Table of contents 目次

112×1099-13

c100

name 名前KTakahashi
date 日付December 19, 2014 12:54:06 UTC 2014 年 12 月 19 日 (金) 21 時 54 分 6 秒 (日本時間)
composite number 合成数
1009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009<100>
prime factors 素因数
4764488702720079420521847436284544957370329582121<49>
211776975865838199010943308756256709216233126827529<51>
factorization results 素因数分解の結果
Number: 37333_99
N=1009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009
  ( 100 digits)
SNFS difficulty: 101 digits.
Divisors found:
 r1=4764488702720079420521847436284544957370329582121 (pp49)
 r2=211776975865838199010943308756256709216233126827529 (pp51)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 0.21 hours.
Scaled time: 0.35 units (timescale=1.691).
Factorization parameters were as follows:
n: 1009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009
m: 10000000000000000000000000
c4: 56
c0: -5
skew: 0.55
type: snfs
Factor base limits: 300000/350000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [150000, 230001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 25323 x 25557
Total sieving time: 0.19 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,101.000,4,0,0,0,0,0,0,0,0,300000,350000,25,25,43,43,2.1,2.1,10000
total time: 0.21 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)

112×10120-13

c121

name 名前KTakahashi
date 日付December 19, 2014 13:44:35 UTC 2014 年 12 月 19 日 (金) 22 時 44 分 35 秒 (日本時間)
composite number 合成数
1009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009<121>
prime factors 素因数
1568438534614052501088701410392969524621092614887372453<55>
643320721049038132881438339219431381857480423954484843786536473053<66>
factorization results 素因数分解の結果
Number: 37333_120
N=1009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009
  ( 121 digits)
SNFS difficulty: 122 digits.
Divisors found:
 r1=1568438534614052501088701410392969524621092614887372453 (pp55)
 r2=643320721049038132881438339219431381857480423954484843786536473053 (pp66)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 2.10 hours.
Scaled time: 4.33 units (timescale=2.061).
Factorization parameters were as follows:
n: 1009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009
m: 1000000000000000000000000
c5: 112
c0: -1
skew: 0.39
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 : 80063 x 80289
Total sieving time: 2.07 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,122.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.10 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)

112×10121-13

c113

name 名前KTakahashi
date 日付December 19, 2014 13:50:14 UTC 2014 年 12 月 19 日 (金) 22 時 50 分 14 秒 (日本時間)
composite number 合成数
21825615755137235453713980944995217459901504076237089100139742209380797446053528540703704775850268600630183759991<113>
prime factors 素因数
1699350123003478755844615966413106111621097754989<49>
12843507326531411930545664138191629618489294664259830052723416819<65>
factorization results 素因数分解の結果
Number: 37333_121
N=21825615755137235453713980944995217459901504076237089100139742209380797446053528540703704775850268600630183759991
  ( 113 digits)
SNFS difficulty: 123 digits.
Divisors found:
 r1=1699350123003478755844615966413106111621097754989 (pp49)
 r2=12843507326531411930545664138191629618489294664259830052723416819 (pp65)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 2.61 hours.
Scaled time: 4.04 units (timescale=1.552).
Factorization parameters were as follows:
n: 21825615755137235453713980944995217459901504076237089100139742209380797446053528540703704775850268600630183759991
m: 2000000000000000000000000
c5: 35
c0: -1
skew: 0.49
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, 500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 90279 x 90505
Total sieving time: 2.54 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,123.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.61 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
351e6904118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 19, 2014 13:49:32 UTC 2014 年 12 月 19 日 (金) 22 時 49 分 32 秒 (日本時間)

112×10126-13

c99

name 名前KTakahashi
date 日付December 19, 2014 14:40:41 UTC 2014 年 12 月 19 日 (金) 23 時 40 分 41 秒 (日本時間)
composite number 合成数
732582628238598023241632079462361132918982574947900495528302924462004705018578193268872681299280657<99>
prime factors 素因数
43075079691448504730526225594391373699085353<44>
17007110224430629338412336541914438786102221714663552169<56>
factorization results 素因数分解の結果
Number: 37333_126
N=732582628238598023241632079462361132918982574947900495528302924462004705018578193268872681299280657
  ( 99 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=43075079691448504730526225594391373699085353 (pp44)
 r2=17007110224430629338412336541914438786102221714663552169 (pp56)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 2.65 hours.
Scaled time: 5.45 units (timescale=2.055).
Factorization parameters were as follows:
n: 732582628238598023241632079462361132918982574947900495528302924462004705018578193268872681299280657
m: 20000000000000000000000000
c5: 35
c0: -1
skew: 0.49
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [400000, 800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 96657 x 96882
Total sieving time: 2.60 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,128.000,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 2.65 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 19, 2014 14:00:53 UTC 2014 年 12 月 19 日 (金) 23 時 0 分 53 秒 (日本時間)

112×10127-13

c114

name 名前Cyp
date 日付December 20, 2014 05:14:23 UTC 2014 年 12 月 20 日 (土) 14 時 14 分 23 秒 (日本時間)
composite number 合成数
589188271016196418755982851400425290044868716214254478176373595997429189539806169158448184534312221704802966711053<114>
prime factors 素因数
601837665896919557395925583615543655451<39>
978982048486660058287929108948341402249506003603608875153900251640411379703<75>
factorization results 素因数分解の結果
12/20/14 05:35:24 v1.34.3, 
12/20/14 05:35:24 v1.34.3, ****************************
12/20/14 05:35:24 v1.34.3, Starting factorization of 589188271016196418755982851400425290044868716214254478176373595997429189539806169158448184534312221704802966711053
12/20/14 05:35:24 v1.34.3, using pretesting plan: none
12/20/14 05:35:24 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/20/14 05:35:24 v1.34.3, ****************************
12/20/14 05:35:24 v1.34.3, nfs: commencing nfs on c114: 589188271016196418755982851400425290044868716214254478176373595997429189539806169158448184534312221704802966711053
12/20/14 05:35:24 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/20/14 05:35:24 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 05:36:26 v1.34.3, nfs: commencing lattice sieving with 8 threads
[34 lines snipped]
12/20/14 06:10:14 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 06:10:53 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 06:11:30 v1.34.3, nfs: commencing msieve filtering
12/20/14 06:12:19 v1.34.3, nfs: commencing msieve linear algebra
12/20/14 06:14:10 v1.34.3, nfs: commencing msieve sqrt
12/20/14 06:14:22 v1.34.3, prp75 = 978982048486660058287929108948341402249506003603608875153900251640411379703
12/20/14 06:14:22 v1.34.3, prp39 = 601837665896919557395925583615543655451
12/20/14 06:14:22 v1.34.3, NFS elapsed time = 2338.3794 seconds.
12/20/14 06:14:22 v1.34.3, 
12/20/14 06:14:22 v1.34.3, 
12/20/14 06:14:22 v1.34.3, Total factoring time = 2338.3803 seconds
--
Sat Dec 20 06:11:30 2014  
Sat Dec 20 06:11:30 2014  commencing relation filtering
Sat Dec 20 06:11:30 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 06:11:30 2014  commencing duplicate removal, pass 1
Sat Dec 20 06:11:41 2014  found 601846 hash collisions in 4556946 relations
Sat Dec 20 06:11:45 2014  added 170452 free relations
Sat Dec 20 06:11:45 2014  commencing duplicate removal, pass 2
Sat Dec 20 06:11:48 2014  found 424549 duplicates and 4302849 unique relations
Sat Dec 20 06:11:48 2014  memory use: 20.6 MB
Sat Dec 20 06:11:48 2014  reading ideals above 100000
Sat Dec 20 06:11:48 2014  commencing singleton removal, initial pass
Sat Dec 20 06:12:06 2014  memory use: 94.1 MB
Sat Dec 20 06:12:06 2014  reading all ideals from disk
Sat Dec 20 06:12:06 2014  memory use: 128.3 MB
Sat Dec 20 06:12:06 2014  keeping 4126021 ideals with weight <= 200, target excess is 23554
Sat Dec 20 06:12:07 2014  commencing in-memory singleton removal
Sat Dec 20 06:12:07 2014  begin with 4302849 relations and 4126021 unique ideals
Sat Dec 20 06:12:09 2014  reduce to 2184302 relations and 1433332 ideals in 8 passes
Sat Dec 20 06:12:09 2014  max relations containing the same ideal: 125
Sat Dec 20 06:12:10 2014  removing 876900 relations and 515076 ideals in 361824 cliques
Sat Dec 20 06:12:10 2014  commencing in-memory singleton removal
Sat Dec 20 06:12:10 2014  begin with 1307402 relations and 1433332 unique ideals
Sat Dec 20 06:12:11 2014  reduce to 1231499 relations and 833086 ideals in 6 passes
Sat Dec 20 06:12:11 2014  max relations containing the same ideal: 85
Sat Dec 20 06:12:11 2014  removing 392587 relations and 216346 ideals in 176241 cliques
Sat Dec 20 06:12:11 2014  commencing in-memory singleton removal
Sat Dec 20 06:12:11 2014  begin with 838912 relations and 833086 unique ideals
Sat Dec 20 06:12:12 2014  reduce to 809630 relations and 585048 ideals in 6 passes
Sat Dec 20 06:12:12 2014  max relations containing the same ideal: 62
Sat Dec 20 06:12:12 2014  removing 193671 relations and 106833 ideals in 86838 cliques
Sat Dec 20 06:12:12 2014  commencing in-memory singleton removal
Sat Dec 20 06:12:12 2014  begin with 615959 relations and 585048 unique ideals
Sat Dec 20 06:12:12 2014  reduce to 597536 relations and 458554 ideals in 5 passes
Sat Dec 20 06:12:12 2014  max relations containing the same ideal: 49
Sat Dec 20 06:12:12 2014  removing 140380 relations and 77401 ideals in 62979 cliques
Sat Dec 20 06:12:12 2014  commencing in-memory singleton removal
Sat Dec 20 06:12:12 2014  begin with 457156 relations and 458554 unique ideals
Sat Dec 20 06:12:13 2014  reduce to 442125 relations and 365154 ideals in 5 passes
Sat Dec 20 06:12:13 2014  max relations containing the same ideal: 39
Sat Dec 20 06:12:13 2014  removing 110649 relations and 61589 ideals in 49060 cliques
Sat Dec 20 06:12:13 2014  commencing in-memory singleton removal
Sat Dec 20 06:12:13 2014  begin with 331476 relations and 365154 unique ideals
Sat Dec 20 06:12:13 2014  reduce to 317244 relations and 288257 ideals in 6 passes
Sat Dec 20 06:12:13 2014  max relations containing the same ideal: 30
Sat Dec 20 06:12:13 2014  relations with 0 large ideals: 486
Sat Dec 20 06:12:13 2014  relations with 1 large ideals: 760
Sat Dec 20 06:12:13 2014  relations with 2 large ideals: 6444
Sat Dec 20 06:12:13 2014  relations with 3 large ideals: 27379
Sat Dec 20 06:12:13 2014  relations with 4 large ideals: 64822
Sat Dec 20 06:12:13 2014  relations with 5 large ideals: 89549
Sat Dec 20 06:12:13 2014  relations with 6 large ideals: 78630
Sat Dec 20 06:12:13 2014  relations with 7+ large ideals: 49174
Sat Dec 20 06:12:13 2014  commencing 2-way merge
Sat Dec 20 06:12:13 2014  reduce to 265476 relation sets and 236489 unique ideals
Sat Dec 20 06:12:13 2014  commencing full merge
Sat Dec 20 06:12:17 2014  memory use: 27.2 MB
Sat Dec 20 06:12:17 2014  found 119262 cycles, need 114689
Sat Dec 20 06:12:17 2014  weight of 114689 cycles is about 8434356 (73.54/cycle)
Sat Dec 20 06:12:17 2014  distribution of cycle lengths:
Sat Dec 20 06:12:17 2014  1 relations: 5532
Sat Dec 20 06:12:17 2014  2 relations: 9548
Sat Dec 20 06:12:17 2014  3 relations: 11717
Sat Dec 20 06:12:17 2014  4 relations: 11896
Sat Dec 20 06:12:17 2014  5 relations: 11860
Sat Dec 20 06:12:17 2014  6 relations: 10495
Sat Dec 20 06:12:17 2014  7 relations: 9402
Sat Dec 20 06:12:17 2014  8 relations: 8393
Sat Dec 20 06:12:17 2014  9 relations: 6916
Sat Dec 20 06:12:17 2014  10+ relations: 28930
Sat Dec 20 06:12:17 2014  heaviest cycle: 21 relations
Sat Dec 20 06:12:17 2014  commencing cycle optimization
Sat Dec 20 06:12:17 2014  start with 796360 relations
Sat Dec 20 06:12:19 2014  pruned 48926 relations
Sat Dec 20 06:12:19 2014  memory use: 20.9 MB
Sat Dec 20 06:12:19 2014  distribution of cycle lengths:
Sat Dec 20 06:12:19 2014  1 relations: 5532
Sat Dec 20 06:12:19 2014  2 relations: 9938
Sat Dec 20 06:12:19 2014  3 relations: 12611
Sat Dec 20 06:12:19 2014  4 relations: 12830
Sat Dec 20 06:12:19 2014  5 relations: 12696
Sat Dec 20 06:12:19 2014  6 relations: 11272
Sat Dec 20 06:12:19 2014  7 relations: 9977
Sat Dec 20 06:12:19 2014  8 relations: 8543
Sat Dec 20 06:12:19 2014  9 relations: 7132
Sat Dec 20 06:12:19 2014  10+ relations: 24158
Sat Dec 20 06:12:19 2014  heaviest cycle: 21 relations
Sat Dec 20 06:12:19 2014  RelProcTime: 49
Sat Dec 20 06:12:19 2014  
Sat Dec 20 06:12:19 2014  commencing linear algebra
Sat Dec 20 06:12:19 2014  read 114689 cycles
Sat Dec 20 06:12:19 2014  cycles contain 300286 unique relations
Sat Dec 20 06:12:24 2014  read 300286 relations
Sat Dec 20 06:12:24 2014  using 20 quadratic characters above 67080968
Sat Dec 20 06:12:25 2014  building initial matrix
Sat Dec 20 06:12:28 2014  memory use: 37.5 MB
Sat Dec 20 06:12:28 2014  read 114689 cycles
Sat Dec 20 06:12:28 2014  matrix is 114511 x 114689 (34.3 MB) with weight 10241129 (89.29/col)
Sat Dec 20 06:12:28 2014  sparse part has weight 7721418 (67.32/col)
Sat Dec 20 06:12:29 2014  filtering completed in 2 passes
Sat Dec 20 06:12:29 2014  matrix is 114450 x 114628 (34.3 MB) with weight 10238144 (89.32/col)
Sat Dec 20 06:12:29 2014  sparse part has weight 7719818 (67.35/col)
Sat Dec 20 06:12:29 2014  matrix starts at (0, 0)
Sat Dec 20 06:12:30 2014  matrix is 114450 x 114628 (34.3 MB) with weight 10238144 (89.32/col)
Sat Dec 20 06:12:30 2014  sparse part has weight 7719818 (67.35/col)
Sat Dec 20 06:12:30 2014  saving the first 48 matrix rows for later
Sat Dec 20 06:12:30 2014  matrix includes 64 packed rows
Sat Dec 20 06:12:30 2014  matrix is 114402 x 114628 (32.1 MB) with weight 8046760 (70.20/col)
Sat Dec 20 06:12:30 2014  sparse part has weight 7259758 (63.33/col)
Sat Dec 20 06:12:30 2014  using block size 45760 for processor cache size 8192 kB
Sat Dec 20 06:12:30 2014  commencing Lanczos iteration
Sat Dec 20 06:12:30 2014  memory use: 24.0 MB
Sat Dec 20 06:12:41 2014  linear algebra at 10.6%, ETA 0h 1m
Sat Dec 20 06:14:10 2014  lanczos halted after 1811 iterations (dim = 114402)
Sat Dec 20 06:14:10 2014  recovered 39 nontrivial dependencies
Sat Dec 20 06:14:10 2014  BLanczosTime: 111
Sat Dec 20 06:14:10 2014  
Sat Dec 20 06:14:10 2014  commencing square root phase
Sat Dec 20 06:14:10 2014  reading relations for dependency 1
Sat Dec 20 06:14:10 2014  read 57541 cycles
Sat Dec 20 06:14:10 2014  cycles contain 150628 unique relations
Sat Dec 20 06:14:14 2014  read 150628 relations
Sat Dec 20 06:14:14 2014  multiplying 150628 relations
Sat Dec 20 06:14:18 2014  multiply complete, coefficients have about 4.07 million bits
Sat Dec 20 06:14:18 2014  initial square root is modulo 2358180001
Sat Dec 20 06:14:22 2014  sqrtTime: 12
--
n: 589188271016196418755982851400425290044868716214254478176373595997429189539806169158448184534312221704802966711053
m: 20000000000000000000000000
deg: 5
c5: 350
c0: -1
skew: 0.31
# Murphy_E = 8.327e-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
351e6904118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 19, 2014 14:03:32 UTC 2014 年 12 月 19 日 (金) 23 時 3 分 32 秒 (日本時間)

112×10128-13

c130

name 名前KTakahashi
date 日付December 19, 2014 14:19:44 UTC 2014 年 12 月 19 日 (金) 23 時 19 分 44 秒 (日本時間)
composite number 合成数
3733333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<130>
prime factors 素因数
70847839730510526456646236661819<32>
22256813936627587328522622865295156646430307<44>
2367593616449692135580174232698285015785916835163135301<55>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM]
Input number is 3733333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333 (130 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=993326215
Step 1 took 2995ms
Step 2 took 1778ms
********** Factor found in step 2: 70847839730510526456646236661819
Found probable prime factor of 32 digits: 70847839730510526456646236661819
Composite cofactor 52695090598868018518865301001102132323323513492111399527301156715462885438780733758875903707967407 has 98 digits

Number: 37333_128
N=52695090598868018518865301001102132323323513492111399527301156715462885438780733758875903707967407
  ( 98 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=22256813936627587328522622865295156646430307 (pp44)
 r2=2367593616449692135580174232698285015785916835163135301 (pp55)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 2.83 hours.
Scaled time: 4.93 units (timescale=1.742).
Factorization parameters were as follows:
n: 52695090598868018518865301001102132323323513492111399527301156715462885438780733758875903707967407
m: 100000000000000000000000000
c5: 28
c0: -25
skew: 0.98
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [400000, 900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 115606 x 115853
Total sieving time: 2.76 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,131.000,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 2.83 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 19, 2014 14:17:27 UTC 2014 年 12 月 19 日 (金) 23 時 17 分 27 秒 (日本時間)

112×10129-13

c118

name 名前KTakahashi
date 日付December 19, 2014 14:23:40 UTC 2014 年 12 月 19 日 (金) 23 時 23 分 40 秒 (日本時間)
composite number 合成数
1531510458636937135668401886188043111582773770911654731730784657243119782021417240149053893727755683888465547895749167<118>
prime factors 素因数
123713799273277868256389404584884551<36>
18288673633770126763589347269568588447<38>
676892360609046468584525857055617514678488711<45>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM]
Input number is 1531510458636937135668401886188043111582773770911654731730784657243119782021417240149053893727755683888465547895749167 (118 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=384179334
Step 1 took 3120ms
Step 2 took 1841ms
********** Factor found in step 2: 123713799273277868256389404584884551
Found probable prime factor of 36 digits: 123713799273277868256389404584884551
Composite cofactor 12379463468371088894247779203624159034476756703938228968413404783172221859494521817 has 83 digits

Msieve v. 1.51 (SVN Official Release)
Tue Dec 16 22:41:56 2014
random seeds: 17e954c0 0c4b8a1c
factoring 12379463468371088894247779203624159034476756703938228968413404783172221859494521817 (83 digits)
searching for 15-digit factors
commencing quadratic sieve (83-digit input)
using multiplier of 73
using VC8 64kb sieve core
sieve interval: 6 blocks of size 65536
processing polynomials in batches of 17
using a sieve bound of 1358743 (52059 primes)
using large prime bound of 125004356 (26 bits)
using trial factoring cutoff of 27 bits
polynomial 'A' values have 11 factors
52297 relations (27351 full + 24946 combined from 271828 partial), need 52155
begin with 299179 relations
reduce to 74066 relations in 2 passes
attempting to read 74066 relations
recovered 74066 relations
recovered 67011 polynomials
attempting to build 52297 cycles
found 52297 cycles in 1 passes
distribution of cycle lengths:
   length 1 : 27351
   length 2 : 24946
largest cycle: 2 relations
matrix is 52059 x 52297 (8.0 MB) with weight 1678010 (32.09/col)
sparse part has weight 1678010 (32.09/col)
filtering completed in 4 passes
matrix is 37433 x 37497 (6.2 MB) with weight 1332457 (35.54/col)
sparse part has weight 1332457 (35.54/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 37385 x 37497 (4.1 MB) with weight 978635 (26.10/col)
sparse part has weight 686832 (18.32/col)
using block size 14954 for processor cache size 1024 kB
commencing Lanczos iteration
memory use: 2.3 MB
lanczos halted after 593 iterations (dim = 37382)
recovered 16 nontrivial dependencies
prp38 factor: 18288673633770126763589347269568588447
prp45 factor: 676892360609046468584525857055617514678488711
elapsed time 00:18:41

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)

112×10133-13

c104

name 名前Cyp
date 日付December 20, 2014 13:09:20 UTC 2014 年 12 月 20 日 (土) 22 時 9 分 20 秒 (日本時間)
composite number 合成数
30518028603254860862301662768278780787004745771279247020003952421603162879519745182817727031189513958733<104>
prime factors 素因数
3947016854099028470285014480944285826258677179<46>
7731922545899820573763121020730112749386678941632905983127<58>
factorization results 素因数分解の結果
12/20/14 13:06:09 v1.34.3, 
12/20/14 13:06:09 v1.34.3, ****************************
12/20/14 13:06:09 v1.34.3, Starting factorization of 30518028603254860862301662768278780787004745771279247020003952421603162879519745182817727031189513958733
12/20/14 13:06:09 v1.34.3, using pretesting plan: none
12/20/14 13:06:09 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/20/14 13:06:09 v1.34.3, ****************************
12/20/14 13:06:09 v1.34.3, nfs: commencing nfs on c104: 30518028603254860862301662768278780787004745771279247020003952421603162879519745182817727031189513958733
12/20/14 13:06:09 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/20/14 13:06:09 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 13:06:29 v1.34.3, nfs: commencing lattice sieving with 8 threads
[153 lines snipped]
12/20/14 14:03:13 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 14:03:37 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 14:04:01 v1.34.3, nfs: commencing msieve filtering
12/20/14 14:05:20 v1.34.3, nfs: commencing msieve linear algebra
12/20/14 14:08:55 v1.34.3, nfs: commencing msieve sqrt
12/20/14 14:09:19 v1.34.3, prp46 = 3947016854099028470285014480944285826258677179
12/20/14 14:09:19 v1.34.3, prp58 = 7731922545899820573763121020730112749386678941632905983127
12/20/14 14:09:19 v1.34.3, NFS elapsed time = 3790.3945 seconds.
12/20/14 14:09:19 v1.34.3, 
12/20/14 14:09:19 v1.34.3, 
12/20/14 14:09:19 v1.34.3, Total factoring time = 3790.3953 seconds
--
Sat Dec 20 14:04:01 2014  
Sat Dec 20 14:04:01 2014  commencing relation filtering
Sat Dec 20 14:04:01 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 14:04:01 2014  commencing duplicate removal, pass 1
Sat Dec 20 14:04:23 2014  found 753483 hash collisions in 4484147 relations
Sat Dec 20 14:04:30 2014  added 173148 free relations
Sat Dec 20 14:04:30 2014  commencing duplicate removal, pass 2
Sat Dec 20 14:04:35 2014  found 642382 duplicates and 4014913 unique relations
Sat Dec 20 14:04:35 2014  memory use: 20.6 MB
Sat Dec 20 14:04:35 2014  reading ideals above 100000
Sat Dec 20 14:04:35 2014  commencing singleton removal, initial pass
Sat Dec 20 14:05:05 2014  memory use: 94.1 MB
Sat Dec 20 14:05:05 2014  reading all ideals from disk
Sat Dec 20 14:05:05 2014  memory use: 121.1 MB
Sat Dec 20 14:05:06 2014  keeping 4259903 ideals with weight <= 200, target excess is 20643
Sat Dec 20 14:05:06 2014  commencing in-memory singleton removal
Sat Dec 20 14:05:06 2014  begin with 4014913 relations and 4259903 unique ideals
Sat Dec 20 14:05:09 2014  reduce to 1758950 relations and 1377148 ideals in 13 passes
Sat Dec 20 14:05:09 2014  max relations containing the same ideal: 116
Sat Dec 20 14:05:09 2014  removing 542106 relations and 363178 ideals in 178928 cliques
Sat Dec 20 14:05:10 2014  commencing in-memory singleton removal
Sat Dec 20 14:05:10 2014  begin with 1216844 relations and 1377148 unique ideals
Sat Dec 20 14:05:10 2014  reduce to 1127686 relations and 914186 ideals in 8 passes
Sat Dec 20 14:05:10 2014  max relations containing the same ideal: 88
Sat Dec 20 14:05:10 2014  removing 457333 relations and 278405 ideals in 178928 cliques
Sat Dec 20 14:05:11 2014  commencing in-memory singleton removal
Sat Dec 20 14:05:11 2014  begin with 670353 relations and 914186 unique ideals
Sat Dec 20 14:05:11 2014  reduce to 600089 relations and 555541 ideals in 10 passes
Sat Dec 20 14:05:11 2014  max relations containing the same ideal: 58
Sat Dec 20 14:05:11 2014  removing 73782 relations and 53180 ideals in 20602 cliques
Sat Dec 20 14:05:11 2014  commencing in-memory singleton removal
Sat Dec 20 14:05:11 2014  begin with 526307 relations and 555541 unique ideals
Sat Dec 20 14:05:11 2014  reduce to 518281 relations and 493996 ideals in 6 passes
Sat Dec 20 14:05:11 2014  max relations containing the same ideal: 54
Sat Dec 20 14:05:12 2014  relations with 0 large ideals: 479
Sat Dec 20 14:05:12 2014  relations with 1 large ideals: 339
Sat Dec 20 14:05:12 2014  relations with 2 large ideals: 5316
Sat Dec 20 14:05:12 2014  relations with 3 large ideals: 31019
Sat Dec 20 14:05:12 2014  relations with 4 large ideals: 90410
Sat Dec 20 14:05:12 2014  relations with 5 large ideals: 146210
Sat Dec 20 14:05:12 2014  relations with 6 large ideals: 143068
Sat Dec 20 14:05:12 2014  relations with 7+ large ideals: 101440
Sat Dec 20 14:05:12 2014  commencing 2-way merge
Sat Dec 20 14:05:12 2014  reduce to 355898 relation sets and 331613 unique ideals
Sat Dec 20 14:05:12 2014  commencing full merge
Sat Dec 20 14:05:17 2014  memory use: 40.9 MB
Sat Dec 20 14:05:17 2014  found 177101 cycles, need 173813
Sat Dec 20 14:05:17 2014  weight of 173813 cycles is about 12223413 (70.33/cycle)
Sat Dec 20 14:05:17 2014  distribution of cycle lengths:
Sat Dec 20 14:05:17 2014  1 relations: 6881
Sat Dec 20 14:05:17 2014  2 relations: 13456
Sat Dec 20 14:05:17 2014  3 relations: 17824
Sat Dec 20 14:05:17 2014  4 relations: 19164
Sat Dec 20 14:05:17 2014  5 relations: 19316
Sat Dec 20 14:05:17 2014  6 relations: 17781
Sat Dec 20 14:05:17 2014  7 relations: 16033
Sat Dec 20 14:05:17 2014  8 relations: 13764
Sat Dec 20 14:05:17 2014  9 relations: 11654
Sat Dec 20 14:05:17 2014  10+ relations: 37940
Sat Dec 20 14:05:17 2014  heaviest cycle: 21 relations
Sat Dec 20 14:05:17 2014  commencing cycle optimization
Sat Dec 20 14:05:17 2014  start with 1163910 relations
Sat Dec 20 14:05:19 2014  pruned 43249 relations
Sat Dec 20 14:05:19 2014  memory use: 33.7 MB
Sat Dec 20 14:05:19 2014  distribution of cycle lengths:
Sat Dec 20 14:05:19 2014  1 relations: 6881
Sat Dec 20 14:05:19 2014  2 relations: 13830
Sat Dec 20 14:05:19 2014  3 relations: 18555
Sat Dec 20 14:05:19 2014  4 relations: 19950
Sat Dec 20 14:05:19 2014  5 relations: 20163
Sat Dec 20 14:05:19 2014  6 relations: 18602
Sat Dec 20 14:05:19 2014  7 relations: 16589
Sat Dec 20 14:05:19 2014  8 relations: 14145
Sat Dec 20 14:05:19 2014  9 relations: 11701
Sat Dec 20 14:05:19 2014  10+ relations: 33397
Sat Dec 20 14:05:19 2014  heaviest cycle: 21 relations
Sat Dec 20 14:05:20 2014  RelProcTime: 79
Sat Dec 20 14:05:20 2014  
Sat Dec 20 14:05:20 2014  commencing linear algebra
Sat Dec 20 14:05:20 2014  read 173813 cycles
Sat Dec 20 14:05:20 2014  cycles contain 505587 unique relations
Sat Dec 20 14:05:26 2014  read 505587 relations
Sat Dec 20 14:05:26 2014  using 20 quadratic characters above 67099272
Sat Dec 20 14:05:29 2014  building initial matrix
Sat Dec 20 14:05:34 2014  memory use: 62.0 MB
Sat Dec 20 14:05:34 2014  read 173813 cycles
Sat Dec 20 14:05:34 2014  matrix is 173640 x 173813 (51.4 MB) with weight 15312572 (88.10/col)
Sat Dec 20 14:05:34 2014  sparse part has weight 11553361 (66.47/col)
Sat Dec 20 14:05:35 2014  filtering completed in 2 passes
Sat Dec 20 14:05:35 2014  matrix is 173613 x 173786 (51.4 MB) with weight 15311511 (88.11/col)
Sat Dec 20 14:05:35 2014  sparse part has weight 11552872 (66.48/col)
Sat Dec 20 14:05:36 2014  matrix starts at (0, 0)
Sat Dec 20 14:05:36 2014  matrix is 173613 x 173786 (51.4 MB) with weight 15311511 (88.11/col)
Sat Dec 20 14:05:36 2014  sparse part has weight 11552872 (66.48/col)
Sat Dec 20 14:05:36 2014  saving the first 48 matrix rows for later
Sat Dec 20 14:05:36 2014  matrix includes 64 packed rows
Sat Dec 20 14:05:36 2014  matrix is 173565 x 173786 (48.1 MB) with weight 12032515 (69.24/col)
Sat Dec 20 14:05:36 2014  sparse part has weight 10875164 (62.58/col)
Sat Dec 20 14:05:36 2014  using block size 65536 for processor cache size 8192 kB
Sat Dec 20 14:05:36 2014  commencing Lanczos iteration
Sat Dec 20 14:05:36 2014  memory use: 36.1 MB
Sat Dec 20 14:05:52 2014  linear algebra at 7.0%, ETA 0h 3m
Sat Dec 20 14:08:55 2014  lanczos halted after 2746 iterations (dim = 173561)
Sat Dec 20 14:08:55 2014  recovered 39 nontrivial dependencies
Sat Dec 20 14:08:55 2014  BLanczosTime: 215
Sat Dec 20 14:08:55 2014  
Sat Dec 20 14:08:55 2014  commencing square root phase
Sat Dec 20 14:08:55 2014  reading relations for dependency 1
Sat Dec 20 14:08:55 2014  read 86788 cycles
Sat Dec 20 14:08:55 2014  cycles contain 252748 unique relations
Sat Dec 20 14:09:00 2014  read 252748 relations
Sat Dec 20 14:09:01 2014  multiplying 252748 relations
Sat Dec 20 14:09:09 2014  multiply complete, coefficients have about 7.46 million bits
Sat Dec 20 14:09:09 2014  initial square root is modulo 379955581
Sat Dec 20 14:09:19 2014  sqrtTime: 24
--
n: 30518028603254860862301662768278780787004745771279247020003952421603162879519745182817727031189513958733
m: 200000000000000000000000000
deg: 5
c5: 3500
c0: -1
skew: 0.20
# Murphy_E = 5.03e-09
type: snfs
lss: 1
rlim: 1250000
alim: 1250000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 19, 2014 15:31:48 UTC 2014 年 12 月 20 日 (土) 0 時 31 分 48 秒 (日本時間)

