Table of contents 目次

94×10102-13

c98

name 名前KTakahashi
date 日付December 19, 2014 12:57:07 UTC 2014 年 12 月 19 日 (金) 21 時 57 分 7 秒 (日本時間)
composite number 合成数
72730705278933860708319696326093533234450523390272190795851873860197657297559111106984546272590041<98>
prime factors 素因数
594960932816714371904460975344254313<36>
122244505928491815375467959786156015377819294806164108547113457<63>
factorization results 素因数分解の結果
Number: 31333_102
N=72730705278933860708319696326093533234450523390272190795851873860197657297559111106984546272590041
  ( 98 digits)
SNFS difficulty: 105 digits.
Divisors found:
 r1=594960932816714371904460975344254313 (pp36)
 r2=122244505928491815375467959786156015377819294806164108547113457 (pp63)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 0.44 hours.
Scaled time: 0.76 units (timescale=1.728).
Factorization parameters were as follows:
n: 72730705278933860708319696326093533234450523390272190795851873860197657297559111106984546272590041
m: 100000000000000000000000000
c4: 47
c0: -50
skew: 1.02
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, 325001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 44028 x 44266
Total sieving time: 0.43 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,105.000,4,0,0,0,0,0,0,0,0,450000,500000,25,25,44,44,2.2,2.2,20000
total time: 0.44 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)

94×10106-13

c107

name 名前KTakahashi
date 日付December 19, 2014 12:59:44 UTC 2014 年 12 月 19 日 (金) 21 時 59 分 44 秒 (日本時間)
composite number 合成数
18431372549019607843137254901960784313725490196078431372549019607843137254901960784313725490196078431372549<107>
prime factors 素因数
142910037538718412509885007434259175178987<42>
128971854366954612153066520051912404276729227347888174994842827727<66>
factorization results 素因数分解の結果
Number: 31333_106
N=18431372549019607843137254901960784313725490196078431372549019607843137254901960784313725490196078431372549
  ( 107 digits)
SNFS difficulty: 108 digits.
Divisors found:
 r1=142910037538718412509885007434259175178987 (pp42)
 r2=128971854366954612153066520051912404276729227347888174994842827727 (pp66)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.61 hours.
Scaled time: 2.95 units (timescale=1.836).
Factorization parameters were as follows:
n: 18431372549019607843137254901960784313725490196078431372549019607843137254901960784313725490196078431372549
m: 2000000000000000000000
c5: 235
c0: -8
skew: 0.51
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 54963 x 55189
Total sieving time: 1.58 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,108.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.61 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)

94×10110-13

c98

name 名前KTakahashi
date 日付December 19, 2014 13:05:21 UTC 2014 年 12 月 19 日 (金) 22 時 5 分 21 秒 (日本時間)
composite number 合成数
29690517252272772149714378492454199800642131521956019258632968344928787718631190685779932132760409<98>
prime factors 素因数
390397349610607614313378916333<30>
76052046157298096002069961792199432136162349047736058306356863695773<68>
factorization results 素因数分解の結果
Number: 31333_110
N=29690517252272772149714378492454199800642131521956019258632968344928787718631190685779932132760409
  ( 98 digits)
SNFS difficulty: 111 digits.
Divisors found:
 r1=390397349610607614313378916333 (pp30)
 r2=76052046157298096002069961792199432136162349047736058306356863695773 (pp68)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.48 hours.
Scaled time: 2.56 units (timescale=1.737).
Factorization parameters were as follows:
n: 29690517252272772149714378492454199800642131521956019258632968344928787718631190685779932132760409
m: 10000000000000000000000
c5: 94
c0: -1
skew: 0.40
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 : 62991 x 63216
Total sieving time: 1.45 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,111.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.48 hours.
 --------- CPU info (if available) ----------

ECM

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

94×10118-13

c112

name 名前KTakahashi
date 日付December 19, 2014 13:36:17 UTC 2014 年 12 月 19 日 (金) 22 時 36 分 17 秒 (日本時間)
composite number 合成数
8769666455159104746547449954988753975655984345287069760280327799309952264373126469216506896871530646481058915207<112>
prime factors 素因数
264282561192934596894740720935723050174747636015767<51>
33182917615048281270048380748128893123544447234831641190962321<62>
factorization results 素因数分解の結果
Number: 31333_118
N=8769666455159104746547449954988753975655984345287069760280327799309952264373126469216506896871530646481058915207
  ( 112 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=264282561192934596894740720935723050174747636015767 (pp51)
 r2=33182917615048281270048380748128893123544447234831641190962321 (pp62)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.94 hours.
Scaled time: 3.27 units (timescale=1.687).
Factorization parameters were as follows:
n: 8769666455159104746547449954988753975655984345287069760280327799309952264373126469216506896871530646481058915207
m: 1000000000000000000000000
c5: 47
c0: -50
skew: 1.02
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 : 127884 x 128115
Total sieving time: 1.84 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.02 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: 1.94 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)

94×10124-13

c114

name 名前Cyp
date 日付December 20, 2014 01:11:46 UTC 2014 年 12 月 20 日 (土) 10 時 11 分 46 秒 (日本時間)
composite number 合成数
582297272057853669701180312032940750136811584839112401102561678064244223615742949078719163836181330571659661929447<114>
prime factors 素因数
57112917218116177859659715872160595011<38>
10195544202969715886691887990321715724449620869805516741927844947229856737677<77>
factorization results 素因数分解の結果
12/20/14 01:24:42 v1.34.3, 
12/20/14 01:24:42 v1.34.3, ****************************
12/20/14 01:24:42 v1.34.3, Starting factorization of 582297272057853669701180312032940750136811584839112401102561678064244223615742949078719163836181330571659661929447
12/20/14 01:24:42 v1.34.3, using pretesting plan: none
12/20/14 01:24:42 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/20/14 01:24:42 v1.34.3, ****************************
12/20/14 01:24:42 v1.34.3, nfs: commencing nfs on c114: 582297272057853669701180312032940750136811584839112401102561678064244223615742949078719163836181330571659661929447
12/20/14 01:24:42 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/20/14 01:24:42 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 01:26:19 v1.34.3, nfs: commencing lattice sieving with 8 threads
[28 lines snipped]
12/20/14 02:07:02 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 02:08:11 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 02:09:05 v1.34.3, nfs: commencing msieve filtering
12/20/14 02:10:09 v1.34.3, nfs: commencing msieve linear algebra
12/20/14 02:11:35 v1.34.3, nfs: commencing msieve sqrt
12/20/14 02:11:45 v1.34.3, prp77 = 10195544202969715886691887990321715724449620869805516741927844947229856737677
12/20/14 02:11:45 v1.34.3, prp38 = 57112917218116177859659715872160595011
12/20/14 02:11:45 v1.34.3, NFS elapsed time = 2822.7729 seconds.
12/20/14 02:11:45 v1.34.3, 
12/20/14 02:11:45 v1.34.3, 
12/20/14 02:11:45 v1.34.3, Total factoring time = 2822.7738 seconds
--
Sat Dec 20 02:09:05 2014  
Sat Dec 20 02:09:05 2014  commencing relation filtering
Sat Dec 20 02:09:05 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 02:09:05 2014  commencing duplicate removal, pass 1
Sat Dec 20 02:09:20 2014  found 572088 hash collisions in 4508944 relations
Sat Dec 20 02:09:25 2014  added 167852 free relations
Sat Dec 20 02:09:25 2014  commencing duplicate removal, pass 2
Sat Dec 20 02:09:29 2014  found 392130 duplicates and 4284666 unique relations
Sat Dec 20 02:09:29 2014  memory use: 20.6 MB
Sat Dec 20 02:09:29 2014  reading ideals above 100000
Sat Dec 20 02:09:29 2014  commencing singleton removal, initial pass
Sat Dec 20 02:09:56 2014  memory use: 94.1 MB
Sat Dec 20 02:09:56 2014  reading all ideals from disk
Sat Dec 20 02:09:56 2014  memory use: 125.6 MB
Sat Dec 20 02:09:56 2014  keeping 4031661 ideals with weight <= 200, target excess is 23686
Sat Dec 20 02:09:57 2014  commencing in-memory singleton removal
Sat Dec 20 02:09:57 2014  begin with 4284666 relations and 4031661 unique ideals
Sat Dec 20 02:09:59 2014  reduce to 2208101 relations and 1384323 ideals in 8 passes
Sat Dec 20 02:09:59 2014  max relations containing the same ideal: 134
Sat Dec 20 02:10:00 2014  removing 919258 relations and 529859 ideals in 389399 cliques
Sat Dec 20 02:10:00 2014  commencing in-memory singleton removal
Sat Dec 20 02:10:00 2014  begin with 1288843 relations and 1384323 unique ideals
Sat Dec 20 02:10:01 2014  reduce to 1227404 relations and 786066 ideals in 6 passes
Sat Dec 20 02:10:01 2014  max relations containing the same ideal: 85
Sat Dec 20 02:10:01 2014  removing 297718 relations and 163170 ideals in 134548 cliques
Sat Dec 20 02:10:01 2014  commencing in-memory singleton removal
Sat Dec 20 02:10:02 2014  begin with 929686 relations and 786066 unique ideals
Sat Dec 20 02:10:02 2014  reduce to 909588 relations and 601408 ideals in 5 passes
Sat Dec 20 02:10:02 2014  max relations containing the same ideal: 72
Sat Dec 20 02:10:02 2014  removing 170338 relations and 91612 ideals in 78726 cliques
Sat Dec 20 02:10:02 2014  commencing in-memory singleton removal
Sat Dec 20 02:10:02 2014  begin with 739250 relations and 601408 unique ideals
Sat Dec 20 02:10:02 2014  reduce to 728642 relations and 498644 ideals in 4 passes
Sat Dec 20 02:10:02 2014  max relations containing the same ideal: 60
Sat Dec 20 02:10:03 2014  removing 120527 relations and 64362 ideals in 56165 cliques
Sat Dec 20 02:10:03 2014  commencing in-memory singleton removal
Sat Dec 20 02:10:03 2014  begin with 608115 relations and 498644 unique ideals
Sat Dec 20 02:10:03 2014  reduce to 600681 relations and 426489 ideals in 4 passes
Sat Dec 20 02:10:03 2014  max relations containing the same ideal: 49
Sat Dec 20 02:10:03 2014  removing 94811 relations and 50532 ideals in 44279 cliques
Sat Dec 20 02:10:03 2014  commencing in-memory singleton removal
Sat Dec 20 02:10:03 2014  begin with 505870 relations and 426489 unique ideals
Sat Dec 20 02:10:03 2014  reduce to 499813 relations and 369642 ideals in 5 passes
Sat Dec 20 02:10:03 2014  max relations containing the same ideal: 46
Sat Dec 20 02:10:03 2014  removing 80434 relations and 42874 ideals in 37560 cliques
Sat Dec 20 02:10:03 2014  commencing in-memory singleton removal
Sat Dec 20 02:10:03 2014  begin with 419379 relations and 369642 unique ideals
Sat Dec 20 02:10:03 2014  reduce to 413643 relations and 320746 ideals in 5 passes
Sat Dec 20 02:10:03 2014  max relations containing the same ideal: 41
Sat Dec 20 02:10:03 2014  removing 71354 relations and 38302 ideals in 33052 cliques
Sat Dec 20 02:10:04 2014  commencing in-memory singleton removal
Sat Dec 20 02:10:04 2014  begin with 342289 relations and 320746 unique ideals
Sat Dec 20 02:10:04 2014  reduce to 336324 relations and 276203 ideals in 6 passes
Sat Dec 20 02:10:04 2014  max relations containing the same ideal: 37
Sat Dec 20 02:10:04 2014  removing 64877 relations and 35172 ideals in 29705 cliques
Sat Dec 20 02:10:04 2014  commencing in-memory singleton removal
Sat Dec 20 02:10:04 2014  begin with 271447 relations and 276203 unique ideals
Sat Dec 20 02:10:04 2014  reduce to 264999 relations and 234241 ideals in 5 passes
Sat Dec 20 02:10:04 2014  max relations containing the same ideal: 30
Sat Dec 20 02:10:04 2014  relations with 0 large ideals: 492
Sat Dec 20 02:10:04 2014  relations with 1 large ideals: 914
Sat Dec 20 02:10:04 2014  relations with 2 large ideals: 7826
Sat Dec 20 02:10:04 2014  relations with 3 large ideals: 28956
Sat Dec 20 02:10:04 2014  relations with 4 large ideals: 61134
Sat Dec 20 02:10:04 2014  relations with 5 large ideals: 75355
Sat Dec 20 02:10:04 2014  relations with 6 large ideals: 58727
Sat Dec 20 02:10:04 2014  relations with 7+ large ideals: 31595
Sat Dec 20 02:10:04 2014  commencing 2-way merge
Sat Dec 20 02:10:04 2014  reduce to 231706 relation sets and 200948 unique ideals
Sat Dec 20 02:10:04 2014  commencing full merge
Sat Dec 20 02:10:07 2014  memory use: 22.6 MB
Sat Dec 20 02:10:07 2014  found 103540 cycles, need 97148
Sat Dec 20 02:10:07 2014  weight of 97148 cycles is about 7023501 (72.30/cycle)
Sat Dec 20 02:10:07 2014  distribution of cycle lengths:
Sat Dec 20 02:10:07 2014  1 relations: 4200
Sat Dec 20 02:10:07 2014  2 relations: 7742
Sat Dec 20 02:10:07 2014  3 relations: 9785
Sat Dec 20 02:10:07 2014  4 relations: 10233
Sat Dec 20 02:10:07 2014  5 relations: 10026
Sat Dec 20 02:10:07 2014  6 relations: 9439
Sat Dec 20 02:10:07 2014  7 relations: 8384
Sat Dec 20 02:10:07 2014  8 relations: 7223
Sat Dec 20 02:10:07 2014  9 relations: 6409
Sat Dec 20 02:10:07 2014  10+ relations: 23707
Sat Dec 20 02:10:07 2014  heaviest cycle: 19 relations
Sat Dec 20 02:10:07 2014  commencing cycle optimization
Sat Dec 20 02:10:08 2014  start with 664059 relations
Sat Dec 20 02:10:09 2014  pruned 43946 relations
Sat Dec 20 02:10:09 2014  memory use: 17.3 MB
Sat Dec 20 02:10:09 2014  distribution of cycle lengths:
Sat Dec 20 02:10:09 2014  1 relations: 4200
Sat Dec 20 02:10:09 2014  2 relations: 8099
Sat Dec 20 02:10:09 2014  3 relations: 10655
Sat Dec 20 02:10:09 2014  4 relations: 11160
Sat Dec 20 02:10:09 2014  5 relations: 10912
Sat Dec 20 02:10:09 2014  6 relations: 10182
Sat Dec 20 02:10:09 2014  7 relations: 8979
Sat Dec 20 02:10:09 2014  8 relations: 7549
Sat Dec 20 02:10:09 2014  9 relations: 6467
Sat Dec 20 02:10:09 2014  10+ relations: 18945
Sat Dec 20 02:10:09 2014  heaviest cycle: 18 relations
Sat Dec 20 02:10:09 2014  RelProcTime: 64
Sat Dec 20 02:10:09 2014  
Sat Dec 20 02:10:09 2014  commencing linear algebra
Sat Dec 20 02:10:09 2014  read 97148 cycles
Sat Dec 20 02:10:09 2014  cycles contain 247028 unique relations
Sat Dec 20 02:10:13 2014  read 247028 relations
Sat Dec 20 02:10:14 2014  using 20 quadratic characters above 66992544
Sat Dec 20 02:10:14 2014  building initial matrix
Sat Dec 20 02:10:17 2014  memory use: 31.4 MB
Sat Dec 20 02:10:17 2014  read 97148 cycles
Sat Dec 20 02:10:17 2014  matrix is 96973 x 97148 (28.5 MB) with weight 8576314 (88.28/col)
Sat Dec 20 02:10:17 2014  sparse part has weight 6391903 (65.80/col)
Sat Dec 20 02:10:18 2014  filtering completed in 2 passes
Sat Dec 20 02:10:18 2014  matrix is 96907 x 97085 (28.4 MB) with weight 8572856 (88.30/col)
Sat Dec 20 02:10:18 2014  sparse part has weight 6389863 (65.82/col)
Sat Dec 20 02:10:18 2014  matrix starts at (0, 0)
Sat Dec 20 02:10:18 2014  matrix is 96907 x 97085 (28.4 MB) with weight 8572856 (88.30/col)
Sat Dec 20 02:10:18 2014  sparse part has weight 6389863 (65.82/col)
Sat Dec 20 02:10:18 2014  saving the first 48 matrix rows for later
Sat Dec 20 02:10:18 2014  matrix includes 64 packed rows
Sat Dec 20 02:10:18 2014  matrix is 96859 x 97085 (26.6 MB) with weight 6666744 (68.67/col)
Sat Dec 20 02:10:18 2014  sparse part has weight 6003418 (61.84/col)
Sat Dec 20 02:10:18 2014  using block size 38743 for processor cache size 8192 kB
Sat Dec 20 02:10:19 2014  commencing Lanczos iteration
Sat Dec 20 02:10:19 2014  memory use: 19.7 MB
Sat Dec 20 02:10:54 2014  linear algebra at 49.6%, ETA 0h 0m
Sat Dec 20 02:11:35 2014  lanczos halted after 1533 iterations (dim = 96859)
Sat Dec 20 02:11:35 2014  recovered 37 nontrivial dependencies
Sat Dec 20 02:11:35 2014  BLanczosTime: 86
Sat Dec 20 02:11:35 2014  
Sat Dec 20 02:11:35 2014  commencing square root phase
Sat Dec 20 02:11:35 2014  reading relations for dependency 1
Sat Dec 20 02:11:35 2014  read 48405 cycles
Sat Dec 20 02:11:35 2014  cycles contain 123360 unique relations
Sat Dec 20 02:11:39 2014  read 123360 relations
Sat Dec 20 02:11:40 2014  multiplying 123360 relations
Sat Dec 20 02:11:42 2014  multiply complete, coefficients have about 3.03 million bits
Sat Dec 20 02:11:42 2014  initial square root is modulo 9377101
Sat Dec 20 02:11:45 2014  sqrtTime: 10
--
n: 582297272057853669701180312032940750136811584839112401102561678064244223615742949078719163836181330571659661929447
m: 10000000000000000000000000
deg: 5
c5: 47
c0: -5
skew: 0.64
# Murphy_E = 1.074e-08
type: snfs
lss: 1
rlim: 900000
alim: 900000
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)

94×10126-13

c120

name 名前Cyp
date 日付December 20, 2014 02:43:10 UTC 2014 年 12 月 20 日 (土) 11 時 43 分 10 秒 (日本時間)
composite number 合成数
122042034904325789404916325494587712943210726490488109364692621042423001891743721702988109510753567071536313679542515513<120>
prime factors 素因数
1469369904224418542120592534384691863717320629320103<52>
83057393889351207343043768091372079243092835629295682377303285949471<68>
factorization results 素因数分解の結果
12/20/14 03:14:16 v1.34.3, 
12/20/14 03:14:16 v1.34.3, ****************************
12/20/14 03:14:16 v1.34.3, Starting factorization of 122042034904325789404916325494587712943210726490488109364692621042423001891743721702988109510753567071536313679542515513
12/20/14 03:14:16 v1.34.3, using pretesting plan: none
12/20/14 03:14:16 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/20/14 03:14:16 v1.34.3, ****************************
12/20/14 03:14:16 v1.34.3, nfs: commencing nfs on c120: 122042034904325789404916325494587712943210726490488109364692621042423001891743721702988109510753567071536313679542515513
12/20/14 03:14:16 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/20/14 03:14:16 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 03:15:29 v1.34.3, nfs: commencing lattice sieving with 8 threads
[22 lines snipped]
12/20/14 03:38:44 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 03:39:43 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 03:41:02 v1.34.3, nfs: commencing msieve filtering
12/20/14 03:42:07 v1.34.3, nfs: commencing msieve linear algebra
12/20/14 03:43:03 v1.34.3, nfs: commencing msieve sqrt
12/20/14 03:43:10 v1.34.3, prp52 = 1469369904224418542120592534384691863717320629320103
12/20/14 03:43:10 v1.34.3, prp68 = 83057393889351207343043768091372079243092835629295682377303285949471
12/20/14 03:43:10 v1.34.3, NFS elapsed time = 1733.7252 seconds.
12/20/14 03:43:10 v1.34.3, 
12/20/14 03:43:10 v1.34.3, 
12/20/14 03:43:10 v1.34.3, Total factoring time = 1733.7258 seconds
--
Sat Dec 20 03:41:02 2014  
Sat Dec 20 03:41:02 2014  commencing relation filtering
Sat Dec 20 03:41:02 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 03:41:02 2014  commencing duplicate removal, pass 1
Sat Dec 20 03:41:21 2014  found 574565 hash collisions in 4529106 relations
Sat Dec 20 03:41:27 2014  added 168759 free relations
Sat Dec 20 03:41:27 2014  commencing duplicate removal, pass 2
Sat Dec 20 03:41:32 2014  found 390676 duplicates and 4307189 unique relations
Sat Dec 20 03:41:32 2014  memory use: 20.6 MB
Sat Dec 20 03:41:32 2014  reading ideals above 100000
Sat Dec 20 03:41:32 2014  commencing singleton removal, initial pass
Sat Dec 20 03:41:59 2014  memory use: 94.1 MB
Sat Dec 20 03:41:59 2014  reading all ideals from disk
Sat Dec 20 03:41:59 2014  memory use: 127.0 MB
Sat Dec 20 03:41:59 2014  keeping 4080336 ideals with weight <= 200, target excess is 23680
Sat Dec 20 03:41:59 2014  commencing in-memory singleton removal
Sat Dec 20 03:41:59 2014  begin with 4307189 relations and 4080336 unique ideals
Sat Dec 20 03:42:01 2014  reduce to 2209735 relations and 1412157 ideals in 9 passes
Sat Dec 20 03:42:01 2014  max relations containing the same ideal: 127
Sat Dec 20 03:42:01 2014  removing 916747 relations and 531692 ideals in 385055 cliques
Sat Dec 20 03:42:01 2014  commencing in-memory singleton removal
Sat Dec 20 03:42:01 2014  begin with 1292988 relations and 1412157 unique ideals
Sat Dec 20 03:42:02 2014  reduce to 1225086 relations and 804427 ideals in 6 passes
Sat Dec 20 03:42:02 2014  max relations containing the same ideal: 83
Sat Dec 20 03:42:02 2014  removing 331522 relations and 182336 ideals in 149186 cliques
Sat Dec 20 03:42:02 2014  commencing in-memory singleton removal
Sat Dec 20 03:42:02 2014  begin with 893564 relations and 804427 unique ideals
Sat Dec 20 03:42:02 2014  reduce to 869478 relations and 596269 ideals in 5 passes
Sat Dec 20 03:42:02 2014  max relations containing the same ideal: 68
Sat Dec 20 03:42:02 2014  removing 182398 relations and 99329 ideals in 83069 cliques
Sat Dec 20 03:42:02 2014  commencing in-memory singleton removal
Sat Dec 20 03:42:02 2014  begin with 687080 relations and 596269 unique ideals
Sat Dec 20 03:42:02 2014  reduce to 673375 relations and 482404 ideals in 5 passes
Sat Dec 20 03:42:02 2014  max relations containing the same ideal: 53
Sat Dec 20 03:42:03 2014  removing 130443 relations and 70732 ideals in 59711 cliques
Sat Dec 20 03:42:03 2014  commencing in-memory singleton removal
Sat Dec 20 03:42:03 2014  begin with 542932 relations and 482404 unique ideals
Sat Dec 20 03:42:03 2014  reduce to 532454 relations and 400634 ideals in 5 passes
Sat Dec 20 03:42:03 2014  max relations containing the same ideal: 47
Sat Dec 20 03:42:03 2014  removing 103968 relations and 56364 ideals in 47604 cliques
Sat Dec 20 03:42:03 2014  commencing in-memory singleton removal
Sat Dec 20 03:42:03 2014  begin with 428486 relations and 400634 unique ideals
Sat Dec 20 03:42:03 2014  reduce to 419422 relations and 334694 ideals in 5 passes
Sat Dec 20 03:42:03 2014  max relations containing the same ideal: 42
Sat Dec 20 03:42:03 2014  removing 87805 relations and 47992 ideals in 39813 cliques
Sat Dec 20 03:42:03 2014  commencing in-memory singleton removal
Sat Dec 20 03:42:03 2014  begin with 331617 relations and 334694 unique ideals
Sat Dec 20 03:42:03 2014  reduce to 322317 relations and 276860 ideals in 6 passes
Sat Dec 20 03:42:03 2014  max relations containing the same ideal: 34
Sat Dec 20 03:42:03 2014  removing 43692 relations and 25704 ideals in 17988 cliques
Sat Dec 20 03:42:03 2014  commencing in-memory singleton removal
Sat Dec 20 03:42:03 2014  begin with 278625 relations and 276860 unique ideals
Sat Dec 20 03:42:03 2014  reduce to 273023 relations and 245256 ideals in 5 passes
Sat Dec 20 03:42:03 2014  max relations containing the same ideal: 30
Sat Dec 20 03:42:03 2014  relations with 0 large ideals: 544
Sat Dec 20 03:42:03 2014  relations with 1 large ideals: 826
Sat Dec 20 03:42:03 2014  relations with 2 large ideals: 7395
Sat Dec 20 03:42:03 2014  relations with 3 large ideals: 29184
Sat Dec 20 03:42:03 2014  relations with 4 large ideals: 63272
Sat Dec 20 03:42:03 2014  relations with 5 large ideals: 78367
Sat Dec 20 03:42:03 2014  relations with 6 large ideals: 60712
Sat Dec 20 03:42:03 2014  relations with 7+ large ideals: 32723
Sat Dec 20 03:42:03 2014  commencing 2-way merge
Sat Dec 20 03:42:03 2014  reduce to 227073 relation sets and 199306 unique ideals
Sat Dec 20 03:42:03 2014  commencing full merge
Sat Dec 20 03:42:06 2014  memory use: 22.9 MB
Sat Dec 20 03:42:06 2014  found 105157 cycles, need 101506
Sat Dec 20 03:42:06 2014  weight of 101506 cycles is about 7226292 (71.19/cycle)
Sat Dec 20 03:42:06 2014  distribution of cycle lengths:
Sat Dec 20 03:42:06 2014  1 relations: 4914
Sat Dec 20 03:42:06 2014  2 relations: 8349
Sat Dec 20 03:42:06 2014  3 relations: 10722
Sat Dec 20 03:42:06 2014  4 relations: 10955
Sat Dec 20 03:42:06 2014  5 relations: 10623
Sat Dec 20 03:42:06 2014  6 relations: 9839
Sat Dec 20 03:42:06 2014  7 relations: 8850
Sat Dec 20 03:42:06 2014  8 relations: 7660
Sat Dec 20 03:42:06 2014  9 relations: 6506
Sat Dec 20 03:42:06 2014  10+ relations: 23088
Sat Dec 20 03:42:06 2014  heaviest cycle: 20 relations
Sat Dec 20 03:42:06 2014  commencing cycle optimization
Sat Dec 20 03:42:06 2014  start with 677780 relations
Sat Dec 20 03:42:07 2014  pruned 40585 relations
Sat Dec 20 03:42:07 2014  memory use: 18.1 MB
Sat Dec 20 03:42:07 2014  distribution of cycle lengths:
Sat Dec 20 03:42:07 2014  1 relations: 4914
Sat Dec 20 03:42:07 2014  2 relations: 8709
Sat Dec 20 03:42:07 2014  3 relations: 11527
Sat Dec 20 03:42:07 2014  4 relations: 11765
Sat Dec 20 03:42:07 2014  5 relations: 11488
Sat Dec 20 03:42:07 2014  6 relations: 10556
Sat Dec 20 03:42:07 2014  7 relations: 9329
Sat Dec 20 03:42:07 2014  8 relations: 7862
Sat Dec 20 03:42:07 2014  9 relations: 6479
Sat Dec 20 03:42:07 2014  10+ relations: 18877
Sat Dec 20 03:42:07 2014  heaviest cycle: 19 relations
Sat Dec 20 03:42:07 2014  RelProcTime: 65
Sat Dec 20 03:42:07 2014  
Sat Dec 20 03:42:07 2014  commencing linear algebra
Sat Dec 20 03:42:07 2014  read 101506 cycles
Sat Dec 20 03:42:07 2014  cycles contain 262065 unique relations
Sat Dec 20 03:42:11 2014  read 262065 relations
Sat Dec 20 03:42:11 2014  using 20 quadratic characters above 66958142
Sat Dec 20 03:42:13 2014  building initial matrix
Sat Dec 20 03:42:15 2014  memory use: 32.8 MB
Sat Dec 20 03:42:15 2014  read 101506 cycles
Sat Dec 20 03:42:15 2014  matrix is 101329 x 101506 (29.6 MB) with weight 8933832 (88.01/col)
Sat Dec 20 03:42:15 2014  sparse part has weight 6640461 (65.42/col)
Sat Dec 20 03:42:16 2014  filtering completed in 2 passes
Sat Dec 20 03:42:16 2014  matrix is 101298 x 101475 (29.6 MB) with weight 8932416 (88.03/col)
Sat Dec 20 03:42:16 2014  sparse part has weight 6639692 (65.43/col)
Sat Dec 20 03:42:16 2014  matrix starts at (0, 0)
Sat Dec 20 03:42:16 2014  matrix is 101298 x 101475 (29.6 MB) with weight 8932416 (88.03/col)
Sat Dec 20 03:42:16 2014  sparse part has weight 6639692 (65.43/col)
Sat Dec 20 03:42:16 2014  saving the first 48 matrix rows for later
Sat Dec 20 03:42:16 2014  matrix includes 64 packed rows
Sat Dec 20 03:42:16 2014  matrix is 101250 x 101475 (27.8 MB) with weight 7023431 (69.21/col)
Sat Dec 20 03:42:16 2014  sparse part has weight 6277274 (61.86/col)
Sat Dec 20 03:42:16 2014  using block size 40500 for processor cache size 8192 kB
Sat Dec 20 03:42:16 2014  commencing Lanczos iteration
Sat Dec 20 03:42:16 2014  memory use: 20.6 MB
Sat Dec 20 03:42:23 2014  linear algebra at 12.0%, ETA 0h 0m
Sat Dec 20 03:43:03 2014  lanczos halted after 1602 iterations (dim = 101250)
Sat Dec 20 03:43:03 2014  recovered 39 nontrivial dependencies
Sat Dec 20 03:43:03 2014  BLanczosTime: 56
Sat Dec 20 03:43:03 2014  
Sat Dec 20 03:43:03 2014  commencing square root phase
Sat Dec 20 03:43:03 2014  reading relations for dependency 1
Sat Dec 20 03:43:03 2014  read 50653 cycles
Sat Dec 20 03:43:03 2014  cycles contain 131016 unique relations
Sat Dec 20 03:43:05 2014  read 131016 relations
Sat Dec 20 03:43:06 2014  multiplying 131016 relations
Sat Dec 20 03:43:07 2014  multiply complete, coefficients have about 3.70 million bits
Sat Dec 20 03:43:07 2014  initial square root is modulo 330025961
Sat Dec 20 03:43:10 2014  sqrtTime: 7
--
n: 122042034904325789404916325494587712943210726490488109364692621042423001891743721702988109510753567071536313679542515513
m: 10000000000000000000000000
deg: 5
c5: 940
c0: -1
skew: 0.25
# Murphy_E = 9.392e-09
type: snfs
lss: 1
rlim: 950000
alim: 950000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
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 18:01:25 UTC 2014 年 12 月 20 日 (土) 3 時 1 分 25 秒 (日本時間)

94×10127-13

c115

name 名前Cyp
date 日付December 20, 2014 04:35:16 UTC 2014 年 12 月 20 日 (土) 13 時 35 分 16 秒 (日本時間)
composite number 合成数
6678037383611001719295399998993776246914310224568214650299997320349981304455302376039716401483872171416679754676767<115>
prime factors 素因数
21063364560119528642796918475133022823955483680655537791<56>
317045140843970928446246400144887654145480798050078215613537<60>
factorization results 素因数分解の結果
12/20/14 04:53:18 v1.34.3, 
12/20/14 04:53:18 v1.34.3, ****************************
12/20/14 04:53:18 v1.34.3, Starting factorization of 6678037383611001719295399998993776246914310224568214650299997320349981304455302376039716401483872171416679754676767
12/20/14 04:53:18 v1.34.3, using pretesting plan: none
12/20/14 04:53:18 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/20/14 04:53:18 v1.34.3, ****************************
12/20/14 04:53:18 v1.34.3, nfs: commencing nfs on c115: 6678037383611001719295399998993776246914310224568214650299997320349981304455302376039716401483872171416679754676767
12/20/14 04:53:18 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/20/14 04:53:18 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 04:54:17 v1.34.3, nfs: commencing lattice sieving with 8 threads
[31 lines snipped]
12/20/14 05:29:53 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 05:30:51 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 05:32:03 v1.34.3, nfs: commencing msieve filtering
12/20/14 05:33:14 v1.34.3, nfs: commencing msieve linear algebra
12/20/14 05:34:44 v1.34.3, nfs: commencing msieve sqrt
12/20/14 05:35:15 v1.34.3, prp60 = 317045140843970928446246400144887654145480798050078215613537
12/20/14 05:35:15 v1.34.3, prp56 = 21063364560119528642796918475133022823955483680655537791
12/20/14 05:35:15 v1.34.3, NFS elapsed time = 2516.9836 seconds.
12/20/14 05:35:15 v1.34.3, 
12/20/14 05:35:15 v1.34.3, 
12/20/14 05:35:15 v1.34.3, Total factoring time = 2516.9844 seconds
--
Sat Dec 20 05:32:03 2014  
Sat Dec 20 05:32:03 2014  commencing relation filtering
Sat Dec 20 05:32:03 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 05:32:03 2014  commencing duplicate removal, pass 1
Sat Dec 20 05:32:25 2014  found 606051 hash collisions in 4540910 relations
Sat Dec 20 05:32:32 2014  added 170471 free relations
Sat Dec 20 05:32:32 2014  commencing duplicate removal, pass 2
Sat Dec 20 05:32:37 2014  found 431648 duplicates and 4279733 unique relations
Sat Dec 20 05:32:37 2014  memory use: 20.6 MB
Sat Dec 20 05:32:37 2014  reading ideals above 100000
Sat Dec 20 05:32:37 2014  commencing singleton removal, initial pass
Sat Dec 20 05:33:04 2014  memory use: 94.1 MB
Sat Dec 20 05:33:04 2014  reading all ideals from disk
Sat Dec 20 05:33:04 2014  memory use: 127.4 MB
Sat Dec 20 05:33:04 2014  keeping 4113237 ideals with weight <= 200, target excess is 23478
Sat Dec 20 05:33:04 2014  commencing in-memory singleton removal
Sat Dec 20 05:33:04 2014  begin with 4279733 relations and 4113237 unique ideals
Sat Dec 20 05:33:06 2014  reduce to 2167515 relations and 1423494 ideals in 9 passes
Sat Dec 20 05:33:06 2014  max relations containing the same ideal: 126
Sat Dec 20 05:33:07 2014  removing 869315 relations and 510922 ideals in 358393 cliques
Sat Dec 20 05:33:07 2014  commencing in-memory singleton removal
Sat Dec 20 05:33:07 2014  begin with 1298200 relations and 1423494 unique ideals
Sat Dec 20 05:33:08 2014  reduce to 1223301 relations and 828266 ideals in 6 passes
Sat Dec 20 05:33:08 2014  max relations containing the same ideal: 87
Sat Dec 20 05:33:08 2014  removing 389671 relations and 214827 ideals in 174844 cliques
Sat Dec 20 05:33:08 2014  commencing in-memory singleton removal
Sat Dec 20 05:33:08 2014  begin with 833630 relations and 828266 unique ideals
Sat Dec 20 05:33:08 2014  reduce to 804515 relations and 581998 ideals in 6 passes
Sat Dec 20 05:33:08 2014  max relations containing the same ideal: 65
Sat Dec 20 05:33:08 2014  removing 192626 relations and 106241 ideals in 86385 cliques
Sat Dec 20 05:33:08 2014  commencing in-memory singleton removal
Sat Dec 20 05:33:08 2014  begin with 611889 relations and 581998 unique ideals
Sat Dec 20 05:33:08 2014  reduce to 593725 relations and 456340 ideals in 6 passes
Sat Dec 20 05:33:08 2014  max relations containing the same ideal: 51
Sat Dec 20 05:33:09 2014  removing 138713 relations and 76462 ideals in 62251 cliques
Sat Dec 20 05:33:09 2014  commencing in-memory singleton removal
Sat Dec 20 05:33:09 2014  begin with 455012 relations and 456340 unique ideals
Sat Dec 20 05:33:09 2014  reduce to 440450 relations and 364350 ideals in 6 passes
Sat Dec 20 05:33:09 2014  max relations containing the same ideal: 43
Sat Dec 20 05:33:09 2014  removing 109376 relations and 60776 ideals in 48600 cliques
Sat Dec 20 05:33:09 2014  commencing in-memory singleton removal
Sat Dec 20 05:33:09 2014  begin with 331074 relations and 364350 unique ideals
Sat Dec 20 05:33:09 2014  reduce to 317359 relations and 288834 ideals in 6 passes
Sat Dec 20 05:33:09 2014  max relations containing the same ideal: 33
Sat Dec 20 05:33:09 2014  relations with 0 large ideals: 489
Sat Dec 20 05:33:09 2014  relations with 1 large ideals: 762
Sat Dec 20 05:33:09 2014  relations with 2 large ideals: 6411
Sat Dec 20 05:33:09 2014  relations with 3 large ideals: 28150
Sat Dec 20 05:33:09 2014  relations with 4 large ideals: 65218
Sat Dec 20 05:33:09 2014  relations with 5 large ideals: 89423
Sat Dec 20 05:33:09 2014  relations with 6 large ideals: 78050
Sat Dec 20 05:33:09 2014  relations with 7+ large ideals: 48856
Sat Dec 20 05:33:09 2014  commencing 2-way merge
Sat Dec 20 05:33:09 2014  reduce to 266248 relation sets and 237723 unique ideals
Sat Dec 20 05:33:09 2014  commencing full merge
Sat Dec 20 05:33:12 2014  memory use: 27.0 MB
Sat Dec 20 05:33:12 2014  found 122364 cycles, need 117923
Sat Dec 20 05:33:12 2014  weight of 117923 cycles is about 8293809 (70.33/cycle)
Sat Dec 20 05:33:12 2014  distribution of cycle lengths:
Sat Dec 20 05:33:12 2014  1 relations: 6476
Sat Dec 20 05:33:12 2014  2 relations: 10927
Sat Dec 20 05:33:12 2014  3 relations: 12996
Sat Dec 20 05:33:12 2014  4 relations: 13007
Sat Dec 20 05:33:12 2014  5 relations: 12449
Sat Dec 20 05:33:12 2014  6 relations: 11369
Sat Dec 20 05:33:12 2014  7 relations: 9840
Sat Dec 20 05:33:12 2014  8 relations: 8459
Sat Dec 20 05:33:12 2014  9 relations: 7001
Sat Dec 20 05:33:12 2014  10+ relations: 25399
Sat Dec 20 05:33:12 2014  heaviest cycle: 20 relations
Sat Dec 20 05:33:12 2014  commencing cycle optimization
Sat Dec 20 05:33:13 2014  start with 766278 relations
Sat Dec 20 05:33:14 2014  pruned 45088 relations
Sat Dec 20 05:33:14 2014  memory use: 20.7 MB
Sat Dec 20 05:33:14 2014  distribution of cycle lengths:
Sat Dec 20 05:33:14 2014  1 relations: 6476
Sat Dec 20 05:33:14 2014  2 relations: 11343
Sat Dec 20 05:33:14 2014  3 relations: 14003
Sat Dec 20 05:33:14 2014  4 relations: 14044
Sat Dec 20 05:33:14 2014  5 relations: 13449
Sat Dec 20 05:33:14 2014  6 relations: 12134
Sat Dec 20 05:33:14 2014  7 relations: 10176
Sat Dec 20 05:33:14 2014  8 relations: 8558
Sat Dec 20 05:33:14 2014  9 relations: 6863
Sat Dec 20 05:33:14 2014  10+ relations: 20877
Sat Dec 20 05:33:14 2014  heaviest cycle: 20 relations
Sat Dec 20 05:33:14 2014  RelProcTime: 71
Sat Dec 20 05:33:14 2014  
Sat Dec 20 05:33:14 2014  commencing linear algebra
Sat Dec 20 05:33:14 2014  read 117923 cycles
Sat Dec 20 05:33:14 2014  cycles contain 301804 unique relations
Sat Dec 20 05:33:19 2014  read 301804 relations
Sat Dec 20 05:33:19 2014  using 20 quadratic characters above 66325902
Sat Dec 20 05:33:21 2014  building initial matrix
Sat Dec 20 05:33:24 2014  memory use: 37.8 MB
Sat Dec 20 05:33:24 2014  read 117923 cycles
Sat Dec 20 05:33:24 2014  matrix is 117748 x 117923 (34.0 MB) with weight 10142781 (86.01/col)
Sat Dec 20 05:33:24 2014  sparse part has weight 7619200 (64.61/col)
Sat Dec 20 05:33:25 2014  filtering completed in 2 passes
Sat Dec 20 05:33:25 2014  matrix is 117684 x 117862 (34.0 MB) with weight 10138862 (86.02/col)
Sat Dec 20 05:33:25 2014  sparse part has weight 7616647 (64.62/col)
Sat Dec 20 05:33:25 2014  matrix starts at (0, 0)
Sat Dec 20 05:33:25 2014  matrix is 117684 x 117862 (34.0 MB) with weight 10138862 (86.02/col)
Sat Dec 20 05:33:25 2014  sparse part has weight 7616647 (64.62/col)
Sat Dec 20 05:33:25 2014  saving the first 48 matrix rows for later
Sat Dec 20 05:33:25 2014  matrix includes 64 packed rows
Sat Dec 20 05:33:25 2014  matrix is 117636 x 117862 (31.8 MB) with weight 7935546 (67.33/col)
Sat Dec 20 05:33:25 2014  sparse part has weight 7145940 (60.63/col)
Sat Dec 20 05:33:25 2014  using block size 47054 for processor cache size 8192 kB
Sat Dec 20 05:33:26 2014  commencing Lanczos iteration
Sat Dec 20 05:33:26 2014  memory use: 23.6 MB
Sat Dec 20 05:33:35 2014  linear algebra at 10.3%, ETA 0h 1m
Sat Dec 20 05:34:44 2014  lanczos halted after 1862 iterations (dim = 117636)
Sat Dec 20 05:34:44 2014  recovered 39 nontrivial dependencies
Sat Dec 20 05:34:44 2014  BLanczosTime: 90
Sat Dec 20 05:34:44 2014  
Sat Dec 20 05:34:44 2014  commencing square root phase
Sat Dec 20 05:34:44 2014  reading relations for dependency 1
Sat Dec 20 05:34:44 2014  read 58710 cycles
Sat Dec 20 05:34:44 2014  cycles contain 150650 unique relations
Sat Dec 20 05:34:49 2014  read 150650 relations
Sat Dec 20 05:34:50 2014  multiplying 150650 relations
Sat Dec 20 05:34:54 2014  multiply complete, coefficients have about 4.72 million bits
Sat Dec 20 05:34:54 2014  initial square root is modulo 270031
Sat Dec 20 05:34:59 2014  GCD is 1, no factor found
Sat Dec 20 05:34:59 2014  reading relations for dependency 2
Sat Dec 20 05:34:59 2014  read 58860 cycles
Sat Dec 20 05:35:00 2014  cycles contain 150636 unique relations
Sat Dec 20 05:35:04 2014  read 150636 relations
Sat Dec 20 05:35:04 2014  multiplying 150636 relations
Sat Dec 20 05:35:09 2014  multiply complete, coefficients have about 4.72 million bits
Sat Dec 20 05:35:09 2014  initial square root is modulo 270031
Sat Dec 20 05:35:15 2014  sqrtTime: 31
--
n: 6678037383611001719295399998993776246914310224568214650299997320349981304455302376039716401483872171416679754676767
m: 10000000000000000000000000
deg: 5
c5: 9400
c0: -1
skew: 0.16
# Murphy_E = 7.891e-09
type: snfs
lss: 1
rlim: 990000
alim: 990000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
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 18:01:25 UTC 2014 年 12 月 20 日 (土) 3 時 1 分 25 秒 (日本時間)

94×10132-13

c118

name 名前KTakahashi
date 日付December 19, 2014 14:36:56 UTC 2014 年 12 月 19 日 (金) 23 時 36 分 56 秒 (日本時間)
composite number 合成数
2203895146485932835906072017929940766143098543333017102807951520464132693698440130293750665203237862332427207575960503<118>
prime factors 素因数
49090859034043703986012222321<29>
262094979578675862735448458558127<33>
171289836383486129818799043182926827324408263935693916809<57>
factorization results 素因数分解の結果
Input number is 2203895146485932835906072017929940766143098543333017102807951520464132693698440130293750665203237862332427207575960503 (118 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3477474155
Step 1 took 3088ms
Step 2 took 1857ms
********** Factor found in step 2: 49090859034043703986012222321
Found probable prime factor of 29 digits: 49090859034043703986012222321
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1112016424
Step 1 took 2199ms
Step 2 took 1170ms
********** Factor found in step 2: 262094979578675862735448458558127
Found probable prime factor of 33 digits: 262094979578675862735448458558127
Probable prime cofactor 171289836383486129818799043182926827324408263935693916809 has 57 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)

94×10135-13

c122

name 名前Cyp
date 日付December 20, 2014 15:42:31 UTC 2014 年 12 月 21 日 (日) 0 時 42 分 31 秒 (日本時間)
composite number 合成数
68194767058257657332559656022039340857944185492698224421322010210576301483973487660350426162495594090756058883343762913281<122>
prime factors 素因数
67144094633612675191774032738698875486466029<44>
1015648024303227557148238755591912800223468996974670513551776451086039614332389<79>
factorization results 素因数分解の結果
12/20/14 15:51:13 v1.34.3, 
12/20/14 15:51:13 v1.34.3, ****************************
12/20/14 15:51:13 v1.34.3, Starting factorization of 68194767058257657332559656022039340857944185492698224421322010210576301483973487660350426162495594090756058883343762913281
12/20/14 15:51:13 v1.34.3, using pretesting plan: none
12/20/14 15:51:13 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/20/14 15:51:13 v1.34.3, ****************************
12/20/14 15:51:13 v1.34.3, nfs: commencing nfs on c122: 68194767058257657332559656022039340857944185492698224421322010210576301483973487660350426162495594090756058883343762913281
12/20/14 15:51:13 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/20/14 15:51:13 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 15:52:46 v1.34.3, nfs: commencing lattice sieving with 8 threads
[28 lines snipped]
12/20/14 16:33:35 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 16:35:15 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 16:36:59 v1.34.3, nfs: commencing msieve filtering
12/20/14 16:38:34 v1.34.3, nfs: commencing msieve linear algebra
12/20/14 16:42:09 v1.34.3, nfs: commencing msieve sqrt
12/20/14 16:42:30 v1.34.3, prp44 = 67144094633612675191774032738698875486466029
12/20/14 16:42:30 v1.34.3, prp79 = 1015648024303227557148238755591912800223468996974670513551776451086039614332389
12/20/14 16:42:30 v1.34.3, NFS elapsed time = 3077.4870 seconds.
12/20/14 16:42:30 v1.34.3, 
12/20/14 16:42:30 v1.34.3, 
12/20/14 16:42:30 v1.34.3, Total factoring time = 3077.4882 seconds
--
Sat Dec 20 16:36:59 2014  
Sat Dec 20 16:36:59 2014  commencing relation filtering
Sat Dec 20 16:36:59 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 16:36:59 2014  commencing duplicate removal, pass 1
Sat Dec 20 16:37:22 2014  found 565657 hash collisions in 4490355 relations
Sat Dec 20 16:37:29 2014  added 176721 free relations
Sat Dec 20 16:37:29 2014  commencing duplicate removal, pass 2
Sat Dec 20 16:37:36 2014  found 382545 duplicates and 4284531 unique relations
Sat Dec 20 16:37:36 2014  memory use: 20.6 MB
Sat Dec 20 16:37:36 2014  reading ideals above 100000
Sat Dec 20 16:37:36 2014  commencing singleton removal, initial pass
Sat Dec 20 16:38:15 2014  memory use: 94.1 MB
Sat Dec 20 16:38:15 2014  reading all ideals from disk
Sat Dec 20 16:38:15 2014  memory use: 131.3 MB
Sat Dec 20 16:38:15 2014  keeping 4351732 ideals with weight <= 200, target excess is 22603
Sat Dec 20 16:38:16 2014  commencing in-memory singleton removal
Sat Dec 20 16:38:16 2014  begin with 4284531 relations and 4351732 unique ideals
Sat Dec 20 16:38:19 2014  reduce to 2033959 relations and 1502820 ideals in 10 passes
Sat Dec 20 16:38:19 2014  max relations containing the same ideal: 125
Sat Dec 20 16:38:21 2014  removing 691150 relations and 438690 ideals in 252460 cliques
Sat Dec 20 16:38:21 2014  commencing in-memory singleton removal
Sat Dec 20 16:38:21 2014  begin with 1342809 relations and 1502820 unique ideals
Sat Dec 20 16:38:22 2014  reduce to 1241649 relations and 949807 ideals in 8 passes
Sat Dec 20 16:38:22 2014  max relations containing the same ideal: 90
Sat Dec 20 16:38:23 2014  removing 592461 relations and 341636 ideals in 250825 cliques
Sat Dec 20 16:38:23 2014  commencing in-memory singleton removal
Sat Dec 20 16:38:23 2014  begin with 649188 relations and 949807 unique ideals
Sat Dec 20 16:38:24 2014  reduce to 569137 relations and 517463 ideals in 11 passes
Sat Dec 20 16:38:24 2014  max relations containing the same ideal: 48
Sat Dec 20 16:38:24 2014  removing 90024 relations and 64570 ideals in 25454 cliques
Sat Dec 20 16:38:24 2014  commencing in-memory singleton removal
Sat Dec 20 16:38:24 2014  begin with 479113 relations and 517463 unique ideals
Sat Dec 20 16:38:25 2014  reduce to 465412 relations and 438476 ideals in 8 passes
Sat Dec 20 16:38:25 2014  max relations containing the same ideal: 43
Sat Dec 20 16:38:25 2014  relations with 0 large ideals: 530
Sat Dec 20 16:38:25 2014  relations with 1 large ideals: 364
Sat Dec 20 16:38:25 2014  relations with 2 large ideals: 4451
Sat Dec 20 16:38:25 2014  relations with 3 large ideals: 24948
Sat Dec 20 16:38:25 2014  relations with 4 large ideals: 73760
Sat Dec 20 16:38:25 2014  relations with 5 large ideals: 124872
Sat Dec 20 16:38:25 2014  relations with 6 large ideals: 132176
Sat Dec 20 16:38:25 2014  relations with 7+ large ideals: 104311
Sat Dec 20 16:38:25 2014  commencing 2-way merge
Sat Dec 20 16:38:25 2014  reduce to 336702 relation sets and 309766 unique ideals
Sat Dec 20 16:38:25 2014  commencing full merge
Sat Dec 20 16:38:31 2014  memory use: 37.8 MB
Sat Dec 20 16:38:31 2014  found 159676 cycles, need 155966
Sat Dec 20 16:38:31 2014  weight of 155966 cycles is about 10947381 (70.19/cycle)
Sat Dec 20 16:38:31 2014  distribution of cycle lengths:
Sat Dec 20 16:38:31 2014  1 relations: 11495
Sat Dec 20 16:38:31 2014  2 relations: 14767
Sat Dec 20 16:38:31 2014  3 relations: 16252
Sat Dec 20 16:38:31 2014  4 relations: 15867
Sat Dec 20 16:38:31 2014  5 relations: 15147
Sat Dec 20 16:38:31 2014  6 relations: 13631
Sat Dec 20 16:38:31 2014  7 relations: 12297
Sat Dec 20 16:38:31 2014  8 relations: 10768
Sat Dec 20 16:38:31 2014  9 relations: 9364
Sat Dec 20 16:38:31 2014  10+ relations: 36378
Sat Dec 20 16:38:31 2014  heaviest cycle: 21 relations
Sat Dec 20 16:38:31 2014  commencing cycle optimization
Sat Dec 20 16:38:32 2014  start with 1032606 relations
Sat Dec 20 16:38:34 2014  pruned 44805 relations
Sat Dec 20 16:38:34 2014  memory use: 29.5 MB
Sat Dec 20 16:38:34 2014  distribution of cycle lengths:
Sat Dec 20 16:38:34 2014  1 relations: 11495
Sat Dec 20 16:38:34 2014  2 relations: 15200
Sat Dec 20 16:38:34 2014  3 relations: 17214
Sat Dec 20 16:38:34 2014  4 relations: 16627
Sat Dec 20 16:38:34 2014  5 relations: 15860
Sat Dec 20 16:38:34 2014  6 relations: 14225
Sat Dec 20 16:38:34 2014  7 relations: 12728
Sat Dec 20 16:38:34 2014  8 relations: 10961
Sat Dec 20 16:38:34 2014  9 relations: 9487
Sat Dec 20 16:38:34 2014  10+ relations: 32169
Sat Dec 20 16:38:34 2014  heaviest cycle: 21 relations
Sat Dec 20 16:38:34 2014  RelProcTime: 95
Sat Dec 20 16:38:34 2014  
Sat Dec 20 16:38:34 2014  commencing linear algebra
Sat Dec 20 16:38:34 2014  read 155966 cycles
Sat Dec 20 16:38:34 2014  cycles contain 447820 unique relations
Sat Dec 20 16:38:41 2014  read 447820 relations
Sat Dec 20 16:38:42 2014  using 20 quadratic characters above 67081500
Sat Dec 20 16:38:44 2014  building initial matrix
Sat Dec 20 16:38:51 2014  memory use: 54.6 MB
Sat Dec 20 16:38:51 2014  read 155966 cycles
Sat Dec 20 16:38:51 2014  matrix is 155792 x 155966 (45.6 MB) with weight 13980894 (89.64/col)
Sat Dec 20 16:38:51 2014  sparse part has weight 10243377 (65.68/col)
Sat Dec 20 16:38:52 2014  filtering completed in 2 passes
Sat Dec 20 16:38:52 2014  matrix is 155728 x 155904 (45.6 MB) with weight 13977777 (89.66/col)
Sat Dec 20 16:38:52 2014  sparse part has weight 10241826 (65.69/col)
Sat Dec 20 16:38:52 2014  matrix starts at (0, 0)
Sat Dec 20 16:38:52 2014  matrix is 155728 x 155904 (45.6 MB) with weight 13977777 (89.66/col)
Sat Dec 20 16:38:52 2014  sparse part has weight 10241826 (65.69/col)
Sat Dec 20 16:38:52 2014  saving the first 48 matrix rows for later
Sat Dec 20 16:38:52 2014  matrix includes 64 packed rows
Sat Dec 20 16:38:52 2014  matrix is 155680 x 155904 (43.2 MB) with weight 10927019 (70.09/col)
Sat Dec 20 16:38:52 2014  sparse part has weight 9752903 (62.56/col)
Sat Dec 20 16:38:52 2014  using block size 62272 for processor cache size 8192 kB
Sat Dec 20 16:38:53 2014  commencing Lanczos iteration
Sat Dec 20 16:38:53 2014  memory use: 32.5 MB
Sat Dec 20 16:39:03 2014  linear algebra at 7.8%, ETA 0h 1m
Sat Dec 20 16:42:08 2014  lanczos halted after 2463 iterations (dim = 155678)
Sat Dec 20 16:42:09 2014  recovered 36 nontrivial dependencies
Sat Dec 20 16:42:09 2014  BLanczosTime: 215
Sat Dec 20 16:42:09 2014  
Sat Dec 20 16:42:09 2014  commencing square root phase
Sat Dec 20 16:42:09 2014  reading relations for dependency 1
Sat Dec 20 16:42:09 2014  read 77766 cycles
Sat Dec 20 16:42:09 2014  cycles contain 223476 unique relations
Sat Dec 20 16:42:14 2014  read 223476 relations
Sat Dec 20 16:42:15 2014  multiplying 223476 relations
Sat Dec 20 16:42:21 2014  multiply complete, coefficients have about 5.71 million bits
Sat Dec 20 16:42:21 2014  initial square root is modulo 3728561
Sat Dec 20 16:42:30 2014  sqrtTime: 21
--
n: 68194767058257657332559656022039340857944185492698224421322010210576301483973487660350426162495594090756058883343762913281
m: 1000000000000000000000000000
deg: 5
c5: 94
c0: -1
skew: 0.40
# Murphy_E = 5.289e-09
type: snfs
lss: 1
rlim: 1340000
alim: 1340000
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 / 764Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e650 / 2318Pierre JammesDecember 20, 2014 08:28:28 UTC 2014 年 12 月 20 日 (土) 17 時 28 分 28 秒 (日本時間)

94×10137-13

c109

name 名前KTakahashi
date 日付December 19, 2014 15:00:36 UTC 2014 年 12 月 20 日 (土) 0 時 0 分 36 秒 (日本時間)
composite number 合成数
7927201736888424904567518095153855945094772125910637331652519284406906140668677227486639286102926197279697539<109>
prime factors 素因数
6779117476876223994380121201664373<34>
1169356005988736920089874262247931142322887123815340732943856476813966091543<76>
factorization results 素因数分解の結果
Input number is 7927201736888424904567518095153855945094772125910637331652519284406906140668677227486639286102926197279697539 (109 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4193982470
Step 1 took 2995ms
Step 2 took 1950ms
********** Factor found in step 2: 6779117476876223994380121201664373
Found probable prime factor of 34 digits: 6779117476876223994380121201664373
Probable prime cofactor 1169356005988736920089874262247931142322887123815340732943856476813966091543 has 76 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)

94×10140-13

c110

name 名前Jo Yeong Uk
date 日付December 21, 2014 11:40:03 UTC 2014 年 12 月 21 日 (日) 20 時 40 分 3 秒 (日本時間)
composite number 合成数
31094843407806351849889752637139949232488711890291016047002445402315188049285026184910533651386395962651177207<110>
prime factors 素因数
2613892360743667634814706875574661403781651<43>
11895992304350163596308040720476829094995933710299795519246866758157<68>
factorization results 素因数分解の結果
Number: 31333_140
N=31094843407806351849889752637139949232488711890291016047002445402315188049285026184910533651386395962651177207
  ( 110 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=2613892360743667634814706875574661403781651
 r2=11895992304350163596308040720476829094995933710299795519246866758157
Version: 
Total time: 1.76 hours.
Scaled time: 9.19 units (timescale=5.223).
Factorization parameters were as follows:
n: 31094843407806351849889752637139949232488711890291016047002445402315188049285026184910533651386395962651177207
m: 10000000000000000000000000000
deg: 5
c5: 94
c0: -1
skew: 0.40
# Murphy_E = 3.456e-09
type: snfs
lss: 1
rlim: 1500000
alim: 1500000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [750000, 1425001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 3716713
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 228322 x 228570
Total sieving time: 1.44 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,141,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,48,48,2.3,2.3,25000
total time: 1.76 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.88 BogoMIPS (lpj=3399941)
Total of 12 processors activated (81598.58 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 19, 2014 15:01:46 UTC 2014 年 12 月 20 日 (土) 0 時 1 分 46 秒 (日本時間)

94×10142-13

c110

name 名前Cyp
date 日付December 21, 2014 16:17:48 UTC 2014 年 12 月 22 日 (月) 1 時 17 分 48 秒 (日本時間)
composite number 合成数
57531071559496610474938032833917720904862074581456218993220246128531552625172996739636901756655185090392086101<110>
prime factors 素因数
11608570388211044492647918855581829012944215383<47>
4955913573812814633479721897293592536401364950572266374675165747<64>
factorization results 素因数分解の結果
12/21/14 14:41:01 v1.34.3, 
12/21/14 14:41:01 v1.34.3, ****************************
12/21/14 14:41:01 v1.34.3, Starting factorization of 57531071559496610474938032833917720904862074581456218993220246128531552625172996739636901756655185090392086101
12/21/14 14:41:01 v1.34.3, using pretesting plan: none
12/21/14 14:41:01 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/21/14 14:41:01 v1.34.3, ****************************
12/21/14 14:41:01 v1.34.3, nfs: commencing nfs on c110: 57531071559496610474938032833917720904862074581456218993220246128531552625172996739636901756655185090392086101
12/21/14 14:41:01 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/21/14 14:41:01 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 14:41:31 v1.34.3, nfs: commencing lattice sieving with 8 threads
[219 lines snipped]
12/21/14 16:59:41 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 17:00:22 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 17:01:11 v1.34.3, nfs: commencing msieve filtering
12/21/14 17:03:21 v1.34.3, nfs: commencing msieve linear algebra
12/21/14 17:11:43 v1.34.3, nfs: commencing msieve sqrt
12/21/14 17:17:47 v1.34.3, prp64 = 4955913573812814633479721897293592536401364950572266374675165747
12/21/14 17:17:47 v1.34.3, prp47 = 11608570388211044492647918855581829012944215383
12/21/14 17:17:47 v1.34.3, NFS elapsed time = 9406.6204 seconds.
12/21/14 17:17:47 v1.34.3, 
12/21/14 17:17:47 v1.34.3, 
12/21/14 17:17:47 v1.34.3, Total factoring time = 9406.6212 seconds
--
Sun Dec 21 17:01:11 2014  
Sun Dec 21 17:01:11 2014  commencing relation filtering
Sun Dec 21 17:01:11 2014  estimated available RAM is 15987.3 MB
Sun Dec 21 17:01:11 2014  commencing duplicate removal, pass 1
Sun Dec 21 17:01:54 2014  found 827049 hash collisions in 4482459 relations
Sun Dec 21 17:02:08 2014  added 178842 free relations
Sun Dec 21 17:02:08 2014  commencing duplicate removal, pass 2
Sun Dec 21 17:02:18 2014  found 744291 duplicates and 3917010 unique relations
Sun Dec 21 17:02:18 2014  memory use: 20.6 MB
Sun Dec 21 17:02:18 2014  reading ideals above 100000
Sun Dec 21 17:02:18 2014  commencing singleton removal, initial pass
Sun Dec 21 17:02:58 2014  memory use: 94.1 MB
Sun Dec 21 17:02:58 2014  reading all ideals from disk
Sun Dec 21 17:02:58 2014  memory use: 123.5 MB
Sun Dec 21 17:02:58 2014  keeping 4532631 ideals with weight <= 200, target excess is 19994
Sun Dec 21 17:02:58 2014  commencing in-memory singleton removal
Sun Dec 21 17:02:59 2014  begin with 3917010 relations and 4532631 unique ideals
Sun Dec 21 17:03:01 2014  reduce to 1409080 relations and 1332976 ideals in 13 passes
Sun Dec 21 17:03:01 2014  max relations containing the same ideal: 97
Sun Dec 21 17:03:01 2014  removing 181918 relations and 155463 ideals in 26455 cliques
Sun Dec 21 17:03:01 2014  commencing in-memory singleton removal
Sun Dec 21 17:03:01 2014  begin with 1227162 relations and 1332976 unique ideals
Sun Dec 21 17:03:02 2014  reduce to 1210696 relations and 1160638 ideals in 7 passes
Sun Dec 21 17:03:02 2014  max relations containing the same ideal: 90
Sun Dec 21 17:03:02 2014  removing 136523 relations and 110068 ideals in 26455 cliques
Sun Dec 21 17:03:02 2014  commencing in-memory singleton removal
Sun Dec 21 17:03:03 2014  begin with 1074173 relations and 1160638 unique ideals
Sun Dec 21 17:03:03 2014  reduce to 1064035 relations and 1040208 ideals in 6 passes
Sun Dec 21 17:03:03 2014  max relations containing the same ideal: 85
Sun Dec 21 17:03:04 2014  relations with 0 large ideals: 466
Sun Dec 21 17:03:04 2014  relations with 1 large ideals: 131
Sun Dec 21 17:03:04 2014  relations with 2 large ideals: 2755
Sun Dec 21 17:03:04 2014  relations with 3 large ideals: 22412
Sun Dec 21 17:03:04 2014  relations with 4 large ideals: 94141
Sun Dec 21 17:03:04 2014  relations with 5 large ideals: 224769
Sun Dec 21 17:03:04 2014  relations with 6 large ideals: 325030
Sun Dec 21 17:03:04 2014  relations with 7+ large ideals: 394331
Sun Dec 21 17:03:04 2014  commencing 2-way merge
Sun Dec 21 17:03:04 2014  reduce to 664102 relation sets and 640275 unique ideals
Sun Dec 21 17:03:04 2014  commencing full merge
Sun Dec 21 17:03:16 2014  memory use: 81.3 MB
Sun Dec 21 17:03:16 2014  found 333549 cycles, need 330475
Sun Dec 21 17:03:16 2014  weight of 330475 cycles is about 23501000 (71.11/cycle)
Sun Dec 21 17:03:16 2014  distribution of cycle lengths:
Sun Dec 21 17:03:16 2014  1 relations: 24245
Sun Dec 21 17:03:16 2014  2 relations: 33618
Sun Dec 21 17:03:16 2014  3 relations: 36128
Sun Dec 21 17:03:16 2014  4 relations: 33964
Sun Dec 21 17:03:16 2014  5 relations: 31534
Sun Dec 21 17:03:16 2014  6 relations: 28089
Sun Dec 21 17:03:16 2014  7 relations: 24544
Sun Dec 21 17:03:16 2014  8 relations: 21430
Sun Dec 21 17:03:16 2014  9 relations: 18610
Sun Dec 21 17:03:16 2014  10+ relations: 78313
Sun Dec 21 17:03:16 2014  heaviest cycle: 24 relations
Sun Dec 21 17:03:16 2014  commencing cycle optimization
Sun Dec 21 17:03:17 2014  start with 2200392 relations
Sun Dec 21 17:03:21 2014  pruned 62301 relations
Sun Dec 21 17:03:21 2014  memory use: 66.7 MB
Sun Dec 21 17:03:21 2014  distribution of cycle lengths:
Sun Dec 21 17:03:21 2014  1 relations: 24245
Sun Dec 21 17:03:21 2014  2 relations: 34284
Sun Dec 21 17:03:21 2014  3 relations: 37440
Sun Dec 21 17:03:21 2014  4 relations: 34847
Sun Dec 21 17:03:21 2014  5 relations: 32537
Sun Dec 21 17:03:21 2014  6 relations: 28710
Sun Dec 21 17:03:21 2014  7 relations: 25003
Sun Dec 21 17:03:21 2014  8 relations: 21779
Sun Dec 21 17:03:21 2014  9 relations: 18614
Sun Dec 21 17:03:21 2014  10+ relations: 73016
Sun Dec 21 17:03:21 2014  heaviest cycle: 24 relations
Sun Dec 21 17:03:21 2014  RelProcTime: 130
Sun Dec 21 17:03:21 2014  
Sun Dec 21 17:03:21 2014  commencing linear algebra
Sun Dec 21 17:03:22 2014  read 330475 cycles
Sun Dec 21 17:03:22 2014  cycles contain 1043698 unique relations
Sun Dec 21 17:03:31 2014  read 1043698 relations
Sun Dec 21 17:03:32 2014  using 20 quadratic characters above 67108838
Sun Dec 21 17:03:39 2014  building initial matrix
Sun Dec 21 17:04:03 2014  memory use: 127.0 MB
Sun Dec 21 17:04:03 2014  read 330475 cycles
Sun Dec 21 17:04:03 2014  matrix is 330320 x 330475 (99.6 MB) with weight 29496808 (89.26/col)
Sun Dec 21 17:04:03 2014  sparse part has weight 22480037 (68.02/col)
Sun Dec 21 17:04:07 2014  filtering completed in 2 passes
Sun Dec 21 17:04:07 2014  matrix is 330219 x 330388 (99.6 MB) with weight 29493478 (89.27/col)
Sun Dec 21 17:04:07 2014  sparse part has weight 22478593 (68.04/col)
Sun Dec 21 17:04:09 2014  matrix starts at (0, 0)
Sun Dec 21 17:04:09 2014  matrix is 330219 x 330388 (99.6 MB) with weight 29493478 (89.27/col)
Sun Dec 21 17:04:09 2014  sparse part has weight 22478593 (68.04/col)
Sun Dec 21 17:04:09 2014  saving the first 48 matrix rows for later
Sun Dec 21 17:04:09 2014  matrix includes 64 packed rows
Sun Dec 21 17:04:09 2014  matrix is 330171 x 330388 (93.1 MB) with weight 23354783 (70.69/col)
Sun Dec 21 17:04:09 2014  sparse part has weight 21095809 (63.85/col)
Sun Dec 21 17:04:09 2014  using block size 65536 for processor cache size 8192 kB
Sun Dec 21 17:04:11 2014  commencing Lanczos iteration (8 threads)
Sun Dec 21 17:04:11 2014  memory use: 88.8 MB
Sun Dec 21 17:04:34 2014  linear algebra at 3.7%, ETA 0h10m
Sun Dec 21 17:11:43 2014  lanczos halted after 5223 iterations (dim = 330167)
Sun Dec 21 17:11:43 2014  recovered 39 nontrivial dependencies
Sun Dec 21 17:11:43 2014  BLanczosTime: 502
Sun Dec 21 17:11:43 2014  
Sun Dec 21 17:11:43 2014  commencing square root phase
Sun Dec 21 17:11:43 2014  reading relations for dependency 1
Sun Dec 21 17:11:43 2014  read 164399 cycles
Sun Dec 21 17:11:44 2014  cycles contain 520070 unique relations
Sun Dec 21 17:11:51 2014  read 520070 relations
Sun Dec 21 17:11:53 2014  multiplying 520070 relations
Sun Dec 21 17:12:14 2014  multiply complete, coefficients have about 16.25 million bits
Sun Dec 21 17:12:14 2014  initial square root is modulo 2165061491
Sun Dec 21 17:12:42 2014  GCD is N, no factor found
Sun Dec 21 17:12:42 2014  reading relations for dependency 2
Sun Dec 21 17:12:42 2014  read 165072 cycles
Sun Dec 21 17:12:43 2014  cycles contain 521564 unique relations
Sun Dec 21 17:12:50 2014  read 521564 relations
Sun Dec 21 17:12:52 2014  multiplying 521564 relations
Sun Dec 21 17:13:13 2014  multiply complete, coefficients have about 16.29 million bits
Sun Dec 21 17:13:13 2014  initial square root is modulo 2299333031
Sun Dec 21 17:13:41 2014  GCD is N, no factor found
Sun Dec 21 17:13:41 2014  reading relations for dependency 3
Sun Dec 21 17:13:41 2014  read 165334 cycles
Sun Dec 21 17:13:42 2014  cycles contain 522016 unique relations
Sun Dec 21 17:13:48 2014  read 522016 relations
Sun Dec 21 17:13:50 2014  multiplying 522016 relations
Sun Dec 21 17:14:11 2014  multiply complete, coefficients have about 16.31 million bits
Sun Dec 21 17:14:11 2014  initial square root is modulo 2342604721
Sun Dec 21 17:14:36 2014  GCD is N, no factor found
Sun Dec 21 17:14:36 2014  reading relations for dependency 4
Sun Dec 21 17:14:36 2014  read 165212 cycles
Sun Dec 21 17:14:36 2014  cycles contain 521654 unique relations
Sun Dec 21 17:14:43 2014  read 521654 relations
Sun Dec 21 17:14:45 2014  multiplying 521654 relations
Sun Dec 21 17:15:05 2014  multiply complete, coefficients have about 16.30 million bits
Sun Dec 21 17:15:05 2014  initial square root is modulo 2308753021
Sun Dec 21 17:15:29 2014  Newton iteration failed to converge
Sun Dec 21 17:15:29 2014  algebraic square root failed
Sun Dec 21 17:15:29 2014  reading relations for dependency 5
Sun Dec 21 17:15:29 2014  read 165559 cycles
Sun Dec 21 17:15:29 2014  cycles contain 522106 unique relations
Sun Dec 21 17:15:36 2014  read 522106 relations
Sun Dec 21 17:15:37 2014  multiplying 522106 relations
Sun Dec 21 17:15:57 2014  multiply complete, coefficients have about 16.31 million bits
Sun Dec 21 17:15:57 2014  initial square root is modulo 2351192471
Sun Dec 21 17:16:21 2014  Newton iteration failed to converge
Sun Dec 21 17:16:21 2014  algebraic square root failed
Sun Dec 21 17:16:21 2014  reading relations for dependency 6
Sun Dec 21 17:16:21 2014  read 165445 cycles
Sun Dec 21 17:16:21 2014  cycles contain 522926 unique relations
Sun Dec 21 17:16:27 2014  read 522926 relations
Sun Dec 21 17:16:29 2014  multiplying 522926 relations
Sun Dec 21 17:16:47 2014  multiply complete, coefficients have about 16.34 million bits
Sun Dec 21 17:16:48 2014  initial square root is modulo 2434800331
Sun Dec 21 17:17:10 2014  Newton iteration failed to converge
Sun Dec 21 17:17:10 2014  algebraic square root failed
Sun Dec 21 17:17:10 2014  reading relations for dependency 7
Sun Dec 21 17:17:10 2014  read 165084 cycles
Sun Dec 21 17:17:10 2014  cycles contain 520646 unique relations
Sun Dec 21 17:17:14 2014  read 520646 relations
Sun Dec 21 17:17:15 2014  multiplying 520646 relations
Sun Dec 21 17:17:25 2014  multiply complete, coefficients have about 16.26 million bits
Sun Dec 21 17:17:25 2014  initial square root is modulo 2211298601
Sun Dec 21 17:17:47 2014  sqrtTime: 364
--
n: 57531071559496610474938032833917720904862074581456218993220246128531552625172996739636901756655185090392086101
m: 10000000000000000000000000000
deg: 5
c5: 9400
c0: -1
skew: 0.16
# Murphy_E = 2.233e-09
type: snfs
lss: 1
rlim: 1760000
alim: 1760000
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
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 15:02:04 UTC 2014 年 12 月 20 日 (土) 0 時 2 分 4 秒 (日本時間)

