Table of contents 目次

10106+6299

c104

name 名前Dmitry Domanov
date 日付December 6, 2014 15:31:40 UTC 2014 年 12 月 7 日 (日) 0 時 31 分 40 秒 (日本時間)
composite number 合成数
15649452269170579029733959311424100156494522691705790297339593114241001564945226917057902973395931142411<104>
prime factors 素因数
14682738305219056062728783827408327<35>
1065840168492814411632036496595136299483340919051881619199051550184093<70>
factorization results 素因数分解の結果
N=15649452269170579029733959311424100156494522691705790297339593114241001564945226917057902973395931142411
  ( 104 digits)
SNFS difficulty: 106 digits.
Divisors found:
 r1=14682738305219056062728783827408327 (pp35)
 r2=1065840168492814411632036496595136299483340919051881619199051550184093 (pp70)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 0.38 hours.
Scaled time: 0.79 units (timescale=2.072).
Factorization parameters were as follows:
n: 15649452269170579029733959311424100156494522691705790297339593114241001564945226917057902973395931142411
m: 1000000000000000000000
deg: 5
c5: 10
c0: 629
skew: 2.29
# Murphy_E = 4.034e-08
type: snfs
lss: 1
rlim: 410000
alim: 410000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 410000/410000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [205000, 455001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 49612 x 49837
Total sieving time: 0.36 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,106.000,5,0,0,0,0,0,0,0,0,410000,410000,25,25,44,44,2.2,2.2,50000
total time: 0.38 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

10111+6299

c104

name 名前KTakahashi
date 日付December 6, 2014 17:24:40 UTC 2014 年 12 月 7 日 (日) 2 時 24 分 40 秒 (日本時間)
composite number 合成数
75933793932540569337918823281331593234511575233646385585579018338542771266075279092761254204549087287187<104>
prime factors 素因数
2785079444527078309912617169371177583776130790123<49>
27264498354528820982744806942515181141969804529122046969<56>
factorization results 素因数分解の結果
Number: 11181_111
N=75933793932540569337918823281331593234511575233646385585579018338542771266075279092761254204549087287187
  ( 104 digits)
SNFS difficulty: 111 digits.
Divisors found:
 r1=2785079444527078309912617169371177583776130790123 (pp49)
 r2=27264498354528820982744806942515181141969804529122046969 (pp56)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.71 hours.
Scaled time: 2.98 units (timescale=1.740).
Factorization parameters were as follows:
n: 75933793932540569337918823281331593234511575233646385585579018338542771266075279092761254204549087287187
m: 10000000000000000000000
c5: 10
c0: 629
skew: 2.29
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 : 80860 x 81085
Total sieving time: 1.68 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,111.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.71 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

10113+6299

c109

name 名前KTakahashi
date 日付December 6, 2014 17:25:54 UTC 2014 年 12 月 7 日 (日) 2 時 25 分 54 秒 (日本時間)
composite number 合成数
7363228039172373168397025255872174361239967601796627641558059053088874162432810544142552094838377144540166409<109>
prime factors 素因数
37051789014638834421097275931<29>
198728003019320520187618272505237666151372115652058156280118494304396060358452139<81>
factorization results 素因数分解の結果
Input number is 7363228039172373168397025255872174361239967601796627641558059053088874162432810544142552094838377144540166409 (109 digits)
Using B1=250000, B2=128992510, polynomial Dickson(3), sigma=3434340113
Step 1 took 749ms
Step 2 took 452ms
********** Factor found in step 2: 37051789014638834421097275931
Found probable prime factor of 29 digits: 37051789014638834421097275931
Probable prime cofactor 198728003019320520187618272505237666151372115652058156280118494304396060358452139 has 81 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

10123+6299

c110

name 名前Dmitry Domanov
date 日付December 6, 2014 20:23:37 UTC 2014 年 12 月 7 日 (日) 5 時 23 分 37 秒 (日本時間)
composite number 合成数
65031606647002473246052811648891521323004132244576925452065310523326565055734109518940637606605516938325595287<110>
prime factors 素因数
31685963682616736483918659770345213653<38>
2052379005997520546997937662210590579590717906982507265799334201668993979<73>
factorization results 素因数分解の結果
N=65031606647002473246052811648891521323004132244576925452065310523326565055734109518940637606605516938325595287
  ( 110 digits)
SNFS difficulty: 123 digits.
Divisors found:
 r1=31685963682616736483918659770345213653 (pp38)
 r2=2052379005997520546997937662210590579590717906982507265799334201668993979 (pp73)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 1.86 hours.
Scaled time: 4.00 units (timescale=2.153).
Factorization parameters were as follows:
n: 65031606647002473246052811648891521323004132244576925452065310523326565055734109518940637606605516938325595287
m: 1000000000000000000000000
deg: 5
c5: 1000
c0: 629
skew: 0.91
# Murphy_E = 1.023e-08
type: snfs
lss: 1
rlim: 790000
alim: 790000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 790000/790000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [395000, 945001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 86623 x 86847
Total sieving time: 1.81 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,123.000,5,0,0,0,0,0,0,0,0,790000,790000,25,25,46,46,2.2,2.2,50000
total time: 1.86 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

10130+6299

c120

name 名前KTakahashi
date 日付December 6, 2014 18:43:42 UTC 2014 年 12 月 7 日 (日) 3 時 43 分 42 秒 (日本時間)
composite number 合成数
168784891150564706681363538823668676059251937186143000104332675737320952731547389752108673052398386527048715470192189747<120>
prime factors 素因数
12311706144817878012607755564407<32>
1152957405049380802433624204680472131530953<43>
11890553293693190941189781197626028161971980157<47>
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 168784891150564706681363538823668676059251937186143000104332675737320952731547389752108673052398386527048715470192189747 (120 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3337443191
Step 1 took 3510ms
Step 2 took 2137ms
********** Factor found in step 2: 12311706144817878012607755564407
Found probable prime factor of 32 digits: 12311706144817878012607755564407
Composite cofactor 13709301470097869356746020767936262106762656818881314914867282300549139058407013347299621 has 89 digits

Msieve v. 1.51 (SVN Official Release)
Tue Dec 02 01:02:10 2014
random seeds: 72300b40 e659c6ef
factoring 13709301470097869356746020767936262106762656818881314914867282300549139058407013347299621 (89 digits)
searching for 15-digit factors
commencing quadratic sieve (89-digit input)
using multiplier of 1
using VC8 64kb sieve core
sieve interval: 14 blocks of size 65536
processing polynomials in batches of 8
using a sieve bound of 1537147 (58278 primes)
using large prime bound of 122971760 (26 bits)
using double large prime bound of 364459767191680 (42-49 bits)
using trial factoring cutoff of 49 bits
polynomial 'A' values have 11 factors
58630 relations (15767 full + 42863 combined from 620479 partial), need 58374
begin with 636246 relations
reduce to 142167 relations in 10 passes
attempting to read 142167 relations
recovered 142167 relations
recovered 120885 polynomials
attempting to build 58630 cycles
found 58630 cycles in 6 passes
distribution of cycle lengths:
   length 1 : 15767
   length 2 : 11332
   length 3 : 10271
   length 4 : 7853
   length 5 : 5572
   length 6 : 3462
   length 7 : 2054
   length 9+: 2319
largest cycle: 17 relations
matrix is 58278 x 58630 (14.9 MB) with weight 3438866 (58.65/col)
sparse part has weight 3438866 (58.65/col)
filtering completed in 3 passes
matrix is 54255 x 54319 (13.9 MB) with weight 3200712 (58.92/col)
sparse part has weight 3200712 (58.92/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 54207 x 54319 (9.9 MB) with weight 2611859 (48.08/col)
sparse part has weight 2062949 (37.98/col)
using block size 21682 for processor cache size 1024 kB
commencing Lanczos iteration
memory use: 6.0 MB
lanczos halted after 859 iterations (dim = 54204)
recovered 14 nontrivial dependencies
prp43 factor: 1152957405049380802433624204680472131530953
prp47 factor: 11890553293693190941189781197626028161971980157
elapsed time 00:54:50

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

10131+6299

c110

name 名前Dmitry Domanov
date 日付December 8, 2014 12:06:07 UTC 2014 年 12 月 8 日 (月) 21 時 6 分 7 秒 (日本時間)
composite number 合成数
64801787851890633851419569897646594710124689213061563217126939532199067112270249242319624773548749167302272057<110>
prime factors 素因数
273259228510191811816476212804670178566666755439235093<54>
237144004999171351971604213288929525599126713256503142549<57>
factorization results 素因数分解の結果
N=64801787851890633851419569897646594710124689213061563217126939532199067112270249242319624773548749167302272057
  ( 110 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=273259228510191811816476212804670178566666755439235093 (pp54)
 r2=237144004999171351971604213288929525599126713256503142549 (pp57)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 2.81 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 64801787851890633851419569897646594710124689213061563217126939532199067112270249242319624773548749167302272057
m: 100000000000000000000000000
deg: 5
c5: 10
c0: 629
skew: 2.29
# Murphy_E = 5.475e-09
type: snfs
lss: 1
rlim: 1070000
alim: 1070000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1070000/1070000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [535000, 1085001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 178988 x 179214
Total sieving time: 2.67 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,131.000,5,0,0,0,0,0,0,0,0,1070000,1070000,26,26,47,47,2.3,2.3,50000
total time: 2.81 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

10139+6299

c136

name 名前Dmitry Domanov
date 日付December 12, 2014 13:02:33 UTC 2014 年 12 月 12 日 (金) 22 時 2 分 33 秒 (日本時間)
composite number 合成数
2978850163836759011021745606196008340780458742925230860887697348823354185284480190646410485552576705391718796544533809949359547214775097<136>
prime factors 素因数
1371625889238945516702171174727268523443539872125284961<55>
2171765776081691700629466609909127667608318995309878001519514909502627115995017177<82>
factorization results 素因数分解の結果
N=2978850163836759011021745606196008340780458742925230860887697348823354185284480190646410485552576705391718796544533809949359547214775097
  ( 136 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=1371625889238945516702171174727268523443539872125284961 (pp55)
 r2=2171765776081691700629466609909127667608318995309878001519514909502627115995017177 (pp82)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 3.92 hours.
Scaled time: 8.41 units (timescale=2.147).
Factorization parameters were as follows:
n: 2978850163836759011021745606196008340780458742925230860887697348823354185284480190646410485552576705391718796544533809949359547214775097
m: 10000000000000000000000000000
deg: 5
c5: 1
c0: 6290
skew: 5.75
# Murphy_E = 2.693e-09
type: snfs
lss: 1
rlim: 1510000
alim: 1510000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1510000/1510000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [755000, 1655001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 238224 x 238449
Total sieving time: 3.78 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,140.000,5,0,0,0,0,0,0,0,0,1510000,1510000,26,26,48,48,2.3,2.3,75000
total time: 3.92 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosDecember 10, 2014 08:49:19 UTC 2014 年 12 月 10 日 (水) 17 時 49 分 19 秒 (日本時間)
403e6110 / 2126Ignacio SantosDecember 10, 2014 08:49:19 UTC 2014 年 12 月 10 日 (水) 17 時 49 分 19 秒 (日本時間)
4511e632 / 4437Ignacio SantosDecember 10, 2014 08:49:19 UTC 2014 年 12 月 10 日 (水) 17 時 49 分 19 秒 (日本時間)

10140+6299

c130

name 名前KTakahashi
date 日付December 6, 2014 18:44:38 UTC 2014 年 12 月 7 日 (日) 3 時 44 分 38 秒 (日本時間)
composite number 合成数
2326893388265300529725105181060401797601659997124375355263232727934378899994680765925399900029758474333094361638316759678113623301<130>
prime factors 素因数
556568791064303047059634891616923<33>
4180783086697477865148697568396745675979763892277544005372386767780838618635852391513346681637087<97>
factorization results 素因数分解の結果
Input number is 2326893388265300529725105181060401797601659997124375355263232727934378899994680765925399900029758474333094361638316759678113623301 (130 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3216122442
Step 1 took 3074ms
Step 2 took 1965ms
********** Factor found in step 2: 556568791064303047059634891616923
Found probable prime factor of 33 digits: 556568791064303047059634891616923
Probable prime cofactor 4180783086697477865148697568396745675979763892277544005372386767780838618635852391513346681637087 has 97 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

10141+6299

c100

name 名前KTakahashi
date 日付December 6, 2014 18:49:00 UTC 2014 年 12 月 7 日 (日) 3 時 49 分 0 秒 (日本時間)
composite number 合成数
8776860387582099858578783810920925699987011124107825312993345288546930556811488030009262058390373431<100>
prime factors 素因数
1413327916514881638424039030494041064940450079627<49>
6210066528102633635283700278083252066791064626251653<52>
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。
// GNFS may be faster than SNFS to factore this number, but I factored it with SNFS.

Number: 11181_141
N=8776860387582099858578783810920925699987011124107825312993345288546930556811488030009262058390373431
  ( 100 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=1413327916514881638424039030494041064940450079627 (pp49)
 r2=6210066528102633635283700278083252066791064626251653 (pp52)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 9.78 hours.
Scaled time: 16.66 units (timescale=1.704).
Factorization parameters were as follows:
n: 8776860387582099858578783810920925699987011124107825312993345288546930556811488030009262058390373431
m: 10000000000000000000000000000
c5: 10
c0: 629
skew: 2.29
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, 2250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 223776 x 224001
Total sieving time: 9.55 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.18 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,141.000,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 9.78 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 6, 2014 18:45:24 UTC 2014 年 12 月 7 日 (日) 3 時 45 分 24 秒 (日本時間)

10142+6299

c105

name 名前KTakahashi
date 日付December 6, 2014 18:50:08 UTC 2014 年 12 月 7 日 (日) 3 時 50 分 8 秒 (日本時間)
composite number 合成数
296147759492495462808239850276080714322522075390258460623388666414510068517860588309410923751665711339439<105>
prime factors 素因数
33359537062694219568369953750221889<35>
8877454112625436182257922401094546049130912536052858136274700973907951<70>
factorization results 素因数分解の結果
Number: 11181_142
N=296147759492495462808239850276080714322522075390258460623388666414510068517860588309410923751665711339439
  ( 105 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=33359537062694219568369953750221889 (pp35)
 r2=8877454112625436182257922401094546049130912536052858136274700973907951 (pp70)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 8.73 hours.
Scaled time: 15.21 units (timescale=1.742).
Factorization parameters were as follows:
n: 296147759492495462808239850276080714322522075390258460623388666414510068517860588309410923751665711339439
m: 10000000000000000000000000000
c5: 100
c0: 629
skew: 1.44
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, 2050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 228469 x 228714
Total sieving time: 8.50 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.17 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,142.000,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 8.73 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 6, 2014 18:45:37 UTC 2014 年 12 月 7 日 (日) 3 時 45 分 37 秒 (日本時間)

10144+6299

c129

name 名前Ignacio Santos
date 日付December 10, 2014 21:12:09 UTC 2014 年 12 月 11 日 (木) 6 時 12 分 9 秒 (日本時間)
composite number 合成数
823293908599418664919268323753579953657112313415644940252363201842469491034908948293324579257664878780228695884300714266293591449<129>
prime factors 素因数
25776648299018682392043551378600767<35>
31939525226433782836449569416733320379352110675897987686000580010203379974407098605869783806247<95>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3332253197
Step 1 took 5109ms
Step 2 took 3985ms
********** Factor found in step 2: 25776648299018682392043551378600767
Found probable prime factor of 35 digits: 25776648299018682392043551378600767
Probable prime cofactor 31939525226433782836449569416733320379352110675897987686000580010203379974407098605869783806247 has 95 digits
software ソフトウェア
GMP-ECM 7.0

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:47:10 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 10 秒 (日本時間)

10147+6299

c144

name 名前Dmitry Domanov
date 日付December 8, 2014 22:06:04 UTC 2014 年 12 月 9 日 (火) 7 時 6 分 4 秒 (日本時間)
composite number 合成数
848176420695504664970313825275657336726039016115351993214588634435962680237489397794741306191687871077184054283290924512298558100084817642069551<144>
prime factors 素因数
535535338895440438942884551211082215849092619869380691<54>
1583791692337048982545261507424212568507435199706115702865925492727011447887063620477681461<91>
factorization results 素因数分解の結果
N=848176420695504664970313825275657336726039016115351993214588634435962680237489397794741306191687871077184054283290924512298558100084817642069551
  ( 144 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=535535338895440438942884551211082215849092619869380691 (pp54)
 r2=1583791692337048982545261507424212568507435199706115702865925492727011447887063620477681461 (pp91)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 7.95 hours.
Scaled time: 15.12 units (timescale=1.903).
Factorization parameters were as follows:
n: 848176420695504664970313825275657336726039016115351993214588634435962680237489397794741306191687871077184054283290924512298558100084817642069551
m: 100000000000000000000000000000
deg: 5
c5: 100
c0: 629
skew: 1.44
# Murphy_E = 1.463e-09
type: snfs
lss: 1
rlim: 1970000
alim: 1970000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1970000/1970000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [985000, 2485001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 368283 x 368515
Total sieving time: 7.68 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.18 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,147.000,5,0,0,0,0,0,0,0,0,1970000,1970000,26,26,49,49,2.3,2.3,100000
total time: 7.95 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 8, 2014 19:27:18 UTC 2014 年 12 月 9 日 (火) 4 時 27 分 18 秒 (日本時間)

10151+6299

c151

name 名前Erik Branger
date 日付December 8, 2014 19:13:39 UTC 2014 年 12 月 9 日 (火) 4 時 13 分 39 秒 (日本時間)
composite number 合成数
1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111181<151>
prime factors 素因数
240165406000897181080647751767015762391<39>
4626441124942700347372601276562133015267335275362760641097920348482541545003771179687721307105317517570581589691<112>
factorization results 素因数分解の結果
Number: 11181_151
N = 1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111181 (151 digits)
SNFS difficulty: 152 digits.
Divisors found:
r1=240165406000897181080647751767015762391 (pp39)
r2=4626441124942700347372601276562133015267335275362760641097920348482541545003771179687721307105317517570581589691 (pp112)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 6.64 hours.
Factorization parameters were as follows:
n: 1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111181
m: 1000000000000000000000000000000
deg: 5
c5: 10
c0: 629
skew: 2.29
# Murphy_E = 9.964e-10
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Sieved rational special-q in [0, 0)
Total raw relations: 7333123
Relations: 690674 relations
Pruned matrix : 407662 x 407889
Polynomial selection time: 0.00 hours.
Total sieving time: 6.49 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.10 hours.
time per square root: 0.01 hours.
Prototype def-par.txt line would be: snfs,152,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 6.64 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
3025e40--
351e6118 / 904Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

10153+6299

c125

name 名前Serge Batalov
date 日付December 10, 2014 20:50:21 UTC 2014 年 12 月 11 日 (木) 5 時 50 分 21 秒 (日本時間)
composite number 合成数
98553275798304607233428665653284400306094259218828200494623939909090790900700223864278640568106674656179396522332935636752137<125>
prime factors 素因数
1516897446647501518157550393042613<34>
15233479635709522444434024233592719<35>
4264967515497821557954930421051967229155195358724762963371<58>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3369919753
Step 1 took 7628ms
Step 2 took 6317ms
********** Factor found in step 2: 1516897446647501518157550393042613
Found probable prime factor of 34 digits: 1516897446647501518157550393042613
--
Input number is 98553275798304607233428665653284400306094259218828200494623939909090790900700223864278640568106674656179396522332935636752137 (125 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2639620610
Step 1 took 7629ms
Step 2 took 6310ms
********** Factor found in step 2: 15233479635709522444434024233592719
Found probable prime factor of 35 digits: 15233479635709522444434024233592719

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:47:10 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 10 秒 (日本時間)

10154+6299

c110

name 名前Jo Yeong Uk
date 日付December 23, 2014 22:18:28 UTC 2014 年 12 月 24 日 (水) 7 時 18 分 28 秒 (日本時間)
composite number 合成数
21190912526364381402917339940452351355702279288112771221605864895662047240130800020740734170627022309804221967<110>
prime factors 素因数
176678984752501967059772989457031460471136366891<48>
119940198637938431875569110701538465290716127659641448036517037<63>
factorization results 素因数分解の結果
Number: 11181_154
N=21190912526364381402917339940452351355702279288112771221605864895662047240130800020740734170627022309804221967
  ( 110 digits)
Divisors found:
 r1=176678984752501967059772989457031460471136366891
 r2=119940198637938431875569110701538465290716127659641448036517037
Version: 
Total time: 5.40 hours.
Scaled time: 27.94 units (timescale=5.176).
Factorization parameters were as follows:
name: 11181_154
n: 21190912526364381402917339940452351355702279288112771221605864895662047240130800020740734170627022309804221967
skew: 48953.49
# norm 2.86e+15
c5: 8700
c4: -477861233
c3: -76669345567330
c2: -1835536513126753656
c1: 38835803351147630413720
c0: -246270536371961963431072048
# alpha -6.60
Y1: 411664742699
Y0: -1194889445478166364769
# Murphy_E 1.06e-09
# M 15430583247119328485256789944323962717877643774961529073476209076144889903007848858779920565463266442769052541
type: gnfs
rlim: 2000000
alim: 2000000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [1000000, 1550001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 8443312
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 412605 x 412852
Polynomial selection time: 0.66 hours.
Total sieving time: 4.32 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 0.16 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,109,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2000000,2000000,27,27,53,53,2.6,2.6,50000
total time: 5.40 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.88 BogoMIPS (lpj=3399941)
Total of 12 processors activated (81598.58 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6285Pierre JammesDecember 9, 2014 14:00:33 UTC 2014 年 12 月 9 日 (火) 23 時 0 分 33 秒 (日本時間)
4511e6715 / 4412Pierre JammesDecember 16, 2014 07:18:03 UTC 2014 年 12 月 16 日 (火) 16 時 18 分 3 秒 (日本時間)

10155+6299

c136

name 名前Cyp
date 日付December 18, 2014 00:14:13 UTC 2014 年 12 月 18 日 (木) 9 時 14 分 13 秒 (日本時間)
composite number 合成数
4710481018830246312468249402558234239332793697339818695959422814253375525929394218334816127825828925227985935448678342536690112546214559<136>
prime factors 素因数
41112680596021350894000991633481439616764179<44>
114574893938832575461107657166467652267264335961297547486989320397109510477172497878518689221<93>
factorization results 素因数分解の結果
12/17/14 22:44:11 v1.34.3, 
12/17/14 22:44:11 v1.34.3, ****************************
12/17/14 22:44:11 v1.34.3, Starting factorization of 4710481018830246312468249402558234239332793697339818695959422814253375525929394218334816127825828925227985935448678342536690112546214559
12/17/14 22:44:11 v1.34.3, using pretesting plan: none
12/17/14 22:44:11 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/17/14 22:44:11 v1.34.3, ****************************
12/17/14 22:44:11 v1.34.3, nfs: commencing nfs on c136: 4710481018830246312468249402558234239332793697339818695959422814253375525929394218334816127825828925227985935448678342536690112546214559
12/17/14 22:44:11 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/17/14 22:44:11 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/17/14 22:45:14 v1.34.3, nfs: commencing lattice sieving with 8 threads
[106 lines snipped]
12/18/14 01:00:53 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/18/14 01:02:09 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/18/14 01:03:25 v1.34.3, nfs: commencing msieve filtering
12/18/14 01:05:06 v1.34.3, nfs: commencing msieve linear algebra
12/18/14 01:10:17 v1.34.3, nfs: commencing msieve sqrt
12/18/14 01:14:12 v1.34.3, prp44 = 41112680596021350894000991633481439616764179
12/18/14 01:14:12 v1.34.3, prp93 = 114574893938832575461107657166467652267264335961297547486989320397109510477172497878518689221
12/18/14 01:14:12 v1.34.3, NFS elapsed time = 9001.3343 seconds.
12/18/14 01:14:12 v1.34.3, 
12/18/14 01:14:12 v1.34.3, 
12/18/14 01:14:12 v1.34.3, Total factoring time = 9001.3351 seconds
--
Thu Dec 18 01:03:25 2014  
Thu Dec 18 01:03:25 2014  commencing relation filtering
Thu Dec 18 01:03:25 2014  estimated available RAM is 15987.3 MB
Thu Dec 18 01:03:25 2014  commencing duplicate removal, pass 1
Thu Dec 18 01:03:51 2014  found 1623948 hash collisions in 10046693 relations
Thu Dec 18 01:04:00 2014  added 356055 free relations
Thu Dec 18 01:04:00 2014  commencing duplicate removal, pass 2
Thu Dec 18 01:04:08 2014  found 1284764 duplicates and 9117984 unique relations
Thu Dec 18 01:04:08 2014  memory use: 41.3 MB
Thu Dec 18 01:04:08 2014  reading ideals above 100000
Thu Dec 18 01:04:08 2014  commencing singleton removal, initial pass
Thu Dec 18 01:04:46 2014  memory use: 188.2 MB
Thu Dec 18 01:04:46 2014  reading all ideals from disk
Thu Dec 18 01:04:46 2014  memory use: 308.2 MB
Thu Dec 18 01:04:46 2014  keeping 9536055 ideals with weight <= 200, target excess is 46422
Thu Dec 18 01:04:47 2014  commencing in-memory singleton removal
Thu Dec 18 01:04:47 2014  begin with 9117984 relations and 9536055 unique ideals
Thu Dec 18 01:04:49 2014  reduce to 4176174 relations and 3430235 ideals in 12 passes
Thu Dec 18 01:04:49 2014  max relations containing the same ideal: 122
Thu Dec 18 01:04:51 2014  removing 1197342 relations and 851297 ideals in 346045 cliques
Thu Dec 18 01:04:51 2014  commencing in-memory singleton removal
Thu Dec 18 01:04:51 2014  begin with 2978832 relations and 3430235 unique ideals
Thu Dec 18 01:04:52 2014  reduce to 2744384 relations and 2320381 ideals in 8 passes
Thu Dec 18 01:04:52 2014  max relations containing the same ideal: 89
Thu Dec 18 01:04:52 2014  removing 1000389 relations and 654344 ideals in 346045 cliques
Thu Dec 18 01:04:53 2014  commencing in-memory singleton removal
Thu Dec 18 01:04:53 2014  begin with 1743995 relations and 2320381 unique ideals
Thu Dec 18 01:04:53 2014  reduce to 1538444 relations and 1433921 ideals in 9 passes
Thu Dec 18 01:04:53 2014  max relations containing the same ideal: 60
Thu Dec 18 01:04:54 2014  removing 214971 relations and 164298 ideals in 50673 cliques
Thu Dec 18 01:04:54 2014  commencing in-memory singleton removal
Thu Dec 18 01:04:54 2014  begin with 1323473 relations and 1433921 unique ideals
Thu Dec 18 01:04:54 2014  reduce to 1301312 relations and 1246687 ideals in 8 passes
Thu Dec 18 01:04:54 2014  max relations containing the same ideal: 56
Thu Dec 18 01:04:54 2014  relations with 0 large ideals: 1044
Thu Dec 18 01:04:54 2014  relations with 1 large ideals: 708
Thu Dec 18 01:04:54 2014  relations with 2 large ideals: 10153
Thu Dec 18 01:04:54 2014  relations with 3 large ideals: 63550
Thu Dec 18 01:04:54 2014  relations with 4 large ideals: 200089
Thu Dec 18 01:04:54 2014  relations with 5 large ideals: 353025
Thu Dec 18 01:04:54 2014  relations with 6 large ideals: 370664
Thu Dec 18 01:04:54 2014  relations with 7+ large ideals: 302079
Thu Dec 18 01:04:54 2014  commencing 2-way merge
Thu Dec 18 01:04:55 2014  reduce to 814163 relation sets and 759538 unique ideals
Thu Dec 18 01:04:55 2014  commencing full merge
Thu Dec 18 01:05:02 2014  memory use: 98.1 MB
Thu Dec 18 01:05:02 2014  found 419501 cycles, need 411738
Thu Dec 18 01:05:02 2014  weight of 411738 cycles is about 29003351 (70.44/cycle)
Thu Dec 18 01:05:02 2014  distribution of cycle lengths:
Thu Dec 18 01:05:02 2014  1 relations: 28637
Thu Dec 18 01:05:02 2014  2 relations: 38437
Thu Dec 18 01:05:02 2014  3 relations: 43402
Thu Dec 18 01:05:02 2014  4 relations: 43072
Thu Dec 18 01:05:02 2014  5 relations: 42537
Thu Dec 18 01:05:02 2014  6 relations: 39850
Thu Dec 18 01:05:02 2014  7 relations: 35549
Thu Dec 18 01:05:02 2014  8 relations: 30704
Thu Dec 18 01:05:02 2014  9 relations: 26272
Thu Dec 18 01:05:02 2014  10+ relations: 83278
Thu Dec 18 01:05:02 2014  heaviest cycle: 21 relations
Thu Dec 18 01:05:02 2014  commencing cycle optimization
Thu Dec 18 01:05:03 2014  start with 2609665 relations
Thu Dec 18 01:05:05 2014  pruned 80668 relations
Thu Dec 18 01:05:05 2014  memory use: 80.3 MB
Thu Dec 18 01:05:05 2014  distribution of cycle lengths:
Thu Dec 18 01:05:05 2014  1 relations: 28637
Thu Dec 18 01:05:05 2014  2 relations: 39268
Thu Dec 18 01:05:05 2014  3 relations: 44916
Thu Dec 18 01:05:05 2014  4 relations: 44566
Thu Dec 18 01:05:05 2014  5 relations: 44255
Thu Dec 18 01:05:05 2014  6 relations: 40916
Thu Dec 18 01:05:05 2014  7 relations: 36644
Thu Dec 18 01:05:05 2014  8 relations: 31487
Thu Dec 18 01:05:05 2014  9 relations: 26222
Thu Dec 18 01:05:05 2014  10+ relations: 74827
Thu Dec 18 01:05:05 2014  heaviest cycle: 20 relations
Thu Dec 18 01:05:06 2014  RelProcTime: 101
Thu Dec 18 01:05:06 2014  
Thu Dec 18 01:05:06 2014  commencing linear algebra
Thu Dec 18 01:05:06 2014  read 411738 cycles
Thu Dec 18 01:05:06 2014  cycles contain 1265211 unique relations
Thu Dec 18 01:05:15 2014  read 1265211 relations
Thu Dec 18 01:05:15 2014  using 20 quadratic characters above 134215142
Thu Dec 18 01:05:19 2014  building initial matrix
Thu Dec 18 01:05:26 2014  memory use: 154.9 MB
Thu Dec 18 01:05:26 2014  read 411738 cycles
Thu Dec 18 01:05:26 2014  matrix is 411564 x 411738 (122.9 MB) with weight 36922516 (89.67/col)
Thu Dec 18 01:05:26 2014  sparse part has weight 27682389 (67.23/col)
Thu Dec 18 01:05:28 2014  filtering completed in 2 passes
Thu Dec 18 01:05:28 2014  matrix is 411476 x 411652 (122.9 MB) with weight 36919235 (89.69/col)
Thu Dec 18 01:05:28 2014  sparse part has weight 27681036 (67.24/col)
Thu Dec 18 01:05:28 2014  matrix starts at (0, 0)
Thu Dec 18 01:05:28 2014  matrix is 411476 x 411652 (122.9 MB) with weight 36919235 (89.69/col)
Thu Dec 18 01:05:28 2014  sparse part has weight 27681036 (67.24/col)
Thu Dec 18 01:05:28 2014  saving the first 48 matrix rows for later
Thu Dec 18 01:05:28 2014  matrix includes 64 packed rows
Thu Dec 18 01:05:29 2014  matrix is 411428 x 411652 (116.1 MB) with weight 29119478 (70.74/col)
Thu Dec 18 01:05:29 2014  sparse part has weight 26326622 (63.95/col)
Thu Dec 18 01:05:29 2014  using block size 65536 for processor cache size 8192 kB
Thu Dec 18 01:05:29 2014  commencing Lanczos iteration (8 threads)
Thu Dec 18 01:05:29 2014  memory use: 111.9 MB
Thu Dec 18 01:05:38 2014  linear algebra at 2.9%, ETA 0h 4m
Thu Dec 18 01:10:17 2014  lanczos halted after 6507 iterations (dim = 411427)
Thu Dec 18 01:10:17 2014  recovered 36 nontrivial dependencies
Thu Dec 18 01:10:17 2014  BLanczosTime: 311
Thu Dec 18 01:10:17 2014  
Thu Dec 18 01:10:17 2014  commencing square root phase
Thu Dec 18 01:10:17 2014  reading relations for dependency 1
Thu Dec 18 01:10:17 2014  read 205454 cycles
Thu Dec 18 01:10:17 2014  cycles contain 631608 unique relations
Thu Dec 18 01:10:25 2014  read 631608 relations
Thu Dec 18 01:10:26 2014  multiplying 631608 relations
Thu Dec 18 01:10:34 2014  multiply complete, coefficients have about 13.50 million bits
Thu Dec 18 01:10:34 2014  initial square root is modulo 57063211
Thu Dec 18 01:10:43 2014  Newton iteration failed to converge
Thu Dec 18 01:10:43 2014  algebraic square root failed
Thu Dec 18 01:10:43 2014  reading relations for dependency 2
Thu Dec 18 01:10:43 2014  read 205785 cycles
Thu Dec 18 01:10:43 2014  cycles contain 632550 unique relations
Thu Dec 18 01:10:51 2014  read 632550 relations
Thu Dec 18 01:10:52 2014  multiplying 632550 relations
Thu Dec 18 01:11:00 2014  multiply complete, coefficients have about 13.52 million bits
Thu Dec 18 01:11:00 2014  initial square root is modulo 58613761
Thu Dec 18 01:11:09 2014  GCD is 1, no factor found
Thu Dec 18 01:11:09 2014  reading relations for dependency 3
Thu Dec 18 01:11:09 2014  read 205921 cycles
Thu Dec 18 01:11:09 2014  cycles contain 632746 unique relations
Thu Dec 18 01:11:17 2014  read 632746 relations
Thu Dec 18 01:11:18 2014  multiplying 632746 relations
Thu Dec 18 01:11:26 2014  multiply complete, coefficients have about 13.52 million bits
Thu Dec 18 01:11:26 2014  initial square root is modulo 58909801
Thu Dec 18 01:11:35 2014  GCD is 1, no factor found
Thu Dec 18 01:11:35 2014  reading relations for dependency 4
Thu Dec 18 01:11:35 2014  read 205340 cycles
Thu Dec 18 01:11:36 2014  cycles contain 630756 unique relations
Thu Dec 18 01:11:43 2014  read 630756 relations
Thu Dec 18 01:11:44 2014  multiplying 630756 relations
Thu Dec 18 01:11:52 2014  multiply complete, coefficients have about 13.48 million bits
Thu Dec 18 01:11:52 2014  initial square root is modulo 55761151
Thu Dec 18 01:12:01 2014  GCD is 1, no factor found
Thu Dec 18 01:12:01 2014  reading relations for dependency 5
Thu Dec 18 01:12:01 2014  read 205616 cycles
Thu Dec 18 01:12:02 2014  cycles contain 632466 unique relations
Thu Dec 18 01:12:09 2014  read 632466 relations
Thu Dec 18 01:12:10 2014  multiplying 632466 relations
Thu Dec 18 01:12:18 2014  multiply complete, coefficients have about 13.52 million bits
Thu Dec 18 01:12:18 2014  initial square root is modulo 58524461
Thu Dec 18 01:12:28 2014  Newton iteration failed to converge
Thu Dec 18 01:12:28 2014  algebraic square root failed
Thu Dec 18 01:12:28 2014  reading relations for dependency 6
Thu Dec 18 01:12:28 2014  read 206054 cycles
Thu Dec 18 01:12:28 2014  cycles contain 632174 unique relations
Thu Dec 18 01:12:35 2014  read 632174 relations
Thu Dec 18 01:12:36 2014  multiplying 632174 relations
Thu Dec 18 01:12:44 2014  multiply complete, coefficients have about 13.51 million bits
Thu Dec 18 01:12:44 2014  initial square root is modulo 57950071
Thu Dec 18 01:12:54 2014  GCD is N, no factor found
Thu Dec 18 01:12:54 2014  reading relations for dependency 7
Thu Dec 18 01:12:54 2014  read 205451 cycles
Thu Dec 18 01:12:54 2014  cycles contain 631784 unique relations
Thu Dec 18 01:13:01 2014  read 631784 relations
Thu Dec 18 01:13:02 2014  multiplying 631784 relations
Thu Dec 18 01:13:10 2014  multiply complete, coefficients have about 13.50 million bits
Thu Dec 18 01:13:10 2014  initial square root is modulo 57375061
Thu Dec 18 01:13:20 2014  Newton iteration failed to converge
Thu Dec 18 01:13:20 2014  algebraic square root failed
Thu Dec 18 01:13:20 2014  reading relations for dependency 8
Thu Dec 18 01:13:20 2014  read 206447 cycles
Thu Dec 18 01:13:20 2014  cycles contain 633382 unique relations
Thu Dec 18 01:13:27 2014  read 633382 relations
Thu Dec 18 01:13:29 2014  multiplying 633382 relations
Thu Dec 18 01:13:36 2014  multiply complete, coefficients have about 13.54 million bits
Thu Dec 18 01:13:36 2014  initial square root is modulo 60092141
Thu Dec 18 01:13:46 2014  GCD is N, no factor found
Thu Dec 18 01:13:46 2014  reading relations for dependency 9
Thu Dec 18 01:13:46 2014  read 205662 cycles
Thu Dec 18 01:13:46 2014  cycles contain 633014 unique relations
Thu Dec 18 01:13:53 2014  read 633014 relations
Thu Dec 18 01:13:55 2014  multiplying 633014 relations
Thu Dec 18 01:14:02 2014  multiply complete, coefficients have about 13.53 million bits
Thu Dec 18 01:14:02 2014  initial square root is modulo 59394851
Thu Dec 18 01:14:12 2014  sqrtTime: 235
--
n: 4710481018830246312468249402558234239332793697339818695959422814253375525929394218334816127825828925227985935448678342536690112546214559
m: 10000000000000000000000000000000
deg: 5
c5: 1
c0: 629
skew: 3.63
# Murphy_E = 9.465e-10
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:47:11 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 11 秒 (日本時間)

