Table of contents 目次

10102+293

c102

name 名前KTakahashi
date 日付December 19, 2014 12:54:55 UTC 2014 年 12 月 19 日 (金) 21 時 54 分 55 秒 (日本時間)
composite number 合成数
333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333343<102>
prime factors 素因数
158338119352913440756254853475829169517<39>
2105199522992818464614394698552845875625081492637925186086099579<64>
factorization results 素因数分解の結果
Number: 33343_102
N=333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333343
  ( 102 digits)
SNFS difficulty: 102 digits.
Divisors found:
 r1=158338119352913440756254853475829169517 (pp39)
 r2=2105199522992818464614394698552845875625081492637925186086099579 (pp64)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 0.29 hours.
Scaled time: 0.48 units (timescale=1.674).
Factorization parameters were as follows:
n: 333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333343
m: 10000000000000000000000000
c4: 100
c0: 29
skew: 0.73
type: snfs
Factor base limits: 300000/350000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [150000, 270001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 29372 x 29598
Total sieving time: 0.27 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,102.000,4,0,0,0,0,0,0,0,0,300000,350000,25,25,43,43,2.1,2.1,10000
total time: 0.29 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
3025e40--
351e6118 / 904Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)

10115+293

c110

name 名前KTakahashi
date 日付December 19, 2014 13:15:18 UTC 2014 年 12 月 19 日 (金) 22 時 15 分 18 秒 (日本時間)
composite number 合成数
25170340277830215986689924061083381786238368156499107711437150918843271842192034594115677849848852106631629553<110>
prime factors 素因数
178305902690841518711346496341656278215885083<45>
141163808365179051833136454788039502699127121020051568862333989091<66>
factorization results 素因数分解の結果
Number: 33343_115
N=25170340277830215986689924061083381786238368156499107711437150918843271842192034594115677849848852106631629553
  ( 110 digits)
SNFS difficulty: 115 digits.
Divisors found:
 r1=178305902690841518711346496341656278215885083 (pp45)
 r2=141163808365179051833136454788039502699127121020051568862333989091 (pp66)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.36 hours.
Scaled time: 2.37 units (timescale=1.742).
Factorization parameters were as follows:
n: 25170340277830215986689924061083381786238368156499107711437150918843271842192034594115677849848852106631629553
m: 100000000000000000000000
c5: 1
c0: 29
skew: 1.96
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 79324 x 79552
Total sieving time: 1.31 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,115.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.36 hours.
 --------- CPU info (if available) ----------

ECM

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

10118+293

c117

name 名前KTakahashi
date 日付December 19, 2014 13:31:31 UTC 2014 年 12 月 19 日 (金) 22 時 31 分 31 秒 (日本時間)
composite number 合成数
175438596491228070175438596491228070175438596491228070175438596491228070175438596491228070175438596491228070175438597<117>
prime factors 素因数
1343148524249767503950544017113307796519269<43>
130617421174044399959702885452750411986231838126381434337598079480007834913<75>
factorization results 素因数分解の結果
Number: 33343_118
N=175438596491228070175438596491228070175438596491228070175438596491228070175438596491228070175438596491228070175438597
  ( 117 digits)
SNFS difficulty: 118 digits.
Divisors found:
 r1=1343148524249767503950544017113307796519269 (pp43)
 r2=130617421174044399959702885452750411986231838126381434337598079480007834913 (pp75)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.92 hours.
Scaled time: 3.21 units (timescale=1.667).
Factorization parameters were as follows:
n: 175438596491228070175438596491228070175438596491228070175438596491228070175438596491228070175438596491228070175438597
m: 200000000000000000000000
c5: 125
c0: 116
skew: 0.99
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 89086 x 89324
Total sieving time: 1.87 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,118.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.92 hours.
 --------- CPU info (if available) ----------

ECM

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

10122+293

c109

name 名前KTakahashi
date 日付December 19, 2014 13:39:24 UTC 2014 年 12 月 19 日 (金) 22 時 39 分 24 秒 (日本時間)
composite number 合成数
1081831334054776630687871089283164724702810383627294395276108637529167537167873649261683062823848392206687091<109>
prime factors 素因数
3438692521193784865066048351586931743477<40>
314605428483965013451128393149853363470015542304979889415712379120583<69>
factorization results 素因数分解の結果
Number: 33343_122
N=1081831334054776630687871089283164724702810383627294395276108637529167537167873649261683062823848392206687091
  ( 109 digits)
SNFS difficulty: 122 digits.
Divisors found:
 r1=3438692521193784865066048351586931743477 (pp40)
 r2=314605428483965013451128393149853363470015542304979889415712379120583 (pp69)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.90 hours.
Scaled time: 2.92 units (timescale=1.535).
Factorization parameters were as follows:
n: 1081831334054776630687871089283164724702810383627294395276108637529167537167873649261683062823848392206687091
m: 1000000000000000000000000
c5: 100
c0: 29
skew: 0.78
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 130025 x 130251
Total sieving time: 1.81 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,122.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.90 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 19, 2014 13:38:49 UTC 2014 年 12 月 19 日 (金) 22 時 38 分 49 秒 (日本時間)

10123+293

c114

name 名前KTakahashi
date 日付December 19, 2014 13:48:57 UTC 2014 年 12 月 19 日 (金) 22 時 48 分 57 秒 (日本時間)
composite number 合成数
294839892322265921513914914025349314385520773536209809190126834392937930977808431180646925762511472526106647651357<114>
prime factors 素因数
5787356228463327810781822446401129<34>
50945523427810921279783580139969159188547042645278291087768603833653475152662933<80>
factorization results 素因数分解の結果
Input number is 294839892322265921513914914025349314385520773536209809190126834392937930977808431180646925762511472526106647651357 (114 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=946402540
Step 1 took 3245ms
Step 2 took 2184ms
********** Factor found in step 2: 5787356228463327810781822446401129
Found probable prime factor of 34 digits: 5787356228463327810781822446401129
Probable prime cofactor 50945523427810921279783580139969159188547042645278291087768603833653475152662933 has 80 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

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

10126+293

c109

name 名前Cyp
date 日付December 20, 2014 03:53:13 UTC 2014 年 12 月 20 日 (土) 12 時 53 分 13 秒 (日本時間)
composite number 合成数
9613171210938883000062000954017563434510717573890188110390993795088323263396818946318823660744785125567328987<109>
prime factors 素因数
71787858278726997484458053355280057<35>
133910823382058861097501670884174348309634187110645584167600057010987453491<75>
factorization results 素因数分解の結果
12/20/14 04:23:23 v1.34.3, 
12/20/14 04:23:23 v1.34.3, ****************************
12/20/14 04:23:23 v1.34.3, Starting factorization of 9613171210938883000062000954017563434510717573890188110390993795088323263396818946318823660744785125567328987
12/20/14 04:23:23 v1.34.3, using pretesting plan: none
12/20/14 04:23:23 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/20/14 04:23:23 v1.34.3, ****************************
12/20/14 04:23:23 v1.34.3, nfs: commencing nfs on c109: 9613171210938883000062000954017563434510717573890188110390993795088323263396818946318823660744785125567328987
12/20/14 04:23:23 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/20/14 04:23:23 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 04:23:47 v1.34.3, nfs: commencing lattice sieving with 8 threads
[80 lines snipped]
12/20/14 04:50:36 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 04:50:54 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 04:51:10 v1.34.3, nfs: commencing msieve filtering
12/20/14 04:52:13 v1.34.3, nfs: commencing msieve linear algebra
12/20/14 04:53:06 v1.34.3, nfs: commencing msieve sqrt
12/20/14 04:53:12 v1.34.3, prp75 = 133910823382058861097501670884174348309634187110645584167600057010987453491
12/20/14 04:53:12 v1.34.3, prp35 = 71787858278726997484458053355280057
12/20/14 04:53:12 v1.34.3, NFS elapsed time = 1788.8299 seconds.
12/20/14 04:53:12 v1.34.3, 
12/20/14 04:53:12 v1.34.3, 
12/20/14 04:53:12 v1.34.3, Total factoring time = 1788.8304 seconds
--
Sat Dec 20 04:51:10 2014  
Sat Dec 20 04:51:10 2014  commencing relation filtering
Sat Dec 20 04:51:10 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 04:51:10 2014  commencing duplicate removal, pass 1
Sat Dec 20 04:51:27 2014  found 693127 hash collisions in 4481589 relations
Sat Dec 20 04:51:32 2014  added 165587 free relations
Sat Dec 20 04:51:32 2014  commencing duplicate removal, pass 2
Sat Dec 20 04:51:37 2014  found 562992 duplicates and 4084184 unique relations
Sat Dec 20 04:51:37 2014  memory use: 20.6 MB
Sat Dec 20 04:51:37 2014  reading ideals above 100000
Sat Dec 20 04:51:37 2014  commencing singleton removal, initial pass
Sat Dec 20 04:52:02 2014  memory use: 94.1 MB
Sat Dec 20 04:52:02 2014  reading all ideals from disk
Sat Dec 20 04:52:02 2014  memory use: 117.2 MB
Sat Dec 20 04:52:02 2014  keeping 3976534 ideals with weight <= 200, target excess is 21806
Sat Dec 20 04:52:02 2014  commencing in-memory singleton removal
Sat Dec 20 04:52:03 2014  begin with 4084184 relations and 3976534 unique ideals
Sat Dec 20 04:52:04 2014  reduce to 2005204 relations and 1310658 ideals in 9 passes
Sat Dec 20 04:52:04 2014  max relations containing the same ideal: 125
Sat Dec 20 04:52:05 2014  removing 812578 relations and 477952 ideals in 334626 cliques
Sat Dec 20 04:52:05 2014  commencing in-memory singleton removal
Sat Dec 20 04:52:05 2014  begin with 1192626 relations and 1310658 unique ideals
Sat Dec 20 04:52:06 2014  reduce to 1122778 relations and 754015 ideals in 6 passes
Sat Dec 20 04:52:06 2014  max relations containing the same ideal: 78
Sat Dec 20 04:52:06 2014  removing 356918 relations and 196502 ideals in 160416 cliques
Sat Dec 20 04:52:06 2014  commencing in-memory singleton removal
Sat Dec 20 04:52:06 2014  begin with 765860 relations and 754015 unique ideals
Sat Dec 20 04:52:07 2014  reduce to 740602 relations and 530127 ideals in 5 passes
Sat Dec 20 04:52:07 2014  max relations containing the same ideal: 59
Sat Dec 20 04:52:07 2014  removing 170597 relations and 93595 ideals in 77002 cliques
Sat Dec 20 04:52:07 2014  commencing in-memory singleton removal
Sat Dec 20 04:52:07 2014  begin with 570005 relations and 530127 unique ideals
Sat Dec 20 04:52:07 2014  reduce to 555635 relations and 421232 ideals in 5 passes
Sat Dec 20 04:52:07 2014  max relations containing the same ideal: 53
Sat Dec 20 04:52:07 2014  removing 118213 relations and 64465 ideals in 53748 cliques
Sat Dec 20 04:52:07 2014  commencing in-memory singleton removal
Sat Dec 20 04:52:07 2014  begin with 437422 relations and 421232 unique ideals
Sat Dec 20 04:52:07 2014  reduce to 427054 relations and 345768 ideals in 5 passes
Sat Dec 20 04:52:07 2014  max relations containing the same ideal: 43
Sat Dec 20 04:52:07 2014  removing 89457 relations and 48828 ideals in 40629 cliques
Sat Dec 20 04:52:07 2014  commencing in-memory singleton removal
Sat Dec 20 04:52:07 2014  begin with 337597 relations and 345768 unique ideals
Sat Dec 20 04:52:08 2014  reduce to 329097 relations and 287912 ideals in 5 passes
Sat Dec 20 04:52:08 2014  max relations containing the same ideal: 36
Sat Dec 20 04:52:08 2014  removing 38572 relations and 22682 ideals in 15890 cliques
Sat Dec 20 04:52:08 2014  commencing in-memory singleton removal
Sat Dec 20 04:52:08 2014  begin with 290525 relations and 287912 unique ideals
Sat Dec 20 04:52:08 2014  reduce to 286223 relations and 260708 ideals in 6 passes
Sat Dec 20 04:52:08 2014  max relations containing the same ideal: 35
Sat Dec 20 04:52:08 2014  relations with 0 large ideals: 510
Sat Dec 20 04:52:08 2014  relations with 1 large ideals: 1045
Sat Dec 20 04:52:08 2014  relations with 2 large ideals: 8603
Sat Dec 20 04:52:08 2014  relations with 3 large ideals: 33006
Sat Dec 20 04:52:08 2014  relations with 4 large ideals: 69221
Sat Dec 20 04:52:08 2014  relations with 5 large ideals: 82630
Sat Dec 20 04:52:08 2014  relations with 6 large ideals: 61425
Sat Dec 20 04:52:08 2014  relations with 7+ large ideals: 29783
Sat Dec 20 04:52:08 2014  commencing 2-way merge
Sat Dec 20 04:52:08 2014  reduce to 242854 relation sets and 217339 unique ideals
Sat Dec 20 04:52:08 2014  commencing full merge
Sat Dec 20 04:52:11 2014  memory use: 23.9 MB
Sat Dec 20 04:52:11 2014  found 108764 cycles, need 105539
Sat Dec 20 04:52:11 2014  weight of 105539 cycles is about 7703411 (72.99/cycle)
Sat Dec 20 04:52:11 2014  distribution of cycle lengths:
Sat Dec 20 04:52:11 2014  1 relations: 3160
Sat Dec 20 04:52:11 2014  2 relations: 7636
Sat Dec 20 04:52:11 2014  3 relations: 10122
Sat Dec 20 04:52:11 2014  4 relations: 10881
Sat Dec 20 04:52:11 2014  5 relations: 10796
Sat Dec 20 04:52:11 2014  6 relations: 10363
Sat Dec 20 04:52:11 2014  7 relations: 9369
Sat Dec 20 04:52:11 2014  8 relations: 8301
Sat Dec 20 04:52:11 2014  9 relations: 7288
Sat Dec 20 04:52:11 2014  10+ relations: 27623
Sat Dec 20 04:52:11 2014  heaviest cycle: 21 relations
Sat Dec 20 04:52:11 2014  commencing cycle optimization
Sat Dec 20 04:52:11 2014  start with 757328 relations
Sat Dec 20 04:52:13 2014  pruned 47079 relations
Sat Dec 20 04:52:13 2014  memory use: 19.6 MB
Sat Dec 20 04:52:13 2014  distribution of cycle lengths:
Sat Dec 20 04:52:13 2014  1 relations: 3160
Sat Dec 20 04:52:13 2014  2 relations: 7930
Sat Dec 20 04:52:13 2014  3 relations: 10819
Sat Dec 20 04:52:13 2014  4 relations: 11699
Sat Dec 20 04:52:13 2014  5 relations: 11732
Sat Dec 20 04:52:13 2014  6 relations: 11149
Sat Dec 20 04:52:13 2014  7 relations: 10044
Sat Dec 20 04:52:13 2014  8 relations: 8607
Sat Dec 20 04:52:13 2014  9 relations: 7427
Sat Dec 20 04:52:13 2014  10+ relations: 22972
Sat Dec 20 04:52:13 2014  heaviest cycle: 21 relations
Sat Dec 20 04:52:13 2014  RelProcTime: 63
Sat Dec 20 04:52:13 2014  
Sat Dec 20 04:52:13 2014  commencing linear algebra
Sat Dec 20 04:52:13 2014  read 105539 cycles
Sat Dec 20 04:52:13 2014  cycles contain 276869 unique relations
Sat Dec 20 04:52:17 2014  read 276869 relations
Sat Dec 20 04:52:17 2014  using 20 quadratic characters above 66768270
Sat Dec 20 04:52:18 2014  building initial matrix
Sat Dec 20 04:52:20 2014  memory use: 34.8 MB
Sat Dec 20 04:52:20 2014  read 105539 cycles
Sat Dec 20 04:52:20 2014  matrix is 105366 x 105539 (31.3 MB) with weight 9565188 (90.63/col)
Sat Dec 20 04:52:20 2014  sparse part has weight 7047264 (66.77/col)
Sat Dec 20 04:52:20 2014  filtering completed in 2 passes
Sat Dec 20 04:52:20 2014  matrix is 105349 x 105525 (31.3 MB) with weight 9564486 (90.64/col)
Sat Dec 20 04:52:20 2014  sparse part has weight 7046861 (66.78/col)
Sat Dec 20 04:52:20 2014  matrix starts at (0, 0)
Sat Dec 20 04:52:20 2014  matrix is 105349 x 105525 (31.3 MB) with weight 9564486 (90.64/col)
Sat Dec 20 04:52:20 2014  sparse part has weight 7046861 (66.78/col)
Sat Dec 20 04:52:20 2014  saving the first 48 matrix rows for later
Sat Dec 20 04:52:20 2014  matrix includes 64 packed rows
Sat Dec 20 04:52:20 2014  matrix is 105301 x 105525 (29.4 MB) with weight 7469145 (70.78/col)
Sat Dec 20 04:52:20 2014  sparse part has weight 6648831 (63.01/col)
Sat Dec 20 04:52:20 2014  using block size 42120 for processor cache size 8192 kB
Sat Dec 20 04:52:21 2014  commencing Lanczos iteration
Sat Dec 20 04:52:21 2014  memory use: 21.8 MB
Sat Dec 20 04:52:26 2014  linear algebra at 11.5%, ETA 0h 0m
Sat Dec 20 04:53:06 2014  lanczos halted after 1667 iterations (dim = 105300)
Sat Dec 20 04:53:06 2014  recovered 37 nontrivial dependencies
Sat Dec 20 04:53:06 2014  BLanczosTime: 53
Sat Dec 20 04:53:06 2014  
Sat Dec 20 04:53:06 2014  commencing square root phase
Sat Dec 20 04:53:06 2014  reading relations for dependency 1
Sat Dec 20 04:53:06 2014  read 52978 cycles
Sat Dec 20 04:53:06 2014  cycles contain 138698 unique relations
Sat Dec 20 04:53:09 2014  read 138698 relations
Sat Dec 20 04:53:09 2014  multiplying 138698 relations
Sat Dec 20 04:53:10 2014  multiply complete, coefficients have about 3.06 million bits
Sat Dec 20 04:53:10 2014  initial square root is modulo 10990541
Sat Dec 20 04:53:12 2014  sqrtTime: 6
--
n: 9613171210938883000062000954017563434510717573890188110390993795088323263396818946318823660744785125567328987
m: 10000000000000000000000000
deg: 5
c5: 10
c0: 29
skew: 1.24
# Murphy_E = 1.133e-08
type: snfs
lss: 1
rlim: 880000
alim: 880000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 19, 2014 13:55:32 UTC 2014 年 12 月 19 日 (金) 22 時 55 分 32 秒 (日本時間)

10129+293

c125

name 名前KTakahashi
date 日付December 19, 2014 14:16:59 UTC 2014 年 12 月 19 日 (金) 23 時 16 分 59 秒 (日本時間)
composite number 合成数
11025479884011951620194268955556290587547823018996901840152592641594725410423488682344899061731661870582917121467711882159671<125>
prime factors 素因数
4181236578629952133975149524946299<34>
2317025767351854916610167497022766234639<40>
1138051450364671030228152423038678449003357233918011<52>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM]
Input number is 11025479884011951620194268955556290587547823018996901840152592641594725410423488682344899061731661870582917121467711882159671 (125 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=704520128
Step 1 took 3135ms
Step 2 took 1981ms
********** Factor found in step 2: 4181236578629952133975149524946299
Found probable prime factor of 34 digits: 4181236578629952133975149524946299
Composite cofactor 2636894535067093321683206552644802641704824316609179938830226682251155301574582447714183029 has 91 digits

Msieve v. 1.51 (SVN Official Release)
Sun Dec 14 11:59:58 2014
random seeds: cd0f7f5c cebd8a7b
factoring 2636894535067093321683206552644802641704824316609179938830226682251155301574582447714183029 (91 digits)
searching for 15-digit factors
commencing quadratic sieve (91-digit input)
using multiplier of 1
using VC8 64kb sieve core
sieve interval: 18 blocks of size 65536
processing polynomials in batches of 6
using a sieve bound of 1685119 (63529 primes)
using large prime bound of 155030948 (27 bits)
using double large prime bound of 553035544531532 (42-49 bits)
using trial factoring cutoff of 49 bits
polynomial 'A' values have 12 factors
63813 relations (16696 full + 47117 combined from 728508 partial), need 63625
begin with 745204 relations
reduce to 158109 relations in 11 passes
attempting to read 158109 relations
recovered 158109 relations
recovered 136639 polynomials
attempting to build 63813 cycles
found 63813 cycles in 5 passes
distribution of cycle lengths:
   length 1 : 16696
   length 2 : 11981
   length 3 : 11144
   length 4 : 8525
   length 5 : 6120
   length 6 : 3861
   length 7 : 2470
   length 9+: 3016
largest cycle: 19 relations
matrix is 63529 x 63813 (16.6 MB) with weight 3847481 (60.29/col)
sparse part has weight 3847481 (60.29/col)
filtering completed in 3 passes
matrix is 59646 x 59709 (15.6 MB) with weight 3617116 (60.58/col)
sparse part has weight 3617116 (60.58/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 59598 x 59709 (10.3 MB) with weight 2867346 (48.02/col)
sparse part has weight 2113150 (35.39/col)
using block size 23839 for processor cache size 1024 kB
commencing Lanczos iteration
memory use: 6.4 MB
lanczos halted after 944 iterations (dim = 59594)
recovered 14 nontrivial dependencies
prp40 factor: 2317025767351854916610167497022766234639
prp52 factor: 1138051450364671030228152423038678449003357233918011
elapsed time 01:19:22

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 19, 2014 14:15:28 UTC 2014 年 12 月 19 日 (金) 23 時 15 分 28 秒 (日本時間)

10130+293

c113

name 名前KTakahashi
date 日付December 19, 2014 14:09:27 UTC 2014 年 12 月 19 日 (金) 23 時 9 分 27 秒 (日本時間)
composite number 合成数
13558174611134218229913031508379523665159739286332438199674445688438422101166926627556875006996121109540257859733<113>
prime factors 素因数
3868788464403933855296948497693<31>
3504501405512522089212573650442234272794821297545196055086286590116388199574456281<82>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0] [P-1]
Input number is 13558174611134218229913031508379523665159739286332438199674445688438422101166926627556875006996121109540257859733 (113 digits)
Using B1=8000000, B2=5279712046, polynomial x^1, x0=2270268000
Step 1 took 1794ms
Step 2 took 1232ms
********** Factor found in step 2: 3868788464403933855296948497693
Found probable prime factor of 31 digits: 3868788464403933855296948497693
Probable prime cofactor 3504501405512522089212573650442234272794821297545196055086286590116388199574456281 has 82 digits

ECM

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

10132+293

c123

name 名前Cyp
date 日付December 20, 2014 11:12:57 UTC 2014 年 12 月 20 日 (土) 20 時 12 分 57 秒 (日本時間)
composite number 合成数
680496018420177959603228984365823777010361095596765927157148884266928175298180578958976143056943390324922510744526862560933<123>
prime factors 素因数
6493749118292742575787191888804912857868793498307597<52>
104792471348059360247322166803358245864512421063889263854015764022218489<72>
factorization results 素因数分解の結果
12/20/14 11:28:16 v1.34.3, 
12/20/14 11:28:16 v1.34.3, ****************************
12/20/14 11:28:16 v1.34.3, Starting factorization of 680496018420177959603228984365823777010361095596765927157148884266928175298180578958976143056943390324922510744526862560933
12/20/14 11:28:16 v1.34.3, using pretesting plan: none
12/20/14 11:28:16 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/20/14 11:28:16 v1.34.3, ****************************
12/20/14 11:28:16 v1.34.3, nfs: commencing nfs on c123: 680496018420177959603228984365823777010361095596765927157148884266928175298180578958976143056943390324922510744526862560933
12/20/14 11:28:16 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/20/14 11:28:16 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 11:29:31 v1.34.3, nfs: commencing lattice sieving with 8 threads
[27 lines snipped]
12/20/14 12:06:52 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 12:08:16 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 12:09:36 v1.34.3, nfs: commencing msieve filtering
12/20/14 12:10:52 v1.34.3, nfs: commencing msieve linear algebra
12/20/14 12:12:45 v1.34.3, nfs: commencing msieve sqrt
12/20/14 12:12:57 v1.34.3, prp52 = 6493749118292742575787191888804912857868793498307597
12/20/14 12:12:57 v1.34.3, prp72 = 104792471348059360247322166803358245864512421063889263854015764022218489
12/20/14 12:12:57 v1.34.3, NFS elapsed time = 2680.8845 seconds.
12/20/14 12:12:57 v1.34.3, 
12/20/14 12:12:57 v1.34.3, 
12/20/14 12:12:57 v1.34.3, Total factoring time = 2680.8851 seconds
--
Sat Dec 20 12:09:36 2014  
Sat Dec 20 12:09:36 2014  commencing relation filtering
Sat Dec 20 12:09:36 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 12:09:36 2014  commencing duplicate removal, pass 1
Sat Dec 20 12:09:58 2014  found 589599 hash collisions in 4534854 relations
Sat Dec 20 12:10:05 2014  added 172648 free relations
Sat Dec 20 12:10:05 2014  commencing duplicate removal, pass 2
Sat Dec 20 12:10:10 2014  found 409929 duplicates and 4297573 unique relations
Sat Dec 20 12:10:10 2014  memory use: 20.6 MB
Sat Dec 20 12:10:10 2014  reading ideals above 100000
Sat Dec 20 12:10:10 2014  commencing singleton removal, initial pass
Sat Dec 20 12:10:41 2014  memory use: 94.1 MB
Sat Dec 20 12:10:41 2014  reading all ideals from disk
Sat Dec 20 12:10:41 2014  memory use: 129.4 MB
Sat Dec 20 12:10:41 2014  keeping 4221078 ideals with weight <= 200, target excess is 23227
Sat Dec 20 12:10:42 2014  commencing in-memory singleton removal
Sat Dec 20 12:10:42 2014  begin with 4297573 relations and 4221078 unique ideals
Sat Dec 20 12:10:43 2014  reduce to 2125572 relations and 1465818 ideals in 10 passes
Sat Dec 20 12:10:43 2014  max relations containing the same ideal: 125
Sat Dec 20 12:10:44 2014  removing 800187 relations and 483782 ideals in 316405 cliques
Sat Dec 20 12:10:44 2014  commencing in-memory singleton removal
Sat Dec 20 12:10:44 2014  begin with 1325385 relations and 1465818 unique ideals
Sat Dec 20 12:10:45 2014  reduce to 1235092 relations and 879676 ideals in 7 passes
Sat Dec 20 12:10:45 2014  max relations containing the same ideal: 85
Sat Dec 20 12:10:45 2014  removing 489894 relations and 274143 ideals in 215751 cliques
Sat Dec 20 12:10:45 2014  commencing in-memory singleton removal
Sat Dec 20 12:10:45 2014  begin with 745198 relations and 879676 unique ideals
Sat Dec 20 12:10:46 2014  reduce to 699249 relations and 554858 ideals in 7 passes
Sat Dec 20 12:10:46 2014  max relations containing the same ideal: 56
Sat Dec 20 12:10:46 2014  removing 216540 relations and 123687 ideals in 92853 cliques
Sat Dec 20 12:10:46 2014  commencing in-memory singleton removal
Sat Dec 20 12:10:46 2014  begin with 482709 relations and 554858 unique ideals
Sat Dec 20 12:10:46 2014  reduce to 451250 relations and 396654 ideals in 8 passes
Sat Dec 20 12:10:46 2014  max relations containing the same ideal: 45
Sat Dec 20 12:10:46 2014  removing 76937 relations and 49285 ideals in 27652 cliques
Sat Dec 20 12:10:46 2014  commencing in-memory singleton removal
Sat Dec 20 12:10:46 2014  begin with 374313 relations and 396654 unique ideals
Sat Dec 20 12:10:46 2014  reduce to 361395 relations and 333678 ideals in 6 passes
Sat Dec 20 12:10:46 2014  max relations containing the same ideal: 36
Sat Dec 20 12:10:46 2014  relations with 0 large ideals: 547
Sat Dec 20 12:10:46 2014  relations with 1 large ideals: 567
Sat Dec 20 12:10:46 2014  relations with 2 large ideals: 6005
Sat Dec 20 12:10:46 2014  relations with 3 large ideals: 27691
Sat Dec 20 12:10:46 2014  relations with 4 large ideals: 70791
Sat Dec 20 12:10:46 2014  relations with 5 large ideals: 103039
Sat Dec 20 12:10:46 2014  relations with 6 large ideals: 92701
Sat Dec 20 12:10:46 2014  relations with 7+ large ideals: 60054
Sat Dec 20 12:10:46 2014  commencing 2-way merge
Sat Dec 20 12:10:46 2014  reduce to 277987 relation sets and 250270 unique ideals
Sat Dec 20 12:10:46 2014  commencing full merge
Sat Dec 20 12:10:50 2014  memory use: 29.9 MB
Sat Dec 20 12:10:50 2014  found 130392 cycles, need 126470
Sat Dec 20 12:10:50 2014  weight of 126470 cycles is about 9205504 (72.79/cycle)
Sat Dec 20 12:10:50 2014  distribution of cycle lengths:
Sat Dec 20 12:10:50 2014  1 relations: 6927
Sat Dec 20 12:10:50 2014  2 relations: 10755
Sat Dec 20 12:10:50 2014  3 relations: 13180
Sat Dec 20 12:10:50 2014  4 relations: 13123
Sat Dec 20 12:10:50 2014  5 relations: 12708
Sat Dec 20 12:10:50 2014  6 relations: 11863
Sat Dec 20 12:10:50 2014  7 relations: 10742
Sat Dec 20 12:10:50 2014  8 relations: 9458
Sat Dec 20 12:10:50 2014  9 relations: 7850
Sat Dec 20 12:10:50 2014  10+ relations: 29864
Sat Dec 20 12:10:50 2014  heaviest cycle: 21 relations
Sat Dec 20 12:10:50 2014  commencing cycle optimization
Sat Dec 20 12:10:50 2014  start with 852931 relations
Sat Dec 20 12:10:52 2014  pruned 44482 relations
Sat Dec 20 12:10:52 2014  memory use: 23.5 MB
Sat Dec 20 12:10:52 2014  distribution of cycle lengths:
Sat Dec 20 12:10:52 2014  1 relations: 6927
Sat Dec 20 12:10:52 2014  2 relations: 11130
Sat Dec 20 12:10:52 2014  3 relations: 14014
Sat Dec 20 12:10:52 2014  4 relations: 14009
Sat Dec 20 12:10:52 2014  5 relations: 13516
Sat Dec 20 12:10:52 2014  6 relations: 12564
Sat Dec 20 12:10:52 2014  7 relations: 11282
Sat Dec 20 12:10:52 2014  8 relations: 9751
Sat Dec 20 12:10:52 2014  9 relations: 7905
Sat Dec 20 12:10:52 2014  10+ relations: 25372
Sat Dec 20 12:10:52 2014  heaviest cycle: 20 relations
Sat Dec 20 12:10:52 2014  RelProcTime: 76
Sat Dec 20 12:10:52 2014  
Sat Dec 20 12:10:52 2014  commencing linear algebra
Sat Dec 20 12:10:52 2014  read 126470 cycles
Sat Dec 20 12:10:52 2014  cycles contain 346364 unique relations
Sat Dec 20 12:10:57 2014  read 346364 relations
Sat Dec 20 12:10:57 2014  using 20 quadratic characters above 66985230
Sat Dec 20 12:10:59 2014  building initial matrix
Sat Dec 20 12:11:02 2014  memory use: 42.2 MB
Sat Dec 20 12:11:02 2014  read 126470 cycles
Sat Dec 20 12:11:02 2014  matrix is 126293 x 126470 (37.8 MB) with weight 11286038 (89.24/col)
Sat Dec 20 12:11:02 2014  sparse part has weight 8521081 (67.38/col)
Sat Dec 20 12:11:03 2014  filtering completed in 2 passes
Sat Dec 20 12:11:03 2014  matrix is 126236 x 126413 (37.8 MB) with weight 11283256 (89.26/col)
Sat Dec 20 12:11:03 2014  sparse part has weight 8519591 (67.39/col)
Sat Dec 20 12:11:03 2014  matrix starts at (0, 0)
Sat Dec 20 12:11:03 2014  matrix is 126236 x 126413 (37.8 MB) with weight 11283256 (89.26/col)
Sat Dec 20 12:11:03 2014  sparse part has weight 8519591 (67.39/col)
Sat Dec 20 12:11:03 2014  saving the first 48 matrix rows for later
Sat Dec 20 12:11:03 2014  matrix includes 64 packed rows
Sat Dec 20 12:11:03 2014  matrix is 126188 x 126413 (35.6 MB) with weight 8962538 (70.90/col)
Sat Dec 20 12:11:03 2014  sparse part has weight 8055665 (63.72/col)
Sat Dec 20 12:11:03 2014  using block size 50475 for processor cache size 8192 kB
Sat Dec 20 12:11:03 2014  commencing Lanczos iteration
Sat Dec 20 12:11:03 2014  memory use: 26.6 MB
Sat Dec 20 12:11:10 2014  linear algebra at 9.6%, ETA 0h 1m
Sat Dec 20 12:12:45 2014  lanczos halted after 1997 iterations (dim = 126186)
Sat Dec 20 12:12:45 2014  recovered 38 nontrivial dependencies
Sat Dec 20 12:12:45 2014  BLanczosTime: 113
Sat Dec 20 12:12:45 2014  
Sat Dec 20 12:12:45 2014  commencing square root phase
Sat Dec 20 12:12:45 2014  reading relations for dependency 1
Sat Dec 20 12:12:45 2014  read 63266 cycles
Sat Dec 20 12:12:45 2014  cycles contain 173472 unique relations
Sat Dec 20 12:12:49 2014  read 173472 relations
Sat Dec 20 12:12:50 2014  multiplying 173472 relations
Sat Dec 20 12:12:53 2014  multiply complete, coefficients have about 4.50 million bits
Sat Dec 20 12:12:53 2014  initial square root is modulo 152441
Sat Dec 20 12:12:57 2014  sqrtTime: 12
--
n: 680496018420177959603228984365823777010361095596765927157148884266928175298180578958976143056943390324922510744526862560933
m: 100000000000000000000000000
deg: 5
c5: 100
c0: 29
skew: 0.78
# Murphy_E = 6.586e-09
type: snfs
lss: 1
rlim: 1110000
alim: 1110000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 19, 2014 14:27:58 UTC 2014 年 12 月 19 日 (金) 23 時 27 分 58 秒 (日本時間)

10134+293

c121

name 名前Cyp
date 日付December 20, 2014 14:51:09 UTC 2014 年 12 月 20 日 (土) 23 時 51 分 9 秒 (日本時間)
composite number 合成数
4519441640273942086316273188791580669731271213508592320726641746205891681094181074162397572311160365935715603157714986897<121>
prime factors 素因数
908889021950574062140177179600567277607<39>
4972490074282921718176904812354803201536332685535626740709237228197621661890862471<82>
factorization results 素因数分解の結果
12/20/14 15:02:32 v1.34.3, 
12/20/14 15:02:32 v1.34.3, ****************************
12/20/14 15:02:32 v1.34.3, Starting factorization of 4519441640273942086316273188791580669731271213508592320726641746205891681094181074162397572311160365935715603157714986897
12/20/14 15:02:32 v1.34.3, using pretesting plan: none
12/20/14 15:02:32 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/20/14 15:02:32 v1.34.3, ****************************
12/20/14 15:02:32 v1.34.3, nfs: commencing nfs on c121: 4519441640273942086316273188791580669731271213508592320726641746205891681094181074162397572311160365935715603157714986897
12/20/14 15:02:32 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/20/14 15:02:32 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 15:03:21 v1.34.3, nfs: commencing lattice sieving with 8 threads
[31 lines snipped]
12/20/14 15:45:17 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 15:46:07 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 15:46:59 v1.34.3, nfs: commencing msieve filtering
12/20/14 15:48:08 v1.34.3, nfs: commencing msieve linear algebra
12/20/14 15:50:38 v1.34.3, nfs: commencing msieve sqrt
12/20/14 15:51:08 v1.34.3, prp39 = 908889021950574062140177179600567277607
12/20/14 15:51:08 v1.34.3, prp82 = 4972490074282921718176904812354803201536332685535626740709237228197621661890862471
12/20/14 15:51:08 v1.34.3, NFS elapsed time = 2916.2105 seconds.
12/20/14 15:51:08 v1.34.3, 
12/20/14 15:51:08 v1.34.3, 
12/20/14 15:51:08 v1.34.3, Total factoring time = 2916.2116 seconds
--
Sat Dec 20 15:46:59 2014  
Sat Dec 20 15:46:59 2014  commencing relation filtering
Sat Dec 20 15:46:59 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 15:46:59 2014  commencing duplicate removal, pass 1
Sat Dec 20 15:47:17 2014  found 591809 hash collisions in 4486502 relations
Sat Dec 20 15:47:22 2014  added 175108 free relations
Sat Dec 20 15:47:22 2014  commencing duplicate removal, pass 2
Sat Dec 20 15:47:27 2014  found 419161 duplicates and 4242449 unique relations
Sat Dec 20 15:47:27 2014  memory use: 20.6 MB
Sat Dec 20 15:47:27 2014  reading ideals above 100000
Sat Dec 20 15:47:27 2014  commencing singleton removal, initial pass
Sat Dec 20 15:47:54 2014  memory use: 94.1 MB
Sat Dec 20 15:47:54 2014  reading all ideals from disk
Sat Dec 20 15:47:54 2014  memory use: 129.8 MB
Sat Dec 20 15:47:54 2014  keeping 4293344 ideals with weight <= 200, target excess is 22637
Sat Dec 20 15:47:54 2014  commencing in-memory singleton removal
Sat Dec 20 15:47:55 2014  begin with 4242449 relations and 4293344 unique ideals
Sat Dec 20 15:47:57 2014  reduce to 2022595 relations and 1476054 ideals in 9 passes
Sat Dec 20 15:47:57 2014  max relations containing the same ideal: 122
Sat Dec 20 15:47:57 2014  removing 698838 relations and 438697 ideals in 260141 cliques
Sat Dec 20 15:47:58 2014  commencing in-memory singleton removal
Sat Dec 20 15:47:58 2014  begin with 1323757 relations and 1476054 unique ideals
Sat Dec 20 15:47:58 2014  reduce to 1226582 relations and 927286 ideals in 7 passes
Sat Dec 20 15:47:58 2014  max relations containing the same ideal: 88
Sat Dec 20 15:47:59 2014  removing 567987 relations and 325058 ideals in 242929 cliques
Sat Dec 20 15:47:59 2014  commencing in-memory singleton removal
Sat Dec 20 15:47:59 2014  begin with 658595 relations and 927286 unique ideals
Sat Dec 20 15:47:59 2014  reduce to 587614 relations and 522323 ideals in 8 passes
Sat Dec 20 15:47:59 2014  max relations containing the same ideal: 53
Sat Dec 20 15:48:00 2014  removing 118030 relations and 78998 ideals in 39032 cliques
Sat Dec 20 15:48:00 2014  commencing in-memory singleton removal
Sat Dec 20 15:48:00 2014  begin with 469584 relations and 522323 unique ideals
Sat Dec 20 15:48:00 2014  reduce to 447352 relations and 419612 ideals in 8 passes
Sat Dec 20 15:48:00 2014  max relations containing the same ideal: 44
Sat Dec 20 15:48:00 2014  relations with 0 large ideals: 504
Sat Dec 20 15:48:00 2014  relations with 1 large ideals: 416
Sat Dec 20 15:48:00 2014  relations with 2 large ideals: 4719
Sat Dec 20 15:48:00 2014  relations with 3 large ideals: 25282
Sat Dec 20 15:48:00 2014  relations with 4 large ideals: 73747
Sat Dec 20 15:48:00 2014  relations with 5 large ideals: 122280
Sat Dec 20 15:48:00 2014  relations with 6 large ideals: 124658
Sat Dec 20 15:48:00 2014  relations with 7+ large ideals: 95746
Sat Dec 20 15:48:00 2014  commencing 2-way merge
Sat Dec 20 15:48:00 2014  reduce to 326990 relation sets and 299250 unique ideals
Sat Dec 20 15:48:00 2014  commencing full merge
Sat Dec 20 15:48:05 2014  memory use: 36.7 MB
Sat Dec 20 15:48:05 2014  found 155920 cycles, need 151450
Sat Dec 20 15:48:05 2014  weight of 151450 cycles is about 10606148 (70.03/cycle)
Sat Dec 20 15:48:05 2014  distribution of cycle lengths:
Sat Dec 20 15:48:05 2014  1 relations: 9800
Sat Dec 20 15:48:05 2014  2 relations: 14022
Sat Dec 20 15:48:05 2014  3 relations: 15853
Sat Dec 20 15:48:05 2014  4 relations: 15890
Sat Dec 20 15:48:05 2014  5 relations: 15311
Sat Dec 20 15:48:05 2014  6 relations: 14035
Sat Dec 20 15:48:05 2014  7 relations: 12461
Sat Dec 20 15:48:05 2014  8 relations: 11002
Sat Dec 20 15:48:05 2014  9 relations: 9330
Sat Dec 20 15:48:05 2014  10+ relations: 33746
Sat Dec 20 15:48:05 2014  heaviest cycle: 21 relations
Sat Dec 20 15:48:05 2014  commencing cycle optimization
Sat Dec 20 15:48:06 2014  start with 993091 relations
Sat Dec 20 15:48:07 2014  pruned 44675 relations
Sat Dec 20 15:48:07 2014  memory use: 28.3 MB
Sat Dec 20 15:48:07 2014  distribution of cycle lengths:
Sat Dec 20 15:48:07 2014  1 relations: 9800
Sat Dec 20 15:48:07 2014  2 relations: 14444
Sat Dec 20 15:48:07 2014  3 relations: 16796
Sat Dec 20 15:48:07 2014  4 relations: 16638
Sat Dec 20 15:48:07 2014  5 relations: 16224
Sat Dec 20 15:48:07 2014  6 relations: 14725
Sat Dec 20 15:48:07 2014  7 relations: 12939
Sat Dec 20 15:48:07 2014  8 relations: 11251
Sat Dec 20 15:48:07 2014  9 relations: 9316
Sat Dec 20 15:48:07 2014  10+ relations: 29317
Sat Dec 20 15:48:07 2014  heaviest cycle: 20 relations
Sat Dec 20 15:48:08 2014  RelProcTime: 69
Sat Dec 20 15:48:08 2014  
Sat Dec 20 15:48:08 2014  commencing linear algebra
Sat Dec 20 15:48:08 2014  read 151450 cycles
Sat Dec 20 15:48:08 2014  cycles contain 427493 unique relations
Sat Dec 20 15:48:13 2014  read 427493 relations
Sat Dec 20 15:48:13 2014  using 20 quadratic characters above 67068608
Sat Dec 20 15:48:14 2014  building initial matrix
Sat Dec 20 15:48:19 2014  memory use: 52.3 MB
Sat Dec 20 15:48:19 2014  read 151450 cycles
Sat Dec 20 15:48:19 2014  matrix is 151280 x 151450 (44.2 MB) with weight 13386988 (88.39/col)
Sat Dec 20 15:48:19 2014  sparse part has weight 9917546 (65.48/col)
Sat Dec 20 15:48:20 2014  filtering completed in 2 passes
Sat Dec 20 15:48:20 2014  matrix is 151201 x 151377 (44.2 MB) with weight 13383523 (88.41/col)
Sat Dec 20 15:48:20 2014  sparse part has weight 9915794 (65.50/col)
Sat Dec 20 15:48:20 2014  matrix starts at (0, 0)
Sat Dec 20 15:48:20 2014  matrix is 151201 x 151377 (44.2 MB) with weight 13383523 (88.41/col)
Sat Dec 20 15:48:20 2014  sparse part has weight 9915794 (65.50/col)
Sat Dec 20 15:48:20 2014  saving the first 48 matrix rows for later
Sat Dec 20 15:48:20 2014  matrix includes 64 packed rows
Sat Dec 20 15:48:20 2014  matrix is 151153 x 151377 (41.6 MB) with weight 10471220 (69.17/col)
Sat Dec 20 15:48:20 2014  sparse part has weight 9385622 (62.00/col)
Sat Dec 20 15:48:20 2014  using block size 60461 for processor cache size 8192 kB
Sat Dec 20 15:48:21 2014  commencing Lanczos iteration
Sat Dec 20 15:48:21 2014  memory use: 31.3 MB
Sat Dec 20 15:48:32 2014  linear algebra at 8.0%, ETA 0h 2m
Sat Dec 20 15:50:38 2014  lanczos halted after 2393 iterations (dim = 151153)
Sat Dec 20 15:50:38 2014  recovered 38 nontrivial dependencies
Sat Dec 20 15:50:38 2014  BLanczosTime: 150
Sat Dec 20 15:50:38 2014  
Sat Dec 20 15:50:38 2014  commencing square root phase
Sat Dec 20 15:50:38 2014  reading relations for dependency 1
Sat Dec 20 15:50:38 2014  read 75886 cycles
Sat Dec 20 15:50:38 2014  cycles contain 213616 unique relations
Sat Dec 20 15:50:43 2014  read 213616 relations
Sat Dec 20 15:50:43 2014  multiplying 213616 relations
Sat Dec 20 15:50:47 2014  multiply complete, coefficients have about 4.36 million bits
Sat Dec 20 15:50:47 2014  initial square root is modulo 104851
Sat Dec 20 15:50:52 2014  GCD is N, no factor found
Sat Dec 20 15:50:52 2014  reading relations for dependency 2
Sat Dec 20 15:50:52 2014  read 75721 cycles
Sat Dec 20 15:50:52 2014  cycles contain 213680 unique relations
Sat Dec 20 15:50:57 2014  read 213680 relations
Sat Dec 20 15:50:58 2014  multiplying 213680 relations
Sat Dec 20 15:51:02 2014  multiply complete, coefficients have about 4.36 million bits
Sat Dec 20 15:51:02 2014  initial square root is modulo 104971
Sat Dec 20 15:51:08 2014  sqrtTime: 30
--
n: 4519441640273942086316273188791580669731271213508592320726641746205891681094181074162397572311160365935715603157714986897
m: 1000000000000000000000000000
deg: 5
c5: 1
c0: 290
skew: 3.11
# Murphy_E = 5.503e-09
type: snfs
lss: 1
rlim: 1240000
alim: 1240000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 19, 2014 15:38:18 UTC 2014 年 12 月 20 日 (土) 0 時 38 分 18 秒 (日本時間)

