Table of contents 目次

118×10102-19

c95

name 名前Dmitry Domanov
date 日付December 6, 2014 15:07:12 UTC 2014 年 12 月 7 日 (日) 0 時 7 分 12 秒 (日本時間)
composite number 合成数
16961955619921979767870471132172961148278557939835990277132772463070255214297668573033364638333<95>
prime factors 素因数
67251704830395157261589308009663<32>
252215994563989624679519684930052729989262120490141672271793091<63>
factorization results 素因数分解の結果
N=16961955619921979767870471132172961148278557939835990277132772463070255214297668573033364638333
  ( 95 digits)
SNFS difficulty: 104 digits.
Divisors found:
 r1=67251704830395157261589308009663 (pp32)
 r2=252215994563989624679519684930052729989262120490141672271793091 (pp63)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 0.16 hours.
Scaled time: 0.31 units (timescale=1.909).
Factorization parameters were as follows:
n: 16961955619921979767870471132172961148278557939835990277132772463070255214297668573033364638333
m: 10000000000000000000000000
deg: 4
c4: 11800
c0: -1
skew: 0.10
# Murphy_E = 2.317e-07
type: snfs
lss: 1
rlim: 380000
alim: 380000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 380000/380000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [190000, 280001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 38683 x 38915
Total sieving time: 0.14 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,104.000,4,0,0,0,0,0,0,0,0,380000,380000,25,25,44,44,2.2,2.2,10000
total time: 0.16 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)

118×10104-19

c96

name 名前Dmitry Domanov
date 日付December 6, 2014 15:39:07 UTC 2014 年 12 月 7 日 (日) 0 時 39 分 7 秒 (日本時間)
composite number 合成数
129602166013551285050333201168130721582360628079733394745508610486426117323794073891066589746037<96>
prime factors 素因数
812540080696370994289411749843754404836931961<45>
159502489898687062388291833594031619334346098730717<51>
factorization results 素因数分解の結果
N=129602166013551285050333201168130721582360628079733394745508610486426117323794073891066589746037
  ( 96 digits)
SNFS difficulty: 106 digits.
Divisors found:
 r1=812540080696370994289411749843754404836931961 (pp45)
 r2=159502489898687062388291833594031619334346098730717 (pp51)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 0.16 hours.
Scaled time: 0.33 units (timescale=2.035).
Factorization parameters were as follows:
n: 129602166013551285050333201168130721582360628079733394745508610486426117323794073891066589746037
m: 100000000000000000000000000
deg: 4
c4: 118
c0: -1
skew: 0.30
# Murphy_E = 2.267e-07
type: snfs
lss: 1
rlim: 410000
alim: 410000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 410000/410000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [205000, 305001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 38495 x 38743
Total sieving time: 0.14 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,106.000,4,0,0,0,0,0,0,0,0,410000,410000,25,25,44,44,2.2,2.2,20000
total time: 0.16 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)

118×10113-19

c107

name 名前KTakahashi
date 日付December 6, 2014 17:31:25 UTC 2014 年 12 月 7 日 (日) 2 時 31 分 25 秒 (日本時間)
composite number 合成数
44360762002252466562690303674641389573651761499505935772586523514036559004713823442385281781872261073039239<107>
prime factors 素因数
1016869068646715714917361583934997929<37>
43624851389460879547760475405943559431717283774254805013727983965481391<71>
factorization results 素因数分解の結果
Number: 13111_113
N=44360762002252466562690303674641389573651761499505935772586523514036559004713823442385281781872261073039239
  ( 107 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=1016869068646715714917361583934997929 (pp37)
 r2=43624851389460879547760475405943559431717283774254805013727983965481391 (pp71)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.71 hours.
Scaled time: 2.73 units (timescale=1.597).
Factorization parameters were as follows:
n: 44360762002252466562690303674641389573651761499505935772586523514036559004713823442385281781872261073039239
m: 100000000000000000000000
c5: 59
c0: -50
skew: 0.97
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 93164 x 93389
Total sieving time: 1.66 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,116.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.71 hours.
 --------- CPU info (if available) ----------

ECM

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

118×10114-19

c105

name 名前KTakahashi
date 日付December 6, 2014 17:31:57 UTC 2014 年 12 月 7 日 (日) 2 時 31 分 57 秒 (日本時間)
composite number 合成数
599683013918531847265965326564217219713773102502556644080815020186532079324447436632568246475725674118179<105>
prime factors 素因数
222499681793901389458864793503021188515401<42>
2695208411461956857929598583212066002333669382991535219188301579<64>
factorization results 素因数分解の結果
Number: 13111_114
N=599683013918531847265965326564217219713773102502556644080815020186532079324447436632568246475725674118179
  ( 105 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=222499681793901389458864793503021188515401 (pp42)
 r2=2695208411461956857929598583212066002333669382991535219188301579 (pp64)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.48 hours.
Scaled time: 2.56 units (timescale=1.737).
Factorization parameters were as follows:
n: 599683013918531847265965326564217219713773102502556644080815020186532079324447436632568246475725674118179
m: 100000000000000000000000
c5: 59
c0: -5
skew: 0.61
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 : 85098 x 85327
Total sieving time: 1.43 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,116.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.48 hours.
 --------- CPU info (if available) ----------

ECM

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

118×10120-19

c119

name 名前KTakahashi
date 日付December 6, 2014 17:32:46 UTC 2014 年 12 月 7 日 (日) 2 時 32 分 46 秒 (日本時間)
composite number 合成数
59326294620412267471091000502765208647561588738059326294620412267471091000502765208647561588738059326294620412267471091<119>
prime factors 素因数
1061587953965487757016431582268647105227373<43>
55884483616080073143577139915884572856195432429634553105755749620523135212767<77>
factorization results 素因数分解の結果
Number: 13111_120
N=59326294620412267471091000502765208647561588738059326294620412267471091000502765208647561588738059326294620412267471091
  ( 119 digits)
SNFS difficulty: 123 digits.
Divisors found:
 r1=1061587953965487757016431582268647105227373 (pp43)
 r2=55884483616080073143577139915884572856195432429634553105755749620523135212767 (pp77)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 2.00 hours.
Scaled time: 3.46 units (timescale=1.728).
Factorization parameters were as follows:
n: 59326294620412267471091000502765208647561588738059326294620412267471091000502765208647561588738059326294620412267471091
m: 2000000000000000000000000
c5: 59
c0: -16
skew: 0.77
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 79812 x 80037
Total sieving time: 1.95 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,123.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.00 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)

118×10122-19

c104

name 名前Dmitry Domanov
date 日付December 6, 2014 22:05:39 UTC 2014 年 12 月 7 日 (日) 7 時 5 分 39 秒 (日本時間)
composite number 合成数
39089973621766486136735293637291123816470045319336404081234751708412139349544244201353304695114464323151<104>
prime factors 素因数
783062627056934541175965266148410221869727087<45>
49919345236385992304415071766839262417384009233748399453473<59>
factorization results 素因数分解の結果
N=39089973621766486136735293637291123816470045319336404081234751708412139349544244201353304695114464323151
  ( 104 digits)
SNFS difficulty: 124 digits.
Divisors found:
 r1=783062627056934541175965266148410221869727087 (pp45)
 r2=49919345236385992304415071766839262417384009233748399453473 (pp59)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 1.84 hours.
Scaled time: 3.92 units (timescale=2.135).
Factorization parameters were as follows:
n: 39089973621766486136735293637291123816470045319336404081234751708412139349544244201353304695114464323151
m: 1000000000000000000000000
deg: 5
c5: 11800
c0: -1
skew: 0.15
# Murphy_E = 1.1e-08
type: snfs
lss: 1
rlim: 820000
alim: 820000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 820000/820000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [410000, 910001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 87897 x 88122
Total sieving time: 1.79 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,124.000,5,0,0,0,0,0,0,0,0,820000,820000,25,25,46,46,2.2,2.2,50000
total time: 1.84 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)

118×10123-19

c106

name 名前Dmitry Domanov
date 日付December 6, 2014 23:53:07 UTC 2014 年 12 月 7 日 (日) 8 時 53 分 7 秒 (日本時間)
composite number 合成数
1574351524037544581351583368904095237998117892933818449139640095284522878289556898184125703842998037151251<106>
prime factors 素因数
10120770784670698183672155897216143<35>
155556484533976096194159177095292240101083552653953655325295589090717757<72>
factorization results 素因数分解の結果
N=1574351524037544581351583368904095237998117892933818449139640095284522878289556898184125703842998037151251
  ( 106 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=10120770784670698183672155897216143 (pp35)
 r2=155556484533976096194159177095292240101083552653953655325295589090717757 (pp72)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 1.18 hours.
Scaled time: 2.48 units (timescale=2.103).
Factorization parameters were as follows:
n: 1574351524037544581351583368904095237998117892933818449139640095284522878289556898184125703842998037151251
m: 2000000000000000000000000
deg: 5
c5: 7375
c0: -2
skew: 0.19
# Murphy_E = 9.754e-09
type: snfs
lss: 1
rlim: 860000
alim: 860000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 860000/860000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [430000, 730001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 113210 x 113438
Total sieving time: 1.12 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,125.000,5,0,0,0,0,0,0,0,0,860000,860000,26,26,46,46,2.3,2.3,50000
total time: 1.18 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)

118×10128-19

c114

name 名前Dmitry Domanov
date 日付December 8, 2014 10:58:32 UTC 2014 年 12 月 8 日 (月) 19 時 58 分 32 秒 (日本時間)
composite number 合成数
526599163549763387303290353428267879755411726274323250248571245086998915798430567372093036332299564928351226002731<114>
prime factors 素因数
48780235412505505291554110020758777323475586207784497<53>
10795338708323704029567462103514709196361413654562460023696923<62>
factorization results 素因数分解の結果
N=526599163549763387303290353428267879755411726274323250248571245086998915798430567372093036332299564928351226002731
  ( 114 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=48780235412505505291554110020758777323475586207784497 (pp53)
 r2=10795338708323704029567462103514709196361413654562460023696923 (pp62)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 2.09 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 526599163549763387303290353428267879755411726274323250248571245086998915798430567372093036332299564928351226002731
m: 20000000000000000000000000
deg: 5
c5: 7375
c0: -2
skew: 0.19
# Murphy_E = 6.469e-09
type: snfs
lss: 1
rlim: 1040000
alim: 1040000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3

Factor base limits: 1040000/1040000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [520000, 920001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 157601 x 157826
Total sieving time: 1.99 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,130.000,5,0,0,0,0,0,0,0,0,1040000,1040000,26,26,47,47,2.3,2.3,50000
total time: 2.09 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)

118×10130-19

c129

name 名前Dmitry Domanov
date 日付December 8, 2014 10:32:55 UTC 2014 年 12 月 8 日 (月) 19 時 32 分 55 秒 (日本時間)
composite number 合成数
136431957451728523528731645276910625505838825297722280032373684819054225922071915828419470459012602613018846109376806567233206151<129>
prime factors 素因数
64599733336382146989133168219735730741<38>
3291360696423115945728008366456335020193<40>
641667297675653685183924767744109005309208381259627<51>
factorization results 素因数分解の結果
N=136431957451728523528731645276910625505838825297722280032373684819054225922071915828419470459012602613018846109376806567233206151
  ( 129 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=64599733336382146989133168219735730741 (pp38)
 r2=3291360696423115945728008366456335020193 (pp40)
 r3=641667297675653685183924767744109005309208381259627 (pp51)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 1.30 hours.
Scaled time: 2.73 units (timescale=2.103).
Factorization parameters were as follows:
n: 136431957451728523528731645276910625505838825297722280032373684819054225922071915828419470459012602613018846109376806567233206151
m: 100000000000000000000000000
deg: 5
c5: 118
c0: -1
skew: 0.39
# Murphy_E = 8.417e-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, 855001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 145086 x 145313
Total sieving time: 1.19 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.03 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: 1.30 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)

118×10132-19

c96

name 名前KTakahashi
date 日付December 6, 2014 19:07:25 UTC 2014 年 12 月 7 日 (日) 4 時 7 分 25 秒 (日本時間)
composite number 合成数
176619958060429415775729754767028571386988519325477938625858942558786112016686100288815720448207<96>
prime factors 素因数
19421169984659558675703222018393221<35>
9094197630726594789163055533404463602061091063677317895334467<61>
factorization results 素因数分解の結果
Input number is 176619958060429415775729754767028571386988519325477938625858942558786112016686100288815720448207 (96 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1843424660
Step 1 took 2168ms
Step 2 took 1529ms
********** Factor found in step 2: 19421169984659558675703222018393221
Found probable prime factor of 35 digits: 19421169984659558675703222018393221
Probable prime cofactor 9094197630726594789163055533404463602061091063677317895334467 has 61 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)

118×10133-19

c124

name 名前Dmitry Domanov
date 日付December 8, 2014 14:11:55 UTC 2014 年 12 月 8 日 (月) 23 時 11 分 55 秒 (日本時間)
composite number 合成数
2584396736302982163271995212287495370224819099080450146708136445377952435935725324639845870142836612847190130427839282816949<124>
prime factors 素因数
76119223810264323341008148810921947487295167<44>
33951958610940122093425496951000279660231121728855317554479390981347658913182347<80>
factorization results 素因数分解の結果
N=2584396736302982163271995212287495370224819099080450146708136445377952435935725324639845870142836612847190130427839282816949
  ( 124 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=76119223810264323341008148810921947487295167 (pp44)
 r2=33951958610940122093425496951000279660231121728855317554479390981347658913182347 (pp80)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 2.82 hours.
Scaled time: 3.88 units (timescale=1.378).
Factorization parameters were as follows:
n: 2584396736302982163271995212287495370224819099080450146708136445377952435935725324639845870142836612847190130427839282816949
m: 100000000000000000000000000
deg: 5
c5: 118000
c0: -1
skew: 0.10
# Murphy_E = 4.266e-09
type: snfs
lss: 1
rlim: 1250000
alim: 1250000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1250000/1250000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [625000, 1225001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 198805 x 199030
Total sieving time: 2.60 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,135.000,5,0,0,0,0,0,0,0,0,1250000,1250000,26,26,47,47,2.3,2.3,75000
total time: 2.82 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)

118×10134-19

c127

name 名前Dmitry Domanov
date 日付December 9, 2014 13:40:41 UTC 2014 年 12 月 9 日 (火) 22 時 40 分 41 秒 (日本時間)
composite number 合成数
1709881486095669124315987650275475680650288007228175630342951901980172059818280029479916000356317855731155906606570574946880253<127>
prime factors 素因数
10837407731118106318240771710165015202431549349<47>
157775874869594753334829856332905274491463480583456090505060616709393691942616697<81>
factorization results 素因数分解の結果
N=1709881486095669124315987650275475680650288007228175630342951901980172059818280029479916000356317855731155906606570574946880253
  ( 127 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=10837407731118106318240771710165015202431549349 (pp47)
 r2=157775874869594753334829856332905274491463480583456090505060616709393691942616697 (pp81)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 2.92 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1709881486095669124315987650275475680650288007228175630342951901980172059818280029479916000356317855731155906606570574946880253
m: 1000000000000000000000000000
deg: 5
c5: 59
c0: -5
skew: 0.61
# Murphy_E = 5.02e-09
type: snfs
lss: 1
rlim: 1330000
alim: 1330000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3

Factor base limits: 1330000/1330000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [665000, 1190001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 169655 x 169882
Total sieving time: 2.79 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,136.000,5,0,0,0,0,0,0,0,0,1330000,1330000,26,26,48,48,2.3,2.3,75000
total time: 2.92 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosDecember 9, 2014 13:02:04 UTC 2014 年 12 月 9 日 (火) 22 時 2 分 4 秒 (日本時間)
403e6110 / 2126Ignacio SantosDecember 9, 2014 13:02:04 UTC 2014 年 12 月 9 日 (火) 22 時 2 分 4 秒 (日本時間)
4511e632 / 4437Ignacio SantosDecember 9, 2014 13:02:04 UTC 2014 年 12 月 9 日 (火) 22 時 2 分 4 秒 (日本時間)

118×10135-19

c106

name 名前Dmitry Domanov
date 日付December 11, 2014 01:18:52 UTC 2014 年 12 月 11 日 (木) 10 時 18 分 52 秒 (日本時間)
composite number 合成数
7819328272151817869461708273494050190339002151939860329380556211520610900919634052504764125809361681473871<106>
prime factors 素因数
3731172931220412955516336309293793988516273396813<49>
2095675653820266151796745263083501964956725531188680249867<58>
factorization results 素因数分解の結果
 106 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=3731172931220412955516336309293793988516273396813 (pp49)
 r2=2095675653820266151796745263083501964956725531188680249867 (pp58)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 1.96 hours.
Scaled time: 4.20 units (timescale=2.144).
Factorization parameters were as follows:
n: 7819328272151817869461708273494050190339002151939860329380556211520610900919634052504764125809361681473871
m: 1000000000000000000000000000
deg: 5
c5: 118
c0: -1
skew: 0.39
# Murphy_E = 5.532e-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, 1125001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 168418 x 168645
Total sieving time: 1.75 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.09 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: 1.96 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 / 2318Pierre JammesDecember 9, 2014 16:33:21 UTC 2014 年 12 月 10 日 (水) 1 時 33 分 21 秒 (日本時間)

118×10137-19

c104

name 名前Cyp
date 日付December 13, 2014 06:48:18 UTC 2014 年 12 月 13 日 (土) 15 時 48 分 18 秒 (日本時間)
composite number 合成数
35774913696369478979966208046519524043667318373857672595623988080886731923686678483402528661862658307819<104>
prime factors 素因数
37116057737665915280686787465322077074327621<44>
963866204466660697658303225359543278864615127658816614198639<60>
factorization results 素因数分解の結果
12/13/14 06:52:45 v1.34.3, 
12/13/14 06:52:45 v1.34.3, ****************************
12/13/14 06:52:45 v1.34.3, Starting factorization of 35774913696369478979966208046519524043667318373857672595623988080886731923686678483402528661862658307819
12/13/14 06:52:45 v1.34.3, using pretesting plan: none
12/13/14 06:52:45 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/13/14 06:52:45 v1.34.3, ****************************
12/13/14 06:52:45 v1.34.3, nfs: commencing nfs on c104: 35774913696369478979966208046519524043667318373857672595623988080886731923686678483402528661862658307819
12/13/14 06:52:45 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/13/14 06:52:45 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/13/14 06:52:58 v1.34.3, nfs: commencing lattice sieving with 8 threads
[217 lines snipped]
12/13/14 07:44:40 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/13/14 07:44:54 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/13/14 07:45:08 v1.34.3, nfs: commencing msieve filtering
12/13/14 07:45:57 v1.34.3, nfs: commencing msieve linear algebra
12/13/14 07:47:58 v1.34.3, nfs: commencing msieve sqrt
12/13/14 07:48:17 v1.34.3, prp60 = 963866204466660697658303225359543278864615127658816614198639
12/13/14 07:48:17 v1.34.3, prp44 = 37116057737665915280686787465322077074327621
12/13/14 07:48:18 v1.34.3, NFS elapsed time = 3332.5183 seconds.
12/13/14 07:48:18 v1.34.3, 
12/13/14 07:48:18 v1.34.3, 
12/13/14 07:48:18 v1.34.3, Total factoring time = 3332.5187 seconds
--
Sat Dec 13 07:45:08 2014  
Sat Dec 13 07:45:08 2014  commencing relation filtering
Sat Dec 13 07:45:08 2014  estimated available RAM is 15987.3 MB
Sat Dec 13 07:45:08 2014  commencing duplicate removal, pass 1
Sat Dec 13 07:45:20 2014  found 805867 hash collisions in 4481257 relations
Sat Dec 13 07:45:24 2014  added 174709 free relations
Sat Dec 13 07:45:24 2014  commencing duplicate removal, pass 2
Sat Dec 13 07:45:27 2014  found 715618 duplicates and 3940348 unique relations
Sat Dec 13 07:45:27 2014  memory use: 20.6 MB
Sat Dec 13 07:45:27 2014  reading ideals above 100000
Sat Dec 13 07:45:27 2014  commencing singleton removal, initial pass
Sat Dec 13 07:45:45 2014  memory use: 94.1 MB
Sat Dec 13 07:45:45 2014  reading all ideals from disk
Sat Dec 13 07:45:45 2014  memory use: 121.6 MB
Sat Dec 13 07:45:45 2014  keeping 4369327 ideals with weight <= 200, target excess is 20436
Sat Dec 13 07:45:46 2014  commencing in-memory singleton removal
Sat Dec 13 07:45:46 2014  begin with 3940348 relations and 4369327 unique ideals
Sat Dec 13 07:45:47 2014  reduce to 1583604 relations and 1360374 ideals in 14 passes
Sat Dec 13 07:45:47 2014  max relations containing the same ideal: 108
Sat Dec 13 07:45:47 2014  removing 386856 relations and 287094 ideals in 99762 cliques
Sat Dec 13 07:45:47 2014  commencing in-memory singleton removal
Sat Dec 13 07:45:47 2014  begin with 1196748 relations and 1360374 unique ideals
Sat Dec 13 07:45:48 2014  reduce to 1134181 relations and 1005695 ideals in 7 passes
Sat Dec 13 07:45:48 2014  max relations containing the same ideal: 86
Sat Dec 13 07:45:48 2014  removing 311760 relations and 211998 ideals in 99762 cliques
Sat Dec 13 07:45:48 2014  commencing in-memory singleton removal
Sat Dec 13 07:45:48 2014  begin with 822421 relations and 1005695 unique ideals
Sat Dec 13 07:45:48 2014  reduce to 774296 relations and 741343 ideals in 6 passes
Sat Dec 13 07:45:48 2014  max relations containing the same ideal: 68
Sat Dec 13 07:45:49 2014  removing 44140 relations and 34893 ideals in 9247 cliques
Sat Dec 13 07:45:49 2014  commencing in-memory singleton removal
Sat Dec 13 07:45:49 2014  begin with 730156 relations and 741343 unique ideals
Sat Dec 13 07:45:49 2014  reduce to 728664 relations and 704947 ideals in 5 passes
Sat Dec 13 07:45:49 2014  max relations containing the same ideal: 65
Sat Dec 13 07:45:49 2014  relations with 0 large ideals: 466
Sat Dec 13 07:45:49 2014  relations with 1 large ideals: 240
Sat Dec 13 07:45:49 2014  relations with 2 large ideals: 3865
Sat Dec 13 07:45:49 2014  relations with 3 large ideals: 26845
Sat Dec 13 07:45:49 2014  relations with 4 large ideals: 94974
Sat Dec 13 07:45:49 2014  relations with 5 large ideals: 184908
Sat Dec 13 07:45:49 2014  relations with 6 large ideals: 217776
Sat Dec 13 07:45:49 2014  relations with 7+ large ideals: 199590
Sat Dec 13 07:45:49 2014  commencing 2-way merge
Sat Dec 13 07:45:49 2014  reduce to 477339 relation sets and 453622 unique ideals
Sat Dec 13 07:45:49 2014  commencing full merge
Sat Dec 13 07:45:54 2014  memory use: 57.1 MB
Sat Dec 13 07:45:54 2014  found 240829 cycles, need 237822
Sat Dec 13 07:45:54 2014  weight of 237822 cycles is about 16754686 (70.45/cycle)
Sat Dec 13 07:45:54 2014  distribution of cycle lengths:
Sat Dec 13 07:45:54 2014  1 relations: 11295
Sat Dec 13 07:45:54 2014  2 relations: 19816
Sat Dec 13 07:45:54 2014  3 relations: 24342
Sat Dec 13 07:45:54 2014  4 relations: 24977
Sat Dec 13 07:45:54 2014  5 relations: 24811
Sat Dec 13 07:45:54 2014  6 relations: 23542
Sat Dec 13 07:45:54 2014  7 relations: 21279
Sat Dec 13 07:45:54 2014  8 relations: 18732
Sat Dec 13 07:45:54 2014  9 relations: 15886
Sat Dec 13 07:45:54 2014  10+ relations: 53142
Sat Dec 13 07:45:54 2014  heaviest cycle: 21 relations
Sat Dec 13 07:45:54 2014  commencing cycle optimization
Sat Dec 13 07:45:55 2014  start with 1588155 relations
Sat Dec 13 07:45:56 2014  pruned 51204 relations
Sat Dec 13 07:45:56 2014  memory use: 47.0 MB
Sat Dec 13 07:45:56 2014  distribution of cycle lengths:
Sat Dec 13 07:45:56 2014  1 relations: 11295
Sat Dec 13 07:45:56 2014  2 relations: 20268
Sat Dec 13 07:45:56 2014  3 relations: 25205
Sat Dec 13 07:45:56 2014  4 relations: 25923
Sat Dec 13 07:45:56 2014  5 relations: 25935
Sat Dec 13 07:45:56 2014  6 relations: 24214
Sat Dec 13 07:45:56 2014  7 relations: 22045
Sat Dec 13 07:45:56 2014  8 relations: 18923
Sat Dec 13 07:45:56 2014  9 relations: 16121
Sat Dec 13 07:45:56 2014  10+ relations: 47893
Sat Dec 13 07:45:56 2014  heaviest cycle: 21 relations
Sat Dec 13 07:45:57 2014  RelProcTime: 49
Sat Dec 13 07:45:57 2014  
Sat Dec 13 07:45:57 2014  commencing linear algebra
Sat Dec 13 07:45:57 2014  read 237822 cycles
Sat Dec 13 07:45:57 2014  cycles contain 716996 unique relations
Sat Dec 13 07:46:02 2014  read 716996 relations
Sat Dec 13 07:46:02 2014  using 20 quadratic characters above 67108454
Sat Dec 13 07:46:05 2014  building initial matrix
Sat Dec 13 07:46:09 2014  memory use: 86.1 MB
Sat Dec 13 07:46:09 2014  read 237822 cycles
Sat Dec 13 07:46:10 2014  matrix is 237676 x 237822 (71.0 MB) with weight 21100608 (88.72/col)
Sat Dec 13 07:46:10 2014  sparse part has weight 15985732 (67.22/col)
Sat Dec 13 07:46:11 2014  filtering completed in 2 passes
Sat Dec 13 07:46:11 2014  matrix is 237639 x 237800 (71.0 MB) with weight 21099534 (88.73/col)
Sat Dec 13 07:46:11 2014  sparse part has weight 15985166 (67.22/col)
Sat Dec 13 07:46:11 2014  matrix starts at (0, 0)
Sat Dec 13 07:46:11 2014  matrix is 237639 x 237800 (71.0 MB) with weight 21099534 (88.73/col)
Sat Dec 13 07:46:11 2014  sparse part has weight 15985166 (67.22/col)
Sat Dec 13 07:46:11 2014  saving the first 48 matrix rows for later
Sat Dec 13 07:46:11 2014  matrix includes 64 packed rows
Sat Dec 13 07:46:11 2014  matrix is 237591 x 237800 (66.2 MB) with weight 16633490 (69.95/col)
Sat Dec 13 07:46:11 2014  sparse part has weight 14981483 (63.00/col)
Sat Dec 13 07:46:11 2014  using block size 65536 for processor cache size 8192 kB
Sat Dec 13 07:46:11 2014  commencing Lanczos iteration (8 threads)
Sat Dec 13 07:46:11 2014  memory use: 63.0 MB
Sat Dec 13 07:46:17 2014  linear algebra at 5.1%, ETA 0h 1m
Sat Dec 13 07:47:58 2014  lanczos halted after 3760 iterations (dim = 237581)
Sat Dec 13 07:47:58 2014  recovered 37 nontrivial dependencies
Sat Dec 13 07:47:58 2014  BLanczosTime: 121
Sat Dec 13 07:47:58 2014  
Sat Dec 13 07:47:58 2014  commencing square root phase
Sat Dec 13 07:47:58 2014  reading relations for dependency 1
Sat Dec 13 07:47:58 2014  read 119219 cycles
Sat Dec 13 07:47:58 2014  cycles contain 358996 unique relations
Sat Dec 13 07:48:02 2014  read 358996 relations
Sat Dec 13 07:48:02 2014  multiplying 358996 relations
Sat Dec 13 07:48:09 2014  multiply complete, coefficients have about 11.25 million bits
Sat Dec 13 07:48:09 2014  initial square root is modulo 2904641
Sat Dec 13 07:48:17 2014  sqrtTime: 19
--
n: 35774913696369478979966208046519524043667318373857672595623988080886731923686678483402528661862658307819
m: 1000000000000000000000000000
deg: 5
c5: 11800
c0: -1
skew: 0.15
# Murphy_E = 3.166e-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 17:54:39 UTC 2014 年 12 月 10 日 (水) 2 時 54 分 39 秒 (日本時間)
403e6530 / 2126110Ignacio SantosDecember 9, 2014 17:54:39 UTC 2014 年 12 月 10 日 (水) 2 時 54 分 39 秒 (日本時間)
420Pierre JammesDecember 9, 2014 18:22:39 UTC 2014 年 12 月 10 日 (水) 3 時 22 分 39 秒 (日本時間)
4511e632 / 4344Ignacio SantosDecember 9, 2014 17:54:39 UTC 2014 年 12 月 10 日 (水) 2 時 54 分 39 秒 (日本時間)