10156+6299

c155

name 名前Dmitry Domanov
date 日付December 9, 2014 12:16:53 UTC 2014 年 12 月 9 日 (火) 21 時 16 分 53 秒 (日本時間)
composite number 合成数
15873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015883<155>
prime factors 素因数
276403248327076262903209423354074548014133288351683<51>
57427023629739896317728472045985129738375012846711110156171893731145135776161136690657572175173846877401<104>
factorization results 素因数分解の結果
N=15873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015883
  ( 155 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=276403248327076262903209423354074548014133288351683 (pp51)
 r2=57427023629739896317728472045985129738375012846711110156171893731145135776161136690657572175173846877401 (pp104)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 18.03 hours.
Scaled time: 32.28 units (timescale=1.790).
Factorization parameters were as follows:
n: 15873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015883
m: 10000000000000000000000000000000
deg: 5
c5: 10
c0: 629
skew: 2.29
# Murphy_E = 6.422e-10
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1400000, 2700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 555793 x 556019
Total sieving time: 17.45 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.31 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,156.000,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 18.03 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 8, 2014 19:27:22 UTC 2014 年 12 月 9 日 (火) 4 時 27 分 22 秒 (日本時間)

10158+6299

c143

name 名前Cyp
date 日付December 16, 2014 21:29:15 UTC 2014 年 12 月 17 日 (水) 6 時 29 分 15 秒 (日本時間)
composite number 合成数
22678083634080987086137986077679377041122206822143024476022212900484621500474980181280564396726479563731664254047123403321073240101526045142337<143>
prime factors 素因数
159072850075693024887251619069894210112691993844768165403289<60>
142564137269747013998614278044733874264445185518119578363100339338749551237309184233<84>
factorization results 素因数分解の結果
12/16/14 19:11:49 v1.34.3, 
12/16/14 19:11:49 v1.34.3, ****************************
12/16/14 19:11:49 v1.34.3, Starting factorization of 22678083634080987086137986077679377041122206822143024476022212900484621500474980181280564396726479563731664254047123403321073240101526045142337
12/16/14 19:11:49 v1.34.3, using pretesting plan: none
12/16/14 19:11:49 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/16/14 19:11:49 v1.34.3, ****************************
12/16/14 19:11:49 v1.34.3, nfs: commencing nfs on c143: 22678083634080987086137986077679377041122206822143024476022212900484621500474980181280564396726479563731664254047123403321073240101526045142337
12/16/14 19:11:49 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/16/14 19:11:49 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/16/14 19:16:04 v1.34.3, nfs: commencing lattice sieving with 8 threads
[41 lines snipped]
12/16/14 22:13:19 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/16/14 22:17:35 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/16/14 22:21:47 v1.34.3, nfs: commencing msieve filtering
12/16/14 22:23:33 v1.34.3, nfs: commencing msieve linear algebra
12/16/14 22:28:35 v1.34.3, nfs: commencing msieve sqrt
12/16/14 22:29:14 v1.34.3, prp60 = 159072850075693024887251619069894210112691993844768165403289
12/16/14 22:29:14 v1.34.3, prp84 = 142564137269747013998614278044733874264445185518119578363100339338749551237309184233
12/16/14 22:29:14 v1.34.3, NFS elapsed time = 11844.9234 seconds.
12/16/14 22:29:14 v1.34.3, 
12/16/14 22:29:14 v1.34.3, 
12/16/14 22:29:14 v1.34.3, Total factoring time = 11844.9242 seconds
--
Tue Dec 16 22:21:47 2014  
Tue Dec 16 22:21:47 2014  commencing relation filtering
Tue Dec 16 22:21:47 2014  estimated available RAM is 15987.3 MB
Tue Dec 16 22:21:47 2014  commencing duplicate removal, pass 1
Tue Dec 16 22:22:15 2014  found 1404235 hash collisions in 10092321 relations
Tue Dec 16 22:22:24 2014  added 359040 free relations
Tue Dec 16 22:22:24 2014  commencing duplicate removal, pass 2
Tue Dec 16 22:22:32 2014  found 975166 duplicates and 9476195 unique relations
Tue Dec 16 22:22:32 2014  memory use: 41.3 MB
Tue Dec 16 22:22:32 2014  reading ideals above 100000
Tue Dec 16 22:22:32 2014  commencing singleton removal, initial pass
Tue Dec 16 22:23:13 2014  memory use: 188.2 MB
Tue Dec 16 22:23:13 2014  reading all ideals from disk
Tue Dec 16 22:23:13 2014  memory use: 331.0 MB
Tue Dec 16 22:23:13 2014  keeping 9732919 ideals with weight <= 200, target excess is 51260
Tue Dec 16 22:23:14 2014  commencing in-memory singleton removal
Tue Dec 16 22:23:14 2014  begin with 9476195 relations and 9732919 unique ideals
Tue Dec 16 22:23:17 2014  reduce to 4555632 relations and 3698713 ideals in 12 passes
Tue Dec 16 22:23:17 2014  max relations containing the same ideal: 124
Tue Dec 16 22:23:18 2014  removing 1314103 relations and 915374 ideals in 398729 cliques
Tue Dec 16 22:23:18 2014  commencing in-memory singleton removal
Tue Dec 16 22:23:19 2014  begin with 3241529 relations and 3698713 unique ideals
Tue Dec 16 22:23:20 2014  reduce to 2990790 relations and 2506415 ideals in 8 passes
Tue Dec 16 22:23:20 2014  max relations containing the same ideal: 100
Tue Dec 16 22:23:20 2014  removing 1113608 relations and 714879 ideals in 398729 cliques
Tue Dec 16 22:23:21 2014  commencing in-memory singleton removal
Tue Dec 16 22:23:21 2014  begin with 1877182 relations and 2506415 unique ideals
Tue Dec 16 22:23:21 2014  reduce to 1643956 relations and 1527694 ideals in 10 passes
Tue Dec 16 22:23:21 2014  max relations containing the same ideal: 59
Tue Dec 16 22:23:22 2014  removing 239010 relations and 182210 ideals in 56800 cliques
Tue Dec 16 22:23:22 2014  commencing in-memory singleton removal
Tue Dec 16 22:23:22 2014  begin with 1404946 relations and 1527694 unique ideals
Tue Dec 16 22:23:22 2014  reduce to 1376074 relations and 1315575 ideals in 7 passes
Tue Dec 16 22:23:22 2014  max relations containing the same ideal: 55
Tue Dec 16 22:23:22 2014  relations with 0 large ideals: 1213
Tue Dec 16 22:23:22 2014  relations with 1 large ideals: 543
Tue Dec 16 22:23:22 2014  relations with 2 large ideals: 8619
Tue Dec 16 22:23:22 2014  relations with 3 large ideals: 56059
Tue Dec 16 22:23:22 2014  relations with 4 large ideals: 188117
Tue Dec 16 22:23:22 2014  relations with 5 large ideals: 351238
Tue Dec 16 22:23:22 2014  relations with 6 large ideals: 397521
Tue Dec 16 22:23:22 2014  relations with 7+ large ideals: 372764
Tue Dec 16 22:23:22 2014  commencing 2-way merge
Tue Dec 16 22:23:23 2014  reduce to 854492 relation sets and 793993 unique ideals
Tue Dec 16 22:23:23 2014  commencing full merge
Tue Dec 16 22:23:30 2014  memory use: 103.4 MB
Tue Dec 16 22:23:30 2014  found 440985 cycles, need 432193
Tue Dec 16 22:23:30 2014  weight of 432193 cycles is about 30467762 (70.50/cycle)
Tue Dec 16 22:23:30 2014  distribution of cycle lengths:
Tue Dec 16 22:23:30 2014  1 relations: 38539
Tue Dec 16 22:23:30 2014  2 relations: 42613
Tue Dec 16 22:23:30 2014  3 relations: 46214
Tue Dec 16 22:23:30 2014  4 relations: 45663
Tue Dec 16 22:23:30 2014  5 relations: 44567
Tue Dec 16 22:23:30 2014  6 relations: 41112
Tue Dec 16 22:23:30 2014  7 relations: 36856
Tue Dec 16 22:23:30 2014  8 relations: 31551
Tue Dec 16 22:23:30 2014  9 relations: 26171
Tue Dec 16 22:23:30 2014  10+ relations: 78907
Tue Dec 16 22:23:30 2014  heaviest cycle: 19 relations
Tue Dec 16 22:23:31 2014  commencing cycle optimization
Tue Dec 16 22:23:31 2014  start with 2615646 relations
Tue Dec 16 22:23:33 2014  pruned 80273 relations
Tue Dec 16 22:23:33 2014  memory use: 82.8 MB
Tue Dec 16 22:23:33 2014  distribution of cycle lengths:
Tue Dec 16 22:23:33 2014  1 relations: 38539
Tue Dec 16 22:23:33 2014  2 relations: 43518
Tue Dec 16 22:23:33 2014  3 relations: 47827
Tue Dec 16 22:23:33 2014  4 relations: 47135
Tue Dec 16 22:23:33 2014  5 relations: 46352
Tue Dec 16 22:23:33 2014  6 relations: 42476
Tue Dec 16 22:23:33 2014  7 relations: 38029
Tue Dec 16 22:23:33 2014  8 relations: 31963
Tue Dec 16 22:23:33 2014  9 relations: 26104
Tue Dec 16 22:23:33 2014  10+ relations: 70250
Tue Dec 16 22:23:33 2014  heaviest cycle: 19 relations
Tue Dec 16 22:23:33 2014  RelProcTime: 106
Tue Dec 16 22:23:33 2014  
Tue Dec 16 22:23:33 2014  commencing linear algebra
Tue Dec 16 22:23:34 2014  read 432193 cycles
Tue Dec 16 22:23:34 2014  cycles contain 1333700 unique relations
Tue Dec 16 22:23:43 2014  read 1333700 relations
Tue Dec 16 22:23:44 2014  using 20 quadratic characters above 134217368
Tue Dec 16 22:23:48 2014  building initial matrix
Tue Dec 16 22:23:55 2014  memory use: 167.4 MB
Tue Dec 16 22:23:55 2014  read 432193 cycles
Tue Dec 16 22:23:55 2014  matrix is 432016 x 432193 (129.0 MB) with weight 38716785 (89.58/col)
Tue Dec 16 22:23:55 2014  sparse part has weight 29063905 (67.25/col)
Tue Dec 16 22:23:57 2014  filtering completed in 2 passes
Tue Dec 16 22:23:57 2014  matrix is 431902 x 432079 (129.0 MB) with weight 38712845 (89.60/col)
Tue Dec 16 22:23:57 2014  sparse part has weight 29062417 (67.26/col)
Tue Dec 16 22:23:58 2014  matrix starts at (0, 0)
Tue Dec 16 22:23:58 2014  matrix is 431902 x 432079 (129.0 MB) with weight 38712845 (89.60/col)
Tue Dec 16 22:23:58 2014  sparse part has weight 29062417 (67.26/col)
Tue Dec 16 22:23:58 2014  saving the first 48 matrix rows for later
Tue Dec 16 22:23:58 2014  matrix includes 64 packed rows
Tue Dec 16 22:23:58 2014  matrix is 431854 x 432079 (122.1 MB) with weight 30536248 (70.67/col)
Tue Dec 16 22:23:58 2014  sparse part has weight 27683391 (64.07/col)
Tue Dec 16 22:23:58 2014  using block size 65536 for processor cache size 8192 kB
Tue Dec 16 22:23:59 2014  commencing Lanczos iteration (8 threads)
Tue Dec 16 22:23:59 2014  memory use: 117.9 MB
Tue Dec 16 22:24:06 2014  linear algebra at 2.8%, ETA 0h 4m
Tue Dec 16 22:28:34 2014  lanczos halted after 6831 iterations (dim = 431853)
Tue Dec 16 22:28:35 2014  recovered 37 nontrivial dependencies
Tue Dec 16 22:28:35 2014  BLanczosTime: 302
Tue Dec 16 22:28:35 2014  
Tue Dec 16 22:28:35 2014  commencing square root phase
Tue Dec 16 22:28:35 2014  reading relations for dependency 1
Tue Dec 16 22:28:35 2014  read 216229 cycles
Tue Dec 16 22:28:35 2014  cycles contain 666420 unique relations
Tue Dec 16 22:28:43 2014  read 666420 relations
Tue Dec 16 22:28:44 2014  multiplying 666420 relations
Tue Dec 16 22:28:57 2014  multiply complete, coefficients have about 20.81 million bits
Tue Dec 16 22:28:57 2014  initial square root is modulo 949211
Tue Dec 16 22:29:14 2014  sqrtTime: 39
--
n: 22678083634080987086137986077679377041122206822143024476022212900484621500474980181280564396726479563731664254047123403321073240101526045142337
m: 10000000000000000000000000000000
deg: 5
c5: 1000
c0: 629
skew: 0.91
# Murphy_E = 5.255e-10
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:47:11 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 11 秒 (日本時間)

10159+6299

c149

name 名前Cyp
date 日付December 15, 2014 23:37:09 UTC 2014 年 12 月 16 日 (火) 8 時 37 分 9 秒 (日本時間)
composite number 合成数
30553548544128885540480284685959011757054579333305571095877098974518060246495714164972379746258759892601633374366929294034836974623044500255933281227<149>
prime factors 素因数
2773760336561765944403671266531680356646467484329020234341227<61>
11015208538889755222466883472471994143054151013223438196090197131553868932922202527220001<89>
factorization results 素因数分解の結果
12/15/14 20:56:05 v1.34.3, 
12/15/14 20:56:05 v1.34.3, ****************************
12/15/14 20:56:05 v1.34.3, Starting factorization of 30553548544128885540480284685959011757054579333305571095877098974518060246495714164972379746258759892601633374366929294034836974623044500255933281227
12/15/14 20:56:05 v1.34.3, using pretesting plan: none
12/15/14 20:56:05 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/15/14 20:56:05 v1.34.3, ****************************
12/15/14 20:56:05 v1.34.3, nfs: commencing nfs on c149: 30553548544128885540480284685959011757054579333305571095877098974518060246495714164972379746258759892601633374366929294034836974623044500255933281227
12/15/14 20:56:05 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/15/14 20:56:05 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/15/14 21:00:26 v1.34.3, nfs: commencing lattice sieving with 8 threads
[44 lines snipped]
12/16/14 00:20:51 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/16/14 00:25:05 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/16/14 00:29:20 v1.34.3, nfs: commencing msieve filtering
12/16/14 00:31:06 v1.34.3, nfs: commencing msieve linear algebra
12/16/14 00:36:33 v1.34.3, nfs: commencing msieve sqrt
12/16/14 00:37:08 v1.34.3, prp89 = 11015208538889755222466883472471994143054151013223438196090197131553868932922202527220001
12/16/14 00:37:08 v1.34.3, prp61 = 2773760336561765944403671266531680356646467484329020234341227
12/16/14 00:37:08 v1.34.3, NFS elapsed time = 13262.7597 seconds.
12/16/14 00:37:08 v1.34.3, 
12/16/14 00:37:08 v1.34.3, 
12/16/14 00:37:08 v1.34.3, Total factoring time = 13262.7606 seconds
--
Tue Dec 16 00:29:20 2014  
Tue Dec 16 00:29:20 2014  commencing relation filtering
Tue Dec 16 00:29:20 2014  estimated available RAM is 15987.3 MB
Tue Dec 16 00:29:20 2014  commencing duplicate removal, pass 1
Tue Dec 16 00:29:48 2014  found 1428340 hash collisions in 10161300 relations
Tue Dec 16 00:29:56 2014  added 359097 free relations
Tue Dec 16 00:29:56 2014  commencing duplicate removal, pass 2
Tue Dec 16 00:30:04 2014  found 997009 duplicates and 9523388 unique relations
Tue Dec 16 00:30:04 2014  memory use: 41.3 MB
Tue Dec 16 00:30:04 2014  reading ideals above 100000
Tue Dec 16 00:30:04 2014  commencing singleton removal, initial pass
Tue Dec 16 00:30:45 2014  memory use: 188.2 MB
Tue Dec 16 00:30:45 2014  reading all ideals from disk
Tue Dec 16 00:30:45 2014  memory use: 334.0 MB
Tue Dec 16 00:30:45 2014  keeping 9771621 ideals with weight <= 200, target excess is 51540
Tue Dec 16 00:30:46 2014  commencing in-memory singleton removal
Tue Dec 16 00:30:46 2014  begin with 9523388 relations and 9771621 unique ideals
Tue Dec 16 00:30:49 2014  reduce to 4606776 relations and 3748130 ideals in 12 passes
Tue Dec 16 00:30:49 2014  max relations containing the same ideal: 130
Tue Dec 16 00:30:50 2014  removing 1316121 relations and 916691 ideals in 399430 cliques
Tue Dec 16 00:30:50 2014  commencing in-memory singleton removal
Tue Dec 16 00:30:50 2014  begin with 3290655 relations and 3748130 unique ideals
Tue Dec 16 00:30:51 2014  reduce to 3040622 relations and 2555116 ideals in 7 passes
Tue Dec 16 00:30:51 2014  max relations containing the same ideal: 94
Tue Dec 16 00:30:52 2014  removing 1117368 relations and 717938 ideals in 399430 cliques
Tue Dec 16 00:30:52 2014  commencing in-memory singleton removal
Tue Dec 16 00:30:52 2014  begin with 1923254 relations and 2555116 unique ideals
Tue Dec 16 00:30:53 2014  reduce to 1690873 relations and 1574913 ideals in 10 passes
Tue Dec 16 00:30:53 2014  max relations containing the same ideal: 62
Tue Dec 16 00:30:53 2014  removing 237097 relations and 180924 ideals in 56173 cliques
Tue Dec 16 00:30:53 2014  commencing in-memory singleton removal
Tue Dec 16 00:30:53 2014  begin with 1453776 relations and 1574913 unique ideals
Tue Dec 16 00:30:54 2014  reduce to 1426254 relations and 1365546 ideals in 8 passes
Tue Dec 16 00:30:54 2014  max relations containing the same ideal: 55
Tue Dec 16 00:30:54 2014  relations with 0 large ideals: 1235
Tue Dec 16 00:30:54 2014  relations with 1 large ideals: 563
Tue Dec 16 00:30:54 2014  relations with 2 large ideals: 8171
Tue Dec 16 00:30:54 2014  relations with 3 large ideals: 54823
Tue Dec 16 00:30:54 2014  relations with 4 large ideals: 186441
Tue Dec 16 00:30:54 2014  relations with 5 large ideals: 355968
Tue Dec 16 00:30:54 2014  relations with 6 large ideals: 414683
Tue Dec 16 00:30:54 2014  relations with 7+ large ideals: 404370
Tue Dec 16 00:30:54 2014  commencing 2-way merge
Tue Dec 16 00:30:54 2014  reduce to 889824 relation sets and 829116 unique ideals
Tue Dec 16 00:30:54 2014  commencing full merge
Tue Dec 16 00:31:02 2014  memory use: 108.0 MB
Tue Dec 16 00:31:02 2014  found 462059 cycles, need 453316
Tue Dec 16 00:31:02 2014  weight of 453316 cycles is about 31794043 (70.14/cycle)
Tue Dec 16 00:31:02 2014  distribution of cycle lengths:
Tue Dec 16 00:31:02 2014  1 relations: 41647
Tue Dec 16 00:31:02 2014  2 relations: 45474
Tue Dec 16 00:31:02 2014  3 relations: 48904
Tue Dec 16 00:31:02 2014  4 relations: 48443
Tue Dec 16 00:31:02 2014  5 relations: 47338
Tue Dec 16 00:31:02 2014  6 relations: 43653
Tue Dec 16 00:31:02 2014  7 relations: 38722
Tue Dec 16 00:31:02 2014  8 relations: 32799
Tue Dec 16 00:31:02 2014  9 relations: 26918
Tue Dec 16 00:31:02 2014  10+ relations: 79418
Tue Dec 16 00:31:02 2014  heaviest cycle: 20 relations
Tue Dec 16 00:31:03 2014  commencing cycle optimization
Tue Dec 16 00:31:03 2014  start with 2703750 relations
Tue Dec 16 00:31:05 2014  pruned 82628 relations
Tue Dec 16 00:31:05 2014  memory use: 85.8 MB
Tue Dec 16 00:31:05 2014  distribution of cycle lengths:
Tue Dec 16 00:31:05 2014  1 relations: 41647
Tue Dec 16 00:31:05 2014  2 relations: 46511
Tue Dec 16 00:31:05 2014  3 relations: 50692
Tue Dec 16 00:31:05 2014  4 relations: 50091
Tue Dec 16 00:31:05 2014  5 relations: 49242
Tue Dec 16 00:31:05 2014  6 relations: 44985
Tue Dec 16 00:31:05 2014  7 relations: 39689
Tue Dec 16 00:31:05 2014  8 relations: 33036
Tue Dec 16 00:31:05 2014  9 relations: 26956
Tue Dec 16 00:31:05 2014  10+ relations: 70467
Tue Dec 16 00:31:05 2014  heaviest cycle: 20 relations
Tue Dec 16 00:31:06 2014  RelProcTime: 106
Tue Dec 16 00:31:06 2014  
Tue Dec 16 00:31:06 2014  commencing linear algebra
Tue Dec 16 00:31:06 2014  read 453316 cycles
Tue Dec 16 00:31:06 2014  cycles contain 1384451 unique relations
Tue Dec 16 00:31:15 2014  read 1384451 relations
Tue Dec 16 00:31:16 2014  using 20 quadratic characters above 134213484
Tue Dec 16 00:31:20 2014  building initial matrix
Tue Dec 16 00:31:27 2014  memory use: 170.8 MB
Tue Dec 16 00:31:27 2014  read 453316 cycles
Tue Dec 16 00:31:28 2014  matrix is 453145 x 453316 (134.8 MB) with weight 39783669 (87.76/col)
Tue Dec 16 00:31:28 2014  sparse part has weight 30356639 (66.97/col)
Tue Dec 16 00:31:29 2014  filtering completed in 2 passes
Tue Dec 16 00:31:29 2014  matrix is 453004 x 453180 (134.8 MB) with weight 39778270 (87.78/col)
Tue Dec 16 00:31:29 2014  sparse part has weight 30354120 (66.98/col)
Tue Dec 16 00:31:30 2014  matrix starts at (0, 0)
Tue Dec 16 00:31:30 2014  matrix is 453004 x 453180 (134.8 MB) with weight 39778270 (87.78/col)
Tue Dec 16 00:31:30 2014  sparse part has weight 30354120 (66.98/col)
Tue Dec 16 00:31:30 2014  saving the first 48 matrix rows for later
Tue Dec 16 00:31:30 2014  matrix includes 64 packed rows
Tue Dec 16 00:31:30 2014  matrix is 452956 x 453180 (127.2 MB) with weight 31469769 (69.44/col)
Tue Dec 16 00:31:30 2014  sparse part has weight 28813339 (63.58/col)
Tue Dec 16 00:31:30 2014  using block size 65536 for processor cache size 8192 kB
Tue Dec 16 00:31:31 2014  commencing Lanczos iteration (8 threads)
Tue Dec 16 00:31:31 2014  memory use: 123.1 MB
Tue Dec 16 00:31:39 2014  linear algebra at 2.7%, ETA 0h 4m
Tue Dec 16 00:36:33 2014  lanczos halted after 7165 iterations (dim = 452956)
Tue Dec 16 00:36:33 2014  recovered 39 nontrivial dependencies
Tue Dec 16 00:36:33 2014  BLanczosTime: 327
Tue Dec 16 00:36:33 2014  
Tue Dec 16 00:36:33 2014  commencing square root phase
Tue Dec 16 00:36:33 2014  reading relations for dependency 1
Tue Dec 16 00:36:33 2014  read 226944 cycles
Tue Dec 16 00:36:33 2014  cycles contain 693010 unique relations
Tue Dec 16 00:36:41 2014  read 693010 relations
Tue Dec 16 00:36:43 2014  multiplying 693010 relations
Tue Dec 16 00:36:54 2014  multiply complete, coefficients have about 18.12 million bits
Tue Dec 16 00:36:54 2014  initial square root is modulo 159911
Tue Dec 16 00:37:08 2014  sqrtTime: 35
--
n: 30553548544128885540480284685959011757054579333305571095877098974518060246495714164972379746258759892601633374366929294034836974623044500255933281227
m: 50000000000000000000000000000000
deg: 5
c5: 16
c0: 3145
skew: 2.88
# Murphy_E = 4.725e-10
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:47:12 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 12 秒 (日本時間)

