Table of contents 目次

55×10126+89

c118

name 名前Ignacio Santos
date 日付October 6, 2022 07:27:49 UTC 2022 年 10 月 6 日 (木) 16 時 27 分 49 秒 (日本時間)
composite number 合成数
9442974094400344793957141586221558299418737351900223000194176391374468530016947645554287697214127464461888934656065587<118>
prime factors 素因数
1284672936852484123604025998967284881474624433797740161<55>
7350488847018234181237266048004306629901617350540406588921586867<64>
factorization results 素因数分解の結果
Number: 1
N=9442974094400344793957141586221558299418737351900223000194176391374468530016947645554287697214127464461888934656065587
  ( 118 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=1284672936852484123604025998967284881474624433797740161 (pp55)
 r2=7350488847018234181237266048004306629901617350540406588921586867 (pp64)
Version: Msieve v. 1.52 (SVN 927)
Total time: 1.41 hours.
Scaled time: 10.88 units (timescale=7.704).
Factorization parameters were as follows:
n: 9442974094400344793957141586221558299418737351900223000194176391374468530016947645554287697214127464461888934656065587
m: 50000000000000000000000000000000
deg: 4
c4: 11
c0: 10
skew: 0.98
# Murphy_E = 2.202e-08
type: snfs
lss: 1
rlim: 950000
alim: 950000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3Factor base limits: 950000/950000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [475000, 775001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 112765 x 112990
Total sieving time: 1.40 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,127.000,4,0,0,0,0,0,0,0,0,950000,950000,26,26,46,46,2.3,2.3,75000
total time: 1.41 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10131+89

c121

name 名前Ignacio Santos
date 日付October 6, 2022 07:50:59 UTC 2022 年 10 月 6 日 (木) 16 時 50 分 59 秒 (日本時間)
composite number 合成数
1076421834155475316974306736023237993011923416233470246002473159127631715796654489379531385185396936383273072618615996757<121>
prime factors 素因数
210674520279178433065326013364820859803959775282707<51>
5109406836332362938402674440251003353512718267733177022386728855644151<70>
factorization results 素因数分解の結果
Number: 1
N=1076421834155475316974306736023237993011923416233470246002473159127631715796654489379531385185396936383273072618615996757
  ( 121 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=210674520279178433065326013364820859803959775282707 (pp51)
 r2=5109406836332362938402674440251003353512718267733177022386728855644151 (pp70)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.00 hours.
Scaled time: 15.57 units (timescale=7.794).
Factorization parameters were as follows:
n: 1076421834155475316974306736023237993011923416233470246002473159127631715796654489379531385185396936383273072618615996757
m: 500000000000000000000000000000000
deg: 4
c4: 11
c0: 1
skew: 0.55
# Murphy_E = 1.243e-08
type: snfs
lss: 1
rlim: 1100000
alim: 1100000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1100000/1100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [550000, 1050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 168686 x 168934
Total sieving time: 1.97 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,131.000,4,0,0,0,0,0,0,0,0,1100000,1100000,26,26,47,47,2.3,2.3,100000
total time: 2.00 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10134+89

c106

name 名前Ignacio Santos
date 日付October 6, 2022 10:14:36 UTC 2022 年 10 月 6 日 (木) 19 時 14 分 36 秒 (日本時間)
composite number 合成数
4645607935058557235919326805694506602661621610776984313722264887853705871128054981928000301910283323496801<106>
prime factors 素因数
55133239773872064267205023298031836054429802563<47>
84261471919887710988333057802710848975491354265073928505227<59>
factorization results 素因数分解の結果
Number: 1
N=4645607935058557235919326805694506602661621610776984313722264887853705871128054981928000301910283323496801
  ( 106 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=55133239773872064267205023298031836054429802563 (pp47)
 r2=84261471919887710988333057802710848975491354265073928505227 (pp59)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.89 hours.
Scaled time: 22.32 units (timescale=7.734).
Factorization parameters were as follows:
n: 4645607935058557235919326805694506602661621610776984313722264887853705871128054981928000301910283323496801
m: 5000000000000000000000000000000000
deg: 4
c4: 11
c0: 10
skew: 0.98
# Murphy_E = 8.937e-09
type: snfs
lss: 1
rlim: 1290000
alim: 1290000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1290000/1290000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [645000, 1345001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 163131 x 163360
Total sieving time: 2.86 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,135.000,4,0,0,0,0,0,0,0,0,1290000,1290000,26,26,47,47,2.3,2.3,100000
total time: 2.89 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10136+89

c104

name 名前Ignacio Santos
date 日付October 6, 2022 10:58:41 UTC 2022 年 10 月 6 日 (木) 19 時 58 分 41 秒 (日本時間)
composite number 合成数
10136152417408905163465549616065802417909509700154859318719192357623002068003962266587327877226100129769<104>
prime factors 素因数
1321145084824046275495620917863612500045343006686419<52>
7672247759797604463799157146135814630892679440509651<52>
factorization results 素因数分解の結果
Number: 1
N=10136152417408905163465549616065802417909509700154859318719192357623002068003962266587327877226100129769
  ( 104 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=1321145084824046275495620917863612500045343006686419 (pp52)
 r2=7672247759797604463799157146135814630892679440509651 (pp52)
Version: Msieve v. 1.52 (SVN 927)
Total time: 3.17 hours.
Scaled time: 24.70 units (timescale=7.800).
Factorization parameters were as follows:
n: 10136152417408905163465549616065802417909509700154859318719192357623002068003962266587327877226100129769
m: 10000000000000000000000000000000000
deg: 4
c4: 55
c0: 8
skew: 0.62
# Murphy_E = 6.393e-09
type: snfs
lss: 1
rlim: 1380000
alim: 1380000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1380000/1380000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [690000, 1490001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 210278 x 210503
Total sieving time: 3.13 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,137.000,4,0,0,0,0,0,0,0,0,1380000,1380000,26,26,48,48,2.3,2.3,100000
total time: 3.17 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10139+89

c105

name 名前Ignacio Santos
date 日付October 6, 2022 11:40:40 UTC 2022 年 10 月 6 日 (木) 20 時 40 分 40 秒 (日本時間)
composite number 合成数
110905846600324815796257176641093842360091244084657376843688121816053953609044201845677868036829476280479<105>
prime factors 素因数
77644606969046166138943376543671572491<38>
1428377976651212754239467437551302673535226921426872943218699524669<67>
factorization results 素因数分解の結果
Number: 1
N=110905846600324815796257176641093842360091244084657376843688121816053953609044201845677868036829476280479
  ( 105 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=77644606969046166138943376543671572491 (pp38)
 r2=1428377976651212754239467437551302673535226921426872943218699524669 (pp67)
Version: Msieve v. 1.52 (SVN 927)
Total time: 5.06 hours.
Scaled time: 39.49 units (timescale=7.806).
Factorization parameters were as follows:
n: 110905846600324815796257176641093842360091244084657376843688121816053953609044201845677868036829476280479
m: 50000000000000000000000000000000000
deg: 4
c4: 11
c0: 1
skew: 0.55
# Murphy_E = 4.992e-09
type: snfs
lss: 1
rlim: 1500000
alim: 1500000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [750000, 1250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 192616 x 192842
Total sieving time: 5.03 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,139.000,4,0,0,0,0,0,0,0,0,1500000,1500000,26,26,48,48,2.3,2.3,100000
total time: 5.06 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10141+89

c124

name 名前Ignacio Santos
date 日付October 6, 2022 12:15:46 UTC 2022 年 10 月 6 日 (木) 21 時 15 分 46 秒 (日本時間)
composite number 合成数
1649775643571149368696696093160113602865776399331708440698856604790710792351425033817346366182115359138219234607921996102727<124>
prime factors 素因数
1222576981703352251512840504709349461425751549<46>
1349424754646209414660263688132839658558238016045063961096041256681900084427923<79>
factorization results 素因数分解の結果
Number: 1
N=1649775643571149368696696093160113602865776399331708440698856604790710792351425033817346366182115359138219234607921996102727
  ( 124 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=1222576981703352251512840504709349461425751549 (pp46)
 r2=1349424754646209414660263688132839658558238016045063961096041256681900084427923 (pp79)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.84 hours.
Scaled time: 22.15 units (timescale=7.800).
Factorization parameters were as follows:
n: 1649775643571149368696696093160113602865776399331708440698856604790710792351425033817346366182115359138219234607921996102727
m: 10000000000000000000000000000
deg: 5
c5: 275
c0: 4
skew: 0.43
# Murphy_E = 3.491e-09
type: snfs
lss: 1
rlim: 1660000
alim: 1660000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1660000/1660000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [830000, 1430001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 258320 x 258545
Total sieving time: 2.79 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,142.000,5,0,0,0,0,0,0,0,0,1660000,1660000,26,26,48,48,2.3,2.3,100000
total time: 2.84 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10144+89