118×10139-19

c127

name 名前Cyp
date 日付December 13, 2014 16:15:01 UTC 2014 年 12 月 14 日 (日) 1 時 15 分 1 秒 (日本時間)
composite number 合成数
4386670421056284181170810412489476278421272649745463617956138615073447070754285666707801799655954596811076608674189035613475603<127>
prime factors 素因数
198563461037065598135997746407551504455035713475401668693<57>
22092032432076865264934218663494529862455270821338090470996200648508871<71>
factorization results 素因数分解の結果
12/13/14 16:30:57 v1.34.3, 
12/13/14 16:30:57 v1.34.3, ****************************
12/13/14 16:30:57 v1.34.3, Starting factorization of 4386670421056284181170810412489476278421272649745463617956138615073447070754285666707801799655954596811076608674189035613475603
12/13/14 16:30:57 v1.34.3, using pretesting plan: none
12/13/14 16:30:57 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/13/14 16:30:57 v1.34.3, ****************************
12/13/14 16:30:57 v1.34.3, nfs: commencing nfs on c127: 4386670421056284181170810412489476278421272649745463617956138615073447070754285666707801799655954596811076608674189035613475603
12/13/14 16:30:57 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/13/14 16:30:57 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/13/14 16:31:48 v1.34.3, nfs: commencing lattice sieving with 8 threads
[40 lines snipped]
12/13/14 17:07:51 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/13/14 17:08:45 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/13/14 17:09:40 v1.34.3, nfs: commencing msieve filtering
12/13/14 17:10:31 v1.34.3, nfs: commencing msieve linear algebra
12/13/14 17:14:18 v1.34.3, nfs: commencing msieve sqrt
12/13/14 17:15:00 v1.34.3, prp71 = 22092032432076865264934218663494529862455270821338090470996200648508871
12/13/14 17:15:00 v1.34.3, prp57 = 198563461037065598135997746407551504455035713475401668693
12/13/14 17:15:00 v1.34.3, NFS elapsed time = 2643.3101 seconds.
12/13/14 17:15:00 v1.34.3, 
12/13/14 17:15:00 v1.34.3, 
12/13/14 17:15:00 v1.34.3, Total factoring time = 2643.3127 seconds
--
Sat Dec 13 17:09:40 2014  
Sat Dec 13 17:09:40 2014  commencing relation filtering
Sat Dec 13 17:09:40 2014  estimated available RAM is 15987.3 MB
Sat Dec 13 17:09:40 2014  commencing duplicate removal, pass 1
Sat Dec 13 17:09:53 2014  found 612109 hash collisions in 4560516 relations
Sat Dec 13 17:09:57 2014  added 180778 free relations
Sat Dec 13 17:09:57 2014  commencing duplicate removal, pass 2
Sat Dec 13 17:10:01 2014  found 436448 duplicates and 4304846 unique relations
Sat Dec 13 17:10:01 2014  memory use: 20.6 MB
Sat Dec 13 17:10:01 2014  reading ideals above 100000
Sat Dec 13 17:10:01 2014  commencing singleton removal, initial pass
Sat Dec 13 17:10:20 2014  memory use: 94.1 MB
Sat Dec 13 17:10:20 2014  reading all ideals from disk
Sat Dec 13 17:10:20 2014  memory use: 135.7 MB
Sat Dec 13 17:10:20 2014  keeping 4560234 ideals with weight <= 200, target excess is 22491
Sat Dec 13 17:10:21 2014  commencing in-memory singleton removal
Sat Dec 13 17:10:21 2014  begin with 4304846 relations and 4560234 unique ideals
Sat Dec 13 17:10:22 2014  reduce to 1917049 relations and 1553926 ideals in 11 passes
Sat Dec 13 17:10:22 2014  max relations containing the same ideal: 116
Sat Dec 13 17:10:23 2014  removing 550407 relations and 381890 ideals in 168517 cliques
Sat Dec 13 17:10:23 2014  commencing in-memory singleton removal
Sat Dec 13 17:10:23 2014  begin with 1366642 relations and 1553926 unique ideals
Sat Dec 13 17:10:23 2014  reduce to 1266916 relations and 1061972 ideals in 7 passes
Sat Dec 13 17:10:23 2014  max relations containing the same ideal: 88
Sat Dec 13 17:10:23 2014  removing 464947 relations and 296430 ideals in 168517 cliques
Sat Dec 13 17:10:24 2014  commencing in-memory singleton removal
Sat Dec 13 17:10:24 2014  begin with 801969 relations and 1061972 unique ideals
Sat Dec 13 17:10:24 2014  reduce to 712765 relations and 664793 ideals in 8 passes
Sat Dec 13 17:10:24 2014  max relations containing the same ideal: 58
Sat Dec 13 17:10:24 2014  removing 89668 relations and 67786 ideals in 21882 cliques
Sat Dec 13 17:10:24 2014  commencing in-memory singleton removal
Sat Dec 13 17:10:24 2014  begin with 623097 relations and 664793 unique ideals
Sat Dec 13 17:10:24 2014  reduce to 613609 relations and 587204 ideals in 6 passes
Sat Dec 13 17:10:24 2014  max relations containing the same ideal: 51
Sat Dec 13 17:10:24 2014  relations with 0 large ideals: 518
Sat Dec 13 17:10:24 2014  relations with 1 large ideals: 238
Sat Dec 13 17:10:24 2014  relations with 2 large ideals: 3732
Sat Dec 13 17:10:24 2014  relations with 3 large ideals: 24061
Sat Dec 13 17:10:24 2014  relations with 4 large ideals: 82615
Sat Dec 13 17:10:24 2014  relations with 5 large ideals: 156467
Sat Dec 13 17:10:24 2014  relations with 6 large ideals: 181162
Sat Dec 13 17:10:24 2014  relations with 7+ large ideals: 164816
Sat Dec 13 17:10:24 2014  commencing 2-way merge
Sat Dec 13 17:10:25 2014  reduce to 391596 relation sets and 365191 unique ideals
Sat Dec 13 17:10:25 2014  commencing full merge
Sat Dec 13 17:10:29 2014  memory use: 48.4 MB
Sat Dec 13 17:10:29 2014  found 198949 cycles, need 195391
Sat Dec 13 17:10:29 2014  weight of 195391 cycles is about 13902800 (71.15/cycle)
Sat Dec 13 17:10:29 2014  distribution of cycle lengths:
Sat Dec 13 17:10:29 2014  1 relations: 12753
Sat Dec 13 17:10:29 2014  2 relations: 17307
Sat Dec 13 17:10:29 2014  3 relations: 19386
Sat Dec 13 17:10:29 2014  4 relations: 20166
Sat Dec 13 17:10:29 2014  5 relations: 20145
Sat Dec 13 17:10:29 2014  6 relations: 18609
Sat Dec 13 17:10:29 2014  7 relations: 17265
Sat Dec 13 17:10:29 2014  8 relations: 14827
Sat Dec 13 17:10:29 2014  9 relations: 12670
Sat Dec 13 17:10:29 2014  10+ relations: 42263
Sat Dec 13 17:10:29 2014  heaviest cycle: 20 relations
Sat Dec 13 17:10:29 2014  commencing cycle optimization
Sat Dec 13 17:10:30 2014  start with 1276350 relations
Sat Dec 13 17:10:31 2014  pruned 43899 relations
Sat Dec 13 17:10:31 2014  memory use: 38.4 MB
Sat Dec 13 17:10:31 2014  distribution of cycle lengths:
Sat Dec 13 17:10:31 2014  1 relations: 12753
Sat Dec 13 17:10:31 2014  2 relations: 17713
Sat Dec 13 17:10:31 2014  3 relations: 20137
Sat Dec 13 17:10:31 2014  4 relations: 20828
Sat Dec 13 17:10:31 2014  5 relations: 21117
Sat Dec 13 17:10:31 2014  6 relations: 19302
Sat Dec 13 17:10:31 2014  7 relations: 17821
Sat Dec 13 17:10:31 2014  8 relations: 15142
Sat Dec 13 17:10:31 2014  9 relations: 12796
Sat Dec 13 17:10:31 2014  10+ relations: 37782
Sat Dec 13 17:10:31 2014  heaviest cycle: 20 relations
Sat Dec 13 17:10:31 2014  RelProcTime: 51
Sat Dec 13 17:10:31 2014  
Sat Dec 13 17:10:31 2014  commencing linear algebra
Sat Dec 13 17:10:31 2014  read 195391 cycles
Sat Dec 13 17:10:31 2014  cycles contain 597747 unique relations
Sat Dec 13 17:10:35 2014  read 597747 relations
Sat Dec 13 17:10:36 2014  using 20 quadratic characters above 67093070
Sat Dec 13 17:10:38 2014  building initial matrix
Sat Dec 13 17:10:42 2014  memory use: 73.3 MB
Sat Dec 13 17:10:42 2014  read 195391 cycles
Sat Dec 13 17:10:42 2014  matrix is 195224 x 195391 (58.4 MB) with weight 17562816 (89.89/col)
Sat Dec 13 17:10:42 2014  sparse part has weight 13160144 (67.35/col)
Sat Dec 13 17:10:43 2014  filtering completed in 2 passes
Sat Dec 13 17:10:43 2014  matrix is 195186 x 195362 (58.4 MB) with weight 17561006 (89.89/col)
Sat Dec 13 17:10:43 2014  sparse part has weight 13159015 (67.36/col)
Sat Dec 13 17:10:43 2014  matrix starts at (0, 0)
Sat Dec 13 17:10:43 2014  matrix is 195186 x 195362 (58.4 MB) with weight 17561006 (89.89/col)
Sat Dec 13 17:10:43 2014  sparse part has weight 13159015 (67.36/col)
Sat Dec 13 17:10:43 2014  saving the first 48 matrix rows for later
Sat Dec 13 17:10:43 2014  matrix includes 64 packed rows
Sat Dec 13 17:10:43 2014  matrix is 195138 x 195362 (54.9 MB) with weight 13819722 (70.74/col)
Sat Dec 13 17:10:43 2014  sparse part has weight 12442080 (63.69/col)
Sat Dec 13 17:10:43 2014  using block size 65536 for processor cache size 8192 kB
Sat Dec 13 17:10:43 2014  commencing Lanczos iteration
Sat Dec 13 17:10:43 2014  memory use: 41.6 MB
Sat Dec 13 17:10:57 2014  linear algebra at 6.2%, ETA 0h 3m
Sat Dec 13 17:14:18 2014  lanczos halted after 3088 iterations (dim = 195136)
Sat Dec 13 17:14:18 2014  recovered 36 nontrivial dependencies
Sat Dec 13 17:14:18 2014  BLanczosTime: 227
Sat Dec 13 17:14:18 2014  
Sat Dec 13 17:14:18 2014  commencing square root phase
Sat Dec 13 17:14:18 2014  reading relations for dependency 1
Sat Dec 13 17:14:18 2014  read 98041 cycles
Sat Dec 13 17:14:18 2014  cycles contain 299952 unique relations
Sat Dec 13 17:14:21 2014  read 299952 relations
Sat Dec 13 17:14:22 2014  multiplying 299952 relations
Sat Dec 13 17:14:27 2014  multiply complete, coefficients have about 7.60 million bits
Sat Dec 13 17:14:27 2014  initial square root is modulo 555376291
Sat Dec 13 17:14:32 2014  Newton iteration failed to converge
Sat Dec 13 17:14:32 2014  algebraic square root failed
Sat Dec 13 17:14:32 2014  reading relations for dependency 2
Sat Dec 13 17:14:32 2014  read 97965 cycles
Sat Dec 13 17:14:32 2014  cycles contain 299348 unique relations
Sat Dec 13 17:14:36 2014  read 299348 relations
Sat Dec 13 17:14:36 2014  multiplying 299348 relations
Sat Dec 13 17:14:41 2014  multiply complete, coefficients have about 7.59 million bits
Sat Dec 13 17:14:41 2014  initial square root is modulo 534389551
Sat Dec 13 17:14:46 2014  GCD is 1, no factor found
Sat Dec 13 17:14:46 2014  reading relations for dependency 3
Sat Dec 13 17:14:46 2014  read 97738 cycles
Sat Dec 13 17:14:46 2014  cycles contain 298836 unique relations
Sat Dec 13 17:14:50 2014  read 298836 relations
Sat Dec 13 17:14:50 2014  multiplying 298836 relations
Sat Dec 13 17:14:55 2014  multiply complete, coefficients have about 7.58 million bits
Sat Dec 13 17:14:55 2014  initial square root is modulo 514496201
Sat Dec 13 17:15:00 2014  sqrtTime: 42
--
n: 4386670421056284181170810412489476278421272649745463617956138615073447070754285666707801799655954596811076608674189035613475603
m: 10000000000000000000000000000
deg: 5
c5: 59
c0: -5
skew: 0.61
# Murphy_E = 3.282e-09
type: snfs
lss: 1
rlim: 1610000
alim: 1610000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
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 14:59:51 UTC 2014 年 12 月 10 日 (水) 23 時 59 分 51 秒 (日本時間)
403e6410 / 2126110Ignacio SantosDecember 10, 2014 14:59:51 UTC 2014 年 12 月 10 日 (水) 23 時 59 分 51 秒 (日本時間)
300Serge BatalovDecember 10, 2014 19:47:52 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 52 秒 (日本時間)
4511e632 / 4371Ignacio SantosDecember 10, 2014 14:59:51 UTC 2014 年 12 月 10 日 (水) 23 時 59 分 51 秒 (日本時間)

118×10140-19

c112

name 名前Cyp
date 日付December 13, 2014 18:51:35 UTC 2014 年 12 月 14 日 (日) 3 時 51 分 35 秒 (日本時間)
composite number 合成数
6130029915325127052753877166109816112273450891425134422282223408234685337612823996784359968116704587784604347779<112>
prime factors 素因数
80454375118468864849595520398013881424703<41>
76192623537236768446524677677383726098625794120579153380109488260296893<71>
factorization results 素因数分解の結果
12/13/14 19:04:34 v1.34.3, 
12/13/14 19:04:34 v1.34.3, ****************************
12/13/14 19:04:34 v1.34.3, Starting factorization of 6130029915325127052753877166109816112273450891425134422282223408234685337612823996784359968116704587784604347779
12/13/14 19:04:34 v1.34.3, using pretesting plan: none
12/13/14 19:04:34 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/13/14 19:04:34 v1.34.3, ****************************
12/13/14 19:04:34 v1.34.3, nfs: commencing nfs on c112: 6130029915325127052753877166109816112273450891425134422282223408234685337612823996784359968116704587784604347779
12/13/14 19:04:34 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/13/14 19:04:34 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/13/14 19:04:55 v1.34.3, nfs: commencing lattice sieving with 8 threads
[116 lines snipped]
12/13/14 19:47:48 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/13/14 19:48:09 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/13/14 19:48:32 v1.34.3, nfs: commencing msieve filtering
12/13/14 19:49:25 v1.34.3, nfs: commencing msieve linear algebra
12/13/14 19:51:19 v1.34.3, nfs: commencing msieve sqrt
12/13/14 19:51:34 v1.34.3, prp71 = 76192623537236768446524677677383726098625794120579153380109488260296893
12/13/14 19:51:34 v1.34.3, prp41 = 80454375118468864849595520398013881424703
12/13/14 19:51:35 v1.34.3, NFS elapsed time = 2820.4600 seconds.
12/13/14 19:51:35 v1.34.3, 
12/13/14 19:51:35 v1.34.3, 
12/13/14 19:51:35 v1.34.3, Total factoring time = 2820.4605 seconds
--
Sat Dec 13 19:48:32 2014  
Sat Dec 13 19:48:32 2014  commencing relation filtering
Sat Dec 13 19:48:32 2014  estimated available RAM is 15987.3 MB
Sat Dec 13 19:48:32 2014  commencing duplicate removal, pass 1
Sat Dec 13 19:48:44 2014  found 728697 hash collisions in 4472627 relations
Sat Dec 13 19:48:48 2014  added 177625 free relations
Sat Dec 13 19:48:48 2014  commencing duplicate removal, pass 2
Sat Dec 13 19:48:52 2014  found 607232 duplicates and 4043020 unique relations
Sat Dec 13 19:48:52 2014  memory use: 20.6 MB
Sat Dec 13 19:48:52 2014  reading ideals above 100000
Sat Dec 13 19:48:52 2014  commencing singleton removal, initial pass
Sat Dec 13 19:49:13 2014  memory use: 94.1 MB
Sat Dec 13 19:49:13 2014  reading all ideals from disk
Sat Dec 13 19:49:13 2014  memory use: 124.8 MB
Sat Dec 13 19:49:13 2014  keeping 4487497 ideals with weight <= 200, target excess is 20187
Sat Dec 13 19:49:14 2014  commencing in-memory singleton removal
Sat Dec 13 19:49:14 2014  begin with 4043020 relations and 4487497 unique ideals
Sat Dec 13 19:49:15 2014  reduce to 1609118 relations and 1392212 ideals in 13 passes
Sat Dec 13 19:49:15 2014  max relations containing the same ideal: 105
Sat Dec 13 19:49:16 2014  removing 394037 relations and 297292 ideals in 96745 cliques
Sat Dec 13 19:49:16 2014  commencing in-memory singleton removal
Sat Dec 13 19:49:16 2014  begin with 1215081 relations and 1392212 unique ideals
Sat Dec 13 19:49:16 2014  reduce to 1146333 relations and 1020996 ideals in 8 passes
Sat Dec 13 19:49:16 2014  max relations containing the same ideal: 84
Sat Dec 13 19:49:16 2014  removing 319368 relations and 222623 ideals in 96745 cliques
Sat Dec 13 19:49:16 2014  commencing in-memory singleton removal
Sat Dec 13 19:49:16 2014  begin with 826965 relations and 1020996 unique ideals
Sat Dec 13 19:49:17 2014  reduce to 772630 relations and 739369 ideals in 7 passes
Sat Dec 13 19:49:17 2014  max relations containing the same ideal: 64
Sat Dec 13 19:49:17 2014  removing 50276 relations and 40432 ideals in 9844 cliques
Sat Dec 13 19:49:17 2014  commencing in-memory singleton removal
Sat Dec 13 19:49:17 2014  begin with 722354 relations and 739369 unique ideals
Sat Dec 13 19:49:17 2014  reduce to 720488 relations and 697053 ideals in 6 passes
Sat Dec 13 19:49:17 2014  max relations containing the same ideal: 62
Sat Dec 13 19:49:17 2014  relations with 0 large ideals: 482
Sat Dec 13 19:49:17 2014  relations with 1 large ideals: 216
Sat Dec 13 19:49:17 2014  relations with 2 large ideals: 3850
Sat Dec 13 19:49:17 2014  relations with 3 large ideals: 26120
Sat Dec 13 19:49:17 2014  relations with 4 large ideals: 92510
Sat Dec 13 19:49:17 2014  relations with 5 large ideals: 183251
Sat Dec 13 19:49:17 2014  relations with 6 large ideals: 216092
Sat Dec 13 19:49:17 2014  relations with 7+ large ideals: 197967
Sat Dec 13 19:49:17 2014  commencing 2-way merge
Sat Dec 13 19:49:17 2014  reduce to 459497 relation sets and 436062 unique ideals
Sat Dec 13 19:49:17 2014  commencing full merge
Sat Dec 13 19:49:22 2014  memory use: 56.0 MB
Sat Dec 13 19:49:23 2014  found 233195 cycles, need 230262
Sat Dec 13 19:49:23 2014  weight of 230262 cycles is about 16178911 (70.26/cycle)
Sat Dec 13 19:49:23 2014  distribution of cycle lengths:
Sat Dec 13 19:49:23 2014  1 relations: 12583
Sat Dec 13 19:49:23 2014  2 relations: 20052
Sat Dec 13 19:49:23 2014  3 relations: 23564
Sat Dec 13 19:49:23 2014  4 relations: 23583
Sat Dec 13 19:49:23 2014  5 relations: 23253
Sat Dec 13 19:49:23 2014  6 relations: 21790
Sat Dec 13 19:49:23 2014  7 relations: 19741
Sat Dec 13 19:49:23 2014  8 relations: 17611
Sat Dec 13 19:49:23 2014  9 relations: 15124
Sat Dec 13 19:49:23 2014  10+ relations: 52961
Sat Dec 13 19:49:23 2014  heaviest cycle: 22 relations
Sat Dec 13 19:49:23 2014  commencing cycle optimization
Sat Dec 13 19:49:23 2014  start with 1542575 relations
Sat Dec 13 19:49:25 2014  pruned 48186 relations
Sat Dec 13 19:49:25 2014  memory use: 46.0 MB
Sat Dec 13 19:49:25 2014  distribution of cycle lengths:
Sat Dec 13 19:49:25 2014  1 relations: 12583
Sat Dec 13 19:49:25 2014  2 relations: 20476
Sat Dec 13 19:49:25 2014  3 relations: 24430
Sat Dec 13 19:49:25 2014  4 relations: 24392
Sat Dec 13 19:49:25 2014  5 relations: 24190
Sat Dec 13 19:49:25 2014  6 relations: 22547
Sat Dec 13 19:49:25 2014  7 relations: 20305
Sat Dec 13 19:49:25 2014  8 relations: 17856
Sat Dec 13 19:49:25 2014  9 relations: 15208
Sat Dec 13 19:49:25 2014  10+ relations: 48275
Sat Dec 13 19:49:25 2014  heaviest cycle: 21 relations
Sat Dec 13 19:49:25 2014  RelProcTime: 53
Sat Dec 13 19:49:25 2014  
Sat Dec 13 19:49:25 2014  commencing linear algebra
Sat Dec 13 19:49:25 2014  read 230262 cycles
Sat Dec 13 19:49:25 2014  cycles contain 708036 unique relations
Sat Dec 13 19:49:30 2014  read 708036 relations
Sat Dec 13 19:49:30 2014  using 20 quadratic characters above 67107884
Sat Dec 13 19:49:33 2014  building initial matrix
Sat Dec 13 19:49:37 2014  memory use: 85.1 MB
Sat Dec 13 19:49:37 2014  read 230262 cycles
Sat Dec 13 19:49:37 2014  matrix is 230085 x 230262 (68.4 MB) with weight 20634855 (89.61/col)
Sat Dec 13 19:49:37 2014  sparse part has weight 15391193 (66.84/col)
Sat Dec 13 19:49:38 2014  filtering completed in 2 passes
Sat Dec 13 19:49:38 2014  matrix is 230065 x 230242 (68.4 MB) with weight 20634291 (89.62/col)
Sat Dec 13 19:49:38 2014  sparse part has weight 15391079 (66.85/col)
Sat Dec 13 19:49:39 2014  matrix starts at (0, 0)
Sat Dec 13 19:49:39 2014  matrix is 230065 x 230242 (68.4 MB) with weight 20634291 (89.62/col)
Sat Dec 13 19:49:39 2014  sparse part has weight 15391079 (66.85/col)
Sat Dec 13 19:49:39 2014  saving the first 48 matrix rows for later
Sat Dec 13 19:49:39 2014  matrix includes 64 packed rows
Sat Dec 13 19:49:39 2014  matrix is 230017 x 230242 (64.2 MB) with weight 16244361 (70.55/col)
Sat Dec 13 19:49:39 2014  sparse part has weight 14533278 (63.12/col)
Sat Dec 13 19:49:39 2014  using block size 65536 for processor cache size 8192 kB
Sat Dec 13 19:49:39 2014  commencing Lanczos iteration (8 threads)
Sat Dec 13 19:49:39 2014  memory use: 61.0 MB
Sat Dec 13 19:49:44 2014  linear algebra at 5.3%, ETA 0h 1m
Sat Dec 13 19:51:18 2014  lanczos halted after 3640 iterations (dim = 230014)
Sat Dec 13 19:51:19 2014  recovered 35 nontrivial dependencies
Sat Dec 13 19:51:19 2014  BLanczosTime: 114
Sat Dec 13 19:51:19 2014  
Sat Dec 13 19:51:19 2014  commencing square root phase
Sat Dec 13 19:51:19 2014  reading relations for dependency 1
Sat Dec 13 19:51:19 2014  read 115142 cycles
Sat Dec 13 19:51:19 2014  cycles contain 354280 unique relations
Sat Dec 13 19:51:22 2014  read 354280 relations
Sat Dec 13 19:51:23 2014  multiplying 354280 relations
Sat Dec 13 19:51:28 2014  multiply complete, coefficients have about 8.97 million bits
Sat Dec 13 19:51:28 2014  initial square root is modulo 143261
Sat Dec 13 19:51:34 2014  sqrtTime: 15
--
n: 6130029915325127052753877166109816112273450891425134422282223408234685337612823996784359968116704587784604347779
m: 10000000000000000000000000000
deg: 5
c5: 118
c0: -1
skew: 0.39
# Murphy_E = 3.615e-09
type: snfs
lss: 1
rlim: 1630000
alim: 1630000
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 10, 2014 16:36:35 UTC 2014 年 12 月 11 日 (木) 1 時 36 分 35 秒 (日本時間)
403e6410 / 2126110Ignacio SantosDecember 10, 2014 16:36:35 UTC 2014 年 12 月 11 日 (木) 1 時 36 分 35 秒 (日本時間)
300Serge BatalovDecember 10, 2014 19:47:53 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 53 秒 (日本時間)
4511e632 / 4371Ignacio SantosDecember 10, 2014 16:36:35 UTC 2014 年 12 月 11 日 (木) 1 時 36 分 35 秒 (日本時間)

118×10141-19

c130

name 名前Cyp
date 日付December 13, 2014 23:09:07 UTC 2014 年 12 月 14 日 (日) 8 時 9 分 7 秒 (日本時間)
composite number 合成数
3007320083616771822909203262764157399694569101242985535255486557014645155679023076450893792115863723184715226553835079268306691561<130>
prime factors 素因数
946734156628353038243170077410429387763333931263633238112591<60>
3176520106052660218198040154572246392327204006715654807546037454073671<70>
factorization results 素因数分解の結果
12/13/14 23:26:33 v1.34.3, 
12/13/14 23:26:33 v1.34.3, ****************************
12/13/14 23:26:33 v1.34.3, Starting factorization of 3007320083616771822909203262764157399694569101242985535255486557014645155679023076450893792115863723184715226553835079268306691561
12/13/14 23:26:33 v1.34.3, using pretesting plan: none
12/13/14 23:26:33 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/13/14 23:26:33 v1.34.3, ****************************
12/13/14 23:26:33 v1.34.3, nfs: commencing nfs on c130: 3007320083616771822909203262764157399694569101242985535255486557014645155679023076450893792115863723184715226553835079268306691561
12/13/14 23:26:33 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/13/14 23:26:33 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/13/14 23:27:26 v1.34.3, nfs: commencing lattice sieving with 8 threads
[45 lines snipped]
12/14/14 00:04:53 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/14/14 00:05:42 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/14/14 00:06:30 v1.34.3, nfs: commencing msieve filtering
12/14/14 00:07:14 v1.34.3, nfs: commencing msieve linear algebra
12/14/14 00:08:34 v1.34.3, nfs: commencing msieve sqrt
12/14/14 00:09:06 v1.34.3, prp60 = 946734156628353038243170077410429387763333931263633238112591
12/14/14 00:09:06 v1.34.3, prp70 = 3176520106052660218198040154572246392327204006715654807546037454073671
12/14/14 00:09:06 v1.34.3, NFS elapsed time = 2553.3721 seconds.
12/14/14 00:09:06 v1.34.3, 
12/14/14 00:09:06 v1.34.3, 
12/14/14 00:09:06 v1.34.3, Total factoring time = 2553.3728 seconds
--
Sun Dec 14 00:06:30 2014  
Sun Dec 14 00:06:30 2014  commencing relation filtering
Sun Dec 14 00:06:30 2014  estimated available RAM is 15987.3 MB
Sun Dec 14 00:06:30 2014  commencing duplicate removal, pass 1
Sun Dec 14 00:06:42 2014  found 611212 hash collisions in 4474866 relations
Sun Dec 14 00:06:46 2014  added 180707 free relations
Sun Dec 14 00:06:46 2014  commencing duplicate removal, pass 2
Sun Dec 14 00:06:49 2014  found 445003 duplicates and 4210570 unique relations
Sun Dec 14 00:06:49 2014  memory use: 20.6 MB
Sun Dec 14 00:06:49 2014  reading ideals above 100000
Sun Dec 14 00:06:49 2014  commencing singleton removal, initial pass
Sun Dec 14 00:07:06 2014  memory use: 94.1 MB
Sun Dec 14 00:07:06 2014  reading all ideals from disk
Sun Dec 14 00:07:06 2014  memory use: 133.8 MB
Sun Dec 14 00:07:06 2014  keeping 4564752 ideals with weight <= 200, target excess is 21788
Sun Dec 14 00:07:06 2014  commencing in-memory singleton removal
Sun Dec 14 00:07:06 2014  begin with 4210570 relations and 4564752 unique ideals
Sun Dec 14 00:07:07 2014  reduce to 1794619 relations and 1515106 ideals in 12 passes
Sun Dec 14 00:07:07 2014  max relations containing the same ideal: 111
Sun Dec 14 00:07:07 2014  removing 467644 relations and 340525 ideals in 127119 cliques
Sun Dec 14 00:07:07 2014  commencing in-memory singleton removal
Sun Dec 14 00:07:07 2014  begin with 1326975 relations and 1515106 unique ideals
Sun Dec 14 00:07:08 2014  reduce to 1241916 relations and 1081937 ideals in 9 passes
Sun Dec 14 00:07:08 2014  max relations containing the same ideal: 87
Sun Dec 14 00:07:08 2014  removing 388255 relations and 261136 ideals in 127119 cliques
Sun Dec 14 00:07:08 2014  commencing in-memory singleton removal
Sun Dec 14 00:07:08 2014  begin with 853661 relations and 1081937 unique ideals
Sun Dec 14 00:07:08 2014  reduce to 778365 relations and 737661 ideals in 8 passes
Sun Dec 14 00:07:08 2014  max relations containing the same ideal: 65
Sun Dec 14 00:07:08 2014  removing 73457 relations and 58028 ideals in 15429 cliques
Sun Dec 14 00:07:08 2014  commencing in-memory singleton removal
Sun Dec 14 00:07:08 2014  begin with 704908 relations and 737661 unique ideals
Sun Dec 14 00:07:08 2014  reduce to 700152 relations and 674791 ideals in 6 passes
Sun Dec 14 00:07:08 2014  max relations containing the same ideal: 61
Sun Dec 14 00:07:08 2014  relations with 0 large ideals: 481
Sun Dec 14 00:07:08 2014  relations with 1 large ideals: 151
Sun Dec 14 00:07:08 2014  relations with 2 large ideals: 2940
Sun Dec 14 00:07:08 2014  relations with 3 large ideals: 21208
Sun Dec 14 00:07:08 2014  relations with 4 large ideals: 80223
Sun Dec 14 00:07:08 2014  relations with 5 large ideals: 167195
Sun Dec 14 00:07:08 2014  relations with 6 large ideals: 210021
Sun Dec 14 00:07:08 2014  relations with 7+ large ideals: 217933
Sun Dec 14 00:07:08 2014  commencing 2-way merge
Sun Dec 14 00:07:08 2014  reduce to 439446 relation sets and 414085 unique ideals
Sun Dec 14 00:07:08 2014  commencing full merge
Sun Dec 14 00:07:13 2014  memory use: 55.2 MB
Sun Dec 14 00:07:13 2014  found 223524 cycles, need 220285
Sun Dec 14 00:07:13 2014  weight of 220285 cycles is about 15604663 (70.84/cycle)
Sun Dec 14 00:07:13 2014  distribution of cycle lengths:
Sun Dec 14 00:07:13 2014  1 relations: 15676
Sun Dec 14 00:07:13 2014  2 relations: 20043
Sun Dec 14 00:07:13 2014  3 relations: 21947
Sun Dec 14 00:07:13 2014  4 relations: 22335
Sun Dec 14 00:07:13 2014  5 relations: 21740
Sun Dec 14 00:07:13 2014  6 relations: 20469
Sun Dec 14 00:07:13 2014  7 relations: 18804
Sun Dec 14 00:07:13 2014  8 relations: 16472
Sun Dec 14 00:07:13 2014  9 relations: 14040
Sun Dec 14 00:07:13 2014  10+ relations: 48759
Sun Dec 14 00:07:13 2014  heaviest cycle: 21 relations
Sun Dec 14 00:07:13 2014  commencing cycle optimization
Sun Dec 14 00:07:13 2014  start with 1441314 relations
Sun Dec 14 00:07:14 2014  pruned 46823 relations
Sun Dec 14 00:07:14 2014  memory use: 43.7 MB
Sun Dec 14 00:07:14 2014  distribution of cycle lengths:
Sun Dec 14 00:07:14 2014  1 relations: 15676
Sun Dec 14 00:07:14 2014  2 relations: 20422
Sun Dec 14 00:07:14 2014  3 relations: 22783
Sun Dec 14 00:07:14 2014  4 relations: 23066
Sun Dec 14 00:07:14 2014  5 relations: 22706
Sun Dec 14 00:07:14 2014  6 relations: 21155
Sun Dec 14 00:07:14 2014  7 relations: 19472
Sun Dec 14 00:07:14 2014  8 relations: 16733
Sun Dec 14 00:07:14 2014  9 relations: 14074
Sun Dec 14 00:07:14 2014  10+ relations: 44198
Sun Dec 14 00:07:14 2014  heaviest cycle: 21 relations
Sun Dec 14 00:07:14 2014  RelProcTime: 44
Sun Dec 14 00:07:14 2014  
Sun Dec 14 00:07:14 2014  commencing linear algebra
Sun Dec 14 00:07:14 2014  read 220285 cycles
Sun Dec 14 00:07:14 2014  cycles contain 685433 unique relations
Sun Dec 14 00:07:18 2014  read 685433 relations
Sun Dec 14 00:07:19 2014  using 20 quadratic characters above 67093472
Sun Dec 14 00:07:21 2014  building initial matrix
Sun Dec 14 00:07:24 2014  memory use: 83.4 MB
Sun Dec 14 00:07:24 2014  read 220285 cycles
Sun Dec 14 00:07:24 2014  matrix is 220123 x 220285 (65.7 MB) with weight 19885055 (90.27/col)
Sun Dec 14 00:07:24 2014  sparse part has weight 14803727 (67.20/col)
Sun Dec 14 00:07:25 2014  filtering completed in 2 passes
Sun Dec 14 00:07:25 2014  matrix is 220070 x 220241 (65.7 MB) with weight 19883122 (90.28/col)
Sun Dec 14 00:07:25 2014  sparse part has weight 14802793 (67.21/col)
Sun Dec 14 00:07:25 2014  matrix starts at (0, 0)
Sun Dec 14 00:07:25 2014  matrix is 220070 x 220241 (65.7 MB) with weight 19883122 (90.28/col)
Sun Dec 14 00:07:25 2014  sparse part has weight 14802793 (67.21/col)
Sun Dec 14 00:07:25 2014  saving the first 48 matrix rows for later
Sun Dec 14 00:07:25 2014  matrix includes 64 packed rows
Sun Dec 14 00:07:25 2014  matrix is 220022 x 220241 (62.0 MB) with weight 15765382 (71.58/col)
Sun Dec 14 00:07:25 2014  sparse part has weight 14057943 (63.83/col)
Sun Dec 14 00:07:25 2014  using block size 65536 for processor cache size 8192 kB
Sun Dec 14 00:07:26 2014  commencing Lanczos iteration (8 threads)
Sun Dec 14 00:07:26 2014  memory use: 59.0 MB
Sun Dec 14 00:07:30 2014  linear algebra at 5.5%, ETA 0h 1m
Sun Dec 14 00:08:33 2014  lanczos halted after 3481 iterations (dim = 220015)
Sun Dec 14 00:08:34 2014  recovered 35 nontrivial dependencies
Sun Dec 14 00:08:34 2014  BLanczosTime: 80
Sun Dec 14 00:08:34 2014  
Sun Dec 14 00:08:34 2014  commencing square root phase
Sun Dec 14 00:08:34 2014  reading relations for dependency 1
Sun Dec 14 00:08:34 2014  read 109748 cycles
Sun Dec 14 00:08:34 2014  cycles contain 341646 unique relations
Sun Dec 14 00:08:37 2014  read 341646 relations
Sun Dec 14 00:08:38 2014  multiplying 341646 relations
Sun Dec 14 00:08:43 2014  multiply complete, coefficients have about 9.94 million bits
Sun Dec 14 00:08:43 2014  initial square root is modulo 516371
Sun Dec 14 00:08:50 2014  GCD is 1, no factor found
Sun Dec 14 00:08:50 2014  reading relations for dependency 2
Sun Dec 14 00:08:50 2014  read 109869 cycles
Sun Dec 14 00:08:50 2014  cycles contain 342642 unique relations
Sun Dec 14 00:08:53 2014  read 342642 relations
Sun Dec 14 00:08:54 2014  multiplying 342642 relations
Sun Dec 14 00:08:59 2014  multiply complete, coefficients have about 9.97 million bits
Sun Dec 14 00:08:59 2014  initial square root is modulo 535991
Sun Dec 14 00:09:06 2014  sqrtTime: 32
--
n: 3007320083616771822909203262764157399694569101242985535255486557014645155679023076450893792115863723184715226553835079268306691561
m: 10000000000000000000000000000
deg: 5
c5: 1180
c0: -1
skew: 0.24
# Murphy_E = 2.819e-09
type: snfs
lss: 1
rlim: 1700000
alim: 1700000
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 10, 2014 17:30:22 UTC 2014 年 12 月 11 日 (木) 2 時 30 分 22 秒 (日本時間)
403e6410 / 2126110Ignacio SantosDecember 10, 2014 17:30:22 UTC 2014 年 12 月 11 日 (木) 2 時 30 分 22 秒 (日本時間)
300Serge BatalovDecember 10, 2014 19:47:53 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 53 秒 (日本時間)
4511e632 / 4371Ignacio SantosDecember 10, 2014 17:30:22 UTC 2014 年 12 月 11 日 (木) 2 時 30 分 22 秒 (日本時間)

