Table of contents 目次

97×10114-13

c111

name 名前KTakahashi
date 日付December 19, 2014 13:19:21 UTC 2014 年 12 月 19 日 (金) 22 時 19 分 21 秒 (日本時間)
composite number 合成数
581503396099730829871289918409678134872818612904579489116294684339574003800754155950818001426781528574597293911<111>
prime factors 素因数
805082956548716457184629336035841918835699577<45>
722290034051346133983825118112698728346334960578662564021668907343<66>
factorization results 素因数分解の結果
Number: 32333_114
N=581503396099730829871289918409678134872818612904579489116294684339574003800754155950818001426781528574597293911
  ( 111 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=805082956548716457184629336035841918835699577 (pp45)
 r2=722290034051346133983825118112698728346334960578662564021668907343 (pp66)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.88 hours.
Scaled time: 3.25 units (timescale=1.728).
Factorization parameters were as follows:
n: 581503396099730829871289918409678134872818612904579489116294684339574003800754155950818001426781528574597293911
m: 100000000000000000000000
c5: 97
c0: -10
skew: 0.63
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 103570 x 103796
Total sieving time: 1.82 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,116.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.88 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)

97×10121-13

c107

name 名前KTakahashi
date 日付December 19, 2014 13:46:09 UTC 2014 年 12 月 19 日 (金) 22 時 46 分 9 秒 (日本時間)
composite number 合成数
15262766951853458621145400978240905488576234014547189361021015712017192460301096536759296461340141394028329<107>
prime factors 素因数
721395050017516603718948497925433505649<39>
21157293706801640365452956342767010439197982694063493761491309035321<68>
factorization results 素因数分解の結果
Number: 32333_121
N=15262766951853458621145400978240905488576234014547189361021015712017192460301096536759296461340141394028329
  ( 107 digits)
SNFS difficulty: 124 digits.
Divisors found:
 r1=721395050017516603718948497925433505649 (pp39)
 r2=21157293706801640365452956342767010439197982694063493761491309035321 (pp68)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 2.48 hours.
Scaled time: 4.24 units (timescale=1.709).
Factorization parameters were as follows:
n: 15262766951853458621145400978240905488576234014547189361021015712017192460301096536759296461340141394028329
m: 2000000000000000000000000
c5: 485
c0: -16
skew: 0.51
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 96544 x 96776
Total sieving time: 2.43 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,124.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.48 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 19, 2014 13:45:37 UTC 2014 年 12 月 19 日 (金) 22 時 45 分 37 秒 (日本時間)

97×10126-13

c102

name 名前Cyp
date 日付December 20, 2014 03:23:15 UTC 2014 年 12 月 20 日 (土) 12 時 23 分 15 秒 (日本時間)
composite number 合成数
225396622529775551669569181171642579139219226703703354542921809159342372557120475726045669215104748347<102>
prime factors 素因数
523863503738156295682641577196203091873879<42>
430258303778375024468591706600220222673333928328470769794493<60>
factorization results 素因数分解の結果
12/20/14 03:43:13 v1.34.3, 
12/20/14 03:43:13 v1.34.3, ****************************
12/20/14 03:43:13 v1.34.3, Starting factorization of 225396622529775551669569181171642579139219226703703354542921809159342372557120475726045669215104748347
12/20/14 03:43:13 v1.34.3, using pretesting plan: none
12/20/14 03:43:13 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/20/14 03:43:13 v1.34.3, ****************************
12/20/14 03:43:13 v1.34.3, nfs: commencing nfs on c102: 225396622529775551669569181171642579139219226703703354542921809159342372557120475726045669215104748347
12/20/14 03:43:13 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/20/14 03:43:13 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 03:43:34 v1.34.3, nfs: commencing lattice sieving with 8 threads
[106 lines snipped]
12/20/14 04:19:08 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 04:19:29 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 04:19:50 v1.34.3, nfs: commencing msieve filtering
12/20/14 04:20:51 v1.34.3, nfs: commencing msieve linear algebra
12/20/14 04:22:35 v1.34.3, nfs: commencing msieve sqrt
12/20/14 04:23:14 v1.34.3, prp42 = 523863503738156295682641577196203091873879
12/20/14 04:23:14 v1.34.3, prp60 = 430258303778375024468591706600220222673333928328470769794493
12/20/14 04:23:14 v1.34.3, NFS elapsed time = 2400.9196 seconds.
12/20/14 04:23:14 v1.34.3, 
12/20/14 04:23:14 v1.34.3, 
12/20/14 04:23:14 v1.34.3, Total factoring time = 2400.9201 seconds
--
Sat Dec 20 04:19:50 2014  
Sat Dec 20 04:19:50 2014  commencing relation filtering
Sat Dec 20 04:19:50 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 04:19:50 2014  commencing duplicate removal, pass 1
Sat Dec 20 04:20:07 2014  found 703357 hash collisions in 4477709 relations
Sat Dec 20 04:20:10 2014  added 166040 free relations
Sat Dec 20 04:20:10 2014  commencing duplicate removal, pass 2
Sat Dec 20 04:20:14 2014  found 576900 duplicates and 4066849 unique relations
Sat Dec 20 04:20:14 2014  memory use: 20.6 MB
Sat Dec 20 04:20:14 2014  reading ideals above 100000
Sat Dec 20 04:20:14 2014  commencing singleton removal, initial pass
Sat Dec 20 04:20:41 2014  memory use: 94.1 MB
Sat Dec 20 04:20:41 2014  reading all ideals from disk
Sat Dec 20 04:20:41 2014  memory use: 118.0 MB
Sat Dec 20 04:20:41 2014  keeping 4022298 ideals with weight <= 200, target excess is 21557
Sat Dec 20 04:20:42 2014  commencing in-memory singleton removal
Sat Dec 20 04:20:42 2014  begin with 4066849 relations and 4022298 unique ideals
Sat Dec 20 04:20:44 2014  reduce to 1963004 relations and 1328503 ideals in 11 passes
Sat Dec 20 04:20:44 2014  max relations containing the same ideal: 120
Sat Dec 20 04:20:44 2014  removing 759814 relations and 455067 ideals in 304747 cliques
Sat Dec 20 04:20:44 2014  commencing in-memory singleton removal
Sat Dec 20 04:20:44 2014  begin with 1203190 relations and 1328503 unique ideals
Sat Dec 20 04:20:45 2014  reduce to 1125265 relations and 785033 ideals in 6 passes
Sat Dec 20 04:20:45 2014  max relations containing the same ideal: 85
Sat Dec 20 04:20:45 2014  removing 420797 relations and 233418 ideals in 187379 cliques
Sat Dec 20 04:20:45 2014  commencing in-memory singleton removal
Sat Dec 20 04:20:45 2014  begin with 704468 relations and 785033 unique ideals
Sat Dec 20 04:20:45 2014  reduce to 670658 relations and 514520 ideals in 6 passes
Sat Dec 20 04:20:45 2014  max relations containing the same ideal: 54
Sat Dec 20 04:20:46 2014  removing 181491 relations and 101850 ideals in 79641 cliques
Sat Dec 20 04:20:46 2014  commencing in-memory singleton removal
Sat Dec 20 04:20:46 2014  begin with 489167 relations and 514520 unique ideals
Sat Dec 20 04:20:46 2014  reduce to 469466 relations and 391315 ideals in 5 passes
Sat Dec 20 04:20:46 2014  max relations containing the same ideal: 44
Sat Dec 20 04:20:46 2014  removing 121010 relations and 67866 ideals in 53144 cliques
Sat Dec 20 04:20:46 2014  commencing in-memory singleton removal
Sat Dec 20 04:20:46 2014  begin with 348456 relations and 391315 unique ideals
Sat Dec 20 04:20:46 2014  reduce to 333466 relations and 307250 ideals in 6 passes
Sat Dec 20 04:20:46 2014  max relations containing the same ideal: 36
Sat Dec 20 04:20:46 2014  relations with 0 large ideals: 514
Sat Dec 20 04:20:46 2014  relations with 1 large ideals: 773
Sat Dec 20 04:20:46 2014  relations with 2 large ideals: 7796
Sat Dec 20 04:20:46 2014  relations with 3 large ideals: 31784
Sat Dec 20 04:20:46 2014  relations with 4 large ideals: 71695
Sat Dec 20 04:20:46 2014  relations with 5 large ideals: 95147
Sat Dec 20 04:20:46 2014  relations with 6 large ideals: 79917
Sat Dec 20 04:20:46 2014  relations with 7+ large ideals: 45840
Sat Dec 20 04:20:46 2014  commencing 2-way merge
Sat Dec 20 04:20:46 2014  reduce to 280186 relation sets and 253970 unique ideals
Sat Dec 20 04:20:46 2014  commencing full merge
Sat Dec 20 04:20:50 2014  memory use: 27.9 MB
Sat Dec 20 04:20:50 2014  found 126068 cycles, need 122170
Sat Dec 20 04:20:50 2014  weight of 122170 cycles is about 8676539 (71.02/cycle)
Sat Dec 20 04:20:50 2014  distribution of cycle lengths:
Sat Dec 20 04:20:50 2014  1 relations: 4684
Sat Dec 20 04:20:50 2014  2 relations: 10389
Sat Dec 20 04:20:50 2014  3 relations: 13313
Sat Dec 20 04:20:50 2014  4 relations: 13390
Sat Dec 20 04:20:50 2014  5 relations: 12972
Sat Dec 20 04:20:50 2014  6 relations: 11562
Sat Dec 20 04:20:50 2014  7 relations: 10427
Sat Dec 20 04:20:50 2014  8 relations: 9058
Sat Dec 20 04:20:50 2014  9 relations: 7507
Sat Dec 20 04:20:50 2014  10+ relations: 28868
Sat Dec 20 04:20:50 2014  heaviest cycle: 21 relations
Sat Dec 20 04:20:50 2014  commencing cycle optimization
Sat Dec 20 04:20:50 2014  start with 836634 relations
Sat Dec 20 04:20:51 2014  pruned 48767 relations
Sat Dec 20 04:20:51 2014  memory use: 22.2 MB
Sat Dec 20 04:20:51 2014  distribution of cycle lengths:
Sat Dec 20 04:20:51 2014  1 relations: 4684
Sat Dec 20 04:20:51 2014  2 relations: 10788
Sat Dec 20 04:20:51 2014  3 relations: 14230
Sat Dec 20 04:20:51 2014  4 relations: 14312
Sat Dec 20 04:20:51 2014  5 relations: 13935
Sat Dec 20 04:20:51 2014  6 relations: 12319
Sat Dec 20 04:20:51 2014  7 relations: 11085
Sat Dec 20 04:20:51 2014  8 relations: 9125
Sat Dec 20 04:20:51 2014  9 relations: 7439
Sat Dec 20 04:20:51 2014  10+ relations: 24253
Sat Dec 20 04:20:51 2014  heaviest cycle: 21 relations
Sat Dec 20 04:20:51 2014  RelProcTime: 61
Sat Dec 20 04:20:51 2014  
Sat Dec 20 04:20:51 2014  commencing linear algebra
Sat Dec 20 04:20:51 2014  read 122170 cycles
Sat Dec 20 04:20:51 2014  cycles contain 318734 unique relations
Sat Dec 20 04:20:56 2014  read 318734 relations
Sat Dec 20 04:20:57 2014  using 20 quadratic characters above 66581202
Sat Dec 20 04:20:58 2014  building initial matrix
Sat Dec 20 04:21:02 2014  memory use: 39.7 MB
Sat Dec 20 04:21:02 2014  read 122170 cycles
Sat Dec 20 04:21:02 2014  matrix is 121999 x 122170 (35.6 MB) with weight 10797623 (88.38/col)
Sat Dec 20 04:21:02 2014  sparse part has weight 7977446 (65.30/col)
Sat Dec 20 04:21:03 2014  filtering completed in 2 passes
Sat Dec 20 04:21:03 2014  matrix is 121926 x 122103 (35.5 MB) with weight 10793761 (88.40/col)
Sat Dec 20 04:21:03 2014  sparse part has weight 7975173 (65.32/col)
Sat Dec 20 04:21:03 2014  matrix starts at (0, 0)
Sat Dec 20 04:21:03 2014  matrix is 121926 x 122103 (35.5 MB) with weight 10793761 (88.40/col)
Sat Dec 20 04:21:03 2014  sparse part has weight 7975173 (65.32/col)
Sat Dec 20 04:21:03 2014  saving the first 48 matrix rows for later
Sat Dec 20 04:21:03 2014  matrix includes 64 packed rows
Sat Dec 20 04:21:03 2014  matrix is 121878 x 122103 (33.4 MB) with weight 8435654 (69.09/col)
Sat Dec 20 04:21:03 2014  sparse part has weight 7526862 (61.64/col)
Sat Dec 20 04:21:03 2014  using block size 48751 for processor cache size 8192 kB
Sat Dec 20 04:21:03 2014  commencing Lanczos iteration
Sat Dec 20 04:21:03 2014  memory use: 24.7 MB
Sat Dec 20 04:21:13 2014  linear algebra at 9.9%, ETA 0h 1m
Sat Dec 20 04:22:35 2014  lanczos halted after 1929 iterations (dim = 121876)
Sat Dec 20 04:22:35 2014  recovered 37 nontrivial dependencies
Sat Dec 20 04:22:35 2014  BLanczosTime: 104
Sat Dec 20 04:22:35 2014  
Sat Dec 20 04:22:35 2014  commencing square root phase
Sat Dec 20 04:22:35 2014  reading relations for dependency 1
Sat Dec 20 04:22:35 2014  read 60781 cycles
Sat Dec 20 04:22:35 2014  cycles contain 159102 unique relations
Sat Dec 20 04:22:40 2014  read 159102 relations
Sat Dec 20 04:22:41 2014  multiplying 159102 relations
Sat Dec 20 04:22:45 2014  multiply complete, coefficients have about 4.39 million bits
Sat Dec 20 04:22:45 2014  initial square root is modulo 112951
Sat Dec 20 04:22:50 2014  GCD is 1, no factor found
Sat Dec 20 04:22:50 2014  reading relations for dependency 2
Sat Dec 20 04:22:50 2014  read 60846 cycles
Sat Dec 20 04:22:50 2014  cycles contain 158882 unique relations
Sat Dec 20 04:22:54 2014  read 158882 relations
Sat Dec 20 04:22:54 2014  multiplying 158882 relations
Sat Dec 20 04:22:58 2014  multiply complete, coefficients have about 4.38 million bits
Sat Dec 20 04:22:58 2014  initial square root is modulo 111341
Sat Dec 20 04:23:02 2014  GCD is 1, no factor found
Sat Dec 20 04:23:02 2014  reading relations for dependency 3
Sat Dec 20 04:23:02 2014  read 61052 cycles
Sat Dec 20 04:23:02 2014  cycles contain 159638 unique relations
Sat Dec 20 04:23:06 2014  read 159638 relations
Sat Dec 20 04:23:07 2014  multiplying 159638 relations
Sat Dec 20 04:23:10 2014  multiply complete, coefficients have about 4.41 million bits
Sat Dec 20 04:23:10 2014  initial square root is modulo 117671
Sat Dec 20 04:23:14 2014  sqrtTime: 39
--
n: 225396622529775551669569181171642579139219226703703354542921809159342372557120475726045669215104748347
m: 10000000000000000000000000
deg: 5
c5: 970
c0: -1
skew: 0.25
# Murphy_E = 9.478e-09
type: snfs
lss: 1
rlim: 950000
alim: 950000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
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
351e6904118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 19, 2014 13:57:58 UTC 2014 年 12 月 19 日 (金) 22 時 57 分 58 秒 (日本時間)

97×10128-13

c127

name 名前KTakahashi
date 日付December 19, 2014 14:04:48 UTC 2014 年 12 月 19 日 (金) 23 時 4 分 48 秒 (日本時間)
composite number 合成数
2804278693263949118242266551026308181555362821624747036715813819022838970800809482509395779126915293437409655969933506793871061<127>
prime factors 素因数
1654768896182464642245680806968907221679<40>
1694664856061406596292884294725270897366710865201059949332235777446970872105775996848059<88>
factorization results 素因数分解の結果
Input number is 2804278693263949118242266551026308181555362821624747036715813819022838970800809482509395779126915293437409655969933506793871061 (127 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3615942245
Step 1 took 3151ms
Step 2 took 2028ms
********** Factor found in step 2: 1654768896182464642245680806968907221679
Found probable prime factor of 40 digits: 1654768896182464642245680806968907221679
Probable prime cofactor 1694664856061406596292884294725270897366710865201059949332235777446970872105775996848059 has 88 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)

97×10130-13

c124

name 名前Serge Batalov
date 日付December 19, 2014 17:56:45 UTC 2014 年 12 月 20 日 (土) 2 時 56 分 45 秒 (日本時間)
composite number 合成数
9648973046369691767932887473188910886889535462925347994440560152528578542237727956117823430816112229214876094304208226509503<124>
prime factors 素因数
253694238607716721836118297883<30>
composite cofactor 合成数の残り
38033867459204471632011335561148214342251520204799798162487982357144295472121613258896747876141<95>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=2933682711
Step 1 took 2535ms
Step 2 took 1957ms
********** Factor found in step 2: 253694238607716721836118297883
Found probable prime factor of 30 digits: 253694238607716721836118297883
Composite cofactor 

c95

name 名前Dmitry Domanov
date 日付December 21, 2014 00:26:58 UTC 2014 年 12 月 21 日 (日) 9 時 26 分 58 秒 (日本時間)
composite number 合成数
38033867459204471632011335561148214342251520204799798162487982357144295472121613258896747876141<95>
prime factors 素因数
505894726830546525082826620088621457132127<42>
75181387435066542968686997025389685159985418617104883<53>
factorization results 素因数分解の結果
N=38033867459204471632011335561148214342251520204799798162487982357144295472121613258896747876141
  ( 95 digits)
Divisors found:
 r1=505894726830546525082826620088621457132127 (pp42)
 r2=75181387435066542968686997025389685159985418617104883 (pp53)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 1.68 hours.
Scaled time: 2.67 units (timescale=1.588).
Factorization parameters were as follows:
n: 38033867459204471632011335561148214342251520204799798162487982357144295472121613258896747876141
skew: 661892.18
c0: 34626913891315060937035925
c1: -236054630752941372471
c2: -4354905490763505
c3: 1332640471
c4: 2700
Y0: -61263364277603027745608
Y1: 958905609589
rlim: 1500000
alim: 1500000
lpbr: 25
lpba: 25
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 50/50
Sieved algebraic special-q in [750000, 930001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 172626 x 172857
Total sieving time: 1.54 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,94,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1500000,1500000,25,25,50,50,2.5,2.5,60000
total time: 1.68 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)

97×10132-13

c105

name 名前Cyp
date 日付December 20, 2014 09:40:02 UTC 2014 年 12 月 20 日 (土) 18 時 40 分 2 秒 (日本時間)
composite number 合成数
470842613103236249294747058926818199296344498809447678421922234283101033803152174276644810139317300500263<105>
prime factors 素因数
527734522111396683002077555288712115882988672829<48>
892195968570440760000487745165349706232384830017587293747<57>
factorization results 素因数分解の結果
12/20/14 09:38:48 v1.34.3, 
12/20/14 09:38:48 v1.34.3, ****************************
12/20/14 09:38:48 v1.34.3, Starting factorization of 470842613103236249294747058926818199296344498809447678421922234283101033803152174276644810139317300500263
12/20/14 09:38:48 v1.34.3, using pretesting plan: none
12/20/14 09:38:48 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/20/14 09:38:48 v1.34.3, ****************************
12/20/14 09:38:48 v1.34.3, nfs: commencing nfs on c105: 470842613103236249294747058926818199296344498809447678421922234283101033803152174276644810139317300500263
12/20/14 09:38:48 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/20/14 09:38:48 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 09:39:09 v1.34.3, nfs: commencing lattice sieving with 8 threads
[169 lines snipped]
12/20/14 10:33:36 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 10:33:51 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 10:34:07 v1.34.3, nfs: commencing msieve filtering
12/20/14 10:35:16 v1.34.3, nfs: commencing msieve linear algebra
12/20/14 10:39:36 v1.34.3, nfs: commencing msieve sqrt
12/20/14 10:40:01 v1.34.3, prp57 = 892195968570440760000487745165349706232384830017587293747
12/20/14 10:40:01 v1.34.3, prp48 = 527734522111396683002077555288712115882988672829
12/20/14 10:40:01 v1.34.3, NFS elapsed time = 3672.5694 seconds.
12/20/14 10:40:01 v1.34.3, 
12/20/14 10:40:01 v1.34.3, 
12/20/14 10:40:01 v1.34.3, Total factoring time = 3672.5698 seconds
--
Sat Dec 20 10:34:07 2014  
Sat Dec 20 10:34:07 2014  commencing relation filtering
Sat Dec 20 10:34:07 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 10:34:07 2014  commencing duplicate removal, pass 1
Sat Dec 20 10:34:25 2014  found 776486 hash collisions in 4488206 relations
Sat Dec 20 10:34:30 2014  added 171795 free relations
Sat Dec 20 10:34:30 2014  commencing duplicate removal, pass 2
Sat Dec 20 10:34:35 2014  found 675529 duplicates and 3984472 unique relations
Sat Dec 20 10:34:35 2014  memory use: 20.6 MB
Sat Dec 20 10:34:35 2014  reading ideals above 100000
Sat Dec 20 10:34:35 2014  commencing singleton removal, initial pass
Sat Dec 20 10:35:01 2014  memory use: 94.1 MB
Sat Dec 20 10:35:01 2014  reading all ideals from disk
Sat Dec 20 10:35:01 2014  memory use: 120.2 MB
Sat Dec 20 10:35:02 2014  keeping 4223246 ideals with weight <= 200, target excess is 21033
Sat Dec 20 10:35:02 2014  commencing in-memory singleton removal
Sat Dec 20 10:35:02 2014  begin with 3984472 relations and 4223246 unique ideals
Sat Dec 20 10:35:04 2014  reduce to 1744002 relations and 1360068 ideals in 11 passes
Sat Dec 20 10:35:04 2014  max relations containing the same ideal: 114
Sat Dec 20 10:35:05 2014  removing 540114 relations and 360346 ideals in 179768 cliques
Sat Dec 20 10:35:05 2014  commencing in-memory singleton removal
Sat Dec 20 10:35:06 2014  begin with 1203888 relations and 1360068 unique ideals
Sat Dec 20 10:35:06 2014  reduce to 1117914 relations and 903315 ideals in 7 passes
Sat Dec 20 10:35:06 2014  max relations containing the same ideal: 82
Sat Dec 20 10:35:07 2014  removing 454018 relations and 274250 ideals in 179768 cliques
Sat Dec 20 10:35:07 2014  commencing in-memory singleton removal
Sat Dec 20 10:35:07 2014  begin with 663896 relations and 903315 unique ideals
Sat Dec 20 10:35:07 2014  reduce to 597263 relations and 552961 ideals in 7 passes
Sat Dec 20 10:35:07 2014  max relations containing the same ideal: 53
Sat Dec 20 10:35:07 2014  removing 70225 relations and 50322 ideals in 19903 cliques
Sat Dec 20 10:35:07 2014  commencing in-memory singleton removal
Sat Dec 20 10:35:08 2014  begin with 527038 relations and 552961 unique ideals
Sat Dec 20 10:35:08 2014  reduce to 519432 relations and 494764 ideals in 6 passes
Sat Dec 20 10:35:08 2014  max relations containing the same ideal: 49
Sat Dec 20 10:35:08 2014  relations with 0 large ideals: 493
Sat Dec 20 10:35:08 2014  relations with 1 large ideals: 388
Sat Dec 20 10:35:08 2014  relations with 2 large ideals: 5363
Sat Dec 20 10:35:08 2014  relations with 3 large ideals: 31654
Sat Dec 20 10:35:08 2014  relations with 4 large ideals: 91414
Sat Dec 20 10:35:08 2014  relations with 5 large ideals: 146793
Sat Dec 20 10:35:08 2014  relations with 6 large ideals: 141940
Sat Dec 20 10:35:08 2014  relations with 7+ large ideals: 101387
Sat Dec 20 10:35:08 2014  commencing 2-way merge
Sat Dec 20 10:35:08 2014  reduce to 361131 relation sets and 336463 unique ideals
Sat Dec 20 10:35:08 2014  commencing full merge
Sat Dec 20 10:35:14 2014  memory use: 41.1 MB
Sat Dec 20 10:35:14 2014  found 177926 cycles, need 174663
Sat Dec 20 10:35:14 2014  weight of 174663 cycles is about 12296693 (70.40/cycle)
Sat Dec 20 10:35:14 2014  distribution of cycle lengths:
Sat Dec 20 10:35:14 2014  1 relations: 6475
Sat Dec 20 10:35:14 2014  2 relations: 13300
Sat Dec 20 10:35:14 2014  3 relations: 18019
Sat Dec 20 10:35:14 2014  4 relations: 19175
Sat Dec 20 10:35:14 2014  5 relations: 19100
Sat Dec 20 10:35:14 2014  6 relations: 17876
Sat Dec 20 10:35:14 2014  7 relations: 16096
Sat Dec 20 10:35:14 2014  8 relations: 13791
Sat Dec 20 10:35:14 2014  9 relations: 11695
Sat Dec 20 10:35:14 2014  10+ relations: 39136
Sat Dec 20 10:35:14 2014  heaviest cycle: 21 relations
Sat Dec 20 10:35:14 2014  commencing cycle optimization
Sat Dec 20 10:35:14 2014  start with 1182157 relations
Sat Dec 20 10:35:16 2014  pruned 44884 relations
Sat Dec 20 10:35:16 2014  memory use: 33.9 MB
Sat Dec 20 10:35:16 2014  distribution of cycle lengths:
Sat Dec 20 10:35:16 2014  1 relations: 6475
Sat Dec 20 10:35:16 2014  2 relations: 13619
Sat Dec 20 10:35:16 2014  3 relations: 18866
Sat Dec 20 10:35:16 2014  4 relations: 19994
Sat Dec 20 10:35:16 2014  5 relations: 19978
Sat Dec 20 10:35:16 2014  6 relations: 18665
Sat Dec 20 10:35:16 2014  7 relations: 16657
Sat Dec 20 10:35:16 2014  8 relations: 14198
Sat Dec 20 10:35:16 2014  9 relations: 11698
Sat Dec 20 10:35:16 2014  10+ relations: 34513
Sat Dec 20 10:35:16 2014  heaviest cycle: 20 relations
Sat Dec 20 10:35:16 2014  RelProcTime: 69
Sat Dec 20 10:35:16 2014  
Sat Dec 20 10:35:16 2014  commencing linear algebra
Sat Dec 20 10:35:16 2014  read 174663 cycles
Sat Dec 20 10:35:17 2014  cycles contain 506726 unique relations
Sat Dec 20 10:35:22 2014  read 506726 relations
Sat Dec 20 10:35:22 2014  using 20 quadratic characters above 67099310
Sat Dec 20 10:35:24 2014  building initial matrix
Sat Dec 20 10:35:30 2014  memory use: 61.9 MB
Sat Dec 20 10:35:30 2014  read 174663 cycles
Sat Dec 20 10:35:30 2014  matrix is 174486 x 174663 (51.6 MB) with weight 15482818 (88.64/col)
Sat Dec 20 10:35:30 2014  sparse part has weight 11602449 (66.43/col)
Sat Dec 20 10:35:31 2014  filtering completed in 2 passes
Sat Dec 20 10:35:31 2014  matrix is 174461 x 174638 (51.6 MB) with weight 15481595 (88.65/col)
Sat Dec 20 10:35:31 2014  sparse part has weight 11601772 (66.43/col)
Sat Dec 20 10:35:31 2014  matrix starts at (0, 0)
Sat Dec 20 10:35:31 2014  matrix is 174461 x 174638 (51.6 MB) with weight 15481595 (88.65/col)
Sat Dec 20 10:35:31 2014  sparse part has weight 11601772 (66.43/col)
Sat Dec 20 10:35:31 2014  saving the first 48 matrix rows for later
Sat Dec 20 10:35:31 2014  matrix includes 64 packed rows
Sat Dec 20 10:35:31 2014  matrix is 174413 x 174638 (48.5 MB) with weight 12266938 (70.24/col)
Sat Dec 20 10:35:31 2014  sparse part has weight 10956426 (62.74/col)
Sat Dec 20 10:35:31 2014  using block size 65536 for processor cache size 8192 kB
Sat Dec 20 10:35:32 2014  commencing Lanczos iteration
Sat Dec 20 10:35:32 2014  memory use: 36.5 MB
Sat Dec 20 10:35:49 2014  linear algebra at 7.0%, ETA 0h 3m
Sat Dec 20 10:39:35 2014  lanczos halted after 2760 iterations (dim = 174412)
Sat Dec 20 10:39:36 2014  recovered 39 nontrivial dependencies
Sat Dec 20 10:39:36 2014  BLanczosTime: 260
Sat Dec 20 10:39:36 2014  
Sat Dec 20 10:39:36 2014  commencing square root phase
Sat Dec 20 10:39:36 2014  reading relations for dependency 1
Sat Dec 20 10:39:36 2014  read 87293 cycles
Sat Dec 20 10:39:36 2014  cycles contain 253182 unique relations
Sat Dec 20 10:39:39 2014  read 253182 relations
Sat Dec 20 10:39:40 2014  multiplying 253182 relations
Sat Dec 20 10:39:43 2014  multiply complete, coefficients have about 7.81 million bits
Sat Dec 20 10:39:43 2014  initial square root is modulo 958998991
Sat Dec 20 10:39:48 2014  GCD is N, no factor found
Sat Dec 20 10:39:48 2014  reading relations for dependency 2
Sat Dec 20 10:39:48 2014  read 87553 cycles
Sat Dec 20 10:39:48 2014  cycles contain 254188 unique relations
Sat Dec 20 10:39:51 2014  read 254188 relations
Sat Dec 20 10:39:52 2014  multiplying 254188 relations
Sat Dec 20 10:39:56 2014  multiply complete, coefficients have about 7.84 million bits
Sat Dec 20 10:39:56 2014  initial square root is modulo 1037533411
Sat Dec 20 10:40:01 2014  sqrtTime: 25
--
n: 470842613103236249294747058926818199296344498809447678421922234283101033803152174276644810139317300500263
m: 100000000000000000000000000
deg: 5
c5: 9700
c0: -1
skew: 0.16
# Murphy_E = 4.817e-09
type: snfs
lss: 1
rlim: 1200000
alim: 1200000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
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
351e6904118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 19, 2014 14:37:27 UTC 2014 年 12 月 19 日 (金) 23 時 37 分 27 秒 (日本時間)

97×10138-13

c114

name 名前KTakahashi
date 日付December 19, 2014 15:16:58 UTC 2014 年 12 月 20 日 (土) 0 時 16 分 58 秒 (日本時間)
composite number 合成数
490083330593063203144813478065438864301321305131034529856916041595037674800879767919359002901571946940049963970433<114>
prime factors 素因数
11934494045025175416146216562197<32>
206659905991987581921764104497101<33>
198705409931420278533011799331296818940276089779889<51>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM]
Input number is 490083330593063203144813478065438864301321305131034529856916041595037674800879767919359002901571946940049963970433 (114 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=994256058
Step 1 took 2995ms
Step 2 took 2012ms
********** Factor found in step 2: 206659905991987581921764104497101
Found probable prime factor of 33 digits: 206659905991987581921764104497101
Composite cofactor 2371448531540821663929998713947119204211911307044928205311316180518477096008256133 has 82 digits

Msieve v. 1.51 (SVN Official Release)
Tue Dec 16 12:55:24 2014
random seeds: f3eccca8 34e3ea99
factoring 2371448531540821663929998713947119204211911307044928205311316180518477096008256133 (82 digits)
searching for 15-digit factors
commencing quadratic sieve (82-digit input)
using multiplier of 13
using VC8 64kb sieve core
sieve interval: 6 blocks of size 65536
processing polynomials in batches of 17
using a sieve bound of 1342547 (51450 primes)
using large prime bound of 126199418 (26 bits)
using trial factoring cutoff of 27 bits
polynomial 'A' values have 10 factors
51639 relations (26374 full + 25265 combined from 276449 partial), need 51546
begin with 302823 relations
reduce to 73819 relations in 2 passes
attempting to read 73819 relations
recovered 73819 relations
recovered 65657 polynomials
attempting to build 51639 cycles
found 51639 cycles in 1 passes
distribution of cycle lengths:
   length 1 : 26374
   length 2 : 25265
largest cycle: 2 relations
matrix is 51450 x 51639 (7.6 MB) with weight 1591592 (30.82/col)
sparse part has weight 1591592 (30.82/col)
filtering completed in 3 passes
matrix is 37270 x 37332 (6.0 MB) with weight 1287264 (34.48/col)
sparse part has weight 1287264 (34.48/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 37222 x 37332 (4.7 MB) with weight 1039824 (27.85/col)
sparse part has weight 866339 (23.21/col)
using block size 14888 for processor cache size 1024 kB
commencing Lanczos iteration
memory use: 2.7 MB
lanczos halted after 590 iterations (dim = 37220)
recovered 16 nontrivial dependencies
prp32 factor: 11934494045025175416146216562197
prp51 factor: 198705409931420278533011799331296818940276089779889
elapsed time 00:16:41

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)

97×10140-13

c102

name 名前Pierre Jammes
date 日付December 21, 2014 05:22:57 UTC 2014 年 12 月 21 日 (日) 14 時 22 分 57 秒 (日本時間)
composite number 合成数
105004493434178616417915894314770242775292020984407247766649464123209620390198635495416475835997879427<102>
prime factors 素因数
150499511889658227838701950648558318309311<42>
697706538152527645977949115706871886321733510434359880221757<60>
factorization results 素因数分解の結果
Using B1=11000000, B2=144269945836, polynomial Dickson(12), sigma=642149189
Step 1 took 53048ms
Step 2 took 44784ms
********** Factor found in step 2: 150499511889658227838701950648558318309311
Found probable prime factor of 42 digits: 150499511889658227838701950648558318309311
Probable prime cofactor 697706538152527645977949115706871886321733510434359880221757 has 60 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Linux/Debian

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 19, 2014 15:04:37 UTC 2014 年 12 月 20 日 (土) 0 時 4 分 37 秒 (日本時間)

97×10141-13

c120

name 名前Jo Yeong Uk
date 日付December 21, 2014 14:16:14 UTC 2014 年 12 月 21 日 (日) 23 時 16 分 14 秒 (日本時間)
composite number 合成数
686559057485495646665074627339403549239196642199224812800273921885057197620261855994163931824874188753519145376800013323<120>
prime factors 素因数
1191321392267131668836315638287413604439<40>
576300452541145626491557600345293945133830583539509936248327189522870408154427757<81>
factorization results 素因数分解の結果
Number: 32333_141
N=686559057485495646665074627339403549239196642199224812800273921885057197620261855994163931824874188753519145376800013323
  ( 120 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=1191321392267131668836315638287413604439
 r2=576300452541145626491557600345293945133830583539509936248327189522870408154427757
Version: 
Total time: 2.17 hours.
Scaled time: 11.40 units (timescale=5.256).
Factorization parameters were as follows:
n: 686559057485495646665074627339403549239196642199224812800273921885057197620261855994163931824874188753519145376800013323
m: 10000000000000000000000000000
deg: 5
c5: 970
c0: -1
skew: 0.25
# Murphy_E = 2.687e-09
type: snfs
lss: 1
rlim: 1680000
alim: 1680000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1680000/1680000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [840000, 1650001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 3878612
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 274918 x 275166
Total sieving time: 1.81 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,142,5,0,0,0,0,0,0,0,0,1680000,1680000,26,26,48,48,2.3,2.3,30000
total time: 2.17 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.88 BogoMIPS (lpj=3399941)
Total of 12 processors activated (81598.58 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
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:19:53 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 53 秒 (日本時間)

97×10142-13

c131

name 名前Jo Yeong Uk
date 日付December 21, 2014 22:11:38 UTC 2014 年 12 月 22 日 (月) 7 時 11 分 38 秒 (日本時間)
composite number 合成数
38756893549235019723801445740669169624334307526869577736051865727445404821864035638369332169387080281822515607511912253275272663113<131>
prime factors 素因数
12026464515311846013829086478868393586953960817098843<53>
3222634008514351331307794154491702807606810214598538175364025716341024022958891<79>
factorization results 素因数分解の結果
Number: 32333_142
N=38756893549235019723801445740669169624334307526869577736051865727445404821864035638369332169387080281822515607511912253275272663113
  ( 131 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=12026464515311846013829086478868393586953960817098843
 r2=3222634008514351331307794154491702807606810214598538175364025716341024022958891
Version: 
Total time: 2.93 hours.
Scaled time: 15.40 units (timescale=5.255).
Factorization parameters were as follows:
n: 38756893549235019723801445740669169624334307526869577736051865727445404821864035638369332169387080281822515607511912253275272663113
m: 10000000000000000000000000000
deg: 5
c5: 9700
c0: -1
skew: 0.16
# Murphy_E = 2.064e-09
type: snfs
lss: 1
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [900000, 2040001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4227687
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 303438 x 303686
Total sieving time: 2.48 hours.
Total relation processing time: 0.34 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,143,5,0,0,0,0,0,0,0,0,1800000,1800000,26,26,48,48,2.3,2.3,30000
total time: 2.93 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.88 BogoMIPS (lpj=3399941)
Total of 12 processors activated (81598.58 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
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:19:54 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 54 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:32 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 32 秒 (日本時間)

