Table of contents 目次

7×10112-1879

c109

name 名前KTakahashi
date 日付January 8, 2015 13:38:11 UTC 2015 年 1 月 8 日 (木) 22 時 38 分 11 秒 (日本時間)
composite number 合成数
2788733516592964423728138321182423011035416915660730648181347356679016772240149794828891279231903111429823513<109>
prime factors 素因数
6026881446773931982099269264587<31>
51039169242319590479082079190651949361<38>
9065896795731978866073496491311423724059<40>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM]
Input number is 2788733516592964423728138321182423011035416915660730648181347356679016772240149794828891279231903111429823513 (109 digits)
Using B1=250000, B2=128992510, polynomial Dickson(3), sigma=160078919
Step 1 took 749ms
Step 2 took 453ms
********** Factor found in step 2: 6026881446773931982099269264587
Found probable prime factor of 31 digits: 6026881446773931982099269264587
Composite cofactor 462715840890767346917349109183691025478378087660898783947824770981110505376299 has 78 digits

Msieve v. 1.51 (SVN Official Release)
Sun Dec 21 13:00:44 2014
random seeds: 3a8d0ddc e1d5646b
factoring 462715840890767346917349109183691025478378087660898783947824770981110505376299 (78 digits)
searching for 15-digit factors
commencing quadratic sieve (78-digit input)
using multiplier of 11
using VC8 64kb sieve core
sieve interval: 6 blocks of size 65536
processing polynomials in batches of 17
using a sieve bound of 998077 (39176 primes)
using large prime bound of 99807700 (26 bits)
using trial factoring cutoff of 27 bits
polynomial 'A' values have 10 factors
39574 relations (20370 full + 19204 combined from 214577 partial), need 39272
begin with 234947 relations
reduce to 56350 relations in 2 passes
attempting to read 56350 relations
recovered 56350 relations
recovered 45156 polynomials
attempting to build 39574 cycles
found 39574 cycles in 1 passes
distribution of cycle lengths:
   length 1 : 20370
   length 2 : 19204
largest cycle: 2 relations
matrix is 39176 x 39574 (5.7 MB) with weight 1179608 (29.81/col)
sparse part has weight 1179608 (29.81/col)
filtering completed in 4 passes
matrix is 27744 x 27808 (4.3 MB) with weight 912006 (32.80/col)
sparse part has weight 912006 (32.80/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 27696 x 27808 (2.5 MB) with weight 606474 (21.81/col)
sparse part has weight 384484 (13.83/col)
commencing Lanczos iteration
memory use: 2.6 MB
lanczos halted after 439 iterations (dim = 27695)
recovered 17 nontrivial dependencies
prp38 factor: 51039169242319590479082079190651949361
prp40 factor: 9065896795731978866073496491311423724059
elapsed time 00:05:35

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

7×10115-1879

c96

name 名前KTakahashi
date 日付January 8, 2015 13:43:30 UTC 2015 年 1 月 8 日 (木) 22 時 43 分 30 秒 (日本時間)
composite number 合成数
222777758154430698922934597654081997612224295911066082536852585053544493037500697995828045186271<96>
prime factors 素因数
7612459338549544335158994506039273677<37>
29264886450858615588547927085939476297915356299146535212123<59>
factorization results 素因数分解の結果
Number: 77757_115
N=222777758154430698922934597654081997612224295911066082536852585053544493037500697995828045186271
  ( 96 digits)
SNFS difficulty: 115 digits.
Divisors found:
 r1=7612459338549544335158994506039273677 (pp37)
 r2=29264886450858615588547927085939476297915356299146535212123 (pp59)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.80 hours.
Scaled time: 3.04 units (timescale=1.687).
Factorization parameters were as follows:
n: 222777758154430698922934597654081997612224295911066082536852585053544493037500697995828045186271
m: 100000000000000000000000
c5: 7
c0: -187
skew: 1.93
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, 550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 79783 x 80009
Total sieving time: 1.76 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,115.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.80 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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

7×10127-1879

c124

name 名前KTakahashi
date 日付January 8, 2015 14:35:23 UTC 2015 年 1 月 8 日 (木) 23 時 35 分 23 秒 (日本時間)
composite number 合成数
7573298712539218868332792383425294817699880991020231526560640484691117602510007573298712539218868332792383425294817699880991<124>
prime factors 素因数
5351517178872478853869796725505961081003987013045332671<55>
1415168532474906735520616794318462056034582895865731236564475514421921<70>
factorization results 素因数分解の結果
Number: 77757_127
N=7573298712539218868332792383425294817699880991020231526560640484691117602510007573298712539218868332792383425294817699880991
  ( 124 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=5351517178872478853869796725505961081003987013045332671 (pp55)
 r2=1415168532474906735520616794318462056034582895865731236564475514421921 (pp70)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 3.24 hours.
Scaled time: 5.62 units (timescale=1.737).
Factorization parameters were as follows:
n: 7573298712539218868332792383425294817699880991020231526560640484691117602510007573298712539218868332792383425294817699880991
m: 10000000000000000000000000
c5: 700
c0: -187
skew: 0.77
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, 1000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 124626 x 124851
Total sieving time: 3.17 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,127.000,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 3.24 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 14:34:49 UTC 2015 年 1 月 8 日 (木) 23 時 34 分 49 秒 (日本時間)

7×10133-1879

c103

name 名前KTakahashi
date 日付January 8, 2015 15:31:24 UTC 2015 年 1 月 9 日 (金) 0 時 31 分 24 秒 (日本時間)
composite number 合成数
2361941808117503028599243434684916896427056827092369887541566606251119968165732692349823633465282275673<103>
prime factors 素因数
777437485042472986119119207407<30>
3038111556954917550203231554065680571686383064742839618960212973867632439<73>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0] [P-1]
Input number is 2361941808117503028599243434684916896427056827092369887541566606251119968165732692349823633465282275673 (103 digits)
Using B1=40000000, B2=2972309788, polynomial x^1, x0=2270268000
Step 1 took 8487ms
Step 2 took 1060ms
********** Factor found in step 2: 777437485042472986119119207407
Found probable prime factor of 30 digits: 777437485042472986119119207407
Probable prime cofactor 3038111556954917550203231554065680571686383064742839618960212973867632439 has 73 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

7×10140-1879

c100

name 名前KTakahashi
date 日付January 8, 2015 15:35:00 UTC 2015 年 1 月 9 日 (金) 0 時 35 分 0 秒 (日本時間)
composite number 合成数
3155018738836508115632293472035575540694694775526110647698550268225553893349361977637068286460619043<100>
prime factors 素因数
1876197044105090820179647427889586234710473291<46>
1681603085746993143719352316036423894584562728296596873<55>
factorization results 素因数分解の結果
// GNFS法の方がSNFS法よりも速いかもしれないとのことですが、SNFS法で分解しました。
// It is said that GNFS may be faster than SNFS to factore this number, but I factored it with SNFS.

Number: 77757_140
N=3155018738836508115632293472035575540694694775526110647698550268225553893349361977637068286460619043
  ( 100 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=1876197044105090820179647427889586234710473291 (pp46)
 r2=1681603085746993143719352316036423894584562728296596873 (pp55)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 6.54 hours.
Scaled time: 11.42 units (timescale=1.747).
Factorization parameters were as follows:
n: 3155018738836508115632293472035575540694694775526110647698550268225553893349361977637068286460619043
m: 10000000000000000000000000000
c5: 7
c0: -187
skew: 1.93
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved rational special-q in [650000, 1650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 202507 x 202732
Total sieving time: 6.38 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,140.000,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 6.54 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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 15:32:04 UTC 2015 年 1 月 9 日 (金) 0 時 32 分 4 秒 (日本時間)

7×10143-1879

c117

name 名前KTakahashi
date 日付January 8, 2015 15:35:50 UTC 2015 年 1 月 9 日 (金) 0 時 35 分 50 秒 (日本時間)
composite number 合成数
226902612367536431155564957888035725288729497292093661629082887850529085156532249459335391503294225809952326964678777<117>
prime factors 素因数
16566739403085347381750407143555871483<38>
13696274616674338833824731094927020928663654925628815931637898151319487813128219<80>
factorization results 素因数分解の結果
Input number is 226902612367536431155564957888035725288729497292093661629082887850529085156532249459335391503294225809952326964678777 (117 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4247829970
Step 1 took 2886ms
Step 2 took 858ms
********** Factor found in step 2: 16566739403085347381750407143555871483
Found probable prime factor of 38 digits: 16566739403085347381750407143555871483
Probable prime cofactor 13696274616674338833824731094927020928663654925628815931637898151319487813128219 has 80 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

7×10145-1879

c129

name 名前KTakahashi
date 日付January 8, 2015 15:36:41 UTC 2015 年 1 月 9 日 (金) 0 時 36 分 41 秒 (日本時間)
composite number 合成数
415139604258717804107584616335364874390111468427928547036584442450454939430977846609017295025148847403554226978647849694770829453<129>
prime factors 素因数
3774576322311865523163395954478182545416947341<46>
109983099773288374683355008438214531084510131134714241103196197932520715934583839233<84>
factorization results 素因数分解の結果
Number: 77757_145
N=415139604258717804107584616335364874390111468427928547036584442450454939430977846609017295025148847403554226978647849694770829453
  ( 129 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=3774576322311865523163395954478182545416947341 (pp46)
 r2=109983099773288374683355008438214531084510131134714241103196197932520715934583839233 (pp84)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 10.65 hours.
Scaled time: 18.55 units (timescale=1.742).
Factorization parameters were as follows:
n: 415139604258717804107584616335364874390111468427928547036584442450454939430977846609017295025148847403554226978647849694770829453
m: 100000000000000000000000000000
c5: 7
c0: -187
skew: 1.93
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved rational special-q in [650000, 2350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 239571 x 239814
Total sieving time: 10.40 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.19 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,145.000,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 10.65 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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 15:36:04 UTC 2015 年 1 月 9 日 (金) 0 時 36 分 4 秒 (日本時間)

7×10153-1879

c96

name 名前KTakahashi
date 日付January 8, 2015 16:49:47 UTC 2015 年 1 月 9 日 (金) 1 時 49 分 47 秒 (日本時間)
composite number 合成数
547115419094167109147282904665749514552569861345603251065108981372666327177271175843773802257133<96>
prime factors 素因数
50506204454697105356604300922323887<35>
10832637791757188124031878833217298331955393720196527152039459<62>
factorization results 素因数分解の結果
Number: 77757_153
N=547115419094167109147282904665749514552569861345603251065108981372666327177271175843773802257133
  ( 96 digits)
Divisors found:
 r1=50506204454697105356604300922323887 (pp35)
 r2=10832637791757188124031878833217298331955393720196527152039459 (pp62)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 5.96 hours.
Scaled time: 10.35 units (timescale=1.737).
Factorization parameters were as follows:
name: 77757_153
n:  547115419094167109147282904665749514552569861345603251065108981372666327177271175843773802257133
m:  10579460438231534289288
deg: 4
c4: 43674192
c3: 314025929338
c2: 240647120160916805
c1: -1066447178820748744
c0: -33779517310884905273363
skew: 1635.250
type: gnfs
# adj. I(F,S) = 55.304
# E(F1,F2) = 2.871304e-005
# GGNFS version 0.77.1-VC8(Sat 01/17/2009) polyselect.
# Options were: 
# lcd=1, enumLCD=24, maxS1=60.00000000, seed=1420413007.
# maxskew=2000.0
# These parameters should be manually set:
rlim: 1200000
alim: 1200000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.4
alambda: 2.4
qintsize: 60000

type: gnfs
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [600000, 1440001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 171655 x 171880
Polynomial selection time: 0.17 hours.
Total sieving time: 5.64 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
gnfs,95,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 5.96 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 16:49:16 UTC 2015 年 1 月 9 日 (金) 1 時 49 分 16 秒 (日本時間)

7×10154-1879

c147

name 名前Cyp
date 日付January 13, 2015 07:12:02 UTC 2015 年 1 月 13 日 (火) 16 時 12 分 2 秒 (日本時間)
composite number 合成数
235882751755479033169033920253089522360106136859448888323848605826621399149123063916916730183994645623283323258275542817347800184246669494766070071<147>
prime factors 素因数
398849113190655261857189050903003868716090727158495602008179505624779<69>
591408489963782099849935685455664800262786082616830831917357388808719005982149<78>
factorization results 素因数分解の結果
01/13/15 05:40:17 v1.34.3, 
01/13/15 05:40:17 v1.34.3, ****************************
01/13/15 05:40:17 v1.34.3, Starting factorization of 235882751755479033169033920253089522360106136859448888323848605826621399149123063916916730183994645623283323258275542817347800184246669494766070071
01/13/15 05:40:17 v1.34.3, using pretesting plan: none
01/13/15 05:40:17 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/13/15 05:40:17 v1.34.3, ****************************
01/13/15 05:40:17 v1.34.3, nfs: commencing nfs on c147: 235882751755479033169033920253089522360106136859448888323848605826621399149123063916916730183994645623283323258275542817347800184246669494766070071
01/13/15 05:40:17 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/13/15 05:40:17 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/13/15 05:44:33 v1.34.3, nfs: commencing lattice sieving with 8 threads
[30 lines snipped]
01/13/15 07:57:31 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/13/15 08:01:55 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/13/15 08:06:14 v1.34.3, nfs: commencing msieve filtering
01/13/15 08:08:00 v1.34.3, nfs: commencing msieve linear algebra
01/13/15 08:11:32 v1.34.3, nfs: commencing msieve sqrt
01/13/15 08:12:01 v1.34.3, prp69 = 398849113190655261857189050903003868716090727158495602008179505624779
01/13/15 08:12:01 v1.34.3, prp78 = 591408489963782099849935685455664800262786082616830831917357388808719005982149
01/13/15 08:12:01 v1.34.3, NFS elapsed time = 9103.8996 seconds.
01/13/15 08:12:01 v1.34.3, 
01/13/15 08:12:01 v1.34.3, 
01/13/15 08:12:01 v1.34.3, Total factoring time = 9103.9004 seconds
--
Tue Jan 13 08:06:14 2015  
Tue Jan 13 08:06:14 2015  commencing relation filtering
Tue Jan 13 08:06:14 2015  estimated available RAM is 15987.3 MB
Tue Jan 13 08:06:14 2015  commencing duplicate removal, pass 1
Tue Jan 13 08:06:42 2015  found 1342341 hash collisions in 10250138 relations
Tue Jan 13 08:06:50 2015  added 360994 free relations
Tue Jan 13 08:06:50 2015  commencing duplicate removal, pass 2
Tue Jan 13 08:06:58 2015  found 862801 duplicates and 9748331 unique relations
Tue Jan 13 08:06:58 2015  memory use: 41.3 MB
Tue Jan 13 08:06:58 2015  reading ideals above 100000
Tue Jan 13 08:06:58 2015  commencing singleton removal, initial pass
Tue Jan 13 08:07:41 2015  memory use: 188.2 MB
Tue Jan 13 08:07:41 2015  reading all ideals from disk
Tue Jan 13 08:07:42 2015  memory use: 335.6 MB
Tue Jan 13 08:07:42 2015  keeping 9768726 ideals with weight <= 200, target excess is 52392
Tue Jan 13 08:07:42 2015  commencing in-memory singleton removal
Tue Jan 13 08:07:43 2015  begin with 9748331 relations and 9768726 unique ideals
Tue Jan 13 08:07:45 2015  reduce to 4857684 relations and 3787061 ideals in 11 passes
Tue Jan 13 08:07:45 2015  max relations containing the same ideal: 129
Tue Jan 13 08:07:47 2015  removing 1286477 relations and 886477 ideals in 400000 cliques
Tue Jan 13 08:07:47 2015  commencing in-memory singleton removal
Tue Jan 13 08:07:47 2015  begin with 3571207 relations and 3787061 unique ideals
Tue Jan 13 08:07:48 2015  reduce to 3352921 relations and 2660773 ideals in 8 passes
Tue Jan 13 08:07:48 2015  max relations containing the same ideal: 99
Tue Jan 13 08:07:49 2015  removing 1088418 relations and 688418 ideals in 400000 cliques
Tue Jan 13 08:07:49 2015  commencing in-memory singleton removal
Tue Jan 13 08:07:49 2015  begin with 2264503 relations and 2660773 unique ideals
Tue Jan 13 08:07:50 2015  reduce to 2076362 relations and 1763112 ideals in 9 passes
Tue Jan 13 08:07:50 2015  max relations containing the same ideal: 73
Tue Jan 13 08:07:50 2015  removing 701941 relations and 449466 ideals in 252475 cliques
Tue Jan 13 08:07:50 2015  commencing in-memory singleton removal
Tue Jan 13 08:07:50 2015  begin with 1374421 relations and 1763112 unique ideals
Tue Jan 13 08:07:51 2015  reduce to 1232137 relations and 1154912 ideals in 9 passes
Tue Jan 13 08:07:51 2015  max relations containing the same ideal: 50
Tue Jan 13 08:07:51 2015  removing 84288 relations and 67838 ideals in 16450 cliques
Tue Jan 13 08:07:51 2015  commencing in-memory singleton removal
Tue Jan 13 08:07:51 2015  begin with 1147849 relations and 1154912 unique ideals
Tue Jan 13 08:07:51 2015  reduce to 1142881 relations and 1082035 ideals in 6 passes
Tue Jan 13 08:07:51 2015  max relations containing the same ideal: 47
Tue Jan 13 08:07:51 2015  relations with 0 large ideals: 1211
Tue Jan 13 08:07:51 2015  relations with 1 large ideals: 753
Tue Jan 13 08:07:51 2015  relations with 2 large ideals: 11019
Tue Jan 13 08:07:51 2015  relations with 3 large ideals: 65082
Tue Jan 13 08:07:51 2015  relations with 4 large ideals: 192226
Tue Jan 13 08:07:51 2015  relations with 5 large ideals: 315238
Tue Jan 13 08:07:51 2015  relations with 6 large ideals: 314143
Tue Jan 13 08:07:51 2015  relations with 7+ large ideals: 243209
Tue Jan 13 08:07:51 2015  commencing 2-way merge
Tue Jan 13 08:07:52 2015  reduce to 717033 relation sets and 656187 unique ideals
Tue Jan 13 08:07:52 2015  commencing full merge
Tue Jan 13 08:07:57 2015  memory use: 84.0 MB
Tue Jan 13 08:07:58 2015  found 368515 cycles, need 360387
Tue Jan 13 08:07:58 2015  weight of 360387 cycles is about 25449604 (70.62/cycle)
Tue Jan 13 08:07:58 2015  distribution of cycle lengths:
Tue Jan 13 08:07:58 2015  1 relations: 31170
Tue Jan 13 08:07:58 2015  2 relations: 34569
Tue Jan 13 08:07:58 2015  3 relations: 38409
Tue Jan 13 08:07:58 2015  4 relations: 38628
Tue Jan 13 08:07:58 2015  5 relations: 38150
Tue Jan 13 08:07:58 2015  6 relations: 34843
Tue Jan 13 08:07:58 2015  7 relations: 31069
Tue Jan 13 08:07:58 2015  8 relations: 26108
Tue Jan 13 08:07:58 2015  9 relations: 21674
Tue Jan 13 08:07:58 2015  10+ relations: 65767
Tue Jan 13 08:07:58 2015  heaviest cycle: 19 relations
Tue Jan 13 08:07:58 2015  commencing cycle optimization
Tue Jan 13 08:07:58 2015  start with 2185401 relations
Tue Jan 13 08:08:00 2015  pruned 69250 relations
Tue Jan 13 08:08:00 2015  memory use: 68.9 MB
Tue Jan 13 08:08:00 2015  distribution of cycle lengths:
Tue Jan 13 08:08:00 2015  1 relations: 31170
Tue Jan 13 08:08:00 2015  2 relations: 35355
Tue Jan 13 08:08:00 2015  3 relations: 39786
Tue Jan 13 08:08:00 2015  4 relations: 39995
Tue Jan 13 08:08:00 2015  5 relations: 39797
Tue Jan 13 08:08:00 2015  6 relations: 36082
Tue Jan 13 08:08:00 2015  7 relations: 31913
Tue Jan 13 08:08:00 2015  8 relations: 26416
Tue Jan 13 08:08:00 2015  9 relations: 21593
Tue Jan 13 08:08:00 2015  10+ relations: 58280
Tue Jan 13 08:08:00 2015  heaviest cycle: 19 relations
Tue Jan 13 08:08:00 2015  RelProcTime: 106
Tue Jan 13 08:08:00 2015  
Tue Jan 13 08:08:00 2015  commencing linear algebra
Tue Jan 13 08:08:00 2015  read 360387 cycles
Tue Jan 13 08:08:00 2015  cycles contain 1108031 unique relations
Tue Jan 13 08:08:09 2015  read 1108031 relations
Tue Jan 13 08:08:10 2015  using 20 quadratic characters above 134205554
Tue Jan 13 08:08:13 2015  building initial matrix
Tue Jan 13 08:08:19 2015  memory use: 138.9 MB
Tue Jan 13 08:08:19 2015  read 360387 cycles
Tue Jan 13 08:08:19 2015  matrix is 360210 x 360387 (107.6 MB) with weight 32225223 (89.42/col)
Tue Jan 13 08:08:19 2015  sparse part has weight 24236485 (67.25/col)
Tue Jan 13 08:08:20 2015  filtering completed in 2 passes
Tue Jan 13 08:08:20 2015  matrix is 360069 x 360246 (107.6 MB) with weight 32220120 (89.44/col)
Tue Jan 13 08:08:20 2015  sparse part has weight 24234423 (67.27/col)
Tue Jan 13 08:08:21 2015  matrix starts at (0, 0)
Tue Jan 13 08:08:21 2015  matrix is 360069 x 360246 (107.6 MB) with weight 32220120 (89.44/col)
Tue Jan 13 08:08:21 2015  sparse part has weight 24234423 (67.27/col)
Tue Jan 13 08:08:21 2015  saving the first 48 matrix rows for later
Tue Jan 13 08:08:21 2015  matrix includes 64 packed rows
Tue Jan 13 08:08:21 2015  matrix is 360021 x 360246 (101.7 MB) with weight 25522703 (70.85/col)
Tue Jan 13 08:08:21 2015  sparse part has weight 23065859 (64.03/col)
Tue Jan 13 08:08:21 2015  using block size 65536 for processor cache size 8192 kB
Tue Jan 13 08:08:22 2015  commencing Lanczos iteration (8 threads)
Tue Jan 13 08:08:22 2015  memory use: 97.8 MB
Tue Jan 13 08:08:28 2015  linear algebra at 3.4%, ETA 0h 2m
Tue Jan 13 08:11:32 2015  lanczos halted after 5694 iterations (dim = 360019)
Tue Jan 13 08:11:32 2015  recovered 36 nontrivial dependencies
Tue Jan 13 08:11:32 2015  BLanczosTime: 212
Tue Jan 13 08:11:32 2015  
Tue Jan 13 08:11:32 2015  commencing square root phase
Tue Jan 13 08:11:32 2015  reading relations for dependency 1
Tue Jan 13 08:11:32 2015  read 179850 cycles
Tue Jan 13 08:11:32 2015  cycles contain 553898 unique relations
Tue Jan 13 08:11:40 2015  read 553898 relations
Tue Jan 13 08:11:41 2015  multiplying 553898 relations
Tue Jan 13 08:11:50 2015  multiply complete, coefficients have about 15.68 million bits
Tue Jan 13 08:11:50 2015  initial square root is modulo 1015389371
Tue Jan 13 08:12:01 2015  sqrtTime: 29
--
n: 235882751755479033169033920253089522360106136859448888323848605826621399149123063916916730183994645623283323258275542817347800184246669494766070071
m: 5000000000000000000000000000000
deg: 5
c5: 112
c0: -935
skew: 1.53
# Murphy_E = 7.313e-10
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 16:49:59 UTC 2015 年 1 月 9 日 (金) 1 時 49 分 59 秒 (日本時間)
403e6300 / 2104Serge BatalovJanuary 9, 2015 00:06:45 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 45 秒 (日本時間)