118×10142-19

c136

name 名前Dmitry Domanov
date 日付December 14, 2014 09:50:37 UTC 2014 年 12 月 14 日 (日) 18 時 50 分 37 秒 (日本時間)
composite number 合成数
7619692470115937430779049045978018620759078542324159759560733252821596336808306999062706795144238615241517162650207304388304229239920243<136>
prime factors 素因数
153477650672162761237844559555834956419<39>
49646918862421514541450010055916357447756196950680497621550959663061238423760223609842522537820497<98>
factorization results 素因数分解の結果
N=7619692470115937430779049045978018620759078542324159759560733252821596336808306999062706795144238615241517162650207304388304229239920243
  ( 136 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=153477650672162761237844559555834956419 (pp39)
 r2=49646918862421514541450010055916357447756196950680497621550959663061238423760223609842522537820497 (pp98)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 6.22 hours.
Scaled time: 12.97 units (timescale=2.086).
Factorization parameters were as follows:
n: 7619692470115937430779049045978018620759078542324159759560733252821596336808306999062706795144238615241517162650207304388304229239920243
m: 10000000000000000000000000000
deg: 5
c5: 11800
c0: -1
skew: 0.15
# Murphy_E = 2.067e-09
type: snfs
lss: 1
rlim: 1760000
alim: 1760000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1760000/1760000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [880000, 2080001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 281108 x 281333
Total sieving time: 6.05 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,144.000,5,0,0,0,0,0,0,0,0,1760000,1760000,26,26,49,49,2.3,2.3,100000
total time: 6.22 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosDecember 10, 2014 18:06:26 UTC 2014 年 12 月 11 日 (木) 3 時 6 分 26 秒 (日本時間)
403e6410 / 2126110Ignacio SantosDecember 10, 2014 18:06:26 UTC 2014 年 12 月 11 日 (木) 3 時 6 分 26 秒 (日本時間)
300Serge BatalovDecember 10, 2014 19:47:53 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 53 秒 (日本時間)
4511e632 / 4371Ignacio SantosDecember 10, 2014 18:06:26 UTC 2014 年 12 月 11 日 (木) 3 時 6 分 26 秒 (日本時間)

118×10143-19

c118

name 名前Cyp
date 日付December 14, 2014 05:27:55 UTC 2014 年 12 月 14 日 (日) 14 時 27 分 55 秒 (日本時間)
composite number 合成数
1744281095691065941476911213666921999745771329537156000359162592868654720248079061358499439100609399317739926992915653<118>
prime factors 素因数
266843777864875749453478120449851936660794849013743021<54>
6536712640061385797060564783267841685817301402392454271380700793<64>
factorization results 素因数分解の結果
12/14/14 05:33:02 v1.34.3, 
12/14/14 05:33:02 v1.34.3, ****************************
12/14/14 05:33:02 v1.34.3, Starting factorization of 1744281095691065941476911213666921999745771329537156000359162592868654720248079061358499439100609399317739926992915653
12/14/14 05:33:02 v1.34.3, using pretesting plan: none
12/14/14 05:33:02 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/14/14 05:33:02 v1.34.3, ****************************
12/14/14 05:33:02 v1.34.3, nfs: commencing nfs on c118: 1744281095691065941476911213666921999745771329537156000359162592868654720248079061358499439100609399317739926992915653
12/14/14 05:33:02 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/14/14 05:33:02 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/14/14 05:33:45 v1.34.3, nfs: commencing lattice sieving with 8 threads
[63 lines snipped]
12/14/14 06:22:59 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/14/14 06:23:46 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/14/14 06:24:32 v1.34.3, nfs: commencing msieve filtering
12/14/14 06:25:19 v1.34.3, nfs: commencing msieve linear algebra
12/14/14 06:27:30 v1.34.3, nfs: commencing msieve sqrt
12/14/14 06:27:54 v1.34.3, prp54 = 266843777864875749453478120449851936660794849013743021
12/14/14 06:27:54 v1.34.3, prp64 = 6536712640061385797060564783267841685817301402392454271380700793
12/14/14 06:27:54 v1.34.3, NFS elapsed time = 3292.2488 seconds.
12/14/14 06:27:54 v1.34.3, 
12/14/14 06:27:54 v1.34.3, 
12/14/14 06:27:54 v1.34.3, Total factoring time = 3292.2493 seconds
--
Sun Dec 14 06:24:32 2014  
Sun Dec 14 06:24:32 2014  commencing relation filtering
Sun Dec 14 06:24:32 2014  estimated available RAM is 15987.3 MB
Sun Dec 14 06:24:32 2014  commencing duplicate removal, pass 1
Sun Dec 14 06:24:44 2014  found 666524 hash collisions in 4499080 relations
Sun Dec 14 06:24:48 2014  added 182645 free relations
Sun Dec 14 06:24:48 2014  commencing duplicate removal, pass 2
Sun Dec 14 06:24:51 2014  found 517697 duplicates and 4164028 unique relations
Sun Dec 14 06:24:51 2014  memory use: 20.6 MB
Sun Dec 14 06:24:51 2014  reading ideals above 100000
Sun Dec 14 06:24:51 2014  commencing singleton removal, initial pass
Sun Dec 14 06:25:08 2014  memory use: 94.1 MB
Sun Dec 14 06:25:08 2014  reading all ideals from disk
Sun Dec 14 06:25:08 2014  memory use: 134.4 MB
Sun Dec 14 06:25:08 2014  keeping 4673605 ideals with weight <= 200, target excess is 21681
Sun Dec 14 06:25:08 2014  commencing in-memory singleton removal
Sun Dec 14 06:25:08 2014  begin with 4164028 relations and 4673605 unique ideals
Sun Dec 14 06:25:09 2014  reduce to 1630515 relations and 1477654 ideals in 14 passes
Sun Dec 14 06:25:09 2014  max relations containing the same ideal: 109
Sun Dec 14 06:25:10 2014  removing 324876 relations and 261020 ideals in 63856 cliques
Sun Dec 14 06:25:10 2014  commencing in-memory singleton removal
Sun Dec 14 06:25:10 2014  begin with 1305639 relations and 1477654 unique ideals
Sun Dec 14 06:25:10 2014  reduce to 1255219 relations and 1163691 ideals in 8 passes
Sun Dec 14 06:25:10 2014  max relations containing the same ideal: 90
Sun Dec 14 06:25:10 2014  removing 258214 relations and 194358 ideals in 63856 cliques
Sun Dec 14 06:25:10 2014  commencing in-memory singleton removal
Sun Dec 14 06:25:10 2014  begin with 997005 relations and 1163691 unique ideals
Sun Dec 14 06:25:10 2014  reduce to 957982 relations and 928325 ideals in 8 passes
Sun Dec 14 06:25:10 2014  max relations containing the same ideal: 75
Sun Dec 14 06:25:11 2014  relations with 0 large ideals: 469
Sun Dec 14 06:25:11 2014  relations with 1 large ideals: 148
Sun Dec 14 06:25:11 2014  relations with 2 large ideals: 2329
Sun Dec 14 06:25:11 2014  relations with 3 large ideals: 19250
Sun Dec 14 06:25:11 2014  relations with 4 large ideals: 82294
Sun Dec 14 06:25:11 2014  relations with 5 large ideals: 196829
Sun Dec 14 06:25:11 2014  relations with 6 large ideals: 288222
Sun Dec 14 06:25:11 2014  relations with 7+ large ideals: 368441
Sun Dec 14 06:25:11 2014  commencing 2-way merge
Sun Dec 14 06:25:11 2014  reduce to 585295 relation sets and 555638 unique ideals
Sun Dec 14 06:25:11 2014  commencing full merge
Sun Dec 14 06:25:17 2014  memory use: 73.9 MB
Sun Dec 14 06:25:17 2014  found 295003 cycles, need 287838
Sun Dec 14 06:25:17 2014  weight of 287838 cycles is about 20236325 (70.30/cycle)
Sun Dec 14 06:25:17 2014  distribution of cycle lengths:
Sun Dec 14 06:25:17 2014  1 relations: 25550
Sun Dec 14 06:25:17 2014  2 relations: 29182
Sun Dec 14 06:25:17 2014  3 relations: 30090
Sun Dec 14 06:25:17 2014  4 relations: 28861
Sun Dec 14 06:25:17 2014  5 relations: 27345
Sun Dec 14 06:25:17 2014  6 relations: 24843
Sun Dec 14 06:25:17 2014  7 relations: 22114
Sun Dec 14 06:25:17 2014  8 relations: 19668
Sun Dec 14 06:25:17 2014  9 relations: 16740
Sun Dec 14 06:25:17 2014  10+ relations: 63445
Sun Dec 14 06:25:17 2014  heaviest cycle: 21 relations
Sun Dec 14 06:25:17 2014  commencing cycle optimization
Sun Dec 14 06:25:17 2014  start with 1836143 relations
Sun Dec 14 06:25:19 2014  pruned 53109 relations
Sun Dec 14 06:25:19 2014  memory use: 57.2 MB
Sun Dec 14 06:25:19 2014  distribution of cycle lengths:
Sun Dec 14 06:25:19 2014  1 relations: 25550
Sun Dec 14 06:25:19 2014  2 relations: 29771
Sun Dec 14 06:25:19 2014  3 relations: 31161
Sun Dec 14 06:25:19 2014  4 relations: 29639
Sun Dec 14 06:25:19 2014  5 relations: 28276
Sun Dec 14 06:25:19 2014  6 relations: 25530
Sun Dec 14 06:25:19 2014  7 relations: 22765
Sun Dec 14 06:25:19 2014  8 relations: 20014
Sun Dec 14 06:25:19 2014  9 relations: 16726
Sun Dec 14 06:25:19 2014  10+ relations: 58406
Sun Dec 14 06:25:19 2014  heaviest cycle: 21 relations
Sun Dec 14 06:25:19 2014  RelProcTime: 47
Sun Dec 14 06:25:19 2014  
Sun Dec 14 06:25:19 2014  commencing linear algebra
Sun Dec 14 06:25:19 2014  read 287838 cycles
Sun Dec 14 06:25:19 2014  cycles contain 915359 unique relations
Sun Dec 14 06:25:24 2014  read 915359 relations
Sun Dec 14 06:25:24 2014  using 20 quadratic characters above 67107318
Sun Dec 14 06:25:27 2014  building initial matrix
Sun Dec 14 06:25:31 2014  memory use: 108.1 MB
Sun Dec 14 06:25:32 2014  read 287838 cycles
Sun Dec 14 06:25:32 2014  matrix is 287670 x 287838 (85.6 MB) with weight 25317697 (87.96/col)
Sun Dec 14 06:25:32 2014  sparse part has weight 19260788 (66.92/col)
Sun Dec 14 06:25:33 2014  filtering completed in 2 passes
Sun Dec 14 06:25:33 2014  matrix is 287462 x 287638 (85.5 MB) with weight 25308774 (87.99/col)
Sun Dec 14 06:25:33 2014  sparse part has weight 19256218 (66.95/col)
Sun Dec 14 06:25:33 2014  matrix starts at (0, 0)
Sun Dec 14 06:25:33 2014  matrix is 287462 x 287638 (85.5 MB) with weight 25308774 (87.99/col)
Sun Dec 14 06:25:33 2014  sparse part has weight 19256218 (66.95/col)
Sun Dec 14 06:25:33 2014  saving the first 48 matrix rows for later
Sun Dec 14 06:25:33 2014  matrix includes 64 packed rows
Sun Dec 14 06:25:33 2014  matrix is 287414 x 287638 (80.1 MB) with weight 20001993 (69.54/col)
Sun Dec 14 06:25:33 2014  sparse part has weight 18115374 (62.98/col)
Sun Dec 14 06:25:33 2014  using block size 65536 for processor cache size 8192 kB
Sun Dec 14 06:25:34 2014  commencing Lanczos iteration (8 threads)
Sun Dec 14 06:25:34 2014  memory use: 76.7 MB
Sun Dec 14 06:25:39 2014  linear algebra at 4.2%, ETA 0h 1m
Sun Dec 14 06:27:30 2014  lanczos halted after 4546 iterations (dim = 287411)
Sun Dec 14 06:27:30 2014  recovered 37 nontrivial dependencies
Sun Dec 14 06:27:30 2014  BLanczosTime: 131
Sun Dec 14 06:27:30 2014  
Sun Dec 14 06:27:30 2014  commencing square root phase
Sun Dec 14 06:27:30 2014  reading relations for dependency 1
Sun Dec 14 06:27:30 2014  read 144015 cycles
Sun Dec 14 06:27:30 2014  cycles contain 458114 unique relations
Sun Dec 14 06:27:34 2014  read 458114 relations
Sun Dec 14 06:27:35 2014  multiplying 458114 relations
Sun Dec 14 06:27:43 2014  multiply complete, coefficients have about 16.14 million bits
Sun Dec 14 06:27:43 2014  initial square root is modulo 1874565391
Sun Dec 14 06:27:54 2014  sqrtTime: 24
--
n: 1744281095691065941476911213666921999745771329537156000359162592868654720248079061358499439100609399317739926992915653
m: 10000000000000000000000000000
deg: 5
c5: 118000
c0: -1
skew: 0.10
# Murphy_E = 1.826e-09
type: snfs
lss: 1
rlim: 1830000
alim: 1830000
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 19:47:54 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 54 秒 (日本時間)

118×10145-19

c119

name 名前Cyp
date 日付December 14, 2014 12:31:38 UTC 2014 年 12 月 14 日 (日) 21 時 31 分 38 秒 (日本時間)
composite number 合成数
11770786143357286693219946009462269781284646995813583158723736575848718881715677555326011325840784154618073763508539337<119>
prime factors 素因数
1813194603040322785380483387164061120637<40>
6491739013352623405221120216582778079979017450421936604620637344745224283415101<79>
factorization results 素因数分解の結果
12/14/14 12:47:34 v1.34.3, 
12/14/14 12:47:34 v1.34.3, ****************************
12/14/14 12:47:34 v1.34.3, Starting factorization of 11770786143357286693219946009462269781284646995813583158723736575848718881715677555326011325840784154618073763508539337
12/14/14 12:47:34 v1.34.3, using pretesting plan: none
12/14/14 12:47:34 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/14/14 12:47:34 v1.34.3, ****************************
12/14/14 12:47:34 v1.34.3, nfs: commencing nfs on c119: 11770786143357286693219946009462269781284646995813583158723736575848718881715677555326011325840784154618073763508539337
12/14/14 12:47:34 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/14/14 12:47:34 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/14/14 12:48:22 v1.34.3, nfs: commencing lattice sieving with 8 threads
[45 lines snipped]
12/14/14 13:26:41 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/14/14 13:27:33 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/14/14 13:28:25 v1.34.3, nfs: commencing msieve filtering
12/14/14 13:29:11 v1.34.3, nfs: commencing msieve linear algebra
12/14/14 13:31:00 v1.34.3, nfs: commencing msieve sqrt
12/14/14 13:31:37 v1.34.3, prp40 = 1813194603040322785380483387164061120637
12/14/14 13:31:37 v1.34.3, prp79 = 6491739013352623405221120216582778079979017450421936604620637344745224283415101
12/14/14 13:31:37 v1.34.3, NFS elapsed time = 2643.1420 seconds.
12/14/14 13:31:37 v1.34.3, 
12/14/14 13:31:37 v1.34.3, 
12/14/14 13:31:37 v1.34.3, Total factoring time = 2643.1426 seconds
--
Sun Dec 14 13:28:25 2014  
Sun Dec 14 13:28:25 2014  commencing relation filtering
Sun Dec 14 13:28:25 2014  estimated available RAM is 15987.3 MB
Sun Dec 14 13:28:25 2014  commencing duplicate removal, pass 1
Sun Dec 14 13:28:36 2014  found 589632 hash collisions in 4488157 relations
Sun Dec 14 13:28:40 2014  added 183670 free relations
Sun Dec 14 13:28:40 2014  commencing duplicate removal, pass 2
Sun Dec 14 13:28:43 2014  found 414984 duplicates and 4256843 unique relations
Sun Dec 14 13:28:43 2014  memory use: 20.6 MB
Sun Dec 14 13:28:43 2014  reading ideals above 100000
Sun Dec 14 13:28:43 2014  commencing singleton removal, initial pass
Sun Dec 14 13:29:00 2014  memory use: 94.1 MB
Sun Dec 14 13:29:00 2014  reading all ideals from disk
Sun Dec 14 13:29:00 2014  memory use: 136.5 MB
Sun Dec 14 13:29:00 2014  keeping 4719242 ideals with weight <= 200, target excess is 21704
Sun Dec 14 13:29:00 2014  commencing in-memory singleton removal
Sun Dec 14 13:29:00 2014  begin with 4256843 relations and 4719242 unique ideals
Sun Dec 14 13:29:01 2014  reduce to 1716199 relations and 1523549 ideals in 13 passes
Sun Dec 14 13:29:01 2014  max relations containing the same ideal: 116
Sun Dec 14 13:29:02 2014  removing 383201 relations and 299464 ideals in 83737 cliques
Sun Dec 14 13:29:02 2014  commencing in-memory singleton removal
Sun Dec 14 13:29:02 2014  begin with 1332998 relations and 1523549 unique ideals
Sun Dec 14 13:29:02 2014  reduce to 1266799 relations and 1153746 ideals in 9 passes
Sun Dec 14 13:29:02 2014  max relations containing the same ideal: 92
Sun Dec 14 13:29:02 2014  removing 309326 relations and 225589 ideals in 83737 cliques
Sun Dec 14 13:29:02 2014  commencing in-memory singleton removal
Sun Dec 14 13:29:02 2014  begin with 957473 relations and 1153746 unique ideals
Sun Dec 14 13:29:02 2014  reduce to 901888 relations and 868810 ideals in 8 passes
Sun Dec 14 13:29:02 2014  max relations containing the same ideal: 75
Sun Dec 14 13:29:03 2014  relations with 0 large ideals: 507
Sun Dec 14 13:29:03 2014  relations with 1 large ideals: 156
Sun Dec 14 13:29:03 2014  relations with 2 large ideals: 2563
Sun Dec 14 13:29:03 2014  relations with 3 large ideals: 20504
Sun Dec 14 13:29:03 2014  relations with 4 large ideals: 84268
Sun Dec 14 13:29:03 2014  relations with 5 large ideals: 195054
Sun Dec 14 13:29:03 2014  relations with 6 large ideals: 272783
Sun Dec 14 13:29:03 2014  relations with 7+ large ideals: 326053
Sun Dec 14 13:29:03 2014  commencing 2-way merge
Sun Dec 14 13:29:03 2014  reduce to 549494 relation sets and 516416 unique ideals
Sun Dec 14 13:29:03 2014  commencing full merge
Sun Dec 14 13:29:09 2014  memory use: 68.7 MB
Sun Dec 14 13:29:09 2014  found 270877 cycles, need 260616
Sun Dec 14 13:29:09 2014  weight of 260616 cycles is about 18495320 (70.97/cycle)
Sun Dec 14 13:29:09 2014  distribution of cycle lengths:
Sun Dec 14 13:29:09 2014  1 relations: 22820
Sun Dec 14 13:29:09 2014  2 relations: 24776
Sun Dec 14 13:29:09 2014  3 relations: 25862
Sun Dec 14 13:29:09 2014  4 relations: 25316
Sun Dec 14 13:29:09 2014  5 relations: 24297
Sun Dec 14 13:29:09 2014  6 relations: 22240
Sun Dec 14 13:29:09 2014  7 relations: 20625
Sun Dec 14 13:29:09 2014  8 relations: 18286
Sun Dec 14 13:29:09 2014  9 relations: 15969
Sun Dec 14 13:29:09 2014  10+ relations: 60425
Sun Dec 14 13:29:09 2014  heaviest cycle: 21 relations
Sun Dec 14 13:29:09 2014  commencing cycle optimization
Sun Dec 14 13:29:09 2014  start with 1696746 relations
Sun Dec 14 13:29:11 2014  pruned 51034 relations
Sun Dec 14 13:29:11 2014  memory use: 52.7 MB
Sun Dec 14 13:29:11 2014  distribution of cycle lengths:
Sun Dec 14 13:29:11 2014  1 relations: 22820
Sun Dec 14 13:29:11 2014  2 relations: 25327
Sun Dec 14 13:29:11 2014  3 relations: 26802
Sun Dec 14 13:29:11 2014  4 relations: 26031
Sun Dec 14 13:29:11 2014  5 relations: 25315
Sun Dec 14 13:29:11 2014  6 relations: 22988
Sun Dec 14 13:29:11 2014  7 relations: 21203
Sun Dec 14 13:29:11 2014  8 relations: 18618
Sun Dec 14 13:29:11 2014  9 relations: 16089
Sun Dec 14 13:29:11 2014  10+ relations: 55423
Sun Dec 14 13:29:11 2014  heaviest cycle: 20 relations
Sun Dec 14 13:29:11 2014  RelProcTime: 46
Sun Dec 14 13:29:11 2014  
Sun Dec 14 13:29:11 2014  commencing linear algebra
Sun Dec 14 13:29:11 2014  read 260616 cycles
Sun Dec 14 13:29:11 2014  cycles contain 842744 unique relations
Sun Dec 14 13:29:15 2014  read 842744 relations
Sun Dec 14 13:29:16 2014  using 20 quadratic characters above 67108388
Sun Dec 14 13:29:18 2014  building initial matrix
Sun Dec 14 13:29:22 2014  memory use: 100.7 MB
Sun Dec 14 13:29:22 2014  read 260616 cycles
Sun Dec 14 13:29:22 2014  matrix is 260447 x 260616 (77.9 MB) with weight 23473278 (90.07/col)
Sun Dec 14 13:29:22 2014  sparse part has weight 17566369 (67.40/col)
Sun Dec 14 13:29:23 2014  filtering completed in 2 passes
Sun Dec 14 13:29:23 2014  matrix is 260156 x 260334 (77.9 MB) with weight 23460970 (90.12/col)
Sun Dec 14 13:29:23 2014  sparse part has weight 17560684 (67.45/col)
Sun Dec 14 13:29:24 2014  matrix starts at (0, 0)
Sun Dec 14 13:29:24 2014  matrix is 260156 x 260334 (77.9 MB) with weight 23460970 (90.12/col)
Sun Dec 14 13:29:24 2014  sparse part has weight 17560684 (67.45/col)
Sun Dec 14 13:29:24 2014  saving the first 48 matrix rows for later
Sun Dec 14 13:29:24 2014  matrix includes 64 packed rows
Sun Dec 14 13:29:24 2014  matrix is 260108 x 260334 (73.3 MB) with weight 18497574 (71.05/col)
Sun Dec 14 13:29:24 2014  sparse part has weight 16616107 (63.83/col)
Sun Dec 14 13:29:24 2014  using block size 65536 for processor cache size 8192 kB
Sun Dec 14 13:29:24 2014  commencing Lanczos iteration (8 threads)
Sun Dec 14 13:29:24 2014  memory use: 70.0 MB
Sun Dec 14 13:29:29 2014  linear algebra at 4.7%, ETA 0h 1m
Sun Dec 14 13:31:00 2014  lanczos halted after 4115 iterations (dim = 260104)
Sun Dec 14 13:31:00 2014  recovered 34 nontrivial dependencies
Sun Dec 14 13:31:00 2014  BLanczosTime: 109
Sun Dec 14 13:31:00 2014  
Sun Dec 14 13:31:00 2014  commencing square root phase
Sun Dec 14 13:31:00 2014  reading relations for dependency 1
Sun Dec 14 13:31:00 2014  read 129977 cycles
Sun Dec 14 13:31:00 2014  cycles contain 421076 unique relations
Sun Dec 14 13:31:04 2014  read 421076 relations
Sun Dec 14 13:31:04 2014  multiplying 421076 relations
Sun Dec 14 13:31:10 2014  multiply complete, coefficients have about 11.04 million bits
Sun Dec 14 13:31:10 2014  initial square root is modulo 2217491
Sun Dec 14 13:31:19 2014  GCD is N, no factor found
Sun Dec 14 13:31:19 2014  reading relations for dependency 2
Sun Dec 14 13:31:19 2014  read 129935 cycles
Sun Dec 14 13:31:19 2014  cycles contain 421182 unique relations
Sun Dec 14 13:31:22 2014  read 421182 relations
Sun Dec 14 13:31:23 2014  multiplying 421182 relations
Sun Dec 14 13:31:29 2014  multiply complete, coefficients have about 11.05 million bits
Sun Dec 14 13:31:29 2014  initial square root is modulo 2228321
Sun Dec 14 13:31:37 2014  sqrtTime: 37
--
n: 11770786143357286693219946009462269781284646995813583158723736575848718881715677555326011325840784154618073763508539337
m: 100000000000000000000000000000
deg: 5
c5: 118
c0: -1
skew: 0.39
# Murphy_E = 2.349e-09
type: snfs
lss: 1
rlim: 1980000
alim: 1980000
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 19:47:54 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 54 秒 (日本時間)

118×10149-19

c132

name 名前KTakahashi
date 日付December 6, 2014 19:05:46 UTC 2014 年 12 月 7 日 (日) 4 時 5 分 46 秒 (日本時間)
composite number 合成数
190236275049614078188025302007187105594153736164170432966464987441844519151987759203485063001373763151708998333419269577784993114403<132>
prime factors 素因数
2815995320726810251296052360721<31>
5561271931375891625761812964875994725067<40>
12147510226101360307807656474186670075288894940191485542865529<62>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0] [P-1]
Input number is 190236275049614078188025302007187105594153736164170432966464987441844519151987759203485063001373763151708998333419269577784993114403 (132 digits)
Using B1=4000000, B2=30297214018, polynomial x^1, x0=2270268000
Step 1 took 1092ms
Step 2 took 4368ms
********** Factor found in step 2: 2815995320726810251296052360721
Found probable prime factor of 31 digits: 2815995320726810251296052360721
Composite cofactor 67555607656519106008575728618804816864870721365440658524221889892749039894999450487374750319706515443 has 101 digits

Number: 13111_149
N=67555607656519106008575728618804816864870721365440658524221889892749039894999450487374750319706515443
  ( 101 digits)
Divisors found:
 r1=5561271931375891625761812964875994725067 (pp40)
 r2=12147510226101360307807656474186670075288894940191485542865529 (pp62)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 6.61 hours.
Scaled time: 13.08 units (timescale=1.979).
Factorization parameters were as follows:
name: 13111_149
n: 67555607656519106008575728618804816864870721365440658524221889892749039894999450487374750319706515443
skew: 5774.42
# norm 1.69e+014
c5: 129120
c4: -1700493116
c3: -8768458785592
c2: -14013037668486237
c1: 67135166117151957688
c0: 272531628431648426223929
# alpha -6.17
Y1: 16773208199
Y0: -13923068364083448114
# Murphy_E 2.92e-009
# M 49539692995970572789391903751813482619775076767542615838251084051484065967802726407573870233976817893
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 221848 x 222073
Polynomial selection time: 0.43 hours.
Total sieving time: 5.92 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.16 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
gnfs,100,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 6.61 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaDecember 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 19:02:54 UTC 2014 年 12 月 7 日 (日) 4 時 2 分 54 秒 (日本時間)