c118

name 名前Ignacio Santos
date 日付October 7, 2022 07:56:17 UTC 2022 年 10 月 7 日 (金) 16 時 56 分 17 秒 (日本時間)
composite number 合成数
8365895743612973802074245288250003903819875913663018752294347953052352563267937265686123094135529628201264019388505559<118>
prime factors 素因数
2107640656643916386919736534330272619<37>
3969317880275822964610305947164391960057617027401139008544550048343081302865608261<82>
factorization results 素因数分解の結果
Number: 1
N=8365895743612973802074245288250003903819875913663018752294347953052352563267937265686123094135529628201264019388505559
  ( 118 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=2107640656643916386919736534330272619 (pp37)
 r2=3969317880275822964610305947164391960057617027401139008544550048343081302865608261 (pp82)
Version: Msieve v. 1.52 (SVN 927)
Total time: 4.10 hours.
Scaled time: 32.12 units (timescale=7.831).
Factorization parameters were as follows:
n: 8365895743612973802074245288250003903819875913663018752294347953052352563267937265686123094135529628201264019388505559
m: 50000000000000000000000000000
deg: 5
c5: 22
c0: 1
skew: 0.54
# Murphy_E = 2.698e-09
type: snfs
lss: 1
rlim: 1820000
alim: 1820000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1820000/1820000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [910000, 1810001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 242264 x 242491
Total sieving time: 4.06 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,144.000,5,0,0,0,0,0,0,0,0,1820000,1820000,26,26,49,49,2.3,2.3,100000
total time: 4.10 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10145+89

c124

name 名前Ignacio Santos
date 日付October 7, 2022 08:18:57 UTC 2022 年 10 月 7 日 (金) 17 時 18 分 57 秒 (日本時間)
composite number 合成数
8114069070619037855406854961322840751801756586418878486789496739186097598461201542201248813113289582463929631572197117398251<124>
prime factors 素因数
381401265512657217169770028302968117<36>
21274363260731665347521500138666532055248035609367917966566382849610765997376524605836703<89>
factorization results 素因数分解の結果
Number: 1
N=8114069070619037855406854961322840751801756586418878486789496739186097598461201542201248813113289582463929631572197117398251
  ( 124 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=381401265512657217169770028302968117 (pp36)
 r2=21274363260731665347521500138666532055248035609367917966566382849610765997376524605836703 (pp89)
Version: Msieve v. 1.52 (SVN 927)
Total time: 4.83 hours.
Scaled time: 37.85 units (timescale=7.831).
Factorization parameters were as follows:
n: 8114069070619037855406854961322840751801756586418878486789496739186097598461201542201248813113289582463929631572197117398251
m: 100000000000000000000000000000
deg: 5
c5: 55
c0: 8
skew: 0.68
# Murphy_E = 2.064e-09
type: snfs
lss: 1
rlim: 1950000
alim: 1950000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1950000/1950000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [975000, 2075001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 303438 x 303663
Total sieving time: 4.79 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,146.000,5,0,0,0,0,0,0,0,0,1950000,1950000,26,26,49,49,2.3,2.3,100000
total time: 4.83 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10153+89

c147

name 名前Bob Backstrom
date 日付October 6, 2022 02:45:14 UTC 2022 年 10 月 6 日 (木) 11 時 45 分 14 秒 (日本時間)
composite number 合成数
234804534873049982491266210520862032851254862033466015826064724151803198075333696520449528244389887824225359347421673732490113533713303423846297737<147>
prime factors 素因数
43101043118836429263083511656706674149321063535213<50>
5447769192630826687641582171250435305401234136884973436488274993415565825380737659194659877627149<97>
factorization results 素因数分解の結果
Number: n
N=234804534873049982491266210520862032851254862033466015826064724151803198075333696520449528244389887824225359347421673732490113533713303423846297737  ( 147 digits)
SNFS difficulty: 154 digits.
Divisors found:

Thu Oct  6 13:41:32 2022  p50 factor: 43101043118836429263083511656706674149321063535213
Thu Oct  6 13:41:32 2022  p97 factor: 5447769192630826687641582171250435305401234136884973436488274993415565825380737659194659877627149
Thu Oct  6 13:41:32 2022  elapsed time 00:05:38 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.321).
Factorization parameters were as follows:
#
# N = 55x10^153+8 = 61(152)2
#
n: 234804534873049982491266210520862032851254862033466015826064724151803198075333696520449528244389887824225359347421673732490113533713303423846297737
m: 5000000000000000000000000000000
deg: 5
c5: 11
c0: 5
skew: 0.85
# Murphy_E = 1.153e-09
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 6900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1027433 hash collisions in 12833449 relations (12650836 unique)
Msieve: matrix is 336913 x 337145 (112.5 MB)

Sieving start time : 2022/10/06 13:17:54
Sieving end time  : 2022/10/06 13:35:37

Total sieving time: 0hrs 17min 43secs.

Total relation processing time: 0hrs 2min 32sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 14sec.

Prototype def-par.txt line would be:
snfs,154,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 0.00 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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10158+89

c108

name 名前Eric Jeancolas
date 日付October 6, 2022 09:53:06 UTC 2022 年 10 月 6 日 (木) 18 時 53 分 6 秒 (日本時間)
composite number 合成数
375564708033425126230194131353298665059889032606288019179177404264435077643528300807159781646859497325597939<108>
prime factors 素因数
1747718818999373374882077778495545543491<40>
214888518651099894561205161640973996281028858189582286567910525123729<69>
factorization results 素因数分解の結果
375564708033425126230194131353298665059889032606288019179177404264435077643528300807159781646859497325597939=1747718818999373374882077778495545543491*214888518651099894561205161640973996281028858189582286567910525123729

cado polynomial
n: 375564708033425126230194131353298665059889032606288019179177404264435077643528300807159781646859497325597939
skew: 8468.152
c0: -1118931747898085537162033
c1: -21903106211479006158
c2: -85952547953850757
c3: -19847822290348
c4: 1202732236
c5: 7680
Y0: 279828264805683862612
Y1: 28351892292235957
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.908e-06
# f(x) = 7680*x^5+1202732236*x^4-19847822290348*x^3-85952547953850757*x^2-21903106211479006158*x-1118931747898085537162033
# g(x) = 28351892292235957*x+279828264805683862612

cado parameters (extracts)
tasks.lim0 = 1400000
tasks.lim1 = 2500000
tasks.lpb0 = 25
tasks.lpb1 = 26
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1747718818999373374882077778495545543491 214888518651099894561205161640973996281028858189582286567910525123729
Info:Square Root: Total cpu/real time for sqrt: 215.7/63.0113
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11711.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11380/31.030/38.081/43.450/1.055
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 8738/30.080/33.796/38.620/0.862
Info:Polynomial Selection (size optimized): Total time: 735.6
Info:Generate Factor Base: Total cpu/real time for makefb: 2.27/0.629133
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 68.65/72.924
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 51.89999999999999s
Info:Quadratic Characters: Total cpu/real time for characters: 10.51/4.11847
Info:Square Root: Total cpu/real time for sqrt: 215.7/63.0113
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 19.28/19.239
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 18.6s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 46.97/51.9553
Info:Generate Free Relations: Total cpu/real time for freerel: 63.23/16.3983
Info:Filtering - Merging: Merged matrix has 276570 rows and total weight 42891588 (155.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 41.87/12.424
Info:Filtering - Merging: Total cpu/real time for replay: 9.17/7.4092
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4891595
Info:Lattice Sieving: Average J: 1904.74 for 63950 special-q, max bucket fill -bkmult 1.0,1s:1.284130
Info:Lattice Sieving: Total time: 6352.63s
Info:Linear Algebra: Total cpu/real time for bwc: 932.23/241.79
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 556.64, WCT time 142.67, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8704 iterations)
Info:Linear Algebra: Lingen CPU time 43.46, WCT time 11.03
Info:Linear Algebra: Mksol: CPU time 310.59,  WCT time 79.48, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4352 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 255.31
Info:Polynomial Selection (root optimized): Rootsieve time: 254.3
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 13829.8/3914.89
Info:root: Cleaning up computation data in /tmp/cado.0w1219tx
1747718818999373374882077778495545543491 214888518651099894561205161640973996281028858189582286567910525123729
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10159+89