7×10159-1879

c147

name 名前Jo Yeong Uk
date 日付January 21, 2015 11:56:27 UTC 2015 年 1 月 21 日 (水) 20 時 56 分 27 秒 (日本時間)
composite number 合成数
162767393010662584496399974798587657432087018350618558024438096101142490222353458029481257490947066642808243247312909781437427809440714651920995449<147>
prime factors 素因数
3249856748996161418792082249352998549023<40>
50084482357857564093261864250554850211935103524563365396707238280840772129321075082720914338933152194409063<107>
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 162767393010662584496399974798587657432087018350618558024438096101142490222353458029481257490947066642808243247312909781437427809440714651920995449 (147 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=7786657073
Step 1 took 6781ms
Step 2 took 2649ms
********** Factor found in step 2: 3249856748996161418792082249352998549023
Found probable prime factor of 40 digits: 3249856748996161418792082249352998549023
Probable prime cofactor 50084482357857564093261864250554850211935103524563365396707238280840772129321075082720914338933152194409063 has 107 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
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 16:50:15 UTC 2015 年 1 月 9 日 (金) 1 時 50 分 15 秒 (日本時間)
403e6300 / 2104Serge BatalovJanuary 9, 2015 00:06:46 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 46 秒 (日本時間)

7×10161-1879

c143

name 名前Jo Yeong Uk
date 日付February 1, 2015 01:08:31 UTC 2015 年 2 月 1 日 (日) 10 時 8 分 31 秒 (日本時間)
composite number 合成数
57188758639273545541121731988546896989489021351042702957095153315297576872732500122603812292303732899187654189823067350971197726371222195317269<143>
prime factors 素因数
245709443322743592373105360704863990497707930276307<51>
232749534840446179122008290521828072015250514282715981125764394661572090510116796921626082167<93>
factorization results 素因数分解の結果
Number: 77757_162
N=57188758639273545541121731988546896989489021351042702957095153315297576872732500122603812292303732899187654189823067350971197726371222195317269
  ( 143 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=245709443322743592373105360704863990497707930276307
 r2=232749534840446179122008290521828072015250514282715981125764394661572090510116796921626082167
Version: 
Total time: 11.93 hours.
Scaled time: 62.40 units (timescale=5.233).
Factorization parameters were as follows:
n: 57188758639273545541121731988546896989489021351042702957095153315297576872732500122603812292303732899187654189823067350971197726371222195317269
m: 100000000000000000000000000000000
deg: 5
c5: 70
c0: -187
skew: 1.22
# Murphy_E = 4.081e-10
type: snfs
lss: 1
rlim: 3450000
alim: 3450000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3450000/3450000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1725000, 3450001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9426299
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 726250 x 726498
Total sieving time: 10.87 hours.
Total relation processing time: 0.51 hours.
Matrix solve time: 0.51 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3450000,3450000,27,27,51,51,2.4,2.4,75000
total time: 11.93 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.88 BogoMIPS (lpj=3399941)
Total of 12 processors activated (81598.58 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 16:50:36 UTC 2015 年 1 月 9 日 (金) 1 時 50 分 36 秒 (日本時間)
403e6300 / 2104Serge BatalovJanuary 9, 2015 00:06:46 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 46 秒 (日本時間)

7×10164-1879

c134

name 名前KTakahashi
date 日付January 8, 2015 16:52:19 UTC 2015 年 1 月 9 日 (金) 1 時 52 分 19 秒 (日本時間)
composite number 合成数
43690971128604228711153102552140047898758488962790183881707823295133974067929326812324820432093662757051399290611673426763142023379683<134>
prime factors 素因数
37179621957846443606430084110542207780307<41>
1175132204898162503648583436043371039189824095823434853843574588960714663300064763554618555569<94>
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 43690971128604228711153102552140047898758488962790183881707823295133974067929326812324820432093662757051399290611673426763142023379683 (134 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3920650887
Step 1 took 3011ms
Step 2 took 1950ms
********** Factor found in step 2: 37179621957846443606430084110542207780307
Found probable prime factor of 41 digits: 37179621957846443606430084110542207780307
Probable prime cofactor 1175132204898162503648583436043371039189824095823434853843574588960714663300064763554618555569 has 94 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

7×10168-1879

c123

name 名前Jo Yeong Uk
date 日付March 31, 2015 10:27:19 UTC 2015 年 3 月 31 日 (火) 19 時 27 分 19 秒 (日本時間)
composite number 合成数
157932436446512572842591936013463233730414485111795429853909248415538747779744463551642255151412206754553716453636975953989<123>
prime factors 素因数
10904951451313669903101280570798175071103525008861<50>
14482635447908130809430361166376538092456292322768332795686071637396371849<74>
factorization results 素因数分解の結果
Number: 77757_168
N=157932436446512572842591936013463233730414485111795429853909248415538747779744463551642255151412206754553716453636975953989
  ( 123 digits)
SNFS difficulty: 169 digits.
Divisors found:
 r1=10904951451313669903101280570798175071103525008861
 r2=14482635447908130809430361166376538092456292322768332795686071637396371849
Version: 
Total time: 25.23 hours.
Scaled time: 132.19 units (timescale=5.239).
Factorization parameters were as follows:
n: 157932436446512572842591936013463233730414485111795429853909248415538747779744463551642255151412206754553716453636975953989
m: 2000000000000000000000000000000000
deg: 5
c5: 875
c0: -748
skew: 0.97
# Murphy_E = 1.868e-10
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2800000, 6100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 11342328
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 989936 x 990183
Total sieving time: 23.09 hours.
Total relation processing time: 0.93 hours.
Matrix solve time: 1.00 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,169,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
total time: 25.23 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.24 BogoMIPS (lpj=3400120)
Total of 12 processors activated (81602.88 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 16:52:31 UTC 2015 年 1 月 9 日 (金) 1 時 52 分 31 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:06:47 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 47 秒 (日本時間)
4511e6600 / 3559Pierre JammesJanuary 22, 2015 21:12:35 UTC 2015 年 1 月 23 日 (金) 6 時 12 分 35 秒 (日本時間)
5043e6232 / 7402Pierre JammesMarch 18, 2015 06:43:24 UTC 2015 年 3 月 18 日 (水) 15 時 43 分 24 秒 (日本時間)

7×10170-1879

c159

name 名前Cyp
date 日付April 7, 2015 12:29:08 UTC 2015 年 4 月 7 日 (火) 21 時 29 分 8 秒 (日本時間)
composite number 合成数
476393240107593811570271263154863312477174520197548428446068027440604840821535430927510980496972063540278606333329732258456192198990198063716111285581019175587<159>
prime factors 素因数
3051744203226524713351259291772124444692873781<46>
49864333236405660683567141284597362673090475437<47>
3130599026113128390669114378402028491255822889846180938220545867571<67>
factorization results 素因数分解の結果
04/07/15 08:05:48 v1.34.3, 
04/07/15 08:05:48 v1.34.3, ****************************
04/07/15 08:05:48 v1.34.3, Starting factorization of 476393240107593811570271263154863312477174520197548428446068027440604840821535430927510980496972063540278606333329732258456192198990198063716111285581019175587
04/07/15 08:05:48 v1.34.3, using pretesting plan: none
04/07/15 08:05:48 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
04/07/15 08:05:48 v1.34.3, ****************************
04/07/15 08:05:48 v1.34.3, nfs: commencing nfs on c159: 476393240107593811570271263154863312477174520197548428446068027440604840821535430927510980496972063540278606333329732258456192198990198063716111285581019175587
04/07/15 08:05:48 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
04/07/15 08:05:48 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/07/15 08:10:37 v1.34.3, nfs: commencing lattice sieving with 8 threads
[63 lines snipped]
04/07/15 13:21:22 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/07/15 13:26:20 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/07/15 13:31:14 v1.34.3, nfs: commencing msieve filtering
04/07/15 13:32:46 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/07/15 13:37:40 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/07/15 13:42:34 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/07/15 13:47:33 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/07/15 13:52:32 v1.34.3, nfs: commencing msieve filtering
04/07/15 13:54:47 v1.34.3, nfs: commencing msieve linear algebra
04/07/15 14:20:54 v1.34.3, nfs: commencing msieve sqrt
04/07/15 14:28:56 v1.34.3, prp46 = 3051744203226524713351259291772124444692873781
04/07/15 14:28:56 v1.34.3, prp67 = 3130599026113128390669114378402028491255822889846180938220545867571
04/07/15 14:28:56 v1.34.3, prp47 = 49864333236405660683567141284597362673090475437
04/07/15 14:28:56 v1.34.3, NFS elapsed time = 22988.2750 seconds.
04/07/15 14:28:56 v1.34.3, 
04/07/15 14:28:56 v1.34.3, 
04/07/15 14:28:56 v1.34.3, Total factoring time = 22988.2870 seconds
--
Tue Apr  7 13:31:14 2015  
Tue Apr  7 13:31:14 2015  commencing relation filtering
Tue Apr  7 13:31:14 2015  estimated available RAM is 15987.3 MB
Tue Apr  7 13:31:14 2015  commencing duplicate removal, pass 1
Tue Apr  7 13:31:41 2015  found 1344357 hash collisions in 10051825 relations
Tue Apr  7 13:31:50 2015  added 371248 free relations
Tue Apr  7 13:31:50 2015  commencing duplicate removal, pass 2
Tue Apr  7 13:31:59 2015  found 901299 duplicates and 9521774 unique relations
Tue Apr  7 13:31:59 2015  memory use: 41.3 MB
Tue Apr  7 13:31:59 2015  reading ideals above 100000
Tue Apr  7 13:31:59 2015  commencing singleton removal, initial pass
Tue Apr  7 13:32:41 2015  memory use: 344.5 MB
Tue Apr  7 13:32:41 2015  reading all ideals from disk
Tue Apr  7 13:32:41 2015  memory use: 346.6 MB
Tue Apr  7 13:32:41 2015  keeping 10887297 ideals with weight <= 200, target excess is 49056
Tue Apr  7 13:32:42 2015  commencing in-memory singleton removal
Tue Apr  7 13:32:42 2015  begin with 9521774 relations and 10887297 unique ideals
Tue Apr  7 13:32:46 2015  reduce to 3395991 relations and 3443401 ideals in 20 passes
Tue Apr  7 13:32:46 2015  max relations containing the same ideal: 104
Tue Apr  7 13:52:32 2015  
Tue Apr  7 13:52:32 2015  commencing relation filtering
Tue Apr  7 13:52:32 2015  estimated available RAM is 15987.3 MB
Tue Apr  7 13:52:32 2015  commencing duplicate removal, pass 1
Tue Apr  7 13:53:05 2015  found 1516161 hash collisions in 10987555 relations
Tue Apr  7 13:53:13 2015  added 1231 free relations
Tue Apr  7 13:53:13 2015  commencing duplicate removal, pass 2
Tue Apr  7 13:53:22 2015  found 991008 duplicates and 9997778 unique relations
Tue Apr  7 13:53:22 2015  memory use: 41.3 MB
Tue Apr  7 13:53:22 2015  reading ideals above 100000
Tue Apr  7 13:53:22 2015  commencing singleton removal, initial pass
Tue Apr  7 13:54:06 2015  memory use: 344.5 MB
Tue Apr  7 13:54:06 2015  reading all ideals from disk
Tue Apr  7 13:54:06 2015  memory use: 364.1 MB
Tue Apr  7 13:54:07 2015  keeping 11072687 ideals with weight <= 200, target excess is 51723
Tue Apr  7 13:54:07 2015  commencing in-memory singleton removal
Tue Apr  7 13:54:08 2015  begin with 9997778 relations and 11072687 unique ideals
Tue Apr  7 13:54:12 2015  reduce to 4071165 relations and 3937248 ideals in 22 passes
Tue Apr  7 13:54:12 2015  max relations containing the same ideal: 112
Tue Apr  7 13:54:14 2015  removing 394266 relations and 357307 ideals in 36959 cliques
Tue Apr  7 13:54:14 2015  commencing in-memory singleton removal
Tue Apr  7 13:54:14 2015  begin with 3676899 relations and 3937248 unique ideals
Tue Apr  7 13:54:15 2015  reduce to 3642289 relations and 3544847 ideals in 9 passes
Tue Apr  7 13:54:15 2015  max relations containing the same ideal: 104
Tue Apr  7 13:54:16 2015  removing 289920 relations and 252961 ideals in 36959 cliques
Tue Apr  7 13:54:16 2015  commencing in-memory singleton removal
Tue Apr  7 13:54:16 2015  begin with 3352369 relations and 3544847 unique ideals
Tue Apr  7 13:54:18 2015  reduce to 3331551 relations and 3270871 ideals in 10 passes
Tue Apr  7 13:54:18 2015  max relations containing the same ideal: 99
Tue Apr  7 13:54:19 2015  relations with 0 large ideals: 1159
Tue Apr  7 13:54:19 2015  relations with 1 large ideals: 282
Tue Apr  7 13:54:19 2015  relations with 2 large ideals: 4546
Tue Apr  7 13:54:19 2015  relations with 3 large ideals: 41275
Tue Apr  7 13:54:19 2015  relations with 4 large ideals: 199353
Tue Apr  7 13:54:19 2015  relations with 5 large ideals: 556343
Tue Apr  7 13:54:19 2015  relations with 6 large ideals: 953619
Tue Apr  7 13:54:19 2015  relations with 7+ large ideals: 1574974
Tue Apr  7 13:54:19 2015  commencing 2-way merge
Tue Apr  7 13:54:20 2015  reduce to 1939382 relation sets and 1878702 unique ideals
Tue Apr  7 13:54:20 2015  commencing full merge
Tue Apr  7 13:54:39 2015  memory use: 227.0 MB
Tue Apr  7 13:54:40 2015  found 971831 cycles, need 964902
Tue Apr  7 13:54:40 2015  weight of 964902 cycles is about 67840860 (70.31/cycle)
Tue Apr  7 13:54:40 2015  distribution of cycle lengths:
Tue Apr  7 13:54:40 2015  1 relations: 126462
Tue Apr  7 13:54:40 2015  2 relations: 115678
Tue Apr  7 13:54:40 2015  3 relations: 111662
Tue Apr  7 13:54:40 2015  4 relations: 98538
Tue Apr  7 13:54:40 2015  5 relations: 87452
Tue Apr  7 13:54:40 2015  6 relations: 73427
Tue Apr  7 13:54:40 2015  7 relations: 63708
Tue Apr  7 13:54:40 2015  8 relations: 53738
Tue Apr  7 13:54:40 2015  9 relations: 44716
Tue Apr  7 13:54:40 2015  10+ relations: 189521
Tue Apr  7 13:54:40 2015  heaviest cycle: 25 relations
Tue Apr  7 13:54:40 2015  commencing cycle optimization
Tue Apr  7 13:54:41 2015  start with 5762043 relations
Tue Apr  7 13:54:46 2015  pruned 119881 relations
Tue Apr  7 13:54:46 2015  memory use: 193.2 MB
Tue Apr  7 13:54:46 2015  distribution of cycle lengths:
Tue Apr  7 13:54:46 2015  1 relations: 126462
Tue Apr  7 13:54:46 2015  2 relations: 118044
Tue Apr  7 13:54:46 2015  3 relations: 115004
Tue Apr  7 13:54:46 2015  4 relations: 100424
Tue Apr  7 13:54:46 2015  5 relations: 89032
Tue Apr  7 13:54:46 2015  6 relations: 74048
Tue Apr  7 13:54:46 2015  7 relations: 64076
Tue Apr  7 13:54:46 2015  8 relations: 53608
Tue Apr  7 13:54:46 2015  9 relations: 44205
Tue Apr  7 13:54:46 2015  10+ relations: 179999
Tue Apr  7 13:54:46 2015  heaviest cycle: 25 relations
Tue Apr  7 13:54:47 2015  RelProcTime: 135
Tue Apr  7 13:54:47 2015  
Tue Apr  7 13:54:47 2015  commencing linear algebra
Tue Apr  7 13:54:47 2015  read 964902 cycles
Tue Apr  7 13:54:48 2015  cycles contain 3258520 unique relations
Tue Apr  7 13:55:02 2015  read 3258520 relations
Tue Apr  7 13:55:04 2015  using 20 quadratic characters above 134217618
Tue Apr  7 13:55:14 2015  building initial matrix
Tue Apr  7 13:55:31 2015  memory use: 395.1 MB
Tue Apr  7 13:55:31 2015  read 964902 cycles
Tue Apr  7 13:55:31 2015  matrix is 964723 x 964902 (290.3 MB) with weight 85867500 (88.99/col)
Tue Apr  7 13:55:31 2015  sparse part has weight 65495096 (67.88/col)
Tue Apr  7 13:55:36 2015  filtering completed in 2 passes
Tue Apr  7 13:55:36 2015  matrix is 963476 x 963655 (290.2 MB) with weight 85825973 (89.06/col)
Tue Apr  7 13:55:36 2015  sparse part has weight 65481084 (67.95/col)
Tue Apr  7 13:55:38 2015  matrix starts at (0, 0)
Tue Apr  7 13:55:38 2015  matrix is 963476 x 963655 (290.2 MB) with weight 85825973 (89.06/col)
Tue Apr  7 13:55:38 2015  sparse part has weight 65481084 (67.95/col)
Tue Apr  7 13:55:38 2015  saving the first 48 matrix rows for later
Tue Apr  7 13:55:38 2015  matrix includes 64 packed rows
Tue Apr  7 13:55:38 2015  matrix is 963428 x 963655 (274.5 MB) with weight 67891913 (70.45/col)
Tue Apr  7 13:55:38 2015  sparse part has weight 62309736 (64.66/col)
Tue Apr  7 13:55:38 2015  using block size 65536 for processor cache size 8192 kB
Tue Apr  7 13:55:40 2015  commencing Lanczos iteration (8 threads)
Tue Apr  7 13:55:40 2015  memory use: 267.9 MB
Tue Apr  7 13:55:45 2015  linear algebra at 0.3%, ETA 0h26m
Tue Apr  7 14:20:53 2015  lanczos halted after 15237 iterations (dim = 963424)
Tue Apr  7 14:20:54 2015  recovered 34 nontrivial dependencies
Tue Apr  7 14:20:54 2015  BLanczosTime: 1567
Tue Apr  7 14:20:54 2015  
Tue Apr  7 14:20:54 2015  commencing square root phase
Tue Apr  7 14:20:54 2015  reading relations for dependency 1
Tue Apr  7 14:20:54 2015  read 481943 cycles
Tue Apr  7 14:20:55 2015  cycles contain 1628178 unique relations
Tue Apr  7 14:21:06 2015  read 1628178 relations
Tue Apr  7 14:21:09 2015  multiplying 1628178 relations
Tue Apr  7 14:21:39 2015  multiply complete, coefficients have about 40.83 million bits
Tue Apr  7 14:21:39 2015  initial square root is modulo 729331
Tue Apr  7 14:22:14 2015  GCD is N, no factor found
Tue Apr  7 14:22:14 2015  reading relations for dependency 2
Tue Apr  7 14:22:14 2015  read 481731 cycles
Tue Apr  7 14:22:15 2015  cycles contain 1628238 unique relations
Tue Apr  7 14:22:25 2015  read 1628238 relations
Tue Apr  7 14:22:29 2015  multiplying 1628238 relations
Tue Apr  7 14:22:58 2015  multiply complete, coefficients have about 40.84 million bits
Tue Apr  7 14:22:58 2015  initial square root is modulo 730021
Tue Apr  7 14:23:34 2015  found factor: 3051744203226524713351259291772124444692873781
Tue Apr  7 14:23:34 2015  reading relations for dependency 3
Tue Apr  7 14:23:34 2015  read 481828 cycles
Tue Apr  7 14:23:34 2015  cycles contain 1629328 unique relations
Tue Apr  7 14:23:45 2015  read 1629328 relations
Tue Apr  7 14:23:48 2015  multiplying 1629328 relations
Tue Apr  7 14:24:18 2015  multiply complete, coefficients have about 40.86 million bits
Tue Apr  7 14:24:18 2015  initial square root is modulo 736361
Tue Apr  7 14:24:53 2015  GCD is N, no factor found
Tue Apr  7 14:24:53 2015  reading relations for dependency 4
Tue Apr  7 14:24:53 2015  read 481618 cycles
Tue Apr  7 14:24:54 2015  cycles contain 1630620 unique relations
Tue Apr  7 14:25:04 2015  read 1630620 relations
Tue Apr  7 14:25:08 2015  multiplying 1630620 relations
Tue Apr  7 14:25:38 2015  multiply complete, coefficients have about 40.90 million bits
Tue Apr  7 14:25:38 2015  initial square root is modulo 744641
Tue Apr  7 14:26:14 2015  found factor: 3051744203226524713351259291772124444692873781
Tue Apr  7 14:26:14 2015  reading relations for dependency 5
Tue Apr  7 14:26:15 2015  read 481970 cycles
Tue Apr  7 14:26:15 2015  cycles contain 1631070 unique relations
Tue Apr  7 14:26:25 2015  read 1631070 relations
Tue Apr  7 14:26:29 2015  multiplying 1631070 relations
Tue Apr  7 14:26:59 2015  multiply complete, coefficients have about 40.91 million bits
Tue Apr  7 14:26:59 2015  initial square root is modulo 747161
Tue Apr  7 14:27:36 2015  found factor: 3051744203226524713351259291772124444692873781
Tue Apr  7 14:27:36 2015  reading relations for dependency 6
Tue Apr  7 14:27:36 2015  read 481467 cycles
Tue Apr  7 14:27:36 2015  cycles contain 1628756 unique relations
Tue Apr  7 14:27:47 2015  read 1628756 relations
Tue Apr  7 14:27:51 2015  multiplying 1628756 relations
Tue Apr  7 14:28:20 2015  multiply complete, coefficients have about 40.85 million bits
Tue Apr  7 14:28:20 2015  initial square root is modulo 732971
Tue Apr  7 14:28:55 2015  sqrtTime: 481
--
n: 476393240107593811570271263154863312477174520197548428446068027440604840821535430927510980496972063540278606333329732258456192198990198063716111285581019175587
m: 10000000000000000000000000000000000
deg: 5
c5: 7
c0: -187
skew: 1.93
# Murphy_E = 2.159e-10
type: snfs
lss: 1
rlim: 4900000
alim: 4900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6404118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
286KTakahashiJanuary 8, 2015 16:53:27 UTC 2015 年 1 月 9 日 (金) 1 時 53 分 27 秒 (日本時間)
403e62650300Serge BatalovJanuary 9, 2015 00:06:47 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 47 秒 (日本時間)
2350Ignacio SantosFebruary 11, 2015 23:03:25 UTC 2015 年 2 月 12 日 (木) 8 時 3 分 25 秒 (日本時間)