97×10143-13

c113

name 名前Cyp
date 日付December 21, 2014 21:34:10 UTC 2014 年 12 月 22 日 (月) 6 時 34 分 10 秒 (日本時間)
composite number 合成数
66403087434004601658970539399231466500066390689977977855980489533311516397600782150924667928888436279449043272731<113>
prime factors 素因数
301982374925669956022023623766258415884064633<45>
219890606034041159110112622555103964187933823415478222264849478029107<69>
factorization results 素因数分解の結果
12/21/14 20:42:28 v1.34.3, 
12/21/14 20:42:28 v1.34.3, ****************************
12/21/14 20:42:28 v1.34.3, Starting factorization of 66403087434004601658970539399231466500066390689977977855980489533311516397600782150924667928888436279449043272731
12/21/14 20:42:28 v1.34.3, using pretesting plan: none
12/21/14 20:42:28 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/21/14 20:42:28 v1.34.3, ****************************
12/21/14 20:42:28 v1.34.3, nfs: commencing nfs on c113: 66403087434004601658970539399231466500066390689977977855980489533311516397600782150924667928888436279449043272731
12/21/14 20:42:28 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/21/14 20:42:28 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 20:43:29 v1.34.3, nfs: commencing lattice sieving with 8 threads
[76 lines snipped]
12/21/14 22:20:02 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 22:21:07 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 22:22:34 v1.34.3, nfs: commencing msieve filtering
12/21/14 22:24:29 v1.34.3, nfs: commencing msieve linear algebra
12/21/14 22:31:11 v1.34.3, nfs: commencing msieve sqrt
12/21/14 22:34:09 v1.34.3, prp69 = 219890606034041159110112622555103964187933823415478222264849478029107
12/21/14 22:34:09 v1.34.3, prp45 = 301982374925669956022023623766258415884064633
12/21/14 22:34:09 v1.34.3, NFS elapsed time = 6700.9105 seconds.
12/21/14 22:34:09 v1.34.3, 
12/21/14 22:34:09 v1.34.3, 
12/21/14 22:34:09 v1.34.3, Total factoring time = 6700.9114 seconds
--
Sun Dec 21 22:22:34 2014  
Sun Dec 21 22:22:34 2014  commencing relation filtering
Sun Dec 21 22:22:34 2014  estimated available RAM is 15987.3 MB
Sun Dec 21 22:22:34 2014  commencing duplicate removal, pass 1
Sun Dec 21 22:23:01 2014  found 653914 hash collisions in 4481493 relations
Sun Dec 21 22:23:09 2014  added 181605 free relations
Sun Dec 21 22:23:09 2014  commencing duplicate removal, pass 2
Sun Dec 21 22:23:16 2014  found 502753 duplicates and 4160345 unique relations
Sun Dec 21 22:23:16 2014  memory use: 20.6 MB
Sun Dec 21 22:23:16 2014  reading ideals above 100000
Sun Dec 21 22:23:16 2014  commencing singleton removal, initial pass
Sun Dec 21 22:23:57 2014  memory use: 94.1 MB
Sun Dec 21 22:23:57 2014  reading all ideals from disk
Sun Dec 21 22:23:57 2014  memory use: 134.1 MB
Sun Dec 21 22:23:58 2014  keeping 4649209 ideals with weight <= 200, target excess is 21731
Sun Dec 21 22:23:59 2014  commencing in-memory singleton removal
Sun Dec 21 22:23:59 2014  begin with 4160345 relations and 4649209 unique ideals
Sun Dec 21 22:24:03 2014  reduce to 1651305 relations and 1483152 ideals in 15 passes
Sun Dec 21 22:24:03 2014  max relations containing the same ideal: 108
Sun Dec 21 22:24:04 2014  removing 344229 relations and 272756 ideals in 71473 cliques
Sun Dec 21 22:24:04 2014  commencing in-memory singleton removal
Sun Dec 21 22:24:04 2014  begin with 1307076 relations and 1483152 unique ideals
Sun Dec 21 22:24:06 2014  reduce to 1251893 relations and 1152215 ideals in 11 passes
Sun Dec 21 22:24:06 2014  max relations containing the same ideal: 90
Sun Dec 21 22:24:07 2014  removing 275949 relations and 204476 ideals in 71473 cliques
Sun Dec 21 22:24:07 2014  commencing in-memory singleton removal
Sun Dec 21 22:24:07 2014  begin with 975944 relations and 1152215 unique ideals
Sun Dec 21 22:24:08 2014  reduce to 931756 relations and 901005 ideals in 8 passes
Sun Dec 21 22:24:08 2014  max relations containing the same ideal: 70
Sun Dec 21 22:24:09 2014  relations with 0 large ideals: 504
Sun Dec 21 22:24:09 2014  relations with 1 large ideals: 142
Sun Dec 21 22:24:09 2014  relations with 2 large ideals: 2456
Sun Dec 21 22:24:09 2014  relations with 3 large ideals: 19267
Sun Dec 21 22:24:09 2014  relations with 4 large ideals: 81221
Sun Dec 21 22:24:09 2014  relations with 5 large ideals: 193656
Sun Dec 21 22:24:09 2014  relations with 6 large ideals: 280713
Sun Dec 21 22:24:09 2014  relations with 7+ large ideals: 353797
Sun Dec 21 22:24:09 2014  commencing 2-way merge
Sun Dec 21 22:24:09 2014  reduce to 571849 relation sets and 541098 unique ideals
Sun Dec 21 22:24:09 2014  commencing full merge
Sun Dec 21 22:24:23 2014  memory use: 72.6 MB
Sun Dec 21 22:24:23 2014  found 285392 cycles, need 277298
Sun Dec 21 22:24:23 2014  weight of 277298 cycles is about 19802659 (71.41/cycle)
Sun Dec 21 22:24:23 2014  distribution of cycle lengths:
Sun Dec 21 22:24:23 2014  1 relations: 23172
Sun Dec 21 22:24:23 2014  2 relations: 26797
Sun Dec 21 22:24:23 2014  3 relations: 28061
Sun Dec 21 22:24:23 2014  4 relations: 27393
Sun Dec 21 22:24:23 2014  5 relations: 26131
Sun Dec 21 22:24:23 2014  6 relations: 23927
Sun Dec 21 22:24:23 2014  7 relations: 21761
Sun Dec 21 22:24:23 2014  8 relations: 19368
Sun Dec 21 22:24:23 2014  9 relations: 16625
Sun Dec 21 22:24:23 2014  10+ relations: 64063
Sun Dec 21 22:24:23 2014  heaviest cycle: 21 relations
Sun Dec 21 22:24:23 2014  commencing cycle optimization
Sun Dec 21 22:24:24 2014  start with 1810373 relations
Sun Dec 21 22:24:28 2014  pruned 55262 relations
Sun Dec 21 22:24:28 2014  memory use: 55.7 MB
Sun Dec 21 22:24:28 2014  distribution of cycle lengths:
Sun Dec 21 22:24:28 2014  1 relations: 23172
Sun Dec 21 22:24:28 2014  2 relations: 27356
Sun Dec 21 22:24:28 2014  3 relations: 29155
Sun Dec 21 22:24:28 2014  4 relations: 28275
Sun Dec 21 22:24:28 2014  5 relations: 27023
Sun Dec 21 22:24:28 2014  6 relations: 24644
Sun Dec 21 22:24:28 2014  7 relations: 22306
Sun Dec 21 22:24:28 2014  8 relations: 19737
Sun Dec 21 22:24:28 2014  9 relations: 16891
Sun Dec 21 22:24:28 2014  10+ relations: 58739
Sun Dec 21 22:24:28 2014  heaviest cycle: 21 relations
Sun Dec 21 22:24:29 2014  RelProcTime: 115
Sun Dec 21 22:24:29 2014  
Sun Dec 21 22:24:29 2014  commencing linear algebra
Sun Dec 21 22:24:29 2014  read 277298 cycles
Sun Dec 21 22:24:29 2014  cycles contain 885461 unique relations
Sun Dec 21 22:24:39 2014  read 885461 relations
Sun Dec 21 22:24:40 2014  using 20 quadratic characters above 67107390
Sun Dec 21 22:24:44 2014  building initial matrix
Sun Dec 21 22:24:57 2014  memory use: 106.8 MB
Sun Dec 21 22:24:58 2014  read 277298 cycles
Sun Dec 21 22:24:58 2014  matrix is 277117 x 277298 (83.5 MB) with weight 25136311 (90.65/col)
Sun Dec 21 22:24:58 2014  sparse part has weight 18830818 (67.91/col)
Sun Dec 21 22:25:00 2014  filtering completed in 2 passes
Sun Dec 21 22:25:00 2014  matrix is 276947 x 277128 (83.4 MB) with weight 25128298 (90.67/col)
Sun Dec 21 22:25:00 2014  sparse part has weight 18826800 (67.94/col)
Sun Dec 21 22:25:01 2014  matrix starts at (0, 0)
Sun Dec 21 22:25:01 2014  matrix is 276947 x 277128 (83.4 MB) with weight 25128298 (90.67/col)
Sun Dec 21 22:25:01 2014  sparse part has weight 18826800 (67.94/col)
Sun Dec 21 22:25:01 2014  saving the first 48 matrix rows for later
Sun Dec 21 22:25:01 2014  matrix includes 64 packed rows
Sun Dec 21 22:25:01 2014  matrix is 276899 x 277128 (78.7 MB) with weight 19827517 (71.55/col)
Sun Dec 21 22:25:01 2014  sparse part has weight 17857469 (64.44/col)
Sun Dec 21 22:25:01 2014  using block size 65536 for processor cache size 8192 kB
Sun Dec 21 22:25:02 2014  commencing Lanczos iteration (8 threads)
Sun Dec 21 22:25:02 2014  memory use: 75.1 MB
Sun Dec 21 22:25:21 2014  linear algebra at 4.4%, ETA 0h 6m
Sun Dec 21 22:31:11 2014  lanczos halted after 4381 iterations (dim = 276898)
Sun Dec 21 22:31:11 2014  recovered 38 nontrivial dependencies
Sun Dec 21 22:31:11 2014  BLanczosTime: 402
Sun Dec 21 22:31:11 2014  
Sun Dec 21 22:31:11 2014  commencing square root phase
Sun Dec 21 22:31:11 2014  reading relations for dependency 1
Sun Dec 21 22:31:12 2014  read 138544 cycles
Sun Dec 21 22:31:12 2014  cycles contain 443164 unique relations
Sun Dec 21 22:31:19 2014  read 443164 relations
Sun Dec 21 22:31:21 2014  multiplying 443164 relations
Sun Dec 21 22:31:42 2014  multiply complete, coefficients have about 15.49 million bits
Sun Dec 21 22:31:43 2014  initial square root is modulo 798947951
Sun Dec 21 22:32:10 2014  Newton iteration failed to converge
Sun Dec 21 22:32:10 2014  algebraic square root failed
Sun Dec 21 22:32:10 2014  reading relations for dependency 2
Sun Dec 21 22:32:11 2014  read 138508 cycles
Sun Dec 21 22:32:11 2014  cycles contain 442264 unique relations
Sun Dec 21 22:32:18 2014  read 442264 relations
Sun Dec 21 22:32:20 2014  multiplying 442264 relations
Sun Dec 21 22:32:41 2014  multiply complete, coefficients have about 15.46 million bits
Sun Dec 21 22:32:41 2014  initial square root is modulo 765304361
Sun Dec 21 22:33:10 2014  Newton iteration failed to converge
Sun Dec 21 22:33:10 2014  algebraic square root failed
Sun Dec 21 22:33:10 2014  reading relations for dependency 3
Sun Dec 21 22:33:10 2014  read 138543 cycles
Sun Dec 21 22:33:10 2014  cycles contain 442854 unique relations
Sun Dec 21 22:33:17 2014  read 442854 relations
Sun Dec 21 22:33:19 2014  multiplying 442854 relations
Sun Dec 21 22:33:41 2014  multiply complete, coefficients have about 15.48 million bits
Sun Dec 21 22:33:41 2014  initial square root is modulo 785501191
Sun Dec 21 22:34:09 2014  sqrtTime: 178
--
n: 66403087434004601658970539399231466500066390689977977855980489533311516397600782150924667928888436279449043272731
m: 10000000000000000000000000000
deg: 5
c5: 97000
c0: -1
skew: 0.10
# Murphy_E = 1.892e-09
type: snfs
lss: 1
rlim: 1830000
alim: 1830000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
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
3025e40--
351e6118 / 904Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)

97×10145-13

c123

name 名前Cyp
date 日付December 22, 2014 09:41:01 UTC 2014 年 12 月 22 日 (月) 18 時 41 分 1 秒 (日本時間)
composite number 合成数
781701234379427362275312012881900189792448566726902592020782717185865201202263310987739450990660714827935770616894400590277<123>
prime factors 素因数
50108149991361174607064585751763701976657<41>
15600281281871221914001537861888732194479544278839614038415101292894239849917860661<83>
factorization results 素因数分解の結果
12/22/14 09:06:37 v1.34.3, 
12/22/14 09:06:37 v1.34.3, ****************************
12/22/14 09:06:37 v1.34.3, Starting factorization of 781701234379427362275312012881900189792448566726902592020782717185865201202263310987739450990660714827935770616894400590277
12/22/14 09:06:37 v1.34.3, using pretesting plan: none
12/22/14 09:06:37 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/22/14 09:06:37 v1.34.3, ****************************
12/22/14 09:06:37 v1.34.3, nfs: commencing nfs on c123: 781701234379427362275312012881900189792448566726902592020782717185865201202263310987739450990660714827935770616894400590277
12/22/14 09:06:37 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/22/14 09:06:37 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/22/14 09:08:09 v1.34.3, nfs: commencing lattice sieving with 8 threads
[52 lines snipped]
12/22/14 10:30:31 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/22/14 10:32:10 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/22/14 10:33:51 v1.34.3, nfs: commencing msieve filtering
12/22/14 10:35:21 v1.34.3, nfs: commencing msieve linear algebra
12/22/14 10:40:23 v1.34.3, nfs: commencing msieve sqrt
12/22/14 10:41:00 v1.34.3, prp83 = 15600281281871221914001537861888732194479544278839614038415101292894239849917860661
12/22/14 10:41:00 v1.34.3, prp41 = 50108149991361174607064585751763701976657
12/22/14 10:41:00 v1.34.3, NFS elapsed time = 5663.5263 seconds.
12/22/14 10:41:00 v1.34.3, 
12/22/14 10:41:00 v1.34.3, 
12/22/14 10:41:00 v1.34.3, Total factoring time = 5663.5275 seconds
--
Mon Dec 22 10:33:51 2014  
Mon Dec 22 10:33:51 2014  commencing relation filtering
Mon Dec 22 10:33:51 2014  estimated available RAM is 15987.3 MB
Mon Dec 22 10:33:51 2014  commencing duplicate removal, pass 1
Mon Dec 22 10:34:13 2014  found 623456 hash collisions in 4540022 relations
Mon Dec 22 10:34:21 2014  added 184326 free relations
Mon Dec 22 10:34:21 2014  commencing duplicate removal, pass 2
Mon Dec 22 10:34:27 2014  found 454150 duplicates and 4270198 unique relations
Mon Dec 22 10:34:27 2014  memory use: 20.6 MB
Mon Dec 22 10:34:27 2014  reading ideals above 100000
Mon Dec 22 10:34:27 2014  commencing singleton removal, initial pass
Mon Dec 22 10:34:59 2014  memory use: 94.1 MB
Mon Dec 22 10:34:59 2014  reading all ideals from disk
Mon Dec 22 10:34:59 2014  memory use: 137.6 MB
Mon Dec 22 10:34:59 2014  keeping 4746117 ideals with weight <= 200, target excess is 21699
Mon Dec 22 10:35:00 2014  commencing in-memory singleton removal
Mon Dec 22 10:35:00 2014  begin with 4270198 relations and 4746117 unique ideals
Mon Dec 22 10:35:03 2014  reduce to 1711960 relations and 1532882 ideals in 17 passes
Mon Dec 22 10:35:03 2014  max relations containing the same ideal: 113
Mon Dec 22 10:35:04 2014  removing 367607 relations and 290653 ideals in 76954 cliques
Mon Dec 22 10:35:04 2014  commencing in-memory singleton removal
Mon Dec 22 10:35:04 2014  begin with 1344353 relations and 1532882 unique ideals
Mon Dec 22 10:35:05 2014  reduce to 1282669 relations and 1177081 ideals in 11 passes
Mon Dec 22 10:35:05 2014  max relations containing the same ideal: 89
Mon Dec 22 10:35:05 2014  removing 294466 relations and 217512 ideals in 76954 cliques
Mon Dec 22 10:35:06 2014  commencing in-memory singleton removal
Mon Dec 22 10:35:06 2014  begin with 988203 relations and 1177081 unique ideals
Mon Dec 22 10:35:06 2014  reduce to 937948 relations and 906340 ideals in 9 passes
Mon Dec 22 10:35:06 2014  max relations containing the same ideal: 70
Mon Dec 22 10:35:07 2014  relations with 0 large ideals: 485
Mon Dec 22 10:35:07 2014  relations with 1 large ideals: 154
Mon Dec 22 10:35:07 2014  relations with 2 large ideals: 2452
Mon Dec 22 10:35:07 2014  relations with 3 large ideals: 20287
Mon Dec 22 10:35:07 2014  relations with 4 large ideals: 83411
Mon Dec 22 10:35:07 2014  relations with 5 large ideals: 196902
Mon Dec 22 10:35:07 2014  relations with 6 large ideals: 281942
Mon Dec 22 10:35:07 2014  relations with 7+ large ideals: 352315
Mon Dec 22 10:35:07 2014  commencing 2-way merge
Mon Dec 22 10:35:07 2014  reduce to 572004 relation sets and 540396 unique ideals
Mon Dec 22 10:35:07 2014  commencing full merge
Mon Dec 22 10:35:17 2014  memory use: 72.2 MB
Mon Dec 22 10:35:17 2014  found 283429 cycles, need 274596
Mon Dec 22 10:35:17 2014  weight of 274596 cycles is about 19349275 (70.46/cycle)
Mon Dec 22 10:35:17 2014  distribution of cycle lengths:
Mon Dec 22 10:35:17 2014  1 relations: 23884
Mon Dec 22 10:35:17 2014  2 relations: 26348
Mon Dec 22 10:35:17 2014  3 relations: 27427
Mon Dec 22 10:35:17 2014  4 relations: 26680
Mon Dec 22 10:35:17 2014  5 relations: 25260
Mon Dec 22 10:35:17 2014  6 relations: 23490
Mon Dec 22 10:35:17 2014  7 relations: 21710
Mon Dec 22 10:35:17 2014  8 relations: 19124
Mon Dec 22 10:35:17 2014  9 relations: 16645
Mon Dec 22 10:35:17 2014  10+ relations: 64028
Mon Dec 22 10:35:17 2014  heaviest cycle: 21 relations
Mon Dec 22 10:35:17 2014  commencing cycle optimization
Mon Dec 22 10:35:17 2014  start with 1795104 relations
Mon Dec 22 10:35:20 2014  pruned 53354 relations
Mon Dec 22 10:35:20 2014  memory use: 55.5 MB
Mon Dec 22 10:35:20 2014  distribution of cycle lengths:
Mon Dec 22 10:35:20 2014  1 relations: 23884
Mon Dec 22 10:35:20 2014  2 relations: 26872
Mon Dec 22 10:35:20 2014  3 relations: 28422
Mon Dec 22 10:35:20 2014  4 relations: 27501
Mon Dec 22 10:35:20 2014  5 relations: 26101
Mon Dec 22 10:35:20 2014  6 relations: 24213
Mon Dec 22 10:35:20 2014  7 relations: 22425
Mon Dec 22 10:35:20 2014  8 relations: 19531
Mon Dec 22 10:35:20 2014  9 relations: 16766
Mon Dec 22 10:35:20 2014  10+ relations: 58881
Mon Dec 22 10:35:20 2014  heaviest cycle: 20 relations
Mon Dec 22 10:35:21 2014  RelProcTime: 90
Mon Dec 22 10:35:21 2014  
Mon Dec 22 10:35:21 2014  commencing linear algebra
Mon Dec 22 10:35:21 2014  read 274596 cycles
Mon Dec 22 10:35:21 2014  cycles contain 885639 unique relations
Mon Dec 22 10:35:29 2014  read 885639 relations
Mon Dec 22 10:35:30 2014  using 20 quadratic characters above 67107464
Mon Dec 22 10:35:34 2014  building initial matrix
Mon Dec 22 10:35:44 2014  memory use: 105.8 MB
Mon Dec 22 10:35:44 2014  read 274596 cycles
Mon Dec 22 10:35:44 2014  matrix is 274415 x 274596 (81.7 MB) with weight 24675213 (89.86/col)
Mon Dec 22 10:35:44 2014  sparse part has weight 18404648 (67.02/col)
Mon Dec 22 10:35:46 2014  filtering completed in 2 passes
Mon Dec 22 10:35:46 2014  matrix is 274170 x 274351 (81.7 MB) with weight 24663748 (89.90/col)
Mon Dec 22 10:35:46 2014  sparse part has weight 18399058 (67.06/col)
Mon Dec 22 10:35:46 2014  matrix starts at (0, 0)
Mon Dec 22 10:35:46 2014  matrix is 274170 x 274351 (81.7 MB) with weight 24663748 (89.90/col)
Mon Dec 22 10:35:46 2014  sparse part has weight 18399058 (67.06/col)
Mon Dec 22 10:35:46 2014  saving the first 48 matrix rows for later
Mon Dec 22 10:35:46 2014  matrix includes 64 packed rows
Mon Dec 22 10:35:46 2014  matrix is 274122 x 274351 (76.8 MB) with weight 19364753 (70.58/col)
Mon Dec 22 10:35:46 2014  sparse part has weight 17396386 (63.41/col)
Mon Dec 22 10:35:46 2014  using block size 65536 for processor cache size 8192 kB
Mon Dec 22 10:35:47 2014  commencing Lanczos iteration (8 threads)
Mon Dec 22 10:35:47 2014  memory use: 73.7 MB
Mon Dec 22 10:36:02 2014  linear algebra at 4.4%, ETA 0h 5m
Mon Dec 22 10:40:23 2014  lanczos halted after 4336 iterations (dim = 274122)
Mon Dec 22 10:40:23 2014  recovered 37 nontrivial dependencies
Mon Dec 22 10:40:23 2014  BLanczosTime: 302
Mon Dec 22 10:40:23 2014  
Mon Dec 22 10:40:23 2014  commencing square root phase
Mon Dec 22 10:40:23 2014  reading relations for dependency 1
Mon Dec 22 10:40:23 2014  read 137240 cycles
Mon Dec 22 10:40:23 2014  cycles contain 442386 unique relations
Mon Dec 22 10:40:29 2014  read 442386 relations
Mon Dec 22 10:40:31 2014  multiplying 442386 relations
Mon Dec 22 10:40:43 2014  multiply complete, coefficients have about 11.50 million bits
Mon Dec 22 10:40:43 2014  initial square root is modulo 4061671
Mon Dec 22 10:41:00 2014  sqrtTime: 37
--
n: 781701234379427362275312012881900189792448566726902592020782717185865201202263310987739450990660714827935770616894400590277
m: 100000000000000000000000000000
deg: 5
c5: 97
c0: -1
skew: 0.40
# Murphy_E = 2.067e-09
type: snfs
lss: 1
rlim: 1970000
alim: 1970000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
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
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:19:54 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 54 秒 (日本時間)

97×10146-13

c126

name 名前Cyp
date 日付December 22, 2014 11:19:12 UTC 2014 年 12 月 22 日 (月) 20 時 19 分 12 秒 (日本時間)
composite number 合成数
724194324718796360920424650996449015903829109220390442864775616393652420428438781411094042190201795309274442141545070866577767<126>
prime factors 素因数
3945918559379580598670448058717689667031359808294240257<55>
183529972507253651121832602673830618093593654850118340123357538036611431<72>
factorization results 素因数分解の結果
12/22/14 10:41:11 v1.34.3, 
12/22/14 10:41:11 v1.34.3, ****************************
12/22/14 10:41:11 v1.34.3, Starting factorization of 724194324718796360920424650996449015903829109220390442864775616393652420428438781411094042190201795309274442141545070866577767
12/22/14 10:41:11 v1.34.3, using pretesting plan: none
12/22/14 10:41:11 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/22/14 10:41:11 v1.34.3, ****************************
12/22/14 10:41:11 v1.34.3, nfs: commencing nfs on c126: 724194324718796360920424650996449015903829109220390442864775616393652420428438781411094042190201795309274442141545070866577767
12/22/14 10:41:11 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/22/14 10:41:11 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/22/14 10:42:45 v1.34.3, nfs: commencing lattice sieving with 8 threads
[61 lines snipped]
12/22/14 12:11:09 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/22/14 12:12:24 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/22/14 12:13:36 v1.34.3, nfs: commencing msieve filtering
12/22/14 12:15:01 v1.34.3, nfs: commencing msieve linear algebra
12/22/14 12:18:40 v1.34.3, nfs: commencing msieve sqrt
12/22/14 12:19:11 v1.34.3, prp55 = 3945918559379580598670448058717689667031359808294240257
12/22/14 12:19:12 v1.34.3, prp72 = 183529972507253651121832602673830618093593654850118340123357538036611431
12/22/14 12:19:12 v1.34.3, NFS elapsed time = 5880.4397 seconds.
12/22/14 12:19:12 v1.34.3, 
12/22/14 12:19:12 v1.34.3, 
12/22/14 12:19:12 v1.34.3, Total factoring time = 5880.4407 seconds
--
Mon Dec 22 12:13:36 2014  
Mon Dec 22 12:13:36 2014  commencing relation filtering
Mon Dec 22 12:13:36 2014  estimated available RAM is 15987.3 MB
Mon Dec 22 12:13:36 2014  commencing duplicate removal, pass 1
Mon Dec 22 12:13:55 2014  found 650458 hash collisions in 4514974 relations
Mon Dec 22 12:14:01 2014  added 183257 free relations
Mon Dec 22 12:14:01 2014  commencing duplicate removal, pass 2
Mon Dec 22 12:14:06 2014  found 493863 duplicates and 4204368 unique relations
Mon Dec 22 12:14:06 2014  memory use: 20.6 MB
Mon Dec 22 12:14:06 2014  reading ideals above 100000
Mon Dec 22 12:14:06 2014  commencing singleton removal, initial pass
Mon Dec 22 12:14:36 2014  memory use: 94.1 MB
Mon Dec 22 12:14:36 2014  reading all ideals from disk
Mon Dec 22 12:14:36 2014  memory use: 136.5 MB
Mon Dec 22 12:14:36 2014  keeping 4746823 ideals with weight <= 200, target excess is 21814
Mon Dec 22 12:14:37 2014  commencing in-memory singleton removal
Mon Dec 22 12:14:37 2014  begin with 4204368 relations and 4746823 unique ideals
Mon Dec 22 12:14:40 2014  reduce to 1621834 relations and 1496720 ideals in 13 passes
Mon Dec 22 12:14:40 2014  max relations containing the same ideal: 106
Mon Dec 22 12:14:41 2014  removing 287349 relations and 237444 ideals in 49905 cliques
Mon Dec 22 12:14:41 2014  commencing in-memory singleton removal
Mon Dec 22 12:14:41 2014  begin with 1334485 relations and 1496720 unique ideals
Mon Dec 22 12:14:42 2014  reduce to 1294761 relations and 1218047 ideals in 7 passes
Mon Dec 22 12:14:42 2014  max relations containing the same ideal: 90
Mon Dec 22 12:14:42 2014  removing 224969 relations and 175064 ideals in 49905 cliques
Mon Dec 22 12:14:42 2014  commencing in-memory singleton removal
Mon Dec 22 12:14:42 2014  begin with 1069792 relations and 1218047 unique ideals
Mon Dec 22 12:14:43 2014  reduce to 1040056 relations and 1012155 ideals in 9 passes
Mon Dec 22 12:14:43 2014  max relations containing the same ideal: 79
Mon Dec 22 12:14:44 2014  relations with 0 large ideals: 529
Mon Dec 22 12:14:44 2014  relations with 1 large ideals: 115
Mon Dec 22 12:14:44 2014  relations with 2 large ideals: 2158
Mon Dec 22 12:14:44 2014  relations with 3 large ideals: 18246
Mon Dec 22 12:14:44 2014  relations with 4 large ideals: 80203
Mon Dec 22 12:14:44 2014  relations with 5 large ideals: 201030
Mon Dec 22 12:14:44 2014  relations with 6 large ideals: 309033
Mon Dec 22 12:14:44 2014  relations with 7+ large ideals: 428742
Mon Dec 22 12:14:44 2014  commencing 2-way merge
Mon Dec 22 12:14:45 2014  reduce to 630848 relation sets and 602947 unique ideals
Mon Dec 22 12:14:45 2014  commencing full merge
Mon Dec 22 12:14:57 2014  memory use: 79.3 MB
Mon Dec 22 12:14:57 2014  found 316394 cycles, need 311147
Mon Dec 22 12:14:57 2014  weight of 311147 cycles is about 21951714 (70.55/cycle)
Mon Dec 22 12:14:57 2014  distribution of cycle lengths:
Mon Dec 22 12:14:57 2014  1 relations: 30814
Mon Dec 22 12:14:57 2014  2 relations: 32302
Mon Dec 22 12:14:57 2014  3 relations: 32459
Mon Dec 22 12:14:57 2014  4 relations: 30387
Mon Dec 22 12:14:57 2014  5 relations: 28311
Mon Dec 22 12:14:57 2014  6 relations: 26404
Mon Dec 22 12:14:57 2014  7 relations: 23239
Mon Dec 22 12:14:57 2014  8 relations: 20383
Mon Dec 22 12:14:57 2014  9 relations: 17607
Mon Dec 22 12:14:57 2014  10+ relations: 69241
Mon Dec 22 12:14:57 2014  heaviest cycle: 22 relations
Mon Dec 22 12:14:57 2014  commencing cycle optimization
Mon Dec 22 12:14:57 2014  start with 1987619 relations
Mon Dec 22 12:15:01 2014  pruned 55591 relations
Mon Dec 22 12:15:01 2014  memory use: 62.3 MB
Mon Dec 22 12:15:01 2014  distribution of cycle lengths:
Mon Dec 22 12:15:01 2014  1 relations: 30814
Mon Dec 22 12:15:01 2014  2 relations: 32973
Mon Dec 22 12:15:01 2014  3 relations: 33496
Mon Dec 22 12:15:01 2014  4 relations: 31244
Mon Dec 22 12:15:01 2014  5 relations: 29353
Mon Dec 22 12:15:01 2014  6 relations: 26917
Mon Dec 22 12:15:01 2014  7 relations: 23811
Mon Dec 22 12:15:01 2014  8 relations: 20554
Mon Dec 22 12:15:01 2014  9 relations: 17712
Mon Dec 22 12:15:01 2014  10+ relations: 64273
Mon Dec 22 12:15:01 2014  heaviest cycle: 22 relations
Mon Dec 22 12:15:01 2014  RelProcTime: 85
Mon Dec 22 12:15:01 2014  
Mon Dec 22 12:15:01 2014  commencing linear algebra
Mon Dec 22 12:15:01 2014  read 311147 cycles
Mon Dec 22 12:15:02 2014  cycles contain 1005335 unique relations
Mon Dec 22 12:15:09 2014  read 1005335 relations
Mon Dec 22 12:15:10 2014  using 20 quadratic characters above 67108128
Mon Dec 22 12:15:13 2014  building initial matrix
Mon Dec 22 12:15:24 2014  memory use: 119.8 MB
Mon Dec 22 12:15:24 2014  read 311147 cycles
Mon Dec 22 12:15:24 2014  matrix is 311004 x 311147 (92.9 MB) with weight 27873110 (89.58/col)
Mon Dec 22 12:15:24 2014  sparse part has weight 20930981 (67.27/col)
Mon Dec 22 12:15:27 2014  filtering completed in 2 passes
Mon Dec 22 12:15:27 2014  matrix is 310812 x 310977 (92.9 MB) with weight 27865763 (89.61/col)
Mon Dec 22 12:15:27 2014  sparse part has weight 20927601 (67.30/col)
Mon Dec 22 12:15:27 2014  matrix starts at (0, 0)
Mon Dec 22 12:15:27 2014  matrix is 310812 x 310977 (92.9 MB) with weight 27865763 (89.61/col)
Mon Dec 22 12:15:27 2014  sparse part has weight 20927601 (67.30/col)
Mon Dec 22 12:15:27 2014  saving the first 48 matrix rows for later
Mon Dec 22 12:15:28 2014  matrix includes 64 packed rows
Mon Dec 22 12:15:28 2014  matrix is 310764 x 310977 (87.7 MB) with weight 22006753 (70.77/col)
Mon Dec 22 12:15:28 2014  sparse part has weight 19878714 (63.92/col)
Mon Dec 22 12:15:28 2014  using block size 65536 for processor cache size 8192 kB
Mon Dec 22 12:15:29 2014  commencing Lanczos iteration (8 threads)
Mon Dec 22 12:15:29 2014  memory use: 83.9 MB
Mon Dec 22 12:15:40 2014  linear algebra at 3.9%, ETA 0h 4m
Mon Dec 22 12:18:40 2014  lanczos halted after 4914 iterations (dim = 310756)
Mon Dec 22 12:18:40 2014  recovered 37 nontrivial dependencies
Mon Dec 22 12:18:40 2014  BLanczosTime: 219
Mon Dec 22 12:18:40 2014  
Mon Dec 22 12:18:40 2014  commencing square root phase
Mon Dec 22 12:18:40 2014  reading relations for dependency 1
Mon Dec 22 12:18:40 2014  read 155322 cycles
Mon Dec 22 12:18:40 2014  cycles contain 502238 unique relations
Mon Dec 22 12:18:44 2014  read 502238 relations
Mon Dec 22 12:18:45 2014  multiplying 502238 relations
Mon Dec 22 12:18:53 2014  multiply complete, coefficients have about 14.59 million bits
Mon Dec 22 12:18:53 2014  initial square root is modulo 241246231
Mon Dec 22 12:19:11 2014  sqrtTime: 31
--
n: 724194324718796360920424650996449015903829109220390442864775616393652420428438781411094042190201795309274442141545070866577767
m: 100000000000000000000000000000
deg: 5
c5: 970
c0: -1
skew: 0.25
# Murphy_E = 1.745e-09
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
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
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:19:54 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 54 秒 (日本時間)

97×10148-13

c146

name 名前Cyp
date 日付December 22, 2014 20:01:54 UTC 2014 年 12 月 23 日 (火) 5 時 1 分 54 秒 (日本時間)
composite number 合成数
29530855177032910159223064511218680549213017931622370383901117301427832069899838645842847139769233111090814990714524918561816908697902395957012817<146>
prime factors 素因数
266075290275833325080155009947189393945601494506591390995457<60>
110986838148025852204164093539176104273592791924709516822837287719614292205206017414481<87>
factorization results 素因数分解の結果
12/22/14 18:30:56 v1.34.3, 
12/22/14 18:30:56 v1.34.3, ****************************
12/22/14 18:30:56 v1.34.3, Starting factorization of 29530855177032910159223064511218680549213017931622370383901117301427832069899838645842847139769233111090814990714524918561816908697902395957012817
12/22/14 18:30:56 v1.34.3, using pretesting plan: none
12/22/14 18:30:56 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/22/14 18:30:56 v1.34.3, ****************************
12/22/14 18:30:56 v1.34.3, nfs: commencing nfs on c146: 29530855177032910159223064511218680549213017931622370383901117301427832069899838645842847139769233111090814990714524918561816908697902395957012817
12/22/14 18:30:56 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/22/14 18:30:56 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/22/14 18:35:14 v1.34.3, nfs: commencing lattice sieving with 8 threads
[16 lines snipped]
12/22/14 20:31:20 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/22/14 20:39:44 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/22/14 20:48:11 v1.34.3, nfs: commencing msieve filtering
12/22/14 20:50:17 v1.34.3, nfs: commencing msieve linear algebra
12/22/14 20:59:47 v1.34.3, nfs: commencing msieve sqrt
12/22/14 21:01:53 v1.34.3, prp87 = 110986838148025852204164093539176104273592791924709516822837287719614292205206017414481
12/22/14 21:01:53 v1.34.3, prp60 = 266075290275833325080155009947189393945601494506591390995457
12/22/14 21:01:53 v1.34.3, NFS elapsed time = 9057.4911 seconds.
12/22/14 21:01:53 v1.34.3, 
12/22/14 21:01:53 v1.34.3, 
12/22/14 21:01:53 v1.34.3, Total factoring time = 9057.4926 seconds
--
Mon Dec 22 20:48:11 2014  
Mon Dec 22 20:48:11 2014  commencing relation filtering
Mon Dec 22 20:48:11 2014  estimated available RAM is 15987.3 MB
Mon Dec 22 20:48:11 2014  commencing duplicate removal, pass 1
Mon Dec 22 20:48:40 2014  found 543629 hash collisions in 4504271 relations
Mon Dec 22 20:48:50 2014  added 186443 free relations
Mon Dec 22 20:48:50 2014  commencing duplicate removal, pass 2
Mon Dec 22 20:48:57 2014  found 350631 duplicates and 4340083 unique relations
Mon Dec 22 20:48:57 2014  memory use: 20.6 MB
Mon Dec 22 20:48:57 2014  reading ideals above 100000
Mon Dec 22 20:48:57 2014  commencing singleton removal, initial pass
Mon Dec 22 20:49:43 2014  memory use: 94.1 MB
Mon Dec 22 20:49:43 2014  reading all ideals from disk
Mon Dec 22 20:49:43 2014  memory use: 145.2 MB
Mon Dec 22 20:49:43 2014  keeping 4840028 ideals with weight <= 200, target excess is 23661
Mon Dec 22 20:49:44 2014  commencing in-memory singleton removal
Mon Dec 22 20:49:45 2014  begin with 4340083 relations and 4840028 unique ideals
Mon Dec 22 20:49:49 2014  reduce to 1752999 relations and 1610521 ideals in 13 passes
Mon Dec 22 20:49:49 2014  max relations containing the same ideal: 109
Mon Dec 22 20:49:50 2014  removing 316167 relations and 258651 ideals in 57516 cliques
Mon Dec 22 20:49:50 2014  commencing in-memory singleton removal
Mon Dec 22 20:49:50 2014  begin with 1436832 relations and 1610521 unique ideals
Mon Dec 22 20:49:52 2014  reduce to 1391443 relations and 1304718 ideals in 9 passes
Mon Dec 22 20:49:52 2014  max relations containing the same ideal: 94
Mon Dec 22 20:49:53 2014  removing 250906 relations and 193390 ideals in 57516 cliques
Mon Dec 22 20:49:53 2014  commencing in-memory singleton removal
Mon Dec 22 20:49:53 2014  begin with 1140537 relations and 1304718 unique ideals
Mon Dec 22 20:49:55 2014  reduce to 1105079 relations and 1074400 ideals in 8 passes
Mon Dec 22 20:49:55 2014  max relations containing the same ideal: 81
Mon Dec 22 20:49:56 2014  relations with 0 large ideals: 552
Mon Dec 22 20:49:56 2014  relations with 1 large ideals: 96
Mon Dec 22 20:49:56 2014  relations with 2 large ideals: 1636
Mon Dec 22 20:49:56 2014  relations with 3 large ideals: 14890
Mon Dec 22 20:49:56 2014  relations with 4 large ideals: 70434
Mon Dec 22 20:49:56 2014  relations with 5 large ideals: 190940
Mon Dec 22 20:49:56 2014  relations with 6 large ideals: 316707
Mon Dec 22 20:49:56 2014  relations with 7+ large ideals: 509824
Mon Dec 22 20:49:56 2014  commencing 2-way merge
Mon Dec 22 20:49:57 2014  reduce to 669519 relation sets and 638840 unique ideals
Mon Dec 22 20:49:57 2014  commencing full merge
Mon Dec 22 20:50:11 2014  memory use: 82.0 MB
Mon Dec 22 20:50:11 2014  found 333308 cycles, need 327040
Mon Dec 22 20:50:11 2014  weight of 327040 cycles is about 23159676 (70.82/cycle)
Mon Dec 22 20:50:11 2014  distribution of cycle lengths:
Mon Dec 22 20:50:11 2014  1 relations: 32964
Mon Dec 22 20:50:11 2014  2 relations: 32951
Mon Dec 22 20:50:11 2014  3 relations: 34556
Mon Dec 22 20:50:11 2014  4 relations: 32999
Mon Dec 22 20:50:11 2014  5 relations: 30765
Mon Dec 22 20:50:11 2014  6 relations: 28504
Mon Dec 22 20:50:11 2014  7 relations: 25252
Mon Dec 22 20:50:11 2014  8 relations: 21779
Mon Dec 22 20:50:11 2014  9 relations: 18871
Mon Dec 22 20:50:11 2014  10+ relations: 68399
Mon Dec 22 20:50:11 2014  heaviest cycle: 21 relations
Mon Dec 22 20:50:11 2014  commencing cycle optimization
Mon Dec 22 20:50:12 2014  start with 2041514 relations
Mon Dec 22 20:50:17 2014  pruned 54784 relations
Mon Dec 22 20:50:17 2014  memory use: 65.3 MB
Mon Dec 22 20:50:17 2014  distribution of cycle lengths:
Mon Dec 22 20:50:17 2014  1 relations: 32964
Mon Dec 22 20:50:17 2014  2 relations: 33685
Mon Dec 22 20:50:17 2014  3 relations: 35690
Mon Dec 22 20:50:17 2014  4 relations: 33837
Mon Dec 22 20:50:17 2014  5 relations: 31777
Mon Dec 22 20:50:17 2014  6 relations: 29172
Mon Dec 22 20:50:17 2014  7 relations: 25786
Mon Dec 22 20:50:17 2014  8 relations: 21968
Mon Dec 22 20:50:17 2014  9 relations: 18911
Mon Dec 22 20:50:17 2014  10+ relations: 63250
Mon Dec 22 20:50:17 2014  heaviest cycle: 21 relations
Mon Dec 22 20:50:17 2014  RelProcTime: 126
Mon Dec 22 20:50:17 2014  
Mon Dec 22 20:50:17 2014  commencing linear algebra
Mon Dec 22 20:50:17 2014  read 327040 cycles
Mon Dec 22 20:50:18 2014  cycles contain 1065008 unique relations
Mon Dec 22 20:50:28 2014  read 1065008 relations
Mon Dec 22 20:50:30 2014  using 20 quadratic characters above 67103432
Mon Dec 22 20:50:36 2014  building initial matrix
Mon Dec 22 20:50:51 2014  memory use: 133.2 MB
Mon Dec 22 20:50:52 2014  read 327040 cycles
Mon Dec 22 20:50:52 2014  matrix is 326870 x 327040 (98.2 MB) with weight 29471500 (90.12/col)
Mon Dec 22 20:50:52 2014  sparse part has weight 22143997 (67.71/col)
Mon Dec 22 20:50:55 2014  filtering completed in 2 passes
Mon Dec 22 20:50:55 2014  matrix is 326603 x 326778 (98.2 MB) with weight 29461163 (90.16/col)
Mon Dec 22 20:50:55 2014  sparse part has weight 22139711 (67.75/col)
Mon Dec 22 20:50:56 2014  matrix starts at (0, 0)
Mon Dec 22 20:50:56 2014  matrix is 326603 x 326778 (98.2 MB) with weight 29461163 (90.16/col)
Mon Dec 22 20:50:56 2014  sparse part has weight 22139711 (67.75/col)
Mon Dec 22 20:50:56 2014  saving the first 48 matrix rows for later
Mon Dec 22 20:50:56 2014  matrix includes 64 packed rows
Mon Dec 22 20:50:56 2014  matrix is 326555 x 326778 (92.7 MB) with weight 23272475 (71.22/col)
Mon Dec 22 20:50:56 2014  sparse part has weight 21034675 (64.37/col)
Mon Dec 22 20:50:56 2014  using block size 65536 for processor cache size 8192 kB
Mon Dec 22 20:50:58 2014  commencing Lanczos iteration (8 threads)
Mon Dec 22 20:50:58 2014  memory use: 89.1 MB
Mon Dec 22 20:51:19 2014  linear algebra at 3.7%, ETA 0h 9m
Mon Dec 22 20:59:46 2014  lanczos halted after 5167 iterations (dim = 326554)
Mon Dec 22 20:59:47 2014  recovered 36 nontrivial dependencies
Mon Dec 22 20:59:47 2014  BLanczosTime: 570
Mon Dec 22 20:59:47 2014  
Mon Dec 22 20:59:47 2014  commencing square root phase
Mon Dec 22 20:59:47 2014  reading relations for dependency 1
Mon Dec 22 20:59:47 2014  read 163477 cycles
Mon Dec 22 20:59:47 2014  cycles contain 532664 unique relations
Mon Dec 22 20:59:55 2014  read 532664 relations
Mon Dec 22 20:59:58 2014  multiplying 532664 relations
Mon Dec 22 21:00:25 2014  multiply complete, coefficients have about 19.13 million bits
Mon Dec 22 21:00:25 2014  initial square root is modulo 312551
Mon Dec 22 21:00:57 2014  GCD is N, no factor found
Mon Dec 22 21:00:57 2014  reading relations for dependency 2
Mon Dec 22 21:00:57 2014  read 163397 cycles
Mon Dec 22 21:00:57 2014  cycles contain 533284 unique relations
Mon Dec 22 21:01:03 2014  read 533284 relations
Mon Dec 22 21:01:05 2014  multiplying 533284 relations
Mon Dec 22 21:01:23 2014  multiply complete, coefficients have about 19.15 million bits
Mon Dec 22 21:01:23 2014  initial square root is modulo 316861
Mon Dec 22 21:01:53 2014  sqrtTime: 126
--
n: 29530855177032910159223064511218680549213017931622370383901117301427832069899838645842847139769233111090814990714524918561816908697902395957012817
m: 100000000000000000000000000000
deg: 5
c5: 97000
c0: -1
skew: 0.10
# Murphy_E = 1.228e-09
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
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
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:19:55 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 55 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:32 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 32 秒 (日本時間)

