Table of contents 目次

127×1097-19

c98

name 名前Dmitry Domanov
date 日付December 6, 2014 14:53:14 UTC 2014 年 12 月 6 日 (土) 23 時 53 分 14 秒 (日本時間)
composite number 合成数
47037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037<98>
prime factors 素因数
8550240904100340585373712511982313854980985223<46>
5501252837739346824257558238517174966518892389808619<52>
factorization results 素因数分解の結果
N=47037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037
  ( 98 digits)
SNFS difficulty: 99 digits.
Divisors found:
 r1=8550240904100340585373712511982313854980985223 (pp46)
 r2=5501252837739346824257558238517174966518892389808619 (pp52)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 0.09 hours.
Scaled time: 0.19 units (timescale=2.130).
Factorization parameters were as follows:
n: 47037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037
m: 1000000000000000000000000
deg: 4
c4: 1270
c0: -1
skew: 0.17
# Murphy_E = 4.647e-07
type: snfs
lss: 1
rlim: 310000
alim: 310000
lpbr: 24
lpba: 24
mfbr: 43
mfba: 43
rlambda: 2.1
alambda: 2.1

Factor base limits: 310000/310000
Large primes per side: 3
Large prime bits: 24/24
Max factor residue bits: 43/43
Sieved rational special-q in [155000, 215001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 23325 x 23557
Total sieving time: 0.08 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,99.0000,4,0,0,0,0,0,0,0,0,310000,310000,24,24,43,43,2.1,2.1,10000
total time: 0.09 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)

127×10116-19

c99

name 名前KTakahashi
date 日付December 6, 2014 17:33:57 UTC 2014 年 12 月 7 日 (日) 2 時 33 分 57 秒 (日本時間)
composite number 合成数
908456871205290665016487159843654247932454913344607131967977894511434279413229129934637359103904093<99>
prime factors 素因数
1055615470945449366491939034049139<34>
860594502647485961608706063777560327062715533549583602725384911087<66>
factorization results 素因数分解の結果
Input number is 908456871205290665016487159843654247932454913344607131967977894511434279413229129934637359103904093 (99 digits)
Using B1=250000, B2=128992510, polynomial Dickson(3), sigma=4151573817
Step 1 took 655ms
Step 2 took 375ms
********** Factor found in step 2: 1055615470945449366491939034049139
Found probable prime factor of 34 digits: 1055615470945449366491939034049139
Probable prime cofactor 860594502647485961608706063777560327062715533549583602725384911087 has 66 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)

127×10117-19

c109

name 名前KTakahashi
date 日付December 6, 2014 17:34:38 UTC 2014 年 12 月 7 日 (日) 2 時 34 分 38 秒 (日本時間)
composite number 合成数
1484365159468928680924683399947110870188079854468081381857389679273346106147561564103399327237875769219769541<109>
prime factors 素因数
29542559784928353542049102276454138999667200680253<50>
50244974378496584139813945677133659595395347319276980845097<59>
factorization results 素因数分解の結果
Number: 14111_117
N=1484365159468928680924683399947110870188079854468081381857389679273346106147561564103399327237875769219769541
  ( 109 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=29542559784928353542049102276454138999667200680253 (pp50)
 r2=50244974378496584139813945677133659595395347319276980845097 (pp59)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 2.33 hours.
Scaled time: 4.24 units (timescale=1.818).
Factorization parameters were as follows:
n: 1484365159468928680924683399947110870188079854468081381857389679273346106147561564103399327237875769219769541
m: 500000000000000000000000
c5: 508
c0: -125
skew: 0.76
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 100079 x 100308
Total sieving time: 2.28 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,121.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.33 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)

127×10123-19

c96

name 名前KTakahashi
date 日付December 6, 2014 19:12:04 UTC 2014 年 12 月 7 日 (日) 4 時 12 分 4 秒 (日本時間)
composite number 合成数
605735762457931361883745929528063977141261605886560663089816913022388237690066242601081837515467<96>
prime factors 素因数
7074661092138045982889986661495190341953<40>
85620463590980423014139306864665080355458558588370128139<56>
factorization results 素因数分解の結果
Number: 14111_123
N=605735762457931361883745929528063977141261605886560663089816913022388237690066242601081837515467
  ( 96 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=7074661092138045982889986661495190341953 (pp40)
 r2=85620463590980423014139306864665080355458558588370128139 (pp56)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 2.82 hours.
Scaled time: 4.85 units (timescale=1.719).
Factorization parameters were as follows:
n: 605735762457931361883745929528063977141261605886560663089816913022388237690066242601081837515467
m: 10000000000000000000000000
c5: 127
c0: -100
skew: 0.95
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, 600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 145454 x 145702
Total sieving time: 2.72 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,127.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.82 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 19:11:27 UTC 2014 年 12 月 7 日 (日) 4 時 11 分 27 秒 (日本時間)

127×10124-19

c116

name 名前Dmitry Domanov
date 日付December 7, 2014 09:53:53 UTC 2014 年 12 月 7 日 (日) 18 時 53 分 53 秒 (日本時間)
composite number 合成数
73789533151351250975287662177851179166364353999700297477988374691576187029076328785596496897714795220271555648683989<116>
prime factors 素因数
333511723204088283796023479965152153575622899<45>
221250193074012809982315216052593523197750346997380414255846535007077911<72>
factorization results 素因数分解の結果
N=73789533151351250975287662177851179166364353999700297477988374691576187029076328785596496897714795220271555648683989
  ( 116 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=333511723204088283796023479965152153575622899 (pp45)
 r2=221250193074012809982315216052593523197750346997380414255846535007077911 (pp72)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 1.20 hours.
Scaled time: 2.57 units (timescale=2.135).
Factorization parameters were as follows:
n: 73789533151351250975287662177851179166364353999700297477988374691576187029076328785596496897714795220271555648683989
m: 10000000000000000000000000
deg: 5
c5: 127
c0: -10
skew: 0.60
# Murphy_E = 9.491e-09
type: snfs
lss: 1
rlim: 920000
alim: 920000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 920000/920000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [460000, 760001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 130510 x 130735
Total sieving time: 1.12 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,127.000,5,0,0,0,0,0,0,0,0,920000,920000,26,26,46,46,2.3,2.3,50000
total time: 1.20 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)

127×10126-19

c115

name 名前Dmitry Domanov
date 日付December 7, 2014 11:24:46 UTC 2014 年 12 月 7 日 (日) 20 時 24 分 46 秒 (日本時間)
composite number 合成数
6311593886764292867618215487885237325826353044230908013834687558369686906157814557795990468189688853103739726868581<115>
prime factors 素因数
3008946875374124525202413968202120742576667<43>
2097608946977345991284734923224998861676655748788073822383996412027215743<73>
factorization results 素因数分解の結果
N=6311593886764292867618215487885237325826353044230908013834687558369686906157814557795990468189688853103739726868581
  ( 115 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=3008946875374124525202413968202120742576667 (pp43)
 r2=2097608946977345991284734923224998861676655748788073822383996412027215743 (pp73)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 1.27 hours.
Scaled time: 2.71 units (timescale=2.133).
Factorization parameters were as follows:
n: 6311593886764292867618215487885237325826353044230908013834687558369686906157814557795990468189688853103739726868581
m: 10000000000000000000000000
deg: 5
c5: 1270
c0: -1
skew: 0.24
# Murphy_E = 1.042e-08
type: snfs
lss: 1
rlim: 960000
alim: 960000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 960000/960000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [480000, 730001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 116731 x 116956
Total sieving time: 1.17 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,128.000,5,0,0,0,0,0,0,0,0,960000,960000,26,26,47,47,2.3,2.3,50000
total time: 1.27 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)

127×10129-19

c101

name 名前Dmitry Domanov
date 日付December 8, 2014 10:57:38 UTC 2014 年 12 月 8 日 (月) 19 時 57 分 38 秒 (日本時間)
composite number 合成数
86092232179920052377494576360110471621071747401075723565170491404742020848393146776126803967808971617<101>
prime factors 素因数
21723620853601852318879509515657399365483395709<47>
3963070095915693500176265299407852729402001712476978613<55>
factorization results 素因数分解の結果
N=86092232179920052377494576360110471621071747401075723565170491404742020848393146776126803967808971617
  ( 101 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=21723620853601852318879509515657399365483395709 (pp47)
 r2=3963070095915693500176265299407852729402001712476978613 (pp55)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 1.83 hours.
Scaled time: 3.88 units (timescale=2.126).
Factorization parameters were as follows:
n: 86092232179920052377494576360110471621071747401075723565170491404742020848393146776126803967808971617
m: 100000000000000000000000000
deg: 5
c5: 127
c0: -10
skew: 0.60
# Murphy_E = 6.278e-09
type: snfs
lss: 1
rlim: 1110000
alim: 1110000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1110000/1110000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [555000, 1005001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 157484 x 157709
Total sieving time: 1.72 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,132.000,5,0,0,0,0,0,0,0,0,1110000,1110000,26,26,47,47,2.3,2.3,50000
total time: 1.83 hours.

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 19:21:26 UTC 2014 年 12 月 7 日 (日) 4 時 21 分 26 秒 (日本時間)

127×10135-19

c137

name 名前Dmitry Domanov
date 日付December 8, 2014 14:01:47 UTC 2014 年 12 月 8 日 (月) 23 時 1 分 47 秒 (日本時間)
composite number 合成数
14111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<137>
prime factors 素因数
123294402201061989343749138562001053<36>
114450541623937293849989342639999960542008882879063898659171347990438937105556634005743332743070481587<102>
factorization results 素因数分解の結果
N=14111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
  ( 137 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=123294402201061989343749138562001053 (pp36)
 r2=114450541623937293849989342639999960542008882879063898659171347990438937105556634005743332743070481587 (pp102)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 3.22 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 14111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
m: 1000000000000000000000000000
deg: 5
c5: 127
c0: -1
skew: 0.38
# Murphy_E = 4.571e-09
type: snfs
lss: 1
rlim: 1350000
alim: 1350000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1350000/1350000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [675000, 1275001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 206207 x 206432
Total sieving time: 3.11 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,137.000,5,0,0,0,0,0,0,0,0,1350000,1350000,26,26,48,48,2.3,2.3,75000
total time: 3.22 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)

127×10137-19

c111

name 名前Cyp
date 日付December 13, 2014 07:46:03 UTC 2014 年 12 月 13 日 (土) 16 時 46 分 3 秒 (日本時間)
composite number 合成数
477731414318245264868279957581351324706461417594037204694339285350290693789574339923488652831719529713167226377<111>
prime factors 素因数
2027733604324420382966022622821127051556884989853<49>
235598706506326775988665747389652290989236567012638969719650909<63>
factorization results 素因数分解の結果
12/13/14 07:48:20 v1.34.3, 
12/13/14 07:48:20 v1.34.3, ****************************
12/13/14 07:48:20 v1.34.3, Starting factorization of 477731414318245264868279957581351324706461417594037204694339285350290693789574339923488652831719529713167226377
12/13/14 07:48:20 v1.34.3, using pretesting plan: none
12/13/14 07:48:20 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/13/14 07:48:20 v1.34.3, ****************************
12/13/14 07:48:20 v1.34.3, nfs: commencing nfs on c111: 477731414318245264868279957581351324706461417594037204694339285350290693789574339923488652831719529713167226377
12/13/14 07:48:20 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/13/14 07:48:20 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/13/14 07:48:37 v1.34.3, nfs: commencing lattice sieving with 8 threads
[165 lines snipped]
12/13/14 08:41:54 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/13/14 08:42:14 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/13/14 08:42:32 v1.34.3, nfs: commencing msieve filtering
12/13/14 08:43:21 v1.34.3, nfs: commencing msieve linear algebra
12/13/14 08:45:42 v1.34.3, nfs: commencing msieve sqrt
12/13/14 08:46:02 v1.34.3, prp63 = 235598706506326775988665747389652290989236567012638969719650909
12/13/14 08:46:02 v1.34.3, prp49 = 2027733604324420382966022622821127051556884989853
12/13/14 08:46:02 v1.34.3, NFS elapsed time = 3462.3332 seconds.
12/13/14 08:46:02 v1.34.3, 
12/13/14 08:46:02 v1.34.3, 
12/13/14 08:46:02 v1.34.3, Total factoring time = 3462.3337 seconds
--
Sat Dec 13 08:42:32 2014  
Sat Dec 13 08:42:32 2014  commencing relation filtering
Sat Dec 13 08:42:32 2014  estimated available RAM is 15987.3 MB
Sat Dec 13 08:42:32 2014  commencing duplicate removal, pass 1
Sat Dec 13 08:42:44 2014  found 817909 hash collisions in 4469695 relations
Sat Dec 13 08:42:48 2014  added 176042 free relations
Sat Dec 13 08:42:48 2014  commencing duplicate removal, pass 2
Sat Dec 13 08:42:52 2014  found 735595 duplicates and 3910142 unique relations
Sat Dec 13 08:42:52 2014  memory use: 20.6 MB
Sat Dec 13 08:42:52 2014  reading ideals above 100000
Sat Dec 13 08:42:52 2014  commencing singleton removal, initial pass
Sat Dec 13 08:43:09 2014  memory use: 94.1 MB
Sat Dec 13 08:43:09 2014  reading all ideals from disk
Sat Dec 13 08:43:09 2014  memory use: 121.1 MB
Sat Dec 13 08:43:09 2014  keeping 4392049 ideals with weight <= 200, target excess is 20445
Sat Dec 13 08:43:09 2014  commencing in-memory singleton removal
Sat Dec 13 08:43:09 2014  begin with 3910142 relations and 4392049 unique ideals
Sat Dec 13 08:43:11 2014  reduce to 1522212 relations and 1339427 ideals in 12 passes
Sat Dec 13 08:43:11 2014  max relations containing the same ideal: 104
Sat Dec 13 08:43:11 2014  removing 339874 relations and 260340 ideals in 79534 cliques
Sat Dec 13 08:43:11 2014  commencing in-memory singleton removal
Sat Dec 13 08:43:11 2014  begin with 1182338 relations and 1339427 unique ideals
Sat Dec 13 08:43:11 2014  reduce to 1130709 relations and 1024196 ideals in 8 passes
Sat Dec 13 08:43:11 2014  max relations containing the same ideal: 90
Sat Dec 13 08:43:12 2014  removing 270476 relations and 190942 ideals in 79534 cliques
Sat Dec 13 08:43:12 2014  commencing in-memory singleton removal
Sat Dec 13 08:43:12 2014  begin with 860233 relations and 1024196 unique ideals
Sat Dec 13 08:43:12 2014  reduce to 821004 relations and 791307 ideals in 7 passes
Sat Dec 13 08:43:12 2014  max relations containing the same ideal: 69
Sat Dec 13 08:43:12 2014  relations with 0 large ideals: 477
Sat Dec 13 08:43:12 2014  relations with 1 large ideals: 214
Sat Dec 13 08:43:12 2014  relations with 2 large ideals: 3631
Sat Dec 13 08:43:12 2014  relations with 3 large ideals: 26700
Sat Dec 13 08:43:12 2014  relations with 4 large ideals: 97736
Sat Dec 13 08:43:12 2014  relations with 5 large ideals: 202115
Sat Dec 13 08:43:12 2014  relations with 6 large ideals: 249169
Sat Dec 13 08:43:12 2014  relations with 7+ large ideals: 240962
Sat Dec 13 08:43:12 2014  commencing 2-way merge
Sat Dec 13 08:43:12 2014  reduce to 527843 relation sets and 498146 unique ideals
Sat Dec 13 08:43:12 2014  commencing full merge
Sat Dec 13 08:43:19 2014  memory use: 63.6 MB
Sat Dec 13 08:43:19 2014  found 262914 cycles, need 254346
Sat Dec 13 08:43:19 2014  weight of 254346 cycles is about 17965917 (70.64/cycle)
Sat Dec 13 08:43:19 2014  distribution of cycle lengths:
Sat Dec 13 08:43:19 2014  1 relations: 12545
Sat Dec 13 08:43:19 2014  2 relations: 21342
Sat Dec 13 08:43:19 2014  3 relations: 25954
Sat Dec 13 08:43:19 2014  4 relations: 26356
Sat Dec 13 08:43:19 2014  5 relations: 26230
Sat Dec 13 08:43:19 2014  6 relations: 24442
Sat Dec 13 08:43:19 2014  7 relations: 22227
Sat Dec 13 08:43:19 2014  8 relations: 19699
Sat Dec 13 08:43:19 2014  9 relations: 16771
Sat Dec 13 08:43:19 2014  10+ relations: 58780
Sat Dec 13 08:43:19 2014  heaviest cycle: 20 relations
Sat Dec 13 08:43:19 2014  commencing cycle optimization
Sat Dec 13 08:43:19 2014  start with 1704896 relations
Sat Dec 13 08:43:21 2014  pruned 53589 relations
Sat Dec 13 08:43:21 2014  memory use: 50.8 MB
Sat Dec 13 08:43:21 2014  distribution of cycle lengths:
Sat Dec 13 08:43:21 2014  1 relations: 12545
Sat Dec 13 08:43:21 2014  2 relations: 21801
Sat Dec 13 08:43:21 2014  3 relations: 26968
Sat Dec 13 08:43:21 2014  4 relations: 27357
Sat Dec 13 08:43:21 2014  5 relations: 27331
Sat Dec 13 08:43:21 2014  6 relations: 25227
Sat Dec 13 08:43:21 2014  7 relations: 22900
Sat Dec 13 08:43:21 2014  8 relations: 20091
Sat Dec 13 08:43:21 2014  9 relations: 16834
Sat Dec 13 08:43:21 2014  10+ relations: 53292
Sat Dec 13 08:43:21 2014  heaviest cycle: 19 relations
Sat Dec 13 08:43:21 2014  RelProcTime: 49
Sat Dec 13 08:43:21 2014  
Sat Dec 13 08:43:21 2014  commencing linear algebra
Sat Dec 13 08:43:21 2014  read 254346 cycles
Sat Dec 13 08:43:22 2014  cycles contain 780635 unique relations
Sat Dec 13 08:43:27 2014  read 780635 relations
Sat Dec 13 08:43:27 2014  using 20 quadratic characters above 67101690
Sat Dec 13 08:43:30 2014  building initial matrix
Sat Dec 13 08:43:35 2014  memory use: 91.8 MB
Sat Dec 13 08:43:36 2014  read 254346 cycles
Sat Dec 13 08:43:36 2014  matrix is 254175 x 254346 (75.9 MB) with weight 22480000 (88.38/col)
Sat Dec 13 08:43:36 2014  sparse part has weight 17094133 (67.21/col)
Sat Dec 13 08:43:37 2014  filtering completed in 2 passes
Sat Dec 13 08:43:37 2014  matrix is 254037 x 254215 (75.9 MB) with weight 22474090 (88.41/col)
Sat Dec 13 08:43:37 2014  sparse part has weight 17091016 (67.23/col)
Sat Dec 13 08:43:37 2014  matrix starts at (0, 0)
Sat Dec 13 08:43:37 2014  matrix is 254037 x 254215 (75.9 MB) with weight 22474090 (88.41/col)
Sat Dec 13 08:43:37 2014  sparse part has weight 17091016 (67.23/col)
Sat Dec 13 08:43:37 2014  saving the first 48 matrix rows for later
Sat Dec 13 08:43:37 2014  matrix includes 64 packed rows
Sat Dec 13 08:43:37 2014  matrix is 253989 x 254215 (71.1 MB) with weight 17784026 (69.96/col)
Sat Dec 13 08:43:37 2014  sparse part has weight 16100186 (63.33/col)
Sat Dec 13 08:43:37 2014  using block size 65536 for processor cache size 8192 kB
Sat Dec 13 08:43:38 2014  commencing Lanczos iteration (8 threads)
Sat Dec 13 08:43:38 2014  memory use: 67.7 MB
Sat Dec 13 08:43:44 2014  linear algebra at 4.8%, ETA 0h 1m
Sat Dec 13 08:45:42 2014  lanczos halted after 4019 iterations (dim = 253988)
Sat Dec 13 08:45:42 2014  recovered 39 nontrivial dependencies
Sat Dec 13 08:45:42 2014  BLanczosTime: 141
Sat Dec 13 08:45:42 2014  
Sat Dec 13 08:45:42 2014  commencing square root phase
Sat Dec 13 08:45:42 2014  reading relations for dependency 1
Sat Dec 13 08:45:42 2014  read 126807 cycles
Sat Dec 13 08:45:42 2014  cycles contain 389078 unique relations
Sat Dec 13 08:45:45 2014  read 389078 relations
Sat Dec 13 08:45:46 2014  multiplying 389078 relations
Sat Dec 13 08:45:53 2014  multiply complete, coefficients have about 12.24 million bits
Sat Dec 13 08:45:53 2014  initial square root is modulo 10794151
Sat Dec 13 08:46:02 2014  sqrtTime: 20
--
n: 477731414318245264868279957581351324706461417594037204694339285350290693789574339923488652831719529713167226377
m: 1000000000000000000000000000
deg: 5
c5: 12700
c0: -1
skew: 0.15
# Murphy_E = 2.937e-09
type: snfs
lss: 1
rlim: 1460000
alim: 1460000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
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 9, 2014 19:50:45 UTC 2014 年 12 月 10 日 (水) 4 時 50 分 45 秒 (日本時間)
403e6110Ignacio SantosDecember 9, 2014 19:50:45 UTC 2014 年 12 月 10 日 (水) 4 時 50 分 45 秒 (日本時間)
4511e6882 / 443732Ignacio SantosDecember 9, 2014 19:50:45 UTC 2014 年 12 月 10 日 (水) 4 時 50 分 45 秒 (日本時間)
850Pierre JammesDecember 13, 2014 07:20:19 UTC 2014 年 12 月 13 日 (土) 16 時 20 分 19 秒 (日本時間)

127×10139-19

c115

name 名前Serge Batalov
date 日付December 11, 2014 01:33:48 UTC 2014 年 12 月 11 日 (木) 10 時 33 分 48 秒 (日本時間)
composite number 合成数
4418713386821118281749750437897216025767030750832962870851997408085195091057906623775700668282951484514001009497027<115>
prime factors 素因数
4782568774114665010277485417568394301<37>
923920511240133172590488081165087139076790310922300275176652925083808793980927<78>
factorization results 素因数分解の結果
Input number is 4418713386821118281749750437897216025767030750832962870851997408085195091057906623775700668282951484514001009497027 (115 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2168271967
Step 1 took 6214ms
Step 2 took 5690ms
********** Factor found in step 2: 4782568774114665010277485417568394301
Found probable prime factor of 37 digits: 4782568774114665010277485417568394301
Probable prime cofactor 923920511240133172590488081165087139076790310922300275176652925083808793980927 has 78 digits

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 15:00:13 UTC 2014 年 12 月 11 日 (木) 0 時 0 分 13 秒 (日本時間)
403e6410 / 2126110Ignacio SantosDecember 10, 2014 15:00:13 UTC 2014 年 12 月 11 日 (木) 0 時 0 分 13 秒 (日本時間)
300Serge BatalovDecember 10, 2014 19:48:09 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 9 秒 (日本時間)
4511e632 / 4371Ignacio SantosDecember 10, 2014 15:00:13 UTC 2014 年 12 月 11 日 (木) 0 時 0 分 13 秒 (日本時間)

127×10140-19

c107

name 名前KTakahashi
date 日付December 6, 2014 19:10:50 UTC 2014 年 12 月 7 日 (日) 4 時 10 分 50 秒 (日本時間)
composite number 合成数
76765288111651003467096610590836914651109866941483187526397667375752674368099779579816131298795346734287303<107>
prime factors 素因数
1064652039618004538690677068343<31>
72103640677938556291074604476936221874838186722366055068612209141960430484721<77>
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 76765288111651003467096610590836914651109866941483187526397667375752674368099779579816131298795346734287303 (107 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=393567404
Step 1 took 2730ms
Step 2 took 1747ms
********** Factor found in step 2: 1064652039618004538690677068343
Found probable prime factor of 31 digits: 1064652039618004538690677068343
Probable prime cofactor 72103640677938556291074604476936221874838186722366055068612209141960430484721 has 77 digits

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)