10137+293

c134

name 名前Serge Batalov
date 日付December 19, 2014 19:14:46 UTC 2014 年 12 月 20 日 (土) 4 時 14 分 46 秒 (日本時間)
composite number 合成数
13791201213625706799062198317473451937663770514411805268238863605019997241759757274858640187560336505309612467245897117638946352227279<134>
prime factors 素因数
1912675416536233281153636639487634324536717<43>
7210424254106289690907502897554167723848463268793456174824247117872642284610521632739043787<91>
factorization results 素因数分解の結果
Divisors found:
 r1=1912675416536233281153636639487634324536717 (pp43)
 r2=7210424254106289690907502897554167723848463268793456174824247117872642284610521632739043787 (pp91)
Version: Msieve v. 1.51 (SVN 719M)
Total time: 2.31 hours.
Scaled time: 5.53 units (timescale=2.400).
Factorization parameters were as follows:
n: 13791201213625706799062198317473451937663770514411805268238863605019997241759757274858640187560336505309612467245897117638946352227279
m: 1000000000000000000000000000
deg: 5
c5: 100
c0: 29
skew: 0.78
# Murphy_E = 4.332e-09
type: snfs
lss: 1
rlim: 1340000
alim: 1340000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1340000/1340000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [670000, 1420001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 162189 x 162415
Total sieving time: 2.25 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,137.000,5,0,0,0,0,0,0,0,0,1340000,1340000,26,26,48,48,2.3,2.3,75000
total time: 2.31 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 19, 2014 15:38:30 UTC 2014 年 12 月 20 日 (土) 0 時 38 分 30 秒 (日本時間)
403e62200Serge BatalovDecember 19, 2014 19:06:30 UTC 2014 年 12 月 20 日 (土) 4 時 6 分 30 秒 (日本時間)

10138+293

c104

name 名前KTakahashi
date 日付December 19, 2014 15:41:49 UTC 2014 年 12 月 20 日 (土) 0 時 41 分 49 秒 (日本時間)
composite number 合成数
50680680081146185696967386283099782983303600285511091457310188142880094361678057593147943762157135025281<104>
prime factors 素因数
24659645853955635787625423<26>
2055207134007422690002036122328155717366334129022105183815057456460902410204847<79>
factorization results 素因数分解の結果
Input number is 50680680081146185696967386283099782983303600285511091457310188142880094361678057593147943762157135025281 (104 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1469899442
Step 1 took 2995ms
Step 2 took 1935ms
********** Factor found in step 2: 24659645853955635787625423
Found probable prime factor of 26 digits: 24659645853955635787625423
Probable prime cofactor 2055207134007422690002036122328155717366334129022105183815057456460902410204847 has 79 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

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

10139+293

c138

name 名前Serge Batalov
date 日付December 20, 2014 01:07:22 UTC 2014 年 12 月 20 日 (土) 10 時 7 分 22 秒 (日本時間)
composite number 合成数
256410256410256410256410256410256410256410256410256410256410256410256410256410256410256410256410256410256410256410256410256410256410256411<138>
prime factors 素因数
6199267088385482920922675042490829146946331<43>
41361382362545548669848919477166392971857729649910935151469558829461000267127163986563503655681<95>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=457340209
Step 1 took 9183ms
Step 2 took 7121ms
********** Factor found in step 2: 6199267088385482920922675042490829146946331
Found probable prime factor of 43 digits: 6199267088385482920922675042490829146946331
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 19, 2014 15:38:43 UTC 2014 年 12 月 20 日 (土) 0 時 38 分 43 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:25 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 25 秒 (日本時間)

10140+293

c114

name 名前KTakahashi
date 日付December 19, 2014 15:43:01 UTC 2014 年 12 月 20 日 (土) 0 時 43 分 1 秒 (日本時間)
composite number 合成数
174936120549323243988986316375736844155682028990920289737670737422614548233825499987772711752020860363773997572963<114>
prime factors 素因数
40027157598038500909349839322857<32>
4370435750299088180544274533661331595386804049572500645811714028484384541249329259<82>
factorization results 素因数分解の結果
Input number is 174936120549323243988986316375736844155682028990920289737670737422614548233825499987772711752020860363773997572963 (114 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3899131143
Step 1 took 3245ms
Step 2 took 2168ms
********** Factor found in step 2: 40027157598038500909349839322857
Found probable prime factor of 32 digits: 40027157598038500909349839322857
Probable prime cofactor 4370435750299088180544274533661331595386804049572500645811714028484384541249329259 has 82 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

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

10141+293

c121

name 名前Jo Yeong Uk
date 日付December 21, 2014 07:43:26 UTC 2014 年 12 月 21 日 (日) 16 時 43 分 26 秒 (日本時間)
composite number 合成数
4585708758200185148145497582520708356818042482073442375995850240438885164285451110754721931734843566848889522886891228773<121>
prime factors 素因数
697042449676123378972868235014394129918018533<45>
6578808450376167763438326692202411875489617914014347521735054612360633137281<76>
factorization results 素因数分解の結果
Number: 33343_141
N=4585708758200185148145497582520708356818042482073442375995850240438885164285451110754721931734843566848889522886891228773
  ( 121 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=697042449676123378972868235014394129918018533
 r2=6578808450376167763438326692202411875489617914014347521735054612360633137281
Version: 
Total time: 1.76 hours.
Scaled time: 9.28 units (timescale=5.257).
Factorization parameters were as follows:
n: 4585708758200185148145497582520708356818042482073442375995850240438885164285451110754721931734843566848889522886891228773
m: 10000000000000000000000000000
deg: 5
c5: 10
c0: 29
skew: 1.24
# Murphy_E = 3.23e-09
type: snfs
lss: 1
rlim: 1500000
alim: 1500000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3

Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [750000, 1450001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 3648658
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 247684 x 247932
Total sieving time: 1.48 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,141,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,48,48,2.3,2.3,25000
total time: 1.76 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.88 BogoMIPS (lpj=3399941)
Total of 12 processors activated (81598.58 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 19, 2014 15:39:05 UTC 2014 年 12 月 20 日 (土) 0 時 39 分 5 秒 (日本時間)

10144+293

c108

name 名前Cyp
date 日付December 22, 2014 04:56:08 UTC 2014 年 12 月 22 日 (月) 13 時 56 分 8 秒 (日本時間)
composite number 合成数
850410226216478844810756625114612396457937847375293218321223240523135844418482865012261917166208307293393973<108>
prime factors 素因数
1112584302118602267461027054982527325577884430849<49>
764355765758255789092481575311609097308657433328869010471477<60>
factorization results 素因数分解の結果
12/22/14 03:57:16 v1.34.3, 
12/22/14 03:57:16 v1.34.3, ****************************
12/22/14 03:57:16 v1.34.3, Starting factorization of 850410226216478844810756625114612396457937847375293218321223240523135844418482865012261917166208307293393973
12/22/14 03:57:16 v1.34.3, using pretesting plan: none
12/22/14 03:57:16 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/22/14 03:57:16 v1.34.3, ****************************
12/22/14 03:57:16 v1.34.3, nfs: commencing nfs on c108: 850410226216478844810756625114612396457937847375293218321223240523135844418482865012261917166208307293393973
12/22/14 03:57:16 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/22/14 03:57:16 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/22/14 03:57:43 v1.34.3, nfs: commencing lattice sieving with 8 threads
[243 lines snipped]
12/22/14 05:49:48 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/22/14 05:50:16 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/22/14 05:50:46 v1.34.3, nfs: commencing msieve filtering
12/22/14 05:51:52 v1.34.3, nfs: commencing msieve linear algebra
12/22/14 05:55:20 v1.34.3, nfs: commencing msieve sqrt
12/22/14 05:56:07 v1.34.3, prp49 = 1112584302118602267461027054982527325577884430849
12/22/14 05:56:07 v1.34.3, prp60 = 764355765758255789092481575311609097308657433328869010471477
12/22/14 05:56:07 v1.34.3, NFS elapsed time = 7131.0057 seconds.
12/22/14 05:56:07 v1.34.3, 
12/22/14 05:56:07 v1.34.3, 
12/22/14 05:56:07 v1.34.3, Total factoring time = 7131.0066 seconds
--
Mon Dec 22 05:50:46 2014  
Mon Dec 22 05:50:46 2014  commencing relation filtering
Mon Dec 22 05:50:46 2014  estimated available RAM is 15987.3 MB
Mon Dec 22 05:50:46 2014  commencing duplicate removal, pass 1
Mon Dec 22 05:51:09 2014  found 800884 hash collisions in 4472809 relations
Mon Dec 22 05:51:14 2014  added 179699 free relations
Mon Dec 22 05:51:14 2014  commencing duplicate removal, pass 2
Mon Dec 22 05:51:18 2014  found 707919 duplicates and 3944589 unique relations
Mon Dec 22 05:51:18 2014  memory use: 20.6 MB
Mon Dec 22 05:51:18 2014  reading ideals above 100000
Mon Dec 22 05:51:18 2014  commencing singleton removal, initial pass
Mon Dec 22 05:51:38 2014  memory use: 94.1 MB
Mon Dec 22 05:51:38 2014  reading all ideals from disk
Mon Dec 22 05:51:38 2014  memory use: 124.5 MB
Mon Dec 22 05:51:38 2014  keeping 4577258 ideals with weight <= 200, target excess is 20030
Mon Dec 22 05:51:38 2014  commencing in-memory singleton removal
Mon Dec 22 05:51:38 2014  begin with 3944589 relations and 4577258 unique ideals
Mon Dec 22 05:51:39 2014  reduce to 1398230 relations and 1332138 ideals in 14 passes
Mon Dec 22 05:51:39 2014  max relations containing the same ideal: 97
Mon Dec 22 05:51:40 2014  removing 162738 relations and 141309 ideals in 21429 cliques
Mon Dec 22 05:51:40 2014  commencing in-memory singleton removal
Mon Dec 22 05:51:40 2014  begin with 1235492 relations and 1332138 unique ideals
Mon Dec 22 05:51:40 2014  reduce to 1221870 relations and 1176929 ideals in 8 passes
Mon Dec 22 05:51:40 2014  max relations containing the same ideal: 90
Mon Dec 22 05:51:40 2014  removing 121203 relations and 99774 ideals in 21429 cliques
Mon Dec 22 05:51:40 2014  commencing in-memory singleton removal
Mon Dec 22 05:51:40 2014  begin with 1100667 relations and 1176929 unique ideals
Mon Dec 22 05:51:41 2014  reduce to 1092280 relations and 1068606 ideals in 7 passes
Mon Dec 22 05:51:41 2014  max relations containing the same ideal: 84
Mon Dec 22 05:51:41 2014  relations with 0 large ideals: 479
Mon Dec 22 05:51:41 2014  relations with 1 large ideals: 143
Mon Dec 22 05:51:41 2014  relations with 2 large ideals: 2617
Mon Dec 22 05:51:41 2014  relations with 3 large ideals: 21674
Mon Dec 22 05:51:41 2014  relations with 4 large ideals: 93977
Mon Dec 22 05:51:41 2014  relations with 5 large ideals: 228529
Mon Dec 22 05:51:41 2014  relations with 6 large ideals: 334931
Mon Dec 22 05:51:41 2014  relations with 7+ large ideals: 409930
Mon Dec 22 05:51:41 2014  commencing 2-way merge
Mon Dec 22 05:51:41 2014  reduce to 671598 relation sets and 647924 unique ideals
Mon Dec 22 05:51:41 2014  commencing full merge
Mon Dec 22 05:51:48 2014  memory use: 82.6 MB
Mon Dec 22 05:51:48 2014  found 336895 cycles, need 334124
Mon Dec 22 05:51:49 2014  weight of 334124 cycles is about 23394651 (70.02/cycle)
Mon Dec 22 05:51:49 2014  distribution of cycle lengths:
Mon Dec 22 05:51:49 2014  1 relations: 26714
Mon Dec 22 05:51:49 2014  2 relations: 34658
Mon Dec 22 05:51:49 2014  3 relations: 36841
Mon Dec 22 05:51:49 2014  4 relations: 33921
Mon Dec 22 05:51:49 2014  5 relations: 31074
Mon Dec 22 05:51:49 2014  6 relations: 27362
Mon Dec 22 05:51:49 2014  7 relations: 24274
Mon Dec 22 05:51:49 2014  8 relations: 20802
Mon Dec 22 05:51:49 2014  9 relations: 18108
Mon Dec 22 05:51:49 2014  10+ relations: 80370
Mon Dec 22 05:51:49 2014  heaviest cycle: 25 relations
Mon Dec 22 05:51:49 2014  commencing cycle optimization
Mon Dec 22 05:51:49 2014  start with 2232337 relations
Mon Dec 22 05:51:52 2014  pruned 61423 relations
Mon Dec 22 05:51:52 2014  memory use: 68.0 MB
Mon Dec 22 05:51:52 2014  distribution of cycle lengths:
Mon Dec 22 05:51:52 2014  1 relations: 26714
Mon Dec 22 05:51:52 2014  2 relations: 35381
Mon Dec 22 05:51:52 2014  3 relations: 38183
Mon Dec 22 05:51:52 2014  4 relations: 34715
Mon Dec 22 05:51:52 2014  5 relations: 32074
Mon Dec 22 05:51:52 2014  6 relations: 27905
Mon Dec 22 05:51:52 2014  7 relations: 24545
Mon Dec 22 05:51:52 2014  8 relations: 20981
Mon Dec 22 05:51:52 2014  9 relations: 18155
Mon Dec 22 05:51:52 2014  10+ relations: 75471
Mon Dec 22 05:51:52 2014  heaviest cycle: 25 relations
Mon Dec 22 05:51:52 2014  RelProcTime: 66
Mon Dec 22 05:51:52 2014  
Mon Dec 22 05:51:52 2014  commencing linear algebra
Mon Dec 22 05:51:52 2014  read 334124 cycles
Mon Dec 22 05:51:52 2014  cycles contain 1071932 unique relations
Mon Dec 22 05:51:57 2014  read 1071932 relations
Mon Dec 22 05:51:58 2014  using 20 quadratic characters above 67108304
Mon Dec 22 05:52:01 2014  building initial matrix
Mon Dec 22 05:52:08 2014  memory use: 129.3 MB
Mon Dec 22 05:52:08 2014  read 334124 cycles
Mon Dec 22 05:52:08 2014  matrix is 333959 x 334124 (99.3 MB) with weight 29760321 (89.07/col)
Mon Dec 22 05:52:08 2014  sparse part has weight 22364085 (66.93/col)
Mon Dec 22 05:52:10 2014  filtering completed in 2 passes
Mon Dec 22 05:52:10 2014  matrix is 333831 x 334005 (99.3 MB) with weight 29756099 (89.09/col)
Mon Dec 22 05:52:10 2014  sparse part has weight 22362684 (66.95/col)
Mon Dec 22 05:52:11 2014  matrix starts at (0, 0)
Mon Dec 22 05:52:11 2014  matrix is 333831 x 334005 (99.3 MB) with weight 29756099 (89.09/col)
Mon Dec 22 05:52:11 2014  sparse part has weight 22362684 (66.95/col)
Mon Dec 22 05:52:11 2014  saving the first 48 matrix rows for later
Mon Dec 22 05:52:11 2014  matrix includes 64 packed rows
Mon Dec 22 05:52:11 2014  matrix is 333783 x 334005 (93.7 MB) with weight 23554421 (70.52/col)
Mon Dec 22 05:52:11 2014  sparse part has weight 21225125 (63.55/col)
Mon Dec 22 05:52:11 2014  using block size 65536 for processor cache size 8192 kB
Mon Dec 22 05:52:12 2014  commencing Lanczos iteration (8 threads)
Mon Dec 22 05:52:12 2014  memory use: 89.7 MB
Mon Dec 22 05:52:18 2014  linear algebra at 3.6%, ETA 0h 2m
Mon Dec 22 05:55:20 2014  lanczos halted after 5280 iterations (dim = 333781)
Mon Dec 22 05:55:20 2014  recovered 37 nontrivial dependencies
Mon Dec 22 05:55:20 2014  BLanczosTime: 208
Mon Dec 22 05:55:20 2014  
Mon Dec 22 05:55:20 2014  commencing square root phase
Mon Dec 22 05:55:20 2014  reading relations for dependency 1
Mon Dec 22 05:55:21 2014  read 167351 cycles
Mon Dec 22 05:55:21 2014  cycles contain 536944 unique relations
Mon Dec 22 05:55:24 2014  read 536944 relations
Mon Dec 22 05:55:25 2014  multiplying 536944 relations
Mon Dec 22 05:55:33 2014  multiply complete, coefficients have about 12.70 million bits
Mon Dec 22 05:55:33 2014  initial square root is modulo 19852331
Mon Dec 22 05:55:42 2014  GCD is 1, no factor found
Mon Dec 22 05:55:42 2014  reading relations for dependency 2
Mon Dec 22 05:55:42 2014  read 167036 cycles
Mon Dec 22 05:55:42 2014  cycles contain 536796 unique relations
Mon Dec 22 05:55:46 2014  read 536796 relations
Mon Dec 22 05:55:47 2014  multiplying 536796 relations
Mon Dec 22 05:55:54 2014  multiply complete, coefficients have about 12.70 million bits
Mon Dec 22 05:55:54 2014  initial square root is modulo 19736071
Mon Dec 22 05:56:07 2014  sqrtTime: 47
--
n: 850410226216478844810756625114612396457937847375293218321223240523135844418482865012261917166208307293393973
m: 50000000000000000000000000000
deg: 5
c5: 16
c0: 145
skew: 1.55
# Murphy_E = 2.35e-09
type: snfs
lss: 1
rlim: 1810000
alim: 1810000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 19, 2014 15:39:20 UTC 2014 年 12 月 20 日 (土) 0 時 39 分 20 秒 (日本時間)

10145+293

c101

name 名前KTakahashi
date 日付December 19, 2014 15:44:37 UTC 2014 年 12 月 20 日 (土) 0 時 44 分 37 秒 (日本時間)
composite number 合成数
61889111579194148440217978638702832835966247061463825007917109694581482642287833247596330833896568301<101>
prime factors 素因数
14771707896990800653321288517281<32>
4189705889851897807073226722365958083897282183242710320298267902953421<70>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM]
Input number is 61889111579194148440217978638702832835966247061463825007917109694581482642287833247596330833896568301 (101 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=131791064
Step 1 took 2574ms
Step 2 took 1638ms
********** Factor found in step 2: 14771707896990800653321288517281
Found probable prime factor of 32 digits: 14771707896990800653321288517281
Probable prime cofactor 4189705889851897807073226722365958083897282183242710320298267902953421 has 70 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 19, 2014 13:34:31 UTC 2014 年 12 月 19 日 (金) 22 時 34 分 31 秒 (日本時間)

10149+293

c137

name 名前Cyp
date 日付December 23, 2014 01:42:38 UTC 2014 年 12 月 23 日 (火) 10 時 42 分 38 秒 (日本時間)
composite number 合成数
14606314192554343145170956552971825510530617792966923867543161484116654932260847183363587297716947759410689820861419587121506771800686267<137>
prime factors 素因数
32813348758605407572378313970205225881975337507185074923281712631<65>
445133299255955693368114807771738586782544849897105092311706526893067357<72>
factorization results 素因数分解の結果
12/23/14 00:51:07 v1.34.3, 
12/23/14 00:51:07 v1.34.3, ****************************
12/23/14 00:51:07 v1.34.3, Starting factorization of 14606314192554343145170956552971825510530617792966923867543161484116654932260847183363587297716947759410689820861419587121506771800686267
12/23/14 00:51:07 v1.34.3, using pretesting plan: none
12/23/14 00:51:07 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/23/14 00:51:07 v1.34.3, ****************************
12/23/14 00:51:07 v1.34.3, nfs: commencing nfs on c137: 14606314192554343145170956552971825510530617792966923867543161484116654932260847183363587297716947759410689820861419587121506771800686267
12/23/14 00:51:07 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/23/14 00:51:07 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 00:52:59 v1.34.3, nfs: commencing lattice sieving with 8 threads
[53 lines snipped]
12/23/14 02:30:22 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 02:31:50 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 02:33:21 v1.34.3, nfs: commencing msieve filtering
12/23/14 02:34:51 v1.34.3, nfs: commencing msieve linear algebra
12/23/14 02:41:53 v1.34.3, nfs: commencing msieve sqrt
12/23/14 02:42:37 v1.34.3, prp65 = 32813348758605407572378313970205225881975337507185074923281712631
12/23/14 02:42:37 v1.34.3, prp72 = 445133299255955693368114807771738586782544849897105092311706526893067357
12/23/14 02:42:37 v1.34.3, NFS elapsed time = 6690.4843 seconds.
12/23/14 02:42:37 v1.34.3, 
12/23/14 02:42:37 v1.34.3, 
12/23/14 02:42:37 v1.34.3, Total factoring time = 6690.4855 seconds
--
Tue Dec 23 02:33:21 2014  
Tue Dec 23 02:33:21 2014  commencing relation filtering
Tue Dec 23 02:33:21 2014  estimated available RAM is 15987.3 MB
Tue Dec 23 02:33:21 2014  commencing duplicate removal, pass 1
Tue Dec 23 02:33:40 2014  found 639334 hash collisions in 4499495 relations
Tue Dec 23 02:33:46 2014  added 185190 free relations
Tue Dec 23 02:33:46 2014  commencing duplicate removal, pass 2
Tue Dec 23 02:33:51 2014  found 480459 duplicates and 4204226 unique relations
Tue Dec 23 02:33:51 2014  memory use: 20.6 MB
Tue Dec 23 02:33:51 2014  reading ideals above 100000
Tue Dec 23 02:33:51 2014  commencing singleton removal, initial pass
Tue Dec 23 02:34:22 2014  memory use: 94.1 MB
Tue Dec 23 02:34:22 2014  reading all ideals from disk
Tue Dec 23 02:34:22 2014  memory use: 137.3 MB
Tue Dec 23 02:34:22 2014  keeping 4822412 ideals with weight <= 200, target excess is 21408
Tue Dec 23 02:34:23 2014  commencing in-memory singleton removal
Tue Dec 23 02:34:23 2014  begin with 4204226 relations and 4822412 unique ideals
Tue Dec 23 02:34:26 2014  reduce to 1539765 relations and 1473926 ideals in 15 passes
Tue Dec 23 02:34:26 2014  max relations containing the same ideal: 102
Tue Dec 23 02:34:27 2014  removing 172147 relations and 151644 ideals in 20503 cliques
Tue Dec 23 02:34:27 2014  commencing in-memory singleton removal
Tue Dec 23 02:34:27 2014  begin with 1367618 relations and 1473926 unique ideals
Tue Dec 23 02:34:28 2014  reduce to 1352219 relations and 1306610 ideals in 7 passes
Tue Dec 23 02:34:28 2014  max relations containing the same ideal: 95
Tue Dec 23 02:34:29 2014  removing 129100 relations and 108597 ideals in 20503 cliques
Tue Dec 23 02:34:29 2014  commencing in-memory singleton removal
Tue Dec 23 02:34:29 2014  begin with 1223119 relations and 1306610 unique ideals
Tue Dec 23 02:34:30 2014  reduce to 1213317 relations and 1188074 ideals in 8 passes
Tue Dec 23 02:34:30 2014  max relations containing the same ideal: 88
Tue Dec 23 02:34:31 2014  relations with 0 large ideals: 494
Tue Dec 23 02:34:31 2014  relations with 1 large ideals: 100
Tue Dec 23 02:34:31 2014  relations with 2 large ideals: 1988
Tue Dec 23 02:34:31 2014  relations with 3 large ideals: 17593
Tue Dec 23 02:34:31 2014  relations with 4 large ideals: 81057
Tue Dec 23 02:34:31 2014  relations with 5 large ideals: 217043
Tue Dec 23 02:34:31 2014  relations with 6 large ideals: 356119
Tue Dec 23 02:34:31 2014  relations with 7+ large ideals: 538923
Tue Dec 23 02:34:31 2014  commencing 2-way merge
Tue Dec 23 02:34:31 2014  reduce to 724177 relation sets and 698934 unique ideals
Tue Dec 23 02:34:31 2014  commencing full merge
Tue Dec 23 02:34:45 2014  memory use: 90.1 MB
Tue Dec 23 02:34:46 2014  found 359969 cycles, need 357134
Tue Dec 23 02:34:46 2014  weight of 357134 cycles is about 25046143 (70.13/cycle)
Tue Dec 23 02:34:46 2014  distribution of cycle lengths:
Tue Dec 23 02:34:46 2014  1 relations: 39895
Tue Dec 23 02:34:46 2014  2 relations: 39007
Tue Dec 23 02:34:46 2014  3 relations: 37757
Tue Dec 23 02:34:46 2014  4 relations: 34598
Tue Dec 23 02:34:46 2014  5 relations: 31514
Tue Dec 23 02:34:46 2014  6 relations: 27890
Tue Dec 23 02:34:46 2014  7 relations: 24215
Tue Dec 23 02:34:46 2014  8 relations: 20902
Tue Dec 23 02:34:46 2014  9 relations: 18183
Tue Dec 23 02:34:46 2014  10+ relations: 83173
Tue Dec 23 02:34:46 2014  heaviest cycle: 25 relations
Tue Dec 23 02:34:46 2014  commencing cycle optimization
Tue Dec 23 02:34:46 2014  start with 2313550 relations
Tue Dec 23 02:34:51 2014  pruned 60424 relations
Tue Dec 23 02:34:51 2014  memory use: 73.0 MB
Tue Dec 23 02:34:51 2014  distribution of cycle lengths:
Tue Dec 23 02:34:51 2014  1 relations: 39895
Tue Dec 23 02:34:51 2014  2 relations: 39737
Tue Dec 23 02:34:51 2014  3 relations: 39043
Tue Dec 23 02:34:51 2014  4 relations: 35458
Tue Dec 23 02:34:51 2014  5 relations: 32445
Tue Dec 23 02:34:51 2014  6 relations: 28150
Tue Dec 23 02:34:51 2014  7 relations: 24641
Tue Dec 23 02:34:51 2014  8 relations: 20978
Tue Dec 23 02:34:51 2014  9 relations: 18383
Tue Dec 23 02:34:51 2014  10+ relations: 78404
Tue Dec 23 02:34:51 2014  heaviest cycle: 25 relations
Tue Dec 23 02:34:51 2014  RelProcTime: 90
Tue Dec 23 02:34:51 2014  
Tue Dec 23 02:34:51 2014  commencing linear algebra
Tue Dec 23 02:34:51 2014  read 357134 cycles
Tue Dec 23 02:34:52 2014  cycles contain 1188917 unique relations
Tue Dec 23 02:34:59 2014  read 1188917 relations
Tue Dec 23 02:35:01 2014  using 20 quadratic characters above 67107882
Tue Dec 23 02:35:05 2014  building initial matrix
Tue Dec 23 02:35:18 2014  memory use: 143.8 MB
Tue Dec 23 02:35:18 2014  read 357134 cycles
Tue Dec 23 02:35:18 2014  matrix is 356961 x 357134 (106.3 MB) with weight 31943427 (89.44/col)
Tue Dec 23 02:35:18 2014  sparse part has weight 23945035 (67.05/col)
Tue Dec 23 02:35:21 2014  filtering completed in 2 passes
Tue Dec 23 02:35:21 2014  matrix is 356772 x 356948 (106.3 MB) with weight 31936614 (89.47/col)
Tue Dec 23 02:35:21 2014  sparse part has weight 23942651 (67.08/col)
Tue Dec 23 02:35:22 2014  matrix starts at (0, 0)
Tue Dec 23 02:35:22 2014  matrix is 356772 x 356948 (106.3 MB) with weight 31936614 (89.47/col)
Tue Dec 23 02:35:22 2014  sparse part has weight 23942651 (67.08/col)
Tue Dec 23 02:35:22 2014  saving the first 48 matrix rows for later
Tue Dec 23 02:35:22 2014  matrix includes 64 packed rows
Tue Dec 23 02:35:22 2014  matrix is 356724 x 356948 (100.3 MB) with weight 25313465 (70.92/col)
Tue Dec 23 02:35:22 2014  sparse part has weight 22730993 (63.68/col)
Tue Dec 23 02:35:22 2014  using block size 65536 for processor cache size 8192 kB
Tue Dec 23 02:35:23 2014  commencing Lanczos iteration (8 threads)
Tue Dec 23 02:35:23 2014  memory use: 96.5 MB
Tue Dec 23 02:35:37 2014  linear algebra at 3.4%, ETA 0h 6m
Tue Dec 23 02:41:53 2014  lanczos halted after 5642 iterations (dim = 356722)
Tue Dec 23 02:41:53 2014  recovered 37 nontrivial dependencies
Tue Dec 23 02:41:53 2014  BLanczosTime: 422
Tue Dec 23 02:41:53 2014  
Tue Dec 23 02:41:53 2014  commencing square root phase
Tue Dec 23 02:41:53 2014  reading relations for dependency 1
Tue Dec 23 02:41:53 2014  read 178673 cycles
Tue Dec 23 02:41:54 2014  cycles contain 595072 unique relations
Tue Dec 23 02:41:59 2014  read 595072 relations
Tue Dec 23 02:42:02 2014  multiplying 595072 relations
Tue Dec 23 02:42:17 2014  multiply complete, coefficients have about 14.58 million bits
Tue Dec 23 02:42:17 2014  initial square root is modulo 239109671
Tue Dec 23 02:42:37 2014  sqrtTime: 44
--
n: 14606314192554343145170956552971825510530617792966923867543161484116654932260847183363587297716947759410689820861419587121506771800686267
m: 500000000000000000000000000000
deg: 5
c5: 16
c0: 145
skew: 1.55
# Murphy_E = 1.524e-09
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 19, 2014 15:39:38 UTC 2014 年 12 月 20 日 (土) 0 時 39 分 38 秒 (日本時間)

10154+293

c149

name 名前Cyp
date 日付December 25, 2014 03:13:39 UTC 2014 年 12 月 25 日 (木) 12 時 13 分 39 秒 (日本時間)
composite number 合成数
98065174114716640679395526266756886626852205976091710550832083002363370696164671040373432183028840967707138164023810224275053200356957233777568572073<149>
prime factors 素因数
2763406138420628912299973408658283379873<40>
35487065310915132300740071851923416506252562654822251871905379737599697963816760754627762636658814846217691401<110>
factorization results 素因数分解の結果
12/25/14 00:30:46 v1.34.3, 
12/25/14 00:30:46 v1.34.3, ****************************
12/25/14 00:30:46 v1.34.3, Starting factorization of 98065174114716640679395526266756886626852205976091710550832083002363370696164671040373432183028840967707138164023810224275053200356957233777568572073
12/25/14 00:30:46 v1.34.3, using pretesting plan: none
12/25/14 00:30:46 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/25/14 00:30:46 v1.34.3, ****************************
12/25/14 00:30:46 v1.34.3, nfs: commencing nfs on c149: 98065174114716640679395526266756886626852205976091710550832083002363370696164671040373432183028840967707138164023810224275053200356957233777568572073
12/25/14 00:30:46 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/25/14 00:30:46 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/25/14 00:38:53 v1.34.3, nfs: commencing lattice sieving with 8 threads
[23 lines snipped]
12/25/14 03:45:26 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/25/14 03:53:35 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/25/14 04:01:40 v1.34.3, nfs: commencing msieve filtering
12/25/14 04:05:01 v1.34.3, nfs: commencing msieve linear algebra
12/25/14 04:11:44 v1.34.3, nfs: commencing msieve sqrt
12/25/14 04:13:38 v1.34.3, prp40 = 2763406138420628912299973408658283379873
12/25/14 04:13:38 v1.34.3, prp110 = 35487065310915132300740071851923416506252562654822251871905379737599697963816760754627762636658814846217691401
12/25/14 04:13:38 v1.34.3, NFS elapsed time = 13372.2706 seconds.
12/25/14 04:13:38 v1.34.3, 
12/25/14 04:13:38 v1.34.3, 
12/25/14 04:13:38 v1.34.3, Total factoring time = 13372.2717 seconds
--
Thu Dec 25 04:01:40 2014  
Thu Dec 25 04:01:40 2014  commencing relation filtering
Thu Dec 25 04:01:40 2014  estimated available RAM is 15987.3 MB
Thu Dec 25 04:01:40 2014  commencing duplicate removal, pass 1
Thu Dec 25 04:02:33 2014  found 1233946 hash collisions in 10192434 relations
Thu Dec 25 04:02:50 2014  added 360338 free relations
Thu Dec 25 04:02:50 2014  commencing duplicate removal, pass 2
Thu Dec 25 04:03:03 2014  found 724437 duplicates and 9828335 unique relations
Thu Dec 25 04:03:03 2014  memory use: 41.3 MB
Thu Dec 25 04:03:03 2014  reading ideals above 100000
Thu Dec 25 04:03:03 2014  commencing singleton removal, initial pass
Thu Dec 25 04:04:25 2014  memory use: 188.2 MB
Thu Dec 25 04:04:25 2014  reading all ideals from disk
Thu Dec 25 04:04:25 2014  memory use: 335.8 MB
Thu Dec 25 04:04:26 2014  keeping 9763213 ideals with weight <= 200, target excess is 52183
Thu Dec 25 04:04:27 2014  commencing in-memory singleton removal
Thu Dec 25 04:04:27 2014  begin with 9828335 relations and 9763213 unique ideals
Thu Dec 25 04:04:34 2014  reduce to 4951056 relations and 3804270 ideals in 12 passes
Thu Dec 25 04:04:34 2014  max relations containing the same ideal: 129
Thu Dec 25 04:04:36 2014  removing 1275104 relations and 875104 ideals in 400000 cliques
Thu Dec 25 04:04:36 2014  commencing in-memory singleton removal
Thu Dec 25 04:04:36 2014  begin with 3675952 relations and 3804270 unique ideals
Thu Dec 25 04:04:39 2014  reduce to 3468266 relations and 2701372 ideals in 7 passes
Thu Dec 25 04:04:39 2014  max relations containing the same ideal: 102
Thu Dec 25 04:04:41 2014  removing 1079799 relations and 679799 ideals in 400000 cliques
Thu Dec 25 04:04:41 2014  commencing in-memory singleton removal
Thu Dec 25 04:04:41 2014  begin with 2388467 relations and 2701372 unique ideals
Thu Dec 25 04:04:43 2014  reduce to 2214135 relations and 1828479 ideals in 8 passes
Thu Dec 25 04:04:43 2014  max relations containing the same ideal: 76
Thu Dec 25 04:04:44 2014  removing 856777 relations and 531654 ideals in 325123 cliques
Thu Dec 25 04:04:44 2014  commencing in-memory singleton removal
Thu Dec 25 04:04:44 2014  begin with 1357358 relations and 1828479 unique ideals
Thu Dec 25 04:04:45 2014  reduce to 1184053 relations and 1100939 ideals in 10 passes
Thu Dec 25 04:04:45 2014  max relations containing the same ideal: 46
Thu Dec 25 04:04:46 2014  removing 109848 relations and 87267 ideals in 22581 cliques
Thu Dec 25 04:04:46 2014  commencing in-memory singleton removal
Thu Dec 25 04:04:46 2014  begin with 1074205 relations and 1100939 unique ideals
Thu Dec 25 04:04:46 2014  reduce to 1064683 relations and 1003941 ideals in 6 passes
Thu Dec 25 04:04:46 2014  max relations containing the same ideal: 44
Thu Dec 25 04:04:47 2014  relations with 0 large ideals: 1182
Thu Dec 25 04:04:47 2014  relations with 1 large ideals: 883
Thu Dec 25 04:04:47 2014  relations with 2 large ideals: 12010
Thu Dec 25 04:04:47 2014  relations with 3 large ideals: 66935
Thu Dec 25 04:04:47 2014  relations with 4 large ideals: 189032
Thu Dec 25 04:04:47 2014  relations with 5 large ideals: 298256
Thu Dec 25 04:04:47 2014  relations with 6 large ideals: 286372
Thu Dec 25 04:04:47 2014  relations with 7+ large ideals: 210013
Thu Dec 25 04:04:47 2014  commencing 2-way merge
Thu Dec 25 04:04:47 2014  reduce to 673243 relation sets and 612501 unique ideals
Thu Dec 25 04:04:47 2014  commencing full merge
Thu Dec 25 04:04:56 2014  memory use: 76.8 MB
Thu Dec 25 04:04:56 2014  found 340783 cycles, need 332701
Thu Dec 25 04:04:56 2014  weight of 332701 cycles is about 23344291 (70.17/cycle)
Thu Dec 25 04:04:56 2014  distribution of cycle lengths:
Thu Dec 25 04:04:56 2014  1 relations: 28893
Thu Dec 25 04:04:56 2014  2 relations: 31646
Thu Dec 25 04:04:56 2014  3 relations: 35647
Thu Dec 25 04:04:56 2014  4 relations: 35734
Thu Dec 25 04:04:56 2014  5 relations: 34814
Thu Dec 25 04:04:56 2014  6 relations: 31829
Thu Dec 25 04:04:56 2014  7 relations: 27818
Thu Dec 25 04:04:56 2014  8 relations: 23728
Thu Dec 25 04:04:56 2014  9 relations: 19604
Thu Dec 25 04:04:56 2014  10+ relations: 62988
Thu Dec 25 04:04:56 2014  heaviest cycle: 20 relations
Thu Dec 25 04:04:57 2014  commencing cycle optimization
Thu Dec 25 04:04:57 2014  start with 2039336 relations
Thu Dec 25 04:05:00 2014  pruned 66824 relations
Thu Dec 25 04:05:00 2014  memory use: 64.0 MB
Thu Dec 25 04:05:00 2014  distribution of cycle lengths:
Thu Dec 25 04:05:00 2014  1 relations: 28893
Thu Dec 25 04:05:00 2014  2 relations: 32382
Thu Dec 25 04:05:00 2014  3 relations: 37020
Thu Dec 25 04:05:00 2014  4 relations: 36947
Thu Dec 25 04:05:00 2014  5 relations: 36396
Thu Dec 25 04:05:00 2014  6 relations: 32870
Thu Dec 25 04:05:00 2014  7 relations: 28569
Thu Dec 25 04:05:00 2014  8 relations: 24094
Thu Dec 25 04:05:00 2014  9 relations: 19428
Thu Dec 25 04:05:00 2014  10+ relations: 56102
Thu Dec 25 04:05:00 2014  heaviest cycle: 20 relations
Thu Dec 25 04:05:01 2014  RelProcTime: 201
Thu Dec 25 04:05:01 2014  
Thu Dec 25 04:05:01 2014  commencing linear algebra
Thu Dec 25 04:05:01 2014  read 332701 cycles
Thu Dec 25 04:05:01 2014  cycles contain 1027005 unique relations
Thu Dec 25 04:05:15 2014  read 1027005 relations
Thu Dec 25 04:05:16 2014  using 20 quadratic characters above 134213048
Thu Dec 25 04:05:20 2014  building initial matrix
Thu Dec 25 04:05:29 2014  memory use: 128.8 MB
Thu Dec 25 04:05:29 2014  read 332701 cycles
Thu Dec 25 04:05:29 2014  matrix is 332523 x 332701 (98.7 MB) with weight 29537303 (88.78/col)
Thu Dec 25 04:05:29 2014  sparse part has weight 22202806 (66.74/col)
Thu Dec 25 04:05:30 2014  filtering completed in 2 passes
Thu Dec 25 04:05:30 2014  matrix is 332343 x 332521 (98.6 MB) with weight 29529298 (88.80/col)
Thu Dec 25 04:05:30 2014  sparse part has weight 22198794 (66.76/col)
Thu Dec 25 04:05:31 2014  matrix starts at (0, 0)
Thu Dec 25 04:05:31 2014  matrix is 332343 x 332521 (98.6 MB) with weight 29529298 (88.80/col)
Thu Dec 25 04:05:31 2014  sparse part has weight 22198794 (66.76/col)
Thu Dec 25 04:05:31 2014  saving the first 48 matrix rows for later
Thu Dec 25 04:05:31 2014  matrix includes 64 packed rows
Thu Dec 25 04:05:31 2014  matrix is 332295 x 332521 (93.2 MB) with weight 23338966 (70.19/col)
Thu Dec 25 04:05:31 2014  sparse part has weight 21116717 (63.50/col)
Thu Dec 25 04:05:31 2014  using block size 65536 for processor cache size 8192 kB
Thu Dec 25 04:05:32 2014  commencing Lanczos iteration (8 threads)
Thu Dec 25 04:05:32 2014  memory use: 89.8 MB
Thu Dec 25 04:05:43 2014  linear algebra at 3.7%, ETA 0h 4m
Thu Dec 25 04:11:44 2014  lanczos halted after 5256 iterations (dim = 332293)
Thu Dec 25 04:11:44 2014  recovered 36 nontrivial dependencies
Thu Dec 25 04:11:44 2014  BLanczosTime: 403
Thu Dec 25 04:11:44 2014  
Thu Dec 25 04:11:44 2014  commencing square root phase
Thu Dec 25 04:11:44 2014  reading relations for dependency 1
Thu Dec 25 04:11:44 2014  read 166260 cycles
Thu Dec 25 04:11:45 2014  cycles contain 512306 unique relations
Thu Dec 25 04:11:57 2014  read 512306 relations
Thu Dec 25 04:11:59 2014  multiplying 512306 relations
Thu Dec 25 04:12:14 2014  multiply complete, coefficients have about 13.04 million bits
Thu Dec 25 04:12:14 2014  initial square root is modulo 31135121
Thu Dec 25 04:12:32 2014  Newton iteration failed to converge
Thu Dec 25 04:12:32 2014  algebraic square root failed
Thu Dec 25 04:12:32 2014  reading relations for dependency 2
Thu Dec 25 04:12:32 2014  read 166205 cycles
Thu Dec 25 04:12:32 2014  cycles contain 512806 unique relations
Thu Dec 25 04:12:44 2014  read 512806 relations
Thu Dec 25 04:12:46 2014  multiplying 512806 relations
Thu Dec 25 04:12:59 2014  multiply complete, coefficients have about 13.05 million bits
Thu Dec 25 04:12:59 2014  initial square root is modulo 31678951
Thu Dec 25 04:13:12 2014  GCD is 1, no factor found
Thu Dec 25 04:13:12 2014  reading relations for dependency 3
Thu Dec 25 04:13:12 2014  read 166423 cycles
Thu Dec 25 04:13:12 2014  cycles contain 512952 unique relations
Thu Dec 25 04:13:20 2014  read 512952 relations
Thu Dec 25 04:13:21 2014  multiplying 512952 relations
Thu Dec 25 04:13:29 2014  multiply complete, coefficients have about 13.06 million bits
Thu Dec 25 04:13:29 2014  initial square root is modulo 31838441
Thu Dec 25 04:13:38 2014  sqrtTime: 114
--
n: 98065174114716640679395526266756886626852205976091710550832083002363370696164671040373432183028840967707138164023810224275053200356957233777568572073
m: 5000000000000000000000000000000
deg: 5
c5: 16
c0: 145
skew: 1.55
# Murphy_E = 9.833e-10
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:21:05 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 5 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:16 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 16 秒 (日本時間)

