Table of contents 目次

115×10105-13

c107

name 名前KTakahashi
date 日付December 19, 2014 12:58:38 UTC 2014 年 12 月 19 日 (金) 21 時 58 分 38 秒 (日本時間)
composite number 合成数
38333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<107>
prime factors 素因数
58061552190271816873999278334413205331<38>
660218886462288956237769321123865252394678235908960067870988274441143<69>
factorization results 素因数分解の結果
Number: 38333_105
N=38333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
  ( 107 digits)
SNFS difficulty: 108 digits.
Divisors found:
 r1=58061552190271816873999278334413205331 (pp38)
 r2=660218886462288956237769321123865252394678235908960067870988274441143 (pp69)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 0.68 hours.
Scaled time: 1.18 units (timescale=1.728).
Factorization parameters were as follows:
n: 38333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
m: 500000000000000000000000000
c4: 46
c0: -25
skew: 0.86
type: snfs
Factor base limits: 450000/500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [225000, 425001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 50721 x 50946
Total sieving time: 0.66 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,108.000,4,0,0,0,0,0,0,0,0,450000,500000,25,25,44,44,2.2,2.2,20000
total time: 0.68 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)

115×10115-13

c101

name 名前KTakahashi
date 日付December 19, 2014 13:30:48 UTC 2014 年 12 月 19 日 (金) 22 時 30 分 48 秒 (日本時間)
composite number 合成数
74732878443445954784510122073562185849012894420854682421695893279079847400644652124392141814627881831<101>
prime factors 素因数
1698298440141074150962957287169<31>
5056776007339679643455995307651<31>
8702098255141849112801374616511607011149<40>
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 74732878443445954784510122073562185849012894420854682421695893279079847400644652124392141814627881831 (101 digits)
Using B1=250000, B2=128992510, polynomial Dickson(3), sigma=563274902
Step 1 took 655ms
Step 2 took 390ms
********** Factor found in step 2: 5056776007339679643455995307651
Found probable prime factor of 31 digits: 5056776007339679643455995307651
Composite cofactor 14778759892661765449926326962543451898728901402442000500006681377647181 has 71 digits

Msieve v. 1.51 (SVN Official Release)
Sat Dec 13 01:45:31 2014
random seeds: f1b6c2a4 76d89310
factoring 14778759892661765449926326962543451898728901402442000500006681377647181 (71 digits)
searching for 15-digit factors
commencing quadratic sieve (71-digit input)
using multiplier of 29
using VC8 64kb sieve core
sieve interval: 6 blocks of size 65536
processing polynomials in batches of 17
using a sieve bound of 252283 (11012 primes)
using large prime bound of 25228300 (24 bits)
using trial factoring cutoff of 25 bits
polynomial 'A' values have 9 factors
11143 relations (5307 full + 5836 combined from 62734 partial), need 11108
begin with 68041 relations
reduce to 16238 relations in 2 passes
attempting to read 16238 relations
recovered 16238 relations
recovered 13543 polynomials
attempting to build 11143 cycles
found 11143 cycles in 1 passes
distribution of cycle lengths:
   length 1 : 5307
   length 2 : 5836
largest cycle: 2 relations
matrix is 11012 x 11143 (1.6 MB) with weight 326512 (29.30/col)
sparse part has weight 326512 (29.30/col)
filtering completed in 3 passes
matrix is 8687 x 8751 (1.3 MB) with weight 276675 (31.62/col)
sparse part has weight 276675 (31.62/col)
commencing Lanczos iteration
memory use: 1.4 MB
lanczos halted after 139 iterations (dim = 8683)
recovered 62 nontrivial dependencies
prp31 factor: 1698298440141074150962957287169
prp40 factor: 8702098255141849112801374616511607011149
elapsed time 00:01:01

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)

115×10117-13

c98

name 名前KTakahashi
date 日付December 19, 2014 13:32:20 UTC 2014 年 12 月 19 日 (金) 22 時 32 分 20 秒 (日本時間)
composite number 合成数
89494680798190270536784323511369480006092200789023371915565142365816518731479372436721921564065879<98>
prime factors 素因数
4265761358653693218995938929861239651707<40>
20979767331953017071653569639670461536545812286111119702997<59>
factorization results 素因数分解の結果
Number: 38333_117
N=89494680798190270536784323511369480006092200789023371915565142365816518731479372436721921564065879
  ( 98 digits)
SNFS difficulty: 120 digits.
Divisors found:
 r1=4265761358653693218995938929861239651707 (pp40)
 r2=20979767331953017071653569639670461536545812286111119702997 (pp59)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 2.03 hours.
Scaled time: 4.21 units (timescale=2.075).
Factorization parameters were as follows:
n: 89494680798190270536784323511369480006092200789023371915565142365816518731479372436721921564065879
m: 500000000000000000000000
c5: 92
c0: -25
skew: 0.77
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 : 78680 x 78906
Total sieving time: 1.99 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,120.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.03 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
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)

115×10118-13

c99

name 名前KTakahashi
date 日付December 19, 2014 13:37:11 UTC 2014 年 12 月 19 日 (金) 22 時 37 分 11 秒 (日本時間)
composite number 合成数
276801222555051765193053318828053564705336756485182251693873589501098616083033849004549670489340651<99>
prime factors 素因数
141285276381435902079910418992042038881<39>
1959165382582086969657915095960184690008475328391754936532171<61>
factorization results 素因数分解の結果
Number: 38333_118
N=276801222555051765193053318828053564705336756485182251693873589501098616083033849004549670489340651
  ( 99 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=141285276381435902079910418992042038881 (pp39)
 r2=1959165382582086969657915095960184690008475328391754936532171 (pp61)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.98 hours.
Scaled time: 3.44 units (timescale=1.737).
Factorization parameters were as follows:
n: 276801222555051765193053318828053564705336756485182251693873589501098616083033849004549670489340651
m: 1000000000000000000000000
c5: 23
c0: -20
skew: 0.97
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 : 83812 x 84038
Total sieving time: 1.94 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,121.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.98 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)

115×10123-13

c119

name 名前Cyp
date 日付December 20, 2014 00:24:35 UTC 2014 年 12 月 20 日 (土) 9 時 24 分 35 秒 (日本時間)
composite number 合成数
10989629516654114598518731727949141141340874321545665589778536030360428312687641951372131694750903801465749003933427309<119>
prime factors 素因数
5990410674467902804160415430818933462380692027<46>
1834536914721671656761051078925579155868742230099497638450200519521224567<73>
factorization results 素因数分解の結果
12/20/14 00:41:46 v1.34.3, 
12/20/14 00:41:46 v1.34.3, ****************************
12/20/14 00:41:46 v1.34.3, Starting factorization of 10989629516654114598518731727949141141340874321545665589778536030360428312687641951372131694750903801465749003933427309
12/20/14 00:41:46 v1.34.3, using pretesting plan: none
12/20/14 00:41:46 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/20/14 00:41:46 v1.34.3, ****************************
12/20/14 00:41:46 v1.34.3, nfs: commencing nfs on c119: 10989629516654114598518731727949141141340874321545665589778536030360428312687641951372131694750903801465749003933427309
12/20/14 00:41:46 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/20/14 00:41:46 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 00:43:13 v1.34.3, nfs: commencing lattice sieving with 8 threads
[18 lines snipped]
12/20/14 01:16:26 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 01:18:19 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 01:20:26 v1.34.3, nfs: commencing msieve filtering
12/20/14 01:22:35 v1.34.3, nfs: commencing msieve linear algebra
12/20/14 01:23:55 v1.34.3, nfs: commencing msieve sqrt
12/20/14 01:24:34 v1.34.3, prp46 = 5990410674467902804160415430818933462380692027
12/20/14 01:24:34 v1.34.3, prp73 = 1834536914721671656761051078925579155868742230099497638450200519521224567
12/20/14 01:24:34 v1.34.3, NFS elapsed time = 2568.0066 seconds.
12/20/14 01:24:34 v1.34.3, 
12/20/14 01:24:34 v1.34.3, 
12/20/14 01:24:34 v1.34.3, Total factoring time = 2568.0105 seconds
--
Sat Dec 20 01:20:26 2014  
Sat Dec 20 01:20:26 2014  commencing relation filtering
Sat Dec 20 01:20:26 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 01:20:26 2014  commencing duplicate removal, pass 1
Sat Dec 20 01:21:07 2014  found 565635 hash collisions in 4621659 relations
Sat Dec 20 01:21:14 2014  added 167985 free relations
Sat Dec 20 01:21:14 2014  commencing duplicate removal, pass 2
Sat Dec 20 01:21:18 2014  found 366857 duplicates and 4422787 unique relations
Sat Dec 20 01:21:18 2014  memory use: 20.6 MB
Sat Dec 20 01:21:18 2014  reading ideals above 100000
Sat Dec 20 01:21:18 2014  commencing singleton removal, initial pass
Sat Dec 20 01:22:16 2014  memory use: 94.1 MB
Sat Dec 20 01:22:16 2014  reading all ideals from disk
Sat Dec 20 01:22:16 2014  memory use: 127.7 MB
Sat Dec 20 01:22:16 2014  keeping 4040092 ideals with weight <= 200, target excess is 24634
Sat Dec 20 01:22:17 2014  commencing in-memory singleton removal
Sat Dec 20 01:22:17 2014  begin with 4422787 relations and 4040092 unique ideals
Sat Dec 20 01:22:21 2014  reduce to 2346725 relations and 1400415 ideals in 9 passes
Sat Dec 20 01:22:21 2014  max relations containing the same ideal: 129
Sat Dec 20 01:22:22 2014  removing 933447 relations and 533447 ideals in 400000 cliques
Sat Dec 20 01:22:23 2014  commencing in-memory singleton removal
Sat Dec 20 01:22:23 2014  begin with 1413278 relations and 1400415 unique ideals
Sat Dec 20 01:22:24 2014  reduce to 1360702 relations and 809094 ideals in 5 passes
Sat Dec 20 01:22:24 2014  max relations containing the same ideal: 88
Sat Dec 20 01:22:24 2014  removing 289934 relations and 156287 ideals in 133647 cliques
Sat Dec 20 01:22:24 2014  commencing in-memory singleton removal
Sat Dec 20 01:22:24 2014  begin with 1070768 relations and 809094 unique ideals
Sat Dec 20 01:22:25 2014  reduce to 1056767 relations and 638003 ideals in 4 passes
Sat Dec 20 01:22:25 2014  max relations containing the same ideal: 73
Sat Dec 20 01:22:25 2014  removing 152156 relations and 80307 ideals in 71849 cliques
Sat Dec 20 01:22:25 2014  commencing in-memory singleton removal
Sat Dec 20 01:22:25 2014  begin with 904611 relations and 638003 unique ideals
Sat Dec 20 01:22:25 2014  reduce to 898547 relations and 551396 ideals in 5 passes
Sat Dec 20 01:22:25 2014  max relations containing the same ideal: 67
Sat Dec 20 01:22:26 2014  removing 99477 relations and 51832 ideals in 47645 cliques
Sat Dec 20 01:22:26 2014  commencing in-memory singleton removal
Sat Dec 20 01:22:26 2014  begin with 799070 relations and 551396 unique ideals
Sat Dec 20 01:22:26 2014  reduce to 795691 relations and 496092 ideals in 4 passes
Sat Dec 20 01:22:26 2014  max relations containing the same ideal: 65
Sat Dec 20 01:22:26 2014  removing 72665 relations and 37565 ideals in 35100 cliques
Sat Dec 20 01:22:26 2014  commencing in-memory singleton removal
Sat Dec 20 01:22:26 2014  begin with 723026 relations and 496092 unique ideals
Sat Dec 20 01:22:26 2014  reduce to 720883 relations and 456338 ideals in 4 passes
Sat Dec 20 01:22:26 2014  max relations containing the same ideal: 57
Sat Dec 20 01:22:26 2014  removing 57116 relations and 29443 ideals in 27673 cliques
Sat Dec 20 01:22:27 2014  commencing in-memory singleton removal
Sat Dec 20 01:22:27 2014  begin with 663767 relations and 456338 unique ideals
Sat Dec 20 01:22:27 2014  reduce to 662256 relations and 425345 ideals in 3 passes
Sat Dec 20 01:22:27 2014  max relations containing the same ideal: 55
Sat Dec 20 01:22:27 2014  removing 47235 relations and 24291 ideals in 22944 cliques
Sat Dec 20 01:22:27 2014  commencing in-memory singleton removal
Sat Dec 20 01:22:27 2014  begin with 615021 relations and 425345 unique ideals
Sat Dec 20 01:22:27 2014  reduce to 613780 relations and 399788 ideals in 4 passes
Sat Dec 20 01:22:27 2014  max relations containing the same ideal: 53
Sat Dec 20 01:22:27 2014  removing 41413 relations and 21299 ideals in 20114 cliques
Sat Dec 20 01:22:27 2014  commencing in-memory singleton removal
Sat Dec 20 01:22:27 2014  begin with 572367 relations and 399788 unique ideals
Sat Dec 20 01:22:27 2014  reduce to 571333 relations and 377436 ideals in 3 passes
Sat Dec 20 01:22:27 2014  max relations containing the same ideal: 51
Sat Dec 20 01:22:27 2014  removing 37003 relations and 18970 ideals in 18033 cliques
Sat Dec 20 01:22:27 2014  commencing in-memory singleton removal
Sat Dec 20 01:22:27 2014  begin with 534330 relations and 377436 unique ideals
Sat Dec 20 01:22:28 2014  reduce to 533401 relations and 357526 ideals in 4 passes
Sat Dec 20 01:22:28 2014  max relations containing the same ideal: 47
Sat Dec 20 01:22:28 2014  removing 33949 relations and 17393 ideals in 16556 cliques
Sat Dec 20 01:22:28 2014  commencing in-memory singleton removal
Sat Dec 20 01:22:28 2014  begin with 499452 relations and 357526 unique ideals
Sat Dec 20 01:22:28 2014  reduce to 498613 relations and 339282 ideals in 4 passes
Sat Dec 20 01:22:28 2014  max relations containing the same ideal: 44
Sat Dec 20 01:22:28 2014  removing 32345 relations and 16577 ideals in 15768 cliques
Sat Dec 20 01:22:28 2014  commencing in-memory singleton removal
Sat Dec 20 01:22:28 2014  begin with 466268 relations and 339282 unique ideals
Sat Dec 20 01:22:28 2014  reduce to 465434 relations and 321862 ideals in 3 passes
Sat Dec 20 01:22:28 2014  max relations containing the same ideal: 43
Sat Dec 20 01:22:28 2014  removing 30966 relations and 15899 ideals in 15067 cliques
Sat Dec 20 01:22:28 2014  commencing in-memory singleton removal
Sat Dec 20 01:22:28 2014  begin with 434468 relations and 321862 unique ideals
Sat Dec 20 01:22:28 2014  reduce to 433576 relations and 305062 ideals in 3 passes
Sat Dec 20 01:22:28 2014  max relations containing the same ideal: 41
Sat Dec 20 01:22:28 2014  removing 30645 relations and 15735 ideals in 14910 cliques
Sat Dec 20 01:22:28 2014  commencing in-memory singleton removal
Sat Dec 20 01:22:28 2014  begin with 402931 relations and 305062 unique ideals
Sat Dec 20 01:22:28 2014  reduce to 402015 relations and 288398 ideals in 3 passes
Sat Dec 20 01:22:28 2014  max relations containing the same ideal: 39
Sat Dec 20 01:22:28 2014  removing 30465 relations and 15690 ideals in 14775 cliques
Sat Dec 20 01:22:28 2014  commencing in-memory singleton removal
Sat Dec 20 01:22:28 2014  begin with 371550 relations and 288398 unique ideals
Sat Dec 20 01:22:29 2014  reduce to 370500 relations and 271638 ideals in 3 passes
Sat Dec 20 01:22:29 2014  max relations containing the same ideal: 38
Sat Dec 20 01:22:29 2014  removing 31070 relations and 16080 ideals in 14990 cliques
Sat Dec 20 01:22:29 2014  commencing in-memory singleton removal
Sat Dec 20 01:22:29 2014  begin with 339430 relations and 271638 unique ideals
Sat Dec 20 01:22:29 2014  reduce to 338251 relations and 254347 ideals in 4 passes
Sat Dec 20 01:22:29 2014  max relations containing the same ideal: 34
Sat Dec 20 01:22:29 2014  removing 31843 relations and 16544 ideals in 15299 cliques
Sat Dec 20 01:22:29 2014  commencing in-memory singleton removal
Sat Dec 20 01:22:29 2014  begin with 306408 relations and 254347 unique ideals
Sat Dec 20 01:22:29 2014  reduce to 305029 relations and 236397 ideals in 4 passes
Sat Dec 20 01:22:29 2014  max relations containing the same ideal: 32
Sat Dec 20 01:22:29 2014  removing 32959 relations and 17195 ideals in 15764 cliques
Sat Dec 20 01:22:29 2014  commencing in-memory singleton removal
Sat Dec 20 01:22:29 2014  begin with 272070 relations and 236397 unique ideals
Sat Dec 20 01:22:29 2014  reduce to 270219 relations and 217307 ideals in 4 passes
Sat Dec 20 01:22:29 2014  max relations containing the same ideal: 27
Sat Dec 20 01:22:29 2014  removing 34606 relations and 18265 ideals in 16341 cliques
Sat Dec 20 01:22:29 2014  commencing in-memory singleton removal
Sat Dec 20 01:22:29 2014  begin with 235613 relations and 217307 unique ideals
Sat Dec 20 01:22:29 2014  reduce to 233297 relations and 196632 ideals in 4 passes
Sat Dec 20 01:22:29 2014  max relations containing the same ideal: 27
Sat Dec 20 01:22:29 2014  removing 18375 relations and 10286 ideals in 8089 cliques
Sat Dec 20 01:22:29 2014  commencing in-memory singleton removal
Sat Dec 20 01:22:29 2014  begin with 214922 relations and 196632 unique ideals
Sat Dec 20 01:22:29 2014  reduce to 213376 relations and 184749 ideals in 4 passes
Sat Dec 20 01:22:29 2014  max relations containing the same ideal: 27
Sat Dec 20 01:22:29 2014  relations with 0 large ideals: 580
Sat Dec 20 01:22:29 2014  relations with 1 large ideals: 1410
Sat Dec 20 01:22:29 2014  relations with 2 large ideals: 9805
Sat Dec 20 01:22:29 2014  relations with 3 large ideals: 31703
Sat Dec 20 01:22:29 2014  relations with 4 large ideals: 56471
Sat Dec 20 01:22:29 2014  relations with 5 large ideals: 58344
Sat Dec 20 01:22:29 2014  relations with 6 large ideals: 38263
Sat Dec 20 01:22:29 2014  relations with 7+ large ideals: 16800
Sat Dec 20 01:22:29 2014  commencing 2-way merge
Sat Dec 20 01:22:29 2014  reduce to 189668 relation sets and 161041 unique ideals
Sat Dec 20 01:22:29 2014  commencing full merge
Sat Dec 20 01:22:33 2014  memory use: 17.6 MB
Sat Dec 20 01:22:33 2014  found 86894 cycles, need 83241
Sat Dec 20 01:22:33 2014  weight of 83241 cycles is about 5926214 (71.19/cycle)
Sat Dec 20 01:22:33 2014  distribution of cycle lengths:
Sat Dec 20 01:22:33 2014  1 relations: 3846
Sat Dec 20 01:22:33 2014  2 relations: 6867
Sat Dec 20 01:22:33 2014  3 relations: 8802
Sat Dec 20 01:22:33 2014  4 relations: 8938
Sat Dec 20 01:22:33 2014  5 relations: 8824
Sat Dec 20 01:22:33 2014  6 relations: 8172
Sat Dec 20 01:22:33 2014  7 relations: 7428
Sat Dec 20 01:22:33 2014  8 relations: 6467
Sat Dec 20 01:22:33 2014  9 relations: 5418
Sat Dec 20 01:22:33 2014  10+ relations: 18479
Sat Dec 20 01:22:33 2014  heaviest cycle: 18 relations
Sat Dec 20 01:22:33 2014  commencing cycle optimization
Sat Dec 20 01:22:34 2014  start with 550452 relations
Sat Dec 20 01:22:35 2014  pruned 38168 relations
Sat Dec 20 01:22:35 2014  memory use: 14.4 MB
Sat Dec 20 01:22:35 2014  distribution of cycle lengths:
Sat Dec 20 01:22:35 2014  1 relations: 3846
Sat Dec 20 01:22:35 2014  2 relations: 7179
Sat Dec 20 01:22:35 2014  3 relations: 9607
Sat Dec 20 01:22:35 2014  4 relations: 9711
Sat Dec 20 01:22:35 2014  5 relations: 9705
Sat Dec 20 01:22:35 2014  6 relations: 8961
Sat Dec 20 01:22:35 2014  7 relations: 7928
Sat Dec 20 01:22:35 2014  8 relations: 6717
Sat Dec 20 01:22:35 2014  9 relations: 5428
Sat Dec 20 01:22:35 2014  10+ relations: 14159
Sat Dec 20 01:22:35 2014  heaviest cycle: 18 relations
Sat Dec 20 01:22:35 2014  RelProcTime: 129
Sat Dec 20 01:22:35 2014  
Sat Dec 20 01:22:35 2014  commencing linear algebra
Sat Dec 20 01:22:35 2014  read 83241 cycles
Sat Dec 20 01:22:35 2014  cycles contain 205043 unique relations
Sat Dec 20 01:22:44 2014  read 205043 relations
Sat Dec 20 01:22:45 2014  using 20 quadratic characters above 66913490
Sat Dec 20 01:22:47 2014  building initial matrix
Sat Dec 20 01:22:51 2014  memory use: 26.9 MB
Sat Dec 20 01:22:51 2014  read 83241 cycles
Sat Dec 20 01:22:51 2014  matrix is 83067 x 83241 (24.0 MB) with weight 7274506 (87.39/col)
Sat Dec 20 01:22:51 2014  sparse part has weight 5371471 (64.53/col)
Sat Dec 20 01:22:52 2014  filtering completed in 2 passes
Sat Dec 20 01:22:52 2014  matrix is 83046 x 83222 (24.0 MB) with weight 7273623 (87.40/col)
Sat Dec 20 01:22:52 2014  sparse part has weight 5371029 (64.54/col)
Sat Dec 20 01:22:53 2014  matrix starts at (0, 0)
Sat Dec 20 01:22:53 2014  matrix is 83046 x 83222 (24.0 MB) with weight 7273623 (87.40/col)
Sat Dec 20 01:22:53 2014  sparse part has weight 5371029 (64.54/col)
Sat Dec 20 01:22:53 2014  saving the first 48 matrix rows for later
Sat Dec 20 01:22:53 2014  matrix includes 64 packed rows
Sat Dec 20 01:22:53 2014  matrix is 82998 x 83222 (22.4 MB) with weight 5660391 (68.02/col)
Sat Dec 20 01:22:53 2014  sparse part has weight 5029874 (60.44/col)
Sat Dec 20 01:22:53 2014  using block size 33199 for processor cache size 8192 kB
Sat Dec 20 01:22:54 2014  commencing Lanczos iteration
Sat Dec 20 01:22:54 2014  memory use: 16.4 MB
Sat Dec 20 01:23:33 2014  linear algebra at 57.9%, ETA 0h 0m
Sat Dec 20 01:23:55 2014  lanczos halted after 1314 iterations (dim = 82995)
Sat Dec 20 01:23:55 2014  recovered 35 nontrivial dependencies
Sat Dec 20 01:23:55 2014  BLanczosTime: 80
Sat Dec 20 01:23:55 2014  
Sat Dec 20 01:23:55 2014  commencing square root phase
Sat Dec 20 01:23:55 2014  reading relations for dependency 1
Sat Dec 20 01:23:55 2014  read 41607 cycles
Sat Dec 20 01:23:55 2014  cycles contain 102298 unique relations
Sat Dec 20 01:24:04 2014  read 102298 relations
Sat Dec 20 01:24:05 2014  multiplying 102298 relations
Sat Dec 20 01:24:09 2014  multiply complete, coefficients have about 2.68 million bits
Sat Dec 20 01:24:09 2014  initial square root is modulo 1529041
Sat Dec 20 01:24:15 2014  GCD is 1, no factor found
Sat Dec 20 01:24:15 2014  reading relations for dependency 2
Sat Dec 20 01:24:15 2014  read 41657 cycles
Sat Dec 20 01:24:15 2014  cycles contain 102682 unique relations
Sat Dec 20 01:24:24 2014  read 102682 relations
Sat Dec 20 01:24:24 2014  multiplying 102682 relations
Sat Dec 20 01:24:28 2014  multiply complete, coefficients have about 2.69 million bits
Sat Dec 20 01:24:28 2014  initial square root is modulo 1607821
Sat Dec 20 01:24:34 2014  sqrtTime: 39
--
n: 10989629516654114598518731727949141141340874321545665589778536030360428312687641951372131694750903801465749003933427309
m: 5000000000000000000000000
deg: 5
c5: 184
c0: -5
skew: 0.49
# Murphy_E = 1.242e-08
type: snfs
lss: 1
rlim: 870000
alim: 870000
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
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 18:01:23 UTC 2014 年 12 月 20 日 (土) 3 時 1 分 23 秒 (日本時間)

115×10128-13

c128

name 名前Serge Batalov
date 日付December 19, 2014 18:46:45 UTC 2014 年 12 月 20 日 (土) 3 時 46 分 45 秒 (日本時間)
composite number 合成数
81560283687943262411347517730496453900709219858156028368794326241134751773049645390070921985815602836879432624113475177304964539<128>
prime factors 素因数
61467034603987457172376704997635542633<38>
1326894720290481144212160462613357773267958157793983216030014499019066099139931972249022083<91>
factorization results 素因数分解の結果
Divisors found:
 r1=61467034603987457172376704997635542633 (pp38)
 r2=1326894720290481144212160462613357773267958157793983216030014499019066099139931972249022083 (pp91)
Version: Msieve v. 1.51 (SVN 719M)
Total time: 1.52 hours.
Scaled time: 3.66 units (timescale=2.400).
Factorization parameters were as follows:
n: 81560283687943262411347517730496453900709219858156028368794326241134751773049645390070921985815602836879432624113475177304964539
m: 50000000000000000000000000
deg: 5
c5: 184
c0: -5
skew: 0.49
# Murphy_E = 8.228e-09
type: snfs
lss: 1
rlim: 1060000
alim: 1060000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1060000/1060000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [530000, 1030001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 111722 x 111949
Total sieving time: 1.48 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,130.000,5,0,0,0,0,0,0,0,0,1060000,1060000,26,26,47,47,2.3,2.3,50000
total time: 1.52 hours.

ECM

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

115×10130-13

c121

name 名前KTakahashi
date 日付December 19, 2014 14:29:52 UTC 2014 年 12 月 19 日 (金) 23 時 29 分 52 秒 (日本時間)
composite number 合成数
5336045455962106489795793986068601325377992301760264185701798024097029680505991287661028298131476747851919073906875969859<121>
prime factors 素因数
4493099675456631875925942837497<31>
1187608965167194155372266566814619871242965216729970438028276826332944400404315284489547547<91>
factorization results 素因数分解の結果
Input number is 5336045455962106489795793986068601325377992301760264185701798024097029680505991287661028298131476747851919073906875969859 (121 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1585847012
Step 1 took 3417ms
Step 2 took 2075ms
********** Factor found in step 2: 4493099675456631875925942837497
Found probable prime factor of 31 digits: 4493099675456631875925942837497
Probable prime cofactor 1187608965167194155372266566814619871242965216729970438028276826332944400404315284489547547 has 91 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)

115×10135-13

c108

name 名前KTakahashi
date 日付December 19, 2014 15:27:09 UTC 2014 年 12 月 20 日 (土) 0 時 27 分 9 秒 (日本時間)
composite number 合成数
142253519317265159725749654114662565434385105918874600079497874196155541989485074501392740019166539295630571<108>
prime factors 素因数
757301994378916813842188632566013<33>
composite cofactor 合成数の残り
187842525667624834480105323377829884434435732256555871498089935825794792967<75>
factorization results 素因数分解の結果
Input number is 142253519317265159725749654114662565434385105918874600079497874196155541989485074501392740019166539295630571 (108 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=880026337
Step 1 took 2933ms
Step 2 took 1779ms
********** Factor found in step 2: 757301994378916813842188632566013
Found probable prime factor of 33 digits: 757301994378916813842188632566013
Composite cofactor 187842525667624834480105323377829884434435732256555871498089935825794792967 has 75 digits
software ソフトウェア
GMP-ECM 6.4.4

c75

name 名前KTakahashi
date 日付December 20, 2014 12:35:58 UTC 2014 年 12 月 20 日 (土) 21 時 35 分 58 秒 (日本時間)
composite number 合成数
187842525667624834480105323377829884434435732256555871498089935825794792967<75>
prime factors 素因数
8669190683121783666968670104161187<34>
21667827197911231713150703759699463268941<41>
factorization results 素因数分解の結果
// 昨日投稿するはずでしたが、また忘れてしまいました…。申し訳ありません。
// I intended to submit the result yesterday, but I forgot it again. I apologize.