118×10151-19

c149

name 名前Cyp
date 日付December 16, 2014 07:48:22 UTC 2014 年 12 月 16 日 (火) 16 時 48 分 22 秒 (日本時間)
composite number 合成数
30092061306199474664014484992221967204753525616504730574044322036059470073700048453319052355086323413153801035370922908219213016091602274755820773723<149>
prime factors 素因数
20165912092977671919258927852292430748488701399849132681729<59>
1492224163601226959172937223893591715951876302011632198978915983135106629081558911487357787<91>
factorization results 素因数分解の結果
12/16/14 05:55:25 v1.34.3, 
12/16/14 05:55:25 v1.34.3, ****************************
12/16/14 05:55:25 v1.34.3, Starting factorization of 30092061306199474664014484992221967204753525616504730574044322036059470073700048453319052355086323413153801035370922908219213016091602274755820773723
12/16/14 05:55:25 v1.34.3, using pretesting plan: none
12/16/14 05:55:25 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/16/14 05:55:25 v1.34.3, ****************************
12/16/14 05:55:25 v1.34.3, nfs: commencing nfs on c149: 30092061306199474664014484992221967204753525616504730574044322036059470073700048453319052355086323413153801035370922908219213016091602274755820773723
12/16/14 05:55:25 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/16/14 05:55:25 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/16/14 06:00:18 v1.34.3, nfs: commencing lattice sieving with 8 threads
[20 lines snipped]
12/16/14 08:20:57 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/16/14 08:29:30 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/16/14 08:37:52 v1.34.3, nfs: commencing msieve filtering
12/16/14 08:40:59 v1.34.3, nfs: commencing msieve linear algebra
12/16/14 08:47:27 v1.34.3, nfs: commencing msieve sqrt
12/16/14 08:48:21 v1.34.3, prp91 = 1492224163601226959172937223893591715951876302011632198978915983135106629081558911487357787
12/16/14 08:48:21 v1.34.3, prp59 = 20165912092977671919258927852292430748488701399849132681729
12/16/14 08:48:21 v1.34.3, NFS elapsed time = 10375.4904 seconds.
12/16/14 08:48:21 v1.34.3, 
12/16/14 08:48:21 v1.34.3, 
12/16/14 08:48:21 v1.34.3, Total factoring time = 10375.4919 seconds
--
Tue Dec 16 08:37:52 2014  
Tue Dec 16 08:37:52 2014  commencing relation filtering
Tue Dec 16 08:37:52 2014  estimated available RAM is 15987.3 MB
Tue Dec 16 08:37:52 2014  commencing duplicate removal, pass 1
Tue Dec 16 08:38:45 2014  found 1210870 hash collisions in 10167806 relations
Tue Dec 16 08:39:01 2014  added 360095 free relations
Tue Dec 16 08:39:01 2014  commencing duplicate removal, pass 2
Tue Dec 16 08:39:14 2014  found 696359 duplicates and 9831542 unique relations
Tue Dec 16 08:39:14 2014  memory use: 41.3 MB
Tue Dec 16 08:39:14 2014  reading ideals above 100000
Tue Dec 16 08:39:14 2014  commencing singleton removal, initial pass
Tue Dec 16 08:40:23 2014  memory use: 188.2 MB
Tue Dec 16 08:40:23 2014  reading all ideals from disk
Tue Dec 16 08:40:23 2014  memory use: 334.1 MB
Tue Dec 16 08:40:24 2014  keeping 9708123 ideals with weight <= 200, target excess is 55411
Tue Dec 16 08:40:25 2014  commencing in-memory singleton removal
Tue Dec 16 08:40:26 2014  begin with 9831542 relations and 9708123 unique ideals
Tue Dec 16 08:40:32 2014  reduce to 4972834 relations and 3770457 ideals in 11 passes
Tue Dec 16 08:40:32 2014  max relations containing the same ideal: 132
Tue Dec 16 08:40:35 2014  removing 1261451 relations and 861451 ideals in 400000 cliques
Tue Dec 16 08:40:35 2014  commencing in-memory singleton removal
Tue Dec 16 08:40:35 2014  begin with 3711383 relations and 3770457 unique ideals
Tue Dec 16 08:40:38 2014  reduce to 3510240 relations and 2688706 ideals in 7 passes
Tue Dec 16 08:40:38 2014  max relations containing the same ideal: 102
Tue Dec 16 08:40:39 2014  removing 1069768 relations and 669768 ideals in 400000 cliques
Tue Dec 16 08:40:40 2014  commencing in-memory singleton removal
Tue Dec 16 08:40:40 2014  begin with 2440472 relations and 2688706 unique ideals
Tue Dec 16 08:40:42 2014  reduce to 2277826 relations and 1838783 ideals in 8 passes
Tue Dec 16 08:40:42 2014  max relations containing the same ideal: 77
Tue Dec 16 08:40:43 2014  removing 957229 relations and 582463 ideals in 374766 cliques
Tue Dec 16 08:40:43 2014  commencing in-memory singleton removal
Tue Dec 16 08:40:43 2014  begin with 1320597 relations and 1838783 unique ideals
Tue Dec 16 08:40:44 2014  reduce to 1135118 relations and 1044702 ideals in 9 passes
Tue Dec 16 08:40:44 2014  max relations containing the same ideal: 49
Tue Dec 16 08:40:44 2014  removing 122804 relations and 96665 ideals in 26139 cliques
Tue Dec 16 08:40:45 2014  commencing in-memory singleton removal
Tue Dec 16 08:40:45 2014  begin with 1012314 relations and 1044702 unique ideals
Tue Dec 16 08:40:45 2014  reduce to 998710 relations and 934061 ideals in 7 passes
Tue Dec 16 08:40:45 2014  max relations containing the same ideal: 46
Tue Dec 16 08:40:46 2014  relations with 0 large ideals: 1225
Tue Dec 16 08:40:46 2014  relations with 1 large ideals: 1732
Tue Dec 16 08:40:46 2014  relations with 2 large ideals: 16353
Tue Dec 16 08:40:46 2014  relations with 3 large ideals: 77194
Tue Dec 16 08:40:46 2014  relations with 4 large ideals: 194578
Tue Dec 16 08:40:46 2014  relations with 5 large ideals: 280996
Tue Dec 16 08:40:46 2014  relations with 6 large ideals: 254774
Tue Dec 16 08:40:46 2014  relations with 7+ large ideals: 171858
Tue Dec 16 08:40:46 2014  commencing 2-way merge
Tue Dec 16 08:40:46 2014  reduce to 637882 relation sets and 573233 unique ideals
Tue Dec 16 08:40:46 2014  commencing full merge
Tue Dec 16 08:40:55 2014  memory use: 70.4 MB
Tue Dec 16 08:40:55 2014  found 318016 cycles, need 309433
Tue Dec 16 08:40:55 2014  weight of 309433 cycles is about 22000440 (71.10/cycle)
Tue Dec 16 08:40:55 2014  distribution of cycle lengths:
Tue Dec 16 08:40:55 2014  1 relations: 26045
Tue Dec 16 08:40:55 2014  2 relations: 29519
Tue Dec 16 08:40:55 2014  3 relations: 33222
Tue Dec 16 08:40:55 2014  4 relations: 33317
Tue Dec 16 08:40:55 2014  5 relations: 32470
Tue Dec 16 08:40:55 2014  6 relations: 29062
Tue Dec 16 08:40:55 2014  7 relations: 25474
Tue Dec 16 08:40:55 2014  8 relations: 21202
Tue Dec 16 08:40:55 2014  9 relations: 17966
Tue Dec 16 08:40:55 2014  10+ relations: 61156
Tue Dec 16 08:40:55 2014  heaviest cycle: 20 relations
Tue Dec 16 08:40:55 2014  commencing cycle optimization
Tue Dec 16 08:40:56 2014  start with 1920548 relations
Tue Dec 16 08:40:59 2014  pruned 65431 relations
Tue Dec 16 08:40:59 2014  memory use: 59.8 MB
Tue Dec 16 08:40:59 2014  distribution of cycle lengths:
Tue Dec 16 08:40:59 2014  1 relations: 26045
Tue Dec 16 08:40:59 2014  2 relations: 30234
Tue Dec 16 08:40:59 2014  3 relations: 34589
Tue Dec 16 08:40:59 2014  4 relations: 34703
Tue Dec 16 08:40:59 2014  5 relations: 33897
Tue Dec 16 08:40:59 2014  6 relations: 29904
Tue Dec 16 08:40:59 2014  7 relations: 26129
Tue Dec 16 08:40:59 2014  8 relations: 21377
Tue Dec 16 08:40:59 2014  9 relations: 17970
Tue Dec 16 08:40:59 2014  10+ relations: 54585
Tue Dec 16 08:40:59 2014  heaviest cycle: 20 relations
Tue Dec 16 08:40:59 2014  RelProcTime: 187
Tue Dec 16 08:40:59 2014  
Tue Dec 16 08:40:59 2014  commencing linear algebra
Tue Dec 16 08:40:59 2014  read 309433 cycles
Tue Dec 16 08:41:00 2014  cycles contain 957238 unique relations
Tue Dec 16 08:41:14 2014  read 957238 relations
Tue Dec 16 08:41:15 2014  using 20 quadratic characters above 134200950
Tue Dec 16 08:41:19 2014  building initial matrix
Tue Dec 16 08:41:29 2014  memory use: 115.5 MB
Tue Dec 16 08:41:29 2014  read 309433 cycles
Tue Dec 16 08:41:29 2014  matrix is 309255 x 309433 (92.6 MB) with weight 27829913 (89.94/col)
Tue Dec 16 08:41:29 2014  sparse part has weight 20859677 (67.41/col)
Tue Dec 16 08:41:32 2014  filtering completed in 2 passes
Tue Dec 16 08:41:32 2014  matrix is 309014 x 309192 (92.5 MB) with weight 27820543 (89.98/col)
Tue Dec 16 08:41:32 2014  sparse part has weight 20855786 (67.45/col)
Tue Dec 16 08:41:32 2014  matrix starts at (0, 0)
Tue Dec 16 08:41:32 2014  matrix is 309014 x 309192 (92.5 MB) with weight 27820543 (89.98/col)
Tue Dec 16 08:41:32 2014  sparse part has weight 20855786 (67.45/col)
Tue Dec 16 08:41:32 2014  saving the first 48 matrix rows for later
Tue Dec 16 08:41:32 2014  matrix includes 64 packed rows
Tue Dec 16 08:41:32 2014  matrix is 308966 x 309192 (87.6 MB) with weight 22141296 (71.61/col)
Tue Dec 16 08:41:32 2014  sparse part has weight 19864821 (64.25/col)
Tue Dec 16 08:41:32 2014  using block size 65536 for processor cache size 8192 kB
Tue Dec 16 08:41:33 2014  commencing Lanczos iteration (8 threads)
Tue Dec 16 08:41:33 2014  memory use: 84.0 MB
Tue Dec 16 08:41:49 2014  linear algebra at 3.9%, ETA 0h 6m
Tue Dec 16 08:47:26 2014  lanczos halted after 4888 iterations (dim = 308964)
Tue Dec 16 08:47:27 2014  recovered 36 nontrivial dependencies
Tue Dec 16 08:47:27 2014  BLanczosTime: 388
Tue Dec 16 08:47:27 2014  
Tue Dec 16 08:47:27 2014  commencing square root phase
Tue Dec 16 08:47:27 2014  reading relations for dependency 1
Tue Dec 16 08:47:27 2014  read 154836 cycles
Tue Dec 16 08:47:27 2014  cycles contain 478444 unique relations
Tue Dec 16 08:47:38 2014  read 478444 relations
Tue Dec 16 08:47:40 2014  multiplying 478444 relations
Tue Dec 16 08:47:58 2014  multiply complete, coefficients have about 14.48 million bits
Tue Dec 16 08:47:58 2014  initial square root is modulo 208794101
Tue Dec 16 08:48:21 2014  sqrtTime: 54
--
n: 30092061306199474664014484992221967204753525616504730574044322036059470073700048453319052355086323413153801035370922908219213016091602274755820773723
m: 1000000000000000000000000000000
deg: 5
c5: 1180
c0: -1
skew: 0.24
# Murphy_E = 1.183e-09
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:47:54 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 54 秒 (日本時間)

118×10152-19

c141

name 名前Cyp
date 日付December 17, 2014 04:14:22 UTC 2014 年 12 月 17 日 (水) 13 時 14 分 22 秒 (日本時間)
composite number 合成数
123755605789931775252089168419268257307502717027987906145611689550256881252179010462070712454226321860592397315377428577538031466712950300489<141>
prime factors 素因数
228681162022149228353207989833846740547082320883789715329<57>
541170967890854323654993703262195832426065419917507023652695056790372712767662468041<84>
factorization results 素因数分解の結果
12/17/14 03:03:16 v1.34.3, 
12/17/14 03:03:16 v1.34.3, ****************************
12/17/14 03:03:16 v1.34.3, Starting factorization of 123755605789931775252089168419268257307502717027987906145611689550256881252179010462070712454226321860592397315377428577538031466712950300489
12/17/14 03:03:16 v1.34.3, using pretesting plan: none
12/17/14 03:03:16 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/17/14 03:03:16 v1.34.3, ****************************
12/17/14 03:03:16 v1.34.3, nfs: commencing nfs on c141: 123755605789931775252089168419268257307502717027987906145611689550256881252179010462070712454226321860592397315377428577538031466712950300489
12/17/14 03:03:16 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/17/14 03:03:16 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/17/14 03:06:40 v1.34.3, nfs: commencing lattice sieving with 8 threads
[33 lines snipped]
12/17/14 05:02:14 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/17/14 05:05:38 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/17/14 05:08:59 v1.34.3, nfs: commencing msieve filtering
12/17/14 05:10:41 v1.34.3, nfs: commencing msieve linear algebra
12/17/14 05:13:48 v1.34.3, nfs: commencing msieve sqrt
12/17/14 05:14:21 v1.34.3, prp57 = 228681162022149228353207989833846740547082320883789715329
12/17/14 05:14:21 v1.34.3, prp84 = 541170967890854323654993703262195832426065419917507023652695056790372712767662468041
12/17/14 05:14:21 v1.34.3, NFS elapsed time = 7864.5170 seconds.
12/17/14 05:14:21 v1.34.3, 
12/17/14 05:14:21 v1.34.3, 
12/17/14 05:14:21 v1.34.3, Total factoring time = 7864.5178 seconds
--
Wed Dec 17 05:08:59 2014  
Wed Dec 17 05:08:59 2014  commencing relation filtering
Wed Dec 17 05:08:59 2014  estimated available RAM is 15987.3 MB
Wed Dec 17 05:08:59 2014  commencing duplicate removal, pass 1
Wed Dec 17 05:09:26 2014  found 1256822 hash collisions in 10043457 relations
Wed Dec 17 05:09:35 2014  added 359550 free relations
Wed Dec 17 05:09:35 2014  commencing duplicate removal, pass 2
Wed Dec 17 05:09:42 2014  found 779763 duplicates and 9623244 unique relations
Wed Dec 17 05:09:42 2014  memory use: 41.3 MB
Wed Dec 17 05:09:42 2014  reading ideals above 100000
Wed Dec 17 05:09:42 2014  commencing singleton removal, initial pass
Wed Dec 17 05:10:23 2014  memory use: 188.2 MB
Wed Dec 17 05:10:23 2014  reading all ideals from disk
Wed Dec 17 05:10:23 2014  memory use: 329.3 MB
Wed Dec 17 05:10:24 2014  keeping 9689042 ideals with weight <= 200, target excess is 51112
Wed Dec 17 05:10:24 2014  commencing in-memory singleton removal
Wed Dec 17 05:10:24 2014  begin with 9623244 relations and 9689042 unique ideals
Wed Dec 17 05:10:27 2014  reduce to 4731780 relations and 3693971 ideals in 12 passes
Wed Dec 17 05:10:27 2014  max relations containing the same ideal: 129
Wed Dec 17 05:10:28 2014  removing 1286006 relations and 886006 ideals in 400000 cliques
Wed Dec 17 05:10:29 2014  commencing in-memory singleton removal
Wed Dec 17 05:10:29 2014  begin with 3445774 relations and 3693971 unique ideals
Wed Dec 17 05:10:30 2014  reduce to 3223588 relations and 2563241 ideals in 8 passes
Wed Dec 17 05:10:30 2014  max relations containing the same ideal: 96
Wed Dec 17 05:10:30 2014  removing 1087070 relations and 687070 ideals in 400000 cliques
Wed Dec 17 05:10:31 2014  commencing in-memory singleton removal
Wed Dec 17 05:10:31 2014  begin with 2136518 relations and 2563241 unique ideals
Wed Dec 17 05:10:31 2014  reduce to 1943396 relations and 1660466 ideals in 9 passes
Wed Dec 17 05:10:31 2014  max relations containing the same ideal: 64
Wed Dec 17 05:10:32 2014  removing 636314 relations and 412674 ideals in 223641 cliques
Wed Dec 17 05:10:32 2014  commencing in-memory singleton removal
Wed Dec 17 05:10:32 2014  begin with 1307082 relations and 1660466 unique ideals
Wed Dec 17 05:10:32 2014  reduce to 1176971 relations and 1103267 ideals in 9 passes
Wed Dec 17 05:10:32 2014  max relations containing the same ideal: 48
Wed Dec 17 05:10:32 2014  removing 76322 relations and 61908 ideals in 14414 cliques
Wed Dec 17 05:10:32 2014  commencing in-memory singleton removal
Wed Dec 17 05:10:32 2014  begin with 1100649 relations and 1103267 unique ideals
Wed Dec 17 05:10:32 2014  reduce to 1096352 relations and 1037006 ideals in 6 passes
Wed Dec 17 05:10:32 2014  max relations containing the same ideal: 46
Wed Dec 17 05:10:33 2014  relations with 0 large ideals: 1126
Wed Dec 17 05:10:33 2014  relations with 1 large ideals: 776
Wed Dec 17 05:10:33 2014  relations with 2 large ideals: 10926
Wed Dec 17 05:10:33 2014  relations with 3 large ideals: 64260
Wed Dec 17 05:10:33 2014  relations with 4 large ideals: 188200
Wed Dec 17 05:10:33 2014  relations with 5 large ideals: 305784
Wed Dec 17 05:10:33 2014  relations with 6 large ideals: 298570
Wed Dec 17 05:10:33 2014  relations with 7+ large ideals: 226710
Wed Dec 17 05:10:33 2014  commencing 2-way merge
Wed Dec 17 05:10:33 2014  reduce to 682228 relation sets and 622882 unique ideals
Wed Dec 17 05:10:33 2014  commencing full merge
Wed Dec 17 05:10:39 2014  memory use: 79.6 MB
Wed Dec 17 05:10:39 2014  found 348946 cycles, need 341082
Wed Dec 17 05:10:39 2014  weight of 341082 cycles is about 24207055 (70.97/cycle)
Wed Dec 17 05:10:39 2014  distribution of cycle lengths:
Wed Dec 17 05:10:39 2014  1 relations: 29184
Wed Dec 17 05:10:39 2014  2 relations: 32026
Wed Dec 17 05:10:39 2014  3 relations: 35574
Wed Dec 17 05:10:39 2014  4 relations: 36076
Wed Dec 17 05:10:39 2014  5 relations: 35813
Wed Dec 17 05:10:39 2014  6 relations: 33139
Wed Dec 17 05:10:39 2014  7 relations: 28999
Wed Dec 17 05:10:39 2014  8 relations: 25022
Wed Dec 17 05:10:39 2014  9 relations: 20986
Wed Dec 17 05:10:39 2014  10+ relations: 64263
Wed Dec 17 05:10:39 2014  heaviest cycle: 19 relations
Wed Dec 17 05:10:39 2014  commencing cycle optimization
Wed Dec 17 05:10:39 2014  start with 2093201 relations
Wed Dec 17 05:10:41 2014  pruned 65987 relations
Wed Dec 17 05:10:41 2014  memory use: 66.0 MB
Wed Dec 17 05:10:41 2014  distribution of cycle lengths:
Wed Dec 17 05:10:41 2014  1 relations: 29184
Wed Dec 17 05:10:41 2014  2 relations: 32696
Wed Dec 17 05:10:41 2014  3 relations: 36935
Wed Dec 17 05:10:41 2014  4 relations: 37319
Wed Dec 17 05:10:41 2014  5 relations: 37412
Wed Dec 17 05:10:41 2014  6 relations: 34194
Wed Dec 17 05:10:41 2014  7 relations: 29950
Wed Dec 17 05:10:41 2014  8 relations: 25270
Wed Dec 17 05:10:41 2014  9 relations: 20980
Wed Dec 17 05:10:41 2014  10+ relations: 57142
Wed Dec 17 05:10:41 2014  heaviest cycle: 19 relations
Wed Dec 17 05:10:41 2014  RelProcTime: 102
Wed Dec 17 05:10:41 2014  
Wed Dec 17 05:10:41 2014  commencing linear algebra
Wed Dec 17 05:10:41 2014  read 341082 cycles
Wed Dec 17 05:10:41 2014  cycles contain 1061741 unique relations
Wed Dec 17 05:10:50 2014  read 1061741 relations
Wed Dec 17 05:10:50 2014  using 20 quadratic characters above 134161220
Wed Dec 17 05:10:54 2014  building initial matrix
Wed Dec 17 05:10:59 2014  memory use: 132.6 MB
Wed Dec 17 05:10:59 2014  read 341082 cycles
Wed Dec 17 05:10:59 2014  matrix is 340905 x 341082 (102.2 MB) with weight 30254681 (88.70/col)
Wed Dec 17 05:10:59 2014  sparse part has weight 23038613 (67.55/col)
Wed Dec 17 05:11:00 2014  filtering completed in 2 passes
Wed Dec 17 05:11:00 2014  matrix is 340803 x 340980 (102.2 MB) with weight 30250837 (88.72/col)
Wed Dec 17 05:11:00 2014  sparse part has weight 23036857 (67.56/col)
Wed Dec 17 05:11:01 2014  matrix starts at (0, 0)
Wed Dec 17 05:11:01 2014  matrix is 340803 x 340980 (102.2 MB) with weight 30250837 (88.72/col)
Wed Dec 17 05:11:01 2014  sparse part has weight 23036857 (67.56/col)
Wed Dec 17 05:11:01 2014  saving the first 48 matrix rows for later
Wed Dec 17 05:11:01 2014  matrix includes 64 packed rows
Wed Dec 17 05:11:01 2014  matrix is 340755 x 340980 (96.0 MB) with weight 23902107 (70.10/col)
Wed Dec 17 05:11:01 2014  sparse part has weight 21766305 (63.83/col)
Wed Dec 17 05:11:01 2014  using block size 65536 for processor cache size 8192 kB
Wed Dec 17 05:11:02 2014  commencing Lanczos iteration (8 threads)
Wed Dec 17 05:11:02 2014  memory use: 92.5 MB
Wed Dec 17 05:11:08 2014  linear algebra at 3.6%, ETA 0h 2m
Wed Dec 17 05:13:48 2014  lanczos halted after 5391 iterations (dim = 340755)
Wed Dec 17 05:13:48 2014  recovered 39 nontrivial dependencies
Wed Dec 17 05:13:48 2014  BLanczosTime: 187
Wed Dec 17 05:13:48 2014  
Wed Dec 17 05:13:48 2014  commencing square root phase
Wed Dec 17 05:13:48 2014  reading relations for dependency 1
Wed Dec 17 05:13:48 2014  read 170963 cycles
Wed Dec 17 05:13:49 2014  cycles contain 531522 unique relations
Wed Dec 17 05:13:56 2014  read 531522 relations
Wed Dec 17 05:13:57 2014  multiplying 531522 relations
Wed Dec 17 05:14:07 2014  multiply complete, coefficients have about 17.71 million bits
Wed Dec 17 05:14:07 2014  initial square root is modulo 122501
Wed Dec 17 05:14:21 2014  sqrtTime: 33
--
n: 123755605789931775252089168419268257307502717027987906145611689550256881252179010462070712454226321860592397315377428577538031466712950300489
m: 1000000000000000000000000000000
deg: 5
c5: 11800
c0: -1
skew: 0.15
# Murphy_E = 8.665e-10
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:47:55 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 55 秒 (日本時間)

118×10154-19

c156

name 名前Serge Batalov
date 日付December 8, 2014 19:29:45 UTC 2014 年 12 月 9 日 (火) 4 時 29 分 45 秒 (日本時間)
composite number 合成数
131111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<156>
prime factors 素因数
781281549552022268672056779208919<33>
167815445259508167779277808244328497039552616363098055144407587919234862734546231267575263986615404537867271084460390580369<123>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3486945423
Step 1 took 11276ms
Step 2 took 8489ms
********** Factor found in step 2: 781281549552022268672056779208919
Found probable prime factor of 33 digits: 781281549552022268672056779208919
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 8, 2014 19:27:24 UTC 2014 年 12 月 9 日 (火) 4 時 27 分 24 秒 (日本時間)

118×10155-19

c153

name 名前Dmitry Domanov
date 日付December 9, 2014 11:13:17 UTC 2014 年 12 月 9 日 (火) 20 時 13 分 17 秒 (日本時間)
composite number 合成数
607840107144696852624529954154432596713542471539689898521609230927728841497965280997269870705197548034822026477102972235100190593931901303250399217019523<153>
prime factors 素因数
56859694027494736171495839488901702522751019692919631188430082211<65>
10690175484426161316542433701407977787624273023454475647339688348993640458708219537144993<89>
factorization results 素因数分解の結果
N=607840107144696852624529954154432596713542471539689898521609230927728841497965280997269870705197548034822026477102972235100190593931901303250399217019523
  ( 153 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=56859694027494736171495839488901702522751019692919631188430082211 (pp65)
 r2=10690175484426161316542433701407977787624273023454475647339688348993640458708219537144993 (pp89)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 14.20 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 607840107144696852624529954154432596713542471539689898521609230927728841497965280997269870705197548034822026477102972235100190593931901303250399217019523
m: 10000000000000000000000000000000
deg: 5
c5: 118
c0: -1
skew: 0.39
# Murphy_E = 9.771e-10
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1450000, 2250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 439951 x 440175
Total sieving time: 13.80 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.18 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,157.000,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 14.20 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 8, 2014 19:27:25 UTC 2014 年 12 月 9 日 (火) 4 時 27 分 25 秒 (日本時間)

118×10157-19

c150

name 名前Cyp
date 日付December 15, 2014 17:17:13 UTC 2014 年 12 月 16 日 (火) 2 時 17 分 13 秒 (日本時間)
composite number 合成数
120566670680198305922430764216167180309752592962734996251325238063854415702648800373596550221928301931533984753440651159401305757621540679002240613971<150>
prime factors 素因数
4927520182348908241230591182593907611595418004887343804083299533<64>
24468021686057340131977268355967323048672434757439349680561562392519535767570480656287<86>
factorization results 素因数分解の結果
12/15/14 15:06:58 v1.34.3, 
12/15/14 15:06:58 v1.34.3, ****************************
12/15/14 15:06:58 v1.34.3, Starting factorization of 120566670680198305922430764216167180309752592962734996251325238063854415702648800373596550221928301931533984753440651159401305757621540679002240613971
12/15/14 15:06:58 v1.34.3, using pretesting plan: none
12/15/14 15:06:58 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/15/14 15:06:58 v1.34.3, ****************************
12/15/14 15:06:58 v1.34.3, nfs: commencing nfs on c150: 120566670680198305922430764216167180309752592962734996251325238063854415702648800373596550221928301931533984753440651159401305757621540679002240613971
12/15/14 15:06:58 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/15/14 15:06:58 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/15/14 15:11:14 v1.34.3, nfs: commencing lattice sieving with 8 threads
[38 lines snipped]
12/15/14 18:00:40 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/15/14 18:05:08 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/15/14 18:09:37 v1.34.3, nfs: commencing msieve filtering
12/15/14 18:11:24 v1.34.3, nfs: commencing msieve linear algebra
12/15/14 18:16:30 v1.34.3, nfs: commencing msieve sqrt
12/15/14 18:17:12 v1.34.3, prp64 = 4927520182348908241230591182593907611595418004887343804083299533
12/15/14 18:17:12 v1.34.3, prp86 = 24468021686057340131977268355967323048672434757439349680561562392519535767570480656287
12/15/14 18:17:12 v1.34.3, NFS elapsed time = 11413.8314 seconds.
12/15/14 18:17:12 v1.34.3, 
12/15/14 18:17:12 v1.34.3, 
12/15/14 18:17:12 v1.34.3, Total factoring time = 11413.8322 seconds
--
Mon Dec 15 18:09:37 2014  
Mon Dec 15 18:09:37 2014  commencing relation filtering
Mon Dec 15 18:09:37 2014  estimated available RAM is 15987.3 MB
Mon Dec 15 18:09:37 2014  commencing duplicate removal, pass 1
Mon Dec 15 18:10:05 2014  found 1359977 hash collisions in 10084368 relations
Mon Dec 15 18:10:14 2014  added 359358 free relations
Mon Dec 15 18:10:14 2014  commencing duplicate removal, pass 2
Mon Dec 15 18:10:22 2014  found 914411 duplicates and 9529315 unique relations
Mon Dec 15 18:10:22 2014  memory use: 41.3 MB
Mon Dec 15 18:10:22 2014  reading ideals above 100000
Mon Dec 15 18:10:22 2014  commencing singleton removal, initial pass
Mon Dec 15 18:11:03 2014  memory use: 188.2 MB
Mon Dec 15 18:11:03 2014  reading all ideals from disk
Mon Dec 15 18:11:04 2014  memory use: 332.3 MB
Mon Dec 15 18:11:04 2014  keeping 9760771 ideals with weight <= 200, target excess is 50740
Mon Dec 15 18:11:04 2014  commencing in-memory singleton removal
Mon Dec 15 18:11:05 2014  begin with 9529315 relations and 9760771 unique ideals
Mon Dec 15 18:11:07 2014  reduce to 4608253 relations and 3728082 ideals in 11 passes
Mon Dec 15 18:11:07 2014  max relations containing the same ideal: 126
Mon Dec 15 18:11:08 2014  removing 1313659 relations and 913659 ideals in 400000 cliques
Mon Dec 15 18:11:09 2014  commencing in-memory singleton removal
Mon Dec 15 18:11:09 2014  begin with 3294594 relations and 3728082 unique ideals
Mon Dec 15 18:11:10 2014  reduce to 3048456 relations and 2542476 ideals in 8 passes
Mon Dec 15 18:11:10 2014  max relations containing the same ideal: 94
Mon Dec 15 18:11:11 2014  removing 1114773 relations and 714773 ideals in 400000 cliques
Mon Dec 15 18:11:11 2014  commencing in-memory singleton removal
Mon Dec 15 18:11:11 2014  begin with 1933683 relations and 2542476 unique ideals
Mon Dec 15 18:11:11 2014  reduce to 1705365 relations and 1569748 ideals in 10 passes
Mon Dec 15 18:11:11 2014  max relations containing the same ideal: 62
Mon Dec 15 18:11:12 2014  removing 295574 relations and 218816 ideals in 76758 cliques
Mon Dec 15 18:11:12 2014  commencing in-memory singleton removal
Mon Dec 15 18:11:12 2014  begin with 1409791 relations and 1569748 unique ideals
Mon Dec 15 18:11:12 2014  reduce to 1366938 relations and 1306134 ideals in 7 passes
Mon Dec 15 18:11:12 2014  max relations containing the same ideal: 53
Mon Dec 15 18:11:13 2014  relations with 0 large ideals: 1124
Mon Dec 15 18:11:13 2014  relations with 1 large ideals: 552
Mon Dec 15 18:11:13 2014  relations with 2 large ideals: 8546
Mon Dec 15 18:11:13 2014  relations with 3 large ideals: 55831
Mon Dec 15 18:11:13 2014  relations with 4 large ideals: 186245
Mon Dec 15 18:11:13 2014  relations with 5 large ideals: 348812
Mon Dec 15 18:11:13 2014  relations with 6 large ideals: 396045
Mon Dec 15 18:11:13 2014  relations with 7+ large ideals: 369783
Mon Dec 15 18:11:13 2014  commencing 2-way merge
Mon Dec 15 18:11:13 2014  reduce to 847149 relation sets and 786345 unique ideals
Mon Dec 15 18:11:13 2014  commencing full merge
Mon Dec 15 18:11:21 2014  memory use: 102.4 MB
Mon Dec 15 18:11:21 2014  found 436078 cycles, need 426545
Mon Dec 15 18:11:21 2014  weight of 426545 cycles is about 30236851 (70.89/cycle)
Mon Dec 15 18:11:21 2014  distribution of cycle lengths:
Mon Dec 15 18:11:21 2014  1 relations: 38015
Mon Dec 15 18:11:21 2014  2 relations: 41764
Mon Dec 15 18:11:21 2014  3 relations: 45241
Mon Dec 15 18:11:21 2014  4 relations: 44886
Mon Dec 15 18:11:21 2014  5 relations: 43637
Mon Dec 15 18:11:21 2014  6 relations: 40765
Mon Dec 15 18:11:21 2014  7 relations: 36998
Mon Dec 15 18:11:21 2014  8 relations: 31177
Mon Dec 15 18:11:21 2014  9 relations: 26169
Mon Dec 15 18:11:21 2014  10+ relations: 77893
Mon Dec 15 18:11:21 2014  heaviest cycle: 20 relations
Mon Dec 15 18:11:21 2014  commencing cycle optimization
Mon Dec 15 18:11:21 2014  start with 2585364 relations
Mon Dec 15 18:11:24 2014  pruned 79291 relations
Mon Dec 15 18:11:24 2014  memory use: 81.9 MB
Mon Dec 15 18:11:24 2014  distribution of cycle lengths:
Mon Dec 15 18:11:24 2014  1 relations: 38015
Mon Dec 15 18:11:24 2014  2 relations: 42667
Mon Dec 15 18:11:24 2014  3 relations: 46874
Mon Dec 15 18:11:24 2014  4 relations: 46344
Mon Dec 15 18:11:24 2014  5 relations: 45363
Mon Dec 15 18:11:24 2014  6 relations: 42217
Mon Dec 15 18:11:24 2014  7 relations: 37930
Mon Dec 15 18:11:24 2014  8 relations: 31694
Mon Dec 15 18:11:24 2014  9 relations: 26188
Mon Dec 15 18:11:24 2014  10+ relations: 69253
Mon Dec 15 18:11:24 2014  heaviest cycle: 19 relations
Mon Dec 15 18:11:24 2014  RelProcTime: 107
Mon Dec 15 18:11:24 2014  
Mon Dec 15 18:11:24 2014  commencing linear algebra
Mon Dec 15 18:11:24 2014  read 426545 cycles
Mon Dec 15 18:11:24 2014  cycles contain 1319776 unique relations
Mon Dec 15 18:11:34 2014  read 1319776 relations
Mon Dec 15 18:11:35 2014  using 20 quadratic characters above 134213312
Mon Dec 15 18:11:39 2014  building initial matrix
Mon Dec 15 18:11:45 2014  memory use: 163.6 MB
Mon Dec 15 18:11:46 2014  read 426545 cycles
Mon Dec 15 18:11:46 2014  matrix is 426367 x 426545 (127.8 MB) with weight 37809597 (88.64/col)
Mon Dec 15 18:11:46 2014  sparse part has weight 28821960 (67.57/col)
Mon Dec 15 18:11:47 2014  filtering completed in 2 passes
Mon Dec 15 18:11:47 2014  matrix is 426227 x 426405 (127.8 MB) with weight 37804621 (88.66/col)
Mon Dec 15 18:11:47 2014  sparse part has weight 28820016 (67.59/col)
Mon Dec 15 18:11:48 2014  matrix starts at (0, 0)
Mon Dec 15 18:11:48 2014  matrix is 426227 x 426405 (127.8 MB) with weight 37804621 (88.66/col)
Mon Dec 15 18:11:48 2014  sparse part has weight 28820016 (67.59/col)
Mon Dec 15 18:11:48 2014  saving the first 48 matrix rows for later
Mon Dec 15 18:11:48 2014  matrix includes 64 packed rows
Mon Dec 15 18:11:48 2014  matrix is 426179 x 426405 (120.2 MB) with weight 29885600 (70.09/col)
Mon Dec 15 18:11:48 2014  sparse part has weight 27257234 (63.92/col)
Mon Dec 15 18:11:48 2014  using block size 65536 for processor cache size 8192 kB
Mon Dec 15 18:11:49 2014  commencing Lanczos iteration (8 threads)
Mon Dec 15 18:11:49 2014  memory use: 116.2 MB
Mon Dec 15 18:11:57 2014  linear algebra at 2.8%, ETA 0h 4m
Mon Dec 15 18:16:29 2014  lanczos halted after 6741 iterations (dim = 426178)
Mon Dec 15 18:16:30 2014  recovered 37 nontrivial dependencies
Mon Dec 15 18:16:30 2014  BLanczosTime: 306
Mon Dec 15 18:16:30 2014  
Mon Dec 15 18:16:30 2014  commencing square root phase
Mon Dec 15 18:16:30 2014  reading relations for dependency 1
Mon Dec 15 18:16:30 2014  read 214064 cycles
Mon Dec 15 18:16:30 2014  cycles contain 662558 unique relations
Mon Dec 15 18:16:38 2014  read 662558 relations
Mon Dec 15 18:16:39 2014  multiplying 662558 relations
Mon Dec 15 18:16:53 2014  multiply complete, coefficients have about 22.21 million bits
Mon Dec 15 18:16:53 2014  initial square root is modulo 2392141
Mon Dec 15 18:17:12 2014  sqrtTime: 42
--
n: 120566670680198305922430764216167180309752592962734996251325238063854415702648800373596550221928301931533984753440651159401305757621540679002240613971
m: 10000000000000000000000000000000
deg: 5
c5: 11800
c0: -1
skew: 0.15
# Murphy_E = 5.568e-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 19:47:55 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 55 秒 (日本時間)