10156+293

c107

name 名前Cyp
date 日付December 20, 2014 07:10:22 UTC 2014 年 12 月 20 日 (土) 16 時 10 分 22 秒 (日本時間)
composite number 合成数
11440874271164919625313518694375302896734612771750732957922441083012589850376605226464390148299428833508079<107>
prime factors 素因数
475340277606436187363420053216101808181963<42>
24068808830539565162373328314917264845967985514816729283466289133<65>
factorization results 素因数分解の結果
12/20/14 06:18:56 v1.34.3, 
12/20/14 06:18:56 v1.34.3, ****************************
12/20/14 06:18:56 v1.34.3, Starting factorization of 11440874271164919625313518694375302896734612771750732957922441083012589850376605226464390148299428833508079
12/20/14 06:18:56 v1.34.3, using pretesting plan: none
12/20/14 06:18:56 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/20/14 06:18:56 v1.34.3, ****************************
12/20/14 06:18:56 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C107
12/20/14 06:18:56 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C107
12/20/14 06:18:56 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C107
12/20/14 06:18:56 v1.34.3, final ECM pretested depth: 0.00
12/20/14 06:18:56 v1.34.3, scheduler: switching to sieve method
12/20/14 06:18:56 v1.34.3, nfs: commencing nfs on c107: 11440874271164919625313518694375302896734612771750732957922441083012589850376605226464390148299428833508079
12/20/14 06:18:56 v1.34.3, nfs: commencing poly selection with 8 threads
12/20/14 06:18:56 v1.34.3, nfs: setting deadline of 291 seconds
12/20/14 06:23:44 v1.34.3, nfs: completed 14 ranges of size 250 in 287.1845 seconds
12/20/14 06:23:44 v1.34.3, nfs: best poly = # norm 1.394834e-14 alpha -5.458488 e 4.566e-09 rroots 4
12/20/14 06:23:44 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 06:26:44 v1.34.3, nfs: commencing lattice sieving with 8 threads
[19 lines snipped]
12/20/14 07:29:17 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 07:32:00 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 07:34:18 v1.34.3, nfs: commencing msieve filtering
12/20/14 07:35:30 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 07:38:35 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 07:42:03 v1.34.3, nfs: commencing msieve filtering
12/20/14 07:43:25 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 07:46:41 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 07:50:08 v1.34.3, nfs: commencing msieve filtering
12/20/14 07:51:38 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 07:55:02 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 07:58:33 v1.34.3, nfs: commencing msieve filtering
12/20/14 08:00:21 v1.34.3, nfs: commencing msieve linear algebra
12/20/14 08:07:04 v1.34.3, nfs: commencing msieve sqrt
12/20/14 08:10:21 v1.34.3, prp65 = 24068808830539565162373328314917264845967985514816729283466289133
12/20/14 08:10:21 v1.34.3, prp42 = 475340277606436187363420053216101808181963
12/20/14 08:10:21 v1.34.3, NFS elapsed time = 6684.7741 seconds.
12/20/14 08:10:21 v1.34.3, 
12/20/14 08:10:21 v1.34.3, 
12/20/14 08:10:21 v1.34.3, Total factoring time = 6684.8145 seconds
--
Sat Dec 20 07:34:18 2014  
Sat Dec 20 07:34:18 2014  commencing relation filtering
Sat Dec 20 07:34:18 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 07:34:18 2014  commencing duplicate removal, pass 1
Sat Dec 20 07:34:40 2014  found 483781 hash collisions in 4583653 relations
Sat Dec 20 07:34:46 2014  added 158555 free relations
Sat Dec 20 07:34:46 2014  commencing duplicate removal, pass 2
Sat Dec 20 07:34:52 2014  found 260896 duplicates and 4481312 unique relations
Sat Dec 20 07:34:52 2014  memory use: 20.6 MB
Sat Dec 20 07:34:52 2014  reading ideals above 100000
Sat Dec 20 07:34:52 2014  commencing singleton removal, initial pass
Sat Dec 20 07:35:25 2014  memory use: 172.2 MB
Sat Dec 20 07:35:25 2014  reading all ideals from disk
Sat Dec 20 07:35:26 2014  memory use: 145.2 MB
Sat Dec 20 07:35:26 2014  keeping 5530825 ideals with weight <= 200, target excess is 21194
Sat Dec 20 07:35:26 2014  commencing in-memory singleton removal
Sat Dec 20 07:35:27 2014  begin with 4481312 relations and 5530825 unique ideals
Sat Dec 20 07:35:30 2014  reduce to 410 relations and 0 ideals in 55 passes
Sat Dec 20 07:35:30 2014  max relations containing the same ideal: 0
Sat Dec 20 07:42:03 2014  
Sat Dec 20 07:42:03 2014  commencing relation filtering
Sat Dec 20 07:42:03 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 07:42:03 2014  commencing duplicate removal, pass 1
Sat Dec 20 07:42:31 2014  found 576767 hash collisions in 5135965 relations
Sat Dec 20 07:42:38 2014  added 1217 free relations
Sat Dec 20 07:42:38 2014  commencing duplicate removal, pass 2
Sat Dec 20 07:42:44 2014  found 301469 duplicates and 4835713 unique relations
Sat Dec 20 07:42:44 2014  memory use: 20.6 MB
Sat Dec 20 07:42:44 2014  reading ideals above 100000
Sat Dec 20 07:42:45 2014  commencing singleton removal, initial pass
Sat Dec 20 07:43:20 2014  memory use: 172.2 MB
Sat Dec 20 07:43:20 2014  reading all ideals from disk
Sat Dec 20 07:43:20 2014  memory use: 156.8 MB
Sat Dec 20 07:43:21 2014  keeping 5697250 ideals with weight <= 200, target excess is 22742
Sat Dec 20 07:43:21 2014  commencing in-memory singleton removal
Sat Dec 20 07:43:21 2014  begin with 4835713 relations and 5697250 unique ideals
Sat Dec 20 07:43:25 2014  reduce to 1252996 relations and 1339780 ideals in 25 passes
Sat Dec 20 07:43:25 2014  max relations containing the same ideal: 79
Sat Dec 20 07:50:08 2014  
Sat Dec 20 07:50:08 2014  commencing relation filtering
Sat Dec 20 07:50:08 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 07:50:08 2014  commencing duplicate removal, pass 1
Sat Dec 20 07:50:38 2014  found 658554 hash collisions in 5541266 relations
Sat Dec 20 07:50:45 2014  added 939 free relations
Sat Dec 20 07:50:45 2014  commencing duplicate removal, pass 2
Sat Dec 20 07:50:52 2014  found 345765 duplicates and 5196440 unique relations
Sat Dec 20 07:50:52 2014  memory use: 20.6 MB
Sat Dec 20 07:50:52 2014  reading ideals above 100000
Sat Dec 20 07:50:52 2014  commencing singleton removal, initial pass
Sat Dec 20 07:51:32 2014  memory use: 172.2 MB
Sat Dec 20 07:51:32 2014  reading all ideals from disk
Sat Dec 20 07:51:32 2014  memory use: 168.6 MB
Sat Dec 20 07:51:33 2014  keeping 5852092 ideals with weight <= 200, target excess is 24499
Sat Dec 20 07:51:33 2014  commencing in-memory singleton removal
Sat Dec 20 07:51:33 2014  begin with 5196440 relations and 5852092 unique ideals
Sat Dec 20 07:51:38 2014  reduce to 1783477 relations and 1761127 ideals in 19 passes
Sat Dec 20 07:51:38 2014  max relations containing the same ideal: 103
Sat Dec 20 07:58:33 2014  
Sat Dec 20 07:58:33 2014  commencing relation filtering
Sat Dec 20 07:58:33 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 07:58:33 2014  commencing duplicate removal, pass 1
Sat Dec 20 07:59:06 2014  found 744004 hash collisions in 5947064 relations
Sat Dec 20 07:59:12 2014  added 759 free relations
Sat Dec 20 07:59:12 2014  commencing duplicate removal, pass 2
Sat Dec 20 07:59:19 2014  found 392266 duplicates and 5555557 unique relations
Sat Dec 20 07:59:19 2014  memory use: 20.6 MB
Sat Dec 20 07:59:19 2014  reading ideals above 100000
Sat Dec 20 07:59:19 2014  commencing singleton removal, initial pass
Sat Dec 20 08:00:02 2014  memory use: 172.2 MB
Sat Dec 20 08:00:02 2014  reading all ideals from disk
Sat Dec 20 08:00:02 2014  memory use: 180.4 MB
Sat Dec 20 08:00:02 2014  keeping 5992935 ideals with weight <= 200, target excess is 26322
Sat Dec 20 08:00:03 2014  commencing in-memory singleton removal
Sat Dec 20 08:00:03 2014  begin with 5555557 relations and 5992935 unique ideals
Sat Dec 20 08:00:07 2014  reduce to 2286512 relations and 2128319 ideals in 17 passes
Sat Dec 20 08:00:07 2014  max relations containing the same ideal: 114
Sat Dec 20 08:00:08 2014  removing 450927 relations and 387097 ideals in 63830 cliques
Sat Dec 20 08:00:08 2014  commencing in-memory singleton removal
Sat Dec 20 08:00:08 2014  begin with 1835585 relations and 2128319 unique ideals
Sat Dec 20 08:00:09 2014  reduce to 1758435 relations and 1661228 ideals in 10 passes
Sat Dec 20 08:00:09 2014  max relations containing the same ideal: 93
Sat Dec 20 08:00:10 2014  removing 341605 relations and 277775 ideals in 63830 cliques
Sat Dec 20 08:00:10 2014  commencing in-memory singleton removal
Sat Dec 20 08:00:10 2014  begin with 1416830 relations and 1661228 unique ideals
Sat Dec 20 08:00:10 2014  reduce to 1359369 relations and 1323703 ideals in 9 passes
Sat Dec 20 08:00:10 2014  max relations containing the same ideal: 78
Sat Dec 20 08:00:11 2014  relations with 0 large ideals: 486
Sat Dec 20 08:00:11 2014  relations with 1 large ideals: 234
Sat Dec 20 08:00:11 2014  relations with 2 large ideals: 3593
Sat Dec 20 08:00:11 2014  relations with 3 large ideals: 29467
Sat Dec 20 08:00:11 2014  relations with 4 large ideals: 125864
Sat Dec 20 08:00:11 2014  relations with 5 large ideals: 314630
Sat Dec 20 08:00:11 2014  relations with 6 large ideals: 410041
Sat Dec 20 08:00:11 2014  relations with 7+ large ideals: 475054
Sat Dec 20 08:00:11 2014  commencing 2-way merge
Sat Dec 20 08:00:11 2014  reduce to 782602 relation sets and 746936 unique ideals
Sat Dec 20 08:00:11 2014  commencing full merge
Sat Dec 20 08:00:18 2014  memory use: 87.0 MB
Sat Dec 20 08:00:18 2014  found 376614 cycles, need 369136
Sat Dec 20 08:00:18 2014  weight of 369136 cycles is about 25924178 (70.23/cycle)
Sat Dec 20 08:00:18 2014  distribution of cycle lengths:
Sat Dec 20 08:00:18 2014  1 relations: 40159
Sat Dec 20 08:00:18 2014  2 relations: 38515
Sat Dec 20 08:00:18 2014  3 relations: 37620
Sat Dec 20 08:00:18 2014  4 relations: 35136
Sat Dec 20 08:00:18 2014  5 relations: 31945
Sat Dec 20 08:00:18 2014  6 relations: 28999
Sat Dec 20 08:00:18 2014  7 relations: 25758
Sat Dec 20 08:00:18 2014  8 relations: 22867
Sat Dec 20 08:00:18 2014  9 relations: 20278
Sat Dec 20 08:00:18 2014  10+ relations: 87859
Sat Dec 20 08:00:18 2014  heaviest cycle: 23 relations
Sat Dec 20 08:00:18 2014  commencing cycle optimization
Sat Dec 20 08:00:19 2014  start with 2401848 relations
Sat Dec 20 08:00:21 2014  pruned 57039 relations
Sat Dec 20 08:00:21 2014  memory use: 78.0 MB
Sat Dec 20 08:00:21 2014  distribution of cycle lengths:
Sat Dec 20 08:00:21 2014  1 relations: 40159
Sat Dec 20 08:00:21 2014  2 relations: 39308
Sat Dec 20 08:00:21 2014  3 relations: 38834
Sat Dec 20 08:00:21 2014  4 relations: 35949
Sat Dec 20 08:00:21 2014  5 relations: 32745
Sat Dec 20 08:00:21 2014  6 relations: 29484
Sat Dec 20 08:00:21 2014  7 relations: 26118
Sat Dec 20 08:00:21 2014  8 relations: 23116
Sat Dec 20 08:00:21 2014  9 relations: 20345
Sat Dec 20 08:00:21 2014  10+ relations: 83078
Sat Dec 20 08:00:21 2014  heaviest cycle: 23 relations
Sat Dec 20 08:00:21 2014  RelProcTime: 108
Sat Dec 20 08:00:21 2014  
Sat Dec 20 08:00:21 2014  commencing linear algebra
Sat Dec 20 08:00:21 2014  read 369136 cycles
Sat Dec 20 08:00:22 2014  cycles contain 1290922 unique relations
Sat Dec 20 08:00:28 2014  read 1290922 relations
Sat Dec 20 08:00:29 2014  using 20 quadratic characters above 67107324
Sat Dec 20 08:00:33 2014  building initial matrix
Sat Dec 20 08:00:40 2014  memory use: 159.4 MB
Sat Dec 20 08:00:40 2014  read 369136 cycles
Sat Dec 20 08:00:40 2014  matrix is 368954 x 369136 (110.4 MB) with weight 34792512 (94.25/col)
Sat Dec 20 08:00:40 2014  sparse part has weight 24868583 (67.37/col)
Sat Dec 20 08:00:42 2014  filtering completed in 2 passes
Sat Dec 20 08:00:42 2014  matrix is 368076 x 368258 (110.3 MB) with weight 34751754 (94.37/col)
Sat Dec 20 08:00:42 2014  sparse part has weight 24852980 (67.49/col)
Sat Dec 20 08:00:43 2014  matrix starts at (0, 0)
Sat Dec 20 08:00:43 2014  matrix is 368076 x 368258 (110.3 MB) with weight 34751754 (94.37/col)
Sat Dec 20 08:00:43 2014  sparse part has weight 24852980 (67.49/col)
Sat Dec 20 08:00:43 2014  saving the first 48 matrix rows for later
Sat Dec 20 08:00:43 2014  matrix includes 64 packed rows
Sat Dec 20 08:00:43 2014  matrix is 368028 x 368258 (105.8 MB) with weight 27426694 (74.48/col)
Sat Dec 20 08:00:43 2014  sparse part has weight 24047498 (65.30/col)
Sat Dec 20 08:00:43 2014  using block size 65536 for processor cache size 8192 kB
Sat Dec 20 08:00:44 2014  commencing Lanczos iteration (8 threads)
Sat Dec 20 08:00:44 2014  memory use: 100.2 MB
Sat Dec 20 08:00:52 2014  linear algebra at 3.3%, ETA 0h 3m
Sat Dec 20 08:07:03 2014  lanczos halted after 5822 iterations (dim = 368027)
Sat Dec 20 08:07:04 2014  recovered 30 nontrivial dependencies
Sat Dec 20 08:07:04 2014  BLanczosTime: 403
Sat Dec 20 08:07:04 2014  
Sat Dec 20 08:07:04 2014  commencing square root phase
Sat Dec 20 08:07:04 2014  reading relations for dependency 1
Sat Dec 20 08:07:04 2014  read 183973 cycles
Sat Dec 20 08:07:04 2014  cycles contain 645504 unique relations
Sat Dec 20 08:07:13 2014  read 645504 relations
Sat Dec 20 08:07:15 2014  multiplying 645504 relations
Sat Dec 20 08:07:37 2014  multiply complete, coefficients have about 27.76 million bits
Sat Dec 20 08:07:37 2014  initial square root is modulo 94066733
Sat Dec 20 08:08:08 2014  GCD is 1, no factor found
Sat Dec 20 08:08:08 2014  reading relations for dependency 2
Sat Dec 20 08:08:09 2014  read 184434 cycles
Sat Dec 20 08:08:09 2014  cycles contain 646000 unique relations
Sat Dec 20 08:08:18 2014  read 646000 relations
Sat Dec 20 08:08:20 2014  multiplying 646000 relations
Sat Dec 20 08:08:45 2014  multiply complete, coefficients have about 27.78 million bits
Sat Dec 20 08:08:45 2014  initial square root is modulo 95386219
Sat Dec 20 08:09:16 2014  GCD is N, no factor found
Sat Dec 20 08:09:16 2014  reading relations for dependency 3
Sat Dec 20 08:09:16 2014  read 183611 cycles
Sat Dec 20 08:09:16 2014  cycles contain 643958 unique relations
Sat Dec 20 08:09:25 2014  read 643958 relations
Sat Dec 20 08:09:27 2014  multiplying 643958 relations
Sat Dec 20 08:09:49 2014  multiply complete, coefficients have about 27.70 million bits
Sat Dec 20 08:09:49 2014  initial square root is modulo 90174509
Sat Dec 20 08:10:21 2014  sqrtTime: 197
--
n: 11440874271164919625313518694375302896734612771750732957922441083012589850376605226464390148299428833508079
skew: 7322421.30
c0: 1217338108401005538315071459625
c1: -81449528114235287297865
c2: -271361047841681641
c3: 3912573841
c4: 2040
Y0: -48663938041761120219727138
Y1: 2540145109919
rlim: 2780000
alim: 2780000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:01:37 UTC 2014 年 12 月 20 日 (土) 3 時 1 分 37 秒 (日本時間)

10157+293

c100

name 名前Dmitry Domanov
date 日付December 20, 2014 14:03:06 UTC 2014 年 12 月 20 日 (土) 23 時 3 分 6 秒 (日本時間)
composite number 合成数
9692048794912733479042578612623529300160664930772719269673238711683689202493992342108139932356743671<100>
prime factors 素因数
68929427083506752767695854449610275948016868421877<50>
140608288868714835876904181846231332941928882926523<51>
factorization results 素因数分解の結果
N=9692048794912733479042578612623529300160664930772719269673238711683689202493992342108139932356743671
  ( 100 digits)
Divisors found:
 r1=68929427083506752767695854449610275948016868421877 (pp50)
 r2=140608288868714835876904181846231332941928882926523 (pp51)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 3.28 hours.
Scaled time: 6.55 units (timescale=1.997).
Factorization parameters were as follows:
n: 9692048794912733479042578612623529300160664930772719269673238711683689202493992342108139932356743671
skew: 4231583.01
c0: 112043971150127147660011331415
c1: -57045633544892391029384
c2: -19707765295512845
c3: 3801514686
c4: 1008
Y0: -1760914289973559889936296
Y1: 2353029732889
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [900000, 1300001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 243848 x 244089
Total sieving time: 3.11 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,99,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,52,52,2.5,2.5,100000
total time: 3.28 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:01:34 UTC 2014 年 12 月 20 日 (土) 3 時 1 分 34 秒 (日本時間)

10158+293

c156

name 名前Cyp
date 日付December 26, 2014 19:41:14 UTC 2014 年 12 月 27 日 (土) 4 時 41 分 14 秒 (日本時間)
composite number 合成数
709219858156028368794326241134751773049645390070921985815602836879432624113475177304964539007092198581560283687943262411347517730496453900709219858156028369<156>
prime factors 素因数
17662364587939535444335339462181668470449602724800855797174067093413073<71>
40154298402395558148199475784935783174711308244053763641842691476402751090930075063553<86>
factorization results 素因数分解の結果
12/26/14 17:45:48 v1.34.3, 
12/26/14 17:45:48 v1.34.3, ****************************
12/26/14 17:45:48 v1.34.3, Starting factorization of 709219858156028368794326241134751773049645390070921985815602836879432624113475177304964539007092198581560283687943262411347517730496453900709219858156028369
12/26/14 17:45:48 v1.34.3, using pretesting plan: none
12/26/14 17:45:48 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/26/14 17:45:48 v1.34.3, ****************************
12/26/14 17:45:48 v1.34.3, nfs: commencing nfs on c156: 709219858156028368794326241134751773049645390070921985815602836879432624113475177304964539007092198581560283687943262411347517730496453900709219858156028369
12/26/14 17:45:48 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/26/14 17:45:48 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/26/14 17:50:09 v1.34.3, nfs: commencing lattice sieving with 8 threads
[32 lines snipped]
12/26/14 20:22:34 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/26/14 20:27:29 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/26/14 20:32:30 v1.34.3, nfs: commencing msieve filtering
12/26/14 20:34:50 v1.34.3, nfs: commencing msieve linear algebra
12/26/14 20:40:33 v1.34.3, nfs: commencing msieve sqrt
12/26/14 20:41:13 v1.34.3, prp86 = 40154298402395558148199475784935783174711308244053763641842691476402751090930075063553
12/26/14 20:41:13 v1.34.3, prp71 = 17662364587939535444335339462181668470449602724800855797174067093413073
12/26/14 20:41:13 v1.34.3, NFS elapsed time = 10525.2338 seconds.
12/26/14 20:41:13 v1.34.3, 
12/26/14 20:41:13 v1.34.3, 
12/26/14 20:41:13 v1.34.3, Total factoring time = 10525.2347 seconds
--
Fri Dec 26 20:32:30 2014  
Fri Dec 26 20:32:30 2014  commencing relation filtering
Fri Dec 26 20:32:30 2014  estimated available RAM is 15987.3 MB
Fri Dec 26 20:32:30 2014  commencing duplicate removal, pass 1
Fri Dec 26 20:33:01 2014  found 1301148 hash collisions in 10099713 relations
Fri Dec 26 20:33:10 2014  added 359439 free relations
Fri Dec 26 20:33:10 2014  commencing duplicate removal, pass 2
Fri Dec 26 20:33:19 2014  found 832277 duplicates and 9626875 unique relations
Fri Dec 26 20:33:19 2014  memory use: 41.3 MB
Fri Dec 26 20:33:19 2014  reading ideals above 100000
Fri Dec 26 20:33:19 2014  commencing singleton removal, initial pass
Fri Dec 26 20:34:13 2014  memory use: 188.2 MB
Fri Dec 26 20:34:13 2014  reading all ideals from disk
Fri Dec 26 20:34:13 2014  memory use: 333.4 MB
Fri Dec 26 20:34:14 2014  keeping 9763434 ideals with weight <= 200, target excess is 50933
Fri Dec 26 20:34:16 2014  commencing in-memory singleton removal
Fri Dec 26 20:34:16 2014  begin with 9626875 relations and 9763434 unique ideals
Fri Dec 26 20:34:23 2014  reduce to 4715235 relations and 3751839 ideals in 12 passes
Fri Dec 26 20:34:23 2014  max relations containing the same ideal: 128
Fri Dec 26 20:34:25 2014  removing 1302066 relations and 902066 ideals in 400000 cliques
Fri Dec 26 20:34:25 2014  commencing in-memory singleton removal
Fri Dec 26 20:34:26 2014  begin with 3413169 relations and 3751839 unique ideals
Fri Dec 26 20:34:28 2014  reduce to 3178189 relations and 2590977 ideals in 8 passes
Fri Dec 26 20:34:28 2014  max relations containing the same ideal: 106
Fri Dec 26 20:34:30 2014  removing 1101912 relations and 701912 ideals in 400000 cliques
Fri Dec 26 20:34:30 2014  commencing in-memory singleton removal
Fri Dec 26 20:34:30 2014  begin with 2076277 relations and 2590977 unique ideals
Fri Dec 26 20:34:32 2014  reduce to 1866623 relations and 1654014 ideals in 9 passes
Fri Dec 26 20:34:32 2014  max relations containing the same ideal: 73
Fri Dec 26 20:34:33 2014  removing 485122 relations and 331596 ideals in 153526 cliques
Fri Dec 26 20:34:33 2014  commencing in-memory singleton removal
Fri Dec 26 20:34:33 2014  begin with 1381501 relations and 1654014 unique ideals
Fri Dec 26 20:34:34 2014  reduce to 1289101 relations and 1222410 ideals in 7 passes
Fri Dec 26 20:34:34 2014  max relations containing the same ideal: 54
Fri Dec 26 20:34:35 2014  relations with 0 large ideals: 1134
Fri Dec 26 20:34:35 2014  relations with 1 large ideals: 670
Fri Dec 26 20:34:35 2014  relations with 2 large ideals: 9601
Fri Dec 26 20:34:35 2014  relations with 3 large ideals: 60134
Fri Dec 26 20:34:35 2014  relations with 4 large ideals: 192371
Fri Dec 26 20:34:35 2014  relations with 5 large ideals: 341491
Fri Dec 26 20:34:35 2014  relations with 6 large ideals: 367799
Fri Dec 26 20:34:35 2014  relations with 7+ large ideals: 315901
Fri Dec 26 20:34:35 2014  commencing 2-way merge
Fri Dec 26 20:34:36 2014  reduce to 800108 relation sets and 733417 unique ideals
Fri Dec 26 20:34:36 2014  commencing full merge
Fri Dec 26 20:34:46 2014  memory use: 94.8 MB
Fri Dec 26 20:34:46 2014  found 408509 cycles, need 393617
Fri Dec 26 20:34:47 2014  weight of 393617 cycles is about 27678645 (70.32/cycle)
Fri Dec 26 20:34:47 2014  distribution of cycle lengths:
Fri Dec 26 20:34:47 2014  1 relations: 34951
Fri Dec 26 20:34:47 2014  2 relations: 38519
Fri Dec 26 20:34:47 2014  3 relations: 41362
Fri Dec 26 20:34:47 2014  4 relations: 41920
Fri Dec 26 20:34:47 2014  5 relations: 41452
Fri Dec 26 20:34:47 2014  6 relations: 38615
Fri Dec 26 20:34:47 2014  7 relations: 34231
Fri Dec 26 20:34:47 2014  8 relations: 29280
Fri Dec 26 20:34:47 2014  9 relations: 23905
Fri Dec 26 20:34:47 2014  10+ relations: 69382
Fri Dec 26 20:34:47 2014  heaviest cycle: 18 relations
Fri Dec 26 20:34:47 2014  commencing cycle optimization
Fri Dec 26 20:34:47 2014  start with 2356796 relations
Fri Dec 26 20:34:50 2014  pruned 73422 relations
Fri Dec 26 20:34:50 2014  memory use: 75.1 MB
Fri Dec 26 20:34:50 2014  distribution of cycle lengths:
Fri Dec 26 20:34:50 2014  1 relations: 34951
Fri Dec 26 20:34:50 2014  2 relations: 39366
Fri Dec 26 20:34:50 2014  3 relations: 42954
Fri Dec 26 20:34:50 2014  4 relations: 43416
Fri Dec 26 20:34:50 2014  5 relations: 43275
Fri Dec 26 20:34:50 2014  6 relations: 39881
Fri Dec 26 20:34:50 2014  7 relations: 35302
Fri Dec 26 20:34:50 2014  8 relations: 29621
Fri Dec 26 20:34:50 2014  9 relations: 23928
Fri Dec 26 20:34:50 2014  10+ relations: 60923
Fri Dec 26 20:34:50 2014  heaviest cycle: 18 relations
Fri Dec 26 20:34:50 2014  RelProcTime: 140
Fri Dec 26 20:34:50 2014  
Fri Dec 26 20:34:50 2014  commencing linear algebra
Fri Dec 26 20:34:50 2014  read 393617 cycles
Fri Dec 26 20:34:51 2014  cycles contain 1214229 unique relations
Fri Dec 26 20:35:00 2014  read 1214229 relations
Fri Dec 26 20:35:01 2014  using 20 quadratic characters above 134212020
Fri Dec 26 20:35:05 2014  building initial matrix
Fri Dec 26 20:35:15 2014  memory use: 152.2 MB
Fri Dec 26 20:35:15 2014  read 393617 cycles
Fri Dec 26 20:35:15 2014  matrix is 393438 x 393617 (117.1 MB) with weight 34841894 (88.52/col)
Fri Dec 26 20:35:15 2014  sparse part has weight 26367527 (66.99/col)
Fri Dec 26 20:35:17 2014  filtering completed in 2 passes
Fri Dec 26 20:35:17 2014  matrix is 393104 x 393283 (117.1 MB) with weight 34826398 (88.55/col)
Fri Dec 26 20:35:17 2014  sparse part has weight 26359240 (67.02/col)
Fri Dec 26 20:35:18 2014  matrix starts at (0, 0)
Fri Dec 26 20:35:18 2014  matrix is 393104 x 393283 (117.1 MB) with weight 34826398 (88.55/col)
Fri Dec 26 20:35:18 2014  sparse part has weight 26359240 (67.02/col)
Fri Dec 26 20:35:18 2014  saving the first 48 matrix rows for later
Fri Dec 26 20:35:18 2014  matrix includes 64 packed rows
Fri Dec 26 20:35:18 2014  matrix is 393056 x 393283 (110.2 MB) with weight 27377462 (69.61/col)
Fri Dec 26 20:35:18 2014  sparse part has weight 24963848 (63.48/col)
Fri Dec 26 20:35:18 2014  using block size 65536 for processor cache size 8192 kB
Fri Dec 26 20:35:19 2014  commencing Lanczos iteration (8 threads)
Fri Dec 26 20:35:19 2014  memory use: 106.1 MB
Fri Dec 26 20:35:29 2014  linear algebra at 3.1%, ETA 0h 5m
Fri Dec 26 20:40:32 2014  lanczos halted after 6219 iterations (dim = 393056)
Fri Dec 26 20:40:33 2014  recovered 37 nontrivial dependencies
Fri Dec 26 20:40:33 2014  BLanczosTime: 343
Fri Dec 26 20:40:33 2014  
Fri Dec 26 20:40:33 2014  commencing square root phase
Fri Dec 26 20:40:33 2014  reading relations for dependency 1
Fri Dec 26 20:40:33 2014  read 197393 cycles
Fri Dec 26 20:40:33 2014  cycles contain 608340 unique relations
Fri Dec 26 20:40:41 2014  read 608340 relations
Fri Dec 26 20:40:43 2014  multiplying 608340 relations
Fri Dec 26 20:40:55 2014  multiply complete, coefficients have about 18.70 million bits
Fri Dec 26 20:40:55 2014  initial square root is modulo 235111
Fri Dec 26 20:41:13 2014  sqrtTime: 40
--
n: 709219858156028368794326241134751773049645390070921985815602836879432624113475177304964539007092198581560283687943262411347517730496453900709219858156028369
m: 10000000000000000000000000000000
deg: 5
c5: 1000
c0: 29
skew: 0.49
# Murphy_E = 6.495e-10
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:05 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 5 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:26 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 26 秒 (日本時間)

10159+293

c150

name 名前Serge Batalov
date 日付December 21, 2014 01:54:29 UTC 2014 年 12 月 21 日 (日) 10 時 54 分 29 秒 (日本時間)
composite number 合成数
184880593688103947367049287279201028737891064564516559735456621430158804104804947515467545399543427501263524357226282384632072350196843412675078610549<150>
prime factors 素因数
678280688030103338733094537<27>
272572398051083253219831685511804321543905209011367138101090202729953867889428752452455285334305284899012438719720105057677<123>
factorization results 素因数分解の結果
Input number is 184880593688103947367049287279201028737891064564516559735456621430158804104804947515467545399543427501263524357226282384632072350196843412675078610549 (150 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1929672283
Step 1 took 9126ms
Step 2 took 7353ms
********** Factor found in step 2: 678280688030103338733094537
Found probable prime factor of 27 digits: 678280688030103338733094537
Probable prime cofactor 272572398051083253219831685511804321543905209011367138101090202729953867889428752452455285334305284899012438719720105057677 has 123 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:21:06 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 6 秒 (日本時間)

10160+293

c149

name 名前Serge Batalov
date 日付December 21, 2014 01:54:32 UTC 2014 年 12 月 21 日 (日) 10 時 54 分 32 秒 (日本時間)
composite number 合成数
19123527957748350701798068932968339473406504224299012458325390256234988720470295235391618240818827989595538033836202362227649651096669134262089513057<149>
prime factors 素因数
74230576875260623431001773087276619<35>
composite cofactor 合成数の残り
257623324009513270095930776359576105385257464027148040860331749159457907418102297517748693431090073474217133852803<114>
factorization results 素因数分解の結果
Input number is 19123527957748350701798068932968339473406504224299012458325390256234988720470295235391618240818827989595538033836202362227649651096669134262089513057 (149 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=299888024
Step 1 took 9281ms
Step 2 took 7361ms
********** Factor found in step 2: 74230576875260623431001773087276619
Found probable prime factor of 35 digits: 74230576875260623431001773087276619
Composite cofactor 257623324009513270095930776359576105385257464027148040860331749159457907418102297517748693431090073474217133852803 has 114 digits

c114

name 名前Jo Yeong Uk
date 日付December 27, 2014 12:43:18 UTC 2014 年 12 月 27 日 (土) 21 時 43 分 18 秒 (日本時間)
composite number 合成数
257623324009513270095930776359576105385257464027148040860331749159457907418102297517748693431090073474217133852803<114>
prime factors 素因数
123999617458171944301733799601190866609<39>
2077613861159013804215806603076639685242426370947445986583363856303433310067<76>
factorization results 素因数分解の結果
Number: 33343_160
N=257623324009513270095930776359576105385257464027148040860331749159457907418102297517748693431090073474217133852803
  ( 114 digits)
Divisors found:
 r1=123999617458171944301733799601190866609
 r2=2077613861159013804215806603076639685242426370947445986583363856303433310067
Version: 
Total time: 9.19 hours.
Scaled time: 47.19 units (timescale=5.132).
Factorization parameters were as follows:
name: 33343_160
n: 257623324009513270095930776359576105385257464027148040860331749159457907418102297517748693431090073474217133852803
skew: 15965.17
# norm 1.93e+15
c5: 23460
c4: -4170866000
c3: -103522839874375
c2: 1107583246995368065
c1: 3364641408316847036893
c0: -3864520256892227517467474
# alpha -4.90
Y1: 614434826767
Y0: -6428844337354856981757
# Murphy_E 6.28e-10
# M 23449107623370419950593063815639316618183146789374681483289468069074124058126999398423671826385472055376941840293
type: gnfs
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.6
alambda: 2.6
qintsize: 70000
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [1400000, 2380001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9678651
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 485145 x 485393
Polynomial selection time: 1.15 hours.
Total sieving time: 7.40 hours.
Total relation processing time: 0.32 hours.
Matrix solve time: 0.22 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
gnfs,113,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2800000,2800000,27,27,53,53,2.6,2.6,70000
total time: 9.19 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.88 BogoMIPS (lpj=3399941)
Total of 12 processors activated (81598.58 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 20, 2014 21:21:06 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 6 秒 (日本時間)
4511e6600 / 4409Pierre JammesDecember 23, 2014 18:08:11 UTC 2014 年 12 月 24 日 (水) 3 時 8 分 11 秒 (日本時間)

10161+293

c158

name 名前Cyp
date 日付December 28, 2014 07:46:37 UTC 2014 年 12 月 28 日 (日) 16 時 46 分 37 秒 (日本時間)
composite number 合成数
51519835136527563111798042246264811952601751674394641937145801133436373003606388459556929417825862957238536836682122617207624935600206079340546110252447192169<158>
prime factors 素因数
5122957064205565684839058133933698185305709852505781<52>
10056659560256712509137009999250156366742447917551032989343695023744695296424198242760514128556322986926949<107>
factorization results 素因数分解の結果
12/28/14 05:53:26 v1.34.3, 
12/28/14 05:53:26 v1.34.3, ****************************
12/28/14 05:53:26 v1.34.3, Starting factorization of 51519835136527563111798042246264811952601751674394641937145801133436373003606388459556929417825862957238536836682122617207624935600206079340546110252447192169
12/28/14 05:53:26 v1.34.3, using pretesting plan: none
12/28/14 05:53:26 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/28/14 05:53:26 v1.34.3, ****************************
12/28/14 05:53:26 v1.34.3, nfs: commencing nfs on c158: 51519835136527563111798042246264811952601751674394641937145801133436373003606388459556929417825862957238536836682122617207624935600206079340546110252447192169
12/28/14 05:53:26 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/28/14 05:53:26 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/28/14 05:57:47 v1.34.3, nfs: commencing lattice sieving with 8 threads
[32 lines snipped]
12/28/14 08:28:22 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/28/14 08:33:02 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/28/14 08:37:35 v1.34.3, nfs: commencing msieve filtering
12/28/14 08:39:23 v1.34.3, nfs: commencing msieve linear algebra
12/28/14 08:45:59 v1.34.3, nfs: commencing msieve sqrt
12/28/14 08:46:37 v1.34.3, prp107 = 10056659560256712509137009999250156366742447917551032989343695023744695296424198242760514128556322986926949
12/28/14 08:46:37 v1.34.3, prp52 = 5122957064205565684839058133933698185305709852505781
12/28/14 08:46:37 v1.34.3, NFS elapsed time = 10390.5689 seconds.
12/28/14 08:46:37 v1.34.3, 
12/28/14 08:46:37 v1.34.3, 
12/28/14 08:46:37 v1.34.3, Total factoring time = 10390.5700 seconds
--
Sun Dec 28 08:37:35 2014  
Sun Dec 28 08:37:35 2014  commencing relation filtering
Sun Dec 28 08:37:35 2014  estimated available RAM is 15987.3 MB
Sun Dec 28 08:37:35 2014  commencing duplicate removal, pass 1
Sun Dec 28 08:38:02 2014  found 1241755 hash collisions in 10130029 relations
Sun Dec 28 08:38:10 2014  added 367150 free relations
Sun Dec 28 08:38:10 2014  commencing duplicate removal, pass 2
Sun Dec 28 08:38:18 2014  found 745857 duplicates and 9751322 unique relations
Sun Dec 28 08:38:18 2014  memory use: 41.3 MB
Sun Dec 28 08:38:18 2014  reading ideals above 100000
Sun Dec 28 08:38:18 2014  commencing singleton removal, initial pass
Sun Dec 28 08:38:59 2014  memory use: 344.5 MB
Sun Dec 28 08:38:59 2014  reading all ideals from disk
Sun Dec 28 08:39:00 2014  memory use: 341.7 MB
Sun Dec 28 08:39:00 2014  keeping 10277426 ideals with weight <= 200, target excess is 51009
Sun Dec 28 08:39:00 2014  commencing in-memory singleton removal
Sun Dec 28 08:39:01 2014  begin with 9751322 relations and 10277426 unique ideals
Sun Dec 28 08:39:04 2014  reduce to 4435869 relations and 3815374 ideals in 15 passes
Sun Dec 28 08:39:04 2014  max relations containing the same ideal: 118
Sun Dec 28 08:39:05 2014  removing 1153623 relations and 872961 ideals in 280662 cliques
Sun Dec 28 08:39:05 2014  commencing in-memory singleton removal
Sun Dec 28 08:39:05 2014  begin with 3282246 relations and 3815374 unique ideals
Sun Dec 28 08:39:07 2014  reduce to 3045369 relations and 2686681 ideals in 9 passes
Sun Dec 28 08:39:07 2014  max relations containing the same ideal: 91
Sun Dec 28 08:39:07 2014  removing 938580 relations and 657918 ideals in 280662 cliques
Sun Dec 28 08:39:07 2014  commencing in-memory singleton removal
Sun Dec 28 08:39:08 2014  begin with 2106789 relations and 2686681 unique ideals
Sun Dec 28 08:39:08 2014  reduce to 1895033 relations and 1796912 ideals in 10 passes
Sun Dec 28 08:39:08 2014  max relations containing the same ideal: 71
Sun Dec 28 08:39:09 2014  removing 208929 relations and 169979 ideals in 38951 cliques
Sun Dec 28 08:39:09 2014  commencing in-memory singleton removal
Sun Dec 28 08:39:09 2014  begin with 1686104 relations and 1796912 unique ideals
Sun Dec 28 08:39:09 2014  reduce to 1669492 relations and 1609982 ideals in 7 passes
Sun Dec 28 08:39:09 2014  max relations containing the same ideal: 63
Sun Dec 28 08:39:10 2014  relations with 0 large ideals: 1163
Sun Dec 28 08:39:10 2014  relations with 1 large ideals: 468
Sun Dec 28 08:39:10 2014  relations with 2 large ideals: 7629
Sun Dec 28 08:39:10 2014  relations with 3 large ideals: 53371
Sun Dec 28 08:39:10 2014  relations with 4 large ideals: 197017
Sun Dec 28 08:39:10 2014  relations with 5 large ideals: 403419
Sun Dec 28 08:39:10 2014  relations with 6 large ideals: 496207
Sun Dec 28 08:39:10 2014  relations with 7+ large ideals: 510218
Sun Dec 28 08:39:10 2014  commencing 2-way merge
Sun Dec 28 08:39:10 2014  reduce to 994655 relation sets and 935145 unique ideals
Sun Dec 28 08:39:10 2014  commencing full merge
Sun Dec 28 08:39:19 2014  memory use: 118.0 MB
Sun Dec 28 08:39:19 2014  found 505321 cycles, need 497345
Sun Dec 28 08:39:19 2014  weight of 497345 cycles is about 35095185 (70.57/cycle)
Sun Dec 28 08:39:19 2014  distribution of cycle lengths:
Sun Dec 28 08:39:19 2014  1 relations: 50829
Sun Dec 28 08:39:19 2014  2 relations: 49836
Sun Dec 28 08:39:19 2014  3 relations: 50820
Sun Dec 28 08:39:19 2014  4 relations: 50608
Sun Dec 28 08:39:19 2014  5 relations: 48170
Sun Dec 28 08:39:19 2014  6 relations: 44885
Sun Dec 28 08:39:19 2014  7 relations: 40095
Sun Dec 28 08:39:19 2014  8 relations: 34959
Sun Dec 28 08:39:19 2014  9 relations: 29650
Sun Dec 28 08:39:19 2014  10+ relations: 97493
Sun Dec 28 08:39:19 2014  heaviest cycle: 20 relations
Sun Dec 28 08:39:19 2014  commencing cycle optimization
Sun Dec 28 08:39:20 2014  start with 3042873 relations
Sun Dec 28 08:39:22 2014  pruned 78169 relations
Sun Dec 28 08:39:22 2014  memory use: 98.8 MB
Sun Dec 28 08:39:22 2014  distribution of cycle lengths:
Sun Dec 28 08:39:22 2014  1 relations: 50829
Sun Dec 28 08:39:22 2014  2 relations: 50821
Sun Dec 28 08:39:22 2014  3 relations: 52506
Sun Dec 28 08:39:22 2014  4 relations: 51949
Sun Dec 28 08:39:22 2014  5 relations: 49705
Sun Dec 28 08:39:22 2014  6 relations: 45859
Sun Dec 28 08:39:22 2014  7 relations: 40989
Sun Dec 28 08:39:22 2014  8 relations: 35326
Sun Dec 28 08:39:22 2014  9 relations: 29707
Sun Dec 28 08:39:22 2014  10+ relations: 89654
Sun Dec 28 08:39:22 2014  heaviest cycle: 20 relations
Sun Dec 28 08:39:23 2014  RelProcTime: 108
Sun Dec 28 08:39:23 2014  
Sun Dec 28 08:39:23 2014  commencing linear algebra
Sun Dec 28 08:39:23 2014  read 497345 cycles
Sun Dec 28 08:39:23 2014  cycles contain 1624778 unique relations
Sun Dec 28 08:39:33 2014  read 1624778 relations
Sun Dec 28 08:39:34 2014  using 20 quadratic characters above 134211578
Sun Dec 28 08:39:39 2014  building initial matrix
Sun Dec 28 08:39:47 2014  memory use: 198.5 MB
Sun Dec 28 08:39:47 2014  read 497345 cycles
Sun Dec 28 08:39:47 2014  matrix is 497168 x 497345 (149.3 MB) with weight 44737231 (89.95/col)
Sun Dec 28 08:39:47 2014  sparse part has weight 33671407 (67.70/col)
Sun Dec 28 08:39:49 2014  filtering completed in 2 passes
Sun Dec 28 08:39:49 2014  matrix is 496926 x 497103 (149.3 MB) with weight 44729432 (89.98/col)
Sun Dec 28 08:39:49 2014  sparse part has weight 33668935 (67.73/col)
Sun Dec 28 08:39:50 2014  matrix starts at (0, 0)
Sun Dec 28 08:39:50 2014  matrix is 496926 x 497103 (149.3 MB) with weight 44729432 (89.98/col)
Sun Dec 28 08:39:50 2014  sparse part has weight 33668935 (67.73/col)
Sun Dec 28 08:39:50 2014  saving the first 48 matrix rows for later
Sun Dec 28 08:39:50 2014  matrix includes 64 packed rows
Sun Dec 28 08:39:50 2014  matrix is 496878 x 497103 (141.3 MB) with weight 35357014 (71.13/col)
Sun Dec 28 08:39:50 2014  sparse part has weight 32079006 (64.53/col)
Sun Dec 28 08:39:50 2014  using block size 65536 for processor cache size 8192 kB
Sun Dec 28 08:39:51 2014  commencing Lanczos iteration (8 threads)
Sun Dec 28 08:39:51 2014  memory use: 137.0 MB
Sun Dec 28 08:40:00 2014  linear algebra at 2.4%, ETA 0h 5m
Sun Dec 28 08:45:58 2014  lanczos halted after 7858 iterations (dim = 496877)
Sun Dec 28 08:45:59 2014  recovered 36 nontrivial dependencies
Sun Dec 28 08:45:59 2014  BLanczosTime: 396
Sun Dec 28 08:45:59 2014  
Sun Dec 28 08:45:59 2014  commencing square root phase
Sun Dec 28 08:45:59 2014  reading relations for dependency 1
Sun Dec 28 08:45:59 2014  read 248468 cycles
Sun Dec 28 08:45:59 2014  cycles contain 813342 unique relations
Sun Dec 28 08:46:07 2014  read 813342 relations
Sun Dec 28 08:46:09 2014  multiplying 813342 relations
Sun Dec 28 08:46:21 2014  multiply complete, coefficients have about 20.22 million bits
Sun Dec 28 08:46:21 2014  initial square root is modulo 641051
Sun Dec 28 08:46:37 2014  sqrtTime: 38
--
n: 51519835136527563111798042246264811952601751674394641937145801133436373003606388459556929417825862957238536836682122617207624935600206079340546110252447192169
m: 100000000000000000000000000000000
deg: 5
c5: 10
c0: 29
skew: 1.24
# Murphy_E = 5.618e-10
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:07 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 7 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:29 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 29 秒 (日本時間)

10162+293

c141

name 名前Cyp
date 日付December 28, 2014 10:54:35 UTC 2014 年 12 月 28 日 (日) 19 時 54 分 35 秒 (日本時間)
composite number 合成数
131005333567978869926384338649750840875017878051619570829838529874474245263293988578936560656615384208280564118333398756543957625862122137897<141>
prime factors 素因数
1047919349730873041150118800550006262783699497905653<52>
125014709959906455233786757121148136336558723148181099074232569828371167633789893261605349<90>
factorization results 素因数分解の結果
12/28/14 08:46:47 v1.34.3, 
12/28/14 08:46:47 v1.34.3, ****************************
12/28/14 08:46:47 v1.34.3, Starting factorization of 131005333567978869926384338649750840875017878051619570829838529874474245263293988578936560656615384208280564118333398756543957625862122137897
12/28/14 08:46:47 v1.34.3, using pretesting plan: none
12/28/14 08:46:47 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/28/14 08:46:47 v1.34.3, ****************************
12/28/14 08:46:47 v1.34.3, nfs: commencing nfs on c141: 131005333567978869926384338649750840875017878051619570829838529874474245263293988578936560656615384208280564118333398756543957625862122137897
12/28/14 08:46:47 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/28/14 08:46:47 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/28/14 08:50:21 v1.34.3, nfs: commencing lattice sieving with 8 threads
[45 lines snipped]
12/28/14 11:37:22 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/28/14 11:41:07 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/28/14 11:44:48 v1.34.3, nfs: commencing msieve filtering
12/28/14 11:46:38 v1.34.3, nfs: commencing msieve linear algebra
12/28/14 11:53:51 v1.34.3, nfs: commencing msieve sqrt
12/28/14 11:54:34 v1.34.3, prp52 = 1047919349730873041150118800550006262783699497905653
12/28/14 11:54:34 v1.34.3, prp90 = 125014709959906455233786757121148136336558723148181099074232569828371167633789893261605349
12/28/14 11:54:34 v1.34.3, NFS elapsed time = 11266.8048 seconds.
12/28/14 11:54:34 v1.34.3, 
12/28/14 11:54:34 v1.34.3, 
12/28/14 11:54:34 v1.34.3, Total factoring time = 11266.8055 seconds
--
Sun Dec 28 11:44:48 2014  
Sun Dec 28 11:44:48 2014  commencing relation filtering
Sun Dec 28 11:44:48 2014  estimated available RAM is 15987.3 MB
Sun Dec 28 11:44:48 2014  commencing duplicate removal, pass 1
Sun Dec 28 11:45:16 2014  found 1273799 hash collisions in 10174041 relations
Sun Dec 28 11:45:24 2014  added 366329 free relations
Sun Dec 28 11:45:25 2014  commencing duplicate removal, pass 2
Sun Dec 28 11:45:32 2014  found 782871 duplicates and 9757499 unique relations
Sun Dec 28 11:45:32 2014  memory use: 41.3 MB
Sun Dec 28 11:45:32 2014  reading ideals above 100000
Sun Dec 28 11:45:32 2014  commencing singleton removal, initial pass
Sun Dec 28 11:46:14 2014  memory use: 344.5 MB
Sun Dec 28 11:46:14 2014  reading all ideals from disk
Sun Dec 28 11:46:14 2014  memory use: 343.1 MB
Sun Dec 28 11:46:15 2014  keeping 10306342 ideals with weight <= 200, target excess is 51077
Sun Dec 28 11:46:15 2014  commencing in-memory singleton removal
Sun Dec 28 11:46:15 2014  begin with 9757499 relations and 10306342 unique ideals
Sun Dec 28 11:46:19 2014  reduce to 4432570 relations and 3835751 ideals in 14 passes
Sun Dec 28 11:46:19 2014  max relations containing the same ideal: 121
Sun Dec 28 11:46:20 2014  removing 1129151 relations and 860366 ideals in 268785 cliques
Sun Dec 28 11:46:20 2014  commencing in-memory singleton removal
Sun Dec 28 11:46:20 2014  begin with 3303419 relations and 3835751 unique ideals
Sun Dec 28 11:46:22 2014  reduce to 3073917 relations and 2728191 ideals in 11 passes
Sun Dec 28 11:46:22 2014  max relations containing the same ideal: 91
Sun Dec 28 11:46:22 2014  removing 921405 relations and 652620 ideals in 268785 cliques
Sun Dec 28 11:46:23 2014  commencing in-memory singleton removal
Sun Dec 28 11:46:23 2014  begin with 2152512 relations and 2728191 unique ideals
Sun Dec 28 11:46:23 2014  reduce to 1946880 relations and 1851478 ideals in 12 passes
Sun Dec 28 11:46:23 2014  max relations containing the same ideal: 67
Sun Dec 28 11:46:24 2014  removing 199522 relations and 163370 ideals in 36152 cliques
Sun Dec 28 11:46:24 2014  commencing in-memory singleton removal
Sun Dec 28 11:46:24 2014  begin with 1747358 relations and 1851478 unique ideals
Sun Dec 28 11:46:24 2014  reduce to 1732713 relations and 1673186 ideals in 7 passes
Sun Dec 28 11:46:24 2014  max relations containing the same ideal: 61
Sun Dec 28 11:46:25 2014  relations with 0 large ideals: 1201
Sun Dec 28 11:46:25 2014  relations with 1 large ideals: 434
Sun Dec 28 11:46:25 2014  relations with 2 large ideals: 7441
Sun Dec 28 11:46:25 2014  relations with 3 large ideals: 53176
Sun Dec 28 11:46:25 2014  relations with 4 large ideals: 196616
Sun Dec 28 11:46:25 2014  relations with 5 large ideals: 410407
Sun Dec 28 11:46:25 2014  relations with 6 large ideals: 515568
Sun Dec 28 11:46:25 2014  relations with 7+ large ideals: 547870
Sun Dec 28 11:46:25 2014  commencing 2-way merge
Sun Dec 28 11:46:25 2014  reduce to 1034109 relation sets and 974582 unique ideals
Sun Dec 28 11:46:25 2014  commencing full merge
Sun Dec 28 11:46:35 2014  memory use: 123.0 MB
Sun Dec 28 11:46:35 2014  found 528775 cycles, need 520782
Sun Dec 28 11:46:35 2014  weight of 520782 cycles is about 36632203 (70.34/cycle)
Sun Dec 28 11:46:35 2014  distribution of cycle lengths:
Sun Dec 28 11:46:35 2014  1 relations: 54144
Sun Dec 28 11:46:35 2014  2 relations: 53039
Sun Dec 28 11:46:35 2014  3 relations: 54786
Sun Dec 28 11:46:35 2014  4 relations: 53562
Sun Dec 28 11:46:35 2014  5 relations: 51479
Sun Dec 28 11:46:35 2014  6 relations: 46987
Sun Dec 28 11:46:35 2014  7 relations: 41903
Sun Dec 28 11:46:35 2014  8 relations: 36594
Sun Dec 28 11:46:35 2014  9 relations: 30679
Sun Dec 28 11:46:35 2014  10+ relations: 97609
Sun Dec 28 11:46:35 2014  heaviest cycle: 20 relations
Sun Dec 28 11:46:35 2014  commencing cycle optimization
Sun Dec 28 11:46:35 2014  start with 3134933 relations
Sun Dec 28 11:46:38 2014  pruned 79773 relations
Sun Dec 28 11:46:38 2014  memory use: 102.4 MB
Sun Dec 28 11:46:38 2014  distribution of cycle lengths:
Sun Dec 28 11:46:38 2014  1 relations: 54144
Sun Dec 28 11:46:38 2014  2 relations: 54122
Sun Dec 28 11:46:38 2014  3 relations: 56669
Sun Dec 28 11:46:38 2014  4 relations: 54988
Sun Dec 28 11:46:38 2014  5 relations: 52991
Sun Dec 28 11:46:38 2014  6 relations: 48040
Sun Dec 28 11:46:38 2014  7 relations: 42923
Sun Dec 28 11:46:38 2014  8 relations: 36713
Sun Dec 28 11:46:38 2014  9 relations: 30628
Sun Dec 28 11:46:38 2014  10+ relations: 89564
Sun Dec 28 11:46:38 2014  heaviest cycle: 20 relations
Sun Dec 28 11:46:38 2014  RelProcTime: 110
Sun Dec 28 11:46:38 2014  
Sun Dec 28 11:46:38 2014  commencing linear algebra
Sun Dec 28 11:46:38 2014  read 520782 cycles
Sun Dec 28 11:46:39 2014  cycles contain 1688300 unique relations
Sun Dec 28 11:46:49 2014  read 1688300 relations
Sun Dec 28 11:46:50 2014  using 20 quadratic characters above 134213232
Sun Dec 28 11:46:55 2014  building initial matrix
Sun Dec 28 11:47:03 2014  memory use: 202.7 MB
Sun Dec 28 11:47:03 2014  read 520782 cycles
Sun Dec 28 11:47:03 2014  matrix is 520605 x 520782 (156.0 MB) with weight 46032624 (88.39/col)
Sun Dec 28 11:47:03 2014  sparse part has weight 35152886 (67.50/col)
Sun Dec 28 11:47:05 2014  filtering completed in 2 passes
Sun Dec 28 11:47:05 2014  matrix is 520353 x 520530 (155.9 MB) with weight 46024065 (88.42/col)
Sun Dec 28 11:47:05 2014  sparse part has weight 35149530 (67.53/col)
Sun Dec 28 11:47:06 2014  matrix starts at (0, 0)
Sun Dec 28 11:47:06 2014  matrix is 520353 x 520530 (155.9 MB) with weight 46024065 (88.42/col)
Sun Dec 28 11:47:06 2014  sparse part has weight 35149530 (67.53/col)
Sun Dec 28 11:47:06 2014  saving the first 48 matrix rows for later
Sun Dec 28 11:47:06 2014  matrix includes 64 packed rows
Sun Dec 28 11:47:07 2014  matrix is 520305 x 520530 (147.6 MB) with weight 36741570 (70.58/col)
Sun Dec 28 11:47:07 2014  sparse part has weight 33489576 (64.34/col)
Sun Dec 28 11:47:07 2014  using block size 65536 for processor cache size 8192 kB
Sun Dec 28 11:47:08 2014  commencing Lanczos iteration (8 threads)
Sun Dec 28 11:47:08 2014  memory use: 142.8 MB
Sun Dec 28 11:47:10 2014  linear algebra at 0.6%, ETA 0h 5m
Sun Dec 28 11:53:51 2014  lanczos halted after 8229 iterations (dim = 520305)
Sun Dec 28 11:53:51 2014  recovered 40 nontrivial dependencies
Sun Dec 28 11:53:51 2014  BLanczosTime: 433
Sun Dec 28 11:53:51 2014  
Sun Dec 28 11:53:51 2014  commencing square root phase
Sun Dec 28 11:53:51 2014  reading relations for dependency 1
Sun Dec 28 11:53:51 2014  read 259735 cycles
Sun Dec 28 11:53:51 2014  cycles contain 843334 unique relations
Sun Dec 28 11:53:59 2014  read 843334 relations
Sun Dec 28 11:54:01 2014  multiplying 843334 relations
Sun Dec 28 11:54:15 2014  multiply complete, coefficients have about 23.52 million bits
Sun Dec 28 11:54:15 2014  initial square root is modulo 5694071
Sun Dec 28 11:54:34 2014  sqrtTime: 43
--
n: 131005333567978869926384338649750840875017878051619570829838529874474245263293988578936560656615384208280564118333398756543957625862122137897
m: 100000000000000000000000000000000
deg: 5
c5: 100
c0: 29
skew: 0.78
# Murphy_E = 4.917e-10
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:21:07 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 7 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:16 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 16 秒 (日本時間)