Msieve v. 1.51 (SVN Official Release)
Sat Dec 20 12:31:54 2014
random seeds: eeb8860c 68f7de78
factoring 187842525667624834480105323377829884434435732256555871498089935825794792967 (75 digits)
searching for 15-digit factors
commencing quadratic sieve (75-digit input)
using multiplier of 3
using VC8 64kb sieve core
sieve interval: 6 blocks of size 65536
processing polynomials in batches of 17
using a sieve bound of 609859 (24875 primes)
using large prime bound of 60985900 (25 bits)
using trial factoring cutoff of 26 bits
polynomial 'A' values have 9 factors
25009 relations (12512 full + 12497 combined from 137276 partial), need 24971
begin with 149788 relations
reduce to 35944 relations in 2 passes
attempting to read 35944 relations
recovered 35944 relations
recovered 28898 polynomials
attempting to build 25009 cycles
found 25009 cycles in 1 passes
distribution of cycle lengths:
   length 1 : 12512
   length 2 : 12497
largest cycle: 2 relations
matrix is 24875 x 25009 (3.5 MB) with weight 722056 (28.87/col)
sparse part has weight 722056 (28.87/col)
filtering completed in 3 passes
matrix is 18368 x 18432 (2.8 MB) with weight 590146 (32.02/col)
sparse part has weight 590146 (32.02/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 18320 x 18432 (2.1 MB) with weight 454874 (24.68/col)
sparse part has weight 355798 (19.30/col)
commencing Lanczos iteration
memory use: 2.1 MB
lanczos halted after 291 iterations (dim = 18320)
recovered 18 nontrivial dependencies
prp34 factor: 8669190683121783666968670104161187
prp41 factor: 21667827197911231713150703759699463268941
elapsed time 00:03:18

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)

115×10138-13

c119

name 名前Cyp
date 日付December 21, 2014 00:01:34 UTC 2014 年 12 月 21 日 (日) 9 時 1 分 34 秒 (日本時間)
composite number 合成数
27032810532476419810534482660603743436890837730644776526484435959405436361710539071975092990831157372381688109102309809<119>
prime factors 素因数
166258704035439651432970695732939763<36>
257922229228247059635862204160884727<36>
630402658352752998785017962795602748471281762509<48>
factorization results 素因数分解の結果
12/20/14 23:53:06 v1.34.3, 
12/20/14 23:53:06 v1.34.3, ****************************
12/20/14 23:53:06 v1.34.3, Starting factorization of 27032810532476419810534482660603743436890837730644776526484435959405436361710539071975092990831157372381688109102309809
12/20/14 23:53:06 v1.34.3, using pretesting plan: none
12/20/14 23:53:06 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/20/14 23:53:06 v1.34.3, ****************************
12/20/14 23:53:06 v1.34.3, nfs: commencing nfs on c119: 27032810532476419810534482660603743436890837730644776526484435959405436361710539071975092990831157372381688109102309809
12/20/14 23:53:06 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/20/14 23:53:06 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 23:54:34 v1.34.3, nfs: commencing lattice sieving with 8 threads
[38 lines snipped]
12/21/14 00:51:44 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 00:53:19 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 00:54:54 v1.34.3, nfs: commencing msieve filtering
12/21/14 00:56:18 v1.34.3, nfs: commencing msieve linear algebra
12/21/14 01:00:16 v1.34.3, nfs: commencing msieve sqrt
12/21/14 01:01:05 v1.34.3, prp48 = 630402658352752998785017962795602748471281762509
12/21/14 01:01:05 v1.34.3, C71 = 42881815573419950227533004155588146409195088830836139282411730677699701
12/21/14 01:01:05 v1.34.3, NFS elapsed time = 4078.5762 seconds.
12/21/14 01:01:05 v1.34.3, 
12/21/14 01:01:05 v1.34.3, 
12/21/14 01:01:05 v1.34.3, 
12/21/14 01:01:05 v1.34.3, ****************************
12/21/14 01:01:05 v1.34.3, Starting factorization of 42881815573419950227533004155588146409195088830836139282411730677699701
12/21/14 01:01:05 v1.34.3, using pretesting plan: normal
12/21/14 01:01:05 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/21/14 01:01:05 v1.34.3, ****************************
12/21/14 01:01:05 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C71
12/21/14 01:01:05 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C71
12/21/14 01:01:05 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C71
12/21/14 01:01:05 v1.34.3, pm1: starting B1 = 150K, B2 = gmp-ecm default on C71
12/21/14 01:01:05 v1.34.3, current ECM pretesting depth: 0.00
12/21/14 01:01:05 v1.34.3, scheduled 30 curves at B1=2000 toward target pretesting depth of 21.85
12/21/14 01:01:05 v1.34.3, Finished 30 curves using Lenstra ECM method on C71 input, B1=2K, B2=gmp-ecm default
12/21/14 01:01:05 v1.34.3, current ECM pretesting depth: 15.18
12/21/14 01:01:05 v1.34.3, scheduled 74 curves at B1=11000 toward target pretesting depth of 21.85
12/21/14 01:01:08 v1.34.3, Finished 74 curves using Lenstra ECM method on C71 input, B1=11K, B2=gmp-ecm default
12/21/14 01:01:08 v1.34.3, current ECM pretesting depth: 20.24
12/21/14 01:01:08 v1.34.3, scheduled 69 curves at B1=50000 toward target pretesting depth of 21.85
12/21/14 01:01:21 v1.34.3, Finished 69 curves using Lenstra ECM method on C71 input, B1=50K, B2=gmp-ecm default
12/21/14 01:01:21 v1.34.3, final ECM pretested depth: 21.86
12/21/14 01:01:21 v1.34.3, scheduler: switching to sieve method
12/21/14 01:01:21 v1.34.3, starting SIQS on c71: 42881815573419950227533004155588146409195088830836139282411730677699701
12/21/14 01:01:21 v1.34.3, random seeds: 81545743, 3668652082
12/21/14 01:01:21 v1.34.3, ==== sieve params ====
12/21/14 01:01:21 v1.34.3, n = 71 digits, 235 bits
12/21/14 01:01:21 v1.34.3, factor base: 14816 primes (max prime = 345517)
12/21/14 01:01:21 v1.34.3, single large prime cutoff: 25913775 (75 * pmax)
12/21/14 01:01:21 v1.34.3, allocating 5 large prime slices of factor base
12/21/14 01:01:21 v1.34.3, buckets hold 2048 elements
12/21/14 01:01:21 v1.34.3, using 32k sieve core
12/21/14 01:01:21 v1.34.3, sieve interval: 8 blocks of size 32768
12/21/14 01:01:21 v1.34.3, polynomial A has ~ 9 factors
12/21/14 01:01:21 v1.34.3, using multiplier of 1
12/21/14 01:01:21 v1.34.3, using SPV correction of 20 bits, starting at offset 32
12/21/14 01:01:21 v1.34.3, using SSE2 for trial division and x64 sieve scanning
12/21/14 01:01:21 v1.34.3, using SSE4.1 enabled 32k sieve core
12/21/14 01:01:21 v1.34.3, using SSE2 for resieving 13-16 bit primes
12/21/14 01:01:21 v1.34.3, trial factoring cutoff at 83 bits
12/21/14 01:01:21 v1.34.3, ==== sieving started ( 8 threads) ====
12/21/14 01:01:32 v1.34.3, 15572 relations found: 7721 full + 7851 from 77528 partial, using 32893 polys (258 A polys)
12/21/14 01:01:32 v1.34.3, on average, sieving found 2.59 rels/poly and 7707.01 rels/sec
12/21/14 01:01:32 v1.34.3, trial division touched 997214 sieve locations out of 0
12/21/14 01:01:32 v1.34.3, ==== post processing stage (msieve-1.38) ====
12/21/14 01:01:32 v1.34.3, begin with 85249 relations
12/21/14 01:01:32 v1.34.3, reduce to 22383 relations in 2 passes
12/21/14 01:01:32 v1.34.3, recovered 22383 relations
12/21/14 01:01:32 v1.34.3, recovered 16281 polynomials
12/21/14 01:01:32 v1.34.3, freed 7 duplicate relations
12/21/14 01:01:32 v1.34.3, attempting to build 15565 cycles
12/21/14 01:01:32 v1.34.3, found 15565 cycles in 1 passes
12/21/14 01:01:32 v1.34.3, distribution of cycle lengths:
12/21/14 01:01:32 v1.34.3,    length 1 : 7720
12/21/14 01:01:32 v1.34.3,    length 2 : 7845
12/21/14 01:01:32 v1.34.3, largest cycle: 2 relations
12/21/14 01:01:32 v1.34.3, matrix is 14816 x 15565 (2.1 MB) with weight 423047 (27.18/col)
12/21/14 01:01:32 v1.34.3, sparse part has weight 423047 (27.18/col)
12/21/14 01:01:32 v1.34.3, filtering completed in 4 passes
12/21/14 01:01:32 v1.34.3, matrix is 13121 x 13185 (1.7 MB) with weight 347016 (26.32/col)
12/21/14 01:01:32 v1.34.3, sparse part has weight 347016 (26.32/col)
12/21/14 01:01:32 v1.34.3, saving the first 48 matrix rows for later
12/21/14 01:01:32 v1.34.3, matrix is 13073 x 13185 (1.5 MB) with weight 281857 (21.38/col)
12/21/14 01:01:32 v1.34.3, sparse part has weight 250438 (18.99/col)
12/21/14 01:01:32 v1.34.3, matrix includes 64 packed rows
12/21/14 01:01:32 v1.34.3, commencing Lanczos iteration
12/21/14 01:01:32 v1.34.3, memory use: 2.0 MB
12/21/14 01:01:33 v1.34.3, lanczos halted after 208 iterations (dim = 13069)
12/21/14 01:01:33 v1.34.3, recovered 14 nontrivial dependencies
12/21/14 01:01:33 v1.34.3, prp36 = 257922229228247059635862204160884727
12/21/14 01:01:33 v1.34.3, prp36 = 166258704035439651432970695732939763
12/21/14 01:01:33 v1.34.3, Lanczos elapsed time = 1.2937 seconds.
12/21/14 01:01:33 v1.34.3, Sqrt elapsed time = 0.0194 seconds.
12/21/14 01:01:33 v1.34.3, SIQS elapsed time = 12.4288 seconds.
12/21/14 01:01:33 v1.34.3, 
12/21/14 01:01:33 v1.34.3, 
12/21/14 01:01:33 v1.34.3, Total factoring time = 28.5371 seconds
12/21/14 01:01:33 v1.34.3, Total factoring time = 4107.1357 seconds
--
Sun Dec 21 00:54:54 2014  
Sun Dec 21 00:54:54 2014  commencing relation filtering
Sun Dec 21 00:54:54 2014  estimated available RAM is 15987.3 MB
Sun Dec 21 00:54:54 2014  commencing duplicate removal, pass 1
Sun Dec 21 00:55:17 2014  found 606659 hash collisions in 4544864 relations
Sun Dec 21 00:55:24 2014  added 178668 free relations
Sun Dec 21 00:55:24 2014  commencing duplicate removal, pass 2
Sun Dec 21 00:55:30 2014  found 429925 duplicates and 4293607 unique relations
Sun Dec 21 00:55:30 2014  memory use: 20.6 MB
Sun Dec 21 00:55:30 2014  reading ideals above 100000
Sun Dec 21 00:55:30 2014  commencing singleton removal, initial pass
Sun Dec 21 00:56:04 2014  memory use: 94.1 MB
Sun Dec 21 00:56:04 2014  reading all ideals from disk
Sun Dec 21 00:56:04 2014  memory use: 134.2 MB
Sun Dec 21 00:56:05 2014  keeping 4496883 ideals with weight <= 200, target excess is 22517
Sun Dec 21 00:56:05 2014  commencing in-memory singleton removal
Sun Dec 21 00:56:05 2014  begin with 4293607 relations and 4496883 unique ideals
Sun Dec 21 00:56:07 2014  reduce to 1951298 relations and 1542475 ideals in 11 passes
Sun Dec 21 00:56:07 2014  max relations containing the same ideal: 122
Sun Dec 21 00:56:08 2014  removing 588391 relations and 397039 ideals in 191352 cliques
Sun Dec 21 00:56:08 2014  commencing in-memory singleton removal
Sun Dec 21 00:56:08 2014  begin with 1362907 relations and 1542475 unique ideals
Sun Dec 21 00:56:09 2014  reduce to 1261528 relations and 1032364 ideals in 8 passes
Sun Dec 21 00:56:09 2014  max relations containing the same ideal: 89
Sun Dec 21 00:56:09 2014  removing 501211 relations and 309859 ideals in 191352 cliques
Sun Dec 21 00:56:09 2014  commencing in-memory singleton removal
Sun Dec 21 00:56:09 2014  begin with 760317 relations and 1032364 unique ideals
Sun Dec 21 00:56:10 2014  reduce to 668982 relations and 618340 ideals in 9 passes
Sun Dec 21 00:56:10 2014  max relations containing the same ideal: 54
Sun Dec 21 00:56:10 2014  removing 93883 relations and 69361 ideals in 24522 cliques
Sun Dec 21 00:56:10 2014  commencing in-memory singleton removal
Sun Dec 21 00:56:10 2014  begin with 575099 relations and 618340 unique ideals
Sun Dec 21 00:56:10 2014  reduce to 562652 relations and 536061 ideals in 6 passes
Sun Dec 21 00:56:10 2014  max relations containing the same ideal: 49
Sun Dec 21 00:56:11 2014  relations with 0 large ideals: 551
Sun Dec 21 00:56:11 2014  relations with 1 large ideals: 251
Sun Dec 21 00:56:11 2014  relations with 2 large ideals: 4047
Sun Dec 21 00:56:11 2014  relations with 3 large ideals: 25485
Sun Dec 21 00:56:11 2014  relations with 4 large ideals: 82501
Sun Dec 21 00:56:11 2014  relations with 5 large ideals: 148073
Sun Dec 21 00:56:11 2014  relations with 6 large ideals: 162137
Sun Dec 21 00:56:11 2014  relations with 7+ large ideals: 139607
Sun Dec 21 00:56:11 2014  commencing 2-way merge
Sun Dec 21 00:56:11 2014  reduce to 365626 relation sets and 339035 unique ideals
Sun Dec 21 00:56:11 2014  commencing full merge
Sun Dec 21 00:56:16 2014  memory use: 44.5 MB
Sun Dec 21 00:56:16 2014  found 184917 cycles, need 181235
Sun Dec 21 00:56:16 2014  weight of 181235 cycles is about 13019974 (71.84/cycle)
Sun Dec 21 00:56:16 2014  distribution of cycle lengths:
Sun Dec 21 00:56:16 2014  1 relations: 11144
Sun Dec 21 00:56:16 2014  2 relations: 15639
Sun Dec 21 00:56:16 2014  3 relations: 18695
Sun Dec 21 00:56:16 2014  4 relations: 18980
Sun Dec 21 00:56:16 2014  5 relations: 18881
Sun Dec 21 00:56:16 2014  6 relations: 17663
Sun Dec 21 00:56:16 2014  7 relations: 15877
Sun Dec 21 00:56:16 2014  8 relations: 13625
Sun Dec 21 00:56:16 2014  9 relations: 11473
Sun Dec 21 00:56:16 2014  10+ relations: 39258
Sun Dec 21 00:56:16 2014  heaviest cycle: 21 relations
Sun Dec 21 00:56:16 2014  commencing cycle optimization
Sun Dec 21 00:56:17 2014  start with 1186035 relations
Sun Dec 21 00:56:18 2014  pruned 43722 relations
Sun Dec 21 00:56:18 2014  memory use: 35.3 MB
Sun Dec 21 00:56:18 2014  distribution of cycle lengths:
Sun Dec 21 00:56:18 2014  1 relations: 11144
Sun Dec 21 00:56:18 2014  2 relations: 16018
Sun Dec 21 00:56:18 2014  3 relations: 19461
Sun Dec 21 00:56:18 2014  4 relations: 19758
Sun Dec 21 00:56:18 2014  5 relations: 19672
Sun Dec 21 00:56:18 2014  6 relations: 18357
Sun Dec 21 00:56:18 2014  7 relations: 16511
Sun Dec 21 00:56:18 2014  8 relations: 13929
Sun Dec 21 00:56:18 2014  9 relations: 11661
Sun Dec 21 00:56:18 2014  10+ relations: 34724
Sun Dec 21 00:56:18 2014  heaviest cycle: 20 relations
Sun Dec 21 00:56:18 2014  RelProcTime: 84
Sun Dec 21 00:56:18 2014  
Sun Dec 21 00:56:18 2014  commencing linear algebra
Sun Dec 21 00:56:18 2014  read 181235 cycles
Sun Dec 21 00:56:19 2014  cycles contain 546428 unique relations
Sun Dec 21 00:56:25 2014  read 546428 relations
Sun Dec 21 00:56:25 2014  using 20 quadratic characters above 67107632
Sun Dec 21 00:56:28 2014  building initial matrix
Sun Dec 21 00:56:34 2014  memory use: 68.2 MB
Sun Dec 21 00:56:34 2014  read 181235 cycles
Sun Dec 21 00:56:34 2014  matrix is 181058 x 181235 (54.5 MB) with weight 16386245 (90.41/col)
Sun Dec 21 00:56:34 2014  sparse part has weight 12284620 (67.78/col)
Sun Dec 21 00:56:35 2014  filtering completed in 2 passes
Sun Dec 21 00:56:35 2014  matrix is 181020 x 181197 (54.5 MB) with weight 16384992 (90.43/col)
Sun Dec 21 00:56:35 2014  sparse part has weight 12284178 (67.79/col)
Sun Dec 21 00:56:35 2014  matrix starts at (0, 0)
Sun Dec 21 00:56:35 2014  matrix is 181020 x 181197 (54.5 MB) with weight 16384992 (90.43/col)
Sun Dec 21 00:56:35 2014  sparse part has weight 12284178 (67.79/col)
Sun Dec 21 00:56:35 2014  saving the first 48 matrix rows for later
Sun Dec 21 00:56:36 2014  matrix includes 64 packed rows
Sun Dec 21 00:56:36 2014  matrix is 180972 x 181197 (51.2 MB) with weight 12898618 (71.19/col)
Sun Dec 21 00:56:36 2014  sparse part has weight 11599363 (64.02/col)
Sun Dec 21 00:56:36 2014  using block size 65536 for processor cache size 8192 kB
Sun Dec 21 00:56:36 2014  commencing Lanczos iteration
Sun Dec 21 00:56:36 2014  memory use: 38.6 MB
Sun Dec 21 00:56:53 2014  linear algebra at 6.7%, ETA 0h 3m
Sun Dec 21 01:00:16 2014  lanczos halted after 2862 iterations (dim = 180971)
Sun Dec 21 01:00:16 2014  recovered 38 nontrivial dependencies
Sun Dec 21 01:00:16 2014  BLanczosTime: 238
Sun Dec 21 01:00:16 2014  
Sun Dec 21 01:00:16 2014  commencing square root phase
Sun Dec 21 01:00:16 2014  reading relations for dependency 1
Sun Dec 21 01:00:16 2014  read 90555 cycles
Sun Dec 21 01:00:16 2014  cycles contain 273176 unique relations
Sun Dec 21 01:00:22 2014  read 273176 relations
Sun Dec 21 01:00:23 2014  multiplying 273176 relations
Sun Dec 21 01:00:30 2014  multiply complete, coefficients have about 7.32 million bits
Sun Dec 21 01:00:30 2014  initial square root is modulo 261435101
Sun Dec 21 01:00:40 2014  GCD is N, no factor found
Sun Dec 21 01:00:40 2014  reading relations for dependency 2
Sun Dec 21 01:00:40 2014  read 90580 cycles
Sun Dec 21 01:00:41 2014  cycles contain 273372 unique relations
Sun Dec 21 01:00:46 2014  read 273372 relations
Sun Dec 21 01:00:47 2014  multiplying 273372 relations
Sun Dec 21 01:00:54 2014  multiply complete, coefficients have about 7.32 million bits
Sun Dec 21 01:00:54 2014  initial square root is modulo 264379201
Sun Dec 21 01:01:05 2014  sqrtTime: 49
--
n: 27032810532476419810534482660603743436890837730644776526484435959405436361710539071975092990831157372381688109102309809
m: 5000000000000000000000000000
deg: 5
c5: 184
c0: -5
skew: 0.49
# Murphy_E = 3.548e-09
type: snfs
lss: 1
rlim: 1550000
alim: 1550000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:23:52 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 52 秒 (日本時間)

115×10139-13

c112

name 名前Cyp
date 日付December 21, 2014 04:37:34 UTC 2014 年 12 月 21 日 (日) 13 時 37 分 34 秒 (日本時間)
composite number 合成数
1407774334704623519655397609885893368795840364262054886212009672215326045314776878889016083220078321401679597957<112>
prime factors 素因数
372167544747996231331930812758792253873342558743<48>
3782635951390823278008329399709326700586192806327083727495816899<64>
factorization results 素因数分解の結果
12/21/14 04:38:36 v1.34.3, 
12/21/14 04:38:36 v1.34.3, ****************************
12/21/14 04:38:36 v1.34.3, Starting factorization of 1407774334704623519655397609885893368795840364262054886212009672215326045314776878889016083220078321401679597957
12/21/14 04:38:36 v1.34.3, using pretesting plan: none
12/21/14 04:38:36 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/21/14 04:38:36 v1.34.3, ****************************
12/21/14 04:38:36 v1.34.3, nfs: commencing nfs on c112: 1407774334704623519655397609885893368795840364262054886212009672215326045314776878889016083220078321401679597957
12/21/14 04:38:36 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/21/14 04:38:36 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 04:39:10 v1.34.3, nfs: commencing lattice sieving with 8 threads
[108 lines snipped]
12/21/14 05:34:09 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 05:34:31 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 05:34:52 v1.34.3, nfs: commencing msieve filtering
12/21/14 05:35:50 v1.34.3, nfs: commencing msieve linear algebra
12/21/14 05:37:19 v1.34.3, nfs: commencing msieve sqrt
12/21/14 05:37:33 v1.34.3, prp64 = 3782635951390823278008329399709326700586192806327083727495816899
12/21/14 05:37:33 v1.34.3, prp48 = 372167544747996231331930812758792253873342558743
12/21/14 05:37:33 v1.34.3, NFS elapsed time = 3537.3150 seconds.
12/21/14 05:37:33 v1.34.3, 
12/21/14 05:37:33 v1.34.3, 
12/21/14 05:37:33 v1.34.3, Total factoring time = 3537.3155 seconds
--
Sun Dec 21 05:34:52 2014  
Sun Dec 21 05:34:52 2014  commencing relation filtering
Sun Dec 21 05:34:52 2014  estimated available RAM is 15987.3 MB
Sun Dec 21 05:34:52 2014  commencing duplicate removal, pass 1
Sun Dec 21 05:35:04 2014  found 722757 hash collisions in 4494026 relations
Sun Dec 21 05:35:08 2014  added 177602 free relations
Sun Dec 21 05:35:08 2014  commencing duplicate removal, pass 2
Sun Dec 21 05:35:12 2014  found 596170 duplicates and 4075458 unique relations
Sun Dec 21 05:35:12 2014  memory use: 20.6 MB
Sun Dec 21 05:35:12 2014  reading ideals above 100000
Sun Dec 21 05:35:12 2014  commencing singleton removal, initial pass
Sun Dec 21 05:35:38 2014  memory use: 94.1 MB
Sun Dec 21 05:35:38 2014  reading all ideals from disk
Sun Dec 21 05:35:38 2014  memory use: 125.0 MB
Sun Dec 21 05:35:38 2014  keeping 4460175 ideals with weight <= 200, target excess is 20289
Sun Dec 21 05:35:38 2014  commencing in-memory singleton removal
Sun Dec 21 05:35:38 2014  begin with 4075458 relations and 4460175 unique ideals
Sun Dec 21 05:35:40 2014  reduce to 1680874 relations and 1413244 ideals in 14 passes
Sun Dec 21 05:35:40 2014  max relations containing the same ideal: 108
Sun Dec 21 05:35:40 2014  removing 446689 relations and 324642 ideals in 122047 cliques
Sun Dec 21 05:35:41 2014  commencing in-memory singleton removal
Sun Dec 21 05:35:41 2014  begin with 1234185 relations and 1413244 unique ideals
Sun Dec 21 05:35:41 2014  reduce to 1153977 relations and 1001109 ideals in 9 passes
Sun Dec 21 05:35:41 2014  max relations containing the same ideal: 84
Sun Dec 21 05:35:41 2014  removing 367658 relations and 245611 ideals in 122047 cliques
Sun Dec 21 05:35:41 2014  commencing in-memory singleton removal
Sun Dec 21 05:35:41 2014  begin with 786319 relations and 1001109 unique ideals
Sun Dec 21 05:35:42 2014  reduce to 721412 relations and 683704 ideals in 7 passes
Sun Dec 21 05:35:42 2014  max relations containing the same ideal: 63
Sun Dec 21 05:35:42 2014  removing 63561 relations and 49389 ideals in 14172 cliques
Sun Dec 21 05:35:42 2014  commencing in-memory singleton removal
Sun Dec 21 05:35:42 2014  begin with 657851 relations and 683704 unique ideals
Sun Dec 21 05:35:42 2014  reduce to 654069 relations and 630445 ideals in 5 passes
Sun Dec 21 05:35:42 2014  max relations containing the same ideal: 59
Sun Dec 21 05:35:42 2014  relations with 0 large ideals: 484
Sun Dec 21 05:35:42 2014  relations with 1 large ideals: 218
Sun Dec 21 05:35:42 2014  relations with 2 large ideals: 3998
Sun Dec 21 05:35:42 2014  relations with 3 large ideals: 27367
Sun Dec 21 05:35:42 2014  relations with 4 large ideals: 92593
Sun Dec 21 05:35:42 2014  relations with 5 large ideals: 173074
Sun Dec 21 05:35:42 2014  relations with 6 large ideals: 192902
Sun Dec 21 05:35:42 2014  relations with 7+ large ideals: 163433
Sun Dec 21 05:35:42 2014  commencing 2-way merge
Sun Dec 21 05:35:42 2014  reduce to 422583 relation sets and 398959 unique ideals
Sun Dec 21 05:35:42 2014  commencing full merge
Sun Dec 21 05:35:47 2014  memory use: 51.1 MB
Sun Dec 21 05:35:47 2014  found 214174 cycles, need 211159
Sun Dec 21 05:35:47 2014  weight of 211159 cycles is about 14926358 (70.69/cycle)
Sun Dec 21 05:35:47 2014  distribution of cycle lengths:
Sun Dec 21 05:35:47 2014  1 relations: 10465
Sun Dec 21 05:35:47 2014  2 relations: 17870
Sun Dec 21 05:35:47 2014  3 relations: 21336
Sun Dec 21 05:35:47 2014  4 relations: 21960
Sun Dec 21 05:35:47 2014  5 relations: 21779
Sun Dec 21 05:35:47 2014  6 relations: 20377
Sun Dec 21 05:35:47 2014  7 relations: 18617
Sun Dec 21 05:35:47 2014  8 relations: 16407
Sun Dec 21 05:35:47 2014  9 relations: 14227
Sun Dec 21 05:35:47 2014  10+ relations: 48121
Sun Dec 21 05:35:47 2014  heaviest cycle: 21 relations
Sun Dec 21 05:35:47 2014  commencing cycle optimization
Sun Dec 21 05:35:47 2014  start with 1417486 relations
Sun Dec 21 05:35:49 2014  pruned 46474 relations
Sun Dec 21 05:35:49 2014  memory use: 41.9 MB
Sun Dec 21 05:35:49 2014  distribution of cycle lengths:
Sun Dec 21 05:35:49 2014  1 relations: 10465
Sun Dec 21 05:35:49 2014  2 relations: 18287
Sun Dec 21 05:35:49 2014  3 relations: 22145
Sun Dec 21 05:35:49 2014  4 relations: 22680
Sun Dec 21 05:35:49 2014  5 relations: 22748
Sun Dec 21 05:35:49 2014  6 relations: 21027
Sun Dec 21 05:35:49 2014  7 relations: 19240
Sun Dec 21 05:35:49 2014  8 relations: 16716
Sun Dec 21 05:35:49 2014  9 relations: 14370
Sun Dec 21 05:35:49 2014  10+ relations: 43481
Sun Dec 21 05:35:49 2014  heaviest cycle: 20 relations
Sun Dec 21 05:35:50 2014  RelProcTime: 58
Sun Dec 21 05:35:50 2014  
Sun Dec 21 05:35:50 2014  commencing linear algebra
Sun Dec 21 05:35:50 2014  read 211159 cycles
Sun Dec 21 05:35:50 2014  cycles contain 641633 unique relations
Sun Dec 21 05:35:55 2014  read 641633 relations
Sun Dec 21 05:35:56 2014  using 20 quadratic characters above 67106478
Sun Dec 21 05:35:58 2014  building initial matrix
Sun Dec 21 05:36:04 2014  memory use: 77.0 MB
Sun Dec 21 05:36:04 2014  read 211159 cycles
Sun Dec 21 05:36:04 2014  matrix is 210982 x 211159 (62.9 MB) with weight 18854127 (89.29/col)
Sun Dec 21 05:36:04 2014  sparse part has weight 14160235 (67.06/col)
Sun Dec 21 05:36:05 2014  filtering completed in 2 passes
Sun Dec 21 05:36:05 2014  matrix is 210970 x 211147 (62.9 MB) with weight 18853689 (89.29/col)
Sun Dec 21 05:36:05 2014  sparse part has weight 14160060 (67.06/col)
Sun Dec 21 05:36:05 2014  matrix starts at (0, 0)
Sun Dec 21 05:36:05 2014  matrix is 210970 x 211147 (62.9 MB) with weight 18853689 (89.29/col)
Sun Dec 21 05:36:05 2014  sparse part has weight 14160060 (67.06/col)
Sun Dec 21 05:36:05 2014  saving the first 48 matrix rows for later
Sun Dec 21 05:36:05 2014  matrix includes 64 packed rows
Sun Dec 21 05:36:05 2014  matrix is 210922 x 211147 (59.0 MB) with weight 14937197 (70.74/col)
Sun Dec 21 05:36:05 2014  sparse part has weight 13365634 (63.30/col)
Sun Dec 21 05:36:05 2014  using block size 65536 for processor cache size 8192 kB
Sun Dec 21 05:36:06 2014  commencing Lanczos iteration (8 threads)
Sun Dec 21 05:36:06 2014  memory use: 55.8 MB
Sun Dec 21 05:36:10 2014  linear algebra at 5.8%, ETA 0h 1m
Sun Dec 21 05:37:18 2014  lanczos halted after 3337 iterations (dim = 210922)
Sun Dec 21 05:37:19 2014  recovered 39 nontrivial dependencies
Sun Dec 21 05:37:19 2014  BLanczosTime: 89
Sun Dec 21 05:37:19 2014  
Sun Dec 21 05:37:19 2014  commencing square root phase
Sun Dec 21 05:37:19 2014  reading relations for dependency 1
Sun Dec 21 05:37:19 2014  read 105696 cycles
Sun Dec 21 05:37:19 2014  cycles contain 320344 unique relations
Sun Dec 21 05:37:22 2014  read 320344 relations
Sun Dec 21 05:37:22 2014  multiplying 320344 relations
Sun Dec 21 05:37:27 2014  multiply complete, coefficients have about 8.57 million bits
Sun Dec 21 05:37:27 2014  initial square root is modulo 84011
Sun Dec 21 05:37:33 2014  sqrtTime: 14
--
n: 1407774334704623519655397609885893368795840364262054886212009672215326045314776878889016083220078321401679597957
m: 5000000000000000000000000000
deg: 5
c5: 368
c0: -1
skew: 0.31
# Murphy_E = 4.186e-09
type: snfs
lss: 1
rlim: 1570000
alim: 1570000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

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

115×10141-13

c143

name 名前Serge Batalov
date 日付December 19, 2014 20:16:26 UTC 2014 年 12 月 20 日 (土) 5 時 16 分 26 秒 (日本時間)
composite number 合成数
38333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<143>
prime factors 素因数
29211210559285571845910352373231197093241791176033<50>
1312281572704218124500974724570924195194912134701068920809764906348422171219208876122004138101<94>
factorization results 素因数分解の結果
Divisors found:
 r1=29211210559285571845910352373231197093241791176033 (pp50)
 r2=1312281572704218124500974724570924195194912134701068920809764906348422171219208876122004138101 (pp94)
Version: Msieve v. 1.51 (SVN 719M)
Total time: 3.21 hours.
Scaled time: 7.70 units (timescale=2.400).
Factorization parameters were as follows:
n: 38333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
m: 10000000000000000000000000000
deg: 5
c5: 1150
c0: -1
skew: 0.24
# Murphy_E = 2.42e-09
type: snfs
lss: 1
rlim: 1700000
alim: 1700000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1700000/1700000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [850000, 1850001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 261132 x 261358
Total sieving time: 3.11 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,143.000,5,0,0,0,0,0,0,0,0,1700000,1700000,26,26,48,48,2.3,2.3,100000
total time: 3.21 hours.

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)
403e62320Serge BatalovDecember 19, 2014 19:06:53 UTC 2014 年 12 月 20 日 (土) 4 時 6 分 53 秒 (日本時間)