7×10172-1879

c153

name 名前Cyp
date 日付April 24, 2015 17:02:14 UTC 2015 年 4 月 25 日 (土) 2 時 2 分 14 秒 (日本時間)
composite number 合成数
199676280476906439022512410578101484624261498814572596226505525086546471341086846410212393867159802649921966131617213976719412348165923553187611014533647<153>
prime factors 素因数
708660897264683646125376030483320009213537<42>
281765624782776304506910820475098157787650624681972303289171386666341406887818645507072274137031492007810322031<111>
factorization results 素因数分解の結果
04/24/15 08:41:56 v1.34.3, 
04/24/15 08:41:56 v1.34.3, ****************************
04/24/15 08:41:56 v1.34.3, Starting factorization of 199676280476906439022512410578101484624261498814572596226505525086546471341086846410212393867159802649921966131617213976719412348165923553187611014533647
04/24/15 08:41:56 v1.34.3, using pretesting plan: none
04/24/15 08:41:56 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
04/24/15 08:41:56 v1.34.3, ****************************
04/24/15 08:41:56 v1.34.3, nfs: commencing nfs on c153: 199676280476906439022512410578101484624261498814572596226505525086546471341086846410212393867159802649921966131617213976719412348165923553187611014533647
04/24/15 08:41:56 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
04/24/15 08:41:56 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/24/15 08:46:36 v1.34.3, nfs: commencing lattice sieving with 8 threads
[101 lines snipped]
04/24/15 16:59:02 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/24/15 17:03:46 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/24/15 17:08:35 v1.34.3, nfs: commencing msieve filtering
04/24/15 17:10:09 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/24/15 17:15:04 v1.34.3, nfs: commencing lattice sieving with 8 threads
[2 lines snipped]
04/24/15 17:29:29 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/24/15 17:34:19 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/24/15 17:39:12 v1.34.3, nfs: commencing msieve filtering
04/24/15 17:40:54 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/24/15 17:45:41 v1.34.3, nfs: commencing lattice sieving with 8 threads
[3 lines snipped]
04/24/15 18:04:42 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/24/15 18:09:23 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/24/15 18:14:07 v1.34.3, nfs: commencing msieve filtering
04/24/15 18:16:28 v1.34.3, nfs: commencing msieve linear algebra
04/24/15 19:00:08 v1.34.3, nfs: commencing msieve sqrt
04/24/15 19:02:13 v1.34.3, prp42 = 708660897264683646125376030483320009213537
04/24/15 19:02:13 v1.34.3, prp111 = 281765624782776304506910820475098157787650624681972303289171386666341406887818645507072274137031492007810322031
04/24/15 19:02:13 v1.34.3, NFS elapsed time = 37216.7691 seconds.
04/24/15 19:02:13 v1.34.3, 
04/24/15 19:02:13 v1.34.3, 
04/24/15 19:02:13 v1.34.3, Total factoring time = 37216.7701 seconds
--
Fri Apr 24 17:08:35 2015  
Fri Apr 24 17:08:35 2015  commencing relation filtering
Fri Apr 24 17:08:35 2015  estimated available RAM is 15987.3 MB
Fri Apr 24 17:08:35 2015  commencing duplicate removal, pass 1
Fri Apr 24 17:09:03 2015  found 1545922 hash collisions in 10089759 relations
Fri Apr 24 17:09:12 2015  added 370700 free relations
Fri Apr 24 17:09:12 2015  commencing duplicate removal, pass 2
Fri Apr 24 17:09:21 2015  found 1177896 duplicates and 9282563 unique relations
Fri Apr 24 17:09:21 2015  memory use: 41.3 MB
Fri Apr 24 17:09:21 2015  reading ideals above 100000
Fri Apr 24 17:09:21 2015  commencing singleton removal, initial pass
Fri Apr 24 17:10:03 2015  memory use: 344.5 MB
Fri Apr 24 17:10:03 2015  reading all ideals from disk
Fri Apr 24 17:10:03 2015  memory use: 344.2 MB
Fri Apr 24 17:10:03 2015  keeping 10905559 ideals with weight <= 200, target excess is 48736
Fri Apr 24 17:10:04 2015  commencing in-memory singleton removal
Fri Apr 24 17:10:04 2015  begin with 9282563 relations and 10905559 unique ideals
Fri Apr 24 17:10:09 2015  reduce to 2958196 relations and 3210493 ideals in 24 passes
Fri Apr 24 17:10:09 2015  max relations containing the same ideal: 97
Fri Apr 24 17:39:12 2015  
Fri Apr 24 17:39:12 2015  commencing relation filtering
Fri Apr 24 17:39:12 2015  estimated available RAM is 15987.3 MB
Fri Apr 24 17:39:12 2015  commencing duplicate removal, pass 1
Fri Apr 24 17:39:45 2015  found 1717871 hash collisions in 10978081 relations
Fri Apr 24 17:39:54 2015  added 1133 free relations
Fri Apr 24 17:39:54 2015  commencing duplicate removal, pass 2
Fri Apr 24 17:40:03 2015  found 1282791 duplicates and 9696423 unique relations
Fri Apr 24 17:40:03 2015  memory use: 45.3 MB
Fri Apr 24 17:40:03 2015  reading ideals above 100000
Fri Apr 24 17:40:03 2015  commencing singleton removal, initial pass
Fri Apr 24 17:40:48 2015  memory use: 344.5 MB
Fri Apr 24 17:40:48 2015  reading all ideals from disk
Fri Apr 24 17:40:48 2015  memory use: 359.7 MB
Fri Apr 24 17:40:49 2015  keeping 11070474 ideals with weight <= 200, target excess is 51043
Fri Apr 24 17:40:49 2015  commencing in-memory singleton removal
Fri Apr 24 17:40:50 2015  begin with 9696423 relations and 11070474 unique ideals
Fri Apr 24 17:40:54 2015  reduce to 3588595 relations and 3699034 ideals in 18 passes
Fri Apr 24 17:40:54 2015  max relations containing the same ideal: 105
Fri Apr 24 18:14:07 2015  
Fri Apr 24 18:14:07 2015  commencing relation filtering
Fri Apr 24 18:14:07 2015  estimated available RAM is 15987.3 MB
Fri Apr 24 18:14:07 2015  commencing duplicate removal, pass 1
Fri Apr 24 18:14:44 2015  found 1873818 hash collisions in 11569811 relations
Fri Apr 24 18:14:52 2015  added 1085 free relations
Fri Apr 24 18:14:52 2015  commencing duplicate removal, pass 2
Fri Apr 24 18:15:02 2015  found 1406812 duplicates and 10164084 unique relations
Fri Apr 24 18:15:02 2015  memory use: 74.6 MB
Fri Apr 24 18:15:02 2015  reading ideals above 720000
Fri Apr 24 18:15:02 2015  commencing singleton removal, initial pass
Fri Apr 24 18:15:46 2015  memory use: 344.5 MB
Fri Apr 24 18:15:47 2015  reading all ideals from disk
Fri Apr 24 18:15:47 2015  memory use: 303.8 MB
Fri Apr 24 18:15:47 2015  commencing in-memory singleton removal
Fri Apr 24 18:15:48 2015  begin with 10164084 relations and 11184956 unique ideals
Fri Apr 24 18:15:51 2015  reduce to 4268710 relations and 4132266 ideals in 18 passes
Fri Apr 24 18:15:51 2015  max relations containing the same ideal: 68
Fri Apr 24 18:15:53 2015  relations with 0 large ideals: 2942
Fri Apr 24 18:15:53 2015  relations with 1 large ideals: 1810
Fri Apr 24 18:15:53 2015  relations with 2 large ideals: 27229
Fri Apr 24 18:15:53 2015  relations with 3 large ideals: 170817
Fri Apr 24 18:15:53 2015  relations with 4 large ideals: 571111
Fri Apr 24 18:15:53 2015  relations with 5 large ideals: 1097461
Fri Apr 24 18:15:53 2015  relations with 6 large ideals: 1272619
Fri Apr 24 18:15:53 2015  relations with 7+ large ideals: 1124721
Fri Apr 24 18:15:53 2015  commencing 2-way merge
Fri Apr 24 18:15:55 2015  reduce to 2476649 relation sets and 2340547 unique ideals
Fri Apr 24 18:15:55 2015  ignored 342 oversize relation sets
Fri Apr 24 18:15:55 2015  commencing full merge
Fri Apr 24 18:16:19 2015  memory use: 263.5 MB
Fri Apr 24 18:16:19 2015  found 1198432 cycles, need 1194747
Fri Apr 24 18:16:19 2015  weight of 1194747 cycles is about 83941526 (70.26/cycle)
Fri Apr 24 18:16:19 2015  distribution of cycle lengths:
Fri Apr 24 18:16:19 2015  1 relations: 169695
Fri Apr 24 18:16:19 2015  2 relations: 153226
Fri Apr 24 18:16:19 2015  3 relations: 144745
Fri Apr 24 18:16:19 2015  4 relations: 125177
Fri Apr 24 18:16:19 2015  5 relations: 108033
Fri Apr 24 18:16:19 2015  6 relations: 88321
Fri Apr 24 18:16:19 2015  7 relations: 74355
Fri Apr 24 18:16:19 2015  8 relations: 60524
Fri Apr 24 18:16:19 2015  9 relations: 49480
Fri Apr 24 18:16:19 2015  10+ relations: 221191
Fri Apr 24 18:16:19 2015  heaviest cycle: 28 relations
Fri Apr 24 18:16:19 2015  commencing cycle optimization
Fri Apr 24 18:16:20 2015  start with 7074738 relations
Fri Apr 24 18:16:27 2015  pruned 161044 relations
Fri Apr 24 18:16:27 2015  memory use: 236.6 MB
Fri Apr 24 18:16:27 2015  distribution of cycle lengths:
Fri Apr 24 18:16:27 2015  1 relations: 169695
Fri Apr 24 18:16:27 2015  2 relations: 156646
Fri Apr 24 18:16:27 2015  3 relations: 149624
Fri Apr 24 18:16:27 2015  4 relations: 127743
Fri Apr 24 18:16:27 2015  5 relations: 109784
Fri Apr 24 18:16:27 2015  6 relations: 88710
Fri Apr 24 18:16:27 2015  7 relations: 74454
Fri Apr 24 18:16:27 2015  8 relations: 59882
Fri Apr 24 18:16:27 2015  9 relations: 48199
Fri Apr 24 18:16:27 2015  10+ relations: 210010
Fri Apr 24 18:16:27 2015  heaviest cycle: 28 relations
Fri Apr 24 18:16:28 2015  RelProcTime: 141
Fri Apr 24 18:16:28 2015  
Fri Apr 24 18:16:28 2015  commencing linear algebra
Fri Apr 24 18:16:28 2015  read 1194747 cycles
Fri Apr 24 18:16:29 2015  cycles contain 4001403 unique relations
Fri Apr 24 18:16:47 2015  read 4001403 relations
Fri Apr 24 18:16:50 2015  using 20 quadratic characters above 134216862
Fri Apr 24 18:17:03 2015  building initial matrix
Fri Apr 24 18:17:24 2015  memory use: 474.5 MB
Fri Apr 24 18:17:24 2015  read 1194747 cycles
Fri Apr 24 18:17:24 2015  matrix is 1194554 x 1194747 (358.7 MB) with weight 104880977 (87.79/col)
Fri Apr 24 18:17:24 2015  sparse part has weight 80884553 (67.70/col)
Fri Apr 24 18:17:31 2015  filtering completed in 2 passes
Fri Apr 24 18:17:31 2015  matrix is 1192455 x 1192647 (358.4 MB) with weight 104787987 (87.86/col)
Fri Apr 24 18:17:31 2015  sparse part has weight 80840623 (67.78/col)
Fri Apr 24 18:17:35 2015  matrix starts at (0, 0)
Fri Apr 24 18:17:35 2015  matrix is 1192455 x 1192647 (358.4 MB) with weight 104787987 (87.86/col)
Fri Apr 24 18:17:35 2015  sparse part has weight 80840623 (67.78/col)
Fri Apr 24 18:17:35 2015  saving the first 48 matrix rows for later
Fri Apr 24 18:17:35 2015  matrix includes 64 packed rows
Fri Apr 24 18:17:35 2015  matrix is 1192407 x 1192647 (339.6 MB) with weight 83760987 (70.23/col)
Fri Apr 24 18:17:35 2015  sparse part has weight 77094591 (64.64/col)
Fri Apr 24 18:17:35 2015  using block size 65536 for processor cache size 8192 kB
Fri Apr 24 18:17:37 2015  commencing Lanczos iteration (8 threads)
Fri Apr 24 18:17:37 2015  memory use: 333.0 MB
Fri Apr 24 18:17:41 2015  linear algebra at 0.1%, ETA 0h52m
Fri Apr 24 18:17:42 2015  checkpointing every 1470000 dimensions
Fri Apr 24 19:00:07 2015  lanczos halted after 18857 iterations (dim = 1192405)
Fri Apr 24 19:00:08 2015  recovered 38 nontrivial dependencies
Fri Apr 24 19:00:08 2015  BLanczosTime: 2620
Fri Apr 24 19:00:08 2015  
Fri Apr 24 19:00:08 2015  commencing square root phase
Fri Apr 24 19:00:08 2015  reading relations for dependency 1
Fri Apr 24 19:00:08 2015  read 596580 cycles
Fri Apr 24 19:00:08 2015  cycles contain 1998264 unique relations
Fri Apr 24 19:00:20 2015  read 1998264 relations
Fri Apr 24 19:00:25 2015  multiplying 1998264 relations
Fri Apr 24 19:01:15 2015  multiply complete, coefficients have about 62.45 million bits
Fri Apr 24 19:01:15 2015  initial square root is modulo 924905071
Fri Apr 24 19:02:13 2015  sqrtTime: 125
--
n: 199676280476906439022512410578101484624261498814572596226505525086546471341086846410212393867159802649921966131617213976719412348165923553187611014533647
m: 10000000000000000000000000000000000
deg: 5
c5: 700
c0: -187
skew: 0.77
# Murphy_E = 1.298e-10
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6404118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
286KTakahashiJanuary 8, 2015 16:53:55 UTC 2015 年 1 月 9 日 (金) 1 時 53 分 55 秒 (日本時間)
403e62650300Serge BatalovJanuary 9, 2015 00:06:48 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 48 秒 (日本時間)
2350Ignacio SantosFebruary 27, 2015 23:34:09 UTC 2015 年 2 月 28 日 (土) 8 時 34 分 9 秒 (日本時間)

7×10174-1879

c154

name 名前Jo Yeong Uk
date 日付May 10, 2015 06:06:51 UTC 2015 年 5 月 10 日 (日) 15 時 6 分 51 秒 (日本時間)
composite number 合成数
5831638985040571329367842310999843910988022412448101126008558317778842007796949693202343186353637827150252429406454627643915267016106784671949034486940563<154>
prime factors 素因数
3539129085867647612995319639982263030348426788589963818472023<61>
1647761029211200813147518400688299781798783634273354578128139868402489810728498838885820082981<94>
factorization results 素因数分解の結果
Number: 77757_174
N=5831638985040571329367842310999843910988022412448101126008558317778842007796949693202343186353637827150252429406454627643915267016106784671949034486940563
  ( 154 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=3539129085867647612995319639982263030348426788589963818472023
 r2=1647761029211200813147518400688299781798783634273354578128139868402489810728498838885820082981
Version: 
Total time: 36.21 hours.
Scaled time: 190.29 units (timescale=5.255).
Factorization parameters were as follows:
n: 5831638985040571329367842310999843910988022412448101126008558317778842007796949693202343186353637827150252429406454627643915267016106784671949034486940563
m: 100000000000000000000000000000000000
deg: 5
c5: 7
c0: -1870
skew: 3.06
# Murphy_E = 1.207e-10
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
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: 52/52
Sieved rational special-q in [3700000, 7900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 16517410
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1242984 x 1243232
Total sieving time: 32.52 hours.
Total relation processing time: 1.68 hours.
Matrix solve time: 1.72 hours.
Time per square root: 0.29 hours.
Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,52,52,2.5,2.5,100000
total time: 36.21 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.18 BogoMIPS (lpj=3400094)
Total of 12 processors activated (81602.25 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
351e6404118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
286KTakahashiJanuary 8, 2015 16:54:14 UTC 2015 年 1 月 9 日 (金) 1 時 54 分 14 秒 (日本時間)
403e62650300Serge BatalovJanuary 9, 2015 00:06:49 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 49 秒 (日本時間)
2350Ignacio SantosMarch 29, 2015 08:59:51 UTC 2015 年 3 月 29 日 (日) 17 時 59 分 51 秒 (日本時間)