10163+293

c138

name 名前Serge Batalov
date 日付December 21, 2014 01:54:36 UTC 2014 年 12 月 21 日 (日) 10 時 54 分 36 秒 (日本時間)
composite number 合成数
111780424195679811787352308566287842454666167209618801892912570076778292781189324785051236177094235861230818830065027951592004906920397371<138>
prime factors 素因数
140397284942608209973494732637<30>
796172263882264982410525986185209103980565384157234851363404019599797133722246513096900995449114522787710583<108>
factorization results 素因数分解の結果
Input number is 111780424195679811787352308566287842454666167209618801892912570076778292781189324785051236177094235861230818830065027951592004906920397371 (138 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=651693168
Step 1 took 9138ms
Step 2 took 7133ms
********** Factor found in step 2: 140397284942608209973494732637
Found probable prime factor of 30 digits: 140397284942608209973494732637
Probable prime cofactor 796172263882264982410525986185209103980565384157234851363404019599797133722246513096900995449114522787710583 has 108 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:21:07 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 7 秒 (日本時間)

10166+293

c162

name 名前Robert Backstrom
date 日付January 4, 2015 11:17:46 UTC 2015 年 1 月 4 日 (日) 20 時 17 分 46 秒 (日本時間)
composite number 合成数
393964464405310640980183587440412874758696765551747232399637552692747114210298231099554820155221998975692392546192333451522672654926525627388409565457195760942363<162>
prime factors 素因数
4545407627020942408940232431374728075932812762392739477291227608637584093563<76>
86673076813468262779735014828225133433572492654962950088525790182411733345661677797601<86>
factorization results 素因数分解の結果
Number: n
N=393964464405310640980183587440412874758696765551747232399637552692747114210298231099554820155221998975692392546192333451522672654926525627388409565457195760942363
  ( 162 digits)
SNFS difficulty: 166 digits.
Divisors found:

Sun Jan  4 21:32:09 2015  prp76 factor: 4545407627020942408940232431374728075932812762392739477291227608637584093563
Sun Jan  4 21:32:09 2015  prp86 factor: 86673076813468262779735014828225133433572492654962950088525790182411733345661677797601
Sun Jan  4 21:32:09 2015  elapsed time 00:09:28 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=3.825).
Factorization parameters were as follows:
#
#  N = 10^166+29 3(164)43
#
n: 393964464405310640980183587440412874758696765551747232399637552692747114210298231099554820155221998975692392546192333451522672654926525627388409565457195760942363
m: 1000000000000000000000000000000000
deg: 5
c5: 10
c0: 29
skew: 1.24
# Murphy_E = 3.583e-10
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 4850000)
Primes: RFBsize:289774, AFBsize:290097,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 2153903 hash collisions in 16428264 relations (14852126 unique)
Msieve: matrix is 500318 x 500556 (139.7 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0hrs 6min 15sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 24sec.

Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.038918] smpboot: CPU0: Intel(R) Core(TM) i7-4790 CPU @ 3.60GHz (fam: 06, model: 3c, stepping: 03)
[    0.000000] Memory: 16059668K/16661464K available (7375K kernel code, 1160K rwdata, 3228K rodata, 1468K init, 1504K bss, 601796K reserved)
[    1.117641] [drm] Memory usable by graphics device = 2048M
[    0.000027] Calibrating delay loop (skipped), value calculated using timer frequency.. 7200.23 BogoMIPS (lpj=3600117)
[    0.136797] smpboot: Total of 8 processors activated (57601.87 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:09 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 9 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:30 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 30 秒 (日本時間)

10167+293

c138

name 名前Serge Batalov
date 日付December 21, 2014 01:54:40 UTC 2014 年 12 月 21 日 (日) 10 時 54 分 40 秒 (日本時間)
composite number 合成数
157658320392020604175616943865174067478035482319605569537974100795174673357577627728508512978640989397892322149317302327005447169231345081<138>
prime factors 素因数
3755654629698824049127013485513911809<37>
41978918707086664391673195910898187473557676091504453664207648806085111747693154972936017917213153209<101>
factorization results 素因数分解の結果
Input number is 157658320392020604175616943865174067478035482319605569537974100795174673357577627728508512978640989397892322149317302327005447169231345081 (138 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=615030127
Step 1 took 9331ms
Step 2 took 7102ms
********** Factor found in step 2: 3755654629698824049127013485513911809
Found probable prime factor of 37 digits: 3755654629698824049127013485513911809
Probable prime cofactor 41978918707086664391673195910898187473557676091504453664207648806085111747693154972936017917213153209 has 101 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:21:08 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 8 秒 (日本時間)

10168+293

c153

name 名前Serge Batalov
date 日付December 21, 2014 01:54:43 UTC 2014 年 12 月 21 日 (日) 10 時 54 分 43 秒 (日本時間)
composite number 合成数
657109604140629290639332452562254524174551406891556108146105283836506279556027920380398039838097099130708194961283736403314590336639677288852296808578621<153>
prime factors 素因数
169845175391839801689755028095951<33>
composite cofactor 合成数の残り
3868874123887537112388474880384997227523893913412640822271802465156493511763944052992586443598178776561082510386249221171<121>
factorization results 素因数分解の結果
Input number is 657109604140629290639332452562254524174551406891556108146105283836506279556027920380398039838097099130708194961283736403314590336639677288852296808578621 (153 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=333896819
Step 1 took 10272ms
Step 2 took 8764ms
********** Factor found in step 2: 169845175391839801689755028095951
Found probable prime factor of 33 digits: 169845175391839801689755028095951
Composite cofactor 3868874123887537112388474880384997227523893913412640822271802465156493511763944052992586443598178776561082510386249221171 has 121 digits

c121

name 名前Jo Yeong Uk
date 日付March 20, 2015 09:31:32 UTC 2015 年 3 月 20 日 (金) 18 時 31 分 32 秒 (日本時間)
composite number 合成数
3868874123887537112388474880384997227523893913412640822271802465156493511763944052992586443598178776561082510386249221171<121>
prime factors 素因数
980374690256220799662845444479992886298762149668528511290061<60>
3946321913794416047102418541677976242750803695959346180000511<61>
factorization results 素因数分解の結果
Number: 33343_168
N=3868874123887537112388474880384997227523893913412640822271802465156493511763944052992586443598178776561082510386249221171
  ( 121 digits)
Divisors found:
 r1=980374690256220799662845444479992886298762149668528511290061
 r2=3946321913794416047102418541677976242750803695959346180000511
Version: 
Total time: 21.15 hours.
Scaled time: 108.84 units (timescale=5.146).
Factorization parameters were as follows:
name: 33343_168
n: 3868874123887537112388474880384997227523893913412640822271802465156493511763944052992586443598178776561082510386249221171
skew: 81462.61
# norm 6.95e+16
c5: 112320
c4: -2541179355
c3: -3166351027406960
c2: 11002433412715824998
c1: 6851608002173036271771792
c0: 3817565869799035434527284629
# alpha -6.48
Y1: 1068729921743
Y0: -128063544357033908262094
# Murphy_E 2.57e-10
# M 2473486591147534033421898636510441607449880456202835921897670824588623026798910032033349132829986736506738381629279988207
type: gnfs
rlim: 4800000
alim: 4800000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2400000, 4600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 10970227
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 766839 x 767086
Polynomial selection time: 2.99 hours.
Total sieving time: 16.93 hours.
Total relation processing time: 0.58 hours.
Matrix solve time: 0.57 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
gnfs,120,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4800000,4800000,27,27,54,54,2.5,2.5,100000
total time: 21.15 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.89 BogoMIPS (lpj=3399946)
Total of 12 processors activated (81598.70 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e61324300Serge BatalovDecember 20, 2014 21:21:08 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 8 秒 (日本時間)
1024CypDecember 24, 2014 13:54:16 UTC 2014 年 12 月 24 日 (水) 22 時 54 分 16 秒 (日本時間)
4511e6750 / 4182Pierre JammesDecember 28, 2014 08:14:52 UTC 2014 年 12 月 28 日 (日) 17 時 14 分 52 秒 (日本時間)

10169+293

c121

name 名前Rich Smith
date 日付February 24, 2015 16:18:00 UTC 2015 年 2 月 25 日 (水) 1 時 18 分 0 秒 (日本時間)
composite number 合成数
3382539652026647806488087406245218816393142409155391091424843785313554277809504418985872823158812505506698049478515412023<121>
prime factors 素因数
193647200458191474789764670446953369312148292299597<51>
17467537067528842330651648697184808737920644213640869449949639329901459<71>
factorization results 素因数分解の結果
P71 = 17467537067528842330651648697184808737920644213640869449949639329901459
P51 = 193647200458191474789764670446953369312148292299597
software ソフトウェア
YAFU 1.31

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 20, 2014 21:21:08 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 8 秒 (日本時間)
4511e6600 / 4409Pierre JammesDecember 28, 2014 21:11:02 UTC 2014 年 12 月 29 日 (月) 6 時 11 分 2 秒 (日本時間)

10171+293

c109

name 名前Cyp
date 日付December 20, 2014 20:01:29 UTC 2014 年 12 月 21 日 (日) 5 時 1 分 29 秒 (日本時間)
composite number 合成数
1157505490966043998425566646245647783854593440547977560583030034688644163525335198014566489456529617346366363<109>
prime factors 素因数
558271747925916471868855216708349738640096155974571<51>
2073372860558307842343277910952452274357416146688566067153<58>
factorization results 素因数分解の結果
12/20/14 18:41:31 v1.34.3, 
12/20/14 18:41:31 v1.34.3, ****************************
12/20/14 18:41:31 v1.34.3, Starting factorization of 1157505490966043998425566646245647783854593440547977560583030034688644163525335198014566489456529617346366363
12/20/14 18:41:31 v1.34.3, using pretesting plan: none
12/20/14 18:41:31 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/20/14 18:41:31 v1.34.3, ****************************
12/20/14 18:41:31 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C109
12/20/14 18:41:31 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C109
12/20/14 18:41:31 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C109
12/20/14 18:41:31 v1.34.3, final ECM pretested depth: 0.00
12/20/14 18:41:31 v1.34.3, scheduler: switching to sieve method
12/20/14 18:41:31 v1.34.3, nfs: commencing nfs on c109: 1157505490966043998425566646245647783854593440547977560583030034688644163525335198014566489456529617346366363
12/20/14 18:41:31 v1.34.3, nfs: commencing poly selection with 8 threads
12/20/14 18:41:31 v1.34.3, nfs: setting deadline of 370 seconds
12/20/14 18:49:12 v1.34.3, nfs: completed 20 ranges of size 250 in 460.6441 seconds
12/20/14 18:49:12 v1.34.3, nfs: best poly = # norm 7.278252e-15 alpha -4.597354 e 3.348e-09 rroots 4
12/20/14 18:49:12 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 18:56:33 v1.34.3, nfs: commencing lattice sieving with 8 threads
[5 lines snipped]
12/20/14 20:02:10 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 20:11:41 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 20:21:28 v1.34.3, nfs: commencing msieve filtering
12/20/14 20:22:14 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 20:29:42 v1.34.3, nfs: commencing msieve filtering
12/20/14 20:31:07 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 20:41:27 v1.34.3, nfs: commencing msieve filtering
12/20/14 20:43:18 v1.34.3, nfs: commencing msieve linear algebra
12/20/14 20:56:58 v1.34.3, nfs: commencing msieve sqrt
12/20/14 21:01:28 v1.34.3, prp58 = 2073372860558307842343277910952452274357416146688566067153
12/20/14 21:01:28 v1.34.3, prp51 = 558271747925916471868855216708349738640096155974571
12/20/14 21:01:28 v1.34.3, NFS elapsed time = 8397.2706 seconds.
12/20/14 21:01:28 v1.34.3, 
12/20/14 21:01:28 v1.34.3, 
12/20/14 21:01:28 v1.34.3, Total factoring time = 8397.3149 seconds
--
Sat Dec 20 20:21:28 2014  
Sat Dec 20 20:21:28 2014  commencing relation filtering
Sat Dec 20 20:21:28 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 20:21:28 2014  commencing duplicate removal, pass 1
Sat Dec 20 20:21:41 2014  found 379218 hash collisions in 4501377 relations
Sat Dec 20 20:21:45 2014  added 160283 free relations
Sat Dec 20 20:21:45 2014  commencing duplicate removal, pass 2
Sat Dec 20 20:21:49 2014  found 135048 duplicates and 4526612 unique relations
Sat Dec 20 20:21:49 2014  memory use: 19.6 MB
Sat Dec 20 20:21:49 2014  reading ideals above 100000
Sat Dec 20 20:21:49 2014  commencing singleton removal, initial pass
Sat Dec 20 20:22:11 2014  memory use: 172.2 MB
Sat Dec 20 20:22:11 2014  reading all ideals from disk
Sat Dec 20 20:22:11 2014  memory use: 150.7 MB
Sat Dec 20 20:22:11 2014  keeping 5599927 ideals with weight <= 200, target excess is 36429
Sat Dec 20 20:22:12 2014  commencing in-memory singleton removal
Sat Dec 20 20:22:12 2014  begin with 4526612 relations and 5599927 unique ideals
Sat Dec 20 20:22:14 2014  reduce to 453 relations and 1 ideals in 24 passes
Sat Dec 20 20:22:14 2014  max relations containing the same ideal: 2
Sat Dec 20 20:29:42 2014  
Sat Dec 20 20:29:42 2014  commencing relation filtering
Sat Dec 20 20:29:42 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 20:29:42 2014  commencing duplicate removal, pass 1
Sat Dec 20 20:30:11 2014  found 480297 hash collisions in 5168399 relations
Sat Dec 20 20:30:17 2014  added 1364 free relations
Sat Dec 20 20:30:17 2014  commencing duplicate removal, pass 2
Sat Dec 20 20:30:23 2014  found 164793 duplicates and 5004970 unique relations
Sat Dec 20 20:30:23 2014  memory use: 20.6 MB
Sat Dec 20 20:30:23 2014  reading ideals above 100000
Sat Dec 20 20:30:23 2014  commencing singleton removal, initial pass
Sat Dec 20 20:31:02 2014  memory use: 172.2 MB
Sat Dec 20 20:31:03 2014  reading all ideals from disk
Sat Dec 20 20:31:03 2014  memory use: 166.7 MB
Sat Dec 20 20:31:03 2014  keeping 5812752 ideals with weight <= 200, target excess is 41065
Sat Dec 20 20:31:03 2014  commencing in-memory singleton removal
Sat Dec 20 20:31:04 2014  begin with 5004970 relations and 5812752 unique ideals
Sat Dec 20 20:31:07 2014  reduce to 1427809 relations and 1497688 ideals in 25 passes
Sat Dec 20 20:31:07 2014  max relations containing the same ideal: 87
Sat Dec 20 20:41:27 2014  
Sat Dec 20 20:41:27 2014  commencing relation filtering
Sat Dec 20 20:41:27 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 20:41:27 2014  commencing duplicate removal, pass 1
Sat Dec 20 20:41:57 2014  found 568242 hash collisions in 5665237 relations
Sat Dec 20 20:42:03 2014  added 975 free relations
Sat Dec 20 20:42:03 2014  commencing duplicate removal, pass 2
Sat Dec 20 20:42:10 2014  found 196594 duplicates and 5469618 unique relations
Sat Dec 20 20:42:10 2014  memory use: 20.6 MB
Sat Dec 20 20:42:10 2014  reading ideals above 100000
Sat Dec 20 20:42:10 2014  commencing singleton removal, initial pass
Sat Dec 20 20:42:50 2014  memory use: 172.2 MB
Sat Dec 20 20:42:50 2014  reading all ideals from disk
Sat Dec 20 20:42:50 2014  memory use: 182.3 MB
Sat Dec 20 20:42:50 2014  keeping 5994733 ideals with weight <= 200, target excess is 45806
Sat Dec 20 20:42:51 2014  commencing in-memory singleton removal
Sat Dec 20 20:42:51 2014  begin with 5469618 relations and 5994733 unique ideals
Sat Dec 20 20:42:55 2014  reduce to 2125875 relations and 2033867 ideals in 19 passes
Sat Dec 20 20:42:55 2014  max relations containing the same ideal: 106
Sat Dec 20 20:42:56 2014  removing 225611 relations and 206174 ideals in 19437 cliques
Sat Dec 20 20:42:56 2014  commencing in-memory singleton removal
Sat Dec 20 20:42:56 2014  begin with 1900264 relations and 2033867 unique ideals
Sat Dec 20 20:42:58 2014  reduce to 1878249 relations and 1805374 ideals in 10 passes
Sat Dec 20 20:42:58 2014  max relations containing the same ideal: 98
Sat Dec 20 20:42:59 2014  removing 163916 relations and 144479 ideals in 19437 cliques
Sat Dec 20 20:42:59 2014  commencing in-memory singleton removal
Sat Dec 20 20:42:59 2014  begin with 1714333 relations and 1805374 unique ideals
Sat Dec 20 20:43:00 2014  reduce to 1701169 relations and 1647581 ideals in 9 passes
Sat Dec 20 20:43:00 2014  max relations containing the same ideal: 89
Sat Dec 20 20:43:01 2014  relations with 0 large ideals: 589
Sat Dec 20 20:43:01 2014  relations with 1 large ideals: 2375
Sat Dec 20 20:43:01 2014  relations with 2 large ideals: 19293
Sat Dec 20 20:43:01 2014  relations with 3 large ideals: 93763
Sat Dec 20 20:43:01 2014  relations with 4 large ideals: 266722
Sat Dec 20 20:43:01 2014  relations with 5 large ideals: 468305
Sat Dec 20 20:43:01 2014  relations with 6 large ideals: 455655
Sat Dec 20 20:43:01 2014  relations with 7+ large ideals: 394467
Sat Dec 20 20:43:01 2014  commencing 2-way merge
Sat Dec 20 20:43:02 2014  reduce to 965290 relation sets and 911702 unique ideals
Sat Dec 20 20:43:02 2014  commencing full merge
Sat Dec 20 20:43:12 2014  memory use: 93.8 MB
Sat Dec 20 20:43:12 2014  found 465770 cycles, need 459902
Sat Dec 20 20:43:12 2014  weight of 459902 cycles is about 32272072 (70.17/cycle)
Sat Dec 20 20:43:12 2014  distribution of cycle lengths:
Sat Dec 20 20:43:12 2014  1 relations: 53385
Sat Dec 20 20:43:12 2014  2 relations: 52718
Sat Dec 20 20:43:12 2014  3 relations: 51465
Sat Dec 20 20:43:12 2014  4 relations: 45812
Sat Dec 20 20:43:12 2014  5 relations: 41468
Sat Dec 20 20:43:12 2014  6 relations: 34643
Sat Dec 20 20:43:12 2014  7 relations: 30557
Sat Dec 20 20:43:12 2014  8 relations: 25805
Sat Dec 20 20:43:12 2014  9 relations: 21838
Sat Dec 20 20:43:12 2014  10+ relations: 102211
Sat Dec 20 20:43:12 2014  heaviest cycle: 25 relations
Sat Dec 20 20:43:12 2014  commencing cycle optimization
Sat Dec 20 20:43:13 2014  start with 2908484 relations
Sat Dec 20 20:43:17 2014  pruned 60063 relations
Sat Dec 20 20:43:17 2014  memory use: 97.2 MB
Sat Dec 20 20:43:17 2014  distribution of cycle lengths:
Sat Dec 20 20:43:17 2014  1 relations: 53385
Sat Dec 20 20:43:17 2014  2 relations: 53802
Sat Dec 20 20:43:17 2014  3 relations: 53049
Sat Dec 20 20:43:17 2014  4 relations: 46706
Sat Dec 20 20:43:17 2014  5 relations: 42228
Sat Dec 20 20:43:17 2014  6 relations: 35031
Sat Dec 20 20:43:17 2014  7 relations: 30603
Sat Dec 20 20:43:17 2014  8 relations: 25774
Sat Dec 20 20:43:17 2014  9 relations: 21763
Sat Dec 20 20:43:17 2014  10+ relations: 97561
Sat Dec 20 20:43:17 2014  heaviest cycle: 25 relations
Sat Dec 20 20:43:18 2014  RelProcTime: 111
Sat Dec 20 20:43:18 2014  
Sat Dec 20 20:43:18 2014  commencing linear algebra
Sat Dec 20 20:43:18 2014  read 459902 cycles
Sat Dec 20 20:43:19 2014  cycles contain 1635577 unique relations
Sat Dec 20 20:43:30 2014  read 1635577 relations
Sat Dec 20 20:43:32 2014  using 20 quadratic characters above 67107758
Sat Dec 20 20:43:40 2014  building initial matrix
Sat Dec 20 20:43:56 2014  memory use: 203.2 MB
Sat Dec 20 20:43:56 2014  read 459902 cycles
Sat Dec 20 20:43:56 2014  matrix is 459722 x 459902 (138.1 MB) with weight 43752361 (95.13/col)
Sat Dec 20 20:43:56 2014  sparse part has weight 31137922 (67.71/col)
Sat Dec 20 20:43:59 2014  filtering completed in 2 passes
Sat Dec 20 20:43:59 2014  matrix is 458410 x 458589 (138.0 MB) with weight 43694768 (95.28/col)
Sat Dec 20 20:43:59 2014  sparse part has weight 31119180 (67.86/col)
Sat Dec 20 20:44:00 2014  matrix starts at (0, 0)
Sat Dec 20 20:44:00 2014  matrix is 458410 x 458589 (138.0 MB) with weight 43694768 (95.28/col)
Sat Dec 20 20:44:00 2014  sparse part has weight 31119180 (67.86/col)
Sat Dec 20 20:44:00 2014  saving the first 48 matrix rows for later
Sat Dec 20 20:44:00 2014  matrix includes 64 packed rows
Sat Dec 20 20:44:00 2014  matrix is 458362 x 458589 (133.4 MB) with weight 34769561 (75.82/col)
Sat Dec 20 20:44:00 2014  sparse part has weight 30373728 (66.23/col)
Sat Dec 20 20:44:00 2014  using block size 65536 for processor cache size 8192 kB
Sat Dec 20 20:44:02 2014  commencing Lanczos iteration (8 threads)
Sat Dec 20 20:44:02 2014  memory use: 126.5 MB
Sat Dec 20 20:44:24 2014  linear algebra at 2.6%, ETA 0h13m
Sat Dec 20 20:56:58 2014  lanczos halted after 7250 iterations (dim = 458362)
Sat Dec 20 20:56:58 2014  recovered 35 nontrivial dependencies
Sat Dec 20 20:56:58 2014  BLanczosTime: 820
Sat Dec 20 20:56:58 2014  
Sat Dec 20 20:56:58 2014  commencing square root phase
Sat Dec 20 20:56:58 2014  reading relations for dependency 1
Sat Dec 20 20:56:58 2014  read 228683 cycles
Sat Dec 20 20:56:59 2014  cycles contain 816410 unique relations
Sat Dec 20 20:57:08 2014  read 816410 relations
Sat Dec 20 20:57:11 2014  multiplying 816410 relations
Sat Dec 20 20:57:41 2014  multiply complete, coefficients have about 36.61 million bits
Sat Dec 20 20:57:41 2014  initial square root is modulo 180533
Sat Dec 20 20:58:25 2014  GCD is N, no factor found
Sat Dec 20 20:58:25 2014  reading relations for dependency 2
Sat Dec 20 20:58:25 2014  read 230196 cycles
Sat Dec 20 20:58:26 2014  cycles contain 819684 unique relations
Sat Dec 20 20:58:35 2014  read 819684 relations
Sat Dec 20 20:58:38 2014  multiplying 819684 relations
Sat Dec 20 20:59:09 2014  multiply complete, coefficients have about 36.76 million bits
Sat Dec 20 20:59:09 2014  initial square root is modulo 189439
Sat Dec 20 20:59:57 2014  GCD is 1, no factor found
Sat Dec 20 20:59:57 2014  reading relations for dependency 3
Sat Dec 20 20:59:57 2014  read 229265 cycles
Sat Dec 20 20:59:57 2014  cycles contain 817870 unique relations
Sat Dec 20 21:00:06 2014  read 817870 relations
Sat Dec 20 21:00:09 2014  multiplying 817870 relations
Sat Dec 20 21:00:43 2014  multiply complete, coefficients have about 36.67 million bits
Sat Dec 20 21:00:43 2014  initial square root is modulo 184337
Sat Dec 20 21:01:28 2014  sqrtTime: 270
--
n: 1157505490966043998425566646245647783854593440547977560583030034688644163525335198014566489456529617346366363
skew: 4432815.37
c0: 625318534945992512770691152335
c1: 336923351697468097119290
c2: -84157064098426828
c3: -37126128643
c4: 3876
Y0: -131457356892847185536042434
Y1: 9245662801133
rlim: 3060000
alim: 3060000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:01:39 UTC 2014 年 12 月 20 日 (土) 3 時 1 分 39 秒 (日本時間)

10172+293

c156

name 名前Cyp
date 日付April 21, 2015 13:10:15 UTC 2015 年 4 月 21 日 (火) 22 時 10 分 15 秒 (日本時間)
composite number 合成数
100039288669902112088707534656696985796963294323735481544553114612297443859068909822878954710887989704383395173429625707489525461507756923370011392308836471<156>
prime factors 素因数
227665051484381994455005330487313206004579925119200498201671<60>
439414341453127634348711897552600619548061785375824140384740920862779906068408906225223519838801<96>
factorization results 素因数分解の結果
04/21/15 08:27:35 v1.34.3, 
04/21/15 08:27:35 v1.34.3, ****************************
04/21/15 08:27:35 v1.34.3, Starting factorization of 100039288669902112088707534656696985796963294323735481544553114612297443859068909822878954710887989704383395173429625707489525461507756923370011392308836471
04/21/15 08:27:35 v1.34.3, using pretesting plan: none
04/21/15 08:27:35 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
04/21/15 08:27:35 v1.34.3, ****************************
04/21/15 08:27:35 v1.34.3, nfs: commencing nfs on c156: 100039288669902112088707534656696985796963294323735481544553114612297443859068909822878954710887989704383395173429625707489525461507756923370011392308836471
04/21/15 08:27:35 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
04/21/15 08:27:35 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/21/15 08:32:36 v1.34.3, nfs: commencing lattice sieving with 8 threads
[63 lines snipped]
04/21/15 14:02:10 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/21/15 14:07:19 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/21/15 14:12:33 v1.34.3, nfs: commencing msieve filtering
04/21/15 14:14:10 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/21/15 14:19:29 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/21/15 14:24:42 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/21/15 14:29:56 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/21/15 14:35:11 v1.34.3, nfs: commencing msieve filtering
04/21/15 14:37:24 v1.34.3, nfs: commencing msieve linear algebra
04/21/15 15:03:57 v1.34.3, nfs: commencing msieve sqrt
04/21/15 15:10:08 v1.34.3, prp60 = 227665051484381994455005330487313206004579925119200498201671
04/21/15 15:10:08 v1.34.3, prp96 = 439414341453127634348711897552600619548061785375824140384740920862779906068408906225223519838801
04/21/15 15:10:09 v1.34.3, NFS elapsed time = 24153.0647 seconds.
04/21/15 15:10:09 v1.34.3, 
04/21/15 15:10:09 v1.34.3, 
04/21/15 15:10:09 v1.34.3, Total factoring time = 24153.0657 seconds
--
Tue Apr 21 14:12:33 2015  
Tue Apr 21 14:12:33 2015  commencing relation filtering
Tue Apr 21 14:12:33 2015  estimated available RAM is 15987.3 MB
Tue Apr 21 14:12:33 2015  commencing duplicate removal, pass 1
Tue Apr 21 14:13:02 2015  found 1338753 hash collisions in 10111740 relations
Tue Apr 21 14:13:11 2015  added 370976 free relations
Tue Apr 21 14:13:11 2015  commencing duplicate removal, pass 2
Tue Apr 21 14:13:20 2015  found 885585 duplicates and 9597131 unique relations
Tue Apr 21 14:13:20 2015  memory use: 41.3 MB
Tue Apr 21 14:13:20 2015  reading ideals above 100000
Tue Apr 21 14:13:20 2015  commencing singleton removal, initial pass
Tue Apr 21 14:14:04 2015  memory use: 344.5 MB
Tue Apr 21 14:14:04 2015  reading all ideals from disk
Tue Apr 21 14:14:04 2015  memory use: 349.0 MB
Tue Apr 21 14:14:05 2015  keeping 10922636 ideals with weight <= 200, target excess is 49392
Tue Apr 21 14:14:05 2015  commencing in-memory singleton removal
Tue Apr 21 14:14:06 2015  begin with 9597131 relations and 10922636 unique ideals
Tue Apr 21 14:14:10 2015  reduce to 3496150 relations and 3518520 ideals in 21 passes
Tue Apr 21 14:14:10 2015  max relations containing the same ideal: 104
Tue Apr 21 14:35:11 2015  
Tue Apr 21 14:35:11 2015  commencing relation filtering
Tue Apr 21 14:35:11 2015  estimated available RAM is 15987.3 MB
Tue Apr 21 14:35:11 2015  commencing duplicate removal, pass 1
Tue Apr 21 14:35:46 2015  found 1511471 hash collisions in 11054390 relations
Tue Apr 21 14:35:54 2015  added 1304 free relations
Tue Apr 21 14:35:54 2015  commencing duplicate removal, pass 2
Tue Apr 21 14:36:04 2015  found 974253 duplicates and 10081441 unique relations
Tue Apr 21 14:36:04 2015  memory use: 41.3 MB
Tue Apr 21 14:36:04 2015  reading ideals above 720000
Tue Apr 21 14:36:04 2015  commencing singleton removal, initial pass
Tue Apr 21 14:36:48 2015  memory use: 344.5 MB
Tue Apr 21 14:36:48 2015  reading all ideals from disk
Tue Apr 21 14:36:48 2015  memory use: 295.7 MB
Tue Apr 21 14:36:48 2015  commencing in-memory singleton removal
Tue Apr 21 14:36:49 2015  begin with 10081441 relations and 11045784 unique ideals
Tue Apr 21 14:36:52 2015  reduce to 4177573 relations and 3947125 ideals in 16 passes
Tue Apr 21 14:36:52 2015  max relations containing the same ideal: 68
Tue Apr 21 14:36:53 2015  removing 460624 relations and 412797 ideals in 47827 cliques
Tue Apr 21 14:36:53 2015  commencing in-memory singleton removal
Tue Apr 21 14:36:54 2015  begin with 3716949 relations and 3947125 unique ideals
Tue Apr 21 14:36:55 2015  reduce to 3671405 relations and 3487964 ideals in 9 passes
Tue Apr 21 14:36:55 2015  max relations containing the same ideal: 64
Tue Apr 21 14:36:56 2015  removing 342444 relations and 294617 ideals in 47827 cliques
Tue Apr 21 14:36:56 2015  commencing in-memory singleton removal
Tue Apr 21 14:36:56 2015  begin with 3328961 relations and 3487964 unique ideals
Tue Apr 21 14:36:57 2015  reduce to 3299786 relations and 3163740 ideals in 8 passes
Tue Apr 21 14:36:57 2015  max relations containing the same ideal: 61
Tue Apr 21 14:36:58 2015  relations with 0 large ideals: 2922
Tue Apr 21 14:36:58 2015  relations with 1 large ideals: 2313
Tue Apr 21 14:36:58 2015  relations with 2 large ideals: 32283
Tue Apr 21 14:36:58 2015  relations with 3 large ideals: 184943
Tue Apr 21 14:36:58 2015  relations with 4 large ideals: 549526
Tue Apr 21 14:36:58 2015  relations with 5 large ideals: 923287
Tue Apr 21 14:36:58 2015  relations with 6 large ideals: 925631
Tue Apr 21 14:36:58 2015  relations with 7+ large ideals: 678881
Tue Apr 21 14:36:58 2015  commencing 2-way merge
Tue Apr 21 14:36:59 2015  reduce to 1932294 relation sets and 1796247 unique ideals
Tue Apr 21 14:36:59 2015  commencing full merge
Tue Apr 21 14:37:16 2015  memory use: 206.7 MB
Tue Apr 21 14:37:16 2015  found 962105 cycles, need 944447
Tue Apr 21 14:37:16 2015  weight of 944447 cycles is about 66341131 (70.24/cycle)
Tue Apr 21 14:37:16 2015  distribution of cycle lengths:
Tue Apr 21 14:37:16 2015  1 relations: 124157
Tue Apr 21 14:37:16 2015  2 relations: 110663
Tue Apr 21 14:37:16 2015  3 relations: 106607
Tue Apr 21 14:37:16 2015  4 relations: 95154
Tue Apr 21 14:37:16 2015  5 relations: 85184
Tue Apr 21 14:37:16 2015  6 relations: 72254
Tue Apr 21 14:37:16 2015  7 relations: 63163
Tue Apr 21 14:37:16 2015  8 relations: 54176
Tue Apr 21 14:37:16 2015  9 relations: 45367
Tue Apr 21 14:37:16 2015  10+ relations: 187722
Tue Apr 21 14:37:16 2015  heaviest cycle: 22 relations
Tue Apr 21 14:37:17 2015  commencing cycle optimization
Tue Apr 21 14:37:17 2015  start with 5611423 relations
Tue Apr 21 14:37:23 2015  pruned 125916 relations
Tue Apr 21 14:37:23 2015  memory use: 187.5 MB
Tue Apr 21 14:37:23 2015  distribution of cycle lengths:
Tue Apr 21 14:37:23 2015  1 relations: 124157
Tue Apr 21 14:37:23 2015  2 relations: 113029
Tue Apr 21 14:37:23 2015  3 relations: 110199
Tue Apr 21 14:37:23 2015  4 relations: 97182
Tue Apr 21 14:37:23 2015  5 relations: 86791
Tue Apr 21 14:37:23 2015  6 relations: 73078
Tue Apr 21 14:37:23 2015  7 relations: 63586
Tue Apr 21 14:37:23 2015  8 relations: 53958
Tue Apr 21 14:37:23 2015  9 relations: 45154
Tue Apr 21 14:37:23 2015  10+ relations: 177313
Tue Apr 21 14:37:23 2015  heaviest cycle: 22 relations
Tue Apr 21 14:37:24 2015  RelProcTime: 133
Tue Apr 21 14:37:24 2015  
Tue Apr 21 14:37:24 2015  commencing linear algebra
Tue Apr 21 14:37:24 2015  read 944447 cycles
Tue Apr 21 14:37:25 2015  cycles contain 3158998 unique relations
Tue Apr 21 14:37:39 2015  read 3158998 relations
Tue Apr 21 14:37:42 2015  using 20 quadratic characters above 134216544
Tue Apr 21 14:37:52 2015  building initial matrix
Tue Apr 21 14:38:08 2015  memory use: 380.9 MB
Tue Apr 21 14:38:09 2015  read 944447 cycles
Tue Apr 21 14:38:09 2015  matrix is 944269 x 944447 (283.3 MB) with weight 83434061 (88.34/col)
Tue Apr 21 14:38:09 2015  sparse part has weight 63883786 (67.64/col)
Tue Apr 21 14:38:14 2015  filtering completed in 2 passes
Tue Apr 21 14:38:14 2015  matrix is 941742 x 941919 (283.1 MB) with weight 83345001 (88.48/col)
Tue Apr 21 14:38:14 2015  sparse part has weight 63848669 (67.79/col)
Tue Apr 21 14:38:17 2015  matrix starts at (0, 0)
Tue Apr 21 14:38:17 2015  matrix is 941742 x 941919 (283.1 MB) with weight 83345001 (88.48/col)
Tue Apr 21 14:38:17 2015  sparse part has weight 63848669 (67.79/col)
Tue Apr 21 14:38:17 2015  saving the first 48 matrix rows for later
Tue Apr 21 14:38:17 2015  matrix includes 64 packed rows
Tue Apr 21 14:38:17 2015  matrix is 941694 x 941919 (268.0 MB) with weight 66609409 (70.72/col)
Tue Apr 21 14:38:17 2015  sparse part has weight 60832060 (64.58/col)
Tue Apr 21 14:38:17 2015  using block size 65536 for processor cache size 8192 kB
Tue Apr 21 14:38:19 2015  commencing Lanczos iteration (8 threads)
Tue Apr 21 14:38:19 2015  memory use: 261.3 MB
Tue Apr 21 14:38:24 2015  linear algebra at 0.3%, ETA 0h25m
Tue Apr 21 15:03:56 2015  lanczos halted after 14894 iterations (dim = 941691)
Tue Apr 21 15:03:57 2015  recovered 38 nontrivial dependencies
Tue Apr 21 15:03:57 2015  BLanczosTime: 1593
Tue Apr 21 15:03:57 2015  
Tue Apr 21 15:03:57 2015  commencing square root phase
Tue Apr 21 15:03:57 2015  reading relations for dependency 1
Tue Apr 21 15:03:57 2015  read 470837 cycles
Tue Apr 21 15:03:57 2015  cycles contain 1579232 unique relations
Tue Apr 21 15:04:08 2015  read 1579232 relations
Tue Apr 21 15:04:12 2015  multiplying 1579232 relations
Tue Apr 21 15:04:45 2015  multiply complete, coefficients have about 44.68 million bits
Tue Apr 21 15:04:46 2015  initial square root is modulo 2601661
Tue Apr 21 15:05:31 2015  GCD is N, no factor found
Tue Apr 21 15:05:31 2015  reading relations for dependency 2
Tue Apr 21 15:05:31 2015  read 471467 cycles
Tue Apr 21 15:05:31 2015  cycles contain 1579990 unique relations
Tue Apr 21 15:05:42 2015  read 1579990 relations
Tue Apr 21 15:05:46 2015  multiplying 1579990 relations
Tue Apr 21 15:06:19 2015  multiply complete, coefficients have about 44.71 million bits
Tue Apr 21 15:06:20 2015  initial square root is modulo 2621431
Tue Apr 21 15:07:03 2015  GCD is 1, no factor found
Tue Apr 21 15:07:03 2015  reading relations for dependency 3
Tue Apr 21 15:07:03 2015  read 470495 cycles
Tue Apr 21 15:07:04 2015  cycles contain 1579282 unique relations
Tue Apr 21 15:07:14 2015  read 1579282 relations
Tue Apr 21 15:07:18 2015  multiplying 1579282 relations
Tue Apr 21 15:07:54 2015  multiply complete, coefficients have about 44.69 million bits
Tue Apr 21 15:07:54 2015  initial square root is modulo 2604611
Tue Apr 21 15:08:37 2015  GCD is N, no factor found
Tue Apr 21 15:08:37 2015  reading relations for dependency 4
Tue Apr 21 15:08:37 2015  read 469861 cycles
Tue Apr 21 15:08:37 2015  cycles contain 1576708 unique relations
Tue Apr 21 15:08:48 2015  read 1576708 relations
Tue Apr 21 15:08:52 2015  multiplying 1576708 relations
Tue Apr 21 15:09:25 2015  multiply complete, coefficients have about 44.61 million bits
Tue Apr 21 15:09:25 2015  initial square root is modulo 2541151
Tue Apr 21 15:10:08 2015  sqrtTime: 371
--
n: 100039288669902112088707534656696985796963294323735481544553114612297443859068909822878954710887989704383395173429625707489525461507756923370011392308836471
m: 10000000000000000000000000000000000
deg: 5
c5: 100
c0: 29
skew: 0.78
# Murphy_E = 1.989e-10
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e62950300Serge BatalovDecember 20, 2014 21:21:09 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 9 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:17 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 17 秒 (日本時間)
2350Ignacio SantosFebruary 20, 2015 13:05:28 UTC 2015 年 2 月 20 日 (金) 22 時 5 分 28 秒 (日本時間)

10176+293

c164

name 名前Serge Batalov
date 日付December 20, 2014 21:44:40 UTC 2014 年 12 月 21 日 (日) 6 時 44 分 40 秒 (日本時間)
composite number 合成数
12870409987213692598767167389428373760442546035281367380454618959691721213405478245499799941095060914756160678679034845877728339779774495383090387795362946391849727<164>
prime factors 素因数
35839011160889531015643693348617561<35>
439864582450495511344939622048342237<36>
816427018743109500615971752429773682311550119103520905568276258765296741293782484354480116611<93>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3351362563
Step 1 took 11075ms
Step 2 took 8102ms
********** Factor found in step 2: 35839011160889531015643693348617561
Found probable prime factor of 35 digits: 35839011160889531015643693348617561

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2578620846
Step 1 took 11014ms
Step 2 took 8097ms
********** Factor found in step 2: 439864582450495511344939622048342237
Found probable prime factor of 36 digits: 439864582450495511344939622048342237

ECM

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

10177+293

c159

name 名前Jo Yeong Uk
date 日付October 16, 2015 13:08:55 UTC 2015 年 10 月 16 日 (金) 22 時 8 分 55 秒 (日本時間)
composite number 合成数
720169001014137229088559704668834717252606890135722770629750115721750170121765792950420369401779284722790748392054071621611314835503025062180430267028404157973<159>
prime factors 素因数
9082557816477894910181658231060671606158970667595087835130140389<64>
79291430406045020883849181871452565206668907475513081446650355645162454781337592327665145702257<95>
factorization results 素因数分解の結果
Number: 33343_177
N=720169001014137229088559704668834717252606890135722770629750115721750170121765792950420369401779284722790748392054071621611314835503025062180430267028404157973
  ( 159 digits)
SNFS difficulty: 177 digits.
Divisors found:
 r1=9082557816477894910181658231060671606158970667595087835130140389
 r2=79291430406045020883849181871452565206668907475513081446650355645162454781337592327665145702257
Version: 
Total time: 33.94 hours.
Scaled time: 177.65 units (timescale=5.235).
Factorization parameters were as follows:
n: 720169001014137229088559704668834717252606890135722770629750115721750170121765792950420369401779284722790748392054071621611314835503025062180430267028404157973
m: 100000000000000000000000000000000000
deg: 5
c5: 100
c0: 29
skew: 0.78
# Murphy_E = 1.256e-10
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [4200000, 7800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 17907171
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1409852 x 1410098
Total sieving time: 29.51 hours.
Total relation processing time: 1.63 hours.
Matrix solve time: 2.63 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,53,53,2.5,2.5,100000
total time: 33.94 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49365480k/51380224k available (5395k kernel code, 1086460k absent, 928284k reserved, 7013k data, 1296k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.95 BogoMIPS (lpj=3399977)
Total of 12 processors activated (81599.44 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:21:10 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 10 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:17 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 17 秒 (日本時間)
4511e6600 / 4342KTakahashiMay 9, 2015 13:41:02 UTC 2015 年 5 月 9 日 (土) 22 時 41 分 2 秒 (日本時間)