112×10137-13

c123

name 名前Cyp
date 日付December 20, 2014 20:28:05 UTC 2014 年 12 月 21 日 (日) 5 時 28 分 5 秒 (日本時間)
composite number 合成数
127089402157583113988209883380826575736378146547482812050881884974838770752707023001300618630768260967251535460340525115253<123>
prime factors 素因数
1123536890825522245450375633455866820764780221<46>
113115468833607927338743532332753763287927395807204073482275128930595846400793<78>
factorization results 素因数分解の結果
12/20/14 20:26:49 v1.34.3, 
12/20/14 20:26:49 v1.34.3, ****************************
12/20/14 20:26:49 v1.34.3, Starting factorization of 127089402157583113988209883380826575736378146547482812050881884974838770752707023001300618630768260967251535460340525115253
12/20/14 20:26:49 v1.34.3, using pretesting plan: none
12/20/14 20:26:49 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/20/14 20:26:49 v1.34.3, ****************************
12/20/14 20:26:49 v1.34.3, nfs: commencing nfs on c123: 127089402157583113988209883380826575736378146547482812050881884974838770752707023001300618630768260967251535460340525115253
12/20/14 20:26:49 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/20/14 20:26:49 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 20:28:12 v1.34.3, nfs: commencing lattice sieving with 8 threads
[43 lines snipped]
12/20/14 21:18:51 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 21:20:21 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 21:21:50 v1.34.3, nfs: commencing msieve filtering
12/20/14 21:23:12 v1.34.3, nfs: commencing msieve linear algebra
12/20/14 21:27:39 v1.34.3, nfs: commencing msieve sqrt
12/20/14 21:28:05 v1.34.3, prp78 = 113115468833607927338743532332753763287927395807204073482275128930595846400793
12/20/14 21:28:05 v1.34.3, prp46 = 1123536890825522245450375633455866820764780221
12/20/14 21:28:05 v1.34.3, NFS elapsed time = 3675.3594 seconds.
12/20/14 21:28:05 v1.34.3, 
12/20/14 21:28:05 v1.34.3, 
12/20/14 21:28:05 v1.34.3, Total factoring time = 3675.3630 seconds
--
Sat Dec 20 21:21:50 2014  
Sat Dec 20 21:21:50 2014  commencing relation filtering
Sat Dec 20 21:21:50 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 21:21:50 2014  commencing duplicate removal, pass 1
Sat Dec 20 21:22:12 2014  found 629046 hash collisions in 4486802 relations
Sat Dec 20 21:22:19 2014  added 178233 free relations
Sat Dec 20 21:22:19 2014  commencing duplicate removal, pass 2
Sat Dec 20 21:22:25 2014  found 468655 duplicates and 4196380 unique relations
Sat Dec 20 21:22:25 2014  memory use: 20.6 MB
Sat Dec 20 21:22:25 2014  reading ideals above 100000
Sat Dec 20 21:22:25 2014  commencing singleton removal, initial pass
Sat Dec 20 21:22:57 2014  memory use: 94.1 MB
Sat Dec 20 21:22:57 2014  reading all ideals from disk
Sat Dec 20 21:22:57 2014  memory use: 131.9 MB
Sat Dec 20 21:22:57 2014  keeping 4438378 ideals with weight <= 200, target excess is 22318
Sat Dec 20 21:22:58 2014  commencing in-memory singleton removal
Sat Dec 20 21:22:58 2014  begin with 4196380 relations and 4438378 unique ideals
Sat Dec 20 21:23:00 2014  reduce to 1874797 relations and 1497576 ideals in 10 passes
Sat Dec 20 21:23:00 2014  max relations containing the same ideal: 114
Sat Dec 20 21:23:01 2014  removing 550161 relations and 374495 ideals in 175666 cliques
Sat Dec 20 21:23:01 2014  commencing in-memory singleton removal
Sat Dec 20 21:23:01 2014  begin with 1324636 relations and 1497576 unique ideals
Sat Dec 20 21:23:02 2014  reduce to 1230151 relations and 1018193 ideals in 7 passes
Sat Dec 20 21:23:02 2014  max relations containing the same ideal: 87
Sat Dec 20 21:23:02 2014  removing 467885 relations and 292219 ideals in 175666 cliques
Sat Dec 20 21:23:02 2014  commencing in-memory singleton removal
Sat Dec 20 21:23:02 2014  begin with 762266 relations and 1018193 unique ideals
Sat Dec 20 21:23:03 2014  reduce to 677015 relations and 629278 ideals in 8 passes
Sat Dec 20 21:23:03 2014  max relations containing the same ideal: 59
Sat Dec 20 21:23:03 2014  removing 85677 relations and 63829 ideals in 21848 cliques
Sat Dec 20 21:23:03 2014  commencing in-memory singleton removal
Sat Dec 20 21:23:03 2014  begin with 591338 relations and 629278 unique ideals
Sat Dec 20 21:23:03 2014  reduce to 582055 relations and 555819 ideals in 6 passes
Sat Dec 20 21:23:03 2014  max relations containing the same ideal: 53
Sat Dec 20 21:23:04 2014  relations with 0 large ideals: 492
Sat Dec 20 21:23:04 2014  relations with 1 large ideals: 225
Sat Dec 20 21:23:04 2014  relations with 2 large ideals: 3516
Sat Dec 20 21:23:04 2014  relations with 3 large ideals: 23820
Sat Dec 20 21:23:04 2014  relations with 4 large ideals: 79654
Sat Dec 20 21:23:04 2014  relations with 5 large ideals: 150085
Sat Dec 20 21:23:04 2014  relations with 6 large ideals: 170578
Sat Dec 20 21:23:04 2014  relations with 7+ large ideals: 153685
Sat Dec 20 21:23:04 2014  commencing 2-way merge
Sat Dec 20 21:23:04 2014  reduce to 377630 relation sets and 351394 unique ideals
Sat Dec 20 21:23:04 2014  commencing full merge
Sat Dec 20 21:23:09 2014  memory use: 46.7 MB
Sat Dec 20 21:23:10 2014  found 191141 cycles, need 187594
Sat Dec 20 21:23:10 2014  weight of 187594 cycles is about 13447179 (71.68/cycle)
Sat Dec 20 21:23:10 2014  distribution of cycle lengths:
Sat Dec 20 21:23:10 2014  1 relations: 10749
Sat Dec 20 21:23:10 2014  2 relations: 15560
Sat Dec 20 21:23:10 2014  3 relations: 18899
Sat Dec 20 21:23:10 2014  4 relations: 19580
Sat Dec 20 21:23:10 2014  5 relations: 19469
Sat Dec 20 21:23:10 2014  6 relations: 18616
Sat Dec 20 21:23:10 2014  7 relations: 16576
Sat Dec 20 21:23:10 2014  8 relations: 14375
Sat Dec 20 21:23:10 2014  9 relations: 12075
Sat Dec 20 21:23:10 2014  10+ relations: 41695
Sat Dec 20 21:23:10 2014  heaviest cycle: 21 relations
Sat Dec 20 21:23:10 2014  commencing cycle optimization
Sat Dec 20 21:23:10 2014  start with 1244119 relations
Sat Dec 20 21:23:12 2014  pruned 45661 relations
Sat Dec 20 21:23:12 2014  memory use: 36.8 MB
Sat Dec 20 21:23:12 2014  distribution of cycle lengths:
Sat Dec 20 21:23:12 2014  1 relations: 10749
Sat Dec 20 21:23:12 2014  2 relations: 15920
Sat Dec 20 21:23:12 2014  3 relations: 19631
Sat Dec 20 21:23:12 2014  4 relations: 20412
Sat Dec 20 21:23:12 2014  5 relations: 20360
Sat Dec 20 21:23:12 2014  6 relations: 19232
Sat Dec 20 21:23:12 2014  7 relations: 17280
Sat Dec 20 21:23:12 2014  8 relations: 14824
Sat Dec 20 21:23:12 2014  9 relations: 12153
Sat Dec 20 21:23:12 2014  10+ relations: 37033
Sat Dec 20 21:23:12 2014  heaviest cycle: 20 relations
Sat Dec 20 21:23:12 2014  RelProcTime: 82
Sat Dec 20 21:23:12 2014  
Sat Dec 20 21:23:12 2014  commencing linear algebra
Sat Dec 20 21:23:12 2014  read 187594 cycles
Sat Dec 20 21:23:13 2014  cycles contain 566645 unique relations
Sat Dec 20 21:23:19 2014  read 566645 relations
Sat Dec 20 21:23:19 2014  using 20 quadratic characters above 67100282
Sat Dec 20 21:23:22 2014  building initial matrix
Sat Dec 20 21:23:27 2014  memory use: 69.2 MB
Sat Dec 20 21:23:28 2014  read 187594 cycles
Sat Dec 20 21:23:28 2014  matrix is 187417 x 187594 (56.4 MB) with weight 16750404 (89.29/col)
Sat Dec 20 21:23:28 2014  sparse part has weight 12708548 (67.74/col)
Sat Dec 20 21:23:29 2014  filtering completed in 2 passes
Sat Dec 20 21:23:29 2014  matrix is 187393 x 187570 (56.3 MB) with weight 16749257 (89.30/col)
Sat Dec 20 21:23:29 2014  sparse part has weight 12707901 (67.75/col)
Sat Dec 20 21:23:29 2014  matrix starts at (0, 0)
Sat Dec 20 21:23:29 2014  matrix is 187393 x 187570 (56.3 MB) with weight 16749257 (89.30/col)
Sat Dec 20 21:23:29 2014  sparse part has weight 12707901 (67.75/col)
Sat Dec 20 21:23:29 2014  saving the first 48 matrix rows for later
Sat Dec 20 21:23:29 2014  matrix includes 64 packed rows
Sat Dec 20 21:23:29 2014  matrix is 187345 x 187570 (52.9 MB) with weight 13222121 (70.49/col)
Sat Dec 20 21:23:29 2014  sparse part has weight 11980282 (63.87/col)
Sat Dec 20 21:23:29 2014  using block size 65536 for processor cache size 8192 kB
Sat Dec 20 21:23:30 2014  commencing Lanczos iteration
Sat Dec 20 21:23:30 2014  memory use: 40.2 MB
Sat Dec 20 21:23:43 2014  linear algebra at 6.5%, ETA 0h 3m
Sat Dec 20 21:27:39 2014  lanczos halted after 2964 iterations (dim = 187343)
Sat Dec 20 21:27:39 2014  recovered 38 nontrivial dependencies
Sat Dec 20 21:27:39 2014  BLanczosTime: 267
Sat Dec 20 21:27:39 2014  
Sat Dec 20 21:27:39 2014  commencing square root phase
Sat Dec 20 21:27:39 2014  reading relations for dependency 1
Sat Dec 20 21:27:40 2014  read 94076 cycles
Sat Dec 20 21:27:40 2014  cycles contain 283700 unique relations
Sat Dec 20 21:27:45 2014  read 283700 relations
Sat Dec 20 21:27:46 2014  multiplying 283700 relations
Sat Dec 20 21:27:53 2014  multiply complete, coefficients have about 7.77 million bits
Sat Dec 20 21:27:53 2014  initial square root is modulo 851948491
Sat Dec 20 21:28:04 2014  sqrtTime: 25
--
n: 127089402157583113988209883380826575736378146547482812050881884974838770752707023001300618630768260967251535460340525115253
m: 2000000000000000000000000000
deg: 5
c5: 350
c0: -1
skew: 0.31
# Murphy_E = 3.603e-09
type: snfs
lss: 1
rlim: 1450000
alim: 1450000
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 15:31:59 UTC 2014 年 12 月 20 日 (土) 0 時 31 分 59 秒 (日本時間)

112×10139-13

c125

name 名前Cyp
date 日付December 21, 2014 03:38:33 UTC 2014 年 12 月 21 日 (日) 12 時 38 分 33 秒 (日本時間)
composite number 合成数
58350004735901165802075086318940959067982080977967634404340281614359814209843859390644407175294466869985173009811762930228381<125>
prime factors 素因数
942182794702321310036084117238401422838889515545738961<54>
61930662567805225422160960505563008608701312490792161031025396137438221<71>
factorization results 素因数分解の結果
12/21/14 03:37:54 v1.34.3, 
12/21/14 03:37:54 v1.34.3, ****************************
12/21/14 03:37:54 v1.34.3, Starting factorization of 58350004735901165802075086318940959067982080977967634404340281614359814209843859390644407175294466869985173009811762930228381
12/21/14 03:37:54 v1.34.3, using pretesting plan: none
12/21/14 03:37:54 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/21/14 03:37:54 v1.34.3, ****************************
12/21/14 03:37:54 v1.34.3, nfs: commencing nfs on c125: 58350004735901165802075086318940959067982080977967634404340281614359814209843859390644407175294466869985173009811762930228381
12/21/14 03:37:54 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/21/14 03:37:54 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 03:39:27 v1.34.3, nfs: commencing lattice sieving with 8 threads
[32 lines snipped]
12/21/14 04:29:30 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 04:30:55 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 04:32:33 v1.34.3, nfs: commencing msieve filtering
12/21/14 04:33:56 v1.34.3, nfs: commencing msieve linear algebra
12/21/14 04:37:48 v1.34.3, nfs: commencing msieve sqrt
12/21/14 04:38:32 v1.34.3, prp54 = 942182794702321310036084117238401422838889515545738961
12/21/14 04:38:32 v1.34.3, prp71 = 61930662567805225422160960505563008608701312490792161031025396137438221
12/21/14 04:38:32 v1.34.3, NFS elapsed time = 3638.3355 seconds.
12/21/14 04:38:32 v1.34.3, 
12/21/14 04:38:32 v1.34.3, 
12/21/14 04:38:32 v1.34.3, Total factoring time = 3638.3391 seconds
--
Sun Dec 21 04:32:33 2014  
Sun Dec 21 04:32:33 2014  commencing relation filtering
Sun Dec 21 04:32:33 2014  estimated available RAM is 15987.3 MB
Sun Dec 21 04:32:33 2014  commencing duplicate removal, pass 1
Sun Dec 21 04:32:55 2014  found 569930 hash collisions in 4531219 relations
Sun Dec 21 04:33:03 2014  added 180559 free relations
Sun Dec 21 04:33:03 2014  commencing duplicate removal, pass 2
Sun Dec 21 04:33:08 2014  found 382637 duplicates and 4329141 unique relations
Sun Dec 21 04:33:08 2014  memory use: 20.6 MB
Sun Dec 21 04:33:08 2014  reading ideals above 100000
Sun Dec 21 04:33:08 2014  commencing singleton removal, initial pass
Sun Dec 21 04:33:42 2014  memory use: 94.1 MB
Sun Dec 21 04:33:42 2014  reading all ideals from disk
Sun Dec 21 04:33:42 2014  memory use: 135.1 MB
Sun Dec 21 04:33:42 2014  keeping 4527833 ideals with weight <= 200, target excess is 22315
Sun Dec 21 04:33:42 2014  commencing in-memory singleton removal
Sun Dec 21 04:33:42 2014  begin with 4329141 relations and 4527833 unique ideals
Sun Dec 21 04:33:45 2014  reduce to 1968914 relations and 1554043 ideals in 11 passes
Sun Dec 21 04:33:45 2014  max relations containing the same ideal: 125
Sun Dec 21 04:33:45 2014  removing 596878 relations and 402385 ideals in 194493 cliques
Sun Dec 21 04:33:46 2014  commencing in-memory singleton removal
Sun Dec 21 04:33:46 2014  begin with 1372036 relations and 1554043 unique ideals
Sun Dec 21 04:33:46 2014  reduce to 1267801 relations and 1035293 ideals in 7 passes
Sun Dec 21 04:33:46 2014  max relations containing the same ideal: 90
Sun Dec 21 04:33:47 2014  removing 508871 relations and 314378 ideals in 194493 cliques
Sun Dec 21 04:33:47 2014  commencing in-memory singleton removal
Sun Dec 21 04:33:47 2014  begin with 758930 relations and 1035293 unique ideals
Sun Dec 21 04:33:47 2014  reduce to 663893 relations and 612292 ideals in 10 passes
Sun Dec 21 04:33:47 2014  max relations containing the same ideal: 56
Sun Dec 21 04:33:47 2014  removing 98326 relations and 72611 ideals in 25715 cliques
Sun Dec 21 04:33:47 2014  commencing in-memory singleton removal
Sun Dec 21 04:33:47 2014  begin with 565567 relations and 612292 unique ideals
Sun Dec 21 04:33:48 2014  reduce to 551577 relations and 525081 ideals in 9 passes
Sun Dec 21 04:33:48 2014  max relations containing the same ideal: 51
Sun Dec 21 04:33:48 2014  relations with 0 large ideals: 510
Sun Dec 21 04:33:48 2014  relations with 1 large ideals: 269
Sun Dec 21 04:33:48 2014  relations with 2 large ideals: 4051
Sun Dec 21 04:33:48 2014  relations with 3 large ideals: 25963
Sun Dec 21 04:33:48 2014  relations with 4 large ideals: 82648
Sun Dec 21 04:33:48 2014  relations with 5 large ideals: 146701
Sun Dec 21 04:33:48 2014  relations with 6 large ideals: 158988
Sun Dec 21 04:33:48 2014  relations with 7+ large ideals: 132447
Sun Dec 21 04:33:48 2014  commencing 2-way merge
Sun Dec 21 04:33:48 2014  reduce to 355836 relation sets and 329340 unique ideals
Sun Dec 21 04:33:48 2014  commencing full merge
Sun Dec 21 04:33:54 2014  memory use: 43.3 MB
Sun Dec 21 04:33:54 2014  found 177197 cycles, need 173540
Sun Dec 21 04:33:54 2014  weight of 173540 cycles is about 12539811 (72.26/cycle)
Sun Dec 21 04:33:54 2014  distribution of cycle lengths:
Sun Dec 21 04:33:54 2014  1 relations: 10784
Sun Dec 21 04:33:54 2014  2 relations: 14571
Sun Dec 21 04:33:54 2014  3 relations: 17214
Sun Dec 21 04:33:54 2014  4 relations: 17531
Sun Dec 21 04:33:54 2014  5 relations: 17461
Sun Dec 21 04:33:54 2014  6 relations: 16552
Sun Dec 21 04:33:54 2014  7 relations: 14878
Sun Dec 21 04:33:54 2014  8 relations: 12825
Sun Dec 21 04:33:54 2014  9 relations: 10914
Sun Dec 21 04:33:54 2014  10+ relations: 40810
Sun Dec 21 04:33:54 2014  heaviest cycle: 21 relations
Sun Dec 21 04:33:54 2014  commencing cycle optimization
Sun Dec 21 04:33:54 2014  start with 1169461 relations
Sun Dec 21 04:33:56 2014  pruned 42925 relations
Sun Dec 21 04:33:56 2014  memory use: 34.6 MB
Sun Dec 21 04:33:56 2014  distribution of cycle lengths:
Sun Dec 21 04:33:56 2014  1 relations: 10784
Sun Dec 21 04:33:56 2014  2 relations: 14921
Sun Dec 21 04:33:56 2014  3 relations: 17865
Sun Dec 21 04:33:56 2014  4 relations: 18161
Sun Dec 21 04:33:56 2014  5 relations: 18350
Sun Dec 21 04:33:56 2014  6 relations: 17256
Sun Dec 21 04:33:56 2014  7 relations: 15335
Sun Dec 21 04:33:56 2014  8 relations: 13120
Sun Dec 21 04:33:56 2014  9 relations: 11200
Sun Dec 21 04:33:56 2014  10+ relations: 36548
Sun Dec 21 04:33:56 2014  heaviest cycle: 21 relations
Sun Dec 21 04:33:56 2014  RelProcTime: 83
Sun Dec 21 04:33:56 2014  
Sun Dec 21 04:33:56 2014  commencing linear algebra
Sun Dec 21 04:33:56 2014  read 173540 cycles
Sun Dec 21 04:33:56 2014  cycles contain 534501 unique relations
Sun Dec 21 04:34:03 2014  read 534501 relations
Sun Dec 21 04:34:03 2014  using 20 quadratic characters above 67105502
Sun Dec 21 04:34:05 2014  building initial matrix
Sun Dec 21 04:34:11 2014  memory use: 67.3 MB
Sun Dec 21 04:34:11 2014  read 173540 cycles
Sun Dec 21 04:34:12 2014  matrix is 173373 x 173540 (52.4 MB) with weight 16180251 (93.24/col)
Sun Dec 21 04:34:12 2014  sparse part has weight 11827869 (68.16/col)
Sun Dec 21 04:34:13 2014  filtering completed in 2 passes
Sun Dec 21 04:34:13 2014  matrix is 173334 x 173509 (52.4 MB) with weight 16178580 (93.24/col)
Sun Dec 21 04:34:13 2014  sparse part has weight 11826958 (68.16/col)
Sun Dec 21 04:34:13 2014  matrix starts at (0, 0)
Sun Dec 21 04:34:13 2014  matrix is 173334 x 173509 (52.4 MB) with weight 16178580 (93.24/col)
Sun Dec 21 04:34:13 2014  sparse part has weight 11826958 (68.16/col)
Sun Dec 21 04:34:13 2014  saving the first 48 matrix rows for later
Sun Dec 21 04:34:13 2014  matrix includes 64 packed rows
Sun Dec 21 04:34:13 2014  matrix is 173286 x 173509 (49.8 MB) with weight 12779468 (73.65/col)
Sun Dec 21 04:34:13 2014  sparse part has weight 11321075 (65.25/col)
Sun Dec 21 04:34:13 2014  using block size 65536 for processor cache size 8192 kB
Sun Dec 21 04:34:14 2014  commencing Lanczos iteration
Sun Dec 21 04:34:14 2014  memory use: 37.6 MB
Sun Dec 21 04:34:30 2014  linear algebra at 7.0%, ETA 0h 3m
Sun Dec 21 04:37:48 2014  lanczos halted after 2741 iterations (dim = 173283)
Sun Dec 21 04:37:48 2014  recovered 35 nontrivial dependencies
Sun Dec 21 04:37:48 2014  BLanczosTime: 232
Sun Dec 21 04:37:48 2014  
Sun Dec 21 04:37:48 2014  commencing square root phase
Sun Dec 21 04:37:48 2014  reading relations for dependency 1
Sun Dec 21 04:37:48 2014  read 86333 cycles
Sun Dec 21 04:37:48 2014  cycles contain 266528 unique relations
Sun Dec 21 04:37:54 2014  read 266528 relations
Sun Dec 21 04:37:54 2014  multiplying 266528 relations
Sun Dec 21 04:38:01 2014  multiply complete, coefficients have about 6.73 million bits
Sun Dec 21 04:38:01 2014  initial square root is modulo 54720511
Sun Dec 21 04:38:10 2014  GCD is 1, no factor found
Sun Dec 21 04:38:10 2014  reading relations for dependency 2
Sun Dec 21 04:38:10 2014  read 86846 cycles
Sun Dec 21 04:38:10 2014  cycles contain 266684 unique relations
Sun Dec 21 04:38:15 2014  read 266684 relations
Sun Dec 21 04:38:16 2014  multiplying 266684 relations
Sun Dec 21 04:38:23 2014  multiply complete, coefficients have about 6.73 million bits
Sun Dec 21 04:38:23 2014  initial square root is modulo 55304201
Sun Dec 21 04:38:32 2014  sqrtTime: 44
--
n: 58350004735901165802075086318940959067982080977967634404340281614359814209843859390644407175294466869985173009811762930228381
m: 10000000000000000000000000000
deg: 5
c5: 56
c0: -5
skew: 0.62
# Murphy_E = 4.007e-09
type: snfs
lss: 1
rlim: 1610000
alim: 1610000
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 15:32:11 UTC 2014 年 12 月 20 日 (土) 0 時 32 分 11 秒 (日本時間)

112×10140-13

c138

name 名前KTakahashi
date 日付December 19, 2014 15:34:40 UTC 2014 年 12 月 20 日 (土) 0 時 34 分 40 秒 (日本時間)
composite number 合成数
236032960316958546711344334155233820151313987060335925481022528503087395418431645276179637942298370951086383848601715453836589323723419949<138>
prime factors 素因数
14078252738551875079752566986253<32>
16765785122652763083934481604190036995945979213291500333613863322241626172141662270440541915278490872291233<107>
factorization results 素因数分解の結果
Input number is 236032960316958546711344334155233820151313987060335925481022528503087395418431645276179637942298370951086383848601715453836589323723419949 (138 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1490174033
Step 1 took 3697ms
Step 2 took 2215ms
********** Factor found in step 2: 14078252738551875079752566986253
Found probable prime factor of 32 digits: 14078252738551875079752566986253
Probable prime cofactor 16765785122652763083934481604190036995945979213291500333613863322241626172141662270440541915278490872291233 has 107 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)

112×10142-13

c106

name 名前Cyp
date 日付December 21, 2014 19:42:21 UTC 2014 年 12 月 22 日 (月) 4 時 42 分 21 秒 (日本時間)
composite number 合成数
8707701694585225338234528728300483301814327031163357363154218626151899248391003621132581823677646520525851<106>
prime factors 素因数
60409924330576274816595135942952498021<38>
144143562354668472289993722837495371074044122327979727573577859023231<69>
factorization results 素因数分解の結果
12/21/14 18:42:35 v1.34.3, 
12/21/14 18:42:35 v1.34.3, ****************************
12/21/14 18:42:35 v1.34.3, Starting factorization of 8707701694585225338234528728300483301814327031163357363154218626151899248391003621132581823677646520525851
12/21/14 18:42:35 v1.34.3, using pretesting plan: none
12/21/14 18:42:35 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/21/14 18:42:35 v1.34.3, ****************************
12/21/14 18:42:35 v1.34.3, nfs: commencing nfs on c106: 8707701694585225338234528728300483301814327031163357363154218626151899248391003621132581823677646520525851
12/21/14 18:42:35 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/21/14 18:42:35 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 18:42:49 v1.34.3, nfs: commencing lattice sieving with 8 threads
[258 lines snipped]
12/21/14 20:30:23 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 20:30:50 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 20:31:17 v1.34.3, nfs: commencing msieve filtering
12/21/14 20:32:48 v1.34.3, nfs: commencing msieve linear algebra
12/21/14 20:40:41 v1.34.3, nfs: commencing msieve sqrt
12/21/14 20:42:20 v1.34.3, prp38 = 60409924330576274816595135942952498021
12/21/14 20:42:20 v1.34.3, prp69 = 144143562354668472289993722837495371074044122327979727573577859023231
12/21/14 20:42:20 v1.34.3, NFS elapsed time = 7185.8329 seconds.
12/21/14 20:42:20 v1.34.3, 
12/21/14 20:42:20 v1.34.3, 
12/21/14 20:42:20 v1.34.3, Total factoring time = 7185.8337 seconds
--
Sun Dec 21 20:31:17 2014  
Sun Dec 21 20:31:17 2014  commencing relation filtering
Sun Dec 21 20:31:17 2014  estimated available RAM is 15987.3 MB
Sun Dec 21 20:31:17 2014  commencing duplicate removal, pass 1
Sun Dec 21 20:31:40 2014  found 822104 hash collisions in 4470565 relations
Sun Dec 21 20:31:47 2014  added 179266 free relations
Sun Dec 21 20:31:47 2014  commencing duplicate removal, pass 2
Sun Dec 21 20:31:54 2014  found 737683 duplicates and 3912148 unique relations
Sun Dec 21 20:31:54 2014  memory use: 20.6 MB
Sun Dec 21 20:31:54 2014  reading ideals above 100000
Sun Dec 21 20:31:54 2014  commencing singleton removal, initial pass
Sun Dec 21 20:32:24 2014  memory use: 94.1 MB
Sun Dec 21 20:32:24 2014  reading all ideals from disk
Sun Dec 21 20:32:24 2014  memory use: 124.0 MB
Sun Dec 21 20:32:25 2014  keeping 4557360 ideals with weight <= 200, target excess is 19992
Sun Dec 21 20:32:25 2014  commencing in-memory singleton removal
Sun Dec 21 20:32:25 2014  begin with 3912148 relations and 4557360 unique ideals
Sun Dec 21 20:32:27 2014  reduce to 1375234 relations and 1321587 ideals in 14 passes
Sun Dec 21 20:32:27 2014  max relations containing the same ideal: 97
Sun Dec 21 20:32:28 2014  removing 129529 relations and 114301 ideals in 15228 cliques
Sun Dec 21 20:32:28 2014  commencing in-memory singleton removal
Sun Dec 21 20:32:28 2014  begin with 1245705 relations and 1321587 unique ideals
Sun Dec 21 20:32:28 2014  reduce to 1236806 relations and 1198245 ideals in 7 passes
Sun Dec 21 20:32:28 2014  max relations containing the same ideal: 93
Sun Dec 21 20:32:29 2014  removing 94920 relations and 79692 ideals in 15228 cliques
Sun Dec 21 20:32:29 2014  commencing in-memory singleton removal
Sun Dec 21 20:32:29 2014  begin with 1141886 relations and 1198245 unique ideals
Sun Dec 21 20:32:29 2014  reduce to 1136692 relations and 1113302 ideals in 7 passes
Sun Dec 21 20:32:29 2014  max relations containing the same ideal: 87
Sun Dec 21 20:32:30 2014  relations with 0 large ideals: 453
Sun Dec 21 20:32:30 2014  relations with 1 large ideals: 145
Sun Dec 21 20:32:30 2014  relations with 2 large ideals: 2480
Sun Dec 21 20:32:30 2014  relations with 3 large ideals: 20462
Sun Dec 21 20:32:30 2014  relations with 4 large ideals: 91874
Sun Dec 21 20:32:30 2014  relations with 5 large ideals: 228537
Sun Dec 21 20:32:30 2014  relations with 6 large ideals: 348631
Sun Dec 21 20:32:30 2014  relations with 7+ large ideals: 444110
Sun Dec 21 20:32:30 2014  commencing 2-way merge
Sun Dec 21 20:32:31 2014  reduce to 696979 relation sets and 673588 unique ideals
Sun Dec 21 20:32:31 2014  commencing full merge
Sun Dec 21 20:32:42 2014  memory use: 85.8 MB
Sun Dec 21 20:32:42 2014  found 348264 cycles, need 345788
Sun Dec 21 20:32:42 2014  weight of 345788 cycles is about 24408488 (70.59/cycle)
Sun Dec 21 20:32:42 2014  distribution of cycle lengths:
Sun Dec 21 20:32:42 2014  1 relations: 27829
Sun Dec 21 20:32:42 2014  2 relations: 36147
Sun Dec 21 20:32:42 2014  3 relations: 38174
Sun Dec 21 20:32:42 2014  4 relations: 34909
Sun Dec 21 20:32:42 2014  5 relations: 32130
Sun Dec 21 20:32:42 2014  6 relations: 28317
Sun Dec 21 20:32:42 2014  7 relations: 24714
Sun Dec 21 20:32:42 2014  8 relations: 21225
Sun Dec 21 20:32:42 2014  9 relations: 18119
Sun Dec 21 20:32:42 2014  10+ relations: 84224
Sun Dec 21 20:32:42 2014  heaviest cycle: 26 relations
Sun Dec 21 20:32:42 2014  commencing cycle optimization
Sun Dec 21 20:32:43 2014  start with 2328364 relations
Sun Dec 21 20:32:47 2014  pruned 63734 relations
Sun Dec 21 20:32:47 2014  memory use: 70.9 MB
Sun Dec 21 20:32:47 2014  distribution of cycle lengths:
Sun Dec 21 20:32:47 2014  1 relations: 27829
Sun Dec 21 20:32:47 2014  2 relations: 36904
Sun Dec 21 20:32:47 2014  3 relations: 39506
Sun Dec 21 20:32:47 2014  4 relations: 35910
Sun Dec 21 20:32:47 2014  5 relations: 32912
Sun Dec 21 20:32:47 2014  6 relations: 28828
Sun Dec 21 20:32:47 2014  7 relations: 25079
Sun Dec 21 20:32:47 2014  8 relations: 21384
Sun Dec 21 20:32:47 2014  9 relations: 18096
Sun Dec 21 20:32:47 2014  10+ relations: 79340
Sun Dec 21 20:32:47 2014  heaviest cycle: 26 relations
Sun Dec 21 20:32:47 2014  RelProcTime: 90
Sun Dec 21 20:32:48 2014  
Sun Dec 21 20:32:48 2014  commencing linear algebra
Sun Dec 21 20:32:48 2014  read 345788 cycles
Sun Dec 21 20:32:48 2014  cycles contain 1117486 unique relations
Sun Dec 21 20:32:57 2014  read 1117486 relations
Sun Dec 21 20:32:58 2014  using 20 quadratic characters above 67106168
Sun Dec 21 20:33:03 2014  building initial matrix
Sun Dec 21 20:33:16 2014  memory use: 133.7 MB
Sun Dec 21 20:33:16 2014  read 345788 cycles
Sun Dec 21 20:33:16 2014  matrix is 345630 x 345788 (103.5 MB) with weight 30675971 (88.71/col)
Sun Dec 21 20:33:16 2014  sparse part has weight 23333998 (67.48/col)
Sun Dec 21 20:33:18 2014  filtering completed in 2 passes
Sun Dec 21 20:33:18 2014  matrix is 345528 x 345692 (103.5 MB) with weight 30672838 (88.73/col)
Sun Dec 21 20:33:18 2014  sparse part has weight 23332880 (67.50/col)
Sun Dec 21 20:33:19 2014  matrix starts at (0, 0)
Sun Dec 21 20:33:19 2014  matrix is 345528 x 345692 (103.5 MB) with weight 30672838 (88.73/col)
Sun Dec 21 20:33:19 2014  sparse part has weight 23332880 (67.50/col)
Sun Dec 21 20:33:19 2014  saving the first 48 matrix rows for later
Sun Dec 21 20:33:19 2014  matrix includes 64 packed rows
Sun Dec 21 20:33:19 2014  matrix is 345480 x 345692 (97.3 MB) with weight 24248493 (70.14/col)
Sun Dec 21 20:33:19 2014  sparse part has weight 22046179 (63.77/col)
Sun Dec 21 20:33:19 2014  using block size 65536 for processor cache size 8192 kB
Sun Dec 21 20:33:20 2014  commencing Lanczos iteration (8 threads)
Sun Dec 21 20:33:20 2014  memory use: 93.3 MB
Sun Dec 21 20:33:38 2014  linear algebra at 3.5%, ETA 0h 8m
Sun Dec 21 20:40:41 2014  lanczos halted after 5463 iterations (dim = 345467)
Sun Dec 21 20:40:41 2014  recovered 36 nontrivial dependencies
Sun Dec 21 20:40:41 2014  BLanczosTime: 473
Sun Dec 21 20:40:41 2014  
Sun Dec 21 20:40:41 2014  commencing square root phase
Sun Dec 21 20:40:41 2014  reading relations for dependency 1
Sun Dec 21 20:40:41 2014  read 172457 cycles
Sun Dec 21 20:40:42 2014  cycles contain 558284 unique relations
Sun Dec 21 20:40:48 2014  read 558284 relations
Sun Dec 21 20:40:50 2014  multiplying 558284 relations
Sun Dec 21 20:41:08 2014  multiply complete, coefficients have about 15.05 million bits
Sun Dec 21 20:41:08 2014  initial square root is modulo 445859951
Sun Dec 21 20:41:32 2014  Newton iteration failed to converge
Sun Dec 21 20:41:32 2014  algebraic square root failed
Sun Dec 21 20:41:32 2014  reading relations for dependency 2
Sun Dec 21 20:41:33 2014  read 173026 cycles
Sun Dec 21 20:41:33 2014  cycles contain 559298 unique relations
Sun Dec 21 20:41:39 2014  read 559298 relations
Sun Dec 21 20:41:41 2014  multiplying 559298 relations
Sun Dec 21 20:41:59 2014  multiply complete, coefficients have about 15.08 million bits
Sun Dec 21 20:41:59 2014  initial square root is modulo 462307771
Sun Dec 21 20:42:20 2014  sqrtTime: 99
--
n: 8707701694585225338234528728300483301814327031163357363154218626151899248391003621132581823677646520525851
m: 20000000000000000000000000000
deg: 5
c5: 350
c0: -1
skew: 0.31
# Murphy_E = 2.35e-09
type: snfs
lss: 1
rlim: 1760000
alim: 1760000
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 15:32:22 UTC 2014 年 12 月 20 日 (土) 0 時 32 分 22 秒 (日本時間)

112×10150-13

c98

name 名前KTakahashi
date 日付December 19, 2014 15:36:44 UTC 2014 年 12 月 20 日 (土) 0 時 36 分 44 秒 (日本時間)
composite number 合成数
21508837457555602181384469559205246494483734182831741615267661858262274488159591717863943009039819<98>
prime factors 素因数
1722876268650357316766039561111<31>
12484261260621399148624480269328121143799685949101908938663424091629<68>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM]
Input number is 21508837457555602181384469559205246494483734182831741615267661858262274488159591717863943009039819 (98 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2029093659
Step 1 took 2637ms
Step 2 took 1575ms
********** Factor found in step 2: 1722876268650357316766039561111
Found probable prime factor of 31 digits: 1722876268650357316766039561111
Probable prime cofactor 12484261260621399148624480269328121143799685949101908938663424091629 has 68 digits

