Table of contents 目次

76×10102+239

c87

name 名前Sinkiti Sibata
date 日付January 14, 2010 06:36:33 UTC 2010 年 1 月 14 日 (木) 15 時 36 分 33 秒 (日本時間)
composite number 合成数
772925389473016977073741485454835294284589093086580536414508136485405496164294305152047<87>
prime factors 素因数
2844660335598597803815246803287005097<37>
271710959582937831976646734426378079536887182179351<51>
factorization results 素因数分解の結果
Thu Jan 14 14:34:04 2010  Msieve v. 1.42
Thu Jan 14 14:34:04 2010  random seeds: 53acd908 c8d12e25
Thu Jan 14 14:34:04 2010  factoring 772925389473016977073741485454835294284589093086580536414508136485405496164294305152047 (87 digits)
Thu Jan 14 14:34:05 2010  searching for 15-digit factors
Thu Jan 14 14:34:05 2010  commencing quadratic sieve (87-digit input)
Thu Jan 14 14:34:05 2010  using multiplier of 23
Thu Jan 14 14:34:05 2010  using 32kb Intel Core sieve core
Thu Jan 14 14:34:05 2010  sieve interval: 22 blocks of size 32768
Thu Jan 14 14:34:05 2010  processing polynomials in batches of 10
Thu Jan 14 14:34:05 2010  using a sieve bound of 1491727 (57000 primes)
Thu Jan 14 14:34:05 2010  using large prime bound of 119338160 (26 bits)
Thu Jan 14 14:34:05 2010  using double large prime bound of 345304846621840 (42-49 bits)
Thu Jan 14 14:34:05 2010  using trial factoring cutoff of 49 bits
Thu Jan 14 14:34:05 2010  polynomial 'A' values have 11 factors
Thu Jan 14 15:12:17 2010  57510 relations (16656 full + 40854 combined from 590156 partial), need 57096
Thu Jan 14 15:12:18 2010  begin with 606812 relations
Thu Jan 14 15:12:18 2010  reduce to 135244 relations in 13 passes
Thu Jan 14 15:12:18 2010  attempting to read 135244 relations
Thu Jan 14 15:12:20 2010  recovered 135244 relations
Thu Jan 14 15:12:20 2010  recovered 109529 polynomials
Thu Jan 14 15:12:21 2010  attempting to build 57510 cycles
Thu Jan 14 15:12:21 2010  found 57510 cycles in 6 passes
Thu Jan 14 15:12:21 2010  distribution of cycle lengths:
Thu Jan 14 15:12:21 2010     length 1 : 16656
Thu Jan 14 15:12:21 2010     length 2 : 11478
Thu Jan 14 15:12:21 2010     length 3 : 10237
Thu Jan 14 15:12:21 2010     length 4 : 7460
Thu Jan 14 15:12:21 2010     length 5 : 5052
Thu Jan 14 15:12:21 2010     length 6 : 3040
Thu Jan 14 15:12:21 2010     length 7 : 1758
Thu Jan 14 15:12:21 2010     length 9+: 1829
Thu Jan 14 15:12:21 2010  largest cycle: 18 relations
Thu Jan 14 15:12:21 2010  matrix is 57000 x 57510 (13.4 MB) with weight 3283744 (57.10/col)
Thu Jan 14 15:12:21 2010  sparse part has weight 3283744 (57.10/col)
Thu Jan 14 15:12:22 2010  filtering completed in 3 passes
Thu Jan 14 15:12:22 2010  matrix is 51920 x 51983 (12.2 MB) with weight 2982897 (57.38/col)
Thu Jan 14 15:12:22 2010  sparse part has weight 2982897 (57.38/col)
Thu Jan 14 15:12:22 2010  saving the first 48 matrix rows for later
Thu Jan 14 15:12:22 2010  matrix is 51872 x 51983 (8.5 MB) with weight 2403796 (46.24/col)
Thu Jan 14 15:12:22 2010  sparse part has weight 1918038 (36.90/col)
Thu Jan 14 15:12:22 2010  matrix includes 64 packed rows
Thu Jan 14 15:12:22 2010  using block size 20793 for processor cache size 1024 kB
Thu Jan 14 15:12:22 2010  commencing Lanczos iteration
Thu Jan 14 15:12:22 2010  memory use: 8.3 MB
Thu Jan 14 15:12:40 2010  lanczos halted after 821 iterations (dim = 51862)
Thu Jan 14 15:12:40 2010  recovered 12 nontrivial dependencies
Thu Jan 14 15:12:41 2010  prp37 factor: 2844660335598597803815246803287005097
Thu Jan 14 15:12:41 2010  prp51 factor: 271710959582937831976646734426378079536887182179351
Thu Jan 14 15:12:41 2010  elapsed time 00:38:37

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 14, 2010 02:00:00 UTC 2010 年 1 月 14 日 (木) 11 時 0 分 0 秒 (日本時間)

76×10111+239

c98

name 名前Serge Batalov
date 日付January 15, 2010 05:36:44 UTC 2010 年 1 月 15 日 (金) 14 時 36 分 44 秒 (日本時間)
composite number 合成数
56173246929815255283763584609830380152253499936942230807865191578896167372045154382977645466503461<98>
prime factors 素因数
22316451346960279706819225593281908929<38>
2517122729616534858504981308134947115135771693610871380503909<61>
factorization results 素因数分解の結果
SNFS difficulty: 112 digits.
Divisors found:
 r1=22316451346960279706819225593281908929 (pp38)
 r2=2517122729616534858504981308134947115135771693610871380503909 (pp61)
Version: Msieve v. 1.44 SVN157
Total time: 0.51 hours.
Scaled time: 1.23 units (timescale=2.400).
Factorization parameters were as follows:
n: 56173246929815255283763584609830380152253499936942230807865191578896167372045154382977645466503461
m: 10000000000000000000000
deg: 5
c5: 760
c0: 23
skew: 0.50
type: snfs
lss: 1
rlim: 530000
alim: 530000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
name: 84447_111
Factor base limits: 530000/530000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [265000, 515001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 53265 x 53490
Total sieving time: 0.49 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,112.000,5,0,0,0,0,0,0,0,0,530000,530000,25,25,45,45,2.2,2.2,50000
total time: 0.51 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 14, 2010 02:00:00 UTC 2010 年 1 月 14 日 (木) 11 時 0 分 0 秒 (日本時間)

76×10114+239

c105

name 名前Max Dettweiler
date 日付January 16, 2010 03:21:25 UTC 2010 年 1 月 16 日 (土) 12 時 21 分 25 秒 (日本時間)
composite number 合成数
932733442810297256743646981072953108816554515220301407903657132853907698179115650977155301958793271752499<105>
prime factors 素因数
29060858077805849001902975266592637887<38>
32095867242221515156580569876052714325453456702320541088111219169677<68>
factorization results 素因数分解の結果
Number: 84447_114
N=932733442810297256743646981072953108816554515220301407903657132853907698179115650977155301958793271752499
  ( 105 digits)
SNFS difficulty: 115 digits.
Divisors found:
 r1=29060858077805849001902975266592637887 (pp38)
 r2=32095867242221515156580569876052714325453456702320541088111219169677 (pp68)
Version: Msieve v. 1.43
Total time: 0.86 hours.
Scaled time: 0.90 units (timescale=1.056).
Factorization parameters were as follows:
n: 932733442810297256743646981072953108816554515220301407903657132853907698179115650977155301958793271752499
m: 20000000000000000000000
deg: 5
c5: 23750
c0: 23
skew: 0.25
type: snfs
lss: 1
rlim: 600000
alim: 600000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 600000/600000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [300000, 700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 71728 x 71953
Total sieving time: 0.81 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,115.000,5,0,0,0,0,0,0,0,0,600000,600000,25,25,45,45,2.2,2.2,50000
total time: 0.86 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS + msieve v1.43 w/factMsieve.pl
execution environment 実行環境
Core 2 Duo 2.2Ghz, Windows XP 32-bit, Cygwin

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 14, 2010 02:00:00 UTC 2010 年 1 月 14 日 (木) 11 時 0 分 0 秒 (日本時間)

76×10116+239

c109

name 名前Max Dettweiler
date 日付January 16, 2010 01:02:30 UTC 2010 年 1 月 16 日 (土) 10 時 2 分 30 秒 (日本時間)
composite number 合成数
8245269971506050277666572411296948972700604377963440210399587817218278102755872021167986126300444386744913107<109>
prime factors 素因数
72620883565828625024765708056974898721804064209<47>
113538552089248039874489189162235938252893500232180751671610723<63>
factorization results 素因数分解の結果
Number: 84447_116
N=8245269971506050277666572411296948972700604377963440210399587817218278102755872021167986126300444386744913107
  ( 109 digits)
SNFS difficulty: 117 digits.
Divisors found:
 r1=72620883565828625024765708056974898721804064209 (pp47)
 r2=113538552089248039874489189162235938252893500232180751671610723 (pp63)
Version: Msieve v. 1.43
Total time: 0.78 hours.
Scaled time: 0.85 units (timescale=1.102).
Factorization parameters were as follows:
n: 8245269971506050277666572411296948972700604377963440210399587817218278102755872021167986126300444386744913107
m: 100000000000000000000000
deg: 5
c5: 760
c0: 23
skew: 0.50
type: snfs
lss: 1
rlim: 650000
alim: 650000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 650000/650000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [325000, 675001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 80524 x 80757
Total sieving time: 0.72 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,117.000,5,0,0,0,0,0,0,0,0,650000,650000,25,25,45,45,2.2,2.2,50000
total time: 0.78 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS + msieve v1.43 w/factMsieve.pl
execution environment 実行環境
Core 2 Duo 2.2Ghz, Windows XP 32-bit, Cygwin

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 14, 2010 02:00:00 UTC 2010 年 1 月 14 日 (木) 11 時 0 分 0 秒 (日本時間)

76×10117+239

c111

name 名前Sinkiti Sibata
date 日付January 16, 2010 07:46:16 UTC 2010 年 1 月 16 日 (土) 16 時 46 分 16 秒 (日本時間)
composite number 合成数
115567457665545596940459826765019621613196622444338009857183362885072726745568249926086627544558010304155711651<111>
prime factors 素因数
4627498957611482129242081250798903<34>
24974064548508638977637826325423793743556698973336535406314299846721300080117<77>
factorization results 素因数分解の結果
Number: 84447_117
N=115567457665545596940459826765019621613196622444338009857183362885072726745568249926086627544558010304155711651
  ( 111 digits)
SNFS difficulty: 118 digits.
Divisors found:
 r1=4627498957611482129242081250798903 (pp34)
 r2=24974064548508638977637826325423793743556698973336535406314299846721300080117 (pp77)
Version: Msieve-1.40
Total time: 0.93 hours.
Scaled time: 3.12 units (timescale=3.344).
Factorization parameters were as follows:
name: 84447_117
n: 115567457665545596940459826765019621613196622444338009857183362885072726745568249926086627544558010304155711651
m: 100000000000000000000000
deg: 5
c5: 7600
c0: 23
skew: 0.31
type: snfs
lss: 1
rlim: 670000
alim: 670000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 670000/670000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [335000, 535001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 74719 x 74967
Total sieving time: 0.91 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,118.000,5,0,0,0,0,0,0,0,0,670000,670000,25,25,45,45,2.2,2.2,50000
total time: 0.93 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 14, 2010 02:00:00 UTC 2010 年 1 月 14 日 (木) 11 時 0 分 0 秒 (日本時間)

76×10121+239

c118

name 名前Sinkiti Sibata
date 日付January 14, 2010 07:19:25 UTC 2010 年 1 月 14 日 (木) 16 時 19 分 25 秒 (日本時間)
composite number 合成数
1634904347339730972187265385848181921830060297853757806130461064537849111235880127092301106356981364241630257777089397<118>
prime factors 素因数
33761285081093389090731214102614080233443133<44>
48425418150190364384901841281753800093994232098613459330816701723669856409<74>
factorization results 素因数分解の結果
Number: 84447_121
N=1634904347339730972187265385848181921830060297853757806130461064537849111235880127092301106356981364241630257777089397
  ( 118 digits)
SNFS difficulty: 122 digits.
Divisors found:
 r1=33761285081093389090731214102614080233443133 (pp44)
 r2=48425418150190364384901841281753800093994232098613459330816701723669856409 (pp74)
Version: Msieve-1.40
Total time: 1.41 hours.
Scaled time: 4.73 units (timescale=3.356).
Factorization parameters were as follows:
name: 84447_121
n: 1634904347339730972187265385848181921830060297853757806130461064537849111235880127092301106356981364241630257777089397
m: 1000000000000000000000000
deg: 5
c5: 760
c0: 23
skew: 0.50
type: snfs
lss: 1
rlim: 780000
alim: 780000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 780000/780000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [390000, 690001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 88348 x 88596
Total sieving time: 1.38 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,122.000,5,0,0,0,0,0,0,0,0,780000,780000,25,25,46,46,2.2,2.2,50000
total time: 1.41 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 14, 2010 02:00:00 UTC 2010 年 1 月 14 日 (木) 11 時 0 分 0 秒 (日本時間)

76×10123+239

c113

name 名前Sinkiti Sibata
date 日付January 14, 2010 09:39:35 UTC 2010 年 1 月 14 日 (木) 18 時 39 分 35 秒 (日本時間)
composite number 合成数
21888022160136152881092906781330383354933688519026208328839977300115466548322839536377716486559750181443705435431<113>
prime factors 素因数
372476489841882736225009191178393031<36>
58763499863918060142313076446861293120353977482610155737326917144762021930401<77>
factorization results 素因数分解の結果
Number: 84447_123
N=21888022160136152881092906781330383354933688519026208328839977300115466548322839536377716486559750181443705435431
  ( 113 digits)
SNFS difficulty: 124 digits.
Divisors found:
 r1=372476489841882736225009191178393031 (pp36)
 r2=58763499863918060142313076446861293120353977482610155737326917144762021930401 (pp77)
Version: Msieve-1.40
Total time: 1.43 hours.
Scaled time: 4.78 units (timescale=3.333).
Factorization parameters were as follows:
name: 84447_123
n: 21888022160136152881092906781330383354933688519026208328839977300115466548322839536377716486559750181443705435431
m: 2000000000000000000000000
deg: 5
c5: 2375
c0: 23
skew: 0.40
type: snfs
lss: 1
rlim: 840000
alim: 840000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 840000/840000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [420000, 720001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 94791 x 95027
Total sieving time: 1.40 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,124.000,5,0,0,0,0,0,0,0,0,840000,840000,25,25,46,46,2.2,2.2,50000
total time: 1.43 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 14, 2010 02:00:00 UTC 2010 年 1 月 14 日 (木) 11 時 0 分 0 秒 (日本時間)

76×10124+239

c91

name 名前Sinkiti Sibata
date 日付January 16, 2010 05:39:10 UTC 2010 年 1 月 16 日 (土) 14 時 39 分 10 秒 (日本時間)
composite number 合成数
5077753284309834832594273103500080100355148438545257698365837994828361021968939948628805669<91>
prime factors 素因数
3019044313754110196310168774529000059439<40>
1681907503370087577463229672949384326398986488494571<52>
factorization results 素因数分解の結果
Number: 84447_124
N=5077753284309834832594273103500080100355148438545257698365837994828361021968939948628805669
  ( 91 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=3019044313754110196310168774529000059439 (pp40)
 r2=1681907503370087577463229672949384326398986488494571 (pp52)
Version: Msieve-1.40
Total time: 2.36 hours.
Scaled time: 4.83 units (timescale=2.051).
Factorization parameters were as follows:
name: 84447_124
n: 5077753284309834832594273103500080100355148438545257698365837994828361021968939948628805669
m: 2000000000000000000000000
deg: 5
c5: 23750
c0: 23
skew: 0.25
type: snfs
lss: 1
rlim: 880000
alim: 880000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 880000/880000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [440000, 740001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 135983 x 136231
Total sieving time: 2.14 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,125.000,5,0,0,0,0,0,0,0,0,880000,880000,26,26,46,46,2.3,2.3,50000
total time: 2.36 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 KamadaJanuary 14, 2010 02:00:00 UTC 2010 年 1 月 14 日 (木) 11 時 0 分 0 秒 (日本時間)

76×10126+239

c126

name 名前Dmitry Domanov
date 日付January 16, 2010 00:57:39 UTC 2010 年 1 月 16 日 (土) 9 時 57 分 39 秒 (日本時間)
composite number 合成数
767676767676767676767676767676767676767676767676767676767676767676767676767676767676767676767676767676767676767676767676767677<126>
prime factors 素因数
5994407217880419424562967000599119<34>
20115108656417902893343990292614777<35>
6366632359532211884184948525243882588810617140882874816779<58>
factorization results 素因数分解の結果
Number: nq3
N=767676767676767676767676767676767676767676767676767676767676767676767676767676767676767676767676767676767676767676767676767677
  ( 126 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=5994407217880419424562967000599119 (pp34)
 r2=20115108656417902893343990292614777 (pp35)
 r3=6366632359532211884184948525243882588810617140882874816779 (pp58)
Version: Msieve-1.40
Total time: 0.95 hours.
Scaled time: 1.78 units (timescale=1.866).
Factorization parameters were as follows:
n: 767676767676767676767676767676767676767676767676767676767676767676767676767676767676767676767676767676767676767676767676767677
m: 10000000000000000000000000
deg: 5
c5: 760
c0: 23
skew: 0.50
type: snfs
lss: 1
rlim: 950000
alim: 950000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3Factor base limits: 950000/950000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [475000, 475000)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 126811 x 127038
Total sieving time: 0.83 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,127.000,5,0,0,0,0,0,0,0,0,950000,950000,26,26,46,46,2.3,2.3,50000
total time: 0.95 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 14, 2010 02:00:00 UTC 2010 年 1 月 14 日 (木) 11 時 0 分 0 秒 (日本時間)

76×10129+239

c104

name 名前Dmitry Domanov
date 日付January 16, 2010 02:07:15 UTC 2010 年 1 月 16 日 (土) 11 時 7 分 15 秒 (日本時間)
composite number 合成数
32780883665947807424457375795000873029274725916368938707303440595646540159113222686663770012109799462173<104>
prime factors 素因数
764554192844238153445658278390577769037<39>
42875814393220159145561798565757221209136152807215991226764877329<65>
factorization results 素因数分解の結果
Number: qq2
N=32780883665947807424457375795000873029274725916368938707303440595646540159113222686663770012109799462173
  ( 104 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=764554192844238153445658278390577769037 (pp39)
 r2=42875814393220159145561798565757221209136152807215991226764877329 (pp65)
Version: Msieve-1.40
Total time: 2.27 hours.
Scaled time: 4.21 units (timescale=1.855).
Factorization parameters were as follows:
n: 32780883665947807424457375795000873029274725916368938707303440595646540159113222686663770012109799462173
m: 20000000000000000000000000
deg: 5
c5: 23750
c0: 23
skew: 0.25
type: snfs
lss: 1
rlim: 1060000
alim: 1060000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1060000/1060000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [530000, 980001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 167728 x 167953
Total sieving time: 2.15 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,130.000,5,0,0,0,0,0,0,0,0,1060000,1060000,26,26,47,47,2.3,2.3,50000
total time: 2.27 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 14, 2010 02:00:00 UTC 2010 年 1 月 14 日 (木) 11 時 0 分 0 秒 (日本時間)

76×10131+239

c120

name 名前Sinkiti Sibata
date 日付January 14, 2010 12:04:19 UTC 2010 年 1 月 14 日 (木) 21 時 4 分 19 秒 (日本時間)
composite number 合成数
404998696397086610273095864030264788422966575269270640773660561978914441607916869788773167429565166454389575011939220517<120>
prime factors 素因数
2636922486416778219479282826737128219920514887391<49>
153587638045221867759741093584543668200465409799681394923325418158942587<72>
factorization results 素因数分解の結果
Number: 84447_131
N=404998696397086610273095864030264788422966575269270640773660561978914441607916869788773167429565166454389575011939220517
  ( 120 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=2636922486416778219479282826737128219920514887391 (pp49)
 r2=153587638045221867759741093584543668200465409799681394923325418158942587 (pp72)
Version: Msieve v. 1.42
Total time: 0.14 hours.
Scaled time: 0.11 units (timescale=0.795).
Factorization parameters were as follows:
name: 84447_131
n: 404998696397086610273095864030264788422966575269270640773660561978914441607916869788773167429565166454389575011939220517
m: 100000000000000000000000000
deg: 5
c5: 760
c0: 23
skew: 0.50
type: snfs
lss: 1
rlim: 1150000
alim: 1150000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1150000/1150000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [575000, 1025001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 165155 x 165381
Total sieving time: 0.00 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,132.000,5,0,0,0,0,0,0,0,0,1150000,1150000,26,26,47,47,2.3,2.3,50000
total time: 0.14 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.24 BogoMIPS (lpj=1860624)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860570)
Total of 2 processors activated (7442.38 BogoMIPS).

Total time: 2 hours 36 min.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 14, 2010 02:00:00 UTC 2010 年 1 月 14 日 (木) 11 時 0 分 0 秒 (日本時間)

76×10132+239

c113

name 名前Sinkiti Sibata
date 日付January 14, 2010 14:42:42 UTC 2010 年 1 月 14 日 (木) 23 時 42 分 42 秒 (日本時間)
composite number 合成数
69215421029856228777257861622850799765271782090190585785469999099589554670792089592217638797440231531128768622137<113>
prime factors 素因数
380112178679746309265792899072797960147136364952237853<54>
182092089946352107376391987457742168819288467508386319514829<60>
factorization results 素因数分解の結果
Number: 84447_132
N=69215421029856228777257861622850799765271782090190585785469999099589554670792089592217638797440231531128768622137
  ( 113 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=380112178679746309265792899072797960147136364952237853 (pp54)
 r2=182092089946352107376391987457742168819288467508386319514829 (pp60)
Version: Msieve v. 1.42
Total time: 0.14 hours.
Scaled time: 0.11 units (timescale=0.796).
Factorization parameters were as follows:
name: 84447_132
n: 69215421029856228777257861622850799765271782090190585785469999099589554670792089592217638797440231531128768622137
m: 100000000000000000000000000
deg: 5
c5: 7600
c0: 23
skew: 0.31
type: snfs
lss: 1
rlim: 1190000
alim: 1190000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1190000/1190000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [595000, 1045001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 173568 x 173794
Total sieving time: 0.00 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,133.000,5,0,0,0,0,0,0,0,0,1190000,1190000,26,26,47,47,2.3,2.3,75000
total time: 0.14 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.24 BogoMIPS (lpj=1860624)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860570)
Total of 2 processors activated (7442.38 BogoMIPS).