10161+6299

c150

name 名前Cyp
date 日付December 15, 2014 14:06:55 UTC 2014 年 12 月 15 日 (月) 23 時 6 分 55 秒 (日本時間)
composite number 合成数
200290296936041975481197807774220970388991014376622868966575551936514706778923855134438241953612538990807707981281847875340552222145083999553620810517<150>
prime factors 素因数
7227862656143166446535583736789484849344161<43>
27710860936989380168765525838103223658194646898930161293088119441222018453947188886165557105810881134762997<107>
factorization results 素因数分解の結果
12/15/14 11:10:21 v1.34.3, 
12/15/14 11:10:21 v1.34.3, ****************************
12/15/14 11:10:21 v1.34.3, Starting factorization of 200290296936041975481197807774220970388991014376622868966575551936514706778923855134438241953612538990807707981281847875340552222145083999553620810517
12/15/14 11:10:21 v1.34.3, using pretesting plan: none
12/15/14 11:10:21 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/15/14 11:10:21 v1.34.3, ****************************
12/15/14 11:10:21 v1.34.3, nfs: commencing nfs on c150: 200290296936041975481197807774220970388991014376622868966575551936514706778923855134438241953612538990807707981281847875340552222145083999553620810517
12/15/14 11:10:21 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/15/14 11:10:21 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/15/14 11:14:27 v1.34.3, nfs: commencing lattice sieving with 8 threads
[48 lines snipped]
12/15/14 14:44:04 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/15/14 14:48:26 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/15/14 14:52:39 v1.34.3, nfs: commencing msieve filtering
12/15/14 14:54:30 v1.34.3, nfs: commencing msieve linear algebra
12/15/14 15:03:52 v1.34.3, nfs: commencing msieve sqrt
12/15/14 15:06:54 v1.34.3, prp107 = 27710860936989380168765525838103223658194646898930161293088119441222018453947188886165557105810881134762997
12/15/14 15:06:54 v1.34.3, prp43 = 7227862656143166446535583736789484849344161
12/15/14 15:06:54 v1.34.3, NFS elapsed time = 14192.4754 seconds.
12/15/14 15:06:54 v1.34.3, 
12/15/14 15:06:54 v1.34.3, 
12/15/14 15:06:54 v1.34.3, Total factoring time = 14192.4764 seconds
--
Mon Dec 15 14:52:39 2014  
Mon Dec 15 14:52:39 2014  commencing relation filtering
Mon Dec 15 14:52:39 2014  estimated available RAM is 15987.3 MB
Mon Dec 15 14:52:39 2014  commencing duplicate removal, pass 1
Mon Dec 15 14:53:07 2014  found 1412125 hash collisions in 10195872 relations
Mon Dec 15 14:53:16 2014  added 365996 free relations
Mon Dec 15 14:53:16 2014  commencing duplicate removal, pass 2
Mon Dec 15 14:53:24 2014  found 970562 duplicates and 9591306 unique relations
Mon Dec 15 14:53:24 2014  memory use: 41.3 MB
Mon Dec 15 14:53:24 2014  reading ideals above 100000
Mon Dec 15 14:53:24 2014  commencing singleton removal, initial pass
Mon Dec 15 14:54:05 2014  memory use: 344.5 MB
Mon Dec 15 14:54:05 2014  reading all ideals from disk
Mon Dec 15 14:54:05 2014  memory use: 341.2 MB
Mon Dec 15 14:54:05 2014  keeping 10289555 ideals with weight <= 200, target excess is 50888
Mon Dec 15 14:54:06 2014  commencing in-memory singleton removal
Mon Dec 15 14:54:06 2014  begin with 9591306 relations and 10289555 unique ideals
Mon Dec 15 14:54:09 2014  reduce to 4220993 relations and 3754334 ideals in 13 passes
Mon Dec 15 14:54:09 2014  max relations containing the same ideal: 121
Mon Dec 15 14:54:10 2014  removing 969116 relations and 765302 ideals in 203814 cliques
Mon Dec 15 14:54:10 2014  commencing in-memory singleton removal
Mon Dec 15 14:54:10 2014  begin with 3251877 relations and 3754334 unique ideals
Mon Dec 15 14:54:11 2014  reduce to 3067551 relations and 2793450 ideals in 10 passes
Mon Dec 15 14:54:11 2014  max relations containing the same ideal: 94
Mon Dec 15 14:54:12 2014  removing 782026 relations and 578212 ideals in 203814 cliques
Mon Dec 15 14:54:12 2014  commencing in-memory singleton removal
Mon Dec 15 14:54:12 2014  begin with 2285525 relations and 2793450 unique ideals
Mon Dec 15 14:54:13 2014  reduce to 2127705 relations and 2046705 ideals in 9 passes
Mon Dec 15 14:54:13 2014  max relations containing the same ideal: 72
Mon Dec 15 14:54:14 2014  removing 139922 relations and 117953 ideals in 21969 cliques
Mon Dec 15 14:54:14 2014  commencing in-memory singleton removal
Mon Dec 15 14:54:14 2014  begin with 1987783 relations and 2046705 unique ideals
Mon Dec 15 14:54:14 2014  reduce to 1981750 relations and 1922663 ideals in 7 passes
Mon Dec 15 14:54:14 2014  max relations containing the same ideal: 70
Mon Dec 15 14:54:14 2014  relations with 0 large ideals: 1124
Mon Dec 15 14:54:14 2014  relations with 1 large ideals: 369
Mon Dec 15 14:54:14 2014  relations with 2 large ideals: 6130
Mon Dec 15 14:54:14 2014  relations with 3 large ideals: 47279
Mon Dec 15 14:54:14 2014  relations with 4 large ideals: 189570
Mon Dec 15 14:54:14 2014  relations with 5 large ideals: 431119
Mon Dec 15 14:54:14 2014  relations with 6 large ideals: 592704
Mon Dec 15 14:54:14 2014  relations with 7+ large ideals: 713455
Mon Dec 15 14:54:14 2014  commencing 2-way merge
Mon Dec 15 14:54:15 2014  reduce to 1181257 relation sets and 1122170 unique ideals
Mon Dec 15 14:54:15 2014  commencing full merge
Mon Dec 15 14:54:26 2014  memory use: 143.4 MB
Mon Dec 15 14:54:26 2014  found 600105 cycles, need 592370
Mon Dec 15 14:54:26 2014  weight of 592370 cycles is about 41672752 (70.35/cycle)
Mon Dec 15 14:54:26 2014  distribution of cycle lengths:
Mon Dec 15 14:54:26 2014  1 relations: 63213
Mon Dec 15 14:54:26 2014  2 relations: 60544
Mon Dec 15 14:54:26 2014  3 relations: 61529
Mon Dec 15 14:54:26 2014  4 relations: 59394
Mon Dec 15 14:54:26 2014  5 relations: 56390
Mon Dec 15 14:54:26 2014  6 relations: 52117
Mon Dec 15 14:54:26 2014  7 relations: 46068
Mon Dec 15 14:54:26 2014  8 relations: 40772
Mon Dec 15 14:54:26 2014  9 relations: 34653
Mon Dec 15 14:54:26 2014  10+ relations: 117690
Mon Dec 15 14:54:26 2014  heaviest cycle: 22 relations
Mon Dec 15 14:54:26 2014  commencing cycle optimization
Mon Dec 15 14:54:27 2014  start with 3622908 relations
Mon Dec 15 14:54:30 2014  pruned 92391 relations
Mon Dec 15 14:54:30 2014  memory use: 117.7 MB
Mon Dec 15 14:54:30 2014  distribution of cycle lengths:
Mon Dec 15 14:54:30 2014  1 relations: 63213
Mon Dec 15 14:54:30 2014  2 relations: 61733
Mon Dec 15 14:54:30 2014  3 relations: 63597
Mon Dec 15 14:54:30 2014  4 relations: 60983
Mon Dec 15 14:54:30 2014  5 relations: 58104
Mon Dec 15 14:54:30 2014  6 relations: 53205
Mon Dec 15 14:54:30 2014  7 relations: 47047
Mon Dec 15 14:54:30 2014  8 relations: 41097
Mon Dec 15 14:54:30 2014  9 relations: 34659
Mon Dec 15 14:54:30 2014  10+ relations: 108732
Mon Dec 15 14:54:30 2014  heaviest cycle: 22 relations
Mon Dec 15 14:54:30 2014  RelProcTime: 111
Mon Dec 15 14:54:30 2014  
Mon Dec 15 14:54:30 2014  commencing linear algebra
Mon Dec 15 14:54:30 2014  read 592370 cycles
Mon Dec 15 14:54:31 2014  cycles contain 1939145 unique relations
Mon Dec 15 14:54:41 2014  read 1939145 relations
Mon Dec 15 14:54:43 2014  using 20 quadratic characters above 134212050
Mon Dec 15 14:54:48 2014  building initial matrix
Mon Dec 15 14:54:58 2014  memory use: 233.4 MB
Mon Dec 15 14:54:58 2014  read 592370 cycles
Mon Dec 15 14:54:58 2014  matrix is 592193 x 592370 (177.5 MB) with weight 52944507 (89.38/col)
Mon Dec 15 14:54:58 2014  sparse part has weight 40009300 (67.54/col)
Mon Dec 15 14:55:01 2014  filtering completed in 2 passes
Mon Dec 15 14:55:01 2014  matrix is 591928 x 592104 (177.5 MB) with weight 52935579 (89.40/col)
Mon Dec 15 14:55:01 2014  sparse part has weight 40006190 (67.57/col)
Mon Dec 15 14:55:02 2014  matrix starts at (0, 0)
Mon Dec 15 14:55:02 2014  matrix is 591928 x 592104 (177.5 MB) with weight 52935579 (89.40/col)
Mon Dec 15 14:55:02 2014  sparse part has weight 40006190 (67.57/col)
Mon Dec 15 14:55:02 2014  saving the first 48 matrix rows for later
Mon Dec 15 14:55:02 2014  matrix includes 64 packed rows
Mon Dec 15 14:55:02 2014  matrix is 591880 x 592104 (168.1 MB) with weight 41837955 (70.66/col)
Mon Dec 15 14:55:02 2014  sparse part has weight 38135996 (64.41/col)
Mon Dec 15 14:55:02 2014  using block size 65536 for processor cache size 8192 kB
Mon Dec 15 14:55:03 2014  commencing Lanczos iteration (8 threads)
Mon Dec 15 14:55:03 2014  memory use: 163.8 MB
Mon Dec 15 14:55:06 2014  linear algebra at 0.5%, ETA 0h 6m
Mon Dec 15 15:03:52 2014  lanczos halted after 9363 iterations (dim = 591880)
Mon Dec 15 15:03:52 2014  recovered 38 nontrivial dependencies
Mon Dec 15 15:03:52 2014  BLanczosTime: 562
Mon Dec 15 15:03:52 2014  
Mon Dec 15 15:03:52 2014  commencing square root phase
Mon Dec 15 15:03:52 2014  reading relations for dependency 1
Mon Dec 15 15:03:52 2014  read 296223 cycles
Mon Dec 15 15:03:52 2014  cycles contain 968268 unique relations
Mon Dec 15 15:04:01 2014  read 968268 relations
Mon Dec 15 15:04:03 2014  multiplying 968268 relations
Mon Dec 15 15:04:18 2014  multiply complete, coefficients have about 24.57 million bits
Mon Dec 15 15:04:18 2014  initial square root is modulo 11412361
Mon Dec 15 15:04:37 2014  GCD is 1, no factor found
Mon Dec 15 15:04:37 2014  reading relations for dependency 2
Mon Dec 15 15:04:37 2014  read 297054 cycles
Mon Dec 15 15:04:37 2014  cycles contain 972424 unique relations
Mon Dec 15 15:04:46 2014  read 972424 relations
Mon Dec 15 15:04:48 2014  multiplying 972424 relations
Mon Dec 15 15:05:03 2014  multiply complete, coefficients have about 24.68 million bits
Mon Dec 15 15:05:03 2014  initial square root is modulo 12256831
Mon Dec 15 15:05:23 2014  GCD is 1, no factor found
Mon Dec 15 15:05:23 2014  reading relations for dependency 3
Mon Dec 15 15:05:23 2014  read 295536 cycles
Mon Dec 15 15:05:24 2014  cycles contain 968580 unique relations
Mon Dec 15 15:05:32 2014  read 968580 relations
Mon Dec 15 15:05:34 2014  multiplying 968580 relations
Mon Dec 15 15:05:49 2014  multiply complete, coefficients have about 24.58 million bits
Mon Dec 15 15:05:49 2014  initial square root is modulo 11487181
Mon Dec 15 15:06:08 2014  GCD is N, no factor found
Mon Dec 15 15:06:08 2014  reading relations for dependency 4
Mon Dec 15 15:06:09 2014  read 296174 cycles
Mon Dec 15 15:06:09 2014  cycles contain 969140 unique relations
Mon Dec 15 15:06:17 2014  read 969140 relations
Mon Dec 15 15:06:19 2014  multiplying 969140 relations
Mon Dec 15 15:06:34 2014  multiply complete, coefficients have about 24.60 million bits
Mon Dec 15 15:06:34 2014  initial square root is modulo 11599051
Mon Dec 15 15:06:54 2014  sqrtTime: 182
--
n: 200290296936041975481197807774220970388991014376622868966575551936514706778923855134438241953612538990807707981281847875340552222145083999553620810517
m: 100000000000000000000000000000000
deg: 5
c5: 10
c0: 629
skew: 2.29
# Murphy_E = 4.118e-10
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:47:12 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 12 秒 (日本時間)

10162+6299

c131

name 名前Jo Yeong Uk
date 日付December 30, 2014 22:13:23 UTC 2014 年 12 月 31 日 (水) 7 時 13 分 23 秒 (日本時間)
composite number 合成数
21364930785721234646332014292580012377575296419645835121968484520483521278860024910732900352198517647617047680165400474062734886749<131>
prime factors 素因数
444560363861192528997095520835511332097<39>
48058559697400557684378484232243971981746994579669960241342732203413075700742272156442996317<92>
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 21364930785721234646332014292580012377575296419645835121968484520483521278860024910732900352198517647617047680165400474062734886749 (131 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3682866297
Step 1 took 5335ms
********** Factor found in step 1: 444560363861192528997095520835511332097
Found probable prime factor of 39 digits: 444560363861192528997095520835511332097
Probable prime cofactor 48058559697400557684378484232243971981746994579669960241342732203413075700742272156442996317 has 92 digits
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:47:13 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 13 秒 (日本時間)

10164+6299

c106

name 名前Erik Branger
date 日付December 8, 2014 18:41:09 UTC 2014 年 12 月 9 日 (火) 3 時 41 分 9 秒 (日本時間)
composite number 合成数
1324522672555487487235573808646432801190308779744123642021772379483309725599577756414957822567153874182199<106>
prime factors 素因数
617638831975047913850956520402835479137460955971<48>
2144493843303228515851751554106021199104891957857657206269<58>
factorization results 素因数分解の結果
Number: 11181_164
N = 1324522672555487487235573808646432801190308779744123642021772379483309725599577756414957822567153874182199 (106 digits)
Divisors found:
r1=617638831975047913850956520402835479137460955971 (pp48)
r2=2144493843303228515851751554106021199104891957857657206269 (pp58)
Version: Msieve v. 1.51 (SVN 845)
Total time: 4.25 hours.
Factorization parameters were as follows:
n: 1324522672555487487235573808646432801190308779744123642021772379483309725599577756414957822567153874182199
Y0: -43796584325855632503343415
Y1: 68098676524507
c0: 221573626355243734814968880154
c1: 157817965275249757558601
c2: -269738547112443586
c3: -2169164734
c4: 360
skew: 13385299.94
type: gnfs
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Sieved algebraic special-q in [0, 0)
Total raw relations: 5093647
Relations: 492580 relations
Pruned matrix : 290493 x 290720
Polynomial selection time: 0.00 hours.
Total sieving time: 4.14 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.06 hours.
time per square root: 0.02 hours.
Prototype def-par.txt line would be: gnfs,105,4,59,2000,0.0006,0.25,200,15,15000,2000,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 4.25 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
3025e40--
351e6118 / 904Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

10165+6299

c158

name 名前Cyp
date 日付February 25, 2015 14:47:01 UTC 2015 年 2 月 25 日 (水) 23 時 47 分 1 秒 (日本時間)
composite number 合成数
16305046018791206825644452460005067282201719931257273782935520374809962650520236135546260701022083440192528678986205066900663643091543034062855332810691388247<158>
prime factors 素因数
3112592800706393634016094351248046325529468992531979338757314335347<67>
5238412816186821918993631433540013363394776370791381940939928433124515904960203258137730701<91>
factorization results 素因数分解の結果
02/25/15 11:40:57 v1.34.3, 
02/25/15 11:40:57 v1.34.3, ****************************
02/25/15 11:40:57 v1.34.3, Starting factorization of 16305046018791206825644452460005067282201719931257273782935520374809962650520236135546260701022083440192528678986205066900663643091543034062855332810691388247
02/25/15 11:40:57 v1.34.3, using pretesting plan: none
02/25/15 11:40:57 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
02/25/15 11:40:57 v1.34.3, ****************************
02/25/15 11:40:57 v1.34.3, nfs: commencing nfs on c158: 16305046018791206825644452460005067282201719931257273782935520374809962650520236135546260701022083440192528678986205066900663643091543034062855332810691388247
02/25/15 11:40:57 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
02/25/15 11:40:57 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/25/15 11:45:21 v1.34.3, nfs: commencing lattice sieving with 8 threads
[47 lines snipped]
02/25/15 15:23:07 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/25/15 15:27:45 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/25/15 15:32:20 v1.34.3, nfs: commencing msieve filtering
02/25/15 15:34:14 v1.34.3, nfs: commencing msieve linear algebra
02/25/15 15:46:14 v1.34.3, nfs: commencing msieve sqrt
02/25/15 15:46:59 v1.34.3, prp91 = 5238412816186821918993631433540013363394776370791381940939928433124515904960203258137730701
02/25/15 15:46:59 v1.34.3, prp67 = 3112592800706393634016094351248046325529468992531979338757314335347
02/25/15 15:46:59 v1.34.3, NFS elapsed time = 14762.0294 seconds.
02/25/15 15:46:59 v1.34.3, 
02/25/15 15:46:59 v1.34.3, 
02/25/15 15:46:59 v1.34.3, Total factoring time = 14762.0303 seconds
--
Wed Feb 25 15:32:20 2015  
Wed Feb 25 15:32:20 2015  commencing relation filtering
Wed Feb 25 15:32:20 2015  estimated available RAM is 15987.3 MB
Wed Feb 25 15:32:20 2015  commencing duplicate removal, pass 1
Wed Feb 25 15:32:48 2015  found 1331284 hash collisions in 10063977 relations
Wed Feb 25 15:32:56 2015  added 365834 free relations
Wed Feb 25 15:32:56 2015  commencing duplicate removal, pass 2
Wed Feb 25 15:33:04 2015  found 880694 duplicates and 9549117 unique relations
Wed Feb 25 15:33:04 2015  memory use: 41.3 MB
Wed Feb 25 15:33:04 2015  reading ideals above 100000
Wed Feb 25 15:33:04 2015  commencing singleton removal, initial pass
Wed Feb 25 15:33:46 2015  memory use: 344.5 MB
Wed Feb 25 15:33:46 2015  reading all ideals from disk
Wed Feb 25 15:33:46 2015  memory use: 340.8 MB
Wed Feb 25 15:33:46 2015  keeping 10331448 ideals with weight <= 200, target excess is 50114
Wed Feb 25 15:33:47 2015  commencing in-memory singleton removal
Wed Feb 25 15:33:47 2015  begin with 9549117 relations and 10331448 unique ideals
Wed Feb 25 15:33:50 2015  reduce to 4134461 relations and 3738663 ideals in 16 passes
Wed Feb 25 15:33:50 2015  max relations containing the same ideal: 116
Wed Feb 25 15:33:52 2015  removing 878557 relations and 709724 ideals in 168833 cliques
Wed Feb 25 15:33:52 2015  commencing in-memory singleton removal
Wed Feb 25 15:33:52 2015  begin with 3255904 relations and 3738663 unique ideals
Wed Feb 25 15:33:53 2015  reduce to 3099422 relations and 2864216 ideals in 9 passes
Wed Feb 25 15:33:53 2015  max relations containing the same ideal: 97
Wed Feb 25 15:33:54 2015  removing 700507 relations and 531674 ideals in 168833 cliques
Wed Feb 25 15:33:54 2015  commencing in-memory singleton removal
Wed Feb 25 15:33:54 2015  begin with 2398915 relations and 2864216 unique ideals
Wed Feb 25 15:33:55 2015  reduce to 2269634 relations and 2196042 ideals in 9 passes
Wed Feb 25 15:33:55 2015  max relations containing the same ideal: 78
Wed Feb 25 15:33:56 2015  removing 108893 relations and 93434 ideals in 15459 cliques
Wed Feb 25 15:33:56 2015  commencing in-memory singleton removal
Wed Feb 25 15:33:56 2015  begin with 2160741 relations and 2196042 unique ideals
Wed Feb 25 15:33:56 2015  reduce to 2157243 relations and 2099084 ideals in 7 passes
Wed Feb 25 15:33:56 2015  max relations containing the same ideal: 74
Wed Feb 25 15:33:57 2015  relations with 0 large ideals: 1120
Wed Feb 25 15:33:57 2015  relations with 1 large ideals: 341
Wed Feb 25 15:33:57 2015  relations with 2 large ideals: 5548
Wed Feb 25 15:33:57 2015  relations with 3 large ideals: 44831
Wed Feb 25 15:33:57 2015  relations with 4 large ideals: 186609
Wed Feb 25 15:33:57 2015  relations with 5 large ideals: 444745
Wed Feb 25 15:33:57 2015  relations with 6 large ideals: 641682
Wed Feb 25 15:33:57 2015  relations with 7+ large ideals: 832367
Wed Feb 25 15:33:57 2015  commencing 2-way merge
Wed Feb 25 15:33:57 2015  reduce to 1285897 relation sets and 1227738 unique ideals
Wed Feb 25 15:33:57 2015  commencing full merge
Wed Feb 25 15:34:09 2015  memory use: 154.8 MB
Wed Feb 25 15:34:09 2015  found 651537 cycles, need 643938
Wed Feb 25 15:34:09 2015  weight of 643938 cycles is about 45237468 (70.25/cycle)
Wed Feb 25 15:34:09 2015  distribution of cycle lengths:
Wed Feb 25 15:34:09 2015  1 relations: 71383
Wed Feb 25 15:34:09 2015  2 relations: 67556
Wed Feb 25 15:34:09 2015  3 relations: 68334
Wed Feb 25 15:34:09 2015  4 relations: 65181
Wed Feb 25 15:34:09 2015  5 relations: 61093
Wed Feb 25 15:34:09 2015  6 relations: 55326
Wed Feb 25 15:34:09 2015  7 relations: 49037
Wed Feb 25 15:34:09 2015  8 relations: 42619
Wed Feb 25 15:34:09 2015  9 relations: 36256
Wed Feb 25 15:34:09 2015  10+ relations: 127153
Wed Feb 25 15:34:09 2015  heaviest cycle: 21 relations
Wed Feb 25 15:34:09 2015  commencing cycle optimization
Wed Feb 25 15:34:10 2015  start with 3909002 relations
Wed Feb 25 15:34:13 2015  pruned 94751 relations
Wed Feb 25 15:34:13 2015  memory use: 127.8 MB
Wed Feb 25 15:34:13 2015  distribution of cycle lengths:
Wed Feb 25 15:34:13 2015  1 relations: 71383
Wed Feb 25 15:34:13 2015  2 relations: 68859
Wed Feb 25 15:34:13 2015  3 relations: 70579
Wed Feb 25 15:34:13 2015  4 relations: 66652
Wed Feb 25 15:34:13 2015  5 relations: 62867
Wed Feb 25 15:34:13 2015  6 relations: 56585
Wed Feb 25 15:34:13 2015  7 relations: 49515
Wed Feb 25 15:34:13 2015  8 relations: 42966
Wed Feb 25 15:34:13 2015  9 relations: 36344
Wed Feb 25 15:34:13 2015  10+ relations: 118188
Wed Feb 25 15:34:13 2015  heaviest cycle: 21 relations
Wed Feb 25 15:34:14 2015  RelProcTime: 114
Wed Feb 25 15:34:14 2015  
Wed Feb 25 15:34:14 2015  commencing linear algebra
Wed Feb 25 15:34:14 2015  read 643938 cycles
Wed Feb 25 15:34:15 2015  cycles contain 2114601 unique relations
Wed Feb 25 15:34:25 2015  read 2114601 relations
Wed Feb 25 15:34:27 2015  using 20 quadratic characters above 134214528
Wed Feb 25 15:34:33 2015  building initial matrix
Wed Feb 25 15:34:44 2015  memory use: 262.9 MB
Wed Feb 25 15:34:44 2015  read 643938 cycles
Wed Feb 25 15:34:44 2015  matrix is 643760 x 643938 (192.9 MB) with weight 57607085 (89.46/col)
Wed Feb 25 15:34:44 2015  sparse part has weight 43483425 (67.53/col)
Wed Feb 25 15:34:47 2015  filtering completed in 2 passes
Wed Feb 25 15:34:47 2015  matrix is 643472 x 643650 (192.9 MB) with weight 57597315 (89.49/col)
Wed Feb 25 15:34:47 2015  sparse part has weight 43479993 (67.55/col)
Wed Feb 25 15:34:48 2015  matrix starts at (0, 0)
Wed Feb 25 15:34:48 2015  matrix is 643472 x 643650 (192.9 MB) with weight 57597315 (89.49/col)
Wed Feb 25 15:34:48 2015  sparse part has weight 43479993 (67.55/col)
Wed Feb 25 15:34:48 2015  saving the first 48 matrix rows for later
Wed Feb 25 15:34:48 2015  matrix includes 64 packed rows
Wed Feb 25 15:34:49 2015  matrix is 643424 x 643650 (182.7 MB) with weight 45607030 (70.86/col)
Wed Feb 25 15:34:49 2015  sparse part has weight 41466570 (64.42/col)
Wed Feb 25 15:34:49 2015  using block size 65536 for processor cache size 8192 kB
Wed Feb 25 15:34:50 2015  commencing Lanczos iteration (8 threads)
Wed Feb 25 15:34:50 2015  memory use: 177.8 MB
Wed Feb 25 15:34:53 2015  linear algebra at 0.5%, ETA 0h10m
Wed Feb 25 15:46:14 2015  lanczos halted after 10176 iterations (dim = 643422)
Wed Feb 25 15:46:14 2015  recovered 35 nontrivial dependencies
Wed Feb 25 15:46:14 2015  BLanczosTime: 720
Wed Feb 25 15:46:14 2015  
Wed Feb 25 15:46:14 2015  commencing square root phase
Wed Feb 25 15:46:14 2015  reading relations for dependency 1
Wed Feb 25 15:46:15 2015  read 322486 cycles
Wed Feb 25 15:46:15 2015  cycles contain 1058586 unique relations
Wed Feb 25 15:46:23 2015  read 1058586 relations
Wed Feb 25 15:46:26 2015  multiplying 1058586 relations
Wed Feb 25 15:46:40 2015  multiply complete, coefficients have about 23.79 million bits
Wed Feb 25 15:46:40 2015  initial square root is modulo 6820001
Wed Feb 25 15:46:59 2015  sqrtTime: 45
--
n: 16305046018791206825644452460005067282201719931257273782935520374809962650520236135546260701022083440192528678986205066900663643091543034062855332810691388247
m: 1000000000000000000000000000000000
deg: 5
c5: 1
c0: 629
skew: 3.63
# Murphy_E = 3.877e-10
type: snfs
lss: 1
rlim: 3900000
alim: 3900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62650300Serge BatalovDecember 10, 2014 19:47:13 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 13 秒 (日本時間)
2350Ignacio SantosFebruary 22, 2015 15:34:36 UTC 2015 年 2 月 23 日 (月) 0 時 34 分 36 秒 (日本時間)

10166+6299

c116

name 名前Ignacio Santos
date 日付December 8, 2014 22:28:32 UTC 2014 年 12 月 9 日 (火) 7 時 28 分 32 秒 (日本時間)
composite number 合成数
76685784883509834193822754760362419552247122100099751549687024962546465519665905586087812881852730722036923138553101<116>
prime factors 素因数
31446106799725815022542428759429<32>
2438641621740547961628966479098676611501823660581238387340552429727548647090423022569<85>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3798201951
Step 1 took 4640ms
********** Factor found in step 1: 31446106799725815022542428759429
Found probable prime factor of 32 digits: 31446106799725815022542428759429
Probable prime cofactor 2438641621740547961628966479098676611501823660581238387340552429727548647090423022569 has 85 digits
software ソフトウェア
GMP-ECM 7.0

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

10167+6299

c156

name 名前Cyp
date 日付March 6, 2015 12:20:06 UTC 2015 年 3 月 6 日 (金) 21 時 20 分 6 秒 (日本時間)
composite number 合成数
173811370132609801242574074551322727013642077178915329365977748067227284960782101717235285050845744710115157237732961237410557212937621090082673045337420911<156>
prime factors 素因数
44383868935627518305538513826679608754541250196345333983799308514533548818593<77>
3916093263178530991526178304814826601598841131280111050300515442335215510637327<79>
factorization results 素因数分解の結果
03/06/15 07:58:21 v1.34.3, 
03/06/15 07:58:21 v1.34.3, ****************************
03/06/15 07:58:21 v1.34.3, Starting factorization of 173811370132609801242574074551322727013642077178915329365977748067227284960782101717235285050845744710115157237732961237410557212937621090082673045337420911
03/06/15 07:58:21 v1.34.3, using pretesting plan: none
03/06/15 07:58:21 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
03/06/15 07:58:21 v1.34.3, ****************************
03/06/15 07:58:21 v1.34.3, nfs: commencing nfs on c156: 173811370132609801242574074551322727013642077178915329365977748067227284960782101717235285050845744710115157237732961237410557212937621090082673045337420911
03/06/15 07:58:21 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
03/06/15 07:58:21 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/06/15 08:03:01 v1.34.3, nfs: commencing lattice sieving with 8 threads
[62 lines snipped]
03/06/15 12:52:02 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/06/15 12:56:43 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/06/15 13:01:19 v1.34.3, nfs: commencing msieve filtering
03/06/15 13:03:17 v1.34.3, nfs: commencing msieve linear algebra
03/06/15 13:18:57 v1.34.3, nfs: commencing msieve sqrt
03/06/15 13:20:05 v1.34.3, prp79 = 3916093263178530991526178304814826601598841131280111050300515442335215510637327
03/06/15 13:20:05 v1.34.3, prp77 = 44383868935627518305538513826679608754541250196345333983799308514533548818593
03/06/15 13:20:05 v1.34.3, NFS elapsed time = 19303.1579 seconds.
03/06/15 13:20:05 v1.34.3, 
03/06/15 13:20:05 v1.34.3, 
03/06/15 13:20:05 v1.34.3, Total factoring time = 19303.1588 seconds
--
Fri Mar  6 13:01:19 2015  
Fri Mar  6 13:01:19 2015  commencing relation filtering
Fri Mar  6 13:01:19 2015  estimated available RAM is 15987.3 MB
Fri Mar  6 13:01:19 2015  commencing duplicate removal, pass 1
Fri Mar  6 13:01:47 2015  found 1411756 hash collisions in 10040423 relations
Fri Mar  6 13:01:55 2015  added 366528 free relations
Fri Mar  6 13:01:55 2015  commencing duplicate removal, pass 2
Fri Mar  6 13:02:03 2015  found 994032 duplicates and 9412919 unique relations
Fri Mar  6 13:02:03 2015  memory use: 41.3 MB
Fri Mar  6 13:02:03 2015  reading ideals above 100000
Fri Mar  6 13:02:03 2015  commencing singleton removal, initial pass
Fri Mar  6 13:02:46 2015  memory use: 344.5 MB
Fri Mar  6 13:02:46 2015  reading all ideals from disk
Fri Mar  6 13:02:46 2015  memory use: 339.2 MB
Fri Mar  6 13:02:46 2015  keeping 10340590 ideals with weight <= 200, target excess is 49729
Fri Mar  6 13:02:46 2015  commencing in-memory singleton removal
Fri Mar  6 13:02:47 2015  begin with 9412919 relations and 10340590 unique ideals
Fri Mar  6 13:02:50 2015  reduce to 3939700 relations and 3669959 ideals in 17 passes
Fri Mar  6 13:02:50 2015  max relations containing the same ideal: 120
Fri Mar  6 13:02:52 2015  removing 676177 relations and 570149 ideals in 106028 cliques
Fri Mar  6 13:02:52 2015  commencing in-memory singleton removal
Fri Mar  6 13:02:52 2015  begin with 3263523 relations and 3669959 unique ideals
Fri Mar  6 13:02:53 2015  reduce to 3164643 relations and 2997513 ideals in 11 passes
Fri Mar  6 13:02:53 2015  max relations containing the same ideal: 99
Fri Mar  6 13:02:54 2015  removing 528989 relations and 422961 ideals in 106028 cliques
Fri Mar  6 13:02:54 2015  commencing in-memory singleton removal
Fri Mar  6 13:02:54 2015  begin with 2635654 relations and 2997513 unique ideals
Fri Mar  6 13:02:55 2015  reduce to 2562789 relations and 2499139 ideals in 9 passes
Fri Mar  6 13:02:55 2015  max relations containing the same ideal: 83
Fri Mar  6 13:02:56 2015  relations with 0 large ideals: 1190
Fri Mar  6 13:02:56 2015  relations with 1 large ideals: 296
Fri Mar  6 13:02:56 2015  relations with 2 large ideals: 4985
Fri Mar  6 13:02:56 2015  relations with 3 large ideals: 41458
Fri Mar  6 13:02:56 2015  relations with 4 large ideals: 185701
Fri Mar  6 13:02:56 2015  relations with 5 large ideals: 473053
Fri Mar  6 13:02:56 2015  relations with 6 large ideals: 744594
Fri Mar  6 13:02:56 2015  relations with 7+ large ideals: 1111512
Fri Mar  6 13:02:56 2015  commencing 2-way merge
Fri Mar  6 13:02:57 2015  reduce to 1525129 relation sets and 1461479 unique ideals
Fri Mar  6 13:02:57 2015  commencing full merge
Fri Mar  6 13:03:12 2015  memory use: 184.3 MB
Fri Mar  6 13:03:12 2015  found 770185 cycles, need 757679
Fri Mar  6 13:03:12 2015  weight of 757679 cycles is about 53171008 (70.18/cycle)
Fri Mar  6 13:03:12 2015  distribution of cycle lengths:
Fri Mar  6 13:03:12 2015  1 relations: 92268
Fri Mar  6 13:03:12 2015  2 relations: 83768
Fri Mar  6 13:03:12 2015  3 relations: 83192
Fri Mar  6 13:03:12 2015  4 relations: 76608
Fri Mar  6 13:03:12 2015  5 relations: 70902
Fri Mar  6 13:03:12 2015  6 relations: 62472
Fri Mar  6 13:03:12 2015  7 relations: 54535
Fri Mar  6 13:03:12 2015  8 relations: 47417
Fri Mar  6 13:03:12 2015  9 relations: 40350
Fri Mar  6 13:03:12 2015  10+ relations: 146167
Fri Mar  6 13:03:12 2015  heaviest cycle: 22 relations
Fri Mar  6 13:03:12 2015  commencing cycle optimization
Fri Mar  6 13:03:13 2015  start with 4512244 relations
Fri Mar  6 13:03:17 2015  pruned 108103 relations
Fri Mar  6 13:03:17 2015  memory use: 148.5 MB
Fri Mar  6 13:03:17 2015  distribution of cycle lengths:
Fri Mar  6 13:03:17 2015  1 relations: 92268
Fri Mar  6 13:03:17 2015  2 relations: 85504
Fri Mar  6 13:03:17 2015  3 relations: 85751
Fri Mar  6 13:03:17 2015  4 relations: 78437
Fri Mar  6 13:03:17 2015  5 relations: 72741
Fri Mar  6 13:03:17 2015  6 relations: 63533
Fri Mar  6 13:03:17 2015  7 relations: 55357
Fri Mar  6 13:03:17 2015  8 relations: 47576
Fri Mar  6 13:03:17 2015  9 relations: 40275
Fri Mar  6 13:03:17 2015  10+ relations: 136237
Fri Mar  6 13:03:17 2015  heaviest cycle: 22 relations
Fri Mar  6 13:03:17 2015  RelProcTime: 118
Fri Mar  6 13:03:18 2015  
Fri Mar  6 13:03:18 2015  commencing linear algebra
Fri Mar  6 13:03:18 2015  read 757679 cycles
Fri Mar  6 13:03:19 2015  cycles contain 2471772 unique relations
Fri Mar  6 13:03:30 2015  read 2471772 relations
Fri Mar  6 13:03:32 2015  using 20 quadratic characters above 134216610
Fri Mar  6 13:03:40 2015  building initial matrix
Fri Mar  6 13:03:52 2015  memory use: 302.0 MB
Fri Mar  6 13:03:52 2015  read 757679 cycles
Fri Mar  6 13:03:53 2015  matrix is 757505 x 757679 (226.7 MB) with weight 66941028 (88.35/col)
Fri Mar  6 13:03:53 2015  sparse part has weight 51099016 (67.44/col)
Fri Mar  6 13:03:56 2015  filtering completed in 2 passes
Fri Mar  6 13:03:56 2015  matrix is 756589 x 756767 (226.6 MB) with weight 66908283 (88.41/col)
Fri Mar  6 13:03:56 2015  sparse part has weight 51085689 (67.51/col)
Fri Mar  6 13:03:57 2015  matrix starts at (0, 0)
Fri Mar  6 13:03:58 2015  matrix is 756589 x 756767 (226.6 MB) with weight 66908283 (88.41/col)
Fri Mar  6 13:03:58 2015  sparse part has weight 51085689 (67.51/col)
Fri Mar  6 13:03:58 2015  saving the first 48 matrix rows for later
Fri Mar  6 13:03:58 2015  matrix includes 64 packed rows
Fri Mar  6 13:03:58 2015  matrix is 756541 x 756767 (214.6 MB) with weight 53387615 (70.55/col)
Fri Mar  6 13:03:58 2015  sparse part has weight 48676728 (64.32/col)
Fri Mar  6 13:03:58 2015  using block size 65536 for processor cache size 8192 kB
Fri Mar  6 13:03:59 2015  commencing Lanczos iteration (8 threads)
Fri Mar  6 13:03:59 2015  memory use: 208.8 MB
Fri Mar  6 13:04:03 2015  linear algebra at 0.4%, ETA 0h16m
Fri Mar  6 13:18:56 2015  lanczos halted after 11964 iterations (dim = 756534)
Fri Mar  6 13:18:57 2015  recovered 33 nontrivial dependencies
Fri Mar  6 13:18:57 2015  BLanczosTime: 939
Fri Mar  6 13:18:57 2015  
Fri Mar  6 13:18:57 2015  commencing square root phase
Fri Mar  6 13:18:57 2015  reading relations for dependency 1
Fri Mar  6 13:18:57 2015  read 377919 cycles
Fri Mar  6 13:18:58 2015  cycles contain 1235066 unique relations
Fri Mar  6 13:19:07 2015  read 1235066 relations
Fri Mar  6 13:19:09 2015  multiplying 1235066 relations
Fri Mar  6 13:19:34 2015  multiply complete, coefficients have about 35.31 million bits
Fri Mar  6 13:19:34 2015  initial square root is modulo 117571
Fri Mar  6 13:20:04 2015  sqrtTime: 67
--
n: 173811370132609801242574074551322727013642077178915329365977748067227284960782101717235285050845744710115157237732961237410557212937621090082673045337420911
m: 1000000000000000000000000000000000
deg: 5
c5: 100
c0: 629
skew: 1.44
# Murphy_E = 2.494e-10
type: snfs
lss: 1
rlim: 4300000
alim: 4300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62650300Serge BatalovDecember 10, 2014 19:47:14 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 14 秒 (日本時間)
2350Ignacio SantosFebruary 21, 2015 20:28:30 UTC 2015 年 2 月 22 日 (日) 5 時 28 分 30 秒 (日本時間)