7×10175-1879

c169

name 名前Cyp
date 日付April 20, 2015 18:09:40 UTC 2015 年 4 月 21 日 (火) 3 時 9 分 40 秒 (日本時間)
composite number 合成数
2985496925087442006189105725530557989801798403637734173315688193506945097521896807322383298311321904254004713587845240198794857251236774088684527359371046215790950046111<169>
prime factors 素因数
3502467755748787960535505923612520258228994184081<49>
852398118494363285716361699264297117595768613488186925512629708598109965292817060839446143007752965546360614879995011631<120>
factorization results 素因数分解の結果
04/20/15 07:50:05 v1.34.3, 
04/20/15 07:50:05 v1.34.3, ****************************
04/20/15 07:50:05 v1.34.3, Starting factorization of 2985496925087442006189105725530557989801798403637734173315688193506945097521896807322383298311321904254004713587845240198794857251236774088684527359371046215790950046111
04/20/15 07:50:05 v1.34.3, using pretesting plan: none
04/20/15 07:50:05 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
04/20/15 07:50:05 v1.34.3, ****************************
04/20/15 07:50:05 v1.34.3, nfs: commencing nfs on c169: 2985496925087442006189105725530557989801798403637734173315688193506945097521896807322383298311321904254004713587845240198794857251236774088684527359371046215790950046111
04/20/15 07:50:05 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
04/20/15 07:50:05 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/20/15 07:55:23 v1.34.3, nfs: commencing lattice sieving with 8 threads
[130 lines snipped]
04/20/15 19:32:49 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/20/15 19:38:27 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/20/15 19:44:08 v1.34.3, nfs: commencing msieve filtering
04/20/15 19:48:07 v1.34.3, nfs: commencing msieve linear algebra
04/20/15 20:08:25 v1.34.3, nfs: commencing msieve sqrt
04/20/15 20:09:34 v1.34.3, prp120 = 852398118494363285716361699264297117595768613488186925512629708598109965292817060839446143007752965546360614879995011631
04/20/15 20:09:34 v1.34.3, prp49 = 3502467755748787960535505923612520258228994184081
04/20/15 20:09:34 v1.34.3, NFS elapsed time = 44369.4719 seconds.
04/20/15 20:09:34 v1.34.3, 
04/20/15 20:09:34 v1.34.3, 
04/20/15 20:09:34 v1.34.3, Total factoring time = 44369.4732 seconds
--
Mon Apr 20 19:44:08 2015  
Mon Apr 20 19:44:08 2015  commencing relation filtering
Mon Apr 20 19:44:08 2015  estimated available RAM is 15987.3 MB
Mon Apr 20 19:44:08 2015  commencing duplicate removal, pass 1
Mon Apr 20 19:45:12 2015  found 3413451 hash collisions in 21157638 relations
Mon Apr 20 19:45:30 2015  added 693538 free relations
Mon Apr 20 19:45:30 2015  commencing duplicate removal, pass 2
Mon Apr 20 19:45:48 2015  found 2638456 duplicates and 19212720 unique relations
Mon Apr 20 19:45:48 2015  memory use: 90.6 MB
Mon Apr 20 19:45:49 2015  reading ideals above 720000
Mon Apr 20 19:45:49 2015  commencing singleton removal, initial pass
Mon Apr 20 19:47:13 2015  memory use: 376.5 MB
Mon Apr 20 19:47:13 2015  reading all ideals from disk
Mon Apr 20 19:47:13 2015  memory use: 577.1 MB
Mon Apr 20 19:47:14 2015  keeping 19095123 ideals with weight <= 200, target excess is 115962
Mon Apr 20 19:47:15 2015  commencing in-memory singleton removal
Mon Apr 20 19:47:16 2015  begin with 19212720 relations and 19095123 unique ideals
Mon Apr 20 19:47:23 2015  reduce to 9814208 relations and 7649387 ideals in 12 passes
Mon Apr 20 19:47:23 2015  max relations containing the same ideal: 127
Mon Apr 20 19:47:25 2015  removing 1543416 relations and 1143416 ideals in 400000 cliques
Mon Apr 20 19:47:26 2015  commencing in-memory singleton removal
Mon Apr 20 19:47:26 2015  begin with 8270792 relations and 7649387 unique ideals
Mon Apr 20 19:47:29 2015  reduce to 8087240 relations and 6313183 ideals in 7 passes
Mon Apr 20 19:47:29 2015  max relations containing the same ideal: 112
Mon Apr 20 19:47:31 2015  removing 1260234 relations and 860234 ideals in 400000 cliques
Mon Apr 20 19:47:31 2015  commencing in-memory singleton removal
Mon Apr 20 19:47:32 2015  begin with 6827006 relations and 6313183 unique ideals
Mon Apr 20 19:47:34 2015  reduce to 6694562 relations and 5314038 ideals in 7 passes
Mon Apr 20 19:47:34 2015  max relations containing the same ideal: 95
Mon Apr 20 19:47:36 2015  removing 1185016 relations and 785016 ideals in 400000 cliques
Mon Apr 20 19:47:36 2015  commencing in-memory singleton removal
Mon Apr 20 19:47:36 2015  begin with 5509546 relations and 5314038 unique ideals
Mon Apr 20 19:47:38 2015  reduce to 5378928 relations and 4391222 ideals in 8 passes
Mon Apr 20 19:47:38 2015  max relations containing the same ideal: 81
Mon Apr 20 19:47:40 2015  removing 1152677 relations and 752677 ideals in 400000 cliques
Mon Apr 20 19:47:40 2015  commencing in-memory singleton removal
Mon Apr 20 19:47:40 2015  begin with 4226251 relations and 4391222 unique ideals
Mon Apr 20 19:47:41 2015  reduce to 4081582 relations and 3484293 ideals in 7 passes
Mon Apr 20 19:47:41 2015  max relations containing the same ideal: 68
Mon Apr 20 19:47:42 2015  removing 1133604 relations and 733604 ideals in 400000 cliques
Mon Apr 20 19:47:43 2015  commencing in-memory singleton removal
Mon Apr 20 19:47:43 2015  begin with 2947978 relations and 3484293 unique ideals
Mon Apr 20 19:47:44 2015  reduce to 2772124 relations and 2559520 ideals in 8 passes
Mon Apr 20 19:47:44 2015  max relations containing the same ideal: 52
Mon Apr 20 19:47:44 2015  removing 301619 relations and 223531 ideals in 78088 cliques
Mon Apr 20 19:47:45 2015  commencing in-memory singleton removal
Mon Apr 20 19:47:45 2015  begin with 2470505 relations and 2559520 unique ideals
Mon Apr 20 19:47:45 2015  reduce to 2445980 relations and 2310827 ideals in 6 passes
Mon Apr 20 19:47:45 2015  max relations containing the same ideal: 50
Mon Apr 20 19:47:46 2015  relations with 0 large ideals: 2840
Mon Apr 20 19:47:46 2015  relations with 1 large ideals: 2339
Mon Apr 20 19:47:46 2015  relations with 2 large ideals: 32203
Mon Apr 20 19:47:46 2015  relations with 3 large ideals: 173438
Mon Apr 20 19:47:46 2015  relations with 4 large ideals: 465062
Mon Apr 20 19:47:46 2015  relations with 5 large ideals: 693686
Mon Apr 20 19:47:46 2015  relations with 6 large ideals: 633468
Mon Apr 20 19:47:46 2015  relations with 7+ large ideals: 442944
Mon Apr 20 19:47:46 2015  commencing 2-way merge
Mon Apr 20 19:47:47 2015  reduce to 1566458 relation sets and 1431305 unique ideals
Mon Apr 20 19:47:47 2015  commencing full merge
Mon Apr 20 19:48:01 2015  memory use: 180.9 MB
Mon Apr 20 19:48:01 2015  found 832368 cycles, need 813505
Mon Apr 20 19:48:01 2015  weight of 813505 cycles is about 57225898 (70.34/cycle)
Mon Apr 20 19:48:01 2015  distribution of cycle lengths:
Mon Apr 20 19:48:01 2015  1 relations: 63009
Mon Apr 20 19:48:01 2015  2 relations: 79806
Mon Apr 20 19:48:01 2015  3 relations: 92426
Mon Apr 20 19:48:01 2015  4 relations: 92830
Mon Apr 20 19:48:01 2015  5 relations: 91342
Mon Apr 20 19:48:01 2015  6 relations: 85508
Mon Apr 20 19:48:01 2015  7 relations: 74684
Mon Apr 20 19:48:01 2015  8 relations: 62958
Mon Apr 20 19:48:01 2015  9 relations: 50233
Mon Apr 20 19:48:01 2015  10+ relations: 120709
Mon Apr 20 19:48:01 2015  heaviest cycle: 18 relations
Mon Apr 20 19:48:01 2015  commencing cycle optimization
Mon Apr 20 19:48:02 2015  start with 4714922 relations
Mon Apr 20 19:48:06 2015  pruned 147353 relations
Mon Apr 20 19:48:06 2015  memory use: 149.0 MB
Mon Apr 20 19:48:06 2015  distribution of cycle lengths:
Mon Apr 20 19:48:06 2015  1 relations: 63009
Mon Apr 20 19:48:06 2015  2 relations: 81577
Mon Apr 20 19:48:06 2015  3 relations: 96150
Mon Apr 20 19:48:06 2015  4 relations: 96211
Mon Apr 20 19:48:06 2015  5 relations: 95344
Mon Apr 20 19:48:06 2015  6 relations: 88508
Mon Apr 20 19:48:06 2015  7 relations: 76837
Mon Apr 20 19:48:06 2015  8 relations: 63161
Mon Apr 20 19:48:06 2015  9 relations: 49753
Mon Apr 20 19:48:06 2015  10+ relations: 102955
Mon Apr 20 19:48:06 2015  heaviest cycle: 17 relations
Mon Apr 20 19:48:07 2015  RelProcTime: 239
Mon Apr 20 19:48:07 2015  
Mon Apr 20 19:48:07 2015  commencing linear algebra
Mon Apr 20 19:48:07 2015  read 813505 cycles
Mon Apr 20 19:48:08 2015  cycles contain 2373086 unique relations
Mon Apr 20 19:48:28 2015  read 2373086 relations
Mon Apr 20 19:48:30 2015  using 20 quadratic characters above 268429194
Mon Apr 20 19:48:38 2015  building initial matrix
Mon Apr 20 19:48:52 2015  memory use: 302.7 MB
Mon Apr 20 19:48:53 2015  read 813505 cycles
Mon Apr 20 19:48:53 2015  matrix is 813671 x 813505 (242.9 MB) with weight 72446798 (89.06/col)
Mon Apr 20 19:48:53 2015  sparse part has weight 54735736 (67.28/col)
Mon Apr 20 19:48:58 2015  filtering completed in 2 passes
Mon Apr 20 19:48:58 2015  matrix is 813209 x 813261 (242.9 MB) with weight 72433110 (89.07/col)
Mon Apr 20 19:48:58 2015  sparse part has weight 54727493 (67.29/col)
Mon Apr 20 19:49:00 2015  matrix starts at (0, 0)
Mon Apr 20 19:49:00 2015  matrix is 813209 x 813261 (242.9 MB) with weight 72433110 (89.07/col)
Mon Apr 20 19:49:00 2015  sparse part has weight 54727493 (67.29/col)
Mon Apr 20 19:49:00 2015  saving the first 48 matrix rows for later
Mon Apr 20 19:49:00 2015  matrix includes 64 packed rows
Mon Apr 20 19:49:00 2015  matrix is 813161 x 813261 (229.6 MB) with weight 56808201 (69.85/col)
Mon Apr 20 19:49:00 2015  sparse part has weight 52047231 (64.00/col)
Mon Apr 20 19:49:00 2015  using block size 65536 for processor cache size 8192 kB
Mon Apr 20 19:49:02 2015  commencing Lanczos iteration (8 threads)
Mon Apr 20 19:49:02 2015  memory use: 223.8 MB
Mon Apr 20 19:49:06 2015  linear algebra at 0.4%, ETA 0h17m
Mon Apr 20 20:08:24 2015  lanczos halted after 12860 iterations (dim = 813099)
Mon Apr 20 20:08:25 2015  recovered 22 nontrivial dependencies
Mon Apr 20 20:08:25 2015  BLanczosTime: 1218
Mon Apr 20 20:08:25 2015  
Mon Apr 20 20:08:25 2015  commencing square root phase
Mon Apr 20 20:08:25 2015  reading relations for dependency 1
Mon Apr 20 20:08:25 2015  read 406044 cycles
Mon Apr 20 20:08:26 2015  cycles contain 1184258 unique relations
Mon Apr 20 20:08:43 2015  read 1184258 relations
Mon Apr 20 20:08:46 2015  multiplying 1184258 relations
Mon Apr 20 20:09:07 2015  multiply complete, coefficients have about 29.97 million bits
Mon Apr 20 20:09:07 2015  initial square root is modulo 403246241
Mon Apr 20 20:09:34 2015  sqrtTime: 69
--
n: 2985496925087442006189105725530557989801798403637734173315688193506945097521896807322383298311321904254004713587845240198794857251236774088684527359371046215790950046111
m: 100000000000000000000000000000000000
deg: 5
c5: 7
c0: -187
skew: 1.93
# Murphy_E = 1.365e-10
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6404118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
286KTakahashiJanuary 8, 2015 16:54:32 UTC 2015 年 1 月 9 日 (金) 1 時 54 分 32 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:06:49 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 49 秒 (日本時間)
4511e6563 / 4396CypJanuary 31, 2015 19:12:05 UTC 2015 年 2 月 1 日 (日) 4 時 12 分 5 秒 (日本時間)

7×10176-1879

c147

name 名前Jo Yeong Uk
date 日付September 19, 2015 10:09:08 UTC 2015 年 9 月 19 日 (土) 19 時 9 分 8 秒 (日本時間)
composite number 合成数
176696366595695333591344009560361689829709647710211008669418317837467739926917448725929795544910197771182379802168906634380418532606079211228042079<147>
prime factors 素因数
2929425725960296396679429041984264203942307473348704870623<58>
60317749321933197764103913356017712079577259988062181259115832223721662327631684582694273<89>
factorization results 素因数分解の結果
Number: 77757_176
N=176696366595695333591344009560361689829709647710211008669418317837467739926917448725929795544910197771182379802168906634380418532606079211228042079
  ( 147 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=2929425725960296396679429041984264203942307473348704870623
 r2=60317749321933197764103913356017712079577259988062181259115832223721662327631684582694273
Version: 
Total time: 43.10 hours.
Scaled time: 225.87 units (timescale=5.241).
Factorization parameters were as follows:
n: 176696366595695333591344009560361689829709647710211008669418317837467739926917448725929795544910197771182379802168906634380418532606079211228042079
m: 100000000000000000000000000000000000
deg: 5
c5: 70
c0: -187
skew: 1.22
# Murphy_E = 1.044e-10
type: snfs
lss: 1
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [4000000, 8800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18794489
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1432996 x 1433244
Total sieving time: 38.24 hours.
Total relation processing time: 2.23 hours.
Matrix solve time: 2.46 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,53,53,2.5,2.5,100000
total time: 43.10 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49365540k/51380224k available (5394k kernel code, 1086460k absent, 928224k reserved, 7014k data, 1296k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.70 BogoMIPS (lpj=3399854)
Total of 12 processors activated (81596.49 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 16:54:46 UTC 2015 年 1 月 9 日 (金) 1 時 54 分 46 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:06:50 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 50 秒 (日本時間)
1CypJanuary 9, 2015 01:06:54 UTC 2015 年 1 月 9 日 (金) 10 時 6 分 54 秒 (日本時間)
4511e6600 / 4372KTakahashiApril 29, 2015 19:56:50 UTC 2015 年 4 月 30 日 (木) 4 時 56 分 50 秒 (日本時間)

7×10178-1879

c137

name 名前Jo Yeong Uk
date 日付November 13, 2015 13:17:23 UTC 2015 年 11 月 13 日 (金) 22 時 17 分 23 秒 (日本時間)
composite number 合成数
30804302919394643747800215504583407400842340867355153491424161587553572262759547317922599228905503944026312831587291592612875480213402291<137>
prime factors 素因数
18937269558123291571271690851266010477690581591093523<53>
1626649651094019219241463055796760126518440460273361281834083397157843567606982478817<85>
factorization results 素因数分解の結果
Number: 77757_178
N=30804302919394643747800215504583407400842340867355153491424161587553572262759547317922599228905503944026312831587291592612875480213402291
  ( 137 digits)
SNFS difficulty: 179 digits.
Divisors found:
 r1=18937269558123291571271690851266010477690581591093523
 r2=1626649651094019219241463055796760126518440460273361281834083397157843567606982478817
Version: 
Total time: 59.59 hours.
Scaled time: 287.87 units (timescale=4.831).
Factorization parameters were as follows:
n: 30804302919394643747800215504583407400842340867355153491424161587553572262759547317922599228905503944026312831587291592612875480213402291
m: 200000000000000000000000000000000000
deg: 5
c5: 875
c0: -748
skew: 0.97
# Murphy_E = 7.475e-11
type: snfs
lss: 1
rlim: 10000000
alim: 10000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [5000000, 11100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 19232184
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1617408 x 1617656
Total sieving time: 52.59 hours.
Total relation processing time: 2.98 hours.
Matrix solve time: 3.88 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,179,5,0,0,0,0,0,0,0,0,10000000,10000000,28,28,53,53,2.5,2.5,100000
total time: 59.59 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49365480k/51380224k available (5395k kernel code, 1086460k absent, 928284k reserved, 7013k data, 1296k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.95 BogoMIPS (lpj=3399977)
Total of 12 processors activated (81599.44 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 16:55:03 UTC 2015 年 1 月 9 日 (金) 1 時 55 分 3 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:06:50 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 50 秒 (日本時間)
4511e6523 / 3552CypFebruary 7, 2015 11:03:48 UTC 2015 年 2 月 7 日 (土) 20 時 3 分 48 秒 (日本時間)
5043e6234 / 7419Pierre JammesMarch 19, 2015 08:47:41 UTC 2015 年 3 月 19 日 (木) 17 時 47 分 41 秒 (日本時間)

7×10180-1879

c173

name 名前Serge Batalov
date 日付January 9, 2015 03:53:14 UTC 2015 年 1 月 9 日 (金) 12 時 53 分 14 秒 (日本時間)
composite number 合成数
94944515171326495999017785427050460066533589721502101983403129080961100540395697000639017277609529315143103560689232617873513858935589790106295945770188618537094638970158003<173>
prime factors 素因数
55065557292338527948833768816449<32>
composite cofactor 合成数の残り
1724208740270689552668491904446810687980226190921945720985193692287026934851949585137627927619030308470710176112069784752463608172195592860147<142>
factorization results 素因数分解の結果
Input number is 94944515171326495999017785427050460066533589721502101983403129080961100540395697000639017277609529315143103560689232617873513858935589790106295945770188618537094638970158003 (173 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2895089409
Step 1 took 11790ms
Step 2 took 9946ms
********** Factor found in step 2: 55065557292338527948833768816449
Found probable prime factor of 32 digits: 55065557292338527948833768816449
Composite cofactor 1724208740270689552668491904446810687980226190921945720985193692287026934851949585137627927619030308470710176112069784752463608172195592860147 has 142 digits

c142

name 名前Jo Yeong Uk
date 日付December 31, 2015 18:13:43 UTC 2016 年 1 月 1 日 (金) 3 時 13 分 43 秒 (日本時間)
composite number 合成数
1724208740270689552668491904446810687980226190921945720985193692287026934851949585137627927619030308470710176112069784752463608172195592860147<142>
prime factors 素因数
17226160298572834703367274240725925125421268221<47>
100092458817623915664342507428401282318942135844349231121914415674517158071759738105530432050607<96>
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 1724208740270689552668491904446810687980226190921945720985193692287026934851949585137627927619030308470710176112069784752463608172195592860147 (142 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3157227377
Step 1 took 24402ms
Step 2 took 8557ms
********** Factor found in step 2: 17226160298572834703367274240725925125421268221
Found probable prime factor of 47 digits: 17226160298572834703367274240725925125421268221
Probable prime cofactor 100092458817623915664342507428401282318942135844349231121914415674517158071759738105530432050607 has 96 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
351e6404118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
286KTakahashiJanuary 8, 2015 16:55:22 UTC 2015 年 1 月 9 日 (金) 1 時 55 分 22 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:06:51 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 51 秒 (日本時間)
4511e6600 / 4396KTakahashiMay 13, 2015 20:36:28 UTC 2015 年 5 月 14 日 (木) 5 時 36 分 28 秒 (日本時間)

7×10182-1879

c139

name 名前Jo Yeong Uk
date 日付March 8, 2016 10:05:00 UTC 2016 年 3 月 8 日 (火) 19 時 5 分 0 秒 (日本時間)
composite number 合成数
3822145688305938009640211192216218238068045968331996769461327373478802315314689366857010316716028777346705459665421204291593997476374511317<139>
prime factors 素因数
481100050190873305457707286743949166339858500355250591428865282153<66>
7944596320016027122656950080205867230824033802454185031098625950121454989<73>
factorization results 素因数分解の結果
Number: 77757_182
N=3822145688305938009640211192216218238068045968331996769461327373478802315314689366857010316716028777346705459665421204291593997476374511317
  ( 139 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=481100050190873305457707286743949166339858500355250591428865282153
 r2=7944596320016027122656950080205867230824033802454185031098625950121454989
Version: 
Total time: 79.72 hours.
Scaled time: 417.18 units (timescale=5.233).
Factorization parameters were as follows:
n: 3822145688305938009640211192216218238068045968331996769461327373478802315314689366857010316716028777346705459665421204291593997476374511317
m: 1000000000000000000000000000000000000
deg: 5
c5: 700
c0: -187
skew: 0.77
# Murphy_E = 5.153e-11
type: snfs
lss: 1
rlim: 6600000
alim: 6600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6600000/6600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3300000, 7100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18726132
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1555484 x 1555731
Total sieving time: 74.83 hours.
Total relation processing time: 1.83 hours.
Matrix solve time: 2.94 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,6600000,6600000,28,28,53,53,2.5,2.5,100000
total time: 79.72 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49365468k/51380224k available (5397k kernel code, 1086460k absent, 928296k reserved, 7011k data, 1296k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.82 BogoMIPS (lpj=3399914)
Total of 12 processors activated (81597.93 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 16:55:33 UTC 2015 年 1 月 9 日 (金) 1 時 55 分 33 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:06:51 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 51 秒 (日本時間)
4511e6750 / 4372250Pierre JammesMarch 19, 2015 21:15:09 UTC 2015 年 3 月 20 日 (金) 6 時 15 分 9 秒 (日本時間)
500Pierre JammesMarch 20, 2015 21:08:19 UTC 2015 年 3 月 21 日 (土) 6 時 8 分 19 秒 (日本時間)