127×10144-19

c123

name 名前Cyp
date 日付December 14, 2014 09:59:32 UTC 2014 年 12 月 14 日 (日) 18 時 59 分 32 秒 (日本時間)
composite number 合成数
111231491044401939154106450449198633549406931358867888588807414215329412721022113750430652615189656907997210283065086922111<123>
prime factors 素因数
99109837443402528969617388817557187<35>
1122305251564170692104664886782103746861981154101598241748935583575197185223024437717653<88>
factorization results 素因数分解の結果
12/14/14 09:54:09 v1.34.3, 
12/14/14 09:54:09 v1.34.3, ****************************
12/14/14 09:54:09 v1.34.3, Starting factorization of 111231491044401939154106450449198633549406931358867888588807414215329412721022113750430652615189656907997210283065086922111
12/14/14 09:54:09 v1.34.3, using pretesting plan: none
12/14/14 09:54:09 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/14/14 09:54:09 v1.34.3, ****************************
12/14/14 09:54:09 v1.34.3, nfs: commencing nfs on c123: 111231491044401939154106450449198633549406931358867888588807414215329412721022113750430652615189656907997210283065086922111
12/14/14 09:54:09 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/14/14 09:54:09 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/14/14 09:54:59 v1.34.3, nfs: commencing lattice sieving with 8 threads
[63 lines snipped]
12/14/14 10:53:00 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/14/14 10:53:55 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/14/14 10:54:50 v1.34.3, nfs: commencing msieve filtering
12/14/14 10:55:47 v1.34.3, nfs: commencing msieve linear algebra
12/14/14 10:59:06 v1.34.3, nfs: commencing msieve sqrt
12/14/14 10:59:31 v1.34.3, prp35 = 99109837443402528969617388817557187
12/14/14 10:59:31 v1.34.3, prp88 = 1122305251564170692104664886782103746861981154101598241748935583575197185223024437717653
12/14/14 10:59:31 v1.34.3, NFS elapsed time = 3922.6633 seconds.
12/14/14 10:59:31 v1.34.3, 
12/14/14 10:59:31 v1.34.3, 
12/14/14 10:59:31 v1.34.3, Total factoring time = 3922.6640 seconds
--
Sun Dec 14 10:54:50 2014  
Sun Dec 14 10:54:50 2014  commencing relation filtering
Sun Dec 14 10:54:50 2014  estimated available RAM is 15987.3 MB
Sun Dec 14 10:54:50 2014  commencing duplicate removal, pass 1
Sun Dec 14 10:55:03 2014  found 652483 hash collisions in 4476155 relations
Sun Dec 14 10:55:08 2014  added 183111 free relations
Sun Dec 14 10:55:08 2014  commencing duplicate removal, pass 2
Sun Dec 14 10:55:11 2014  found 500672 duplicates and 4158594 unique relations
Sun Dec 14 10:55:11 2014  memory use: 20.6 MB
Sun Dec 14 10:55:11 2014  reading ideals above 100000
Sun Dec 14 10:55:11 2014  commencing singleton removal, initial pass
Sun Dec 14 10:55:31 2014  memory use: 94.1 MB
Sun Dec 14 10:55:31 2014  reading all ideals from disk
Sun Dec 14 10:55:31 2014  memory use: 134.8 MB
Sun Dec 14 10:55:31 2014  keeping 4709153 ideals with weight <= 200, target excess is 21511
Sun Dec 14 10:55:32 2014  commencing in-memory singleton removal
Sun Dec 14 10:55:32 2014  begin with 4158594 relations and 4709153 unique ideals
Sun Dec 14 10:55:33 2014  reduce to 1589182 relations and 1469830 ideals in 15 passes
Sun Dec 14 10:55:33 2014  max relations containing the same ideal: 108
Sun Dec 14 10:55:34 2014  removing 276012 relations and 228812 ideals in 47200 cliques
Sun Dec 14 10:55:34 2014  commencing in-memory singleton removal
Sun Dec 14 10:55:34 2014  begin with 1313170 relations and 1469830 unique ideals
Sun Dec 14 10:55:34 2014  reduce to 1275630 relations and 1202099 ideals in 8 passes
Sun Dec 14 10:55:34 2014  max relations containing the same ideal: 91
Sun Dec 14 10:55:35 2014  removing 216378 relations and 169178 ideals in 47200 cliques
Sun Dec 14 10:55:35 2014  commencing in-memory singleton removal
Sun Dec 14 10:55:35 2014  begin with 1059252 relations and 1202099 unique ideals
Sun Dec 14 10:55:35 2014  reduce to 1031597 relations and 1004312 ideals in 9 passes
Sun Dec 14 10:55:35 2014  max relations containing the same ideal: 74
Sun Dec 14 10:55:36 2014  relations with 0 large ideals: 487
Sun Dec 14 10:55:36 2014  relations with 1 large ideals: 128
Sun Dec 14 10:55:36 2014  relations with 2 large ideals: 2179
Sun Dec 14 10:55:36 2014  relations with 3 large ideals: 18243
Sun Dec 14 10:55:36 2014  relations with 4 large ideals: 80344
Sun Dec 14 10:55:36 2014  relations with 5 large ideals: 201738
Sun Dec 14 10:55:36 2014  relations with 6 large ideals: 308047
Sun Dec 14 10:55:36 2014  relations with 7+ large ideals: 420431
Sun Dec 14 10:55:36 2014  commencing 2-way merge
Sun Dec 14 10:55:36 2014  reduce to 626028 relation sets and 598743 unique ideals
Sun Dec 14 10:55:36 2014  commencing full merge
Sun Dec 14 10:55:44 2014  memory use: 78.8 MB
Sun Dec 14 10:55:44 2014  found 313892 cycles, need 308943
Sun Dec 14 10:55:44 2014  weight of 308943 cycles is about 21656725 (70.10/cycle)
Sun Dec 14 10:55:44 2014  distribution of cycle lengths:
Sun Dec 14 10:55:44 2014  1 relations: 29893
Sun Dec 14 10:55:44 2014  2 relations: 31779
Sun Dec 14 10:55:44 2014  3 relations: 32330
Sun Dec 14 10:55:44 2014  4 relations: 30625
Sun Dec 14 10:55:44 2014  5 relations: 28575
Sun Dec 14 10:55:44 2014  6 relations: 25443
Sun Dec 14 10:55:44 2014  7 relations: 22889
Sun Dec 14 10:55:44 2014  8 relations: 20080
Sun Dec 14 10:55:44 2014  9 relations: 17519
Sun Dec 14 10:55:44 2014  10+ relations: 69810
Sun Dec 14 10:55:44 2014  heaviest cycle: 22 relations
Sun Dec 14 10:55:45 2014  commencing cycle optimization
Sun Dec 14 10:55:45 2014  start with 1984864 relations
Sun Dec 14 10:55:47 2014  pruned 55873 relations
Sun Dec 14 10:55:47 2014  memory use: 62.1 MB
Sun Dec 14 10:55:47 2014  distribution of cycle lengths:
Sun Dec 14 10:55:47 2014  1 relations: 29893
Sun Dec 14 10:55:47 2014  2 relations: 32453
Sun Dec 14 10:55:47 2014  3 relations: 33368
Sun Dec 14 10:55:47 2014  4 relations: 31549
Sun Dec 14 10:55:47 2014  5 relations: 29302
Sun Dec 14 10:55:47 2014  6 relations: 26085
Sun Dec 14 10:55:47 2014  7 relations: 23504
Sun Dec 14 10:55:47 2014  8 relations: 20258
Sun Dec 14 10:55:47 2014  9 relations: 17764
Sun Dec 14 10:55:47 2014  10+ relations: 64767
Sun Dec 14 10:55:47 2014  heaviest cycle: 22 relations
Sun Dec 14 10:55:47 2014  RelProcTime: 57
Sun Dec 14 10:55:47 2014  
Sun Dec 14 10:55:47 2014  commencing linear algebra
Sun Dec 14 10:55:47 2014  read 308943 cycles
Sun Dec 14 10:55:48 2014  cycles contain 998929 unique relations
Sun Dec 14 10:55:53 2014  read 998929 relations
Sun Dec 14 10:55:53 2014  using 20 quadratic characters above 67100282
Sun Dec 14 10:55:56 2014  building initial matrix
Sun Dec 14 10:56:03 2014  memory use: 117.6 MB
Sun Dec 14 10:56:03 2014  read 308943 cycles
Sun Dec 14 10:56:03 2014  matrix is 308771 x 308943 (91.8 MB) with weight 27383228 (88.64/col)
Sun Dec 14 10:56:03 2014  sparse part has weight 20653896 (66.85/col)
Sun Dec 14 10:56:04 2014  filtering completed in 2 passes
Sun Dec 14 10:56:04 2014  matrix is 308600 x 308776 (91.7 MB) with weight 27376512 (88.66/col)
Sun Dec 14 10:56:04 2014  sparse part has weight 20650886 (66.88/col)
Sun Dec 14 10:56:05 2014  matrix starts at (0, 0)
Sun Dec 14 10:56:05 2014  matrix is 308600 x 308776 (91.7 MB) with weight 27376512 (88.66/col)
Sun Dec 14 10:56:05 2014  sparse part has weight 20650886 (66.88/col)
Sun Dec 14 10:56:05 2014  saving the first 48 matrix rows for later
Sun Dec 14 10:56:05 2014  matrix includes 64 packed rows
Sun Dec 14 10:56:05 2014  matrix is 308552 x 308776 (86.5 MB) with weight 21650708 (70.12/col)
Sun Dec 14 10:56:05 2014  sparse part has weight 19591286 (63.45/col)
Sun Dec 14 10:56:05 2014  using block size 65536 for processor cache size 8192 kB
Sun Dec 14 10:56:06 2014  commencing Lanczos iteration (8 threads)
Sun Dec 14 10:56:06 2014  memory use: 82.9 MB
Sun Dec 14 10:56:13 2014  linear algebra at 3.9%, ETA 0h 2m
Sun Dec 14 10:59:06 2014  lanczos halted after 4880 iterations (dim = 308550)
Sun Dec 14 10:59:06 2014  recovered 38 nontrivial dependencies
Sun Dec 14 10:59:06 2014  BLanczosTime: 199
Sun Dec 14 10:59:06 2014  
Sun Dec 14 10:59:06 2014  commencing square root phase
Sun Dec 14 10:59:06 2014  reading relations for dependency 1
Sun Dec 14 10:59:06 2014  read 154783 cycles
Sun Dec 14 10:59:06 2014  cycles contain 499648 unique relations
Sun Dec 14 10:59:10 2014  read 499648 relations
Sun Dec 14 10:59:11 2014  multiplying 499648 relations
Sun Dec 14 10:59:20 2014  multiply complete, coefficients have about 15.10 million bits
Sun Dec 14 10:59:20 2014  initial square root is modulo 476476261
Sun Dec 14 10:59:31 2014  sqrtTime: 25
--
n: 111231491044401939154106450449198633549406931358867888588807414215329412721022113750430652615189656907997210283065086922111
m: 50000000000000000000000000000
deg: 5
c5: 2032
c0: -5
skew: 0.30
# Murphy_E = 1.756e-09
type: snfs
lss: 1
rlim: 1960000
alim: 1960000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 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 19:48:09 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 9 秒 (日本時間)

127×10145-19

c103

name 名前Dmitry Domanov
date 日付December 7, 2014 13:26:31 UTC 2014 年 12 月 7 日 (日) 22 時 26 分 31 秒 (日本時間)
composite number 合成数
1651614128235674775221190336212428772387150548222680167676845209034405218930934962943682542898252186109<103>
prime factors 素因数
1228195010718180165202702786808026288385253199<46>
1344749094258168862411087048012409631353410290457491855091<58>
factorization results 素因数分解の結果
N=1651614128235674775221190336212428772387150548222680167676845209034405218930934962943682542898252186109
  ( 103 digits)
Divisors found:
 r1=1228195010718180165202702786808026288385253199 (pp46)
 r2=1344749094258168862411087048012409631353410290457491855091 (pp58)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 4.65 hours.
Scaled time: 9.57 units (timescale=2.058).
Factorization parameters were as follows:
n: 1651614128235674775221190336212428772387150548222680167676845209034405218930934962943682542898252186109
skew: 7217160.19
c0: 251528203214541781909247804685
c1: 25766420312871317159570
c2: -60437511015832429
c3: -1263964138
c4: 456
Y0: -7757753475523586743804048
Y1: 977054379491
rlim: 2220000
alim: 2220000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 2220000/2220000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1110000, 1710001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 266552 x 266779
Total sieving time: 4.42 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
gnfs,102,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2220000,2220000,26,26,52,52,2.5,2.5,100000
total time: 4.65 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)

127×10146-19

c114

name 名前Serge Batalov
date 日付December 11, 2014 01:33:51 UTC 2014 年 12 月 11 日 (木) 10 時 33 分 51 秒 (日本時間)
composite number 合成数
136303899619968379197022300655593616649503407741129885016539920119069438210318906219717658944327052833120456450473<114>
prime factors 素因数
221169781001320077224750289423683364389<39>
616286271130118059512737637487689103550971675125551897909017813648422472757<75>
factorization results 素因数分解の結果
Input number is 136303899619968379197022300655593616649503407741129885016539920119069438210318906219717658944327052833120456450473 (114 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1335470424
Step 1 took 145671ms
Step 2 took 145591ms
********** Factor found in step 2: 221169781001320077224750289423683364389
Found probable prime factor of 39 digits: 221169781001320077224750289423683364389
Probable prime cofactor 616286271130118059512737637487689103550971675125551897909017813648422472757 has 75 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 19:48:10 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 10 秒 (日本時間)

127×10148-19

c144

name 名前Serge Batalov
date 日付December 11, 2014 01:33:55 UTC 2014 年 12 月 11 日 (木) 10 時 33 分 55 秒 (日本時間)
composite number 合成数
805249465650403797734015322565816462722973260011248130331211152261260969938832743345437437505983891206358807748909267406862120367675637906579649<144>
prime factors 素因数
1789089975944006045735823445652455778833<40>
450088858848765945302690880285132752002537635698552906375683461213190369014753644270972678375563259845553<105>
factorization results 素因数分解の結果
Input number is 805249465650403797734015322565816462722973260011248130331211152261260969938832743345437437505983891206358807748909267406862120367675637906579649 (144 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3999936351
Step 1 took 9145ms
Step 2 took 7164ms
********** Factor found in step 2: 1789089975944006045735823445652455778833
Found probable prime factor of 40 digits: 1789089975944006045735823445652455778833
Probable prime cofactor 450088858848765945302690880285132752002537635698552906375683461213190369014753644270972678375563259845553 has 105 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 19:48:10 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 10 秒 (日本時間)

127×10149-19

c110

name 名前Dmitry Domanov
date 日付December 19, 2014 09:55:29 UTC 2014 年 12 月 19 日 (金) 18 時 55 分 29 秒 (日本時間)
composite number 合成数
37103300376547356677056583705514065760420569945195434366565394762396683501827814076601572827273760684452145883<110>
prime factors 素因数
256255277651752962204195941334317684461665973634281<51>
144790385261723972942969795306300756969953094756094016087843<60>
factorization results 素因数分解の結果
N=37103300376547356677056583705514065760420569945195434366565394762396683501827814076601572827273760684452145883
  ( 110 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=256255277651752962204195941334317684461665973634281 (pp51)
 r2=144790385261723972942969795306300756969953094756094016087843 (pp60)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 13.24 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 37103300376547356677056583705514065760420569945195434366565394762396683501827814076601572827273760684452145883
m: 500000000000000000000000000000
deg: 5
c5: 2032
c0: -5
skew: 0.30
# Murphy_E = 1.137e-09
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1200000, 2000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 358782 x 359007
Total sieving time: 12.93 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,151.000,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,49,49,2.4,2.4,100000
total time: 13.24 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)
403e6300Pierre JammesDecember 10, 2014 12:12:09 UTC 2014 年 12 月 10 日 (水) 21 時 12 分 9 秒 (日本時間)
4511e6585 / 4409Pierre JammesDecember 13, 2014 15:28:38 UTC 2014 年 12 月 14 日 (日) 0 時 28 分 38 秒 (日本時間)

127×10153-19

c125

name 名前Serge Batalov
date 日付December 17, 2014 20:33:47 UTC 2014 年 12 月 18 日 (木) 5 時 33 分 47 秒 (日本時間)
composite number 合成数
41460072967621188796732221283072017676585171041376603000548444663280730848575413774336222509063952823821886842088350786017739<125>
prime factors 素因数
951446838190672766492734184641503803<36>
521767904349605350360059746743070525822207<42>
83515709342901658986445422082633451751497063759<47>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=439718283
Step 1 took 7818ms
Step 2 took 7344ms
********** Factor found in step 2: 951446838190672766492734184641503803
Found probable prime factor of 36 digits: 951446838190672766492734184641503803
Composite cofactor 

PRP42 = 521767904349605350360059746743070525822207
PRP47 = 83515709342901658986445422082633451751497063759

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 19:48:10 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 10 秒 (日本時間)

127×10155-19

c151

name 名前Cyp
date 日付December 15, 2014 07:00:59 UTC 2014 年 12 月 15 日 (月) 16 時 0 分 59 秒 (日本時間)
composite number 合成数
1995752974811240269329221139329801007713820966500736307130982524904089926429002345088318354971538519682445843985861268767738826022670182334820405018423<151>
prime factors 素因数
744164845790867131069910470837982295511037492261867363789971<60>
2681869462256360500085877837044034239243516847829101439048981018159492944472293182435732813<91>
factorization results 素因数分解の結果
12/15/14 05:36:04 v1.34.3, 
12/15/14 05:36:04 v1.34.3, ****************************
12/15/14 05:36:04 v1.34.3, Starting factorization of 1995752974811240269329221139329801007713820966500736307130982524904089926429002345088318354971538519682445843985861268767738826022670182334820405018423
12/15/14 05:36:04 v1.34.3, using pretesting plan: none
12/15/14 05:36:04 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/15/14 05:36:04 v1.34.3, ****************************
12/15/14 05:36:04 v1.34.3, nfs: commencing nfs on c151: 1995752974811240269329221139329801007713820966500736307130982524904089926429002345088318354971538519682445843985861268767738826022670182334820405018423
12/15/14 05:36:04 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/15/14 05:36:04 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/15/14 05:40:22 v1.34.3, nfs: commencing lattice sieving with 8 threads
[28 lines snipped]
12/15/14 07:46:24 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/15/14 07:50:44 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/15/14 07:55:05 v1.34.3, nfs: commencing msieve filtering
12/15/14 07:56:48 v1.34.3, nfs: commencing msieve linear algebra
12/15/14 08:00:29 v1.34.3, nfs: commencing msieve sqrt
12/15/14 08:00:58 v1.34.3, prp91 = 2681869462256360500085877837044034239243516847829101439048981018159492944472293182435732813
12/15/14 08:00:58 v1.34.3, prp60 = 744164845790867131069910470837982295511037492261867363789971
12/15/14 08:00:58 v1.34.3, NFS elapsed time = 8694.4116 seconds.
12/15/14 08:00:58 v1.34.3, 
12/15/14 08:00:58 v1.34.3, 
12/15/14 08:00:58 v1.34.3, Total factoring time = 8694.4124 seconds
--
Mon Dec 15 07:55:05 2014  
Mon Dec 15 07:55:05 2014  commencing relation filtering
Mon Dec 15 07:55:05 2014  estimated available RAM is 15987.3 MB
Mon Dec 15 07:55:05 2014  commencing duplicate removal, pass 1
Mon Dec 15 07:55:32 2014  found 1703306 hash collisions in 10142910 relations
Mon Dec 15 07:55:40 2014  added 360024 free relations
Mon Dec 15 07:55:40 2014  commencing duplicate removal, pass 2
Mon Dec 15 07:55:48 2014  found 784933 duplicates and 9718001 unique relations
Mon Dec 15 07:55:48 2014  memory use: 70.6 MB
Mon Dec 15 07:55:48 2014  reading ideals above 100000
Mon Dec 15 07:55:48 2014  commencing singleton removal, initial pass
Mon Dec 15 07:56:29 2014  memory use: 188.2 MB
Mon Dec 15 07:56:29 2014  reading all ideals from disk
Mon Dec 15 07:56:29 2014  memory use: 335.5 MB
Mon Dec 15 07:56:30 2014  keeping 9783748 ideals with weight <= 200, target excess is 51547
Mon Dec 15 07:56:30 2014  commencing in-memory singleton removal
Mon Dec 15 07:56:31 2014  begin with 9718001 relations and 9783748 unique ideals
Mon Dec 15 07:56:33 2014  reduce to 4815375 relations and 3788360 ideals in 12 passes
Mon Dec 15 07:56:33 2014  max relations containing the same ideal: 125
Mon Dec 15 07:56:35 2014  removing 1294525 relations and 894525 ideals in 400000 cliques
Mon Dec 15 07:56:35 2014  commencing in-memory singleton removal
Mon Dec 15 07:56:35 2014  begin with 3520850 relations and 3788360 unique ideals
Mon Dec 15 07:56:36 2014  reduce to 3295853 relations and 2646287 ideals in 8 passes
Mon Dec 15 07:56:36 2014  max relations containing the same ideal: 107
Mon Dec 15 07:56:37 2014  removing 1096632 relations and 696632 ideals in 400000 cliques
Mon Dec 15 07:56:37 2014  commencing in-memory singleton removal
Mon Dec 15 07:56:37 2014  begin with 2199221 relations and 2646287 unique ideals
Mon Dec 15 07:56:38 2014  reduce to 2002598 relations and 1730199 ideals in 8 passes
Mon Dec 15 07:56:38 2014  max relations containing the same ideal: 67
Mon Dec 15 07:56:38 2014  removing 618021 relations and 405417 ideals in 212604 cliques
Mon Dec 15 07:56:38 2014  commencing in-memory singleton removal
Mon Dec 15 07:56:38 2014  begin with 1384577 relations and 1730199 unique ideals
Mon Dec 15 07:56:39 2014  reduce to 1260223 relations and 1187693 ideals in 9 passes
Mon Dec 15 07:56:39 2014  max relations containing the same ideal: 49
Mon Dec 15 07:56:39 2014  removing 69653 relations and 56918 ideals in 12735 cliques
Mon Dec 15 07:56:39 2014  commencing in-memory singleton removal
Mon Dec 15 07:56:39 2014  begin with 1190570 relations and 1187693 unique ideals
Mon Dec 15 07:56:39 2014  reduce to 1187481 relations and 1127651 ideals in 6 passes
Mon Dec 15 07:56:39 2014  max relations containing the same ideal: 48
Mon Dec 15 07:56:39 2014  relations with 0 large ideals: 1158
Mon Dec 15 07:56:39 2014  relations with 1 large ideals: 697
Mon Dec 15 07:56:39 2014  relations with 2 large ideals: 10119
Mon Dec 15 07:56:39 2014  relations with 3 large ideals: 62058
Mon Dec 15 07:56:39 2014  relations with 4 large ideals: 189603
Mon Dec 15 07:56:39 2014  relations with 5 large ideals: 323762
Mon Dec 15 07:56:39 2014  relations with 6 large ideals: 331768
Mon Dec 15 07:56:39 2014  relations with 7+ large ideals: 268316
Mon Dec 15 07:56:39 2014  commencing 2-way merge
Mon Dec 15 07:56:39 2014  reduce to 739243 relation sets and 679413 unique ideals
Mon Dec 15 07:56:39 2014  commencing full merge
Mon Dec 15 07:56:46 2014  memory use: 87.1 MB
Mon Dec 15 07:56:46 2014  found 377564 cycles, need 369613
Mon Dec 15 07:56:46 2014  weight of 369613 cycles is about 26264870 (71.06/cycle)
Mon Dec 15 07:56:46 2014  distribution of cycle lengths:
Mon Dec 15 07:56:46 2014  1 relations: 31818
Mon Dec 15 07:56:46 2014  2 relations: 34897
Mon Dec 15 07:56:46 2014  3 relations: 38067
Mon Dec 15 07:56:46 2014  4 relations: 38653
Mon Dec 15 07:56:46 2014  5 relations: 38357
Mon Dec 15 07:56:46 2014  6 relations: 35613
Mon Dec 15 07:56:46 2014  7 relations: 31565
Mon Dec 15 07:56:46 2014  8 relations: 27337
Mon Dec 15 07:56:46 2014  9 relations: 22538
Mon Dec 15 07:56:46 2014  10+ relations: 70768
Mon Dec 15 07:56:46 2014  heaviest cycle: 20 relations
Mon Dec 15 07:56:46 2014  commencing cycle optimization
Mon Dec 15 07:56:46 2014  start with 2278737 relations
Mon Dec 15 07:56:48 2014  pruned 71307 relations
Mon Dec 15 07:56:48 2014  memory use: 71.7 MB
Mon Dec 15 07:56:48 2014  distribution of cycle lengths:
Mon Dec 15 07:56:48 2014  1 relations: 31818
Mon Dec 15 07:56:48 2014  2 relations: 35626
Mon Dec 15 07:56:48 2014  3 relations: 39409
Mon Dec 15 07:56:48 2014  4 relations: 40071
Mon Dec 15 07:56:48 2014  5 relations: 39997
Mon Dec 15 07:56:48 2014  6 relations: 36649
Mon Dec 15 07:56:48 2014  7 relations: 32651
Mon Dec 15 07:56:48 2014  8 relations: 27694
Mon Dec 15 07:56:48 2014  9 relations: 22530
Mon Dec 15 07:56:48 2014  10+ relations: 63168
Mon Dec 15 07:56:48 2014  heaviest cycle: 19 relations
Mon Dec 15 07:56:48 2014  RelProcTime: 103
Mon Dec 15 07:56:48 2014  
Mon Dec 15 07:56:48 2014  commencing linear algebra
Mon Dec 15 07:56:49 2014  read 369613 cycles
Mon Dec 15 07:56:49 2014  cycles contain 1153372 unique relations
Mon Dec 15 07:56:57 2014  read 1153372 relations
Mon Dec 15 07:56:58 2014  using 20 quadratic characters above 134208210
Mon Dec 15 07:57:02 2014  building initial matrix
Mon Dec 15 07:57:07 2014  memory use: 143.1 MB
Mon Dec 15 07:57:08 2014  read 369613 cycles
Mon Dec 15 07:57:08 2014  matrix is 369436 x 369613 (110.9 MB) with weight 32956732 (89.17/col)
Mon Dec 15 07:57:08 2014  sparse part has weight 24997315 (67.63/col)
Mon Dec 15 07:57:09 2014  filtering completed in 2 passes
Mon Dec 15 07:57:09 2014  matrix is 369317 x 369494 (110.9 MB) with weight 32951930 (89.18/col)
Mon Dec 15 07:57:09 2014  sparse part has weight 24995047 (67.65/col)
Mon Dec 15 07:57:10 2014  matrix starts at (0, 0)
Mon Dec 15 07:57:10 2014  matrix is 369317 x 369494 (110.9 MB) with weight 32951930 (89.18/col)
Mon Dec 15 07:57:10 2014  sparse part has weight 24995047 (67.65/col)
Mon Dec 15 07:57:10 2014  saving the first 48 matrix rows for later
Mon Dec 15 07:57:10 2014  matrix includes 64 packed rows
Mon Dec 15 07:57:10 2014  matrix is 369269 x 369494 (104.1 MB) with weight 25933121 (70.19/col)
Mon Dec 15 07:57:10 2014  sparse part has weight 23603402 (63.88/col)
Mon Dec 15 07:57:10 2014  using block size 65536 for processor cache size 8192 kB
Mon Dec 15 07:57:10 2014  commencing Lanczos iteration (8 threads)
Mon Dec 15 07:57:10 2014  memory use: 100.6 MB
Mon Dec 15 07:57:17 2014  linear algebra at 3.3%, ETA 0h 3m
Mon Dec 15 08:00:29 2014  lanczos halted after 5841 iterations (dim = 369265)
Mon Dec 15 08:00:29 2014  recovered 32 nontrivial dependencies
Mon Dec 15 08:00:29 2014  BLanczosTime: 221
Mon Dec 15 08:00:29 2014  
Mon Dec 15 08:00:29 2014  commencing square root phase
Mon Dec 15 08:00:29 2014  reading relations for dependency 1
Mon Dec 15 08:00:30 2014  read 184911 cycles
Mon Dec 15 08:00:30 2014  cycles contain 577676 unique relations
Mon Dec 15 08:00:37 2014  read 577676 relations
Mon Dec 15 08:00:38 2014  multiplying 577676 relations
Mon Dec 15 08:00:47 2014  multiply complete, coefficients have about 15.90 million bits
Mon Dec 15 08:00:47 2014  initial square root is modulo 1363750541
Mon Dec 15 08:00:58 2014  sqrtTime: 29
--
n: 1995752974811240269329221139329801007713820966500736307130982524904089926429002345088318354971538519682445843985861268767738826022670182334820405018423
m: 10000000000000000000000000000000
deg: 5
c5: 127
c0: -1
skew: 0.38
# Murphy_E = 8.074e-10
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 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 19:48:11 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 11 秒 (日本時間)