97×10152-13

c131

name 名前Cyp
date 日付December 23, 2014 17:42:53 UTC 2014 年 12 月 24 日 (水) 2 時 42 分 53 秒 (日本時間)
composite number 合成数
26208140036547834261351336541071481896075185366695698120656539712116833687005744076744286386481097309092563606986256549083531405489<131>
prime factors 素因数
20711155928615628925512307990595548343019477175501235179<56>
1265411748474032838941388938775921965756180334307766730906034113186170759891<76>
factorization results 素因数分解の結果
12/23/14 14:29:08 v1.34.3, 
12/23/14 14:29:08 v1.34.3, ****************************
12/23/14 14:29:08 v1.34.3, Starting factorization of 26208140036547834261351336541071481896075185366695698120656539712116833687005744076744286386481097309092563606986256549083531405489
12/23/14 14:29:08 v1.34.3, using pretesting plan: none
12/23/14 14:29:08 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/23/14 14:29:08 v1.34.3, ****************************
12/23/14 14:29:08 v1.34.3, nfs: commencing nfs on c131: 26208140036547834261351336541071481896075185366695698120656539712116833687005744076744286386481097309092563606986256549083531405489
12/23/14 14:29:08 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/23/14 14:29:08 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 14:30:30 v1.34.3, nfs: commencing lattice sieving with 8 threads
[131 lines snipped]
12/23/14 18:17:31 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 18:19:36 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 18:21:38 v1.34.3, nfs: commencing msieve filtering
12/23/14 18:25:14 v1.34.3, nfs: commencing msieve linear algebra
12/23/14 18:39:14 v1.34.3, nfs: commencing msieve sqrt
12/23/14 18:42:52 v1.34.3, prp76 = 1265411748474032838941388938775921965756180334307766730906034113186170759891
12/23/14 18:42:52 v1.34.3, prp56 = 20711155928615628925512307990595548343019477175501235179
12/23/14 18:42:52 v1.34.3, NFS elapsed time = 15223.9048 seconds.
12/23/14 18:42:52 v1.34.3, 
12/23/14 18:42:52 v1.34.3, 
12/23/14 18:42:52 v1.34.3, Total factoring time = 15223.9058 seconds
--
Tue Dec 23 18:21:38 2014  
Tue Dec 23 18:21:38 2014  commencing relation filtering
Tue Dec 23 18:21:38 2014  estimated available RAM is 15987.3 MB
Tue Dec 23 18:21:38 2014  commencing duplicate removal, pass 1
Tue Dec 23 18:22:29 2014  found 1648513 hash collisions in 10041741 relations
Tue Dec 23 18:22:40 2014  added 355735 free relations
Tue Dec 23 18:22:40 2014  commencing duplicate removal, pass 2
Tue Dec 23 18:22:50 2014  found 1319686 duplicates and 9077790 unique relations
Tue Dec 23 18:22:50 2014  memory use: 41.3 MB
Tue Dec 23 18:22:50 2014  reading ideals above 100000
Tue Dec 23 18:22:50 2014  commencing singleton removal, initial pass
Tue Dec 23 18:24:19 2014  memory use: 188.2 MB
Tue Dec 23 18:24:19 2014  reading all ideals from disk
Tue Dec 23 18:24:19 2014  memory use: 306.5 MB
Tue Dec 23 18:24:20 2014  keeping 9505842 ideals with weight <= 200, target excess is 46530
Tue Dec 23 18:24:21 2014  commencing in-memory singleton removal
Tue Dec 23 18:24:22 2014  begin with 9077790 relations and 9505842 unique ideals
Tue Dec 23 18:24:32 2014  reduce to 4141774 relations and 3399996 ideals in 12 passes
Tue Dec 23 18:24:32 2014  max relations containing the same ideal: 119
Tue Dec 23 18:24:35 2014  removing 1189685 relations and 845783 ideals in 343902 cliques
Tue Dec 23 18:24:36 2014  commencing in-memory singleton removal
Tue Dec 23 18:24:36 2014  begin with 2952089 relations and 3399996 unique ideals
Tue Dec 23 18:24:40 2014  reduce to 2718939 relations and 2296961 ideals in 8 passes
Tue Dec 23 18:24:40 2014  max relations containing the same ideal: 91
Tue Dec 23 18:24:42 2014  removing 993296 relations and 649394 ideals in 343902 cliques
Tue Dec 23 18:24:42 2014  commencing in-memory singleton removal
Tue Dec 23 18:24:42 2014  begin with 1725643 relations and 2296961 unique ideals
Tue Dec 23 18:24:44 2014  reduce to 1521918 relations and 1417164 ideals in 9 passes
Tue Dec 23 18:24:44 2014  max relations containing the same ideal: 59
Tue Dec 23 18:24:45 2014  removing 213605 relations and 162826 ideals in 50779 cliques
Tue Dec 23 18:24:45 2014  commencing in-memory singleton removal
Tue Dec 23 18:24:46 2014  begin with 1308313 relations and 1417164 unique ideals
Tue Dec 23 18:24:47 2014  reduce to 1285850 relations and 1231076 ideals in 8 passes
Tue Dec 23 18:24:47 2014  max relations containing the same ideal: 56
Tue Dec 23 18:24:48 2014  relations with 0 large ideals: 1089
Tue Dec 23 18:24:48 2014  relations with 1 large ideals: 766
Tue Dec 23 18:24:48 2014  relations with 2 large ideals: 10368
Tue Dec 23 18:24:48 2014  relations with 3 large ideals: 64626
Tue Dec 23 18:24:48 2014  relations with 4 large ideals: 201114
Tue Dec 23 18:24:48 2014  relations with 5 large ideals: 349882
Tue Dec 23 18:24:48 2014  relations with 6 large ideals: 364528
Tue Dec 23 18:24:48 2014  relations with 7+ large ideals: 293477
Tue Dec 23 18:24:48 2014  commencing 2-way merge
Tue Dec 23 18:24:50 2014  reduce to 806145 relation sets and 751371 unique ideals
Tue Dec 23 18:24:50 2014  commencing full merge
Tue Dec 23 18:25:06 2014  memory use: 96.6 MB
Tue Dec 23 18:25:06 2014  found 417415 cycles, need 409571
Tue Dec 23 18:25:07 2014  weight of 409571 cycles is about 28682886 (70.03/cycle)
Tue Dec 23 18:25:07 2014  distribution of cycle lengths:
Tue Dec 23 18:25:07 2014  1 relations: 29133
Tue Dec 23 18:25:07 2014  2 relations: 38770
Tue Dec 23 18:25:07 2014  3 relations: 43435
Tue Dec 23 18:25:07 2014  4 relations: 43890
Tue Dec 23 18:25:07 2014  5 relations: 42692
Tue Dec 23 18:25:07 2014  6 relations: 39967
Tue Dec 23 18:25:07 2014  7 relations: 35446
Tue Dec 23 18:25:07 2014  8 relations: 30927
Tue Dec 23 18:25:07 2014  9 relations: 25888
Tue Dec 23 18:25:07 2014  10+ relations: 79423
Tue Dec 23 18:25:07 2014  heaviest cycle: 20 relations
Tue Dec 23 18:25:07 2014  commencing cycle optimization
Tue Dec 23 18:25:08 2014  start with 2558620 relations
Tue Dec 23 18:25:13 2014  pruned 78353 relations
Tue Dec 23 18:25:13 2014  memory use: 79.2 MB
Tue Dec 23 18:25:13 2014  distribution of cycle lengths:
Tue Dec 23 18:25:13 2014  1 relations: 29133
Tue Dec 23 18:25:13 2014  2 relations: 39585
Tue Dec 23 18:25:13 2014  3 relations: 45097
Tue Dec 23 18:25:13 2014  4 relations: 45325
Tue Dec 23 18:25:13 2014  5 relations: 44391
Tue Dec 23 18:25:13 2014  6 relations: 41233
Tue Dec 23 18:25:13 2014  7 relations: 36544
Tue Dec 23 18:25:13 2014  8 relations: 31282
Tue Dec 23 18:25:13 2014  9 relations: 25965
Tue Dec 23 18:25:13 2014  10+ relations: 71016
Tue Dec 23 18:25:13 2014  heaviest cycle: 20 relations
Tue Dec 23 18:25:14 2014  RelProcTime: 216
Tue Dec 23 18:25:14 2014  
Tue Dec 23 18:25:14 2014  commencing linear algebra
Tue Dec 23 18:25:14 2014  read 409571 cycles
Tue Dec 23 18:25:15 2014  cycles contain 1249686 unique relations
Tue Dec 23 18:25:32 2014  read 1249686 relations
Tue Dec 23 18:25:34 2014  using 20 quadratic characters above 134209214
Tue Dec 23 18:25:40 2014  building initial matrix
Tue Dec 23 18:26:00 2014  memory use: 151.5 MB
Tue Dec 23 18:26:01 2014  read 409571 cycles
Tue Dec 23 18:26:01 2014  matrix is 409394 x 409571 (121.6 MB) with weight 36096364 (88.13/col)
Tue Dec 23 18:26:01 2014  sparse part has weight 27372487 (66.83/col)
Tue Dec 23 18:26:05 2014  filtering completed in 2 passes
Tue Dec 23 18:26:05 2014  matrix is 409308 x 409485 (121.6 MB) with weight 36093319 (88.14/col)
Tue Dec 23 18:26:05 2014  sparse part has weight 27371305 (66.84/col)
Tue Dec 23 18:26:06 2014  matrix starts at (0, 0)
Tue Dec 23 18:26:07 2014  matrix is 409308 x 409485 (121.6 MB) with weight 36093319 (88.14/col)
Tue Dec 23 18:26:07 2014  sparse part has weight 27371305 (66.84/col)
Tue Dec 23 18:26:07 2014  saving the first 48 matrix rows for later
Tue Dec 23 18:26:07 2014  matrix includes 64 packed rows
Tue Dec 23 18:26:07 2014  matrix is 409260 x 409485 (114.7 MB) with weight 28708720 (70.11/col)
Tue Dec 23 18:26:07 2014  sparse part has weight 25978386 (63.44/col)
Tue Dec 23 18:26:07 2014  using block size 65536 for processor cache size 8192 kB
Tue Dec 23 18:26:09 2014  commencing Lanczos iteration (8 threads)
Tue Dec 23 18:26:09 2014  memory use: 110.7 MB
Tue Dec 23 18:26:34 2014  linear algebra at 3.0%, ETA 0h13m
Tue Dec 23 18:39:13 2014  lanczos halted after 6472 iterations (dim = 409255)
Tue Dec 23 18:39:14 2014  recovered 36 nontrivial dependencies
Tue Dec 23 18:39:14 2014  BLanczosTime: 840
Tue Dec 23 18:39:14 2014  
Tue Dec 23 18:39:14 2014  commencing square root phase
Tue Dec 23 18:39:14 2014  reading relations for dependency 1
Tue Dec 23 18:39:14 2014  read 204266 cycles
Tue Dec 23 18:39:14 2014  cycles contain 623992 unique relations
Tue Dec 23 18:39:22 2014  read 623992 relations
Tue Dec 23 18:39:23 2014  multiplying 623992 relations
Tue Dec 23 18:39:36 2014  multiply complete, coefficients have about 20.20 million bits
Tue Dec 23 18:39:36 2014  initial square root is modulo 634331
Tue Dec 23 18:40:04 2014  GCD is N, no factor found
Tue Dec 23 18:40:04 2014  reading relations for dependency 2
Tue Dec 23 18:40:04 2014  read 204343 cycles
Tue Dec 23 18:40:04 2014  cycles contain 624186 unique relations
Tue Dec 23 18:40:18 2014  read 624186 relations
Tue Dec 23 18:40:21 2014  multiplying 624186 relations
Tue Dec 23 18:40:50 2014  multiply complete, coefficients have about 20.21 million bits
Tue Dec 23 18:40:50 2014  initial square root is modulo 636421
Tue Dec 23 18:41:28 2014  GCD is 1, no factor found
Tue Dec 23 18:41:28 2014  reading relations for dependency 3
Tue Dec 23 18:41:28 2014  read 204434 cycles
Tue Dec 23 18:41:28 2014  cycles contain 625080 unique relations
Tue Dec 23 18:41:42 2014  read 625080 relations
Tue Dec 23 18:41:46 2014  multiplying 625080 relations
Tue Dec 23 18:42:14 2014  multiply complete, coefficients have about 20.23 million bits
Tue Dec 23 18:42:14 2014  initial square root is modulo 648631
Tue Dec 23 18:42:52 2014  sqrtTime: 218
--
n: 26208140036547834261351336541071481896075185366695698120656539712116833687005744076744286386481097309092563606986256549083531405489
m: 1000000000000000000000000000000
deg: 5
c5: 9700
c0: -1
skew: 0.16
# Murphy_E = 8.657e-10
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
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
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:19:55 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 55 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:33 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 33 秒 (日本時間)

97×10155-13

c135

name 名前Serge Batalov
date 日付December 21, 2014 01:52:19 UTC 2014 年 12 月 21 日 (日) 10 時 52 分 19 秒 (日本時間)
composite number 合成数
237722820491720255289608452959492865035181999576664525554733749897423342775648834005644711413583971201401179384773160367632600020781583<135>
prime factors 素因数
3312467800805503866232353769412862167<37>
71766077374069086045293951960855849645855318229760306667595954576384410428015513022467288685306249<98>
factorization results 素因数分解の結果
Input number is 237722820491720255289608452959492865035181999576664525554733749897423342775648834005644711413583971201401179384773160367632600020781583 (135 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1811664283
Step 1 took 7551ms
Step 2 took 6334ms
********** Factor found in step 2: 3312467800805503866232353769412862167
Found probable prime factor of 37 digits: 3312467800805503866232353769412862167
Probable prime cofactor 71766077374069086045293951960855849645855318229760306667595954576384410428015513022467288685306249 has 98 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:19:56 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 56 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:33 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 33 秒 (日本時間)

97×10157-13

c139

name 名前Cyp
date 日付December 25, 2014 23:40:25 UTC 2014 年 12 月 26 日 (金) 8 時 40 分 25 秒 (日本時間)
composite number 合成数
2932782369571813313665579026460992755865690437612587187664439582773314133194271773390355518174860515787299001724261844957376208566661603891<139>
prime factors 素因数
294624550800222227957291154084731144600263<42>
375011527329349298685477525201447427093016453<45>
26543994943006956200129299454449826682673499502006769<53>
factorization results 素因数分解の結果
12/25/14 18:05:34 v1.34.3, 
12/25/14 18:05:34 v1.34.3, ****************************
12/25/14 18:05:34 v1.34.3, Starting factorization of 2932782369571813313665579026460992755865690437612587187664439582773314133194271773390355518174860515787299001724261844957376208566661603891
12/25/14 18:05:34 v1.34.3, using pretesting plan: none
12/25/14 18:05:34 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/25/14 18:05:34 v1.34.3, ****************************
12/25/14 18:05:34 v1.34.3, nfs: commencing nfs on c139: 2932782369571813313665579026460992755865690437612587187664439582773314133194271773390355518174860515787299001724261844957376208566661603891
12/25/14 18:05:34 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/25/14 18:05:34 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/25/14 18:07:59 v1.34.3, nfs: commencing lattice sieving with 8 threads
[137 lines snipped]
12/25/14 23:59:35 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/26/14 00:00:55 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/26/14 00:02:12 v1.34.3, nfs: commencing msieve filtering
12/26/14 00:03:56 v1.34.3, nfs: commencing msieve linear algebra
12/26/14 00:11:22 v1.34.3, nfs: commencing msieve sqrt
12/26/14 00:12:58 v1.34.3, prp42 = 294624550800222227957291154084731144600263
12/26/14 00:12:58 v1.34.3, C97 = 9954304084999562735022809181974972613596394982527789924807339645570774447618815432407299034370357
12/26/14 00:12:58 v1.34.3, NFS elapsed time = 22043.5172 seconds.
12/26/14 00:12:58 v1.34.3, 
12/26/14 00:12:58 v1.34.3, 
12/26/14 00:12:58 v1.34.3, 
12/26/14 00:12:58 v1.34.3, ****************************
12/26/14 00:12:58 v1.34.3, Starting factorization of 9954304084999562735022809181974972613596394982527789924807339645570774447618815432407299034370357
12/26/14 00:12:58 v1.34.3, using pretesting plan: normal
12/26/14 00:12:58 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/26/14 00:12:58 v1.34.3, ****************************
12/26/14 00:12:58 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C97
12/26/14 00:12:58 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C97
12/26/14 00:12:58 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C97
12/26/14 00:12:58 v1.34.3, pm1: starting B1 = 150K, B2 = gmp-ecm default on C97
12/26/14 00:12:58 v1.34.3, current ECM pretesting depth: 0.00
12/26/14 00:12:58 v1.34.3, scheduled 30 curves at B1=2000 toward target pretesting depth of 29.85
12/26/14 00:12:58 v1.34.3, Finished 30 curves using Lenstra ECM method on C97 input, B1=2K, B2=gmp-ecm default
12/26/14 00:12:58 v1.34.3, current ECM pretesting depth: 15.18
12/26/14 00:12:58 v1.34.3, scheduled 74 curves at B1=11000 toward target pretesting depth of 29.85
12/26/14 00:13:00 v1.34.3, Finished 74 curves using Lenstra ECM method on C97 input, B1=11K, B2=gmp-ecm default
12/26/14 00:13:00 v1.34.3, current ECM pretesting depth: 20.24
12/26/14 00:13:00 v1.34.3, scheduled 214 curves at B1=50000 toward target pretesting depth of 29.85
12/26/14 00:13:27 v1.34.3, Finished 214 curves using Lenstra ECM method on C97 input, B1=50K, B2=gmp-ecm default
12/26/14 00:13:27 v1.34.3, pm1: starting B1 = 3750K, B2 = gmp-ecm default on C97
12/26/14 00:13:28 v1.34.3, current ECM pretesting depth: 25.33
12/26/14 00:13:28 v1.34.3, scheduled 390 curves at B1=250000 toward target pretesting depth of 29.85
12/26/14 00:17:01 v1.34.3, Finished 390 curves using Lenstra ECM method on C97 input, B1=250K, B2=gmp-ecm default
12/26/14 00:17:01 v1.34.3, final ECM pretested depth: 29.87
12/26/14 00:17:01 v1.34.3, scheduler: switching to sieve method
12/26/14 00:17:01 v1.34.3, nfs: commencing nfs on c97: 9954304084999562735022809181974972613596394982527789924807339645570774447618815432407299034370357
12/26/14 00:17:01 v1.34.3, nfs: commencing poly selection with 8 threads
12/26/14 00:17:01 v1.34.3, nfs: setting deadline of 124 seconds
12/26/14 00:19:23 v1.34.3, nfs: completed 193 ranges of size 250 in 141.7757 seconds
12/26/14 00:19:23 v1.34.3, nfs: best poly = # norm 2.478215e-13 alpha -5.505148 e 1.629e-08 rroots 4
12/26/14 00:19:23 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/26/14 00:20:30 v1.34.3, nfs: commencing lattice sieving with 8 threads
[6 lines snipped]
12/26/14 00:28:29 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/26/14 00:29:35 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/26/14 00:30:51 v1.34.3, nfs: commencing msieve filtering
12/26/14 00:31:07 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/26/14 00:32:20 v1.34.3, nfs: commencing msieve filtering
12/26/14 00:32:37 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/26/14 00:33:47 v1.34.3, nfs: commencing msieve filtering
12/26/14 00:34:06 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/26/14 00:35:19 v1.34.3, nfs: commencing msieve filtering
12/26/14 00:35:40 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/26/14 00:36:49 v1.34.3, nfs: commencing msieve filtering
12/26/14 00:37:11 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/26/14 00:38:25 v1.34.3, nfs: commencing msieve filtering
12/26/14 00:38:56 v1.34.3, nfs: commencing msieve linear algebra
12/26/14 00:40:07 v1.34.3, nfs: commencing msieve sqrt
12/26/14 00:40:24 v1.34.3, prp53 = 26543994943006956200129299454449826682673499502006769
12/26/14 00:40:24 v1.34.3, prp45 = 375011527329349298685477525201447427093016453
12/26/14 00:40:24 v1.34.3, NFS elapsed time = 1402.9944 seconds.
12/26/14 00:40:24 v1.34.3, 
12/26/14 00:40:24 v1.34.3, 
12/26/14 00:40:24 v1.34.3, Total factoring time = 1646.3283 seconds
12/26/14 00:40:24 v1.34.3, Total factoring time = 23689.8730 seconds
--
Fri Dec 26 00:02:12 2014  
Fri Dec 26 00:02:12 2014  commencing relation filtering
Fri Dec 26 00:02:12 2014  estimated available RAM is 15987.3 MB
Fri Dec 26 00:02:12 2014  commencing duplicate removal, pass 1
Fri Dec 26 00:02:39 2014  found 1807610 hash collisions in 10042701 relations
Fri Dec 26 00:02:47 2014  added 354631 free relations
Fri Dec 26 00:02:47 2014  commencing duplicate removal, pass 2
Fri Dec 26 00:02:55 2014  found 1544060 duplicates and 8853272 unique relations
Fri Dec 26 00:02:55 2014  memory use: 45.3 MB
Fri Dec 26 00:02:55 2014  reading ideals above 100000
Fri Dec 26 00:02:55 2014  commencing singleton removal, initial pass
Fri Dec 26 00:03:33 2014  memory use: 188.2 MB
Fri Dec 26 00:03:33 2014  reading all ideals from disk
Fri Dec 26 00:03:33 2014  memory use: 304.7 MB
Fri Dec 26 00:03:33 2014  keeping 9500882 ideals with weight <= 200, target excess is 45802
Fri Dec 26 00:03:33 2014  commencing in-memory singleton removal
Fri Dec 26 00:03:34 2014  begin with 8853272 relations and 9500882 unique ideals
Fri Dec 26 00:03:36 2014  reduce to 3891452 relations and 3348553 ideals in 13 passes
Fri Dec 26 00:03:36 2014  max relations containing the same ideal: 120
Fri Dec 26 00:03:37 2014  removing 972049 relations and 727165 ideals in 244884 cliques
Fri Dec 26 00:03:37 2014  commencing in-memory singleton removal
Fri Dec 26 00:03:38 2014  begin with 2919403 relations and 3348553 unique ideals
Fri Dec 26 00:03:38 2014  reduce to 2738632 relations and 2426288 ideals in 9 passes
Fri Dec 26 00:03:38 2014  max relations containing the same ideal: 95
Fri Dec 26 00:03:39 2014  removing 797722 relations and 552838 ideals in 244884 cliques
Fri Dec 26 00:03:39 2014  commencing in-memory singleton removal
Fri Dec 26 00:03:39 2014  begin with 1940910 relations and 2426288 unique ideals
Fri Dec 26 00:03:40 2014  reduce to 1792121 relations and 1711019 ideals in 9 passes
Fri Dec 26 00:03:40 2014  max relations containing the same ideal: 74
Fri Dec 26 00:03:40 2014  removing 142069 relations and 114098 ideals in 27971 cliques
Fri Dec 26 00:03:40 2014  commencing in-memory singleton removal
Fri Dec 26 00:03:40 2014  begin with 1650052 relations and 1711019 unique ideals
Fri Dec 26 00:03:41 2014  reduce to 1643182 relations and 1589942 ideals in 5 passes
Fri Dec 26 00:03:41 2014  max relations containing the same ideal: 68
Fri Dec 26 00:03:41 2014  relations with 0 large ideals: 1078
Fri Dec 26 00:03:41 2014  relations with 1 large ideals: 486
Fri Dec 26 00:03:41 2014  relations with 2 large ideals: 7912
Fri Dec 26 00:03:41 2014  relations with 3 large ideals: 54941
Fri Dec 26 00:03:41 2014  relations with 4 large ideals: 197092
Fri Dec 26 00:03:41 2014  relations with 5 large ideals: 398597
Fri Dec 26 00:03:41 2014  relations with 6 large ideals: 488230
Fri Dec 26 00:03:41 2014  relations with 7+ large ideals: 494846
Fri Dec 26 00:03:41 2014  commencing 2-way merge
Fri Dec 26 00:03:42 2014  reduce to 1035441 relation sets and 982201 unique ideals
Fri Dec 26 00:03:42 2014  commencing full merge
Fri Dec 26 00:03:51 2014  memory use: 125.9 MB
Fri Dec 26 00:03:51 2014  found 535479 cycles, need 528401
Fri Dec 26 00:03:52 2014  weight of 528401 cycles is about 37381969 (70.75/cycle)
Fri Dec 26 00:03:52 2014  distribution of cycle lengths:
Fri Dec 26 00:03:52 2014  1 relations: 38340
Fri Dec 26 00:03:52 2014  2 relations: 51154
Fri Dec 26 00:03:52 2014  3 relations: 57147
Fri Dec 26 00:03:52 2014  4 relations: 56333
Fri Dec 26 00:03:52 2014  5 relations: 54522
Fri Dec 26 00:03:52 2014  6 relations: 50860
Fri Dec 26 00:03:52 2014  7 relations: 45047
Fri Dec 26 00:03:52 2014  8 relations: 38715
Fri Dec 26 00:03:52 2014  9 relations: 32828
Fri Dec 26 00:03:52 2014  10+ relations: 103455
Fri Dec 26 00:03:52 2014  heaviest cycle: 21 relations
Fri Dec 26 00:03:52 2014  commencing cycle optimization
Fri Dec 26 00:03:52 2014  start with 3300166 relations
Fri Dec 26 00:03:55 2014  pruned 95967 relations
Fri Dec 26 00:03:55 2014  memory use: 102.1 MB
Fri Dec 26 00:03:55 2014  distribution of cycle lengths:
Fri Dec 26 00:03:55 2014  1 relations: 38340
Fri Dec 26 00:03:55 2014  2 relations: 52264
Fri Dec 26 00:03:55 2014  3 relations: 59268
Fri Dec 26 00:03:55 2014  4 relations: 58070
Fri Dec 26 00:03:55 2014  5 relations: 56484
Fri Dec 26 00:03:55 2014  6 relations: 52169
Fri Dec 26 00:03:55 2014  7 relations: 46168
Fri Dec 26 00:03:55 2014  8 relations: 39210
Fri Dec 26 00:03:55 2014  9 relations: 32857
Fri Dec 26 00:03:55 2014  10+ relations: 93571
Fri Dec 26 00:03:55 2014  heaviest cycle: 21 relations
Fri Dec 26 00:03:56 2014  RelProcTime: 104
Fri Dec 26 00:03:56 2014  
Fri Dec 26 00:03:56 2014  commencing linear algebra
Fri Dec 26 00:03:56 2014  read 528401 cycles
Fri Dec 26 00:03:56 2014  cycles contain 1611918 unique relations
Fri Dec 26 00:04:06 2014  read 1611918 relations
Fri Dec 26 00:04:07 2014  using 20 quadratic characters above 134217050
Fri Dec 26 00:04:12 2014  building initial matrix
Fri Dec 26 00:04:20 2014  memory use: 193.8 MB
Fri Dec 26 00:04:20 2014  read 528401 cycles
Fri Dec 26 00:04:20 2014  matrix is 528224 x 528401 (158.6 MB) with weight 46992117 (88.93/col)
Fri Dec 26 00:04:20 2014  sparse part has weight 35766119 (67.69/col)
Fri Dec 26 00:04:22 2014  filtering completed in 2 passes
Fri Dec 26 00:04:22 2014  matrix is 528162 x 528339 (158.6 MB) with weight 46990009 (88.94/col)
Fri Dec 26 00:04:22 2014  sparse part has weight 35765319 (67.69/col)
Fri Dec 26 00:04:23 2014  matrix starts at (0, 0)
Fri Dec 26 00:04:23 2014  matrix is 528162 x 528339 (158.6 MB) with weight 46990009 (88.94/col)
Fri Dec 26 00:04:23 2014  sparse part has weight 35765319 (67.69/col)
Fri Dec 26 00:04:23 2014  saving the first 48 matrix rows for later
Fri Dec 26 00:04:24 2014  matrix includes 64 packed rows
Fri Dec 26 00:04:24 2014  matrix is 528114 x 528339 (150.1 MB) with weight 37475406 (70.93/col)
Fri Dec 26 00:04:24 2014  sparse part has weight 34058170 (64.46/col)
Fri Dec 26 00:04:24 2014  using block size 65536 for processor cache size 8192 kB
Fri Dec 26 00:04:25 2014  commencing Lanczos iteration (8 threads)
Fri Dec 26 00:04:25 2014  memory use: 145.2 MB
Fri Dec 26 00:04:27 2014  linear algebra at 0.6%, ETA 0h 5m
Fri Dec 26 00:11:22 2014  lanczos halted after 8352 iterations (dim = 528112)
Fri Dec 26 00:11:22 2014  recovered 39 nontrivial dependencies
Fri Dec 26 00:11:22 2014  BLanczosTime: 446
Fri Dec 26 00:11:22 2014  
Fri Dec 26 00:11:22 2014  commencing square root phase
Fri Dec 26 00:11:22 2014  reading relations for dependency 1
Fri Dec 26 00:11:23 2014  read 263793 cycles
Fri Dec 26 00:11:23 2014  cycles contain 804452 unique relations
Fri Dec 26 00:11:31 2014  read 804452 relations
Fri Dec 26 00:11:32 2014  multiplying 804452 relations
Fri Dec 26 00:11:49 2014  multiply complete, coefficients have about 26.23 million bits
Fri Dec 26 00:11:49 2014  initial square root is modulo 34091711
Fri Dec 26 00:12:10 2014  Newton iteration failed to converge
Fri Dec 26 00:12:10 2014  algebraic square root failed
Fri Dec 26 00:12:10 2014  reading relations for dependency 2
Fri Dec 26 00:12:10 2014  read 262906 cycles
Fri Dec 26 00:12:10 2014  cycles contain 804054 unique relations
Fri Dec 26 00:12:18 2014  read 804054 relations
Fri Dec 26 00:12:20 2014  multiplying 804054 relations
Fri Dec 26 00:12:36 2014  multiply complete, coefficients have about 26.22 million bits
Fri Dec 26 00:12:36 2014  initial square root is modulo 33848561
Fri Dec 26 00:12:58 2014  sqrtTime: 96
Fri Dec 26 00:30:51 2014  
Fri Dec 26 00:30:51 2014  commencing relation filtering
Fri Dec 26 00:30:51 2014  estimated available RAM is 15987.3 MB
Fri Dec 26 00:30:51 2014  commencing duplicate removal, pass 1
Fri Dec 26 00:30:56 2014  found 114206 hash collisions in 1944284 relations
Fri Dec 26 00:30:58 2014  added 80787 free relations
Fri Dec 26 00:30:58 2014  commencing duplicate removal, pass 2
Fri Dec 26 00:30:59 2014  found 67748 duplicates and 1957323 unique relations
Fri Dec 26 00:30:59 2014  memory use: 8.2 MB
Fri Dec 26 00:30:59 2014  reading ideals above 30000
Fri Dec 26 00:30:59 2014  commencing singleton removal, initial pass
Fri Dec 26 00:31:07 2014  memory use: 86.1 MB
Fri Dec 26 00:31:07 2014  reading all ideals from disk
Fri Dec 26 00:31:07 2014  memory use: 67.1 MB
Fri Dec 26 00:31:07 2014  keeping 2686994 ideals with weight <= 200, target excess is 9268
Fri Dec 26 00:31:07 2014  commencing in-memory singleton removal
Fri Dec 26 00:31:07 2014  begin with 1957323 relations and 2686994 unique ideals
Fri Dec 26 00:31:07 2014  reduce to 195 relations and 0 ideals in 10 passes
Fri Dec 26 00:31:07 2014  max relations containing the same ideal: 0
Fri Dec 26 00:32:20 2014  
Fri Dec 26 00:32:20 2014  commencing relation filtering
Fri Dec 26 00:32:20 2014  estimated available RAM is 15987.3 MB
Fri Dec 26 00:32:20 2014  commencing duplicate removal, pass 1
Fri Dec 26 00:32:26 2014  found 141123 hash collisions in 2224838 relations
Fri Dec 26 00:32:28 2014  added 1073 free relations
Fri Dec 26 00:32:28 2014  commencing duplicate removal, pass 2
Fri Dec 26 00:32:29 2014  found 81141 duplicates and 2144770 unique relations
Fri Dec 26 00:32:29 2014  memory use: 8.2 MB
Fri Dec 26 00:32:29 2014  reading ideals above 100000
Fri Dec 26 00:32:29 2014  commencing singleton removal, initial pass
Fri Dec 26 00:32:37 2014  memory use: 86.1 MB
Fri Dec 26 00:32:37 2014  reading all ideals from disk
Fri Dec 26 00:32:37 2014  memory use: 65.1 MB
Fri Dec 26 00:32:37 2014  commencing in-memory singleton removal
Fri Dec 26 00:32:37 2014  begin with 2144770 relations and 2784141 unique ideals
Fri Dec 26 00:32:37 2014  reduce to 454 relations and 0 ideals in 13 passes
Fri Dec 26 00:32:37 2014  max relations containing the same ideal: 0
Fri Dec 26 00:33:47 2014  
Fri Dec 26 00:33:47 2014  commencing relation filtering
Fri Dec 26 00:33:47 2014  estimated available RAM is 15987.3 MB
Fri Dec 26 00:33:47 2014  commencing duplicate removal, pass 1
Fri Dec 26 00:33:54 2014  found 164698 hash collisions in 2418862 relations
Fri Dec 26 00:33:55 2014  added 768 free relations
Fri Dec 26 00:33:55 2014  commencing duplicate removal, pass 2
Fri Dec 26 00:33:57 2014  found 94816 duplicates and 2324814 unique relations
Fri Dec 26 00:33:57 2014  memory use: 8.2 MB
Fri Dec 26 00:33:57 2014  reading ideals above 100000
Fri Dec 26 00:33:57 2014  commencing singleton removal, initial pass
Fri Dec 26 00:34:06 2014  memory use: 86.1 MB
Fri Dec 26 00:34:06 2014  reading all ideals from disk
Fri Dec 26 00:34:06 2014  memory use: 70.6 MB
Fri Dec 26 00:34:06 2014  commencing in-memory singleton removal
Fri Dec 26 00:34:06 2014  begin with 2324814 relations and 2877146 unique ideals
Fri Dec 26 00:34:06 2014  reduce to 454 relations and 0 ideals in 27 passes
Fri Dec 26 00:34:06 2014  max relations containing the same ideal: 0
Fri Dec 26 00:35:19 2014  
Fri Dec 26 00:35:19 2014  commencing relation filtering
Fri Dec 26 00:35:19 2014  estimated available RAM is 15987.3 MB
Fri Dec 26 00:35:19 2014  commencing duplicate removal, pass 1
Fri Dec 26 00:35:26 2014  found 191350 hash collisions in 2625962 relations
Fri Dec 26 00:35:28 2014  added 642 free relations
Fri Dec 26 00:35:28 2014  commencing duplicate removal, pass 2
Fri Dec 26 00:35:30 2014  found 110667 duplicates and 2515937 unique relations
Fri Dec 26 00:35:30 2014  memory use: 8.2 MB
Fri Dec 26 00:35:30 2014  reading ideals above 100000
Fri Dec 26 00:35:30 2014  commencing singleton removal, initial pass
Fri Dec 26 00:35:39 2014  memory use: 86.1 MB
Fri Dec 26 00:35:39 2014  reading all ideals from disk
Fri Dec 26 00:35:39 2014  memory use: 76.5 MB
Fri Dec 26 00:35:39 2014  commencing in-memory singleton removal
Fri Dec 26 00:35:39 2014  begin with 2515937 relations and 2967455 unique ideals
Fri Dec 26 00:35:40 2014  reduce to 634371 relations and 682930 ideals in 29 passes
Fri Dec 26 00:35:40 2014  max relations containing the same ideal: 60
Fri Dec 26 00:36:49 2014  
Fri Dec 26 00:36:49 2014  commencing relation filtering
Fri Dec 26 00:36:49 2014  estimated available RAM is 15987.3 MB
Fri Dec 26 00:36:49 2014  commencing duplicate removal, pass 1
Fri Dec 26 00:36:57 2014  found 216469 hash collisions in 2810667 relations
Fri Dec 26 00:36:58 2014  added 436 free relations
Fri Dec 26 00:36:58 2014  commencing duplicate removal, pass 2
Fri Dec 26 00:37:00 2014  found 125514 duplicates and 2685589 unique relations
Fri Dec 26 00:37:00 2014  memory use: 12.3 MB
Fri Dec 26 00:37:00 2014  reading ideals above 100000
Fri Dec 26 00:37:00 2014  commencing singleton removal, initial pass
Fri Dec 26 00:37:10 2014  memory use: 86.1 MB
Fri Dec 26 00:37:10 2014  reading all ideals from disk
Fri Dec 26 00:37:10 2014  memory use: 81.7 MB
Fri Dec 26 00:37:10 2014  commencing in-memory singleton removal
Fri Dec 26 00:37:10 2014  begin with 2685589 relations and 3040579 unique ideals
Fri Dec 26 00:37:11 2014  reduce to 894887 relations and 894034 ideals in 19 passes
Fri Dec 26 00:37:11 2014  max relations containing the same ideal: 78
Fri Dec 26 00:38:25 2014  
Fri Dec 26 00:38:25 2014  commencing relation filtering
Fri Dec 26 00:38:25 2014  estimated available RAM is 15987.3 MB
Fri Dec 26 00:38:25 2014  commencing duplicate removal, pass 1
Fri Dec 26 00:38:34 2014  found 246085 hash collisions in 3016208 relations
Fri Dec 26 00:38:35 2014  added 396 free relations
Fri Dec 26 00:38:35 2014  commencing duplicate removal, pass 2
Fri Dec 26 00:38:37 2014  found 143013 duplicates and 2873591 unique relations
Fri Dec 26 00:38:37 2014  memory use: 12.3 MB
Fri Dec 26 00:38:37 2014  reading ideals above 100000
Fri Dec 26 00:38:37 2014  commencing singleton removal, initial pass
Fri Dec 26 00:38:48 2014  memory use: 86.1 MB
Fri Dec 26 00:38:48 2014  reading all ideals from disk
Fri Dec 26 00:38:48 2014  memory use: 87.5 MB
Fri Dec 26 00:38:48 2014  commencing in-memory singleton removal
Fri Dec 26 00:38:49 2014  begin with 2873591 relations and 3115549 unique ideals
Fri Dec 26 00:38:49 2014  reduce to 1161890 relations and 1092248 ideals in 19 passes
Fri Dec 26 00:38:49 2014  max relations containing the same ideal: 97
Fri Dec 26 00:38:49 2014  removing 193096 relations and 169582 ideals in 23514 cliques
Fri Dec 26 00:38:50 2014  commencing in-memory singleton removal
Fri Dec 26 00:38:50 2014  begin with 968794 relations and 1092248 unique ideals
Fri Dec 26 00:38:50 2014  reduce to 940458 relations and 893520 ideals in 9 passes
Fri Dec 26 00:38:50 2014  max relations containing the same ideal: 82
Fri Dec 26 00:38:50 2014  removing 144227 relations and 120713 ideals in 23514 cliques
Fri Dec 26 00:38:50 2014  commencing in-memory singleton removal
Fri Dec 26 00:38:50 2014  begin with 796231 relations and 893520 unique ideals
Fri Dec 26 00:38:50 2014  reduce to 776176 relations and 752194 ideals in 10 passes
Fri Dec 26 00:38:50 2014  max relations containing the same ideal: 70
Fri Dec 26 00:38:50 2014  relations with 0 large ideals: 454
Fri Dec 26 00:38:50 2014  relations with 1 large ideals: 167
Fri Dec 26 00:38:50 2014  relations with 2 large ideals: 3403
Fri Dec 26 00:38:50 2014  relations with 3 large ideals: 24610
Fri Dec 26 00:38:50 2014  relations with 4 large ideals: 94073
Fri Dec 26 00:38:50 2014  relations with 5 large ideals: 204684
Fri Dec 26 00:38:50 2014  relations with 6 large ideals: 231542
Fri Dec 26 00:38:50 2014  relations with 7+ large ideals: 217243
Fri Dec 26 00:38:50 2014  commencing 2-way merge
Fri Dec 26 00:38:50 2014  reduce to 446999 relation sets and 423017 unique ideals
Fri Dec 26 00:38:50 2014  commencing full merge
Fri Dec 26 00:38:54 2014  memory use: 46.0 MB
Fri Dec 26 00:38:54 2014  found 210365 cycles, need 207217
Fri Dec 26 00:38:54 2014  weight of 207217 cycles is about 14777618 (71.31/cycle)
Fri Dec 26 00:38:54 2014  distribution of cycle lengths:
Fri Dec 26 00:38:54 2014  1 relations: 21261
Fri Dec 26 00:38:54 2014  2 relations: 20985
Fri Dec 26 00:38:54 2014  3 relations: 20962
Fri Dec 26 00:38:54 2014  4 relations: 19475
Fri Dec 26 00:38:54 2014  5 relations: 17773
Fri Dec 26 00:38:54 2014  6 relations: 15996
Fri Dec 26 00:38:54 2014  7 relations: 14108
Fri Dec 26 00:38:54 2014  8 relations: 12405
Fri Dec 26 00:38:54 2014  9 relations: 10880
Fri Dec 26 00:38:54 2014  10+ relations: 53372
Fri Dec 26 00:38:54 2014  heaviest cycle: 25 relations
Fri Dec 26 00:38:54 2014  commencing cycle optimization
Fri Dec 26 00:38:54 2014  start with 1408516 relations
Fri Dec 26 00:38:55 2014  pruned 34222 relations
Fri Dec 26 00:38:55 2014  memory use: 45.2 MB
Fri Dec 26 00:38:55 2014  distribution of cycle lengths:
Fri Dec 26 00:38:55 2014  1 relations: 21261
Fri Dec 26 00:38:55 2014  2 relations: 21412
Fri Dec 26 00:38:55 2014  3 relations: 21661
Fri Dec 26 00:38:55 2014  4 relations: 19941
Fri Dec 26 00:38:55 2014  5 relations: 18277
Fri Dec 26 00:38:55 2014  6 relations: 16271
Fri Dec 26 00:38:55 2014  7 relations: 14396
Fri Dec 26 00:38:55 2014  8 relations: 12390
Fri Dec 26 00:38:55 2014  9 relations: 10854
Fri Dec 26 00:38:55 2014  10+ relations: 50754
Fri Dec 26 00:38:55 2014  heaviest cycle: 24 relations
Fri Dec 26 00:38:56 2014  RelProcTime: 31
Fri Dec 26 00:38:56 2014  
Fri Dec 26 00:38:56 2014  commencing linear algebra
Fri Dec 26 00:38:56 2014  read 207217 cycles
Fri Dec 26 00:38:56 2014  cycles contain 743064 unique relations
Fri Dec 26 00:38:59 2014  read 743064 relations
Fri Dec 26 00:38:59 2014  using 20 quadratic characters above 33554160
Fri Dec 26 00:39:02 2014  building initial matrix
Fri Dec 26 00:39:05 2014  memory use: 91.0 MB
Fri Dec 26 00:39:05 2014  read 207217 cycles
Fri Dec 26 00:39:05 2014  matrix is 207038 x 207217 (62.5 MB) with weight 19946325 (96.26/col)
Fri Dec 26 00:39:05 2014  sparse part has weight 14116983 (68.13/col)
Fri Dec 26 00:39:06 2014  filtering completed in 2 passes
Fri Dec 26 00:39:06 2014  matrix is 206619 x 206798 (62.5 MB) with weight 19927373 (96.36/col)
Fri Dec 26 00:39:06 2014  sparse part has weight 14110673 (68.23/col)
Fri Dec 26 00:39:06 2014  matrix starts at (0, 0)
Fri Dec 26 00:39:06 2014  matrix is 206619 x 206798 (62.5 MB) with weight 19927373 (96.36/col)
Fri Dec 26 00:39:06 2014  sparse part has weight 14110673 (68.23/col)
Fri Dec 26 00:39:06 2014  saving the first 48 matrix rows for later
Fri Dec 26 00:39:06 2014  matrix includes 64 packed rows
Fri Dec 26 00:39:06 2014  matrix is 206571 x 206798 (60.2 MB) with weight 15795665 (76.38/col)
Fri Dec 26 00:39:06 2014  sparse part has weight 13713665 (66.31/col)
Fri Dec 26 00:39:06 2014  using block size 65536 for processor cache size 8192 kB
Fri Dec 26 00:39:07 2014  commencing Lanczos iteration (8 threads)
Fri Dec 26 00:39:07 2014  memory use: 56.1 MB
Fri Dec 26 00:39:10 2014  linear algebra at 5.9%, ETA 0h 0m
Fri Dec 26 00:40:07 2014  lanczos halted after 3268 iterations (dim = 206570)
Fri Dec 26 00:40:07 2014  recovered 31 nontrivial dependencies
Fri Dec 26 00:40:07 2014  BLanczosTime: 71
Fri Dec 26 00:40:07 2014  
Fri Dec 26 00:40:07 2014  commencing square root phase
Fri Dec 26 00:40:07 2014  reading relations for dependency 1
Fri Dec 26 00:40:07 2014  read 103614 cycles
Fri Dec 26 00:40:07 2014  cycles contain 371748 unique relations
Fri Dec 26 00:40:10 2014  read 371748 relations
Fri Dec 26 00:40:10 2014  multiplying 371748 relations
Fri Dec 26 00:40:16 2014  multiply complete, coefficients have about 14.49 million bits
Fri Dec 26 00:40:16 2014  initial square root is modulo 212477843
Fri Dec 26 00:40:24 2014  sqrtTime: 17
--
n: 9954304084999562735022809181974972613596394982527789924807339645570774447618815432407299034370357
skew: 8013330.42
c0: 116677534965620544924512076757
c1: 29163201070606058051930
c2: -18390938815319169
c3: -1138285998
c4: 120
Y0: -536676680322400093688270
Y1: 2766919508899
rlim: 1620000
alim: 1620000
lpbr: 25
lpba: 25
mfbr: 50
mfba: 50
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
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:19:56 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 56 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:33 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 33 秒 (日本時間)