10168+6299

c146

name 名前Cyp
date 日付March 19, 2015 13:17:29 UTC 2015 年 3 月 19 日 (木) 22 時 17 分 29 秒 (日本時間)
composite number 合成数
73624533439057465298949895212767445681420750864856279302900098669509062457735528426410551709849560911773711226042966434414166755045754030472321801<146>
prime factors 素因数
152418918485179729365993198821499572426152523772224517466702274297<66>
483040649879799917733933106270125288810064875720688379317660069904280551871910033<81>
factorization results 素因数分解の結果
03/19/15 08:19:52 v1.34.3, 
03/19/15 08:19:52 v1.34.3, ****************************
03/19/15 08:19:52 v1.34.3, Starting factorization of 73624533439057465298949895212767445681420750864856279302900098669509062457735528426410551709849560911773711226042966434414166755045754030472321801
03/19/15 08:19:52 v1.34.3, using pretesting plan: none
03/19/15 08:19:52 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
03/19/15 08:19:52 v1.34.3, ****************************
03/19/15 08:19:52 v1.34.3, nfs: commencing nfs on c146: 73624533439057465298949895212767445681420750864856279302900098669509062457735528426410551709849560911773711226042966434414166755045754030472321801
03/19/15 08:19:52 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
03/19/15 08:19:52 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/19/15 08:24:23 v1.34.3, nfs: commencing lattice sieving with 8 threads
[63 lines snipped]
03/19/15 13:21:55 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/19/15 13:26:44 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/19/15 13:31:26 v1.34.3, nfs: commencing msieve filtering
03/19/15 13:33:01 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/19/15 13:37:44 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/19/15 13:42:24 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/19/15 13:47:14 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/19/15 13:51:52 v1.34.3, nfs: commencing msieve filtering
03/19/15 13:54:10 v1.34.3, nfs: commencing msieve linear algebra
03/19/15 14:16:01 v1.34.3, nfs: commencing msieve sqrt
03/19/15 14:17:27 v1.34.3, prp66 = 152418918485179729365993198821499572426152523772224517466702274297
03/19/15 14:17:27 v1.34.3, prp81 = 483040649879799917733933106270125288810064875720688379317660069904280551871910033
03/19/15 14:17:27 v1.34.3, NFS elapsed time = 21454.9007 seconds.
03/19/15 14:17:27 v1.34.3, 
03/19/15 14:17:27 v1.34.3, 
03/19/15 14:17:27 v1.34.3, Total factoring time = 21454.9015 seconds
--
Thu Mar 19 13:31:26 2015  
Thu Mar 19 13:31:26 2015  commencing relation filtering
Thu Mar 19 13:31:26 2015  estimated available RAM is 15987.3 MB
Thu Mar 19 13:31:26 2015  commencing duplicate removal, pass 1
Thu Mar 19 13:31:54 2015  found 1389385 hash collisions in 10094798 relations
Thu Mar 19 13:32:04 2015  added 371066 free relations
Thu Mar 19 13:32:04 2015  commencing duplicate removal, pass 2
Thu Mar 19 13:32:12 2015  found 957945 duplicates and 9507919 unique relations
Thu Mar 19 13:32:12 2015  memory use: 41.3 MB
Thu Mar 19 13:32:12 2015  reading ideals above 100000
Thu Mar 19 13:32:12 2015  commencing singleton removal, initial pass
Thu Mar 19 13:32:55 2015  memory use: 344.5 MB
Thu Mar 19 13:32:55 2015  reading all ideals from disk
Thu Mar 19 13:32:55 2015  memory use: 344.4 MB
Thu Mar 19 13:32:56 2015  keeping 10811807 ideals with weight <= 200, target excess is 49619
Thu Mar 19 13:32:56 2015  commencing in-memory singleton removal
Thu Mar 19 13:32:57 2015  begin with 9507919 relations and 10811807 unique ideals
Thu Mar 19 13:33:01 2015  reduce to 3454369 relations and 3448705 ideals in 21 passes
Thu Mar 19 13:33:01 2015  max relations containing the same ideal: 105
Thu Mar 19 13:51:52 2015  
Thu Mar 19 13:51:52 2015  commencing relation filtering
Thu Mar 19 13:51:52 2015  estimated available RAM is 15987.3 MB
Thu Mar 19 13:51:52 2015  commencing duplicate removal, pass 1
Thu Mar 19 13:52:26 2015  found 1561900 hash collisions in 11027195 relations
Thu Mar 19 13:52:37 2015  added 1213 free relations
Thu Mar 19 13:52:37 2015  commencing duplicate removal, pass 2
Thu Mar 19 13:52:46 2015  found 1051096 duplicates and 9977312 unique relations
Thu Mar 19 13:52:46 2015  memory use: 41.3 MB
Thu Mar 19 13:52:46 2015  reading ideals above 100000
Thu Mar 19 13:52:46 2015  commencing singleton removal, initial pass
Thu Mar 19 13:53:31 2015  memory use: 344.5 MB
Thu Mar 19 13:53:31 2015  reading all ideals from disk
Thu Mar 19 13:53:31 2015  memory use: 361.6 MB
Thu Mar 19 13:53:32 2015  keeping 10997541 ideals with weight <= 200, target excess is 52317
Thu Mar 19 13:53:33 2015  commencing in-memory singleton removal
Thu Mar 19 13:53:34 2015  begin with 9977312 relations and 10997541 unique ideals
Thu Mar 19 13:53:39 2015  reduce to 4096900 relations and 3911176 ideals in 18 passes
Thu Mar 19 13:53:39 2015  max relations containing the same ideal: 112
Thu Mar 19 13:53:40 2015  removing 541399 relations and 478882 ideals in 62518 cliques
Thu Mar 19 13:53:40 2015  commencing in-memory singleton removal
Thu Mar 19 13:53:40 2015  begin with 3555501 relations and 3911176 unique ideals
Thu Mar 19 13:53:42 2015  reduce to 3491996 relations and 3367441 ideals in 9 passes
Thu Mar 19 13:53:42 2015  max relations containing the same ideal: 98
Thu Mar 19 13:53:43 2015  removing 408587 relations and 346069 ideals in 62518 cliques
Thu Mar 19 13:53:43 2015  commencing in-memory singleton removal
Thu Mar 19 13:53:43 2015  begin with 3083409 relations and 3367441 unique ideals
Thu Mar 19 13:53:44 2015  reduce to 3041258 relations and 2978412 ideals in 8 passes
Thu Mar 19 13:53:44 2015  max relations containing the same ideal: 89
Thu Mar 19 13:53:45 2015  relations with 0 large ideals: 1245
Thu Mar 19 13:53:45 2015  relations with 1 large ideals: 274
Thu Mar 19 13:53:45 2015  relations with 2 large ideals: 5152
Thu Mar 19 13:53:45 2015  relations with 3 large ideals: 44613
Thu Mar 19 13:53:45 2015  relations with 4 large ideals: 206970
Thu Mar 19 13:53:45 2015  relations with 5 large ideals: 547109
Thu Mar 19 13:53:45 2015  relations with 6 large ideals: 885016
Thu Mar 19 13:53:45 2015  relations with 7+ large ideals: 1350879
Thu Mar 19 13:53:45 2015  commencing 2-way merge
Thu Mar 19 13:53:46 2015  reduce to 1774717 relation sets and 1711871 unique ideals
Thu Mar 19 13:53:46 2015  commencing full merge
Thu Mar 19 13:54:03 2015  memory use: 209.2 MB
Thu Mar 19 13:54:03 2015  found 888743 cycles, need 880071
Thu Mar 19 13:54:03 2015  weight of 880071 cycles is about 61774003 (70.19/cycle)
Thu Mar 19 13:54:03 2015  distribution of cycle lengths:
Thu Mar 19 13:54:03 2015  1 relations: 114239
Thu Mar 19 13:54:03 2015  2 relations: 102498
Thu Mar 19 13:54:03 2015  3 relations: 98135
Thu Mar 19 13:54:03 2015  4 relations: 87829
Thu Mar 19 13:54:03 2015  5 relations: 79517
Thu Mar 19 13:54:03 2015  6 relations: 67332
Thu Mar 19 13:54:03 2015  7 relations: 60064
Thu Mar 19 13:54:03 2015  8 relations: 51040
Thu Mar 19 13:54:03 2015  9 relations: 43157
Thu Mar 19 13:54:03 2015  10+ relations: 176260
Thu Mar 19 13:54:03 2015  heaviest cycle: 24 relations
Thu Mar 19 13:54:03 2015  commencing cycle optimization
Thu Mar 19 13:54:04 2015  start with 5276535 relations
Thu Mar 19 13:54:09 2015  pruned 112997 relations
Thu Mar 19 13:54:09 2015  memory use: 176.0 MB
Thu Mar 19 13:54:09 2015  distribution of cycle lengths:
Thu Mar 19 13:54:09 2015  1 relations: 114239
Thu Mar 19 13:54:09 2015  2 relations: 104550
Thu Mar 19 13:54:09 2015  3 relations: 100994
Thu Mar 19 13:54:09 2015  4 relations: 89569
Thu Mar 19 13:54:09 2015  5 relations: 81270
Thu Mar 19 13:54:09 2015  6 relations: 68031
Thu Mar 19 13:54:09 2015  7 relations: 60567
Thu Mar 19 13:54:09 2015  8 relations: 51129
Thu Mar 19 13:54:09 2015  9 relations: 42894
Thu Mar 19 13:54:09 2015  10+ relations: 166828
Thu Mar 19 13:54:09 2015  heaviest cycle: 24 relations
Thu Mar 19 13:54:10 2015  RelProcTime: 138
Thu Mar 19 13:54:10 2015  
Thu Mar 19 13:54:10 2015  commencing linear algebra
Thu Mar 19 13:54:10 2015  read 880071 cycles
Thu Mar 19 13:54:11 2015  cycles contain 2959969 unique relations
Thu Mar 19 13:54:24 2015  read 2959969 relations
Thu Mar 19 13:54:26 2015  using 20 quadratic characters above 134217438
Thu Mar 19 13:54:36 2015  building initial matrix
Thu Mar 19 13:54:52 2015  memory use: 365.3 MB
Thu Mar 19 13:54:52 2015  read 880071 cycles
Thu Mar 19 13:54:53 2015  matrix is 879894 x 880071 (264.1 MB) with weight 78896894 (89.65/col)
Thu Mar 19 13:54:53 2015  sparse part has weight 59558813 (67.68/col)
Thu Mar 19 13:54:56 2015  filtering completed in 2 passes
Thu Mar 19 13:54:57 2015  matrix is 878694 x 878871 (264.0 MB) with weight 78855707 (89.72/col)
Thu Mar 19 13:54:57 2015  sparse part has weight 59544668 (67.75/col)
Thu Mar 19 13:54:59 2015  matrix starts at (0, 0)
Thu Mar 19 13:54:59 2015  matrix is 878694 x 878871 (264.0 MB) with weight 78855707 (89.72/col)
Thu Mar 19 13:54:59 2015  sparse part has weight 59544668 (67.75/col)
Thu Mar 19 13:54:59 2015  saving the first 48 matrix rows for later
Thu Mar 19 13:54:59 2015  matrix includes 64 packed rows
Thu Mar 19 13:54:59 2015  matrix is 878646 x 878871 (250.4 MB) with weight 62387560 (70.99/col)
Thu Mar 19 13:54:59 2015  sparse part has weight 56859438 (64.70/col)
Thu Mar 19 13:54:59 2015  using block size 65536 for processor cache size 8192 kB
Thu Mar 19 13:55:01 2015  commencing Lanczos iteration (8 threads)
Thu Mar 19 13:55:01 2015  memory use: 244.1 MB
Thu Mar 19 13:55:05 2015  linear algebra at 0.3%, ETA 0h19m
Thu Mar 19 14:16:00 2015  lanczos halted after 13896 iterations (dim = 878644)
Thu Mar 19 14:16:01 2015  recovered 36 nontrivial dependencies
Thu Mar 19 14:16:01 2015  BLanczosTime: 1311
Thu Mar 19 14:16:01 2015  
Thu Mar 19 14:16:01 2015  commencing square root phase
Thu Mar 19 14:16:01 2015  reading relations for dependency 1
Thu Mar 19 14:16:01 2015  read 438627 cycles
Thu Mar 19 14:16:01 2015  cycles contain 1477066 unique relations
Thu Mar 19 14:16:11 2015  read 1477066 relations
Thu Mar 19 14:16:15 2015  multiplying 1477066 relations
Thu Mar 19 14:16:46 2015  multiply complete, coefficients have about 46.72 million bits
Thu Mar 19 14:16:46 2015  initial square root is modulo 5106601
Thu Mar 19 14:17:27 2015  sqrtTime: 86
--
n: 73624533439057465298949895212767445681420750864856279302900098669509062457735528426410551709849560911773711226042966434414166755045754030472321801
m: 1000000000000000000000000000000000
deg: 5
c5: 1000
c0: 629
skew: 0.91
# Murphy_E = 2.147e-10
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62650300Serge BatalovDecember 10, 2014 19:47:14 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 14 秒 (日本時間)
2350Ignacio SantosFebruary 19, 2015 19:33:01 UTC 2015 年 2 月 20 日 (金) 4 時 33 分 1 秒 (日本時間)

10169+6299

c164

name 名前Cyp
date 日付March 26, 2015 13:39:57 UTC 2015 年 3 月 26 日 (木) 22 時 39 分 57 秒 (日本時間)
composite number 合成数
45037133116254351712987358076734267403474164448587860691139844802039281387503997045564067573714527628029310166232058332094812172636338661226180986223140979737793811<164>
prime factors 素因数
847279218269693630582338661945195466613157<42>
53155007399129651240761351600250401558070797696866231727658233426030291913553246232923662458113750991553745402439819521623<122>
factorization results 素因数分解の結果
03/26/15 07:38:12 v1.34.3, 
03/26/15 07:38:12 v1.34.3, ****************************
03/26/15 07:38:12 v1.34.3, Starting factorization of 45037133116254351712987358076734267403474164448587860691139844802039281387503997045564067573714527628029310166232058332094812172636338661226180986223140979737793811
03/26/15 07:38:12 v1.34.3, using pretesting plan: none
03/26/15 07:38:12 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
03/26/15 07:38:12 v1.34.3, ****************************
03/26/15 07:38:12 v1.34.3, nfs: commencing nfs on c164: 45037133116254351712987358076734267403474164448587860691139844802039281387503997045564067573714527628029310166232058332094812172636338661226180986223140979737793811
03/26/15 07:38:12 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
03/26/15 07:38:12 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/26/15 07:42:58 v1.34.3, nfs: commencing lattice sieving with 8 threads
[68 lines snipped]
03/26/15 13:18:42 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/26/15 13:23:32 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/26/15 13:28:24 v1.34.3, nfs: commencing msieve filtering
03/26/15 13:30:02 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/26/15 13:34:55 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/26/15 13:39:48 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/26/15 13:44:34 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/26/15 13:49:26 v1.34.3, nfs: commencing msieve filtering
03/26/15 13:51:46 v1.34.3, nfs: commencing msieve linear algebra
03/26/15 14:32:11 v1.34.3, nfs: commencing msieve sqrt
03/26/15 14:39:56 v1.34.3, prp42 = 847279218269693630582338661945195466613157
03/26/15 14:39:56 v1.34.3, prp122 = 53155007399129651240761351600250401558070797696866231727658233426030291913553246232923662458113750991553745402439819521623
03/26/15 14:39:56 v1.34.3, NFS elapsed time = 25303.6660 seconds.
03/26/15 14:39:56 v1.34.3, 
03/26/15 14:39:56 v1.34.3, 
03/26/15 14:39:56 v1.34.3, Total factoring time = 25303.6673 seconds
--
Thu Mar 26 13:28:24 2015  
Thu Mar 26 13:28:24 2015  commencing relation filtering
Thu Mar 26 13:28:24 2015  estimated available RAM is 15987.3 MB
Thu Mar 26 13:28:24 2015  commencing duplicate removal, pass 1
Thu Mar 26 13:28:53 2015  found 1398092 hash collisions in 10095350 relations
Thu Mar 26 13:29:03 2015  added 370784 free relations
Thu Mar 26 13:29:03 2015  commencing duplicate removal, pass 2
Thu Mar 26 13:29:13 2015  found 969663 duplicates and 9496471 unique relations
Thu Mar 26 13:29:13 2015  memory use: 41.3 MB
Thu Mar 26 13:29:13 2015  reading ideals above 100000
Thu Mar 26 13:29:13 2015  commencing singleton removal, initial pass
Thu Mar 26 13:29:56 2015  memory use: 344.5 MB
Thu Mar 26 13:29:56 2015  reading all ideals from disk
Thu Mar 26 13:29:56 2015  memory use: 345.8 MB
Thu Mar 26 13:29:57 2015  keeping 10865797 ideals with weight <= 200, target excess is 49495
Thu Mar 26 13:29:57 2015  commencing in-memory singleton removal
Thu Mar 26 13:29:58 2015  begin with 9496471 relations and 10865797 unique ideals
Thu Mar 26 13:30:02 2015  reduce to 3379344 relations and 3430303 ideals in 22 passes
Thu Mar 26 13:30:02 2015  max relations containing the same ideal: 104
Thu Mar 26 13:49:26 2015  
Thu Mar 26 13:49:26 2015  commencing relation filtering
Thu Mar 26 13:49:26 2015  estimated available RAM is 15987.3 MB
Thu Mar 26 13:49:26 2015  commencing duplicate removal, pass 1
Thu Mar 26 13:50:00 2015  found 1561352 hash collisions in 10985421 relations
Thu Mar 26 13:50:09 2015  added 1208 free relations
Thu Mar 26 13:50:09 2015  commencing duplicate removal, pass 2
Thu Mar 26 13:50:18 2015  found 1057398 duplicates and 9929231 unique relations
Thu Mar 26 13:50:18 2015  memory use: 41.3 MB
Thu Mar 26 13:50:18 2015  reading ideals above 100000
Thu Mar 26 13:50:18 2015  commencing singleton removal, initial pass
Thu Mar 26 13:51:03 2015  memory use: 344.5 MB
Thu Mar 26 13:51:03 2015  reading all ideals from disk
Thu Mar 26 13:51:03 2015  memory use: 361.8 MB
Thu Mar 26 13:51:03 2015  keeping 11036538 ideals with weight <= 200, target excess is 51884
Thu Mar 26 13:51:04 2015  commencing in-memory singleton removal
Thu Mar 26 13:51:04 2015  begin with 9929231 relations and 11036538 unique ideals
Thu Mar 26 13:51:11 2015  reduce to 3989061 relations and 3876638 ideals in 17 passes
Thu Mar 26 13:51:11 2015  max relations containing the same ideal: 114
Thu Mar 26 13:51:12 2015  removing 314477 relations and 288359 ideals in 26119 cliques
Thu Mar 26 13:51:12 2015  commencing in-memory singleton removal
Thu Mar 26 13:51:12 2015  begin with 3674584 relations and 3876638 unique ideals
Thu Mar 26 13:51:14 2015  reduce to 3652361 relations and 3565822 ideals in 10 passes
Thu Mar 26 13:51:14 2015  max relations containing the same ideal: 105
Thu Mar 26 13:51:14 2015  removing 228016 relations and 201897 ideals in 26119 cliques
Thu Mar 26 13:51:15 2015  commencing in-memory singleton removal
Thu Mar 26 13:51:15 2015  begin with 3424345 relations and 3565822 unique ideals
Thu Mar 26 13:51:16 2015  reduce to 3411312 relations and 3350796 ideals in 9 passes
Thu Mar 26 13:51:16 2015  max relations containing the same ideal: 99
Thu Mar 26 13:51:17 2015  relations with 0 large ideals: 1231
Thu Mar 26 13:51:17 2015  relations with 1 large ideals: 251
Thu Mar 26 13:51:17 2015  relations with 2 large ideals: 4679
Thu Mar 26 13:51:17 2015  relations with 3 large ideals: 41758
Thu Mar 26 13:51:17 2015  relations with 4 large ideals: 201843
Thu Mar 26 13:51:17 2015  relations with 5 large ideals: 564408
Thu Mar 26 13:51:17 2015  relations with 6 large ideals: 975216
Thu Mar 26 13:51:17 2015  relations with 7+ large ideals: 1621926
Thu Mar 26 13:51:17 2015  commencing 2-way merge
Thu Mar 26 13:51:19 2015  reduce to 1975903 relation sets and 1915388 unique ideals
Thu Mar 26 13:51:19 2015  ignored 1 oversize relation sets
Thu Mar 26 13:51:19 2015  commencing full merge
Thu Mar 26 13:51:39 2015  memory use: 231.4 MB
Thu Mar 26 13:51:39 2015  found 992014 cycles, need 985588
Thu Mar 26 13:51:39 2015  weight of 985588 cycles is about 69092882 (70.10/cycle)
Thu Mar 26 13:51:39 2015  distribution of cycle lengths:
Thu Mar 26 13:51:39 2015  1 relations: 131957
Thu Mar 26 13:51:39 2015  2 relations: 120170
Thu Mar 26 13:51:39 2015  3 relations: 115741
Thu Mar 26 13:51:39 2015  4 relations: 101713
Thu Mar 26 13:51:39 2015  5 relations: 89552
Thu Mar 26 13:51:39 2015  6 relations: 74270
Thu Mar 26 13:51:39 2015  7 relations: 63986
Thu Mar 26 13:51:39 2015  8 relations: 53024
Thu Mar 26 13:51:39 2015  9 relations: 43980
Thu Mar 26 13:51:39 2015  10+ relations: 191195
Thu Mar 26 13:51:39 2015  heaviest cycle: 25 relations
Thu Mar 26 13:51:39 2015  commencing cycle optimization
Thu Mar 26 13:51:40 2015  start with 5863711 relations
Thu Mar 26 13:51:45 2015  pruned 120609 relations
Thu Mar 26 13:51:45 2015  memory use: 197.4 MB
Thu Mar 26 13:51:45 2015  distribution of cycle lengths:
Thu Mar 26 13:51:45 2015  1 relations: 131957
Thu Mar 26 13:51:45 2015  2 relations: 122664
Thu Mar 26 13:51:45 2015  3 relations: 119214
Thu Mar 26 13:51:45 2015  4 relations: 103587
Thu Mar 26 13:51:45 2015  5 relations: 91084
Thu Mar 26 13:51:45 2015  6 relations: 74825
Thu Mar 26 13:51:45 2015  7 relations: 64111
Thu Mar 26 13:51:45 2015  8 relations: 52665
Thu Mar 26 13:51:45 2015  9 relations: 43450
Thu Mar 26 13:51:45 2015  10+ relations: 182031
Thu Mar 26 13:51:45 2015  heaviest cycle: 25 relations
Thu Mar 26 13:51:46 2015  RelProcTime: 140
Thu Mar 26 13:51:46 2015  
Thu Mar 26 13:51:46 2015  commencing linear algebra
Thu Mar 26 13:51:46 2015  read 985588 cycles
Thu Mar 26 13:51:47 2015  cycles contain 3338438 unique relations
Thu Mar 26 13:52:02 2015  read 3338438 relations
Thu Mar 26 13:52:04 2015  using 20 quadratic characters above 134216838
Thu Mar 26 13:52:16 2015  building initial matrix
Thu Mar 26 13:52:34 2015  memory use: 400.7 MB
Thu Mar 26 13:52:34 2015  read 985588 cycles
Thu Mar 26 13:52:34 2015  matrix is 985416 x 985588 (296.1 MB) with weight 86827823 (88.10/col)
Thu Mar 26 13:52:34 2015  sparse part has weight 66766749 (67.74/col)
Thu Mar 26 13:52:39 2015  filtering completed in 2 passes
Thu Mar 26 13:52:39 2015  matrix is 984184 x 984360 (296.0 MB) with weight 86789051 (88.17/col)
Thu Mar 26 13:52:39 2015  sparse part has weight 66754157 (67.81/col)
Thu Mar 26 13:52:42 2015  matrix starts at (0, 0)
Thu Mar 26 13:52:42 2015  matrix is 984184 x 984360 (296.0 MB) with weight 86789051 (88.17/col)
Thu Mar 26 13:52:42 2015  sparse part has weight 66754157 (67.81/col)
Thu Mar 26 13:52:42 2015  saving the first 48 matrix rows for later
Thu Mar 26 13:52:42 2015  matrix includes 64 packed rows
Thu Mar 26 13:52:42 2015  matrix is 984136 x 984360 (280.0 MB) with weight 69044090 (70.14/col)
Thu Mar 26 13:52:42 2015  sparse part has weight 63549083 (64.56/col)
Thu Mar 26 13:52:42 2015  using block size 65536 for processor cache size 8192 kB
Thu Mar 26 13:52:44 2015  commencing Lanczos iteration (8 threads)
Thu Mar 26 13:52:44 2015  memory use: 273.5 MB
Thu Mar 26 13:52:52 2015  linear algebra at 0.3%, ETA 0h43m
Thu Mar 26 14:32:10 2015  lanczos halted after 15565 iterations (dim = 984134)
Thu Mar 26 14:32:11 2015  recovered 37 nontrivial dependencies
Thu Mar 26 14:32:11 2015  BLanczosTime: 2425
Thu Mar 26 14:32:11 2015  
Thu Mar 26 14:32:11 2015  commencing square root phase
Thu Mar 26 14:32:11 2015  reading relations for dependency 1
Thu Mar 26 14:32:11 2015  read 491235 cycles
Thu Mar 26 14:32:12 2015  cycles contain 1664908 unique relations
Thu Mar 26 14:32:22 2015  read 1664908 relations
Thu Mar 26 14:32:26 2015  multiplying 1664908 relations
Thu Mar 26 14:32:59 2015  multiply complete, coefficients have about 44.21 million bits
Thu Mar 26 14:33:00 2015  initial square root is modulo 2222501
Thu Mar 26 14:33:45 2015  GCD is N, no factor found
Thu Mar 26 14:33:45 2015  reading relations for dependency 2
Thu Mar 26 14:33:45 2015  read 492454 cycles
Thu Mar 26 14:33:45 2015  cycles contain 1672306 unique relations
Thu Mar 26 14:33:56 2015  read 1672306 relations
Thu Mar 26 14:34:00 2015  multiplying 1672306 relations
Thu Mar 26 14:34:37 2015  multiply complete, coefficients have about 44.40 million bits
Thu Mar 26 14:34:37 2015  initial square root is modulo 2370391
Thu Mar 26 14:35:21 2015  GCD is 1, no factor found
Thu Mar 26 14:35:21 2015  reading relations for dependency 3
Thu Mar 26 14:35:21 2015  read 491825 cycles
Thu Mar 26 14:35:22 2015  cycles contain 1666628 unique relations
Thu Mar 26 14:35:32 2015  read 1666628 relations
Thu Mar 26 14:35:36 2015  multiplying 1666628 relations
Thu Mar 26 14:36:10 2015  multiply complete, coefficients have about 44.25 million bits
Thu Mar 26 14:36:10 2015  initial square root is modulo 2255731
Thu Mar 26 14:36:51 2015  GCD is N, no factor found
Thu Mar 26 14:36:51 2015  reading relations for dependency 4
Thu Mar 26 14:36:51 2015  read 492744 cycles
Thu Mar 26 14:36:52 2015  cycles contain 1670676 unique relations
Thu Mar 26 14:37:03 2015  read 1670676 relations
Thu Mar 26 14:37:07 2015  multiplying 1670676 relations
Thu Mar 26 14:37:43 2015  multiply complete, coefficients have about 44.36 million bits
Thu Mar 26 14:37:43 2015  initial square root is modulo 2337481
Thu Mar 26 14:38:24 2015  GCD is 1, no factor found
Thu Mar 26 14:38:24 2015  reading relations for dependency 5
Thu Mar 26 14:38:24 2015  read 492269 cycles
Thu Mar 26 14:38:25 2015  cycles contain 1668638 unique relations
Thu Mar 26 14:38:36 2015  read 1668638 relations
Thu Mar 26 14:38:40 2015  multiplying 1668638 relations
Thu Mar 26 14:39:14 2015  multiply complete, coefficients have about 44.31 million bits
Thu Mar 26 14:39:14 2015  initial square root is modulo 2297591
Thu Mar 26 14:39:56 2015  sqrtTime: 465
--
n: 45037133116254351712987358076734267403474164448587860691139844802039281387503997045564067573714527628029310166232058332094812172636338661226180986223140979737793811
m: 5000000000000000000000000000000000
deg: 5
c5: 16
c0: 3145
skew: 2.88
# Murphy_E = 1.922e-10
type: snfs
lss: 1
rlim: 4700000
alim: 4700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62650300Serge BatalovDecember 10, 2014 19:47:15 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 15 秒 (日本時間)
2350Ignacio SantosFebruary 18, 2015 17:42:28 UTC 2015 年 2 月 19 日 (木) 2 時 42 分 28 秒 (日本時間)

10171+6299

c130

name 名前Ignacio Santos
date 日付February 10, 2015 16:06:24 UTC 2015 年 2 月 11 日 (水) 1 時 6 分 24 秒 (日本時間)
composite number 合成数
3018363092722579368134763896930500300489107440394373154300417765720642886788806343270996584854445906333632770250407572352167825669<130>
prime factors 素因数
261680118354014059639033975754570581<36>
11534552612205660851038801281604469679219595256508233887773963658504680881796730233915438571249<95>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1864946911
Step 1 took 7469ms
Step 2 took 5890ms
********** Factor found in step 2: 261680118354014059639033975754570581
Found probable prime factor of 36 digits: 261680118354014059639033975754570581
Probable prime cofactor 11534552612205660851038801281604469679219595256508233887773963658504680881796730233915438571249 has 95 digits
software ソフトウェア
GMP-ECM 7.0

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280 / 2318CypDecember 7, 2014 23:19:30 UTC 2014 年 12 月 8 日 (月) 8 時 19 分 30 秒 (日本時間)

10172+6299

c149

name 名前Alfred Reich
date 日付February 15, 2015 14:51:30 UTC 2015 年 2 月 15 日 (日) 23 時 51 分 30 秒 (日本時間)
composite number 合成数
17497649964039333280496532214637078576508412278224369426923098887400678582232447368442081398145297910208055745707187186146162850472331219808479029593<149>
prime factors 素因数
17135202504795187682486805638008319<35>
1021152213353925450549980388798331839193541406989238066314221682093699147347029997536998805546285576143081868769447<115>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with MPIR 2.6.0] [ECM]
Input number is 17497649964039333280496532214637078576508412278224369426923098887400678582232447368442081398145297910208055745707187186146162850472331219808479029593 (149 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2190601197
Step 1 took 8892ms
Step 2 took 6552ms
********** Factor found in step 2: 17135202504795187682486805638008319
Found probable prime factor of 35 digits: 17135202504795187682486805638008319
Probable prime cofactor 1021152213353925450549980388798331839193541406989238066314221682093699147347029997536998805546285576143081868769447 has 115 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:47:15 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 15 秒 (日本時間)