115×10143-13

c124

name 名前Cyp
date 日付December 21, 2014 23:02:09 UTC 2014 年 12 月 22 日 (月) 8 時 2 分 9 秒 (日本時間)
composite number 合成数
4122047985666016395452667007519892507931545691030148763592136172715302093239531444302396143542119356185782699130350353795129<124>
prime factors 素因数
438901977885887830784740258473101021<36>
9391727978810172616251783629998612849017157520126580428038831335168494032425958737083149<88>
factorization results 素因数分解の結果
12/21/14 22:34:14 v1.34.3, 
12/21/14 22:34:14 v1.34.3, ****************************
12/21/14 22:34:14 v1.34.3, Starting factorization of 4122047985666016395452667007519892507931545691030148763592136172715302093239531444302396143542119356185782699130350353795129
12/21/14 22:34:14 v1.34.3, using pretesting plan: none
12/21/14 22:34:14 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/21/14 22:34:14 v1.34.3, ****************************
12/21/14 22:34:14 v1.34.3, nfs: commencing nfs on c124: 4122047985666016395452667007519892507931545691030148763592136172715302093239531444302396143542119356185782699130350353795129
12/21/14 22:34:14 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/21/14 22:34:14 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 22:36:00 v1.34.3, nfs: commencing lattice sieving with 8 threads
[48 lines snipped]
12/21/14 23:53:47 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 23:55:28 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 23:57:06 v1.34.3, nfs: commencing msieve filtering
12/21/14 23:58:33 v1.34.3, nfs: commencing msieve linear algebra
12/22/14 00:01:51 v1.34.3, nfs: commencing msieve sqrt
12/22/14 00:02:08 v1.34.3, prp88 = 9391727978810172616251783629998612849017157520126580428038831335168494032425958737083149
12/22/14 00:02:08 v1.34.3, prp36 = 438901977885887830784740258473101021
12/22/14 00:02:08 v1.34.3, NFS elapsed time = 5274.7427 seconds.
12/22/14 00:02:08 v1.34.3, 
12/22/14 00:02:08 v1.34.3, 
12/22/14 00:02:08 v1.34.3, Total factoring time = 5274.7435 seconds
--
Sun Dec 21 23:57:06 2014  
Sun Dec 21 23:57:06 2014  commencing relation filtering
Sun Dec 21 23:57:06 2014  estimated available RAM is 15987.3 MB
Sun Dec 21 23:57:06 2014  commencing duplicate removal, pass 1
Sun Dec 21 23:57:29 2014  found 610584 hash collisions in 4499792 relations
Sun Dec 21 23:57:37 2014  added 182209 free relations
Sun Dec 21 23:57:37 2014  commencing duplicate removal, pass 2
Sun Dec 21 23:57:42 2014  found 441889 duplicates and 4240112 unique relations
Sun Dec 21 23:57:42 2014  memory use: 20.6 MB
Sun Dec 21 23:57:42 2014  reading ideals above 100000
Sun Dec 21 23:57:42 2014  commencing singleton removal, initial pass
Sun Dec 21 23:58:16 2014  memory use: 94.1 MB
Sun Dec 21 23:58:16 2014  reading all ideals from disk
Sun Dec 21 23:58:16 2014  memory use: 135.5 MB
Sun Dec 21 23:58:16 2014  keeping 4655743 ideals with weight <= 200, target excess is 21910
Sun Dec 21 23:58:16 2014  commencing in-memory singleton removal
Sun Dec 21 23:58:17 2014  begin with 4240112 relations and 4655743 unique ideals
Sun Dec 21 23:58:19 2014  reduce to 1756464 relations and 1527279 ideals in 14 passes
Sun Dec 21 23:58:19 2014  max relations containing the same ideal: 114
Sun Dec 21 23:58:20 2014  removing 419690 relations and 317805 ideals in 101885 cliques
Sun Dec 21 23:58:20 2014  commencing in-memory singleton removal
Sun Dec 21 23:58:20 2014  begin with 1336774 relations and 1527279 unique ideals
Sun Dec 21 23:58:20 2014  reduce to 1261894 relations and 1129227 ideals in 7 passes
Sun Dec 21 23:58:20 2014  max relations containing the same ideal: 87
Sun Dec 21 23:58:21 2014  removing 344710 relations and 242825 ideals in 101885 cliques
Sun Dec 21 23:58:21 2014  commencing in-memory singleton removal
Sun Dec 21 23:58:21 2014  begin with 917184 relations and 1129227 unique ideals
Sun Dec 21 23:58:21 2014  reduce to 852376 relations and 816298 ideals in 8 passes
Sun Dec 21 23:58:21 2014  max relations containing the same ideal: 66
Sun Dec 21 23:58:22 2014  removing 58170 relations and 47508 ideals in 10662 cliques
Sun Dec 21 23:58:22 2014  commencing in-memory singleton removal
Sun Dec 21 23:58:22 2014  begin with 794206 relations and 816298 unique ideals
Sun Dec 21 23:58:22 2014  reduce to 791761 relations and 766309 ideals in 6 passes
Sun Dec 21 23:58:22 2014  max relations containing the same ideal: 63
Sun Dec 21 23:58:22 2014  relations with 0 large ideals: 535
Sun Dec 21 23:58:22 2014  relations with 1 large ideals: 156
Sun Dec 21 23:58:22 2014  relations with 2 large ideals: 2720
Sun Dec 21 23:58:22 2014  relations with 3 large ideals: 20914
Sun Dec 21 23:58:22 2014  relations with 4 large ideals: 81448
Sun Dec 21 23:58:22 2014  relations with 5 large ideals: 179538
Sun Dec 21 23:58:22 2014  relations with 6 large ideals: 237955
Sun Dec 21 23:58:22 2014  relations with 7+ large ideals: 268495
Sun Dec 21 23:58:22 2014  commencing 2-way merge
Sun Dec 21 23:58:22 2014  reduce to 489854 relation sets and 464402 unique ideals
Sun Dec 21 23:58:22 2014  commencing full merge
Sun Dec 21 23:58:29 2014  memory use: 61.5 MB
Sun Dec 21 23:58:29 2014  found 249818 cycles, need 246602
Sun Dec 21 23:58:29 2014  weight of 246602 cycles is about 17416607 (70.63/cycle)
Sun Dec 21 23:58:30 2014  distribution of cycle lengths:
Sun Dec 21 23:58:30 2014  1 relations: 20557
Sun Dec 21 23:58:30 2014  2 relations: 23531
Sun Dec 21 23:58:30 2014  3 relations: 25526
Sun Dec 21 23:58:30 2014  4 relations: 24753
Sun Dec 21 23:58:30 2014  5 relations: 23870
Sun Dec 21 23:58:30 2014  6 relations: 21957
Sun Dec 21 23:58:30 2014  7 relations: 20082
Sun Dec 21 23:58:30 2014  8 relations: 17665
Sun Dec 21 23:58:30 2014  9 relations: 15140
Sun Dec 21 23:58:30 2014  10+ relations: 53521
Sun Dec 21 23:58:30 2014  heaviest cycle: 22 relations
Sun Dec 21 23:58:30 2014  commencing cycle optimization
Sun Dec 21 23:58:30 2014  start with 1583429 relations
Sun Dec 21 23:58:32 2014  pruned 47877 relations
Sun Dec 21 23:58:32 2014  memory use: 48.9 MB
Sun Dec 21 23:58:32 2014  distribution of cycle lengths:
Sun Dec 21 23:58:32 2014  1 relations: 20557
Sun Dec 21 23:58:32 2014  2 relations: 23992
Sun Dec 21 23:58:32 2014  3 relations: 26435
Sun Dec 21 23:58:32 2014  4 relations: 25505
Sun Dec 21 23:58:32 2014  5 relations: 24793
Sun Dec 21 23:58:32 2014  6 relations: 22551
Sun Dec 21 23:58:32 2014  7 relations: 20570
Sun Dec 21 23:58:32 2014  8 relations: 17977
Sun Dec 21 23:58:32 2014  9 relations: 15257
Sun Dec 21 23:58:32 2014  10+ relations: 48965
Sun Dec 21 23:58:32 2014  heaviest cycle: 21 relations
Sun Dec 21 23:58:33 2014  RelProcTime: 87
Sun Dec 21 23:58:33 2014  
Sun Dec 21 23:58:33 2014  commencing linear algebra
Sun Dec 21 23:58:33 2014  read 246602 cycles
Sun Dec 21 23:58:33 2014  cycles contain 776750 unique relations
Sun Dec 21 23:58:40 2014  read 776750 relations
Sun Dec 21 23:58:41 2014  using 20 quadratic characters above 67108580
Sun Dec 21 23:58:45 2014  building initial matrix
Sun Dec 21 23:58:54 2014  memory use: 94.9 MB
Sun Dec 21 23:58:54 2014  read 246602 cycles
Sun Dec 21 23:58:54 2014  matrix is 246427 x 246602 (73.5 MB) with weight 22106733 (89.65/col)
Sun Dec 21 23:58:54 2014  sparse part has weight 16568009 (67.19/col)
Sun Dec 21 23:58:56 2014  filtering completed in 2 passes
Sun Dec 21 23:58:56 2014  matrix is 246390 x 246566 (73.5 MB) with weight 22105403 (89.65/col)
Sun Dec 21 23:58:56 2014  sparse part has weight 16567492 (67.19/col)
Sun Dec 21 23:58:56 2014  matrix starts at (0, 0)
Sun Dec 21 23:58:56 2014  matrix is 246390 x 246566 (73.5 MB) with weight 22105403 (89.65/col)
Sun Dec 21 23:58:56 2014  sparse part has weight 16567492 (67.19/col)
Sun Dec 21 23:58:56 2014  saving the first 48 matrix rows for later
Sun Dec 21 23:58:56 2014  matrix includes 64 packed rows
Sun Dec 21 23:58:56 2014  matrix is 246342 x 246566 (69.2 MB) with weight 17375768 (70.47/col)
Sun Dec 21 23:58:56 2014  sparse part has weight 15670861 (63.56/col)
Sun Dec 21 23:58:56 2014  using block size 65536 for processor cache size 8192 kB
Sun Dec 21 23:58:57 2014  commencing Lanczos iteration (8 threads)
Sun Dec 21 23:58:57 2014  memory use: 65.9 MB
Sun Dec 21 23:59:11 2014  linear algebra at 4.9%, ETA 0h 4m
Mon Dec 22 00:01:50 2014  lanczos halted after 3896 iterations (dim = 246341)
Mon Dec 22 00:01:51 2014  recovered 38 nontrivial dependencies
Mon Dec 22 00:01:51 2014  BLanczosTime: 198
Mon Dec 22 00:01:51 2014  
Mon Dec 22 00:01:51 2014  commencing square root phase
Mon Dec 22 00:01:51 2014  reading relations for dependency 1
Mon Dec 22 00:01:51 2014  read 123361 cycles
Mon Dec 22 00:01:51 2014  cycles contain 389038 unique relations
Mon Dec 22 00:01:54 2014  read 389038 relations
Mon Dec 22 00:01:55 2014  multiplying 389038 relations
Mon Dec 22 00:02:01 2014  multiply complete, coefficients have about 10.50 million bits
Mon Dec 22 00:02:01 2014  initial square root is modulo 1089481
Mon Dec 22 00:02:08 2014  sqrtTime: 17
--
n: 4122047985666016395452667007519892507931545691030148763592136172715302093239531444302396143542119356185782699130350353795129
m: 50000000000000000000000000000
deg: 5
c5: 184
c0: -5
skew: 0.49
# Murphy_E = 2.31e-09
type: snfs
lss: 1
rlim: 1880000
alim: 1880000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:23:52 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 52 秒 (日本時間)

115×10144-13

c138

name 名前Serge Batalov
date 日付December 21, 2014 02:00:31 UTC 2014 年 12 月 21 日 (日) 11 時 0 分 31 秒 (日本時間)
composite number 合成数
619680457515146997607499969945497810515370616036251457643356190004525122241804304297224784780531571272491241584597938144218793284174783147<138>
prime factors 素因数
4791538824549121342218657438778259740386259<43>
composite cofactor 合成数の残り
129328067705568109048566691731705279013492166516852906181565705288876650628171811126484637087433<96>
factorization results 素因数分解の結果
Input number is 619680457515146997607499969945497810515370616036251457643356190004525122241804304297224784780531571272491241584597938144218793284174783147 (138 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1532972147
Step 1 took 9142ms
Step 2 took 7098ms
********** Factor found in step 2: 4791538824549121342218657438778259740386259
Found probable prime factor of 43 digits: 4791538824549121342218657438778259740386259
Composite cofactor 129328067705568109048566691731705279013492166516852906181565705288876650628171811126484637087433 has 96 digits

c96

name 名前Cyp
date 日付December 21, 2014 16:14:09 UTC 2014 年 12 月 22 日 (月) 1 時 14 分 9 秒 (日本時間)
composite number 合成数
129328067705568109048566691731705279013492166516852906181565705288876650628171811126484637087433<96>
prime factors 素因数
464934589871405067818660913964923076370291<42>
278164005266501230723878956516103612272689436880030163<54>
factorization results 素因数分解の結果
12/21/14 16:29:44 v1.34.3, 
12/21/14 16:29:44 v1.34.3, ****************************
12/21/14 16:29:44 v1.34.3, Starting factorization of 129328067705568109048566691731705279013492166516852906181565705288876650628171811126484637087433
12/21/14 16:29:44 v1.34.3, using pretesting plan: none
12/21/14 16:29:44 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/21/14 16:29:44 v1.34.3, ****************************
12/21/14 16:29:44 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C96
12/21/14 16:29:44 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C96
12/21/14 16:29:44 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C96
12/21/14 16:29:44 v1.34.3, final ECM pretested depth: 0.00
12/21/14 16:29:44 v1.34.3, scheduler: switching to sieve method
12/21/14 16:29:44 v1.34.3, nfs: commencing nfs on c96: 129328067705568109048566691731705279013492166516852906181565705288876650628171811126484637087433
12/21/14 16:29:44 v1.34.3, nfs: commencing poly selection with 8 threads
12/21/14 16:29:44 v1.34.3, nfs: setting deadline of 99 seconds
12/21/14 16:31:35 v1.34.3, nfs: completed 22 ranges of size 250 in 111.3741 seconds
12/21/14 16:31:35 v1.34.3, nfs: best poly = # norm 4.875494e-13 alpha -5.116888 e 2.221e-08 rroots 2
12/21/14 16:31:35 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 16:35:29 v1.34.3, nfs: commencing lattice sieving with 8 threads
[3 lines snipped]
12/21/14 16:50:30 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 16:54:35 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 16:58:48 v1.34.3, nfs: commencing msieve filtering
12/21/14 16:59:37 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 17:02:48 v1.34.3, nfs: commencing msieve filtering
12/21/14 17:03:34 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 17:06:52 v1.34.3, nfs: commencing msieve filtering
12/21/14 17:08:10 v1.34.3, nfs: commencing msieve linear algebra
12/21/14 17:13:05 v1.34.3, nfs: commencing msieve sqrt
12/21/14 17:14:08 v1.34.3, prp54 = 278164005266501230723878956516103612272689436880030163
12/21/14 17:14:08 v1.34.3, prp42 = 464934589871405067818660913964923076370291
12/21/14 17:14:08 v1.34.3, NFS elapsed time = 2664.4305 seconds.
12/21/14 17:14:08 v1.34.3, 
12/21/14 17:14:08 v1.34.3, 
12/21/14 17:14:08 v1.34.3, Total factoring time = 2664.4811 seconds
--
Sun Dec 21 16:58:48 2014  
Sun Dec 21 16:58:48 2014  commencing relation filtering
Sun Dec 21 16:58:48 2014  estimated available RAM is 15987.3 MB
Sun Dec 21 16:58:48 2014  commencing duplicate removal, pass 1
Sun Dec 21 16:59:08 2014  found 124857 hash collisions in 2264554 relations
Sun Dec 21 16:59:13 2014  added 82665 free relations
Sun Dec 21 16:59:13 2014  commencing duplicate removal, pass 2
Sun Dec 21 16:59:16 2014  found 59190 duplicates and 2288029 unique relations
Sun Dec 21 16:59:16 2014  memory use: 8.2 MB
Sun Dec 21 16:59:16 2014  reading ideals above 100000
Sun Dec 21 16:59:16 2014  commencing singleton removal, initial pass
Sun Dec 21 16:59:36 2014  memory use: 86.1 MB
Sun Dec 21 16:59:36 2014  reading all ideals from disk
Sun Dec 21 16:59:36 2014  memory use: 68.7 MB
Sun Dec 21 16:59:36 2014  keeping 2824101 ideals with weight <= 200, target excess is 29029
Sun Dec 21 16:59:36 2014  commencing in-memory singleton removal
Sun Dec 21 16:59:36 2014  begin with 2288029 relations and 2824101 unique ideals
Sun Dec 21 16:59:37 2014  reduce to 563 relations and 18 ideals in 30 passes
Sun Dec 21 16:59:37 2014  max relations containing the same ideal: 2
Sun Dec 21 17:02:48 2014  
Sun Dec 21 17:02:48 2014  commencing relation filtering
Sun Dec 21 17:02:48 2014  estimated available RAM is 15987.3 MB
Sun Dec 21 17:02:48 2014  commencing duplicate removal, pass 1
Sun Dec 21 17:03:04 2014  found 165101 hash collisions in 2664935 relations
Sun Dec 21 17:03:08 2014  added 1076 free relations
Sun Dec 21 17:03:08 2014  commencing duplicate removal, pass 2
Sun Dec 21 17:03:11 2014  found 75830 duplicates and 2590181 unique relations
Sun Dec 21 17:03:11 2014  memory use: 8.2 MB
Sun Dec 21 17:03:11 2014  reading ideals above 100000
Sun Dec 21 17:03:11 2014  commencing singleton removal, initial pass
Sun Dec 21 17:03:32 2014  memory use: 86.1 MB
Sun Dec 21 17:03:32 2014  reading all ideals from disk
Sun Dec 21 17:03:32 2014  memory use: 77.9 MB
Sun Dec 21 17:03:33 2014  keeping 2964498 ideals with weight <= 200, target excess is 30456
Sun Dec 21 17:03:33 2014  commencing in-memory singleton removal
Sun Dec 21 17:03:33 2014  begin with 2590181 relations and 2964498 unique ideals
Sun Dec 21 17:03:34 2014  reduce to 790027 relations and 785794 ideals in 21 passes
Sun Dec 21 17:03:34 2014  max relations containing the same ideal: 82
Sun Dec 21 17:06:52 2014  
Sun Dec 21 17:06:52 2014  commencing relation filtering
Sun Dec 21 17:06:52 2014  estimated available RAM is 15987.3 MB
Sun Dec 21 17:06:52 2014  commencing duplicate removal, pass 1
Sun Dec 21 17:07:13 2014  found 203808 hash collisions in 2984977 relations
Sun Dec 21 17:07:17 2014  added 766 free relations
Sun Dec 21 17:07:17 2014  commencing duplicate removal, pass 2
Sun Dec 21 17:07:22 2014  found 94169 duplicates and 2891574 unique relations
Sun Dec 21 17:07:22 2014  memory use: 11.8 MB
Sun Dec 21 17:07:22 2014  reading ideals above 100000
Sun Dec 21 17:07:22 2014  commencing singleton removal, initial pass
Sun Dec 21 17:07:52 2014  memory use: 86.1 MB
Sun Dec 21 17:07:52 2014  reading all ideals from disk
Sun Dec 21 17:07:52 2014  memory use: 87.0 MB
Sun Dec 21 17:07:52 2014  keeping 3085132 ideals with weight <= 200, target excess is 31888
Sun Dec 21 17:07:52 2014  commencing in-memory singleton removal
Sun Dec 21 17:07:53 2014  begin with 2891574 relations and 3085132 unique ideals
Sun Dec 21 17:07:56 2014  reduce to 1205829 relations and 1091195 ideals in 22 passes
Sun Dec 21 17:07:56 2014  max relations containing the same ideal: 107
Sun Dec 21 17:07:57 2014  removing 252014 relations and 213192 ideals in 38822 cliques
Sun Dec 21 17:07:57 2014  commencing in-memory singleton removal
Sun Dec 21 17:07:57 2014  begin with 953815 relations and 1091195 unique ideals
Sun Dec 21 17:07:58 2014  reduce to 908669 relations and 830950 ideals in 9 passes
Sun Dec 21 17:07:58 2014  max relations containing the same ideal: 83
Sun Dec 21 17:07:58 2014  removing 191276 relations and 152454 ideals in 38822 cliques
Sun Dec 21 17:07:58 2014  commencing in-memory singleton removal
Sun Dec 21 17:07:58 2014  begin with 717393 relations and 830950 unique ideals
Sun Dec 21 17:07:59 2014  reduce to 681619 relations and 640990 ideals in 9 passes
Sun Dec 21 17:07:59 2014  max relations containing the same ideal: 67
Sun Dec 21 17:08:00 2014  relations with 0 large ideals: 591
Sun Dec 21 17:08:00 2014  relations with 1 large ideals: 4572
Sun Dec 21 17:08:00 2014  relations with 2 large ideals: 28077
Sun Dec 21 17:08:00 2014  relations with 3 large ideals: 98121
Sun Dec 21 17:08:00 2014  relations with 4 large ideals: 186754
Sun Dec 21 17:08:00 2014  relations with 5 large ideals: 204842
Sun Dec 21 17:08:00 2014  relations with 6 large ideals: 116338
Sun Dec 21 17:08:00 2014  relations with 7+ large ideals: 42324
Sun Dec 21 17:08:00 2014  commencing 2-way merge
Sun Dec 21 17:08:00 2014  reduce to 392635 relation sets and 352006 unique ideals
Sun Dec 21 17:08:00 2014  commencing full merge
Sun Dec 21 17:08:07 2014  memory use: 36.1 MB
Sun Dec 21 17:08:07 2014  found 179269 cycles, need 172206
Sun Dec 21 17:08:07 2014  weight of 172206 cycles is about 12384436 (71.92/cycle)
Sun Dec 21 17:08:07 2014  distribution of cycle lengths:
Sun Dec 21 17:08:07 2014  1 relations: 15397
Sun Dec 21 17:08:07 2014  2 relations: 15781
Sun Dec 21 17:08:07 2014  3 relations: 16142
Sun Dec 21 17:08:07 2014  4 relations: 15230
Sun Dec 21 17:08:07 2014  5 relations: 14683
Sun Dec 21 17:08:07 2014  6 relations: 13536
Sun Dec 21 17:08:07 2014  7 relations: 12017
Sun Dec 21 17:08:07 2014  8 relations: 10941
Sun Dec 21 17:08:07 2014  9 relations: 9971
Sun Dec 21 17:08:07 2014  10+ relations: 48508
Sun Dec 21 17:08:07 2014  heaviest cycle: 23 relations
Sun Dec 21 17:08:07 2014  commencing cycle optimization
Sun Dec 21 17:08:07 2014  start with 1214318 relations
Sun Dec 21 17:08:10 2014  pruned 33457 relations
Sun Dec 21 17:08:10 2014  memory use: 38.3 MB
Sun Dec 21 17:08:10 2014  distribution of cycle lengths:
Sun Dec 21 17:08:10 2014  1 relations: 15397
Sun Dec 21 17:08:10 2014  2 relations: 16127
Sun Dec 21 17:08:10 2014  3 relations: 16779
Sun Dec 21 17:08:10 2014  4 relations: 15676
Sun Dec 21 17:08:10 2014  5 relations: 15167
Sun Dec 21 17:08:10 2014  6 relations: 13826
Sun Dec 21 17:08:10 2014  7 relations: 12275
Sun Dec 21 17:08:10 2014  8 relations: 11095
Sun Dec 21 17:08:10 2014  9 relations: 10118
Sun Dec 21 17:08:10 2014  10+ relations: 45746
Sun Dec 21 17:08:10 2014  heaviest cycle: 23 relations
Sun Dec 21 17:08:10 2014  RelProcTime: 78
Sun Dec 21 17:08:10 2014  
Sun Dec 21 17:08:10 2014  commencing linear algebra
Sun Dec 21 17:08:10 2014  read 172206 cycles
Sun Dec 21 17:08:10 2014  cycles contain 624241 unique relations
Sun Dec 21 17:08:18 2014  read 624241 relations
Sun Dec 21 17:08:18 2014  using 20 quadratic characters above 33552420
Sun Dec 21 17:08:22 2014  building initial matrix
Sun Dec 21 17:08:31 2014  memory use: 76.0 MB
Sun Dec 21 17:08:31 2014  read 172206 cycles
Sun Dec 21 17:08:31 2014  matrix is 172017 x 172206 (52.2 MB) with weight 16697489 (96.96/col)
Sun Dec 21 17:08:31 2014  sparse part has weight 11799370 (68.52/col)
Sun Dec 21 17:08:33 2014  filtering completed in 2 passes
Sun Dec 21 17:08:33 2014  matrix is 171388 x 171574 (52.1 MB) with weight 16660684 (97.10/col)
Sun Dec 21 17:08:33 2014  sparse part has weight 11782078 (68.67/col)
Sun Dec 21 17:08:33 2014  matrix starts at (0, 0)
Sun Dec 21 17:08:33 2014  matrix is 171388 x 171574 (52.1 MB) with weight 16660684 (97.10/col)
Sun Dec 21 17:08:33 2014  sparse part has weight 11782078 (68.67/col)
Sun Dec 21 17:08:33 2014  saving the first 48 matrix rows for later
Sun Dec 21 17:08:33 2014  matrix includes 64 packed rows
Sun Dec 21 17:08:34 2014  matrix is 171340 x 171574 (50.2 MB) with weight 13229017 (77.10/col)
Sun Dec 21 17:08:34 2014  sparse part has weight 11442748 (66.69/col)
Sun Dec 21 17:08:34 2014  using block size 65536 for processor cache size 8192 kB
Sun Dec 21 17:08:34 2014  commencing Lanczos iteration
Sun Dec 21 17:08:34 2014  memory use: 37.5 MB
Sun Dec 21 17:08:57 2014  linear algebra at 7.1%, ETA 0h 5m
Sun Dec 21 17:13:05 2014  lanczos halted after 2711 iterations (dim = 171338)
Sun Dec 21 17:13:05 2014  recovered 31 nontrivial dependencies
Sun Dec 21 17:13:05 2014  BLanczosTime: 295
Sun Dec 21 17:13:05 2014  
Sun Dec 21 17:13:05 2014  commencing square root phase
Sun Dec 21 17:13:05 2014  reading relations for dependency 1
Sun Dec 21 17:13:05 2014  read 85680 cycles
Sun Dec 21 17:13:05 2014  cycles contain 311530 unique relations
Sun Dec 21 17:13:10 2014  read 311530 relations
Sun Dec 21 17:13:11 2014  multiplying 311530 relations
Sun Dec 21 17:13:21 2014  multiply complete, coefficients have about 12.37 million bits
Sun Dec 21 17:13:21 2014  initial square root is modulo 12754817
Sun Dec 21 17:13:36 2014  GCD is N, no factor found
Sun Dec 21 17:13:36 2014  reading relations for dependency 2
Sun Dec 21 17:13:36 2014  read 86153 cycles
Sun Dec 21 17:13:36 2014  cycles contain 312894 unique relations
Sun Dec 21 17:13:41 2014  read 312894 relations
Sun Dec 21 17:13:42 2014  multiplying 312894 relations
Sun Dec 21 17:13:53 2014  multiply complete, coefficients have about 12.42 million bits
Sun Dec 21 17:13:53 2014  initial square root is modulo 13743161
Sun Dec 21 17:14:08 2014  sqrtTime: 63
--
n: 129328067705568109048566691731705279013492166516852906181565705288876650628171811126484637087433
skew: 1515667.50
c0: 1466647421191574865600019025
c1: 1233172594086078914966
c2: -3458641423516441
c3: 286229082
c4: 936
Y0: -108418660386366218032014
Y1: 647110225999
rlim: 1560000
alim: 1560000
lpbr: 25
lpba: 25
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:23:53 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 53 秒 (日本時間)

115×10146-13

c133

name 名前Cyp
date 日付December 22, 2014 13:19:44 UTC 2014 年 12 月 22 日 (月) 22 時 19 分 44 秒 (日本時間)
composite number 合成数
3162366853576095006159162272095354284241036246393375002239247398561107828559747722128261350585101076045103450942076021728563678731379<133>
prime factors 素因数
12985154382906657571264202185760889199873989074346651701398339<62>
243537100932658765035761975836006034298165863559147293759360618603929361<72>
factorization results 素因数分解の結果
12/22/14 12:19:16 v1.34.3, 
12/22/14 12:19:16 v1.34.3, ****************************
12/22/14 12:19:16 v1.34.3, Starting factorization of 3162366853576095006159162272095354284241036246393375002239247398561107828559747722128261350585101076045103450942076021728563678731379
12/22/14 12:19:16 v1.34.3, using pretesting plan: none
12/22/14 12:19:16 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/22/14 12:19:16 v1.34.3, ****************************
12/22/14 12:19:16 v1.34.3, nfs: commencing nfs on c133: 3162366853576095006159162272095354284241036246393375002239247398561107828559747722128261350585101076045103450942076021728563678731379
12/22/14 12:19:16 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/22/14 12:19:16 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/22/14 12:20:47 v1.34.3, nfs: commencing lattice sieving with 8 threads
[65 lines snipped]
12/22/14 14:03:57 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/22/14 14:05:28 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/22/14 14:06:58 v1.34.3, nfs: commencing msieve filtering
12/22/14 14:08:32 v1.34.3, nfs: commencing msieve linear algebra
12/22/14 14:16:19 v1.34.3, nfs: commencing msieve sqrt
12/22/14 14:19:43 v1.34.3, prp72 = 243537100932658765035761975836006034298165863559147293759360618603929361
12/22/14 14:19:43 v1.34.3, prp62 = 12985154382906657571264202185760889199873989074346651701398339
12/22/14 14:19:43 v1.34.3, NFS elapsed time = 7227.1217 seconds.
12/22/14 14:19:43 v1.34.3, 
12/22/14 14:19:43 v1.34.3, 
12/22/14 14:19:43 v1.34.3, Total factoring time = 7227.1230 seconds
--
Mon Dec 22 14:06:58 2014  
Mon Dec 22 14:06:58 2014  commencing relation filtering
Mon Dec 22 14:06:58 2014  estimated available RAM is 15987.3 MB
Mon Dec 22 14:06:58 2014  commencing duplicate removal, pass 1
Mon Dec 22 14:07:21 2014  found 649003 hash collisions in 4489281 relations
Mon Dec 22 14:07:29 2014  added 184124 free relations
Mon Dec 22 14:07:29 2014  commencing duplicate removal, pass 2
Mon Dec 22 14:07:35 2014  found 495242 duplicates and 4178163 unique relations
Mon Dec 22 14:07:35 2014  memory use: 20.6 MB
Mon Dec 22 14:07:35 2014  reading ideals above 100000
Mon Dec 22 14:07:35 2014  commencing singleton removal, initial pass
Mon Dec 22 14:08:08 2014  memory use: 94.1 MB
Mon Dec 22 14:08:08 2014  reading all ideals from disk
Mon Dec 22 14:08:08 2014  memory use: 136.6 MB
Mon Dec 22 14:08:08 2014  keeping 4790787 ideals with weight <= 200, target excess is 21702
Mon Dec 22 14:08:09 2014  commencing in-memory singleton removal
Mon Dec 22 14:08:09 2014  begin with 4178163 relations and 4790787 unique ideals
Mon Dec 22 14:08:11 2014  reduce to 1530930 relations and 1461343 ideals in 14 passes
Mon Dec 22 14:08:11 2014  max relations containing the same ideal: 100
Mon Dec 22 14:08:12 2014  removing 179101 relations and 156895 ideals in 22206 cliques
Mon Dec 22 14:08:12 2014  commencing in-memory singleton removal
Mon Dec 22 14:08:12 2014  begin with 1351829 relations and 1461343 unique ideals
Mon Dec 22 14:08:13 2014  reduce to 1334849 relations and 1287132 ideals in 9 passes
Mon Dec 22 14:08:13 2014  max relations containing the same ideal: 89
Mon Dec 22 14:08:14 2014  removing 134626 relations and 112420 ideals in 22206 cliques
Mon Dec 22 14:08:14 2014  commencing in-memory singleton removal
Mon Dec 22 14:08:14 2014  begin with 1200223 relations and 1287132 unique ideals
Mon Dec 22 14:08:14 2014  reduce to 1189830 relations and 1164142 ideals in 8 passes
Mon Dec 22 14:08:14 2014  max relations containing the same ideal: 84
Mon Dec 22 14:08:15 2014  relations with 0 large ideals: 532
Mon Dec 22 14:08:15 2014  relations with 1 large ideals: 105
Mon Dec 22 14:08:15 2014  relations with 2 large ideals: 1885
Mon Dec 22 14:08:15 2014  relations with 3 large ideals: 16575
Mon Dec 22 14:08:15 2014  relations with 4 large ideals: 78484
Mon Dec 22 14:08:15 2014  relations with 5 large ideals: 212036
Mon Dec 22 14:08:15 2014  relations with 6 large ideals: 349437
Mon Dec 22 14:08:15 2014  relations with 7+ large ideals: 530776
Mon Dec 22 14:08:15 2014  commencing 2-way merge
Mon Dec 22 14:08:16 2014  reduce to 711058 relation sets and 685370 unique ideals
Mon Dec 22 14:08:16 2014  commencing full merge
Mon Dec 22 14:08:27 2014  memory use: 88.9 MB
Mon Dec 22 14:08:27 2014  found 354605 cycles, need 351570
Mon Dec 22 14:08:27 2014  weight of 351570 cycles is about 24812007 (70.57/cycle)
Mon Dec 22 14:08:27 2014  distribution of cycle lengths:
Mon Dec 22 14:08:27 2014  1 relations: 39665
Mon Dec 22 14:08:27 2014  2 relations: 38534
Mon Dec 22 14:08:27 2014  3 relations: 36983
Mon Dec 22 14:08:27 2014  4 relations: 34338
Mon Dec 22 14:08:27 2014  5 relations: 30718
Mon Dec 22 14:08:27 2014  6 relations: 27596
Mon Dec 22 14:08:27 2014  7 relations: 23943
Mon Dec 22 14:08:27 2014  8 relations: 20808
Mon Dec 22 14:08:27 2014  9 relations: 17927
Mon Dec 22 14:08:27 2014  10+ relations: 81058
Mon Dec 22 14:08:27 2014  heaviest cycle: 25 relations
Mon Dec 22 14:08:27 2014  commencing cycle optimization
Mon Dec 22 14:08:28 2014  start with 2261155 relations
Mon Dec 22 14:08:31 2014  pruned 59173 relations
Mon Dec 22 14:08:31 2014  memory use: 71.5 MB
Mon Dec 22 14:08:31 2014  distribution of cycle lengths:
Mon Dec 22 14:08:31 2014  1 relations: 39665
Mon Dec 22 14:08:31 2014  2 relations: 39266
Mon Dec 22 14:08:31 2014  3 relations: 38131
Mon Dec 22 14:08:31 2014  4 relations: 35192
Mon Dec 22 14:08:31 2014  5 relations: 31649
Mon Dec 22 14:08:31 2014  6 relations: 28075
Mon Dec 22 14:08:31 2014  7 relations: 24419
Mon Dec 22 14:08:31 2014  8 relations: 20853
Mon Dec 22 14:08:31 2014  9 relations: 18011
Mon Dec 22 14:08:31 2014  10+ relations: 76309
Mon Dec 22 14:08:31 2014  heaviest cycle: 25 relations
Mon Dec 22 14:08:32 2014  RelProcTime: 94
Mon Dec 22 14:08:32 2014  
Mon Dec 22 14:08:32 2014  commencing linear algebra
Mon Dec 22 14:08:32 2014  read 351570 cycles
Mon Dec 22 14:08:32 2014  cycles contain 1164914 unique relations
Mon Dec 22 14:08:41 2014  read 1164914 relations
Mon Dec 22 14:08:42 2014  using 20 quadratic characters above 67107872
Mon Dec 22 14:08:47 2014  building initial matrix
Mon Dec 22 14:08:59 2014  memory use: 140.2 MB
Mon Dec 22 14:08:59 2014  read 351570 cycles
Mon Dec 22 14:08:59 2014  matrix is 351393 x 351570 (105.2 MB) with weight 31059202 (88.34/col)
Mon Dec 22 14:08:59 2014  sparse part has weight 23706472 (67.43/col)
Mon Dec 22 14:09:02 2014  filtering completed in 2 passes
Mon Dec 22 14:09:02 2014  matrix is 351253 x 351430 (105.2 MB) with weight 31054316 (88.37/col)
Mon Dec 22 14:09:02 2014  sparse part has weight 23704702 (67.45/col)
Mon Dec 22 14:09:03 2014  matrix starts at (0, 0)
Mon Dec 22 14:09:03 2014  matrix is 351253 x 351430 (105.2 MB) with weight 31054316 (88.37/col)
Mon Dec 22 14:09:03 2014  sparse part has weight 23704702 (67.45/col)
Mon Dec 22 14:09:03 2014  saving the first 48 matrix rows for later
Mon Dec 22 14:09:03 2014  matrix includes 64 packed rows
Mon Dec 22 14:09:03 2014  matrix is 351205 x 351430 (98.8 MB) with weight 24596980 (69.99/col)
Mon Dec 22 14:09:03 2014  sparse part has weight 22381640 (63.69/col)
Mon Dec 22 14:09:03 2014  using block size 65536 for processor cache size 8192 kB
Mon Dec 22 14:09:04 2014  commencing Lanczos iteration (8 threads)
Mon Dec 22 14:09:04 2014  memory use: 95.2 MB
Mon Dec 22 14:09:21 2014  linear algebra at 3.5%, ETA 0h 7m
Mon Dec 22 14:16:18 2014  lanczos halted after 5555 iterations (dim = 351205)
Mon Dec 22 14:16:19 2014  recovered 39 nontrivial dependencies
Mon Dec 22 14:16:19 2014  BLanczosTime: 467
Mon Dec 22 14:16:19 2014  
Mon Dec 22 14:16:19 2014  commencing square root phase
Mon Dec 22 14:16:19 2014  reading relations for dependency 1
Mon Dec 22 14:16:19 2014  read 175849 cycles
Mon Dec 22 14:16:19 2014  cycles contain 582938 unique relations
Mon Dec 22 14:16:25 2014  read 582938 relations
Mon Dec 22 14:16:28 2014  multiplying 582938 relations
Mon Dec 22 14:16:48 2014  multiply complete, coefficients have about 17.10 million bits
Mon Dec 22 14:16:49 2014  initial square root is modulo 81611
Mon Dec 22 14:17:17 2014  GCD is N, no factor found
Mon Dec 22 14:17:17 2014  reading relations for dependency 2
Mon Dec 22 14:17:17 2014  read 176281 cycles
Mon Dec 22 14:17:17 2014  cycles contain 582466 unique relations
Mon Dec 22 14:17:24 2014  read 582466 relations
Mon Dec 22 14:17:26 2014  multiplying 582466 relations
Mon Dec 22 14:17:47 2014  multiply complete, coefficients have about 17.08 million bits
Mon Dec 22 14:17:47 2014  initial square root is modulo 80681
Mon Dec 22 14:18:14 2014  GCD is 1, no factor found
Mon Dec 22 14:18:14 2014  reading relations for dependency 3
Mon Dec 22 14:18:14 2014  read 175353 cycles
Mon Dec 22 14:18:14 2014  cycles contain 582510 unique relations
Mon Dec 22 14:18:21 2014  read 582510 relations
Mon Dec 22 14:18:23 2014  multiplying 582510 relations
Mon Dec 22 14:18:44 2014  multiply complete, coefficients have about 17.08 million bits
Mon Dec 22 14:18:44 2014  initial square root is modulo 80761
Mon Dec 22 14:19:11 2014  GCD is N, no factor found
Mon Dec 22 14:19:11 2014  reading relations for dependency 4
Mon Dec 22 14:19:11 2014  read 176099 cycles
Mon Dec 22 14:19:11 2014  cycles contain 583336 unique relations
Mon Dec 22 14:19:15 2014  read 583336 relations
Mon Dec 22 14:19:17 2014  multiplying 583336 relations
Mon Dec 22 14:19:27 2014  multiply complete, coefficients have about 17.11 million bits
Mon Dec 22 14:19:27 2014  initial square root is modulo 82141
Mon Dec 22 14:19:43 2014  sqrtTime: 204
--
n: 3162366853576095006159162272095354284241036246393375002239247398561107828559747722128261350585101076045103450942076021728563678731379
m: 100000000000000000000000000000
deg: 5
c5: 1150
c0: -1
skew: 0.24
# Murphy_E = 1.572e-09
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:23:53 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 53 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:08:00 UTC 2014 年 12 月 21 日 (日) 8 時 8 分 0 秒 (日本時間)