97×10160-13

c99

name 名前Dmitry Domanov
date 日付December 20, 2014 14:02:05 UTC 2014 年 12 月 20 日 (土) 23 時 2 分 5 秒 (日本時間)
composite number 合成数
123184261118329420354307567198229728146296176275092850656774421079937990074203874788259385968358899<99>
prime factors 素因数
26776212154871900727919247895259286096537<41>
4600511095663551014946067953054617561253298386075492485227<58>
factorization results 素因数分解の結果
N=123184261118329420354307567198229728146296176275092850656774421079937990074203874788259385968358899
  ( 99 digits)
Divisors found:
 r1=26776212154871900727919247895259286096537 (pp41)
 r2=4600511095663551014946067953054617561253298386075492485227 (pp58)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 2.66 hours.
Scaled time: 5.39 units (timescale=2.026).
Factorization parameters were as follows:
n: 123184261118329420354307567198229728146296176275092850656774421079937990074203874788259385968358899
skew: 534454.78
c0: 29497234248744182900334615
c1: -820668020202019129091
c2: -6952629294005594
c3: 7437558804
c4: 6696
Y0: -368285755856359444944172
Y1: 68553071353
rlim: 1740000
alim: 1740000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 1740000/1740000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [870000, 1170001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 165800 x 166029
Total sieving time: 2.50 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,98,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1740000,1740000,26,26,52,52,2.5,2.5,100000
total time: 2.66 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:01:33 UTC 2014 年 12 月 20 日 (土) 3 時 1 分 33 秒 (日本時間)

97×10162-13

c134

name 名前Serge Batalov
date 日付December 21, 2014 01:52:23 UTC 2014 年 12 月 21 日 (日) 10 時 52 分 23 秒 (日本時間)
composite number 合成数
17148844591779852573615323931605996461242728373858057480023303458491708866754094472305079513660742868528475880611123971101741201884447<134>
prime factors 素因数
238626269749052779114412654318945082121<39>
composite cofactor 合成数の残り
71864864710051163486406522855122134629934613987715209459440671657575352956752488017385735397607<95>
factorization results 素因数分解の結果
Input number is 17148844591779852573615323931605996461242728373858057480023303458491708866754094472305079513660742868528475880611123971101741201884447 (134 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4114174538
Step 1 took 7598ms
Step 2 took 6566ms
********** Factor found in step 2: 238626269749052779114412654318945082121
Found probable prime factor of 39 digits: 238626269749052779114412654318945082121
Composite cofactor 71864864710051163486406522855122134629934613987715209459440671657575352956752488017385735397607 has 95 digits

c95

name 名前Cyp
date 日付December 21, 2014 15:29:42 UTC 2014 年 12 月 22 日 (月) 0 時 29 分 42 秒 (日本時間)
composite number 合成数
71864864710051163486406522855122134629934613987715209459440671657575352956752488017385735397607<95>
prime factors 素因数
89097840831417571032200467675193036833<38>
806583684177341627512829063213299280328524937360887836679<57>
factorization results 素因数分解の結果
12/21/14 15:56:49 v1.34.3, 
12/21/14 15:56:49 v1.34.3, ****************************
12/21/14 15:56:49 v1.34.3, Starting factorization of 71864864710051163486406522855122134629934613987715209459440671657575352956752488017385735397607
12/21/14 15:56:49 v1.34.3, using pretesting plan: none
12/21/14 15:56:49 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/21/14 15:56:49 v1.34.3, ****************************
12/21/14 15:56:49 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C95
12/21/14 15:56:49 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C95
12/21/14 15:56:49 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C95
12/21/14 15:56:49 v1.34.3, final ECM pretested depth: 0.00
12/21/14 15:56:49 v1.34.3, scheduler: switching to sieve method
12/21/14 15:56:49 v1.34.3, starting SIQS on c95: 71864864710051163486406522855122134629934613987715209459440671657575352956752488017385735397607
12/21/14 15:56:49 v1.34.3, random seeds: 1604943343, 1155267483
12/21/14 15:56:49 v1.34.3, ==== sieve params ====
12/21/14 15:56:49 v1.34.3, n = 97 digits, 321 bits
12/21/14 15:56:49 v1.34.3, factor base: 94288 primes (max prime = 2589007)
12/21/14 15:56:49 v1.34.3, single large prime cutoff: 336570910 (130 * pmax)
12/21/14 15:56:49 v1.34.3, double large prime range from 43 to 51 bits
12/21/14 15:56:49 v1.34.3, double large prime cutoff: 2232224335862416
12/21/14 15:56:49 v1.34.3, allocating 9 large prime slices of factor base
12/21/14 15:56:49 v1.34.3, buckets hold 2048 elements
12/21/14 15:56:49 v1.34.3, using 32k sieve core
12/21/14 15:56:49 v1.34.3, sieve interval: 18 blocks of size 32768
12/21/14 15:56:49 v1.34.3, polynomial A has ~ 12 factors
12/21/14 15:56:49 v1.34.3, using multiplier of 47
12/21/14 15:56:49 v1.34.3, using SPV correction of 21 bits, starting at offset 34
12/21/14 15:56:49 v1.34.3, using SSE2 for trial division and x128 sieve scanning
12/21/14 15:56:49 v1.34.3, using SSE4.1 enabled 32k sieve core
12/21/14 15:56:49 v1.34.3, using SSE2 for resieving 13-16 bit primes
12/21/14 15:56:49 v1.34.3, trial factoring cutoff at 102 bits
12/21/14 15:56:49 v1.34.3, ==== sieving started ( 8 threads) ====
12/21/14 16:28:54 v1.34.3, 95762 relations found: 26259 full + 69503 from 1242862 partial, using 1208168 polys (1175 A polys)
12/21/14 16:28:54 v1.34.3, on average, sieving found 1.05 rels/poly and 659.15 rels/sec
12/21/14 16:28:54 v1.34.3, trial division touched 56176857 sieve locations out of 0
12/21/14 16:28:54 v1.34.3, ==== post processing stage (msieve-1.38) ====
12/21/14 16:28:55 v1.34.3, begin with 1269121 relations
12/21/14 16:28:55 v1.34.3, reduce to 232886 relations in 10 passes
12/21/14 16:28:55 v1.34.3, failed to read relation 23564
12/21/14 16:28:55 v1.34.3, failed to read relation 23565
12/21/14 16:28:57 v1.34.3, failed to read relation 224726
12/21/14 16:28:57 v1.34.3, recovered 232883 relations
12/21/14 16:28:57 v1.34.3, recovered 211790 polynomials
12/21/14 16:28:57 v1.34.3, freed 57 duplicate relations
12/21/14 16:28:57 v1.34.3, attempting to build 95703 cycles
12/21/14 16:28:57 v1.34.3, found 95703 cycles in 6 passes
12/21/14 16:28:57 v1.34.3, distribution of cycle lengths:
12/21/14 16:28:57 v1.34.3,    length 1 : 26258
12/21/14 16:28:57 v1.34.3,    length 2 : 18937
12/21/14 16:28:57 v1.34.3,    length 3 : 17105
12/21/14 16:28:57 v1.34.3,    length 4 : 12465
12/21/14 16:28:57 v1.34.3,    length 5 : 8592
12/21/14 16:28:57 v1.34.3,    length 6 : 5371
12/21/14 16:28:57 v1.34.3,    length 7 : 3185
12/21/14 16:28:57 v1.34.3,    length 9+: 3790
12/21/14 16:28:57 v1.34.3, largest cycle: 24 relations
12/21/14 16:28:57 v1.34.3, matrix is 94288 x 95703 (26.2 MB) with weight 6114381 (63.89/col)
12/21/14 16:28:57 v1.34.3, sparse part has weight 6114381 (63.89/col)
12/21/14 16:28:58 v1.34.3, filtering completed in 3 passes
12/21/14 16:28:58 v1.34.3, matrix is 87645 x 87706 (23.9 MB) with weight 5553938 (63.32/col)
12/21/14 16:28:58 v1.34.3, sparse part has weight 5553938 (63.32/col)
12/21/14 16:28:58 v1.34.3, saving the first 48 matrix rows for later
12/21/14 16:28:58 v1.34.3, matrix is 87597 x 87706 (20.7 MB) with weight 4878048 (55.62/col)
12/21/14 16:28:58 v1.34.3, sparse part has weight 4551868 (51.90/col)
12/21/14 16:28:58 v1.34.3, matrix includes 64 packed rows
12/21/14 16:28:58 v1.34.3, using block size 35082 for processor cache size 8192 kB
12/21/14 16:28:59 v1.34.3, commencing Lanczos iteration
12/21/14 16:28:59 v1.34.3, memory use: 16.3 MB
12/21/14 16:29:40 v1.34.3, lanczos halted after 1386 iterations (dim = 87595)
12/21/14 16:29:40 v1.34.3, recovered 17 nontrivial dependencies
12/21/14 16:29:41 v1.34.3, prp57 = 806583684177341627512829063213299280328524937360887836679
12/21/14 16:29:41 v1.34.3, prp38 = 89097840831417571032200467675193036833
12/21/14 16:29:41 v1.34.3, Lanczos elapsed time = 32.4876 seconds.
12/21/14 16:29:41 v1.34.3, Sqrt elapsed time = 0.4753 seconds.
12/21/14 16:29:41 v1.34.3, SIQS elapsed time = 1971.9565 seconds.
12/21/14 16:29:41 v1.34.3, 
12/21/14 16:29:41 v1.34.3, 
12/21/14 16:29:41 v1.34.3, Total factoring time = 1972.2516 seconds
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
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:19:57 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 57 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:34 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 34 秒 (日本時間)

97×10163-13

c162

name 名前Serge Batalov
date 日付December 19, 2014 17:58:03 UTC 2014 年 12 月 20 日 (土) 2 時 58 分 3 秒 (日本時間)
composite number 合成数
215411947590495225405285365312014212747057517210748389962247390628469908949589162780368643126804352653786364645791694425938263379968909615811681101487896957583833<162>
prime factors 素因数
963194521875979879579328810619433<33>
223643244119521152625759994203836161549493652236681272161836240105295023462463169487153308380288456404256074171795781334777546801<129>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=2734215580
Step 1 took 3656ms
********** Factor found in step 1: 963194521875979879579328810619433
Found probable prime factor of 33 digits: 963194521875979879579328810619433
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)

97×10165-13

c152

name 名前Serge Batalov
date 日付December 21, 2014 01:52:26 UTC 2014 年 12 月 21 日 (日) 10 時 52 分 26 秒 (日本時間)
composite number 合成数
82713866103106063937266161600895592804599748894442904127683047812905742919320027751008541552431165272444703252199841444639115106156977591740444344971977<152>
prime factors 素因数
3605771049995240836365395692321<31>
composite cofactor 合成数の残り
22939300625649883073582004150694677676104085917329899520681912229288258477847583472981754864772476224697335503934513044137<122>
factorization results 素因数分解の結果
Input number is 82713866103106063937266161600895592804599748894442904127683047812905742919320027751008541552431165272444703252199841444639115106156977591740444344971977 (152 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2443717985
Step 1 took 9132ms
Step 2 took 7366ms
********** Factor found in step 2: 3605771049995240836365395692321
Found probable prime factor of 31 digits: 3605771049995240836365395692321
Composite cofactor 22939300625649883073582004150694677676104085917329899520681912229288258477847583472981754864772476224697335503934513044137 has 122 digits

c122

name 名前Pierre Jammes
date 日付December 24, 2014 19:30:22 UTC 2014 年 12 月 25 日 (木) 4 時 30 分 22 秒 (日本時間)
composite number 合成数
22939300625649883073582004150694677676104085917329899520681912229288258477847583472981754864772476224697335503934513044137<122>
prime factors 素因数
689236000700876256844078615979272152451<39>
33282214803526178177875205275567994193168665584758168633608468432609920310952325987<83>
factorization results 素因数分解の結果
Using B1=11000000, B2=144269945836, polynomial Dickson(12), sigma=3838441219
Step 1 took 65392ms
Step 2 took 54476ms
********** Factor found in step 2: 689236000700876256844078615979272152451
Found probable prime factor of 39 digits: 689236000700876256844078615979272152451
Probable prime cofactor 33282214803526178177875205275567994193168665584758168633608468432609920310952325987 has 83 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Debian 8

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:19:57 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 57 秒 (日本時間)

97×10166-13

c161

name 名前Serge Batalov
date 日付December 21, 2014 01:52:30 UTC 2014 年 12 月 21 日 (日) 10 時 52 分 30 秒 (日本時間)
composite number 合成数
18694770804711783778516536016237237181154661125767875665203791214718173342810233024150733662789159199213925360877013713500941397347774793231498483979361975225497<161>
prime factors 素因数
4928967675864287077972873853<28>
composite cofactor 合成数の残り
3792836965893407649510913481992445852452088154360973811490027240984713769548667548438346408717654777081616383637614200167833108463949<133>
factorization results 素因数分解の結果
Input number is 18694770804711783778516536016237237181154661125767875665203791214718173342810233024150733662789159199213925360877013713500941397347774793231498483979361975225497 (161 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=630410898
Step 1 took 12330ms
Step 2 took 9576ms
********** Factor found in step 2: 4928967675864287077972873853
Found probable prime factor of 28 digits: 4928967675864287077972873853
Composite cofactor 3792836965893407649510913481992445852452088154360973811490027240984713769548667548438346408717654777081616383637614200167833108463949 has 133 digits

c133

name 名前Jo Yeong Uk
date 日付March 15, 2015 02:02:53 UTC 2015 年 3 月 15 日 (日) 11 時 2 分 53 秒 (日本時間)
composite number 合成数
3792836965893407649510913481992445852452088154360973811490027240984713769548667548438346408717654777081616383637614200167833108463949<133>
prime factors 素因数
268488248085252181478634150697567805053971009984242599246170767<63>
14126640525022461049350178685079078350271625123556615770971641579803747<71>
factorization results 素因数分解の結果
Number: 32333_166
N=3792836965893407649510913481992445852452088154360973811490027240984713769548667548438346408717654777081616383637614200167833108463949
  ( 133 digits)
SNFS difficulty: 167 digits.
Divisors found:
 r1=268488248085252181478634150697567805053971009984242599246170767
 r2=14126640525022461049350178685079078350271625123556615770971641579803747
Version: 
Total time: 15.27 hours.
Scaled time: 79.92 units (timescale=5.234).
Factorization parameters were as follows:
n: 3792836965893407649510913481992445852452088154360973811490027240984713769548667548438346408717654777081616383637614200167833108463949
m: 1000000000000000000000000000000000
deg: 5
c5: 970
c0: -1
skew: 0.25
# Murphy_E = 2.954e-10
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2300000, 4400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9871837
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 785075 x 785323
Total sieving time: 14.09 hours.
Total relation processing time: 0.50 hours.
Matrix solve time: 0.62 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,51,51,2.4,2.4,100000
total time: 15.27 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.94 BogoMIPS (lpj=3399972)
Total of 12 processors activated (81599.32 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
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e62650300Serge BatalovDecember 20, 2014 21:19:57 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 57 秒 (日本時間)
2350Ignacio SantosFebruary 18, 2015 19:59:08 UTC 2015 年 2 月 19 日 (木) 4 時 59 分 8 秒 (日本時間)

97×10169-13

c144

name 名前Jo Yeong Uk
date 日付April 7, 2015 14:05:11 UTC 2015 年 4 月 7 日 (火) 23 時 5 分 11 秒 (日本時間)
composite number 合成数
340595162865217372323721209965449136050680644510138020943792738115812440930035899221579466771801485407938417237422660393641725572152458452072273<144>
prime factors 素因数
699805047360202147807970729468786177394673602023<48>
486700066182727834980048581991448276954336187929400910179140133769818537821054785649012658911751<96>
factorization results 素因数分解の結果
Number: 32333_169
N=340595162865217372323721209965449136050680644510138020943792738115812440930035899221579466771801485407938417237422660393641725572152458452072273
  ( 144 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=699805047360202147807970729468786177394673602023
 r2=486700066182727834980048581991448276954336187929400910179140133769818537821054785649012658911751
Version: 
Total time: 28.26 hours.
Scaled time: 148.36 units (timescale=5.249).
Factorization parameters were as follows:
n: 340595162865217372323721209965449136050680644510138020943792738115812440930035899221579466771801485407938417237422660393641725572152458452072273
m: 10000000000000000000000000000000000
deg: 5
c5: 97
c0: -10
skew: 0.63
# Murphy_E = 1.713e-10
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2900000, 6600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 11531470
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1041028 x 1041276
Total sieving time: 25.93 hours.
Total relation processing time: 1.03 hours.
Matrix solve time: 1.11 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5800000,5800000,27,27,52,52,2.4,2.4,100000
total time: 28.26 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.24 BogoMIPS (lpj=3400120)
Total of 12 processors activated (81602.88 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
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e62950300Serge BatalovDecember 20, 2014 21:19:58 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 58 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:34 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 34 秒 (日本時間)
2350Ignacio SantosFebruary 12, 2015 20:58:44 UTC 2015 年 2 月 13 日 (金) 5 時 58 分 44 秒 (日本時間)

97×10173-13

c175

name 名前Serge Batalov
date 日付December 20, 2014 03:15:52 UTC 2014 年 12 月 20 日 (土) 12 時 15 分 52 秒 (日本時間)
composite number 合成数
3233333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<175>
prime factors 素因数
5463471520045484391535966375765705714991<40>
composite cofactor 合成数の残り
591809314182425764117907974613726555557979120691976756654815129531650145498692409187940912962420612187547522831168677031816355019467963<135>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=4196099200
Step 1 took 51106ms
Step 2 took 23221ms
********** Factor found in step 2: 5463471520045484391535966375765705714991
Found probable prime factor of 40 digits: 5463471520045484391535966375765705714991
Composite cofactor

c135

name 名前Serge Batalov
date 日付December 20, 2014 19:23:03 UTC 2014 年 12 月 21 日 (日) 4 時 23 分 3 秒 (日本時間)
composite number 合成数
591809314182425764117907974613726555557979120691976756654815129531650145498692409187940912962420612187547522831168677031816355019467963<135>
prime factors 素因数
3053296605110158793739904052744923417975613<43>
12741543035163599186917166343223300377887497<44>
15212156186793433498782636155624195102358448697183<50>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=1348039726
Step 1 took 29845ms
Step 2 took 15317ms
********** Factor found in step 2: 12741543035163599186917166343223300377887497
Found probable prime factor of 44 digits: 12741543035163599186917166343223300377887497

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=4182689011
Step 1 took 29935ms
Step 2 took 15279ms
********** Factor found in step 2: 3053296605110158793739904052744923417975613
Found probable prime factor of 43 digits: 3053296605110158793739904052744923417975613

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:14 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 14 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:35 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 35 秒 (日本時間)

97×10174-13

c146

name 名前Jo Yeong Uk
date 日付May 9, 2015 01:40:23 UTC 2015 年 5 月 9 日 (土) 10 時 40 分 23 秒 (日本時間)
composite number 合成数
98207782945848398276604214399846417571049659530024001951960995918739347816436587603474880322686876634334485537808023080168397278671757235908625461<146>
prime factors 素因数
2283440562386831858193379123197811852727753<43>
43008688101429665126474486349126986849919171479871030558340085600099554351204929608257385352568997716237<104>
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 98207782945848398276604214399846417571049659530024001951960995918739347816436587603474880322686876634334485537808023080168397278671757235908625461 (146 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1301520931
Step 1 took 24457ms
Step 2 took 8854ms
********** Factor found in step 2: 2283440562386831858193379123197811852727753
Found probable prime factor of 43 digits: 2283440562386831858193379123197811852727753
Probable prime cofactor 43008688101429665126474486349126986849919171479871030558340085600099554351204929608257385352568997716237 has 104 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
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:19:58 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 58 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:34 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 34 秒 (日本時間)
4511e6498 / 4342CypJanuary 30, 2015 10:00:40 UTC 2015 年 1 月 30 日 (金) 19 時 0 分 40 秒 (日本時間)

97×10176-13

c154

name 名前Jo Yeong Uk
date 日付September 26, 2015 07:19:46 UTC 2015 年 9 月 26 日 (土) 16 時 19 分 46 秒 (日本時間)
composite number 合成数
6453508214772157729535750965403528246986682808650804719944349656050538490253997300932588745103832212003958541202997366601790253973326659106314338783726367<154>
prime factors 素因数
2277019701303341802461546886937466966954456250428312100220919<61>
2834190767466016401240058770479194717164924002111014033087108014672026852500007513584775431193<94>
factorization results 素因数分解の結果
Number: 32333_176
N=6453508214772157729535750965403528246986682808650804719944349656050538490253997300932588745103832212003958541202997366601790253973326659106314338783726367
  ( 154 digits)
SNFS difficulty: 177 digits.
Divisors found:
 r1=2277019701303341802461546886937466966954456250428312100220919
 r2=2834190767466016401240058770479194717164924002111014033087108014672026852500007513584775431193
Version: 
Total time: 36.28 hours.
Scaled time: 190.55 units (timescale=5.252).
Factorization parameters were as follows:
n: 6453508214772157729535750965403528246986682808650804719944349656050538490253997300932588745103832212003958541202997366601790253973326659106314338783726367
m: 100000000000000000000000000000000000
deg: 5
c5: 970
c0: -1
skew: 0.25
# Murphy_E = 1.18e-10
type: snfs
lss: 1
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5

Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [4000000, 8000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18432736
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1342770 x 1343018
Total sieving time: 32.16 hours.
Total relation processing time: 1.83 hours.
Matrix solve time: 2.04 hours.
Time per square root: 0.25 hours.
Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,53,53,2.5,2.5,100000
total time: 36.28 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49365540k/51380224k available (5394k kernel code, 1086460k absent, 928224k reserved, 7014k data, 1296k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.70 BogoMIPS (lpj=3399854)
Total of 12 processors activated (81596.49 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
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:19:59 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 59 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:35 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 35 秒 (日本時間)
4511e6600 / 4342KTakahashiMay 2, 2015 19:27:06 UTC 2015 年 5 月 3 日 (日) 4 時 27 分 6 秒 (日本時間)

