Table of contents 目次

38×10101+439

c96

name 名前Sinkiti Sibata
date 日付December 21, 2008 05:22:14 UTC 2008 年 12 月 21 日 (日) 14 時 22 分 14 秒 (日本時間)
composite number 合成数
280280572654514438616821274593606077308905258749492821240074840813542390186993609529185431635401<96>
prime factors 素因数
149610333136568974573076601882886309<36>
1873403840352829086869098148580338599604466026363314354447189<61>
factorization results 素因数分解の結果
Sun Dec 21 06:00:54 2008  Msieve v. 1.39
Sun Dec 21 06:00:54 2008  random seeds: 2932d9f0 724ffcd1
Sun Dec 21 06:00:54 2008  factoring 280280572654514438616821274593606077308905258749492821240074840813542390186993609529185431635401 (96 digits)
Sun Dec 21 06:00:55 2008  searching for 15-digit factors
Sun Dec 21 06:00:56 2008  commencing quadratic sieve (96-digit input)
Sun Dec 21 06:00:57 2008  using multiplier of 1
Sun Dec 21 06:00:57 2008  using 32kb Intel Core sieve core
Sun Dec 21 06:00:57 2008  sieve interval: 36 blocks of size 32768
Sun Dec 21 06:00:57 2008  processing polynomials in batches of 6
Sun Dec 21 06:00:57 2008  using a sieve bound of 2245951 (83529 primes)
Sun Dec 21 06:00:57 2008  using large prime bound of 336892650 (28 bits)
Sun Dec 21 06:00:57 2008  using double large prime bound of 2236066681946550 (43-51 bits)
Sun Dec 21 06:00:57 2008  using trial factoring cutoff of 51 bits
Sun Dec 21 06:00:57 2008  polynomial 'A' values have 12 factors
Sun Dec 21 10:26:20 2008  83888 relations (20624 full + 63264 combined from 1250885 partial), need 83625
Sun Dec 21 10:26:21 2008  begin with 1271509 relations
Sun Dec 21 10:26:23 2008  reduce to 219257 relations in 14 passes
Sun Dec 21 10:26:23 2008  attempting to read 219257 relations
Sun Dec 21 10:26:26 2008  recovered 219257 relations
Sun Dec 21 10:26:26 2008  recovered 203786 polynomials
Sun Dec 21 10:26:26 2008  attempting to build 83888 cycles
Sun Dec 21 10:26:26 2008  found 83888 cycles in 5 passes
Sun Dec 21 10:26:26 2008  distribution of cycle lengths:
Sun Dec 21 10:26:26 2008     length 1 : 20624
Sun Dec 21 10:26:26 2008     length 2 : 14487
Sun Dec 21 10:26:26 2008     length 3 : 14122
Sun Dec 21 10:26:26 2008     length 4 : 11284
Sun Dec 21 10:26:26 2008     length 5 : 8549
Sun Dec 21 10:26:26 2008     length 6 : 5869
Sun Dec 21 10:26:26 2008     length 7 : 3664
Sun Dec 21 10:26:26 2008     length 9+: 5289
Sun Dec 21 10:26:26 2008  largest cycle: 18 relations
Sun Dec 21 10:26:27 2008  matrix is 83529 x 83888 (22.8 MB) with weight 5628323 (67.09/col)
Sun Dec 21 10:26:27 2008  sparse part has weight 5628323 (67.09/col)
Sun Dec 21 10:26:28 2008  filtering completed in 3 passes
Sun Dec 21 10:26:28 2008  matrix is 79673 x 79736 (21.7 MB) with weight 5371984 (67.37/col)
Sun Dec 21 10:26:28 2008  sparse part has weight 5371984 (67.37/col)
Sun Dec 21 10:26:28 2008  saving the first 48 matrix rows for later
Sun Dec 21 10:26:28 2008  matrix is 79625 x 79736 (15.2 MB) with weight 4447552 (55.78/col)
Sun Dec 21 10:26:28 2008  sparse part has weight 3513534 (44.06/col)
Sun Dec 21 10:26:28 2008  matrix includes 64 packed rows
Sun Dec 21 10:26:28 2008  using block size 31894 for processor cache size 1024 kB
Sun Dec 21 10:26:29 2008  commencing Lanczos iteration
Sun Dec 21 10:26:29 2008  memory use: 13.8 MB
Sun Dec 21 10:27:14 2008  lanczos halted after 1261 iterations (dim = 79624)
Sun Dec 21 10:27:14 2008  recovered 16 nontrivial dependencies
Sun Dec 21 10:27:15 2008  prp36 factor: 149610333136568974573076601882886309
Sun Dec 21 10:27:15 2008  prp61 factor: 1873403840352829086869098148580338599604466026363314354447189
Sun Dec 21 10:27:15 2008  elapsed time 04:26:21

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 20, 2008 17:00:00 UTC 2008 年 12 月 21 日 (日) 2 時 0 分 0 秒 (日本時間)

38×10102+439

c100

name 名前Serge Batalov
date 日付December 20, 2008 20:50:29 UTC 2008 年 12 月 21 日 (日) 5 時 50 分 29 秒 (日本時間)
composite number 合成数
4973171050909566810626881298259390132181651616280591545609213453736421934301792959036775291192252323<100>
prime factors 素因数
2339819275170388413017198578896211823485991939<46>
2125450928489942711483795575495927297447161644376716257<55>
factorization results 素因数分解の結果
SNFS difficulty: 103 digits.
Divisors found:
 r1=2339819275170388413017198578896211823485991939 (pp46)
 r2=2125450928489942711483795575495927297447161644376716257 (pp55)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.732).
Factorization parameters were as follows:
n: 4973171050909566810626881298259390132181651616280591545609213453736421934301792959036775291192252323
m: 20000000000000000000000000
deg: 4
c4: 475
c0: 86
skew: 0.65
type: snfs
lss: 1
rlim: 380000
alim: 380000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 380000/380000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [190000, 250001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 37602 x 37840
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,103,4,0,0,0,0,0,0,0,0,380000,380000,25,25,44,44,2.2,2.2,20000
total time: 0.30 hours.
software ソフトウェア
Msieve-1.39
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 20, 2008 17:00:00 UTC 2008 年 12 月 21 日 (日) 2 時 0 分 0 秒 (日本時間)

38×10113+439

c99

name 名前Serge Batalov
date 日付December 20, 2008 21:24:23 UTC 2008 年 12 月 21 日 (日) 6 時 24 分 23 秒 (日本時間)
composite number 合成数
816688124816270146188018767143009804753821509031817108709323199602796756189812586828039616230570203<99>
prime factors 素因数
49735454513288675927478118921779346906991<41>
16420642634281376632440806439033280504579372286731350984533<59>
factorization results 素因数分解の結果
SNFS difficulty: 115 digits.
Divisors found:
 r1=49735454513288675927478118921779346906991 (pp41)
 r2=16420642634281376632440806439033280504579372286731350984533 (pp59)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.727).
Factorization parameters were as follows:
n: 816688124816270146188018767143009804753821509031817108709323199602796756189812586828039616230570203
m: 50000000000000000000000
deg: 5
c5: 304
c0: 1075
skew: 1.29
type: snfs
lss: 1
rlim: 600000
alim: 600000
lpbr: 25
lpba: 25
mfbr: 47
mfba: 47
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: 47/47
Sieved rational special-q in [300000, 550001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 69513 x 69761
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,115,5,0,0,0,0,0,0,0,0,600000,600000,25,25,47,47,2.2,2.2,50000
total time: 0.90 hours.
software ソフトウェア
Msieve-1.39
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 20, 2008 17:00:00 UTC 2008 年 12 月 21 日 (日) 2 時 0 分 0 秒 (日本時間)

38×10114+439

c98

name 名前Sinkiti Sibata
date 日付December 21, 2008 12:53:03 UTC 2008 年 12 月 21 日 (日) 21 時 53 分 3 秒 (日本時間)
composite number 合成数
28013809653714889828606582246638760452158805911349423981945536736639371761734654695622944462059877<98>
prime factors 素因数
8392236225335848609185007290798128808749<40>
3338062573732403028949060455916560045484897247255070478873<58>
factorization results 素因数分解の結果
Sun Dec 21 14:24:23 2008  Msieve v. 1.39
Sun Dec 21 14:24:23 2008  random seeds: 4496b508 55cd2144
Sun Dec 21 14:24:23 2008  factoring 28013809653714889828606582246638760452158805911349423981945536736639371761734654695622944462059877 (98 digits)
Sun Dec 21 14:24:24 2008  searching for 15-digit factors
Sun Dec 21 14:24:26 2008  commencing quadratic sieve (98-digit input)
Sun Dec 21 14:24:26 2008  using multiplier of 13
Sun Dec 21 14:24:26 2008  using 32kb Intel Core sieve core
Sun Dec 21 14:24:26 2008  sieve interval: 36 blocks of size 32768
Sun Dec 21 14:24:26 2008  processing polynomials in batches of 6
Sun Dec 21 14:24:26 2008  using a sieve bound of 2472797 (90588 primes)
Sun Dec 21 14:24:26 2008  using large prime bound of 370919550 (28 bits)
Sun Dec 21 14:24:26 2008  using double large prime bound of 2658908975208750 (43-52 bits)
Sun Dec 21 14:24:26 2008  using trial factoring cutoff of 52 bits
Sun Dec 21 14:24:26 2008  polynomial 'A' values have 13 factors
Sun Dec 21 21:45:00 2008  90841 relations (22207 full + 68634 combined from 1358298 partial), need 90684
Sun Dec 21 21:45:01 2008  begin with 1380505 relations
Sun Dec 21 21:45:03 2008  reduce to 237264 relations in 13 passes
Sun Dec 21 21:45:03 2008  attempting to read 237264 relations
Sun Dec 21 21:45:07 2008  recovered 237264 relations
Sun Dec 21 21:45:07 2008  recovered 225925 polynomials
Sun Dec 21 21:45:07 2008  attempting to build 90841 cycles
Sun Dec 21 21:45:07 2008  found 90841 cycles in 6 passes
Sun Dec 21 21:45:07 2008  distribution of cycle lengths:
Sun Dec 21 21:45:07 2008     length 1 : 22207
Sun Dec 21 21:45:07 2008     length 2 : 16089
Sun Dec 21 21:45:07 2008     length 3 : 15123
Sun Dec 21 21:45:07 2008     length 4 : 12342
Sun Dec 21 21:45:07 2008     length 5 : 9156
Sun Dec 21 21:45:07 2008     length 6 : 6348
Sun Dec 21 21:45:07 2008     length 7 : 4061
Sun Dec 21 21:45:07 2008     length 9+: 5515
Sun Dec 21 21:45:07 2008  largest cycle: 24 relations
Sun Dec 21 21:45:08 2008  matrix is 90588 x 90841 (24.3 MB) with weight 6018077 (66.25/col)
Sun Dec 21 21:45:08 2008  sparse part has weight 6018077 (66.25/col)
Sun Dec 21 21:45:09 2008  filtering completed in 3 passes
Sun Dec 21 21:45:09 2008  matrix is 86557 x 86621 (23.3 MB) with weight 5762657 (66.53/col)
Sun Dec 21 21:45:09 2008  sparse part has weight 5762657 (66.53/col)
Sun Dec 21 21:45:09 2008  saving the first 48 matrix rows for later
Sun Dec 21 21:45:09 2008  matrix is 86509 x 86621 (14.0 MB) with weight 4514781 (52.12/col)
Sun Dec 21 21:45:09 2008  sparse part has weight 3151662 (36.38/col)
Sun Dec 21 21:45:09 2008  matrix includes 64 packed rows
Sun Dec 21 21:45:09 2008  using block size 34648 for processor cache size 1024 kB
Sun Dec 21 21:45:10 2008  commencing Lanczos iteration
Sun Dec 21 21:45:10 2008  memory use: 13.8 MB
Sun Dec 21 21:45:59 2008  lanczos halted after 1370 iterations (dim = 86505)
Sun Dec 21 21:45:59 2008  recovered 16 nontrivial dependencies
Sun Dec 21 21:46:00 2008  prp40 factor: 8392236225335848609185007290798128808749
Sun Dec 21 21:46:00 2008  prp58 factor: 3338062573732403028949060455916560045484897247255070478873
Sun Dec 21 21:46:00 2008  elapsed time 07:21:37

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 20, 2008 17:00:00 UTC 2008 年 12 月 21 日 (日) 2 時 0 分 0 秒 (日本時間)

38×10116+439

c116

name 名前Sinkiti Sibata
date 日付December 20, 2008 23:31:06 UTC 2008 年 12 月 21 日 (日) 8 時 31 分 6 秒 (日本時間)
composite number 合成数
60317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317461<116>
prime factors 素因数
1259410019485966740729222522666084595106750113901<49>
47893425797961438500296126851957768875428420854455429268527512319561<68>
factorization results 素因数分解の結果
Number: 42227_116
N=60317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317461
  ( 116 digits)
SNFS difficulty: 118 digits.
Divisors found:
 r1=1259410019485966740729222522666084595106750113901
 r2=47893425797961438500296126851957768875428420854455429268527512319561
Version: 
Total time: 1.82 hours.
Scaled time: 3.62 units (timescale=1.985).
Factorization parameters were as follows:
name: 42227_116
n: 60317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317461
m: 200000000000000000000000
deg: 5
c5: 95
c0: 344
skew: 1.29
type: snfs
lss: 1
rlim: 660000
alim: 660000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 660000/660000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [330000, 580001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 77068 x 77307
Total sieving time: 1.82 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,118,5,0,0,0,0,0,0,0,0,660000,660000,25,25,45,45,2.2,2.2,50000
total time: 1.82 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 20, 2008 17:00:00 UTC 2008 年 12 月 21 日 (日) 2 時 0 分 0 秒 (日本時間)

38×10122+439

c117

name 名前Sinkiti Sibata
date 日付December 20, 2008 23:39:51 UTC 2008 年 12 月 21 日 (日) 8 時 39 分 51 秒 (日本時間)
composite number 合成数
390371427112672185902270102305050820709697309077296521718673900043752418633496601046257062255716090668489495772636997<117>
prime factors 素因数
421173275667591299966378819510053262339263564370298327557<57>
926866564584146824501549658874176921660428292030357582201921<60>
factorization results 素因数分解の結果
Number: 42227_122
N=390371427112672185902270102305050820709697309077296521718673900043752418633496601046257062255716090668489495772636997
  ( 117 digits)
SNFS difficulty: 124 digits.
Divisors found:
 r1=421173275667591299966378819510053262339263564370298327557
 r2=926866564584146824501549658874176921660428292030357582201921
Version: 
Total time: 2.34 hours.
Scaled time: 4.65 units (timescale=1.985).
Factorization parameters were as follows:
name: 42227_122
n: 390371427112672185902270102305050820709697309077296521718673900043752418633496601046257062255716090668489495772636997
m: 2000000000000000000000000
deg: 5
c5: 475
c0: 172
skew: 0.82
type: snfs
lss: 1
rlim: 820000
alim: 820000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 820000/820000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [410000, 710001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 91077 x 91317
Total sieving time: 2.34 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,124,5,0,0,0,0,0,0,0,0,820000,820000,25,25,46,46,2.2,2.2,50000
total time: 2.34 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 20, 2008 17:00:00 UTC 2008 年 12 月 21 日 (日) 2 時 0 分 0 秒 (日本時間)

38×10123+439

c105

name 名前Serge Batalov
date 日付December 20, 2008 20:47:01 UTC 2008 年 12 月 21 日 (日) 5 時 47 分 1 秒 (日本時間)
composite number 合成数
907408006599012023613803434737614353762225627847646413472637423212993194474524211688489045149128691590967<105>
prime factors 素因数
6625236622908351129130519627635150409<37>
136962354440508632796329576785523794043541101927468396673154669332863<69>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2291580702
Step 1 took 8167ms
Step 2 took 5212ms
********** Factor found in step 2: 6625236622908351129130519627635150409
Found probable prime factor of 37 digits: 6625236622908351129130519627635150409
Probable prime cofactor 136962354440508632796329576785523794043541101927468396673154669332863 has 69 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 20, 2008 17:00:00 UTC 2008 年 12 月 21 日 (日) 2 時 0 分 0 秒 (日本時間)

38×10129+439

c123

name 名前Sinkiti Sibata
date 日付December 21, 2008 05:35:42 UTC 2008 年 12 月 21 日 (日) 14 時 35 分 42 秒 (日本時間)
composite number 合成数
780220298486415738373901401055962471239385898458475638842840492193351812645781852909460998563306448789737672072710454313451<123>
prime factors 素因数
1232507627891317146613035330415084249<37>
633034863906915936488414072851613985408624063435282028990273697724896163138531480627299<87>
factorization results 素因数分解の結果
Number: 42227_129
N=780220298486415738373901401055962471239385898458475638842840492193351812645781852909460998563306448789737672072710454313451
  ( 123 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=1232507627891317146613035330415084249
 r2=633034863906915936488414072851613985408624063435282028990273697724896163138531480627299
Version: 
Total time: 2.82 hours.
Scaled time: 5.67 units (timescale=2.010).
Factorization parameters were as follows:
name: 42227_129
n: 780220298486415738373901401055962471239385898458475638842840492193351812645781852909460998563306448789737672072710454313451
m: 100000000000000000000000000
deg: 5
c5: 19
c0: 215
skew: 1.62
type: snfs
lss: 1
rlim: 1080000
alim: 1080000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1080000/1080000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [540000, 840001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 148817 x 149065
Total sieving time: 2.82 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,131,5,0,0,0,0,0,0,0,0,1080000,1080000,26,26,47,47,2.3,2.3,50000
total time: 2.82 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 20, 2008 17:00:00 UTC 2008 年 12 月 21 日 (日) 2 時 0 分 0 秒 (日本時間)