Total time: 2 hours 37 min.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 14, 2010 02:00:00 UTC 2010 年 1 月 14 日 (木) 11 時 0 分 0 秒 (日本時間)

76×10133+239

c91

name 名前Sinkiti Sibata
date 日付January 15, 2010 09:21:33 UTC 2010 年 1 月 15 日 (金) 18 時 21 分 33 秒 (日本時間)
composite number 合成数
1399301543149656670886725140927231371472861103928431482376265434358912403610156523988896239<91>
prime factors 素因数
1913405169614932300932770566402500359128411<43>
731314812654793016520117508492017560941269233149<48>
factorization results 素因数分解の結果
Number: 84447_133
N=1399301543149656670886725140927231371472861103928431482376265434358912403610156523988896239
  ( 91 digits)
Divisors found:
 r1=1913405169614932300932770566402500359128411 (pp43)
 r2=731314812654793016520117508492017560941269233149 (pp48)
Version: Msieve-1.40
Total time: 2.59 hours.
Scaled time: 5.33 units (timescale=2.058).
Factorization parameters were as follows:
name: 84447_133
n:  1399301543149656670886725140927231371472861103928431482376265434358912403610156523988896239
m:  477362665506175263080
deg: 4
c4: 26947440
c3: 167833881791
c2: 26723086829564567
c1: -679371207578561065
c0: -25128527168791779704361
skew: 1635.250
type: gnfs
# adj. I(F,S) = 50.996
# E(F1,F2) = 2.151955e-04
# GGNFS version 0.77.1-20060722-pentium4 polyselect.
# Options were: 
# lcd=1, enumLCD=24, maxS1=58.00000000, seed=1263537524.
# maxskew=2000.0
# These parameters should be manually set:
rlim: 700000
alim: 700000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.4
alambda: 2.4
qintsize: 40000

type: gnfs
Factor base limits: 700000/700000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [350000, 670001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 105202 x 105435
Polynomial selection time: 0.17 hours.
Total sieving time: 2.34 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,90,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,700000,700000,25,25,44,44,2.4,2.4,40000
total time: 2.59 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 14, 2010 02:00:00 UTC 2010 年 1 月 14 日 (木) 11 時 0 分 0 秒 (日本時間)

76×10135+239

c131

name 名前Sinkiti Sibata
date 日付January 15, 2010 04:55:08 UTC 2010 年 1 月 15 日 (金) 13 時 55 分 8 秒 (日本時間)
composite number 合成数
11739041720399813225667785428234835822550791821533202257664860553313553048034459648048083114886757634972335249114049887529168043301<131>
prime factors 素因数
77428264666634018889165287259936841<35>
151611840597771927532710506493773049586203378135721037891185124543029684709228081827490136856061<96>
factorization results 素因数分解の結果
Number: 84447_135
N=11739041720399813225667785428234835822550791821533202257664860553313553048034459648048083114886757634972335249114049887529168043301
  ( 131 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=77428264666634018889165287259936841 (pp35)
 r2=151611840597771927532710506493773049586203378135721037891185124543029684709228081827490136856061 (pp96)
Version: Msieve v. 1.42
Total time: 0.16 hours.
Scaled time: 0.13 units (timescale=0.796).
Factorization parameters were as follows:
name: 84447_135
n: 11739041720399813225667785428234835822550791821533202257664860553313553048034459648048083114886757634972335249114049887529168043301
m: 1000000000000000000000000000
deg: 5
c5: 76
c0: 23
skew: 0.79
type: snfs
lss: 1
rlim: 1340000
alim: 1340000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1340000/1340000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [670000, 1045001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 198920 x 199168
Total sieving time: 0.00 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,136.000,5,0,0,0,0,0,0,0,0,1340000,1340000,26,26,48,48,2.3,2.3,75000
total time: 0.16 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.24 BogoMIPS (lpj=1860624)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860570)
Total of 2 processors activated (7442.38 BogoMIPS).

Total time: 2 hours 20 min.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 14, 2010 02:00:00 UTC 2010 年 1 月 14 日 (木) 11 時 0 分 0 秒 (日本時間)

76×10139+239

c137

name 名前Sinkiti Sibata
date 日付January 15, 2010 11:01:27 UTC 2010 年 1 月 15 日 (金) 20 時 1 分 27 秒 (日本時間)
composite number 合成数
14501879519911462209246856335985650771843456026866639952678077356078386475089205640467876428721354017593069628103115995954738870761539489<137>
prime factors 素因数
5402191520825011436867079302240475557219<40>
2684443797301130370669741118283892061366498603156149902982600677010000130183487429107663045900331<97>
factorization results 素因数分解の結果
Number: 84447_139
N=14501879519911462209246856335985650771843456026866639952678077356078386475089205640467876428721354017593069628103115995954738870761539489
  ( 137 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=5402191520825011436867079302240475557219 (pp40)
 r2=2684443797301130370669741118283892061366498603156149902982600677010000130183487429107663045900331 (pp97)
Version: Msieve v. 1.42
Total time: 0.24 hours.
Scaled time: 0.19 units (timescale=0.796).
Factorization parameters were as follows:
name: 84447_139
n: 14501879519911462209246856335985650771843456026866639952678077356078386475089205640467876428721354017593069628103115995954738870761539489
m: 2000000000000000000000000000
deg: 5
c5: 23750
c0: 23
skew: 0.25
type: snfs
lss: 1
rlim: 1560000
alim: 1560000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1560000/1560000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [780000, 1780001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 241025 x 241253
Total sieving time: 0.00 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.16 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,140.000,5,0,0,0,0,0,0,0,0,1560000,1560000,26,26,48,48,2.3,2.3,100000
total time: 0.24 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.24 BogoMIPS (lpj=1860624)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860570)
Total of 2 processors activated (7442.38 BogoMIPS).

Total time: 5 hours 43 min.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 14, 2010 02:00:00 UTC 2010 年 1 月 14 日 (木) 11 時 0 分 0 秒 (日本時間)

76×10142+239

c118

name 名前Sinkiti Sibata
date 日付January 15, 2010 23:11:30 UTC 2010 年 1 月 16 日 (土) 8 時 11 分 30 秒 (日本時間)
composite number 合成数
3870855382911255845963294818656917099890379322992139509057273523067443093386671515697120676162151377599356423730941653<118>
prime factors 素因数
18750552753403772656635768017188912490973460973010560209717<59>
206439534546979293878345623555405909311097585697403570872609<60>
factorization results 素因数分解の結果
Number: 84447_142
N=3870855382911255845963294818656917099890379322992139509057273523067443093386671515697120676162151377599356423730941653
  ( 118 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=18750552753403772656635768017188912490973460973010560209717 (pp59)
 r2=206439534546979293878345623555405909311097585697403570872609 (pp60)
Version: Msieve v. 1.42
Total time: 0.39 hours.
Scaled time: 0.31 units (timescale=0.796).
Factorization parameters were as follows:
name: 84447_142
n: 3870855382911255845963294818656917099890379322992139509057273523067443093386671515697120676162151377599356423730941653
m: 10000000000000000000000000000
deg: 5
c5: 7600
c0: 23
skew: 0.31
type: snfs
lss: 1
rlim: 1750000
alim: 1750000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1750000/1750000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [875000, 1875001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 255745 x 255970
Total sieving time: 0.00 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.21 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,143.000,5,0,0,0,0,0,0,0,0,1750000,1750000,26,26,48,48,2.3,2.3,100000
total time: 0.39 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.24 BogoMIPS (lpj=1860624)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860570)
Total of 2 processors activated (7442.38 BogoMIPS).

Total time: 6 hours 18 min.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 14, 2010 02:00:00 UTC 2010 年 1 月 14 日 (木) 11 時 0 分 0 秒 (日本時間)

76×10146+239

c88

name 名前Sinkiti Sibata
date 日付January 14, 2010 12:57:54 UTC 2010 年 1 月 14 日 (木) 21 時 57 分 54 秒 (日本時間)
composite number 合成数
1792835489707055068858019658297022881603186912311210653691706201876331160676477430144057<88>
prime factors 素因数
42910072123126938375353534217404513413<38>
41781227599959758466757040898905799816169366993189<50>
factorization results 素因数分解の結果
Thu Jan 14 20:59:04 2010  Msieve v. 1.42
Thu Jan 14 20:59:04 2010  random seeds: d8aad570 d636f14a
Thu Jan 14 20:59:04 2010  factoring 1792835489707055068858019658297022881603186912311210653691706201876331160676477430144057 (88 digits)
Thu Jan 14 20:59:05 2010  searching for 15-digit factors
Thu Jan 14 20:59:05 2010  commencing quadratic sieve (88-digit input)
Thu Jan 14 20:59:05 2010  using multiplier of 1
Thu Jan 14 20:59:05 2010  using 32kb Intel Core sieve core
Thu Jan 14 20:59:05 2010  sieve interval: 24 blocks of size 32768
Thu Jan 14 20:59:05 2010  processing polynomials in batches of 9
Thu Jan 14 20:59:05 2010  using a sieve bound of 1508383 (57315 primes)
Thu Jan 14 20:59:05 2010  using large prime bound of 120670640 (26 bits)
Thu Jan 14 20:59:05 2010  using double large prime bound of 352275850752880 (42-49 bits)
Thu Jan 14 20:59:05 2010  using trial factoring cutoff of 49 bits
Thu Jan 14 20:59:05 2010  polynomial 'A' values have 11 factors
Thu Jan 14 21:39:54 2010  57705 relations (16371 full + 41334 combined from 600729 partial), need 57411
Thu Jan 14 21:39:55 2010  begin with 617100 relations
Thu Jan 14 21:39:56 2010  reduce to 137358 relations in 9 passes
Thu Jan 14 21:39:56 2010  attempting to read 137358 relations
Thu Jan 14 21:39:57 2010  recovered 137358 relations
Thu Jan 14 21:39:58 2010  recovered 111288 polynomials
Thu Jan 14 21:39:58 2010  attempting to build 57705 cycles
Thu Jan 14 21:39:58 2010  found 57705 cycles in 5 passes
Thu Jan 14 21:39:58 2010  distribution of cycle lengths:
Thu Jan 14 21:39:58 2010     length 1 : 16371
Thu Jan 14 21:39:58 2010     length 2 : 11461
Thu Jan 14 21:39:58 2010     length 3 : 10329
Thu Jan 14 21:39:58 2010     length 4 : 7272
Thu Jan 14 21:39:58 2010     length 5 : 5183
Thu Jan 14 21:39:58 2010     length 6 : 3183
Thu Jan 14 21:39:58 2010     length 7 : 1791
Thu Jan 14 21:39:58 2010     length 9+: 2115
Thu Jan 14 21:39:58 2010  largest cycle: 19 relations
Thu Jan 14 21:39:58 2010  matrix is 57315 x 57705 (13.1 MB) with weight 3195769 (55.38/col)
Thu Jan 14 21:39:58 2010  sparse part has weight 3195769 (55.38/col)
Thu Jan 14 21:39:59 2010  filtering completed in 4 passes
Thu Jan 14 21:39:59 2010  matrix is 52496 x 52560 (12.0 MB) with weight 2927981 (55.71/col)
Thu Jan 14 21:39:59 2010  sparse part has weight 2927981 (55.71/col)
Thu Jan 14 21:39:59 2010  saving the first 48 matrix rows for later
Thu Jan 14 21:39:59 2010  matrix is 52448 x 52560 (7.5 MB) with weight 2271532 (43.22/col)
Thu Jan 14 21:39:59 2010  sparse part has weight 1658634 (31.56/col)
Thu Jan 14 21:39:59 2010  matrix includes 64 packed rows
Thu Jan 14 21:39:59 2010  using block size 21024 for processor cache size 1024 kB
Thu Jan 14 21:39:59 2010  commencing Lanczos iteration
Thu Jan 14 21:39:59 2010  memory use: 7.9 MB
Thu Jan 14 21:40:16 2010  lanczos halted after 831 iterations (dim = 52446)
Thu Jan 14 21:40:16 2010  recovered 16 nontrivial dependencies
Thu Jan 14 21:40:17 2010  prp38 factor: 42910072123126938375353534217404513413
Thu Jan 14 21:40:17 2010  prp50 factor: 41781227599959758466757040898905799816169366993189
Thu Jan 14 21:40:17 2010  elapsed time 00:41:13

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 14, 2010 02:00:00 UTC 2010 年 1 月 14 日 (木) 11 時 0 分 0 秒 (日本時間)

76×10147+239

c120

name 名前Serge Batalov
date 日付January 14, 2010 09:25:56 UTC 2010 年 1 月 14 日 (木) 18 時 25 分 56 秒 (日本時間)
composite number 合成数
705918526777065015107480091329944988262866443515532943154624651041092561534273069443469722570186688645487380878361927763<120>
prime factors 素因数
120759800762353604989446890431<30>
composite cofactor 合成数の残り
5845641697987401380013490433361614223454259968029929759892320174369518255387635138325387373<91>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=3666526774
Step 1 took 5192ms
Step 2 took 3112ms
********** Factor found in step 2: 120759800762353604989446890431
Found probable prime factor of 30 digits: 120759800762353604989446890431
Composite cofactor has 91 digits

c91

name 名前Sinkiti Sibata
date 日付January 15, 2010 12:37:53 UTC 2010 年 1 月 15 日 (金) 21 時 37 分 53 秒 (日本時間)
composite number 合成数
5845641697987401380013490433361614223454259968029929759892320174369518255387635138325387373<91>
prime factors 素因数
4203065797411848076795784411940638986969<40>
1390804231898300052214656634217940972893373032648117<52>
factorization results 素因数分解の結果
Number: 84447_147
N=5845641697987401380013490433361614223454259968029929759892320174369518255387635138325387373
  ( 91 digits)
Divisors found:
 r1=4203065797411848076795784411940638986969 (pp40)
 r2=1390804231898300052214656634217940972893373032648117 (pp52)
Version: Msieve-1.40
Total time: 2.89 hours.
Scaled time: 5.90 units (timescale=2.038).
Factorization parameters were as follows:
name: 84447_147
n:  5845641697987401380013490433361614223454259968029929759892320174369518255387635138325387373
m:  662488004872972126855
deg: 4
c4: 30347304
c3: -56510685041
c2: -58747931349717403
c1: 238413509707088094
c0: 77961818024807214272453
skew: 1635.250
type: gnfs
# adj. I(F,S) = 50.507
# E(F1,F2) = 1.725879e-04
# GGNFS version 0.77.1-20060722-pentium4 polyselect.
# Options were: 
# lcd=1, enumLCD=24, maxS1=58.00000000, seed=1263548185.
# maxskew=2000.0
# These parameters should be manually set:
rlim: 700000
alim: 700000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.4
alambda: 2.4
qintsize: 40000

type: gnfs
Factor base limits: 700000/700000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [350000, 710001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 100108 x 100343
Polynomial selection time: 0.17 hours.
Total sieving time: 2.64 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,90,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,700000,700000,25,25,44,44,2.4,2.4,40000
total time: 2.89 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 KamadaJanuary 14, 2010 02:00:00 UTC 2010 年 1 月 14 日 (木) 11 時 0 分 0 秒 (日本時間)

76×10151+239

c137

name 名前Robert Backstrom
date 日付June 3, 2010 00:56:28 UTC 2010 年 6 月 3 日 (木) 9 時 56 分 28 秒 (日本時間)
composite number 合成数
11078294806839479584415109513578199508011876694197634771012585922108314682904167197294687324505824115763917641221222139054309915506374059<137>
prime factors 素因数
21592204583321335546216470576726618930746753633<47>
513069184950053148429931436613956897698323818699150472549189463823411623210781495692528523<90>
factorization results 素因数分解の結果
Number: n
N=11078294806839479584415109513578199508011876694197634771012585922108314682904167197294687324505824115763917641221222139054309915506374059
  ( 137 digits)
SNFS difficulty: 152 digits.
Divisors found:

Thu Jun  3 10:48:45 2010  prp47 factor: 21592204583321335546216470576726618930746753633
Thu Jun  3 10:48:45 2010  prp90 factor: 513069184950053148429931436613956897698323818699150472549189463823411623210781495692528523
Thu Jun  3 10:48:45 2010  elapsed time 00:20:28 (Msieve 1.42 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=0.872).
Factorization parameters were as follows:
name: KA_8_4_150_7
n: 11078294806839479584415109513578199508011876694197634771012585922108314682904167197294687324505824115763917641221222139054309915506374059
m: 1000000000000000000000000000000
deg: 5
c5: 760
c0: 23
skew: 0.50
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 3450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1723527 hash collisions in 14787632 relations
Msieve: matrix is 300014 x 300239 (82.9 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,152,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2034788k/2097088k available (3786k kernel code, 388k absent, 61912k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6026.89 BogoMIPS (lpj=3013446)
Calibrating delay using timer specific routine.. 6026.96 BogoMIPS (lpj=3013483)
Total of 2 processors activated (12053.85 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJune 2, 2010 07:00:00 UTC 2010 年 6 月 2 日 (水) 16 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 2, 2010 16:03:59 UTC 2010 年 6 月 3 日 (木) 1 時 3 分 59 秒 (日本時間)
403e6110 / 2126Ignacio SantosJune 2, 2010 16:03:59 UTC 2010 年 6 月 3 日 (木) 1 時 3 分 59 秒 (日本時間)
4511e632 / 4437Ignacio SantosJune 2, 2010 16:03:59 UTC 2010 年 6 月 3 日 (木) 1 時 3 分 59 秒 (日本時間)

76×10153+239

c114

name 名前Ignacio Santos
date 日付June 2, 2010 16:17:26 UTC 2010 年 6 月 3 日 (木) 1 時 17 分 26 秒 (日本時間)
composite number 合成数
603062937845810925975436796921675473980884481255286807254773841755879470985366707326985644146534064563442554911037<114>
prime factors 素因数
28818083062270546349079887713<29>
20926545896293777758018379911947723802406803102390010185075453369194097371051539878749<86>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4277928062
Step 1 took 58297ms
Step 2 took 45880ms
********** Factor found in step 2: 28818083062270546349079887713
Found probable prime factor of 29 digits: 28818083062270546349079887713
Probable prime cofactor 20926545896293777758018379911947723802406803102390010185075453369194097371051539878749 has 86 digits
software ソフトウェア
GMP-ECM 6.2.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 2, 2010 07:00:00 UTC 2010 年 6 月 2 日 (水) 16 時 0 分 0 秒 (日本時間)

76×10157+239

c141

name 名前Dmitry Domanov
date 日付June 4, 2010 06:29:23 UTC 2010 年 6 月 4 日 (金) 15 時 29 分 23 秒 (日本時間)
composite number 合成数
158484141919289346874760269812009030316721433899930867631366179095095523153277753609653593688134166790681477207263146741294835188752276475427<141>
prime factors 素因数
48586821996047159575244386173916398548168681014617227<53>
3261875039536091049370132637976081968445096641421715331658583245528503579912841830086601<88>
factorization results 素因数分解の結果
N=158484141919289346874760269812009030316721433899930867631366179095095523153277753609653593688134166790681477207263146741294835188752276475427
  ( 141 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=48586821996047159575244386173916398548168681014617227 (pp53)
 r2=3261875039536091049370132637976081968445096641421715331658583245528503579912841830086601 (pp88)
Version: Msieve-1.40
Total time: 20.60 hours.
Scaled time: 40.22 units (timescale=1.952).
Factorization parameters were as follows:
n: 158484141919289346874760269812009030316721433899930867631366179095095523153277753609653593688134166790681477207263146741294835188752276475427
m: 10000000000000000000000000000000
deg: 5
c5: 7600
c0: 23
skew: 0.31
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1550000, 2750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 498245 x 498472
Total sieving time: 20.17 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.30 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,158.000,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000
total time: 20.60 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 2, 2010 07:00:00 UTC 2010 年 6 月 2 日 (水) 16 時 0 分 0 秒 (日本時間)

76×10158+239

c147

name 名前Dmitry Domanov
date 日付June 4, 2010 09:01:08 UTC 2010 年 6 月 4 日 (金) 18 時 1 分 8 秒 (日本時間)
composite number 合成数
646354967287645341646462069273641467992821787154097059121346296043479119267303049158949602082475622376981556147067717706116666500451167157174477297<147>
prime factors 素因数
39977321823602788398836017478782445711345495703843173955617071819468877<71>
16168040724179639707877744488267444695350057341896588800036639677782326225461<77>
factorization results 素因数分解の結果
N=646354967287645341646462069273641467992821787154097059121346296043479119267303049158949602082475622376981556147067717706116666500451167157174477297
  ( 147 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=39977321823602788398836017478782445711345495703843173955617071819468877 (pp71)
 r2=16168040724179639707877744488267444695350057341896588800036639677782326225461 (pp77)
Version: Msieve-1.40
Total time: 21.23 hours.
Scaled time: 40.91 units (timescale=1.927).
Factorization parameters were as follows:
n: 646354967287645341646462069273641467992821787154097059121346296043479119267303049158949602082475622376981556147067717706116666500451167157174477297
m: 20000000000000000000000000000000
deg: 5
c5: 2375
c0: 23
skew: 0.40
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1600000, 2800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 481526 x 481752
Total sieving time: 20.66 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.29 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
snfs,159.000,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,50,50,2.4,2.4,100000
total time: 21.23 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 2, 2010 07:00:00 UTC 2010 年 6 月 2 日 (水) 16 時 0 分 0 秒 (日本時間)

76×10161+239

c134

name 名前Dmitry Domanov
date 日付June 4, 2010 14:27:22 UTC 2010 年 6 月 4 日 (金) 23 時 27 分 22 秒 (日本時間)
composite number 合成数
15364013817466096890217771253923290277179162506427682591620505607763603891515778693537036057265048414112574229755678656497602528206227<134>
prime factors 素因数
88471634982342132379049754152271541603233580635822800873065259<62>
173660335547461828939011384486118570794618053699013521733912959971402553<72>
factorization results 素因数分解の結果
Number: 847-3
N=15364013817466096890217771253923290277179162506427682591620505607763603891515778693537036057265048414112574229755678656497602528206227
  ( 134 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=88471634982342132379049754152271541603233580635822800873065259 (pp62)
 r2=173660335547461828939011384486118570794618053699013521733912959971402553 (pp72)
Version: Msieve-1.40
Total time: 26.87 hours.
Scaled time: 51.48 units (timescale=1.916).
Factorization parameters were as follows:
n: 15364013817466096890217771253923290277179162506427682591620505607763603891515778693537036057265048414112574229755678656497602528206227
m: 100000000000000000000000000000000
deg: 5
c5: 760
c0: 23
skew: 0.50
type: snfs
lss: 1
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1800000, 3300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 750120 x 750368
Total sieving time: 26.00 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.70 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,162.000,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000
total time: 26.87 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 2, 2010 07:00:00 UTC 2010 年 6 月 2 日 (水) 16 時 0 分 0 秒 (日本時間)

76×10163+239

c149

name 名前Dmitry Domanov
date 日付June 4, 2010 20:30:33 UTC 2010 年 6 月 5 日 (土) 5 時 30 分 33 秒 (日本時間)
composite number 合成数
24366945548904208821903097370532023616235351559364024868933970247711566960837788815499005360135600192035264920407446453163442004306724874067803839473<149>
prime factors 素因数
5196308698329019447358405672403768780869213<43>
548469770130452713388019674728373757489904241<45>
8549750745452687908272099845480408278610613394767287375838581<61>
factorization results 素因数分解の結果
Number: 847-4
N=24366945548904208821903097370532023616235351559364024868933970247711566960837788815499005360135600192035264920407446453163442004306724874067803839473
  ( 149 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=5196308698329019447358405672403768780869213 (pp43)
 r2=548469770130452713388019674728373757489904241 (pp45)
 r3=8549750745452687908272099845480408278610613394767287375838581 (pp61)
Version: Msieve-1.40
Total time: 30.33 hours.
Scaled time: 58.10 units (timescale=1.916).
Factorization parameters were as follows:
n: 24366945548904208821903097370532023616235351559364024868933970247711566960837788815499005360135600192035264920407446453163442004306724874067803839473
m: 200000000000000000000000000000000
deg: 5
c5: 2375
c0: 23
skew: 0.40
type: snfs
lss: 1
rlim: 3900000
alim: 3900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3900000/3900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1950000, 3650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 683256 x 683483
Total sieving time: 29.51 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.58 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,164.000,5,0,0,0,0,0,0,0,0,3900000,3900000,27,27,51,51,2.4,2.4,100000
total time: 30.33 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 2, 2010 07:00:00 UTC 2010 年 6 月 2 日 (水) 16 時 0 分 0 秒 (日本時間)