97×10178-13

c109

name 名前Cyp
date 日付December 21, 2014 09:55:20 UTC 2014 年 12 月 21 日 (日) 18 時 55 分 20 秒 (日本時間)
composite number 合成数
9841098905288654968239712092623321979185704809276358554257909636302861042301430496738733858942879096351326601<109>
prime factors 素因数
16743319985822024186283148733886028829151650593183<50>
587762696623007878077090624831725782718219182547073675609047<60>
factorization results 素因数分解の結果
12/20/14 21:01:31 v1.34.3, 
12/20/14 21:01:31 v1.34.3, ****************************
12/20/14 21:01:31 v1.34.3, Starting factorization of 9841098905288654968239712092623321979185704809276358554257909636302861042301430496738733858942879096351326601
12/20/14 21:01:31 v1.34.3, using pretesting plan: none
12/20/14 21:01:31 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/20/14 21:01:31 v1.34.3, ****************************
12/20/14 21:01:31 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C109
12/20/14 21:01:31 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C109
12/20/14 21:01:31 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C109
12/20/14 21:01:31 v1.34.3, final ECM pretested depth: 0.00
12/20/14 21:01:31 v1.34.3, scheduler: switching to sieve method
12/20/14 21:01:31 v1.34.3, nfs: commencing nfs on c109: 9841098905288654968239712092623321979185704809276358554257909636302861042301430496738733858942879096351326601
12/20/14 21:01:31 v1.34.3, nfs: commencing poly selection with 8 threads
12/20/14 21:01:31 v1.34.3, nfs: setting deadline of 423 seconds
12/20/14 21:08:43 v1.34.3, nfs: completed 88 ranges of size 250 in 431.5947 seconds
12/20/14 21:08:43 v1.34.3, nfs: best poly = # norm 2.252566e-10 alpha -5.998918 e 1.089e-09 rroots 3
12/20/14 21:08:43 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 21:17:11 v1.34.3, nfs: commencing lattice sieving with 8 threads
[10 lines snipped]
12/20/14 22:45:39 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 22:54:32 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 23:03:04 v1.34.3, nfs: commencing msieve filtering
12/20/14 23:04:25 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 23:13:10 v1.34.3, nfs: commencing msieve filtering
12/20/14 23:14:37 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 23:23:23 v1.34.3, nfs: commencing msieve filtering
12/21/14 07:49:28 v1.34.3, nfs: commencing nfs on c109: 9841098905288654968239712092623321979185704809276358554257909636302861042301430496738733858942879096351326601
12/21/14 07:49:28 v1.34.3, nfs: resuming with sieving at user specified special-q 2105963
12/21/14 07:49:28 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 10:46:39 v1.34.3, 
12/21/14 10:46:39 v1.34.3, ****************************
12/21/14 10:46:39 v1.34.3, Starting factorization of 9841098905288654968239712092623321979185704809276358554257909636302861042301430496738733858942879096351326601
12/21/14 10:46:39 v1.34.3, using pretesting plan: none
12/21/14 10:46:39 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/21/14 10:46:39 v1.34.3, ****************************
12/21/14 10:46:39 v1.34.3, nfs: previous data file found - commencing search for last special-q
12/21/14 10:46:47 v1.34.3, nfs: parsing special-q from .dat file
12/21/14 10:46:47 v1.34.3, nfs: commencing nfs on c109: 9841098905288654968239712092623321979185704809276358554257909636302861042301430496738733858942879096351326601
12/21/14 10:46:47 v1.34.3, nfs: resuming with filtering
12/21/14 10:46:47 v1.34.3, nfs: commencing msieve filtering
12/21/14 10:49:11 v1.34.3, nfs: commencing msieve linear algebra
12/21/14 10:54:19 v1.34.3, nfs: commencing msieve sqrt
12/21/14 10:55:19 v1.34.3, prp60 = 587762696623007878077090624831725782718219182547073675609047
12/21/14 10:55:19 v1.34.3, prp50 = 16743319985822024186283148733886028829151650593183
12/21/14 10:55:19 v1.34.3, NFS elapsed time = 520.0972 seconds.
12/21/14 10:55:19 v1.34.3, 
12/21/14 10:55:19 v1.34.3, 
12/21/14 10:55:19 v1.34.3, Total factoring time = 520.0981 seconds
--
Sat Dec 20 23:03:04 2014  
Sat Dec 20 23:03:04 2014  commencing relation filtering
Sat Dec 20 23:03:04 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 23:03:04 2014  commencing duplicate removal, pass 1
Sat Dec 20 23:03:30 2014  found 420152 hash collisions in 4625675 relations
Sat Dec 20 23:03:38 2014  added 32520 free relations
Sat Dec 20 23:03:38 2014  commencing duplicate removal, pass 2
Sat Dec 20 23:03:44 2014  found 171000 duplicates and 4487195 unique relations
Sat Dec 20 23:03:44 2014  memory use: 19.6 MB
Sat Dec 20 23:03:44 2014  reading ideals above 100000
Sat Dec 20 23:03:44 2014  commencing singleton removal, initial pass
Sat Dec 20 23:04:21 2014  memory use: 172.2 MB
Sat Dec 20 23:04:21 2014  reading all ideals from disk
Sat Dec 20 23:04:22 2014  memory use: 149.7 MB
Sat Dec 20 23:04:22 2014  keeping 5389399 ideals with weight <= 200, target excess is 24698
Sat Dec 20 23:04:22 2014  commencing in-memory singleton removal
Sat Dec 20 23:04:22 2014  begin with 4487195 relations and 5389399 unique ideals
Sat Dec 20 23:04:24 2014  reduce to 840356 relations and 972900 ideals in 38 passes
Sat Dec 20 23:04:24 2014  max relations containing the same ideal: 60
Sat Dec 20 23:13:10 2014  
Sat Dec 20 23:13:10 2014  commencing relation filtering
Sat Dec 20 23:13:10 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 23:13:10 2014  commencing duplicate removal, pass 1
Sat Dec 20 23:13:40 2014  found 479491 hash collisions in 4987069 relations
Sat Dec 20 23:13:47 2014  added 87 free relations
Sat Dec 20 23:13:47 2014  commencing duplicate removal, pass 2
Sat Dec 20 23:13:53 2014  found 193846 duplicates and 4793310 unique relations
Sat Dec 20 23:13:53 2014  memory use: 20.6 MB
Sat Dec 20 23:13:53 2014  reading ideals above 100000
Sat Dec 20 23:13:53 2014  commencing singleton removal, initial pass
Sat Dec 20 23:14:34 2014  memory use: 172.2 MB
Sat Dec 20 23:14:34 2014  reading all ideals from disk
Sat Dec 20 23:14:34 2014  memory use: 160.0 MB
Sat Dec 20 23:14:35 2014  keeping 5536888 ideals with weight <= 200, target excess is 25800
Sat Dec 20 23:14:35 2014  commencing in-memory singleton removal
Sat Dec 20 23:14:35 2014  begin with 4793310 relations and 5536888 unique ideals
Sat Dec 20 23:14:37 2014  reduce to 1339356 relations and 1400403 ideals in 21 passes
Sat Dec 20 23:14:37 2014  max relations containing the same ideal: 80
Sat Dec 20 23:23:23 2014  
Sat Dec 20 23:23:23 2014  commencing relation filtering
Sat Dec 20 23:23:23 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 23:23:23 2014  commencing duplicate removal, pass 1
Sat Dec 20 23:23:55 2014  found 539025 hash collisions in 5321091 relations
Sat Dec 20 23:24:04 2014  added 72 free relations
Sat Dec 20 23:24:04 2014  commencing duplicate removal, pass 2
Sat Dec 20 23:24:10 2014  found 218500 duplicates and 5102663 unique relations
Sat Dec 20 23:24:10 2014  memory use: 20.6 MB
Sat Dec 20 23:24:10 2014  reading ideals above 100000
Sat Dec 20 23:24:10 2014  commencing singleton removal, initial pass
Sat Dec 20 23:24:53 2014  memory use: 172.2 MB
Sat Dec 20 23:24:53 2014  reading all ideals from disk
Sat Dec 20 23:24:53 2014  memory use: 170.4 MB
Sat Dec 20 23:24:53 2014  keeping 5675250 ideals with weight <= 200, target excess is 27073
Sat Dec 20 23:24:54 2014  commencing in-memory singleton removal
Sat Dec 20 23:24:54 2014  begin with 5102663 relations and 5675250 unique ideals
Sat Dec 20 23:24:58 2014  reduce to 1779797 relations and 1744324 ideals in 22 passes
Sat Dec 20 23:24:58 2014  max relations containing the same ideal: 100
Sat Dec 20 23:24:59 2014  relations with 0 large ideals: 73
Sat Dec 20 23:24:59 2014  relations with 1 large ideals: 187
Sat Dec 20 23:24:59 2014  relations with 2 large ideals: 2941
Sat Dec 20 23:24:59 2014  relations with 3 large ideals: 25935
Sat Dec 20 23:24:59 2014  relations with 4 large ideals: 126019
Sat Dec 20 23:24:59 2014  relations with 5 large ideals: 341946
Sat Dec 20 23:24:59 2014  relations with 6 large ideals: 531052
Sat Dec 20 23:24:59 2014  relations with 7+ large ideals: 751644
Sat Dec 20 23:24:59 2014  commencing 2-way merge
Sat Dec 20 23:25:00 2014  reduce to 965713 relation sets and 930597 unique ideals
Sat Dec 20 23:25:00 2014  ignored 357 oversize relation sets
Sat Dec 20 23:25:00 2014  commencing full merge
Sat Dec 20 23:25:23 2014  memory use: 45.7 MB
Sat Dec 20 23:25:23 2014  found 51905 cycles, need 208273
Sat Dec 20 23:25:23 2014  too few cycles, matrix probably cannot build
Sun Dec 21 10:46:47 2014  
Sun Dec 21 10:46:47 2014  commencing relation filtering
Sun Dec 21 10:46:47 2014  estimated available RAM is 15987.3 MB
Sun Dec 21 10:46:47 2014  commencing duplicate removal, pass 1
Sun Dec 21 10:47:29 2014  found 851443 hash collisions in 6879277 relations
Sun Dec 21 10:47:40 2014  added 144 free relations
Sun Dec 21 10:47:40 2014  commencing duplicate removal, pass 2
Sun Dec 21 10:47:49 2014  found 351063 duplicates and 6528358 unique relations
Sun Dec 21 10:47:49 2014  memory use: 37.3 MB
Sun Dec 21 10:47:49 2014  reading ideals above 100000
Sun Dec 21 10:47:49 2014  commencing singleton removal, initial pass
Sun Dec 21 10:48:44 2014  memory use: 172.2 MB
Sun Dec 21 10:48:44 2014  reading all ideals from disk
Sun Dec 21 10:48:44 2014  memory use: 218.4 MB
Sun Dec 21 10:48:45 2014  keeping 6195004 ideals with weight <= 200, target excess is 34772
Sun Dec 21 10:48:45 2014  commencing in-memory singleton removal
Sun Dec 21 10:48:46 2014  begin with 6528358 relations and 6195004 unique ideals
Sun Dec 21 10:48:51 2014  reduce to 3692695 relations and 2993860 ideals in 14 passes
Sun Dec 21 10:48:51 2014  max relations containing the same ideal: 139
Sun Dec 21 10:48:53 2014  removing 1138127 relations and 808877 ideals in 329250 cliques
Sun Dec 21 10:48:53 2014  commencing in-memory singleton removal
Sun Dec 21 10:48:54 2014  begin with 2554568 relations and 2993860 unique ideals
Sun Dec 21 10:48:56 2014  reduce to 2317204 relations and 1920922 ideals in 9 passes
Sun Dec 21 10:48:56 2014  max relations containing the same ideal: 109
Sun Dec 21 10:48:57 2014  removing 928105 relations and 598855 ideals in 329250 cliques
Sun Dec 21 10:48:57 2014  commencing in-memory singleton removal
Sun Dec 21 10:48:57 2014  begin with 1389099 relations and 1920922 unique ideals
Sun Dec 21 10:48:58 2014  reduce to 1180651 relations and 1083793 ideals in 10 passes
Sun Dec 21 10:48:58 2014  max relations containing the same ideal: 65
Sun Dec 21 10:48:59 2014  removing 225446 relations and 168924 ideals in 56522 cliques
Sun Dec 21 10:48:59 2014  commencing in-memory singleton removal
Sun Dec 21 10:48:59 2014  begin with 955205 relations and 1083793 unique ideals
Sun Dec 21 10:48:59 2014  reduce to 916808 relations and 874524 ideals in 7 passes
Sun Dec 21 10:48:59 2014  max relations containing the same ideal: 53
Sun Dec 21 10:49:00 2014  relations with 0 large ideals: 100
Sun Dec 21 10:49:00 2014  relations with 1 large ideals: 439
Sun Dec 21 10:49:00 2014  relations with 2 large ideals: 6168
Sun Dec 21 10:49:00 2014  relations with 3 large ideals: 39467
Sun Dec 21 10:49:00 2014  relations with 4 large ideals: 131059
Sun Dec 21 10:49:00 2014  relations with 5 large ideals: 243328
Sun Dec 21 10:49:00 2014  relations with 6 large ideals: 262046
Sun Dec 21 10:49:00 2014  relations with 7+ large ideals: 234201
Sun Dec 21 10:49:00 2014  commencing 2-way merge
Sun Dec 21 10:49:00 2014  reduce to 556392 relation sets and 514108 unique ideals
Sun Dec 21 10:49:00 2014  commencing full merge
Sun Dec 21 10:49:08 2014  memory use: 63.8 MB
Sun Dec 21 10:49:08 2014  found 279320 cycles, need 272308
Sun Dec 21 10:49:08 2014  weight of 272308 cycles is about 19173029 (70.41/cycle)
Sun Dec 21 10:49:08 2014  distribution of cycle lengths:
Sun Dec 21 10:49:08 2014  1 relations: 23761
Sun Dec 21 10:49:08 2014  2 relations: 26168
Sun Dec 21 10:49:08 2014  3 relations: 28284
Sun Dec 21 10:49:08 2014  4 relations: 28063
Sun Dec 21 10:49:08 2014  5 relations: 27562
Sun Dec 21 10:49:08 2014  6 relations: 25976
Sun Dec 21 10:49:08 2014  7 relations: 23390
Sun Dec 21 10:49:08 2014  8 relations: 19977
Sun Dec 21 10:49:08 2014  9 relations: 16965
Sun Dec 21 10:49:08 2014  10+ relations: 52162
Sun Dec 21 10:49:08 2014  heaviest cycle: 19 relations
Sun Dec 21 10:49:08 2014  commencing cycle optimization
Sun Dec 21 10:49:08 2014  start with 1677654 relations
Sun Dec 21 10:49:10 2014  pruned 48945 relations
Sun Dec 21 10:49:10 2014  memory use: 53.9 MB
Sun Dec 21 10:49:10 2014  distribution of cycle lengths:
Sun Dec 21 10:49:10 2014  1 relations: 23761
Sun Dec 21 10:49:10 2014  2 relations: 26718
Sun Dec 21 10:49:10 2014  3 relations: 29377
Sun Dec 21 10:49:10 2014  4 relations: 28994
Sun Dec 21 10:49:10 2014  5 relations: 28625
Sun Dec 21 10:49:10 2014  6 relations: 26762
Sun Dec 21 10:49:10 2014  7 relations: 23947
Sun Dec 21 10:49:10 2014  8 relations: 20232
Sun Dec 21 10:49:10 2014  9 relations: 16821
Sun Dec 21 10:49:10 2014  10+ relations: 47071
Sun Dec 21 10:49:10 2014  heaviest cycle: 19 relations
Sun Dec 21 10:49:11 2014  RelProcTime: 144
Sun Dec 21 10:49:11 2014  
Sun Dec 21 10:49:11 2014  commencing linear algebra
Sun Dec 21 10:49:11 2014  read 272308 cycles
Sun Dec 21 10:49:11 2014  cycles contain 878440 unique relations
Sun Dec 21 10:49:23 2014  read 878440 relations
Sun Dec 21 10:49:23 2014  using 20 quadratic characters above 67106588
Sun Dec 21 10:49:28 2014  building initial matrix
Sun Dec 21 10:49:38 2014  memory use: 111.2 MB
Sun Dec 21 10:49:38 2014  read 272308 cycles
Sun Dec 21 10:49:38 2014  matrix is 272130 x 272308 (82.1 MB) with weight 26041480 (95.63/col)
Sun Dec 21 10:49:38 2014  sparse part has weight 18262555 (67.07/col)
Sun Dec 21 10:49:40 2014  filtering completed in 2 passes
Sun Dec 21 10:49:40 2014  matrix is 271953 x 272131 (82.1 MB) with weight 26032984 (95.66/col)
Sun Dec 21 10:49:40 2014  sparse part has weight 18259231 (67.10/col)
Sun Dec 21 10:49:40 2014  matrix starts at (0, 0)
Sun Dec 21 10:49:40 2014  matrix is 271953 x 272131 (82.1 MB) with weight 26032984 (95.66/col)
Sun Dec 21 10:49:40 2014  sparse part has weight 18259231 (67.10/col)
Sun Dec 21 10:49:40 2014  saving the first 48 matrix rows for later
Sun Dec 21 10:49:40 2014  matrix includes 64 packed rows
Sun Dec 21 10:49:41 2014  matrix is 271905 x 272131 (78.5 MB) with weight 20628662 (75.80/col)
Sun Dec 21 10:49:41 2014  sparse part has weight 17858003 (65.62/col)
Sun Dec 21 10:49:41 2014  using block size 65536 for processor cache size 8192 kB
Sun Dec 21 10:49:42 2014  commencing Lanczos iteration (8 threads)
Sun Dec 21 10:49:42 2014  memory use: 74.1 MB
Sun Dec 21 10:49:57 2014  linear algebra at 4.5%, ETA 0h 5m
Sun Dec 21 10:54:18 2014  lanczos halted after 4301 iterations (dim = 271903)
Sun Dec 21 10:54:19 2014  recovered 30 nontrivial dependencies
Sun Dec 21 10:54:19 2014  BLanczosTime: 308
Sun Dec 21 10:54:19 2014  
Sun Dec 21 10:54:19 2014  commencing square root phase
Sun Dec 21 10:54:19 2014  reading relations for dependency 1
Sun Dec 21 10:54:19 2014  read 135688 cycles
Sun Dec 21 10:54:19 2014  cycles contain 438076 unique relations
Sun Dec 21 10:54:28 2014  read 438076 relations
Sun Dec 21 10:54:30 2014  multiplying 438076 relations
Sun Dec 21 10:54:50 2014  multiply complete, coefficients have about 16.67 million bits
Sun Dec 21 10:54:50 2014  initial square root is modulo 61673
Sun Dec 21 10:55:19 2014  sqrtTime: 60
--
n: 9841098905288654968239712092623321979185704809276358554257909636302861042301430496738733858942879096351326601
skew: 127494.03
c0: -445972718077144421683978432
c1: -64349284082648905590580
c2: 478583445664827298
c3: -3126624009083
c4: -93915558
c5: 216
Y0: -2146438713141750765045
Y1: 29757708847
rlim: 3060000
alim: 3060000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
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
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:01:40 UTC 2014 年 12 月 20 日 (土) 3 時 1 分 40 秒 (日本時間)

97×10180-13

c158

name 名前Jo Yeong Uk
date 日付January 10, 2016 03:07:59 UTC 2016 年 1 月 10 日 (日) 12 時 7 分 59 秒 (日本時間)
composite number 合成数
11176333443472024277016962856923263626768807451066721926726153193712288538098562926786454521315686430348908524909680752294831169460771688417845460113216424819<158>
prime factors 素因数
146557347519425166771103011370119175254819804966243749988779374539268929683<75>
76259113805199553529954801937664722927554485920252632301209009717932975523409612193<83>
factorization results 素因数分解の結果
Number: 32333_180
N=11176333443472024277016962856923263626768807451066721926726153193712288538098562926786454521315686430348908524909680752294831169460771688417845460113216424819
  ( 158 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=146557347519425166771103011370119175254819804966243749988779374539268929683
 r2=76259113805199553529954801937664722927554485920252632301209009717932975523409612193
Version: 
Total time: 52.46 hours.
Scaled time: 268.76 units (timescale=5.123).
Factorization parameters were as follows:
n: 11176333443472024277016962856923263626768807451066721926726153193712288538098562926786454521315686430348908524909680752294831169460771688417845460113216424819
m: 1000000000000000000000000000000000000
deg: 5
c5: 97
c0: -1
skew: 0.40
# Murphy_E = 8.811e-11
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [2900000, 5400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18381046
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1244654 x 1244902
Total sieving time: 49.43 hours.
Total relation processing time: 1.18 hours.
Matrix solve time: 1.69 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,5800000,5800000,28,28,53,53,2.5,2.5,100000
total time: 52.46 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
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:19:59 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 59 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:35 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 35 秒 (日本時間)
4511e6600 / 4342KTakahashiMay 18, 2015 20:08:04 UTC 2015 年 5 月 19 日 (火) 5 時 8 分 4 秒 (日本時間)

97×10181-13

c141

name 名前Jo Yeong Uk
date 日付February 4, 2016 08:45:47 UTC 2016 年 2 月 4 日 (木) 17 時 45 分 47 秒 (日本時間)
composite number 合成数
939754164442735976772565577463809872475193984202674954236397542218892049868607164599605571181589539005979437704693781427016147483294571646729<141>
prime factors 素因数
13744013727869851345971711402471265584074305438346653<53>
68375525741590336064040793953612668308879492372825901459499992010469293288966282610336093<89>
factorization results 素因数分解の結果
Number: 32333_181
N=939754164442735976772565577463809872475193984202674954236397542218892049868607164599605571181589539005979437704693781427016147483294571646729
  ( 141 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=13744013727869851345971711402471265584074305438346653
 r2=68375525741590336064040793953612668308879492372825901459499992010469293288966282610336093
Version: 
Total time: 55.76 hours.
Scaled time: 292.44 units (timescale=5.245).
Factorization parameters were as follows:
n: 939754164442735976772565577463809872475193984202674954236397542218892049868607164599605571181589539005979437704693781427016147483294571646729
m: 1000000000000000000000000000000000000
deg: 5
c5: 970
c0: -1
skew: 0.25
# Murphy_E = 7.412e-11
type: snfs
lss: 1
rlim: 6200000
alim: 6200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3100000, 5700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 17989217
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1386659 x 1386906
Total sieving time: 52.08 hours.
Total relation processing time: 1.21 hours.
Matrix solve time: 2.35 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,53,53,2.5,2.5,100000
total time: 55.76 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
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:00 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 0 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:36 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 36 秒 (日本時間)
4511e6600 / 4342KTakahashiMay 21, 2015 22:21:00 UTC 2015 年 5 月 22 日 (金) 7 時 21 分 0 秒 (日本時間)

97×10182-13

c180

name 名前Robert Backstrom
date 日付December 26, 2014 15:54:57 UTC 2014 年 12 月 27 日 (土) 0 時 54 分 57 秒 (日本時間)
composite number 合成数
274639712336136357201506271411987881876610323055579150032560378266655341317704351765338769500835244485970723972932415980067385826325773662900988136696961975140859027718791585265721<180>
prime factors 素因数
85935726729599269424283317132951134890023552551273912296820690496883810024613787<80>
3195873506723261772685694005715376779277880108060973368158260302874842085833427035526881793048772283<100>
factorization results 素因数分解の結果
Number: n
N=274639712336136357201506271411987881876610323055579150032560378266655341317704351765338769500835244485970723972932415980067385826325773662900988136696961975140859027718791585265721
  ( 180 digits)
SNFS difficulty: 183 digits.
Divisors found:

Sat Dec 27 02:51:08 2014  prp80 factor: 85935726729599269424283317132951134890023552551273912296820690496883810024613787
Sat Dec 27 02:51:08 2014  prp100 factor: 3195873506723261772685694005715376779277880108060973368158260302874842085833427035526881793048772283
Sat Dec 27 02:51:08 2014  elapsed time 00:36:53 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.279).
Factorization parameters were as follows:
#
#  N = 97*10^182-1 323(182)
#
n: 274639712336136357201506271411987881876610323055579150032560378266655341317704351765338769500835244485970723972932415980067385826325773662900988136696961975140859027718791585265721
m: 1000000000000000000000000000000000000
deg: 5
c5: 9700
c0: -1
skew: 0.16
# Murphy_E = 5.674e-11
type: snfs
lss: 1
rlim: 8200000
alim: 8200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8200000/8200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 9700000)
Primes: RFBsize:552319, AFBsize:552428,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 3678159 hash collisions in 30464332 relations (27898696 unique)
Msieve: matrix is 939563 x 939788 (263.6 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0hrs 28min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 13sec.

Prototype def-par.txt line would be:
snfs,183,5,0,0,0,0,0,0,0,0,8200000,8200000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.038914] smpboot: CPU0: Intel(R) Core(TM) i7-4790 CPU @ 3.60GHz (fam: 06, model: 3c, stepping: 03)
[    0.000000] Memory: 16059668K/16661464K available (7375K kernel code, 1160K rwdata, 3228K rodata, 1468K init, 1504K bss, 601796K reserved)
[    1.131637] [drm] Memory usable by graphics device = 2048M
[    0.000027] Calibrating delay loop (skipped), value calculated using timer frequency.. 7200.29 BogoMIPS (lpj=3600149)
[    0.136791] smpboot: Total of 8 processors activated (57602.38 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:19 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 19 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:41 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 41 秒 (日本時間)

97×10184-13

c134

name 名前KTakahashi
date 日付July 20, 2015 00:58:13 UTC 2015 年 7 月 20 日 (月) 9 時 58 分 13 秒 (日本時間)
composite number 合成数
16000088924800134401959461587790578209925394609321335810157699783485088897045270074623568972705156508644534708819587252153040719254323<134>
prime factors 素因数
45527192222023604383682155488724043957<38>
50609040412533387748675239730726238235571<41>
6944219283417238507009082984488532954864813519121466909<55>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM]
Input number is 16000088924800134401959461587790578209925394609321335810157699783485088897045270074623568972705156508644534708819587252153040719254323 (134 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3216053161
Step 1 took 38642ms
Step 2 took 17596ms
********** Factor found in step 2: 45527192222023604383682155488724043957
Found probable prime factor of 38 digits: 45527192222023604383682155488724043957
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=197779660
Step 1 took 21747ms
Step 2 took 10873ms
********** Factor found in step 2: 50609040412533387748675239730726238235571
Found probable prime factor of 41 digits: 50609040412533387748675239730726238235571
Probable prime cofactor 6944219283417238507009082984488532954864813519121466909 has 55 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:01 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 1 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:36 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 36 秒 (日本時間)
4511e6600 / 4342KTakahashiMay 31, 2015 11:03:44 UTC 2015 年 5 月 31 日 (日) 20 時 3 分 44 秒 (日本時間)

97×10185-13

c135

name 名前Jo Yeong Uk
date 日付August 25, 2016 00:12:17 UTC 2016 年 8 月 25 日 (木) 9 時 12 分 17 秒 (日本時間)
composite number 合成数
135644717811195761686824989980126626713512138927892339814964903173810739526654705886690319503728193447755484557555507807945080073645909<135>
prime factors 素因数
358954275243561180169169595691917283426521404467061451369832241513<66>
377888570122634075260188037257123296874322462467001523731360260660493<69>
factorization results 素因数分解の結果
Number: 32333_185
N=135644717811195761686824989980126626713512138927892339814964903173810739526654705886690319503728193447755484557555507807945080073645909
  ( 135 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=358954275243561180169169595691917283426521404467061451369832241513
 r2=377888570122634075260188037257123296874322462467001523731360260660493
Version: 
Total time: 74.99 hours.
Scaled time: 389.22 units (timescale=5.190).
Factorization parameters were as follows:
n: 135644717811195761686824989980126626713512138927892339814964903173810739526654705886690319503728193447755484557555507807945080073645909
m: 10000000000000000000000000000000000000
deg: 5
c5: 97
c0: -1
skew: 0.40
# Murphy_E = 5.511e-11
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [3700000, 7100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20449172
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1603557 x 1603805
Total sieving time: 69.71 hours.
Total relation processing time: 1.82 hours.
Matrix solve time: 3.35 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,54,54,2.5,2.5,100000
total time: 74.99 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49368528k/51380224k available (5398k kernel code, 1086460k absent, 925236k reserved, 7010k data, 1296k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.70 BogoMIPS (lpj=3399852)
Total of 12 processors activated (81596.44 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
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:02 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 2 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:36 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 36 秒 (日本時間)
4511e64342498CypJune 15, 2015 06:50:43 UTC 2015 年 6 月 15 日 (月) 15 時 50 分 43 秒 (日本時間)
3844KTakahashiJuly 28, 2015 09:15:15 UTC 2015 年 7 月 28 日 (火) 18 時 15 分 15 秒 (日本時間)

97×10187-13

c189

name 名前Robert Backstrom
date 日付December 22, 2014 02:04:23 UTC 2014 年 12 月 22 日 (月) 11 時 4 分 23 秒 (日本時間)
composite number 合成数
323333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<189>
prime factors 素因数
2421221100051116516180501724398598729137817230305045910422905849026794314917759<79>
133541432183333922108297573973228419534597350815224805911356747409547322624602151022639667774546608830559423787<111>
factorization results 素因数分解の結果
Number: n
N=323333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
  ( 189 digits)
SNFS difficulty: 188 digits.
Divisors found:

Mon Dec 22 13:00:39 2014  prp79 factor: 2421221100051116516180501724398598729137817230305045910422905849026794314917759
Mon Dec 22 13:00:39 2014  prp111 factor: 133541432183333922108297573973228419534597350815224805911356747409547322624602151022639667774546608830559423787
Mon Dec 22 13:00:39 2014  elapsed time 01:08:20 (Msieve 1.44 - dependency 3)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.271).
Factorization parameters were as follows:
#
#  N = 97*10^187-1 323(187)
#
n: 323333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
m: 10000000000000000000000000000000000000
deg: 5
c5: 9700
c0: -1
skew: 0.16
# Murphy_E = 3.546e-11
type: snfs
lss: 1
rlim: 9900000
alim: 9900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9900000/9900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 13350000)
Primes: RFBsize:658445, AFBsize:658822,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 4580411 hash collisions in 32249907 relations (29351801 unique)
Msieve: matrix is 1222947 x 1223175 (345.6 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0hrs 51min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 33sec.

Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,9900000,9900000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.038684] smpboot: CPU0: Intel(R) Core(TM) i7-4790 CPU @ 3.60GHz (fam: 06, model: 3c, stepping: 03)
[    0.000000] Memory: 16059644K/16661464K available (7373K kernel code, 1159K rwdata, 3228K rodata, 1468K init, 1504K bss, 601820K reserved)
[    1.137325] [drm] Memory usable by graphics device = 2048M
[    0.000027] Calibrating delay loop (skipped), value calculated using timer frequency.. 7200.13 BogoMIPS (lpj=3600065)
[    0.136532] smpboot: Total of 8 processors activated (57601.04 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:20 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 20 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:41 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 41 秒 (日本時間)
4511e62000 / 3916Serge BatalovDecember 20, 2014 04:01:54 UTC 2014 年 12 月 20 日 (土) 13 時 1 分 54 秒 (日本時間)

97×10188-13

c162

name 名前Jo Yeong Uk
date 日付December 29, 2016 13:59:37 UTC 2016 年 12 月 29 日 (木) 22 時 59 分 37 秒 (日本時間)
composite number 合成数
188215983982137922743445358828578677756817164275661886298321972261169601212503373970960410429745700904698785622558566591729925936172570447434530605575668483516243<162>
prime factors 素因数
415763288253900856733084026252198592205534570407168892912938741358958931293<75>
452699863839822816370366639962430682751923548162698860445994081354755387839351596887151<87>
factorization results 素因数分解の結果
Number: 32333_188
N=188215983982137922743445358828578677756817164275661886298321972261169601212503373970960410429745700904698785622558566591729925936172570447434530605575668483516243
  ( 162 digits)
SNFS difficulty: 190 digits.
Divisors found:
 r1=415763288253900856733084026252198592205534570407168892912938741358958931293
 r2=452699863839822816370366639962430682751923548162698860445994081354755387839351596887151
Version: 
Total time: 117.62 hours.
Scaled time: 601.03 units (timescale=5.110).
Factorization parameters were as follows:
n: 188215983982137922743445358828578677756817164275661886298321972261169601212503373970960410429745700904698785622558566591729925936172570447434530605575668483516243
m: 20000000000000000000000000000000000000
deg: 5
c5: 12125
c0: -4
skew: 0.20
# Murphy_E = 3.235e-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, 9700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 21286317
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1927052 x 1927300
Total sieving time: 109.20 hours.
Total relation processing time: 2.96 hours.
Matrix solve time: 5.28 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,190,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,54,54,2.5,2.5,100000
total time: 117.62 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
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:03 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 3 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:37 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 37 秒 (日本時間)
4511e6498 / 4342CypFebruary 6, 2015 07:25:31 UTC 2015 年 2 月 6 日 (金) 16 時 25 分 31 秒 (日本時間)

97×10189-13

c187

name 名前Serge Batalov
date 日付December 19, 2014 18:02:04 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 4 秒 (日本時間)
composite number 合成数
8352708171876345474898820287608714371824679238784121243434082493756996469473865495565314733488332041677430465857228967536381641264100576939636614139326616722638422457590631189184534573323<187>
prime factors 素因数
18444411122820470893278999563601637<35>
452858490100662605746321352165582141925000368178677674984579028599317811763393743240707938262985808191834176297191855892337643037996850331359758299212079<153>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3139638628
Step 1 took 4648ms
Step 2 took 2946ms
********** Factor found in step 2: 18444411122820470893278999563601637
Found probable prime factor of 35 digits: 18444411122820470893278999563601637
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)

97×10190-13

c147

name 名前Cyp
date 日付July 26, 2015 23:10:10 UTC 2015 年 7 月 27 日 (月) 8 時 10 分 10 秒 (日本時間)
composite number 合成数
189038782645185793236219345699301814243605505635802337678178399897938602738215843971768573639478650813900729855841855920383634779787711244967746193<147>
prime factors 素因数
1079796697969632287276984954349733105685471<43>
175068865278658440798219470566690740767428830559471273178222566272940651345325368440448528748723078455183<105>
factorization results 素因数分解の結果
Run 235 out of 498:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3660959398
Step 1 took 42109ms
Step 2 took 15572ms
********** Factor found in step 2: 1079796697969632287276984954349733105685471
Found probable prime factor of 43 digits: 1079796697969632287276984954349733105685471
Probable prime cofactor 175068865278658440798219470566690740767428830559471273178222566272940651345325368440448528748723078455183 has 105 digits
software ソフトウェア
GMP-ECM 6.4.4
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
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 1507300Serge BatalovDecember 20, 2014 21:20:03 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 3 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:37 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 37 秒 (日本時間)
4511e6235 / 4342CypJuly 26, 2015 23:10:10 UTC 2015 年 7 月 27 日 (月) 8 時 10 分 10 秒 (日本時間)

97×10192-13

c171

name 名前Jo Yeong Uk
date 日付April 28, 2017 11:31:01 UTC 2017 年 4 月 28 日 (金) 20 時 31 分 1 秒 (日本時間)
composite number 合成数
477083434894412273240066442425824952932349885454620468793187181985067867088163535613595273436831935603959335673179722579090885111871558084769971437161534596934521743162097<171>
prime factors 素因数
14280377478930084885916230337268223964973253075923<50>
33408321005402186386736082348482596734274275565439209587469942994073419089599061894033486545320223186940256180763934285739<122>
factorization results 素因数分解の結果
Number: 32333_192
N=477083434894412273240066442425824952932349885454620468793187181985067867088163535613595273436831935603959335673179722579090885111871558084769971437161534596934521743162097
  ( 171 digits)
SNFS difficulty: 193 digits.
Divisors found:
 r1=14280377478930084885916230337268223964973253075923
 r2=33408321005402186386736082348482596734274275565439209587469942994073419089599061894033486545320223186940256180763934285739
Version: 
Total time: 163.81 hours.
Scaled time: 861.29 units (timescale=5.258).
Factorization parameters were as follows:
n: 477083434894412273240066442425824952932349885454620468793187181985067867088163535613595273436831935603959335673179722579090885111871558084769971437161534596934521743162097
m: 100000000000000000000000000000000000000
deg: 5
c5: 9700
c0: -1
skew: 0.16
# Murphy_E = 2.206e-11
type: snfs
lss: 1
rlim: 11000000
alim: 11000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11000000/11000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [5500000, 12500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 23488449
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2276191 x 2276439
Total sieving time: 151.22 hours.
Total relation processing time: 4.41 hours.
Matrix solve time: 7.99 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,11000000,11000000,28,28,55,55,2.5,2.5,100000
total time: 163.81 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49367836k/51380224k available (5467k kernel code, 1086464k absent, 925924k reserved, 6954k data, 1316k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.09 BogoMIPS (lpj=3400049)
Total of 12 processors activated (81601.17 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
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:03 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 3 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:37 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 37 秒 (日本時間)
4511e6498 / 4342CypJuly 27, 2015 03:52:24 UTC 2015 年 7 月 27 日 (月) 12 時 52 分 24 秒 (日本時間)

97×10193-13

c144

name 名前Jo Yeong Uk
date 日付June 16, 2017 10:52:32 UTC 2017 年 6 月 16 日 (金) 19 時 52 分 32 秒 (日本時間)
composite number 合成数
327864356165378318120103066655875837830546161550845561834444104832913743590638144625441894615635425352154399217346237058574607728256541514663303<144>
prime factors 素因数
9756734958946380578683656640900976034246752169884621<52>
33603901053471277332107946781486434008483998683166743311600770596720715574084147044515412643<92>
factorization results 素因数分解の結果
Number: 32333_193
N=327864356165378318120103066655875837830546161550845561834444104832913743590638144625441894615635425352154399217346237058574607728256541514663303
  ( 144 digits)
SNFS difficulty: 195 digits.
Divisors found:
 r1=9756734958946380578683656640900976034246752169884621
 r2=33603901053471277332107946781486434008483998683166743311600770596720715574084147044515412643
Version: 
Total time: 173.17 hours.
Scaled time: 908.10 units (timescale=5.244).
Factorization parameters were as follows:
n: 327864356165378318120103066655875837830546161550845561834444104832913743590638144625441894615635425352154399217346237058574607728256541514663303
m: 200000000000000000000000000000000000000
deg: 5
c5: 12125
c0: -4
skew: 0.20
# Murphy_E = 2.012e-11
type: snfs
lss: 1
rlim: 12000000
alim: 12000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12000000/12000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6000000, 13200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 23417887
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2373895 x 2374141
Total sieving time: 159.19 hours.
Total relation processing time: 4.63 hours.
Matrix solve time: 9.16 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12000000,12000000,28,28,55,55,2.5,2.5,100000
total time: 173.17 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49367836k/51380224k available (5467k kernel code, 1086464k absent, 925924k reserved, 6954k data, 1316k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.09 BogoMIPS (lpj=3400049)
Total of 12 processors activated (81601.17 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
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:04 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 4 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:38 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 38 秒 (日本時間)
4511e6498 / 4342CypFebruary 2, 2015 09:43:56 UTC 2015 年 2 月 2 日 (月) 18 時 43 分 56 秒 (日本時間)

97×10194-13

c147

name 名前Jo Yeong Uk
date 日付August 1, 2017 11:01:09 UTC 2017 年 8 月 1 日 (火) 20 時 1 分 9 秒 (日本時間)
composite number 合成数
409049319980846067553190532315212248573421872242933536844358662336545719785064982662675880173143188828511480496226502287338900202875009654724962789<147>
prime factors 素因数
47000301757169636073723064831839287240657771311<47>
8703121143651973601375472160642783137204201766662801189644142110761047673793807634863156692920973099<100>
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 409049319980846067553190532315212248573421872242933536844358662336545719785064982662675880173143188828511480496226502287338900202875009654724962789 (147 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=582402452
Step 1 took 24845ms
********** Factor found in step 1: 47000301757169636073723064831839287240657771311
Found probable prime factor of 47 digits: 47000301757169636073723064831839287240657771311
Probable prime cofactor 8703121143651973601375472160642783137204201766662801189644142110761047673793807634863156692920973099 has 100 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
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:05 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 5 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:38 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 38 秒 (日本時間)
4511e6498 / 4342CypJune 29, 2015 15:50:19 UTC 2015 年 6 月 30 日 (火) 0 時 50 分 19 秒 (日本時間)

97×10195-13

c177

name 名前Serge Batalov
date 日付December 21, 2014 01:52:33 UTC 2014 年 12 月 21 日 (日) 10 時 52 分 33 秒 (日本時間)
composite number 合成数
184427600464162569500670632059353339960016550233050565237827373797516313529223082893925588062283229657566451593578143234732156049480923102443878240421976562714844766461709228947<177>
prime factors 素因数
5132052294961789683826689854189<31>
composite cofactor 合成数の残り
35936422675431001541116712786388426728380871988340257327256245731953256641723817278405230910771694010111784641557474297060716638541433100683063423<146>
factorization results 素因数分解の結果
Input number is 184427600464162569500670632059353339960016550233050565237827373797516313529223082893925588062283229657566451593578143234732156049480923102443878240421976562714844766461709228947 (177 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=764522862
Step 1 took 15563ms
Step 2 took 10874ms
********** Factor found in step 2: 5132052294961789683826689854189
Found probable prime factor of 31 digits: 5132052294961789683826689854189
Composite cofactor 35936422675431001541116712786388426728380871988340257327256245731953256641723817278405230910771694010111784641557474297060716638541433100683063423 has 146 digits

c146

name 名前Jo Yeong Uk
date 日付August 19, 2017 11:25:39 UTC 2017 年 8 月 19 日 (土) 20 時 25 分 39 秒 (日本時間)
composite number 合成数
35936422675431001541116712786388426728380871988340257327256245731953256641723817278405230910771694010111784641557474297060716638541433100683063423<146>
prime factors 素因数
2264460488881407797601050722530342348974856826391<49>
15869750367418766735086292261791021169296214330999970779712334935794825725632525366959744210401753<98>
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 35936422675431001541116712786388426728380871988340257327256245731953256641723817278405230910771694010111784641557474297060716638541433100683063423 (146 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=115565578
Step 1 took 24442ms
Step 2 took 8876ms
********** Factor found in step 2: 2264460488881407797601050722530342348974856826391
Found probable prime factor of 49 digits: 2264460488881407797601050722530342348974856826391
Probable prime cofactor 15869750367418766735086292261791021169296214330999970779712334935794825725632525366959744210401753 has 98 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
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 20, 2014 21:20:05 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 5 秒 (日本時間)
4511e6585 / 4409CypJuly 27, 2015 00:00:55 UTC 2015 年 7 月 27 日 (月) 9 時 0 分 55 秒 (日本時間)