ECM

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

112×10151-13

c135

name 名前Serge Batalov
date 日付December 21, 2014 01:59:37 UTC 2014 年 12 月 21 日 (日) 10 時 59 分 37 秒 (日本時間)
composite number 合成数
869917208088043897135794663939971443711430387728010220496051023502671882330492906383965381383110025946319531692905807765843986558150533<135>
prime factors 素因数
511687197249262179260815922383477<33>
1700095708402636339379413650473750163803560214958498520229710597723088612595588632282810322197275666129<103>
factorization results 素因数分解の結果
Input number is 869917208088043897135794663939971443711430387728010220496051023502671882330492906383965381383110025946319531692905807765843986558150533 (135 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3573857335
Step 1 took 9646ms
Step 2 took 7139ms
********** Factor found in step 2: 511687197249262179260815922383477
Found probable prime factor of 33 digits: 511687197249262179260815922383477
Probable prime cofactor 1700095708402636339379413650473750163803560214958498520229710597723088612595588632282810322197275666129 has 103 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:23:30 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 30 秒 (日本時間)

112×10153-13

c143

name 名前Serge Batalov
date 日付December 21, 2014 01:59:41 UTC 2014 年 12 月 21 日 (日) 10 時 59 分 41 秒 (日本時間)
composite number 合成数
23335798653393503160341156688997256359762205374697201557895327076820501875019363963812890878785657074774840429023344906309950631354193663411913<143>
prime factors 素因数
46540225042671934461569514550792763521499<41>
501411384066091417503633533135880630701198137942188672870548467394296406167511944739833278999245708587<102>
factorization results 素因数分解の結果
Input number is 23335798653393503160341156688997256359762205374697201557895327076820501875019363963812890878785657074774840429023344906309950631354193663411913 (143 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2674753774
Step 1 took 9804ms
Step 2 took 8629ms
********** Factor found in step 2: 46540225042671934461569514550792763521499
Found probable prime factor of 41 digits: 46540225042671934461569514550792763521499
Probable prime cofactor 501411384066091417503633533135880630701198137942188672870548467394296406167511944739833278999245708587 has 102 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:23:30 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 30 秒 (日本時間)

112×10155-13

c139

name 名前Cyp
date 日付December 25, 2014 06:53:53 UTC 2014 年 12 月 25 日 (木) 15 時 53 分 53 秒 (日本時間)
composite number 合成数
4090527134886204672346942143072298385842617234092678559961247303046714778402425449038281737868104379516984507090932640410687040067004397923<139>
prime factors 素因数
473599235000527687755252018384148112168683645262994643217859480661<66>
8637106719316484911320335858092835477254419221466464469911235583703459543<73>
factorization results 素因数分解の結果
12/25/14 04:13:46 v1.34.3, 
12/25/14 04:13:46 v1.34.3, ****************************
12/25/14 04:13:46 v1.34.3, Starting factorization of 4090527134886204672346942143072298385842617234092678559961247303046714778402425449038281737868104379516984507090932640410687040067004397923
12/25/14 04:13:46 v1.34.3, using pretesting plan: none
12/25/14 04:13:46 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/25/14 04:13:46 v1.34.3, ****************************
12/25/14 04:13:46 v1.34.3, nfs: commencing nfs on c139: 4090527134886204672346942143072298385842617234092678559961247303046714778402425449038281737868104379516984507090932640410687040067004397923
12/25/14 04:13:46 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/25/14 04:13:46 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/25/14 04:16:15 v1.34.3, nfs: commencing lattice sieving with 8 threads
[79 lines snipped]
12/25/14 07:35:05 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/25/14 07:36:40 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/25/14 07:38:12 v1.34.3, nfs: commencing msieve filtering
12/25/14 07:39:57 v1.34.3, nfs: commencing msieve linear algebra
12/25/14 07:50:18 v1.34.3, nfs: commencing msieve sqrt
12/25/14 07:53:52 v1.34.3, prp73 = 8637106719316484911320335858092835477254419221466464469911235583703459543
12/25/14 07:53:52 v1.34.3, prp66 = 473599235000527687755252018384148112168683645262994643217859480661
12/25/14 07:53:52 v1.34.3, NFS elapsed time = 13206.3032 seconds.
12/25/14 07:53:52 v1.34.3, 
12/25/14 07:53:52 v1.34.3, 
12/25/14 07:53:52 v1.34.3, Total factoring time = 13206.3043 seconds
--
Thu Dec 25 07:38:12 2014  
Thu Dec 25 07:38:12 2014  commencing relation filtering
Thu Dec 25 07:38:12 2014  estimated available RAM is 15987.3 MB
Thu Dec 25 07:38:12 2014  commencing duplicate removal, pass 1
Thu Dec 25 07:38:39 2014  found 1535457 hash collisions in 10082107 relations
Thu Dec 25 07:38:47 2014  added 355875 free relations
Thu Dec 25 07:38:47 2014  commencing duplicate removal, pass 2
Thu Dec 25 07:38:55 2014  found 1158218 duplicates and 9279764 unique relations
Thu Dec 25 07:38:55 2014  memory use: 41.3 MB
Thu Dec 25 07:38:55 2014  reading ideals above 100000
Thu Dec 25 07:38:55 2014  commencing singleton removal, initial pass
Thu Dec 25 07:39:37 2014  memory use: 188.2 MB
Thu Dec 25 07:39:37 2014  reading all ideals from disk
Thu Dec 25 07:39:37 2014  memory use: 312.9 MB
Thu Dec 25 07:39:37 2014  keeping 9596986 ideals with weight <= 200, target excess is 46460
Thu Dec 25 07:39:38 2014  commencing in-memory singleton removal
Thu Dec 25 07:39:38 2014  begin with 9279764 relations and 9596986 unique ideals
Thu Dec 25 07:39:41 2014  reduce to 4350680 relations and 3521043 ideals in 12 passes
Thu Dec 25 07:39:41 2014  max relations containing the same ideal: 128
Thu Dec 25 07:39:42 2014  removing 1286855 relations and 898983 ideals in 387872 cliques
Thu Dec 25 07:39:42 2014  commencing in-memory singleton removal
Thu Dec 25 07:39:42 2014  begin with 3063825 relations and 3521043 unique ideals
Thu Dec 25 07:39:43 2014  reduce to 2813074 relations and 2343941 ideals in 10 passes
Thu Dec 25 07:39:43 2014  max relations containing the same ideal: 96
Thu Dec 25 07:39:44 2014  removing 1082166 relations and 694294 ideals in 387872 cliques
Thu Dec 25 07:39:44 2014  commencing in-memory singleton removal
Thu Dec 25 07:39:44 2014  begin with 1730908 relations and 2343941 unique ideals
Thu Dec 25 07:39:45 2014  reduce to 1507836 relations and 1395653 ideals in 10 passes
Thu Dec 25 07:39:45 2014  max relations containing the same ideal: 59
Thu Dec 25 07:39:45 2014  removing 234748 relations and 176459 ideals in 58289 cliques
Thu Dec 25 07:39:45 2014  commencing in-memory singleton removal
Thu Dec 25 07:39:45 2014  begin with 1273088 relations and 1395653 unique ideals
Thu Dec 25 07:39:46 2014  reduce to 1243313 relations and 1188176 ideals in 7 passes
Thu Dec 25 07:39:46 2014  max relations containing the same ideal: 51
Thu Dec 25 07:39:46 2014  relations with 0 large ideals: 1033
Thu Dec 25 07:39:46 2014  relations with 1 large ideals: 674
Thu Dec 25 07:39:46 2014  relations with 2 large ideals: 10716
Thu Dec 25 07:39:46 2014  relations with 3 large ideals: 65092
Thu Dec 25 07:39:46 2014  relations with 4 large ideals: 199389
Thu Dec 25 07:39:46 2014  relations with 5 large ideals: 340280
Thu Dec 25 07:39:46 2014  relations with 6 large ideals: 350930
Thu Dec 25 07:39:46 2014  relations with 7+ large ideals: 275199
Thu Dec 25 07:39:46 2014  commencing 2-way merge
Thu Dec 25 07:39:46 2014  reduce to 779899 relation sets and 724762 unique ideals
Thu Dec 25 07:39:46 2014  commencing full merge
Thu Dec 25 07:39:54 2014  memory use: 93.6 MB
Thu Dec 25 07:39:54 2014  found 401083 cycles, need 392962
Thu Dec 25 07:39:54 2014  weight of 392962 cycles is about 27924331 (71.06/cycle)
Thu Dec 25 07:39:54 2014  distribution of cycle lengths:
Thu Dec 25 07:39:54 2014  1 relations: 27560
Thu Dec 25 07:39:54 2014  2 relations: 37270
Thu Dec 25 07:39:54 2014  3 relations: 41093
Thu Dec 25 07:39:54 2014  4 relations: 41363
Thu Dec 25 07:39:54 2014  5 relations: 40796
Thu Dec 25 07:39:54 2014  6 relations: 38060
Thu Dec 25 07:39:54 2014  7 relations: 33752
Thu Dec 25 07:39:54 2014  8 relations: 29306
Thu Dec 25 07:39:54 2014  9 relations: 24688
Thu Dec 25 07:39:54 2014  10+ relations: 79074
Thu Dec 25 07:39:54 2014  heaviest cycle: 21 relations
Thu Dec 25 07:39:54 2014  commencing cycle optimization
Thu Dec 25 07:39:54 2014  start with 2485236 relations
Thu Dec 25 07:39:57 2014  pruned 77938 relations
Thu Dec 25 07:39:57 2014  memory use: 76.5 MB
Thu Dec 25 07:39:57 2014  distribution of cycle lengths:
Thu Dec 25 07:39:57 2014  1 relations: 27560
Thu Dec 25 07:39:57 2014  2 relations: 38078
Thu Dec 25 07:39:57 2014  3 relations: 42659
Thu Dec 25 07:39:57 2014  4 relations: 42825
Thu Dec 25 07:39:57 2014  5 relations: 42397
Thu Dec 25 07:39:57 2014  6 relations: 39139
Thu Dec 25 07:39:57 2014  7 relations: 34797
Thu Dec 25 07:39:57 2014  8 relations: 29812
Thu Dec 25 07:39:57 2014  9 relations: 24873
Thu Dec 25 07:39:57 2014  10+ relations: 70822
Thu Dec 25 07:39:57 2014  heaviest cycle: 20 relations
Thu Dec 25 07:39:57 2014  RelProcTime: 105
Thu Dec 25 07:39:57 2014  
Thu Dec 25 07:39:57 2014  commencing linear algebra
Thu Dec 25 07:39:57 2014  read 392962 cycles
Thu Dec 25 07:39:58 2014  cycles contain 1203868 unique relations
Thu Dec 25 07:40:06 2014  read 1203868 relations
Thu Dec 25 07:40:07 2014  using 20 quadratic characters above 134214810
Thu Dec 25 07:40:11 2014  building initial matrix
Thu Dec 25 07:40:19 2014  memory use: 147.2 MB
Thu Dec 25 07:40:19 2014  read 392962 cycles
Thu Dec 25 07:40:19 2014  matrix is 392785 x 392962 (118.0 MB) with weight 35155944 (89.46/col)
Thu Dec 25 07:40:19 2014  sparse part has weight 26613381 (67.73/col)
Thu Dec 25 07:40:20 2014  filtering completed in 2 passes
Thu Dec 25 07:40:20 2014  matrix is 392674 x 392851 (118.0 MB) with weight 35151978 (89.48/col)
Thu Dec 25 07:40:20 2014  sparse part has weight 26611815 (67.74/col)
Thu Dec 25 07:40:21 2014  matrix starts at (0, 0)
Thu Dec 25 07:40:21 2014  matrix is 392674 x 392851 (118.0 MB) with weight 35151978 (89.48/col)
Thu Dec 25 07:40:21 2014  sparse part has weight 26611815 (67.74/col)
Thu Dec 25 07:40:21 2014  saving the first 48 matrix rows for later
Thu Dec 25 07:40:21 2014  matrix includes 64 packed rows
Thu Dec 25 07:40:21 2014  matrix is 392626 x 392851 (111.4 MB) with weight 27877493 (70.96/col)
Thu Dec 25 07:40:21 2014  sparse part has weight 25277697 (64.34/col)
Thu Dec 25 07:40:21 2014  using block size 65536 for processor cache size 8192 kB
Thu Dec 25 07:40:22 2014  commencing Lanczos iteration (8 threads)
Thu Dec 25 07:40:22 2014  memory use: 107.0 MB
Thu Dec 25 07:40:38 2014  linear algebra at 3.1%, ETA 0h 8m
Thu Dec 25 07:50:17 2014  lanczos halted after 6210 iterations (dim = 392623)
Thu Dec 25 07:50:18 2014  recovered 37 nontrivial dependencies
Thu Dec 25 07:50:18 2014  BLanczosTime: 621
Thu Dec 25 07:50:18 2014  
Thu Dec 25 07:50:18 2014  commencing square root phase
Thu Dec 25 07:50:18 2014  reading relations for dependency 1
Thu Dec 25 07:50:18 2014  read 195991 cycles
Thu Dec 25 07:50:18 2014  cycles contain 600416 unique relations
Thu Dec 25 07:50:30 2014  read 600416 relations
Thu Dec 25 07:50:32 2014  multiplying 600416 relations
Thu Dec 25 07:50:50 2014  multiply complete, coefficients have about 15.96 million bits
Thu Dec 25 07:50:50 2014  initial square root is modulo 1482961621
Thu Dec 25 07:51:12 2014  GCD is N, no factor found
Thu Dec 25 07:51:12 2014  reading relations for dependency 2
Thu Dec 25 07:51:12 2014  read 196671 cycles
Thu Dec 25 07:51:12 2014  cycles contain 602474 unique relations
Thu Dec 25 07:51:24 2014  read 602474 relations
Thu Dec 25 07:51:26 2014  multiplying 602474 relations
Thu Dec 25 07:51:43 2014  multiply complete, coefficients have about 16.02 million bits
Thu Dec 25 07:51:44 2014  initial square root is modulo 1595490821
Thu Dec 25 07:52:06 2014  GCD is N, no factor found
Thu Dec 25 07:52:06 2014  reading relations for dependency 3
Thu Dec 25 07:52:06 2014  read 196677 cycles
Thu Dec 25 07:52:06 2014  cycles contain 602408 unique relations
Thu Dec 25 07:52:17 2014  read 602408 relations
Thu Dec 25 07:52:19 2014  multiplying 602408 relations
Thu Dec 25 07:52:36 2014  multiply complete, coefficients have about 16.02 million bits
Thu Dec 25 07:52:37 2014  initial square root is modulo 1590326401
Thu Dec 25 07:52:59 2014  Newton iteration failed to converge
Thu Dec 25 07:52:59 2014  algebraic square root failed
Thu Dec 25 07:52:59 2014  reading relations for dependency 4
Thu Dec 25 07:52:59 2014  read 196859 cycles
Thu Dec 25 07:52:59 2014  cycles contain 602468 unique relations
Thu Dec 25 07:53:11 2014  read 602468 relations
Thu Dec 25 07:53:13 2014  multiplying 602468 relations
Thu Dec 25 07:53:30 2014  multiply complete, coefficients have about 16.02 million bits
Thu Dec 25 07:53:30 2014  initial square root is modulo 1597285601
Thu Dec 25 07:53:52 2014  sqrtTime: 214
--
n: 4090527134886204672346942143072298385842617234092678559961247303046714778402425449038281737868104379516984507090932640410687040067004397923
m: 10000000000000000000000000000000
deg: 5
c5: 112
c0: -1
skew: 0.39
# Murphy_E = 9.848e-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
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:23:31 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 31 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:47 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 47 秒 (日本時間)

112×10157-13

c150

name 名前Cyp
date 日付December 26, 2014 05:24:48 UTC 2014 年 12 月 26 日 (金) 14 時 24 分 48 秒 (日本時間)
composite number 合成数
374664268575830266799124803135628956636781393987231328658611795015851739116116818869794076492815899458431396980514491161380041270520294667412463993087<150>
prime factors 素因数
77039684849551556981024761132199168201887999<44>
4863263255911555864258927208474755344729098877874484712856258087923305437606288735988215470090363859750913<106>
factorization results 素因数分解の結果
12/26/14 03:26:04 v1.34.3, 
12/26/14 03:26:04 v1.34.3, ****************************
12/26/14 03:26:04 v1.34.3, Starting factorization of 374664268575830266799124803135628956636781393987231328658611795015851739116116818869794076492815899458431396980514491161380041270520294667412463993087
12/26/14 03:26:04 v1.34.3, using pretesting plan: none
12/26/14 03:26:04 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/26/14 03:26:04 v1.34.3, ****************************
12/26/14 03:26:04 v1.34.3, nfs: commencing nfs on c150: 374664268575830266799124803135628956636781393987231328658611795015851739116116818869794076492815899458431396980514491161380041270520294667412463993087
12/26/14 03:26:04 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/26/14 03:26:04 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/26/14 03:30:22 v1.34.3, nfs: commencing lattice sieving with 8 threads
[36 lines snipped]
12/26/14 06:08:54 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/26/14 06:13:18 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/26/14 06:17:39 v1.34.3, nfs: commencing msieve filtering
12/26/14 06:19:23 v1.34.3, nfs: commencing msieve linear algebra
12/26/14 06:24:12 v1.34.3, nfs: commencing msieve sqrt
12/26/14 06:24:47 v1.34.3, prp106 = 4863263255911555864258927208474755344729098877874484712856258087923305437606288735988215470090363859750913
12/26/14 06:24:47 v1.34.3, prp44 = 77039684849551556981024761132199168201887999
12/26/14 06:24:47 v1.34.3, NFS elapsed time = 10722.7113 seconds.
12/26/14 06:24:47 v1.34.3, 
12/26/14 06:24:47 v1.34.3, 
12/26/14 06:24:47 v1.34.3, Total factoring time = 10722.7123 seconds
--
Fri Dec 26 06:17:39 2014  
Fri Dec 26 06:17:39 2014  commencing relation filtering
Fri Dec 26 06:17:39 2014  estimated available RAM is 15987.3 MB
Fri Dec 26 06:17:39 2014  commencing duplicate removal, pass 1
Fri Dec 26 06:18:06 2014  found 1337896 hash collisions in 10084230 relations
Fri Dec 26 06:18:14 2014  added 359615 free relations
Fri Dec 26 06:18:14 2014  commencing duplicate removal, pass 2
Fri Dec 26 06:18:22 2014  found 884566 duplicates and 9559279 unique relations
Fri Dec 26 06:18:22 2014  memory use: 41.3 MB
Fri Dec 26 06:18:22 2014  reading ideals above 100000
Fri Dec 26 06:18:22 2014  commencing singleton removal, initial pass
Fri Dec 26 06:19:02 2014  memory use: 188.2 MB
Fri Dec 26 06:19:02 2014  reading all ideals from disk
Fri Dec 26 06:19:02 2014  memory use: 334.2 MB
Fri Dec 26 06:19:03 2014  keeping 9774546 ideals with weight <= 200, target excess is 51437
Fri Dec 26 06:19:03 2014  commencing in-memory singleton removal
Fri Dec 26 06:19:03 2014  begin with 9559279 relations and 9774546 unique ideals
Fri Dec 26 06:19:07 2014  reduce to 4638043 relations and 3745834 ideals in 15 passes
Fri Dec 26 06:19:07 2014  max relations containing the same ideal: 125
Fri Dec 26 06:19:08 2014  removing 1312987 relations and 912987 ideals in 400000 cliques
Fri Dec 26 06:19:08 2014  commencing in-memory singleton removal
Fri Dec 26 06:19:08 2014  begin with 3325056 relations and 3745834 unique ideals
Fri Dec 26 06:19:09 2014  reduce to 3080472 relations and 2562711 ideals in 8 passes
Fri Dec 26 06:19:09 2014  max relations containing the same ideal: 96
Fri Dec 26 06:19:10 2014  removing 1112601 relations and 712601 ideals in 400000 cliques
Fri Dec 26 06:19:10 2014  commencing in-memory singleton removal
Fri Dec 26 06:19:10 2014  begin with 1967871 relations and 2562711 unique ideals
Fri Dec 26 06:19:11 2014  reduce to 1742518 relations and 1596019 ideals in 11 passes
Fri Dec 26 06:19:11 2014  max relations containing the same ideal: 63
Fri Dec 26 06:19:11 2014  removing 324434 relations and 237602 ideals in 86832 cliques
Fri Dec 26 06:19:11 2014  commencing in-memory singleton removal
Fri Dec 26 06:19:11 2014  begin with 1418084 relations and 1596019 unique ideals
Fri Dec 26 06:19:12 2014  reduce to 1368277 relations and 1306131 ideals in 9 passes
Fri Dec 26 06:19:12 2014  max relations containing the same ideal: 54
Fri Dec 26 06:19:12 2014  relations with 0 large ideals: 1180
Fri Dec 26 06:19:12 2014  relations with 1 large ideals: 615
Fri Dec 26 06:19:12 2014  relations with 2 large ideals: 8582
Fri Dec 26 06:19:12 2014  relations with 3 large ideals: 55258
Fri Dec 26 06:19:12 2014  relations with 4 large ideals: 187091
Fri Dec 26 06:19:12 2014  relations with 5 large ideals: 349513
Fri Dec 26 06:19:12 2014  relations with 6 large ideals: 397030
Fri Dec 26 06:19:12 2014  relations with 7+ large ideals: 369008
Fri Dec 26 06:19:12 2014  commencing 2-way merge
Fri Dec 26 06:19:13 2014  reduce to 846007 relation sets and 783861 unique ideals
Fri Dec 26 06:19:13 2014  commencing full merge
Fri Dec 26 06:19:20 2014  memory use: 102.2 MB
Fri Dec 26 06:19:20 2014  found 434213 cycles, need 424061
Fri Dec 26 06:19:20 2014  weight of 424061 cycles is about 29947972 (70.62/cycle)
Fri Dec 26 06:19:20 2014  distribution of cycle lengths:
Fri Dec 26 06:19:20 2014  1 relations: 38035
Fri Dec 26 06:19:20 2014  2 relations: 40688
Fri Dec 26 06:19:20 2014  3 relations: 44283
Fri Dec 26 06:19:20 2014  4 relations: 44618
Fri Dec 26 06:19:20 2014  5 relations: 43469
Fri Dec 26 06:19:20 2014  6 relations: 40911
Fri Dec 26 06:19:20 2014  7 relations: 36405
Fri Dec 26 06:19:20 2014  8 relations: 31187
Fri Dec 26 06:19:20 2014  9 relations: 25801
Fri Dec 26 06:19:20 2014  10+ relations: 78664
Fri Dec 26 06:19:20 2014  heaviest cycle: 19 relations
Fri Dec 26 06:19:20 2014  commencing cycle optimization
Fri Dec 26 06:19:21 2014  start with 2580549 relations
Fri Dec 26 06:19:23 2014  pruned 78651 relations
Fri Dec 26 06:19:23 2014  memory use: 81.7 MB
Fri Dec 26 06:19:23 2014  distribution of cycle lengths:
Fri Dec 26 06:19:23 2014  1 relations: 38035
Fri Dec 26 06:19:23 2014  2 relations: 41552
Fri Dec 26 06:19:23 2014  3 relations: 45916
Fri Dec 26 06:19:23 2014  4 relations: 45989
Fri Dec 26 06:19:23 2014  5 relations: 45465
Fri Dec 26 06:19:23 2014  6 relations: 42167
Fri Dec 26 06:19:23 2014  7 relations: 37305
Fri Dec 26 06:19:23 2014  8 relations: 31599
Fri Dec 26 06:19:23 2014  9 relations: 25812
Fri Dec 26 06:19:23 2014  10+ relations: 70221
Fri Dec 26 06:19:23 2014  heaviest cycle: 19 relations
Fri Dec 26 06:19:23 2014  RelProcTime: 104
Fri Dec 26 06:19:23 2014  
Fri Dec 26 06:19:23 2014  commencing linear algebra
Fri Dec 26 06:19:23 2014  read 424061 cycles
Fri Dec 26 06:19:24 2014  cycles contain 1317862 unique relations
Fri Dec 26 06:19:33 2014  read 1317862 relations
Fri Dec 26 06:19:33 2014  using 20 quadratic characters above 134215448
Fri Dec 26 06:19:38 2014  building initial matrix
Fri Dec 26 06:19:44 2014  memory use: 162.7 MB
Fri Dec 26 06:19:44 2014  read 424061 cycles
Fri Dec 26 06:19:44 2014  matrix is 423884 x 424061 (126.8 MB) with weight 37452957 (88.32/col)
Fri Dec 26 06:19:44 2014  sparse part has weight 28568932 (67.37/col)
Fri Dec 26 06:19:46 2014  filtering completed in 2 passes
Fri Dec 26 06:19:46 2014  matrix is 423720 x 423897 (126.8 MB) with weight 37446624 (88.34/col)
Fri Dec 26 06:19:46 2014  sparse part has weight 28566012 (67.39/col)
Fri Dec 26 06:19:47 2014  matrix starts at (0, 0)
Fri Dec 26 06:19:47 2014  matrix is 423720 x 423897 (126.8 MB) with weight 37446624 (88.34/col)
Fri Dec 26 06:19:47 2014  sparse part has weight 28566012 (67.39/col)
Fri Dec 26 06:19:47 2014  saving the first 48 matrix rows for later
Fri Dec 26 06:19:47 2014  matrix includes 64 packed rows
Fri Dec 26 06:19:47 2014  matrix is 423672 x 423897 (119.5 MB) with weight 29631775 (69.90/col)
Fri Dec 26 06:19:47 2014  sparse part has weight 27078912 (63.88/col)
Fri Dec 26 06:19:47 2014  using block size 65536 for processor cache size 8192 kB
Fri Dec 26 06:19:48 2014  commencing Lanczos iteration (8 threads)
Fri Dec 26 06:19:48 2014  memory use: 115.7 MB
Fri Dec 26 06:19:55 2014  linear algebra at 2.9%, ETA 0h 3m
Fri Dec 26 06:24:11 2014  lanczos halted after 6703 iterations (dim = 423670)
Fri Dec 26 06:24:11 2014  recovered 37 nontrivial dependencies
Fri Dec 26 06:24:12 2014  BLanczosTime: 289
Fri Dec 26 06:24:12 2014  
Fri Dec 26 06:24:12 2014  commencing square root phase
Fri Dec 26 06:24:12 2014  reading relations for dependency 1
Fri Dec 26 06:24:12 2014  read 212528 cycles
Fri Dec 26 06:24:12 2014  cycles contain 660274 unique relations
Fri Dec 26 06:24:19 2014  read 660274 relations
Fri Dec 26 06:24:21 2014  multiplying 660274 relations
Fri Dec 26 06:24:32 2014  multiply complete, coefficients have about 19.11 million bits
Fri Dec 26 06:24:32 2014  initial square root is modulo 307631
Fri Dec 26 06:24:47 2014  sqrtTime: 35
--
n: 374664268575830266799124803135628956636781393987231328658611795015851739116116818869794076492815899458431396980514491161380041270520294667412463993087
m: 20000000000000000000000000000000
deg: 5
c5: 350
c0: -1
skew: 0.31
# Murphy_E = 6.318e-10
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
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 21:23:31 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 31 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:47 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 47 秒 (日本時間)

112×10158-13

c133

name 名前Cyp
date 日付December 26, 2014 16:45:44 UTC 2014 年 12 月 27 日 (土) 1 時 45 分 44 秒 (日本時間)
composite number 合成数
5063728491783752855652034530101292274316579649792992370376874205892345043542311950159450831314365263000419605247931801149773536152271<133>
prime factors 素因数
963578927958780710125990339370992381463200253<45>
5255125807400766872759670603901254337006388221758689118951076063988968167664575597208507<88>
factorization results 素因数分解の結果
12/26/14 14:51:45 v1.34.3, 
12/26/14 14:51:45 v1.34.3, ****************************
12/26/14 14:51:45 v1.34.3, Starting factorization of 5063728491783752855652034530101292274316579649792992370376874205892345043542311950159450831314365263000419605247931801149773536152271
12/26/14 14:51:45 v1.34.3, using pretesting plan: none
12/26/14 14:51:45 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/26/14 14:51:45 v1.34.3, ****************************
12/26/14 14:51:45 v1.34.3, nfs: commencing nfs on c133: 5063728491783752855652034530101292274316579649792992370376874205892345043542311950159450831314365263000419605247931801149773536152271
12/26/14 14:51:45 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/26/14 14:51:45 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/26/14 14:52:45 v1.34.3, nfs: commencing lattice sieving with 8 threads
[150 lines snipped]
12/26/14 17:29:17 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/26/14 17:30:21 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/26/14 17:31:22 v1.34.3, nfs: commencing msieve filtering
12/26/14 17:33:10 v1.34.3, nfs: commencing msieve linear algebra
12/26/14 17:42:04 v1.34.3, nfs: commencing msieve sqrt
12/26/14 17:45:44 v1.34.3, prp88 = 5255125807400766872759670603901254337006388221758689118951076063988968167664575597208507
12/26/14 17:45:44 v1.34.3, prp45 = 963578927958780710125990339370992381463200253
12/26/14 17:45:44 v1.34.3, NFS elapsed time = 10438.7143 seconds.
12/26/14 17:45:44 v1.34.3, 
12/26/14 17:45:44 v1.34.3, 
12/26/14 17:45:44 v1.34.3, Total factoring time = 10438.7150 seconds
--
Fri Dec 26 17:31:22 2014  
Fri Dec 26 17:31:22 2014  commencing relation filtering
Fri Dec 26 17:31:22 2014  estimated available RAM is 15987.3 MB
Fri Dec 26 17:31:22 2014  commencing duplicate removal, pass 1
Fri Dec 26 17:31:49 2014  found 1579275 hash collisions in 10073168 relations
Fri Dec 26 17:31:58 2014  added 363462 free relations
Fri Dec 26 17:31:58 2014  commencing duplicate removal, pass 2
Fri Dec 26 17:32:06 2014  found 1225444 duplicates and 9211186 unique relations
Fri Dec 26 17:32:06 2014  memory use: 41.3 MB
Fri Dec 26 17:32:06 2014  reading ideals above 100000
Fri Dec 26 17:32:06 2014  commencing singleton removal, initial pass
Fri Dec 26 17:32:45 2014  memory use: 188.2 MB
Fri Dec 26 17:32:45 2014  reading all ideals from disk
Fri Dec 26 17:32:45 2014  memory use: 316.6 MB
Fri Dec 26 17:32:45 2014  keeping 10094366 ideals with weight <= 200, target excess is 45722
Fri Dec 26 17:32:46 2014  commencing in-memory singleton removal
Fri Dec 26 17:32:46 2014  begin with 9211186 relations and 10094366 unique ideals
Fri Dec 26 17:32:49 2014  reduce to 3765998 relations and 3403774 ideals in 17 passes
Fri Dec 26 17:32:49 2014  max relations containing the same ideal: 114
Fri Dec 26 17:32:50 2014  removing 827956 relations and 673363 ideals in 154593 cliques
Fri Dec 26 17:32:50 2014  commencing in-memory singleton removal
Fri Dec 26 17:32:51 2014  begin with 2938042 relations and 3403774 unique ideals
Fri Dec 26 17:32:52 2014  reduce to 2787452 relations and 2571853 ideals in 9 passes
Fri Dec 26 17:32:52 2014  max relations containing the same ideal: 93
Fri Dec 26 17:32:52 2014  removing 650971 relations and 496378 ideals in 154593 cliques
Fri Dec 26 17:32:52 2014  commencing in-memory singleton removal
Fri Dec 26 17:32:52 2014  begin with 2136481 relations and 2571853 unique ideals
Fri Dec 26 17:32:53 2014  reduce to 2016144 relations and 1948443 ideals in 9 passes
Fri Dec 26 17:32:53 2014  max relations containing the same ideal: 72
Fri Dec 26 17:32:54 2014  removing 101315 relations and 86652 ideals in 14663 cliques
Fri Dec 26 17:32:54 2014  commencing in-memory singleton removal
Fri Dec 26 17:32:54 2014  begin with 1914829 relations and 1948443 unique ideals
Fri Dec 26 17:32:54 2014  reduce to 1911694 relations and 1858628 ideals in 6 passes
Fri Dec 26 17:32:54 2014  max relations containing the same ideal: 69
Fri Dec 26 17:32:54 2014  relations with 0 large ideals: 1035
Fri Dec 26 17:32:54 2014  relations with 1 large ideals: 468
Fri Dec 26 17:32:54 2014  relations with 2 large ideals: 7749
Fri Dec 26 17:32:54 2014  relations with 3 large ideals: 56328
Fri Dec 26 17:32:54 2014  relations with 4 large ideals: 211692
Fri Dec 26 17:32:54 2014  relations with 5 large ideals: 450866
Fri Dec 26 17:32:54 2014  relations with 6 large ideals: 576098
Fri Dec 26 17:32:54 2014  relations with 7+ large ideals: 607458
Fri Dec 26 17:32:54 2014  commencing 2-way merge
Fri Dec 26 17:32:55 2014  reduce to 1141910 relation sets and 1088843 unique ideals
Fri Dec 26 17:32:55 2014  commencing full merge
Fri Dec 26 17:33:06 2014  memory use: 139.3 MB
Fri Dec 26 17:33:06 2014  found 583872 cycles, need 577043
Fri Dec 26 17:33:06 2014  weight of 577043 cycles is about 40729850 (70.58/cycle)
Fri Dec 26 17:33:06 2014  distribution of cycle lengths:
Fri Dec 26 17:33:06 2014  1 relations: 61507
Fri Dec 26 17:33:06 2014  2 relations: 61313
Fri Dec 26 17:33:06 2014  3 relations: 60620
Fri Dec 26 17:33:06 2014  4 relations: 57002
Fri Dec 26 17:33:06 2014  5 relations: 52016
Fri Dec 26 17:33:06 2014  6 relations: 48451
Fri Dec 26 17:33:06 2014  7 relations: 43212
Fri Dec 26 17:33:06 2014  8 relations: 37710
Fri Dec 26 17:33:06 2014  9 relations: 32376
Fri Dec 26 17:33:06 2014  10+ relations: 122836
Fri Dec 26 17:33:06 2014  heaviest cycle: 22 relations
Fri Dec 26 17:33:06 2014  commencing cycle optimization
Fri Dec 26 17:33:07 2014  start with 3598462 relations
Fri Dec 26 17:33:10 2014  pruned 93065 relations
Fri Dec 26 17:33:10 2014  memory use: 114.9 MB
Fri Dec 26 17:33:10 2014  distribution of cycle lengths:
Fri Dec 26 17:33:10 2014  1 relations: 61507
Fri Dec 26 17:33:10 2014  2 relations: 62511
Fri Dec 26 17:33:10 2014  3 relations: 62511
Fri Dec 26 17:33:10 2014  4 relations: 58468
Fri Dec 26 17:33:10 2014  5 relations: 53621
Fri Dec 26 17:33:10 2014  6 relations: 49428
Fri Dec 26 17:33:10 2014  7 relations: 44033
Fri Dec 26 17:33:10 2014  8 relations: 38167
Fri Dec 26 17:33:10 2014  9 relations: 32606
Fri Dec 26 17:33:10 2014  10+ relations: 114191
Fri Dec 26 17:33:10 2014  heaviest cycle: 22 relations
Fri Dec 26 17:33:10 2014  RelProcTime: 108
Fri Dec 26 17:33:10 2014  
Fri Dec 26 17:33:10 2014  commencing linear algebra
Fri Dec 26 17:33:10 2014  read 577043 cycles
Fri Dec 26 17:33:11 2014  cycles contain 1874127 unique relations
Fri Dec 26 17:33:21 2014  read 1874127 relations
Fri Dec 26 17:33:22 2014  using 20 quadratic characters above 134217090
Fri Dec 26 17:33:28 2014  building initial matrix
Fri Dec 26 17:33:37 2014  memory use: 222.4 MB
Fri Dec 26 17:33:37 2014  read 577043 cycles
Fri Dec 26 17:33:38 2014  matrix is 576866 x 577043 (173.0 MB) with weight 51022902 (88.42/col)
Fri Dec 26 17:33:38 2014  sparse part has weight 39014938 (67.61/col)
Fri Dec 26 17:33:40 2014  filtering completed in 2 passes
Fri Dec 26 17:33:40 2014  matrix is 576686 x 576863 (173.0 MB) with weight 51017674 (88.44/col)
Fri Dec 26 17:33:40 2014  sparse part has weight 39013493 (67.63/col)
Fri Dec 26 17:33:41 2014  matrix starts at (0, 0)
Fri Dec 26 17:33:41 2014  matrix is 576686 x 576863 (173.0 MB) with weight 51017674 (88.44/col)
Fri Dec 26 17:33:41 2014  sparse part has weight 39013493 (67.63/col)
Fri Dec 26 17:33:41 2014  saving the first 48 matrix rows for later
Fri Dec 26 17:33:41 2014  matrix includes 64 packed rows
Fri Dec 26 17:33:41 2014  matrix is 576638 x 576863 (162.9 MB) with weight 40443286 (70.11/col)
Fri Dec 26 17:33:41 2014  sparse part has weight 36928457 (64.02/col)
Fri Dec 26 17:33:41 2014  using block size 65536 for processor cache size 8192 kB
Fri Dec 26 17:33:42 2014  commencing Lanczos iteration (8 threads)
Fri Dec 26 17:33:42 2014  memory use: 157.6 MB
Fri Dec 26 17:33:45 2014  linear algebra at 0.5%, ETA 0h 9m
Fri Dec 26 17:42:04 2014  lanczos halted after 9121 iterations (dim = 576637)
Fri Dec 26 17:42:04 2014  recovered 38 nontrivial dependencies
Fri Dec 26 17:42:04 2014  BLanczosTime: 534
Fri Dec 26 17:42:04 2014  
Fri Dec 26 17:42:04 2014  commencing square root phase
Fri Dec 26 17:42:04 2014  reading relations for dependency 1
Fri Dec 26 17:42:04 2014  read 289061 cycles
Fri Dec 26 17:42:04 2014  cycles contain 938062 unique relations
Fri Dec 26 17:42:13 2014  read 938062 relations
Fri Dec 26 17:42:14 2014  multiplying 938062 relations
Fri Dec 26 17:42:34 2014  multiply complete, coefficients have about 29.32 million bits
Fri Dec 26 17:42:34 2014  initial square root is modulo 262634881
Fri Dec 26 17:42:59 2014  GCD is 1, no factor found
Fri Dec 26 17:42:59 2014  reading relations for dependency 2
Fri Dec 26 17:42:59 2014  read 288371 cycles
Fri Dec 26 17:42:59 2014  cycles contain 936174 unique relations
Fri Dec 26 17:43:08 2014  read 936174 relations
Fri Dec 26 17:43:09 2014  multiplying 936174 relations
Fri Dec 26 17:43:29 2014  multiply complete, coefficients have about 29.26 million bits
Fri Dec 26 17:43:29 2014  initial square root is modulo 252680621
Fri Dec 26 17:43:54 2014  GCD is 1, no factor found
Fri Dec 26 17:43:54 2014  reading relations for dependency 3
Fri Dec 26 17:43:54 2014  read 288472 cycles
Fri Dec 26 17:43:54 2014  cycles contain 936656 unique relations
Fri Dec 26 17:44:02 2014  read 936656 relations
Fri Dec 26 17:44:04 2014  multiplying 936656 relations
Fri Dec 26 17:44:24 2014  multiply complete, coefficients have about 29.27 million bits
Fri Dec 26 17:44:24 2014  initial square root is modulo 255200921
Fri Dec 26 17:44:49 2014  Newton iteration failed to converge
Fri Dec 26 17:44:49 2014  algebraic square root failed
Fri Dec 26 17:44:49 2014  reading relations for dependency 4
Fri Dec 26 17:44:49 2014  read 288261 cycles
Fri Dec 26 17:44:49 2014  cycles contain 936280 unique relations
Fri Dec 26 17:44:57 2014  read 936280 relations
Fri Dec 26 17:44:59 2014  multiplying 936280 relations
Fri Dec 26 17:45:18 2014  multiply complete, coefficients have about 29.26 million bits
Fri Dec 26 17:45:18 2014  initial square root is modulo 253152271
Fri Dec 26 17:45:43 2014  sqrtTime: 219
--
n: 5063728491783752855652034530101292274316579649792992370376874205892345043542311950159450831314365263000419605247931801149773536152271
m: 20000000000000000000000000000000
deg: 5
c5: 3500
c0: -1
skew: 0.20
# Murphy_E = 5.77e-10
type: snfs
lss: 1
rlim: 3300000
alim: 3300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:23:32 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 32 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:47 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 47 秒 (日本時間)