c132

name 名前Ignacio Santos
date 日付October 13, 2022 14:53:06 UTC 2022 年 10 月 13 日 (木) 23 時 53 分 6 秒 (日本時間)
composite number 合成数
956416822661820110380764289253803791462437838021743628665808963232865443129507530746327494069240604674375628571273314006667284531459<132>
prime factors 素因数
46287824054643826795606478466814221697871018172348395707<56>
20662384594547981892864023464436751075110452232814888580558417561814844622937<77>
factorization results 素因数分解の結果
Number: 1
N=956416822661820110380764289253803791462437838021743628665808963232865443129507530746327494069240604674375628571273314006667284531459
  ( 132 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=46287824054643826795606478466814221697871018172348395707 (pp56)
 r2=20662384594547981892864023464436751075110452232814888580558417561814844622937 (pp77)
Version: Msieve v. 1.52 (SVN 927)
Total time: 14.05 hours.
Scaled time: 108.91 units (timescale=7.752).
Factorization parameters were as follows:
n: 956416822661820110380764289253803791462437838021743628665808963232865443129507530746327494069240604674375628571273314006667284531459
m: 50000000000000000000000000000000
deg: 5
c5: 22
c0: 1
skew: 0.54
# Murphy_E = 7.222e-10
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1600000, 2700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 484306 x 484531
Total sieving time: 13.95 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,159.000,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,50,50,2.4,2.4,100000
total time: 14.05 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62024ebinaOctober 13, 2022 11:59:09 UTC 2022 年 10 月 13 日 (木) 20 時 59 分 9 秒 (日本時間)

55×10162+89

c105

name 名前ebina
date 日付October 6, 2022 08:17:05 UTC 2022 年 10 月 6 日 (木) 17 時 17 分 5 秒 (日本時間)
composite number 合成数
769391934890536207650420710918417347761984723294967116704983399699311325156399276633347320878411214177341<105>
prime factors 素因数
890096565815380256241780752408499322181<39>
864391532828495319628041209127117169829525493335033499099370270361<66>
factorization results 素因数分解の結果
Z:\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:4104603155 3e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 769391934890536207650420710918417347761984723294967116704983399699311325156399276633347320878411214177341 (105 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4104603155
Step 1 took 3719ms
Step 2 took 3750ms
********** Factor found in step 2: 890096565815380256241780752408499322181
Found probable prime factor of 39 digits: 890096565815380256241780752408499322181
Probable prime cofactor 864391532828495319628041209127117169829525493335033499099370270361 has 66 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10163+89

c149

name 名前Bob Backstrom
date 日付October 14, 2022 15:43:01 UTC 2022 年 10 月 15 日 (土) 0 時 43 分 1 秒 (日本時間)
composite number 合成数
14211275100331865004032785934537587034155417293100045624435916603959188104026688515155115407579530968748781111820220838536011085081982209794328717533<149>
prime factors 素因数
51953838765920148015765533165007158773683669214174751575830979<62>
273536574734376528558941199919240693164703460795233495581597046889334010039257574600927<87>
factorization results 素因数分解の結果
Number: n
N=14211275100331865004032785934537587034155417293100045624435916603959188104026688515155115407579530968748781111820220838536011085081982209794328717533  ( 149 digits)
SNFS difficulty: 164 digits.
Divisors found:

Sat Oct 15 02:39:10 2022  p62 factor: 51953838765920148015765533165007158773683669214174751575830979
Sat Oct 15 02:39:10 2022  p87 factor: 273536574734376528558941199919240693164703460795233495581597046889334010039257574600927
Sat Oct 15 02:39:10 2022  elapsed time 00:08:35 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.318).
Factorization parameters were as follows:
#
# N = 55x10^163+8 = 61(162)2
#
n: 14211275100331865004032785934537587034155417293100045624435916603959188104026688515155115407579530968748781111820220838536011085081982209794328717533
m: 500000000000000000000000000000000
deg: 5
c5: 11
c0: 5
skew: 0.85
# Murphy_E = 4.723e-10
type: snfs
lss: 1
rlim: 3900000
alim: 3900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3900000/3900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2152844 hash collisions in 19813479 relations (18466739 unique)
Msieve: matrix is 651364 x 651609 (99.8 MB)

Sieving start time : 2022/10/15 01:43:59
Sieving end time  : 2022/10/15 02:30:14

Total sieving time: 0hrs 46min 15secs.

Total relation processing time: 0hrs 2min 56sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 39sec.

Prototype def-par.txt line would be:
snfs,164,5,0,0,0,0,0,0,0,0,3900000,3900000,27,27,51,51,2.4,2.4,100000
total time: 0.00 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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10167+89

c133

name 名前Ignacio Santos
date 日付October 17, 2022 15:45:51 UTC 2022 年 10 月 18 日 (火) 0 時 45 分 51 秒 (日本時間)
composite number 合成数
9140817282105347793280229849920873922148238096977358796295152501087900160294899163893303701614376267244938125690153710319773120423933<133>
prime factors 素因数
8707752888834399269099230024232082039620841521<46>
1049733197393124183547250115181298645897416625254010650282657899493149604564351950744973<88>
factorization results 素因数分解の結果
Number: 1
N=9140817282105347793280229849920873922148238096977358796295152501087900160294899163893303701614376267244938125690153710319773120423933
  ( 133 digits)
SNFS difficulty: 168 digits.
Divisors found:
 r1=8707752888834399269099230024232082039620841521 (pp46)
 r2=1049733197393124183547250115181298645897416625254010650282657899493149604564351950744973 (pp88)
Version: Msieve v. 1.52 (SVN 927)
Total time: 30.63 hours.
Scaled time: 237.04 units (timescale=7.740).
Factorization parameters were as follows:
n: 9140817282105347793280229849920873922148238096977358796295152501087900160294899163893303701614376267244938125690153710319773120423933
m: 1000000000000000000000000000000000
deg: 5
c5: 1375
c0: 2
skew: 0.27
# Murphy_E = 2.742e-10
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2200000, 4500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 850030 x 850255
Total sieving time: 30.41 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,168.000,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,52,52,2.4,2.4,100000
total time: 30.63 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62024ebinaOctober 13, 2022 15:12:39 UTC 2022 年 10 月 14 日 (金) 0 時 12 分 39 秒 (日本時間)

55×10170+89

c134

name 名前Ignacio Santos
date 日付October 15, 2022 10:09:23 UTC 2022 年 10 月 15 日 (土) 19 時 9 分 23 秒 (日本時間)
composite number 合成数
83570309536994167163928620363215756024636176708933189411017144367546155606219628620513929498128883730053943049065739930014426466104261<134>
prime factors 素因数
15778914021471817298434751382707746651<38>
5296328341942441200529939285010072010968364779009715381769313249963137369728942694300443798326111<97>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:256716226
Step 1 took 4859ms
Step 2 took 3312ms
********** Factor found in step 2: 15778914021471817298434751382707746651
Found prime factor of 38 digits: 15778914021471817298434751382707746651
Prime cofactor 5296328341942441200529939285010072010968364779009715381769313249963137369728942694300443798326111 has 97 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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10171+89

c116

name 名前Eric Jeancolas
date 日付October 6, 2022 20:24:42 UTC 2022 年 10 月 7 日 (金) 5 時 24 分 42 秒 (日本時間)
composite number 合成数
45862423969387012902712228625759878532457174654280198977055990439572470400967027111693426746083860621937625889652907<116>
prime factors 素因数
6952234342554892258902230532609371330562203<43>
6596789134201268510481633178160251430613659664236360273725952376877400369<73>
factorization results 素因数分解の結果
45862423969387012902712228625759878532457174654280198977055990439572470400967027111693426746083860621937625889652907=6952234342554892258902230532609371330562203*6596789134201268510481633178160251430613659664236360273725952376877400369

cado polynomial
n: 45862423969387012902712228625759878532457174654280198977055990439572470400967027111693426746083860621937625889652907
skew: 9045.275
c0: -5731250137941835632545140
c1: 738365049624039613823
c2: -270377844124555241
c3: -19242853735724
c4: 2064882750
c5: 156960
Y0: -17709919379420396964623
Y1: 8547449433369341
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 9.345e-07
# f(x) = 156960*x^5+2064882750*x^4-19242853735724*x^3-270377844124555241*x^2+738365049624039613823*x-5731250137941835632545140
# g(x) = 8547449433369341*x-17709919379420396964623