38×10134+439

c130

name 名前Sinkiti Sibata
date 日付December 21, 2008 05:42:12 UTC 2008 年 12 月 21 日 (日) 14 時 42 分 12 秒 (日本時間)
composite number 合成数
1693311819361059977550250142260473245004841534978252083330548280998857905738678316651983870759312212387645418722592299976427317041<130>
prime factors 素因数
976249081765964679035742823768959109<36>
2341296925239378772934166687655885634501<40>
740832125045200102183124573455647869445175399351741849<54>
factorization results 素因数分解の結果
Number: 42227_134
N=1693311819361059977550250142260473245004841534978252083330548280998857905738678316651983870759312212387645418722592299976427317041
  ( 130 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=976249081765964679035742823768959109
 r2=2341296925239378772934166687655885634501
 r3=740832125045200102183124573455647869445175399351741849
Version: 
Total time: 4.33 hours.
Scaled time: 8.49 units (timescale=1.960).
Factorization parameters were as follows:
name: 42227_134
n: 1693311819361059977550250142260473245004841534978252083330548280998857905738678316651983870759312212387645418722592299976427317041
m: 1000000000000000000000000000
deg: 5
c5: 19
c0: 215
skew: 1.62
type: snfs
lss: 1
rlim: 1310000
alim: 1310000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1310000/1310000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [655000, 1105001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 170006 x 170254
Total sieving time: 4.33 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,136,5,0,0,0,0,0,0,0,0,1310000,1310000,26,26,48,48,2.3,2.3,75000
total time: 4.33 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 20, 2008 17:00:00 UTC 2008 年 12 月 21 日 (日) 2 時 0 分 0 秒 (日本時間)

38×10139+439

c109

name 名前Sinkiti Sibata
date 日付December 21, 2008 13:21:20 UTC 2008 年 12 月 21 日 (日) 22 時 21 分 20 秒 (日本時間)
composite number 合成数
4884377112489178144273156295792950485073388003515582263988391522853491148860966070259939401017505922337628107<109>
prime factors 素因数
1393980093270082701445581996312139<34>
3503907362859903751937502287009860162839613179165479888499563514926963907713<76>
factorization results 素因数分解の結果
Number: 42227_139
N=4884377112489178144273156295792950485073388003515582263988391522853491148860966070259939401017505922337628107
  ( 109 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=1393980093270082701445581996312139
 r2=3503907362859903751937502287009860162839613179165479888499563514926963907713
Version: 
Total time: 6.96 hours.
Scaled time: 13.90 units (timescale=1.997).
Factorization parameters were as follows:
name: 42227_139
n: 4884377112489178144273156295792950485073388003515582263988391522853491148860966070259939401017505922337628107
m: 10000000000000000000000000000
deg: 5
c5: 19
c0: 215
skew: 1.62
type: snfs
lss: 1
rlim: 1580000
alim: 1580000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1580000/1580000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [790000, 1490001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 200308 x 200556
Total sieving time: 6.96 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,141,5,0,0,0,0,0,0,0,0,1580000,1580000,26,26,48,48,2.3,2.3,100000
total time: 6.96 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 20, 2008 17:00:00 UTC 2008 年 12 月 21 日 (日) 2 時 0 分 0 秒 (日本時間)

38×10140+439

c109

name 名前Sinkiti Sibata
date 日付December 21, 2008 20:21:18 UTC 2008 年 12 月 22 日 (月) 5 時 21 分 18 秒 (日本時間)
composite number 合成数
1750157665195895484648268135865022403532332639214085226117860426329641105594587945290563927802167775344917851<109>
prime factors 素因数
12699265945218353733988416402502984096925867<44>
137815655861186307456994950037515633314473360940130795156807220753<66>
factorization results 素因数分解の結果
Number: 42227_140
N=1750157665195895484648268135865022403532332639214085226117860426329641105594587945290563927802167775344917851
  ( 109 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=12699265945218353733988416402502984096925867
 r2=137815655861186307456994950037515633314473360940130795156807220753
Version: 
Total time: 10.29 hours.
Scaled time: 20.61 units (timescale=2.003).
Factorization parameters were as follows:
name: 42227_140
n: 1750157665195895484648268135865022403532332639214085226117860426329641105594587945290563927802167775344917851
m: 10000000000000000000000000000
deg: 5
c5: 38
c0: 43
skew: 1.03
type: snfs
lss: 1
rlim: 1600000
alim: 1600000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1600000/1600000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [800000, 1900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 255864 x 256112
Total sieving time: 10.29 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,141,5,0,0,0,0,0,0,0,0,1600000,1600000,26,26,48,48,2.3,2.3,100000
total time: 10.29 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 20, 2008 17:00:00 UTC 2008 年 12 月 21 日 (日) 2 時 0 分 0 秒 (日本時間)

38×10141+439

c116

name 名前Robert Backstrom
date 日付December 21, 2008 08:39:36 UTC 2008 年 12 月 21 日 (日) 17 時 39 分 36 秒 (日本時間)
composite number 合成数
12298968533278811763657986664253858669350572760397013486487978589390414885086829887869288821107164783220801116179991<116>
prime factors 素因数
1755675497577629798819125718774504104057<40>
7005262960181509629676894759365346286335418889322710401815129565027157909263<76>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 12298968533278811763657986664253858669350572760397013486487978589390414885086829887869288821107164783220801116179991 (116 digits)
Using B1=2986000, B2=5706890290, polynomial Dickson(6), sigma=3859119621
Step 1 took 23235ms
Step 2 took 10750ms
********** Factor found in step 2: 1755675497577629798819125718774504104057
Found probable prime factor of 40 digits: 1755675497577629798819125718774504104057
Probable prime cofactor 7005262960181509629676894759365346286335418889322710401815129565027157909263 has 76 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 20, 2008 17:00:00 UTC 2008 年 12 月 21 日 (日) 2 時 0 分 0 秒 (日本時間)

38×10144+439

c130

name 名前Sinkiti Sibata
date 日付December 22, 2008 03:07:44 UTC 2008 年 12 月 22 日 (月) 12 時 7 分 44 秒 (日本時間)
composite number 合成数
3140707754454032100209047495164969064451607130248949747422702757390517541777485585989335253410516591681046770886049171734308580193<130>
prime factors 素因数
43754364299985865542408997922500687052406885856436424436163<59>
71780445327028706891060593598257035580865296056623661966850183987404811<71>
factorization results 素因数分解の結果
Number: 42227_144
N=3140707754454032100209047495164969064451607130248949747422702757390517541777485585989335253410516591681046770886049171734308580193
  ( 130 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=43754364299985865542408997922500687052406885856436424436163
 r2=71780445327028706891060593598257035580865296056623661966850183987404811
Version: 
Total time: 10.43 hours.
Scaled time: 20.90 units (timescale=2.003).
Factorization parameters were as follows:
name: 42227_144
n: 3140707754454032100209047495164969064451607130248949747422702757390517541777485585989335253410516591681046770886049171734308580193
m: 100000000000000000000000000000
deg: 5
c5: 19
c0: 215
skew: 1.62
type: snfs
lss: 1
rlim: 1920000
alim: 1920000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1920000/1920000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [960000, 1960001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 262590 x 262838
Total sieving time: 10.43 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,146,5,0,0,0,0,0,0,0,0,1920000,1920000,26,26,49,49,2.3,2.3,100000
total time: 10.43 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 20, 2008 17:00:00 UTC 2008 年 12 月 21 日 (日) 2 時 0 分 0 秒 (日本時間)

38×10145+439

c140

name 名前Serge Batalov
date 日付December 23, 2008 15:25:35 UTC 2008 年 12 月 24 日 (水) 0 時 25 分 35 秒 (日本時間)
composite number 合成数
14735455339723790094059125859440585500133569147151785776260491207954850254618973891914116647648234899910001267636934356764995196823221960823<140>
prime factors 素因数
143361658105740544577121897169041849714893542691<48>
102785190506482758977581155294308544825255338892896261035565418692162299061389923861016260253<93>
factorization results 素因数分解の結果
SNFS difficulty: 146 digits.
Divisors found:
 r1=143361658105740544577121897169041849714893542691 (pp48)
 r2=102785190506482758977581155294308544825255338892896261035565418692162299061389923861016260253 (pp93)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.286).
Factorization parameters were as follows:
n: 14735455339723790094059125859440585500133569147151785776260491207954850254618973891914116647648234899910001267636934356764995196823221960823
m: 100000000000000000000000000000
deg: 5
c5: 38
c0: 43
skew: 1.03
type: snfs
lss: 1
rlim: 1940000
alim: 1940000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1940000/1940000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [970000, 2570001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 336574 x 336822
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1940000,1940000,26,26,49,49,2.3,2.3,100000
total time: 11.00 hours.
software ソフトウェア
Msieve-1.39
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 20, 2008 17:00:00 UTC 2008 年 12 月 21 日 (日) 2 時 0 分 0 秒 (日本時間)

38×10146+439

c113

name 名前Sinkiti Sibata
date 日付December 22, 2008 03:18:20 UTC 2008 年 12 月 22 日 (月) 12 時 18 分 20 秒 (日本時間)
composite number 合成数
11419037649631533302730167351422803394561213724399974201383070218486899102995497193219122768932079190766508073381<113>
prime factors 素因数
324669516616670697087399863175104643086264125364574157<54>
35171265133319275701635037151479684144701079965460533176633<59>
factorization results 素因数分解の結果
Number: 42227_146
N=11419037649631533302730167351422803394561213724399974201383070218486899102995497193219122768932079190766508073381
  ( 113 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=324669516616670697087399863175104643086264125364574157
 r2=35171265133319275701635037151479684144701079965460533176633
Version: 
Total time: 13.24 hours.
Scaled time: 31.31 units (timescale=2.366).
Factorization parameters were as follows:
name: 42227_146
n: 11419037649631533302730167351422803394561213724399974201383070218486899102995497193219122768932079190766508073381
m: 200000000000000000000000000000
deg: 5
c5: 95
c0: 344
skew: 1.29
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1050000, 2750001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 362115 x 362360
Total sieving time: 13.24 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,148,5,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
total time: 13.24 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 20, 2008 17:00:00 UTC 2008 年 12 月 21 日 (日) 2 時 0 分 0 秒 (日本時間)

38×10149+439

c138

name 名前Sinkiti Sibata
date 日付December 22, 2008 20:17:42 UTC 2008 年 12 月 23 日 (火) 5 時 17 分 42 秒 (日本時間)
composite number 合成数
286272281242565584871308935586551398963328947291933211769489506901789407053841847782020315712273819190869798534111037762948452697250984669<138>
prime factors 素因数
123132274553465756860058461410327710779<39>
27267256871151239064440712042018508774862667557<47>
85264047995684401299884905037961478641338880822995323<53>
factorization results 素因数分解の結果
Number: 42227_149
N=286272281242565584871308935586551398963328947291933211769489506901789407053841847782020315712273819190869798534111037762948452697250984669
  ( 138 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=123132274553465756860058461410327710779
 r2=27267256871151239064440712042018508774862667557
 r3=85264047995684401299884905037961478641338880822995323
Version: 
Total time: 17.03 hours.
Scaled time: 33.49 units (timescale=1.967).
Factorization parameters were as follows:
name: 42227_149
n: 286272281242565584871308935586551398963328947291933211769489506901789407053841847782020315712273819190869798534111037762948452697250984669
m: 1000000000000000000000000000000
deg: 5
c5: 19
c0: 215
skew: 1.62
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1150000, 1750001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 326210 x 326458
Total sieving time: 17.03 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,151,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 17.03 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 20, 2008 17:00:00 UTC 2008 年 12 月 21 日 (日) 2 時 0 分 0 秒 (日本時間)

38×10150+439

c105

name 名前Sinkiti Sibata
date 日付December 21, 2008 20:11:53 UTC 2008 年 12 月 22 日 (月) 5 時 11 分 53 秒 (日本時間)
composite number 合成数
110381545923280664073717632487428289003590698192574383665984937129689496720053069202801052883676794035927<105>
prime factors 素因数
1474436240860335083889521243713798444857541487<46>
74863559958939232893634955690188665701792653148056199268121<59>
factorization results 素因数分解の結果
Number: 42227_150
N=110381545923280664073717632487428289003590698192574383665984937129689496720053069202801052883676794035927
  ( 105 digits)
Divisors found:
 r1=1474436240860335083889521243713798444857541487 (pp46)
 r2=74863559958939232893634955690188665701792653148056199268121 (pp59)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 15.61 hours.
Scaled time: 7.37 units (timescale=0.472).
Factorization parameters were as follows:
name: 42227_150
n: 110381545923280664073717632487428289003590698192574383665984937129689496720053069202801052883676794035927
skew: 13420.60
# norm 9.52e+14
c5: 107460
c4: -360905256
c3: -62359547385495
c2: -486725426096074673
c1: 4105199284466708023171
c0: -86832314907525862615335
# alpha -6.88
Y1: 67446069691
Y0: -63435188891743035196
# Murphy_E 1.97e-09
# M 69240885770336502168462731026371669070686911436648784413026709589522938575061457362992740606116577231612
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2150001)
Primes: RFBsize:183072, AFBsize:182694, largePrimes:4397803 encountered
Relations: rels:4492136, finalFF:486116
Max relations in full relation-set: 28
Initial matrix: 365843 x 486116 with sparse part having weight 33668090.
Pruned matrix : 267920 x 269813 with weight 16505009.
Total sieving time: 13.47 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 1.68 hours.
Time per square root: 0.18 hours.
Prototype def-par.txt line would be:
gnfs,104,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 15.61 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 20, 2008 17:00:00 UTC 2008 年 12 月 21 日 (日) 2 時 0 分 0 秒 (日本時間)

38×10152+439

c128

name 名前Serge Batalov
date 日付December 20, 2008 20:58:36 UTC 2008 年 12 月 21 日 (日) 5 時 58 分 36 秒 (日本時間)
composite number 合成数
11291635530967270483024962063389748440129305843268192720250137057522709211075564788361786349471327925047266570103189324362726993<128>
prime factors 素因数
3311927853322341988197805383433981<34>
3409384512902395854395804534112932958824831083076127506595975133098149114787081693316069646053<94>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=965743905
Step 1 took 9800ms
Step 2 took 5995ms
********** Factor found in step 2: 3311927853322341988197805383433981
Found probable prime factor of 34 digits: 3311927853322341988197805383433981
Probable prime cofactor 3409384512902395854395804534112932958824831083076127506595975133098149114787081693316069646053 has 94 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 20, 2008 17:00:00 UTC 2008 年 12 月 21 日 (日) 2 時 0 分 0 秒 (日本時間)

38×10153+439

c153

name 名前Serge Batalov
date 日付December 23, 2008 15:26:57 UTC 2008 年 12 月 24 日 (水) 0 時 26 分 57 秒 (日本時間)
composite number 合成数
469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135803<153>
prime factors 素因数
429658841311150490118038632706779529774463197589532158877111287918973<69>
1091879783126345287514741812724212614608670024173592287059530931202710184194869602711<85>
factorization results 素因数分解の結果
SNFS difficulty: 155 digits.
Divisors found:
 r1=429658841311150490118038632706779529774463197589532158877111287918973 (pp69)
 r2=1091879783126345287514741812724212614608670024173592287059530931202710184194869602711 (pp85)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.314).
Factorization parameters were as follows:
n: 469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135803
m: 5000000000000000000000000000000
deg: 5
c5: 304
c0: 1075
skew: 1.29
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [1400000, 2600001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 565118 x 565366
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,52,52,2.4,2.4,100000
total time: 12.00 hours.
software ソフトウェア
Msieve-1.39
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 20, 2008 17:00:00 UTC 2008 年 12 月 21 日 (日) 2 時 0 分 0 秒 (日本時間)

38×10155+439

c140

name 名前Sinkiti Sibata
date 日付December 23, 2008 07:55:37 UTC 2008 年 12 月 23 日 (火) 16 時 55 分 37 秒 (日本時間)
composite number 合成数
50090053626936883206705630949905665484857244831913664200001658149686866574332055065172584204637245327813337676459217261678272501746512978529<140>
prime factors 素因数
68502326768501726934975760518634987979255867421670311224348881<62>
731216821236048149998573343592774757206363666972266538567208965878323259710609<78>
factorization results 素因数分解の結果
Number: 42227_155
N=50090053626936883206705630949905665484857244831913664200001658149686866574332055065172584204637245327813337676459217261678272501746512978529
  ( 140 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=68502326768501726934975760518634987979255867421670311224348881
 r2=731216821236048149998573343592774757206363666972266538567208965878323259710609
Version: 
Total time: 32.15 hours.
Scaled time: 82.43 units (timescale=2.564).
Factorization parameters were as follows:
name: 42227_155
n: 50090053626936883206705630949905665484857244831913664200001658149686866574332055065172584204637245327813337676459217261678272501746512978529
m: 10000000000000000000000000000000
deg: 5
c5: 38
c0: 43
skew: 1.03
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1400000, 2600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 560105 x 560353
Total sieving time: 32.15 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,156,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 32.15 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 20, 2008 17:00:00 UTC 2008 年 12 月 21 日 (日) 2 時 0 分 0 秒 (日本時間)