7×10183-1879

c181

name 名前Cyp
date 日付April 12, 2015 07:38:17 UTC 2015 年 4 月 12 日 (日) 16 時 38 分 17 秒 (日本時間)
composite number 合成数
6124234470691163604549431321084864391951006124234470691163604549431321084864391951006124234470691163604549431321084864391951006124234470691163604549431321084864391951006124234470691<181>
prime factors 素因数
1063577050477379339278598063884180110769023041798594035129<58>
5758148380450990866361405399876526061178465906799125509508404555501641998259156219338996236301837782278849848160663638939579<124>
factorization results 素因数分解の結果
04/10/15 07:31:20 v1.34.3, 
04/10/15 07:31:20 v1.34.3, ****************************
04/10/15 07:31:20 v1.34.3, Starting factorization of 6124234470691163604549431321084864391951006124234470691163604549431321084864391951006124234470691163604549431321084864391951006124234470691163604549431321084864391951006124234470691
04/10/15 07:31:20 v1.34.3, using pretesting plan: none
04/10/15 07:31:20 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
04/10/15 07:31:20 v1.34.3, ****************************
04/10/15 07:31:20 v1.34.3, nfs: commencing nfs on c181: 6124234470691163604549431321084864391951006124234470691163604549431321084864391951006124234470691163604549431321084864391951006124234470691163604549431321084864391951006124234470691
04/10/15 07:31:20 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
04/10/15 07:31:20 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/10/15 07:42:00 v1.34.3, nfs: commencing lattice sieving with 8 threads
[131 lines snipped]
04/11/15 08:06:13 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/11/15 08:17:11 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/11/15 08:28:09 v1.34.3, nfs: commencing msieve filtering
04/11/15 08:32:23 v1.34.3, nfs: commencing msieve linear algebra
04/11/15 09:52:12 v1.34.3, 
04/11/15 09:52:12 v1.34.3, ****************************
04/11/15 09:52:12 v1.34.3, Starting factorization of 6124234470691163604549431321084864391951006124234470691163604549431321084864391951006124234470691163604549431321084864391951006124234470691163604549431321084864391951006124234470691
04/11/15 09:52:12 v1.34.3, using pretesting plan: none
04/11/15 09:52:12 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
04/11/15 09:52:12 v1.34.3, ****************************
04/11/15 09:52:12 v1.34.3, nfs: commencing nfs on c181: 6124234470691163604549431321084864391951006124234470691163604549431321084864391951006124234470691163604549431321084864391951006124234470691163604549431321084864391951006124234470691
04/11/15 09:52:12 v1.34.3, nfs: resuming with sieving at user specified special-q 14849957
04/11/15 09:52:12 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/11/15 10:18:59 v1.34.3, c181 cofactor = 6124234470691163604549431321084864391951006124234470691163604549431321084864391951006124234470691163604549431321084864391951006124234470691163604549431321084864391951006124234470691
04/11/15 10:18:59 v1.34.3, Total factoring time = 1607.3596 seconds
04/11/15 10:28:30 v1.34.3, 
04/11/15 10:28:30 v1.34.3, ****************************
04/11/15 10:28:30 v1.34.3, Starting factorization of 6124234470691163604549431321084864391951006124234470691163604549431321084864391951006124234470691163604549431321084864391951006124234470691163604549431321084864391951006124234470691
04/11/15 10:28:30 v1.34.3, using pretesting plan: none
04/11/15 10:28:30 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
04/11/15 10:28:30 v1.34.3, ****************************
04/11/15 10:28:30 v1.34.3, nfs: previous data file found - commencing search for last special-q
04/11/15 10:28:46 v1.34.3, nfs: parsing special-q from .dat file
04/11/15 10:28:46 v1.34.3, nfs: commencing nfs on c181: 6124234470691163604549431321084864391951006124234470691163604549431321084864391951006124234470691163604549431321084864391951006124234470691163604549431321084864391951006124234470691
04/11/15 10:28:46 v1.34.3, nfs: resuming with filtering
04/11/15 10:28:46 v1.34.3, nfs: commencing msieve filtering
04/11/15 10:33:01 v1.34.3, nfs: commencing msieve linear algebra
04/11/15 18:57:48 v1.34.3, 
04/11/15 18:57:48 v1.34.3, ****************************
04/11/15 18:57:48 v1.34.3, Starting factorization of 6124234470691163604549431321084864391951006124234470691163604549431321084864391951006124234470691163604549431321084864391951006124234470691163604549431321084864391951006124234470691
04/11/15 18:57:48 v1.34.3, using pretesting plan: none
04/11/15 18:57:48 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
04/11/15 18:57:48 v1.34.3, ****************************
04/11/15 18:57:48 v1.34.3, nfs: commencing nfs on c181: 6124234470691163604549431321084864391951006124234470691163604549431321084864391951006124234470691163604549431321084864391951006124234470691163604549431321084864391951006124234470691
04/11/15 18:57:48 v1.34.3, nfs: resuming with sieving at user specified special-q 15049957
04/11/15 18:57:48 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/11/15 19:24:59 v1.34.3, c181 cofactor = 6124234470691163604549431321084864391951006124234470691163604549431321084864391951006124234470691163604549431321084864391951006124234470691163604549431321084864391951006124234470691
04/11/15 19:24:59 v1.34.3, Total factoring time = 1631.0236 seconds
04/11/15 19:41:13 v1.34.3, 
04/11/15 19:41:13 v1.34.3, ****************************
04/11/15 19:41:13 v1.34.3, Starting factorization of 6124234470691163604549431321084864391951006124234470691163604549431321084864391951006124234470691163604549431321084864391951006124234470691163604549431321084864391951006124234470691
04/11/15 19:41:13 v1.34.3, using pretesting plan: none
04/11/15 19:41:13 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
04/11/15 19:41:13 v1.34.3, ****************************
04/11/15 19:41:13 v1.34.3, nfs: previous data file found - commencing search for last special-q
04/11/15 19:41:31 v1.34.3, nfs: parsing special-q from .dat file
04/11/15 19:41:31 v1.34.3, nfs: commencing nfs on c181: 6124234470691163604549431321084864391951006124234470691163604549431321084864391951006124234470691163604549431321084864391951006124234470691163604549431321084864391951006124234470691
04/11/15 19:41:31 v1.34.3, nfs: resuming with filtering
04/11/15 19:41:31 v1.34.3, nfs: commencing msieve filtering
04/11/15 19:45:54 v1.34.3, nfs: commencing msieve linear algebra
04/11/15 22:55:57 v1.34.3, 
04/11/15 22:55:57 v1.34.3, ****************************
04/11/15 22:55:57 v1.34.3, Starting factorization of 6124234470691163604549431321084864391951006124234470691163604549431321084864391951006124234470691163604549431321084864391951006124234470691163604549431321084864391951006124234470691
04/11/15 22:55:57 v1.34.3, using pretesting plan: none
04/11/15 22:55:57 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
04/11/15 22:55:57 v1.34.3, ****************************
04/11/15 22:55:57 v1.34.3, nfs: commencing nfs on c181: 6124234470691163604549431321084864391951006124234470691163604549431321084864391951006124234470691163604549431321084864391951006124234470691163604549431321084864391951006124234470691
04/11/15 22:55:57 v1.34.3, nfs: resuming with sieving at user specified special-q 15249957
04/11/15 22:55:57 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/11/15 23:36:14 v1.34.3, c181 cofactor = 6124234470691163604549431321084864391951006124234470691163604549431321084864391951006124234470691163604549431321084864391951006124234470691163604549431321084864391951006124234470691
04/11/15 23:36:14 v1.34.3, Total factoring time = 2416.7398 seconds
04/12/15 08:16:33 v1.34.3, 
04/12/15 08:16:33 v1.34.3, ****************************
04/12/15 08:16:33 v1.34.3, Starting factorization of 6124234470691163604549431321084864391951006124234470691163604549431321084864391951006124234470691163604549431321084864391951006124234470691163604549431321084864391951006124234470691
04/12/15 08:16:33 v1.34.3, using pretesting plan: none
04/12/15 08:16:33 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
04/12/15 08:16:33 v1.34.3, ****************************
04/12/15 08:16:33 v1.34.3, nfs: previous data file found - commencing search for last special-q
04/12/15 08:16:49 v1.34.3, nfs: parsing special-q from .dat file
04/12/15 08:16:49 v1.34.3, nfs: commencing nfs on c181: 6124234470691163604549431321084864391951006124234470691163604549431321084864391951006124234470691163604549431321084864391951006124234470691163604549431321084864391951006124234470691
04/12/15 08:16:49 v1.34.3, nfs: resuming with filtering
04/12/15 08:16:49 v1.34.3, nfs: commencing msieve filtering
04/12/15 08:21:32 v1.34.3, nfs: commencing msieve linear algebra
04/12/15 09:32:38 v1.34.3, nfs: commencing msieve sqrt
04/12/15 09:38:15 v1.34.3, prp124 = 5758148380450990866361405399876526061178465906799125509508404555501641998259156219338996236301837782278849848160663638939579
04/12/15 09:38:15 v1.34.3, prp58 = 1063577050477379339278598063884180110769023041798594035129
04/12/15 09:38:15 v1.34.3, NFS elapsed time = 4902.2383 seconds.
04/12/15 09:38:15 v1.34.3, 
04/12/15 09:38:15 v1.34.3, 
04/12/15 09:38:15 v1.34.3, Total factoring time = 4902.2397 seconds
--
Sat Apr 11 08:28:09 2015  
Sat Apr 11 08:28:09 2015  commencing relation filtering
Sat Apr 11 08:28:09 2015  estimated available RAM is 15987.3 MB
Sat Apr 11 08:28:09 2015  commencing duplicate removal, pass 1
Sat Apr 11 08:29:13 2015  skipped 1 relations with b > 2^32
Sat Apr 11 08:29:13 2015  found 3881879 hash collisions in 21118733 relations
Sat Apr 11 08:29:31 2015  added 704291 free relations
Sat Apr 11 08:29:31 2015  commencing duplicate removal, pass 2
Sat Apr 11 08:29:50 2015  found 3328350 duplicates and 18494674 unique relations
Sat Apr 11 08:29:50 2015  memory use: 90.6 MB
Sat Apr 11 08:29:50 2015  reading ideals above 720000
Sat Apr 11 08:29:50 2015  commencing singleton removal, initial pass
Sat Apr 11 08:31:14 2015  memory use: 376.5 MB
Sat Apr 11 08:31:14 2015  reading all ideals from disk
Sat Apr 11 08:31:14 2015  memory use: 581.1 MB
Sat Apr 11 08:31:15 2015  keeping 20078496 ideals with weight <= 200, target excess is 116279
Sat Apr 11 08:31:16 2015  commencing in-memory singleton removal
Sat Apr 11 08:31:17 2015  begin with 18494674 relations and 20078496 unique ideals
Sat Apr 11 08:31:24 2015  reduce to 8090167 relations and 7437154 ideals in 14 passes
Sat Apr 11 08:31:24 2015  max relations containing the same ideal: 111
Sat Apr 11 08:31:26 2015  removing 1481672 relations and 1222607 ideals in 259065 cliques
Sat Apr 11 08:31:27 2015  commencing in-memory singleton removal
Sat Apr 11 08:31:27 2015  begin with 6608495 relations and 7437154 unique ideals
Sat Apr 11 08:31:30 2015  reduce to 6387780 relations and 5984915 ideals in 10 passes
Sat Apr 11 08:31:30 2015  max relations containing the same ideal: 93
Sat Apr 11 08:31:32 2015  removing 1159377 relations and 900312 ideals in 259065 cliques
Sat Apr 11 08:31:32 2015  commencing in-memory singleton removal
Sat Apr 11 08:31:32 2015  begin with 5228403 relations and 5984915 unique ideals
Sat Apr 11 08:31:35 2015  reduce to 5066794 relations and 4916563 ideals in 9 passes
Sat Apr 11 08:31:35 2015  max relations containing the same ideal: 79
Sat Apr 11 08:31:36 2015  removing 115559 relations and 100212 ideals in 15347 cliques
Sat Apr 11 08:31:36 2015  commencing in-memory singleton removal
Sat Apr 11 08:31:36 2015  begin with 4951235 relations and 4916563 unique ideals
Sat Apr 11 08:31:38 2015  reduce to 4949574 relations and 4814683 ideals in 6 passes
Sat Apr 11 08:31:38 2015  max relations containing the same ideal: 78
Sat Apr 11 08:31:39 2015  relations with 0 large ideals: 2930
Sat Apr 11 08:31:39 2015  relations with 1 large ideals: 1070
Sat Apr 11 08:31:39 2015  relations with 2 large ideals: 19197
Sat Apr 11 08:31:39 2015  relations with 3 large ideals: 134330
Sat Apr 11 08:31:39 2015  relations with 4 large ideals: 503832
Sat Apr 11 08:31:39 2015  relations with 5 large ideals: 1090532
Sat Apr 11 08:31:39 2015  relations with 6 large ideals: 1457347
Sat Apr 11 08:31:39 2015  relations with 7+ large ideals: 1740336
Sat Apr 11 08:31:39 2015  commencing 2-way merge
Sat Apr 11 08:31:41 2015  reduce to 3045014 relation sets and 2910123 unique ideals
Sat Apr 11 08:31:41 2015  commencing full merge
Sat Apr 11 08:32:11 2015  memory use: 364.5 MB
Sat Apr 11 08:32:11 2015  found 1596468 cycles, need 1578323
Sat Apr 11 08:32:11 2015  weight of 1578323 cycles is about 110737393 (70.16/cycle)
Sat Apr 11 08:32:11 2015  distribution of cycle lengths:
Sat Apr 11 08:32:11 2015  1 relations: 176905
Sat Apr 11 08:32:11 2015  2 relations: 183329
Sat Apr 11 08:32:11 2015  3 relations: 184574
Sat Apr 11 08:32:11 2015  4 relations: 169350
Sat Apr 11 08:32:11 2015  5 relations: 154624
Sat Apr 11 08:32:11 2015  6 relations: 135091
Sat Apr 11 08:32:11 2015  7 relations: 117935
Sat Apr 11 08:32:11 2015  8 relations: 101237
Sat Apr 11 08:32:11 2015  9 relations: 84169
Sat Apr 11 08:32:11 2015  10+ relations: 271109
Sat Apr 11 08:32:11 2015  heaviest cycle: 21 relations
Sat Apr 11 08:32:12 2015  commencing cycle optimization
Sat Apr 11 08:32:13 2015  start with 9082775 relations
Sat Apr 11 08:32:22 2015  pruned 227515 relations
Sat Apr 11 08:32:22 2015  memory use: 295.7 MB
Sat Apr 11 08:32:22 2015  distribution of cycle lengths:
Sat Apr 11 08:32:22 2015  1 relations: 176905
Sat Apr 11 08:32:22 2015  2 relations: 187098
Sat Apr 11 08:32:22 2015  3 relations: 191009
Sat Apr 11 08:32:22 2015  4 relations: 173381
Sat Apr 11 08:32:22 2015  5 relations: 158758
Sat Apr 11 08:32:22 2015  6 relations: 137412
Sat Apr 11 08:32:22 2015  7 relations: 119481
Sat Apr 11 08:32:22 2015  8 relations: 101741
Sat Apr 11 08:32:22 2015  9 relations: 83594
Sat Apr 11 08:32:22 2015  10+ relations: 248944
Sat Apr 11 08:32:22 2015  heaviest cycle: 21 relations
Sat Apr 11 08:32:23 2015  RelProcTime: 254
Sat Apr 11 08:32:23 2015  
Sat Apr 11 08:32:23 2015  commencing linear algebra
Sat Apr 11 08:32:24 2015  read 1578323 cycles
Sat Apr 11 08:32:25 2015  cycles contain 4855941 unique relations
Sat Apr 11 08:32:51 2015  read 4855941 relations
Sat Apr 11 08:32:55 2015  using 20 quadratic characters above 268434620
Sat Apr 11 08:33:10 2015  building initial matrix
Sat Apr 11 08:33:41 2015  memory use: 618.5 MB
Sat Apr 11 08:33:41 2015  read 1578323 cycles
Sat Apr 11 08:33:41 2015  matrix is 1581842 x 1578323 (473.1 MB) with weight 141501234 (89.65/col)
Sat Apr 11 08:33:41 2015  sparse part has weight 106655619 (67.58/col)
Sat Apr 11 08:33:51 2015  filtering completed in 2 passes
Sat Apr 11 08:33:51 2015  matrix is 1578293 x 1576843 (472.7 MB) with weight 141391278 (89.67/col)
Sat Apr 11 08:33:51 2015  sparse part has weight 106579475 (67.59/col)
Sat Apr 11 08:33:56 2015  matrix starts at (0, 0)
Sat Apr 11 08:33:56 2015  matrix is 1578293 x 1576843 (472.7 MB) with weight 141391278 (89.67/col)
Sat Apr 11 08:33:56 2015  sparse part has weight 106579475 (67.59/col)
Sat Apr 11 08:33:56 2015  matrix needs more columns than rows; try adding 2-3% more relations
Sat Apr 11 10:28:46 2015  
Sat Apr 11 10:28:46 2015  commencing relation filtering
Sat Apr 11 10:28:46 2015  estimated available RAM is 15987.3 MB
Sat Apr 11 10:28:46 2015  commencing duplicate removal, pass 1
Sat Apr 11 10:29:56 2015  skipped 1 relations with b > 2^32
Sat Apr 11 10:29:56 2015  found 4047264 hash collisions in 22152047 relations
Sat Apr 11 10:30:12 2015  added 933 free relations
Sat Apr 11 10:30:12 2015  commencing duplicate removal, pass 2
Sat Apr 11 10:30:31 2015  found 3413958 duplicates and 18739022 unique relations
Sat Apr 11 10:30:31 2015  memory use: 149.2 MB
Sat Apr 11 10:30:31 2015  reading ideals above 720000
Sat Apr 11 10:30:31 2015  commencing singleton removal, initial pass
Sat Apr 11 10:31:55 2015  memory use: 376.5 MB
Sat Apr 11 10:31:55 2015  reading all ideals from disk
Sat Apr 11 10:31:55 2015  memory use: 588.8 MB
Sat Apr 11 10:31:56 2015  keeping 20174630 ideals with weight <= 200, target excess is 116300
Sat Apr 11 10:31:57 2015  commencing in-memory singleton removal
Sat Apr 11 10:31:58 2015  begin with 18739022 relations and 20174630 unique ideals
Sat Apr 11 10:32:05 2015  reduce to 8392204 relations and 7631705 ideals in 15 passes
Sat Apr 11 10:32:05 2015  max relations containing the same ideal: 112
Sat Apr 11 10:32:08 2015  removing 1652043 relations and 1339248 ideals in 312795 cliques
Sat Apr 11 10:32:08 2015  commencing in-memory singleton removal
Sat Apr 11 10:32:08 2015  begin with 6740161 relations and 7631705 unique ideals
Sat Apr 11 10:32:11 2015  reduce to 6476915 relations and 6016859 ideals in 9 passes
Sat Apr 11 10:32:11 2015  max relations containing the same ideal: 96
Sat Apr 11 10:32:13 2015  removing 1303703 relations and 990908 ideals in 312795 cliques
Sat Apr 11 10:32:13 2015  commencing in-memory singleton removal
Sat Apr 11 10:32:13 2015  begin with 5173212 relations and 6016859 unique ideals
Sat Apr 11 10:32:16 2015  reduce to 4974467 relations and 4817653 ideals in 9 passes
Sat Apr 11 10:32:16 2015  max relations containing the same ideal: 80
Sat Apr 11 10:32:17 2015  removing 151917 relations and 130012 ideals in 21905 cliques
Sat Apr 11 10:32:17 2015  commencing in-memory singleton removal
Sat Apr 11 10:32:17 2015  begin with 4822550 relations and 4817653 unique ideals
Sat Apr 11 10:32:19 2015  reduce to 4819918 relations and 4684990 ideals in 6 passes
Sat Apr 11 10:32:19 2015  max relations containing the same ideal: 80
Sat Apr 11 10:32:19 2015  relations with 0 large ideals: 2930
Sat Apr 11 10:32:19 2015  relations with 1 large ideals: 1088
Sat Apr 11 10:32:19 2015  relations with 2 large ideals: 19418
Sat Apr 11 10:32:19 2015  relations with 3 large ideals: 134644
Sat Apr 11 10:32:19 2015  relations with 4 large ideals: 499809
Sat Apr 11 10:32:19 2015  relations with 5 large ideals: 1071118
Sat Apr 11 10:32:19 2015  relations with 6 large ideals: 1417272
Sat Apr 11 10:32:19 2015  relations with 7+ large ideals: 1673639
Sat Apr 11 10:32:19 2015  commencing 2-way merge
Sat Apr 11 10:32:21 2015  reduce to 2984039 relation sets and 2849111 unique ideals
Sat Apr 11 10:32:21 2015  commencing full merge
Sat Apr 11 10:32:50 2015  memory use: 357.2 MB
Sat Apr 11 10:32:50 2015  found 1569517 cycles, need 1551311
Sat Apr 11 10:32:50 2015  weight of 1551311 cycles is about 108617295 (70.02/cycle)
Sat Apr 11 10:32:50 2015  distribution of cycle lengths:
Sat Apr 11 10:32:50 2015  1 relations: 167430
Sat Apr 11 10:32:50 2015  2 relations: 178621
Sat Apr 11 10:32:50 2015  3 relations: 181898
Sat Apr 11 10:32:50 2015  4 relations: 167931
Sat Apr 11 10:32:50 2015  5 relations: 154912
Sat Apr 11 10:32:50 2015  6 relations: 136293
Sat Apr 11 10:32:50 2015  7 relations: 118623
Sat Apr 11 10:32:50 2015  8 relations: 101428
Sat Apr 11 10:32:50 2015  9 relations: 84544
Sat Apr 11 10:32:50 2015  10+ relations: 259631
Sat Apr 11 10:32:50 2015  heaviest cycle: 20 relations
Sat Apr 11 10:32:50 2015  commencing cycle optimization
Sat Apr 11 10:32:52 2015  start with 8897848 relations
Sat Apr 11 10:32:59 2015  pruned 225660 relations
Sat Apr 11 10:32:59 2015  memory use: 289.0 MB
Sat Apr 11 10:32:59 2015  distribution of cycle lengths:
Sat Apr 11 10:32:59 2015  1 relations: 167430
Sat Apr 11 10:32:59 2015  2 relations: 182366
Sat Apr 11 10:32:59 2015  3 relations: 188167
Sat Apr 11 10:32:59 2015  4 relations: 172141
Sat Apr 11 10:32:59 2015  5 relations: 159171
Sat Apr 11 10:32:59 2015  6 relations: 138867
Sat Apr 11 10:32:59 2015  7 relations: 120346
Sat Apr 11 10:32:59 2015  8 relations: 101773
Sat Apr 11 10:32:59 2015  9 relations: 83927
Sat Apr 11 10:32:59 2015  10+ relations: 237123
Sat Apr 11 10:32:59 2015  heaviest cycle: 20 relations
Sat Apr 11 10:33:01 2015  RelProcTime: 255
Sat Apr 11 10:33:01 2015  
Sat Apr 11 10:33:01 2015  commencing linear algebra
Sat Apr 11 10:33:01 2015  read 1551311 cycles
Sat Apr 11 10:33:03 2015  cycles contain 4730432 unique relations
Sat Apr 11 10:33:28 2015  read 4730432 relations
Sat Apr 11 10:33:32 2015  using 20 quadratic characters above 268434732
Sat Apr 11 10:33:47 2015  building initial matrix
Sat Apr 11 10:34:16 2015  memory use: 604.6 MB
Sat Apr 11 10:34:16 2015  read 1551311 cycles
Sat Apr 11 10:34:16 2015  matrix is 1554838 x 1551311 (464.1 MB) with weight 138872673 (89.52/col)
Sat Apr 11 10:34:16 2015  sparse part has weight 104599197 (67.43/col)
Sat Apr 11 10:34:26 2015  filtering completed in 2 passes
Sat Apr 11 10:34:26 2015  matrix is 1551373 x 1549918 (463.8 MB) with weight 138766780 (89.53/col)
Sat Apr 11 10:34:26 2015  sparse part has weight 104525164 (67.44/col)
Sat Apr 11 10:34:30 2015  matrix starts at (0, 0)
Sat Apr 11 10:34:30 2015  matrix is 1551373 x 1549918 (463.8 MB) with weight 138766780 (89.53/col)
Sat Apr 11 10:34:30 2015  sparse part has weight 104525164 (67.44/col)
Sat Apr 11 10:34:30 2015  matrix needs more columns than rows; try adding 2-3% more relations
Sat Apr 11 19:41:31 2015  
Sat Apr 11 19:41:31 2015  commencing relation filtering
Sat Apr 11 19:41:31 2015  estimated available RAM is 15987.3 MB
Sat Apr 11 19:41:31 2015  commencing duplicate removal, pass 1
Sat Apr 11 19:42:44 2015  skipped 1 relations with b > 2^32
Sat Apr 11 19:42:44 2015  found 4142616 hash collisions in 22480209 relations
Sat Apr 11 19:43:01 2015  added 892 free relations
Sat Apr 11 19:43:01 2015  commencing duplicate removal, pass 2
Sat Apr 11 19:43:20 2015  found 3499277 duplicates and 18981824 unique relations
Sat Apr 11 19:43:20 2015  memory use: 149.2 MB
Sat Apr 11 19:43:20 2015  reading ideals above 720000
Sat Apr 11 19:43:20 2015  commencing singleton removal, initial pass
Sat Apr 11 19:44:47 2015  memory use: 376.5 MB
Sat Apr 11 19:44:47 2015  reading all ideals from disk
Sat Apr 11 19:44:47 2015  memory use: 596.5 MB
Sat Apr 11 19:44:48 2015  keeping 20268678 ideals with weight <= 200, target excess is 116342
Sat Apr 11 19:44:49 2015  commencing in-memory singleton removal
Sat Apr 11 19:44:50 2015  begin with 18981824 relations and 20268678 unique ideals
Sat Apr 11 19:44:57 2015  reduce to 8690970 relations and 7821156 ideals in 14 passes
Sat Apr 11 19:44:57 2015  max relations containing the same ideal: 118
Sat Apr 11 19:45:00 2015  removing 1811349 relations and 1443920 ideals in 367429 cliques
Sat Apr 11 19:45:00 2015  commencing in-memory singleton removal
Sat Apr 11 19:45:01 2015  begin with 6879621 relations and 7821156 unique ideals
Sat Apr 11 19:45:03 2015  reduce to 6577310 relations and 6058604 ideals in 9 passes
Sat Apr 11 19:45:03 2015  max relations containing the same ideal: 95
Sat Apr 11 19:45:05 2015  removing 1441184 relations and 1073755 ideals in 367429 cliques
Sat Apr 11 19:45:06 2015  commencing in-memory singleton removal
Sat Apr 11 19:45:06 2015  begin with 5136126 relations and 6058604 unique ideals
Sat Apr 11 19:45:08 2015  reduce to 4901012 relations and 4736513 ideals in 9 passes
Sat Apr 11 19:45:08 2015  max relations containing the same ideal: 81
Sat Apr 11 19:45:10 2015  removing 190794 relations and 161252 ideals in 29542 cliques
Sat Apr 11 19:45:10 2015  commencing in-memory singleton removal
Sat Apr 11 19:45:10 2015  begin with 4710218 relations and 4736513 unique ideals
Sat Apr 11 19:45:11 2015  reduce to 4705838 relations and 4570852 ideals in 6 passes
Sat Apr 11 19:45:11 2015  max relations containing the same ideal: 81
Sat Apr 11 19:45:12 2015  relations with 0 large ideals: 2930
Sat Apr 11 19:45:12 2015  relations with 1 large ideals: 1109
Sat Apr 11 19:45:12 2015  relations with 2 large ideals: 19601
Sat Apr 11 19:45:12 2015  relations with 3 large ideals: 135082
Sat Apr 11 19:45:12 2015  relations with 4 large ideals: 496781
Sat Apr 11 19:45:12 2015  relations with 5 large ideals: 1054292
Sat Apr 11 19:45:12 2015  relations with 6 large ideals: 1382006
Sat Apr 11 19:45:12 2015  relations with 7+ large ideals: 1614037
Sat Apr 11 19:45:12 2015  commencing 2-way merge
Sat Apr 11 19:45:14 2015  reduce to 2931123 relation sets and 2796137 unique ideals
Sat Apr 11 19:45:14 2015  commencing full merge
Sat Apr 11 19:45:42 2015  memory use: 350.8 MB
Sat Apr 11 19:45:43 2015  found 1544580 cycles, need 1526337
Sat Apr 11 19:45:43 2015  weight of 1526337 cycles is about 107017072 (70.11/cycle)
Sat Apr 11 19:45:43 2015  distribution of cycle lengths:
Sat Apr 11 19:45:43 2015  1 relations: 155231
Sat Apr 11 19:45:43 2015  2 relations: 174091
Sat Apr 11 19:45:43 2015  3 relations: 179943
Sat Apr 11 19:45:43 2015  4 relations: 167329
Sat Apr 11 19:45:43 2015  5 relations: 155437
Sat Apr 11 19:45:43 2015  6 relations: 137894
Sat Apr 11 19:45:43 2015  7 relations: 119350
Sat Apr 11 19:45:43 2015  8 relations: 102035
Sat Apr 11 19:45:43 2015  9 relations: 84670
Sat Apr 11 19:45:43 2015  10+ relations: 250357
Sat Apr 11 19:45:43 2015  heaviest cycle: 20 relations
Sat Apr 11 19:45:43 2015  commencing cycle optimization
Sat Apr 11 19:45:45 2015  start with 8757936 relations
Sat Apr 11 19:45:52 2015  pruned 227472 relations
Sat Apr 11 19:45:52 2015  memory use: 283.5 MB
Sat Apr 11 19:45:52 2015  distribution of cycle lengths:
Sat Apr 11 19:45:52 2015  1 relations: 155231
Sat Apr 11 19:45:52 2015  2 relations: 177758
Sat Apr 11 19:45:52 2015  3 relations: 186348
Sat Apr 11 19:45:52 2015  4 relations: 171956
Sat Apr 11 19:45:52 2015  5 relations: 159811
Sat Apr 11 19:45:52 2015  6 relations: 140370
Sat Apr 11 19:45:52 2015  7 relations: 121378
Sat Apr 11 19:45:52 2015  8 relations: 102245
Sat Apr 11 19:45:52 2015  9 relations: 83817
Sat Apr 11 19:45:52 2015  10+ relations: 227423
Sat Apr 11 19:45:52 2015  heaviest cycle: 20 relations
Sat Apr 11 19:45:54 2015  RelProcTime: 263
Sat Apr 11 19:45:54 2015  
Sat Apr 11 19:45:54 2015  commencing linear algebra
Sat Apr 11 19:45:54 2015  read 1526337 cycles
Sat Apr 11 19:45:56 2015  cycles contain 4619092 unique relations
Sat Apr 11 19:46:21 2015  read 4619092 relations
Sat Apr 11 19:46:25 2015  using 20 quadratic characters above 268434732
Sat Apr 11 19:46:40 2015  building initial matrix
Sat Apr 11 19:47:10 2015  memory use: 592.3 MB
Sat Apr 11 19:47:11 2015  read 1526337 cycles
Sat Apr 11 19:47:11 2015  matrix is 1528856 x 1526337 (457.1 MB) with weight 136809726 (89.63/col)
Sat Apr 11 19:47:11 2015  sparse part has weight 103037628 (67.51/col)
Sat Apr 11 19:47:21 2015  filtering completed in 2 passes
Sat Apr 11 19:47:22 2015  matrix is 1526268 x 1525278 (456.9 MB) with weight 136735267 (89.65/col)
Sat Apr 11 19:47:22 2015  sparse part has weight 102986944 (67.52/col)
Sat Apr 11 19:47:26 2015  matrix starts at (0, 0)
Sat Apr 11 19:47:26 2015  matrix is 1526268 x 1525278 (456.9 MB) with weight 136735267 (89.65/col)
Sat Apr 11 19:47:26 2015  sparse part has weight 102986944 (67.52/col)
Sat Apr 11 19:47:26 2015  matrix needs more columns than rows; try adding 2-3% more relations
Sun Apr 12 08:16:49 2015  
Sun Apr 12 08:16:49 2015  commencing relation filtering
Sun Apr 12 08:16:49 2015  estimated available RAM is 15987.3 MB
Sun Apr 12 08:16:49 2015  commencing duplicate removal, pass 1
Sun Apr 12 08:18:04 2015  skipped 1 relations with b > 2^32
Sun Apr 12 08:18:04 2015  found 4286098 hash collisions in 22968471 relations
Sun Apr 12 08:18:20 2015  added 1240 free relations
Sun Apr 12 08:18:20 2015  commencing duplicate removal, pass 2
Sun Apr 12 08:18:41 2015  found 3628122 duplicates and 19341589 unique relations
Sun Apr 12 08:18:41 2015  memory use: 149.2 MB
Sun Apr 12 08:18:41 2015  reading ideals above 720000
Sun Apr 12 08:18:41 2015  commencing singleton removal, initial pass
Sun Apr 12 08:20:14 2015  memory use: 376.5 MB
Sun Apr 12 08:20:14 2015  reading all ideals from disk
Sun Apr 12 08:20:14 2015  memory use: 607.9 MB
Sun Apr 12 08:20:15 2015  keeping 20405984 ideals with weight <= 200, target excess is 116441
Sun Apr 12 08:20:16 2015  commencing in-memory singleton removal
Sun Apr 12 08:20:17 2015  begin with 19341589 relations and 20405984 unique ideals
Sun Apr 12 08:20:26 2015  reduce to 9130494 relations and 8094104 ideals in 16 passes
Sun Apr 12 08:20:26 2015  max relations containing the same ideal: 123
Sun Apr 12 08:20:29 2015  removing 1884234 relations and 1484234 ideals in 400000 cliques
Sun Apr 12 08:20:30 2015  commencing in-memory singleton removal
Sun Apr 12 08:20:30 2015  begin with 7246260 relations and 8094104 unique ideals
Sun Apr 12 08:20:33 2015  reduce to 6937989 relations and 6284485 ideals in 9 passes
Sun Apr 12 08:20:33 2015  max relations containing the same ideal: 98
Sun Apr 12 08:20:36 2015  removing 1506283 relations and 1106283 ideals in 400000 cliques
Sun Apr 12 08:20:36 2015  commencing in-memory singleton removal
Sun Apr 12 08:20:36 2015  begin with 5431706 relations and 6284485 unique ideals
Sun Apr 12 08:20:38 2015  reduce to 5192913 relations and 4925603 ideals in 8 passes
Sun Apr 12 08:20:38 2015  max relations containing the same ideal: 81
Sun Apr 12 08:20:40 2015  removing 603708 relations and 471470 ideals in 132238 cliques
Sun Apr 12 08:20:40 2015  commencing in-memory singleton removal
Sun Apr 12 08:20:40 2015  begin with 4589205 relations and 4925603 unique ideals
Sun Apr 12 08:20:42 2015  reduce to 4544732 relations and 4408633 ideals in 7 passes
Sun Apr 12 08:20:42 2015  max relations containing the same ideal: 75
Sun Apr 12 08:20:44 2015  relations with 0 large ideals: 2930
Sun Apr 12 08:20:44 2015  relations with 1 large ideals: 1128
Sun Apr 12 08:20:44 2015  relations with 2 large ideals: 19861
Sun Apr 12 08:20:44 2015  relations with 3 large ideals: 135640
Sun Apr 12 08:20:44 2015  relations with 4 large ideals: 492218
Sun Apr 12 08:20:44 2015  relations with 5 large ideals: 1029307
Sun Apr 12 08:20:44 2015  relations with 6 large ideals: 1331304
Sun Apr 12 08:20:44 2015  relations with 7+ large ideals: 1532344
Sun Apr 12 08:20:44 2015  commencing 2-way merge
Sun Apr 12 08:20:46 2015  reduce to 2864977 relation sets and 2728878 unique ideals
Sun Apr 12 08:20:46 2015  commencing full merge
Sun Apr 12 08:21:16 2015  memory use: 342.2 MB
Sun Apr 12 08:21:16 2015  found 1510196 cycles, need 1491078
Sun Apr 12 08:21:16 2015  weight of 1491078 cycles is about 104669452 (70.20/cycle)
Sun Apr 12 08:21:16 2015  distribution of cycle lengths:
Sun Apr 12 08:21:16 2015  1 relations: 143389
Sun Apr 12 08:21:16 2015  2 relations: 166040
Sun Apr 12 08:21:16 2015  3 relations: 174426
Sun Apr 12 08:21:16 2015  4 relations: 165642
Sun Apr 12 08:21:16 2015  5 relations: 154435
Sun Apr 12 08:21:16 2015  6 relations: 139497
Sun Apr 12 08:21:16 2015  7 relations: 121792
Sun Apr 12 08:21:16 2015  8 relations: 103678
Sun Apr 12 08:21:16 2015  9 relations: 84942
Sun Apr 12 08:21:16 2015  10+ relations: 237237
Sun Apr 12 08:21:16 2015  heaviest cycle: 20 relations
Sun Apr 12 08:21:16 2015  commencing cycle optimization
Sun Apr 12 08:21:18 2015  start with 8555109 relations
Sun Apr 12 08:21:26 2015  pruned 230037 relations
Sun Apr 12 08:21:26 2015  memory use: 274.9 MB
Sun Apr 12 08:21:26 2015  distribution of cycle lengths:
Sun Apr 12 08:21:26 2015  1 relations: 143389
Sun Apr 12 08:21:26 2015  2 relations: 169516
Sun Apr 12 08:21:26 2015  3 relations: 180835
Sun Apr 12 08:21:26 2015  4 relations: 170090
Sun Apr 12 08:21:26 2015  5 relations: 159266
Sun Apr 12 08:21:26 2015  6 relations: 142409
Sun Apr 12 08:21:26 2015  7 relations: 124213
Sun Apr 12 08:21:26 2015  8 relations: 104157
Sun Apr 12 08:21:26 2015  9 relations: 84237
Sun Apr 12 08:21:26 2015  10+ relations: 212966
Sun Apr 12 08:21:26 2015  heaviest cycle: 19 relations
Sun Apr 12 08:21:31 2015  RelProcTime: 282
Sun Apr 12 08:21:32 2015  
Sun Apr 12 08:21:32 2015  commencing linear algebra
Sun Apr 12 08:21:32 2015  read 1491078 cycles
Sun Apr 12 08:21:33 2015  cycles contain 4451390 unique relations
Sun Apr 12 08:22:01 2015  read 4451390 relations
Sun Apr 12 08:22:05 2015  using 20 quadratic characters above 268434620
Sun Apr 12 08:22:20 2015  building initial matrix
Sun Apr 12 08:22:54 2015  memory use: 573.8 MB
Sun Apr 12 08:22:56 2015  read 1491078 cycles
Sun Apr 12 08:22:56 2015  matrix is 1491171 x 1491078 (446.6 MB) with weight 133726049 (89.68/col)
Sun Apr 12 08:22:56 2015  sparse part has weight 100670476 (67.52/col)
Sun Apr 12 08:23:05 2015  filtering completed in 2 passes
Sun Apr 12 08:23:05 2015  matrix is 1490542 x 1490620 (446.5 MB) with weight 133706544 (89.70/col)
Sun Apr 12 08:23:05 2015  sparse part has weight 100661257 (67.53/col)
Sun Apr 12 08:23:09 2015  matrix starts at (0, 0)
Sun Apr 12 08:23:09 2015  matrix is 1490542 x 1490620 (446.5 MB) with weight 133706544 (89.70/col)
Sun Apr 12 08:23:09 2015  sparse part has weight 100661257 (67.53/col)
Sun Apr 12 08:23:09 2015  saving the first 48 matrix rows for later
Sun Apr 12 08:23:10 2015  matrix includes 64 packed rows
Sun Apr 12 08:23:10 2015  matrix is 1490494 x 1490620 (423.8 MB) with weight 105672328 (70.89/col)
Sun Apr 12 08:23:10 2015  sparse part has weight 96199976 (64.54/col)
Sun Apr 12 08:23:10 2015  using block size 65536 for processor cache size 8192 kB
Sun Apr 12 08:23:13 2015  commencing Lanczos iteration (8 threads)
Sun Apr 12 08:23:13 2015  memory use: 416.9 MB
Sun Apr 12 08:23:18 2015  linear algebra at 0.1%, ETA 1h21m
Sun Apr 12 08:23:20 2015  checkpointing every 1050000 dimensions
Sun Apr 12 09:32:36 2015  lanczos halted after 23567 iterations (dim = 1490451)
Sun Apr 12 09:32:38 2015  recovered 28 nontrivial dependencies
Sun Apr 12 09:32:38 2015  BLanczosTime: 4266
Sun Apr 12 09:32:38 2015  
Sun Apr 12 09:32:38 2015  commencing square root phase
Sun Apr 12 09:32:38 2015  reading relations for dependency 1
Sun Apr 12 09:32:38 2015  read 746169 cycles
Sun Apr 12 09:32:38 2015  cycles contain 2227540 unique relations
Sun Apr 12 09:32:59 2015  read 2227540 relations
Sun Apr 12 09:33:05 2015  multiplying 2227540 relations
Sun Apr 12 09:34:09 2015  multiply complete, coefficients have about 77.36 million bits
Sun Apr 12 09:34:09 2015  initial square root is modulo 357031
Sun Apr 12 09:35:26 2015  GCD is 1, no factor found
Sun Apr 12 09:35:26 2015  reading relations for dependency 2
Sun Apr 12 09:35:26 2015  read 745243 cycles
Sun Apr 12 09:35:27 2015  cycles contain 2224784 unique relations
Sun Apr 12 09:35:47 2015  read 2224784 relations
Sun Apr 12 09:35:54 2015  multiplying 2224784 relations
Sun Apr 12 09:36:56 2015  multiply complete, coefficients have about 77.26 million bits
Sun Apr 12 09:36:56 2015  initial square root is modulo 351391
Sun Apr 12 09:38:14 2015  sqrtTime: 336
--
n: 6124234470691163604549431321084864391951006124234470691163604549431321084864391951006124234470691163604549431321084864391951006124234470691163604549431321084864391951006124234470691
m: 1000000000000000000000000000000000000
deg: 5
c5: 7000
c0: -187
skew: 0.48
# Murphy_E = 4.697e-11
type: snfs
lss: 1
rlim: 8100000
alim: 8100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
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
351e6404118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
286KTakahashiJanuary 8, 2015 16:55:45 UTC 2015 年 1 月 9 日 (金) 1 時 55 分 45 秒 (日本時間)
403e62400300Serge BatalovJanuary 9, 2015 00:06:52 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 52 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 20:08:46 UTC 2015 年 1 月 11 日 (日) 5 時 8 分 46 秒 (日本時間)