cado parameters (extracts)
tasks.lim0 = 2500000
tasks.lim1 = 4500000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 6596789134201268510481633178160251430613659664236360273725952376877400369 6952234342554892258902230532609371330562203
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21492.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 22316/33.540/41.313/46.540/1.092
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 17622/32.880/36.553/41.880/0.856
Info:Polynomial Selection (size optimized): Total time: 2663.89
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 359.83
Info:Polynomial Selection (root optimized): Rootsieve time: 340.65
Info:Generate Factor Base: Total cpu/real time for makefb: 4.65/0.758474
Info:Generate Free Relations: Total cpu/real time for freerel: 73.14/9.21025
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7775910
Info:Lattice Sieving: Average J: 1900.23 for 208323 special-q, max bucket fill -bkmult 1.0,1s:1.244010
Info:Lattice Sieving: Total time: 48411.8s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 21.06/32.2071
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 31.299999999999994s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 184.21/140.606
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 119.4s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 157.39/122.176
Info:Filtering - Merging: Merged matrix has 460774 rows and total weight 71968700 (156.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 106.03/15.3271
Info:Filtering - Merging: Total cpu/real time for replay: 15.31/12.5964
Info:Linear Algebra: Total cpu/real time for bwc: 2199.72/579.28
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 356.93, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14464 iterations)
Info:Linear Algebra: Lingen CPU time 49.98, WCT time 13.59
Info:Linear Algebra: Mksol: WCT time 198.17, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7296 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 24.79/5.80438
Info:Square Root: Total cpu/real time for sqrt: 885.97/119.078
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 108123/13453.6
Info:root: Cleaning up computation data in /tmp/cado.xuszin_5
6596789134201268510481633178160251430613659664236360273725952376877400369 6952234342554892258902230532609371330562203
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10172+89

c145

name 名前Bob Backstrom
date 日付October 15, 2022 02:04:10 UTC 2022 年 10 月 15 日 (土) 11 時 4 分 10 秒 (日本時間)
composite number 合成数
1791582116974059403905769907702979236000591688977992776288543818342254949122515883859135128133089224025104183199737541849341801454158046190082341<145>
prime factors 素因数
856587686292336820552968819745983239419435613<45>
2091533821515415826845020365099259545085795459840191850140026050761311550605454070428469974416874857<100>
factorization results 素因数分解の結果
Number: n
N=1791582116974059403905769907702979236000591688977992776288543818342254949122515883859135128133089224025104183199737541849341801454158046190082341  ( 145 digits)
SNFS difficulty: 173 digits.
Divisors found:

Sat Oct 15 13:00:30 2022  p45 factor: 856587686292336820552968819745983239419435613
Sat Oct 15 13:00:30 2022  p100 factor: 2091533821515415826845020365099259545085795459840191850140026050761311550605454070428469974416874857
Sat Oct 15 13:00:30 2022  elapsed time 00:12:39 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.316).
Factorization parameters were as follows:
#
# N = 55x10^172+8 = 61(171)2
#
n: 1791582116974059403905769907702979236000591688977992776288543818342254949122515883859135128133089224025104183199737541849341801454158046190082341
m: 10000000000000000000000000000000000
deg: 5
c5: 1375
c0: 2
skew: 0.27
# Murphy_E = 1.737e-10
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1682850 hash collisions in 13589344 relations (12665947 unique)
Msieve: matrix is 760126 x 760353 (262.9 MB)

Sieving start time : 2022/10/15 11:50:12
Sieving end time  : 2022/10/15 12:47:30

Total sieving time: 0hrs 57min 18secs.

Total relation processing time: 0hrs 8min 26sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 54sec.

Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,52,52,2.4,2.4,100000
total time: 0.00 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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10173+89

c162

name 名前Bob Backstrom
date 日付October 7, 2022 17:03:08 UTC 2022 年 10 月 8 日 (土) 2 時 3 分 8 秒 (日本時間)
composite number 合成数
759335250890890721777714015918517322577316383088588126943338414083303656120236659881742790699852658814447546048305069880146290411291319871727439700167078012063943<162>
prime factors 素因数
278922046350557936089138490548532205852605731<45>
2722392370291642243379565079127268350072762735955808781629565636879406014085537853920014938654558903721867816261194253<118>
factorization results 素因数分解の結果
Number: n
N=759335250890890721777714015918517322577316383088588126943338414083303656120236659881742790699852658814447546048305069880146290411291319871727439700167078012063943  ( 162 digits)
SNFS difficulty: 174 digits.
Divisors found:

Sat Oct  8 03:32:55 2022  p45 factor: 278922046350557936089138490548532205852605731
Sat Oct  8 03:32:55 2022  p118 factor: 2722392370291642243379565079127268350072762735955808781629565636879406014085537853920014938654558903721867816261194253
Sat Oct  8 03:32:55 2022  elapsed time 00:16:37 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.357).
Factorization parameters were as follows:
#
# N = 55x10^173+8 = 61(172)2
#
n: 759335250890890721777714015918517322577316383088588126943338414083303656120236659881742790699852658814447546048305069880146290411291319871727439700167078012063943
m: 50000000000000000000000000000000000
deg: 5
c5: 11
c0: 5
skew: 0.85
# Murphy_E = 1.897e-10
type: snfs
lss: 1
rlim: 5700000
alim: 5700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5700000/5700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 22850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1065846 hash collisions in 11762271 relations (11437360 unique)
Msieve: matrix is 895341 x 895567 (309.3 MB)

Sieving start time : 2022/10/08 01:14:33
Sieving end time  : 2022/10/08 03:15:48

Total sieving time: 2hrs 1min 15secs.

Total relation processing time: 0hrs 12min 34sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 58sec.

Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,5700000,5700000,27,27,52,52,2.4,2.4,100000
total time: 0.00 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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10174+89

c137

name 名前Ignacio Santos
date 日付October 15, 2022 10:01:45 UTC 2022 年 10 月 15 日 (土) 19 時 1 分 45 秒 (日本時間)
composite number 合成数
87306927784178260948023676962688550152782800980042448976611289976425005567729846684876786862892244050269817656979290914295242644064452651<137>
prime factors 素因数
393418688193833258671208168545795313297<39>
composite cofactor 合成数の残り
221918608353355735686641140957880715490828142319800161294912164421430022301863925285835175044217083<99>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3359694924
Step 1 took 3562ms
********** Factor found in step 2: 393418688193833258671208168545795313297
Found prime factor of 39 digits: 393418688193833258671208168545795313297
Composite cofactor 221918608353355735686641140957880715490828142319800161294912164421430022301863925285835175044217083 has 99 digits
 
software ソフトウェア
GMP-ECM

c99

name 名前Ignacio Santos
date 日付October 16, 2022 15:29:25 UTC 2022 年 10 月 17 日 (月) 0 時 29 分 25 秒 (日本時間)
composite number 合成数
221918608353355735686641140957880715490828142319800161294912164421430022301863925285835175044217083<99>
prime factors 素因数
635750694826627996605233505733899229443662779<45>
349065459399732018694351889585857375516585734345558977<54>
factorization results 素因数分解の結果
10/16/22 17:17:48, nfs: commencing nfs on c99: 221918608353355735686641140957880715490828142319800161294912164421430022301863925285835175044217083
10/16/22 17:17:48, nfs: commencing poly selection with 46 threads
10/16/22 17:17:48, nfs: setting deadline of 24 seconds
10/16/22 17:17:48, nfs: expecting degree 4 poly E from 1.33e-08 to > 1.52e-08
10/16/22 17:17:48, nfs: searching for avg quality poly E > 1.37e-08
10/16/22 17:18:05, nfs: completed 212 ranges of size 250 in 16.9101 seconds
10/16/22 17:18:05, nfs: best poly = # norm 2.024601e-13 alpha -4.894478 e 1.523e-08 rroots 2
10/16/22 17:18:05, nfs: commencing lattice sieving with 46 threads
10/16/22 17:18:39, nfs: commencing lattice sieving with 46 threads
10/16/22 17:19:11, nfs: commencing lattice sieving with 46 threads
10/16/22 17:19:42, nfs: commencing lattice sieving with 46 threads
10/16/22 17:20:14, nfs: commencing lattice sieving with 46 threads
10/16/22 17:20:46, nfs: commencing lattice sieving with 46 threads
10/16/22 17:21:22, nfs: commencing lattice sieving with 46 threads
10/16/22 17:21:55, nfs: commencing lattice sieving with 46 threads
10/16/22 17:22:29, nfs: commencing lattice sieving with 46 threads
10/16/22 17:23:02, nfs: commencing lattice sieving with 46 threads
10/16/22 17:23:37, nfs: commencing lattice sieving with 46 threads
10/16/22 17:24:14, nfs: commencing lattice sieving with 46 threads
10/16/22 17:24:51, nfs: commencing msieve filtering
10/16/22 17:25:43, nfs: raising min_rels by 5.00 percent to 4762366
10/16/22 17:25:43, nfs: commencing lattice sieving with 46 threads
10/16/22 17:26:21, nfs: commencing msieve filtering
10/16/22 17:27:18, nfs: commencing msieve linear algebra
10/16/22 17:28:54, nfs: commencing msieve sqrt
10/16/22 17:29:08, prp54 = 349065459399732018694351889585857375516585734345558977
10/16/22 17:29:08, prp45 = 635750694826627996605233505733899229443662779
10/16/22 17:29:08, NFS elapsed time = 679.1822 seconds.
10/16/22 17:29:08, 
10/16/22 17:29:08, 
software ソフトウェア
Yafu