38×10157+439

c151

name 名前Sinkiti Sibata
date 日付December 23, 2008 09:53:38 UTC 2008 年 12 月 23 日 (火) 18 時 53 分 38 秒 (日本時間)
composite number 合成数
1946536599910654994557048257147197041338131628011548883606705701794496211816949357822976664975587383170602105211092084740339931779936681520738685232241<151>
prime factors 素因数
91465142275684836616097261496147067070594607462692509039543<59>
21281731504266448543814676309892699432806272010865082270499088002856980384586766615972344087<92>
factorization results 素因数分解の結果
Number: 42227_157
N=1946536599910654994557048257147197041338131628011548883606705701794496211816949357822976664975587383170602105211092084740339931779936681520738685232241
  ( 151 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=91465142275684836616097261496147067070594607462692509039543
 r2=21281731504266448543814676309892699432806272010865082270499088002856980384586766615972344087
Version: 
Total time: 34.06 hours.
Scaled time: 85.63 units (timescale=2.514).
Factorization parameters were as follows:
name:42227_157
n: 1946536599910654994557048257147197041338131628011548883606705701794496211816949357822976664975587383170602105211092084740339931779936681520738685232241
m: 20000000000000000000000000000000
deg: 5
c5: 475
c0: 172
skew: 0.82
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor 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, 2850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 522055 x 522303
Total sieving time: 34.06 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,159,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000
total time: 34.06 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 20, 2008 17:00:00 UTC 2008 年 12 月 21 日 (日) 2 時 0 分 0 秒 (日本時間)

38×10158+439

c128

name 名前Sinkiti Sibata
date 日付December 26, 2008 12:07:29 UTC 2008 年 12 月 26 日 (金) 21 時 7 分 29 秒 (日本時間)
composite number 合成数
92870890390133953204349065543637257872814042586690164133184967513777941557759002933246154398397579798202131837405662527263537987<128>
prime factors 素因数
2144079130668631481647808214278063607290278667<46>
43315047967083261756515628744608261986207073370289699235452899200702857612505217961<83>
factorization results 素因数分解の結果
Number: 42227_158
N=92870890390133953204349065543637257872814042586690164133184967513777941557759002933246154398397579798202131837405662527263537987
  ( 128 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=2144079130668631481647808214278063607290278667 (pp46)
 r2=43315047967083261756515628744608261986207073370289699235452899200702857612505217961 (pp83)
Version: GGNFS-0.77.1-20060513-k8
Total time: 68.70 hours.
Scaled time: 135.14 units (timescale=1.967).
Factorization parameters were as follows:
name: 42227_158
n: 92870890390133953204349065543637257872814042586690164133184967513777941557759002933246154398397579798202131837405662527263537987
m: 50000000000000000000000000000000
deg: 5
c5: 304
c0: 1075
skew: 1.29
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1700000, 3800001)
Primes: RFBsize:243539, AFBsize:244049, largePrimes:9512566 encountered
Relations: rels:10279905, finalFF:737657
Max relations in full relation-set: 28
Initial matrix: 487655 x 737657 with sparse part having weight 92990337.
Pruned matrix : 406380 x 408882 with weight 56550234.
Total sieving time: 64.49 hours.
Total relation processing time: 0.38 hours.
Matrix solve time: 3.58 hours.
Time per square root: 0.25 hours.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 68.70 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 20, 2008 17:00:00 UTC 2008 年 12 月 21 日 (日) 2 時 0 分 0 秒 (日本時間)

38×10163+439

c161

name 名前Serge Batalov
date 日付December 24, 2008 19:15:29 UTC 2008 年 12 月 25 日 (木) 4 時 15 分 29 秒 (日本時間)
composite number 合成数
29966091002286885892279788660200299660910022868858922797886602002996609100228688589227978866020029966091002286885892279788660200299660910022868858922797886602003<161>
prime factors 素因数
4810957160735656694134600221951725247720036705800339<52>
6228717072530466781791563604942513648430182164800452761903679474999292240561911205887774266569403833476578177<109>
factorization results 素因数分解の結果
SNFS difficulty: 165 digits.
Divisors found:
 r1=4810957160735656694134600221951725247720036705800339 (pp52)
 r2=6228717072530466781791563604942513648430182164800452761903679474999292240561911205887774266569403833476578177 (pp109)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.316).
Factorization parameters were as follows:
n: 29966091002286885892279788660200299660910022868858922797886602002996609100228688589227978866020029966091002286885892279788660200299660910022868858922797886602003
m: 500000000000000000000000000000000
deg: 5
c5: 304
c0: 1075
skew: 1.29
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
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: 52/52
Sieved rational special-q in [2050000, 4650001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 813692 x 813940
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,52,52,2.4,2.4,100000
total time: 56.00 hours.
software ソフトウェア
Msieve-1.39
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 20, 2008 17:00:00 UTC 2008 年 12 月 21 日 (日) 2 時 0 分 0 秒 (日本時間)

38×10164+439

c131

name 名前Jo Yeong Uk
date 日付March 2, 2009 09:26:19 UTC 2009 年 3 月 2 日 (月) 18 時 26 分 19 秒 (日本時間)
composite number 合成数
18918587626737275661569539886981494068926834123091527789688832596833492556859843815321929442379184020868294757891620228514128616707<131>
prime factors 素因数
278000081592423342777657256468034862164665053267856254599<57>
68052453504218272772299858954858072418262676712033906643921164158593661093<74>
factorization results 素因数分解の結果
Number: 42227_164
N=18918587626737275661569539886981494068926834123091527789688832596833492556859843815321929442379184020868294757891620228514128616707
  ( 131 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=278000081592423342777657256468034862164665053267856254599
 r2=68052453504218272772299858954858072418262676712033906643921164158593661093
Version: 
Total time: 20.33 hours.
Scaled time: 48.51 units (timescale=2.386).
Factorization parameters were as follows:
n: 18918587626737275661569539886981494068926834123091527789688832596833492556859843815321929442379184020868294757891620228514128616707
m: 1000000000000000000000000000000000
deg: 5
c5: 19
c0: 215
skew: 1.62
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2300000, 3900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9569371
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 734818 x 735066
Total sieving time: 18.27 hours.
Total relation processing time: 0.77 hours.
Matrix solve time: 1.22 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,51,51,2.4,2.4,100000
total time: 20.33 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047004k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673797)
Calibrating delay using timer specific routine.. 5148.57 BogoMIPS (lpj=2574285)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672337)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672389)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 20, 2008 17:00:00 UTC 2008 年 12 月 21 日 (日) 2 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkFebruary 1, 2009 02:15:29 UTC 2009 年 2 月 1 日 (日) 11 時 15 分 29 秒 (日本時間)

38×10165+439

c128

name 名前Ignacio Santos
date 日付March 4, 2009 17:48:33 UTC 2009 年 3 月 5 日 (木) 2 時 48 分 33 秒 (日本時間)
composite number 合成数
13779397231014677003271297836843222436382621372327834819315841451944209363898472323132704806248632749606937926483332518047853271<128>
prime factors 素因数
9624864893143538828693818535656088289049661<43>
1431645782459834913814885047641598665244275971770173259132088449280057432040679887011<85>
factorization results 素因数分解の結果
Number: 42227_165
N=13779397231014677003271297836843222436382621372327834819315841451944209363898472323132704806248632749606937926483332518047853271
  ( 128 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=9624864893143538828693818535656088289049661 (pp43)
 r2=1431645782459834913814885047641598665244275971770173259132088449280057432040679887011 (pp85)
Version: Msieve-1.39
Total time: 50.19 hours.
Scaled time: 129.05 units (timescale=2.571).
Factorization parameters were as follows:
n: 13779397231014677003271297836843222436382621372327834819315841451944209363898472323132704806248632749606937926483332518047853271
m: 1000000000000000000000000000000000
deg: 5
c5: 38
c0: 43
skew: 1.03
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2100000, 4700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 800481 x 800729
Total sieving time: 50.19 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 50.19 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 20, 2008 17:00:00 UTC 2008 年 12 月 21 日 (日) 2 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkFebruary 7, 2009 04:28:46 UTC 2009 年 2 月 7 日 (土) 13 時 28 分 46 秒 (日本時間)

38×10169+439

c147

name 名前Serge Batalov
date 日付December 20, 2008 21:23:03 UTC 2008 年 12 月 21 日 (日) 6 時 23 分 3 秒 (日本時間)
composite number 合成数
243232948692106700886160435990540832134440071813175141223458512280025558494434094229839203561901390313582847747485102653793624195207328409916608103<147>
prime factors 素因数
2655820141606970410062410591<28>
91584872364486444849043172878832212662987223413797999591678382550522470542734022451786510752287876994744879249741744633<119>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3830038547
Step 1 took 11702ms
Step 2 took 6882ms
********** Factor found in step 2: 2655820141606970410062410591
Found probable prime factor of 28 digits: 2655820141606970410062410591
Probable prime cofactor 91584872364486444849043172878832212662987223413797999591678382550522470542734022451786510752287876994744879249741744633 has 119 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 20, 2008 17:00:00 UTC 2008 年 12 月 21 日 (日) 2 時 0 分 0 秒 (日本時間)

38×10170+439

c155

name 名前Ignacio Santos
date 日付April 29, 2009 11:49:10 UTC 2009 年 4 月 29 日 (水) 20 時 49 分 10 秒 (日本時間)
composite number 合成数
23349740844550738413468620796920875678681831018675493539509566502420110283104445553529638281716803731915120107180379989058300534100274710632172829990453659<155>
prime factors 素因数
159420766227975595294803856574498124726059142719287<51>
146466118542925818385076619853708085471450289535066254778571014685940595834245664133461216599012397408957<105>
factorization results 素因数分解の結果
Number: 42227_170
N=23349740844550738413468620796920875678681831018675493539509566502420110283104445553529638281716803731915120107180379989058300534100274710632172829990453659
  ( 155 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=159420766227975595294803856574498124726059142719287 (pp51)
 r2=146466118542925818385076619853708085471450289535066254778571014685940595834245664133461216599012397408957 (pp105)
Version: Msieve-1.39
Total time: 72.39 hours.
Scaled time: 185.32 units (timescale=2.560).
Factorization parameters were as follows:
n: 23349740844550738413468620796920875678681831018675493539509566502420110283104445553529638281716803731915120107180379989058300534100274710632172829990453659
m: 10000000000000000000000000000000000
deg: 5
c5: 38
c0: 43
skew: 1.03
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, 6150001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1013018 x 1013266
Total sieving time: 72.39 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: 72.39 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 20, 2008 17:00:00 UTC 2008 年 12 月 21 日 (日) 2 時 0 分 0 秒 (日本時間)

38×10171+439

c143

name 名前Sinkiti Sibata
date 日付February 27, 2010 06:21:56 UTC 2010 年 2 月 27 日 (土) 15 時 21 分 56 秒 (日本時間)
composite number 合成数
30401769955923552264610292139673667276037281819045587800090338106758213534212771133303545534652248553138119593302093557172904675579584792273923<143>
prime factors 素因数
3689401158829637253919458133182054342171788700650100759357848765917<67>
8240299345915447057435626689641517242918436628261033738996984881759236039519<76>
factorization results 素因数分解の結果
Number: 42227_171
N=30401769955923552264610292139673667276037281819045587800090338106758213534212771133303545534652248553138119593302093557172904675579584792273923
  ( 143 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=3689401158829637253919458133182054342171788700650100759357848765917 (pp67)
 r2=8240299345915447057435626689641517242918436628261033738996984881759236039519 (pp76)
Version: Msieve-1.40
Total time: 109.60 hours.
Scaled time: 328.36 units (timescale=2.996).
Factorization parameters were as follows:
name: 42227_171
n: 30401769955923552264610292139673667276037281819045587800090338106758213534212771133303545534652248553138119593302093557172904675579584792273923
m: 10000000000000000000000000000000000
deg: 5
c5: 380
c0: 43
skew: 0.65
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2650000, 6650001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1053135 x 1053383
Total sieving time: 106.65 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 2.68 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,172.000,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,52,52,2.4,2.4,100000
total time: 109.60 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 20, 2008 17:00:00 UTC 2008 年 12 月 21 日 (日) 2 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiAugust 14, 2009 04:15:52 UTC 2009 年 8 月 14 日 (金) 13 時 15 分 52 秒 (日本時間)

38×10172+439

c153

name 名前Serge Batalov
date 日付December 21, 2008 07:09:12 UTC 2008 年 12 月 21 日 (日) 16 時 9 分 12 秒 (日本時間)
composite number 合成数
535103963673748344180065172385558555712201195396752180244550214415419633912007264242276949841173069777537345282268596591042334101229715919656068562401737<153>
prime factors 素因数
203557052143526710221580765970953<33>
composite cofactor 合成数の残り
2628766520436983600848734312946145497452786791325720620424489826049404434795255603834058064887550987569889245091927009729<121>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1531914312
Step 1 took 11706ms
Step 2 took 6748ms
********** Factor found in step 2: 203557052143526710221580765970953
Found probable prime factor of 33 digits: 203557052143526710221580765970953
Composite cofactor has 121 digits
software ソフトウェア
GMP-ECM 6.2.1

c121

name 名前Serge Batalov
date 日付January 19, 2009 02:17:39 UTC 2009 年 1 月 19 日 (月) 11 時 17 分 39 秒 (日本時間)
composite number 合成数
2628766520436983600848734312946145497452786791325720620424489826049404434795255603834058064887550987569889245091927009729<121>
prime factors 素因数
420734513010606963946049354023057901<36>
6248041078509551353101256469453718149726177872481573643816712145739964244757462590629<85>
factorization results 素因数分解の結果
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=3144912507
Step 1 took 9919ms
Step 2 took 12237ms
********** Factor found in step 2: 420734513010606963946049354023057901
Found probable prime factor of 36 digits: 420734513010606963946049354023057901
Probable prime cofactor has 85 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 20, 2008 17:00:00 UTC 2008 年 12 月 21 日 (日) 2 時 0 分 0 秒 (日本時間)

38×10174+439

c167

name 名前Dmitry Domanov
date 日付May 7, 2010 23:03:45 UTC 2010 年 5 月 8 日 (土) 8 時 3 分 45 秒 (日本時間)
composite number 合成数
39629301217438935321863255736001634253981131703361611061078596885920541597057147280517784686061853636515717125301210455835296811384396128045822184633204291672695665193<167>
prime factors 素因数
5787473380033039651780247391363908255898775007325945083361029255045533<70>
6847426953903794667599074858167235588764147331897074272479487094378388213720288703723661112673021<97>
factorization results 素因数分解の結果
Number: 211
N=39629301217438935321863255736001634253981131703361611061078596885920541597057147280517784686061853636515717125301210455835296811384396128045822184633204291672695665193
  ( 167 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=5787473380033039651780247391363908255898775007325945083361029255045533 (pp70)
 r2=6847426953903794667599074858167235588764147331897074272479487094378388213720288703723661112673021 (pp97)
Version: Msieve-1.40
Total time: 71.46 hours.
Scaled time: 136.92 units (timescale=1.916).
Factorization parameters were as follows:
n: 39629301217438935321863255736001634253981131703361611061078596885920541597057147280517784686061853636515717125301210455835296811384396128045822184633204291672695665193
m: 20000000000000000000000000000000000
deg: 5
c5: 11875
c0: 43
skew: 0.32
type: snfs
lss: 1
rlim: 5900000
alim: 5900000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 200000Factor base limits: 5900000/5900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [2950000, 6550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1080816 x 1081049
Total sieving time: 69.61 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 1.43 hours.
Time per square root: 0.28 hours.
Prototype def-par.txt line would be:
snfs,175.000,5,0,0,0,0,0,0,0,0,5900000,5900000,28,28,52,52,2.5,2.5,100000
total time: 71.46 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 20, 2008 17:00:00 UTC 2008 年 12 月 21 日 (日) 2 時 0 分 0 秒 (日本時間)
351e60--
403e60 / 1411--
4511e6268 / 4479Dmitry DomanovMay 6, 2010 19:37:56 UTC 2010 年 5 月 7 日 (金) 4 時 37 分 56 秒 (日本時間)