76×10164+239

c132

name 名前Sinkiti Sibata
date 日付June 5, 2010 12:12:46 UTC 2010 年 6 月 5 日 (土) 21 時 12 分 46 秒 (日本時間)
composite number 合成数
478587140700554943395785379398182628333466096872477839637219542766682332601104375386905874871928831236698453001040021882397761265721<132>
prime factors 素因数
76449712546223380120631776941217<32>
6260156183205912834857751595547196716119459207966747240283859978449219924366302378513798311642434713<100>
factorization results 素因数分解の結果
Number: 84447_164
N=478587140700554943395785379398182628333466096872477839637219542766682332601104375386905874871928831236698453001040021882397761265721
  ( 132 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=76449712546223380120631776941217 (pp32)
 r2=6260156183205912834857751595547196716119459207966747240283859978449219924366302378513798311642434713 (pp100)
Version: Msieve-1.40
Total time: 59.70 hours.
Scaled time: 121.13 units (timescale=2.029).
Factorization parameters were as follows:
name: 84447_164
n: 478587140700554943395785379398182628333466096872477839637219542766682332601104375386905874871928831236698453001040021882397761265721
m: 200000000000000000000000000000000
deg: 5
c5: 23750
c0: 23
skew: 0.25
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2050000, 4350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 733356 x 733604
Total sieving time: 58.00 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 1.30 hours.
Time per square root: 0.27 hours.
Prototype def-par.txt line would be:
snfs,165.000,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
total time: 59.70 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 2, 2010 07:00:00 UTC 2010 年 6 月 2 日 (水) 16 時 0 分 0 秒 (日本時間)

76×10165+239

c155

name 名前Justin Card
date 日付June 7, 2010 01:58:26 UTC 2010 年 6 月 7 日 (月) 10 時 58 分 26 秒 (日本時間)
composite number 合成数
24959758687506239807093684649916573656344955168240443766479506302006565363671610848034663228406963873491402898632369841776490886649196747693410130710638983<155>
prime factors 素因数
8815530497865104008108394360795427229807584097873237<52>
2831339383778532092788666706757452373513303756294234198434189592211109902985919818198537280088968414059<103>
factorization results 素因数分解の結果
Info:--------------------------------------------------------------------------
Info:Duplicate and singleton removal
Info:--------------------------------------------------------------------------
Info:Removing duplicates...
    Info:split new files in 4 slices...
    Info:removing duplicates on slice 0...
    Info:removing duplicates on slice 1...
    Info:removing duplicates on slice 2...
    Info:removing duplicates on slice 3...
    Info:Number of relations left: 10935929.
Info:Removing singletons...
    Info:Nrows: 2272089; Ncols: 2271929; Excess: 160.
Info:Join all no duplicates files into one file...
    Info:clean directory nodup...
Info:Cleaning up...
    Info:Killing job:  84447_165 maralia          10900000 11000000
        Info:Truncating `84447_165.rels.10900000-11000000' to range 10900000-10932830...
        Info:Imported 49612 relations from `84447_165.rels.10900000-10932830.gz'.
Info:All done!
Info:--------------------------------------------------------------------------
Info:Merge
Info:--------------------------------------------------------------------------
Info:Merging relations...
    Info:Minimal bwcost: 35260869628752.
Info:Replaying merge history...
    Info:Nrows: 763926; Ncols: 763766; Weight: 73550624.
Info:--------------------------------------------------------------------------
Info:Linear algebra
Info:--------------------------------------------------------------------------
Warning:Parameter 'skip' currently unhandled by bwc code
Info:Calling Block-Wiedemann (new code)...
Info:Converting dependencies to CADO format...
    Info:Computed 64 vectors of the kernel.
Info:Adding characters...
    Info:61 vectors remaining after characters.
Info:--------------------------------------------------------------------------
Info:Square root
Info:--------------------------------------------------------------------------
Info:Testing dependency number 0...
Info:Testing dependency number 1...
Info:Testing dependency number 2...
    Info:Factorization was successful!
    Info:8815530497865104008108394360795427229807584097873237
    Info:2831339383778532092788666706757452373513303756294234198434189592211109902985919818198537280088968414059
Info:2 prime factors were found!
Info:--------------------------------------------------------------------------
Info:All done!
Info:--------------------------------------------------------------------------
2831339383778532092788666706757452373513303756294234198434189592211109902985919818198537280088968414059 8815530497865104008108394360795427229807584097873237
software ソフトウェア
cado-nfs
execution environment 実行環境
ubuntu linux 10.04, Athlon64x2 2600+, 1G RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 2, 2010 07:00:00 UTC 2010 年 6 月 2 日 (水) 16 時 0 分 0 秒 (日本時間)

76×10166+239

c126

name 名前Sinkiti Sibata
date 日付June 5, 2010 12:42:53 UTC 2010 年 6 月 5 日 (土) 21 時 42 分 53 秒 (日本時間)
composite number 合成数
114679198954809604504093828226679894373269823674853120041936573425598190696773331388687854145544979630370848622707088092105667<126>
prime factors 素因数
327454607771981754897073802475159003461567<42>
350214033435329741392539009976755353996048058312881405023815104052756440567317122301<84>
factorization results 素因数分解の結果
Number: 84447_166
N=114679198954809604504093828226679894373269823674853120041936573425598190696773331388687854145544979630370848622707088092105667
  ( 126 digits)
SNFS difficulty: 167 digits.
Divisors found:
 r1=327454607771981754897073802475159003461567 (pp42)
 r2=350214033435329741392539009976755353996048058312881405023815104052756440567317122301 (pp84)
Version: Msieve-1.40
Total time: 61.48 hours.
Scaled time: 158.94 units (timescale=2.585).
Factorization parameters were as follows:
name: 84447_166
n: 114679198954809604504093828226679894373269823674853120041936573425598190696773331388687854145544979630370848622707088092105667
m: 1000000000000000000000000000000000
deg: 5
c5: 760
c0: 23
skew: 0.50
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2200000, 4500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 761997 x 762245
Total sieving time: 59.76 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 1.33 hours.
Time per square root: 0.27 hours.
Prototype def-par.txt line would be:
snfs,167.000,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,51,51,2.4,2.4,100000
total time: 61.48 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 2, 2010 07:00:00 UTC 2010 年 6 月 2 日 (水) 16 時 0 分 0 秒 (日本時間)

76×10167+239

c165

name 名前Sinkiti Sibata
date 日付June 5, 2010 21:54:39 UTC 2010 年 6 月 6 日 (日) 6 時 54 分 39 秒 (日本時間)
composite number 合成数
162486904838261390118230603125734932546554636221751865392427255040301028371068778996429564064738203664507301220789771876937549440916768220982190580035490560793620251<165>
prime factors 素因数
20156815459963064996439404923401661359377032316037875324121938435822889645760883<80>
8061139675610203177444366016974144500588488287226041531458180524915573997175284986297<85>
factorization results 素因数分解の結果
Number: 84447_167
N=162486904838261390118230603125734932546554636221751865392427255040301028371068778996429564064738203664507301220789771876937549440916768220982190580035490560793620251
  ( 165 digits)
SNFS difficulty: 168 digits.
Divisors found:
 r1=20156815459963064996439404923401661359377032316037875324121938435822889645760883 (pp80)
 r2=8061139675610203177444366016974144500588488287226041531458180524915573997175284986297 (pp85)
Version: Msieve-1.40
Total time: 65.09 hours.
Scaled time: 183.82 units (timescale=2.824).
Factorization parameters were as follows:
name: 84447_167
n: 162486904838261390118230603125734932546554636221751865392427255040301028371068778996429564064738203664507301220789771876937549440916768220982190580035490560793620251
m: 1000000000000000000000000000000000
deg: 5
c5: 7600
c0: 23
skew: 0.31
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
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: 52/52
Sieved rational special-q in [2300000, 4700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 863113 x 863361
Total sieving time: 63.05 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 1.79 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,168.000,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000
total time: 65.09 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 2, 2010 07:00:00 UTC 2010 年 6 月 2 日 (水) 16 時 0 分 0 秒 (日本時間)

76×10168+239

c134

name 名前Sinkiti Sibata
date 日付June 6, 2010 07:20:18 UTC 2010 年 6 月 6 日 (日) 16 時 20 分 18 秒 (日本時間)
composite number 合成数
36892816579867464957789864041025220732764059652902959875421462490151010987259493682091747708910386135023370288591251006366283289104707<134>
prime factors 素因数
9473878061473260700942854888219407934557449844484172397349608279<64>
3894162067579994693379226797027685335499234170904407375083215909548533<70>
factorization results 素因数分解の結果
Number: 84447_168
N=36892816579867464957789864041025220732764059652902959875421462490151010987259493682091747708910386135023370288591251006366283289104707
  ( 134 digits)
SNFS difficulty: 169 digits.
Divisors found:
 r1=9473878061473260700942854888219407934557449844484172397349608279 (pp64)
 r2=3894162067579994693379226797027685335499234170904407375083215909548533 (pp70)
Version: Msieve-1.40
Total time: 63.11 hours.
Scaled time: 196.40 units (timescale=3.112).
Factorization parameters were as follows:
name: 84447_168
n: 36892816579867464957789864041025220732764059652902959875421462490151010987259493682091747708910386135023370288591251006366283289104707
m: 2000000000000000000000000000000000
deg: 5
c5: 2375
c0: 23
skew: 0.40
type: snfs
lss: 1
rlim: 4700000
alim: 4700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4700000/4700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2350000, 4750001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 849247 x 849495
Total sieving time: 61.39 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.43 hours.
Time per square root: 0.18 hours.
Prototype def-par.txt line would be:
snfs,169.000,5,0,0,0,0,0,0,0,0,4700000,4700000,27,27,52,52,2.4,2.4,100000
total time: 63.11 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 2, 2010 07:00:00 UTC 2010 年 6 月 2 日 (水) 16 時 0 分 0 秒 (日本時間)

76×10169+239

c164

name 名前Robert Backstrom
date 日付June 4, 2010 00:47:48 UTC 2010 年 6 月 4 日 (金) 9 時 47 分 48 秒 (日本時間)
composite number 合成数
65463397734673575811481263557275864739183056418854113181563336569464718717131021803532112079194173137422056565371533637720905589635283599928713805308926511392655403<164>
prime factors 素因数
70625674486716913307479097885609758221134489407215918997137726524440682580617<77>
926906513961657886783032439490898191458821144454051878746943887632436562564291724247059<87>
factorization results 素因数分解の結果
Number: n
N=65463397734673575811481263557275864739183056418854113181563336569464718717131021803532112079194173137422056565371533637720905589635283599928713805308926511392655403
  ( 164 digits)
SNFS difficulty: 170 digits.
Divisors found:

Fri Jun  4 06:59:40 2010  prp77 factor: 70625674486716913307479097885609758221134489407215918997137726524440682580617
Fri Jun  4 06:59:40 2010  prp87 factor: 926906513961657886783032439490898191458821144454051878746943887632436562564291724247059
Fri Jun  4 06:59:40 2010  elapsed time 02:19:19 (Msieve 1.42 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=0.880).
Factorization parameters were as follows:
name: KA_8_4_168_7
n: 65463397734673575811481263557275864739183056418854113181563336569464718717131021803532112079194173137422056565371533637720905589635283599928713805308926511392655403
m: 2000000000000000000000000000000000
deg: 5
c5: 23750
c0: 23
skew: 0.25
type: snfs
lss: 1
rlim: 4900000
alim: 4900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 7650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1238833 hash collisions in 11034429 relations
Msieve: matrix is 1011375 x 1011606 (288.1 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,4900000,4900000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2034788k/2097088k available (3786k kernel code, 388k absent, 61912k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6026.89 BogoMIPS (lpj=3013446)
Calibrating delay using timer specific routine.. 6026.96 BogoMIPS (lpj=3013483)
Total of 2 processors activated (12053.85 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 2, 2010 07:00:00 UTC 2010 年 6 月 2 日 (水) 16 時 0 分 0 秒 (日本時間)

76×10170+239

c141

name 名前Wataru Sakai
date 日付June 17, 2010 13:02:19 UTC 2010 年 6 月 17 日 (木) 22 時 2 分 19 秒 (日本時間)
composite number 合成数
975510895012578326359567191332571779610654375681031169831217544605305983771437190874494484833926822580952377851768184787988135954529895509157<141>
prime factors 素因数
88159386672188665520888490391051848073188240091<47>
11065309456381680440681578102299011067342334395698993347735988537936952526387600866431381593727<95>
factorization results 素因数分解の結果
Number: 84447_170
N=975510895012578326359567191332571779610654375681031169831217544605305983771437190874494484833926822580952377851768184787988135954529895509157
  ( 141 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=88159386672188665520888490391051848073188240091
 r2=11065309456381680440681578102299011067342334395698993347735988537936952526387600866431381593727
Version: 
Total time: 51.91 hours.
Scaled time: 104.50 units (timescale=2.013).
Factorization parameters were as follows:
n: 975510895012578326359567191332571779610654375681031169831217544605305983771437190874494484833926822580952377851768184787988135954529895509157
m: 10000000000000000000000000000000000
deg: 5
c5: 76
c0: 23
skew: 0.79
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2550000, 4050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 815365 x 815613
Total sieving time: 51.91 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 51.91 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJune 2, 2010 07:00:00 UTC 2010 年 6 月 2 日 (水) 16 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 3, 2010 12:18:07 UTC 2010 年 6 月 3 日 (木) 21 時 18 分 7 秒 (日本時間)
403e6110 / 2126Ignacio SantosJune 3, 2010 12:18:07 UTC 2010 年 6 月 3 日 (木) 21 時 18 分 7 秒 (日本時間)
4511e632 / 4437Ignacio SantosJune 3, 2010 12:18:07 UTC 2010 年 6 月 3 日 (木) 21 時 18 分 7 秒 (日本時間)

76×10171+239

c166

name 名前Robert Backstrom
date 日付June 5, 2010 01:14:30 UTC 2010 年 6 月 5 日 (土) 10 時 14 分 30 秒 (日本時間)
composite number 合成数
1649043705451545378525723248328818967699942263942160052406608959250112129547484831889866793504165148081846465482032724968563477019067957459966697562368406041080673019<166>
prime factors 素因数
32846701024873340114405109150213225100707376890231988900901809763639333<71>
50204241339268689677797964197250077708944242833657358867833361935936009957465081138828465654943<95>
factorization results 素因数分解の結果
Number: n
N=1649043705451545378525723248328818967699942263942160052406608959250112129547484831889866793504165148081846465482032724968563477019067957459966697562368406041080673019
  ( 166 digits)
SNFS difficulty: 172 digits.
Divisors found:

Sat Jun  5 06:14:01 2010  prp71 factor: 32846701024873340114405109150213225100707376890231988900901809763639333
Sat Jun  5 06:14:01 2010  prp95 factor: 50204241339268689677797964197250077708944242833657358867833361935936009957465081138828465654943
Sat Jun  5 06:14:01 2010  elapsed time 01:55:32 (Msieve 1.42 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=0.883).
Factorization parameters were as follows:
name: KA_8_4_170_7
n: 1649043705451545378525723248328818967699942263942160052406608959250112129547484831889866793504165148081846465482032724968563477019067957459966697562368406041080673019
m: 10000000000000000000000000000000000
deg: 5
c5: 760
c0: 23
skew: 0.50
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 7550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1357103 hash collisions in 11537829 relations
Msieve: matrix is 921281 x 921508 (261.1 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2034788k/2097088k available (3786k kernel code, 388k absent, 61912k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6026.89 BogoMIPS (lpj=3013446)
Calibrating delay using timer specific routine.. 6026.96 BogoMIPS (lpj=3013483)
Total of 2 processors activated (12053.85 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJune 2, 2010 07:00:00 UTC 2010 年 6 月 2 日 (水) 16 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 3, 2010 13:20:29 UTC 2010 年 6 月 3 日 (木) 22 時 20 分 29 秒 (日本時間)
403e6110 / 2126Ignacio SantosJune 3, 2010 13:20:29 UTC 2010 年 6 月 3 日 (木) 22 時 20 分 29 秒 (日本時間)
4511e632 / 4437Ignacio SantosJune 3, 2010 13:20:29 UTC 2010 年 6 月 3 日 (木) 22 時 20 分 29 秒 (日本時間)

76×10172+239

c172

name 名前Ignacio Santos
date 日付June 4, 2010 13:31:37 UTC 2010 年 6 月 4 日 (金) 22 時 31 分 37 秒 (日本時間)
composite number 合成数
2558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922559<172>
prime factors 素因数
11280029396740463976228002297680016262444011672310021421<56>
226854245580423620897116886165777843695888523277901146627503797620565216749314639248219518220774218791915814512724379<117>
factorization results 素因数分解の結果
Number: 2
N=2558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922559
  ( 172 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=11280029396740463976228002297680016262444011672310021421 (pp56)
 r2=226854245580423620897116886165777843695888523277901146627503797620565216749314639248219518220774218791915814512724379 (pp117)
Version: Msieve-1.40
Total time: 75.06 hours.
Scaled time: 130.52 units (timescale=1.739).
Factorization parameters were as follows:
n: 2558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922559
m: 10000000000000000000000000000000000
deg: 5
c5: 7600
c0: 23
skew: 0.31
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2750000, 6650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 872065 x 872295
Total sieving time: 73.82 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.97 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,173.000,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.4,2.4,100000
total time: 75.06 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 2, 2010 07:00:00 UTC 2010 年 6 月 2 日 (水) 16 時 0 分 0 秒 (日本時間)

76×10173+239

c170

name 名前Wataru Sakai
date 日付June 3, 2010 14:01:37 UTC 2010 年 6 月 3 日 (木) 23 時 1 分 37 秒 (日本時間)
composite number 合成数
22706833860669672334411907941715142769217898960564802614871183533960161457539714551196441002566469774515164280955240647622803636678707264095416506075571928377865617371923<170>
prime factors 素因数
1426043204567478031940694226709371<34>
composite cofactor 合成数の残り
15922963475399543616301696690127141605975856743609558549582010639542147130290940242945985960374178385521369318637364134732144637954103113<137>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=682286198
Step 1 took 15934ms
Step 2 took 6510ms
********** Factor found in step 2: 1426043204567478031940694226709371
Found probable prime factor of 34 digits: 1426043204567478031940694226709371
Composite cofactor 15922963475399543616301696690127141605975856743609558549582010639542147130290940242945985960374178385521369318637364134732144637954103113 has 137 digits
software ソフトウェア
GMP-ECM 6.2.3

c137

name 名前Warut Roonguthai
date 日付April 3, 2012 21:44:40 UTC 2012 年 4 月 4 日 (水) 6 時 44 分 40 秒 (日本時間)
composite number 合成数
15922963475399543616301696690127141605975856743609558549582010639542147130290940242945985960374178385521369318637364134732144637954103113<137>
prime factors 素因数
523000997776370476828577870668779934659283387<45>
30445378771931194582236738257147453509180105136852423191594674768313915381360618439830839499<92>
factorization results 素因数分解の結果
N = 15922963475399543616301696690127141605975856743609558549582010639542147130290940242945985960374178385521369318637364134732144637954103113 (137 digits)
SNFS difficulty: 175 digits.
Divisors found:
r1=523000997776370476828577870668779934659283387 (pp45)
r2=30445378771931194582236738257147453509180105136852423191594674768313915381360618439830839499 (pp92)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 18.80 hours.
Factorization parameters were as follows:
name: (76*10^173+23)/9
n: 15922963475399543616301696690127141605975856743609558549582010639542147130290940242945985960374178385521369318637364134732144637954103113
Y0: 20000000000000000000000000000000000
Y1: -1
c0: 23
c1: 0
c2: 0
c3: 0
c4: 0
c5: 2375
skew: 0.40
type: snfs
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 19707002
Relations: 2429022 relations
Pruned matrix : 1346041 x 1346269
Polynomial selection time: 0.00 hours.
Total sieving time: 16.51 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.70 hours.
time per square root: 0.50 hours.
Prototype def-par.txt line would be: snfs,175,5,0,0,0,0,0,0,0,0,5800000,5800000,28,28,55,55,2.5,2.5,100000
total time: 18.80 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 2, 2010 07:00:00 UTC 2010 年 6 月 2 日 (水) 16 時 0 分 0 秒 (日本時間)
403e623182200Wataru SakaiJune 3, 2010 14:00:04 UTC 2010 年 6 月 3 日 (木) 23 時 0 分 4 秒 (日本時間)
118Wataru SakaiJune 3, 2010 14:01:16 UTC 2010 年 6 月 3 日 (木) 23 時 1 分 16 秒 (日本時間)
4511e6600 / 2910Rich DickersonFebruary 6, 2012 13:09:11 UTC 2012 年 2 月 6 日 (月) 22 時 9 分 11 秒 (日本時間)
5043e6300 / 7330Rich DickersonFebruary 7, 2012 00:21:22 UTC 2012 年 2 月 7 日 (火) 9 時 21 分 22 秒 (日本時間)

76×10174+239

c155

name 名前Robert Backstrom
date 日付January 9, 2012 23:27:58 UTC 2012 年 1 月 10 日 (火) 8 時 27 分 58 秒 (日本時間)
composite number 合成数
21710318516382958151093485448647658657514620653026078899793678497973105149461197139614789102604282307823132734978582247141345036842808644148282199329356447<155>
prime factors 素因数
7884823372429113284964463299236248834849<40>
2753431179231927663889551621499985681499233673061932491698022764771285209146698706512110113742760299725644378183103<115>
factorization results 素因数分解の結果
Number: n
N=21710318516382958151093485448647658657514620653026078899793678497973105149461197139614789102604282307823132734978582247141345036842808644148282199329356447
  ( 155 digits)
SNFS difficulty: 175 digits.
Divisors found:

Tue Jan 10 10:04:06 2012  prp40 factor: 7884823372429113284964463299236248834849
Tue Jan 10 10:04:06 2012  prp115 factor: 2753431179231927663889551621499985681499233673061932491698022764771285209146698706512110113742760299725644378183103
Tue Jan 10 10:04:06 2012  elapsed time 02:27:27 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.650).
Factorization parameters were as follows:
name: KA_84447_174
n: 21710318516382958151093485448647658657514620653026078899793678497973105149461197139614789102604282307823132734978582247141345036842808644148282199329356447
m: 20000000000000000000000000000000000
deg: 5
c5: 23750
c0: 23
skew: 0.25
type: snfs
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 17200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 6687269 hash collisions in 75000096 relations
Msieve: matrix is 1135109 x 1135350 (313.0 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.06 BogoMIPS (lpj=2797533)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44760.82 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJune 2, 2010 07:00:00 UTC 2010 年 6 月 2 日 (水) 16 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 13, 2010 10:16:28 UTC 2010 年 6 月 13 日 (日) 19 時 16 分 28 秒 (日本時間)
403e62126110Ignacio SantosJune 13, 2010 10:16:28 UTC 2010 年 6 月 13 日 (日) 19 時 16 分 28 秒 (日本時間)
2016Wataru SakaiJune 14, 2010 00:35:57 UTC 2010 年 6 月 14 日 (月) 9 時 35 分 57 秒 (日本時間)
4511e632 / 3991Ignacio SantosJune 13, 2010 10:16:28 UTC 2010 年 6 月 13 日 (日) 19 時 16 分 28 秒 (日本時間)

76×10175+239

c151

name 名前Rich Dickerson
date 日付January 16, 2011 20:13:41 UTC 2011 年 1 月 17 日 (月) 5 時 13 分 41 秒 (日本時間)
composite number 合成数
8931836342634460348336534481483921556743330442758518821841852502386712551831377694351663182075620101140866036690900370724040186154976422576010000582417<151>
prime factors 素因数
1444019601635893235056003268346313132069<40>
composite cofactor 合成数の残り
6185398267804543072620317374984073896865989956197623311876562359396159310335120272460552336563420923532499700093<112>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4215201661
Step 1 took 39860ms
********** Factor found in step 1: 1444019601635893235056003268346313132069
Found probable prime factor of 40 digits: 1444019601635893235056003268346313132069
Composite cofactor 6185398267804543072620317374984073896865989956197623311876562359396159310335120272460552336563420923532499700093 has 112 digits
software ソフトウェア
GMP-ECM 6.3 [config GMP 5.0.1] [ECM]
execution environment 実行環境
C2D 3GHz Mac OS X

c112

name 名前Nicolai Caraibendko
date 日付January 18, 2011 18:14:15 UTC 2011 年 1 月 19 日 (水) 3 時 14 分 15 秒 (日本時間)
composite number 合成数
6185398267804543072620317374984073896865989956197623311876562359396159310335120272460552336563420923532499700093<112>
prime factors 素因数
4777443433045807409784577746210343993689395663519700239<55>
1294708844697112254436097584968547945981383083772698308787<58>
factorization results 素因数分解の結果
n: 6185398267804543072620317374984073896865989956197623311876562359396159310335120272460552336563420923532499700093
skew: 10397.137
# lognorm: 35.39, alpha: -6.66 E=28.73
# Murphy's E(Bf=10000000,Bg=5000000,area=1.00e+16)=7.78e-10
c5: 277440
c4: -8836386852
c3: 112633090864701
c2: 2402693927600075535
c1: -510955910339237953573
c0: -57436618916778628118932675
Y1: 654916942093
Y0: -1860547201058944029868
m: 1415750286964964386741791602553085664464068493247041412019696727666368055456071185217569707755914899942776426195
type: gnfs
rlim: 2000000
alim: 4000000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.2
alambda: 2.2
...
Info:--------------------------------------------------------------------------
Info:Duplicate and singleton removal
Info:--------------------------------------------------------------------------
Info:Removing duplicates...
    Info:Number of relations left: 5238259.
Info:Removing singletons...
    Info:Not enough relations! Continuing sieving...
Info:Starting job: 6200000  6300000 
    Info:Imported   234609 relations from `c113.rels.6200000-6300000.gz'.
Info:Running total: 5873973 relations.
Info:Number of primes in alg factor base = 283846
Info:Number of primes in rat factor base = 148933
Info:Approx. number of large primes: 7500000
Info:--------------------------------------------------------------------------
Info:Duplicate and singleton removal
Info:--------------------------------------------------------------------------
Info:Removing duplicates...
    Info:Number of relations left: 5441217.
Info:Removing singletons...
    Info:Not enough relations! Continuing sieving...
Info:Starting job: 6300000  6400000 
    Info:Imported   226023 relations from `c113.rels.6300000-6400000.gz'.
Info:Running total: 6099996 relations.
Info:Number of primes in alg factor base = 283846
Info:Number of primes in rat factor base = 148933
Info:Approx. number of large primes: 7500000
Info:--------------------------------------------------------------------------
Info:Duplicate and singleton removal
Info:--------------------------------------------------------------------------
Info:Removing duplicates...
    Info:Number of relations left: 5635745.
Info:Removing singletons...
    Info:Nrows: 1304065; Ncols: 1303905; Excess: 160.
Info:All done!
Info:Duplicates has already been done
Info:Purge has already been done
Info:--------------------------------------------------------------------------
Info:Merge
Info:--------------------------------------------------------------------------
Info:Merging relations...
    Info:Minimal bwcost: 11229428087785.
Info:Replaying merge history...
    Info:Nrows: 429709; Ncols: 429549; Weight: 39683445.
Info:--------------------------------------------------------------------------
Info:Linear algebra
Info:--------------------------------------------------------------------------
Info:Calling Block-Wiedemann...
Info:Adding characters...
    Info:23 vectors remaining after characters.
Info:--------------------------------------------------------------------------
Info:Square root
Info:--------------------------------------------------------------------------
Info:Preparing 23 dependency files
Info:Testing dependency number 0...
Info:Testing dependency number 1...
Info:Testing dependency number 2...
    Info:Factorization was successful!
    Info:1294708844697112254436097584968547945981383083772698308787 [prime]
    Info:4777443433045807409784577746210343993689395663519700239 [prime]
    Info:Doing gcds with previously known composite factors
    Info:non-trivial factor: 1294708844697112254436097584968547945981383083772698308787 [prime]
    Info:non-trivial factor: 4777443433045807409784577746210343993689395663519700239 [prime]
    Info:Now: 2 prime factors, 0 composite factors
    Info:Factorization complete
Info:--------------------------------------------------------------------------
Info:All done!
Info:--------------------------------------------------------------------------
4777443433045807409784577746210343993689395663519700239 1294708844697112254436097584968547945981383083772698308787
OK

real   1107m44.403s
software ソフトウェア
CADO-NFS 1.0

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 2, 2010 07:00:00 UTC 2010 年 6 月 2 日 (水) 16 時 0 分 0 秒 (日本時間)
403e690 / 2001Rich DickersonJanuary 16, 2011 00:49:39 UTC 2011 年 1 月 16 日 (日) 9 時 49 分 39 秒 (日本時間)
4511e692 / 4455Rich DickersonJanuary 16, 2011 20:12:04 UTC 2011 年 1 月 17 日 (月) 5 時 12 分 4 秒 (日本時間)

76×10176+239

c145

name 名前Wataru Sakai
date 日付November 5, 2011 06:07:01 UTC 2011 年 11 月 5 日 (土) 15 時 7 分 1 秒 (日本時間)
composite number 合成数
2496890068830923474072841430459908634316685159658333502684039926570089012421817602798138875545089279989870245339986086104798383228913222266325933<145>
prime factors 素因数
1013531103888619505006197083827796749286121<43>
2463555444180345055192629068417870012062473942083676973167640897464234836684706707344709382065991387173<103>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3188838265
Step 1 took 42214ms
Step 2 took 16354ms
********** Factor found in step 2: 1013531103888619505006197083827796749286121
Found probable prime factor of 43 digits: 1013531103888619505006197083827796749286121
Probable prime cofactor 2463555444180345055192629068417870012062473942083676973167640897464234836684706707344709382065991387173 has 103 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJune 2, 2010 07:00:00 UTC 2010 年 6 月 2 日 (水) 16 時 0 分 0 秒 (日本時間)
300Ignacio SantosMarch 26, 2011 01:57:44 UTC 2011 年 3 月 26 日 (土) 10 時 57 分 44 秒 (日本時間)
403e6110Ignacio SantosMarch 26, 2011 01:57:44 UTC 2011 年 3 月 26 日 (土) 10 時 57 分 44 秒 (日本時間)
4511e61032 / 443732Ignacio SantosMarch 26, 2011 01:57:44 UTC 2011 年 3 月 26 日 (土) 10 時 57 分 44 秒 (日本時間)
1000Serge BatalovOctober 30, 2011 05:22:48 UTC 2011 年 10 月 30 日 (日) 14 時 22 分 48 秒 (日本時間)

76×10178+239

c160

name 名前Ben Meekins
date 日付October 26, 2013 00:34:16 UTC 2013 年 10 月 26 日 (土) 9 時 34 分 16 秒 (日本時間)
composite number 合成数
3536868855284259538732324516368771471078210869576522678956813617090128560870252205571636281202926028065278145613102576403595970811345567456035220102385576269421<160>
prime factors 素因数
426217114541661746695683731251279079171482019389<48>
8298279760745127726048274411529874841031430482941179780602399534716656800755123151742274432067759568300000994289<112>
factorization results 素因数分解の結果
Number: 84447_178
N = 3536868855284259538732324516368771471078210869576522678956813617090128560870252205571636281202926028065278145613102576403595970811345567456035220102385576269421 (160 digits)
SNFS difficulty: 180 digits.
Divisors found:
r1=426217114541661746695683731251279079171482019389 (pp48)
r2=8298279760745127726048274411529874841031430482941179780602399534716656800755123151742274432067759568300000994289 (pp112)
Version: Msieve v. 1.52 (SVN 945M)
Total time: 64.39 hours.
Factorization parameters were as follows:
n: 3536868855284259538732324516368771471078210869576522678956813617090128560870252205571636281202926028065278145613102576403595970811345567456035220102385576269421
m: 200000000000000000000000000000000000
deg: 5
c5: 2375
c0: 23
skew: 0.40
# Murphy_E = 1.122e-10
type: snfs
lss: 1
rlim: 7000000
alim: 7000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 200000
Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 18494006
Relations: 2316502 relations
Pruned matrix : 1359465 x 1359690
Polynomial selection time: 0.00 hours.
Total sieving time: 61.77 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 2.32 hours.
time per square root: 0.14 hours.
Prototype def-par.txt line would be: snfs,180,5,0,0,0,0,0,0,0,0,7000000,7000000,28,28,53,53,2.5,2.5,200000
total time: 64.39 hours.
x86 Family 16 Model 4 Stepping 3, AuthenticAMD
Windows-XP-5.1.2600-SP3
processors: 4, speed: 3.20GHz
software ソフトウェア
MSieve 1.52 SVN 946

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 2, 2010 07:00:00 UTC 2010 年 6 月 2 日 (水) 16 時 0 分 0 秒 (日本時間)
403e6159490Rich DickersonJanuary 16, 2011 20:54:11 UTC 2011 年 1 月 17 日 (月) 5 時 54 分 11 秒 (日本時間)
1504Wataru SakaiMarch 26, 2012 09:44:25 UTC 2012 年 3 月 26 日 (月) 18 時 44 分 25 秒 (日本時間)
4511e6210 / 4123Rich DickersonJanuary 17, 2011 00:56:29 UTC 2011 年 1 月 17 日 (月) 9 時 56 分 29 秒 (日本時間)

76×10179+239

c167

name 名前Robert Backstrom
date 日付February 25, 2012 22:27:34 UTC 2012 年 2 月 26 日 (日) 7 時 27 分 34 秒 (日本時間)
composite number 合成数
13355411241849442010128665154653631947259222381406337198879249468111597407528437653314930667506994038561519631508383808560061990181867598093104046348007339241540472047<167>
prime factors 素因数
246315386309599198977867238338752923845897486993058057178833448149793447876477<78>
54220775412960737151503731940649458249067823761200726400428624509954717856803545118120411<89>
factorization results 素因数分解の結果
Number: n
N=13355411241849442010128665154653631947259222381406337198879249468111597407528437653314930667506994038561519631508383808560061990181867598093104046348007339241540472047
  ( 167 digits)
SNFS difficulty: 180 digits.
Divisors found:

Sun Feb 26 07:59:53 2012  prp78 factor: 246315386309599198977867238338752923845897486993058057178833448149793447876477
Sun Feb 26 07:59:53 2012  prp89 factor: 54220775412960737151503731940649458249067823761200726400428624509954717856803545118120411
Sun Feb 26 07:59:53 2012  elapsed time 02:17:51 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.663).
Factorization parameters were as follows:
name: KA_84447_179
n: 13355411241849442010128665154653631947259222381406337198879249468111597407528437653314930667506994038561519631508383808560061990181867598093104046348007339241540472047
m: 200000000000000000000000000000000000
#  c167, diff: 180.88
skew: 0.25
deg: 5
c5: 23750
c0: 23
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 9000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5806402 hash collisions in 75496406 relations (72407893 unique)
Msieve: matrix is 1050148 x 1050396 (291.4 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.93 BogoMIPS (lpj=2798468)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.12 BogoMIPS (lpj=2797560)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Total of 8 processors activated (44762.71 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 2, 2010 07:00:00 UTC 2010 年 6 月 2 日 (水) 16 時 0 分 0 秒 (日本時間)
403e690 / 1456Rich DickersonJanuary 17, 2011 01:53:04 UTC 2011 年 1 月 17 日 (月) 10 時 53 分 4 秒 (日本時間)
4511e6250 / 4455Rich DickersonJanuary 17, 2011 13:07:03 UTC 2011 年 1 月 17 日 (月) 22 時 7 分 3 秒 (日本時間)

76×10181+239

c134

name 名前Robert Backstrom
date 日付April 25, 2012 20:28:55 UTC 2012 年 4 月 26 日 (木) 5 時 28 分 55 秒 (日本時間)
composite number 合成数
41635661597774904485555819219561349627832900479021898972245626807309019939413611184804559563705353589647563958363846080267118343208437<134>
prime factors 素因数
3983396483569495137370091474657233912787753451544267914772289<61>
10452301639947591811758958421617197262990077197481494778619061536098846133<74>
factorization results 素因数分解の結果
Number: n
N=41635661597774904485555819219561349627832900479021898972245626807309019939413611184804559563705353589647563958363846080267118343208437
  ( 134 digits)
Divisors found:

Thu Apr 26 06:22:09 2012  prp61 factor: 3983396483569495137370091474657233912787753451544267914772289
Thu Apr 26 06:22:09 2012  prp74 factor: 10452301639947591811758958421617197262990077197481494778619061536098846133
Thu Apr 26 06:22:09 2012  elapsed time 03:40:29 (Msieve 1.44 - dependency 5)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.757).
Factorization parameters were as follows:
name: KA_84447_181
n: 41635661597774904485555819219561349627832900479021898972245626807309019939413611184804559563705353589647563958363846080267118343208437
skew: 242304.35
# norm 2.55e+18
c5: 73680
c4: -204507814606
c3: -8589323767053663
c2: 9739335946927274612030
c1: 185925962267390328597400176
c0: -93827205681811328266241571730432
# alpha -6.19
Y1: 22032418167793
Y0: -56288965219506906384749037
# Murphy_E 4.67e-11
# M 16998256190986802629258346140679451153175134873257628282528154178069481016875180698735920078266645539296539600962508225183449982904867
type: gnfs
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
qintsize: 60000
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 23280000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 2892743 hash collisions in 12636361 relations
Msieve: matrix is 1304110 x 1304335 (376.2 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,133,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5400000,5400000,27,27,51,51,2.5,2.5,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 2, 2010 07:00:00 UTC 2010 年 6 月 2 日 (水) 16 時 0 分 0 秒 (日本時間)
403e686090Rich DickersonJanuary 17, 2011 13:28:21 UTC 2011 年 1 月 17 日 (月) 22 時 28 分 21 秒 (日本時間)
770Ignacio SantosJuly 15, 2011 06:34:09 UTC 2011 年 7 月 15 日 (金) 15 時 34 分 9 秒 (日本時間)
4511e6540 / 4071320Rich DickersonJanuary 17, 2011 15:28:06 UTC 2011 年 1 月 18 日 (火) 0 時 28 分 6 秒 (日本時間)
220Ignacio SantosJuly 15, 2011 06:34:09 UTC 2011 年 7 月 15 日 (金) 15 時 34 分 9 秒 (日本時間)
5043e661 / 7399Ignacio SantosJuly 15, 2011 06:34:09 UTC 2011 年 7 月 15 日 (金) 15 時 34 分 9 秒 (日本時間)

76×10182+239

c178

name 名前Ignacio Santos
date 日付June 6, 2010 09:54:31 UTC 2010 年 6 月 6 日 (日) 18 時 54 分 31 秒 (日本時間)
composite number 合成数
5535997459268534483072595137208968607252302355785445134258864698036833322042812199298822216540540619288726305384558791928807072673806646547686426535492663710735391704599175573431<178>
prime factors 素因数
20633912719499762325135527589423393033734146509904821212831<59>
268296058751708545546171705635488461800947923742922772264174835908659058152762870114024422438272255170813795222271002601<120>
factorization results 素因数分解の結果
Number: 3
N=5535997459268534483072595137208968607252302355785445134258864698036833322042812199298822216540540619288726305384558791928807072673806646547686426535492663710735391704599175573431
  ( 178 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=20633912719499762325135527589423393033734146509904821212831 (pp59)
 r2=268296058751708545546171705635488461800947923742922772264174835908659058152762870114024422438272255170813795222271002601 (pp120)
Version: Msieve-1.40
Total time: 174.47 hours.
Scaled time: 303.41 units (timescale=1.739).
Factorization parameters were as follows:
n: 5535997459268534483072595137208968607252302355785445134258864698036833322042812199298822216540540619288726305384558791928807072673806646547686426535492663710735391704599175573431
m: 1000000000000000000000000000000000000
deg: 5
c5: 7600
c0: 23
skew: 0.31
type: snfs
lss: 1
rlim: 8100000
alim: 8100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8100000/8100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [4050000, 6850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1458447 x 1458672
Total sieving time: 170.90 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 3.02 hours.
Time per square root: 0.36 hours.
Prototype def-par.txt line would be:
snfs,183.000,5,0,0,0,0,0,0,0,0,8100000,8100000,28,28,53,53,2.5,2.5,100000
total time: 174.47 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 2, 2010 07:00:00 UTC 2010 年 6 月 2 日 (水) 16 時 0 分 0 秒 (日本時間)

76×10183+239

c118

name 名前Dmitry Domanov
date 日付June 4, 2010 01:26:33 UTC 2010 年 6 月 4 日 (金) 10 時 26 分 33 秒 (日本時間)
composite number 合成数
5465813197366499830071405539817932682455374150886496573028723349485352774405883202030268944370585414803538987478567689<118>
prime factors 素因数
157361885518576286936297462082470894504365651<45>
34734034733723817985152633944792114847653712888103949185445934747090812339<74>
factorization results 素因数分解の結果
N=5465813197366499830071405539817932682455374150886496573028723349485352774405883202030268944370585414803538987478567689
  ( 118 digits)
Divisors found:
 r1=157361885518576286936297462082470894504365651 (pp45)
 r2=34734034733723817985152633944792114847653712888103949185445934747090812339 (pp74)
Version: Msieve-1.40
Total time: 29.50 hours.
Scaled time: 55.36 units (timescale=1.877).
Factorization parameters were as follows:
n: 5465813197366499830071405539817932682455374150886496573028723349485352774405883202030268944370585414803538987478567689
skew: 117083.93
# norm 4.66e+015
c5: 1260
c4: -1149115095
c3: -63525003146643
c2: 18454157297442632778
c1: 247093903301060258450657
c0: -3785727280403878274402079597
# alpha -5.45
Y1: 1897560883447
Y0: -84617194944772468362868
# Murphy_E 3.95e-010
# M 683372466176945597161394372800135584697922906919953078724195855326171480496489139807424435832742070837441366231782931
type: gnfs
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [1900000, 3500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 623218 x 623445
Total sieving time: 28.79 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.50 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
gnfs,117,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3800000,3800000,27,27,53,53,2.5,2.5,100000
total time: 29.50 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJune 2, 2010 07:00:00 UTC 2010 年 6 月 2 日 (水) 16 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 2, 2010 17:15:36 UTC 2010 年 6 月 3 日 (木) 2 時 15 分 36 秒 (日本時間)
403e6110 / 2126Ignacio SantosJune 2, 2010 17:15:36 UTC 2010 年 6 月 3 日 (木) 2 時 15 分 36 秒 (日本時間)
4511e632 / 4437Ignacio SantosJune 2, 2010 17:15:36 UTC 2010 年 6 月 3 日 (木) 2 時 15 分 36 秒 (日本時間)

76×10184+239

c166

name 名前Dmitry Domanov
date 日付January 22, 2014 06:19:08 UTC 2014 年 1 月 22 日 (水) 15 時 19 分 8 秒 (日本時間)
composite number 合成数
4744873166946666293806857443365176446745193996976869098519744110865281319210874767096977978182756659453402862940770292945630364229050748853746049194457216437180921069<166>
prime factors 素因数
9599125251790290715824977695275957336602817291346638979007<58>
494302662220364384434526378426828747541570305152952281683740610304913610486224068215753756895105080507446867<108>
factorization results 素因数分解の結果
N=4744873166946666293806857443365176446745193996976869098519744110865281319210874767096977978182756659453402862940770292945630364229050748853746049194457216437180921069
  ( 166 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=9599125251790290715824977695275957336602817291346638979007 (pp58)
 r2=494302662220364384434526378426828747541570305152952281683740610304913610486224068215753756895105080507446867 (pp108)
Version: Msieve-1.40
Total time: 0.29 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 4744873166946666293806857443365176446745193996976869098519744110865281319210874767096977978182756659453402862940770292945630364229050748853746049194457216437180921069
m: 10000000000000000000000000000000000000
deg: 5
c5: 38
c0: 115
skew: 1.25
# Murphy_E = 5.673e-11
type: snfs
lss: 1
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 600000
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, 12900001)
Primes: , , 
Relations: 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.29 hours.
Prototype def-par.txt line would be:
snfs,186.000,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,54,54,2.5,2.5,100000
total time: 0.29 hours.
 --------- CPU info (if available) ----------
[    0.074309] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49296732k/51380224k available (5105k kernel code, 1057796k absent, 1025696k reserved, 7223k data, 1316k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.00 BogoMIPS (lpj=2400000)
[    0.707507] Total of 16 processors activated (76799.07 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJune 2, 2010 07:00:00 UTC 2010 年 6 月 2 日 (水) 16 時 0 分 0 秒 (日本時間)
300Ignacio SantosMarch 26, 2011 01:58:11 UTC 2011 年 3 月 26 日 (土) 10 時 58 分 11 秒 (日本時間)
403e6110Ignacio SantosMarch 26, 2011 01:58:11 UTC 2011 年 3 月 26 日 (土) 10 時 58 分 11 秒 (日本時間)
4511e6632 / 443732Ignacio SantosMarch 26, 2011 01:58:11 UTC 2011 年 3 月 26 日 (土) 10 時 58 分 11 秒 (日本時間)
600Rich DickersonNovember 10, 2013 00:45:28 UTC 2013 年 11 月 10 日 (日) 9 時 45 分 28 秒 (日本時間)