127×10157-19

c138

name 名前Cyp
date 日付December 17, 2014 13:34:14 UTC 2014 年 12 月 17 日 (水) 22 時 34 分 14 秒 (日本時間)
composite number 合成数
310389682454092666214134064773910861119414294444940546042555183186588552802958069127387421568087112832903357549975861993783629617344825511<138>
prime factors 素因数
10589131704046951702509511031166211917422974455826114604659883237<65>
29312099530830088279449107189873195204775955360728228255532828520855413403<74>
factorization results 素因数分解の結果
12/17/14 10:57:55 v1.34.3, 
12/17/14 10:57:55 v1.34.3, ****************************
12/17/14 10:57:55 v1.34.3, Starting factorization of 310389682454092666214134064773910861119414294444940546042555183186588552802958069127387421568087112832903357549975861993783629617344825511
12/17/14 10:57:55 v1.34.3, using pretesting plan: none
12/17/14 10:57:55 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/17/14 10:57:55 v1.34.3, ****************************
12/17/14 10:57:55 v1.34.3, nfs: commencing nfs on c138: 310389682454092666214134064773910861119414294444940546042555183186588552802958069127387421568087112832903357549975861993783629617344825511
12/17/14 10:57:55 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/17/14 10:57:55 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/17/14 10:59:11 v1.34.3, nfs: commencing lattice sieving with 8 threads
[151 lines snipped]
12/17/14 14:20:54 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/17/14 14:22:12 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/17/14 14:23:32 v1.34.3, nfs: commencing msieve filtering
12/17/14 14:25:16 v1.34.3, nfs: commencing msieve linear algebra
12/17/14 14:33:22 v1.34.3, nfs: commencing msieve sqrt
12/17/14 14:34:13 v1.34.3, prp74 = 29312099530830088279449107189873195204775955360728228255532828520855413403
12/17/14 14:34:13 v1.34.3, prp65 = 10589131704046951702509511031166211917422974455826114604659883237
12/17/14 14:34:13 v1.34.3, NFS elapsed time = 12978.0972 seconds.
12/17/14 14:34:13 v1.34.3, 
12/17/14 14:34:13 v1.34.3, 
12/17/14 14:34:13 v1.34.3, Total factoring time = 12978.0979 seconds
--
Wed Dec 17 14:23:32 2014  
Wed Dec 17 14:23:32 2014  commencing relation filtering
Wed Dec 17 14:23:32 2014  estimated available RAM is 15987.3 MB
Wed Dec 17 14:23:32 2014  commencing duplicate removal, pass 1
Wed Dec 17 14:23:59 2014  found 1874873 hash collisions in 10087717 relations
Wed Dec 17 14:24:07 2014  added 354301 free relations
Wed Dec 17 14:24:07 2014  commencing duplicate removal, pass 2
Wed Dec 17 14:24:15 2014  found 1632972 duplicates and 8809046 unique relations
Wed Dec 17 14:24:15 2014  memory use: 45.3 MB
Wed Dec 17 14:24:15 2014  reading ideals above 100000
Wed Dec 17 14:24:15 2014  commencing singleton removal, initial pass
Wed Dec 17 14:24:53 2014  memory use: 188.2 MB
Wed Dec 17 14:24:53 2014  reading all ideals from disk
Wed Dec 17 14:24:53 2014  memory use: 303.5 MB
Wed Dec 17 14:24:53 2014  keeping 9490777 ideals with weight <= 200, target excess is 45571
Wed Dec 17 14:24:53 2014  commencing in-memory singleton removal
Wed Dec 17 14:24:54 2014  begin with 8809046 relations and 9490777 unique ideals
Wed Dec 17 14:24:56 2014  reduce to 3843508 relations and 3334372 ideals in 13 passes
Wed Dec 17 14:24:56 2014  max relations containing the same ideal: 117
Wed Dec 17 14:24:57 2014  removing 931828 relations and 703691 ideals in 228137 cliques
Wed Dec 17 14:24:57 2014  commencing in-memory singleton removal
Wed Dec 17 14:24:58 2014  begin with 2911680 relations and 3334372 unique ideals
Wed Dec 17 14:24:58 2014  reduce to 2742820 relations and 2449325 ideals in 9 passes
Wed Dec 17 14:24:58 2014  max relations containing the same ideal: 93
Wed Dec 17 14:24:59 2014  removing 761255 relations and 533118 ideals in 228137 cliques
Wed Dec 17 14:24:59 2014  commencing in-memory singleton removal
Wed Dec 17 14:24:59 2014  begin with 1981565 relations and 2449325 unique ideals
Wed Dec 17 14:25:00 2014  reduce to 1843798 relations and 1766829 ideals in 8 passes
Wed Dec 17 14:25:00 2014  max relations containing the same ideal: 75
Wed Dec 17 14:25:00 2014  removing 126396 relations and 102290 ideals in 24106 cliques
Wed Dec 17 14:25:00 2014  commencing in-memory singleton removal
Wed Dec 17 14:25:00 2014  begin with 1717402 relations and 1766829 unique ideals
Wed Dec 17 14:25:01 2014  reduce to 1712418 relations and 1659486 ideals in 5 passes
Wed Dec 17 14:25:01 2014  max relations containing the same ideal: 72
Wed Dec 17 14:25:01 2014  relations with 0 large ideals: 1037
Wed Dec 17 14:25:01 2014  relations with 1 large ideals: 497
Wed Dec 17 14:25:01 2014  relations with 2 large ideals: 7678
Wed Dec 17 14:25:01 2014  relations with 3 large ideals: 54702
Wed Dec 17 14:25:01 2014  relations with 4 large ideals: 200211
Wed Dec 17 14:25:01 2014  relations with 5 large ideals: 409662
Wed Dec 17 14:25:01 2014  relations with 6 large ideals: 509384
Wed Dec 17 14:25:01 2014  relations with 7+ large ideals: 529247
Wed Dec 17 14:25:01 2014  commencing 2-way merge
Wed Dec 17 14:25:01 2014  reduce to 1081059 relation sets and 1028127 unique ideals
Wed Dec 17 14:25:01 2014  commencing full merge
Wed Dec 17 14:25:11 2014  memory use: 130.9 MB
Wed Dec 17 14:25:12 2014  found 559362 cycles, need 552327
Wed Dec 17 14:25:12 2014  weight of 552327 cycles is about 39067917 (70.73/cycle)
Wed Dec 17 14:25:12 2014  distribution of cycle lengths:
Wed Dec 17 14:25:12 2014  1 relations: 39488
Wed Dec 17 14:25:12 2014  2 relations: 54713
Wed Dec 17 14:25:12 2014  3 relations: 60132
Wed Dec 17 14:25:12 2014  4 relations: 60004
Wed Dec 17 14:25:12 2014  5 relations: 57153
Wed Dec 17 14:25:12 2014  6 relations: 52341
Wed Dec 17 14:25:12 2014  7 relations: 47215
Wed Dec 17 14:25:12 2014  8 relations: 40350
Wed Dec 17 14:25:12 2014  9 relations: 33906
Wed Dec 17 14:25:12 2014  10+ relations: 107025
Wed Dec 17 14:25:12 2014  heaviest cycle: 21 relations
Wed Dec 17 14:25:12 2014  commencing cycle optimization
Wed Dec 17 14:25:12 2014  start with 3434031 relations
Wed Dec 17 14:25:15 2014  pruned 100282 relations
Wed Dec 17 14:25:15 2014  memory use: 106.5 MB
Wed Dec 17 14:25:15 2014  distribution of cycle lengths:
Wed Dec 17 14:25:15 2014  1 relations: 39488
Wed Dec 17 14:25:15 2014  2 relations: 55907
Wed Dec 17 14:25:15 2014  3 relations: 62388
Wed Dec 17 14:25:15 2014  4 relations: 61808
Wed Dec 17 14:25:15 2014  5 relations: 59088
Wed Dec 17 14:25:15 2014  6 relations: 53883
Wed Dec 17 14:25:15 2014  7 relations: 48392
Wed Dec 17 14:25:15 2014  8 relations: 40681
Wed Dec 17 14:25:15 2014  9 relations: 34045
Wed Dec 17 14:25:15 2014  10+ relations: 96647
Wed Dec 17 14:25:15 2014  heaviest cycle: 20 relations
Wed Dec 17 14:25:16 2014  RelProcTime: 104
Wed Dec 17 14:25:16 2014  
Wed Dec 17 14:25:16 2014  commencing linear algebra
Wed Dec 17 14:25:16 2014  read 552327 cycles
Wed Dec 17 14:25:16 2014  cycles contain 1681798 unique relations
Wed Dec 17 14:25:26 2014  read 1681798 relations
Wed Dec 17 14:25:27 2014  using 20 quadratic characters above 134213334
Wed Dec 17 14:25:32 2014  building initial matrix
Wed Dec 17 14:25:41 2014  memory use: 201.0 MB
Wed Dec 17 14:25:41 2014  read 552327 cycles
Wed Dec 17 14:25:41 2014  matrix is 552150 x 552327 (165.8 MB) with weight 48708593 (88.19/col)
Wed Dec 17 14:25:41 2014  sparse part has weight 37388932 (67.69/col)
Wed Dec 17 14:25:44 2014  filtering completed in 2 passes
Wed Dec 17 14:25:44 2014  matrix is 552062 x 552239 (165.8 MB) with weight 48705847 (88.20/col)
Wed Dec 17 14:25:44 2014  sparse part has weight 37387996 (67.70/col)
Wed Dec 17 14:25:45 2014  matrix starts at (0, 0)
Wed Dec 17 14:25:45 2014  matrix is 552062 x 552239 (165.8 MB) with weight 48705847 (88.20/col)
Wed Dec 17 14:25:45 2014  sparse part has weight 37387996 (67.70/col)
Wed Dec 17 14:25:45 2014  saving the first 48 matrix rows for later
Wed Dec 17 14:25:45 2014  matrix includes 64 packed rows
Wed Dec 17 14:25:45 2014  matrix is 552014 x 552239 (156.2 MB) with weight 38779534 (70.22/col)
Wed Dec 17 14:25:45 2014  sparse part has weight 35414910 (64.13/col)
Wed Dec 17 14:25:45 2014  using block size 65536 for processor cache size 8192 kB
Wed Dec 17 14:25:46 2014  commencing Lanczos iteration (8 threads)
Wed Dec 17 14:25:46 2014  memory use: 151.2 MB
Wed Dec 17 14:25:49 2014  linear algebra at 0.5%, ETA 0h 9m
Wed Dec 17 14:33:21 2014  lanczos halted after 8733 iterations (dim = 552012)
Wed Dec 17 14:33:22 2014  recovered 39 nontrivial dependencies
Wed Dec 17 14:33:22 2014  BLanczosTime: 486
Wed Dec 17 14:33:22 2014  
Wed Dec 17 14:33:22 2014  commencing square root phase
Wed Dec 17 14:33:22 2014  reading relations for dependency 1
Wed Dec 17 14:33:22 2014  read 276725 cycles
Wed Dec 17 14:33:22 2014  cycles contain 840346 unique relations
Wed Dec 17 14:33:30 2014  read 840346 relations
Wed Dec 17 14:33:32 2014  multiplying 840346 relations
Wed Dec 17 14:33:49 2014  multiply complete, coefficients have about 27.72 million bits
Wed Dec 17 14:33:49 2014  initial square root is modulo 91515401
Wed Dec 17 14:34:13 2014  sqrtTime: 51
--
n: 310389682454092666214134064773910861119414294444940546042555183186588552802958069127387421568087112832903357549975861993783629617344825511
m: 10000000000000000000000000000000
deg: 5
c5: 12700
c0: -1
skew: 0.15
# Murphy_E = 5.165e-10
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 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 19:48:11 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 11 秒 (日本時間)

127×10159-19

c141

name 名前Serge Batalov
date 日付December 17, 2014 22:21:28 UTC 2014 年 12 月 18 日 (木) 7 時 21 分 28 秒 (日本時間)
composite number 合成数
274061310842265577254204109163606499455474885879088052636787598444902438008080235306120352198887018352911400096150814098673347977945589585323<141>
prime factors 素因数
6019915104215725648133809237341019913<37>
composite cofactor 合成数の残り
45525776709100331453252062872120635434836248418908362121233978407166491586315848933620225255393244055571<104>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1907710578
Step 1 took 9165ms
Step 2 took 7502ms
********** Factor found in step 2: 6019915104215725648133809237341019913
Found probable prime factor of 37 digits: 6019915104215725648133809237341019913
Composite cofactor

c104

name 名前Dmitry Domanov
date 日付December 18, 2014 18:09:38 UTC 2014 年 12 月 19 日 (金) 3 時 9 分 38 秒 (日本時間)
composite number 合成数
45525776709100331453252062872120635434836248418908362121233978407166491586315848933620225255393244055571<104>
prime factors 素因数
77239196550451501472182129404200231210201862743<47>
589412872509148474222329084898341834820750073119912786597<57>
factorization results 素因数分解の結果
N=45525776709100331453252062872120635434836248418908362121233978407166491586315848933620225255393244055571
  ( 104 digits)
Divisors found:
 r1=77239196550451501472182129404200231210201862743 (pp47)
 r2=589412872509148474222329084898341834820750073119912786597 (pp57)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 4.52 hours.
Scaled time: 7.61 units (timescale=1.685).
Factorization parameters were as follows:
n: 45525776709100331453252062872120635434836248418908362121233978407166491586315848933620225255393244055571
skew: 1212380.22
c0: 11710410199658487961733520800
c1: 30368121642874896995362
c2: -20065327316691464
c3: -48575488177
c4: 13104
Y0: -7677405495019038348602949
Y1: 21160636487047
rlim: 2360000
alim: 2360000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 2360000/2360000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1180000, 1780001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 267314 x 267541
Total sieving time: 4.36 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,103,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2360000,2360000,26,26,52,52,2.5,2.5,100000
total time: 4.52 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)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:48:12 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 12 秒 (日本時間)

127×10164-19

c154

name 名前Jo Yeong Uk
date 日付February 15, 2015 00:41:48 UTC 2015 年 2 月 15 日 (日) 9 時 41 分 48 秒 (日本時間)
composite number 合成数
1193751792303536791435252129548668356245403941136341294460845880456213183357493648321576617973214782997669513196770287155386661650888423635067680797947217<154>
prime factors 素因数
730240100997209588601640659922352051844396155533<48>
1634738753285884508122569947419506421641973317155465450410566986874822343117558576996033680973135018241749<106>
factorization results 素因数分解の結果
Number: 14111_164
N=1193751792303536791435252129548668356245403941136341294460845880456213183357493648321576617973214782997669513196770287155386661650888423635067680797947217
  ( 154 digits)
SNFS difficulty: 167 digits.
Divisors found:
 r1=730240100997209588601640659922352051844396155533
 r2=1634738753285884508122569947419506421641973317155465450410566986874822343117558576996033680973135018241749
Version: 
Total time: 16.06 hours.
Scaled time: 84.24 units (timescale=5.244).
Factorization parameters were as follows:
n: 1193751792303536791435252129548668356245403941136341294460845880456213183357493648321576617973214782997669513196770287155386661650888423635067680797947217
m: 1000000000000000000000000000000000
deg: 5
c5: 127
c0: -10
skew: 0.60
# Murphy_E = 2.992e-10
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2100000, 4400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 10024858
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 774444 x 774692
Total sieving time: 14.91 hours.
Total relation processing time: 0.56 hours.
Matrix solve time: 0.56 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 16.06 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.06 BogoMIPS (lpj=3400031)
Total of 12 processors activated (81600.74 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)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:48:12 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 12 秒 (日本時間)

127×10165-19

c146

name 名前Jo Yeong Uk
date 日付March 4, 2015 12:43:44 UTC 2015 年 3 月 4 日 (水) 21 時 43 分 44 秒 (日本時間)
composite number 合成数
54034974564020899209485719575454461749590110846195498334993488087016868956376036043561248917278486805117433690209059708258368761347442373571239869<146>
prime factors 素因数
27004332856859187557484713221873706807208409643<47>
2000974245519857068484050858581308135852358330956537849004410516529116322740569672301658658673926583<100>
factorization results 素因数分解の結果
Number: 14111_165
N=54034974564020899209485719575454461749590110846195498334993488087016868956376036043561248917278486805117433690209059708258368761347442373571239869
  ( 146 digits)
SNFS difficulty: 167 digits.
Divisors found:
 r1=27004332856859187557484713221873706807208409643
 r2=2000974245519857068484050858581308135852358330956537849004410516529116322740569672301658658673926583
Version: 
Total time: 14.81 hours.
Scaled time: 77.84 units (timescale=5.254).
Factorization parameters were as follows:
n: 54034974564020899209485719575454461749590110846195498334993488087016868956376036043561248917278486805117433690209059708258368761347442373571239869
m: 1000000000000000000000000000000000
deg: 5
c5: 127
c0: -1
skew: 0.38
# Murphy_E = 3.292e-10
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2100000, 4200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9734154
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 817640 x 817888
Total sieving time: 13.65 hours.
Total relation processing time: 0.49 hours.
Matrix solve time: 0.63 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 14.81 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.41 BogoMIPS (lpj=3400206)
Total of 12 processors activated (81604.94 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 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 19:48:13 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 13 秒 (日本時間)
2350Ignacio SantosFebruary 21, 2015 20:47:18 UTC 2015 年 2 月 22 日 (日) 5 時 47 分 18 秒 (日本時間)

127×10166-19

c156

name 名前Serge Batalov
date 日付December 17, 2014 22:22:05 UTC 2014 年 12 月 18 日 (木) 7 時 22 分 5 秒 (日本時間)
composite number 合成数
236607674869434095193954054244328755316804115366709379530875469798835029540399031375840961952001474679948100918353720106850100550930977836274968480517100453<156>
prime factors 素因数
1020062752764754457080794368823783338051<40>
231954038345325455557342933807132210324796089216810125427203523892288919953464982321778071799265928682382981436621303<117>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3002449464
Step 1 took 11141ms
Step 2 took 8500ms
********** Factor found in step 2: 1020062752764754457080794368823783338051
Found probable prime factor of 40 digits: 1020062752764754457080794368823783338051
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)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:48:13 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 13 秒 (日本時間)

127×10168-19

c146

name 名前Jo Yeong Uk
date 日付April 2, 2015 12:04:09 UTC 2015 年 4 月 2 日 (木) 21 時 4 分 9 秒 (日本時間)
composite number 合成数
59955734889192185227946876083738192264319119939257321237881840730642894912540386778856026428202764601970829182806868274043602875338346564005408491<146>
prime factors 素因数
80332766337043635154586945356157716328664215737<47>
746342216545142880978852569799423214266260816583475217434949662499891549466084229195459977533301443<99>
factorization results 素因数分解の結果
Number: 14111_168
N=59955734889192185227946876083738192264319119939257321237881840730642894912540386778856026428202764601970829182806868274043602875338346564005408491
  ( 146 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=80332766337043635154586945356157716328664215737
 r2=746342216545142880978852569799423214266260816583475217434949662499891549466084229195459977533301443
Version: 
Total time: 25.95 hours.
Scaled time: 134.95 units (timescale=5.200).
Factorization parameters were as follows:
n: 59955734889192185227946876083738192264319119939257321237881840730642894912540386778856026428202764601970829182806868274043602875338346564005408491
m: 2000000000000000000000000000000000
deg: 5
c5: 15875
c0: -4
skew: 0.19
# Murphy_E = 1.776e-10
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2800000, 6200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 11210960
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1053241 x 1053489
Total sieving time: 23.61 hours.
Total relation processing time: 0.94 hours.
Matrix solve time: 1.16 hours.
Time per square root: 0.25 hours.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
total time: 25.95 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.24 BogoMIPS (lpj=3400120)
Total of 12 processors activated (81602.88 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 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 19:48:14 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 14 秒 (日本時間)
2350Ignacio SantosFebruary 14, 2015 10:07:06 UTC 2015 年 2 月 14 日 (土) 19 時 7 分 6 秒 (日本時間)