38×10176+439

c152

name 名前Serge Batalov
date 日付December 22, 2008 01:16:01 UTC 2008 年 12 月 22 日 (月) 10 時 16 分 1 秒 (日本時間)
composite number 合成数
12710180713063180597786275559192324295387270494593223742291526834495112768146541748756149455257986807502007508546080111164201098027468149785952268445923<152>
prime factors 素因数
178756426448137413914826142437964919<36>
composite cofactor 合成数の残り
71103349768243348700450905945142994417179643820598258646824953982535526988209326934630523825762360058327976339721717<116>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1342266695
Step 1 took 43401ms
Step 2 took 21416ms
********** Factor found in step 2: 178756426448137413914826142437964919
Found probable prime factor of 36 digits: 178756426448137413914826142437964919
Composite cofactor has 116 digits
software ソフトウェア
GMP-ECM 6.2.1

c116

name 名前Jo Yeong Uk
date 日付January 10, 2009 10:05:20 UTC 2009 年 1 月 10 日 (土) 19 時 5 分 20 秒 (日本時間)
composite number 合成数
71103349768243348700450905945142994417179643820598258646824953982535526988209326934630523825762360058327976339721717<116>
prime factors 素因数
30482242843051625212413261317342328142108260988731555571<56>
2332615422504949792148260086568871957753601757513041367550327<61>
factorization results 素因数分解の結果
Number: 42227_176
N=71103349768243348700450905945142994417179643820598258646824953982535526988209326934630523825762360058327976339721717
  ( 116 digits)
Divisors found:
 r1=30482242843051625212413261317342328142108260988731555571
 r2=2332615422504949792148260086568871957753601757513041367550327
Version: 
Total time: 17.83 hours.
Scaled time: 42.64 units (timescale=2.392).
Factorization parameters were as follows:
name: 42227_176
n: 71103349768243348700450905945142994417179643820598258646824953982535526988209326934630523825762360058327976339721717
skew: 26032.75
# norm 4.33e+15
c5: 108180
c4: 4459312752
c3: -46190052771889
c2: -6904408880014373882
c1: -13229336043547270296464
c0: 539733616727763783241807616
# alpha -5.62
Y1: 929245002037
Y0: -14572980660116137675005
# Murphy_E 4.64e-10
# M 57258185201645401085393804515614427325718700776340221333725020184573222142112606157960434857721364147424672513767023
type: gnfs
rlim: 3300000
alim: 3300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
qintsize: 75000
Factor base limits: 3300000/3300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [1650000, 3000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 8772174
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 554186 x 554434
Polynomial selection time: 1.51 hours.
Total sieving time: 14.83 hours.
Total relation processing time: 0.72 hours.
Matrix solve time: 0.64 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
gnfs,115,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3300000,3300000,27,27,52,52,2.4,2.4,75000
total time: 17.83 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046968k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.61 BogoMIPS (lpj=2673805)
Calibrating delay using timer specific routine.. 5344.84 BogoMIPS (lpj=2672421)
Calibrating delay using timer specific routine.. 5344.41 BogoMIPS (lpj=2672207)
Calibrating delay using timer specific routine.. 5291.27 BogoMIPS (lpj=2645639)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 20, 2008 17:00:00 UTC 2008 年 12 月 21 日 (日) 2 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkJanuary 9, 2009 07:37:59 UTC 2009 年 1 月 9 日 (金) 16 時 37 分 59 秒 (日本時間)

38×10179+439

c171

name 名前Serge Batalov
date 日付December 22, 2008 18:11:12 UTC 2008 年 12 月 23 日 (火) 3 時 11 分 12 秒 (日本時間)
composite number 合成数
170447853844596046964573144306292022773729550866751385646307419912375506137315940664417433288666903578687511234215243478676695631611918643096920160876971812602466905594969<171>
prime factors 素因数
83693711822605989870189783269927<32>
composite cofactor 合成数の残り
2036567026754301909068906536670007279613488322697273803941595712633680899678332169392476463478230146670448373216770032371376154711024549247<139>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=28284232
Step 1 took 50467ms
Step 2 took 24270ms
********** Factor found in step 2: 83693711822605989870189783269927
Found probable prime factor of 32 digits: 83693711822605989870189783269927
Composite cofactor has 139 digits
software ソフトウェア
GMP-ECM 6.2.1

c139

name 名前Ignacio Santos
date 日付November 13, 2010 03:34:08 UTC 2010 年 11 月 13 日 (土) 12 時 34 分 8 秒 (日本時間)
composite number 合成数
2036567026754301909068906536670007279613488322697273803941595712633680899678332169392476463478230146670448373216770032371376154711024549247<139>
prime factors 素因数
2034953544948107208416108796413440433113<40>
1000792883852410422277871265632721081864057200112366313908167943511769265513580804032449248928957719<100>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1742609995
Step 1 took 74132ms
Step 2 took 33789ms
********** Factor found in step 2: 2034953544948107208416108796413440433113
Found probable prime factor of 40 digits: 2034953544948107208416108796413440433113
Probable prime cofactor 1000792883852410422277871265632721081864057200112366313908167943511769265513580804032449248928957719 has 100 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
3025e4430Makoto KamadaDecember 20, 2008 17:00:00 UTC 2008 年 12 月 21 日 (日) 2 時 0 分 0 秒 (日本時間)

38×10180+439

c180

name 名前Wataru Sakai
date 日付February 10, 2009 13:15:10 UTC 2009 年 2 月 10 日 (火) 22 時 15 分 10 秒 (日本時間)
composite number 合成数
469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135803<180>
prime factors 素因数
4095157380675222708692130449535082586017393959914693<52>
4359068972382103688986139651920014643722275960934943125231403<61>
26280537309026180225728609426477728057761054472759357321451829916157<68>
factorization results 素因数分解の結果
Number: 42227_180
N=469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135803
  ( 180 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=4095157380675222708692130449535082586017393959914693
 r2=4359068972382103688986139651920014643722275960934943125231403
 r3=26280537309026180225728609426477728057761054472759357321451829916157
Version: 
Total time: 264.64 hours.
Scaled time: 491.96 units (timescale=1.859).
Factorization parameters were as follows:
n: 469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135803
m: 1000000000000000000000000000000000000
deg: 5
c5: 38
c0: 43
skew: 1.03
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3700000, 6600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1187661 x 1187909
Total sieving time: 264.64 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,181,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,53,53,2.5,2.5,100000
total time: 264.64 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 20, 2008 17:00:00 UTC 2008 年 12 月 21 日 (日) 2 時 0 分 0 秒 (日本時間)

38×10182+439

c143

name 名前Jo Yeong Uk
date 日付May 2, 2014 23:40:07 UTC 2014 年 5 月 3 日 (土) 8 時 40 分 7 秒 (日本時間)
composite number 合成数
33383820200633115992825261602498242039116885478268638395845328438020676516030071062814802420593281328049006043407032214256772546252441932461423<143>
prime factors 素因数
15123496152643239462468831935711385554103670010797<50>
2207414202621289500076508372770539521369354806129225877488891848334416327887421360207135445259<94>
factorization results 素因数分解の結果
Number: 42227_182
N=33383820200633115992825261602498242039116885478268638395845328438020676516030071062814802420593281328049006043407032214256772546252441932461423
  ( 143 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=15123496152643239462468831935711385554103670010797
 r2=2207414202621289500076508372770539521369354806129225877488891848334416327887421360207135445259
Version: 
Total time: 66.27 hours.
Scaled time: 347.64 units (timescale=5.246).
Factorization parameters were as follows:
n: 33383820200633115992825261602498242039116885478268638395845328438020676516030071062814802420593281328049006043407032214256772546252441932461423
m: 2000000000000000000000000000000000000
deg: 5
c5: 475
c0: 172
skew: 0.82
# Murphy_E = 6.591e-11
type: snfs
lss: 1
rlim: 6800000
alim: 6800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3400000, 6500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18484227
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1409921 x 1410168
Total sieving time: 62.43 hours.
Total relation processing time: 1.48 hours.
Matrix solve time: 2.27 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,184,5,0,0,0,0,0,0,0,0,6800000,6800000,28,28,53,53,2.5,2.5,100000
total time: 66.27 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49374320k/51380224k available (5220k kernel code, 1085960k absent, 919944k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.06 BogoMIPS (lpj=3400031)
Total of 12 processors activated (81600.74 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 20, 2008 17:00:00 UTC 2008 年 12 月 21 日 (日) 2 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosNovember 13, 2010 03:35:22 UTC 2010 年 11 月 13 日 (土) 12 時 35 分 22 秒 (日本時間)
403e61110110Ignacio SantosNovember 13, 2010 03:35:22 UTC 2010 年 11 月 13 日 (土) 12 時 35 分 22 秒 (日本時間)
1000Dmitry DomanovNovember 16, 2012 14:52:53 UTC 2012 年 11 月 16 日 (金) 23 時 52 分 53 秒 (日本時間)
4511e61342 / 422032Ignacio SantosNovember 13, 2010 03:35:22 UTC 2010 年 11 月 13 日 (土) 12 時 35 分 22 秒 (日本時間)
230Ignacio SantosOctober 2, 2013 18:02:52 UTC 2013 年 10 月 3 日 (木) 3 時 2 分 52 秒 (日本時間)
230Ignacio SantosOctober 12, 2013 18:02:52 UTC 2013 年 10 月 13 日 (日) 3 時 2 分 52 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:06:18 UTC 2013 年 11 月 9 日 (土) 2 時 6 分 18 秒 (日本時間)

38×10185+439

c125

name 名前Sinkiti Sibata
date 日付December 6, 2009 09:34:58 UTC 2009 年 12 月 6 日 (日) 18 時 34 分 58 秒 (日本時間)
composite number 合成数
10163000888601351574091650327076122371330303933857311295882684888886742421333499613627838430705238530881569977996032169971131<125>
prime factors 素因数
12355928475473544330597239983317552083603918386059392690368411<62>
822520210340716770107651062277089751977022102040961398920039521<63>
factorization results 素因数分解の結果
Number: 42227_185
N=10163000888601351574091650327076122371330303933857311295882684888886742421333499613627838430705238530881569977996032169971131
  ( 125 digits)
Divisors found:
 r1=12355928475473544330597239983317552083603918386059392690368411 (pp62)
 r2=822520210340716770107651062277089751977022102040961398920039521 (pp63)
Version: Msieve-1.40
Total time: 67.16 hours.
Scaled time: 221.97 units (timescale=3.305).
Factorization parameters were as follows:
name: 42227_185
# Murphy_E = 1.682506e-10, selected by Jeff Gilchrist
n: 10163000888601351574091650327076122371330303933857311295882684888886742421333499613627838430705238530881569977996032169971131
Y0: -923619546624448304172779
Y1: 23021935201633
c0: 79096464115109631933811720529520
c1: 1167382777930674645846480746
c2: 114086121926159006627
c3: -25474691358524626
c4: 6419648568
c5: 15120
skew: 459976.76
type: gnfs
# selected mechanically
rlim: 6700000
alim: 6700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6700000/6700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [3350000, 6350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 880662 x 880910
Total sieving time: 65.45 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.49 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
gnfs,124,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,6700000,6700000,27,27,52,52,2.5,2.5,100000
total time: 67.16 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 20, 2008 17:00:00 UTC 2008 年 12 月 21 日 (日) 2 時 0 分 0 秒 (日本時間)
351e60--
403e6500 / 2336Erik BrangerFebruary 16, 2009 17:22:16 UTC 2009 年 2 月 17 日 (火) 2 時 22 分 16 秒 (日本時間)

38×10186+439

c185

name 名前Ignacio Santos
date 日付September 22, 2009 10:31:51 UTC 2009 年 9 月 22 日 (火) 19 時 31 分 51 秒 (日本時間)
composite number 合成数
82788671023965141612200435729847494553376906318082788671023965141612200435729847494553376906318082788671023965141612200435729847494553376906318082788671023965141612200435729847494553377<185>
prime factors 素因数
1891585429967514596086920515141982806978394946772213980599659632904031163<73>
43766815768604711815967463936726026448836428954307420888133000133113089530668709178784976770389471795428755770579<113>
factorization results 素因数分解の結果
Number: 42227_186
N=82788671023965141612200435729847494553376906318082788671023965141612200435729847494553376906318082788671023965141612200435729847494553376906318082788671023965141612200435729847494553377
  ( 185 digits)
SNFS difficulty: 188 digits.
Divisors found:
 r1=1891585429967514596086920515141982806978394946772213980599659632904031163 (pp73)
 r2=43766815768604711815967463936726026448836428954307420888133000133113089530668709178784976770389471795428755770579 (pp113)
Version: Msieve-1.40
Total time: 292.57 hours.
Scaled time: 508.79 units (timescale=1.739).
Factorization parameters were as follows:
n: 82788671023965141612200435729847494553376906318082788671023965141612200435729847494553376906318082788671023965141612200435729847494553376906318082788671023965141612200435729847494553377
m: 20000000000000000000000000000000000000
deg: 5
c5: 95
c0: 344
skew: 1.29
type: snfs
lss: 1
rlim: 9700000
alim: 9700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9700000/9700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4850000, 9550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1953083 x 1953306
Total sieving time: 285.69 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 5.81 hours.
Time per square root: 0.84 hours.
Prototype def-par.txt line would be:
snfs,188.000,5,0,0,0,0,0,0,0,0,9700000,9700000,28,28,54,54,2.5,2.5,100000
total time: 292.57 hours.
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 20, 2008 17:00:00 UTC 2008 年 12 月 21 日 (日) 2 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiAugust 28, 2009 02:41:42 UTC 2009 年 8 月 28 日 (金) 11 時 41 分 42 秒 (日本時間)

38×10187+439

c168

name 名前Kenji Ibusuki
date 日付March 18, 2018 00:43:11 UTC 2018 年 3 月 18 日 (日) 9 時 43 分 11 秒 (日本時間)
composite number 合成数
591965122372666489444328195409685318824199901106213076946839737520447849798621275891455021894807933230705734658269795729590703881879052683696357640739231600654026664681<168>
prime factors 素因数
26385325543568218157601742003816120246858499642950745646173753<62>
22435392028618196697636779075225289035912206422620591292596643515580032121251324343802230534232853736636977<107>
factorization results 素因数分解の結果
Number: 42227_187
N=591965122372666489444328195409685318824199901106213076946839737520447849798621275891455021894807933230705734658269795729590703881879052683696357640739231600654026664681
  ( 168 digits)
SNFS difficulty: 188 digits.
Divisors found: (Total dependency: 1)
 r1=26385325543568218157601742003816120246858499642950745646173753 (pp62)
 r2=22435392028618196697636779075225289035912206422620591292596643515580032121251324343802230534232853736636977 (pp107)
Msieve version: Msieve v. 1.49 (SVN unknown)
GGNFS version: GGNFS-0.77.1-VC8(UTE)
Total time: 305.33 hours (16.97 calendar hours).
Scaled time: 1378.56 units (timescale=4.515).
Factorization parameters were as follows:
n: 591965122372666489444328195409685318824199901106213076946839737520447849798621275891455021894807933230705734658269795729590703881879052683696357640739231600654026664681
m: 10000000000000000000000000000000000000
deg: 5
c5: 3800
c0: 43
skew: 0.41
# Murphy_E = 4.127e-11
type: snfs
lss: 1
rlim: 9700000
alim: 9700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
relslim: 27800000
qintsize: 5000

Polynomial score was as follows:
skew 0.41, size 3.083e-013, alpha -0.286, combined = 4.127e-011 rroots = 1
Factor base limits: 9700000/9700000
Large primes per side: 3
Large prime bits: 28/28
Sieved special-q in [4850000, 23560001)
Relations: raw-rels:28007262 rels:24313430, finalFF:1565272
Pruned matrix : 1564708 x 1564933
Total sieving time: 295.14 hours (15.36 calendar hours).
Total relation processing time: 0.11 hours.
Total matrix build processing time: 0.03 hours.
Matrix pruned processing time: (N/A)
Matrix solve time: 10.00 hours (1.43 calendar hours).
Total time of square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,9700000,9700000,28,28,54,54,2.5,2.5,100000
total time: 305.33 hours (16.97 calendar hours).
 --------- CPU info (if available) ----------
software ソフトウェア
Msieve v. 1.49 (SVN unknown) + GGNFS-0.77.1-VC8 with 
factMsieve.pl (decomposed + modified) snfs
(without procrels.exe, matbuild.exe for "finalFF" calculation)
execution environment 実行環境
[Envilonment]
  PC #1   (Master) --- Intel Core i7 2600, 16GB RAM, Windows 7 64bit
  PC #2,3 (Slave)  --- Intel Core i7 4770, 16GB RAM, Windows 7 64bit
  PC #4   (Slave)  --- Intel Core 2 Quad Q6600, 4GB RAM, Windows Vista 32bit

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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 20, 2008 17:00:00 UTC 2008 年 12 月 21 日 (日) 2 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosNovember 13, 2010 03:35:44 UTC 2010 年 11 月 13 日 (土) 12 時 35 分 44 秒 (日本時間)
403e61410110Ignacio SantosNovember 13, 2010 03:35:44 UTC 2010 年 11 月 13 日 (土) 12 時 35 分 44 秒 (日本時間)
1000Dmitry DomanovNovember 16, 2012 14:53:02 UTC 2012 年 11 月 16 日 (金) 23 時 53 分 2 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:43:27 UTC 2014 年 1 月 9 日 (木) 13 時 43 分 27 秒 (日本時間)
4511e61532 / 415332Ignacio SantosNovember 13, 2010 03:35:44 UTC 2010 年 11 月 13 日 (土) 12 時 35 分 44 秒 (日本時間)
1200Rich DickersonApril 26, 2014 12:49:53 UTC 2014 年 4 月 26 日 (土) 21 時 49 分 53 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:02 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 2 秒 (日本時間)