118×10161-19

c150

name 名前Jo Yeong Uk
date 日付December 31, 2014 12:56:54 UTC 2014 年 12 月 31 日 (水) 21 時 56 分 54 秒 (日本時間)
composite number 合成数
407556818873979284450314027200388016878663837394557513222862657391851212836439938499517915067836796599728366681451448914224407678132374287547564287361<150>
prime factors 素因数
53867712672542504583884282338276164750744755083<47>
7565883135812437901614323650781258827684733756111946427978873726912655008261969931956470882976524309667<103>
factorization results 素因数分解の結果
Number: 13111_161
N=407556818873979284450314027200388016878663837394557513222862657391851212836439938499517915067836796599728366681451448914224407678132374287547564287361
  ( 150 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=53867712672542504583884282338276164750744755083
 r2=7565883135812437901614323650781258827684733756111946427978873726912655008261969931956470882976524309667
Version: 
Total time: 10.23 hours.
Scaled time: 53.74 units (timescale=5.251).
Factorization parameters were as follows:
n: 407556818873979284450314027200388016878663837394557513222862657391851212836439938499517915067836796599728366681451448914224407678132374287547564287361
m: 100000000000000000000000000000000
deg: 5
c5: 1180
c0: -1
skew: 0.24
# Murphy_E = 4.866e-10
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1700000, 3200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9546102
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 616988 x 617236
Total sieving time: 9.50 hours.
Total relation processing time: 0.35 hours.
Matrix solve time: 0.35 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 10.23 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.88 BogoMIPS (lpj=3399941)
Total of 12 processors activated (81598.58 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:47:56 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 56 秒 (日本時間)

118×10162-19

c142

name 名前Serge Batalov
date 日付December 17, 2014 22:21:45 UTC 2014 年 12 月 18 日 (木) 7 時 21 分 45 秒 (日本時間)
composite number 合成数
2818436242511517798270835230564328006984383721827484984467564376989518785084723973563242634575136127638808815454746049014051944668993591839081<142>
prime factors 素因数
1038151633604931724038917568563987<34>
2714859902232810837459823920449498038570126766772678245780644674070065972322165995323932027733530210688191763<109>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3959659727
Step 1 took 9206ms
Step 2 took 7519ms
********** Factor found in step 2: 1038151633604931724038917568563987
Found probable prime factor of 34 digits: 1038151633604931724038917568563987
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 19:47:56 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 56 秒 (日本時間)

118×10163-19

c103

name 名前Dmitry Domanov
date 日付December 8, 2014 07:31:38 UTC 2014 年 12 月 8 日 (月) 16 時 31 分 38 秒 (日本時間)
composite number 合成数
8760918474630447510823966677965712543873855556285726285322271699663429012403355715719682625754902088363<103>
prime factors 素因数
864703250068496359516766500607560171785698718485089<51>
10131705268757186450053538105853168290214452458006667<53>
factorization results 素因数分解の結果
N=8760918474630447510823966677965712543873855556285726285322271699663429012403355715719682625754902088363
  ( 103 digits)
Divisors found:
 r1=864703250068496359516766500607560171785698718485089 (pp51)
 r2=10131705268757186450053538105853168290214452458006667 (pp53)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 5.76 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 8760918474630447510823966677965712543873855556285726285322271699663429012403355715719682625754902088363
skew: 3693836.50
c0: 202022902475881909228287779682
c1: -34656399568268674006300
c2: -48149626342806575
c3: 4723273560
c4: 2508
Y0: -7687860946724244578925937
Y1: 271734547385
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 : 257913 x 258140
Total sieving time: 5.54 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.03 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: 5.76 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)

118×10164-19

c144

name 名前Jo Yeong Uk
date 日付February 9, 2015 14:39:35 UTC 2015 年 2 月 9 日 (月) 23 時 39 分 35 秒 (日本時間)
composite number 合成数
122619318835943001419537621247551156533672615345564969279827882169214015153028005330797478288918176507266918522117600822908843076708730375253341<144>
prime factors 素因数
3419036644414313649153847574661726345171012053<46>
35863704191725000787587316849604230576415844538935552604685428264505534163516401828650802500571497<98>
factorization results 素因数分解の結果
Number: 13111_164
N=122619318835943001419537621247551156533672615345564969279827882169214015153028005330797478288918176507266918522117600822908843076708730375253341
  ( 144 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=3419036644414313649153847574661726345171012053
 r2=35863704191725000787587316849604230576415844538935552604685428264505534163516401828650802500571497
Version: 
Total time: 12.21 hours.
Scaled time: 64.20 units (timescale=5.256).
Factorization parameters were as follows:
n: 122619318835943001419537621247551156533672615345564969279827882169214015153028005330797478288918176507266918522117600822908843076708730375253341
m: 1000000000000000000000000000000000
deg: 5
c5: 59
c0: -5
skew: 0.61
# Murphy_E = 3.626e-10
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2100000, 3800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9469549
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 769785 x 770033
Total sieving time: 11.22 hours.
Total relation processing time: 0.39 hours.
Matrix solve time: 0.56 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 12.21 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.24 BogoMIPS (lpj=3400121)
Total of 12 processors activated (81602.90 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 19:47:57 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 57 秒 (日本時間)

118×10167-19

c135

name 名前Jo Yeong Uk
date 日付March 21, 2015 06:23:42 UTC 2015 年 3 月 21 日 (土) 15 時 23 分 42 秒 (日本時間)
composite number 合成数
198050575698659375909072429052308635841040647762410418513437565860174465661436656981694071208656945610384728771414053417084073797736453<135>
prime factors 素因数
1316028057312679549442829202200102164976991759<46>
150491149940281152342189058313155714243780035149943967327065038607323410450998490501815467<90>
factorization results 素因数分解の結果
Number: 13111_167
N=198050575698659375909072429052308635841040647762410418513437565860174465661436656981694071208656945610384728771414053417084073797736453
  ( 135 digits)
SNFS difficulty: 169 digits.
Divisors found:
 r1=1316028057312679549442829202200102164976991759
 r2=150491149940281152342189058313155714243780035149943967327065038607323410450998490501815467
Version: 
Total time: 20.79 hours.
Scaled time: 107.98 units (timescale=5.194).
Factorization parameters were as follows:
n: 198050575698659375909072429052308635841040647762410418513437565860174465661436656981694071208656945610384728771414053417084073797736453
m: 2000000000000000000000000000000000
deg: 5
c5: 1475
c0: -4
skew: 0.31
# Murphy_E = 2.266e-10
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2500000, 5300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 11085386
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 927349 x 927597
Total sieving time: 19.12 hours.
Total relation processing time: 0.76 hours.
Matrix solve time: 0.84 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,169,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.4,2.4,100000
total time: 20.79 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.89 BogoMIPS (lpj=3399946)
Total of 12 processors activated (81598.70 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:47:57 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 57 秒 (日本時間)
4511e6620 / 4409Pierre JammesFebruary 10, 2015 06:40:14 UTC 2015 年 2 月 10 日 (火) 15 時 40 分 14 秒 (日本時間)

118×10168-19

c134

name 名前Pierre Jammes
date 日付February 11, 2015 06:26:41 UTC 2015 年 2 月 11 日 (水) 15 時 26 分 41 秒 (日本時間)
composite number 合成数
19882592563034993461087264931817055051120965899908771790310225295935335013992647424487760300226415623401687303208756411690264011759823<134>
prime factors 素因数
7457832071745413370147349803583253603<37>
2666001643877416851922868263086219100439795842744705606827798726808359291499576114438467804280741<97>
factorization results 素因数分解の結果
Using B1=11000000, B2=144269945836, polynomial Dickson(12), sigma=4159960526
Step 1 took 50900ms
Step 2 took 46980ms
********** Factor found in step 2: 7457832071745413370147349803583253603
Found probable prime factor of 37 digits: 7457832071745413370147349803583253603
Probable prime cofactor 2666001643877416851922868263086219100439795842744705606827798726808359291499576114438467804280741 has 97 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)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:47:57 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 57 秒 (日本時間)

118×10169-19

c144

name 名前Jo Yeong Uk
date 日付April 2, 2015 15:28:21 UTC 2015 年 4 月 3 日 (金) 0 時 28 分 21 秒 (日本時間)
composite number 合成数
201102880122214312428254641922534693636780372934728642875224776763164152583652805381870572326643643514059771971071733803034662289399545001522817<144>
prime factors 素因数
119449714129075672049483257737879669776907313<45>
1683577743056843014254855263007529291596168157898091952065966131841027255974538558716768934954589009<100>
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 201102880122214312428254641922534693636780372934728642875224776763164152583652805381870572326643643514059771971071733803034662289399545001522817 (144 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1976229465
Step 1 took 25445ms
Step 2 took 8583ms
********** Factor found in step 2: 119449714129075672049483257737879669776907313
Found probable prime factor of 45 digits: 119449714129075672049483257737879669776907313
Probable prime cofactor 1683577743056843014254855263007529291596168157898091952065966131841027255974538558716768934954589009 has 100 digits
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62650300Serge BatalovDecember 10, 2014 19:47:58 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 58 秒 (日本時間)
2350Ignacio SantosFebruary 15, 2015 17:25:49 UTC 2015 年 2 月 16 日 (月) 2 時 25 分 49 秒 (日本時間)

118×10170-19

c160

name 名前Ben Meekins
date 日付January 2, 2015 18:57:56 UTC 2015 年 1 月 3 日 (土) 3 時 57 分 56 秒 (日本時間)
composite number 合成数
1841853972628921016077570938810241052581877832846319801818692838207304958162995405161310772823870294991911127538189247711813688560746157095349863438792640057593<160>
prime factors 素因数
236140608656362963283891350415848926739<39>
7799818858387155491312189094915505443771055979977804388848891087570441271025581658092613939471649679996702398772130526787<121>
factorization results 素因数分解の結果
Number: 13111_170
N = 1841853972628921016077570938810241052581877832846319801818692838207304958162995405161310772823870294991911127538189247711813688560746157095349863438792640057593 (160 digits)
SNFS difficulty: 173 digits.
Divisors found:
r1=236140608656362963283891350415848926739 (pp39)
r2=7799818858387155491312189094915505443771055979977804388848891087570441271025581658092613939471649679996702398772130526787 (pp121)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 7.97 hours.
Factorization parameters were as follows:
n: 1841853972628921016077570938810241052581877832846319801818692838207304958162995405161310772823870294991911127538189247711813688560746157095349863438792640057593
m: 10000000000000000000000000000000000
deg: 5
c5: 118
c0: -1
skew: 0.39
# Murphy_E = 2.525e-10
type: snfs
lss: 1
rlim: 5200000
alim: 5200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Sieved rational special-q in [0, 0)
Total raw relations: 12529904
Relations: 1036030 relations
Pruned matrix : 668754 x 668980
Polynomial selection time: 0.00 hours.
Total sieving time: 7.54 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.34 hours.
time per square root: 0.02 hours.
Prototype def-par.txt line would be: snfs,173,5,0,0,0,0,0,0,0,0,5200000,5200000,27,27,52,52,2.4,2.4,200000
total time: 7.97 hours.
x86_64
Linux-3.13.0-43-generic-x86_64-with-Ubuntu-14.04-trusty
processors: 4, speed: 2.10GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:47:58 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 58 秒 (日本時間)

118×10171-19

c151

name 名前Jo Yeong Uk
date 日付April 27, 2015 22:20:12 UTC 2015 年 4 月 28 日 (火) 7 時 20 分 12 秒 (日本時間)
composite number 合成数
1773067510694279993190000716576457954378063873853514188946296040688677127035651141028455012547563055529680476388922748693484764760347134884748905890227<151>
prime factors 素因数
81025400578634036487752795026009908306812441362262774587421646092083380733<74>
21882860165233522893856423704788030617399133138895453308145091475419381451119<77>
factorization results 素因数分解の結果
Number: 13111_171
N=1773067510694279993190000716576457954378063873853514188946296040688677127035651141028455012547563055529680476388922748693484764760347134884748905890227
  ( 151 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=81025400578634036487752795026009908306812441362262774587421646092083380733
 r2=21882860165233522893856423704788030617399133138895453308145091475419381451119
Version: 
Total time: 24.21 hours.
Scaled time: 126.88 units (timescale=5.242).
Factorization parameters were as follows:
n: 1773067510694279993190000716576457954378063873853514188946296040688677127035651141028455012547563055529680476388922748693484764760347134884748905890227
m: 10000000000000000000000000000000000
deg: 5
c5: 1180
c0: -1
skew: 0.24
# Murphy_E = 1.963e-10
type: snfs
lss: 1
rlim: 6200000
alim: 6200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [3100000, 6100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 11152405
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1036459 x 1036707
Total sieving time: 21.75 hours.
Total relation processing time: 0.82 hours.
Matrix solve time: 1.10 hours.
Time per square root: 0.53 hours.
Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,6200000,6200000,27,27,52,52,2.4,2.4,100000
total time: 24.21 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.00 BogoMIPS (lpj=3400000)
Total of 12 processors activated (81600.00 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:47:59 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 59 秒 (日本時間)
4511e6585 / 4409CypFebruary 10, 2015 03:27:35 UTC 2015 年 2 月 10 日 (火) 12 時 27 分 35 秒 (日本時間)

118×10172-19

c170

name 名前Serge Batalov
date 日付December 8, 2014 19:33:17 UTC 2014 年 12 月 9 日 (火) 4 時 33 分 17 秒 (日本時間)
composite number 合成数
60896939670743665170046962894152861640088765030706507715332610827269443154255044640553233214635908551375341900190948031170975899262011663312174227176549517469164473344687<170>
prime factors 素因数
128858988024632893806787081597<30>
composite cofactor 合成数の残り
472585891013690927808007159884989047949302757633860816124113241711821499349495477892112776398300896507867735543029154321279496133773507362971<141>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1351404309
Step 1 took 10913ms
Step 2 took 8725ms
********** Factor found in step 2: 128858988024632893806787081597
Found probable prime factor of 30 digits: 128858988024632893806787081597
Composite cofactor

c141

name 名前Ben Meekins
date 日付January 9, 2015 03:11:21 UTC 2015 年 1 月 9 日 (金) 12 時 11 分 21 秒 (日本時間)
composite number 合成数
472585891013690927808007159884989047949302757633860816124113241711821499349495477892112776398300896507867735543029154321279496133773507362971<141>
prime factors 素因数
195921956803879891722176628152563545351151624068600719579<57>
2412112959277733136158379329413227056973402455984571483360300970815726666607005168449<85>
factorization results 素因数分解の結果
Number: 13111_172
N = 472585891013690927808007159884989047949302757633860816124113241711821499349495477892112776398300896507867735543029154321279496133773507362971 (141 digits)
SNFS difficulty: 175 digits.
Divisors found:
r1=195921956803879891722176628152563545351151624068600719579 (pp57)
r2=2412112959277733136158379329413227056973402455984571483360300970815726666607005168449 (pp85)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 13.51 hours.
Factorization parameters were as follows:
n: 472585891013690927808007159884989047949302757633860816124113241711821499349495477892112776398300896507867735543029154321279496133773507362971
m: 10000000000000000000000000000000000
deg: 5
c5: 11800
c0: -1
skew: 0.15
# Murphy_E = 1.435e-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
Sieved rational special-q in [0, 0)
Total raw relations: 12718330
Relations: 1366680 relations
Pruned matrix : 895581 x 895806
Polynomial selection time: 0.00 hours.
Total sieving time: 12.79 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.61 hours.
time per square root: 0.03 hours.
Prototype def-par.txt line would be: snfs,175,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,200000
total time: 13.51 hours.
x86_64
Linux-3.13.0-43-generic-x86_64-with-Ubuntu-14.04-trusty
processors: 4, speed: 3.20GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 8, 2014 19:27:29 UTC 2014 年 12 月 9 日 (火) 4 時 27 分 29 秒 (日本時間)

118×10173-19

c123

name 名前Serge Batalov
date 日付December 11, 2014 01:33:41 UTC 2014 年 12 月 11 日 (木) 10 時 33 分 41 秒 (日本時間)
composite number 合成数
857012026306089571577127214786616483463041816148135379247596136935091388932105284780494272156534422768667777877072056074117<123>
prime factors 素因数
5244658033512562298918853463613<31>
163406655082164339996649865629974960681664858275450512326525152268601277034168094826357183209<93>
factorization results 素因数分解の結果
Input number is 857012026306089571577127214786616483463041816148135379247596136935091388932105284780494272156534422768667777877072056074117 (123 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1725641639
Step 1 took 7629ms
Step 2 took 6268ms
********** Factor found in step 2: 5244658033512562298918853463613
Found probable prime factor of 31 digits: 5244658033512562298918853463613
Probable prime cofactor 163406655082164339996649865629974960681664858275450512326525152268601277034168094826357183209 has 93 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:47:59 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 59 秒 (日本時間)

118×10174-19

c131

name 名前Jo Yeong Uk
date 日付May 14, 2015 22:07:40 UTC 2015 年 5 月 15 日 (金) 7 時 7 分 40 秒 (日本時間)
composite number 合成数
10087476614563463497932463248859804019718377026227304119672002737891775642641957853054581088825180668946076541314287737052574501841<131>
prime factors 素因数
7716100806269936574391892889925066277095512323<46>
1307328256567954406108984158564325786629677265952543459087482471708462129950044589467<85>
factorization results 素因数分解の結果
Number: 13111_174
N=10087476614563463497932463248859804019718377026227304119672002737891775642641957853054581088825180668946076541314287737052574501841
  ( 131 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=7716100806269936574391892889925066277095512323
 r2=1307328256567954406108984158564325786629677265952543459087482471708462129950044589467
Version: 
Total time: 29.13 hours.
Scaled time: 150.29 units (timescale=5.160).
Factorization parameters were as follows:
n: 10087476614563463497932463248859804019718377026227304119672002737891775642641957853054581088825180668946076541314287737052574501841
m: 100000000000000000000000000000000000
deg: 5
c5: 59
c0: -5
skew: 0.61
# Murphy_E = 1.452e-10
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
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: 53/53
Sieved rational special-q in [3700000, 6900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 17664944
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1322618 x 1322866
Total sieving time: 25.24 hours.
Total relation processing time: 1.41 hours.
Matrix solve time: 2.13 hours.
Time per square root: 0.34 hours.
Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,53,53,2.5,2.5,100000
total time: 29.13 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.77 BogoMIPS (lpj=3399888)
Total of 12 processors activated (81597.31 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 19:48:00 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 0 秒 (日本時間)
4511e6921 / 3707Pierre JammesFebruary 12, 2015 07:12:40 UTC 2015 年 2 月 12 日 (木) 16 時 12 分 40 秒 (日本時間)
5043e6200 / 7335Pierre JammesApril 2, 2015 11:36:54 UTC 2015 年 4 月 2 日 (木) 20 時 36 分 54 秒 (日本時間)

118×10175-19

c134

name 名前Jo Yeong Uk
date 日付May 24, 2015 07:48:30 UTC 2015 年 5 月 24 日 (日) 16 時 48 分 30 秒 (日本時間)
composite number 合成数
37705155574664628324489370737641955892687765135249193457435910564976586636473769003034685527280500293044711743926437757704277391813297<134>
prime factors 素因数
486442630157932358376023462422638958838219415773435151496856491<63>
77512029655836230221908973451342447412363514543780440637758408625352467<71>
factorization results 素因数分解の結果
Number: 13111_175
N=37705155574664628324489370737641955892687765135249193457435910564976586636473769003034685527280500293044711743926437757704277391813297
  ( 134 digits)
SNFS difficulty: 177 digits.
Divisors found:
 r1=486442630157932358376023462422638958838219415773435151496856491
 r2=77512029655836230221908973451342447412363514543780440637758408625352467
Version: 
Total time: 26.83 hours.
Scaled time: 141.04 units (timescale=5.256).
Factorization parameters were as follows:
n: 37705155574664628324489370737641955892687765135249193457435910564976586636473769003034685527280500293044711743926437757704277391813297
m: 100000000000000000000000000000000000
deg: 5
c5: 118
c0: -1
skew: 0.39
# Murphy_E = 1.593e-10
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
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: 53/53
Sieved rational special-q in [3700000, 6700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 17918746
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1186291 x 1186539
Total sieving time: 23.86 hours.
Total relation processing time: 1.36 hours.
Matrix solve time: 1.54 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,53,53,2.5,2.5,100000
total time: 26.83 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.77 BogoMIPS (lpj=3399888)
Total of 12 processors activated (81597.31 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 19:48:00 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 0 秒 (日本時間)
4511e6585 / 4177CypJanuary 29, 2015 22:29:00 UTC 2015 年 1 月 30 日 (金) 7 時 29 分 0 秒 (日本時間)
5043e666 / 741024Pierre JammesFebruary 12, 2015 14:16:41 UTC 2015 年 2 月 12 日 (木) 23 時 16 分 41 秒 (日本時間)
42Pierre JammesApril 2, 2015 20:19:02 UTC 2015 年 4 月 3 日 (金) 5 時 19 分 2 秒 (日本時間)

118×10177-19

c134

name 名前Pierre Jammes
date 日付February 13, 2015 01:59:40 UTC 2015 年 2 月 13 日 (金) 10 時 59 分 40 秒 (日本時間)
composite number 合成数
25117443403331245132158264127971978794273830772449010429647758980910522214191822028361068220955670138829307875495053575260370080332451<134>
prime factors 素因数
42097734988158905480861792587022359<35>
596645957565084827251351113212305888723262140379302678041897562633504152637434507939303068338357589<99>
factorization results 素因数分解の結果
Using B1=11000000, B2=144269945836, polynomial Dickson(12), sigma=557558826
Step 1 took 61340ms
Step 2 took 53704ms
********** Factor found in step 2: 42097734988158905480861792587022359
Found probable prime factor of 35 digits: 42097734988158905480861792587022359
Probable prime cofactor 596645957565084827251351113212305888723262140379302678041897562633504152637434507939303068338357589 has 99 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 9, 2014 13:31:02 UTC 2014 年 12 月 9 日 (火) 22 時 31 分 2 秒 (日本時間)

118×10178-19

c152

name 名前Jo Yeong Uk
date 日付November 23, 2015 13:42:29 UTC 2015 年 11 月 23 日 (月) 22 時 42 分 29 秒 (日本時間)
composite number 合成数
12611750685890641234359470356428980002032403352303992964563319072124597583625918816617938648021968988114951536205331934247057449292545892724185660220763<152>
prime factors 素因数
607873316323915415254579384909485330356287344349686523346519683<63>
20747333938195536693608434729636275653333077823136122301396265415459429008490224263474761<89>
factorization results 素因数分解の結果
Number: 13111_178
N=12611750685890641234359470356428980002032403352303992964563319072124597583625918816617938648021968988114951536205331934247057449292545892724185660220763
  ( 152 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=607873316323915415254579384909485330356287344349686523346519683
 r2=20747333938195536693608434729636275653333077823136122301396265415459429008490224263474761
Version: 
Total time: 54.68 hours.
Scaled time: 272.27 units (timescale=4.979).
Factorization parameters were as follows:
n: 12611750685890641234359470356428980002032403352303992964563319072124597583625918816617938648021968988114951536205331934247057449292545892724185660220763
m: 200000000000000000000000000000000000
deg: 5
c5: 7375
c0: -2
skew: 0.19
# Murphy_E = 7.967e-11
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [2800000, 5400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18029465
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1331928 x 1332176
Total sieving time: 50.91 hours.
Total relation processing time: 1.21 hours.
Matrix solve time: 2.15 hours.
Time per square root: 0.41 hours.
Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,5600000,5600000,28,28,53,53,2.5,2.5,100000
total time: 54.68 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:48:00 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 0 秒 (日本時間)
4511e6600 / 4409KTakahashiMay 10, 2015 18:16:47 UTC 2015 年 5 月 11 日 (月) 3 時 16 分 47 秒 (日本時間)

118×10183-19

c168

name 名前Jo Yeong Uk
date 日付May 13, 2016 15:25:55 UTC 2016 年 5 月 14 日 (土) 0 時 25 分 55 秒 (日本時間)
composite number 合成数
192648931613163945264953105447654677770767932320815698663222955935234071894206919267259134665736488294272029790137080630459251510814835778963235465306974022441689817593<168>
prime factors 素因数
264046034143178209197376046024331259818318820128440434904047<60>
729603579308828442223522742071007848651554541845893048738674487657595919360023546610959156424828484578388119<108>
factorization results 素因数分解の結果
Number: 13111_183
N=192648931613163945264953105447654677770767932320815698663222955935234071894206919267259134665736488294272029790137080630459251510814835778963235465306974022441689817593
  ( 168 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=264046034143178209197376046024331259818318820128440434904047
 r2=729603579308828442223522742071007848651554541845893048738674487657595919360023546610959156424828484578388119
Version: 
Total time: 78.30 hours.
Scaled time: 411.78 units (timescale=5.259).
Factorization parameters were as follows:
n: 192648931613163945264953105447654677770767932320815698663222955935234071894206919267259134665736488294272029790137080630459251510814835778963235465306974022441689817593
m: 2000000000000000000000000000000000000
deg: 5
c5: 7375
c0: -2
skew: 0.19
# Murphy_E = 4.998e-11
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [3600000, 7200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20326595
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1677096 x 1677344
Total sieving time: 72.67 hours.
Total relation processing time: 1.92 hours.
Matrix solve time: 3.57 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,54,54,2.5,2.5,100000
total time: 78.30 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49365464k/51380224k available (5398k kernel code, 1086460k absent, 928300k reserved, 7010k data, 1296k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.67 BogoMIPS (lpj=3399839)
Total of 12 processors activated (81596.13 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 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 17:48:30 UTC 2014 年 12 月 8 日 (月) 2 時 48 分 30 秒 (日本時間)
4511e6600 / 4413KTakahashiMay 30, 2015 21:09:06 UTC 2015 年 5 月 31 日 (日) 6 時 9 分 6 秒 (日本時間)