127×10169-19

c166

name 名前Cyp
date 日付March 24, 2015 14:29:45 UTC 2015 年 3 月 24 日 (火) 23 時 29 分 45 秒 (日本時間)
composite number 合成数
6424947006834727091522611260352006151760283709470978969681332746487779953153535997409785143701275377275923649369899882124987984843195879939494199841146979516054778997<166>
prime factors 素因数
323610385605651795082722121826210385447418379<45>
25380146839508532842906684769738788950371482445228688506101<59>
782263323130277861595743696735667536679440983419243662045163043<63>
factorization results 素因数分解の結果
03/24/15 07:48:48 v1.34.3, 
03/24/15 07:48:48 v1.34.3, ****************************
03/24/15 07:48:48 v1.34.3, Starting factorization of 6424947006834727091522611260352006151760283709470978969681332746487779953153535997409785143701275377275923649369899882124987984843195879939494199841146979516054778997
03/24/15 07:48:48 v1.34.3, using pretesting plan: none
03/24/15 07:48:48 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
03/24/15 07:48:48 v1.34.3, ****************************
03/24/15 07:48:48 v1.34.3, nfs: commencing nfs on c166: 6424947006834727091522611260352006151760283709470978969681332746487779953153535997409785143701275377275923649369899882124987984843195879939494199841146979516054778997
03/24/15 07:48:48 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
03/24/15 07:48:48 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/24/15 07:53:47 v1.34.3, nfs: commencing lattice sieving with 8 threads
[71 lines snipped]
03/24/15 13:48:00 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/24/15 13:52:54 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/24/15 13:57:51 v1.34.3, nfs: commencing msieve filtering
03/24/15 13:59:36 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/24/15 14:04:37 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/24/15 14:09:32 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/24/15 14:14:22 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/24/15 14:19:22 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/24/15 14:24:21 v1.34.3, nfs: commencing msieve filtering
03/24/15 14:26:37 v1.34.3, nfs: commencing msieve linear algebra
03/24/15 15:18:16 v1.34.3, nfs: commencing msieve sqrt
03/24/15 15:29:43 v1.34.3, prp63 = 782263323130277861595743696735667536679440983419243662045163043
03/24/15 15:29:43 v1.34.3, prp45 = 323610385605651795082722121826210385447418379
03/24/15 15:29:43 v1.34.3, prp59 = 25380146839508532842906684769738788950371482445228688506101
03/24/15 15:29:43 v1.34.3, NFS elapsed time = 27655.5710 seconds.
03/24/15 15:29:43 v1.34.3, 
03/24/15 15:29:43 v1.34.3, 
03/24/15 15:29:43 v1.34.3, Total factoring time = 27655.5718 seconds
--
Tue Mar 24 13:57:51 2015  
Tue Mar 24 13:57:51 2015  commencing relation filtering
Tue Mar 24 13:57:51 2015  estimated available RAM is 15987.3 MB
Tue Mar 24 13:57:51 2015  commencing duplicate removal, pass 1
Tue Mar 24 13:58:20 2015  found 1393370 hash collisions in 10125715 relations
Tue Mar 24 13:58:34 2015  added 371195 free relations
Tue Mar 24 13:58:34 2015  commencing duplicate removal, pass 2
Tue Mar 24 13:58:42 2015  found 959548 duplicates and 9537362 unique relations
Tue Mar 24 13:58:42 2015  memory use: 41.3 MB
Tue Mar 24 13:58:42 2015  reading ideals above 100000
Tue Mar 24 13:58:42 2015  commencing singleton removal, initial pass
Tue Mar 24 13:59:27 2015  memory use: 344.5 MB
Tue Mar 24 13:59:27 2015  reading all ideals from disk
Tue Mar 24 13:59:27 2015  memory use: 348.6 MB
Tue Mar 24 13:59:28 2015  keeping 10925721 ideals with weight <= 200, target excess is 49278
Tue Mar 24 13:59:29 2015  commencing in-memory singleton removal
Tue Mar 24 13:59:30 2015  begin with 9537362 relations and 10925721 unique ideals
Tue Mar 24 13:59:36 2015  reduce to 3399331 relations and 3476529 ideals in 24 passes
Tue Mar 24 13:59:36 2015  max relations containing the same ideal: 102
Tue Mar 24 14:24:21 2015  
Tue Mar 24 14:24:21 2015  commencing relation filtering
Tue Mar 24 14:24:21 2015  estimated available RAM is 15987.3 MB
Tue Mar 24 14:24:21 2015  commencing duplicate removal, pass 1
Tue Mar 24 14:25:00 2015  found 1582537 hash collisions in 11121588 relations
Tue Mar 24 14:25:09 2015  added 1268 free relations
Tue Mar 24 14:25:09 2015  commencing duplicate removal, pass 2
Tue Mar 24 14:25:17 2015  found 1064851 duplicates and 10058005 unique relations
Tue Mar 24 14:25:17 2015  memory use: 41.3 MB
Tue Mar 24 14:25:17 2015  reading ideals above 720000
Tue Mar 24 14:25:17 2015  commencing singleton removal, initial pass
Tue Mar 24 14:26:00 2015  memory use: 344.5 MB
Tue Mar 24 14:26:00 2015  reading all ideals from disk
Tue Mar 24 14:26:00 2015  memory use: 296.7 MB
Tue Mar 24 14:26:00 2015  commencing in-memory singleton removal
Tue Mar 24 14:26:01 2015  begin with 10058005 relations and 11063828 unique ideals
Tue Mar 24 14:26:04 2015  reduce to 4145097 relations and 3959280 ideals in 17 passes
Tue Mar 24 14:26:04 2015  max relations containing the same ideal: 67
Tue Mar 24 14:26:05 2015  removing 309105 relations and 283106 ideals in 25999 cliques
Tue Mar 24 14:26:05 2015  commencing in-memory singleton removal
Tue Mar 24 14:26:05 2015  begin with 3835992 relations and 3959280 unique ideals
Tue Mar 24 14:26:07 2015  reduce to 3814692 relations and 3654674 ideals in 9 passes
Tue Mar 24 14:26:07 2015  max relations containing the same ideal: 65
Tue Mar 24 14:26:08 2015  removing 226303 relations and 200304 ideals in 25999 cliques
Tue Mar 24 14:26:08 2015  commencing in-memory singleton removal
Tue Mar 24 14:26:08 2015  begin with 3588389 relations and 3654674 unique ideals
Tue Mar 24 14:26:09 2015  reduce to 3576367 relations and 3442245 ideals in 8 passes
Tue Mar 24 14:26:09 2015  max relations containing the same ideal: 61
Tue Mar 24 14:26:10 2015  relations with 0 large ideals: 2754
Tue Mar 24 14:26:10 2015  relations with 1 large ideals: 2173
Tue Mar 24 14:26:10 2015  relations with 2 large ideals: 30267
Tue Mar 24 14:26:10 2015  relations with 3 large ideals: 179000
Tue Mar 24 14:26:10 2015  relations with 4 large ideals: 555769
Tue Mar 24 14:26:10 2015  relations with 5 large ideals: 979370
Tue Mar 24 14:26:10 2015  relations with 6 large ideals: 1028231
Tue Mar 24 14:26:10 2015  relations with 7+ large ideals: 798803
Tue Mar 24 14:26:10 2015  commencing 2-way merge
Tue Mar 24 14:26:11 2015  reduce to 2085875 relation sets and 1951754 unique ideals
Tue Mar 24 14:26:11 2015  ignored 1 oversize relation sets
Tue Mar 24 14:26:11 2015  commencing full merge
Tue Mar 24 14:26:30 2015  memory use: 224.5 MB
Tue Mar 24 14:26:30 2015  found 1033943 cycles, need 1017954
Tue Mar 24 14:26:30 2015  weight of 1017954 cycles is about 71502384 (70.24/cycle)
Tue Mar 24 14:26:30 2015  distribution of cycle lengths:
Tue Mar 24 14:26:30 2015  1 relations: 137363
Tue Mar 24 14:26:30 2015  2 relations: 122227
Tue Mar 24 14:26:30 2015  3 relations: 116704
Tue Mar 24 14:26:30 2015  4 relations: 102370
Tue Mar 24 14:26:30 2015  5 relations: 91254
Tue Mar 24 14:26:30 2015  6 relations: 76112
Tue Mar 24 14:26:30 2015  7 relations: 66060
Tue Mar 24 14:26:30 2015  8 relations: 56176
Tue Mar 24 14:26:30 2015  9 relations: 46601
Tue Mar 24 14:26:30 2015  10+ relations: 203087
Tue Mar 24 14:26:30 2015  heaviest cycle: 23 relations
Tue Mar 24 14:26:30 2015  commencing cycle optimization
Tue Mar 24 14:26:31 2015  start with 6084023 relations
Tue Mar 24 14:26:36 2015  pruned 133003 relations
Tue Mar 24 14:26:36 2015  memory use: 203.5 MB
Tue Mar 24 14:26:36 2015  distribution of cycle lengths:
Tue Mar 24 14:26:36 2015  1 relations: 137363
Tue Mar 24 14:26:36 2015  2 relations: 124809
Tue Mar 24 14:26:36 2015  3 relations: 120571
Tue Mar 24 14:26:36 2015  4 relations: 104400
Tue Mar 24 14:26:36 2015  5 relations: 93015
Tue Mar 24 14:26:36 2015  6 relations: 76850
Tue Mar 24 14:26:36 2015  7 relations: 66329
Tue Mar 24 14:26:36 2015  8 relations: 55951
Tue Mar 24 14:26:36 2015  9 relations: 45938
Tue Mar 24 14:26:36 2015  10+ relations: 192728
Tue Mar 24 14:26:36 2015  heaviest cycle: 23 relations
Tue Mar 24 14:26:37 2015  RelProcTime: 136
Tue Mar 24 14:26:37 2015  
Tue Mar 24 14:26:37 2015  commencing linear algebra
Tue Mar 24 14:26:37 2015  read 1017954 cycles
Tue Mar 24 14:26:38 2015  cycles contain 3434205 unique relations
Tue Mar 24 14:26:53 2015  read 3434205 relations
Tue Mar 24 14:26:55 2015  using 20 quadratic characters above 134214318
Tue Mar 24 14:27:06 2015  building initial matrix
Tue Mar 24 14:27:23 2015  memory use: 413.1 MB
Tue Mar 24 14:27:24 2015  read 1017954 cycles
Tue Mar 24 14:27:24 2015  matrix is 1017772 x 1017954 (305.6 MB) with weight 90269462 (88.68/col)
Tue Mar 24 14:27:24 2015  sparse part has weight 68917170 (67.70/col)
Tue Mar 24 14:27:30 2015  filtering completed in 2 passes
Tue Mar 24 14:27:31 2015  matrix is 1015143 x 1015325 (305.3 MB) with weight 90169969 (88.81/col)
Tue Mar 24 14:27:31 2015  sparse part has weight 68875448 (67.84/col)
Tue Mar 24 14:27:34 2015  matrix starts at (0, 0)
Tue Mar 24 14:27:34 2015  matrix is 1015143 x 1015325 (305.3 MB) with weight 90169969 (88.81/col)
Tue Mar 24 14:27:34 2015  sparse part has weight 68875448 (67.84/col)
Tue Mar 24 14:27:34 2015  saving the first 48 matrix rows for later
Tue Mar 24 14:27:34 2015  matrix includes 64 packed rows
Tue Mar 24 14:27:34 2015  matrix is 1015095 x 1015325 (289.5 MB) with weight 71848401 (70.76/col)
Tue Mar 24 14:27:34 2015  sparse part has weight 65732139 (64.74/col)
Tue Mar 24 14:27:34 2015  using block size 65536 for processor cache size 8192 kB
Tue Mar 24 14:27:36 2015  commencing Lanczos iteration (8 threads)
Tue Mar 24 14:27:36 2015  memory use: 282.7 MB
Tue Mar 24 14:27:41 2015  linear algebra at 0.1%, ETA 0h55m
Tue Mar 24 14:27:42 2015  checkpointing every 1220000 dimensions
Tue Mar 24 15:18:15 2015  lanczos halted after 16054 iterations (dim = 1015095)
Tue Mar 24 15:18:16 2015  recovered 39 nontrivial dependencies
Tue Mar 24 15:18:16 2015  BLanczosTime: 3099
Tue Mar 24 15:18:16 2015  
Tue Mar 24 15:18:16 2015  commencing square root phase
Tue Mar 24 15:18:16 2015  reading relations for dependency 1
Tue Mar 24 15:18:16 2015  read 507268 cycles
Tue Mar 24 15:18:17 2015  cycles contain 1715876 unique relations
Tue Mar 24 15:18:28 2015  read 1715876 relations
Tue Mar 24 15:18:32 2015  multiplying 1715876 relations
Tue Mar 24 15:19:13 2015  multiply complete, coefficients have about 54.89 million bits
Tue Mar 24 15:19:13 2015  initial square root is modulo 75949121
Tue Mar 24 15:20:04 2015  found factor: 25380146839508532842906684769738788950371482445228688506101
Tue Mar 24 15:20:04 2015  reading relations for dependency 2
Tue Mar 24 15:20:04 2015  read 507058 cycles
Tue Mar 24 15:20:05 2015  cycles contain 1713728 unique relations
Tue Mar 24 15:20:16 2015  read 1713728 relations
Tue Mar 24 15:20:20 2015  multiplying 1713728 relations
Tue Mar 24 15:21:01 2015  multiply complete, coefficients have about 54.82 million bits
Tue Mar 24 15:21:01 2015  initial square root is modulo 74128961
Tue Mar 24 15:21:58 2015  Newton iteration failed to converge
Tue Mar 24 15:21:58 2015  algebraic square root failed
Tue Mar 24 15:21:58 2015  reading relations for dependency 3
Tue Mar 24 15:21:58 2015  read 507021 cycles
Tue Mar 24 15:21:58 2015  cycles contain 1715074 unique relations
Tue Mar 24 15:22:09 2015  read 1715074 relations
Tue Mar 24 15:22:13 2015  multiplying 1715074 relations
Tue Mar 24 15:22:58 2015  multiply complete, coefficients have about 54.86 million bits
Tue Mar 24 15:22:58 2015  initial square root is modulo 75240791
Tue Mar 24 15:23:55 2015  GCD is 1, no factor found
Tue Mar 24 15:23:55 2015  reading relations for dependency 4
Tue Mar 24 15:23:56 2015  read 507450 cycles
Tue Mar 24 15:23:56 2015  cycles contain 1714582 unique relations
Tue Mar 24 15:24:07 2015  read 1714582 relations
Tue Mar 24 15:24:11 2015  multiplying 1714582 relations
Tue Mar 24 15:24:56 2015  multiply complete, coefficients have about 54.85 million bits
Tue Mar 24 15:24:56 2015  initial square root is modulo 74883901
Tue Mar 24 15:25:53 2015  GCD is N, no factor found
Tue Mar 24 15:25:53 2015  reading relations for dependency 5
Tue Mar 24 15:25:53 2015  read 507634 cycles
Tue Mar 24 15:25:54 2015  cycles contain 1716468 unique relations
Tue Mar 24 15:26:04 2015  read 1716468 relations
Tue Mar 24 15:26:09 2015  multiplying 1716468 relations
Tue Mar 24 15:26:54 2015  multiply complete, coefficients have about 54.91 million bits
Tue Mar 24 15:26:54 2015  initial square root is modulo 76354441
Tue Mar 24 15:27:51 2015  GCD is N, no factor found
Tue Mar 24 15:27:51 2015  reading relations for dependency 6
Tue Mar 24 15:27:51 2015  read 507014 cycles
Tue Mar 24 15:27:51 2015  cycles contain 1716108 unique relations
Tue Mar 24 15:28:02 2015  read 1716108 relations
Tue Mar 24 15:28:06 2015  multiplying 1716108 relations
Tue Mar 24 15:28:47 2015  multiply complete, coefficients have about 54.90 million bits
Tue Mar 24 15:28:47 2015  initial square root is modulo 76178741
Tue Mar 24 15:29:43 2015  sqrtTime: 687
--
n: 6424947006834727091522611260352006151760283709470978969681332746487779953153535997409785143701275377275923649369899882124987984843195879939494199841146979516054778997
m: 5000000000000000000000000000000000
deg: 5
c5: 2032
c0: -5
skew: 0.30
# Murphy_E = 1.899e-10
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
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)
403e62630280CypDecember 8, 2014 15:50:57 UTC 2014 年 12 月 9 日 (火) 0 時 50 分 57 秒 (日本時間)
2350Ignacio SantosFebruary 15, 2015 22:27:36 UTC 2015 年 2 月 16 日 (月) 7 時 27 分 36 秒 (日本時間)

127×10171-19

c165

name 名前Ben Meekins
date 日付January 8, 2015 03:42:33 UTC 2015 年 1 月 8 日 (木) 12 時 42 分 33 秒 (日本時間)
composite number 合成数
310420121786222006805323220148852901224221921759986862433825304496535922868743986878096598063599769148132611661790296527550324766297705953992125345455126653450639973<165>
prime factors 素因数
84892579272539305850621346320015585793329411<44>
3656622574626324269862892862790539352119709459645137678649222005707374147825220213386842757109463139263070552132572532343<121>
factorization results 素因数分解の結果
Number: 14111_171
N = 310420121786222006805323220148852901224221921759986862433825304496535922868743986878096598063599769148132611661790296527550324766297705953992125345455126653450639973 (165 digits)
SNFS difficulty: 174 digits.
Divisors found:
r1=84892579272539305850621346320015585793329411 (pp44)
r2=3656622574626324269862892862790539352119709459645137678649222005707374147825220213386842757109463139263070552132572532343 (pp121)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 9.42 hours.
Factorization parameters were as follows:
n: 310420121786222006805323220148852901224221921759986862433825304496535922868743986878096598063599769148132611661790296527550324766297705953992125345455126653450639973
m: 10000000000000000000000000000000000
deg: 5
c5: 1270
c0: -1
skew: 0.24
# Murphy_E = 2.056e-10
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Sieved rational special-q in [0, 0)
Total raw relations: 12479674
Relations: 1122442 relations
Pruned matrix : 725854 x 726081
Polynomial selection time: 0.00 hours.
Total sieving time: 8.91 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.41 hours.
time per square root: 0.02 hours.
Prototype def-par.txt line would be: snfs,174,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,52,52,2.4,2.4,200000
total time: 9.42 hours.
x86_64
Linux-3.13.0-43-generic-x86_64-with-Ubuntu-14.04-trusty
processors: 4, speed: 2.50GHz

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 19:48:14 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 14 秒 (日本時間)

127×10172-19

c140

name 名前Jo Yeong Uk
date 日付May 2, 2015 14:25:42 UTC 2015 年 5 月 2 日 (土) 23 時 25 分 42 秒 (日本時間)
composite number 合成数
18612607847888034483558381226729725248753758523385171176493222237704736287242353757365147880416549016657575066694213918847514526835544087829<140>
prime factors 素因数
14803708823341524826481131881411756352048369797874783468905045157873<68>
1257293565416585708049875100995704569006497076619802295199773369769724773<73>
factorization results 素因数分解の結果
Number: 14111_172
N=18612607847888034483558381226729725248753758523385171176493222237704736287242353757365147880416549016657575066694213918847514526835544087829
  ( 140 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=14803708823341524826481131881411756352048369797874783468905045157873
 r2=1257293565416585708049875100995704569006497076619802295199773369769724773
Version: 
Total time: 33.68 hours.
Scaled time: 176.91 units (timescale=5.252).
Factorization parameters were as follows:
n: 18612607847888034483558381226729725248753758523385171176493222237704736287242353757365147880416549016657575066694213918847514526835544087829
m: 10000000000000000000000000000000000
deg: 5
c5: 12700
c0: -1
skew: 0.15
# Murphy_E = 1.331e-10
type: snfs
lss: 1
rlim: 6400000
alim: 6400000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [3200000, 7400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 16600661
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1173103 x 1173351
Total sieving time: 30.34 hours.
Total relation processing time: 1.69 hours.
Matrix solve time: 1.57 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,6400000,6400000,28,28,52,52,2.4,2.4,100000
total time: 33.68 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.18 BogoMIPS (lpj=3400094)
Total of 12 processors activated (81602.25 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
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 19:48:15 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 15 秒 (日本時間)
2350Ignacio SantosMarch 4, 2015 18:42:31 UTC 2015 年 3 月 5 日 (木) 3 時 42 分 31 秒 (日本時間)
4511e6624 / 3889Pierre JammesApril 8, 2015 07:59:39 UTC 2015 年 4 月 8 日 (水) 16 時 59 分 39 秒 (日本時間)

127×10173-19

c146

name 名前Jo Yeong Uk
date 日付May 8, 2015 12:33:18 UTC 2015 年 5 月 8 日 (金) 21 時 33 分 18 秒 (日本時間)
composite number 合成数
50605568537174204707187751441499870446997528098445463513667373102687541505281391834453030278263887479325311847841238159270136624094894989952860211<146>
prime factors 素因数
1324502625576571020742019066326300704152145059053<49>
38207224025052443026561967073635608324659938025599669708660853791770755929646975011047212829904287<98>
factorization results 素因数分解の結果
Number: 14111_173
N=50605568537174204707187751441499870446997528098445463513667373102687541505281391834453030278263887479325311847841238159270136624094894989952860211
  ( 146 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=1324502625576571020742019066326300704152145059053
 r2=38207224025052443026561967073635608324659938025599669708660853791770755929646975011047212829904287
Version: 
Total time: 39.32 hours.
Scaled time: 206.64 units (timescale=5.255).
Factorization parameters were as follows:
n: 50605568537174204707187751441499870446997528098445463513667373102687541505281391834453030278263887479325311847841238159270136624094894989952860211
m: 20000000000000000000000000000000000
deg: 5
c5: 15875
c0: -4
skew: 0.19
# Murphy_E = 1.124e-10
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [3600000, 8300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 16710617
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1257656 x 1257904
Total sieving time: 35.54 hours.
Total relation processing time: 1.93 hours.
Matrix solve time: 1.77 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,52,52,2.5,2.5,100000
total time: 39.32 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.18 BogoMIPS (lpj=3400094)
Total of 12 processors activated (81602.25 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
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)
403e63430280CypDecember 7, 2014 18:14:42 UTC 2014 年 12 月 8 日 (月) 3 時 14 分 42 秒 (日本時間)
800KTakahashiMarch 25, 2015 10:18:34 UTC 2015 年 3 月 25 日 (水) 19 時 18 分 34 秒 (日本時間)
2350Ignacio SantosMarch 29, 2015 08:59:19 UTC 2015 年 3 月 29 日 (日) 17 時 59 分 19 秒 (日本時間)

127×10177-19

c147

name 名前Serge Batalov
date 日付December 11, 2014 01:33:58 UTC 2014 年 12 月 11 日 (木) 10 時 33 分 58 秒 (日本時間)
composite number 合成数
330169943727458277209833636908543383864450936168278463985597754133467357297409853768547893863289252290351624857503115059911053937129152165005093511<147>
prime factors 素因数
751261362162088459806802765377881<33>
439487454508837674795903908968921880996246331334992939079499301878471200450659664336896683298168039013118672363231<114>
factorization results 素因数分解の結果
Input number is 330169943727458277209833636908543383864450936168278463985597754133467357297409853768547893863289252290351624857503115059911053937129152165005093511 (147 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1285156788
Step 1 took 9141ms
Step 2 took 7365ms
********** Factor found in step 2: 751261362162088459806802765377881
Found probable prime factor of 33 digits: 751261362162088459806802765377881
Probable prime cofactor 439487454508837674795903908968921880996246331334992939079499301878471200450659664336896683298168039013118672363231 has 114 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 19:48:15 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 15 秒 (日本時間)

127×10178-19

c164

name 名前Cyp
date 日付December 10, 2014 02:51:36 UTC 2014 年 12 月 10 日 (水) 11 時 51 分 36 秒 (日本時間)
composite number 合成数
11987841759592327418754295513744300399535411471234583242478583197808026602972513579017783228094769087945934164066039741726863143557854945237161536871846316855867897<164>
prime factors 素因数
680446614347239021866491253991<30>
17617608063334130173531795770358872153005172764064244199470950550479450953369555701970957051562371951027198088875803878093272283905567<134>
factorization results 素因数分解の結果
Run 8 out of 280:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1981145344
Step 1 took 13530ms
Step 2 took 4923ms
********** Factor found in step 2: 680446614347239021866491253991
Found probable prime factor of 30 digits: 680446614347239021866491253991
Probable prime cofactor 17617608063334130173531795770358872153005172764064244199470950550479450953369555701970957051562371951027198088875803878093272283905567 has 134 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 / 882Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e68 / 2318CypDecember 10, 2014 02:51:36 UTC 2014 年 12 月 10 日 (水) 11 時 51 分 36 秒 (日本時間)

127×10180-19

c132

name 名前Serge Batalov
date 日付December 11, 2014 01:34:02 UTC 2014 年 12 月 11 日 (木) 10 時 34 分 2 秒 (日本時間)
composite number 合成数
545743002621999966897241208248963395470313339577847883726981168662955797737203398520336186990313230448247016575776844590128228481547<132>
prime factors 素因数
685356405247359882393343868267<30>
composite cofactor 合成数の残り
796290803505410542404198535508031129014229995025691570658126336536887423326589132302890342338312207841<102>
factorization results 素因数分解の結果
Input number is 545743002621999966897241208248963395470313339577847883726981168662955797737203398520336186990313230448247016575776844590128228481547 (132 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=200713932
Step 1 took 7568ms
Step 2 took 6513ms
********** Factor found in step 2: 685356405247359882393343868267
Found probable prime factor of 30 digits: 685356405247359882393343868267
Composite cofactor 796290803505410542404198535508031129014229995025691570658126336536887423326589132302890342338312207841 has 102 digits