38×10190+439

c186

name 名前Robert Backstrom
date 日付December 21, 2009 08:09:05 UTC 2009 年 12 月 21 日 (月) 17 時 9 分 5 秒 (日本時間)
composite number 合成数
147620340684437824837588489653562253634276821547597265294341362714442824505442723113577147749702719827082194617218514232348977593174657006080792612456592821533612180387394621414039704433<186>
prime factors 素因数
188842861071824615765500506301613040939280352144625291368044466035794298278708578687<84>
781709935162927917642790206127488798633371159901073266383347626263833358205329671027987439772257663759<102>
factorization results 素因数分解の結果
Number: n
N=147620340684437824837588489653562253634276821547597265294341362714442824505442723113577147749702719827082194617218514232348977593174657006080792612456592821533612180387394621414039704433
  ( 186 digits)
SNFS difficulty: 191 digits.
Divisors found:

Mon Dec 21 19:00:33 2009  prp84 factor: 188842861071824615765500506301613040939280352144625291368044466035794298278708578687
Mon Dec 21 19:00:33 2009  prp102 factor: 781709935162927917642790206127488798633371159901073266383347626263833358205329671027987439772257663759
Mon Dec 21 19:00:33 2009  elapsed time 07:33:48 (Msieve 1.42 - dependency 1)

Version: GGNFS-0.77.1-20050930-k8
Total time: ~ 24.00 hours.
Scaled time: 0.00 units (timescale=0.842).
Factorization parameters were as follows:
name: KA_4_2_189_7
n: 147620340684437824837588489653562253634276821547597265294341362714442824505442723113577147749702719827082194617218514232348977593174657006080792612456592821533612180387394621414039704433
m: 100000000000000000000000000000000000000
deg: 5
c5: 38
c0: 43
skew: 1.03
type: snfs
lss: 1
rlim: 10900000
alim: 10900000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 10900000/10900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 100000)
Primes: RFBsize:720341, AFBsize:719599, 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3456972 hash collisions in 28295349 relations
Msieve: matrix is 1717412 x 1717637 (458.7 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,10900000,10900000,28,28,56,56,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 20, 2008 17:00:00 UTC 2008 年 12 月 21 日 (日) 2 時 0 分 0 秒 (日本時間)
351e6825Wataru SakaiAugust 19, 2009 05:30:26 UTC 2009 年 8 月 19 日 (水) 14 時 30 分 26 秒 (日本時間)

38×10191+439

c176

name 名前Serge Batalov
date 日付December 21, 2008 05:31:32 UTC 2008 年 12 月 21 日 (日) 14 時 31 分 32 秒 (日本時間)
composite number 合成数
45278759297729836067364487697915817702255113542883152912636613305941404166904616756992132548017186387746465864171802477936683380955613819236660030437701838933730559019474136513<176>
prime factors 素因数
12195699723660604747700062962777713<35>
composite cofactor 合成数の残り
3712682365398479438282243464664815196302016944064203440914178876499906302165494535438255401453384930597328776467752153773796030078075034987601<142>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2348945104
Step 1 took 16054ms
Step 2 took 8272ms
********** Factor found in step 2: 12195699723660604747700062962777713
Found probable prime factor of 35 digits: 12195699723660604747700062962777713
Composite cofactor has 142 digits
software ソフトウェア
GMP-ECM 6.2.1

c142

name 名前Dmitry Domanov
date 日付November 14, 2012 07:49:49 UTC 2012 年 11 月 14 日 (水) 16 時 49 分 49 秒 (日本時間)
composite number 合成数
3712682365398479438282243464664815196302016944064203440914178876499906302165494535438255401453384930597328776467752153773796030078075034987601<142>
prime factors 素因数
44246652424796435479707233746898289371<38>
2579038393656961250983047121250838536118347132240933<52>
32534906948545232557824116550382860107495451088379207<53>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4292326659
Step 1 took 21868ms
Step 2 took 8592ms
********** Factor found in step 2: 44246652424796435479707233746898289371
Found probable prime factor of 38 digits: 44246652424796435479707233746898289371
Composite cofactor 83908774154354803433275297403404238391428277383471348310965732756638990443794385870356111193960791480131 has 104 digits

Wed Nov 14 11:18:40 2012  commencing relation filtering
Wed Nov 14 11:18:40 2012  estimated available RAM is 4096.0 MB
Wed Nov 14 11:18:40 2012  commencing duplicate removal, pass 1
Wed Nov 14 11:20:52 2012  found 473751 hash collisions in 5502912 relations
Wed Nov 14 11:21:07 2012  added 2047 free relations
Wed Nov 14 11:21:07 2012  commencing duplicate removal, pass 2
Wed Nov 14 11:21:12 2012  found 310682 duplicates and 5194277 unique relations
Wed Nov 14 11:21:12 2012  memory use: 24.6 MB
Wed Nov 14 11:21:12 2012  reading ideals above 100000
Wed Nov 14 11:21:12 2012  commencing singleton removal, initial pass
Wed Nov 14 11:23:49 2012  memory use: 172.2 MB
Wed Nov 14 11:23:49 2012  reading all ideals from disk
Wed Nov 14 11:23:49 2012  memory use: 166.6 MB
Wed Nov 14 11:23:49 2012  keeping 5776858 ideals with weight <= 200, target excess is 24844
Wed Nov 14 11:23:50 2012  commencing in-memory singleton removal
Wed Nov 14 11:23:51 2012  begin with 5194277 relations and 5776858 unique ideals
Wed Nov 14 11:23:56 2012  reduce to 1864231 relations and 1781431 ideals in 19 passes
Wed Nov 14 11:23:56 2012  max relations containing the same ideal: 100
Wed Nov 14 11:23:57 2012  removing 275396 relations and 248406 ideals in 26990 cliques
Wed Nov 14 11:23:57 2012  commencing in-memory singleton removal
Wed Nov 14 11:23:57 2012  begin with 1588835 relations and 1781431 unique ideals
Wed Nov 14 11:23:59 2012  reduce to 1557201 relations and 1500727 ideals in 12 passes
Wed Nov 14 11:23:59 2012  max relations containing the same ideal: 89
Wed Nov 14 11:24:00 2012  removing 201525 relations and 174535 ideals in 26990 cliques
Wed Nov 14 11:24:00 2012  commencing in-memory singleton removal
Wed Nov 14 11:24:00 2012  begin with 1355676 relations and 1500727 unique ideals
Wed Nov 14 11:24:01 2012  reduce to 1334393 relations and 1304509 ideals in 11 passes
Wed Nov 14 11:24:01 2012  max relations containing the same ideal: 84
Wed Nov 14 11:24:03 2012  relations with 0 large ideals: 479
Wed Nov 14 11:24:03 2012  relations with 1 large ideals: 228
Wed Nov 14 11:24:03 2012  relations with 2 large ideals: 3128
Wed Nov 14 11:24:03 2012  relations with 3 large ideals: 26633
Wed Nov 14 11:24:03 2012  relations with 4 large ideals: 119690
Wed Nov 14 11:24:03 2012  relations with 5 large ideals: 308545
Wed Nov 14 11:24:03 2012  relations with 6 large ideals: 406467
Wed Nov 14 11:24:03 2012  relations with 7+ large ideals: 469223
Wed Nov 14 11:24:03 2012  commencing 2-way merge
Wed Nov 14 11:24:04 2012  reduce to 759642 relation sets and 729759 unique ideals
Wed Nov 14 11:24:04 2012  ignored 2 oversize relation sets
Wed Nov 14 11:24:04 2012  commencing full merge
Wed Nov 14 11:24:19 2012  memory use: 79.6 MB
Wed Nov 14 11:24:19 2012  found 360868 cycles, need 357959
Wed Nov 14 11:24:20 2012  weight of 357959 cycles is about 25125021 (70.19/cycle)
Wed Nov 14 11:24:20 2012  distribution of cycle lengths:
Wed Nov 14 11:24:20 2012  1 relations: 39376
Wed Nov 14 11:24:20 2012  2 relations: 38641
Wed Nov 14 11:24:20 2012  3 relations: 37554
Wed Nov 14 11:24:20 2012  4 relations: 34195
Wed Nov 14 11:24:20 2012  5 relations: 31486
Wed Nov 14 11:24:20 2012  6 relations: 27000
Wed Nov 14 11:24:20 2012  7 relations: 23766
Wed Nov 14 11:24:20 2012  8 relations: 20830
Wed Nov 14 11:24:20 2012  9 relations: 17970
Wed Nov 14 11:24:20 2012  10+ relations: 87141
Wed Nov 14 11:24:20 2012  heaviest cycle: 27 relations
Wed Nov 14 11:24:20 2012  commencing cycle optimization
Wed Nov 14 11:24:21 2012  start with 2378741 relations
Wed Nov 14 11:24:27 2012  pruned 52533 relations
Wed Nov 14 11:24:27 2012  memory use: 77.7 MB
Wed Nov 14 11:24:27 2012  distribution of cycle lengths:
Wed Nov 14 11:24:27 2012  1 relations: 39376
Wed Nov 14 11:24:27 2012  2 relations: 39373
Wed Nov 14 11:24:27 2012  3 relations: 38799
Wed Nov 14 11:24:27 2012  4 relations: 34909
Wed Nov 14 11:24:27 2012  5 relations: 32100
Wed Nov 14 11:24:27 2012  6 relations: 27389
Wed Nov 14 11:24:27 2012  7 relations: 23956
Wed Nov 14 11:24:27 2012  8 relations: 20912
Wed Nov 14 11:24:27 2012  9 relations: 17986
Wed Nov 14 11:24:27 2012  10+ relations: 83159
Wed Nov 14 11:24:27 2012  heaviest cycle: 27 relations
Wed Nov 14 11:24:27 2012  RelProcTime: 347
Wed Nov 14 11:24:27 2012  
Wed Nov 14 11:24:27 2012  commencing linear algebra
Wed Nov 14 11:24:27 2012  read 357959 cycles
Wed Nov 14 11:24:28 2012  cycles contain 1291872 unique relations
Wed Nov 14 11:25:00 2012  read 1291872 relations
Wed Nov 14 11:25:02 2012  using 20 quadratic characters above 67107254
Wed Nov 14 11:25:14 2012  building initial matrix
Wed Nov 14 11:25:40 2012  memory use: 159.7 MB
Wed Nov 14 11:25:41 2012  read 357959 cycles
Wed Nov 14 11:25:41 2012  matrix is 357780 x 357959 (106.9 MB) with weight 34154548 (95.41/col)
Wed Nov 14 11:25:41 2012  sparse part has weight 24076621 (67.26/col)
Wed Nov 14 11:25:48 2012  filtering completed in 2 passes
Wed Nov 14 11:25:48 2012  matrix is 357124 x 357303 (106.8 MB) with weight 34124898 (95.51/col)
Wed Nov 14 11:25:48 2012  sparse part has weight 24066908 (67.36/col)
Wed Nov 14 11:25:50 2012  matrix starts at (0, 0)
Wed Nov 14 11:25:50 2012  matrix is 357124 x 357303 (106.8 MB) with weight 34124898 (95.51/col)
Wed Nov 14 11:25:50 2012  sparse part has weight 24066908 (67.36/col)
Wed Nov 14 11:25:50 2012  saving the first 48 matrix rows for later
Wed Nov 14 11:25:50 2012  matrix includes 64 packed rows
Wed Nov 14 11:25:50 2012  matrix is 357076 x 357303 (103.2 MB) with weight 27072303 (75.77/col)
Wed Nov 14 11:25:50 2012  sparse part has weight 23485285 (65.73/col)
Wed Nov 14 11:25:50 2012  using block size 65536 for processor cache size 12288 kB
Wed Nov 14 11:25:54 2012  commencing Lanczos iteration (8 threads)
Wed Nov 14 11:25:54 2012  memory use: 97.8 MB
Wed Nov 14 11:25:59 2012  checkpointing every 1460000 dimensions
Wed Nov 14 11:26:23 2012  linear algebra at 3.4%, ETA 0h13m
Wed Nov 14 11:36:48 2012  lanczos halted after 5648 iterations (dim = 357076)
Wed Nov 14 11:36:49 2012  recovered 35 nontrivial dependencies
Wed Nov 14 11:36:49 2012  BLanczosTime: 742
Wed Nov 14 11:36:49 2012  
Wed Nov 14 11:36:49 2012  commencing square root phase
Wed Nov 14 11:36:49 2012  reading relations for dependency 1
Wed Nov 14 11:36:49 2012  read 178545 cycles
Wed Nov 14 11:36:50 2012  cycles contain 645188 unique relations
Wed Nov 14 11:37:11 2012  read 645188 relations
Wed Nov 14 11:37:16 2012  multiplying 645188 relations
Wed Nov 14 11:38:13 2012  multiply complete, coefficients have about 27.95 million bits
Wed Nov 14 11:38:13 2012  initial square root is modulo 106287427
Wed Nov 14 11:39:27 2012  GCD is 1, no factor found
Wed Nov 14 11:39:27 2012  reading relations for dependency 2
Wed Nov 14 11:39:27 2012  read 178658 cycles
Wed Nov 14 11:39:28 2012  cycles contain 645774 unique relations
Wed Nov 14 11:39:45 2012  read 645774 relations
Wed Nov 14 11:39:49 2012  multiplying 645774 relations
Wed Nov 14 11:40:39 2012  multiply complete, coefficients have about 27.97 million bits
Wed Nov 14 11:40:39 2012  initial square root is modulo 108030281
Wed Nov 14 11:42:13 2012  GCD is N, no factor found
Wed Nov 14 11:42:13 2012  reading relations for dependency 3
Wed Nov 14 11:42:13 2012  read 178926 cycles
Wed Nov 14 11:42:14 2012  cycles contain 645460 unique relations
Wed Nov 14 11:42:35 2012  read 645460 relations
Wed Nov 14 11:42:40 2012  multiplying 645460 relations
Wed Nov 14 11:43:42 2012  multiply complete, coefficients have about 27.96 million bits
Wed Nov 14 11:43:43 2012  initial square root is modulo 106995991
Wed Nov 14 11:45:10 2012  GCD is 1, no factor found
Wed Nov 14 11:45:10 2012  reading relations for dependency 4
Wed Nov 14 11:45:10 2012  read 178565 cycles
Wed Nov 14 11:45:11 2012  cycles contain 646048 unique relations
Wed Nov 14 11:45:30 2012  read 646048 relations
Wed Nov 14 11:45:35 2012  multiplying 646048 relations
Wed Nov 14 11:46:19 2012  multiply complete, coefficients have about 27.98 million bits
Wed Nov 14 11:46:19 2012  initial square root is modulo 108855827
Wed Nov 14 11:47:34 2012  sqrtTime: 645

prp53 = 32534906948545232557824116550382860107495451088379207
prp52 = 2579038393656961250983047121250838536118347132240933
NFS elapsed time = 7131.7110 seconds.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 20, 2008 17:00:00 UTC 2008 年 12 月 21 日 (日) 2 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosNovember 13, 2010 03:36:05 UTC 2010 年 11 月 13 日 (土) 12 時 36 分 5 秒 (日本時間)
403e6110 / 2144Ignacio SantosNovember 13, 2010 03:36:05 UTC 2010 年 11 月 13 日 (土) 12 時 36 分 5 秒 (日本時間)
4511e632 / 4441Ignacio SantosNovember 13, 2010 03:36:05 UTC 2010 年 11 月 13 日 (土) 12 時 36 分 5 秒 (日本時間)

38×10193+439

c194

name 名前Jo Yeong Uk
date 日付January 8, 2009 14:05:45 UTC 2009 年 1 月 8 日 (木) 23 時 5 分 45 秒 (日本時間)
composite number 合成数
42222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227<194>
prime factors 素因数
152784569578034018071739097799518165623885883503374346108642124458545616770104505255344901<90>
276351351048296902131663932803456124639908210818778760937627498047154906872033486981422679102588102399927<105>
factorization results 素因数分解の結果
Number: 42227_193
N=42222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227
  ( 194 digits)
SNFS difficulty: 196 digits.
Divisors found:
 r1=152784569578034018071739097799518165623885883503374346108642124458545616770104505255344901
 r2=276351351048296902131663932803456124639908210818778760937627498047154906872033486981422679102588102399927
Version: 
Total time: 392.71 hours.
Scaled time: 938.57 units (timescale=2.390).
Factorization parameters were as follows:
n: 42222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227
m: 1000000000000000000000000000000000000000
deg: 5
c5: 19
c0: 2150
skew: 2.57
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [8000000, 17100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 24324690
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2685234 x 2685482
Total sieving time: 359.53 hours.
Total relation processing time: 12.20 hours.
Matrix solve time: 20.58 hours.
Time per square root: 0.40 hours.
Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,16000000,16000000,28,28,55,55,2.5,2.5,100000
total time: 392.71 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047064k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673804)
Calibrating delay using timer specific routine.. 5344.80 BogoMIPS (lpj=2672401)
Calibrating delay using timer specific routine.. 5344.34 BogoMIPS (lpj=2672172)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672347)
software ソフトウェア
GGNFS-0.77.1-20050930-nocona / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 20, 2008 17:00:00 UTC 2008 年 12 月 21 日 (日) 2 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkDecember 21, 2008 06:06:09 UTC 2008 年 12 月 21 日 (日) 15 時 6 分 9 秒 (日本時間)
403e62111Jo Yeong UkDecember 23, 2008 02:53:05 UTC 2008 年 12 月 23 日 (火) 11 時 53 分 5 秒 (日本時間)