10175+6299

c162

name 名前Cyp
date 日付May 6, 2015 18:22:17 UTC 2015 年 5 月 7 日 (木) 3 時 22 分 17 秒 (日本時間)
composite number 合成数
119901326822712921951354623152584536137278371954885975602283095318707713971050248580179942913256439676551881219146571896363167143563594724800058106573196848733541<162>
prime factors 素因数
4235817255935648988772471446965390669200767972468285160268144223953563<70>
28306539111123182120467518854865626189977976010387416835417158978699315542113934440718942207<92>
factorization results 素因数分解の結果
05/05/15 12:50:55 v1.34.3, 
05/05/15 12:50:55 v1.34.3, ****************************
05/05/15 12:50:55 v1.34.3, Starting factorization of 119901326822712921951354623152584536137278371954885975602283095318707713971050248580179942913256439676551881219146571896363167143563594724800058106573196848733541
05/05/15 12:50:55 v1.34.3, using pretesting plan: none
05/05/15 12:50:55 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
05/05/15 12:50:55 v1.34.3, ****************************
05/05/15 12:50:55 v1.34.3, nfs: commencing nfs on c162: 119901326822712921951354623152584536137278371954885975602283095318707713971050248580179942913256439676551881219146571896363167143563594724800058106573196848733541
05/05/15 12:50:55 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
05/05/15 12:50:55 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/05/15 12:56:00 v1.34.3, nfs: commencing lattice sieving with 8 threads
[127 lines snipped]
05/06/15 00:00:44 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/06/15 00:05:43 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/06/15 00:10:51 v1.34.3, nfs: commencing msieve filtering
05/06/15 00:14:37 v1.34.3, nfs: commencing msieve linear algebra
05/06/15 18:37:19 v1.34.3, 
05/06/15 18:37:19 v1.34.3, ****************************
05/06/15 18:37:19 v1.34.3, Starting factorization of 119901326822712921951354623152584536137278371954885975602283095318707713971050248580179942913256439676551881219146571896363167143563594724800058106573196848733541
05/06/15 18:37:19 v1.34.3, using pretesting plan: none
05/06/15 18:37:19 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
05/06/15 18:37:19 v1.34.3, ****************************
05/06/15 18:37:19 v1.34.3, nfs: commencing nfs on c162: 119901326822712921951354623152584536137278371954885975602283095318707713971050248580179942913256439676551881219146571896363167143563594724800058106573196848733541
05/06/15 18:37:19 v1.34.3, nfs: resuming with sieving at user specified special-q 8139917
05/06/15 18:37:19 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/06/15 19:24:06 v1.34.3, c162 cofactor = 119901326822712921951354623152584536137278371954885975602283095318707713971050248580179942913256439676551881219146571896363167143563594724800058106573196848733541
05/06/15 19:24:06 v1.34.3, Total factoring time = 2807.3909 seconds
05/06/15 19:40:21 v1.34.3, 
05/06/15 19:40:21 v1.34.3, ****************************
05/06/15 19:40:21 v1.34.3, Starting factorization of 119901326822712921951354623152584536137278371954885975602283095318707713971050248580179942913256439676551881219146571896363167143563594724800058106573196848733541
05/06/15 19:40:21 v1.34.3, using pretesting plan: none
05/06/15 19:40:21 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
05/06/15 19:40:21 v1.34.3, ****************************
05/06/15 19:40:21 v1.34.3, nfs: previous data file found - commencing search for last special-q
05/06/15 19:40:38 v1.34.3, nfs: parsing special-q from .dat file
05/06/15 19:40:38 v1.34.3, nfs: commencing nfs on c162: 119901326822712921951354623152584536137278371954885975602283095318707713971050248580179942913256439676551881219146571896363167143563594724800058106573196848733541
05/06/15 19:40:38 v1.34.3, nfs: resuming with filtering
05/06/15 19:40:38 v1.34.3, nfs: commencing msieve filtering
05/06/15 19:44:54 v1.34.3, nfs: commencing msieve linear algebra
05/06/15 20:18:17 v1.34.3, nfs: commencing msieve sqrt
05/06/15 20:22:16 v1.34.3, prp92 = 28306539111123182120467518854865626189977976010387416835417158978699315542113934440718942207
05/06/15 20:22:16 v1.34.3, prp70 = 4235817255935648988772471446965390669200767972468285160268144223953563
05/06/15 20:22:16 v1.34.3, NFS elapsed time = 2515.4981 seconds.
05/06/15 20:22:16 v1.34.3, 
05/06/15 20:22:16 v1.34.3, 
05/06/15 20:22:16 v1.34.3, Total factoring time = 2515.4990 seconds
--
Wed May  6 00:10:51 2015  
Wed May  6 00:10:51 2015  commencing relation filtering
Wed May  6 00:10:51 2015  estimated available RAM is 15987.3 MB
Wed May  6 00:10:51 2015  commencing duplicate removal, pass 1
Wed May  6 00:11:51 2015  found 3415001 hash collisions in 21157184 relations
Wed May  6 00:12:07 2015  added 692915 free relations
Wed May  6 00:12:07 2015  commencing duplicate removal, pass 2
Wed May  6 00:12:25 2015  found 2640171 duplicates and 19209928 unique relations
Wed May  6 00:12:25 2015  memory use: 90.6 MB
Wed May  6 00:12:25 2015  reading ideals above 720000
Wed May  6 00:12:25 2015  commencing singleton removal, initial pass
Wed May  6 00:13:46 2015  memory use: 376.5 MB
Wed May  6 00:13:46 2015  reading all ideals from disk
Wed May  6 00:13:46 2015  memory use: 576.8 MB
Wed May  6 00:13:47 2015  keeping 19095142 ideals with weight <= 200, target excess is 115797
Wed May  6 00:13:48 2015  commencing in-memory singleton removal
Wed May  6 00:13:48 2015  begin with 19209928 relations and 19095142 unique ideals
Wed May  6 00:13:55 2015  reduce to 9804015 relations and 7642267 ideals in 12 passes
Wed May  6 00:13:55 2015  max relations containing the same ideal: 131
Wed May  6 00:13:57 2015  removing 1543699 relations and 1143699 ideals in 400000 cliques
Wed May  6 00:13:58 2015  commencing in-memory singleton removal
Wed May  6 00:13:58 2015  begin with 8260316 relations and 7642267 unique ideals
Wed May  6 00:14:01 2015  reduce to 8075609 relations and 6304501 ideals in 7 passes
Wed May  6 00:14:01 2015  max relations containing the same ideal: 111
Wed May  6 00:14:03 2015  removing 1259069 relations and 859069 ideals in 400000 cliques
Wed May  6 00:14:03 2015  commencing in-memory singleton removal
Wed May  6 00:14:03 2015  begin with 6816540 relations and 6304501 unique ideals
Wed May  6 00:14:05 2015  reduce to 6683534 relations and 5305936 ideals in 7 passes
Wed May  6 00:14:05 2015  max relations containing the same ideal: 100
Wed May  6 00:14:07 2015  removing 1186685 relations and 786685 ideals in 400000 cliques
Wed May  6 00:14:07 2015  commencing in-memory singleton removal
Wed May  6 00:14:08 2015  begin with 5496849 relations and 5305936 unique ideals
Wed May  6 00:14:09 2015  reduce to 5366134 relations and 4381363 ideals in 8 passes
Wed May  6 00:14:09 2015  max relations containing the same ideal: 84
Wed May  6 00:14:11 2015  removing 1153602 relations and 753602 ideals in 400000 cliques
Wed May  6 00:14:11 2015  commencing in-memory singleton removal
Wed May  6 00:14:11 2015  begin with 4212532 relations and 4381363 unique ideals
Wed May  6 00:14:13 2015  reduce to 4066762 relations and 3472477 ideals in 7 passes
Wed May  6 00:14:13 2015  max relations containing the same ideal: 68
Wed May  6 00:14:14 2015  removing 1134295 relations and 734295 ideals in 400000 cliques
Wed May  6 00:14:14 2015  commencing in-memory singleton removal
Wed May  6 00:14:14 2015  begin with 2932467 relations and 3472477 unique ideals
Wed May  6 00:14:15 2015  reduce to 2754116 relations and 2544312 ideals in 8 passes
Wed May  6 00:14:15 2015  max relations containing the same ideal: 51
Wed May  6 00:14:16 2015  removing 296049 relations and 220570 ideals in 75479 cliques
Wed May  6 00:14:16 2015  commencing in-memory singleton removal
Wed May  6 00:14:16 2015  begin with 2458067 relations and 2544312 unique ideals
Wed May  6 00:14:16 2015  reduce to 2434055 relations and 2299132 ideals in 6 passes
Wed May  6 00:14:16 2015  max relations containing the same ideal: 48
Wed May  6 00:14:17 2015  relations with 0 large ideals: 2805
Wed May  6 00:14:17 2015  relations with 1 large ideals: 2272
Wed May  6 00:14:17 2015  relations with 2 large ideals: 31779
Wed May  6 00:14:17 2015  relations with 3 large ideals: 170715
Wed May  6 00:14:17 2015  relations with 4 large ideals: 460090
Wed May  6 00:14:17 2015  relations with 5 large ideals: 692649
Wed May  6 00:14:17 2015  relations with 6 large ideals: 633031
Wed May  6 00:14:17 2015  relations with 7+ large ideals: 440714
Wed May  6 00:14:17 2015  commencing 2-way merge
Wed May  6 00:14:18 2015  reduce to 1554792 relation sets and 1419869 unique ideals
Wed May  6 00:14:18 2015  commencing full merge
Wed May  6 00:14:31 2015  memory use: 180.1 MB
Wed May  6 00:14:32 2015  found 822864 cycles, need 804069
Wed May  6 00:14:32 2015  weight of 804069 cycles is about 56571520 (70.36/cycle)
Wed May  6 00:14:32 2015  distribution of cycle lengths:
Wed May  6 00:14:32 2015  1 relations: 60647
Wed May  6 00:14:32 2015  2 relations: 78327
Wed May  6 00:14:32 2015  3 relations: 89370
Wed May  6 00:14:32 2015  4 relations: 91695
Wed May  6 00:14:32 2015  5 relations: 89693
Wed May  6 00:14:32 2015  6 relations: 83659
Wed May  6 00:14:32 2015  7 relations: 74181
Wed May  6 00:14:32 2015  8 relations: 62479
Wed May  6 00:14:32 2015  9 relations: 50203
Wed May  6 00:14:32 2015  10+ relations: 123815
Wed May  6 00:14:32 2015  heaviest cycle: 18 relations
Wed May  6 00:14:32 2015  commencing cycle optimization
Wed May  6 00:14:33 2015  start with 4710627 relations
Wed May  6 00:14:37 2015  pruned 147707 relations
Wed May  6 00:14:37 2015  memory use: 148.5 MB
Wed May  6 00:14:37 2015  distribution of cycle lengths:
Wed May  6 00:14:37 2015  1 relations: 60647
Wed May  6 00:14:37 2015  2 relations: 80199
Wed May  6 00:14:37 2015  3 relations: 92866
Wed May  6 00:14:37 2015  4 relations: 95170
Wed May  6 00:14:37 2015  5 relations: 93494
Wed May  6 00:14:37 2015  6 relations: 86427
Wed May  6 00:14:37 2015  7 relations: 76241
Wed May  6 00:14:37 2015  8 relations: 63196
Wed May  6 00:14:37 2015  9 relations: 49626
Wed May  6 00:14:37 2015  10+ relations: 106203
Wed May  6 00:14:37 2015  heaviest cycle: 18 relations
Wed May  6 00:14:37 2015  RelProcTime: 226
Wed May  6 00:14:37 2015  
Wed May  6 00:14:37 2015  commencing linear algebra
Wed May  6 00:14:38 2015  read 804069 cycles
Wed May  6 00:14:38 2015  cycles contain 2361695 unique relations
Wed May  6 00:14:58 2015  read 2361695 relations
Wed May  6 00:14:59 2015  using 20 quadratic characters above 268411422
Wed May  6 00:15:07 2015  building initial matrix
Wed May  6 00:15:21 2015  memory use: 298.9 MB
Wed May  6 00:15:21 2015  read 804069 cycles
Wed May  6 00:15:21 2015  matrix is 804370 x 804069 (240.2 MB) with weight 71788369 (89.28/col)
Wed May  6 00:15:21 2015  sparse part has weight 54115359 (67.30/col)
Wed May  6 00:15:24 2015  filtering completed in 2 passes
Wed May  6 00:15:25 2015  matrix is 803857 x 803844 (240.1 MB) with weight 71775759 (89.29/col)
Wed May  6 00:15:25 2015  sparse part has weight 54107611 (67.31/col)
Wed May  6 00:15:27 2015  matrix starts at (0, 0)
Wed May  6 00:15:27 2015  matrix is 803857 x 803844 (240.1 MB) with weight 71775759 (89.29/col)
Wed May  6 00:15:27 2015  sparse part has weight 54107611 (67.31/col)
Wed May  6 00:15:27 2015  matrix needs more columns than rows; try adding 2-3% more relations
Wed May  6 19:40:38 2015  
Wed May  6 19:40:38 2015  commencing relation filtering
Wed May  6 19:40:38 2015  estimated available RAM is 15987.3 MB
Wed May  6 19:40:38 2015  commencing duplicate removal, pass 1
Wed May  6 19:41:53 2015  found 3841749 hash collisions in 23159042 relations
Wed May  6 19:42:08 2015  added 4384 free relations
Wed May  6 19:42:08 2015  commencing duplicate removal, pass 2
Wed May  6 19:42:27 2015  found 2925014 duplicates and 20238412 unique relations
Wed May  6 19:42:27 2015  memory use: 149.2 MB
Wed May  6 19:42:27 2015  reading ideals above 720000
Wed May  6 19:42:28 2015  commencing singleton removal, initial pass
Wed May  6 19:43:57 2015  memory use: 376.5 MB
Wed May  6 19:43:57 2015  reading all ideals from disk
Wed May  6 19:43:57 2015  memory use: 607.8 MB
Wed May  6 19:43:58 2015  keeping 19474004 ideals with weight <= 200, target excess is 116463
Wed May  6 19:43:59 2015  commencing in-memory singleton removal
Wed May  6 19:43:59 2015  begin with 20238412 relations and 19474004 unique ideals
Wed May  6 19:44:06 2015  reduce to 10909829 relations and 8205144 ideals in 12 passes
Wed May  6 19:44:06 2015  max relations containing the same ideal: 138
Wed May  6 19:44:09 2015  removing 1489348 relations and 1089348 ideals in 400000 cliques
Wed May  6 19:44:09 2015  commencing in-memory singleton removal
Wed May  6 19:44:10 2015  begin with 9420481 relations and 8205144 unique ideals
Wed May  6 19:44:13 2015  reduce to 9265750 relations and 6954051 ideals in 8 passes
Wed May  6 19:44:13 2015  max relations containing the same ideal: 123
Wed May  6 19:44:16 2015  removing 1216150 relations and 816150 ideals in 400000 cliques
Wed May  6 19:44:16 2015  commencing in-memory singleton removal
Wed May  6 19:44:16 2015  begin with 8049600 relations and 6954051 unique ideals
Wed May  6 19:44:18 2015  reduce to 7942834 relations and 6026676 ideals in 6 passes
Wed May  6 19:44:18 2015  max relations containing the same ideal: 110
Wed May  6 19:44:20 2015  removing 1145881 relations and 745881 ideals in 400000 cliques
Wed May  6 19:44:21 2015  commencing in-memory singleton removal
Wed May  6 19:44:21 2015  begin with 6796953 relations and 6026676 unique ideals
Wed May  6 19:44:23 2015  reduce to 6696970 relations and 5176331 ideals in 7 passes
Wed May  6 19:44:23 2015  max relations containing the same ideal: 102
Wed May  6 19:44:25 2015  removing 1112440 relations and 712440 ideals in 400000 cliques
Wed May  6 19:44:25 2015  commencing in-memory singleton removal
Wed May  6 19:44:25 2015  begin with 5584530 relations and 5176331 unique ideals
Wed May  6 19:44:27 2015  reduce to 5479552 relations and 4353448 ideals in 6 passes
Wed May  6 19:44:27 2015  max relations containing the same ideal: 87
Wed May  6 19:44:28 2015  removing 1094704 relations and 694704 ideals in 400000 cliques
Wed May  6 19:44:28 2015  commencing in-memory singleton removal
Wed May  6 19:44:28 2015  begin with 4384848 relations and 4353448 unique ideals
Wed May  6 19:44:30 2015  reduce to 4267040 relations and 3533751 ideals in 7 passes
Wed May  6 19:44:30 2015  max relations containing the same ideal: 73
Wed May  6 19:44:31 2015  removing 1082564 relations and 682564 ideals in 400000 cliques
Wed May  6 19:44:31 2015  commencing in-memory singleton removal
Wed May  6 19:44:31 2015  begin with 3184476 relations and 3533751 unique ideals
Wed May  6 19:44:32 2015  reduce to 3041523 relations and 2696936 ideals in 7 passes
Wed May  6 19:44:32 2015  max relations containing the same ideal: 56
Wed May  6 19:44:33 2015  removing 623761 relations and 414272 ideals in 209489 cliques
Wed May  6 19:44:33 2015  commencing in-memory singleton removal
Wed May  6 19:44:33 2015  begin with 2417762 relations and 2696936 unique ideals
Wed May  6 19:44:33 2015  reduce to 2337352 relations and 2197210 ideals in 7 passes
Wed May  6 19:44:33 2015  max relations containing the same ideal: 46
Wed May  6 19:44:34 2015  relations with 0 large ideals: 2805
Wed May  6 19:44:34 2015  relations with 1 large ideals: 2425
Wed May  6 19:44:34 2015  relations with 2 large ideals: 33653
Wed May  6 19:44:34 2015  relations with 3 large ideals: 176069
Wed May  6 19:44:34 2015  relations with 4 large ideals: 459600
Wed May  6 19:44:34 2015  relations with 5 large ideals: 667676
Wed May  6 19:44:34 2015  relations with 6 large ideals: 593531
Wed May  6 19:44:34 2015  relations with 7+ large ideals: 401593
Wed May  6 19:44:34 2015  commencing 2-way merge
Wed May  6 19:44:35 2015  reduce to 1530532 relation sets and 1390390 unique ideals
Wed May  6 19:44:35 2015  commencing full merge
Wed May  6 19:44:48 2015  memory use: 174.7 MB
Wed May  6 19:44:48 2015  found 805741 cycles, need 782590
Wed May  6 19:44:48 2015  weight of 782590 cycles is about 54970663 (70.24/cycle)
Wed May  6 19:44:48 2015  distribution of cycle lengths:
Wed May  6 19:44:48 2015  1 relations: 51654
Wed May  6 19:44:48 2015  2 relations: 75385
Wed May  6 19:44:48 2015  3 relations: 89835
Wed May  6 19:44:48 2015  4 relations: 92247
Wed May  6 19:44:48 2015  5 relations: 92067
Wed May  6 19:44:48 2015  6 relations: 85086
Wed May  6 19:44:48 2015  7 relations: 73530
Wed May  6 19:44:48 2015  8 relations: 60892
Wed May  6 19:44:48 2015  9 relations: 48285
Wed May  6 19:44:48 2015  10+ relations: 113609
Wed May  6 19:44:48 2015  heaviest cycle: 17 relations
Wed May  6 19:44:49 2015  commencing cycle optimization
Wed May  6 19:44:49 2015  start with 4559421 relations
Wed May  6 19:44:53 2015  pruned 151711 relations
Wed May  6 19:44:53 2015  memory use: 142.5 MB
Wed May  6 19:44:53 2015  distribution of cycle lengths:
Wed May  6 19:44:53 2015  1 relations: 51654
Wed May  6 19:44:53 2015  2 relations: 77183
Wed May  6 19:44:53 2015  3 relations: 93746
Wed May  6 19:44:53 2015  4 relations: 96152
Wed May  6 19:44:53 2015  5 relations: 96124
Wed May  6 19:44:53 2015  6 relations: 88317
Wed May  6 19:44:53 2015  7 relations: 75577
Wed May  6 19:44:53 2015  8 relations: 61207
Wed May  6 19:44:53 2015  9 relations: 47279
Wed May  6 19:44:53 2015  10+ relations: 95351
Wed May  6 19:44:53 2015  heaviest cycle: 17 relations
Wed May  6 19:44:54 2015  RelProcTime: 256
Wed May  6 19:44:54 2015  
Wed May  6 19:44:54 2015  commencing linear algebra
Wed May  6 19:44:54 2015  read 782590 cycles
Wed May  6 19:44:55 2015  cycles contain 2247168 unique relations
Wed May  6 19:45:15 2015  read 2247168 relations
Wed May  6 19:45:17 2015  using 20 quadratic characters above 268408844
Wed May  6 19:45:24 2015  building initial matrix
Wed May  6 19:45:37 2015  memory use: 286.6 MB
Wed May  6 19:45:38 2015  read 782590 cycles
Wed May  6 19:45:38 2015  matrix is 782666 x 782590 (233.1 MB) with weight 69702831 (89.07/col)
Wed May  6 19:45:38 2015  sparse part has weight 52492849 (67.08/col)
Wed May  6 19:45:42 2015  filtering completed in 2 passes
Wed May  6 19:45:42 2015  matrix is 782247 x 782305 (233.0 MB) with weight 69689767 (89.08/col)
Wed May  6 19:45:42 2015  sparse part has weight 52485870 (67.09/col)
Wed May  6 19:45:44 2015  matrix starts at (0, 0)
Wed May  6 19:45:44 2015  matrix is 782247 x 782305 (233.0 MB) with weight 69689767 (89.08/col)
Wed May  6 19:45:44 2015  sparse part has weight 52485870 (67.09/col)
Wed May  6 19:45:44 2015  saving the first 48 matrix rows for later
Wed May  6 19:45:45 2015  matrix includes 64 packed rows
Wed May  6 19:45:45 2015  matrix is 782199 x 782305 (220.9 MB) with weight 55053651 (70.37/col)
Wed May  6 19:45:45 2015  sparse part has weight 50074863 (64.01/col)
Wed May  6 19:45:45 2015  using block size 65536 for processor cache size 8192 kB
Wed May  6 19:45:46 2015  commencing Lanczos iteration (8 threads)
Wed May  6 19:45:46 2015  memory use: 215.5 MB
Wed May  6 19:45:50 2015  linear algebra at 0.4%, ETA 0h17m
Wed May  6 20:02:01 2015  lanczos error (dim = 782116): not all columns used
Wed May  6 20:02:01 2015  lanczos halted after 12370 iterations (dim = 782116)
Wed May  6 20:02:01 2015  linear algebra failed; retrying...
Wed May  6 20:02:01 2015  commencing Lanczos iteration (8 threads)
Wed May  6 20:02:01 2015  memory use: 215.5 MB
Wed May  6 20:02:05 2015  linear algebra at 0.4%, ETA 0h17m
Wed May  6 20:18:17 2015  lanczos halted after 12370 iterations (dim = 782118)
Wed May  6 20:18:17 2015  recovered 21 nontrivial dependencies
Wed May  6 20:18:17 2015  BLanczosTime: 2003
Wed May  6 20:18:17 2015  
Wed May  6 20:18:17 2015  commencing square root phase
Wed May  6 20:18:17 2015  reading relations for dependency 1
Wed May  6 20:18:17 2015  read 390644 cycles
Wed May  6 20:18:18 2015  cycles contain 1123318 unique relations
Wed May  6 20:18:35 2015  read 1123318 relations
Wed May  6 20:18:38 2015  multiplying 1123318 relations
Wed May  6 20:18:55 2015  multiply complete, coefficients have about 25.76 million bits
Wed May  6 20:18:56 2015  initial square root is modulo 25025851
Wed May  6 20:19:17 2015  GCD is N, no factor found
Wed May  6 20:19:17 2015  reading relations for dependency 2
Wed May  6 20:19:17 2015  read 390648 cycles
Wed May  6 20:19:18 2015  cycles contain 1121934 unique relations
Wed May  6 20:19:35 2015  read 1121934 relations
Wed May  6 20:19:38 2015  multiplying 1121934 relations
Wed May  6 20:19:55 2015  multiply complete, coefficients have about 25.73 million bits
Wed May  6 20:19:55 2015  initial square root is modulo 24551041
Wed May  6 20:20:17 2015  GCD is 1, no factor found
Wed May  6 20:20:17 2015  reading relations for dependency 3
Wed May  6 20:20:17 2015  read 390584 cycles
Wed May  6 20:20:17 2015  cycles contain 1121756 unique relations
Wed May  6 20:20:35 2015  read 1121756 relations
Wed May  6 20:20:38 2015  multiplying 1121756 relations
Wed May  6 20:20:55 2015  multiply complete, coefficients have about 25.73 million bits
Wed May  6 20:20:55 2015  initial square root is modulo 24486821
Wed May  6 20:21:16 2015  GCD is N, no factor found
Wed May  6 20:21:16 2015  reading relations for dependency 4
Wed May  6 20:21:17 2015  read 391609 cycles
Wed May  6 20:21:17 2015  cycles contain 1124540 unique relations
Wed May  6 20:21:35 2015  read 1124540 relations
Wed May  6 20:21:37 2015  multiplying 1124540 relations
Wed May  6 20:21:55 2015  multiply complete, coefficients have about 25.79 million bits
Wed May  6 20:21:55 2015  initial square root is modulo 25525901
Wed May  6 20:22:16 2015  sqrtTime: 239
--
n: 119901326822712921951354623152584536137278371954885975602283095318707713971050248580179942913256439676551881219146571896363167143563594724800058106573196848733541
m: 100000000000000000000000000000000000
deg: 5
c5: 1
c0: 629
skew: 3.63
# Murphy_E = 1.558e-10
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
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
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 10, 2014 00:30:32 UTC 2014 年 12 月 10 日 (水) 9 時 30 分 32 秒 (日本時間)
4511e6591 / 4413CypJanuary 24, 2015 20:34:06 UTC 2015 年 1 月 25 日 (日) 5 時 34 分 6 秒 (日本時間)

10176+6299

c173

name 名前Robert Backstrom
date 日付December 23, 2014 16:16:41 UTC 2014 年 12 月 24 日 (水) 1 時 16 分 41 秒 (日本時間)
composite number 合成数
52164840897235263432446531038080333854981742305685967657798643714136671883150756390193009911319770474700052164840897235263432446531038080333854981742305685967657798643714137<173>
prime factors 素因数
65062323131564049411304079997737303966323233610318129705741107447756128377021<77>
801767265391853827783962192287162080808875129865219418603985710370896580373874142660591116021197<96>
factorization results 素因数分解の結果
Number: n
N=52164840897235263432446531038080333854981742305685967657798643714136671883150756390193009911319770474700052164840897235263432446531038080333854981742305685967657798643714137
  ( 173 digits)
SNFS difficulty: 176 digits.
Divisors found:

Wed Dec 24 03:10:00 2014  prp77 factor: 65062323131564049411304079997737303966323233610318129705741107447756128377021
Wed Dec 24 03:10:00 2014  prp96 factor: 801767265391853827783962192287162080808875129865219418603985710370896580373874142660591116021197
Wed Dec 24 03:10:00 2014  elapsed time 00:33:14 (Msieve 1.44 - dependency 2)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.264).
Factorization parameters were as follows:
#
#  N = 10^176+629 1(174)81
#
n: 52164840897235263432446531038080333854981742305685967657798643714136671883150756390193009911319770474700052164840897235263432446531038080333854981742305685967657798643714137
m: 100000000000000000000000000000000000
deg: 5
c5: 10
c0: 629
skew: 2.29
# Murphy_E = 1.055e-10
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 11400000)
Primes: RFBsize:412849, AFBsize:413026,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 5412350 hash collisions in 30586924 relations (26373953 unique)
Msieve: matrix is 899118 x 899343 (252.8 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0hrs 24min 34sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 58sec.

Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,6000000,6000000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.038684] smpboot: CPU0: Intel(R) Core(TM) i7-4790 CPU @ 3.60GHz (fam: 06, model: 3c, stepping: 03)
[    0.000000] Memory: 16059644K/16661464K available (7373K kernel code, 1159K rwdata, 3228K rodata, 1468K init, 1504K bss, 601820K reserved)
[    1.137325] [drm] Memory usable by graphics device = 2048M
[    0.000027] Calibrating delay loop (skipped), value calculated using timer frequency.. 7200.13 BogoMIPS (lpj=3600065)
[    0.136532] smpboot: Total of 8 processors activated (57601.04 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 8, 2014 19:27:30 UTC 2014 年 12 月 9 日 (火) 4 時 27 分 30 秒 (日本時間)

10177+6299

c158

name 名前Jo Yeong Uk
date 日付October 13, 2015 00:26:25 UTC 2015 年 10 月 13 日 (火) 9 時 26 分 25 秒 (日本時間)
composite number 合成数
19209602881704872470676645313393177394068474785497951523217071211186499436165559155082015788839730118773344838887221620911302445555666807973796940300959516263<158>
prime factors 素因数
49395713751517859489970702090987163042997152332991580986661029289<65>
388892100604874626499326479449450244487369815506546205354002316080685439597994621578558625167<93>
factorization results 素因数分解の結果
Number: 11181_177
N=19209602881704872470676645313393177394068474785497951523217071211186499436165559155082015788839730118773344838887221620911302445555666807973796940300959516263
  ( 158 digits)
SNFS difficulty: 177 digits.
Divisors found:
 r1=49395713751517859489970702090987163042997152332991580986661029289
 r2=388892100604874626499326479449450244487369815506546205354002316080685439597994621578558625167
Version: 
Total time: 44.15 hours.
Scaled time: 229.60 units (timescale=5.201).
Factorization parameters were as follows:
n: 19209602881704872470676645313393177394068474785497951523217071211186499436165559155082015788839730118773344838887221620911302445555666807973796940300959516263
m: 100000000000000000000000000000000000
deg: 5
c5: 100
c0: 629
skew: 1.44
# Murphy_E = 1e-10
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [4200000, 9000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18798600
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1446618 x 1446866
Total sieving time: 38.99 hours.
Total relation processing time: 2.29 hours.
Matrix solve time: 2.61 hours.
Time per square root: 0.25 hours.
Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,53,53,2.5,2.5,100000
total time: 44.15 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49365480k/51380224k available (5395k kernel code, 1086460k absent, 928284k reserved, 7013k data, 1296k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.95 BogoMIPS (lpj=3399977)
Total of 12 processors activated (81599.44 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:47:15 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 15 秒 (日本時間)
4511e6660 / 4409600KTakahashiMay 6, 2015 00:08:58 UTC 2015 年 5 月 6 日 (水) 9 時 8 分 58 秒 (日本時間)
60Carlos PinhoOctober 10, 2015 08:29:39 UTC 2015 年 10 月 10 日 (土) 17 時 29 分 39 秒 (日本時間)

10179+6299

c117

name 名前Erik Branger
date 日付December 13, 2014 08:57:03 UTC 2014 年 12 月 13 日 (土) 17 時 57 分 3 秒 (日本時間)
composite number 合成数
204418747242699209446973278897288415292999252569308709560347341584116776368720471024410798746028051263968924613061479<117>
prime factors 素因数
602951573236480379017844766064078286502962455916176787<54>
339030124998986008099767872762272591161344547201849201949460317<63>
factorization results 素因数分解の結果
Number: 11181_179
N = 204418747242699209446973278897288415292999252569308709560347341584116776368720471024410798746028051263968924613061479 (117 digits)
Divisors found:
r1=602951573236480379017844766064078286502962455916176787 (pp54)
r2=339030124998986008099767872762272591161344547201849201949460317 (pp63)
Version: Msieve v. 1.51 (SVN 845)
Total time: 17.10 hours.
Factorization parameters were as follows:
n: 204418747242699209446973278897288415292999252569308709560347341584116776368720471024410798746028051263968924613061479
Y0: -28537758485210086513861
Y1: 758589880573
c0: -54691653881941459956630620080
c1: 3570887144338964951729452
c2: 33899400528073127540
c3: -532240625562927
c4: -2174202630
c5: 10800
skew: 126807.90 
type: gnfs
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 9882248
Relations: 1044814 relations
Pruned matrix : 581924 x 582152
Polynomial selection time: 0.00 hours.
Total sieving time: 16.48 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.25 hours.
time per square root: 0.32 hours.
Prototype def-par.txt line would be: gnfs,116,5,63,2000,2.6e-05,0.28,250,20,50000,3600,3600000,3600000,27,27,53,53,2.5,2.5,100000
total time: 17.10 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
351e6418118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosDecember 8, 2014 23:11:53 UTC 2014 年 12 月 9 日 (火) 8 時 11 分 53 秒 (日本時間)
403e62430110Ignacio SantosDecember 8, 2014 23:11:53 UTC 2014 年 12 月 9 日 (火) 8 時 11 分 53 秒 (日本時間)
2320Serge BatalovDecember 9, 2014 19:25:48 UTC 2014 年 12 月 10 日 (水) 4 時 25 分 48 秒 (日本時間)
4511e632 / 3924Ignacio SantosDecember 8, 2014 23:11:53 UTC 2014 年 12 月 9 日 (火) 8 時 11 分 53 秒 (日本時間)

10182+6299

c176

name 名前Jo Yeong Uk
date 日付March 5, 2016 00:20:03 UTC 2016 年 3 月 5 日 (土) 9 時 20 分 3 秒 (日本時間)
composite number 合成数
21275749241466350168620950613241558261405344085245970000768054547616935241087216317138020253236732921477379517027726769168971362203248509048682531141846058465333400564700936367<176>
prime factors 素因数
1028001819328750000715862628295714759845733318583738737720343948049891049799371<79>
20696217498290699669707719109317065170951376735924760990345636636499255444542492468938684229528877<98>
factorization results 素因数分解の結果
Number: 11181_182
N=21275749241466350168620950613241558261405344085245970000768054547616935241087216317138020253236732921477379517027726769168971362203248509048682531141846058465333400564700936367
  ( 176 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=1028001819328750000715862628295714759845733318583738737720343948049891049799371
 r2=20696217498290699669707719109317065170951376735924760990345636636499255444542492468938684229528877
Version: 
Total time: 67.31 hours.
Scaled time: 353.72 units (timescale=5.255).
Factorization parameters were as follows:
n: 21275749241466350168620950613241558261405344085245970000768054547616935241087216317138020253236732921477379517027726769168971362203248509048682531141846058465333400564700936367
m: 1000000000000000000000000000000000000
deg: 5
c5: 100
c0: 629
skew: 1.44
# Murphy_E = 6.292e-11
type: snfs
lss: 1
rlim: 6400000
alim: 6400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3200000, 6400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18764531
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1372682 x 1372930
Total sieving time: 63.55 hours.
Total relation processing time: 1.55 hours.
Matrix solve time: 2.13 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,6400000,6400000,28,28,53,53,2.5,2.5,100000
total time: 67.31 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 7, 2014 23:16:08 UTC 2014 年 12 月 8 日 (月) 8 時 16 分 8 秒 (日本時間)
4511e6600 / 4413KTakahashiMay 21, 2015 10:45:00 UTC 2015 年 5 月 21 日 (木) 19 時 45 分 0 秒 (日本時間)

10185+6299

c154

name 名前Cyp
date 日付December 10, 2014 05:48:04 UTC 2014 年 12 月 10 日 (水) 14 時 48 分 4 秒 (日本時間)
composite number 合成数
8530716024139550929659679129616422219759517745145360796968929144725144700432723867754846366879215696688059296370304117170693479086470640289450087222594063<154>
prime factors 素因数
7175915612271612770313505586762731<34>
composite cofactor 合成数の残り
1188798264231407483247295986278734966595194427514140963377840576799657372816817970836924806493569294148789878994954513773<121>
factorization results 素因数分解の結果
Run 151 out of 280:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4240784109
Step 1 took 11820ms
Step 2 took 4343ms
********** Factor found in step 2: 7175915612271612770313505586762731
Found probable prime factor of 34 digits: 7175915612271612770313505586762731
Composite cofactor 1188798264231407483247295986278734966595194427514140963377840576799657372816817970836924806493569294148789878994954513773 has 121 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

c121

name 名前Erik Branger
date 日付December 13, 2014 18:56:27 UTC 2014 年 12 月 14 日 (日) 3 時 56 分 27 秒 (日本時間)
composite number 合成数
1188798264231407483247295986278734966595194427514140963377840576799657372816817970836924806493569294148789878994954513773<121>
prime factors 素因数
125536910754476656338457088324418828956334336463<48>
9469710996445042292007360854237418331338281438163799492794256741614522371<73>
factorization results 素因数分解の結果
Number: 11181_185
N = 1188798264231407483247295986278734966595194427514140963377840576799657372816817970836924806493569294148789878994954513773 (121 digits)
Divisors found:
r1=125536910754476656338457088324418828956334336463 (pp48)
r2=9469710996445042292007360854237418331338281438163799492794256741614522371 (pp73)
Version: Msieve v. 1.51 (SVN 845)
Total time: 24.23 hours.
Factorization parameters were as follows:
n: 1188798264231407483247295986278734966595194427514140963377840576799657372816817970836924806493569294148789878994954513773
Y0: -184770859119268959102717
Y1: 2065208294281
c0: 347177972893011151907048546240
c1: 14009643578227804415582982
c2: -69154652121991402153
c3: -1264478547495060
c4: 1926287996
c5: 5520
skew: 205419.85
type: gnfs
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10388368
Relations: 1286376 relations
Pruned matrix : 728157 x 728383
Polynomial selection time: 0.00 hours.
Total sieving time: 23.18 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.41 hours.
time per square root: 0.58 hours.
Prototype def-par.txt line would be: gnfs,120,5,65,2000,1e-05,0.28,250,20,50000,3600,4400000,4400000,27,27,53,53,2.5,2.5,100000
total time: 24.23 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280 / 2318CypDecember 10, 2014 05:48:04 UTC 2014 年 12 月 10 日 (水) 14 時 48 分 4 秒 (日本時間)