c102

name 名前Cyp
date 日付December 11, 2014 19:01:39 UTC 2014 年 12 月 12 日 (金) 4 時 1 分 39 秒 (日本時間)
composite number 合成数
796290803505410542404198535508031129014229995025691570658126336536887423326589132302890342338312207841<102>
prime factors 素因数
25309107252327480580451976196411421515001<41>
31462619189469115202811172820539061505842653687440983438092841<62>
factorization results 素因数分解の結果
12/11/14 19:21:45 v1.34.3, 
12/11/14 19:21:45 v1.34.3, ****************************
12/11/14 19:21:45 v1.34.3, Starting factorization of 796290803505410542404198535508031129014229995025691570658126336536887423326589132302890342338312207841
12/11/14 19:21:45 v1.34.3, using pretesting plan: none
12/11/14 19:21:45 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/11/14 19:21:45 v1.34.3, ****************************
12/11/14 19:21:45 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C102
12/11/14 19:21:45 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C102
12/11/14 19:21:45 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C102
12/11/14 19:21:45 v1.34.3, final ECM pretested depth: 0.00
12/11/14 19:21:45 v1.34.3, scheduler: switching to sieve method
12/11/14 19:21:45 v1.34.3, nfs: commencing nfs on c102: 796290803505410542404198535508031129014229995025691570658126336536887423326589132302890342338312207841
12/11/14 19:21:45 v1.34.3, nfs: commencing poly selection with 8 threads
12/11/14 19:21:45 v1.34.3, nfs: setting deadline of 188 seconds
12/11/14 19:25:40 v1.34.3, nfs: completed 43 ranges of size 250 in 235.1761 seconds
12/11/14 19:25:40 v1.34.3, nfs: best poly = # norm 5.466705e-14 alpha -4.504201 e 8.531e-09 rroots 2
12/11/14 19:25:40 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/11/14 19:27:07 v1.34.3, nfs: commencing lattice sieving with 8 threads
[14 lines snipped]
12/11/14 19:48:50 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/11/14 19:50:19 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/11/14 19:51:55 v1.34.3, nfs: commencing msieve filtering
12/11/14 19:52:38 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/11/14 19:53:56 v1.34.3, nfs: commencing msieve filtering
12/11/14 19:54:46 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/11/14 19:56:19 v1.34.3, nfs: commencing msieve filtering
12/11/14 19:57:25 v1.34.3, nfs: commencing msieve linear algebra
12/11/14 20:01:05 v1.34.3, nfs: commencing msieve sqrt
12/11/14 20:01:38 v1.34.3, prp62 = 31462619189469115202811172820539061505842653687440983438092841
12/11/14 20:01:38 v1.34.3, prp41 = 25309107252327480580451976196411421515001
12/11/14 20:01:38 v1.34.3, NFS elapsed time = 2393.3602 seconds.
12/11/14 20:01:38 v1.34.3, 
12/11/14 20:01:38 v1.34.3, 
12/11/14 20:01:38 v1.34.3, Total factoring time = 2393.3822 seconds
--
Thu Dec 11 19:51:55 2014  
Thu Dec 11 19:51:55 2014  commencing relation filtering
Thu Dec 11 19:51:55 2014  estimated available RAM is 15987.3 MB
Thu Dec 11 19:51:55 2014  commencing duplicate removal, pass 1
Thu Dec 11 19:52:08 2014  found 434943 hash collisions in 4563358 relations
Thu Dec 11 19:52:12 2014  added 156899 free relations
Thu Dec 11 19:52:12 2014  commencing duplicate removal, pass 2
Thu Dec 11 19:52:15 2014  found 199973 duplicates and 4520284 unique relations
Thu Dec 11 19:52:15 2014  memory use: 20.6 MB
Thu Dec 11 19:52:15 2014  reading ideals above 100000
Thu Dec 11 19:52:15 2014  commencing singleton removal, initial pass
Thu Dec 11 19:52:35 2014  memory use: 172.2 MB
Thu Dec 11 19:52:35 2014  reading all ideals from disk
Thu Dec 11 19:52:35 2014  memory use: 142.6 MB
Thu Dec 11 19:52:35 2014  keeping 5391942 ideals with weight <= 200, target excess is 24691
Thu Dec 11 19:52:35 2014  commencing in-memory singleton removal
Thu Dec 11 19:52:36 2014  begin with 4520284 relations and 5391942 unique ideals
Thu Dec 11 19:52:38 2014  reduce to 1050781 relations and 1107303 ideals in 28 passes
Thu Dec 11 19:52:38 2014  max relations containing the same ideal: 74
Thu Dec 11 19:53:56 2014  
Thu Dec 11 19:53:56 2014  commencing relation filtering
Thu Dec 11 19:53:56 2014  estimated available RAM is 15987.3 MB
Thu Dec 11 19:53:56 2014  commencing duplicate removal, pass 1
Thu Dec 11 19:54:14 2014  found 493298 hash collisions in 4952201 relations
Thu Dec 11 19:54:18 2014  added 925 free relations
Thu Dec 11 19:54:18 2014  commencing duplicate removal, pass 2
Thu Dec 11 19:54:21 2014  found 218702 duplicates and 4734424 unique relations
Thu Dec 11 19:54:21 2014  memory use: 20.6 MB
Thu Dec 11 19:54:21 2014  reading ideals above 100000
Thu Dec 11 19:54:21 2014  commencing singleton removal, initial pass
Thu Dec 11 19:54:42 2014  memory use: 172.2 MB
Thu Dec 11 19:54:43 2014  reading all ideals from disk
Thu Dec 11 19:54:43 2014  memory use: 149.4 MB
Thu Dec 11 19:54:43 2014  keeping 5493447 ideals with weight <= 200, target excess is 25969
Thu Dec 11 19:54:43 2014  commencing in-memory singleton removal
Thu Dec 11 19:54:44 2014  begin with 4734424 relations and 5493447 unique ideals
Thu Dec 11 19:54:46 2014  reduce to 1341163 relations and 1342030 ideals in 20 passes
Thu Dec 11 19:54:46 2014  max relations containing the same ideal: 84
Thu Dec 11 19:56:19 2014  
Thu Dec 11 19:56:19 2014  commencing relation filtering
Thu Dec 11 19:56:19 2014  estimated available RAM is 15987.3 MB
Thu Dec 11 19:56:19 2014  commencing duplicate removal, pass 1
Thu Dec 11 19:56:35 2014  found 542790 hash collisions in 5222819 relations
Thu Dec 11 19:56:39 2014  added 965 free relations
Thu Dec 11 19:56:39 2014  commencing duplicate removal, pass 2
Thu Dec 11 19:56:43 2014  found 241499 duplicates and 4982285 unique relations
Thu Dec 11 19:56:43 2014  memory use: 20.6 MB
Thu Dec 11 19:56:43 2014  reading ideals above 100000
Thu Dec 11 19:56:43 2014  commencing singleton removal, initial pass
Thu Dec 11 19:57:04 2014  memory use: 172.2 MB
Thu Dec 11 19:57:05 2014  reading all ideals from disk
Thu Dec 11 19:57:05 2014  memory use: 157.3 MB
Thu Dec 11 19:57:05 2014  keeping 5604279 ideals with weight <= 200, target excess is 27570
Thu Dec 11 19:57:05 2014  commencing in-memory singleton removal
Thu Dec 11 19:57:06 2014  begin with 4982285 relations and 5604279 unique ideals
Thu Dec 11 19:57:09 2014  reduce to 1667776 relations and 1591580 ideals in 20 passes
Thu Dec 11 19:57:09 2014  max relations containing the same ideal: 94
Thu Dec 11 19:57:09 2014  removing 233676 relations and 211569 ideals in 22107 cliques
Thu Dec 11 19:57:10 2014  commencing in-memory singleton removal
Thu Dec 11 19:57:10 2014  begin with 1434100 relations and 1591580 unique ideals
Thu Dec 11 19:57:11 2014  reduce to 1404571 relations and 1349931 ideals in 10 passes
Thu Dec 11 19:57:11 2014  max relations containing the same ideal: 85
Thu Dec 11 19:57:11 2014  removing 170554 relations and 148447 ideals in 22107 cliques
Thu Dec 11 19:57:11 2014  commencing in-memory singleton removal
Thu Dec 11 19:57:11 2014  begin with 1234017 relations and 1349931 unique ideals
Thu Dec 11 19:57:12 2014  reduce to 1215257 relations and 1182419 ideals in 8 passes
Thu Dec 11 19:57:12 2014  max relations containing the same ideal: 75
Thu Dec 11 19:57:12 2014  relations with 0 large ideals: 453
Thu Dec 11 19:57:12 2014  relations with 1 large ideals: 698
Thu Dec 11 19:57:12 2014  relations with 2 large ideals: 7481
Thu Dec 11 19:57:12 2014  relations with 3 large ideals: 43544
Thu Dec 11 19:57:12 2014  relations with 4 large ideals: 149490
Thu Dec 11 19:57:12 2014  relations with 5 large ideals: 314529
Thu Dec 11 19:57:12 2014  relations with 6 large ideals: 357832
Thu Dec 11 19:57:12 2014  relations with 7+ large ideals: 341230
Thu Dec 11 19:57:12 2014  commencing 2-way merge
Thu Dec 11 19:57:13 2014  reduce to 674540 relation sets and 641703 unique ideals
Thu Dec 11 19:57:13 2014  ignored 1 oversize relation sets
Thu Dec 11 19:57:13 2014  commencing full merge
Thu Dec 11 19:57:21 2014  memory use: 67.7 MB
Thu Dec 11 19:57:21 2014  found 317014 cycles, need 313903
Thu Dec 11 19:57:21 2014  weight of 313903 cycles is about 22189629 (70.69/cycle)
Thu Dec 11 19:57:21 2014  distribution of cycle lengths:
Thu Dec 11 19:57:21 2014  1 relations: 33181
Thu Dec 11 19:57:21 2014  2 relations: 32698
Thu Dec 11 19:57:21 2014  3 relations: 32451
Thu Dec 11 19:57:21 2014  4 relations: 29314
Thu Dec 11 19:57:21 2014  5 relations: 27299
Thu Dec 11 19:57:21 2014  6 relations: 23445
Thu Dec 11 19:57:21 2014  7 relations: 20385
Thu Dec 11 19:57:21 2014  8 relations: 17967
Thu Dec 11 19:57:21 2014  9 relations: 16010
Thu Dec 11 19:57:21 2014  10+ relations: 81153
Thu Dec 11 19:57:21 2014  heaviest cycle: 27 relations
Thu Dec 11 19:57:21 2014  commencing cycle optimization
Thu Dec 11 19:57:21 2014  start with 2149769 relations
Thu Dec 11 19:57:24 2014  pruned 47330 relations
Thu Dec 11 19:57:24 2014  memory use: 70.2 MB
Thu Dec 11 19:57:24 2014  distribution of cycle lengths:
Thu Dec 11 19:57:24 2014  1 relations: 33181
Thu Dec 11 19:57:24 2014  2 relations: 33345
Thu Dec 11 19:57:24 2014  3 relations: 33490
Thu Dec 11 19:57:24 2014  4 relations: 29999
Thu Dec 11 19:57:24 2014  5 relations: 27822
Thu Dec 11 19:57:24 2014  6 relations: 23734
Thu Dec 11 19:57:24 2014  7 relations: 20603
Thu Dec 11 19:57:24 2014  8 relations: 18079
Thu Dec 11 19:57:24 2014  9 relations: 16054
Thu Dec 11 19:57:24 2014  10+ relations: 77596
Thu Dec 11 19:57:24 2014  heaviest cycle: 27 relations
Thu Dec 11 19:57:25 2014  RelProcTime: 66
Thu Dec 11 19:57:25 2014  
Thu Dec 11 19:57:25 2014  commencing linear algebra
Thu Dec 11 19:57:25 2014  read 313903 cycles
Thu Dec 11 19:57:25 2014  cycles contain 1168923 unique relations
Thu Dec 11 19:57:32 2014  read 1168923 relations
Thu Dec 11 19:57:33 2014  using 20 quadratic characters above 67108778
Thu Dec 11 19:57:37 2014  building initial matrix
Thu Dec 11 19:57:46 2014  memory use: 138.7 MB
Thu Dec 11 19:57:46 2014  read 313903 cycles
Thu Dec 11 19:57:46 2014  matrix is 313723 x 313903 (94.4 MB) with weight 30194267 (96.19/col)
Thu Dec 11 19:57:46 2014  sparse part has weight 21304362 (67.87/col)
Thu Dec 11 19:57:48 2014  filtering completed in 2 passes
Thu Dec 11 19:57:48 2014  matrix is 313070 x 313250 (94.4 MB) with weight 30163296 (96.29/col)
Thu Dec 11 19:57:48 2014  sparse part has weight 21293671 (67.98/col)
Thu Dec 11 19:57:48 2014  matrix starts at (0, 0)
Thu Dec 11 19:57:48 2014  matrix is 313070 x 313250 (94.4 MB) with weight 30163296 (96.29/col)
Thu Dec 11 19:57:48 2014  sparse part has weight 21293671 (67.98/col)
Thu Dec 11 19:57:48 2014  saving the first 48 matrix rows for later
Thu Dec 11 19:57:48 2014  matrix includes 64 packed rows
Thu Dec 11 19:57:48 2014  matrix is 313022 x 313250 (91.1 MB) with weight 24009136 (76.65/col)
Thu Dec 11 19:57:48 2014  sparse part has weight 20747537 (66.23/col)
Thu Dec 11 19:57:48 2014  using block size 65536 for processor cache size 8192 kB
Thu Dec 11 19:57:49 2014  commencing Lanczos iteration (8 threads)
Thu Dec 11 19:57:49 2014  memory use: 86.3 MB
Thu Dec 11 19:57:57 2014  linear algebra at 3.9%, ETA 0h 3m
Thu Dec 11 20:01:05 2014  lanczos halted after 4951 iterations (dim = 313021)
Thu Dec 11 20:01:05 2014  recovered 35 nontrivial dependencies
Thu Dec 11 20:01:05 2014  BLanczosTime: 220
Thu Dec 11 20:01:05 2014  
Thu Dec 11 20:01:05 2014  commencing square root phase
Thu Dec 11 20:01:05 2014  reading relations for dependency 1
Thu Dec 11 20:01:05 2014  read 156481 cycles
Thu Dec 11 20:01:06 2014  cycles contain 583284 unique relations
Thu Dec 11 20:01:11 2014  read 583284 relations
Thu Dec 11 20:01:13 2014  multiplying 583284 relations
Thu Dec 11 20:01:24 2014  multiply complete, coefficients have about 24.41 million bits
Thu Dec 11 20:01:24 2014  initial square root is modulo 10255061
Thu Dec 11 20:01:38 2014  sqrtTime: 33
--
n: 796290803505410542404198535508031129014229995025691570658126336536887423326589132302890342338312207841
skew: 1090080.38
c0: -265873522263603049790468430
c1: 6070456995614337731125
c2: -5581351865118316
c3: 279836412
c4: 4284
Y0: -3692372522480303466996709
Y1: 25537761285371
rlim: 2080000
alim: 2080000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
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 19:48:16 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 16 秒 (日本時間)

127×10183-19

c128

name 名前Serge Batalov
date 日付December 9, 2014 00:58:38 UTC 2014 年 12 月 9 日 (火) 9 時 58 分 38 秒 (日本時間)
composite number 合成数
88139163671962097773152579539558358208394392817963303998659491665599747012464233540191088997177128565580218350942861948231235927<128>
prime factors 素因数
1986739536479637055867371193063<31>
44363723605228346347171628955239588145518092784308882214538085980536149442737644467979420090611729<98>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2297421360
Step 1 took 7659ms
Step 2 took 6855ms
********** Factor found in step 2: 1986739536479637055867371193063
Found probable prime factor of 31 digits: 1986739536479637055867371193063
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)
403e62320Serge BatalovDecember 9, 2014 00:57:22 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 22 秒 (日本時間)

127×10185-19

c135

name 名前Jo Yeong Uk
date 日付September 11, 2016 04:29:54 UTC 2016 年 9 月 11 日 (日) 13 時 29 分 54 秒 (日本時間)
composite number 合成数
180650770145004833473871971353319890117243967243537823129660905378125107583892267391912237310976985724883205038576315443163861706571329<135>
prime factors 素因数
4146014997104251447215504902861900750121011011925800859<55>
43572145848767747284357659421503539309630663983623465474948622059471353777493331<80>
factorization results 素因数分解の結果
Number: 14111_185
N=180650770145004833473871971353319890117243967243537823129660905378125107583892267391912237310976985724883205038576315443163861706571329
  ( 135 digits)
SNFS difficulty: 187 digits.
Divisors found:
 r1=4146014997104251447215504902861900750121011011925800859
 r2=43572145848767747284357659421503539309630663983623465474948622059471353777493331
Version: 
Total time: 77.11 hours.
Scaled time: 405.14 units (timescale=5.254).
Factorization parameters were as follows:
n: 180650770145004833473871971353319890117243967243537823129660905378125107583892267391912237310976985724883205038576315443163861706571329
m: 10000000000000000000000000000000000000
deg: 5
c5: 127
c0: -1
skew: 0.38
# Murphy_E = 5.173e-11
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [3700000, 7200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20234138
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1695296 x 1695544
Total sieving time: 71.34 hours.
Total relation processing time: 1.86 hours.
Matrix solve time: 3.78 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,54,54,2.5,2.5,100000
total time: 77.11 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49368528k/51380224k available (5398k kernel code, 1086460k absent, 925236k reserved, 7010k data, 1296k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.70 BogoMIPS (lpj=3399852)
Total of 12 processors activated (81596.44 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 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 19:48:16 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 16 秒 (日本時間)
4511e64409650Pierre JammesFebruary 14, 2015 08:41:55 UTC 2015 年 2 月 14 日 (土) 17 時 41 分 55 秒 (日本時間)
3759KTakahashiJuly 28, 2015 09:14:54 UTC 2015 年 7 月 28 日 (火) 18 時 14 分 54 秒 (日本時間)

127×10187-19

c183

name 名前Cyp
date 日付December 8, 2014 19:36:02 UTC 2014 年 12 月 9 日 (火) 4 時 36 分 2 秒 (日本時間)
composite number 合成数
160362464627133909855334116457747205368379729224821735654725218916861406045462884991449650163601281333973267955955628337385957980741099346567151024444669204434236805357470030843889161<183>
prime factors 素因数
28434428859044470332044619857103327871<38>
2967144817753155577244918671010394944173<40>
1900725798946632234003429218810087934053194594625720142102864573821387430564508827551896251803992122754867<106>
factorization results 素因数分解の結果
Run 78 out of 280:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2977206818
Step 1 took 16167ms
Step 2 took 5481ms
********** Factor found in step 2: 2967144817753155577244918671010394944173
Found probable prime factor of 40 digits: 2967144817753155577244918671010394944173
Composite cofactor 54046052510698477302811680983567031609941583578557398763204603087647873832286237275739306467555200110843934232277020392364079026939050061998157 has 143 digits
--
Run 271 out of 280:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=447358791
Step 1 took 11599ms
Step 2 took 4391ms
********** Factor found in step 2: 28434428859044470332044619857103327871
Found probable prime factor of 38 digits: 28434428859044470332044619857103327871
Probable prime cofactor 1900725798946632234003429218810087934053194594625720142102864573821387430564508827551896251803992122754867 has 106 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 / 144Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6271 / 2318CypDecember 8, 2014 19:36:02 UTC 2014 年 12 月 9 日 (火) 4 時 36 分 2 秒 (日本時間)

127×10188-19

c190

name 名前Serge Batalov
date 日付December 11, 2014 07:24:12 UTC 2014 年 12 月 11 日 (木) 16 時 24 分 12 秒 (日本時間)
composite number 合成数
1411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<190>
prime factors 素因数
19340619149524651250150459433943160978141107864951823<53>
149586506277014980110246452946704203641374381892811678812956263196713<69>
487751281980063419963673516736846091560020927790489610702835205533089<69>
factorization results 素因数分解の結果
RelProcTime: 900
BLanczosTime: 2489
sqrtTime: 922
prp53 factor: 19340619149524651250150459433943160978141107864951823
prp69 factor: 149586506277014980110246452946704203641374381892811678812956263196713
prp69 factor: 487751281980063419963673516736846091560020927790489610702835205533089

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 00:57:32 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 32 秒 (日本時間)

127×10189-19

c168

name 名前Jo Yeong Uk
date 日付February 4, 2017 08:57:46 UTC 2017 年 2 月 4 日 (土) 17 時 57 分 46 秒 (日本時間)
composite number 合成数
249593386111681422768912327672198947229085597553948204848845066046408480459314814741287906523313004559454783489074515833515825763952029047286306082890161167595302026497<168>
prime factors 素因数
14736415076462526070806815818703212635378862327961<50>
16937184845610108357112316917190170021401919482669249188219034945409934241245819310682768210503706747527477217767313577<119>
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 249593386111681422768912327672198947229085597553948204848845066046408480459314814741287906523313004559454783489074515833515825763952029047286306082890161167595302026497 (168 digits)
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=4747923708
Step 1 took 116814ms
Step 2 took 30882ms
********** Factor found in step 2: 14736415076462526070806815818703212635378862327961
Found probable prime factor of 50 digits: 14736415076462526070806815818703212635378862327961
Probable prime cofactor 16937184845610108357112316917190170021401919482669249188219034945409934241245819310682768210503706747527477217767313577 has 119 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)
403e6280CypDecember 10, 2014 11:45:37 UTC 2014 年 12 月 10 日 (水) 20 時 45 分 37 秒 (日本時間)
4511e6591 / 4413CypJune 4, 2015 17:29:25 UTC 2015 年 6 月 5 日 (金) 2 時 29 分 25 秒 (日本時間)

127×10190-19

c136

name 名前Pierre Jammes
date 日付February 15, 2015 07:38:10 UTC 2015 年 2 月 15 日 (日) 16 時 38 分 10 秒 (日本時間)
composite number 合成数
1113821526845685849779005396529067760889931845410515247074502843554095097156739128701295149395634381389375308595061879162171633733422651<136>
prime factors 素因数
70795815144914843557290836811484459<35>
15732872410124229882218820162815705337761346998002270816982676938574885557904984934879732927712746289<101>
factorization results 素因数分解の結果
Using B1=11000000, B2=144269945836, polynomial Dickson(12), sigma=3495097611
Step 1 took 79548ms
********** Factor found in step 1: 70795815144914843557290836811484459
Found probable prime factor of 35 digits: 70795815144914843557290836811484459
Probable prime cofactor 15732872410124229882218820162815705337761346998002270816982676938574885557904984934879732927712746289 has 101 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
debian 8

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 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 8, 2014 20:59:30 UTC 2014 年 12 月 9 日 (火) 5 時 59 分 30 秒 (日本時間)

127×10192-19

c146

name 名前Jo Yeong Uk
date 日付May 17, 2017 10:30:03 UTC 2017 年 5 月 17 日 (水) 19 時 30 分 3 秒 (日本時間)
composite number 合成数
24191774263053649144228444805685811354588234853342409493284339737499568147432695722302120661956957729999876141474148792698997697445435472582364697<146>
prime factors 素因数
779122207291274984316919194813707078606796930310836641238873437<63>
31050038154039613669837052543317796289121672866798096238335773218834401413758079981<83>
factorization results 素因数分解の結果
Number: 14111_192
N=24191774263053649144228444805685811354588234853342409493284339737499568147432695722302120661956957729999876141474148792698997697445435472582364697
  ( 146 digits)
SNFS difficulty: 194 digits.
Divisors found:
 r1=779122207291274984316919194813707078606796930310836641238873437
 r2=31050038154039613669837052543317796289121672866798096238335773218834401413758079981
Version: 
Total time: 175.32 hours.
Scaled time: 920.08 units (timescale=5.248).
Factorization parameters were as follows:
n: 24191774263053649144228444805685811354588234853342409493284339737499568147432695722302120661956957729999876141474148792698997697445435472582364697
m: 100000000000000000000000000000000000000
deg: 5
c5: 12700
c0: -1
skew: 0.15
# Murphy_E = 2.047e-11
type: snfs
lss: 1
rlim: 11000000
alim: 11000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11000000/11000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [5500000, 13000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 23676829
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2319459 x 2319707
Total sieving time: 161.56 hours.
Total relation processing time: 4.81 hours.
Matrix solve time: 8.59 hours.
Time per square root: 0.36 hours.
Prototype def-par.txt line would be:
snfs,194,5,0,0,0,0,0,0,0,0,11000000,11000000,28,28,55,55,2.5,2.5,100000
total time: 175.32 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49367836k/51380224k available (5467k kernel code, 1086464k absent, 925924k reserved, 6954k data, 1316k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.09 BogoMIPS (lpj=3400049)
Total of 12 processors activated (81601.17 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 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 19:48:17 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 17 秒 (日本時間)
4511e6585 / 4409CypMay 27, 2015 10:31:21 UTC 2015 年 5 月 27 日 (水) 19 時 31 分 21 秒 (日本時間)

127×10193-19

c181

name 名前Jo Yeong Uk
date 日付July 2, 2017 04:15:04 UTC 2017 年 7 月 2 日 (日) 13 時 15 分 4 秒 (日本時間)
composite number 合成数
1947692974757757588104990331063412017210201248515644155227879263236057228651426744992503561862211051649906503578710173982083887998505899290302837952117507821693665922463348240505851<181>
prime factors 素因数
4242478036830969504620374645235737687001168124134144130666733223677201648341513478961<85>
459093236982939823614613656269524474250636302326005663702964756381942140001852741414556153376491<96>
factorization results 素因数分解の結果
Number: 14111_193
N=1947692974757757588104990331063412017210201248515644155227879263236057228651426744992503561862211051649906503578710173982083887998505899290302837952117507821693665922463348240505851
  ( 181 digits)
SNFS difficulty: 195 digits.
Divisors found:
 r1=4242478036830969504620374645235737687001168124134144130666733223677201648341513478961
 r2=459093236982939823614613656269524474250636302326005663702964756381942140001852741414556153376491
Version: 
Total time: 213.36 hours.
Scaled time: 1120.57 units (timescale=5.252).
Factorization parameters were as follows:
n: 1947692974757757588104990331063412017210201248515644155227879263236057228651426744992503561862211051649906503578710173982083887998505899290302837952117507821693665922463348240505851
m: 200000000000000000000000000000000000000
deg: 5
c5: 15875
c0: -4
skew: 0.19
# Murphy_E = 1.727e-11
type: snfs
lss: 1
rlim: 12000000
alim: 12000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12000000/12000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6000000, 15000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 24078155
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2527470 x 2527717
Total sieving time: 196.44 hours.
Total relation processing time: 5.94 hours.
Matrix solve time: 10.77 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12000000,12000000,28,28,55,55,2.5,2.5,100000
total time: 213.36 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49367836k/51380224k available (5467k kernel code, 1086464k absent, 925924k reserved, 6954k data, 1316k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.09 BogoMIPS (lpj=3400049)
Total of 12 processors activated (81601.17 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 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 19:48:17 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 17 秒 (日本時間)
4511e6585 / 4409CypJuly 31, 2015 05:25:36 UTC 2015 年 7 月 31 日 (金) 14 時 25 分 36 秒 (日本時間)

127×10195-19

c195

name 名前Robert Backstrom
date 日付January 4, 2015 08:33:39 UTC 2015 年 1 月 4 日 (日) 17 時 33 分 39 秒 (日本時間)
composite number 合成数
103000811030008110300081103000811030008110300081103000811030008110300081103000811030008110300081103000811030008110300081103000811030008110300081103000811030008110300081103000811030008110300081103<195>
prime factors 素因数
1106406303574509189328097504329055723436447084103163517908513<61>
93094924258149513482996659188544707129509092230167906307296307011049587997294430151931579183970287327304743719355640216282055144424431<134>
factorization results 素因数分解の結果
Number: n
N=103000811030008110300081103000811030008110300081103000811030008110300081103000811030008110300081103000811030008110300081103000811030008110300081103000811030008110300081103000811030008110300081103
  ( 195 digits)
SNFS difficulty: 197 digits.
Divisors found:

Sun Jan  4 17:57:41 2015  prp61 factor: 1106406303574509189328097504329055723436447084103163517908513
Sun Jan  4 17:57:41 2015  prp134 factor: 93094924258149513482996659188544707129509092230167906307296307011049587997294430151931579183970287327304743719355640216282055144424431
Sun Jan  4 17:57:41 2015  elapsed time 02:49:03 (Msieve 1.44 - dependency 5)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.279).
Factorization parameters were as follows:
#
#  N = 127*10^195-1 141(195)
#
n: 103000811030008110300081103000811030008110300081103000811030008110300081103000811030008110300081103000811030008110300081103000811030008110300081103000811030008110300081103000811030008110300081103
m: 1000000000000000000000000000000000000000
deg: 5
c5: 127
c0: -1
skew: 0.38
# Murphy_E = 1.998e-11
type: snfs
lss: 1
rlim: 13500000
alim: 13500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13500000/13500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 20750000)
Primes: RFBsize:879640, AFBsize:880314,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 4961297 hash collisions in 33112988 relations (29799149 unique)
Msieve: matrix is 1685591 x 1685816 (474.8 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 2hrs 21min 26sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 20min 4sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13500000,13500000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.038918] smpboot: CPU0: Intel(R) Core(TM) i7-4790 CPU @ 3.60GHz (fam: 06, model: 3c, stepping: 03)
[    0.000000] Memory: 16059668K/16661464K available (7375K kernel code, 1160K rwdata, 3228K rodata, 1468K init, 1504K bss, 601796K reserved)
[    1.117641] [drm] Memory usable by graphics device = 2048M
[    0.000027] Calibrating delay loop (skipped), value calculated using timer frequency.. 7200.23 BogoMIPS (lpj=3600117)
[    0.136797] smpboot: Total of 8 processors activated (57601.87 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
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 00:57:34 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 34 秒 (日本時間)