38×10194+439

c167

composite cofactor 合成数の残り
44551410163543500204735625407721819343143347806707525925078889208330061064847497054807429086442743741013627137551891225474506393380053542080441486609613048144201303769<167>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 20, 2008 17:00:00 UTC 2008 年 12 月 21 日 (日) 2 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosNovember 13, 2010 03:36:34 UTC 2010 年 11 月 13 日 (土) 12 時 36 分 34 秒 (日本時間)
403e62710110Ignacio SantosNovember 13, 2010 03:36:34 UTC 2010 年 11 月 13 日 (土) 12 時 36 分 34 秒 (日本時間)
1000Dmitry DomanovNovember 16, 2012 14:53:13 UTC 2012 年 11 月 16 日 (金) 23 時 53 分 13 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:43:28 UTC 2014 年 1 月 9 日 (木) 13 時 43 分 28 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:00 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 0 秒 (日本時間)
4511e632 / 3866Ignacio SantosNovember 13, 2010 03:36:34 UTC 2010 年 11 月 13 日 (土) 12 時 36 分 34 秒 (日本時間)

38×10195+439

c182

name 名前Serge Batalov
date 日付December 22, 2008 18:12:17 UTC 2008 年 12 月 23 日 (火) 3 時 12 分 17 秒 (日本時間)
composite number 合成数
10375589480475058065531866481911416586425889010066812025422551031865617479497407863844508748447716559316907174499015218725277865899289478788823868238019132679786747409922006822592787<182>
prime factors 素因数
1110098676846052025875562910419707159<37>
9346547020444687949473270005207416033036409081717352834060726263287081343511433873690747964630107753834169432220989123151666306482271859585653093<145>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3282926492
Step 1 took 58616ms
Step 2 took 26203ms
********** Factor found in step 2: 1110098676846052025875562910419707159
Found probable prime factor of 37 digits: 1110098676846052025875562910419707159
Probable prime cofactor has 145 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 20, 2008 17:00:00 UTC 2008 年 12 月 21 日 (日) 2 時 0 分 0 秒 (日本時間)

38×10199+439

c184

name 名前matsui
date 日付May 29, 2011 10:13:36 UTC 2011 年 5 月 29 日 (日) 19 時 13 分 36 秒 (日本時間)
composite number 合成数
3120536104632145659897430191076402481853874680417597531285681074432240660964838591011195220375471535625129660719501022479908463654715878819469035138641767880243114672318380939008025679<184>
prime factors 素因数
72365997829416298432145443049205976123555951126837440848524762997<65>
43121579170206209996613321911181767721690080245531615025298411988886860819897016063852748817958782421282699501852205107<119>
factorization results 素因数分解の結果
N=3120536104632145659897430191076402481853874680417597531285681074432240660964838591011195220375471535625129660719501022479908463654715878819469035138641767880243114672318380939008025679
  ( 184 digits)
SNFS difficulty: 200 digits.
Divisors found:
 r1=72365997829416298432145443049205976123555951126837440848524762997 (pp65)
 r2=43121579170206209996613321911181767721690080245531615025298411988886860819897016063852748817958782421282699501852205107 (pp119)
Version: Msieve v. 1.49
Total time:
Scaled time: 90.37 units (timescale=0.699).
Factorization parameters were as follows:
n: 3120536104632145659897430191076402481853874680417597531285681074432240660964838591011195220375471535625129660719501022479908463654715878819469035138641767880243114672318380939008025679
m: 2000000000000000000000000000000000000000
deg: 5
c5: 11875
c0: 43
skew: 0.32
type: snfs
lss: 1
rlim: 15400000
alim: 15400000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 320000
Factor base limits: 15400000/15400000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [7700000, 16340001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3341662 x 3341886
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,200.000,5,0,0,0,0,0,0,0,0,15400000,15400000,29,29,56,56,2.6,2.6,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 20, 2008 17:00:00 UTC 2008 年 12 月 21 日 (日) 2 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosNovember 13, 2010 03:36:57 UTC 2010 年 11 月 13 日 (土) 12 時 36 分 57 秒 (日本時間)
403e6110 / 2144Ignacio SantosNovember 13, 2010 03:36:57 UTC 2010 年 11 月 13 日 (土) 12 時 36 分 57 秒 (日本時間)
4511e632 / 4441Ignacio SantosNovember 13, 2010 03:36:57 UTC 2010 年 11 月 13 日 (土) 12 時 36 分 57 秒 (日本時間)

38×10200+439

c166

name 名前Robert Backstrom
date 日付October 28, 2012 22:33:49 UTC 2012 年 10 月 29 日 (月) 7 時 33 分 49 秒 (日本時間)
composite number 合成数
2038297185338349755080110826670515121430521536351432234013764745172933337280196079953076774335376941868919621374894797442139023078662129249331697172989476347729990323<166>
prime factors 素因数
26620767628561935557593595387871290711122309282351735695550096776821263609<74>
76567934245120014923721776755286348886153194232386766033100749255186426595213422082722702347<92>
factorization results 素因数分解の結果
Number: n
N=2038297185338349755080110826670515121430521536351432234013764745172933337280196079953076774335376941868919621374894797442139023078662129249331697172989476347729990323
  ( 166 digits)
SNFS difficulty: 201 digits.
Divisors found:

Mon Oct 29 08:24:51 2012  prp74 factor: 26620767628561935557593595387871290711122309282351735695550096776821263609
Mon Oct 29 08:24:51 2012  prp92 factor: 76567934245120014923721776755286348886153194232386766033100749255186426595213422082722702347
Mon Oct 29 08:24:51 2012  elapsed time 07:49:19 (Msieve 1.44 - dependency 2)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.955).
Factorization parameters were as follows:
name: KA_42227_200
n: 2038297185338349755080110826670515121430521536351432234013764745172933337280196079953076774335376941868919621374894797442139023078662129249331697172989476347729990323
m: 10000000000000000000000000000000000000000
#  c166, diff: 201.58
skew: 1.025
deg: 5
c5: 38
c0: 43
# Murphy_E = 1.175e-11
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 42200000)
Primes: RFBsize:1031130, AFBsize:1030128,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9380247 hash collisions in 62162508 relations (55058391 unique)
Msieve: matrix is 2228616 x 2228842 (626.7 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,16000000,16000000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.42 BogoMIPS (lpj=2830711)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830461)
Total of 4 processors activated (22644.16 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 20, 2008 17:00:00 UTC 2008 年 12 月 21 日 (日) 2 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosNovember 13, 2010 03:37:28 UTC 2010 年 11 月 13 日 (土) 12 時 37 分 28 秒 (日本時間)
403e6110 / 2144Ignacio SantosNovember 13, 2010 03:37:28 UTC 2010 年 11 月 13 日 (土) 12 時 37 分 28 秒 (日本時間)
4511e632 / 4441Ignacio SantosNovember 13, 2010 03:37:28 UTC 2010 年 11 月 13 日 (土) 12 時 37 分 28 秒 (日本時間)

38×10201+439

c171

name 名前Robert Backstrom
date 日付October 31, 2012 00:33:40 UTC 2012 年 10 月 31 日 (水) 9 時 33 分 40 秒 (日本時間)
composite number 合成数
536227983860680818779281624123849573571437297482627492302439232091007808944540743368203352583933326691567573628253324738147846191265716147044904548233598258219389901447999<171>
prime factors 素因数
96670791076622297345830938563763588735590424317<47>
5546949372077247352095304186121597568670466715512396396110235781819324086913314834200255748682485875291997988942734539130347<124>
factorization results 素因数分解の結果
Number: n
N=536227983860680818779281624123849573571437297482627492302439232091007808944540743368203352583933326691567573628253324738147846191265716147044904548233598258219389901447999
  ( 171 digits)
SNFS difficulty: 202 digits.
Divisors found:

Wed Oct 31 06:53:09 2012  prp47 factor: 96670791076622297345830938563763588735590424317
Wed Oct 31 06:53:09 2012  prp124 factor: 5546949372077247352095304186121597568670466715512396396110235781819324086913314834200255748682485875291997988942734539130347
Wed Oct 31 06:53:09 2012  elapsed time 08:29:53 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.407).
Factorization parameters were as follows:
name: KA_42227_201
n: 536227983860680818779281624123849573571437297482627492302439232091007808944540743368203352583933326691567573628253324738147846191265716147044904548233598258219389901447999
m: 10000000000000000000000000000000000000000
#  c171, diff: 202.58
skew: 0.647
deg: 5
c5: 380
c0: 43
# Murphy_E = 1.001e-11
type: snfs
lss: 1
rlim: 16700000
alim: 16700000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 16700000/16700000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 46350000)
Primes: RFBsize:1073198, AFBsize:1073886,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9396921 hash collisions in 61858819 relations (54694243 unique)
Msieve: matrix is 2355309 x 2355534 (664.3 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,202,5,0,0,0,0,0,0,0,0,16700000,16700000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.42 BogoMIPS (lpj=2830711)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830461)
Total of 4 processors activated (22644.16 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 20, 2008 17:00:00 UTC 2008 年 12 月 21 日 (日) 2 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosNovember 13, 2010 11:09:22 UTC 2010 年 11 月 13 日 (土) 20 時 9 分 22 秒 (日本時間)
403e6110 / 2144Ignacio SantosNovember 13, 2010 11:09:22 UTC 2010 年 11 月 13 日 (土) 20 時 9 分 22 秒 (日本時間)
4511e632 / 4441Ignacio SantosNovember 13, 2010 11:09:22 UTC 2010 年 11 月 13 日 (土) 20 時 9 分 22 秒 (日本時間)

38×10202+439

c156

name 名前Robert Backstrom
date 日付November 1, 2012 21:49:47 UTC 2012 年 11 月 2 日 (金) 6 時 49 分 47 秒 (日本時間)
composite number 合成数
431300831195053945452298107495996625357278588681406368547721288341815500527774580386265894426329303753309599865758957800342060670670746475492859621429674601<156>
prime factors 素因数
12177595753171528456869788185542291304855088489<47>
35417568454161086701107852657490723258555028535246644413925456063322579411886749671840998994810273051266583809<110>
factorization results 素因数分解の結果
Number: n
N=431300831195053945452298107495996625357278588681406368547721288341815500527774580386265894426329303753309599865758957800342060670670746475492859621429674601
  ( 156 digits)
SNFS difficulty: 203 digits.
Divisors found:

Fri Nov  2 02:09:06 2012  prp47 factor: 12177595753171528456869788185542291304855088489
Fri Nov  2 02:09:06 2012  prp110 factor: 35417568454161086701107852657490723258555028535246644413925456063322579411886749671840998994810273051266583809
Fri Nov  2 02:09:06 2012  elapsed time 07:32:08 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.500).
Factorization parameters were as follows:
name: KA_42227_202
n: 431300831195053945452298107495996625357278588681406368547721288341815500527774580386265894426329303753309599865758957800342060670670746475492859621429674601
m: 10000000000000000000000000000000000000000
#  c156, diff: 203.58
skew: 0.408
deg: 5
c5: 3800
c0: 43
# Murphy_E = 9.875e-12
type: snfs
lss: 1
rlim: 17300000
alim: 17300000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 17300000/17300000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 42850000)
Primes: RFBsize:1109288, AFBsize:1109282,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 10043084 hash collisions in 65499713 relations (57170301 unique)
Msieve: matrix is 2206477 x 2206702 (625.4 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,203,5,0,0,0,0,0,0,0,0,17300000,17300000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.42 BogoMIPS (lpj=2830711)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830461)
Total of 4 processors activated (22644.16 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 20, 2008 17:00:00 UTC 2008 年 12 月 21 日 (日) 2 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosNovember 13, 2010 11:09:47 UTC 2010 年 11 月 13 日 (土) 20 時 9 分 47 秒 (日本時間)
403e6110 / 2144Ignacio SantosNovember 13, 2010 11:09:47 UTC 2010 年 11 月 13 日 (土) 20 時 9 分 47 秒 (日本時間)
4511e632 / 4441Ignacio SantosNovember 13, 2010 11:09:47 UTC 2010 年 11 月 13 日 (土) 20 時 9 分 47 秒 (日本時間)

38×10205+439

c175

name 名前Serge Batalov
date 日付December 20, 2008 22:14:39 UTC 2008 年 12 月 21 日 (日) 7 時 14 分 39 秒 (日本時間)
composite number 合成数
5572776961057712715900353822900908672896635448227790271619608205280335391057813816084029074198546640022718530701012867422185460248055486012785452667981768818237139384338804291<175>
prime factors 素因数
7446927812275566885066367640755661501<37>
748332346108083517204496076352281303579644183334234639264171266650967495931706368107585190904256579382948621638256477256434360566405057791<138>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2569832959
Step 1 took 16203ms
Step 2 took 8239ms
********** Factor found in step 2: 7446927812275566885066367640755661501
Found probable prime factor of 37 digits: 7446927812275566885066367640755661501
Probable prime cofactor has 138 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 20, 2008 17:00:00 UTC 2008 年 12 月 21 日 (日) 2 時 0 分 0 秒 (日本時間)

38×10206+439

c150

composite cofactor 合成数の残り
173128641721030958061975233979188257381896815159016715374249321877616569496465958769998706909466267201263561396445100815652215380704438469861467691723<150>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 13, 2012 10:00:00 UTC 2012 年 11 月 13 日 (火) 19 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 14, 2012 15:06:00 UTC 2012 年 11 月 15 日 (木) 0 時 6 分 0 秒 (日本時間)
403e61000Dmitry DomanovNovember 16, 2012 14:53:23 UTC 2012 年 11 月 16 日 (金) 23 時 53 分 23 秒 (日本時間)
4511e61300 / 42081000Dmitry DomanovNovember 17, 2012 21:28:42 UTC 2012 年 11 月 18 日 (日) 6 時 28 分 42 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:02 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 2 秒 (日本時間)

38×10207+439

c159

name 名前Dmitry Domanov
date 日付November 18, 2012 13:30:31 UTC 2012 年 11 月 18 日 (日) 22 時 30 分 31 秒 (日本時間)
composite number 合成数
222232680972454788810090359676139289639478592367739303691822350332709744523413223234216834259071480936251432067732741362199548559265872842031685867920132634053<159>
prime factors 素因数
133973310143063347853835908345548397261<39>
composite cofactor 合成数の残り
1658783236266564628924784708120714113634338357325612524825678555815012033394148216629968627566443677445851307270571194073<121>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2412398666
Step 1 took 96968ms
Step 2 took 32758ms
********** Factor found in step 2: 133973310143063347853835908345548397261
Found probable prime factor of 39 digits: 133973310143063347853835908345548397261
Composite cofactor 1658783236266564628924784708120714113634338357325612524825678555815012033394148216629968627566443677445851307270571194073 has 121 digits

c121

name 名前Dmitry Domanov
date 日付November 28, 2012 16:03:55 UTC 2012 年 11 月 29 日 (木) 1 時 3 分 55 秒 (日本時間)
composite number 合成数
1658783236266564628924784708120714113634338357325612524825678555815012033394148216629968627566443677445851307270571194073<121>
prime factors 素因数
80556888981324606222513148669775224923004123886370681311<56>
20591451050835864400734118420759243647201570902396778751529180743<65>
factorization results 素因数分解の結果
prp65 = 2059145105083586440073411842075924364720157090239prp56 = 80556888981324606222513148669775224923004123886370681311
NFS elapsed time = 51581.8258 seconds.
software ソフトウェア
YAFU 1.33

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 13, 2012 10:00:00 UTC 2012 年 11 月 13 日 (火) 19 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 14, 2012 15:05:53 UTC 2012 年 11 月 15 日 (木) 0 時 5 分 53 秒 (日本時間)
403e61000Dmitry DomanovNovember 16, 2012 14:53:31 UTC 2012 年 11 月 16 日 (金) 23 時 53 分 31 秒 (日本時間)
4511e61000 / 4208Dmitry DomanovNovember 17, 2012 21:28:57 UTC 2012 年 11 月 18 日 (日) 6 時 28 分 57 秒 (日本時間)

38×10208+439

c196

composite cofactor 合成数の残り
9035580814325595685602543277513599040439962924700121719502281582140201904468044273434938573927160192246210040702828105168027965926957089335688262890974017839110942758980296161447048572299469782413<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 13, 2012 10:00:00 UTC 2012 年 11 月 13 日 (火) 19 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 14, 2012 15:05:45 UTC 2012 年 11 月 15 日 (木) 0 時 5 分 45 秒 (日本時間)
403e626001000Dmitry DomanovNovember 16, 2012 14:53:40 UTC 2012 年 11 月 16 日 (金) 23 時 53 分 40 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:43:30 UTC 2014 年 1 月 9 日 (木) 13 時 43 分 30 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:00 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 0 秒 (日本時間)