97×10197-13

c144

name 名前Jo Yeong Uk
date 日付February 1, 2018 10:50:37 UTC 2018 年 2 月 1 日 (木) 19 時 50 分 37 秒 (日本時間)
composite number 合成数
148957037313048656897044039908351711402954666891056352193007656136984843450840381154901198084481505962465002858391318523696889426960410379594901<144>
prime factors 素因数
5373303733444827166349047301018285069245175744648368966494031471<64>
27721685708161567273357716086494433345762359152761813885330784396816121629718331<80>
factorization results 素因数分解の結果
Number: 32333_197
N=148957037313048656897044039908351711402954666891056352193007656136984843450840381154901198084481505962465002858391318523696889426960410379594901
  ( 144 digits)
SNFS difficulty: 198 digits.
Divisors found:
 r1=5373303733444827166349047301018285069245175744648368966494031471
 r2=27721685708161567273357716086494433345762359152761813885330784396816121629718331
Version: 
Total time: 230.49 hours.
Scaled time: 1211.22 units (timescale=5.255).
Factorization parameters were as follows:
n: 148957037313048656897044039908351711402954666891056352193007656136984843450840381154901198084481505962465002858391318523696889426960410379594901
m: 1000000000000000000000000000000000000000
deg: 5
c5: 9700
c0: -1
skew: 0.16
# Murphy_E = 1.367e-11
type: snfs
lss: 1
rlim: 14000000
alim: 14000000
lpbr: 29
lpba: 29
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14000000/14000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 55/55
Sieved rational special-q in [7000000, 16000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 35351345
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2933671 x 2933918
Total sieving time: 206.68 hours.
Total relation processing time: 8.27 hours.
Matrix solve time: 15.23 hours.
Time per square root: 0.30 hours.
Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14000000,14000000,29,29,55,55,2.5,2.5,100000
total time: 230.49 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49367700k/51380224k available (5484k kernel code, 1086464k absent, 926060k reserved, 6944k data, 1328k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.09 BogoMIPS (lpj=3400048)
Total of 12 processors activated (81601.15 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
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:06 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 6 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:39 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 39 秒 (日本時間)
4511e6498 / 4342CypMay 29, 2015 10:51:29 UTC 2015 年 5 月 29 日 (金) 19 時 51 分 29 秒 (日本時間)

97×10198-13

c157

name 名前Jo Yeong Uk
date 日付April 7, 2018 03:38:37 UTC 2018 年 4 月 7 日 (土) 12 時 38 分 37 秒 (日本時間)
composite number 合成数
2520657967822833901473683124348834266252178082478896410225678016750185041355355815185492905810604229478678558360969248838559510268050264897031864561520096769<157>
prime factors 素因数
423516853761285714855180378532551393258357343178937473273874853<63>
5951730008939849359413522086561553243135262337573878537711826821550223178403853300415031702573<94>
factorization results 素因数分解の結果
Number: 32333_198
N=2520657967822833901473683124348834266252178082478896410225678016750185041355355815185492905810604229478678558360969248838559510268050264897031864561520096769
  ( 157 digits)
SNFS difficulty: 200 digits.
Divisors found:
 r1=423516853761285714855180378532551393258357343178937473273874853
 r2=5951730008939849359413522086561553243135262337573878537711826821550223178403853300415031702573
Version: 
Total time: 243.81 hours.
Scaled time: 1278.78 units (timescale=5.245).
Factorization parameters were as follows:
n: 2520657967822833901473683124348834266252178082478896410225678016750185041355355815185492905810604229478678558360969248838559510268050264897031864561520096769
m: 2000000000000000000000000000000000000000
deg: 5
c5: 12125
c0: -4
skew: 0.20
# Murphy_E = 1.246e-11
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
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: 56/56
Sieved rational special-q in [8000000, 17100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 38535760
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3268067 x 3268312
Total sieving time: 217.67 hours.
Total relation processing time: 6.03 hours.
Matrix solve time: 19.79 hours.
Time per square root: 0.32 hours.
Prototype def-par.txt line would be:
snfs,200,5,0,0,0,0,0,0,0,0,16000000,16000000,29,29,56,56,2.5,2.5,100000
total time: 243.81 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
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:06 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 6 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:39 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 39 秒 (日本時間)
4511e6498 / 4342452CypMay 13, 2015 18:46:25 UTC 2015 年 5 月 14 日 (木) 3 時 46 分 25 秒 (日本時間)
46CypJuly 26, 2015 14:31:10 UTC 2015 年 7 月 26 日 (日) 23 時 31 分 10 秒 (日本時間)

97×10200-13

c153

name 名前Jo Yeong Uk
date 日付July 5, 2018 23:18:55 UTC 2018 年 7 月 6 日 (金) 8 時 18 分 55 秒 (日本時間)
composite number 合成数
118488852445355935024584049896503308810995741045378637451244350209999722774080433516603741450386602826270762646064609696365029480379288744818141641927397<153>
prime factors 素因数
2033620448884747704450522111313014379515481161202598078587913<61>
58264978851061458611105195348551402447902378899831457007234015434151414343504597589786287869<92>
factorization results 素因数分解の結果
Number: 32333_200
N=118488852445355935024584049896503308810995741045378637451244350209999722774080433516603741450386602826270762646064609696365029480379288744818141641927397
  ( 153 digits)
SNFS difficulty: 201 digits.
Divisors found:
 r1=2033620448884747704450522111313014379515481161202598078587913
 r2=58264978851061458611105195348551402447902378899831457007234015434151414343504597589786287869
Version: 
Total time: 236.98 hours.
Scaled time: 1235.86 units (timescale=5.215).
Factorization parameters were as follows:
n: 118488852445355935024584049896503308810995741045378637451244350209999722774080433516603741450386602826270762646064609696365029480379288744818141641927397
m: 10000000000000000000000000000000000000000
deg: 5
c5: 97
c0: -1
skew: 0.40
# Murphy_E = 1.314e-11
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [8000000, 16900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 38597780
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3246405 x 3246652
Total sieving time: 214.08 hours.
Total relation processing time: 3.02 hours.
Matrix solve time: 19.62 hours.
Time per square root: 0.26 hours.
Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,16000000,16000000,29,29,56,56,2.6,2.6,100000
total time: 236.98 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49367612k/51380224k available (5516k kernel code, 1086464k absent, 926148k reserved, 6912k data, 1332k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.92 BogoMIPS (lpj=3399960)
Total of 12 processors activated (81599.04 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
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:07 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 7 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:39 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 39 秒 (日本時間)
4511e6498 / 4342CypMay 15, 2015 06:55:06 UTC 2015 年 5 月 15 日 (金) 15 時 55 分 6 秒 (日本時間)

97×10201-13

c194

name 名前Bob Backstrom
date 日付May 9, 2021 23:18:56 UTC 2021 年 5 月 10 日 (月) 8 時 18 分 56 秒 (日本時間)
composite number 合成数
19068331501773896114724664446122506106515706452654046174300098283036104349813309662401990488790554433816396663289600286059256207164208395946337634924228350982775544504948961437535453176219851309<194>
prime factors 素因数
2029069322826586619466210733767012079825913<43>
29252882836591972593499647135652266601755291716170284830021843577047237<71>
321252959240640969111044128565105915551234700489145902119151634255850720564577489<81>
factorization results 素因数分解の結果
#
# N = 97x10^201-1 = 323(201)
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 19068331501773896114724664446122506106515706452654046174300098283036104349813309662401990488790554433816396663289600286059256207164208395946337634924228350982775544504948961437535453176
219851309 (194 digits)
# Using B1=38880000, B2=192392390206, polynomial Dickson(12), sigma=1:2037453447
# Step 1 took 126000ms
# Step 2 took 38072ms
# ********** Factor found in step 2: 2029069322826586619466210733767012079825913
# Found prime factor of 43 digits: 2029069322826586619466210733767012079825913
# Composite cofactor 9397575177574926746397987632911862455082570987284220251436190247889304005911949630731889154239560617577364294033860762814443584398693322340747099847893 has 151 digits
#
n: 9397575177574926746397987632911862455082570987284220251436190247889304005911949630731889154239560617577364294033860762814443584398693322340747099847893
m: 10000000000000000000000000000000000000000
deg: 5
c5: 970
c0: -1
skew: 0.25
# Murphy_E = 1.104e-11
type: snfs
lss: 1
rlim: 16900000
alim: 16900000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6



Number: n
N=9397575177574926746397987632911862455082570987284220251436190247889304005911949630731889154239560617577364294033860762814443584398693322340747099847893  ( 151 digits)
SNFS difficulty: 202 digits.
Divisors found:

Mon May 10 09:10:24 2021  p71 factor: 29252882836591972593499647135652266601755291716170284830021843577047237
Mon May 10 09:10:24 2021  p81 factor: 321252959240640969111044128565105915551234700489145902119151634255850720564577489
Mon May 10 09:10:24 2021  elapsed time 01:35:41 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.340).
Factorization parameters were as follows:
#
# N = 97x10^201-1 = 323(201)
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 19068331501773896114724664446122506106515706452654046174300098283036104349813309662401990488790554433816396663289600286059256207164208395946337634924228350982775544504948961437535453176
219851309 (194 digits)
# Using B1=38880000, B2=192392390206, polynomial Dickson(12), sigma=1:2037453447
# Step 1 took 126000ms
# Step 2 took 38072ms
# ********** Factor found in step 2: 2029069322826586619466210733767012079825913
# Found prime factor of 43 digits: 2029069322826586619466210733767012079825913
# Composite cofactor 9397575177574926746397987632911862455082570987284220251436190247889304005911949630731889154239560617577364294033860762814443584398693322340747099847893 has 151 digits
#
n: 9397575177574926746397987632911862455082570987284220251436190247889304005911949630731889154239560617577364294033860762814443584398693322340747099847893
m: 10000000000000000000000000000000000000000
deg: 5
c5: 970
c0: -1
skew: 0.25
# Murphy_E = 1.104e-11
type: snfs
lss: 1
rlim: 16900000
alim: 16900000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16900000/16900000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7645531 hash collisions in 57768257 relations (52471723 unique)
Msieve: matrix is 1994154 x 1994379 (694.8 MB)

Sieving start time : 2021/05/09 21:33:38
Sieving end time  : 2021/05/10 07:33:14

Total sieving time: 9hrs 59min 36secs.

Total relation processing time: 1hrs 15min 18sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 17sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16900000,16900000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118393] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241108K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486128K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.30 BogoMIPS (lpj=12798612)
[    0.152049] smpboot: Total of 16 processors activated (102388.89 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:07 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 7 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:40 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 40 秒 (日本時間)
4511e6498 / 4342CypJuly 26, 2015 20:14:49 UTC 2015 年 7 月 27 日 (月) 5 時 14 分 49 秒 (日本時間)

97×10202-13

c199

name 名前Serge Batalov
date 日付December 19, 2014 18:04:46 UTC 2014 年 12 月 20 日 (土) 3 時 4 分 46 秒 (日本時間)
composite number 合成数
2856124915714870399651376092762226128537399041873146831320795828290947850692389457660156468534042358982512859923267406903577811737201174250119986691046784503902879975030990427564844341192093539563219<199>
prime factors 素因数
6410870880310677385126174142952372089<37>
composite cofactor 合成数の残り
445512781186517931203764832540145308335520517341543197842993356724497766223322870433738618667362420891797892122615741814961594567241596147812395311032244824224171<162>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=2599420808
Step 1 took 5348ms
Step 2 took 3168ms
********** Factor found in step 2: 6410870880310677385126174142952372089
Found probable prime factor of 37 digits: 6410870880310677385126174142952372089
Composite cofactor

c162

name 名前Cyp
date 日付June 17, 2015 06:14:43 UTC 2015 年 6 月 17 日 (水) 15 時 14 分 43 秒 (日本時間)
composite number 合成数
445512781186517931203764832540145308335520517341543197842993356724497766223322870433738618667362420891797892122615741814961594567241596147812395311032244824224171<162>
prime factors 素因数
7585950910755640803421734823075652994729738780299<49>
58728666508354738939314402658033597991726861850536013877961743975328549287055005151777130813651585721348136754529<113>
factorization results 素因数分解の結果
Run 473 out of 593:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=626925364
Step 1 took 50251ms
Step 2 took 16948ms
********** Factor found in step 2: 7585950910755640803421734823075652994729738780299
Found probable prime factor of 49 digits: 7585950910755640803421734823075652994729738780299
Probable prime cofactor 58728666508354738939314402658033597991726861850536013877961743975328549287055005151777130813651585721348136754529 has 113 digits
software ソフトウェア
GMP-ECM 6.4.4
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
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:28 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 28 秒 (日本時間)
403e60 / 413--
4511e6473 / 4429CypJune 17, 2015 06:14:43 UTC 2015 年 6 月 17 日 (水) 15 時 14 分 43 秒 (日本時間)

97×10203-13

c185

name 名前Bob Backstrom
date 日付September 10, 2021 22:02:15 UTC 2021 年 9 月 11 日 (土) 7 時 2 分 15 秒 (日本時間)
composite number 合成数
17841639870580136059514079193484867177080888773896691797952410838513370601610892569568334649850826940583256549444521442223110733851972416981834847084173879971499338230805679220624440297<185>
prime factors 素因数
4321088189958434433717622270860100878495545501309<49>
4128969159213517232282931510121030942829630380273684208205329978963802433186599644714175774826878564667041699452873606318808475581491933<136>
factorization results 素因数分解の結果
Number: n
N=17841639870580136059514079193484867177080888773896691797952410838513370601610892569568334649850826940583256549444521442223110733851972416981834847084173879971499338230805679220624440297  ( 185 digits)
SNFS difficulty: 204 digits.
Divisors found:

Sat Sep 11 07:35:11 2021  p49 factor: 4321088189958434433717622270860100878495545501309
Sat Sep 11 07:35:11 2021  p136 factor: 4128969159213517232282931510121030942829630380273684208205329978963802433186599644714175774826878564667041699452873606318808475581491933
Sat Sep 11 07:35:11 2021  elapsed time 02:37:17 (Msieve 1.54 - dependency 7)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.344).
Factorization parameters were as follows:
#
# N = 97x10^203-1 = 323(203)
#
n: 17841639870580136059514079193484867177080888773896691797952410838513370601610892569568334649850826940583256549444521442223110733851972416981834847084173879971499338230805679220624440297
m: 10000000000000000000000000000000000000000
deg: 5
c5: 97000
c0: -1
skew: 0.10
# Murphy_E = 7.688e-12
type: snfs
lss: 1
rlim: 18300000
alim: 18300000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18300000/18300000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 50750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10868355 hash collisions in 67679149 relations (59227410 unique)
Msieve: matrix is 2434756 x 2434984 (836.6 MB)

Sieving start time : 2021/09/10 10:56:16
Sieving end time  : 2021/09/11 04:53:45

Total sieving time: 17hrs 57min 29secs.

Total relation processing time: 1hrs 56min 8sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 23min 51sec.

Prototype def-par.txt line would be:
snfs,204,5,0,0,0,0,0,0,0,0,18300000,18300000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116939] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239968K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2736K init, 4964K bss, 487268K reserved, 0K cma-reserved)
[    0.154077] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.20 BogoMIPS (lpj=12798404)
[    0.152034] smpboot: Total of 16 processors activated (102387.23 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:08 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 8 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:40 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 40 秒 (日本時間)
4511e6498 / 4342CypJuly 26, 2015 18:22:29 UTC 2015 年 7 月 27 日 (月) 3 時 22 分 29 秒 (日本時間)

97×10205-13

c206

name 名前Serge Batalov
date 日付December 19, 2014 18:17:15 UTC 2014 年 12 月 20 日 (土) 3 時 17 分 15 秒 (日本時間)
composite number 合成数
14057971014492753623188405797101449275362318840579710144927536231884057971014492753623188405797101449275362318840579710144927536231884057971014492753623188405797101449275362318840579710144927536231884057971<206>
prime factors 素因数
2236303261117338499653607263259<31>
composite cofactor 合成数の残り
6286254310369730294807543114038795326900933788995799660670185279830526129242362708637624386888463714346119101916327598396389759301336140474405932413056206558135316671068440969<175>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=1360920474
Step 1 took 5381ms
Step 2 took 3250ms
********** Factor found in step 2: 2236303261117338499653607263259
Found probable prime factor of 31 digits: 2236303261117338499653607263259
Composite cofactor

c175

name 名前Bob Backstrom
date 日付May 28, 2022 08:21:25 UTC 2022 年 5 月 28 日 (土) 17 時 21 分 25 秒 (日本時間)
composite number 合成数
6286254310369730294807543114038795326900933788995799660670185279830526129242362708637624386888463714346119101916327598396389759301336140474405932413056206558135316671068440969<175>
prime factors 素因数
47522493336364001673315519025169217992171175757<47>
132279555827924464252288384863559082874697942435651758173076087183621063548275002042433643627512005635922457877774486646095318317<129>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 6286254310369730294807543114038795326900933788995799660670185279830526129242362708637624386888463714346119101916327598396389759301336140474405932413056206558135316671068440969 (175 digits)
Using B1=32780000, B2=144292047916, polynomial Dickson(12), sigma=1:2905677919
Step 1 took 83667ms
Step 2 took 25776ms
********** Factor found in step 2: 47522493336364001673315519025169217992171175757
Found prime factor of 47 digits: 47522493336364001673315519025169217992171175757
Prime cofactor 132279555827924464252288384863559082874697942435651758173076087183621063548275002042433643627512005635922457877774486646095318317 has 129 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:29 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 29 秒 (日本時間)
403e60--
4511e6593 / 4429CypJuly 26, 2015 20:26:44 UTC 2015 年 7 月 27 日 (月) 5 時 26 分 44 秒 (日本時間)

97×10207-13

c192

name 名前Bob Backstrom
date 日付July 15, 2021 19:49:30 UTC 2021 年 7 月 16 日 (金) 4 時 49 分 30 秒 (日本時間)
composite number 合成数
508652115998687023653326421305821978204516571687308766836327198282224971513093284575504221008709076634298491740535749296299775519167860440887809455424675769579935122546313375047006508331647791<192>
prime factors 素因数
18516465563605411290749343931735618882823005329866462351136769380190252270189<77>
27470259604967798158654632002025695345042548163779293424955742303742957948971141301806193596299606444789783167367819<116>
factorization results 素因数分解の結果
Number: n
N=508652115998687023653326421305821978204516571687308766836327198282224971513093284575504221008709076634298491740535749296299775519167860440887809455424675769579935122546313375047006508331647791
  ( 192 digits)
SNFS difficulty: 208 digits.
Divisors found:

Fri Jul 16 05:44:01 2021  p77 factor: 18516465563605411290749343931735618882823005329866462351136769380190252270189
Fri Jul 16 05:44:01 2021  p116 factor: 27470259604967798158654632002025695345042548163779293424955742303742957948971141301806193596299606444789783167367819
Fri Jul 16 05:44:01 2021  elapsed time 02:56:16 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.346).
Factorization parameters were as follows:
#
# N = 97x10^207-1 = 323(207)
#
n: 508652115998687023653326421305821978204516571687308766836327198282224971513093284575504221008709076634298491740535749296299775519167860440887809455424675769579935122546313375047006508331647791
m: 10000000000000000000000000000000000
deg: 6
c6: 97000
c0: -1
skew: 0.15
# Murphy_E = 5.47e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 52100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9184424 hash collisions in 60102987 relations (53502543 unique)
Msieve: matrix is 2614795 x 2615020 (925.1 MB)

Sieving start time : 2021/07/15 08:34:53
Sieving end time  : 2021/07/16 02:46:21

Total sieving time: 18hrs 11min 28secs.

Total relation processing time: 2hrs 22min 4sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 18min 2sec.

Prototype def-par.txt line would be:
snfs,208,6,0,0,0,0,0,0,0,0,21000000,21000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118191] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239972K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2736K init, 4964K bss, 487264K reserved, 0K cma-reserved)
[    0.153502] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.23 BogoMIPS (lpj=12798472)
[    0.152038] smpboot: Total of 16 processors activated (102387.77 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:08 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 8 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:40 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 40 秒 (日本時間)
4511e6498 / 4342CypJune 28, 2015 06:09:08 UTC 2015 年 6 月 28 日 (日) 15 時 9 分 8 秒 (日本時間)

97×10208-13

c210

name 名前Serge Batalov
date 日付December 19, 2014 18:06:45 UTC 2014 年 12 月 20 日 (土) 3 時 6 分 45 秒 (日本時間)
composite number 合成数
323333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<210>
prime factors 素因数
72273774739528814808115942184200981<35>
composite cofactor 合成数の残り
4473729710377118300841564515441222053995275366607219995848717673803676085377176397321263224048910166452245397002475005472506608225703760613854185719901751822093570866739024193<175>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3190760896
Step 1 took 5351ms
********** Factor found in step 1: 72273774739528814808115942184200981
Found probable prime factor of 35 digits: 72273774739528814808115942184200981
Composite cofactor

c175

name 名前Cyp
date 日付July 26, 2015 19:21:05 UTC 2015 年 7 月 27 日 (月) 4 時 21 分 5 秒 (日本時間)
composite number 合成数
4473729710377118300841564515441222053995275366607219995848717673803676085377176397321263224048910166452245397002475005472506608225703760613854185719901751822093570866739024193<175>
prime factors 素因数
2748871945980410513812510156291868125457<40>
composite cofactor 合成数の残り
1627478397791106041734667071541539926456486049125853326492331615609517154853240265496555188325998152974257677487283556912480230129542449<136>
factorization results 素因数分解の結果
Run 386 out of 593:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1020795750
Step 1 took 59348ms
Step 2 took 18826ms
********** Factor found in step 2: 2748871945980410513812510156291868125457
Found probable prime factor of 40 digits: 2748871945980410513812510156291868125457
Composite cofactor 1627478397791106041734667071541539926456486049125853326492331615609517154853240265496555188325998152974257677487283556912480230129542449 has 136 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

c136

name 名前Erik Branger
date 日付October 8, 2015 05:26:27 UTC 2015 年 10 月 8 日 (木) 14 時 26 分 27 秒 (日本時間)
composite number 合成数
1627478397791106041734667071541539926456486049125853326492331615609517154853240265496555188325998152974257677487283556912480230129542449<136>
prime factors 素因数
307548666606167164877518291703945608378126828273738464697<57>
5291775170903864981220976621576348683454487020331846421516390417105862853205817<79>
factorization results 素因数分解の結果
Number: 32333_208
N = 1627478397791106041734667071541539926456486049125853326492331615609517154853240265496555188325998152974257677487283556912480230129542449 (136 digits)
Divisors found:
r1=307548666606167164877518291703945608378126828273738464697 (pp57)
r2=5291775170903864981220976621576348683454487020331846421516390417105862853205817 (pp79)
Version: Msieve v. 1.51 (SVN 845)
Total time: 209.06 hours.
Factorization parameters were as follows:
Murphy_E = 5.41e-10, selected by Maksym Voznyy
# polynomial selection by CADO-NFS 2.1.1
n: 1627478397791106041734667071541539926456486049125853326492331615609517154853240265496555188325998152974257677487283556912480230129542449
Y0: -55223625965850592063880430
Y1: 191853300487555909351
c0: 102325273906884297907592544344359
c1: -1118211101196513076565124002
c2: -1527392222396718146467
c3: 33753441015343934
c4: 300201527376
c5: 1893600
skew: 139328
type: gnfs
# selected mechanically
rlim: 13500000
alim: 13500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 13500000/13500000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 22542750
Relations: 3730806 relations
Pruned matrix : 2230016 x 2230243
Polynomial selection time: 0.00 hours.
Total sieving time: 202.33 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 4.13 hours.
time per square root: 2.46 hours.
Prototype def-par.txt line would be: gnfs,135,5,65,2000,1e-05,0.28,250,20,50000,3600,13500000,13500000,28,28,55,55,2.6,2.6,100000
total time: 209.06 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:32 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 32 秒 (日本時間)
403e60--
4511e6993 / 4429593CypJuly 26, 2015 19:21:05 UTC 2015 年 7 月 27 日 (月) 4 時 21 分 5 秒 (日本時間)
400Ignacio SantosSeptember 25, 2015 16:30:58 UTC 2015 年 9 月 26 日 (土) 1 時 30 分 58 秒 (日本時間)

97×10209-13

c168

name 名前Serge Batalov
date 日付December 21, 2014 01:52:36 UTC 2014 年 12 月 21 日 (日) 10 時 52 分 36 秒 (日本時間)
composite number 合成数
223921883312799457386160287298757688394731559707236783777778646666326989274647455080558172177299962524826512487018157434921352117120807591939664702132618867973801648929<168>
prime factors 素因数
4660412193319868619344370507877<31>
composite cofactor 合成数の残り
48047656306831424492533354651242795903886738374635145541258536197641967506226802481836820257997336141406359720615899524864521553412171277<137>
factorization results 素因数分解の結果
Input number is 223921883312799457386160287298757688394731559707236783777778646666326989274647455080558172177299962524826512487018157434921352117120807591939664702132618867973801648929 (168 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=403469067
Step 1 took 11348ms
Step 2 took 8309ms
********** Factor found in step 2: 4660412193319868619344370507877
Found probable prime factor of 31 digits: 4660412193319868619344370507877
Composite cofactor 48047656306831424492533354651242795903886738374635145541258536197641967506226802481836820257997336141406359720615899524864521553412171277 has 137 digits

c137

name 名前Erik Branger
date 日付April 23, 2015 21:21:16 UTC 2015 年 4 月 24 日 (金) 6 時 21 分 16 秒 (日本時間)
composite number 合成数
48047656306831424492533354651242795903886738374635145541258536197641967506226802481836820257997336141406359720615899524864521553412171277<137>
prime factors 素因数
28519563815802689708713249984130127620694387418584362353967590999<65>
1684726197677967961995552186745034554945153488465141360411913640667121723<73>
factorization results 素因数分解の結果
Number: 32333_209
N = 48047656306831424492533354651242795903886738374635145541258536197641967506226802481836820257997336141406359720615899524864521553412171277 (137 digits)
Divisors found:
r1=28519563815802689708713249984130127620694387418584362353967590999 (pp65)
r2=1684726197677967961995552186745034554945153488465141360411913640667121723 (pp73)
Version: Msieve v. 1.51 (SVN 845)
Total time: 188.84 hours.
Factorization parameters were as follows:
# Murphy_E = 3.454e-11, selected by Erik Branger
# expecting poly E from 3.27e-011 to > 3.76e-011
n: 48047656306831424492533354651242795903886738374635145541258536197641967506226802481836820257997336141406359720615899524864521553412171277
Y0: -515489293075721711590194429
Y1: 17689922376517
c0: -28466756952407214459181358076878720
c1: 352644991624652239196496837752
c2: -50765729527596913431954
c3: -52067139639013627
c4: 2735408734
c5: 1320
skew: 3831465.76
type: gnfs
# selected mechanically
rlim: 14800000
alim: 14800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 14800000/14800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23000986
Relations: 3215118 relations
Pruned matrix : 1988030 x 1988260
Polynomial selection time: 0.00 hours.
Total sieving time: 183.90 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 3.17 hours.
time per square root: 1.58 hours.
Prototype def-par.txt line would be: gnfs,136,5,65,2000,1e-05,0.28,250,20,50000,3600,14800000,14800000,28,28,55,55,2.6,2.6,100000
total time: 188.84 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e62650300Serge BatalovDecember 20, 2014 21:20:08 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 8 秒 (日本時間)
2350Ignacio SantosFebruary 6, 2015 19:26:58 UTC 2015 年 2 月 7 日 (土) 4 時 26 分 58 秒 (日本時間)

97×10210-13

c197

name 名前Serge Batalov
date 日付December 20, 2014 21:58:49 UTC 2014 年 12 月 21 日 (日) 6 時 58 分 49 秒 (日本時間)
composite number 合成数
11598220009988422745567760056130143739780550376124675223066762922047175996330560964529672786354837584687700099583614433503729124681933790645131546728868644953679874162136143913949082494588774283609<197>
prime factors 素因数
454698707107954906354802898571<30>
1261178360249146052579316650987<31>
20225120279495096138894639306118142893110069851906109729917507704920591080920786945142434778692217395794946473924625079530449924793140417<137>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2316320884
Step 1 took 16079ms
Step 2 took 10270ms
********** Factor found in step 2: 1261178360249146052579316650987
Found probable prime factor of 31 digits: 1261178360249146052579316650987

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4115983596
Step 1 took 15999ms
Step 2 took 10234ms
********** Factor found in step 2: 454698707107954906354802898571
Found probable prime factor of 30 digits: 454698707107954906354802898571

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:20:09 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 9 秒 (日本時間)

97×10211-13

c178

name 名前Serge Batalov
date 日付December 21, 2014 01:52:40 UTC 2014 年 12 月 21 日 (日) 10 時 52 分 40 秒 (日本時間)
composite number 合成数
5495983721846165440232707918149464229953829606899130255874750176731925936101343969266117710724700105031690054735757084743960771810025068609283398450080859543013778602980356453797<178>
prime factors 素因数
155749099044947667925051423425615671<36>
35287419031939813967417799260514080077388128530648887851319783583476946603986497353302474552504648115008774048374400427263863022784849258287107<143>
factorization results 素因数分解の結果
Input number is 5495983721846165440232707918149464229953829606899130255874750176731925936101343969266117710724700105031690054735757084743960771810025068609283398450080859543013778602980356453797 (178 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=821435762
Step 1 took 13614ms
Step 2 took 9243ms
********** Factor found in step 2: 155749099044947667925051423425615671
Found probable prime factor of 36 digits: 155749099044947667925051423425615671
Probable prime cofactor 35287419031939813967417799260514080077388128530648887851319783583476946603986497353302474552504648115008774048374400427263863022784849258287107 has 143 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:20:09 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 9 秒 (日本時間)

97×10213-13

c189

composite cofactor 合成数の残り
254045324421039012687227263251281082047194577225312963527748329731206624706793747077535407820291758853974490689794478756843219115733606797056142149414913490254797987853170728924402106872203<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:10 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 10 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:41 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 41 秒 (日本時間)
4511e6498 / 4342CypJune 29, 2015 17:17:51 UTC 2015 年 6 月 30 日 (火) 2 時 17 分 51 秒 (日本時間)

97×10216-13

c187

composite cofactor 合成数の残り
2909830148498976414579849614522695146897442170304431399374019248166518648608455013735608972374052348582569687583932738228725749934918970215952930067934602998755335732608948527302091748953<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:10 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 10 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:41 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 41 秒 (日本時間)
4511e6498 / 4342CypJanuary 29, 2015 13:06:24 UTC 2015 年 1 月 29 日 (木) 22 時 6 分 24 秒 (日本時間)

97×10217-13

c135

name 名前Serge Batalov
date 日付December 20, 2014 01:44:50 UTC 2014 年 12 月 20 日 (土) 10 時 44 分 50 秒 (日本時間)
composite number 合成数
149866083390701443553290112188471964299285921730284824996650057141447430933475959492163316153983021707237981709867064612572300886182601<135>
prime factors 素因数
28933783648058483715296460313295757331<38>
composite cofactor 合成数の残り
5179622728006323688272099270899709259582017495155534992597361520755938645324929943748208844709171<97>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=840988977
Step 1 took 7616ms
Step 2 took 6450ms
********** Factor found in step 2: 28933783648058483715296460313295757331
Found probable prime factor of 38 digits: 28933783648058483715296460313295757331
Composite cofactor 

c97

name 名前Dmitry Domanov
date 日付December 21, 2014 01:20:42 UTC 2014 年 12 月 21 日 (日) 10 時 20 分 42 秒 (日本時間)
composite number 合成数
5179622728006323688272099270899709259582017495155534992597361520755938645324929943748208844709171<97>
prime factors 素因数
4250451815964466647545076515007475927267759591<46>
1218605210051303594569264565113467947114670158855381<52>
factorization results 素因数分解の結果
N=5179622728006323688272099270899709259582017495155534992597361520755938645324929943748208844709171
  ( 97 digits)
Divisors found:
 r1=4250451815964466647545076515007475927267759591 (pp46)
 r2=1218605210051303594569264565113467947114670158855381 (pp52)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 2.64 hours.
Scaled time: 5.52 units (timescale=2.090).
Factorization parameters were as follows:
n: 5179622728006323688272099270899709259582017495155534992597361520755938645324929943748208844709171
skew: 5556570.44
c0: 40122058910959835388915114086
c1: 7517308045071191669933
c2: -6560871555477146
c3: -555850538
c4: 120
Y0: -455805287077603110083055
Y1: 125054958931
rlim: 1620000
alim: 1620000
lpbr: 25
lpba: 25
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
type: gnfs

Factor base limits: 1620000/1620000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 50/50
Sieved algebraic special-q in [810000, 1170001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 173342 x 173569
Total sieving time: 2.51 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,96,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1620000,1620000,25,25,50,50,2.5,2.5,60000
total time: 2.64 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:01:54 UTC 2014 年 12 月 20 日 (土) 3 時 1 分 54 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:14 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 14 秒 (日本時間)

97×10218-13

c181

name 名前Erik Branger
date 日付February 4, 2020 16:26:54 UTC 2020 年 2 月 5 日 (水) 1 時 26 分 54 秒 (日本時間)
composite number 合成数
2195905027799722616573081049317020075720913139228047483478127023098372448666146764553269806300753687903997625812596914668652285492115505535788708638857236454915726558919099632806381<181>
prime factors 素因数
1315936870016626645367238944117488089197658262489965112201571987<64>
1668700891230426364321410937908772319982903540862712917327166971119647420118607599188593568185309973538615813656417663<118>
factorization results 素因数分解の結果
Number: 32333_218
N = 2195905027799722616573081049317020075720913139228047483478127023098372448666146764553269806300753687903997625812596914668652285492115505535788708638857236454915726558919099632806381 (181 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=1315936870016626645367238944117488089197658262489965112201571987 (pp64)
r2=1668700891230426364321410937908772319982903540862712917327166971119647420118607599188593568185309973538615813656417663 (pp118)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 43.68 hours.
Factorization parameters were as follows:
n: 2195905027799722616573081049317020075720913139228047483478127023098372448666146764553269806300753687903997625812596914668652285492115505535788708638857236454915726558919099632806381
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 97
c0: -100
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 34549457
Relations: 8164026 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 21.79 hours.
Total relation processing time: 0.40 hours.
Pruned matrix : 7139448 x 7139674
Matrix solve time: 20.90 hours.
time per square root: 0.59 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 43.68 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:11 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 11 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:41 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 41 秒 (日本時間)
4511e6498 / 4342CypJuly 4, 2015 16:57:51 UTC 2015 年 7 月 5 日 (日) 1 時 57 分 51 秒 (日本時間)

97×10219-13

c204

name 名前Erik Branger
date 日付December 21, 2019 21:29:32 UTC 2019 年 12 月 22 日 (日) 6 時 29 分 32 秒 (日本時間)
composite number 合成数
309532292836469338142771031024795509220258907905459309896564148372315162722548982313753228339097889772735629806563491963061182698485511421079419623507379746158939606745493736555673518872789673264353342833<204>
prime factors 素因数
24224648345403794804507871859312488414108461063456776728762251<62>
12777576310832091016438413125596729852354024415105572581371457908670108463507004198648306629946522668581125641835607295562696201244268685076083<143>
factorization results 素因数分解の結果
Number: 32333_219
N = 309532292836469338142771031024795509220258907905459309896564148372315162722548982313753228339097889772735629806563491963061182698485511421079419623507379746158939606745493736555673518872789673264353342833 (204 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=24224648345403794804507871859312488414108461063456776728762251 (pp62)
r2=12777576310832091016438413125596729852354024415105572581371457908670108463507004198648306629946522668581125641835607295562696201244268685076083 (pp143)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 74.21 hours.
Factorization parameters were as follows:
n: 309532292836469338142771031024795509220258907905459309896564148372315162722548982313753228339097889772735629806563491963061182698485511421079419623507379746158939606745493736555673518872789673264353342833
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 97
c0: -10
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 7252494 relations
Pruned matrix : 6589482 x 6589708
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 37.33 hours.
Total relation processing time: 0.42 hours.
Matrix solve time: 36.26 hours.
time per square root: 0.20 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 74.21 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:11 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 11 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:42 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 42 秒 (日本時間)
4511e6498 / 4342CypJanuary 25, 2015 15:38:31 UTC 2015 年 1 月 26 日 (月) 0 時 38 分 31 秒 (日本時間)

97×10221-13

c210

name 名前Serge Batalov
date 日付December 21, 2014 01:52:43 UTC 2014 年 12 月 21 日 (日) 10 時 52 分 43 秒 (日本時間)
composite number 合成数
225180589081199134320039419731615272027766146977351372629800561741113725495691570697036508743297043276744947590768275144363866658600417822553701687830759754179016566914895418973480304693566485176378476731222253<210>
prime factors 素因数
649353949713679561242207596587301<33>
346776344673791988911229366964800846387874889505175301081685703611288883818831680115336939789358011890264275136173902859695991191171743431476111835268218189221968409530579405353<177>
factorization results 素因数分解の結果
Input number is 225180589081199134320039419731615272027766146977351372629800561741113725495691570697036508743297043276744947590768275144363866658600417822553701687830759754179016566914895418973480304693566485176378476731222253 (210 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2600230263
Step 1 took 16014ms
Step 2 took 10548ms
********** Factor found in step 2: 649353949713679561242207596587301
Found probable prime factor of 33 digits: 649353949713679561242207596587301
Probable prime cofactor 346776344673791988911229366964800846387874889505175301081685703611288883818831680115336939789358011890264275136173902859695991191171743431476111835268218189221968409530579405353 has 177 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:20:12 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 12 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:42 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 42 秒 (日本時間)

97×10224-13

c226

name 名前NFS@Home + Dmitry Domanov
date 日付March 24, 2016 15:23:16 UTC 2016 年 3 月 25 日 (金) 0 時 23 分 16 秒 (日本時間)
composite number 合成数
3233333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<226>
prime factors 素因数
10069991644435937822293535207006309563047632198936619298898704039867221060643<77>
321085999621447133932638325823112010558832424201880979833470001293252484545206698018538204150428238598779688427767796342643888307244858702838935073831<150>
factorization results 素因数分解の結果
prp77 factor: 10069991644435937822293535207006309563047632198936619298898704039867221060643
prp150 factor: 321085999621447133932638325823112010558832424201880979833470001293252484545206698018538204150428238598779688427767796342643888307244858702838935073831
software ソフトウェア
ggnfs-lasieve4I14e on the NFS@Home grid + msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:45 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 45 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:03:00 UTC 2014 年 12 月 20 日 (土) 10 時 3 分 0 秒 (日本時間)
4511e630002000Serge BatalovDecember 20, 2014 04:01:59 UTC 2014 年 12 月 20 日 (土) 13 時 1 分 59 秒 (日本時間)
1000Serge BatalovDecember 21, 2014 10:24:39 UTC 2014 年 12 月 21 日 (日) 19 時 24 分 39 秒 (日本時間)
5043e695702000Serge BatalovDecember 21, 2014 12:18:36 UTC 2014 年 12 月 21 日 (日) 21 時 18 分 36 秒 (日本時間)
7570Lionel DebrouxMarch 11, 2016 12:34:39 UTC 2016 年 3 月 11 日 (金) 21 時 34 分 39 秒 (日本時間)