127×10196-19

c172

name 名前Cyp
date 日付July 3, 2015 20:26:11 UTC 2015 年 7 月 4 日 (土) 5 時 26 分 11 秒 (日本時間)
composite number 合成数
7381195909422354672076823369326790757178346811517992186063633841249545776758299321823555407651049805964624874211970619691654355322731366572210300830475700693607913406945701<172>
prime factors 素因数
5878764056033588909290099094139549926113<40>
1255569340607702298196762623023338832651198158868193265176112273623448031439469000309838747098358385975853316418848284957550896395077<133>
factorization results 素因数分解の結果
Run 73 out of 591:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1835857330
Step 1 took 49527ms
Step 2 took 17342ms
********** Factor found in step 2: 5878764056033588909290099094139549926113
Found probable prime factor of 40 digits: 5878764056033588909290099094139549926113
Probable prime cofactor 1255569340607702298196762623023338832651198158868193265176112273623448031439469000309838747098358385975853316418848284957550896395077 has 133 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 / 2066CypDecember 8, 2014 16:24:58 UTC 2014 年 12 月 9 日 (火) 1 時 24 分 58 秒 (日本時間)
4511e673 / 4413CypJuly 3, 2015 20:26:11 UTC 2015 年 7 月 4 日 (土) 5 時 26 分 11 秒 (日本時間)

127×10197-19

c198

name 名前Serge Batalov
date 日付December 9, 2014 17:25:39 UTC 2014 年 12 月 10 日 (水) 2 時 25 分 39 秒 (日本時間)
composite number 合成数
108547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547<198>
prime factors 素因数
862885567265807657695926179375314540694207638542339262110494607377<66>
125795369241088690687972840837866227245667434089971411444375566590256168388460271747345414407546314234358376461297101258328174676211<132>
factorization results 素因数分解の結果
Mon Dec  8 23:32:26 2014  RelProcTime: 1057
Tue Dec  9 01:05:11 2014  BLanczosTime: 5565
Tue Dec  9 01:16:05 2014  sqrtTime: 654
Tue Dec  9 01:16:05 2014  prp66 factor: 862885567265807657695926179375314540694207638542339262110494607377
Tue Dec  9 01:16:05 2014  prp132 factor: 125795369241088690687972840837866227245667434089971411444375566590256168388460271747345414407546314234358376461297101258328174676211

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 8, 2014 07:27:33 UTC 2014 年 12 月 8 日 (月) 16 時 27 分 33 秒 (日本時間)

127×10199-19

c173

name 名前Jo Yeong Uk
date 日付June 19, 2018 02:29:12 UTC 2018 年 6 月 19 日 (火) 11 時 29 分 12 秒 (日本時間)
composite number 合成数
74437719476136026307807004394155221262939451432169414744663481632258560066865298328864332590649912512290476527977843473122074340778782819157342170336197865755684984772550373<173>
prime factors 素因数
37674428649602782274606917818321345705780058296268366411015885052548122609786307<80>
1975815483984011400267156147037741655387345288129493800438494422390449224719582583140568989239<94>
factorization results 素因数分解の結果
Number: 14111_199
N=74437719476136026307807004394155221262939451432169414744663481632258560066865298328864332590649912512290476527977843473122074340778782819157342170336197865755684984772550373
  ( 173 digits)
SNFS difficulty: 202 digits.
Divisors found:
 r1=37674428649602782274606917818321345705780058296268366411015885052548122609786307
 r2=1975815483984011400267156147037741655387345288129493800438494422390449224719582583140568989239
Version: 
Total time: 272.89 hours.
Scaled time: 1432.42 units (timescale=5.249).
Factorization parameters were as follows:
n: 74437719476136026307807004394155221262939451432169414744663481632258560066865298328864332590649912512290476527977843473122074340778782819157342170336197865755684984772550373
m: 10000000000000000000000000000000000000000
deg: 5
c5: 127
c0: -10
skew: 0.60
# Murphy_E = 1.13e-11
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [8000000, 18300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 39429760
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3334361 x 3334609
Total sieving time: 247.75 hours.
Total relation processing time: 4.05 hours.
Matrix solve time: 20.81 hours.
Time per square root: 0.28 hours.
Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16000000,16000000,29,29,56,56,2.6,2.6,100000
total time: 272.89 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49367612k/51380224k available (5516k kernel code, 1086464k absent, 926148k reserved, 6912k data, 1332k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.92 BogoMIPS (lpj=3399960)
Total of 12 processors activated (81599.04 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)
403e6280CypDecember 8, 2014 19:40:24 UTC 2014 年 12 月 9 日 (火) 4 時 40 分 24 秒 (日本時間)
4511e6591 / 4413CypJune 26, 2015 17:29:23 UTC 2015 年 6 月 27 日 (土) 2 時 29 分 23 秒 (日本時間)

127×10200-19

c183

name 名前Cyp
date 日付May 20, 2015 10:22:10 UTC 2015 年 5 月 20 日 (水) 19 時 22 分 10 秒 (日本時間)
composite number 合成数
235966618609043720107443707366594695096560445873405683556964352168571769138804836529236795510404043410966619019956715103005515318734326594015733999552575202892893759734560899156744481<183>
prime factors 素因数
1564051885515121576462652161923688633719481<43>
composite cofactor 合成数の残り
150868792010265023994456556815906386883958633275319730155936030111967846699329924054190073999875143741993594064734654311362534562348656025001<141>
factorization results 素因数分解の結果
Run 298 out of 591:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1157613373
Step 1 took 58909ms
Step 2 took 18877ms
********** Factor found in step 2: 1564051885515121576462652161923688633719481
Found probable prime factor of 43 digits: 1564051885515121576462652161923688633719481
Composite cofactor 150868792010265023994456556815906386883958633275319730155936030111967846699329924054190073999875143741993594064734654311362534562348656025001 has 141 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

c141

name 名前Markus Tervooren
date 日付January 16, 2016 19:22:25 UTC 2016 年 1 月 17 日 (日) 4 時 22 分 25 秒 (日本時間)
composite number 合成数
150868792010265023994456556815906386883958633275319730155936030111967846699329924054190073999875143741993594064734654311362534562348656025001<141>
prime factors 素因数
738673721143507018103423470539079431719941955077<48>
204242803949640910848866475259483405122095901239074045802500121273350432904988036975865917013<93>
factorization results 素因数分解の結果
Msieve v. 1.52 (SVN Nicht versioniertes Verzeichnis)
Sat Jan 16 18:29:59 2016
random seeds: a7049ba2 2b314431
factoring 150868792010265023994456556815906386883958633275319730155936030111967846699329924054190073999875143741993594064734654311362534562348656025001 (141 digits)
searching for 15-digit factors
commencing number field sieve (141-digit input)
R0: -714532543328431434141587613
R1: 264919006378398308473
A0: 29282836154001181209823842264984
A1: -1386305273053698895213811078
A2: -26182308986636947253947
A3: 89070655950030601
A4: 481774033926
A5: 14390640
skew 1.00, size 1.040e-13, alpha -6.720, combined = 5.261e-13 rroots = 3

commencing square root phase
reading relations for dependency 1
read 1363271 cycles
cycles contain 4694572 unique relations
read 4694572 relations
multiplying 4694572 relations
multiply complete, coefficients have about 262.38 million bits
initial square root is modulo 2606238487
GCD is N, no factor found
reading relations for dependency 2
read 1365041 cycles
cycles contain 4699996 unique relations
read 4699996 relations
multiplying 4699996 relations
multiply complete, coefficients have about 262.68 million bits
initial square root is modulo 2672577073
sqrtTime: 1028
prp48 factor: 738673721143507018103423470539079431719941955077
prp93 factor: 204242803949640910848866475259483405122095901239074045802500121273350432904988036975865917013
elapsed time 00:17:09
execution environment 実行環境
I7 4770, 4 cores

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 08:47:58 UTC 2014 年 12 月 9 日 (火) 17 時 47 分 58 秒 (日本時間)
4511e62204 / 4413591CypMay 20, 2015 10:22:09 UTC 2015 年 5 月 20 日 (水) 19 時 22 分 9 秒 (日本時間)
1613Ignacio SantosDecember 26, 2015 10:13:45 UTC 2015 年 12 月 26 日 (土) 19 時 13 分 45 秒 (日本時間)

127×10201-19

c169

composite cofactor 合成数の残り
3079154366280316991538288794208674941682695619640596200252693759521250224960688387503359124299634482749952753715990731115041007356459750328756600026112306725519110899533<169>

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 19:48:17 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 17 秒 (日本時間)
4511e6585 / 4409CypJune 30, 2015 18:28:07 UTC 2015 年 7 月 1 日 (水) 3 時 28 分 7 秒 (日本時間)

127×10202-19

c159

composite cofactor 合成数の残り
157200747236969167062492712570727472965284722393146400081813752619659703875553159533641188244900427004179150169576623934630281360433679738725019320302929484087<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 19:48:18 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 18 秒 (日本時間)
4511e6585 / 4409CypMay 12, 2015 04:52:39 UTC 2015 年 5 月 12 日 (火) 13 時 52 分 39 秒 (日本時間)

127×10204-19

c167

composite cofactor 合成数の残り
49927579267634067873006038853984728054682292527483061679301992116082081374983379087805219339994839443585015083378516788781461104672000672115353043979908136640249952237<167>

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 19:48:18 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 18 秒 (日本時間)
4511e6585 / 4409CypJune 9, 2015 02:22:38 UTC 2015 年 6 月 9 日 (火) 11 時 22 分 38 秒 (日本時間)

127×10206-19

c191

name 名前Serge Batalov
date 日付December 10, 2014 22:39:58 UTC 2014 年 12 月 11 日 (木) 7 時 39 分 58 秒 (日本時間)
composite number 合成数
35487243705486101005313931341474838115365355968350750397225726039565932427959988587352929892465850624501123316035507950834503708241251007884697856563923445836473570012453311590903593479991987<191>
prime factors 素因数
93330480878605920440700568569571<32>
113049879869850169804093995440735199731<39>
3363401087817101136528076454206819231235357887871572059508726956287406125759394491248171644516809332633954877468645922187<121>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2463121076
Step 1 took 13261ms
Step 2 took 9110ms
********** Factor found in step 2: 113049879869850169804093995440735199731
Found probable prime factor of 39 digits: 113049879869850169804093995440735199731
--
Input number is 35487243705486101005313931341474838115365355968350750397225726039565932427959988587352929892465850624501123316035507950834503708241251007884697856563923445836473570012453311590903593479991987 (191 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3678274074
Step 1 took 13224ms
Step 2 took 127ms
********** Factor found in step 2: 93330480878605920440700568569571
Found probable prime factor of 32 digits: 93330480878605920440700568569571

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 19:48:19 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 19 秒 (日本時間)

127×10207-19

c202

composite cofactor 合成数の残り
4897968565609079553306809483716703503632615025031511871383819202173371349282738783584493062374626949309534913973352814135552707020451178495588569406355025510510057091415801008572717690309315199588169547<202>

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 19:48:19 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 19 秒 (日本時間)
4511e6585 / 4409CypJune 5, 2015 19:18:27 UTC 2015 年 6 月 6 日 (土) 4 時 18 分 27 秒 (日本時間)

127×10210-19

c163

composite cofactor 合成数の残り
9459113843300363074400417030071122186421254716759746281527204569581153241874118130659578463545172582638299919099104208125851445156130207085354133849950054072103639<163>

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 8, 2014 01:09:40 UTC 2014 年 12 月 8 日 (月) 10 時 9 分 40 秒 (日本時間)
4511e6591 / 4413CypJanuary 26, 2015 02:52:11 UTC 2015 年 1 月 26 日 (月) 11 時 52 分 11 秒 (日本時間)

127×10211-19

c196

name 名前Serge Batalov
date 日付December 11, 2014 01:34:05 UTC 2014 年 12 月 11 日 (木) 10 時 34 分 5 秒 (日本時間)
composite number 合成数
2276224769206347092054053994364122294620894153629183987373583002723501625386129712224780450858944583743011496123329937424832326718545711176124717650462461854067610564247015792361930354468876494631<196>
prime factors 素因数
88210123769214838503699599982989<32>
composite cofactor 合成数の残り
25804575166016773075692056327925933002958464914468730130205184634346269845753447899826815224699456242708001529138935493858374332341220808759457419119711046334696579<164>
factorization results 素因数分解の結果
Input number is 2276224769206347092054053994364122294620894153629183987373583002723501625386129712224780450858944583743011496123329937424832326718545711176124717650462461854067610564247015792361930354468876494631 (196 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1998822222
Step 1 took 15573ms
Step 2 took 3628ms
********** Factor found in step 2: 88210123769214838503699599982989
Found probable prime factor of 32 digits: 88210123769214838503699599982989
Composite cofactor 25804575166016773075692056327925933002958464914468730130205184634346269845753447899826815224699456242708001529138935493858374332341220808759457419119711046334696579 has 164 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 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 19:48:19 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 19 秒 (日本時間)
4511e6585 / 4409CypJuly 6, 2015 06:04:03 UTC 2015 年 7 月 6 日 (月) 15 時 4 分 3 秒 (日本時間)

127×10212-19

c176

composite cofactor 合成数の残り
20180593910945148361563484964611947489856739912099733508189358925791691185436204275493427955046889991834955683105789930251066879414033155068362920284485297765052126109508922729<176>

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 19:09:17 UTC 2014 年 12 月 8 日 (月) 4 時 9 分 17 秒 (日本時間)
4511e6591 / 4413CypJuly 31, 2015 05:25:37 UTC 2015 年 7 月 31 日 (金) 14 時 25 分 37 秒 (日本時間)

127×10213-19

c211

name 名前Serge Batalov
date 日付December 9, 2014 01:12:45 UTC 2014 年 12 月 9 日 (火) 10 時 12 分 45 秒 (日本時間)
composite number 合成数
2595385527149367502503423047840925346902908057956798070831545174013446958085545541863364191854167943923323728363272229374859501767723213373388102098788138883779862260642102466638056117548484662702062003147160403<211>
prime factors 素因数
2641112478225473640825251957139973<34>
composite cofactor 合成数の残り
982686480998783726863628298557066652426543877017905715764155805600568112190779031926691118232419486725109668499598363134113742394557798602906202316889727919403156041864292865911<177>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1309600132
Step 1 took 16238ms
Step 2 took 11114ms
********** Factor found in step 2: 2641112478225473640825251957139973
Found probable prime factor of 34 digits: 2641112478225473640825251957139973
Composite 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)
403e62320Serge BatalovDecember 9, 2014 00:57:43 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 43 秒 (日本時間)

127×10214-19

c185

composite cofactor 合成数の残り
28796543681537057154921027706260528338780680350862945650930954347823836996424336036481146745642907493154875055548390632165389526327356895815377214466849290277869201259648551062342255023<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)
403e6300Serge BatalovDecember 10, 2014 19:48:20 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 20 秒 (日本時間)
4511e6585 / 4409CypJune 10, 2015 22:12:04 UTC 2015 年 6 月 11 日 (木) 7 時 12 分 4 秒 (日本時間)

127×10218-19

c159

name 名前Serge Batalov
date 日付December 11, 2014 01:34:09 UTC 2014 年 12 月 11 日 (木) 10 時 34 分 9 秒 (日本時間)
composite number 合成数
792307389487193577766741197059341844407512778731138022007660612093473803463339135510847937486427991415448345758490301007823748808857675340914457727862569146761<159>
prime factors 素因数
130963111512831714000138740243027407<36>
6049851598169791592923051083879745827268049669216013365218318189849084046381504500018741661860430955926648216499805691005223<124>
factorization results 素因数分解の結果
Input number is 792307389487193577766741197059341844407512778731138022007660612093473803463339135510847937486427991415448345758490301007823748808857675340914457727862569146761 (159 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2087920243
Step 1 took 11025ms
Step 2 took 6083ms
********** Factor found in step 2: 130963111512831714000138740243027407
Found probable prime factor of 36 digits: 130963111512831714000138740243027407
Probable prime cofactor 6049851598169791592923051083879745827268049669216013365218318189849084046381504500018741661860430955926648216499805691005223 has 124 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 19:48:20 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 20 秒 (日本時間)

127×10220-19

c212

name 名前Cyp
date 日付June 25, 2015 18:32:43 UTC 2015 年 6 月 26 日 (金) 3 時 32 分 43 秒 (日本時間)
composite number 合成数
40037841784447569230278147117962183949039802442067951560952804547432672634249670625691722108238159424551873050246579427887225144841387454681930204061123897515872450121197420663631967174961667745843028650804076463<212>
prime factors 素因数
1321271972410504525993226970828774251<37>
30302498365573637175668331044003654840301795571716667627734395841356331229234153901366356501880480409662799160156534223824474014533019486936157540285953423896210596706558411213<176>
factorization results 素因数分解の結果
Run 131 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2715101204
Step 1 took 70501ms
Step 2 took 21339ms
********** Factor found in step 2: 1321271972410504525993226970828774251
Found probable prime factor of 37 digits: 1321271972410504525993226970828774251
Probable prime cofactor 30302498365573637175668331044003654840301795571716667627734395841356331229234153901366356501880480409662799160156534223824474014533019486936157540285953423896210596706558411213 has 176 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)
403e6300 / 1866Serge BatalovDecember 10, 2014 19:48:21 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 21 秒 (日本時間)
4511e6131 / 4409CypJune 25, 2015 18:32:43 UTC 2015 年 6 月 26 日 (金) 3 時 32 分 43 秒 (日本時間)

127×10222-19

c185

composite cofactor 合成数の残り
96600362437307020647267781286319991417134806247836753191274803144156445541037433043079299806649742020462997083534474313278165639957969773230035602090572974096025482657811975682788484653<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)
403e6300Serge BatalovDecember 10, 2014 19:48:21 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 21 秒 (日本時間)
4511e6585 / 4409CypJune 16, 2015 06:49:47 UTC 2015 年 6 月 16 日 (火) 15 時 49 分 47 秒 (日本時間)

127×10223-19

c176

name 名前Cyp
date 日付July 30, 2015 20:25:10 UTC 2015 年 7 月 31 日 (金) 5 時 25 分 10 秒 (日本時間)
composite number 合成数
52101596455983854623275885697048770365310569564743357443167908280249154304950923586086495712127027943446035143297337981996945359271567692362028699662309849560928121708301945349<176>
prime factors 素因数
862992076269142712929497289106651481487961<42>
60373203750870647365621069830949491045434335302236746676564588074785251918163038016379290870512109599139136895059316947969712351821709<134>
factorization results 素因数分解の結果
Run 165 out of 256:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3185971376
Step 1 took 59722ms
Step 2 took 18832ms
********** Factor found in step 2: 862992076269142712929497289106651481487961
Found probable prime factor of 42 digits: 862992076269142712929497289106651481487961
Probable prime cofactor 60373203750870647365621069830949491045434335302236746676564588074785251918163038016379290870512109599139136895059316947969712351821709 has 134 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)
403e6300 / 614Serge BatalovDecember 10, 2014 19:48:22 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 22 秒 (日本時間)
4511e6494 / 4409329CypJanuary 1, 2015 05:30:24 UTC 2015 年 1 月 1 日 (木) 14 時 30 分 24 秒 (日本時間)
165CypJuly 30, 2015 20:25:09 UTC 2015 年 7 月 31 日 (金) 5 時 25 分 9 秒 (日本時間)

127×10224-19

c226

name 名前Lionel Debroux
date 日付March 10, 2016 19:52:20 UTC 2016 年 3 月 11 日 (金) 4 時 52 分 20 秒 (日本時間)
composite number 合成数
1411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<226>
prime factors 素因数
23175401593543495588648729369031454956248912213349271671<56>
60888313215001062764043033472977082376762626261421520238597475267202004252528649966795093850909551022888831737189898764454980544155046545736932664106105383592907741070641<170>
factorization results 素因数分解の結果
23175401593543495588648729369031454956248912213349271671
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Core i7-4700HQ @ 2.4 GHz, Debian jessie amd64

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 00:57:48 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 48 秒 (日本時間)
4511e643291000Serge BatalovDecember 18, 2014 00:18:44 UTC 2014 年 12 月 18 日 (木) 9 時 18 分 44 秒 (日本時間)
329CypDecember 18, 2014 06:45:09 UTC 2014 年 12 月 18 日 (木) 15 時 45 分 9 秒 (日本時間)
2000Serge BatalovDecember 20, 2014 04:02:00 UTC 2014 年 12 月 20 日 (土) 13 時 2 分 0 秒 (日本時間)
1000Serge BatalovDecember 21, 2014 10:24:39 UTC 2014 年 12 月 21 日 (日) 19 時 24 分 39 秒 (日本時間)
5043e62000 / 6493Serge BatalovDecember 21, 2014 12:18:37 UTC 2014 年 12 月 21 日 (日) 21 時 18 分 37 秒 (日本時間)

127×10225-19

c202

name 名前Cyp
date 日付December 7, 2014 19:52:17 UTC 2014 年 12 月 8 日 (月) 4 時 52 分 17 秒 (日本時間)
composite number 合成数
7513470731364440639297833235412087561203425039050963691179238518868947131278518550093816534712712243649708381608939974759396669447879437924447296517063129387646112247090293176813042065441383148982529689<202>
prime factors 素因数
678114103295256362916920046234709<33>
composite cofactor 合成数の残り
11079950549403357179229271912147586055558998404715508770002340750578805459384390663267727915427425343080789105886211313208660147290898059400042796074273878149310160551221<170>
factorization results 素因数分解の結果
Run 40 out of 280:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1385812582
Step 1 took 18443ms
Step 2 took 6518ms
********** Factor found in step 2: 678114103295256362916920046234709
Found probable prime factor of 33 digits: 678114103295256362916920046234709
Composite cofactor 11079950549403357179229271912147586055558998404715508770002340750578805459384390663267727915427425343080789105886211313208660147290898059400042796074273878149310160551221 has 170 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)
403e6280CypDecember 7, 2014 19:52:16 UTC 2014 年 12 月 8 日 (月) 4 時 52 分 16 秒 (日本時間)
4511e6591 / 4413CypMay 24, 2015 09:00:02 UTC 2015 年 5 月 24 日 (日) 18 時 0 分 2 秒 (日本時間)

127×10227-19

c217

composite cofactor 合成数の残り
4299930847929784611679903581615146436079590530590969890072353123036332011888885005530262848060003556315846689458451568457498834016345660575959617289514045643288420769326498330532222831289878373535409259088173266461643<217>

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 15:18:54 UTC 2014 年 12 月 8 日 (月) 0 時 18 分 54 秒 (日本時間)
4511e6591 / 4413CypFebruary 4, 2015 04:17:39 UTC 2015 年 2 月 4 日 (水) 13 時 17 分 39 秒 (日本時間)

127×10228-19

c203

name 名前Cyp
date 日付December 8, 2014 09:11:06 UTC 2014 年 12 月 8 日 (月) 18 時 11 分 6 秒 (日本時間)
composite number 合成数
32349104908133288121389830869930751042707902979413787767755083070697154118138169924266137616097164423744356182420562624069114013462044535526952616493399165782218256606128045837032855205372858363198263813<203>
prime factors 素因数
111243750628807052911245301<27>
composite cofactor 合成数の残り
290794806227580992330157741549353874049620750449991883997125801592356986933587577118362079727869397430338982411365893213779676151510726799988932489681901650507463823969720104913<177>
factorization results 素因数分解の結果
Run 29 out of 280:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4155412081
Step 1 took 18966ms
Step 2 took 6349ms
********** Factor found in step 2: 111243750628807052911245301
Found probable prime factor of 27 digits: 111243750628807052911245301
Composite cofactor 290794806227580992330157741549353874049620750449991883997125801592356986933587577118362079727869397430338982411365893213779676151510726799988932489681901650507463823969720104913 has 177 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)
403e6280CypDecember 8, 2014 09:11:05 UTC 2014 年 12 月 8 日 (月) 18 時 11 分 5 秒 (日本時間)
4511e6591 / 4413CypJanuary 30, 2015 19:36:41 UTC 2015 年 1 月 31 日 (土) 4 時 36 分 41 秒 (日本時間)

127×10230-19

c214

name 名前Cyp
date 日付May 21, 2015 04:54:14 UTC 2015 年 5 月 21 日 (木) 13 時 54 分 14 秒 (日本時間)
composite number 合成数
8170236706698119400786947355430134459557454841334082947347080274077292205720584448828446820060395531654882485844880816229803906546430561487246458964009137680817469398960046003946071583292304340031786318143866027277<214>
prime factors 素因数
171120286982993256598523602580219039<36>
composite cofactor 合成数の残り
47745576230304687160157520769776321971307032734132243760294206067706759668444538131784758401482586646197789690572792368846432045765255972336233930590254087611854943023157363487443<179>
factorization results 素因数分解の結果
Run 16 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3647974224
Step 1 took 79914ms
Step 2 took 23270ms
********** Factor found in step 2: 171120286982993256598523602580219039
Found probable prime factor of 36 digits: 171120286982993256598523602580219039
Composite cofactor 47745576230304687160157520769776321971307032734132243760294206067706759668444538131784758401482586646197789690572792368846432045765255972336233930590254087611854943023157363487443 has 179 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)
403e6300Serge BatalovDecember 10, 2014 19:48:22 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 22 秒 (日本時間)
4511e6585 / 4409CypMay 21, 2015 04:54:14 UTC 2015 年 5 月 21 日 (木) 13 時 54 分 14 秒 (日本時間)