115×10147-13

c133

name 名前KTakahashi
date 日付December 19, 2014 15:30:01 UTC 2014 年 12 月 20 日 (土) 0 時 30 分 1 秒 (日本時間)
composite number 合成数
2162021930991433761447942042238561508841415233759375479945542689346726261169363342601535511624105999065042925651940952637131827137869<133>
prime factors 素因数
88866140691161244975233513707680919<35>
33805067212868499784874997125502940825723<41>
719684205142393533042355114930369812151894201711201715137<57>
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 2162021930991433761447942042238561508841415233759375479945542689346726261169363342601535511624105999065042925651940952637131827137869 (133 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1284329726
Step 1 took 3479ms
Step 2 took 2293ms
********** Factor found in step 2: 88866140691161244975233513707680919
Found probable prime factor of 35 digits: 88866140691161244975233513707680919
Composite cofactor 24328972926878454992395059586452881605403688753948355609528364156795811680755111691314616608069051 has 98 digits

Number: 38333_147
N=24328972926878454992395059586452881605403688753948355609528364156795811680755111691314616608069051
  ( 98 digits)
Divisors found:
 r1=33805067212868499784874997125502940825723 (pp41)
 r2=719684205142393533042355114930369812151894201711201715137 (pp57)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 4.72 hours.
Scaled time: 9.67 units (timescale=2.048).
Factorization parameters were as follows:
name: 38333_147
n: 24328972926878454992395059586452881605403688753948355609528364156795811680755111691314616608069051
skew: 1962.71
# norm 8.81e+012
c5: 112560
c4: -551825878
c3: -1761847391854
c2: 1384112781949259
c1: 1460975018053249748
c0: 511942413258910153073
# alpha -4.55
Y1: 27781040507
Y0: -2930569160677681080
# Murphy_E 4.38e-009
# M 14425949242695934368770368756997817061013658466404492836846812576400999286689359574816417923051467
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 225205 x 225433
Polynomial selection time: 0.29 hours.
Total sieving time: 4.23 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.15 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,97,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 4.72 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 15:28:54 UTC 2014 年 12 月 20 日 (土) 0 時 28 分 54 秒 (日本時間)

115×10148-13

c103

name 名前KTakahashi
date 日付December 19, 2014 15:30:32 UTC 2014 年 12 月 20 日 (土) 0 時 30 分 32 秒 (日本時間)
composite number 合成数
3556677950975730827757934241118003273039140923419079403910619591244269211924869558772904155734377278183<103>
prime factors 素因数
2643984289463402521205004308598158897<37>
1345196325541540863137207723502201863814479966409946526749085119639<67>
factorization results 素因数分解の結果
Number: 38333_148
N=3556677950975730827757934241118003273039140923419079403910619591244269211924869558772904155734377278183
  ( 103 digits)
Divisors found:
 r1=2643984289463402521205004308598158897 (pp37)
 r2=1345196325541540863137207723502201863814479966409946526749085119639 (pp67)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 8.55 hours.
Scaled time: 17.06 units (timescale=1.997).
Factorization parameters were as follows:
name: 38333_148
n: 3556677950975730827757934241118003273039140923419079403910619591244269211924869558772904155734377278183
skew: 12708.96
# norm 2.35e+014
c5: 37440
c4: -1216524750
c3: -9822465733579
c2: 148821504656453636
c1: 195104360954796192253
c0: -4345545355919165764822973
# alpha -6.03
Y1: 84468954449
Y0: -39404678704264269444
# Murphy_E 2.35e-009
# M 1194057786431521044334531069504522368487620119326226464305166838164562336156596250101681255343831864679
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 1850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 263353 x 263578
Polynomial selection time: 0.57 hours.
Total sieving time: 7.70 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.21 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,102,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 8.55 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 13:34:56 UTC 2014 年 12 月 19 日 (金) 22 時 34 分 56 秒 (日本時間)

115×10152-13

c95

name 名前Dmitry Domanov
date 日付December 19, 2014 14:32:11 UTC 2014 年 12 月 19 日 (金) 23 時 32 分 11 秒 (日本時間)
composite number 合成数
26191954941147639309227067604830936115522208745976373984540435927892114160985760263850104415431<95>
prime factors 素因数
3414349569724951910727080486034116593<37>
7671140405010601131907393823709399785455563656352177190967<58>
factorization results 素因数分解の結果
N=26191954941147639309227067604830936115522208745976373984540435927892114160985760263850104415431
  ( 95 digits)
Divisors found:
 r1=3414349569724951910727080486034116593 (pp37)
 r2=7671140405010601131907393823709399785455563656352177190967 (pp58)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 1.95 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 26191954941147639309227067604830936115522208745976373984540435927892114160985760263850104415431
skew: 564810.41
c0: -89502570870072754822921185
c1: -650841086758310841898
c2: 3164539492789033
c3: 2519659634
c4: 2544
Y0: -56645114970132298689634
Y1: 126100173631
rlim: 1500000
alim: 1500000
lpbr: 25
lpba: 25
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 50/50
Sieved algebraic special-q in [750000, 930001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 168652 x 168890
Total sieving time: 1.80 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,94,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1500000,1500000,25,25,50,50,2.5,2.5,60000
total time: 1.95 hours.

ECM

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

115×10155-13

c128

name 名前Serge Batalov
date 日付December 21, 2014 02:00:34 UTC 2014 年 12 月 21 日 (日) 11 時 0 分 34 秒 (日本時間)
composite number 合成数
24039961394232415321949075744637152210546662268381286060217589694467042250920868034883598381719166373905090413461566721053689719<128>
prime factors 素因数
2406316575255881556204326682953<31>
9990356897107799397542072638034154719769718784466987846498963804223491862662328025997006399570623<97>
factorization results 素因数分解の結果
Input number is 24039961394232415321949075744637152210546662268381286060217589694467042250920868034883598381719166373905090413461566721053689719 (128 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4292232526
Step 1 took 7564ms
Step 2 took 6514ms
********** Factor found in step 2: 2406316575255881556204326682953
Found probable prime factor of 31 digits: 2406316575255881556204326682953
Probable prime cofactor 9990356897107799397542072638034154719769718784466987846498963804223491862662328025997006399570623 has 97 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 21:23:54 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 54 秒 (日本時間)

115×10157-13

c110

name 名前Serge Batalov
date 日付December 19, 2014 17:55:19 UTC 2014 年 12 月 20 日 (土) 2 時 55 分 19 秒 (日本時間)
composite number 合成数
13725212462618576536432292880448043334022008211764494355695925839273340087613278293437711291849372561732216877<110>
prime factors 素因数
3623715398697927958791914852588839568579<40>
3787607731984226649618378078799683215574180641358688966481273873731663<70>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3192410339
Step 1 took 2038ms
Step 2 took 1782ms
********** Factor found in step 2: 3623715398697927958791914852588839568579
Found probable prime factor of 40 digits: 3623715398697927958791914852588839568579
Probable prime cofactor

ECM

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

115×10158-13

c128

name 名前Serge Batalov
date 日付December 21, 2014 02:00:38 UTC 2014 年 12 月 21 日 (日) 11 時 0 分 38 秒 (日本時間)
composite number 合成数
43628673568457318013192064223038431471075941271271599273562430286021465914580121267010933862074113441817517905821309842304603537<128>
prime factors 素因数
106883741383707652424875706609<30>
408188121071028121380097672412654784505270824927668297240851551882347001273785177411776858422892193<99>
factorization results 素因数分解の結果
Input number is 43628673568457318013192064223038431471075941271271599273562430286021465914580121267010933862074113441817517905821309842304603537 (128 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=81019720
Step 1 took 8051ms
Step 2 took 7844ms
********** Factor found in step 2: 106883741383707652424875706609
Found probable prime factor of 30 digits: 106883741383707652424875706609
Probable prime cofactor 408188121071028121380097672412654784505270824927668297240851551882347001273785177411776858422892193 has 99 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 21:23:54 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 54 秒 (日本時間)

115×10159-13

c109

name 名前Serge Batalov
date 日付December 19, 2014 17:52:08 UTC 2014 年 12 月 20 日 (土) 2 時 52 分 8 秒 (日本時間)
composite number 合成数
1650891225965443509794091345053455690214794544618988340155536240298333914659175580096440663421036487421401853<109>
prime factors 素因数
365781295748137407716056396877<30>
4513328716245190897068636472033089523531605728384291178796739828271806329477489<79>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=706713638
Step 1 took 1833ms
Step 2 took 1526ms
********** Factor found in step 2: 365781295748137407716056396877
Found probable prime factor of 30 digits: 365781295748137407716056396877
Probable prime cofactor

ECM

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

115×10160-13

c139

name 名前Serge Batalov
date 日付December 21, 2014 02:00:42 UTC 2014 年 12 月 21 日 (日) 11 時 0 分 42 秒 (日本時間)
composite number 合成数
4758395326382263209530385676259595285485855121019120941516586794395428330206179907341978725316048111127417993217868498941582669525734274279<139>
prime factors 素因数
10903057918590574268245668634910761711<38>
436427593241417494872158966813815291001468853386459551296964241779895565075361538411000728011506462089<102>
factorization results 素因数分解の結果
Input number is 4758395326382263209530385676259595285485855121019120941516586794395428330206179907341978725316048111127417993217868498941582669525734274279 (139 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=815922916
Step 1 took 9110ms
Step 2 took 7103ms
********** Factor found in step 2: 10903057918590574268245668634910761711
Found probable prime factor of 38 digits: 10903057918590574268245668634910761711
Probable prime cofactor 436427593241417494872158966813815291001468853386459551296964241779895565075361538411000728011506462089 has 102 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 21:23:54 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 54 秒 (日本時間)

115×10161-13

c142

name 名前Cyp
date 日付December 28, 2014 04:53:23 UTC 2014 年 12 月 28 日 (日) 13 時 53 分 23 秒 (日本時間)
composite number 合成数
4671131891932832973032129126687279747501794659118131165203451599286208045899697360749054226873669994416626641862690685082548023930143092735913<142>
prime factors 素因数
740379311838777018274680020441526146677887555488225246087<57>
6309106450221837002057322154028802344493497829064746736634527306472332784673553585999<85>
factorization results 素因数分解の結果
12/28/14 02:19:13 v1.34.3, 
12/28/14 02:19:13 v1.34.3, ****************************
12/28/14 02:19:13 v1.34.3, Starting factorization of 4671131891932832973032129126687279747501794659118131165203451599286208045899697360749054226873669994416626641862690685082548023930143092735913
12/28/14 02:19:13 v1.34.3, using pretesting plan: none
12/28/14 02:19:13 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/28/14 02:19:13 v1.34.3, ****************************
12/28/14 02:19:13 v1.34.3, nfs: commencing nfs on c142: 4671131891932832973032129126687279747501794659118131165203451599286208045899697360749054226873669994416626641862690685082548023930143092735913
12/28/14 02:19:13 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/28/14 02:19:13 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/28/14 02:23:14 v1.34.3, nfs: commencing lattice sieving with 8 threads
[45 lines snipped]
12/28/14 05:30:23 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/28/14 05:34:32 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/28/14 05:38:46 v1.34.3, nfs: commencing msieve filtering
12/28/14 05:40:38 v1.34.3, nfs: commencing msieve linear algebra
12/28/14 05:49:03 v1.34.3, nfs: commencing msieve sqrt
12/28/14 05:53:22 v1.34.3, prp57 = 740379311838777018274680020441526146677887555488225246087
12/28/14 05:53:22 v1.34.3, prp85 = 6309106450221837002057322154028802344493497829064746736634527306472332784673553585999
12/28/14 05:53:22 v1.34.3, NFS elapsed time = 12848.9817 seconds.
12/28/14 05:53:22 v1.34.3, 
12/28/14 05:53:22 v1.34.3, 
12/28/14 05:53:22 v1.34.3, Total factoring time = 12848.9824 seconds
--
Sun Dec 28 05:38:46 2014  
Sun Dec 28 05:38:46 2014  commencing relation filtering
Sun Dec 28 05:38:46 2014  estimated available RAM is 15987.3 MB
Sun Dec 28 05:38:46 2014  commencing duplicate removal, pass 1
Sun Dec 28 05:39:14 2014  found 1307049 hash collisions in 10203752 relations
Sun Dec 28 05:39:23 2014  added 366311 free relations
Sun Dec 28 05:39:23 2014  commencing duplicate removal, pass 2
Sun Dec 28 05:39:31 2014  found 825831 duplicates and 9744232 unique relations
Sun Dec 28 05:39:31 2014  memory use: 41.3 MB
Sun Dec 28 05:39:31 2014  reading ideals above 100000
Sun Dec 28 05:39:31 2014  commencing singleton removal, initial pass
Sun Dec 28 05:40:13 2014  memory use: 344.5 MB
Sun Dec 28 05:40:13 2014  reading all ideals from disk
Sun Dec 28 05:40:13 2014  memory use: 344.8 MB
Sun Dec 28 05:40:13 2014  keeping 10347407 ideals with weight <= 200, target excess is 51263
Sun Dec 28 05:40:14 2014  commencing in-memory singleton removal
Sun Dec 28 05:40:14 2014  begin with 9744232 relations and 10347407 unique ideals
Sun Dec 28 05:40:17 2014  reduce to 4394172 relations and 3850414 ideals in 14 passes
Sun Dec 28 05:40:17 2014  max relations containing the same ideal: 122
Sun Dec 28 05:40:18 2014  removing 1072615 relations and 830469 ideals in 242146 cliques
Sun Dec 28 05:40:18 2014  commencing in-memory singleton removal
Sun Dec 28 05:40:18 2014  begin with 3321557 relations and 3850414 unique ideals
Sun Dec 28 05:40:20 2014  reduce to 3109340 relations and 2792923 ideals in 11 passes
Sun Dec 28 05:40:20 2014  max relations containing the same ideal: 96
Sun Dec 28 05:40:21 2014  removing 868344 relations and 626198 ideals in 242146 cliques
Sun Dec 28 05:40:21 2014  commencing in-memory singleton removal
Sun Dec 28 05:40:21 2014  begin with 2240996 relations and 2792923 unique ideals
Sun Dec 28 05:40:22 2014  reduce to 2053684 relations and 1964646 ideals in 10 passes
Sun Dec 28 05:40:22 2014  max relations containing the same ideal: 73
Sun Dec 28 05:40:22 2014  removing 174643 relations and 145071 ideals in 29572 cliques
Sun Dec 28 05:40:22 2014  commencing in-memory singleton removal
Sun Dec 28 05:40:22 2014  begin with 1879041 relations and 1964646 unique ideals
Sun Dec 28 05:40:23 2014  reduce to 1868932 relations and 1809342 ideals in 7 passes
Sun Dec 28 05:40:23 2014  max relations containing the same ideal: 68
Sun Dec 28 05:40:23 2014  relations with 0 large ideals: 1214
Sun Dec 28 05:40:23 2014  relations with 1 large ideals: 412
Sun Dec 28 05:40:23 2014  relations with 2 large ideals: 6901
Sun Dec 28 05:40:23 2014  relations with 3 large ideals: 50524
Sun Dec 28 05:40:23 2014  relations with 4 large ideals: 194130
Sun Dec 28 05:40:23 2014  relations with 5 large ideals: 423210
Sun Dec 28 05:40:23 2014  relations with 6 large ideals: 557147
Sun Dec 28 05:40:23 2014  relations with 7+ large ideals: 635394
Sun Dec 28 05:40:23 2014  commencing 2-way merge
Sun Dec 28 05:40:24 2014  reduce to 1116969 relation sets and 1057379 unique ideals
Sun Dec 28 05:40:24 2014  commencing full merge
Sun Dec 28 05:40:34 2014  memory use: 133.8 MB
Sun Dec 28 05:40:34 2014  found 571480 cycles, need 563579
Sun Dec 28 05:40:34 2014  weight of 563579 cycles is about 39497560 (70.08/cycle)
Sun Dec 28 05:40:34 2014  distribution of cycle lengths:
Sun Dec 28 05:40:34 2014  1 relations: 60511
Sun Dec 28 05:40:34 2014  2 relations: 58079
Sun Dec 28 05:40:34 2014  3 relations: 59953
Sun Dec 28 05:40:34 2014  4 relations: 57150
Sun Dec 28 05:40:34 2014  5 relations: 54689
Sun Dec 28 05:40:34 2014  6 relations: 50756
Sun Dec 28 05:40:34 2014  7 relations: 44938
Sun Dec 28 05:40:34 2014  8 relations: 38916
Sun Dec 28 05:40:34 2014  9 relations: 32943
Sun Dec 28 05:40:34 2014  10+ relations: 105644
Sun Dec 28 05:40:34 2014  heaviest cycle: 21 relations
Sun Dec 28 05:40:34 2014  commencing cycle optimization
Sun Dec 28 05:40:35 2014  start with 3380768 relations
Sun Dec 28 05:40:38 2014  pruned 84612 relations
Sun Dec 28 05:40:38 2014  memory use: 110.6 MB
Sun Dec 28 05:40:38 2014  distribution of cycle lengths:
Sun Dec 28 05:40:38 2014  1 relations: 60511
Sun Dec 28 05:40:38 2014  2 relations: 59222
Sun Dec 28 05:40:38 2014  3 relations: 61905
Sun Dec 28 05:40:38 2014  4 relations: 58643
Sun Dec 28 05:40:38 2014  5 relations: 56257
Sun Dec 28 05:40:38 2014  6 relations: 51989
Sun Dec 28 05:40:38 2014  7 relations: 45877
Sun Dec 28 05:40:38 2014  8 relations: 39077
Sun Dec 28 05:40:38 2014  9 relations: 32969
Sun Dec 28 05:40:38 2014  10+ relations: 97129
Sun Dec 28 05:40:38 2014  heaviest cycle: 20 relations
Sun Dec 28 05:40:38 2014  RelProcTime: 112
Sun Dec 28 05:40:38 2014  
Sun Dec 28 05:40:38 2014  commencing linear algebra
Sun Dec 28 05:40:38 2014  read 563579 cycles
Sun Dec 28 05:40:39 2014  cycles contain 1825795 unique relations
Sun Dec 28 05:40:49 2014  read 1825795 relations
Sun Dec 28 05:40:50 2014  using 20 quadratic characters above 134215832
Sun Dec 28 05:40:56 2014  building initial matrix
Sun Dec 28 05:41:05 2014  memory use: 220.5 MB
Sun Dec 28 05:41:05 2014  read 563579 cycles
Sun Dec 28 05:41:05 2014  matrix is 563402 x 563579 (168.3 MB) with weight 49661663 (88.12/col)
Sun Dec 28 05:41:05 2014  sparse part has weight 37922698 (67.29/col)
Sun Dec 28 05:41:07 2014  filtering completed in 2 passes
Sun Dec 28 05:41:07 2014  matrix is 563148 x 563325 (168.3 MB) with weight 49653571 (88.14/col)
Sun Dec 28 05:41:07 2014  sparse part has weight 37919876 (67.31/col)
Sun Dec 28 05:41:08 2014  matrix starts at (0, 0)
Sun Dec 28 05:41:08 2014  matrix is 563148 x 563325 (168.3 MB) with weight 49653571 (88.14/col)
Sun Dec 28 05:41:08 2014  sparse part has weight 37919876 (67.31/col)
Sun Dec 28 05:41:08 2014  saving the first 48 matrix rows for later
Sun Dec 28 05:41:08 2014  matrix includes 64 packed rows
Sun Dec 28 05:41:08 2014  matrix is 563100 x 563325 (158.5 MB) with weight 39289695 (69.75/col)
Sun Dec 28 05:41:08 2014  sparse part has weight 35906835 (63.74/col)
Sun Dec 28 05:41:08 2014  using block size 65536 for processor cache size 8192 kB
Sun Dec 28 05:41:09 2014  commencing Lanczos iteration (8 threads)
Sun Dec 28 05:41:09 2014  memory use: 154.1 MB
Sun Dec 28 05:41:12 2014  linear algebra at 0.5%, ETA 0h 6m
Sun Dec 28 05:49:02 2014  lanczos halted after 8905 iterations (dim = 563097)
Sun Dec 28 05:49:03 2014  recovered 37 nontrivial dependencies
Sun Dec 28 05:49:03 2014  BLanczosTime: 505
Sun Dec 28 05:49:03 2014  
Sun Dec 28 05:49:03 2014  commencing square root phase
Sun Dec 28 05:49:03 2014  reading relations for dependency 1
Sun Dec 28 05:49:03 2014  read 281367 cycles
Sun Dec 28 05:49:03 2014  cycles contain 911544 unique relations
Sun Dec 28 05:49:11 2014  read 911544 relations
Sun Dec 28 05:49:13 2014  multiplying 911544 relations
Sun Dec 28 05:49:31 2014  multiply complete, coefficients have about 27.93 million bits
Sun Dec 28 05:49:31 2014  initial square root is modulo 105278561
Sun Dec 28 05:49:54 2014  GCD is 1, no factor found
Sun Dec 28 05:49:54 2014  reading relations for dependency 2
Sun Dec 28 05:49:54 2014  read 281671 cycles
Sun Dec 28 05:49:54 2014  cycles contain 913006 unique relations
Sun Dec 28 05:50:03 2014  read 913006 relations
Sun Dec 28 05:50:04 2014  multiplying 913006 relations
Sun Dec 28 05:50:22 2014  multiply complete, coefficients have about 27.98 million bits
Sun Dec 28 05:50:22 2014  initial square root is modulo 108454481
Sun Dec 28 05:50:46 2014  GCD is N, no factor found
Sun Dec 28 05:50:46 2014  reading relations for dependency 3
Sun Dec 28 05:50:46 2014  read 282013 cycles
Sun Dec 28 05:50:46 2014  cycles contain 913060 unique relations
Sun Dec 28 05:50:55 2014  read 913060 relations
Sun Dec 28 05:50:56 2014  multiplying 913060 relations
Sun Dec 28 05:51:14 2014  multiply complete, coefficients have about 27.98 million bits
Sun Dec 28 05:51:14 2014  initial square root is modulo 108485441
Sun Dec 28 05:51:38 2014  GCD is 1, no factor found
Sun Dec 28 05:51:38 2014  reading relations for dependency 4
Sun Dec 28 05:51:38 2014  read 281890 cycles
Sun Dec 28 05:51:38 2014  cycles contain 913712 unique relations
Sun Dec 28 05:51:47 2014  read 913712 relations
Sun Dec 28 05:51:49 2014  multiplying 913712 relations
Sun Dec 28 05:52:06 2014  multiply complete, coefficients have about 28.00 million bits
Sun Dec 28 05:52:06 2014  initial square root is modulo 110135681
Sun Dec 28 05:52:30 2014  Newton iteration failed to converge
Sun Dec 28 05:52:30 2014  algebraic square root failed
Sun Dec 28 05:52:30 2014  reading relations for dependency 5
Sun Dec 28 05:52:30 2014  read 281359 cycles
Sun Dec 28 05:52:30 2014  cycles contain 911752 unique relations
Sun Dec 28 05:52:39 2014  read 911752 relations
Sun Dec 28 05:52:41 2014  multiplying 911752 relations
Sun Dec 28 05:52:58 2014  multiply complete, coefficients have about 27.94 million bits
Sun Dec 28 05:52:58 2014  initial square root is modulo 105840971
Sun Dec 28 05:53:22 2014  sqrtTime: 259
--
n: 4671131891932832973032129126687279747501794659118131165203451599286208045899697360749054226873669994416626641862690685082548023930143092735913
m: 100000000000000000000000000000000
deg: 5
c5: 1150
c0: -1
skew: 0.24
# Murphy_E = 4.178e-10
type: snfs
lss: 1
rlim: 3700000
alim: 3700000
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 21:23:55 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 55 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:08:01 UTC 2014 年 12 月 21 日 (日) 8 時 8 分 1 秒 (日本時間)

115×10163-13

c115

name 名前Serge Batalov
date 日付December 19, 2014 17:55:54 UTC 2014 年 12 月 20 日 (土) 2 時 55 分 54 秒 (日本時間)
composite number 合成数
1763972393203168838804551575003465750883638899895415817482231492630949514186193206280503808009490546900389284979103<115>
prime factors 素因数
5788296335844255826077129138659209159<37>
304748114273227420697244003436971967553070926061307230161488596346023861792617<78>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=2642361644
Step 1 took 2068ms
Step 2 took 1798ms
********** Factor found in step 2: 5788296335844255826077129138659209159
Found probable prime factor of 37 digits: 5788296335844255826077129138659209159
Probable prime cofactor

ECM

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

115×10165-13

c152

name 名前Jo Yeong Uk
date 日付March 1, 2015 14:28:18 UTC 2015 年 3 月 1 日 (日) 23 時 28 分 18 秒 (日本時間)
composite number 合成数
26254175158314910098588944709651031553142190139131656652099362005391133183395256867456077173851593485755865210018731367487886996070919701107610489587301<152>
prime factors 素因数
1847492603838447279568302233814727759599093549815916496604411737599533<70>
14210706502298229710959990518910949261902020105514492587454374709161468302061622297<83>
factorization results 素因数分解の結果
Number: 38333_165
N=26254175158314910098588944709651031553142190139131656652099362005391133183395256867456077173851593485755865210018731367487886996070919701107610489587301
  ( 152 digits)
SNFS difficulty: 167 digits.
Divisors found:
 r1=1847492603838447279568302233814727759599093549815916496604411737599533
 r2=14210706502298229710959990518910949261902020105514492587454374709161468302061622297
Version: 
Total time: 14.18 hours.
Scaled time: 73.42 units (timescale=5.179).
Factorization parameters were as follows:
n: 26254175158314910098588944709651031553142190139131656652099362005391133183395256867456077173851593485755865210018731367487886996070919701107610489587301
m: 1000000000000000000000000000000000
deg: 5
c5: 115
c0: -1
skew: 0.39
# Murphy_E = 3.474e-10
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2100000, 4100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9797404
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 776198 x 776446
Total sieving time: 13.05 hours.
Total relation processing time: 0.47 hours.
Matrix solve time: 0.57 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 14.18 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.41 BogoMIPS (lpj=3400206)
Total of 12 processors activated (81604.94 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e62950300Serge BatalovDecember 20, 2014 21:23:55 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 55 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:08:01 UTC 2014 年 12 月 21 日 (日) 8 時 8 分 1 秒 (日本時間)
2350Ignacio SantosFebruary 21, 2015 20:30:13 UTC 2015 年 2 月 22 日 (日) 5 時 30 分 13 秒 (日本時間)

115×10168-13

c158

name 名前Serge Batalov
date 日付December 21, 2014 02:00:46 UTC 2014 年 12 月 21 日 (日) 11 時 0 分 46 秒 (日本時間)
composite number 合成数
12879651643868484402804877226817905780646638633916433363390859872561442551937934621781969133323198703185627201024433029091671075743341103611202671060701112287<158>
prime factors 素因数
23390789394855005347790495532227179<35>
composite cofactor 合成数の残り
550629199658454822837147462595394745892870009891817771712260858541949219371087205111086256214594364870016646786209967484253<123>
factorization results 素因数分解の結果
Input number is 12879651643868484402804877226817905780646638633916433363390859872561442551937934621781969133323198703185627201024433029091671075743341103611202671060701112287 (158 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=422782757
Step 1 took 12348ms
Step 2 took 9550ms
********** Factor found in step 2: 23390789394855005347790495532227179
Found probable prime factor of 35 digits: 23390789394855005347790495532227179
Composite cofactor 550629199658454822837147462595394745892870009891817771712260858541949219371087205111086256214594364870016646786209967484253 has 123 digits

c123

name 名前Jo Yeong Uk
date 日付March 31, 2015 21:33:36 UTC 2015 年 4 月 1 日 (水) 6 時 33 分 36 秒 (日本時間)
composite number 合成数
550629199658454822837147462595394745892870009891817771712260858541949219371087205111086256214594364870016646786209967484253<123>
prime factors 素因数
91305255026095073805864039811510724195500103213<47>
6030640837716129318956365946358672025059855937122378140044932026145857348081<76>
factorization results 素因数分解の結果
Number: 38333_168
N=550629199658454822837147462595394745892870009891817771712260858541949219371087205111086256214594364870016646786209967484253
  ( 123 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=91305255026095073805864039811510724195500103213
 r2=6030640837716129318956365946358672025059855937122378140044932026145857348081
Version: 
Total time: 17.88 hours.
Scaled time: 93.48 units (timescale=5.229).
Factorization parameters were as follows:
n: 550629199658454822837147462595394745892870009891817771712260858541949219371087205111086256214594364870016646786209967484253
m: 5000000000000000000000000000000000
deg: 5
c5: 184
c0: -5
skew: 0.49
# Murphy_E = 2.505e-10
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2700000, 5000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 10659166
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 960182 x 960430
Total sieving time: 16.22 hours.
Total relation processing time: 0.61 hours.
Matrix solve time: 0.92 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,52,52,2.4,2.4,100000
total time: 17.88 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.24 BogoMIPS (lpj=3400120)
Total of 12 processors activated (81602.88 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 20, 2014 21:23:56 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 56 秒 (日本時間)
4511e6750 / 4409Pierre JammesDecember 26, 2014 07:42:15 UTC 2014 年 12 月 26 日 (金) 16 時 42 分 15 秒 (日本時間)

115×10169-13

c151

name 名前Jo Yeong Uk
date 日付April 5, 2015 08:06:41 UTC 2015 年 4 月 5 日 (日) 17 時 6 分 41 秒 (日本時間)
composite number 合成数
1082594849076674947278769520337010239506490667406126241642401085767011868348297728663749745983817601940668316944629785420082145875384921706503708298609<151>
prime factors 素因数
31646682494217376959589421989524132863093808849458679794766547879<65>
34208794216407723270811496453914244936343926973361632103406975118354054056660224024871<86>
factorization results 素因数分解の結果
Number: 38333_168
N=1082594849076674947278769520337010239506490667406126241642401085767011868348297728663749745983817601940668316944629785420082145875384921706503708298609
  ( 151 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=31646682494217376959589421989524132863093808849458679794766547879
 r2=34208794216407723270811496453914244936343926973361632103406975118354054056660224024871
Version: 
Total time: 16.39 hours.
Scaled time: 85.03 units (timescale=5.188).
Factorization parameters were as follows:
n: 1082594849076674947278769520337010239506490667406126241642401085767011868348297728663749745983817601940668316944629785420082145875384921706503708298609
m: 10000000000000000000000000000000000
deg: 5
c5: 23
c0: -2
skew: 0.61
# Murphy_E = 2.947e-10
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2800000, 4900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 10887723
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 857485 x 857733
Total sieving time: 15.07 hours.
Total relation processing time: 0.57 hours.
Matrix solve time: 0.71 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
total time: 16.39 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.24 BogoMIPS (lpj=3400120)
Total of 12 processors activated (81602.88 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e62950300Serge BatalovDecember 20, 2014 21:23:56 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 56 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:08:02 UTC 2014 年 12 月 21 日 (日) 8 時 8 分 2 秒 (日本時間)
2350Ignacio SantosFebruary 10, 2015 17:35:57 UTC 2015 年 2 月 11 日 (水) 2 時 35 分 57 秒 (日本時間)