10186+6299

c171

name 名前Alfred Reich
date 日付November 1, 2016 22:25:39 UTC 2016 年 11 月 2 日 (水) 7 時 25 分 39 秒 (日本時間)
composite number 合成数
200961864888614339868066052358747685355017990956311744379673228275038969235697860749662763241265127909389555670823234462074131360505370478532821385286663557499889985469513<171>
prime factors 素因数
19756594454463261794185050879211369844824666492884688407847121549<65>
10171887941102852422311581746877607032857352853108213578409806842923785326594788893701232576666353601617837<107>
factorization results 素因数分解の結果
Tue Nov 01 21:21:54 2016  
Tue Nov 01 21:21:54 2016  
Tue Nov 01 21:21:54 2016  Msieve v. 1.53 (SVN 967)
Tue Nov 01 21:21:54 2016  random seeds: dc330540 82fdad6e
Tue Nov 01 21:21:54 2016  factoring 200961864888614339868066052358747685355017990956311744379673228275038969235697860749662763241265127909389555670823234462074131360505370478532821385286663557499889985469513 (171 digits)
Tue Nov 01 21:21:55 2016  no P-1/P+1/ECM available, skipping
Tue Nov 01 21:21:55 2016  commencing number field sieve (171-digit input)
Tue Nov 01 21:21:55 2016  R0: -10000000000000000000000000000000000000
Tue Nov 01 21:21:55 2016  R1: 1
Tue Nov 01 21:21:55 2016  A0: 629
Tue Nov 01 21:21:55 2016  A1: 0
Tue Nov 01 21:21:55 2016  A2: 0
Tue Nov 01 21:21:55 2016  A3: 0
Tue Nov 01 21:21:55 2016  A4: 0
Tue Nov 01 21:21:55 2016  A5: 10
Tue Nov 01 21:21:55 2016  skew 2.29, size 3.100e-013, alpha 1.618, combined = 3.836e-011 rroots = 1
Tue Nov 01 21:21:55 2016  
Tue Nov 01 21:21:55 2016  commencing relation filtering
Tue Nov 01 21:21:55 2016  estimated available RAM is 24567.3 MB
Tue Nov 01 21:21:55 2016  commencing duplicate removal, pass 1
Tue Nov 01 21:26:51 2016  skipped 7 relations with composite factors
Tue Nov 01 21:26:51 2016  found 4830766 hash collisions in 23394552 relations
Tue Nov 01 21:27:30 2016  added 714266 free relations
Tue Nov 01 21:27:30 2016  commencing duplicate removal, pass 2
Tue Nov 01 21:27:43 2016  found 5100865 duplicates and 19007953 unique relations
Tue Nov 01 21:27:43 2016  memory use: 165.2 MB
Tue Nov 01 21:27:43 2016  reading ideals above 720000
Tue Nov 01 21:27:43 2016  commencing singleton removal, initial pass
Tue Nov 01 21:31:36 2016  memory use: 689.0 MB
Tue Nov 01 21:31:37 2016  reading all ideals from disk
Tue Nov 01 21:31:38 2016  memory use: 601.0 MB
Tue Nov 01 21:31:39 2016  keeping 21246359 ideals with weight <= 200, target excess is 115834
Tue Nov 01 21:31:40 2016  commencing in-memory singleton removal
Tue Nov 01 21:31:42 2016  begin with 19007953 relations and 21246359 unique ideals
Tue Nov 01 21:31:55 2016  reduce to 7505752 relations and 7357551 ideals in 18 passes
Tue Nov 01 21:31:55 2016  max relations containing the same ideal: 102
Tue Nov 01 21:32:00 2016  relations with 0 large ideals: 2819
Tue Nov 01 21:32:00 2016  relations with 1 large ideals: 951
Tue Nov 01 21:32:00 2016  relations with 2 large ideals: 18333
Tue Nov 01 21:32:00 2016  relations with 3 large ideals: 141150
Tue Nov 01 21:32:00 2016  relations with 4 large ideals: 603603
Tue Nov 01 21:32:00 2016  relations with 5 large ideals: 1488124
Tue Nov 01 21:32:00 2016  relations with 6 large ideals: 2245731
Tue Nov 01 21:32:00 2016  relations with 7+ large ideals: 3005041
Tue Nov 01 21:32:00 2016  commencing 2-way merge
Tue Nov 01 21:32:05 2016  reduce to 4279660 relation sets and 4132320 unique ideals
Tue Nov 01 21:32:06 2016  ignored 861 oversize relation sets
Tue Nov 01 21:32:06 2016  commencing full merge
Tue Nov 01 21:33:21 2016  memory use: 460.1 MB
Tue Nov 01 21:33:22 2016  found 2080619 cycles, need 2076520
Tue Nov 01 21:33:22 2016  weight of 2076520 cycles is about 145646300 (70.14/cycle)
Tue Nov 01 21:33:22 2016  distribution of cycle lengths:
Tue Nov 01 21:33:22 2016  1 relations: 297675
Tue Nov 01 21:33:22 2016  2 relations: 268937
Tue Nov 01 21:33:22 2016  3 relations: 257042
Tue Nov 01 21:33:22 2016  4 relations: 221366
Tue Nov 01 21:33:22 2016  5 relations: 187403
Tue Nov 01 21:33:22 2016  6 relations: 155353
Tue Nov 01 21:33:22 2016  7 relations: 129007
Tue Nov 01 21:33:22 2016  8 relations: 103927
Tue Nov 01 21:33:22 2016  9 relations: 83687
Tue Nov 01 21:33:22 2016  10+ relations: 372123
Tue Nov 01 21:33:22 2016  heaviest cycle: 28 relations
Tue Nov 01 21:33:22 2016  commencing cycle optimization
Tue Nov 01 21:33:26 2016  start with 12159829 relations
Tue Nov 01 21:33:49 2016  pruned 254073 relations
Tue Nov 01 21:33:49 2016  memory use: 413.1 MB
Tue Nov 01 21:33:49 2016  distribution of cycle lengths:
Tue Nov 01 21:33:49 2016  1 relations: 297675
Tue Nov 01 21:33:49 2016  2 relations: 274645
Tue Nov 01 21:33:49 2016  3 relations: 265379
Tue Nov 01 21:33:49 2016  4 relations: 225014
Tue Nov 01 21:33:49 2016  5 relations: 190477
Tue Nov 01 21:33:49 2016  6 relations: 156013
Tue Nov 01 21:33:49 2016  7 relations: 128372
Tue Nov 01 21:33:49 2016  8 relations: 102414
Tue Nov 01 21:33:49 2016  9 relations: 81941
Tue Nov 01 21:33:49 2016  10+ relations: 354590
Tue Nov 01 21:33:49 2016  heaviest cycle: 28 relations
Tue Nov 01 21:34:02 2016  RelProcTime: 727
Tue Nov 01 21:34:02 2016  
Tue Nov 01 21:34:02 2016  commencing linear algebra
Tue Nov 01 21:34:03 2016  read 2076520 cycles
Tue Nov 01 21:34:07 2016  cycles contain 7039731 unique relations
Tue Nov 01 21:35:13 2016  read 7039731 relations
Tue Nov 01 21:35:23 2016  using 20 quadratic characters above 268435338
Tue Nov 01 21:35:54 2016  building initial matrix
Tue Nov 01 21:37:01 2016  memory use: 858.2 MB
Tue Nov 01 21:37:02 2016  read 2076520 cycles
Tue Nov 01 21:37:03 2016  matrix is 2076325 x 2076520 (624.3 MB) with weight 184834957 (89.01/col)
Tue Nov 01 21:37:03 2016  sparse part has weight 140813983 (67.81/col)
Tue Nov 01 21:37:25 2016  filtering completed in 2 passes
Tue Nov 01 21:37:25 2016  matrix is 2072606 x 2072800 (623.9 MB) with weight 184679935 (89.10/col)
Tue Nov 01 21:37:25 2016  sparse part has weight 140749989 (67.90/col)
Tue Nov 01 21:38:05 2016  matrix starts at (0, 0)
Tue Nov 01 21:38:05 2016  matrix is 2072606 x 2072800 (623.9 MB) with weight 184679935 (89.10/col)
Tue Nov 01 21:38:05 2016  sparse part has weight 140749989 (67.90/col)
Tue Nov 01 21:38:05 2016  saving the first 48 matrix rows for later
Tue Nov 01 21:38:06 2016  matrix includes 64 packed rows
Tue Nov 01 21:38:07 2016  matrix is 2072558 x 2072800 (593.2 MB) with weight 146583307 (70.72/col)
Tue Nov 01 21:38:07 2016  sparse part has weight 134770549 (65.02/col)
Tue Nov 01 21:38:07 2016  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Tue Nov 01 21:38:15 2016  commencing Lanczos iteration (12 threads)
Tue Nov 01 21:38:15 2016  memory use: 479.3 MB
Tue Nov 01 21:38:19 2016  linear algebra at 0.1%, ETA 1h30m
Tue Nov 01 21:38:20 2016  checkpointing every 1460000 dimensions
Tue Nov 01 23:02:22 2016  lanczos halted after 32780 iterations (dim = 2072552)
Tue Nov 01 23:02:25 2016  recovered 32 nontrivial dependencies
Tue Nov 01 23:02:26 2016  BLanczosTime: 5304
Tue Nov 01 23:02:26 2016  
Tue Nov 01 23:02:26 2016  commencing square root phase
Tue Nov 01 23:02:26 2016  reading relations for dependency 1
Tue Nov 01 23:02:27 2016  read 1036532 cycles
Tue Nov 01 23:02:28 2016  cycles contain 3519894 unique relations
Tue Nov 01 23:03:03 2016  read 3519894 relations
Tue Nov 01 23:03:20 2016  multiplying 3519894 relations
Tue Nov 01 23:05:53 2016  multiply complete, coefficients have about 92.47 million bits
Tue Nov 01 23:05:54 2016  initial square root is modulo 4335841
Tue Nov 01 23:09:41 2016  sqrtTime: 435
Tue Nov 01 23:09:41 2016  prp65 factor: 19756594454463261794185050879211369844824666492884688407847121549
Tue Nov 01 23:09:41 2016  prp107 factor: 10171887941102852422311581746877607032857352853108213578409806842923785326594788893701232576666353601617837
Tue Nov 01 23:09:41 2016  elapsed time 01:47:47

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:47:16 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 16 秒 (日本時間)
4511e6600 / 4409KTakahashiJune 3, 2015 09:46:50 UTC 2015 年 6 月 3 日 (水) 18 時 46 分 50 秒 (日本時間)

10187+6299

c180

name 名前LegionMammal978
date 日付February 18, 2017 03:31:18 UTC 2017 年 2 月 18 日 (土) 12 時 31 分 18 秒 (日本時間)
composite number 合成数
800548664032381232801712982009349928066699793370384326602080001549862213566690066704116333170101460737130799965064056301626883000533245465111969139169221017316427987085228732364013<180>
prime factors 素因数
23018054706986986163394959067779568121274059407700877790423079205954256575987283162217<86>
34779162454131265313233979042506333714541884371383991125398904457493814570206810339438041865189<95>
factorization results 素因数分解の結果
Fri Feb 17 20:17:53 2017  Msieve v. 1.53 (SVN Unversioned directory)
Fri Feb 17 20:17:53 2017  random seeds: b433e2f3 5eeef003
Fri Feb 17 20:17:53 2017  factoring 800548664032381232801712982009349928066699793370384326602080001549862213566690066704116333170101460737130799965064056301626883000533245465111969139169221017316427987085228732364013 (180 digits)
Fri Feb 17 20:17:54 2017  no P-1/P+1/ECM available, skipping
Fri Feb 17 20:17:54 2017  commencing number field sieve (180-digit input)
Fri Feb 17 20:17:54 2017  R0: -10000000000000000000000000000000000000
Fri Feb 17 20:17:54 2017  R1: 1
Fri Feb 17 20:17:54 2017  A0: 629
Fri Feb 17 20:17:54 2017  A1: 0
Fri Feb 17 20:17:54 2017  A2: 0
Fri Feb 17 20:17:54 2017  A3: 0
Fri Feb 17 20:17:54 2017  A4: 0
Fri Feb 17 20:17:54 2017  A5: 100
Fri Feb 17 20:17:54 2017  skew 1.44, size 2.836e-13, alpha 0.504, combined = 3.940e-11 rroots = 1
Fri Feb 17 20:17:54 2017  
Fri Feb 17 20:17:54 2017  commencing relation filtering
Fri Feb 17 20:17:54 2017  estimated available RAM is 15929.4 MB
Fri Feb 17 20:17:54 2017  commencing duplicate removal, pass 1
Fri Feb 17 20:20:35 2017  found 3344721 hash collisions in 22232746 relations
Fri Feb 17 20:20:54 2017  added 363 free relations
Fri Feb 17 20:20:54 2017  commencing duplicate removal, pass 2
Fri Feb 17 20:21:00 2017  found 3041871 duplicates and 19191238 unique relations
Fri Feb 17 20:21:00 2017  memory use: 98.6 MB
Fri Feb 17 20:21:00 2017  reading ideals above 720000
Fri Feb 17 20:21:00 2017  commencing singleton removal, initial pass
Fri Feb 17 20:22:57 2017  memory use: 689.0 MB
Fri Feb 17 20:22:57 2017  reading all ideals from disk
Fri Feb 17 20:22:57 2017  memory use: 610.6 MB
Fri Feb 17 20:22:58 2017  keeping 21359609 ideals with weight <= 200, target excess is 116374
Fri Feb 17 20:22:59 2017  commencing in-memory singleton removal
Fri Feb 17 20:22:59 2017  begin with 19191238 relations and 21359609 unique ideals
Fri Feb 17 20:23:08 2017  reduce to 7719001 relations and 7530685 ideals in 20 passes
Fri Feb 17 20:23:08 2017  max relations containing the same ideal: 107
Fri Feb 17 20:23:10 2017  removing 389348 relations and 362687 ideals in 26661 cliques
Fri Feb 17 20:23:10 2017  commencing in-memory singleton removal
Fri Feb 17 20:23:10 2017  begin with 7329653 relations and 7530685 unique ideals
Fri Feb 17 20:23:14 2017  reduce to 7312194 relations and 7150423 ideals in 11 passes
Fri Feb 17 20:23:14 2017  max relations containing the same ideal: 103
Fri Feb 17 20:23:16 2017  removing 278723 relations and 252062 ideals in 26661 cliques
Fri Feb 17 20:23:16 2017  commencing in-memory singleton removal
Fri Feb 17 20:23:16 2017  begin with 7033471 relations and 7150423 unique ideals
Fri Feb 17 20:23:19 2017  reduce to 7023980 relations and 6888808 ideals in 8 passes
Fri Feb 17 20:23:19 2017  max relations containing the same ideal: 99
Fri Feb 17 20:23:22 2017  relations with 0 large ideals: 2944
Fri Feb 17 20:23:22 2017  relations with 1 large ideals: 871
Fri Feb 17 20:23:22 2017  relations with 2 large ideals: 16544
Fri Feb 17 20:23:22 2017  relations with 3 large ideals: 130483
Fri Feb 17 20:23:22 2017  relations with 4 large ideals: 554534
Fri Feb 17 20:23:22 2017  relations with 5 large ideals: 1362212
Fri Feb 17 20:23:22 2017  relations with 6 large ideals: 2072903
Fri Feb 17 20:23:22 2017  relations with 7+ large ideals: 2883489
Fri Feb 17 20:23:22 2017  commencing 2-way merge
Fri Feb 17 20:23:25 2017  reduce to 4088023 relation sets and 3952852 unique ideals
Fri Feb 17 20:23:25 2017  ignored 1 oversize relation sets
Fri Feb 17 20:23:25 2017  commencing full merge
Fri Feb 17 20:24:06 2017  memory use: 477.3 MB
Fri Feb 17 20:24:07 2017  found 2096623 cycles, need 2083052
Fri Feb 17 20:24:07 2017  weight of 2083052 cycles is about 145884543 (70.03/cycle)
Fri Feb 17 20:24:07 2017  distribution of cycle lengths:
Fri Feb 17 20:24:07 2017  1 relations: 315139
Fri Feb 17 20:24:07 2017  2 relations: 274858
Fri Feb 17 20:24:07 2017  3 relations: 250350
Fri Feb 17 20:24:07 2017  4 relations: 214460
Fri Feb 17 20:24:07 2017  5 relations: 184305
Fri Feb 17 20:24:07 2017  6 relations: 151672
Fri Feb 17 20:24:07 2017  7 relations: 127752
Fri Feb 17 20:24:07 2017  8 relations: 105120
Fri Feb 17 20:24:07 2017  9 relations: 86181
Fri Feb 17 20:24:07 2017  10+ relations: 373215
Fri Feb 17 20:24:07 2017  heaviest cycle: 26 relations
Fri Feb 17 20:24:07 2017  commencing cycle optimization
Fri Feb 17 20:24:10 2017  start with 11936923 relations
Fri Feb 17 20:24:20 2017  pruned 250988 relations
Fri Feb 17 20:24:20 2017  memory use: 403.2 MB
Fri Feb 17 20:24:20 2017  distribution of cycle lengths:
Fri Feb 17 20:24:20 2017  1 relations: 315139
Fri Feb 17 20:24:20 2017  2 relations: 280486
Fri Feb 17 20:24:20 2017  3 relations: 258158
Fri Feb 17 20:24:20 2017  4 relations: 218230
Fri Feb 17 20:24:20 2017  5 relations: 187278
Fri Feb 17 20:24:20 2017  6 relations: 152801
Fri Feb 17 20:24:20 2017  7 relations: 127598
Fri Feb 17 20:24:20 2017  8 relations: 103864
Fri Feb 17 20:24:20 2017  9 relations: 84494
Fri Feb 17 20:24:20 2017  10+ relations: 355004
Fri Feb 17 20:24:20 2017  heaviest cycle: 26 relations
Fri Feb 17 20:24:22 2017  RelProcTime: 388
Fri Feb 17 20:24:22 2017  elapsed time 00:06:29
Fri Feb 17 20:24:22 2017 LatSieveTime: 1173.59
Fri Feb 17 20:24:22 2017 -> Running matrix solving step ...
Fri Feb 17 20:24:22 2017 -> ./msieve -s 11181_187/11181_187.dat -l 11181_187/11181_187.log -i 11181_187/11181_187.ini -nf 11181_187/11181_187.fb -t 6 -nc2
Fri Feb 17 20:24:22 2017  
Fri Feb 17 20:24:22 2017  
Fri Feb 17 20:24:22 2017  Msieve v. 1.53 (SVN Unversioned directory)
Fri Feb 17 20:24:22 2017  random seeds: 67c06d4e e56fba74
Fri Feb 17 20:24:22 2017  factoring 800548664032381232801712982009349928066699793370384326602080001549862213566690066704116333170101460737130799965064056301626883000533245465111969139169221017316427987085228732364013 (180 digits)
Fri Feb 17 20:24:23 2017  no P-1/P+1/ECM available, skipping
Fri Feb 17 20:24:23 2017  commencing number field sieve (180-digit input)
Fri Feb 17 20:24:23 2017  R0: -10000000000000000000000000000000000000
Fri Feb 17 20:24:23 2017  R1: 1
Fri Feb 17 20:24:23 2017  A0: 629
Fri Feb 17 20:24:23 2017  A1: 0
Fri Feb 17 20:24:23 2017  A2: 0
Fri Feb 17 20:24:23 2017  A3: 0
Fri Feb 17 20:24:23 2017  A4: 0
Fri Feb 17 20:24:23 2017  A5: 100
Fri Feb 17 20:24:23 2017  skew 1.44, size 2.836e-13, alpha 0.504, combined = 3.940e-11 rroots = 1
Fri Feb 17 20:24:23 2017  
Fri Feb 17 20:24:23 2017  commencing linear algebra
Fri Feb 17 20:24:24 2017  read 2083052 cycles
Fri Feb 17 20:24:26 2017  cycles contain 6857133 unique relations
Fri Feb 17 20:24:58 2017  read 6857133 relations
Fri Feb 17 20:25:02 2017  using 20 quadratic characters above 4294917295
Fri Feb 17 20:25:29 2017  building initial matrix
Fri Feb 17 20:26:08 2017  memory use: 829.5 MB
Fri Feb 17 20:26:08 2017  read 2083052 cycles
Fri Feb 17 20:26:09 2017  matrix is 2082873 x 2083052 (624.9 MB) with weight 182933247 (87.82/col)
Fri Feb 17 20:26:09 2017  sparse part has weight 140905569 (67.64/col)
Fri Feb 17 20:26:20 2017  filtering completed in 2 passes
Fri Feb 17 20:26:20 2017  matrix is 2080051 x 2080229 (624.7 MB) with weight 182840487 (87.89/col)
Fri Feb 17 20:26:20 2017  sparse part has weight 140872904 (67.72/col)
Fri Feb 17 20:26:24 2017  matrix starts at (0, 0)
Fri Feb 17 20:26:25 2017  matrix is 2080051 x 2080229 (624.7 MB) with weight 182840487 (87.89/col)
Fri Feb 17 20:26:25 2017  sparse part has weight 140872904 (67.72/col)
Fri Feb 17 20:26:25 2017  saving the first 48 matrix rows for later
Fri Feb 17 20:26:25 2017  matrix includes 64 packed rows
Fri Feb 17 20:26:25 2017  matrix is 2080003 x 2080229 (592.5 MB) with weight 146746465 (70.54/col)
Fri Feb 17 20:26:25 2017  sparse part has weight 134505127 (64.66/col)
Fri Feb 17 20:26:25 2017  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Fri Feb 17 20:26:30 2017  commencing Lanczos iteration (6 threads)
Fri Feb 17 20:26:30 2017  memory use: 476.2 MB
Fri Feb 17 20:26:35 2017  linear algebra at 0.1%, ETA 1h54m
Fri Feb 17 20:26:37 2017  checkpointing every 1040000 dimensions
Fri Feb 17 22:17:08 2017  lanczos halted after 32893 iterations (dim = 2079999)
Fri Feb 17 22:17:09 2017  recovered 35 nontrivial dependencies
Fri Feb 17 22:17:09 2017  BLanczosTime: 6766
Fri Feb 17 22:17:09 2017  elapsed time 01:52:47
Fri Feb 17 22:17:09 2017 -> Running square root step ...
Fri Feb 17 22:17:09 2017 -> ./msieve -s 11181_187/11181_187.dat -l 11181_187/11181_187.log -i 11181_187/11181_187.ini -nf 11181_187/11181_187.fb -t 6 -nc3
Fri Feb 17 22:17:09 2017  
Fri Feb 17 22:17:09 2017  
Fri Feb 17 22:17:09 2017  Msieve v. 1.53 (SVN Unversioned directory)
Fri Feb 17 22:17:09 2017  random seeds: 4e73c10a dda3863c
Fri Feb 17 22:17:09 2017  factoring 800548664032381232801712982009349928066699793370384326602080001549862213566690066704116333170101460737130799965064056301626883000533245465111969139169221017316427987085228732364013 (180 digits)
Fri Feb 17 22:17:10 2017  no P-1/P+1/ECM available, skipping
Fri Feb 17 22:17:10 2017  commencing number field sieve (180-digit input)
Fri Feb 17 22:17:10 2017  R0: -10000000000000000000000000000000000000
Fri Feb 17 22:17:10 2017  R1: 1
Fri Feb 17 22:17:10 2017  A0: 629
Fri Feb 17 22:17:10 2017  A1: 0
Fri Feb 17 22:17:10 2017  A2: 0
Fri Feb 17 22:17:10 2017  A3: 0
Fri Feb 17 22:17:10 2017  A4: 0
Fri Feb 17 22:17:10 2017  A5: 100
Fri Feb 17 22:17:10 2017  skew 1.44, size 2.836e-13, alpha 0.504, combined = 3.940e-11 rroots = 1
Fri Feb 17 22:17:10 2017  
Fri Feb 17 22:17:10 2017  commencing square root phase
Fri Feb 17 22:17:10 2017  reading relations for dependency 1
Fri Feb 17 22:17:10 2017  read 1041081 cycles
Fri Feb 17 22:17:11 2017  cycles contain 3432380 unique relations
Fri Feb 17 22:17:28 2017  read 3432380 relations
Fri Feb 17 22:17:38 2017  multiplying 3432380 relations
Fri Feb 17 22:19:14 2017  multiply complete, coefficients have about 101.08 million bits
Fri Feb 17 22:19:14 2017  initial square root is modulo 17994961
Fri Feb 17 22:21:17 2017  sqrtTime: 247
Fri Feb 17 22:21:17 2017  p86 factor: 23018054706986986163394959067779568121274059407700877790423079205954256575987283162217
Fri Feb 17 22:21:17 2017  p95 factor: 34779162454131265313233979042506333714541884371383991125398904457493814570206810339438041865189
Fri Feb 17 22:21:17 2017  elapsed time 00:04:08
software ソフトウェア
Msieve 1.53 snfs
execution environment 実行環境
64-bit Ubuntu 16.04.1 LTS, Core i7-2600K 3.4GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:47:16 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 16 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovNovember 19, 2015 22:57:38 UTC 2015 年 11 月 20 日 (金) 7 時 57 分 38 秒 (日本時間)

10189+6299

c179

name 名前Kenji Ibusuki
date 日付March 28, 2018 14:08:31 UTC 2018 年 3 月 28 日 (水) 23 時 8 分 31 秒 (日本時間)
composite number 合成数
20611161642743803226133331804446829462540595146505500075798196192782082793906950910805055423621108680021091452000254142136182110200820043439281679612471235700984479111672615711287<179>
prime factors 素因数
34051129996872677644635237994595828044899437<44>
605300371665691347398868922092689774011711215492335873893833383837949842014890911519337744951227187783853845729763378471830170738320051<135>
factorization results 素因数分解の結果
Number: 11181_189
N=20611161642743803226133331804446829462540595146505500075798196192782082793906950910805055423621108680021091452000254142136182110200820043439281679612471235700984479111672615711287
  ( 179 digits)
SNFS difficulty: 189 digits.
Divisors found: (Total dependency: 1)
 r1=34051129996872677644635237994595828044899437 (pp44)
 r2=605300371665691347398868922092689774011711215492335873893833383837949842014890911519337744951227187783853845729763378471830170738320051 (pp135)
Msieve version: Msieve v. 1.49 (SVN unknown)
GGNFS version: GGNFS-0.77.1-VC8(UTE)
Total time: 387.03 hours (19.21 calendar hours).
Scaled time: 1512.92 units (timescale=3.909).
Factorization parameters were as follows:
n: 20611161642743803226133331804446829462540595146505500075798196192782082793906950910805055423621108680021091452000254142136182110200820043439281679612471235700984479111672615711287
m: 50000000000000000000000000000000000000
deg: 5
c5: 16
c0: 3145
skew: 2.88
# Murphy_E = 3.006e-11
type: snfs
lss: 1
rlim: 10200000
alim: 10200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
relslim: 29100000
qintsize: 5000

Polynomial score was as follows:
skew 2.88, size 2.202e-013, alpha 0.679, combined = 3.378e-011 rroots = 1
Factor base limits: 10200000/10200000
Large primes per side: 3
Large prime bits: 28/28
Sieved special-q in [5100000, 26555001)
Relations: raw-rels:29259976 rels:24798787, finalFF:1704636
Pruned matrix : 1704206 x 1704431
Total sieving time: 374.70 hours (17.28 calendar hours).
Total relation processing time: 0.11 hours.
Total matrix build processing time: 0.04 hours.
Matrix pruned processing time: (N/A)
Matrix solve time: 12.13 hours (1.73 calendar hours).
Total time of square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,189,5,0,0,0,0,0,0,0,0,10200000,10200000,28,28,54,54,2.5,2.5,100000
total time: 387.03 hours (19.21 calendar hours).
 --------- CPU info (if available) ----------
software ソフトウェア
Msieve v. 1.49 (SVN unknown) + GGNFS-0.77.1-VC8 with 
factMsieve.pl (decomposed + modified) snfs
(without procrels.exe, matbuild.exe for "finalFF" calculation)
execution environment 実行環境
[Envilonment]
  PC #1   (Master) --- Intel Core i7 2600, 16GB RAM, Windows 7 64bit
  PC #2,3 (Slave)  --- Intel Core i7 4770, 16GB RAM, Windows 7 64bit
  PC #4   (Slave)  --- Intel Core 2 Quad Q6600, 4GB RAM, Windows Vista 32bit

[Threads used]
  (Sieving)
    PC #1   --- 7 threads used
    PC #2,3 --- 7 threads used x 2
    PC #4   --- 4 threads used
  (Relation processing and Matrix build processing)
    PC #1   --- 1 thread used
  (Matrix solve)
    PC #1   --- 7 threads used
  (Square root processing)
    PC #1   --- 1 thread used

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:47:17 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 17 秒 (日本時間)
4511e6585 / 4409CypMay 31, 2015 07:34:20 UTC 2015 年 5 月 31 日 (日) 16 時 34 分 20 秒 (日本時間)

10194+6299

c159

composite cofactor 合成数の残り
713074542408085489812021854828930424261595185038313160954529260495205246656867859388926989743228516186682876142782324805246734940933147815776286296576448763569<159>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:47:17 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 17 秒 (日本時間)
4511e6585 / 4409CypMay 15, 2015 06:02:45 UTC 2015 年 5 月 15 日 (金) 15 時 2 分 45 秒 (日本時間)

10195+6299

c156

composite cofactor 合成数の残り
905353776367597425683278881530569248933410138786192163596471007188960433524134833570858345736888771337816440578741648109427054666204001003587850200578127969<156>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:47:18 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 18 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovNovember 17, 2015 21:25:17 UTC 2015 年 11 月 18 日 (水) 6 時 25 分 17 秒 (日本時間)

10197+6299

c155

composite cofactor 合成数の残り
14577822275164742993064480690580487092608998069293493721505693167451584658188089377600264667528286574350444294496521842182360308675107104631015116998038081<155>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 9, 2014 22:08:15 UTC 2014 年 12 月 10 日 (水) 7 時 8 分 15 秒 (日本時間)
4511e6591 / 4413CypJuly 5, 2015 17:35:43 UTC 2015 年 7 月 6 日 (月) 2 時 35 分 43 秒 (日本時間)

10198+6299

c193

name 名前Cyp
date 日付February 1, 2015 16:07:53 UTC 2015 年 2 月 2 日 (月) 1 時 7 分 53 秒 (日本時間)
composite number 合成数
1013149669561235272603115840493768622957363622455854536023043076084500735040085266676190273560542278229135955567308091722465884717751699305283271581860973576043468173422855238135764082020544649<193>
prime factors 素因数
1261534597958419434517350679090627<34>
587808536906663426464802845172100113<36>
1366276354553679701638209700691686919168842309171423783882401556424902566955768721079634562092800231824212019990178193060499<124>
factorization results 素因数分解の結果
Run 35 out of 591:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2677248302
Step 1 took 59177ms
Step 2 took 19552ms
********** Factor found in step 2: 1261534597958419434517350679090627
Found probable prime factor of 34 digits: 1261534597958419434517350679090627
Composite cofactor 803108904980368199950351921906451040610654337227758350412307601847772143017635220200495619017415789811022143864096969740122446648190229577321118235502693736387 has 159 digits
--
Run 69 out of 591:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=654456661
Step 1 took 50201ms
Step 2 took 16661ms
********** Factor found in step 2: 587808536906663426464802845172100113
Found probable prime factor of 36 digits: 587808536906663426464802845172100113
Probable prime cofactor 1366276354553679701638209700691686919168842309171423783882401556424902566955768721079634562092800231824212019990178193060499 has 124 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280 / 2080CypDecember 7, 2014 05:16:20 UTC 2014 年 12 月 7 日 (日) 14 時 16 分 20 秒 (日本時間)
4511e669 / 4413CypFebruary 1, 2015 16:07:53 UTC 2015 年 2 月 2 日 (月) 1 時 7 分 53 秒 (日本時間)

10199+6299

c159

name 名前Cyp
date 日付December 10, 2014 15:30:22 UTC 2014 年 12 月 11 日 (木) 0 時 30 分 22 秒 (日本時間)
composite number 合成数
652107485783529962008629746287354931401229931995782352149065477090713961992282425654837226245525755789588712645671821845601043377728303243964257338433818250543<159>
prime factors 素因数
16176785679188824296318116990849371<35>
composite cofactor 合成数の残り
40311313923287974255136089366551965224365340152576139692258907932501974604218544666227909954316774150912132433356811172710333<125>
factorization results 素因数分解の結果
Run 204 out of 280:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1467926118
Step 1 took 13636ms
Step 2 took 4924ms
********** Factor found in step 2: 16176785679188824296318116990849371
Found probable prime factor of 35 digits: 16176785679188824296318116990849371
Composite cofactor 40311313923287974255136089366551965224365340152576139692258907932501974604218544666227909954316774150912132433356811172710333 has 125 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

c125

name 名前Serge Batalov
date 日付December 18, 2014 00:24:57 UTC 2014 年 12 月 18 日 (木) 9 時 24 分 57 秒 (日本時間)
composite number 合成数
40311313923287974255136089366551965224365340152576139692258907932501974604218544666227909954316774150912132433356811172710333<125>
prime factors 素因数
34966097328961212412091956509200885081<38>
3464390050617465480013537404945443829041<40>
332776775436740185828392434483542380631848957973<48>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=1788945166
Step 1 took 29917ms
Step 2 took 19205ms
********** Factor found in step 2: 34966097328961212412091956509200885081
Found probable prime factor of 38 digits: 34966097328961212412091956509200885081

PRP48 = 332776775436740185828392434483542380631848957973
PRP40 = 3464390050617465480013537404945443829041

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 10, 2014 15:30:22 UTC 2014 年 12 月 11 日 (木) 0 時 30 分 22 秒 (日本時間)
4511e61000 / 4413Serge BatalovDecember 18, 2014 00:18:21 UTC 2014 年 12 月 18 日 (木) 9 時 18 分 21 秒 (日本時間)