118×10185-19

c178

name 名前Jo Yeong Uk
date 日付September 8, 2016 00:22:30 UTC 2016 年 9 月 8 日 (木) 9 時 22 分 30 秒 (日本時間)
composite number 合成数
3034780329633770741700279128472988560514623995723259995832336173313942640423006672868044809845266866673247047723452733187962571907084936150314062639495011997629829361382361512971<178>
prime factors 素因数
1856624152367421197156981086216474176713431554247695851243047420845798064313<76>
1634569024519075325416622988167634998179537891661899254793373690081629354532824481707730587663615908067<103>
factorization results 素因数分解の結果
Number: 13111_185
N=3034780329633770741700279128472988560514623995723259995832336173313942640423006672868044809845266866673247047723452733187962571907084936150314062639495011997629829361382361512971
  ( 178 digits)
SNFS difficulty: 187 digits.
Divisors found:
 r1=1856624152367421197156981086216474176713431554247695851243047420845798064313
 r2=1634569024519075325416622988167634998179537891661899254793373690081629354532824481707730587663615908067
Version: 
Total time: 62.82 hours.
Scaled time: 330.26 units (timescale=5.257).
Factorization parameters were as follows:
n: 3034780329633770741700279128472988560514623995723259995832336173313942640423006672868044809845266866673247047723452733187962571907084936150314062639495011997629829361382361512971
m: 10000000000000000000000000000000000000
deg: 5
c5: 118
c0: -1
skew: 0.39
# Murphy_E = 6.261e-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, 6500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 19893958
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1542231 x 1542479
Total sieving time: 58.28 hours.
Total relation processing time: 1.48 hours.
Matrix solve time: 2.96 hours.
Time per square root: 0.10 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: 62.82 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49368528k/51380224k available (5398k kernel code, 1086460k absent, 925236k reserved, 7010k data, 1296k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.70 BogoMIPS (lpj=3399852)
Total of 12 processors activated (81596.44 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 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 01:05:07 UTC 2014 年 12 月 8 日 (月) 10 時 5 分 7 秒 (日本時間)
4511e6591 / 4413CypJuly 31, 2015 18:23:27 UTC 2015 年 8 月 1 日 (土) 3 時 23 分 27 秒 (日本時間)

118×10188-19

c181

name 名前Jo Yeong Uk
date 日付January 3, 2017 11:06:10 UTC 2017 年 1 月 3 日 (火) 20 時 6 分 10 秒 (日本時間)
composite number 合成数
2281668778025306162055939913586153406381079146105236864928866165331867131429680184796778449357784963638356644158060246357667762627785200713410769029850594825994021151099350005758961<181>
prime factors 素因数
1347162297673899650995415355640467251238755855202075778479205291280159<70>
1693685149862780290285465524828477494700905342752003669149847055389280646030761095598379945875197754227318909679<112>
factorization results 素因数分解の結果
Number: 13111_188
N=2281668778025306162055939913586153406381079146105236864928866165331867131429680184796778449357784963638356644158060246357667762627785200713410769029850594825994021151099350005758961
  ( 181 digits)
SNFS difficulty: 190 digits.
Divisors found:
 r1=1347162297673899650995415355640467251238755855202075778479205291280159
 r2=1693685149862780290285465524828477494700905342752003669149847055389280646030761095598379945875197754227318909679
Version: 
Total time: 121.16 hours.
Scaled time: 618.66 units (timescale=5.106).
Factorization parameters were as follows:
n: 2281668778025306162055939913586153406381079146105236864928866165331867131429680184796778449357784963638356644158060246357667762627785200713410769029850594825994021151099350005758961
m: 20000000000000000000000000000000000000
deg: 5
c5: 7375
c0: -2
skew: 0.19
# Murphy_E = 3.122e-11
type: snfs
lss: 1
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4500000, 9900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 21417921
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1944390 x 1944637
Total sieving time: 112.30 hours.
Total relation processing time: 3.08 hours.
Matrix solve time: 5.44 hours.
Time per square root: 0.35 hours.
Prototype def-par.txt line would be:
snfs,190,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,54,54,2.5,2.5,100000
total time: 121.16 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6580280CypDecember 10, 2014 15:09:54 UTC 2014 年 12 月 11 日 (木) 0 時 9 分 54 秒 (日本時間)
300Serge BatalovDecember 10, 2014 19:48:01 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 1 秒 (日本時間)
4511e6504 / 4347CypMay 31, 2015 23:52:56 UTC 2015 年 6 月 1 日 (月) 8 時 52 分 56 秒 (日本時間)

118×10189-19

c187

name 名前Serge Batalov
date 日付December 9, 2014 01:03:40 UTC 2014 年 12 月 9 日 (火) 10 時 3 分 40 秒 (日本時間)
composite number 合成数
1539043445370479059879224217761604778860325285962097794472486337728737071382921834852812667110119862790364022903053305682722280914557003299813488802806797876641755031237364844595740240769<187>
prime factors 素因数
1824454028218455538606702133759<31>
composite cofactor 合成数の残り
843563839683768599146072217211036146295439111815119510588157640418664253142269341232525571293939984161293684538277962065573594540993425420055225482468299391<156>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=63468235
Step 1 took 15076ms
********** Factor found in step 1: 1824454028218455538606702133759
Found probable prime factor of 31 digits: 1824454028218455538606702133759
Composite cofactor 

c156

name 名前Jo Yeong Uk
date 日付February 5, 2017 01:13:40 UTC 2017 年 2 月 5 日 (日) 10 時 13 分 40 秒 (日本時間)
composite number 合成数
843563839683768599146072217211036146295439111815119510588157640418664253142269341232525571293939984161293684538277962065573594540993425420055225482468299391<156>
prime factors 素因数
513014587477687710823936315021738790509623543616180110434072521167903976069<75>
1644327199020353983814702302494892183555575555216850666566290303938128299503948339<82>
factorization results 素因数分解の結果
Number: 13111_189
N=843563839683768599146072217211036146295439111815119510588157640418664253142269341232525571293939984161293684538277962065573594540993425420055225482468299391
  ( 156 digits)
SNFS difficulty: 191 digits.
Divisors found:
 r1=513014587477687710823936315021738790509623543616180110434072521167903976069
 r2=1644327199020353983814702302494892183555575555216850666566290303938128299503948339
Version: 
Total time: 102.41 hours.
Scaled time: 536.73 units (timescale=5.241).
Factorization parameters were as follows:
n: 843563839683768599146072217211036146295439111815119510588157640418664253142269341232525571293939984161293684538277962065573594540993425420055225482468299391
m: 100000000000000000000000000000000000000
deg: 5
c5: 59
c0: -5
skew: 0.61
# Murphy_E = 3.557e-11
type: snfs
lss: 1
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4500000, 9000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20903329
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1873261 x 1873508
Total sieving time: 94.72 hours.
Total relation processing time: 2.48 hours.
Matrix solve time: 4.92 hours.
Time per square root: 0.28 hours.
Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,54,54,2.5,2.5,100000
total time: 102.41 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 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)

118×10190-19

c146

name 名前Serge Batalov
date 日付December 11, 2014 01:33:44 UTC 2014 年 12 月 11 日 (木) 10 時 33 分 44 秒 (日本時間)
composite number 合成数
58605157428772955291994994295869182414416796133041198518569714601336914198149963334972050125698397853332970056534843948469694845255719122631954927<146>
prime factors 素因数
9331275046342427603534826509447<31>
6280509055591965628478363579885245875648954647841005641338280886875998832295604430748524458963064529014963860330841<115>
factorization results 素因数分解の結果
Input number is 58605157428772955291994994295869182414416796133041198518569714601336914198149963334972050125698397853332970056534843948469694845255719122631954927 (146 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2488140071
Step 1 took 9145ms
Step 2 took 7358ms
********** Factor found in step 2: 9331275046342427603534826509447
Found probable prime factor of 31 digits: 9331275046342427603534826509447
Probable prime cofactor 6280509055591965628478363579885245875648954647841005641338280886875998832295604430748524458963064529014963860330841 has 115 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:48:01 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 1 秒 (日本時間)

118×10191-19

c173

name 名前Cyp
date 日付December 7, 2014 04:54:48 UTC 2014 年 12 月 7 日 (日) 13 時 54 分 48 秒 (日本時間)
composite number 合成数
18823006928041380002474789737635707362879948771757586945623629980118197452212949124160219443796214117433121274136134324297951873030717141071724405878429710178321865818963771<173>
prime factors 素因数
1297540213381135231789002852721<31>
14506684828666941143820106012683369030376489459030719725066939172993422425359184059765839222301183711599034628903738531706677018626147711475051<143>
factorization results 素因数分解の結果
Run 32 out of 280:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1892847255
Step 1 took 13491ms
Step 2 took 5076ms
********** Factor found in step 2: 1297540213381135231789002852721
Found probable prime factor of 31 digits: 1297540213381135231789002852721
Probable prime cofactor 14506684828666941143820106012683369030376489459030719725066939172993422425359184059765839222301183711599034628903738531706677018626147711475051 has 143 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 / 815Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e632 / 2318CypDecember 7, 2014 04:54:48 UTC 2014 年 12 月 7 日 (日) 13 時 54 分 48 秒 (日本時間)

118×10193-19

c154

name 名前Jo Yeong Uk
date 日付July 31, 2017 11:16:16 UTC 2017 年 7 月 31 日 (月) 20 時 16 分 16 秒 (日本時間)
composite number 合成数
1266653939454941848959014837323272182217347865067352307955140223890493838757569829623168572369583475559009859607880359482733945056772066799618453231595371<154>
prime factors 素因数
104070754539382051165435957109590865776942719147095688719462774756761<69>
12171084422911718003130889090078816279584830667697206899443979476454816939571300911011<86>
factorization results 素因数分解の結果
Number: 13111_193
N=1266653939454941848959014837323272182217347865067352307955140223890493838757569829623168572369583475559009859607880359482733945056772066799618453231595371
  ( 154 digits)
SNFS difficulty: 195 digits.
Divisors found:
 r1=104070754539382051165435957109590865776942719147095688719462774756761
 r2=12171084422911718003130889090078816279584830667697206899443979476454816939571300911011
Version: 
Total time: 186.24 hours.
Scaled time: 977.01 units (timescale=5.246).
Factorization parameters were as follows:
n: 1266653939454941848959014837323272182217347865067352307955140223890493838757569829623168572369583475559009859607880359482733945056772066799618453231595371
m: 200000000000000000000000000000000000000
deg: 5
c5: 7375
c0: -2
skew: 0.19
# Murphy_E = 1.942e-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, 13800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 23863160
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2377028 x 2377276
Total sieving time: 171.05 hours.
Total relation processing time: 5.10 hours.
Matrix solve time: 9.18 hours.
Time per square root: 0.92 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: 186.24 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
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 19:48:02 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 2 秒 (日本時間)
4511e6585 / 4409CypFebruary 10, 2015 17:26:51 UTC 2015 年 2 月 11 日 (水) 2 時 26 分 51 秒 (日本時間)

118×10195-19

c181

name 名前Jo Yeong Uk
date 日付September 24, 2017 10:13:46 UTC 2017 年 9 月 24 日 (日) 19 時 13 分 46 秒 (日本時間)
composite number 合成数
6600453145841252913667077903338811587506216790134074870652596793631011024012814449282785660396753939264904036420214424568300398163795309867902156380825882669400639941227949986481173<181>
prime factors 素因数
1800076356708559092040585062815653307497351809478873<52>
3666762868831956784281752824891414127484968702836762079526318409222817610491878812705101625894445524421838993438833926617160755101<130>
factorization results 素因数分解の結果
Number: 13111_195
N=6600453145841252913667077903338811587506216790134074870652596793631011024012814449282785660396753939264904036420214424568300398163795309867902156380825882669400639941227949986481173
  ( 181 digits)
SNFS difficulty: 197 digits.
Divisors found:
 r1=1800076356708559092040585062815653307497351809478873
 r2=3666762868831956784281752824891414127484968702836762079526318409222817610491878812705101625894445524421838993438833926617160755101
Version: 
Total time: 142.59 hours.
Scaled time: 749.16 units (timescale=5.254).
Factorization parameters were as follows:
n: 6600453145841252913667077903338811587506216790134074870652596793631011024012814449282785660396753939264904036420214424568300398163795309867902156380825882669400639941227949986481173
m: 1000000000000000000000000000000000000000
deg: 5
c5: 118
c0: -1
skew: 0.39
# Murphy_E = 2.418e-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, 11900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 23106093
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2174143 x 2174391
Total sieving time: 131.13 hours.
Total relation processing time: 3.72 hours.
Matrix solve time: 7.24 hours.
Time per square root: 0.50 hours.
Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,12000000,12000000,28,28,55,55,2.5,2.5,100000
total time: 142.59 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:48:02 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 2 秒 (日本時間)
4511e6585 / 4409CypJune 28, 2015 19:12:24 UTC 2015 年 6 月 29 日 (月) 4 時 12 分 24 秒 (日本時間)

118×10196-19

c189

name 名前Jo Yeong Uk
date 日付November 19, 2017 03:15:29 UTC 2017 年 11 月 19 日 (日) 12 時 15 分 29 秒 (日本時間)
composite number 合成数
533850216885495331546132198015973990151477813874693574103798597781510232286522141858265475575713088266921083755010874784532680031687376343013154779183880887462665507428112486459019318137847<189>
prime factors 素因数
1306467467952003897009182784739715217498255902098449278774390217338159060337476598433451<88>
408621132925988443767566014002037046158178079805083553011005763843635806203556720966139575569076148197<102>
factorization results 素因数分解の結果
Number: 13111_196
N=533850216885495331546132198015973990151477813874693574103798597781510232286522141858265475575713088266921083755010874784532680031687376343013154779183880887462665507428112486459019318137847
  ( 189 digits)
SNFS difficulty: 198 digits.
Divisors found:
 r1=1306467467952003897009182784739715217498255902098449278774390217338159060337476598433451
 r2=408621132925988443767566014002037046158178079805083553011005763843635806203556720966139575569076148197
Version: 
Total time: 177.68 hours.
Scaled time: 909.89 units (timescale=5.121).
Factorization parameters were as follows:
n: 533850216885495331546132198015973990151477813874693574103798597781510232286522141858265475575713088266921083755010874784532680031687376343013154779183880887462665507428112486459019318137847
m: 1000000000000000000000000000000000000000
deg: 5
c5: 1180
c0: -1
skew: 0.24
# Murphy_E = 1.875e-11
type: snfs
lss: 1
rlim: 13000000
alim: 13000000
lpbr: 29
lpba: 29
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13000000/13000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 55/55
Sieved rational special-q in [6500000, 13600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 34585665
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2645402 x 2645648
Total sieving time: 159.18 hours.
Total relation processing time: 6.31 hours.
Matrix solve time: 11.78 hours.
Time per square root: 0.41 hours.
Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,13000000,13000000,29,29,55,55,2.5,2.5,100000
total time: 177.68 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 9, 2014 04:58:32 UTC 2014 年 12 月 9 日 (火) 13 時 58 分 32 秒 (日本時間)
4511e6591 / 4413CypJune 19, 2015 06:05:21 UTC 2015 年 6 月 19 日 (金) 15 時 5 分 21 秒 (日本時間)

118×10198-19

c165

name 名前Jo Yeong Uk
date 日付April 6, 2018 12:24:37 UTC 2018 年 4 月 6 日 (金) 21 時 24 分 37 秒 (日本時間)
composite number 合成数
398050280616662609200952080048321696560793929410691161418081974449992570043435863603145096728251130082203476652026267663858205495548198046623198081978966025989193053<165>
prime factors 素因数
4031297079955913080927618280506797167813<40>
98740001721980696016101069539768559669459799900704625036303156718129477900909308837168103253271437496278569543801400743575481<125>
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 398050280616662609200952080048321696560793929410691161418081974449992570043435863603145096728251130082203476652026267663858205495548198046623198081978966025989193053 (165 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2511218988
Step 1 took 29669ms
Step 2 took 10265ms
********** Factor found in step 2: 4031297079955913080927618280506797167813
Found probable prime factor of 40 digits: 4031297079955913080927618280506797167813
Probable prime cofactor 98740001721980696016101069539768559669459799900704625036303156718129477900909308837168103253271437496278569543801400743575481 has 125 digits
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6580280CypDecember 10, 2014 15:09:42 UTC 2014 年 12 月 11 日 (木) 0 時 9 分 42 秒 (日本時間)
300Serge BatalovDecember 10, 2014 19:48:03 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 3 秒 (日本時間)
4511e6504 / 4347CypJune 14, 2015 17:08:26 UTC 2015 年 6 月 15 日 (月) 2 時 8 分 26 秒 (日本時間)

118×10199-19

c144

name 名前Jo Yeong Uk
date 日付June 13, 2018 07:01:14 UTC 2018 年 6 月 13 日 (水) 16 時 1 分 14 秒 (日本時間)
composite number 合成数
694583047857124430422298078804988960842106056896363527479288536560348457278330373225468422683191831704822654456839081498937706147429457732627099<144>
prime factors 素因数
520835419057530385697155259888535406952837898944295099780105075153211<69>
1333594111387425145198745549854595074929526657460159440332170095772408946209<76>
factorization results 素因数分解の結果
Number: 13111_199
N=694583047857124430422298078804988960842106056896363527479288536560348457278330373225468422683191831704822654456839081498937706147429457732627099
  ( 144 digits)
SNFS difficulty: 201 digits.
Divisors found:
 r1=520835419057530385697155259888535406952837898944295099780105075153211
 r2=1333594111387425145198745549854595074929526657460159440332170095772408946209
Version: 
Total time: 227.05 hours.
Scaled time: 1189.28 units (timescale=5.238).
Factorization parameters were as follows:
n: 694583047857124430422298078804988960842106056896363527479288536560348457278330373225468422683191831704822654456839081498937706147429457732627099
m: 10000000000000000000000000000000000000000
deg: 5
c5: 59
c0: -5
skew: 0.61
# Murphy_E = 1.363e-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, 16500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 38284214
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3153300 x 3153548
Total sieving time: 205.67 hours.
Total relation processing time: 2.91 hours.
Matrix solve time: 18.22 hours.
Time per square root: 0.24 hours.
Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,16000000,16000000,29,29,56,56,2.6,2.6,100000
total time: 227.05 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 7, 2014 02:40:01 UTC 2014 年 12 月 7 日 (日) 11 時 40 分 1 秒 (日本時間)
4511e6591 / 4413CypJune 4, 2015 05:59:41 UTC 2015 年 6 月 4 日 (木) 14 時 59 分 41 秒 (日本時間)

118×10201-19

c197

name 名前Serge Batalov
date 日付December 10, 2014 20:39:54 UTC 2014 年 12 月 11 日 (木) 5 時 39 分 54 秒 (日本時間)
composite number 合成数
47607347508219327856874561498001500034898606436109931013725843809975675873040080141724652819383775335278779347609889256433749736243191241539105199730978141368808069364712223670615252345166179901711<197>
prime factors 素因数
3399997429976970861933194742599<31>
16538597233664093998637396213672472679<38>
846635988414860752345019624195240722905868580908047899254345632254760084857152178206451885110004506552008523238541449752171692191<129>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3340330656
Step 1 took 15976ms
Step 2 took 10245ms
********** Factor found in step 2: 3399997429976970861933194742599
Found probable prime factor of 31 digits: 3399997429976970861933194742599
--
Input number is 47607347508219327856874561498001500034898606436109931013725843809975675873040080141724652819383775335278779347609889256433749736243191241539105199730978141368808069364712223670615252345166179901711 (197 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1245110147
Step 1 took 15977ms
Step 2 took 10236ms
********** Factor found in step 2: 16538597233664093998637396213672472679
Found probable prime factor of 38 digits: 16538597233664093998637396213672472679

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 19:48:03 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 3 秒 (日本時間)

118×10202-19

c179

name 名前Cyp
date 日付December 8, 2014 22:48:50 UTC 2014 年 12 月 9 日 (火) 7 時 48 分 50 秒 (日本時間)
composite number 合成数
15618796846021414900656507528084708031877875580850714086806105439554117115651619995654179973530506691709752451412883763259443631700368116135193348470419288299247421543866208043527<179>
prime factors 素因数
337659404615599651927846590551009421847<39>
composite cofactor 合成数の残り
46256069377964650710664481287858042377159131185293201614289974059895985633066850968867849843579251110528366629103069685775660717234594647441<140>
factorization results 素因数分解の結果
Run 250 out of 280:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3732883776
Step 1 took 15963ms
Step 2 took 5615ms
********** Factor found in step 2: 337659404615599651927846590551009421847
Found probable prime factor of 39 digits: 337659404615599651927846590551009421847
Composite cofactor 46256069377964650710664481287858042377159131185293201614289974059895985633066850968867849843579251110528366629103069685775660717234594647441 has 140 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

c140

name 名前Erik Branger
date 日付September 2, 2016 05:51:26 UTC 2016 年 9 月 2 日 (金) 14 時 51 分 26 秒 (日本時間)
composite number 合成数
46256069377964650710664481287858042377159131185293201614289974059895985633066850968867849843579251110528366629103069685775660717234594647441<140>
prime factors 素因数
14256198356316914384213030319471954216719300546563801294492225128683<68>
3244628632532221286777497594496227654664186889930061876353198580869031027<73>
factorization results 素因数分解の結果
Number: 13111_202
N = 46256069377964650710664481287858042377159131185293201614289974059895985633066850968867849843579251110528366629103069685775660717234594647441 (140 digits)
Divisors found:
r1=14256198356316914384213030319471954216719300546563801294492225128683 (pp68)
r2=3244628632532221286777497594496227654664186889930061876353198580869031027 (pp73)
Version: Msieve v. 1.51 (SVN 845)
Total time: 308.02 hours.
Factorization parameters were as follows:
# Murphy_E = 2.212e-11, selected by Erik Branger
# expecting poly E from 2.15e-011 to > 2.48e-011
n: 46256069377964650710664481287858042377159131185293201614289974059895985633066850968867849843579251110528366629103069685775660717234594647441
Y0: -1825772993145039827762984802
Y1: 44486458443119
c0: 64258665651638073885706269876589105
c1: -89798735894337945332170182593
c2: -159259347837388917393071
c3: -13974349963886377
c4: -3186941444
c5: 2280
skew: 2677144.5
type: gnfs
# selected mechanically
rlim: 17900000
alim: 17900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 17900000/17900000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23147522
Relations: 3131590 relations
Pruned matrix : 1981705 x 1981930
Polynomial selection time: 0.00 hours.
Total sieving time: 303.93 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 3.63 hours.
time per square root: 0.26 hours.
Prototype def-par.txt line would be: gnfs,139,5,65,2000,1e-05,0.28,250,20,50000,3600,17900000,17900000,28,28,55,55,2.6,2.6,100000
total time: 308.02 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 8, speed: 2.29GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto 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 8, 2014 22:48:49 UTC 2014 年 12 月 9 日 (火) 7 時 48 分 49 秒 (日本時間)
2320Serge BatalovDecember 9, 2014 19:25:55 UTC 2014 年 12 月 10 日 (水) 4 時 25 分 55 秒 (日本時間)
4511e64523451Pierre JammesApril 3, 2015 05:52:33 UTC 2015 年 4 月 3 日 (金) 14 時 52 分 33 秒 (日本時間)
1000Rich DickersonOctober 14, 2015 23:06:27 UTC 2015 年 10 月 15 日 (木) 8 時 6 分 27 秒 (日本時間)
3072Ignacio SantosDecember 15, 2015 23:16:59 UTC 2015 年 12 月 16 日 (水) 8 時 16 分 59 秒 (日本時間)

118×10204-19

c153

name 名前Cyp
date 日付December 10, 2014 17:48:21 UTC 2014 年 12 月 11 日 (木) 2 時 48 分 21 秒 (日本時間)
composite number 合成数
389720772251736027322922102070055697492978991878356246698054641679274157549377784496030458844337923909264678743814359975284421553967702488680973171517519<153>
prime factors 素因数
1447142441653738454755650716209837<34>
269303671175850657999185595561436088734608401954625435142258946499838014894411280122614118634056550208201275148358894187<120>
factorization results 素因数分解の結果
Run 197 out of 280:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3191084363
Step 1 took 11556ms
Step 2 took 4507ms
********** Factor found in step 2: 1447142441653738454755650716209837
Found probable prime factor of 34 digits: 1447142441653738454755650716209837
Probable prime cofactor 269303671175850657999185595561436088734608401954625435142258946499838014894411280122614118634056550208201275148358894187 has 120 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 / 351Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6197 / 2318CypDecember 10, 2014 17:48:20 UTC 2014 年 12 月 11 日 (木) 2 時 48 分 20 秒 (日本時間)

118×10205-19

c200

name 名前Bob Backstrom
date 日付July 28, 2017 13:31:42 UTC 2017 年 7 月 28 日 (金) 22 時 31 分 42 秒 (日本時間)
composite number 合成数
54580529894611934976457058467449952776277969572834733717089964116076875473734715774897128421187403128232190754696550524387066431119301890970211010641306887308921312498927469460227699794689323692191529<200>
prime factors 素因数
4645659978103185799897635107418265706957779271<46>
11748713886050924955652542328632755068220098172683439950033205084866048483821617569451863196602913735649132426258121153666296798100623917064166147875574799<155>
factorization results 素因数分解の結果
Number: n
N=54580529894611934976457058467449952776277969572834733717089964116076875473734715774897128421187403128232190754696550524387066431119301890970211010641306887308921312498927469460227699794689323692191529
  ( 200 digits)
SNFS difficulty: 207 digits.
Divisors found:

Fri Jul 28 23:20:39 2017  prp46 factor: 4645659978103185799897635107418265706957779271
Fri Jul 28 23:20:39 2017  prp155 factor: 11748713886050924955652542328632755068220098172683439950033205084866048483821617569451863196602913735649132426258121153666296798100623917064166147875574799
Fri Jul 28 23:20:39 2017  elapsed time 05:18:54 (Msieve 1.44 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=4.355).
Factorization parameters were as follows:
#
# N = (118*10^205-1)/9 or 13(1)205<207>
#

n: 54580529894611934976457058467449952776277969572834733717089964116076875473734715774897128421187403128232190754696550524387066431119301890970211010641306887308921312498927469460227699794689323692191529
m: 100000000000000000000000000000000000000000
deg: 5
c5: 118
c0: -1
skew: 0.39
# Murphy_E = 9.185e-12
type: snfs
lss: 1
rlim: 19800000
alim: 19800000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19800000/19800000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 16300000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 6185748 hash collisions in 49714007 relations (45487547 unique)
Msieve: matrix is 2553876 x 2554101 (723.7 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 5hrs 4min 1sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 1sec.

Prototype def-par.txt line would be:snfs,207,5,0,0,0,0,0,0,0,0,19800000,19800000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.050273] smpboot: CPU0: Intel(R) Core(TM) i7-6700K CPU @ 4.00GHz (family: 0x6, model: 0x5e, stepping: 0x3)
[    0.000000] Memory: 16339156K/16705272K available (7836K kernel code, 1309K rwdata, 3448K rodata, 1528K init, 1544K bss, 366116K reserved, 0K cma-reserved)
[    0.000018] Calibrating delay loop (skipped), value calculated using timer frequency.. 8016.72 BogoMIPS (lpj=4008360)
[    0.074633] smpboot: Total of 8 processors activated (64133.76 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)
403e6280CypDecember 8, 2014 10:05:28 UTC 2014 年 12 月 8 日 (月) 19 時 5 分 28 秒 (日本時間)
4511e6591 / 4413CypJanuary 28, 2015 21:12:54 UTC 2015 年 1 月 29 日 (木) 6 時 12 分 54 秒 (日本時間)

118×10206-19

c181

name 名前Cyp
date 日付December 9, 2014 23:27:34 UTC 2014 年 12 月 10 日 (水) 8 時 27 分 34 秒 (日本時間)
composite number 合成数
2232689036072644848537610158723237775714914430264899569086676322022848752767132375916691059478869074058428856722554399597119752775278804021368589115364330255570267610703683783330109<181>
prime factors 素因数
38116306259830756310801808653<29>
composite cofactor 合成数の残り
58575692535705804113236547612816423038034748891763545155357270057686981904434413188085490413765381339611732722425181797781349795841744177533492461965553<152>
factorization results 素因数分解の結果
Run 39 out of 280:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1847552317
Step 1 took 16299ms
Step 2 took 5552ms
********** Factor found in step 2: 38116306259830756310801808653
Found probable prime factor of 29 digits: 38116306259830756310801808653
Composite cofactor 58575692535705804113236547612816423038034748891763545155357270057686981904434413188085490413765381339611732722425181797781349795841744177533492461965553 has 152 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

c152

name 名前Bob Backstrom
date 日付October 24, 2021 03:11:57 UTC 2021 年 10 月 24 日 (日) 12 時 11 分 57 秒 (日本時間)
composite number 合成数
58575692535705804113236547612816423038034748891763545155357270057686981904434413188085490413765381339611732722425181797781349795841744177533492461965553<152>
prime factors 素因数
594056129974552043349077755285906983059<39>
26208460587852233118024194917722074824633269959<47>
3762256817341850361391043519053911031174588700097078883882183566013<67>
factorization results 素因数分解の結果
#
# N = 118x10^206-1 = 131(206)
#
n: 58575692535705804113236547612816423038034748891763545155357270057686981904434413188085490413765381339611732722425181797781349795841744177533492461965553
m: 100000000000000000000000000000000000000000
deg: 5
c5: 1180
c0: -1
skew: 0.24
# Murphy_E = 7.118e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 58575692535705804113236547612816423038034748891763545155357270057686981904434413188085490413765381339611732722425181797781349795841744177533492461965553 (152 digits)
Using B1=35670000, B2=192388936756, polynomial Dickson(12), sigma=1:3964970452
Step 1 took 73858ms
Step 2 took 28125ms
********** Factor found in step 2: 594056129974552043349077755285906983059
Found prime factor of 39 digits: 594056129974552043349077755285906983059
Composite cofactor 98602959518682263160419899663448827785988460541110585439771546333987218796677166413638133131901365504391526303467 has 113 digits



CADO

STA:Sun 24 Oct 2021 12:58:14 AEDT (98,602,959,518,682,263,160,419,899,663,448,827,785,988,460,541,110,585,439,771,546,333,987,218,796,677,166,413,638,133,131,901,365,504,391,526,303,467 - C113)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 98602959518682263160419899663448827785988460541110585439771546333987218796677166413638133131901365504391526303467 2>&1 | tee -a log56

Debug:root: Looking for parameter file for c113 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c115
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c115
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.zvyoau6k
Info:Database: Opened connection to database /tmp/cado.zvyoau6k/c115.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 98602959518682263160419899663448827785988460541110585439771546333987218796677166413638133131901365504391526303467
Debug:root: Root parameter dictionary:
N = 98602959518682263160419899663448827785988460541110585439771546333987218796677166413638133131901365504391526303467
lim0 = 5484593
lim1 = 2800829
lpb0 = 26
lpb1 = 26
name = c115
...
n: 98602959518682263160419899663448827785988460541110585439771546333987218796677166413638133131901365504391526303467
skew: 778778.841
c0: -111313297005695941009070773143
c1: -77218553978205431500377
c2: -150294741778718234
c3: -410803985236
c4: 417240
Y0: -697268160730720923528041330
Y1: 155413417165707067
# MurphyE (Bf=2.80e+06,Bg=5.48e+06,area=9.40e+13) = 3.22e-09
# f(x) = 417240*x^4-410803985236*x^3-150294741778718234*x^2-77218553978205431500377*x-111313297005695941009070773143
# g(x) = 155413417165707067*x-697268160730720923528041330
...
Info:Square Root: Factors: 3762256817341850361391043519053911031174588700097078883882183566013 26208460587852233118024194917722074824633269959
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 250.81/36.3896
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 55681.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 56416/37.610/43.163/49.380/0.645
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 56416/37.400/42.334/43.980/1.018
Info:Polynomial Selection (size optimized): Total time: 1114.88
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 145.93
Info:Polynomial Selection (root optimized): Rootsieve time: 145.27
Info:Generate Factor Base: Total cpu/real time for makefb: 2.65/0.281216
Info:Generate Free Relations: Total cpu/real time for freerel: 54/3.67056
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6792853
Info:Lattice Sieving: Average J: 4090.71 for 56689 special-q, max bucket fill: 0.65029
Info:Lattice Sieving: Total CPU time: 50780.5s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 16.49/18.6923
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 18.6s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 89.97/27.9619
Info:Filtering - Singleton removal: Total cpu/real time for purge: 84.75/30.3295
Info:Filtering - Merging: Total cpu/real time for merge: 109.23/86.8902
Info:Filtering - Merging: Total cpu/real time for replay: 11.78/8.76695
Info:Linear Algebra: Total cpu/real time for bwc: 3002.25/0.000321388
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 119.17
Info:Linear Algebra: Lingen CPU time 71.39, WCT time 7.32
Info:Linear Algebra: Mksol: WCT time 71.86
Info:Quadratic Characters: Total cpu/real time for characters: 12.82/2.97079
Info:Square Root: Total cpu/real time for sqrt: 250.81/36.3896
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 55676.1/3860.28
Info:root: Cleaning up computation data in /tmp/cado.zvyoau6k
3762256817341850361391043519053911031174588700097078883882183566013 26208460587852233118024194917722074824633269959