112×10159-13

c97

name 名前Serge Batalov
date 日付December 19, 2014 17:53:53 UTC 2014 年 12 月 20 日 (土) 2 時 53 分 53 秒 (日本時間)
composite number 合成数
3108640180856915255342974841563413740732522981815561070994708158421881192374061682246599726125523<97>
prime factors 素因数
983697655646585152927970471058347<33>
3160158167515001246316595961699054518946431045434272247854873209<64>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=143783143
Step 1 took 2317ms
Step 2 took 1707ms
********** Factor found in step 2: 983697655646585152927970471058347
Found probable prime factor of 33 digits: 983697655646585152927970471058347
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)

112×10160-13

c133

name 名前Cyp
date 日付December 27, 2014 18:17:59 UTC 2014 年 12 月 28 日 (日) 3 時 17 分 59 秒 (日本時間)
composite number 合成数
1186175790921552181494620006806220285791351488395998037167994922830506737973517774414541226314755624107576688845799900320568297137907<133>
prime factors 素因数
7196931942430736906107967040416845079734949999<46>
164816869245108594798155531240077213348915105761364716262742490246869152808006453212093<87>
factorization results 素因数分解の結果
12/27/14 16:24:03 v1.34.3, 
12/27/14 16:24:03 v1.34.3, ****************************
12/27/14 16:24:03 v1.34.3, Starting factorization of 1186175790921552181494620006806220285791351488395998037167994922830506737973517774414541226314755624107576688845799900320568297137907
12/27/14 16:24:03 v1.34.3, using pretesting plan: none
12/27/14 16:24:03 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/27/14 16:24:03 v1.34.3, ****************************
12/27/14 16:24:03 v1.34.3, nfs: commencing nfs on c133: 1186175790921552181494620006806220285791351488395998037167994922830506737973517774414541226314755624107576688845799900320568297137907
12/27/14 16:24:03 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/27/14 16:24:03 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/27/14 16:25:02 v1.34.3, nfs: commencing lattice sieving with 8 threads
[137 lines snipped]
12/27/14 19:00:42 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/27/14 19:01:57 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/27/14 19:03:14 v1.34.3, nfs: commencing msieve filtering
12/27/14 19:05:36 v1.34.3, nfs: commencing msieve linear algebra
12/27/14 19:17:10 v1.34.3, nfs: commencing msieve sqrt
12/27/14 19:17:58 v1.34.3, prp46 = 7196931942430736906107967040416845079734949999
12/27/14 19:17:58 v1.34.3, prp87 = 164816869245108594798155531240077213348915105761364716262742490246869152808006453212093
12/27/14 19:17:58 v1.34.3, NFS elapsed time = 10435.3250 seconds.
12/27/14 19:17:58 v1.34.3, 
12/27/14 19:17:58 v1.34.3, 
12/27/14 19:17:58 v1.34.3, Total factoring time = 10435.3257 seconds
--
Sat Dec 27 19:03:14 2014  
Sat Dec 27 19:03:14 2014  commencing relation filtering
Sat Dec 27 19:03:14 2014  estimated available RAM is 15987.3 MB
Sat Dec 27 19:03:14 2014  commencing duplicate removal, pass 1
Sat Dec 27 19:03:44 2014  found 1511261 hash collisions in 10055656 relations
Sat Dec 27 19:03:53 2014  added 362947 free relations
Sat Dec 27 19:03:53 2014  commencing duplicate removal, pass 2
Sat Dec 27 19:04:02 2014  found 1131770 duplicates and 9286833 unique relations
Sat Dec 27 19:04:02 2014  memory use: 41.3 MB
Sat Dec 27 19:04:02 2014  reading ideals above 100000
Sat Dec 27 19:04:02 2014  commencing singleton removal, initial pass
Sat Dec 27 19:04:52 2014  memory use: 188.2 MB
Sat Dec 27 19:04:52 2014  reading all ideals from disk
Sat Dec 27 19:04:52 2014  memory use: 319.0 MB
Sat Dec 27 19:04:53 2014  keeping 10122230 ideals with weight <= 200, target excess is 45694
Sat Dec 27 19:04:54 2014  commencing in-memory singleton removal
Sat Dec 27 19:04:55 2014  begin with 9286833 relations and 10122230 unique ideals
Sat Dec 27 19:05:02 2014  reduce to 3862413 relations and 3464206 ideals in 15 passes
Sat Dec 27 19:05:02 2014  max relations containing the same ideal: 113
Sat Dec 27 19:05:04 2014  removing 881040 relations and 708439 ideals in 172601 cliques
Sat Dec 27 19:05:05 2014  commencing in-memory singleton removal
Sat Dec 27 19:05:05 2014  begin with 2981373 relations and 3464206 unique ideals
Sat Dec 27 19:05:06 2014  reduce to 2814765 relations and 2579563 ideals in 9 passes
Sat Dec 27 19:05:06 2014  max relations containing the same ideal: 90
Sat Dec 27 19:05:08 2014  removing 696631 relations and 524030 ideals in 172601 cliques
Sat Dec 27 19:05:08 2014  commencing in-memory singleton removal
Sat Dec 27 19:05:08 2014  begin with 2118134 relations and 2579563 unique ideals
Sat Dec 27 19:05:09 2014  reduce to 1984182 relations and 1912957 ideals in 10 passes
Sat Dec 27 19:05:09 2014  max relations containing the same ideal: 71
Sat Dec 27 19:05:10 2014  removing 120357 relations and 102138 ideals in 18219 cliques
Sat Dec 27 19:05:10 2014  commencing in-memory singleton removal
Sat Dec 27 19:05:10 2014  begin with 1863825 relations and 1912957 unique ideals
Sat Dec 27 19:05:11 2014  reduce to 1859405 relations and 1806368 ideals in 7 passes
Sat Dec 27 19:05:11 2014  max relations containing the same ideal: 68
Sat Dec 27 19:05:11 2014  relations with 0 large ideals: 1008
Sat Dec 27 19:05:11 2014  relations with 1 large ideals: 478
Sat Dec 27 19:05:11 2014  relations with 2 large ideals: 7756
Sat Dec 27 19:05:11 2014  relations with 3 large ideals: 56163
Sat Dec 27 19:05:11 2014  relations with 4 large ideals: 209654
Sat Dec 27 19:05:11 2014  relations with 5 large ideals: 442475
Sat Dec 27 19:05:11 2014  relations with 6 large ideals: 559978
Sat Dec 27 19:05:11 2014  relations with 7+ large ideals: 581893
Sat Dec 27 19:05:11 2014  commencing 2-way merge
Sat Dec 27 19:05:12 2014  reduce to 1112462 relation sets and 1059425 unique ideals
Sat Dec 27 19:05:12 2014  commencing full merge
Sat Dec 27 19:05:28 2014  memory use: 135.8 MB
Sat Dec 27 19:05:28 2014  found 568433 cycles, need 561625
Sat Dec 27 19:05:29 2014  weight of 561625 cycles is about 39357921 (70.08/cycle)
Sat Dec 27 19:05:29 2014  distribution of cycle lengths:
Sat Dec 27 19:05:29 2014  1 relations: 59836
Sat Dec 27 19:05:29 2014  2 relations: 59188
Sat Dec 27 19:05:29 2014  3 relations: 58398
Sat Dec 27 19:05:29 2014  4 relations: 54949
Sat Dec 27 19:05:29 2014  5 relations: 51188
Sat Dec 27 19:05:29 2014  6 relations: 47267
Sat Dec 27 19:05:29 2014  7 relations: 42350
Sat Dec 27 19:05:29 2014  8 relations: 37017
Sat Dec 27 19:05:29 2014  9 relations: 31596
Sat Dec 27 19:05:29 2014  10+ relations: 119836
Sat Dec 27 19:05:29 2014  heaviest cycle: 21 relations
Sat Dec 27 19:05:29 2014  commencing cycle optimization
Sat Dec 27 19:05:30 2014  start with 3508040 relations
Sat Dec 27 19:05:35 2014  pruned 91609 relations
Sat Dec 27 19:05:35 2014  memory use: 111.8 MB
Sat Dec 27 19:05:35 2014  distribution of cycle lengths:
Sat Dec 27 19:05:35 2014  1 relations: 59836
Sat Dec 27 19:05:35 2014  2 relations: 60331
Sat Dec 27 19:05:35 2014  3 relations: 60268
Sat Dec 27 19:05:35 2014  4 relations: 56427
Sat Dec 27 19:05:35 2014  5 relations: 52607
Sat Dec 27 19:05:35 2014  6 relations: 48387
Sat Dec 27 19:05:35 2014  7 relations: 43203
Sat Dec 27 19:05:35 2014  8 relations: 37428
Sat Dec 27 19:05:35 2014  9 relations: 31834
Sat Dec 27 19:05:35 2014  10+ relations: 111304
Sat Dec 27 19:05:35 2014  heaviest cycle: 21 relations
Sat Dec 27 19:05:36 2014  RelProcTime: 142
Sat Dec 27 19:05:36 2014  
Sat Dec 27 19:05:36 2014  commencing linear algebra
Sat Dec 27 19:05:36 2014  read 561625 cycles
Sat Dec 27 19:05:37 2014  cycles contain 1821863 unique relations
Sat Dec 27 19:05:50 2014  read 1821863 relations
Sat Dec 27 19:05:52 2014  using 20 quadratic characters above 134216574
Sat Dec 27 19:05:58 2014  building initial matrix
Sat Dec 27 19:06:13 2014  memory use: 216.6 MB
Sat Dec 27 19:06:13 2014  read 561625 cycles
Sat Dec 27 19:06:13 2014  matrix is 561448 x 561625 (167.4 MB) with weight 49849332 (88.76/col)
Sat Dec 27 19:06:13 2014  sparse part has weight 37717917 (67.16/col)
Sat Dec 27 19:06:16 2014  filtering completed in 2 passes
Sat Dec 27 19:06:16 2014  matrix is 561274 x 561451 (167.4 MB) with weight 49843828 (88.78/col)
Sat Dec 27 19:06:16 2014  sparse part has weight 37716095 (67.18/col)
Sat Dec 27 19:06:18 2014  matrix starts at (0, 0)
Sat Dec 27 19:06:18 2014  matrix is 561274 x 561451 (167.4 MB) with weight 49843828 (88.78/col)
Sat Dec 27 19:06:18 2014  sparse part has weight 37716095 (67.18/col)
Sat Dec 27 19:06:18 2014  saving the first 48 matrix rows for later
Sat Dec 27 19:06:18 2014  matrix includes 64 packed rows
Sat Dec 27 19:06:18 2014  matrix is 561226 x 561451 (158.3 MB) with weight 39462207 (70.29/col)
Sat Dec 27 19:06:18 2014  sparse part has weight 35880722 (63.91/col)
Sat Dec 27 19:06:18 2014  using block size 65536 for processor cache size 8192 kB
Sat Dec 27 19:06:19 2014  commencing Lanczos iteration (8 threads)
Sat Dec 27 19:06:19 2014  memory use: 153.2 MB
Sat Dec 27 19:06:23 2014  linear algebra at 0.5%, ETA 0h12m
Sat Dec 27 19:17:10 2014  lanczos halted after 8876 iterations (dim = 561224)
Sat Dec 27 19:17:10 2014  recovered 38 nontrivial dependencies
Sat Dec 27 19:17:10 2014  BLanczosTime: 694
Sat Dec 27 19:17:10 2014  
Sat Dec 27 19:17:10 2014  commencing square root phase
Sat Dec 27 19:17:10 2014  reading relations for dependency 1
Sat Dec 27 19:17:10 2014  read 280764 cycles
Sat Dec 27 19:17:11 2014  cycles contain 909138 unique relations
Sat Dec 27 19:17:19 2014  read 909138 relations
Sat Dec 27 19:17:22 2014  multiplying 909138 relations
Sat Dec 27 19:17:37 2014  multiply complete, coefficients have about 24.35 million bits
Sat Dec 27 19:17:38 2014  initial square root is modulo 9830671
Sat Dec 27 19:17:58 2014  sqrtTime: 48
--
n: 1186175790921552181494620006806220285791351488395998037167994922830506737973517774414541226314755624107576688845799900320568297137907
m: 100000000000000000000000000000000
deg: 5
c5: 112
c0: -1
skew: 0.39
# Murphy_E = 6.304e-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 21:23:32 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 32 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:48 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 48 秒 (日本時間)

112×10164-13

c163

name 名前Serge Batalov
date 日付December 19, 2014 17:59:50 UTC 2014 年 12 月 20 日 (土) 2 時 59 分 50 秒 (日本時間)
composite number 合成数
1690055832201599517126905085257280820884261355062622604496755696393541572355515316130979326995623962577335144107439263618530255017353251848498566470499471857552437<163>
prime factors 素因数
802045549220099880767491436483<30>
2107181859989112714330243783788838137221149412362298933593744502212951388988585967980300331012217941130233681324874760853587509251239<133>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3532502492
Step 1 took 3655ms
Step 2 took 2503ms
********** Factor found in step 2: 802045549220099880767491436483
Found probable prime factor of 30 digits: 802045549220099880767491436483
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)

112×10165-13

c166

name 名前Serge Batalov
date 日付December 20, 2014 08:04:59 UTC 2014 年 12 月 20 日 (土) 17 時 4 分 59 秒 (日本時間)
composite number 合成数
1009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009<166>
prime factors 素因数
610085104515244985055911978720739347050583<42>
1653882387131442571932116623469609161841545652726849978169753520277014633619023982577238675687461217636089692024056210063223<124>
factorization results 素因数分解の結果
Divisors found:
 r1=610085104515244985055911978720739347050583 (pp42)
 r2=1653882387131442571932116623469609161841545652726849978169753520277014633619023982577238675687461217636089692024056210063223 (pp124)
Version: Msieve v. 1.51 (SVN 719M)
Total time: 28.32 hours.
Scaled time: 67.97 units (timescale=2.400).
Factorization parameters were as follows:
# res 2478 37333_165
n: 1009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009
m: 1000000000000000000000000000000000
deg: 5
c5: 112
c0: -1
skew: 0.39
# Murphy_E = 4.015e-10
type: snfs
lss: 1
rlim: 4300000
alim: 4300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4300000/4300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2150000, 4850001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 782926 x 783151
Total sieving time: 27.83 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.32 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,167.000,5,0,0,0,0,0,0,0,0,4300000,4300000,27,27,51,51,2.4,2.4,100000
total time: 28.32 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:10 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 10 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:31 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 31 秒 (日本時間)

112×10166-13

c124

name 名前Jo Yeong Uk
date 日付March 14, 2015 14:31:23 UTC 2015 年 3 月 14 日 (土) 23 時 31 分 23 秒 (日本時間)
composite number 合成数
1345784130519774261422993911088095354212643988254335361818026044302450768351240741547948049951037345904620953406904355557751<124>
prime factors 素因数
70012215600648232309405834712879472903617<41>
19222133151679802769423769763139223078805601132254957554583009561155956411147195703<83>
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 1345784130519774261422993911088095354212643988254335361818026044302450768351240741547948049951037345904620953406904355557751 (124 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=189281599
Step 1 took 19585ms
Step 2 took 7501ms
********** Factor found in step 2: 70012215600648232309405834712879472903617
Found probable prime factor of 41 digits: 70012215600648232309405834712879472903617
Probable prime cofactor 19222133151679802769423769763139223078805601132254957554583009561155956411147195703 has 83 digits
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 20, 2014 21:23:33 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 33 秒 (日本時間)
4511e6600 / 4409Pierre JammesDecember 26, 2014 18:58:43 UTC 2014 年 12 月 27 日 (土) 3 時 58 分 43 秒 (日本時間)

112×10167-13

c137

name 名前Serge Batalov
date 日付December 21, 2014 01:59:45 UTC 2014 年 12 月 21 日 (日) 10 時 59 分 45 秒 (日本時間)
composite number 合成数
15716405335828935399287288950968593299195989171857386919903315217071393922227586845274223801686662923754624771029768305464110257614223583<137>
prime factors 素因数
77629217466204653233271883691<29>
202454769593303765328705433767916096487486799542046870703939221892903461329987394159780268341389309446131613<108>
factorization results 素因数分解の結果
Input number is 15716405335828935399287288950968593299195989171857386919903315217071393922227586845274223801686662923754624771029768305464110257614223583 (137 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3142509453
Step 1 took 9362ms
Step 2 took 7152ms
********** Factor found in step 2: 77629217466204653233271883691
Found probable prime factor of 29 digits: 77629217466204653233271883691
Probable prime cofactor 202454769593303765328705433767916096487486799542046870703939221892903461329987394159780268341389309446131613 has 108 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:23:33 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 33 秒 (日本時間)

112×10168-13

c115

name 名前Cyp
date 日付December 21, 2014 18:03:04 UTC 2014 年 12 月 22 日 (月) 3 時 3 分 4 秒 (日本時間)
composite number 合成数
1952698377225471479235824977487830737982766266174385641749561881220414878067403203879290037038691333211624129135703<115>
prime factors 素因数
13118620894939647570879387670532151365851093<44>
148849364034805039613760694066158397226917862572756157511271079755451771<72>
factorization results 素因数分解の結果
12/21/14 14:02:20 v1.34.3, 
12/21/14 14:02:20 v1.34.3, ****************************
12/21/14 14:02:20 v1.34.3, Starting factorization of 1952698377225471479235824977487830737982766266174385641749561881220414878067403203879290037038691333211624129135703
12/21/14 14:02:20 v1.34.3, using pretesting plan: none
12/21/14 14:02:20 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/21/14 14:02:20 v1.34.3, ****************************
12/21/14 14:02:20 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C115
12/21/14 14:02:20 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C115
12/21/14 14:02:20 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C115
12/21/14 14:02:20 v1.34.3, final ECM pretested depth: 0.00
12/21/14 14:02:20 v1.34.3, scheduler: switching to sieve method
12/21/14 14:02:20 v1.34.3, nfs: commencing nfs on c115: 1952698377225471479235824977487830737982766266174385641749561881220414878067403203879290037038691333211624129135703
12/21/14 14:02:20 v1.34.3, nfs: commencing poly selection with 8 threads
12/21/14 14:02:20 v1.34.3, nfs: setting deadline of 825 seconds
12/21/14 14:15:46 v1.34.3, nfs: completed 60 ranges of size 250 in 805.6906 seconds
12/21/14 14:15:46 v1.34.3, nfs: best poly = # norm 6.559821e-11 alpha -7.065261 e 5.526e-10 rroots 3
12/21/14 14:15:46 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 14:26:11 v1.34.3, nfs: commencing lattice sieving with 8 threads
[20 lines snipped]
12/21/14 18:22:12 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 18:33:02 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 18:41:23 v1.34.3, nfs: commencing msieve filtering
12/21/14 18:44:16 v1.34.3, nfs: commencing msieve linear algebra
12/21/14 18:58:47 v1.34.3, nfs: commencing msieve sqrt
12/21/14 19:03:04 v1.34.3, prp44 = 13118620894939647570879387670532151365851093
12/21/14 19:03:04 v1.34.3, prp72 = 148849364034805039613760694066158397226917862572756157511271079755451771
12/21/14 19:03:04 v1.34.3, NFS elapsed time = 18043.7714 seconds.
12/21/14 19:03:04 v1.34.3, 
12/21/14 19:03:04 v1.34.3, 
12/21/14 19:03:04 v1.34.3, Total factoring time = 18043.8136 seconds
--
Sun Dec 21 18:41:23 2014  
Sun Dec 21 18:41:23 2014  commencing relation filtering
Sun Dec 21 18:41:23 2014  estimated available RAM is 15987.3 MB
Sun Dec 21 18:41:23 2014  commencing duplicate removal, pass 1
Sun Dec 21 18:42:07 2014  found 1031533 hash collisions in 10293573 relations
Sun Dec 21 18:42:17 2014  added 63063 free relations
Sun Dec 21 18:42:17 2014  commencing duplicate removal, pass 2
Sun Dec 21 18:42:25 2014  found 433029 duplicates and 9923607 unique relations
Sun Dec 21 18:42:25 2014  memory use: 41.3 MB
Sun Dec 21 18:42:25 2014  reading ideals above 100000
Sun Dec 21 18:42:25 2014  commencing singleton removal, initial pass
Sun Dec 21 18:43:39 2014  memory use: 344.5 MB
Sun Dec 21 18:43:39 2014  reading all ideals from disk
Sun Dec 21 18:43:39 2014  memory use: 341.6 MB
Sun Dec 21 18:43:40 2014  keeping 10682311 ideals with weight <= 200, target excess is 57701
Sun Dec 21 18:43:41 2014  commencing in-memory singleton removal
Sun Dec 21 18:43:42 2014  begin with 9923607 relations and 10682311 unique ideals
Sun Dec 21 18:43:49 2014  reduce to 3797175 relations and 3433934 ideals in 21 passes
Sun Dec 21 18:43:49 2014  max relations containing the same ideal: 110
Sun Dec 21 18:43:51 2014  removing 902269 relations and 754115 ideals in 148154 cliques
Sun Dec 21 18:43:51 2014  commencing in-memory singleton removal
Sun Dec 21 18:43:52 2014  begin with 2894906 relations and 3433934 unique ideals
Sun Dec 21 18:43:54 2014  reduce to 2720072 relations and 2496000 ideals in 10 passes
Sun Dec 21 18:43:54 2014  max relations containing the same ideal: 87
Sun Dec 21 18:43:55 2014  removing 682628 relations and 534474 ideals in 148154 cliques
Sun Dec 21 18:43:56 2014  commencing in-memory singleton removal
Sun Dec 21 18:43:56 2014  begin with 2037444 relations and 2496000 unique ideals
Sun Dec 21 18:43:57 2014  reduce to 1893580 relations and 1809244 ideals in 10 passes
Sun Dec 21 18:43:57 2014  max relations containing the same ideal: 67
Sun Dec 21 18:43:58 2014  removing 131151 relations and 113749 ideals in 17402 cliques
Sun Dec 21 18:43:58 2014  commencing in-memory singleton removal
Sun Dec 21 18:43:58 2014  begin with 1762429 relations and 1809244 unique ideals
Sun Dec 21 18:43:59 2014  reduce to 1756015 relations and 1689027 ideals in 7 passes
Sun Dec 21 18:43:59 2014  max relations containing the same ideal: 65
Sun Dec 21 18:43:59 2014  relations with 0 large ideals: 224
Sun Dec 21 18:43:59 2014  relations with 1 large ideals: 1994
Sun Dec 21 18:43:59 2014  relations with 2 large ideals: 18178
Sun Dec 21 18:43:59 2014  relations with 3 large ideals: 93225
Sun Dec 21 18:43:59 2014  relations with 4 large ideals: 271777
Sun Dec 21 18:43:59 2014  relations with 5 large ideals: 470295
Sun Dec 21 18:43:59 2014  relations with 6 large ideals: 484266
Sun Dec 21 18:43:59 2014  relations with 7+ large ideals: 416056
Sun Dec 21 18:43:59 2014  commencing 2-way merge
Sun Dec 21 18:44:00 2014  reduce to 993158 relation sets and 926170 unique ideals
Sun Dec 21 18:44:00 2014  commencing full merge
Sun Dec 21 18:44:11 2014  memory use: 105.0 MB
Sun Dec 21 18:44:11 2014  found 497110 cycles, need 488370
Sun Dec 21 18:44:11 2014  weight of 488370 cycles is about 34394935 (70.43/cycle)
Sun Dec 21 18:44:11 2014  distribution of cycle lengths:
Sun Dec 21 18:44:11 2014  1 relations: 53918
Sun Dec 21 18:44:11 2014  2 relations: 50854
Sun Dec 21 18:44:11 2014  3 relations: 52044
Sun Dec 21 18:44:11 2014  4 relations: 48682
Sun Dec 21 18:44:11 2014  5 relations: 45857
Sun Dec 21 18:44:11 2014  6 relations: 40049
Sun Dec 21 18:44:11 2014  7 relations: 36601
Sun Dec 21 18:44:11 2014  8 relations: 32098
Sun Dec 21 18:44:11 2014  9 relations: 28054
Sun Dec 21 18:44:11 2014  10+ relations: 100213
Sun Dec 21 18:44:11 2014  heaviest cycle: 20 relations
Sun Dec 21 18:44:11 2014  commencing cycle optimization
Sun Dec 21 18:44:12 2014  start with 2991556 relations
Sun Dec 21 18:44:15 2014  pruned 62859 relations
Sun Dec 21 18:44:15 2014  memory use: 100.9 MB
Sun Dec 21 18:44:15 2014  distribution of cycle lengths:
Sun Dec 21 18:44:15 2014  1 relations: 53918
Sun Dec 21 18:44:15 2014  2 relations: 51897
Sun Dec 21 18:44:15 2014  3 relations: 53619
Sun Dec 21 18:44:15 2014  4 relations: 49718
Sun Dec 21 18:44:15 2014  5 relations: 46727
Sun Dec 21 18:44:15 2014  6 relations: 40831
Sun Dec 21 18:44:15 2014  7 relations: 37092
Sun Dec 21 18:44:15 2014  8 relations: 32267
Sun Dec 21 18:44:15 2014  9 relations: 27956
Sun Dec 21 18:44:15 2014  10+ relations: 94345
Sun Dec 21 18:44:15 2014  heaviest cycle: 20 relations
Sun Dec 21 18:44:16 2014  RelProcTime: 173
Sun Dec 21 18:44:16 2014  
Sun Dec 21 18:44:16 2014  commencing linear algebra
Sun Dec 21 18:44:16 2014  read 488370 cycles
Sun Dec 21 18:44:17 2014  cycles contain 1699123 unique relations
Sun Dec 21 18:44:35 2014  read 1699123 relations
Sun Dec 21 18:44:36 2014  using 20 quadratic characters above 134215554
Sun Dec 21 18:44:44 2014  building initial matrix
Sun Dec 21 18:45:00 2014  memory use: 214.2 MB
Sun Dec 21 18:45:00 2014  read 488370 cycles
Sun Dec 21 18:45:00 2014  matrix is 488191 x 488370 (149.0 MB) with weight 47274470 (96.80/col)
Sun Dec 21 18:45:00 2014  sparse part has weight 33194197 (67.97/col)
Sun Dec 21 18:45:04 2014  filtering completed in 2 passes
Sun Dec 21 18:45:04 2014  matrix is 487504 x 487683 (148.9 MB) with weight 47244606 (96.88/col)
Sun Dec 21 18:45:04 2014  sparse part has weight 33185029 (68.05/col)
Sun Dec 21 18:45:06 2014  matrix starts at (0, 0)
Sun Dec 21 18:45:06 2014  matrix is 487504 x 487683 (148.9 MB) with weight 47244606 (96.88/col)
Sun Dec 21 18:45:06 2014  sparse part has weight 33185029 (68.05/col)
Sun Dec 21 18:45:06 2014  saving the first 48 matrix rows for later
Sun Dec 21 18:45:06 2014  matrix includes 64 packed rows
Sun Dec 21 18:45:06 2014  matrix is 487456 x 487683 (143.1 MB) with weight 37763992 (77.44/col)
Sun Dec 21 18:45:06 2014  sparse part has weight 32626091 (66.90/col)
Sun Dec 21 18:45:06 2014  using block size 65536 for processor cache size 8192 kB
Sun Dec 21 18:45:08 2014  commencing Lanczos iteration (8 threads)
Sun Dec 21 18:45:08 2014  memory use: 135.5 MB
Sun Dec 21 18:45:29 2014  linear algebra at 2.5%, ETA 0h13m
Sun Dec 21 18:58:47 2014  lanczos halted after 7711 iterations (dim = 487456)
Sun Dec 21 18:58:47 2014  recovered 32 nontrivial dependencies
Sun Dec 21 18:58:47 2014  BLanczosTime: 871
Sun Dec 21 18:58:47 2014  
Sun Dec 21 18:58:47 2014  commencing square root phase
Sun Dec 21 18:58:47 2014  reading relations for dependency 1
Sun Dec 21 18:58:47 2014  read 243406 cycles
Sun Dec 21 18:58:48 2014  cycles contain 848548 unique relations
Sun Dec 21 18:59:02 2014  read 848548 relations
Sun Dec 21 18:59:05 2014  multiplying 848548 relations
Sun Dec 21 18:59:55 2014  multiply complete, coefficients have about 36.81 million bits
Sun Dec 21 18:59:55 2014  initial square root is modulo 193051
Sun Dec 21 19:00:57 2014  GCD is N, no factor found
Sun Dec 21 19:00:57 2014  reading relations for dependency 2
Sun Dec 21 19:00:57 2014  read 244428 cycles
Sun Dec 21 19:00:57 2014  cycles contain 850982 unique relations
Sun Dec 21 19:01:11 2014  read 850982 relations
Sun Dec 21 19:01:14 2014  multiplying 850982 relations
Sun Dec 21 19:02:02 2014  multiply complete, coefficients have about 36.92 million bits
Sun Dec 21 19:02:02 2014  initial square root is modulo 199873
Sun Dec 21 19:03:04 2014  sqrtTime: 257
--
n: 1952698377225471479235824977487830737982766266174385641749561881220414878067403203879290037038691333211624129135703
skew: 89481.40
c0: -2088228661090282192677480345
c1: 974581314415182726344196
c2: -35014676378604472751
c3: -343213570289440
c4: 1173803500
c5: 13200
Y0: -10814638577246439962516
Y1: 331605900977
rlim: 4500000
alim: 4500000
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 18:01:45 UTC 2014 年 12 月 20 日 (土) 3 時 1 分 45 秒 (日本時間)