76×10185+239

c168

name 名前Serge Batalov
date 日付June 6, 2010 04:29:20 UTC 2010 年 6 月 6 日 (日) 13 時 29 分 20 秒 (日本時間)
composite number 合成数
574310050275114463095776038459967284564720905476792946655745825655858287801311768970455264409082378242184694343214793779421364588148149309495229206206684731595023295889<168>
prime factors 素因数
941584817818383684603313041301<30>
composite cofactor 合成数の残り
609939794490069487489203468590180437005046820098345762936519755881584693912774637366224054052074452293126605978975491125491384621321490189<138>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3879649023
Step 1 took 11397ms
Step 2 took 6500ms
********** Factor found in step 2: 941584817818383684603313041301
Found probable prime factor of 30 digits: 941584817818383684603313041301
Composite cofactor has 138 digits

c138

name 名前Jo Yeong Uk
date 日付September 29, 2014 11:35:47 UTC 2014 年 9 月 29 日 (月) 20 時 35 分 47 秒 (日本時間)
composite number 合成数
609939794490069487489203468590180437005046820098345762936519755881584693912774637366224054052074452293126605978975491125491384621321490189<138>
prime factors 素因数
73814851327732552528136857091501477269997380217<47>
8263104016588495400839537722450537074364882610874272545877771951254031745498398625742654517<91>
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 609939794490069487489203468590180437005046820098345762936519755881584693912774637366224054052074452293126605978975491125491384621321490189 (138 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=5172854632
Step 1 took 24559ms
Step 2 took 8840ms
********** Factor found in step 2: 73814851327732552528136857091501477269997380217
Found probable prime factor of 47 digits: 73814851327732552528136857091501477269997380217
Probable prime cofactor 8263104016588495400839537722450537074364882610874272545877771951254031745498398625742654517 has 91 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
351e6418118Makoto KamadaJune 2, 2010 07:00:00 UTC 2010 年 6 月 2 日 (水) 16 時 0 分 0 秒 (日本時間)
300Ignacio SantosMarch 26, 2011 01:58:39 UTC 2011 年 3 月 26 日 (土) 10 時 58 分 39 秒 (日本時間)
403e61910110Ignacio SantosMarch 26, 2011 01:58:39 UTC 2011 年 3 月 26 日 (土) 10 時 58 分 39 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:07:04 UTC 2014 年 1 月 9 日 (木) 14 時 7 分 4 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:34:11 UTC 2014 年 2 月 26 日 (水) 20 時 34 分 11 秒 (日本時間)
4511e6832 / 403932Ignacio SantosMarch 26, 2011 01:58:39 UTC 2011 年 3 月 26 日 (土) 10 時 58 分 39 秒 (日本時間)
300Rich DickersonApril 8, 2014 02:45:17 UTC 2014 年 4 月 8 日 (火) 11 時 45 分 17 秒 (日本時間)
500Dmitry DomanovApril 16, 2014 12:14:28 UTC 2014 年 4 月 16 日 (水) 21 時 14 分 28 秒 (日本時間)

76×10186+239

c154

name 名前Serge Batalov
date 日付June 2, 2010 16:30:06 UTC 2010 年 6 月 3 日 (木) 1 時 30 分 6 秒 (日本時間)
composite number 合成数
9116363789585272681748030534954598198885074539097409385658489954707753656243078361623388208423574320956103440639326628957078435070097528480027591419114651<154>
prime factors 素因数
920025685591022279357679587<27>
9908814430250327838889861626031875167315944778411924261660370329713855406336457799756795103940871198643751658248804142938410473<127>
factorization results 素因数分解の結果
Using B1=1500000, B2=2140044280, polynomial Dickson(6), sigma=2396083362
Step 1 took 5256ms
Step 2 took 3097ms
********** Factor found in step 2: 920025685591022279357679587
Found probable prime factor of 27 digits: 920025685591022279357679587
Probable prime cofactor has 127 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 2, 2010 07:00:00 UTC 2010 年 6 月 2 日 (水) 16 時 0 分 0 秒 (日本時間)

76×10187+239

c156

composite cofactor 合成数の残り
462307193273253659224617525818247661972788907990978967473113022855758778998745687303884541842413799078949867116372464649288825596325586503913278383466898013<156>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJune 2, 2010 07:00:00 UTC 2010 年 6 月 2 日 (水) 16 時 0 分 0 秒 (日本時間)
300Ignacio SantosMarch 26, 2011 01:59:06 UTC 2011 年 3 月 26 日 (土) 10 時 59 分 6 秒 (日本時間)
403e61910110Ignacio SantosMarch 26, 2011 01:59:06 UTC 2011 年 3 月 26 日 (土) 10 時 59 分 6 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:07:05 UTC 2014 年 1 月 9 日 (木) 14 時 7 分 5 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:34:20 UTC 2014 年 2 月 26 日 (水) 20 時 34 分 20 秒 (日本時間)
4511e6403932Ignacio SantosMarch 26, 2011 01:59:06 UTC 2011 年 3 月 26 日 (土) 10 時 59 分 6 秒 (日本時間)
800Rich DickersonApril 10, 2014 14:25:05 UTC 2014 年 4 月 10 日 (木) 23 時 25 分 5 秒 (日本時間)
3207Jo Yeong UkFebruary 10, 2018 04:14:46 UTC 2018 年 2 月 10 日 (土) 13 時 14 分 46 秒 (日本時間)

76×10188+239

c164

composite cofactor 合成数の残り
52107556064766424918437346343729316327398659546942640799130943087090555723219361801283111239248494401113134024874583363652902400919365448223218320419242737633397303<164>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJune 2, 2010 07:00:00 UTC 2010 年 6 月 2 日 (水) 16 時 0 分 0 秒 (日本時間)
300Ignacio SantosMarch 26, 2011 01:59:45 UTC 2011 年 3 月 26 日 (土) 10 時 59 分 45 秒 (日本時間)
403e61910110Ignacio SantosMarch 26, 2011 01:59:45 UTC 2011 年 3 月 26 日 (土) 10 時 59 分 45 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:07:05 UTC 2014 年 1 月 9 日 (木) 14 時 7 分 5 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:34:27 UTC 2014 年 2 月 26 日 (水) 20 時 34 分 27 秒 (日本時間)
4511e6532 / 403932Ignacio SantosMarch 26, 2011 01:59:45 UTC 2011 年 3 月 26 日 (土) 10 時 59 分 45 秒 (日本時間)
500Dmitry DomanovApril 16, 2014 12:15:08 UTC 2014 年 4 月 16 日 (水) 21 時 15 分 8 秒 (日本時間)

76×10190+239

c186

name 名前Ignacio Santos
date 日付June 11, 2010 12:56:05 UTC 2010 年 6 月 11 日 (金) 21 時 56 分 5 秒 (日本時間)
composite number 合成数
124880316183815280979889832556857104219360819819557802086717220190452341152648604700725143846514204232226778710600876429776922676244329653143278637398006877290465207111539647775068203549<186>
prime factors 素因数
350974110220952307892982374931132410562899020295519054427719<60>
355810621202794995483560168894840968190121422181086169358651877787586966223391672637528152998867173931419140309986039828904571<126>
factorization results 素因数分解の結果
Number: 5
N=124880316183815280979889832556857104219360819819557802086717220190452341152648604700725143846514204232226778710600876429776922676244329653143278637398006877290465207111539647775068203549
  ( 186 digits)
SNFS difficulty: 191 digits.
Divisors found:
 r1=350974110220952307892982374931132410562899020295519054427719 (pp60)
 r2=355810621202794995483560168894840968190121422181086169358651877787586966223391672637528152998867173931419140309986039828904571 (pp126)
Version: Msieve-1.40
Total time: 234.80 hours.
Scaled time: 408.31 units (timescale=1.739).
Factorization parameters were as follows:
n: 124880316183815280979889832556857104219360819819557802086717220190452341152648604700725143846514204232226778710600876429776922676244329653143278637398006877290465207111539647775068203549
m: 100000000000000000000000000000000000000
deg: 5
c5: 76
c0: 23
skew: 0.79
type: snfs
lss: 1
rlim: 11000000
alim: 11000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
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: 54/54
Sieved rational special-q in [5500000, 9100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1871882 x 1872107
Total sieving time: 228.84 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 5.36 hours.
Time per square root: 0.37 hours.
Prototype def-par.txt line would be:
snfs,191.000,5,0,0,0,0,0,0,0,0,11000000,11000000,28,28,54,54,2.5,2.5,100000
total time: 234.80 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJune 2, 2010 07:00:00 UTC 2010 年 6 月 2 日 (水) 16 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 3, 2010 21:31:27 UTC 2010 年 6 月 4 日 (金) 6 時 31 分 27 秒 (日本時間)
403e62428110Ignacio SantosJune 3, 2010 21:31:27 UTC 2010 年 6 月 4 日 (金) 6 時 31 分 27 秒 (日本時間)
2318Wataru SakaiJune 4, 2010 09:47:14 UTC 2010 年 6 月 4 日 (金) 18 時 47 分 14 秒 (日本時間)
4511e632 / 3924Ignacio SantosJune 3, 2010 21:31:27 UTC 2010 年 6 月 4 日 (金) 6 時 31 分 27 秒 (日本時間)

76×10191+239

c188

name 名前Ignacio Santos
date 日付June 15, 2010 12:49:47 UTC 2010 年 6 月 15 日 (火) 21 時 49 分 47 秒 (日本時間)
composite number 合成数
72727968688695585603689987463994870764313534100804792390357802467009253677068680083062995818141800400003827787825720820294931051971789203724437554426358146967913568550895223877740456846477<188>
prime factors 素因数
462912779541099422270432802740081376384377459039<48>
157109442432747697099328484594929971629995370057566098340143759624545233498237465027174720326740842843409312361848661408175900208596113700243<141>
factorization results 素因数分解の結果
Number: 6
N=72727968688695585603689987463994870764313534100804792390357802467009253677068680083062995818141800400003827787825720820294931051971789203724437554426358146967913568550895223877740456846477
  ( 188 digits)
SNFS difficulty: 192 digits.
Divisors found:
 r1=462912779541099422270432802740081376384377459039 (pp48)
 r2=157109442432747697099328484594929971629995370057566098340143759624545233498237465027174720326740842843409312361848661408175900208596113700243 (pp141)
Version: Msieve-1.40
Total time: 352.59 hours.
Scaled time: 613.16 units (timescale=1.739).
Factorization parameters were as follows:
n: 72727968688695585603689987463994870764313534100804792390357802467009253677068680083062995818141800400003827787825720820294931051971789203724437554426358146967913568550895223877740456846477
m: 100000000000000000000000000000000000000
deg: 5
c5: 760
c0: 23
skew: 0.50
type: snfs
lss: 1
rlim: 11500000
alim: 11500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11500000/11500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [5750000, 11150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2192499 x 2192722
Total sieving time: 341.77 hours.
Total relation processing time: 0.29 hours.
Matrix solve time: 8.04 hours.
Time per square root: 2.50 hours.
Prototype def-par.txt line would be:
snfs,192.000,5,0,0,0,0,0,0,0,0,11500000,11500000,28,28,55,55,2.5,2.5,100000
total time: 352.59 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJune 2, 2010 07:00:00 UTC 2010 年 6 月 2 日 (水) 16 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 3, 2010 22:44:45 UTC 2010 年 6 月 4 日 (金) 7 時 44 分 45 秒 (日本時間)
403e62428110Ignacio SantosJune 3, 2010 22:44:45 UTC 2010 年 6 月 4 日 (金) 7 時 44 分 45 秒 (日本時間)
2318Wataru SakaiJune 4, 2010 09:48:06 UTC 2010 年 6 月 4 日 (金) 18 時 48 分 6 秒 (日本時間)
4511e632 / 3924Ignacio SantosJune 3, 2010 22:44:45 UTC 2010 年 6 月 4 日 (金) 7 時 44 分 45 秒 (日本時間)

76×10192+239

c144

composite cofactor 合成数の残り
265119402713445252164487815927529870646394134220176165070011962594729497989959457829028230823387595605877416050764276577814756390984757609403441<144>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJune 2, 2010 07:00:00 UTC 2010 年 6 月 2 日 (水) 16 時 0 分 0 秒 (日本時間)
300Ignacio SantosMarch 26, 2011 02:25:39 UTC 2011 年 3 月 26 日 (土) 11 時 25 分 39 秒 (日本時間)
403e61910110Ignacio SantosMarch 26, 2011 02:25:39 UTC 2011 年 3 月 26 日 (土) 11 時 25 分 39 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:07:06 UTC 2014 年 1 月 9 日 (木) 14 時 7 分 6 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:34:35 UTC 2014 年 2 月 26 日 (水) 20 時 34 分 35 秒 (日本時間)
4511e61032 / 403932Ignacio SantosMarch 26, 2011 02:25:39 UTC 2011 年 3 月 26 日 (土) 11 時 25 分 39 秒 (日本時間)
1000Dmitry DomanovApril 18, 2014 11:52:34 UTC 2014 年 4 月 18 日 (金) 20 時 52 分 34 秒 (日本時間)

76×10193+239

c184

name 名前matsui
date 日付June 30, 2010 16:43:37 UTC 2010 年 7 月 1 日 (木) 1 時 43 分 37 秒 (日本時間)
composite number 合成数
9409783224960833311677924417223388204990654231344599169481535499877364790059769445775102009888446095356887468688185333677742740631944653755631547238927995088090977462750809847988118269<184>
prime factors 素因数
237781145348903711509507503856255687387182794503561359766309848528711882217<75>
39573294220420900410397678606764099530726995134680895802597498134622860082991979037337999793818180675143840757<110>
factorization results 素因数分解の結果
N=9409783224960833311677924417223388204990654231344599169481535499877364790059769445775102009888446095356887468688185333677742740631944653755631547238927995088090977462750809847988118269
  ( 184 digits)
SNFS difficulty: 194 digits.
Divisors found:
 r1=237781145348903711509507503856255687387182794503561359766309848528711882217 (pp75)
 r2=39573294220420900410397678606764099530726995134680895802597498134622860082991979037337999793818180675143840757 (pp110)
Version: Msieve v. 1.46
Total time:
Scaled time: 1361.82 units (timescale=1.862).
Factorization parameters were as follows:
n: 9409783224960833311677924417223388204990654231344599169481535499877364790059769445775102009888446095356887468688185333677742740631944653755631547238927995088090977462750809847988118269
m: 200000000000000000000000000000000000000
deg: 5
c5: 2375
c0: 23
skew: 0.40
type: snfs
lss: 1
rlim: 12400000
alim: 12400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 1600000
Factor base limits: 12400000/12400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6200000, 22200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2328322 x 2328547
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,194.000,5,0,0,0,0,0,0,0,0,12400000,12400000,28,28,55,55,2.5,2.5,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 2, 2010 07:00:00 UTC 2010 年 6 月 2 日 (水) 16 時 0 分 0 秒 (日本時間)

76×10194+239

c154

composite cofactor 合成数の残り
1208899189884969689989869905442745253753325358873154946475883754526039968276167222543490644149416866068024378383972292885168572038230186210148280058793143<154>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJune 2, 2010 07:00:00 UTC 2010 年 6 月 2 日 (水) 16 時 0 分 0 秒 (日本時間)
300Ignacio SantosMarch 26, 2011 11:51:02 UTC 2011 年 3 月 26 日 (土) 20 時 51 分 2 秒 (日本時間)
403e61910110Ignacio SantosMarch 26, 2011 11:51:02 UTC 2011 年 3 月 26 日 (土) 20 時 51 分 2 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:07:07 UTC 2014 年 1 月 9 日 (木) 14 時 7 分 7 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:34:44 UTC 2014 年 2 月 26 日 (水) 20 時 34 分 44 秒 (日本時間)
4511e61032 / 403932Ignacio SantosMarch 26, 2011 11:51:02 UTC 2011 年 3 月 26 日 (土) 20 時 51 分 2 秒 (日本時間)
1000Dmitry DomanovApril 18, 2014 11:52:51 UTC 2014 年 4 月 18 日 (金) 20 時 52 分 51 秒 (日本時間)

76×10195+239

c139

composite cofactor 合成数の残り
4802933027424316096619197629268662214396588721868831237153359474968474304061747881363789115457265910095596959390781697707027916255643007993<139>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJune 2, 2010 07:00:00 UTC 2010 年 6 月 2 日 (水) 16 時 0 分 0 秒 (日本時間)
300Ignacio SantosMarch 26, 2011 11:51:36 UTC 2011 年 3 月 26 日 (土) 20 時 51 分 36 秒 (日本時間)
403e61910110Ignacio SantosMarch 26, 2011 11:51:36 UTC 2011 年 3 月 26 日 (土) 20 時 51 分 36 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:07:07 UTC 2014 年 1 月 9 日 (木) 14 時 7 分 7 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:34:52 UTC 2014 年 2 月 26 日 (水) 20 時 34 分 52 秒 (日本時間)
4511e61032 / 403932Ignacio SantosMarch 26, 2011 11:51:36 UTC 2011 年 3 月 26 日 (土) 20 時 51 分 36 秒 (日本時間)
1000Dmitry DomanovApril 18, 2014 11:53:05 UTC 2014 年 4 月 18 日 (金) 20 時 53 分 5 秒 (日本時間)

76×10198+239

c142

name 名前Serge Batalov
date 日付June 6, 2010 04:31:54 UTC 2010 年 6 月 6 日 (日) 13 時 31 分 54 秒 (日本時間)
composite number 合成数
2726607590268443321316634507461143697458120455709237834450825024297398788438943576637293789140407630417343965688537217831096232436097704909649<142>
prime factors 素因数
4753695109444889059134090208635701<34>
14161795099520576699080589690921131<35>
40501677310719697948919069632876937389046410400182062582187009943257651079<74>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=641435155
Step 1 took 9912ms
Step 2 took 5953ms
********** Factor found in step 2: 14161795099520576699080589690921131
Found probable prime factor of 35 digits: 14161795099520576699080589690921131
Composite cofactor has 108 digits

Divisors found:
 r1=4753695109444889059134090208635701 (pp34)
 r2=40501677310719697948919069632876937389046410400182062582187009943257651079 (pp74)
Version: Msieve v. 1.45 SVN229
Total time: 6.28 hours.
Scaled time: 15.07 units (timescale=2.400).
Factorization parameters were as follows:
n: 192532625356283254521852528544586599517104801559231731694328823008834520624071023017834995699713366480571379
# norm 3.508037e-10 alpha -5.969817 e 1.527e-09
skew: 48176.29
c0: -190410568289193227608665396
c1:  151535984853635758548
c2:  474605969494520391
c3: -3251877773102
c4: -80771374
c5:  1560
Y0: -658077263782935016067
Y1:  137476183237
type: gnfs
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [2000000, 3100001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 338025 x 338255
Total sieving time: 5.94 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.25 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,107,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,26,26,49,49,2.6,2.6,100000
total time: 6.28 hours.
software ソフトウェア
GMP-ECM 6.2.3+Msieve v. 1.45

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 2, 2010 07:00:00 UTC 2010 年 6 月 2 日 (水) 16 時 0 分 0 秒 (日本時間)

76×10199+239

c196

name 名前Wataru Sakai
date 日付June 4, 2010 03:44:22 UTC 2010 年 6 月 4 日 (金) 12 時 44 分 22 秒 (日本時間)
composite number 合成数
1275229835008750425775750833513711237627334215926613878863233278129304949401900428040961724647675809728996880720706208859155898525263813172117435244332358453683149012284154765919818246189831384413<196>
prime factors 素因数
446824055047300416966780662532518808232782273197629<51>
2853986531396022698068802292812284642862735947925390048401849567682892201620990659513700205898418030662289744222006967701399793372139887462753697<145>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2727544917
Step 1 took 21228ms
Step 2 took 7693ms
********** Factor found in step 2: 446824055047300416966780662532518808232782273197629
Found probable prime factor of 51 digits: 446824055047300416966780662532518808232782273197629
Probable prime cofactor 2853986531396022698068802292812284642862735947925390048401849567682892201620990659513700205898418030662289744222006967701399793372139887462753697 has 145 digits
software ソフトウェア
GMP-ECM 6.2.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 2, 2010 07:00:00 UTC 2010 年 6 月 2 日 (水) 16 時 0 分 0 秒 (日本時間)

76×10200+239

c161

composite cofactor 合成数の残り
38288464325138284996710203707531613565542284959956923962109413307716233119195641472082114467586149844344941858418237397325475637920385325682003504632026815112147<161>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJune 2, 2010 07:00:00 UTC 2010 年 6 月 2 日 (水) 16 時 0 分 0 秒 (日本時間)
300Ignacio SantosMarch 26, 2011 11:52:13 UTC 2011 年 3 月 26 日 (土) 20 時 52 分 13 秒 (日本時間)
403e61910110Ignacio SantosMarch 26, 2011 11:52:13 UTC 2011 年 3 月 26 日 (土) 20 時 52 分 13 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:07:08 UTC 2014 年 1 月 9 日 (木) 14 時 7 分 8 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:35:00 UTC 2014 年 2 月 26 日 (水) 20 時 35 分 0 秒 (日本時間)
4511e61532 / 333732Ignacio SantosMarch 26, 2011 11:52:13 UTC 2011 年 3 月 26 日 (土) 20 時 52 分 13 秒 (日本時間)
1500Dmitry DomanovApril 18, 2014 11:53:21 UTC 2014 年 4 月 18 日 (金) 20 時 53 分 21 秒 (日本時間)
5043e6200 / 7135Dmitry DomanovSeptember 9, 2014 06:16:13 UTC 2014 年 9 月 9 日 (火) 15 時 16 分 13 秒 (日本時間)

76×10201+239

c174

composite cofactor 合成数の残り
432073749526223636776398613452493534524111512175683559021887187910459111218034313256549807352517531865312323265195204672066192514276647275319205113883525490882646061392671429<174>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62100300CypDecember 29, 2013 21:41:31 UTC 2013 年 12 月 30 日 (月) 6 時 41 分 31 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:07:09 UTC 2014 年 1 月 9 日 (木) 14 時 7 分 9 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:35:07 UTC 2014 年 2 月 26 日 (水) 20 時 35 分 7 秒 (日本時間)
4511e61500 / 4011Dmitry DomanovApril 18, 2014 11:53:35 UTC 2014 年 4 月 18 日 (金) 20 時 53 分 35 秒 (日本時間)

76×10202+239

c180

name 名前Cyp
date 日付December 29, 2013 17:43:13 UTC 2013 年 12 月 30 日 (月) 2 時 43 分 13 秒 (日本時間)
composite number 合成数
398303376473037085906366520546245151296285588061600775711333301581234374796846963838531720309586113326751689338039930237866454481356324259660968008221538437932725794051262066514887<180>
prime factors 素因数
18488387426392320245331814036977893<35>
21543435200003210930301457142841998912380939302071775887708750612573137468174633652615033099800648281108422745990412181335555681697803810392134459<146>
factorization results 素因数分解の結果
Run 55 out of 300:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=802221423
Step 1 took 16150ms
Step 2 took 5431ms
********** Factor found in step 2: 18488387426392320245331814036977893
Found probable prime factor of 35 digits: 18488387426392320245331814036977893
Probable prime cofactor 21543435200003210930301457142841998912380939302071775887708750612573137468174633652615033099800648281108422745990412181335555681697803810392134459 has 146 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
3025e40--
351e6118 / 750Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e655 / 2318CypDecember 29, 2013 17:42:03 UTC 2013 年 12 月 30 日 (月) 2 時 42 分 3 秒 (日本時間)