END:Sun 24 Oct 2021 14:02:35 AEDT (98,602,959,518,682,263,160,419,899,663,448,827,785,988,460,541,110,585,439,771,546,333,987,218,796,677,166,413,638,133,131,901,365,504,391,526,303,467 - C113)

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 23:27:34 UTC 2014 年 12 月 10 日 (水) 8 時 27 分 34 秒 (日本時間)
4511e6591 / 4413CypFebruary 6, 2015 15:20:58 UTC 2015 年 2 月 7 日 (土) 0 時 20 分 58 秒 (日本時間)

118×10207-19

c167

name 名前ebina
date 日付March 7, 2023 22:27:14 UTC 2023 年 3 月 8 日 (水) 7 時 27 分 14 秒 (日本時間)
composite number 合成数
92116577936760869855275152851353944320342361948232837704687144420991063098869672504463017121093979346885924419575632653451328127045241744195488931272773490510216850767<167>
prime factors 素因数
3391339292448020513497874711737760294104076162403421528100806281151537473056473601<82>
27162300788331621142996827831882388396205266683335311652528815963432941594672757919567<86>
factorization results 素因数分解の結果
Number: 13111_207
N = 92116577936760869855275152851353944320342361948232837704687144420991063098869672504463017121093979346885924419575632653451328127045241744195488931272773490510216850767 (167 digits)
SNFS difficulty: 210 digits.
Divisors found:
r1=3391339292448020513497874711737760294104076162403421528100806281151537473056473601 (pp82)
r2=27162300788331621142996827831882388396205266683335311652528815963432941594672757919567 (pp86)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 163.42 hours.
Factorization parameters were as follows:
n: 92116577936760869855275152851353944320342361948232837704687144420991063098869672504463017121093979346885924419575632653451328127045241744195488931272773490510216850767
m: 10000000000000000000000000000000000
deg: 6
c6: 118000
c0: -1
skew: 0.14
# Murphy_E = 6.397e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [0, 0)
Total raw relations: 42368994
Relations: 6724830 relations
Pruned matrix : 4053810 x 4054038
Total sieving time: 148.68 hours.
Total relation processing time: 0.36 hours.
Matrix solve time: 12.00 hours.
time per square root: 2.38 hours.
Prototype def-par.txt line would be: snfs,210,6,0,0,0,0,0,0,0,0,21000000,21000000,29,29,57,57,2.6,2.6,100000
total time: 163.42 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
processors: 8, speed: 3.39GHz
Windows-7-6.1.7601-SP1
Running Python 3.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 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 19:48:03 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 3 秒 (日本時間)
4511e6585 / 4409CypJuly 31, 2015 16:30:32 UTC 2015 年 8 月 1 日 (土) 1 時 30 分 32 秒 (日本時間)

118×10208-19

c177

composite cofactor 合成数の残り
244717752765285890571439294379080537711958701132028532643569171065818489365528371944800126663273612467521763696780014047107904430399407640541618354895741680970572114926240711831<177>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:48:04 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 4 秒 (日本時間)
4511e6585 / 4409CypJune 28, 2015 06:50:34 UTC 2015 年 6 月 28 日 (日) 15 時 50 分 34 秒 (日本時間)

118×10210-19

c189

name 名前Cyp
date 日付July 31, 2015 15:49:14 UTC 2015 年 8 月 1 日 (土) 0 時 49 分 14 秒 (日本時間)
composite number 合成数
185878603536346489496306721590977197576878274062681483872317430593477574433619419126066084173050082543380502303185968469735447548763508208680801345960634259829930166146031625481300369290559<189>
prime factors 素因数
77078449995824012244206421508241703611<38>
composite cofactor 合成数の残り
2411550875068415314826202572044210571679109270544791247866848037546209636050554860839244627237576557961477224858465567692937907401947323596514884827469<151>
factorization results 素因数分解の結果
Run 142 out of 591:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=324133171
Step 1 took 59628ms
Step 2 took 19549ms
********** Factor found in step 2: 77078449995824012244206421508241703611
Found probable prime factor of 38 digits: 77078449995824012244206421508241703611
Composite cofactor 2411550875068415314826202572044210571679109270544791247866848037546209636050554860839244627237576557961477224858465567692937907401947323596514884827469 has 151 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

c151

name 名前Bob Backstrom
date 日付June 17, 2022 13:33:33 UTC 2022 年 6 月 17 日 (金) 22 時 33 分 33 秒 (日本時間)
composite number 合成数
2411550875068415314826202572044210571679109270544791247866848037546209636050554860839244627237576557961477224858465567692937907401947323596514884827469<151>
prime factors 素因数
6105688840064035143165572972446197696544291<43>
394967863289136020098050442659844968547996613458771792035339067022203208220840203599229464550323866681297359<108>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
Input number is 2411550875068415314826202572044210571679109270544791247866848037546209636050554860839244627237576557961477224858465567692937907401947323596514884827469 (151 digits)
Using B1=44900000, B2=240492732496, polynomial Dickson(12), sigma=1:2579841993
Step 1 took 74789ms
Step 2 took 23876ms
********** Factor found in step 2: 6105688840064035143165572972446197696544291
Found prime factor of 43 digits: 6105688840064035143165572972446197696544291
Prime cofactor 394967863289136020098050442659844968547996613458771792035339067022203208220840203599229464550323866681297359 has 108 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 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 08:12:04 UTC 2014 年 12 月 10 日 (水) 17 時 12 分 4 秒 (日本時間)
4511e6591 / 4413CypJuly 31, 2015 15:49:14 UTC 2015 年 8 月 1 日 (土) 0 時 49 分 14 秒 (日本時間)

118×10211-19

c173

composite cofactor 合成数の残り
28671485072630432177317468999432442367224138050599164201100978383030853939641583858934166196664065685836416247128288690311973172556154103972848816039265807206572057405069789<173>

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 11:09:21 UTC 2014 年 12 月 9 日 (火) 20 時 9 分 21 秒 (日本時間)
4511e6591 / 4413335CypDecember 29, 2014 08:49:21 UTC 2014 年 12 月 29 日 (月) 17 時 49 分 21 秒 (日本時間)
256CypJuly 31, 2015 10:16:20 UTC 2015 年 7 月 31 日 (金) 19 時 16 分 20 秒 (日本時間)

118×10212-19

c187

composite cofactor 合成数の残り
4017582837030463771901604346525234255674808805735462519165804045440439405302218600318586644117445095133234362352014104519339423530073396296574473337781031261327742057993186451262127252809<187>

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 15:39:56 UTC 2014 年 12 月 8 日 (月) 0 時 39 分 56 秒 (日本時間)
4511e6591 / 4413335CypJanuary 7, 2015 23:39:17 UTC 2015 年 1 月 8 日 (木) 8 時 39 分 17 秒 (日本時間)
256CypJuly 31, 2015 11:05:00 UTC 2015 年 7 月 31 日 (金) 20 時 5 分 0 秒 (日本時間)

118×10213-19

c187

composite cofactor 合成数の残り
2230216883218745941457593262676879996390603707636149392582246033568361771580644519164320959365627476077674232442785023178146944792279918897255628129520448821487504489432457709230823179477<187>

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 19:48:04 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 4 秒 (日本時間)
4511e6585 / 4409CypMay 31, 2015 20:50:33 UTC 2015 年 6 月 1 日 (月) 5 時 50 分 33 秒 (日本時間)

118×10215-19

c188

composite cofactor 合成数の残り
10766802052170830952738304020401340155046135589064391365469344618758163195988537913798796026845085555317509157341654221797507254665407309129650183262465218839188186834190785319817733063667<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:48:05 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 5 秒 (日本時間)
4511e6585 / 4409CypJuly 1, 2015 05:25:15 UTC 2015 年 7 月 1 日 (水) 14 時 25 分 15 秒 (日本時間)

118×10218-19

c196

name 名前Erik Branger
date 日付November 19, 2019 14:03:57 UTC 2019 年 11 月 19 日 (火) 23 時 3 分 57 秒 (日本時間)
composite number 合成数
1494534283229396190102990505609818328597600606334088302325225754458775530595032705917968079893867797547000074213472701940445585636575757216436435841928955584927922496614291209905879008332196997309<196>
prime factors 素因数
665733138368618396306190414151497263249484469138021083673365041515392331<72>
2244945004377817471350879052533963797945012407914320030968319625872245148613689902694277913859357224379703578816440481244439<124>
factorization results 素因数分解の結果
Number: 13111_218
N = 1494534283229396190102990505609818328597600606334088302325225754458775530595032705917968079893867797547000074213472701940445585636575757216436435841928955584927922496614291209905879008332196997309 (196 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=665733138368618396306190414151497263249484469138021083673365041515392331 (pp72)
r2=2244945004377817471350879052533963797945012407914320030968319625872245148613689902694277913859357224379703578816440481244439 (pp124)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 82.46 hours.
Factorization parameters were as follows:
n: 1494534283229396190102990505609818328597600606334088302325225754458775530595032705917968079893867797547000074213472701940445585636575757216436435841928955584927922496614291209905879008332196997309
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 59
c0: -50
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 7410528 relations
Pruned matrix : 6780884 x 6781109
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 39.45 hours.
Total relation processing time: 0.44 hours.
Matrix solve time: 42.36 hours.
time per square root: 0.20 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 82.46 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 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 08:13:00 UTC 2014 年 12 月 8 日 (月) 17 時 13 分 0 秒 (日本時間)
4511e6591 / 4413CypJune 2, 2015 09:33:06 UTC 2015 年 6 月 2 日 (火) 18 時 33 分 6 秒 (日本時間)

118×10219-19

c192

name 名前Cyp
date 日付December 9, 2014 07:01:33 UTC 2014 年 12 月 9 日 (火) 16 時 1 分 33 秒 (日本時間)
composite number 合成数
326899427787986388837949224889106583348923999346619117875414660873249031647512384850941201373669631476104790863737997225908117673698377074147451228812490284656928709307480391953276105481218549<192>
prime factors 素因数
311411180985645237917513128613<30>
1049735679860046819487312506954156551510340964904837047372974334886497147569546350358612445375067175958810505965967782518216216220362081983488500631378248259174673<163>
factorization results 素因数分解の結果
Run 139 out of 280:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3685069719
Step 1 took 15724ms
Step 2 took 5786ms
********** Factor found in step 2: 311411180985645237917513128613
Found probable prime factor of 30 digits: 311411180985645237917513128613
Probable prime cofactor 1049735679860046819487312506954156551510340964904837047372974334886497147569546350358612445375067175958810505965967782518216216220362081983488500631378248259174673 has 163 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 / 514Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6139 / 2318CypDecember 9, 2014 07:01:33 UTC 2014 年 12 月 9 日 (火) 16 時 1 分 33 秒 (日本時間)

118×10221-19

c211

name 名前Erik Branger
date 日付January 15, 2020 07:45:59 UTC 2020 年 1 月 15 日 (水) 16 時 45 分 59 秒 (日本時間)
composite number 合成数
3890267025729850689826525668210346588967937297866239886692087039540574385162890613849935143538346035998514290906618406820028036162574810604233936685890063589537493565024637616760678150609288799171726265080334871<211>
prime factors 素因数
24749232536835356192538248495475228579795457<44>
157187380252692585487111224309137278382442950898899578419516885470991987928735885889622784607239226482256537841572418029081078975356957557767002735994185856321069460503<168>
factorization results 素因数分解の結果
Number: 13111_221
N = 3890267025729850689826525668210346588967937297866239886692087039540574385162890613849935143538346035998514290906618406820028036162574810604233936685890063589537493565024637616760678150609288799171726265080334871 (211 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=24749232536835356192538248495475228579795457 (pp44)
r2=157187380252692585487111224309137278382442950898899578419516885470991987928735885889622784607239226482256537841572418029081078975356957557767002735994185856321069460503 (pp168)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 71.10 hours.
Factorization parameters were as follows:
n: 3890267025729850689826525668210346588967937297866239886692087039540574385162890613849935143538346035998514290906618406820028036162574810604233936685890063589537493565024637616760678150609288799171726265080334871
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 1180
c0: -1
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 22369622
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/22369622
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 34365063
Relations: 8858684 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 34.35 hours.
Total relation processing time: 0.38 hours.
Pruned matrix : 7508680 x 7508906
Matrix solve time: 36.13 hours.
time per square root: 0.24 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,22369622,29,28,58,56,2.8,2.8,100000
total time: 71.10 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 8, 2014 07:36:37 UTC 2014 年 12 月 8 日 (月) 16 時 36 分 37 秒 (日本時間)
4511e6591 / 4413CypJune 29, 2015 08:18:35 UTC 2015 年 6 月 29 日 (月) 17 時 18 分 35 秒 (日本時間)

118×10224-19

c195

composite cofactor 合成数の残り
162397418761705545875145593630896158478648938588723163165413552888387549692279218189379052760457870659265038226645845531414076316417338198082136254133993200371936344846338279335797744739847113647<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 14:22:48 UTC 2014 年 12 月 8 日 (月) 23 時 22 分 48 秒 (日本時間)
4511e6591 / 4413CypJanuary 30, 2015 18:30:20 UTC 2015 年 1 月 31 日 (土) 3 時 30 分 20 秒 (日本時間)

118×10226-19

c184

composite cofactor 合成数の残り
1174027937795072382450295430163191085812056233194720202002064310538787928924413165124517251055380209840197333500479111416545316138652710830073462618022125839756072833494681251782823703<184>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6580280CypDecember 10, 2014 14:08:58 UTC 2014 年 12 月 10 日 (水) 23 時 8 分 58 秒 (日本時間)
300Serge BatalovDecember 10, 2014 19:48:05 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 5 秒 (日本時間)
4511e6504 / 4347CypJuly 31, 2015 16:33:04 UTC 2015 年 8 月 1 日 (土) 1 時 33 分 4 秒 (日本時間)

118×10227-19

c178

composite cofactor 合成数の残り
7381835588347804785114483976371842921880052844934345246487982073373130482463042807514483992752504652626901196457310599319030554890828642835554279149034977075422858115926005868331<178>

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)
403e6580280CypDecember 10, 2014 18:52:31 UTC 2014 年 12 月 11 日 (木) 3 時 52 分 31 秒 (日本時間)
300Serge BatalovDecember 10, 2014 19:48:06 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 6 秒 (日本時間)
4511e6504 / 4347CypJune 16, 2015 20:36:04 UTC 2015 年 6 月 17 日 (水) 5 時 36 分 4 秒 (日本時間)

118×10229-19

c204

name 名前Cyp
date 日付February 9, 2015 07:41:00 UTC 2015 年 2 月 9 日 (月) 16 時 41 分 0 秒 (日本時間)
composite number 合成数
130265241540542025871385632977125230206071944067665081935430522454338706375000065581489778978646438049826541541974281031955476038674881487938591362479394275215551730711193515037074253900636054426437597321<204>
prime factors 素因数
77387697861820257428096426748016901<35>
1683281001240498991182989871680486141406426252184495540922934640369788715784762063209763999848866274753661286649263212971009313555287092741718546572325759638045596682421<169>
factorization results 素因数分解の結果
Run 46 out of 591:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3064314716
Step 1 took 69324ms
Step 2 took 21491ms
********** Factor found in step 2: 77387697861820257428096426748016901
Found probable prime factor of 35 digits: 77387697861820257428096426748016901
Probable prime cofactor 1683281001240498991182989871680486141406426252184495540922934640369788715784762063209763999848866274753661286649263212971009313555287092741718546572325759638045596682421 has 169 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 / 2160CypDecember 7, 2014 21:22:27 UTC 2014 年 12 月 8 日 (月) 6 時 22 分 27 秒 (日本時間)
4511e646 / 4413CypFebruary 9, 2015 07:40:59 UTC 2015 年 2 月 9 日 (月) 16 時 40 分 59 秒 (日本時間)

118×10230-19

c199

name 名前Cyp
date 日付December 10, 2014 07:15:06 UTC 2014 年 12 月 10 日 (水) 16 時 15 分 6 秒 (日本時間)
composite number 合成数
7550157973782994765468264991654859439421583592445902171138915054810888133087815249500381398443802076693695086282201193130085812768586680772139346431725722299009864610870853416686463824602400812738243<199>
prime factors 素因数
764738647536611683653575665939969<33>
9872860483910004980721814406886458759157778860197520219202710315874330706170874329226585927255223654233246231098909908382469303556604573364551279787251159465716401347<166>
factorization results 素因数分解の結果
Input number is 7550157973782994765468264991654859439421583592445902171138915054810888133087815249500381398443802076693695086282201193130085812768586680772139346431725722299009864610870853416686463824602400812738243 (199 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=56559465
Step 1 took 18749ms
Step 2 took 6166ms
********** Factor found in step 2: 764738647536611683653575665939969
Found probable prime factor of 33 digits: 764738647536611683653575665939969
Probable prime cofactor 9872860483910004980721814406886458759157778860197520219202710315874330706170874329226585927255223654233246231098909908382469303556604573364551279787251159465716401347 has 166 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 / 902Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e61 / 2318CypDecember 10, 2014 07:15:05 UTC 2014 年 12 月 10 日 (水) 16 時 15 分 5 秒 (日本時間)

118×10232-19

c202

composite cofactor 合成数の残り
1768683503513342918259395190895056258389111633276176588319482294587695031349373787796106238401750787189177947947071970311627786470198969702930271473510088663134805290697901600463591830401926203974519679<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)
403e6280CypDecember 8, 2014 17:22:02 UTC 2014 年 12 月 9 日 (火) 2 時 22 分 2 秒 (日本時間)
4511e6591 / 4413CypJune 7, 2015 09:28:21 UTC 2015 年 6 月 7 日 (日) 18 時 28 分 21 秒 (日本時間)

118×10233-19

c208

name 名前Cyp
date 日付July 31, 2015 13:49:26 UTC 2015 年 7 月 31 日 (金) 22 時 49 分 26 秒 (日本時間)
composite number 合成数
1065110697363407265520317785581047535244879338506233141370617738127120293346599682341627610835193543638811061393786755433614915174866952980290886086610614759212157984647057009895376332299392421451104074514131<208>
prime factors 素因数
1587211489927802550553122703164562262271769<43>
671057829484245939550524446471452611464341470658127027387177212567719548810338985938139633723678139245984463039652946852158669200637805279362294273371865492329361099<165>
factorization results 素因数分解の結果
Run 330 out of 591:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3677027276
Step 1 took 69262ms
Step 2 took 21662ms
********** Factor found in step 2: 1587211489927802550553122703164562262271769
Found probable prime factor of 43 digits: 1587211489927802550553122703164562262271769
Probable prime cofactor 671057829484245939550524446471452611464341470658127027387177212567719548810338985938139633723678139245984463039652946852158669200637805279362294273371865492329361099 has 165 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 / 1180CypDecember 7, 2014 08:35:07 UTC 2014 年 12 月 7 日 (日) 17 時 35 分 7 秒 (日本時間)
4511e6330 / 4413CypJuly 31, 2015 13:49:25 UTC 2015 年 7 月 31 日 (金) 22 時 49 分 25 秒 (日本時間)

118×10234-19

c197

composite cofactor 合成数の残り
20810726569961019365431395437333882546572938689322603119951947183165093760651714922281423660113490984930862955332096536224966490520661604950124509072112939862926857717614169194569580641523447607939<197>

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 19:48:06 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 6 秒 (日本時間)
4511e6585 / 4409CypJune 19, 2015 21:13:43 UTC 2015 年 6 月 20 日 (土) 6 時 13 分 43 秒 (日本時間)

118×10235-19

c132

name 名前Erik Branger
date 日付March 6, 2015 15:17:28 UTC 2015 年 3 月 7 日 (土) 0 時 17 分 28 秒 (日本時間)
composite number 合成数
318956860450135816152897442555525448689735246927118552099669461330759619632118386426953929496597594558257574542590441535956488936851<132>
prime factors 素因数
812405495396929125702996375933349175462722540132901<51>
392607955334298032656725779779783638758032678740548608002794885570654032873348951<81>
factorization results 素因数分解の結果
Number: 13111_235
N = 318956860450135816152897442555525448689735246927118552099669461330759619632118386426953929496597594558257574542590441535956488936851 (132 digits)
Divisors found:
r1=812405495396929125702996375933349175462722540132901 (pp51)
r2=392607955334298032656725779779783638758032678740548608002794885570654032873348951 (pp81)
Version: Msieve v. 1.52 (SVN 958)
Total time: 61.81 hours.
Factorization parameters were as follows:
# Murphy_E = 6.74e-11, selected by Erik Branger
# expecting poly E from 6.74e-011 to > 7.75e-011
n: 318956860450135816152897442555525448689735246927118552099669461330759619632118386426953929496597594558257574542590441535956488936851
Y0: -31779513649806234213015408
Y1: 50378559861839
c0: 29906421533648482773596093646445
c1: 621805696885696842681514317
c2: -1509680940640738032479
c3: -16691284310472345
c4: 8815298566
c5: 9840
skew: 452476.63
type: gnfs
# selected mechanically
rlim: 10700000
alim: 10700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 10700000/10700000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 19662796
Relations: 2682040 relations
Pruned matrix : 1574407 x 1574636
Polynomial selection time: 0.00 hours.
Total sieving time: 60.47 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.98 hours.
time per square root: 0.27 hours.
Prototype def-par.txt line would be: gnfs,131,5,65,2000,1e-05,0.28,250,20,50000,3600,10700000,10700000,28,28,54,54,2.6,2.6,100000
total time: 61.81 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 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 00:57:24 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 24 秒 (日本時間)

118×10236-19

c219

composite cofactor 合成数の残り
590135757261268099629617928588396938556678050386772375629282347632080342376438583690244732919345220756161781938222782087295953855929531794574178104569962688073941665010010538058979006466199414748600962239554456776985751<219>

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 12:20:21 UTC 2014 年 12 月 8 日 (月) 21 時 20 分 21 秒 (日本時間)
4511e6591 / 4413CypJune 5, 2015 06:39:46 UTC 2015 年 6 月 5 日 (金) 15 時 39 分 46 秒 (日本時間)

118×10240-19

c216

name 名前Cyp
date 日付December 8, 2014 18:12:29 UTC 2014 年 12 月 9 日 (火) 3 時 12 分 29 秒 (日本時間)
composite number 合成数
209241861353756874917007699082932382198790853029977815151623726722068144948706300584425858964321626009002043847569667878829713042950576710297504851704070601912479841967390454632022570399802384772385588581411961075659<216>
prime factors 素因数
353263403822346327579344198471<30>
592311173729682823714949312018360966032820151203282671362881437241580570608496502623105343769557850778683962500733240779837910958568031596481533602638345657526155327136990012748366920029<186>
factorization results 素因数分解の結果
Run 48 out of 280:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=266219196
Step 1 took 21871ms
Step 2 took 6873ms
********** Factor found in step 2: 353263403822346327579344198471
Found probable prime factor of 30 digits: 353263403822346327579344198471
Probable prime cofactor 592311173729682823714949312018360966032820151203282671362881437241580570608496502623105343769557850778683962500733240779837910958568031596481533602638345657526155327136990012748366920029 has 186 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 / 770Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e648 / 2318CypDecember 8, 2014 18:12:29 UTC 2014 年 12 月 9 日 (火) 3 時 12 分 29 秒 (日本時間)

118×10241-19

c237

name 名前Serge Batalov
date 日付December 9, 2014 01:26:54 UTC 2014 年 12 月 9 日 (火) 10 時 26 分 54 秒 (日本時間)
composite number 合成数
141340944662983896594964884560981251123690455186116677908062985837038442461119561622675495444928716850607532490150752095529230205709766910815181502734528047613212599419280366173662264854484107348687032459427063700567052683160196665144257<237>
prime factors 素因数
25144699925319755821102413287731<32>
composite cofactor 合成数の残り
5621102859957336167513564108886560921490473505695266754346800313850795512594427013291992824202867518784242723210950709716577069392593439169368665727100443278247379459417245278250222492683208922161818373947<205>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1391627407
Step 1 took 20998ms
Step 2 took 13093ms
********** Factor found in step 2: 25144699925319755821102413287731
Found probable prime factor of 32 digits: 25144699925319755821102413287731
Composite cofactor 

c205

name 名前Serge Batalov
date 日付December 10, 2014 03:43:08 UTC 2014 年 12 月 10 日 (水) 12 時 43 分 8 秒 (日本時間)
composite number 合成数
5621102859957336167513564108886560921490473505695266754346800313850795512594427013291992824202867518784242723210950709716577069392593439169368665727100443278247379459417245278250222492683208922161818373947<205>
prime factors 素因数
12817974042490739602065001438339483533281<41>
composite cofactor 合成数の残り
438532863409127718736859581334588330557560879955930434426820786663404414661513964277186167283332357437076533063858462434072650001828219547737323489055844157858898587<165>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=198001830
Step 1 took 17520ms
Step 2 took 13057ms
********** Factor found in step 2: 12817974042490739602065001438339483533281
Found probable prime factor of 41 digits: 12817974042490739602065001438339483533281

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 00:57:57 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 57 秒 (日本時間)
4511e60--
5043e61250 / 7465Serge BatalovFebruary 5, 2015 03:33:03 UTC 2015 年 2 月 5 日 (木) 12 時 33 分 3 秒 (日本時間)

118×10243-19

c211

composite cofactor 合成数の残り
8695770857351382421460322226794098132860483797225659334315569804876966596989723783825491903730163030957363491538987865591599910801513079657559276768080417621628930281134988052080922242757019585879292277624925707<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:48:06 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 6 秒 (日本時間)
4511e6585 / 4409CypJune 22, 2015 13:17:52 UTC 2015 年 6 月 22 日 (月) 22 時 17 分 52 秒 (日本時間)

118×10244-19

c210

composite cofactor 合成数の残り
221038888331418540900968696575512833625612914717902859834166231874784239050696393795284233732846124047524872011334729502066816305607006883000123328873914846973422999616482962469187276957477396205083408390182733<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:48:07 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 7 秒 (日本時間)
4511e6585 / 4409CypJuly 7, 2015 05:28:41 UTC 2015 年 7 月 7 日 (火) 14 時 28 分 41 秒 (日本時間)

118×10245-19

c207

composite cofactor 合成数の残り
755301104632037675243676353166001401908663771046459103662098150292683385456156346479181668690440450149902121616715176475987140844139969666974803247450122981085922984379700561250390627432804944208303544892353<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:48:07 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 7 秒 (日本時間)
4511e6585 / 4409CypJuly 31, 2015 07:40:01 UTC 2015 年 7 月 31 日 (金) 16 時 40 分 1 秒 (日本時間)

118×10246-19

c103

name 名前Dmitry Domanov
date 日付December 7, 2014 13:26:56 UTC 2014 年 12 月 7 日 (日) 22 時 26 分 56 秒 (日本時間)
composite number 合成数
1875393774108329709476115228852095545818916271397612313091644840947599639575124561972039644029798130289<103>
prime factors 素因数
112053609647760779710483239233614664357<39>
16736576179951794979371342448719505708987135948108713809865376477<65>
factorization results 素因数分解の結果
N=1875393774108329709476115228852095545818916271397612313091644840947599639575124561972039644029798130289
  ( 103 digits)
Divisors found:
 r1=112053609647760779710483239233614664357 (pp39)
 r2=16736576179951794979371342448719505708987135948108713809865376477 (pp65)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 4.09 hours.
Scaled time: 8.77 units (timescale=2.146).
Factorization parameters were as follows:
n: 1875393774108329709476115228852095545818916271397612313091644840947599639575124561972039644029798130289
skew: 2852340.00
c0: 8063962693932538219976886065
c1: 25057142375990843716062
c2: -31599113143151525
c3: -8173041810
c4: 1224
Y0: -6256462543875582679293288
Y1: 9370632119515
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, 1610001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 286295 x 286535
Total sieving time: 3.94 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.02 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: 4.09 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)

118×10247-19

c196

composite cofactor 合成数の残り
2168881525888487941822710201032903792219862444583843013642287004628389850551213599125494693925745985132946655630172269432543037028781808281648522912060527522447315849339002871765287851210305495769<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)
403e6300Serge BatalovDecember 10, 2014 19:48:08 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 8 秒 (日本時間)
4511e6585 / 4409329CypJanuary 8, 2015 06:13:47 UTC 2015 年 1 月 8 日 (木) 15 時 13 分 47 秒 (日本時間)
256CypJanuary 26, 2015 13:56:25 UTC 2015 年 1 月 26 日 (月) 22 時 56 分 25 秒 (日本時間)

118×10250-19

c226

composite cofactor 合成数の残り
4101505911703479940606861091350246341878481307152488364758013648013089636759530075437203601960425850851611981722637699814234704617633525748655458023806489717448770027174646125197221514095296385753079743388996618786937350748467<226>

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 19:48:08 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 8 秒 (日本時間)
1000Dmitry DomanovDecember 17, 2014 13:30:43 UTC 2014 年 12 月 17 日 (水) 22 時 30 分 43 秒 (日本時間)
4511e6600 / 4188Dmitry DomanovApril 27, 2015 14:05:16 UTC 2015 年 4 月 27 日 (月) 23 時 5 分 16 秒 (日本時間)

118×10251-19

c252

composite cofactor 合成数の残り
437037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovNovember 14, 2015 01:04:44 UTC 2015 年 11 月 14 日 (土) 10 時 4 分 44 秒 (日本時間)
4511e64320800Dmitry DomanovFebruary 4, 2016 17:57:18 UTC 2016 年 2 月 5 日 (金) 2 時 57 分 18 秒 (日本時間)
3520ebinaFebruary 11, 2023 09:34:57 UTC 2023 年 2 月 11 日 (土) 18 時 34 分 57 秒 (日本時間)