7×10184-1879

c177

name 名前Jo Yeong Uk
date 日付June 12, 2016 23:25:24 UTC 2016 年 6 月 13 日 (月) 8 時 25 分 24 秒 (日本時間)
composite number 合成数
135066138501723250010897425481758678360700656210922893938737816158789139632035807160154305190811860426982306816305824067521276047454160255390618382814417622605462356736287530401<177>
prime factors 素因数
71219934442157755855210830059230028362197584060450953728373158692238066189582967<80>
1896465358465319317127194718700023728008989224334487847228887744579239052031249766980682105294503<97>
factorization results 素因数分解の結果
Number: 77757_184
N=135066138501723250010897425481758678360700656210922893938737816158789139632035807160154305190811860426982306816305824067521276047454160255390618382814417622605462356736287530401
  ( 177 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=71219934442157755855210830059230028362197584060450953728373158692238066189582967
 r2=1896465358465319317127194718700023728008989224334487847228887744579239052031249766980682105294503
Version: 
Total time: 81.24 hours.
Scaled time: 427.26 units (timescale=5.259).
Factorization parameters were as follows:
n: 135066138501723250010897425481758678360700656210922893938737816158789139632035807160154305190811860426982306816305824067521276047454160255390618382814417622605462356736287530401
m: 10000000000000000000000000000000000000
deg: 5
c5: 7
c0: -1870
skew: 3.06
# Murphy_E = 4.765e-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, 7400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20490250
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1671487 x 1671735
Total sieving time: 75.62 hours.
Total relation processing time: 1.98 hours.
Matrix solve time: 3.55 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,54,54,2.5,2.5,100000
total time: 81.24 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
351e6404118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
286KTakahashiJanuary 8, 2015 16:56:02 UTC 2015 年 1 月 9 日 (金) 1 時 56 分 2 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:06:52 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 52 秒 (日本時間)
4511e6563 / 4396CypMay 27, 2015 00:56:48 UTC 2015 年 5 月 27 日 (水) 9 時 56 分 48 秒 (日本時間)

7×10185-1879

c152

name 名前Jo Yeong Uk
date 日付August 13, 2016 04:28:53 UTC 2016 年 8 月 13 日 (土) 13 時 28 分 53 秒 (日本時間)
composite number 合成数
26247351844940316926474759605737807762384829211261893461937266600662369223546738567319528692329392845320601528157493269524809872565619729773511326059519<152>
prime factors 素因数
77692555531648415735667773357270186661580845608384010552493425457996067<71>
337836124263518900665536671406543410910404527769196250327663574724462429667831157<81>
factorization results 素因数分解の結果
Number: 77757_185
N=26247351844940316926474759605737807762384829211261893461937266600662369223546738567319528692329392845320601528157493269524809872565619729773511326059519
  ( 152 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=77692555531648415735667773357270186661580845608384010552493425457996067
 r2=337836124263518900665536671406543410910404527769196250327663574724462429667831157
Version: 
Total time: 77.12 hours.
Scaled time: 404.82 units (timescale=5.249).
Factorization parameters were as follows:
n: 26247351844940316926474759605737807762384829211261893461937266600662369223546738567319528692329392845320601528157493269524809872565619729773511326059519
m: 10000000000000000000000000000000000000
deg: 5
c5: 7
c0: -187
skew: 1.93
# Murphy_E = 5.378e-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, 7200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20514976
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1617734 x 1617982
Total sieving time: 71.77 hours.
Total relation processing time: 1.89 hours.
Matrix solve time: 3.29 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,54,54,2.5,2.5,100000
total time: 77.12 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
351e6404118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
286KTakahashiJanuary 8, 2015 16:56:18 UTC 2015 年 1 月 9 日 (金) 1 時 56 分 18 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:06:53 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 53 秒 (日本時間)
4511e6600 / 4396KTakahashiMay 29, 2015 10:54:26 UTC 2015 年 5 月 29 日 (金) 19 時 54 分 26 秒 (日本時間)

7×10186-1879

c148

name 名前Erik Branger
date 日付January 15, 2017 09:34:42 UTC 2017 年 1 月 15 日 (日) 18 時 34 分 42 秒 (日本時間)
composite number 合成数
5960601566126280626058979646147805821171519576328630686468231320063850259904346050714147498436247797238613584215772902573096677225529998584720864241<148>
prime factors 素因数
12652061929837960672379972935549655633186739271765496749<56>
471117008372296207162652197412599741350705100511924151435386392640053166717301655534166231509<93>
factorization results 素因数分解の結果
Number: 77757_186
N = 5960601566126280626058979646147805821171519576328630686468231320063850259904346050714147498436247797238613584215772902573096677225529998584720864241 (148 digits)
SNFS difficulty: 187 digits.
Divisors found:
r1=12652061929837960672379972935549655633186739271765496749 (pp56)
r2=471117008372296207162652197412599741350705100511924151435386392640053166717301655534166231509 (pp93)
Version: Msieve v. 1.51 (SVN 845)
Total time: 193.85 hours.
Factorization parameters were as follows:
n: 5960601566126280626058979646147805821171519576328630686468231320063850259904346050714147498436247797238613584215772902573096677225529998584720864241
m: 10000000000000000000000000000000000000
deg: 5
c5: 70
c0: -187
skew: 1.22
# Murphy_E = 4.109e-11
type: snfs
lss: 1
rlim: 9100000
alim: 9100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9100000/9100000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 23135281
Relations: 3027954 relations
Pruned matrix : 1896631 x 1896859
Polynomial selection time: 0.00 hours.
Total sieving time: 189.96 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 3.45 hours.
time per square root: 0.30 hours.
Prototype def-par.txt line would be: snfs,187,5,0,0,0,0,0,0,0,0,9100000,9100000,28,28,54,54,2.5,2.5,100000
total time: 193.85 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 8, speed: 2.29GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6404118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
286KTakahashiJanuary 8, 2015 16:56:28 UTC 2015 年 1 月 9 日 (金) 1 時 56 分 28 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:06:54 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 54 秒 (日本時間)
1CypJanuary 9, 2015 00:13:43 UTC 2015 年 1 月 9 日 (金) 9 時 13 分 43 秒 (日本時間)
4511e6562 / 4395CypMay 22, 2015 16:28:04 UTC 2015 年 5 月 23 日 (土) 1 時 28 分 4 秒 (日本時間)

7×10188-1879

c129

name 名前Erik Branger
date 日付February 16, 2015 18:04:19 UTC 2015 年 2 月 17 日 (火) 3 時 4 分 19 秒 (日本時間)
composite number 合成数
178922185742429156216716576678437258028837117621562220227090103099404225872014664819722009664741170421294642344549803607846853261<129>
prime factors 素因数
2467972527878790645308693618447444883787298358419953<52>
72497640764345067487074147143638028174841096042217862975860151235828734355037<77>
factorization results 素因数分解の結果
Number: 77757_188
N = 178922185742429156216716576678437258028837117621562220227090103099404225872014664819722009664741170421294642344549803607846853261 (129 digits)
Divisors found:
r1=2467972527878790645308693618447444883787298358419953 (pp52)
r2=72497640764345067487074147143638028174841096042217862975860151235828734355037 (pp77)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 39.73 hours.
Factorization parameters were as follows:
# Murphy_E = 9.85e-11, selected by Maksym Voznyy
n: 178922185742429156216716576678437258028837117621562220227090103099404225872014664819722009664741170421294642344549803607846853261
Y0: -7774362980543270241061430
Y1: 7765298211719
c0: -185629490134560039034348657900311
c1: 1952218669665172521665760035
c2: -209593491800635199525
c3: -29143670934751615
c4: -6145493604
c5: 6300
skew: 612554.58
type: gnfs
# selected mechanically
rlim: 8800000
alim: 8800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8800000/8800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 17277083
Relations: 2236568 relations
Pruned matrix : 1290469 x 1290699
Polynomial selection time: 0.00 hours.
Total sieving time: 38.48 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.10 hours.
time per square root: 0.06 hours.
Prototype def-par.txt line would be: gnfs,128,5,65,2000,1e-05,0.28,250,20,50000,3600,8800000,8800000,28,28,53,53,2.5,2.5,100000
total time: 39.73 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
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 16:56:41 UTC 2015 年 1 月 9 日 (金) 1 時 56 分 41 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:06:55 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 55 秒 (日本時間)
4511e6682 / 4372Pierre JammesFebruary 3, 2015 06:29:21 UTC 2015 年 2 月 3 日 (火) 15 時 29 分 21 秒 (日本時間)