115×10170-13

c162

name 名前Serge Batalov
date 日付December 21, 2014 02:00:49 UTC 2014 年 12 月 21 日 (日) 11 時 0 分 49 秒 (日本時間)
composite number 合成数
461147805613087456879788477686559845284625706167769940075054075814725967347342838536844711604285008940324837671911316018131227688760151889394777348168779519577537<162>
prime factors 素因数
7301837347180161549883619094124573<34>
composite cofactor 合成数の残り
63155036696506867230493645955217852734962467605261293543650277273430536327747040677860008527379040569029917357415911200411534069<128>
factorization results 素因数分解の結果
Input number is 461147805613087456879788477686559845284625706167769940075054075814725967347342838536844711604285008940324837671911316018131227688760151889394777348168779519577537 (162 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2923317786
Step 1 took 11056ms
Step 2 took 8053ms
********** Factor found in step 2: 7301837347180161549883619094124573
Found probable prime factor of 34 digits: 7301837347180161549883619094124573
Composite cofactor 63155036696506867230493645955217852734962467605261293543650277273430536327747040677860008527379040569029917357415911200411534069 has 128 digits

c128

name 名前Jo Yeong Uk
date 日付April 5, 2015 00:50:45 UTC 2015 年 4 月 5 日 (日) 9 時 50 分 45 秒 (日本時間)
composite number 合成数
63155036696506867230493645955217852734962467605261293543650277273430536327747040677860008527379040569029917357415911200411534069<128>
prime factors 素因数
2445486587587678855118173785403986821<37>
3251735230447784071254245727715121046197<40>
7941956979869159024180422805528654271453524291607437<52>
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 63155036696506867230493645955217852734962467605261293543650277273430536327747040677860008527379040569029917357415911200411534069 (128 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2227316861
Step 1 took 19674ms
Step 2 took 7752ms
********** Factor found in step 2: 2445486587587678855118173785403986821
Found probable prime factor of 37 digits: 2445486587587678855118173785403986821
Composite cofactor 25825141310141227019571788420055880316613232008409174319251685022231276941948762654265767089 has 92 digits

GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 25825141310141227019571788420055880316613232008409174319251685022231276941948762654265767089 (92 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1015259602
Step 1 took 12879ms
********** Factor found in step 1: 3251735230447784071254245727715121046197
Found probable prime factor of 40 digits: 3251735230447784071254245727715121046197
Probable prime cofactor 7941956979869159024180422805528654271453524291607437 has 52 digits
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 20, 2014 21:23:57 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 57 秒 (日本時間)
4511e6620 / 4409310Pierre JammesJanuary 3, 2015 20:51:25 UTC 2015 年 1 月 4 日 (日) 5 時 51 分 25 秒 (日本時間)
310Pierre JammesJanuary 4, 2015 11:51:46 UTC 2015 年 1 月 4 日 (日) 20 時 51 分 46 秒 (日本時間)

115×10171-13

c153

name 名前Jo Yeong Uk
date 日付April 27, 2015 12:12:20 UTC 2015 年 4 月 27 日 (月) 21 時 12 分 20 秒 (日本時間)
composite number 合成数
388157851553439232823851599669896759444784879469390783045129835197614876135199931410835106335312224857272001726373106963296089362353588656360403606054913<153>
prime factors 素因数
136292269806243959489367060145854529558316017925639<51>
2847981416005858846118070743100450885906459474648398007361702779277195663888991511654825427513939158967<103>
factorization results 素因数分解の結果
Number: 38333_171
N=388157851553439232823851599669896759444784879469390783045129835197614876135199931410835106335312224857272001726373106963296089362353588656360403606054913
  ( 153 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=136292269806243959489367060145854529558316017925639
 r2=2847981416005858846118070743100450885906459474648398007361702779277195663888991511654825427513939158967
Version: 
Total time: 26.74 hours.
Scaled time: 140.16 units (timescale=5.241).
Factorization parameters were as follows:
n: 388157851553439232823851599669896759444784879469390783045129835197614876135199931410835106335312224857272001726373106963296089362353588656360403606054913
m: 10000000000000000000000000000000000
deg: 5
c5: 1150
c0: -1
skew: 0.24
# Murphy_E = 1.685e-10
type: snfs
lss: 1
rlim: 6200000
alim: 6200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [3100000, 6500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 11408013
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1034846 x 1035094
Total sieving time: 24.57 hours.
Total relation processing time: 0.95 hours.
Matrix solve time: 1.09 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,6200000,6200000,27,27,52,52,2.4,2.4,100000
total time: 26.74 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.00 BogoMIPS (lpj=3400000)
Total of 12 processors activated (81600.00 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e62950300Serge BatalovDecember 20, 2014 21:23:57 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 57 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:08:02 UTC 2014 年 12 月 21 日 (日) 8 時 8 分 2 秒 (日本時間)
2350Ignacio SantosMarch 4, 2015 17:24:41 UTC 2015 年 3 月 5 日 (木) 2 時 24 分 41 秒 (日本時間)

115×10173-13

c112

name 名前Serge Batalov
date 日付December 19, 2014 17:53:38 UTC 2014 年 12 月 20 日 (土) 2 時 53 分 38 秒 (日本時間)
composite number 合成数
4338927300141536302828743459114786857114694803604531676974930873790819602084940496776175239104921262589750260831<112>
prime factors 素因数
6499961858051293081422906224009<31>
667531194012630553953309642393240655656752185921602566935694560305282552617582759<81>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=585052237
Step 1 took 2068ms
********** Factor found in step 1: 6499961858051293081422906224009
Found probable prime factor of 31 digits: 6499961858051293081422906224009
Probable prime cofactor

ECM

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

115×10177-13

c158

name 名前Serge Batalov
date 日付December 21, 2014 02:00:53 UTC 2014 年 12 月 21 日 (日) 11 時 0 分 53 秒 (日本時間)
composite number 合成数
13139262111209002721403794252352684176762059482637634943132005008675778335392472536072166692652294191057700630295957130277312191564924531143230267078679911631<158>
prime factors 素因数
5589692078174949520684136812469<31>
composite cofactor 合成数の残り
2350623599198152869954074934715529748028202763626459663112076180932830291841693349382548419930247532503204976311077041586758899<127>
factorization results 素因数分解の結果
Input number is 13139262111209002721403794252352684176762059482637634943132005008675778335392472536072166692652294191057700630295957130277312191564924531143230267078679911631 (158 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2641636364
Step 1 took 11061ms
Step 2 took 8048ms
********** Factor found in step 2: 5589692078174949520684136812469
Found probable prime factor of 31 digits: 5589692078174949520684136812469
Composite cofactor 2350623599198152869954074934715529748028202763626459663112076180932830291841693349382548419930247532503204976311077041586758899 has 127 digits

c127

name 名前Pierre Jammes
date 日付January 4, 2015 16:51:13 UTC 2015 年 1 月 5 日 (月) 1 時 51 分 13 秒 (日本時間)
composite number 合成数
2350623599198152869954074934715529748028202763626459663112076180932830291841693349382548419930247532503204976311077041586758899<127>
prime factors 素因数
103415212617749598280787874081822911554693663283745217<54>
22729959545571781951561893382064298248785702849633805576147731652765236147<74>
factorization results 素因数分解の結果
Using B1=11000000, B2=144269945836, polynomial Dickson(12), sigma=3919257534
Step 1 took 79572ms
Step 2 took 65864ms
********** Factor found in step 2: 103415212617749598280787874081822911554693663283745217
Found probable prime factor of 54 digits: 103415212617749598280787874081822911554693663283745217
Probable prime cofactor 22729959545571781951561893382064298248785702849633805576147731652765236147 has 74 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Debian 8

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:23:58 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 58 秒 (日本時間)

115×10178-13

c166

name 名前Jo Yeong Uk
date 日付November 22, 2015 05:29:46 UTC 2015 年 11 月 22 日 (日) 14 時 29 分 46 秒 (日本時間)
composite number 合成数
1287064834424048031653102538095303894300932490909985039427210529139733485919855213088839185292846870724304909357393597412043894578331586079887849657209282770499779043<166>
prime factors 素因数
160913817229887713927015416727261995064504383<45>
7998473074473755983648963135211098711614096847262145722841728789125516020174603850495874062997212209009386704034789789021<121>
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 1287064834424048031653102538095303894300932490909985039427210529139733485919855213088839185292846870724304909357393597412043894578331586079887849657209282770499779043 (166 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=46037374
Step 1 took 29744ms
********** Factor found in step 1: 160913817229887713927015416727261995064504383
Found probable prime factor of 45 digits: 160913817229887713927015416727261995064504383
Probable prime cofactor 7998473074473755983648963135211098711614096847262145722841728789125516020174603850495874062997212209009386704034789789021 has 121 digits
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:58 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 58 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:08:02 UTC 2014 年 12 月 21 日 (日) 8 時 8 分 2 秒 (日本時間)
4511e6498 / 4342CypJanuary 31, 2015 14:01:19 UTC 2015 年 1 月 31 日 (土) 23 時 1 分 19 秒 (日本時間)

115×10179-13

c177

name 名前Robert Backstrom
date 日付December 25, 2014 07:38:18 UTC 2014 年 12 月 25 日 (木) 16 時 38 分 18 秒 (日本時間)
composite number 合成数
191274553831312476090680771085940488664903614257438916887048217820135389118972772483076360128403439615454983949570048068127006303743991484124212032001064484473495999866939440813<177>
prime factors 素因数
87571447154845921286852192428064024026410408164073397750291684583171365982337919861<83>
2184211407322026418481467090673240139704914104270727306907593263216527862265908456699747481433<94>
factorization results 素因数分解の結果
Number: n
N=191274553831312476090680771085940488664903614257438916887048217820135389118972772483076360128403439615454983949570048068127006303743991484124212032001064484473495999866939440813
  ( 177 digits)
SNFS difficulty: 181 digits.
Divisors found:

Thu Dec 25 18:35:27 2014  prp83 factor: 87571447154845921286852192428064024026410408164073397750291684583171365982337919861
Thu Dec 25 18:35:27 2014  prp94 factor: 2184211407322026418481467090673240139704914104270727306907593263216527862265908456699747481433
Thu Dec 25 18:35:27 2014  elapsed time 00:27:02 (Msieve 1.44 - dependency 5)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.241).
Factorization parameters were as follows:
#
#  N = 115*10^179-1 383(179)
#
n: 191274553831312476090680771085940488664903614257438916887048217820135389118972772483076360128403439615454983949570048068127006303743991484124212032001064484473495999866939440813
m: 500000000000000000000000000000000000
deg: 5
c5: 368
c0: -1
skew: 0.31
# Murphy_E = 1.171e-10
type: snfs
lss: 1
rlim: 7300000
alim: 7300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7300000/7300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 6450000)
Primes: RFBsize:495666, AFBsize:495769,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 3696702 hash collisions in 32207107 relations (30476807 unique)
Msieve: matrix is 683946 x 684189 (191.3 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0hrs 13min 0sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 2sec.

Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,7300000,7300000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.038684] smpboot: CPU0: Intel(R) Core(TM) i7-4790 CPU @ 3.60GHz (fam: 06, model: 3c, stepping: 03)
[    0.000000] Memory: 16059644K/16661464K available (7373K kernel code, 1159K rwdata, 3228K rodata, 1468K init, 1504K bss, 601820K reserved)
[    1.137325] [drm] Memory usable by graphics device = 2048M
[    0.000027] Calibrating delay loop (skipped), value calculated using timer frequency.. 7200.13 BogoMIPS (lpj=3600065)
[    0.136532] smpboot: Total of 8 processors activated (57601.04 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:17 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 17 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:38 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 38 秒 (日本時間)

115×10183-13

c119

name 名前Cyp
date 日付December 23, 2014 01:58:49 UTC 2014 年 12 月 23 日 (火) 10 時 58 分 49 秒 (日本時間)
composite number 合成数
20761572033294169600717416744094344348336188401071706123407776727493635629485444660935905448441765447633099276121974439<119>
prime factors 素因数
32130584914044488050009308205340226620806044701<47>
646162280855931482556656746529232308769485706500213420692860396855061139<72>
factorization results 素因数分解の結果
12/22/14 19:32:22 v1.34.3, 
12/22/14 19:32:22 v1.34.3, ****************************
12/22/14 19:32:22 v1.34.3, Starting factorization of 20761572033294169600717416744094344348336188401071706123407776727493635629485444660935905448441765447633099276121974439
12/22/14 19:32:22 v1.34.3, using pretesting plan: none
12/22/14 19:32:22 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/22/14 19:32:22 v1.34.3, ****************************
12/22/14 19:32:22 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C119
12/22/14 19:32:22 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C119
12/22/14 19:32:22 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C119
12/22/14 19:32:22 v1.34.3, final ECM pretested depth: 0.00
12/22/14 19:32:22 v1.34.3, scheduler: switching to sieve method
12/22/14 19:32:22 v1.34.3, nfs: commencing nfs on c119: 20761572033294169600717416744094344348336188401071706123407776727493635629485444660935905448441765447633099276121974439
12/22/14 19:32:22 v1.34.3, nfs: commencing poly selection with 8 threads
12/22/14 19:32:22 v1.34.3, nfs: setting deadline of 1518 seconds
12/22/14 19:59:53 v1.34.3, nfs: completed 88 ranges of size 250 in 1650.8552 seconds
12/22/14 19:59:53 v1.34.3, nfs: best poly = # norm 2.806307e-11 alpha -7.053607 e 3.435e-10 rroots 3
12/22/14 19:59:53 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/22/14 20:10:15 v1.34.3, nfs: commencing lattice sieving with 8 threads
[31 lines snipped]
12/23/14 02:00:46 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 02:11:33 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 02:23:09 v1.34.3, nfs: commencing msieve filtering
12/23/14 02:26:54 v1.34.3, nfs: commencing msieve linear algebra
12/23/14 02:51:57 v1.34.3, nfs: commencing msieve sqrt
12/23/14 02:58:49 v1.34.3, prp47 = 32130584914044488050009308205340226620806044701
12/23/14 02:58:49 v1.34.3, prp72 = 646162280855931482556656746529232308769485706500213420692860396855061139
12/23/14 02:58:49 v1.34.3, NFS elapsed time = 26786.3515 seconds.
12/23/14 02:58:49 v1.34.3, 
12/23/14 02:58:49 v1.34.3, 
12/23/14 02:58:49 v1.34.3, Total factoring time = 26786.3927 seconds
--
Tue Dec 23 02:23:09 2014  
Tue Dec 23 02:23:09 2014  commencing relation filtering
Tue Dec 23 02:23:09 2014  estimated available RAM is 15987.3 MB
Tue Dec 23 02:23:09 2014  commencing duplicate removal, pass 1
Tue Dec 23 02:24:12 2014  found 1100370 hash collisions in 10270270 relations
Tue Dec 23 02:24:32 2014  added 62878 free relations
Tue Dec 23 02:24:32 2014  commencing duplicate removal, pass 2
Tue Dec 23 02:24:45 2014  found 531152 duplicates and 9801996 unique relations
Tue Dec 23 02:24:45 2014  memory use: 41.3 MB
Tue Dec 23 02:24:45 2014  reading ideals above 100000
Tue Dec 23 02:24:45 2014  commencing singleton removal, initial pass
Tue Dec 23 02:26:09 2014  memory use: 344.5 MB
Tue Dec 23 02:26:09 2014  reading all ideals from disk
Tue Dec 23 02:26:09 2014  memory use: 344.6 MB
Tue Dec 23 02:26:09 2014  keeping 10815486 ideals with weight <= 200, target excess is 49987
Tue Dec 23 02:26:10 2014  commencing in-memory singleton removal
Tue Dec 23 02:26:11 2014  begin with 9801996 relations and 10815486 unique ideals
Tue Dec 23 02:26:19 2014  reduce to 3493172 relations and 3338497 ideals in 20 passes
Tue Dec 23 02:26:19 2014  max relations containing the same ideal: 101
Tue Dec 23 02:26:21 2014  removing 487847 relations and 439502 ideals in 48345 cliques
Tue Dec 23 02:26:21 2014  commencing in-memory singleton removal
Tue Dec 23 02:26:21 2014  begin with 3005325 relations and 3338497 unique ideals
Tue Dec 23 02:26:22 2014  reduce to 2946301 relations and 2838854 ideals in 13 passes
Tue Dec 23 02:26:22 2014  max relations containing the same ideal: 91
Tue Dec 23 02:26:23 2014  removing 360839 relations and 312494 ideals in 48345 cliques
Tue Dec 23 02:26:23 2014  commencing in-memory singleton removal
Tue Dec 23 02:26:23 2014  begin with 2585462 relations and 2838854 unique ideals
Tue Dec 23 02:26:25 2014  reduce to 2546446 relations and 2486672 ideals in 12 passes
Tue Dec 23 02:26:25 2014  max relations containing the same ideal: 82
Tue Dec 23 02:26:26 2014  relations with 0 large ideals: 170
Tue Dec 23 02:26:26 2014  relations with 1 large ideals: 494
Tue Dec 23 02:26:26 2014  relations with 2 large ideals: 7392
Tue Dec 23 02:26:26 2014  relations with 3 large ideals: 59039
Tue Dec 23 02:26:26 2014  relations with 4 large ideals: 243329
Tue Dec 23 02:26:26 2014  relations with 5 large ideals: 565821
Tue Dec 23 02:26:26 2014  relations with 6 large ideals: 760279
Tue Dec 23 02:26:26 2014  relations with 7+ large ideals: 909922
Tue Dec 23 02:26:26 2014  commencing 2-way merge
Tue Dec 23 02:26:28 2014  reduce to 1419770 relation sets and 1359996 unique ideals
Tue Dec 23 02:26:28 2014  commencing full merge
Tue Dec 23 02:26:46 2014  memory use: 152.6 MB
Tue Dec 23 02:26:46 2014  found 705925 cycles, need 698196
Tue Dec 23 02:26:46 2014  weight of 698196 cycles is about 49036206 (70.23/cycle)
Tue Dec 23 02:26:46 2014  distribution of cycle lengths:
Tue Dec 23 02:26:46 2014  1 relations: 88142
Tue Dec 23 02:26:46 2014  2 relations: 81926
Tue Dec 23 02:26:46 2014  3 relations: 79638
Tue Dec 23 02:26:46 2014  4 relations: 70551
Tue Dec 23 02:26:46 2014  5 relations: 62798
Tue Dec 23 02:26:46 2014  6 relations: 53226
Tue Dec 23 02:26:46 2014  7 relations: 47306
Tue Dec 23 02:26:46 2014  8 relations: 39651
Tue Dec 23 02:26:46 2014  9 relations: 33515
Tue Dec 23 02:26:46 2014  10+ relations: 141443
Tue Dec 23 02:26:46 2014  heaviest cycle: 23 relations
Tue Dec 23 02:26:47 2014  commencing cycle optimization
Tue Dec 23 02:26:48 2014  start with 4212073 relations
Tue Dec 23 02:26:53 2014  pruned 78764 relations
Tue Dec 23 02:26:53 2014  memory use: 144.4 MB
Tue Dec 23 02:26:53 2014  distribution of cycle lengths:
Tue Dec 23 02:26:53 2014  1 relations: 88142
Tue Dec 23 02:26:53 2014  2 relations: 83544
Tue Dec 23 02:26:53 2014  3 relations: 81958
Tue Dec 23 02:26:53 2014  4 relations: 71711
Tue Dec 23 02:26:53 2014  5 relations: 63799
Tue Dec 23 02:26:53 2014  6 relations: 53654
Tue Dec 23 02:26:53 2014  7 relations: 47287
Tue Dec 23 02:26:53 2014  8 relations: 39725
Tue Dec 23 02:26:53 2014  9 relations: 33185
Tue Dec 23 02:26:53 2014  10+ relations: 135191
Tue Dec 23 02:26:53 2014  heaviest cycle: 23 relations
Tue Dec 23 02:26:54 2014  RelProcTime: 225
Tue Dec 23 02:26:55 2014  
Tue Dec 23 02:26:55 2014  commencing linear algebra
Tue Dec 23 02:26:55 2014  read 698196 cycles
Tue Dec 23 02:26:56 2014  cycles contain 2460994 unique relations
Tue Dec 23 02:27:19 2014  read 2460994 relations
Tue Dec 23 02:27:22 2014  using 20 quadratic characters above 134217410
Tue Dec 23 02:27:32 2014  building initial matrix
Tue Dec 23 02:28:00 2014  memory use: 317.8 MB
Tue Dec 23 02:28:01 2014  read 698196 cycles
Tue Dec 23 02:28:01 2014  matrix is 698018 x 698196 (212.8 MB) with weight 67461835 (96.62/col)
Tue Dec 23 02:28:01 2014  sparse part has weight 47396312 (67.88/col)
Tue Dec 23 02:28:07 2014  filtering completed in 2 passes
Tue Dec 23 02:28:07 2014  matrix is 696406 x 696583 (212.6 MB) with weight 67390345 (96.74/col)
Tue Dec 23 02:28:07 2014  sparse part has weight 47374750 (68.01/col)
Tue Dec 23 02:28:09 2014  matrix starts at (0, 0)
Tue Dec 23 02:28:10 2014  matrix is 696406 x 696583 (212.6 MB) with weight 67390345 (96.74/col)
Tue Dec 23 02:28:10 2014  sparse part has weight 47374750 (68.01/col)
Tue Dec 23 02:28:10 2014  saving the first 48 matrix rows for later
Tue Dec 23 02:28:10 2014  matrix includes 64 packed rows
Tue Dec 23 02:28:10 2014  matrix is 696358 x 696583 (203.9 MB) with weight 53578529 (76.92/col)
Tue Dec 23 02:28:10 2014  sparse part has weight 46483119 (66.73/col)
Tue Dec 23 02:28:10 2014  using block size 65536 for processor cache size 8192 kB
Tue Dec 23 02:28:12 2014  commencing Lanczos iteration (8 threads)
Tue Dec 23 02:28:12 2014  memory use: 194.2 MB
Tue Dec 23 02:28:20 2014  linear algebra at 0.4%, ETA 0h26m
Tue Dec 23 02:51:56 2014  lanczos halted after 11014 iterations (dim = 696356)
Tue Dec 23 02:51:57 2014  recovered 30 nontrivial dependencies
Tue Dec 23 02:51:57 2014  BLanczosTime: 1502
Tue Dec 23 02:51:57 2014  
Tue Dec 23 02:51:57 2014  commencing square root phase
Tue Dec 23 02:51:57 2014  reading relations for dependency 1
Tue Dec 23 02:51:58 2014  read 348068 cycles
Tue Dec 23 02:51:58 2014  cycles contain 1230444 unique relations
Tue Dec 23 02:52:13 2014  read 1230444 relations
Tue Dec 23 02:52:19 2014  multiplying 1230444 relations
Tue Dec 23 02:53:39 2014  multiply complete, coefficients have about 55.46 million bits
Tue Dec 23 02:53:39 2014  initial square root is modulo 91710571
Tue Dec 23 02:55:21 2014  GCD is 1, no factor found
Tue Dec 23 02:55:21 2014  reading relations for dependency 2
Tue Dec 23 02:55:21 2014  read 348807 cycles
Tue Dec 23 02:55:22 2014  cycles contain 1233104 unique relations
Tue Dec 23 02:55:37 2014  read 1233104 relations
Tue Dec 23 02:55:43 2014  multiplying 1233104 relations
Tue Dec 23 02:57:01 2014  multiply complete, coefficients have about 55.59 million bits
Tue Dec 23 02:57:01 2014  initial square root is modulo 95592187
Tue Dec 23 02:58:49 2014  sqrtTime: 412
--
n: 20761572033294169600717416744094344348336188401071706123407776727493635629485444660935905448441765447633099276121974439
skew: 103913.11
c0: 33630704216923918658430973536
c1: 2825551692744443757955446
c2: 84423167270044264949
c3: 694112617835525
c4: -9512636113
c5: 12012
Y0: -70393018203780236990725
Y1: 618537154049
rlim: 5300000
alim: 5300000
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 18:01:47 UTC 2014 年 12 月 20 日 (土) 3 時 1 分 47 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:09 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 9 秒 (日本時間)
4511e6665 / 3916Pierre JammesDecember 22, 2014 05:19:29 UTC 2014 年 12 月 22 日 (月) 14 時 19 分 29 秒 (日本時間)

115×10184-13

c174

name 名前Jo Yeong Uk
date 日付June 17, 2016 14:45:26 UTC 2016 年 6 月 17 日 (金) 23 時 45 分 26 秒 (日本時間)
composite number 合成数
214041160528745964150494239687661964551301058910839975018969101297832198495304221482549954352707170518356071817270747820830530445135321384892125631546917311404553682468117197<174>
prime factors 素因数
663285644187139435254433486443932873815091678437725623404215652043779<69>
322698316184808582261600325490517624917025300379464118256321246154674124211184517943798161146164460719343<105>
factorization results 素因数分解の結果
Number: 38333_184
N=214041160528745964150494239687661964551301058910839975018969101297832198495304221482549954352707170518356071817270747820830530445135321384892125631546917311404553682468117197
  ( 174 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=663285644187139435254433486443932873815091678437725623404215652043779
 r2=322698316184808582261600325490517624917025300379464118256321246154674124211184517943798161146164460719343
Version: 
Total time: 56.30 hours.
Scaled time: 295.26 units (timescale=5.244).
Factorization parameters were as follows:
n: 214041160528745964150494239687661964551301058910839975018969101297832198495304221482549954352707170518356071817270747820830530445135321384892125631546917311404553682468117197
m: 10000000000000000000000000000000000000
deg: 5
c5: 23
c0: -2
skew: 0.61
# Murphy_E = 7.329e-11
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [3700000, 6200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 19502505
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1585412 x 1585659
Total sieving time: 51.77 hours.
Total relation processing time: 1.28 hours.
Matrix solve time: 3.08 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,54,54,2.5,2.5,100000
total time: 56.30 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 21:23:58 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 58 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:08:03 UTC 2014 年 12 月 21 日 (日) 8 時 8 分 3 秒 (日本時間)
4511e6498 / 4342CypJune 1, 2015 09:11:38 UTC 2015 年 6 月 1 日 (月) 18 時 11 分 38 秒 (日本時間)

115×10185-13

c143

name 名前Jo Yeong Uk
date 日付September 5, 2016 12:42:35 UTC 2016 年 9 月 5 日 (月) 21 時 42 分 35 秒 (日本時間)
composite number 合成数
58670306322870349824051250578705566562418584486815274313347133995298002558364442764690190864165328406507165607814714623611605655837627013211583<143>
prime factors 素因数
6509776662055091914117077871005938675016035351533342657<55>
9012645036634564953639460355395957881453648326841818714539753487006722649562692440872319<88>
factorization results 素因数分解の結果
Number: 38333_185
N=58670306322870349824051250578705566562418584486815274313347133995298002558364442764690190864165328406507165607814714623611605655837627013211583
  ( 143 digits)
SNFS difficulty: 187 digits.
Divisors found:
 r1=6509776662055091914117077871005938675016035351533342657
 r2=9012645036634564953639460355395957881453648326841818714539753487006722649562692440872319
Version: 
Total time: 75.06 hours.
Scaled time: 394.46 units (timescale=5.255).
Factorization parameters were as follows:
n: 58670306322870349824051250578705566562418584486815274313347133995298002558364442764690190864165328406507165607814714623611605655837627013211583
m: 10000000000000000000000000000000000000
deg: 5
c5: 115
c0: -1
skew: 0.39
# Murphy_E = 5.46e-11
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [3700000, 7100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20500771
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1584715 x 1584963
Total sieving time: 69.71 hours.
Total relation processing time: 1.84 hours.
Matrix solve time: 3.20 hours.
Time per square root: 0.31 hours.
Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,54,54,2.5,2.5,100000
total time: 75.06 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49368528k/51380224k available (5398k kernel code, 1086460k absent, 925236k reserved, 7010k data, 1296k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.70 BogoMIPS (lpj=3399852)
Total of 12 processors activated (81596.44 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:59 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 59 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:08:03 UTC 2014 年 12 月 21 日 (日) 8 時 8 分 3 秒 (日本時間)
4511e6600 / 4342KTakahashiJune 18, 2015 20:21:15 UTC 2015 年 6 月 19 日 (金) 5 時 21 分 15 秒 (日本時間)

115×10187-13

c181

name 名前Serge Batalov
date 日付December 21, 2014 02:00:57 UTC 2014 年 12 月 21 日 (日) 11 時 0 分 57 秒 (日本時間)
composite number 合成数
7931462180019210829030842704545564425987908961794291514243792222147482559766446992062282310244026193384869491686589637547420574354971596709756369552093295292937210179630307099111779<181>
prime factors 素因数
85112566386980194872481428315492314081<38>
composite cofactor 合成数の残り
93187910043240092664325528623648443421608765297259460611127462971229052317146392333034603219598571646214696568694265736207079641828467058501059<143>
factorization results 素因数分解の結果
Input number is 7931462180019210829030842704545564425987908961794291514243792222147482559766446992062282310244026193384869491686589637547420574354971596709756369552093295292937210179630307099111779 (181 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4161178668
Step 1 took 12703ms
Step 2 took 8579ms
********** Factor found in step 2: 85112566386980194872481428315492314081
Found probable prime factor of 38 digits: 85112566386980194872481428315492314081
Composite cofactor 93187910043240092664325528623648443421608765297259460611127462971229052317146392333034603219598571646214696568694265736207079641828467058501059 has 143 digits

c143

name 名前Cyp
date 日付January 28, 2015 21:41:55 UTC 2015 年 1 月 29 日 (木) 6 時 41 分 55 秒 (日本時間)
composite number 合成数
93187910043240092664325528623648443421608765297259460611127462971229052317146392333034603219598571646214696568694265736207079641828467058501059<143>
prime factors 素因数
315036925261983377586526598101331711960909153065573<51>
295799960483189137041565975896539501058983597757684926219550726539874740750393307801870264583<93>
factorization results 素因数分解の結果
Run 164 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=173459383
Step 1 took 41960ms
Step 2 took 14865ms
********** Factor found in step 2: 315036925261983377586526598101331711960909153065573
Found probable prime factor of 51 digits: 315036925261983377586526598101331711960909153065573
Probable prime cofactor 295799960483189137041565975896539501058983597757684926219550726539874740750393307801870264583 has 93 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 / 1752Serge BatalovDecember 20, 2014 21:23:59 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 59 秒 (日本時間)
4511e6164 / 4409CypJanuary 28, 2015 21:41:54 UTC 2015 年 1 月 29 日 (木) 6 時 41 分 54 秒 (日本時間)

115×10188-13

c173

name 名前Serge Batalov
date 日付December 21, 2014 02:01:01 UTC 2014 年 12 月 21 日 (日) 11 時 1 分 1 秒 (日本時間)
composite number 合成数
59731985085301768778650254956215948984376961576881308771780666176955250158471642193820400164286908195424034693988194668457365932804674072898907198898369585657872483546460201<173>
prime factors 素因数
5204953130062667143364163355090025492651179<43>
11475989042111240169438894097026917994119860116164898739323827816134828463448855123414540387770523929342725334590546157504929988219<131>
factorization results 素因数分解の結果
Input number is 59731985085301768778650254956215948984376961576881308771780666176955250158471642193820400164286908195424034693988194668457365932804674072898907198898369585657872483546460201 (173 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3060210092
Step 1 took 11115ms
Step 2 took 8217ms
********** Factor found in step 2: 5204953130062667143364163355090025492651179
Found probable prime factor of 43 digits: 5204953130062667143364163355090025492651179
Probable prime cofactor 11475989042111240169438894097026917994119860116164898739323827816134828463448855123414540387770523929342725334590546157504929988219 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)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:24:00 UTC 2014 年 12 月 21 日 (日) 6 時 24 分 0 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:08:03 UTC 2014 年 12 月 21 日 (日) 8 時 8 分 3 秒 (日本時間)

115×10189-13

c168

name 名前Jo Yeong Uk
date 日付December 15, 2016 04:56:41 UTC 2016 年 12 月 15 日 (木) 13 時 56 分 41 秒 (日本時間)
composite number 合成数
344651231043498183101399684425327654499641960002677996800381631386470554734447239520726300175014083761227838614683408646806776752470132275510981846054382218664195511447<168>
prime factors 素因数
87618051676102480974886548253610427152197<41>
3933564196537602402823825249498539352663144272563789267133967524237627597279744430837306933272369998893068622496620977675230251<127>
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 344651231043498183101399684425327654499641960002677996800381631386470554734447239520726300175014083761227838614683408646806776752470132275510981846054382218664195511447 (168 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=387286836
Step 1 took 29645ms
Step 2 took 10027ms
********** Factor found in step 2: 87618051676102480974886548253610427152197
Found probable prime factor of 41 digits: 87618051676102480974886548253610427152197
Probable prime cofactor 3933564196537602402823825249498539352663144272563789267133967524237627597279744430837306933272369998893068622496620977675230251 has 127 digits
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:24:00 UTC 2014 年 12 月 21 日 (日) 6 時 24 分 0 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:08:04 UTC 2014 年 12 月 21 日 (日) 8 時 8 分 4 秒 (日本時間)
4511e6498 / 4342CypJuly 24, 2015 03:34:32 UTC 2015 年 7 月 24 日 (金) 12 時 34 分 32 秒 (日本時間)

115×10191-13

c188

name 名前Robert Backstrom
date 日付December 30, 2014 17:03:29 UTC 2014 年 12 月 31 日 (水) 2 時 3 分 29 秒 (日本時間)
composite number 合成数
67598944280835405387929767635976745963167392620546552159933223999388670416938531986056982970944210297376573144996796397857995191657702458838121102039136849654069750354159686340898536923719<188>
prime factors 素因数
2146620338185382688074491500520589422360798147765657656734907266993592666758832703779773293<91>
31490871058260486424843624033772431146019830001254273383179863023108585001475218263408750251642883<98>
factorization results 素因数分解の結果
Number: n
N=67598944280835405387929767635976745963167392620546552159933223999388670416938531986056982970944210297376573144996796397857995191657702458838121102039136849654069750354159686340898536923719
  ( 188 digits)
SNFS difficulty: 193 digits.
Divisors found:

Wed Dec 31 03:58:06 2014  prp91 factor: 2146620338185382688074491500520589422360798147765657656734907266993592666758832703779773293
Wed Dec 31 03:58:06 2014  prp98 factor: 31490871058260486424843624033772431146019830001254273383179863023108585001475218263408750251642883
Wed Dec 31 03:58:06 2014  elapsed time 01:53:48 (Msieve 1.44 - dependency 6)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.306).
Factorization parameters were as follows:
#
#  N = 115*10^191-1 383(191)
#
n: 67598944280835405387929767635976745963167392620546552159933223999388670416938531986056982970944210297376573144996796397857995191657702458838121102039136849654069750354159686340898536923719
m: 100000000000000000000000000000000000000
deg: 5
c5: 1150
c0: -1
skew: 0.24
# Murphy_E = 2.597e-11
type: snfs
lss: 1
rlim: 11600000
alim: 11600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11600000/11600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 14200000)
Primes: RFBsize:763455, AFBsize:763058,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 4438966 hash collisions in 32140237 relations (29413316 unique)
Msieve: matrix is 1441279 x 1441506 (405.2 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 1hrs 26min 9sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 20min 31sec.

Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,11600000,11600000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.038914] smpboot: CPU0: Intel(R) Core(TM) i7-4790 CPU @ 3.60GHz (fam: 06, model: 3c, stepping: 03)
[    0.000000] Memory: 16059668K/16661464K available (7375K kernel code, 1160K rwdata, 3228K rodata, 1468K init, 1504K bss, 601796K reserved)
[    1.131637] [drm] Memory usable by graphics device = 2048M
[    0.000027] Calibrating delay loop (skipped), value calculated using timer frequency.. 7200.29 BogoMIPS (lpj=3600149)
[    0.136791] smpboot: Total of 8 processors activated (57602.38 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:24 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 24 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:45 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 45 秒 (日本時間)

115×10192-13

c188

name 名前Jo Yeong Uk
date 日付May 9, 2017 10:18:00 UTC 2017 年 5 月 9 日 (火) 19 時 18 分 0 秒 (日本時間)
composite number 合成数
25997107765245664756218338631091772277091190394000862199730579538829393189074252034951868050436197559029824108090096480918461993019663534128211857891218606514332657634593243600359799971471<188>
prime factors 素因数
126708316272496337874044204332210598330818730049726901951944844511121910844279<78>
205172861024660855692045017178359344238505516133347103550177400856109733397892939386201118876716102893368974249<111>
factorization results 素因数分解の結果
Number: 38333_192
N=25997107765245664756218338631091772277091190394000862199730579538829393189074252034951868050436197559029824108090096480918461993019663534128211857891218606514332657634593243600359799971471
  ( 188 digits)
SNFS difficulty: 194 digits.
Divisors found:
 r1=126708316272496337874044204332210598330818730049726901951944844511121910844279
 r2=205172861024660855692045017178359344238505516133347103550177400856109733397892939386201118876716102893368974249
Version: 
Total time: 135.98 hours.
Scaled time: 712.96 units (timescale=5.243).
Factorization parameters were as follows:
n: 25997107765245664756218338631091772277091190394000862199730579538829393189074252034951868050436197559029824108090096480918461993019663534128211857891218606514332657634593243600359799971471
m: 100000000000000000000000000000000000000
deg: 5
c5: 11500
c0: -1
skew: 0.15
# Murphy_E = 2.625e-11
type: snfs
lss: 1
rlim: 11000000
alim: 11000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11000000/11000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [5500000, 11200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 22991553
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2117027 x 2117275
Total sieving time: 125.07 hours.
Total relation processing time: 3.58 hours.
Matrix solve time: 6.77 hours.
Time per square root: 0.57 hours.
Prototype def-par.txt line would be:
snfs,194,5,0,0,0,0,0,0,0,0,11000000,11000000,28,28,55,55,2.5,2.5,100000
total time: 135.98 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49367836k/51380224k available (5467k kernel code, 1086464k absent, 925924k reserved, 6954k data, 1316k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.09 BogoMIPS (lpj=3400049)
Total of 12 processors activated (81601.17 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:24:01 UTC 2014 年 12 月 21 日 (日) 6 時 24 分 1 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:08:04 UTC 2014 年 12 月 21 日 (日) 8 時 8 分 4 秒 (日本時間)
4511e6498 / 4342CypJune 11, 2015 06:03:29 UTC 2015 年 6 月 11 日 (木) 15 時 3 分 29 秒 (日本時間)

115×10195-13

c197

name 名前Serge Batalov
date 日付December 20, 2014 04:11:53 UTC 2014 年 12 月 20 日 (土) 13 時 11 分 53 秒 (日本時間)
composite number 合成数
38333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<197>
prime factors 素因数
515946988317042400063628121370998261798973<42>
74297038651920615304586826766862026486168367878667301260928967001905575846151304510367708717276949417668011144134617034891151352730645652747991900724931321<155>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=839757933
Step 1 took 59143ms
Step 2 took 25870ms
********** Factor found in step 2: 515946988317042400063628121370998261798973
Found probable prime factor of 42 digits: 515946988317042400063628121370998261798973
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:25 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 25 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:47 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 47 秒 (日本時間)
4511e62000 / 3916Serge BatalovDecember 20, 2014 04:01:55 UTC 2014 年 12 月 20 日 (土) 13 時 1 分 55 秒 (日本時間)

115×10198-13

c178

name 名前Jo Yeong Uk
date 日付April 17, 2018 02:53:06 UTC 2018 年 4 月 17 日 (火) 11 時 53 分 6 秒 (日本時間)
composite number 合成数
8590341349604331492477180659626922349094573423307923245052142905843371073305204372660374492646649476721854649028558323652244704359120657628047033567155824772081779061925018110367<178>
prime factors 素因数
124013247455025869727167623472004309847235962043836000671449774283558001817<75>
69269546003298309548497825759594822714437967935361734365675207009102830237340991274357466782902830908151<104>
factorization results 素因数分解の結果
Number: 38333_198
N=8590341349604331492477180659626922349094573423307923245052142905843371073305204372660374492646649476721854649028558323652244704359120657628047033567155824772081779061925018110367
  ( 178 digits)
SNFS difficulty: 200 digits.
Divisors found:
 r1=124013247455025869727167623472004309847235962043836000671449774283558001817
 r2=69269546003298309548497825759594822714437967935361734365675207009102830237340991274357466782902830908151
Version: 
Total time: 203.31 hours.
Scaled time: 1063.09 units (timescale=5.229).
Factorization parameters were as follows:
n: 8590341349604331492477180659626922349094573423307923245052142905843371073305204372660374492646649476721854649028558323652244704359120657628047033567155824772081779061925018110367
m: 5000000000000000000000000000000000000000
deg: 5
c5: 184
c0: -5
skew: 0.49
# Murphy_E = 1.495e-11
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 200000
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [8000000, 15400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 38893659
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2780081 x 2780327
Total sieving time: 187.13 hours.
Total relation processing time: 2.13 hours.
Matrix solve time: 13.86 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
snfs,200,5,0,0,0,0,0,0,0,0,16000000,16000000,29,29,56,56,2.6,2.6,100000
total time: 203.31 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 21:24:01 UTC 2014 年 12 月 21 日 (日) 6 時 24 分 1 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:08:05 UTC 2014 年 12 月 21 日 (日) 8 時 8 分 5 秒 (日本時間)
4511e6498 / 4342CypJuly 24, 2015 03:09:32 UTC 2015 年 7 月 24 日 (金) 12 時 9 分 32 秒 (日本時間)

115×10201-13

c201

name 名前Serge Batalov
date 日付December 20, 2014 01:31:23 UTC 2014 年 12 月 20 日 (土) 10 時 31 分 23 秒 (日本時間)
composite number 合成数
235173824130879345603271983640081799591002044989775051124744376278118609406952965235173824130879345603271983640081799591002044989775051124744376278118609406952965235173824130879345603271983640081799591<201>
prime factors 素因数
242372462477510831054840240564721767<36>
composite cofactor 合成数の残り
970299272974134055681152191525365617731594740367077019412198633303050753060788441800700659580350331912151066779078536130745820673439198478408175118770283400686791873<165>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1467560964
Step 1 took 16054ms
Step 2 took 10243ms
********** Factor found in step 2: 242372462477510831054840240564721767
Found probable prime factor of 36 digits: 242372462477510831054840240564721767
Composite cofactor

c165

name 名前Jo Yeong Uk
date 日付January 13, 2021 01:42:28 UTC 2021 年 1 月 13 日 (水) 10 時 42 分 28 秒 (日本時間)
composite number 合成数
970299272974134055681152191525365617731594740367077019412198633303050753060788441800700659580350331912151066779078536130745820673439198478408175118770283400686791873<165>
prime factors 素因数
1220584484215084548914422259176505440693513322128878716864755058105378064701689<79>
794946425685641734162355321684858282321747537216515201593097497878616083649946447080457<87>
factorization results 素因数分解の結果
Number: 38333_201
N=970299272974134055681152191525365617731594740367077019412198633303050753060788441800700659580350331912151066779078536130745820673439198478408175118770283400686791873
  ( 165 digits)
SNFS difficulty: 203 digits.
Divisors found:
 r1=1220584484215084548914422259176505440693513322128878716864755058105378064701689
 r2=794946425685641734162355321684858282321747537216515201593097497878616083649946447080457
Version: 
Total time: 300.04 hours.
Scaled time: 1574.01 units (timescale=5.246).
Factorization parameters were as follows:
n: 970299272974134055681152191525365617731594740367077019412198633303050753060788441800700659580350331912151066779078536130745820673439198478408175118770283400686791873
m: 10000000000000000000000000000000000000000
deg: 5
c5: 1150
c0: -1
skew: 0.24
# Murphy_E = 9.938e-12
type: snfs
lss: 1
rlim: 17000000
alim: 17000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17000000/17000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [8500000, 19400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 39670927
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3417277 x 3417523
Total sieving time: 265.67 hours.
Total relation processing time: 11.67 hours.
Matrix solve time: 22.38 hours.
Time per square root: 0.32 hours.
Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17000000,17000000,29,29,56,56,2.6,2.6,100000
total time: 300.04 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49367540k/51380224k available (5548k kernel code, 1086464k absent, 926220k reserved, 6882k data, 1352k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.05 BogoMIPS (lpj=3400026)
Total of 12 processors activated (81600.62 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
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 18:02:27 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 27 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:48 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 48 秒 (日本時間)

115×10202-13

c141

name 名前Erik Branger
date 日付September 1, 2016 05:58:43 UTC 2016 年 9 月 1 日 (木) 14 時 58 分 43 秒 (日本時間)
composite number 合成数
155072973019286845997647276108324143374018746034221159902473169288366203905520583023454161085821992540527443154757888545150746957501858008481<141>
prime factors 素因数
134092428830957130393444777705247094139369074591<48>
1156463302001776111928733936095927714313915462147329304521461761189162267025145445638191577791<94>
factorization results 素因数分解の結果
Number: 38333_202
N = 155072973019286845997647276108324143374018746034221159902473169288366203905520583023454161085821992540527443154757888545150746957501858008481 (141 digits)
Divisors found:
r1=134092428830957130393444777705247094139369074591 (pp48)
r2=1156463302001776111928733936095927714313915462147329304521461761189162267025145445638191577791 (pp94)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 207.99 hours.
Factorization parameters were as follows:
# Murphy_E = 2.044e-11, selected by Erik Branger
# expecting poly E from 2.00e-011 to > 2.30e-011
n: 155072973019286845997647276108324143374018746034221159902473169288366203905520583023454161085821992540527443154757888545150746957501858008481
Y0: -1866792310563539304623311038
Y1: 253299176899733
c0: -113323533154510403997588425065719833
c1: -88808265822468055957244674213
c2: 304852906542736590955355
c3: -41013654348911651
c4: -606048306
c5: 6840
skew: 2302448.73
type: gnfs
# selected mechanically
rlim: 18500000
alim: 18500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18500000/18500000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23269440
Relations: 3732954 relations
Pruned matrix : 2322235 x 2322463
Polynomial selection time: 0.00 hours.
Total sieving time: 204.93 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 2.41 hours.
time per square root: 0.49 hours.
Prototype def-par.txt line would be: gnfs,140,5,65,2000,1e-05,0.28,250,20,50000,3600,18500000,18500000,28,28,56,56,2.6,2.6,100000
total time: 207.99 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-8-6.2.9200
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 18:01:57 UTC 2014 年 12 月 20 日 (土) 3 時 1 分 57 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:17 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 17 秒 (日本時間)
4511e6800 / 2864Dmitry DomanovFebruary 29, 2016 06:31:35 UTC 2016 年 2 月 29 日 (月) 15 時 31 分 35 秒 (日本時間)
5043e6300 / 7280Rich DickersonMay 29, 2016 16:53:13 UTC 2016 年 5 月 30 日 (月) 1 時 53 分 13 秒 (日本時間)

115×10206-13

c202

name 名前Bob Backstrom
date 日付September 5, 2020 16:34:55 UTC 2020 年 9 月 6 日 (日) 1 時 34 分 55 秒 (日本時間)
composite number 合成数
1218979489451110495614800785361985499231989922537563382958518339970411657853444957935137783371656988499511507219379526720083407876579068680590380386259620795620492889586639815198469470552688480463627719<202>
prime factors 素因数
2765159997540519631758040902385566471354121073240137946105468855263912207395841385991773837<91>
440835065795590738174900751342592332496322398586038349541756982093170594542098612420808991598424412053114714787<111>
factorization results 素因数分解の結果
Number: n
N=1218979489451110495614800785361985499231989922537563382958518339970411657853444957935137783371656988499511507219379526720083407876579068680590380386259620795620492889586639815198469470552688480463627719  ( 202 digits)
SNFS difficulty: 208 digits.
Divisors found:

Sun Sep  6 02:28:04 2020  p91 factor: 2765159997540519631758040902385566471354121073240137946105468855263912207395841385991773837
Sun Sep  6 02:28:04 2020  p111 factor: 440835065795590738174900751342592332496322398586038349541756982093170594542098612420808991598424412053114714787
Sun Sep  6 02:28:04 2020  elapsed time 03:13:46 (Msieve 1.54 - dependency 5)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.125).
Factorization parameters were as follows:
#
# N = 115x10^206-1 = 383(206)
#
n: 1218979489451110495614800785361985499231989922537563382958518339970411657853444957935137783371656988499511507219379526720083407876579068680590380386259620795620492889586639815198469470552688480463627719
m: 100000000000000000000000000000000000000000
deg: 5
c5: 1150
c0: -1
skew: 0.24
# Murphy_E = 6.111e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 50500000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 10047686 hash collisions in 65740916 relations (58145510 unique)
Msieve: matrix is 2666649 x 2666875 (921.9 MB)

Sieving start time: 2020/09/05 02:12:18
Sieving end time  : 2020/09/05 23:13:14

Total sieving time: 21hrs 0min 56secs.

Total relation processing time: 2hrs 35min 51sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 19min 18sec.

Prototype def-par.txt line would be:
snfs,208,5,0,0,0,0,0,0,0,0,21000000,21000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149587] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283124K/16703460K available (12300K kernel code, 2481K rwdata, 4272K rodata, 2436K init, 2724K bss, 420336K reserved, 0K cma-reserved)
[    0.184717] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.39 BogoMIPS (lpj=11976780)
[    0.182223] smpboot: Total of 16 processors activated (95814.24 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:24:01 UTC 2014 年 12 月 21 日 (日) 6 時 24 分 1 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:08:05 UTC 2014 年 12 月 21 日 (日) 8 時 8 分 5 秒 (日本時間)
4511e6498 / 4342CypMay 30, 2015 09:22:41 UTC 2015 年 5 月 30 日 (土) 18 時 22 分 41 秒 (日本時間)

115×10207-13

c209

name 名前Serge Batalov
date 日付January 11, 2015 22:29:53 UTC 2015 年 1 月 12 日 (月) 7 時 29 分 53 秒 (日本時間)
composite number 合成数
38333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<209>
prime factors 素因数
89208301658079524557416725685146304364688129994893771<53>
429705897554899970249256766154968274935573187537501059102617396407333988704169953002361078840156633945062011200405422964053545379110212880692488831345334623<156>
factorization results 素因数分解の結果
Using B1=43000000, B2=582162027730, polynomial Dickson(30), sigma=2548207436
Step 1 took 234358ms
********** Factor found in step 1: 89208301658079524557416725685146304364688129994893771
Found probable prime factor of 53 digits: 89208301658079524557416725685146304364688129994893771
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:32 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 32 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:51 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 51 秒 (日本時間)
4511e62000Serge BatalovDecember 20, 2014 04:01:56 UTC 2014 年 12 月 20 日 (土) 13 時 1 分 56 秒 (日本時間)
5043e61000 / 7010Serge BatalovJanuary 11, 2015 21:22:42 UTC 2015 年 1 月 12 日 (月) 6 時 22 分 42 秒 (日本時間)

115×10209-13

c192

name 名前Serge Batalov
date 日付December 21, 2014 02:01:05 UTC 2014 年 12 月 21 日 (日) 11 時 1 分 5 秒 (日本時間)
composite number 合成数
195733245890331434799435676169655568192580130024242597465772986638467197096275732975326003572700596438960577407432554653487648702935265953361321651563386749607613922198160991398994483052920461<192>
prime factors 素因数
60285318778270966836033675266009189<35>
composite cofactor 合成数の残り
3246781303591295820124563380807810975526381931970887344467588288714175124934235083353604056976068030310507700549996082664516640570225213816047261126618371849<157>
factorization results 素因数分解の結果
Input number is 195733245890331434799435676169655568192580130024242597465772986638467197096275732975326003572700596438960577407432554653487648702935265953361321651563386749607613922198160991398994483052920461 (192 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4044578799
Step 1 took 13641ms
Step 2 took 9430ms
********** Factor found in step 2: 60285318778270966836033675266009189
Found probable prime factor of 35 digits: 60285318778270966836033675266009189
Composite cofactor 3246781303591295820124563380807810975526381931970887344467588288714175124934235083353604056976068030310507700549996082664516640570225213816047261126618371849 has 157 digits

c157

name 名前Serge Batalov
date 日付June 10, 2015 16:54:56 UTC 2015 年 6 月 11 日 (木) 1 時 54 分 56 秒 (日本時間)
composite number 合成数
3246781303591295820124563380807810975526381931970887344467588288714175124934235083353604056976068030310507700549996082664516640570225213816047261126618371849<157>
prime factors 素因数
11658122806350062628071480678825699<35>
278499494088602891605817696927922738157221989976846349278894379586248564366999096711489640446334497068043418970194540898851<123>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=3604674436
Step 1 took 8233ms
Step 2 took 3988ms
********** Factor found in step 2: 11658122806350062628071480678825699
Found probable prime factor of 35 digits: 11658122806350062628071480678825699
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)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:24:02 UTC 2014 年 12 月 21 日 (日) 6 時 24 分 2 秒 (日本時間)

115×10210-13

c208

name 名前Serge Batalov
date 日付December 20, 2014 01:31:07 UTC 2014 年 12 月 20 日 (土) 10 時 31 分 7 秒 (日本時間)
composite number 合成数
3487702059260607163436751281351408728353501349589057713887119764655930609892942710702696145331028417189821975555757741182179358869377975919691869105025323749734631365056258150608073272071088466320929245139963<208>
prime factors 素因数
25401584691187344576823797279181053581<38>
137302538469995815800429927944855264952052258691832565165465303908334240911447453676843598178266995819469742307653869808166875763692261606339566662847752592366103821139623<171>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3996301564
Step 1 took 16016ms
Step 2 took 10516ms
********** Factor found in step 2: 25401584691187344576823797279181053581
Found probable prime factor of 38 digits: 25401584691187344576823797279181053581
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:35 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 35 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:53 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 53 秒 (日本時間)

115×10213-13

c174

composite cofactor 合成数の残り
168981205895685752234789890037636679994205990418709481666710541734607387840862112952672287589922407889442948651723872697275710035691995556392115320352434972425964878369746999<174>

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 21:24:02 UTC 2014 年 12 月 21 日 (日) 6 時 24 分 2 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:08:05 UTC 2014 年 12 月 21 日 (日) 8 時 8 分 5 秒 (日本時間)
4511e61298 / 4342498CypJuly 24, 2015 01:45:18 UTC 2015 年 7 月 24 日 (金) 10 時 45 分 18 秒 (日本時間)
800Dmitry DomanovMarch 4, 2022 18:29:15 UTC 2022 年 3 月 5 日 (土) 3 時 29 分 15 秒 (日本時間)

115×10215-13

c213

name 名前Serge Batalov
date 日付December 20, 2014 01:32:51 UTC 2014 年 12 月 20 日 (土) 10 時 32 分 51 秒 (日本時間)
composite number 合成数
426827005159039453661433396429499313365252570240878892476710091675017629811082655977433841814200348884682477823553427606428385851612663771666109935790372267379282188323497754518798945922874215937349218721003600193<213>
prime factors 素因数
114834374757395939971058923332919199<36>
3716892316092394983956873716118412030415469831393554551552940622325817995092842482657024298272784291791234021730576491377278019977029394918569180973794351221397253569283811474207<178>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=791659399
Step 1 took 18681ms
Step 2 took 11372ms
********** Factor found in step 2: 114834374757395939971058923332919199
Found probable prime factor of 36 digits: 114834374757395939971058923332919199
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:37 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 37 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:54 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 54 秒 (日本時間)

115×10216-13

c201

composite cofactor 合成数の残り
196209074596000073657400330583636297559651697500437139455450421844048942818437382670432411749487332194399273882726456008031019796890626941691075364651127163795617827155046024746960592365590117364921783<201>

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 21:24:03 UTC 2014 年 12 月 21 日 (日) 6 時 24 分 3 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:08:06 UTC 2014 年 12 月 21 日 (日) 8 時 8 分 6 秒 (日本時間)
4511e61298 / 4342498CypJuly 24, 2015 04:27:19 UTC 2015 年 7 月 24 日 (金) 13 時 27 分 19 秒 (日本時間)
800Dmitry DomanovMarch 6, 2022 07:33:28 UTC 2022 年 3 月 6 日 (日) 16 時 33 分 28 秒 (日本時間)

115×10217-13

c186

name 名前Serge Batalov
date 日付December 21, 2014 02:01:08 UTC 2014 年 12 月 21 日 (日) 11 時 1 分 8 秒 (日本時間)
composite number 合成数
312484067809734297592305465485528523162520403899903130309834697043886883679359659399440199761139265416753110344616486869512731173646962726422293464557071790345242797689037009555090392057<186>
prime factors 素因数
214557772514924591230496424670354037<36>
1456409917697099390359467477760276130633398698792820481672625400581391340710620499181801324898605431759300521896330213107986532874983566003391623113461<151>
factorization results 素因数分解の結果
Input number is 312484067809734297592305465485528523162520403899903130309834697043886883679359659399440199761139265416753110344616486869512731173646962726422293464557071790345242797689037009555090392057 (186 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2957756113
Step 1 took 13664ms
Step 2 took 9420ms
********** Factor found in step 2: 214557772514924591230496424670354037
Found probable prime factor of 36 digits: 214557772514924591230496424670354037
Probable prime cofactor 1456409917697099390359467477760276130633398698792820481672625400581391340710620499181801324898605431759300521896330213107986532874983566003391623113461 has 151 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 21:24:03 UTC 2014 年 12 月 21 日 (日) 6 時 24 分 3 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:08:06 UTC 2014 年 12 月 21 日 (日) 8 時 8 分 6 秒 (日本時間)

115×10219-13

c160

name 名前Erik Branger
date 日付January 6, 2020 15:32:30 UTC 2020 年 1 月 7 日 (火) 0 時 32 分 30 秒 (日本時間)
composite number 合成数
7621091108777145410666317555271910549615966465046360619704227916389120340690194490785805858377957692581573630192703225183878611789737672820761232250399704669641<160>
prime factors 素因数
109695731575901284861281022657388134013003867<45>
69474819113667311425275316333609627608989445768141037343015442859511552701874009520008789004298026867349631484382123<116>
factorization results 素因数分解の結果
Number: 38333_219
N = 7621091108777145410666317555271910549615966465046360619704227916389120340690194490785805858377957692581573630192703225183878611789737672820761232250399704669641 (160 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=109695731575901284861281022657388134013003867 (pp45)
r2=69474819113667311425275316333609627608989445768141037343015442859511552701874009520008789004298026867349631484382123 (pp116)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 75.15 hours.
Factorization parameters were as follows:
n: 7621091108777145410666317555271910549615966465046360619704227916389120340690194490785805858377957692581573630192703225183878611789737672820761232250399704669641
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 23
c0: -2
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 7672048 relations
Pruned matrix : 6800332 x 6800557
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 40.00 hours.
Total relation processing time: 0.42 hours.
Matrix solve time: 34.02 hours.
time per square root: 0.70 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 75.15 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:24:04 UTC 2014 年 12 月 21 日 (日) 6 時 24 分 4 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:08:07 UTC 2014 年 12 月 21 日 (日) 8 時 8 分 7 秒 (日本時間)
4511e6498 / 4342CypJune 3, 2015 15:00:58 UTC 2015 年 6 月 4 日 (木) 0 時 0 分 58 秒 (日本時間)

115×10221-13

c173

name 名前Erik Branger
date 日付February 7, 2020 16:21:37 UTC 2020 年 2 月 8 日 (土) 1 時 21 分 37 秒 (日本時間)
composite number 合成数
25601841007768245490879386832930468231215506496334261273847472705958636922188389651720447708306400325206032023716924770571143430003749032410154305147103483162420263718248061<173>
prime factors 素因数
156123141374299921055728030733130451428350456875354190866511<60>
163984921020700592351657586959772073802836333477820663382930072288181179826053997265680036976913250783616209096051<114>
factorization results 素因数分解の結果
Number: 38333_221
N = 25601841007768245490879386832930468231215506496334261273847472705958636922188389651720447708306400325206032023716924770571143430003749032410154305147103483162420263718248061 (173 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=156123141374299921055728030733130451428350456875354190866511 (pp60)
r2=163984921020700592351657586959772073802836333477820663382930072288181179826053997265680036976913250783616209096051 (pp114)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 59.83 hours.
Factorization parameters were as follows:
n: 25601841007768245490879386832930468231215506496334261273847472705958636922188389651720447708306400325206032023716924770571143430003749032410154305147103483162420263718248061
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 1150
c0: -1
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 33655233
Relations: 10187372 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 26.95 hours.
Total relation processing time: 0.33 hours.
Pruned matrix : 8646357 x 8646582
Matrix solve time: 32.35 hours.
time per square root: 0.19 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 59.83 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:24:04 UTC 2014 年 12 月 21 日 (日) 6 時 24 分 4 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:08:07 UTC 2014 年 12 月 21 日 (日) 8 時 8 分 7 秒 (日本時間)
4511e6498 / 4342CypJune 8, 2015 16:01:11 UTC 2015 年 6 月 9 日 (火) 1 時 1 分 11 秒 (日本時間)

115×10222-13

c198

composite cofactor 合成数の残り
359084257451649499604117362063134293430669760283739768434461915129381150243230526512867604498420516818984042122454206351615789301327703724482954099805409780397000506373045361401906431438099547263553<198>

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 21:24:04 UTC 2014 年 12 月 21 日 (日) 6 時 24 分 4 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:08:07 UTC 2014 年 12 月 21 日 (日) 8 時 8 分 7 秒 (日本時間)
4511e61298 / 4342498CypMay 18, 2015 17:35:03 UTC 2015 年 5 月 19 日 (火) 2 時 35 分 3 秒 (日本時間)
800Dmitry DomanovMarch 5, 2022 21:36:04 UTC 2022 年 3 月 6 日 (日) 6 時 36 分 4 秒 (日本時間)

115×10224-13

c205

composite cofactor 合成数の残り
4541887929115607900805760155356926516430088455164109261223585954981897233335032775166128973763796573668284883165056984252013108973111792558977024032995400282196135452238587985735648792656381217660751462687<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:24:05 UTC 2014 年 12 月 21 日 (日) 6 時 24 分 5 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:08:08 UTC 2014 年 12 月 21 日 (日) 8 時 8 分 8 秒 (日本時間)
4511e61298 / 4342498CypFebruary 2, 2015 00:59:13 UTC 2015 年 2 月 2 日 (月) 9 時 59 分 13 秒 (日本時間)
800Dmitry DomanovMarch 6, 2022 07:33:58 UTC 2022 年 3 月 6 日 (日) 16 時 33 分 58 秒 (日本時間)

115×10225-13

c193

composite cofactor 合成数の残り
2223838592132005414433164405221911876832700884249886022820393448499594677503902347640963347693209336900683457929856062797087832341364299012087607764579847629830781413265445334539628854079474701<193>

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 21:24:05 UTC 2014 年 12 月 21 日 (日) 6 時 24 分 5 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:08:08 UTC 2014 年 12 月 21 日 (日) 8 時 8 分 8 秒 (日本時間)
4511e61298 / 4342498CypMay 19, 2015 03:06:35 UTC 2015 年 5 月 19 日 (火) 12 時 6 分 35 秒 (日本時間)
800Dmitry DomanovMarch 5, 2022 21:36:12 UTC 2022 年 3 月 6 日 (日) 6 時 36 分 12 秒 (日本時間)

115×10226-13

c210

composite cofactor 合成数の残り
579015244274145828632394250754777336594680362317897076774833800355701875188265029145410546866890818436154811304084127557955071409933643185579960105495425180125432055110822689461599408857090960336531956452895037<210>

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 21:24:06 UTC 2014 年 12 月 21 日 (日) 6 時 24 分 6 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:08:08 UTC 2014 年 12 月 21 日 (日) 8 時 8 分 8 秒 (日本時間)
4511e61298 / 4342498CypJuly 24, 2015 04:22:13 UTC 2015 年 7 月 24 日 (金) 13 時 22 分 13 秒 (日本時間)
800Dmitry DomanovMarch 6, 2022 07:33:59 UTC 2022 年 3 月 6 日 (日) 16 時 33 分 59 秒 (日本時間)

115×10227-13

c173

composite cofactor 合成数の残り
46991564712247068911618363582153117928190093443329207746461245831358542252507468359559891741449614035229723062043583828668480909472312480217621538164930393339978240579388539<173>

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 21:24:06 UTC 2014 年 12 月 21 日 (日) 6 時 24 分 6 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:08:09 UTC 2014 年 12 月 21 日 (日) 8 時 8 分 9 秒 (日本時間)
4511e61298 / 4342498CypFebruary 9, 2015 16:37:14 UTC 2015 年 2 月 10 日 (火) 1 時 37 分 14 秒 (日本時間)
800Dmitry DomanovMarch 4, 2022 18:29:16 UTC 2022 年 3 月 5 日 (土) 3 時 29 分 16 秒 (日本時間)

115×10228-13

c229

name 名前ebina
date 日付July 28, 2024 14:58:43 UTC 2024 年 7 月 28 日 (日) 23 時 58 分 43 秒 (日本時間)
composite number 合成数
2254901960784313725490196078431372549019607843137254901960784313725490196078431372549019607843137254901960784313725490196078431372549019607843137254901960784313725490196078431372549019607843137254901960784313725490196078431372549<229>
prime factors 素因数
447141805092343768546480147132866320292110291342173658944277331025602753625439044908000302881<93>
5042923598518441271468737672244886491587318057373860231866054232150174747689726331928404761267012756241746349546964625257932458099869029<136>
factorization results 素因数分解の結果
Number: 38333_228
N = 2254901960784313725490196078431372549019607843137254901960784313725490196078431372549019607843137254901960784313725490196078431372549019607843137254901960784313725490196078431372549019607843137254901960784313725490196078431372549 (229 digits)
SNFS difficulty: 231 digits.
Divisors found:
r1=447141805092343768546480147132866320292110291342173658944277331025602753625439044908000302881 (pp93)
r2=5042923598518441271468737672244886491587318057373860231866054232150174747689726331928404761267012756241746349546964625257932458099869029 (pp136)
Version: Msieve v. 1.54 (SVN 1018)
Total time: 263.91 hours.
Factorization parameters were as follows:
n: 2254901960784313725490196078431372549019607843137254901960784313725490196078431372549019607843137254901960784313725490196078431372549019607843137254901960784313725490196078431372549019607843137254901960784313725490196078431372549
m: 100000000000000000000000000000000000000
deg: 6
c6: 115
c0: -1
skew: 0.45
# Murphy_E = 1.267e-12
type: snfs
lss: 1
rlim: 48000000
alim: 48000000
lpbr: 30
lpba: 30
mfbr: 59
mfba: 59
rlambda: 2.7
alambda: 2.7
Factor base limits: 48000000/48000000
Large primes per side: 3
Large prime bits: 30/30
Sieved rational special-q in [0, 0)
Total raw relations: 79695155
Relations: 12197354 relations
Pruned matrix : 7652703 x 7652932
Total sieving time: 246.47 hours.
Total relation processing time: 0.47 hours.
Matrix solve time: 16.47 hours.
time per square root: 0.49 hours.
Prototype def-par.txt line would be: snfs,231,6,0,0,0,0,0,0,0,0,48000000,48000000,30,30,59,59,2.7,2.7,100000
total time: 263.91 hours.
Intel64 Family 6 Model 158 Stepping 12, GenuineIntel
processors: 16, speed: 3.60GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