38×10210+439

c200

name 名前Warut Roonguthai
date 日付November 13, 2012 20:49:12 UTC 2012 年 11 月 14 日 (水) 5 時 49 分 12 秒 (日本時間)
composite number 合成数
12196321356903062038307467549257764264366806323746048884151575812429090380835115484951276184800715744589517767380111538402644799544637514691132638522457861901854511834346986178513439539460823476129651<200>
prime factors 素因数
4096240917613864432553831126951<31>
composite cofactor 合成数の残り
2977442392233033800764998990900967682035743024222068763322996593219990876655851889087115510679294767951248192806849272034134109844025765962448075148742216453846081487701<169>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2500182734
Step 1 took 11607ms
Step 2 took 7004ms
********** Factor found in step 2: 4096240917613864432553831126951
Found probable prime factor of 31 digits: 4096240917613864432553831126951
Composite cofactor 2977442392233033800764998990900967682035743024222068763322996593219990876655851889087115510679294767951248192806849272034134109844025765962448075148742216453846081487701 has 169 digits
software ソフトウェア
GMP-ECM 6.3

c169

name 名前Dmitry Domanov
date 日付November 24, 2012 20:53:57 UTC 2012 年 11 月 25 日 (日) 5 時 53 分 57 秒 (日本時間)
composite number 合成数
2977442392233033800764998990900967682035743024222068763322996593219990876655851889087115510679294767951248192806849272034134109844025765962448075148742216453846081487701<169>
prime factors 素因数
17209130327662914280791113010547694543443<41>
173015273610132821042111232606683158205208225304109817958732753821981973634742851675884215588701352363135636800202215767270465207<129>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3792837137
Step 1 took 217734ms
Step 2 took 69588ms
********** Factor found in step 2: 17209130327662914280791113010547694543443
Found probable prime factor of 41 digits: 17209130327662914280791113010547694543443

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 13, 2012 10:00:00 UTC 2012 年 11 月 13 日 (火) 19 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 14, 2012 15:05:28 UTC 2012 年 11 月 15 日 (木) 0 時 5 分 28 秒 (日本時間)
403e61000Dmitry DomanovNovember 16, 2012 14:53:49 UTC 2012 年 11 月 16 日 (金) 23 時 53 分 49 秒 (日本時間)
4511e6400 / 4208Dmitry DomanovNovember 24, 2012 11:08:27 UTC 2012 年 11 月 24 日 (土) 20 時 8 分 27 秒 (日本時間)

38×10211+439

c195

name 名前Warut Roonguthai
date 日付November 13, 2012 22:57:06 UTC 2012 年 11 月 14 日 (水) 7 時 57 分 6 秒 (日本時間)
composite number 合成数
528568904605749683730090612236155036048383333554196278173315015773660143455213507313997220051184696766130311303317868639496742620543476858826680751600932753397482223529867418806544007420057477157<195>
prime factors 素因数
7212360327075835254318299589141331<34>
composite cofactor 合成数の残り
73286535979276508024083218439859925570653072237632861492814385959332273641499647057250084335552710317467712169330486446621296457693491487480270269833206013556647<161>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2768984612
Step 1 took 9891ms
Step 2 took 6599ms
********** Factor found in step 2: 7212360327075835254318299589141331
Found probable prime factor of 34 digits: 7212360327075835254318299589141331
Composite cofactor 73286535979276508024083218439859925570653072237632861492814385959332273641499647057250084335552710317467712169330486446621296457693491487480270269833206013556647 has 161 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 13, 2012 10:00:00 UTC 2012 年 11 月 13 日 (火) 19 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 14, 2012 15:05:20 UTC 2012 年 11 月 15 日 (木) 0 時 5 分 20 秒 (日本時間)
403e61000Dmitry DomanovNovember 16, 2012 14:53:58 UTC 2012 年 11 月 16 日 (金) 23 時 53 分 58 秒 (日本時間)
4511e61300 / 42081000Dmitry DomanovNovember 17, 2012 21:29:16 UTC 2012 年 11 月 18 日 (日) 6 時 29 分 16 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:02 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 2 秒 (日本時間)

38×10213+439

c202

composite cofactor 合成数の残り
2357519106224220695203896724243657378602791426679549348878828096124861748180215022377352157566004817212309180735331447524137835104733135779777908358061215840923515747567776327495886960025525839430932477<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 13, 2012 10:00:00 UTC 2012 年 11 月 13 日 (火) 19 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 14, 2012 15:05:13 UTC 2012 年 11 月 15 日 (木) 0 時 5 分 13 秒 (日本時間)
403e626001000Dmitry DomanovNovember 16, 2012 14:54:07 UTC 2012 年 11 月 16 日 (金) 23 時 54 分 7 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:43:31 UTC 2014 年 1 月 9 日 (木) 13 時 43 分 31 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:01 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 1 秒 (日本時間)

38×10216+439

c170

name 名前Warut Roonguthai
date 日付November 13, 2012 20:55:39 UTC 2012 年 11 月 14 日 (水) 5 時 55 分 39 秒 (日本時間)
composite number 合成数
45700491881763633813950303967283228914428830125567170281125668047448538342078319284073107595319098560888961855997552441770708366407876532145324043579277726283477605105999<170>
prime factors 素因数
4372884429995240932268432747113<31>
10450880331592337614397656499033191598272869787188856006813239241923877393503910692870686147222405423477966873220865944589826054893103064823<140>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3057810938
Step 1 took 7021ms
********** Factor found in step 1: 4372884429995240932268432747113
Found probable prime factor of 31 digits: 4372884429995240932268432747113
Probable prime cofactor 10450880331592337614397656499033191598272869787188856006813239241923877393503910692870686147222405423477966873220865944589826054893103064823 has 140 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 13, 2012 10:00:00 UTC 2012 年 11 月 13 日 (火) 19 時 0 分 0 秒 (日本時間)

38×10218+439

c150

composite cofactor 合成数の残り
823394309036956035227223094391642225752860580714160280956562822691819273601673384162544835694712105838713162377632145715361892166670726816025307796473<150>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 13, 2012 10:00:00 UTC 2012 年 11 月 13 日 (火) 19 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 14, 2012 15:04:58 UTC 2012 年 11 月 15 日 (木) 0 時 4 分 58 秒 (日本時間)
403e61000Dmitry DomanovNovember 16, 2012 14:55:35 UTC 2012 年 11 月 16 日 (金) 23 時 55 分 35 秒 (日本時間)
4511e634501000Dmitry DomanovNovember 17, 2012 21:29:32 UTC 2012 年 11 月 18 日 (日) 6 時 29 分 32 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:11:09 UTC 2013 年 11 月 9 日 (土) 2 時 11 分 9 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:25:10 UTC 2014 年 1 月 6 日 (月) 11 時 25 分 10 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:11 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 11 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:03 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 3 秒 (日本時間)
5043e61000 / 6735Rich DickersonNovember 20, 2015 10:01:21 UTC 2015 年 11 月 20 日 (金) 19 時 1 分 21 秒 (日本時間)

38×10219+439

c198

composite cofactor 合成数の残り
635138588668782169724619802637758637739163397715234182256924927918024860485708823344263165176818078581345516958710051897003493911112032078048979778731829213198331061042433020446254462068904906409449<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 13, 2012 10:00:00 UTC 2012 年 11 月 13 日 (火) 19 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 14, 2012 15:04:50 UTC 2012 年 11 月 15 日 (木) 0 時 4 分 50 秒 (日本時間)
403e626001000Dmitry DomanovNovember 16, 2012 14:55:43 UTC 2012 年 11 月 16 日 (金) 23 時 55 分 43 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:43:32 UTC 2014 年 1 月 9 日 (木) 13 時 43 分 32 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:01 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 1 秒 (日本時間)

38×10220+439

c194

name 名前Warut Roonguthai
date 日付November 13, 2012 23:02:22 UTC 2012 年 11 月 14 日 (水) 8 時 2 分 22 秒 (日本時間)
composite number 合成数
34610892404324633935058180229966661561471188680353214560860522901215295741754557379317406705718144110930732962297120622942891517303264030778664028088267983110166746643511417811182466470964070877<194>
prime factors 素因数
11452644377191494466161398539<29>
3022087411816779310045212582012244701509912896258531089649217268870858546294202479045851837686013078887532160335545632927520210690071767379565180450716806930095548343<166>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1167667276
Step 1 took 11528ms
Step 2 took 7020ms
********** Factor found in step 2: 11452644377191494466161398539
Found probable prime factor of 29 digits: 11452644377191494466161398539
Probable prime cofactor 3022087411816779310045212582012244701509912896258531089649217268870858546294202479045851837686013078887532160335545632927520210690071767379565180450716806930095548343 has 166 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 13, 2012 10:00:00 UTC 2012 年 11 月 13 日 (火) 19 時 0 分 0 秒 (日本時間)

38×10221+439

c212

composite cofactor 合成数の残り
19104406251397199337218497803668971259844354612589199287427307197593285693756471969446668690904497533952571659543007795646788599747537745911143099627476967036256377924223721002881183101882154257647533613644661591<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 13, 2012 10:00:00 UTC 2012 年 11 月 13 日 (火) 19 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 14, 2012 15:04:39 UTC 2012 年 11 月 15 日 (木) 0 時 4 分 39 秒 (日本時間)
403e613001000Dmitry DomanovNovember 16, 2012 14:55:51 UTC 2012 年 11 月 16 日 (金) 23 時 55 分 51 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:43:32 UTC 2014 年 1 月 9 日 (木) 13 時 43 分 32 秒 (日本時間)
4511e6516 / 4142216CypFebruary 16, 2014 00:48:31 UTC 2014 年 2 月 16 日 (日) 9 時 48 分 31 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:03 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 3 秒 (日本時間)

38×10223+439

c199

composite cofactor 合成数の残り
4053171164286276703680225280681837586512217675653185377035583923391481602900426792554123268207974678807368165737287171814578167100161234701583829045590065888519684059647511245088810701388117594540411<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 13, 2012 10:00:00 UTC 2012 年 11 月 13 日 (火) 19 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 14, 2012 15:04:21 UTC 2012 年 11 月 15 日 (木) 0 時 4 分 21 秒 (日本時間)
403e626001000Dmitry DomanovNovember 16, 2012 14:56:01 UTC 2012 年 11 月 16 日 (金) 23 時 56 分 1 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:43:33 UTC 2014 年 1 月 9 日 (木) 13 時 43 分 33 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:02 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 2 秒 (日本時間)

38×10224+439

c221

composite cofactor 合成数の残り
74374180416103967275360616914254398841328557728064509815434599651615681208776153289100268138492552795882019063276769811911612158221282758890650382635586088113831640342121229914078249466658837805570234670111365549096745151<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 13, 2012 10:00:00 UTC 2012 年 11 月 13 日 (火) 19 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 14, 2012 15:04:14 UTC 2012 年 11 月 15 日 (木) 0 時 4 分 14 秒 (日本時間)
403e61000Dmitry DomanovNovember 16, 2012 14:56:09 UTC 2012 年 11 月 16 日 (金) 23 時 56 分 9 秒 (日本時間)
4511e64450850Serge BatalovNovember 8, 2013 17:15:31 UTC 2013 年 11 月 9 日 (土) 2 時 15 分 31 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:28:30 UTC 2014 年 1 月 6 日 (月) 11 時 28 分 30 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:47 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 47 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:04 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 4 秒 (日本時間)
1000Serge BatalovDecember 18, 2014 00:18:43 UTC 2014 年 12 月 18 日 (木) 9 時 18 分 43 秒 (日本時間)
1000Serge BatalovDecember 21, 2014 10:24:38 UTC 2014 年 12 月 21 日 (日) 19 時 24 分 38 秒 (日本時間)

38×10225+439

c203

composite cofactor 合成数の残り
41670012931994247773868268681789611063551140605003468717289698237374581508799321119217946505057772323161824039683317200278152841216514357747143681310880369280309182935853936170962716925911984318089656269<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 13, 2012 10:00:00 UTC 2012 年 11 月 13 日 (火) 19 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 14, 2012 15:04:06 UTC 2012 年 11 月 15 日 (木) 0 時 4 分 6 秒 (日本時間)
403e626001000Dmitry DomanovNovember 16, 2012 14:56:18 UTC 2012 年 11 月 16 日 (金) 23 時 56 分 18 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:43:34 UTC 2014 年 1 月 9 日 (木) 13 時 43 分 34 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:02 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 2 秒 (日本時間)

38×10226+439

c193

composite cofactor 合成数の残り
5316792479568763001744408718888233192296237137329637083963946587085579924225844517692229876143682448150751863454320628271173415224089356226761117455457456007617019594889451546758251888009297847<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 13, 2012 10:00:00 UTC 2012 年 11 月 13 日 (火) 19 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 14, 2012 15:03:57 UTC 2012 年 11 月 15 日 (木) 0 時 3 分 57 秒 (日本時間)
403e626001000Dmitry DomanovNovember 16, 2012 14:56:27 UTC 2012 年 11 月 16 日 (金) 23 時 56 分 27 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:43:34 UTC 2014 年 1 月 9 日 (木) 13 時 43 分 34 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:02 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 2 秒 (日本時間)

38×10227+439

c152

composite cofactor 合成数の残り
71865956550814160222066334039577745159215171604174428572795488221745024673730613958469440060124077673681439610179854305225440661530958923545286017615999<152>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 13, 2012 10:00:00 UTC 2012 年 11 月 13 日 (火) 19 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 14, 2012 15:03:44 UTC 2012 年 11 月 15 日 (木) 0 時 3 分 44 秒 (日本時間)
403e61000Dmitry DomanovNovember 16, 2012 14:56:37 UTC 2012 年 11 月 16 日 (金) 23 時 56 分 37 秒 (日本時間)
4511e642101000Dmitry DomanovNovember 17, 2012 21:29:47 UTC 2012 年 11 月 18 日 (日) 6 時 29 分 47 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:11:27 UTC 2013 年 11 月 9 日 (土) 2 時 11 分 27 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:25:24 UTC 2014 年 1 月 6 日 (月) 11 時 25 分 24 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:26 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 26 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:04 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 4 秒 (日本時間)
760Ignacio SantosDecember 25, 2015 19:09:23 UTC 2015 年 12 月 26 日 (土) 4 時 9 分 23 秒 (日本時間)

38×10230+439

c211

composite cofactor 合成数の残り
6050382622985104328073471309570006736331061186441304167466394004677847018324246005912774484146639554077293846804717441145417105614548528298391781271922768066674606368916828981656992929458926257188709032169383721<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 13, 2012 10:00:00 UTC 2012 年 11 月 13 日 (火) 19 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 14, 2012 15:03:36 UTC 2012 年 11 月 15 日 (木) 0 時 3 分 36 秒 (日本時間)
403e613001000Dmitry DomanovNovember 16, 2012 14:57:43 UTC 2012 年 11 月 16 日 (金) 23 時 57 分 43 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:43:35 UTC 2014 年 1 月 9 日 (木) 13 時 43 分 35 秒 (日本時間)
4511e6516 / 4142216CypFebruary 14, 2014 21:35:48 UTC 2014 年 2 月 15 日 (土) 6 時 35 分 48 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:05 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 5 秒 (日本時間)

38×10231+439

c214

name 名前Warut Roonguthai
date 日付November 14, 2012 05:01:37 UTC 2012 年 11 月 14 日 (水) 14 時 1 分 37 秒 (日本時間)
composite number 合成数
8362701946967753030368778268917125859445198024187444042180599973231364561552026777691810024360946495112728011912504789044404572944406929933571961356760114253993652613506916376989172387278642620578781827840081156259<214>
prime factors 素因数
975934349255953033790617174254733631<36>
8568918547998060402015816805794973229322990000146293572735509927402034256371273697404478193409740910136615241693870214692943618140555372892785108861151151253838831046227791500189<178>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4120449308
Step 1 took 13510ms
Step 2 took 7784ms
********** Factor found in step 2: 975934349255953033790617174254733631
Found probable prime factor of 36 digits: 975934349255953033790617174254733631
Probable prime cofactor 8568918547998060402015816805794973229322990000146293572735509927402034256371273697404478193409740910136615241693870214692943618140555372892785108861151151253838831046227791500189 has 178 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 13, 2012 10:00:00 UTC 2012 年 11 月 13 日 (火) 19 時 0 分 0 秒 (日本時間)

38×10232+439

c213

composite cofactor 合成数の残り
650132013481519544813777904812436549567417532355792830220915181224136018414106304610348083990958785641539602075105123380617568063931343238208280704110266646825366525626348122759030520659678450599855591703134519169<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 13, 2012 10:00:00 UTC 2012 年 11 月 13 日 (火) 19 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 14, 2012 15:03:29 UTC 2012 年 11 月 15 日 (木) 0 時 3 分 29 秒 (日本時間)
403e626001000Dmitry DomanovNovember 16, 2012 14:57:53 UTC 2012 年 11 月 16 日 (金) 23 時 57 分 53 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:43:36 UTC 2014 年 1 月 9 日 (木) 13 時 43 分 36 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:03 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 3 秒 (日本時間)