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10175+89

c159

name 名前Bob Backstrom
date 日付October 11, 2022 16:30:30 UTC 2022 年 10 月 12 日 (水) 1 時 30 分 30 秒 (日本時間)
composite number 合成数
115731336485601673120579772131204672430901854303282343449834033472338192931552407187289526242402253841375824014932666392635045947299961934223435496822609955483<159>
prime factors 素因数
6268823411706950338792594306440134032216213035812223526965114049<64>
18461412754022522125170392460034708019578450788619772087768317368272942176566360526634977675867<95>
factorization results 素因数分解の結果
Number: n
N=115731336485601673120579772131204672430901854303282343449834033472338192931552407187289526242402253841375824014932666392635045947299961934223435496822609955483  ( 159 digits)
SNFS difficulty: 176 digits.
Divisors found:

Wed Oct 12 03:26:43 2022  p64 factor: 6268823411706950338792594306440134032216213035812223526965114049
Wed Oct 12 03:26:43 2022  p95 factor: 18461412754022522125170392460034708019578450788619772087768317368272942176566360526634977675867
Wed Oct 12 03:26:43 2022  elapsed time 00:16:44 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.332).
Factorization parameters were as follows:
#
# N = 55x10^175+8 = 61(174)2
#
n: 115731336485601673120579772131204672430901854303282343449834033472338192931552407187289526242402253841375824014932666392635045947299961934223435496822609955483
m: 100000000000000000000000000000000000
deg: 5
c5: 55
c0: 8
skew: 0.68
# Murphy_E = 1.405e-10
type: snfs
lss: 1
rlim: 6200000
alim: 6200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 30300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1513313 hash collisions in 13550152 relations (12839157 unique)
Msieve: matrix is 874546 x 874773 (300.8 MB)

Sieving start time : 2022/10/11 23:46:09
Sieving end time  : 2022/10/12 03:08:29

Total sieving time: 3hrs 22min 20secs.

Total relation processing time: 0hrs 11min 21sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 51sec.

Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,6200000,6200000,27,27,52,52,2.5,2.5,100000
total time: 0.00 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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10176+89

c157

name 名前Bob Backstrom
date 日付October 12, 2022 09:27:39 UTC 2022 年 10 月 12 日 (水) 18 時 27 分 39 秒 (日本時間)
composite number 合成数
9561289547972302519613437728243865620803622101505445417238088327716668988015170785697827557691263251410722032612163210490031494455881750459532095989135791147<157>
prime factors 素因数
1736652210104869283848906230613618730297182902132665047<55>
5505586836753534877818241747429195433332200341528914080768727000913018462890725235358355844481635396301<103>
factorization results 素因数分解の結果
Number: n
N=9561289547972302519613437728243865620803622101505445417238088327716668988015170785697827557691263251410722032612163210490031494455881750459532095989135791147  ( 157 digits)
SNFS difficulty: 177 digits.
Divisors found:

Wed Oct 12 13:26:41 2022  p55 factor: 1736652210104869283848906230613618730297182902132665047
Wed Oct 12 13:26:41 2022  p103 factor: 5505586836753534877818241747429195433332200341528914080768727000913018462890725235358355844481635396301
Wed Oct 12 13:26:41 2022  elapsed time 00:15:44 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.340).
Factorization parameters were as follows:
#
# N = 55x10^176+8 = 61(175)2
#
n: 9561289547972302519613437728243865620803622101505445417238088327716668988015170785697827557691263251410722032612163210490031494455881750459532095989135791147
m: 100000000000000000000000000000000000
deg: 5
c5: 275
c0: 4
skew: 0.43
# Murphy_E = 1.54e-10
type: snfs
lss: 1
rlim: 6300000
alim: 6300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6300000/6300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 23150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1499136 hash collisions in 13501737 relations (12802801 unique)
Msieve: matrix is 830169 x 830394 (289.8 MB)

Sieving start time : 2022/10/12 10:24:32
Sieving end time  : 2022/10/12 13:09:54

Total sieving time: 2hrs 45min 22secs.

Total relation processing time: 0hrs 10min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 53sec.

Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,6300000,6300000,27,27,52,52,2.5,2.5,100000
total time: 0.00 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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10177+89

c165

name 名前Bob Backstrom
date 日付October 8, 2022 12:05:05 UTC 2022 年 10 月 8 日 (土) 21 時 5 分 5 秒 (日本時間)
composite number 合成数
525630252302752094395501985289702105960722396665818285167537414261987459435739182881654479672913521684108182411071946865653885026305382733792152163720575293349827719<165>
prime factors 素因数
785961556144484000582447824215050445401066991896393611859934725980417<69>
668773489229192051205346406623860940486339069297841458070324918681787999314930508283191399894407<96>
factorization results 素因数分解の結果
Number: n
N=525630252302752094395501985289702105960722396665818285167537414261987459435739182881654479672913521684108182411071946865653885026305382733792152163720575293349827719  ( 165 digits)
SNFS difficulty: 178 digits.
Divisors found:

Sat Oct  8 22:54:20 2022  p69 factor: 785961556144484000582447824215050445401066991896393611859934725980417
Sat Oct  8 22:54:20 2022  p96 factor: 668773489229192051205346406623860940486339069297841458070324918681787999314930508283191399894407
Sat Oct  8 22:54:20 2022  elapsed time 00:27:32 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.327).
Factorization parameters were as follows:
#
# N = 55x10^177+8 = 61(176)2
#
n: 525630252302752094395501985289702105960722396665818285167537414261987459435739182881654479672913521684108182411071946865653885026305382733792152163720575293349827719
m: 100000000000000000000000000000000000
deg: 5
c5: 1375
c0: 2
skew: 0.27
# Murphy_E = 1.096e-10
type: snfs
lss: 1
rlim: 6500000
alim: 6500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 16050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1486362 hash collisions in 11806152 relations (10961581 unique)
Msieve: matrix is 1091618 x 1091846 (380.6 MB)

Sieving start time : 2022/10/08 21:17:26
Sieving end time  : 2022/10/08 22:26:29

Total sieving time: 1hrs 9min 3secs.

Total relation processing time: 0hrs 19min 48sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 27sec.

Prototype def-par.txt line would be:
snfs,178,5,0,0,0,0,0,0,0,0,6500000,6500000,27,27,52,52,2.5,2.5,100000
total time: 0.00 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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10179+89

c179

name 名前Bob Backstrom
date 日付October 7, 2022 20:21:51 UTC 2022 年 10 月 8 日 (土) 5 時 21 分 51 秒 (日本時間)
composite number 合成数
25462962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962963<179>
prime factors 素因数
2142191275569035159938864194732545029110432979453<49>
11886409609337605938020023957576084301295791613366540039208729032092563021571022225183740982441677070457134072820706366149748750671<131>
factorization results 素因数分解の結果
Number: n
N=25462962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962963  ( 179 digits)
SNFS difficulty: 179 digits.
Divisors found:

Sat Oct  8 06:07:29 2022  p49 factor: 2142191275569035159938864194732545029110432979453
Sat Oct  8 06:07:29 2022  p131 factor: 11886409609337605938020023957576084301295791613366540039208729032092563021571022225183740982441677070457134072820706366149748750671
Sat Oct  8 06:07:29 2022  elapsed time 00:24:10 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.357).
Factorization parameters were as follows:
#
# N = 55x10^179+8 = 61(178)2
#
n: 25462962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962963
m: 500000000000000000000000000000000000
deg: 5
c5: 22
c0: 1
skew: 0.54
# Murphy_E = 1.164e-10
type: snfs
lss: 1
rlim: 7000000
alim: 7000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1420187 hash collisions in 11764991 relations (11000026 unique)
Msieve: matrix is 1071967 x 1072195 (372.6 MB)

Sieving start time : 2022/10/08 04:35:09
Sieving end time  : 2022/10/08 05:41:58

Total sieving time: 1hrs 6min 49secs.

Total relation processing time: 0hrs 18min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 19sec.