10178+293

c148

name 名前Jo Yeong Uk
date 日付November 6, 2015 11:12:55 UTC 2015 年 11 月 6 日 (金) 20 時 12 分 55 秒 (日本時間)
composite number 合成数
1556612003899076943796901385281424990083681166922024055696922030655320860144589003777297771075237141705689868456269363799034830391038483457604601131<148>
prime factors 素因数
36323983443114022209823052034480832657553396656677635295715697893621046591<74>
42853559999465466285009989680775404415614471107956182097121072158084849941<74>
factorization results 素因数分解の結果
Number: 33343_178
N=1556612003899076943796901385281424990083681166922024055696922030655320860144589003777297771075237141705689868456269363799034830391038483457604601131
  ( 148 digits)
SNFS difficulty: 178 digits.
Divisors found:
 r1=36323983443114022209823052034480832657553396656677635295715697893621046591
 r2=42853559999465466285009989680775404415614471107956182097121072158084849941
Version: 
Total time: 42.28 hours.
Scaled time: 221.99 units (timescale=5.250).
Factorization parameters were as follows:
n: 1556612003899076943796901385281424990083681166922024055696922030655320860144589003777297771075237141705689868456269363799034830391038483457604601131
m: 200000000000000000000000000000000000
deg: 5
c5: 125
c0: 116
skew: 0.99
# Murphy_E = 1.06e-10
type: snfs
lss: 1
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5

Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [4500000, 9000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18584586
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1461537 x 1461785
Total sieving time: 37.45 hours.
Total relation processing time: 2.13 hours.
Matrix solve time: 2.61 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,178,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,53,53,2.5,2.5,100000
total time: 42.28 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49365480k/51380224k available (5395k kernel code, 1086460k absent, 928284k reserved, 7013k data, 1296k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.95 BogoMIPS (lpj=3399977)
Total of 12 processors activated (81599.44 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:21:10 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 10 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:18 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 18 秒 (日本時間)
4511e6600 / 4342KTakahashiApril 29, 2015 22:01:31 UTC 2015 年 4 月 30 日 (木) 7 時 1 分 31 秒 (日本時間)

10179+293

c138

name 名前Anonymous
date 日付December 8, 2015 21:06:31 UTC 2015 年 12 月 9 日 (水) 6 時 6 分 31 秒 (日本時間)
composite number 合成数
457152309281002775745834778347667474996048713700572274811882173589287666163051846220695436028685130686825674737555490373111091502419787811<138>
prime factors 素因数
644561817377530997986049624407919779566496649511729846003836846879<66>
709245097919352498833526376031159021365158868568584161290697332408682109<72>
factorization results 素因数分解の結果
Number: 33343_179
N = 457152309281002775745834778347667474996048713700572274811882173589287666163051846220695436028685130686825674737555490373111091502419787811 (138 digits)
SNFS difficulty: 180 digits.
Divisors found:
r1=644561817377530997986049624407919779566496649511729846003836846879 (pp66)
r2=709245097919352498833526376031159021365158868568584161290697332408682109 (pp72)
Version: Msieve v. 1.50 (SVN Official Release)
Total time: 58.83 hours.
Factorization parameters were as follows:
n: 457152309281002775745834778347667474996048713700572274811882173589287666163051846220695436028685130686825674737555490373111091502419787811
m: 500000000000000000000000000000000000
deg: 5
c5: 16
c0: 145
skew: 1.55
# Murphy_E = 1.022e-10
type: snfs
lss: 1
rlim: 6900000
alim: 6900000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6900000/6900000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 18460772
Relations: 2495176 relations
Pruned matrix : 1452083 x 1452313
Polynomial selection time: 0.00 hours.
Total sieving time: 52.07 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 6.24 hours.
time per square root: 0.34 hours.
Prototype def-par.txt line would be: snfs,180,5,0,0,0,0,0,0,0,0,6900000,6900000,28,28,53,53,2.5,2.5,100000
total time: 58.83 hours.
AMD64 Family 22 Model 48 Stepping 1, AuthenticAMD
Windows-10-10.0.10240-SP0
processors: 4, speed: 2.00GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:21:11 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 11 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:18 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 18 秒 (日本時間)
4511e6802 / 4342Pierre JammesApril 17, 2015 14:11:57 UTC 2015 年 4 月 17 日 (金) 23 時 11 分 57 秒 (日本時間)

10181+293

c146

name 名前Jo Yeong Uk
date 日付January 17, 2016 05:52:57 UTC 2016 年 1 月 17 日 (日) 14 時 52 分 57 秒 (日本時間)
composite number 合成数
11353338207895201430324465798860659951043551705981681187899479108830538886998094009937580635698450516146301421047304723886228025248372818514019631<146>
prime factors 素因数
825134666544549884751838677469808914139469955955621271051229265023<66>
13759376097286081981544241668308460450355021100668887402697829000211389160578897<80>
factorization results 素因数分解の結果
Number: 33343_181
N=11353338207895201430324465798860659951043551705981681187899479108830538886998094009937580635698450516146301421047304723886228025248372818514019631
  ( 146 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=825134666544549884751838677469808914139469955955621271051229265023
 r2=13759376097286081981544241668308460450355021100668887402697829000211389160578897
Version: 
Total time: 48.92 hours.
Scaled time: 257.08 units (timescale=5.255).
Factorization parameters were as follows:
n: 11353338207895201430324465798860659951043551705981681187899479108830538886998094009937580635698450516146301421047304723886228025248372818514019631
m: 1000000000000000000000000000000000000
deg: 5
c5: 10
c0: 29
skew: 1.24
# Murphy_E = 9.033e-11
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3000000, 5300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18238338
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1222757 x 1223005
Total sieving time: 46.03 hours.
Total relation processing time: 1.08 hours.
Matrix solve time: 1.65 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,6000000,6000000,28,28,53,53,2.5,2.5,100000
total time: 48.92 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:21:11 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 11 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:18 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 18 秒 (日本時間)
4511e6600 / 4342KTakahashiMay 14, 2015 09:00:57 UTC 2015 年 5 月 14 日 (木) 18 時 0 分 57 秒 (日本時間)

10182+293

c172

name 名前KTakahashi
date 日付May 20, 2015 08:59:58 UTC 2015 年 5 月 20 日 (水) 17 時 59 分 58 秒 (日本時間)
composite number 合成数
5604918248997709307856931181920370886417373246019632120599968651905220249273754109882462904278606361315295195546295504958128702875544181365666083560509960117208205283952527<172>
prime factors 素因数
528289663558708037608623341092199165039074421<45>
10609555014272663604875269906977229431280008296818729953628284341712786144203544611366123680778449745516270810359146852233519987<128>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM]
Input number is 5604918248997709307856931181920370886417373246019632120599968651905220249273754109882462904278606361315295195546295504958128702875544181365666083560509960117208205283952527 (172 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1006791980
Step 1 took 50732ms
Step 2 took 20717ms
********** Factor found in step 2: 528289663558708037608623341092199165039074421
Found probable prime factor of 45 digits: 528289663558708037608623341092199165039074421
Probable prime cofactor 10609555014272663604875269906977229431280008296818729953628284341712786144203544611366123680778449745516270810359146852233519987 has 128 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:21:12 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 12 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:19 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 19 秒 (日本時間)

10183+293

c127

name 名前Maksym Voznyy
date 日付February 6, 2015 12:14:37 UTC 2015 年 2 月 6 日 (金) 21 時 14 分 37 秒 (日本時間)
composite number 合成数
2896578187956222381676677355026707168653640892009298797243431074983559252531211897234202751362134201741848055688828126100608293<127>
prime factors 素因数
533430676533041177960320831644413038217233435275987999469<57>
5430093009989847691469443628800863162615323828939017467532857013814297<70>
factorization results 素因数分解の結果
Number: example8
N = 2896578187956222381676677355026707168653640892009298797243431074983559252531211897234202751362134201741848055688828126100608293 (127 digits)
Divisors found:
r1=533430676533041177960320831644413038217233435275987999469 (pp57)
r2=5430093009989847691469443628800863162615323828939017467532857013814297 (pp70)
Version: Msieve v. 1.51 (SVN 845)
Total time: 20.65 hours.
Factorization parameters were as follows:
# Murphy_E = 1.244e-10, selected by Maksym Voznyy
n: 2896578187956222381676677355026707168653640892009298797243431074983559252531211897234202751362134201741848055688828126100608293
Y0: -6370816244364434253930182
Y1: 3372902182939
c0: 736672630072450024423047692358801
c1: -328536975789740346567647185
c2: -1799735251315091064498
c3: -1198007758290051
c4: 936461857
c5: 276
skew: 1632968.57
type: gnfs
# selected mechanically
rlim: 7900000
alim: 7900000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7900000/7900000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 16938289
Relations: 1830078 relations
Pruned matrix : 1065653 x 1065880
Polynomial selection time: 0.00 hours.
Total sieving time: 18.29 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 2.02 hours.
time per square root: 0.18 hours.
Prototype def-par.txt line would be: gnfs,126,5,65,2000,1e-05,0.28,250,20,50000,3600,7900000,7900000,28,28,53,53,2.5,2.5,100000
total time: 20.65 hours.
x86 Family 6 Model 15 Stepping 6, GenuineIntel
Windows-XP-5.1.2600-SP3
processors: 4, speed: 2.66GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:01:51 UTC 2014 年 12 月 20 日 (土) 3 時 1 分 51 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:11 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 11 秒 (日本時間)
4511e6915 / 3916Pierre JammesJanuary 9, 2015 07:51:39 UTC 2015 年 1 月 9 日 (金) 16 時 51 分 39 秒 (日本時間)

10184+293

c178

name 名前Jo Yeong Uk
date 日付June 2, 2016 23:14:48 UTC 2016 年 6 月 3 日 (金) 8 時 14 分 48 秒 (日本時間)
composite number 合成数
7895545096590150939135611513915503455485311522679558512700379065120087293146587900708783083320897849806203845604194745198916415390943967685113028675830236305769195846627457389717<178>
prime factors 素因数
94578037575890151163451361402576227699445494537512546048325301302652019398866630569717<86>
83481802952981597801036819056084778856460453687560251150832734275824413899160829439121460001<92>
factorization results 素因数分解の結果
Number: 33343_184
N=7895545096590150939135611513915503455485311522679558512700379065120087293146587900708783083320897849806203845604194745198916415390943967685113028675830236305769195846627457389717
  ( 178 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=94578037575890151163451361402576227699445494537512546048325301302652019398866630569717
 r2=83481802952981597801036819056084778856460453687560251150832734275824413899160829439121460001
Version: 
Total time: 65.99 hours.
Scaled time: 346.64 units (timescale=5.253).
Factorization parameters were as follows:
n: 7895545096590150939135611513915503455485311522679558512700379065120087293146587900708783083320897849806203845604194745198916415390943967685113028675830236305769195846627457389717
m: 10000000000000000000000000000000000000
deg: 5
c5: 1
c0: 290
skew: 3.11
# Murphy_E = 6.408e-11
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [3600000, 6600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20180673
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1536075 x 1536323
Total sieving time: 61.28 hours.
Total relation processing time: 1.60 hours.
Matrix solve time: 2.85 hours.
Time per square root: 0.26 hours.
Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,54,54,2.5,2.5,100000
total time: 65.99 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:21:12 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 12 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:19 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 19 秒 (日本時間)
4511e6600 / 4342KTakahashiMay 28, 2015 08:56:16 UTC 2015 年 5 月 28 日 (木) 17 時 56 分 16 秒 (日本時間)

10185+293

c141

name 名前Jo Yeong Uk
date 日付July 31, 2016 01:08:07 UTC 2016 年 7 月 31 日 (日) 10 時 8 分 7 秒 (日本時間)
composite number 合成数
539577096753406888888403617164563719411171202710260138613329269969721972185149981217662147796103896144366599730430257866952585994726105166867<141>
prime factors 素因数
11033335748332284820935289670364331674042715581028135203547<59>
48904257883656378541899478254099038226693556603647336540390539104796582782215691561<83>
factorization results 素因数分解の結果
Number: 33343_185
N=539577096753406888888403617164563719411171202710260138613329269969721972185149981217662147796103896144366599730430257866952585994726105166867
  ( 141 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=11033335748332284820935289670364331674042715581028135203547
 r2=48904257883656378541899478254099038226693556603647336540390539104796582782215691561
Version: 
Total time: 55.95 hours.
Scaled time: 293.89 units (timescale=5.253).
Factorization parameters were as follows:
n: 539577096753406888888403617164563719411171202710260138613329269969721972185149981217662147796103896144366599730430257866952585994726105166867
m: 10000000000000000000000000000000000000
deg: 5
c5: 1
c0: 29
skew: 1.96
# Murphy_E = 7.736e-11
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [3600000, 6100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 19948416
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1427883 x 1428131
Total sieving time: 51.95 hours.
Total relation processing time: 1.33 hours.
Matrix solve time: 2.43 hours.
Time per square root: 0.24 hours.
Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,54,54,2.5,2.5,100000
total time: 55.95 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:21:13 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 13 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:19 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 19 秒 (日本時間)
4511e6535 / 4342Pierre JammesApril 18, 2015 09:14:21 UTC 2015 年 4 月 18 日 (土) 18 時 14 分 21 秒 (日本時間)

10186+293

c151

name 名前Alfred Reich
date 日付October 3, 2016 07:26:31 UTC 2016 年 10 月 3 日 (月) 16 時 26 分 31 秒 (日本時間)
composite number 合成数
1394794196568863668900742220641868035109177543136581488754773512295799616166124208507775722865274856006396376888562483552575707428236293986227725476451<151>
prime factors 素因数
13112828835004710777383762011092960660070699835638274668631<59>
106368672551071440090504914020792602573221302599899447737713949847897071552371471276764139221<93>
factorization results 素因数分解の結果
Mon Oct 03 08:17:55 2016  
Mon Oct 03 08:17:55 2016  
Mon Oct 03 08:17:55 2016  Msieve v. 1.53 (SVN unknown)
Mon Oct 03 08:17:55 2016  random seeds: 014d68c0 c665e7ef
Mon Oct 03 08:17:55 2016  factoring 1394794196568863668900742220641868035109177543136581488754773512295799616166124208507775722865274856006396376888562483552575707428236293986227725476451 (151 digits)
Mon Oct 03 08:17:55 2016  no P-1/P+1/ECM available, skipping
Mon Oct 03 08:17:55 2016  commencing number field sieve (151-digit input)
Mon Oct 03 08:17:55 2016  R0: -10000000000000000000000000000000000000
Mon Oct 03 08:17:55 2016  R1: 1
Mon Oct 03 08:17:55 2016  A0: 29
Mon Oct 03 08:17:55 2016  A1: 0
Mon Oct 03 08:17:55 2016  A2: 0
Mon Oct 03 08:17:55 2016  A3: 0
Mon Oct 03 08:17:55 2016  A4: 0
Mon Oct 03 08:17:55 2016  A5: 10
Mon Oct 03 08:17:55 2016  skew 1.00, size 5.423e-013, alpha 1.172, combined = 5.585e-011 rroots = 1
Mon Oct 03 08:17:56 2016  
Mon Oct 03 08:17:56 2016  commencing relation filtering
Mon Oct 03 08:17:56 2016  estimated available RAM is 24567.3 MB
Mon Oct 03 08:17:56 2016  commencing duplicate removal, pass 1
Mon Oct 03 08:25:23 2016  skipped 1 relations with b > 2^32
Mon Oct 03 08:25:23 2016  skipped 8 relations with composite factors
Mon Oct 03 08:25:23 2016  found 3547531 hash collisions in 30007808 relations
Mon Oct 03 08:26:13 2016  added 730204 free relations
Mon Oct 03 08:26:13 2016  commencing duplicate removal, pass 2
Mon Oct 03 08:26:35 2016  found 2532402 duplicates and 28205610 unique relations
Mon Oct 03 08:26:35 2016  memory use: 106.6 MB
Mon Oct 03 08:26:36 2016  reading ideals above 720000
Mon Oct 03 08:26:36 2016  commencing singleton removal, initial pass
Mon Oct 03 08:33:41 2016  memory use: 689.0 MB
Mon Oct 03 08:33:41 2016  reading all ideals from disk
Mon Oct 03 08:33:44 2016  memory use: 895.8 MB
Mon Oct 03 08:33:58 2016  keeping 24654156 ideals with weight <= 200, target excess is 168554
Mon Oct 03 08:34:09 2016  commencing in-memory singleton removal
Mon Oct 03 08:34:22 2016  begin with 28205610 relations and 24654156 unique ideals
Mon Oct 03 08:35:52 2016  reduce to 18773205 relations and 14024575 ideals in 12 passes
Mon Oct 03 08:35:52 2016  max relations containing the same ideal: 161
Mon Oct 03 08:36:24 2016  removing 3509854 relations and 2509854 ideals in 1000000 cliques
Mon Oct 03 08:36:26 2016  commencing in-memory singleton removal
Mon Oct 03 08:36:31 2016  begin with 15263351 relations and 14024575 unique ideals
Mon Oct 03 08:36:49 2016  reduce to 14748988 relations and 10965267 ideals in 8 passes
Mon Oct 03 08:36:49 2016  max relations containing the same ideal: 139
Mon Oct 03 08:36:57 2016  removing 2856881 relations and 1856881 ideals in 1000000 cliques
Mon Oct 03 08:36:58 2016  commencing in-memory singleton removal
Mon Oct 03 08:36:59 2016  begin with 11892107 relations and 10965267 unique ideals
Mon Oct 03 08:37:06 2016  reduce to 11535031 relations and 8727977 ideals in 8 passes
Mon Oct 03 08:37:06 2016  max relations containing the same ideal: 113
Mon Oct 03 08:37:11 2016  removing 2687542 relations and 1687542 ideals in 1000000 cliques
Mon Oct 03 08:37:12 2016  commencing in-memory singleton removal
Mon Oct 03 08:37:12 2016  begin with 8847489 relations and 8727977 unique ideals
Mon Oct 03 08:37:16 2016  reduce to 8499222 relations and 6665583 ideals in 7 passes
Mon Oct 03 08:37:16 2016  max relations containing the same ideal: 92
Mon Oct 03 08:37:19 2016  removing 2598490 relations and 1598490 ideals in 1000000 cliques
Mon Oct 03 08:37:20 2016  commencing in-memory singleton removal
Mon Oct 03 08:37:20 2016  begin with 5900732 relations and 6665583 unique ideals
Mon Oct 03 08:37:23 2016  reduce to 5499420 relations and 4625809 ideals in 8 passes
Mon Oct 03 08:37:23 2016  max relations containing the same ideal: 68
Mon Oct 03 08:37:25 2016  removing 1819953 relations and 1141865 ideals in 678088 cliques
Mon Oct 03 08:37:25 2016  commencing in-memory singleton removal
Mon Oct 03 08:37:26 2016  begin with 3679467 relations and 4625809 unique ideals
Mon Oct 03 08:37:27 2016  reduce to 3315878 relations and 3080642 ideals in 10 passes
Mon Oct 03 08:37:27 2016  max relations containing the same ideal: 50
Mon Oct 03 08:37:29 2016  removing 205258 relations and 165545 ideals in 39713 cliques
Mon Oct 03 08:37:29 2016  commencing in-memory singleton removal
Mon Oct 03 08:37:29 2016  begin with 3110620 relations and 3080642 unique ideals
Mon Oct 03 08:37:30 2016  reduce to 3098560 relations and 2902888 ideals in 6 passes
Mon Oct 03 08:37:30 2016  max relations containing the same ideal: 50
Mon Oct 03 08:37:31 2016  relations with 0 large ideals: 3620
Mon Oct 03 08:37:31 2016  relations with 1 large ideals: 6530
Mon Oct 03 08:37:31 2016  relations with 2 large ideals: 57903
Mon Oct 03 08:37:31 2016  relations with 3 large ideals: 251802
Mon Oct 03 08:37:31 2016  relations with 4 large ideals: 606279
Mon Oct 03 08:37:31 2016  relations with 5 large ideals: 858317
Mon Oct 03 08:37:31 2016  relations with 6 large ideals: 766689
Mon Oct 03 08:37:31 2016  relations with 7+ large ideals: 547420
Mon Oct 03 08:37:31 2016  commencing 2-way merge
Mon Oct 03 08:37:33 2016  reduce to 1981195 relation sets and 1785523 unique ideals
Mon Oct 03 08:37:33 2016  commencing full merge
Mon Oct 03 08:37:53 2016  memory use: 216.6 MB
Mon Oct 03 08:37:53 2016  found 1030403 cycles, need 1003722
Mon Oct 03 08:37:54 2016  weight of 1003722 cycles is about 70606419 (70.34/cycle)
Mon Oct 03 08:37:54 2016  distribution of cycle lengths:
Mon Oct 03 08:37:54 2016  1 relations: 98277
Mon Oct 03 08:37:54 2016  2 relations: 104932
Mon Oct 03 08:37:54 2016  3 relations: 116912
Mon Oct 03 08:37:54 2016  4 relations: 118318
Mon Oct 03 08:37:54 2016  5 relations: 113214
Mon Oct 03 08:37:54 2016  6 relations: 100877
Mon Oct 03 08:37:54 2016  7 relations: 85111
Mon Oct 03 08:37:54 2016  8 relations: 68861
Mon Oct 03 08:37:54 2016  9 relations: 55159
Mon Oct 03 08:37:54 2016  10+ relations: 142061
Mon Oct 03 08:37:54 2016  heaviest cycle: 19 relations
Mon Oct 03 08:37:54 2016  commencing cycle optimization
Mon Oct 03 08:37:55 2016  start with 5608790 relations
Mon Oct 03 08:38:02 2016  pruned 174310 relations
Mon Oct 03 08:38:02 2016  memory use: 182.6 MB
Mon Oct 03 08:38:02 2016  distribution of cycle lengths:
Mon Oct 03 08:38:02 2016  1 relations: 98277
Mon Oct 03 08:38:02 2016  2 relations: 107507
Mon Oct 03 08:38:02 2016  3 relations: 121775
Mon Oct 03 08:38:02 2016  4 relations: 122748
Mon Oct 03 08:38:02 2016  5 relations: 117813
Mon Oct 03 08:38:02 2016  6 relations: 103449
Mon Oct 03 08:38:02 2016  7 relations: 86702
Mon Oct 03 08:38:02 2016  8 relations: 68778
Mon Oct 03 08:38:02 2016  9 relations: 54078
Mon Oct 03 08:38:02 2016  10+ relations: 122595
Mon Oct 03 08:38:02 2016  heaviest cycle: 18 relations
Mon Oct 03 08:38:03 2016  RelProcTime: 1207
Mon Oct 03 08:38:03 2016  
Mon Oct 03 08:38:03 2016  commencing linear algebra
Mon Oct 03 08:38:03 2016  read 1003722 cycles
Mon Oct 03 08:38:04 2016  cycles contain 2984935 unique relations
Mon Oct 03 08:38:37 2016  read 2984935 relations
Mon Oct 03 08:38:40 2016  using 20 quadratic characters above 268434950
Mon Oct 03 08:38:53 2016  building initial matrix
Mon Oct 03 08:39:20 2016  memory use: 382.2 MB
Mon Oct 03 08:39:20 2016  read 1003722 cycles
Mon Oct 03 08:39:21 2016  matrix is 1003541 x 1003722 (300.0 MB) with weight 89644120 (89.31/col)
Mon Oct 03 08:39:21 2016  sparse part has weight 67592446 (67.34/col)
Mon Oct 03 08:39:29 2016  filtering completed in 2 passes
Mon Oct 03 08:39:29 2016  matrix is 1002919 x 1003099 (299.9 MB) with weight 89620288 (89.34/col)
Mon Oct 03 08:39:29 2016  sparse part has weight 67581909 (67.37/col)
Mon Oct 03 08:39:31 2016  matrix starts at (0, 0)
Mon Oct 03 08:39:31 2016  matrix is 1002919 x 1003099 (299.9 MB) with weight 89620288 (89.34/col)
Mon Oct 03 08:39:32 2016  sparse part has weight 67581909 (67.37/col)
Mon Oct 03 08:39:32 2016  saving the first 48 matrix rows for later
Mon Oct 03 08:39:32 2016  matrix includes 64 packed rows
Mon Oct 03 08:39:32 2016  matrix is 1002871 x 1003099 (284.9 MB) with weight 70765648 (70.55/col)
Mon Oct 03 08:39:32 2016  sparse part has weight 64646973 (64.45/col)
Mon Oct 03 08:39:32 2016  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Mon Oct 03 08:39:36 2016  commencing Lanczos iteration (12 threads)
Mon Oct 03 08:39:36 2016  memory use: 227.8 MB
Mon Oct 03 08:39:39 2016  linear algebra at 0.2%, ETA 0h32m
Mon Oct 03 08:39:39 2016  checkpointing every 2440000 dimensions
Mon Oct 03 09:06:35 2016  lanczos halted after 15861 iterations (dim = 1002868)
Mon Oct 03 09:06:36 2016  recovered 36 nontrivial dependencies
Mon Oct 03 09:06:36 2016  BLanczosTime: 1713
Mon Oct 03 09:06:36 2016  
Mon Oct 03 09:06:36 2016  commencing square root phase
Mon Oct 03 09:06:36 2016  reading relations for dependency 1
Mon Oct 03 09:06:37 2016  read 501590 cycles
Mon Oct 03 09:06:37 2016  cycles contain 1492300 unique relations
Mon Oct 03 09:06:56 2016  read 1492300 relations
Mon Oct 03 09:07:01 2016  multiplying 1492300 relations
Mon Oct 03 09:07:58 2016  multiply complete, coefficients have about 39.62 million bits
Mon Oct 03 09:07:58 2016  initial square root is modulo 488311
Mon Oct 03 09:09:17 2016  sqrtTime: 161
Mon Oct 03 09:09:17 2016  prp59 factor: 13112828835004710777383762011092960660070699835638274668631
Mon Oct 03 09:09:17 2016  prp93 factor: 106368672551071440090504914020792602573221302599899447737713949847897071552371471276764139221
Mon Oct 03 09:09:17 2016  elapsed time 00:51:22

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:21:13 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 13 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:20 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 20 秒 (日本時間)
4511e6573 / 4342498CypJanuary 31, 2015 07:08:42 UTC 2015 年 1 月 31 日 (土) 16 時 8 分 42 秒 (日本時間)
75Carlos PinhoSeptember 10, 2016 08:14:40 UTC 2016 年 9 月 10 日 (土) 17 時 14 分 40 秒 (日本時間)

10188+293

c178

name 名前Serge Batalov
date 日付December 21, 2014 01:54:47 UTC 2014 年 12 月 21 日 (日) 10 時 54 分 47 秒 (日本時間)
composite number 合成数
6042113027879890912880603675879733600909178837270317114542321926596662531234849063601893676504553947023963448473121933208353470026921533057926099702118275023648756375237301504351<178>
prime factors 素因数
2445306344075639571030709222534880010433<40>
2470902282864642551365303280855383595881391163023623938256468742559409369323455094026239795169523045779446344280327807731921428473982358047<139>
factorization results 素因数分解の結果
Input number is 6042113027879890912880603675879733600909178837270317114542321926596662531234849063601893676504553947023963448473121933208353470026921533057926099702118275023648756375237301504351 (178 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3510012320
Step 1 took 13622ms
Step 2 took 9158ms
********** Factor found in step 2: 2445306344075639571030709222534880010433
Found probable prime factor of 40 digits: 2445306344075639571030709222534880010433
Probable prime cofactor 2470902282864642551365303280855383595881391163023623938256468742559409369323455094026239795169523045779446344280327807731921428473982358047 has 139 digits

ECM

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

10189+293

c162

name 名前Serge Batalov
date 日付December 21, 2014 01:54:50 UTC 2014 年 12 月 21 日 (日) 10 時 54 分 50 秒 (日本時間)
composite number 合成数
234316460229987800493620313326269175792038369608782462812775684515503418721017460415132575816599016613624297576264186416530367144863953989389654187605422897497623<162>
prime factors 素因数
5275327446555660298452894676891<31>
44417424814639042022531727637867361076554086143861877221920402130753650076531893641904305536696418279323980402951940194521246726453<131>
factorization results 素因数分解の結果
Input number is 234316460229987800493620313326269175792038369608782462812775684515503418721017460415132575816599016613624297576264186416530367144863953989389654187605422897497623 (162 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2346054095
Step 1 took 12322ms
Step 2 took 9536ms
********** Factor found in step 2: 5275327446555660298452894676891
Found probable prime factor of 31 digits: 5275327446555660298452894676891
Probable prime cofactor 44417424814639042022531727637867361076554086143861877221920402130753650076531893641904305536696418279323980402951940194521246726453 has 131 digits

ECM

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

10191+293

c145

name 名前Serge Batalov
date 日付December 21, 2014 01:54:54 UTC 2014 年 12 月 21 日 (日) 10 時 54 分 54 秒 (日本時間)
composite number 合成数
3290677085155075311775819099471234152929078681679482120302088501387374522229770455515149604364974569199585380938596379364475623192021725966276743<145>
prime factors 素因数
47784493938374397650383355952073364257<38>
composite cofactor 合成数の残り
68864956263823149876064951814391006067462792135513337928431495051820719650580538222076255162663696889912999<107>
factorization results 素因数分解の結果
Input number is 3290677085155075311775819099471234152929078681679482120302088501387374522229770455515149604364974569199585380938596379364475623192021725966276743 (145 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3916646133
Step 1 took 9221ms
Step 2 took 7163ms
********** Factor found in step 2: 47784493938374397650383355952073364257
Found probable prime factor of 38 digits: 47784493938374397650383355952073364257
Composite cofactor 68864956263823149876064951814391006067462792135513337928431495051820719650580538222076255162663696889912999 has 107 digits

c107

name 名前Cyp
date 日付December 23, 2014 08:04:48 UTC 2014 年 12 月 23 日 (火) 17 時 4 分 48 秒 (日本時間)
composite number 合成数
68864956263823149876064951814391006067462792135513337928431495051820719650580538222076255162663696889912999<107>
prime factors 素因数
4708842878376916804046072620782187073437<40>
14624602698053942450247729211288012262766537328448252779751397764627<68>
factorization results 素因数分解の結果
12/23/14 06:57:21 v1.34.3, 
12/23/14 06:57:21 v1.34.3, ****************************
12/23/14 06:57:21 v1.34.3, Starting factorization of 68864956263823149876064951814391006067462792135513337928431495051820719650580538222076255162663696889912999
12/23/14 06:57:21 v1.34.3, using pretesting plan: none
12/23/14 06:57:21 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/23/14 06:57:21 v1.34.3, ****************************
12/23/14 06:57:21 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C107
12/23/14 06:57:21 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C107
12/23/14 06:57:21 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C107
12/23/14 06:57:21 v1.34.3, final ECM pretested depth: 0.00
12/23/14 06:57:21 v1.34.3, scheduler: switching to sieve method
12/23/14 06:57:21 v1.34.3, nfs: commencing nfs on c107: 68864956263823149876064951814391006067462792135513337928431495051820719650580538222076255162663696889912999
12/23/14 06:57:21 v1.34.3, nfs: commencing poly selection with 8 threads
12/23/14 06:57:21 v1.34.3, nfs: setting deadline of 317 seconds
12/23/14 07:05:10 v1.34.3, nfs: completed 46 ranges of size 250 in 469.2442 seconds
12/23/14 07:05:10 v1.34.3, nfs: best poly = # norm 1.492180e-14 alpha -6.149191 e 4.741e-09 rroots 2
12/23/14 07:05:10 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 07:09:14 v1.34.3, nfs: commencing lattice sieving with 8 threads
[17 lines snipped]
12/23/14 08:20:48 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 08:25:02 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 08:28:28 v1.34.3, nfs: commencing msieve filtering
12/23/14 08:30:11 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 08:34:33 v1.34.3, nfs: commencing msieve filtering
12/23/14 08:36:10 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 08:40:33 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 08:44:29 v1.34.3, nfs: commencing msieve filtering
12/23/14 08:45:58 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 08:49:40 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 08:53:17 v1.34.3, nfs: commencing msieve filtering
12/23/14 08:55:19 v1.34.3, nfs: commencing msieve linear algebra
12/23/14 09:03:42 v1.34.3, nfs: commencing msieve sqrt
12/23/14 09:04:46 v1.34.3, prp40 = 4708842878376916804046072620782187073437
12/23/14 09:04:46 v1.34.3, prp68 = 14624602698053942450247729211288012262766537328448252779751397764627
12/23/14 09:04:47 v1.34.3, NFS elapsed time = 7645.8689 seconds.
12/23/14 09:04:47 v1.34.3, 
12/23/14 09:04:47 v1.34.3, 
12/23/14 09:04:47 v1.34.3, Total factoring time = 7645.8913 seconds
--
Tue Dec 23 08:28:28 2014  
Tue Dec 23 08:28:28 2014  commencing relation filtering
Tue Dec 23 08:28:28 2014  estimated available RAM is 15987.3 MB
Tue Dec 23 08:28:28 2014  commencing duplicate removal, pass 1
Tue Dec 23 08:28:59 2014  found 481631 hash collisions in 4649165 relations
Tue Dec 23 08:29:06 2014  added 158713 free relations
Tue Dec 23 08:29:06 2014  commencing duplicate removal, pass 2
Tue Dec 23 08:29:14 2014  found 248054 duplicates and 4559824 unique relations
Tue Dec 23 08:29:14 2014  memory use: 20.6 MB
Tue Dec 23 08:29:14 2014  reading ideals above 100000
Tue Dec 23 08:29:14 2014  commencing singleton removal, initial pass
Tue Dec 23 08:30:00 2014  memory use: 172.2 MB
Tue Dec 23 08:30:00 2014  reading all ideals from disk
Tue Dec 23 08:30:00 2014  memory use: 147.7 MB
Tue Dec 23 08:30:01 2014  keeping 5557640 ideals with weight <= 200, target excess is 21425
Tue Dec 23 08:30:02 2014  commencing in-memory singleton removal
Tue Dec 23 08:30:02 2014  begin with 4559824 relations and 5557640 unique ideals
Tue Dec 23 08:30:11 2014  reduce to 797893 relations and 938898 ideals in 54 passes
Tue Dec 23 08:30:11 2014  max relations containing the same ideal: 63
Tue Dec 23 08:34:33 2014  
Tue Dec 23 08:34:33 2014  commencing relation filtering
Tue Dec 23 08:34:33 2014  estimated available RAM is 15987.3 MB
Tue Dec 23 08:34:33 2014  commencing duplicate removal, pass 1
Tue Dec 23 08:35:07 2014  found 543239 hash collisions in 5040700 relations
Tue Dec 23 08:35:12 2014  added 689 free relations
Tue Dec 23 08:35:12 2014  commencing duplicate removal, pass 2
Tue Dec 23 08:35:17 2014  found 271050 duplicates and 4770339 unique relations
Tue Dec 23 08:35:17 2014  memory use: 20.6 MB
Tue Dec 23 08:35:17 2014  reading ideals above 100000
Tue Dec 23 08:35:17 2014  commencing singleton removal, initial pass
Tue Dec 23 08:36:01 2014  memory use: 172.2 MB
Tue Dec 23 08:36:01 2014  reading all ideals from disk
Tue Dec 23 08:36:01 2014  memory use: 154.6 MB
Tue Dec 23 08:36:02 2014  keeping 5656503 ideals with weight <= 200, target excess is 22337
Tue Dec 23 08:36:03 2014  commencing in-memory singleton removal
Tue Dec 23 08:36:03 2014  begin with 4770339 relations and 5656503 unique ideals
Tue Dec 23 08:36:10 2014  reduce to 1174172 relations and 1270516 ideals in 28 passes
Tue Dec 23 08:36:10 2014  max relations containing the same ideal: 78
Tue Dec 23 08:44:29 2014  
Tue Dec 23 08:44:29 2014  commencing relation filtering
Tue Dec 23 08:44:29 2014  estimated available RAM is 15987.3 MB
Tue Dec 23 08:44:29 2014  commencing duplicate removal, pass 1
Tue Dec 23 08:44:57 2014  found 631248 hash collisions in 5484476 relations
Tue Dec 23 08:45:03 2014  added 1162 free relations
Tue Dec 23 08:45:03 2014  commencing duplicate removal, pass 2
Tue Dec 23 08:45:09 2014  found 316941 duplicates and 5168697 unique relations
Tue Dec 23 08:45:09 2014  memory use: 20.6 MB
Tue Dec 23 08:45:09 2014  reading ideals above 100000
Tue Dec 23 08:45:10 2014  commencing singleton removal, initial pass
Tue Dec 23 08:45:52 2014  memory use: 172.2 MB
Tue Dec 23 08:45:52 2014  reading all ideals from disk
Tue Dec 23 08:45:52 2014  memory use: 167.6 MB
Tue Dec 23 08:45:53 2014  keeping 5829381 ideals with weight <= 200, target excess is 24246
Tue Dec 23 08:45:53 2014  commencing in-memory singleton removal
Tue Dec 23 08:45:54 2014  begin with 5168697 relations and 5829381 unique ideals
Tue Dec 23 08:45:58 2014  reduce to 1759505 relations and 1737858 ideals in 25 passes
Tue Dec 23 08:45:58 2014  max relations containing the same ideal: 101
Tue Dec 23 08:53:17 2014  
Tue Dec 23 08:53:17 2014  commencing relation filtering
Tue Dec 23 08:53:17 2014  estimated available RAM is 15987.3 MB
Tue Dec 23 08:53:17 2014  commencing duplicate removal, pass 1
Tue Dec 23 08:53:52 2014  found 724628 hash collisions in 5931675 relations
Tue Dec 23 08:53:58 2014  added 913 free relations
Tue Dec 23 08:53:58 2014  commencing duplicate removal, pass 2
Tue Dec 23 08:54:06 2014  found 365933 duplicates and 5566655 unique relations
Tue Dec 23 08:54:06 2014  memory use: 20.6 MB
Tue Dec 23 08:54:06 2014  reading ideals above 100000
Tue Dec 23 08:54:06 2014  commencing singleton removal, initial pass
Tue Dec 23 08:54:49 2014  memory use: 172.2 MB
Tue Dec 23 08:54:49 2014  reading all ideals from disk
Tue Dec 23 08:54:49 2014  memory use: 180.6 MB
Tue Dec 23 08:54:50 2014  keeping 5985821 ideals with weight <= 200, target excess is 26260
Tue Dec 23 08:54:50 2014  commencing in-memory singleton removal
Tue Dec 23 08:54:51 2014  begin with 5566655 relations and 5985821 unique ideals
Tue Dec 23 08:54:56 2014  reduce to 2314391 relations and 2142186 ideals in 19 passes
Tue Dec 23 08:54:56 2014  max relations containing the same ideal: 112
Tue Dec 23 08:54:57 2014  removing 478084 relations and 407212 ideals in 70872 cliques
Tue Dec 23 08:54:57 2014  commencing in-memory singleton removal
Tue Dec 23 08:54:57 2014  begin with 1836307 relations and 2142186 unique ideals
Tue Dec 23 08:54:59 2014  reduce to 1751228 relations and 1646352 ideals in 11 passes
Tue Dec 23 08:54:59 2014  max relations containing the same ideal: 96
Tue Dec 23 08:54:59 2014  removing 361466 relations and 290594 ideals in 70872 cliques
Tue Dec 23 08:55:00 2014  commencing in-memory singleton removal
Tue Dec 23 08:55:00 2014  begin with 1389762 relations and 1646352 unique ideals
Tue Dec 23 08:55:01 2014  reduce to 1324905 relations and 1288061 ideals in 10 passes
Tue Dec 23 08:55:01 2014  max relations containing the same ideal: 77
Tue Dec 23 08:55:02 2014  relations with 0 large ideals: 471
Tue Dec 23 08:55:02 2014  relations with 1 large ideals: 216
Tue Dec 23 08:55:02 2014  relations with 2 large ideals: 3490
Tue Dec 23 08:55:02 2014  relations with 3 large ideals: 28741
Tue Dec 23 08:55:02 2014  relations with 4 large ideals: 123573
Tue Dec 23 08:55:02 2014  relations with 5 large ideals: 309641
Tue Dec 23 08:55:02 2014  relations with 6 large ideals: 400041
Tue Dec 23 08:55:02 2014  relations with 7+ large ideals: 458732
Tue Dec 23 08:55:02 2014  commencing 2-way merge
Tue Dec 23 08:55:02 2014  reduce to 764109 relation sets and 727265 unique ideals
Tue Dec 23 08:55:02 2014  commencing full merge
Tue Dec 23 08:55:14 2014  memory use: 84.5 MB
Tue Dec 23 08:55:14 2014  found 363991 cycles, need 355465
Tue Dec 23 08:55:14 2014  weight of 355465 cycles is about 25168047 (70.80/cycle)
Tue Dec 23 08:55:14 2014  distribution of cycle lengths:
Tue Dec 23 08:55:14 2014  1 relations: 37450
Tue Dec 23 08:55:14 2014  2 relations: 36081
Tue Dec 23 08:55:14 2014  3 relations: 35182
Tue Dec 23 08:55:14 2014  4 relations: 33237
Tue Dec 23 08:55:14 2014  5 relations: 30746
Tue Dec 23 08:55:14 2014  6 relations: 27984
Tue Dec 23 08:55:14 2014  7 relations: 24947
Tue Dec 23 08:55:14 2014  8 relations: 22281
Tue Dec 23 08:55:14 2014  9 relations: 19768
Tue Dec 23 08:55:14 2014  10+ relations: 87789
Tue Dec 23 08:55:14 2014  heaviest cycle: 25 relations
Tue Dec 23 08:55:14 2014  commencing cycle optimization
Tue Dec 23 08:55:15 2014  start with 2355953 relations
Tue Dec 23 08:55:18 2014  pruned 58660 relations
Tue Dec 23 08:55:18 2014  memory use: 75.8 MB
Tue Dec 23 08:55:18 2014  distribution of cycle lengths:
Tue Dec 23 08:55:18 2014  1 relations: 37450
Tue Dec 23 08:55:18 2014  2 relations: 36795
Tue Dec 23 08:55:18 2014  3 relations: 36432
Tue Dec 23 08:55:18 2014  4 relations: 34053
Tue Dec 23 08:55:18 2014  5 relations: 31627
Tue Dec 23 08:55:18 2014  6 relations: 28518
Tue Dec 23 08:55:18 2014  7 relations: 25336
Tue Dec 23 08:55:18 2014  8 relations: 22527
Tue Dec 23 08:55:18 2014  9 relations: 19847
Tue Dec 23 08:55:18 2014  10+ relations: 82880
Tue Dec 23 08:55:18 2014  heaviest cycle: 24 relations
Tue Dec 23 08:55:19 2014  RelProcTime: 122
Tue Dec 23 08:55:19 2014  
Tue Dec 23 08:55:19 2014  commencing linear algebra
Tue Dec 23 08:55:19 2014  read 355465 cycles
Tue Dec 23 08:55:20 2014  cycles contain 1249437 unique relations
Tue Dec 23 08:55:31 2014  read 1249437 relations
Tue Dec 23 08:55:33 2014  using 20 quadratic characters above 67107192
Tue Dec 23 08:55:38 2014  building initial matrix
Tue Dec 23 08:55:53 2014  memory use: 157.5 MB
Tue Dec 23 08:55:53 2014  read 355465 cycles
Tue Dec 23 08:55:53 2014  matrix is 355279 x 355465 (108.6 MB) with weight 34709234 (97.64/col)
Tue Dec 23 08:55:53 2014  sparse part has weight 24196176 (68.07/col)
Tue Dec 23 08:55:56 2014  filtering completed in 2 passes
Tue Dec 23 08:55:56 2014  matrix is 354407 x 354593 (108.5 MB) with weight 34664935 (97.76/col)
Tue Dec 23 08:55:56 2014  sparse part has weight 24179471 (68.19/col)
Tue Dec 23 08:55:57 2014  matrix starts at (0, 0)
Tue Dec 23 08:55:57 2014  matrix is 354407 x 354593 (108.5 MB) with weight 34664935 (97.76/col)
Tue Dec 23 08:55:57 2014  sparse part has weight 24179471 (68.19/col)
Tue Dec 23 08:55:57 2014  saving the first 48 matrix rows for later
Tue Dec 23 08:55:57 2014  matrix includes 64 packed rows
Tue Dec 23 08:55:57 2014  matrix is 354359 x 354593 (104.2 MB) with weight 27584541 (77.79/col)
Tue Dec 23 08:55:57 2014  sparse part has weight 23765965 (67.02/col)
Tue Dec 23 08:55:57 2014  using block size 65536 for processor cache size 8192 kB
Tue Dec 23 08:55:58 2014  commencing Lanczos iteration (8 threads)
Tue Dec 23 08:55:58 2014  memory use: 98.0 MB
Tue Dec 23 08:56:16 2014  linear algebra at 3.4%, ETA 0h 8m
Tue Dec 23 09:03:42 2014  lanczos halted after 5606 iterations (dim = 354358)
Tue Dec 23 09:03:42 2014  recovered 34 nontrivial dependencies
Tue Dec 23 09:03:42 2014  BLanczosTime: 503
Tue Dec 23 09:03:42 2014  
Tue Dec 23 09:03:42 2014  commencing square root phase
Tue Dec 23 09:03:42 2014  reading relations for dependency 1
Tue Dec 23 09:03:42 2014  read 177407 cycles
Tue Dec 23 09:03:42 2014  cycles contain 625346 unique relations
Tue Dec 23 09:03:48 2014  read 625346 relations
Tue Dec 23 09:03:49 2014  multiplying 625346 relations
Tue Dec 23 09:04:11 2014  multiply complete, coefficients have about 27.73 million bits
Tue Dec 23 09:04:12 2014  initial square root is modulo 92111927
Tue Dec 23 09:04:46 2014  sqrtTime: 64
--
n: 68864956263823149876064951814391006067462792135513337928431495051820719650580538222076255162663696889912999
skew: 2930645.76
c0: -110362023811163297222413820685
c1: -182303221782391735813347
c2: -67508778727313324
c3: -32716435898
c4: 9204
Y0: -52300455496044998108020292
Y1: 7419212310365
rlim: 2780000
alim: 2780000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:21:14 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 14 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:20 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 20 秒 (日本時間)

10192+293

c166

name 名前Dmitry Domanov
date 日付January 19, 2017 05:47:22 UTC 2017 年 1 月 19 日 (木) 14 時 47 分 22 秒 (日本時間)
composite number 合成数
3724720658544386976049721495751661972186838315098499819767628967805986849014098644937245705262975118878360189295693737787447367292966650847923704911699152036423912557<166>
prime factors 素因数
294838644946908794398108040819196530300251<42>
12633081593544470767453390991918530660177087191271550382429737316973868948146744771642449039367585424895096216690792444110807<125>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3839302742
Step 1 took 60830ms
Step 2 took 1502ms
********** Factor found in step 2: 294838644946908794398108040819196530300251
Found probable prime factor of 42 digits: 294838644946908794398108040819196530300251