112×10169-13

c117

name 名前Cyp
date 日付December 22, 2014 11:18:56 UTC 2014 年 12 月 22 日 (月) 20 時 18 分 56 秒 (日本時間)
composite number 合成数
189546753972116696723461121112354158960585252815269141500607067432707918277823548990390075706638564709403130242531127<117>
prime factors 素因数
2276149471963189316809504145611874779184840124317<49>
83275178676482856633482577990433539475390177456841120579372171176931<68>
factorization results 素因数分解の結果
12/22/14 06:23:38 v1.34.3, 
12/22/14 06:23:38 v1.34.3, ****************************
12/22/14 06:23:38 v1.34.3, Starting factorization of 189546753972116696723461121112354158960585252815269141500607067432707918277823548990390075706638564709403130242531127
12/22/14 06:23:38 v1.34.3, using pretesting plan: none
12/22/14 06:23:38 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/22/14 06:23:38 v1.34.3, ****************************
12/22/14 06:23:38 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C117
12/22/14 06:23:38 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C117
12/22/14 06:23:38 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C117
12/22/14 06:23:38 v1.34.3, final ECM pretested depth: 0.00
12/22/14 06:23:38 v1.34.3, scheduler: switching to sieve method
12/22/14 06:23:38 v1.34.3, nfs: commencing nfs on c117: 189546753972116696723461121112354158960585252815269141500607067432707918277823548990390075706638564709403130242531127
12/22/14 06:23:38 v1.34.3, nfs: commencing poly selection with 8 threads
12/22/14 06:23:38 v1.34.3, nfs: setting deadline of 1125 seconds
12/22/14 06:43:26 v1.34.3, nfs: completed 77 ranges of size 250 in 1187.6861 seconds
12/22/14 06:43:26 v1.34.3, nfs: best poly = # norm 4.193547e-11 alpha -6.689008 e 4.373e-10 rroots 3
12/22/14 06:43:26 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/22/14 06:53:11 v1.34.3, nfs: commencing lattice sieving with 8 threads
[26 lines snipped]
12/22/14 11:28:51 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/22/14 11:39:40 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/22/14 11:50:19 v1.34.3, nfs: commencing msieve filtering
12/22/14 11:53:51 v1.34.3, nfs: commencing msieve linear algebra
12/22/14 12:16:34 v1.34.3, nfs: commencing msieve sqrt
12/22/14 12:18:55 v1.34.3, prp49 = 2276149471963189316809504145611874779184840124317
12/22/14 12:18:55 v1.34.3, prp68 = 83275178676482856633482577990433539475390177456841120579372171176931
12/22/14 12:18:55 v1.34.3, NFS elapsed time = 21316.8064 seconds.
12/22/14 12:18:55 v1.34.3, 
12/22/14 12:18:55 v1.34.3, 
12/22/14 12:18:55 v1.34.3, Total factoring time = 21316.8539 seconds
--
Mon Dec 22 11:50:19 2014  
Mon Dec 22 11:50:19 2014  commencing relation filtering
Mon Dec 22 11:50:19 2014  estimated available RAM is 15987.3 MB
Mon Dec 22 11:50:19 2014  commencing duplicate removal, pass 1
Mon Dec 22 11:51:18 2014  found 1074106 hash collisions in 10155031 relations
Mon Dec 22 11:51:34 2014  added 62647 free relations
Mon Dec 22 11:51:34 2014  commencing duplicate removal, pass 2
Mon Dec 22 11:51:48 2014  found 513621 duplicates and 9704057 unique relations
Mon Dec 22 11:51:48 2014  memory use: 41.3 MB
Mon Dec 22 11:51:48 2014  reading ideals above 100000
Mon Dec 22 11:51:48 2014  commencing singleton removal, initial pass
Mon Dec 22 11:53:08 2014  memory use: 344.5 MB
Mon Dec 22 11:53:08 2014  reading all ideals from disk
Mon Dec 22 11:53:08 2014  memory use: 339.9 MB
Mon Dec 22 11:53:09 2014  keeping 10721467 ideals with weight <= 200, target excess is 50131
Mon Dec 22 11:53:09 2014  commencing in-memory singleton removal
Mon Dec 22 11:53:10 2014  begin with 9704057 relations and 10721467 unique ideals
Mon Dec 22 11:53:13 2014  reduce to 3411137 relations and 3243187 ideals in 19 passes
Mon Dec 22 11:53:13 2014  max relations containing the same ideal: 101
Mon Dec 22 11:53:14 2014  removing 522533 relations and 467634 ideals in 54899 cliques
Mon Dec 22 11:53:14 2014  commencing in-memory singleton removal
Mon Dec 22 11:53:14 2014  begin with 2888604 relations and 3243187 unique ideals
Mon Dec 22 11:53:18 2014  reduce to 2818771 relations and 2704209 ideals in 12 passes
Mon Dec 22 11:53:18 2014  max relations containing the same ideal: 90
Mon Dec 22 11:53:19 2014  removing 385881 relations and 330982 ideals in 54899 cliques
Mon Dec 22 11:53:19 2014  commencing in-memory singleton removal
Mon Dec 22 11:53:19 2014  begin with 2432890 relations and 2704209 unique ideals
Mon Dec 22 11:53:21 2014  reduce to 2385956 relations and 2325321 ideals in 10 passes
Mon Dec 22 11:53:21 2014  max relations containing the same ideal: 80
Mon Dec 22 11:53:23 2014  relations with 0 large ideals: 163
Mon Dec 22 11:53:23 2014  relations with 1 large ideals: 503
Mon Dec 22 11:53:23 2014  relations with 2 large ideals: 7677
Mon Dec 22 11:53:23 2014  relations with 3 large ideals: 59818
Mon Dec 22 11:53:23 2014  relations with 4 large ideals: 243027
Mon Dec 22 11:53:23 2014  relations with 5 large ideals: 550995
Mon Dec 22 11:53:23 2014  relations with 6 large ideals: 716528
Mon Dec 22 11:53:23 2014  relations with 7+ large ideals: 807245
Mon Dec 22 11:53:23 2014  commencing 2-way merge
Mon Dec 22 11:53:25 2014  reduce to 1325379 relation sets and 1264745 unique ideals
Mon Dec 22 11:53:25 2014  ignored 1 oversize relation sets
Mon Dec 22 11:53:25 2014  commencing full merge
Mon Dec 22 11:53:42 2014  memory use: 140.6 MB
Mon Dec 22 11:53:42 2014  found 653426 cycles, need 644945
Mon Dec 22 11:53:43 2014  weight of 644945 cycles is about 45289674 (70.22/cycle)
Mon Dec 22 11:53:43 2014  distribution of cycle lengths:
Mon Dec 22 11:53:43 2014  1 relations: 77064
Mon Dec 22 11:53:43 2014  2 relations: 74035
Mon Dec 22 11:53:43 2014  3 relations: 72712
Mon Dec 22 11:53:43 2014  4 relations: 64535
Mon Dec 22 11:53:43 2014  5 relations: 58318
Mon Dec 22 11:53:43 2014  6 relations: 49322
Mon Dec 22 11:53:43 2014  7 relations: 43878
Mon Dec 22 11:53:43 2014  8 relations: 37819
Mon Dec 22 11:53:43 2014  9 relations: 32185
Mon Dec 22 11:53:43 2014  10+ relations: 135077
Mon Dec 22 11:53:43 2014  heaviest cycle: 22 relations
Mon Dec 22 11:53:43 2014  commencing cycle optimization
Mon Dec 22 11:53:44 2014  start with 3954663 relations
Mon Dec 22 11:53:49 2014  pruned 75782 relations
Mon Dec 22 11:53:49 2014  memory use: 135.1 MB
Mon Dec 22 11:53:49 2014  distribution of cycle lengths:
Mon Dec 22 11:53:49 2014  1 relations: 77064
Mon Dec 22 11:53:49 2014  2 relations: 75485
Mon Dec 22 11:53:49 2014  3 relations: 74796
Mon Dec 22 11:53:49 2014  4 relations: 65692
Mon Dec 22 11:53:49 2014  5 relations: 59329
Mon Dec 22 11:53:49 2014  6 relations: 49969
Mon Dec 22 11:53:49 2014  7 relations: 43994
Mon Dec 22 11:53:49 2014  8 relations: 37722
Mon Dec 22 11:53:49 2014  9 relations: 31877
Mon Dec 22 11:53:49 2014  10+ relations: 129017
Mon Dec 22 11:53:49 2014  heaviest cycle: 22 relations
Mon Dec 22 11:53:50 2014  RelProcTime: 211
Mon Dec 22 11:53:51 2014  
Mon Dec 22 11:53:51 2014  commencing linear algebra
Mon Dec 22 11:53:51 2014  read 644945 cycles
Mon Dec 22 11:53:52 2014  cycles contain 2296357 unique relations
Mon Dec 22 11:54:12 2014  read 2296357 relations
Mon Dec 22 11:54:14 2014  using 20 quadratic characters above 134216738
Mon Dec 22 11:54:25 2014  building initial matrix
Mon Dec 22 11:54:50 2014  memory use: 291.0 MB
Mon Dec 22 11:54:51 2014  read 644945 cycles
Mon Dec 22 11:54:51 2014  matrix is 644765 x 644945 (193.8 MB) with weight 61487156 (95.34/col)
Mon Dec 22 11:54:51 2014  sparse part has weight 43720486 (67.79/col)
Mon Dec 22 11:54:57 2014  filtering completed in 2 passes
Mon Dec 22 11:54:57 2014  matrix is 643119 x 643298 (193.7 MB) with weight 61415979 (95.47/col)
Mon Dec 22 11:54:57 2014  sparse part has weight 43698522 (67.93/col)
Mon Dec 22 11:54:58 2014  matrix starts at (0, 0)
Mon Dec 22 11:54:59 2014  matrix is 643119 x 643298 (193.7 MB) with weight 61415979 (95.47/col)
Mon Dec 22 11:54:59 2014  sparse part has weight 43698522 (67.93/col)
Mon Dec 22 11:54:59 2014  saving the first 48 matrix rows for later
Mon Dec 22 11:54:59 2014  matrix includes 64 packed rows
Mon Dec 22 11:54:59 2014  matrix is 643071 x 643298 (186.9 MB) with weight 48983653 (76.14/col)
Mon Dec 22 11:54:59 2014  sparse part has weight 42559530 (66.16/col)
Mon Dec 22 11:54:59 2014  using block size 65536 for processor cache size 8192 kB
Mon Dec 22 11:55:01 2014  commencing Lanczos iteration (8 threads)
Mon Dec 22 11:55:01 2014  memory use: 179.2 MB
Mon Dec 22 11:55:06 2014  linear algebra at 0.5%, ETA 0h17m
Mon Dec 22 12:16:33 2014  lanczos halted after 10171 iterations (dim = 643069)
Mon Dec 22 12:16:34 2014  recovered 29 nontrivial dependencies
Mon Dec 22 12:16:34 2014  BLanczosTime: 1363
Mon Dec 22 12:16:34 2014  
Mon Dec 22 12:16:34 2014  commencing square root phase
Mon Dec 22 12:16:34 2014  reading relations for dependency 1
Mon Dec 22 12:16:34 2014  read 321665 cycles
Mon Dec 22 12:16:34 2014  cycles contain 1147472 unique relations
Mon Dec 22 12:16:48 2014  read 1147472 relations
Mon Dec 22 12:16:53 2014  multiplying 1147472 relations
Mon Dec 22 12:17:50 2014  multiply complete, coefficients have about 44.73 million bits
Mon Dec 22 12:17:50 2014  initial square root is modulo 2642987
Mon Dec 22 12:18:55 2014  sqrtTime: 141
--
n: 189546753972116696723461121112354158960585252815269141500607067432707918277823548990390075706638564709403130242531127
skew: 524318.87
c0: 1537663645267892325736401892432
c1: 6201941305609752951739064
c2: 13108080014199559226
c3: -111460937601821
c4: -212355276
c5: 180
Y0: -63751433574383547599955
Y1: 737781225271
rlim: 4900000
alim: 4900000
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 18:01:46 UTC 2014 年 12 月 20 日 (土) 3 時 1 分 46 秒 (日本時間)

112×10173-13

c123

name 名前Serge Batalov
date 日付December 19, 2014 17:56:11 UTC 2014 年 12 月 20 日 (土) 2 時 56 分 11 秒 (日本時間)
composite number 合成数
279609334153308347599017371105220679078133219693649306595122221515256765564820880730260304666561966353124357818907730498857<123>
prime factors 素因数
3222186027947437037658003761917<31>
86776285331800702047203815861370878306704493025547538569177816416921339372875480334492145821<92>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=2177653944
Step 1 took 2516ms
Step 2 took 1954ms
********** Factor found in step 2: 3222186027947437037658003761917
Found probable prime factor of 31 digits: 3222186027947437037658003761917
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)

112×10175-13

c162

name 名前Serge Batalov
date 日付December 21, 2014 00:02:23 UTC 2014 年 12 月 21 日 (日) 9 時 2 分 23 秒 (日本時間)
composite number 合成数
694704731877607271694841657263140313851131168624551259993453533869794328768777593251194577955443196772009328141962209724641898721996815140323216561635059385199977<162>
prime factors 素因数
19903630401220767929754071241041341<35>
70044217550327919855360266175758227<35>
498305488076875764900835961031138607797351709504321774910741297640489528968592264745087930511<93>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2102029602
Step 1 took 10990ms
********** Factor found in step 1: 19903630401220767929754071241041341
Found probable prime factor of 35 digits: 19903630401220767929754071241041341
Composite cofactor 34903418013379021464612204173556483999561034783715530019365488810689018926296521997661255703216219398620986181789737551712563997 has 128 digits

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=776061580
Step 1 took 9887ms
Step 2 took 7223ms
********** Factor found in step 2: 70044217550327919855360266175758227
Found probable prime factor of 35 digits: 70044217550327919855360266175758227

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:23:34 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 34 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:48 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 48 秒 (日本時間)

112×10177-13

c134

name 名前Jo Yeong Uk
date 日付August 24, 2015 21:30:29 UTC 2015 年 8 月 25 日 (火) 6 時 30 分 29 秒 (日本時間)
composite number 合成数
45101008741794824137303461990522231711570200194629144572553399379376169239775988588335516338950354628392598472860975829103620326767613<134>
prime factors 素因数
1193423043715390476970431006289114673348756870447473511<55>
37791300393685533792170904904011087461975902063592614509605266564900335052524283<80>
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 45101008741794824137303461990522231711570200194629144572553399379376169239775988588335516338950354628392598472860975829103620326767613 (134 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=852960306
Step 1 took 19827ms
Step 2 took 7751ms
********** Factor found in step 2: 1193423043715390476970431006289114673348756870447473511
Found probable prime factor of 55 digits: 1193423043715390476970431006289114673348756870447473511
Probable prime cofactor 37791300393685533792170904904011087461975902063592614509605266564900335052524283 has 80 digits
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:34 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 34 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:49 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 49 秒 (日本時間)
4511e64342498KTakahashiApril 30, 2015 23:07:39 UTC 2015 年 5 月 1 日 (金) 8 時 7 分 39 秒 (日本時間)
3844KTakahashiJuly 22, 2015 20:40:56 UTC 2015 年 7 月 23 日 (木) 5 時 40 分 56 秒 (日本時間)

112×10178-13

c107

name 名前Serge Batalov
date 日付December 19, 2014 17:51:50 UTC 2014 年 12 月 20 日 (土) 2 時 51 分 50 秒 (日本時間)
composite number 合成数
28057444127862929951930258227553228596903438070484805878288382880152063291860112554452303083821502531652909<107>
prime factors 素因数
45077865871165676771947061000334523<35>
622421749247229555600922786853585690770928959788098187010696984969462583<72>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=1047906183
Step 1 took 1778ms
Step 2 took 1482ms
********** Factor found in step 2: 45077865871165676771947061000334523
Found probable prime factor of 35 digits: 45077865871165676771947061000334523
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)

112×10180-13

c163

name 名前Serge Batalov
date 日付December 21, 2014 01:59:49 UTC 2014 年 12 月 21 日 (日) 10 時 59 分 49 秒 (日本時間)
composite number 合成数
5576623593880124949666272614498338819216572343519492137029968359417537126344420500238450248168984390726939672671491931827431008569383493439299232058493135772650247<163>
prime factors 素因数
251705540622357522623097267173<30>
22155346998288468656495947019536314142759729573668981676702097193141493521941698352207359683001707599906495337086718373935766957628539<134>
factorization results 素因数分解の結果
Input number is 5576623593880124949666272614498338819216572343519492137029968359417537126344420500238450248168984390726939672671491931827431008569383493439299232058493135772650247 (163 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3807939215
Step 1 took 11045ms
********** Factor found in step 1: 251705540622357522623097267173
Found probable prime factor of 30 digits: 251705540622357522623097267173
Probable prime cofactor 22155346998288468656495947019536314142759729573668981676702097193141493521941698352207359683001707599906495337086718373935766957628539 has 134 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:23:35 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 35 秒 (日本時間)

112×10182-13

c158

name 名前KTakahashi
date 日付May 25, 2015 09:27:04 UTC 2015 年 5 月 25 日 (月) 18 時 27 分 4 秒 (日本時間)
composite number 合成数
10037778819596426201526971098116421818591844472712534003649640239842175340647143681321008794881810332256024704305655835053282567125180524952367288368882162327<158>
prime factors 素因数
578761919669507114854485096788412360020863<42>
composite cofactor 合成数の残り
17343537089185725648225451649093270965039069854816708411434096658765629788277662991452834485607273490839472609617129<116>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM]
Input number is 10037778819596426201526971098116421818591844472712534003649640239842175340647143681321008794881810332256024704305655835053282567125180524952367288368882162327 (158 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=429187661
Step 1 took 50638ms
Step 2 took 20311ms
********** Factor found in step 2: 578761919669507114854485096788412360020863
Found probable prime factor of 42 digits: 578761919669507114854485096788412360020863
Composite cofactor 17343537089185725648225451649093270965039069854816708411434096658765629788277662991452834485607273490839472609617129 has 116 digits

c116

name 名前Dmitry Domanov
date 日付May 26, 2015 15:38:25 UTC 2015 年 5 月 27 日 (水) 0 時 38 分 25 秒 (日本時間)
composite number 合成数
17343537089185725648225451649093270965039069854816708411434096658765629788277662991452834485607273490839472609617129<116>
prime factors 素因数
267962332777490399626230633750278826246632019625837<51>
64723787516760386405713849212886355400877935239802456883438516717<65>
factorization results 素因数分解の結果
N=17343537089185725648225451649093270965039069854816708411434096658765629788277662991452834485607273490839472609617129
  ( 116 digits)
Divisors found:
 r1=267962332777490399626230633750278826246632019625837 (pp51)
 r2=64723787516760386405713849212886355400877935239802456883438516717 (pp65)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 21.90 hours.
Scaled time: 44.02 units (timescale=2.010).
Factorization parameters were as follows:
n: 17343537089185725648225451649093270965039069854816708411434096658765629788277662991452834485607273490839472609617129
skew: 43068.87
c0: 2351379747460399079883289740
c1: -95504295851851826008710
c2: -8845686073281565954
c3: 379297599359263
c4: 3649919594
c5: 24072
Y0: -14843110298641165961213
Y1: 208551234899
rlim: 4700000
alim: 4700000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 100000
Factor base limits: 4700000/4700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2350000, 3450001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 541813 x 542040
Total sieving time: 21.40 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.32 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
gnfs,115,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4700000,4700000,27,27,54,54,2.5,2.5,100000
total time: 21.90 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:35 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 35 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:49 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 49 秒 (日本時間)
4511e6600 / 4342KTakahashiMay 25, 2015 20:26:38 UTC 2015 年 5 月 26 日 (火) 5 時 26 分 38 秒 (日本時間)

112×10183-13

c176

name 名前Jo Yeong Uk
date 日付May 10, 2016 08:28:10 UTC 2016 年 5 月 10 日 (火) 17 時 28 分 10 秒 (日本時間)
composite number 合成数
29550401508732475955925984578489222092743356263898749367564351692354805633135099715285126730671142463351869743491304220629733319496674438314087886356233118576238901500107584437<176>
prime factors 素因数
972531520067851178081378222569284066208929961325899<51>
30385032154711875794203796752831016602578179433711345458627237191452936152588749124596589789039685290884700249923657880427263<125>
factorization results 素因数分解の結果
Number: 37333_183
N=29550401508732475955925984578489222092743356263898749367564351692354805633135099715285126730671142463351869743491304220629733319496674438314087886356233118576238901500107584437
  ( 176 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=972531520067851178081378222569284066208929961325899
 r2=30385032154711875794203796752831016602578179433711345458627237191452936152588749124596589789039685290884700249923657880427263
Version: 
Total time: 68.34 hours.
Scaled time: 355.44 units (timescale=5.201).
Factorization parameters were as follows:
n: 29550401508732475955925984578489222092743356263898749367564351692354805633135099715285126730671142463351869743491304220629733319496674438314087886356233118576238901500107584437
m: 2000000000000000000000000000000000000
deg: 5
c5: 3500
c0: -1
skew: 0.20
# Murphy_E = 5.85e-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, 6700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20187902
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1550848 x 1551096
Total sieving time: 63.11 hours.
Total relation processing time: 1.65 hours.
Matrix solve time: 2.91 hours.
Time per square root: 0.67 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: 68.34 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)
403e6600300Serge BatalovDecember 20, 2014 21:23:35 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 35 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:49 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 49 秒 (日本時間)
4511e6600 / 4342KTakahashiMay 31, 2015 11:39:25 UTC 2015 年 5 月 31 日 (日) 20 時 39 分 25 秒 (日本時間)

112×10184-13

c168

name 名前Serge Batalov
date 日付December 21, 2014 01:59:52 UTC 2014 年 12 月 21 日 (日) 10 時 59 分 52 秒 (日本時間)
composite number 合成数
311792136893133876910515062409983206866454213293934234179251321823439942671773083646149723826614532579867829103210781798320651789830753999936114589995975130095674097713<168>
prime factors 素因数
6420199142268140932522158337419781303<37>
48564246993588320446901468663636773620418384963367574508691292530985940205586537195758424501647530353387495892715628722236159568471<131>
factorization results 素因数分解の結果
Input number is 311792136893133876910515062409983206866454213293934234179251321823439942671773083646149723826614532579867829103210781798320651789830753999936114589995975130095674097713 (168 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=743577531
Step 1 took 11051ms
Step 2 took 8325ms
********** Factor found in step 2: 6420199142268140932522158337419781303
Found probable prime factor of 37 digits: 6420199142268140932522158337419781303
Probable prime cofactor 48564246993588320446901468663636773620418384963367574508691292530985940205586537195758424501647530353387495892715628722236159568471 has 131 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:23:36 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 36 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:50 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 50 秒 (日本時間)

112×10185-13

c181

name 名前Jo Yeong Uk
date 日付September 2, 2016 06:11:35 UTC 2016 年 9 月 2 日 (金) 15 時 11 分 35 秒 (日本時間)
composite number 合成数
2040921570846310041133680909565854070098731403241092789588092826215346017296445862641969328957743265551047913002802440431968339475231685598947613370004320558075425536703149961996947<181>
prime factors 素因数
76061538142351857964751383384311256193523727045836857436783108043968560765804135850821<86>
26832504583678720246220991144865892925576411922885109779497927853672457598743979736422950537207<95>
factorization results 素因数分解の結果
Number: 37333_185
N=2040921570846310041133680909565854070098731403241092789588092826215346017296445862641969328957743265551047913002802440431968339475231685598947613370004320558075425536703149961996947
  ( 181 digits)
SNFS difficulty: 187 digits.
Divisors found:
 r1=76061538142351857964751383384311256193523727045836857436783108043968560765804135850821
 r2=26832504583678720246220991144865892925576411922885109779497927853672457598743979736422950537207
Version: 
Total time: 64.82 hours.
Scaled time: 340.74 units (timescale=5.257).
Factorization parameters were as follows:
n: 2040921570846310041133680909565854070098731403241092789588092826215346017296445862641969328957743265551047913002802440431968339475231685598947613370004320558075425536703149961996947
m: 20000000000000000000000000000000000000
deg: 5
c5: 7
c0: -2
skew: 0.78
# Murphy_E = 6.311e-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, 6600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 19827431
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1621907 x 1622155
Total sieving time: 59.72 hours.
Total relation processing time: 1.51 hours.
Matrix solve time: 3.42 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,54,54,2.5,2.5,100000
total time: 64.82 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49368528k/51380224k available (5398k kernel code, 1086460k absent, 925236k reserved, 7010k data, 1296k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.70 BogoMIPS (lpj=3399852)
Total of 12 processors activated (81596.44 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:36 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 36 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:50 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 50 秒 (日本時間)
4511e6498 / 4342CypJuly 24, 2015 20:30:08 UTC 2015 年 7 月 25 日 (土) 5 時 30 分 8 秒 (日本時間)

112×10186-13

c129

name 名前Erik Branger
date 日付February 13, 2015 07:11:07 UTC 2015 年 2 月 13 日 (金) 16 時 11 分 7 秒 (日本時間)
composite number 合成数
124208615527241760982705681277431743423328699421745813269540535079139866861187251775033318071817947772585436132347400811354845047<129>
prime factors 素因数
3594648453450971507904626068014277455433449648868259381<55>
34553758771041358431818940647308467945474977680182667507424561520507556987<74>
factorization results 素因数分解の結果
Number: 37333_186
N = 124208615527241760982705681277431743423328699421745813269540535079139866861187251775033318071817947772585436132347400811354845047 (129 digits)
Divisors found:
r1=3594648453450971507904626068014277455433449648868259381 (pp55)
r2=34553758771041358431818940647308467945474977680182667507424561520507556987 (pp74)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 41.83 hours.
Factorization parameters were as follows:
# Murphy_E = 9.006e-11, selected by Maksym Voznyy
n: 124208615527241760982705681277431743423328699421745813269540535079139866861187251775033318071817947772585436132347400811354845047
Y0: -12810599385701601152131900
Y1: 5299051002157
c0: -1703411322796540644337457058739329
c1: 3760161980693143087994637247
c2: 765672194687356896439
c3: -3047245118266311
c4: 3947254314
c5: 360
skew: 1570716.31
type: gnfs
# selected mechanically
rlim: 8700000
alim: 8700000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8700000/8700000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 17339143
Relations: 2197380 relations
Pruned matrix : 1284441 x 1284674
Polynomial selection time: 0.00 hours.
Total sieving time: 40.51 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.02 hours.
time per square root: 0.21 hours.
Prototype def-par.txt line would be: gnfs,128,5,65,2000,1e-05,0.28,250,20,50000,3600,8700000,8700000,28,28,53,53,2.5,2.5,100000
total time: 41.83 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 18:01:52 UTC 2014 年 12 月 20 日 (土) 3 時 1 分 52 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:12 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 12 秒 (日本時間)

112×10187-13

c185

name 名前Robert Backstrom
date 日付December 27, 2014 22:19:49 UTC 2014 年 12 月 28 日 (日) 7 時 19 分 49 秒 (日本時間)
composite number 合成数
12058959699387361779557909923877816897617278766540693605521280833790927786211871615146914736694768349537560429385100724614274793544149789506551675872390365752554453739892546055535816187<185>
prime factors 素因数
928975589563413642242808371729116859243123136242602280652002200862403915339467302733<84>
12980922033758341541144844039321714025469721116466039713260710061091777143334231914235717682598811239<101>
factorization results 素因数分解の結果
Number: n
N=12058959699387361779557909923877816897617278766540693605521280833790927786211871615146914736694768349537560429385100724614274793544149789506551675872390365752554453739892546055535816187
  ( 185 digits)
SNFS difficulty: 189 digits.
Divisors found:

Sun Dec 28 09:03:46 2014  prp84 factor: 928975589563413642242808371729116859243123136242602280652002200862403915339467302733
Sun Dec 28 09:03:46 2014  prp101 factor: 12980922033758341541144844039321714025469721116466039713260710061091777143334231914235717682598811239
Sun Dec 28 09:03:46 2014  elapsed time 00:59:01 (Msieve 1.44 - dependency 2)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.272).
Factorization parameters were as follows:
#
#  N = 112*10^187-1 373(187)
#
n: 12058959699387361779557909923877816897617278766540693605521280833790927786211871615146914736694768349537560429385100724614274793544149789506551675872390365752554453739892546055535816187
m: 20000000000000000000000000000000000000
deg: 5
c5: 350
c0: -1
skew: 0.31
# Murphy_E = 4.009e-11
type: snfs
lss: 1
rlim: 9900000
alim: 9900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9900000/9900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 13350000)
Primes: RFBsize:658445, AFBsize:658857,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 4614810 hash collisions in 32911753 relations (30050344 unique)
Msieve: matrix is 1161970 x 1162196 (326.5 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0hrs 46min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 5sec.

Prototype def-par.txt line would be:
snfs,189,5,0,0,0,0,0,0,0,0,9900000,9900000,28,28,54,54,2.5,2.5,100000
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 18:02:21 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 21 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:42 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 42 秒 (日本時間)

112×10190-13

c122

name 名前Serge Batalov
date 日付December 19, 2014 17:57:09 UTC 2014 年 12 月 20 日 (土) 2 時 57 分 9 秒 (日本時間)
composite number 合成数
15820127616638827370966619272637454895485705840763548727176803205655322926171489758292230785100877133764110358733095245069<122>
prime factors 素因数
1418025346106287725102208731139039051393<40>
11156449114311553197292351383745812688953420289588969589289326371250270190193518733<83>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=1482158973
Step 1 took 2519ms
Step 2 took 1950ms
********** Factor found in step 2: 1418025346106287725102208731139039051393
Found probable prime factor of 40 digits: 1418025346106287725102208731139039051393
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)