10200+6299

c183

composite cofactor 合成数の残り
217332280045636994035938687228460180994845215644414525972044792022842841606577869991546409942958091306855301120198752332758621648839847737332904468247507635367558824341442363070063559<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:47:18 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 18 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovNovember 19, 2015 22:58:04 UTC 2015 年 11 月 20 日 (金) 7 時 58 分 4 秒 (日本時間)

10201+6299

c182

composite cofactor 合成数の残り
14231949231767186188288803088262710914959379038035406866668070527562209939193910947840761685213718733690173697837652586967671738428352623664052076867404069801120060375819598907373511<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 7, 2014 06:12:55 UTC 2014 年 12 月 7 日 (日) 15 時 12 分 55 秒 (日本時間)
4511e6591 / 4413CypMay 12, 2015 18:17:27 UTC 2015 年 5 月 13 日 (水) 3 時 17 分 27 秒 (日本時間)

10202+6299

c171

composite cofactor 合成数の残り
494761319471977042219282732922709387619492065127303114289435758566593834661299580981245979312642490589673079715485231792528727506770269263626347607231545735833986891035449<171>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6400300Serge BatalovDecember 10, 2014 19:47:18 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 18 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 15:27:28 UTC 2015 年 2 月 17 日 (火) 0 時 27 分 28 秒 (日本時間)
4511e6556 / 4387CypJune 20, 2015 06:56:10 UTC 2015 年 6 月 20 日 (土) 15 時 56 分 10 秒 (日本時間)

10203+6299

c153

composite cofactor 合成数の残り
786989677128052181015763651584707073230154804674426480830398685889853903164991563416087770810350292296130107106188149638509422069769444073892416556550973<153>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6400300Serge BatalovDecember 10, 2014 19:47:19 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 19 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 15:27:07 UTC 2015 年 2 月 17 日 (火) 0 時 27 分 7 秒 (日本時間)
4511e61156 / 4387556CypMay 10, 2015 21:03:03 UTC 2015 年 5 月 11 日 (月) 6 時 3 分 3 秒 (日本時間)
600Dmitry DomanovNovember 26, 2015 21:33:23 UTC 2015 年 11 月 27 日 (金) 6 時 33 分 23 秒 (日本時間)

10204+6299

c116

name 名前Ignacio Santos
date 日付December 8, 2014 22:29:54 UTC 2014 年 12 月 9 日 (火) 7 時 29 分 54 秒 (日本時間)
composite number 合成数
48237428435718550283957085457564339416004245500587799955820607467240766639941091837675280335151817947620971499860487<116>
prime factors 素因数
609144600622602790834026827779307<33>
79188797514441372292679341145084560231408067597765144293652707623504351939833542741<83>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3716532948
Step 1 took 19203ms
Step 2 took 13157ms
********** Factor found in step 2: 609144600622602790834026827779307
Found probable prime factor of 33 digits: 609144600622602790834026827779307
Probable prime cofactor 79188797514441372292679341145084560231408067597765144293652707623504351939833542741 has 83 digits
software ソフトウェア
GMP-ECM 7.0

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

10206+6299

c180

name 名前Serge Batalov
date 日付December 11, 2014 01:33:17 UTC 2014 年 12 月 11 日 (木) 10 時 33 分 17 秒 (日本時間)
composite number 合成数
580351942283659156394510789781397488693226816905893468150344884559843321480142667577639147861138184886907138654666223291686433397055463959052012756353641028858832362756362199015367<180>
prime factors 素因数
86823553762941706075347702267138348119<38>
6684268463235453762045549401102724019582606868317670550139777011551794260423330098619740352003344827341610989150929608097130281690600363403793<142>
factorization results 素因数分解の結果
Input number is 580351942283659156394510789781397488693226816905893468150344884559843321480142667577639147861138184886907138654666223291686433397055463959052012756353641028858832362756362199015367 (180 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1663329237
Step 1 took 13385ms
Step 2 took 8879ms
********** Factor found in step 2: 86823553762941706075347702267138348119
Found probable prime factor of 38 digits: 86823553762941706075347702267138348119
Probable prime cofactor 6684268463235453762045549401102724019582606868317670550139777011551794260423330098619740352003344827341610989150929608097130281690600363403793 has 142 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:47:19 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 19 秒 (日本時間)

10207+6299

c166

composite cofactor 合成数の残り
5003951711900835965315090227760400664566787904593014812277212992838579655052417453943335849725282343569021935273276799579159287511159416171714909743817893689330731681<166>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6380280CypDecember 8, 2014 09:23:33 UTC 2014 年 12 月 8 日 (月) 18 時 23 分 33 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 15:26:50 UTC 2015 年 2 月 17 日 (火) 0 時 26 分 50 秒 (日本時間)
4511e6600 / 4391Dmitry DomanovNovember 19, 2015 22:58:31 UTC 2015 年 11 月 20 日 (金) 7 時 58 分 31 秒 (日本時間)

10208+6299

c177

composite cofactor 合成数の残り
452954644082906829988158448465654704947662648113692375995433943232661283379078169404472900890976003475618088262721353114053654100354387752146632013802841794197379615395845690681<177>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6380280CypDecember 6, 2014 22:24:58 UTC 2014 年 12 月 7 日 (日) 7 時 24 分 58 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 15:26:36 UTC 2015 年 2 月 17 日 (火) 0 時 26 分 36 秒 (日本時間)
4511e6562 / 4391CypJune 1, 2015 11:30:52 UTC 2015 年 6 月 1 日 (月) 20 時 30 分 52 秒 (日本時間)

10210+6299

c159

name 名前Dmitry Domanov
date 日付November 27, 2015 10:50:12 UTC 2015 年 11 月 27 日 (金) 19 時 50 分 12 秒 (日本時間)
composite number 合成数
309542340593236550524850955241725801600102518278875370048722284508528974445367679674499170279739902379809192215725487108429001959238180503644677757014323795403<159>
prime factors 素因数
3985769688050128726857786711292926821351043195947<49>
1188288766977555032050600327016673153232602480986454977<55>
65356061150717157144937647583387091116819256086841192737<56>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2657858486
Step 1 took 89399ms
Step 2 took 26397ms
********** Factor found in step 2: 3985769688050128726857786711292926821351043195947
Found probable prime factor of 49 digits: 3985769688050128726857786711292926821351043195947
Composite cofactor 77661873319295377131676345836322455383206882739851684859017375331419472670706656719499690134086226544029902049 has 110 digits

N=77661873319295377131676345836322455383206882739851684859017375331419472670706656719499690134086226544029902049
  ( 110 digits)
Divisors found:
 r1=1188288766977555032050600327016673153232602480986454977 (pp55)
 r2=65356061150717157144937647583387091116819256086841192737 (pp56)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 16.24 hours.
Scaled time: 27.87 units (timescale=1.716).
Factorization parameters were as follows:
n: 77661873319295377131676345836322455383206882739851684859017375331419472670706656719499690134086226544029902049
skew: 15828.40
c0: -312028449428911372906320
c1: -289850888543406606798
c2: 213151076260664105
c3: -64932756795122
c4: -780496204
c5: 10488
Y0: -1492462870467532210321
Y1: 115179931621
rlim: 3200000
alim: 3200000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 160000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1600000, 2560001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 277002 x 277227
Total sieving time: 16.05 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,109,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,26,26,52,52,2.5,2.5,100000
total time: 16.24 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
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6400300Serge BatalovDecember 10, 2014 19:47:20 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 20 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 15:26:18 UTC 2015 年 2 月 17 日 (火) 0 時 26 分 18 秒 (日本時間)
4511e61156 / 4387556CypMay 17, 2015 12:34:05 UTC 2015 年 5 月 17 日 (日) 21 時 34 分 5 秒 (日本時間)
600Dmitry DomanovNovember 26, 2015 21:33:42 UTC 2015 年 11 月 27 日 (金) 6 時 33 分 42 秒 (日本時間)

10211+6299

c166

composite cofactor 合成数の残り
4922315635017372960448530193086279807884692879172893703053072475458792343972371458075017823042061109226362000850001245929181584713554265286867221576131601495430719127<166>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:47:20 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 20 秒 (日本時間)
4511e6585 / 4409CypFebruary 3, 2015 19:23:03 UTC 2015 年 2 月 4 日 (水) 4 時 23 分 3 秒 (日本時間)

10212+6299

c171

composite cofactor 合成数の残り
227786230601978681575308014603025185642793482721881592387106646977152379434742453671028581738137277686295735640679620528415177472372596795794210099594801731030921429131429<171>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 10, 2014 01:53:16 UTC 2014 年 12 月 10 日 (水) 10 時 53 分 16 秒 (日本時間)
4511e6591 / 4413CypFebruary 5, 2015 08:00:48 UTC 2015 年 2 月 5 日 (木) 17 時 0 分 48 秒 (日本時間)

10213+6299

c145

composite cofactor 合成数の残り
2999748362901717225171871209683507457446173077463564078225751580138535184215799866657507425786176829594929449369735374574244932372475189899391389<145>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62600280CypDecember 6, 2014 17:34:21 UTC 2014 年 12 月 7 日 (日) 2 時 34 分 21 秒 (日本時間)
2320Serge BatalovDecember 9, 2014 19:25:57 UTC 2014 年 12 月 10 日 (水) 4 時 25 分 57 秒 (日本時間)
4511e6800 / 3900Dmitry DomanovMarch 1, 2016 13:20:50 UTC 2016 年 3 月 1 日 (火) 22 時 20 分 50 秒 (日本時間)

10214+6299

c193

composite cofactor 合成数の残り
5705208200526307594376276681421665043025329371023287685300279930697392731277885682947775708575117314042205496299201131464840710400985627870824378397899992233015416645272844432939976576661585187<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6400300Serge BatalovDecember 10, 2014 19:47:21 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 21 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 15:25:35 UTC 2015 年 2 月 17 日 (火) 0 時 25 分 35 秒 (日本時間)
4511e6556 / 4387329CypJanuary 7, 2015 22:37:13 UTC 2015 年 1 月 8 日 (木) 7 時 37 分 13 秒 (日本時間)
227CypJune 11, 2015 06:21:10 UTC 2015 年 6 月 11 日 (木) 15 時 21 分 10 秒 (日本時間)

10215+6299

c184

composite cofactor 合成数の残り
6837689073811826781978955648083599499717255523564108318327526520266685329332087203996283501500503927249055820143324530447468245072620249969199826867751463205429434973780558860877973113<184>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6400300Serge BatalovDecember 10, 2014 19:47:21 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 21 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 15:25:22 UTC 2015 年 2 月 17 日 (火) 0 時 25 分 22 秒 (日本時間)
4511e6556 / 4387CypMay 20, 2015 16:51:09 UTC 2015 年 5 月 21 日 (木) 1 時 51 分 9 秒 (日本時間)

10217+6299

c209

composite cofactor 合成数の残り
21033139349526734698650356661783423737026394198415712010857070961064985752014689224817991358707169989607168284029898430906981717349560013331729177861423628331336667931452435171757804300608563809689286245274829<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6380280CypDecember 9, 2014 14:06:42 UTC 2014 年 12 月 9 日 (火) 23 時 6 分 42 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 15:25:05 UTC 2015 年 2 月 17 日 (火) 0 時 25 分 5 秒 (日本時間)
4511e6562 / 4391335CypJanuary 7, 2015 23:28:49 UTC 2015 年 1 月 8 日 (木) 8 時 28 分 49 秒 (日本時間)
227CypJuly 4, 2015 13:53:11 UTC 2015 年 7 月 4 日 (土) 22 時 53 分 11 秒 (日本時間)

10219+6299

c209

composite cofactor 合成数の残り
37359565918017058746238205672507765720111251388099388329120967370147244335492189436155709370320520916266094159951344374809654389281696312566957609632407107379894103280028552628073307584771564290302166097272119<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6400300Serge BatalovDecember 10, 2014 19:47:22 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 22 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 15:24:44 UTC 2015 年 2 月 17 日 (火) 0 時 24 分 44 秒 (日本時間)
4511e6556 / 4387CypMay 27, 2015 10:56:23 UTC 2015 年 5 月 27 日 (水) 19 時 56 分 23 秒 (日本時間)

10220+6299

c150

name 名前Erik Branger
date 日付October 31, 2017 07:42:19 UTC 2017 年 10 月 31 日 (火) 16 時 42 分 19 秒 (日本時間)
composite number 合成数
197927855373262166296940704470955087202073234800903068090611656723403074017402693648962868510770850750230904319973604917494578919699347012857141419603<150>
prime factors 素因数
561716112891133896955412658064573700706449383<45>
352362787591287291130158177793583406207017148162580635964935339458716082077762378652017146911265722460341<105>
factorization results 素因数分解の結果
Number: 11181_220
N = 197927855373262166296940704470955087202073234800903068090611656723403074017402693648962868510770850750230904319973604917494578919699347012857141419603 (150 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=561716112891133896955412658064573700706449383 (pp45)
r2=352362787591287291130158177793583406207017148162580635964935339458716082077762378652017146911265722460341 (pp105)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 66.26 hours.
Factorization parameters were as follows:
n: 197927855373262166296940704470955087202073234800903068090611656723403074017402693648962868510770850750230904319973604917494578919699347012857141419603
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 1
c0: 629
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 67108864
lpbr: 29
lpba: 26
mfbr: 58
mfba: 52
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: 29/26
Total raw relations: 26420914
Relations: 7545938 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 40.04 hours.
Total relation processing time: 0.25 hours.
Pruned matrix : 6475809 x 6476034
Matrix solve time: 24.87 hours.
time per square root: 1.11 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,67108864,29,26,58,52,2.8,2.8,100000
total time: 66.26 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.15063-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 9, 2014 00:57:28 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 28 秒 (日本時間)
4511e6800 / 3962Dmitry DomanovMarch 1, 2016 13:17:02 UTC 2016 年 3 月 1 日 (火) 22 時 17 分 2 秒 (日本時間)

10221+6299

c159

name 名前Serge Batalov
date 日付December 11, 2014 01:33:20 UTC 2014 年 12 月 11 日 (木) 10 時 33 分 20 秒 (日本時間)
composite number 合成数
274143900510130315212098471847371469563927383818186664268913823066102332268455204472006995178256344803500096358761955247216985623702048584115823496393665650051<159>
prime factors 素因数
6185394179568277922338290493631339<34>
composite cofactor 合成数の残り
44321168958914230808073834038201208059175899357522051519711554974297319811413675229404095813407337757908310784723575267112009<125>
factorization results 素因数分解の結果
Input number is 274143900510130315212098471847371469563927383818186664268913823066102332268455204472006995178256344803500096358761955247216985623702048584115823496393665650051 (159 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1156010914
Step 1 took 9959ms
********** Factor found in step 1: 6185394179568277922338290493631339
Found probable prime factor of 34 digits: 6185394179568277922338290493631339
Composite cofactor 44321168958914230808073834038201208059175899357522051519711554974297319811413675229404095813407337757908310784723575267112009 has 125 digits

c125

name 名前Maksym Voznyy
date 日付February 3, 2015 12:00:57 UTC 2015 年 2 月 3 日 (火) 21 時 0 分 57 秒 (日本時間)
composite number 合成数
44321168958914230808073834038201208059175899357522051519711554974297319811413675229404095813407337757908310784723575267112009<125>
prime factors 素因数
21390949585413314181751856160576154189696288795716393851<56>
2071958927393164663913393755778719537977064921181136987739253082894859<70>
factorization results 素因数分解の結果
Number: example7
N = 44321168958914230808073834038201208059175899357522051519711554974297319811413675229404095813407337757908310784723575267112009 (125 digits)
Divisors found:
r1=21390949585413314181751856160576154189696288795716393851 (pp56)
r2=2071958927393164663913393755778719537977064921181136987739253082894859 (pp70)
Version: Msieve v. 1.51 (SVN 845)
Total time: 21.55 hours.
Factorization parameters were as follows:
# Murphy_E = 1.499e-10, selected by Maksym Voznyy
n: 44321168958914230808073834038201208059175899357522051519711554974297319811413675229404095813407337757908310784723575267112009
Y0: -1782935829682819009862909
Y1: 10683545306597
c0: -42204963234411424754126964298800
c1: 694189658036553075323753220
c2: 1057252481240797815656
c3: -4013848391432563
c4: -2329036488
c5: 2460
skew: 683597.07
type: gnfs
# selected mechanically
rlim: 7000000
alim: 7000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10728353
Relations: 1507488 relations
Pruned matrix : 909742 x 909967
Polynomial selection time: 0.00 hours.
Total sieving time: 19.73 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.42 hours.
time per square root: 0.30 hours.
Prototype def-par.txt line would be: gnfs,124,5,65,2000,1e-05,0.28,250,20,50000,3600,7000000,7000000,27,27,52,52,2.5,2.5,100000
total time: 21.55 hours.
x86 Family 6 Model 15 Stepping 6, GenuineIntel
Windows-XP-5.1.2600-SP3
processors: 4, speed: 2.66GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:47:22 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 22 秒 (日本時間)
4511e61000 / 4128Serge BatalovDecember 18, 2014 00:18:22 UTC 2014 年 12 月 18 日 (木) 9 時 18 分 22 秒 (日本時間)
5043e680 / 7317Pierre JammesJanuary 8, 2015 15:45:14 UTC 2015 年 1 月 9 日 (金) 0 時 45 分 14 秒 (日本時間)

10222+6299

c176

name 名前Cyp
date 日付December 7, 2014 03:16:16 UTC 2014 年 12 月 7 日 (日) 12 時 16 分 16 秒 (日本時間)
composite number 合成数
83345738810228263332201177725138222318717024461685576336089246177572528832393457467135111516649901602289598722809603637607884068473925567108300570611139469071673022668215335747<176>
prime factors 素因数
5908380057601279470495785774053<31>
composite cofactor 合成数の残り
14106360457127647905117958635086264225650215493853965441515413813477568390829357061003108391300566009491236516016607908136153522572662357302126599<146>
factorization results 素因数分解の結果
Run 58 out of 280:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3783695480
Step 1 took 16054ms
Step 2 took 5522ms
********** Factor found in step 2: 5908380057601279470495785774053
Found probable prime factor of 31 digits: 5908380057601279470495785774053
Composite cofactor 14106360457127647905117958635086264225650215493853965441515413813477568390829357061003108391300566009491236516016607908136153522572662357302126599 has 146 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

c146

name 名前Erik Branger
date 日付September 20, 2018 15:12:47 UTC 2018 年 9 月 21 日 (金) 0 時 12 分 47 秒 (日本時間)
composite number 合成数
14106360457127647905117958635086264225650215493853965441515413813477568390829357061003108391300566009491236516016607908136153522572662357302126599<146>
prime factors 素因数
133162621891646227831522946193074402936803679030923127<54>
105933333669307924911311891149685137311100898571874324054316887351580519110431556855480266737<93>
factorization results 素因数分解の結果
Number: 11181_222
N = 14106360457127647905117958635086264225650215493853965441515413813477568390829357061003108391300566009491236516016607908136153522572662357302126599 (146 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=133162621891646227831522946193074402936803679030923127 (pp54)
r2=105933333669307924911311891149685137311100898571874324054316887351580519110431556855480266737 (pp93)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 50.93 hours.
Factorization parameters were as follows:
n: 14106360457127647905117958635086264225650215493853965441515413813477568390829357061003108391300566009491236516016607908136153522572662357302126599
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 100
c0: 629
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: 6
Number of threads per core: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30836577
Relations: 10191094 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 19.81 hours.
Total relation processing time: 0.26 hours.
Pruned matrix : 8735725 x 8735950
Matrix solve time: 30.68 hours.
time per square root: 0.17 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000
total time: 50.93 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62600280CypDecember 7, 2014 03:16:16 UTC 2014 年 12 月 7 日 (日) 12 時 16 分 16 秒 (日本時間)
2320Serge BatalovDecember 9, 2014 19:25:58 UTC 2014 年 12 月 10 日 (水) 4 時 25 分 58 秒 (日本時間)
4511e6800 / 3900Dmitry DomanovMarch 1, 2016 13:20:13 UTC 2016 年 3 月 1 日 (火) 22 時 20 分 13 秒 (日本時間)

10223+6299

c206

composite cofactor 合成数の残り
25339927173560736270776915614361037655949349162570649004919492669486941399538204850100931284194849679792751966851528368097342068577716182037216572228730774025790091484504705888737829893565212607323612775143<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6380280CypDecember 8, 2014 17:49:27 UTC 2014 年 12 月 9 日 (火) 2 時 49 分 27 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 15:23:57 UTC 2015 年 2 月 17 日 (火) 0 時 23 分 57 秒 (日本時間)
4511e6562 / 4391CypMay 28, 2015 01:26:35 UTC 2015 年 5 月 28 日 (木) 10 時 26 分 35 秒 (日本時間)

10224+6299

c188

composite cofactor 合成数の残り
29549881150515890973152617484366863675845997033842055437226189980038270871210767777340233648264991805757553479343207734133058235424584235813537081833592334699705148485620799444338248729039<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6400300Serge BatalovDecember 10, 2014 19:47:22 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 22 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 15:23:31 UTC 2015 年 2 月 17 日 (火) 0 時 23 分 31 秒 (日本時間)
4511e6556 / 4387CypJune 24, 2015 18:41:15 UTC 2015 年 6 月 25 日 (木) 3 時 41 分 15 秒 (日本時間)

10225+6299

c210

composite cofactor 合成数の残り
815003715678130166679540922392004564609463719546312213762009467605723347399163572287182855060285407199368511031733707107746685782001653358062636101265264156414783454059918512158004003372566414754428275540397711<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6380280CypDecember 9, 2014 16:58:29 UTC 2014 年 12 月 10 日 (水) 1 時 58 分 29 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 15:23:17 UTC 2015 年 2 月 17 日 (火) 0 時 23 分 17 秒 (日本時間)
4511e6600 / 4391Dmitry DomanovNovember 21, 2015 20:15:55 UTC 2015 年 11 月 22 日 (日) 5 時 15 分 55 秒 (日本時間)

10226+6299

c179

composite cofactor 合成数の残り
59231262148915698409782725206159010220931219627350263611209636699611994698247353738893627870626828393437457107014823670908639824352282351617282641665278136052326516819799527311729<179>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6400300Serge BatalovDecember 10, 2014 19:47:23 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 23 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 15:23:02 UTC 2015 年 2 月 17 日 (火) 0 時 23 分 2 秒 (日本時間)
4511e6600 / 4387Dmitry DomanovNovember 19, 2015 22:58:52 UTC 2015 年 11 月 20 日 (金) 7 時 58 分 52 秒 (日本時間)

10228+6299

c213

name 名前Serge Batalov
date 日付June 10, 2015 04:32:23 UTC 2015 年 6 月 10 日 (水) 13 時 32 分 23 秒 (日本時間)
composite number 合成数
315915540974734497034038739604435486729786224738873762249698896111983222526331947656280627375786418710133037260797722058129258196845596770097644618150754821623737008112323729648784733010855846682915099621960934587<213>
prime factors 素因数
935011616373515083955089067484802901<36>
337873386215272100764629588999109945445052525237322155133074424366395124878356423634845040195824415547267361450478904648715579535641970076356534041964935697977614986042786702287<177>
factorization results 素因数分解の結果
Using B1=5000000, B2=30297724528, polynomial x^1, x0=688536151
Step 1 took 2520ms
Step 2 took 4220ms
********** Factor found in step 2: 935011616373515083955089067484802901
Found probable prime factor of 36 digits: 935011616373515083955089067484802901
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6400 / 2318300Serge BatalovDecember 10, 2014 19:47:23 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 23 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 15:22:47 UTC 2015 年 2 月 17 日 (火) 0 時 22 分 47 秒 (日本時間)

10229+6299

c221

composite cofactor 合成数の残り
51720888699962826645664675717604961427621485786073125609520975662430668989162141205277419494251530960286896597152912998808728286840366202718399223599120204926022604335113519773586223859933130373325150261206780014752762851<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6380280CypDecember 9, 2014 09:39:28 UTC 2014 年 12 月 9 日 (火) 18 時 39 分 28 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 15:10:49 UTC 2015 年 2 月 17 日 (火) 0 時 10 分 49 秒 (日本時間)
4511e6562 / 4391CypMay 14, 2015 10:15:42 UTC 2015 年 5 月 14 日 (木) 19 時 15 分 42 秒 (日本時間)

10231+6299

c195

composite cofactor 合成数の残り
561811133934847187419898948050423133611707057320888379832304976780396132227421139373531319918793988626126450351116909651225746318506595438867242865234337220276494042942642680089933449126653477257<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6400300Serge BatalovDecember 10, 2014 19:47:24 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 24 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 15:10:27 UTC 2015 年 2 月 17 日 (火) 0 時 10 分 27 秒 (日本時間)
4511e6556 / 4387CypMay 21, 2015 06:32:32 UTC 2015 年 5 月 21 日 (木) 15 時 32 分 32 秒 (日本時間)

10232+6299

c207

composite cofactor 合成数の残り
699159204999012285505721456359939742005088462486275999358855725180195491307602930011508491789703520302076353706159731984296116076324673287387953483830700533861081591900401722469725053332812829204873467012501<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6380280CypDecember 8, 2014 23:11:00 UTC 2014 年 12 月 9 日 (火) 8 時 11 分 0 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 15:10:10 UTC 2015 年 2 月 17 日 (火) 0 時 10 分 10 秒 (日本時間)
4511e6562 / 4391CypMay 26, 2015 03:30:13 UTC 2015 年 5 月 26 日 (火) 12 時 30 分 13 秒 (日本時間)

10233+6299

c197

name 名前Cyp
date 日付January 8, 2015 00:15:48 UTC 2015 年 1 月 8 日 (木) 9 時 15 分 48 秒 (日本時間)
composite number 合成数
24952461915027394216364718507215884798554054528717005311162496577034086134819439305711201108397799389956304414488801969568159693513147759265361556152119866330553770249722097557794468719866160927257<197>
prime factors 素因数
673954258931972588505910756177683668826461<42>
37023969482098100404567675876156223820713237052788733088774829885690199290921634733410894835836083543003874411212500736511565777886511995932831167740896237<155>
factorization results 素因数分解の結果
Run 123 out of 335:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=744456748
Step 1 took 69007ms
Step 2 took 20653ms
********** Factor found in step 2: 673954258931972588505910756177683668826461
Found probable prime factor of 42 digits: 673954258931972588505910756177683668826461
Probable prime cofactor 37023969482098100404567675876156223820713237052788733088774829885690199290921634733410894835836083543003874411212500736511565777886511995932831167740896237 has 155 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280 / 1894CypDecember 9, 2014 19:46:52 UTC 2014 年 12 月 10 日 (水) 4 時 46 分 52 秒 (日本時間)
4511e6123 / 4413CypJanuary 8, 2015 00:15:47 UTC 2015 年 1 月 8 日 (木) 9 時 15 分 47 秒 (日本時間)

10234+6299

c185

composite cofactor 合成数の残り
32660052088023464889374996687205919281850297470690249778382485235346206850396027422044582056876442780693085953874211662541261334640968869370272327741452477164812944341249607672416842653<185>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6400300Serge BatalovDecember 10, 2014 19:47:25 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 25 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 15:09:53 UTC 2015 年 2 月 17 日 (火) 0 時 9 分 53 秒 (日本時間)
4511e6556 / 4387CypJune 2, 2015 18:27:19 UTC 2015 年 6 月 3 日 (水) 3 時 27 分 19 秒 (日本時間)

10235+6299

c194

composite cofactor 合成数の残り
31022590207114716934234948096373197568903877329885006875030884574003072803690789094968362381000770579653941807550829732357189760616732507291725359417615110193167823444949389828442123893621006837<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6380280CypDecember 9, 2014 10:47:35 UTC 2014 年 12 月 9 日 (火) 19 時 47 分 35 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 15:09:37 UTC 2015 年 2 月 17 日 (火) 0 時 9 分 37 秒 (日本時間)
4511e6600 / 4391Dmitry DomanovNovember 21, 2015 20:16:15 UTC 2015 年 11 月 22 日 (日) 5 時 16 分 15 秒 (日本時間)

10237+6299

c193

composite cofactor 合成数の残り
1676032559920889356685574731404048138865786246594372413597613172284449387013647779595392162669750149821186903135532965512628414463151605948219268820518498596006767819542819362714531158351757207<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6400300Serge BatalovDecember 10, 2014 19:47:25 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 25 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 15:08:31 UTC 2015 年 2 月 17 日 (火) 0 時 8 分 31 秒 (日本時間)
4511e6556 / 4387CypJune 21, 2015 07:28:51 UTC 2015 年 6 月 21 日 (日) 16 時 28 分 51 秒 (日本時間)

10238+6299

c214

composite cofactor 合成数の残り
1088232310345410705955725366768287766441514301042990126608775782873497265752473889455960257484685374729154818338122247072713407996728359216382634569115584470437841863411021199549008657201650935446712493479428382211<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6380280CypDecember 9, 2014 14:32:10 UTC 2014 年 12 月 9 日 (火) 23 時 32 分 10 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 15:08:10 UTC 2015 年 2 月 17 日 (火) 0 時 8 分 10 秒 (日本時間)
4511e6600 / 4391Dmitry DomanovNovember 21, 2015 20:16:35 UTC 2015 年 11 月 22 日 (日) 5 時 16 分 35 秒 (日本時間)

10239+6299

c211

composite cofactor 合成数の残り
3987689299667427321208924831799713730775106292011703326227974871894367686153005837231933964186102310308531557999143958441306554264403718841250123149175612917050170718461235390751076998336387079755966684365592907<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6380280CypDecember 10, 2014 10:17:06 UTC 2014 年 12 月 10 日 (水) 19 時 17 分 6 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 15:07:49 UTC 2015 年 2 月 17 日 (火) 0 時 7 分 49 秒 (日本時間)
4511e6562 / 4391CypJuly 7, 2015 05:41:25 UTC 2015 年 7 月 7 日 (火) 14 時 41 分 25 秒 (日本時間)

10241+6299

c201

composite cofactor 合成数の残り
678676950170823239330276065404238825824664089068968477168069750485179330132550119279955956772574574238958221710287226714906467043649735764738512806493072797098890179173586154412737840765175187208808629<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6380280CypDecember 10, 2014 09:39:38 UTC 2014 年 12 月 10 日 (水) 18 時 39 分 38 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 15:07:23 UTC 2015 年 2 月 17 日 (火) 0 時 7 分 23 秒 (日本時間)
4511e6562 / 4391CypJune 3, 2015 05:59:17 UTC 2015 年 6 月 3 日 (水) 14 時 59 分 17 秒 (日本時間)

10242+6299

c232

composite cofactor 合成数の残り
9639622144845727156072868307143482004509449363621223917485020292035528169635816375752755767732160389586053883525355411367109312900522402096135141343908941195689976141832047549875439439080960128995603581664573929280057128657687494943<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6680280CypDecember 10, 2014 19:24:38 UTC 2014 年 12 月 11 日 (木) 4 時 24 分 38 秒 (日本時間)
300Serge BatalovDecember 10, 2014 19:47:25 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 25 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 15:06:56 UTC 2015 年 2 月 17 日 (火) 0 時 6 分 56 秒 (日本時間)
4511e6475 / 432557CypJanuary 8, 2015 17:40:13 UTC 2015 年 1 月 9 日 (金) 2 時 40 分 13 秒 (日本時間)
418CypJuly 6, 2015 06:04:04 UTC 2015 年 7 月 6 日 (月) 15 時 4 分 4 秒 (日本時間)

10244+6299

c205

name 名前Cyp
date 日付December 9, 2014 09:02:03 UTC 2014 年 12 月 9 日 (火) 18 時 2 分 3 秒 (日本時間)
composite number 合成数
4242599358365272902877642563986544554125471737709606683658513502746129443696623740451479284422035669307895739487698196546159977103529894784620574513008210692448107618019728196176564397665504178544018382651<205>
prime factors 素因数
502247550411944085877659085943<30>
8447227577089201252316867561941133364555104021056431001237753196804918765287798385188412019814253825881635369015311630066972556831256791446332602436440842973550515296141707357<175>
factorization results 素因数分解の結果
Run 25 out of 280:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1671018971
Step 1 took 18791ms
Step 2 took 6299ms
********** Factor found in step 2: 502247550411944085877659085943
Found probable prime factor of 30 digits: 502247550411944085877659085943
Probable prime cofactor 8447227577089201252316867561941133364555104021056431001237753196804918765287798385188412019814253825881635369015311630066972556831256791446332602436440842973550515296141707357 has 175 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 834Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e625 / 2318CypDecember 9, 2014 09:02:03 UTC 2014 年 12 月 9 日 (火) 18 時 2 分 3 秒 (日本時間)

10245+6299

c209

composite cofactor 合成数の残り
42126815310079948427556137593446855860763167721364791693901148942076391539694759510533525410694356929688738227139087047983372374825539711602583695008462336251699940789577477607324829699103798955306208640673253<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:47:26 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 26 秒 (日本時間)
4511e6585 / 4409CypFebruary 6, 2015 22:53:41 UTC 2015 年 2 月 7 日 (土) 7 時 53 分 41 秒 (日本時間)

10246+6299

c213

name 名前Cyp
date 日付December 9, 2014 03:43:52 UTC 2014 年 12 月 9 日 (火) 12 時 43 分 52 秒 (日本時間)
composite number 合成数
812185416568827394687560485197498119810562237107598387988389704926072273639453492746553249634298276299597182740455412534387736601133563165995602729037514270924385464738618320984697539472376609793597229116078514683<213>
prime factors 素因数
90853556179224066223983482648953<32>
8939500562494810372261631644356693513164399697770218747621232999103184905011825726700601724716361563697051989377719528303730339065598224901556436113013435689561775470657355883515411<181>
factorization results 素因数分解の結果
Run 140 out of 280:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=964211435
Step 1 took 21832ms
Step 2 took 6752ms
********** Factor found in step 2: 90853556179224066223983482648953
Found probable prime factor of 32 digits: 90853556179224066223983482648953
Probable prime cofactor 8939500562494810372261631644356693513164399697770218747621232999103184905011825726700601724716361563697051989377719528303730339065598224901556436113013435689561775470657355883515411 has 181 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 511Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6140 / 2318CypDecember 9, 2014 03:43:52 UTC 2014 年 12 月 9 日 (火) 12 時 43 分 52 秒 (日本時間)