127×10231-19

c201

composite cofactor 合成数の残り
169342897725858521130343600895056504803891135112827711719916107667607912988664164212034343511313052354708702110866586982220830941292708026130580435730836926103019464144214416405576592293161218475601673<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)
403e6280CypDecember 8, 2014 05:33:34 UTC 2014 年 12 月 8 日 (月) 14 時 33 分 34 秒 (日本時間)
4511e6591 / 4413335CypJanuary 1, 2015 06:46:21 UTC 2015 年 1 月 1 日 (木) 15 時 46 分 21 秒 (日本時間)
256CypJuly 5, 2015 07:33:35 UTC 2015 年 7 月 5 日 (日) 16 時 33 分 35 秒 (日本時間)

127×10233-19

c196

composite cofactor 合成数の残り
1727402522370015996092686139834741567841701137053651658510234216703620645826453249188728541796227184232486239594575740297251457742422374608870600680987879207196221326271926296995006811409296189649<196>

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 02:57:28 UTC 2014 年 12 月 7 日 (日) 11 時 57 分 28 秒 (日本時間)
4511e6591 / 4413CypMay 18, 2015 04:57:47 UTC 2015 年 5 月 18 日 (月) 13 時 57 分 47 秒 (日本時間)

127×10234-19

c231

name 名前Serge Batalov
date 日付December 9, 2014 01:26:37 UTC 2014 年 12 月 9 日 (火) 10 時 26 分 37 秒 (日本時間)
composite number 合成数
193220839247868865428531871549220346306515193700087786160823638059332490464475511921117212021074764293397476566267901454329135724707468213650519794486055388959635101684368434104847408786831771591668073983802920829662898099589367681<231>
prime factors 素因数
4678437518161912300284003614263091<34>
composite cofactor 合成数の残り
41300292778898204796394085202664497749347660899396311404285063159648635008634112584035050936803080268260866984261526583538451617917929185672276025671649530549876622957414396632331240414582388090491<197>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=124767537
Step 1 took 19958ms
Step 2 took 14836ms
********** Factor found in step 2: 4678437518161912300284003614263091
Found probable prime factor of 34 digits: 4678437518161912300284003614263091
Composite 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)
403e62320Serge BatalovDecember 9, 2014 00:57:53 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 53 秒 (日本時間)

127×10236-19

c238

composite cofactor 合成数の残り
1411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<238>

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 00:57:54 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 54 秒 (日本時間)
4511e640001000Serge BatalovDecember 18, 2014 00:18:57 UTC 2014 年 12 月 18 日 (木) 9 時 18 分 57 秒 (日本時間)
1000Serge BatalovDecember 18, 2014 01:48:45 UTC 2014 年 12 月 18 日 (木) 10 時 48 分 45 秒 (日本時間)
2000Serge BatalovDecember 20, 2014 04:02:02 UTC 2014 年 12 月 20 日 (土) 13 時 2 分 2 秒 (日本時間)
5043e6500 / 6567Serge BatalovJanuary 11, 2015 01:24:45 UTC 2015 年 1 月 11 日 (日) 10 時 24 分 45 秒 (日本時間)

127×10237-19

c192

name 名前Cyp
date 日付May 23, 2015 08:21:59 UTC 2015 年 5 月 23 日 (土) 17 時 21 分 59 秒 (日本時間)
composite number 合成数
894733870252529075980800026269662196893036778036172400111565490097272222183260361377960382182202352266731667060488651248013867913278676385848421131918838493225101998055419835215149411290569761<192>
prime factors 素因数
794055417944071827915813218090457120713<39>
1126790208886337946611897439343738111328268049987286241883122006191399184549875575572809523509546100231364942302628702429374279514698234483505505998886297<154>
factorization results 素因数分解の結果
Run 239 out of 591:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3940407979
Step 1 took 58794ms
Step 2 took 19659ms
********** Factor found in step 2: 794055417944071827915813218090457120713
Found probable prime factor of 39 digits: 794055417944071827915813218090457120713
Probable prime cofactor 1126790208886337946611897439343738111328268049987286241883122006191399184549875575572809523509546100231364942302628702429374279514698234483505505998886297 has 154 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 / 1494CypDecember 9, 2014 00:34:16 UTC 2014 年 12 月 9 日 (火) 9 時 34 分 16 秒 (日本時間)
4511e6239 / 4413CypMay 23, 2015 08:21:58 UTC 2015 年 5 月 23 日 (土) 17 時 21 分 58 秒 (日本時間)

127×10238-19

c215

composite cofactor 合成数の残り
22876921252634432270249362708322694855806422136317180765229773856088473511919477067575324755958160019622896935964918792072501016572408513495406116811589895983649838468688358444797057648936138491981637118252870875903<215>

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 8, 2014 11:18:31 UTC 2014 年 12 月 8 日 (月) 20 時 18 分 31 秒 (日本時間)
4511e6591 / 4413CypJune 30, 2015 06:58:38 UTC 2015 年 6 月 30 日 (火) 15 時 58 分 38 秒 (日本時間)

127×10239-19

c204

composite cofactor 合成数の残り
958266136385280590497017726181889453972398027456643809928910854227455990534775245257423822238415143065735389672403123934531189905183703385904847065099963976749432331023961466998183334985655052529183705797<204>

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 19:48:23 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 23 秒 (日本時間)
4511e6585 / 4409CypMay 26, 2015 13:27:50 UTC 2015 年 5 月 26 日 (火) 22 時 27 分 50 秒 (日本時間)

127×10241-19

c195

composite cofactor 合成数の残り
381824850729272991993622719244365800478539779690313631015546822401340473861567759297248198163225825173193751024060371230783182218330831777160418559160727958759694532524162406218241233820962566261<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)
403e6280CypDecember 8, 2014 04:37:22 UTC 2014 年 12 月 8 日 (月) 13 時 37 分 22 秒 (日本時間)
4511e6591 / 4413155CypJanuary 8, 2015 17:40:09 UTC 2015 年 1 月 9 日 (金) 2 時 40 分 9 秒 (日本時間)
436CypJuly 31, 2015 05:25:39 UTC 2015 年 7 月 31 日 (金) 14 時 25 分 39 秒 (日本時間)

127×10242-19

c239

composite cofactor 合成数の残り
29237948555023747199948430704910824256907177571040157286350021986016433108408327520276632432942649879019354601063156271079524917868990968466757373373207449000499577546176390011211717280548476288484162010465804262294327147320123305868079297<239>

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 00:57:58 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 58 秒 (日本時間)
4511e63000 / 39621000Serge BatalovDecember 18, 2014 00:19:03 UTC 2014 年 12 月 18 日 (木) 9 時 19 分 3 秒 (日本時間)
1000Serge BatalovDecember 18, 2014 01:48:52 UTC 2014 年 12 月 18 日 (木) 10 時 48 分 52 秒 (日本時間)
1000Serge BatalovDecember 21, 2014 10:25:00 UTC 2014 年 12 月 21 日 (日) 19 時 25 分 0 秒 (日本時間)

127×10243-19

c227

composite cofactor 合成数の残り
16423487860333774376584928852755176679675344405422225074820109563416196141177937357434322462143550633946467381666105763913371176309783295645623950837485810184899587619099522815924268355830785586775041275957304748730824274055583<227>

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 19:48:23 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 23 秒 (日本時間)
4511e6585 / 4409CypMay 29, 2015 07:27:29 UTC 2015 年 5 月 29 日 (金) 16 時 27 分 29 秒 (日本時間)

127×10246-19

c204

composite cofactor 合成数の残り
163878608418517323972185077468139484624131884116694989912964165390662342774766848370894520213004439274205462612579889552697001983818302882617693682543986337776201432763214983543814223180369920196781900389<204>

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 00:39:06 UTC 2014 年 12 月 7 日 (日) 9 時 39 分 6 秒 (日本時間)
4511e6591 / 4413CypJuly 3, 2015 06:54:46 UTC 2015 年 7 月 3 日 (金) 15 時 54 分 46 秒 (日本時間)

127×10248-19

c238

name 名前Cyp
date 日付June 3, 2015 05:21:58 UTC 2015 年 6 月 3 日 (水) 14 時 21 分 58 秒 (日本時間)
composite number 合成数
1761574897753203769382565658642851286847280210562156971085185219281170111735080590332633665645691824779912523061941885104837356743179516339937024852130152044107265237049671945410043742424915968387882176906905995480613387623309896355159311<238>
prime factors 素因数
1849024557358391076491502131243453727211<40>
composite cofactor 合成数の残り
952704976655300747971764777378952108254946814827954856848177123663907385376856576145881709572474098414337020889340569523539491743027084482942965079468892668995515163278204492185314054934244636501101<198>
factorization results 素因数分解の結果
Run 180 out of 591:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3635536335
Step 1 took 91954ms
Step 2 took 25490ms
********** Factor found in step 2: 1849024557358391076491502131243453727211
Found probable prime factor of 40 digits: 1849024557358391076491502131243453727211
Composite cofactor 952704976655300747971764777378952108254946814827954856848177123663907385376856576145881709572474098414337020889340569523539491743027084482942965079468892668995515163278204492185314054934244636501101 has 198 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)
403e6280CypDecember 8, 2014 12:25:39 UTC 2014 年 12 月 8 日 (月) 21 時 25 分 39 秒 (日本時間)
4511e6591 / 4413CypJune 3, 2015 05:21:58 UTC 2015 年 6 月 3 日 (水) 14 時 21 分 58 秒 (日本時間)

127×10249-19

c245

composite cofactor 合成数の残り
41419576065746891167291710899186382547943159296102026526140155365808237799244206885238095704007229835923035252625169469663095777388368535080913304913633661135033362327036579356157150437530962763801116893544840604751901631442089399099792804278153<245>

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 20:27:33 UTC 2014 年 12 月 7 日 (日) 5 時 27 分 33 秒 (日本時間)
2320Serge BatalovDecember 9, 2014 19:26:07 UTC 2014 年 12 月 10 日 (水) 4 時 26 分 7 秒 (日本時間)
4511e640001000Serge BatalovDecember 18, 2014 00:19:06 UTC 2014 年 12 月 18 日 (木) 9 時 19 分 6 秒 (日本時間)
1000Serge BatalovDecember 18, 2014 01:48:55 UTC 2014 年 12 月 18 日 (木) 10 時 48 分 55 秒 (日本時間)
2000Serge BatalovDecember 20, 2014 23:59:04 UTC 2014 年 12 月 21 日 (日) 8 時 59 分 4 秒 (日本時間)

127×10250-19

c209

composite cofactor 合成数の残り
34405833778044696016636216889103853648981338775661511517667663746347227020805009802149973970952911041460932543575175327964215842580696288118106136662402564582811289765332535535887939498581646300781653000830397<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)
403e61300300Serge BatalovDecember 10, 2014 19:48:23 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 23 秒 (日本時間)
1000Dmitry DomanovDecember 17, 2014 13:30:22 UTC 2014 年 12 月 17 日 (水) 22 時 30 分 22 秒 (日本時間)
4511e6600 / 4188Dmitry DomanovApril 27, 2015 14:05:43 UTC 2015 年 4 月 27 日 (月) 23 時 5 分 43 秒 (日本時間)

127×10251-19

c230

composite cofactor 合成数の残り
17638886621135227876349527955007608982553932386063942895204710907448425693197034557382762800449389155073671943081494346849169093146284519004810029879610761593353068060245185493620384171111058868189296826707414416118931333721349537<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6325KTakahashiNovember 20, 2015 13:16:02 UTC 2015 年 11 月 20 日 (金) 22 時 16 分 2 秒 (日本時間)
403e6600 / 2247Dmitry DomanovMarch 9, 2016 08:47:10 UTC 2016 年 3 月 9 日 (水) 17 時 47 分 10 秒 (日本時間)

127×10253-19

c243

composite cofactor 合成数の残り
341867108386380799060980515416377448855135220222743995145068268860258745552192032635071480815465340544676609113385816380776059593479244696765602430183254909742929771963049893153900852372970961390337123081558752418569727600701430438094307310667<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6325KTakahashiNovember 20, 2015 13:16:20 UTC 2015 年 11 月 20 日 (金) 22 時 16 分 20 秒 (日本時間)
403e6600 / 2247Dmitry DomanovMarch 9, 2016 08:47:23 UTC 2016 年 3 月 9 日 (水) 17 時 47 分 23 秒 (日本時間)

127×10254-19

c203

composite cofactor 合成数の残り
56986413631250093713799056048490120794661314324088867469632534123513385075618619399683562320375054263718731416476889567330106952385220126769009439936360897505143723962483782360581359054634781978966817919<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6325KTakahashiNovember 20, 2015 13:16:43 UTC 2015 年 11 月 20 日 (金) 22 時 16 分 43 秒 (日本時間)
403e6600 / 2247Dmitry DomanovMarch 9, 2016 08:47:50 UTC 2016 年 3 月 9 日 (水) 17 時 47 分 50 秒 (日本時間)

127×10255-19

c229

composite cofactor 合成数の残り
1546810756726261538136846985985895985342705139470182489603776370037462047284339884205329043857606720572937863736196386084686212823341981626678165769456054915523281192614778549956198329945474864275550905391092967885296805043411421<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6325KTakahashiNovember 20, 2015 13:16:54 UTC 2015 年 11 月 20 日 (金) 22 時 16 分 54 秒 (日本時間)
403e6600 / 2247Dmitry DomanovMarch 9, 2016 08:48:01 UTC 2016 年 3 月 9 日 (水) 17 時 48 分 1 秒 (日本時間)

127×10259-19

c208

composite cofactor 合成数の残り
2550415734332925513836527169294558600421488616584562159587352144588668908348601039561012154702889988448456580942702800948406631257586057964124981281224941067237294701207382312538874207541304824007000496935233<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6325KTakahashiNovember 20, 2015 13:17:28 UTC 2015 年 11 月 20 日 (金) 22 時 17 分 28 秒 (日本時間)
403e6600 / 2247Dmitry DomanovMarch 9, 2016 08:48:12 UTC 2016 年 3 月 9 日 (水) 17 時 48 分 12 秒 (日本時間)

127×10261-19

c235

composite cofactor 合成数の残り
1925225319035819466547843461473340018948736868036229540711622397101781961152090754882848574092959974418460405452922555011274820558011223784067110478959730716801625218638994693312114429077174181002899987774624158103470779059350629618383<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6325KTakahashiNovember 20, 2015 13:17:58 UTC 2015 年 11 月 20 日 (金) 22 時 17 分 58 秒 (日本時間)
403e6600 / 2247Dmitry DomanovMarch 9, 2016 08:48:25 UTC 2016 年 3 月 9 日 (水) 17 時 48 分 25 秒 (日本時間)

127×10262-19

c223

composite cofactor 合成数の残り
2440650485686207357974516354401090740536922846291459101103723888499611060273979684495888824213285185525200132832730212730714114455041210683863828393920813759988684130241488192098805315533260150739865149899360127685473512641<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6325KTakahashiNovember 20, 2015 13:18:09 UTC 2015 年 11 月 20 日 (金) 22 時 18 分 9 秒 (日本時間)
403e6600 / 2247Dmitry DomanovMarch 9, 2016 08:48:42 UTC 2016 年 3 月 9 日 (水) 17 時 48 分 42 秒 (日本時間)

127×10263-19

c230

composite cofactor 合成数の残り
23181527536334813397538966550687413524123319560194654949379695916435529761255311666260133824746674671982599675225113543128884171199784426123053730244982480933204518560508476400093999314775805136441514085764704287288599164224250727<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6325KTakahashiNovember 20, 2015 13:18:30 UTC 2015 年 11 月 20 日 (金) 22 時 18 分 30 秒 (日本時間)
403e6600 / 2247Dmitry DomanovMarch 9, 2016 08:48:53 UTC 2016 年 3 月 9 日 (水) 17 時 48 分 53 秒 (日本時間)

127×10264-19

c222

composite cofactor 合成数の残り
750927100761390381230648872437806533241399050369911568094431952874635665212321659044544500742045572619950506829171258919187696181598474306212628857871083328879349597113378232878176388270703446577679925501821907571852797407<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
403e6600 / 2089Dmitry DomanovMarch 9, 2016 08:49:03 UTC 2016 年 3 月 9 日 (水) 17 時 49 分 3 秒 (日本時間)

127×10265-19

c212

composite cofactor 合成数の残り
46379844720961111805604893603662439679695202599899093411322327412767562772970612425622562144207741818956184444343070531918744888022914554109006077685915192077071403512759191120575192118316472651578607592734225119<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6325KTakahashiNovember 20, 2015 13:19:04 UTC 2015 年 11 月 20 日 (金) 22 時 19 分 4 秒 (日本時間)
403e6600 / 2247Dmitry DomanovMarch 9, 2016 08:49:14 UTC 2016 年 3 月 9 日 (水) 17 時 49 分 14 秒 (日本時間)

127×10266-19

c254

composite cofactor 合成数の残り
25431374772811966445173998887352722345704599630614273010642341734521919875408612556708305028809787441743655259778244418042337679099976549019721153140423186801983435399661518483624285577008347910202427938637945857459132590904739027865002483959416297812667<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6325KTakahashiNovember 20, 2015 13:19:17 UTC 2015 年 11 月 20 日 (金) 22 時 19 分 17 秒 (日本時間)
403e6600 / 2247Dmitry DomanovMarch 9, 2016 11:14:22 UTC 2016 年 3 月 9 日 (水) 20 時 14 分 22 秒 (日本時間)

127×10267-19

c181

composite cofactor 合成数の残り
1229292525328113969040851295263312917726961472573353329781636396292022630129494423179724918016057224002655398308355912244686482802573752520832034083981938102998090895202755477573841<181>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6325KTakahashiNovember 20, 2015 13:19:37 UTC 2015 年 11 月 20 日 (金) 22 時 19 分 37 秒 (日本時間)
403e6894294KTakahashiNovember 20, 2015 20:43:47 UTC 2015 年 11 月 21 日 (土) 5 時 43 分 47 秒 (日本時間)
600Dmitry DomanovNovember 21, 2015 09:29:08 UTC 2015 年 11 月 21 日 (土) 18 時 29 分 8 秒 (日本時間)
4511e61200400Rich DickersonNovember 26, 2015 23:40:12 UTC 2015 年 11 月 27 日 (金) 8 時 40 分 12 秒 (日本時間)
800Dmitry DomanovFebruary 10, 2016 13:33:53 UTC 2016 年 2 月 10 日 (水) 22 時 33 分 53 秒 (日本時間)
5043e6600 / 6930Dmitry DomanovFebruary 11, 2016 14:26:37 UTC 2016 年 2 月 11 日 (木) 23 時 26 分 37 秒 (日本時間)
5511e7132 / 17473120Dmitry DomanovFebruary 27, 2016 21:13:54 UTC 2016 年 2 月 28 日 (日) 6 時 13 分 54 秒 (日本時間)
12Dmitry DomanovFebruary 28, 2016 19:21:31 UTC 2016 年 2 月 29 日 (月) 4 時 21 分 31 秒 (日本時間)

127×10268-19

c209

composite cofactor 合成数の残り
14868126660054692195627014927147831107670750063959925961586227717037201746384522105122062563504216952608292836492254374372682336719546854426369996768891741479451971685765608346382115318294099101997471497922031<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6325KTakahashiNovember 20, 2015 13:19:53 UTC 2015 年 11 月 20 日 (金) 22 時 19 分 53 秒 (日本時間)
403e6600 / 2247Dmitry DomanovMarch 9, 2016 11:14:41 UTC 2016 年 3 月 9 日 (水) 20 時 14 分 41 秒 (日本時間)

127×10269-19

c220

composite cofactor 合成数の残り
3747797800303417586350589610559385126807779061441778592758639031350052201559226115081896705872837770202484414742777660224165493140707813946956416161529872767671443583509742226188623137764809027094462108074147930931745323<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6325KTakahashiNovember 20, 2015 13:20:10 UTC 2015 年 11 月 20 日 (金) 22 時 20 分 10 秒 (日本時間)
403e6600 / 2247Dmitry DomanovMarch 9, 2016 11:14:52 UTC 2016 年 3 月 9 日 (水) 20 時 14 分 52 秒 (日本時間)

127×10270-19

c270

name 名前Dmitry Domanov
date 日付January 25, 2016 06:11:56 UTC 2016 年 1 月 25 日 (月) 15 時 11 分 56 秒 (日本時間)
composite number 合成数
287981859410430839002267573696145124716553287981859410430839002267573696145124716553287981859410430839002267573696145124716553287981859410430839002267573696145124716553287981859410430839002267573696145124716553287981859410430839002267573696145124716553287981859410430839<270>
prime factors 素因数
2723235786701150407963627931223802841<37>
composite cofactor 合成数の残り
105749880644482786275445745439398139786318065853692157608798177928559458308500410045084128591242262001015338141936459797509250484249445082114103266912718932512534265176353829468049666295837602908034252692420551275162815396444610070479<234>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=928124083
Step 1 took 119888ms
Step 2 took 13707ms
********** Factor found in step 2: 2723235786701150407963627931223802841
Found probable prime factor of 37 digits: 2723235786701150407963627931223802841

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovNovember 20, 2015 20:45:11 UTC 2015 年 11 月 21 日 (土) 5 時 45 分 11 秒 (日本時間)
4511e6800 / 4305Dmitry DomanovJanuary 23, 2016 15:49:32 UTC 2016 年 1 月 24 日 (日) 0 時 49 分 32 秒 (日本時間)

127×10271-19

c238

name 名前KTakahashi
date 日付November 20, 2015 13:23:54 UTC 2015 年 11 月 20 日 (金) 22 時 23 分 54 秒 (日本時間)
composite number 合成数
1062160290426495586548923302390791419725875683620351041088313747457763597971991632358346667087510807934633316478621524141615381157758070141676540121635213722401832746789877403110400842674141943587839958527295013630171182680115567690712611<238>
prime factors 素因数
88596961289414291475495154834460393<35>
11988676304109362490052613377873221587649097414322632520766911497295865488252376537606188422891905096989817392756671181447040540200837042748053376673480884394865676324063103295647449125854931006038474027<203>
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 1062160290426495586548923302390791419725875683620351041088313747457763597971991632358346667087510807934633316478621524141615381157758070141676540121635213722401832746789877403110400842674141943587839958527295013630171182680115567690712611 (238 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1226206140
Step 1 took 8517ms
Step 2 took 4243ms
********** Factor found in step 2: 88596961289414291475495154834460393
Found probable prime factor of 35 digits: 88596961289414291475495154834460393
Probable prime cofactor 11988676304109362490052613377873221587649097414322632520766911497295865488252376537606188422891905096989817392756671181447040540200837042748053376673480884394865676324063103295647449125854931006038474027 has 203 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6325 / 825KTakahashiNovember 20, 2015 13:20:51 UTC 2015 年 11 月 20 日 (金) 22 時 20 分 51 秒 (日本時間)

127×10272-19

c243

composite cofactor 合成数の残り
117638755624538795699868286560945955468263733061842684143634417121175879361864077206156284058934025756395115650680562960394404860901257890783180189880782328144968943911032172884760687654781809344027516321235989249855890270322715020890059761961<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6325KTakahashiNovember 20, 2015 13:24:32 UTC 2015 年 11 月 20 日 (金) 22 時 24 分 32 秒 (日本時間)
403e6600 / 2247Dmitry DomanovMarch 9, 2016 11:15:12 UTC 2016 年 3 月 9 日 (水) 20 時 15 分 12 秒 (日本時間)

127×10273-19

c211

composite cofactor 合成数の残り
2588914776873517248391996777574814763253753057380412384883122941982735088045022689313417038763209209162092681433722205171515672465178374971706967075150125222736586805984398573617410330516762930997685440090154443<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6325KTakahashiNovember 20, 2015 13:24:44 UTC 2015 年 11 月 20 日 (金) 22 時 24 分 44 秒 (日本時間)
403e6600 / 2247Dmitry DomanovMarch 10, 2016 16:45:18 UTC 2016 年 3 月 11 日 (金) 1 時 45 分 18 秒 (日本時間)

127×10276-19

c268

name 名前Dmitry Domanov
date 日付March 9, 2016 13:34:06 UTC 2016 年 3 月 9 日 (水) 22 時 34 分 6 秒 (日本時間)
composite number 合成数
1469391984954303358933029471438280086697542118117119532792224428864743404528131791993386678845957468078315336949386147922607500825885678087360750524443993696998744238623262404239126604595587880245643538217143599173313927900412759049923905573205989845458717297258971583<268>
prime factors 素因数
1494030582008519918137126506133529567<37>
composite cofactor 合成数の残り
983508639414132117034579145104124623751297321331512967720694449612630588676591523619807668471942700639458618983511785141787512918830101223634813357333251583177635448060629932833004012498475331781189822303797196483573512707076988449<231>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3907598623
Step 1 took 28977ms
Step 2 took 9579ms
********** Factor found in step 2: 1494030582008519918137126506133529567
Found probable prime factor of 37 digits: 1494030582008519918137126506133529567

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
403e6600 / 2089Dmitry DomanovMarch 9, 2016 11:17:37 UTC 2016 年 3 月 9 日 (水) 20 時 17 分 37 秒 (日本時間)

127×10279-19

c277

composite cofactor 合成数の残り
9751977270982108577132765107886047761652461030484527374644859095446517699454810719496275819703601320740228825923366351839053981417492129309682868770636566075405052599247485218459648314520463794824541196344928203946863241956538432004914382246794133456192889503186669738155570913<277>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovNovember 20, 2015 20:42:25 UTC 2015 年 11 月 21 日 (土) 5 時 42 分 25 秒 (日本時間)
4511e6800 / 4305Dmitry DomanovJanuary 23, 2016 11:33:08 UTC 2016 年 1 月 23 日 (土) 20 時 33 分 8 秒 (日本時間)