94×10143-13

c102

name 名前Cyp
date 日付December 20, 2014 01:20:21 UTC 2014 年 12 月 20 日 (土) 10 時 20 分 21 秒 (日本時間)
composite number 合成数
134531854641749990281840377226431692135513689196283544587659942403794054003697928634179918917188026777<102>
prime factors 素因数
17973495572785206817005208105821778244666331649<47>
7485013368543238805404987361880101259421417742946123673<55>
factorization results 素因数分解の結果
12/20/14 00:53:20 v1.34.3, 
12/20/14 00:53:20 v1.34.3, ****************************
12/20/14 00:53:20 v1.34.3, Starting factorization of 134531854641749990281840377226431692135513689196283544587659942403794054003697928634179918917188026777
12/20/14 00:53:20 v1.34.3, using pretesting plan: none
12/20/14 00:53:20 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/20/14 00:53:20 v1.34.3, ****************************
12/20/14 00:53:20 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C102
12/20/14 00:53:20 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C102
12/20/14 00:53:20 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C102
12/20/14 00:53:20 v1.34.3, final ECM pretested depth: 0.00
12/20/14 00:53:20 v1.34.3, scheduler: switching to sieve method
12/20/14 00:53:20 v1.34.3, nfs: commencing nfs on c102: 134531854641749990281840377226431692135513689196283544587659942403794054003697928634179918917188026777
12/20/14 00:53:20 v1.34.3, nfs: commencing poly selection with 8 threads
12/20/14 00:53:20 v1.34.3, nfs: setting deadline of 176 seconds
12/20/14 00:57:01 v1.34.3, nfs: completed 8 ranges of size 250 in 221.4558 seconds
12/20/14 00:57:01 v1.34.3, nfs: best poly = # norm 6.071770e-14 alpha -5.237169 e 8.823e-09 rroots 0
12/20/14 00:57:01 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 01:00:28 v1.34.3, nfs: commencing lattice sieving with 8 threads
[14 lines snipped]
12/20/14 01:52:02 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 01:55:53 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 01:59:46 v1.34.3, nfs: commencing msieve filtering
12/20/14 02:01:54 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 02:04:55 v1.34.3, nfs: commencing msieve filtering
12/20/14 02:06:19 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 02:08:53 v1.34.3, nfs: commencing msieve filtering
12/20/14 02:10:22 v1.34.3, nfs: commencing msieve linear algebra
12/20/14 02:18:13 v1.34.3, nfs: commencing msieve sqrt
12/20/14 02:20:20 v1.34.3, prp55 = 7485013368543238805404987361880101259421417742946123673
12/20/14 02:20:20 v1.34.3, prp47 = 17973495572785206817005208105821778244666331649
12/20/14 02:20:20 v1.34.3, NFS elapsed time = 5220.1275 seconds.
12/20/14 02:20:20 v1.34.3, 
12/20/14 02:20:20 v1.34.3, 
12/20/14 02:20:20 v1.34.3, Total factoring time = 5220.1981 seconds
--
Sat Dec 20 01:59:46 2014  
Sat Dec 20 01:59:46 2014  commencing relation filtering
Sat Dec 20 01:59:46 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 01:59:46 2014  commencing duplicate removal, pass 1
Sat Dec 20 02:00:29 2014  found 438199 hash collisions in 4570031 relations
Sat Dec 20 02:00:39 2014  added 156547 free relations
Sat Dec 20 02:00:39 2014  commencing duplicate removal, pass 2
Sat Dec 20 02:00:47 2014  found 201693 duplicates and 4524885 unique relations
Sat Dec 20 02:00:47 2014  memory use: 20.6 MB
Sat Dec 20 02:00:47 2014  reading ideals above 100000
Sat Dec 20 02:00:47 2014  commencing singleton removal, initial pass
Sat Dec 20 02:01:46 2014  memory use: 172.2 MB
Sat Dec 20 02:01:46 2014  reading all ideals from disk
Sat Dec 20 02:01:46 2014  memory use: 142.7 MB
Sat Dec 20 02:01:46 2014  keeping 5373297 ideals with weight <= 200, target excess is 24885
Sat Dec 20 02:01:47 2014  commencing in-memory singleton removal
Sat Dec 20 02:01:47 2014  begin with 4524885 relations and 5373297 unique ideals
Sat Dec 20 02:01:53 2014  reduce to 1089058 relations and 1135352 ideals in 28 passes
Sat Dec 20 02:01:53 2014  max relations containing the same ideal: 74
Sat Dec 20 02:04:55 2014  
Sat Dec 20 02:04:55 2014  commencing relation filtering
Sat Dec 20 02:04:55 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 02:04:55 2014  commencing duplicate removal, pass 1
Sat Dec 20 02:05:25 2014  found 498740 hash collisions in 4967562 relations
Sat Dec 20 02:05:31 2014  added 1023 free relations
Sat Dec 20 02:05:31 2014  commencing duplicate removal, pass 2
Sat Dec 20 02:05:38 2014  found 221323 duplicates and 4747262 unique relations
Sat Dec 20 02:05:38 2014  memory use: 20.6 MB
Sat Dec 20 02:05:38 2014  reading ideals above 100000
Sat Dec 20 02:05:38 2014  commencing singleton removal, initial pass
Sat Dec 20 02:06:14 2014  memory use: 172.2 MB
Sat Dec 20 02:06:14 2014  reading all ideals from disk
Sat Dec 20 02:06:14 2014  memory use: 149.8 MB
Sat Dec 20 02:06:15 2014  keeping 5478841 ideals with weight <= 200, target excess is 26134
Sat Dec 20 02:06:15 2014  commencing in-memory singleton removal
Sat Dec 20 02:06:16 2014  begin with 4747262 relations and 5478841 unique ideals
Sat Dec 20 02:06:19 2014  reduce to 1387371 relations and 1374183 ideals in 21 passes
Sat Dec 20 02:06:19 2014  max relations containing the same ideal: 84
Sat Dec 20 02:08:53 2014  
Sat Dec 20 02:08:53 2014  commencing relation filtering
Sat Dec 20 02:08:53 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 02:08:53 2014  commencing duplicate removal, pass 1
Sat Dec 20 02:09:13 2014  found 545953 hash collisions in 5223870 relations
Sat Dec 20 02:09:16 2014  added 911 free relations
Sat Dec 20 02:09:16 2014  commencing duplicate removal, pass 2
Sat Dec 20 02:09:21 2014  found 243109 duplicates and 4981672 unique relations
Sat Dec 20 02:09:21 2014  memory use: 20.6 MB
Sat Dec 20 02:09:21 2014  reading ideals above 100000
Sat Dec 20 02:09:21 2014  commencing singleton removal, initial pass
Sat Dec 20 02:09:55 2014  memory use: 172.2 MB
Sat Dec 20 02:09:55 2014  reading all ideals from disk
Sat Dec 20 02:09:55 2014  memory use: 157.2 MB
Sat Dec 20 02:09:56 2014  keeping 5583582 ideals with weight <= 200, target excess is 27641
Sat Dec 20 02:09:56 2014  commencing in-memory singleton removal
Sat Dec 20 02:09:57 2014  begin with 4981672 relations and 5583582 unique ideals
Sat Dec 20 02:10:01 2014  reduce to 1691783 relations and 1604323 ideals in 20 passes
Sat Dec 20 02:10:01 2014  max relations containing the same ideal: 97
Sat Dec 20 02:10:02 2014  removing 264005 relations and 236307 ideals in 27698 cliques
Sat Dec 20 02:10:02 2014  commencing in-memory singleton removal
Sat Dec 20 02:10:02 2014  begin with 1427778 relations and 1604323 unique ideals
Sat Dec 20 02:10:04 2014  reduce to 1391101 relations and 1330482 ideals in 11 passes
Sat Dec 20 02:10:04 2014  max relations containing the same ideal: 87
Sat Dec 20 02:10:05 2014  removing 194752 relations and 167054 ideals in 27698 cliques
Sat Dec 20 02:10:05 2014  commencing in-memory singleton removal
Sat Dec 20 02:10:05 2014  begin with 1196349 relations and 1330482 unique ideals
Sat Dec 20 02:10:06 2014  reduce to 1171801 relations and 1138339 ideals in 11 passes
Sat Dec 20 02:10:06 2014  max relations containing the same ideal: 79
Sat Dec 20 02:10:07 2014  relations with 0 large ideals: 446
Sat Dec 20 02:10:07 2014  relations with 1 large ideals: 799
Sat Dec 20 02:10:07 2014  relations with 2 large ideals: 7627
Sat Dec 20 02:10:07 2014  relations with 3 large ideals: 44234
Sat Dec 20 02:10:07 2014  relations with 4 large ideals: 147784
Sat Dec 20 02:10:07 2014  relations with 5 large ideals: 306158
Sat Dec 20 02:10:07 2014  relations with 6 large ideals: 342497
Sat Dec 20 02:10:07 2014  relations with 7+ large ideals: 322256
Sat Dec 20 02:10:07 2014  commencing 2-way merge
Sat Dec 20 02:10:08 2014  reduce to 652656 relation sets and 619197 unique ideals
Sat Dec 20 02:10:08 2014  ignored 3 oversize relation sets
Sat Dec 20 02:10:08 2014  commencing full merge
Sat Dec 20 02:10:17 2014  memory use: 65.8 MB
Sat Dec 20 02:10:17 2014  found 309305 cycles, need 305397
Sat Dec 20 02:10:17 2014  weight of 305397 cycles is about 21443586 (70.22/cycle)
Sat Dec 20 02:10:17 2014  distribution of cycle lengths:
Sat Dec 20 02:10:17 2014  1 relations: 32905
Sat Dec 20 02:10:17 2014  2 relations: 31786
Sat Dec 20 02:10:17 2014  3 relations: 31665
Sat Dec 20 02:10:17 2014  4 relations: 28758
Sat Dec 20 02:10:17 2014  5 relations: 26490
Sat Dec 20 02:10:17 2014  6 relations: 23202
Sat Dec 20 02:10:17 2014  7 relations: 19973
Sat Dec 20 02:10:17 2014  8 relations: 18029
Sat Dec 20 02:10:17 2014  9 relations: 15613
Sat Dec 20 02:10:17 2014  10+ relations: 76976
Sat Dec 20 02:10:17 2014  heaviest cycle: 25 relations
Sat Dec 20 02:10:17 2014  commencing cycle optimization
Sat Dec 20 02:10:18 2014  start with 2053120 relations
Sat Dec 20 02:10:21 2014  pruned 44820 relations
Sat Dec 20 02:10:21 2014  memory use: 67.3 MB
Sat Dec 20 02:10:21 2014  distribution of cycle lengths:
Sat Dec 20 02:10:21 2014  1 relations: 32905
Sat Dec 20 02:10:21 2014  2 relations: 32395
Sat Dec 20 02:10:21 2014  3 relations: 32705
Sat Dec 20 02:10:21 2014  4 relations: 29363
Sat Dec 20 02:10:21 2014  5 relations: 27009
Sat Dec 20 02:10:21 2014  6 relations: 23569
Sat Dec 20 02:10:21 2014  7 relations: 20211
Sat Dec 20 02:10:21 2014  8 relations: 18155
Sat Dec 20 02:10:21 2014  9 relations: 15546
Sat Dec 20 02:10:21 2014  10+ relations: 73539
Sat Dec 20 02:10:21 2014  heaviest cycle: 25 relations
Sat Dec 20 02:10:21 2014  RelProcTime: 88
Sat Dec 20 02:10:22 2014  
Sat Dec 20 02:10:22 2014  commencing linear algebra
Sat Dec 20 02:10:22 2014  read 305397 cycles
Sat Dec 20 02:10:22 2014  cycles contain 1122670 unique relations
Sat Dec 20 02:10:30 2014  read 1122670 relations
Sat Dec 20 02:10:31 2014  using 20 quadratic characters above 67107290
Sat Dec 20 02:10:35 2014  building initial matrix
Sat Dec 20 02:10:46 2014  memory use: 135.4 MB
Sat Dec 20 02:10:46 2014  read 305397 cycles
Sat Dec 20 02:10:46 2014  matrix is 305217 x 305397 (91.5 MB) with weight 29225059 (95.70/col)
Sat Dec 20 02:10:46 2014  sparse part has weight 20621614 (67.52/col)
Sat Dec 20 02:10:49 2014  filtering completed in 2 passes
Sat Dec 20 02:10:49 2014  matrix is 304500 x 304680 (91.4 MB) with weight 29192072 (95.81/col)
Sat Dec 20 02:10:49 2014  sparse part has weight 20610129 (67.65/col)
Sat Dec 20 02:10:50 2014  matrix starts at (0, 0)
Sat Dec 20 02:10:50 2014  matrix is 304500 x 304680 (91.4 MB) with weight 29192072 (95.81/col)
Sat Dec 20 02:10:50 2014  sparse part has weight 20610129 (67.65/col)
Sat Dec 20 02:10:50 2014  saving the first 48 matrix rows for later
Sat Dec 20 02:10:50 2014  matrix includes 64 packed rows
Sat Dec 20 02:10:50 2014  matrix is 304452 x 304680 (88.0 MB) with weight 23103192 (75.83/col)
Sat Dec 20 02:10:50 2014  sparse part has weight 20026386 (65.73/col)
Sat Dec 20 02:10:50 2014  using block size 65536 for processor cache size 8192 kB
Sat Dec 20 02:10:51 2014  commencing Lanczos iteration (8 threads)
Sat Dec 20 02:10:51 2014  memory use: 83.1 MB
Sat Dec 20 02:11:03 2014  linear algebra at 4.0%, ETA 0h 4m
Sat Dec 20 02:18:12 2014  lanczos halted after 4816 iterations (dim = 304450)
Sat Dec 20 02:18:13 2014  recovered 33 nontrivial dependencies
Sat Dec 20 02:18:13 2014  BLanczosTime: 471
Sat Dec 20 02:18:13 2014  
Sat Dec 20 02:18:13 2014  commencing square root phase
Sat Dec 20 02:18:13 2014  reading relations for dependency 1
Sat Dec 20 02:18:13 2014  read 152270 cycles
Sat Dec 20 02:18:13 2014  cycles contain 560944 unique relations
Sat Dec 20 02:18:23 2014  read 560944 relations
Sat Dec 20 02:18:25 2014  multiplying 560944 relations
Sat Dec 20 02:18:49 2014  multiply complete, coefficients have about 23.45 million bits
Sat Dec 20 02:18:49 2014  initial square root is modulo 5421209
Sat Dec 20 02:19:22 2014  GCD is 1, no factor found
Sat Dec 20 02:19:22 2014  reading relations for dependency 2
Sat Dec 20 02:19:22 2014  read 152470 cycles
Sat Dec 20 02:19:22 2014  cycles contain 562894 unique relations
Sat Dec 20 02:19:29 2014  read 562894 relations
Sat Dec 20 02:19:31 2014  multiplying 562894 relations
Sat Dec 20 02:19:51 2014  multiply complete, coefficients have about 23.53 million bits
Sat Dec 20 02:19:51 2014  initial square root is modulo 5717183
Sat Dec 20 02:20:20 2014  sqrtTime: 127
--
n: 134531854641749990281840377226431692135513689196283544587659942403794054003697928634179918917188026777
skew: 2219401.36
c0: 7610745249491403884736625992
c1: -24241275665587653741454
c2: 19667323261561829
c3: 8067868626
c4: 1752
Y0: -2960145587348130533851063
Y1: 57344276329165
rlim: 2080000
alim: 2080000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
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 15:02:22 UTC 2014 年 12 月 20 日 (土) 0 時 2 分 22 秒 (日本時間)

94×10144-13

c107

name 名前Cyp
date 日付December 22, 2014 01:25:17 UTC 2014 年 12 月 22 日 (月) 10 時 25 分 17 秒 (日本時間)
composite number 合成数
15834812668491642206325242834647965022357806403070754951185587949481911868756942710317919732917675124436859<107>
prime factors 素因数
44375139420228403814431920236827731277697423<44>
356839727725415192653200010164694258525875238715690087706965333<63>
factorization results 素因数分解の結果
12/22/14 00:02:15 v1.34.3, 
12/22/14 00:02:15 v1.34.3, ****************************
12/22/14 00:02:15 v1.34.3, Starting factorization of 15834812668491642206325242834647965022357806403070754951185587949481911868756942710317919732917675124436859
12/22/14 00:02:15 v1.34.3, using pretesting plan: none
12/22/14 00:02:15 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/22/14 00:02:15 v1.34.3, ****************************
12/22/14 00:02:15 v1.34.3, nfs: commencing nfs on c107: 15834812668491642206325242834647965022357806403070754951185587949481911868756942710317919732917675124436859
12/22/14 00:02:15 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/22/14 00:02:15 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/22/14 00:02:29 v1.34.3, nfs: commencing lattice sieving with 8 threads
[279 lines snipped]
12/22/14 02:03:06 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/22/14 02:03:34 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/22/14 02:04:05 v1.34.3, nfs: commencing msieve filtering
12/22/14 02:05:14 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/22/14 02:05:44 v1.34.3, nfs: commencing lattice sieving with 8 threads
[13 lines snipped]
12/22/14 02:12:15 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/22/14 02:12:45 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/22/14 02:13:14 v1.34.3, nfs: commencing msieve filtering
12/22/14 02:14:50 v1.34.3, nfs: commencing msieve linear algebra
12/22/14 02:23:34 v1.34.3, nfs: commencing msieve sqrt
12/22/14 02:25:16 v1.34.3, prp63 = 356839727725415192653200010164694258525875238715690087706965333
12/22/14 02:25:16 v1.34.3, prp44 = 44375139420228403814431920236827731277697423
12/22/14 02:25:17 v1.34.3, NFS elapsed time = 8581.5314 seconds.
12/22/14 02:25:17 v1.34.3, 
12/22/14 02:25:17 v1.34.3, 
12/22/14 02:25:17 v1.34.3, Total factoring time = 8581.5322 seconds
--
Mon Dec 22 02:04:05 2014  
Mon Dec 22 02:04:05 2014  commencing relation filtering
Mon Dec 22 02:04:05 2014  estimated available RAM is 15987.3 MB
Mon Dec 22 02:04:05 2014  commencing duplicate removal, pass 1
Mon Dec 22 02:04:27 2014  found 823283 hash collisions in 4477961 relations
Mon Dec 22 02:04:35 2014  added 181344 free relations
Mon Dec 22 02:04:35 2014  commencing duplicate removal, pass 2
Mon Dec 22 02:04:40 2014  found 739542 duplicates and 3919763 unique relations
Mon Dec 22 02:04:40 2014  memory use: 20.6 MB
Mon Dec 22 02:04:40 2014  reading ideals above 100000
Mon Dec 22 02:04:40 2014  commencing singleton removal, initial pass
Mon Dec 22 02:05:11 2014  memory use: 94.1 MB
Mon Dec 22 02:05:11 2014  reading all ideals from disk
Mon Dec 22 02:05:11 2014  memory use: 125.2 MB
Mon Dec 22 02:05:11 2014  keeping 4643927 ideals with weight <= 200, target excess is 19828
Mon Dec 22 02:05:12 2014  commencing in-memory singleton removal
Mon Dec 22 02:05:12 2014  begin with 3919763 relations and 4643927 unique ideals
Mon Dec 22 02:05:14 2014  reduce to 1299959 relations and 1303068 ideals in 17 passes
Mon Dec 22 02:05:14 2014  max relations containing the same ideal: 93
Mon Dec 22 02:13:14 2014  
Mon Dec 22 02:13:14 2014  commencing relation filtering
Mon Dec 22 02:13:14 2014  estimated available RAM is 15987.3 MB
Mon Dec 22 02:13:14 2014  commencing duplicate removal, pass 1
Mon Dec 22 02:13:40 2014  found 902508 hash collisions in 4888398 relations
Mon Dec 22 02:13:47 2014  added 1317 free relations
Mon Dec 22 02:13:47 2014  commencing duplicate removal, pass 2
Mon Dec 22 02:13:53 2014  found 798404 duplicates and 4091311 unique relations
Mon Dec 22 02:13:53 2014  memory use: 22.6 MB
Mon Dec 22 02:13:53 2014  reading ideals above 100000
Mon Dec 22 02:13:53 2014  commencing singleton removal, initial pass
Mon Dec 22 02:14:24 2014  memory use: 94.1 MB
Mon Dec 22 02:14:25 2014  reading all ideals from disk
Mon Dec 22 02:14:25 2014  memory use: 130.7 MB
Mon Dec 22 02:14:25 2014  keeping 4731872 ideals with weight <= 200, target excess is 20412
Mon Dec 22 02:14:26 2014  commencing in-memory singleton removal
Mon Dec 22 02:14:26 2014  begin with 4091311 relations and 4731872 unique ideals
Mon Dec 22 02:14:28 2014  reduce to 1480085 relations and 1426902 ideals in 16 passes
Mon Dec 22 02:14:28 2014  max relations containing the same ideal: 100
Mon Dec 22 02:14:29 2014  removing 129006 relations and 114253 ideals in 14753 cliques
Mon Dec 22 02:14:29 2014  commencing in-memory singleton removal
Mon Dec 22 02:14:29 2014  begin with 1351079 relations and 1426902 unique ideals
Mon Dec 22 02:14:30 2014  reduce to 1343064 relations and 1304523 ideals in 7 passes
Mon Dec 22 02:14:30 2014  max relations containing the same ideal: 95
Mon Dec 22 02:14:30 2014  removing 94484 relations and 79731 ideals in 14753 cliques
Mon Dec 22 02:14:30 2014  commencing in-memory singleton removal
Mon Dec 22 02:14:30 2014  begin with 1248580 relations and 1304523 unique ideals
Mon Dec 22 02:14:31 2014  reduce to 1243964 relations and 1220125 ideals in 7 passes
Mon Dec 22 02:14:31 2014  max relations containing the same ideal: 89
Mon Dec 22 02:14:32 2014  relations with 0 large ideals: 460
Mon Dec 22 02:14:32 2014  relations with 1 large ideals: 131
Mon Dec 22 02:14:32 2014  relations with 2 large ideals: 2464
Mon Dec 22 02:14:32 2014  relations with 3 large ideals: 21255
Mon Dec 22 02:14:32 2014  relations with 4 large ideals: 94516
Mon Dec 22 02:14:32 2014  relations with 5 large ideals: 241908
Mon Dec 22 02:14:32 2014  relations with 6 large ideals: 377832
Mon Dec 22 02:14:32 2014  relations with 7+ large ideals: 505398
Mon Dec 22 02:14:32 2014  commencing 2-way merge
Mon Dec 22 02:14:32 2014  reduce to 765635 relation sets and 741796 unique ideals
Mon Dec 22 02:14:32 2014  commencing full merge
Mon Dec 22 02:14:45 2014  memory use: 94.0 MB
Mon Dec 22 02:14:45 2014  found 382460 cycles, need 379996
Mon Dec 22 02:14:45 2014  weight of 379996 cycles is about 26970151 (70.97/cycle)
Mon Dec 22 02:14:45 2014  distribution of cycle lengths:
Mon Dec 22 02:14:45 2014  1 relations: 30602
Mon Dec 22 02:14:45 2014  2 relations: 39703
Mon Dec 22 02:14:45 2014  3 relations: 42303
Mon Dec 22 02:14:45 2014  4 relations: 39253
Mon Dec 22 02:14:45 2014  5 relations: 35312
Mon Dec 22 02:14:45 2014  6 relations: 31496
Mon Dec 22 02:14:45 2014  7 relations: 27039
Mon Dec 22 02:14:45 2014  8 relations: 23109
Mon Dec 22 02:14:45 2014  9 relations: 19760
Mon Dec 22 02:14:45 2014  10+ relations: 91419
Mon Dec 22 02:14:45 2014  heaviest cycle: 26 relations
Mon Dec 22 02:14:45 2014  commencing cycle optimization
Mon Dec 22 02:14:45 2014  start with 2554628 relations
Mon Dec 22 02:14:49 2014  pruned 69820 relations
Mon Dec 22 02:14:49 2014  memory use: 77.7 MB
Mon Dec 22 02:14:49 2014  distribution of cycle lengths:
Mon Dec 22 02:14:49 2014  1 relations: 30602
Mon Dec 22 02:14:49 2014  2 relations: 40497
Mon Dec 22 02:14:49 2014  3 relations: 43845
Mon Dec 22 02:14:49 2014  4 relations: 40305
Mon Dec 22 02:14:49 2014  5 relations: 36396
Mon Dec 22 02:14:49 2014  6 relations: 31984
Mon Dec 22 02:14:49 2014  7 relations: 27396
Mon Dec 22 02:14:49 2014  8 relations: 23140
Mon Dec 22 02:14:49 2014  9 relations: 19751
Mon Dec 22 02:14:49 2014  10+ relations: 86080
Mon Dec 22 02:14:49 2014  heaviest cycle: 26 relations
Mon Dec 22 02:14:50 2014  RelProcTime: 96
Mon Dec 22 02:14:50 2014  
Mon Dec 22 02:14:50 2014  commencing linear algebra
Mon Dec 22 02:14:50 2014  read 379996 cycles
Mon Dec 22 02:14:50 2014  cycles contain 1224257 unique relations
Mon Dec 22 02:14:57 2014  read 1224257 relations
Mon Dec 22 02:14:58 2014  using 20 quadratic characters above 67107758
Mon Dec 22 02:15:03 2014  building initial matrix
Mon Dec 22 02:15:12 2014  memory use: 146.7 MB
Mon Dec 22 02:15:12 2014  read 379996 cycles
Mon Dec 22 02:15:12 2014  matrix is 379858 x 379996 (114.3 MB) with weight 34014713 (89.51/col)
Mon Dec 22 02:15:12 2014  sparse part has weight 25786541 (67.86/col)
Mon Dec 22 02:15:14 2014  filtering completed in 2 passes
Mon Dec 22 02:15:14 2014  matrix is 379703 x 379869 (114.3 MB) with weight 34009417 (89.53/col)
Mon Dec 22 02:15:14 2014  sparse part has weight 25784105 (67.88/col)
Mon Dec 22 02:15:15 2014  matrix starts at (0, 0)
Mon Dec 22 02:15:15 2014  matrix is 379703 x 379869 (114.3 MB) with weight 34009417 (89.53/col)
Mon Dec 22 02:15:15 2014  sparse part has weight 25784105 (67.88/col)
Mon Dec 22 02:15:15 2014  saving the first 48 matrix rows for later
Mon Dec 22 02:15:15 2014  matrix includes 64 packed rows
Mon Dec 22 02:15:15 2014  matrix is 379655 x 379869 (107.5 MB) with weight 26787781 (70.52/col)
Mon Dec 22 02:15:15 2014  sparse part has weight 24388704 (64.20/col)
Mon Dec 22 02:15:15 2014  using block size 65536 for processor cache size 8192 kB
Mon Dec 22 02:15:16 2014  commencing Lanczos iteration (8 threads)
Mon Dec 22 02:15:16 2014  memory use: 103.1 MB
Mon Dec 22 02:15:34 2014  linear algebra at 3.2%, ETA 0h 9m
Mon Dec 22 02:23:33 2014  lanczos halted after 6007 iterations (dim = 379652)
Mon Dec 22 02:23:34 2014  recovered 36 nontrivial dependencies
Mon Dec 22 02:23:34 2014  BLanczosTime: 524
Mon Dec 22 02:23:34 2014  
Mon Dec 22 02:23:34 2014  commencing square root phase
Mon Dec 22 02:23:34 2014  reading relations for dependency 1
Mon Dec 22 02:23:34 2014  read 189926 cycles
Mon Dec 22 02:23:34 2014  cycles contain 611722 unique relations
Mon Dec 22 02:23:41 2014  read 611722 relations
Mon Dec 22 02:23:43 2014  multiplying 611722 relations
Mon Dec 22 02:24:01 2014  multiply complete, coefficients have about 15.10 million bits
Mon Dec 22 02:24:01 2014  initial square root is modulo 476344151
Mon Dec 22 02:24:25 2014  GCD is 1, no factor found
Mon Dec 22 02:24:25 2014  reading relations for dependency 2
Mon Dec 22 02:24:25 2014  read 189922 cycles
Mon Dec 22 02:24:25 2014  cycles contain 612176 unique relations
Mon Dec 22 02:24:32 2014  read 612176 relations
Mon Dec 22 02:24:35 2014  multiplying 612176 relations
Mon Dec 22 02:24:53 2014  multiply complete, coefficients have about 15.12 million bits
Mon Dec 22 02:24:53 2014  initial square root is modulo 484928891
Mon Dec 22 02:25:16 2014  sqrtTime: 102
--
n: 15834812668491642206325242834647965022357806403070754951185587949481911868756942710317919732917675124436859
m: 100000000000000000000000000000
deg: 5
c5: 47
c0: -5
skew: 0.64
# Murphy_E = 1.987e-09
type: snfs
lss: 1
rlim: 1950000
alim: 1950000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 19, 2014 15:02:42 UTC 2014 年 12 月 20 日 (土) 0 時 2 分 42 秒 (日本時間)
403e60--
4511e6610 / 4439Pierre JammesDecember 20, 2014 16:49:06 UTC 2014 年 12 月 21 日 (日) 1 時 49 分 6 秒 (日本時間)

94×10145-13

c119

name 名前Cyp
date 日付December 22, 2014 08:06:34 UTC 2014 年 12 月 22 日 (月) 17 時 6 分 34 秒 (日本時間)
composite number 合成数
48918526617155982140463027573249995040541760422314431105160186037460300766452615024724195710372642696016879609324909641<119>
prime factors 素因数
74406424734826149937551328672057634352213589597335221<53>
657450304748475829544915548910085548871192597950670772196087470021<66>
factorization results 素因数分解の結果
12/22/14 07:29:54 v1.34.3, 
12/22/14 07:29:54 v1.34.3, ****************************
12/22/14 07:29:54 v1.34.3, Starting factorization of 48918526617155982140463027573249995040541760422314431105160186037460300766452615024724195710372642696016879609324909641
12/22/14 07:29:54 v1.34.3, using pretesting plan: none
12/22/14 07:29:54 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/22/14 07:29:54 v1.34.3, ****************************
12/22/14 07:29:54 v1.34.3, nfs: commencing nfs on c119: 48918526617155982140463027573249995040541760422314431105160186037460300766452615024724195710372642696016879609324909641
12/22/14 07:29:54 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/22/14 07:29:54 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/22/14 07:31:29 v1.34.3, nfs: commencing lattice sieving with 8 threads
[49 lines snipped]
12/22/14 08:56:35 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/22/14 08:57:48 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/22/14 08:59:32 v1.34.3, nfs: commencing msieve filtering
12/22/14 09:01:02 v1.34.3, nfs: commencing msieve linear algebra
12/22/14 09:05:56 v1.34.3, nfs: commencing msieve sqrt
12/22/14 09:06:34 v1.34.3, prp66 = 657450304748475829544915548910085548871192597950670772196087470021
12/22/14 09:06:34 v1.34.3, prp53 = 74406424734826149937551328672057634352213589597335221
12/22/14 09:06:34 v1.34.3, NFS elapsed time = 5799.4189 seconds.
12/22/14 09:06:34 v1.34.3, 
12/22/14 09:06:34 v1.34.3, 
12/22/14 09:06:34 v1.34.3, Total factoring time = 5799.4198 seconds
--
Mon Dec 22 08:59:32 2014  
Mon Dec 22 08:59:32 2014  commencing relation filtering
Mon Dec 22 08:59:32 2014  estimated available RAM is 15987.3 MB
Mon Dec 22 08:59:32 2014  commencing duplicate removal, pass 1
Mon Dec 22 08:59:55 2014  found 609301 hash collisions in 4507277 relations
Mon Dec 22 09:00:03 2014  added 183879 free relations
Mon Dec 22 09:00:03 2014  commencing duplicate removal, pass 2
Mon Dec 22 09:00:08 2014  found 438972 duplicates and 4252184 unique relations
Mon Dec 22 09:00:08 2014  memory use: 20.6 MB
Mon Dec 22 09:00:08 2014  reading ideals above 100000
Mon Dec 22 09:00:08 2014  commencing singleton removal, initial pass
Mon Dec 22 09:00:41 2014  memory use: 94.1 MB
Mon Dec 22 09:00:41 2014  reading all ideals from disk
Mon Dec 22 09:00:42 2014  memory use: 137.1 MB
Mon Dec 22 09:00:42 2014  keeping 4733121 ideals with weight <= 200, target excess is 21904
Mon Dec 22 09:00:42 2014  commencing in-memory singleton removal
Mon Dec 22 09:00:42 2014  begin with 4252184 relations and 4733121 unique ideals
Mon Dec 22 09:00:45 2014  reduce to 1697762 relations and 1523729 ideals in 14 passes
Mon Dec 22 09:00:45 2014  max relations containing the same ideal: 106
Mon Dec 22 09:00:46 2014  removing 359675 relations and 285363 ideals in 74312 cliques
Mon Dec 22 09:00:46 2014  commencing in-memory singleton removal
Mon Dec 22 09:00:46 2014  begin with 1338087 relations and 1523729 unique ideals
Mon Dec 22 09:00:47 2014  reduce to 1278533 relations and 1175522 ideals in 8 passes
Mon Dec 22 09:00:47 2014  max relations containing the same ideal: 88
Mon Dec 22 09:00:47 2014  removing 288273 relations and 213961 ideals in 74312 cliques
Mon Dec 22 09:00:47 2014  commencing in-memory singleton removal
Mon Dec 22 09:00:47 2014  begin with 990260 relations and 1175522 unique ideals
Mon Dec 22 09:00:48 2014  reduce to 941788 relations and 910337 ideals in 8 passes
Mon Dec 22 09:00:48 2014  max relations containing the same ideal: 71
Mon Dec 22 09:00:48 2014  relations with 0 large ideals: 523
Mon Dec 22 09:00:48 2014  relations with 1 large ideals: 146
Mon Dec 22 09:00:48 2014  relations with 2 large ideals: 2397
Mon Dec 22 09:00:48 2014  relations with 3 large ideals: 19290
Mon Dec 22 09:00:48 2014  relations with 4 large ideals: 82110
Mon Dec 22 09:00:48 2014  relations with 5 large ideals: 195887
Mon Dec 22 09:00:48 2014  relations with 6 large ideals: 284161
Mon Dec 22 09:00:48 2014  relations with 7+ large ideals: 357274
Mon Dec 22 09:00:48 2014  commencing 2-way merge
Mon Dec 22 09:00:49 2014  reduce to 572238 relation sets and 540787 unique ideals
Mon Dec 22 09:00:49 2014  commencing full merge
Mon Dec 22 09:00:58 2014  memory use: 72.0 MB
Mon Dec 22 09:00:58 2014  found 283551 cycles, need 274987
Mon Dec 22 09:00:58 2014  weight of 274987 cycles is about 19345590 (70.35/cycle)
Mon Dec 22 09:00:58 2014  distribution of cycle lengths:
Mon Dec 22 09:00:58 2014  1 relations: 24574
Mon Dec 22 09:00:58 2014  2 relations: 26668
Mon Dec 22 09:00:58 2014  3 relations: 27427
Mon Dec 22 09:00:58 2014  4 relations: 26651
Mon Dec 22 09:00:58 2014  5 relations: 25686
Mon Dec 22 09:00:58 2014  6 relations: 23483
Mon Dec 22 09:00:58 2014  7 relations: 21541
Mon Dec 22 09:00:58 2014  8 relations: 18983
Mon Dec 22 09:00:58 2014  9 relations: 16668
Mon Dec 22 09:00:58 2014  10+ relations: 63306
Mon Dec 22 09:00:58 2014  heaviest cycle: 20 relations
Mon Dec 22 09:00:59 2014  commencing cycle optimization
Mon Dec 22 09:00:59 2014  start with 1786718 relations
Mon Dec 22 09:01:02 2014  pruned 52550 relations
Mon Dec 22 09:01:02 2014  memory use: 55.6 MB
Mon Dec 22 09:01:02 2014  distribution of cycle lengths:
Mon Dec 22 09:01:02 2014  1 relations: 24574
Mon Dec 22 09:01:02 2014  2 relations: 27199
Mon Dec 22 09:01:02 2014  3 relations: 28433
Mon Dec 22 09:01:02 2014  4 relations: 27472
Mon Dec 22 09:01:02 2014  5 relations: 26662
Mon Dec 22 09:01:02 2014  6 relations: 23998
Mon Dec 22 09:01:02 2014  7 relations: 22211
Mon Dec 22 09:01:02 2014  8 relations: 19457
Mon Dec 22 09:01:02 2014  9 relations: 16767
Mon Dec 22 09:01:02 2014  10+ relations: 58214
Mon Dec 22 09:01:02 2014  heaviest cycle: 20 relations
Mon Dec 22 09:01:02 2014  RelProcTime: 90
Mon Dec 22 09:01:02 2014  
Mon Dec 22 09:01:02 2014  commencing linear algebra
Mon Dec 22 09:01:02 2014  read 274987 cycles
Mon Dec 22 09:01:02 2014  cycles contain 891368 unique relations
Mon Dec 22 09:01:10 2014  read 891368 relations
Mon Dec 22 09:01:11 2014  using 20 quadratic characters above 67107872
Mon Dec 22 09:01:15 2014  building initial matrix
Mon Dec 22 09:01:25 2014  memory use: 106.8 MB
Mon Dec 22 09:01:25 2014  read 274987 cycles
Mon Dec 22 09:01:25 2014  matrix is 274818 x 274987 (81.8 MB) with weight 24828481 (90.29/col)
Mon Dec 22 09:01:25 2014  sparse part has weight 18416994 (66.97/col)
Mon Dec 22 09:01:27 2014  filtering completed in 2 passes
Mon Dec 22 09:01:27 2014  matrix is 274580 x 274759 (81.8 MB) with weight 24818685 (90.33/col)
Mon Dec 22 09:01:27 2014  sparse part has weight 18412629 (67.01/col)
Mon Dec 22 09:01:27 2014  matrix starts at (0, 0)
Mon Dec 22 09:01:27 2014  matrix is 274580 x 274759 (81.8 MB) with weight 24818685 (90.33/col)
Mon Dec 22 09:01:27 2014  sparse part has weight 18412629 (67.01/col)
Mon Dec 22 09:01:27 2014  saving the first 48 matrix rows for later
Mon Dec 22 09:01:28 2014  matrix includes 64 packed rows
Mon Dec 22 09:01:28 2014  matrix is 274532 x 274759 (77.5 MB) with weight 19583387 (71.27/col)
Mon Dec 22 09:01:28 2014  sparse part has weight 17572192 (63.95/col)
Mon Dec 22 09:01:28 2014  using block size 65536 for processor cache size 8192 kB
Mon Dec 22 09:01:29 2014  commencing Lanczos iteration (8 threads)
Mon Dec 22 09:01:29 2014  memory use: 74.1 MB
Mon Dec 22 09:01:43 2014  linear algebra at 4.4%, ETA 0h 5m
Mon Dec 22 09:05:56 2014  lanczos halted after 4344 iterations (dim = 274530)
Mon Dec 22 09:05:56 2014  recovered 37 nontrivial dependencies
Mon Dec 22 09:05:56 2014  BLanczosTime: 294
Mon Dec 22 09:05:56 2014  
Mon Dec 22 09:05:56 2014  commencing square root phase
Mon Dec 22 09:05:56 2014  reading relations for dependency 1
Mon Dec 22 09:05:56 2014  read 137581 cycles
Mon Dec 22 09:05:57 2014  cycles contain 446340 unique relations
Mon Dec 22 09:06:03 2014  read 446340 relations
Mon Dec 22 09:06:04 2014  multiplying 446340 relations
Mon Dec 22 09:06:17 2014  multiply complete, coefficients have about 11.58 million bits
Mon Dec 22 09:06:17 2014  initial square root is modulo 4510711
Mon Dec 22 09:06:34 2014  sqrtTime: 38
--
n: 48918526617155982140463027573249995040541760422314431105160186037460300766452615024724195710372642696016879609324909641
m: 100000000000000000000000000000
deg: 5
c5: 94
c0: -1
skew: 0.40
# Murphy_E = 2.246e-09
type: snfs
lss: 1
rlim: 1970000
alim: 1970000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:19:25 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 25 秒 (日本時間)

94×10148-13

c128

name 名前Cyp
date 日付December 22, 2014 17:30:54 UTC 2014 年 12 月 23 日 (火) 2 時 30 分 54 秒 (日本時間)
composite number 合成数
21923875150506785758846468965900587403639021080085022772759252450427628539739243806156615736904369839256841942407874352863053731<128>
prime factors 素因数
8066437533115140436272754412026903382373365804730568507<55>
2717912964738487868772925399169742500505019733262656570010429848560399033<73>
factorization results 素因数分解の結果
12/22/14 16:01:42 v1.34.3, 
12/22/14 16:01:42 v1.34.3, ****************************
12/22/14 16:01:42 v1.34.3, Starting factorization of 21923875150506785758846468965900587403639021080085022772759252450427628539739243806156615736904369839256841942407874352863053731
12/22/14 16:01:42 v1.34.3, using pretesting plan: none
12/22/14 16:01:42 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/22/14 16:01:42 v1.34.3, ****************************
12/22/14 16:01:42 v1.34.3, nfs: commencing nfs on c128: 21923875150506785758846468965900587403639021080085022772759252450427628539739243806156615736904369839256841942407874352863053731
12/22/14 16:01:42 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/22/14 16:01:42 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/22/14 16:03:15 v1.34.3, nfs: commencing lattice sieving with 8 threads
[77 lines snipped]
12/22/14 18:05:38 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/22/14 18:07:19 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/22/14 18:08:59 v1.34.3, nfs: commencing msieve filtering
12/22/14 18:10:14 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/22/14 18:11:50 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/22/14 18:13:29 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/22/14 18:14:54 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/22/14 18:16:06 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/22/14 18:17:48 v1.34.3, nfs: commencing msieve filtering
12/22/14 18:19:30 v1.34.3, nfs: commencing msieve linear algebra
12/22/14 18:28:41 v1.34.3, nfs: commencing msieve sqrt
12/22/14 18:30:53 v1.34.3, prp55 = 8066437533115140436272754412026903382373365804730568507
12/22/14 18:30:53 v1.34.3, prp73 = 2717912964738487868772925399169742500505019733262656570010429848560399033
12/22/14 18:30:53 v1.34.3, NFS elapsed time = 8951.3160 seconds.
12/22/14 18:30:53 v1.34.3, 
12/22/14 18:30:53 v1.34.3, 
12/22/14 18:30:53 v1.34.3, Total factoring time = 8951.3169 seconds
--
Mon Dec 22 18:08:59 2014  
Mon Dec 22 18:08:59 2014  commencing relation filtering
Mon Dec 22 18:08:59 2014  estimated available RAM is 15987.3 MB
Mon Dec 22 18:08:59 2014  commencing duplicate removal, pass 1
Mon Dec 22 18:09:23 2014  found 678617 hash collisions in 4501191 relations
Mon Dec 22 18:09:31 2014  added 185287 free relations
Mon Dec 22 18:09:31 2014  commencing duplicate removal, pass 2
Mon Dec 22 18:09:37 2014  found 533834 duplicates and 4152644 unique relations
Mon Dec 22 18:09:37 2014  memory use: 20.6 MB
Mon Dec 22 18:09:37 2014  reading ideals above 100000
Mon Dec 22 18:09:37 2014  commencing singleton removal, initial pass
Mon Dec 22 18:10:10 2014  memory use: 94.1 MB
Mon Dec 22 18:10:10 2014  reading all ideals from disk
Mon Dec 22 18:10:10 2014  memory use: 136.6 MB
Mon Dec 22 18:10:11 2014  keeping 4847204 ideals with weight <= 200, target excess is 21258
Mon Dec 22 18:10:11 2014  commencing in-memory singleton removal
Mon Dec 22 18:10:11 2014  begin with 4152644 relations and 4847204 unique ideals
Mon Dec 22 18:10:14 2014  reduce to 1429980 relations and 1421879 ideals in 16 passes
Mon Dec 22 18:10:14 2014  max relations containing the same ideal: 97
Mon Dec 22 18:17:48 2014  
Mon Dec 22 18:17:48 2014  commencing relation filtering
Mon Dec 22 18:17:48 2014  estimated available RAM is 15987.3 MB
Mon Dec 22 18:17:48 2014  commencing duplicate removal, pass 1
Mon Dec 22 18:18:16 2014  found 759536 hash collisions in 4947632 relations
Mon Dec 22 18:18:23 2014  added 1304 free relations
Mon Dec 22 18:18:23 2014  commencing duplicate removal, pass 2
Mon Dec 22 18:18:29 2014  found 584114 duplicates and 4364822 unique relations
Mon Dec 22 18:18:29 2014  memory use: 20.6 MB
Mon Dec 22 18:18:29 2014  reading ideals above 100000
Mon Dec 22 18:18:29 2014  commencing singleton removal, initial pass
Mon Dec 22 18:19:03 2014  memory use: 94.1 MB
Mon Dec 22 18:19:03 2014  reading all ideals from disk
Mon Dec 22 18:19:04 2014  memory use: 143.7 MB
Mon Dec 22 18:19:04 2014  keeping 4950064 ideals with weight <= 200, target excess is 22404
Mon Dec 22 18:19:04 2014  commencing in-memory singleton removal
Mon Dec 22 18:19:04 2014  begin with 4364822 relations and 4950064 unique ideals
Mon Dec 22 18:19:07 2014  reduce to 1667434 relations and 1585128 ideals in 14 passes
Mon Dec 22 18:19:07 2014  max relations containing the same ideal: 103
Mon Dec 22 18:19:08 2014  removing 211411 relations and 183252 ideals in 28159 cliques
Mon Dec 22 18:19:08 2014  commencing in-memory singleton removal
Mon Dec 22 18:19:08 2014  begin with 1456023 relations and 1585128 unique ideals
Mon Dec 22 18:19:09 2014  reduce to 1434419 relations and 1379815 ideals in 9 passes
Mon Dec 22 18:19:09 2014  max relations containing the same ideal: 91
Mon Dec 22 18:19:10 2014  removing 160368 relations and 132209 ideals in 28159 cliques
Mon Dec 22 18:19:10 2014  commencing in-memory singleton removal
Mon Dec 22 18:19:10 2014  begin with 1274051 relations and 1379815 unique ideals
Mon Dec 22 18:19:10 2014  reduce to 1259882 relations and 1233128 ideals in 8 passes
Mon Dec 22 18:19:10 2014  max relations containing the same ideal: 83
Mon Dec 22 18:19:11 2014  relations with 0 large ideals: 504
Mon Dec 22 18:19:11 2014  relations with 1 large ideals: 118
Mon Dec 22 18:19:11 2014  relations with 2 large ideals: 1989
Mon Dec 22 18:19:11 2014  relations with 3 large ideals: 17811
Mon Dec 22 18:19:11 2014  relations with 4 large ideals: 83512
Mon Dec 22 18:19:11 2014  relations with 5 large ideals: 223371
Mon Dec 22 18:19:11 2014  relations with 6 large ideals: 366442
Mon Dec 22 18:19:11 2014  relations with 7+ large ideals: 566135
Mon Dec 22 18:19:11 2014  commencing 2-way merge
Mon Dec 22 18:19:12 2014  reduce to 760711 relation sets and 733957 unique ideals
Mon Dec 22 18:19:12 2014  commencing full merge
Mon Dec 22 18:19:24 2014  memory use: 95.4 MB
Mon Dec 22 18:19:24 2014  found 381562 cycles, need 378157
Mon Dec 22 18:19:24 2014  weight of 378157 cycles is about 26556249 (70.23/cycle)
Mon Dec 22 18:19:24 2014  distribution of cycle lengths:
Mon Dec 22 18:19:24 2014  1 relations: 41139
Mon Dec 22 18:19:24 2014  2 relations: 41377
Mon Dec 22 18:19:24 2014  3 relations: 40228
Mon Dec 22 18:19:24 2014  4 relations: 37148
Mon Dec 22 18:19:24 2014  5 relations: 33745
Mon Dec 22 18:19:24 2014  6 relations: 29889
Mon Dec 22 18:19:24 2014  7 relations: 26216
Mon Dec 22 18:19:24 2014  8 relations: 22700
Mon Dec 22 18:19:24 2014  9 relations: 19687
Mon Dec 22 18:19:24 2014  10+ relations: 86028
Mon Dec 22 18:19:24 2014  heaviest cycle: 24 relations
Mon Dec 22 18:19:24 2014  commencing cycle optimization
Mon Dec 22 18:19:25 2014  start with 2421479 relations
Mon Dec 22 18:19:29 2014  pruned 64818 relations
Mon Dec 22 18:19:29 2014  memory use: 76.1 MB
Mon Dec 22 18:19:29 2014  distribution of cycle lengths:
Mon Dec 22 18:19:29 2014  1 relations: 41139
Mon Dec 22 18:19:29 2014  2 relations: 42196
Mon Dec 22 18:19:29 2014  3 relations: 41601
Mon Dec 22 18:19:29 2014  4 relations: 37995
Mon Dec 22 18:19:29 2014  5 relations: 34694
Mon Dec 22 18:19:29 2014  6 relations: 30403
Mon Dec 22 18:19:29 2014  7 relations: 26724
Mon Dec 22 18:19:29 2014  8 relations: 22910
Mon Dec 22 18:19:29 2014  9 relations: 19843
Mon Dec 22 18:19:29 2014  10+ relations: 80652
Mon Dec 22 18:19:29 2014  heaviest cycle: 24 relations
Mon Dec 22 18:19:29 2014  RelProcTime: 101
Mon Dec 22 18:19:30 2014  
Mon Dec 22 18:19:30 2014  commencing linear algebra
Mon Dec 22 18:19:30 2014  read 378157 cycles
Mon Dec 22 18:19:30 2014  cycles contain 1233564 unique relations
Mon Dec 22 18:19:40 2014  read 1233564 relations
Mon Dec 22 18:19:41 2014  using 20 quadratic characters above 67108764
Mon Dec 22 18:19:47 2014  building initial matrix
Mon Dec 22 18:20:00 2014  memory use: 148.8 MB
Mon Dec 22 18:20:00 2014  read 378157 cycles
Mon Dec 22 18:20:00 2014  matrix is 377980 x 378157 (112.7 MB) with weight 33626006 (88.92/col)
Mon Dec 22 18:20:00 2014  sparse part has weight 25384863 (67.13/col)
Mon Dec 22 18:20:03 2014  filtering completed in 2 passes
Mon Dec 22 18:20:03 2014  matrix is 377823 x 378000 (112.7 MB) with weight 33620585 (88.94/col)
Mon Dec 22 18:20:03 2014  sparse part has weight 25382855 (67.15/col)
Mon Dec 22 18:20:04 2014  matrix starts at (0, 0)
Mon Dec 22 18:20:04 2014  matrix is 377823 x 378000 (112.7 MB) with weight 33620585 (88.94/col)
Mon Dec 22 18:20:04 2014  sparse part has weight 25382855 (67.15/col)
Mon Dec 22 18:20:04 2014  saving the first 48 matrix rows for later
Mon Dec 22 18:20:04 2014  matrix includes 64 packed rows
Mon Dec 22 18:20:04 2014  matrix is 377775 x 378000 (106.4 MB) with weight 26613755 (70.41/col)
Mon Dec 22 18:20:04 2014  sparse part has weight 24124908 (63.82/col)
Mon Dec 22 18:20:04 2014  using block size 65536 for processor cache size 8192 kB
Mon Dec 22 18:20:05 2014  commencing Lanczos iteration (8 threads)
Mon Dec 22 18:20:05 2014  memory use: 102.4 MB
Mon Dec 22 18:20:23 2014  linear algebra at 3.2%, ETA 0h 9m
Mon Dec 22 18:28:41 2014  lanczos halted after 5976 iterations (dim = 377771)
Mon Dec 22 18:28:41 2014  recovered 36 nontrivial dependencies
Mon Dec 22 18:28:41 2014  BLanczosTime: 551
Mon Dec 22 18:28:41 2014  
Mon Dec 22 18:28:41 2014  commencing square root phase
Mon Dec 22 18:28:41 2014  reading relations for dependency 1
Mon Dec 22 18:28:41 2014  read 188607 cycles
Mon Dec 22 18:28:42 2014  cycles contain 616012 unique relations
Mon Dec 22 18:28:49 2014  read 616012 relations
Mon Dec 22 18:28:51 2014  multiplying 616012 relations
Mon Dec 22 18:29:19 2014  multiply complete, coefficients have about 21.65 million bits
Mon Dec 22 18:29:19 2014  initial square root is modulo 1650491
Mon Dec 22 18:29:52 2014  GCD is 1, no factor found
Mon Dec 22 18:29:52 2014  reading relations for dependency 2
Mon Dec 22 18:29:52 2014  read 189222 cycles
Mon Dec 22 18:29:52 2014  cycles contain 616100 unique relations
Mon Dec 22 18:29:59 2014  read 616100 relations
Mon Dec 22 18:30:01 2014  multiplying 616100 relations
Mon Dec 22 18:30:25 2014  multiply complete, coefficients have about 21.65 million bits
Mon Dec 22 18:30:25 2014  initial square root is modulo 1655131
Mon Dec 22 18:30:53 2014  sqrtTime: 132
--
n: 21923875150506785758846468965900587403639021080085022772759252450427628539739243806156615736904369839256841942407874352863053731
m: 100000000000000000000000000000
deg: 5
c5: 94000
c0: -1
skew: 0.10
# Murphy_E = 1.222e-09
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:19:26 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 26 秒 (日本時間)

94×10151-13

c147

name 名前Cyp
date 日付December 23, 2014 09:36:55 UTC 2014 年 12 月 23 日 (火) 18 時 36 分 55 秒 (日本時間)
composite number 合成数
454674953359540023730162991296844217235953567045933295314768084333497306534598103618487083603598897364868427226129685872813872036087647787498470309<147>
prime factors 素因数
2885082414360652893839358238544633863111164980531<49>
157595135271135059554532024377169742855470059100062789034757126850548090463000682796056836925981639<99>
factorization results 素因数分解の結果
12/23/14 07:03:43 v1.34.3, 
12/23/14 07:03:43 v1.34.3, ****************************
12/23/14 07:03:43 v1.34.3, Starting factorization of 454674953359540023730162991296844217235953567045933295314768084333497306534598103618487083603598897364868427226129685872813872036087647787498470309
12/23/14 07:03:43 v1.34.3, using pretesting plan: none
12/23/14 07:03:43 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/23/14 07:03:43 v1.34.3, ****************************
12/23/14 07:03:43 v1.34.3, nfs: commencing nfs on c147: 454674953359540023730162991296844217235953567045933295314768084333497306534598103618487083603598897364868427226129685872813872036087647787498470309
12/23/14 07:03:43 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/23/14 07:03:43 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 07:12:10 v1.34.3, nfs: commencing lattice sieving with 8 threads
[20 lines snipped]
12/23/14 10:08:42 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 10:17:21 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 10:25:25 v1.34.3, nfs: commencing msieve filtering
12/23/14 10:28:41 v1.34.3, nfs: commencing msieve linear algebra
12/23/14 10:34:49 v1.34.3, nfs: commencing msieve sqrt
12/23/14 10:36:54 v1.34.3, prp49 = 2885082414360652893839358238544633863111164980531
12/23/14 10:36:54 v1.34.3, prp99 = 157595135271135059554532024377169742855470059100062789034757126850548090463000682796056836925981639
12/23/14 10:36:54 v1.34.3, NFS elapsed time = 12791.4701 seconds.
12/23/14 10:36:54 v1.34.3, 
12/23/14 10:36:54 v1.34.3, 
12/23/14 10:36:54 v1.34.3, Total factoring time = 12791.4710 seconds
--
Tue Dec 23 10:25:25 2014  
Tue Dec 23 10:25:25 2014  commencing relation filtering
Tue Dec 23 10:25:25 2014  estimated available RAM is 15987.3 MB
Tue Dec 23 10:25:25 2014  commencing duplicate removal, pass 1
Tue Dec 23 10:26:19 2014  found 1218265 hash collisions in 10207055 relations
Tue Dec 23 10:26:34 2014  added 359976 free relations
Tue Dec 23 10:26:34 2014  commencing duplicate removal, pass 2
Tue Dec 23 10:26:48 2014  found 700562 duplicates and 9866469 unique relations
Tue Dec 23 10:26:48 2014  memory use: 41.3 MB
Tue Dec 23 10:26:48 2014  reading ideals above 100000
Tue Dec 23 10:26:48 2014  commencing singleton removal, initial pass
Tue Dec 23 10:28:06 2014  memory use: 188.2 MB
Tue Dec 23 10:28:07 2014  reading all ideals from disk
Tue Dec 23 10:28:07 2014  memory use: 334.9 MB
Tue Dec 23 10:28:07 2014  keeping 9717756 ideals with weight <= 200, target excess is 56301
Tue Dec 23 10:28:08 2014  commencing in-memory singleton removal
Tue Dec 23 10:28:09 2014  begin with 9866469 relations and 9717756 unique ideals
Tue Dec 23 10:28:16 2014  reduce to 5007993 relations and 3781692 ideals in 11 passes
Tue Dec 23 10:28:16 2014  max relations containing the same ideal: 132
Tue Dec 23 10:28:18 2014  removing 1258402 relations and 858402 ideals in 400000 cliques
Tue Dec 23 10:28:18 2014  commencing in-memory singleton removal
Tue Dec 23 10:28:19 2014  begin with 3749591 relations and 3781692 unique ideals
Tue Dec 23 10:28:21 2014  reduce to 3551818 relations and 2706284 ideals in 7 passes
Tue Dec 23 10:28:21 2014  max relations containing the same ideal: 104
Tue Dec 23 10:28:22 2014  removing 1066892 relations and 666892 ideals in 400000 cliques
Tue Dec 23 10:28:22 2014  commencing in-memory singleton removal
Tue Dec 23 10:28:23 2014  begin with 2484926 relations and 2706284 unique ideals
Tue Dec 23 10:28:24 2014  reduce to 2323999 relations and 1861547 ideals in 9 passes
Tue Dec 23 10:28:24 2014  max relations containing the same ideal: 74
Tue Dec 23 10:28:25 2014  removing 1004909 relations and 607767 ideals in 397142 cliques
Tue Dec 23 10:28:25 2014  commencing in-memory singleton removal
Tue Dec 23 10:28:25 2014  begin with 1319090 relations and 1861547 unique ideals
Tue Dec 23 10:28:27 2014  reduce to 1127766 relations and 1035203 ideals in 11 passes
Tue Dec 23 10:28:27 2014  max relations containing the same ideal: 50
Tue Dec 23 10:28:27 2014  removing 126950 relations and 99697 ideals in 27253 cliques
Tue Dec 23 10:28:27 2014  commencing in-memory singleton removal
Tue Dec 23 10:28:27 2014  begin with 1000816 relations and 1035203 unique ideals
Tue Dec 23 10:28:28 2014  reduce to 985527 relations and 919804 ideals in 8 passes
Tue Dec 23 10:28:28 2014  max relations containing the same ideal: 45
Tue Dec 23 10:28:28 2014  relations with 0 large ideals: 1360
Tue Dec 23 10:28:28 2014  relations with 1 large ideals: 1809
Tue Dec 23 10:28:28 2014  relations with 2 large ideals: 17389
Tue Dec 23 10:28:28 2014  relations with 3 large ideals: 79452
Tue Dec 23 10:28:28 2014  relations with 4 large ideals: 194844
Tue Dec 23 10:28:28 2014  relations with 5 large ideals: 277698
Tue Dec 23 10:28:28 2014  relations with 6 large ideals: 247451
Tue Dec 23 10:28:28 2014  relations with 7+ large ideals: 165524
Tue Dec 23 10:28:28 2014  commencing 2-way merge
Tue Dec 23 10:28:29 2014  reduce to 633901 relation sets and 568178 unique ideals
Tue Dec 23 10:28:29 2014  commencing full merge
Tue Dec 23 10:28:37 2014  memory use: 69.3 MB
Tue Dec 23 10:28:37 2014  found 317186 cycles, need 308378
Tue Dec 23 10:28:37 2014  weight of 308378 cycles is about 21680423 (70.30/cycle)
Tue Dec 23 10:28:37 2014  distribution of cycle lengths:
Tue Dec 23 10:28:37 2014  1 relations: 27055
Tue Dec 23 10:28:37 2014  2 relations: 30369
Tue Dec 23 10:28:37 2014  3 relations: 33938
Tue Dec 23 10:28:37 2014  4 relations: 33814
Tue Dec 23 10:28:37 2014  5 relations: 32483
Tue Dec 23 10:28:37 2014  6 relations: 28667
Tue Dec 23 10:28:37 2014  7 relations: 24951
Tue Dec 23 10:28:37 2014  8 relations: 21058
Tue Dec 23 10:28:37 2014  9 relations: 17432
Tue Dec 23 10:28:37 2014  10+ relations: 58611
Tue Dec 23 10:28:37 2014  heaviest cycle: 20 relations
Tue Dec 23 10:28:37 2014  commencing cycle optimization
Tue Dec 23 10:28:37 2014  start with 1879246 relations
Tue Dec 23 10:28:40 2014  pruned 63865 relations
Tue Dec 23 10:28:40 2014  memory use: 58.8 MB
Tue Dec 23 10:28:40 2014  distribution of cycle lengths:
Tue Dec 23 10:28:40 2014  1 relations: 27055
Tue Dec 23 10:28:40 2014  2 relations: 31093
Tue Dec 23 10:28:40 2014  3 relations: 35340
Tue Dec 23 10:28:40 2014  4 relations: 35116
Tue Dec 23 10:28:40 2014  5 relations: 33813
Tue Dec 23 10:28:40 2014  6 relations: 29591
Tue Dec 23 10:28:40 2014  7 relations: 25634
Tue Dec 23 10:28:40 2014  8 relations: 21345
Tue Dec 23 10:28:40 2014  9 relations: 17347
Tue Dec 23 10:28:40 2014  10+ relations: 52044
Tue Dec 23 10:28:40 2014  heaviest cycle: 19 relations
Tue Dec 23 10:28:41 2014  RelProcTime: 196
Tue Dec 23 10:28:41 2014  
Tue Dec 23 10:28:41 2014  commencing linear algebra
Tue Dec 23 10:28:41 2014  read 308378 cycles
Tue Dec 23 10:28:41 2014  cycles contain 942509 unique relations
Tue Dec 23 10:28:55 2014  read 942509 relations
Tue Dec 23 10:28:56 2014  using 20 quadratic characters above 134216738
Tue Dec 23 10:29:00 2014  building initial matrix
Tue Dec 23 10:29:10 2014  memory use: 113.9 MB
Tue Dec 23 10:29:11 2014  read 308378 cycles
Tue Dec 23 10:29:11 2014  matrix is 308198 x 308378 (91.4 MB) with weight 27282594 (88.47/col)
Tue Dec 23 10:29:11 2014  sparse part has weight 20574022 (66.72/col)
Tue Dec 23 10:29:13 2014  filtering completed in 2 passes
Tue Dec 23 10:29:13 2014  matrix is 307957 x 308137 (91.4 MB) with weight 27272164 (88.51/col)
Tue Dec 23 10:29:13 2014  sparse part has weight 20568869 (66.75/col)
Tue Dec 23 10:29:13 2014  matrix starts at (0, 0)
Tue Dec 23 10:29:14 2014  matrix is 307957 x 308137 (91.4 MB) with weight 27272164 (88.51/col)
Tue Dec 23 10:29:14 2014  sparse part has weight 20568869 (66.75/col)
Tue Dec 23 10:29:14 2014  saving the first 48 matrix rows for later
Tue Dec 23 10:29:14 2014  matrix includes 64 packed rows
Tue Dec 23 10:29:14 2014  matrix is 307909 x 308137 (86.3 MB) with weight 21617187 (70.15/col)
Tue Dec 23 10:29:14 2014  sparse part has weight 19531444 (63.39/col)
Tue Dec 23 10:29:14 2014  using block size 65536 for processor cache size 8192 kB
Tue Dec 23 10:29:15 2014  commencing Lanczos iteration (8 threads)
Tue Dec 23 10:29:15 2014  memory use: 82.9 MB
Tue Dec 23 10:29:31 2014  linear algebra at 3.9%, ETA 0h 6m
Tue Dec 23 10:34:49 2014  lanczos halted after 4871 iterations (dim = 307909)
Tue Dec 23 10:34:49 2014  recovered 38 nontrivial dependencies
Tue Dec 23 10:34:49 2014  BLanczosTime: 368
Tue Dec 23 10:34:49 2014  
Tue Dec 23 10:34:49 2014  commencing square root phase
Tue Dec 23 10:34:49 2014  reading relations for dependency 1
Tue Dec 23 10:34:49 2014  read 153935 cycles
Tue Dec 23 10:34:49 2014  cycles contain 471484 unique relations
Tue Dec 23 10:35:02 2014  read 471484 relations
Tue Dec 23 10:35:04 2014  multiplying 471484 relations
Tue Dec 23 10:35:20 2014  multiply complete, coefficients have about 14.13 million bits
Tue Dec 23 10:35:20 2014  initial square root is modulo 131166461
Tue Dec 23 10:35:41 2014  GCD is 1, no factor found
Tue Dec 23 10:35:41 2014  reading relations for dependency 2
Tue Dec 23 10:35:41 2014  read 153881 cycles
Tue Dec 23 10:35:41 2014  cycles contain 470110 unique relations
Tue Dec 23 10:35:53 2014  read 470110 relations
Tue Dec 23 10:35:54 2014  multiplying 470110 relations
Tue Dec 23 10:36:06 2014  multiply complete, coefficients have about 14.09 million bits
Tue Dec 23 10:36:06 2014  initial square root is modulo 124471621
Tue Dec 23 10:36:25 2014  GCD is 1, no factor found
Tue Dec 23 10:36:25 2014  reading relations for dependency 3
Tue Dec 23 10:36:25 2014  read 154088 cycles
Tue Dec 23 10:36:25 2014  cycles contain 471354 unique relations
Tue Dec 23 10:36:33 2014  read 471354 relations
Tue Dec 23 10:36:34 2014  multiplying 471354 relations
Tue Dec 23 10:36:42 2014  multiply complete, coefficients have about 14.13 million bits
Tue Dec 23 10:36:42 2014  initial square root is modulo 130779841
Tue Dec 23 10:36:54 2014  sqrtTime: 125
--
n: 454674953359540023730162991296844217235953567045933295314768084333497306534598103618487083603598897364868427226129685872813872036087647787498470309
m: 1000000000000000000000000000000
deg: 5
c5: 940
c0: -1
skew: 0.25
# Murphy_E = 1.118e-09
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:19:26 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 26 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:16 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 16 秒 (日本時間)