10248+6299

c214

composite cofactor 合成数の残り
8192165584981043618105916332690115585002503880370134577485385783384839285164725295641519409926738807002558842380559192444221853785976055599197276097147702994684622559920183548713770905974607168032076923390536006419<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6380280CypDecember 9, 2014 03:23:39 UTC 2014 年 12 月 9 日 (火) 12 時 23 分 39 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 15:05:44 UTC 2015 年 2 月 17 日 (火) 0 時 5 分 44 秒 (日本時間)
4511e6562 / 4391CypMay 18, 2015 09:25:55 UTC 2015 年 5 月 18 日 (月) 18 時 25 分 55 秒 (日本時間)

10249+6299

c230

composite cofactor 合成数の残り
23847521031663067007363166048790060080994629657872120270892553353602893898595087095135103381197529246179941591698613439643675339975857007499516402617668035814731660442564780900571387840399443811564866326232541178207258918346023969<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6380280CypDecember 8, 2014 13:35:12 UTC 2014 年 12 月 8 日 (月) 22 時 35 分 12 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 15:05:24 UTC 2015 年 2 月 17 日 (火) 0 時 5 分 24 秒 (日本時間)
4511e6600 / 4391Dmitry DomanovNovember 21, 2015 20:16:54 UTC 2015 年 11 月 22 日 (日) 5 時 16 分 54 秒 (日本時間)

10250+6299

c188

name 名前Dmitry Domanov
date 日付June 22, 2015 06:53:54 UTC 2015 年 6 月 22 日 (月) 15 時 53 分 54 秒 (日本時間)
composite number 合成数
16652573509140927207719295442849974823672506228185090301142199330989335834493732551211038660257773955599855314285975670327157349607626666432908952499469329613982395589971151380744376254603<188>
prime factors 素因数
77474507994910444055140607423486662807171<41>
composite cofactor 合成数の残り
214942617128138324963966833501682984083110806196721270456392180967177426889689259080258524459467845146262206681048686648133105119953374901056808793<147>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=809257688
Step 1 took 425451ms
********** Factor found in step 1: 77474507994910444055140607423486662807171
Found probable prime factor of 41 digits: 77474507994910444055140607423486662807171
Composite cofactor 214942617128138324963966833501682984083110806196721270456392180967177426889689259080258524459467845146262206681048686648133105119953374901056808793 has 147 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e61380280CypDecember 7, 2014 16:50:22 UTC 2014 年 12 月 8 日 (月) 1 時 50 分 22 秒 (日本時間)
1000Dmitry DomanovDecember 16, 2014 09:09:21 UTC 2014 年 12 月 16 日 (火) 18 時 9 分 21 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 15:05:01 UTC 2015 年 2 月 17 日 (火) 0 時 5 分 1 秒 (日本時間)
4511e62488600Dmitry DomanovApril 23, 2015 12:47:54 UTC 2015 年 4 月 23 日 (木) 21 時 47 分 54 秒 (日本時間)
1888Ignacio SantosJanuary 26, 2016 10:45:51 UTC 2016 年 1 月 26 日 (火) 19 時 45 分 51 秒 (日本時間)
5043e6480 / 6942Dmitry DomanovJune 22, 2015 00:05:34 UTC 2015 年 6 月 22 日 (月) 9 時 5 分 34 秒 (日本時間)

10251+6299

c225

name 名前Dmitry Domanov
date 日付November 17, 2015 16:16:39 UTC 2015 年 11 月 18 日 (水) 1 時 16 分 39 秒 (日本時間)
composite number 合成数
376528024259607266837228003015417669187317505098130012233913082214690387441765981008033847259337054889540249231309735559343598715643972834531237418247476018385122888073665892783083681691052364757049930356406221323461590677023<225>
prime factors 素因数
62368095058551433955032573081021<32>
composite cofactor 合成数の残り
6037189750723044368659458129936937821953275301711025024710986902455395557964693184215121379586446234527912255299758986232526801600314514204140897898865274150429971965807793666548926982313898763<193>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3347013937
Step 1 took 40090ms
Step 2 took 12039ms
********** Factor found in step 2: 62368095058551433955032573081021
Found probable prime factor of 32 digits: 62368095058551433955032573081021

c193

name 名前Dmitry Domanov
date 日付November 22, 2015 09:03:50 UTC 2015 年 11 月 22 日 (日) 18 時 3 分 50 秒 (日本時間)
composite number 合成数
6037189750723044368659458129936937821953275301711025024710986902455395557964693184215121379586446234527912255299758986232526801600314514204140897898865274150429971965807793666548926982313898763<193>
prime factors 素因数
1613072656379980150904559125320447647851<40>
3742664489937833371212849694156868543486089196904415994739106668058409988722693791053404338399086915505302280334451005101687529910310447884510665897631713<154>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=930598543
Step 1 took 135798ms
Step 2 took 37813ms
********** Factor found in step 2: 1613072656379980150904559125320447647851
Found probable prime factor of 40 digits: 1613072656379980150904559125320447647851

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 17, 2015 12:17:27 UTC 2015 年 11 月 17 日 (火) 21 時 17 分 27 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovNovember 21, 2015 20:20:31 UTC 2015 年 11 月 22 日 (日) 5 時 20 分 31 秒 (日本時間)

10252+6299

c231

composite cofactor 合成数の残り
577917941190169973659158099459599369458615788641551708575934781061734219914561287722971719499091819120352428838037865321686174797598001460567263981125641395539781339687375118061220748946452767586431585936985976991802456452642419093<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 17, 2015 12:17:41 UTC 2015 年 11 月 17 日 (火) 21 時 17 分 41 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovNovember 21, 2015 20:18:09 UTC 2015 年 11 月 22 日 (日) 5 時 18 分 9 秒 (日本時間)

10253+6299

c220

composite cofactor 合成数の残り
2827197174670011648728194740855557489655374049982592180904051470679070982086404362117752455784963450223703147152163130427484007636684344317635234181820312980071222969492752755031339696234470045707632142139360527768059497<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 17, 2015 12:17:52 UTC 2015 年 11 月 17 日 (火) 21 時 17 分 52 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovNovember 21, 2015 20:18:23 UTC 2015 年 11 月 22 日 (日) 5 時 18 分 23 秒 (日本時間)

10254+6299

c240

name 名前Dmitry Domanov
date 日付November 24, 2015 12:29:31 UTC 2015 年 11 月 24 日 (火) 21 時 29 分 31 秒 (日本時間)
composite number 合成数
116985597142561793695756279565796864506159905854141578342851782190681900591959002027367803829165276994306923610942279838416112747753190863704450212036949024191179950096205518910527719329155288094767593055929037129804909401666149573845318597<240>
prime factors 素因数
3883638139336408601847915084878969436923<40>
composite cofactor 合成数の残り
30122682120572373006986101615328473862964976555459197529168170689656602777219592621347915409110030153085818814188140137449100343710338770549384965070387084716642404934639570210298371256754191091378239<200>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3061471469
Step 1 took 95913ms
Step 2 took 29171ms
********** Factor found in step 2: 3883638139336408601847915084878969436923
Found probable prime factor of 40 digits: 3883638139336408601847915084878969436923

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 17, 2015 12:18:04 UTC 2015 年 11 月 17 日 (火) 21 時 18 分 4 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovNovember 23, 2015 22:04:40 UTC 2015 年 11 月 24 日 (火) 7 時 4 分 40 秒 (日本時間)

10256+6299

c225

name 名前Dmitry Domanov
date 日付November 22, 2015 09:04:41 UTC 2015 年 11 月 22 日 (日) 18 時 4 分 41 秒 (日本時間)
composite number 合成数
867463494456165691678845941055981991237008720923417601692830257853169627801092961903662804219065492937709688950338965158591347119123916638595956072090727221164437504657143150613567123225492003535551397641938286900851994909733<225>
prime factors 素因数
239389386253995468284530891524774323621798449<45>
3623650605527576979659177963037896781977384955290590149413169640444921655824403344995743090634641261845035034608126610217737205519503356306650002535223624409904908264546965848868917<181>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2707492398
Step 1 took 105659ms
Step 2 took 32499ms
********** Factor found in step 2: 239389386253995468284530891524774323621798449
Found probable prime factor of 45 digits: 239389386253995468284530891524774323621798449

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 17, 2015 12:18:19 UTC 2015 年 11 月 17 日 (火) 21 時 18 分 19 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovNovember 21, 2015 20:18:37 UTC 2015 年 11 月 22 日 (日) 5 時 18 分 37 秒 (日本時間)

10259+6299

c251

name 名前Dmitry Domanov
date 日付November 17, 2015 15:57:56 UTC 2015 年 11 月 18 日 (水) 0 時 57 分 56 秒 (日本時間)
composite number 合成数
56569228038155469130220343422392927787519281692088340339347372016830951907427535681563850425915091975936151850996336559821480640372486191493862807278601915061835851453121762383978422505189420561001220577262610869110782025283921945484992967285285682493<251>
prime factors 素因数
324630932818601573353888526766349787<36>
7951867254332107117689748375806059023<37>
21913978492513110823210375823613831094253688150667878761545532787861785602582332609921230186584818968295563017096154475265588352848675960706722019809942670852369757383171435509193<179>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1799611970
Step 1 took 37878ms
Step 2 took 12881ms
********** Factor found in step 2: 324630932818601573353888526766349787
Found probable prime factor of 36 digits: 324630932818601573353888526766349787

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1052687793
Step 1 took 29371ms
Step 2 took 9509ms
********** Factor found in step 2: 7951867254332107117689748375806059023
Found probable prime factor of 37 digits: 7951867254332107117689748375806059023

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 17, 2015 12:18:57 UTC 2015 年 11 月 17 日 (火) 21 時 18 分 57 秒 (日本時間)

10260+6299

c240

composite cofactor 合成数の残り
405477157380160534501481908848861449450674641576630811244055399349461928524802930430096913553045728689472147287071190574814942730786430847751182441997659899811774629193250823697931460615522591243812941387827517618380431433307487335378905449<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 17, 2015 12:19:15 UTC 2015 年 11 月 17 日 (火) 21 時 19 分 15 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovNovember 23, 2015 22:04:56 UTC 2015 年 11 月 24 日 (火) 7 時 4 分 56 秒 (日本時間)

10261+6299

c241

composite cofactor 合成数の残り
1907584153943217014125706551603458213005956057415212018880376084498397724353701896437011975397620347919273623331585490816906684351637001143032694250596562616989354441751373641821385813262749561766927609992912119450516287846216284060697207651<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 17, 2015 12:19:30 UTC 2015 年 11 月 17 日 (火) 21 時 19 分 30 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovNovember 23, 2015 22:05:08 UTC 2015 年 11 月 24 日 (火) 7 時 5 分 8 秒 (日本時間)

10262+6299

c234

composite cofactor 合成数の残り
732929319880623990990003935536966563998787283708633672395469611535955654200233568237904901620629709014630401391539923947097972216016412430638518019453687483142994146583128656975421298172833484720777142027024597400698948264317373039183<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 17, 2015 16:19:32 UTC 2015 年 11 月 18 日 (水) 1 時 19 分 32 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovNovember 25, 2015 22:00:59 UTC 2015 年 11 月 26 日 (木) 7 時 0 分 59 秒 (日本時間)

10263+6299

c259

composite cofactor 合成数の残り
4589471751801367662582036807563449446968653907935196658864564688604341640277204093808802606819955023176832346596906696039285878195419707191702235072743127266051677451925283399880673734453164440772867043003350314378814998393684886869521318096287117352792693561<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovOctober 29, 2015 07:33:51 UTC 2015 年 10 月 29 日 (木) 16 時 33 分 51 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovNovember 25, 2015 22:01:11 UTC 2015 年 11 月 26 日 (木) 7 時 1 分 11 秒 (日本時間)

10264+6299

c204

composite cofactor 合成数の残り
756606699472406147588776768076928100441433993231225262553769037723987767037548870355081108708404159612227909923330863415182997695839202228236139765545533152810041898036329014625600997504221374907210879169<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 16, 2015 23:06:30 UTC 2015 年 11 月 17 日 (火) 8 時 6 分 30 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovNovember 26, 2015 08:10:52 UTC 2015 年 11 月 26 日 (木) 17 時 10 分 52 秒 (日本時間)

10265+6299

c265

name 名前Dmitry Domanov
date 日付November 26, 2015 08:10:02 UTC 2015 年 11 月 26 日 (木) 17 時 10 分 2 秒 (日本時間)
composite number 合成数
1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111181<265>
prime factors 素因数
7269023458955525495903010234176965129<37>
composite cofactor 合成数の残り
152855623232610245611372398174022730373816853085166448879752755639102612074827953321516153071720023601566123880486609927256255361388636797580567445642549648052505664734534112418253842536093243780723436867806318053087742014044389<228>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3691779622
Step 1 took 117075ms
Step 2 took 31971ms
********** Factor found in step 2: 7269023458955525495903010234176965129
Found probable prime factor of 37 digits: 7269023458955525495903010234176965129

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovOctober 29, 2015 07:34:45 UTC 2015 年 10 月 29 日 (木) 16 時 34 分 45 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovNovember 25, 2015 22:01:31 UTC 2015 年 11 月 26 日 (木) 7 時 1 分 31 秒 (日本時間)

10268+6299

c216

name 名前Dmitry Domanov
date 日付November 26, 2015 09:46:17 UTC 2015 年 11 月 26 日 (木) 18 時 46 分 17 秒 (日本時間)
composite number 合成数
585801834796051899142524270674873301916862642598612342917524684693907782466661679074709345115550297844590899166955271194568196222614156548027920811328229986812315534205056310247760952267179292323334782269004530599371<216>
prime factors 素因数
509061486432469778820082639998575269<36>
24631289343549370560051580390791235762711<41>
46718978710188425686983907062254978973462778253542150705501194520945115490755449856561837721057729658790230311124963845116364943608972374569<140>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1727827575
Step 1 took 105918ms
Step 2 took 31680ms
********** Factor found in step 2: 509061486432469778820082639998575269
Found probable prime factor of 36 digits: 509061486432469778820082639998575269

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1837771016
Step 1 took 77856ms
Step 2 took 24470ms
********** Factor found in step 2: 24631289343549370560051580390791235762711
Found probable prime factor of 41 digits: 24631289343549370560051580390791235762711

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 16, 2015 23:07:20 UTC 2015 年 11 月 17 日 (火) 8 時 7 分 20 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovNovember 26, 2015 08:10:21 UTC 2015 年 11 月 26 日 (木) 17 時 10 分 21 秒 (日本時間)

10270+6299

c251

composite cofactor 合成数の残り
18294249115192273575343848532319340746877428255195426286359237906080905283090708095269886659977608351687163686875932426411781410062849696739289155044209922433093306449031075893139349810491896693592369343760736735083997986863804984946634019758321201613<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 17, 2015 16:22:16 UTC 2015 年 11 月 18 日 (水) 1 時 22 分 16 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovNovember 23, 2015 22:05:55 UTC 2015 年 11 月 24 日 (火) 7 時 5 分 55 秒 (日本時間)

10271+6299

c268

composite cofactor 合成数の残り
1701548409052237536157903692360047643355453462651012421303386081334013952696954228347796494810277352390675514718393738301854687765866938914412115024672451931257444274289603539220690828654075208439680108899098179343202314105836311043049174749021609664794963416709205377<268>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovOctober 28, 2015 23:10:21 UTC 2015 年 10 月 29 日 (木) 8 時 10 分 21 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovNovember 21, 2015 21:15:46 UTC 2015 年 11 月 22 日 (日) 6 時 15 分 46 秒 (日本時間)

10272+6299

c248

name 名前Dmitry Domanov
date 日付November 24, 2015 09:06:30 UTC 2015 年 11 月 24 日 (火) 18 時 6 分 30 秒 (日本時間)
composite number 合成数
68108155468308369091192532728188682057363824250869812008559984902657845275897383292493078108331330019192820190827227353234927992909281968243292247336587215521173026815054608830285320902332697779894133571485696120387151917130093483514325102467900757<248>
prime factors 素因数
1410140089009666738897624379544990329<37>
composite cofactor 合成数の残り
48298857680260926646802061394824172547306619054820561435781470186160324231845835313840469023111937167376443527695787969692644235895058107001882296313580515750438893350790700525252652425830375712047673481750803133<212>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2156122424
Step 1 took 101001ms
Step 2 took 29228ms
********** Factor found in step 2: 1410140089009666738897624379544990329
Found probable prime factor of 37 digits: 1410140089009666738897624379544990329

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 17, 2015 16:22:46 UTC 2015 年 11 月 18 日 (水) 1 時 22 分 46 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovNovember 23, 2015 22:05:41 UTC 2015 年 11 月 24 日 (火) 7 時 5 分 41 秒 (日本時間)

10273+6299

c229

composite cofactor 合成数の残り
9168574752772538361212736352842305136997097533245072685804863439091522206038614887174548436834866290750153332380264513199608609424170881485117564772183178619594754318793790847054634086804667555605803237818463279191896211588772651<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 17, 2015 16:23:01 UTC 2015 年 11 月 18 日 (水) 1 時 23 分 1 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovNovember 25, 2015 22:01:58 UTC 2015 年 11 月 26 日 (木) 7 時 1 分 58 秒 (日本時間)

10275+6299

c259

name 名前Dmitry Domanov
date 日付November 18, 2015 13:13:07 UTC 2015 年 11 月 18 日 (水) 22 時 13 分 7 秒 (日本時間)
composite number 合成数
4377363357614853635657285088909891770091284583396090539910003031260989653468958981385523628174401013234909734915565104259379584615915480891062808489827333613365198960763058196795927727032162769547480292823548907443308792584730632772621612296451897374262661951<259>
prime factors 素因数
678689233366378716332566496861405011<36>
6449731544881911028569079316834599342710130670701509871218736709408501346810240517147819564357978443424173069669126975228315122125730645454716938820461703036917040097789832006279928181957618648988316247720030711530376141541<223>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=939169583
Step 1 took 39372ms
Step 2 took 11982ms
********** Factor found in step 2: 678689233366378716332566496861405011
Found probable prime factor of 36 digits: 678689233366378716332566496861405011

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 18, 2015 06:58:08 UTC 2015 年 11 月 18 日 (水) 15 時 58 分 8 秒 (日本時間)

10276+6299

c260

composite cofactor 合成数の残り
10974382940680473329680758139071213996013878699521899401635146656288294802105740629972569230181759129541174466569583867287849161167869300834086997793355874447529400035575069531376171348911764755251461424207830810256306093246816415412253334025678239757102813219<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 18, 2015 06:58:44 UTC 2015 年 11 月 18 日 (水) 15 時 58 分 44 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovNovember 21, 2015 21:15:30 UTC 2015 年 11 月 22 日 (日) 6 時 15 分 30 秒 (日本時間)

10277+6299

c252

composite cofactor 合成数の残り
407101178922446695996446800942156250382659739930956434990305204840083245677570001139103908421633660260914602353252432442277680668721928865117770009020310658006967601240617933521736748891620881549886906857776847624785942938910098859912222088051539971109<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 18, 2015 06:59:00 UTC 2015 年 11 月 18 日 (水) 15 時 59 分 0 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovNovember 25, 2015 22:02:12 UTC 2015 年 11 月 26 日 (木) 7 時 2 分 12 秒 (日本時間)

10278+6299

c252

composite cofactor 合成数の残り
190724262847277758692566451202882079940229573958088721409131601954368283356241305534802728403807747494670558074216903549618305658517777131883666957390298883922858926601504541530398025709679647337656249533303229049205189040467522396154926723681661847339<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 18, 2015 06:59:12 UTC 2015 年 11 月 18 日 (水) 15 時 59 分 12 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovNovember 25, 2015 22:02:25 UTC 2015 年 11 月 26 日 (木) 7 時 2 分 25 秒 (日本時間)

10279+6299

c270

composite cofactor 合成数の残り
209717663508104951935491331572144947523291741264366808940954134237586572785824779794476727511236578562109843447737634413264647753433954823890557818909321435474817249873170044799105031716494600988938867774839589271319890699121637769272396912537480591398333267485132756741<270>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 18, 2015 06:59:29 UTC 2015 年 11 月 18 日 (水) 15 時 59 分 29 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovNovember 21, 2015 21:15:16 UTC 2015 年 11 月 22 日 (日) 6 時 15 分 16 秒 (日本時間)

10281+6299

c264

name 名前Dmitry Domanov
date 日付November 22, 2015 09:57:54 UTC 2015 年 11 月 22 日 (日) 18 時 57 分 54 秒 (日本時間)
composite number 合成数
512217993640923876593029833381470409659294057877791628609254826856027702284531155820159608018954763528723278362689897671043128574169493038762939166353885965987958739728463969352097350173768612624716506170906553248484787152577585014865502569931765959640088063137789<264>
prime factors 素因数
7259270727560794857675207770042968601443043<43>
70560530508418644616982066691796205443547560833713281302718028544886778521888267146046222223268509197135278423172224776620892601920617441339292526799788061019929563026072561500887781387445440209034122878880033871898654623<221>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3220827113
Step 1 took 120743ms
Step 2 took 37503ms
********** Factor found in step 2: 7259270727560794857675207770042968601443043
Found probable prime factor of 43 digits: 7259270727560794857675207770042968601443043

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 18, 2015 06:59:40 UTC 2015 年 11 月 18 日 (水) 15 時 59 分 40 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovNovember 21, 2015 21:15:03 UTC 2015 年 11 月 22 日 (日) 6 時 15 分 3 秒 (日本時間)

10283+6299

c235

name 名前Dmitry Domanov
date 日付November 24, 2015 09:07:02 UTC 2015 年 11 月 24 日 (火) 18 時 7 分 2 秒 (日本時間)
composite number 合成数
9983290378687843223473308016824499093576654946390286877917345357610987797140266918015814035964815894057597037310011021529937592248573764035093859956125695343066950080608344606941678242463226750481469450737614838419326646331990365047863<235>
prime factors 素因数
58836904462491998611415876651434217298817<41>
composite cofactor 合成数の残り
169677355902571348298553616920503995004572519367843191353408951030970188410541356199102996014079608390550127987367132123712808614310884604735881297861408756634302783847273867880070343608472282039<195>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3308275859
Step 1 took 94199ms
Step 2 took 31287ms
********** Factor found in step 2: 58836904462491998611415876651434217298817
Found probable prime factor of 41 digits: 58836904462491998611415876651434217298817

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 18, 2015 12:09:19 UTC 2015 年 11 月 18 日 (水) 21 時 9 分 19 秒 (日本時間)
4511e6600Dmitry DomanovNovember 23, 2015 22:06:12 UTC 2015 年 11 月 24 日 (火) 7 時 6 分 12 秒 (日本時間)
5043e61500 / 7396Erik BrangerDecember 2, 2015 07:14:12 UTC 2015 年 12 月 2 日 (水) 16 時 14 分 12 秒 (日本時間)

10284+6299

c283

composite cofactor 合成数の残り
3703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703727<283>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovOctober 28, 2015 23:05:47 UTC 2015 年 10 月 29 日 (木) 8 時 5 分 47 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovNovember 21, 2015 21:14:48 UTC 2015 年 11 月 22 日 (日) 6 時 14 分 48 秒 (日本時間)

10285+6299

c258

composite cofactor 合成数の残り
124454694364949461029720907610633106541428055739423197857527628223760733274694542512740078242420538188564451945296752856016994302845942959483435065871795582980445214690435234260939912846457406560301495247804148652281590278434965428275229299308800448083128609<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 18, 2015 12:09:41 UTC 2015 年 11 月 18 日 (水) 21 時 9 分 41 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovNovember 21, 2015 21:14:19 UTC 2015 年 11 月 22 日 (日) 6 時 14 分 19 秒 (日本時間)

10287+6299

c271

composite cofactor 合成数の残り
8647849399922651506316932245019872347917796735283796080772928519363081373322307704437761719699230967233784443116893449294633635838983157474620921569116185100778242877530300271778301878985310933730103178078963095630655624339961511922741955343215276190253432620517340411683<271>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 17, 2015 16:41:22 UTC 2015 年 11 月 18 日 (水) 1 時 41 分 22 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovNovember 20, 2015 22:33:58 UTC 2015 年 11 月 21 日 (土) 7 時 33 分 58 秒 (日本時間)

10288+6299

c264

composite cofactor 合成数の残り
878847477312587978771476393993931259505688262994914539708896786485391159205811833922759825422233126073088812492851960690345780603779867041698451778131420043243245060713776963966381667445893788911399857095406653919624392796840690113287883914026559983223308977970183<264>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 18, 2015 07:00:05 UTC 2015 年 11 月 18 日 (水) 16 時 0 分 5 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovNovember 20, 2015 22:33:43 UTC 2015 年 11 月 21 日 (土) 7 時 33 分 43 秒 (日本時間)

10289+6299

c222

name 名前Dmitry Domanov
date 日付November 19, 2015 06:26:11 UTC 2015 年 11 月 19 日 (木) 15 時 26 分 11 秒 (日本時間)
composite number 合成数
135201147821801532057382150891705526163881556585889521066890978174212470608117417651843030740749596483417495881364392990936840049217256248863339686545969521240650849583716479870074327644004256713202263613805214168738598779<222>
prime factors 素因数
3590576368665195187879357248495889<34>
composite cofactor 合成数の残り
37654441499057395559042012905827456711752236797753687710395325814751012043808521409891798650164161163222891017336495439338237674504639016641514361452317894977982946243203060742083998296011<188>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=924087758
Step 1 took 41646ms
Step 2 took 14649ms
********** Factor found in step 2: 3590576368665195187879357248495889
Found probable prime factor of 34 digits: 3590576368665195187879357248495889

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 18, 2015 12:10:11 UTC 2015 年 11 月 18 日 (水) 21 時 10 分 11 秒 (日本時間)
4511e6600Dmitry DomanovNovember 19, 2015 22:50:16 UTC 2015 年 11 月 20 日 (金) 7 時 50 分 16 秒 (日本時間)
5043e61500 / 7396Erik BrangerDecember 5, 2015 09:34:38 UTC 2015 年 12 月 5 日 (土) 18 時 34 分 38 秒 (日本時間)

10290+6299

c262

composite cofactor 合成数の残り
1794047343784831966909358961715702294774758110105470617511967408730180098577362644443570448126304031955092408824307819194803722265454557283366639029335847771506996567966419430559856056742794082700489716160304539613232309929616714480119363737160515999162932680079<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 18, 2015 07:00:20 UTC 2015 年 11 月 18 日 (水) 16 時 0 分 20 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovNovember 20, 2015 22:33:30 UTC 2015 年 11 月 21 日 (土) 7 時 33 分 30 秒 (日本時間)

10292+6299

c268

composite cofactor 合成数の残り
1247130842606259987017977040585652622807418315430365223622280810977641869146372118861506020343663737148712437387001566194268925575435556503053943261391149793068905605579910293826879013199119758242304103831155474146565778357286959870125697138084925394155407389121464497<268>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 18, 2015 12:10:34 UTC 2015 年 11 月 18 日 (水) 21 時 10 分 34 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovNovember 20, 2015 22:33:15 UTC 2015 年 11 月 21 日 (土) 7 時 33 分 15 秒 (日本時間)

10293+6299

c272

composite cofactor 合成数の残り
14114354538212338188211566041857701303339285996690929052210905277083963925527129062139312660379864450697617443735109250232844290387375951283766116796294012047627259397545598595205370647957826429890454796190445396275628209955300288411497837560512515481379597645496867282123<272>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 18, 2015 12:10:58 UTC 2015 年 11 月 18 日 (水) 21 時 10 分 58 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovNovember 20, 2015 22:33:02 UTC 2015 年 11 月 21 日 (土) 7 時 33 分 2 秒 (日本時間)

10294+6299

c242

name 名前Dmitry Domanov
date 日付November 21, 2015 20:02:29 UTC 2015 年 11 月 22 日 (日) 5 時 2 分 29 秒 (日本時間)
composite number 合成数
97997956478448595439780161934425400695806326528264654776843807724111988154460323586201736583333000741531575642279277330756815289712697415197535403322087430709074349254837059987056807562966293240347011160947849333925100556289250309227408114273<242>
prime factors 素因数
1188984349202966132911413410624273060368669<43>
composite cofactor 合成数の残り
82421569757534132316492887021551548861167942993373327970170146190136212666459613068518878797770946474451037568448704165141051889831569933184125300095187784129760272651137906799176722474889268216420117<200>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4116425689
Step 1 took 168499ms
Step 2 took 50401ms
********** Factor found in step 2: 1188984349202966132911413410624273060368669
Found probable prime factor of 43 digits: 1188984349202966132911413410624273060368669

c200

name 名前Erik Branger
date 日付December 1, 2015 07:45:19 UTC 2015 年 12 月 1 日 (火) 16 時 45 分 19 秒 (日本時間)
composite number 合成数
82421569757534132316492887021551548861167942993373327970170146190136212666459613068518878797770946474451037568448704165141051889831569933184125300095187784129760272651137906799176722474889268216420117<200>
prime factors 素因数
72426206103384815686479262894421494658134813<44>
1138007555440380667564835583804976574167950765880333984643801648399518086197234265042636476969320986772176144008548689656669048309437912146643915360350763609<157>
factorization results 素因数分解の結果
Mon 2015/11/30 23:10:11 UTC GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Mon 2015/11/30 23:10:11 UTC Input number is 82421569757534132316492887021551548861167942993373327970170146190136212666459613068518878797770946474451037568448704165141051889831569933184125300095187784129760272651137906799176722474889268216420117 (200 digits)
Mon 2015/11/30 23:10:11 UTC Run 328 out of 1500:
Mon 2015/11/30 23:10:11 UTC Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:1084714199
Mon 2015/11/30 23:10:11 UTC Step 1 took 174156ms
Mon 2015/11/30 23:10:11 UTC Step 2 took 67594ms
Mon 2015/11/30 23:10:11 UTC ********** Factor found in step 2: 72426206103384815686479262894421494658134813
Mon 2015/11/30 23:10:11 UTC Found probable prime factor of 44 digits: 72426206103384815686479262894421494658134813
Mon 2015/11/30 23:10:11 UTC Probable prime cofactor 1138007555440380667564835583804976574167950765880333984643801648399518086197234265042636476969320986772176144008548689656669048309437912146643915360350763609 has 157 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 18, 2015 12:11:15 UTC 2015 年 11 月 18 日 (水) 21 時 11 分 15 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovNovember 21, 2015 19:18:43 UTC 2015 年 11 月 22 日 (日) 4 時 18 分 43 秒 (日本時間)

10295+6299

c292

composite cofactor 合成数の残り
4011231448054552747693541917368632170076213397513036502206177296430004011231448054552747693541917368632170076213397513036502206177296430004011231448054552747693541917368632170076213397513036502206177296430004011231448054552747693541917368632170076213397513036502206177296430004011231448054553<292>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovOctober 28, 2015 18:45:32 UTC 2015 年 10 月 29 日 (木) 3 時 45 分 32 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovNovember 18, 2015 17:17:38 UTC 2015 年 11 月 19 日 (木) 2 時 17 分 38 秒 (日本時間)

10296+6299

c274

composite cofactor 合成数の残り
8798756409632977629748121913576367077350688270060371700903656654255812546012601199233312733380321754242700319633180106425840353692563562431004534161596150741260264359993535551705972487059890939710941577581580163875349283986693800231422471480421655660277793442239982729986561<274>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 17, 2015 16:40:45 UTC 2015 年 11 月 18 日 (水) 1 時 40 分 45 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovNovember 20, 2015 22:32:31 UTC 2015 年 11 月 21 日 (土) 7 時 32 分 31 秒 (日本時間)

10299+6299

c286

name 名前Dmitry Domanov
date 日付November 17, 2015 18:58:44 UTC 2015 年 11 月 18 日 (水) 3 時 58 分 44 秒 (日本時間)
composite number 合成数
1372183560020677144073617869930212156882242760272770044426141489689218309247318509145531552199310638776377083801328345575864283768434926933021925714482615110696636960919347542135346220476837628463982477042175967830962188483127561306894799075694050348829618264198411377227468531102294541<286>
prime factors 素因数
562661809964446926415864770244099<33>
2438735908000192338028098178676501969257940937405899665546177153436402250341589175729648630318745257686258449814188449606649882491142232354104821211615156289989314305079301616096144281646924297794528890654044519140294066046300123722630459341603147037359<253>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4207123481
Step 1 took 57508ms
Step 2 took 15472ms
********** Factor found in step 2: 562661809964446926415864770244099
Found probable prime factor of 33 digits: 562661809964446926415864770244099

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 17, 2015 16:40:07 UTC 2015 年 11 月 18 日 (水) 1 時 40 分 7 秒 (日本時間)

10300+6299

c291

composite cofactor 合成数の残り
676673760785806730515126108450913705440280898537953567849660824619316418902332319127257256197561763226655599910911568680479514764608351015343124831072201909727769889757914609589429826426975260054167775151329475926139675889062149175316812344817095383579419990425756492116836286076090994050191<291>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61336136KTakahashiOctober 28, 2015 14:05:15 UTC 2015 年 10 月 28 日 (水) 23 時 5 分 15 秒 (日本時間)
1200Dmitry DomanovOctober 28, 2015 16:17:47 UTC 2015 年 10 月 29 日 (木) 1 時 17 分 47 秒 (日本時間)
4511e6600Dmitry DomanovOctober 30, 2015 23:34:08 UTC 2015 年 10 月 31 日 (土) 8 時 34 分 8 秒 (日本時間)
5043e6800 / 7077400Dmitry DomanovOctober 31, 2015 23:54:43 UTC 2015 年 11 月 1 日 (日) 8 時 54 分 43 秒 (日本時間)
400Dmitry DomanovNovember 2, 2015 20:37:43 UTC 2015 年 11 月 3 日 (火) 5 時 37 分 43 秒 (日本時間)
5511e7100 / 17413Dmitry DomanovNovember 2, 2015 22:04:52 UTC 2015 年 11 月 3 日 (火) 7 時 4 分 52 秒 (日本時間)
6026e710 / 41875Dmitry DomanovNovember 3, 2015 13:47:41 UTC 2015 年 11 月 3 日 (火) 22 時 47 分 41 秒 (日本時間)