7×10190-1879

c188

name 名前Ben Meekins
date 日付September 9, 2015 06:40:44 UTC 2015 年 9 月 9 日 (水) 15 時 40 分 44 秒 (日本時間)
composite number 合成数
93708165997322623828647925033467202141900937081659973226238286479250334672021419009370816599732262382864792503346720214190093708165997322623828647925033467202141900937081659973226238286479<188>
prime factors 素因数
13615905628886226578811080356644936411138154250662587601<56>
4738691459558949195374930040790197031463833867776699655437359<61>
1452353959971924867948300601430252957576437589941757527232548137451760081<73>
factorization results 素因数分解の結果
Number: 77757_190
N = 93708165997322623828647925033467202141900937081659973226238286479250334672021419009370816599732262382864792503346720214190093708165997322623828647925033467202141900937081659973226238286479 (188 digits)
SNFS difficulty: 191 digits.
Divisors found:
r1=13615905628886226578811080356644936411138154250662587601 (pp56)
r2=4738691459558949195374930040790197031463833867776699655437359 (pp61)
r3=1452353959971924867948300601430252957576437589941757527232548137451760081 (pp73)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 38.83 hours.
Factorization parameters were as follows:
n: 93708165997322623828647925033467202141900937081659973226238286479250334672021419009370816599732262382864792503346720214190093708165997322623828647925033467202141900937081659973226238286479
m: 100000000000000000000000000000000000000
deg: 5
c5: 7
c0: -187
skew: 1.93
# Murphy_E = 3.354e-11
type: snfs
lss: 1
rlim: 10600000
alim: 10600000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10600000/10600000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 22749602
Relations: 3627018 relations
Pruned matrix : 2239254 x 2239478
Polynomial selection time: 0.00 hours.
Total sieving time: 34.53 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 3.86 hours.
time per square root: 0.28 hours.
Prototype def-par.txt line would be: snfs,191,5,0,0,0,0,0,0,0,0,10600000,10600000,28,28,54,54,2.5,2.5,200000
total time: 38.83 hours.
x86_64
Linux-3.13.0-62-generic-x86_64-with-Ubuntu-14.04-trusty
processors: 4, speed: 0.80GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6404118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
286KTakahashiJanuary 8, 2015 16:56:51 UTC 2015 年 1 月 9 日 (金) 1 時 56 分 51 秒 (日本時間)
403e62400300Serge BatalovJanuary 9, 2015 00:06:55 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 55 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 20:08:51 UTC 2015 年 1 月 11 日 (日) 5 時 8 分 51 秒 (日本時間)

7×10191-1879

c162

composite cofactor 合成数の残り
112108744843260455667982998802567637889822327537806337008505564671409370860349057699621454294550028338248637876418003354043282764362409694253358990214826727564327<162>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6404118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
286KTakahashiJanuary 8, 2015 16:57:11 UTC 2015 年 1 月 9 日 (金) 1 時 57 分 11 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:06:56 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 56 秒 (日本時間)
4511e6563 / 4396CypJune 24, 2015 16:57:24 UTC 2015 年 6 月 25 日 (木) 1 時 57 分 24 秒 (日本時間)

7×10194-1879

c164

composite cofactor 合成数の残り
27031758001546498659275065169980674311464119513105275647888308905641607471360208146192943162007699230108755341477561529583620561800050085135607822381258889025104577<164>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6404118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
286KTakahashiJanuary 8, 2015 16:57:28 UTC 2015 年 1 月 9 日 (金) 1 時 57 分 28 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:06:57 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 57 秒 (日本時間)
4511e6563 / 4396CypMay 28, 2015 13:41:18 UTC 2015 年 5 月 28 日 (木) 22 時 41 分 18 秒 (日本時間)

7×10195-1879

c178

name 名前KTakahashi
date 日付January 8, 2015 16:58:44 UTC 2015 年 1 月 9 日 (金) 1 時 58 分 44 秒 (日本時間)
composite number 合成数
8761713051114909281978852354083588109298643804219671553054697282030762171852603190356451162803515040642978618352764815987468797319757590943887056663821343361117819993316080813009<178>
prime factors 素因数
4492348486308680275156467187<28>
7723793430528905180933050826281<31>
composite cofactor 合成数の残り
252513695044015868339424770138205069162976338322385269362642898417197278412500914797725056384411249558657238489878544947<120>
factorization results 素因数分解の結果
Input number is 8761713051114909281978852354083588109298643804219671553054697282030762171852603190356451162803515040642978618352764815987468797319757590943887056663821343361117819993316080813009 (178 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2661936531
Step 1 took 5335ms
Step 2 took 2964ms
********** Factor found in step 2: 4492348486308680275156467187
Found probable prime factor of 28 digits: 4492348486308680275156467187
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1221834267
Step 1 took 4259ms
Step 2 took 2574ms
********** Factor found in step 2: 7723793430528905180933050826281
Found probable prime factor of 31 digits: 7723793430528905180933050826281
Composite cofactor 252513695044015868339424770138205069162976338322385269362642898417197278412500914797725056384411249558657238489878544947 has 120 digits
software ソフトウェア
GMP-ECM 6.4.4

c120

name 名前Erik Branger
date 日付January 29, 2015 22:49:32 UTC 2015 年 1 月 30 日 (金) 7 時 49 分 32 秒 (日本時間)
composite number 合成数
252513695044015868339424770138205069162976338322385269362642898417197278412500914797725056384411249558657238489878544947<120>
prime factors 素因数
11981964845060491286225665647220732719407<41>
21074481381750460798827676860250160113293656488044083119764786504688424218908221<80>
factorization results 素因数分解の結果
Number: 77757_195
N = 252513695044015868339424770138205069162976338322385269362642898417197278412500914797725056384411249558657238489878544947 (120 digits)
Divisors found:
r1=11981964845060491286225665647220732719407 (pp41)
r2=21074481381750460798827676860250160113293656488044083119764786504688424218908221 (pp80)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 14.86 hours.
Factorization parameters were as follows:
# Murphy_E = 3.002e-10, selected by Erik Branger
# expecting poly E from 3.55e-010 to > 4.08e-010
n: 252513695044015868339424770138205069162976338322385269362642898417197278412500914797725056384411249558657238489878544947
Y0: -124341423740979189389824
Y1: 1918117541119
c0: 4633075872524292444462285
c1: 2189276366858592519424521
c2: 128821874410598142737
c3: 1690037231951207
c4: -11091108798
c5: 8496
skew: 105715.08
type: gnfs
# selected mechanically
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 9352114
Relations: 1034852 relations
Pruned matrix : 618474 x 618704
Polynomial selection time: 0.00 hours.
Total sieving time: 14.57 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.22 hours.
time per square root: 0.02 hours.
Prototype def-par.txt line would be: gnfs,119,5,63,2000,2.6e-05,0.28,250,20,50000,3600,5100000,5100000,27,27,51,51,2.5,2.5,100000
total time: 14.86 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
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 16:57:59 UTC 2015 年 1 月 9 日 (金) 1 時 57 分 59 秒 (日本時間)

7×10196-1879

c156

composite cofactor 合成数の残り
332299775986069734138963552288478408916255544920295487846686017547929357539697368657686506674110005520205619177513562332496609746742707896688543900666070899<156>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6404118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
286KTakahashiJanuary 8, 2015 16:58:59 UTC 2015 年 1 月 9 日 (金) 1 時 58 分 59 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:06:57 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 57 秒 (日本時間)
1CypJanuary 9, 2015 00:57:46 UTC 2015 年 1 月 9 日 (金) 9 時 57 分 46 秒 (日本時間)
4511e6600 / 4395Dmitry DomanovJanuary 13, 2017 12:06:37 UTC 2017 年 1 月 13 日 (金) 21 時 6 分 37 秒 (日本時間)

7×10197-1879

c153

name 名前KTakahashi
date 日付January 8, 2015 17:00:28 UTC 2015 年 1 月 9 日 (金) 2 時 0 分 28 秒 (日本時間)
composite number 合成数
265757156655016253420973155008326376713557016667324542322867842068780627048678456883659841093132779841377285026178645356638552180732126014286233822287523<153>
prime factors 素因数
1326705092036691752563936129666991<34>
composite cofactor 合成数の残り
200313662961102431695821581370884011454846756860171582739478090162668318532517547232096038879595417189865957076191007053<120>
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 265757156655016253420973155008326376713557016667324542322867842068780627048678456883659841093132779841377285026178645356638552180732126014286233822287523 (153 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=710378811
Step 1 took 3604ms
Step 2 took 2184ms
********** Factor found in step 2: 1326705092036691752563936129666991
Found probable prime factor of 34 digits: 1326705092036691752563936129666991
Composite cofactor 200313662961102431695821581370884011454846756860171582739478090162668318532517547232096038879595417189865957076191007053 has 120 digits

c120

name 名前Erik Branger
date 日付January 29, 2015 18:52:24 UTC 2015 年 1 月 30 日 (金) 3 時 52 分 24 秒 (日本時間)
composite number 合成数
200313662961102431695821581370884011454846756860171582739478090162668318532517547232096038879595417189865957076191007053<120>
prime factors 素因数
2526995947158402077876580669099007579237222152197<49>
79269483271769561264504248417659785687407152206506092226115148203630249<71>
factorization results 素因数分解の結果
Number: 77757_197
N = 200313662961102431695821581370884011454846756860171582739478090162668318532517547232096038879595417189865957076191007053 (120 digits)
Divisors found:
r1=2526995947158402077876580669099007579237222152197 (pp49)
r2=79269483271769561264504248417659785687407152206506092226115148203630249 (pp71)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 15.17 hours.
Factorization parameters were as follows:
# Murphy_E = 3.276e-10, selected by Erik Branger
# expecting poly E from 3.59e-010 to > 4.13e-010
n: 200313662961102431695821581370884011454846756860171582739478090162668318532517547232096038879595417189865957076191007053
Y0: -133341238175125313156422
Y1: 2021466506153
c0: 6028235475817277765865242475
c1: -139399484660837894024487
c2: -22612003709943406829
c3: 555007723607027
c4: 8461098342
c5: 4752
skew: 55943.78
type: gnfs
# selected mechanically
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 9523722
Relations: 965352 relations
Pruned matrix : 578011 x 578236
Polynomial selection time: 0.00 hours.
Total sieving time: 14.89 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.20 hours.
time per square root: 0.02 hours.
Prototype def-par.txt line would be: gnfs,119,5,63,2000,2.6e-05,0.28,250,20,50000,3600,5000000,5000000,27,27,51,51,2.5,2.5,100000
total time: 15.17 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
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 16:59:17 UTC 2015 年 1 月 9 日 (金) 1 時 59 分 17 秒 (日本時間)

7×10198-1879

c181

composite cofactor 合成数の残り
1749262676401989873921350036329118596189078825844425323538377682170540675767118508039549714750178811875213306432154397500917768974189524759363128947105007162616258479278896017062087<181>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6404118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
286KTakahashiJanuary 8, 2015 17:00:40 UTC 2015 年 1 月 9 日 (金) 2 時 0 分 40 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:06:58 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 58 秒 (日本時間)
1CypJanuary 9, 2015 00:57:06 UTC 2015 年 1 月 9 日 (金) 9 時 57 分 6 秒 (日本時間)
4511e6562 / 4395CypJune 1, 2015 13:19:23 UTC 2015 年 6 月 1 日 (月) 22 時 19 分 23 秒 (日本時間)

7×10203-1879

c177

composite cofactor 合成数の残り
432029358681227421511214198448342528823478822889374940642027273921361610130534618509988144325658676121158142481832117210101591514907070206680453678685659960702239231611915931791<177>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:06:59 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 59 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovJanuary 13, 2017 12:07:03 UTC 2017 年 1 月 13 日 (金) 21 時 7 分 3 秒 (日本時間)

7×10204-1879

c204

name 名前Jo Yeong Uk
date 日付June 22, 2015 11:07:14 UTC 2015 年 6 月 22 日 (月) 20 時 7 分 14 秒 (日本時間)
composite number 合成数
777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777757<204>
prime factors 素因数
956887461492843634051948645920577692986809<42>
812820534364996085771978046991503515277091690042218503891673160697837579825464360518514333421635578028311920893595328832062936319665449251064171134355955367122373<162>
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 777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777757 (204 digits)
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2074483226
Step 1 took 161497ms
********** Factor found in step 1: 956887461492843634051948645920577692986809
Found probable prime factor of 42 digits: 956887461492843634051948645920577692986809
Probable prime cofactor 812820534364996085771978046991503515277091690042218503891673160697837579825464360518514333421635578028311920893595328832062936319665449251064171134355955367122373 has 162 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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62400300Serge BatalovJanuary 9, 2015 00:06:59 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 59 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 20:08:59 UTC 2015 年 1 月 11 日 (日) 5 時 8 分 59 秒 (日本時間)
4511e6436KTakahashiMarch 8, 2015 13:56:34 UTC 2015 年 3 月 8 日 (日) 22 時 56 分 34 秒 (日本時間)
5043e61000 / 7364Serge BatalovJanuary 11, 2015 21:22:41 UTC 2015 年 1 月 12 日 (月) 6 時 22 分 41 秒 (日本時間)

7×10207-1879

c169

composite cofactor 合成数の残り
1023047582201856801025289244061721292768763728604982115984227101368362590494202702934889644983948299670814565118700000403273370992863377582746211548360561348507859988219<169>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:07:00 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 0 秒 (日本時間)
4511e6585 / 4409CypJune 19, 2015 17:25:58 UTC 2015 年 6 月 20 日 (土) 2 時 25 分 58 秒 (日本時間)

7×10208-1879

c155

composite cofactor 合成数の残り
16681999970388537803029601920297533273754772279642872005674060289063045810428818438678892783661636536867449087353045049386786584879561349655410921749596003<155>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:07:00 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 0 秒 (日本時間)
1CypJanuary 9, 2015 01:21:39 UTC 2015 年 1 月 9 日 (金) 10 時 21 分 39 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovJanuary 13, 2017 13:28:18 UTC 2017 年 1 月 13 日 (金) 22 時 28 分 18 秒 (日本時間)

7×10209-1879

c142

name 名前Serge Batalov
date 日付January 10, 2015 23:36:09 UTC 2015 年 1 月 11 日 (日) 8 時 36 分 9 秒 (日本時間)
composite number 合成数
9487399262995980090918823583026158426794854530919939940839980492176406131726291948259943135014369065919887884121452350335704502584420333194059<142>
prime factors 素因数
1509357305382163213262477497151727527533<40>
composite cofactor 合成数の残り
6285721233246231691143046399275595748870197282623838042930272927931768866840183319312653818291309577623<103>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1061426181
Step 1 took 9183ms
Step 2 took 7718ms
********** Factor found in step 2: 1509357305382163213262477497151727527533
Found probable prime factor of 40 digits: 1509357305382163213262477497151727527533
Composite cofactor 

c103

name 名前Erik Branger
date 日付January 11, 2015 18:30:24 UTC 2015 年 1 月 12 日 (月) 3 時 30 分 24 秒 (日本時間)
composite number 合成数
6285721233246231691143046399275595748870197282623838042930272927931768866840183319312653818291309577623<103>
prime factors 素因数
13935441606305132905171969389638023202275952807<47>
451060067619402747637854303388430503211495570584136665489<57>
factorization results 素因数分解の結果
Number: 77757_209
N = 6285721233246231691143046399275595748870197282623838042930272927931768866840183319312653818291309577623 (103 digits)
Divisors found:
r1=13935441606305132905171969389638023202275952807 (pp47)
r2=451060067619402747637854303388430503211495570584136665489 (pp57)
Version: Msieve v. 1.51 (SVN 845)
Total time: 3.32 hours.
Factorization parameters were as follows:
n: 6285721233246231691143046399275595748870197282623838042930272927931768866840183319312653818291309577623
Y0: -15532327892744026089318004
Y1: 44707033610965
c0: 12542270701649640180266154807
c1: 23777564548722189302960
c2: -19009803470861315
c3: -1281998440
c4: 108
skew: 6962821.36
type: gnfs
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Sieved algebraic special-q in [0, 0)
Total raw relations: 4506484
Relations: 592638 relations
Pruned matrix : 324430 x 324658
Polynomial selection time: 0.00 hours.
Total sieving time: 3.09 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.08 hours.
time per square root: 0.12 hours.
Prototype def-par.txt line would be: gnfs,102,4,59,2000,0.0009,0.35,200,15,15000,2000,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 3.32 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:07:01 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 1 秒 (日本時間)

7×10210-1879

c165

composite cofactor 合成数の残り
115604716953620980409112875679846992894758247572375717232862165035891776736024234268462505278921785719060626210267811845453380947333974674618080390668434060302769987<165>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6581281CypJanuary 8, 2015 21:01:45 UTC 2015 年 1 月 9 日 (金) 6 時 1 分 45 秒 (日本時間)
300Serge BatalovJanuary 9, 2015 00:07:01 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 1 秒 (日本時間)
4511e6600 / 4347Dmitry DomanovJanuary 13, 2017 13:28:49 UTC 2017 年 1 月 13 日 (金) 22 時 28 分 49 秒 (日本時間)

7×10211-1879

c142

name 名前Erik Branger
date 日付March 8, 2017 16:49:37 UTC 2017 年 3 月 9 日 (木) 1 時 49 分 37 秒 (日本時間)
composite number 合成数
4031386019300246160147858148861758076541095500831694013955908055850279560470129924088564776297831510088389454219742119977514761367408790675889<142>
prime factors 素因数
3118843176597726134105761606752631870401133493783<49>
1292590165978781883213943333889668181413241942766259913835016668674170352505688608196303979383<94>
factorization results 素因数分解の結果
Number: 77757_211
N = 4031386019300246160147858148861758076541095500831694013955908055850279560470129924088564776297831510088389454219742119977514761367408790675889 (142 digits)
Divisors found:
r1=3118843176597726134105761606752631870401133493783 (pp49)
r2=1292590165978781883213943333889668181413241942766259913835016668674170352505688608196303979383 (pp94)
Version: Msieve v. 1.51 (SVN 845)
Total time: 476.79 hours.
Factorization parameters were as follows:
# Murphy_E = 1.64814211e-11, selected by Maksym Voznyy
# selected by CADO-NFS
n: 4031386019300246160147858148861758076541095500831694013955908055850279560470129924088564776297831510088389454219742119977514761367408790675889
Y0: -4044648759741401388455568143
Y1: 3191943395524331591
c0: 3096796122668014996609211704077072
c1: -4680906625037548078646701868
c2: -45197365212086648757708
c3: -182798124847368133
c4: 82798008870
c5: 55800
skew: 892031.60925
type: gnfs
# selected mechanically
rlim: 20000000
alim: 20000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23258922
Relations: 4315470 relations
Pruned matrix : 2659548 x 2659773
Polynomial selection time: 0.00 hours.
Total sieving time: 468.66 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 7.07 hours.
time per square root: 0.86 hours.
Prototype def-par.txt line would be: gnfs,141,5,65,2000,1e-05,0.28,250,20,50000,3600,20000000,20000000,28,28,56,56,2.6,2.6,100000
total time: 476.79 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 8, speed: 2.29GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62400300Serge BatalovJanuary 9, 2015 00:07:02 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 2 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 23:39:15 UTC 2015 年 1 月 11 日 (日) 8 時 39 分 15 秒 (日本時間)
4511e6800 / 2541Dmitry DomanovFebruary 29, 2016 07:51:54 UTC 2016 年 2 月 29 日 (月) 16 時 51 分 54 秒 (日本時間)
5043e6400 / 7282Ignacio SantosFebruary 3, 2017 23:04:11 UTC 2017 年 2 月 4 日 (土) 8 時 4 分 11 秒 (日本時間)

7×10212-1879

c200

composite cofactor 合成数の残り
11391372277782328067235601095909092118591955508469679820517110475338427417577651547549942562640493426193788127993065038499912418506731833829377116376872206410018722221135319163757116669353085246430511<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:07:02 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 2 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovJanuary 13, 2017 13:29:46 UTC 2017 年 1 月 13 日 (金) 22 時 29 分 46 秒 (日本時間)

7×10213-1879

c196

name 名前Dmitry Domanov
date 日付January 13, 2017 16:12:27 UTC 2017 年 1 月 14 日 (土) 1 時 12 分 27 秒 (日本時間)
composite number 合成数
1827338119588420157013029524023351442696529803692906292600213860862585599663721093679959429345216627188762763553933865353425622362915242892499998940492334812690324334460101335943048652920509194391<196>
prime factors 素因数
88678803261152619609079821925023269948303<41>
composite cofactor 合成数の残り
20606255975365865377219622343613909090305648834014244883535258264709545236076249573926858230865292181947956667273647744035396287610570380346487066583103097<155>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2536901360
Step 1 took 98484ms
Step 2 took 30285ms
********** Factor found in step 2: 88678803261152619609079821925023269948303
Found probable prime factor of 41 digits: 88678803261152619609079821925023269948303
Composite cofactor 20606255975365865377219622343613909090305648834014244883535258264709545236076249573926858230865292181947956667273647744035396287610570380346487066583103097 has 155 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:07:03 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 3 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovJanuary 13, 2017 13:29:17 UTC 2017 年 1 月 13 日 (金) 22 時 29 分 17 秒 (日本時間)

7×10215-1879

c174

composite cofactor 合成数の残り
228211073320093818885590634304902248189672467453071999722070745934474477410110511745379315187116653238705753737362890440655250399561674740091660746648517928110726396963271847<174>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:07:03 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 3 秒 (日本時間)
4511e6585 / 4409CypJune 30, 2015 12:26:29 UTC 2015 年 6 月 30 日 (火) 21 時 26 分 29 秒 (日本時間)

7×10216-1879

c162

name 名前Serge Batalov
date 日付June 20, 2015 06:13:22 UTC 2015 年 6 月 20 日 (土) 15 時 13 分 22 秒 (日本時間)
composite number 合成数
119151917785044277552620688982031673696372842537020372389970492638832560270800046279941770823325757179233037151989790303017698921247506831194680565694809792325647<162>
prime factors 素因数
126230300082121362308021642334854143919<39>
943924855660866547012465578864826519164098669095743250797426173280202440984759022439224190641614516224596764863158383441313<123>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3488645706
Step 1 took 12181ms
Step 2 took 10197ms
********** Factor found in step 2: 126230300082121362308021642334854143919
Found probable prime factor of 39 digits: 126230300082121362308021642334854143919
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301 / 2318300Serge BatalovJanuary 9, 2015 00:07:04 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 4 秒 (日本時間)
1CypJanuary 9, 2015 01:21:36 UTC 2015 年 1 月 9 日 (金) 10 時 21 分 36 秒 (日本時間)

7×10218-1879

c213

name 名前Bob Backstrom
date 日付June 6, 2018 03:07:29 UTC 2018 年 6 月 6 日 (水) 12 時 7 分 29 秒 (日本時間)
composite number 合成数
909075561061956096845118199303128648477363369189870820362773096038638308703879025419051366665238119356426449943052909496333178790487952800796869663239451801463092181560571055293871661907006764820853673899012094601<213>
prime factors 素因数
466374156921970685260429339105479278979915422622463771600528724087754320508329557528946120447947763<99>
1949240856444054693055862473150906772270481205608501349854114299454805602833640869779373483377073734780672776635027<115>
factorization results 素因数分解の結果
Number: n
N=909075561061956096845118199303128648477363369189870820362773096038638308703879025419051366665238119356426449943052909496333178790487952800796869663239451801463092181560571055293871661907006764820853673899012094601
  ( 213 digits)
SNFS difficulty: 218 digits.
Divisors found:

Wed Jun  6 12:12:20 2018  p99 factor: 466374156921970685260429339105479278979915422622463771600528724087754320508329557528946120447947763
Wed Jun  6 12:12:20 2018  p115 factor: 1949240856444054693055862473150906772270481205608501349854114299454805602833640869779373483377073734780672776635027
Wed Jun  6 12:12:20 2018  elapsed time 07:32:01 (Msieve 1.53 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.122).
Factorization parameters were as follows:
#
# 7x10^218-187 = 7(216)57
#
n: 909075561061956096845118199303128648477363369189870820362773096038638308703879025419051366665238119356426449943052909496333178790487952800796869663239451801463092181560571055293871661907006764820853673899012094601
m: 1000000000000000000000000000000000000
deg: 6
c6: 700
c0: -187
skew: 0.80
# Murphy_E = 1.974e-12
type: snfs
lss: 1
rlim: 31000000
alim: 31000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 31000000/31000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 85900000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 15153519 hash collisions in 75988047 relations (61499126 unique)
Msieve: matrix is 4278337 x 4278562 (1215.8 MB)

Sieving start time: 2018/06/03 23:36:26
Sieving end time  : 2018/06/06 04:37:52

Total sieving time: 53hrs 1min 26secs.