Prototype def-par.txt line would be:
snfs,179,5,0,0,0,0,0,0,0,0,7000000,7000000,27,27,52,52,2.5,2.5,100000
total time: 0.00 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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10180+89

c131

name 名前Eric Jeancolas
date 日付November 1, 2022 11:27:36 UTC 2022 年 11 月 1 日 (火) 20 時 27 分 36 秒 (日本時間)
composite number 合成数
33581239317509926285692137249530039546730284756603984193401632796433756372121100148042546138908250131954684390964081822619465214273<131>
prime factors 素因数
1018399806889073295934963829768756353155830056316022669598254641<64>
32974514616308917378087883166663393510103321125413158922846294286353<68>
factorization results 素因数分解の結果
33581239317509926285692137249530039546730284756603984193401632796433756372121100148042546138908250131954684390964081822619465214273=1018399806889073295934963829768756353155830056316022669598254641*32974514616308917378087883166663393510103321125413158922846294286353

cado polynomial
n: 33581239317509926285692137249530039546730284756603984193401632796433756372121100148042546138908250131954684390964081822619465214273
skew: 0.68
type: snfs
c0: 8
c5: 55
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 55*x^5+8
# g(x) = -x+1000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 7500000
tasks.lim1 = 7500000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1018399806889073295934963829768756353155830056316022669598254641 32974514616308917378087883166663393510103321125413158922846294286353
Info:Square Root: Total cpu/real time for sqrt: 264.33/86.2998
Info:Generate Free Relations: Total cpu/real time for freerel: 120.25/31.1695
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 91.65/94.8
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 94.7s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 115.1/64.6391
Info:Filtering - Merging: Merged matrix has 1107801 rows and total weight 188511819 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 266.08/73.5983
Info:Filtering - Merging: Total cpu/real time for replay: 39.17/33.1063
Info:Generate Factor Base: Total cpu/real time for makefb: 3.21/1.87861
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22408686
Info:Lattice Sieving: Average J: 1894.13 for 997900 special-q, max bucket fill -bkmult 1.0,1s:1.173900
Info:Lattice Sieving: Total time: 213651s
Info:Linear Algebra: Total cpu/real time for bwc: 19535.3/5021.46
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 12402.73, WCT time 3168.24, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (34816 iterations)
Info:Linear Algebra: Lingen CPU time 221.36, WCT time 56.1
Info:Linear Algebra: Mksol: CPU time 6727.14,  WCT time 1716.86, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (17408 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 37.19/16.5159
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 214.79/178.587
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 163.2s
Info:Square Root: Total cpu/real time for sqrt: 264.33/86.2998
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 430516/45574.4
Info:root: Cleaning up computation data in /tmp/cado.vp03yfvb
1018399806889073295934963829768756353155830056316022669598254641 32974514616308917378087883166663393510103321125413158922846294286353
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosOctober 13, 2022 13:33:20 UTC 2022 年 10 月 13 日 (木) 22 時 33 分 20 秒 (日本時間)

55×10181+89

c178

name 名前Bob Backstrom
date 日付October 14, 2022 12:15:54 UTC 2022 年 10 月 14 日 (金) 21 時 15 分 54 秒 (日本時間)
composite number 合成数
3470644656469281639658740976323893179867736887273461557877732343884093088999949517895905901357968600131253470644656469281639658740976323893179867736887273461557877732343884093089<178>
prime factors 素因数
5436629474302716432382408253278090483699496304518156436570221306995365273601148480185343<88>
638381679839311597536966120098917461929344578092954555066972042838900062913064335432451423<90>
factorization results 素因数分解の結果
Number: n
N=3470644656469281639658740976323893179867736887273461557877732343884093088999949517895905901357968600131253470644656469281639658740976323893179867736887273461557877732343884093089  ( 178 digits)
SNFS difficulty: 182 digits.
Divisors found:

Sun Oct  9 15:45:11 2022  p88 factor: 5436629474302716432382408253278090483699496304518156436570221306995365273601148480185343
Sun Oct  9 15:45:11 2022  p90 factor: 638381679839311597536966120098917461929344578092954555066972042838900062913064335432451423
Sun Oct  9 15:45:11 2022  elapsed time 00:24:11 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.357).
Factorization parameters were as follows:
#
# N = 55x10^181+8 = 61(180)2
#
n: 3470644656469281639658740976323893179867736887273461557877732343884093088999949517895905901357968600131253470644656469281639658740976323893179867736887273461557877732343884093089
m: 1000000000000000000000000000000000000
deg: 5
c5: 275
c0: 4
skew: 0.43
# Murphy_E = 9.674e-11
type: snfs
lss: 1
rlim: 7700000
alim: 7700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 7700000/7700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 9450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 945614 hash collisions in 11586108 relations (11392620 unique)
Msieve: matrix is 1013245 x 1013470 (356.4 MB)

Sieving start time : 2022/10/09 13:36:00
Sieving end time  : 2022/10/09 15:20:44

Total sieving time: 1hrs 44min 44secs.

Total relation processing time: 0hrs 16min 52sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 3sec.

Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,7700000,7700000,27,27,52,52,2.5,2.5,100000
total time: 0.00 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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10183+89

c162

name 名前Bob Backstrom
date 日付October 11, 2022 10:20:28 UTC 2022 年 10 月 11 日 (火) 19 時 20 分 28 秒 (日本時間)
composite number 合成数
163554923334319234988146498082959381224632374974976537510756157019862258304660738239694861681210010980103222117219707174947634817444555196867853250777750682257673<162>
prime factors 素因数
31227594264134960153226139103739227058667203573817081083677813<62>
5237512757175881419794348806129459479821555582840703888775703214232583799216721269763773190883297221<100>
factorization results 素因数分解の結果
Number: n
N=163554923334319234988146498082959381224632374974976537510756157019862258304660738239694861681210010980103222117219707174947634817444555196867853250777750682257673  ( 162 digits)
SNFS difficulty: 184 digits.
Divisors found:

Tue Oct 11 19:26:15 2022  p62 factor: 31227594264134960153226139103739227058667203573817081083677813
Tue Oct 11 19:26:15 2022  p100 factor: 5237512757175881419794348806129459479821555582840703888775703214232583799216721269763773190883297221
Tue Oct 11 19:26:15 2022  elapsed time 00:22:57 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.338).
Factorization parameters were as follows:
#
# N = 55x10^183+8 = 61(182)2
#
n: 163554923334319234988146498082959381224632374974976537510756157019862258304660738239694861681210010980103222117219707174947634817444555196867853250777750682257673
m: 5000000000000000000000000000000000000
deg: 5
c5: 11
c0: 5
skew: 0.85
# Murphy_E = 7.486e-11
type: snfs
lss: 1
rlim: 8300000
alim: 8300000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8300000/8300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1300005 hash collisions in 13510921 relations (13065682 unique)
Msieve: matrix is 1048205 x 1048431 (363.7 MB)

Sieving start time : 2022/10/11 14:31:49
Sieving end time  : 2022/10/11 19:02:41

Total sieving time: 4hrs 30min 52secs.

Total relation processing time: 0hrs 16min 57sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 20sec.

Prototype def-par.txt line would be:
snfs,184,5,0,0,0,0,0,0,0,0,8300000,8300000,27,27,53,53,2.5,2.5,100000
total time: 0.00 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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10184+89

c158

name 名前Bob Backstrom
date 日付October 11, 2022 19:14:16 UTC 2022 年 10 月 12 日 (水) 4 時 14 分 16 秒 (日本時間)
composite number 合成数
55372402786368775968529240700298359968448415099915023515382538978397646045842154584097104919495199157339048349422766773136396239134606573385832173051199820437<158>
prime factors 素因数
2327381233878817607015609294980015310603277767101209320883874935239003113<73>
23791720058722409350860973218486784463903837354554609656447731432327089921773610918349<86>
factorization results 素因数分解の結果
Number: n
N=55372402786368775968529240700298359968448415099915023515382538978397646045842154584097104919495199157339048349422766773136396239134606573385832173051199820437  ( 158 digits)
SNFS difficulty: 184 digits.
Divisors found:

Wed Oct 12 06:06:36 2022  p73 factor: 2327381233878817607015609294980015310603277767101209320883874935239003113
Wed Oct 12 06:06:36 2022  p86 factor: 23791720058722409350860973218486784463903837354554609656447731432327089921773610918349
Wed Oct 12 06:06:36 2022  elapsed time 00:30:20 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.340).
Factorization parameters were as follows:
#
# N = 55x10^184+8 = 61(183)2
#
n: 55372402786368775968529240700298359968448415099915023515382538978397646045842154584097104919495199157339048349422766773136396239134606573385832173051199820437
m: 5000000000000000000000000000000000000
deg: 5
c5: 22
c0: 1
skew: 0.54
# Murphy_E = 7.292e-11
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 9800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1148371 hash collisions in 12513895 relations (12158469 unique)
Msieve: matrix is 1191057 x 1191282 (415.5 MB)

Sieving start time : 2022/10/12 03:28:29
Sieving end time  : 2022/10/12 05:35:59

Total sieving time: 2hrs 7min 30secs.