94×10153-13

c142

name 名前Cyp
date 日付December 23, 2014 22:34:35 UTC 2014 年 12 月 24 日 (水) 7 時 34 分 35 秒 (日本時間)
composite number 合成数
5507498223369837460461283609743154236385590728287564873467516926447030001324025129618758022874934100947966140309537139682186802279470178259797<142>
prime factors 素因数
17325317505903061807730258353627544938608037334760889687514279323757<68>
317887289597626660641263597202537588703714200826405727705700531156202083721<75>
factorization results 素因数分解の結果
12/23/14 18:43:02 v1.34.3, 
12/23/14 18:43:02 v1.34.3, ****************************
12/23/14 18:43:02 v1.34.3, Starting factorization of 5507498223369837460461283609743154236385590728287564873467516926447030001324025129618758022874934100947966140309537139682186802279470178259797
12/23/14 18:43:02 v1.34.3, using pretesting plan: none
12/23/14 18:43:02 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/23/14 18:43:02 v1.34.3, ****************************
12/23/14 18:43:02 v1.34.3, nfs: commencing nfs on c142: 5507498223369837460461283609743154236385590728287564873467516926447030001324025129618758022874934100947966140309537139682186802279470178259797
12/23/14 18:43:02 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/23/14 18:43:02 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 18:51:12 v1.34.3, nfs: commencing lattice sieving with 8 threads
[31 lines snipped]
12/23/14 23:00:32 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 23:09:14 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 23:17:42 v1.34.3, nfs: commencing msieve filtering
12/23/14 23:22:01 v1.34.3, nfs: commencing msieve linear algebra
12/23/14 23:31:55 v1.34.3, nfs: commencing msieve sqrt
12/23/14 23:34:34 v1.34.3, prp75 = 317887289597626660641263597202537588703714200826405727705700531156202083721
12/23/14 23:34:34 v1.34.3, prp68 = 17325317505903061807730258353627544938608037334760889687514279323757
12/23/14 23:34:34 v1.34.3, NFS elapsed time = 17492.7901 seconds.
12/23/14 23:34:34 v1.34.3, 
12/23/14 23:34:34 v1.34.3, 
12/23/14 23:34:34 v1.34.3, Total factoring time = 17492.7913 seconds
--
Tue Dec 23 23:17:42 2014  
Tue Dec 23 23:17:42 2014  commencing relation filtering
Tue Dec 23 23:17:42 2014  estimated available RAM is 15987.3 MB
Tue Dec 23 23:17:42 2014  commencing duplicate removal, pass 1
Tue Dec 23 23:18:49 2014  found 1312135 hash collisions in 10296604 relations
Tue Dec 23 23:19:07 2014  added 360608 free relations
Tue Dec 23 23:19:07 2014  commencing duplicate removal, pass 2
Tue Dec 23 23:19:23 2014  found 816121 duplicates and 9841091 unique relations
Tue Dec 23 23:19:23 2014  memory use: 41.3 MB
Tue Dec 23 23:19:23 2014  reading ideals above 100000
Tue Dec 23 23:19:23 2014  commencing singleton removal, initial pass
Tue Dec 23 23:21:12 2014  memory use: 188.2 MB
Tue Dec 23 23:21:12 2014  reading all ideals from disk
Tue Dec 23 23:21:12 2014  memory use: 337.5 MB
Tue Dec 23 23:21:13 2014  keeping 9789221 ideals with weight <= 200, target excess is 52433
Tue Dec 23 23:21:15 2014  commencing in-memory singleton removal
Tue Dec 23 23:21:16 2014  begin with 9841091 relations and 9789221 unique ideals
Tue Dec 23 23:21:26 2014  reduce to 4957568 relations and 3825896 ideals in 12 passes
Tue Dec 23 23:21:26 2014  max relations containing the same ideal: 127
Tue Dec 23 23:21:29 2014  removing 1278790 relations and 878790 ideals in 400000 cliques
Tue Dec 23 23:21:29 2014  commencing in-memory singleton removal
Tue Dec 23 23:21:30 2014  begin with 3678778 relations and 3825896 unique ideals
Tue Dec 23 23:21:33 2014  reduce to 3468399 relations and 2716333 ideals in 7 passes
Tue Dec 23 23:21:33 2014  max relations containing the same ideal: 103
Tue Dec 23 23:21:36 2014  removing 1084619 relations and 684619 ideals in 400000 cliques
Tue Dec 23 23:21:36 2014  commencing in-memory singleton removal
Tue Dec 23 23:21:36 2014  begin with 2383780 relations and 2716333 unique ideals
Tue Dec 23 23:21:39 2014  reduce to 2207555 relations and 1836144 ideals in 9 passes
Tue Dec 23 23:21:39 2014  max relations containing the same ideal: 75
Tue Dec 23 23:21:40 2014  removing 827499 relations and 516911 ideals in 310588 cliques
Tue Dec 23 23:21:41 2014  commencing in-memory singleton removal
Tue Dec 23 23:21:41 2014  begin with 1380056 relations and 1836144 unique ideals
Tue Dec 23 23:21:42 2014  reduce to 1214312 relations and 1132129 ideals in 8 passes
Tue Dec 23 23:21:42 2014  max relations containing the same ideal: 49
Tue Dec 23 23:21:43 2014  removing 104900 relations and 83540 ideals in 21360 cliques
Tue Dec 23 23:21:43 2014  commencing in-memory singleton removal
Tue Dec 23 23:21:43 2014  begin with 1109412 relations and 1132129 unique ideals
Tue Dec 23 23:21:44 2014  reduce to 1100912 relations and 1039909 ideals in 6 passes
Tue Dec 23 23:21:44 2014  max relations containing the same ideal: 47
Tue Dec 23 23:21:45 2014  relations with 0 large ideals: 1201
Tue Dec 23 23:21:45 2014  relations with 1 large ideals: 874
Tue Dec 23 23:21:45 2014  relations with 2 large ideals: 11642
Tue Dec 23 23:21:45 2014  relations with 3 large ideals: 66485
Tue Dec 23 23:21:45 2014  relations with 4 large ideals: 192024
Tue Dec 23 23:21:45 2014  relations with 5 large ideals: 306390
Tue Dec 23 23:21:45 2014  relations with 6 large ideals: 297987
Tue Dec 23 23:21:45 2014  relations with 7+ large ideals: 224309
Tue Dec 23 23:21:45 2014  commencing 2-way merge
Tue Dec 23 23:21:46 2014  reduce to 695898 relation sets and 634895 unique ideals
Tue Dec 23 23:21:46 2014  commencing full merge
Tue Dec 23 23:21:56 2014  memory use: 80.6 MB
Tue Dec 23 23:21:56 2014  found 353211 cycles, need 345095
Tue Dec 23 23:21:56 2014  weight of 345095 cycles is about 24542741 (71.12/cycle)
Tue Dec 23 23:21:56 2014  distribution of cycle lengths:
Tue Dec 23 23:21:56 2014  1 relations: 28704
Tue Dec 23 23:21:56 2014  2 relations: 32898
Tue Dec 23 23:21:56 2014  3 relations: 36452
Tue Dec 23 23:21:56 2014  4 relations: 36742
Tue Dec 23 23:21:56 2014  5 relations: 36473
Tue Dec 23 23:21:56 2014  6 relations: 32885
Tue Dec 23 23:21:56 2014  7 relations: 29196
Tue Dec 23 23:21:56 2014  8 relations: 24598
Tue Dec 23 23:21:56 2014  9 relations: 20600
Tue Dec 23 23:21:56 2014  10+ relations: 66547
Tue Dec 23 23:21:56 2014  heaviest cycle: 20 relations
Tue Dec 23 23:21:57 2014  commencing cycle optimization
Tue Dec 23 23:21:57 2014  start with 2131793 relations
Tue Dec 23 23:22:01 2014  pruned 70515 relations
Tue Dec 23 23:22:01 2014  memory use: 66.6 MB
Tue Dec 23 23:22:01 2014  distribution of cycle lengths:
Tue Dec 23 23:22:01 2014  1 relations: 28704
Tue Dec 23 23:22:01 2014  2 relations: 33609
Tue Dec 23 23:22:01 2014  3 relations: 37894
Tue Dec 23 23:22:01 2014  4 relations: 38148
Tue Dec 23 23:22:01 2014  5 relations: 37906
Tue Dec 23 23:22:01 2014  6 relations: 34127
Tue Dec 23 23:22:01 2014  7 relations: 30006
Tue Dec 23 23:22:01 2014  8 relations: 24958
Tue Dec 23 23:22:01 2014  9 relations: 20619
Tue Dec 23 23:22:01 2014  10+ relations: 59124
Tue Dec 23 23:22:01 2014  heaviest cycle: 20 relations
Tue Dec 23 23:22:01 2014  RelProcTime: 259
Tue Dec 23 23:22:01 2014  
Tue Dec 23 23:22:01 2014  commencing linear algebra
Tue Dec 23 23:22:01 2014  read 345095 cycles
Tue Dec 23 23:22:02 2014  cycles contain 1064666 unique relations
Tue Dec 23 23:22:15 2014  read 1064666 relations
Tue Dec 23 23:22:16 2014  using 20 quadratic characters above 134212974
Tue Dec 23 23:22:21 2014  building initial matrix
Tue Dec 23 23:22:33 2014  memory use: 133.4 MB
Tue Dec 23 23:22:34 2014  read 345095 cycles
Tue Dec 23 23:22:34 2014  matrix is 344918 x 345095 (103.5 MB) with weight 30946222 (89.67/col)
Tue Dec 23 23:22:34 2014  sparse part has weight 23334429 (67.62/col)
Tue Dec 23 23:22:37 2014  filtering completed in 2 passes
Tue Dec 23 23:22:37 2014  matrix is 344799 x 344976 (103.5 MB) with weight 30940553 (89.69/col)
Tue Dec 23 23:22:37 2014  sparse part has weight 23331396 (67.63/col)
Tue Dec 23 23:22:38 2014  matrix starts at (0, 0)
Tue Dec 23 23:22:38 2014  matrix is 344799 x 344976 (103.5 MB) with weight 30940553 (89.69/col)
Tue Dec 23 23:22:38 2014  sparse part has weight 23331396 (67.63/col)
Tue Dec 23 23:22:38 2014  saving the first 48 matrix rows for later
Tue Dec 23 23:22:38 2014  matrix includes 64 packed rows
Tue Dec 23 23:22:38 2014  matrix is 344751 x 344976 (97.8 MB) with weight 24523462 (71.09/col)
Tue Dec 23 23:22:38 2014  sparse part has weight 22198213 (64.35/col)
Tue Dec 23 23:22:38 2014  using block size 65536 for processor cache size 8192 kB
Tue Dec 23 23:22:39 2014  commencing Lanczos iteration (8 threads)
Tue Dec 23 23:22:39 2014  memory use: 94.1 MB
Tue Dec 23 23:22:48 2014  linear algebra at 3.5%, ETA 0h 4m
Tue Dec 23 23:31:54 2014  lanczos halted after 5452 iterations (dim = 344751)
Tue Dec 23 23:31:55 2014  recovered 39 nontrivial dependencies
Tue Dec 23 23:31:55 2014  BLanczosTime: 594
Tue Dec 23 23:31:55 2014  
Tue Dec 23 23:31:55 2014  commencing square root phase
Tue Dec 23 23:31:55 2014  reading relations for dependency 1
Tue Dec 23 23:31:55 2014  read 172375 cycles
Tue Dec 23 23:31:55 2014  cycles contain 530726 unique relations
Tue Dec 23 23:32:09 2014  read 530726 relations
Tue Dec 23 23:32:13 2014  multiplying 530726 relations
Tue Dec 23 23:32:38 2014  multiply complete, coefficients have about 19.14 million bits
Tue Dec 23 23:32:39 2014  initial square root is modulo 314351
Tue Dec 23 23:33:14 2014  GCD is N, no factor found
Tue Dec 23 23:33:14 2014  reading relations for dependency 2
Tue Dec 23 23:33:14 2014  read 172050 cycles
Tue Dec 23 23:33:15 2014  cycles contain 531268 unique relations
Tue Dec 23 23:33:29 2014  read 531268 relations
Tue Dec 23 23:33:33 2014  multiplying 531268 relations
Tue Dec 23 23:33:58 2014  multiply complete, coefficients have about 19.16 million bits
Tue Dec 23 23:33:58 2014  initial square root is modulo 318161
Tue Dec 23 23:34:34 2014  sqrtTime: 159
--
n: 5507498223369837460461283609743154236385590728287564873467516926447030001324025129618758022874934100947966140309537139682186802279470178259797
m: 1000000000000000000000000000000
deg: 5
c5: 94000
c0: -1
skew: 0.10
# Murphy_E = 7.889e-10
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:19:27 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 27 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:16 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 16 秒 (日本時間)

94×10154-13

c114

name 名前Cyp
date 日付December 24, 2014 11:46:56 UTC 2014 年 12 月 24 日 (水) 20 時 46 分 56 秒 (日本時間)
composite number 合成数
211706793022273842706183831258101659606766856826450417813416886195536132418496258036448200480337160509978493155547<114>
prime factors 素因数
1284592439386951601169678974603692572356737855233027797<55>
164804638834171453370286053614751597203261920992233794240751<60>
factorization results 素因数分解の結果
12/24/14 08:27:08 v1.34.3, 
12/24/14 08:27:08 v1.34.3, ****************************
12/24/14 08:27:08 v1.34.3, Starting factorization of 211706793022273842706183831258101659606766856826450417813416886195536132418496258036448200480337160509978493155547
12/24/14 08:27:08 v1.34.3, using pretesting plan: none
12/24/14 08:27:08 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/24/14 08:27:08 v1.34.3, ****************************
12/24/14 08:27:08 v1.34.3, nfs: commencing nfs on c114: 211706793022273842706183831258101659606766856826450417813416886195536132418496258036448200480337160509978493155547
12/24/14 08:27:08 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/24/14 08:27:08 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/24/14 08:28:39 v1.34.3, nfs: commencing lattice sieving with 8 threads
[169 lines snipped]
12/24/14 12:29:03 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/24/14 12:30:34 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/24/14 12:31:55 v1.34.3, nfs: commencing msieve filtering
12/24/14 12:35:00 v1.34.3, nfs: commencing msieve linear algebra
12/24/14 12:46:13 v1.34.3, nfs: commencing msieve sqrt
12/24/14 12:46:55 v1.34.3, prp60 = 164804638834171453370286053614751597203261920992233794240751
12/24/14 12:46:55 v1.34.3, prp55 = 1284592439386951601169678974603692572356737855233027797
12/24/14 12:46:55 v1.34.3, NFS elapsed time = 15587.4675 seconds.
12/24/14 12:46:55 v1.34.3, 
12/24/14 12:46:55 v1.34.3, 
12/24/14 12:46:55 v1.34.3, Total factoring time = 15587.4683 seconds
--
Wed Dec 24 12:31:55 2014  
Wed Dec 24 12:31:55 2014  commencing relation filtering
Wed Dec 24 12:31:55 2014  estimated available RAM is 15987.3 MB
Wed Dec 24 12:31:55 2014  commencing duplicate removal, pass 1
Wed Dec 24 12:32:39 2014  found 1626786 hash collisions in 10070379 relations
Wed Dec 24 12:32:55 2014  added 357016 free relations
Wed Dec 24 12:32:55 2014  commencing duplicate removal, pass 2
Wed Dec 24 12:33:08 2014  found 1286542 duplicates and 9140853 unique relations
Wed Dec 24 12:33:08 2014  memory use: 41.3 MB
Wed Dec 24 12:33:08 2014  reading ideals above 100000
Wed Dec 24 12:33:08 2014  commencing singleton removal, initial pass
Wed Dec 24 12:34:22 2014  memory use: 188.2 MB
Wed Dec 24 12:34:22 2014  reading all ideals from disk
Wed Dec 24 12:34:22 2014  memory use: 310.0 MB
Wed Dec 24 12:34:23 2014  keeping 9567176 ideals with weight <= 200, target excess is 46349
Wed Dec 24 12:34:24 2014  commencing in-memory singleton removal
Wed Dec 24 12:34:25 2014  begin with 9140853 relations and 9567176 unique ideals
Wed Dec 24 12:34:31 2014  reduce to 4195688 relations and 3458062 ideals in 14 passes
Wed Dec 24 12:34:31 2014  max relations containing the same ideal: 124
Wed Dec 24 12:34:33 2014  removing 1187816 relations and 845885 ideals in 341931 cliques
Wed Dec 24 12:34:33 2014  commencing in-memory singleton removal
Wed Dec 24 12:34:33 2014  begin with 3007872 relations and 3458062 unique ideals
Wed Dec 24 12:34:36 2014  reduce to 2776998 relations and 2357737 ideals in 8 passes
Wed Dec 24 12:34:36 2014  max relations containing the same ideal: 98
Wed Dec 24 12:34:37 2014  removing 995315 relations and 653384 ideals in 341931 cliques
Wed Dec 24 12:34:37 2014  commencing in-memory singleton removal
Wed Dec 24 12:34:37 2014  begin with 1781683 relations and 2357737 unique ideals
Wed Dec 24 12:34:39 2014  reduce to 1577944 relations and 1474833 ideals in 9 passes
Wed Dec 24 12:34:39 2014  max relations containing the same ideal: 62
Wed Dec 24 12:34:39 2014  removing 211097 relations and 161751 ideals in 49346 cliques
Wed Dec 24 12:34:39 2014  commencing in-memory singleton removal
Wed Dec 24 12:34:40 2014  begin with 1366847 relations and 1474833 unique ideals
Wed Dec 24 12:34:40 2014  reduce to 1345774 relations and 1291318 ideals in 6 passes
Wed Dec 24 12:34:40 2014  max relations containing the same ideal: 56
Wed Dec 24 12:34:41 2014  relations with 0 large ideals: 1075
Wed Dec 24 12:34:41 2014  relations with 1 large ideals: 642
Wed Dec 24 12:34:41 2014  relations with 2 large ideals: 10132
Wed Dec 24 12:34:41 2014  relations with 3 large ideals: 62665
Wed Dec 24 12:34:41 2014  relations with 4 large ideals: 200254
Wed Dec 24 12:34:41 2014  relations with 5 large ideals: 358949
Wed Dec 24 12:34:41 2014  relations with 6 large ideals: 387447
Wed Dec 24 12:34:41 2014  relations with 7+ large ideals: 324610
Wed Dec 24 12:34:41 2014  commencing 2-way merge
Wed Dec 24 12:34:42 2014  reduce to 845932 relation sets and 791476 unique ideals
Wed Dec 24 12:34:42 2014  commencing full merge
Wed Dec 24 12:34:54 2014  memory use: 101.9 MB
Wed Dec 24 12:34:54 2014  found 437356 cycles, need 429676
Wed Dec 24 12:34:54 2014  weight of 429676 cycles is about 30111752 (70.08/cycle)
Wed Dec 24 12:34:54 2014  distribution of cycle lengths:
Wed Dec 24 12:34:54 2014  1 relations: 30565
Wed Dec 24 12:34:54 2014  2 relations: 40655
Wed Dec 24 12:34:54 2014  3 relations: 46091
Wed Dec 24 12:34:54 2014  4 relations: 45301
Wed Dec 24 12:34:54 2014  5 relations: 44716
Wed Dec 24 12:34:54 2014  6 relations: 41569
Wed Dec 24 12:34:54 2014  7 relations: 37190
Wed Dec 24 12:34:54 2014  8 relations: 32178
Wed Dec 24 12:34:54 2014  9 relations: 27250
Wed Dec 24 12:34:54 2014  10+ relations: 84161
Wed Dec 24 12:34:54 2014  heaviest cycle: 20 relations
Wed Dec 24 12:34:54 2014  commencing cycle optimization
Wed Dec 24 12:34:55 2014  start with 2693554 relations
Wed Dec 24 12:34:59 2014  pruned 82398 relations
Wed Dec 24 12:34:59 2014  memory use: 83.1 MB
Wed Dec 24 12:34:59 2014  distribution of cycle lengths:
Wed Dec 24 12:34:59 2014  1 relations: 30565
Wed Dec 24 12:34:59 2014  2 relations: 41533
Wed Dec 24 12:34:59 2014  3 relations: 47676
Wed Dec 24 12:34:59 2014  4 relations: 46869
Wed Dec 24 12:34:59 2014  5 relations: 46487
Wed Dec 24 12:34:59 2014  6 relations: 42761
Wed Dec 24 12:34:59 2014  7 relations: 38364
Wed Dec 24 12:34:59 2014  8 relations: 32617
Wed Dec 24 12:34:59 2014  9 relations: 27303
Wed Dec 24 12:34:59 2014  10+ relations: 75501
Wed Dec 24 12:34:59 2014  heaviest cycle: 20 relations
Wed Dec 24 12:35:00 2014  RelProcTime: 185
Wed Dec 24 12:35:00 2014  
Wed Dec 24 12:35:00 2014  commencing linear algebra
Wed Dec 24 12:35:00 2014  read 429676 cycles
Wed Dec 24 12:35:01 2014  cycles contain 1310508 unique relations
Wed Dec 24 12:35:15 2014  read 1310508 relations
Wed Dec 24 12:35:16 2014  using 20 quadratic characters above 134215844
Wed Dec 24 12:35:22 2014  building initial matrix
Wed Dec 24 12:35:37 2014  memory use: 162.0 MB
Wed Dec 24 12:35:38 2014  read 429676 cycles
Wed Dec 24 12:35:38 2014  matrix is 429499 x 429676 (127.7 MB) with weight 38173660 (88.84/col)
Wed Dec 24 12:35:38 2014  sparse part has weight 28756108 (66.93/col)
Wed Dec 24 12:35:41 2014  filtering completed in 2 passes
Wed Dec 24 12:35:41 2014  matrix is 429420 x 429597 (127.7 MB) with weight 38170220 (88.85/col)
Wed Dec 24 12:35:41 2014  sparse part has weight 28754494 (66.93/col)
Wed Dec 24 12:35:42 2014  matrix starts at (0, 0)
Wed Dec 24 12:35:42 2014  matrix is 429420 x 429597 (127.7 MB) with weight 38170220 (88.85/col)
Wed Dec 24 12:35:42 2014  sparse part has weight 28754494 (66.93/col)
Wed Dec 24 12:35:42 2014  saving the first 48 matrix rows for later
Wed Dec 24 12:35:42 2014  matrix includes 64 packed rows
Wed Dec 24 12:35:42 2014  matrix is 429372 x 429597 (120.3 MB) with weight 29943016 (69.70/col)
Wed Dec 24 12:35:42 2014  sparse part has weight 27241070 (63.41/col)
Wed Dec 24 12:35:42 2014  using block size 65536 for processor cache size 8192 kB
Wed Dec 24 12:35:44 2014  commencing Lanczos iteration (8 threads)
Wed Dec 24 12:35:44 2014  memory use: 116.1 MB
Wed Dec 24 12:36:03 2014  linear algebra at 2.8%, ETA 0h10m
Wed Dec 24 12:46:13 2014  lanczos halted after 6792 iterations (dim = 429361)
Wed Dec 24 12:46:13 2014  recovered 30 nontrivial dependencies
Wed Dec 24 12:46:13 2014  BLanczosTime: 673
Wed Dec 24 12:46:13 2014  
Wed Dec 24 12:46:13 2014  commencing square root phase
Wed Dec 24 12:46:13 2014  reading relations for dependency 1
Wed Dec 24 12:46:13 2014  read 214617 cycles
Wed Dec 24 12:46:13 2014  cycles contain 654806 unique relations
Wed Dec 24 12:46:24 2014  read 654806 relations
Wed Dec 24 12:46:26 2014  multiplying 654806 relations
Wed Dec 24 12:46:37 2014  multiply complete, coefficients have about 16.85 million bits
Wed Dec 24 12:46:37 2014  initial square root is modulo 69401
Wed Dec 24 12:46:55 2014  sqrtTime: 42
--
n: 211706793022273842706183831258101659606766856826450417813416886195536132418496258036448200480337160509978493155547
m: 10000000000000000000000000000000
deg: 5
c5: 47
c0: -5
skew: 0.64
# Murphy_E = 8.272e-10
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

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

94×10158-13

c159

name 名前Cyp
date 日付December 26, 2014 13:51:41 UTC 2014 年 12 月 26 日 (金) 22 時 51 分 41 秒 (日本時間)
composite number 合成数
241025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641<159>
prime factors 素因数
19313204015604493147365434193001232033930060650827189150572606936892253703<74>
12479837153426199624886164004165327138631056947878581894300186006241213129349267487247<86>
factorization results 素因数分解の結果
12/26/14 11:22:18 v1.34.3, 
12/26/14 11:22:18 v1.34.3, ****************************
12/26/14 11:22:18 v1.34.3, Starting factorization of 241025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641
12/26/14 11:22:18 v1.34.3, using pretesting plan: none
12/26/14 11:22:18 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/26/14 11:22:18 v1.34.3, ****************************
12/26/14 11:22:18 v1.34.3, nfs: commencing nfs on c159: 241025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641
12/26/14 11:22:18 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/26/14 11:22:18 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/26/14 11:26:46 v1.34.3, nfs: commencing lattice sieving with 8 threads
[40 lines snipped]
12/26/14 14:33:08 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/26/14 14:37:28 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/26/14 14:41:47 v1.34.3, nfs: commencing msieve filtering
12/26/14 14:43:34 v1.34.3, nfs: commencing msieve linear algebra
12/26/14 14:48:43 v1.34.3, nfs: commencing msieve sqrt
12/26/14 14:51:40 v1.34.3, prp86 = 12479837153426199624886164004165327138631056947878581894300186006241213129349267487247
12/26/14 14:51:40 v1.34.3, prp74 = 19313204015604493147365434193001232033930060650827189150572606936892253703
12/26/14 14:51:40 v1.34.3, NFS elapsed time = 12561.7498 seconds.
12/26/14 14:51:40 v1.34.3, 
12/26/14 14:51:40 v1.34.3, 
12/26/14 14:51:40 v1.34.3, Total factoring time = 12561.7507 seconds
--
Fri Dec 26 14:41:47 2014  
Fri Dec 26 14:41:47 2014  commencing relation filtering
Fri Dec 26 14:41:47 2014  estimated available RAM is 15987.3 MB
Fri Dec 26 14:41:47 2014  commencing duplicate removal, pass 1
Fri Dec 26 14:42:16 2014  found 1367764 hash collisions in 10063190 relations
Fri Dec 26 14:42:24 2014  added 359202 free relations
Fri Dec 26 14:42:24 2014  commencing duplicate removal, pass 2
Fri Dec 26 14:42:32 2014  found 928137 duplicates and 9494255 unique relations
Fri Dec 26 14:42:32 2014  memory use: 41.3 MB
Fri Dec 26 14:42:32 2014  reading ideals above 100000
Fri Dec 26 14:42:32 2014  commencing singleton removal, initial pass
Fri Dec 26 14:43:13 2014  memory use: 188.2 MB
Fri Dec 26 14:43:13 2014  reading all ideals from disk
Fri Dec 26 14:43:13 2014  memory use: 331.9 MB
Fri Dec 26 14:43:14 2014  keeping 9757411 ideals with weight <= 200, target excess is 50738
Fri Dec 26 14:43:14 2014  commencing in-memory singleton removal
Fri Dec 26 14:43:15 2014  begin with 9494255 relations and 9757411 unique ideals
Fri Dec 26 14:43:17 2014  reduce to 4568357 relations and 3717533 ideals in 11 passes
Fri Dec 26 14:43:17 2014  max relations containing the same ideal: 124
Fri Dec 26 14:43:18 2014  removing 1310399 relations and 914415 ideals in 395984 cliques
Fri Dec 26 14:43:19 2014  commencing in-memory singleton removal
Fri Dec 26 14:43:19 2014  begin with 3257958 relations and 3717533 unique ideals
Fri Dec 26 14:43:20 2014  reduce to 3008749 relations and 2528034 ideals in 8 passes
Fri Dec 26 14:43:20 2014  max relations containing the same ideal: 96
Fri Dec 26 14:43:20 2014  removing 1109734 relations and 713750 ideals in 395984 cliques
Fri Dec 26 14:43:21 2014  commencing in-memory singleton removal
Fri Dec 26 14:43:21 2014  begin with 1899015 relations and 2528034 unique ideals
Fri Dec 26 14:43:21 2014  reduce to 1666342 relations and 1551543 ideals in 8 passes
Fri Dec 26 14:43:21 2014  max relations containing the same ideal: 63
Fri Dec 26 14:43:22 2014  removing 236058 relations and 180116 ideals in 55942 cliques
Fri Dec 26 14:43:22 2014  commencing in-memory singleton removal
Fri Dec 26 14:43:22 2014  begin with 1430284 relations and 1551543 unique ideals
Fri Dec 26 14:43:22 2014  reduce to 1402042 relations and 1342242 ideals in 7 passes
Fri Dec 26 14:43:22 2014  max relations containing the same ideal: 57
Fri Dec 26 14:43:22 2014  relations with 0 large ideals: 1153
Fri Dec 26 14:43:22 2014  relations with 1 large ideals: 557
Fri Dec 26 14:43:22 2014  relations with 2 large ideals: 8353
Fri Dec 26 14:43:22 2014  relations with 3 large ideals: 55520
Fri Dec 26 14:43:22 2014  relations with 4 large ideals: 185499
Fri Dec 26 14:43:22 2014  relations with 5 large ideals: 352077
Fri Dec 26 14:43:22 2014  relations with 6 large ideals: 407257
Fri Dec 26 14:43:22 2014  relations with 7+ large ideals: 391626
Fri Dec 26 14:43:22 2014  commencing 2-way merge
Fri Dec 26 14:43:23 2014  reduce to 871184 relation sets and 811384 unique ideals
Fri Dec 26 14:43:23 2014  commencing full merge
Fri Dec 26 14:43:31 2014  memory use: 105.7 MB
Fri Dec 26 14:43:31 2014  found 448170 cycles, need 439584
Fri Dec 26 14:43:31 2014  weight of 439584 cycles is about 31145618 (70.85/cycle)
Fri Dec 26 14:43:31 2014  distribution of cycle lengths:
Fri Dec 26 14:43:31 2014  1 relations: 39877
Fri Dec 26 14:43:31 2014  2 relations: 42981
Fri Dec 26 14:43:31 2014  3 relations: 46147
Fri Dec 26 14:43:31 2014  4 relations: 45544
Fri Dec 26 14:43:31 2014  5 relations: 45314
Fri Dec 26 14:43:31 2014  6 relations: 41763
Fri Dec 26 14:43:31 2014  7 relations: 37515
Fri Dec 26 14:43:31 2014  8 relations: 31706
Fri Dec 26 14:43:31 2014  9 relations: 26689
Fri Dec 26 14:43:31 2014  10+ relations: 82048
Fri Dec 26 14:43:31 2014  heaviest cycle: 20 relations
Fri Dec 26 14:43:31 2014  commencing cycle optimization
Fri Dec 26 14:43:31 2014  start with 2676719 relations
Fri Dec 26 14:43:33 2014  pruned 82220 relations
Fri Dec 26 14:43:33 2014  memory use: 84.5 MB
Fri Dec 26 14:43:33 2014  distribution of cycle lengths:
Fri Dec 26 14:43:33 2014  1 relations: 39877
Fri Dec 26 14:43:33 2014  2 relations: 43869
Fri Dec 26 14:43:33 2014  3 relations: 47749
Fri Dec 26 14:43:33 2014  4 relations: 47133
Fri Dec 26 14:43:33 2014  5 relations: 47124
Fri Dec 26 14:43:33 2014  6 relations: 43143
Fri Dec 26 14:43:33 2014  7 relations: 38483
Fri Dec 26 14:43:33 2014  8 relations: 32334
Fri Dec 26 14:43:33 2014  9 relations: 26630
Fri Dec 26 14:43:33 2014  10+ relations: 73242
Fri Dec 26 14:43:33 2014  heaviest cycle: 20 relations
Fri Dec 26 14:43:34 2014  RelProcTime: 107
Fri Dec 26 14:43:34 2014  
Fri Dec 26 14:43:34 2014  commencing linear algebra
Fri Dec 26 14:43:34 2014  read 439584 cycles
Fri Dec 26 14:43:34 2014  cycles contain 1360416 unique relations
Fri Dec 26 14:43:44 2014  read 1360416 relations
Fri Dec 26 14:43:44 2014  using 20 quadratic characters above 134210864
Fri Dec 26 14:43:49 2014  building initial matrix
Fri Dec 26 14:43:55 2014  memory use: 168.6 MB
Fri Dec 26 14:43:56 2014  read 439584 cycles
Fri Dec 26 14:43:56 2014  matrix is 439405 x 439584 (131.8 MB) with weight 39243548 (89.27/col)
Fri Dec 26 14:43:56 2014  sparse part has weight 29702598 (67.57/col)
Fri Dec 26 14:43:57 2014  filtering completed in 2 passes
Fri Dec 26 14:43:57 2014  matrix is 439266 x 439445 (131.7 MB) with weight 39238221 (89.29/col)
Fri Dec 26 14:43:57 2014  sparse part has weight 29700335 (67.59/col)
Fri Dec 26 14:43:58 2014  matrix starts at (0, 0)
Fri Dec 26 14:43:58 2014  matrix is 439266 x 439445 (131.7 MB) with weight 39238221 (89.29/col)
Fri Dec 26 14:43:58 2014  sparse part has weight 29700335 (67.59/col)
Fri Dec 26 14:43:58 2014  saving the first 48 matrix rows for later
Fri Dec 26 14:43:58 2014  matrix includes 64 packed rows
Fri Dec 26 14:43:58 2014  matrix is 439218 x 439445 (124.7 MB) with weight 31101529 (70.77/col)
Fri Dec 26 14:43:58 2014  sparse part has weight 28292864 (64.38/col)
Fri Dec 26 14:43:58 2014  using block size 65536 for processor cache size 8192 kB
Fri Dec 26 14:43:59 2014  commencing Lanczos iteration (8 threads)
Fri Dec 26 14:43:59 2014  memory use: 120.4 MB
Fri Dec 26 14:44:07 2014  linear algebra at 2.8%, ETA 0h 4m
Fri Dec 26 14:48:43 2014  lanczos halted after 6948 iterations (dim = 439218)
Fri Dec 26 14:48:43 2014  recovered 38 nontrivial dependencies
Fri Dec 26 14:48:43 2014  BLanczosTime: 309
Fri Dec 26 14:48:43 2014  
Fri Dec 26 14:48:43 2014  commencing square root phase
Fri Dec 26 14:48:43 2014  reading relations for dependency 1
Fri Dec 26 14:48:43 2014  read 220268 cycles
Fri Dec 26 14:48:43 2014  cycles contain 681250 unique relations
Fri Dec 26 14:48:51 2014  read 681250 relations
Fri Dec 26 14:48:52 2014  multiplying 681250 relations
Fri Dec 26 14:49:07 2014  multiply complete, coefficients have about 24.70 million bits
Fri Dec 26 14:49:07 2014  initial square root is modulo 12397171
Fri Dec 26 14:49:28 2014  GCD is 1, no factor found
Fri Dec 26 14:49:28 2014  reading relations for dependency 2
Fri Dec 26 14:49:28 2014  read 219055 cycles
Fri Dec 26 14:49:28 2014  cycles contain 678164 unique relations
Fri Dec 26 14:49:36 2014  read 678164 relations
Fri Dec 26 14:49:37 2014  multiplying 678164 relations
Fri Dec 26 14:49:51 2014  multiply complete, coefficients have about 24.59 million bits
Fri Dec 26 14:49:51 2014  initial square root is modulo 11510531
Fri Dec 26 14:50:11 2014  Newton iteration failed to converge
Fri Dec 26 14:50:11 2014  algebraic square root failed
Fri Dec 26 14:50:11 2014  reading relations for dependency 3
Fri Dec 26 14:50:11 2014  read 219879 cycles
Fri Dec 26 14:50:11 2014  cycles contain 680258 unique relations
Fri Dec 26 14:50:19 2014  read 680258 relations
Fri Dec 26 14:50:20 2014  multiplying 680258 relations
Fri Dec 26 14:50:35 2014  multiply complete, coefficients have about 24.66 million bits
Fri Dec 26 14:50:35 2014  initial square root is modulo 12104021
Fri Dec 26 14:50:55 2014  Newton iteration failed to converge
Fri Dec 26 14:50:55 2014  algebraic square root failed
Fri Dec 26 14:50:55 2014  reading relations for dependency 4
Fri Dec 26 14:50:55 2014  read 219857 cycles
Fri Dec 26 14:50:55 2014  cycles contain 680128 unique relations
Fri Dec 26 14:51:03 2014  read 680128 relations
Fri Dec 26 14:51:05 2014  multiplying 680128 relations
Fri Dec 26 14:51:19 2014  multiply complete, coefficients have about 24.66 million bits
Fri Dec 26 14:51:19 2014  initial square root is modulo 12052331
Fri Dec 26 14:51:40 2014  sqrtTime: 177
--
n: 241025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641
m: 10000000000000000000000000000000
deg: 5
c5: 94000
c0: -1
skew: 0.10
# Murphy_E = 5.067e-10
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:07 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 7 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:28 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 28 秒 (日本時間)

94×10159-13

c146

name 名前Cyp
date 日付December 27, 2014 06:02:50 UTC 2014 年 12 月 27 日 (土) 15 時 2 分 50 秒 (日本時間)
composite number 合成数
31223356900519204761940400689422329709241452146991432118324419641880622110130900264622642439051246060246181204242937875520818872436991599035293189<146>
prime factors 素因数
9422163483462252855571033553360803771<37>
209256024656407722297020575759816990460447758870153963<54>
15836200343876315470917082744148881872105140313162666493<56>
factorization results 素因数分解の結果
12/27/14 03:56:00 v1.34.3, 
12/27/14 03:56:00 v1.34.3, ****************************
12/27/14 03:56:00 v1.34.3, Starting factorization of 31223356900519204761940400689422329709241452146991432118324419641880622110130900264622642439051246060246181204242937875520818872436991599035293189
12/27/14 03:56:00 v1.34.3, using pretesting plan: none
12/27/14 03:56:00 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/27/14 03:56:00 v1.34.3, ****************************
12/27/14 03:56:00 v1.34.3, nfs: commencing nfs on c146: 31223356900519204761940400689422329709241452146991432118324419641880622110130900264622642439051246060246181204242937875520818872436991599035293189
12/27/14 03:56:00 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/27/14 03:56:00 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/27/14 04:00:19 v1.34.3, nfs: commencing lattice sieving with 8 threads
[35 lines snipped]
12/27/14 06:41:26 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/27/14 06:46:00 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/27/14 06:50:33 v1.34.3, nfs: commencing msieve filtering
12/27/14 06:52:23 v1.34.3, nfs: commencing msieve linear algebra
12/27/14 07:00:41 v1.34.3, nfs: commencing msieve sqrt
12/27/14 07:02:49 v1.34.3, prp37 = 9422163483462252855571033553360803771
12/27/14 07:02:49 v1.34.3, prp54 = 209256024656407722297020575759816990460447758870153963
12/27/14 07:02:49 v1.34.3, prp56 = 15836200343876315470917082744148881872105140313162666493
12/27/14 07:02:49 v1.34.3, NFS elapsed time = 11209.4541 seconds.
12/27/14 07:02:49 v1.34.3, 
12/27/14 07:02:49 v1.34.3, 
12/27/14 07:02:49 v1.34.3, Total factoring time = 11209.4547 seconds
--
Sat Dec 27 06:50:33 2014  
Sat Dec 27 06:50:33 2014  commencing relation filtering
Sat Dec 27 06:50:33 2014  estimated available RAM is 15987.3 MB
Sat Dec 27 06:50:33 2014  commencing duplicate removal, pass 1
Sat Dec 27 06:51:00 2014  found 1254458 hash collisions in 10079526 relations
Sat Dec 27 06:51:09 2014  added 366947 free relations
Sat Dec 27 06:51:09 2014  commencing duplicate removal, pass 2
Sat Dec 27 06:51:17 2014  found 773317 duplicates and 9673156 unique relations
Sat Dec 27 06:51:17 2014  memory use: 41.3 MB
Sat Dec 27 06:51:17 2014  reading ideals above 100000
Sat Dec 27 06:51:17 2014  commencing singleton removal, initial pass
Sat Dec 27 06:51:59 2014  memory use: 344.5 MB
Sat Dec 27 06:51:59 2014  reading all ideals from disk
Sat Dec 27 06:51:59 2014  memory use: 340.9 MB
Sat Dec 27 06:51:59 2014  keeping 10284509 ideals with weight <= 200, target excess is 50730
Sat Dec 27 06:52:00 2014  commencing in-memory singleton removal
Sat Dec 27 06:52:00 2014  begin with 9673156 relations and 10284509 unique ideals
Sat Dec 27 06:52:03 2014  reduce to 4326105 relations and 3779257 ideals in 14 passes
Sat Dec 27 06:52:03 2014  max relations containing the same ideal: 121
Sat Dec 27 06:52:04 2014  removing 1072060 relations and 828059 ideals in 244001 cliques
Sat Dec 27 06:52:04 2014  commencing in-memory singleton removal
Sat Dec 27 06:52:04 2014  begin with 3254045 relations and 3779257 unique ideals
Sat Dec 27 06:52:05 2014  reduce to 3039067 relations and 2720909 ideals in 9 passes
Sat Dec 27 06:52:05 2014  max relations containing the same ideal: 92
Sat Dec 27 06:52:06 2014  removing 867317 relations and 623316 ideals in 244001 cliques
Sat Dec 27 06:52:06 2014  commencing in-memory singleton removal
Sat Dec 27 06:52:06 2014  begin with 2171750 relations and 2720909 unique ideals
Sat Dec 27 06:52:07 2014  reduce to 1982198 relations and 1892262 ideals in 10 passes
Sat Dec 27 06:52:07 2014  max relations containing the same ideal: 68
Sat Dec 27 06:52:08 2014  removing 179978 relations and 148889 ideals in 31089 cliques
Sat Dec 27 06:52:08 2014  commencing in-memory singleton removal
Sat Dec 27 06:52:08 2014  begin with 1802220 relations and 1892262 unique ideals
Sat Dec 27 06:52:08 2014  reduce to 1790954 relations and 1731949 ideals in 7 passes
Sat Dec 27 06:52:08 2014  max relations containing the same ideal: 65
Sat Dec 27 06:52:09 2014  relations with 0 large ideals: 1182
Sat Dec 27 06:52:09 2014  relations with 1 large ideals: 429
Sat Dec 27 06:52:09 2014  relations with 2 large ideals: 6998
Sat Dec 27 06:52:09 2014  relations with 3 large ideals: 50536
Sat Dec 27 06:52:09 2014  relations with 4 large ideals: 194147
Sat Dec 27 06:52:09 2014  relations with 5 large ideals: 415053
Sat Dec 27 06:52:09 2014  relations with 6 large ideals: 534809
Sat Dec 27 06:52:09 2014  relations with 7+ large ideals: 587800
Sat Dec 27 06:52:09 2014  commencing 2-way merge
Sat Dec 27 06:52:09 2014  reduce to 1065466 relation sets and 1006461 unique ideals
Sat Dec 27 06:52:09 2014  commencing full merge
Sat Dec 27 06:52:19 2014  memory use: 126.7 MB
Sat Dec 27 06:52:19 2014  found 542513 cycles, need 534661
Sat Dec 27 06:52:19 2014  weight of 534661 cycles is about 37525207 (70.19/cycle)
Sat Dec 27 06:52:19 2014  distribution of cycle lengths:
Sat Dec 27 06:52:19 2014  1 relations: 56111
Sat Dec 27 06:52:19 2014  2 relations: 53508
Sat Dec 27 06:52:19 2014  3 relations: 56301
Sat Dec 27 06:52:19 2014  4 relations: 54475
Sat Dec 27 06:52:19 2014  5 relations: 51867
Sat Dec 27 06:52:19 2014  6 relations: 47877
Sat Dec 27 06:52:19 2014  7 relations: 42811
Sat Dec 27 06:52:19 2014  8 relations: 37159
Sat Dec 27 06:52:19 2014  9 relations: 31609
Sat Dec 27 06:52:19 2014  10+ relations: 102943
Sat Dec 27 06:52:19 2014  heaviest cycle: 20 relations
Sat Dec 27 06:52:19 2014  commencing cycle optimization
Sat Dec 27 06:52:20 2014  start with 3243288 relations
Sat Dec 27 06:52:22 2014  pruned 81911 relations
Sat Dec 27 06:52:22 2014  memory use: 105.9 MB
Sat Dec 27 06:52:22 2014  distribution of cycle lengths:
Sat Dec 27 06:52:22 2014  1 relations: 56111
Sat Dec 27 06:52:22 2014  2 relations: 54588
Sat Dec 27 06:52:22 2014  3 relations: 58125
Sat Dec 27 06:52:22 2014  4 relations: 55920
Sat Dec 27 06:52:22 2014  5 relations: 53405
Sat Dec 27 06:52:22 2014  6 relations: 49040
Sat Dec 27 06:52:22 2014  7 relations: 43615
Sat Dec 27 06:52:22 2014  8 relations: 37513
Sat Dec 27 06:52:22 2014  9 relations: 31773
Sat Dec 27 06:52:22 2014  10+ relations: 94571
Sat Dec 27 06:52:22 2014  heaviest cycle: 20 relations
Sat Dec 27 06:52:23 2014  RelProcTime: 110
Sat Dec 27 06:52:23 2014  
Sat Dec 27 06:52:23 2014  commencing linear algebra
Sat Dec 27 06:52:23 2014  read 534661 cycles
Sat Dec 27 06:52:23 2014  cycles contain 1747607 unique relations
Sat Dec 27 06:52:33 2014  read 1747607 relations
Sat Dec 27 06:52:34 2014  using 20 quadratic characters above 134212680
Sat Dec 27 06:52:40 2014  building initial matrix
Sat Dec 27 06:52:48 2014  memory use: 211.2 MB
Sat Dec 27 06:52:48 2014  read 534661 cycles
Sat Dec 27 06:52:48 2014  matrix is 534484 x 534661 (159.9 MB) with weight 47390155 (88.64/col)
Sat Dec 27 06:52:48 2014  sparse part has weight 36033216 (67.39/col)
Sat Dec 27 06:52:51 2014  filtering completed in 2 passes
Sat Dec 27 06:52:51 2014  matrix is 534247 x 534424 (159.9 MB) with weight 47381997 (88.66/col)
Sat Dec 27 06:52:51 2014  sparse part has weight 36030046 (67.42/col)
Sat Dec 27 06:52:52 2014  matrix starts at (0, 0)
Sat Dec 27 06:52:52 2014  matrix is 534247 x 534424 (159.9 MB) with weight 47381997 (88.66/col)
Sat Dec 27 06:52:52 2014  sparse part has weight 36030046 (67.42/col)
Sat Dec 27 06:52:52 2014  saving the first 48 matrix rows for later
Sat Dec 27 06:52:52 2014  matrix includes 64 packed rows
Sat Dec 27 06:52:52 2014  matrix is 534199 x 534424 (150.9 MB) with weight 37344696 (69.88/col)
Sat Dec 27 06:52:52 2014  sparse part has weight 34200675 (64.00/col)
Sat Dec 27 06:52:52 2014  using block size 65536 for processor cache size 8192 kB
Sat Dec 27 06:52:53 2014  commencing Lanczos iteration (8 threads)
Sat Dec 27 06:52:53 2014  memory use: 146.5 MB
Sat Dec 27 06:52:55 2014  linear algebra at 0.6%, ETA 0h 5m
Sat Dec 27 07:00:41 2014  lanczos halted after 8450 iterations (dim = 534198)
Sat Dec 27 07:00:41 2014  recovered 37 nontrivial dependencies
Sat Dec 27 07:00:41 2014  BLanczosTime: 498
Sat Dec 27 07:00:41 2014  
Sat Dec 27 07:00:41 2014  commencing square root phase
Sat Dec 27 07:00:41 2014  reading relations for dependency 1
Sat Dec 27 07:00:41 2014  read 267603 cycles
Sat Dec 27 07:00:42 2014  cycles contain 875124 unique relations
Sat Dec 27 07:00:50 2014  read 875124 relations
Sat Dec 27 07:00:52 2014  multiplying 875124 relations
Sat Dec 27 07:01:06 2014  multiply complete, coefficients have about 23.33 million bits
Sat Dec 27 07:01:06 2014  initial square root is modulo 5009021
Sat Dec 27 07:01:24 2014  found factor: 15836200343876315470917082744148881872105140313162666493
Sat Dec 27 07:01:24 2014  reading relations for dependency 2
Sat Dec 27 07:01:24 2014  read 266791 cycles
Sat Dec 27 07:01:24 2014  cycles contain 872516 unique relations
Sat Dec 27 07:01:32 2014  read 872516 relations
Sat Dec 27 07:01:34 2014  multiplying 872516 relations
Sat Dec 27 07:01:48 2014  multiply complete, coefficients have about 23.26 million bits
Sat Dec 27 07:01:48 2014  initial square root is modulo 4784821
Sat Dec 27 07:02:06 2014  GCD is N, no factor found
Sat Dec 27 07:02:06 2014  reading relations for dependency 3
Sat Dec 27 07:02:07 2014  read 267135 cycles
Sat Dec 27 07:02:07 2014  cycles contain 872996 unique relations
Sat Dec 27 07:02:15 2014  read 872996 relations
Sat Dec 27 07:02:17 2014  multiplying 872996 relations
Sat Dec 27 07:02:31 2014  multiply complete, coefficients have about 23.27 million bits
Sat Dec 27 07:02:31 2014  initial square root is modulo 4822921
Sat Dec 27 07:02:49 2014  sqrtTime: 128
--
n: 31223356900519204761940400689422329709241452146991432118324419641880622110130900264622642439051246060246181204242937875520818872436991599035293189
m: 100000000000000000000000000000000
deg: 5
c5: 47
c0: -5
skew: 0.64
# Murphy_E = 5.297e-10
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:19:27 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 27 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:16 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 16 秒 (日本時間)

94×10160-13

c148

name 名前Cyp
date 日付December 27, 2014 15:23:59 UTC 2014 年 12 月 28 日 (日) 0 時 23 分 59 秒 (日本時間)
composite number 合成数
1750093540028379036510442942761120927701375811536239949851669683602412556861011346543366141292923516585144691954723518487742440936866402244991068149<148>
prime factors 素因数
31416617755544101203056524464420791693058225404924442263387266118122922569<74>
55705981899325857101372584345891319870268877419836628448575911112688031821<74>
factorization results 素因数分解の結果
12/27/14 13:29:43 v1.34.3, 
12/27/14 13:29:43 v1.34.3, ****************************
12/27/14 13:29:43 v1.34.3, Starting factorization of 1750093540028379036510442942761120927701375811536239949851669683602412556861011346543366141292923516585144691954723518487742440936866402244991068149
12/27/14 13:29:43 v1.34.3, using pretesting plan: none
12/27/14 13:29:43 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/27/14 13:29:43 v1.34.3, ****************************
12/27/14 13:29:43 v1.34.3, nfs: commencing nfs on c148: 1750093540028379036510442942761120927701375811536239949851669683602412556861011346543366141292923516585144691954723518487742440936866402244991068149
12/27/14 13:29:43 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/27/14 13:29:43 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/27/14 13:34:56 v1.34.3, nfs: commencing lattice sieving with 8 threads
[30 lines snipped]
12/27/14 16:06:01 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/27/14 16:10:36 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/27/14 16:15:19 v1.34.3, nfs: commencing msieve filtering
12/27/14 16:17:08 v1.34.3, nfs: commencing msieve linear algebra
12/27/14 16:23:18 v1.34.3, nfs: commencing msieve sqrt
12/27/14 16:23:58 v1.34.3, prp74 = 31416617755544101203056524464420791693058225404924442263387266118122922569
12/27/14 16:23:58 v1.34.3, prp74 = 55705981899325857101372584345891319870268877419836628448575911112688031821
12/27/14 16:23:58 v1.34.3, NFS elapsed time = 10454.6647 seconds.
12/27/14 16:23:58 v1.34.3, 
12/27/14 16:23:58 v1.34.3, 
12/27/14 16:23:58 v1.34.3, Total factoring time = 10454.6655 seconds
--
Sat Dec 27 16:15:19 2014  
Sat Dec 27 16:15:19 2014  commencing relation filtering
Sat Dec 27 16:15:19 2014  estimated available RAM is 15987.3 MB
Sat Dec 27 16:15:19 2014  commencing duplicate removal, pass 1
Sat Dec 27 16:15:46 2014  found 1232344 hash collisions in 10261218 relations
Sat Dec 27 16:15:55 2014  added 366339 free relations
Sat Dec 27 16:15:55 2014  commencing duplicate removal, pass 2
Sat Dec 27 16:16:03 2014  found 712913 duplicates and 9914644 unique relations
Sat Dec 27 16:16:03 2014  memory use: 41.3 MB
Sat Dec 27 16:16:03 2014  reading ideals above 100000
Sat Dec 27 16:16:03 2014  commencing singleton removal, initial pass
Sat Dec 27 16:16:45 2014  memory use: 344.5 MB
Sat Dec 27 16:16:45 2014  reading all ideals from disk
Sat Dec 27 16:16:45 2014  memory use: 347.3 MB
Sat Dec 27 16:16:45 2014  keeping 10336341 ideals with weight <= 200, target excess is 51954
Sat Dec 27 16:16:46 2014  commencing in-memory singleton removal
Sat Dec 27 16:16:46 2014  begin with 9914644 relations and 10336341 unique ideals
Sat Dec 27 16:16:50 2014  reduce to 4624598 relations and 3922733 ideals in 15 passes
Sat Dec 27 16:16:50 2014  max relations containing the same ideal: 121
Sat Dec 27 16:16:51 2014  removing 1246269 relations and 925470 ideals in 320799 cliques
Sat Dec 27 16:16:51 2014  commencing in-memory singleton removal
Sat Dec 27 16:16:51 2014  begin with 3378329 relations and 3922733 unique ideals
Sat Dec 27 16:16:52 2014  reduce to 3120740 relations and 2717204 ideals in 9 passes
Sat Dec 27 16:16:52 2014  max relations containing the same ideal: 91
Sat Dec 27 16:16:53 2014  removing 1024492 relations and 703693 ideals in 320799 cliques
Sat Dec 27 16:16:53 2014  commencing in-memory singleton removal
Sat Dec 27 16:16:53 2014  begin with 2096248 relations and 2717204 unique ideals
Sat Dec 27 16:16:54 2014  reduce to 1861319 relations and 1753866 ideals in 8 passes
Sat Dec 27 16:16:54 2014  max relations containing the same ideal: 64
Sat Dec 27 16:16:54 2014  removing 235468 relations and 188282 ideals in 47186 cliques
Sat Dec 27 16:16:54 2014  commencing in-memory singleton removal
Sat Dec 27 16:16:54 2014  begin with 1625851 relations and 1753866 unique ideals
Sat Dec 27 16:16:55 2014  reduce to 1603271 relations and 1542413 ideals in 9 passes
Sat Dec 27 16:16:55 2014  max relations containing the same ideal: 58
Sat Dec 27 16:16:55 2014  relations with 0 large ideals: 1232
Sat Dec 27 16:16:55 2014  relations with 1 large ideals: 475
Sat Dec 27 16:16:55 2014  relations with 2 large ideals: 8097
Sat Dec 27 16:16:55 2014  relations with 3 large ideals: 55824
Sat Dec 27 16:16:55 2014  relations with 4 large ideals: 199725
Sat Dec 27 16:16:55 2014  relations with 5 large ideals: 394589
Sat Dec 27 16:16:55 2014  relations with 6 large ideals: 473764
Sat Dec 27 16:16:55 2014  relations with 7+ large ideals: 469565
Sat Dec 27 16:16:55 2014  commencing 2-way merge
Sat Dec 27 16:16:56 2014  reduce to 960301 relation sets and 899443 unique ideals
Sat Dec 27 16:16:56 2014  commencing full merge
Sat Dec 27 16:17:04 2014  memory use: 113.3 MB
Sat Dec 27 16:17:04 2014  found 488052 cycles, need 479643
Sat Dec 27 16:17:04 2014  weight of 479643 cycles is about 33790473 (70.45/cycle)
Sat Dec 27 16:17:04 2014  distribution of cycle lengths:
Sat Dec 27 16:17:04 2014  1 relations: 48010
Sat Dec 27 16:17:04 2014  2 relations: 47164
Sat Dec 27 16:17:04 2014  3 relations: 49075
Sat Dec 27 16:17:04 2014  4 relations: 48931
Sat Dec 27 16:17:04 2014  5 relations: 46765
Sat Dec 27 16:17:04 2014  6 relations: 44010
Sat Dec 27 16:17:04 2014  7 relations: 39277
Sat Dec 27 16:17:04 2014  8 relations: 34164
Sat Dec 27 16:17:04 2014  9 relations: 28989
Sat Dec 27 16:17:04 2014  10+ relations: 93258
Sat Dec 27 16:17:04 2014  heaviest cycle: 20 relations
Sat Dec 27 16:17:04 2014  commencing cycle optimization
Sat Dec 27 16:17:05 2014  start with 2933850 relations
Sat Dec 27 16:17:07 2014  pruned 77194 relations
Sat Dec 27 16:17:07 2014  memory use: 95.0 MB
Sat Dec 27 16:17:07 2014  distribution of cycle lengths:
Sat Dec 27 16:17:07 2014  1 relations: 48010
Sat Dec 27 16:17:07 2014  2 relations: 48122
Sat Dec 27 16:17:07 2014  3 relations: 50689
Sat Dec 27 16:17:07 2014  4 relations: 50358
Sat Dec 27 16:17:07 2014  5 relations: 48266
Sat Dec 27 16:17:07 2014  6 relations: 45056
Sat Dec 27 16:17:07 2014  7 relations: 40270
Sat Dec 27 16:17:07 2014  8 relations: 34637
Sat Dec 27 16:17:07 2014  9 relations: 28961
Sat Dec 27 16:17:07 2014  10+ relations: 85274
Sat Dec 27 16:17:07 2014  heaviest cycle: 20 relations
Sat Dec 27 16:17:08 2014  RelProcTime: 109
Sat Dec 27 16:17:08 2014  
Sat Dec 27 16:17:08 2014  commencing linear algebra
Sat Dec 27 16:17:08 2014  read 479643 cycles
Sat Dec 27 16:17:08 2014  cycles contain 1557247 unique relations
Sat Dec 27 16:17:18 2014  read 1557247 relations
Sat Dec 27 16:17:19 2014  using 20 quadratic characters above 134217690
Sat Dec 27 16:17:24 2014  building initial matrix
Sat Dec 27 16:17:31 2014  memory use: 191.5 MB
Sat Dec 27 16:17:31 2014  read 479643 cycles
Sat Dec 27 16:17:31 2014  matrix is 479466 x 479643 (143.7 MB) with weight 43363519 (90.41/col)
Sat Dec 27 16:17:31 2014  sparse part has weight 32383891 (67.52/col)
Sat Dec 27 16:17:33 2014  filtering completed in 2 passes
Sat Dec 27 16:17:33 2014  matrix is 479249 x 479426 (143.6 MB) with weight 43356639 (90.43/col)
Sat Dec 27 16:17:33 2014  sparse part has weight 32381984 (67.54/col)
Sat Dec 27 16:17:34 2014  matrix starts at (0, 0)
Sat Dec 27 16:17:34 2014  matrix is 479249 x 479426 (143.6 MB) with weight 43356639 (90.43/col)
Sat Dec 27 16:17:34 2014  sparse part has weight 32381984 (67.54/col)
Sat Dec 27 16:17:34 2014  saving the first 48 matrix rows for later
Sat Dec 27 16:17:34 2014  matrix includes 64 packed rows
Sat Dec 27 16:17:34 2014  matrix is 479201 x 479426 (136.5 MB) with weight 34310894 (71.57/col)
Sat Dec 27 16:17:34 2014  sparse part has weight 30999223 (64.66/col)
Sat Dec 27 16:17:34 2014  using block size 65536 for processor cache size 8192 kB
Sat Dec 27 16:17:35 2014  commencing Lanczos iteration (8 threads)
Sat Dec 27 16:17:35 2014  memory use: 132.0 MB
Sat Dec 27 16:17:44 2014  linear algebra at 2.5%, ETA 0h 5m
Sat Dec 27 16:23:17 2014  lanczos halted after 7578 iterations (dim = 479196)
Sat Dec 27 16:23:18 2014  recovered 34 nontrivial dependencies
Sat Dec 27 16:23:18 2014  BLanczosTime: 370
Sat Dec 27 16:23:18 2014  
Sat Dec 27 16:23:18 2014  commencing square root phase
Sat Dec 27 16:23:18 2014  reading relations for dependency 1
Sat Dec 27 16:23:18 2014  read 240062 cycles
Sat Dec 27 16:23:18 2014  cycles contain 779122 unique relations
Sat Dec 27 16:23:26 2014  read 779122 relations
Sat Dec 27 16:23:27 2014  multiplying 779122 relations
Sat Dec 27 16:23:41 2014  multiply complete, coefficients have about 21.26 million bits
Sat Dec 27 16:23:41 2014  initial square root is modulo 1280651
Sat Dec 27 16:23:58 2014  sqrtTime: 40
--
n: 1750093540028379036510442942761120927701375811536239949851669683602412556861011346543366141292923516585144691954723518487742440936866402244991068149
m: 100000000000000000000000000000000
deg: 5
c5: 94
c0: -1
skew: 0.40
# Murphy_E = 5.981e-10
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:19:28 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 28 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:17 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 17 秒 (日本時間)

94×10163-13

c118

name 名前Serge Batalov
date 日付December 21, 2014 01:51:08 UTC 2014 年 12 月 21 日 (日) 10 時 51 分 8 秒 (日本時間)
composite number 合成数
2812993746512220444824827438099498142664349529363925098613555014443942612080359451761748447925230464486499429077647717<118>
prime factors 素因数
979967879753650801272504460025560567<36>
2870495864843411807619236736288622835853527192480853375205758095098435762666296451<82>
factorization results 素因数分解の結果
Input number is 2812993746512220444824827438099498142664349529363925098613555014443942612080359451761748447925230464486499429077647717 (118 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2212330137
Step 1 took 7878ms
Step 2 took 6096ms
********** Factor found in step 2: 979967879753650801272504460025560567
Found probable prime factor of 36 digits: 979967879753650801272504460025560567
Probable prime cofactor 2870495864843411807619236736288622835853527192480853375205758095098435762666296451 has 82 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 21:19:28 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 28 秒 (日本時間)

94×10165-13

c141

name 名前Jo Yeong Uk
date 日付March 1, 2015 00:12:36 UTC 2015 年 3 月 1 日 (日) 9 時 12 分 36 秒 (日本時間)
composite number 合成数
727089125384380733431056249538196216132847605439949709694002948844139514014120196889471583598851651263116867333282762361284670392813979753509<141>
prime factors 素因数
6482967248324114042159465380349728160996377033<46>
112153755762430797075581550251330400805577314638101427174723572668536293218890921524773505979773<96>
factorization results 素因数分解の結果
Number: 31333_165
N=727089125384380733431056249538196216132847605439949709694002948844139514014120196889471583598851651263116867333282762361284670392813979753509
  ( 141 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=6482967248324114042159465380349728160996377033
 r2=112153755762430797075581550251330400805577314638101427174723572668536293218890921524773505979773
Version: 
Total time: 12.17 hours.
Scaled time: 62.89 units (timescale=5.167).
Factorization parameters were as follows:
n: 727089125384380733431056249538196216132847605439949709694002948844139514014120196889471583598851651263116867333282762361284670392813979753509
m: 1000000000000000000000000000000000
deg: 5
c5: 94
c0: -1
skew: 0.40
# Murphy_E = 3.81e-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, 3800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9708033
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 704716 x 704964
Total sieving time: 11.27 hours.
Total relation processing time: 0.40 hours.
Matrix solve time: 0.46 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 12.17 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 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)
403e62392300Serge BatalovDecember 20, 2014 21:19:29 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 29 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:17 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 17 秒 (日本時間)
1792Youcef LemsaferJanuary 28, 2015 20:22:30 UTC 2015 年 1 月 29 日 (木) 5 時 22 分 30 秒 (日本時間)

94×10167-13

c155

name 名前Serge Batalov
date 日付December 21, 2014 01:51:11 UTC 2014 年 12 月 21 日 (日) 10 時 51 分 11 秒 (日本時間)
composite number 合成数
50422920819934204919694135738054858289331793832593576615197029370290046423206305787584887525068696054643465088228222819969369511209282904827076492539621767<155>
prime factors 素因数
35461248129429839285142785451373415189<38>
composite cofactor 合成数の残り
1421916133236366309441776230005156249438873929706336143023078999638764763664121305231561938494902221058007896517525803<118>
factorization results 素因数分解の結果
Input number is 50422920819934204919694135738054858289331793832593576615197029370290046423206305787584887525068696054643465088228222819969369511209282904827076492539621767 (155 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1880010688
Step 1 took 11639ms
Step 2 took 7970ms
********** Factor found in step 2: 35461248129429839285142785451373415189
Found probable prime factor of 38 digits: 35461248129429839285142785451373415189
Composite cofactor 1421916133236366309441776230005156249438873929706336143023078999638764763664121305231561938494902221058007896517525803 has 118 digits

c118

name 名前Cyp
date 日付December 24, 2014 09:59:49 UTC 2014 年 12 月 24 日 (水) 18 時 59 分 49 秒 (日本時間)
composite number 合成数
1421916133236366309441776230005156249438873929706336143023078999638764763664121305231561938494902221058007896517525803<118>
prime factors 素因数
991267180638384028302145991895643281046760720442512479<54>
1434442863649173672607773416002077284053836828182128108405925557<64>
factorization results 素因数分解の結果
12/24/14 04:12:10 v1.34.3, 
12/24/14 04:12:10 v1.34.3, ****************************
12/24/14 04:12:10 v1.34.3, Starting factorization of 1421916133236366309441776230005156249438873929706336143023078999638764763664121305231561938494902221058007896517525803
12/24/14 04:12:10 v1.34.3, using pretesting plan: none
12/24/14 04:12:10 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/24/14 04:12:10 v1.34.3, ****************************
12/24/14 04:12:10 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C118
12/24/14 04:12:10 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C118
12/24/14 04:12:10 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C118
12/24/14 04:12:10 v1.34.3, final ECM pretested depth: 0.00
12/24/14 04:12:10 v1.34.3, scheduler: switching to sieve method
12/24/14 04:12:10 v1.34.3, nfs: commencing nfs on c118: 1421916133236366309441776230005156249438873929706336143023078999638764763664121305231561938494902221058007896517525803
12/24/14 04:12:10 v1.34.3, nfs: commencing poly selection with 8 threads
12/24/14 04:12:10 v1.34.3, nfs: setting deadline of 1293 seconds
12/24/14 04:34:23 v1.34.3, nfs: completed 152 ranges of size 250 in 1332.9372 seconds
12/24/14 04:34:23 v1.34.3, nfs: best poly = # norm 3.663014e-11 alpha -6.174352 e 4.065e-10 rroots 3
12/24/14 04:34:23 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/24/14 04:44:31 v1.34.3, nfs: commencing lattice sieving with 8 threads
[30 lines snipped]
12/24/14 09:58:03 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/24/14 10:08:24 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/24/14 10:18:52 v1.34.3, nfs: commencing msieve filtering
12/24/14 10:22:36 v1.34.3, nfs: commencing msieve linear algebra
12/24/14 10:56:16 v1.34.3, nfs: commencing msieve sqrt
12/24/14 10:59:48 v1.34.3, prp64 = 1434442863649173672607773416002077284053836828182128108405925557
12/24/14 10:59:48 v1.34.3, prp54 = 991267180638384028302145991895643281046760720442512479
12/24/14 10:59:48 v1.34.3, NFS elapsed time = 24457.8260 seconds.
12/24/14 10:59:48 v1.34.3, 
12/24/14 10:59:48 v1.34.3, 
12/24/14 10:59:48 v1.34.3, Total factoring time = 24457.8724 seconds
--
Wed Dec 24 10:18:52 2014  
Wed Dec 24 10:18:52 2014  commencing relation filtering
Wed Dec 24 10:18:52 2014  estimated available RAM is 15987.3 MB
Wed Dec 24 10:18:52 2014  commencing duplicate removal, pass 1
Wed Dec 24 10:19:48 2014  found 1068702 hash collisions in 10072768 relations
Wed Dec 24 10:20:07 2014  added 62942 free relations
Wed Dec 24 10:20:07 2014  commencing duplicate removal, pass 2
Wed Dec 24 10:20:20 2014  found 520342 duplicates and 9615368 unique relations
Wed Dec 24 10:20:20 2014  memory use: 41.3 MB
Wed Dec 24 10:20:20 2014  reading ideals above 100000
Wed Dec 24 10:20:20 2014  commencing singleton removal, initial pass
Wed Dec 24 10:21:44 2014  memory use: 344.5 MB
Wed Dec 24 10:21:44 2014  reading all ideals from disk
Wed Dec 24 10:21:44 2014  memory use: 338.9 MB
Wed Dec 24 10:21:45 2014  keeping 10748975 ideals with weight <= 200, target excess is 49556
Wed Dec 24 10:21:46 2014  commencing in-memory singleton removal
Wed Dec 24 10:21:46 2014  begin with 9615368 relations and 10748975 unique ideals
Wed Dec 24 10:21:55 2014  reduce to 3213849 relations and 3134540 ideals in 22 passes
Wed Dec 24 10:21:55 2014  max relations containing the same ideal: 99
Wed Dec 24 10:21:56 2014  removing 187928 relations and 177016 ideals in 10912 cliques
Wed Dec 24 10:21:56 2014  commencing in-memory singleton removal
Wed Dec 24 10:21:57 2014  begin with 3025921 relations and 3134540 unique ideals
Wed Dec 24 10:22:00 2014  reduce to 3015669 relations and 2947214 ideals in 11 passes
Wed Dec 24 10:22:00 2014  max relations containing the same ideal: 97
Wed Dec 24 10:22:01 2014  removing 133614 relations and 122702 ideals in 10912 cliques
Wed Dec 24 10:22:02 2014  commencing in-memory singleton removal
Wed Dec 24 10:22:02 2014  begin with 2882055 relations and 2947214 unique ideals
Wed Dec 24 10:22:04 2014  reduce to 2876190 relations and 2818610 ideals in 9 passes
Wed Dec 24 10:22:04 2014  max relations containing the same ideal: 95
Wed Dec 24 10:22:05 2014  relations with 0 large ideals: 151
Wed Dec 24 10:22:05 2014  relations with 1 large ideals: 443
Wed Dec 24 10:22:05 2014  relations with 2 large ideals: 6848
Wed Dec 24 10:22:05 2014  relations with 3 large ideals: 57141
Wed Dec 24 10:22:05 2014  relations with 4 large ideals: 250595
Wed Dec 24 10:22:05 2014  relations with 5 large ideals: 614702
Wed Dec 24 10:22:05 2014  relations with 6 large ideals: 865145
Wed Dec 24 10:22:05 2014  relations with 7+ large ideals: 1081165
Wed Dec 24 10:22:05 2014  commencing 2-way merge
Wed Dec 24 10:22:07 2014  reduce to 1568078 relation sets and 1510503 unique ideals
Wed Dec 24 10:22:07 2014  ignored 5 oversize relation sets
Wed Dec 24 10:22:07 2014  commencing full merge
Wed Dec 24 10:22:26 2014  memory use: 162.8 MB
Wed Dec 24 10:22:27 2014  found 770968 cycles, need 766703
Wed Dec 24 10:22:27 2014  weight of 766703 cycles is about 53724385 (70.07/cycle)
Wed Dec 24 10:22:27 2014  distribution of cycle lengths:
Wed Dec 24 10:22:27 2014  1 relations: 96780
Wed Dec 24 10:22:27 2014  2 relations: 94004
Wed Dec 24 10:22:27 2014  3 relations: 92621
Wed Dec 24 10:22:27 2014  4 relations: 80868
Wed Dec 24 10:22:27 2014  5 relations: 68539
Wed Dec 24 10:22:27 2014  6 relations: 57989
Wed Dec 24 10:22:27 2014  7 relations: 48782
Wed Dec 24 10:22:27 2014  8 relations: 40496
Wed Dec 24 10:22:27 2014  9 relations: 32739
Wed Dec 24 10:22:27 2014  10+ relations: 153885
Wed Dec 24 10:22:27 2014  heaviest cycle: 27 relations
Wed Dec 24 10:22:27 2014  commencing cycle optimization
Wed Dec 24 10:22:28 2014  start with 4705779 relations
Wed Dec 24 10:22:34 2014  pruned 83292 relations
Wed Dec 24 10:22:34 2014  memory use: 162.8 MB
Wed Dec 24 10:22:34 2014  distribution of cycle lengths:
Wed Dec 24 10:22:34 2014  1 relations: 96780
Wed Dec 24 10:22:34 2014  2 relations: 95901
Wed Dec 24 10:22:34 2014  3 relations: 95322
Wed Dec 24 10:22:34 2014  4 relations: 82024
Wed Dec 24 10:22:34 2014  5 relations: 69380
Wed Dec 24 10:22:34 2014  6 relations: 58249
Wed Dec 24 10:22:34 2014  7 relations: 48596
Wed Dec 24 10:22:34 2014  8 relations: 40064
Wed Dec 24 10:22:34 2014  9 relations: 32191
Wed Dec 24 10:22:34 2014  10+ relations: 148196
Wed Dec 24 10:22:34 2014  heaviest cycle: 27 relations
Wed Dec 24 10:22:35 2014  RelProcTime: 223
Wed Dec 24 10:22:36 2014  
Wed Dec 24 10:22:36 2014  commencing linear algebra
Wed Dec 24 10:22:36 2014  read 766703 cycles
Wed Dec 24 10:22:37 2014  cycles contain 2790606 unique relations
Wed Dec 24 10:23:01 2014  read 2790606 relations
Wed Dec 24 10:23:04 2014  using 20 quadratic characters above 134216462
Wed Dec 24 10:23:15 2014  building initial matrix
Wed Dec 24 10:23:47 2014  memory use: 349.3 MB
Wed Dec 24 10:23:47 2014  read 766703 cycles
Wed Dec 24 10:23:47 2014  matrix is 766526 x 766703 (230.4 MB) with weight 72794832 (94.95/col)
Wed Dec 24 10:23:47 2014  sparse part has weight 51959019 (67.77/col)
Wed Dec 24 10:23:53 2014  filtering completed in 2 passes
Wed Dec 24 10:23:54 2014  matrix is 764993 x 765170 (230.2 MB) with weight 72730930 (95.05/col)
Wed Dec 24 10:23:54 2014  sparse part has weight 51941315 (67.88/col)
Wed Dec 24 10:23:56 2014  matrix starts at (0, 0)
Wed Dec 24 10:23:56 2014  matrix is 764993 x 765170 (230.2 MB) with weight 72730930 (95.05/col)
Wed Dec 24 10:23:56 2014  sparse part has weight 51941315 (67.88/col)
Wed Dec 24 10:23:56 2014  saving the first 48 matrix rows for later
Wed Dec 24 10:23:56 2014  matrix includes 64 packed rows
Wed Dec 24 10:23:56 2014  matrix is 764945 x 765170 (222.1 MB) with weight 57677073 (75.38/col)
Wed Dec 24 10:23:56 2014  sparse part has weight 50563009 (66.08/col)
Wed Dec 24 10:23:56 2014  using block size 65536 for processor cache size 8192 kB
Wed Dec 24 10:23:58 2014  commencing Lanczos iteration (8 threads)
Wed Dec 24 10:23:58 2014  memory use: 213.6 MB
Wed Dec 24 10:24:03 2014  linear algebra at 0.4%, ETA 0h20m
Wed Dec 24 10:56:15 2014  lanczos halted after 12095 iterations (dim = 764945)
Wed Dec 24 10:56:16 2014  recovered 32 nontrivial dependencies
Wed Dec 24 10:56:16 2014  BLanczosTime: 2020
Wed Dec 24 10:56:16 2014  
Wed Dec 24 10:56:16 2014  commencing square root phase
Wed Dec 24 10:56:16 2014  reading relations for dependency 1
Wed Dec 24 10:56:16 2014  read 382790 cycles
Wed Dec 24 10:56:17 2014  cycles contain 1396664 unique relations
Wed Dec 24 10:56:34 2014  read 1396664 relations
Wed Dec 24 10:56:40 2014  multiplying 1396664 relations
Wed Dec 24 10:58:01 2014  multiply complete, coefficients have about 64.40 million bits
Wed Dec 24 10:58:02 2014  initial square root is modulo 1762346137
Wed Dec 24 10:59:48 2014  sqrtTime: 212
--
n: 1421916133236366309441776230005156249438873929706336143023078999638764763664121305231561938494902221058007896517525803
skew: 33217.06
c0: -477775487204299355279157673
c1: 110775841076856455189529
c2: -6185207634682856485
c3: 27984133380147
c4: 9863619698
c5: 29904
Y0: -34310585316518920298988
Y1: 973222795721
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:19:29 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 29 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:18 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 18 秒 (日本時間)