38×10233+439

c226

composite cofactor 合成数の残り
1959082553329641318530053940291217013205763569110872553628592160687753706442801849615413045281300480160255757443704163342277571129883442264587207151641996767527191255140921971274625204346552326896255665164729325031972601042669<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 13, 2012 10:00:00 UTC 2012 年 11 月 13 日 (火) 19 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 14, 2012 15:02:57 UTC 2012 年 11 月 15 日 (木) 0 時 2 分 57 秒 (日本時間)
403e626001000Dmitry DomanovNovember 16, 2012 14:58:01 UTC 2012 年 11 月 16 日 (金) 23 時 58 分 1 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:43:36 UTC 2014 年 1 月 9 日 (木) 13 時 43 分 36 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:03 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 3 秒 (日本時間)

38×10234+439

c157

composite cofactor 合成数の残り
1905869413832902517815301722118225897232720785697456452489746881349999475918301805895238354763358397117346558840960732176559458672714646397753282838906952187<157>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 13, 2012 10:00:00 UTC 2012 年 11 月 13 日 (火) 19 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 14, 2012 15:02:50 UTC 2012 年 11 月 15 日 (木) 0 時 2 分 50 秒 (日本時間)
403e61000Dmitry DomanovNovember 16, 2012 14:58:09 UTC 2012 年 11 月 16 日 (金) 23 時 58 分 9 秒 (日本時間)
4511e642171000Dmitry DomanovNovember 17, 2012 21:30:01 UTC 2012 年 11 月 18 日 (日) 6 時 30 分 1 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:12:17 UTC 2013 年 11 月 9 日 (土) 2 時 12 分 17 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:26:07 UTC 2014 年 1 月 6 日 (月) 11 時 26 分 7 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:00 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 0 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:05 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 5 秒 (日本時間)
767Ignacio SantosDecember 25, 2015 10:35:27 UTC 2015 年 12 月 25 日 (金) 19 時 35 分 27 秒 (日本時間)

38×10235+439

c236

name 名前matsui
date 日付February 16, 2015 06:15:42 UTC 2015 年 2 月 16 日 (月) 15 時 15 分 42 秒 (日本時間)
composite number 合成数
42222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227<236>
prime factors 素因数
4286983116591264980875712486217211823366617761453939491924728075062493637784027410513398776939732030682170119483438351<118>
9848935970570053274718099654574207796711550627865497835694330372954191204899741309332653778657579830178607826820649277<118>
factorization results 素因数分解の結果
N=42222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227
  ( 236 digits)
SNFS difficulty: 236 digits.
Divisors found:
 r1=4286983116591264980875712486217211823366617761453939491924728075062493637784027410513398776939732030682170119483438351 (pp118)
 r2=9848935970570053274718099654574207796711550627865497835694330372954191204899741309332653778657579830178607826820649277 (pp118)
Version: Msieve v. 1.53 (SVN unknown)
Total time:
Scaled time: 244.86 units (timescale=1.881).
Factorization parameters were as follows:
n: 42222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227
m: 1000000000000000000000000000000000000000
deg: 6
c6: 380
c0: 43
skew: 0.70
# Murphy_E = 5.019e-13
type: snfs
lss: 1
rlim: 61000000
alim: 61000000
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.7
alambda: 2.7
#qintsize: 4800000
Factor base limits: 61000000/61000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 60/60
Sieved rational special-q in [30500000, 83500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 10413858 x 10414083
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,236.000,6,0,0,0,0,0,0,0,0,61000000,61000000,30,30,60,60,2.7,2.7,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 13, 2012 10:00:00 UTC 2012 年 11 月 13 日 (火) 19 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 14, 2012 15:02:41 UTC 2012 年 11 月 15 日 (木) 0 時 2 分 41 秒 (日本時間)
403e61000Dmitry DomanovNovember 16, 2012 14:59:02 UTC 2012 年 11 月 16 日 (金) 23 時 59 分 2 秒 (日本時間)
4511e622501000Dmitry DomanovNovember 17, 2012 21:32:24 UTC 2012 年 11 月 18 日 (日) 6 時 32 分 24 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:16:51 UTC 2013 年 11 月 9 日 (土) 2 時 16 分 51 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:29:30 UTC 2014 年 1 月 6 日 (月) 11 時 29 分 30 秒 (日本時間)
5043e61000 / 2182500Dmitry DomanovMarch 19, 2013 14:19:42 UTC 2013 年 3 月 19 日 (火) 23 時 19 分 42 秒 (日本時間)
500Serge BatalovJanuary 11, 2015 01:24:42 UTC 2015 年 1 月 11 日 (日) 10 時 24 分 42 秒 (日本時間)
5511e72000 / 17263Serge BatalovJanuary 28, 2014 06:03:40 UTC 2014 年 1 月 28 日 (火) 15 時 3 分 40 秒 (日本時間)

38×10236+439

c233

name 名前Dmitry Domanov
date 日付November 18, 2012 16:29:45 UTC 2012 年 11 月 19 日 (月) 1 時 29 分 45 秒 (日本時間)
composite number 合成数
63693199912840884329796684601330852650810412162048909672985702552756407033070179849482911784918120715375203231591827156769078627579155562260102914801964432376259197800908466167177888402809205343524245319387874826100802869546269757463<233>
prime factors 素因数
11939330649286274620313025642142247660991253<44>
composite cofactor 合成数の残り
5334737916538765276159665899763281262899426079206040476891479812131579251755315069812999977375823554031955415637838559350022595741315304755180374579807239221877354979080995920232240984584571<190>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=215142625
Step 1 took 181965ms
Step 2 took 51729ms
********** Factor found in step 2: 11939330649286274620313025642142247660991253
Found probable prime factor of 44 digits: 11939330649286274620313025642142247660991253

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 13, 2012 10:00:00 UTC 2012 年 11 月 13 日 (火) 19 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 14, 2012 15:02:33 UTC 2012 年 11 月 15 日 (木) 0 時 2 分 33 秒 (日本時間)
403e61000Dmitry DomanovNovember 16, 2012 14:59:10 UTC 2012 年 11 月 16 日 (金) 23 時 59 分 10 秒 (日本時間)
4511e61300 / 42081000Dmitry DomanovNovember 17, 2012 21:32:06 UTC 2012 年 11 月 18 日 (日) 6 時 32 分 6 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:06 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 6 秒 (日本時間)

38×10237+439

c183

composite cofactor 合成数の残り
320292130183742696993961381011326359587730602385946205362359252277124111374610014754450085337038441444525952851726248873612273781188261596010694589077192377730174532828130743012602389<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 13, 2012 10:00:00 UTC 2012 年 11 月 13 日 (火) 19 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 14, 2012 15:02:25 UTC 2012 年 11 月 15 日 (木) 0 時 2 分 25 秒 (日本時間)
403e626001000Dmitry DomanovNovember 16, 2012 14:59:19 UTC 2012 年 11 月 16 日 (金) 23 時 59 分 19 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:43:37 UTC 2014 年 1 月 9 日 (木) 13 時 43 分 37 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:04 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 4 秒 (日本時間)

38×10242+439

c240

name 名前Dmitry Domanov
date 日付November 29, 2012 09:18:14 UTC 2012 年 11 月 29 日 (木) 18 時 18 分 14 秒 (日本時間)
composite number 合成数
988810824876398646890450169138693728857663283892792089513400988810824876398646890450169138693728857663283892792089513400988810824876398646890450169138693728857663283892792089513400988810824876398646890450169138693728857663283892792089513401<240>
prime factors 素因数
81254179757386523341419829380558079001749<41>
composite cofactor 合成数の残り
12169353353007165570439188096442604312106525356187137537145670557850958906315952607618116752881762199871751242605360742850934748065722771781348723839814208311091983987274231266922443411578984339347349<200>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1117682478
Step 1 took 483837ms
Step 2 took 157824ms
********** Factor found in step 2: 81254179757386523341419829380558079001749
Found probable prime factor of 41 digits: 81254179757386523341419829380558079001749

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 13, 2012 10:00:00 UTC 2012 年 11 月 13 日 (火) 19 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 14, 2012 15:02:01 UTC 2012 年 11 月 15 日 (木) 0 時 2 分 1 秒 (日本時間)
403e61000Dmitry DomanovNovember 16, 2012 14:59:29 UTC 2012 年 11 月 16 日 (金) 23 時 59 分 29 秒 (日本時間)
4511e61300 / 28051000Dmitry DomanovNovember 17, 2012 21:31:41 UTC 2012 年 11 月 18 日 (日) 6 時 31 分 41 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:06 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 6 秒 (日本時間)
5043e6400 / 7217Dmitry DomanovNovember 28, 2012 07:11:06 UTC 2012 年 11 月 28 日 (水) 16 時 11 分 6 秒 (日本時間)

38×10243+439

c209

composite cofactor 合成数の残り
24989423096159168303854129394657717158014684036710776759039737588713735441029335741615112334436504857635685660050610094805887405470547785892571968676021440422262228435982422963617992600207283485591794993744077<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 13, 2012 10:00:00 UTC 2012 年 11 月 13 日 (火) 19 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 14, 2012 15:01:50 UTC 2012 年 11 月 15 日 (木) 0 時 1 分 50 秒 (日本時間)
403e613001000Dmitry DomanovNovember 16, 2012 14:59:36 UTC 2012 年 11 月 16 日 (金) 23 時 59 分 36 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:43:38 UTC 2014 年 1 月 9 日 (木) 13 時 43 分 38 秒 (日本時間)
4511e6516 / 4142216CypFebruary 16, 2014 06:22:53 UTC 2014 年 2 月 16 日 (日) 15 時 22 分 53 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:07 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 7 秒 (日本時間)

38×10244+439

c207

name 名前Warut Roonguthai
date 日付November 14, 2012 01:29:59 UTC 2012 年 11 月 14 日 (水) 10 時 29 分 59 秒 (日本時間)
composite number 合成数
429130729713989023348624705289118276161387836660332046884995304837260512196789185998465158974515680763121407707390181587617270451657636743982506136183173723196547847458217457842044588623418094783349574504289<207>
prime factors 素因数
13673308350672019812277561443301<32>
composite cofactor 合成数の残り
31384557322068874357582494939098456217576992929808171070557964932873855749774671159495693844706809916872071136836670021741972438793353951855992042063865742796006752827364400589<176>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4145250252
Step 1 took 9984ms
********** Factor found in step 1: 13673308350672019812277561443301
Found probable prime factor of 32 digits: 13673308350672019812277561443301
Composite cofactor 31384557322068874357582494939098456217576992929808171070557964932873855749774671159495693844706809916872071136836670021741972438793353951855992042063865742796006752827364400589 has 176 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 13, 2012 10:00:00 UTC 2012 年 11 月 13 日 (火) 19 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 14, 2012 15:01:40 UTC 2012 年 11 月 15 日 (木) 0 時 1 分 40 秒 (日本時間)
403e61000Dmitry DomanovNovember 16, 2012 14:59:44 UTC 2012 年 11 月 16 日 (金) 23 時 59 分 44 秒 (日本時間)
4511e6700 / 4208400Dmitry DomanovNovember 24, 2012 11:09:38 UTC 2012 年 11 月 24 日 (土) 20 時 9 分 38 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:07 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 7 秒 (日本時間)

38×10245+439

c239

name 名前Warut Roonguthai
date 日付November 14, 2012 00:28:41 UTC 2012 年 11 月 14 日 (水) 9 時 28 分 41 秒 (日本時間)
composite number 合成数
18523050979106783287990610606964845574372001913197190760941996386844931144433202414846256556471525300959485754089661773914863738904454832268923269523811208989349728261236476338759480761639974194660273328382511765586071355891085025683355687<239>
prime factors 素因数
4754655899274353311036117888193993<34>
3895771086596137625425285377751091557483151374216147529391297125024639995467643996186718702643364894857716210950232631975539709611003171617458785614833944209931851351629037856211259873587747361560446555759<205>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1025091357
Step 1 took 13057ms
Step 2 took 6926ms
********** Factor found in step 2: 4754655899274353311036117888193993
Found probable prime factor of 34 digits: 4754655899274353311036117888193993
Probable prime cofactor 3895771086596137625425285377751091557483151374216147529391297125024639995467643996186718702643364894857716210950232631975539709611003171617458785614833944209931851351629037856211259873587747361560446555759 has 205 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 13, 2012 10:00:00 UTC 2012 年 11 月 13 日 (火) 19 時 0 分 0 秒 (日本時間)

38×10246+439

c239

composite cofactor 合成数の残り
74351730829735242741349176607116428386881146600111849656636565348874003398449346520583281736656230364233730700093216917228184145108171975451664703849454618999435492310173217246880279150208006108675592987190924477466161260385026642250262647<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 13, 2012 10:00:00 UTC 2012 年 11 月 13 日 (火) 19 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 14, 2012 14:59:04 UTC 2012 年 11 月 14 日 (水) 23 時 59 分 4 秒 (日本時間)
403e626001000Dmitry DomanovNovember 16, 2012 14:59:53 UTC 2012 年 11 月 16 日 (金) 23 時 59 分 53 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:43:38 UTC 2014 年 1 月 9 日 (木) 13 時 43 分 38 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:04 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 4 秒 (日本時間)

38×10247+439

c169

name 名前Dmitry Domanov
date 日付January 28, 2013 07:12:05 UTC 2013 年 1 月 28 日 (月) 16 時 12 分 5 秒 (日本時間)
composite number 合成数
1828102754948398502323700511898033809801670785667017804668768648777248423467263772145647840392762373520076989985582423409292217884333365842237833642704778783359229962433<169>
prime factors 素因数
29362420701614236109820203649287044203787300349<47>
62259946941223965494632629197865083791893843764108515803915110385410921928855814590582281098812880357216284628147420618517<122>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2343901589
Step 1 took 290402ms
Step 2 took 82925ms
********** Factor found in step 2: 29362420701614236109820203649287044203787300349
Found probable prime factor of 47 digits: 29362420701614236109820203649287044203787300349

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 13, 2012 10:00:00 UTC 2012 年 11 月 13 日 (火) 19 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 14, 2012 14:59:12 UTC 2012 年 11 月 14 日 (水) 23 時 59 分 12 秒 (日本時間)
403e61000Dmitry DomanovNovember 16, 2012 15:00:01 UTC 2012 年 11 月 17 日 (土) 0 時 0 分 1 秒 (日本時間)
4511e61200Dmitry DomanovNovember 28, 2012 19:22:45 UTC 2012 年 11 月 29 日 (木) 4 時 22 分 45 秒 (日本時間)
5043e6900 / 7240Dmitry DomanovJanuary 25, 2013 09:53:21 UTC 2013 年 1 月 25 日 (金) 18 時 53 分 21 秒 (日本時間)

38×10248+439

c227

composite cofactor 合成数の残り
92130909381664427833242729598489338731279989737517609067379716590498734783445682582440261345273687029386445531133210416144305709169751228150142683217164371858046540457520757635378129043984365377486904797861875844358622433281827<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 13, 2012 10:00:00 UTC 2012 年 11 月 13 日 (火) 19 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 14, 2012 14:59:21 UTC 2012 年 11 月 14 日 (水) 23 時 59 分 21 秒 (日本時間)
403e613001000Dmitry DomanovNovember 16, 2012 15:00:11 UTC 2012 年 11 月 17 日 (土) 0 時 0 分 11 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:43:39 UTC 2014 年 1 月 9 日 (木) 13 時 43 分 39 秒 (日本時間)
4511e6516 / 4142216CypMarch 6, 2014 13:19:00 UTC 2014 年 3 月 6 日 (木) 22 時 19 分 0 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:08 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 8 秒 (日本時間)

38×10249+439

c167

composite cofactor 合成数の残り
17428512920521361148954081272632600197770332702889975450748350946859318213764894212855472593717062039126691960327051517539675262245539335099113992899896045290490787359<167>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 13, 2012 10:00:00 UTC 2012 年 11 月 13 日 (火) 19 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 14, 2012 14:59:30 UTC 2012 年 11 月 14 日 (水) 23 時 59 分 30 秒 (日本時間)
403e61000Dmitry DomanovNovember 16, 2012 15:00:19 UTC 2012 年 11 月 17 日 (土) 0 時 0 分 19 秒 (日本時間)
4511e60--
5043e62000 / 7509Markus TervoorenNovember 23, 2012 18:37:26 UTC 2012 年 11 月 24 日 (土) 3 時 37 分 26 秒 (日本時間)

38×10250+439

c247

composite cofactor 合成数の残り
2340867229706837180363820048911804747032334768654555758841393924833521218729401908422809903100417043977503033887133238466608761003616023852205035328614637812397972069757843445263747974841837457571781461563576105905761613473538960038932318136176871<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 13, 2012 10:00:00 UTC 2012 年 11 月 13 日 (火) 19 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 14, 2012 14:59:42 UTC 2012 年 11 月 14 日 (水) 23 時 59 分 42 秒 (日本時間)
403e61000Dmitry DomanovNovember 16, 2012 15:00:28 UTC 2012 年 11 月 17 日 (土) 0 時 0 分 28 秒 (日本時間)
4511e61000Dmitry DomanovNovember 17, 2012 21:30:57 UTC 2012 年 11 月 18 日 (日) 6 時 30 分 57 秒 (日本時間)
5043e6920Dmitry DomanovNovember 26, 2012 13:41:42 UTC 2012 年 11 月 26 日 (月) 22 時 41 分 42 秒 (日本時間)
5511e72650 / 17370yoyo@homeMarch 1, 2013 11:20:40 UTC 2013 年 3 月 1 日 (金) 20 時 20 分 40 秒 (日本時間)