127×10281-19

c236

composite cofactor 合成数の残り
79130138275493328310941966744797728285235373026477520262204606418285392840885681390327281054492866600752017518275002727845697276309848733129947326679908477850692467953075797329714276402956742511591371457574355268304376712304409959798409<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6325KTakahashiNovember 20, 2015 13:25:52 UTC 2015 年 11 月 20 日 (金) 22 時 25 分 52 秒 (日本時間)
403e6600 / 2247Dmitry DomanovMarch 9, 2016 13:35:28 UTC 2016 年 3 月 9 日 (水) 22 時 35 分 28 秒 (日本時間)

127×10282-19

c264

name 名前KTakahashi
date 日付November 20, 2015 13:27:20 UTC 2015 年 11 月 20 日 (金) 22 時 27 分 20 秒 (日本時間)
composite number 合成数
419848016301422182804282075403521067895101385728629558066226793696493461360173827624287682040853565430435605342617284552869200202462317994366155167516863534178781715823985100803823563072058991054060959937259124151611190895593039927987171617237259800724859787518431<264>
prime factors 素因数
690921414761938971820029972533521<33>
composite cofactor 合成数の残り
607663921440448159694496801366515662237887976360606197596290806723799383520746467187526588926770670949523417983287722957044634858861445418543384223305412512852792576032880038046757600134950251642262377116839594382576654730038985711<231>
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 419848016301422182804282075403521067895101385728629558066226793696493461360173827624287682040853565430435605342617284552869200202462317994366155167516863534178781715823985100803823563072058991054060959937259124151611190895593039927987171617237259800724859787518431 (264 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2078255604
Step 1 took 9219ms
********** Factor found in step 1: 690921414761938971820029972533521
Found probable prime factor of 33 digits: 690921414761938971820029972533521
Composite cofactor 607663921440448159694496801366515662237887976360606197596290806723799383520746467187526588926770670949523417983287722957044634858861445418543384223305412512852792576032880038046757600134950251642262377116839594382576654730038985711 has 231 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6325KTakahashiNovember 20, 2015 13:26:08 UTC 2015 年 11 月 20 日 (金) 22 時 26 分 8 秒 (日本時間)
403e6600 / 2247Dmitry DomanovMarch 9, 2016 13:35:49 UTC 2016 年 3 月 9 日 (水) 22 時 35 分 49 秒 (日本時間)

127×10283-19

c241

composite cofactor 合成数の残り
3177499661540816200983758377489153373189726372843157642133162594228242457255705666849706620434812694673476304504224769467363528756551105260395505613314444131064180227870616318281285904376764562434708550247748366902558790462611567304404794231<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6325KTakahashiNovember 20, 2015 13:31:07 UTC 2015 年 11 月 20 日 (金) 22 時 31 分 7 秒 (日本時間)
403e6600 / 2247Dmitry DomanovMarch 9, 2016 13:36:10 UTC 2016 年 3 月 9 日 (水) 22 時 36 分 10 秒 (日本時間)

127×10285-19

c247

composite cofactor 合成数の残り
1467319385170856214494386506679722741552089164726007292549662185428671201965353569733856276949639839618620231147067225006291778861559689380072998263111300149112852483122197577817201646981479707086172987147462025564255808929948120697225604578937513<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6325KTakahashiNovember 20, 2015 13:31:24 UTC 2015 年 11 月 20 日 (金) 22 時 31 分 24 秒 (日本時間)
403e6600 / 2247Dmitry DomanovMarch 10, 2016 16:45:57 UTC 2016 年 3 月 11 日 (金) 1 時 45 分 57 秒 (日本時間)

127×10286-19

c261

composite cofactor 合成数の残り
295155293097499769305266054012457527032592482730856864909021272987180860698584717943805757366457881465293987070389192382228152183917994473042182773634735037980599138601892167473923635789022243794115470808114174018297788917485858070325650327609485471878089167753<261>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6325KTakahashiNovember 20, 2015 13:31:42 UTC 2015 年 11 月 20 日 (金) 22 時 31 分 42 秒 (日本時間)
403e6600 / 2247Dmitry DomanovMarch 9, 2016 11:18:00 UTC 2016 年 3 月 9 日 (水) 20 時 18 分 0 秒 (日本時間)

127×10287-19

c248

composite cofactor 合成数の残り
18733692923312705749313722440486363476927096234306575643147833622541001841285866430867335157537123803760500943214953255805544364875883082600933096551216564306859228137365313746583401621882966011634583283727298723457472896539683702723869807775672351<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6325KTakahashiNovember 20, 2015 13:31:56 UTC 2015 年 11 月 20 日 (金) 22 時 31 分 56 秒 (日本時間)
403e6600 / 2247Dmitry DomanovMarch 9, 2016 11:18:46 UTC 2016 年 3 月 9 日 (水) 20 時 18 分 46 秒 (日本時間)

127×10288-19

c253

name 名前KTakahashi
date 日付November 20, 2015 13:34:19 UTC 2015 年 11 月 20 日 (金) 22 時 34 分 19 秒 (日本時間)
composite number 合成数
6699391591029662261005713266599874707770040431056417049310316347303128820652514312114567147103618541836715401374222958488166663440676097916255037365296052391181939392603667606535069540024667499065120409817692261067137827385205472373091729618031123007599<253>
prime factors 素因数
17463778786922474671566839171442463<35>
22876186866711612914364751740385019<35>
composite cofactor 合成数の残り
16769244881506673913621650312141774552791099068844049229787404864827034604610515971428941088797445699037276765740277644956581397811665116862485224227078465422324826433118135111273337667<185>
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 6699391591029662261005713266599874707770040431056417049310316347303128820652514312114567147103618541836715401374222958488166663440676097916255037365296052391181939392603667606535069540024667499065120409817692261067137827385205472373091729618031123007599 (253 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3619085002
Step 1 took 9235ms
Step 2 took 5008ms
********** Factor found in step 2: 17463778786922474671566839171442463
Found probable prime factor of 35 digits: 17463778786922474671566839171442463
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2005944054
Step 1 took 7534ms
Step 2 took 3963ms
********** Factor found in step 2: 22876186866711612914364751740385019
Found probable prime factor of 35 digits: 22876186866711612914364751740385019
Composite cofactor 16769244881506673913621650312141774552791099068844049229787404864827034604610515971428941088797445699037276765740277644956581397811665116862485224227078465422324826433118135111273337667 has 185 digits

c185

name 名前Erik Branger
date 日付December 5, 2015 15:37:21 UTC 2015 年 12 月 6 日 (日) 0 時 37 分 21 秒 (日本時間)
composite number 合成数
16769244881506673913621650312141774552791099068844049229787404864827034604610515971428941088797445699037276765740277644956581397811665116862485224227078465422324826433118135111273337667<185>
prime factors 素因数
830064717452851278322384576139426260539749<42>
composite cofactor 合成数の残り
20202334262519943993407185389364533510920108800595201291659978559095209114615945037450715618377884464929673484713411575190537636233213227336583<143>
factorization results 素因数分解の結果
Sat 2015/12/05 15:21:37 UTC GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Sat 2015/12/05 15:21:37 UTC Input number is 16769244881506673913621650312141774552791099068844049229787404864827034604610515971428941088797445699037276765740277644956581397811665116862485224227078465422324826433118135111273337667 (185 digits)
Sat 2015/12/05 15:21:37 UTC Run 1055 out of 1500:
Sat 2015/12/05 15:21:37 UTC Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:1765900823
Sat 2015/12/05 15:21:37 UTC Step 1 took 133891ms
Sat 2015/12/05 15:21:37 UTC ********** Factor found in step 1: 830064717452851278322384576139426260539749
Sat 2015/12/05 15:21:37 UTC Found probable prime factor of 42 digits: 830064717452851278322384576139426260539749
Sat 2015/12/05 15:21:37 UTC Composite cofactor 20202334262519943993407185389364533510920108800595201291659978559095209114615945037450715618377884464929673484713411575190537636233213227336583 has 143 digits
software ソフトウェア
GMP-ECM

c143

name 名前Maksym Voznyy
date 日付February 4, 2017 16:52:11 UTC 2017 年 2 月 5 日 (日) 1 時 52 分 11 秒 (日本時間)
composite number 合成数
20202334262519943993407185389364533510920108800595201291659978559095209114615945037450715618377884464929673484713411575190537636233213227336583<143>
prime factors 素因数
1287325191525674876962445669337846108885492767050104238859699695751879<70>
15693264138315451715850909152335532850795751553916536840454112226757626177<74>
factorization results 素因数分解の結果
# Murphy_E = 1.54373724e-11, selected by Maksym Voznyy
# selected by CADO-NFS
n: 20202334262519943993407185389364533510920108800595201291659978559095209114615945037450715618377884464929673484713411575190537636233213227336583
Y0: -2079432710697437083989918933
Y1: 428120549861445858713
c0: -1214764875954416149582253637800
c1: 84026559097763616767376326
c2: -9491267748673107586205
c3: -159007064084532693
c4: 5649812330288
c5: 27941760
skew: 52961.88614
type: gnfs

Msieve v. 1.53 (SVN unknown)
random seeds: cabb1310 614b38cb
factoring 20202334262519943993407185389364533510920108800595201291659978559095209114615945037450715618377884464929673484713411575190537636233213227336583 (143 digits)
searching for 15-digit factors
commencing number field sieve (143-digit input)
R0: -2079432710697437083989918933
R1: 428120549861445858713
A0: -1214764875954416149582253637800
A1: 84026559097763616767376326
A2: -9491267748673107586205
A3: -159007064084532693
A4: 5649812330288
A5: 27941760
skew 52961.89, size 8.219e-14, alpha -6.483, combined = 1.544e-11 rroots = 3

factmsieve.py (v0.76)
This is client 1 of 1
Running on 6 Cores with 1 hyper-thread per Core
Working with NAME = c143_3
Selected lattice siever: gnfs-lasieve4I14e
Creating param file to detect parameter changes...
Running setup ...
Estimated minimum relations needed: 2.376e+07
resuming a block for q from 7150000 to 7180000
Running lattice siever ...
entering sieving loop
making sieve job for q = 7150000 in 7150000 .. 7155000 as file c143_3.job.T0
making sieve job for q = 7155000 in 7155000 .. 7160000 as file c143_3.job.T1
making sieve job for q = 7160000 in 7160000 .. 7165000 as file c143_3.job.T2
making sieve job for q = 7165000 in 7165000 .. 7170000 as file c143_3.job.T3
making sieve job for q = 7170000 in 7170000 .. 7175000 as file c143_3.job.T4
making sieve job for q = 7175000 in 7175000 .. 7180000 as file c143_3.job.T5
Lattice sieving algebraic q from 7150000 to 7180000.
gnfs-lasieve4I14e -k -o spairs.out.T0 -v -n0 -a c143_3.job.T0
gnfs-lasieve4I14e -k -o spairs.out.T1 -v -n1 -a c143_3.job.T1
gnfs-lasieve4I14e -k -o spairs.out.T2 -v -n2 -a c143_3.job.T2
gnfs-lasieve4I14e -k -o spairs.out.T3 -v -n3 -a c143_3.job.T3
gnfs-lasieve4I14e -k -o spairs.out.T4 -v -n4 -a c143_3.job.T4
gnfs-lasieve4I14e -k -o spairs.out.T5 -v -n5 -a c143_3.job.T5
Found 81408 relations, 0.3% of the estimated minimum (23760000).
LatSieveTime: 720.508
...
making sieve job for q = 16060000 in 16060000 .. 16065000 as file c143_3.job.T0
making sieve job for q = 16065000 in 16065000 .. 16070000 as file c143_3.job.T1
making sieve job for q = 16070000 in 16070000 .. 16075000 as file c143_3.job.T2
making sieve job for q = 16075000 in 16075000 .. 16080000 as file c143_3.job.T3
making sieve job for q = 16080000 in 16080000 .. 16085000 as file c143_3.job.T4
making sieve job for q = 16085000 in 16085000 .. 16090000 as file c143_3.job.T5
Lattice sieving algebraic q from 16060000 to 16090000.
gnfs-lasieve4I14e -k -o spairs.out.T0 -v -n0 -a c143_3.job.T0
gnfs-lasieve4I14e -k -o spairs.out.T1 -v -n1 -a c143_3.job.T1
gnfs-lasieve4I14e -k -o spairs.out.T2 -v -n2 -a c143_3.job.T2
gnfs-lasieve4I14e -k -o spairs.out.T3 -v -n3 -a c143_3.job.T3
gnfs-lasieve4I14e -k -o spairs.out.T4 -v -n4 -a c143_3.job.T4
gnfs-lasieve4I14e -k -o spairs.out.T5 -v -n5 -a c143_3.job.T5
Found 23815368 relations, 100.2% of the estimated minimum (23760000).

commencing relation filtering
estimated available RAM is 7934.2 MB
commencing duplicate removal, pass 1
skipped 2 relations with composite factors
found 3028398 hash collisions in 23815361 relations
added 122037 free relations
commencing duplicate removal, pass 2
found 2495845 duplicates and 21441553 unique relations
memory use: 98.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 689.0 MB
reading all ideals from disk
memory use: 713.5 MB
keeping 22758452 ideals with weight <= 200, target excess is 129559
commencing in-memory singleton removal
begin with 21441553 relations and 22758452 unique ideals
reduce to 9851209 relations and 9442944 ideals in 18 passes
max relations containing the same ideal: 122
removing 1168586 relations and 1039598 ideals in 128988 cliques
commencing in-memory singleton removal
begin with 8682623 relations and 9442944 unique ideals
reduce to 8566394 relations and 8284955 ideals in 9 passes
max relations containing the same ideal: 109
removing 873412 relations and 744424 ideals in 128988 cliques
commencing in-memory singleton removal
begin with 7692982 relations and 8284955 unique ideals
reduce to 7617295 relations and 7463706 ideals in 9 passes
max relations containing the same ideal: 98
relations with 0 large ideals: 479
relations with 1 large ideals: 775
relations with 2 large ideals: 13754
relations with 3 large ideals: 114238
relations with 4 large ideals: 508902
relations with 5 large ideals: 1318929
relations with 6 large ideals: 2081776
relations with 7+ large ideals: 3578442
commencing 2-way merge
reduce to 4507479 relation sets and 4353890 unique ideals
commencing full merge
memory use: 517.9 MB
found 2334059 cycles, need 2312090
weight of 2312090 cycles is about 162063409 (70.09/cycle)
distribution of cycle lengths:
1 relations: 319692
2 relations: 293759
3 relations: 286968
4 relations: 253259
5 relations: 217364
6 relations: 185663
7 relations: 156167
8 relations: 128670
9 relations: 105042
10+ relations: 365506
heaviest cycle: 21 relations
commencing cycle optimization
start with 12614924 relations
pruned 260208 relations
memory use: 435.3 MB
distribution of cycle lengths:
1 relations: 319692
2 relations: 300374
3 relations: 296492
4 relations: 257923
5 relations: 220990
6 relations: 186283
7 relations: 156150
8 relations: 127129
9 relations: 103751
10+ relations: 343306
heaviest cycle: 21 relations
RelProcTime: 976
elapsed time 00:16:18
LatSieveTime: 1683.03
Running matrix solving step ...

commencing linear algebra
read 2312090 cycles
cycles contain 7431588 unique relations
read 7431588 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 977.3 MB
read 2312090 cycles
matrix is 2311908 x 2312090 (703.2 MB) with weight 220012607 (95.16/col)
sparse part has weight 156591345 (67.73/col)
filtering completed in 2 passes
matrix is 2308110 x 2308290 (702.9 MB) with weight 219865395 (95.25/col)
sparse part has weight 156551202 (67.82/col)
matrix starts at (0, 0)
matrix is 2308110 x 2308290 (702.9 MB) with weight 219865395 (95.25/col)
sparse part has weight 156551202 (67.82/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2308062 x 2308290 (676.1 MB) with weight 174618549 (75.65/col)
sparse part has weight 154159773 (66.79/col)
using block size 8192 and superblock size 589824 for processor cache size 6144 kB
commencing Lanczos iteration (6 threads)
memory use: 539.4 MB
linear algebra at 0.1%, ETA 4h38m
checkpointing every 490000 dimensions
lanczos halted after 36503 iterations (dim = 2308062)
recovered 31 nontrivial dependencies
BLanczosTime: 17517
elapsed time 04:51:59
Running square root step ...

commencing square root phase
reading relations for dependency 1
read 1153307 cycles
cycles contain 3712956 unique relations
read 3712956 relations
multiplying 3712956 relations
multiply complete, coefficients have about 212.25 million bits
initial square root is modulo 41398303
GCD is 1, no factor found
reading relations for dependency 2
read 1155616 cycles
cycles contain 3719440 unique relations
read 3719440 relations
multiplying 3719440 relations
multiply complete, coefficients have about 212.61 million bits
initial square root is modulo 42652217
GCD is 1, no factor found
reading relations for dependency 3
read 1154053 cycles
cycles contain 3717128 unique relations
read 3717128 relations
multiplying 3717128 relations
multiply complete, coefficients have about 212.47 million bits
initial square root is modulo 42184927
GCD is N, no factor found
reading relations for dependency 4
read 1154248 cycles
cycles contain 3716226 unique relations
read 3716226 relations
multiplying 3716226 relations
multiply complete, coefficients have about 212.42 million bits
initial square root is modulo 42004439
sqrtTime: 2693
p70 factor: 1287325191525674876962445669337846108885492767050104238859699695751879
p74 factor: 15693264138315451715850909152335532850795751553916536840454112226757626177
elapsed time 00:44:54
Computing 1.4862e+09 scale for this machine...
procrels -speedtest> PIPE
Factorization summary written to g143-c143_3.txt

Number: c143_3
N = 20202334262519943993407185389364533510920108800595201291659978559095209114615945037450715618377884464929673484713411575190537636233213227336583 (143 digits)
Factor base limits: 14300000/14300000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23815368
Relations: 3716226 relations
Pruned matrix : 2308062 x 2308290
Polynomial selection time: 0.00 hours.
Total sieving time: 59.08 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 4.87 hours.
time per square root: 0.75 hours.
Prototype def-par.txt line would be: gnfs,142,5,65,2000,1e-05,0.28,250,20,50000,3600,14300000,14300000,28,28,56,56,2.5,2.5,100000
total time: 64.96 hours.
AMD64 Family 16 Model 10 Stepping 0, AuthenticAMD
Windows-7-6.1.7601-SP1
processors: 6, speed: 3.21GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6325KTakahashiNovember 20, 2015 13:32:08 UTC 2015 年 11 月 20 日 (金) 22 時 32 分 8 秒 (日本時間)
403e62300600Dmitry DomanovNovember 21, 2015 13:30:58 UTC 2015 年 11 月 21 日 (土) 22 時 30 分 58 秒 (日本時間)
1700Serge BatalovNovember 21, 2015 17:59:25 UTC 2015 年 11 月 22 日 (日) 2 時 59 分 25 秒 (日本時間)
4511e6800 / 3955Dmitry DomanovFebruary 29, 2016 11:53:09 UTC 2016 年 2 月 29 日 (月) 20 時 53 分 9 秒 (日本時間)

127×10289-19

c275

composite cofactor 合成数の残り
24846708991266752137691610396692937658387637299806169081333177304492089173575030856997808231296260158518649854811954549160512653540736522041629149544632684909081646729592959483940877964614205992755584248338153536260639724412082508381840458516085715893936384741202645280081749<275>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6325KTakahashiNovember 20, 2015 13:34:59 UTC 2015 年 11 月 20 日 (金) 22 時 34 分 59 秒 (日本時間)
403e6600 / 2247Dmitry DomanovMarch 9, 2016 10:02:55 UTC 2016 年 3 月 9 日 (水) 19 時 2 分 55 秒 (日本時間)

127×10290-19

c214

composite cofactor 合成数の残り
6103770615610070834335723789506071461933605856584407245852171213633903425218565825173531555170344042635128535606294597616983831252013518512546607459898057158528765956053128233652742408925245701152699283214723558223<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6325KTakahashiNovember 20, 2015 13:35:12 UTC 2015 年 11 月 20 日 (金) 22 時 35 分 12 秒 (日本時間)
403e6600 / 2247Dmitry DomanovMarch 10, 2016 16:46:33 UTC 2016 年 3 月 11 日 (金) 1 時 46 分 33 秒 (日本時間)

127×10291-19

c255

composite cofactor 合成数の残り
522787598773442611785087598122883060526340552257007476063399289666745746203473748754601126269247988092414693022946620726478089481832957059601468648871229700352221593612966841029732274088872535382982521896102704894535686548339777823067356670491270057526023<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6325KTakahashiNovember 20, 2015 13:35:35 UTC 2015 年 11 月 20 日 (金) 22 時 35 分 35 秒 (日本時間)
403e6600 / 2247Dmitry DomanovMarch 9, 2016 10:03:07 UTC 2016 年 3 月 9 日 (水) 19 時 3 分 7 秒 (日本時間)

127×10293-19

c279

name 名前KTakahashi
date 日付November 20, 2015 13:37:57 UTC 2015 年 11 月 20 日 (金) 22 時 37 分 57 秒 (日本時間)
composite number 合成数
105907381388772631964825320239163262526547958624026012511785695953064108649618847603891778643817215841660636113760279075315699534407144996967978731959454711726419852797287047747634487406797960089372250599897858548274950069411921472355099789035938842342293660138033464909412328587<279>
prime factors 素因数
151293673468667439548679089030291<33>
composite cofactor 合成数の残り
700011963227965372387586159583595670252212340638361702556683437228203114406462865577248259869708470132638611574597845532244880988046255524773767487106106465932244318791582396975976458308610868002751066982603272650707475353064053141866155143222057<246>
factorization results 素因数分解の結果
Input number is (127*10^293-1)/9/13/19/181/6361/46852639 (279 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=915148778
Step 1 took 9407ms
Step 2 took 2886ms
********** Factor found in step 2: 151293673468667439548679089030291
Found probable prime factor of 33 digits: 151293673468667439548679089030291
Composite cofactor
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
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6325KTakahashiNovember 20, 2015 13:36:04 UTC 2015 年 11 月 20 日 (金) 22 時 36 分 4 秒 (日本時間)
403e6600 / 2247Dmitry DomanovMarch 9, 2016 10:03:22 UTC 2016 年 3 月 9 日 (水) 19 時 3 分 22 秒 (日本時間)

127×10295-19

c280

composite cofactor 合成数の残り
6827153852980400302199980173151987644553163458388467487216884289440806785959645967870754409815895032782390892532361110199588716813228673879337863634940537870570048624021118153872123210959389168481270750698970500327235813702605978916155582486862362725132435448917053198052195349939<280>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6325KTakahashiNovember 20, 2015 13:38:49 UTC 2015 年 11 月 20 日 (金) 22 時 38 分 49 秒 (日本時間)
403e6600 / 2247Dmitry DomanovMarch 9, 2016 10:03:33 UTC 2016 年 3 月 9 日 (水) 19 時 3 分 33 秒 (日本時間)

127×10297-19

c255

composite cofactor 合成数の残り
164336608284544010037332846600756242476070562145235818981040466538470048820123854191550298452571392861071793354322595867870544738772885469102601488458575426772858498182942219942318419080902684559922303905646504180730643769313228269167341531869402259281709<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6325KTakahashiNovember 20, 2015 13:39:11 UTC 2015 年 11 月 20 日 (金) 22 時 39 分 11 秒 (日本時間)
403e6600 / 2247Dmitry DomanovMarch 9, 2016 10:03:44 UTC 2016 年 3 月 9 日 (水) 19 時 3 分 44 秒 (日本時間)

127×10298-19

c299

composite cofactor 合成数の残り
47037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037<299>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovNovember 20, 2015 13:41:29 UTC 2015 年 11 月 20 日 (金) 22 時 41 分 29 秒 (日本時間)
4511e6800 / 4305Dmitry DomanovDecember 31, 2015 00:22:54 UTC 2015 年 12 月 31 日 (木) 9 時 22 分 54 秒 (日本時間)

127×10299-19

c274

name 名前KTakahashi
date 日付November 20, 2015 13:40:59 UTC 2015 年 11 月 20 日 (金) 22 時 40 分 59 秒 (日本時間)
composite number 合成数
1611347053122402055097922404466469773847622618836132804841322743557613498893210896196952168158152961365227477472468950351968368379163466516208656511758016800234795090111488624224443624030770022733079400777847152857800728056353912706284282896964713719283714232183824309343037<274>
prime factors 素因数
2778712105726969407515902423250951353<37>
579889888485169227864790333830835099182191672458967318831247289802560500229771609138501844900961268897264781420595032192623625541491706847923081240324398846886453813279837549394509086073404985861459080048797386044006542026917842414014629<237>
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 1611347053122402055097922404466469773847622618836132804841322743557613498893210896196952168158152961365227477472468950351968368379163466516208656511758016800234795090111488624224443624030770022733079400777847152857800728056353912706284282896964713719283714232183824309343037 (274 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1060874260
Step 1 took 10171ms
Step 2 took 5102ms
********** Factor found in step 2: 2778712105726969407515902423250951353
Found probable prime factor of 37 digits: 2778712105726969407515902423250951353
Probable prime cofactor 579889888485169227864790333830835099182191672458967318831247289802560500229771609138501844900961268897264781420595032192623625541491706847923081240324398846886453813279837549394509086073404985861459080048797386044006542026917842414014629 has 237 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6325 / 825KTakahashiNovember 20, 2015 13:39:42 UTC 2015 年 11 月 20 日 (金) 22 時 39 分 42 秒 (日本時間)