112×10191-13

c149

name 名前Serge Batalov
date 日付December 21, 2014 01:59:56 UTC 2014 年 12 月 21 日 (日) 10 時 59 分 56 秒 (日本時間)
composite number 合成数
16236548879391009460185457277001383224694517122497852961147032740244633957088462795055371025093419531389853786677813577231072864598862147811259499553<149>
prime factors 素因数
6702968053947579904324346395585439<34>
composite cofactor 合成数の残り
2422292445482985179975629987204477027682044722592276180809860829435257189885206707452057345000894957186559471499327<115>
factorization results 素因数分解の結果
Input number is 16236548879391009460185457277001383224694517122497852961147032740244633957088462795055371025093419531389853786677813577231072864598862147811259499553 (149 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1172475563
Step 1 took 8527ms
Step 2 took 6690ms
********** Factor found in step 2: 6702968053947579904324346395585439
Found probable prime factor of 34 digits: 6702968053947579904324346395585439
Composite cofactor 2422292445482985179975629987204477027682044722592276180809860829435257189885206707452057345000894957186559471499327 has 115 digits

c115

name 名前Cyp
date 日付December 24, 2014 03:12:08 UTC 2014 年 12 月 24 日 (水) 12 時 12 分 8 秒 (日本時間)
composite number 合成数
2422292445482985179975629987204477027682044722592276180809860829435257189885206707452057345000894957186559471499327<115>
prime factors 素因数
92114288049784393188289959049607482664623185679541<50>
26296598462269229965881487605603726185313027318679449093483414947<65>
factorization results 素因数分解の結果
12/23/14 23:00:44 v1.34.3, 
12/23/14 23:00:44 v1.34.3, ****************************
12/23/14 23:00:44 v1.34.3, Starting factorization of 2422292445482985179975629987204477027682044722592276180809860829435257189885206707452057345000894957186559471499327
12/23/14 23:00:44 v1.34.3, using pretesting plan: none
12/23/14 23:00:44 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/23/14 23:00:44 v1.34.3, ****************************
12/23/14 23:00:44 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C115
12/23/14 23:00:44 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C115
12/23/14 23:00:44 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C115
12/23/14 23:00:44 v1.34.3, final ECM pretested depth: 0.00
12/23/14 23:00:44 v1.34.3, scheduler: switching to sieve method
12/23/14 23:00:44 v1.34.3, nfs: commencing nfs on c115: 2422292445482985179975629987204477027682044722592276180809860829435257189885206707452057345000894957186559471499327
12/23/14 23:00:44 v1.34.3, nfs: commencing poly selection with 8 threads
12/23/14 23:00:44 v1.34.3, nfs: setting deadline of 825 seconds
12/23/14 23:14:42 v1.34.3, nfs: completed 51 ranges of size 250 in 837.4538 seconds
12/23/14 23:14:42 v1.34.3, nfs: best poly = # norm 6.917031e-11 alpha -6.787094 e 5.712e-10 rroots 5
12/23/14 23:14:42 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 23:22:58 v1.34.3, nfs: commencing lattice sieving with 8 threads
[20 lines snipped]
12/24/14 03:23:57 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/24/14 03:35:00 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/24/14 03:46:13 v1.34.3, nfs: commencing msieve filtering
12/24/14 03:49:43 v1.34.3, nfs: commencing msieve linear algebra
12/24/14 04:05:29 v1.34.3, nfs: commencing msieve sqrt
12/24/14 04:12:02 v1.34.3, prp65 = 26296598462269229965881487605603726185313027318679449093483414947
12/24/14 04:12:02 v1.34.3, prp50 = 92114288049784393188289959049607482664623185679541
12/24/14 04:12:02 v1.34.3, NFS elapsed time = 18678.0353 seconds.
12/24/14 04:12:02 v1.34.3, 
12/24/14 04:12:02 v1.34.3, 
12/24/14 04:12:02 v1.34.3, Total factoring time = 18678.0778 seconds
--
Wed Dec 24 03:46:13 2014  
Wed Dec 24 03:46:13 2014  commencing relation filtering
Wed Dec 24 03:46:13 2014  estimated available RAM is 15987.3 MB
Wed Dec 24 03:46:13 2014  commencing duplicate removal, pass 1
Wed Dec 24 03:47:15 2014  found 1047000 hash collisions in 10325888 relations
Wed Dec 24 03:47:35 2014  added 62809 free relations
Wed Dec 24 03:47:35 2014  commencing duplicate removal, pass 2
Wed Dec 24 03:47:48 2014  found 449467 duplicates and 9939230 unique relations
Wed Dec 24 03:47:48 2014  memory use: 41.3 MB
Wed Dec 24 03:47:48 2014  reading ideals above 100000
Wed Dec 24 03:47:48 2014  commencing singleton removal, initial pass
Wed Dec 24 03:49:14 2014  memory use: 344.5 MB
Wed Dec 24 03:49:14 2014  reading all ideals from disk
Wed Dec 24 03:49:14 2014  memory use: 342.9 MB
Wed Dec 24 03:49:15 2014  keeping 10685298 ideals with weight <= 200, target excess is 55413
Wed Dec 24 03:49:16 2014  commencing in-memory singleton removal
Wed Dec 24 03:49:17 2014  begin with 9939230 relations and 10685298 unique ideals
Wed Dec 24 03:49:24 2014  reduce to 3829719 relations and 3464404 ideals in 16 passes
Wed Dec 24 03:49:24 2014  max relations containing the same ideal: 107
Wed Dec 24 03:49:25 2014  removing 909168 relations and 758650 ideals in 150518 cliques
Wed Dec 24 03:49:26 2014  commencing in-memory singleton removal
Wed Dec 24 03:49:26 2014  begin with 2920551 relations and 3464404 unique ideals
Wed Dec 24 03:49:28 2014  reduce to 2745411 relations and 2521340 ideals in 10 passes
Wed Dec 24 03:49:28 2014  max relations containing the same ideal: 88
Wed Dec 24 03:49:28 2014  removing 690949 relations and 540431 ideals in 150518 cliques
Wed Dec 24 03:49:29 2014  commencing in-memory singleton removal
Wed Dec 24 03:49:29 2014  begin with 2054462 relations and 2521340 unique ideals
Wed Dec 24 03:49:29 2014  reduce to 1908933 relations and 1826949 ideals in 9 passes
Wed Dec 24 03:49:29 2014  max relations containing the same ideal: 68
Wed Dec 24 03:49:30 2014  removing 133522 relations and 115818 ideals in 17704 cliques
Wed Dec 24 03:49:30 2014  commencing in-memory singleton removal
Wed Dec 24 03:49:30 2014  begin with 1775411 relations and 1826949 unique ideals
Wed Dec 24 03:49:30 2014  reduce to 1768746 relations and 1704408 ideals in 7 passes
Wed Dec 24 03:49:30 2014  max relations containing the same ideal: 66
Wed Dec 24 03:49:31 2014  relations with 0 large ideals: 207
Wed Dec 24 03:49:31 2014  relations with 1 large ideals: 1488
Wed Dec 24 03:49:31 2014  relations with 2 large ideals: 14960
Wed Dec 24 03:49:31 2014  relations with 3 large ideals: 83015
Wed Dec 24 03:49:31 2014  relations with 4 large ideals: 258578
Wed Dec 24 03:49:31 2014  relations with 5 large ideals: 470649
Wed Dec 24 03:49:31 2014  relations with 6 large ideals: 499378
Wed Dec 24 03:49:31 2014  relations with 7+ large ideals: 440471
Wed Dec 24 03:49:31 2014  commencing 2-way merge
Wed Dec 24 03:49:31 2014  reduce to 999401 relation sets and 935063 unique ideals
Wed Dec 24 03:49:31 2014  commencing full merge
Wed Dec 24 03:49:40 2014  memory use: 106.6 MB
Wed Dec 24 03:49:40 2014  found 501684 cycles, need 493263
Wed Dec 24 03:49:40 2014  weight of 493263 cycles is about 34865841 (70.68/cycle)
Wed Dec 24 03:49:40 2014  distribution of cycle lengths:
Wed Dec 24 03:49:40 2014  1 relations: 54059
Wed Dec 24 03:49:40 2014  2 relations: 52062
Wed Dec 24 03:49:40 2014  3 relations: 53352
Wed Dec 24 03:49:40 2014  4 relations: 49242
Wed Dec 24 03:49:40 2014  5 relations: 46512
Wed Dec 24 03:49:40 2014  6 relations: 41163
Wed Dec 24 03:49:40 2014  7 relations: 36903
Wed Dec 24 03:49:40 2014  8 relations: 32289
Wed Dec 24 03:49:40 2014  9 relations: 27643
Wed Dec 24 03:49:40 2014  10+ relations: 100038
Wed Dec 24 03:49:40 2014  heaviest cycle: 20 relations
Wed Dec 24 03:49:40 2014  commencing cycle optimization
Wed Dec 24 03:49:40 2014  start with 3006456 relations
Wed Dec 24 03:49:43 2014  pruned 62237 relations
Wed Dec 24 03:49:43 2014  memory use: 101.7 MB
Wed Dec 24 03:49:43 2014  distribution of cycle lengths:
Wed Dec 24 03:49:43 2014  1 relations: 54059
Wed Dec 24 03:49:43 2014  2 relations: 53164
Wed Dec 24 03:49:43 2014  3 relations: 54918
Wed Dec 24 03:49:43 2014  4 relations: 50288
Wed Dec 24 03:49:43 2014  5 relations: 47572
Wed Dec 24 03:49:43 2014  6 relations: 41782
Wed Dec 24 03:49:43 2014  7 relations: 37265
Wed Dec 24 03:49:43 2014  8 relations: 32372
Wed Dec 24 03:49:43 2014  9 relations: 27637
Wed Dec 24 03:49:43 2014  10+ relations: 94206
Wed Dec 24 03:49:43 2014  heaviest cycle: 20 relations
Wed Dec 24 03:49:43 2014  RelProcTime: 210
Wed Dec 24 03:49:43 2014  
Wed Dec 24 03:49:43 2014  commencing linear algebra
Wed Dec 24 03:49:44 2014  read 493263 cycles
Wed Dec 24 03:49:44 2014  cycles contain 1713893 unique relations
Wed Dec 24 03:50:02 2014  read 1713893 relations
Wed Dec 24 03:50:04 2014  using 20 quadratic characters above 134216462
Wed Dec 24 03:50:12 2014  building initial matrix
Wed Dec 24 03:50:32 2014  memory use: 219.9 MB
Wed Dec 24 03:50:32 2014  read 493263 cycles
Wed Dec 24 03:50:32 2014  matrix is 493086 x 493263 (150.7 MB) with weight 48324458 (97.97/col)
Wed Dec 24 03:50:32 2014  sparse part has weight 33574459 (68.07/col)
Wed Dec 24 03:50:35 2014  filtering completed in 2 passes
Wed Dec 24 03:50:35 2014  matrix is 492421 x 492598 (150.6 MB) with weight 48295154 (98.04/col)
Wed Dec 24 03:50:35 2014  sparse part has weight 33565972 (68.14/col)
Wed Dec 24 03:50:37 2014  matrix starts at (0, 0)
Wed Dec 24 03:50:37 2014  matrix is 492421 x 492598 (150.6 MB) with weight 48295154 (98.04/col)
Wed Dec 24 03:50:37 2014  sparse part has weight 33565972 (68.14/col)
Wed Dec 24 03:50:37 2014  saving the first 48 matrix rows for later
Wed Dec 24 03:50:37 2014  matrix includes 64 packed rows
Wed Dec 24 03:50:37 2014  matrix is 492373 x 492598 (144.6 MB) with weight 38345733 (77.84/col)
Wed Dec 24 03:50:37 2014  sparse part has weight 32991808 (66.98/col)
Wed Dec 24 03:50:37 2014  using block size 65536 for processor cache size 8192 kB
Wed Dec 24 03:50:39 2014  commencing Lanczos iteration (8 threads)
Wed Dec 24 03:50:39 2014  memory use: 137.0 MB
Wed Dec 24 03:51:02 2014  linear algebra at 2.5%, ETA 0h15m
Wed Dec 24 04:05:28 2014  lanczos halted after 7789 iterations (dim = 492373)
Wed Dec 24 04:05:29 2014  recovered 32 nontrivial dependencies
Wed Dec 24 04:05:29 2014  BLanczosTime: 946
Wed Dec 24 04:05:29 2014  
Wed Dec 24 04:05:29 2014  commencing square root phase
Wed Dec 24 04:05:29 2014  reading relations for dependency 1
Wed Dec 24 04:05:29 2014  read 245754 cycles
Wed Dec 24 04:05:29 2014  cycles contain 856190 unique relations
Wed Dec 24 04:05:44 2014  read 856190 relations
Wed Dec 24 04:05:48 2014  multiplying 856190 relations
Wed Dec 24 04:06:36 2014  multiply complete, coefficients have about 33.75 million bits
Wed Dec 24 04:06:37 2014  initial square root is modulo 70121
Wed Dec 24 04:07:37 2014  GCD is 1, no factor found
Wed Dec 24 04:07:37 2014  reading relations for dependency 2
Wed Dec 24 04:07:37 2014  read 246251 cycles
Wed Dec 24 04:07:37 2014  cycles contain 856896 unique relations
Wed Dec 24 04:07:50 2014  read 856896 relations
Wed Dec 24 04:07:54 2014  multiplying 856896 relations
Wed Dec 24 04:08:44 2014  multiply complete, coefficients have about 33.77 million bits
Wed Dec 24 04:08:44 2014  initial square root is modulo 70709
Wed Dec 24 04:09:48 2014  GCD is N, no factor found
Wed Dec 24 04:09:48 2014  reading relations for dependency 3
Wed Dec 24 04:09:48 2014  read 245476 cycles
Wed Dec 24 04:09:48 2014  cycles contain 855032 unique relations
Wed Dec 24 04:10:03 2014  read 855032 relations
Wed Dec 24 04:10:07 2014  multiplying 855032 relations
Wed Dec 24 04:10:56 2014  multiply complete, coefficients have about 33.70 million bits
Wed Dec 24 04:10:56 2014  initial square root is modulo 69061
Wed Dec 24 04:12:02 2014  sqrtTime: 393
--
n: 2422292445482985179975629987204477027682044722592276180809860829435257189885206707452057345000894957186559471499327
skew: 370030.37
c0: 410743720315138560184482848928
c1: 9712145175138054297987348
c2: -25736702015143917402
c3: -142560130570237
c4: 186672980
c5: 420
Y0: -22500659244815869344211
Y1: 124851915331
rlim: 4500000
alim: 4500000
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 21:23:37 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 37 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:50 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 50 秒 (日本時間)

112×10194-13

c184

name 名前Serge Batalov
date 日付December 21, 2014 02:00:00 UTC 2014 年 12 月 21 日 (日) 11 時 0 分 0 秒 (日本時間)
composite number 合成数
4944095184529763255785394300531980546776134818531901735275874343884546188780294137885967326392733784754757019044152501574045945643763548601433079982803830184123961981182832360234238871<184>
prime factors 素因数
65086403211519736883509784029<29>
composite cofactor 合成数の残り
75962028020849378873764712643342883220044123204476708113338751403487324720775142958656487299266106188913897645299891219093691987815475409736918098387780099<155>
factorization results 素因数分解の結果
Input number is 4944095184529763255785394300531980546776134818531901735275874343884546188780294137885967326392733784754757019044152501574045945643763548601433079982803830184123961981182832360234238871 (184 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2484848495
Step 1 took 13624ms
Step 2 took 9416ms
********** Factor found in step 2: 65086403211519736883509784029
Found probable prime factor of 29 digits: 65086403211519736883509784029
Composite cofactor 75962028020849378873764712643342883220044123204476708113338751403487324720775142958656487299266106188913897645299891219093691987815475409736918098387780099 has 155 digits

c155

name 名前Jo Yeong Uk
date 日付February 18, 2017 02:29:10 UTC 2017 年 2 月 18 日 (土) 11 時 29 分 10 秒 (日本時間)
composite number 合成数
75962028020849378873764712643342883220044123204476708113338751403487324720775142958656487299266106188913897645299891219093691987815475409736918098387780099<155>
prime factors 素因数
121326690044678393780302788423732018514612883911<48>
26079522503022597930111696423579291598796241987399119<53>
24007147777225876115359418355800435373834381982560422411<56>
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 75962028020849378873764712643342883220044123204476708113338751403487324720775142958656487299266106188913897645299891219093691987815475409736918098387780099 (155 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4664949996
Step 1 took 31233ms
Step 2 took 9871ms
********** Factor found in step 2: 121326690044678393780302788423732018514612883911
Found probable prime factor of 48 digits: 121326690044678393780302788423732018514612883911
Composite cofactor 626094950689551178912057093432787949213489682871272436516885550358159050652973261167703517568591503889255909 has 108 digits

Number: 37333_194
N=626094950689551178912057093432787949213489682871272436516885550358159050652973261167703517568591503889255909
  ( 108 digits)
Divisors found:
 r1=26079522503022597930111696423579291598796241987399119
 r2=24007147777225876115359418355800435373834381982560422411
Version: 
Total time: 3.76 hours.
Scaled time: 19.76 units (timescale=5.253).
Factorization parameters were as follows:
name: 37333_194
n: 626094950689551178912057093432787949213489682871272436516885550358159050652973261167703517568591503889255909
skew: 10274.76
# norm 5.68e+14
c5: 223380
c4: 2899563874
c3: -62289974122744
c2: -264772922696032508
c1: 2931355048792632120837
c0: 8221824819514865355044171
# alpha -6.19
Y1: 308071778579
Y0: -308686799350648735092
# Murphy_E 1.45e-09
# M 610003814600458772889423900078131362908660118666596503487700288383869560448616788011410839551825823417998770
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [900000, 1750001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 8282435
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 325005 x 325253
Polynomial selection time: 0.53 hours.
Total sieving time: 2.78 hours.
Total relation processing time: 0.31 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,107,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,27,27,52,52,2.6,2.6,50000
total time: 3.76 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)
403e6300Serge BatalovDecember 20, 2014 21:23:37 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 37 秒 (日本時間)
4511e6585 / 4409CypJune 1, 2015 06:21:21 UTC 2015 年 6 月 1 日 (月) 15 時 21 分 21 秒 (日本時間)

112×10198-13

c193

name 名前Jo Yeong Uk
date 日付June 5, 2017 13:37:17 UTC 2017 年 6 月 5 日 (月) 22 時 37 分 17 秒 (日本時間)
composite number 合成数
1218917587904445698260803764487665375691459570119763332784493922993858364018223209734110432475116314394586325544743792828152286034770864878947716282260871414413794072427713044728692398212844799<193>
prime factors 素因数
18635096942168831534824247645086467132643<41>
224950945691771720708290037853494571206618743775982267701327<60>
290773526728088146122599334528580469567901518098066890182248006832412505118654003831350502459<93>
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 1218917587904445698260803764487665375691459570119763332784493922993858364018223209734110432475116314394586325544743792828152286034770864878947716282260871414413794072427713044728692398212844799 (193 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4406951025
Step 1 took 34288ms
Step 2 took 11405ms
********** Factor found in step 2: 224950945691771720708290037853494571206618743775982267701327
Found probable prime factor of 60 digits: 224950945691771720708290037853494571206618743775982267701327
Composite cofactor 5418592858794242418119462533220993080660203935074361491841048341533247329926885413426456109449264753579421943130305873152947050669137 has 133 digits

GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 5418592858794242418119462533220993080660203935074361491841048341533247329926885413426456109449264753579421943130305873152947050669137 (133 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=636323130
Step 1 took 19887ms
Step 2 took 7762ms
********** Factor found in step 2: 18635096942168831534824247645086467132643
Found probable prime factor of 41 digits: 18635096942168831534824247645086467132643
Probable prime cofactor 290773526728088146122599334528580469567901518098066890182248006832412505118654003831350502459 has 93 digits
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:38 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 38 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:51 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 51 秒 (日本時間)
4511e6498 / 4342CypJuly 24, 2015 20:29:27 UTC 2015 年 7 月 25 日 (土) 5 時 29 分 27 秒 (日本時間)

112×10202-13

c157

name 名前Jo Yeong Uk
date 日付March 21, 2021 10:29:42 UTC 2021 年 3 月 21 日 (日) 19 時 29 分 42 秒 (日本時間)
composite number 合成数
1577594066070429841208029668963583130744755591830493967524758573182822436174694230204858350825196323356969742287055645266798332101602646725413642340238645693<157>
prime factors 素因数
205245517823575694535978702179020350282308762247199602703501638116071<69>
7686375238783500520806791053305346948450906754883889643247931217986814669900071695805883<88>
factorization results 素因数分解の結果
Number: 37333_202
N=1577594066070429841208029668963583130744755591830493967524758573182822436174694230204858350825196323356969742287055645266798332101602646725413642340238645693
  ( 157 digits)
SNFS difficulty: 204 digits.
Divisors found:
 r1=205245517823575694535978702179020350282308762247199602703501638116071
 r2=7686375238783500520806791053305346948450906754883889643247931217986814669900071695805883
Version: 
Total time: 333.87 hours.
Scaled time: 1754.15 units (timescale=5.254).
Factorization parameters were as follows:
n: 1577594066070429841208029668963583130744755591830493967524758573182822436174694230204858350825196323356969742287055645266798332101602646725413642340238645693
m: 20000000000000000000000000000000000000000
deg: 5
c5: 350
c0: -1
skew: 0.31
# Murphy_E = 9.521e-12
type: snfs
lss: 1
rlim: 18000000
alim: 18000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18000000/18000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [9000000, 21000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 40088484
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3622518 x 3622765
Total sieving time: 294.38 hours.
Total relation processing time: 12.81 hours.
Matrix solve time: 26.03 hours.
Time per square root: 0.65 hours.
Prototype def-par.txt line would be:
snfs,204,5,0,0,0,0,0,0,0,0,18000000,18000000,29,29,56,56,2.6,2.6,100000
total time: 333.87 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:38 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 38 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:51 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 51 秒 (日本時間)
4511e6498 / 4342CypFebruary 4, 2015 03:29:13 UTC 2015 年 2 月 4 日 (水) 12 時 29 分 13 秒 (日本時間)

112×10203-13

c205

name 名前Robert Backstrom
date 日付January 6, 2015 13:04:26 UTC 2015 年 1 月 6 日 (火) 22 時 4 分 26 秒 (日本時間)
composite number 合成数
3733333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<205>
prime factors 素因数
315125558416354956731845869018716652388532999446029532066796808457<66>
74754495774830285395786420346392773462685643799137503497096492214747<68>
158480496525934534356519004745545594999628362547958061903983089187763927<72>
factorization results 素因数分解の結果
Number: n
N=3733333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
  ( 205 digits)
SNFS difficulty: 205 digits.
Divisors found:

Tue Jan  6 23:58:52 2015  prp66 factor: 315125558416354956731845869018716652388532999446029532066796808457
Tue Jan  6 23:58:52 2015  prp68 factor: 74754495774830285395786420346392773462685643799137503497096492214747
Tue Jan  6 23:58:52 2015  prp72 factor: 158480496525934534356519004745545594999628362547958061903983089187763927
Tue Jan  6 23:58:52 2015  elapsed time 05:13:16 (Msieve 1.44 - dependency 3)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.300).
Factorization parameters were as follows:
#
#  N = 112*10^203-1 373(203)
#
n: 3733333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
m: 20000000000000000000000000000000000000000
deg: 5
c5: 3500
c0: -1
skew: 0.20
# Murphy_E = 8.661e-12
type: snfs
lss: 1
rlim: 18300000
alim: 18300000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18300000/18300000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 42750000)
Primes: RFBsize:1169267, AFBsize:1169157,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 12979501 hash collisions in 74360832 relations (63858764 unique)
Msieve: matrix is 2145390 x 2145617 (604.5 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 4hrs 32min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 17min 42sec.

Prototype def-par.txt line would be:
snfs,205,5,0,0,0,0,0,0,0,0,18300000,18300000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.038918] smpboot: CPU0: Intel(R) Core(TM) i7-4790 CPU @ 3.60GHz (fam: 06, model: 3c, stepping: 03)
[    0.000000] Memory: 16059668K/16661464K available (7375K kernel code, 1160K rwdata, 3228K rodata, 1468K init, 1504K bss, 601796K reserved)
[    1.117641] [drm] Memory usable by graphics device = 2048M
[    0.000027] Calibrating delay loop (skipped), value calculated using timer frequency.. 7200.23 BogoMIPS (lpj=3600117)
[    0.136797] smpboot: Total of 8 processors activated (57601.87 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:28 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 28 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:49 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 49 秒 (日本時間)
4511e62000 / 3916Serge BatalovDecember 20, 2014 04:01:56 UTC 2014 年 12 月 20 日 (土) 13 時 1 分 56 秒 (日本時間)

112×10204-13

c178

name 名前Serge Batalov
date 日付December 21, 2014 02:00:03 UTC 2014 年 12 月 21 日 (日) 11 時 0 分 3 秒 (日本時間)
composite number 合成数
9337262192798038716313771367252291507498421988682573280871180346119324662676536291502173705245671107094687479643190194366278679333828896570320701623291212054395068736745623611413<178>
prime factors 素因数
1045269154602030639356378475761<31>
composite cofactor 合成数の残り
8932878342088885803601598755682698211265529160212179700832287244828540086920832781150635444494972686017006572593384190050072852107464984025339903333<148>
factorization results 素因数分解の結果
Input number is 9337262192798038716313771367252291507498421988682573280871180346119324662676536291502173705245671107094687479643190194366278679333828896570320701623291212054395068736745623611413 (178 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1617728348
Step 1 took 13702ms
Step 2 took 9168ms
********** Factor found in step 2: 1045269154602030639356378475761
Found probable prime factor of 31 digits: 1045269154602030639356378475761
Composite cofactor 8932878342088885803601598755682698211265529160212179700832287244828540086920832781150635444494972686017006572593384190050072852107464984025339903333 has 148 digits

c148

name 名前Jo Yeong Uk
date 日付November 13, 2020 13:25:34 UTC 2020 年 11 月 13 日 (金) 22 時 25 分 34 秒 (日本時間)
composite number 合成数
8932878342088885803601598755682698211265529160212179700832287244828540086920832781150635444494972686017006572593384190050072852107464984025339903333<148>
prime factors 素因数
19369258379954103687837259213592121249990457<44>
461188454759518399944391348913694712925809531961970580553832201275984761792135985328801289453321239747469<105>
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 8932878342088885803601598755682698211265529160212179700832287244828540086920832781150635444494972686017006572593384190050072852107464984025339903333 (148 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2790509558
Step 1 took 24425ms
Step 2 took 8984ms
********** Factor found in step 2: 19369258379954103687837259213592121249990457
Found probable prime factor of 44 digits: 19369258379954103687837259213592121249990457
Probable prime cofactor 461188454759518399944391348913694712925809531961970580553832201275984761792135985328801289453321239747469 has 105 digits
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 20, 2014 21:23:38 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 38 秒 (日本時間)
4511e6585 / 4409CypJune 13, 2015 07:41:47 UTC 2015 年 6 月 13 日 (土) 16 時 41 分 47 秒 (日本時間)

112×10205-13

c152

name 名前Jo Yeong Uk
date 日付May 14, 2021 12:03:57 UTC 2021 年 5 月 14 日 (金) 21 時 3 分 57 秒 (日本時間)
composite number 合成数
10111050848435832412066189296733326711278361681791539882869485651564278962336810731779912405154835464000375738379146795498093548299844980922213171076893<152>
prime factors 素因数
42292120382261694091464355535574832618977476599136743244261<59>
239076469967598124304126393751574206281725414010912204470316418103698361661812403967465911513<93>
factorization results 素因数分解の結果
Number: 37333_205
N=10111050848435832412066189296733326711278361681791539882869485651564278962336810731779912405154835464000375738379146795498093548299844980922213171076893
  ( 152 digits)
SNFS difficulty: 207 digits.
Divisors found:
 r1=42292120382261694091464355535574832618977476599136743244261
 r2=239076469967598124304126393751574206281725414010912204470316418103698361661812403967465911513
Version: 
Total time: 328.41 hours.
Scaled time: 1723.17 units (timescale=5.247).
Factorization parameters were as follows:
n: 10111050848435832412066189296733326711278361681791539882869485651564278962336810731779912405154835464000375738379146795498093548299844980922213171076893
m: 200000000000000000000000000000000000000000
deg: 5
c5: 7
c0: -2
skew: 0.78
# Murphy_E = 9.258e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [10000000, 21400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 39891363
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3625281 x 3625528
Total sieving time: 289.91 hours.
Total relation processing time: 12.14 hours.
Matrix solve time: 26.12 hours.
Time per square root: 0.24 hours.
Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,20000000,20000000,29,29,56,56,2.6,2.6,100000
total time: 328.41 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:39 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 39 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:51 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 51 秒 (日本時間)
4511e6498 / 4342CypJune 3, 2015 17:35:46 UTC 2015 年 6 月 4 日 (木) 2 時 35 分 46 秒 (日本時間)

112×10206-13

c174

composite cofactor 合成数の残り
365870461328630808190614171957043999718001332268206064196320790653086558155177342150848020865791005260745628720054105267514113156540486074618567527616420590645410846293499261<174>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:39 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 39 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:52 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 52 秒 (日本時間)
4511e6498 / 4342CypJuly 24, 2015 15:50:17 UTC 2015 年 7 月 25 日 (土) 0 時 50 分 17 秒 (日本時間)

112×10207-13

c201

name 名前Bob Backstrom
date 日付September 23, 2020 21:18:17 UTC 2020 年 9 月 24 日 (木) 6 時 18 分 17 秒 (日本時間)
composite number 合成数
745449958153966924931132570707409447115274058653613411927986046401451146134968094442279866314465522330429386430722170554331298208356950619005338533219516436329618190448580302867931685927529471613688237<201>
prime factors 素因数
700134765806953459044114521068649552447962617028487084857847<60>
1064723528326413830946501678483350562107031769887579950181987546271354870637508223722991357854389012189552176131629036688500651168416025141371<142>
factorization results 素因数分解の結果
Number: n
N=745449958153966924931132570707409447115274058653613411927986046401451146134968094442279866314465522330429386430722170554331298208356950619005338533219516436329618190448580302867931685927529471613688237  ( 201 digits)
SNFS difficulty: 209 digits.
Divisors found:

Thu Sep 24 06:35:47 2020  p60 factor: 700134765806953459044114521068649552447962617028487084857847
Thu Sep 24 06:35:47 2020  p142 factor: 1064723528326413830946501678483350562107031769887579950181987546271354870637508223722991357854389012189552176131629036688500651168416025141371
Thu Sep 24 06:35:47 2020  elapsed time 03:32:26 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.124).
Factorization parameters were as follows:
#
# N = 336x10^207-3 = 373(207)
#
n: 745449958153966924931132570707409447115274058653613411927986046401451146134968094442279866314465522330429386430722170554331298208356950619005338533219516436329618190448580302867931685927529471613688237
m: 200000000000000000000000000000000000000000
deg: 5
c5: 350
c0: -1
skew: 1.04
# Murphy_E = 6.376e-12
type: snfs
lss: 1
rlim: 19700000
alim: 19700000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19700000/19700000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8327143 hash collisions in 52531935 relations (45797370 unique)
Msieve: matrix is 2807693 x 2807918 (982.1 MB)

Sieving start time: 2020/09/23 12:05:49
Sieving end time  : 2020/09/24 03:02:32

Total sieving time: 14hrs 56min 43secs.

Total relation processing time: 3hrs 3min 21sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 13min 56sec.

Prototype def-par.txt line would be:
snfs,209,5,0,0,0,0,0,0,0,0,19700000,19700000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.142177] 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)
[    0.176722] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.55 BogoMIPS (lpj=11977104)
[    0.174223] smpboot: Total of 16 processors activated (95816.83 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)
403e6600300Serge BatalovDecember 20, 2014 21:23:40 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 40 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:52 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 52 秒 (日本時間)
4511e6498 / 4342CypJuly 1, 2015 18:20:46 UTC 2015 年 7 月 2 日 (木) 3 時 20 分 46 秒 (日本時間)

112×10209-13

c186

name 名前Jo Yeong Uk
date 日付October 7, 2020 05:57:01 UTC 2020 年 10 月 7 日 (水) 14 時 57 分 1 秒 (日本時間)
composite number 合成数
187832859929172316749322008694147977039326479910741579744652778708138589082257482810088901457971185178141749680446603667157235435568085913570189925248255926661922877553918313625318255797<186>
prime factors 素因数
1807671817268976232202441034475177311797887<43>
composite cofactor 合成数の残り
103908717353877593513694535167662566731276916584301343040095297217863087292151454131376712878505182846286613151404470474045431577264065061129931<144>
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 187832859929172316749322008694147977039326479910741579744652778708138589082257482810088901457971185178141749680446603667157235435568085913570189925248255926661922877553918313625318255797 (186 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2757873934
Step 1 took 34488ms
Step 2 took 11442ms
********** Factor found in step 2: 1807671817268976232202441034475177311797887
Found probable prime factor of 43 digits: 1807671817268976232202441034475177311797887
Composite cofactor 103908717353877593513694535167662566731276916584301343040095297217863087292151454131376712878505182846286613151404470474045431577264065061129931 has 144 digits
execution environment 実行環境
Core i7-4930K

c144

name 名前Jo Yeong Uk
date 日付October 9, 2020 13:38:03 UTC 2020 年 10 月 9 日 (金) 22 時 38 分 3 秒 (日本時間)
composite number 合成数
103908717353877593513694535167662566731276916584301343040095297217863087292151454131376712878505182846286613151404470474045431577264065061129931<144>
prime factors 素因数
8974038383315197659467239189815105816121<40>
11578813563698123819247025800092490596459880887580612770947702813810680932796732610340644153409101880611<104>
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 103908717353877593513694535167662566731276916584301343040095297217863087292151454131376712878505182846286613151404470474045431577264065061129931 (144 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=371241037
Step 1 took 24719ms
Step 2 took 8600ms
********** Factor found in step 2: 8974038383315197659467239189815105816121
Found probable prime factor of 40 digits: 8974038383315197659467239189815105816121
Probable prime cofactor 11578813563698123819247025800092490596459880887580612770947702813810680932796732610340644153409101880611 has 104 digits
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:40 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 40 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:53 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 53 秒 (日本時間)
4511e6498 / 4342CypJuly 24, 2015 15:34:13 UTC 2015 年 7 月 25 日 (土) 0 時 34 分 13 秒 (日本時間)

112×10213-13

c193

composite cofactor 合成数の残り
2280641084936064047877670535116652148983557509835557175169988070005122753613367895088657798662843445306212711070709503383857325478588131325641868504908151986496534249045086153277651565320130463<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:41 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 41 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:53 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 53 秒 (日本時間)
4511e6498 / 4342242CypJanuary 7, 2015 23:20:35 UTC 2015 年 1 月 8 日 (木) 8 時 20 分 35 秒 (日本時間)
256CypMay 29, 2015 14:00:45 UTC 2015 年 5 月 29 日 (金) 23 時 0 分 45 秒 (日本時間)

112×10214-13

c206

name 名前Bob Backstrom
date 日付January 26, 2020 15:36:53 UTC 2020 年 1 月 27 日 (月) 0 時 36 分 53 秒 (日本時間)
composite number 合成数
60856283951903861058738170502116059034012731034515885573977316534022872978748325516322197003995771387416938071035964840006572102661908342731202180924817932015737200515925252383125110968683027926096771889323<206>
prime factors 素因数
7575362653388313530734114573955777625401518037646794780529018708575460601480482510772366586507<94>
8033448263322947266381835075675600296496214213454266958556850194231540122097476720585410791522828877105252398689<112>
factorization results 素因数分解の結果
Number: n
N=60856283951903861058738170502116059034012731034515885573977316534022872978748325516322197003995771387416938071035964840006572102661908342731202180924817932015737200515925252383125110968683027926096771889323
  ( 206 digits)
SNFS difficulty: 216 digits.
Divisors found:

Mon Jan 27 01:02:57 2020  p94 factor: 7575362653388313530734114573955777625401518037646794780529018708575460601480482510772366586507
Mon Jan 27 01:02:57 2020  p112 factor: 8033448263322947266381835075675600296496214213454266958556850194231540122097476720585410791522828877105252398689
Mon Jan 27 01:02:57 2020  elapsed time 05:17:38 (Msieve 1.54 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.134).
Factorization parameters were as follows:
#
# N = 112x10^214-1 = 373(214)
#
n: 60856283951903861058738170502116059034012731034515885573977316534022872978748325516322197003995771387416938071035964840006572102661908342731202180924817932015737200515925252383125110968683027926096771889323
m: 10000000000000000000000000000000000000000000
deg: 5
c5: 56
c0: -5
skew: 0.62
# Murphy_E = 3.834e-12
type: snfs
lss: 1
rlim: 29000000
alim: 29000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 29000000/29000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 54500000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8415360 hash collisions in 58884562 relations (52671647 unique)
Msieve: matrix is 3391279 x 3391504 (1195.3 MB)

Sieving start time: 2020/01/25 19:11:14
Sieving end time  : 2020/01/26 19:43:47

Total sieving time: 24hrs 32min 33secs.

Total relation processing time: 4hrs 48min 55sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 10min 29sec.