118×10252-19

c224

name 名前KTakahashi
date 日付November 13, 2015 22:32:04 UTC 2015 年 11 月 14 日 (土) 7 時 32 分 4 秒 (日本時間)
composite number 合成数
17696420787025089040183832655666278452654712339687328763642888498581219665760844464777483903075221467343586529500231745285071074997851441478863944333144764389941478322663898161592776613089384130030041001185644165309908027249<224>
prime factors 素因数
12297750048425363928043647716323<32>
composite cofactor 合成数の残り
1438996622743278558485482127116612410393564382383721519235878289250605977409002574529602792220728714915361463399676533051990551797232273984732426375568577125014031781685524320686927020611774363<193>
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 17696420787025089040183832655666278452654712339687328763642888498581219665760844464777483903075221467343586529500231745285071074997851441478863944333144764389941478322663898161592776613089384130030041001185644165309908027249 (224 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3114567638
Step 1 took 7129ms
Step 2 took 3760ms
********** Factor found in step 2: 12297750048425363928043647716323
Found probable prime factor of 32 digits: 12297750048425363928043647716323
Composite cofactor 1438996622743278558485482127116612410393564382383721519235878289250605977409002574529602792220728714915361463399676533051990551797232273984732426375568577125014031781685524320686927020611774363 has 193 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e6325KTakahashiNovember 13, 2015 22:31:18 UTC 2015 年 11 月 14 日 (土) 7 時 31 分 18 秒 (日本時間)
403e6600Dmitry DomanovMarch 4, 2016 08:03:32 UTC 2016 年 3 月 4 日 (金) 17 時 3 分 32 秒 (日本時間)
4511e6600 / 4331Dmitry DomanovJanuary 10, 2017 14:15:43 UTC 2017 年 1 月 10 日 (火) 23 時 15 分 43 秒 (日本時間)

118×10253-19

c255

name 名前Dmitry Domanov
date 日付February 8, 2016 06:32:21 UTC 2016 年 2 月 8 日 (月) 15 時 32 分 21 秒 (日本時間)
composite number 合成数
131111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<255>
prime factors 素因数
118267312139315569157707824446290051<36>
218496870518199607224086395593423104357<39>
composite cofactor 合成数の残り
5073755675231453042890173658192995517631469766198333254151671206165286628967544683203699507348965678920352491938097926077072246757767036181689461173730360679877827084934828415700073<181>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=441118244
Step 1 took 133971ms
Step 2 took 38948ms
********** Factor found in step 2: 118267312139315569157707824446290051
Found probable prime factor of 36 digits: 118267312139315569157707824446290051

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1200603316
Step 1 took 104774ms
Step 2 took 31639ms
********** Factor found in step 2: 218496870518199607224086395593423104357
Found probable prime factor of 39 digits: 218496870518199607224086395593423104357

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovNovember 14, 2015 01:05:04 UTC 2015 年 11 月 14 日 (土) 10 時 5 分 4 秒 (日本時間)
4511e6800 / 4305Dmitry DomanovFebruary 5, 2016 14:34:05 UTC 2016 年 2 月 5 日 (金) 23 時 34 分 5 秒 (日本時間)

118×10254-19

c251

composite cofactor 合成数の残り
13166542254000453018318230863044528576417830176152714037207755762872805622783027657549394060104149580846474769892357938030218330281596632935770705782455247703944718375471847589462749285603501853916097883199380503028862622752900823578376074384268883109<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovNovember 14, 2015 01:05:21 UTC 2015 年 11 月 14 日 (土) 10 時 5 分 21 秒 (日本時間)
4511e64320800Dmitry DomanovFebruary 5, 2016 14:33:47 UTC 2016 年 2 月 5 日 (金) 23 時 33 分 47 秒 (日本時間)
3520ebinaFebruary 11, 2023 22:29:11 UTC 2023 年 2 月 12 日 (日) 7 時 29 分 11 秒 (日本時間)

118×10255-19

c240

composite cofactor 合成数の残り
811432264974960164943561477358753297848113084073753003760347015018095402664361239967466411686977161554105281183229487242750198289475742595977891955102635090780140356418325111359324524768680367158281925810574601639928487588811367448543727449<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62950600Dmitry DomanovNovember 14, 2015 01:05:45 UTC 2015 年 11 月 14 日 (土) 10 時 5 分 45 秒 (日本時間)
2350Ignacio SantosDecember 24, 2021 09:21:29 UTC 2021 年 12 月 24 日 (金) 18 時 21 分 29 秒 (日本時間)

118×10256-19

c258

composite cofactor 合成数の残り
131111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovNovember 14, 2015 01:06:00 UTC 2015 年 11 月 14 日 (土) 10 時 6 分 0 秒 (日本時間)
4511e6800Dmitry DomanovFebruary 5, 2016 14:30:05 UTC 2016 年 2 月 5 日 (金) 23 時 30 分 5 秒 (日本時間)
5043e65400600Dmitry DomanovFebruary 8, 2016 14:40:27 UTC 2016 年 2 月 8 日 (月) 23 時 40 分 27 秒 (日本時間)
2400Dmitry DomanovJanuary 1, 2017 11:45:03 UTC 2017 年 1 月 1 日 (日) 20 時 45 分 3 秒 (日本時間)
2400Dmitry DomanovFebruary 20, 2017 15:07:08 UTC 2017 年 2 月 21 日 (火) 0 時 7 分 8 秒 (日本時間)
5511e7825 / 15787200Dmitry DomanovFebruary 13, 2016 20:56:12 UTC 2016 年 2 月 14 日 (日) 5 時 56 分 12 秒 (日本時間)
625Dmitry DomanovFebruary 25, 2017 16:36:03 UTC 2017 年 2 月 26 日 (日) 1 時 36 分 3 秒 (日本時間)

118×10257-19

c217

name 名前Dmitry Domanov
date 日付November 14, 2015 09:26:54 UTC 2015 年 11 月 14 日 (土) 18 時 26 分 54 秒 (日本時間)
composite number 合成数
3251852922783795843443963745995400527217512348339487358537966104314972062559895940544715502878227681258241623693746671451509438583779147781653996956387403995318503776696572548875144863464750258934148052996034393606609<217>
prime factors 素因数
20193216370127884693386900211534493<35>
161036897895785865297128176850085414826766436724066429225369300435947201136871276921576005033712630123236375896094537464071926552217497981574741222998738651747687726317179425782377413<183>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=569302774
Step 1 took 40549ms
Step 2 took 13241ms
********** Factor found in step 2: 20193216370127884693386900211534493
Found probable prime factor of 35 digits: 20193216370127884693386900211534493

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 14, 2015 01:06:14 UTC 2015 年 11 月 14 日 (土) 10 時 6 分 14 秒 (日本時間)

118×10259-19

c220

composite cofactor 合成数の残り
7458454825605861738074059840616885955629826303243750923066286342491053089525115823576704519437632193209824435698256872097573059598497530135158600467377255493079716452111634881270028109876177387587475382641481110343694877<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62950600Dmitry DomanovNovember 14, 2015 01:06:29 UTC 2015 年 11 月 14 日 (土) 10 時 6 分 29 秒 (日本時間)
2350Ignacio SantosDecember 24, 2021 09:41:37 UTC 2021 年 12 月 24 日 (金) 18 時 41 分 37 秒 (日本時間)

118×10260-19

c252

composite cofactor 合成数の残り
487094171146185590872587161887213149585757265681494606745784686826185282903582329677207498089258667188451189331879039878225717490780132820345714887354253378167414361812703196320533000098770355437499598041530938840777311758726646241017380240636915028913<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62950600Dmitry DomanovNovember 14, 2015 01:06:41 UTC 2015 年 11 月 14 日 (土) 10 時 6 分 41 秒 (日本時間)
2350Ignacio SantosDecember 24, 2021 10:02:32 UTC 2021 年 12 月 24 日 (金) 19 時 2 分 32 秒 (日本時間)

118×10261-19

c253

composite cofactor 合成数の残り
1220785905086166106817028399367124280374734006100336711129588893464436878289219569790280395957865651136354116714179792206957818495828852710112529685199983698489919256161567925825666497075678433762487306527187957253252536025409724278634139531757133764447<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62950600Dmitry DomanovNovember 14, 2015 01:06:54 UTC 2015 年 11 月 14 日 (土) 10 時 6 分 54 秒 (日本時間)
2350Ignacio SantosDecember 24, 2021 10:16:33 UTC 2021 年 12 月 24 日 (金) 19 時 16 分 33 秒 (日本時間)

118×10263-19

c226

name 名前Dmitry Domanov
date 日付November 14, 2015 09:27:27 UTC 2015 年 11 月 14 日 (土) 18 時 27 分 27 秒 (日本時間)
composite number 合成数
4743229223609195521259275606535203968818397345626988426976572881432882026631367143522529474051860616095361292168842005282862566443554384243712489992309428787823099718112182263938423175276954305729721189415160668385182528736053<226>
prime factors 素因数
15579406008126034372432304335379<32>
304455074932586204987252227275819066886433138360663770284296585288081449442177102146021156085849381951309591721698342954018680955861726999246032107346179018268107228769257461267151070646546259607<195>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2225013205
Step 1 took 42918ms
********** Factor found in step 1: 15579406008126034372432304335379
Found probable prime factor of 32 digits: 15579406008126034372432304335379

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 14, 2015 01:07:05 UTC 2015 年 11 月 14 日 (土) 10 時 7 分 5 秒 (日本時間)

118×10265-19

c231

composite cofactor 合成数の残り
148322694043688442206237428609031227886849396667988320621335803932154112694825189164628787959841813495920443635055819027973442005975192129535067007056293840316267987461049959882137296618288652215990340758587034041753437348409003259<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62950600Dmitry DomanovNovember 14, 2015 01:07:19 UTC 2015 年 11 月 14 日 (土) 10 時 7 分 19 秒 (日本時間)
2350Ignacio SantosDecember 24, 2021 10:40:02 UTC 2021 年 12 月 24 日 (金) 19 時 40 分 2 秒 (日本時間)

118×10266-19

c247

composite cofactor 合成数の残り
6921136840913726060961815548132382353206265215951358797024642937913189145809526757269066847510783543874433098346212347954717441849348160618947841240577525229534528918728552764896543934003717389450667962637712557581747309144164300534010051682544919<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62950600Dmitry DomanovNovember 14, 2015 01:07:34 UTC 2015 年 11 月 14 日 (土) 10 時 7 分 34 秒 (日本時間)
2350Ignacio SantosDecember 24, 2021 10:49:55 UTC 2021 年 12 月 24 日 (金) 19 時 49 分 55 秒 (日本時間)

118×10267-19

c236

composite cofactor 合成数の残り
16134503895433090850697488875636111501955047392942366401231775453447801662946397897940175895792662399767700703265101351873181877998612200336476481860215800018781578903265490959287359899607282101858220748462379989587443409789353343940333<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62950600Dmitry DomanovNovember 14, 2015 01:07:48 UTC 2015 年 11 月 14 日 (土) 10 時 7 分 48 秒 (日本時間)
2350Ignacio SantosDecember 24, 2021 11:02:55 UTC 2021 年 12 月 24 日 (金) 20 時 2 分 55 秒 (日本時間)

118×10268-19

c253

composite cofactor 合成数の残り
2145174728405031333828843311628701904225849307250296224986089072031993189906680313123971283985316450147073843259596552799289927892281492286007200365790883063456211076977263268265542675138564963145114527288099119712670349279438314111203807398165837543467<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62950600Dmitry DomanovNovember 14, 2015 01:08:15 UTC 2015 年 11 月 14 日 (土) 10 時 8 分 15 秒 (日本時間)
2350Ignacio SantosDecember 24, 2021 11:33:31 UTC 2021 年 12 月 24 日 (金) 20 時 33 分 31 秒 (日本時間)

118×10269-19

c240

composite cofactor 合成数の残り
609651211991142499971380945020078039716589858252945463415594061193212674576264556312309793095800015080047048932416743189384326379118816575103167326288501005887464161634360868585259706532911769069566610740241137309905309981506885348969317209<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62950600Dmitry DomanovNovember 14, 2015 01:08:27 UTC 2015 年 11 月 14 日 (土) 10 時 8 分 27 秒 (日本時間)
2350Ignacio SantosDecember 24, 2021 11:55:43 UTC 2021 年 12 月 24 日 (金) 20 時 55 分 43 秒 (日本時間)

118×10270-19

c249

composite cofactor 合成数の残り
121797795467746156616760404416556091208881678495580360269714693742526865387145350887207342683398726548159204944500167888236845514155762663747730505972637515039241534731018574218288529217750317642189402250558746541025815611896637634996202553317628781<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62950600Dmitry DomanovNovember 14, 2015 01:08:41 UTC 2015 年 11 月 14 日 (土) 10 時 8 分 41 秒 (日本時間)
2350Ignacio SantosDecember 24, 2021 11:55:56 UTC 2021 年 12 月 24 日 (金) 20 時 55 分 56 秒 (日本時間)

118×10271-19

c260

name 名前Dmitry Domanov
date 日付November 14, 2015 09:33:05 UTC 2015 年 11 月 14 日 (土) 18 時 33 分 5 秒 (日本時間)
composite number 合成数
82618549387636030889833243381544243175792704191699452383482836091215469356956832635770432255564946241828766829506733297026364131329388182782835125826310691251729434670832951511071070519552048485345350950995035975266151903346288174580151109025665769381014563859<260>
prime factors 素因数
2687463030646550501356830912457901<34>
30742208709661632233052590545197769826793003168029158440554162027576513448005609569016128995041749331532470757008163887675936717971446910860178459852533367436500848755424478566164151475684299151328361657190909716508188544717759<227>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=729103737
Step 1 took 43014ms
Step 2 took 14090ms
********** Factor found in step 2: 2687463030646550501356830912457901
Found probable prime factor of 34 digits: 2687463030646550501356830912457901

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 14, 2015 01:08:53 UTC 2015 年 11 月 14 日 (土) 10 時 8 分 53 秒 (日本時間)

118×10272-19

c224

composite cofactor 合成数の残り
61158960030207347071001741019787231479745537377988883544137426737851202614489820487100982903831147568227238762903887104636215521378734614788299222093577425577673743195239108741239352456510981698630563245309705771880273449197<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62950600Dmitry DomanovNovember 14, 2015 01:09:06 UTC 2015 年 11 月 14 日 (土) 10 時 9 分 6 秒 (日本時間)
2350Ignacio SantosDecember 24, 2021 12:22:30 UTC 2021 年 12 月 24 日 (金) 21 時 22 分 30 秒 (日本時間)

118×10273-19

c246

composite cofactor 合成数の残り
502310244071555580672397865430956039948617023872629381647213529020669175169517009430520144012425250994436179400584666362215281634620516061263720138911228982125487626038585358375043804697102744070690927290683825339633085105448867573929976618650031<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62950600Dmitry DomanovNovember 14, 2015 01:09:23 UTC 2015 年 11 月 14 日 (土) 10 時 9 分 23 秒 (日本時間)
2350Ignacio SantosDecember 24, 2021 12:26:56 UTC 2021 年 12 月 24 日 (金) 21 時 26 分 56 秒 (日本時間)

118×10274-19

c276

name 名前Dmitry Domanov
date 日付January 25, 2016 06:13:43 UTC 2016 年 1 月 25 日 (月) 15 時 13 分 43 秒 (日本時間)
composite number 合成数
131111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<276>
prime factors 素因数
72948385423388097435568492204639368379799<41>
composite cofactor 合成数の残り
1797313406597692428643537189006648840520280138429831799651729023795496918632579039989970781608624318380310414569017531642519525506620528537819125505409780820763630276072369082438291501762805922531295342536976776967715765751755956491089<235>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=460712149
Step 1 took 125223ms
Step 2 took 35593ms
********** Factor found in step 2: 72948385423388097435568492204639368379799
Found probable prime factor of 41 digits: 72948385423388097435568492204639368379799

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovNovember 14, 2015 01:09:39 UTC 2015 年 11 月 14 日 (土) 10 時 9 分 39 秒 (日本時間)
4511e6800 / 4305Dmitry DomanovJanuary 23, 2016 15:36:05 UTC 2016 年 1 月 24 日 (日) 0 時 36 分 5 秒 (日本時間)

118×10276-19

c223

name 名前Ignacio Santos
date 日付December 24, 2021 12:47:17 UTC 2021 年 12 月 24 日 (金) 21 時 47 分 17 秒 (日本時間)
composite number 合成数
5453775148961099650295859820538720580618999849175134702067679811718646529649615651407225617848063725381400779774623896239139502571082834272623777950174716820913135644268185231629716457054183980599508573481085041497398529963<223>
prime factors 素因数
497011906761009068380137590859598444009271887<45>
10973127755636602234157785062020820828957525194184792434196287560314029081516703799716042505761638157485522498755199852890091020346053919299580748460976824054254701778519165272549<179>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2671341027
Step 1 took 11562ms
Step 2 took 5125ms
********** Factor found in step 2: 497011906761009068380137590859598444009271887
Found prime factor of 45 digits: 497011906761009068380137590859598444009271887
Prime cofactor 10973127755636602234157785062020820828957525194184792434196287560314029081516703799716042505761638157485522498755199852890091020346053919299580748460976824054254701778519165272549 has 179 digits
 
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 14, 2015 01:09:55 UTC 2015 年 11 月 14 日 (土) 10 時 9 分 55 秒 (日本時間)

118×10277-19

c246

composite cofactor 合成数の残り
205774073588370687712025812057548430838932614366873476017569284591578105657082264517781283121996077226950633035628302148050351551309390763410271090766090585288161844209444140295754938168698731158038833703247845512616812980935565727948516978862881<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62950600Dmitry DomanovNovember 14, 2015 01:10:09 UTC 2015 年 11 月 14 日 (土) 10 時 10 分 9 秒 (日本時間)
2350Ignacio SantosDecember 24, 2021 13:05:55 UTC 2021 年 12 月 24 日 (金) 22 時 5 分 55 秒 (日本時間)

118×10278-19

c267

name 名前KTakahashi
date 日付November 14, 2015 05:02:49 UTC 2015 年 11 月 14 日 (土) 14 時 2 分 49 秒 (日本時間)
composite number 合成数
673841047757367011987551430472220658872345498938398637767092049503168610338981649848690968830626735506531883492683909569759144222761385775536802911342373279199616868963683330772134740945794892950209894606456466962839991881878485040007875397886714703178177916165635781<267>
prime factors 素因数
15305860251995752281400095983<29>
composite cofactor 合成数の残り
44025035944615001045914084602670350815239420717640734755458376066387483440606067127418513369255191864508454707674971759672738298306737710642011689600855921534208405957521045410396854051640341577975940513940944227092755865916756180858343307<239>
factorization results 素因数分解の結果
Input number is (118*10^278-1)/9/3/4603/140902859 (267 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=760675123
Step 1 took 10015ms
Step 2 took 5086ms
********** Factor found in step 2: 15305860251995752281400095983
Found probable prime factor of 29 digits: 15305860251995752281400095983
Composite cofactor ((118*10^278-1)/9/3/4603/140902859)/15305860251995752281400095983 has 239 digits
software ソフトウェア
GMP-ECM 6.4.4

c239

name 名前Dmitry Domanov
date 日付November 14, 2015 16:16:06 UTC 2015 年 11 月 15 日 (日) 1 時 16 分 6 秒 (日本時間)
composite number 合成数
44025035944615001045914084602670350815239420717640734755458376066387483440606067127418513369255191864508454707674971759672738298306737710642011689600855921534208405957521045410396854051640341577975940513940944227092755865916756180858343307<239>
prime factors 素因数
485248277538283610539389083122481155931<39>
composite cofactor 合成数の残り
90726825797216045927372646950346556586138021346604641947603993447623485302762259405655041377107568637013238650633458911662104687771918675666038649251004258076194253556380229809686751282646612515678097<200>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4064049232
Step 1 took 34801ms
Step 2 took 13032ms
********** Factor found in step 2: 485248277538283610539389083122481155931
Found probable prime factor of 39 digits: 485248277538283610539389083122481155931

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 14, 2015 01:10:24 UTC 2015 年 11 月 14 日 (土) 10 時 10 分 24 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovJanuary 10, 2017 14:17:07 UTC 2017 年 1 月 10 日 (火) 23 時 17 分 7 秒 (日本時間)

118×10279-19

c280

composite cofactor 合成数の残り
1873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873<280>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovNovember 14, 2015 01:10:37 UTC 2015 年 11 月 14 日 (土) 10 時 10 分 37 秒 (日本時間)
4511e64320800Dmitry DomanovJanuary 23, 2016 11:33:23 UTC 2016 年 1 月 23 日 (土) 20 時 33 分 23 秒 (日本時間)
3520ebinaFebruary 12, 2023 09:36:08 UTC 2023 年 2 月 12 日 (日) 18 時 36 分 8 秒 (日本時間)

118×10280-19

c277

composite cofactor 合成数の残り
2325118571194933606042155581959444414887852437729186740518737894112523916209032100429358759884216976912360763821155032206833089984059144711044904345016068933854317528438367609127863787460517319177696201583839243666514942827698861677119848039708296141288391549967389226819257499<277>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 14, 2015 01:10:48 UTC 2015 年 11 月 14 日 (土) 10 時 10 分 48 秒 (日本時間)
4511e6800 / 4346Dmitry DomanovJanuary 22, 2016 22:29:53 UTC 2016 年 1 月 23 日 (土) 7 時 29 分 53 秒 (日本時間)

118×10282-19

c242

composite cofactor 合成数の残り
31663250146985317145047063587525355549763810871426005531863150281605095603285678188609376589927868702262069966748929120163206195557500480580063887029106548869295502379018856169566055680833700391613468397190906729309085781006211251783476661067<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62950600Dmitry DomanovNovember 14, 2015 01:11:03 UTC 2015 年 11 月 14 日 (土) 10 時 11 分 3 秒 (日本時間)
2350Ignacio SantosDecember 24, 2021 13:27:32 UTC 2021 年 12 月 24 日 (金) 22 時 27 分 32 秒 (日本時間)

118×10283-19

c240

name 名前Ignacio Santos
date 日付December 24, 2021 13:26:51 UTC 2021 年 12 月 24 日 (金) 22 時 26 分 51 秒 (日本時間)
composite number 合成数
114309715004776283222294768224278817498804824608205029800343106105788436567801079458786699003689931541486563334638470844361474883566194753609603172474432409669655087586913444754437855862801378821409205891761481260899169239239124352228895723<240>
prime factors 素因数
11249963061396009430730075142911126443<38>
composite cofactor 合成数の残り
10160896918588777597218943591486291010046427839820788276543659825910899064411298585066236542398910374137829705789045135142813103416665613820536854928901090935671382603123002824219791710847160116985888961<203>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2118437253
Step 1 took 13765ms
Step 2 took 5485ms
********** Factor found in step 2: 11249963061396009430730075142911126443
Found prime factor of 38 digits: 11249963061396009430730075142911126443
Composite cofactor 10160896918588777597218943591486291010046427839820788276543659825910899064411298585066236542398910374137829705789045135142813103416665613820536854928901090935671382603123002824219791710847160116985888961 has 203 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62950600Dmitry DomanovNovember 14, 2015 01:11:16 UTC 2015 年 11 月 14 日 (土) 10 時 11 分 16 秒 (日本時間)
2350Ignacio SantosDecember 26, 2021 11:18:37 UTC 2021 年 12 月 26 日 (日) 20 時 18 分 37 秒 (日本時間)

118×10284-19

c275

composite cofactor 合成数の残り
46010417715954104167579727565788761366961423581172182261685282788755088071786214654756856362540646161617686400695779618441000876012965699075585963240461021585740950228531610184705171072035749063183295416696514399602609572504430153436123810785441803464360922144840935878677369<275>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62950600Dmitry DomanovNovember 14, 2015 01:11:42 UTC 2015 年 11 月 14 日 (土) 10 時 11 分 42 秒 (日本時間)
2350Ignacio SantosDecember 24, 2021 13:56:19 UTC 2021 年 12 月 24 日 (金) 22 時 56 分 19 秒 (日本時間)

118×10286-19

c264

composite cofactor 合成数の残り
111307602727322443954757194713478051272997262626082862153031343683510848162853780104059162556215674970103317536617809282987298403310435034696247474373929460872270118487636945117597587028591799592586175787613004081387002236997812932446905803059346880146081930281193<264>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62950600Dmitry DomanovNovember 14, 2015 01:11:56 UTC 2015 年 11 月 14 日 (土) 10 時 11 分 56 秒 (日本時間)
2350Ignacio SantosDecember 24, 2021 14:36:41 UTC 2021 年 12 月 24 日 (金) 23 時 36 分 41 秒 (日本時間)

118×10287-19

c262

composite cofactor 合成数の残り
1956462798469803539061065084178130924093672281547286352245342242675547498680577227115888063936396490311580552068501549450452917768306226831685494186113664639152787679262793998604411096771022366190573269873498050806664421974136433947081883653212856553039696623123<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62950600Dmitry DomanovNovember 14, 2015 01:12:08 UTC 2015 年 11 月 14 日 (土) 10 時 12 分 8 秒 (日本時間)
2350Ignacio SantosDecember 24, 2021 14:36:54 UTC 2021 年 12 月 24 日 (金) 23 時 36 分 54 秒 (日本時間)

118×10288-19

c236

composite cofactor 合成数の残り
78719062583178638115195570706591954653151552289964806547780744446427101380855342773657610177267234264610459928627881378045804133292487402104790917235568684168627411479999036449735776023372085191695196156490468316053855343980307811746319<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62950600Dmitry DomanovNovember 14, 2015 01:12:20 UTC 2015 年 11 月 14 日 (土) 10 時 12 分 20 秒 (日本時間)
2350Ignacio SantosDecember 24, 2021 14:56:00 UTC 2021 年 12 月 24 日 (金) 23 時 56 分 0 秒 (日本時間)

118×10289-19

c288

composite cofactor 合成数の残り
174582038763130640627311732504808403610001479508803077378310400946885633969522118656606006805740494155940227844355673916259801745820387631306406273117325048084036100014795088030773783104009468856339695221186566060068057404941559402278443556739162598017458203876313064062731173250480840361<288>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovNovember 14, 2015 01:15:15 UTC 2015 年 11 月 14 日 (土) 10 時 15 分 15 秒 (日本時間)
4511e6800 / 4305Dmitry DomanovDecember 31, 2015 00:28:14 UTC 2015 年 12 月 31 日 (木) 9 時 28 分 14 秒 (日本時間)

118×10290-19

c266

composite cofactor 合成数の残り
21217588573033334484869155737203085865873460720787263912191407975093393440636212133228541168402918540545633904429026014686834775477512017847483736883781936848001839369589952242326060700643563800436704932756101282679997325266727287727409343729469392783206412926075891<266>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62950600Dmitry DomanovNovember 14, 2015 01:15:05 UTC 2015 年 11 月 14 日 (土) 10 時 15 分 5 秒 (日本時間)
2350Ignacio SantosDecember 24, 2021 15:13:07 UTC 2021 年 12 月 25 日 (土) 0 時 13 分 7 秒 (日本時間)

118×10294-19

c282

composite cofactor 合成数の残り
137278933374596213529039147998674468964974406072111119932005390077939610030366247582646796739889646697360810055380092100602360288002489313026666373269133258769572157826246427373745607214237901995381363520537273181603556118881398107942099367487951795275856598314585303419282181615661<282>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62950600Dmitry DomanovNovember 14, 2015 01:14:52 UTC 2015 年 11 月 14 日 (土) 10 時 14 分 52 秒 (日本時間)
2350Ignacio SantosDecember 24, 2021 16:19:56 UTC 2021 年 12 月 25 日 (土) 1 時 19 分 56 秒 (日本時間)

118×10295-19

c247

name 名前Dmitry Domanov
date 日付November 14, 2015 09:26:23 UTC 2015 年 11 月 14 日 (土) 18 時 26 分 23 秒 (日本時間)
composite number 合成数
1336252064493531967176449172823428065292408621510854562210288573291392128272952222396630131546102733696636261904707108195969237094216794817654260509792808228318854992995999846223309685948408100235033066231326403825415421729523172676083886596933259<247>
prime factors 素因数
578727907821046725932321554778279<33>
63458699679229056330448618140873846281<38>
composite cofactor 合成数の残り
36385034803211298235526536173268494351694502868226068133598826589470690869737448743468063106979431861496536036175998534674293180750630548335808238094019268829919700577800253141<176>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1696284988
Step 1 took 39495ms
Step 2 took 15138ms
********** Factor found in step 2: 578727907821046725932321554778279
Found probable prime factor of 33 digits: 578727907821046725932321554778279

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3300795827
Step 1 took 38435ms
Step 2 took 11856ms
********** Factor found in step 2: 63458699679229056330448618140873846281
Found probable prime factor of 38 digits: 63458699679229056330448618140873846281

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 14, 2015 01:13:00 UTC 2015 年 11 月 14 日 (土) 10 時 13 分 0 秒 (日本時間)
4511e6600Dmitry DomanovNovember 19, 2015 10:57:11 UTC 2015 年 11 月 19 日 (木) 19 時 57 分 11 秒 (日本時間)
5043e61500 / 7396Erik BrangerDecember 1, 2015 08:23:02 UTC 2015 年 12 月 1 日 (火) 17 時 23 分 2 秒 (日本時間)

118×10296-19

c260

composite cofactor 合成数の残り
17686323594880556392454758717888132941339129901746465254936557768450235472092622848728581955311470540217270129593162007995240971735554150465534605236022359182675793728077962126932387965824664222512866629134970203110670715631963755336028505382783832733649797049<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62950600Dmitry DomanovNovember 14, 2015 01:14:39 UTC 2015 年 11 月 14 日 (土) 10 時 14 分 39 秒 (日本時間)
2350Ignacio SantosDecember 24, 2021 16:20:12 UTC 2021 年 12 月 25 日 (土) 1 時 20 分 12 秒 (日本時間)

118×10297-19

c296

composite cofactor 合成数の残り
64586754241926655719759168035030103995621237000547345374931581828133552271483305966064586754241926655719759168035030103995621237000547345374931581828133552271483305966064586754241926655719759168035030103995621237000547345374931581828133552271483305966064586754241926655719759168035030103995621237<296>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
403e61200600Dmitry DomanovNovember 14, 2015 01:14:26 UTC 2015 年 11 月 14 日 (土) 10 時 14 分 26 秒 (日本時間)
600Dmitry DomanovNovember 14, 2015 09:42:31 UTC 2015 年 11 月 14 日 (土) 18 時 42 分 31 秒 (日本時間)
4511e6800 / 4172Dmitry DomanovDecember 31, 2015 00:23:30 UTC 2015 年 12 月 31 日 (木) 9 時 23 分 30 秒 (日本時間)

118×10298-19

c225

composite cofactor 合成数の残り
389789972018224607948015786685259109296180344320573881391787732775196746144782556391268809361972233795258338158221242757380312898256315055824069258790371532889114420061430035091458749024125319477375211404792397591008069732053<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
403e62950600Dmitry DomanovNovember 14, 2015 01:12:42 UTC 2015 年 11 月 14 日 (土) 10 時 12 分 42 秒 (日本時間)
2350Ignacio SantosDecember 24, 2021 16:20:27 UTC 2021 年 12 月 25 日 (土) 1 時 20 分 27 秒 (日本時間)

118×10299-19

c270

name 名前Dmitry Domanov
date 日付November 14, 2015 09:32:36 UTC 2015 年 11 月 14 日 (土) 18 時 32 分 36 秒 (日本時間)
composite number 合成数
161402968345973152376067255022344265383052285154442383510711966942286522272057203854488943809586068648571288611197567259542184128076623646453834817155407164225024850831549225930519359759235881295115291353295163251570982226034956096398092616898805365425501916468514470571<270>
prime factors 素因数
83496260869487009843966081007713339047<38>
1933056243060537798185803018279248954017446208977018634385516386813747285107672714270286585212582354650635013889562618830877757363323461879819985735557834032006916488235114807726939695038222664677592580303036477399274510310690713693<232>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=528111292
Step 1 took 42947ms
Step 2 took 13877ms
********** Factor found in step 2: 83496260869487009843966081007713339047
Found probable prime factor of 38 digits: 83496260869487009843966081007713339047

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 14, 2015 01:14:11 UTC 2015 年 11 月 14 日 (土) 10 時 14 分 11 秒 (日本時間)