179133732138135914045703928698255507294762310822886965455747340099096133189889607480911345621751468514596568143686945110686019475202769325549393424038424945203851482850127497495837896167647440495779815183195321<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)

11×10288+13

c289

composite cofactor 合成数の残り
3666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667<289>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovMay 22, 2017 14:34:35 UTC 2017 年 5 月 22 日 (月) 23 時 34 分 35 秒 (日本時間)
4511e61800Dmitry DomanovMay 23, 2017 13:51:13 UTC 2017 年 5 月 23 日 (火) 22 時 51 分 13 秒 (日本時間)
5043e668003200Dmitry DomanovJune 9, 2017 16:47:33 UTC 2017 年 6 月 10 日 (土) 1 時 47 分 33 秒 (日本時間)
3600Dmitry DomanovJune 15, 2017 16:23:34 UTC 2017 年 6 月 16 日 (金) 1 時 23 分 34 秒 (日本時間)
5511e7180 / 15220Dmitry DomanovJune 19, 2017 15:00:36 UTC 2017 年 6 月 20 日 (火) 0 時 0 分 36 秒 (日本時間)

11×10289+13

c288

composite cofactor 合成数の残り
990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990990991<288>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)

11×10291+13

c265

composite cofactor 合成数の残り
3060013912311064320344627165251816819515647265604120322086965096620764300538712038406575565710578849693568412525516559379757074847881018426689495369589904238453783681751758282559574742306506878560434546057983301515062363962310213158702929302295126976439738348728139<265>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)

11×10292+13

c231

composite cofactor 合成数の残り
252854567365979778820057689982875644985051947198291596555794462155392678991606475690092092874329362327256259173970804688784443381355284297201546120706533592116927740650159414646290458557276014414082426616283816245747731606320526617<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)

11×10293+13

c292

composite cofactor 合成数の残り
1689708141321044546850998463901689708141321044546850998463901689708141321044546850998463901689708141321044546850998463901689708141321044546850998463901689708141321044546850998463901689708141321044546850998463901689708141321044546850998463901689708141321044546850998463901689708141321044546851<292>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)

11×10294+13

c264

composite cofactor 合成数の残り
222023826423587430407242459683175998554145958422340293288872471024847005163058669911720257839902487348799514196148573501703987004046138651136909728561314871198674142985808405385944812939835660918377874223750232596126763741043920818891914892231799063303780246216733<264>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)

11×10295+13

c278

composite cofactor 合成数の残り
42975693862521419764150398231304421945124793453862341359821552546274753670086850563512090301422661970607775177165903141213330417146060204434545738208628520906493412145979444612524928016867414866581137576610672017752375793355572827249748639766149644129769168318448478193560119179<278>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)

11×10296+13

c240

composite cofactor 合成数の残り
100046139987273101039782968617296818928041045705058656847090397278353247356007935523644544549434470488209537419266697206265181007621299983755867845828913496722382343455660180922228200000386002223975438582171373963289431016612899676793121903<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)

11×10298+13

c278

composite cofactor 合成数の残り
39199735367407430949210025580384395708846724715598404950847499300709439512882456759660517141195288964255815657445025769951068211082603002460307801416561416626215780171795950779660562006944450176897439101942752123585574732857128006062025503314062485040272335456384897880596288421<278>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e631 / 116131July 21, 2018 16:02:46 UTC 2018 年 7 月 22 日 (日) 1 時 2 分 46 秒 (日本時間)
4511e631 / 409731July 21, 2018 16:02:46 UTC 2018 年 7 月 22 日 (日) 1 時 2 分 46 秒 (日本時間)
5043e631 / 746531July 21, 2018 16:02:46 UTC 2018 年 7 月 22 日 (日) 1 時 2 分 46 秒 (日本時間)
5511e731 / 1775531July 21, 2018 16:02:46 UTC 2018 年 7 月 22 日 (日) 1 時 2 分 46 秒 (日本時間)

11×10299+13

c251

composite cofactor 合成数の残り
16946851045285314575527569744468790945593442389835827639466612846125884237275366099008800168352634581465390932412175940898535776755766395094427926099536030743800859817262849537204553356631285407162767909282494983653598526758737664720474810506444454857<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)