94×10169-13

c143

name 名前Jo Yeong Uk
date 日付April 6, 2015 12:38:39 UTC 2015 年 4 月 6 日 (月) 21 時 38 分 39 秒 (日本時間)
composite number 合成数
85585336159411893015059510951741644320210609976203318873144187158077677619393418003737638930552337646482028344720450266579500942124224644704183<143>
prime factors 素因数
165744021451241901028673667775273919318185496746267<51>
516370578015624779345819897865770673229615903771526534741747216688263247665393592794965971349<93>
factorization results 素因数分解の結果
Number: 31333_169
N=85585336159411893015059510951741644320210609976203318873144187158077677619393418003737638930552337646482028344720450266579500942124224644704183
  ( 143 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=165744021451241901028673667775273919318185496746267
 r2=516370578015624779345819897865770673229615903771526534741747216688263247665393592794965971349
Version: 
Total time: 22.38 hours.
Scaled time: 115.37 units (timescale=5.156).
Factorization parameters were as follows:
n: 85585336159411893015059510951741644320210609976203318873144187158077677619393418003737638930552337646482028344720450266579500942124224644704183
m: 10000000000000000000000000000000000
deg: 5
c5: 47
c0: -5
skew: 0.64
# Murphy_E = 2.141e-10
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2900000, 5800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 11133837
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 998934 x 999182
Total sieving time: 20.53 hours.
Total relation processing time: 0.79 hours.
Matrix solve time: 1.00 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5800000,5800000,27,27,52,52,2.4,2.4,100000
total time: 22.38 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)
403e62392300Serge BatalovDecember 20, 2014 21:19:30 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 30 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:18 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 18 秒 (日本時間)
1792Youcef LemsaferJanuary 29, 2015 06:26:01 UTC 2015 年 1 月 29 日 (木) 15 時 26 分 1 秒 (日本時間)
4511e6768 / 3946Youcef LemsaferJanuary 31, 2015 15:02:36 UTC 2015 年 2 月 1 日 (日) 0 時 2 分 36 秒 (日本時間)

94×10172-13

c141

name 名前Serge Batalov
date 日付December 21, 2014 01:51:15 UTC 2014 年 12 月 21 日 (日) 10 時 51 分 15 秒 (日本時間)
composite number 合成数
770191692611469266947135534509413066599300012134043856307872498740159148956315938732168909221182998939580375262770265265149435908873695173909<141>
prime factors 素因数
78086902050989087857795710032790659<35>
composite cofactor 合成数の残り
9863263522844720573191832516202699860006954273000382219304251655316907188345792622437105946409733391471751<106>
factorization results 素因数分解の結果
Input number is 770191692611469266947135534509413066599300012134043856307872498740159148956315938732168909221182998939580375262770265265149435908873695173909 (141 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=835309248
Step 1 took 9233ms
Step 2 took 7111ms
********** Factor found in step 2: 78086902050989087857795710032790659
Found probable prime factor of 35 digits: 78086902050989087857795710032790659
Composite cofactor 9863263522844720573191832516202699860006954273000382219304251655316907188345792622437105946409733391471751 has 106 digits

c106

name 名前Cyp
date 日付December 23, 2014 05:57:19 UTC 2014 年 12 月 23 日 (火) 14 時 57 分 19 秒 (日本時間)
composite number 合成数
9863263522844720573191832516202699860006954273000382219304251655316907188345792622437105946409733391471751<106>
prime factors 素因数
115904445323953501981072107354789383779<39>
85098233249612212021530723115123628016126798620488618091206613629069<68>
factorization results 素因数分解の結果
12/23/14 05:03:59 v1.34.3, 
12/23/14 05:03:59 v1.34.3, ****************************
12/23/14 05:03:59 v1.34.3, Starting factorization of 9863263522844720573191832516202699860006954273000382219304251655316907188345792622437105946409733391471751
12/23/14 05:03:59 v1.34.3, using pretesting plan: none
12/23/14 05:03:59 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/23/14 05:03:59 v1.34.3, ****************************
12/23/14 05:03:59 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C106
12/23/14 05:03:59 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C106
12/23/14 05:03:59 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C106
12/23/14 05:03:59 v1.34.3, final ECM pretested depth: 0.00
12/23/14 05:03:59 v1.34.3, scheduler: switching to sieve method
12/23/14 05:03:59 v1.34.3, nfs: commencing nfs on c106: 9863263522844720573191832516202699860006954273000382219304251655316907188345792622437105946409733391471751
12/23/14 05:03:59 v1.34.3, nfs: commencing poly selection with 8 threads
12/23/14 05:03:59 v1.34.3, nfs: setting deadline of 291 seconds
12/23/14 05:09:01 v1.34.3, nfs: completed 13 ranges of size 250 in 302.0716 seconds
12/23/14 05:09:01 v1.34.3, nfs: best poly = # norm 1.408170e-14 alpha -5.046458 e 4.634e-09 rroots 2
12/23/14 05:09:01 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 05:11:36 v1.34.3, nfs: commencing lattice sieving with 8 threads
[22 lines snipped]
12/23/14 06:15:27 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 06:18:29 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 06:21:40 v1.34.3, nfs: commencing msieve filtering
12/23/14 06:22:33 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 06:25:35 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 06:28:43 v1.34.3, nfs: commencing msieve filtering
12/23/14 06:29:59 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 06:33:16 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 06:36:21 v1.34.3, nfs: commencing msieve filtering
12/23/14 06:37:37 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 06:40:42 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 06:43:38 v1.34.3, nfs: commencing msieve filtering
12/23/14 06:45:28 v1.34.3, nfs: commencing msieve linear algebra
12/23/14 06:55:47 v1.34.3, nfs: commencing msieve sqrt
12/23/14 06:57:18 v1.34.3, prp68 = 85098233249612212021530723115123628016126798620488618091206613629069
12/23/14 06:57:18 v1.34.3, prp39 = 115904445323953501981072107354789383779
12/23/14 06:57:18 v1.34.3, NFS elapsed time = 6798.7066 seconds.
12/23/14 06:57:18 v1.34.3, 
12/23/14 06:57:18 v1.34.3, 
12/23/14 06:57:18 v1.34.3, Total factoring time = 6798.7466 seconds
--
Tue Dec 23 06:21:40 2014  
Tue Dec 23 06:21:40 2014  commencing relation filtering
Tue Dec 23 06:21:40 2014  estimated available RAM is 15987.3 MB
Tue Dec 23 06:21:40 2014  commencing duplicate removal, pass 1
Tue Dec 23 06:22:03 2014  found 478780 hash collisions in 4532025 relations
Tue Dec 23 06:22:07 2014  added 158839 free relations
Tue Dec 23 06:22:07 2014  commencing duplicate removal, pass 2
Tue Dec 23 06:22:11 2014  found 262006 duplicates and 4428858 unique relations
Tue Dec 23 06:22:11 2014  memory use: 20.6 MB
Tue Dec 23 06:22:11 2014  reading ideals above 100000
Tue Dec 23 06:22:11 2014  commencing singleton removal, initial pass
Tue Dec 23 06:22:31 2014  memory use: 172.2 MB
Tue Dec 23 06:22:31 2014  reading all ideals from disk
Tue Dec 23 06:22:31 2014  memory use: 143.5 MB
Tue Dec 23 06:22:32 2014  keeping 5495274 ideals with weight <= 200, target excess is 21340
Tue Dec 23 06:22:32 2014  commencing in-memory singleton removal
Tue Dec 23 06:22:32 2014  begin with 4428858 relations and 5495274 unique ideals
Tue Dec 23 06:22:33 2014  reduce to 410 relations and 0 ideals in 37 passes
Tue Dec 23 06:22:33 2014  max relations containing the same ideal: 0
Tue Dec 23 06:28:43 2014  
Tue Dec 23 06:28:43 2014  commencing relation filtering
Tue Dec 23 06:28:43 2014  estimated available RAM is 15987.3 MB
Tue Dec 23 06:28:43 2014  commencing duplicate removal, pass 1
Tue Dec 23 06:29:12 2014  found 564824 hash collisions in 5049754 relations
Tue Dec 23 06:29:18 2014  added 1098 free relations
Tue Dec 23 06:29:18 2014  commencing duplicate removal, pass 2
Tue Dec 23 06:29:25 2014  found 299499 duplicates and 4751353 unique relations
Tue Dec 23 06:29:25 2014  memory use: 20.6 MB
Tue Dec 23 06:29:25 2014  reading ideals above 100000
Tue Dec 23 06:29:25 2014  commencing singleton removal, initial pass
Tue Dec 23 06:29:53 2014  memory use: 172.2 MB
Tue Dec 23 06:29:54 2014  reading all ideals from disk
Tue Dec 23 06:29:54 2014  memory use: 154.0 MB
Tue Dec 23 06:29:54 2014  keeping 5650406 ideals with weight <= 200, target excess is 22673
Tue Dec 23 06:29:55 2014  commencing in-memory singleton removal
Tue Dec 23 06:29:55 2014  begin with 4751353 relations and 5650406 unique ideals
Tue Dec 23 06:29:59 2014  reduce to 1141797 relations and 1242141 ideals in 31 passes
Tue Dec 23 06:29:59 2014  max relations containing the same ideal: 73
Tue Dec 23 06:36:21 2014  
Tue Dec 23 06:36:21 2014  commencing relation filtering
Tue Dec 23 06:36:21 2014  estimated available RAM is 15987.3 MB
Tue Dec 23 06:36:21 2014  commencing duplicate removal, pass 1
Tue Dec 23 06:36:50 2014  found 638711 hash collisions in 5415687 relations
Tue Dec 23 06:36:54 2014  added 968 free relations
Tue Dec 23 06:36:54 2014  commencing duplicate removal, pass 2
Tue Dec 23 06:36:58 2014  found 339938 duplicates and 5076717 unique relations
Tue Dec 23 06:36:58 2014  memory use: 20.6 MB
Tue Dec 23 06:36:58 2014  reading ideals above 100000
Tue Dec 23 06:36:58 2014  commencing singleton removal, initial pass
Tue Dec 23 06:37:30 2014  memory use: 172.2 MB
Tue Dec 23 06:37:30 2014  reading all ideals from disk
Tue Dec 23 06:37:31 2014  memory use: 164.7 MB
Tue Dec 23 06:37:31 2014  keeping 5794240 ideals with weight <= 200, target excess is 24226
Tue Dec 23 06:37:32 2014  commencing in-memory singleton removal
Tue Dec 23 06:37:32 2014  begin with 5076717 relations and 5794240 unique ideals
Tue Dec 23 06:37:37 2014  reduce to 1624490 relations and 1633925 ideals in 25 passes
Tue Dec 23 06:37:37 2014  max relations containing the same ideal: 93
Tue Dec 23 06:43:38 2014  
Tue Dec 23 06:43:38 2014  commencing relation filtering
Tue Dec 23 06:43:38 2014  estimated available RAM is 15987.3 MB
Tue Dec 23 06:43:38 2014  commencing duplicate removal, pass 1
Tue Dec 23 06:44:10 2014  found 710906 hash collisions in 5760579 relations
Tue Dec 23 06:44:15 2014  added 731 free relations
Tue Dec 23 06:44:15 2014  commencing duplicate removal, pass 2
Tue Dec 23 06:44:20 2014  found 379745 duplicates and 5381565 unique relations
Tue Dec 23 06:44:20 2014  memory use: 20.6 MB
Tue Dec 23 06:44:20 2014  reading ideals above 100000
Tue Dec 23 06:44:20 2014  commencing singleton removal, initial pass
Tue Dec 23 06:44:58 2014  memory use: 172.2 MB
Tue Dec 23 06:44:58 2014  reading all ideals from disk
Tue Dec 23 06:44:58 2014  memory use: 174.6 MB
Tue Dec 23 06:44:59 2014  keeping 5918437 ideals with weight <= 200, target excess is 25804
Tue Dec 23 06:44:59 2014  commencing in-memory singleton removal
Tue Dec 23 06:45:00 2014  begin with 5381565 relations and 5918437 unique ideals
Tue Dec 23 06:45:04 2014  reduce to 2053153 relations and 1955434 ideals in 19 passes
Tue Dec 23 06:45:04 2014  max relations containing the same ideal: 113
Tue Dec 23 06:45:05 2014  removing 313498 relations and 279605 ideals in 33893 cliques
Tue Dec 23 06:45:05 2014  commencing in-memory singleton removal
Tue Dec 23 06:45:05 2014  begin with 1739655 relations and 1955434 unique ideals
Tue Dec 23 06:45:07 2014  reduce to 1697724 relations and 1632855 ideals in 10 passes
Tue Dec 23 06:45:07 2014  max relations containing the same ideal: 97
Tue Dec 23 06:45:08 2014  removing 231831 relations and 197938 ideals in 33893 cliques
Tue Dec 23 06:45:08 2014  commencing in-memory singleton removal
Tue Dec 23 06:45:08 2014  begin with 1465893 relations and 1632855 unique ideals
Tue Dec 23 06:45:09 2014  reduce to 1437882 relations and 1406320 ideals in 9 passes
Tue Dec 23 06:45:09 2014  max relations containing the same ideal: 84
Tue Dec 23 06:45:10 2014  relations with 0 large ideals: 485
Tue Dec 23 06:45:10 2014  relations with 1 large ideals: 232
Tue Dec 23 06:45:10 2014  relations with 2 large ideals: 3190
Tue Dec 23 06:45:10 2014  relations with 3 large ideals: 27630
Tue Dec 23 06:45:10 2014  relations with 4 large ideals: 123560
Tue Dec 23 06:45:10 2014  relations with 5 large ideals: 322785
Tue Dec 23 06:45:10 2014  relations with 6 large ideals: 433743
Tue Dec 23 06:45:10 2014  relations with 7+ large ideals: 526257
Tue Dec 23 06:45:10 2014  commencing 2-way merge
Tue Dec 23 06:45:11 2014  reduce to 817698 relation sets and 786136 unique ideals
Tue Dec 23 06:45:11 2014  commencing full merge
Tue Dec 23 06:45:23 2014  memory use: 89.5 MB
Tue Dec 23 06:45:23 2014  found 392171 cycles, need 388336
Tue Dec 23 06:45:23 2014  weight of 388336 cycles is about 27514428 (70.85/cycle)
Tue Dec 23 06:45:23 2014  distribution of cycle lengths:
Tue Dec 23 06:45:23 2014  1 relations: 44351
Tue Dec 23 06:45:23 2014  2 relations: 41689
Tue Dec 23 06:45:23 2014  3 relations: 40389
Tue Dec 23 06:45:23 2014  4 relations: 37065
Tue Dec 23 06:45:23 2014  5 relations: 33546
Tue Dec 23 06:45:23 2014  6 relations: 28797
Tue Dec 23 06:45:23 2014  7 relations: 25282
Tue Dec 23 06:45:23 2014  8 relations: 22715
Tue Dec 23 06:45:23 2014  9 relations: 19737
Tue Dec 23 06:45:23 2014  10+ relations: 94765
Tue Dec 23 06:45:23 2014  heaviest cycle: 26 relations
Tue Dec 23 06:45:23 2014  commencing cycle optimization
Tue Dec 23 06:45:24 2014  start with 2565496 relations
Tue Dec 23 06:45:28 2014  pruned 56613 relations
Tue Dec 23 06:45:28 2014  memory use: 83.6 MB
Tue Dec 23 06:45:28 2014  distribution of cycle lengths:
Tue Dec 23 06:45:28 2014  1 relations: 44351
Tue Dec 23 06:45:28 2014  2 relations: 42564
Tue Dec 23 06:45:28 2014  3 relations: 41602
Tue Dec 23 06:45:28 2014  4 relations: 37868
Tue Dec 23 06:45:28 2014  5 relations: 34166
Tue Dec 23 06:45:28 2014  6 relations: 29088
Tue Dec 23 06:45:28 2014  7 relations: 25829
Tue Dec 23 06:45:28 2014  8 relations: 22715
Tue Dec 23 06:45:28 2014  9 relations: 19716
Tue Dec 23 06:45:28 2014  10+ relations: 90437
Tue Dec 23 06:45:28 2014  heaviest cycle: 26 relations
Tue Dec 23 06:45:28 2014  RelProcTime: 110
Tue Dec 23 06:45:28 2014  
Tue Dec 23 06:45:28 2014  commencing linear algebra
Tue Dec 23 06:45:28 2014  read 388336 cycles
Tue Dec 23 06:45:29 2014  cycles contain 1390471 unique relations
Tue Dec 23 06:45:41 2014  read 1390471 relations
Tue Dec 23 06:45:42 2014  using 20 quadratic characters above 67108860
Tue Dec 23 06:45:49 2014  building initial matrix
Tue Dec 23 06:46:05 2014  memory use: 171.0 MB
Tue Dec 23 06:46:05 2014  read 388336 cycles
Tue Dec 23 06:46:05 2014  matrix is 388157 x 388336 (117.1 MB) with weight 36999197 (95.28/col)
Tue Dec 23 06:46:05 2014  sparse part has weight 26422482 (68.04/col)
Tue Dec 23 06:46:08 2014  filtering completed in 2 passes
Tue Dec 23 06:46:08 2014  matrix is 387560 x 387740 (117.0 MB) with weight 36973442 (95.36/col)
Tue Dec 23 06:46:08 2014  sparse part has weight 26414469 (68.12/col)
Tue Dec 23 06:46:09 2014  matrix starts at (0, 0)
Tue Dec 23 06:46:09 2014  matrix is 387560 x 387740 (117.0 MB) with weight 36973442 (95.36/col)
Tue Dec 23 06:46:09 2014  sparse part has weight 26414469 (68.12/col)
Tue Dec 23 06:46:09 2014  saving the first 48 matrix rows for later
Tue Dec 23 06:46:09 2014  matrix includes 64 packed rows
Tue Dec 23 06:46:09 2014  matrix is 387512 x 387740 (112.7 MB) with weight 29213107 (75.34/col)
Tue Dec 23 06:46:09 2014  sparse part has weight 25663834 (66.19/col)
Tue Dec 23 06:46:09 2014  using block size 65536 for processor cache size 8192 kB
Tue Dec 23 06:46:11 2014  commencing Lanczos iteration (8 threads)
Tue Dec 23 06:46:11 2014  memory use: 106.8 MB
Tue Dec 23 06:46:29 2014  linear algebra at 3.1%, ETA 0h 9m
Tue Dec 23 06:55:46 2014  lanczos halted after 6130 iterations (dim = 387512)
Tue Dec 23 06:55:47 2014  recovered 33 nontrivial dependencies
Tue Dec 23 06:55:47 2014  BLanczosTime: 619
Tue Dec 23 06:55:47 2014  
Tue Dec 23 06:55:47 2014  commencing square root phase
Tue Dec 23 06:55:47 2014  reading relations for dependency 1
Tue Dec 23 06:55:47 2014  read 193755 cycles
Tue Dec 23 06:55:47 2014  cycles contain 694406 unique relations
Tue Dec 23 06:55:56 2014  read 694406 relations
Tue Dec 23 06:55:59 2014  multiplying 694406 relations
Tue Dec 23 06:56:17 2014  multiply complete, coefficients have about 29.31 million bits
Tue Dec 23 06:56:17 2014  initial square root is modulo 261341147
Tue Dec 23 06:56:35 2014  GCD is 1, no factor found
Tue Dec 23 06:56:35 2014  reading relations for dependency 2
Tue Dec 23 06:56:35 2014  read 193533 cycles
Tue Dec 23 06:56:35 2014  cycles contain 693078 unique relations
Tue Dec 23 06:56:40 2014  read 693078 relations
Tue Dec 23 06:56:41 2014  multiplying 693078 relations
Tue Dec 23 06:56:54 2014  multiply complete, coefficients have about 29.26 million bits
Tue Dec 23 06:56:54 2014  initial square root is modulo 252580607
Tue Dec 23 06:57:18 2014  sqrtTime: 91
--
n: 9863263522844720573191832516202699860006954273000382219304251655316907188345792622437105946409733391471751
skew: 6023901.27
c0: -176113509778704500605947787989
c1: 14093646030628188036832
c2: -75094572998196349
c3: -4889829482
c4: 1608
Y0: -49766234603325352207876730
Y1: 170993685635921
rlim: 2640000
alim: 2640000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:19:30 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 30 秒 (日本時間)

94×10173-13

c158

name 名前Cyp
date 日付May 4, 2015 17:16:51 UTC 2015 年 5 月 5 日 (火) 2 時 16 分 51 秒 (日本時間)
composite number 合成数
43380544512373120340652438433278650167027585496483286400256494590786991915500674215499578118614084607001475365991850501518530242242772468447153523196867697527<158>
prime factors 素因数
356687651603105524468493032157032293929450001611<48>
587115320978680336476438733800458382247015675481242931<54>
207149319477546769132310466005372266477700475395220851047<57>
factorization results 素因数分解の結果
05/04/15 08:41:38 v1.34.3, 
05/04/15 08:41:38 v1.34.3, ****************************
05/04/15 08:41:38 v1.34.3, Starting factorization of 43380544512373120340652438433278650167027585496483286400256494590786991915500674215499578118614084607001475365991850501518530242242772468447153523196867697527
05/04/15 08:41:38 v1.34.3, using pretesting plan: none
05/04/15 08:41:38 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
05/04/15 08:41:38 v1.34.3, ****************************
05/04/15 08:41:38 v1.34.3, nfs: commencing nfs on c158: 43380544512373120340652438433278650167027585496483286400256494590786991915500674215499578118614084607001475365991850501518530242242772468447153523196867697527
05/04/15 08:41:38 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
05/04/15 08:41:38 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/04/15 08:46:32 v1.34.3, nfs: commencing lattice sieving with 8 threads
[91 lines snipped]
05/04/15 16:26:56 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/04/15 16:31:52 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/04/15 16:36:51 v1.34.3, nfs: commencing msieve filtering
05/04/15 16:38:28 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/04/15 16:43:34 v1.34.3, nfs: commencing lattice sieving with 8 threads
[2 lines snipped]
05/04/15 16:58:45 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/04/15 17:03:53 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/04/15 17:08:54 v1.34.3, nfs: commencing msieve filtering
05/04/15 17:10:38 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/04/15 17:15:46 v1.34.3, nfs: commencing lattice sieving with 8 threads
[2 lines snipped]
05/04/15 17:30:54 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/04/15 17:35:59 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/04/15 17:41:01 v1.34.3, nfs: commencing msieve filtering
05/04/15 17:43:24 v1.34.3, nfs: commencing msieve linear algebra
05/04/15 18:19:05 v1.34.3, nfs: commencing msieve sqrt
05/04/15 18:21:24 v1.34.3, prp54 = 587115320978680336476438733800458382247015675481242931
05/04/15 18:21:24 v1.34.3, C104 = 73887604295627603291240391545522390657415059917307314038384920193621051275484444136985346638334941036717
05/04/15 18:21:24 v1.34.3, NFS elapsed time = 34785.9707 seconds.
05/04/15 18:21:24 v1.34.3, 
05/04/15 18:21:24 v1.34.3, 
05/04/15 18:21:24 v1.34.3, 
05/04/15 18:21:24 v1.34.3, ****************************
05/04/15 18:21:24 v1.34.3, Starting factorization of 73887604295627603291240391545522390657415059917307314038384920193621051275484444136985346638334941036717
05/04/15 18:21:24 v1.34.3, using pretesting plan: normal
05/04/15 18:21:24 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
05/04/15 18:21:24 v1.34.3, ****************************
05/04/15 18:21:24 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C104
05/04/15 18:21:24 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C104
05/04/15 18:21:24 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C104
05/04/15 18:21:24 v1.34.3, pm1: starting B1 = 150K, B2 = gmp-ecm default on C104
05/04/15 18:21:24 v1.34.3, current ECM pretesting depth: 0.00
05/04/15 18:21:24 v1.34.3, scheduled 30 curves at B1=2000 toward target pretesting depth of 32.00
05/04/15 18:21:25 v1.34.3, Finished 30 curves using Lenstra ECM method on C104 input, B1=2K, B2=gmp-ecm default
05/04/15 18:21:25 v1.34.3, current ECM pretesting depth: 15.18
05/04/15 18:21:25 v1.34.3, scheduled 74 curves at B1=11000 toward target pretesting depth of 32.00
05/04/15 18:21:27 v1.34.3, Finished 74 curves using Lenstra ECM method on C104 input, B1=11K, B2=gmp-ecm default
05/04/15 18:21:27 v1.34.3, current ECM pretesting depth: 20.24
05/04/15 18:21:27 v1.34.3, scheduled 214 curves at B1=50000 toward target pretesting depth of 32.00
05/04/15 18:21:53 v1.34.3, Finished 214 curves using Lenstra ECM method on C104 input, B1=50K, B2=gmp-ecm default
05/04/15 18:21:53 v1.34.3, pm1: starting B1 = 3750K, B2 = gmp-ecm default on C104
05/04/15 18:21:55 v1.34.3, current ECM pretesting depth: 25.33
05/04/15 18:21:55 v1.34.3, scheduled 430 curves at B1=250000 toward target pretesting depth of 32.00
05/04/15 18:25:44 v1.34.3, Finished 430 curves using Lenstra ECM method on C104 input, B1=250K, B2=gmp-ecm default
05/04/15 18:25:44 v1.34.3, pm1: starting B1 = 15M, B2 = gmp-ecm default on C104
05/04/15 18:25:49 v1.34.3, current ECM pretesting depth: 30.45
05/04/15 18:25:49 v1.34.3, scheduled 281 curves at B1=1000000 toward target pretesting depth of 32.00
05/04/15 18:36:07 v1.34.3, Finished 281 curves using Lenstra ECM method on C104 input, B1=1M, B2=gmp-ecm default
05/04/15 18:36:07 v1.34.3, final ECM pretested depth: 32.01
05/04/15 18:36:07 v1.34.3, scheduler: switching to sieve method
05/04/15 18:36:07 v1.34.3, nfs: commencing nfs on c104: 73887604295627603291240391545522390657415059917307314038384920193621051275484444136985346638334941036717
05/04/15 18:36:07 v1.34.3, nfs: commencing poly selection with 8 threads
05/04/15 18:36:07 v1.34.3, nfs: setting deadline of 216 seconds
05/04/15 18:39:49 v1.34.3, nfs: completed 61 ranges of size 250 in 221.9782 seconds
05/04/15 18:39:49 v1.34.3, nfs: best poly = # norm 3.273886e-14 alpha -4.967633 e 6.824e-09 rroots 2
05/04/15 18:39:49 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/04/15 18:41:11 v1.34.3, nfs: commencing lattice sieving with 8 threads
[16 lines snipped]
05/04/15 19:04:18 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/04/15 19:05:39 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/04/15 19:07:03 v1.34.3, nfs: commencing msieve filtering
05/04/15 19:07:43 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/04/15 19:09:03 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/04/15 19:10:32 v1.34.3, nfs: commencing msieve filtering
05/04/15 19:11:31 v1.34.3, nfs: commencing msieve linear algebra
05/04/15 19:16:11 v1.34.3, nfs: commencing msieve sqrt
05/04/15 19:16:50 v1.34.3, prp57 = 207149319477546769132310466005372266477700475395220851047
05/04/15 19:16:50 v1.34.3, prp48 = 356687651603105524468493032157032293929450001611
05/04/15 19:16:50 v1.34.3, NFS elapsed time = 2443.1586 seconds.
05/04/15 19:16:50 v1.34.3, 
05/04/15 19:16:50 v1.34.3, 
05/04/15 19:16:50 v1.34.3, Total factoring time = 3325.6863 seconds
05/04/15 19:16:50 v1.34.3, Total factoring time = 38111.7229 seconds
--
Mon May  4 16:36:51 2015  
Mon May  4 16:36:51 2015  commencing relation filtering
Mon May  4 16:36:51 2015  estimated available RAM is 15987.3 MB
Mon May  4 16:36:51 2015  commencing duplicate removal, pass 1
Mon May  4 16:37:20 2015  found 1458943 hash collisions in 10089138 relations
Mon May  4 16:37:29 2015  added 371349 free relations
Mon May  4 16:37:29 2015  commencing duplicate removal, pass 2
Mon May  4 16:37:38 2015  found 1056963 duplicates and 9403524 unique relations
Mon May  4 16:37:38 2015  memory use: 41.3 MB
Mon May  4 16:37:38 2015  reading ideals above 100000
Mon May  4 16:37:38 2015  commencing singleton removal, initial pass
Mon May  4 16:38:22 2015  memory use: 344.5 MB
Mon May  4 16:38:22 2015  reading all ideals from disk
Mon May  4 16:38:22 2015  memory use: 347.5 MB
Mon May  4 16:38:22 2015  keeping 10958952 ideals with weight <= 200, target excess is 48444
Mon May  4 16:38:23 2015  commencing in-memory singleton removal
Mon May  4 16:38:23 2015  begin with 9403524 relations and 10958952 unique ideals
Mon May  4 16:38:28 2015  reduce to 3134406 relations and 3344955 ideals in 24 passes
Mon May  4 16:38:28 2015  max relations containing the same ideal: 97
Mon May  4 17:08:54 2015  
Mon May  4 17:08:54 2015  commencing relation filtering
Mon May  4 17:08:54 2015  estimated available RAM is 15987.3 MB
Mon May  4 17:08:54 2015  commencing duplicate removal, pass 1
Mon May  4 17:09:28 2015  found 1644274 hash collisions in 11046203 relations
Mon May  4 17:09:37 2015  added 1220 free relations
Mon May  4 17:09:37 2015  commencing duplicate removal, pass 2
Mon May  4 17:09:46 2015  found 1165541 duplicates and 9881882 unique relations
Mon May  4 17:09:46 2015  memory use: 41.3 MB
Mon May  4 17:09:46 2015  reading ideals above 100000
Mon May  4 17:09:46 2015  commencing singleton removal, initial pass
Mon May  4 17:10:32 2015  memory use: 344.5 MB
Mon May  4 17:10:32 2015  reading all ideals from disk
Mon May  4 17:10:32 2015  memory use: 365.4 MB
Mon May  4 17:10:33 2015  keeping 11145857 ideals with weight <= 200, target excess is 51261
Mon May  4 17:10:33 2015  commencing in-memory singleton removal
Mon May  4 17:10:33 2015  begin with 9881882 relations and 11145857 unique ideals
Mon May  4 17:10:38 2015  reduce to 3853895 relations and 3891247 ideals in 21 passes
Mon May  4 17:10:38 2015  max relations containing the same ideal: 109
Mon May  4 17:41:01 2015  
Mon May  4 17:41:01 2015  commencing relation filtering
Mon May  4 17:41:01 2015  estimated available RAM is 15987.3 MB
Mon May  4 17:41:01 2015  commencing duplicate removal, pass 1
Mon May  4 17:41:37 2015  found 1790945 hash collisions in 11622151 relations
Mon May  4 17:41:46 2015  added 1079 free relations
Mon May  4 17:41:46 2015  commencing duplicate removal, pass 2
Mon May  4 17:41:56 2015  found 1275869 duplicates and 10347361 unique relations
Mon May  4 17:41:56 2015  memory use: 45.3 MB
Mon May  4 17:41:56 2015  reading ideals above 720000
Mon May  4 17:41:56 2015  commencing singleton removal, initial pass
Mon May  4 17:42:42 2015  memory use: 344.5 MB
Mon May  4 17:42:42 2015  reading all ideals from disk
Mon May  4 17:42:42 2015  memory use: 309.4 MB
Mon May  4 17:42:42 2015  commencing in-memory singleton removal
Mon May  4 17:42:43 2015  begin with 10347361 relations and 11255288 unique ideals
Mon May  4 17:42:47 2015  reduce to 4519630 relations and 4302225 ideals in 20 passes
Mon May  4 17:42:47 2015  max relations containing the same ideal: 72
Mon May  4 17:42:48 2015  removing 415080 relations and 373670 ideals in 41410 cliques
Mon May  4 17:42:48 2015  commencing in-memory singleton removal
Mon May  4 17:42:48 2015  begin with 4104550 relations and 4302225 unique ideals
Mon May  4 17:42:50 2015  reduce to 4070821 relations and 3894354 ideals in 9 passes
Mon May  4 17:42:50 2015  max relations containing the same ideal: 69
Mon May  4 17:42:51 2015  removing 306242 relations and 264832 ideals in 41410 cliques
Mon May  4 17:42:51 2015  commencing in-memory singleton removal
Mon May  4 17:42:51 2015  begin with 3764579 relations and 3894354 unique ideals
Mon May  4 17:42:52 2015  reduce to 3744589 relations and 3609286 ideals in 10 passes
Mon May  4 17:42:52 2015  max relations containing the same ideal: 66
Mon May  4 17:42:54 2015  relations with 0 large ideals: 2886
Mon May  4 17:42:54 2015  relations with 1 large ideals: 1904
Mon May  4 17:42:54 2015  relations with 2 large ideals: 27875
Mon May  4 17:42:54 2015  relations with 3 large ideals: 166419
Mon May  4 17:42:54 2015  relations with 4 large ideals: 534416
Mon May  4 17:42:54 2015  relations with 5 large ideals: 980582
Mon May  4 17:42:54 2015  relations with 6 large ideals: 1089617
Mon May  4 17:42:54 2015  relations with 7+ large ideals: 940890
Mon May  4 17:42:54 2015  commencing 2-way merge
Mon May  4 17:42:55 2015  reduce to 2231216 relation sets and 2095913 unique ideals
Mon May  4 17:42:55 2015  commencing full merge
Mon May  4 17:43:16 2015  memory use: 249.7 MB
Mon May  4 17:43:16 2015  found 1119220 cycles, need 1102113
Mon May  4 17:43:16 2015  weight of 1102113 cycles is about 77185604 (70.03/cycle)
Mon May  4 17:43:16 2015  distribution of cycle lengths:
Mon May  4 17:43:16 2015  1 relations: 148102
Mon May  4 17:43:16 2015  2 relations: 132378
Mon May  4 17:43:16 2015  3 relations: 125688
Mon May  4 17:43:16 2015  4 relations: 110148
Mon May  4 17:43:16 2015  5 relations: 99082
Mon May  4 17:43:16 2015  6 relations: 84438
Mon May  4 17:43:16 2015  7 relations: 72314
Mon May  4 17:43:16 2015  8 relations: 61400
Mon May  4 17:43:16 2015  9 relations: 52138
Mon May  4 17:43:16 2015  10+ relations: 216425
Mon May  4 17:43:16 2015  heaviest cycle: 23 relations
Mon May  4 17:43:16 2015  commencing cycle optimization
Mon May  4 17:43:17 2015  start with 6520661 relations
Mon May  4 17:43:23 2015  pruned 154421 relations
Mon May  4 17:43:23 2015  memory use: 215.5 MB
Mon May  4 17:43:23 2015  distribution of cycle lengths:
Mon May  4 17:43:23 2015  1 relations: 148102
Mon May  4 17:43:23 2015  2 relations: 135270
Mon May  4 17:43:23 2015  3 relations: 130014
Mon May  4 17:43:23 2015  4 relations: 112475
Mon May  4 17:43:23 2015  5 relations: 101382
Mon May  4 17:43:23 2015  6 relations: 85355
Mon May  4 17:43:23 2015  7 relations: 72840
Mon May  4 17:43:23 2015  8 relations: 61374
Mon May  4 17:43:23 2015  9 relations: 51407
Mon May  4 17:43:23 2015  10+ relations: 203894
Mon May  4 17:43:23 2015  heaviest cycle: 23 relations
Mon May  4 17:43:24 2015  RelProcTime: 143
Mon May  4 17:43:24 2015  
Mon May  4 17:43:24 2015  commencing linear algebra
Mon May  4 17:43:24 2015  read 1102113 cycles
Mon May  4 17:43:25 2015  cycles contain 3611840 unique relations
Mon May  4 17:43:41 2015  read 3611840 relations
Mon May  4 17:43:43 2015  using 20 quadratic characters above 134217354
Mon May  4 17:43:55 2015  building initial matrix
Mon May  4 17:44:13 2015  memory use: 437.4 MB
Mon May  4 17:44:14 2015  read 1102113 cycles
Mon May  4 17:44:14 2015  matrix is 1101932 x 1102113 (329.8 MB) with weight 97564449 (88.52/col)
Mon May  4 17:44:14 2015  sparse part has weight 74328057 (67.44/col)
Mon May  4 17:44:20 2015  filtering completed in 2 passes
Mon May  4 17:44:20 2015  matrix is 1099766 x 1099947 (329.6 MB) with weight 97490142 (88.63/col)
Mon May  4 17:44:20 2015  sparse part has weight 74301212 (67.55/col)
Mon May  4 17:44:23 2015  matrix starts at (0, 0)
Mon May  4 17:44:23 2015  matrix is 1099766 x 1099947 (329.6 MB) with weight 97490142 (88.63/col)
Mon May  4 17:44:23 2015  sparse part has weight 74301212 (67.55/col)
Mon May  4 17:44:23 2015  saving the first 48 matrix rows for later
Mon May  4 17:44:23 2015  matrix includes 64 packed rows
Mon May  4 17:44:23 2015  matrix is 1099718 x 1099947 (312.9 MB) with weight 77562480 (70.51/col)
Mon May  4 17:44:23 2015  sparse part has weight 71020181 (64.57/col)
Mon May  4 17:44:23 2015  using block size 65536 for processor cache size 8192 kB
Mon May  4 17:44:26 2015  commencing Lanczos iteration (8 threads)
Mon May  4 17:44:26 2015  memory use: 306.2 MB
Mon May  4 17:44:29 2015  linear algebra at 0.1%, ETA 0h36m
Mon May  4 17:44:30 2015  checkpointing every 1830000 dimensions
Mon May  4 18:19:05 2015  lanczos halted after 17394 iterations (dim = 1099716)
Mon May  4 18:19:05 2015  recovered 39 nontrivial dependencies
Mon May  4 18:19:05 2015  BLanczosTime: 2141
Mon May  4 18:19:05 2015  
Mon May  4 18:19:05 2015  commencing square root phase
Mon May  4 18:19:05 2015  reading relations for dependency 1
Mon May  4 18:19:05 2015  read 550945 cycles
Mon May  4 18:19:06 2015  cycles contain 1808168 unique relations
Mon May  4 18:19:18 2015  read 1808168 relations
Mon May  4 18:19:22 2015  multiplying 1808168 relations
Mon May  4 18:20:15 2015  multiply complete, coefficients have about 66.70 million bits
Mon May  4 18:20:16 2015  initial square root is modulo 61441
Mon May  4 18:21:24 2015  sqrtTime: 139
Mon May  4 19:07:03 2015  
Mon May  4 19:07:03 2015  commencing relation filtering
Mon May  4 19:07:03 2015  estimated available RAM is 15987.3 MB
Mon May  4 19:07:03 2015  commencing duplicate removal, pass 1
Mon May  4 19:07:16 2015  found 436903 hash collisions in 4599996 relations
Mon May  4 19:07:20 2015  added 157783 free relations
Mon May  4 19:07:20 2015  commencing duplicate removal, pass 2
Mon May  4 19:07:23 2015  found 195685 duplicates and 4562094 unique relations
Mon May  4 19:07:23 2015  memory use: 20.6 MB
Mon May  4 19:07:23 2015  reading ideals above 100000
Mon May  4 19:07:23 2015  commencing singleton removal, initial pass
Mon May  4 19:07:41 2015  memory use: 172.2 MB
Mon May  4 19:07:41 2015  reading all ideals from disk
Mon May  4 19:07:41 2015  memory use: 144.8 MB
Mon May  4 19:07:41 2015  keeping 5472183 ideals with weight <= 200, target excess is 22004
Mon May  4 19:07:42 2015  commencing in-memory singleton removal
Mon May  4 19:07:42 2015  begin with 4562094 relations and 5472183 unique ideals
Mon May  4 19:07:43 2015  reduce to 1003854 relations and 1084273 ideals in 37 passes
Mon May  4 19:07:43 2015  max relations containing the same ideal: 72
Mon May  4 19:10:32 2015  
Mon May  4 19:10:32 2015  commencing relation filtering
Mon May  4 19:10:32 2015  estimated available RAM is 15987.3 MB
Mon May  4 19:10:32 2015  commencing duplicate removal, pass 1
Mon May  4 19:10:47 2015  found 537870 hash collisions in 5222569 relations
Mon May  4 19:10:52 2015  added 1535 free relations
Mon May  4 19:10:52 2015  commencing duplicate removal, pass 2
Mon May  4 19:10:56 2015  found 233362 duplicates and 4990742 unique relations
Mon May  4 19:10:56 2015  memory use: 20.6 MB
Mon May  4 19:10:56 2015  reading ideals above 100000
Mon May  4 19:10:56 2015  commencing singleton removal, initial pass
Mon May  4 19:11:16 2015  memory use: 172.2 MB
Mon May  4 19:11:17 2015  reading all ideals from disk
Mon May  4 19:11:17 2015  memory use: 158.6 MB
Mon May  4 19:11:17 2015  keeping 5668302 ideals with weight <= 200, target excess is 23981
Mon May  4 19:11:17 2015  commencing in-memory singleton removal
Mon May  4 19:11:17 2015  begin with 4990742 relations and 5668302 unique ideals
Mon May  4 19:11:19 2015  reduce to 1608520 relations and 1570952 ideals in 20 passes
Mon May  4 19:11:19 2015  max relations containing the same ideal: 94
Mon May  4 19:11:19 2015  relations with 0 large ideals: 456
Mon May  4 19:11:19 2015  relations with 1 large ideals: 243
Mon May  4 19:11:19 2015  relations with 2 large ideals: 3743
Mon May  4 19:11:19 2015  relations with 3 large ideals: 30771
Mon May  4 19:11:19 2015  relations with 4 large ideals: 137905
Mon May  4 19:11:19 2015  relations with 5 large ideals: 369856
Mon May  4 19:11:19 2015  relations with 6 large ideals: 494620
Mon May  4 19:11:19 2015  relations with 7+ large ideals: 570926
Mon May  4 19:11:19 2015  commencing 2-way merge
Mon May  4 19:11:20 2015  reduce to 868269 relation sets and 831181 unique ideals
Mon May  4 19:11:20 2015  ignored 480 oversize relation sets
Mon May  4 19:11:20 2015  commencing full merge
Mon May  4 19:11:28 2015  memory use: 80.4 MB
Mon May  4 19:11:28 2015  found 379376 cycles, need 377381
Mon May  4 19:11:28 2015  weight of 377381 cycles is about 26550604 (70.35/cycle)
Mon May  4 19:11:28 2015  distribution of cycle lengths:
Mon May  4 19:11:28 2015  1 relations: 46259
Mon May  4 19:11:28 2015  2 relations: 44029
Mon May  4 19:11:28 2015  3 relations: 41442
Mon May  4 19:11:28 2015  4 relations: 36567
Mon May  4 19:11:28 2015  5 relations: 32222
Mon May  4 19:11:28 2015  6 relations: 27105
Mon May  4 19:11:28 2015  7 relations: 23648
Mon May  4 19:11:28 2015  8 relations: 20233
Mon May  4 19:11:28 2015  9 relations: 16873
Mon May  4 19:11:28 2015  10+ relations: 89003
Mon May  4 19:11:28 2015  heaviest cycle: 28 relations
Mon May  4 19:11:28 2015  commencing cycle optimization
Mon May  4 19:11:28 2015  start with 2517989 relations
Mon May  4 19:11:31 2015  pruned 54288 relations
Mon May  4 19:11:31 2015  memory use: 83.7 MB
Mon May  4 19:11:31 2015  distribution of cycle lengths:
Mon May  4 19:11:31 2015  1 relations: 46259
Mon May  4 19:11:31 2015  2 relations: 44950
Mon May  4 19:11:31 2015  3 relations: 42781
Mon May  4 19:11:31 2015  4 relations: 37265
Mon May  4 19:11:31 2015  5 relations: 32817
Mon May  4 19:11:31 2015  6 relations: 27421
Mon May  4 19:11:31 2015  7 relations: 23711
Mon May  4 19:11:31 2015  8 relations: 20069
Mon May  4 19:11:31 2015  9 relations: 16736
Mon May  4 19:11:31 2015  10+ relations: 85372
Mon May  4 19:11:31 2015  heaviest cycle: 28 relations
Mon May  4 19:11:31 2015  RelProcTime: 59
Mon May  4 19:11:31 2015  
Mon May  4 19:11:31 2015  commencing linear algebra
Mon May  4 19:11:31 2015  read 377381 cycles
Mon May  4 19:11:32 2015  cycles contain 1411516 unique relations
Mon May  4 19:11:38 2015  read 1411516 relations
Mon May  4 19:11:39 2015  using 20 quadratic characters above 67105128
Mon May  4 19:11:44 2015  building initial matrix
Mon May  4 19:11:52 2015  memory use: 171.3 MB
Mon May  4 19:11:52 2015  read 377381 cycles
Mon May  4 19:11:52 2015  matrix is 377192 x 377381 (112.9 MB) with weight 35762803 (94.77/col)
Mon May  4 19:11:52 2015  sparse part has weight 25451791 (67.44/col)
Mon May  4 19:11:54 2015  filtering completed in 2 passes
Mon May  4 19:11:54 2015  matrix is 375398 x 375595 (112.7 MB) with weight 35658393 (94.94/col)
Mon May  4 19:11:54 2015  sparse part has weight 25406778 (67.64/col)
Mon May  4 19:11:58 2015  matrix starts at (0, 0)
Mon May  4 19:11:58 2015  matrix is 375398 x 375595 (112.7 MB) with weight 35658393 (94.94/col)
Mon May  4 19:11:58 2015  sparse part has weight 25406778 (67.64/col)
Mon May  4 19:11:58 2015  saving the first 48 matrix rows for later
Mon May  4 19:11:58 2015  matrix includes 64 packed rows
Mon May  4 19:11:58 2015  matrix is 375350 x 375595 (108.7 MB) with weight 28430163 (75.69/col)
Mon May  4 19:11:58 2015  sparse part has weight 24751733 (65.90/col)
Mon May  4 19:11:58 2015  using block size 65536 for processor cache size 8192 kB
Mon May  4 19:11:59 2015  commencing Lanczos iteration (8 threads)
Mon May  4 19:11:59 2015  memory use: 102.8 MB
Mon May  4 19:12:07 2015  linear algebra at 3.2%, ETA 0h 3m
Mon May  4 19:16:10 2015  lanczos halted after 5937 iterations (dim = 375350)
Mon May  4 19:16:11 2015  recovered 35 nontrivial dependencies
Mon May  4 19:16:11 2015  BLanczosTime: 280
Mon May  4 19:16:11 2015  
Mon May  4 19:16:11 2015  commencing square root phase
Mon May  4 19:16:11 2015  reading relations for dependency 1
Mon May  4 19:16:11 2015  read 187758 cycles
Mon May  4 19:16:11 2015  cycles contain 704624 unique relations
Mon May  4 19:16:16 2015  read 704624 relations
Mon May  4 19:16:17 2015  multiplying 704624 relations
Mon May  4 19:16:31 2015  multiply complete, coefficients have about 29.64 million bits
Mon May  4 19:16:31 2015  initial square root is modulo 324382753
Mon May  4 19:16:50 2015  sqrtTime: 39
--
n: 73887604295627603291240391545522390657415059917307314038384920193621051275484444136985346638334941036717
skew: 2055031.87
c0: -7149672062870317049147768403
c1: -86619486171075993083
c2: -18362782597212197
c3: 1108506727
c4: 3876
Y0: -11750245657617927106664720
Y1: 3000828939733
rlim: 2360000
alim: 2360000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e62392300Serge BatalovDecember 20, 2014 21:19:31 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 31 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:19 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 19 秒 (日本時間)
1792Youcef LemsaferJanuary 29, 2015 06:27:12 UTC 2015 年 1 月 29 日 (木) 15 時 27 分 12 秒 (日本時間)
4511e6768 / 3946Youcef LemsaferJanuary 31, 2015 16:35:10 UTC 2015 年 2 月 1 日 (日) 1 時 35 分 10 秒 (日本時間)

94×10176-13

c175

name 名前Serge Batalov
date 日付December 20, 2014 01:29:43 UTC 2014 年 12 月 20 日 (土) 10 時 29 分 43 秒 (日本時間)
composite number 合成数
8311229000884173297966401414677276746242263483642793987621573828470380194518125552608311229000884173297966401414677276746242263483642793987621573828470380194518125552608311229<175>
prime factors 素因数
143060174602027154497580463339991253<36>
composite cofactor 合成数の残り
58096035629795768878139381746025506137232053623374698573455599101736867173771874369699215562293520909179455789606686934614922663901475249993<140>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2625631724
Step 1 took 13692ms
Step 2 took 9164ms
********** Factor found in step 2: 143060174602027154497580463339991253
Found probable prime factor of 36 digits: 143060174602027154497580463339991253
Composite cofactor

c140

name 名前Jo Yeong Uk
date 日付September 23, 2015 01:44:26 UTC 2015 年 9 月 23 日 (水) 10 時 44 分 26 秒 (日本時間)
composite number 合成数
58096035629795768878139381746025506137232053623374698573455599101736867173771874369699215562293520909179455789606686934614922663901475249993<140>
prime factors 素因数
31042047091178314325837283766649476384183081385311377220271053<62>
1871527204992411522087624421088770126403711519960039539058336859448183506799981<79>
factorization results 素因数分解の結果
Number: 31333_176
N=58096035629795768878139381746025506137232053623374698573455599101736867173771874369699215562293520909179455789606686934614922663901475249993
  ( 140 digits)
SNFS difficulty: 177 digits.
Divisors found:
 r1=31042047091178314325837283766649476384183081385311377220271053
 r2=1871527204992411522087624421088770126403711519960039539058336859448183506799981
Version: 
Total time: 35.32 hours.
Scaled time: 185.46 units (timescale=5.251).
Factorization parameters were as follows:
n: 58096035629795768878139381746025506137232053623374698573455599101736867173771874369699215562293520909179455789606686934614922663901475249993
m: 100000000000000000000000000000000000
deg: 5
c5: 940
c0: -1
skew: 0.25
# Murphy_E = 1.17e-10
type: snfs
lss: 1
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [4000000, 7900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18256710
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1356225 x 1356473
Total sieving time: 31.37 hours.
Total relation processing time: 1.78 hours.
Matrix solve time: 2.08 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,53,53,2.5,2.5,100000
total time: 35.32 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49365540k/51380224k available (5394k kernel code, 1086460k absent, 928224k reserved, 7014k data, 1296k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.70 BogoMIPS (lpj=3399854)
Total of 12 processors activated (81596.49 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
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 18:02:15 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 15 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:37 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 37 秒 (日本時間)

94×10178-13

c178

name 名前Robert Backstrom
date 日付December 24, 2014 13:57:20 UTC 2014 年 12 月 24 日 (水) 22 時 57 分 20 秒 (日本時間)
composite number 合成数
1876247504990019960079840319361277445109780439121756487025948103792415169660678642714570858283433133732534930139720558882235528942115768463073852295409181636726546906187624750499<178>
prime factors 素因数
220625409361091125204371870180178264811912491<45>
8504222203704654868452271193188825262404373386785994630854956076289955073707767580888401454974839028888433805140032202150798515606889<133>
factorization results 素因数分解の結果
Number: n
N=1876247504990019960079840319361277445109780439121756487025948103792415169660678642714570858283433133732534930139720558882235528942115768463073852295409181636726546906187624750499
  ( 178 digits)
SNFS difficulty: 179 digits.
Divisors found:

Thu Dec 25 00:54:32 2014  prp45 factor: 220625409361091125204371870180178264811912491
Thu Dec 25 00:54:32 2014  prp133 factor: 8504222203704654868452271193188825262404373386785994630854956076289955073707767580888401454974839028888433805140032202150798515606889
Thu Dec 25 00:54:32 2014  elapsed time 00:44:59 (Msieve 1.44 - dependency 4)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.270).
Factorization parameters were as follows:
#
#  N = 94*10^178-1 313(178)
#
n: 1876247504990019960079840319361277445109780439121756487025948103792415169660678642714570858283433133732534930139720558882235528942115768463073852295409181636726546906187624750499
m: 100000000000000000000000000000000000
deg: 5
c5: 94000
c0: -1
skew: 0.10
# Murphy_E = 8.218e-11
type: snfs
lss: 1
rlim: 7000000
alim: 7000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 14700000)
Primes: RFBsize:476648, AFBsize:477884,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 4924622 hash collisions in 28977061 relations (25247593 unique)
Msieve: matrix is 983531 x 983756 (276.2 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0hrs 29min 14sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 10min 13sec.

Prototype def-par.txt line would be:
snfs,179,5,0,0,0,0,0,0,0,0,7000000,7000000,28,28,53,53,2.5,2.5,100000
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 18:02:16 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 16 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)

94×10179-13

c167

name 名前Jo Yeong Uk
date 日付December 22, 2015 01:11:25 UTC 2015 年 12 月 22 日 (火) 10 時 11 分 25 秒 (日本時間)
composite number 合成数
58899141047643172672871255901445869239435040121220556895461814610645652937788557837321996726704076130648604964397568317466118861453062795824989900112864469151006759779<167>
prime factors 素因数
50833467796491701197113257860130522514253830157447<50>
1158668562283451537470610878825343296071825974324022291178605304188290469067616789628330020706442168388592184673989957<118>
factorization results 素因数分解の結果
Number: 31333_179
N=58899141047643172672871255901445869239435040121220556895461814610645652937788557837321996726704076130648604964397568317466118861453062795824989900112864469151006759779
  ( 167 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=50833467796491701197113257860130522514253830157447
 r2=1158668562283451537470610878825343296071825974324022291178605304188290469067616789628330020706442168388592184673989957
Version: 
Total time: 52.50 hours.
Scaled time: 273.60 units (timescale=5.211).
Factorization parameters were as follows:
n: 58899141047643172672871255901445869239435040121220556895461814610645652937788557837321996726704076130648604964397568317466118861453062795824989900112864469151006759779
m: 1000000000000000000000000000000000000
deg: 5
c5: 47
c0: -5
skew: 0.64
# Murphy_E = 8.496e-11
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [2900000, 5400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18000701
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1338317 x 1338563
Total sieving time: 49.19 hours.
Total relation processing time: 1.16 hours.
Matrix solve time: 2.08 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,5800000,5800000,28,28,53,53,2.5,2.5,100000
total time: 52.50 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)
403e62392300Serge BatalovDecember 20, 2014 21:19:31 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 31 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:19 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 19 秒 (日本時間)
1792Youcef LemsaferJanuary 29, 2015 06:28:03 UTC 2015 年 1 月 29 日 (木) 15 時 28 分 3 秒 (日本時間)
4511e6768 / 3946Youcef LemsaferJanuary 31, 2015 18:04:07 UTC 2015 年 2 月 1 日 (日) 3 時 4 分 7 秒 (日本時間)

94×10180-13

c118

name 名前Cyp
date 日付December 22, 2014 18:32:20 UTC 2014 年 12 月 23 日 (火) 3 時 32 分 20 秒 (日本時間)
composite number 合成数
8262890190672929300658386412768274315335981162048245247796723832326858018938546981822561189398050436626502592818177779<118>
prime factors 素因数
119166373680075252741213132615548374581339097092633053<54>
69339109142116099530722630210082140076322292366886693754024310543<65>
factorization results 素因数分解の結果
12/22/14 12:18:58 v1.34.3, 
12/22/14 12:18:58 v1.34.3, ****************************
12/22/14 12:18:58 v1.34.3, Starting factorization of 8262890190672929300658386412768274315335981162048245247796723832326858018938546981822561189398050436626502592818177779
12/22/14 12:18:58 v1.34.3, using pretesting plan: none
12/22/14 12:18:58 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/22/14 12:18:58 v1.34.3, ****************************
12/22/14 12:18:58 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C118
12/22/14 12:18:58 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C118
12/22/14 12:18:58 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C118
12/22/14 12:18:58 v1.34.3, final ECM pretested depth: 0.00
12/22/14 12:18:58 v1.34.3, scheduler: switching to sieve method
12/22/14 12:18:58 v1.34.3, nfs: commencing nfs on c118: 8262890190672929300658386412768274315335981162048245247796723832326858018938546981822561189398050436626502592818177779
12/22/14 12:18:58 v1.34.3, nfs: commencing poly selection with 8 threads
12/22/14 12:18:58 v1.34.3, nfs: setting deadline of 1406 seconds
12/22/14 12:43:41 v1.34.3, nfs: completed 99 ranges of size 250 in 1482.7459 seconds
12/22/14 12:43:41 v1.34.3, nfs: best poly = # norm 2.871208e-11 alpha -6.645939 e 3.578e-10 rroots 3
12/22/14 12:43:41 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/22/14 12:54:00 v1.34.3, nfs: commencing lattice sieving with 8 threads
[31 lines snipped]
12/22/14 18:15:29 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/22/14 18:23:18 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/22/14 18:30:46 v1.34.3, nfs: commencing msieve filtering
12/22/14 18:34:37 v1.34.3, nfs: commencing msieve linear algebra
12/22/14 19:15:30 v1.34.3, nfs: commencing msieve sqrt
12/22/14 19:32:19 v1.34.3, prp54 = 119166373680075252741213132615548374581339097092633053
12/22/14 19:32:19 v1.34.3, prp65 = 69339109142116099530722630210082140076322292366886693754024310543
12/22/14 19:32:19 v1.34.3, NFS elapsed time = 26001.1797 seconds.
12/22/14 19:32:19 v1.34.3, 
12/22/14 19:32:19 v1.34.3, 
12/22/14 19:32:19 v1.34.3, Total factoring time = 26001.2052 seconds
--
Mon Dec 22 18:30:46 2014  
Mon Dec 22 18:30:46 2014  commencing relation filtering
Mon Dec 22 18:30:46 2014  estimated available RAM is 15987.3 MB
Mon Dec 22 18:30:46 2014  commencing duplicate removal, pass 1
Mon Dec 22 18:31:45 2014  found 1092068 hash collisions in 10164390 relations
Mon Dec 22 18:32:03 2014  added 62613 free relations
Mon Dec 22 18:32:03 2014  commencing duplicate removal, pass 2
Mon Dec 22 18:32:17 2014  found 538295 duplicates and 9688708 unique relations
Mon Dec 22 18:32:17 2014  memory use: 41.3 MB
Mon Dec 22 18:32:17 2014  reading ideals above 100000
Mon Dec 22 18:32:17 2014  commencing singleton removal, initial pass
Mon Dec 22 18:33:43 2014  memory use: 344.5 MB
Mon Dec 22 18:33:43 2014  reading all ideals from disk
Mon Dec 22 18:33:43 2014  memory use: 341.0 MB
Mon Dec 22 18:33:44 2014  keeping 10764777 ideals with weight <= 200, target excess is 49850
Mon Dec 22 18:33:45 2014  commencing in-memory singleton removal
Mon Dec 22 18:33:46 2014  begin with 9688708 relations and 10764777 unique ideals
Mon Dec 22 18:33:54 2014  reduce to 3336568 relations and 3220504 ideals in 19 passes
Mon Dec 22 18:33:54 2014  max relations containing the same ideal: 97
Mon Dec 22 18:33:56 2014  removing 356440 relations and 327321 ideals in 29119 cliques
Mon Dec 22 18:33:56 2014  commencing in-memory singleton removal
Mon Dec 22 18:33:56 2014  begin with 2980128 relations and 3220504 unique ideals
Mon Dec 22 18:33:59 2014  reduce to 2946033 relations and 2858658 ideals in 10 passes
Mon Dec 22 18:33:59 2014  max relations containing the same ideal: 91
Mon Dec 22 18:34:01 2014  removing 259496 relations and 230377 ideals in 29119 cliques
Mon Dec 22 18:34:01 2014  commencing in-memory singleton removal
Mon Dec 22 18:34:01 2014  begin with 2686537 relations and 2858658 unique ideals
Mon Dec 22 18:34:04 2014  reduce to 2665795 relations and 2607285 ideals in 9 passes
Mon Dec 22 18:34:04 2014  max relations containing the same ideal: 86
Mon Dec 22 18:34:05 2014  relations with 0 large ideals: 169
Mon Dec 22 18:34:05 2014  relations with 1 large ideals: 473
Mon Dec 22 18:34:05 2014  relations with 2 large ideals: 7187
Mon Dec 22 18:34:05 2014  relations with 3 large ideals: 58923
Mon Dec 22 18:34:05 2014  relations with 4 large ideals: 247299
Mon Dec 22 18:34:05 2014  relations with 5 large ideals: 584441
Mon Dec 22 18:34:05 2014  relations with 6 large ideals: 797219
Mon Dec 22 18:34:05 2014  relations with 7+ large ideals: 970084
Mon Dec 22 18:34:05 2014  commencing 2-way merge
Mon Dec 22 18:34:07 2014  reduce to 1470875 relation sets and 1412368 unique ideals
Mon Dec 22 18:34:07 2014  ignored 3 oversize relation sets
Mon Dec 22 18:34:07 2014  commencing full merge
Mon Dec 22 18:34:28 2014  memory use: 156.1 MB
Mon Dec 22 18:34:28 2014  found 728961 cycles, need 722568
Mon Dec 22 18:34:28 2014  weight of 722568 cycles is about 50660656 (70.11/cycle)
Mon Dec 22 18:34:28 2014  distribution of cycle lengths:
Mon Dec 22 18:34:28 2014  1 relations: 90969
Mon Dec 22 18:34:28 2014  2 relations: 87098
Mon Dec 22 18:34:28 2014  3 relations: 83841
Mon Dec 22 18:34:28 2014  4 relations: 74403
Mon Dec 22 18:34:28 2014  5 relations: 64214
Mon Dec 22 18:34:28 2014  6 relations: 54202
Mon Dec 22 18:34:28 2014  7 relations: 47461
Mon Dec 22 18:34:28 2014  8 relations: 39329
Mon Dec 22 18:34:28 2014  9 relations: 33529
Mon Dec 22 18:34:28 2014  10+ relations: 147522
Mon Dec 22 18:34:28 2014  heaviest cycle: 24 relations
Mon Dec 22 18:34:28 2014  commencing cycle optimization
Mon Dec 22 18:34:30 2014  start with 4390784 relations
Mon Dec 22 18:34:36 2014  pruned 79062 relations
Mon Dec 22 18:34:36 2014  memory use: 151.3 MB
Mon Dec 22 18:34:36 2014  distribution of cycle lengths:
Mon Dec 22 18:34:36 2014  1 relations: 90969
Mon Dec 22 18:34:36 2014  2 relations: 88814
Mon Dec 22 18:34:36 2014  3 relations: 86194
Mon Dec 22 18:34:36 2014  4 relations: 75516
Mon Dec 22 18:34:36 2014  5 relations: 65176
Mon Dec 22 18:34:36 2014  6 relations: 54689
Mon Dec 22 18:34:36 2014  7 relations: 47459
Mon Dec 22 18:34:36 2014  8 relations: 39020
Mon Dec 22 18:34:36 2014  9 relations: 33065
Mon Dec 22 18:34:36 2014  10+ relations: 141666
Mon Dec 22 18:34:36 2014  heaviest cycle: 24 relations
Mon Dec 22 18:34:37 2014  RelProcTime: 231
Mon Dec 22 18:34:37 2014  
Mon Dec 22 18:34:37 2014  commencing linear algebra
Mon Dec 22 18:34:37 2014  read 722568 cycles
Mon Dec 22 18:34:38 2014  cycles contain 2584878 unique relations
Mon Dec 22 18:35:01 2014  read 2584878 relations
Mon Dec 22 18:35:04 2014  using 20 quadratic characters above 134217498
Mon Dec 22 18:35:14 2014  building initial matrix
Mon Dec 22 18:35:41 2014  memory use: 327.3 MB
Mon Dec 22 18:35:41 2014  read 722568 cycles
Mon Dec 22 18:35:42 2014  matrix is 722389 x 722568 (220.2 MB) with weight 69327651 (95.95/col)
Mon Dec 22 18:35:42 2014  sparse part has weight 49054463 (67.89/col)
Mon Dec 22 18:35:48 2014  filtering completed in 2 passes
Mon Dec 22 18:35:48 2014  matrix is 720733 x 720911 (220.1 MB) with weight 69259357 (96.07/col)
Mon Dec 22 18:35:48 2014  sparse part has weight 49035939 (68.02/col)
Mon Dec 22 18:35:50 2014  matrix starts at (0, 0)
Mon Dec 22 18:35:50 2014  matrix is 720733 x 720911 (220.1 MB) with weight 69259357 (96.07/col)
Mon Dec 22 18:35:50 2014  sparse part has weight 49035939 (68.02/col)
Mon Dec 22 18:35:50 2014  saving the first 48 matrix rows for later
Mon Dec 22 18:35:51 2014  matrix includes 64 packed rows
Mon Dec 22 18:35:51 2014  matrix is 720685 x 720911 (211.1 MB) with weight 55230128 (76.61/col)
Mon Dec 22 18:35:51 2014  sparse part has weight 48128352 (66.76/col)
Mon Dec 22 18:35:51 2014  using block size 65536 for processor cache size 8192 kB
Mon Dec 22 18:35:54 2014  commencing Lanczos iteration (8 threads)
Mon Dec 22 18:35:54 2014  memory use: 201.5 MB
Mon Dec 22 18:36:02 2014  linear algebra at 0.4%, ETA 0h31m
Mon Dec 22 19:15:28 2014  lanczos halted after 11398 iterations (dim = 720682)
Mon Dec 22 19:15:30 2014  recovered 28 nontrivial dependencies
Mon Dec 22 19:15:30 2014  BLanczosTime: 2453
Mon Dec 22 19:15:30 2014  
Mon Dec 22 19:15:30 2014  commencing square root phase
Mon Dec 22 19:15:30 2014  reading relations for dependency 1
Mon Dec 22 19:15:30 2014  read 360676 cycles
Mon Dec 22 19:15:31 2014  cycles contain 1293358 unique relations
Mon Dec 22 19:15:50 2014  read 1293358 relations
Mon Dec 22 19:15:59 2014  multiplying 1293358 relations
Mon Dec 22 19:17:41 2014  multiply complete, coefficients have about 56.20 million bits
Mon Dec 22 19:17:42 2014  initial square root is modulo 117105013
Mon Dec 22 19:19:31 2014  GCD is N, no factor found
Mon Dec 22 19:19:31 2014  reading relations for dependency 2
Mon Dec 22 19:19:31 2014  read 360093 cycles
Mon Dec 22 19:19:32 2014  cycles contain 1291410 unique relations
Mon Dec 22 19:19:53 2014  read 1291410 relations
Mon Dec 22 19:20:01 2014  multiplying 1291410 relations
Mon Dec 22 19:21:39 2014  multiply complete, coefficients have about 56.12 million bits
Mon Dec 22 19:21:40 2014  initial square root is modulo 113870377
Mon Dec 22 19:23:54 2014  GCD is N, no factor found
Mon Dec 22 19:23:54 2014  reading relations for dependency 3
Mon Dec 22 19:23:54 2014  read 360151 cycles
Mon Dec 22 19:23:55 2014  cycles contain 1290290 unique relations
Mon Dec 22 19:24:15 2014  read 1290290 relations
Mon Dec 22 19:24:23 2014  multiplying 1290290 relations
Mon Dec 22 19:25:53 2014  multiply complete, coefficients have about 56.07 million bits
Mon Dec 22 19:25:54 2014  initial square root is modulo 112038229
Mon Dec 22 19:28:10 2014  GCD is N, no factor found
Mon Dec 22 19:28:10 2014  reading relations for dependency 4
Mon Dec 22 19:28:10 2014  read 359742 cycles
Mon Dec 22 19:28:11 2014  cycles contain 1290114 unique relations
Mon Dec 22 19:28:31 2014  read 1290114 relations
Mon Dec 22 19:28:39 2014  multiplying 1290114 relations
Mon Dec 22 19:30:04 2014  multiply complete, coefficients have about 56.06 million bits
Mon Dec 22 19:30:04 2014  initial square root is modulo 111758891
Mon Dec 22 19:32:19 2014  sqrtTime: 1009
--
n: 8262890190672929300658386412768274315335981162048245247796723832326858018938546981822561189398050436626502592818177779
skew: 113125.94
c0: -73203717463240033638326532375
c1: -462235468757514975823665
c2: 47342838268022271179
c3: -34310894101021
c4: -1576469806
c5: 9384
Y0: -61510474347359636329114
Y1: 1179186357089
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