Prototype def-par.txt line would be:
snfs,216,5,0,0,0,0,0,0,0,0,29000000,29000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149937] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283572K/16703460K available (12300K kernel code, 2481K rwdata, 4264K rodata, 2428K init, 2388K bss, 419888K reserved, 0K cma-reserved)
[    0.184567] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.57 BogoMIPS (lpj=11977148)
[    0.182215] smpboot: Total of 16 processors activated (95817.18 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:41 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 41 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:53 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 53 秒 (日本時間)
4511e6498 / 4342CypFebruary 8, 2015 10:02:32 UTC 2015 年 2 月 8 日 (日) 19 時 2 分 32 秒 (日本時間)

112×10215-13

c167

name 名前Cyp
date 日付January 23, 2015 16:03:35 UTC 2015 年 1 月 24 日 (土) 1 時 3 分 35 秒 (日本時間)
composite number 合成数
76964537061923896467391971489851735851800938313264573458475012613090656948016368976981947385535998492692053598950483805258139202167096132753802867459707184859615362729<167>
prime factors 素因数
200270672002671656964826261013885447903<39>
composite cofactor 合成数の残り
384302585557296036776104099097484861464246257080625825364451962184771679151577055946391579446959509868520584243733217278833044343<129>
factorization results 素因数分解の結果
Run 479 out of 498:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=9770807
Step 1 took 50224ms
Step 2 took 17171ms
********** Factor found in step 2: 200270672002671656964826261013885447903
Found probable prime factor of 39 digits: 200270672002671656964826261013885447903
Composite cofactor 384302585557296036776104099097484861464246257080625825364451962184771679151577055946391579446959509868520584243733217278833044343 has 129 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

c129

name 名前Erik Branger
date 日付February 20, 2015 07:14:20 UTC 2015 年 2 月 20 日 (金) 16 時 14 分 20 秒 (日本時間)
composite number 合成数
384302585557296036776104099097484861464246257080625825364451962184771679151577055946391579446959509868520584243733217278833044343<129>
prime factors 素因数
90037663632444985684331650040352277532797390555641348762323137<62>
4268242533770200683780009686500541777980939681273784696081804266039<67>
factorization results 素因数分解の結果
Number: 37333_215
N = 384302585557296036776104099097484861464246257080625825364451962184771679151577055946391579446959509868520584243733217278833044343 (129 digits)
Divisors found:
r1=90037663632444985684331650040352277532797390555641348762323137 (pp62)
r2=4268242533770200683780009686500541777980939681273784696081804266039 (pp67)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 45.17 hours.
Factorization parameters were as follows:
# Murphy_E = 8.173e-11, selected by Maksym Voznyy
# sieved all c5<1392
n: 384302585557296036776104099097484861464246257080625825364451962184771679151577055946391579446959509868520584243733217278833044343
Y0: -12382814203672952516848539
Y1: 9353084360269
c0: -390330410034109925381316268302260
c1: -516803369879033040054881986
c2: -6942359449988250897130
c3: -13147333906866353
c4: 10429667646
c5: 1320
skew: 1150376.44
type: gnfs
# selected mechanically
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 17108709
Relations: 2391894 relations
Pruned matrix : 1380622 x 1380870
Polynomial selection time: 0.00 hours.
Total sieving time: 43.85 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.18 hours.
time per square root: 0.06 hours.
Prototype def-par.txt line would be: gnfs,128,5,65,2000,1e-05,0.28,250,20,50000,3600,9000000,9000000,28,28,53,53,2.5,2.5,100000
total time: 45.17 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:42 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 42 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:54 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 54 秒 (日本時間)
4511e6498 / 4342CypJanuary 23, 2015 16:03:35 UTC 2015 年 1 月 24 日 (土) 1 時 3 分 35 秒 (日本時間)

112×10216-13

c194

composite cofactor 合成数の残り
25509658337552786708931769607291697138708051195307370380092200193878152708300979554950942897348719713001653175531977352368121046588206872720727024883330085397672936952378812546831431239255462097<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:42 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 42 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:54 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 54 秒 (日本時間)
4511e6498 / 4342242CypJanuary 6, 2015 20:56:20 UTC 2015 年 1 月 7 日 (水) 5 時 56 分 20 秒 (日本時間)
256CypJuly 24, 2015 10:15:57 UTC 2015 年 7 月 24 日 (金) 19 時 15 分 57 秒 (日本時間)

112×10217-13

c179

name 名前Serge Batalov
date 日付December 21, 2014 02:00:07 UTC 2014 年 12 月 21 日 (日) 11 時 0 分 7 秒 (日本時間)
composite number 合成数
26243020234326247132000422831709159392095967738980287249137490496318400619754446182634504512447151796400186660404855271585504350785585731570297486212399388068277887706259879443449<179>
prime factors 素因数
88977510938098651342909662624369976187749<41>
composite cofactor 合成数の残り
294939923106900867851159696228428738286979786719296178123265180330833759979714688220823121297854254210732304499860010891781950093095319301<138>
factorization results 素因数分解の結果
Input number is 26243020234326247132000422831709159392095967738980287249137490496318400619754446182634504512447151796400186660404855271585504350785585731570297486212399388068277887706259879443449 (179 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=891794759
Step 1 took 13638ms
Step 2 took 9156ms
********** Factor found in step 2: 88977510938098651342909662624369976187749
Found probable prime factor of 41 digits: 88977510938098651342909662624369976187749
Composite cofactor 294939923106900867851159696228428738286979786719296178123265180330833759979714688220823121297854254210732304499860010891781950093095319301 has 138 digits

c138

name 名前Erik Branger
date 日付April 21, 2015 06:38:29 UTC 2015 年 4 月 21 日 (火) 15 時 38 分 29 秒 (日本時間)
composite number 合成数
294939923106900867851159696228428738286979786719296178123265180330833759979714688220823121297854254210732304499860010891781950093095319301<138>
prime factors 素因数
858684642724033955704353583674156071036455867630030506433077410461<66>
343478744619506766121866608993460723881335241027304522872445118230146441<72>
factorization results 素因数分解の結果
Number: 37333_217
N = 294939923106900867851159696228428738286979786719296178123265180330833759979714688220823121297854254210732304499860010891781950093095319301 (138 digits)
Divisors found:
r1=858684642724033955704353583674156071036455867630030506433077410461 (pp66)
r2=343478744619506766121866608993460723881335241027304522872445118230146441 (pp72)
Version: Msieve v. 1.52 (SVN 958)
Total time: 112.59 hours.
Factorization parameters were as follows:
# Murphy_E = 2.994e-11, selected by Erik Branger
# expecting poly E from 2.93e-011 to > 3.36e-011
n: 294939923106900867851159696228428738286979786719296178123265180330833759979714688220823121297854254210732304499860010891781950093095319301
Y0: -755284903491078098295111217
Y1: 165009309188453
c0: 6576458547437891210725498717399802160
c1: 4174151083836178366101541311678
c2: 823421851110278492099791
c3: -90008620231732994
c4: -21554159570
c5: 1200
skew: 7738324.77
type: gnfs
# selected mechanically
rlim: 15600000
alim: 15600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 15600000/15600000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 22966866
Relations: 3769922 relations
Pruned matrix : 2249450 x 2249677
Polynomial selection time: 0.00 hours.
Total sieving time: 110.09 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.99 hours.
time per square root: 0.41 hours.
Prototype def-par.txt line would be: gnfs,137,5,65,2000,1e-05,0.28,250,20,50000,3600,15600000,15600000,28,28,55,55,2.6,2.6,100000
total time: 112.59 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)
403e62950300Serge BatalovDecember 20, 2014 21:23:43 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 43 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:54 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 54 秒 (日本時間)
2350Ignacio SantosFebruary 6, 2015 20:53:08 UTC 2015 年 2 月 7 日 (土) 5 時 53 分 8 秒 (日本時間)

112×10218-13

c183

name 名前Erik Branger
date 日付January 6, 2020 15:31:30 UTC 2020 年 1 月 7 日 (火) 0 時 31 分 30 秒 (日本時間)
composite number 合成数
496490482138627781634444094704721556890807636994128541933187262192671614050901205464361290996202730740730240757198867385690036637420160622161618728993343919087849785046887285305734047<183>
prime factors 素因数
1330333475950775456485895286804520014197118791950446282579919<61>
13726192912060175987403314985253479573398861052841409434814639<62>
27189442916730944446847038719700738872151373195750682665703967<62>
factorization results 素因数分解の結果
Number: 37333_218
N = 496490482138627781634444094704721556890807636994128541933187262192671614050901205464361290996202730740730240757198867385690036637420160622161618728993343919087849785046887285305734047 (183 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=1330333475950775456485895286804520014197118791950446282579919 (pp61)
r2=13726192912060175987403314985253479573398861052841409434814639 (pp62)
r3=27189442916730944446847038719700738872151373195750682665703967 (pp62)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 80.47 hours.
Factorization parameters were as follows:
n: 496490482138627781634444094704721556890807636994128541933187262192671614050901205464361290996202730740730240757198867385690036637420160622161618728993343919087849785046887285305734047
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 28
c0: -25
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: 7806376 relations
Pruned matrix : 6832819 x 6833044
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 40.06 hours.
Total relation processing time: 0.42 hours.
Matrix solve time: 39.57 hours.
time per square root: 0.42 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: 80.47 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)
403e6600300Serge BatalovDecember 20, 2014 21:23:43 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 43 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:55 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 55 秒 (日本時間)
4511e6498 / 4342CypJune 5, 2015 15:17:55 UTC 2015 年 6 月 6 日 (土) 0 時 17 分 55 秒 (日本時間)

112×10219-13

c217

name 名前Bob Backstrom
date 日付June 20, 2019 10:21:18 UTC 2019 年 6 月 20 日 (木) 19 時 21 分 18 秒 (日本時間)
composite number 合成数
5636921838039156474910664854798933011223514016810106195581055916251446977703960944184407871558709547536363178821279379938597815692787759826865972117368765413458150888318486083849212340832452564296139715134128541949771<217>
prime factors 素因数
10725789324570865324685649048757731229358319563452347112151688967001<68>
13386602260530127370540155120355251359814852612386791532029298845010874013<74>
39259285433947064046578858956018898569521475185809956030225230501677119510367<77>
factorization results 素因数分解の結果
Number: n
N=5636921838039156474910664854798933011223514016810106195581055916251446977703960944184407871558709547536363178821279379938597815692787759826865972117368765413458150888318486083849212340832452564296139715134128541949771
  ( 217 digits)
SNFS difficulty: 221 digits.
Divisors found:

Thu Jun 20 20:03:32 2019  found factor: 39259285433947064046578858956018898569521475185809956030225230501677119510367
Thu Jun 20 20:08:56 2019  p68 factor: 10725789324570865324685649048757731229358319563452347112151688967001
Thu Jun 20 20:08:56 2019  p74 factor: 13386602260530127370540155120355251359814852612386791532029298845010874013
Thu Jun 20 20:08:56 2019  p77 factor: 39259285433947064046578858956018898569521475185809956030225230501677119510367
Thu Jun 20 20:08:56 2019  elapsed time 06:41:37 (Msieve 1.54 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.125).
Factorization parameters were as follows:
#
# N = 112x10^219-1 = 373(219)
#
n: 5636921838039156474910664854798933011223514016810106195581055916251446977703960944184407871558709547536363178821279379938597815692787759826865972117368765413458150888318486083849212340832452564296139715134128541949771
m: 100000000000000000000000000000000000000000000
deg: 5
c5: 56
c0: -5
skew: 0.62
# Murphy_E = 2.332e-12
type: snfs
lss: 1
rlim: 35000000
alim: 35000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 35000000/35000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 57500000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 12245607 hash collisions in 72890360 relations (61594797 unique)
Msieve: matrix is 3792898 x 3793123 (1326.6 MB)

Sieving start time: 2019/06/19 11:51:53
Sieving end time  : 2019/06/20 13:24:37

Total sieving time: 25hrs 32min 44secs.

Total relation processing time: 6hrs 9min 26sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 10min 48sec.

Prototype def-par.txt line would be:
snfs,221,5,0,0,0,0,0,0,0,0,35000000,35000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.044000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16284004K/16703460K available (12300K kernel code, 2473K rwdata, 4272K rodata, 2408K init, 2416K bss, 419456K reserved, 0K cma-reserved)
[    0.076563] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.40 BogoMIPS (lpj=11976816)
[    0.074214] smpboot: Total of 16 processors activated (95814.52 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 18:02:39 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 39 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:56 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 56 秒 (日本時間)

112×10220-13

c218

name 名前Bob Backstrom
date 日付October 14, 2017 12:48:55 UTC 2017 年 10 月 14 日 (土) 21 時 48 分 55 秒 (日本時間)
composite number 合成数
63806756679769839913405115934598074403235914088759756167036973736683188059021249928787101919899732239503218822993220532102774454509200706431948954594656184128069275907252321540477411268728992195066370421010653449552783<218>
prime factors 素因数
1529324255005656748059821670638437290235763183869013010684151408695573408593115359<82>
41722189699746721141076495892458125596757095293945856831948635365205154344900276080728228001425494209634260224077915352781127089012595537<137>
factorization results 素因数分解の結果
Number: n
N=63806756679769839913405115934598074403235914088759756167036973736683188059021249928787101919899732239503218822993220532102774454509200706431948954594656184128069275907252321540477411268728992195066370421010653449552783
  ( 218 digits)
SNFS difficulty: 223 digits.
Divisors found:

Sat Oct 14 21:35:52 2017  p82 factor: 1529324255005656748059821670638437290235763183869013010684151408695573408593115359
Sat Oct 14 21:35:52 2017  p137 factor: 41722189699746721141076495892458125596757095293945856831948635365205154344900276080728228001425494209634260224077915352781127089012595537
Sat Oct 14 21:35:52 2017  elapsed time 08:18:06 (Msieve 1.53 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.747).
Factorization parameters were as follows:
#
# 112x10^220-1 373(220)
#
n: 63806756679769839913405115934598074403235914088759756167036973736683188059021249928787101919899732239503218822993220532102774454509200706431948954594656184128069275907252321540477411268728992195066370421010653449552783
m: 10000000000000000000000000000000000000
deg: 6
c6: 28
c0: -25
skew: 0.98
# Murphy_E = 2.188e-12
type: snfs
lss: 1
rlim: 37000000
alim: 37000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 37000000/37000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 72100000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 13195516 hash collisions in 72558238 relations (60480103 unique)
Msieve: matrix is 4545599 x 4545824 (1293.4 MB)

Sieving start time: 2017/10/12 16:41:00
Sieving end time  : 2017/10/14 13:15:46

Total sieving time: 44hrs 34min 46secs.

Total relation processing time: 7hrs 42min 57sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 14min 52sec.

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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
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 18:02:41 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 41 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:58 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 58 秒 (日本時間)

112×10221-13

c203

name 名前Serge Batalov
date 日付December 21, 2014 02:00:11 UTC 2014 年 12 月 21 日 (日) 11 時 0 分 11 秒 (日本時間)
composite number 合成数
10349412787976754197746898095940785444968418810702343267576994004626901003162252887955039181454186731694767355385555535753042711262116029661886866315770952699361971742648264008304058816609375090544800991<203>
prime factors 素因数
268437062090751714675387596543923795229<39>
38554336377284154836028900500072745031705549127729007485979128970981423418437326642622453634371710777587878508130328623752182401206632448603402810831988641830395179<164>
factorization results 素因数分解の結果
Input number is 10349412787976754197746898095940785444968418810702343267576994004626901003162252887955039181454186731694767355385555535753042711262116029661886866315770952699361971742648264008304058816609375090544800991 (203 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2117184080
Step 1 took 16016ms
********** Factor found in step 1: 268437062090751714675387596543923795229
Found probable prime factor of 39 digits: 268437062090751714675387596543923795229
Probable prime cofactor 38554336377284154836028900500072745031705549127729007485979128970981423418437326642622453634371710777587878508130328623752182401206632448603402810831988641830395179 has 164 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 21:23:44 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 44 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:55 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 55 秒 (日本時間)

112×10222-13

c186

composite cofactor 合成数の残り
399712467596110251061970528052733367278907115181837728269708285233985277916025880433213816568761304628735480928059087609497822427140745449720342341873305326210077140550775283007844781467<186>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:44 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 44 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:56 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 56 秒 (日本時間)
4511e6498 / 4342242CypJanuary 1, 2015 13:41:38 UTC 2015 年 1 月 1 日 (木) 22 時 41 分 38 秒 (日本時間)
256CypJuly 24, 2015 09:16:36 UTC 2015 年 7 月 24 日 (金) 18 時 16 分 36 秒 (日本時間)

112×10223-13

c177

composite cofactor 合成数の残り
262103810000724470056585314030059407487959637423419144582695971570815301757653571363999048593437538112496663848464719307740981766495207504060640361932993370990955618439847453231<177>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:45 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 45 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:56 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 56 秒 (日本時間)
4511e6498 / 4342CypJune 18, 2015 17:09:21 UTC 2015 年 6 月 19 日 (金) 2 時 9 分 21 秒 (日本時間)

112×10224-13

c224

name 名前Serge Batalov
date 日付December 19, 2014 18:09:18 UTC 2014 年 12 月 20 日 (土) 3 時 9 分 18 秒 (日本時間)
composite number 合成数
22355289421157684630738522954091816367265469061876247504990019960079840319361277445109780439121756487025948103792415169660678642714570858283433133732534930139720558882235528942115768463073852295409181636726546906187624750499<224>
prime factors 素因数
5935340462345040373261815003481138211<37>
3766471285511590922533618836174115689503692877121308019049264801627104829031995283127427697421069488950125662563751845777621587894239389268402126653823192127214099355435124758406037780609<187>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=2748998432
Step 1 took 6075ms
Step 2 took 3576ms
********** Factor found in step 2: 5935340462345040373261815003481138211
Found probable prime factor of 37 digits: 5935340462345040373261815003481138211
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 18:02:45 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 45 秒 (日本時間)

112×10226-13

c175

composite cofactor 合成数の残り
3390658239310545012161878687265880479685439268406019256452999857145276376604696371824124191917304430017680887833323864797013045210319070552339231775666657420034073566635768491<175>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:45 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 45 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:57 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 57 秒 (日本時間)
4511e6498 / 4342242CypJanuary 1, 2015 10:52:12 UTC 2015 年 1 月 1 日 (木) 19 時 52 分 12 秒 (日本時間)
256CypMay 17, 2015 02:05:35 UTC 2015 年 5 月 17 日 (日) 11 時 5 分 35 秒 (日本時間)

112×10227-13

c207

composite cofactor 合成数の残り
273199562775317766181429363943727561252561885982362368252563690043718066698388105327101227752118582944821822295602931394054014586100129687414577433527044580847036414909919834387140078313419143000624254259631<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:46 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 46 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:57 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 57 秒 (日本時間)
4511e6498 / 4342CypMay 13, 2015 06:13:08 UTC 2015 年 5 月 13 日 (水) 15 時 13 分 8 秒 (日本時間)

112×10229-13

c217

name 名前Serge Batalov
date 日付December 21, 2014 02:00:15 UTC 2014 年 12 月 21 日 (日) 11 時 0 分 15 秒 (日本時間)
composite number 合成数
3774231939139110767734794109062788668225328389896046439971655354457657275525446286062854775809454915744070457234387163555833874916088681619498423415024054940246387879935905026135259181373621376677800062096059922405723<217>
prime factors 素因数
768888663818877538563903380003167<33>
composite cofactor 合成数の残り
4908684594715502014402327290843957763491010505769127806655373902529068736777912199355419554612966382957863233030114286709987384399958894113572252183919499914206821777025915928171361669<184>
factorization results 素因数分解の結果
Input number is 3774231939139110767734794109062788668225328389896046439971655354457657275525446286062854775809454915744070457234387163555833874916088681619498423415024054940246387879935905026135259181373621376677800062096059922405723 (217 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3348179628
Step 1 took 18155ms
********** Factor found in step 1: 768888663818877538563903380003167
Found probable prime factor of 33 digits: 768888663818877538563903380003167
Composite cofactor 4908684594715502014402327290843957763491010505769127806655373902529068736777912199355419554612966382957863233030114286709987384399958894113572252183919499914206821777025915928171361669 has 184 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 20, 2014 21:23:46 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 46 秒 (日本時間)
4511e6585 / 4409CypJuly 24, 2015 16:17:12 UTC 2015 年 7 月 25 日 (土) 1 時 17 分 12 秒 (日本時間)

112×10232-13

c224

composite cofactor 合成数の残り
18236384927902269090977205701485967224641198925861876215996214061489281210199339729256188334336324164989003474461300387517186134626824589290274094595806216004592866239325164352487908079338034223938552984770673463076719476027<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:47 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 47 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:57 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 57 秒 (日本時間)
4511e6498 / 4342CypMay 22, 2015 11:37:20 UTC 2015 年 5 月 22 日 (金) 20 時 37 分 20 秒 (日本時間)

112×10233-13

c198

name 名前Serge Batalov
date 日付December 21, 2014 02:00:19 UTC 2014 年 12 月 21 日 (日) 11 時 0 分 19 秒 (日本時間)
composite number 合成数
544360354843188916265071301757868658413883946199786794959230574158982709022416013339846898971922880743683173027079814002614800947875771425022140725106877419452120373511454284087530115955322222557387<198>
prime factors 素因数
149018220843239391997998843165149668609<39>
composite cofactor 合成数の残り
3652978486542474861739891940964962598851923733614588217798418188828153610738312143228955480444996848499497132931570831226550246149561715926587127941491364880843<160>
factorization results 素因数分解の結果
Input number is 544360354843188916265071301757868658413883946199786794959230574158982709022416013339846898971922880743683173027079814002614800947875771425022140725106877419452120373511454284087530115955322222557387 (198 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3689500879
Step 1 took 16101ms
Step 2 took 10294ms
********** Factor found in step 2: 149018220843239391997998843165149668609
Found probable prime factor of 39 digits: 149018220843239391997998843165149668609
Composite cofactor 3652978486542474861739891940964962598851923733614588217798418188828153610738312143228955480444996848499497132931570831226550246149561715926587127941491364880843 has 160 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 20, 2014 21:23:47 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 47 秒 (日本時間)
4511e62000Serge BatalovDecember 22, 2014 02:50:48 UTC 2014 年 12 月 22 日 (月) 11 時 50 分 48 秒 (日本時間)
5043e6688600Dmitry DomanovFebruary 22, 2016 23:34:06 UTC 2016 年 2 月 23 日 (火) 8 時 34 分 6 秒 (日本時間)
88Dmitry DomanovFebruary 27, 2016 20:29:04 UTC 2016 年 2 月 28 日 (日) 5 時 29 分 4 秒 (日本時間)
5511e79000 / 17396yoyo@HomeApril 19, 2021 15:27:08 UTC 2021 年 4 月 20 日 (火) 0 時 27 分 8 秒 (日本時間)

112×10234-13

c223

name 名前Serge Batalov
date 日付December 21, 2014 02:00:23 UTC 2014 年 12 月 21 日 (日) 11 時 0 分 23 秒 (日本時間)
composite number 合成数
6539049989231486613023128753683955513314661100375815095814433300653627181913740233102573805240909893658388011682305747494830917457545160704435534616119554803554208317281215305420710073443197601854395069898333035730846841691<223>
prime factors 素因数
535988130957735615240256793<27>
composite cofactor 合成数の残り
12199990282521968189606731139159041130872799562522906954994010674641441095113801125577846149013541313473488285804898530767897167814899930223766975747788160565365885054244412804758856508304028259987<197>
factorization results 素因数分解の結果
Input number is 6539049989231486613023128753683955513314661100375815095814433300653627181913740233102573805240909893658388011682305747494830917457545160704435534616119554803554208317281215305420710073443197601854395069898333035730846841691 (223 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=6435335
Step 1 took 18139ms
Step 2 took 11575ms
********** Factor found in step 2: 535988130957735615240256793
Found probable prime factor of 27 digits: 535988130957735615240256793
Composite cofactor 12199990282521968189606731139159041130872799562522906954994010674641441095113801125577846149013541313473488285804898530767897167814899930223766975747788160565365885054244412804758856508304028259987 has 197 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 20, 2014 21:23:47 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 47 秒 (日本時間)
4511e6585 / 4409CypJune 27, 2015 22:43:42 UTC 2015 年 6 月 28 日 (日) 7 時 43 分 42 秒 (日本時間)

112×10235-13

c198

composite cofactor 合成数の残り
188377715030298279489438108420091021631879305960764941610780822733529282902751504795132326554843940578562606756835392734410530001518782083494648181759167486035252653732904577346979170901562768233977<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:48 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 48 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:58 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 58 秒 (日本時間)
4511e6498 / 4342242CypJanuary 7, 2015 03:06:50 UTC 2015 年 1 月 7 日 (水) 12 時 6 分 50 秒 (日本時間)
256CypFebruary 5, 2015 14:35:08 UTC 2015 年 2 月 5 日 (木) 23 時 35 分 8 秒 (日本時間)

112×10239-13

c221

composite cofactor 合成数の残り
44018958208552530056157514102627406871567977815116128567696567460924692614511779056376488373793866496306668401492781196389544954411013065250772066966257921962759095397301391880578580904920038796142295620801969765100056043<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)
403e6600300Serge BatalovDecember 20, 2014 21:23:48 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 48 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:58 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 58 秒 (日本時間)
4511e6498 / 4342CypJuly 24, 2015 16:31:20 UTC 2015 年 7 月 25 日 (土) 1 時 31 分 20 秒 (日本時間)

112×10240-13

c211

composite cofactor 合成数の残り
2010190051819897914165391510472296899788909770863418671933711370474347480898851481192508000329052653324063075479526544813447860321334607647432972166201681211895197342783139276247975588749768843685980544402117529<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:49 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 49 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:58 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 58 秒 (日本時間)
4511e6498 / 4342CypJune 30, 2015 00:54:59 UTC 2015 年 6 月 30 日 (火) 9 時 54 分 59 秒 (日本時間)

112×10241-13

c204

composite cofactor 合成数の残り
392246881291689876933909650987940884331097783072013237438968455410098001347231725317037684119205171180518759886011943293103033276865733853255048982033039402854013323195692332774121353541576977437080855227<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e61100300Serge BatalovDecember 20, 2014 21:23:49 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 49 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:59 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 59 秒 (日本時間)
500Alfred ReichFebruary 26, 2015 18:23:35 UTC 2015 年 2 月 27 日 (金) 3 時 23 分 35 秒 (日本時間)
4511e61000 / 3881Alfred ReichFebruary 28, 2015 08:24:23 UTC 2015 年 2 月 28 日 (土) 17 時 24 分 23 秒 (日本時間)
5043e6100 / 7287Alfred ReichFebruary 27, 2015 18:33:56 UTC 2015 年 2 月 28 日 (土) 3 時 33 分 56 秒 (日本時間)

112×10242-13

c216

name 名前Serge Batalov
date 日付December 21, 2014 02:00:27 UTC 2014 年 12 月 21 日 (日) 11 時 0 分 27 秒 (日本時間)
composite number 合成数
443866775907698303890332222291556445919530025542475372004701127626412319063325116784335980322964939564478485361506713511963011119124045242788150681575624493102676393953974620647683960322850941860384660420295563787431<216>
prime factors 素因数
82111450714868662784748874810938113<35>
5405662328985296244344999974351139201370915846029921848417561667742892644405759808021196339470545290002735610033262542548319368172488062495397608750674725615656673112507655987173287<181>
factorization results 素因数分解の結果
Input number is 443866775907698303890332222291556445919530025542475372004701127626412319063325116784335980322964939564478485361506713511963011119124045242788150681575624493102676393953974620647683960322850941860384660420295563787431 (216 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2264680369
Step 1 took 18153ms
Step 2 took 11269ms
********** Factor found in step 2: 82111450714868662784748874810938113
Found probable prime factor of 35 digits: 82111450714868662784748874810938113
Probable prime cofactor 5405662328985296244344999974351139201370915846029921848417561667742892644405759808021196339470545290002735610033262542548319368172488062495397608750674725615656673112507655987173287 has 181 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:23:50 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 50 秒 (日本時間)

112×10243-13

c204

composite cofactor 合成数の残り
192627026197155189452475204384929609572987122926923313423341587137318523337367833134350923637064913978919135766362524146819988479280387350360785066036367021800726385839898986447885866451638263962324876833<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:50 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 50 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:59 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 59 秒 (日本時間)
4511e6498 / 4342CypJuly 24, 2015 09:22:17 UTC 2015 年 7 月 24 日 (金) 18 時 22 分 17 秒 (日本時間)

112×10244-13

c242

name 名前Serge Batalov
date 日付December 21, 2014 12:06:04 UTC 2014 年 12 月 21 日 (日) 21 時 6 分 4 秒 (日本時間)
composite number 合成数
21856643834279804070799914134613508186484007571765899732646410241398825205393907460531194504615264523934976484593017582889370255449524813145210077473996448295376929531838495013953125304919696348769588041293444958335772690904123490037663680893<242>
prime factors 素因数
8601374897632037853382999688622228763303<40>
2541063968772823442562226113421231308377997395845335880175550878053964990953163815225215123790548561433163771101831310484351012172535837625612312448631646744379448102510728988499717826023980782738889531<202>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=964764092
Step 1 took 77167ms
Step 2 took 32359ms
********** Factor found in step 2: 8601374897632037853382999688622228763303
Found probable prime factor of 40 digits: 8601374897632037853382999688622228763303
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 18:02:56 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 56 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:03:08 UTC 2014 年 12 月 20 日 (土) 10 時 3 分 8 秒 (日本時間)
4511e61000 / 3916Serge BatalovDecember 21, 2014 10:25:03 UTC 2014 年 12 月 21 日 (日) 19 時 25 分 3 秒 (日本時間)

112×10245-13

c240

composite cofactor 合成数の残り
323200059191782269123552716627797530976633530292026547768290605564079476164269777513407824598404447879214597307587678332486231749621300430643878869350387215313772861750972680678139518482123242011713751288147021629211675521338288336526521061<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:50 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 50 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:59 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 59 秒 (日本時間)
4511e6498 / 4342CypJuly 24, 2015 11:34:19 UTC 2015 年 7 月 24 日 (金) 20 時 34 分 19 秒 (日本時間)

112×10247-13

c243

name 名前Serge Batalov
date 日付December 21, 2014 00:15:24 UTC 2014 年 12 月 21 日 (日) 9 時 15 分 24 秒 (日本時間)
composite number 合成数
224484032470813568215786879669944333972912393703303062062418987821540806286514983607654825334386003099883969815716648236928465156570597522377750906504605229796487185669741095750657567847793412155289234647747473101501457442537599572197572405621<243>
prime factors 素因数
299042799302943310349631217558587608938343478691<48>
composite cofactor 合成数の残り
750675264524264697586719184434001765923901468808716066339436962827710773001469655958123303689354655157912726321337072565400806699495406681232918304100442187813088853366758712132211267749512308231<195>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=825058906
Step 1 took 77650ms
Step 2 took 32265ms
********* Factor found in step 2: 299042799302943310349631217558587608938343478691
Found probable prime factor of 48 digits: 299042799302943310349631217558587608938343478691
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 18:02:57 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 57 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:03:10 UTC 2014 年 12 月 20 日 (土) 10 時 3 分 10 秒 (日本時間)
4511e64000Serge BatalovDecember 21, 2014 00:00:26 UTC 2014 年 12 月 21 日 (日) 9 時 0 分 26 秒 (日本時間)

112×10248-13

c221

name 名前Cyp
date 日付July 23, 2015 20:31:45 UTC 2015 年 7 月 24 日 (金) 5 時 31 分 45 秒 (日本時間)
composite number 合成数
15307533406450850234005679322067273299441747725171188157044844189473020968329526462851203230536575392240430539121144215551760182982383463719151114315669681990232958772929283084568499353260208816981966153962874981654879427<221>
prime factors 素因数
830913787389760586308428034034139160579<39>
18422529074331600302005980321646510855416726492054530708111962583545473982352389469797749418932650901400753821019393256783683974195336770730330982922546944916533013729758764418946113<182>
factorization results 素因数分解の結果
Run 70 out of 498:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2273649228
Step 1 took 80269ms
Step 2 took 23898ms
********** Factor found in step 2: 830913787389760586308428034034139160579
Found probable prime factor of 39 digits: 830913787389760586308428034034139160579
Probable prime cofactor 18422529074331600302005980321646510855416726492054530708111962583545473982352389469797749418932650901400753821019393256783683974195336770730330982922546944916533013729758764418946113 has 182 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 / 2077300Serge BatalovDecember 20, 2014 21:23:51 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 51 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:08:00 UTC 2014 年 12 月 21 日 (日) 8 時 8 分 0 秒 (日本時間)
4511e670 / 4342CypJuly 23, 2015 20:31:44 UTC 2015 年 7 月 24 日 (金) 5 時 31 分 44 秒 (日本時間)

112×10249-13

c200

composite cofactor 合成数の残り
51405868141649945321200464023308808396822425815932205315841016498293150400964419801287220664184817646017098656177966155001528449669363492199014518952388758950010739883156295045055169801911601575965279<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:23:51 UTC 2014 年 12 月 21 日 (日) 6 時 23 分 51 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:08:00 UTC 2014 年 12 月 21 日 (日) 8 時 8 分 0 秒 (日本時間)
4511e6498 / 4342CypMay 30, 2015 17:54:31 UTC 2015 年 5 月 31 日 (日) 2 時 54 分 31 秒 (日本時間)

112×10250-13

c163

composite cofactor 合成数の残り
2073693712411924587136688780269453638735569407779939965404778963438398542650202538699660932903595202530701952007950519488892639602968851142978866879597929442967569<163>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:01 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 1 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:22 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 22 秒 (日本時間)
4511e60--
5043e61200 / 7459600Serge BatalovJune 19, 2015 22:55:50 UTC 2015 年 6 月 20 日 (土) 7 時 55 分 50 秒 (日本時間)
600Serge BatalovJune 19, 2015 22:56:10 UTC 2015 年 6 月 20 日 (土) 7 時 56 分 10 秒 (日本時間)

112×10253-13

c227

composite cofactor 合成数の残り
41238785979588049320519476617289045093142292443011977599297430790256516123940502833851723259239545812241206316303530296560892778523440032338726596417932516581485967594912716721469236828435477729484977601758109536978940520333879<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferJanuary 3, 2021 12:28:12 UTC 2021 年 1 月 3 日 (日) 21 時 28 分 12 秒 (日本時間)
4511e63000300Youcef LemsaferJanuary 3, 2021 12:28:12 UTC 2021 年 1 月 3 日 (日) 21 時 28 分 12 秒 (日本時間)
2700Youcef LemsaferJanuary 9, 2021 20:28:13 UTC 2021 年 1 月 10 日 (日) 5 時 28 分 13 秒 (日本時間)
5043e60 / 6163--
5511e7270 / 17568Youcef LemsaferJanuary 10, 2021 08:55:17 UTC 2021 年 1 月 10 日 (日) 17 時 55 分 17 秒 (日本時間)

112×10254-13

c211

composite cofactor 合成数の残り
4015897797096400120696010993318889883753738499783893908071902008180357484027693729355105599358361519921081398453578347857684465890252474601831133247163996010863651756745308293459716272969723503277097082804486367<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e626201000Dmitry DomanovMay 30, 2017 07:12:44 UTC 2017 年 5 月 30 日 (火) 16 時 12 分 44 秒 (日本時間)
1620Youcef LemsaferJanuary 3, 2021 19:57:00 UTC 2021 年 1 月 4 日 (月) 4 時 57 分 0 秒 (日本時間)
4511e63000300Youcef LemsaferJanuary 3, 2021 19:57:00 UTC 2021 年 1 月 4 日 (月) 4 時 57 分 0 秒 (日本時間)
2700Youcef LemsaferJanuary 10, 2021 15:42:46 UTC 2021 年 1 月 11 日 (月) 0 時 42 分 46 秒 (日本時間)
5043e60 / 6125--
5511e7270 / 17560Youcef LemsaferJanuary 10, 2021 21:10:28 UTC 2021 年 1 月 11 日 (月) 6 時 10 分 28 秒 (日本時間)

112×10256-13

c192

name 名前Youcef Lemsafer
date 日付January 4, 2021 10:07:47 UTC 2021 年 1 月 4 日 (月) 19 時 7 分 47 秒 (日本時間)
composite number 合成数
142836273523770747805199041262619985365717350981045373238288071976419118204104581563455390391982561603632393407921569883151985050778575236567790938971173036630215429234302071383486608713289389<192>
prime factors 素因数
107257334053613097014656313510557127701<39>
composite cofactor 合成数の残り
1331715679716347843147280813015327756467290596475601938458656688627965469468665914478414480262831720735643649193428628279371756282111229662416301494124089<154>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.1] [ECM]
Tuned for default
Running on ip-*-*-*-*.ec2.internal
Input number is (112*10^256-1)/(3*47*148381*10393467370739*3822562337027393279*9433374404407683751804180991) (192 digits)
[Sun Jan  3 20:54:49 2021]
Using MODMULN [mulredc:0, sqrredc:0]
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=0:4548710179606530793
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 83709ms
********** Factor found in step 1: 107257334053613097014656313510557127701
Found prime factor of 39 digits: 107257334053613097014656313510557127701
Composite cofactor ((112*10^256-1)/(3*47*148381*10393467370739*3822562337027393279*9433374404407683751804180991))/107257334053613097014656313510557127701 has 154 digits
execution environment 実行環境
Amazon Linux Graviton2, t4g.micro