Total relation processing time: 6hrs 54min 28sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 16min 22sec.

Prototype def-par.txt line would be:
snfs,218,6,0,0,0,0,0,0,0,0,31000000,31000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.036000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16286860K/16703460K available (12300K kernel code, 2470K rwdata, 4240K rodata, 2404K init, 2416K bss, 416600K reserved, 0K cma-reserved)
[    0.068658] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.63 BogoMIPS (lpj=11977272)
[    0.066211] smpboot: Total of 16 processors activated (95818.17 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62401300Serge BatalovJanuary 9, 2015 00:07:05 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 5 秒 (日本時間)
1CypJanuary 9, 2015 00:59:13 UTC 2015 年 1 月 9 日 (金) 9 時 59 分 13 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 20:09:08 UTC 2015 年 1 月 11 日 (日) 5 時 9 分 8 秒 (日本時間)

7×10219-1879

c207

composite cofactor 合成数の残り
381258986234440493424100459847478800832229905938649391774584402292460421892083507526700969089212482926554199719053596151387495710691009705685090269342759804962476842365468571475856776179066227018154508276877<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301 / 2318300Serge BatalovJanuary 9, 2015 00:07:05 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 5 秒 (日本時間)
1CypJanuary 9, 2015 00:59:25 UTC 2015 年 1 月 9 日 (金) 9 時 59 分 25 秒 (日本時間)

7×10220-1879

c213

name 名前Erik Branger
date 日付February 13, 2018 16:49:43 UTC 2018 年 2 月 14 日 (水) 1 時 49 分 43 秒 (日本時間)
composite number 合成数
218241981090460961328054084752695778731488999657918165611050469458922539526420949454318506693336585014141877721393714866022385784610273244291665080904843350442288731216540133239660133758203080829138324944594830317<213>
prime factors 素因数
10634016366433025806855506328011667447697704059936041331658915701833764591064080176192160707947<95>
20523005943394649287519750363574438542868546951268923534629631350308438968080229783671285326350871754277838442648840711<119>
factorization results 素因数分解の結果
Number: 77747_220
N = 218241981090460961328054084752695778731488999657918165611050469458922539526420949454318506693336585014141877721393714866022385784610273244291665080904843350442288731216540133239660133758203080829138324944594830317 (213 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=10634016366433025806855506328011667447697704059936041331658915701833764591064080176192160707947 (pp95)
r2=20523005943394649287519750363574438542868546951268923534629631350308438968080229783671285326350871754277838442648840711 (pp119)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 76.03 hours.
Factorization parameters were as follows:
n: 218241981090460961328054084752695778731488999657918165611050469458922539526420949454318506693336585014141877721393714866022385784610273244291665080904843350442288731216540133239660133758203080829138324944594830317
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 7
c0: -187
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 4
Number of threads per core: 1
Factor base limits: 536870912/67108864
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 33302532
Relations: 8187262 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 36.31 hours.
Total relation processing time: 0.37 hours.
Pruned matrix : 7283731 x 7283956
Matrix solve time: 38.86 hours.
time per square root: 0.49 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,67108864,29,28,58,56,2.8,2.8,100000
total time: 76.03 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.16299-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:07:06 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 6 秒 (日本時間)
4511e6585 / 4409CypMay 20, 2015 02:47:53 UTC 2015 年 5 月 20 日 (水) 11 時 47 分 53 秒 (日本時間)

7×10221-1879

c181

name 名前Serge Batalov
date 日付January 9, 2015 03:53:18 UTC 2015 年 1 月 9 日 (金) 12 時 53 分 18 秒 (日本時間)
composite number 合成数
1532776578942951217605185031986742361482259302548922129027646748935017081076008441615066140688650729404070043054758850335290820742694540886883362736014101231669409717803118646535907<181>
prime factors 素因数
109618699538496069787115108351405254647689<42>
composite cofactor 合成数の残り
13982802071143603498552938000449054645946841190465017761105691595382120750859191063864198384643983315065949592165061134219188429769935383563<140>
factorization results 素因数分解の結果
Input number is 1532776578942951217605185031986742361482259302548922129027646748935017081076008441615066140688650729404070043054758850335290820742694540886883362736014101231669409717803118646535907 (181 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3851573663
Step 1 took 14999ms
Step 2 took 11240ms
********** Factor found in step 2: 109618699538496069787115108351405254647689
Found probable prime factor of 42 digits: 109618699538496069787115108351405254647689
Composite cofactor 13982802071143603498552938000449054645946841190465017761105691595382120750859191063864198384643983315065949592165061134219188429769935383563 has 140 digits

c140

name 名前Erik Branger
date 日付January 21, 2016 16:27:53 UTC 2016 年 1 月 22 日 (金) 1 時 27 分 53 秒 (日本時間)
composite number 合成数
13982802071143603498552938000449054645946841190465017761105691595382120750859191063864198384643983315065949592165061134219188429769935383563<140>
prime factors 素因数
3987745195517517675093925906038316690908491538237324377659<58>
3506443211783233597437009886355821171925448327744045882632564046768334573418323057<82>
factorization results 素因数分解の結果
Number: 77757_221
N = 13982802071143603498552938000449054645946841190465017761105691595382120750859191063864198384643983315065949592165061134219188429769935383563 (140 digits)
Divisors found:
r1=3987745195517517675093925906038316690908491538237324377659 (pp58)
r2=3506443211783233597437009886355821171925448327744045882632564046768334573418323057 (pp82)
Version: Msieve v. 1.51 (SVN 845)
Total time: 323.98 hours.
Factorization parameters were as follows:
# Murphy_E = 2.256e-11, selected by Erik Branger
# expecting poly E from 2.32e-011 to > 2.66e-011
n: 13982802071143603498552938000449054645946841190465017761105691595382120750859191063864198384643983315065949592165061134219188429769935383563
Y0: -1355109807577606579784258868
Y1: 625452443968283
c0: -1934416596526753989321047407793241655
c1: 3186024642380060008557581969166
c2: 201787186172706859332377
c3: -234965001082974294
c4: 5209664642
c5: 3060
skew: 5408538.19
type: gnfs
# selected mechanically
rlim: 17300000
alim: 17300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 17300000/17300000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23188722
Relations: 3075676 relations
Pruned matrix : 1944637 x 1944863
Polynomial selection time: 0.00 hours.
Total sieving time: 319.65 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 3.64 hours.
time per square root: 0.49 hours.
Prototype def-par.txt line would be: gnfs,139,5,65,2000,1e-05,0.28,250,20,50000,3600,17300000,17300000,28,28,55,55,2.6,2.6,100000
total time: 323.98 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 8, speed: 2.29GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62651300Serge BatalovJanuary 9, 2015 00:07:06 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 6 秒 (日本時間)
1CypJanuary 9, 2015 01:05:20 UTC 2015 年 1 月 9 日 (金) 10 時 5 分 20 秒 (日本時間)
2350Ignacio SantosFebruary 7, 2015 00:00:54 UTC 2015 年 2 月 7 日 (土) 9 時 0 分 54 秒 (日本時間)
4511e64480Ignacio SantosDecember 12, 2015 21:29:57 UTC 2015 年 12 月 13 日 (日) 6 時 29 分 57 秒 (日本時間)

7×10222-1879

c216

composite cofactor 合成数の残り
270205181076265064952114430813365073949946960652991736855357506738048699388591296482673536671996270859695226312086443732723997489562263360575033682040839660284150084464209567432771696424170254894969509082348850406267<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:07:07 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 7 秒 (日本時間)

7×10223-1879

c180

composite cofactor 合成数の残り
852250610859844781647469765911198949965368675927254948906460726974241949594903668587898574802332491276281321092594079327521163316592140543640224847817517627584109164865348949136479<180>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:07:07 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 7 秒 (日本時間)
4511e6585 / 4409CypJuly 1, 2015 18:35:39 UTC 2015 年 7 月 2 日 (木) 3 時 35 分 39 秒 (日本時間)

7×10224-1879

c166

name 名前Cyp
date 日付May 12, 2015 13:08:30 UTC 2015 年 5 月 12 日 (火) 22 時 8 分 30 秒 (日本時間)
composite number 合成数
1892645525216522605605149042957262264226343197049328073693663725637323004483299613071953375054625350500495679687377759683432039611481116262388569059980530127819270283<166>
prime factors 素因数
4670710599471697418570534085105847<34>
composite cofactor 合成数の残り
405215755699057684151283753699723906387522607971939919571837275857021074829280241236907070588057454520108743588718193201594278531789<132>
factorization results 素因数分解の結果
Run 26 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=742479573
Step 1 took 49887ms
Step 2 took 17473ms
********** Factor found in step 2: 4670710599471697418570534085105847
Found probable prime factor of 34 digits: 4670710599471697418570534085105847
Composite cofactor 405215755699057684151283753699723906387522607971939919571837275857021074829280241236907070588057454520108743588718193201594278531789 has 132 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

c132

name 名前Erik Branger
date 日付May 25, 2015 15:05:26 UTC 2015 年 5 月 26 日 (火) 0 時 5 分 26 秒 (日本時間)
composite number 合成数
405215755699057684151283753699723906387522607971939919571837275857021074829280241236907070588057454520108743588718193201594278531789<132>
prime factors 素因数
292789077102573876581406830999406998738938819799734651376358263693<66>
1383985221405978047672509155972985656984151172135935820708986385473<67>
factorization results 素因数分解の結果
Number: 77757_224
N = 405215755699057684151283753699723906387522607971939919571837275857021074829280241236907070588057454520108743588718193201594278531789 (132 digits)
Divisors found:
r1=292789077102573876581406830999406998738938819799734651376358263693 (pp66)
r2=1383985221405978047672509155972985656984151172135935820708986385473 (pp67)
Version: Msieve v. 1.51 (SVN 845)
Total time: 101.05 hours.
Factorization parameters were as follows:
# Murphy_E = 6.293e-11, selected by Erik Branger
# expecting poly E from 6.64e-011 to > 7.64e-011
n: 405215755699057684151283753699723906387522607971939919571837275857021074829280241236907070588057454520108743588718193201594278531789
Y0: -41041268538318583269723847
Y1: 79498570685077
c0: -83511260664923571710663714977080
c1: -1267387950239523917788985052
c2: -6499033158227568583702
c3: 26427624892639693
c4: 13238126588
c5: 3480
skew: 670181.2
type: gnfs
# selected mechanically
rlim: 10800000
alim: 10800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 10800000/10800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 19736504
Relations: 2723294 relations
Pruned matrix : 1605250 x 1605476
Polynomial selection time: 0.00 hours.
Total sieving time: 98.67 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 2.04 hours.
time per square root: 0.21 hours.
Prototype def-par.txt line would be: gnfs,131,5,65,2000,1e-05,0.28,250,20,50000,3600,10800000,10800000,28,28,54,54,2.6,2.6,100000
total time: 101.05 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:07:08 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 8 秒 (日本時間)
4511e6585 / 4409CypMay 12, 2015 13:08:30 UTC 2015 年 5 月 12 日 (火) 22 時 8 分 30 秒 (日本時間)

7×10225-1879

c185

composite cofactor 合成数の残り
64660418063870775572879955400570983150850332215489447476712569060949883974157766493591333183638517037654626250027159726162471265215194707454106237938040059225503176262418996347258048739<185>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:07:08 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 8 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovJanuary 13, 2017 13:30:20 UTC 2017 年 1 月 13 日 (金) 22 時 30 分 20 秒 (日本時間)

7×10229-1879

c181

composite cofactor 合成数の残り
5381973286809260617516774648296726135194267233284709319634848693939170089796228974375980318518124084486543872877296854487972804361669062708778650532954083202211581752950005555284189<181>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:07:09 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 9 秒 (日本時間)
4511e6585 / 4409CypFebruary 5, 2015 20:41:41 UTC 2015 年 2 月 6 日 (金) 5 時 41 分 41 秒 (日本時間)

7×10230-1879

c222

composite cofactor 合成数の残り
557844563136075837941924353339788662802695734123496886928093938614543602423261800151989213982928950653980825462252139489896874327819714818654618327041320829037063545810677263360856037282307743794293421138322585609103860061<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301 / 2318300Serge BatalovJanuary 9, 2015 00:07:10 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 10 秒 (日本時間)
1CypJanuary 9, 2015 01:07:50 UTC 2015 年 1 月 9 日 (金) 10 時 7 分 50 秒 (日本時間)

7×10232-1879

c225

composite cofactor 合成数の残り
191710116600639922344037842897815410364117845337025385352602708715509162474178667096907987773725655817509080493455376760401767110457237200273454214832772210146265041750341628112461328201045369521893345982038180729382884011789<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6281CypJanuary 8, 2015 23:37:51 UTC 2015 年 1 月 9 日 (金) 8 時 37 分 51 秒 (日本時間)
4511e6591 / 4413CypMay 21, 2015 21:42:40 UTC 2015 年 5 月 22 日 (金) 6 時 42 分 40 秒 (日本時間)

7×10235-1879

c226

composite cofactor 合成数の残り
2570241759117591725438614259425301711400612120192743970192574097407053103375079453704500622460176203003840978427542443649928888495213036547518876734593435560387905273321532362772615026970062479070987211824290643253599834334289<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:07:10 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 10 秒 (日本時間)
4511e6585 / 4409CypJuly 1, 2015 08:54:35 UTC 2015 年 7 月 1 日 (水) 17 時 54 分 35 秒 (日本時間)

7×10236-1879

c209

name 名前Serge Batalov
date 日付January 9, 2015 03:53:22 UTC 2015 年 1 月 9 日 (金) 12 時 53 分 22 秒 (日本時間)
composite number 合成数
12540134739064514981918922058781955016554784358889266676431953610336417673898650171058325285942411869599051782994963203411010621136314470774779916688431728699280619439146286370699410596668688736934036570702309<209>
prime factors 素因数
1881033003648202520068386078212873651625107<43>
6666621327081093343987069333394854125049484862473111856459622933617584610698174968788498681750970459795040211888625534507297481141516366677988195530086901714800274087<166>
factorization results 素因数分解の結果
Input number is 12540134739064514981918922058781955016554784358889266676431953610336417673898650171058325285942411869599051782994963203411010621136314470774779916688431728699280619439146286370699410596668688736934036570702309 (209 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1708472841
Step 1 took 16162ms
Step 2 took 11076ms
********** Factor found in step 2: 1881033003648202520068386078212873651625107
Found probable prime factor of 43 digits: 1881033003648202520068386078212873651625107
Probable prime cofactor 6666621327081093343987069333394854125049484862473111856459622933617584610698174968788498681750970459795040211888625534507297481141516366677988195530086901714800274087 has 166 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:07:11 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 11 秒 (日本時間)

7×10238-1879

c193

name 名前Serge Batalov
date 日付January 9, 2015 03:53:26 UTC 2015 年 1 月 9 日 (金) 12 時 53 分 26 秒 (日本時間)
composite number 合成数
1871806572964931476998039805186256216888044932468747246380931211539762624456259508593597061455052634319929650158977143278018467537547540126626942743897388583139992371555760199614706397775312957<193>
prime factors 素因数
977719428901272623343923138994263<33>
composite cofactor 合成数の残り
1914461876929665960248985499836401114123295101800362400856830592637226008484546088579514790265696793606219817499510064269809910788310154092878038027659321900939<160>
factorization results 素因数分解の結果
Input number is 1871806572964931476998039805186256216888044932468747246380931211539762624456259508593597061455052634319929650158977143278018467537547540126626942743897388583139992371555760199614706397775312957 (193 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1265153428
Step 1 took 13777ms
Step 2 took 9949ms
********** Factor found in step 2: 977719428901272623343923138994263
Found probable prime factor of 33 digits: 977719428901272623343923138994263
Composite cofactor 1914461876929665960248985499836401114123295101800362400856830592637226008484546088579514790265696793606219817499510064269809910788310154092878038027659321900939 has 160 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62401300Serge BatalovJanuary 9, 2015 00:07:11 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 11 秒 (日本時間)
1CypJanuary 9, 2015 00:30:42 UTC 2015 年 1 月 9 日 (金) 9 時 30 分 42 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 23:39:23 UTC 2015 年 1 月 11 日 (日) 8 時 39 分 23 秒 (日本時間)
4511e60--
5043e68000CypFebruary 24, 2015 18:24:38 UTC 2015 年 2 月 25 日 (水) 3 時 24 分 38 秒 (日本時間)

7×10239-1879

c194

composite cofactor 合成数の残り
31434677524415715556268400358336235591232233237851675691686518906366099904851844303607971707793122608609584489105178355137479199384466715300901216459016228261827254067979963172336083762556132417<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:07:12 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 12 秒 (日本時間)
4511e6585 / 4409CypJune 5, 2015 10:41:06 UTC 2015 年 6 月 5 日 (金) 19 時 41 分 6 秒 (日本時間)

7×10240-1879

c159

composite cofactor 合成数の残り
342957115198953736027494656017004545960720834034435429676525475308414028182910172561887881465906646415234246974799263167129580904704832672540663347599796063969<159>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62401300Serge BatalovJanuary 9, 2015 00:07:12 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 12 秒 (日本時間)
1CypJanuary 9, 2015 01:02:37 UTC 2015 年 1 月 9 日 (金) 10 時 2 分 37 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 23:39:22 UTC 2015 年 1 月 11 日 (日) 8 時 39 分 22 秒 (日本時間)
4511e60--
5043e61200 / 7462Erik BrangerOctober 21, 2015 20:18:34 UTC 2015 年 10 月 22 日 (木) 5 時 18 分 34 秒 (日本時間)

7×10241-1879

c204

composite cofactor 合成数の残り
947374458690221658815813828083135966774722348989707495155789657325676611975785809090384361459054297462770276982763896321167012165834387091969754203804063420071102367910290338576932878972003799514471207603<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6581281CypJanuary 8, 2015 21:47:46 UTC 2015 年 1 月 9 日 (金) 6 時 47 分 46 秒 (日本時間)
300Serge BatalovJanuary 9, 2015 00:07:13 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 13 秒 (日本時間)
4511e6504 / 4347CypFebruary 2, 2015 23:08:03 UTC 2015 年 2 月 3 日 (火) 8 時 8 分 3 秒 (日本時間)

7×10242-1879

c202

composite cofactor 合成数の残り
2412885700859239961014318494245961865823157778996780307419910076414506861703586476271804323953996073162815841977806930817177622542137263363595640078127156647794597884607498495004938859327147262254833529<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:07:13 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 13 秒 (日本時間)
4511e6585 / 4409CypJune 11, 2015 08:17:35 UTC 2015 年 6 月 11 日 (木) 17 時 17 分 35 秒 (日本時間)

7×10244-1879

c213

composite cofactor 合成数の残り
118702983774031635929637827395887763074653159310580335642029062978291488289140457287748737327532423841321731126082395015116811042381249901941536077583491053363753960333613236537741125150532116420116683012390246097<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:07:14 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 14 秒 (日本時間)

7×10246-1879

c214

composite cofactor 合成数の残り
2331214182714930045803901832042672921994324672052195003226947488084406599197432243123886643974716633745634849253490964062117871838605151982230479234400878702458916271618401651353018385159074719920411099668986162523<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:07:15 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 15 秒 (日本時間)
1CypJanuary 9, 2015 01:04:08 UTC 2015 年 1 月 9 日 (金) 10 時 4 分 8 秒 (日本時間)
4511e6585 / 4409CypJune 6, 2015 06:50:13 UTC 2015 年 6 月 6 日 (土) 15 時 50 分 13 秒 (日本時間)

7×10249-1879

c207

composite cofactor 合成数の残り
100619617961618539845292740510364087187435994432200424961057156218237508511688980800366105534139188081203703324499442755024967857275307139924053620199990025634766029921805707112893294251772440293306336886731<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:07:15 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 15 秒 (日本時間)
4511e6585 / 4409CypJune 23, 2015 06:04:41 UTC 2015 年 6 月 23 日 (火) 15 時 4 分 41 秒 (日本時間)

7×10250-1879

c221

name 名前Dmitry Domanov
date 日付June 17, 2015 11:36:20 UTC 2015 年 6 月 17 日 (水) 20 時 36 分 20 秒 (日本時間)
composite number 合成数
18681907380783083714367852023294531415886971208431024947959213417814995265968226636623773887552586917823128655646977016654927258257028290819926612070973689722417749642814362766094435664472771128361803043114651092580066807<221>
prime factors 素因数
17958167266743462426970495424418979184841823<44>
composite cofactor 合成数の残り
1040301446316290184637186927382179477257690916305098663253963105284385270694654433374336627854844093623853098161233650121329976296195783926077178536191586193621276833981521384809<178>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3683033489
Step 1 took 528688ms
********** Factor found in step 1: 17958167266743462426970495424418979184841823
Found probable prime factor of 44 digits: 17958167266743462426970495424418979184841823

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:07:16 UTC 2015 年 1 月 9 日 (金) 9 時 7 分 16 秒 (日本時間)
1CypJanuary 9, 2015 00:57:18 UTC 2015 年 1 月 9 日 (金) 9 時 57 分 18 秒 (日本時間)
4511e6600 / 2725Dmitry DomanovApril 21, 2015 11:00:12 UTC 2015 年 4 月 21 日 (火) 20 時 0 分 12 秒 (日本時間)
5043e6480 / 7407Dmitry DomanovJune 17, 2015 00:34:02 UTC 2015 年 6 月 17 日 (水) 9 時 34 分 2 秒 (日本時間)