Total relation processing time: 0hrs 23min 50sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 54sec.

Prototype def-par.txt line would be:
snfs,184,5,0,0,0,0,0,0,0,0,8400000,8400000,27,27,53,53,2.5,2.5,100000
total time: 0.00 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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10186+89

c186

name 名前Bob Backstrom
date 日付October 9, 2022 20:04:36 UTC 2022 年 10 月 10 日 (月) 5 時 4 分 36 秒 (日本時間)
composite number 合成数
109126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984127<186>
prime factors 素因数
2883505546662062817642272873726544679<37>
10194559308054514707084025873472151285530371603848777433033498650497979403<74>
3712298630351777987606522691233002515251316229931186577272739799550185871771<76>
factorization results 素因数分解の結果
Number: n
N=109126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984127  ( 186 digits)
SNFS difficulty: 187 digits.
Divisors found:

Mon Oct 10 06:55:27 2022  found factor: 2883505546662062817642272873726544679
Mon Oct 10 06:56:51 2022  found factor: 2883505546662062817642272873726544679
Mon Oct 10 06:58:14 2022  p37 factor: 2883505546662062817642272873726544679
Mon Oct 10 06:58:14 2022  p74 factor: 10194559308054514707084025873472151285530371603848777433033498650497979403
Mon Oct 10 06:58:14 2022  p76 factor: 3712298630351777987606522691233002515251316229931186577272739799550185871771
Mon Oct 10 06:58:14 2022  elapsed time 00:30:16 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# N = 55x10^186+8 = 61(185)2
#
n: 109126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984127
m: 10000000000000000000000000000000000000
deg: 5
c5: 275
c0: 4
skew: 0.43
# Murphy_E = 6.051e-11
type: snfs
lss: 1
rlim: 9300000
alim: 9300000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 9300000/9300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 17450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1404289 hash collisions in 13783343 relations (13236573 unique)
Msieve: matrix is 1092705 x 1092932 (384.0 MB)

Sieving start time : 2022/10/10 03:09:08
Sieving end time  : 2022/10/10 06:23:55

Total sieving time: 3hrs 14min 47secs.

Total relation processing time: 0hrs 19min 33sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 57sec.

Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,9300000,9300000,27,27,53,53,2.5,2.5,100000
total time: 0.00 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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10188+89

c183

name 名前Bob Backstrom
date 日付October 18, 2022 08:52:51 UTC 2022 年 10 月 18 日 (火) 17 時 52 分 51 秒 (日本時間)
composite number 合成数
621517805242084575238911444335057310721837559202396030241474357757401034024822743121944957479141862456075641654982131928115476652175131513167589225096120553661621298126948740827527227<183>
prime factors 素因数
155501427874326326376883621202846412114721568017<48>
3996862368005938517762073728203123156271618035205102079415862159856123481558964251749520088751697872984021787906769535993162806137301131<136>
factorization results 素因数分解の結果
Number: n
N=621517805242084575238911444335057310721837559202396030241474357757401034024822743121944957479141862456075641654982131928115476652175131513167589225096120553661621298126948740827527227  ( 183 digits)
SNFS difficulty: 189 digits.
Divisors found:

Tue Oct 18 19:03:52 2022  p48 factor: 155501427874326326376883621202846412114721568017
Tue Oct 18 19:03:52 2022  p136 factor: 3996862368005938517762073728203123156271618035205102079415862159856123481558964251749520088751697872984021787906769535993162806137301131
Tue Oct 18 19:03:52 2022  elapsed time 00:44:57 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.357).
Factorization parameters were as follows:
#
# N = 55x10^188+8 = 61(187)2
#
n: 621517805242084575238911444335057310721837559202396030241474357757401034024822743121944957479141862456075641654982131928115476652175131513167589225096120553661621298126948740827527227
m: 50000000000000000000000000000000000000
deg: 5
c5: 11
c0: 5
skew: 0.85
# Murphy_E = 4.671e-11
type: snfs
lss: 1
rlim: 10100000
alim: 10100000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 10100000/10100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 10650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1228094 hash collisions in 12276557 relations (11799912 unique)
Msieve: matrix is 1471122 x 1471348 (513.9 MB)

Sieving start time : 2022/10/18 15:21:05
Sieving end time  : 2022/10/18 18:17:47

Total sieving time: 2hrs 56min 42secs.

Total relation processing time: 0hrs 39min 12sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 55sec.

Prototype def-par.txt line would be:
snfs,189,5,0,0,0,0,0,0,0,0,10100000,10100000,27,27,53,53,2.5,2.5,100000
total time: 0.00 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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosOctober 11, 2022 15:41:31 UTC 2022 年 10 月 12 日 (水) 0 時 41 分 31 秒 (日本時間)

55×10190+89

c170

name 名前Ignacio Santos
date 日付October 14, 2022 08:01:31 UTC 2022 年 10 月 14 日 (金) 17 時 1 分 31 秒 (日本時間)
composite number 合成数
11269797611719777144514031938807993096800895661059835719393860933949273740294627457554627529883109752102135354429222520089999188003960813678423884223575638631581620484859<170>
prime factors 素因数
152082653261647719754393104635582911717<39>
74103110183979150719887438145542633638743876852536656929625073357807789713883107648397739231493026643942047390886677636561448530527<131>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2755133786
Step 1 took 7297ms
Step 2 took 3828ms
********** Factor found in step 2: 152082653261647719754393104635582911717
Found prime factor of 39 digits: 152082653261647719754393104635582911717
Prime cofactor 74103110183979150719887438145542633638743876852536656929625073357807789713883107648397739231493026643942047390886677636561448530527 has 131 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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10191+89

c146

name 名前Ignacio Santos
date 日付October 14, 2022 15:44:34 UTC 2022 年 10 月 15 日 (土) 0 時 44 分 34 秒 (日本時間)
composite number 合成数
13338331413407659576337354400143308713101402505611665187114690573653558577818027893153837720100229503292374292620938951346961502688305744749623421<146>
prime factors 素因数
42607838471282179176557623611348099824447<41>
313048769709304499308225555526375273627263505894968884098580047016894292107119087274728745179309896632643<105>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:102110487
Step 1 took 5969ms
Step 2 took 3390ms
********** Factor found in step 2: 42607838471282179176557623611348099824447
Found prime factor of 41 digits: 42607838471282179176557623611348099824447
Prime cofactor 313048769709304499308225555526375273627263505894968884098580047016894292107119087274728745179309896632643 has 105 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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10193+89

c157

name 名前Bob Backstrom
date 日付November 1, 2022 20:51:54 UTC 2022 年 11 月 2 日 (水) 5 時 51 分 54 秒 (日本時間)
composite number 合成数
4022722631349188944024161538497649270265181292961576457511801849677278001861126269890757483578579983886821866882989653853804214753334483075382027114592496053<157>
prime factors 素因数
18052977171976495625982728868038804920033352280997085513<56>
222828766304187868314952648683733492923570179094989737229111554615476791049907737487311364054473101581<102>
factorization results 素因数分解の結果
Number: n
N=4022722631349188944024161538497649270265181292961576457511801849677278001861126269890757483578579983886821866882989653853804214753334483075382027114592496053  ( 157 digits)
SNFS difficulty: 194 digits.
Divisors found:

Tue Nov  1 22:53:07 2022  p56 factor: 18052977171976495625982728868038804920033352280997085513
Tue Nov  1 22:53:07 2022  p102 factor: 222828766304187868314952648683733492923570179094989737229111554615476791049907737487311364054473101581
Tue Nov  1 22:53:07 2022  elapsed time 00:38:13 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# N = 55x10^193+8 = 61(192)2
#
n: 4022722631349188944024161538497649270265181292961576457511801849677278001861126269890757483578579983886821866882989653853804214753334483075382027114592496053
m: 500000000000000000000000000000000000000
deg: 5
c5: 11
c0: 5
skew: 0.85
# Murphy_E = 2.903e-11
type: snfs
lss: 1
rlim: 12200000
alim: 12200000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 12200000/12200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved  special-q in [100000, 26100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3680075 hash collisions in 24644580 relations (21754700 unique)
Msieve: matrix is 1264632 x 1264858 (422.1 MB)

Sieving start time : 2022/11/01 13:08:39
Sieving end time  : 2022/11/01 22:14:24

Total sieving time: 9hrs 5min 45secs.

Total relation processing time: 0hrs 27min 0sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 12sec.