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

94×10181-13

c132

name 名前TeamFUN
date 日付June 29, 2015 02:14:12 UTC 2015 年 6 月 29 日 (月) 11 時 14 分 12 秒 (日本時間)
composite number 合成数
636868299194648272837163305688576465888226371666955184600977451284158618305079552062694606518007777649821042687514739084895972567089<132>
prime factors 素因数
6864145860319153461214692321255784462067999443489<49>
92781871503679937449462506621579283777897892858216539830837166678018325261028752401<83>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 5.1.3, --enable-asm-redc] [ECM]
Input number is 636868299194648272837163305688576465888226371666955184600977451284158618305079552062694606518007777649821042687514739084895972567089 (132 digits)
Using B1=30000000, B2=144289285156, polynomial Dickson(12), sigma=2128531167
Step 1 took 100161ms
Step 2 took 32470ms
********** Factor found in step 2: 6864145860319153461214692321255784462067999443489
Found probable prime factor of 49 digits: 6864145860319153461214692321255784462067999443489
Probable prime cofactor 92781871503679937449462506621579283777897892858216539830837166678018325261028752401 has 83 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)
403e62392300Serge BatalovDecember 20, 2014 21:19:32 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 32 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:19 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 19 秒 (日本時間)
1792Youcef LemsaferJanuary 29, 2015 06:28:42 UTC 2015 年 1 月 29 日 (木) 15 時 28 分 42 秒 (日本時間)
4511e6768 / 3946Youcef LemsaferJanuary 31, 2015 20:39:03 UTC 2015 年 2 月 1 日 (日) 5 時 39 分 3 秒 (日本時間)

94×10182-13

c144

name 名前Serge Batalov
date 日付December 21, 2014 01:51:18 UTC 2014 年 12 月 21 日 (日) 10 時 51 分 18 秒 (日本時間)
composite number 合成数
493883442067199771089261648295014516921517047021785476607157068274008714909834812135363628043641294099807986657973326062886220743546965335718847<144>
prime factors 素因数
20121756804258120590206598071189097<35>
24544747601893552154661500200849117532134473444367547600874301691328445794646839874980299197236467040733131751<110>
factorization results 素因数分解の結果
Input number is 493883442067199771089261648295014516921517047021785476607157068274008714909834812135363628043641294099807986657973326062886220743546965335718847 (144 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1640626176
Step 1 took 10397ms
Step 2 took 5981ms
********** Factor found in step 2: 20121756804258120590206598071189097
Found probable prime factor of 35 digits: 20121756804258120590206598071189097
Probable prime cofactor 24544747601893552154661500200849117532134473444367547600874301691328445794646839874980299197236467040733131751 has 110 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 21:19:32 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 32 秒 (日本時間)

94×10183-13

c168

name 名前Jo Yeong Uk
date 日付April 28, 2016 03:22:17 UTC 2016 年 4 月 28 日 (木) 12 時 22 分 17 秒 (日本時間)
composite number 合成数
218894217938591494006682392073302600475610273020185439875461072080025978445212175269528020470623327419621304228013748999339726825299555554763941985826230678676488911103<168>
prime factors 素因数
1995942602034699463090839069351753504114907233986484033012530122658569586100585371<82>
109669595566248662056036468416474252045742704482548247285873042862645562190287697219693<87>
factorization results 素因数分解の結果
Number: 31333_183
N=218894217938591494006682392073302600475610273020185439875461072080025978445212175269528020470623327419621304228013748999339726825299555554763941985826230678676488911103
  ( 168 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=1995942602034699463090839069351753504114907233986484033012530122658569586100585371
 r2=109669595566248662056036468416474252045742704482548247285873042862645562190287697219693
Version: 
Total time: 76.48 hours.
Scaled time: 394.92 units (timescale=5.164).
Factorization parameters were as follows:
n: 218894217938591494006682392073302600475610273020185439875461072080025978445212175269528020470623327419621304228013748999339726825299555554763941985826230678676488911103
m: 2000000000000000000000000000000000000
deg: 5
c5: 5875
c0: -2
skew: 0.20
# Murphy_E = 5.156e-11
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [3600000, 7100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20440290
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1599162 x 1599410
Total sieving time: 71.21 hours.
Total relation processing time: 1.88 hours.
Matrix solve time: 3.24 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,54,54,2.5,2.5,100000
total time: 76.48 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49365464k/51380224k available (5398k kernel code, 1086460k absent, 928300k reserved, 7010k data, 1296k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.67 BogoMIPS (lpj=3399839)
Total of 12 processors activated (81596.13 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)
403e62392300Serge BatalovDecember 20, 2014 21:19:33 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 33 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:20 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 20 秒 (日本時間)
1792Youcef LemsaferJanuary 29, 2015 06:29:56 UTC 2015 年 1 月 29 日 (木) 15 時 29 分 56 秒 (日本時間)
4511e6768 / 3946Youcef LemsaferJanuary 31, 2015 21:25:08 UTC 2015 年 2 月 1 日 (日) 6 時 25 分 8 秒 (日本時間)

94×10184-13

c146

name 名前Jo Yeong Uk
date 日付June 24, 2016 14:28:21 UTC 2016 年 6 月 24 日 (金) 23 時 28 分 21 秒 (日本時間)
composite number 合成数
13927434038479826960155258526619246434578395762344374909259437196767607036205434287013218666691902295769580947097067030670205325546944457839224431<146>
prime factors 素因数
17103064067675156738405385286431474911815794087466775006882139724625027<71>
814323911982690854743642639502310094839583699747024472093917088233062374053<75>
factorization results 素因数分解の結果
Number: 31333_184
N=13927434038479826960155258526619246434578395762344374909259437196767607036205434287013218666691902295769580947097067030670205325546944457839224431
  ( 146 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=17103064067675156738405385286431474911815794087466775006882139724625027
 r2=814323911982690854743642639502310094839583699747024472093917088233062374053
Version: 
Total time: 78.58 hours.
Scaled time: 412.85 units (timescale=5.254).
Factorization parameters were as follows:
n: 13927434038479826960155258526619246434578395762344374909259437196767607036205434287013218666691902295769580947097067030670205325546944457839224431
m: 10000000000000000000000000000000000000
deg: 5
c5: 47
c0: -5
skew: 0.64
# Murphy_E = 5.316e-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, 7300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20623060
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1617570 x 1617817
Total sieving time: 73.12 hours.
Total relation processing time: 1.94 hours.
Matrix solve time: 3.31 hours.
Time per square root: 0.20 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: 78.58 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)
403e62392300Serge BatalovDecember 20, 2014 21:19:33 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 33 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:20 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 20 秒 (日本時間)
1792Youcef LemsaferJanuary 29, 2015 06:30:50 UTC 2015 年 1 月 29 日 (木) 15 時 30 分 50 秒 (日本時間)
4511e6768 / 3946Youcef LemsaferJanuary 31, 2015 22:56:06 UTC 2015 年 2 月 1 日 (日) 7 時 56 分 6 秒 (日本時間)

94×10187-13

c160

name 名前Serge Batalov
date 日付December 21, 2014 01:51:22 UTC 2014 年 12 月 21 日 (日) 10 時 51 分 22 秒 (日本時間)
composite number 合成数
1872456514516088720178763378752469487802226158930967877679353480631526406502855590292280468389132846908350768790560355626598541582503962724852703020561650767257<160>
prime factors 素因数
150196812001427035730260257743741<33>
composite cofactor 合成数の残り
12466686140437510175771365255692429126994536294355783368499717770708302261012960689465069087926266216054991690940161952630611277<128>
factorization results 素因数分解の結果
Input number is 1872456514516088720178763378752469487802226158930967877679353480631526406502855590292280468389132846908350768790560355626598541582503962724852703020561650767257 (160 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1320915304
Step 1 took 10983ms
Step 2 took 8052ms
********** Factor found in step 2: 150196812001427035730260257743741
Found probable prime factor of 33 digits: 150196812001427035730260257743741
Composite cofactor 12466686140437510175771365255692429126994536294355783368499717770708302261012960689465069087926266216054991690940161952630611277 has 128 digits

c128

name 名前Erik Branger
date 日付February 10, 2015 16:39:34 UTC 2015 年 2 月 11 日 (水) 1 時 39 分 34 秒 (日本時間)
composite number 合成数
12466686140437510175771365255692429126994536294355783368499717770708302261012960689465069087926266216054991690940161952630611277<128>
prime factors 素因数
74708861649392904554616616093540125416930794939589387<53>
166870246249279001592702038433113725512165231381896766443916235159575230471<75>
factorization results 素因数分解の結果
Number: 31333_187
N = 12466686140437510175771365255692429126994536294355783368499717770708302261012960689465069087926266216054991690940161952630611277 (128 digits)
Divisors found:
r1=74708861649392904554616616093540125416930794939589387 (pp53)
r2=166870246249279001592702038433113725512165231381896766443916235159575230471 (pp75)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 31.95 hours.
Factorization parameters were as follows:
# Murphy_E = 1.071e-10, selected by Maksym Voznyy
n: 12466686140437510175771365255692429126994536294355783368499717770708302261012960689465069087926266216054991690940161952630611277
Y0: -7303299292068571705972341
Y1: 15434483657527
c0: -151438549005211464979897285565600
c1: 1059535267938081077605105214
c2: -56528222687002214307
c3: -2385943581130928
c4: 2799701348
c5: 600
skew: 979445.56
type: gnfs
# selected mechanically
rlim: 8200000
alim: 8200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8200000/8200000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 17226630
Relations: 1966134 relations
Pruned matrix : 1149020 x 1149249
Polynomial selection time: 0.00 hours.
Total sieving time: 30.90 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.75 hours.
time per square root: 0.21 hours.
Prototype def-par.txt line would be: gnfs,127,5,65,2000,1e-05,0.28,250,20,50000,3600,8200000,8200000,28,28,53,53,2.5,2.5,100000
total time: 31.95 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 20, 2014 21:19:34 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 34 秒 (日本時間)
4511e6820 / 4409Pierre JammesDecember 30, 2014 04:34:42 UTC 2014 年 12 月 30 日 (火) 13 時 34 分 42 秒 (日本時間)

94×10188-13

c189

name 名前Robert Backstrom
date 日付December 28, 2014 12:41:06 UTC 2014 年 12 月 28 日 (日) 21 時 41 分 6 秒 (日本時間)
composite number 合成数
241025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641<189>
prime factors 素因数
1344998039530290898786308016227122770473137523211<49>
179201481297187312151986278938065210514089241840928534177865432724505963897580180297122133034409937256965780504494542661772310708949872135131<141>
factorization results 素因数分解の結果
Number: n
N=241025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641
  ( 189 digits)
SNFS difficulty: 189 digits.
Divisors found:

Sun Dec 28 23:37:56 2014  prp49 factor: 1344998039530290898786308016227122770473137523211
Sun Dec 28 23:37:56 2014  prp141 factor: 179201481297187312151986278938065210514089241840928534177865432724505963897580180297122133034409937256965780504494542661772310708949872135131
Sun Dec 28 23:37:56 2014  elapsed time 01:00:38 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.274).
Factorization parameters were as follows:
#
#  N = 94*10^188-1 313(188)
#
n: 241025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641
m: 10000000000000000000000000000000000000
deg: 5
c5: 94000
c0: -1
skew: 0.10
# Murphy_E = 3.221e-11
type: snfs
lss: 1
rlim: 10300000
alim: 10300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10300000/10300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 16350000)
Primes: RFBsize:683178, AFBsize:683651,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 4942730 hash collisions in 36270882 relations (32519966 unique)
Msieve: matrix is 1180032 x 1180260 (332.1 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0hrs 48min 45sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 17sec.

Prototype def-par.txt line would be:
snfs,189,5,0,0,0,0,0,0,0,0,10300000,10300000,28,28,54,54,2.5,2.5,100000
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 18:02:22 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 22 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:43 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 43 秒 (日本時間)

94×10190-13

c162

name 名前Jo Yeong Uk
date 日付March 11, 2017 03:55:55 UTC 2017 年 3 月 11 日 (土) 12 時 55 分 55 秒 (日本時間)
composite number 合成数
220506202835008481848386245691381702050249049626832150267518953200944234267297445956560904515884107940415817968300200922993508073754539170371414313100096268847303<162>
prime factors 素因数
3621276601410355209998668428388981540870888141449455238377096217175978711<73>
60891842050709231977958402300555226476894014612996818174159791512716737456148049316547473<89>
factorization results 素因数分解の結果
Number: 31333_190
N=220506202835008481848386245691381702050249049626832150267518953200944234267297445956560904515884107940415817968300200922993508073754539170371414313100096268847303
  ( 162 digits)
SNFS difficulty: 191 digits.
Divisors found:
 r1=3621276601410355209998668428388981540870888141449455238377096217175978711
 r2=60891842050709231977958402300555226476894014612996818174159791512716737456148049316547473
Version: 
Total time: 100.49 hours.
Scaled time: 527.99 units (timescale=5.254).
Factorization parameters were as follows:
n: 220506202835008481848386245691381702050249049626832150267518953200944234267297445956560904515884107940415817968300200922993508073754539170371414313100096268847303
m: 100000000000000000000000000000000000000
deg: 5
c5: 94
c0: -1
skew: 0.40
# Murphy_E = 3.729e-11
type: snfs
lss: 1
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4500000, 8900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20928026
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1831436 x 1831682
Total sieving time: 92.73 hours.
Total relation processing time: 2.41 hours.
Matrix solve time: 4.66 hours.
Time per square root: 0.69 hours.
Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,54,54,2.5,2.5,100000
total time: 100.49 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)
403e62392300Serge BatalovDecember 20, 2014 21:19:34 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 34 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:20 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 20 秒 (日本時間)
1792Youcef LemsaferJanuary 29, 2015 08:10:08 UTC 2015 年 1 月 29 日 (木) 17 時 10 分 8 秒 (日本時間)
4511e6768 / 3946Youcef LemsaferFebruary 1, 2015 08:42:37 UTC 2015 年 2 月 1 日 (日) 17 時 42 分 37 秒 (日本時間)

94×10191-13

c145

name 名前Serge Batalov
date 日付December 21, 2014 01:51:25 UTC 2014 年 12 月 21 日 (日) 10 時 51 分 25 秒 (日本時間)
composite number 合成数
1329085675475661597623337625776797064928009608481682294420024793369614259183817014347808806953104770400086625711702000737209658608108898500065127<145>
prime factors 素因数
156567516869613211193147982741013<33>
8488897965869266125629681614495965196698242211002775314945691656274320934951935762985850009526380666763494832779<112>
factorization results 素因数分解の結果
Input number is 1329085675475661597623337625776797064928009608481682294420024793369614259183817014347808806953104770400086625711702000737209658608108898500065127 (145 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2496542875
Step 1 took 9229ms
Step 2 took 7175ms
********** Factor found in step 2: 156567516869613211193147982741013
Found probable prime factor of 33 digits: 156567516869613211193147982741013
Probable prime cofactor 8488897965869266125629681614495965196698242211002775314945691656274320934951935762985850009526380666763494832779 has 112 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 21:19:34 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 34 秒 (日本時間)

94×10193-13

c129

name 名前Serge Batalov
date 日付December 19, 2014 17:58:18 UTC 2014 年 12 月 20 日 (土) 2 時 58 分 18 秒 (日本時間)
composite number 合成数
517020847707620190471885280008636995505027867761060427357966873865776864840609972647634054540406475504046199443833135128644607793<129>
prime factors 素因数
405504693527215802832157742987<30>
composite cofactor 合成数の残り
1275005828441588391220845559205468474533238304988440890820476725508255153905737351252488131346389939<100>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=2733194606
Step 1 took 2536ms
Step 2 took 568ms
********** Factor found in step 2: 405504693527215802832157742987
Found probable prime factor of 30 digits: 405504693527215802832157742987
Composite cofactor

c100

name 名前Cyp
date 日付December 20, 2014 14:48:50 UTC 2014 年 12 月 20 日 (土) 23 時 48 分 50 秒 (日本時間)
composite number 合成数
1275005828441588391220845559205468474533238304988440890820476725508255153905737351252488131346389939<100>
prime factors 素因数
54352358996451710206677539390563<32>
23458150703722440233607597244557833743804564319211369728805444592753<68>
factorization results 素因数分解の結果
12/20/14 15:03:03 v1.34.3, 
12/20/14 15:03:03 v1.34.3, ****************************
12/20/14 15:03:03 v1.34.3, Starting factorization of 1275005828441588391220845559205468474533238304988440890820476725508255153905737351252488131346389939
12/20/14 15:03:03 v1.34.3, using pretesting plan: none
12/20/14 15:03:03 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/20/14 15:03:03 v1.34.3, ****************************
12/20/14 15:03:03 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C100
12/20/14 15:03:03 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C100
12/20/14 15:03:03 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C100
12/20/14 15:03:03 v1.34.3, final ECM pretested depth: 0.00
12/20/14 15:03:03 v1.34.3, scheduler: switching to sieve method
12/20/14 15:03:03 v1.34.3, nfs: commencing nfs on c100: 1275005828441588391220845559205468474533238304988440890820476725508255153905737351252488131346389939
12/20/14 15:03:03 v1.34.3, nfs: commencing poly selection with 8 threads
12/20/14 15:03:03 v1.34.3, nfs: setting deadline of 152 seconds
12/20/14 15:06:08 v1.34.3, nfs: completed 77 ranges of size 250 in 184.4851 seconds
12/20/14 15:06:08 v1.34.3, nfs: best poly = # norm 1.329059e-13 alpha -5.151004 e 1.258e-08 rroots 2
12/20/14 15:06:08 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 15:08:42 v1.34.3, nfs: commencing lattice sieving with 8 threads
[9 lines snipped]
12/20/14 15:35:24 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 15:38:06 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 15:40:45 v1.34.3, nfs: commencing msieve filtering
12/20/14 15:41:57 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 15:44:44 v1.34.3, nfs: commencing msieve filtering
12/20/14 15:46:15 v1.34.3, nfs: commencing msieve linear algebra
12/20/14 15:48:27 v1.34.3, nfs: commencing msieve sqrt
12/20/14 15:48:49 v1.34.3, prp32 = 54352358996451710206677539390563
12/20/14 15:48:49 v1.34.3, prp68 = 23458150703722440233607597244557833743804564319211369728805444592753
12/20/14 15:48:49 v1.34.3, NFS elapsed time = 2745.7420 seconds.
12/20/14 15:48:49 v1.34.3, 
12/20/14 15:48:49 v1.34.3, 
12/20/14 15:48:49 v1.34.3, Total factoring time = 2745.7814 seconds
--
Sat Dec 20 15:40:45 2014  
Sat Dec 20 15:40:45 2014  commencing relation filtering
Sat Dec 20 15:40:45 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 15:40:45 2014  commencing duplicate removal, pass 1
Sat Dec 20 15:41:08 2014  found 408603 hash collisions in 4532679 relations
Sat Dec 20 15:41:15 2014  added 155208 free relations
Sat Dec 20 15:41:15 2014  commencing duplicate removal, pass 2
Sat Dec 20 15:41:20 2014  found 168001 duplicates and 4519886 unique relations
Sat Dec 20 15:41:20 2014  memory use: 19.6 MB
Sat Dec 20 15:41:20 2014  reading ideals above 100000
Sat Dec 20 15:41:21 2014  commencing singleton removal, initial pass
Sat Dec 20 15:41:53 2014  memory use: 172.2 MB
Sat Dec 20 15:41:53 2014  reading all ideals from disk
Sat Dec 20 15:41:53 2014  memory use: 139.8 MB
Sat Dec 20 15:41:53 2014  keeping 5243535 ideals with weight <= 200, target excess is 40648
Sat Dec 20 15:41:54 2014  commencing in-memory singleton removal
Sat Dec 20 15:41:54 2014  begin with 4519886 relations and 5243535 unique ideals
Sat Dec 20 15:41:57 2014  reduce to 1253347 relations and 1214153 ideals in 21 passes
Sat Dec 20 15:41:57 2014  max relations containing the same ideal: 84
Sat Dec 20 15:44:44 2014  
Sat Dec 20 15:44:44 2014  commencing relation filtering
Sat Dec 20 15:44:44 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 15:44:44 2014  commencing duplicate removal, pass 1
Sat Dec 20 15:45:13 2014  found 489698 hash collisions in 5059378 relations
Sat Dec 20 15:45:18 2014  added 1658 free relations
Sat Dec 20 15:45:18 2014  commencing duplicate removal, pass 2
Sat Dec 20 15:45:24 2014  found 194125 duplicates and 4866911 unique relations
Sat Dec 20 15:45:24 2014  memory use: 20.6 MB
Sat Dec 20 15:45:24 2014  reading ideals above 100000
Sat Dec 20 15:45:24 2014  commencing singleton removal, initial pass
Sat Dec 20 15:46:02 2014  memory use: 172.2 MB
Sat Dec 20 15:46:02 2014  reading all ideals from disk
Sat Dec 20 15:46:02 2014  memory use: 150.6 MB
Sat Dec 20 15:46:02 2014  keeping 5404121 ideals with weight <= 200, target excess is 43512
Sat Dec 20 15:46:03 2014  commencing in-memory singleton removal
Sat Dec 20 15:46:03 2014  begin with 4866911 relations and 5404121 unique ideals
Sat Dec 20 15:46:04 2014  reduce to 1677994 relations and 1529344 ideals in 18 passes
Sat Dec 20 15:46:04 2014  max relations containing the same ideal: 96
Sat Dec 20 15:46:05 2014  removing 352477 relations and 303389 ideals in 49088 cliques
Sat Dec 20 15:46:05 2014  commencing in-memory singleton removal
Sat Dec 20 15:46:05 2014  begin with 1325517 relations and 1529344 unique ideals
Sat Dec 20 15:46:05 2014  reduce to 1260878 relations and 1158741 ideals in 9 passes
Sat Dec 20 15:46:05 2014  max relations containing the same ideal: 78
Sat Dec 20 15:46:06 2014  removing 264532 relations and 215444 ideals in 49088 cliques
Sat Dec 20 15:46:06 2014  commencing in-memory singleton removal
Sat Dec 20 15:46:06 2014  begin with 996346 relations and 1158741 unique ideals
Sat Dec 20 15:46:06 2014  reduce to 947514 relations and 892397 ideals in 11 passes
Sat Dec 20 15:46:06 2014  max relations containing the same ideal: 67
Sat Dec 20 15:46:06 2014  relations with 0 large ideals: 706
Sat Dec 20 15:46:06 2014  relations with 1 large ideals: 6109
Sat Dec 20 15:46:06 2014  relations with 2 large ideals: 36741
Sat Dec 20 15:46:06 2014  relations with 3 large ideals: 132450
Sat Dec 20 15:46:06 2014  relations with 4 large ideals: 260270
Sat Dec 20 15:46:06 2014  relations with 5 large ideals: 288111
Sat Dec 20 15:46:06 2014  relations with 6 large ideals: 164665
Sat Dec 20 15:46:06 2014  relations with 7+ large ideals: 58462
Sat Dec 20 15:46:06 2014  commencing 2-way merge
Sat Dec 20 15:46:06 2014  reduce to 529782 relation sets and 474668 unique ideals
Sat Dec 20 15:46:06 2014  ignored 3 oversize relation sets
Sat Dec 20 15:46:06 2014  commencing full merge
Sat Dec 20 15:46:12 2014  memory use: 48.4 MB
Sat Dec 20 15:46:12 2014  found 246437 cycles, need 236868
Sat Dec 20 15:46:12 2014  weight of 236868 cycles is about 16808907 (70.96/cycle)
Sat Dec 20 15:46:12 2014  distribution of cycle lengths:
Sat Dec 20 15:46:12 2014  1 relations: 22991
Sat Dec 20 15:46:12 2014  2 relations: 22966
Sat Dec 20 15:46:12 2014  3 relations: 22930
Sat Dec 20 15:46:12 2014  4 relations: 21901
Sat Dec 20 15:46:12 2014  5 relations: 20318
Sat Dec 20 15:46:12 2014  6 relations: 18511
Sat Dec 20 15:46:12 2014  7 relations: 16953
Sat Dec 20 15:46:12 2014  8 relations: 14845
Sat Dec 20 15:46:12 2014  9 relations: 13322
Sat Dec 20 15:46:12 2014  10+ relations: 62131
Sat Dec 20 15:46:12 2014  heaviest cycle: 22 relations
Sat Dec 20 15:46:12 2014  commencing cycle optimization
Sat Dec 20 15:46:12 2014  start with 1608477 relations
Sat Dec 20 15:46:14 2014  pruned 38848 relations
Sat Dec 20 15:46:14 2014  memory use: 52.3 MB
Sat Dec 20 15:46:14 2014  distribution of cycle lengths:
Sat Dec 20 15:46:14 2014  1 relations: 22991
Sat Dec 20 15:46:14 2014  2 relations: 23479
Sat Dec 20 15:46:14 2014  3 relations: 23639
Sat Dec 20 15:46:14 2014  4 relations: 22400
Sat Dec 20 15:46:14 2014  5 relations: 20923
Sat Dec 20 15:46:14 2014  6 relations: 18860
Sat Dec 20 15:46:14 2014  7 relations: 17269
Sat Dec 20 15:46:14 2014  8 relations: 15068
Sat Dec 20 15:46:14 2014  9 relations: 13451
Sat Dec 20 15:46:14 2014  10+ relations: 58788
Sat Dec 20 15:46:14 2014  heaviest cycle: 22 relations
Sat Dec 20 15:46:15 2014  RelProcTime: 91
Sat Dec 20 15:46:15 2014  
Sat Dec 20 15:46:15 2014  commencing linear algebra
Sat Dec 20 15:46:15 2014  read 236868 cycles
Sat Dec 20 15:46:15 2014  cycles contain 865240 unique relations
Sat Dec 20 15:46:23 2014  read 865240 relations
Sat Dec 20 15:46:24 2014  using 20 quadratic characters above 67108110
Sat Dec 20 15:46:28 2014  building initial matrix
Sat Dec 20 15:46:37 2014  memory use: 104.4 MB
Sat Dec 20 15:46:37 2014  read 236868 cycles
Sat Dec 20 15:46:37 2014  matrix is 236677 x 236868 (71.2 MB) with weight 22575066 (95.31/col)
Sat Dec 20 15:46:37 2014  sparse part has weight 16054588 (67.78/col)
Sat Dec 20 15:46:39 2014  filtering completed in 2 passes
Sat Dec 20 15:46:39 2014  matrix is 235510 x 235699 (71.0 MB) with weight 22512304 (95.51/col)
Sat Dec 20 15:46:39 2014  sparse part has weight 16026112 (67.99/col)
Sat Dec 20 15:46:40 2014  matrix starts at (0, 0)
Sat Dec 20 15:46:40 2014  matrix is 235510 x 235699 (71.0 MB) with weight 22512304 (95.51/col)
Sat Dec 20 15:46:40 2014  sparse part has weight 16026112 (67.99/col)
Sat Dec 20 15:46:40 2014  saving the first 48 matrix rows for later
Sat Dec 20 15:46:40 2014  matrix includes 64 packed rows
Sat Dec 20 15:46:40 2014  matrix is 235462 x 235699 (68.3 MB) with weight 17803952 (75.54/col)
Sat Dec 20 15:46:40 2014  sparse part has weight 15541547 (65.94/col)
Sat Dec 20 15:46:40 2014  using block size 65536 for processor cache size 8192 kB
Sat Dec 20 15:46:41 2014  commencing Lanczos iteration (8 threads)
Sat Dec 20 15:46:41 2014  memory use: 64.1 MB
Sat Dec 20 15:46:54 2014  linear algebra at 5.2%, ETA 0h 3m
Sat Dec 20 15:48:26 2014  lanczos halted after 3725 iterations (dim = 235462)
Sat Dec 20 15:48:27 2014  recovered 34 nontrivial dependencies
Sat Dec 20 15:48:27 2014  BLanczosTime: 132
Sat Dec 20 15:48:27 2014  
Sat Dec 20 15:48:27 2014  commencing square root phase
Sat Dec 20 15:48:27 2014  reading relations for dependency 1
Sat Dec 20 15:48:27 2014  read 117666 cycles
Sat Dec 20 15:48:27 2014  cycles contain 431404 unique relations
Sat Dec 20 15:48:31 2014  read 431404 relations
Sat Dec 20 15:48:32 2014  multiplying 431404 relations
Sat Dec 20 15:48:39 2014  multiply complete, coefficients have about 17.72 million bits
Sat Dec 20 15:48:39 2014  initial square root is modulo 123433
Sat Dec 20 15:48:49 2014  sqrtTime: 22
--
n: 1275005828441588391220845559205468474533238304988440890820476725508255153905737351252488131346389939
skew: 1903768.34
c0: -2558992239407967765179063585
c1: 346520124797541656768
c2: -8986619323147723
c3: -1741763396
c4: 2040
Y0: -889141951850465353578894
Y1: 5765490465479
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

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

94×10194-13

c140

name 名前Jo Yeong Uk
date 日付August 7, 2017 22:01:13 UTC 2017 年 8 月 8 日 (火) 7 時 1 分 13 秒 (日本時間)
composite number 合成数
92730995064045198338687925751620211180380208916255631021277484861322206158701508198875931643943327532885966774772574988114451773146604930373<140>
prime factors 素因数
4299761521383026262895870125711924898578480617015285306390458907266157<70>
21566543772924899774636664623334240507663893355247186985092977236223289<71>
factorization results 素因数分解の結果
Number: 31333_194
N=92730995064045198338687925751620211180380208916255631021277484861322206158701508198875931643943327532885966774772574988114451773146604930373
  ( 140 digits)
SNFS difficulty: 196 digits.
Divisors found:
 r1=4299761521383026262895870125711924898578480617015285306390458907266157
 r2=21566543772924899774636664623334240507663893355247186985092977236223289
Version: 
Total time: 176.86 hours.
Scaled time: 929.92 units (timescale=5.258).
Factorization parameters were as follows:
n: 92730995064045198338687925751620211180380208916255631021277484861322206158701508198875931643943327532885966774772574988114451773146604930373
m: 1000000000000000000000000000000000000000
deg: 5
c5: 47
c0: -5
skew: 0.64
# Murphy_E = 2.055e-11
type: snfs
lss: 1
rlim: 12000000
alim: 12000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12000000/12000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6000000, 13400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 23708768
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2347215 x 2347463
Total sieving time: 162.47 hours.
Total relation processing time: 4.76 hours.
Matrix solve time: 8.93 hours.
Time per square root: 0.70 hours.
Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,12000000,12000000,28,28,55,55,2.5,2.5,100000
total time: 176.86 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)
403e62392300Serge BatalovDecember 20, 2014 21:19:35 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 35 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:21 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 21 秒 (日本時間)
1792Youcef LemsaferJanuary 29, 2015 08:10:33 UTC 2015 年 1 月 29 日 (木) 17 時 10 分 33 秒 (日本時間)
4511e6768 / 3946Youcef LemsaferFebruary 1, 2015 08:44:01 UTC 2015 年 2 月 1 日 (日) 17 時 44 分 1 秒 (日本時間)

94×10195-13

c172

name 名前Jo Yeong Uk
date 日付February 26, 2017 03:20:39 UTC 2017 年 2 月 26 日 (日) 12 時 20 分 39 秒 (日本時間)
composite number 合成数
1635825219136926082049118326343758207436825853670707833256330335146745583726346306017356414065488522562471374730910591064429547084976950349902665899496227146712409223532577<172>
prime factors 素因数
11445104462336518902432950729362862463929<41>
4657385092517304553664872490432873005067586361822320176746181<61>
30688452531466898222402204284103408725693948451241516344544343629588373<71>
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 1635825219136926082049118326343758207436825853670707833256330335146745583726346306017356414065488522562471374730910591064429547084976950349902665899496227146712409223532577 (172 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3724904845
Step 1 took 29313ms
Step 2 took 10030ms
********** Factor found in step 2: 11445104462336518902432950729362862463929
Found probable prime factor of 41 digits: 11445104462336518902432950729362862463929
Composite cofactor 142927941332478868911953436742085417900707693220029855349505454360313243812142303129972002675007957610876702259756685566783529753513 has 132 digits

Number: 32333_192
N=142927941332478868911953436742085417900707693220029855349505454360313243812142303129972002675007957610876702259756685566783529753513
  ( 132 digits)
Divisors found:
 r1=4657385092517304553664872490432873005067586361822320176746181
 r2=30688452531466898222402204284103408725693948451241516344544343629588373
Version: 
Total time: 91.51 hours.
Scaled time: 481.06 units (timescale=5.257).
Factorization parameters were as follows:
name: 32333_192
n: 142927941332478868911953436742085417900707693220029855349505454360313243812142303129972002675007957610876702259756685566783529753513
skew: 171885.00
# norm 4.41e+18
c5: 396600
c4: -10778366765
c3: -94513577387511462
c2: -753426640229976428690
c1: 530028509831263610382778758
c0: 13677477083188921052338741852135
# alpha -6.53
Y1: 705567864109427
Y0: -12922692630621416464972098
# Murphy_E 6.11e-11
# M 89953958728036191136495607993284196259202458050176250613492782345968551094186274505077787096777606062050965478180182959349792053318
type: gnfs
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved algebraic special-q in [4500000, 7600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20024862
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1491870 x 1492118
Polynomial selection time: 14.38 hours.
Total sieving time: 72.40 hours.
Total relation processing time: 1.62 hours.
Matrix solve time: 2.72 hours.
Time per square root: 0.40 hours.
Prototype def-par.txt line would be:
gnfs,131,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,9000000,9000000,28,28,55,55,2.6,2.6,100000
total time: 91.51 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GMP-ECM v6.4.4 / 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)
403e62392300Serge BatalovDecember 20, 2014 21:19:35 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 35 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:21 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 21 秒 (日本時間)
1792Youcef LemsaferJanuary 29, 2015 10:09:43 UTC 2015 年 1 月 29 日 (木) 19 時 9 分 43 秒 (日本時間)
4511e6768 / 3946Youcef LemsaferFebruary 1, 2015 08:44:58 UTC 2015 年 2 月 1 日 (日) 17 時 44 分 58 秒 (日本時間)

94×10196-13

c157

name 名前Serge Batalov
date 日付December 21, 2014 01:51:28 UTC 2014 年 12 月 21 日 (日) 10 時 51 分 28 秒 (日本時間)
composite number 合成数
1309279818225193973308237552850251545209362943071853715295617050237669648404227815529287516297796195432863894024674509567227767349511773725687296167670342103<157>
prime factors 素因数
557909086935667918530531226572458262793<39>
composite cofactor 合成数の残り
2346761952590612768477360306412627340598892742207589772862336638233997173811029612864683889424344393092220680957256671<118>
factorization results 素因数分解の結果
Input number is 1309279818225193973308237552850251545209362943071853715295617050237669648404227815529287516297796195432863894024674509567227767349511773725687296167670342103 (157 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2562959073
Step 1 took 11083ms
Step 2 took 1659ms
********** Factor found in step 2: 557909086935667918530531226572458262793
Found probable prime factor of 39 digits: 557909086935667918530531226572458262793
Composite cofactor 2346761952590612768477360306412627340598892742207589772862336638233997173811029612864683889424344393092220680957256671 has 118 digits

c118

name 名前Cyp
date 日付December 25, 2014 14:28:36 UTC 2014 年 12 月 25 日 (木) 23 時 28 分 36 秒 (日本時間)
composite number 合成数
2346761952590612768477360306412627340598892742207589772862336638233997173811029612864683889424344393092220680957256671<118>
prime factors 素因数
256007208112279071092195037765603237527123375903<48>
9166780771115534913340067805015617809077924994887427584679488272923457<70>
factorization results 素因数分解の結果
12/25/14 07:40:23 v1.34.3, 
12/25/14 07:40:23 v1.34.3, ****************************
12/25/14 07:40:23 v1.34.3, Starting factorization of 2346761952590612768477360306412627340598892742207589772862336638233997173811029612864683889424344393092220680957256671
12/25/14 07:40:23 v1.34.3, using pretesting plan: none
12/25/14 07:40:23 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/25/14 07:40:23 v1.34.3, ****************************
12/25/14 07:40:23 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C118
12/25/14 07:40:23 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C118
12/25/14 07:40:23 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C118
12/25/14 07:40:23 v1.34.3, final ECM pretested depth: 0.00
12/25/14 07:40:23 v1.34.3, scheduler: switching to sieve method
12/25/14 07:40:23 v1.34.3, nfs: commencing nfs on c118: 2346761952590612768477360306412627340598892742207589772862336638233997173811029612864683889424344393092220680957256671
12/25/14 07:40:23 v1.34.3, nfs: commencing poly selection with 8 threads
12/25/14 07:40:23 v1.34.3, nfs: setting deadline of 1293 seconds
12/25/14 08:02:12 v1.34.3, nfs: completed 127 ranges of size 250 in 1308.9866 seconds
12/25/14 08:02:12 v1.34.3, nfs: best poly = # norm 3.157118e-11 alpha -6.475373 e 3.741e-10 rroots 3
12/25/14 08:02:12 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/25/14 08:13:16 v1.34.3, nfs: commencing lattice sieving with 8 threads
[31 lines snipped]
12/25/14 14:15:35 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/25/14 14:28:45 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/25/14 14:41:42 v1.34.3, nfs: commencing msieve filtering
12/25/14 14:46:24 v1.34.3, nfs: commencing msieve linear algebra
12/25/14 15:21:09 v1.34.3, nfs: commencing msieve sqrt
12/25/14 15:28:35 v1.34.3, prp48 = 256007208112279071092195037765603237527123375903
12/25/14 15:28:35 v1.34.3, prp70 = 9166780771115534913340067805015617809077924994887427584679488272923457
12/25/14 15:28:35 v1.34.3, NFS elapsed time = 28091.9509 seconds.
12/25/14 15:28:35 v1.34.3, 
12/25/14 15:28:35 v1.34.3, 
12/25/14 15:28:35 v1.34.3, Total factoring time = 28091.9908 seconds
--
Thu Dec 25 14:41:42 2014  
Thu Dec 25 14:41:42 2014  commencing relation filtering
Thu Dec 25 14:41:42 2014  estimated available RAM is 15987.3 MB
Thu Dec 25 14:41:42 2014  commencing duplicate removal, pass 1
Thu Dec 25 14:42:51 2014  found 1120967 hash collisions in 10331866 relations
Thu Dec 25 14:43:13 2014  added 62172 free relations
Thu Dec 25 14:43:13 2014  commencing duplicate removal, pass 2
Thu Dec 25 14:43:30 2014  found 549172 duplicates and 9844866 unique relations
Thu Dec 25 14:43:30 2014  memory use: 41.3 MB
Thu Dec 25 14:43:30 2014  reading ideals above 100000
Thu Dec 25 14:43:30 2014  commencing singleton removal, initial pass
Thu Dec 25 14:45:12 2014  memory use: 344.5 MB
Thu Dec 25 14:45:12 2014  reading all ideals from disk
Thu Dec 25 14:45:12 2014  memory use: 346.7 MB
Thu Dec 25 14:45:14 2014  keeping 10830780 ideals with weight <= 200, target excess is 50672
Thu Dec 25 14:45:15 2014  commencing in-memory singleton removal
Thu Dec 25 14:45:16 2014  begin with 9844866 relations and 10830780 unique ideals
Thu Dec 25 14:45:29 2014  reduce to 3543321 relations and 3371564 ideals in 20 passes
Thu Dec 25 14:45:29 2014  max relations containing the same ideal: 102
Thu Dec 25 14:45:32 2014  removing 533993 relations and 477504 ideals in 56489 cliques
Thu Dec 25 14:45:32 2014  commencing in-memory singleton removal
Thu Dec 25 14:45:32 2014  begin with 3009328 relations and 3371564 unique ideals
Thu Dec 25 14:45:37 2014  reduce to 2939617 relations and 2822769 ideals in 10 passes
Thu Dec 25 14:45:37 2014  max relations containing the same ideal: 90
Thu Dec 25 14:45:39 2014  removing 396927 relations and 340438 ideals in 56489 cliques
Thu Dec 25 14:45:39 2014  commencing in-memory singleton removal
Thu Dec 25 14:45:39 2014  begin with 2542690 relations and 2822769 unique ideals
Thu Dec 25 14:45:43 2014  reduce to 2495605 relations and 2434270 ideals in 10 passes
Thu Dec 25 14:45:43 2014  max relations containing the same ideal: 81
Thu Dec 25 14:45:45 2014  relations with 0 large ideals: 148
Thu Dec 25 14:45:45 2014  relations with 1 large ideals: 463
Thu Dec 25 14:45:45 2014  relations with 2 large ideals: 7459
Thu Dec 25 14:45:45 2014  relations with 3 large ideals: 59556
Thu Dec 25 14:45:45 2014  relations with 4 large ideals: 244265
Thu Dec 25 14:45:45 2014  relations with 5 large ideals: 563255
Thu Dec 25 14:45:45 2014  relations with 6 large ideals: 746751
Thu Dec 25 14:45:45 2014  relations with 7+ large ideals: 873708
Thu Dec 25 14:45:45 2014  commencing 2-way merge
Thu Dec 25 14:45:48 2014  reduce to 1393360 relation sets and 1332027 unique ideals
Thu Dec 25 14:45:48 2014  ignored 2 oversize relation sets
Thu Dec 25 14:45:48 2014  commencing full merge
Thu Dec 25 14:46:12 2014  memory use: 149.7 MB
Thu Dec 25 14:46:12 2014  found 690890 cycles, need 682227
Thu Dec 25 14:46:13 2014  weight of 682227 cycles is about 47961930 (70.30/cycle)
Thu Dec 25 14:46:13 2014  distribution of cycle lengths:
Thu Dec 25 14:46:13 2014  1 relations: 83605
Thu Dec 25 14:46:13 2014  2 relations: 79785
Thu Dec 25 14:46:13 2014  3 relations: 78077
Thu Dec 25 14:46:13 2014  4 relations: 68579
Thu Dec 25 14:46:13 2014  5 relations: 61905
Thu Dec 25 14:46:13 2014  6 relations: 52213
Thu Dec 25 14:46:13 2014  7 relations: 45701
Thu Dec 25 14:46:13 2014  8 relations: 39470
Thu Dec 25 14:46:13 2014  9 relations: 33527
Thu Dec 25 14:46:13 2014  10+ relations: 139365
Thu Dec 25 14:46:13 2014  heaviest cycle: 22 relations
Thu Dec 25 14:46:13 2014  commencing cycle optimization
Thu Dec 25 14:46:15 2014  start with 4125746 relations
Thu Dec 25 14:46:23 2014  pruned 77988 relations
Thu Dec 25 14:46:23 2014  memory use: 141.3 MB
Thu Dec 25 14:46:23 2014  distribution of cycle lengths:
Thu Dec 25 14:46:23 2014  1 relations: 83605
Thu Dec 25 14:46:23 2014  2 relations: 81399
Thu Dec 25 14:46:23 2014  3 relations: 80268
Thu Dec 25 14:46:23 2014  4 relations: 69845
Thu Dec 25 14:46:23 2014  5 relations: 62717
Thu Dec 25 14:46:23 2014  6 relations: 52832
Thu Dec 25 14:46:23 2014  7 relations: 45804
Thu Dec 25 14:46:23 2014  8 relations: 39372
Thu Dec 25 14:46:23 2014  9 relations: 33344
Thu Dec 25 14:46:23 2014  10+ relations: 133041
Thu Dec 25 14:46:23 2014  heaviest cycle: 22 relations
Thu Dec 25 14:46:24 2014  RelProcTime: 282
Thu Dec 25 14:46:24 2014  
Thu Dec 25 14:46:24 2014  commencing linear algebra
Thu Dec 25 14:46:25 2014  read 682227 cycles
Thu Dec 25 14:46:26 2014  cycles contain 2404435 unique relations
Thu Dec 25 14:46:52 2014  read 2404435 relations
Thu Dec 25 14:46:56 2014  using 20 quadratic characters above 134215484
Thu Dec 25 14:47:09 2014  building initial matrix
Thu Dec 25 14:47:38 2014  memory use: 302.4 MB
Thu Dec 25 14:47:39 2014  read 682227 cycles
Thu Dec 25 14:47:39 2014  matrix is 682050 x 682227 (205.0 MB) with weight 64090644 (93.94/col)
Thu Dec 25 14:47:39 2014  sparse part has weight 46223086 (67.75/col)
Thu Dec 25 14:47:46 2014  filtering completed in 2 passes
Thu Dec 25 14:47:46 2014  matrix is 680331 x 680507 (204.8 MB) with weight 64019980 (94.08/col)
Thu Dec 25 14:47:46 2014  sparse part has weight 46200182 (67.89/col)
Thu Dec 25 14:47:49 2014  matrix starts at (0, 0)
Thu Dec 25 14:47:49 2014  matrix is 680331 x 680507 (204.8 MB) with weight 64019980 (94.08/col)
Thu Dec 25 14:47:49 2014  sparse part has weight 46200182 (67.89/col)
Thu Dec 25 14:47:49 2014  saving the first 48 matrix rows for later
Thu Dec 25 14:47:49 2014  matrix includes 64 packed rows
Thu Dec 25 14:47:50 2014  matrix is 680283 x 680507 (197.1 MB) with weight 50912794 (74.82/col)
Thu Dec 25 14:47:50 2014  sparse part has weight 44865445 (65.93/col)
Thu Dec 25 14:47:50 2014  using block size 65536 for processor cache size 8192 kB
Thu Dec 25 14:47:53 2014  commencing Lanczos iteration (8 threads)
Thu Dec 25 14:47:53 2014  memory use: 188.8 MB
Thu Dec 25 14:48:03 2014  linear algebra at 0.4%, ETA 0h37m
Thu Dec 25 15:21:08 2014  lanczos halted after 10761 iterations (dim = 680280)
Thu Dec 25 15:21:09 2014  recovered 28 nontrivial dependencies
Thu Dec 25 15:21:09 2014  BLanczosTime: 2085
Thu Dec 25 15:21:09 2014  
Thu Dec 25 15:21:09 2014  commencing square root phase
Thu Dec 25 15:21:09 2014  reading relations for dependency 1
Thu Dec 25 15:21:09 2014  read 340195 cycles
Thu Dec 25 15:21:10 2014  cycles contain 1202326 unique relations
Thu Dec 25 15:21:29 2014  read 1202326 relations
Thu Dec 25 15:21:36 2014  multiplying 1202326 relations
Thu Dec 25 15:22:59 2014  multiply complete, coefficients have about 51.24 million bits
Thu Dec 25 15:23:00 2014  initial square root is modulo 22694611
Thu Dec 25 15:24:50 2014  GCD is N, no factor found
Thu Dec 25 15:24:50 2014  reading relations for dependency 2
Thu Dec 25 15:24:50 2014  read 340088 cycles
Thu Dec 25 15:24:50 2014  cycles contain 1201190 unique relations
Thu Dec 25 15:25:09 2014  read 1201190 relations
Thu Dec 25 15:25:17 2014  multiplying 1201190 relations
Thu Dec 25 15:26:41 2014  multiply complete, coefficients have about 51.19 million bits
Thu Dec 25 15:26:42 2014  initial square root is modulo 22342921
Thu Dec 25 15:28:35 2014  sqrtTime: 446
--
n: 2346761952590612768477360306412627340598892742207589772862336638233997173811029612864683889424344393092220680957256671
skew: 106859.66
c0: -28881769662863830247346903395
c1: -1253808224262857973781599
c2: 19621541028910525123
c3: 433829303147475
c4: -1562880944
c5: 2940
Y0: -60314895732778228354848
Y1: 313203276091
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:19:36 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 36 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:22 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 22 秒 (日本時間)

94×10198-13

c164

name 名前Jo Yeong Uk
date 日付April 1, 2018 00:31:23 UTC 2018 年 4 月 1 日 (日) 9 時 31 分 23 秒 (日本時間)
composite number 合成数
85247637193216939488370785201682496629319070467661834770126726961127236289030416650771448514086187396900434353120684668735295017357818660326808799250848952697603683<164>
prime factors 素因数
575609086856257823005004130753102996472495244016483658912724214620409089<72>
148099880873675538026821417885109311335560319825169851764491787141150802655574064783206088547<93>
factorization results 素因数分解の結果
Number: 31333_198
N=85247637193216939488370785201682496629319070467661834770126726961127236289030416650771448514086187396900434353120684668735295017357818660326808799250848952697603683
  ( 164 digits)
SNFS difficulty: 200 digits.
Divisors found:
 r1=575609086856257823005004130753102996472495244016483658912724214620409089
 r2=148099880873675538026821417885109311335560319825169851764491787141150802655574064783206088547
Version: 
Total time: 243.59 hours.
Scaled time: 1262.04 units (timescale=5.181).
Factorization parameters were as follows:
n: 85247637193216939488370785201682496629319070467661834770126726961127236289030416650771448514086187396900434353120684668735295017357818660326808799250848952697603683
m: 2000000000000000000000000000000000000000
deg: 5
c5: 5875
c0: -2
skew: 0.20
# Murphy_E = 1.241e-11
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
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, 17200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 38807932
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3215353 x 3215599
Total sieving time: 219.38 hours.
Total relation processing time: 4.49 hours.
Matrix solve time: 19.39 hours.
Time per square root: 0.32 hours.
Prototype def-par.txt line would be:
snfs,200,5,0,0,0,0,0,0,0,0,16000000,16000000,29,29,56,56,2.5,2.5,100000
total time: 243.59 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49367704k/51380224k available (5488k kernel code, 1086464k absent, 926056k reserved, 6940k data, 1328k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.37 BogoMIPS (lpj=3400188)
Total of 12 processors activated (81604.51 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e62392300Serge BatalovDecember 20, 2014 21:19:36 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 36 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:22 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 22 秒 (日本時間)
1792Youcef LemsaferJanuary 29, 2015 21:20:12 UTC 2015 年 1 月 30 日 (金) 6 時 20 分 12 秒 (日本時間)
4511e6768 / 3946Youcef LemsaferFebruary 1, 2015 08:45:47 UTC 2015 年 2 月 1 日 (日) 17 時 45 分 47 秒 (日本時間)

94×10199-13

c186

name 名前Jo Yeong Uk
date 日付September 25, 2017 10:35:41 UTC 2017 年 9 月 25 日 (月) 19 時 35 分 41 秒 (日本時間)
composite number 合成数
182991616396940577545985688019612246977508481018609223088760432674167814498203930928938905748834770724053564861166199514724257095166895451504020747612031652078425834593073913576795967339<186>
prime factors 素因数
75008541563605865616793478386735634677746138439249<50>
2439610377463039295594579684908594383646756834208309966874305803056380876129109886647569540705975011432100352506559079656111509089564411<136>
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 182991616396940577545985688019612246977508481018609223088760432674167814498203930928938905748834770724053564861166199514724257095166895451504020747612031652078425834593073913576795967339 (186 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3806362094
Step 1 took 34654ms
Step 2 took 11217ms
********** Factor found in step 2: 75008541563605865616793478386735634677746138439249
Found probable prime factor of 50 digits: 75008541563605865616793478386735634677746138439249
Probable prime cofactor 2439610377463039295594579684908594383646756834208309966874305803056380876129109886647569540705975011432100352506559079656111509089564411 has 136 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)
403e62392300Serge BatalovDecember 20, 2014 21:19:37 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 37 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:22 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 22 秒 (日本時間)
1792Youcef LemsaferJanuary 29, 2015 21:20:55 UTC 2015 年 1 月 30 日 (金) 6 時 20 分 55 秒 (日本時間)
4511e6768 / 3946Youcef LemsaferFebruary 1, 2015 08:46:43 UTC 2015 年 2 月 1 日 (日) 17 時 46 分 43 秒 (日本時間)

94×10200-13

c151

name 名前Serge Batalov
date 日付December 21, 2014 01:51:32 UTC 2014 年 12 月 21 日 (日) 10 時 51 分 32 秒 (日本時間)
composite number 合成数
9542262534334541846487003529317073132087317091803437557176328173406228734030121369790631229678405108843995545369177890044058285379970912893390514636971<151>
prime factors 素因数
5093865262509264669823455848409679<34>
composite cofactor 合成数の残り
1873285224987276835611499099004397886108095098046571191861561837791000101825053273406046748067497959563724466271621349<118>
factorization results 素因数分解の結果
Input number is 9542262534334541846487003529317073132087317091803437557176328173406228734030121369790631229678405108843995545369177890044058285379970912893390514636971 (151 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1145682523
Step 1 took 9232ms
Step 2 took 7372ms
********** Factor found in step 2: 5093865262509264669823455848409679
Found probable prime factor of 34 digits: 5093865262509264669823455848409679
Composite cofactor 1873285224987276835611499099004397886108095098046571191861561837791000101825053273406046748067497959563724466271621349 has 118 digits

c118

name 名前Cyp
date 日付December 25, 2014 00:18:42 UTC 2014 年 12 月 25 日 (木) 9 時 18 分 42 秒 (日本時間)
composite number 合成数
1873285224987276835611499099004397886108095098046571191861561837791000101825053273406046748067497959563724466271621349<118>
prime factors 素因数
162449314968814010163067852083534939152317669354509629<54>
11531505844434605708744049668356876636775635528723835937658516681<65>
factorization results 素因数分解の結果
12/24/14 10:59:51 v1.34.3, 
12/24/14 10:59:51 v1.34.3, ****************************
12/24/14 10:59:51 v1.34.3, Starting factorization of 1873285224987276835611499099004397886108095098046571191861561837791000101825053273406046748067497959563724466271621349
12/24/14 10:59:51 v1.34.3, using pretesting plan: none
12/24/14 10:59:51 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/24/14 10:59:51 v1.34.3, ****************************
12/24/14 10:59:51 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C118
12/24/14 10:59:51 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C118
12/24/14 10:59:51 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C118
12/24/14 10:59:51 v1.34.3, final ECM pretested depth: 0.00
12/24/14 10:59:51 v1.34.3, scheduler: switching to sieve method
12/24/14 10:59:51 v1.34.3, nfs: commencing nfs on c118: 1873285224987276835611499099004397886108095098046571191861561837791000101825053273406046748067497959563724466271621349
12/24/14 10:59:51 v1.34.3, nfs: commencing poly selection with 8 threads
12/24/14 10:59:51 v1.34.3, nfs: setting deadline of 1293 seconds
12/24/14 11:21:42 v1.34.3, nfs: completed 87 ranges of size 250 in 1311.6171 seconds
12/24/14 11:21:42 v1.34.3, nfs: best poly = # norm 3.230863e-11 alpha -5.877732 e 3.810e-10 rroots 3
12/24/14 11:21:42 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/24/14 11:31:46 v1.34.3, nfs: commencing lattice sieving with 8 threads
[30 lines snipped]
12/25/14 00:25:12 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/25/14 00:33:08 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/25/14 00:44:01 v1.34.3, nfs: commencing msieve filtering
12/25/14 00:47:35 v1.34.3, nfs: commencing msieve linear algebra
12/25/14 01:15:25 v1.34.3, nfs: commencing msieve sqrt
12/25/14 01:18:41 v1.34.3, prp65 = 11531505844434605708744049668356876636775635528723835937658516681
12/25/14 01:18:41 v1.34.3, prp54 = 162449314968814010163067852083534939152317669354509629
12/25/14 01:18:41 v1.34.3, NFS elapsed time = 51530.2019 seconds.
12/25/14 01:18:41 v1.34.3, 
12/25/14 01:18:41 v1.34.3, 
12/25/14 01:18:41 v1.34.3, Total factoring time = 51530.2337 seconds
--
Thu Dec 25 00:44:01 2014  
Thu Dec 25 00:44:01 2014  commencing relation filtering
Thu Dec 25 00:44:01 2014  estimated available RAM is 15987.3 MB
Thu Dec 25 00:44:01 2014  commencing duplicate removal, pass 1
Thu Dec 25 00:45:04 2014  found 1106019 hash collisions in 10306862 relations
Thu Dec 25 00:45:19 2014  added 62819 free relations
Thu Dec 25 00:45:19 2014  commencing duplicate removal, pass 2
Thu Dec 25 00:45:28 2014  found 533242 duplicates and 9836439 unique relations
Thu Dec 25 00:45:28 2014  memory use: 41.3 MB
Thu Dec 25 00:45:28 2014  reading ideals above 100000
Thu Dec 25 00:45:28 2014  commencing singleton removal, initial pass
Thu Dec 25 00:46:43 2014  memory use: 344.5 MB
Thu Dec 25 00:46:43 2014  reading all ideals from disk
Thu Dec 25 00:46:43 2014  memory use: 346.2 MB
Thu Dec 25 00:46:44 2014  keeping 10826823 ideals with weight <= 200, target excess is 50716
Thu Dec 25 00:46:45 2014  commencing in-memory singleton removal
Thu Dec 25 00:46:46 2014  begin with 9836439 relations and 10826823 unique ideals
Thu Dec 25 00:46:55 2014  reduce to 3536135 relations and 3364685 ideals in 22 passes
Thu Dec 25 00:46:55 2014  max relations containing the same ideal: 103
Thu Dec 25 00:46:57 2014  removing 533689 relations and 477380 ideals in 56310 cliques
Thu Dec 25 00:46:57 2014  commencing in-memory singleton removal
Thu Dec 25 00:46:57 2014  begin with 3002446 relations and 3364685 unique ideals
Thu Dec 25 00:47:00 2014  reduce to 2932811 relations and 2816089 ideals in 9 passes
Thu Dec 25 00:47:00 2014  max relations containing the same ideal: 95
Thu Dec 25 00:47:01 2014  removing 397738 relations and 341428 ideals in 56310 cliques
Thu Dec 25 00:47:01 2014  commencing in-memory singleton removal
Thu Dec 25 00:47:01 2014  begin with 2535073 relations and 2816089 unique ideals
Thu Dec 25 00:47:03 2014  reduce to 2487848 relations and 2426407 ideals in 9 passes
Thu Dec 25 00:47:03 2014  max relations containing the same ideal: 80
Thu Dec 25 00:47:05 2014  relations with 0 large ideals: 165
Thu Dec 25 00:47:05 2014  relations with 1 large ideals: 501
Thu Dec 25 00:47:05 2014  relations with 2 large ideals: 7494
Thu Dec 25 00:47:05 2014  relations with 3 large ideals: 59203
Thu Dec 25 00:47:05 2014  relations with 4 large ideals: 242433
Thu Dec 25 00:47:05 2014  relations with 5 large ideals: 560666
Thu Dec 25 00:47:05 2014  relations with 6 large ideals: 744907
Thu Dec 25 00:47:05 2014  relations with 7+ large ideals: 872479
Thu Dec 25 00:47:05 2014  commencing 2-way merge
Thu Dec 25 00:47:07 2014  reduce to 1388165 relation sets and 1326726 unique ideals
Thu Dec 25 00:47:07 2014  ignored 2 oversize relation sets
Thu Dec 25 00:47:07 2014  commencing full merge
Thu Dec 25 00:47:27 2014  memory use: 148.9 MB
Thu Dec 25 00:47:27 2014  found 683544 cycles, need 674926
Thu Dec 25 00:47:27 2014  weight of 674926 cycles is about 47590662 (70.51/cycle)
Thu Dec 25 00:47:27 2014  distribution of cycle lengths:
Thu Dec 25 00:47:27 2014  1 relations: 80992
Thu Dec 25 00:47:27 2014  2 relations: 77312
Thu Dec 25 00:47:27 2014  3 relations: 75880
Thu Dec 25 00:47:27 2014  4 relations: 67345
Thu Dec 25 00:47:27 2014  5 relations: 61426
Thu Dec 25 00:47:27 2014  6 relations: 51050
Thu Dec 25 00:47:27 2014  7 relations: 45633
Thu Dec 25 00:47:27 2014  8 relations: 39331
Thu Dec 25 00:47:27 2014  9 relations: 33447
Thu Dec 25 00:47:27 2014  10+ relations: 142510
Thu Dec 25 00:47:27 2014  heaviest cycle: 23 relations
Thu Dec 25 00:47:27 2014  commencing cycle optimization
Thu Dec 25 00:47:28 2014  start with 4149791 relations
Thu Dec 25 00:47:34 2014  pruned 80641 relations
Thu Dec 25 00:47:34 2014  memory use: 141.2 MB
Thu Dec 25 00:47:34 2014  distribution of cycle lengths:
Thu Dec 25 00:47:34 2014  1 relations: 80992
Thu Dec 25 00:47:34 2014  2 relations: 78858
Thu Dec 25 00:47:34 2014  3 relations: 78230
Thu Dec 25 00:47:34 2014  4 relations: 68489
Thu Dec 25 00:47:34 2014  5 relations: 62408
Thu Dec 25 00:47:34 2014  6 relations: 51557
Thu Dec 25 00:47:34 2014  7 relations: 45850
Thu Dec 25 00:47:34 2014  8 relations: 39221
Thu Dec 25 00:47:34 2014  9 relations: 33242
Thu Dec 25 00:47:34 2014  10+ relations: 136079
Thu Dec 25 00:47:34 2014  heaviest cycle: 23 relations
Thu Dec 25 00:47:35 2014  RelProcTime: 214
Thu Dec 25 00:47:35 2014  
Thu Dec 25 00:47:35 2014  commencing linear algebra
Thu Dec 25 00:47:35 2014  read 674926 cycles
Thu Dec 25 00:47:37 2014  cycles contain 2396646 unique relations
Thu Dec 25 00:47:59 2014  read 2396646 relations
Thu Dec 25 00:48:01 2014  using 20 quadratic characters above 134216630
Thu Dec 25 00:48:13 2014  building initial matrix
Thu Dec 25 00:48:41 2014  memory use: 302.4 MB
Thu Dec 25 00:48:41 2014  read 674926 cycles
Thu Dec 25 00:48:41 2014  matrix is 674748 x 674926 (206.0 MB) with weight 64486309 (95.55/col)
Thu Dec 25 00:48:41 2014  sparse part has weight 45910117 (68.02/col)
Thu Dec 25 00:48:47 2014  filtering completed in 2 passes
Thu Dec 25 00:48:47 2014  matrix is 673003 x 673181 (205.9 MB) with weight 64413729 (95.69/col)
Thu Dec 25 00:48:47 2014  sparse part has weight 45887578 (68.17/col)
Thu Dec 25 00:48:49 2014  matrix starts at (0, 0)
Thu Dec 25 00:48:50 2014  matrix is 673003 x 673181 (205.9 MB) with weight 64413729 (95.69/col)
Thu Dec 25 00:48:50 2014  sparse part has weight 45887578 (68.17/col)
Thu Dec 25 00:48:50 2014  saving the first 48 matrix rows for later
Thu Dec 25 00:48:50 2014  matrix includes 64 packed rows
Thu Dec 25 00:48:50 2014  matrix is 672955 x 673181 (197.4 MB) with weight 51416188 (76.38/col)
Thu Dec 25 00:48:50 2014  sparse part has weight 45024959 (66.88/col)
Thu Dec 25 00:48:50 2014  using block size 65536 for processor cache size 8192 kB
Thu Dec 25 00:48:53 2014  commencing Lanczos iteration (8 threads)
Thu Dec 25 00:48:53 2014  memory use: 189.0 MB
Thu Dec 25 00:49:00 2014  linear algebra at 0.5%, ETA 0h25m
Thu Dec 25 01:15:23 2014  lanczos halted after 10644 iterations (dim = 672953)
Thu Dec 25 01:15:25 2014  recovered 31 nontrivial dependencies
Thu Dec 25 01:15:25 2014  BLanczosTime: 1670
Thu Dec 25 01:15:25 2014  
Thu Dec 25 01:15:25 2014  commencing square root phase
Thu Dec 25 01:15:25 2014  reading relations for dependency 1
Thu Dec 25 01:15:25 2014  read 335937 cycles
Thu Dec 25 01:15:25 2014  cycles contain 1197176 unique relations
Thu Dec 25 01:15:42 2014  read 1197176 relations
Thu Dec 25 01:15:48 2014  multiplying 1197176 relations
Thu Dec 25 01:16:55 2014  multiply complete, coefficients have about 53.72 million bits
Thu Dec 25 01:16:56 2014  initial square root is modulo 51647977
Thu Dec 25 01:18:41 2014  sqrtTime: 196
--
n: 1873285224987276835611499099004397886108095098046571191861561837791000101825053273406046748067497959563724466271621349
skew: 54127.27
c0: 1659823935474834391193558055
c1: 94945732597587985848510
c2: 6126131535496810408
c3: -111309177721106
c4: -4755286535
c5: 17100
Y0: -40543558751466900877102
Y1: 515623933271
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:19:37 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 37 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:23 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 23 秒 (日本時間)

94×10201-13

c138

name 名前Erik Branger
date 日付April 23, 2015 13:58:57 UTC 2015 年 4 月 23 日 (木) 22 時 58 分 57 秒 (日本時間)
composite number 合成数
105671432463598759543647862821979134668939332187128247077959648983080114907802585965549983274620934980886662377107975992552068608476918039<138>
prime factors 素因数
30363606938096158605737072323132507291195789033<47>
3480200250221804143811128263773789167804997876194382975483246780095405430798660766024925183<91>
factorization results 素因数分解の結果
Number: 31333_201
N = 105671432463598759543647862821979134668939332187128247077959648983080114907802585965549983274620934980886662377107975992552068608476918039 (138 digits)
Divisors found:
r1=30363606938096158605737072323132507291195789033 (pp47)
r2=3480200250221804143811128263773789167804997876194382975483246780095405430798660766024925183 (pp91)
Version: Msieve v. 1.52 (SVN 958)
Total time: 129.15 hours.
Factorization parameters were as follows:
# Murphy_E = 3.297e-11, selected by Erik Branger
# expecting poly E from 3.11e-011 to > 3.58e-011
n: 105671432463598759543647862821979134668939332187128247077959648983080114907802585965549983274620934980886662377107975992552068608476918039
Y0: -439175072530329163830142942
Y1: 123229039233317
c0: -14387656138505403464955265295036607
c1: 12816484238347297069665968145
c2: 64452662019006519664043
c3: -7275778867212037
c4: -43789711660
c5: 6468
skew: 1291202.97
type: gnfs
# selected mechanically
rlim: 15200000
alim: 15200000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 15200000/15200000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 22778790
Relations: 3802686 relations
Pruned matrix : 2298581 x 2298812
Polynomial selection time: 0.00 hours.
Total sieving time: 126.54 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 2.29 hours.
time per square root: 0.21 hours.
Prototype def-par.txt line would be: gnfs,137,5,65,2000,1e-05,0.28,250,20,50000,3600,15200000,15200000,28,28,55,55,2.6,2.6,100000
total time: 129.15 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:01:55 UTC 2014 年 12 月 20 日 (土) 3 時 1 分 55 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:15 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 15 秒 (日本時間)

94×10202-13

c198

name 名前Serge Batalov
date 日付December 21, 2014 01:51:35 UTC 2014 年 12 月 21 日 (日) 10 時 51 分 35 秒 (日本時間)
composite number 合成数
199540674349831738387741070077198890468939689680287015909547787762594996751095722421090685080449917519649980183912818556603427132309689673918696515404221643837303025227672725273460941717353182111221<198>
prime factors 素因数
7218337142003463377900519548883<31>
composite cofactor 合成数の残り
27643579182344597423697015167431888858343972708652280052789408151036594004660375906460337188808816173954645414923254979980168281685114032319613484868840236612495844887<167>
factorization results 素因数分解の結果
Input number is 199540674349831738387741070077198890468939689680287015909547787762594996751095722421090685080449917519649980183912818556603427132309689673918696515404221643837303025227672725273460941717353182111221 (198 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2922175034
Step 1 took 16321ms
Step 2 took 10251ms
********** Factor found in step 2: 7218337142003463377900519548883
Found probable prime factor of 31 digits: 7218337142003463377900519548883
Composite cofactor 27643579182344597423697015167431888858343972708652280052789408151036594004660375906460337188808816173954645414923254979980168281685114032319613484868840236612495844887 has 167 digits

c167

name 名前Bob Backstrom
date 日付February 13, 2022 04:38:16 UTC 2022 年 2 月 13 日 (日) 13 時 38 分 16 秒 (日本時間)
composite number 合成数
27643579182344597423697015167431888858343972708652280052789408151036594004660375906460337188808816173954645414923254979980168281685114032319613484868840236612495844887<167>
prime factors 素因数
37788235744775283695960334509604992833449858765279842355618237286862299621628519123<83>
731539290933069895544955196490623917935641382903121825709691791208893761168355949869<84>
factorization results 素因数分解の結果
Number: n
N=27643579182344597423697015167431888858343972708652280052789408151036594004660375906460337188808816173954645414923254979980168281685114032319613484868840236612495844887  ( 167 digits)
SNFS difficulty: 203 digits.
Divisors found:

Sun Feb 13 15:32:47 2022  p83 factor: 37788235744775283695960334509604992833449858765279842355618237286862299621628519123
Sun Feb 13 15:32:47 2022  p84 factor: 731539290933069895544955196490623917935641382903121825709691791208893761168355949869
Sun Feb 13 15:32:47 2022  elapsed time 01:52:14 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.343).
Factorization parameters were as follows:
#
# N = 94x10^202-1 = 313(202)
#
n: 27643579182344597423697015167431888858343972708652280052789408151036594004660375906460337188808816173954645414923254979980168281685114032319613484868840236612495844887
m: 10000000000000000000000000000000000000000
deg: 5
c5: 9400
c0: -1
skew: 0.16
# Murphy_E = 9.126e-12
type: snfs
lss: 1
rlim: 17600000
alim: 17600000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17600000/17600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 43200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5356869 hash collisions in 36494876 relations (32215529 unique)
Msieve: matrix is 2190649 x 2190874 (755.5 MB)

Sieving start time : 2022/02/12 22:31:44
Sieving end time  : 2022/02/13 13:39:50

Total sieving time: 15hrs 8min 6secs.