97×10226-13

c188

composite cofactor 合成数の残り
28936284753881899192667314246076442068996705873055650291333107033875068165574202503539620803639669954987208810435881392036814196274855712639736201911861461927616584171413899056937629613437<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:12 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 12 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:43 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 43 秒 (日本時間)
4511e6498 / 4342242CypJanuary 8, 2015 13:55:40 UTC 2015 年 1 月 8 日 (木) 22 時 55 分 40 秒 (日本時間)
256CypJune 5, 2015 21:18:27 UTC 2015 年 6 月 6 日 (土) 6 時 18 分 27 秒 (日本時間)

97×10228-13

c213

composite cofactor 合成数の残り
221337829920058167905482595702577789416939077264986836158015195998720017584938624919421248570436523563644908863446127385323030606061165925562950083431561960181330669692951278795331174246397940369720191447628104887<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:13 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 13 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:43 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 43 秒 (日本時間)
4511e6498 / 4342242CypJanuary 1, 2015 09:09:17 UTC 2015 年 1 月 1 日 (木) 18 時 9 分 17 秒 (日本時間)
256CypJuly 2, 2015 16:27:34 UTC 2015 年 7 月 3 日 (金) 1 時 27 分 34 秒 (日本時間)

97×10230-13

c217

name 名前Serge Batalov
date 日付December 21, 2014 01:52:47 UTC 2014 年 12 月 21 日 (日) 10 時 52 分 47 秒 (日本時間)
composite number 合成数
1831330437866856735746551614565149152559560825624173565303806195715969348845848528958623212660755837739027385725147804213925194012693373334794145745149604576026896304941249605854587979296316077148132261532627994928733<217>
prime factors 素因数
18426704378382778351840682042713<32>
99384588815310643425652244095630656622696600579630965935772899308018182082089590225285374857579946751157460125311492268590047826159221810310045247651500091196696021293141278807234917541<185>
factorization results 素因数分解の結果
Input number is 1831330437866856735746551614565149152559560825624173565303806195715969348845848528958623212660755837739027385725147804213925194012693373334794145745149604576026896304941249605854587979296316077148132261532627994928733 (217 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=6225491
Step 1 took 18060ms
Step 2 took 11265ms
********** Factor found in step 2: 18426704378382778351840682042713
Found probable prime factor of 32 digits: 18426704378382778351840682042713
Probable prime cofactor 99384588815310643425652244095630656622696600579630965935772899308018182082089590225285374857579946751157460125311492268590047826159221810310045247651500091196696021293141278807234917541 has 185 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:20:13 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 13 秒 (日本時間)

97×10232-13

c185

name 名前Serge Batalov
date 日付December 21, 2014 01:52:51 UTC 2014 年 12 月 21 日 (日) 10 時 52 分 51 秒 (日本時間)
composite number 合成数
58120005207175007949033844993221526039551172754164701171396787041111370883920029366291416035325651215528356381416707873570242668777415687358736238384821952388976361679946272188449641247<185>
prime factors 素因数
5070009569089977075627473068965996839<37>
11463490239054331185393400606758771027919352072223404315561995347474594406510995500105088635264817346507388673913255064400875775512048424571532448073<149>
factorization results 素因数分解の結果
Input number is 58120005207175007949033844993221526039551172754164701171396787041111370883920029366291416035325651215528356381416707873570242668777415687358736238384821952388976361679946272188449641247 (185 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1011489299
Step 1 took 13613ms
Step 2 took 9421ms
********** Factor found in step 2: 5070009569089977075627473068965996839
Found probable prime factor of 37 digits: 5070009569089977075627473068965996839
Probable prime cofactor 11463490239054331185393400606758771027919352072223404315561995347474594406510995500105088635264817346507388673913255064400875775512048424571532448073 has 149 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:20:14 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 14 秒 (日本時間)

97×10233-13

c202

composite cofactor 合成数の残り
2876830953549681869182072150052608406437283693822474103994826377248333986460583354918677328596472810276542316093187954306779856579807178532188224642149719641651749090023508731000780171559901939614258253<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:14 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 14 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:43 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 43 秒 (日本時間)
4511e6498 / 4342CypJuly 26, 2015 20:04:12 UTC 2015 年 7 月 27 日 (月) 5 時 4 分 12 秒 (日本時間)

97×10234-13

c204

name 名前Serge Batalov
date 日付December 21, 2014 01:52:54 UTC 2014 年 12 月 21 日 (日) 10 時 52 分 54 秒 (日本時間)
composite number 合成数
335902653849007793429631084891111973597871118630241913400634469137336171869167300664607414810977078818385739943700949949487984181178520322794034393628890177871430949398205561577956658717228878958650662517<204>
prime factors 素因数
147307631249713320529902206039<30>
composite cofactor 合成数の残り
2280280057450597983926074362772257059520383823685203854285490914914723369671643631407728039593993396365719313110991564697893775889250858606360615205213020601423202260179139603<175>
factorization results 素因数分解の結果
Input number is 335902653849007793429631084891111973597871118630241913400634469137336171869167300664607414810977078818385739943700949949487984181178520322794034393628890177871430949398205561577956658717228878958650662517 (204 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=190406255
Step 1 took 16087ms
Step 2 took 10522ms
********** Factor found in step 2: 147307631249713320529902206039
Found probable prime factor of 30 digits: 147307631249713320529902206039
Composite cofactor 2280280057450597983926074362772257059520383823685203854285490914914723369671643631407728039593993396365719313110991564697893775889250858606360615205213020601423202260179139603 has 175 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 20, 2014 21:20:14 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 14 秒 (日本時間)
4511e6585 / 4409CypFebruary 10, 2015 03:33:26 UTC 2015 年 2 月 10 日 (火) 12 時 33 分 26 秒 (日本時間)

97×10235-13

c205

composite cofactor 合成数の残り
1268844749673327191421030237138142424965223954172681124798282357183385243785750435749139028530131363659531300356540586916576375850366821025134046624037136875338156043987495799991658522591539630359515678261<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:15 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 15 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:44 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 44 秒 (日本時間)
4511e6498 / 4342CypJanuary 30, 2015 23:02:43 UTC 2015 年 1 月 31 日 (土) 8 時 2 分 43 秒 (日本時間)

97×10236-13

c205

composite cofactor 合成数の残り
3181598966631350348933218414349931830000383510040773722738306477435354268545216813530444479551370891138500922420189800225212634159182658097438318471510122517205303328523646640104900566927901420051841647011<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:15 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 15 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:44 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 44 秒 (日本時間)
4511e6498 / 4342CypJuly 26, 2015 20:03:37 UTC 2015 年 7 月 27 日 (月) 5 時 3 分 37 秒 (日本時間)

97×10237-13

c222

composite cofactor 合成数の残り
137542517358336247413647813640204770960669976773003829815589576228182072962602154822149150418732362976460901503155825589605779351292768798345640233526268891654361596729307465894759170646024473732079288980639106732696465763<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:16 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 16 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:44 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 44 秒 (日本時間)
4511e6498 / 4342CypMay 23, 2015 08:49:33 UTC 2015 年 5 月 23 日 (土) 17 時 49 分 33 秒 (日本時間)

97×10238-13

c240

name 名前Serge Batalov
date 日付December 20, 2014 01:49:48 UTC 2014 年 12 月 20 日 (土) 10 時 49 分 48 秒 (日本時間)
composite number 合成数
323333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<240>
prime factors 素因数
134216924784028191809618928998295799157<39>
2409035476364974694202336553202389534797627134092875903346254064014176271072339095292363589011093473103123453125819903879167675321345810716677192154082083189129274494858322944006939149027713898741609569<202>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2573850109
Step 1 took 24543ms
Step 2 took 1264ms
********** Factor found in step 2: 134216924784028191809618928998295799157
Found probable prime factor of 39 digits: 134216924784028191809618928998295799157
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:53 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 53 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:03:06 UTC 2014 年 12 月 20 日 (土) 10 時 3 分 6 秒 (日本時間)

97×10239-13

c217

composite cofactor 合成数の残り
2214864542667637470515593436336787029480686967846003081997850458635983457047289901025281080598592268170879406531961175285935397199238666151338401929378940952273055207210576744875529983135961077752505467976686122012499<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:16 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 16 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:45 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 45 秒 (日本時間)
4511e6498 / 4342CypMay 17, 2015 06:23:33 UTC 2015 年 5 月 17 日 (日) 15 時 23 分 33 秒 (日本時間)

97×10240-13

c209

name 名前Serge Batalov
date 日付December 21, 2014 01:52:57 UTC 2014 年 12 月 21 日 (日) 10 時 52 分 57 秒 (日本時間)
composite number 合成数
19000863733915298017070891498341776896647003287052265510667304481189993873900085172975637522155550695130812860379076692275562675510305637755352259678673320096545945208462298010252751579889801494929132837314983<209>
prime factors 素因数
1496797498433074353261146647313429<34>
12694344928960926681671418450859887366526032033129137061172540750669546891036733701757082389570298776343524652157296147011630048950387327044883600927667530242592247661310855627<176>
factorization results 素因数分解の結果
Input number is 19000863733915298017070891498341776896647003287052265510667304481189993873900085172975637522155550695130812860379076692275562675510305637755352259678673320096545945208462298010252751579889801494929132837314983 (209 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1838682791
Step 1 took 15992ms
Step 2 took 10525ms
********** Factor found in step 2: 1496797498433074353261146647313429
Found probable prime factor of 34 digits: 1496797498433074353261146647313429
Probable prime cofactor 12694344928960926681671418450859887366526032033129137061172540750669546891036733701757082389570298776343524652157296147011630048950387327044883600927667530242592247661310855627 has 176 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:20:17 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 17 秒 (日本時間)

97×10243-13

c239

composite cofactor 合成数の残り
12819541951158073806992941190153058722885512371320543659593319194832323695284509909572008358341352155064122159397655979794287321354066100994466054844115030675049325500461040949449638561605101807647927271698825875333522851097848391867758363<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:54 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 54 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:03:07 UTC 2014 年 12 月 20 日 (土) 10 時 3 分 7 秒 (日本時間)
4511e640001000Serge BatalovDecember 21, 2014 10:25:00 UTC 2014 年 12 月 21 日 (日) 19 時 25 分 0 秒 (日本時間)
3000Serge BatalovMarch 18, 2015 22:55:14 UTC 2015 年 3 月 19 日 (木) 7 時 55 分 14 秒 (日本時間)

97×10244-13

c154

name 名前Serge Batalov
date 日付June 24, 2015 21:00:14 UTC 2015 年 6 月 25 日 (木) 6 時 0 分 14 秒 (日本時間)
composite number 合成数
1426552774400161018607441456086035585926983771133129551041252678999728381497363568112430007484466453211933412861991413626306883534870882898836357790216793<154>
prime factors 素因数
10511089349808688374884343524390071717402813<44>
24046639081502793698298536500672027975721265973<47>
5643983427219324633711120549566174666849656671361084321686560057<64>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=3920402977
Step 1 took 29538ms
Step 2 took 16089ms
********** Factor found in step 2: 10511089349808688374884343524390071717402813
Found probable prime factor of 44 digits: 10511089349808688374884343524390071717402813
Composite cofactor 135718832456326290195931094623359259770489754274078364847900747161332599195832598976749041757437896315535040461 has 111 digits

Divisors found:
 r1=24046639081502793698298536500672027975721265973 (pp47)
 r2=5643983427219324633711120549566174666849656671361084321686560057 (pp64)
Version: Msieve v. 1.51 (SVN 719M)
Total time: 7.23 hours.
Scaled time: 17.34 units (timescale=2.400).
Factorization parameters were as follows:
name: test
type: gnfs
n:  135718832456326290195931094623359259770489754274078364847900747161332599195832598976749041757437896315535040461
skew:  66395.02
Y0:  -2042709198348941074672
Y1:  132355057529
c0:  1205163498541330769515153365
c1:  -29105585847614614518324
c2:  721851880306332134
c3:  2938651177753
c4:  -132058794
c5:  3816
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved algebraic special-q in [1600000, 2400001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 297566 x 297811
Total sieving time: 7.04 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
gnfs,110,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,51,51,2.6,2.6,100000
total time: 7.23 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:01:59 UTC 2014 年 12 月 20 日 (土) 3 時 1 分 59 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:19 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 19 秒 (日本時間)
4511e6400 / 3916Serge BatalovJune 23, 2015 21:29:38 UTC 2015 年 6 月 24 日 (水) 6 時 29 分 38 秒 (日本時間)

97×10245-13

c239

name 名前Cyp
date 日付July 26, 2015 13:38:47 UTC 2015 年 7 月 26 日 (日) 22 時 38 分 47 秒 (日本時間)
composite number 合成数
31489730690765777042493648269726463415518186681323610512143428672193854573885492970321795603138248381003380403111469773733072285413725278284895001761980286707894775123571140890246046504079733218741878713237796801708818479301106918248059029<239>
prime factors 素因数
2704192051594736539434839672578006319<37>
11644783391843569495634283676524234525728703251787054368472827818611881404003019822091424372958846857215881947438850469540818605631420965424249298837447460589921074322757240153151180179373118518738036091<203>
factorization results 素因数分解の結果
Run 190 out of 498:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1446441835
Step 1 took 91822ms
Step 2 took 26174ms
********** Factor found in step 2: 2704192051594736539434839672578006319
Found probable prime factor of 37 digits: 2704192051594736539434839672578006319
Probable prime cofactor 11644783391843569495634283676524234525728703251787054368472827818611881404003019822091424372958846857215881947438850469540818605631420965424249298837447460589921074322757240153151180179373118518738036091 has 203 digits
software ソフトウェア
GMP-ECM 6.4.4
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
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 1663300Serge BatalovDecember 20, 2014 21:20:17 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 17 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:45 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 45 秒 (日本時間)
4511e6190 / 4342CypJuly 26, 2015 13:38:47 UTC 2015 年 7 月 26 日 (日) 22 時 38 分 47 秒 (日本時間)

97×10246-13

c232

composite cofactor 合成数の残り
4801082202845625471397329298310180140179881164066412606770123076050989127002070901415298300136226666042635769031140047594142246390739308883919670147389748408204361149271098833009095390350657298629611037859036014818478013145952112819<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:18 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 18 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:45 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 45 秒 (日本時間)
4511e6498 / 4342CypJuly 27, 2015 00:07:42 UTC 2015 年 7 月 27 日 (月) 9 時 7 分 42 秒 (日本時間)

97×10247-13

c223

composite cofactor 合成数の残り
1211114231269933983126731672061174417477525679539980866281346489041541712842879818821983004210354588605249800582528262781676809784984321072888075789971196837601902398256441823502990158732189083676454065830871987218423048581<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:18 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 18 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:46 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 46 秒 (日本時間)
4511e6498 / 4342CypFebruary 6, 2015 12:13:22 UTC 2015 年 2 月 6 日 (金) 21 時 13 分 22 秒 (日本時間)

97×10248-13

c225

composite cofactor 合成数の残り
458237802148260242811624734152420845597746686693373573208180830765519493848025335254962702060552032276522261903509801329689275142179470181665315106232499872067204703161598566104583758905015906374273158978988918901928902576043<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:18 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 18 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:46 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 46 秒 (日本時間)
4511e6498 / 4342242CypJanuary 6, 2015 14:20:59 UTC 2015 年 1 月 6 日 (火) 23 時 20 分 59 秒 (日本時間)
256CypJuly 26, 2015 07:09:38 UTC 2015 年 7 月 26 日 (日) 16 時 9 分 38 秒 (日本時間)

97×10249-13

c208

composite cofactor 合成数の残り
9670332325616714545837888286281294788471130803061197905160436365774418685300337386997844658119328343351112377525139407276888036374942105665704246605080293253571608114781789457901346653457126161434449458405333<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:19 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 19 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:46 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 46 秒 (日本時間)
4511e6498 / 4342CypJuly 26, 2015 07:09:33 UTC 2015 年 7 月 26 日 (日) 16 時 9 分 33 秒 (日本時間)

97×10250-13

c185

name 名前Serge Batalov
date 日付December 21, 2014 01:53:01 UTC 2014 年 12 月 21 日 (日) 10 時 53 分 1 秒 (日本時間)
composite number 合成数
35530860907702540678855551776336473058312619263284758625703021685148256935029373295764271604801530020707294734340701403010866466892556252558835827856793177015840573285926202134849083497<185>
prime factors 素因数
10297609759540722879494951322624032818519<41>
3450398853460458762700946698926789160177419151010113448783793717619778354405815519756517738370435559610870833449945780510864435944478510706227263<145>
factorization results 素因数分解の結果
Input number is 35530860907702540678855551776336473058312619263284758625703021685148256935029373295764271604801530020707294734340701403010866466892556252558835827856793177015840573285926202134849083497 (185 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2028649618
Step 1 took 13609ms
Step 2 took 9438ms
********** Factor found in step 2: 10297609759540722879494951322624032818519
Found probable prime factor of 41 digits: 10297609759540722879494951322624032818519
Probable prime cofactor 3450398853460458762700946698926789160177419151010113448783793717619778354405815519756517738370435559610870833449945780510864435944478510706227263 has 145 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:20:19 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 19 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:47 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 47 秒 (日本時間)

97×10251-13

c229

composite cofactor 合成数の残り
1522561289482397487825258489832928080445581380602740454342808781677604446917683166445509209641775511248689207282976751758046062490973068582533088971821075772803579159612840554855470004005224318710962279052684295854524405741443191<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 23, 2016 13:30:32 UTC 2016 年 9 月 23 日 (金) 22 時 30 分 32 秒 (日本時間)
4511e63072Youcef LemsaferDecember 6, 2021 07:33:26 UTC 2021 年 12 月 6 日 (月) 16 時 33 分 26 秒 (日本時間)
5043e60--
5511e73200 / 17559Youcef LemsaferDecember 9, 2021 07:31:12 UTC 2021 年 12 月 9 日 (木) 16 時 31 分 12 秒 (日本時間)

97×10252-13

c191

composite cofactor 合成数の残り
12281302618134349986219209285054467687775850969959067303597011206183547975200463765797902200099292009763892933447595148459911182763835161682096134676480386241394895460221486055725443551194103<191>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 23, 2016 13:30:42 UTC 2016 年 9 月 23 日 (金) 22 時 30 分 42 秒 (日本時間)
4511e63072Youcef LemsaferDecember 2, 2021 19:45:33 UTC 2021 年 12 月 3 日 (金) 4 時 45 分 33 秒 (日本時間)
5043e60--
5511e73200 / 17559Youcef LemsaferDecember 5, 2021 09:03:22 UTC 2021 年 12 月 5 日 (日) 18 時 3 分 22 秒 (日本時間)

97×10254-13

c254

name 名前Youcef Lemsafer
date 日付November 30, 2021 08:55:41 UTC 2021 年 11 月 30 日 (火) 17 時 55 分 41 秒 (日本時間)
composite number 合成数
40928270042194092827004219409282700421940928270042194092827004219409282700421940928270042194092827004219409282700421940928270042194092827004219409282700421940928270042194092827004219409282700421940928270042194092827004219409282700421940928270042194092827<254>
prime factors 素因数
11395066418074321168795413026399296734386982860759<50>
composite cofactor 合成数の残り
3591753530920678614912584260565017967156939688674919412883630598674173418053220317098767816850972125735848214663697497112233171053502334513039638524630245625760239673275035612929831581721868251251494991453<205>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
Input number is (97*10^254-1)/(3*79) (254 digits)
[Tue Nov 30 00:08:24 2021]
Using MODMULN [mulredc:0, sqrredc:2]
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=0:4874094950935597034
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35        40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+07 3.6e+08
Step 1 took 774032ms
Using 30 small primes for NTT
Estimated memory usage: 690.82MB
Initializing tables of differences for F took 692ms
Computing roots of F took 28639ms
Building F from its roots took 10619ms
Computing 1/F took 4564ms
Initializing table of differences for G took 583ms
Computing roots of G took 24075ms
Building G from its roots took 11764ms
Computing roots of G took 24075ms
Building G from its roots took 11761ms
Computing G * H took 2363ms
Reducing  G * H mod F took 2469ms
Computing roots of G took 24081ms
Building G from its roots took 11762ms
Computing G * H took 2378ms
Reducing  G * H mod F took 2474ms
Computing roots of G took 24080ms
Building G from its roots took 11767ms
Computing G * H took 2372ms
Reducing  G * H mod F took 2453ms
Computing polyeval(F,G) took 20308ms
Computing product of all F(g_i) took 120ms
Step 2 took 223841ms
********** Factor found in step 2: 11395066418074321168795413026399296734386982860759
Found prime factor of 50 digits: 11395066418074321168795413026399296734386982860759
Composite cofactor ((97*10^254-1)/(3*79))/11395066418074321168795413026399296734386982860759 has 205 digits
execution environment 実行環境
Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz, 64GB RAM, Linux Debian 64-bit.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 23, 2016 13:30:52 UTC 2016 年 9 月 23 日 (金) 22 時 30 分 52 秒 (日本時間)
4511e63072Youcef LemsaferNovember 28, 2021 07:52:11 UTC 2021 年 11 月 28 日 (日) 16 時 52 分 11 秒 (日本時間)
5043e60--
5511e73200 / 17559Youcef LemsaferDecember 2, 2021 06:54:30 UTC 2021 年 12 月 2 日 (木) 15 時 54 分 30 秒 (日本時間)

97×10256-13

c247

composite cofactor 合成数の残り
4692327715118643298439835907425386689647800048340928037929330197355268731425747842109743986385225414739354438891266624291424767143101809538532042710489635861051273452002088497577728621049705716674755942869896854590737398117528939971708742102034297<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 23, 2016 13:31:01 UTC 2016 年 9 月 23 日 (金) 22 時 31 分 1 秒 (日本時間)
4511e63072Youcef LemsaferNovember 24, 2021 13:41:37 UTC 2021 年 11 月 24 日 (水) 22 時 41 分 37 秒 (日本時間)
5043e60--
5511e73200 / 17559Youcef LemsaferNovember 27, 2021 15:33:41 UTC 2021 年 11 月 28 日 (日) 0 時 33 分 41 秒 (日本時間)

97×10257-13

c203

name 名前Youcef Lemsafer
date 日付November 24, 2021 09:19:44 UTC 2021 年 11 月 24 日 (水) 18 時 19 分 44 秒 (日本時間)
composite number 合成数
13598214468606502258614524192866090431009261969705971124712882516774621454334172294290251406720951910016423589842864407180266402807835564663135302208794712942484689826223001782015916308904427486656015003<203>
prime factors 素因数
980974861771198083477826808372104522652676893773<48>
235450138830880166685197774430824273002903341883832964517171158656463061<72>
58874205205597501275758686383996636179016831499322208172163178452881914393823209451<83>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
Input number is (97*10^257-1)/(3*17*114149999*3950681113*4758368223821*6517990705344597918684829) (203 digits)
[Wed Nov 17 17:53:43 2021]
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=0:6171406109371416363
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35   40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+07 3.6e+08
Step 1 took 707133ms
Using 25 small primes for NTT
Estimated memory usage: 565.67MB
Initializing tables of differences for F took 456ms
Computing roots of F took 21073ms
Building F from its roots took 7834ms
Computing 1/F took 3506ms
Initializing table of differences for G took 386ms
Computing roots of G took 17724ms
Building G from its roots took 8852ms
Computing roots of G took 17724ms
Building G from its roots took 8821ms
Computing G * H took 1808ms
Reducing  G * H mod F took 1903ms
Computing roots of G took 17724ms
Building G from its roots took 8800ms
Computing G * H took 1798ms
Reducing  G * H mod F took 1884ms
Computing roots of G took 17574ms
Building G from its roots took 9140ms
Computing G * H took 1812ms
Reducing  G * H mod F took 1891ms
Computing polyeval(F,G) took 15526ms
Computing product of all F(g_i) took 86ms
Step 2 took 166734ms
********** Factor found in step 2: 980974861771198083477826808372104522652676893773
Found prime factor of 48 digits: 980974861771198083477826808372104522652676893773
Composite cofactor ((97*10^257-1)/(3*17*114149999*3950681113*4758368223821*6517990705344597918684829))/980974861771198083477826808372104522652676893773 has 155 digits

<GNFS using cado-nfs>

2021-11-18 16:28:37,748 Info:root: Command line parameters: ./bin/cado-nfs.py --slaves 6 --client-threads 2 --server-threads 6 --parameters params/params.c155 workdir=${MATH}/faktorisierung/cado-nfs/32333_257 name=32333_257_C155 13861939789215659482517949131257374968999673527775972387128933771951864460631897405903263494053557757224730702224408501852749515048665837559357827047589511
N = 13861939789215659482517949131257374968999673527775972387128933771951864460631897405903263494053557757224730702224408501852749515048665837559357827047589511
name = 32333_257_C155
slaves.basepath = ${MATH}/faktorisierung/cado-nfs/32333_257/client
slaves.hostnames = localhost
slaves.nrclients = 6
slaves.scriptpath = ${MATH}/tools/cado-nfs_install/bin
tasks.I = 14
tasks.execpath = ./lib/cado-nfs-3.0.0
tasks.lim0 = 22000000
tasks.lim1 = 36000000
tasks.lpb0 = 31
tasks.lpb1 = 32
tasks.qmin = 150000
tasks.threads = 6
tasks.workdir = ${MATH}/faktorisierung/cado-nfs/32333_257
tasks.filter.target_density = 135.0
tasks.filter.purge.keep = 180
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.bwc.cpubinding = ${MATH}/tools/cado-nfs_install/share/cado-nfs-3.0.0/misc/cpubinding.conf
tasks.linalg.bwc.interleaving = 0
tasks.linalg.bwc.interval = 3000
tasks.linalg.characters.nchar = 50
tasks.polyselect.P = 500000
tasks.polyselect.admax = 45e4
tasks.polyselect.admin = 1680
tasks.polyselect.adrange = 1680
tasks.polyselect.degree = 5
tasks.polyselect.incr = 120
tasks.polyselect.nq = 15625
tasks.polyselect.nrkeep = 70
tasks.polyselect.ropteffort = 20
tasks.polyselect.threads = 2
tasks.sieve.lambda0 = 1.82
tasks.sieve.lambda1 = 1.795
tasks.sieve.mfb0 = 58
tasks.sieve.mfb1 = 60
tasks.sieve.ncurves0 = 21
tasks.sieve.ncurves1 = 24
tasks.sieve.qrange = 10000
tasks.sieve.rels_wanted = 180000000
tasks.sieve.las.threads = 2
2021-11-18 16:28:39,441 Info:Lattice Sieving: param rels_wanted is 180000000
2021-11-18 16:28:41,620 Info:Complete Factorization / Discrete logarithm: Factoring 13861939789215659482517949131257374968999673527775972387128933771951864460631897405903263494053557757224730702224408501852749515048665837559357827047589511
2021-11-18 16:28:42,478 Info:Polynomial Selection (size optimized): Starting
2021-11-18 16:28:42,478 Info:Polynomial Selection (size optimized): 0 polynomials in queue from previous run
2021-11-18 16:34:16,633 Info:Polynomial Selection (size optimized): Marking workunit 32333_257_C155_polyselect1_8400-10080 as ok (0.4% => ETA Unknown)
2021-11-18 16:34:31,973 Info:Polynomial Selection (size optimized): Marking workunit 32333_257_C155_polyselect1_6720-8400 as ok (0.7% => ETA Fri Nov 19 18:17:09 2021)
2021-11-18 21:10:10,373 Info:Polynomial Selection (size optimized): Marking workunit 32333_257_C155_polyselect1_448560-450000 as ok (100.0% => ETA Thu Nov 18 21:10:10 2021)
2021-11-18 21:10:10,390 Info:Polynomial Selection (size optimized): Finished
2021-11-18 21:10:10,390 Info:Polynomial Selection (size optimized): Aggregate statistics:
2021-11-18 21:10:10,391 Info:Polynomial Selection (size optimized): potential collisions: 159501
2021-11-18 21:10:10,391 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 160930/46.460/56.054/62.840/1.065
2021-11-18 21:10:10,391 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 132745/45.250/50.076/56.650/1.213
2021-11-18 21:10:10,391 Info:Polynomial Selection (size optimized): Total time: 186327
2021-11-18 21:10:10,391 Info:Polynomial Selection (root optimized): Starting
2021-11-18 21:10:10,391 Info:Polynomial Selection (root optimized): No polynomial was previously found
2021-11-18 21:19:43,358 Info:Polynomial Selection (root optimized): Marking workunit 32333_257_C155_polyselect2_30-31 as ok (5.7% => ETA Unknown)
2021-11-18 21:33:54,133 Info:Polynomial Selection (root optimized): Marking workunit 32333_257_C155_polyselect2_48-49 as ok (100.0% => ETA Thu Nov 18 21:33:54 2021)
2021-11-18 21:33:54,150 Info:Polynomial Selection (root optimized): Kept 26 polynomials with MurphyE from 2.360e-06 to 1.894e-06
2021-11-18 21:33:54,360 Info:Polynomial Selection (root optimized): Best polynomial is ${MATH}/faktorisierung/cado-nfs/32333_257/32333_257_C155.poly.0
2021-11-18 21:33:54,360 Info:Polynomial Selection (root optimized): Finished, best polynomial has Murphy_E = 2.360e-06
2021-11-18 21:33:54,361 Info:Polynomial Selection (root optimized): Best polynomial is:
n: 13861939789215659482517949131257374968999673527775972387128933771951864460631897405903263494053557757224730702224408501852749515048665837559357827047589511
skew: 1127832.786
c0: 162457710174969251235586371744974010
c1: -1292217507094050434043816512033
c2: -1963224297149560988898640
c3: -1010593744101658181
c4: 1371518536140
c5: -191520
Y0: -999243881989014889767395308443
Y1: 18134887050657741982897
# MurphyE (Bf=4.295e+09,Bg=2.147e+09,area=2.013e+13) = 2.360e-06
# f(x) = -191520*x^5+1371518536140*x^4-1010593744101658181*x^3-1963224297149560988898640*x^2-1292217507094050434043816512033*x+162457710174969251235586371744974010
# g(x) = 18134887050657741982897*x-999243881989014889767395308443

2021-11-18 21:33:54,362 Info:Polynomial Selection (root optimized): Best overall polynomial was 0-th in list after size optimization
2021-11-18 21:33:54,367 Info:Polynomial Selection (root optimized): Aggregate statistics:
2021-11-18 21:33:54,367 Info:Polynomial Selection (root optimized): Total time: 13816.4
2021-11-18 21:33:54,367 Info:Polynomial Selection (root optimized): Rootsieve time: 13815.2
2021-11-18 21:33:54,367 Info:Generate Factor Base: Starting
2021-11-18 21:34:00,051 Info:Generate Factor Base: Finished
2021-11-18 21:34:00,051 Info:Generate Factor Base: Total cpu/real time for makefb: 29.55/5.64257
2021-11-18 21:34:00,051 Info:Generate Free Relations: Starting
2021-11-18 21:43:21,616 Info:Generate Free Relations: Found 873581 free relations
2021-11-18 21:43:21,616 Info:Generate Free Relations: Finished
2021-11-18 21:43:21,616 Info:Generate Free Relations: Total cpu/real time for freerel: 3419.78/561.483
2021-11-18 21:43:21,617 Info:Lattice Sieving: Starting
2021-11-18 21:43:21,617 Info:Lattice Sieving: We want 180000000 relation(s)
2021-11-18 22:03:47,494 Info:Lattice Sieving: Marking workunit 32333_257_C155_sieving_150000-160000 as ok (0.1% => ETA Unknown)
2021-11-18 22:04:17,658 Info:Lattice Sieving: Marking workunit 32333_257_C155_sieving_160000-170000 as ok (0.3% => ETA Mon Nov 29 18:39:53 2021)
2021-11-18 22:04:22,900 Info:Lattice Sieving: Marking workunit 32333_257_C155_sieving_190000-200000 as ok (0.4% => ETA Wed Nov 24 12:10:16 2021)
2021-11-23 08:32:19,471 Info:Lattice Sieving: Marking workunit 32333_257_C155_sieving_20490000-20500000 as ok (100.0% => ETA Tue Nov 23 08:34:59 2021)
2021-11-23 08:37:10,687 Info:Lattice Sieving: Marking workunit 32333_257_C155_sieving_20500000-20510000 as ok (100.0% => ETA Tue Nov 23 08:37:42 2021)
2021-11-23 08:38:49,802 Info:Lattice Sieving: Marking workunit 32333_257_C155_sieving_20510000-20520000 as ok (100.0% => ETA Tue Nov 23 08:37:10 2021)
2021-11-23 08:41:46,567 Info:Lattice Sieving: Reached target of 180000000 relations, now have 180046169
2021-11-23 08:41:46,568 Info:Lattice Sieving: Aggregate statistics:
2021-11-23 08:41:46,568 Info:Lattice Sieving: Total number of relations: 180046169
2021-11-23 08:41:46,568 Info:Lattice Sieving: Average J: 7929.66 for 1286681 special-q, max bucket fill -bkmult 1.0,1s:1.078840
2021-11-23 08:41:46,568 Info:Lattice Sieving: Total time: 2.30227e+06s
2021-11-23 08:41:46,568 Info:Filtering - Duplicate Removal, splitting pass: Starting
2021-11-23 08:41:46,573 Info:Filtering - Duplicate Removal, splitting pass: Splitting 2037 new files
2021-11-23 08:55:46,429 Info:Filtering - Duplicate Removal, splitting pass: Relations per slice: 0: 90016993, 1: 90029176
2021-11-23 08:55:46,429 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 1127.59/839.467
2021-11-23 08:55:46,429 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
2021-11-23 08:55:46,430 Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 839.4s
2021-11-23 08:55:46,430 Info:Filtering - Duplicate Removal, removal pass: Starting
2021-11-23 09:07:06,945 Info:Filtering - Duplicate Removal, removal pass: 51065317 unique relations remain on slice 0
2021-11-23 09:18:34,354 Info:Filtering - Duplicate Removal, removal pass: 51072687 unique relations remain on slice 1
2021-11-23 09:18:34,361 Info:Filtering - Duplicate Removal, removal pass: Of 180046169 newly added relations 102138004 were unique (ratio 0.567288)
2021-11-23 09:18:34,370 Info:Filtering - Duplicate Removal, removal pass: 102138004 unique relations remain in total
2021-11-23 09:18:34,370 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 2710.09/1366.62
2021-11-23 09:18:34,370 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
2021-11-23 09:18:34,370 Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 1194.7s
2021-11-23 09:18:34,370 Info:Filtering - Singleton removal: Starting
2021-11-23 09:18:34,378 Info:Filtering - Singleton removal: Reading 102138004 unique and 873581 free relations, total 103011585
2021-11-23 09:23:51,845 Info:Filtering - Singleton removal: After purge, 17501727 relations with 17501547 primes remain with weight 390305705 and excess 180
2021-11-23 09:23:51,850 Info:Filtering - Singleton removal: Have enough relations
2021-11-23 09:23:51,850 Info:Lattice Sieving: Cancelling remaining workunits
2021-11-23 09:23:51,905 Info:Filtering - Singleton removal: Total cpu/real time for purge: 724.55/317.437
2021-11-23 09:23:51,906 Info:Filtering - Merging: Starting
2021-11-23 09:25:20,128 Info:Filtering - Merging: Merged matrix has 3859563 rows and total weight 524006685 (135.8 entries per row on average)
2021-11-23 09:26:53,273 Info:Filtering - Merging: Total cpu/real time for merge: 381.17/88.2017
2021-11-23 09:26:53,273 Info:Filtering - Merging: Total cpu/real time for replay: 124.05/92.9329
2021-11-23 09:26:53,273 Info:Linear Algebra: Starting
2021-11-23 09:54:35,727 Info:Linear Algebra: krylov: N=3000 ; ETA (N=123000): Tue Nov 23 16:52:27 2021 [0.209 s/iter]
2021-11-23 10:05:01,233 Info:Linear Algebra: krylov: N=6000 ; ETA (N=123000): Tue Nov 23 16:52:01 2021 [0.209 s/iter]
2021-11-23 16:38:55,300 Info:Linear Algebra: krylov: N=120000 ; ETA (N=123000): Tue Nov 23 16:49:17 2021 [0.207 s/iter]
2021-11-23 16:49:15,376 Info:Linear Algebra: krylov: N=123000 ; ETA (N=123000): Tue Nov 23 16:49:15 2021 [0.207 s/iter]
2021-11-23 16:49:16,111 Info:Linear Algebra: lingen ETA: not available yet
2021-11-23 16:49:21,144 Info:Linear Algebra: lingen ETA: not available yet
2021-11-23 16:49:45,451 Info:Linear Algebra: lingen ETA: not available yet
2021-11-23 16:50:12,475 Info:Linear Algebra: lingen ETA: not available yet
2021-11-23 16:51:09,479 Info:Linear Algebra: lingen ETA: Tue Nov 23 16:51:14 2021
2021-11-23 17:02:51,688 Info:Linear Algebra: mksol: N=3000 ; ETA (N=63000): Tue Nov 23 20:56:04 2021 [0.233 s/iter]
2021-11-23 17:14:28,935 Info:Linear Algebra: mksol: N=6000 ; ETA (N=63000): Tue Nov 23 20:55:38 2021 [0.233 s/iter]
2021-11-23 20:32:50,806 Info:Linear Algebra: mksol: N=57000 ; ETA (N=63000): Tue Nov 23 20:56:09 2021 [0.233 s/iter]
2021-11-23 20:35:58,883 Info:Linear Algebra: mksol: N=57806 ; ETA (N=63000): Tue Nov 23 20:56:09 2021 [0.233 s/iter]
2021-11-23 20:36:01,457 Info:Linear Algebra: Total cpu/real time for bwc: 227839/40147
2021-11-23 20:36:01,458 Info:Linear Algebra: Aggregate statistics:
2021-11-23 20:36:01,458 Info:Linear Algebra: Krylov: CPU time 145998.72, WCT time 25508.39, iteration CPU time 0.19, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (123000 iterations)
2021-11-23 20:36:01,458 Info:Linear Algebra: Lingen CPU time 1341.7, WCT time 114.71
2021-11-23 20:36:01,458 Info:Linear Algebra: Mksol: CPU time 74926.65,  WCT time 13488.78, iteration CPU time 0.21, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (60000 iterations)
2021-11-23 20:36:01,458 Info:Quadratic Characters: Starting
2021-11-23 20:36:45,281 Info:Quadratic Characters: Total cpu/real time for characters: 143.12/43.7913
2021-11-23 20:36:45,281 Info:Square Root: Starting
2021-11-23 20:36:45,290 Info:Square Root: Creating file of (a,b) values
2021-11-23 20:56:43,010 Info:Square Root: finished
2021-11-23 20:56:43,010 Info:Square Root: Factors: 58874205205597501275758686383996636179016831499322208172163178452881914393823209451 235450138830880166685197774430824273002903341883832964517171158656463061
2021-11-23 20:56:43,010 Info:Square Root: Total cpu/real time for sqrt: 13082.6/1197.61
2021-11-23 20:56:43,011 Info:Lattice Sieving: Aggregate statistics:
2021-11-23 20:56:43,011 Info:Lattice Sieving: Total number of relations: 180046169
2021-11-23 20:56:43,011 Info:Lattice Sieving: Average J: 7929.66 for 1286681 special-q, max bucket fill -bkmult 1.0,1s:1.078840
2021-11-23 20:56:43,011 Info:Lattice Sieving: Total time: 2.30227e+06s
2021-11-23 20:56:43,011 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 1127.59/839.467
2021-11-23 20:56:43,011 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
2021-11-23 20:56:43,011 Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 839.4s
2021-11-23 20:56:43,012 Info:Quadratic Characters: Total cpu/real time for characters: 143.12/43.7913
2021-11-23 20:56:43,012 Info:Generate Free Relations: Total cpu/real time for freerel: 3419.78/561.483
2021-11-23 20:56:43,012 Info:Filtering - Singleton removal: Total cpu/real time for purge: 724.55/317.437
2021-11-23 20:56:43,012 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 2710.09/1366.62
2021-11-23 20:56:43,012 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
2021-11-23 20:56:43,012 Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 1194.7s
2021-11-23 20:56:43,012 Info:Polynomial Selection (root optimized): Aggregate statistics:
2021-11-23 20:56:43,013 Info:Polynomial Selection (root optimized): Total time: 13816.4
2021-11-23 20:56:43,013 Info:Polynomial Selection (root optimized): Rootsieve time: 13815.2
2021-11-23 20:56:43,013 Info:Polynomial Selection (size optimized): Aggregate statistics:
2021-11-23 20:56:43,013 Info:Polynomial Selection (size optimized): potential collisions: 159501
2021-11-23 20:56:43,013 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 160930/46.460/56.054/62.840/1.065
2021-11-23 20:56:43,013 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 132745/45.250/50.076/56.650/1.213
2021-11-23 20:56:43,014 Info:Polynomial Selection (size optimized): Total time: 186327
2021-11-23 20:56:43,014 Info:Square Root: Total cpu/real time for sqrt: 13082.6/1197.61
2021-11-23 20:56:43,014 Info:Linear Algebra: Total cpu/real time for bwc: 227839/40147
2021-11-23 20:56:43,014 Info:Linear Algebra: Aggregate statistics:
2021-11-23 20:56:43,014 Info:Linear Algebra: Krylov: CPU time 145998.72, WCT time 25508.39, iteration CPU time 0.19, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (123000 iterations)
2021-11-23 20:56:43,014 Info:Linear Algebra: Lingen CPU time 1341.7, WCT time 114.71
2021-11-23 20:56:43,014 Info:Linear Algebra: Mksol: CPU time 74926.65,  WCT time 13488.78, iteration CPU time 0.21, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (60000 iterations)
2021-11-23 20:56:43,014 Info:Filtering - Merging: Total cpu/real time for merge: 381.17/88.2017
2021-11-23 20:56:43,015 Info:Filtering - Merging: Total cpu/real time for replay: 124.05/92.9329
2021-11-23 20:56:43,015 Info:Generate Factor Base: Total cpu/real time for makefb: 29.55/5.64257
2021-11-23 20:56:43,015 Info:HTTP server: Shutting down HTTP server
2021-11-23 20:56:43,119 Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 4.70755e+06/448081
58874205205597501275758686383996636179016831499322208172163178452881914393823209451 235450138830880166685197774430824273002903341883832964517171158656463061
software ソフトウェア
GMP-ECM 7.0.4
cado-nfs-3.0.0, git(branch=master, commit=ea848a4f6e44420f6)
execution environment 実行環境
Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz, 64GB RAM, Linux Debian 64-bit