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e626201000Dmitry DomanovMay 22, 2017 13:43:29 UTC 2017 年 5 月 22 日 (月) 22 時 43 分 29 秒 (日本時間)
1620Youcef LemsaferJanuary 3, 2021 19:57:38 UTC 2021 年 1 月 4 日 (月) 4 時 57 分 38 秒 (日本時間)
4511e63000300Youcef LemsaferJanuary 3, 2021 19:57:38 UTC 2021 年 1 月 4 日 (月) 4 時 57 分 38 秒 (日本時間)
2700Youcef LemsaferJanuary 11, 2021 07:38:44 UTC 2021 年 1 月 11 日 (月) 16 時 38 分 44 秒 (日本時間)
5043e60 / 6125--
5511e7270 / 17560Youcef LemsaferJanuary 11, 2021 07:38:44 UTC 2021 年 1 月 11 日 (月) 16 時 38 分 44 秒 (日本時間)

112×10257-13

c229

composite cofactor 合成数の残り
5178111496875761485689206475777932328367145464524345578731406342471207425217952220856900416563291517349242416243434790468352151296282994612650338847341499010361686061977305630673535453628811766321370944084935920620767154913989263<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferJanuary 4, 2021 09:58:38 UTC 2021 年 1 月 4 日 (月) 18 時 58 分 38 秒 (日本時間)
4511e63000300Youcef LemsaferJanuary 4, 2021 15:10:55 UTC 2021 年 1 月 5 日 (火) 0 時 10 分 55 秒 (日本時間)
2700Youcef LemsaferJanuary 11, 2021 15:57:45 UTC 2021 年 1 月 12 日 (火) 0 時 57 分 45 秒 (日本時間)
5043e60 / 6163--
5511e7270 / 17568Youcef LemsaferJanuary 11, 2021 19:54:16 UTC 2021 年 1 月 12 日 (火) 4 時 54 分 16 秒 (日本時間)

112×10259-13

c260

composite cofactor 合成数の残り
12043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferJanuary 5, 2021 09:18:54 UTC 2021 年 1 月 5 日 (火) 18 時 18 分 54 秒 (日本時間)
4511e63000300Youcef LemsaferJanuary 5, 2021 10:45:23 UTC 2021 年 1 月 5 日 (火) 19 時 45 分 23 秒 (日本時間)
2700Youcef LemsaferJanuary 12, 2021 08:59:54 UTC 2021 年 1 月 12 日 (火) 17 時 59 分 54 秒 (日本時間)
5043e60 / 6163--
5511e7270 / 17568Youcef LemsaferJanuary 12, 2021 10:12:03 UTC 2021 年 1 月 12 日 (火) 19 時 12 分 3 秒 (日本時間)

112×10260-13

c214

composite cofactor 合成数の残り
8370415362009843156653032781523377882617875608588930229104630190698768842657412942613503490193100167739616823278741206366142294874213266585509526689424414761632904860146886034635957681654773005840103498593638693901<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e626201000Dmitry DomanovMay 30, 2017 12:32:53 UTC 2017 年 5 月 30 日 (火) 21 時 32 分 53 秒 (日本時間)
1620Youcef LemsaferJanuary 5, 2021 21:01:44 UTC 2021 年 1 月 6 日 (水) 6 時 1 分 44 秒 (日本時間)
4511e63000300Youcef LemsaferJanuary 6, 2021 18:58:47 UTC 2021 年 1 月 7 日 (木) 3 時 58 分 47 秒 (日本時間)
2700Youcef LemsaferJanuary 13, 2021 08:54:16 UTC 2021 年 1 月 13 日 (水) 17 時 54 分 16 秒 (日本時間)
5043e60 / 6125--
5511e7270 / 17560Youcef LemsaferJanuary 13, 2021 08:54:16 UTC 2021 年 1 月 13 日 (水) 17 時 54 分 16 秒 (日本時間)

112×10261-13

c187

composite cofactor 合成数の残り
3654868962735940281955959408513515174360243657489569054768123555489016532284879123915170527128401639288003658303774710233665291668489163259560430762709272910441900406815052714058055532189<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e626201000Dmitry DomanovMay 22, 2017 13:43:57 UTC 2017 年 5 月 22 日 (月) 22 時 43 分 57 秒 (日本時間)
1620Youcef LemsaferJanuary 6, 2021 18:58:06 UTC 2021 年 1 月 7 日 (木) 3 時 58 分 6 秒 (日本時間)
4511e63000300Youcef LemsaferJanuary 6, 2021 18:58:06 UTC 2021 年 1 月 7 日 (木) 3 時 58 分 6 秒 (日本時間)
2700Youcef LemsaferJanuary 13, 2021 08:54:40 UTC 2021 年 1 月 13 日 (水) 17 時 54 分 40 秒 (日本時間)
5043e60 / 6125--
5511e7270 / 17560Youcef LemsaferJanuary 13, 2021 11:42:46 UTC 2021 年 1 月 13 日 (水) 20 時 42 分 46 秒 (日本時間)

112×10262-13

c243

composite cofactor 合成数の残り
589491584765653661764327001991196064525794349969182525175480594280309522566849127126094005253206820591808342268969033223128632075863139895251820748462901874889352216467529213975544687849706310739097920320882544413728389805688762892611778061027<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferJanuary 7, 2021 10:55:19 UTC 2021 年 1 月 7 日 (木) 19 時 55 分 19 秒 (日本時間)
4511e63000300Youcef LemsaferJanuary 7, 2021 10:55:19 UTC 2021 年 1 月 7 日 (木) 19 時 55 分 19 秒 (日本時間)
2700Youcef LemsaferJanuary 13, 2021 19:32:07 UTC 2021 年 1 月 14 日 (木) 4 時 32 分 7 秒 (日本時間)
5043e60 / 6163--
5511e7270 / 17568Youcef LemsaferJanuary 14, 2021 08:46:22 UTC 2021 年 1 月 14 日 (木) 17 時 46 分 22 秒 (日本時間)

112×10266-13

c205

composite cofactor 合成数の残り
2728089789300366149825853296641022773971330348383093819558995040319113768064007622562422877445165688822172272980887748724540945443230792201455817586962154449454079795317951214826739327481855221782469837037<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e626201000Dmitry DomanovMay 30, 2017 12:33:29 UTC 2017 年 5 月 30 日 (火) 21 時 33 分 29 秒 (日本時間)
1620Youcef LemsaferJanuary 7, 2021 14:32:59 UTC 2021 年 1 月 7 日 (木) 23 時 32 分 59 秒 (日本時間)
4511e63000300Youcef LemsaferJanuary 8, 2021 13:41:29 UTC 2021 年 1 月 8 日 (金) 22 時 41 分 29 秒 (日本時間)
2700Youcef LemsaferJanuary 14, 2021 08:46:43 UTC 2021 年 1 月 14 日 (木) 17 時 46 分 43 秒 (日本時間)
5043e60 / 6125--
5511e7270 / 17560Youcef LemsaferJanuary 14, 2021 13:36:39 UTC 2021 年 1 月 14 日 (木) 22 時 36 分 39 秒 (日本時間)

112×10267-13

c256

composite cofactor 合成数の残り
1791093323088413593720250239549316477328102605210104375234686583903710604651161250049479421473195103325581529459334056962226928547370516048624119496531083753160191035536203945108659610851960157028163821069875997813260623402421740924172999092719784083881113<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferJanuary 8, 2021 13:42:01 UTC 2021 年 1 月 8 日 (金) 22 時 42 分 1 秒 (日本時間)
4511e63000300Youcef LemsaferJanuary 8, 2021 15:05:09 UTC 2021 年 1 月 9 日 (土) 0 時 5 分 9 秒 (日本時間)
2700Youcef LemsaferJanuary 14, 2021 22:48:55 UTC 2021 年 1 月 15 日 (金) 7 時 48 分 55 秒 (日本時間)
5043e60 / 6163--
5511e7270 / 17568Youcef LemsaferJanuary 15, 2021 09:14:40 UTC 2021 年 1 月 15 日 (金) 18 時 14 分 40 秒 (日本時間)

112×10268-13

c221

composite cofactor 合成数の残り
15083380097630671757903161403525447148984815376304171907125339158223629200134052611190597502008275339821624280399342935264916374929320117545054499556118926517466099687564603628082859752699742642316538553366784470962505999<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferJanuary 9, 2021 09:11:32 UTC 2021 年 1 月 9 日 (土) 18 時 11 分 32 秒 (日本時間)
4511e63000300Youcef LemsaferJanuary 9, 2021 09:11:32 UTC 2021 年 1 月 9 日 (土) 18 時 11 分 32 秒 (日本時間)
2700Youcef LemsaferJanuary 16, 2021 08:19:03 UTC 2021 年 1 月 16 日 (土) 17 時 19 分 3 秒 (日本時間)
5043e60 / 6163--
5511e7270 / 17568Youcef LemsaferJanuary 16, 2021 08:19:03 UTC 2021 年 1 月 16 日 (土) 17 時 19 分 3 秒 (日本時間)

112×10269-13

c267

composite cofactor 合成数の残り
737375732437948515372967278951873066034630324576996510632694713279346895779840674172098228981499769570083613141088945947725327539666864178023569688590427282902100204095068799789321219303443281322009348870893409704391335835143854104944367634472315491474093093686220291<267>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferJanuary 11, 2021 07:44:35 UTC 2021 年 1 月 11 日 (月) 16 時 44 分 35 秒 (日本時間)
4511e63000300Youcef LemsaferJanuary 11, 2021 07:44:35 UTC 2021 年 1 月 11 日 (月) 16 時 44 分 35 秒 (日本時間)
2700Youcef LemsaferJanuary 16, 2021 20:07:38 UTC 2021 年 1 月 17 日 (日) 5 時 7 分 38 秒 (日本時間)
5043e60 / 6163--
5511e7270 / 17568Youcef LemsaferJanuary 17, 2021 14:26:42 UTC 2021 年 1 月 17 日 (日) 23 時 26 分 42 秒 (日本時間)

112×10270-13

c252

composite cofactor 合成数の残り
433223347331802191776597244017357540378726942209049056030819611450749749995100522370408241366180036283992515967311402476672759488740732130967613669948015347672487703279369791574799949759686145931410125388134319735102949000696850367846951946780073307481<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferJanuary 11, 2021 07:44:00 UTC 2021 年 1 月 11 日 (月) 16 時 44 分 0 秒 (日本時間)
4511e63000300Youcef LemsaferJanuary 11, 2021 07:44:00 UTC 2021 年 1 月 11 日 (月) 16 時 44 分 0 秒 (日本時間)
2700Youcef LemsaferJanuary 17, 2021 14:27:24 UTC 2021 年 1 月 17 日 (日) 23 時 27 分 24 秒 (日本時間)
5043e60 / 6163--
5511e7270 / 17568Youcef LemsaferJanuary 18, 2021 08:54:51 UTC 2021 年 1 月 18 日 (月) 17 時 54 分 51 秒 (日本時間)

112×10272-13

c248

name 名前Youcef Lemsafer
date 日付January 18, 2021 09:04:12 UTC 2021 年 1 月 18 日 (月) 18 時 4 分 12 秒 (日本時間)
composite number 合成数
12427411322113623859685654199370411782059458594406417213288742391865029347156562968214550307730647332036069980716930838274051544628894247089510072312437637350613418868842810546292709147964620578970609534693433475826004510498176203946978981249726409<248>
prime factors 素因数
4893175039670369909000787260863612592916040079<46>
composite cofactor 合成数の残り
2539743872099617319915157577654347993895421797567112289849973793907274352036431324618054752991012387009725459452747498327179146902438887722272176010654550624369179902532243804180631287899362680551935271<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 (112*10^272-1)/(3*29*263433529*39323036592042457) (248 digits)
[Sun Jan 17 22:33:33 2021]
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=0:13966534885404192033
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 47178ms
Using 29 small primes for NTT
Estimated memory usage: 156.52MB
Initializing tables of differences for F took 40ms
Computing roots of F took 1197ms
Building F from its roots took 1174ms
Computing 1/F took 606ms
Initializing table of differences for G took 35ms
Computing roots of G took 1054ms
Building G from its roots took 1286ms
Computing roots of G took 1067ms
Building G from its roots took 1268ms
Computing G * H took 307ms
Reducing  G * H mod F took 329ms
Computing roots of G took 1054ms
Building G from its roots took 1284ms
Computing G * H took 311ms
Reducing  G * H mod F took 325ms
Computing polyeval(F,G) took 2349ms
Computing product of all F(g_i) took 14ms
Step 2 took 13774ms
********** Factor found in step 2: 4893175039670369909000787260863612592916040079
Found prime factor of 46 digits: 4893175039670369909000787260863612592916040079
Composite cofactor ((112*10^272-1)/(3*29*263433529*39323036592042457))/4893175039670369909000787260863612592916040079 has 202 digits
execution environment 実行環境
Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz, 64GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferJanuary 11, 2021 07:43:12 UTC 2021 年 1 月 11 日 (月) 16 時 43 分 12 秒 (日本時間)
4511e63000300Youcef LemsaferJanuary 11, 2021 19:55:41 UTC 2021 年 1 月 12 日 (火) 4 時 55 分 41 秒 (日本時間)
2700Youcef LemsaferJanuary 18, 2021 08:55:43 UTC 2021 年 1 月 18 日 (月) 17 時 55 分 43 秒 (日本時間)
5043e60 / 6163--
5511e7270 / 17568Youcef LemsaferJanuary 18, 2021 09:02:32 UTC 2021 年 1 月 18 日 (月) 18 時 2 分 32 秒 (日本時間)

112×10275-13

c225

composite cofactor 合成数の残り
419227300547361258385452781352155800623484700374898248722532029619595872707871120480973203434661164919646438133842900139316811306779262892202795610329940363872528527904977218419094596471522879428310793540940007664293591086563<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferJanuary 12, 2021 17:02:07 UTC 2021 年 1 月 13 日 (水) 2 時 2 分 7 秒 (日本時間)
4511e63000300Youcef LemsaferJanuary 12, 2021 17:02:07 UTC 2021 年 1 月 13 日 (水) 2 時 2 分 7 秒 (日本時間)
2700Youcef LemsaferJanuary 18, 2021 17:59:27 UTC 2021 年 1 月 19 日 (火) 2 時 59 分 27 秒 (日本時間)
5043e60 / 6163--
5511e7270 / 17568Youcef LemsaferJanuary 19, 2021 08:29:27 UTC 2021 年 1 月 19 日 (火) 17 時 29 分 27 秒 (日本時間)

112×10276-13

c240

composite cofactor 合成数の残り
123757675538166176729546737391873935379916600535477299251437803706078513395755258710358378105995037019064571276827000514311660414402794197008847425462604120934470423682872186966800055481383604877400002636789633001035926562218277331177905921<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferJanuary 12, 2021 17:02:38 UTC 2021 年 1 月 13 日 (水) 2 時 2 分 38 秒 (日本時間)
4511e63000300Youcef LemsaferJanuary 13, 2021 08:55:29 UTC 2021 年 1 月 13 日 (水) 17 時 55 分 29 秒 (日本時間)
2700Youcef LemsaferJanuary 19, 2021 08:30:50 UTC 2021 年 1 月 19 日 (火) 17 時 30 分 50 秒 (日本時間)
5043e60 / 6163--
5511e7270 / 17568Youcef LemsaferJanuary 19, 2021 17:17:20 UTC 2021 年 1 月 20 日 (水) 2 時 17 分 20 秒 (日本時間)

112×10277-13

c270

composite cofactor 合成数の残り
126941547637099508602049296265942166915432600812746409617087024687423420209155610454843163334236203957495528257019796434727558906750000247394342057927636072431340557576129316661169128591272849729199228994170054941436357418673899825066239485146699116036310626410003311217<270>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferJanuary 14, 2021 08:48:09 UTC 2021 年 1 月 14 日 (木) 17 時 48 分 9 秒 (日本時間)
4511e63000300Youcef LemsaferJanuary 14, 2021 08:48:09 UTC 2021 年 1 月 14 日 (木) 17 時 48 分 9 秒 (日本時間)
2700Youcef LemsaferJanuary 20, 2021 09:09:56 UTC 2021 年 1 月 20 日 (水) 18 時 9 分 56 秒 (日本時間)
5043e60 / 6163--
5511e7270 / 17568Youcef LemsaferJanuary 20, 2021 09:09:56 UTC 2021 年 1 月 20 日 (水) 18 時 9 分 56 秒 (日本時間)

112×10278-13

c277

name 名前Serge Batalov
date 日付May 23, 2017 16:39:40 UTC 2017 年 5 月 24 日 (水) 1 時 39 分 40 秒 (日本時間)
composite number 合成数
2649633309675893068370002365744026496333096758930683700023657440264963330967589306837000236574402649633309675893068370002365744026496333096758930683700023657440264963330967589306837000236574402649633309675893068370002365744026496333096758930683700023657440264963330967589306837<277>
prime factors 素因数
11494033698081615975656191120736170049<38>
composite cofactor 合成数の残り
230522493606237098239594115852892109997571104237756676517224323846785267528637935271693484653625743900503128994371040713612727163041112575226744551527630771469108585150200909065020165370642649354577284861971740847640096563366954137556593813<240>
factorization results 素因数分解の結果
11494033698081615975656191120736170049

c240

name 名前Youcef Lemsafer
date 日付January 14, 2021 18:07:09 UTC 2021 年 1 月 15 日 (金) 3 時 7 分 9 秒 (日本時間)
composite number 合成数
230522493606237098239594115852892109997571104237756676517224323846785267528637935271693484653625743900503128994371040713612727163041112575226744551527630771469108585150200909065020165370642649354577284861971740847640096563366954137556593813<240>
prime factors 素因数
1215078229659085974979860616932672196371667<43>
189718232109972626509743273688204700917326100181450942188316160078897490374246773679441108556321985606236200845720056014324250244687289956661092602519797193145757962737010084872087776229832008296439<198>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.1] [ECM]
Tuned for default
Running on ip-*-*-*-*.ec2.internal
Input number is (112*10^278-1)/(3*1409*11494033698081615975656191120736170049) (240 digits)
[Thu Jan 14 09:37:18 2021]
Using MODMULN [mulredc:0, sqrredc:0]
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=0:1487386693908364285
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 135883ms
Using 29 small primes for NTT
Estimated memory usage: 158.82MB
Initializing tables of differences for F took 126ms
Computing roots of F took 3083ms
Building F from its roots took 2712ms
Computing 1/F took 1456ms
Initializing table of differences for G took 104ms
Computing roots of G took 2678ms
Building G from its roots took 2836ms
Computing roots of G took 2681ms
Building G from its roots took 2846ms
Computing G * H took 782ms
Reducing  G * H mod F took 836ms
Computing roots of G took 2681ms
Building G from its roots took 2844ms
Computing G * H took 772ms
Reducing  G * H mod F took 837ms
Computing polyeval(F,G) took 5360ms
Computing product of all F(g_i) took 37ms
Step 2 took 32739ms
********** Factor found in step 2: 1215078229659085974979860616932672196371667
Found prime factor of 43 digits: 1215078229659085974979860616932672196371667
Prime cofactor ((112*10^278-1)/(3*1409*11494033698081615975656191120736170049))/1215078229659085974979860616932672196371667 has 198 digits
execution environment 実行環境
Amazon Linux Graviton2, t4g.micro

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferJanuary 14, 2021 08:54:05 UTC 2021 年 1 月 14 日 (木) 17 時 54 分 5 秒 (日本時間)
4511e6240 / 4081Youcef LemsaferJanuary 14, 2021 18:05:38 UTC 2021 年 1 月 15 日 (金) 3 時 5 分 38 秒 (日本時間)

112×10279-13

c241

composite cofactor 合成数の残り
4994830536135135562863547425415571999659875971942543866663962583418343900739373663462390123234038866050056941629316791904831710132419024484013476810300011087319754640754305359663958509389086061952233048432558984467189486176428289981318013907<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferJanuary 14, 2021 22:50:24 UTC 2021 年 1 月 15 日 (金) 7 時 50 分 24 秒 (日本時間)
4511e63000300Youcef LemsaferJanuary 15, 2021 09:20:46 UTC 2021 年 1 月 15 日 (金) 18 時 20 分 46 秒 (日本時間)
2700Youcef LemsaferJanuary 20, 2021 17:34:51 UTC 2021 年 1 月 21 日 (木) 2 時 34 分 51 秒 (日本時間)
5043e60 / 6163--
5511e7270 / 17568Youcef LemsaferJanuary 21, 2021 09:02:27 UTC 2021 年 1 月 21 日 (木) 18 時 2 分 27 秒 (日本時間)

112×10282-13

c269

composite cofactor 合成数の残り
69923679557273109096831375608180095100579137011307810411398521363921127707413695319948514735119674316647101368958090573779331102040040863300234768161559743814590335881258193548997165667272063818136813439979946832759353458149020223979215564910581079248224702523473142863<269>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferJanuary 15, 2021 13:16:41 UTC 2021 年 1 月 15 日 (金) 22 時 16 分 41 秒 (日本時間)
4511e63000300Youcef LemsaferJanuary 16, 2021 08:20:26 UTC 2021 年 1 月 16 日 (土) 17 時 20 分 26 秒 (日本時間)
2700Youcef LemsaferJanuary 21, 2021 09:07:01 UTC 2021 年 1 月 21 日 (木) 18 時 7 分 1 秒 (日本時間)
5043e60 / 6163--
5511e7270 / 17568Youcef LemsaferJanuary 21, 2021 17:40:33 UTC 2021 年 1 月 22 日 (金) 2 時 40 分 33 秒 (日本時間)

112×10284-13

c268

composite cofactor 合成数の残り
8593498126616015994837903984776211125795103869289522195264710921920191657612106256954889466422865119892803791612129323658537748684420972267328529066238543367915692139115962429596532570857269361238129494890054952284503030784135970414486852513051411164007516259825798937<268>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferJanuary 16, 2021 14:17:15 UTC 2021 年 1 月 16 日 (土) 23 時 17 分 15 秒 (日本時間)
4511e63000300Youcef LemsaferJanuary 18, 2021 13:50:08 UTC 2021 年 1 月 18 日 (月) 22 時 50 分 8 秒 (日本時間)
2700Youcef LemsaferJanuary 22, 2021 08:27:40 UTC 2021 年 1 月 22 日 (金) 17 時 27 分 40 秒 (日本時間)
5043e60 / 6163--
5511e7270 / 17568Youcef LemsaferJanuary 22, 2021 11:49:56 UTC 2021 年 1 月 22 日 (金) 20 時 49 分 56 秒 (日本時間)

112×10285-13

c249

name 名前Serge Batalov
date 日付May 23, 2017 16:41:57 UTC 2017 年 5 月 24 日 (水) 1 時 41 分 57 秒 (日本時間)
composite number 合成数
218119292943624693375026804549067342492063348896236357566475706079178106639929850799820039527213646877793646216498255149904236919696279541048068767339995547102590866427291300227077827960066885937629756725740713367528043322644589155247929225242077279<249>
prime factors 素因数
327170179373840285044650476087700937<36>
composite cofactor 合成数の残り
666684516789016897483696586078580147882122979156069865413502954388655240860889508559255375281085703293554418117780550942126559557324550100701736345350892256949574127608876346952781073515678959276675191781714958567<213>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3268572394
Step 1 took 41020ms
Step 2 took 16492ms
********** Factor found in step 2: 327170179373840285044650476087700937
Found prime factor of 36 digits: 327170179373840285044650476087700937
Composite cofactor 666684516789016897483696586078580147882122979156069865413502954388655240860889508559255375281085703293554418117780550942126559557324550100701736345350892256949574127608876346952781073515678959276675191781714958567 has 213 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e626201000Dmitry DomanovMay 30, 2017 12:34:07 UTC 2017 年 5 月 30 日 (火) 21 時 34 分 7 秒 (日本時間)
1620Youcef LemsaferJanuary 18, 2021 13:49:49 UTC 2021 年 1 月 18 日 (月) 22 時 49 分 49 秒 (日本時間)
4511e63000300Youcef LemsaferJanuary 18, 2021 13:49:49 UTC 2021 年 1 月 18 日 (月) 22 時 49 分 49 秒 (日本時間)
2700Youcef LemsaferJanuary 25, 2021 11:07:02 UTC 2021 年 1 月 25 日 (月) 20 時 7 分 2 秒 (日本時間)
5043e60 / 6125--
5511e7270 / 17560Youcef LemsaferJanuary 25, 2021 11:07:02 UTC 2021 年 1 月 25 日 (月) 20 時 7 分 2 秒 (日本時間)

112×10286-13

c278

composite cofactor 合成数の残り
22884204880459399639816014700819590092763599450564649696314189620004985474006479350365099415453955604858665050930323336743957020267782202903899257247511350907504599078548942022953629714421538626726522750689551341245431237735660288591187991081516920090110039202415873135413602743<278>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferJanuary 18, 2021 13:48:55 UTC 2021 年 1 月 18 日 (月) 22 時 48 分 55 秒 (日本時間)
4511e63000300Youcef LemsaferJanuary 18, 2021 13:48:55 UTC 2021 年 1 月 18 日 (月) 22 時 48 分 55 秒 (日本時間)
2700Youcef LemsaferJanuary 25, 2021 11:07:53 UTC 2021 年 1 月 25 日 (月) 20 時 7 分 53 秒 (日本時間)
5043e60 / 6163--
5511e7270 / 17568Youcef LemsaferJanuary 25, 2021 11:07:53 UTC 2021 年 1 月 25 日 (月) 20 時 7 分 53 秒 (日本時間)

112×10287-13

c244

composite cofactor 合成数の残り
4314507197122121218515141381520070039370207421672855123434478040196294128747733770030307367640812458481698431975211412571646376785211165251559928745806866730522733029896734748153334757822496603781232949875827774874883727505228819898144705288031<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferJanuary 19, 2021 08:31:44 UTC 2021 年 1 月 19 日 (火) 17 時 31 分 44 秒 (日本時間)
4511e63000300Youcef LemsaferJanuary 19, 2021 08:31:44 UTC 2021 年 1 月 19 日 (火) 17 時 31 分 44 秒 (日本時間)
2700Youcef LemsaferJanuary 25, 2021 11:08:32 UTC 2021 年 1 月 25 日 (月) 20 時 8 分 32 秒 (日本時間)
5043e60 / 6163--
5511e7270 / 17568Youcef LemsaferJanuary 25, 2021 11:08:32 UTC 2021 年 1 月 25 日 (月) 20 時 8 分 32 秒 (日本時間)

112×10289-13

c245

composite cofactor 合成数の残り
39765756143242976800827250814739741022357259732697107429198386289932605038980977913048336660853802871112173180279912837002794624735654603010253007107156970904170028392893601967592061431706302491795794613413334549228201756448079460998054344905251<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferJanuary 20, 2021 09:11:49 UTC 2021 年 1 月 20 日 (水) 18 時 11 分 49 秒 (日本時間)
4511e63000300Youcef LemsaferJanuary 20, 2021 09:11:49 UTC 2021 年 1 月 20 日 (水) 18 時 11 分 49 秒 (日本時間)
2700Youcef LemsaferJanuary 25, 2021 11:09:00 UTC 2021 年 1 月 25 日 (月) 20 時 9 分 0 秒 (日本時間)
5043e60 / 6163--
5511e7270 / 17568Youcef LemsaferJanuary 25, 2021 11:09:00 UTC 2021 年 1 月 25 日 (月) 20 時 9 分 0 秒 (日本時間)

112×10290-13

c288

composite cofactor 合成数の残り
102792844883761483888139357728278128068871206072120194205053369677946345806143708068320530117385757684224051690116284405774755178648457648430114632377910551869085969694466624448176803693200069752287599695292638380278458474444046734032691795846067714786567177877511311801903503216865368907<288>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e62160Youcef LemsaferApril 30, 2019 07:47:58 UTC 2019 年 4 月 30 日 (火) 16 時 47 分 58 秒 (日本時間)
4511e63000300Youcef LemsaferJanuary 21, 2021 09:15:45 UTC 2021 年 1 月 21 日 (木) 18 時 15 分 45 秒 (日本時間)
2700Youcef LemsaferJanuary 25, 2021 11:09:22 UTC 2021 年 1 月 25 日 (月) 20 時 9 分 22 秒 (日本時間)
5043e60 / 6142--
5511e7270 / 17564Youcef LemsaferJanuary 26, 2021 08:58:27 UTC 2021 年 1 月 26 日 (火) 17 時 58 分 27 秒 (日本時間)

112×10295-13

c237

name 名前Youcef Lemsafer
date 日付January 21, 2021 09:13:05 UTC 2021 年 1 月 21 日 (木) 18 時 13 分 5 秒 (日本時間)
composite number 合成数
150452641997582090226577952447114221771972750633559449507440997733356003267866777073330599825884056979473204383190247446601232287408561483448739388103603957320170996373152398376230603345795562461666189958797634767403451531301894627095581<237>
prime factors 素因数
197906183065526287903627830239429104636339<42>
760222038882774885492396639513332067057646564537799858833228943399352366160473645908451470129887422334072719042811098566234040216005272184232667268270286436526084582524138535401223919315107863279<195>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.1] [ECM]
Tuned for default
Running on ip-*-*-*-*.ec2.internal
Input number is (112*10^295-1)/(3*277483*27201403337*40124928706451*8193226940347958747566739425633) (237 digits)
[Wed Jan 20 19:13:39 2021]
Using MODMULN [mulredc:0, sqrredc:0]
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:4301582847966754486
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 37049ms
Using 28 small primes for NTT
Estimated memory usage: 78.19MB
Initializing tables of differences for F took 29ms
Computing roots of F took 759ms
Building F from its roots took 1156ms
Computing 1/F took 652ms
Initializing table of differences for G took 24ms
Computing roots of G took 678ms
Building G from its roots took 1197ms
Computing roots of G took 678ms
Building G from its roots took 1201ms
Computing G * H took 334ms
Reducing  G * H mod F took 378ms
Computing polyeval(F,G) took 2277ms
Computing product of all F(g_i) took 18ms
Step 2 took 9410ms
********** Factor found in step 2: 197906183065526287903627830239429104636339
Found prime factor of 42 digits: 197906183065526287903627830239429104636339
Prime cofactor ((112*10^295-1)/(3*277483*27201403337*40124928706451*8193226940347958747566739425633))/197906183065526287903627830239429104636339 has 195 digits
execution environment 実行環境
Amazon Linux Graviton2, t4g.micro

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e6554 / 2104Youcef LemsaferJanuary 21, 2021 09:11:19 UTC 2021 年 1 月 21 日 (木) 18 時 11 分 19 秒 (日本時間)

112×10297-13

c250

name 名前Youcef Lemsafer
date 日付January 26, 2021 09:02:14 UTC 2021 年 1 月 26 日 (火) 18 時 2 分 14 秒 (日本時間)
composite number 合成数
2864955446093704697196334834452592061735289056709060557144899219262992880580384804580341524446266811701546168645498196936639264234835420906919184609459293924456279703540074816088490800086786884303217827695424506823783716149444955474339579755889188277<250>
prime factors 素因数
39552156018907059621656982820157150002913<41>
composite cofactor 合成数の残り
72434874213283700938036246688833740717813655093880317751310089163889989091672891617908437018505710416920873817038109135245228815378383329768260249090591774949460250409273857088754655421744309312517506044812629<209>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
Input number is (112*10^297-1)/(3*37*6619*58511*19122595218977*47555465544791548957746169) (250 digits)
[Mon Jan 25 18:56:09 2021]
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=0:522722432789960411
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 86611ms
********** Factor found in step 1: 39552156018907059621656982820157150002913
Found prime factor of 41 digits: 39552156018907059621656982820157150002913
Composite cofactor ((112*10^297-1)/(3*37*6619*58511*19122595218977*47555465544791548957746169))/39552156018907059621656982820157150002913 has 209 digits
execution environment 実行環境
Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz, 64GB RAM, Debian 10.7

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferJanuary 21, 2021 09:17:31 UTC 2021 年 1 月 21 日 (木) 18 時 17 分 31 秒 (日本時間)
4511e63000300Youcef LemsaferJanuary 21, 2021 18:01:48 UTC 2021 年 1 月 22 日 (金) 3 時 1 分 48 秒 (日本時間)
2700Youcef LemsaferJanuary 26, 2021 08:59:00 UTC 2021 年 1 月 26 日 (火) 17 時 59 分 0 秒 (日本時間)
5043e60 / 6163--
5511e7270 / 17568Youcef LemsaferJanuary 26, 2021 08:59:00 UTC 2021 年 1 月 26 日 (火) 17 時 59 分 0 秒 (日本時間)

112×10298-13

c200

composite cofactor 合成数の残り
44855288980694728890468936715526683741435232310233762546354095303385235999347929361386963781210541138595103289231473160678682261372929312963426968803487161443354460821354148898070163560089875127840167<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovMay 22, 2017 14:31:54 UTC 2017 年 5 月 22 日 (月) 23 時 31 分 54 秒 (日本時間)
4511e61270600Dmitry DomanovMay 24, 2017 14:43:08 UTC 2017 年 5 月 24 日 (水) 23 時 43 分 8 秒 (日本時間)
600Dmitry DomanovMay 24, 2017 14:43:11 UTC 2017 年 5 月 24 日 (水) 23 時 43 分 11 秒 (日本時間)
70Serge BatalovMay 24, 2017 23:32:25 UTC 2017 年 5 月 25 日 (木) 8 時 32 分 25 秒 (日本時間)
5043e60--
5511e7317 / 9659Serge BatalovMay 24, 2017 23:32:25 UTC 2017 年 5 月 25 日 (木) 8 時 32 分 25 秒 (日本時間)
6026e73450 / 41876250Serge BatalovMay 24, 2017 23:32:25 UTC 2017 年 5 月 25 日 (木) 8 時 32 分 25 秒 (日本時間)
2000Serge BatalovMay 24, 2017 23:51:27 UTC 2017 年 5 月 25 日 (木) 8 時 51 分 27 秒 (日本時間)
1200Serge BatalovMay 27, 2017 01:44:40 UTC 2017 年 5 月 27 日 (土) 10 時 44 分 40 秒 (日本時間)

112×10299-13

c244

composite cofactor 合成数の残り
1901484501676644521898039167816408440389472744775802693948416066526449132196760665950387995472395053512963711816424133058541082890526912404299708866655479551429290658658604765202506362202198658177327239444906587193977735679501881660283851624151<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferJanuary 22, 2021 08:49:28 UTC 2021 年 1 月 22 日 (金) 17 時 49 分 28 秒 (日本時間)
4511e63000300Youcef LemsaferJanuary 22, 2021 08:49:28 UTC 2021 年 1 月 22 日 (金) 17 時 49 分 28 秒 (日本時間)
2700Youcef LemsaferJanuary 27, 2021 09:39:33 UTC 2021 年 1 月 27 日 (水) 18 時 39 分 33 秒 (日本時間)
5043e60 / 6163--
5511e7270 / 17568Youcef LemsaferJanuary 27, 2021 09:39:33 UTC 2021 年 1 月 27 日 (水) 18 時 39 分 33 秒 (日本時間)