Total relation processing time: 1hrs 35min 37sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 19sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17600000,17600000,28,28,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116821] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.152622] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.24 BogoMIPS (lpj=12798480)
[    0.150214] smpboot: Total of 16 processors activated (102387.84 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)
403e62092300Serge BatalovDecember 20, 2014 21:19:37 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 37 秒 (日本時間)
1792Youcef LemsaferJanuary 29, 2015 21:22:16 UTC 2015 年 1 月 30 日 (金) 6 時 22 分 16 秒 (日本時間)
4511e65248768Youcef LemsaferFebruary 1, 2015 10:34:45 UTC 2015 年 2 月 1 日 (日) 19 時 34 分 45 秒 (日本時間)
4480Ignacio SantosDecember 11, 2021 23:35:44 UTC 2021 年 12 月 12 日 (日) 8 時 35 分 44 秒 (日本時間)

94×10203-13

c185

name 名前Bob Backstrom
date 日付September 11, 2021 14:06:25 UTC 2021 年 9 月 11 日 (土) 23 時 6 分 25 秒 (日本時間)
composite number 合成数
74163320425458827997878691303374237442037632248301048014254133852062348092373227117404774622145010972442238661669459288967394038374979496005162319364643459092311367125952415175483062803<185>
prime factors 素因数
109692371055628431587761204983637211193224999547852961<54>
676102811086545745510941169589840734546541979017835117413175503726433482535914774651376530445425630242397145327613137295098927452723<132>
factorization results 素因数分解の結果
Number: n
N=74163320425458827997878691303374237442037632248301048014254133852062348092373227117404774622145010972442238661669459288967394038374979496005162319364643459092311367125952415175483062803  ( 185 digits)
SNFS difficulty: 205 digits.
Divisors found:

Sat Sep 11 23:50:06 2021  p54 factor: 109692371055628431587761204983637211193224999547852961
Sat Sep 11 23:50:06 2021  p132 factor: 676102811086545745510941169589840734546541979017835117413175503726433482535914774651376530445425630242397145327613137295098927452723
Sat Sep 11 23:50:06 2021  elapsed time 01:43:25 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.346).
Factorization parameters were as follows:
#
# N = 94x10^203-1 = 313(203)
#
n: 74163320425458827997878691303374237442037632248301048014254133852062348092373227117404774622145010972442238661669459288967394038374979496005162319364643459092311367125952415175483062803
m: 10000000000000000000000000000000000
deg: 6
c6: 47
c0: -5
skew: 0.69
# Murphy_E = 1.049e-11
type: snfs
lss: 1
rlim: 18700000
alim: 18700000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18700000/18700000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 43750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10463437 hash collisions in 68869933 relations (61617699 unique)
Msieve: matrix is 2109315 x 2109546 (722.5 MB)

Sieving start time : 2021/09/11 07:39:24
Sieving end time  : 2021/09/11 22:04:07

Total sieving time: 14hrs 24min 43secs.

Total relation processing time: 1hrs 23min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 54sec.

Prototype def-par.txt line would be:
snfs,205,6,0,0,0,0,0,0,0,0,18700000,18700000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118839] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239964K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2736K init, 4964K bss, 487272K reserved, 0K cma-reserved)
[    0.153502] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.11 BogoMIPS (lpj=12798236)
[    0.152049] smpboot: Total of 16 processors activated (102385.88 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)
403e62392300Serge BatalovDecember 20, 2014 21:19:38 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 38 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:23 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 23 秒 (日本時間)
1792Youcef LemsaferJanuary 29, 2015 21:23:07 UTC 2015 年 1 月 30 日 (金) 6 時 23 分 7 秒 (日本時間)
4511e6768 / 3946Youcef LemsaferFebruary 2, 2015 00:15:59 UTC 2015 年 2 月 2 日 (月) 9 時 15 分 59 秒 (日本時間)

94×10204-13

c198

name 名前Bob Backstrom
date 日付May 5, 2021 01:05:26 UTC 2021 年 5 月 5 日 (水) 10 時 5 分 26 秒 (日本時間)
composite number 合成数
331022503969796182647779917110485969243170818222376121862117513136812949631344639223837589738660162961885692090705701910875648934844062288589088380539977219806010318556020394493674475124819166191711<198>
prime factors 素因数
7418861120632713794786519863180623572073351373980236589440320063<64>
3727405976191741689571971893778685289219190587989143254708711480711<67>
11970535558517158224909514856745617107529052181148684696730507831127<68>
factorization results 素因数分解の結果
Number: n
N=331022503969796182647779917110485969243170818222376121862117513136812949631344639223837589738660162961885692090705701910875648934844062288589088380539977219806010318556020394493674475124819166191711
  ( 198 digits)
SNFS difficulty: 206 digits.
Divisors found:

Wed May  5 10:48:27 2021  found factor: 11970535558517158224909514856745617107529052181148684696730507831127
Wed May  5 10:51:46 2021  found factor: 11970535558517158224909514856745617107529052181148684696730507831127
Wed May  5 10:58:24 2021  p64 factor: 7418861120632713794786519863180623572073351373980236589440320063
Wed May  5 10:58:24 2021  p67 factor: 3727405976191741689571971893778685289219190587989143254708711480711
Wed May  5 10:58:24 2021  p68 factor: 11970535558517158224909514856745617107529052181148684696730507831127
Wed May  5 10:58:24 2021  elapsed time 02:35:35 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 94x10^204-1 = 313(204)
#
n: 331022503969796182647779917110485969243170818222376121862117513136812949631344639223837589738660162961885692090705701910875648934844062288589088380539977219806010318556020394493674475124819166191711
m: 100000000000000000000000000000000000000000
deg: 5
c5: 47
c0: -5
skew: 0.64
# Murphy_E = 7.813e-12
type: snfs
lss: 1
rlim: 19500000
alim: 19500000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19500000/19500000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 36950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7316460 hash collisions in 52702157 relations (47311767 unique)
Msieve: matrix is 2509315 x 2509540 (876.0 MB)

Sieving start time : 2021/05/04 20:06:53
Sieving end time  : 2021/05/05 08:21:08

Total sieving time: 12hrs 14min 15secs.

Total relation processing time: 2hrs 5min 22sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 13min 19sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19500000,19500000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118393] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241108K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486128K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.30 BogoMIPS (lpj=12798612)
[    0.152049] smpboot: Total of 16 processors activated (102388.89 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e62392300Serge BatalovDecember 20, 2014 21:19:38 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 38 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:24 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 24 秒 (日本時間)
1792Youcef LemsaferJanuary 29, 2015 21:23:43 UTC 2015 年 1 月 30 日 (金) 6 時 23 分 43 秒 (日本時間)
4511e6768 / 3946Youcef LemsaferFebruary 2, 2015 00:16:26 UTC 2015 年 2 月 2 日 (月) 9 時 16 分 26 秒 (日本時間)

94×10205-13

c191

name 名前Serge Batalov
date 日付December 21, 2014 01:51:38 UTC 2014 年 12 月 21 日 (日) 10 時 51 分 38 秒 (日本時間)
composite number 合成数
30171509396037559856687222345263838238299134738196561267334553322068331460399850730687288602877830850659550516614214634578923839512911260909017522154268814369378168755997257254810285620993147<191>
prime factors 素因数
10615262987445826997349863686551637208669<41>
2842276204717677466119189020196511916512273695215599204216058884022173105636321971499191364929403328458159654006767717574132951118817350193608170363063<151>
factorization results 素因数分解の結果
Input number is 30171509396037559856687222345263838238299134738196561267334553322068331460399850730687288602877830850659550516614214634578923839512911260909017522154268814369378168755997257254810285620993147 (191 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4047437375
Step 1 took 13657ms
Step 2 took 9615ms
********** Factor found in step 2: 10615262987445826997349863686551637208669
Found probable prime factor of 41 digits: 10615262987445826997349863686551637208669
Probable prime cofactor 2842276204717677466119189020196511916512273695215599204216058884022173105636321971499191364929403328458159654006767717574132951118817350193608170363063 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)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:19:39 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 39 秒 (日本時間)

94×10206-13

c127

name 名前Serge Batalov
date 日付December 19, 2014 17:56:27 UTC 2014 年 12 月 20 日 (土) 2 時 56 分 27 秒 (日本時間)
composite number 合成数
7028431157391185172446871010714443292249548405748113381070470335942884191172379114795433357524516337070627268014413959491195247<127>
prime factors 素因数
9063100770881185860695312271947<31>
775499614874945926133005866735906531799106418447190823944870331610134873496177462476736297393901<96>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=1783231941
Step 1 took 2517ms
Step 2 took 1958ms
********** Factor found in step 2: 9063100770881185860695312271947
Found probable prime factor of 31 digits: 9063100770881185860695312271947
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)

94×10207-13

c182

name 名前Bob Backstrom
date 日付June 21, 2021 02:48:48 UTC 2021 年 6 月 21 日 (月) 11 時 48 分 48 秒 (日本時間)
composite number 合成数
14138577319452269185220701191541136531977605439080904005804381163994930489434281867162828527244021593444250659238706675757713843021125117255659502735154621833714284153504719866911423<182>
prime factors 素因数
3837992960380584883712504136552964182859<40>
3683846600398728416425559947513913899970313289865336078587374043097591023786716277838497219345630440355398503454448579799741078124776008939997<142>
factorization results 素因数分解の結果
#
# N = 94x10^207-1 = 313(207)
#
n: 14138577319452269185220701191541136531977605439080904005804381163994930489434281867162828527244021593444250659238706675757713843021125117255659502735154621833714284153504719866911423
m: 100000000000000000000000000000000000000000
deg: 5
c5: 9400
c0: -1
skew: 0.16
# Murphy_E = 5.609e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 14138577319452269185220701191541136531977605439080904005804381163994930489434281867162828527244021593444250659238706675757713843021125117255659502735154621833714284153504719866911423 (182 digits)
Using B1=36420000, B2=192389627446, polynomial Dickson(12), sigma=1:3606904170
Step 1 took 98036ms
Step 2 took 33326ms
********** Factor found in step 2: 3837992960380584883712504136552964182859
Found prime factor of 40 digits: 3837992960380584883712504136552964182859
Prime cofactor 3683846600398728416425559947513913899970313289865336078587374043097591023786716277838497219345630440355398503454448579799741078124776008939997 has 142 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 21:19:39 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 39 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:24 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 24 秒 (日本時間)
4511e6498 / 4342CypJanuary 25, 2015 13:27:32 UTC 2015 年 1 月 25 日 (日) 22 時 27 分 32 秒 (日本時間)

94×10208-13

c202

name 名前Bob Backstrom
date 日付September 14, 2020 21:06:51 UTC 2020 年 9 月 15 日 (火) 6 時 6 分 51 秒 (日本時間)
composite number 合成数
6431649671819259641995631691964705378204982545631750465348669752503757400528089070192075538439065582840643310295095787071725941879001935782865427056509206129917722300511591888783859137457346787550753841<202>
prime factors 素因数
252112720847984788070219007296494507523140475025843601993931971783089725765521111560010466801085887<99>
25511008132339823303781788628372836477070605159604112258661750679760101597289683135608135223475913456143<104>
factorization results 素因数分解の結果
Number: n
N=6431649671819259641995631691964705378204982545631750465348669752503757400528089070192075538439065582840643310295095787071725941879001935782865427056509206129917722300511591888783859137457346787550753841  ( 202 digits)
SNFS difficulty: 209 digits.
Divisors found:

Tue Sep 15 06:57:14 2020  p99 factor: 252112720847984788070219007296494507523140475025843601993931971783089725765521111560010466801085887
Tue Sep 15 06:57:14 2020  p104 factor: 25511008132339823303781788628372836477070605159604112258661750679760101597289683135608135223475913456143
Tue Sep 15 06:57:14 2020  elapsed time 04:02:30 (Msieve 1.54 - dependency 3)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.121).
Factorization parameters were as follows:
#
# N = 94x10^208-1 = 313(208)
#
n: 6431649671819259641995631691964705378204982545631750465348669752503757400528089070192075538439065582840643310295095787071725941879001935782865427056509206129917722300511591888783859137457346787550753841
m: 100000000000000000000000000000000000000000
deg: 5
c5: 94000
c0: -1
skew: 0.10
# Murphy_E = 4.702e-12
type: snfs
lss: 1
rlim: 22000000
alim: 22000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 22000000/22000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 51000000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9664455 hash collisions in 60720211 relations (53045978 unique)
Msieve: matrix is 2951957 x 2952182 (1033.3 MB)

Sieving start time: 2020/09/14 06:56:46
Sieving end time  : 2020/09/15 02:53:51

Total sieving time: 19hrs 57min 5secs.

Total relation processing time: 3hrs 27min 54sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 16min 30sec.

Prototype def-par.txt line would be:
snfs,209,5,0,0,0,0,0,0,0,0,22000000,22000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.150649] 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)
[    0.184730] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.80 BogoMIPS (lpj=11977604)
[    0.182223] smpboot: Total of 16 processors activated (95820.83 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)
403e62392300Serge BatalovDecember 20, 2014 21:19:39 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 39 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:25 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 25 秒 (日本時間)
1792Youcef LemsaferJanuary 29, 2015 21:24:07 UTC 2015 年 1 月 30 日 (金) 6 時 24 分 7 秒 (日本時間)
4511e6768 / 3946Youcef LemsaferFebruary 2, 2015 00:16:59 UTC 2015 年 2 月 2 日 (月) 9 時 16 分 59 秒 (日本時間)

94×10209-13

c204

name 名前Bob Backstrom
date 日付August 18, 2017 09:50:39 UTC 2017 年 8 月 18 日 (金) 18 時 50 分 39 秒 (日本時間)
composite number 合成数
382649390290939322431326544888905280394685748984686656352230229228559696703951779012324119176722509460293795759422466461086246363762223459998015922203959533768584802574693059216336491127073018337169393471<204>
prime factors 素因数
16109822842795992802478617059205774739417039783<47>
23752551100340179812571411631072300394623209600029900416627362464808250908981500841258220589451285244598171540206171519234252148029347034087433024998876410537<158>
factorization results 素因数分解の結果
Number: n
N=382649390290939322431326544888905280394685748984686656352230229228559696703951779012324119176722509460293795759422466461086246363762223459998015922203959533768584802574693059216336491127073018337169393471
  ( 204 digits)
SNFS difficulty: 211 digits.
Divisors found:

Fri Aug 18 19:40:32 2017  prp47 factor: 16109822842795992802478617059205774739417039783
Fri Aug 18 19:40:32 2017  prp158 factor: 23752551100340179812571411631072300394623209600029900416627362464808250908981500841258220589451285244598171540206171519234252148029347034087433024998876410537
Fri Aug 18 19:40:32 2017  elapsed time 00:19:17 (Msieve 1.44 - dependency 5)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=3.826).
Factorization parameters were as follows:
#
# 94x10^209-1 313(209)
#
n: 382649390290939322431326544888905280394685748984686656352230229228559696703951779012324119176722509460293795759422466461086246363762223459998015922203959533768584802574693059216336491127073018337169393471
m: 1000000000000000000000000000000000000000000
deg: 5
c5: 47
c0: -5
skew: 0.64
# Murphy_E = 4.789e-12
type: snfs
lss: 1
rlim: 24000000
alim: 24000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 24000000/24000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 34400000)
Primes: RFBsize:1507122, AFBsize:1506289,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 12711206 hash collisions in 71399540 relations (60827180 unique)
Msieve: matrix is 3015827 x 3016052 (852.4 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 1hrs 45min 57sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 19min 15sec.

Prototype def-par.txt line would be:
snfs,211,5,0,0,0,0,0,0,0,0,24000000,24000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.038374] smpboot: CPU0: Intel(R) Core(TM) i7-4790 CPU @ 3.60GHz (fam: 06, model: 3c, stepping: 03)
[    0.000000] efi: mem02: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x0000000000009000-0x0000000000058000) (0MB)
[    0.000000] efi: mem04: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x0000000000059000-0x000000000005f000) (0MB)
[    0.000000] efi: mem08: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x0000000000100000-0x0000000001000000) (15MB)
[    0.000000] efi: mem10: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000022d8000-0x000000003eefc000) (972MB)
[    0.000000] efi: mem12: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x0000000040000000-0x0000000090ff4000) (1295MB)
[    0.000000] efi: mem14: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000c3ddf000-0x00000000c6d42000) (47MB)
[    0.000000] efi: mem17: [ACPI Memory NVS    |   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000c7052000-0x00000000c7059000) (0MB)
[    0.000000] efi: mem26: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000c7ccf000-0x00000000c7cd9000) (0MB)
[    0.000000] efi: mem28: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000c7cde000-0x00000000cae1e000) (49MB)
[    0.000000] efi: mem30: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000cae85000-0x00000000cae9f000) (0MB)
[    0.000000] efi: mem32: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000caf16000-0x00000000caf2b000) (0MB)
[    0.000000] efi: mem34: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000cafb1000-0x00000000cafd8000) (0MB)
[    0.000000] efi: mem36: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000cb046000-0x00000000cb069000) (0MB)
[    0.000000] efi: mem38: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000cb123000-0x00000000cb16c000) (0MB)
[    0.000000] efi: mem40: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000cb216000-0x00000000cb259000) (0MB)
[    0.000000] efi: mem42: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000cb30c000-0x00000000cb34d000) (0MB)
[    0.000000] efi: mem44: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000cb34e000-0x00000000cb34f000) (0MB)
[    0.000000] efi: mem46: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000cb350000-0x00000000cb3cd000) (0MB)
[    0.000000] efi: mem48: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000cb41e000-0x00000000cb4bb000) (0MB)
[    0.000000] efi: mem50: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000cb4bc000-0x00000000cb50d000) (0MB)
[    0.000000] efi: mem52: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000cb50e000-0x00000000cb5a0000) (0MB)
[    0.000000] efi: mem54: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000cb5a1000-0x00000000cb874000) (2MB)
[    0.000000] efi: mem56: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000cb875000-0x00000000cb876000) (0MB)
[    0.000000] efi: mem58: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000cb877000-0x00000000cb8f5000) (0MB)
[    0.000000] efi: mem60: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000cb946000-0x00000000cbbf5000) (2MB)
[    0.000000] efi: mem62: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000cbcc7000-0x00000000cbd5a000) (0MB)
[    0.000000] efi: mem64: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000cbe04000-0x00000000cbe1e000) (0MB)
[    0.000000] efi: mem66: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000cbe94000-0x00000000cbea9000) (0MB)
[    0.000000] efi: mem68: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000cbf30000-0x00000000cbf57000) (0MB)
[    0.000000] efi: mem70: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000cbfc5000-0x00000000cbfe8000) (0MB)
[    0.000000] efi: mem72: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000cc285000-0x00000000cc2c6000) (0MB)
[    0.000000] efi: mem74: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000cc330000-0x00000000cc34a000) (0MB)
[    0.000000] efi: mem76: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000cc3c2000-0x00000000cc3d7000) (0MB)
[    0.000000] efi: mem78: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000cc45e000-0x00000000cc485000) (0MB)
[    0.000000] efi: mem80: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000cc4f1000-0x00000000cc514000) (0MB)
[    0.000000] efi: mem82: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000cc6ae000-0x00000000cc6c1000) (0MB)
[    0.000000] efi: mem84: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000cc85c000-0x00000000cc876000) (0MB)
[    0.000000] efi: mem86: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000cc8ee000-0x00000000cc8f2000) (0MB)
[    0.000000] efi: mem88: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000cc98a000-0x00000000cc98f000) (0MB)
[    0.000000] efi: mem90: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000cca1c000-0x00000000cca25000) (0MB)
[    0.000000] efi: mem92: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000ccccf000-0x00000000cccd8000) (0MB)
[    0.000000] efi: mem94: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000ccd87000-0x00000000ccd8c000) (0MB)
[    0.000000] efi: mem96: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000cce17000-0x00000000cce1b000) (0MB)
[    0.000000] efi: mem98: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000cd148000-0x00000000cd14a000) (0MB)
[    0.000000] efi: mem100: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000cd23c000-0x00000000cd240000) (0MB)
[    0.000000] efi: mem102: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000cd2eb000-0x00000000cd2f0000) (0MB)
[    0.000000] efi: mem104: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000cd417000-0x00000000cd41b000) (0MB)
[    0.000000] efi: mem106: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000cd4ac000-0x00000000cd4b5000) (0MB)
[    0.000000] efi: mem108: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000cd588000-0x00000000cd58e000) (0MB)
[    0.000000] efi: mem110: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000cd676000-0x00000000cd67d000) (0MB)
[    0.000000] efi: mem112: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000cd892000-0x00000000cd893000) (0MB)
[    0.000000] efi: mem114: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000cd8a4000-0x00000000cd8bc000) (0MB)
[    0.000000] efi: mem116: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000cde60000-0x00000000cde69000) (0MB)
[    0.000000] efi: mem118: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000ce0ea000-0x00000000ce0ec000) (0MB)
[    0.000000] efi: mem120: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000ce0f1000-0x00000000ce0f4000) (0MB)
[    0.000000] efi: mem122: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000ce0f9000-0x00000000ce0fc000) (0MB)
[    0.000000] efi: mem124: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000ce101000-0x00000000ce104000) (0MB)
[    0.000000] efi: mem126: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000ce107000-0x00000000ce109000) (0MB)
[    0.000000] efi: mem128: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000ce13c000-0x00000000ce13e000) (0MB)
[    0.000000] efi: mem130: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000d7c61000-0x00000000d7c64000) (0MB)
[    0.000000] efi: mem132: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000d7c6b000-0x00000000d7c6e000) (0MB)
[    0.000000] efi: mem134: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000d95d0000-0x00000000da0b6000) (10MB)
[    0.000000] efi: mem138: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000da443000-0x00000000da4a8000) (0MB)
[    0.000000] efi: mem139: [ACPI Memory NVS    |   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000da4a8000-0x00000000da5d0000) (1MB)
[    0.000000] efi: mem140: [ACPI Memory NVS    |   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000da5d0000-0x00000000da5d4000) (0MB)
[    0.000000] efi: mem141: [ACPI Memory NVS    |   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000da5d4000-0x00000000da5eb000) (0MB)
[    0.000000] efi: mem151: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x0000000100000000-0x000000041ee00000) (12782MB)
[    0.000000] efi: mem153: [Memory Mapped I/O  |RUN|  |  |  |   |  |  |  |UC] range=[0x00000000f8000000-0x00000000fc000000) (64MB)
[    0.000000] efi: mem154: [Memory Mapped I/O  |RUN|  |  |  |   |  |  |  |UC] range=[0x00000000fec00000-0x00000000fec01000) (0MB)
[    0.000000] efi: mem155: [Memory Mapped I/O  |RUN|  |  |  |   |  |  |  |UC] range=[0x00000000fed00000-0x00000000fed04000) (0MB)
[    0.000000] efi: mem156: [Memory Mapped I/O  |RUN|  |  |  |   |  |  |  |UC] range=[0x00000000fed1c000-0x00000000fed20000) (0MB)
[    0.000000] efi: mem157: [Memory Mapped I/O  |RUN|  |  |  |   |  |  |  |UC] range=[0x00000000fee00000-0x00000000fee01000) (0MB)
[    0.000000] efi: mem158: [Memory Mapped I/O  |RUN|  |  |  |   |  |  |  |UC] range=[0x00000000ff000000-0x0000000100000000) (16MB)
[    0.000000] Memory: 16059420K/16661464K available (7585K kernel code, 1183K rwdata, 3284K rodata, 1504K init, 1524K bss, 602044K reserved, 0K cma-reserved)
[    1.083812] [drm] Memory usable by graphics device = 2048M
[    0.000027] Calibrating delay loop (skipped), value calculated using timer frequency.. 7200.23 BogoMIPS (lpj=3600117)
[    0.136470] smpboot: Total of 8 processors activated (57601.87 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
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)
403e62392300Serge BatalovDecember 20, 2014 21:19:40 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 40 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:25 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 25 秒 (日本時間)
1792Youcef LemsaferJanuary 29, 2015 21:25:16 UTC 2015 年 1 月 30 日 (金) 6 時 25 分 16 秒 (日本時間)
4511e6768 / 3946Youcef LemsaferFebruary 2, 2015 00:17:27 UTC 2015 年 2 月 2 日 (月) 9 時 17 分 27 秒 (日本時間)

94×10211-13

c149

name 名前ebina
date 日付March 14, 2023 14:46:10 UTC 2023 年 3 月 14 日 (火) 23 時 46 分 10 秒 (日本時間)
composite number 合成数
39502771005993395068016391135943127941177807789696199392241345111556375645073881235382521401352137802171038256528008510805468421079713037597450099007<149>
prime factors 素因数
2707418434396467144492946093694651265132548984919113007102904271<64>
14590567347894741598359282406692140977767532799042399517811657173704955316706110358417<86>
factorization results 素因数分解の結果
Number: 31333_211
N = 39502771005993395068016391135943127941177807789696199392241345111556375645073881235382521401352137802171038256528008510805468421079713037597450099007 (149 digits)
Divisors found:
r1=2707418434396467144492946093694651265132548984919113007102904271 (pp64)
r2=14590567347894741598359282406692140977767532799042399517811657173704955316706110358417 (pp86)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 155.38 hours.
Factorization parameters were as follows:
n: 39502771005993395068016391135943127941177807789696199392241345111556375645073881235382521401352137802171038256528008510805468421079713037597450099007
# norm 2.725725e-14 alpha -7.036017 e 7.164e-12 rroots 3
skew: 16545367.01
c0: 161999242021595488004932140006571649376
c1: -14808559981917350709707854761504
c2: -3950305498792515327747606
c3: 139706432230778041
c4: 10967894128
c5: 240
Y0: -175098836240703188502487437413
Y1: 187787778620477
type: gnfs
Factor base limits: 19700000/19700000
Large primes per side: 3
Large prime bits: 29/29
Sieved algebraic special-q in [0, 0)
Total raw relations: 43368715
Relations: 6100464 relations
Pruned matrix : 3644409 x 3644638
Polynomial selection time: 0.71 hours.
Total sieving time: 144.67 hours.
Total relation processing time: 0.36 hours.
Matrix solve time: 8.70 hours.
time per square root: 0.93 hours.
Prototype def-par.txt line would be: gnfs,148,5,65,2000,1e-05,0.28,250,20,50000,3600,19700000,19700000,29,29,58,58,2.6,2.6,100000
total time: 155.38 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
processors: 8, speed: 3.39GHz
Windows-7-6.1.7601-SP1
Running Python 3.2

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)
403e62392300Serge BatalovDecember 20, 2014 21:19:40 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 40 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:25 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 25 秒 (日本時間)
1792Youcef LemsaferJanuary 29, 2015 21:25:38 UTC 2015 年 1 月 30 日 (金) 6 時 25 分 38 秒 (日本時間)
4511e6768 / 3946Youcef LemsaferFebruary 2, 2015 00:18:03 UTC 2015 年 2 月 2 日 (月) 9 時 18 分 3 秒 (日本時間)

94×10213-13

c197

name 名前Serge Batalov
date 日付December 21, 2014 01:51:42 UTC 2014 年 12 月 21 日 (日) 10 時 51 分 42 秒 (日本時間)
composite number 合成数
61057996230032265669492542802211873308879347714260641853487679390516977716817420774897082251867797881731811589956391870400195504147222884240345487654176674944555383772292127638046111366206348516997<197>
prime factors 素因数
15745614809285543451530660802516563<35>
composite cofactor 合成数の残り
3877777842883911463019605119605785561336173100203116396844451443466161439122952467768819323641467346480417169250835673047001149474282973944014830375273958181842119<163>
factorization results 素因数分解の結果
Input number is 61057996230032265669492542802211873308879347714260641853487679390516977716817420774897082251867797881731811589956391870400195504147222884240345487654176674944555383772292127638046111366206348516997 (197 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=279676554
Step 1 took 15999ms
Step 2 took 10230ms
********** Factor found in step 2: 15745614809285543451530660802516563
Found probable prime factor of 35 digits: 15745614809285543451530660802516563
Composite cofactor 3877777842883911463019605119605785561336173100203116396844451443466161439122952467768819323641467346480417169250835673047001149474282973944014830375273958181842119 has 163 digits

c163

name 名前Youcef Lemsafer
date 日付January 29, 2015 21:30:08 UTC 2015 年 1 月 30 日 (金) 6 時 30 分 8 秒 (日本時間)
composite number 合成数
3877777842883911463019605119605785561336173100203116396844451443466161439122952467768819323641467346480417169250835673047001149474282973944014830375273958181842119<163>
prime factors 素因数
37843043583360481677095286533704209607<38>
composite cofactor 合成数の残り
102470030835177417353665251559498484820222269213736422767842985545936516658627419377147430086680693693088567643790378517948417<126>
factorization results 素因数分解の結果
GMP-ECM 7.0-dev [configured with MPIR 2.7.0, --enable-gpu, --enable-openmp] [ECM]
Input number is (94*10^213-1)/(3*61*139*60522856307791*15745614809285543451530660802516563) (163 digits)
Using MODMULN [mulredc:0, sqrredc:1]
Computing batch product (of zu bits) of primes below B1=0 took 0ms
GPU: compiled for a NVIDIA GPU with compute capability 3.0.
GPU: device 0 is required.
GPU: will use device 0: GeForce GTX 760, compute capability 3.0, 6 MPs.
GPU: Selection and initialization of the device took 0ms
Using B1=3000000, B2=0, sigma=3:2695868046-3:2695869837 (1792 curves)
dF=0, k=0, d=12, d2=0, i0=0
Expected number of curves to find a factor of n digits:
35 40      45      50      55      60      65      70      75      80
5388    51440   559187  6813685 9.3e+007        1.2e+009        5.4e+010        Inf     Inf     Inf
Computing 1792 Step 1 took 37019ms of CPU time / 4036866ms of GPU time
Throughput: 0.444 curves by second (on average 2252.72ms by Step 1)
Expected time to find a factor of n digits:
35       40      45      50      55      60      65      70      75      80
3.37h   1.34d   14.58d  177.60d 6.62y   86.09y  3827y   Inf     Inf     Inf
Resuming ECM residue saved by *******@***** with GMP-ECM 7.0-dev on Thu Jan 29 19:19:00 2015 
Input number is (94*10^213-1)/(3*61*139*60522856307791*15745614809285543451530660802516563) (163 digits)
[Thu Jan 29 20:00:25 2015]
Using MODMULN [mulredc:0, sqrredc:1]
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2695869061
dF=16384, k=2, d=158340, d2=11, i0=8
Expected number of curves to find a factor of n digits:
35       40      45      50      55      60      65      70      75      80
389     2872    25127   252850  2853276 3.6e+007        5.1e+008        7.8e+009        1.8e+011        2.3e+016
Step 1 took 0ms
Using 20 small primes for NTT
Estimated memory usage: 55M
Initializing tables of differences for F took 16ms
Computing roots of F took 468ms
Building F from its roots took 998ms
Computing 1/F took 546ms
Initializing table of differences for G took 16ms
Computing roots of G took 421ms
Building G from its roots took 1030ms
Computing roots of G took 436ms
Building G from its roots took 999ms
Computing G * H took 297ms
Reducing  G * H mod F took 327ms
Computing polyeval(F,G) took 1904ms
Computing product of all F(g_i) took 15ms
Step 2 took 7550ms
********** Factor found in step 2: 37843043583360481677095286533704209607
Found probable prime factor of 38 digits: 37843043583360481677095286533704209607
Composite cofactor ((94*10^213-1)/(3*61*139*60522856307791*15745614809285543451530660802516563))/37843043583360481677095286533704209607 has 126 digits

c126

name 名前Youcef Lemsafer
date 日付February 28, 2015 22:53:15 UTC 2015 年 3 月 1 日 (日) 7 時 53 分 15 秒 (日本時間)
composite number 合成数
102470030835177417353665251559498484820222269213736422767842985545936516658627419377147430086680693693088567643790378517948417<126>
prime factors 素因数
2967508953842657724623331234481544389199269917716177341<55>
34530655990940794087163814184106930274048068666088299110506756187154837<71>
factorization results 素因数分解の結果
Sat Feb 28 10:20:24 2015  Msieve v. 1.53 (SVN 965M)
Sat Feb 28 10:20:24 2015  random seeds: f1a3bb00 c4ff917f
Sat Feb 28 10:20:24 2015  factoring 102470030835177417353665251559498484820222269213736422767842985545936516658627419377147430086680693693088567643790378517948417 (126 digits)
Sat Feb 28 10:20:25 2015  searching for 15-digit factors
Sat Feb 28 10:20:27 2015  commencing number field sieve (126-digit input)
Sat Feb 28 10:20:27 2015  commencing number field sieve polynomial selection
Sat Feb 28 10:20:27 2015  polynomial degree: 5
Sat Feb 28 10:20:27 2015  max stage 1 norm: 7.70e+018
Sat Feb 28 10:20:27 2015  max stage 2 norm: 2.07e+017
Sat Feb 28 10:20:27 2015  min E-value: 1.12e-010
Sat Feb 28 10:20:27 2015  poly select deadline: 28835
Sat Feb 28 10:20:27 2015  time limit set to 8.01 CPU-hours
Sat Feb 28 10:20:27 2015  expecting poly E from 1.45e-010 to > 1.67e-010
Sat Feb 28 10:20:27 2015  searching leading coefficients from 20000 to 60000
Sat Feb 28 12:11:42 2015  polynomial selection complete
Sat Feb 28 12:11:42 2015  R0: -1376971586371008459951678
Sat Feb 28 12:11:42 2015  R1: 5264646210911
Sat Feb 28 12:11:42 2015  A0: 5334261751096472110296481552045
Sat Feb 28 12:11:42 2015  A1: 302047794790327235997064551
Sat Feb 28 12:11:42 2015  A2: -2598174636900516254913
Sat Feb 28 12:11:42 2015  A3: -1160167112757971
Sat Feb 28 12:11:42 2015  A4: 20292135588
Sat Feb 28 12:11:42 2015  A5: 20700
Sat Feb 28 12:11:42 2015  skew 336249.36, size 5.163e-012, alpha -7.512, combined = 1.515e-010 rroots = 5
Sat Feb 28 12:11:42 2015  elapsed time 01:51:18



Sat Feb 28 12:16:03 2015 -> factmsieve.py (v0.76)
Sat Feb 28 12:16:03 2015 -> This is client 1 of 1
Sat Feb 28 12:16:03 2015 -> Running on 4 Cores with 2 hyper-threads per Core
Sat Feb 28 12:16:03 2015 -> Working with NAME = 31333_213
Sat Feb 28 12:16:03 2015 -> Converting msieve polynomial (*.fb) to ggnfs (*.poly) format.
Sat Feb 28 12:16:03 2015 -> Selected lattice siever: gnfs-lasieve4I13e
Sat Feb 28 12:16:03 2015 -> Creating param file to detect parameter changes...
Sat Feb 28 12:16:03 2015 -> Running setup ...
Sat Feb 28 12:16:03 2015 -> Estimated minimum relations needed: 1.628e+07
Sat Feb 28 12:16:03 2015 -> cleaning up before a restart
Sat Feb 28 12:16:03 2015 -> Running lattice siever ...
Sat Feb 28 12:16:03 2015 -> entering sieving loop
<...snipped...>
Sat Feb 28 12:16:03 2015 -> Lattice sieving algebraic q from 2900000 to 3000000.
<...snipped...>
Sat Feb 28 12:29:11 2015 Found 658189 relations, 4.0% of the estimated minimum (16280000).
<...snipped...>
Sat Feb 28 18:22:57 2015 -> Lattice sieving algebraic q from 5500000 to 5600000.
<...snipped...>
Sat Feb 28 18:36:55 2015 Found 18196048 relations, 111.8% of the estimated minimum (16280000).
Sat Feb 28 18:36:55 2015  
Sat Feb 28 18:36:55 2015  
Sat Feb 28 18:36:55 2015  Msieve v. 1.53 (SVN 965M)
Sat Feb 28 18:36:55 2015  random seeds: 47791f58 ea79dd82
Sat Feb 28 18:36:55 2015  factoring 102470030835177417353665251559498484820222269213736422767842985545936516658627419377147430086680693693088567643790378517948417 (126 digits)
Sat Feb 28 18:36:55 2015  searching for 15-digit factors
Sat Feb 28 18:36:57 2015  commencing number field sieve (126-digit input)
Sat Feb 28 18:36:57 2015  R0: -1376971586371008459951678
Sat Feb 28 18:36:57 2015  R1: 5264646210911
Sat Feb 28 18:36:57 2015  A0: 5334261751096472110296481552045
Sat Feb 28 18:36:57 2015  A1: 302047794790327235997064551
Sat Feb 28 18:36:57 2015  A2: -2598174636900516254913
Sat Feb 28 18:36:57 2015  A3: -1160167112757971
Sat Feb 28 18:36:57 2015  A4: 20292135588
Sat Feb 28 18:36:57 2015  A5: 20700
Sat Feb 28 18:36:57 2015  skew 336249.36, size 5.163e-012, alpha -7.512, combined = 1.515e-010 rroots = 5
Sat Feb 28 18:36:57 2015  
Sat Feb 28 18:36:57 2015  commencing relation filtering
Sat Feb 28 18:36:57 2015  estimated available RAM is 8189.6 MB
Sat Feb 28 18:36:57 2015  commencing duplicate removal, pass 1
Sat Feb 28 18:39:17 2015  found 1699768 hash collisions in 18196047 relations
Sat Feb 28 18:39:45 2015  added 279 free relations
Sat Feb 28 18:39:45 2015  commencing duplicate removal, pass 2
Sat Feb 28 18:39:53 2015  found 1296858 duplicates and 16899468 unique relations
Sat Feb 28 18:39:53 2015  memory use: 69.3 MB
Sat Feb 28 18:39:53 2015  reading ideals above 720000
Sat Feb 28 18:39:54 2015  commencing singleton removal, initial pass
Sat Feb 28 18:42:26 2015  memory use: 376.5 MB
Sat Feb 28 18:42:26 2015  reading all ideals from disk
Sat Feb 28 18:42:26 2015  memory use: 497.7 MB
Sat Feb 28 18:42:27 2015  keeping 19112058 ideals with weight <= 200, target excess is 116883
Sat Feb 28 18:42:28 2015  commencing in-memory singleton removal
Sat Feb 28 18:42:29 2015  begin with 16899468 relations and 19112058 unique ideals
Sat Feb 28 18:42:40 2015  reduce to 5030442 relations and 4807551 ideals in 25 passes
Sat Feb 28 18:42:40 2015  max relations containing the same ideal: 84
Sat Feb 28 18:42:42 2015  removing 562928 relations and 519275 ideals in 43653 cliques
Sat Feb 28 18:42:42 2015  commencing in-memory singleton removal
Sat Feb 28 18:42:42 2015  begin with 4467514 relations and 4807551 unique ideals
Sat Feb 28 18:42:45 2015  reduce to 4410998 relations and 4230990 ideals in 12 passes
Sat Feb 28 18:42:45 2015  max relations containing the same ideal: 77
Sat Feb 28 18:42:47 2015  removing 406352 relations and 362699 ideals in 43653 cliques
Sat Feb 28 18:42:47 2015  commencing in-memory singleton removal
Sat Feb 28 18:42:47 2015  begin with 4004646 relations and 4230990 unique ideals
Sat Feb 28 18:42:49 2015  reduce to 3970691 relations and 3833949 ideals in 9 passes
Sat Feb 28 18:42:49 2015  max relations containing the same ideal: 70
Sat Feb 28 18:42:51 2015  relations with 0 large ideals: 427
Sat Feb 28 18:42:51 2015  relations with 1 large ideals: 2395
Sat Feb 28 18:42:51 2015  relations with 2 large ideals: 36694
Sat Feb 28 18:42:51 2015  relations with 3 large ideals: 219951
Sat Feb 28 18:42:51 2015  relations with 4 large ideals: 677918
Sat Feb 28 18:42:51 2015  relations with 5 large ideals: 1144173
Sat Feb 28 18:42:51 2015  relations with 6 large ideals: 1091769
Sat Feb 28 18:42:51 2015  relations with 7+ large ideals: 797364
Sat Feb 28 18:42:51 2015  commencing 2-way merge
Sat Feb 28 18:42:53 2015  reduce to 2141289 relation sets and 2004551 unique ideals
Sat Feb 28 18:42:53 2015  ignored 4 oversize relation sets
Sat Feb 28 18:42:53 2015  commencing full merge
Sat Feb 28 18:43:18 2015  memory use: 216.8 MB
Sat Feb 28 18:43:18 2015  found 1067150 cycles, need 1050751
Sat Feb 28 18:43:18 2015  weight of 1050751 cycles is about 73788975 (70.22/cycle)
Sat Feb 28 18:43:18 2015  distribution of cycle lengths:
Sat Feb 28 18:43:18 2015  1 relations: 134306
Sat Feb 28 18:43:18 2015  2 relations: 127121
Sat Feb 28 18:43:18 2015  3 relations: 124231
Sat Feb 28 18:43:18 2015  4 relations: 108393
Sat Feb 28 18:43:18 2015  5 relations: 94156
Sat Feb 28 18:43:18 2015  6 relations: 79577
Sat Feb 28 18:43:18 2015  7 relations: 68933
Sat Feb 28 18:43:18 2015  8 relations: 57572
Sat Feb 28 18:43:18 2015  9 relations: 48387
Sat Feb 28 18:43:18 2015  10+ relations: 208075
Sat Feb 28 18:43:18 2015  heaviest cycle: 22 relations
Sat Feb 28 18:43:18 2015  commencing cycle optimization
Sat Feb 28 18:43:20 2015  start with 6271771 relations
Sat Feb 28 18:43:28 2015  pruned 106033 relations
Sat Feb 28 18:43:28 2015  memory use: 219.9 MB
Sat Feb 28 18:43:28 2015  distribution of cycle lengths:
Sat Feb 28 18:43:28 2015  1 relations: 134306
Sat Feb 28 18:43:28 2015  2 relations: 129528
Sat Feb 28 18:43:28 2015  3 relations: 127526
Sat Feb 28 18:43:28 2015  4 relations: 109950
Sat Feb 28 18:43:28 2015  5 relations: 95487
Sat Feb 28 18:43:28 2015  6 relations: 80014
Sat Feb 28 18:43:28 2015  7 relations: 69041
Sat Feb 28 18:43:28 2015  8 relations: 56986
Sat Feb 28 18:43:28 2015  9 relations: 48056
Sat Feb 28 18:43:28 2015  10+ relations: 199857
Sat Feb 28 18:43:28 2015  heaviest cycle: 22 relations
Sat Feb 28 18:43:29 2015  RelProcTime: 392
Sat Feb 28 18:43:29 2015  elapsed time 00:06:34
Sat Feb 28 18:43:29 2015 LatSieveTime: 1231.27
Sat Feb 28 18:43:29 2015 -> Running matrix solving step ...
Sat Feb 28 18:43:29 2015  
<...snipped...>
Sat Feb 28 18:43:31 2015  
Sat Feb 28 18:43:31 2015  commencing linear algebra
Sat Feb 28 18:43:31 2015  read 1050751 cycles
Sat Feb 28 18:43:33 2015  cycles contain 3786465 unique relations
Sat Feb 28 18:44:04 2015  read 3786465 relations
Sat Feb 28 18:44:08 2015  using 20 quadratic characters above 268433834
Sat Feb 28 18:44:24 2015  building initial matrix
Sat Feb 28 18:44:55 2015  memory use: 472.7 MB
Sat Feb 28 18:44:56 2015  read 1050751 cycles
Sat Feb 28 18:44:56 2015  matrix is 1050559 x 1050751 (316.3 MB) with weight 99921183 (95.10/col)
Sat Feb 28 18:44:56 2015  sparse part has weight 71344966 (67.90/col)
Sat Feb 28 18:45:05 2015  filtering completed in 2 passes
Sat Feb 28 18:45:05 2015  matrix is 1045960 x 1046149 (315.8 MB) with weight 99716200 (95.32/col)
Sat Feb 28 18:45:05 2015  sparse part has weight 71274350 (68.13/col)
Sat Feb 28 18:45:06 2015  matrix starts at (0, 0)
Sat Feb 28 18:45:07 2015  matrix is 1045960 x 1046149 (315.8 MB) with weight 99716200 (95.32/col)
Sat Feb 28 18:45:07 2015  sparse part has weight 71274350 (68.13/col)
Sat Feb 28 18:45:07 2015  saving the first 48 matrix rows for later
Sat Feb 28 18:45:07 2015  matrix includes 64 packed rows
Sat Feb 28 18:45:07 2015  matrix is 1045912 x 1046149 (305.0 MB) with weight 79207448 (75.71/col)
Sat Feb 28 18:45:07 2015  sparse part has weight 69500161 (66.43/col)
Sat Feb 28 18:45:07 2015  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Sat Feb 28 18:45:12 2015  commencing Lanczos iteration (8 threads)
Sat Feb 28 18:45:12 2015  memory use: 239.4 MB
Sat Feb 28 18:45:15 2015  linear algebra at 0.1%, ETA 0h34m
Sat Feb 28 18:45:16 2015  checkpointing every 1830000 dimensions
Sat Feb 28 19:19:15 2015  lanczos halted after 16539 iterations (dim = 1045910)
Sat Feb 28 19:19:17 2015  recovered 26 nontrivial dependencies
Sat Feb 28 19:19:17 2015  BLanczosTime: 2146
Sat Feb 28 19:19:17 2015  elapsed time 00:35:48
Sat Feb 28 19:19:17 2015 -> Running square root step ...
Sat Feb 28 19:19:17 2015  
<...snipped...>
Sat Feb 28 19:19:20 2015  
Sat Feb 28 19:19:20 2015  commencing square root phase
Sat Feb 28 19:19:20 2015  reading relations for dependency 1
Sat Feb 28 19:19:20 2015  read 523190 cycles
Sat Feb 28 19:19:21 2015  cycles contain 1891794 unique relations
Sat Feb 28 19:19:37 2015  read 1891794 relations
Sat Feb 28 19:19:45 2015  multiplying 1891794 relations
Sat Feb 28 19:22:24 2015  multiply complete, coefficients have about 86.25 million bits
Sat Feb 28 19:22:24 2015  initial square root is modulo 1552123
Sat Feb 28 19:25:36 2015  sqrtTime: 376
Sat Feb 28 19:25:36 2015  prp55 factor: 2967508953842657724623331234481544389199269917716177341
Sat Feb 28 19:25:36 2015  prp71 factor: 34530655990940794087163814184106930274048068666088299110506756187154837
Sat Feb 28 19:25:36 2015  elapsed time 00:06:19
Sat Feb 28 19:25:36 2015 -> Computing 1.42515e+09 scale for this machine...
Sat Feb 28 19:25:36 2015 -> procrels -speedtest> PIPE
Sat Feb 28 19:25:39 2015 -> Factorization summary written to g126-31333_213.txt


Number: 31333_213
N = 102470030835177417353665251559498484820222269213736422767842985545936516658627419377147430086680693693088567643790378517948417 (126 digits)
Divisors found:
r1=2967508953842657724623331234481544389199269917716177341 (pp55)
r2=34530655990940794087163814184106930274048068666088299110506756187154837 (pp71)
Version: Msieve v. 1.53 (SVN 965M)
Total time: 7.26 hours.
Factorization parameters were as follows:
n: 102470030835177417353665251559498484820222269213736422767842985545936516658627419377147430086680693693088567643790378517948417
Y0: -1376971586371008459951678
Y1: 5264646210911
c0: 5334261751096472110296481552045
c1: 302047794790327235997064551
c2: -2598174636900516254913
c3: -1160167112757971
c4: 20292135588
c5: 20700
skew: 336249.36 
type: gnfs
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [2900000, 5600001)
Total raw relations: 18196048
Relations: 1891794 relations
Pruned matrix : 1045912 x 1046149
Polynomial selection time: 0.00 hours.
Total sieving time: 6.45 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.60 hours.
time per square root: 0.10 hours.
Prototype def-par.txt line would be: gnfs,125,5,67,2000,5e-06,0.28,250,20,50000,3600,5800000,5800000,28,28,55,55,2.5,2.5,100000
total time: 7.26 hours.
Intel64 Family 6 Model 26 Stepping 5, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.80GHz
execution environment 実行環境
Intel Xeon W3530 @2.8GHz, Windows 7 Pro 64-bit.

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)
403e62092300Serge BatalovDecember 20, 2014 21:19:41 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 41 秒 (日本時間)
1792Youcef LemsaferJanuary 29, 2015 21:26:02 UTC 2015 年 1 月 30 日 (金) 6 時 26 分 2 秒 (日本時間)
4511e6768 / 4013Youcef LemsaferFebruary 2, 2015 00:18:34 UTC 2015 年 2 月 2 日 (月) 9 時 18 分 34 秒 (日本時間)

94×10214-13

c189

name 名前Youcef Lemsafer
date 日付February 2, 2015 00:21:46 UTC 2015 年 2 月 2 日 (月) 9 時 21 分 46 秒 (日本時間)
composite number 合成数
480329674862035005901273363173682338382794553541068416528030722825519598168394972449433436382112759366819821763520688513687835924214145054036759065326954825324211785992892169852665314386069<189>
prime factors 素因数
21702100710696012548229727627650238708231<41>
22132865443081351078321884368724595596663814460289413124008675030664833656472196297527308950235083227017767733038365596977584943381518093643534375299<149>
factorization results 素因数分解の結果
GMP-ECM 7.0-dev [configured with MPIR 2.7.0, --enable-gpu, --enable-openmp] [ECM]
Input number is (94*10^214-1)/(3*5293001522581*123243823030397) (189 digits)
Using MODMULN [mulredc:0, sqrredc:1]
Computing batch product (of zu bits) of primes below B1=0 took 0ms
GPU: compiled for a NVIDIA GPU with compute capability 3.0.
GPU: device 0 is required.
GPU: will use device 0: GeForce GTX 760, compute capability 3.0, 6 MPs.
GPU: Selection and initialization of the device took 0ms
Using B1=11000000, B2=0, sigma=3:2001963688-3:2001964455 (768 curves)
dF=0, k=0, d=9830960, d2=0, i0=0
Expected number of curves to find a factor of n digits:
35        40      45      50      55      60      65      70      75      80
1683    12398   103007  951342  9649550 1.1e+008        1.1e+009        1.4e+011        Inf     Inf
Computing 768 Step 1 took 124941ms of CPU time / 5954710ms of GPU time
Throughput: 0.129 curves by second (on average 7753.53ms by Step 1)
Expected time to find a factor of n digits:
35       40      45      50      55      60      65      70      75      80
3.62h   1.11d   9.24d   85.37d  2.37y   26.47y  275.37y 35571y  Inf     Inf
Resuming ECM residue saved by *******@***** with GMP-ECM 7.0-dev on Sun Feb 01 20:35:54 2015 
Input number is (94*10^214-1)/(3*5293001522581*123243823030397) (189 digits)
[Sun Feb 01 20:38:17 2015]
Using MODMULN [mulredc:0, sqrredc:1]
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2001963872
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
142     814     5429    41283   352042  3301461 3.4e+007        3.9e+008        4.8e+009        6e+010
Step 1 took 0ms
Using 23 small primes for NTT
Estimated memory usage: 125M
Initializing tables of differences for F took 62ms
Computing roots of F took 2137ms
Building F from its roots took 2652ms
Computing 1/F took 1638ms
Initializing table of differences for G took 47ms
Computing roots of G took 1888ms
Building G from its roots took 2745ms
Computing roots of G took 1888ms
Building G from its roots took 2714ms
Computing G * H took 890ms
Reducing  G * H mod F took 889ms
Computing roots of G took 1841ms
Building G from its roots took 2730ms
Computing G * H took 826ms
Reducing  G * H mod F took 983ms
Computing polyeval(F,G) took 5195ms
Computing product of all F(g_i) took 31ms
Step 2 took 29266ms
********** Factor found in step 2: 21702100710696012548229727627650238708231
Found probable prime factor of 41 digits: 21702100710696012548229727627650238708231
Probable prime cofactor ((94*10^214-1)/(3*5293001522581*123243823030397))/21702100710696012548229727627650238708231 has 149 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e62392300Serge BatalovDecember 20, 2014 21:19:41 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 41 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:26 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 26 秒 (日本時間)
1792Youcef LemsaferJanuary 29, 2015 21:34:44 UTC 2015 年 1 月 30 日 (金) 6 時 34 分 44 秒 (日本時間)
4511e6242 / 3946CypJanuary 6, 2015 12:38:45 UTC 2015 年 1 月 6 日 (火) 21 時 38 分 45 秒 (日本時間)

94×10215-13

c192

name 名前Serge Batalov
date 日付December 21, 2014 01:51:45 UTC 2014 年 12 月 21 日 (日) 10 時 51 分 45 秒 (日本時間)
composite number 合成数
894395451703914479552623185345887988626042494457325719555986685363586383506881269389505259426457345578107951056281537149551037669830255045827825115532774837189472778250913963454378753531815431<192>
prime factors 素因数
25366975815651123906307227327790314167<38>
35258260905980092013657404426986402637029245047561320187814878692554116059631425044869301529979620475645999345035046597137835374342776358652343475660543793<155>
factorization results 素因数分解の結果
Input number is 894395451703914479552623185345887988626042494457325719555986685363586383506881269389505259426457345578107951056281537149551037669830255045827825115532774837189472778250913963454378753531815431 (192 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=124565861
Step 1 took 13597ms
Step 2 took 9367ms
********** Factor found in step 2: 25366975815651123906307227327790314167
Found probable prime factor of 38 digits: 25366975815651123906307227327790314167
Probable prime cofactor 35258260905980092013657404426986402637029245047561320187814878692554116059631425044869301529979620475645999345035046597137835374342776358652343475660543793 has 155 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:19:42 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 42 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:26 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 26 秒 (日本時間)

94×10216-13

c195

composite cofactor 合成数の残り
288698529284180747651382201026595879744137590631502123012445082214450679761311404265558477682354638046445922740148604181767297583883715502743153843810284389762508569544305173318043217066341272079<195>

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)
403e62392300Serge BatalovDecember 20, 2014 21:19:42 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 42 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:26 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 26 秒 (日本時間)
1792Youcef LemsaferJanuary 29, 2015 21:47:37 UTC 2015 年 1 月 30 日 (金) 6 時 47 分 37 秒 (日本時間)
4511e6768 / 3946Youcef LemsaferFebruary 2, 2015 00:23:11 UTC 2015 年 2 月 2 日 (月) 9 時 23 分 11 秒 (日本時間)

94×10217-13

c206

name 名前Serge Batalov
date 日付December 21, 2014 01:51:49 UTC 2014 年 12 月 21 日 (日) 10 時 51 分 49 秒 (日本時間)
composite number 合成数
14182368919655043158732827058600821527993129974323124840257785415532082232060834899741175957489227296148282221100959944192234133454553984202073152803253806553421078235917106549259490272269014035000898434039<206>
prime factors 素因数
2853782661930053762930567698973<31>
4969673797815880465375328082055458597346515506459746282962136907142670624708895418697416932342813856208579734166162064844767882195982059696076187045345641560023115795722193443<175>
factorization results 素因数分解の結果
Input number is 14182368919655043158732827058600821527993129974323124840257785415532082232060834899741175957489227296148282221100959944192234133454553984202073152803253806553421078235917106549259490272269014035000898434039 (206 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=301752806
Step 1 took 17958ms
Step 2 took 12089ms
********** Factor found in step 2: 2853782661930053762930567698973
Found probable prime factor of 31 digits: 2853782661930053762930567698973
Probable prime cofactor 4969673797815880465375328082055458597346515506459746282962136907142670624708895418697416932342813856208579734166162064844767882195982059696076187045345641560023115795722193443 has 175 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:19:43 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 43 秒 (日本時間)

94×10218-13

c205

name 名前Erik Branger
date 日付December 11, 2019 17:05:08 UTC 2019 年 12 月 12 日 (木) 2 時 5 分 8 秒 (日本時間)
composite number 合成数
6583402964131910401077439918456341759269638377200467513837810250397196321368721003997447469974789018121120208247851655229966357956213415181062232444028855456582549638291471510823238662682199671101590665377<205>
prime factors 素因数
99731564593421243174910176959271523164604254883023874699985733<62>
66011227147299584350502525541111004165103735644388382927039657848185948352643505829306123474876753035040143921801985708280280342941265863370669<143>
factorization results 素因数分解の結果
Number: 31333_218
N = 6583402964131910401077439918456341759269638377200467513837810250397196321368721003997447469974789018121120208247851655229966357956213415181062232444028855456582549638291471510823238662682199671101590665377 (205 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=99731564593421243174910176959271523164604254883023874699985733 (pp62)
r2=66011227147299584350502525541111004165103735644388382927039657848185948352643505829306123474876753035040143921801985708280280342941265863370669 (pp143)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 71.51 hours.
Factorization parameters were as follows:
n: 6583402964131910401077439918456341759269638377200467513837810250397196321368721003997447469974789018121120208247851655229966357956213415181062232444028855456582549638291471510823238662682199671101590665377
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 47
c0: -50
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: 7295594 relations
Pruned matrix : 6485132 x 6485358
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 35.53 hours.
Total relation processing time: 0.42 hours.
Matrix solve time: 35.35 hours.
time per square root: 0.20 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 71.51 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)
403e62392300Serge BatalovDecember 20, 2014 21:19:43 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 43 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:27 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 27 秒 (日本時間)
1792Youcef LemsaferJanuary 30, 2015 00:01:49 UTC 2015 年 1 月 30 日 (金) 9 時 1 分 49 秒 (日本時間)
4511e6768 / 3946Youcef LemsaferFebruary 2, 2015 08:55:05 UTC 2015 年 2 月 2 日 (月) 17 時 55 分 5 秒 (日本時間)

94×10219-13

c199

name 名前Erik Branger
date 日付December 14, 2019 15:50:22 UTC 2019 年 12 月 15 日 (日) 0 時 50 分 22 秒 (日本時間)
composite number 合成数
3152116670436148012561789578538086192789248077178941613402268924467971924913950709734816776108768882682674157534027928843544258212745545789177230779555810223257345458105841771461877691574528536296953<199>
prime factors 素因数
4170122270981362854927776933336627162615447128872075263<55>
63627100879199844738857927058682857986037726647060472565385435342341<68>
11879861005923827162830527984168113354748654211544905645502290675471438305691<77>
factorization results 素因数分解の結果
Number: 31333_219
N = 3152116670436148012561789578538086192789248077178941613402268924467971924913950709734816776108768882682674157534027928843544258212745545789177230779555810223257345458105841771461877691574528536296953 (199 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=4170122270981362854927776933336627162615447128872075263 (pp55)
r2=63627100879199844738857927058682857986037726647060472565385435342341 (pp68)
r3=11879861005923827162830527984168113354748654211544905645502290675471438305691 (pp77)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 81.47 hours.
Factorization parameters were as follows:
n: 3152116670436148012561789578538086192789248077178941613402268924467971924913950709734816776108768882682674157534027928843544258212745545789177230779555810223257345458105841771461877691574528536296953
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 47
c0: -5
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: 7669940 relations
Pruned matrix : 6774851 x 6775076
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 40.29 hours.
Total relation processing time: 0.43 hours.
Matrix solve time: 38.89 hours.
time per square root: 1.86 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: 81.47 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)
403e62392300Serge BatalovDecember 20, 2014 21:19:44 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 44 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:27 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 27 秒 (日本時間)
1792Youcef LemsaferJanuary 30, 2015 06:57:46 UTC 2015 年 1 月 30 日 (金) 15 時 57 分 46 秒 (日本時間)
4511e6768 / 3946YFebruary 2, 2015 08:55:53 UTC 2015 年 2 月 2 日 (月) 17 時 55 分 53 秒 (日本時間)

94×10220-13

c190

name 名前Serge Batalov
date 日付December 21, 2014 01:51:52 UTC 2014 年 12 月 21 日 (日) 10 時 51 分 52 秒 (日本時間)
composite number 合成数
1843908840164030876416724978003354601068565919057421041344465847684486535012794714535211469681974570407741332410771364586106439878635319900861940753999206714020073510352042006451733070512401<190>
prime factors 素因数
970535846055992867439334428079450303<36>
1899887415449105145379476831036520301135058729516750864087667425124667244142360871971375099963770165630695711962964532284869434237950526111007988239710767<154>
factorization results 素因数分解の結果
Input number is 1843908840164030876416724978003354601068565919057421041344465847684486535012794714535211469681974570407741332410771364586106439878635319900861940753999206714020073510352042006451733070512401 (190 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1657867792
Step 1 took 13711ms
Step 2 took 9414ms
********** Factor found in step 2: 970535846055992867439334428079450303
Found probable prime factor of 36 digits: 970535846055992867439334428079450303
Probable prime cofactor 1899887415449105145379476831036520301135058729516750864087667425124667244142360871971375099963770165630695711962964532284869434237950526111007988239710767 has 154 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:19:44 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 44 秒 (日本時間)

94×10221-13

c183

name 名前Serge Batalov
date 日付December 21, 2014 01:51:56 UTC 2014 年 12 月 21 日 (日) 10 時 51 分 56 秒 (日本時間)
composite number 合成数
352447558630004816933403320378827315016671955595155931675762692411889854327024938676351019037852512386155074651474995787998498675151785430860926532958234268522431526284470541541066979<183>
prime factors 素因数
1371647114008433667948121742088613<34>
256952065170778151425592428036008167786473509916909257168683068461860053315516654136038359053175291784818414826380195506120241463989212419121326391783<150>
factorization results 素因数分解の結果
Input number is 352447558630004816933403320378827315016671955595155931675762692411889854327024938676351019037852512386155074651474995787998498675151785430860926532958234268522431526284470541541066979 (183 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=100051135
Step 1 took 13823ms
Step 2 took 9767ms
********** Factor found in step 2: 1371647114008433667948121742088613
Found probable prime factor of 34 digits: 1371647114008433667948121742088613
Probable prime cofactor 256952065170778151425592428036008167786473509916909257168683068461860053315516654136038359053175291784818414826380195506120241463989212419121326391783 has 150 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 21:19:45 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 45 秒 (日本時間)

94×10222-13

c222

name 名前Bob Backstrom
date 日付July 10, 2018 08:21:29 UTC 2018 年 7 月 10 日 (火) 17 時 21 分 29 秒 (日本時間)
composite number 合成数
207505518763796909492273730684326710816777041942604856512141280353200883002207505518763796909492273730684326710816777041942604856512141280353200883002207505518763796909492273730684326710816777041942604856512141280353200883<222>
prime factors 素因数
126001435989403183219135379167874840004071748896498137850929954247156794377222028557580266023323<96>
1646850427809793229191948474389108671773311936309653606532868945711316851441103563356348364239645093160005443075599010128995721<127>
factorization results 素因数分解の結果
Number: n
N=207505518763796909492273730684326710816777041942604856512141280353200883002207505518763796909492273730684326710816777041942604856512141280353200883002207505518763796909492273730684326710816777041942604856512141280353200883
  ( 222 digits)
SNFS difficulty: 223 digits.
Divisors found:

Tue Jul 10 18:16:49 2018  p96 factor: 126001435989403183219135379167874840004071748896498137850929954247156794377222028557580266023323
Tue Jul 10 18:16:49 2018  p127 factor: 1646850427809793229191948474389108671773311936309653606532868945711316851441103563356348364239645093160005443075599010128995721
Tue Jul 10 18:16:49 2018  elapsed time 12:06:38 (Msieve 1.53 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.124).
Factorization parameters were as follows:
#
# 94x10^222-1 = 313(222)
#
n: 207505518763796909492273730684326710816777041942604856512141280353200883002207505518763796909492273730684326710816777041942604856512141280353200883002207505518763796909492273730684326710816777041942604856512141280353200883
m: 10000000000000000000000000000000000000
deg: 6
c6: 94
c0: -1
skew: 0.47
# Murphy_E = 1.683e-12
type: snfs
lss: 1
rlim: 38000000
alim: 38000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 38000000/38000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 106200000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 14557077 hash collisions in 71736107 relations (57694273 unique)
Msieve: matrix is 5286241 x 5286466 (1500.1 MB)

Sieving start time: 2018/07/07 09:42:19
Sieving end time  : 2018/07/10 06:07:53

Total sieving time: 68hrs 25min 34secs.

Total relation processing time: 11hrs 34min 53sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 47sec.