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 23, 2016 13:31:18 UTC 2016 年 9 月 23 日 (金) 22 時 31 分 18 秒 (日本時間)
4511e63072Youcef LemsaferNovember 18, 2021 08:17:09 UTC 2021 年 11 月 18 日 (木) 17 時 17 分 9 秒 (日本時間)
5043e60 / 4172--
5511e71080 / 17559Youcef LemsaferNovember 18, 2021 13:59:08 UTC 2021 年 11 月 18 日 (木) 22 時 59 分 8 秒 (日本時間)

97×10258-13

c239

name 名前Serge Batalov
date 日付September 10, 2016 06:29:00 UTC 2016 年 9 月 10 日 (土) 15 時 29 分 0 秒 (日本時間)
composite number 合成数
24445203392611917850096243097779493738144893777573080585279841572449046780801651395353183030486100759383177769747093526096282206621700334200175434668093120147499185074933206306335273442962794614455661624283026966861598584526594391936665523<239>
prime factors 素因数
109395535625548938709611810189412511<36>
223457047427288499341152545127625396905402790578421599839848940633106291330995078369391568435632353593059609080315622094239856283751668881880550836285246384852777198548315925220776728550957458053181482093<204>
factorization results 素因数分解の結果
Using B1=6000000, B2=6000000-35128842850, polynomial Dickson(12), sigma=2994266424
Step 1 took 31972ms
Step 2 took 16525ms
********** Factor found in step 2: 109395535625548938709611810189412511
Found probable prime factor of 36 digits: 109395535625548938709611810189412511
Probable prime cofactor  has 204 digits

ECM

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

97×10259-13

c238

composite cofactor 合成数の残り
1367071558332180742244719648884219874677598242719564123215574915286884591416810594427476597464574787127015536570572898896062296376888720625045565057891264817277034143490633944228375426927061985094166039262361652062467768133656649026229279<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 23, 2016 13:31:26 UTC 2016 年 9 月 23 日 (金) 22 時 31 分 26 秒 (日本時間)
4511e63072Youcef LemsaferSeptember 21, 2021 06:19:29 UTC 2021 年 9 月 21 日 (火) 15 時 19 分 29 秒 (日本時間)
5043e60--
5511e73200 / 17559Youcef LemsaferSeptember 24, 2021 17:26:45 UTC 2021 年 9 月 25 日 (土) 2 時 26 分 45 秒 (日本時間)

97×10264-13

c216

name 名前KTakahashi
date 日付September 10, 2016 23:27:40 UTC 2016 年 9 月 11 日 (日) 8 時 27 分 40 秒 (日本時間)
composite number 合成数
313125472010267554085066518440718437879054272386127032885349125991648263030508497362485618628005596176114951995362939563984386634821261818279075201742130612712841386442249997101289688496444332844299172564417543098927<216>
prime factors 素因数
168110871395283744365037216401935699306987<42>
1862612866207843072967816640951152807362953967385802798210315203469603831505051569988722037631795517162083386489948139151237159904216317141707021534635708024704743386983580621<175>
factorization results 素因数分解の結果
Input number is 313125472010267554085066518440718437879054272386127032885349125991648263030508497362485618628005596176114951995362939563984386634821261818279075201742130612712841386442249997101289688496444332844299172564417543098927 (216 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1865303664
Step 1 took 26567ms
Step 2 took 10437ms
********** Factor found in step 2: 168110871395283744365037216401935699306987
Found probable prime factor of 42 digits: 168110871395283744365037216401935699306987
Probable prime cofactor 1862612866207843072967816640951152807362953967385802798210315203469603831505051569988722037631795517162083386489948139151237159904216317141707021534635708024704743386983580621 has 175 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

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

97×10266-13

c268

composite cofactor 合成数の残り
3233333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<268>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovSeptember 9, 2016 15:50:04 UTC 2016 年 9 月 10 日 (土) 0 時 50 分 4 秒 (日本時間)
4511e62000Dmitry DomanovSeptember 9, 2016 23:48:58 UTC 2016 年 9 月 10 日 (土) 8 時 48 分 58 秒 (日本時間)
5043e65440640Dmitry DomanovSeptember 10, 2016 22:36:39 UTC 2016 年 9 月 11 日 (日) 7 時 36 分 39 秒 (日本時間)
3200Dmitry DomanovOctober 17, 2016 13:48:49 UTC 2016 年 10 月 17 日 (月) 22 時 48 分 49 秒 (日本時間)
1600Dmitry DomanovOctober 29, 2016 23:51:01 UTC 2016 年 10 月 30 日 (日) 8 時 51 分 1 秒 (日本時間)
5511e7680 / 15693Dmitry DomanovOctober 31, 2016 14:31:52 UTC 2016 年 10 月 31 日 (月) 23 時 31 分 52 秒 (日本時間)

97×10268-13

c244

name 名前Youcef Lemsafer
date 日付August 21, 2021 08:49:25 UTC 2021 年 8 月 21 日 (土) 17 時 49 分 25 秒 (日本時間)
composite number 合成数
1559237454495636016811130693076182912801620232842626327034233145464153570896179388904566543931593337208990789921871157652578935345581635513288453918176636552940580547189376163656370009118803154088916240958843604298327966200830890689197960465379<244>
prime factors 素因数
129147706414693667359238946775395963096899992430801<51>
12073288003186986052119396484394550326768027832679844914927867262255774155425322339687145567290431694427822209833829582125633729222460433241687914418954498323206899748280536838996152838953752179<194>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
Input number is (97*10^268-1)/(3*467*593*45395837*16494935407441) (244 digits)
[Fri Aug 20 20:35:48 2021]
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=1:1546126420
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35    40      45      50      55      60      65      70      75      80
38      151     692     3583    20479   128305  872747  6392233 5e+07   4.3e+08
Step 1 took 418743ms
Using 29 small primes for NTT
Estimated memory usage: 653.77MB
Initializing tables of differences for F took 554ms
Computing roots of F took 24714ms
Building F from its roots took 9650ms
Computing 1/F took 4289ms
Initializing table of differences for G took 468ms
Computing roots of G took 16854ms
Building G from its roots took 6540ms
Computing roots of G took 10682ms
Building G from its roots took 6621ms
Computing G * H took 1397ms
Reducing  G * H mod F took 1430ms
Computing roots of G took 10780ms
Building G from its roots took 6631ms
Computing G * H took 1378ms
Reducing  G * H mod F took 1433ms
Computing roots of G took 10742ms
Building G from its roots took 6704ms
Computing G * H took 1395ms
Reducing  G * H mod F took 1412ms
Computing polyeval(F,G) took 11886ms
Computing product of all F(g_i) took 55ms
Step 2 took 135967ms
********** Factor found in step 2: 129147706414693667359238946775395963096899992430801
Found prime factor of 51 digits: 129147706414693667359238946775395963096899992430801
Prime cofactor ((97*10^268-1)/(3*467*593*45395837*16494935407441))/129147706414693667359238946775395963096899992430801 has 194 digits
execution environment 実行環境
Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz, 64GB RAM, 64-bit Linux Debian

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 23, 2016 13:31:36 UTC 2016 年 9 月 23 日 (金) 22 時 31 分 36 秒 (日本時間)
4511e63072Youcef LemsaferAugust 19, 2021 07:40:03 UTC 2021 年 8 月 19 日 (木) 16 時 40 分 3 秒 (日本時間)
5043e60 / 2036--
5511e71966 / 17559Youcef LemsaferAugust 21, 2021 08:48:03 UTC 2021 年 8 月 21 日 (土) 17 時 48 分 3 秒 (日本時間)

97×10270-13

c247

composite cofactor 合成数の残り
9126253597569509086817917406236139318745973593074881996280907625791360546060304017640212509470759300482434199994298253540162791776449269536243462044079793647024391036593791303729678310679131953276638333885883912351755579433463831238604461824372901<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 23, 2016 13:31:45 UTC 2016 年 9 月 23 日 (金) 22 時 31 分 45 秒 (日本時間)
4511e63072Youcef LemsaferAugust 23, 2021 07:49:25 UTC 2021 年 8 月 23 日 (月) 16 時 49 分 25 秒 (日本時間)
5043e60--
5511e73200 / 17559Youcef LemsaferAugust 26, 2021 07:39:42 UTC 2021 年 8 月 26 日 (木) 16 時 39 分 42 秒 (日本時間)

97×10271-13

c196

name 名前Youcef Lemsafer
date 日付August 26, 2021 17:18:32 UTC 2021 年 8 月 27 日 (金) 2 時 18 分 32 秒 (日本時間)
composite number 合成数
3045480810920063334153786839094305888259146226247194400997898689443907241448425940420288131741929409731610902305704197786744372130303833624628220854476326208537141206974914131944416837732085548653<196>
prime factors 素因数
408675587737108718454001667565670556688667<42>
7452074218044921918633196593230696287786470548914691316825302580723249814472189869728680754291626791176014655943156111785108033279976609026366009497351959<154>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
Input number is (97*10^271-1)/(3*19*23*179*352853*60056281*5109809738636059*9201288876952427329*1362242732560304553857209) (196 digits)
[Thu Aug 26 15:43:44 2021]
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=0:18377493365063230790
dF=32768, k=3, d=324870, d2=11, i0=23
Expected number of curves to find a factor of n digits:
35     40      45      50      55      60      65      70      75      80
122     686     4482    33676   284176  2657998 2.7e+07 3e+08   3.7e+09 4.4e+10
Step 1 took 33279ms
********** Factor found in step 1: 408675587737108718454001667565670556688667
Found prime factor of 42 digits: 408675587737108718454001667565670556688667
Prime cofactor ((97*10^271-1)/(3*19*23*179*352853*60056281*5109809738636059*9201288876952427329*1362242732560304553857209))/408675587737108718454001667565670556688667 has 154 digits
execution environment 実行環境
Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz, 64GB RAM, 64-bit Linux Debian 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 23, 2016 13:31:56 UTC 2016 年 9 月 23 日 (金) 22 時 31 分 56 秒 (日本時間)
4511e62775 / 3865Youcef LemsaferAugust 26, 2021 17:17:19 UTC 2021 年 8 月 27 日 (金) 2 時 17 分 19 秒 (日本時間)
5043e60 / 6813--
5511e712 / 17578Youcef LemsaferAugust 26, 2021 17:17:19 UTC 2021 年 8 月 27 日 (金) 2 時 17 分 19 秒 (日本時間)

97×10272-13

c210

composite cofactor 合成数の残り
780919642651747840087079448723718040596270550817506391878590546505404431460458667309085499401398419098161358274676686646186469981737908355665976138854558869232319487200306715098542098789771247302607851697281557<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 23, 2016 13:32:08 UTC 2016 年 9 月 23 日 (金) 22 時 32 分 8 秒 (日本時間)
4511e63072Youcef LemsaferAugust 27, 2021 11:17:58 UTC 2021 年 8 月 27 日 (金) 20 時 17 分 58 秒 (日本時間)
5043e60--
5511e73200 / 17559Youcef LemsaferAugust 29, 2021 18:40:50 UTC 2021 年 8 月 30 日 (月) 3 時 40 分 50 秒 (日本時間)

97×10273-13

c258

composite cofactor 合成数の残り
129365104543576777949294215983158568619768085049417727189381917581125879273309362758457979525640112245524468971294447005482489282113894509528929902851393703905553368854811172247859698251459723167487830546716142536771611769513724683199692260447344035370035751<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 26, 2016 07:37:21 UTC 2016 年 9 月 26 日 (月) 16 時 37 分 21 秒 (日本時間)
4511e63072Youcef LemsaferAugust 30, 2021 07:55:10 UTC 2021 年 8 月 30 日 (月) 16 時 55 分 10 秒 (日本時間)
5043e60--
5511e73200 / 17559Youcef LemsaferSeptember 3, 2021 17:09:02 UTC 2021 年 9 月 4 日 (土) 2 時 9 分 2 秒 (日本時間)

97×10274-13

c238

name 名前Youcef Lemsafer
date 日付September 5, 2021 11:46:57 UTC 2021 年 9 月 5 日 (日) 20 時 46 分 57 秒 (日本時間)
composite number 合成数
3092063783621615192300151545636775784692437464073315133565034511590864046117068004976469384788715055019431941677429779555275061024518629447387567286719227319638961841294926752121726515356155514505210077914067715082448946794407357041780347<238>
prime factors 素因数
193547539671072033694050972665991434816060473968906133<54>
composite cofactor 合成数の残り
15975732829652500373835456139596932252709346432509900494314167662181336280691140561866808286668013078358716799024683509172734600067822301325802337775888792041107750782293257470659844559<185>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
Input number is (97*10^274-1)/(3*2143*20328910271323*2400301328527384889251) (238 digits)
[Sat Sep  4 22:47:17 2021]
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=0:10719461181104226581
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35       40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+07 3.6e+08
Step 1 took 430080ms
Using 28 small primes for NTT
Estimated memory usage: 646.77MB
Initializing tables of differences for F took 283ms
Computing roots of F took 12571ms
Building F from its roots took 5802ms
Computing 1/F took 2592ms
Initializing table of differences for G took 230ms
Computing roots of G took 10708ms
Building G from its roots took 6214ms
Computing roots of G took 10638ms
Building G from its roots took 6444ms
Computing G * H took 1348ms
Reducing  G * H mod F took 1356ms
Computing roots of G took 10729ms
Building G from its roots took 6223ms
Computing G * H took 1337ms
Reducing  G * H mod F took 1369ms
Computing roots of G took 10894ms
Building G from its roots took 6264ms
Computing G * H took 1335ms
Reducing  G * H mod F took 1359ms
Computing polyeval(F,G) took 11222ms
Computing product of all F(g_i) took 55ms
Step 2 took 109261ms
********** Factor found in step 2: 193547539671072033694050972665991434816060473968906133
Found prime factor of 54 digits: 193547539671072033694050972665991434816060473968906133
Composite cofactor ((97*10^274-1)/(3*2143*20328910271323*2400301328527384889251))/193547539671072033694050972665991434816060473968906133 has 185 digits
execution environment 実行環境
Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz, 64GB RAM, Linux Debian 64-bit

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 26, 2016 07:37:30 UTC 2016 年 9 月 26 日 (月) 16 時 37 分 30 秒 (日本時間)
4511e63072Youcef LemsaferSeptember 4, 2021 13:37:20 UTC 2021 年 9 月 4 日 (土) 22 時 37 分 20 秒 (日本時間)
5043e60--
5511e73200 / 17559Youcef LemsaferSeptember 7, 2021 17:06:22 UTC 2021 年 9 月 8 日 (水) 2 時 6 分 22 秒 (日本時間)

97×10275-13

c191

composite cofactor 合成数の残り
49154075591706806626708025912288285792788830896591757488712433768167774677718428187935699126670949356914930996800980259386736409809403427362811825573345975465288336236682328834068785176129493<191>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovSeptember 9, 2016 15:31:06 UTC 2016 年 9 月 10 日 (土) 0 時 31 分 6 秒 (日本時間)
4511e62000Dmitry DomanovSeptember 10, 2016 09:35:56 UTC 2016 年 9 月 10 日 (土) 18 時 35 分 56 秒 (日本時間)
5043e6640Dmitry DomanovSeptember 11, 2016 00:22:36 UTC 2016 年 9 月 11 日 (日) 9 時 22 分 36 秒 (日本時間)
5511e73200 / 17406Youcef LemsaferSeptember 10, 2021 09:39:54 UTC 2021 年 9 月 10 日 (金) 18 時 39 分 54 秒 (日本時間)

97×10276-13

c224

composite cofactor 合成数の残り
16692827963566307925075282304459944241656521573573305450498975989673445806919408414066373495484313797035465256687920309664553952238293723848651210708655599432820566164363812359476660958315354414942803636979278317252494880001<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 26, 2016 07:37:51 UTC 2016 年 9 月 26 日 (月) 16 時 37 分 51 秒 (日本時間)
4511e63072Youcef LemsaferSeptember 11, 2021 07:35:55 UTC 2021 年 9 月 11 日 (土) 16 時 35 分 55 秒 (日本時間)
5043e60--
5511e73200 / 17559Youcef LemsaferSeptember 14, 2021 07:21:41 UTC 2021 年 9 月 14 日 (火) 16 時 21 分 41 秒 (日本時間)

97×10278-13

c221

composite cofactor 合成数の残り
34814811706308721540023595701973911079928007655232250120658061077673662417549485583893884108509664803815561703244288068025883875581020151827395936823567440806979722045269494815745155608829932292790788124911710752832447217<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 26, 2016 07:38:14 UTC 2016 年 9 月 26 日 (月) 16 時 38 分 14 秒 (日本時間)
4511e63072Youcef LemsaferSeptember 25, 2021 07:29:50 UTC 2021 年 9 月 25 日 (土) 16 時 29 分 50 秒 (日本時間)
5043e60--
5511e73200 / 17559Youcef LemsaferSeptember 28, 2021 13:23:26 UTC 2021 年 9 月 28 日 (火) 22 時 23 分 26 秒 (日本時間)

97×10279-13

c265

composite cofactor 合成数の残り
6196203047146910516696583023999282158434735562346848122516286332869600673922189401243485039722838717725991922985641745800935903612729964964799895011108741664512944808837541245365843083169508049972624887931333267076300009140877677138201020364363608956619259253422589<265>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 26, 2016 07:38:36 UTC 2016 年 9 月 26 日 (月) 16 時 38 分 36 秒 (日本時間)
4511e63072Youcef LemsaferSeptember 29, 2021 08:01:56 UTC 2021 年 9 月 29 日 (水) 17 時 1 分 56 秒 (日本時間)
5043e60--
5511e73200 / 17559Youcef LemsaferOctober 3, 2021 11:36:40 UTC 2021 年 10 月 3 日 (日) 20 時 36 分 40 秒 (日本時間)

97×10280-13

c257

composite cofactor 合成数の残り
28674493978307892689238793501568130728201711304429465679378709062815520870462515969861125485906221154378661020332595389807481307899014839415124382098382119719178097522418592347155088943167037585360487016434705174015842767014205968778363616734714116725098137<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 26, 2016 07:38:45 UTC 2016 年 9 月 26 日 (月) 16 時 38 分 45 秒 (日本時間)
4511e63072Youcef LemsaferOctober 4, 2021 07:55:10 UTC 2021 年 10 月 4 日 (月) 16 時 55 分 10 秒 (日本時間)
5043e60--
5511e73200 / 17559Youcef LemsaferOctober 8, 2021 15:14:25 UTC 2021 年 10 月 9 日 (土) 0 時 14 分 25 秒 (日本時間)

97×10281-13

c238

composite cofactor 合成数の残り
1106793163747533276470852412820309811709922740033086754126578834566117071215865312423335240286868770917524950203961296345254061959844829554985127638735180420128889257216903077398137057039347219067674326874169286628469530645557900550850761<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 26, 2016 07:38:57 UTC 2016 年 9 月 26 日 (月) 16 時 38 分 57 秒 (日本時間)
4511e63072Youcef LemsaferOctober 9, 2021 09:58:39 UTC 2021 年 10 月 9 日 (土) 18 時 58 分 39 秒 (日本時間)
5043e60--
5511e73200 / 17559Youcef LemsaferOctober 12, 2021 14:59:22 UTC 2021 年 10 月 12 日 (火) 23 時 59 分 22 秒 (日本時間)

97×10282-13

c222

composite cofactor 合成数の残り
196878652417315737355211781427786216090086266129682138524764044202335698401906710311879738755940508991041907023310311547559781955314085446492944840192612749955397705153408141313971358680485038409609022468153473004959614319<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 26, 2016 07:39:05 UTC 2016 年 9 月 26 日 (月) 16 時 39 分 5 秒 (日本時間)
4511e63072Youcef LemsaferOctober 13, 2021 07:46:43 UTC 2021 年 10 月 13 日 (水) 16 時 46 分 43 秒 (日本時間)
5043e60--
5511e73200 / 17559Youcef LemsaferOctober 16, 2021 22:08:19 UTC 2021 年 10 月 17 日 (日) 7 時 8 分 19 秒 (日本時間)

97×10284-13

c278

name 名前Youcef Lemsafer
date 日付October 17, 2021 08:39:46 UTC 2021 年 10 月 17 日 (日) 17 時 39 分 46 秒 (日本時間)
composite number 合成数
43277922111135232232029341431783663822062385999204926569479533953174011061667349230884622545378317904687176091801699472246263405397721494141081751829787200627706551613069213260960333433100097903136934151932106916437921655512406872325226428192287841263648936420302008777770935107<278>
prime factors 素因数
10235421430272415236238726755423358872931<41>
4228250141526746346276130125903929292074673855037478430527022543702296227580643849808174808987886879747836485959460897218923008023518704644151230073041905631008858423640653053232065192063444254770191740964509767136344175784459228344436897<238>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
Input number is (97*10^284-1)/(3*1879*39761) (278 digits)
[Sun Oct 17 01:01:14 2021]
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=0:6499437636562686046
dF=32768, k=3, d=324870, d2=11, i0=23
Expected number of curves to find a factor of n digits:
35    40      45      50      55      60      65      70      75      80
122     686     4482    33676   284176  2657998 2.7e+07 3e+08   3.7e+09 4.4e+10
Step 1 took 107434ms
********** Factor found in step 1: 10235421430272415236238726755423358872931
Found prime factor of 41 digits: 10235421430272415236238726755423358872931
Prime cofactor ((97*10^284-1)/(3*1879*39761))/10235421430272415236238726755423358872931 has 238 digits
execution environment 実行環境
Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz, 64GB RAM, Debian Linux 64-bit

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 26, 2016 07:39:32 UTC 2016 年 9 月 26 日 (月) 16 時 39 分 32 秒 (日本時間)
4511e6266 / 3952Youcef LemsaferOctober 17, 2021 08:38:17 UTC 2021 年 10 月 17 日 (日) 17 時 38 分 17 秒 (日本時間)

97×10285-13

c281

composite cofactor 合成数の残り
44646165331654269301066583081680849878880016422424526117776584144903962416213646169474081980485483322355899898694628974256652853971598595072628264520705004374863932756431234089050228777077093801593361805619801540891054611465595526914503513929373448603288443225036464870602065046241<281>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 26, 2016 07:39:38 UTC 2016 年 9 月 26 日 (月) 16 時 39 分 38 秒 (日本時間)
4511e63072Youcef LemsaferOctober 18, 2021 07:09:06 UTC 2021 年 10 月 18 日 (月) 16 時 9 分 6 秒 (日本時間)
5043e60--
5511e73200 / 17559Youcef LemsaferOctober 22, 2021 11:43:52 UTC 2021 年 10 月 22 日 (金) 20 時 43 分 52 秒 (日本時間)

97×10286-13

c263

composite cofactor 合成数の残り
34880784498452630038784320091049817052362783330574793301321003176600733495723831377630628257972948195207046843947111337331688160127486208470557744275114758690460953564943797542393091170478306617526560387276975785348668775162766358186141521458446819826320422604573<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 26, 2016 07:39:44 UTC 2016 年 9 月 26 日 (月) 16 時 39 分 44 秒 (日本時間)
4511e63072Youcef LemsaferOctober 23, 2021 10:09:35 UTC 2021 年 10 月 23 日 (土) 19 時 9 分 35 秒 (日本時間)
5043e60--
5511e73200 / 17559Youcef LemsaferOctober 27, 2021 05:45:11 UTC 2021 年 10 月 27 日 (水) 14 時 45 分 11 秒 (日本時間)

97×10287-13

c273

name 名前Youcef Lemsafer
date 日付October 27, 2021 18:00:24 UTC 2021 年 10 月 28 日 (木) 3 時 0 分 24 秒 (日本時間)
composite number 合成数
166084122185176249808441206536908713947712026701010252095529091382762137328080722200257614139639689022308850749859594514701456810720225364809213098016813532653675316445324645295461643892670360537757524758865163643191506719269465992947960592659038924649903567006379853612283<273>
prime factors 素因数
188073777584184938191070761407894545453503578822923<51>
883079631400683945007597233555417842178261338068218246325643655058941217113008613800287859759007827386493685782195564275718529319675755318150462167818494600441415409337150660442834937463788084819758880309715907946735098321<222>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
Input number is (97*10^287-1)/(3*19468046016634351) (273 digits)
[Wed Oct 27 14:55:59 2021]
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=0:4649479044830044380
dF=32768, k=3, d=324870, d2=11, i0=23
Expected number of curves to find a factor of n digits:
35     40      45      50      55      60      65      70      75      80
122     686     4482    33676   284176  2657998 2.7e+07 3e+08   3.7e+09 4.4e+10
Step 1 took 106855ms
Using 32 small primes for NTT
Estimated memory usage: 175.87MB
Initializing tables of differences for F took 99ms
Computing roots of F took 2773ms
Building F from its roots took 2255ms
Computing 1/F took 1095ms
Initializing table of differences for G took 82ms
Computing roots of G took 2426ms
Building G from its roots took 2647ms
Computing roots of G took 2426ms
Building G from its roots took 2536ms
Computing G * H took 568ms
Reducing  G * H mod F took 602ms
Computing roots of G took 2456ms
Building G from its roots took 2534ms
Computing G * H took 572ms
Reducing  G * H mod F took 610ms
Computing polyeval(F,G) took 4445ms
Computing product of all F(g_i) took 32ms
Step 2 took 28266ms
********** Factor found in step 2: 188073777584184938191070761407894545453503578822923
Found prime factor of 51 digits: 188073777584184938191070761407894545453503578822923
Prime cofactor ((97*10^287-1)/(3*19468046016634351))/188073777584184938191070761407894545453503578822923 has 222 digits
execution environment 実行環境
Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz, 64GB RAM, Linux Debian 64-bit

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 26, 2016 07:39:49 UTC 2016 年 9 月 26 日 (月) 16 時 39 分 49 秒 (日本時間)
4511e62234 / 3952Youcef LemsaferOctober 27, 2021 17:58:55 UTC 2021 年 10 月 28 日 (木) 2 時 58 分 55 秒 (日本時間)

97×10289-13

c257

composite cofactor 合成数の残り
47969936350271892147587792218980760678999410472776409634905956963176699100012878251672263704174729226459281925957691152002865145718249511229851473549766697637742536840777748646030776545403834001617049109984514925854552927316779367966351123227894811720483259<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 26, 2016 07:40:24 UTC 2016 年 9 月 26 日 (月) 16 時 40 分 24 秒 (日本時間)
4511e63072Youcef LemsaferOctober 28, 2021 07:49:30 UTC 2021 年 10 月 28 日 (木) 16 時 49 分 30 秒 (日本時間)
5043e60--
5511e73200 / 17559Youcef LemsaferNovember 1, 2021 10:48:22 UTC 2021 年 11 月 1 日 (月) 19 時 48 分 22 秒 (日本時間)

97×10292-13

c209

name 名前Youcef Lemsafer
date 日付November 4, 2021 15:54:07 UTC 2021 年 11 月 5 日 (金) 0 時 54 分 7 秒 (日本時間)
composite number 合成数
49818773830506881433625434733430824277628572749568093914506175787791413698268046531765895041078827481008264437552917438198837181257686262605423176167200351655289846744029742112959276608877691207679709038333429<209>
prime factors 素因数
48965495737649982316724757503151847732927<41>
composite cofactor 合成数の残り
1017426109549235226072114746990972254908310830062712797143416800360654423862234734051027135855483361977461225827309461172772532040666062275420304691091835289381981617227<169>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
Tuned for x86_64/k8/params.h
Input number is (97*10^292-1)/(3*22993*1839550755342810661*2741294741908183160828512783709*55975025220609604858599653657761) (209 digits)
[Mon Nov  1 13:07:48 2021]
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=0:1428724985177759023
dF=32768, k=3, d=324870, d2=11, i0=23
Expected number of curves to find a factor of n digits:
35       40      45      50      55      60      65      70      75      80
122     686     4482    33676   284176  2657998 2.7e+07 3e+08   3.7e+09 4.4e+10
Step 1 took 70451ms
Using 25 small primes for NTT
Estimated memory usage: 135.42MB
Initializing tables of differences for F took 64ms
Computing roots of F took 1993ms
Building F from its roots took 1552ms
Computing 1/F took 783ms
Initializing table of differences for G took 56ms
Computing roots of G took 1796ms
Building G from its roots took 1747ms
Computing roots of G took 1797ms
Building G from its roots took 1752ms
Computing G * H took 409ms
Reducing  G * H mod F took 433ms
Computing roots of G took 1797ms
Building G from its roots took 1739ms
Computing G * H took 413ms
Reducing  G * H mod F took 433ms
Computing polyeval(F,G) took 3153ms
Computing product of all F(g_i) took 21ms
Step 2 took 20035ms
********** Factor found in step 2: 48965495737649982316724757503151847732927
Found prime factor of 41 digits: 48965495737649982316724757503151847732927
Composite cofactor ((97*10^292-1)/(3*22993*1839550755342810661*2741294741908183160828512783709*55975025220609604858599653657761))/48965495737649982316724757503151847732927 has 169 digits
execution environment 実行環境
Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz, 64GB RAM, Debian Linux 64-bit

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 26, 2016 07:40:29 UTC 2016 年 9 月 26 日 (月) 16 時 40 分 29 秒 (日本時間)
4511e630823072Youcef LemsaferNovember 2, 2021 08:14:53 UTC 2021 年 11 月 2 日 (火) 17 時 14 分 53 秒 (日本時間)
10Youcef LemsaferNovember 4, 2021 15:52:42 UTC 2021 年 11 月 5 日 (金) 0 時 52 分 42 秒 (日本時間)
5043e60--
5511e73200 / 17558Youcef LemsaferNovember 4, 2021 15:52:42 UTC 2021 年 11 月 5 日 (金) 0 時 52 分 42 秒 (日本時間)

97×10293-13

c240

name 名前KTakahashi
date 日付September 10, 2016 23:30:04 UTC 2016 年 9 月 11 日 (日) 8 時 30 分 4 秒 (日本時間)
composite number 合成数
935480760590235328324069115712353934067561915762919722412760815917907963292613241655167539350488445591157643279821634735772055839198902732924754837775239481597050948919507466322584010084452269523218041827351991979045058089833684211675748293<240>
prime factors 素因数
9057029131478301162838447376326770369317259811<46>
103287816237546409379060967221098915718708273109298622885163481406495483446727757139238440821764888155070695305409349945010445075579142382613726936590797324250540875938865788393775274582807638263<195>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM]
Input number is 935480760590235328324069115712353934067561915762919722412760815917907963292613241655167539350488445591157643279821634735772055839198902732924754837775239481597050948919507466322584010084452269523218041827351991979045058089833684211675748293 (240 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4222019182
Step 1 took 24320ms
Step 2 took 9579ms
********** Factor found in step 2: 9057029131478301162838447376326770369317259811
Found probable prime factor of 46 digits: 9057029131478301162838447376326770369317259811
Probable prime cofactor 103287816237546409379060967221098915718708273109298622885163481406495483446727757139238440821764888155070695305409349945010445075579142382613726936590797324250540875938865788393775274582807638263 has 195 digits

ECM

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

97×10295-13

c250

composite cofactor 合成数の残り
2119279969639758817995972329056638750503222563079458849146348739881632936855074276996554926603819587736762178855879999469836433830012061235264699109368401203587952350773457084303677227216353742699249479456872619492228267958651462881535985463887372219<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 26, 2016 07:40:34 UTC 2016 年 9 月 26 日 (月) 16 時 40 分 34 秒 (日本時間)
4511e63072Youcef LemsaferNovember 5, 2021 06:47:19 UTC 2021 年 11 月 5 日 (金) 15 時 47 分 19 秒 (日本時間)
5043e60--
5511e73200 / 17559Youcef LemsaferNovember 8, 2021 13:02:34 UTC 2021 年 11 月 8 日 (月) 22 時 2 分 34 秒 (日本時間)

97×10296-13

c270

composite cofactor 合成数の残り
137187117377839063676643298379223098770059628159775396429704934275871864027184680128505800898205015841117985562433871500002824597662548810630270290449408912892052031745731488107413566041792198628557334634832631847529872106994893318436124287321953614351181483577922579691<270>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 26, 2016 07:40:39 UTC 2016 年 9 月 26 日 (月) 16 時 40 分 39 秒 (日本時間)
4511e63072Youcef LemsaferNovember 9, 2021 08:08:05 UTC 2021 年 11 月 9 日 (火) 17 時 8 分 5 秒 (日本時間)
5043e60--
5511e73200 / 17559Youcef LemsaferNovember 13, 2021 10:20:23 UTC 2021 年 11 月 13 日 (土) 19 時 20 分 23 秒 (日本時間)

97×10297-13

c290

name 名前Youcef Lemsafer
date 日付November 15, 2021 08:29:17 UTC 2021 年 11 月 15 日 (月) 17 時 29 分 17 秒 (日本時間)
composite number 合成数
23088325104376968208159192110732260338366026231493992464341527276848497645172808678727554027506092358594546651909456625282636237566167221279535825875933452623378009368563006945370689930112670552841659009905644339595298169036813080706678305153357745485873442441326668270857776356987310739593<290>
prime factors 素因数
68540501531068652069103700098846700318057361<44>
composite cofactor 合成数の残り
336856669977987913196932118697081829935311139254695133756571112021381053348589897258154305768990025887248447486464193899069068392269745973664978547871421826573077188618456594951335454745889931308668038768106586373801860089401591023249890276929913<246>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
Input number is (97*10^297-1)/(3*7*200059883) (290 digits)
[Sat Nov 13 15:52:11 2021]
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=0:5370511546749769578
dF=32768, k=3, d=324870, d2=11, i0=23
Expected number of curves to find a factor of n digits:
35   40      45      50      55      60      65      70      75      80
122     686     4482    33676   284176  2657998 2.7e+07 3e+08   3.7e+09 4.4e+10
Step 1 took 122917ms
Using 34 small primes for NTT
Estimated memory usage: 186.42MB
Initializing tables of differences for F took 112ms
Computing roots of F took 3153ms
Building F from its roots took 2519ms
Computing 1/F took 1217ms
Initializing table of differences for G took 94ms
Computing roots of G took 2753ms
Building G from its roots took 2786ms
Computing roots of G took 2753ms
Building G from its roots took 2794ms
Computing G * H took 629ms
Reducing  G * H mod F took 655ms
Computing roots of G took 2755ms
Building G from its roots took 2790ms
Computing G * H took 621ms
Reducing  G * H mod F took 663ms
Computing polyeval(F,G) took 4912ms
Computing product of all F(g_i) took 36ms
Step 2 took 31368ms
********** Factor found in step 2: 68540501531068652069103700098846700318057361
Found prime factor of 44 digits: 68540501531068652069103700098846700318057361
Composite cofactor ((97*10^297-1)/(3*7*200059883))/68540501531068652069103700098846700318057361 has 246 digits
execution environment 実行環境
Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz, 64GB RAM, Linux Debian 64-bit.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaSeptember 9, 2016 12:00:00 UTC 2016 年 9 月 9 日 (金) 21 時 0 分 0 秒 (日本時間)
403e62200Erik BrangerSeptember 26, 2016 07:40:44 UTC 2016 年 9 月 26 日 (月) 16 時 40 分 44 秒 (日本時間)
4511e63072Youcef LemsaferNovember 14, 2021 11:14:23 UTC 2021 年 11 月 14 日 (日) 20 時 14 分 23 秒 (日本時間)
5043e60--
5511e73200 / 17559Youcef LemsaferNovember 17, 2021 07:21:34 UTC 2021 年 11 月 17 日 (水) 16 時 21 分 34 秒 (日本時間)