76×10203+239

c94

name 名前Serge Batalov
date 日付November 26, 2013 23:05:54 UTC 2013 年 11 月 27 日 (水) 8 時 5 分 54 秒 (日本時間)
composite number 合成数
1289945210193321406556417457037199582005843053517324450669665051919976583747770333088286561823<94>
prime factors 素因数
536549705596710077997623714312537<33>
2404148575123607090188473693148490692844138130427612101172279<61>
factorization results 素因数分解の結果
starting SIQS on c94: 1289945210193321406556417457037199582005843053517324450669665051919976583747770333088286561823
n = 95 digits, 314 bits
factor base: 86080 primes (max prime = 2335303)
...
recovered 18 nontrivial dependencies
p61 = 2404148575123607090188473693148490692844138130427612101172279
p33 = 536549705596710077997623714312537
software ソフトウェア
Yafu

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)

76×10204+239

c202

name 名前Serge Batalov
date 日付January 5, 2014 01:01:05 UTC 2014 年 1 月 5 日 (日) 10 時 1 分 5 秒 (日本時間)
composite number 合成数
3185380778741774592396999036003185380778741774592396999036003185380778741774592396999036003185380778741774592396999036003185380778741774592396999036003185380778741774592396999036003185380778741774592397<202>
prime factors 素因数
1241683731241677930291448051062710427409<40>
composite cofactor 合成数の残り
2565372081952308979075527526327966576163564601603536311788078508871898643435669628146164639303043225516454722016892601572724475110499769286732478687585734859283133<163>
factorization results 素因数分解の結果
Using B1=43000000, B2=582162027730, polynomial Dickson(30), sigma=3833523918
Step 1 took 259912ms
Step 2 took 152527ms
********** Factor found in step 2: 1241683731241677930291448051062710427409
Found probable prime factor of 40 digits: 1241683731241677930291448051062710427409
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e6210Serge BatalovDecember 4, 2013 17:31:51 UTC 2013 年 12 月 5 日 (木) 2 時 31 分 51 秒 (日本時間)
4511e6560 / 267560Serge BatalovDecember 4, 2013 17:31:51 UTC 2013 年 12 月 5 日 (木) 2 時 31 分 51 秒 (日本時間)
500Serge BatalovJanuary 4, 2014 22:39:16 UTC 2014 年 1 月 5 日 (日) 7 時 39 分 16 秒 (日本時間)
5043e6500 / 7419Serge BatalovJanuary 4, 2014 23:01:13 UTC 2014 年 1 月 5 日 (日) 8 時 1 分 13 秒 (日本時間)

76×10205+239

c196

composite cofactor 合成数の残り
3446266495920448123738393558430869549449265111289530376709525286632043886442928473449229783448436493757471827972068295673504300900766659727251300253833680891828395645373729367082487430880484811087<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62100300CypDecember 29, 2013 21:44:26 UTC 2013 年 12 月 30 日 (月) 6 時 44 分 26 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:07:10 UTC 2014 年 1 月 9 日 (木) 14 時 7 分 10 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:35:23 UTC 2014 年 2 月 26 日 (水) 20 時 35 分 23 秒 (日本時間)
4511e61500 / 4011Dmitry DomanovApril 18, 2014 11:53:55 UTC 2014 年 4 月 18 日 (金) 20 時 53 分 55 秒 (日本時間)

76×10206+239

c181

name 名前Serge Batalov
date 日付November 26, 2013 23:29:27 UTC 2013 年 11 月 27 日 (水) 8 時 29 分 27 秒 (日本時間)
composite number 合成数
1697879406794314196752573129263222390539946400024037034251148744754916396982514734715416763683460163743550441000817198291664275679216489675798175460088078189353302756821608790847839<181>
prime factors 素因数
90521619699443216065276402937<29>
18756617617224955378384569266621417352999666837295260824669436744069630029156357847039805478240254043954262205194671517272014269541972395596072995655447<152>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=999651804
Step 1 took 4594ms
Step 2 took 2265ms
********** Factor found in step 2: 90521619699443216065276402937
Found probable prime factor of 29 digits: 90521619699443216065276402937
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 KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)

76×10207+239

c187

name 名前Serge Batalov
date 日付November 26, 2013 23:40:21 UTC 2013 年 11 月 27 日 (水) 8 時 40 分 21 秒 (日本時間)
composite number 合成数
4242579880996808565714791505000413207405866748979706258561270330680439865214684584836966478981314636101631960154650624581078242135510679906790680172584765397475117654672013002539532936771<187>
prime factors 素因数
125669096583241408186906869057179<33>
composite cofactor 合成数の残り
33759929818438572663222875745342691312768476699814781452713707820041842943536169121678994878095348461172641804229770023380182033254799844751471398417565049<155>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=917617588
Step 1 took 5062ms
Step 2 took 2744ms
********** Factor found in step 2: 125669096583241408186906869057179
Found probable prime factor of 33 digits: 125669096583241408186906869057179
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62100300CypDecember 29, 2013 18:47:32 UTC 2013 年 12 月 30 日 (月) 3 時 47 分 32 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:07:10 UTC 2014 年 1 月 9 日 (木) 14 時 7 分 10 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:35:32 UTC 2014 年 2 月 26 日 (水) 20 時 35 分 32 秒 (日本時間)
4511e61500 / 3309Dmitry DomanovApril 18, 2014 11:54:09 UTC 2014 年 4 月 18 日 (金) 20 時 54 分 9 秒 (日本時間)
5043e6200 / 7137Dmitry DomanovSeptember 9, 2014 06:16:39 UTC 2014 年 9 月 9 日 (火) 15 時 16 分 39 秒 (日本時間)

76×10208+239

c177

composite cofactor 合成数の残り
144987447405302363879869166534287037008395733016689771967060036527301930540306392811050107567344083099868840946929959776393093004924290524158647447271087166249554587780264758707<177>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62100300CypDecember 29, 2013 18:58:57 UTC 2013 年 12 月 30 日 (月) 3 時 58 分 57 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:07:11 UTC 2014 年 1 月 9 日 (木) 14 時 7 分 11 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:35:40 UTC 2014 年 2 月 26 日 (水) 20 時 35 分 40 秒 (日本時間)
4511e61500 / 3877Dmitry DomanovApril 18, 2014 11:54:23 UTC 2014 年 4 月 18 日 (金) 20 時 54 分 23 秒 (日本時間)
5043e638 / 7137CypJanuary 10, 2014 21:57:11 UTC 2014 年 1 月 11 日 (土) 6 時 57 分 11 秒 (日本時間)

76×10209+239

c183

name 名前Serge Batalov
date 日付January 9, 2014 17:21:31 UTC 2014 年 1 月 10 日 (金) 2 時 21 分 31 秒 (日本時間)
composite number 合成数
364403189067933798492880814404787142593175024389361517778950902603431050486125629318491523516522623301376030626814524699892281952575966191561677608845276861174121749903549198669680713<183>
prime factors 素因数
18265870276773603281254806345335248127767<41>
composite cofactor 合成数の残り
19949949471134657045515932755724535536591401615056806453327921895702778219305642517621456883964980749183676120792483131841488660963667703873439<143>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4169596167
Step 1 took 15512ms
Step 2 took 6400ms
********** Factor found in step 2: 18265870276773603281254806345335248127767
Found probable prime factor of 41 digits: 18265870276773603281254806345335248127767
Composite cofactor 

c143

name 名前Erik Branger
date 日付August 17, 2017 20:29:46 UTC 2017 年 8 月 18 日 (金) 5 時 29 分 46 秒 (日本時間)
composite number 合成数
19949949471134657045515932755724535536591401615056806453327921895702778219305642517621456883964980749183676120792483131841488660963667703873439<143>
prime factors 素因数
5376180547332084837270096151276372620318477546693599807267392592709503<70>
3710803477579406426233376399417059097114340430407222020084953417157433313<73>
factorization results 素因数分解の結果
Number: 84447_209
N = 19949949471134657045515932755724535536591401615056806453327921895702778219305642517621456883964980749183676120792483131841488660963667703873439 (143 digits)
Divisors found:
r1=5376180547332084837270096151276372620318477546693599807267392592709503 (pp70)
r2=3710803477579406426233376399417059097114340430407222020084953417157433313 (pp73)
Version: Msieve v. 1.51 (SVN 845)
Total time: 454.23 hours.
Factorization parameters were as follows:
# Murphy_E = 1.61292424e-11, selected by Maksym Voznyy
# selected by CADO-NFS
n: 19949949471134657045515932755724535536591401615056806453327921895702778219305642517621456883964980749183676120792483131841488660963667703873439
Y0: -3413229694969585134469675414
Y1: 13525426927995886313
c0: 907699290032312457979904729925
c1: -431294667160947836347280645
c2: 30135500259172228049958
c3: -5667598878426147
c4: 41404867505
c5: 42900
skew: 422007.11275
type: gnfs
# selected mechanically
rlim: 21000000
alim: 21000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23142493
Relations: 4286694 relations
Pruned matrix : 2642429 x 2642654
Polynomial selection time: 0.00 hours.
Total sieving time: 445.87 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 7.71 hours.
time per square root: 0.45 hours.
Prototype def-par.txt line would be: gnfs,142,5,65,2000,1e-05,0.28,250,20,50000,3600,21000000,21000000,28,28,56,56,2.6,2.6,100000
total time: 454.23 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-post2008Server-6.2.9200
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 KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e6600300CypDecember 29, 2013 18:58:24 UTC 2013 年 12 月 30 日 (月) 3 時 58 分 24 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:07:12 UTC 2014 年 1 月 9 日 (木) 14 時 7 分 12 秒 (日本時間)
4511e65090230Ignacio SantosFebruary 5, 2014 22:46:07 UTC 2014 年 2 月 6 日 (木) 7 時 46 分 7 秒 (日本時間)
230Ignacio SantosFebruary 6, 2014 21:02:20 UTC 2014 年 2 月 7 日 (金) 6 時 2 分 20 秒 (日本時間)
230Ignacio SantosFebruary 6, 2014 23:46:05 UTC 2014 年 2 月 7 日 (金) 8 時 46 分 5 秒 (日本時間)
1500Dmitry DomanovApril 14, 2014 12:25:11 UTC 2014 年 4 月 14 日 (月) 21 時 25 分 11 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:35:42 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 42 秒 (日本時間)
1100Rich DickersonOctober 8, 2015 13:50:54 UTC 2015 年 10 月 8 日 (木) 22 時 50 分 54 秒 (日本時間)

76×10210+239

c193

name 名前Dmitry Domanov
date 日付April 21, 2014 12:49:28 UTC 2014 年 4 月 21 日 (月) 21 時 49 分 28 秒 (日本時間)
composite number 合成数
4093604633559662588874466391249158573860273631197509249967134001707670009725401668362534083190324900139498906458456293377919894857044050833798650238092076077602698300749631596480179965004419751<193>
prime factors 素因数
1098030299815479062224309849131229620705773101<46>
3728134491596071129747211227116397000149088083809077600550942537693673964032469543082141030766695387071061738236821325520183462972030341808580031651<148>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2284974656
Step 1 took 86981ms
Step 2 took 30185ms
********** Factor found in step 2: 1098030299815479062224309849131229620705773101
Found probable prime factor of 46 digits: 1098030299815479062224309849131229620705773101

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62100300CypDecember 29, 2013 21:44:08 UTC 2013 年 12 月 30 日 (月) 6 時 44 分 8 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:07:12 UTC 2014 年 1 月 9 日 (木) 14 時 7 分 12 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:35:52 UTC 2014 年 2 月 26 日 (水) 20 時 35 分 52 秒 (日本時間)
4511e61500 / 4011Dmitry DomanovApril 18, 2014 11:54:45 UTC 2014 年 4 月 18 日 (金) 20 時 54 分 45 秒 (日本時間)

76×10211+239

c206

name 名前Serge Batalov
date 日付November 27, 2013 17:21:14 UTC 2013 年 11 月 28 日 (木) 2 時 21 分 14 秒 (日本時間)
composite number 合成数
77791913387302496823582168169125351739718903015286213338385713392277084969138617308107053546323497876536658978573752824179118746592125636396707232078764721735766869099649700966861361401474545718256318827291<206>
prime factors 素因数
42880030942767687244834376936082701<35>
composite cofactor 合成数の残り
1814175775459023623315433965429354372804842833172208177449978613265132387204636400688766195286549320414009287024784506941560796344665490390494755437264425561249183136251591<172>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3402434132
Step 1 took 5802ms
Step 2 took 3044ms
********** Factor found in step 2: 42880030942767687244834376936082701
Found probable prime factor of 35 digits: 42880030942767687244834376936082701
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62100300CypDecember 29, 2013 18:44:10 UTC 2013 年 12 月 30 日 (月) 3 時 44 分 10 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:07:13 UTC 2014 年 1 月 9 日 (木) 14 時 7 分 13 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:36:01 UTC 2014 年 2 月 26 日 (水) 20 時 36 分 1 秒 (日本時間)
4511e61500 / 3176Dmitry DomanovApril 18, 2014 11:55:05 UTC 2014 年 4 月 18 日 (金) 20 時 55 分 5 秒 (日本時間)
5043e6238 / 713738CypJanuary 11, 2014 10:37:59 UTC 2014 年 1 月 11 日 (土) 19 時 37 分 59 秒 (日本時間)
200Dmitry DomanovSeptember 9, 2014 06:17:06 UTC 2014 年 9 月 9 日 (火) 15 時 17 分 6 秒 (日本時間)

76×10212+239

c202

name 名前Dmitry Domanov
date 日付April 21, 2014 06:24:09 UTC 2014 年 4 月 21 日 (月) 15 時 24 分 9 秒 (日本時間)
composite number 合成数
6602298164939492458888025344488620662884299330155937159522081388640287793308147273970245721435102123639992647372227705452262237334624919399848428540320181756513019160710027808475923011495498073407705867<202>
prime factors 素因数
2106024138895793220137472767296860352992761<43>
3134958447532863906888131173153965751666871468483633714547336175095773766093438018570989009523454632322593150074533140979071116198881192578401424039888604570147<160>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2779891764
Step 1 took 98118ms
Step 2 took 33822ms
********** Factor found in step 2: 2106024138895793220137472767296860352992761
Found probable prime factor of 43 digits: 2106024138895793220137472767296860352992761

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62100300CypDecember 29, 2013 21:44:44 UTC 2013 年 12 月 30 日 (月) 6 時 44 分 44 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:07:14 UTC 2014 年 1 月 9 日 (木) 14 時 7 分 14 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:36:08 UTC 2014 年 2 月 26 日 (水) 20 時 36 分 8 秒 (日本時間)
4511e61500 / 4011Dmitry DomanovApril 18, 2014 11:55:33 UTC 2014 年 4 月 18 日 (金) 20 時 55 分 33 秒 (日本時間)

76×10213+239

c179

composite cofactor 合成数の残り
35110755431977256176991695646766809399371984933313762414338581282710381884133392750879630514787598390376983922430027835573071868738088498348754135466468063576633849909970143985251<179>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62100300CypDecember 29, 2013 21:45:02 UTC 2013 年 12 月 30 日 (月) 6 時 45 分 2 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:07:14 UTC 2014 年 1 月 9 日 (木) 14 時 7 分 14 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:36:16 UTC 2014 年 2 月 26 日 (水) 20 時 36 分 16 秒 (日本時間)
4511e61500 / 3176Dmitry DomanovApril 18, 2014 11:55:21 UTC 2014 年 4 月 18 日 (金) 20 時 55 分 21 秒 (日本時間)
5043e6238 / 713738CypJanuary 12, 2014 19:41:56 UTC 2014 年 1 月 13 日 (月) 4 時 41 分 56 秒 (日本時間)
200Dmitry DomanovSeptember 15, 2014 13:28:23 UTC 2014 年 9 月 15 日 (月) 22 時 28 分 23 秒 (日本時間)

76×10214+239

c177

composite cofactor 合成数の残り
159666730054473892128034317204920684132340991359917932081006180525055724867476085283270897761436983430921924430356049167600781009768746358918939850533377975062138688373177287321<177>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62100300CypDecember 29, 2013 21:45:22 UTC 2013 年 12 月 30 日 (月) 6 時 45 分 22 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:07:15 UTC 2014 年 1 月 9 日 (木) 14 時 7 分 15 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:36:25 UTC 2014 年 2 月 26 日 (水) 20 時 36 分 25 秒 (日本時間)
4511e61500 / 3309Dmitry DomanovApril 18, 2014 11:55:57 UTC 2014 年 4 月 18 日 (金) 20 時 55 分 57 秒 (日本時間)
5043e6200 / 7137Dmitry DomanovSeptember 15, 2014 13:28:46 UTC 2014 年 9 月 15 日 (月) 22 時 28 分 46 秒 (日本時間)

76×10215+239

c179

name 名前Cyp
date 日付December 29, 2013 21:43:03 UTC 2013 年 12 月 30 日 (月) 6 時 43 分 3 秒 (日本時間)
composite number 合成数
18078060941082341147537708967272190967926717228437064587891051078995127584665988464418293195004917292662657521031336326676592733168286084678925691862514944623683580825481175326349<179>
prime factors 素因数
6555480220946141850384013565290900507<37>
2757702003785950538779593440985024650575272245351232197067642819039618357928047996408496945411156877689775990531353210460255041737909021260407<142>
factorization results 素因数分解の結果
Run 11 out of 300:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2652553456
Step 1 took 16020ms
Step 2 took 5525ms
********** Factor found in step 2: 6555480220946141850384013565290900507
Found probable prime factor of 37 digits: 6555480220946141850384013565290900507
Probable prime cofactor 2757702003785950538779593440985024650575272245351232197067642819039618357928047996408496945411156877689775990531353210460255041737909021260407 has 142 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
3025e40--
351e6118 / 874Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e611 / 2318CypDecember 29, 2013 21:42:13 UTC 2013 年 12 月 30 日 (月) 6 時 42 分 13 秒 (日本時間)

76×10217+239

c205

composite cofactor 合成数の残り
3635774534582274497508549221177764691641935463642401882137810076252932290569607663106682408250312717149287100511266735083480153919228722861044511885342316934693786014691360592959641331792420206946293339413<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62100300CypDecember 30, 2013 06:03:09 UTC 2013 年 12 月 30 日 (月) 15 時 3 分 9 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:07:16 UTC 2014 年 1 月 9 日 (木) 14 時 7 分 16 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:36:33 UTC 2014 年 2 月 26 日 (水) 20 時 36 分 33 秒 (日本時間)
4511e61500 / 4011Dmitry DomanovApril 18, 2014 11:56:13 UTC 2014 年 4 月 18 日 (金) 20 時 56 分 13 秒 (日本時間)

76×10218+239

c198

composite cofactor 合成数の残り
106445894315922603469984903462960043968163170460422859128691261146434472171989656814146753882500208222055035485641450291588524206511704405004214227832039812659477488659225622853795880180182014223391<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62100300CypDecember 30, 2013 06:03:39 UTC 2013 年 12 月 30 日 (月) 15 時 3 分 39 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:07:16 UTC 2014 年 1 月 9 日 (木) 14 時 7 分 16 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:36:40 UTC 2014 年 2 月 26 日 (水) 20 時 36 分 40 秒 (日本時間)
4511e61500 / 4011Dmitry DomanovApril 18, 2014 11:56:29 UTC 2014 年 4 月 18 日 (金) 20 時 56 分 29 秒 (日本時間)

76×10219+239

c207

name 名前Cyp
date 日付December 29, 2013 21:47:30 UTC 2013 年 12 月 30 日 (月) 6 時 47 分 30 秒 (日本時間)
composite number 合成数
731473737539191658963420575997067143237304607720087714160820794698875883373816044500417948444293072438859896162260359426076296469573224768807808476725908451264043276225643130802662281297892328322736969041561<207>
prime factors 素因数
1545781492569820122326275336065823763<37>
25501681468358450052632799318598558588753<41>
composite cofactor 合成数の残り
18555891223169707283232784363620542675402634620450642743766547228530095336205427397007361228569464365849420126219946283253353646899<131>
factorization results 素因数分解の結果
Run 167 out of 300:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2238001287
Step 1 took 18780ms
Step 2 took 6379ms
********** Factor found in step 2: 1545781492569820122326275336065823763
Found probable prime factor of 37 digits: 1545781492569820122326275336065823763
Composite cofactor 473206427334782136629395804638292501443347054916399727852093722911702602170902402199139214203357407253784478814190624250870756157063222236530299377502094971324291314726947 has 171 digits
--
Run 185 out of 300:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2081513736
Step 1 took 13644ms
Step 2 took 5091ms
********** Factor found in step 2: 25501681468358450052632799318598558588753
Found probable prime factor of 41 digits: 25501681468358450052632799318598558588753
Composite cofactor 18555891223169707283232784363620542675402634620450642743766547228530095336205427397007361228569464365849420126219946283253353646899 has 131 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