Prototype def-par.txt line would be:
snfs,223,6,0,0,0,0,0,0,0,0,38000000,38000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.036000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16286680K/16703460K available (12300K kernel code, 2470K rwdata, 4240K rodata, 2408K init, 2416K bss, 416780K reserved, 0K cma-reserved)
[    0.068657] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.50 BogoMIPS (lpj=11977000)
[    0.066215] smpboot: Total of 16 processors activated (95816.00 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 18:02:43 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 43 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:59 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 59 秒 (日本時間)

94×10223-13

c225

name 名前NFS@Home + Victor de Hollander
date 日付March 24, 2016 09:12:24 UTC 2016 年 3 月 24 日 (木) 18 時 12 分 24 秒 (日本時間)
composite number 合成数
313333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<225>
prime factors 素因数
1052772858839127625389208993845564243546872425259431579107345255419890439450300685383709542020768000672970081887<112>
297626720429362104780882120427617928824514443402293951099056617318006222994815246646967306819704484029048689146059<114>
factorization results 素因数分解の結果
prp112 factor: 1052772858839127625389208993845564243546872425259431579107345255419890439450300685383709542020768000672970081887
prp114 factor: 297626720429362104780882120427617928824514443402293951099056617318006222994815246646967306819704484029048689146059
software ソフトウェア
ggnfs-lasieve4I14e on the NFS@Home grid + msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:44 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 44 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:03:00 UTC 2014 年 12 月 20 日 (土) 10 時 3 分 0 秒 (日本時間)
4511e630002000Serge BatalovDecember 20, 2014 04:01:58 UTC 2014 年 12 月 20 日 (土) 13 時 1 分 58 秒 (日本時間)
1000Serge BatalovDecember 21, 2014 10:24:35 UTC 2014 年 12 月 21 日 (日) 19 時 24 分 35 秒 (日本時間)
5043e693362000Serge BatalovDecember 21, 2014 12:18:35 UTC 2014 年 12 月 21 日 (日) 21 時 18 分 35 秒 (日本時間)
7336Lionel DebrouxMarch 8, 2016 18:11:53 UTC 2016 年 3 月 9 日 (水) 3 時 11 分 53 秒 (日本時間)

94×10224-13

c201

name 名前Cyp
date 日付January 1, 2015 01:56:50 UTC 2015 年 1 月 1 日 (木) 10 時 56 分 50 秒 (日本時間)
composite number 合成数
349662636274591818136407298895538361436540436389481258088199987164109590535890219792026853274572007462393192938900115269997678376775688772856221126252616316914505929940663855073740062932857892968756617<201>
prime factors 素因数
232546514013494948968021824199570511765429<42>
1503624501781611235925889711615703163544662188407069856917742604740886098111927632044804737535272732292959977822485926914170608967530186554741029749727819520773<160>
factorization results 素因数分解の結果
Run 144 out of 242:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3230575603
Step 1 took 68772ms
Step 2 took 20781ms
********** Factor found in step 2: 232546514013494948968021824199570511765429
Found probable prime factor of 42 digits: 232546514013494948968021824199570511765429
Probable prime cofactor 1503624501781611235925889711615703163544662188407069856917742604740886098111927632044804737535272732292959977822485926914170608967530186554741029749727819520773 has 160 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 / 1821300Serge BatalovDecember 20, 2014 21:19:45 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 45 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:28 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 28 秒 (日本時間)
4511e6144 / 4342CypJanuary 1, 2015 01:56:50 UTC 2015 年 1 月 1 日 (木) 10 時 56 分 50 秒 (日本時間)

94×10225-13

c211

name 名前Serge Batalov
date 日付December 21, 2014 01:51:59 UTC 2014 年 12 月 21 日 (日) 10 時 51 分 59 秒 (日本時間)
composite number 合成数
2004131866940293665662589918091281347744404752399949325425172736727258199698734758336755791239825584031328352148126719888200017309801257058641825581447613369871656857727634881974899726571952869302024805634982591<211>
prime factors 素因数
12763236688764906185682565819967<32>
composite cofactor 合成数の残り
157023795437756845682097080970128583707711267744857615067136785710049841323771096405511221983805674222748931640423286801406698890441955205896183607918020912451195531054765277875073<180>
factorization results 素因数分解の結果
Input number is 2004131866940293665662589918091281347744404752399949325425172736727258199698734758336755791239825584031328352148126719888200017309801257058641825581447613369871656857727634881974899726571952869302024805634982591 (211 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3771748853
Step 1 took 15676ms
Step 2 took 10280ms
********** Factor found in step 2: 12763236688764906185682565819967
Found probable prime factor of 32 digits: 12763236688764906185682565819967
Composite cofactor 157023795437756845682097080970128583707711267744857615067136785710049841323771096405511221983805674222748931640423286801406698890441955205896183607918020912451195531054765277875073 has 180 digits

c180

name 名前Youcef Lemsafer
date 日付February 2, 2015 09:04:04 UTC 2015 年 2 月 2 日 (月) 18 時 4 分 4 秒 (日本時間)
composite number 合成数
157023795437756845682097080970128583707711267744857615067136785710049841323771096405511221983805674222748931640423286801406698890441955205896183607918020912451195531054765277875073<180>
prime factors 素因数
2936702965475325286611876091523701559642843<43>
111416557746375141001449560509243362916074314761<48>
479905483277019626317225967351635017711131755779346226933605768882945943622564613906425851<90>
factorization results 素因数分解の結果
GMP-ECM 7.0-dev [configured with MPIR 2.7.0, --enable-gpu, --enable-openmp] [ECM]
Input number is (94*10^225-1)/(3*19*31*263*1433*70430873*12763236688764906185682565819967) (180 digits)
Using MODMULN [mulredc:0, sqrredc:1]
Computing batch product (of zu bits) of primes below B1=0 took 0ms
GPU: compiled for a NVIDIA GPU with compute capability 3.0.
GPU: device 0 is required.
GPU: will use device 0: GeForce GTX 760, compute capability 3.0, 6 MPs.
GPU: Selection and initialization of the device took 0ms
Using B1=11000000, B2=0, sigma=3:2751718992-3:2751719759 (768 curves)
dF=0, k=0, d=11, d2=0, i0=0
Expected number of curves to find a factor of n digits:
35  40      45      50      55      60      65      70      75      80
1683    12398   103007  951342  9649550 1.1e+008        1.1e+009        1.4e+011        Inf     Inf
Computing 768 Step 1 took 120776ms of CPU time / 5985015ms of GPU time
Throughput: 0.128 curves by second (on average 7792.99ms by Step 1)
Expected time to find a factor of n digits:
35       40      45      50      55      60      65      70      75      80
3.64h   1.12d   9.29d   85.80d  2.38y   26.61y  276.75y 35750y  Inf     Inf
Resuming ECM residue saved by *******@***** with GMP-ECM 7.0-dev on Mon Feb 02 03:13:54 2015 
Input number is (94*10^225-1)/(3*19*31*263*1433*70430873*12763236688764906185682565819967) (180 digits)
[Mon Feb 02 03:13:55 2015]
Using MODMULN [mulredc:0, sqrredc:1]
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2751719373
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
142     814     5429    41283   352042  3301461 3.4e+007        3.9e+008        4.8e+009        6e+010
Step 1 took 0ms
Using 22 small primes for NTT
Estimated memory usage: 123M
Initializing tables of differences for F took 62ms
Computing roots of F took 2137ms
Building F from its roots took 2527ms
Computing 1/F took 1810ms
Initializing table of differences for G took 47ms
Computing roots of G took 1825ms
Building G from its roots took 2558ms
Computing roots of G took 1856ms
Building G from its roots took 2605ms
Computing G * H took 1014ms
Reducing  G * H mod F took 874ms
Computing roots of G took 1856ms
Building G from its roots took 2590ms
Computing G * H took 1108ms
Reducing  G * H mod F took 827ms
Computing polyeval(F,G) took 5054ms
Computing product of all F(g_i) took 31ms
Step 2 took 28969ms
********** Factor found in step 2: 111416557746375141001449560509243362916074314761
Found probable prime factor of 48 digits: 111416557746375141001449560509243362916074314761
Composite cofactor ((94*10^225-1)/(3*19*31*263*1433*70430873*12763236688764906185682565819967))/111416557746375141001449560509243362916074314761 has 133 digits
Resuming ECM residue saved by *******@***** with GMP-ECM 7.0-dev on Mon Feb 02 03:13:54 2015 
Input number is (94*10^225-1)/(3*19*31*263*1433*70430873*12763236688764906185682565819967) (180 digits)
[Mon Feb 02 03:22:35 2015]
Using MODMULN [mulredc:0, sqrredc:1]
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2751719162
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
142     814     5429    41283   352042  3301461 3.4e+007        3.9e+008        4.8e+009        6e+010
Step 1 took 0ms
Using 22 small primes for NTT
Estimated memory usage: 123M
Initializing tables of differences for F took 62ms
Computing roots of F took 2153ms
Building F from its roots took 2511ms
Computing 1/F took 2169ms
Initializing table of differences for G took 47ms
Computing roots of G took 1840ms
Building G from its roots took 2606ms
Computing roots of G took 1825ms
Building G from its roots took 2528ms
Computing G * H took 952ms
Reducing  G * H mod F took 1326ms
Computing roots of G took 1810ms
Building G from its roots took 2605ms
Computing G * H took 968ms
Reducing  G * H mod F took 1201ms
Computing polyeval(F,G) took 5444ms
Computing product of all F(g_i) took 31ms
Step 2 took 30233ms
********** Factor found in step 2: 2936702965475325286611876091523701559642843
Found probable prime factor of 43 digits: 2936702965475325286611876091523701559642843
Composite cofactor ((94*10^225-1)/(3*19*31*263*1433*70430873*12763236688764906185682565819967))/2936702965475325286611876091523701559642843 has 137 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)
403e62092300Serge BatalovDecember 20, 2014 21:19:46 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 46 秒 (日本時間)
1792Youcef LemsaferJanuary 30, 2015 06:58:22 UTC 2015 年 1 月 30 日 (金) 15 時 58 分 22 秒 (日本時間)
4511e6768 / 4013Youcef LemsaferFebruary 2, 2015 08:57:18 UTC 2015 年 2 月 2 日 (月) 17 時 57 分 18 秒 (日本時間)

94×10227-13

c198

composite cofactor 合成数の残り
904988710320000949783408854950462210621902643359796805432810117790607891594646765829632672943266515138092700711971496032333633118798926920276357461568493929339488650567662267022769747930447259373949<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)
403e62392300Serge BatalovDecember 20, 2014 21:19:46 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 46 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:28 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 28 秒 (日本時間)
1792Youcef LemsaferJanuary 30, 2015 06:58:50 UTC 2015 年 1 月 30 日 (金) 15 時 58 分 50 秒 (日本時間)
4511e6768 / 3946Youcef LemsaferFebruary 2, 2015 09:05:14 UTC 2015 年 2 月 2 日 (月) 18 時 5 分 14 秒 (日本時間)

94×10228-13

c217

name 名前Youcef Lemsafer
date 日付January 30, 2015 07:04:29 UTC 2015 年 1 月 30 日 (金) 16 時 4 分 29 秒 (日本時間)
composite number 合成数
7732927649226874326832921241778232344949068446750942188839336482875117847547091547866121740561224895744882765264803372034047321560629082381475483329572151685700143072882496683730957057023450387083688359301920653207681<217>
prime factors 素因数
66955057402541921487891433032413277107<38>
composite cofactor 合成数の残り
115494302435372072098969137865659265962987637616621745065527968841343814676469185814280926832342329935612089978850964803397099563401465654725675743989681227274529469568259593695483<180>
factorization results 素因数分解の結果
GMP-ECM 7.0-dev [configured with MPIR 2.7.0, --enable-gpu, --enable-openmp] [ECM]
Input number is (94*10^228-1)/(3*4051936699093) (217 digits)
Using MODMULN [mulredc:0, sqrredc:1]
Computing batch product (of zu bits) of primes below B1=0 took 0ms
GPU: compiled for a NVIDIA GPU with compute capability 3.0.
GPU: device 0 is required.
GPU: will use device 0: GeForce GTX 760, compute capability 3.0, 6 MPs.
GPU: Selection and initialization of the device took 16ms
Using B1=3000000, B2=0, sigma=3:3472558977-3:3472560768 (1792 curves)
dF=0, k=0, d=0, d2=0, i0=0
Expected number of curves to find a factor of n digits:
35     40      45      50      55      60      65      70      75      80
5388    51440   559187  6813685 9.3e+007        1.2e+009        5.4e+010        Inf     Inf     Inf
Computing 1792 Step 1 took 40357ms of CPU time / 4085037ms of GPU time
Throughput: 0.439 curves by second (on average 2279.60ms by Step 1)
Expected time to find a factor of n digits:
35       40      45      50      55      60      65      70      75      80
3.41h   1.36d   14.75d  179.73d 6.70y   87.12y  3873y   Inf     Inf     Inf
Resuming ECM residue saved by *******@***** with GMP-ECM 7.0-dev on Fri Jan 30 03:18:37 2015 
Input number is (94*10^228-1)/(3*4051936699093) (217 digits)
[Fri Jan 30 03:25:48 2015]
Using MODMULN [mulredc:0, sqrredc:1]
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3472559858
dF=16384, k=2, d=158340, d2=11, i0=8
Expected number of curves to find a factor of n digits:
35   40      45      50      55      60      65      70      75      80
389     2872    25127   252850  2853276 3.6e+007        5.1e+008        7.8e+009        1.8e+011        2.3e+016
Step 1 took 0ms
Using 26 small primes for NTT
Estimated memory usage: 71M
Initializing tables of differences for F took 16ms
Computing roots of F took 639ms
Building F from its roots took 1373ms
Computing 1/F took 764ms
Initializing table of differences for G took 16ms
Computing roots of G took 561ms
Building G from its roots took 1436ms
Computing roots of G took 546ms
Building G from its roots took 1435ms
Computing G * H took 422ms
Reducing  G * H mod F took 421ms
Computing polyeval(F,G) took 2621ms
Computing product of all F(g_i) took 15ms
Step 2 took 10343ms
********** Factor found in step 2: 66955057402541921487891433032413277107
Found probable prime factor of 38 digits: 66955057402541921487891433032413277107
Composite cofactor ((94*10^228-1)/(3*4051936699093))/66955057402541921487891433032413277107 has 180 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)
403e62392300Serge BatalovDecember 20, 2014 21:19:46 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 46 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:28 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 28 秒 (日本時間)
1792Youcef LemsaferJanuary 30, 2015 06:59:38 UTC 2015 年 1 月 30 日 (金) 15 時 59 分 38 秒 (日本時間)
4511e6768 / 3946Youcef LemsaferFebruary 2, 2015 09:05:49 UTC 2015 年 2 月 2 日 (月) 18 時 5 分 49 秒 (日本時間)

94×10229-13

c231

name 名前Serge Batalov
date 日付December 20, 2014 01:35:22 UTC 2014 年 12 月 20 日 (土) 10 時 35 分 22 秒 (日本時間)
composite number 合成数
313333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<231>
prime factors 素因数
13749536293851180562865488475986391989<38>
22788647314124812404359204475111459340327444279449645122325166418755637707960918087738325861176610741922884776758273546378964451302127974378166927876531451070804152385351679952475124719414353697<194>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3170016608
Step 1 took 18055ms
Step 2 took 11752ms
********** Factor found in step 2: 13749536293851180562865488475986391989
Found probable prime factor of 38 digits: 13749536293851180562865488475986391989
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 18:02:46 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)

94×10230-13

c221

composite cofactor 合成数の残り
67083967466204285950544447154437143381565166364480865543412225842311445092238081028827010823182502403372181306987646729100342535303160522927774301496455965064046763355120541784401863689065828549984736312446002859884321303<221>

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)
403e62392300Serge BatalovDecember 20, 2014 21:19:47 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 47 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:29 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 29 秒 (日本時間)
1792Youcef LemsaferJanuary 30, 2015 07:07:19 UTC 2015 年 1 月 30 日 (金) 16 時 7 分 19 秒 (日本時間)
4511e6768 / 3946Youcef LemsaferFebruary 2, 2015 09:06:34 UTC 2015 年 2 月 2 日 (月) 18 時 6 分 34 秒 (日本時間)

94×10231-13

c191

name 名前Youcef Lemsafer
date 日付February 2, 2015 20:22:49 UTC 2015 年 2 月 3 日 (火) 5 時 22 分 49 秒 (日本時間)
composite number 合成数
21505749097720930955022210585361231368471196190985813632575279503489942119303473111189549377440736036840001554048902376213926595754566749869821362147802131246679287458997933496328818494058389<191>
prime factors 素因数
18740404358793507180002586439690431990784421<44>
composite cofactor 合成数の残り
1147560569451098788488313307588581667560989949131857110219189945263737372522153031717620268529336464559633850802888484056300910838309061455083426609<148>
factorization results 素因数分解の結果
GMP-ECM 7.0-dev [configured with MPIR 2.7.0, --enable-gpu, --enable-openmp] [ECM]
Input number is (94*10^231-1)/(3*45533194490787005021*31998078818901703954357) (191 digits)
Using MODMULN [mulredc:0, sqrredc:1]
Computing batch product (of zu bits) of primes below B1=0 took 0ms
GPU: compiled for a NVIDIA GPU with compute capability 3.0.
GPU: device 0 is required.
GPU: will use device 0: GeForce GTX 760, compute capability 3.0, 6 MPs.
GPU: Selection and initialization of the device took 0ms
Using B1=11000000, B2=0, sigma=3:1728719808-3:1728720575 (768 curves)
dF=0, k=0, d=9372208, d2=0, i0=0
Expected number of curves to find a factor of n digits:
35 40      45      50      55      60      65      70      75      80
1683    12398   103007  951342  9649550 1.1e+008        1.1e+009        1.4e+011        Inf     Inf
Computing 768 Step 1 took 120526ms of CPU time / 6007123ms of GPU time
Throughput: 0.128 curves by second (on average 7821.77ms by Step 1)
Expected time to find a factor of n digits:
35       40      45      50      55      60      65      70      75      80
3.66h   1.12d   9.32d   86.12d  2.39y   26.71y  277.78y 35883y  Inf     Inf
Resuming ECM residue saved by *******@***** with GMP-ECM 7.0-dev on Mon Feb 02 09:53:23 2015 
Input number is (94*10^231-1)/(3*45533194490787005021*31998078818901703954357) (191 digits)
[Mon Feb 02 11:26:54 2015]
Using MODMULN [mulredc:0, sqrredc:1]
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1728720398
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
142     814     5429    41283   352042  3301461 3.4e+007        3.9e+008        4.8e+009        6e+010
Step 1 took 0ms
Using 23 small primes for NTT
Estimated memory usage: 125M
Initializing tables of differences for F took 47ms
Computing roots of F took 2152ms
Building F from its roots took 2620ms
Computing 1/F took 2496ms
Initializing table of differences for G took 63ms
Computing roots of G took 1809ms
Building G from its roots took 2699ms
Computing roots of G took 1826ms
Building G from its roots took 2745ms
Computing G * H took 1373ms
Reducing  G * H mod F took 1201ms
Computing roots of G took 1809ms
Building G from its roots took 2699ms
Computing G * H took 1108ms
Reducing  G * H mod F took 1279ms
Computing polyeval(F,G) took 5476ms
Computing product of all F(g_i) took 31ms
Step 2 took 31559ms
********** Factor found in step 2: 18740404358793507180002586439690431990784421
Found probable prime factor of 44 digits: 18740404358793507180002586439690431990784421
Composite cofactor ((94*10^231-1)/(3*45533194490787005021*31998078818901703954357))/18740404358793507180002586439690431990784421 has 148 digits

c148

name 名前Youcef Lemsafer
date 日付March 9, 2015 19:33:01 UTC 2015 年 3 月 10 日 (火) 4 時 33 分 1 秒 (日本時間)
composite number 合成数
1147560569451098788488313307588581667560989949131857110219189945263737372522153031717620268529336464559633850802888484056300910838309061455083426609<148>
prime factors 素因数
1093821800461782736397053950579569433426706679883872199698453646869<67>
1049129363637320960428262962276526852438881411600848997560099321396343916518380461<82>
factorization results 素因数分解の結果
<Polynomial search using msieve v. 1.53 (SVN 975M) on Intel Core i7 5820K: 32 thread.hours>
<Sieving from 12e6 to 30.3e6 using gnfs-lasieve4I14e on various hosts: ~1240 thread.hours>

<Post-processing on Intel Core i7 5820K>

Mon Mar 09 09:21:56 2015  
Mon Mar 09 09:21:56 2015  
Mon Mar 09 09:21:56 2015  Msieve v. 1.53 (SVN 975M)
Mon Mar 09 09:21:56 2015  random seeds: 4e407888 ad1c7b67
Mon Mar 09 09:21:56 2015  factoring 1147560569451098788488313307588581667560989949131857110219189945263737372522153031717620268529336464559633850802888484056300910838309061455083426609 (148 digits)
Mon Mar 09 09:21:57 2015  searching for 15-digit factors
Mon Mar 09 09:21:58 2015  commencing number field sieve (148-digit input)
Mon Mar 09 09:21:58 2015  R0: -20632671869064449632614602691
Mon Mar 09 09:21:58 2015  R1: 13199771356849447
Mon Mar 09 09:21:58 2015  A0: -14459952432536820071554086816974951420
Mon Mar 09 09:21:58 2015  A1: 42019742995023278532492083372180
Mon Mar 09 09:21:58 2015  A2: -22940717736970526445988267
Mon Mar 09 09:21:58 2015  A3: -7374735955331144282
Mon Mar 09 09:21:58 2015  A4: 1515140232864
Mon Mar 09 09:21:58 2015  A5: 306900
Mon Mar 09 09:21:58 2015  skew 3155270.58, size 2.467e-014, alpha -8.168, combined = 7.172e-012 rroots = 5
Mon Mar 09 09:21:58 2015  
Mon Mar 09 09:21:58 2015  commencing relation filtering
Mon Mar 09 09:21:58 2015  setting target matrix density to 128.0
Mon Mar 09 09:21:58 2015  estimated available RAM is 65426.9 MB
Mon Mar 09 09:21:58 2015  commencing duplicate removal, pass 1
Mon Mar 09 09:25:46 2015  error -1 reading relation 25118128
Mon Mar 09 09:25:47 2015  error -9 reading relation 25220098
Mon Mar 09 09:25:47 2015  error -15 reading relation 25269315
Mon Mar 09 09:25:48 2015  error -9 reading relation 25320975
Mon Mar 09 09:25:48 2015  error -9 reading relation 25371825
Mon Mar 09 09:29:28 2015  error -15 reading relation 49944053
Mon Mar 09 09:29:28 2015  error -1 reading relation 49944561
Mon Mar 09 09:29:28 2015  error -15 reading relation 49944850
Mon Mar 09 09:29:28 2015  error -9 reading relation 49944891
Mon Mar 09 09:29:28 2015  error -15 reading relation 49944931
Mon Mar 09 09:30:25 2015  skipped 1 relations with composite factors
Mon Mar 09 09:30:25 2015  found 8148369 hash collisions in 56940235 relations
Mon Mar 09 09:30:53 2015  added 121516 free relations
Mon Mar 09 09:30:53 2015  commencing duplicate removal, pass 2
Mon Mar 09 09:31:18 2015  found 6784201 duplicates and 50277550 unique relations
Mon Mar 09 09:31:18 2015  memory use: 330.4 MB
Mon Mar 09 09:31:18 2015  reading ideals above 720000
Mon Mar 09 09:31:18 2015  commencing singleton removal, initial pass
Mon Mar 09 09:37:02 2015  memory use: 1378.0 MB
Mon Mar 09 09:37:02 2015  reading all ideals from disk
Mon Mar 09 09:37:03 2015  memory use: 1748.9 MB
Mon Mar 09 09:37:07 2015  keeping 45081758 ideals with weight <= 200, target excess is 268585
Mon Mar 09 09:37:11 2015  commencing in-memory singleton removal
Mon Mar 09 09:37:15 2015  begin with 50277550 relations and 45081758 unique ideals
Mon Mar 09 09:37:46 2015  reduce to 32134820 relations and 25126117 ideals in 12 passes
Mon Mar 09 09:37:46 2015  max relations containing the same ideal: 155
Mon Mar 09 09:37:59 2015  removing 4278619 relations and 3278619 ideals in 1000000 cliques
Mon Mar 09 09:38:00 2015  commencing in-memory singleton removal
Mon Mar 09 09:38:01 2015  begin with 27856201 relations and 25126117 unique ideals
Mon Mar 09 09:38:17 2015  reduce to 27415671 relations and 21390428 ideals in 8 passes
Mon Mar 09 09:38:17 2015  max relations containing the same ideal: 140
Mon Mar 09 09:38:28 2015  removing 3388570 relations and 2388570 ideals in 1000000 cliques
Mon Mar 09 09:38:29 2015  commencing in-memory singleton removal
Mon Mar 09 09:38:30 2015  begin with 24027101 relations and 21390428 unique ideals
Mon Mar 09 09:38:42 2015  reduce to 23714525 relations and 18677934 ideals in 7 passes
Mon Mar 09 09:38:42 2015  max relations containing the same ideal: 126
Mon Mar 09 09:38:51 2015  removing 3147374 relations and 2147374 ideals in 1000000 cliques
Mon Mar 09 09:38:52 2015  commencing in-memory singleton removal
Mon Mar 09 09:38:53 2015  begin with 20567151 relations and 18677934 unique ideals
Mon Mar 09 09:39:02 2015  reduce to 20274729 relations and 16226789 ideals in 7 passes
Mon Mar 09 09:39:02 2015  max relations containing the same ideal: 112
Mon Mar 09 09:39:10 2015  removing 3036322 relations and 2036322 ideals in 1000000 cliques
Mon Mar 09 09:39:11 2015  commencing in-memory singleton removal
Mon Mar 09 09:39:12 2015  begin with 17238407 relations and 16226789 unique ideals
Mon Mar 09 09:39:20 2015  reduce to 16939128 relations and 13878267 ideals in 7 passes
Mon Mar 09 09:39:20 2015  max relations containing the same ideal: 104
Mon Mar 09 09:39:26 2015  removing 2972577 relations and 1972577 ideals in 1000000 cliques
Mon Mar 09 09:39:27 2015  commencing in-memory singleton removal
Mon Mar 09 09:39:28 2015  begin with 13966551 relations and 13878267 unique ideals
Mon Mar 09 09:39:36 2015  reduce to 13638161 relations and 11560481 ideals in 9 passes
Mon Mar 09 09:39:36 2015  max relations containing the same ideal: 87
Mon Mar 09 09:39:41 2015  removing 2935573 relations and 1935573 ideals in 1000000 cliques
Mon Mar 09 09:39:42 2015  commencing in-memory singleton removal
Mon Mar 09 09:39:42 2015  begin with 10702588 relations and 11560481 unique ideals
Mon Mar 09 09:39:47 2015  reduce to 10316497 relations and 9214340 ideals in 7 passes
Mon Mar 09 09:39:47 2015  max relations containing the same ideal: 74
Mon Mar 09 09:39:51 2015  removing 2403805 relations and 1613207 ideals in 790598 cliques
Mon Mar 09 09:39:51 2015  commencing in-memory singleton removal
Mon Mar 09 09:39:52 2015  begin with 7912692 relations and 9214340 unique ideals
Mon Mar 09 09:39:55 2015  reduce to 7562049 relations and 7226610 ideals in 8 passes
Mon Mar 09 09:39:55 2015  max relations containing the same ideal: 59
Mon Mar 09 09:39:58 2015  removing 142507 relations and 118627 ideals in 23880 cliques
Mon Mar 09 09:39:58 2015  commencing in-memory singleton removal
Mon Mar 09 09:39:58 2015  begin with 7419542 relations and 7226610 unique ideals
Mon Mar 09 09:40:01 2015  reduce to 7417850 relations and 7106283 ideals in 5 passes
Mon Mar 09 09:40:01 2015  max relations containing the same ideal: 58
Mon Mar 09 09:40:02 2015  relations with 0 large ideals: 873
Mon Mar 09 09:40:02 2015  relations with 1 large ideals: 4774
Mon Mar 09 09:40:02 2015  relations with 2 large ideals: 63606
Mon Mar 09 09:40:02 2015  relations with 3 large ideals: 370240
Mon Mar 09 09:40:02 2015  relations with 4 large ideals: 1112512
Mon Mar 09 09:40:02 2015  relations with 5 large ideals: 1918976
Mon Mar 09 09:40:02 2015  relations with 6 large ideals: 2016728
Mon Mar 09 09:40:02 2015  relations with 7+ large ideals: 1930141
Mon Mar 09 09:40:02 2015  commencing 2-way merge
Mon Mar 09 09:40:05 2015  reduce to 4777132 relation sets and 4465565 unique ideals
Mon Mar 09 09:40:05 2015  commencing full merge
Mon Mar 09 09:41:36 2015  memory use: 606.4 MB
Mon Mar 09 09:41:37 2015  found 2129081 cycles, need 2113765
Mon Mar 09 09:41:37 2015  weight of 2113765 cycles is about 270822191 (128.12/cycle)
Mon Mar 09 09:41:37 2015  distribution of cycle lengths:
Mon Mar 09 09:41:37 2015  1 relations: 46170
Mon Mar 09 09:41:37 2015  2 relations: 101426
Mon Mar 09 09:41:37 2015  3 relations: 131029
Mon Mar 09 09:41:37 2015  4 relations: 142148
Mon Mar 09 09:41:37 2015  5 relations: 153045
Mon Mar 09 09:41:37 2015  6 relations: 153313
Mon Mar 09 09:41:37 2015  7 relations: 153840
Mon Mar 09 09:41:37 2015  8 relations: 148664
Mon Mar 09 09:41:37 2015  9 relations: 140938
Mon Mar 09 09:41:37 2015  10+ relations: 943192
Mon Mar 09 09:41:37 2015  heaviest cycle: 28 relations
Mon Mar 09 09:41:37 2015  commencing cycle optimization
Mon Mar 09 09:41:40 2015  start with 20291622 relations
Mon Mar 09 09:42:23 2015  pruned 1066546 relations
Mon Mar 09 09:42:23 2015  memory use: 514.7 MB
Mon Mar 09 09:42:23 2015  distribution of cycle lengths:
Mon Mar 09 09:42:23 2015  1 relations: 46170
Mon Mar 09 09:42:23 2015  2 relations: 104381
Mon Mar 09 09:42:23 2015  3 relations: 137538
Mon Mar 09 09:42:23 2015  4 relations: 149091
Mon Mar 09 09:42:23 2015  5 relations: 161891
Mon Mar 09 09:42:23 2015  6 relations: 162375
Mon Mar 09 09:42:23 2015  7 relations: 164026
Mon Mar 09 09:42:23 2015  8 relations: 157673
Mon Mar 09 09:42:23 2015  9 relations: 149262
Mon Mar 09 09:42:23 2015  10+ relations: 881358
Mon Mar 09 09:42:23 2015  heaviest cycle: 28 relations
Mon Mar 09 09:42:25 2015  RelProcTime: 1227
Mon Mar 09 09:42:25 2015  elapsed time 00:20:29
Mon Mar 09 09:43:14 2015  
Mon Mar 09 09:43:14 2015  
Mon Mar 09 09:43:14 2015  Msieve v. 1.53 (SVN 975M)
Mon Mar 09 09:43:14 2015  random seeds: 36c1d6c0 2e08ba59
Mon Mar 09 09:43:14 2015  factoring 1147560569451098788488313307588581667560989949131857110219189945263737372522153031717620268529336464559633850802888484056300910838309061455083426609 (148 digits)
Mon Mar 09 09:43:15 2015  searching for 15-digit factors
Mon Mar 09 09:43:16 2015  commencing number field sieve (148-digit input)
Mon Mar 09 09:43:16 2015  R0: -20632671869064449632614602691
Mon Mar 09 09:43:16 2015  R1: 13199771356849447
Mon Mar 09 09:43:16 2015  A0: -14459952432536820071554086816974951420
Mon Mar 09 09:43:16 2015  A1: 42019742995023278532492083372180
Mon Mar 09 09:43:16 2015  A2: -22940717736970526445988267
Mon Mar 09 09:43:16 2015  A3: -7374735955331144282
Mon Mar 09 09:43:16 2015  A4: 1515140232864
Mon Mar 09 09:43:16 2015  A5: 306900
Mon Mar 09 09:43:16 2015  skew 3155270.58, size 2.467e-014, alpha -8.168, combined = 7.172e-012 rroots = 5
Mon Mar 09 09:43:16 2015  
Mon Mar 09 09:43:16 2015  commencing linear algebra
Mon Mar 09 09:43:16 2015  read 2113765 cycles
Mon Mar 09 09:43:20 2015  cycles contain 7257308 unique relations
Mon Mar 09 09:44:04 2015  read 7257308 relations
Mon Mar 09 09:44:14 2015  using 20 quadratic characters above 536870730
Mon Mar 09 09:44:43 2015  building initial matrix
Mon Mar 09 09:46:04 2015  memory use: 1008.8 MB
Mon Mar 09 09:46:06 2015  read 2113765 cycles
Mon Mar 09 09:46:06 2015  matrix is 2113588 x 2113765 (1045.7 MB) with weight 328420083 (155.37/col)
Mon Mar 09 09:46:06 2015  sparse part has weight 248746417 (117.68/col)
Mon Mar 09 09:46:28 2015  filtering completed in 2 passes
Mon Mar 09 09:46:29 2015  matrix is 2113550 x 2113727 (1045.6 MB) with weight 328417814 (155.37/col)
Mon Mar 09 09:46:29 2015  sparse part has weight 248745602 (117.68/col)
Mon Mar 09 09:46:33 2015  matrix starts at (0, 0)
Mon Mar 09 09:46:34 2015  matrix is 2113550 x 2113727 (1045.6 MB) with weight 328417814 (155.37/col)
Mon Mar 09 09:46:34 2015  sparse part has weight 248745602 (117.68/col)
Mon Mar 09 09:46:34 2015  saving the first 48 matrix rows for later
Mon Mar 09 09:46:34 2015  matrix includes 128 packed rows
Mon Mar 09 09:46:35 2015  matrix is 2113502 x 2113727 (992.8 MB) with weight 284346342 (134.52/col)
Mon Mar 09 09:46:35 2015  sparse part has weight 234895477 (111.13/col)
Mon Mar 09 09:46:35 2015  using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
Mon Mar 09 09:46:45 2015  commencing Lanczos iteration (8 threads)
Mon Mar 09 09:46:45 2015  memory use: 827.6 MB
Mon Mar 09 09:46:50 2015  linear algebra at 0.1%, ETA 1h55m
Mon Mar 09 09:46:52 2015  checkpointing every 1050000 dimensions
Mon Mar 09 11:42:45 2015  lanczos halted after 33424 iterations (dim = 2113502)
Mon Mar 09 11:42:47 2015  recovered 34 nontrivial dependencies
Mon Mar 09 11:42:48 2015  BLanczosTime: 7172
Mon Mar 09 11:42:48 2015  
Mon Mar 09 11:42:48 2015  commencing square root phase
Mon Mar 09 11:42:48 2015  reading relations for dependency 1
Mon Mar 09 11:42:48 2015  read 1057393 cycles
Mon Mar 09 11:42:50 2015  cycles contain 3631546 unique relations
Mon Mar 09 11:43:15 2015  read 3631546 relations
Mon Mar 09 11:43:28 2015  multiplying 3631546 relations
Mon Mar 09 11:46:28 2015  multiply complete, coefficients have about 192.38 million bits
Mon Mar 09 11:46:29 2015  initial square root is modulo 8015221
Mon Mar 09 11:50:17 2015  GCD is 1, no factor found
Mon Mar 09 11:50:17 2015  reading relations for dependency 2
Mon Mar 09 11:50:17 2015  read 1056336 cycles
Mon Mar 09 11:50:19 2015  cycles contain 3628180 unique relations
Mon Mar 09 11:50:44 2015  read 3628180 relations
Mon Mar 09 11:50:57 2015  multiplying 3628180 relations
Mon Mar 09 11:53:56 2015  multiply complete, coefficients have about 192.20 million bits
Mon Mar 09 11:53:57 2015  initial square root is modulo 7896827
Mon Mar 09 11:57:50 2015  sqrtTime: 902
Mon Mar 09 11:57:50 2015  prp67 factor: 1093821800461782736397053950579569433426706679883872199698453646869
Mon Mar 09 11:57:50 2015  prp82 factor: 1049129363637320960428262962276526852438881411600848997560099321396343916518380461
Mon Mar 09 11:57:50 2015  elapsed time 02:14:36

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)
403e62392300Serge BatalovDecember 20, 2014 21:19:48 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 48 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:29 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 29 秒 (日本時間)
1792Youcef LemsaferJanuary 30, 2015 07:08:17 UTC 2015 年 1 月 30 日 (金) 16 時 8 分 17 秒 (日本時間)
4511e63594768Youcef LemsaferFebruary 2, 2015 20:20:26 UTC 2015 年 2 月 3 日 (火) 5 時 20 分 26 秒 (日本時間)
2826Youcef LemsaferFebruary 28, 2015 09:09:18 UTC 2015 年 2 月 28 日 (土) 18 時 9 分 18 秒 (日本時間)
5043e6400 / 6656Youcef LemsaferFebruary 28, 2015 09:09:18 UTC 2015 年 2 月 28 日 (土) 18 時 9 分 18 秒 (日本時間)

94×10232-13

c229

name 名前Serge Batalov
date 日付December 19, 2014 18:09:34 UTC 2014 年 12 月 20 日 (土) 3 時 9 分 34 秒 (日本時間)
composite number 合成数
4619323514813777378091629687507678396799889922503476778070990156909574285110544343048655236298054478532431090995759067879484798002879705935830716535703930847744148447366739887858550416967659821222351628802956367049480817521978643<229>
prime factors 素因数
82478442594981413665606245847927<32>
56006434766202174945619149869869603732063147218036897079250321437507288122617798251762380047692575194900396856374603141210485715329269546476664680347759784818115302735616806647121822198740622819909<197>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=1476304660
Step 1 took 6117ms
Step 2 took 3578ms
********** Factor found in step 2: 82478442594981413665606245847927
Found probable prime factor of 32 digits: 82478442594981413665606245847927
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 18:02:47 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 47 秒 (日本時間)

94×10233-13

c181

name 名前Youcef Lemsafer
date 日付February 2, 2015 20:25:48 UTC 2015 年 2 月 3 日 (火) 5 時 25 分 48 秒 (日本時間)
composite number 合成数
7946763024323277271512190426703430546552815206827463853808164477622464305624209035907004612099740043382055868685157465659079084857535944325558840852428643786081688151119931009170961<181>
prime factors 素因数
373919274080362498117614671719375263517<39>
21252616741589426327945384530680900590724848350117536928083743798558168562734960324675914795656081094960607761813715768608107884199686264089733<143>
factorization results 素因数分解の結果
GMP-ECM 7.0-dev [configured with MPIR 2.7.0, --enable-gpu, --enable-openmp] [ECM]
Input number is (94*10^233-1)/(3*7*4253*586727596577*2081336290923123503*10845364215948325153) (181 digits)
Using MODMULN [mulredc:0, sqrredc:1]
Computing batch product (of zu bits) of primes below B1=0 took 0ms
GPU: compiled for a NVIDIA GPU with compute capability 3.0.
GPU: device 0 is required.
GPU: will use device 0: GeForce GTX 760, compute capability 3.0, 6 MPs.
GPU: Selection and initialization of the device took 0ms
Using B1=11000000, B2=0, sigma=3:2079119873-3:2079120640 (768 curves)
dF=0, k=0, d=11, d2=0, i0=0
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
1683    12398   103007  951342  9649550 1.1e+008        1.1e+009        1.4e+011        Inf     Inf
Computing 768 Step 1 took 116783ms of CPU time / 6066384ms of GPU time
Throughput: 0.127 curves by second (on average 7898.94ms by Step 1)
Expected time to find a factor of n digits:
35       40      45      50      55      60      65      70      75      80
3.69h   1.13d   9.42d   86.96d  2.42y   26.97y  280.52y 36236y  Inf     Inf
Resuming ECM residue saved by *******@***** with GMP-ECM 7.0-dev on Mon Feb 02 11:34:32 2015 
Input number is (94*10^233-1)/(3*7*4253*586727596577*2081336290923123503*10845364215948325153) (181 digits)
[Mon Feb 02 12:49:24 2015]
Using MODMULN [mulredc:0, sqrredc:1]
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2079119900
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
142     814     5429    41283   352042  3301461 3.4e+007        3.9e+008        4.8e+009        6e+010
Step 1 took 16ms
Using 22 small primes for NTT
Estimated memory usage: 123M
Initializing tables of differences for F took 62ms
Computing roots of F took 2200ms
Building F from its roots took 2496ms
Computing 1/F took 1825ms
Initializing table of differences for G took 62ms
Computing roots of G took 1810ms
Building G from its roots took 2636ms
Computing roots of G took 1825ms
Building G from its roots took 2543ms
Computing G * H took 1248ms
Reducing  G * H mod F took 1295ms
Computing roots of G took 1841ms
Building G from its roots took 2605ms
Computing G * H took 1419ms
Reducing  G * H mod F took 1279ms
Computing polyeval(F,G) took 5273ms
Computing product of all F(g_i) took 16ms
Step 2 took 30607ms
********** Factor found in step 2: 373919274080362498117614671719375263517
Found probable prime factor of 39 digits: 373919274080362498117614671719375263517
Probable prime cofactor ((94*10^233-1)/(3*7*4253*586727596577*2081336290923123503*10845364215948325153))/373919274080362498117614671719375263517 has 143 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e62392300Serge BatalovDecember 20, 2014 21:19:48 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 48 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:29 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 29 秒 (日本時間)
1792Youcef LemsaferJanuary 30, 2015 07:10:15 UTC 2015 年 1 月 30 日 (金) 16 時 10 分 15 秒 (日本時間)
4511e6768 / 3946Youcef LemsaferFebruary 2, 2015 20:23:34 UTC 2015 年 2 月 3 日 (火) 5 時 23 分 34 秒 (日本時間)

94×10234-13

c226

name 名前Serge Batalov
date 日付December 21, 2014 01:52:02 UTC 2014 年 12 月 21 日 (日) 10 時 52 分 2 秒 (日本時間)
composite number 合成数
1580029751143641212311282182144744164164614714427870731838795842049868543633372213742303680944257788669138901869067217378264026113355689077127243844652217078128382161101233904465294027455430774551007912205710616776090258003149<226>
prime factors 素因数
6025592339497421024031639751<28>
composite cofactor 合成数の残り
262219822072368636535909238013908449803024581320790518286748846245556497442522267061028301882346455053151009955545649210227450318070310142310249855128483735298218497644999381628195359161267213117899<198>
factorization results 素因数分解の結果
Input number is 1580029751143641212311282182144744164164614714427870731838795842049868543633372213742303680944257788669138901869067217378264026113355689077127243844652217078128382161101233904465294027455430774551007912205710616776090258003149 (226 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4258512707
Step 1 took 18066ms
Step 2 took 11554ms
********** Factor found in step 2: 6025592339497421024031639751
Found probable prime factor of 28 digits: 6025592339497421024031639751
Composite cofactor 262219822072368636535909238013908449803024581320790518286748846245556497442522267061028301882346455053151009955545649210227450318070310142310249855128483735298218497644999381628195359161267213117899 has 198 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)
403e62092300Serge BatalovDecember 20, 2014 21:19:49 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 49 秒 (日本時間)
1792Youcef LemsaferJanuary 31, 2015 02:34:24 UTC 2015 年 1 月 31 日 (土) 11 時 34 分 24 秒 (日本時間)
4511e6768 / 4013Youcef LemsaferFebruary 2, 2015 20:26:37 UTC 2015 年 2 月 3 日 (火) 5 時 26 分 37 秒 (日本時間)

94×10235-13

c190

name 名前Serge Batalov
date 日付December 21, 2014 01:52:06 UTC 2014 年 12 月 21 日 (日) 10 時 52 分 6 秒 (日本時間)
composite number 合成数
5207380566102830997830228038205702603458804951154167407552086712006345262008793064236009455608391422342558650130731773362467951126505314045989463539790180605625327222090624581235050263665873<190>
prime factors 素因数
1939172440000898670951145684951687939<37>
composite cofactor 合成数の残り
2685362301302311072828956833203681326391037403509675168108755661186250297344419405855688859062551997929722249905798263771328799977202065628175339846487707<154>
factorization results 素因数分解の結果
Input number is 5207380566102830997830228038205702603458804951154167407552086712006345262008793064236009455608391422342558650130731773362467951126505314045989463539790180605625327222090624581235050263665873 (190 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1205760352
Step 1 took 13679ms
Step 2 took 9434ms
********** Factor found in step 2: 1939172440000898670951145684951687939
Found probable prime factor of 37 digits: 1939172440000898670951145684951687939
Composite cofactor 2685362301302311072828956833203681326391037403509675168108755661186250297344419405855688859062551997929722249905798263771328799977202065628175339846487707 has 154 digits

c154

name 名前yoyo@Home
date 日付March 16, 2021 13:47:52 UTC 2021 年 3 月 16 日 (火) 22 時 47 分 52 秒 (日本時間)
composite number 合成数
2685362301302311072828956833203681326391037403509675168108755661186250297344419405855688859062551997929722249905798263771328799977202065628175339846487707<154>
prime factors 素因数
85162693318278117083867967643791627155306273<44>
31532143907970590856990854655690104059826200238041893497301426486318075127396822340099532698052123778434931259<110>
factorization results 素因数分解の結果
GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 2685362301302311072828956833203681326391037403509675168108755661186250297344419405855688859062551997929722249905798263771328799977202065628175339846487707 (154 digits)
[Tue Mar 16 12:55:50 2021]
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=0:2385301377859274605
dF=65536, k=5, d=690690, d2=17, i0=46
Expected number of curves to find a factor of n digits:
35 40      45      50      55      60      65      70      75      80
55      246     1286    7557    49831   361851  2844041 2.4e+07 2.2e+08 2.2e+09
Writing checkpoint to checkpnt at p = 43000000
Step 1 took 138716ms
Using 19 small primes for NTT
Estimated memory usage: 213.50MB
Initializing tables of differences for F took 31ms
Computing roots of F took 2293ms
Building F from its roots took 2355ms
Computing 1/F took 1045ms
Initializing table of differences for G took 47ms
Computing roots of G took 1950ms
Building G from its roots took 2543ms
Computing roots of G took 2059ms
Building G from its roots took 2543ms
Computing G * H took 562ms
Reducing  G * H mod F took 593ms
Computing roots of G took 2043ms
Building G from its roots took 2606ms
Computing G * H took 593ms
Reducing  G * H mod F took 593ms
Computing roots of G took 2043ms
Building G from its roots took 2465ms
Computing G * H took 577ms
Reducing  G * H mod F took 577ms
Computing roots of G took 1888ms
Building G from its roots took 2433ms
Computing G * H took 484ms
Reducing  G * H mod F took 561ms
Computing polyeval(F,G) took 5055ms
Computing product of all F(g_i) took 15ms
Step 2 took 38142ms
********** Factor found in step 2: 85162693318278117083867967643791627155306273
Found prime factor of 44 digits: 85162693318278117083867967643791627155306273
Prime cofactor 31532143907970590856990854655690104059826200238041893497301426486318075127396822340099532698052123778434931259 has 110 digits
Peak memory usage: 301MB
software ソフトウェア
GMP-ECM 7.0.5-dev

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 21:19:49 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 49 秒 (日本時間)
4511e644162000Serge BatalovDecember 22, 2014 02:49:31 UTC 2014 年 12 月 22 日 (月) 11 時 49 分 31 秒 (日本時間)
400Serge BatalovJune 23, 2015 21:29:39 UTC 2015 年 6 月 24 日 (水) 6 時 29 分 39 秒 (日本時間)
2016Ignacio SantosFebruary 1, 2016 22:46:50 UTC 2016 年 2 月 2 日 (火) 7 時 46 分 50 秒 (日本時間)

94×10236-13

c201

composite cofactor 合成数の残り
723381807157470713610332692068321406614383357038670131307543845257170722561213967320634202097458640488722550573314866069157550805296354005532450861845941596157440351242980549129483847495437090950982037<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)
403e62392300Serge BatalovDecember 20, 2014 21:19:49 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 49 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:30 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 30 秒 (日本時間)
1792Youcef LemsaferJanuary 31, 2015 02:35:13 UTC 2015 年 1 月 31 日 (土) 11 時 35 分 13 秒 (日本時間)
4511e6768 / 3946Youcef LemsaferFebruary 2, 2015 20:27:26 UTC 2015 年 2 月 3 日 (火) 5 時 27 分 26 秒 (日本時間)

94×10238-13

c218

composite cofactor 合成数の残り
41693969954383327389440713516613694795614924219332759177207278932980701308544330880012743499578363010360800604723483452957681353844601025873027597174664629661939015279991291806963257882229008189469854748749484727642537<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)
403e62392300Serge BatalovDecember 20, 2014 21:19:50 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 50 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:30 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 30 秒 (日本時間)
1792Youcef LemsaferJanuary 31, 2015 02:35:43 UTC 2015 年 1 月 31 日 (土) 11 時 35 分 43 秒 (日本時間)
4511e6768 / 3946Youcef LemsaferFebruary 2, 2015 20:28:03 UTC 2015 年 2 月 3 日 (火) 5 時 28 分 3 秒 (日本時間)

94×10239-13

c240

name 名前Serge Batalov
date 日付December 19, 2014 18:16:46 UTC 2014 年 12 月 20 日 (土) 3 時 16 分 46 秒 (日本時間)
composite number 合成数
447619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619<240>
prime factors 素因数
157193375609651558044420189822181<33>
composite cofactor 合成数の残り
2847569408590040721888391063395260829710377261541052300250772746374435702582233354977475004923737033486728896239506894396974651348311878811888913745529340044912398665068827597333237237635600261223140448625799<208>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=2382038419
Step 1 took 7644ms
Step 2 took 5008ms
********** Factor found in step 2: 157193375609651558044420189822181
Found probable prime factor of 33 digits: 157193375609651558044420189822181
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 18:02:53 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 53 秒 (日本時間)
403e61792Youcef LemsaferJanuary 31, 2015 02:36:30 UTC 2015 年 1 月 31 日 (土) 11 時 36 分 30 秒 (日本時間)
4511e6768 / 4033Youcef LemsaferFebruary 2, 2015 20:28:33 UTC 2015 年 2 月 3 日 (火) 5 時 28 分 33 秒 (日本時間)

94×10240-13

c205

name 名前Serge Batalov
date 日付December 21, 2014 01:52:09 UTC 2014 年 12 月 21 日 (日) 10 時 52 分 9 秒 (日本時間)
composite number 合成数
2408576290758421715243758314926188292663127102146543858507467765844451100573381375224288537091286212194320458571002403510988683824312414534080108725859727821999261694269312805746772207715954002320335321357<205>
prime factors 素因数
225613384964095751467461606813151<33>
10675679951975030122850678092819401415266018032160109542168872471596736218711602314296502618690436209664670056577833781555367538875704441175523234508443125754773969389084307<173>
factorization results 素因数分解の結果
Input number is 2408576290758421715243758314926188292663127102146543858507467765844451100573381375224288537091286212194320458571002403510988683824312414534080108725859727821999261694269312805746772207715954002320335321357 (205 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=130892257
Step 1 took 16032ms
Step 2 took 10510ms
********** Factor found in step 2: 225613384964095751467461606813151
Found probable prime factor of 33 digits: 225613384964095751467461606813151
Probable prime cofactor 10675679951975030122850678092819401415266018032160109542168872471596736218711602314296502618690436209664670056577833781555367538875704441175523234508443125754773969389084307 has 173 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 21:19:50 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 50 秒 (日本時間)

94×10242-13

c230

name 名前Serge Batalov
date 日付December 21, 2014 01:52:13 UTC 2014 年 12 月 21 日 (日) 10 時 52 分 13 秒 (日本時間)
composite number 合成数
11610308272059081884827032577904468224860244123653271404535053770320295798091088189936628499896115556608759407840888092142949272088510723925766606530174525803180010322681261628562383910285414677533707150074988645956511067937214757<230>
prime factors 素因数
8804948297589984495107614009122007<34>
composite cofactor 合成数の残り
1318611748718269776117972835611846577461011677109720086545826702010255287916758024644220327738156264797846949499592251280363278527005064687917627689074117834292166904915610606107638648486294513251<196>
factorization results 素因数分解の結果
Input number is 11610308272059081884827032577904468224860244123653271404535053770320295798091088189936628499896115556608759407840888092142949272088510723925766606530174525803180010322681261628562383910285414677533707150074988645956511067937214757 (230 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=739544255
Step 1 took 18176ms
Step 2 took 11550ms
********** Factor found in step 2: 8804948297589984495107614009122007
Found probable prime factor of 34 digits: 8804948297589984495107614009122007
Composite cofactor 1318611748718269776117972835611846577461011677109720086545826702010255287916758024644220327738156264797846949499592251280363278527005064687917627689074117834292166904915610606107638648486294513251 has 196 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)
403e62092300Serge BatalovDecember 20, 2014 21:19:51 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 51 秒 (日本時間)
1792Youcef LemsaferJanuary 31, 2015 02:36:57 UTC 2015 年 1 月 31 日 (土) 11 時 36 分 57 秒 (日本時間)
4511e6768 / 4013Youcef LemsaferFebruary 3, 2015 07:00:15 UTC 2015 年 2 月 3 日 (火) 16 時 0 分 15 秒 (日本時間)

94×10243-13

c202

name 名前Serge Batalov
date 日付December 21, 2014 01:52:16 UTC 2014 年 12 月 21 日 (日) 10 時 52 分 16 秒 (日本時間)
composite number 合成数
6633118400715072015241733213837370394223428614033724642350435459807394522313483657597566027514544801265746772602905790520987577061811710824109362266282809292740922427508804124632444136307359008294534983<202>
prime factors 素因数
20727891678641243643871752367<29>
320009314191373982755177349053089948965937450187513781796360944620364838868978022786102847937154392873660296357541164399950168196547527692348247892981371604762196629206307049<174>
factorization results 素因数分解の結果
Input number is 6633118400715072015241733213837370394223428614033724642350435459807394522313483657597566027514544801265746772602905790520987577061811710824109362266282809292740922427508804124632444136307359008294534983 (202 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2242952375
Step 1 took 16088ms
Step 2 took 10546ms
********** Factor found in step 2: 20727891678641243643871752367
Found probable prime factor of 29 digits: 20727891678641243643871752367
Probable prime cofactor 320009314191373982755177349053089948965937450187513781796360944620364838868978022786102847937154392873660296357541164399950168196547527692348247892981371604762196629206307049 has 174 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 21:19:51 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 51 秒 (日本時間)

94×10246-13

c201

composite cofactor 合成数の残り
216365371407216340912460466338867516463276397074507032170297677537980213806191562097382816181671516570491950231473894912126416577070439088627245986391782089598416494454323753291458452874472481020087081<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)
403e62392300Serge BatalovDecember 20, 2014 21:19:51 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 51 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:30 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 30 秒 (日本時間)
1792Youcef LemsaferJanuary 31, 2015 02:37:34 UTC 2015 年 1 月 31 日 (土) 11 時 37 分 34 秒 (日本時間)
4511e6768 / 3946Youcef LemsaferFebruary 3, 2015 07:01:10 UTC 2015 年 2 月 3 日 (火) 16 時 1 分 10 秒 (日本時間)

94×10247-13

c234

name 名前Youcef Lemsafer
date 日付January 31, 2015 02:41:33 UTC 2015 年 1 月 31 日 (土) 11 時 41 分 33 秒 (日本時間)
composite number 合成数
122923066625205595634812691004099077712718843008764215387413382978876225572519336077535846780866985800082440030110233769656652025098531172784579607459002419666522104198292523519208389163439426892207241997032093977918166016741500805329<234>
prime factors 素因数
597153825685652202995154229803299577857<39>
composite cofactor 合成数の残り
205848244351554297441676227689939649994944297763642888043760884533164555498914361195528098931527320977389112878244157116962566647676293009806261621996482349007994375272769808458625355864849727697<195>
factorization results 素因数分解の結果
GMP-ECM 7.0-dev [configured with MPIR 2.7.0, --enable-gpu, --enable-openmp] [ECM]
Input number is (94*10^247-1)/(3*629819*4047225983) (234 digits)
Using MODMULN [mulredc:0, sqrredc:1]
Computing batch product (of zu bits) of primes below B1=0 took 0ms
GPU: compiled for a NVIDIA GPU with compute capability 3.0.
GPU: device 0 is required.
GPU: will use device 0: GeForce GTX 760, compute capability 3.0, 6 MPs.
GPU: Selection and initialization of the device took 46ms
Using B1=3000000, B2=0, sigma=3:24868711-3:24870502 (1792 curves)
dF=0, k=0, d=9044528, d2=0, i0=0
Expected number of curves to find a factor of n digits:
35       40      45      50      55      60      65      70      75      80
5388    51440   559187  6813685 9.3e+007        1.2e+009        5.4e+010        Inf     Inf     Inf
Computing 1792 Step 1 took 38345ms of CPU time / 4038278ms of GPU time
Throughput: 0.444 curves by second (on average 2253.50ms by Step 1)
Expected time to find a factor of n digits:
35       40      45      50      55      60      65      70      75      80
3.37h   1.34d   14.58d  177.68d 6.62y   86.13y  3828y   Inf     Inf     Inf
Resuming ECM residue saved by *******@***** with GMP-ECM 7.0-dev on Fri Jan 30 14:40:39 2015 
Input number is (94*10^247-1)/(3*629819*4047225983) (234 digits)
[Fri Jan 30 16:17:07 2015]
Using MODMULN [mulredc:0, sqrredc:1]
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:24869712
dF=16384, k=2, d=158340, d2=11, i0=8
Expected number of curves to find a factor of n digits:
35 40      45      50      55      60      65      70      75      80
389     2872    25127   252850  2853276 3.6e+007        5.1e+008        7.8e+009        1.8e+011        2.3e+016
Step 1 took 0ms
Using 28 small primes for NTT
Estimated memory usage: 76M
Initializing tables of differences for F took 31ms
Computing roots of F took 671ms
Building F from its roots took 1451ms
Computing 1/F took 780ms
Initializing table of differences for G took 16ms
Computing roots of G took 624ms
Building G from its roots took 1528ms
Computing roots of G took 624ms
Building G from its roots took 1545ms
Computing G * H took 452ms
Reducing  G * H mod F took 468ms
Computing polyeval(F,G) took 2793ms
Computing product of all F(g_i) took 15ms
Step 2 took 11060ms
********** Factor found in step 2: 597153825685652202995154229803299577857
Found probable prime factor of 39 digits: 597153825685652202995154229803299577857
Composite cofactor ((94*10^247-1)/(3*629819*4047225983))/597153825685652202995154229803299577857 has 195 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)
403e62392300Serge BatalovDecember 20, 2014 21:19:52 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 52 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:31 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 31 秒 (日本時間)
1792Youcef LemsaferJanuary 31, 2015 02:40:56 UTC 2015 年 1 月 31 日 (土) 11 時 40 分 56 秒 (日本時間)
4511e6768 / 3946Youcef LemsaferFebruary 3, 2015 07:01:56 UTC 2015 年 2 月 3 日 (火) 16 時 1 分 56 秒 (日本時間)

94×10249-13

c206

name 名前Youcef Lemsafer
date 日付January 31, 2015 02:44:35 UTC 2015 年 1 月 31 日 (土) 11 時 44 分 35 秒 (日本時間)
composite number 合成数
63831745766956175370051593345475415467958863683914504187608626068097242167951776684523124386379066214394059193808266471901608001980847591997361157777491244409146707349164500604300322278528631833767167866639<206>
prime factors 素因数
43752360736997751491980225177187789<35>
composite cofactor 合成数の残り
1458932608246186571747947825386721108916769755882897385931665383344515982885442944443213201623510322412080093086923440782844017420865293435848816072917293712063116693144651<172>
factorization results 素因数分解の結果
GMP-ECM 7.0-dev [configured with MPIR 2.7.0, --enable-gpu, --enable-openmp] [ECM]
Input number is (94*10^249-1)/(3*4088911*17384218970891*6905689306327575205510847) (206 digits)
Using MODMULN [mulredc:0, sqrredc:1]
Computing batch product (of zu bits) of primes below B1=0 took 0ms
GPU: compiled for a NVIDIA GPU with compute capability 3.0.
GPU: device 0 is required.
GPU: will use device 0: GeForce GTX 760, compute capability 3.0, 6 MPs.
GPU: Selection and initialization of the device took 0ms
Using B1=3000000, B2=0, sigma=3:2840670448-3:2840672239 (1792 curves)
dF=0, k=0, d=10486320, d2=0, i0=0
Expected number of curves to find a factor of n digits:
35    40      45      50      55      60      65      70      75      80
5388    51440   559187  6813685 9.3e+007        1.2e+009        5.4e+010        Inf     Inf     Inf
Computing 1792 Step 1 took 40965ms of CPU time / 4036860ms of GPU time
Throughput: 0.444 curves by second (on average 2252.71ms by Step 1)
Expected time to find a factor of n digits:
35       40      45      50      55      60      65      70      75      80
3.37h   1.34d   14.58d  177.60d 6.62y   86.09y  3827y   Inf     Inf     Inf
Resuming ECM residue saved by *******@***** with GMP-ECM 7.0-dev on Fri Jan 30 15:47:58 2015 
Input number is (94*10^249-1)/(3*4088911*17384218970891*6905689306327575205510847) (206 digits)
[Fri Jan 30 17:08:31 2015]
Using MODMULN [mulredc:0, sqrredc:1]
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2840672015
dF=16384, k=2, d=158340, d2=11, i0=8
Expected number of curves to find a factor of n digits:
35        40      45      50      55      60      65      70      75      80
389     2872    25127   252850  2853276 3.6e+007        5.1e+008        7.8e+009        1.8e+011        2.3e+016
Step 1 took 0ms
Using 25 small primes for NTT
Estimated memory usage: 67M
Initializing tables of differences for F took 16ms
Computing roots of F took 577ms
Building F from its roots took 1264ms
Computing 1/F took 717ms
Initializing table of differences for G took 16ms
Computing roots of G took 530ms
Building G from its roots took 1326ms
Computing roots of G took 530ms
Building G from its roots took 1326ms
Computing G * H took 390ms
Reducing  G * H mod F took 421ms
Computing polyeval(F,G) took 2465ms
Computing product of all F(g_i) took 16ms
Step 2 took 9641ms
********** Factor found in step 2: 43752360736997751491980225177187789
Found probable prime factor of 35 digits: 43752360736997751491980225177187789
Composite cofactor ((94*10^249-1)/(3*4088911*17384218970891*6905689306327575205510847))/43752360736997751491980225177187789 has 172 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e62392300Serge BatalovDecember 20, 2014 21:19:52 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 52 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:31 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 31 秒 (日本時間)
1792Youcef LemsaferJanuary 31, 2015 02:43:55 UTC 2015 年 1 月 31 日 (土) 11 時 43 分 55 秒 (日本時間)
4511e6768Youcef LemsaferFebruary 3, 2015 07:02:36 UTC 2015 年 2 月 3 日 (火) 16 時 2 分 36 秒 (日本時間)
5043e62000 / 7290Serge BatalovFebruary 5, 2015 02:53:09 UTC 2015 年 2 月 5 日 (木) 11 時 53 分 9 秒 (日本時間)

94×10250-13

c244

composite cofactor 合成数の残り
5665176008189337366119008677850314731565187302983334118924495745546232986112887756512615524314359869373335888448248686473194758668353611439113752883130112923049353789946399057734176333219770661501086861003779630655957290262181392535338689925999<244>

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)
403e62392300Serge BatalovDecember 20, 2014 21:19:53 UTC 2014 年 12 月 21 日 (日) 6 時 19 分 53 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:32 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 32 秒 (日本時間)
1792Youcef LemsaferJanuary 31, 2015 02:45:21 UTC 2015 年 1 月 31 日 (土) 11 時 45 分 21 秒 (日本時間)
4511e63000768Youcef LemsaferFebruary 3, 2015 07:03:28 UTC 2015 年 2 月 3 日 (火) 16 時 3 分 28 秒 (日本時間)
2232Youcef LemsaferJanuary 14, 2021 22:51:31 UTC 2021 年 1 月 15 日 (金) 7 時 51 分 31 秒 (日本時間)
5043e60--
5511e73200 / 17563Youcef LemsaferJanuary 25, 2021 11:04:55 UTC 2021 年 1 月 25 日 (月) 20 時 4 分 55 秒 (日本時間)

94×10252-13

c212

name 名前Youcef Lemsafer
date 日付October 19, 2017 08:10:20 UTC 2017 年 10 月 19 日 (木) 17 時 10 分 20 秒 (日本時間)
composite number 合成数
25325904420962289696632709747348349247300331400516974345660374074289933581870136661537867154885244066472997474365731607651535541637034664179037047955053280872253760925325468153710028859495090544627903011619646443<212>
prime factors 素因数
21181815306590128090081874689477791747727<41>
1195643718651575837346528554646355092252281096664123217972522652958861437647310951781876176248269276263990445641073607106070108291841008298738110210372950505243178974804709<172>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.1.1, --enable-asm-redc] [ECM]
Input number is (94*10^252-1)/(3*19301*10751238429008309*5962155947564697776359) (212 digits)
[Wed Oct 18 21:03:13 2017]
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=0:16009351039758129344
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+008  3.7e+09 4.4e+10
Step 1 took 67125ms
Using 26 small primes for NTT
Estimated memory usage: 177.25MB
Initializing tables of differences for F took 78ms
Computing roots of F took 1750ms
Building F from its roots took 2750ms
Computing 1/F took 1109ms
Initializing table of differences for G took 62ms
Computing roots of G took 1594ms
Building G from its roots took 2703ms
Computing roots of G took 1562ms
Building G from its roots took 2641ms
Computing G * H took 531ms
Reducing  G * H mod F took 625ms
Computing roots of G took 1562ms
Building G from its roots took 2735ms
Computing G * H took 547ms
Reducing  G * H mod F took 625ms
Computing polyeval(F,G) took 4578ms
Computing product of all F(g_i) took 16ms
Step 2 took 25656ms
********** Factor found in step 2: 21181815306590128090081874689477791747727
Found prime factor of 41 digits: 21181815306590128090081874689477791747727
Prime cofactor ((94*10^252-1)/(3*19301*10751238429008309*5962155947564697776359))/21181815306590128090081874689477791747727 has 172 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e61000 / 2087Dmitry DomanovJuly 29, 2016 15:33:53 UTC 2016 年 7 月 30 日 (土) 0 時 33 分 53 秒 (日本時間)
4511e65 / 4218Youcef LemsaferOctober 19, 2017 08:09:11 UTC 2017 年 10 月 19 日 (木) 17 時 9 分 11 秒 (日本時間)

94×10253-13

c255

name 名前KTakahashi
date 日付July 30, 2016 11:45:07 UTC 2016 年 7 月 30 日 (土) 20 時 45 分 7 秒 (日本時間)
composite number 合成数
313333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<255>
prime factors 素因数
401248899163029642506982454737185563348309<42>
composite cofactor 合成数の残り
780895184976007299876157234947458400673371832885754573285330777176965801115637750294554148786774488053434496147284363472751364134430961688149316837267934363308982688106161098529346130994002415475712242601878235137<213>
factorization results 素因数分解の結果
Input number is 313333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333 (255 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=149341007
Step 1 took 9984ms
Step 2 took 4977ms
********** Factor found in step 2: 401248899163029642506982454737185563348309
Found probable prime factor of 42 digits: 401248899163029642506982454737185563348309
Composite cofactor 780895184976007299876157234947458400673371832885754573285330777176965801115637750294554148786774488053434496147284363472751364134430961688149316837267934363308982688106161098529346130994002415475712242601878235137 has 213 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovJuly 28, 2016 14:24:51 UTC 2016 年 7 月 28 日 (木) 23 時 24 分 51 秒 (日本時間)
4511e640962000Dmitry DomanovJuly 29, 2016 21:40:12 UTC 2016 年 7 月 30 日 (土) 6 時 40 分 12 秒 (日本時間)
2096Youcef LemsaferJune 12, 2019 19:09:32 UTC 2019 年 6 月 13 日 (木) 4 時 9 分 32 秒 (日本時間)
5043e60--
5511e73200 / 17503Youcef LemsaferJune 15, 2019 21:22:44 UTC 2019 年 6 月 16 日 (日) 6 時 22 分 44 秒 (日本時間)

94×10255-13

c160

composite cofactor 合成数の残り
9025038758122105008187711660876501946796888470291273743418571542450556745561250862466941727095139957874522724454538747139386912362838645702925465991478650440551<160>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovJuly 28, 2016 14:25:56 UTC 2016 年 7 月 28 日 (木) 23 時 25 分 56 秒 (日本時間)
4511e62000Dmitry DomanovJuly 29, 2016 21:44:43 UTC 2016 年 7 月 30 日 (土) 6 時 44 分 43 秒 (日本時間)
5043e6620Dmitry DomanovAugust 2, 2016 15:47:35 UTC 2016 年 8 月 3 日 (水) 0 時 47 分 35 秒 (日本時間)
5511e73200 / 17413Youcef LemsaferJune 19, 2019 06:18:08 UTC 2019 年 6 月 19 日 (水) 15 時 18 分 8 秒 (日本時間)

94×10257-13

c211

composite cofactor 合成数の残り
4036432348986396101169266717922777416213240535423062924826519718539355021424044101623409319058516001669275897691103083117280413029067388976296813444944443470056438725884836141898563903754655679158945586696001031<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 29, 2016 15:34:08 UTC 2016 年 7 月 30 日 (土) 0 時 34 分 8 秒 (日本時間)
4511e63840640Youcef LemsaferOctober 23, 2017 08:24:57 UTC 2017 年 10 月 23 日 (月) 17 時 24 分 57 秒 (日本時間)
3200Youcef LemsaferJune 19, 2019 18:25:55 UTC 2019 年 6 月 20 日 (木) 3 時 25 分 55 秒 (日本時間)
5043e60--
5511e73200 / 17520Youcef LemsaferJune 24, 2019 06:29:10 UTC 2019 年 6 月 24 日 (月) 15 時 29 分 10 秒 (日本時間)

94×10258-13

c260

composite cofactor 合成数の残り
31333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovJuly 28, 2016 14:24:38 UTC 2016 年 7 月 28 日 (木) 23 時 24 分 38 秒 (日本時間)
4511e62000Dmitry DomanovJuly 29, 2016 21:40:00 UTC 2016 年 7 月 30 日 (土) 6 時 40 分 0 秒 (日本時間)
5043e670801800Dmitry DomanovAugust 5, 2016 16:31:19 UTC 2016 年 8 月 6 日 (土) 1 時 31 分 19 秒 (日本時間)
2000Dmitry DomanovDecember 30, 2016 15:47:07 UTC 2016 年 12 月 31 日 (土) 0 時 47 分 7 秒 (日本時間)
2280Dmitry DomanovJanuary 13, 2017 23:29:55 UTC 2017 年 1 月 14 日 (土) 8 時 29 分 55 秒 (日本時間)
1000Dmitry DomanovFebruary 3, 2017 15:14:02 UTC 2017 年 2 月 4 日 (土) 0 時 14 分 2 秒 (日本時間)
5511e73200Youcef LemsaferFebruary 1, 2021 09:26:40 UTC 2021 年 2 月 1 日 (月) 18 時 26 分 40 秒 (日本時間)
6026e79000 / 39946yoyo@HomeAugust 18, 2024 13:54:47 UTC 2024 年 8 月 18 日 (日) 22 時 54 分 47 秒 (日本時間)

94×10259-13

c250

composite cofactor 合成数の残り
6313611506206502829963481701567496314844554332166720406391564332211967037582952941264237136930889628444917759904582263571799637426790649005511009743189341984286590497134067342935543216303573099866073014968567868446165885136021214703249458197410124217<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e60--
4511e63840640Youcef LemsaferOctober 23, 2017 08:25:34 UTC 2017 年 10 月 23 日 (月) 17 時 25 分 34 秒 (日本時間)
3200Youcef LemsaferJune 24, 2019 19:00:24 UTC 2019 年 6 月 25 日 (火) 4 時 0 分 24 秒 (日本時間)
5043e60--
5511e73200 / 17528Youcef LemsaferJune 30, 2019 22:53:13 UTC 2019 年 7 月 1 日 (月) 7 時 53 分 13 秒 (日本時間)

94×10260-13

c185

name 名前Dmitry Domanov
date 日付January 10, 2017 10:13:39 UTC 2017 年 1 月 10 日 (火) 19 時 13 分 39 秒 (日本時間)
composite number 合成数
20253171930580646438547352973938709091736389628718994345167898710309010635258445569760644038312290512289304403896594103875455280260750895206858414623847631556699984634133830174202210157<185>
prime factors 素因数
27794494584307589305012167058994235080161<41>
composite cofactor 合成数の残り
728675668814475378049473096999802958570487549261296522425534474952104416701135165386744989482575730478860476418026735026269945605955783609492237<144>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3611123362
Step 1 took 73548ms
Step 2 took 28829ms
********** Factor found in step 2: 27794494584307589305012167058994235080161
Found probable prime factor of 41 digits: 27794494584307589305012167058994235080161
Composite cofactor 728675668814475378049473096999802958570487549261296522425534474952104416701135165386744989482575730478860476418026735026269945605955783609492237 has 144 digits

c144

name 名前Robert Balfour
date 日付March 30, 2020 13:58:25 UTC 2020 年 3 月 30 日 (月) 22 時 58 分 25 秒 (日本時間)
composite number 合成数
728675668814475378049473096999802958570487549261296522425534474952104416701135165386744989482575730478860476418026735026269945605955783609492237<144>
prime factors 素因数
1842093306272186275828354998129077901101158495004516357<55>
395569359235707915507346757960711103566155221630057550011815572826038759987882979667348841<90>
factorization results 素因数分解の結果
PID25826 2020-03-30 09:38:42,591 Debug:root: Root parameter dictionary:
N = 728675668814475378049473096999802958570487549261296522425534474952104416701135165386744989482575730478860476418026735026269945605955783609492237
name = 31333_260
tasks.I = 14
tasks.lim0 = 13000000
tasks.lim1 = 20000000
tasks.lpb0 = 30
tasks.lpb1 = 31
tasks.qmin = 100000
tasks.threads = 6
tasks.wutimeout = 1800
tasks.filter.required_excess = 0.1
tasks.filter.target_density = 135.0
tasks.filter.purge.keep = 175
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.bwc.interleaving = 0
tasks.linalg.bwc.threads = 6
tasks.linalg.characters.nchar = 50
tasks.polyselect.P = 300000
tasks.polyselect.admax = 20e4
tasks.polyselect.admin = 12600
tasks.polyselect.adrange = 840
tasks.polyselect.degree = 5
tasks.polyselect.incr = 60
tasks.polyselect.nq = 15625
tasks.polyselect.nrkeep = 100
tasks.polyselect.threads = 2
tasks.sieve.lambda0 = 1.81
tasks.sieve.lambda1 = 1.79
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 58
tasks.sieve.ncurves0 = 19
tasks.sieve.ncurves1 = 22
tasks.sieve.qrange = 5000
tasks.sieve.rels_wanted = 85000000
tasks.sieve.las.threads = 2
tasks.sqrt.threads = 2
PID25826 2020-03-30 10:04:35,907 Info:Polynomial Selection (root optimized): Best polynomial is:
n: 728675668814475378049473096999802958570487549261296522425534474952104416701135165386744989482575730478860476418026735026269945605955783609492237
skew: 1170505.043
c0: 854086120994016466682086750019712
c1: 262817104900912656443091589064
c2: -35162088089217103796937
c3: -325309526069908694
c4: -28397408130
c5: 40680
Y0: -8851706865179751210500433305
Y1: 121875383642937750793
# MurphyE (Bf=2.147e+09,Bg=1.074e+09,area=1.342e+13) = 2.973e-06
PID25826 2020-03-30 14:12:43,940 Info:Square Root: Factors: 395569359235707915507346757960711103566155221630057550011815572826038759987882979667348841 1842093306272186275828354998129077901101158495004516357
PID25826 2020-03-30 14:12:43,940 Debug:Square Root: Exit SqrtTask.run(sqrt)
PID25826 2020-03-30 14:12:43,940 Info:Polynomial Selection (size optimized): Aggregate statistics:
PID25826 2020-03-30 14:12:43,941 Info:Polynomial Selection (size optimized): potential collisions: 144726
PID25826 2020-03-30 14:12:43,941 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 147047/43.170/52.382/60.200/1.221
PID25826 2020-03-30 14:12:43,941 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 121796/41.600/46.282/52.630/0.981
PID25826 2020-03-30 14:12:43,941 Info:Polynomial Selection (size optimized): Total time: 63107.4
PID25826 2020-03-30 14:12:43,941 Info:Polynomial Selection (root optimized): Aggregate statistics:
PID25826 2020-03-30 14:12:43,941 Info:Polynomial Selection (root optimized): Total time: 2061.19
PID25826 2020-03-30 14:12:43,941 Info:Polynomial Selection (root optimized): Rootsieve time: 2058.64
PID25826 2020-03-30 14:12:43,941 Info:Generate Factor Base: Total cpu/real time for makefb: 14.34/2.82429
PID25826 2020-03-30 14:12:43,941 Info:Generate Free Relations: Total cpu/real time for freerel: 1341/226.64
PID25826 2020-03-30 14:12:43,941 Info:Lattice Sieving: Aggregate statistics:
PID25826 2020-03-30 14:12:43,941 Info:Lattice Sieving: Total number of relations: 100672113
PID25826 2020-03-30 14:12:43,941 Info:Lattice Sieving: Average J: 8096.24 for 488755 special-q, max bucket fill -bkmult 1.0,1s:1.085480
PID25826 2020-03-30 14:12:43,941 Info:Lattice Sieving: Total time: 483186s
PID25826 2020-03-30 14:12:43,941 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 284.5/286.579
PID25826 2020-03-30 14:12:43,942 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
PID25826 2020-03-30 14:12:43,942 Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 284.9s
PID25826 2020-03-30 14:12:43,942 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1116.97/402.013
PID25826 2020-03-30 14:12:43,942 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
PID25826 2020-03-30 14:12:43,942 Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 310.9s
PID25826 2020-03-30 14:12:43,942 Info:Filtering - Singleton removal: Total cpu/real time for purge: 527.34/212.381
PID25826 2020-03-30 14:12:43,942 Info:Filtering - Merging: Total cpu/real time for merge: 135.17/30.2846
PID25826 2020-03-30 14:12:43,942 Info:Filtering - Merging: Total cpu/real time for replay: 47.31/48.5246
PID25826 2020-03-30 14:12:43,942 Info:Linear Algebra: Total cpu/real time for bwc: 32034.2/5673.29
PID25826 2020-03-30 14:12:43,942 Info:Linear Algebra: Aggregate statistics:
PID25826 2020-03-30 14:12:43,942 Info:Linear Algebra: Krylov: WCT time 3612.69, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (60160 iterations)
PID25826 2020-03-30 14:12:43,942 Info:Linear Algebra: Lingen CPU time 230.44, WCT time 43.4
PID25826 2020-03-30 14:12:43,942 Info:Linear Algebra: Mksol: WCT time 1942.64, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (28928 iterations)
PID25826 2020-03-30 14:12:43,942 Info:Quadratic Characters: Total cpu/real time for characters: 62.4/19.7994
PID25826 2020-03-30 14:12:43,943 Info:Square Root: Total cpu/real time for sqrt: 489.36/110.461
PID25826 2020-03-30 14:12:43,943 Info:HTTP server: Shutting down HTTP server
PID25826 2020-03-30 14:12:44,207 Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.09558e+06/16440.6
software ソフトウェア
CADO-NFS