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e61320300Serge BatalovDecember 20, 2014 21:21:15 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 15 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:21 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 21 秒 (日本時間)
720Dmitry DomanovNovember 22, 2016 09:40:58 UTC 2016 年 11 月 22 日 (火) 18 時 40 分 58 秒 (日本時間)
4511e6400 / 4183Dmitry DomanovJanuary 17, 2017 16:12:24 UTC 2017 年 1 月 18 日 (水) 1 時 12 分 24 秒 (日本時間)

10193+293

c133

name 名前Erik Branger
date 日付March 17, 2015 16:43:17 UTC 2015 年 3 月 18 日 (水) 1 時 43 分 17 秒 (日本時間)
composite number 合成数
8719033387125828158507050958473075689171378609694236548910946708279702301787397025977133695470609896777766847869015291538935279895823<133>
prime factors 素因数
270439173520499077878723273407914295842617545704408926921787<60>
32240275229449820241175549371802892055876117876188160234536403118051572029<74>
factorization results 素因数分解の結果
Number: 33343_193
N = 8719033387125828158507050958473075689171378609694236548910946708279702301787397025977133695470609896777766847869015291538935279895823 (133 digits)
Divisors found:
r1=270439173520499077878723273407914295842617545704408926921787 (pp60)
r2=32240275229449820241175549371802892055876117876188160234536403118051572029 (pp74)
Version: Msieve v. 1.52 (SVN 958)
Total time: 70.04 hours.
Factorization parameters were as follows:
# Murphy_E = 5.402e-11, selected by Erik Branger
# expecting poly E from 5.51e-011 to > 6.34e-011
n: 8719033387125828158507050958473075689171378609694236548910946708279702301787397025977133695470609896777766847869015291538935279895823
Y0: -87335527710664409878567415
Y1: 90775255361393
c0: -29209757950206695644276046303844
c1: 107078574056511145316699256
c2: 2958109357839765861463
c3: -2663040136840897
c4: -14014444769
c5: 1716
skew: 473198.25
type: gnfs
# selected mechanically
rlim: 11800000
alim: 11800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 11800000/11800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 19914038
Relations: 2873758 relations
Pruned matrix : 1706426 x 1706660
Polynomial selection time: 0.00 hours.
Total sieving time: 68.62 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.19 hours.
time per square root: 0.14 hours.
Prototype def-par.txt line would be: gnfs,132,5,65,2000,1e-05,0.28,250,20,50000,3600,11800000,11800000,28,28,54,54,2.6,2.6,100000
total time: 70.04 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:01:53 UTC 2014 年 12 月 20 日 (土) 3 時 1 分 53 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:13 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 13 秒 (日本時間)

10194+293

c188

name 名前Jo Yeong Uk
date 日付December 25, 2018 11:41:23 UTC 2018 年 12 月 25 日 (火) 20 時 41 分 23 秒 (日本時間)
composite number 合成数
72082826050445003326622422228036903523624785823903097615283865773127954945350405429855120727921210587813821593563868627607866542972537164103040958182590123355340220126534192848951158839553<188>
prime factors 素因数
10216042809719300720754629516240446112533246553639940652004505127<65>
7055846122910439746658581633626535024841997008966223860480329860033041290660684048280481927942806407709678645897303617394839<124>
factorization results 素因数分解の結果
Number: 33343_194
N=72082826050445003326622422228036903523624785823903097615283865773127954945350405429855120727921210587813821593563868627607866542972537164103040958182590123355340220126534192848951158839553
  ( 188 digits)
SNFS difficulty: 195 digits.
Divisors found:
 r1=10216042809719300720754629516240446112533246553639940652004505127
 r2=7055846122910439746658581633626535024841997008966223860480329860033041290660684048280481927942806407709678645897303617394839
Version: 
Total time: 150.87 hours.
Scaled time: 791.93 units (timescale=5.249).
Factorization parameters were as follows:
n: 72082826050445003326622422228036903523624785823903097615283865773127954945350405429855120727921210587813821593563868627607866542972537164103040958182590123355340220126534192848951158839553
m: 1000000000000000000000000000000000000000
deg: 5
c5: 1
c0: 290
skew: 3.11
# Murphy_E = 2.487e-11
type: snfs
lss: 1
rlim: 12000000
alim: 12000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5

Factor base limits: 12000000/12000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6000000, 12200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 23262284
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2233781 x 2234029
Total sieving time: 138.64 hours.
Total relation processing time: 3.89 hours.
Matrix solve time: 7.92 hours.
Time per square root: 0.43 hours.
Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12000000,12000000,28,28,55,55,2.5,2.5,100000
total time: 150.87 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49367604k/51380224k available (5540k kernel code, 1086464k absent, 926156k reserved, 6889k data, 1348k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.73 BogoMIPS (lpj=3399865)
Total of 12 processors activated (81596.76 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e61320300Serge BatalovDecember 20, 2014 21:21:15 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 15 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:21 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 21 秒 (日本時間)
720Dmitry DomanovNovember 22, 2016 09:41:38 UTC 2016 年 11 月 22 日 (火) 18 時 41 分 38 秒 (日本時間)
4511e6400 / 4183Dmitry DomanovJanuary 17, 2017 16:11:38 UTC 2017 年 1 月 18 日 (水) 1 時 11 分 38 秒 (日本時間)

10195+293

c154

name 名前Jo Yeong Uk
date 日付January 21, 2019 03:25:18 UTC 2019 年 1 月 21 日 (月) 12 時 25 分 18 秒 (日本時間)
composite number 合成数
6640322988663875298178475189605919885545432292873681506282860641924870114253460051068039952980956867469456174016722811913369582575183586865780975716838293<154>
prime factors 素因数
1413375271691715924161491645566516145223607089790385337<55>
4698202325781355724953076009741823577858222549274223349637092109752581979299951376896265593087020989<100>
factorization results 素因数分解の結果
Number: 33343_195
N=6640322988663875298178475189605919885545432292873681506282860641924870114253460051068039952980956867469456174016722811913369582575183586865780975716838293
  ( 154 digits)
SNFS difficulty: 195 digits.
Divisors found:
 r1=1413375271691715924161491645566516145223607089790385337
 r2=4698202325781355724953076009741823577858222549274223349637092109752581979299951376896265593087020989
Version: 
Total time: 123.50 hours.
Scaled time: 649.00 units (timescale=5.255).
Factorization parameters were as follows:
n: 6640322988663875298178475189605919885545432292873681506282860641924870114253460051068039952980956867469456174016722811913369582575183586865780975716838293
m: 1000000000000000000000000000000000000000
deg: 5
c5: 1
c0: 29
skew: 1.96
# Murphy_E = 2.996e-11
type: snfs
lss: 1
rlim: 12000000
alim: 12000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12000000/12000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6000000, 11000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 22457920
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2198547 x 2198795
Total sieving time: 112.57 hours.
Total relation processing time: 3.02 hours.
Matrix solve time: 7.48 hours.
Time per square root: 0.42 hours.
Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12000000,12000000,28,28,55,55,2.5,2.5,100000
total time: 123.50 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49367604k/51380224k available (5540k kernel code, 1086464k absent, 926156k reserved, 6889k data, 1348k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.73 BogoMIPS (lpj=3399865)
Total of 12 processors activated (81596.76 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e61320300Serge BatalovDecember 20, 2014 21:21:15 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 15 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:22 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 22 秒 (日本時間)
720Dmitry DomanovNovember 22, 2016 09:41:56 UTC 2016 年 11 月 22 日 (火) 18 時 41 分 56 秒 (日本時間)
4511e6400 / 4183Dmitry DomanovJanuary 17, 2017 16:12:49 UTC 2017 年 1 月 18 日 (水) 1 時 12 分 49 秒 (日本時間)

10197+293

c190

name 名前Jo Yeong Uk
date 日付April 16, 2019 13:25:02 UTC 2019 年 4 月 16 日 (火) 22 時 25 分 2 秒 (日本時間)
composite number 合成数
1127902916162536359501369009083036020944390179155309671215961567745802444443083441592274983903979459173484247645838213628263704107843850819364509494816457091589765963866975897041773452285133<190>
prime factors 素因数
55790530009095394785893515714254109200278069730307070356013<59>
16269605074672525491864556306592749673222554206175604134590197651<65>
1242608217185683501796494790916338502145320557692474674781120036091<67>
factorization results 素因数分解の結果
Number: 33343_197
N=1127902916162536359501369009083036020944390179155309671215961567745802444443083441592274983903979459173484247645838213628263704107843850819364509494816457091589765963866975897041773452285133
  ( 190 digits)
SNFS difficulty: 197 digits.
Divisors found:
 r1=55790530009095394785893515714254109200278069730307070356013
 r2=16269605074672525491864556306592749673222554206175604134590197651
 r3=1242608217185683501796494790916338502145320557692474674781120036091
Version: 
Total time: 172.18 hours.
Scaled time: 893.43 units (timescale=5.189).
Factorization parameters were as follows:
n: 1127902916162536359501369009083036020944390179155309671215961567745802444443083441592274983903979459173484247645838213628263704107843850819364509494816457091589765963866975897041773452285133
m: 1000000000000000000000000000000000000000
deg: 5
c5: 100
c0: 29
skew: 0.78
# Murphy_E = 1.91e-11
type: snfs
lss: 1
rlim: 14000000
alim: 14000000
lpbr: 29
lpba: 29
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14000000/14000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 55/55
Sieved rational special-q in [7000000, 13700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 34195279
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2684889 x 2685137
Total sieving time: 153.14 hours.
Total relation processing time: 5.89 hours.
Matrix solve time: 12.40 hours.
Time per square root: 0.75 hours.
Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,14000000,14000000,29,29,55,55,2.5,2.5,100000
total time: 172.18 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:21:16 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 16 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:22 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 22 秒 (日本時間)
4511e6498 / 4342CypMay 11, 2015 05:31:09 UTC 2015 年 5 月 11 日 (月) 14 時 31 分 9 秒 (日本時間)

10198+293

c179

name 名前Jo Yeong Uk
date 日付November 18, 2018 01:17:06 UTC 2018 年 11 月 18 日 (日) 10 時 17 分 6 秒 (日本時間)
composite number 合成数
55521024060293371227652416404545782274746667755187036660211458737631165055336100005240060931613581737790751644995260411481360451845706464438912920581174468304636683701442681773081<179>
prime factors 素因数
11548378043211668511868520449147640447063<41>
composite cofactor 合成数の残り
4807690210048983118084653929118192251056668717437849196832047404673745303930948203990118523557886947132349948203640488490293266648516182287<139>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 55521024060293371227652416404545782274746667755187036660211458737631165055336100005240060931613581737790751644995260411481360451845706464438912920581174468304636683701442681773081 (179 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1139812768
Step 1 took 34500ms
Step 2 took 10901ms
********** Factor found in step 2: 11548378043211668511868520449147640447063
Found probable prime factor of 41 digits: 11548378043211668511868520449147640447063
Composite cofactor 4807690210048983118084653929118192251056668717437849196832047404673745303930948203990118523557886947132349948203640488490293266648516182287 has 139 digits
execution environment 実行環境
Core i7-4930K

c139

name 名前Eric Jeancolas
date 日付April 24, 2019 19:27:38 UTC 2019 年 4 月 25 日 (木) 4 時 27 分 38 秒 (日本時間)
composite number 合成数
4807690210048983118084653929118192251056668717437849196832047404673745303930948203990118523557886947132349948203640488490293266648516182287<139>
prime factors 素因数
26356602766455392938555796493172526618672079010934553740269<59>
182409328419512106630795171172156544027396002266780884315960959683685867936706923<81>
factorization results 素因数分解の結果
263*521*43815503389961*11548378043211668511868520449147640447063*26356602766455392938555796493172526618672079010934553740269*182409328419512106630795171172156544027396002266780884315960959683685867936706923

Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 65655.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 66035/41.100/49.924/55.150/0.966
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 66035/40.630/44.640/50.610/1.210
Info:Polynomial Selection (size optimized): Total time: 45728.2
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5033.91
Info:Polynomial Selection (root optimized): Rootsieve time: 5031.96
Info:Generate Factor Base: Total cpu/real time for makefb: 23.33/2.58282
Info:Generate Free Relations: Total cpu/real time for freerel: 289.19/25.6949
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25179311
Info:Lattice Sieving: Average J: 3786.55 for 801184 special-q, max bucket fill: 0.644521
Info:Lattice Sieving: Total CPU time: 1.41446e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 113.92/209.672
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 209.5s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 479.63/324.531
Info:Filtering - Singleton removal: Total cpu/real time for purge: 265.7/218.125
Info:Filtering - Merging: Total cpu/real time for merge: 1031.44/938.094
Info:Filtering - Merging: Total cpu/real time for replay: 76.19/59.5668
Info:Linear Algebra: Total cpu/real time for bwc: 227209/0.000310183
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 13616.17
Info:Linear Algebra: Lingen CPU time 757.51, WCT time 86.56
Info:Linear Algebra: Mksol: WCT time 7447.56
Info:Quadratic Characters: Total cpu/real time for characters: 78.24/18.3989
Info:Square Root: Total cpu/real time for sqrt: 4669.41/703.79
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 1.69946e+06/150775
Info:root: Cleaning up computation data in /tmp/cado.n1dvudy2
182409328419512106630795171172156544027396002266780884315960959683685867936706923 26356602766455392938555796493172526618672079010934553740269
software ソフトウェア
cado-nfs-2.3.0
execution environment 実行環境
Linux Ubuntu 18.04 LTS 
GenuineIntel Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz [Family 6 Model 63 Stepping 2] (12 processors) 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:21:16 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 16 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:22 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 22 秒 (日本時間)
4511e6498 / 4342CypMay 16, 2015 06:00:59 UTC 2015 年 5 月 16 日 (土) 15 時 0 分 59 秒 (日本時間)

10199+293

c183

name 名前Serge Batalov
date 日付December 20, 2014 21:48:43 UTC 2014 年 12 月 21 日 (日) 6 時 48 分 43 秒 (日本時間)
composite number 合成数
238848464145772777359409353212525134691406160185177057673248579386112563862528127988299663957580248186986812992229083824440866635025316931135001800232697549804979509833772472935571923<183>
prime factors 素因数
5923620692984472368125784827573<31>
19382568239533238547467713611680471<35>
composite cofactor 合成数の残り
2080290040086996122405259625922727980149591829904005805390292559654699980946167708320525557888244959759718986417936881<118>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1905396702
Step 1 took 13610ms
Step 2 took 9184ms
********** Factor found in step 2: 5923620692984472368125784827573
Found probable prime factor of 31 digits: 5923620692984472368125784827573

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2521338779
Step 1 took 14049ms
Step 2 took 9215ms
********** Factor found in step 2: 19382568239533238547467713611680471
Found probable prime factor of 35 digits: 19382568239533238547467713611680471

c118

name 名前Cyp
date 日付December 25, 2014 06:40:21 UTC 2014 年 12 月 25 日 (木) 15 時 40 分 21 秒 (日本時間)
composite number 合成数
2080290040086996122405259625922727980149591829904005805390292559654699980946167708320525557888244959759718986417936881<118>
prime factors 素因数
719197898914910222992618595597576180053604042863550448263<57>
2892514067721323389764770082255548075009872229143633430726087<61>
factorization results 素因数分解の結果
12/25/14 01:18:43 v1.34.3, 
12/25/14 01:18:43 v1.34.3, ****************************
12/25/14 01:18:43 v1.34.3, Starting factorization of 2080290040086996122405259625922727980149591829904005805390292559654699980946167708320525557888244959759718986417936881
12/25/14 01:18:43 v1.34.3, using pretesting plan: none
12/25/14 01:18:43 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/25/14 01:18:43 v1.34.3, ****************************
12/25/14 01:18:43 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C118
12/25/14 01:18:43 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C118
12/25/14 01:18:43 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C118
12/25/14 01:18:43 v1.34.3, final ECM pretested depth: 0.00
12/25/14 01:18:43 v1.34.3, scheduler: switching to sieve method
12/25/14 01:18:43 v1.34.3, nfs: commencing nfs on c118: 2080290040086996122405259625922727980149591829904005805390292559654699980946167708320525557888244959759718986417936881
12/25/14 01:18:43 v1.34.3, nfs: commencing poly selection with 8 threads
12/25/14 01:18:43 v1.34.3, nfs: setting deadline of 1293 seconds
12/25/14 01:40:21 v1.34.3, nfs: completed 85 ranges of size 250 in 1297.1161 seconds
12/25/14 01:40:21 v1.34.3, nfs: best poly = # norm 3.378864e-11 alpha -7.382906 e 3.839e-10 rroots 3
12/25/14 01:40:21 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/25/14 01:50:54 v1.34.3, nfs: commencing lattice sieving with 8 threads
[27 lines snipped]
12/25/14 06:44:27 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/25/14 06:55:37 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/25/14 07:06:19 v1.34.3, nfs: commencing msieve filtering
12/25/14 07:10:04 v1.34.3, nfs: commencing msieve linear algebra
12/25/14 07:34:01 v1.34.3, nfs: commencing msieve sqrt
12/25/14 07:40:15 v1.34.3, prp61 = 2892514067721323389764770082255548075009872229143633430726087
12/25/14 07:40:15 v1.34.3, prp57 = 719197898914910222992618595597576180053604042863550448263
12/25/14 07:40:15 v1.34.3, NFS elapsed time = 22891.8623 seconds.
12/25/14 07:40:15 v1.34.3, 
12/25/14 07:40:15 v1.34.3, 
12/25/14 07:40:15 v1.34.3, Total factoring time = 22891.9099 seconds
--
Thu Dec 25 07:06:19 2014  
Thu Dec 25 07:06:19 2014  commencing relation filtering
Thu Dec 25 07:06:19 2014  estimated available RAM is 15987.3 MB
Thu Dec 25 07:06:19 2014  commencing duplicate removal, pass 1
Thu Dec 25 07:07:23 2014  found 1073770 hash collisions in 10225830 relations
Thu Dec 25 07:07:40 2014  added 63179 free relations
Thu Dec 25 07:07:40 2014  commencing duplicate removal, pass 2
Thu Dec 25 07:07:52 2014  found 501673 duplicates and 9787336 unique relations
Thu Dec 25 07:07:52 2014  memory use: 41.3 MB
Thu Dec 25 07:07:52 2014  reading ideals above 100000
Thu Dec 25 07:07:52 2014  commencing singleton removal, initial pass
Thu Dec 25 07:09:16 2014  memory use: 344.5 MB
Thu Dec 25 07:09:16 2014  reading all ideals from disk
Thu Dec 25 07:09:16 2014  memory use: 342.2 MB
Thu Dec 25 07:09:16 2014  keeping 10760286 ideals with weight <= 200, target excess is 49786
Thu Dec 25 07:09:17 2014  commencing in-memory singleton removal
Thu Dec 25 07:09:18 2014  begin with 9787336 relations and 10760286 unique ideals
Thu Dec 25 07:09:27 2014  reduce to 3521273 relations and 3329551 ideals in 21 passes
Thu Dec 25 07:09:27 2014  max relations containing the same ideal: 102
Thu Dec 25 07:09:28 2014  removing 589865 relations and 522880 ideals in 66985 cliques
Thu Dec 25 07:09:29 2014  commencing in-memory singleton removal
Thu Dec 25 07:09:29 2014  begin with 2931408 relations and 3329551 unique ideals
Thu Dec 25 07:09:32 2014  reduce to 2847905 relations and 2720837 ideals in 11 passes
Thu Dec 25 07:09:32 2014  max relations containing the same ideal: 91
Thu Dec 25 07:09:33 2014  removing 439467 relations and 372482 ideals in 66985 cliques
Thu Dec 25 07:09:33 2014  commencing in-memory singleton removal
Thu Dec 25 07:09:34 2014  begin with 2408438 relations and 2720837 unique ideals
Thu Dec 25 07:09:36 2014  reduce to 2348721 relations and 2287148 ideals in 11 passes
Thu Dec 25 07:09:36 2014  max relations containing the same ideal: 81
Thu Dec 25 07:09:38 2014  relations with 0 large ideals: 151
Thu Dec 25 07:09:38 2014  relations with 1 large ideals: 485
Thu Dec 25 07:09:38 2014  relations with 2 large ideals: 7918
Thu Dec 25 07:09:38 2014  relations with 3 large ideals: 60372
Thu Dec 25 07:09:38 2014  relations with 4 large ideals: 243394
Thu Dec 25 07:09:38 2014  relations with 5 large ideals: 543964
Thu Dec 25 07:09:38 2014  relations with 6 large ideals: 702162
Thu Dec 25 07:09:38 2014  relations with 7+ large ideals: 790275
Thu Dec 25 07:09:38 2014  commencing 2-way merge
Thu Dec 25 07:09:39 2014  reduce to 1311841 relation sets and 1250269 unique ideals
Thu Dec 25 07:09:39 2014  ignored 1 oversize relation sets
Thu Dec 25 07:09:39 2014  commencing full merge
Thu Dec 25 07:09:56 2014  memory use: 140.4 MB
Thu Dec 25 07:09:56 2014  found 648242 cycles, need 638469
Thu Dec 25 07:09:57 2014  weight of 638469 cycles is about 44846405 (70.24/cycle)
Thu Dec 25 07:09:57 2014  distribution of cycle lengths:
Thu Dec 25 07:09:57 2014  1 relations: 76065
Thu Dec 25 07:09:57 2014  2 relations: 72924
Thu Dec 25 07:09:57 2014  3 relations: 71607
Thu Dec 25 07:09:57 2014  4 relations: 63655
Thu Dec 25 07:09:57 2014  5 relations: 58104
Thu Dec 25 07:09:57 2014  6 relations: 49084
Thu Dec 25 07:09:57 2014  7 relations: 44398
Thu Dec 25 07:09:57 2014  8 relations: 38232
Thu Dec 25 07:09:57 2014  9 relations: 32838
Thu Dec 25 07:09:57 2014  10+ relations: 131562
Thu Dec 25 07:09:57 2014  heaviest cycle: 22 relations
Thu Dec 25 07:09:57 2014  commencing cycle optimization
Thu Dec 25 07:09:58 2014  start with 3890830 relations
Thu Dec 25 07:10:03 2014  pruned 76496 relations
Thu Dec 25 07:10:03 2014  memory use: 132.6 MB
Thu Dec 25 07:10:03 2014  distribution of cycle lengths:
Thu Dec 25 07:10:03 2014  1 relations: 76065
Thu Dec 25 07:10:03 2014  2 relations: 74372
Thu Dec 25 07:10:03 2014  3 relations: 73722
Thu Dec 25 07:10:03 2014  4 relations: 64870
Thu Dec 25 07:10:03 2014  5 relations: 59077
Thu Dec 25 07:10:03 2014  6 relations: 49693
Thu Dec 25 07:10:03 2014  7 relations: 44617
Thu Dec 25 07:10:03 2014  8 relations: 38156
Thu Dec 25 07:10:03 2014  9 relations: 32611
Thu Dec 25 07:10:03 2014  10+ relations: 125286
Thu Dec 25 07:10:03 2014  heaviest cycle: 22 relations
Thu Dec 25 07:10:04 2014  RelProcTime: 225
Thu Dec 25 07:10:04 2014  
Thu Dec 25 07:10:04 2014  commencing linear algebra
Thu Dec 25 07:10:04 2014  read 638469 cycles
Thu Dec 25 07:10:05 2014  cycles contain 2250951 unique relations
Thu Dec 25 07:10:27 2014  read 2250951 relations
Thu Dec 25 07:10:29 2014  using 20 quadratic characters above 134217494
Thu Dec 25 07:10:39 2014  building initial matrix
Thu Dec 25 07:10:54 2014  memory use: 276.3 MB
Thu Dec 25 07:10:55 2014  read 638469 cycles
Thu Dec 25 07:10:55 2014  matrix is 638298 x 638469 (191.7 MB) with weight 60511190 (94.78/col)
Thu Dec 25 07:10:55 2014  sparse part has weight 43242286 (67.73/col)
Thu Dec 25 07:11:01 2014  filtering completed in 2 passes
Thu Dec 25 07:11:01 2014  matrix is 636495 x 636671 (191.6 MB) with weight 60434857 (94.92/col)
Thu Dec 25 07:11:01 2014  sparse part has weight 43217687 (67.88/col)
Thu Dec 25 07:11:03 2014  matrix starts at (0, 0)
Thu Dec 25 07:11:03 2014  matrix is 636495 x 636671 (191.6 MB) with weight 60434857 (94.92/col)
Thu Dec 25 07:11:03 2014  sparse part has weight 43217687 (67.88/col)
Thu Dec 25 07:11:03 2014  saving the first 48 matrix rows for later
Thu Dec 25 07:11:03 2014  matrix includes 64 packed rows
Thu Dec 25 07:11:03 2014  matrix is 636447 x 636671 (184.8 MB) with weight 48196347 (75.70/col)
Thu Dec 25 07:11:03 2014  sparse part has weight 42081717 (66.10/col)
Thu Dec 25 07:11:03 2014  using block size 65536 for processor cache size 8192 kB
Thu Dec 25 07:11:06 2014  commencing Lanczos iteration (8 threads)
Thu Dec 25 07:11:06 2014  memory use: 176.7 MB
Thu Dec 25 07:11:13 2014  linear algebra at 0.5%, ETA 0h24m
Thu Dec 25 07:34:00 2014  lanczos halted after 10066 iterations (dim = 636446)
Thu Dec 25 07:34:01 2014  recovered 29 nontrivial dependencies
Thu Dec 25 07:34:01 2014  BLanczosTime: 1437
Thu Dec 25 07:34:01 2014  
Thu Dec 25 07:34:01 2014  commencing square root phase
Thu Dec 25 07:34:01 2014  reading relations for dependency 1
Thu Dec 25 07:34:01 2014  read 319461 cycles
Thu Dec 25 07:34:01 2014  cycles contain 1129808 unique relations
Thu Dec 25 07:34:18 2014  read 1129808 relations
Thu Dec 25 07:34:23 2014  multiplying 1129808 relations
Thu Dec 25 07:35:21 2014  multiply complete, coefficients have about 47.24 million bits
Thu Dec 25 07:35:21 2014  initial square root is modulo 6052591
Thu Dec 25 07:36:38 2014  GCD is 1, no factor found
Thu Dec 25 07:36:38 2014  reading relations for dependency 2
Thu Dec 25 07:36:38 2014  read 318090 cycles
Thu Dec 25 07:36:38 2014  cycles contain 1124788 unique relations
Thu Dec 25 07:36:54 2014  read 1124788 relations
Thu Dec 25 07:36:59 2014  multiplying 1124788 relations
Thu Dec 25 07:38:03 2014  multiply complete, coefficients have about 47.03 million bits
Thu Dec 25 07:38:03 2014  initial square root is modulo 5645723
Thu Dec 25 07:38:45 2014  GCD is 1, no factor found
Thu Dec 25 07:38:45 2014  reading relations for dependency 3
Thu Dec 25 07:38:45 2014  read 318916 cycles
Thu Dec 25 07:38:46 2014  cycles contain 1126518 unique relations
Thu Dec 25 07:38:55 2014  read 1126518 relations
Thu Dec 25 07:38:58 2014  multiplying 1126518 relations
Thu Dec 25 07:39:32 2014  multiply complete, coefficients have about 47.10 million bits
Thu Dec 25 07:39:32 2014  initial square root is modulo 5785433
Thu Dec 25 07:40:15 2014  sqrtTime: 374
--
n: 2080290040086996122405259625922727980149591829904005805390292559654699980946167708320525557888244959759718986417936881
skew: 315514.07
c0: -289312074604953540094924439625
c1: -988783584142014761385635
c2: 86987853792353619357
c3: -970770617123781
c4: -820708192
c5: 1116
Y0: -71464792165226577106334
Y1: 219274808713
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 20, 2014 21:21:16 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 16 秒 (日本時間)
4511e6790 / 4409Pierre JammesDecember 24, 2014 07:56:17 UTC 2014 年 12 月 24 日 (水) 16 時 56 分 17 秒 (日本時間)

10200+293

c175

name 名前Cyp
date 日付May 15, 2015 20:28:43 UTC 2015 年 5 月 16 日 (土) 5 時 28 分 43 秒 (日本時間)
composite number 合成数
2427645914692642028591736579002545510685259505866547978823605080354810106040001463618054511747115256736568876457349965196186725744218842213372865651783641493927271129686247001<175>
prime factors 素因数
709575705405344412978508467077531751725927<42>
composite cofactor 合成数の残り
3421264138836111538783293961548698678404217304807785373704267887572177436132770691889580504107693610875948807787804273100301964236863<133>
factorization results 素因数分解の結果
Run 333 out of 498:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=326632603
Step 1 took 60023ms
Step 2 took 18964ms
********** Factor found in step 2: 709575705405344412978508467077531751725927
Found probable prime factor of 42 digits: 709575705405344412978508467077531751725927
Composite cofactor 3421264138836111538783293961548698678404217304807785373704267887572177436132770691889580504107693610875948807787804273100301964236863 has 133 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

c133

name 名前Erik Branger
date 日付May 26, 2015 21:11:53 UTC 2015 年 5 月 27 日 (水) 6 時 11 分 53 秒 (日本時間)
composite number 合成数
3421264138836111538783293961548698678404217304807785373704267887572177436132770691889580504107693610875948807787804273100301964236863<133>
prime factors 素因数
226408766931722650122363685109765234762322483874349<51>
15111005572800327795081778325863938755403057839553672334396186440247310196101106587<83>
factorization results 素因数分解の結果
Number: 33343_200
N = 3421264138836111538783293961548698678404217304807785373704267887572177436132770691889580504107693610875948807787804273100301964236863 (133 digits)
Divisors found:
r1=226408766931722650122363685109765234762322483874349 (pp51)
r2=15111005572800327795081778325863938755403057839553672334396186440247310196101106587 (pp83)
Version: Msieve v. 1.51 (SVN 845)
Total time: 112.28 hours.
Factorization parameters were as follows:
# Murphy_E = 5.983e-11, selected by Erik Branger
# expecting poly E from 5.83e-011 to > 6.71e-011
n: 3421264138836111538783293961548698678404217304807785373704267887572177436132770691889580504107693610875948807787804273100301964236863
Y0: -59666787469954861512662670
Y1: 101702631159221
c0: -410298073223938009739455708756567
c1: 5154959758713994886424838589
c2: 7493268047503575682869
c3: -17078383664567963
c4: 4468735048
c5: 4524
skew: 980718.12
type: gnfs
# selected mechanically
rlim: 11500000
alim: 11500000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 11500000/11500000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 19799572
Relations: 2924550 relations
Pruned matrix : 1712944 x 1713173
Polynomial selection time: 0.00 hours.
Total sieving time: 109.55 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 2.36 hours.
time per square root: 0.24 hours.
Prototype def-par.txt line would be: gnfs,132,5,65,2000,1e-05,0.28,250,20,50000,3600,11500000,11500000,28,28,54,54,2.6,2.6,100000
total time: 112.28 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:21:17 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 17 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:23 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 23 秒 (日本時間)
4511e6498 / 4342CypMay 15, 2015 20:28:43 UTC 2015 年 5 月 16 日 (土) 5 時 28 分 43 秒 (日本時間)

10201+293

c173

name 名前Cyp
date 日付June 23, 2015 06:04:40 UTC 2015 年 6 月 23 日 (火) 15 時 4 分 40 秒 (日本時間)
composite number 合成数
82991336643422627841433906833207848213018992308574250346527957353117644796132005081008642549233259255587751385999095356826682771259281222782238261448650338051439357288972701<173>
prime factors 素因数
7379952763097132928277672557888551087911<40>
composite cofactor 合成数の残り
11245510548307871123415659210342361190393624367710064992512613505484611548869031657592214591684672628140872447333557724959340338004891<134>
factorization results 素因数分解の結果
Run 477 out of 498:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1717694959
Step 1 took 29303ms
Step 2 took 11989ms
********** Factor found in step 2: 7379952763097132928277672557888551087911
Found probable prime factor of 40 digits: 7379952763097132928277672557888551087911
Composite cofactor 11245510548307871123415659210342361190393624367710064992512613505484611548869031657592214591684672628140872447333557724959340338004891 has 134 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

c134

name 名前Erik Branger
date 日付July 7, 2015 15:17:04 UTC 2015 年 7 月 8 日 (水) 0 時 17 分 4 秒 (日本時間)
composite number 合成数
11245510548307871123415659210342361190393624367710064992512613505484611548869031657592214591684672628140872447333557724959340338004891<134>
prime factors 素因数
20904614894223842877277453484912330650098871052934025649<56>
537943923158092701664195048529054297097469547487420320501627642894258408968459<78>
factorization results 素因数分解の結果
Number: 33343_201
N = 11245510548307871123415659210342361190393624367710064992512613505484611548869031657592214591684672628140872447333557724959340338004891 (134 digits)
Divisors found:
r1=20904614894223842877277453484912330650098871052934025649 (pp56)
r2=537943923158092701664195048529054297097469547487420320501627642894258408968459 (pp78)
Version: Msieve v. 1.51 (SVN 845)
Total time: 138.18 hours.
Factorization parameters were as follows:
# Murphy_E = 5.026e-11, selected by Erik Branger
# expecting poly E from 5.43e-011 to > 6.24e-011
n: 11245510548307871123415659210342361190393624367710064992512613505484611548869031657592214591684672628140872447333557724959340338004891
Y0: -61273600199056358659338905
Y1: 109062924486469
c0: -4480587998878197127936361561016
c1: 763840086773447855382414070
c2: -4318045096740568771635
c3: -58903561099366325
c4: 20217543001
c5: 13020
skew: 410534.04
type: gnfs
# selected mechanically
rlim: 11800000
alim: 11800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 11800000/11800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 20208018
Relations: 3178344 relations
Pruned matrix : 1858726 x 1858974
Polynomial selection time: 0.00 hours.
Total sieving time: 134.59 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 2.84 hours.
time per square root: 0.60 hours.
Prototype def-par.txt line would be: gnfs,133,5,65,2000,1e-05,0.28,250,20,50000,3600,11800000,11800000,28,28,54,54,2.6,2.6,100000
total time: 138.18 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz
software ソフトウェア
GGNFS, Mseve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:21:17 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 17 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:23 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 23 秒 (日本時間)
4511e6498 / 4342CypJune 23, 2015 06:04:40 UTC 2015 年 6 月 23 日 (火) 15 時 4 分 40 秒 (日本時間)

10203+293

c188

name 名前Serge Batalov
date 日付December 21, 2014 01:54:57 UTC 2014 年 12 月 21 日 (日) 10 時 54 分 57 秒 (日本時間)
composite number 合成数
43742874429706002203630143407798036769399058137095903174050878613109286265298274213306239702293104105516808314237062834850165060950704315567919188219330473794224166568963885947028372610291<188>
prime factors 素因数
9058849228337226728559259911515291<34>
4828745166976921924317976824256227635836591707992848681191340203316465192273550953742916640608918225191533331447963362118573489961973207111164368403045001<154>
factorization results 素因数分解の結果
Input number is 43742874429706002203630143407798036769399058137095903174050878613109286265298274213306239702293104105516808314237062834850165060950704315567919188219330473794224166568963885947028372610291 (188 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1178643653
Step 1 took 13710ms
Step 2 took 9445ms
********** Factor found in step 2: 9058849228337226728559259911515291
Found probable prime factor of 34 digits: 9058849228337226728559259911515291
Probable prime cofactor 4828745166976921924317976824256227635836591707992848681191340203316465192273550953742916640608918225191533331447963362118573489961973207111164368403045001 has 154 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:21:18 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 18 秒 (日本時間)

10204+293

c164

name 名前ebina
date 日付September 14, 2021 13:18:09 UTC 2021 年 9 月 14 日 (火) 22 時 18 分 9 秒 (日本時間)
composite number 合成数
10248676553738569300776452705584020492781578407779991068520847927459662043248118987972621192600835409290942054284974845015331280198884970314651679476723223974436121<164>
prime factors 素因数
231882153586982691175865265556599762434558248877216041843769974170511836444859<78>
44197780619171830308710611005835852722049057060460108631286921484414554757428861468219<86>
factorization results 素因数分解の結果
03/27/20 09:07:46 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing nfs on c164: 10248676553738569300776452705584020492781578407779991068520847927459662043248118987972621192600835409290942054284974845015331280198884970314651679476723223974436121
03/27/20 09:07:46 v1.34.5 @ DESKTOP-272OUVM, nfs: input divides 10^204 + 29
03/27/20 09:07:46 v1.34.5 @ DESKTOP-272OUVM, nfs: using supplied cofactor: 10248676553738569300776452705584020492781578407779991068520847927459662043248118987972621192600835409290942054284974845015331280198884970314651679476723223974436121
03/27/20 09:07:46 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing snfs on c164: 10248676553738569300776452705584020492781578407779991068520847927459662043248118987972621192600835409290942054284974845015331280198884970314651679476723223974436121
03/27/20 09:07:48 v1.34.5 @ DESKTOP-272OUVM, test: fb generation took 2.2182 seconds
03/27/20 09:07:48 v1.34.5 @ DESKTOP-272OUVM, test: commencing test sieving of polynomial 0 on the rational side over range 18000000-18002000
skew: 1.5540
c5: 16
c0: 145
Y1: -1
Y0: 50000000000000000000000000000000000000000
m: 50000000000000000000000000000000000000000
rlim: 18000000
alim: 18000000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
03/27/20 09:10:45 v1.34.5 @ DESKTOP-272OUVM, nfs: parsing special-q from .dat file
03/27/20 09:10:45 v1.34.5 @ DESKTOP-272OUVM, test: new best estimated total sieving time = 1 day 15h 21m 27s (with 8 threads)
03/27/20 09:10:47 v1.34.5 @ DESKTOP-272OUVM, test: fb generation took 2.2807 seconds
03/27/20 09:10:47 v1.34.5 @ DESKTOP-272OUVM, test: commencing test sieving of polynomial 1 on the rational side over range 18000000-18002000
skew: 3.1080
c5: 1
c0: 290
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
rlim: 18000000
alim: 18000000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
03/27/20 09:13:37 v1.34.5 @ DESKTOP-272OUVM, nfs: parsing special-q from .dat file
03/27/20 09:13:37 v1.34.5 @ DESKTOP-272OUVM, test: new best estimated total sieving time = 1 day 13h 55m 19s (with 8 threads)
03/27/20 09:13:40 v1.34.5 @ DESKTOP-272OUVM, test: fb generation took 3.4054 seconds
03/27/20 09:13:40 v1.34.5 @ DESKTOP-272OUVM, test: commencing test sieving of polynomial 2 on the algebraic side over range 18000000-18002000
skew: 1.0000
c6: 1
c0: 29
Y1: -1
Y0: 10000000000000000000000000000000000
m: 10000000000000000000000000000000000
rlim: 18000000
alim: 18000000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
03/27/20 09:15:56 v1.34.5 @ DESKTOP-272OUVM, nfs: parsing special-q from .dat file
03/27/20 09:15:56 v1.34.5 @ DESKTOP-272OUVM, test: estimated total sieving time = 1 day 20h 36m 49s (with 8 threads)
03/27/20 09:15:56 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 09:31:59 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 09:48:24 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 10:01:50 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 10:13:05 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 10:24:20 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 10:35:39 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 10:47:00 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 10:58:38 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 11:09:57 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 11:21:33 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 11:32:38 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 11:43:44 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 11:54:59 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 12:06:26 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 12:17:55 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 12:29:21 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 12:40:36 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 12:52:10 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 13:03:42 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 13:15:16 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 13:27:10 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 13:38:46 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 13:49:58 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 14:01:38 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 14:13:01 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 14:24:23 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 14:35:47 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 14:47:14 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 14:58:38 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 15:10:03 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 15:21:48 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 15:33:10 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 15:44:44 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 15:56:04 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 16:07:41 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 16:19:12 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 16:31:09 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 16:42:57 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 16:54:23 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 17:06:13 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 17:17:45 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 17:29:33 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 17:41:44 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 17:53:26 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 18:04:47 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 18:16:23 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 18:28:05 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 18:39:48 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 18:51:32 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 19:03:06 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 19:14:31 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 19:26:06 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 19:38:09 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 19:49:58 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 20:01:38 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 20:13:18 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 20:25:08 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 20:36:51 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 20:48:38 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 21:00:39 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 21:12:24 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 21:24:03 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 21:36:02 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 21:47:41 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 21:59:11 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 22:10:54 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 22:23:16 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 22:35:24 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 22:47:19 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 22:59:16 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 23:10:59 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 23:22:45 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 23:34:34 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 23:46:11 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/27/20 23:57:56 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 00:10:02 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 00:21:41 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 00:33:55 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 00:45:43 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 00:57:15 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 01:08:59 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 01:20:53 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 01:32:41 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 01:45:02 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 01:56:41 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 02:08:44 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 02:20:36 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 02:32:33 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 02:44:22 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 02:56:14 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 03:08:35 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 03:20:12 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 03:32:34 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 03:44:52 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 03:57:01 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 04:08:53 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 04:20:51 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 04:33:12 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 04:45:23 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 04:57:31 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 05:09:28 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 05:21:21 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 05:33:22 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 05:45:39 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 05:57:50 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 06:10:13 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 06:22:55 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 06:35:03 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 06:47:07 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 06:58:50 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 07:10:42 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 07:23:07 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 07:35:28 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 07:47:17 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 07:59:10 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 08:11:33 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 08:23:37 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 08:35:47 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 08:47:33 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 08:59:31 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 09:11:33 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 09:23:34 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 09:35:31 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 09:47:43 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 09:59:53 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 10:11:48 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 10:24:22 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 10:36:04 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 10:48:11 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 11:00:36 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 11:12:46 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 11:24:35 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 11:36:48 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 11:48:44 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 12:00:48 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 12:12:52 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 12:25:10 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 12:37:17 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing msieve filtering
03/28/20 12:40:49 v1.34.5 @ DESKTOP-272OUVM, nfs: raising min_rels by 5.00 percent to 22081362
03/28/20 12:40:49 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 12:52:47 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 13:04:44 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 13:16:49 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 13:28:51 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 13:41:00 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 13:52:55 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 14:04:46 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 14:16:57 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing msieve filtering
03/28/20 14:20:41 v1.34.5 @ DESKTOP-272OUVM, nfs: raising min_rels by 5.00 percent to 23276748
03/28/20 14:20:41 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 14:32:52 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 14:44:41 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 14:56:37 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 15:08:27 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 15:20:18 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 15:32:11 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 15:44:03 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 15:55:51 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing msieve filtering
03/28/20 15:59:44 v1.34.5 @ DESKTOP-272OUVM, nfs: raising min_rels by 5.00 percent to 24466843
03/28/20 15:59:44 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 16:11:27 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 16:23:35 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 16:35:20 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 16:47:21 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 16:59:12 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 17:11:25 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 17:23:14 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 17:35:25 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 17:47:28 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing msieve filtering
03/28/20 17:51:33 v1.34.5 @ DESKTOP-272OUVM, nfs: raising min_rels by 5.00 percent to 25790363
03/28/20 17:51:33 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 18:03:41 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 18:16:02 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 18:27:38 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 18:39:36 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 18:51:25 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 19:03:29 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 19:15:28 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 19:27:21 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing lattice sieving with 8 threads
03/28/20 19:39:47 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing msieve filtering
03/28/20 19:45:38 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing msieve linear algebra
03/28/20 22:42:02 v1.34.5 @ DESKTOP-272OUVM, nfs: commencing msieve sqrt
03/28/20 22:47:50 v1.34.5 @ DESKTOP-272OUVM, prp78 = 231882153586982691175865265556599762434558248877216041843769974170511836444859
03/28/20 22:47:50 v1.34.5 @ DESKTOP-272OUVM, prp86 = 44197780619171830308710611005835852722049057060460108631286921484414554757428861468219
03/28/20 22:47:51 v1.34.5 @ DESKTOP-272OUVM, NFS elapsed time = 135604.6794 seconds.
03/28/20 22:47:51 v1.34.5 @ DESKTOP-272OUVM, 
03/28/20 22:47:51 v1.34.5 @ DESKTOP-272OUVM, 
03/28/20 22:47:51 v1.34.5 @ DESKTOP-272OUVM, Total factoring time = 142257.6396 seconds

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e61320300Serge BatalovDecember 20, 2014 21:21:18 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 18 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:23 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 23 秒 (日本時間)
720Dmitry DomanovNovember 22, 2016 10:27:50 UTC 2016 年 11 月 22 日 (火) 19 時 27 分 50 秒 (日本時間)
4511e6400 / 4183Dmitry DomanovJanuary 17, 2017 23:04:40 UTC 2017 年 1 月 18 日 (水) 8 時 4 分 40 秒 (日本時間)

10207+293

c204

name 名前Bob Backstrom
date 日付August 13, 2017 02:55:28 UTC 2017 年 8 月 13 日 (日) 11 時 55 分 28 秒 (日本時間)
composite number 合成数
807102502017756255044390637610976594027441485068603712671509281678773204196933010492332526230831315577078288942695722356739305891848264729620661824051654560129136400322841000807102502017756255044390637611<204>
prime factors 素因数
770720810118067309812213238463969743925362453138024166599<57>
1047204761337786644233334452159341850575923826724755436296039370091356378580717930689537008393379734549374447047534800227102306655329304501096209789<148>
factorization results 素因数分解の結果
Number: n
N=807102502017756255044390637610976594027441485068603712671509281678773204196933010492332526230831315577078288942695722356739305891848264729620661824051654560129136400322841000807102502017756255044390637611
  ( 204 digits)
SNFS difficulty: 207 digits.
Divisors found:

Sun Aug 13 08:57:15 2017  prp57 factor: 770720810118067309812213238463969743925362453138024166599
Sun Aug 13 08:57:15 2017  prp148 factor: 1047204761337786644233334452159341850575923826724755436296039370091356378580717930689537008393379734549374447047534800227102306655329304501096209789
Sun Aug 13 08:57:15 2017  elapsed time 06:07:19 (Msieve 1.44 - dependency 2)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=3.823).
Factorization parameters were as follows:
#
# 10^207+29 3(205)43
#
n: 807102502017756255044390637610976594027441485068603712671509281678773204196933010492332526230831315577078288942695722356739305891848264729620661824051654560129136400322841000807102502017756255044390637611
m: 100000000000000000000000000000000000000000
deg: 5
c5: 100
c0: 29
skew: 0.78
# Murphy_E = 7.265e-12
type: snfs
lss: 1
rlim: 19700000
alim: 19700000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19700000/19700000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 9850000)
Primes: RFBsize:1252693, AFBsize:1252715,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 11134266 hash collisions in 67680291 relations (58865475 unique)
Msieve: matrix is 2361595 x 2361820 (667.8 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 5hrs 42min 5sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 0sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,19700000,19700000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:30 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 30 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:50 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 50 秒 (日本時間)

10208+293

c176

composite cofactor 合成数の残り
42107892293671539537731236775407569155603386204978616364416383202108320021149515802187566343889894926394425581525999316320613017141013662402809316331822999283194292081276903131<176>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:21:19 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 19 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:24 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 24 秒 (日本時間)
4511e6498 / 4342CypJune 30, 2015 19:50:02 UTC 2015 年 7 月 1 日 (水) 4 時 50 分 2 秒 (日本時間)

10209+293

c193

name 名前Bob Backstrom
date 日付July 4, 2021 08:49:06 UTC 2021 年 7 月 4 日 (日) 17 時 49 分 6 秒 (日本時間)
composite number 合成数
7718963595308654723552619650366463649320346102766257760765915078931150874712603935097312095955907198622688000657084097997688497979417941529540697235381760293344636151478920395878252822285524681<193>
prime factors 素因数
10875820454068809645747348422438458096437885159621254104847387089<65>
709736210514662660165044336263384288153387047009530414782823869686846561429463928673902787965481387750226420069715041612896471929<129>
factorization results 素因数分解の結果
Number: n
N=7718963595308654723552619650366463649320346102766257760765915078931150874712603935097312095955907198622688000657084097997688497979417941529540697235381760293344636151478920395878252822285524681
  ( 193 digits)
SNFS difficulty: 209 digits.
Divisors found:

Sun Jul  4 18:39:53 2021  p65 factor: 10875820454068809645747348422438458096437885159621254104847387089
Sun Jul  4 18:39:53 2021  p129 factor: 709736210514662660165044336263384288153387047009530414782823869686846561429463928673902787965481387750226420069715041612896471929
Sun Jul  4 18:39:53 2021  elapsed time 03:15:16 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 10^209+29 = 3(207)43
#
n: 7718963595308654723552619650366463649320346102766257760765915078931150874712603935097312095955907198622688000657084097997688497979417941529540697235381760293344636151478920395878252822285524681
m: 500000000000000000000000000000000000000000
deg: 5
c5: 16
c0: 145
skew: 1.55
# Murphy_E = 5.831e-12
type: snfs
lss: 1
rlim: 22000000
alim: 22000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 22000000/22000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 45400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8715198 hash collisions in 59223295 relations (52660696 unique)
Msieve: matrix is 2798195 x 2798420 (979.1 MB)

Sieving start time : 2021/07/04 00:19:38
Sieving end time  : 2021/07/04 15:23:23

Total sieving time: 15hrs 3min 45secs.