c131

name 名前Cyp
date 日付January 28, 2014 09:24:54 UTC 2014 年 1 月 28 日 (火) 18 時 24 分 54 秒 (日本時間)
composite number 合成数
18555891223169707283232784363620542675402634620450642743766547228530095336205427397007361228569464365849420126219946283253353646899<131>
prime factors 素因数
12734126384314731051225469693108778775978111323<47>
1457178188998182009875249278308481012799071357438094861362891080167941809733203483913<85>
factorization results 素因数分解の結果
01/27/14 12:25:50 v1.34.3, 
01/27/14 12:25:50 v1.34.3, ****************************
01/27/14 12:25:50 v1.34.3, Starting factorization of 18555891223169707283232784363620542675402634620450642743766547228530095336205427397007361228569464365849420126219946283253353646899
01/27/14 12:25:50 v1.34.3, using pretesting plan: none
01/27/14 12:25:50 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/27/14 12:25:50 v1.34.3, ****************************
01/27/14 12:25:50 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C131
01/27/14 12:25:50 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C131
01/27/14 12:25:50 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C131
01/27/14 12:25:50 v1.34.3, final ECM pretested depth: 0.00
01/27/14 12:25:50 v1.34.3, scheduler: switching to sieve method
01/27/14 12:25:50 v1.34.3, nfs: commencing nfs on c131: 18555891223169707283232784363620542675402634620450642743766547228530095336205427397007361228569464365849420126219946283253353646899
01/27/14 12:25:50 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/27/14 12:25:50 v1.34.3, nfs: commencing lattice sieving with 6 threads
01/27/14 12:42:18 v1.34.3, nfs: commencing lattice sieving with 6 threads
[67 lines snipped]
01/28/14 08:40:26 v1.34.3, nfs: commencing lattice sieving with 6 threads
01/28/14 08:59:12 v1.34.3, nfs: commencing lattice sieving with 6 threads
01/28/14 09:18:19 v1.34.3, nfs: commencing msieve filtering
01/28/14 09:22:51 v1.34.3, nfs: commencing msieve linear algebra
01/28/14 10:15:57 v1.34.3, nfs: commencing msieve sqrt
01/28/14 10:24:53 v1.34.3, prp85 = 1457178188998182009875249278308481012799071357438094861362891080167941809733203483913
01/28/14 10:24:53 v1.34.3, prp47 = 12734126384314731051225469693108778775978111323
01/28/14 10:24:53 v1.34.3, NFS elapsed time = 79143.2380 seconds.
01/28/14 10:24:53 v1.34.3, 
01/28/14 10:24:53 v1.34.3, 
01/28/14 10:24:53 v1.34.3, Total factoring time = 79143.2649 seconds
--
Tue Jan 28 09:18:19 2014  
Tue Jan 28 09:18:19 2014  commencing relation filtering
Tue Jan 28 09:18:19 2014  estimated available RAM is 15988.7 MB
Tue Jan 28 09:18:19 2014  commencing duplicate removal, pass 1
Tue Jan 28 09:19:33 2014  found 2961736 hash collisions in 21089930 relations
Tue Jan 28 09:19:53 2014  added 119710 free relations
Tue Jan 28 09:19:53 2014  commencing duplicate removal, pass 2
Tue Jan 28 09:20:14 2014  found 2028320 duplicates and 19181320 unique relations
Tue Jan 28 09:20:14 2014  memory use: 82.6 MB
Tue Jan 28 09:20:14 2014  reading ideals above 720000
Tue Jan 28 09:20:14 2014  commencing singleton removal, initial pass
Tue Jan 28 09:21:52 2014  memory use: 376.5 MB
Tue Jan 28 09:21:52 2014  reading all ideals from disk
Tue Jan 28 09:21:53 2014  memory use: 592.8 MB
Tue Jan 28 09:21:53 2014  keeping 20010272 ideals with weight <= 200, target excess is 119979
Tue Jan 28 09:21:54 2014  commencing in-memory singleton removal
Tue Jan 28 09:21:55 2014  begin with 19181320 relations and 20010272 unique ideals
Tue Jan 28 09:22:03 2014  reduce to 8383388 relations and 7542431 ideals in 16 passes
Tue Jan 28 09:22:03 2014  max relations containing the same ideal: 117
Tue Jan 28 09:22:06 2014  removing 1901225 relations and 1550334 ideals in 350891 cliques
Tue Jan 28 09:22:06 2014  commencing in-memory singleton removal
Tue Jan 28 09:22:07 2014  begin with 6482163 relations and 7542431 unique ideals
Tue Jan 28 09:22:10 2014  reduce to 6135196 relations and 5626578 ideals in 10 passes
Tue Jan 28 09:22:10 2014  max relations containing the same ideal: 91
Tue Jan 28 09:22:12 2014  removing 1482576 relations and 1131685 ideals in 350891 cliques
Tue Jan 28 09:22:12 2014  commencing in-memory singleton removal
Tue Jan 28 09:22:12 2014  begin with 4652620 relations and 5626578 unique ideals
Tue Jan 28 09:22:14 2014  reduce to 4363729 relations and 4189004 ideals in 9 passes
Tue Jan 28 09:22:14 2014  max relations containing the same ideal: 73
Tue Jan 28 09:22:16 2014  removing 249866 relations and 214317 ideals in 35549 cliques
Tue Jan 28 09:22:16 2014  commencing in-memory singleton removal
Tue Jan 28 09:22:16 2014  begin with 4113863 relations and 4189004 unique ideals
Tue Jan 28 09:22:17 2014  reduce to 4104775 relations and 3965529 ideals in 7 passes
Tue Jan 28 09:22:17 2014  max relations containing the same ideal: 69
Tue Jan 28 09:22:18 2014  relations with 0 large ideals: 488
Tue Jan 28 09:22:18 2014  relations with 1 large ideals: 1718
Tue Jan 28 09:22:18 2014  relations with 2 large ideals: 27387
Tue Jan 28 09:22:18 2014  relations with 3 large ideals: 171958
Tue Jan 28 09:22:18 2014  relations with 4 large ideals: 568086
Tue Jan 28 09:22:18 2014  relations with 5 large ideals: 1057574
Tue Jan 28 09:22:18 2014  relations with 6 large ideals: 1167233
Tue Jan 28 09:22:18 2014  relations with 7+ large ideals: 1110331
Tue Jan 28 09:22:18 2014  commencing 2-way merge
Tue Jan 28 09:22:19 2014  reduce to 2420417 relation sets and 2281171 unique ideals
Tue Jan 28 09:22:19 2014  commencing full merge
Tue Jan 28 09:22:42 2014  memory use: 279.4 MB
Tue Jan 28 09:22:42 2014  found 1260136 cycles, need 1241371
Tue Jan 28 09:22:42 2014  weight of 1241371 cycles is about 87025276 (70.10/cycle)
Tue Jan 28 09:22:42 2014  distribution of cycle lengths:
Tue Jan 28 09:22:42 2014  1 relations: 156178
Tue Jan 28 09:22:42 2014  2 relations: 140745
Tue Jan 28 09:22:42 2014  3 relations: 138346
Tue Jan 28 09:22:42 2014  4 relations: 127596
Tue Jan 28 09:22:42 2014  5 relations: 119736
Tue Jan 28 09:22:42 2014  6 relations: 105087
Tue Jan 28 09:22:42 2014  7 relations: 92202
Tue Jan 28 09:22:42 2014  8 relations: 80030
Tue Jan 28 09:22:42 2014  9 relations: 67390
Tue Jan 28 09:22:42 2014  10+ relations: 214061
Tue Jan 28 09:22:42 2014  heaviest cycle: 20 relations
Tue Jan 28 09:22:42 2014  commencing cycle optimization
Tue Jan 28 09:22:44 2014  start with 7094032 relations
Tue Jan 28 09:22:49 2014  pruned 163888 relations
Tue Jan 28 09:22:49 2014  memory use: 238.1 MB
Tue Jan 28 09:22:50 2014  distribution of cycle lengths:
Tue Jan 28 09:22:50 2014  1 relations: 156178
Tue Jan 28 09:22:50 2014  2 relations: 143813
Tue Jan 28 09:22:50 2014  3 relations: 142868
Tue Jan 28 09:22:50 2014  4 relations: 130745
Tue Jan 28 09:22:50 2014  5 relations: 122431
Tue Jan 28 09:22:50 2014  6 relations: 106924
Tue Jan 28 09:22:50 2014  7 relations: 93224
Tue Jan 28 09:22:50 2014  8 relations: 80402
Tue Jan 28 09:22:50 2014  9 relations: 66903
Tue Jan 28 09:22:50 2014  10+ relations: 197883
Tue Jan 28 09:22:50 2014  heaviest cycle: 20 relations
Tue Jan 28 09:22:51 2014  RelProcTime: 272
Tue Jan 28 09:22:51 2014  
Tue Jan 28 09:22:51 2014  commencing linear algebra
Tue Jan 28 09:22:51 2014  read 1241371 cycles
Tue Jan 28 09:22:53 2014  cycles contain 3999431 unique relations
Tue Jan 28 09:23:24 2014  read 3999431 relations
Tue Jan 28 09:23:28 2014  using 20 quadratic characters above 268434204
Tue Jan 28 09:23:42 2014  building initial matrix
Tue Jan 28 09:24:10 2014  memory use: 509.9 MB
Tue Jan 28 09:24:11 2014  read 1241371 cycles
Tue Jan 28 09:24:11 2014  matrix is 1241210 x 1241371 (376.2 MB) with weight 117527414 (94.68/col)
Tue Jan 28 09:24:11 2014  sparse part has weight 83734187 (67.45/col)
Tue Jan 28 09:24:18 2014  filtering completed in 2 passes
Tue Jan 28 09:24:18 2014  matrix is 1240366 x 1240540 (376.2 MB) with weight 117495613 (94.71/col)
Tue Jan 28 09:24:18 2014  sparse part has weight 83725343 (67.49/col)
Tue Jan 28 09:24:21 2014  matrix starts at (0, 0)
Tue Jan 28 09:24:21 2014  matrix is 1240366 x 1240540 (376.2 MB) with weight 117495613 (94.71/col)
Tue Jan 28 09:24:21 2014  sparse part has weight 83725343 (67.49/col)
Tue Jan 28 09:24:21 2014  saving the first 48 matrix rows for later
Tue Jan 28 09:24:22 2014  matrix includes 64 packed rows
Tue Jan 28 09:24:22 2014  matrix is 1240318 x 1240540 (360.8 MB) with weight 94119051 (75.87/col)
Tue Jan 28 09:24:22 2014  sparse part has weight 82173060 (66.24/col)
Tue Jan 28 09:24:22 2014  using block size 65536 for processor cache size 8192 kB
Tue Jan 28 09:24:25 2014  commencing Lanczos iteration (6 threads)
Tue Jan 28 09:24:25 2014  memory use: 328.3 MB
Tue Jan 28 09:24:29 2014  linear algebra at 0.1%, ETA 0h40m
Tue Jan 28 09:24:31 2014  checkpointing every 1460000 dimensions
Tue Jan 28 10:15:56 2014  lanczos halted after 19616 iterations (dim = 1240318)
Tue Jan 28 10:15:57 2014  recovered 32 nontrivial dependencies
Tue Jan 28 10:15:57 2014  BLanczosTime: 3186
Tue Jan 28 10:15:57 2014  
Tue Jan 28 10:15:57 2014  commencing square root phase
Tue Jan 28 10:15:57 2014  reading relations for dependency 1
Tue Jan 28 10:15:57 2014  read 619183 cycles
Tue Jan 28 10:15:57 2014  cycles contain 1998054 unique relations
Tue Jan 28 10:16:22 2014  read 1998054 relations
Tue Jan 28 10:16:30 2014  multiplying 1998054 relations
Tue Jan 28 10:17:58 2014  multiply complete, coefficients have about 91.97 million bits
Tue Jan 28 10:17:58 2014  initial square root is modulo 3993601
Tue Jan 28 10:19:59 2014  GCD is N, no factor found
Tue Jan 28 10:19:59 2014  reading relations for dependency 2
Tue Jan 28 10:19:59 2014  read 620110 cycles
Tue Jan 28 10:20:00 2014  cycles contain 1999508 unique relations
Tue Jan 28 10:20:21 2014  read 1999508 relations
Tue Jan 28 10:20:27 2014  multiplying 1999508 relations
Tue Jan 28 10:22:43 2014  multiply complete, coefficients have about 92.04 million bits
Tue Jan 28 10:22:43 2014  initial square root is modulo 4039307
Tue Jan 28 10:24:53 2014  sqrtTime: 536
--
# Murphy_E = 7.294e-11, selected by Erik Branger
# expecting poly E from 8.01e-011 to > 9.21e-011
n: 18555891223169707283232784363620542675402634620450642743766547228530095336205427397007361228569464365849420126219946283253353646899
Y0: -16511454544934068845350015
Y1: 120766011952139
c0: 837599004334992270581555909375136
c1: 5035654614537770718164910364
c2: -8280381893034239355886
c3: -19160643174579341
c4: 15995577228
c5: 15120
skew: 736682.33
type: gnfs
# selected mechanically
rlim: 10000000
alim: 10000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
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 KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e6900300CypDecember 29, 2013 21:46:40 UTC 2013 年 12 月 30 日 (月) 6 時 46 分 40 秒 (日本時間)
600Lionel DebrouxJanuary 2, 2014 12:34:46 UTC 2014 年 1 月 2 日 (木) 21 時 34 分 46 秒 (日本時間)
4511e6460 / 4276230Ignacio SantosJanuary 4, 2014 15:02:00 UTC 2014 年 1 月 5 日 (日) 0 時 2 分 0 秒 (日本時間)
230Ignacio SantosJanuary 4, 2014 17:27:36 UTC 2014 年 1 月 5 日 (日) 2 時 27 分 36 秒 (日本時間)

76×10220+239

c218

name 名前Bob Backstrom
date 日付October 17, 2017 05:35:30 UTC 2017 年 10 月 17 日 (火) 14 時 35 分 30 秒 (日本時間)
composite number 合成数
27515296332500633575902393106694181962999167300242569059773360848629665833966909235726440027515296332500633575902393106694181962999167300242569059773360848629665833966909235726440027515296332500633575902393106694181963<218>
prime factors 素因数
125207280582848175359773431451017195903397877074394949926626882055238036377<75>
219757958198717427764508407846846923012266132000325045497585925941322124628013001763705763185249734146787706564750579701984867560700535602220419<144>
factorization results 素因数分解の結果
Number: n
N=27515296332500633575902393106694181962999167300242569059773360848629665833966909235726440027515296332500633575902393106694181962999167300242569059773360848629665833966909235726440027515296332500633575902393106694181963
  ( 218 digits)
SNFS difficulty: 223 digits.
Divisors found:

Tue Oct 17 16:29:46 2017  p75 factor: 125207280582848175359773431451017195903397877074394949926626882055238036377
Tue Oct 17 16:29:46 2017  p144 factor: 219757958198717427764508407846846923012266132000325045497585925941322124628013001763705763185249734146787706564750579701984867560700535602220419
Tue Oct 17 16:29:46 2017  elapsed time 10:22:04 (Msieve 1.53 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.717).
Factorization parameters were as follows:
#
# 76x10^220+23 84(219)7
#
n: 27515296332500633575902393106694181962999167300242569059773360848629665833966909235726440027515296332500633575902393106694181962999167300242569059773360848629665833966909235726440027515296332500633575902393106694181963
m: 10000000000000000000000000000000000000
deg: 6
c6: 19
c0: 575
skew: 1.77
# Murphy_E = 1.506e-12
type: snfs
lss: 1
rlim: 37000000
alim: 37000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 37000000/37000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 88900000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 13926199 hash collisions in 68157691 relations (55832798 unique)
Msieve: matrix is 5060148 x 5060373 (1441.0 MB)

Sieving start time: 2017/10/14 23:46:38
Sieving end time  : 2017/10/17 06:05:34

Total sieving time: 54hrs 18min 56secs.

Total relation processing time: 9hrs 52min 11sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 48sec.

Prototype def-par.txt line would be:
snfs,223,6,0,0,0,0,0,0,0,0,37000000,37000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.178577] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16306368K/16703460K available (9091K kernel code, 1667K rwdata, 3820K rodata, 2232K init, 2364K bss, 397092K reserved, 0K cma-reserved)
[    0.215024] x86/mm: Memory block size: 128MB
[    0.000018] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.38 BogoMIPS (lpj=11976772)
[    0.212835] smpboot: Total of 16 processors activated (95814.17 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e6210Serge BatalovDecember 4, 2013 17:32:05 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 5 秒 (日本時間)
4511e6326060Serge BatalovDecember 4, 2013 17:32:05 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 5 秒 (日本時間)
500Serge BatalovJanuary 4, 2014 22:39:30 UTC 2014 年 1 月 5 日 (日) 7 時 39 分 30 秒 (日本時間)
1800Serge BatalovMay 24, 2014 09:17:34 UTC 2014 年 5 月 24 日 (土) 18 時 17 分 34 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:41 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 41 秒 (日本時間)
5043e6500 / 6813Serge BatalovJanuary 4, 2014 23:01:26 UTC 2014 年 1 月 5 日 (日) 8 時 1 分 26 秒 (日本時間)

76×10221+239

c217

name 名前Dmitry Domanov
date 日付April 28, 2014 05:28:10 UTC 2014 年 4 月 28 日 (月) 14 時 28 分 10 秒 (日本時間)
composite number 合成数
3439650205677504732913424456908650584491612910817564121189738799299578597591249167808313725064233204663260507791939179742994767658417389785234577355243905143499038481991847123841437556544907575241216785311969484871649<217>
prime factors 素因数
8822777568401310630403834884143075904944088361<46>
composite cofactor 合成数の残り
389860242878226630712965419331733627391406897087150136065728676159646697426380204456479258843151635896171923411787852463443323724769690787984232299277641523413730468412409<171>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=286933221
Step 1 took 125884ms
Step 2 took 33168ms
********** Factor found in step 2: 8822777568401310630403834884143075904944088361
Found probable prime factor of 46 digits: 8822777568401310630403834884143075904944088361

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62100300CypDecember 30, 2013 06:04:02 UTC 2013 年 12 月 30 日 (月) 15 時 4 分 2 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:07:17 UTC 2014 年 1 月 9 日 (木) 14 時 7 分 17 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:36:53 UTC 2014 年 2 月 26 日 (水) 20 時 36 分 53 秒 (日本時間)
4511e61500 / 3309Dmitry DomanovApril 21, 2014 12:50:36 UTC 2014 年 4 月 21 日 (月) 21 時 50 分 36 秒 (日本時間)
5043e6200 / 7137Dmitry DomanovSeptember 15, 2014 13:29:03 UTC 2014 年 9 月 15 日 (月) 22 時 29 分 3 秒 (日本時間)

76×10222+239

c200

name 名前Cyp
date 日付December 29, 2013 22:09:03 UTC 2013 年 12 月 30 日 (月) 7 時 9 分 3 秒 (日本時間)
composite number 合成数
67459342502235516859894796526522221053813912778246788289767561065672090027931359159843313127660101408958713420575629068503347563538185164722755494948777067678457607257333326022866519098302772997305263<200>
prime factors 素因数
140356421710035179315159653922616587<36>
composite cofactor 合成数の残り
480628828238446893837326376439026875967743347455852139674979101883331857827816837501775644878319599413652903211104327043734610322385408180223220136116818015882877549<165>
factorization results 素因数分解の結果
Run 58 out of 300:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1247318200
Step 1 took 18984ms
Step 2 took 6151ms
********** Factor found in step 2: 140356421710035179315159653922616587
Found probable prime factor of 36 digits: 140356421710035179315159653922616587
Composite cofactor 480628828238446893837326376439026875967743347455852139674979101883331857827816837501775644878319599413652903211104327043734610322385408180223220136116818015882877549 has 165 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 KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62100300CypDecember 29, 2013 22:08:35 UTC 2013 年 12 月 30 日 (月) 7 時 8 分 35 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:07:18 UTC 2014 年 1 月 9 日 (木) 14 時 7 分 18 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:37:02 UTC 2014 年 2 月 26 日 (水) 20 時 37 分 2 秒 (日本時間)
4511e61500 / 3176Dmitry DomanovApril 18, 2014 11:57:50 UTC 2014 年 4 月 18 日 (金) 20 時 57 分 50 秒 (日本時間)
5043e6238 / 713738CypFebruary 3, 2014 03:55:51 UTC 2014 年 2 月 3 日 (月) 12 時 55 分 51 秒 (日本時間)
200Dmitry DomanovSeptember 15, 2014 13:29:15 UTC 2014 年 9 月 15 日 (月) 22 時 29 分 15 秒 (日本時間)

76×10223+239

c156

composite cofactor 合成数の残り
278315529158091379027698503776790984206460086070892420923463632923203855210879795199457352809324018259813834779530546558219356901568792837108860026653928023<156>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e6810210Serge BatalovDecember 4, 2013 17:31:46 UTC 2013 年 12 月 5 日 (木) 2 時 31 分 46 秒 (日本時間)
600Lionel DebrouxDecember 30, 2013 15:27:11 UTC 2013 年 12 月 31 日 (火) 0 時 27 分 11 秒 (日本時間)
4511e6254860Serge BatalovDecember 4, 2013 17:31:46 UTC 2013 年 12 月 5 日 (木) 2 時 31 分 46 秒 (日本時間)
500Serge BatalovJanuary 4, 2014 22:39:08 UTC 2014 年 1 月 5 日 (日) 7 時 39 分 8 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:53 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 53 秒 (日本時間)
1088Ignacio SantosJanuary 7, 2016 19:02:02 UTC 2016 年 1 月 8 日 (金) 4 時 2 分 2 秒 (日本時間)
5043e6500 / 6950Serge BatalovJanuary 4, 2014 23:01:08 UTC 2014 年 1 月 5 日 (日) 8 時 1 分 8 秒 (日本時間)

76×10224+239

c204

composite cofactor 合成数の残り
391528512034514207074633901220329215354523701227345880855414603703977459278524302638514099037390183292498918027558787368786868961642394511328611337627539607440848416264622520216014420683602136711003662351<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62100300CypDecember 30, 2013 06:04:30 UTC 2013 年 12 月 30 日 (月) 15 時 4 分 30 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:07:19 UTC 2014 年 1 月 9 日 (木) 14 時 7 分 19 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:37:16 UTC 2014 年 2 月 26 日 (水) 20 時 37 分 16 秒 (日本時間)
4511e61500 / 4011Dmitry DomanovApril 21, 2014 12:51:05 UTC 2014 年 4 月 21 日 (月) 21 時 51 分 5 秒 (日本時間)

76×10225+239

c194

name 名前Serge Batalov
date 日付November 26, 2013 23:36:11 UTC 2013 年 11 月 27 日 (水) 8 時 36 分 11 秒 (日本時間)
composite number 合成数
43613693554334927859213319039996987361933587558874974826794936685812276063068568444936937214196839114136031581019890730186585865227817905311641517704543877553898250723942123168275091331542852199<194>
prime factors 素因数
5735806801717390131476615954437<31>
1833720608394634707113259562692997<34>
4146629062886163511500077631997829670248932687754508501615333012291288248161380029447597180188683219415872847442412758175008942591<130>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1158574252
Step 1 took 5442ms
Step 2 took 2533ms
********** Factor found in step 2: 5735806801717390131476615954437
Found probable prime factor of 31 digits: 5735806801717390131476615954437

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1944244005
Step 1 took 6137ms
Step 2 took 3087ms
********** Factor found in step 2: 1833720608394634707113259562692997
Found probable prime factor of 34 digits: 1833720608394634707113259562692997

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)

76×10226+239

c206

name 名前Cyp
date 日付December 30, 2013 06:06:37 UTC 2013 年 12 月 30 日 (月) 15 時 6 分 37 秒 (日本時間)
composite number 合成数
31595439680008152908201802480634926147364441883850876038800405897436846137223317021661260527382451601499121517829235916143890410255597213085495007779916132635046423040496515064707307364509840214369261160629<206>
prime factors 素因数
249313040184903140647150900145482091107<39>
126729992368531462714789684483219076614954679896987811007736084037541962607499448927762268365099842638653337713741137888340743557452816871727847682544924554814427299847<168>
factorization results 素因数分解の結果
Run 233 out of 300:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=950754329
Step 1 took 19286ms
Step 2 took 6398ms
********** Factor found in step 2: 249313040184903140647150900145482091107
Found probable prime factor of 39 digits: 249313040184903140647150900145482091107
Probable prime cofactor 126729992368531462714789684483219076614954679896987811007736084037541962607499448927762268365099842638653337713741137888340743557452816871727847682544924554814427299847 has 168 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
3025e40--
351e6118 / 250Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e6233 / 2318CypDecember 30, 2013 06:06:01 UTC 2013 年 12 月 30 日 (月) 15 時 6 分 1 秒 (日本時間)

76×10227+239

c191

name 名前Dmitry Domanov
date 日付April 28, 2014 06:00:03 UTC 2014 年 4 月 28 日 (月) 15 時 0 分 3 秒 (日本時間)
composite number 合成数
17657215359299702277879170205387657684981960931381582507789060776570103845696200756589049447783641268199425818459789764838800096375506611707071063476992526259466035167321851039464581082673993<191>
prime factors 素因数
48959889622370869971087113719244235814240223<44>
360646551605617288123724595104871287541317975635066069287374472957171282865009375125685239949819379656972653868222806779001779942046246303101931991<147>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2961505789
Step 1 took 83706ms
Step 2 took 30265ms
********** Factor found in step 2: 48959889622370869971087113719244235814240223
Found probable prime factor of 44 digits: 48959889622370869971087113719244235814240223