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 29, 2016 15:34:25 UTC 2016 年 7 月 30 日 (土) 0 時 34 分 25 秒 (日本時間)
4511e6480 / 4218Dmitry DomanovJanuary 10, 2017 07:52:22 UTC 2017 年 1 月 10 日 (火) 16 時 52 分 22 秒 (日本時間)

94×10262-13

c236

composite cofactor 合成数の残り
62414899966591596824991863057662365873775955333248121320362266386533529468997888891865487253170181221442879348072901369047842905737625853277544381331033344320730492675910250618502281148939084679588554831982460020325040873016647984322177<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e61920Youcef LemsaferJanuary 14, 2017 08:50:18 UTC 2017 年 1 月 14 日 (土) 17 時 50 分 18 秒 (日本時間)
4511e6576Youcef LemsaferJanuary 14, 2017 08:50:18 UTC 2017 年 1 月 14 日 (土) 17 時 50 分 18 秒 (日本時間)
5043e6540360Youcef LemsaferJanuary 14, 2017 08:50:18 UTC 2017 年 1 月 14 日 (土) 17 時 50 分 18 秒 (日本時間)
180Youcef LemsaferJanuary 14, 2017 10:45:55 UTC 2017 年 1 月 14 日 (土) 19 時 45 分 55 秒 (日本時間)
5511e73416 / 17525216Youcef LemsaferJanuary 14, 2017 08:50:18 UTC 2017 年 1 月 14 日 (土) 17 時 50 分 18 秒 (日本時間)
3200Youcef LemsaferFebruary 8, 2021 08:23:52 UTC 2021 年 2 月 8 日 (月) 17 時 23 分 52 秒 (日本時間)

94×10263-13

c249

name 名前Youcef Lemsafer
date 日付January 13, 2021 09:23:37 UTC 2021 年 1 月 13 日 (水) 18 時 23 分 37 秒 (日本時間)
composite number 合成数
312733390152334922420534689522976155539087250941506112204512636293628829954145846984085139747113490934051564400163970315388087371064697519989940901287378246336693154012007915135930835782438507849721232118048530118102983826758765997386329490958008909<249>
prime factors 素因数
367790357247363863191239554891311579438027<42>
composite cofactor 合成数の残り
850303397002876258806505231098843072194173131138781241439964826723847543986548408840941975995891613181728843453998964663504632138587445404676126256755672097408475725911638912185318969482076653899530015639367<207>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is (94*10^263-1)/(3*7*5689*87631*2871049) (249 digits)
[Wed Jan 13 00:13:49 2021]
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=0:17086140909999215654
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+008  3.7e+09 4.4e+10
Step 1 took 50687ms
Using 30 small primes for NTT
Estimated memory usage: 158.27MB
Initializing tables of differences for F took 47ms
Computing roots of F took 1406ms
Building F from its roots took 1453ms
Computing 1/F took 672ms
Initializing table of differences for G took 31ms
Computing roots of G took 1219ms
Building G from its roots took 1422ms
Computing roots of G took 1266ms
Building G from its roots took 1562ms
Computing G * H took 328ms
Reducing  G * H mod F took 360ms
Computing roots of G took 1234ms
Building G from its roots took 1547ms
Computing G * H took 375ms
Reducing  G * H mod F took 437ms
Computing polyeval(F,G) took 2672ms
Computing product of all F(g_i) took 16ms
Step 2 took 16172ms
********** Factor found in step 2: 367790357247363863191239554891311579438027
Found prime factor of 42 digits: 367790357247363863191239554891311579438027
Composite cofactor ((94*10^263-1)/(3*7*5689*87631*2871049))/367790357247363863191239554891311579438027 has 207 digits
execution environment 実行環境
Intel(R) Core(TM) i7-6700 CPU @ 3.40GHz, 3408 Mhz, 4 Core(s), 8 Logical Processor(s), 16 GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e61280Youcef LemsaferOctober 23, 2017 08:26:08 UTC 2017 年 10 月 23 日 (月) 17 時 26 分 8 秒 (日本時間)
4511e63000640Youcef LemsaferOctober 24, 2017 06:43:59 UTC 2017 年 10 月 24 日 (火) 15 時 43 分 59 秒 (日本時間)
2360Youcef LemsaferJanuary 13, 2021 09:19:53 UTC 2021 年 1 月 13 日 (水) 18 時 19 分 53 秒 (日本時間)
5043e60--
5511e73200 / 17571Youcef LemsaferFebruary 12, 2021 14:21:26 UTC 2021 年 2 月 12 日 (金) 23 時 21 分 26 秒 (日本時間)

94×10265-13

c224

name 名前Youcef Lemsafer
date 日付February 12, 2021 19:44:12 UTC 2021 年 2 月 13 日 (土) 4 時 44 分 12 秒 (日本時間)
composite number 合成数
38399520460297181261997483743903430165880900798847439154215018538117469784128426087337804654513538524139905799021652030784260217207665028125439571116481363279391012774909002617923635401089553907420473223932496966050666437299<224>
prime factors 素因数
2803663621322468811033044357231876818854319<43>
composite cofactor 合成数の残り
13696193854448342151554934295353152062381296031092478430180827021813715319081251515131839082744477791409010579598591546024145817028741744860391092010200410250093738904233259521551421<182>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is (94*10^265-1)/(3*1237493*7109527*84648607*2027405297*5404268857843) (224 digits)
[Fri Feb 12 18:23:53 2021]
Using MODMULN [mulredc:0, sqrredc:1]
Using B1=110000000, B2=769593044236, polynomial Dickson(30), sigma=0:18070610341586828043
dF=65536, k=16, d=690690, d2=17, i0=143
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
34      135     614     3152    17884   111314  752662  5482979 4.3e+07 3.6e+08
Step 1 took 440125ms
Using 27 small primes for NTT
Estimated memory usage: 298.22MB
Initializing tables of differences for F took 312ms
Computing roots of F took 6984ms
Building F from its roots took 3047ms
Computing 1/F took 1391ms
Initializing table of differences for G took 422ms
Computing roots of G took 5421ms
Building G from its roots took 3000ms
Computing roots of G took 5593ms
Building G from its roots took 3219ms
Computing G * H took 765ms
Reducing  G * H mod F took 719ms
Computing roots of G took 5953ms
Building G from its roots took 3188ms
Computing G * H took 782ms
Reducing  G * H mod F took 672ms
Computing roots of G took 5796ms
Building G from its roots took 3000ms
Computing G * H took 688ms
Reducing  G * H mod F took 703ms
Computing roots of G took 5640ms
Building G from its roots took 3110ms
Computing G * H took 750ms
Reducing  G * H mod F took 735ms
Computing roots of G took 5515ms
Building G from its roots took 3172ms
Computing G * H took 781ms
Reducing  G * H mod F took 625ms
Computing roots of G took 5938ms
Building G from its roots took 3281ms
Computing G * H took 672ms
Reducing  G * H mod F took 812ms
Computing roots of G took 5469ms
Building G from its roots took 3016ms
Computing G * H took 735ms
Reducing  G * H mod F took 687ms
Computing roots of G took 5875ms
Building G from its roots took 3141ms
Computing G * H took 735ms
Reducing  G * H mod F took 781ms
Computing roots of G took 5734ms
Building G from its roots took 2985ms
Computing G * H took 672ms
Reducing  G * H mod F took 719ms
Computing roots of G took 5687ms
Building G from its roots took 3063ms
Computing G * H took 750ms
Reducing  G * H mod F took 703ms
Computing roots of G took 5703ms
Building G from its roots took 3031ms
Computing G * H took 704ms
Reducing  G * H mod F took 609ms
Computing roots of G took 5469ms
Building G from its roots took 3031ms
Computing G * H took 656ms
Reducing  G * H mod F took 719ms
Computing roots of G took 5610ms
Building G from its roots took 2953ms
Computing G * H took 782ms
Reducing  G * H mod F took 718ms
Computing roots of G took 5407ms
Building G from its roots took 3125ms
Computing G * H took 719ms
Reducing  G * H mod F took 641ms
Computing roots of G took 5703ms
Building G from its roots took 3125ms
Computing G * H took 735ms
Reducing  G * H mod F took 859ms
Computing polyeval(F,G) took 5375ms
Computing product of all F(g_i) took 16ms
Step 2 took 179609ms
********** Factor found in step 2: 2803663621322468811033044357231876818854319
Found prime factor of 43 digits: 2803663621322468811033044357231876818854319
Composite cofactor ((94*10^265-1)/(3*1237493*7109527*84648607*2027405297*5404268857843))/2803663621322468811033044357231876818854319 has 182 digits
execution environment 実行環境
Processor       Intel(R) Core(TM) i7-6700 CPU @ 3.40GHz, 3408 Mhz, 4 Core(s), 8 Logical Processor(s), 16GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e61280Youcef LemsaferOctober 26, 2017 09:41:07 UTC 2017 年 10 月 26 日 (木) 18 時 41 分 7 秒 (日本時間)
4511e63000640Youcef LemsaferOctober 27, 2017 07:21:56 UTC 2017 年 10 月 27 日 (金) 16 時 21 分 56 秒 (日本時間)
2360Youcef LemsaferJanuary 13, 2021 13:42:02 UTC 2021 年 1 月 13 日 (水) 22 時 42 分 2 秒 (日本時間)
5043e60--
5511e73200 / 17571Youcef LemsaferFebruary 18, 2021 09:17:32 UTC 2021 年 2 月 18 日 (木) 18 時 17 分 32 秒 (日本時間)

94×10266-13

c208

composite cofactor 合成数の残り
1009005982562695029776317567810591702797303879105069433881590799284271060705139887059622747161144186888510266244610023391679524810209447354015693605858540799215897370526338968413953049481295364858225213396107<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 29, 2016 15:34:35 UTC 2016 年 7 月 30 日 (土) 0 時 34 分 35 秒 (日本時間)
4511e63000640Youcef LemsaferOctober 30, 2017 09:28:43 UTC 2017 年 10 月 30 日 (月) 18 時 28 分 43 秒 (日本時間)
2360Youcef LemsaferJanuary 14, 2021 09:59:02 UTC 2021 年 1 月 14 日 (木) 18 時 59 分 2 秒 (日本時間)
5043e60--
5511e73200 / 17573Youcef LemsaferFebruary 23, 2021 09:07:17 UTC 2021 年 2 月 23 日 (火) 18 時 7 分 17 秒 (日本時間)

94×10269-13

c204

name 名前Dmitry Domanov
date 日付July 30, 2016 11:24:58 UTC 2016 年 7 月 30 日 (土) 20 時 24 分 58 秒 (日本時間)
composite number 合成数
243162374508317388022625786593819622570530035026820275480087733325446231666342662270208981230116013974629431766735038036028303061486240015220002353242659512152492664316902888329960411820265954285174193609<204>
prime factors 素因数
6337802393217286861489239622625371417<37>
composite cofactor 合成数の残り
38366985813339596511216603985447037644893159020400057785370117194355850429887709391530729509264600188329661021324657534670245807820431246121892198121883674472203158577<167>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3154128656
Step 1 took 40120ms
Step 2 took 13336ms
********** Factor found in step 2: 6337802393217286861489239622625371417
Found probable prime factor of 37 digits: 6337802393217286861489239622625371417
Composite cofactor 38366985813339596511216603985447037644893159020400057785370117194355850429887709391530729509264600188329661021324657534670245807820431246121892198121883674472203158577 has 167 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 29, 2016 15:34:48 UTC 2016 年 7 月 30 日 (土) 0 時 34 分 48 秒 (日本時間)
4511e62000Dmitry DomanovJuly 31, 2016 08:35:06 UTC 2016 年 7 月 31 日 (日) 17 時 35 分 6 秒 (日本時間)
5043e62432 / 7061640Dmitry DomanovAugust 19, 2016 17:05:53 UTC 2016 年 8 月 20 日 (土) 2 時 5 分 53 秒 (日本時間)
1792Dmitry DomanovJune 30, 2024 18:24:49 UTC 2024 年 7 月 1 日 (月) 3 時 24 分 49 秒 (日本時間)

94×10271-13

c247

name 名前KTakahashi
date 日付July 30, 2016 11:56:12 UTC 2016 年 7 月 30 日 (土) 20 時 56 分 12 秒 (日本時間)
composite number 合成数
2383674540784064182933426029071815069132271482650056177068752466512731733395723225900610790673884556682964885845208799979544097829819681500483629175765819965468954562322383647821510984758608251412775933029487380672859725976937235277733477727589449<247>
prime factors 素因数
449772437392453755314088750090564134943800398819<48>
5299734582677780772487812540093848953486815707274181674620381149369625572239077287650468776983936581598277271933210379679306806903494326398834334846452282404911280265908655726816144282829764057900771<199>
factorization results 素因数分解の結果
Input number is 2383674540784064182933426029071815069132271482650056177068752466512731733395723225900610790673884556682964885845208799979544097829819681500483629175765819965468954562322383647821510984758608251412775933029487380672859725976937235277733477727589449 (247 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3318918270
Step 1 took 28268ms
Step 2 took 11622ms
********** Factor found in step 2: 449772437392453755314088750090564134943800398819
Found probable prime factor of 48 digits: 449772437392453755314088750090564134943800398819
Probable prime cofactor 5299734582677780772487812540093848953486815707274181674620381149369625572239077287650468776983936581598277271933210379679306806903494326398834334846452282404911280265908655726816144282829764057900771 has 199 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)

94×10272-13

c239

composite cofactor 合成数の残り
24393410643031342991749442883978417105419002165662397803453766146144934128507602065515918338975010080051021862077604860225823873973456349624927861396539533494276788625423989166507484334441319509864214085376588215876430059060900103707791747<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e61280Youcef LemsaferOctober 30, 2017 09:29:38 UTC 2017 年 10 月 30 日 (月) 18 時 29 分 38 秒 (日本時間)
4511e63000640Youcef LemsaferOctober 30, 2017 09:29:38 UTC 2017 年 10 月 30 日 (月) 18 時 29 分 38 秒 (日本時間)
2360Youcef LemsaferJanuary 15, 2021 13:48:13 UTC 2021 年 1 月 15 日 (金) 22 時 48 分 13 秒 (日本時間)
5043e60--
5511e73200 / 17571Youcef LemsaferMarch 1, 2021 09:47:09 UTC 2021 年 3 月 1 日 (月) 18 時 47 分 9 秒 (日本時間)

94×10273-13

c270

composite cofactor 合成数の残り
624132687953575151551368112131413129361459142547922102928775836769382971801153981501769482567442848700940846828542782967817328313712991919473603835096176191329867405002357096853441693391497188083049485754503382931962897303613993851629052712653294291841789003313215013711<270>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e61600Youcef LemsaferOctober 31, 2017 10:00:00 UTC 2017 年 10 月 31 日 (火) 19 時 0 分 0 秒 (日本時間)
4511e63000640Youcef LemsaferNovember 2, 2017 09:59:19 UTC 2017 年 11 月 2 日 (木) 18 時 59 分 19 秒 (日本時間)
2360Youcef LemsaferJanuary 16, 2021 08:22:03 UTC 2021 年 1 月 16 日 (土) 17 時 22 分 3 秒 (日本時間)
5043e60--
5511e73200 / 17568Youcef LemsaferMarch 9, 2021 16:50:47 UTC 2021 年 3 月 10 日 (水) 1 時 50 分 47 秒 (日本時間)

94×10275-13

c276

composite cofactor 合成数の残り
447619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619<276>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e61600Youcef LemsaferNovember 2, 2017 09:59:55 UTC 2017 年 11 月 2 日 (木) 18 時 59 分 55 秒 (日本時間)
4511e63000640Youcef LemsaferNovember 8, 2017 08:52:07 UTC 2017 年 11 月 8 日 (水) 17 時 52 分 7 秒 (日本時間)
2360Youcef LemsaferJanuary 18, 2021 09:13:49 UTC 2021 年 1 月 18 日 (月) 18 時 13 分 49 秒 (日本時間)
5043e60--
5511e73200 / 17568Youcef LemsaferMarch 17, 2021 08:44:42 UTC 2021 年 3 月 17 日 (水) 17 時 44 分 42 秒 (日本時間)

94×10276-13

c239

composite cofactor 合成数の残り
37630587550939233471297169926769554703013645574018549778180198023884603230499595133482635620850192785248028331212011618206905616279639037380877648256589268352032141532069292922529343603522743334489474564874551448504948363298215753709625197<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e61600Youcef LemsaferNovember 8, 2017 08:53:00 UTC 2017 年 11 月 8 日 (水) 17 時 53 分 0 秒 (日本時間)
4511e63000640Youcef LemsaferNovember 8, 2017 08:53:00 UTC 2017 年 11 月 8 日 (水) 17 時 53 分 0 秒 (日本時間)
2360Youcef LemsaferJanuary 18, 2021 09:14:34 UTC 2021 年 1 月 18 日 (月) 18 時 14 分 34 秒 (日本時間)
5043e60--
5511e73200 / 17568Youcef LemsaferMarch 23, 2021 19:01:28 UTC 2021 年 3 月 24 日 (水) 4 時 1 分 28 秒 (日本時間)

94×10278-13

c209

composite cofactor 合成数の残り
73017002386846109062882825136359205863534112587809289401273751264870518901819216853640709474415385332483428791566198467352225398963988125247431051131786806396331410153384410637456808034846047091270151658213511<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 29, 2016 15:35:00 UTC 2016 年 7 月 30 日 (土) 0 時 35 分 0 秒 (日本時間)
4511e63000640Youcef LemsaferNovember 8, 2017 08:53:35 UTC 2017 年 11 月 8 日 (水) 17 時 53 分 35 秒 (日本時間)
2360Youcef LemsaferJanuary 18, 2021 09:15:08 UTC 2021 年 1 月 18 日 (月) 18 時 15 分 8 秒 (日本時間)
5043e60--
5511e73200 / 17573Youcef LemsaferSeptember 17, 2021 06:45:17 UTC 2021 年 9 月 17 日 (金) 15 時 45 分 17 秒 (日本時間)

94×10279-13

c269

composite cofactor 合成数の残り
18261693254311337570382099174816676452844462453586536916176912435229242755453592423198244181316527287624409091299902085854033461408135192854073780279519985041074904377191314505833865098125643330819767174825836361985065696402102209173982006174076047533632571779487024783<269>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e61792Youcef LemsaferFebruary 16, 2019 07:59:05 UTC 2019 年 2 月 16 日 (土) 16 時 59 分 5 秒 (日本時間)
4511e62560Youcef LemsaferFebruary 16, 2019 07:59:05 UTC 2019 年 2 月 16 日 (土) 16 時 59 分 5 秒 (日本時間)
5043e60--
5511e73200 / 175941920Youcef LemsaferFebruary 19, 2019 06:54:37 UTC 2019 年 2 月 19 日 (火) 15 時 54 分 37 秒 (日本時間)
1280Youcef LemsaferSeptember 19, 2021 08:29:26 UTC 2021 年 9 月 19 日 (日) 17 時 29 分 26 秒 (日本時間)

94×10280-13

c279

composite cofactor 合成数の残り
156902019696210983141378734768819896511433817392755800367217492906025705224503421799365715239525955600066766816892004673677182440327157402770822901018193957603071273577032214989150392255049240527457853446836922049741278584543481889500918043732265064263061258554498414288098814889<279>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e61792Youcef LemsaferFebruary 19, 2019 19:08:55 UTC 2019 年 2 月 20 日 (水) 4 時 8 分 55 秒 (日本時間)
4511e62880Youcef LemsaferFebruary 19, 2019 19:08:55 UTC 2019 年 2 月 20 日 (水) 4 時 8 分 55 秒 (日本時間)
5043e60--
5511e73200 / 175742160Youcef LemsaferFebruary 23, 2019 11:09:09 UTC 2019 年 2 月 23 日 (土) 20 時 9 分 9 秒 (日本時間)
1040Youcef LemsaferSeptember 20, 2021 17:03:30 UTC 2021 年 9 月 21 日 (火) 2 時 3 分 30 秒 (日本時間)

94×10281-13

c273

name 名前Youcef Lemsafer
date 日付February 23, 2019 14:49:43 UTC 2019 年 2 月 23 日 (土) 23 時 49 分 43 秒 (日本時間)
composite number 合成数
492337870404836392784314000262790785470977393051271168773884510494250032652698681248119632368762487056398759484572130845099993561954312924995310530232535435962310613986906518096205595719919468971240570871922290479544768863907421619842850194330411089191633775957979127013241<273>
prime factors 素因数
10340169331103137770889969330373374193364011<44>
47614101340090093009054999061192289498391305566533023851783845948450810296753180696704462049663892747835693617321938167120961094588130793595551585626778026208330298473984225091026735199990883987701423718896816258180410376940829931<230>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Running on kaltz
Input number is (94*10^281-1)/(3*7*909170459) (273 digits)
[Sat Feb 23 13:27:51 2019]
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:14949775317004647621
dF=16384, k=2, d=158340, d2=11, i0=8
Expected number of curves to find a factor of n digits:
35     40      45      50      55      60      65      70      75      80
324     2351    20272   201449  2247436 2.8e+07 3.9e+08 6e+09   1.1e+11 7.4e+15
Step 1 took 27036ms
Using 32 small primes for NTT
Estimated memory usage: 86.24MB
Initializing tables of differences for F took 24ms
Computing roots of F took 664ms
Building F from its roots took 992ms
Computing 1/F took 528ms
Initializing table of differences for G took 20ms
Computing roots of G took 652ms
Building G from its roots took 1144ms
Computing roots of G took 564ms
Building G from its roots took 1100ms
Computing G * H took 244ms
Reducing  G * H mod F took 196ms
Computing polyeval(F,G) took 1256ms
Computing product of all F(g_i) took 8ms
Step 2 took 7440ms
********** Factor found in step 2: 10340169331103137770889969330373374193364011
Found prime factor of 44 digits: 10340169331103137770889969330373374193364011
Prime cofactor ((94*10^281-1)/(3*7*909170459))/10340169331103137770889969330373374193364011 has 230 digits
software ソフトウェア
GMP-ECM 7.0.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e61286 / 2104Youcef LemsaferFebruary 23, 2019 14:48:17 UTC 2019 年 2 月 23 日 (土) 23 時 48 分 17 秒 (日本時間)

94×10282-13

c217

name 名前Youcef Lemsafer
date 日付February 23, 2019 23:35:35 UTC 2019 年 2 月 24 日 (日) 8 時 35 分 35 秒 (日本時間)
composite number 合成数
2232605592010239400240972545927082886041476219697475235231547928234243068219233179981611948577696941173421107401677010676760865211194574631243629202367352217704035100766376279005462986945531031452608327340915263114753<217>
prime factors 素因数
4707166471905414689348886172212278336614432201<46>
composite cofactor 合成数の残り
474299263757821298367945344997365268944631422449838331623937166323141890935794535921425412638136110025722676549450890051968826023856470244403987304564186902053189361388153<171>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Running on kaltz
Input number is (94*10^282-1)/(3*17*74009771344609360280094296170517*11154666923989800076311668981804849) (217 digits)
[Sat Feb 23 18:08:33 2019]
Using MODMULN [mulredc:0, sqrredc:1]
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=0:2965989945473993072
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 75332ms
Using 26 small primes for NTT
Estimated memory usage: 144.22MB
Initializing tables of differences for F took 60ms
Computing roots of F took 1948ms
Building F from its roots took 1696ms
Computing 1/F took 540ms
Initializing table of differences for G took 36ms
Computing roots of G took 1764ms
Building G from its roots took 1928ms
Computing roots of G took 2036ms
Building G from its roots took 1960ms
Computing G * H took 456ms
Reducing  G * H mod F took 492ms
Computing roots of G took 2024ms
Building G from its roots took 1860ms
Computing G * H took 444ms
Reducing  G * H mod F took 452ms
Computing polyeval(F,G) took 3416ms
Computing product of all F(g_i) took 24ms
Step 2 took 21236ms
********** Factor found in step 2: 4707166471905414689348886172212278336614432201
Found prime factor of 46 digits: 4707166471905414689348886172212278336614432201
Composite cofactor ((94*10^282-1)/(3*17*74009771344609360280094296170517*11154666923989800076311668981804849))/4707166471905414689348886172212278336614432201 has 171 digits

c171

name 名前Youcef Lemsafer
date 日付February 25, 2019 06:42:14 UTC 2019 年 2 月 25 日 (月) 15 時 42 分 14 秒 (日本時間)
composite number 合成数
474299263757821298367945344997365268944631422449838331623937166323141890935794535921425412638136110025722676549450890051968826023856470244403987304564186902053189361388153<171>
prime factors 素因数
58995193575091594801978674740416428871740281<44>
composite cofactor 合成数の残り
8039625518884229043917675523591328245946273150442169960192062245183037702777925099556727241759011139432637036465851469897504513<127>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Running on kaltz
Input number is (94*10^282-1)/(3*17*74009771344609360280094296170517*11154666923989800076311668981804849) (217 digits)
[Sun Feb 24 22:09:14 2019]
Using MODMULN [mulredc:0, sqrredc:1]
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=0:5110758291519615067
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 773252ms
Using 26 small primes for NTT
Estimated memory usage: 602.72MB
Initializing tables of differences for F took 460ms
Computing roots of F took 21540ms
Building F from its roots took 8264ms
Computing 1/F took 3812ms
Initializing table of differences for G took 452ms
Computing roots of G took 19104ms
Building G from its roots took 8940ms
Computing roots of G took 18208ms
Building G from its roots took 9572ms
Computing G * H took 1880ms
Reducing  G * H mod F took 1860ms
Computing roots of G took 18676ms
Building G from its roots took 9628ms
Computing G * H took 1904ms
Reducing  G * H mod F took 1940ms
Computing roots of G took 16816ms
Building G from its roots took 9140ms
Computing G * H took 1900ms
Reducing  G * H mod F took 1872ms
Computing polyeval(F,G) took 16624ms
Computing product of all F(g_i) took 60ms
Step 2 took 173092ms
********** Factor found in step 2: 58995193575091594801978674740416428871740281
Found prime factor of 44 digits: 58995193575091594801978674740416428871740281
Composite cofactor ((94*10^282-1)/(3*17*74009771344609360280094296170517*11154666923989800076311668981804849))/58995193575091594801978674740416428871740281 has 173 digits

c127

name 名前Youcef Lemsafer
date 日付February 26, 2019 19:04:31 UTC 2019 年 2 月 27 日 (水) 4 時 4 分 31 秒 (日本時間)
composite number 合成数
8039625518884229043917675523591328245946273150442169960192062245183037702777925099556727241759011139432637036465851469897504513<127>
prime factors 素因数
30655832734806916588073907508257880936511439740919371<53>
262254351021297285558970503123069733272676411484521993922389094656547938403<75>
factorization results 素因数分解の結果
Mon Feb 25 22:40:06 2019 -> factmsieve.py (v0.76)
Mon Feb 25 22:40:06 2019 -> This is client 1 of 1
Mon Feb 25 22:40:06 2019 -> Running on 6 Cores with 2 hyper-threads per Core
Mon Feb 25 22:40:06 2019 -> Working with NAME = 31333_282
Mon Feb 25 22:40:06 2019 -> Running polynomial selection ...
Mon Feb 25 22:40:06 2019  
Mon Feb 25 22:40:06 2019  
Mon Feb 25 22:40:06 2019  Msieve v. 1.53 (SVN 991)
Mon Feb 25 22:40:06 2019  random seeds: bfcfb658 08fc5cc9
Mon Feb 25 22:40:06 2019  factoring 8039625518884229043917675523591328245946273150442169960192062245183037702777925099556727241759011139432637036465851469897504513 (127 digits)
Mon Feb 25 22:40:06 2019  no P-1/P+1/ECM available, skipping
Mon Feb 25 22:40:06 2019  commencing number field sieve (127-digit input)
Mon Feb 25 22:40:06 2019  commencing number field sieve polynomial selection
Mon Feb 25 22:40:06 2019  polynomial degree: 5
Mon Feb 25 22:40:06 2019  max stage 1 norm: 1.58e+19
Mon Feb 25 22:40:06 2019  max stage 2 norm: 4.05e+17
Mon Feb 25 22:40:06 2019  min E-value: 8.73e-11
Mon Feb 25 22:40:06 2019  poly select deadline: 35642
Mon Feb 25 22:40:06 2019  time limit set to 9.90 CPU-hours
Mon Feb 25 22:40:06 2019  expecting poly E from 1.11e-10 to > 1.28e-10
Mon Feb 25 22:40:06 2019  searching leading coefficients from 1 to 738143
Tue Feb 26 08:34:52 2019  polynomial selection complete
Tue Feb 26 08:34:52 2019  R0: -4022719091333139593976754
Tue Feb 26 08:34:52 2019  R1: 9399785325173
Tue Feb 26 08:34:52 2019  A0: -21412212874778913251858273717385
Tue Feb 26 08:34:52 2019  A1: 499280137281099087695265851
Tue Feb 26 08:34:52 2019  A2: 2008291138542190701606
Tue Feb 26 08:34:52 2019  A3: -4238000084633658
Tue Feb 26 08:34:52 2019  A4: -8082515096
Tue Feb 26 08:34:52 2019  A5: 7632
Tue Feb 26 08:34:52 2019  skew 482354.75, size 3.178e-12, alpha -6.963, combined = 1.174e-10 rroots = 5
Tue Feb 26 08:34:52 2019  elapsed time 09:54:46
Tue Feb 26 08:34:52 2019 -> Selected lattice siever: gnfs-lasieve4I13e
Tue Feb 26 08:34:52 2019 -> Creating param file to detect parameter changes...
Tue Feb 26 08:34:52 2019 -> Running setup ...
Tue Feb 26 08:34:52 2019 -> Estimated minimum relations needed: 1.672e+07
Tue Feb 26 08:34:52 2019 -> cleaning up before a restart
Tue Feb 26 08:34:52 2019 -> Running lattice siever ...
Tue Feb 26 08:34:52 2019 -> entering sieving loop
.....
Tue Feb 26 12:33:06 2019  commencing relation filtering
Tue Feb 26 12:33:06 2019  estimated available RAM is 64326.0 MB
Tue Feb 26 12:33:06 2019  commencing duplicate removal, pass 1
Tue Feb 26 12:35:08 2019  found 2338362 hash collisions in 18839362 relations
Tue Feb 26 12:35:27 2019  added 190 free relations
Tue Feb 26 12:35:27 2019  commencing duplicate removal, pass 2
Tue Feb 26 12:35:32 2019  found 1515582 duplicates and 17323970 unique relations
Tue Feb 26 12:35:32 2019  memory use: 82.6 MB
Tue Feb 26 12:35:32 2019  reading ideals above 720000
Tue Feb 26 12:35:32 2019  commencing singleton removal, initial pass
Tue Feb 26 12:37:08 2019  memory use: 376.5 MB
Tue Feb 26 12:37:08 2019  reading all ideals from disk
Tue Feb 26 12:37:08 2019  memory use: 515.7 MB
Tue Feb 26 12:37:09 2019  keeping 19468354 ideals with weight <= 200, target excess is 117415
Tue Feb 26 12:37:10 2019  commencing in-memory singleton removal
Tue Feb 26 12:37:11 2019  begin with 17323970 relations and 19468354 unique ideals
Tue Feb 26 12:37:18 2019  reduce to 5392487 relations and 5167940 ideals in 21 passes
Tue Feb 26 12:37:18 2019  max relations containing the same ideal: 88
Tue Feb 26 12:37:20 2019  removing 573691 relations and 529518 ideals in 44173 cliques
Tue Feb 26 12:37:20 2019  commencing in-memory singleton removal
Tue Feb 26 12:37:20 2019  begin with 4818796 relations and 5167940 unique ideals
Tue Feb 26 12:37:22 2019  reduce to 4763776 relations and 4582750 ideals in 11 passes
Tue Feb 26 12:37:22 2019  max relations containing the same ideal: 80
Tue Feb 26 12:37:24 2019  removing 416851 relations and 372678 ideals in 44173 cliques
Tue Feb 26 12:37:24 2019  commencing in-memory singleton removal
Tue Feb 26 12:37:24 2019  begin with 4346925 relations and 4582750 unique ideals
Tue Feb 26 12:37:26 2019  reduce to 4314093 relations and 4176889 ideals in 9 passes
Tue Feb 26 12:37:26 2019  max relations containing the same ideal: 74
Tue Feb 26 12:37:27 2019  relations with 0 large ideals: 469
Tue Feb 26 12:37:27 2019  relations with 1 large ideals: 2256
Tue Feb 26 12:37:27 2019  relations with 2 large ideals: 34122
Tue Feb 26 12:37:27 2019  relations with 3 large ideals: 211670
Tue Feb 26 12:37:27 2019  relations with 4 large ideals: 679449
Tue Feb 26 12:37:27 2019  relations with 5 large ideals: 1207288
Tue Feb 26 12:37:27 2019  relations with 6 large ideals: 1215280
Tue Feb 26 12:37:27 2019  relations with 7+ large ideals: 963559
Tue Feb 26 12:37:27 2019  commencing 2-way merge
Tue Feb 26 12:37:29 2019  reduce to 2340519 relation sets and 2203321 unique ideals
Tue Feb 26 12:37:29 2019  ignored 6 oversize relation sets
Tue Feb 26 12:37:29 2019  commencing full merge
Tue Feb 26 12:37:51 2019  memory use: 242.2 MB
Tue Feb 26 12:37:51 2019  found 1171724 cycles, need 1155521
Tue Feb 26 12:37:52 2019  weight of 1155521 cycles is about 81105321 (70.19/cycle)
Tue Feb 26 12:37:52 2019  distribution of cycle lengths:
Tue Feb 26 12:37:52 2019  1 relations: 150972
Tue Feb 26 12:37:52 2019  2 relations: 140472
Tue Feb 26 12:37:52 2019  3 relations: 137362
Tue Feb 26 12:37:52 2019  4 relations: 120350
Tue Feb 26 12:37:52 2019  5 relations: 103959
Tue Feb 26 12:37:52 2019  6 relations: 88333
Tue Feb 26 12:37:52 2019  7 relations: 75271
Tue Feb 26 12:37:52 2019  8 relations: 62449
Tue Feb 26 12:37:52 2019  9 relations: 52368
Tue Feb 26 12:37:52 2019  10+ relations: 223985
Tue Feb 26 12:37:52 2019  heaviest cycle: 22 relations
Tue Feb 26 12:37:52 2019  commencing cycle optimization
Tue Feb 26 12:37:53 2019  start with 6835649 relations
Tue Feb 26 12:37:59 2019  pruned 117513 relations
Tue Feb 26 12:37:59 2019  memory use: 239.7 MB
Tue Feb 26 12:37:59 2019  distribution of cycle lengths:
Tue Feb 26 12:37:59 2019  1 relations: 150972
Tue Feb 26 12:37:59 2019  2 relations: 143225
Tue Feb 26 12:37:59 2019  3 relations: 141146
Tue Feb 26 12:37:59 2019  4 relations: 122262
Tue Feb 26 12:37:59 2019  5 relations: 105162
Tue Feb 26 12:37:59 2019  6 relations: 88712
Tue Feb 26 12:37:59 2019  7 relations: 75408
Tue Feb 26 12:37:59 2019  8 relations: 61864
Tue Feb 26 12:37:59 2019  9 relations: 51766
Tue Feb 26 12:37:59 2019  10+ relations: 215004
Tue Feb 26 12:37:59 2019  heaviest cycle: 22 relations
Tue Feb 26 12:38:00 2019  RelProcTime: 294
Tue Feb 26 12:38:01 2019  elapsed time 00:04:56
Tue Feb 26 12:38:01 2019 LatSieveTime: 732.477
.....
Tue Feb 26 12:38:01 2019  commencing linear algebra
Tue Feb 26 12:38:01 2019  read 1155521 cycles
Tue Feb 26 12:38:03 2019  cycles contain 4130581 unique relations
Tue Feb 26 12:38:21 2019  read 4130581 relations
Tue Feb 26 12:38:24 2019  using 20 quadratic characters above 4294917295
Tue Feb 26 12:38:40 2019  building initial matrix
Tue Feb 26 12:39:02 2019  memory use: 522.1 MB
Tue Feb 26 12:39:03 2019  read 1155521 cycles
Tue Feb 26 12:39:03 2019  matrix is 1155334 x 1155521 (352.2 MB) with weight 111899820 (96.84/col)
Tue Feb 26 12:39:03 2019  sparse part has weight 78449804 (67.89/col)
Tue Feb 26 12:39:10 2019  filtering completed in 2 passes
Tue Feb 26 12:39:10 2019  matrix is 1150830 x 1151016 (351.7 MB) with weight 111694743 (97.04/col)
Tue Feb 26 12:39:10 2019  sparse part has weight 78383620 (68.10/col)
Tue Feb 26 12:39:12 2019  matrix starts at (0, 0)
Tue Feb 26 12:39:12 2019  matrix is 1150830 x 1151016 (351.7 MB) with weight 111694743 (97.04/col)
Tue Feb 26 12:39:12 2019  sparse part has weight 78383620 (68.10/col)
Tue Feb 26 12:39:12 2019  saving the first 48 matrix rows for later
Tue Feb 26 12:39:12 2019  matrix includes 64 packed rows
Tue Feb 26 12:39:12 2019  matrix is 1150782 x 1151016 (340.0 MB) with weight 89262822 (77.55/col)
Tue Feb 26 12:39:12 2019  sparse part has weight 77622404 (67.44/col)
Tue Feb 26 12:39:12 2019  using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
Tue Feb 26 12:39:15 2019  commencing Lanczos iteration (12 threads)
Tue Feb 26 12:39:15 2019  memory use: 266.5 MB
Tue Feb 26 12:39:16 2019  linear algebra at 0.1%, ETA 0h12m
Tue Feb 26 12:39:17 2019  checkpointing every 3650000 dimensions
Tue Feb 26 12:58:03 2019  lanczos halted after 18202 iterations (dim = 1150782)
Tue Feb 26 12:58:04 2019  recovered 31 nontrivial dependencies
Tue Feb 26 12:58:04 2019  BLanczosTime: 1203
Tue Feb 26 12:58:04 2019  elapsed time 00:20:03
.....
Tue Feb 26 12:58:05 2019  commencing square root phase
Tue Feb 26 12:58:05 2019  reading relations for dependency 1
Tue Feb 26 12:58:05 2019  read 575364 cycles
Tue Feb 26 12:58:05 2019  cycles contain 2063112 unique relations
Tue Feb 26 12:58:15 2019  read 2063112 relations
Tue Feb 26 12:58:20 2019  multiplying 2063112 relations
Tue Feb 26 12:59:18 2019  multiply complete, coefficients have about 92.06 million bits
Tue Feb 26 12:59:19 2019  initial square root is modulo 4057423
Tue Feb 26 13:00:31 2019  GCD is N, no factor found
Tue Feb 26 13:00:31 2019  reading relations for dependency 2
Tue Feb 26 13:00:32 2019  read 575853 cycles
Tue Feb 26 13:00:32 2019  cycles contain 2064558 unique relations
Tue Feb 26 13:00:42 2019  read 2064558 relations
Tue Feb 26 13:00:47 2019  multiplying 2064558 relations
Tue Feb 26 13:01:45 2019  multiply complete, coefficients have about 92.13 million bits
Tue Feb 26 13:01:45 2019  initial square root is modulo 4102247
Tue Feb 26 13:02:58 2019  sqrtTime: 293
Tue Feb 26 13:02:58 2019  p53 factor: 30655832734806916588073907508257880936511439740919371
Tue Feb 26 13:02:58 2019  p75 factor: 262254351021297285558970503123069733272676411484521993922389094656547938403
Tue Feb 26 13:02:58 2019  elapsed time 00:04:54
software ソフトウェア
GGNFS+msieve 1.53
execution environment 実行環境
Intel Core i7-5820K, Debian 9 64-bit.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e619601000Dmitry DomanovJuly 29, 2016 15:35:11 UTC 2016 年 7 月 30 日 (土) 0 時 35 分 11 秒 (日本時間)
960Youcef LemsaferFebruary 23, 2019 23:32:18 UTC 2019 年 2 月 24 日 (日) 8 時 32 分 18 秒 (日本時間)
4511e63072Youcef LemsaferFebruary 25, 2019 21:14:05 UTC 2019 年 2 月 26 日 (火) 6 時 14 分 5 秒 (日本時間)
5043e60 / 2016--
5511e71978 / 17561Youcef LemsaferFebruary 25, 2019 21:14:05 UTC 2019 年 2 月 26 日 (火) 6 時 14 分 5 秒 (日本時間)

94×10283-13

c258

composite cofactor 合成数の残り
232075936333496813599493668493195897515659842705955168283951276498640566859699805406320714527150831179782813170453571063425909416494755271397905335125033198786522505090864905552448277443920332370454202010944880293115303444659228415033573795393945296751570817<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e638401920Youcef LemsaferFebruary 27, 2019 06:35:04 UTC 2019 年 2 月 27 日 (水) 15 時 35 分 4 秒 (日本時間)
1920Youcef LemsaferFebruary 27, 2019 19:14:23 UTC 2019 年 2 月 28 日 (木) 4 時 14 分 23 秒 (日本時間)
4511e63072Youcef LemsaferFebruary 27, 2019 19:14:23 UTC 2019 年 2 月 28 日 (木) 4 時 14 分 23 秒 (日本時間)
5043e60--
5511e72880 / 17546Youcef LemsaferMarch 3, 2019 08:44:49 UTC 2019 年 3 月 3 日 (日) 17 時 44 分 49 秒 (日本時間)

94×10284-13

c239

name 名前KTakahashi
date 日付July 30, 2016 11:57:40 UTC 2016 年 7 月 30 日 (土) 20 時 57 分 40 秒 (日本時間)
composite number 合成数
92443600782558474800714083719194120777711156202838182019453828889841108785433494209667969862654925599121801084756755943453906613131665036992863780103582163754338884562258045308518749942028123938941326901888265619750991296938901384099441099<239>
prime factors 素因数
56797165035137821773199739709490340171<38>
1627609418980116791396358572472295467061700889877334734195839470060427731576641919187882534200990703122903949984587426171645471731415181397016662972887650217246304322184528922114643227014036209254058369<202>
factorization results 素因数分解の結果
Input number is 92443600782558474800714083719194120777711156202838182019453828889841108785433494209667969862654925599121801084756755943453906613131665036992863780103582163754338884562258045308518749942028123938941326901888265619750991296938901384099441099 (239 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3833496149
Step 1 took 30264ms
Step 2 took 12480ms
********** Factor found in step 2: 56797165035137821773199739709490340171
Found probable prime factor of 38 digits: 56797165035137821773199739709490340171
Probable prime cofactor 1627609418980116791396358572472295467061700889877334734195839470060427731576641919187882534200990703122903949984587426171645471731415181397016662972887650217246304322184528922114643227014036209254058369 has 202 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)

94×10285-13

c263

composite cofactor 合成数の残り
22159393803440577218631886213575444128127303064899818315252571255423707093036689485686749586263416361120611538044539907910783216146874356452749640133633567820733716335197571982355029546948587721394574127338406950050405891075933504743999952162998564287758299507511<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e61920Youcef LemsaferMarch 3, 2019 21:43:56 UTC 2019 年 3 月 4 日 (月) 6 時 43 分 56 秒 (日本時間)
4511e63072Youcef LemsaferMarch 3, 2019 21:43:56 UTC 2019 年 3 月 4 日 (月) 6 時 43 分 56 秒 (日本時間)
5043e60--
5511e72880 / 17561Youcef LemsaferMarch 8, 2019 06:50:56 UTC 2019 年 3 月 8 日 (金) 15 時 50 分 56 秒 (日本時間)

94×10286-13

c278

composite cofactor 合成数の残り
39811057495325198326343837472425389310773745041081896966970371972298619320384986022970666853309713460026757741047299629092917799166154630927264578216461789153911181927906756281640001265037857059006494579532687772192252670606555350739255124449134275674642359418013099363695916593<278>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e61920Youcef LemsaferMarch 8, 2019 22:05:51 UTC 2019 年 3 月 9 日 (土) 7 時 5 分 51 秒 (日本時間)
4511e63072Youcef LemsaferMarch 8, 2019 22:05:51 UTC 2019 年 3 月 9 日 (土) 7 時 5 分 51 秒 (日本時間)
5043e60--
5511e72880 / 17561Youcef LemsaferMarch 13, 2019 05:57:46 UTC 2019 年 3 月 13 日 (水) 14 時 57 分 46 秒 (日本時間)

94×10287-13

c243

name 名前Youcef Lemsafer
date 日付March 13, 2019 18:27:43 UTC 2019 年 3 月 14 日 (木) 3 時 27 分 43 秒 (日本時間)
composite number 合成数
130952855098566863625615885501181168218929017568792119331576834841836713407712145775939980322983200673468498430005071864956183263652318147845372694134784871714015511514197189359138725102255760394525279305413448010931939337367049030536296409759<243>
prime factors 素因数
407892572848761926725744508711570079191<39>
composite cofactor 合成数の残り
321047412518397229371919393509137309169958078895151135457077566574696787086547496598327810189723941273691598561697235588137956061006111500041968930855664150154475652292490404997210036550975165320538083449<204>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is (94*10^287-1)/(3*7*99741760404721*34270193627681539768559336965421) (243 digits)
[Wed Mar 13 07:38:34 2019]
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:16317131942842297552
dF=16384, k=2, d=158340, d2=11, i0=8
Expected number of curves to find a factor of n digits:
35        40      45      50      55      60      65      70      75      80
324     2351    20272   201449  2247436 2.8e+07 3.9e+08 6e+09   1.1e+11 7.4e+15
Step 1 took 23332ms
********** Factor found in step 1: 407892572848761926725744508711570079191
Found prime factor of 39 digits: 407892572848761926725744508711570079191
Composite cofactor ((94*10^287-1)/(3*7*99741760404721*34270193627681539768559336965421))/407892572848761926725744508711570079191 has 204 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e61920Youcef LemsaferMarch 13, 2019 18:26:47 UTC 2019 年 3 月 14 日 (木) 3 時 26 分 47 秒 (日本時間)
4511e63072Youcef LemsaferMarch 13, 2019 18:26:47 UTC 2019 年 3 月 14 日 (木) 3 時 26 分 47 秒 (日本時間)
5043e60--
5511e72880 / 17561Youcef LemsaferMarch 18, 2019 20:09:59 UTC 2019 年 3 月 19 日 (火) 5 時 9 分 59 秒 (日本時間)

94×10288-13

c279

composite cofactor 合成数の残り
126077226691607114718723238908260472606345047259325352335144198551912091019824988806691564661270678211030083427222546783213620671411402043625277096361268724945780718651619540563404522097581219861647058947584353428428595592020914715709451058256288653974271339490621519820344638711<279>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e61920Youcef LemsaferMarch 18, 2019 20:11:33 UTC 2019 年 3 月 19 日 (火) 5 時 11 分 33 秒 (日本時間)
4511e63072Youcef LemsaferMarch 18, 2019 20:11:33 UTC 2019 年 3 月 19 日 (火) 5 時 11 分 33 秒 (日本時間)
5043e60--
5511e72880 / 17561Youcef LemsaferMarch 21, 2019 14:20:08 UTC 2019 年 3 月 21 日 (木) 23 時 20 分 8 秒 (日本時間)

94×10289-13

c284

composite cofactor 合成数の残り
71777220002600778843924023965344736442829406088556137841889597930739106069703163779504350806733955519656764388297350420282348675866826378617046921761379381016162320975968604949405841153805066967764468703108572131944551028525565327693171016022584473197584284209691192255512853200236987<284>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e61920Youcef LemsaferMarch 22, 2019 08:04:28 UTC 2019 年 3 月 22 日 (金) 17 時 4 分 28 秒 (日本時間)
4511e63072Youcef LemsaferMarch 22, 2019 08:04:28 UTC 2019 年 3 月 22 日 (金) 17 時 4 分 28 秒 (日本時間)
5043e60--
5511e72880 / 17561Youcef LemsaferMarch 26, 2019 20:16:57 UTC 2019 年 3 月 27 日 (水) 5 時 16 分 57 秒 (日本時間)

94×10290-13

c146

name 名前Youcef Lemsafer
date 日付March 27, 2019 06:43:12 UTC 2019 年 3 月 27 日 (水) 15 時 43 分 12 秒 (日本時間)
composite number 合成数
41800678057686632109660486302965174680109034679902043317844746274125218740777061828906751359950143963612800802239374333703592008030386568565584511<146>
prime factors 素因数
71361200625042922130039373172246833637155230653083926059<56>
585761978379851424449773904339685573711103895390482121920296744589900072187577171827263229<90>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is (94*10^290-1)/(3*13^2*127*33469*29107633*6229684701671*11039052230527803161*124367111599360829238567742733*153762666120197494286968301694121*2726019236105814410630314705527329491) (146 digits)
[Wed Mar 27 01:55:17 2019]
Using MODMULN [mulredc:0, sqrredc:1]
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=0:9900623445357873230
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 424432ms
Using 19 small primes for NTT
Estimated memory usage: 433.51MB
Initializing tables of differences for F took 296ms
Computing roots of F took 12780ms
Building F from its roots took 5572ms
Computing 1/F took 2644ms
Initializing table of differences for G took 216ms
Computing roots of G took 10328ms
Building G from its roots took 6312ms
Computing roots of G took 12564ms
Building G from its roots took 6256ms
Computing G * H took 1308ms
Reducing  G * H mod F took 1212ms
Computing roots of G took 11452ms
Building G from its roots took 6160ms
Computing G * H took 1304ms
Reducing  G * H mod F took 1376ms
Computing roots of G took 13288ms
Building G from its roots took 6012ms
Computing G * H took 1172ms
Reducing  G * H mod F took 1404ms
Computing polyeval(F,G) took 11304ms
Computing product of all F(g_i) took 60ms
Step 2 took 113404ms
********** Factor found in step 2: 71361200625042922130039373172246833637155230653083926059
Found prime factor of 56 digits: 71361200625042922130039373172246833637155230653083926059
Prime cofactor ((94*10^290-1)/(3*13^2*127*33469*29107633*6229684701671*11039052230527803161*124367111599360829238567742733*153762666120197494286968301694121*2726019236105814410630314705527329491))/71361200625042922130039373172246833637155230653083926059 has 90 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovJuly 28, 2016 14:26:38 UTC 2016 年 7 月 28 日 (木) 23 時 26 分 38 秒 (日本時間)
4511e62000Dmitry DomanovJuly 31, 2016 08:32:51 UTC 2016 年 7 月 31 日 (日) 17 時 32 分 51 秒 (日本時間)
5043e60 / 6309--
5511e7309 / 17634Youcef LemsaferMarch 27, 2019 06:41:04 UTC 2019 年 3 月 27 日 (水) 15 時 41 分 4 秒 (日本時間)

94×10291-13

c293

name 名前Dmitry Domanov
date 日付August 5, 2016 08:16:15 UTC 2016 年 8 月 5 日 (金) 17 時 16 分 15 秒 (日本時間)
composite number 合成数
31333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<293>
prime factors 素因数
49364152607075842064209398295035370548271<41>
634738604402621168797774474381277173573868878174897992126591002292723416066431556995050119927523861413006952144088707328505720175315551673033437609533495372514475266066105753559622496309699570652708306527315808168982474710416793894452689822144386376123<252>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2507277481
Step 1 took 184313ms
Step 2 took 50055ms
********** Factor found in step 2: 49364152607075842064209398295035370548271
Found probable prime factor of 41 digits: 49364152607075842064209398295035370548271

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovJuly 28, 2016 14:24:23 UTC 2016 年 7 月 28 日 (木) 23 時 24 分 23 秒 (日本時間)
4511e62000 / 4173Dmitry DomanovJuly 29, 2016 21:39:45 UTC 2016 年 7 月 30 日 (土) 6 時 39 分 45 秒 (日本時間)

94×10292-13

c250

name 名前Youcef Lemsafer
date 日付March 27, 2019 20:18:05 UTC 2019 年 3 月 28 日 (木) 5 時 18 分 5 秒 (日本時間)
composite number 合成数
5490247983672351810489964544222350210131839247881323478205671606983553961950070856965006385181233934633087592764996515674256332640314563696223806039307028283709146137676461210229227143373233338127073633707353333455791954701623531288879004491903437757<250>
prime factors 素因数
25843807202931308206494298632715112413781360059<47>
composite cofactor 合成数の残り
212439596865961214755248288304331890865590551585649815568251583122248819221502253027070298678258246590978535619723901171471069845105501204525113751454634918118406291607310428380645430869874685133225019623<204>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is (94*10^292-1)/(3*83*251*84391*32461358483690203223793575324335423) (250 digits)
[Wed Mar 27 08:56:44 2019]
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:5767091799919679277
dF=16384, k=2, d=158340, d2=11, i0=8
Expected number of curves to find a factor of n digits:
35  40      45      50      55      60      65      70      75      80
324     2351    20272   201449  2247436 2.8e+07 3.9e+08 6e+09   1.1e+11 7.4e+15
Step 1 took 22320ms
Using 30 small primes for NTT
Estimated memory usage: 77.64MB
Initializing tables of differences for F took 20ms
Computing roots of F took 576ms
Building F from its roots took 884ms
Computing 1/F took 480ms
Initializing table of differences for G took 16ms
Computing roots of G took 532ms
Building G from its roots took 972ms
Computing roots of G took 532ms
Building G from its roots took 736ms
Computing G * H took 164ms
Reducing  G * H mod F took 236ms
Computing polyeval(F,G) took 1592ms
Computing product of all F(g_i) took 16ms
Step 2 took 6804ms
********** Factor found in step 2: 25843807202931308206494298632715112413781360059
Found prime factor of 47 digits: 25843807202931308206494298632715112413781360059
Composite cofactor ((94*10^292-1)/(3*83*251*84391*32461358483690203223793575324335423))/25843807202931308206494298632715112413781360059 has 204 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e61920Youcef LemsaferMarch 27, 2019 20:17:25 UTC 2019 年 3 月 28 日 (木) 5 時 17 分 25 秒 (日本時間)
4511e63072Youcef LemsaferMarch 27, 2019 20:17:25 UTC 2019 年 3 月 28 日 (木) 5 時 17 分 25 秒 (日本時間)
5043e60--
5511e72880 / 17561Youcef LemsaferMarch 31, 2019 10:13:29 UTC 2019 年 3 月 31 日 (日) 19 時 13 分 29 秒 (日本時間)

94×10293-13

c267

name 名前Youcef Lemsafer
date 日付April 1, 2019 18:52:55 UTC 2019 年 4 月 2 日 (火) 3 時 52 分 55 秒 (日本時間)
composite number 合成数
421789513266507807724646582977188535716602555694387351532280921984489020037627746729059449686391294823328504358556602825972613418140448951903951822161425567584227916878258257613217283926254175100385632898803603380578677938348450026611747545541784313743267015612193127<267>
prime factors 素因数
4727474903360228059293947743901420979851481067<46>
composite cofactor 合成数の残り
89220888928824407564990366375874113511891542420862892241431536217873806349011741569664657304263303128313708595615755764280751160741342281439261211120713552381741924520547641087044573388368359879726189865337062011930360181<221>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is (94*10^293-1)/(3*7*56489*18786630527706918515773) (267 digits)
[Mon Apr  1 19:41:34 2019]
Using MODMULN [mulredc:0, sqrredc:2]
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=0:2282151663280469221
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 1067232ms
Using 32 small primes for NTT
Estimated memory usage: 704.82MB
Initializing tables of differences for F took 696ms
Computing roots of F took 28968ms
Building F from its roots took 11140ms
Computing 1/F took 4932ms
Initializing table of differences for G took 584ms
Computing roots of G took 24360ms
Building G from its roots took 13020ms
Computing roots of G took 24356ms
Building G from its roots took 13040ms
Computing G * H took 2476ms
Reducing  G * H mod F took 2692ms
Computing roots of G took 24364ms
Building G from its roots took 13032ms
Computing G * H took 2488ms
Reducing  G * H mod F took 2700ms
Computing roots of G took 24324ms
Building G from its roots took 12940ms
Computing G * H took 2452ms
Reducing  G * H mod F took 2680ms
Computing polyeval(F,G) took 22108ms
Computing product of all F(g_i) took 120ms
Step 2 took 233956ms
********** Factor found in step 2: 4727474903360228059293947743901420979851481067
Found prime factor of 46 digits: 4727474903360228059293947743901420979851481067
Composite cofactor ((94*10^293-1)/(3*7*56489*18786630527706918515773))/4727474903360228059293947743901420979851481067 has 221 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e61920Youcef LemsaferMarch 31, 2019 13:02:33 UTC 2019 年 3 月 31 日 (日) 22 時 2 分 33 秒 (日本時間)
4511e63072Youcef LemsaferApril 1, 2019 06:28:19 UTC 2019 年 4 月 1 日 (月) 15 時 28 分 19 秒 (日本時間)
5043e60--
5511e72880 / 17561Youcef LemsaferApril 5, 2019 05:01:40 UTC 2019 年 4 月 5 日 (金) 14 時 1 分 40 秒 (日本時間)

94×10294-13

c275

composite cofactor 合成数の残り
53056487216195841316597024915950135370275562002737226530046817741667416164280582708205302214640707888268136973315411470699365351459350184446861030493253560653435296803692991482037795052481133915015153903977589348595751106592008367930018535102344582240330129257957189170597699<275>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e62160Youcef LemsaferApril 5, 2019 18:18:41 UTC 2019 年 4 月 6 日 (土) 3 時 18 分 41 秒 (日本時間)
4511e63072Youcef LemsaferApril 5, 2019 18:18:41 UTC 2019 年 4 月 6 日 (土) 3 時 18 分 41 秒 (日本時間)
5043e60--
5511e72880 / 17559Youcef LemsaferApril 9, 2019 20:42:46 UTC 2019 年 4 月 10 日 (水) 5 時 42 分 46 秒 (日本時間)

94×10295-13

c256

name 名前Youcef Lemsafer
date 日付April 12, 2019 19:40:43 UTC 2019 年 4 月 13 日 (土) 4 時 40 分 43 秒 (日本時間)
composite number 合成数
1329739566954013050193128686829033344291042639541758569804251777897242886633841230911698989723997957542057501274150408207638395283686343466184174080626624485025216574473636060159049337824474786587201273700484737336190630474383475573949502239874653842763067<256>
prime factors 素因数
555449201967958956295098788251957900858977371542485071<54>
composite cofactor 合成数の残り
2393989517390141057307525947157108674817286961497365740916675619140485276803485700000587824413423315741626603208365174386810518672927346340269053253799114635580117553448253645642128077803433919107470677<202>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is (94*10^295-1)/(3*3851*1958569*2055917*15195746320442834988031513) (256 digits)
[Fri Apr 12 16:32:06 2019]
Using MODMULN [mulredc:0, sqrredc:2]
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=0:16794830988131476537
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 1008512ms
Using 30 small primes for NTT
Estimated memory usage: 690.82MB
Initializing tables of differences for F took 684ms
Computing roots of F took 27824ms
Building F from its roots took 10476ms
Computing 1/F took 4476ms
Initializing table of differences for G took 588ms
Computing roots of G took 24276ms
Building G from its roots took 11712ms
Computing roots of G took 24064ms
Building G from its roots took 12024ms
Computing G * H took 2316ms
Reducing  G * H mod F took 2476ms
Computing roots of G took 23664ms
Building G from its roots took 11572ms
Computing G * H took 1680ms
Reducing  G * H mod F took 1660ms
Computing roots of G took 21600ms
Building G from its roots took 11860ms
Computing G * H took 2300ms
Reducing  G * H mod F took 2540ms
Computing polyeval(F,G) took 20740ms
Computing product of all F(g_i) took 124ms
Step 2 took 219080ms
********** Factor found in step 2: 555449201967958956295098788251957900858977371542485071
Found prime factor of 54 digits: 555449201967958956295098788251957900858977371542485071
Composite cofactor ((94*10^295-1)/(3*3851*1958569*2055917*15195746320442834988031513))/555449201967958956295098788251957900858977371542485071 has 202 digits

c202

name 名前Erik Branger
date 日付April 28, 2019 19:53:06 UTC 2019 年 4 月 29 日 (月) 4 時 53 分 6 秒 (日本時間)
composite number 合成数
2393989517390141057307525947157108674817286961497365740916675619140485276803485700000587824413423315741626603208365174386810518672927346340269053253799114635580117553448253645642128077803433919107470677<202>
prime factors 素因数
556956401434697372985146287703909294729150665674108378418973<60>
4298342762958321310432032025022643327905435382705077900337430614265987908730790416403065694608543472092060266792377698592125795565753768817049<142>
factorization results 素因数分解の結果
GMP-ECM 7.0-dev [configured with GMP 6.1.0, --enable-asm-redc] [ECM]
Resuming ECM residue saved by erik_@ALTISSA with GMP-ECM 7.0.1-dev on Thu Apr 18 21:46:48 2019 
Input number is 2393989517390141057307525947157108674817286961497365740916675619140485276803485700000587824413423315741626603208365174386810518672927346340269053253799114635580117553448253645642128077803433919107470677 (202 digits)
Using B1=110000000-110000000, B2=776278396540, polynomial Dickson(30), sigma=3:3826530794
Step 1 took 0ms
Step 2 took 71188ms
********** Factor found in step 2: 556956401434697372985146287703909294729150665674108378418973
Found prime factor of 60 digits: 556956401434697372985146287703909294729150665674108378418973
Prime cofactor 4298342762958321310432032025022643327905435382705077900337430614265987908730790416403065694608543472092060266792377698592125795565753768817049 has 142 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e62160Youcef LemsaferApril 11, 2019 21:02:24 UTC 2019 年 4 月 12 日 (金) 6 時 2 分 24 秒 (日本時間)
4511e63072Youcef LemsaferApril 12, 2019 19:39:45 UTC 2019 年 4 月 13 日 (土) 4 時 39 分 45 秒 (日本時間)
5043e60--
5511e72880 / 17559Youcef LemsaferApril 16, 2019 18:38:38 UTC 2019 年 4 月 17 日 (水) 3 時 38 分 38 秒 (日本時間)

94×10296-13

c241

name 名前KTakahashi
date 日付July 30, 2016 11:59:41 UTC 2016 年 7 月 30 日 (土) 20 時 59 分 41 秒 (日本時間)
composite number 合成数
3821106817283225180358881164558290210985033260238662323163660792811839463997690569248314649433497830962316358431631997595416555021969805015501100621022802458690124460890916363133762679639045006553551637048181802356209871066341532673334138523<241>
prime factors 素因数
3444554711704409261831294169306809914300046129<46>
composite cofactor 合成数の残り
1109318079431083610647496145000318821244740405500831993762246740176870694547803707492335565580462610610145345831331911886488417814321974768069250739242619197305384774089553491183593969279317115787<196>
factorization results 素因数分解の結果
Input number is 3821106817283225180358881164558290210985033260238662323163660792811839463997690569248314649433497830962316358431631997595416555021969805015501100621022802458690124460890916363133762679639045006553551637048181802356209871066341532673334138523 (241 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1757556588
Step 1 took 27035ms
Step 2 took 11107ms
********** Factor found in step 2: 3444554711704409261831294169306809914300046129
Found probable prime factor of 46 digits: 3444554711704409261831294169306809914300046129
Composite cofactor 1109318079431083610647496145000318821244740405500831993762246740176870694547803707492335565580462610610145345831331911886488417814321974768069250739242619197305384774089553491183593969279317115787 has 196 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 31, 2016 08:33:20 UTC 2016 年 7 月 31 日 (日) 17 時 33 分 20 秒 (日本時間)
4511e62000Dmitry DomanovJuly 31, 2016 08:33:20 UTC 2016 年 7 月 31 日 (日) 17 時 33 分 20 秒 (日本時間)
5043e64640640Dmitry DomanovAugust 4, 2016 14:03:46 UTC 2016 年 8 月 4 日 (木) 23 時 3 分 46 秒 (日本時間)
4000Dmitry DomanovNovember 17, 2017 17:57:13 UTC 2017 年 11 月 18 日 (土) 2 時 57 分 13 秒 (日本時間)
5511e71000 / 15971Dmitry DomanovDecember 1, 2017 17:41:29 UTC 2017 年 12 月 2 日 (土) 2 時 41 分 29 秒 (日本時間)
6026e71 / 41060Dmitry DomanovDecember 4, 2017 09:39:23 UTC 2017 年 12 月 4 日 (月) 18 時 39 分 23 秒 (日本時間)
6585e71 / 69197Dmitry DomanovDecember 4, 2017 09:39:23 UTC 2017 年 12 月 4 日 (月) 18 時 39 分 23 秒 (日本時間)

94×10297-13

c289

name 名前Youcef Lemsafer
date 日付November 5, 2017 10:38:58 UTC 2017 年 11 月 5 日 (日) 19 時 38 分 58 秒 (日本時間)
composite number 合成数
1058405774931661880269588779203471888787785844487463886878422817358705365364057678014073672730532581847564511193581705515523091290355186687449773327912709958562571578063494433985354954433307344043288291943170667290838457736827448673919723250162171626702919152444958036357166860998462339409<289>
prime factors 素因数
12274493393345145817407024778585133249607442889<47>
composite cofactor 合成数の残り
86228061803796892996127408409184379006725464690971793176593951228795506081445365468705302007393518412934003053598496583651335489703079794526337750173801313102287990281107688377715765703180337701953599541162314209191770190877031275804375588681<242>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is (94*10^297-1)/(3*19*151*10318673) (289 digits)
[Sun Nov  5 06:46:42 2017]
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=0:15657112034920660731
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 1091776ms
Using 34 small primes for NTT
Estimated memory usage: 748.87MB
Initializing tables of differences for F took 700ms
Computing roots of F took 29120ms
Building F from its roots took 12004ms
Computing 1/F took 5340ms
Initializing table of differences for G took 592ms
Computing roots of G took 24532ms
Building G from its roots took 14224ms
Computing roots of G took 24528ms
Building G from its roots took 14228ms
Computing G * H took 2664ms
Reducing  G * H mod F took 2896ms
Computing roots of G took 24524ms
Building G from its roots took 14228ms
Computing G * H took 2640ms
Reducing  G * H mod F took 2876ms
Computing roots of G took 24544ms
Building G from its roots took 14492ms
Computing G * H took 2784ms
Reducing  G * H mod F took 3104ms
Computing polyeval(F,G) took 24356ms
Computing product of all F(g_i) took 136ms
Step 2 took 244996ms
********** Factor found in step 2: 12274493393345145817407024778585133249607442889
Found prime factor of 47 digits: 12274493393345145817407024778585133249607442889
Composite cofactor ((94*10^297-1)/(3*19*151*10318673))/12274493393345145817407024778585133249607442889 has 242 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e61920Youcef LemsaferNovember 4, 2017 21:42:39 UTC 2017 年 11 月 5 日 (日) 6 時 42 分 39 秒 (日本時間)
4511e61280Youcef LemsaferNovember 5, 2017 19:07:26 UTC 2017 年 11 月 6 日 (月) 4 時 7 分 26 秒 (日本時間)
5043e60--
5511e73000 / 176731428Youcef LemsaferNovember 6, 2017 18:29:52 UTC 2017 年 11 月 7 日 (火) 3 時 29 分 52 秒 (日本時間)
1452Youcef LemsaferApril 24, 2019 04:48:57 UTC 2019 年 4 月 24 日 (水) 13 時 48 分 57 秒 (日本時間)
120Youcef LemsaferSeptember 17, 2021 11:03:16 UTC 2021 年 9 月 17 日 (金) 20 時 3 分 16 秒 (日本時間)

94×10298-13

c245

composite cofactor 合成数の残り
35162614923857714813822869106070211222749368479439388846795724326608811044065131058585513212814958718928363341642240706137085728535838027379013748201927120635989245856398316730899058661347873458698668977730855066259494347740427018595287453681563<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e62160Youcef LemsaferApril 30, 2019 11:51:08 UTC 2019 年 4 月 30 日 (火) 20 時 51 分 8 秒 (日本時間)
4511e63600Youcef LemsaferMay 2, 2019 08:01:19 UTC 2019 年 5 月 2 日 (木) 17 時 1 分 19 秒 (日本時間)
5043e60--
5511e72880 / 17526Youcef LemsaferMay 9, 2019 08:36:13 UTC 2019 年 5 月 9 日 (木) 17 時 36 分 13 秒 (日本時間)

94×10300-13

c293

composite cofactor 合成数の残り
10653331238249212019243297628946421624730056613920399639747540180582081420061201264097492735920411887225131591638954521616537112225144843136348482139040835869562551225162009392972566111348481875540887689462360323665552081265861031589102861020364685068414367778963765922319127050053807669751517<293>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJuly 28, 2016 10:00:00 UTC 2016 年 7 月 28 日 (木) 19 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovJuly 28, 2016 14:29:42 UTC 2016 年 7 月 28 日 (木) 23 時 29 分 42 秒 (日本時間)
4511e62000Dmitry DomanovJuly 29, 2016 21:40:51 UTC 2016 年 7 月 30 日 (土) 6 時 40 分 51 秒 (日本時間)
5043e6750Dmitry DomanovAugust 5, 2016 16:32:58 UTC 2016 年 8 月 6 日 (土) 1 時 32 分 58 秒 (日本時間)
5511e73200 / 17366Youcef LemsaferMarch 18, 2022 07:48:34 UTC 2022 年 3 月 18 日 (金) 16 時 48 分 34 秒 (日本時間)