Total relation processing time: 2hrs 45min 9sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 14min 10sec.

Prototype def-par.txt line would be:
snfs,209,5,0,0,0,0,0,0,0,0,22000000,22000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117292] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239972K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2736K init, 4964K bss, 487264K reserved, 0K cma-reserved)
[    0.153499] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.03 BogoMIPS (lpj=12798064)
[    0.152047] smpboot: Total of 16 processors activated (102384.51 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e61320300Serge BatalovDecember 20, 2014 21:21:19 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 19 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:24 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 24 秒 (日本時間)
720Dmitry DomanovNovember 22, 2016 10:29:14 UTC 2016 年 11 月 22 日 (火) 19 時 29 分 14 秒 (日本時間)
4511e6400 / 4183Dmitry DomanovJanuary 17, 2017 23:05:10 UTC 2017 年 1 月 18 日 (水) 8 時 5 分 10 秒 (日本時間)

10210+293

c187

name 名前Serge Batalov
date 日付December 21, 2014 01:55:01 UTC 2014 年 12 月 21 日 (日) 10 時 55 分 1 秒 (日本時間)
composite number 合成数
1562398289527158219179837462024073199682526093589499758845552240999162272249997394245730740013076988998792165474870939166183096901452761038003484557569619948010775080962080093794969906089<187>
prime factors 素因数
82790816918759665415293282439260547<35>
composite cofactor 合成数の残り
18871637552028220328686039020420898959310799561976191668725248344327401288168992583007403950782203974146594070958237560483427659924107946097399476095587<152>
factorization results 素因数分解の結果
Input number is 1562398289527158219179837462024073199682526093589499758845552240999162272249997394245730740013076988998792165474870939166183096901452761038003484557569619948010775080962080093794969906089 (187 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2249283975
Step 1 took 13702ms
Step 2 took 9413ms
********** Factor found in step 2: 82790816918759665415293282439260547
Found probable prime factor of 35 digits: 82790816918759665415293282439260547
Composite cofactor 18871637552028220328686039020420898959310799561976191668725248344327401288168992583007403950782203974146594070958237560483427659924107946097399476095587 has 152 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 20, 2014 21:21:19 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 19 秒 (日本時間)
4511e6585 / 4409329CypJanuary 7, 2015 08:02:42 UTC 2015 年 1 月 7 日 (水) 17 時 2 分 42 秒 (日本時間)
256CypFebruary 4, 2015 01:10:44 UTC 2015 年 2 月 4 日 (水) 10 時 10 分 44 秒 (日本時間)

10211+293

c191

composite cofactor 合成数の残り
25060505855260821682358109244356490724926666826654918010938079126985771329322960857747732747787653078580538281143693699175011931341210236516285412119952975942938093972245582396520381734021477<191>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:21:20 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 20 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:24 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 24 秒 (日本時間)
4511e6498 / 4342CypJuly 7, 2015 05:28:43 UTC 2015 年 7 月 7 日 (火) 14 時 28 分 43 秒 (日本時間)

10213+293

c204

composite cofactor 合成数の残り
253452159136753949474472764756992874267821161426326448192137268278166843865589383775528033173767128017800271582555198010679145389804616566651137120626823564999071823977199723575241301681636649900393212751<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e62950300Serge BatalovDecember 20, 2014 21:21:20 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 20 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:25 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 25 秒 (日本時間)
2350Ignacio SantosSeptember 13, 2023 06:25:27 UTC 2023 年 9 月 13 日 (水) 15 時 25 分 27 秒 (日本時間)

10216+293

c202

name 名前ebina
date 日付September 13, 2021 09:10:55 UTC 2021 年 9 月 13 日 (月) 18 時 10 分 55 秒 (日本時間)
composite number 合成数
6287085071539519550929714932832346854996827517846389912710625941659560442270429798760420546804284121162361957945627468087177848250403263746858500544182078478119987797567832020641694172463728403849879287<202>
prime factors 素因数
311912034679826044077040551545740035384931239265879361862493389649717463<72>
20156596644285100562002761608303627680712233394112981412828037133141383880316240335282817816018436928768427818894141294911100737249<131>
factorization results 素因数分解の結果
Number: 1589
N = 6287085071539519550929714932832346854996827517846389912710625941659560442270429798760420546804284121162361957945627468087177848250403263746858500544182078478119987797567832020641694172463728403849879287 (202 digits)
SNFS difficulty: 217 digits.
Divisors found:
Version: Msieve v. 1.53 (SVN unknown)
Total time: 82.82 hours.
Factorization parameters were as follows:
n: 6287085071539519550929714932832346854996827517846389912710625941659560442270429798760420546804284121162361957945627468087177848250403263746858500544182078478119987797567832020641694172463728403849879287
m: 10000000000000000000000000000000000000000000
c5: 10
c0: 29
type: snfs

Factor base limits: 29000000/29000000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [0, 0)
Total raw relations: 50145409
Relations: 6929504 relations
Pruned matrix : 4620722 x 4620947
Polynomial selection time: 0.00 hours.
Total sieving time: 78.05 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 4.30 hours.
time per square root: 0.19 hours.
Prototype def-par.txt line would be: snfs,217,5,0,0,0,0,0,0,0,0,29000000,29000000,29,29,58,58,2.6,2.6,100000
total time: 82.82 hours.
Intel64 Family 6 Model 158 Stepping 12, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 16, speed: 3.60GHz

Mon Apr 15 05:41:57 2019  Msieve v. 1.53 (SVN unknown)
Mon Apr 15 05:41:57 2019  random seeds: f418d95c a913024a
Mon Apr 15 05:41:57 2019  factoring 6287085071539519550929714932832346854996827517846389912710625941659560442270429798760420546804284121162361957945627468087177848250403263746858500544182078478119987797567832020641694172463728403849879287 (202 digits)
Mon Apr 15 05:41:58 2019  searching for 15-digit factors
Mon Apr 15 05:41:58 2019  commencing number field sieve (202-digit input)
Mon Apr 15 05:41:58 2019  R0: -10000000000000000000000000000000000000000000
Mon Apr 15 05:41:58 2019  R1: 1
Mon Apr 15 05:41:58 2019  A0: 29
Mon Apr 15 05:41:58 2019  A1: 0
Mon Apr 15 05:41:58 2019  A2: 0
Mon Apr 15 05:41:58 2019  A3: 0
Mon Apr 15 05:41:58 2019  A4: 0
Mon Apr 15 05:41:58 2019  A5: 10
Mon Apr 15 05:41:58 2019  skew 1.24, size 5.423e-15, alpha 1.172, combined = 3.122e-12 rroots = 1
Mon Apr 15 05:41:58 2019  
Mon Apr 15 05:41:58 2019  commencing square root phase
Mon Apr 15 05:41:58 2019  reading relations for dependency 1
Mon Apr 15 05:41:59 2019  read 2310151 cycles
Mon Apr 15 05:42:02 2019  cycles contain 6929088 unique relations
Mon Apr 15 05:42:52 2019  read 6929088 relations
Mon Apr 15 05:43:15 2019  multiplying 6929088 relations
Mon Apr 15 05:45:13 2019  multiply complete, coefficients have about 192.74 million bits
Mon Apr 15 05:45:14 2019  initial square root is modulo 8258891
Mon Apr 15 05:47:45 2019  GCD is N, no factor found
Mon Apr 15 05:47:45 2019  reading relations for dependency 2
Mon Apr 15 05:47:46 2019  read 2312052 cycles
Mon Apr 15 05:47:48 2019  cycles contain 6929504 unique relations
Mon Apr 15 05:48:33 2019  read 6929504 relations
Mon Apr 15 05:48:55 2019  multiplying 6929504 relations
Mon Apr 15 05:50:41 2019  multiply complete, coefficients have about 192.74 million bits
Mon Apr 15 05:50:42 2019  initial square root is modulo 8262691
Mon Apr 15 05:53:38 2019  sqrtTime: 700
Mon Apr 15 05:53:38 2019  p72 factor: 311912034679826044077040551545740035384931239265879361862493389649717463
Mon Apr 15 05:53:38 2019  p131 factor: 20156596644285100562002761608303627680712233394112981412828037133141383880316240335282817816018436928768427818894141294911100737249
Mon Apr 15 05:53:38 2019  elapsed time 00:11:41
Mon Apr 15 05:53:38 2019 -> Computing 1.55528e+09 scale for this machine...
Mon Apr 15 05:53:38 2019 -> procrels -speedtest> PIPE
Mon Apr 15 05:53:42 2019 -> Factorization summary written to s217-1589.txt

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:21:21 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 21 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:25 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 25 秒 (日本時間)
4511e6498 / 4342CypMay 16, 2015 07:20:42 UTC 2015 年 5 月 16 日 (土) 16 時 20 分 42 秒 (日本時間)

10217+293

c207

name 名前Serge Batalov
date 日付December 21, 2014 01:55:05 UTC 2014 年 12 月 21 日 (日) 10 時 55 分 5 秒 (日本時間)
composite number 合成数
325247162525467106111971891116076283772498979663792657941255378295332667873150395384782782174498897743854882084360455294194846845240016862219274050974900611451001914580464617379391359077627127616799085794521<207>
prime factors 素因数
623411203778481636718719416962088743<36>
composite cofactor 合成数の残り
521721715224479742518071602459075738622030515129609750252100819235241807581335050035675570795988421475983580516525549727170246221936600032625873436052066879340819699125247<171>
factorization results 素因数分解の結果
Input number is 325247162525467106111971891116076283772498979663792657941255378295332667873150395384782782174498897743854882084360455294194846845240016862219274050974900611451001914580464617379391359077627127616799085794521 (207 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=76761404
Step 1 took 16031ms
Step 2 took 10516ms
********** Factor found in step 2: 623411203778481636718719416962088743
Found probable prime factor of 36 digits: 623411203778481636718719416962088743
Composite cofactor 521721715224479742518071602459075738622030515129609750252100819235241807581335050035675570795988421475983580516525549727170246221936600032625873436052066879340819699125247 has 171 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e61100300Serge BatalovDecember 20, 2014 21:21:21 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 21 秒 (日本時間)
800Dmitry DomanovNovember 22, 2016 11:25:55 UTC 2016 年 11 月 22 日 (火) 20 時 25 分 55 秒 (日本時間)
4511e6400 / 4232Dmitry DomanovJanuary 17, 2017 23:05:42 UTC 2017 年 1 月 18 日 (水) 8 時 5 分 42 秒 (日本時間)

10218+293

c203

composite cofactor 合成数の残り
55560281195123173357502277687074621266252768243495045198775185358697325319447417455597153174509735344521271276498146044950347694492982485622230375745781646972324171339083139210818381296961766459280429959<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:21:21 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 21 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:26 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 26 秒 (日本時間)
4511e6498 / 4342CypJune 21, 2015 08:04:23 UTC 2015 年 6 月 21 日 (日) 17 時 4 分 23 秒 (日本時間)

10220+293

c172

name 名前Erik Branger
date 日付January 28, 2018 21:12:38 UTC 2018 年 1 月 29 日 (月) 6 時 12 分 38 秒 (日本時間)
composite number 合成数
5496539649962714335899060475810397120447313414796926897528393603895120762614761295089457377424592275467626958109167963172960615298748254820299046950577796200788316053334593<172>
prime factors 素因数
383204580978675072642482256155191256443417501104471093376794642036222193<72>
14343616759290753158650287275792903732685174746713238132647930850733593258533819699624380068253406801<101>
factorization results 素因数分解の結果
Number: 33343_220
N = 5496539649962714335899060475810397120447313414796926897528393603895120762614761295089457377424592275467626958109167963172960615298748254820299046950577796200788316053334593 (172 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=383204580978675072642482256155191256443417501104471093376794642036222193 (pp72)
r2=14343616759290753158650287275792903732685174746713238132647930850733593258533819699624380068253406801 (pp101)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 72.87 hours.
Factorization parameters were as follows:
n: 5496539649962714335899060475810397120447313414796926897528393603895120762614761295089457377424592275467626958109167963172960615298748254820299046950577796200788316053334593
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 1
c0: 29
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 67108864
lpbr: 29
lpba: 27
mfbr: 58
mfba: 54
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 4
Number of threads per core: 1
Factor base limits: 536870912/67108864
Large primes per side: 3
Large prime bits: 29/27
Total raw relations: 31403597
Relations: 7521348 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 37.29 hours.
Total relation processing time: 0.43 hours.
Pruned matrix : 6495365 x 6495613
Matrix solve time: 34.77 hours.
time per square root: 0.38 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,67108864,29,27,58,54,2.8,2.8,100000
total time: 72.87 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.16299-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e61400300Serge BatalovDecember 20, 2014 21:21:22 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 22 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:26 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 26 秒 (日本時間)
800Dmitry DomanovNovember 22, 2016 11:26:30 UTC 2016 年 11 月 22 日 (火) 20 時 26 分 30 秒 (日本時間)
4511e6400 / 4166Dmitry DomanovJanuary 17, 2017 23:06:10 UTC 2017 年 1 月 18 日 (水) 8 時 6 分 10 秒 (日本時間)

10221+293

c204

name 名前Serge Batalov
date 日付December 21, 2014 01:55:08 UTC 2014 年 12 月 21 日 (日) 10 時 55 分 8 秒 (日本時間)
composite number 合成数
482336336913295625716703734793474547083305008053840597548201696368158558260176785440458224044974996971290441016828267598845941289026791316517333874203511918297230260257973612344484518132957426709706545819<204>
prime factors 素因数
4031616499627806476229179633174255231<37>
composite cofactor 合成数の残り
119638446999565628547244163018692458838136099065190124595003608416267447731547044692224943629778981124449551327100981069532318315050067830677808429165369928943084504549<168>
factorization results 素因数分解の結果
Input number is 482336336913295625716703734793474547083305008053840597548201696368158558260176785440458224044974996971290441016828267598845941289026791316517333874203511918297230260257973612344484518132957426709706545819 (204 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=845886487
Step 1 took 16100ms
********** Factor found in step 1: 4031616499627806476229179633174255231
Found probable prime factor of 37 digits: 4031616499627806476229179633174255231
Composite cofactor 119638446999565628547244163018692458838136099065190124595003608416267447731547044692224943629778981124449551327100981069532318315050067830677808429165369928943084504549 has 168 digits

c168

name 名前Cyp
date 日付May 10, 2015 18:58:12 UTC 2015 年 5 月 11 日 (月) 3 時 58 分 12 秒 (日本時間)
composite number 合成数
119638446999565628547244163018692458838136099065190124595003608416267447731547044692224943629778981124449551327100981069532318315050067830677808429165369928943084504549<168>
prime factors 素因数
29682948799632398970693015093911401<35>
4030544532726723595134933060388113090926344320731635547121436377379348641465215897650690994423821993435367890843609535230220593585949<133>
factorization results 素因数分解の結果
Run 235 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3844553659
Step 1 took 50869ms
Step 2 took 17214ms
********** Factor found in step 2: 29682948799632398970693015093911401
Found probable prime factor of 35 digits: 29682948799632398970693015093911401
Probable prime cofactor 4030544532726723595134933060388113090926344320731635547121436377379348641465215897650690994423821993435367890843609535230220593585949 has 133 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 1507Serge BatalovDecember 20, 2014 21:21:22 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 22 秒 (日本時間)
4511e6235 / 4409CypMay 10, 2015 18:58:12 UTC 2015 年 5 月 11 日 (月) 3 時 58 分 12 秒 (日本時間)

10222+293

c199

name 名前Erik Branger
date 日付September 19, 2019 16:53:08 UTC 2019 年 9 月 20 日 (金) 1 時 53 分 8 秒 (日本時間)
composite number 合成数
4580323039883596022998122892948454078056748416886426768642118992592047579873071259930642804757033457640738415154530147684644876721859141388595377996643768188157406701953235675437626053143172966084221<199>
prime factors 素因数
215363048002115846873263683926693333476474705378242552148141442501252710645447686601<84>
21267915189603911861162748061304693811664772848370118977230648536332873050497429827023509655480522179983917499705621<116>
factorization results 素因数分解の結果
Number: 33343_222
N = 4580323039883596022998122892948454078056748416886426768642118992592047579873071259930642804757033457640738415154530147684644876721859141388595377996643768188157406701953235675437626053143172966084221 (199 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=215363048002115846873263683926693333476474705378242552148141442501252710645447686601 (pp84)
r2=21267915189603911861162748061304693811664772848370118977230648536332873050497429827023509655480522179983917499705621 (pp116)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 113.25 hours.
Factorization parameters were as follows:
n: 4580323039883596022998122892948454078056748416886426768642118992592047579873071259930642804757033457640738415154530147684644876721859141388595377996643768188157406701953235675437626053143172966084221
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 100
c0: 29
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 22369622
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/22369622
Large primes per side: 3
Large prime bits: 29/28
Relations: 8662274 relations
Pruned matrix : 7468056 x 7468282
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 57.69 hours.
Total relation processing time: 0.45 hours.
Matrix solve time: 54.08 hours.
time per square root: 1.04 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,22369622,29,28,58,56,2.8,2.8,100000
total time: 113.25 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6280CypDecember 21, 2014 08:37:07 UTC 2014 年 12 月 21 日 (日) 17 時 37 分 7 秒 (日本時間)
4511e6591 / 4413CypMay 14, 2015 08:49:56 UTC 2015 年 5 月 14 日 (木) 17 時 49 分 56 秒 (日本時間)

10224+293

c189

name 名前Serge Batalov
date 日付December 21, 2014 01:55:12 UTC 2014 年 12 月 21 日 (日) 10 時 55 分 12 秒 (日本時間)
composite number 合成数
668773848555508996366143254072235716218526711118877195332460084451602954122638419090910763409170927330855129065309664155450767878211235226128519043473881703630095831703491989029899514231101<189>
prime factors 素因数
860872742815824552251366693<27>
776855643457846977431883746169220640588992322614625317979631585808747782248347420522775148833753049559251702483427028608715568823220718849650934096055464759987257<162>
factorization results 素因数分解の結果
Input number is 668773848555508996366143254072235716218526711118877195332460084451602954122638419090910763409170927330855129065309664155450767878211235226128519043473881703630095831703491989029899514231101 (189 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2085858738
Step 1 took 13709ms
Step 2 took 9416ms
********** Factor found in step 2: 860872742815824552251366693
Found probable prime factor of 27 digits: 860872742815824552251366693
Probable prime cofactor 776855643457846977431883746169220640588992322614625317979631585808747782248347420522775148833753049559251702483427028608715568823220718849650934096055464759987257 has 162 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:21:23 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 23 秒 (日本時間)

10225+293

c217

name 名前Serge Batalov
date 日付December 21, 2014 01:55:16 UTC 2014 年 12 月 21 日 (日) 10 時 55 分 16 秒 (日本時間)
composite number 合成数
1242447554241803107877445872781617812504418842379633112865860378586914872601285247139100813892976986552718024426586008561778158238411240963736401198749679801075499130909799479190088744388428158067512579877776383710207<217>
prime factors 素因数
1246153898832420325237828452811977200990453<43>
composite cofactor 合成数の残り
997025772985110535407307166914811286894324242183278460716155684644357570868442631726089377204886251482029701259786212681599631172723756199462216414560336654112039195804717219<174>
factorization results 素因数分解の結果
Input number is 1242447554241803107877445872781617812504418842379633112865860378586914872601285247139100813892976986552718024426586008561778158238411240963736401198749679801075499130909799479190088744388428158067512579877776383710207 (217 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1455237460
Step 1 took 18349ms
Step 2 took 11259ms
********** Factor found in step 2: 1246153898832420325237828452811977200990453
Found probable prime factor of 43 digits: 1246153898832420325237828452811977200990453
Composite cofactor 997025772985110535407307166914811286894324242183278460716155684644357570868442631726089377204886251482029701259786212681599631172723756199462216414560336654112039195804717219 has 174 digits

c174

name 名前Dmitry Domanov
date 日付January 18, 2017 06:10:12 UTC 2017 年 1 月 18 日 (水) 15 時 10 分 12 秒 (日本時間)
composite number 合成数
997025772985110535407307166914811286894324242183278460716155684644357570868442631726089377204886251482029701259786212681599631172723756199462216414560336654112039195804717219<174>
prime factors 素因数
142494843679838952312425737711261781<36>
6996925272785683819788160461400224675614481887996142002304821216906892237103474563238206475963140400006572709038292981672328927135628958999<139>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3869486860
Step 1 took 73246ms
Step 2 took 23231ms
********** Factor found in step 2: 142494843679838952312425737711261781
Found probable prime factor of 36 digits: 142494843679838952312425737711261781

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e61020300Serge BatalovDecember 20, 2014 21:21:23 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 23 秒 (日本時間)
720Dmitry DomanovNovember 22, 2016 12:22:36 UTC 2016 年 11 月 22 日 (火) 21 時 22 分 36 秒 (日本時間)
4511e6400 / 4250Dmitry DomanovJanuary 17, 2017 23:06:37 UTC 2017 年 1 月 18 日 (水) 8 時 6 分 37 秒 (日本時間)

10227+293

c203

name 名前Serge Batalov
date 日付December 21, 2014 01:55:19 UTC 2014 年 12 月 21 日 (日) 10 時 55 分 19 秒 (日本時間)
composite number 合成数
22625547593634682492540972957501713127908313056856936622173480984759111932780581557087918621615700277356830204771842566936323109037754648130698489674842847081123794383798149518829623240567810138836424849<203>
prime factors 素因数
2794910605046102242171708028591<31>
composite cofactor 合成数の残り
8095267001665504980537849118813942367167990347162018265891493906734828853977533986848905819253027963646405324634590086427759359840323171773743355285594937050321002753307839<172>
factorization results 素因数分解の結果
Input number is 22625547593634682492540972957501713127908313056856936622173480984759111932780581557087918621615700277356830204771842566936323109037754648130698489674842847081123794383798149518829623240567810138836424849 (203 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3483753909
Step 1 took 15996ms
Step 2 took 10539ms
********** Factor found in step 2: 2794910605046102242171708028591
Found probable prime factor of 31 digits: 2794910605046102242171708028591
Composite cofactor 8095267001665504980537849118813942367167990347162018265891493906734828853977533986848905819253027963646405324634590086427759359840323171773743355285594937050321002753307839 has 172 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 20, 2014 21:21:24 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 24 秒 (日本時間)
4511e6585 / 4409329CypDecember 29, 2014 02:27:02 UTC 2014 年 12 月 29 日 (月) 11 時 27 分 2 秒 (日本時間)
256CypJune 11, 2015 19:47:09 UTC 2015 年 6 月 12 日 (金) 4 時 47 分 9 秒 (日本時間)

10228+293

c185

composite cofactor 合成数の残り
58299738732336788096746586364667257929171970299124554752723115579793051779598757321392781838757242426419635600541245631579560714422114624824370470836455681733695672567037379616377929823<185>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:21:24 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 24 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:26 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 26 秒 (日本時間)
4511e6498 / 4342CypJuly 1, 2015 05:25:14 UTC 2015 年 7 月 1 日 (水) 14 時 25 分 14 秒 (日本時間)

10229+293

c200

composite cofactor 合成数の残り
21362541749620128963113366385971153109425047140227997145136017749915313457221990003000992402302877397101983532069836802715776788907384900471319606843058239756794549852347660285481802359910267116576953<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:21:25 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 25 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:27 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 27 秒 (日本時間)
4511e6498 / 4342CypMay 18, 2015 17:36:19 UTC 2015 年 5 月 19 日 (火) 2 時 36 分 19 秒 (日本時間)

10230+293

c176

name 名前Serge Batalov
date 日付December 21, 2014 01:55:23 UTC 2014 年 12 月 21 日 (日) 10 時 55 分 23 秒 (日本時間)
composite number 合成数
66413822560437121347383629368964941331507456224242326519568440993477731785942929505945019834880888019316017216525320255770846380394262933802413416318404149159260047468596612037<176>
prime factors 素因数
566582777711356877277839472099526869558233<42>
composite cofactor 合成数の残り
117218216248484971290934346363098112579580946100073240124407872926635915112026775470951633213544841639729150205208605087491943075082189<135>
factorization results 素因数分解の結果
Input number is 66413822560437121347383629368964941331507456224242326519568440993477731785942929505945019834880888019316017216525320255770846380394262933802413416318404149159260047468596612037 (176 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2013354117
Step 1 took 14069ms
Step 2 took 9189ms
********** Factor found in step 2: 566582777711356877277839472099526869558233
Found probable prime factor of 42 digits: 566582777711356877277839472099526869558233
Composite cofactor 117218216248484971290934346363098112579580946100073240124407872926635915112026775470951633213544841639729150205208605087491943075082189 has 135 digits

c135

name 名前Erik Branger
date 日付March 18, 2015 22:35:30 UTC 2015 年 3 月 19 日 (木) 7 時 35 分 30 秒 (日本時間)
composite number 合成数
117218216248484971290934346363098112579580946100073240124407872926635915112026775470951633213544841639729150205208605087491943075082189<135>
prime factors 素因数
39326540953214650221077557579381112459969<41>
2980638861371896475331192835569950958641848805025168049935522414384173523441852147077494586381<94>
factorization results 素因数分解の結果
Number: 33343_230
N = 117218216248484971290934346363098112579580946100073240124407872926635915112026775470951633213544841639729150205208605087491943075082189 (135 digits)
Divisors found:
r1=39326540953214650221077557579381112459969 (pp41)
r2=2980638861371896475331192835569950958641848805025168049935522414384173523441852147077494586381 (pp94)
Version: Msieve v. 1.52 (SVN 958)
Total time: 95.77 hours.
Factorization parameters were as follows:
# Murphy_E = 4.263e-11, selected by Erik Branger
# expecting poly E from 4.71e-011 to > 5.41e-011
n: 117218216248484971290934346363098112579580946100073240124407872926635915112026775470951633213544841639729150205208605087491943075082189
Y0: -118389557820514306654003211
Y1: 53942814432889
c0: -51779704685433443127525134836843200
c1: 99359527248841608004625512464
c2: 280980774099910664620550
c3: 8745773011965553
c4: -61652965932
c5: 5040
skew: 2108623.35
type: gnfs
# selected mechanically
rlim: 12600000
alim: 12600000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 12600000/12600000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 20759976
Relations: 3216696 relations
Pruned matrix : 1919736 x 1919966
Polynomial selection time: 0.00 hours.
Total sieving time: 93.61 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.54 hours.
time per square root: 0.52 hours.
Prototype def-par.txt line would be: gnfs,134,5,65,2000,1e-05,0.28,250,20,50000,3600,12600000,12600000,28,28,54,54,2.6,2.6,100000
total time: 95.77 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:21:25 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 25 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:27 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 27 秒 (日本時間)
4511e6498 / 4342CypJanuary 24, 2015 10:12:06 UTC 2015 年 1 月 24 日 (土) 19 時 12 分 6 秒 (日本時間)

10231+293

c188

composite cofactor 合成数の残り
55446649087670849020641913716893148130757830322634866736317387457921027671213754038592356913283817799735624544918444223527579092063447532602249553377510575501131883727384715414624637385353<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:21:25 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 25 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:28 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 28 秒 (日本時間)
4511e6498 / 4342CypMay 15, 2015 16:45:05 UTC 2015 年 5 月 16 日 (土) 1 時 45 分 5 秒 (日本時間)

10233+293

c193

name 名前Cyp
date 日付June 5, 2015 04:00:14 UTC 2015 年 6 月 5 日 (金) 13 時 0 分 14 秒 (日本時間)
composite number 合成数
1674672895710215768651843793030588000192962156418638034234541809469401423488840099140679747681947606533705722867842605333759410058010503382959673684411983614793385820051161194207929344661087411<193>
prime factors 素因数
305010399748516043610124896558726520717<39>
composite cofactor 合成数の残り
5490543591598841855222625715463383716196092033280578510076685935491881620577634302497103074446989867002704308250928357190710045340468784052641747150398783<154>
factorization results 素因数分解の結果
Run 71 out of 498:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4164195962
Step 1 took 59624ms
Step 2 took 19483ms
********** Factor found in step 2: 305010399748516043610124896558726520717
Found probable prime factor of 39 digits: 305010399748516043610124896558726520717
Composite cofactor 5490543591598841855222625715463383716196092033280578510076685935491881620577634302497103074446989867002704308250928357190710045340468784052641747150398783 has 154 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:21:26 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 26 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:28 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 28 秒 (日本時間)
4511e64498498CypJune 5, 2015 04:00:13 UTC 2015 年 6 月 5 日 (金) 13 時 0 分 13 秒 (日本時間)
400Serge BatalovJune 23, 2015 21:29:42 UTC 2015 年 6 月 24 日 (水) 6 時 29 分 42 秒 (日本時間)
400Dmitry DomanovMarch 1, 2016 13:13:42 UTC 2016 年 3 月 1 日 (火) 22 時 13 分 42 秒 (日本時間)
3200Lionel DebrouxJanuary 3, 2018 15:43:37 UTC 2018 年 1 月 4 日 (木) 0 時 43 分 37 秒 (日本時間)
5043e6114545000yoyo@HomeOctober 13, 2022 22:21:31 UTC 2022 年 10 月 14 日 (金) 7 時 21 分 31 秒 (日本時間)
6454Ignacio SantosMarch 19, 2024 16:26:45 UTC 2024 年 3 月 20 日 (水) 1 時 26 分 45 秒 (日本時間)

10234+293

c226

name 名前Serge Batalov
date 日付December 21, 2014 00:42:00 UTC 2014 年 12 月 21 日 (日) 9 時 42 分 0 秒 (日本時間)
composite number 合成数
1293166841878488656204033940079327224984752043463213411519183400106585138807940416323917644602430292672248235975916283161551830366904938993800303406166675319892589096573509655959776707484792652134965500759209847282388479881123<226>
prime factors 素因数
57729537005393358199141294372085225419459<41>
22400436742766100428504917383106482686399433641447124635619458592282796011896008330863576542040518762551146547193520178600876021981570752430126170057543864872012567298804128288898990497<185>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2241305236
Step 1 took 18074ms
Step 2 took 11566ms
********** Factor found in step 2: 57729537005393358199141294372085225419459
Found probable prime factor of 41 digits: 57729537005393358199141294372085225419459
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:21:27 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 27 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:28 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 28 秒 (日本時間)

10237+293

c228

composite cofactor 合成数の残り
531475296546965616014890262599111260525115546223919385121220562440992523377194698072383796496595310522299869824108043332416076063281821785621714675821405182130852165571857584134172401233297567012334319771148310473754384762211657<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:21:27 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 27 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:29 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 29 秒 (日本時間)
4511e6498 / 4342CypJune 28, 2015 12:08:16 UTC 2015 年 6 月 28 日 (日) 21 時 8 分 16 秒 (日本時間)

10238+293

c194

composite cofactor 合成数の残り
30714266752999825292784728982605182000263660193775688687173617184892196622820575709700865813781219602428091183795530932180400991576240231044866944485349080481641900399025237773853477391161900737<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e61320300Serge BatalovDecember 20, 2014 21:21:27 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 27 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:29 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 29 秒 (日本時間)
720Dmitry DomanovNovember 22, 2016 12:23:41 UTC 2016 年 11 月 22 日 (火) 21 時 23 分 41 秒 (日本時間)
4511e6400 / 4183Dmitry DomanovJanuary 17, 2017 23:07:04 UTC 2017 年 1 月 18 日 (水) 8 時 7 分 4 秒 (日本時間)

10239+293

c239

name 名前NFS@Home + Greg Childers
date 日付March 12, 2022 02:53:01 UTC 2022 年 3 月 12 日 (土) 11 時 53 分 1 秒 (日本時間)
composite number 合成数
33333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333343<239>
prime factors 素因数
450788028181117444543764834660801966284640034517065320920602316278236140544051807109503752593612818448996891840182293<117>
73944584260211717943566796423949871699060792164976229768609835834849831163961511712044267664173491543531496069947417714851<122>
factorization results 素因数分解の結果
p117 factor: 450788028181117444543764834660801966284640034517065320920602316278236140544051807109503752593612818448996891840182293
p122 factor: 73944584260211717943566796423949871699060792164976229768609835834849831163961511712044267664173491543531496069947417714851

Complete log at: https://pastebin.com/QbJDgLif
software ソフトウェア
GGNFS + Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:50 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 50 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:03:04 UTC 2014 年 12 月 20 日 (土) 10 時 3 分 4 秒 (日本時間)
4511e630002000Serge BatalovDecember 20, 2014 04:02:04 UTC 2014 年 12 月 20 日 (土) 13 時 2 分 4 秒 (日本時間)
1000Serge BatalovDecember 21, 2014 10:24:55 UTC 2014 年 12 月 21 日 (日) 19 時 24 分 55 秒 (日本時間)
5043e625002000Serge BatalovDecember 21, 2014 12:18:40 UTC 2014 年 12 月 21 日 (日) 21 時 18 分 40 秒 (日本時間)
500Serge BatalovJanuary 11, 2015 01:24:47 UTC 2015 年 1 月 11 日 (日) 10 時 24 分 47 秒 (日本時間)
5511e78000 / 16670yoyo@HomeMay 14, 2020 12:25:01 UTC 2020 年 5 月 14 日 (木) 21 時 25 分 1 秒 (日本時間)

10240+293

c157

name 名前Serge Batalov
date 日付December 20, 2014 01:09:20 UTC 2014 年 12 月 20 日 (土) 10 時 9 分 20 秒 (日本時間)
composite number 合成数
3208129077713217401760573523841608738962647830516820445886158245932053506046491381965486640819280515439297453869405096264951895367497529952206113133991158129<157>
prime factors 素因数
117867375018036442404991475339828125435907<42>
composite cofactor 合成数の残り
27218126111846465044058715943637640509552169962149700236489786382780701201339375752295813982313881597921333977831547<116>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3229518676
Step 1 took 10988ms
Step 2 took 8058ms
********** Factor found in step 2: 117867375018036442404991475339828125435907
Found probable prime factor of 42 digits: 117867375018036442404991475339828125435907
Composite cofactor 

c116

name 名前Cyp
date 日付December 21, 2014 23:32:09 UTC 2014 年 12 月 22 日 (月) 8 時 32 分 9 秒 (日本時間)
composite number 合成数
27218126111846465044058715943637640509552169962149700236489786382780701201339375752295813982313881597921333977831547<116>
prime factors 素因数
377940410135755955777665659283444911919951621<45>
72016977761308274486587498280376607757764494589273131258605369051726207<71>
factorization results 素因数分解の結果
12/21/14 19:03:06 v1.34.3, 
12/21/14 19:03:06 v1.34.3, ****************************
12/21/14 19:03:06 v1.34.3, Starting factorization of 27218126111846465044058715943637640509552169962149700236489786382780701201339375752295813982313881597921333977831547
12/21/14 19:03:06 v1.34.3, using pretesting plan: none
12/21/14 19:03:06 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/21/14 19:03:06 v1.34.3, ****************************
12/21/14 19:03:06 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C116
12/21/14 19:03:06 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C116
12/21/14 19:03:06 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C116
12/21/14 19:03:06 v1.34.3, final ECM pretested depth: 0.00
12/21/14 19:03:06 v1.34.3, scheduler: switching to sieve method
12/21/14 19:03:06 v1.34.3, nfs: commencing nfs on c116: 27218126111846465044058715943637640509552169962149700236489786382780701201339375752295813982313881597921333977831547
12/21/14 19:03:06 v1.34.3, nfs: commencing poly selection with 8 threads
12/21/14 19:03:06 v1.34.3, nfs: setting deadline of 956 seconds
12/21/14 19:18:48 v1.34.3, nfs: completed 68 ranges of size 250 in 941.6589 seconds
12/21/14 19:18:48 v1.34.3, nfs: best poly = # norm 4.841527e-11 alpha -6.608726 e 4.663e-10 rroots 3
12/21/14 19:18:48 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 19:28:56 v1.34.3, nfs: commencing lattice sieving with 8 threads
[24 lines snipped]
12/21/14 23:42:23 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 23:52:52 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/22/14 00:01:50 v1.34.3, nfs: commencing msieve filtering
12/22/14 00:04:57 v1.34.3, nfs: commencing msieve linear algebra
12/22/14 00:24:43 v1.34.3, nfs: commencing msieve sqrt
12/22/14 00:32:08 v1.34.3, prp45 = 377940410135755955777665659283444911919951621
12/22/14 00:32:08 v1.34.3, prp71 = 72016977761308274486587498280376607757764494589273131258605369051726207
12/22/14 00:32:08 v1.34.3, NFS elapsed time = 19742.0219 seconds.
12/22/14 00:32:08 v1.34.3, 
12/22/14 00:32:08 v1.34.3, 
12/22/14 00:32:08 v1.34.3, Total factoring time = 19742.0994 seconds
--
Mon Dec 22 00:01:50 2014  
Mon Dec 22 00:01:50 2014  commencing relation filtering
Mon Dec 22 00:01:50 2014  estimated available RAM is 15987.3 MB
Mon Dec 22 00:01:50 2014  commencing duplicate removal, pass 1
Mon Dec 22 00:02:28 2014  found 1043557 hash collisions in 10092627 relations
Mon Dec 22 00:02:45 2014  added 62612 free relations
Mon Dec 22 00:02:45 2014  commencing duplicate removal, pass 2
Mon Dec 22 00:02:58 2014  found 481376 duplicates and 9673863 unique relations
Mon Dec 22 00:02:58 2014  memory use: 41.3 MB
Mon Dec 22 00:02:58 2014  reading ideals above 100000
Mon Dec 22 00:02:58 2014  commencing singleton removal, initial pass
Mon Dec 22 00:04:16 2014  memory use: 344.5 MB
Mon Dec 22 00:04:16 2014  reading all ideals from disk
Mon Dec 22 00:04:16 2014  memory use: 336.1 MB
Mon Dec 22 00:04:16 2014  keeping 10628052 ideals with weight <= 200, target excess is 49722
Mon Dec 22 00:04:17 2014  commencing in-memory singleton removal
Mon Dec 22 00:04:18 2014  begin with 9673863 relations and 10628052 unique ideals
Mon Dec 22 00:04:25 2014  reduce to 3448528 relations and 3234327 ideals in 18 passes
Mon Dec 22 00:04:25 2014  max relations containing the same ideal: 101
Mon Dec 22 00:04:27 2014  removing 635823 relations and 557561 ideals in 78262 cliques
Mon Dec 22 00:04:27 2014  commencing in-memory singleton removal
Mon Dec 22 00:04:27 2014  begin with 2812705 relations and 3234327 unique ideals
Mon Dec 22 00:04:30 2014  reduce to 2713214 relations and 2574123 ideals in 11 passes
Mon Dec 22 00:04:30 2014  max relations containing the same ideal: 86
Mon Dec 22 00:04:30 2014  removing 474199 relations and 395937 ideals in 78262 cliques
Mon Dec 22 00:04:31 2014  commencing in-memory singleton removal
Mon Dec 22 00:04:31 2014  begin with 2239015 relations and 2574123 unique ideals
Mon Dec 22 00:04:32 2014  reduce to 2166865 relations and 2103704 ideals in 10 passes
Mon Dec 22 00:04:32 2014  max relations containing the same ideal: 78
Mon Dec 22 00:04:34 2014  relations with 0 large ideals: 151
Mon Dec 22 00:04:34 2014  relations with 1 large ideals: 510
Mon Dec 22 00:04:34 2014  relations with 2 large ideals: 8420
Mon Dec 22 00:04:34 2014  relations with 3 large ideals: 63262
Mon Dec 22 00:04:34 2014  relations with 4 large ideals: 244565
Mon Dec 22 00:04:34 2014  relations with 5 large ideals: 525213
Mon Dec 22 00:04:34 2014  relations with 6 large ideals: 648142
Mon Dec 22 00:04:34 2014  relations with 7+ large ideals: 676602
Mon Dec 22 00:04:34 2014  commencing 2-way merge
Mon Dec 22 00:04:35 2014  reduce to 1209115 relation sets and 1145954 unique ideals
Mon Dec 22 00:04:35 2014  commencing full merge
Mon Dec 22 00:04:50 2014  memory use: 128.3 MB
Mon Dec 22 00:04:51 2014  found 595717 cycles, need 584154
Mon Dec 22 00:04:51 2014  weight of 584154 cycles is about 40925327 (70.06/cycle)
Mon Dec 22 00:04:51 2014  distribution of cycle lengths:
Mon Dec 22 00:04:51 2014  1 relations: 68180
Mon Dec 22 00:04:51 2014  2 relations: 65212
Mon Dec 22 00:04:51 2014  3 relations: 64886
Mon Dec 22 00:04:51 2014  4 relations: 58774
Mon Dec 22 00:04:51 2014  5 relations: 53081
Mon Dec 22 00:04:51 2014  6 relations: 45696
Mon Dec 22 00:04:51 2014  7 relations: 41401
Mon Dec 22 00:04:51 2014  8 relations: 35651
Mon Dec 22 00:04:51 2014  9 relations: 30094
Mon Dec 22 00:04:51 2014  10+ relations: 121179
Mon Dec 22 00:04:51 2014  heaviest cycle: 21 relations
Mon Dec 22 00:04:51 2014  commencing cycle optimization
Mon Dec 22 00:04:52 2014  start with 3562831 relations
Mon Dec 22 00:04:56 2014  pruned 69833 relations
Mon Dec 22 00:04:56 2014  memory use: 121.5 MB
Mon Dec 22 00:04:56 2014  distribution of cycle lengths:
Mon Dec 22 00:04:56 2014  1 relations: 68180
Mon Dec 22 00:04:56 2014  2 relations: 66560
Mon Dec 22 00:04:56 2014  3 relations: 66757
Mon Dec 22 00:04:56 2014  4 relations: 59809
Mon Dec 22 00:04:56 2014  5 relations: 54000
Mon Dec 22 00:04:56 2014  6 relations: 46277
Mon Dec 22 00:04:56 2014  7 relations: 41718
Mon Dec 22 00:04:56 2014  8 relations: 35631
Mon Dec 22 00:04:56 2014  9 relations: 30140
Mon Dec 22 00:04:56 2014  10+ relations: 115082
Mon Dec 22 00:04:56 2014  heaviest cycle: 21 relations
Mon Dec 22 00:04:57 2014  RelProcTime: 187
Mon Dec 22 00:04:57 2014  
Mon Dec 22 00:04:57 2014  commencing linear algebra
Mon Dec 22 00:04:57 2014  read 584154 cycles
Mon Dec 22 00:04:58 2014  cycles contain 2060171 unique relations
Mon Dec 22 00:05:16 2014  read 2060171 relations
Mon Dec 22 00:05:18 2014  using 20 quadratic characters above 134215724
Mon Dec 22 00:05:28 2014  building initial matrix
Mon Dec 22 00:05:49 2014  memory use: 258.7 MB
Mon Dec 22 00:05:49 2014  read 584154 cycles
Mon Dec 22 00:05:49 2014  matrix is 583973 x 584154 (177.5 MB) with weight 56617081 (96.92/col)
Mon Dec 22 00:05:49 2014  sparse part has weight 39528649 (67.67/col)
Mon Dec 22 00:05:54 2014  filtering completed in 2 passes
Mon Dec 22 00:05:54 2014  matrix is 582112 x 582289 (177.3 MB) with weight 56533693 (97.09/col)
Mon Dec 22 00:05:54 2014  sparse part has weight 39501850 (67.84/col)
Mon Dec 22 00:05:56 2014  matrix starts at (0, 0)
Mon Dec 22 00:05:56 2014  matrix is 582112 x 582289 (177.3 MB) with weight 56533693 (97.09/col)
Mon Dec 22 00:05:56 2014  sparse part has weight 39501850 (67.84/col)
Mon Dec 22 00:05:56 2014  saving the first 48 matrix rows for later
Mon Dec 22 00:05:56 2014  matrix includes 64 packed rows
Mon Dec 22 00:05:56 2014  matrix is 582064 x 582289 (171.5 MB) with weight 45264742 (77.74/col)
Mon Dec 22 00:05:56 2014  sparse part has weight 39131748 (67.20/col)
Mon Dec 22 00:05:56 2014  using block size 65536 for processor cache size 8192 kB
Mon Dec 22 00:05:59 2014  commencing Lanczos iteration (8 threads)
Mon Dec 22 00:05:59 2014  memory use: 162.6 MB
Mon Dec 22 00:06:04 2014  linear algebra at 0.5%, ETA 0h15m
Mon Dec 22 00:24:42 2014  lanczos halted after 9208 iterations (dim = 582064)
Mon Dec 22 00:24:43 2014  recovered 34 nontrivial dependencies
Mon Dec 22 00:24:43 2014  BLanczosTime: 1186
Mon Dec 22 00:24:43 2014  
Mon Dec 22 00:24:43 2014  commencing square root phase
Mon Dec 22 00:24:43 2014  reading relations for dependency 1
Mon Dec 22 00:24:43 2014  read 291282 cycles
Mon Dec 22 00:24:44 2014  cycles contain 1030284 unique relations
Mon Dec 22 00:24:57 2014  read 1030284 relations
Mon Dec 22 00:25:02 2014  multiplying 1030284 relations
Mon Dec 22 00:25:59 2014  multiply complete, coefficients have about 41.60 million bits
Mon Dec 22 00:25:59 2014  initial square root is modulo 938537
Mon Dec 22 00:27:09 2014  GCD is 1, no factor found
Mon Dec 22 00:27:09 2014  reading relations for dependency 2
Mon Dec 22 00:27:09 2014  read 291147 cycles
Mon Dec 22 00:27:09 2014  cycles contain 1030116 unique relations
Mon Dec 22 00:27:25 2014  read 1030116 relations
Mon Dec 22 00:27:28 2014  multiplying 1030116 relations
Mon Dec 22 00:28:24 2014  multiply complete, coefficients have about 41.59 million bits
Mon Dec 22 00:28:24 2014  initial square root is modulo 935603
Mon Dec 22 00:29:36 2014  GCD is N, no factor found
Mon Dec 22 00:29:36 2014  reading relations for dependency 3
Mon Dec 22 00:29:37 2014  read 290704 cycles
Mon Dec 22 00:29:37 2014  cycles contain 1028998 unique relations
Mon Dec 22 00:29:51 2014  read 1028998 relations
Mon Dec 22 00:29:56 2014  multiplying 1028998 relations
Mon Dec 22 00:30:55 2014  multiply complete, coefficients have about 41.55 million bits
Mon Dec 22 00:30:55 2014  initial square root is modulo 922627
Mon Dec 22 00:32:08 2014  sqrtTime: 445
--
n: 27218126111846465044058715943637640509552169962149700236489786382780701201339375752295813982313881597921333977831547
skew: 320483.65
c0: 655846190476401198167888044440
c1: 8335968462553930983780564
c2: 26560139206858658938
c3: -135418869344521
c4: -432790718
c5: 852
Y0: -31687215648748903004633
Y1: 254251514729
rlim: 4700000
alim: 4700000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:00 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:21 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 21 秒 (日本時間)