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 18:02:46 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 46 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:03:01 UTC 2014 年 12 月 20 日 (土) 10 時 3 分 1 秒 (日本時間)
4511e640001000Serge BatalovDecember 21, 2014 10:24:44 UTC 2014 年 12 月 21 日 (日) 19 時 24 分 44 秒 (日本時間)
3000ebinaJuly 6, 2024 11:25:03 UTC 2024 年 7 月 6 日 (土) 20 時 25 分 3 秒 (日本時間)

115×10229-13

c218

composite cofactor 合成数の残り
16270510751966882982295927237844789642562735291924390920215467010885779299915117491859821742130378954422349749499628635077787050157512323320633817588947891185539734562517325672432836187362297215805312489319836796401401<218>

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 21:24:07 UTC 2014 年 12 月 21 日 (日) 6 時 24 分 7 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:08:09 UTC 2014 年 12 月 21 日 (日) 8 時 8 分 9 秒 (日本時間)
4511e61298 / 4342498CypJune 18, 2015 06:07:41 UTC 2015 年 6 月 18 日 (木) 15 時 7 分 41 秒 (日本時間)
800Dmitry DomanovMarch 6, 2022 07:34:09 UTC 2022 年 3 月 6 日 (日) 16 時 34 分 9 秒 (日本時間)

115×10230-13

c226

name 名前Cyp
date 日付May 20, 2015 19:18:28 UTC 2015 年 5 月 21 日 (木) 4 時 18 分 28 秒 (日本時間)
composite number 合成数
1092933878355699037182275805760749931311481688558132250131318381427651056054487790835644888486055636796973846662517319438057117104633783042361071710052815316888575010950722272481341005158933019024557463944824136009633784467927<226>
prime factors 素因数
966005516330011642836425982072660489172635634481<48>
composite cofactor 合成数の残り
1131395069572589781749851810901709441432627467184587711573789643665933026823177287352392483542649780466333820975938331988213888305275077193987572004270064636041404705138511141767<178>
factorization results 素因数分解の結果
Run 177 out of 498:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1828589655
Step 1 took 80754ms
Step 2 took 23649ms
********** Factor found in step 2: 966005516330011642836425982072660489172635634481
Found probable prime factor of 48 digits: 966005516330011642836425982072660489172635634481
Composite cofactor 1131395069572589781749851810901709441432627467184587711573789643665933026823177287352392483542649780466333820975938331988213888305275077193987572004270064636041404705138511141767 has 178 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 21:24:07 UTC 2014 年 12 月 21 日 (日) 6 時 24 分 7 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:08:10 UTC 2014 年 12 月 21 日 (日) 8 時 8 分 10 秒 (日本時間)
4511e61298 / 4342498CypMay 20, 2015 19:18:27 UTC 2015 年 5 月 21 日 (木) 4 時 18 分 27 秒 (日本時間)
800Dmitry DomanovMarch 4, 2022 18:29:16 UTC 2022 年 3 月 5 日 (土) 3 時 29 分 16 秒 (日本時間)

115×10231-13

c191

composite cofactor 合成数の残り
56728242075713336835576613247694809160248982767124244533320451467017719279992311227265090878565941502441527576754202098465826201851976171385554177441715579935174250564799653741087042733245143<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 21:24:08 UTC 2014 年 12 月 21 日 (日) 6 時 24 分 8 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:08:10 UTC 2014 年 12 月 21 日 (日) 8 時 8 分 10 秒 (日本時間)
4511e61298 / 4342498CypJanuary 27, 2015 18:22:42 UTC 2015 年 1 月 28 日 (水) 3 時 22 分 42 秒 (日本時間)
800Dmitry DomanovMarch 5, 2022 21:37:07 UTC 2022 年 3 月 6 日 (日) 6 時 37 分 7 秒 (日本時間)

115×10233-13

c185

composite cofactor 合成数の残り
17433042461558756691204987378031711199419966479404089548390603768910710389489644056579029062188224171577820933257851699848473893520331642686449133315979791966293365521474924956086708633<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 21:24:08 UTC 2014 年 12 月 21 日 (日) 6 時 24 分 8 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:08:10 UTC 2014 年 12 月 21 日 (日) 8 時 8 分 10 秒 (日本時間)
4511e61298 / 4342498CypJune 26, 2015 06:18:36 UTC 2015 年 6 月 26 日 (金) 15 時 18 分 36 秒 (日本時間)
800Dmitry DomanovMarch 5, 2022 21:36:38 UTC 2022 年 3 月 6 日 (日) 6 時 36 分 38 秒 (日本時間)

115×10235-13

c233

composite cofactor 合成数の残り
25304200497282548903117917574317336677888529495896318788918960547450876845556362356151121086100292648579664224261227363742381235285057319515039496556428367108940084053952956190727660791691420775848790899289282020815455365590688054217<233>

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 18:02:49 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 49 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)
4511e61000 / 3916Serge BatalovDecember 21, 2014 10:24:53 UTC 2014 年 12 月 21 日 (日) 19 時 24 分 53 秒 (日本時間)

115×10237-13

c237

composite cofactor 合成数の残り
115810674723061430010070493454179254783484390735146022155085599194360523665659617321248741188318227593152064451158106747230614300100704934541792547834843907351460221550855991943605236656596173212487411883182275931520644511581067472306143<237>

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 18:02:51 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 51 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:03:05 UTC 2014 年 12 月 20 日 (土) 10 時 3 分 5 秒 (日本時間)
4511e61000 / 3916Serge BatalovDecember 21, 2014 10:24:56 UTC 2014 年 12 月 21 日 (日) 19 時 24 分 56 秒 (日本時間)

115×10238-13

c229

composite cofactor 合成数の残り
1818012573021884330627194441473612577443860657547997209309173842478736089346171343579798966991894723169961283727601031232075514848774362527582050689475507510969875522889559730689785719138211505139560952912368373155718720842976039<229>

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 21:24:09 UTC 2014 年 12 月 21 日 (日) 6 時 24 分 9 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:08:11 UTC 2014 年 12 月 21 日 (日) 8 時 8 分 11 秒 (日本時間)
4511e6498 / 4342163CypDecember 29, 2014 09:41:21 UTC 2014 年 12 月 29 日 (月) 18 時 41 分 21 秒 (日本時間)
335CypJune 9, 2015 05:25:10 UTC 2015 年 6 月 9 日 (火) 14 時 25 分 10 秒 (日本時間)

115×10239-13

c237

name 名前Serge Batalov
date 日付December 19, 2014 18:13:11 UTC 2014 年 12 月 20 日 (土) 3 時 13 分 11 秒 (日本時間)
composite number 合成数
323460748741315782071836413242201783253171321688746378645965178747222456614069136219165752538463702078586898433324895226844429443366241948640058504204989733637105166933873372148623182291227181953702922397547323713891935982898770849154783<237>
prime factors 素因数
43027529817436059032642416454218597<35>
23863226189881462654256100887869367923<38>
315025721944859299177882749679138755971078953082837276764892577723601029217226283092281697543212719710168154589092523102489889115220694392198378404390407082975812993<165>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=1459331155
Step 1 took 6983ms
Step 2 took 3846ms
********** Factor found in step 2: 23863226189881462654256100887869367923
Found probable prime factor of 38 digits: 23863226189881462654256100887869367923
Composite cofactor

Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=259403023
Step 1 took 6993ms
Step 2 took 3857ms
********** Factor found in step 2: 43027529817436059032642416454218597
Found probable prime factor of 35 digits: 43027529817436059032642416454218597
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:52 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 52 秒 (日本時間)

115×10240-13

c220

composite cofactor 合成数の残り
3118588264922328328577415495147094406650366941110203156465218043194638894776733003389433585785988891136639502222989301951838270240505588933545109030562783307638599198015041901829294148900566287181640788250146345290206723<220>

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 21:24:09 UTC 2014 年 12 月 21 日 (日) 6 時 24 分 9 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:08:11 UTC 2014 年 12 月 21 日 (日) 8 時 8 分 11 秒 (日本時間)
4511e61298 / 4342498CypJuly 24, 2015 03:32:21 UTC 2015 年 7 月 24 日 (金) 12 時 32 分 21 秒 (日本時間)
800Dmitry DomanovMarch 6, 2022 07:34:20 UTC 2022 年 3 月 6 日 (日) 16 時 34 分 20 秒 (日本時間)

115×10241-13

c163

composite cofactor 合成数の残り
2595045996370208019076220013337887803079167213065148526138223064525118160460611381151026836620436179413353114611021333841912695366734540878627359054913082903087981<163>

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 18:02:02 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 2 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:22 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 22 秒 (日本時間)
4511e60--
5043e61200 / 7459600Serge BatalovJune 19, 2015 22:56:33 UTC 2015 年 6 月 20 日 (土) 7 時 56 分 33 秒 (日本時間)
600Serge BatalovJune 21, 2015 17:45:56 UTC 2015 年 6 月 22 日 (月) 2 時 45 分 56 秒 (日本時間)

115×10242-13

c173

composite cofactor 合成数の残り
29481549298259619745071526612038279485724667547054890185921513595921148715080558449609245650477285581160220243074780030888623833699623661995916392006963342400012500378500433<173>

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 21:24:09 UTC 2014 年 12 月 21 日 (日) 6 時 24 分 9 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:08:11 UTC 2014 年 12 月 21 日 (日) 8 時 8 分 11 秒 (日本時間)
4511e61298 / 4342498CypMay 20, 2015 21:03:52 UTC 2015 年 5 月 21 日 (木) 6 時 3 分 52 秒 (日本時間)
800Dmitry DomanovMarch 4, 2022 18:29:39 UTC 2022 年 3 月 5 日 (土) 3 時 29 分 39 秒 (日本時間)

115×10243-13

c178

composite cofactor 合成数の残り
1257003088267838701962942048183658599339144980193536630900703992778442749180132381675227911901209495124214228659201423735823748312314144444500888576562942940579506592884720196517<178>

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 21:24:10 UTC 2014 年 12 月 21 日 (日) 6 時 24 分 10 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:08:12 UTC 2014 年 12 月 21 日 (日) 8 時 8 分 12 秒 (日本時間)
4511e61298 / 4342498CypJune 13, 2015 08:57:43 UTC 2015 年 6 月 13 日 (土) 17 時 57 分 43 秒 (日本時間)
800Dmitry DomanovMarch 4, 2022 18:29:52 UTC 2022 年 3 月 5 日 (土) 3 時 29 分 52 秒 (日本時間)

115×10245-13

c231

composite cofactor 合成数の残り
134227077369961840277987064657128241806083892647441225242510119003645260185506474125773022141661090599405223618896902008981449775863400608623409332421121422304764781390487943700019767797479025241312811020774982980891252212332744763<231>

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 21:24:10 UTC 2014 年 12 月 21 日 (日) 6 時 24 分 10 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:08:12 UTC 2014 年 12 月 21 日 (日) 8 時 8 分 12 秒 (日本時間)
4511e6498 / 4342CypJanuary 29, 2015 05:57:50 UTC 2015 年 1 月 29 日 (木) 14 時 57 分 50 秒 (日本時間)

115×10246-13

c187

name 名前Dmitry Domanov
date 日付March 6, 2022 19:08:04 UTC 2022 年 3 月 7 日 (月) 4 時 8 分 4 秒 (日本時間)
composite number 合成数
1702082612955708090133392051224344390092168710028735609227024806969894464389245606287089913350784229252468484672444508376991203614620836728707693450132215593485328207750146278220254129651<187>
prime factors 素因数
28656654833974977541689119491752320854787<41>
59395718824017794184927188878961959242679575417368878628221661738315887118492359598248117723469256942423591945025517109710076672268188598860334673<146>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3622760060
Step 1 took 62774ms
********** Factor found in step 1: 28656654833974977541689119491752320854787
Found prime factor of 41 digits: 28656654833974977541689119491752320854787
Prime cofactor 59395718824017794184927188878961959242679575417368878628221661738315887118492359598248117723469256942423591945025517109710076672268188598860334673 has 146 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:24:11 UTC 2014 年 12 月 21 日 (日) 6 時 24 分 11 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:08:13 UTC 2014 年 12 月 21 日 (日) 8 時 8 分 13 秒 (日本時間)
4511e61298 / 4342498CypMay 21, 2015 04:15:41 UTC 2015 年 5 月 21 日 (木) 13 時 15 分 41 秒 (日本時間)
800Dmitry DomanovMarch 5, 2022 21:36:39 UTC 2022 年 3 月 6 日 (日) 6 時 36 分 39 秒 (日本時間)

115×10247-13

c228

name 名前Cyp
date 日付February 4, 2015 15:32:36 UTC 2015 年 2 月 5 日 (木) 0 時 32 分 36 秒 (日本時間)
composite number 合成数
104364360769712744777589474500796146660323074113214685619363782047763031171850970790082747081448677423474162804166252365676842599902204589396217549956698837054778699755785530990016081472077749496242770412693041540976479106005751<228>
prime factors 素因数
625189868131865873316902101262673343573<39>
166932265043841170923798127935522636555280781505319457748014797643477947565391556335410423810190935948755570002746967055574722564914641401742181171349009073878685060012512829288236845391387<189>
factorization results 素因数分解の結果
Run 211 out of 498:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3476048734
Step 1 took 81227ms
Step 2 took 23622ms
********** Factor found in step 2: 625189868131865873316902101262673343573
Found probable prime factor of 39 digits: 625189868131865873316902101262673343573
Probable prime cofactor 166932265043841170923798127935522636555280781505319457748014797643477947565391556335410423810190935948755570002746967055574722564914641401742181171349009073878685060012512829288236845391387 has 189 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 1590300Serge BatalovDecember 20, 2014 21:24:11 UTC 2014 年 12 月 21 日 (日) 6 時 24 分 11 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:08:13 UTC 2014 年 12 月 21 日 (日) 8 時 8 分 13 秒 (日本時間)
4511e6211 / 4342CypFebruary 4, 2015 15:32:35 UTC 2015 年 2 月 5 日 (木) 0 時 32 分 35 秒 (日本時間)

115×10248-13

c239

composite cofactor 合成数の残り
47785534812799370952203690799834775715960557408177768563877883964746494293789947461744940014242001377343670065717564815418992378460414985105305372768390531888154295365434300680431021348303655188741585352881208931743806620597124287576336321<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)
403e6600300Serge BatalovDecember 20, 2014 21:24:12 UTC 2014 年 12 月 21 日 (日) 6 時 24 分 12 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:08:13 UTC 2014 年 12 月 21 日 (日) 8 時 8 分 13 秒 (日本時間)
4511e6498 / 4342242CypDecember 29, 2014 04:11:56 UTC 2014 年 12 月 29 日 (月) 13 時 11 分 56 秒 (日本時間)
256CypJune 8, 2015 14:29:10 UTC 2015 年 6 月 8 日 (月) 23 時 29 分 10 秒 (日本時間)

115×10251-13

c233

composite cofactor 合成数の残り
13473009962805724373377325083089939567804627196691846486716911897956977810242792842848964990686325050599873382504347359543297317718911823843393282114031849700865156687283355328548733459487197562425369327103899382631648365141601493027<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e62880Youcef LemsaferMarch 10, 2024 13:53:18 UTC 2024 年 3 月 10 日 (日) 22 時 53 分 18 秒 (日本時間)
5043e60--
5511e76567 / 17569Youcef LemsaferMarch 10, 2024 13:53:18 UTC 2024 年 3 月 10 日 (日) 22 時 53 分 18 秒 (日本時間)

115×10252-13

c242

composite cofactor 合成数の残り
44555101595552088873730226798210535182735886296308174747940892977527701460204394221537429443304937856380416072234131227751589771459800432762233183961716624036608005821525648568762042557868407035114840735950226398715414864911662994358862523517<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e62880Youcef LemsaferMarch 19, 2024 08:48:32 UTC 2024 年 3 月 19 日 (火) 17 時 48 分 32 秒 (日本時間)
5043e60--
5511e77200 / 17569Youcef LemsaferMarch 19, 2024 08:48:32 UTC 2024 年 3 月 19 日 (火) 17 時 48 分 32 秒 (日本時間)

115×10253-13

c250

composite cofactor 合成数の残り
3109679757066409239264168647397468450270812545800174682880266513075527361125758153445119560426485818508273100188473633971764107805837004107481348681630986471541022084134413879447180061274211560978115966718314391327508767944880250288659403536381901123<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e63928ebinaMay 20, 2024 03:51:31 UTC 2024 年 5 月 20 日 (月) 12 時 51 分 31 秒 (日本時間)

115×10255-13

c201

composite cofactor 合成数の残り
887137900491235840849065892308516740048703836176891593119058280523419474894061733990255053187486993007700698816326368197211940853844126520517135417024751097145925239815395080140294447913579802858802017<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e64100900Dmitry DomanovMarch 6, 2022 07:35:33 UTC 2022 年 3 月 6 日 (日) 16 時 35 分 33 秒 (日本時間)
3200ebinaMay 21, 2024 14:22:50 UTC 2024 年 5 月 21 日 (火) 23 時 22 分 50 秒 (日本時間)

115×10256-13

c174

composite cofactor 合成数の残り
540440143891786996571635651962682153760912673135269973408719805198051836879601777462353402303548524103348611720182980740864722983661906548455084432334758693687652585146486953<174>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e62000Dmitry DomanovDecember 22, 2018 06:07:00 UTC 2018 年 12 月 22 日 (土) 15 時 7 分 0 秒 (日本時間)
5043e62342 / 7010550Dmitry DomanovJanuary 6, 2019 10:04:49 UTC 2019 年 1 月 6 日 (日) 19 時 4 分 49 秒 (日本時間)
1792Dmitry DomanovMay 24, 2024 18:45:19 UTC 2024 年 5 月 25 日 (土) 3 時 45 分 19 秒 (日本時間)

115×10257-13

c237

composite cofactor 合成数の残り
100321569588342236411723489485937460447156013931480856289427730556684967236661527818623438356807403657321647465885680604503950286383441917793746237456702494562403715351147687916626051105033764309019405718918901996616083712694903219331549<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e64000ebinaJuly 7, 2024 22:38:31 UTC 2024 年 7 月 8 日 (月) 7 時 38 分 31 秒 (日本時間)

115×10258-13

c196

composite cofactor 合成数の残り
1212379349894522856335191038779573650115992564657916185816335517506805110215506471049756216972625278141000887725832153495440740750562221489259639324995858667049647393817898416913739375628924180913<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e6900 / 3928Dmitry DomanovMarch 5, 2022 21:36:55 UTC 2022 年 3 月 6 日 (日) 6 時 36 分 55 秒 (日本時間)

115×10259-13

c250

composite cofactor 合成数の残り
2184082591602808003142721839587949717045981692916016943814016333716324140861835868016106767166324466422801294246200225883634321979672862563265358413797022898897056652158208774471127195261936335866978797631509360049580630399960195218596025756754099377<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

115×10261-13

c183

composite cofactor 合成数の残り
755383969329232686270538483529205487514018216808498412675586157195707435165340241086920996916164955727940932417887658344325907042603846863426645087465233152107496130082390121465281603<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e6900 / 3928Dmitry DomanovMarch 5, 2022 21:37:26 UTC 2022 年 3 月 6 日 (日) 6 時 37 分 26 秒 (日本時間)

115×10262-13

c204

name 名前Youcef Lemsafer
date 日付May 31, 2024 21:24:11 UTC 2024 年 6 月 1 日 (土) 6 時 24 分 11 秒 (日本時間)
composite number 合成数
413796429780054432341104781826872330248259900557083781620069358336521739460361720038576576165735062542365265248821558534517388712628660877603585815552693001328296090276653423245769799314264903496377543947<204>
prime factors 素因数
12429625514637955947830076022508609235750000153252971<53>
53422305713406342334751540007515030867947227606255741689<56>
623169324076529939323028921141797330026218461254425343403716027135802368306431547954048796086313<96>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is (115*10^262-1)/(3*2243*5101*3202752850769478448201*25280276682841943613953566104673) (204 digits)
[Fri May 24 12:48:52 2024]
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=0:12549453733595730469
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35       40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+07 3.6e+08
Step 1 took 686161ms
Using 25 small primes for NTT
Estimated memory usage: 565.67MB
Initializing tables of differences for F took 440ms
Computing roots of F took 21072ms
Building F from its roots took 7413ms
Computing 1/F took 3281ms
Initializing table of differences for G took 372ms
Computing roots of G took 17681ms
Building G from its roots took 8556ms
Computing roots of G took 17678ms
Building G from its roots took 8544ms
Computing G * H took 1688ms
Reducing  G * H mod F took 1790ms
Computing roots of G took 17677ms
Building G from its roots took 8559ms
Computing G * H took 1688ms
Reducing  G * H mod F took 1799ms
Computing roots of G took 17681ms
Building G from its roots took 8560ms
Computing G * H took 1683ms
Reducing  G * H mod F took 1794ms
Computing polyeval(F,G) took 14898ms
Computing product of all F(g_i) took 88ms
Step 2 took 163359ms
********** Factor found in step 2: 12429625514637955947830076022508609235750000153252971
Found prime factor of 53 digits: 12429625514637955947830076022508609235750000153252971
Composite cofactor ((115*10^262-1)/(3*2243*5101*3202752850769478448201*25280276682841943613953566104673))/12429625514637955947830076022508609235750000153252971 has 152 digits

2024-05-26 21:51:15,417 Info:root: Command line parameters: ./bin/cado-nfs.py --slaves 6 --client-threads 2 --server-threads 6 --parameters params/params.c155 workdir=$MATHS/faktorisierung/cado-nfs/38333_262 name=38333_262_C152 33291142142033173904802987535042675955705817921290303842595155462713870244495634115232647779856889717675841379458628431845105703984044365856208276402657
2024-05-26 21:51:15,418 Debug:root: Root parameter dictionary:
N = 33291142142033173904802987535042675955705817921290303842595155462713870244495634115232647779856889717675841379458628431845105703984044365856208276402657
name = 38333_262_C152
slaves.basepath = $MATHS/faktorisierung/cado-nfs/38333_262/client
slaves.hostnames = localhost
slaves.nrclients = 6
slaves.scriptpath = $MATHS/tools/cado-nfs_install_gcc-11.2.0/bin
tasks.I = 14
tasks.execpath = ./lib/cado-nfs-3.0.0
tasks.lim0 = 22000000
tasks.lim1 = 36000000
tasks.lpb0 = 31
tasks.lpb1 = 32
tasks.qmin = 150000
tasks.threads = 6
tasks.workdir = $MATHS/faktorisierung/cado-nfs/38333_262
tasks.filter.target_density = 135.0
tasks.filter.purge.keep = 180
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.bwc.cpubinding = $MATHS/tools/cado-nfs_install_gcc-11.2.0/share/cado-nfs-3.0.0/misc/cpubinding.conf
tasks.linalg.bwc.interleaving = 0
tasks.linalg.bwc.interval = 3000
tasks.linalg.characters.nchar = 50
tasks.polyselect.P = 500000
tasks.polyselect.admax = 45e4
tasks.polyselect.admin = 1680
tasks.polyselect.adrange = 1680
tasks.polyselect.degree = 5
tasks.polyselect.incr = 120
tasks.polyselect.nq = 15625
tasks.polyselect.nrkeep = 70
tasks.polyselect.ropteffort = 20
tasks.polyselect.threads = 2
tasks.sieve.lambda0 = 1.82
tasks.sieve.lambda1 = 1.795
tasks.sieve.mfb0 = 58
tasks.sieve.mfb1 = 60
tasks.sieve.ncurves0 = 21
tasks.sieve.ncurves1 = 24
tasks.sieve.qrange = 10000
tasks.sieve.rels_wanted = 180000000
tasks.sieve.las.threads = 2
2024-05-26 21:51:20,639 Info:Polynomial Selection (size optimized): Starting
2024-05-27 03:02:14,266 Info:Polynomial Selection (root optimized): Best polynomial is:
n: 33291142142033173904802987535042675955705817921290303842595155462713870244495634115232647779856889717675841379458628431845105703984044365856208276402657
skew: 458001.898
c0: 22743949498379366421873751760048175
c1: -552662993262287939961529816280
c2: -1107238988326553752117596
c3: 4406431414061589977
c4: 927571863540
c5: -4021920
Y0: -186038867543828598070322543788
Y1: 69073101727904591154389
# MurphyE (Bf=4.295e+09,Bg=2.147e+09,area=2.013e+13) = 2.677e-06
# f(x) = -4021920*x^5+927571863540*x^4+4406431414061589977*x^3-1107238988326553752117596*x^2-552662993262287939961529816280*x+22743949498379366421873751760048175
# g(x) = 69073101727904591154389*x-186038867543828598070322543788
2024-05-27 03:02:14,266 Info:Polynomial Selection (root optimized): Best overall polynomial was 2-th in list after size optimization
2024-05-27 03:02:14,278 Info:Polynomial Selection (root optimized): Aggregate statistics:
2024-05-27 03:02:14,279 Info:Polynomial Selection (root optimized): Total time: 12351.4
2024-05-27 03:02:14,279 Info:Polynomial Selection (root optimized): Rootsieve time: 12350.4
.... interrupted because of error...
2024-05-27 21:15:14,048 Info:Generate Factor Base: Starting
2024-05-27 21:15:21,089 Info:Generate Factor Base: Finished
2024-05-27 21:15:21,089 Info:Generate Factor Base: Total cpu/real time for makefb: 33.88/6.97939
2024-05-27 21:15:21,090 Info:Generate Free Relations: Starting
2024-05-27 21:24:31,804 Info:Generate Free Relations: Found 875676 free relations
2024-05-27 21:24:31,805 Info:Generate Free Relations: Finished
2024-05-27 21:24:31,805 Info:Generate Free Relations: Total cpu/real time for freerel: 3354.26/550.572
2024-05-27 21:24:31,805 Info:Lattice Sieving: Starting
2024-05-27 21:24:31,806 Info:Lattice Sieving: We want 180000000 relation(s)
2024-05-31 11:38:11,821 Info:Lattice Sieving: Reached target of 180000000 relations, now have 180014134
2024-05-31 11:38:11,821 Info:Lattice Sieving: Aggregate statistics:
2024-05-31 11:38:11,821 Info:Lattice Sieving: Total number of relations: 180014134
2024-05-31 11:38:11,822 Info:Lattice Sieving: Average J: 7810.94 for 1049007 special-q, max bucket fill -bkmult 1.0,1s:1.084570
2024-05-31 11:38:11,822 Info:Lattice Sieving: Total time: 1.85505e+06s
2024-05-31 11:38:11,822 Info:Filtering - Duplicate Removal, splitting pass: Starting
2024-05-31 12:13:45,991 Info:Filtering - Duplicate Removal, removal pass: 52096073 unique relations remain on slice 1
2024-05-31 12:13:46,005 Info:Filtering - Duplicate Removal, removal pass: Of 180014134 newly added relations 104186638 were unique (ratio 0.578769)
2024-05-31 12:13:46,015 Info:Filtering - Duplicate Removal, removal pass: 104186638 unique relations remain in total
2024-05-31 12:13:46,016 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 2741.14/1346.45
2024-05-31 12:13:46,016 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
2024-05-31 12:13:46,016 Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 1178.6s
2024-05-31 12:13:46,018 Info:Filtering - Singleton removal: Starting
2024-05-31 12:13:46,056 Info:Filtering - Singleton removal: Reading 104186638 unique and 875676 free relations, total 105062314
2024-05-31 12:20:44,784 Info:Filtering - Singleton removal: After purge, 16026972 relations with 16026792 primes remain with weight 353910243 and excess 180
2024-05-31 12:20:44,789 Info:Filtering - Singleton removal: Have enough relations
2024-05-31 12:20:44,883 Info:Filtering - Singleton removal: Total cpu/real time for purge: 840.96/418.672
2024-05-31 12:20:44,883 Info:Filtering - Merging: Starting
2024-05-31 12:22:11,649 Info:Filtering - Merging: Merged matrix has 3486130 rows and total weight 476413742 (136.7 entries per row on average)
2024-05-31 12:23:42,811 Info:Filtering - Merging: Total cpu/real time for merge: 361.04/86.6915
2024-05-31 12:23:42,812 Info:Filtering - Merging: Total cpu/real time for replay: 116.54/88.5889
2024-05-31 12:23:42,812 Info:Linear Algebra: Starting
2024-05-31 12:48:18,519 Info:Linear Algebra: krylov: N=3000 ; ETA (N=111000): Fri May 31 18:37:52 2024 [0.194 s/iter]
2024-05-31 12:58:00,388 Info:Linear Algebra: krylov: N=6000 ; ETA (N=111000): Fri May 31 18:37:38 2024 [0.194 s/iter]
...
2024-05-31 18:38:25,101 Info:Linear Algebra: krylov: N=111000 ; ETA (N=111000): Fri May 31 18:38:25 2024 [0.194 s/iter]
2024-05-31 18:38:25,843 Info:Linear Algebra: lingen ETA: not available yet
2024-05-31 18:40:04,309 Info:Linear Algebra: lingen ETA: Fri May 31 18:40:09 2024
2024-05-31 18:50:37,760 Info:Linear Algebra: mksol: N=3000 ; ETA (N=57000): Fri May 31 21:59:54 2024 [0.210 s/iter]
2024-05-31 19:01:03,337 Info:Linear Algebra: mksol: N=6000 ; ETA (N=57000): Fri May 31 21:59:03 2024 [0.209 s/iter]
...
2024-05-31 21:55:27,344 Info:Linear Algebra: mksol: N=51413 ; ETA (N=57000): Fri May 31 22:16:40 2024 [0.228 s/iter]
2024-05-31 21:55:30,027 Info:Linear Algebra: Total cpu/real time for bwc: 185910/34305.8
2024-05-31 21:55:30,027 Info:Linear Algebra: Aggregate statistics:
2024-05-31 21:55:30,027 Info:Linear Algebra: Krylov: CPU time 117692.93, WCT time 21591.09, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.02, comm-wait 0.0 (111000 iterations)
2024-05-31 21:55:30,028 Info:Linear Algebra: Lingen CPU time 1158.08, WCT time 99.69
2024-05-31 21:55:30,028 Info:Linear Algebra: Mksol: CPU time 62360.47,  WCT time 11722.43, iteration CPU time 0.19, COMM 0.01, cpu-wait 0.02, comm-wait 0.0 (54000 iterations)
2024-05-31 21:55:30,028 Info:Quadratic Characters: Starting
2024-05-31 21:56:10,301 Info:Quadratic Characters: Total cpu/real time for characters: 131.03/40.189
2024-05-31 21:56:10,302 Info:Square Root: Starting
2024-05-31 21:56:10,330 Info:Square Root: Creating file of (a,b) values
2024-05-31 22:05:52,226 Info:Square Root: finished
2024-05-31 22:05:52,226 Info:Square Root: Factors: 53422305713406342334751540007515030867947227606255741689 623169324076529939323028921141797330026218461254425343403716027135802368306431547954048796086313
2024-05-31 22:05:52,226 Info:Square Root: Total cpu/real time for sqrt: 6175.72/581.767
2024-05-31 22:05:52,227 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 2741.14/1346.45
2024-05-31 22:05:52,227 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
2024-05-31 22:05:52,227 Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 1178.6s
2024-05-31 22:05:52,227 Info:Linear Algebra: Total cpu/real time for bwc: 185910/34305.8
2024-05-31 22:05:52,227 Info:Linear Algebra: Aggregate statistics:
2024-05-31 22:05:52,228 Info:Linear Algebra: Krylov: CPU time 117692.93, WCT time 21591.09, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.02, comm-wait 0.0 (111000 iterations)
2024-05-31 22:05:52,228 Info:Linear Algebra: Lingen CPU time 1158.08, WCT time 99.69
2024-05-31 22:05:52,228 Info:Linear Algebra: Mksol: CPU time 62360.47,  WCT time 11722.43, iteration CPU time 0.19, COMM 0.01, cpu-wait 0.02, comm-wait 0.0 (54000 iterations)
2024-05-31 22:05:52,228 Info:Lattice Sieving: Aggregate statistics:
2024-05-31 22:05:52,228 Info:Lattice Sieving: Total number of relations: 180014134
2024-05-31 22:05:52,228 Info:Lattice Sieving: Average J: 7810.94 for 1049007 special-q, max bucket fill -bkmult 1.0,1s:1.084570
2024-05-31 22:05:52,228 Info:Lattice Sieving: Total time: 1.85505e+06s
2024-05-31 22:05:52,229 Info:Filtering - Merging: Total cpu/real time for merge: 361.04/86.6915
2024-05-31 22:05:52,229 Info:Filtering - Merging: Total cpu/real time for replay: 116.54/88.5889
2024-05-31 22:05:52,229 Info:Filtering - Singleton removal: Total cpu/real time for purge: 840.96/418.672
2024-05-31 22:05:52,229 Info:Square Root: Total cpu/real time for sqrt: 6175.72/581.767
2024-05-31 22:05:52,229 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 1140.12/787.329
2024-05-31 22:05:52,229 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
2024-05-31 22:05:52,230 Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 787.2s
2024-05-31 22:05:52,230 Info:Polynomial Selection (root optimized): Aggregate statistics:
2024-05-31 22:05:52,230 Info:Polynomial Selection (root optimized): Total time: 12351.4
2024-05-31 22:05:52,230 Info:Polynomial Selection (root optimized): Rootsieve time: 12350.4
2024-05-31 22:05:52,230 Info:Generate Free Relations: Total cpu/real time for freerel: 3354.26/550.572
2024-05-31 22:05:52,230 Info:Quadratic Characters: Total cpu/real time for characters: 131.03/40.189
2024-05-31 22:05:52,231 Info:Polynomial Selection (size optimized): Aggregate statistics:
2024-05-31 22:05:52,231 Info:Polynomial Selection (size optimized): potential collisions: 159501
2024-05-31 22:05:52,231 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 161955/45.790/55.155/61.920/1.114
2024-05-31 22:05:52,231 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 134309/43.410/49.011/55.580/1.055
2024-05-31 22:05:52,231 Info:Polynomial Selection (size optimized): Total time: 193295
2024-05-31 22:05:52,231 Info:Generate Factor Base: Total cpu/real time for makefb: 33.88/6.97939
2024-05-31 22:05:52,232 Info:HTTP server: Shutting down HTTP server
2024-05-31 22:05:52,660 Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3.8744e+06/348639
software ソフトウェア
GMP-ECM 7.0.4 for P53, CADO-NFS-3.0.0 for P56xP96
execution environment 実行環境
Intel Core i7-5820K CPU @ 3.30GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e63780900Dmitry DomanovMarch 6, 2022 07:35:45 UTC 2022 年 3 月 6 日 (日) 16 時 35 分 45 秒 (日本時間)
2880Youcef LemsaferMay 31, 2024 20:50:55 UTC 2024 年 6 月 1 日 (土) 5 時 50 分 55 秒 (日本時間)
5043e60--
5511e73200 / 17513Youcef LemsaferMay 31, 2024 20:50:55 UTC 2024 年 6 月 1 日 (土) 5 時 50 分 55 秒 (日本時間)