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62100300CypDecember 30, 2013 06:08:47 UTC 2013 年 12 月 30 日 (月) 15 時 8 分 47 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:07:20 UTC 2014 年 1 月 9 日 (木) 14 時 7 分 20 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:37:24 UTC 2014 年 2 月 26 日 (水) 20 時 37 分 24 秒 (日本時間)
4511e61500 / 3877Dmitry DomanovApril 21, 2014 12:51:20 UTC 2014 年 4 月 21 日 (月) 21 時 51 分 20 秒 (日本時間)
5043e638 / 7137CypJanuary 11, 2014 23:11:32 UTC 2014 年 1 月 12 日 (日) 8 時 11 分 32 秒 (日本時間)

76×10228+239

c195

name 名前Dmitry Domanov
date 日付April 28, 2014 05:27:12 UTC 2014 年 4 月 28 日 (月) 14 時 27 分 12 秒 (日本時間)
composite number 合成数
431116023969337148144866147444119770785862278318575380386193057115399571558038682241197419733428545184360583702694289278132493108653541298452239914097580974271252288309250772658090342975831451517<195>
prime factors 素因数
944651443132963846677550458698274907307<39>
composite cofactor 合成数の残り
456375763889724636823195782371652931620038341735902083285386188702708893570444885872196062641720901182479165447092135158446251749746717310303784210455975031<156>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1436176755
Step 1 took 94597ms
********** Factor found in step 1: 944651443132963846677550458698274907307
Found probable prime factor of 39 digits: 944651443132963846677550458698274907307

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62100300CypDecember 30, 2013 06:09:39 UTC 2013 年 12 月 30 日 (月) 15 時 9 分 39 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:07:20 UTC 2014 年 1 月 9 日 (木) 14 時 7 分 20 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:37:31 UTC 2014 年 2 月 26 日 (水) 20 時 37 分 31 秒 (日本時間)
4511e640641500Dmitry DomanovApril 21, 2014 12:51:33 UTC 2014 年 4 月 21 日 (月) 21 時 51 分 33 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:56 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 56 秒 (日本時間)
1664Ignacio SantosJanuary 23, 2016 01:07:08 UTC 2016 年 1 月 23 日 (土) 10 時 7 分 8 秒 (日本時間)

76×10231+239

c230

name 名前Serge Batalov
date 日付November 27, 2013 17:23:47 UTC 2013 年 11 月 28 日 (木) 2 時 23 分 47 秒 (日本時間)
composite number 合成数
16208146726380891448069950949029643847302196630411601620814672638089144806995094902964384730219663041160162081467263808914480699509490296438473021966304116016208146726380891448069950949029643847302196630411601620814672638089144807<230>
prime factors 素因数
25334060794674535092702976355563219<35>
639776893950929526675214878620500117643871094484584734479983636996122543446894269433278783514324724354984445994020448658426549123198430581169714968718818951922331379083683508300146947646359501853<195>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=348679905
Step 1 took 7008ms
Step 2 took 3534ms
********** Factor found in step 2: 25334060794674535092702976355563219
Found probable prime factor of 35 digits: 25334060794674535092702976355563219
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 KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)

76×10232+239

c216

name 名前Serge Batalov
date 日付November 27, 2013 17:36:01 UTC 2013 年 11 月 28 日 (木) 2 時 36 分 1 秒 (日本時間)
composite number 合成数
439354784369686638074565980972732525610159086207422494954943705029947629574190355576582384169021590448299861653136746791568648945387265606795156973102058283608885331359488281331635746621610341947549602542482369248757<216>
prime factors 素因数
3172258047149044326377745521269<31>
composite cofactor 合成数の残り
138499068436296140228699669215215299080368759039151123047121829895466727030366351374851827497987447512608685893041119391579395594074721277163962578743386437059503470652361842996137223553<186>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=999922305
Step 1 took 6675ms
Step 2 took 3268ms
********** Factor found in step 2: 3172258047149044326377745521269
Found probable prime factor of 31 digits: 3172258047149044326377745521269
Composite cofactor

c186

name 名前Cyp
date 日付December 30, 2013 06:08:19 UTC 2013 年 12 月 30 日 (月) 15 時 8 分 19 秒 (日本時間)
composite number 合成数
138499068436296140228699669215215299080368759039151123047121829895466727030366351374851827497987447512608685893041119391579395594074721277163962578743386437059503470652361842996137223553<186>
prime factors 素因数
64265099568122598328521563170273259<35>
composite cofactor 合成数の残り
2155121043413053379601908993867603335584487957584914732750803503265267304085888831073707424437686864027949247093137310414020084707092942457233736812867<151>
factorization results 素因数分解の結果
Run 26 out of 300:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2469333609
Step 1 took 16047ms
Step 2 took 5664ms
********** Factor found in step 2: 64265099568122598328521563170273259
Found probable prime factor of 35 digits: 64265099568122598328521563170273259
Composite cofactor 2155121043413053379601908993867603335584487957584914732750803503265267304085888831073707424437686864027949247093137310414020084707092942457233736812867 has 151 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

c151

name 名前Serge Batalov
date 日付January 5, 2014 01:03:26 UTC 2014 年 1 月 5 日 (日) 10 時 3 分 26 秒 (日本時間)
composite number 合成数
2155121043413053379601908993867603335584487957584914732750803503265267304085888831073707424437686864027949247093137310414020084707092942457233736812867<151>
prime factors 素因数
7608062228443340510408272338751582736231<40>
4032060400869968501778385254056189215968311681821295681<55>
70253923276963707328260493137287772686455933450511729797<56>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=1346716552
Step 1 took 36245ms
Step 2 took 22939ms
********** Factor found in step 2: 7608062228443340510408272338751582736231
Found probable prime factor of 40 digits: 7608062228443340510408272338751582736231
Composite cofactor 

Divisors found:
 r1=4032060400869968501778385254056189215968311681821295681 (pp55)
 r2=70253923276963707328260493137287772686455933450511729797 (pp56)
Version: Msieve v. 1.51 (SVN 719M)
Total time: 8.47 hours.
Scaled time: 20.33 units (timescale=2.400).
Factorization parameters were as follows:
name: test
type: gnfs
n:  283268062050802296932782677477482708350547834650467220894715133887551672765046327496970708084679569679115106757
skew:  66594.06
Y0:  -3203196177833239091826
Y1:  51044091121
c0:  314962339731240696157189367
c1:  -48643530123153154974787
c2:  -628123150393450257
c3:  20004704125423
c4:  77364886
c5:  840
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, 2300001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 342302 x 342533
Total sieving time: 8.23 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.11 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: 8.47 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e6900300CypDecember 30, 2013 06:07:49 UTC 2013 年 12 月 30 日 (月) 15 時 7 分 49 秒 (日本時間)
600Lionel DebrouxJanuary 2, 2014 14:09:55 UTC 2014 年 1 月 2 日 (木) 23 時 9 分 55 秒 (日本時間)
4511e6500 / 4276Serge BatalovJanuary 4, 2014 22:39:05 UTC 2014 年 1 月 5 日 (日) 7 時 39 分 5 秒 (日本時間)

76×10233+239

c208

name 名前Serge Batalov
date 日付November 27, 2013 17:37:13 UTC 2013 年 11 月 28 日 (木) 2 時 37 分 13 秒 (日本時間)
composite number 合成数
2082785815437249579329578412773795642053076330301782584651870467590501834138722685890444456780229863385498908512486161049769095368031300271737171510270573872278192729141357151275373318886494888999394697828709<208>
prime factors 素因数
582577849294065631709938476292125749<36>
composite cofactor 合成数の残り
3575120162843557771802699421469539846696197788540738816797006706704089471963489635610166222223128578521259107994984786786608227789518727301360560741958535524094473462077041<172>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3098853628
Step 1 took 5818ms
Step 2 took 3036ms
********** Factor found in step 2: 582577849294065631709938476292125749
Found probable prime factor of 36 digits: 582577849294065631709938476292125749
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62100300CypDecember 30, 2013 06:09:07 UTC 2013 年 12 月 30 日 (月) 15 時 9 分 7 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:07:21 UTC 2014 年 1 月 9 日 (木) 14 時 7 分 21 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:37:40 UTC 2014 年 2 月 26 日 (水) 20 時 37 分 40 秒 (日本時間)
4511e61510 / 330910CypJanuary 10, 2014 17:43:27 UTC 2014 年 1 月 11 日 (土) 2 時 43 分 27 秒 (日本時間)
1500Dmitry DomanovApril 18, 2014 11:58:15 UTC 2014 年 4 月 18 日 (金) 20 時 58 分 15 秒 (日本時間)
5043e6200 / 7134Dmitry DomanovSeptember 15, 2014 13:29:44 UTC 2014 年 9 月 15 日 (月) 22 時 29 分 44 秒 (日本時間)

76×10234+239

c218

composite cofactor 合成数の残り
41184042711284522492667150126103410550947428197327139787361794500646600307694126084208332219351604160432800162966960018195741966869945546865848628673214450548704591955029689175033307776757399081983299823280987058089733<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e6300CypDecember 30, 2013 06:35:16 UTC 2013 年 12 月 30 日 (月) 15 時 35 分 16 秒 (日本時間)
4511e62095 / 4409595CypJanuary 8, 2014 01:05:59 UTC 2014 年 1 月 8 日 (水) 10 時 5 分 59 秒 (日本時間)
1500Dmitry DomanovApril 21, 2014 12:51:50 UTC 2014 年 4 月 21 日 (月) 21 時 51 分 50 秒 (日本時間)

76×10235+239

c229

composite cofactor 合成数の残り
1729885479464425907765542639206291577100423364205666257642073542616836140929499926230627043812748081937691887689069910478722339179551872301602000736380382296542290563806346777290840053124692027748337289274142579359992948986785703<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62100300CypDecember 30, 2013 06:35:40 UTC 2013 年 12 月 30 日 (月) 15 時 35 分 40 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:07:22 UTC 2014 年 1 月 9 日 (木) 14 時 7 分 22 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:37:53 UTC 2014 年 2 月 26 日 (水) 20 時 37 分 53 秒 (日本時間)
4511e61564 / 401164CypMarch 8, 2014 15:00:37 UTC 2014 年 3 月 9 日 (日) 0 時 0 分 37 秒 (日本時間)
1500Dmitry DomanovApril 18, 2014 06:25:20 UTC 2014 年 4 月 18 日 (金) 15 時 25 分 20 秒 (日本時間)

76×10236+239

c223

composite cofactor 合成数の残り
3434753070385483056527539043240506607346916372858571790062262680500976707955268746898326554260706027234895969378854112110294115122242919211007638793177322081507957486325643501194713030820527225180585634177972834633230755011<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62100300CypDecember 30, 2013 06:35:59 UTC 2013 年 12 月 30 日 (月) 15 時 35 分 59 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:07:22 UTC 2014 年 1 月 9 日 (木) 14 時 7 分 22 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:38:00 UTC 2014 年 2 月 26 日 (水) 20 時 38 分 0 秒 (日本時間)
4511e61500 / 3877Dmitry DomanovApril 21, 2014 12:52:13 UTC 2014 年 4 月 21 日 (月) 21 時 52 分 13 秒 (日本時間)
5043e638 / 7137CypFebruary 2, 2014 15:00:15 UTC 2014 年 2 月 3 日 (月) 0 時 0 分 15 秒 (日本時間)

76×10239+239

c142

name 名前Serge Batalov
date 日付November 26, 2013 23:24:24 UTC 2013 年 11 月 27 日 (水) 8 時 24 分 24 秒 (日本時間)
composite number 合成数
7540716702906563263999723725956258753577045517391854216040948118184440118509039676093911545275283576878170966329081231740493788385925774213751<142>
prime factors 素因数
23534770379096635700814761254249<32>
composite cofactor 合成数の残り
320407489915608343895005900977849912609855915210070071124283098888719637708829056113250075366714838265475531999<111>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1775978600
Step 1 took 3418ms
Step 2 took 2128ms
********** Factor found in step 2: 23534770379096635700814761254249
Found probable prime factor of 32 digits: 23534770379096635700814761254249
Composite cofactor 

c111

name 名前Serge Batalov
date 日付November 28, 2013 07:53:11 UTC 2013 年 11 月 28 日 (木) 16 時 53 分 11 秒 (日本時間)
composite number 合成数
320407489915608343895005900977849912609855915210070071124283098888719637708829056113250075366714838265475531999<111>
prime factors 素因数
252714152796791360577672541942727118431531759<45>
1267865239717102485466183391485197695474845491550866199367028313361<67>
factorization results 素因数分解の結果
Divisors found:
 r1=252714152796791360577672541942727118431531759 (pp45)
 r2=1267865239717102485466183391485197695474845491550866199367028313361 (pp67)
Version: Msieve v. 1.51 (SVN 719M)
Total time: 9.48 hours.
Scaled time: 22.76 units (timescale=2.400).
Factorization parameters were as follows:
name: test
type: gnfs
n:  320407489915608343895005900977849912609855915210070071124283098888719637708829056113250075366714838265475531999
skew:  35789.16
Y0:  -1852154353931339436450
Y1:  29121689633
c0:  84385553453199856794526493
c1:  -29629799500873612434175
c2:  -841508753582330580
c3:  -7983505196870
c4:  -1204307648
c5:  14700
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 : 342932 x 343161
Total sieving time: 9.24 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.11 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: 9.48 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)

76×10242+239

c213

composite cofactor 合成数の残り
907622328322562061468944357146402135680183737982605098330671389306058287309882084287379075945561565978549233623145029004665503191162151073064003470489473218170316780143202507135128584942069078981248376628710618509<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e6600300CypDecember 30, 2013 06:36:30 UTC 2013 年 12 月 30 日 (月) 15 時 36 分 30 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:07:23 UTC 2014 年 1 月 9 日 (木) 14 時 7 分 23 秒 (日本時間)
4511e61998 / 4342498CypFebruary 19, 2014 17:45:56 UTC 2014 年 2 月 20 日 (木) 2 時 45 分 56 秒 (日本時間)
1500Dmitry DomanovApril 21, 2014 12:52:33 UTC 2014 年 4 月 21 日 (月) 21 時 52 分 33 秒 (日本時間)

76×10243+239

c225

name 名前Serge Batalov
date 日付November 27, 2013 17:32:37 UTC 2013 年 11 月 28 日 (木) 2 時 32 分 37 秒 (日本時間)
composite number 合成数
165539201111107493061066731175023721653439930853828646378621233657052022000294350467262659915372146153972315219465825061076327381287832938108544786444159148134982364571280691316652975897094881670742428665225057428268523659431<225>
prime factors 素因数
98370991491703449514562266211<29>
composite cofactor 合成数の残り
1682805048529667103165699107004760317730473595258489097973153489774730510570642302846357764754862762108292966059608532299818588259378801266267990808448263519651022658225910246959648250592091479021<196>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1070154572
Step 1 took 6674ms
Step 2 took 3382ms
********** Factor found in step 2: 98370991491703449514562266211
Found probable prime factor of 29 digits: 98370991491703449514562266211
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62100300CypDecember 30, 2013 06:36:14 UTC 2013 年 12 月 30 日 (月) 15 時 36 分 14 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:07:24 UTC 2014 年 1 月 9 日 (木) 14 時 7 分 24 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:38:15 UTC 2014 年 2 月 26 日 (水) 20 時 38 分 15 秒 (日本時間)
4511e61500 / 4011Dmitry DomanovApril 21, 2014 12:52:48 UTC 2014 年 4 月 21 日 (月) 21 時 52 分 48 秒 (日本時間)

76×10244+239

c222

name 名前Cyp
date 日付December 30, 2013 06:37:56 UTC 2013 年 12 月 30 日 (月) 15 時 37 分 56 秒 (日本時間)
composite number 合成数
874023117331016782366466923875963143559698998069234189455096301986110430852277660279310232034015012788416222488447776644156699505756653154924264300213018951469367007659063011434393090050173221745674660047731363262429495543<222>
prime factors 素因数
31556186100456956742822107765854351<35>
composite cofactor 合成数の残り
27697362239803760250121042298001119801381789284602797825106086420372871983646310152571109807656256260488276184904258936147180822491462777688692553474341610419496304982074199032782229875993<188>
factorization results 素因数分解の結果
Run 196 out of 300:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4233666038
Step 1 took 22043ms
Step 2 took 7012ms
********** Factor found in step 2: 31556186100456956742822107765854351
Found probable prime factor of 35 digits: 31556186100456956742822107765854351
Composite cofactor 27697362239803760250121042298001119801381789284602797825106086420372871983646310152571109807656256260488276184904258936147180822491462777688692553474341610419496304982074199032782229875993 has 188 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 KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62100300CypDecember 30, 2013 06:37:34 UTC 2013 年 12 月 30 日 (月) 15 時 37 分 34 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:07:25 UTC 2014 年 1 月 9 日 (木) 14 時 7 分 25 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:38:24 UTC 2014 年 2 月 26 日 (水) 20 時 38 分 24 秒 (日本時間)
4511e61500 / 4011Dmitry DomanovApril 21, 2014 12:53:00 UTC 2014 年 4 月 21 日 (月) 21 時 53 分 0 秒 (日本時間)

76×10245+239

c190

name 名前Serge Batalov
date 日付November 26, 2013 23:38:29 UTC 2013 年 11 月 27 日 (水) 8 時 38 分 29 秒 (日本時間)
composite number 合成数
3176407388758073376708994871142699865624781778295002993945518329107424936590922591605205492711084756518536235934565293253428700975062978350702203097900348739030851194070835984597302157612633<190>
prime factors 素因数
2682631070015945345684848354081<31>
composite cofactor 合成数の残り
1184064191405638593406726447932742816765534990551069063463078947492159521108981814686698877454438751576997954232804016813150881203411801608980825990546013275193<160>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=750797247
Step 1 took 4562ms
Step 2 took 2329ms
********** Factor found in step 2: 2682631070015945345684848354081
Found probable prime factor of 31 digits: 2682631070015945345684848354081
Composite cofactor 

c160

name 名前Serge Batalov
date 日付November 27, 2013 18:26:50 UTC 2013 年 11 月 28 日 (木) 3 時 26 分 50 秒 (日本時間)
composite number 合成数
1184064191405638593406726447932742816765534990551069063463078947492159521108981814686698877454438751576997954232804016813150881203411801608980825990546013275193<160>
prime factors 素因数
193041779529885257227821812678860193<36>
6133719831474775637776955524332924757091666040790009002453007024089132405629658075565598912654364698856861067151118756655001<124>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3818401102
Step 1 took 12160ms
Step 2 took 10213ms
********** Factor found in step 2: 193041779529885257227821812678860193
Found probable prime factor of 36 digits: 193041779529885257227821812678860193
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 KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)

76×10246+239

c237

composite cofactor 合成数の残り
134650036688153165614437763722972612508994871885532318744147126072703256673583536522421000791863306858676471765660497767883882725878692377834777339127288460464768312827371251449930815907842768936995571764879480959093056228101063088857511<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62100300CypDecember 30, 2013 06:38:36 UTC 2013 年 12 月 30 日 (月) 15 時 38 分 36 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:07:25 UTC 2014 年 1 月 9 日 (木) 14 時 7 分 25 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:38:32 UTC 2014 年 2 月 26 日 (水) 20 時 38 分 32 秒 (日本時間)
4511e61500 / 4011Dmitry DomanovApril 18, 2014 06:24:57 UTC 2014 年 4 月 18 日 (金) 15 時 24 分 57 秒 (日本時間)

76×10248+239

c220

composite cofactor 合成数の残り
1250245716036145022464333662926702678051978525627120654567967491457897091668971306517883371412739692268433112466660815283839638161817220217464769593048687672345960905472015527793724317613541413942666674125418866762471793<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e6600300CypDecember 30, 2013 06:38:20 UTC 2013 年 12 月 30 日 (月) 15 時 38 分 20 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:07:26 UTC 2014 年 1 月 9 日 (木) 14 時 7 分 26 秒 (日本時間)
4511e62008 / 4342508CypJanuary 10, 2014 12:02:38 UTC 2014 年 1 月 10 日 (金) 21 時 2 分 38 秒 (日本時間)
1500Dmitry DomanovApril 18, 2014 06:24:16 UTC 2014 年 4 月 18 日 (金) 15 時 24 分 16 秒 (日本時間)

76×10249+239

c214

composite cofactor 合成数の残り
2610071374110923905121436735800520201119473808017381975725043585172006419713614129414370816077173896743948314022811992351702115236885181809838823527813047823025945645287282247061173019476236425532261187852720943857<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62100300CypDecember 30, 2013 06:38:53 UTC 2013 年 12 月 30 日 (月) 15 時 38 分 53 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:07:27 UTC 2014 年 1 月 9 日 (木) 14 時 7 分 27 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:38:45 UTC 2014 年 2 月 26 日 (水) 20 時 38 分 45 秒 (日本時間)
4511e61500 / 4011Dmitry DomanovApril 18, 2014 06:24:03 UTC 2014 年 4 月 18 日 (金) 15 時 24 分 3 秒 (日本時間)

76×10250+239

c241

name 名前Dmitry Domanov
date 日付February 24, 2014 06:14:38 UTC 2014 年 2 月 24 日 (月) 15 時 14 分 38 秒 (日本時間)
composite number 合成数
6786048061547703832060266998054066154151135069365226457658589336494421599064977217487955301971643593433894124297422375218876025592896409062773140061231415096638178251250483673198237738397108851732857240102117235911622016754596531281801520371<241>
prime factors 素因数
6055267094203938732678445225715186099<37>
composite cofactor 合成数の残り
1120685174737091905692387040905899974632076779506768171441941318660110420823384282952517996012575550847005973702050867902843172954777135876751985021177745977701749190745627260751562751177357360571420526529<205>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2992968753
Step 1 took 35014ms
Step 2 took 12591ms
********** Factor found in step 2: 6055267094203938732678445225715186099
Found probable prime factor of 37 digits: 6055267094203938732678445225715186099

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62100300CypDecember 30, 2013 06:39:16 UTC 2013 年 12 月 30 日 (月) 15 時 39 分 16 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:07:28 UTC 2014 年 1 月 9 日 (木) 14 時 7 分 28 秒 (日本時間)
1500Dmitry DomanovFebruary 24, 2014 06:14:26 UTC 2014 年 2 月 24 日 (月) 15 時 14 分 26 秒 (日本時間)
4511e61500Dmitry DomanovFebruary 28, 2014 19:21:45 UTC 2014 年 3 月 1 日 (土) 4 時 21 分 45 秒 (日本時間)
5043e6720 / 7137400Dmitry DomanovMarch 7, 2014 08:52:14 UTC 2014 年 3 月 7 日 (金) 17 時 52 分 14 秒 (日本時間)
320Dmitry DomanovMarch 11, 2014 11:46:50 UTC 2014 年 3 月 11 日 (火) 20 時 46 分 50 秒 (日本時間)