10242+293

c163

name 名前yoyo
date 日付July 5, 2022 21:50:51 UTC 2022 年 7 月 6 日 (水) 6 時 50 分 51 秒 (日本時間)
composite number 合成数
1382624527702017229514234770830306988031321085525357898763724394017701249483256582325023153360916050185653017301758103662461991629005238244005440349168767766214041<163>
prime factors 素因数
23024365191634900400611076580605535767002150016431<50>
60050495038375503247440508219681561101690207318469967807889363250848331292864154158712718415157030297399153984311<113>
factorization results 素因数分解の結果
GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 1382624527702017229514234770830306988031321085525357898763724394017701249483256582325023153360916050185653017301758103662461991629005238244005440349168767766214041 (163 digits)
[Tue Jul 05 10:17:23 2022]
Using MODMULN [mulredc:0, sqrredc:0]
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=0:13623520705220293126
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35    40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+07 3.6e+08
Writing checkpoint to checkpnt at p = 110000000
Step 1 took 265109ms
Using 20 small primes for NTT
Estimated memory usage: 472.20MB
Initializing tables of differences for F took 140ms
Computing roots of F took 9485ms
Building F from its roots took 4234ms
Computing 1/F took 1656ms
Initializing table of differences for G took 125ms
Computing roots of G took 7765ms
Building G from its roots took 4047ms
Computing roots of G took 7515ms
Building G from its roots took 3766ms
Computing G * H took 969ms
Reducing  G * H mod F took 1000ms
Computing roots of G took 8265ms
Building G from its roots took 3938ms
Computing G * H took 859ms
Reducing  G * H mod F took 985ms
Computing roots of G took 8609ms
Building G from its roots took 4109ms
Computing G * H took 984ms
Reducing  G * H mod F took 1062ms
Computing polyeval(F,G) took 8078ms
Computing product of all F(g_i) took 47ms
Step 2 took 78234ms
********** Factor found in step 2: 23024365191634900400611076580605535767002150016431
Found prime factor of 50 digits: 23024365191634900400611076580605535767002150016431
Prime cofactor 60050495038375503247440508219681561101690207318469967807889363250848331292864154158712718415157030297399153984311 has 113 digits
Peak memory usage: 618MB
software ソフトウェア
GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc]

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:01 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 1 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:21 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 21 秒 (日本時間)
4511e61496Ignacio SantosJanuary 18, 2016 17:54:26 UTC 2016 年 1 月 19 日 (火) 2 時 54 分 26 秒 (日本時間)
5043e6700 / 7123100Serge BatalovJune 19, 2015 22:55:31 UTC 2015 年 6 月 20 日 (土) 7 時 55 分 31 秒 (日本時間)
600Serge BatalovJune 21, 2015 17:45:23 UTC 2015 年 6 月 22 日 (月) 2 時 45 分 23 秒 (日本時間)

10243+293

c208

composite cofactor 合成数の残り
1597918188724850384344660968089207577505777049780923957226953224058130812781600694454430097685924853440481755487050533666737825047088031356391986015228706282040762423765882021565204103500493640308166848908179<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:21:28 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 28 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:29 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 29 秒 (日本時間)
4511e6498 / 4342CypMay 31, 2015 07:34:21 UTC 2015 年 5 月 31 日 (日) 16 時 34 分 21 秒 (日本時間)

10244+293

c239

composite cofactor 合成数の残り
88293204072082571804448211621151519967508100901473613575963058123416240651957018868257710204045594610582823440079817056481162644911221183305520974050627323214932146672670604543568281549369145056904970024457217527966872389832154619058971031<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:55 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 55 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:03:08 UTC 2014 年 12 月 20 日 (土) 10 時 3 分 8 秒 (日本時間)
4511e61000 / 3916Serge BatalovDecember 21, 2014 10:25:01 UTC 2014 年 12 月 21 日 (日) 19 時 25 分 1 秒 (日本時間)

10245+293

c213

name 名前Cyp
date 日付January 24, 2015 20:13:10 UTC 2015 年 1 月 25 日 (日) 5 時 13 分 10 秒 (日本時間)
composite number 合成数
604005829727366001229717200494229147940319167875240164491961276626703304920680810441103594122995157050230232910287838326970922169956329500790773105756270454821965116460088731341134188904075730064488598852213117489<213>
prime factors 素因数
59038028649529533379432418359853337763<38>
65285649896747189504636321527602638442391<41>
composite cofactor 合成数の残り
156708138292395389726324784481179396265562231211868914887210202689001830949630394937224033056257961483325252514010558257117325164469533<135>
factorization results 素因数分解の結果
Run 189 out of 498:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=620308133
Step 1 took 81873ms
Step 2 took 23133ms
********** Factor found in step 2: 59038028649529533379432418359853337763
Found probable prime factor of 38 digits: 59038028649529533379432418359853337763
Composite cofactor 10230792652528367369100490214593413932470482678073354421073514651239347786027743834918910163176024817841310091299839447381703045859226938074636711484789959910393078262895173403 has 176 digits
--
Run 192 out of 498:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3264933159
Step 1 took 59441ms
Step 2 took 18523ms
********** Factor found in step 2: 65285649896747189504636321527602638442391
Found probable prime factor of 41 digits: 65285649896747189504636321527602638442391
Composite cofactor 156708138292395389726324784481179396265562231211868914887210202689001830949630394937224033056257961483325252514010558257117325164469533 has 135 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

c135

name 名前Erik Branger
date 日付March 21, 2015 09:22:30 UTC 2015 年 3 月 21 日 (土) 18 時 22 分 30 秒 (日本時間)
composite number 合成数
156708138292395389726324784481179396265562231211868914887210202689001830949630394937224033056257961483325252514010558257117325164469533<135>
prime factors 素因数
50717662124732580203603755590820458519130158824210077626913<59>
3089813917427718325354997566356715464568228438675809747470865579920713679741<76>
factorization results 素因数分解の結果
Number: 33343_245
N = 156708138292395389726324784481179396265562231211868914887210202689001830949630394937224033056257961483325252514010558257117325164469533 (135 digits)
Divisors found:
r1=50717662124732580203603755590820458519130158824210077626913 (pp59)
r2=3089813917427718325354997566356715464568228438675809747470865579920713679741 (pp76)
Version: Msieve v. 1.52 (SVN 958)
Total time: 74.85 hours.
Factorization parameters were as follows:
# Murphy_E = 4.602e-11, selected by Erik Branger
# expecting poly E from 4.62e-011 to > 5.32e-011
n: 156708138292395389726324784481179396265562231211868914887210202689001830949630394937224033056257961483325252514010558257117325164469533
Y0: -105695223755888760508536446
Y1: 60158421278423
c0: -3893930084795838640173354006119385
c1: 46589300564019306644188782922
c2: 178546353842674285221116
c3: 30619511264814718
c4: -81794856531
c5: 11880
skew: 1382054.76
type: gnfs
# selected mechanically
rlim: 12700000
alim: 12700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 12700000/12700000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 20080143
Relations: 2943686 relations
Pruned matrix : 1766741 x 1766967
Polynomial selection time: 0.00 hours.
Total sieving time: 73.43 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.17 hours.
time per square root: 0.16 hours.
Prototype def-par.txt line would be: gnfs,134,5,65,2000,1e-05,0.28,250,20,50000,3600,12700000,12700000,28,28,54,54,2.6,2.6,100000
total time: 74.85 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:21:28 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 28 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:30 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 30 秒 (日本時間)
4511e6498 / 4342CypJanuary 24, 2015 20:13:09 UTC 2015 年 1 月 25 日 (日) 5 時 13 分 9 秒 (日本時間)

10247+293

c229

name 名前Cyp
date 日付June 25, 2015 07:54:48 UTC 2015 年 6 月 25 日 (木) 16 時 54 分 48 秒 (日本時間)
composite number 合成数
3920450808514275455347678901242559818355705641180212615967483525382326610005065500971735573914794195241451162372274898525079691265255097565814395351652575500795158817977884573292569928894289183283916758182352327132357952175896577<229>
prime factors 素因数
85299359679545091874096587923005009<35>
composite cofactor 合成数の残り
45961081340384377487096365517982741943548216879475525920028986361417128361966617857000555912741517169411970197522426867598418116546735706468986748707526132851563426414264148547805267127646347953<194>
factorization results 素因数分解の結果
Run 60 out of 498:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3863641634
Step 1 took 80444ms
Step 2 took 23855ms
********** Factor found in step 2: 85299359679545091874096587923005009
Found probable prime factor of 35 digits: 85299359679545091874096587923005009
Composite cofactor 45961081340384377487096365517982741943548216879475525920028986361417128361966617857000555912741517169411970197522426867598418116546735706468986748707526132851563426414264148547805267127646347953 has 194 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:21:29 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 29 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:30 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 30 秒 (日本時間)
4511e6498 / 4342CypJune 25, 2015 07:54:47 UTC 2015 年 6 月 25 日 (木) 16 時 54 分 47 秒 (日本時間)

10249+293

c239

composite cofactor 合成数の残り
11848634027838008506878533893658701050382495457306612447763811810108675351034752441563719971945866460439418856495564038373155218866483543082196010924663944115336645478379924074285622284862622441057821096099732300442842401759458274778173383<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e62220300Serge BatalovDecember 20, 2014 21:21:29 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 29 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:30 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 30 秒 (日本時間)
1620Youcef LemsaferFebruary 21, 2021 11:19:46 UTC 2021 年 2 月 21 日 (日) 20 時 19 分 46 秒 (日本時間)
4511e6300 / 3984Youcef LemsaferFebruary 21, 2021 18:34:29 UTC 2021 年 2 月 22 日 (月) 3 時 34 分 29 秒 (日本時間)

10250+293

c236

name 名前Serge Batalov
date 日付December 21, 2014 01:55:30 UTC 2014 年 12 月 21 日 (日) 10 時 55 分 30 秒 (日本時間)
composite number 合成数
57216943306452135560545920178942481069387771605810797895576891942104712265369255622330984453845066430423384088671479690422820684394308430966475492016752333523269798259418383072222280567535050564997525523886504178409768293814684114434939<236>
prime factors 素因数
381614010025148959069152039572221<33>
composite cofactor 合成数の残り
149934074230349796813423200969015525178230044262400077893974931205316963586994333470033100319371885744541702887683259150650420531430025478265057877447227022066938573195903636967740021953254106665706175959<204>
factorization results 素因数分解の結果
Input number is 57216943306452135560545920178942481069387771605810797895576891942104712265369255622330984453845066430423384088671479690422820684394308430966475492016752333523269798259418383072222280567535050564997525523886504178409768293814684114434939 (236 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=897813127
Step 1 took 21256ms
Step 2 took 12498ms
********** Factor found in step 2: 381614010025148959069152039572221
Found probable prime factor of 33 digits: 381614010025148959069152039572221
Composite cofactor 149934074230349796813423200969015525178230044262400077893974931205316963586994333470033100319371885744541702887683259150650420531430025478265057877447227022066938573195903636967740021953254106665706175959 has 204 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 20, 2014 21:21:29 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 29 秒 (日本時間)
4511e6929 / 2655329CypJanuary 7, 2015 14:36:29 UTC 2015 年 1 月 7 日 (水) 23 時 36 分 29 秒 (日本時間)
600Dmitry DomanovApril 21, 2015 11:02:50 UTC 2015 年 4 月 21 日 (火) 20 時 2 分 50 秒 (日本時間)
5043e6500 / 7333Dmitry DomanovJune 22, 2015 22:56:36 UTC 2015 年 6 月 23 日 (火) 7 時 56 分 36 秒 (日本時間)

10251+293

c225

composite cofactor 合成数の残り
252754999251572127567004909605867695901468188764055579519580104953553578075974389516067436021404029277377955700619773096480808648244804334630612791695720838295604173209757495485714587620588921456613458557567820713400074695257<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferFebruary 22, 2021 11:04:53 UTC 2021 年 2 月 22 日 (月) 20 時 4 分 53 秒 (日本時間)
4511e6300 / 4081Youcef LemsaferFebruary 22, 2021 11:04:53 UTC 2021 年 2 月 22 日 (月) 20 時 4 分 53 秒 (日本時間)

10253+293

c238

name 名前Youcef Lemsafer
date 日付February 22, 2021 11:16:30 UTC 2021 年 2 月 22 日 (月) 20 時 16 分 30 秒 (日本時間)
composite number 合成数
2390901671366000043068772041382479877679694887513059445529205298314325775829529885872597660216202081780496730528593099798447967336028961107928598405217067182616042697693782906506531440741182800653437824026151567045853089112403547577609621<238>
prime factors 素因数
4076348810371482834969814450489856314260754801<46>
composite cofactor 合成数の残り
586530197141817739252575254190933949316906456746749006844255298196602373419608399582206023482172939638067812279230795258230632630625763161374307224443053545007264972205785879271771805711518821<192>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.1] [ECM]
Tuned for default
Running on ip-*-*-*-*.ec2.internal
Input number is (10^253+29)/(3*13*441619*242843189) (238 digits)
[Mon Feb 22 07:27:20 2021]
Using MODMULN [mulredc:0, sqrredc:0]
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:17727142423652005997
dF=16384, k=2, d=158340, d2=11, i0=8
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
324     2351    20272   201449  2247436 2.8e+07 3.9e+08 6e+09   1.1e+11 7.4e+15
Step 1 took 37195ms
Using 28 small primes for NTT
Estimated memory usage: 78.19MB
Initializing tables of differences for F took 29ms
Computing roots of F took 763ms
Building F from its roots took 1153ms
Computing 1/F took 645ms
Initializing table of differences for G took 24ms
Computing roots of G took 685ms
Building G from its roots took 1192ms
Computing roots of G took 685ms
Building G from its roots took 1207ms
Computing G * H took 358ms
Reducing  G * H mod F took 371ms
Computing polyeval(F,G) took 2306ms
Computing product of all F(g_i) took 19ms
Step 2 took 9467ms
********** Factor found in step 2: 4076348810371482834969814450489856314260754801
Found prime factor of 46 digits: 4076348810371482834969814450489856314260754801
Composite cofactor ((10^253+29)/(3*13*441619*242843189))/4076348810371482834969814450489856314260754801 has 192 digits
execution environment 実行環境
Amazon Linux Graviton2, t4g.micro

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferFebruary 22, 2021 15:56:05 UTC 2021 年 2 月 23 日 (火) 0 時 56 分 5 秒 (日本時間)
4511e6300 / 4081Youcef LemsaferFebruary 23, 2021 09:08:32 UTC 2021 年 2 月 23 日 (火) 18 時 8 分 32 秒 (日本時間)

10255+293

c227

name 名前Youcef Lemsafer
date 日付February 23, 2021 09:13:43 UTC 2021 年 2 月 23 日 (火) 18 時 13 分 43 秒 (日本時間)
composite number 合成数
54113531483781212910897667153241026532298655958669111922836529666847927831334657005128859154160610620932220175098480565781599789578749025610403042106207990540977461598220666953650571567625389937828727086245009786910236916746371<227>
prime factors 素因数
3201512909731686433917285612348804833<37>
16902487358177287365565617312508786591180254619428948084061928224888033302673759115558482006588358520388431061922454729082487984573308323654802847968889642912381588206367310652939946506172387<191>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.1] [ECM]
Tuned for default
Running on ip-*-*-*-*.ec2.internal
Input number is (10^255+29)/(3*7^2*53*113*577*22859*99173*16047078727) (227 digits)
[Tue Feb 23 01:03:28 2021]
Using MODMULN [mulredc:0, sqrredc:0]
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:3812195292629336215
dF=16384, k=2, d=158340, d2=11, i0=8
Expected number of curves to find a factor of n digits:
35    40      45      50      55      60      65      70      75      80
324     2351    20272   201449  2247436 2.8e+07 3.9e+08 6e+09   1.1e+11 7.4e+15
Step 1 took 32095ms
Using 27 small primes for NTT
Estimated memory usage: 73.74MB
Initializing tables of differences for F took 26ms
Computing roots of F took 662ms
Building F from its roots took 1090ms
Computing 1/F took 620ms
Initializing table of differences for G took 21ms
Computing roots of G took 593ms
Building G from its roots took 1136ms
Computing roots of G took 591ms
Building G from its roots took 1136ms
Computing G * H took 338ms
Reducing  G * H mod F took 362ms
Computing polyeval(F,G) took 2122ms
Computing product of all F(g_i) took 16ms
Step 2 took 8746ms
********** Factor found in step 2: 3201512909731686433917285612348804833
Found prime factor of 37 digits: 3201512909731686433917285612348804833
Prime cofactor ((10^255+29)/(3*7^2*53*113*577*22859*99173*16047078727))/3201512909731686433917285612348804833 has 191 digits
execution environment 実行環境
Amazon Linux Graviton2, t4g.micro

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6753 / 2104Youcef LemsaferFebruary 23, 2021 09:12:06 UTC 2021 年 2 月 23 日 (火) 18 時 12 分 6 秒 (日本時間)

10256+293

c253

composite cofactor 合成数の残り
1480823337775803346660743373315563453280023693173404412853546571893973049015252480379090774470605656745150303568784244039686065452391529690507922404857100547904634977047238264475048126758477713608766474159632755812231600770028135643417740263586554124093<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferFebruary 25, 2021 11:31:19 UTC 2021 年 2 月 25 日 (木) 20 時 31 分 19 秒 (日本時間)
4511e6300 / 4081Youcef LemsaferFebruary 25, 2021 11:31:19 UTC 2021 年 2 月 25 日 (木) 20 時 31 分 19 秒 (日本時間)

10258+293

c219

composite cofactor 合成数の残り
207325040287008824020102280445267604263983270517972942003420270082566606167097407819699307147774019611881140006699852260107328913457434844407460025540674032972132097661616455927350617308982082757142688852945260390951469<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferFebruary 25, 2021 11:30:32 UTC 2021 年 2 月 25 日 (木) 20 時 30 分 32 秒 (日本時間)
4511e6300 / 4081Youcef LemsaferFebruary 25, 2021 11:30:32 UTC 2021 年 2 月 25 日 (木) 20 時 30 分 32 秒 (日本時間)

10259+293

c186

composite cofactor 合成数の残り
233535617418607292037208229613326673998459878406246527310707216491850131330958665125986980340807239963242402380661696289793297470359158954854130684898090938956858342186405534890838187799<186>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6800Dmitry DomanovNovember 22, 2016 13:13:00 UTC 2016 年 11 月 22 日 (火) 22 時 13 分 0 秒 (日本時間)
4511e6400 / 4262Dmitry DomanovJanuary 17, 2017 23:07:45 UTC 2017 年 1 月 18 日 (水) 8 時 7 分 45 秒 (日本時間)

10261+293

c181

composite cofactor 合成数の残り
2356851623264762919086394941545582457672916506326786391854308611317019208697351975342367789734390006589345044333660545464140129893656238981574445155869410047021963250500481614709293<181>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6800Dmitry DomanovNovember 22, 2016 13:13:25 UTC 2016 年 11 月 22 日 (火) 22 時 13 分 25 秒 (日本時間)
4511e6400 / 4262Dmitry DomanovJanuary 17, 2017 23:08:02 UTC 2017 年 1 月 18 日 (水) 8 時 8 分 2 秒 (日本時間)

10262+293

c258

name 名前Youcef Lemsafer
date 日付February 24, 2021 19:18:50 UTC 2021 年 2 月 25 日 (木) 4 時 18 分 50 秒 (日本時間)
composite number 合成数
348784486066059781660911722646576680269261623242998151442223849883157197167869973143594572913396812109797356213595619266855010289142338948763558996895818074012067943217885668445467545603571553137316452164207736039900945205957239022008301070768372222803529699<258>
prime factors 素因数
311603650333927599921114483116089177<36>
composite cofactor 合成数の残り
1119320924810372509107328445244565227398383591015800458503451273007559102667969103902175690022121436177442746004755449821086241384059669197570961707703566875635914044840045453987881489514713364533293571165593235194344856987<223>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.1] [ECM]
Tuned for default
Running on ip-*-*-*-*.ec2.internal
Input number is (10^262+29)/(3*19*503) (258 digits)
[Wed Feb 24 12:15:45 2021]
Using MODMULN [mulredc:0, sqrredc:0]
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:15257349736477137494
dF=16384, k=2, d=158340, d2=11, i0=8
Expected number of curves to find a factor of n digits:
35   40      45      50      55      60      65      70      75      80
324     2351    20272   201449  2247436 2.8e+07 3.9e+08 6e+09   1.1e+11 7.4e+15
Step 1 took 40164ms
Using 31 small primes for NTT
Estimated memory usage: 84.40MB
Initializing tables of differences for F took 31ms
Computing roots of F took 811ms
Building F from its roots took 1273ms
Computing 1/F took 742ms
Initializing table of differences for G took 26ms
Computing roots of G took 726ms
Building G from its roots took 1327ms
Computing roots of G took 726ms
Building G from its roots took 1328ms
Computing G * H took 404ms
Reducing  G * H mod F took 429ms
Computing polyeval(F,G) took 2508ms
Computing product of all F(g_i) took 19ms
Step 2 took 10378ms
********** Factor found in step 2: 311603650333927599921114483116089177
Found prime factor of 36 digits: 311603650333927599921114483116089177
Composite cofactor ((10^262+29)/(3*19*503))/311603650333927599921114483116089177 has 223 digits
execution environment 実行環境
Amazon Linux Graviton2, t4g.micro

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferFebruary 26, 2021 09:37:41 UTC 2021 年 2 月 26 日 (金) 18 時 37 分 41 秒 (日本時間)
4511e6300 / 4081Youcef LemsaferFebruary 26, 2021 09:37:41 UTC 2021 年 2 月 26 日 (金) 18 時 37 分 41 秒 (日本時間)

10263+293

c258

name 名前Youcef Lemsafer
date 日付February 26, 2021 09:39:47 UTC 2021 年 2 月 26 日 (金) 18 時 39 分 47 秒 (日本時間)
composite number 合成数
817334019893910044217770476260533392181382765694856517012807624091737570392892463363002558255482267938438401621590695469517527728056624900898250087863407138595329753410326198007339659498647312197075578876819589861788817235939811522775012464343803382128174321<258>
prime factors 素因数
9817488169697779011230410549091420708655608419<46>
composite cofactor 合成数の残り
83252865271246953534953752373151276318124065412926656584427102636748724200721632252109721499828288548708288881293400797077736116034403230673274240760608782660637787523684528656556077255696995324626426587269890459<212>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.1] [ECM]
Tuned for default
Running on ip-*-*-*-*.ec2.internal
Input number is (10^263+29)/(3*17*2399) (258 digits)
[Thu Feb 25 20:56:49 2021]
Using MODMULN [mulredc:0, sqrredc:0]
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=0:6824474548970337951
dF=32768, k=3, d=324870, d2=11, i0=23
Expected number of curves to find a factor of n digits:
35       40      45      50      55      60      65      70      75      80
122     686     4482    33676   284176  2657998 2.7e+07 3e+08   3.7e+09 4.4e+10
Step 1 took 148579ms
********** Factor found in step 1: 9817488169697779011230410549091420708655608419
Found prime factor of 46 digits: 9817488169697779011230410549091420708655608419
Composite cofactor ((10^263+29)/(3*17*2399))/9817488169697779011230410549091420708655608419 has 212 digits
execution environment 実行環境
Amazon Linux Graviton2, t4g.micro

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferFebruary 26, 2021 09:38:28 UTC 2021 年 2 月 26 日 (金) 18 時 38 分 28 秒 (日本時間)
4511e6300 / 4081Youcef LemsaferFebruary 26, 2021 09:38:28 UTC 2021 年 2 月 26 日 (金) 18 時 38 分 28 秒 (日本時間)

10264+293

c239

composite cofactor 合成数の残り
58021649104971827879885841003820589086114507915327532659161723217040938316286961319694676500273561068267707867107006269070290471039002868118358507446103133007943651278858576602575506616588516893387992116180481203933730519611719086593100543<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferFebruary 26, 2021 13:39:58 UTC 2021 年 2 月 26 日 (金) 22 時 39 分 58 秒 (日本時間)
4511e6300 / 4081Youcef LemsaferFebruary 26, 2021 18:28:38 UTC 2021 年 2 月 27 日 (土) 3 時 28 分 38 秒 (日本時間)

10265+293

c225

composite cofactor 合成数の残り
498844508025859762740218797882439054442511420196052177523227760218716490476193326958292591549647132995628222354646165240936193647749316119228575229981436362763043439010802474331322896281425177737960699618446929286499825327971<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferFebruary 27, 2021 10:14:31 UTC 2021 年 2 月 27 日 (土) 19 時 14 分 31 秒 (日本時間)
4511e6300 / 4081Youcef LemsaferFebruary 27, 2021 10:14:31 UTC 2021 年 2 月 27 日 (土) 19 時 14 分 31 秒 (日本時間)

10269+293

c235

composite cofactor 合成数の残り
1532600320525582253534687625955606945478013470083912262131982351478611912574063249053161966111860044100271092033592896642875585451853307869098524864420442335055601769408908337930024329067205262128655602087019334286132448494076958125607<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferFebruary 28, 2021 11:29:23 UTC 2021 年 2 月 28 日 (日) 20 時 29 分 23 秒 (日本時間)
4511e6300 / 4081Youcef LemsaferFebruary 28, 2021 11:29:23 UTC 2021 年 2 月 28 日 (日) 20 時 29 分 23 秒 (日本時間)

10270+293

c239

composite cofactor 合成数の残り
35321926927893534692172314724739535784838539665939749664850315677766584311980968791171101796558885831878275409954426563571907085319033596871317644432375619630146443142751732367776928644865324495429209304947696813262663455258336954108205709<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferFebruary 28, 2021 15:53:04 UTC 2021 年 3 月 1 日 (月) 0 時 53 分 4 秒 (日本時間)
4511e6300 / 4081Youcef LemsaferMarch 1, 2021 09:49:15 UTC 2021 年 3 月 1 日 (月) 18 時 49 分 15 秒 (日本時間)

10271+293

c254

name 名前Youcef Lemsafer
date 日付March 1, 2021 17:41:13 UTC 2021 年 3 月 2 日 (火) 2 時 41 分 13 秒 (日本時間)
composite number 合成数
14623217121065880986960249507933434169801956075506304200289926602335918582971789712630425078742497780150923880090678790900496047629882950809352513539403615183521976810751498970958356399274871044449590209393292333540536659047355059638497265056317793885613<254>
prime factors 素因数
149870553036791029500395864064906687497<39>
97572317074696421458077320822759124197141400495941992366741954624983248229550964142354562151831149912408934449116142207264716282554593072532935904331578707576037190301292877418085112626813317704402612246751795850629<215>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.1] [ECM]
Tuned for default
Running on ip-*-*-*-*.ec2.internal
Input number is (10^271+29)/(3*13*17534462785270247) (254 digits)
[Mon Mar  1 12:37:48 2021]
Using MODMULN [mulredc:0, sqrredc:0]
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=0:17949587495674973708
dF=32768, k=3, d=324870, d2=11, i0=23
Expected number of curves to find a factor of n digits:
35 40      45      50      55      60      65      70      75      80
122     686     4482    33676   284176  2657998 2.7e+07 3e+08   3.7e+09 4.4e+10
Step 1 took 148899ms
********** Factor found in step 1: 149870553036791029500395864064906687497
Found prime factor of 39 digits: 149870553036791029500395864064906687497
Prime cofactor ((10^271+29)/(3*13*17534462785270247))/149870553036791029500395864064906687497 has 215 digits
execution environment 実行環境
Amazon Linux Graviton2, t4g.micro

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferMarch 1, 2021 09:49:34 UTC 2021 年 3 月 1 日 (月) 18 時 49 分 34 秒 (日本時間)
4511e6232 / 4081Youcef LemsaferMarch 1, 2021 17:38:58 UTC 2021 年 3 月 2 日 (火) 2 時 38 分 58 秒 (日本時間)

10273+293

c232

name 名前Youcef Lemsafer
date 日付March 2, 2021 09:02:40 UTC 2021 年 3 月 2 日 (火) 18 時 2 分 40 秒 (日本時間)
composite number 合成数
2871641857253774239037330958558533491271472411759379565593425982792157351558246104399003838060006533310455183654299855424515617970094803776870787782050396700424696178896794063928116576382035282754358589876780775838581766043371149979<232>
prime factors 素因数
53849888798631635844263107354390196504124157<44>
53326792706891248227013098037729878907227506656424408967593908686687848209987596225563319888745144664202438874407851829757009571093638825282250361146937196949645707144279431002041044777847<188>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.1] [ECM]
Tuned for default
Running on ip-*-*-*-*.ec2.internal
Input number is (10^273+29)/(3*7*7753849967*2138617109018358556375717512293) (232 digits)
[Mon Mar  1 19:38:32 2021]
Using MODMULN [mulredc:0, sqrredc:0]
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:9904879188114739923
dF=16384, k=2, d=158340, d2=11, i0=8
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
324     2351    20272   201449  2247436 2.8e+07 3.9e+08 6e+09   1.1e+11 7.4e+15
Step 1 took 37603ms
Using 28 small primes for NTT
Estimated memory usage: 78.19MB
Initializing tables of differences for F took 30ms
Computing roots of F took 772ms
Building F from its roots took 1143ms
Computing 1/F took 650ms
Initializing table of differences for G took 24ms
Computing roots of G took 689ms
Building G from its roots took 1189ms
Computing roots of G took 689ms
Building G from its roots took 1180ms
Computing G * H took 354ms
Reducing  G * H mod F took 377ms
Computing polyeval(F,G) took 2295ms
Computing product of all F(g_i) took 18ms
Step 2 took 9439ms
********** Factor found in step 2: 53849888798631635844263107354390196504124157
Found prime factor of 44 digits: 53849888798631635844263107354390196504124157
Prime cofactor ((10^273+29)/(3*7*7753849967*2138617109018358556375717512293))/53849888798631635844263107354390196504124157 has 188 digits
execution environment 実行環境
Amazon Linux Graviton2, t4g.micro

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61063 / 2104Youcef LemsaferMarch 2, 2021 09:00:50 UTC 2021 年 3 月 2 日 (火) 18 時 0 分 50 秒 (日本時間)

10275+293

c233

composite cofactor 合成数の残り
76807443703944094743277849557534831106220485285166171726836619070525462678829675507015575963462131887756560307445162954027966477885260853949838622730416981836107762333419813118351822522443664118812681089542891333791869655898291641019<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferMarch 2, 2021 09:03:23 UTC 2021 年 3 月 2 日 (火) 18 時 3 分 23 秒 (日本時間)
4511e6300 / 4081Youcef LemsaferMarch 4, 2021 09:32:52 UTC 2021 年 3 月 4 日 (木) 18 時 32 分 52 秒 (日本時間)

10276+293

c275

composite cofactor 合成数の残り
10752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010753<275>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferMarch 4, 2021 09:32:33 UTC 2021 年 3 月 4 日 (木) 18 時 32 分 33 秒 (日本時間)
4511e6300 / 4081Youcef LemsaferMarch 4, 2021 09:32:33 UTC 2021 年 3 月 4 日 (木) 18 時 32 分 33 秒 (日本時間)

10277+293

c269

name 名前Youcef Lemsafer
date 日付March 4, 2021 09:35:10 UTC 2021 年 3 月 4 日 (木) 18 時 35 分 10 秒 (日本時間)
composite number 合成数
19340896780560159833325721723405343882430927995549087160248402641620684990081417574473723512755486791446899199444888411506559406153391797498984926879041665991427607815360086485682406998277598371296893022059161184494309441084501950449175597852794527590734060276798366047<269>
prime factors 素因数
3918540605957725098873472098548474093<37>
composite cofactor 合成数の残り
4935739788214617200998520016317536114315744059806614537652072704209029334847704950434857434471092794001999138070051629519111776608429145811950156633861555797380435842261652082720360534041353474265665258336228033663901134115842153979<232>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.1] [ECM]
Tuned for default
Running on ip-*-*-*-*.ec2.internal
Input number is (10^277+29)/(3*13^2*1019801) (269 digits)
[Thu Mar  4 00:04:32 2021]
Using MODMULN [mulredc:0, sqrredc:0]
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=0:1853558998613367164
dF=32768, k=3, d=324870, d2=11, i0=23
Expected number of curves to find a factor of n digits:
35  40      45      50      55      60      65      70      75      80
122     686     4482    33676   284176  2657998 2.7e+07 3e+08   3.7e+09 4.4e+10
Step 1 took 148713ms
Using 32 small primes for NTT
Estimated memory usage: 171.28MB
Initializing tables of differences for F took 136ms
Computing roots of F took 3264ms
Building F from its roots took 3036ms
Computing 1/F took 1666ms
Initializing table of differences for G took 113ms
Computing roots of G took 2858ms
Building G from its roots took 3195ms
Computing roots of G took 2861ms
Building G from its roots took 3205ms
Computing G * H took 864ms
Reducing  G * H mod F took 947ms
Computing roots of G took 2859ms
Building G from its roots took 3205ms
Computing G * H took 883ms
Reducing  G * H mod F took 955ms
Computing polyeval(F,G) took 6032ms
Computing product of all F(g_i) took 39ms
Step 2 took 36179ms
********** Factor found in step 2: 3918540605957725098873472098548474093
Found prime factor of 37 digits: 3918540605957725098873472098548474093
Composite cofactor ((10^277+29)/(3*13^2*1019801))/3918540605957725098873472098548474093 has 232 digits
execution environment 実行環境
Amazon Linux Graviton2, t4g.micro

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferMarch 4, 2021 09:31:45 UTC 2021 年 3 月 4 日 (木) 18 時 31 分 45 秒 (日本時間)
4511e6300 / 4081Youcef LemsaferMarch 4, 2021 09:31:45 UTC 2021 年 3 月 4 日 (木) 18 時 31 分 45 秒 (日本時間)

10278+293

c256

composite cofactor 合成数の残り
1413886598491508960926893019309339785646591572357338356171091177843142630762425915110183641708775824467295735032602149607920213484428433129430312425355569265641486172890117192037902849444901187174757460256257154673689556199689193459383407908560368514627259<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferMarch 9, 2021 14:46:52 UTC 2021 年 3 月 9 日 (火) 23 時 46 分 52 秒 (日本時間)
4511e6300 / 4081Youcef LemsaferMarch 9, 2021 14:46:52 UTC 2021 年 3 月 9 日 (火) 23 時 46 分 52 秒 (日本時間)

10279+293

c251

composite cofactor 合成数の残り
46193643740943829853576627695859403988842410658966538177148350057404889739031281815669479639107974797036884092435045265314591032016249979005242277855857759659295389524508924917551062089693085550962113872961448144541841930628147850940308231359570417707<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferMarch 9, 2021 14:46:33 UTC 2021 年 3 月 9 日 (火) 23 時 46 分 33 秒 (日本時間)
4511e6300 / 4081Youcef LemsaferMarch 9, 2021 14:46:33 UTC 2021 年 3 月 9 日 (火) 23 時 46 分 33 秒 (日本時間)

10280+293

c255

composite cofactor 合成数の残り
150363305332377231892441350308446921516581012764305562237862737162756336388087639604075606446326925050646650048711294368198594846029928672610928817697202122200523646435491973412949903837710538112147735214839553044682388903414373353023892915913858352291679<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferMarch 9, 2021 14:46:08 UTC 2021 年 3 月 9 日 (火) 23 時 46 分 8 秒 (日本時間)
4511e6300 / 4081Youcef LemsaferMarch 9, 2021 14:46:08 UTC 2021 年 3 月 9 日 (火) 23 時 46 分 8 秒 (日本時間)

10282+293

c274

composite cofactor 合成数の残り
1286482288256680531099152031795317127539104845117303326874973544295793431525303277875436149175345363020800690855397395465920022192951576841405040327739802257200329121792990537185615520943615821416992031223810235803957085981816028270221863557821495130392447944497901857382089<274>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e62352iveliveSeptember 11, 2020 17:23:39 UTC 2020 年 9 月 12 日 (土) 2 時 23 分 39 秒 (日本時間)

10283+293

c267

composite cofactor 合成数の残り
310975218896119238359152260923965979318773682292483956440622714531924531780548452468527243861248086038688078641079755253505752339564841448711331001797517376940414807294714964890260754102604024575155683027704695116879746299535560539792310247082980953574208547933418101<267>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferMarch 9, 2021 14:45:32 UTC 2021 年 3 月 9 日 (火) 23 時 45 分 32 秒 (日本時間)
4511e6300 / 4081Youcef LemsaferMarch 9, 2021 14:45:32 UTC 2021 年 3 月 9 日 (火) 23 時 45 分 32 秒 (日本時間)

10284+293

c279

composite cofactor 合成数の残り
249103848903569409050939246062290908456826566427277867870336464568714051200805103639656336330052635643273324216132463462692962068956927453486083813481002094963369279018730118399059383866540121911423653406868789529667022885170598770921609509788535742665759928656657674017721247811<279>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferMarch 9, 2021 14:44:39 UTC 2021 年 3 月 9 日 (火) 23 時 44 分 39 秒 (日本時間)
4511e6300 / 4081Youcef LemsaferMarch 9, 2021 14:44:39 UTC 2021 年 3 月 9 日 (火) 23 時 44 分 39 秒 (日本時間)

10285+293

c196

composite cofactor 合成数の残り
1177337712181452220068809365711877772031789184442446639139523312433324121997661598662002930013020995321936977741030749613289483098762297409118774893204082095411408528906260116945091338841850634067<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovNovember 13, 2016 00:36:10 UTC 2016 年 11 月 13 日 (日) 9 時 36 分 10 秒 (日本時間)
4511e61600Dmitry DomanovNovember 13, 2016 23:26:29 UTC 2016 年 11 月 14 日 (月) 8 時 26 分 29 秒 (日本時間)
5043e67300800Dmitry DomanovDecember 7, 2016 20:00:19 UTC 2016 年 12 月 8 日 (木) 5 時 0 分 19 秒 (日本時間)
6500Erik BrangerSeptember 1, 2017 08:04:43 UTC 2017 年 9 月 1 日 (金) 17 時 4 分 43 秒 (日本時間)

10286+293

c283

composite cofactor 合成数の残り
2011667672500502916918125125729229531281432307382820358076845705089519211426272379802856568094950714142023737678535505934419633876483604908469120901227117280225306779320056326694830014081673707503520418426875880104606718970026151679742506537919935626634479983906658619995976664654999<283>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferMarch 9, 2021 14:43:32 UTC 2021 年 3 月 9 日 (火) 23 時 43 分 32 秒 (日本時間)
4511e6300 / 4081Youcef LemsaferMarch 9, 2021 14:43:32 UTC 2021 年 3 月 9 日 (火) 23 時 43 分 32 秒 (日本時間)

10287+293

c285

composite cofactor 合成数の残り
343642611683848797250859106529209621993127147766323024054982817869415807560137457044673539518900343642611683848797250859106529209621993127147766323024054982817869415807560137457044673539518900343642611683848797250859106529209621993127147766323024054982817869415807560137457044673539519<285>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferMarch 11, 2021 07:52:17 UTC 2021 年 3 月 11 日 (木) 16 時 52 分 17 秒 (日本時間)
4511e6300 / 4081Youcef LemsaferMarch 11, 2021 07:52:17 UTC 2021 年 3 月 11 日 (木) 16 時 52 分 17 秒 (日本時間)

10288+293

c282

name 名前Youcef Lemsafer
date 日付March 11, 2021 07:55:24 UTC 2021 年 3 月 11 日 (木) 16 時 55 分 24 秒 (日本時間)
composite number 合成数
266036479454135709996826184800112160979737863615334661919511727287069057483300225093465266144224228314634959374899404956206404934657450098872457589129536620320451580961684628119577012639127102386533446239215213668528655986366162500934453134082651681363851974110393965441329245948863<282>
prime factors 素因数
32811607540796274246979237563372247<35>
composite cofactor 合成数の残り
8107998948949988545402508585680182593465799940992219707349246883616741156582804667376266200466820622348024010548700154747293058915259281796118051589362075831501724917880266004517932848808226462479137064009847943814369528614941954697151567711607129<247>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.1] [ECM]
Tuned for default
Running on ip-*-*-*-*.ec2.internal
Input number is (10^288+29)/(3*467*2683) (282 digits)
[Wed Mar 10 06:36:37 2021]
Using MODMULN [mulredc:0, sqrredc:0]
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:16639323507252335690
dF=16384, k=2, d=158340, d2=11, i0=8
Expected number of curves to find a factor of n digits:
35 40      45      50      55      60      65      70      75      80
324     2351    20272   201449  2247436 2.8e+07 3.9e+08 6e+09   1.1e+11 7.4e+15
Step 1 took 46159ms
Using 33 small primes for NTT
Estimated memory usage: 89.72MB
Initializing tables of differences for F took 36ms
Found factor while computing roots of F
Step 2 took 520ms
********** Factor found in step 2: 32811607540796274246979237563372247
Found prime factor of 35 digits: 32811607540796274246979237563372247
Composite cofactor ((10^288+29)/(3*467*2683))/32811607540796274246979237563372247 has 247 digits
execution environment 実行環境
Amazon Linux Graviton2, t4g.micro

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferMarch 11, 2021 07:53:28 UTC 2021 年 3 月 11 日 (木) 16 時 53 分 28 秒 (日本時間)
4511e6300 / 4081Youcef LemsaferMarch 11, 2021 07:53:28 UTC 2021 年 3 月 11 日 (木) 16 時 53 分 28 秒 (日本時間)

10289+293

c238

composite cofactor 合成数の残り
8727526274691695974952463402987957955774819857367533098673042714950705676807728701558009102178636542222599746379124598376954532073575544329830844386447458296358367764373907293999909098395557215139369025826402268119447544485882637997619189<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferMarch 16, 2021 10:42:56 UTC 2021 年 3 月 16 日 (火) 19 時 42 分 56 秒 (日本時間)
4511e6300 / 4081Youcef LemsaferMarch 16, 2021 10:42:56 UTC 2021 年 3 月 16 日 (火) 19 時 42 分 56 秒 (日本時間)

10291+293

c251

composite cofactor 合成数の残り
10839874080586468097161461710441288405399423737441959684896471576458387277015371144097896233676587837801320420042759925515299550822622599420460803858170664011524232866131078925530423666386525830975927802979288007558022114997705717345733022807710784999<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferMarch 16, 2021 10:43:15 UTC 2021 年 3 月 16 日 (火) 19 時 43 分 15 秒 (日本時間)
4511e6300 / 4081Youcef LemsaferMarch 16, 2021 10:43:15 UTC 2021 年 3 月 16 日 (火) 19 時 43 分 15 秒 (日本時間)

10293+293

c274

composite cofactor 合成数の残り
7586521279148791085740260763521575389028372811602408061654137709542013764759952903641241361798904280618630191009084653062340223620755136334614293386500772625662097224240100335170233521380362560816769127535789393731584664420355296075770254591989748846282172276389310834377983<274>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferMarch 16, 2021 10:43:37 UTC 2021 年 3 月 16 日 (火) 19 時 43 分 37 秒 (日本時間)
4511e6300 / 4081Youcef LemsaferMarch 16, 2021 10:43:37 UTC 2021 年 3 月 16 日 (火) 19 時 43 分 37 秒 (日本時間)

10294+293

c246

composite cofactor 合成数の残り
742226726068483289858405071230733798145660301960190255330667546820843505776465793214315098881517328628201816870459053708814479120161530568068325788723046801330114538071488641665059820073505942160571828463116480430903126308537647107098851665956867<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61940320Dmitry DomanovJune 13, 2018 11:17:44 UTC 2018 年 6 月 13 日 (水) 20 時 17 分 44 秒 (日本時間)
1620Youcef LemsaferMarch 16, 2021 10:44:03 UTC 2021 年 3 月 16 日 (火) 19 時 44 分 3 秒 (日本時間)
4511e6300 / 4010Youcef LemsaferMarch 16, 2021 10:44:03 UTC 2021 年 3 月 16 日 (火) 19 時 44 分 3 秒 (日本時間)

10295+293

c266

composite cofactor 合成数の残り
62847401996430462619204848946263495686000140617670563366713585998669333308223725374212654021828233456491450092062511296943325934375625586403270561571353684881237646594097136302231366311290703865950114746825039763809134179112447298279859445657944915962185523235107843<266>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferMarch 16, 2021 10:44:21 UTC 2021 年 3 月 16 日 (火) 19 時 44 分 21 秒 (日本時間)
4511e6300 / 4081Youcef LemsaferMarch 16, 2021 10:44:21 UTC 2021 年 3 月 16 日 (火) 19 時 44 分 21 秒 (日本時間)

10297+293

c199

name 名前Dmitry Domanov
date 日付May 13, 2017 17:08:51 UTC 2017 年 5 月 14 日 (日) 2 時 8 分 51 秒 (日本時間)
composite number 合成数
2185353430667889270269062824934935777958596525304939208244148589437678640104311519205352482329775489522646728726150370781981893983767072395855200515015403776416093925887505399180314675119699510727669<199>
prime factors 素因数
1269131546702924940807116652531203877700133932319<49>
1721928224339877038326215613455330147697129050365781994808187079304426438221080431411978042922818960157421649997964002396138920231566630395398815852651<151>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3912537332
Step 1 took 270199ms
Step 2 took 63358ms
********** Factor found in step 2: 1269131546702924940807116652531203877700133932319
Found probable prime factor of 49 digits: 1269131546702924940807116652531203877700133932319

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovNovember 13, 2016 00:35:41 UTC 2016 年 11 月 13 日 (日) 9 時 35 分 41 秒 (日本時間)
4511e61600Dmitry DomanovNovember 14, 2016 00:18:46 UTC 2016 年 11 月 14 日 (月) 9 時 18 分 46 秒 (日本時間)
5043e642001200Dmitry DomanovDecember 2, 2016 23:28:21 UTC 2016 年 12 月 3 日 (土) 8 時 28 分 21 秒 (日本時間)
2000Dmitry DomanovMarch 8, 2017 10:14:34 UTC 2017 年 3 月 8 日 (水) 19 時 14 分 34 秒 (日本時間)
1000Dmitry DomanovMay 12, 2017 23:17:07 UTC 2017 年 5 月 13 日 (土) 8 時 17 分 7 秒 (日本時間)
5511e71224 / 16160Dmitry DomanovMay 13, 2017 16:51:58 UTC 2017 年 5 月 14 日 (日) 1 時 51 分 58 秒 (日本時間)