115×10263-13

c227

name 名前Youcef Lemsafer
date 日付May 23, 2024 19:28:38 UTC 2024 年 5 月 24 日 (金) 4 時 28 分 38 秒 (日本時間)
composite number 合成数
11866414191166113422393333653449798687337588246302443764076268894209777857427060609019598452424350430813057066856119998883892342828315016732232405344351831464319000999800433792599561550666692936116064451004964581357281134308957<227>
prime factors 素因数
45204433132179369919187026833394693545334982339<47>
262505541358483500176495825411946174870572773080685045353642109266253411321332945392646828750855569430601246865435948356341660800618940561099015757967145300650880325778561519674463<180>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is (115*10^263-1)/(3*7^2*56299*2554321046201*45844246594797580819) (227 digits)
[Thu May 23 09:20:31 2024]
Using MODMULN [mulredc:0, sqrredc:1]
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=0:15686876058380757437
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 80594ms
********** Factor found in step 1: 45204433132179369919187026833394693545334982339
Found prime factor of 47 digits: 45204433132179369919187026833394693545334982339
Prime cofactor ((115*10^263-1)/(3*7^2*56299*2554321046201*45844246594797580819))/45204433132179369919187026833394693545334982339 has 180 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e6493 / 3928Youcef LemsaferMay 23, 2024 19:27:57 UTC 2024 年 5 月 24 日 (金) 4 時 27 分 57 秒 (日本時間)

115×10264-13

c215

composite cofactor 合成数の残り
82890282340517585211493532614440755768473677938580375757737580344929750713557096606910227175763165576254278043755636967532535309593860697742364107018857269505753232180070290466751361286793522939604881714383887144151<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e63780900Dmitry DomanovMarch 6, 2022 07:35:21 UTC 2022 年 3 月 6 日 (日) 16 時 35 分 21 秒 (日本時間)
2880Youcef LemsaferMay 23, 2024 06:03:45 UTC 2024 年 5 月 23 日 (木) 15 時 3 分 45 秒 (日本時間)
5043e60--
5511e77200 / 17513Youcef LemsaferMay 23, 2024 06:03:45 UTC 2024 年 5 月 23 日 (木) 15 時 3 分 45 秒 (日本時間)

115×10265-13

c235

name 名前Youcef Lemsafer
date 日付April 27, 2024 20:46:36 UTC 2024 年 4 月 28 日 (日) 5 時 46 分 36 秒 (日本時間)
composite number 合成数
6309278291035746517962270852563072777689493621659990128136849336760232473918710386938563046881629043790306237803142717711953976674885658606089991458029942804271331183917605180206260241490385620829330853604644602790925897401624224816117<235>
prime factors 素因数
73091637584583309054054489742062519262499451714727<50>
composite cofactor 合成数の残り
86320111295009717995661051468485920775572137318505297030042324901273663850342210200032649208664363133315819789498575398083181583581292064787943733937616468717264561868872268904829741571<185>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is (115*10^265-1)/(3*17035699*3566456602854951746829851) (235 digits)
[Wed Apr 24 11:03:51 2024]
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=0:8569264040796779511
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35       40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+07 3.6e+08
Step 1 took 634047ms
********** Factor found in step 1: 73091637584583309054054489742062519262499451714727
Found prime factor of 50 digits: 73091637584583309054054489742062519262499451714727
Composite cofactor ((115*10^265-1)/(3*17035699*3566456602854951746829851))/73091637584583309054054489742062519262499451714727 has 185 digits
execution environment 実行環境
Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e62880Youcef LemsaferApril 27, 2024 20:44:18 UTC 2024 年 4 月 28 日 (日) 5 時 44 分 18 秒 (日本時間)
5043e60--
5511e77200 / 17569Youcef LemsaferApril 27, 2024 20:44:18 UTC 2024 年 4 月 28 日 (日) 5 時 44 分 18 秒 (日本時間)

115×10267-13

c255

composite cofactor 合成数の残り
198424022685577667005068043278156747298968318806899247608604813607355862056698511557699020403746519504773065919321985123642772033112685398232134971707508123346628236313123594906503984033795504361628661487477237051149771672787428757750661781594671231962779<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e62880Youcef LemsaferApril 20, 2024 23:22:37 UTC 2024 年 4 月 21 日 (日) 8 時 22 分 37 秒 (日本時間)
5043e60--
5511e77200 / 17569Youcef LemsaferApril 20, 2024 23:22:37 UTC 2024 年 4 月 21 日 (日) 8 時 22 分 37 秒 (日本時間)

115×10268-13

c177

composite cofactor 合成数の残り
267835662548494766847787501577787066805972353107507140429417934982568327537484875131948157828729081795102711301277042112535690543904320033687352651519733832418956654912029362061<177>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e62000Dmitry DomanovDecember 22, 2018 20:03:44 UTC 2018 年 12 月 23 日 (日) 5 時 3 分 44 秒 (日本時間)
5043e62342 / 7010550Dmitry DomanovJanuary 4, 2019 00:18:04 UTC 2019 年 1 月 4 日 (金) 9 時 18 分 4 秒 (日本時間)
1792Dmitry DomanovMay 8, 2024 16:14:32 UTC 2024 年 5 月 9 日 (木) 1 時 14 分 32 秒 (日本時間)

115×10270-13

c157

composite cofactor 合成数の残り
5064919984187045395918901975114904252628557718767843906095222402225036371973226638277043948379559305632026015810756414292786398638402023224181550389488293611<157>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e650001000Dmitry DomanovApril 28, 2019 16:46:40 UTC 2019 年 4 月 29 日 (月) 1 時 46 分 40 秒 (日本時間)
4000Robert BalfourApril 12, 2020 11:28:51 UTC 2020 年 4 月 12 日 (日) 20 時 28 分 51 秒 (日本時間)

115×10271-13

c250

composite cofactor 合成数の残り
1130546122514104627383230188567299312817427147553590015235259415347823422475865018527100627419932986753851199536648684768050499794011158086383005177762228398954757394186287647369789948108173904632630574374121718242016621993533693444998168606333449389<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e62880Youcef LemsaferJanuary 25, 2024 21:32:25 UTC 2024 年 1 月 26 日 (金) 6 時 32 分 25 秒 (日本時間)
5043e60--
5511e74096 / 17569Youcef LemsaferJanuary 25, 2024 21:32:25 UTC 2024 年 1 月 26 日 (金) 6 時 32 分 25 秒 (日本時間)

115×10272-13

c234

composite cofactor 合成数の残り
351947290713517883566573243095341471007847826118884841524114213173617084201539027298418975277053473990303103203796997048992716659364672417838402752741977046346798178879543258420784243850271350783280693480758711248044472904354328082881<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e62880Youcef LemsaferFebruary 4, 2024 14:59:32 UTC 2024 年 2 月 4 日 (日) 23 時 59 分 32 秒 (日本時間)
5043e60--
5511e74096 / 17569Youcef LemsaferFebruary 4, 2024 14:59:32 UTC 2024 年 2 月 4 日 (日) 23 時 59 分 32 秒 (日本時間)

115×10273-13

c239

composite cofactor 合成数の残り
12169507480470548289562562775322146882175461360876094440735973877698192382586338991778367490788018722657612971061109022294557999496287435357992294205196609037142798876752348112205844891300642789326528708159194940520752957365889757012745929<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e62880Youcef LemsaferFebruary 9, 2024 08:29:05 UTC 2024 年 2 月 9 日 (金) 17 時 29 分 5 秒 (日本時間)
5043e60--
5511e74096 / 17569Youcef LemsaferFebruary 9, 2024 08:29:05 UTC 2024 年 2 月 9 日 (金) 17 時 29 分 5 秒 (日本時間)

115×10274-13

c258

name 名前Seth Troisi
date 日付January 7, 2024 10:15:00 UTC 2024 年 1 月 7 日 (日) 19 時 15 分 0 秒 (日本時間)
composite number 合成数
380431877341254339608272574616060758199734575435341301954550282831273732848020609106230069508242865908187358765014697371656128868178231756736742935585558174671342221381443084003362607668983166175670963207116045855553312107357045837527375433194551909556887461<258>
prime factors 素因数
33422101817056209563782936365107847762080301409<47>
11382643719525430412583123449530829321555139295963818924817523422222302433035312647478260457354750199384779353977959947293802781712455661461811361501103070523687886386150739640228390202199546681959498957765087429<212>
factorization results 素因数分解の結果
GMP-ECM 7.0.6-dev [configured with GMP 6.2.0, --enable-asm-redc, --enable-openmp] [ECM]
Running on four
Resuming P-1 residue saved by five@five with GMP-ECM 7.0.6-dev on Thu Nov 30 08:52:16 2023
Input number is 380431877341254339608272574616060758199734575435341301954550282831273732848020609106230069508242865908187358765014697371656128868178231756736742935585558174671342221381443084003362607668983166175670963207116045855553312107357045837527375433194551909556887461 (258 digits)
Using mpz_mod
Using lmax = 67108864 with NTT which takes about 24576MB of memory
Using B1=10000000000-10000000000, B2=13494038602573560, polynomial x^1
P = 198843645, l = 67108864, s_1 = 33177600, k = s_2 = 2, m_1 = 20
Probability of finding a factor of n digits (assuming one exists):
20     25      30      35      40      45      50      55      60      65
0.82    0.56    0.31    0.14    0.057   0.02    0.0066  0.002   0.00053 0.00014
Step 1 took 0ms
Computing F from factored S_1 took 564891ms (108369ms real)
Computing h using 7 threads took 81370ms (12826ms real)
Computing DCT-I of h (0) using 2147483647 threads took 156159ms (27618ms real)
Multi-point evaluation 1 of 2:
Computing g_i using 7 threads took 272219ms (43444ms real)
Computing g*h (A) using 2147483647 threads took 319931ms (52896ms real)
Computing gcd of coefficients and N using 7 threads took 69305ms (10415ms real)
Step 2 took 1467277ms (261339ms real)
********** Factor found in step 2: 33422101817056209563782936365107847762080301409
Found prime factor of 47 digits: 33422101817056209563782936365107847762080301409
Prime cofactor 11382643719525430412583123449530829321555139295963818924817523422222302433035312647478260457354750199384779353977959947293802781712455661461811361501103070523687886386150739640228390202199546681959498957765087429 has 212 digits
Peak memory usage: 25007MB
software ソフトウェア
GMP-ECM 7.0.6, ecm-db 0.1
execution environment 実行環境
1080 Ti for PM1 stage1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

115×10275-13

c241

name 名前Youcef Lemsafer
date 日付February 13, 2024 21:22:02 UTC 2024 年 2 月 14 日 (水) 6 時 22 分 2 秒 (日本時間)
composite number 合成数
2451069697902013142764104926126233485547825713200292384125637922473711160442524566024307099555310357632736260530493552192491747746966096820370157730935462610670542283324827725537799176771420848083026518915821432315008876328323939676045638279<241>
prime factors 素因数
56840862758421198349957649548395336981163888343701<50>
composite cofactor 合成数の残り
43121613201391414222069237518182779764531559601808325716638424925276101130739150319900514102311388482388395118672793027540611045466725939893186135448091528709977532226549109044571252133655979<191>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
Input number is (115*10^275-1)/(3*7*90469*67916157017*36362186598828638057) (241 digits)
[Sun Feb 11 17:58:57 2024]
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=0:4178218321974041402
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35 40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+07 3.6e+08
Step 1 took 868619ms
Using 29 small primes for NTT
Estimated memory usage: 653.77MB
Initializing tables of differences for F took 557ms
Computing roots of F took 24732ms
Building F from its roots took 9623ms
Computing 1/F took 4278ms
Initializing table of differences for G took 468ms
Computing roots of G took 20767ms
Building G from its roots took 10948ms
Computing roots of G took 20759ms
Building G from its roots took 10955ms
Computing G * H took 2187ms
Reducing  G * H mod F took 2325ms
Computing roots of G took 20756ms
Building G from its roots took 10966ms
Computing G * H took 2181ms
Reducing  G * H mod F took 2312ms
Computing roots of G took 20764ms
Building G from its roots took 10960ms
Computing G * H took 2200ms
Reducing  G * H mod F took 2309ms
Computing polyeval(F,G) took 19101ms
Computing product of all F(g_i) took 108ms
Step 2 took 199700ms
********** Factor found in step 2: 56840862758421198349957649548395336981163888343701
Found prime factor of 50 digits: 56840862758421198349957649548395336981163888343701
Composite cofactor ((115*10^275-1)/(3*7*90469*67916157017*36362186598828638057))/56840862758421198349957649548395336981163888343701 has 191 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e62880Youcef LemsaferFebruary 13, 2024 21:20:44 UTC 2024 年 2 月 14 日 (水) 6 時 20 分 44 秒 (日本時間)
5043e60--
5511e74096 / 17569Youcef LemsaferFebruary 13, 2024 21:20:44 UTC 2024 年 2 月 14 日 (水) 6 時 20 分 44 秒 (日本時間)

115×10276-13

c219

composite cofactor 合成数の残り
204679070399282580039387707212832993576151317414040507064234533637770207469659694291140412615069538406407969987886768758097720154367682098745668028685624163299474145389513727650194109890640360263516953635684490320520887<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e63780900Dmitry DomanovMarch 6, 2022 07:35:21 UTC 2022 年 3 月 6 日 (日) 16 時 35 分 21 秒 (日本時間)
2880Youcef LemsaferFebruary 18, 2024 14:54:47 UTC 2024 年 2 月 18 日 (日) 23 時 54 分 47 秒 (日本時間)
5043e60--
5511e74096 / 17513Youcef LemsaferFebruary 18, 2024 14:54:47 UTC 2024 年 2 月 18 日 (日) 23 時 54 分 47 秒 (日本時間)

115×10279-13

c276

composite cofactor 合成数の残り
194663511425055394464446825545946513237965139996919238340925210278910493717446759529625247349613973793213183628629416534210842588313756954988717979968278311268647494849880578167556194277569854577893334552096187472810585632478675881868024910158557661871173380865084644772946173<276>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e62880Youcef LemsaferMarch 2, 2024 13:36:29 UTC 2024 年 3 月 2 日 (土) 22 時 36 分 29 秒 (日本時間)
5043e60--
5511e74096 / 17569Youcef LemsaferMarch 2, 2024 13:36:29 UTC 2024 年 3 月 2 日 (土) 22 時 36 分 29 秒 (日本時間)

115×10282-13

c241

composite cofactor 合成数の残り
5072569938680111378489986778200417002184421374835064211640318420579800626593062224744853596416359112462686679920192703752689412578997902383964256611050208769534420157421375346404016118281458733291245750434262745547447191487997896452813528921<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e62700Youcef LemsaferNovember 1, 2023 00:12:21 UTC 2023 年 11 月 1 日 (水) 9 時 12 分 21 秒 (日本時間)
5043e60--
5511e73200 / 17581Youcef LemsaferNovember 1, 2023 00:12:21 UTC 2023 年 11 月 1 日 (水) 9 時 12 分 21 秒 (日本時間)

115×10283-13

c229

composite cofactor 合成数の残り
5124727900108001156952299884684840473823705189836062451803376181480938305295524615060632404792596045158124161884952408076892450705720718570098832765413503475068526416439260007617991430482109359903874792608134232470298084748742999<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e62700Youcef LemsaferNovember 4, 2023 18:41:48 UTC 2023 年 11 月 5 日 (日) 3 時 41 分 48 秒 (日本時間)
5043e60--
5511e73200 / 17581Youcef LemsaferNovember 4, 2023 18:41:48 UTC 2023 年 11 月 5 日 (日) 3 時 41 分 48 秒 (日本時間)

115×10284-13

c268

name 名前Youcef Lemsafer
date 日付November 5, 2023 23:07:10 UTC 2023 年 11 月 6 日 (月) 8 時 7 分 10 秒 (日本時間)
composite number 合成数
2560290502686784110305998869924792348794795748395161543124769438857572382138814349888977636336947067090192775233844930379219449650594689537016782103077237264769178501225181108153332959786626711148930483030963534883645543754978858918566867519151072760732174787415745107<268>
prime factors 素因数
10655256656103338426452585399447601167131947<44>
240284263938424038705697453757216941571926058182711884680024382360729955721885040553694776563488935442143112384765073724743967991720551153429004471535677579233299905193704872601139594910801487424757892278045621882159818044281<225>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
Input number is (115*10^284-1)/(3*113*13249787006282663) (268 digits)
[Sun Nov  5 21:23:52 2023]
Using MODMULN [mulredc:0, sqrredc:2]
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=0:14656063187791650856
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35   40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+07 3.6e+08
Step 1 took 976824ms
Using 32 small primes for NTT
Estimated memory usage: 704.82MB
Initializing tables of differences for F took 698ms
Computing roots of F took 27202ms
Building F from its roots took 11289ms
Computing 1/F took 4991ms
Initializing table of differences for G took 586ms
Computing roots of G took 24160ms
Building G from its roots took 12662ms
Computing roots of G took 23047ms
Building G from its roots took 12699ms
Computing G * H took 2505ms
Reducing  G * H mod F took 2665ms
Computing roots of G took 24103ms
Building G from its roots took 12654ms
Computing G * H took 2518ms
Reducing  G * H mod F took 2667ms
Computing roots of G took 24100ms
Building G from its roots took 12653ms
Computing G * H took 2517ms
Reducing  G * H mod F took 2672ms
Computing polyeval(F,G) took 21827ms
Computing product of all F(g_i) took 120ms
Step 2 took 228781ms
********** Factor found in step 2: 10655256656103338426452585399447601167131947
Found prime factor of 44 digits: 10655256656103338426452585399447601167131947
Prime cofactor ((115*10^284-1)/(3*113*13249787006282663))/10655256656103338426452585399447601167131947 has 225 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e62700Youcef LemsaferNovember 5, 2023 23:05:43 UTC 2023 年 11 月 6 日 (月) 8 時 5 分 43 秒 (日本時間)
5043e60 / 5821--
5511e7428 / 17581Youcef LemsaferNovember 5, 2023 23:05:43 UTC 2023 年 11 月 6 日 (月) 8 時 5 分 43 秒 (日本時間)

115×10286-13

c253

name 名前Youcef Lemsafer
date 日付November 10, 2023 20:39:18 UTC 2023 年 11 月 11 日 (土) 5 時 39 分 18 秒 (日本時間)
composite number 合成数
3796713940783165701336046772566015858379545757001200551832202667909826166362510935133961445309136264658511930791250279545133054584714681389970926605087326586297510300671911358861832012659540541508377629622574955679197495173651106206028888553779686308919<253>
prime factors 素因数
18972839124216837378063038625376984459972306593859<50>
composite cofactor 合成数の残り
200113115170889681662087769272062637253930006911846899070059055006678179318262612098325785239243101776955368175443936551508455670674405679735801484499026948813605949003439099419901144801700281629745817341<204>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
Input number is (115*10^286-1)/(3*509*839*236422587186755264677585739257) (253 digits)
[Thu Nov  9 16:00:38 2023]
Using MODMULN [mulredc:0, sqrredc:2]
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=0:14834754519965606786
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35  40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+07 3.6e+08
Step 1 took 969304ms
Using 30 small primes for NTT
Estimated memory usage: 690.82MB
Initializing tables of differences for F took 697ms
Computing roots of F took 28695ms
Building F from its roots took 10546ms
Computing 1/F took 4577ms
Initializing table of differences for G took 585ms
Computing roots of G took 24193ms
Building G from its roots took 11834ms
Computing roots of G took 23394ms
Building G from its roots took 11868ms
Computing G * H took 2372ms
Reducing  G * H mod F took 2486ms
Computing roots of G took 24157ms
Building G from its roots took 11742ms
Computing G * H took 2358ms
Reducing  G * H mod F took 2444ms
Computing roots of G took 23264ms
Building G from its roots took 11399ms
Computing G * H took 2340ms
Reducing  G * H mod F took 2472ms
Computing polyeval(F,G) took 20460ms
Computing product of all F(g_i) took 104ms
Step 2 took 222443ms
********** Factor found in step 2: 18972839124216837378063038625376984459972306593859
Found prime factor of 50 digits: 18972839124216837378063038625376984459972306593859
Composite cofactor ((115*10^286-1)/(3*509*839*236422587186755264677585739257))/18972839124216837378063038625376984459972306593859 has 204 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e62700Youcef LemsaferNovember 10, 2023 20:38:00 UTC 2023 年 11 月 11 日 (土) 5 時 38 分 0 秒 (日本時間)
5043e60--
5511e73200 / 17581Youcef LemsaferNovember 10, 2023 20:38:00 UTC 2023 年 11 月 11 日 (土) 5 時 38 分 0 秒 (日本時間)

115×10287-13

c278

composite cofactor 合成数の残り
35136516595642339436207669135047199515765464690926231335052233228740313111664347466513352982530683514477835417097665634850045439827577549975816067410759679639899902373026399961566084477507601555610840550500952246241176176162037111609922664416705436085967686898256823802226371471<278>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e62700Youcef LemsaferNovember 15, 2023 21:48:22 UTC 2023 年 11 月 16 日 (木) 6 時 48 分 22 秒 (日本時間)
5043e60--
5511e73200 / 17581Youcef LemsaferNovember 15, 2023 21:48:22 UTC 2023 年 11 月 16 日 (木) 6 時 48 分 22 秒 (日本時間)

115×10288-13

c258

composite cofactor 合成数の残り
354582964946072518936589568340884130182453638656162244130523776442194693582042958171794996296316330828499263671220464669049011273372371272111104523363059966613883725285537454504053862177480729333182149588831942616736212392680401948499126126782495548171780033<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e62700Youcef LemsaferNovember 21, 2023 16:07:46 UTC 2023 年 11 月 22 日 (水) 1 時 7 分 46 秒 (日本時間)
5043e60--
5511e73200 / 17581Youcef LemsaferNovember 21, 2023 16:07:46 UTC 2023 年 11 月 22 日 (水) 1 時 7 分 46 秒 (日本時間)

115×10289-13

c271

composite cofactor 合成数の残り
2614870876139733238981085334888648390382083653359862414532929404190715144510814156589292241213147093927619590885609709797670874918397390972739905131753537278855907648627450644762234046740301552344021592138776701716923652208519061305131738959927035987475188445804463935597<271>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e62700Youcef LemsaferNovember 26, 2023 13:45:51 UTC 2023 年 11 月 26 日 (日) 22 時 45 分 51 秒 (日本時間)
5043e60--
5511e73200 / 17581Youcef LemsaferNovember 26, 2023 13:45:51 UTC 2023 年 11 月 26 日 (日) 22 時 45 分 51 秒 (日本時間)

115×10291-13

c208

composite cofactor 合成数の残り
8720628021076751930603694875843226674346330056374912212074697817161275870915254210898629414078660334315711228052585399988386203597864941255124902591552320385899411028810959199168603636533487350939808901646023<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e63600900Dmitry DomanovMarch 6, 2022 07:35:22 UTC 2022 年 3 月 6 日 (日) 16 時 35 分 22 秒 (日本時間)
2700Youcef LemsaferNovember 29, 2023 20:34:49 UTC 2023 年 11 月 30 日 (木) 5 時 34 分 49 秒 (日本時間)
5043e60--
5511e73200 / 17524Youcef LemsaferNovember 29, 2023 20:34:49 UTC 2023 年 11 月 30 日 (木) 5 時 34 分 49 秒 (日本時間)

115×10293-13

c268

composite cofactor 合成数の残り
6686517345043572368843744833687587306838088931284628150252980842662164695620557203347931890587331078247941755097904381465691293886160526637571894810021591232706366548324458244739621740587282647083613606005647133771306041326258490943000617852190542307334052518298309881<268>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e62700Youcef LemsaferOctober 27, 2023 23:19:10 UTC 2023 年 10 月 28 日 (土) 8 時 19 分 10 秒 (日本時間)
5043e60--
5511e73200 / 17581Youcef LemsaferOctober 27, 2023 23:19:10 UTC 2023 年 10 月 28 日 (土) 8 時 19 分 10 秒 (日本時間)

115×10294-13

c257

composite cofactor 合成数の残り
43608951456994494383800463371403981065940021128405138412631559233945013419249446075888603199804685999369354324177659352457144514844328341161980762449194957339028795694082868032744992596770573762723939079331832481439339745383126743528896484107030402014379709<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e62700Youcef LemsaferDecember 4, 2023 18:58:35 UTC 2023 年 12 月 5 日 (火) 3 時 58 分 35 秒 (日本時間)
5043e60--
5511e73200 / 17581Youcef LemsaferDecember 4, 2023 18:58:59 UTC 2023 年 12 月 5 日 (火) 3 時 58 分 59 秒 (日本時間)

115×10295-13

c267

composite cofactor 合成数の残り
579478049532213544694532245993346345564325034886806118607742125126726714912700348922285877950310598841766163028089509527170934435039090402690164480273438668110562259754580665074806710647273942592928528017207359435012562741322896228252175526536413199061397139383839527<267>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e62700Youcef LemsaferDecember 9, 2023 21:14:09 UTC 2023 年 12 月 10 日 (日) 6 時 14 分 9 秒 (日本時間)
5043e60--
5511e73200 / 17581Youcef LemsaferDecember 9, 2023 21:14:09 UTC 2023 年 12 月 10 日 (日) 6 時 14 分 9 秒 (日本時間)

115×10296-13

c249

composite cofactor 合成数の残り
112892685300447219993705676414170550843579074074386686860635330618833203894698338700475734975476324337814868337992323293754264962374522402618629907737555845728293900623728117400954552974384702685466614665854178917681893650279571371075601753229420483<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e62880Youcef LemsaferDecember 13, 2023 21:15:43 UTC 2023 年 12 月 14 日 (木) 6 時 15 分 43 秒 (日本時間)
5043e60--
5511e73200 / 17569Youcef LemsaferDecember 13, 2023 21:15:43 UTC 2023 年 12 月 14 日 (木) 6 時 15 分 43 秒 (日本時間)

115×10297-13

c292

composite cofactor 合成数の残り
4662470200227147439511240141257440643612251625651321747459774741063635947515505450083046702909871977893242162985605900368201353194807694794862866007458249505159874684153119251351619703631500735231007356688741233187689927243976970316322655425167211385087320160922523651596387226177686252812027<292>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e63579Youcef LemsaferJanuary 6, 2024 09:20:53 UTC 2024 年 1 月 6 日 (土) 18 時 20 分 53 秒 (日本時間)
5043e60--
5511e73966 / 17526Youcef LemsaferJanuary 6, 2024 09:20:53 UTC 2024 年 1 月 6 日 (土) 18 時 20 分 53 秒 (日本時間)

115×10298-13

c289

name 名前Youcef Lemsafer
date 日付January 12, 2024 16:04:36 UTC 2024 年 1 月 13 日 (土) 1 時 4 分 36 秒 (日本時間)
composite number 合成数
1974391110243485459936412391361936807393297615610507089482521826517503515674863442648103125037388674256347713501292103377897616958455490703513245783451237855919492044425699976531632359497084814016033585377687069397863816539091917047923426667631694170449435940531150636833922310728889419619<289>
prime factors 素因数
274654488802429436052081179969861817640675320323<48>
211675639103273482398154358641483000122646006289662061<54>
33960619659000025874406340136380683320811697486399777588814113240004401714685547668598489058482473136112887472884500012571211267064102110577549039055722451930315411723121217747636890151173<188>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
Input number is (115*10^298-1)/(3*1427*10499*12959) (289 digits)
[Sun Jan  7 18:49:53 2024]
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=0:18008368215378715833
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35        40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+07 3.6e+08
Step 1 took 1069463ms
Using 34 small primes for NTT
Estimated memory usage: 748.87MB
Initializing tables of differences for F took 684ms
Computing roots of F took 27646ms
Building F from its roots took 12361ms
Computing 1/F took 5428ms
Initializing table of differences for G took 298ms
Computing roots of G took 13629ms
Building G from its roots took 8470ms
Computing roots of G took 12431ms
Building G from its roots took 8522ms
Computing G * H took 1723ms
Reducing  G * H mod F took 1798ms
Computing roots of G took 12387ms
Building G from its roots took 8778ms
Computing G * H took 1728ms
Reducing  G * H mod F took 1853ms
Computing roots of G took 14357ms
Building G from its roots took 8528ms
Computing G * H took 1764ms
Reducing  G * H mod F took 1841ms
Computing polyeval(F,G) took 15280ms
Computing product of all F(g_i) took 72ms
Step 2 took 159941ms
********** Factor found in step 2: 274654488802429436052081179969861817640675320323
Found prime factor of 48 digits: 274654488802429436052081179969861817640675320323
Composite cofactor ((115*10^298-1)/(3*1427*10499*12959))/274654488802429436052081179969861817640675320323 has 241 digits
[Thu Jan 11 15:27:25 2024]
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=200000000, B2=2383901369866, polynomial Dickson(30), sigma=0:8286893226848425450
dF=262144, k=3, d=2852850, d2=17, i0=54
Expected number of curves to find a factor of n digits:
35        40      45      50      55      60      65      70      75      80
26      94      391     1837    9609    54726   337951  2245192 1.6e+07 1.2e+08
Step 1 took 1851107ms
Using 34 small primes for NTT
Estimated memory usage: 1.49GB
Initializing tables of differences for F took 718ms
Computing roots of F took 58132ms
Building F from its roots took 25656ms
Computing 1/F took 11158ms
Initializing table of differences for G took 974ms
Computing roots of G took 44400ms
Building G from its roots took 26150ms
Computing roots of G took 46045ms
Building G from its roots took 28585ms
Computing G * H took 5631ms
Reducing  G * H mod F took 5981ms
Computing roots of G took 46535ms
Building G from its roots took 30846ms
Computing G * H took 5618ms
Reducing  G * H mod F took 5983ms
Computing polyeval(F,G) took 53115ms
Computing product of all F(g_i) took 266ms
Step 2 took 396615ms
********** Factor found in step 2: 211675639103273482398154358641483000122646006289662061
Found prime factor of 54 digits: 211675639103273482398154358641483000122646006289662061
Composite cofactor ((115*10^298-1)/(3*1427*10499*12959))/211675639103273482398154358641483000122646006289662061 has 235 digits
execution environment 実行環境
Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz, Linux Debian 64-bit.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e62880Youcef LemsaferJanuary 12, 2024 16:00:29 UTC 2024 年 1 月 13 日 (土) 1 時 0 分 29 秒 (日本時間)
5043e60--
5511e74096 / 17569Youcef LemsaferJanuary 12, 2024 16:00:29 UTC 2024 年 1 月 13 日 (土) 1 時 0 分 29 秒 (日本時間)

115×10299-13

c297

composite cofactor 合成数の残り
195508406861495044286904336886486118903112833851855629792081059485557878988796518250284762244776525390591795447204229781880620866697267982523248499685486475918464493973240849356522330460209789020927899899695686914537325104979514119107121606229067849917546454497543394365957736182655854201730674419<297>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e62880Youcef LemsaferJanuary 19, 2024 16:27:54 UTC 2024 年 1 月 20 日 (土) 1 時 27 分 54 秒 (日本時間)
5043e60--
5511e74096 / 17569Youcef LemsaferJanuary 19, 2024 16:27:54 UTC 2024 年 1 月 20 日 (土) 1 時 27 分 54 秒 (日本時間)

115×10300-13

c302

name 名前Dmitry Domanov
date 日付May 23, 2019 12:52:19 UTC 2019 年 5 月 23 日 (木) 21 時 52 分 19 秒 (日本時間)
composite number 合成数
38333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<302>
prime factors 素因数
720066876637422731167474238991440469254132874911585521<54>
53235795975427741890465391698230860095695557182785047144812320174995249922788196716408458115340398138332035237794082407962820659895888598957826697840104976519782742746845880877947232301184372592292646847839607171094957249880926769591748873037854373<248>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:844078124
Step 1 took 191607ms
Step 2 took 53755ms
********** Factor found in step 2: 720066876637422731167474238991440469254132874911585521
Found prime factor of 54 digits: 720066876637422731167474238991440469254132874911585521
Prime cofactor 53235795975427741890465391698230860095695557182785047144812320174995249922788196716408458115340398138332035237794082407962820659895888598957826697840104976519782742746845880877947232301184372592292646847839607171094957249880926769591748873037854373 has 248 digits

.ps: Rather nice ECM-hit =)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e64000Dmitry DomanovDecember 19, 2018 12:12:28 UTC 2018 年 12 月 19 日 (水) 21 時 12 分 28 秒 (日本時間)
5043e64000 / 6561Dmitry DomanovMay 21, 2019 09:21:15 UTC 2019 年 5 月 21 日 (火) 18 時 21 分 15 秒 (日本時間)