Prototype def-par.txt line would be:
snfs,194,5,0,0,0,0,0,0,0,0,12200000,12200000,27,27,54,54,2.5,2.5,100000
total time: 0.00 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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosOctober 17, 2022 10:42:04 UTC 2022 年 10 月 17 日 (月) 19 時 42 分 4 秒 (日本時間)

55×10196+89

c186

name 名前Bob Backstrom
date 日付October 26, 2022 02:01:07 UTC 2022 年 10 月 26 日 (水) 11 時 1 分 7 秒 (日本時間)
composite number 合成数
631023064456135443729774183306804743254055265361637007043262199133382189896210124613904525853138250380034533179515110756029632377095179704918877482221253589243713351699288903799346187773<186>
prime factors 素因数
1404898378815818160973006873942411615186093540438794556261885939<64>
449159223166035424309098872998307549069320194112881836658255233791144748341428007835440782189545306898947624549544153865807<123>
factorization results 素因数分解の結果
Number: n
N=631023064456135443729774183306804743254055265361637007043262199133382189896210124613904525853138250380034533179515110756029632377095179704918877482221253589243713351699288903799346187773  ( 186 digits)
SNFS difficulty: 197 digits.
Divisors found:

Wed Oct 26 12:54:11 2022  p64 factor: 1404898378815818160973006873942411615186093540438794556261885939
Wed Oct 26 12:54:11 2022  p123 factor: 449159223166035424309098872998307549069320194112881836658255233791144748341428007835440782189545306898947624549544153865807
Wed Oct 26 12:54:11 2022  elapsed time 01:08:11 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.316).
Factorization parameters were as follows:
#
# N = 55x10^196+8 = 61(195)2
#
n: 631023064456135443729774183306804743254055265361637007043262199133382189896210124613904525853138250380034533179515110756029632377095179704918877482221253589243713351699288903799346187773
m: 1000000000000000000000000000000000000000
deg: 5
c5: 275
c0: 4
skew: 0.43
# Murphy_E = 2.337e-11
type: snfs
lss: 1
rlim: 13700000
alim: 13700000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 13700000/13700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved  special-q in [100000, 19650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1669559 hash collisions in 13772158 relations (12884003 unique)
Msieve: matrix is 1722609 x 1722834 (607.0 MB)

Sieving start time : 2022/10/26 06:12:39
Sieving end time  : 2022/10/26 11:45:39

Total sieving time: 5hrs 33min 0secs.

Total relation processing time: 0hrs 56min 49sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 56sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13700000,13700000,27,27,54,54,2.5,2.5,100000
total time: 0.00 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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosOctober 24, 2022 13:11:03 UTC 2022 年 10 月 24 日 (月) 22 時 11 分 3 秒 (日本時間)

55×10198+89

c157

name 名前Bob Backstrom
date 日付November 1, 2022 02:03:38 UTC 2022 年 11 月 1 日 (火) 11 時 3 分 38 秒 (日本時間)
composite number 合成数
7082927060363121847325969383071512970631376130024974675101565465366198129129362876643895676697811334780892269189201741063212726805768802596841963262618244351<157>
prime factors 素因数
155578313861229338173556564719476327852789361619164001<54>
45526441857962648409716943078533489492338645171932554118704471216601310552231709291143783908858771680351<104>
factorization results 素因数分解の結果
Number: n
N=7082927060363121847325969383071512970631376130024974675101565465366198129129362876643895676697811334780892269189201741063212726805768802596841963262618244351  ( 157 digits)
SNFS difficulty: 199 digits.
Divisors found:

Tue Nov  1 12:53:55 2022  p54 factor: 155578313861229338173556564719476327852789361619164001
Tue Nov  1 12:53:55 2022  p104 factor: 45526441857962648409716943078533489492338645171932554118704471216601310552231709291143783908858771680351
Tue Nov  1 12:53:55 2022  elapsed time 01:24:50 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 55x10^198+8 = 61(197)2
#
n: 7082927060363121847325969383071512970631376130024974675101565465366198129129362876643895676697811334780892269189201741063212726805768802596841963262618244351
m: 5000000000000000000000000000000000000000
deg: 5
c5: 11
c0: 5
skew: 0.85
# Murphy_E = 1.796e-11
type: snfs
lss: 1
rlim: 14800000
alim: 14800000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 14800000/14800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved  special-q in [100000, 27400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1839554 hash collisions in 13830637 relations (12727996 unique)
Msieve: matrix is 1995503 x 1995730 (694.3 MB)

Sieving start time : 2022/11/01 04:22:23
Sieving end time  : 2022/11/01 11:28:30

Total sieving time: 7hrs 6min 7secs.

Total relation processing time: 1hrs 15min 29sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 46sec.

Prototype def-par.txt line would be:
snfs,199,5,0,0,0,0,0,0,0,0,14800000,14800000,27,27,54,54,2.5,2.5,100000
total time: 0.00 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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosOctober 26, 2022 14:48:44 UTC 2022 年 10 月 26 日 (水) 23 時 48 分 44 秒 (日本時間)

55×10199+89

c130

name 名前Ignacio Santos
date 日付October 13, 2022 13:59:05 UTC 2022 年 10 月 13 日 (木) 22 時 59 分 5 秒 (日本時間)
composite number 合成数
2609827331351863519366655727089531324279199946545570443016285030670697515050718071073139788856298470423414233075544543998463370419<130>
prime factors 素因数
10098957961602055664468870121589621547453<41>
258425407975245361916254097445779020453025221385302069974445604281695510905207950194143023<90>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1095902502
Step 1 took 17734ms
********** Factor found in step 1: 10098957961602055664468870121589621547453
Found prime factor of 41 digits: 10098957961602055664468870121589621547453
Prime cofactor 258425407975245361916254097445779020453025221385302069974445604281695510905207950194143023 has 90 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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosOctober 8, 2022 09:46:46 UTC 2022 年 10 月 8 日 (土) 18 時 46 分 46 秒 (日本時間)

55×10201+89

c188

name 名前Bob Backstrom
date 日付June 30, 2023 06:24:25 UTC 2023 年 6 月 30 日 (金) 15 時 24 分 25 秒 (日本時間)
composite number 合成数
31474067626839833281614424158332475023900254307596139600395871400180081485582995387792670407710237215268800229906676208377866521984629058671319501474352416215186524530092784450198642819143<188>
prime factors 素因数
691083864779624494845450599254021141650438874113812101942353010531023658354476631061327869<90>
45543050895677337408287879692879034152475113335726524561367238621935160657694340414136306298329747<98>
factorization results 素因数分解の結果
Number: n
N=31474067626839833281614424158332475023900254307596139600395871400180081485582995387792670407710237215268800229906676208377866521984629058671319501474352416215186524530092784450198642819143  ( 188 digits)
SNFS difficulty: 202 digits.
Divisors found:

Fri Jun 30 16:13:43 2023  prp90 factor: 691083864779624494845450599254021141650438874113812101942353010531023658354476631061327869
Fri Jun 30 16:13:43 2023  prp98 factor: 45543050895677337408287879692879034152475113335726524561367238621935160657694340414136306298329747
Fri Jun 30 16:13:43 2023  elapsed time 02:17:53 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.088).
Factorization parameters were as follows:
#
# N = 55x10^201+8 = 61(200)2
#
n: 31474067626839833281614424158332475023900254307596139600395871400180081485582995387792670407710237215268800229906676208377866521984629058671319501474352416215186524530092784450198642819143
m: 10000000000000000000000000000000000000000
deg: 5
c5: 275
c0: 4
skew: 0.43
# Murphy_E = 1.444e-11
type: snfs
lss: 1
rlim: 16600000
alim: 16600000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16600000/16600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 33900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2292771 hash collisions in 15725564 relations (14231452 unique)
Msieve: matrix is 2092879 x 2093104 (596.4 MB)

Sieving start time: 2023/06/29 23:58:42
Sieving end time  : 2023/06/30 13:55:19

Total sieving time: 13hrs 56min 37secs.

Total relation processing time: 2hrs 11min 6sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 33sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16600000,16600000,27,27,56,56,2.6,2.6,100000
total time: 0.00 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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10202+89

c170

name 名前Bob Backstrom
date 日付July 20, 2023 20:09:00 UTC 2023 年 7 月 21 日 (金) 5 時 9 分 0 秒 (日本時間)
composite number 合成数
79887730776180855182307595478598021800711004203323107231875966883154588191575334721936994600614864840262495943750234463769364131880605922490662760019496640153252232113067<170>
prime factors 素因数
5533589885734743912705975012173304378040335577<46>
14436872342514311775769041294018995960271907526442716768404761200906212471101230456836019190482999542264517284203479003982371<125>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 79887730776180855182307595478598021800711004203323107231875966883154588191575334721936994600614864840262495943750234463769364131880605922490662760019496640153252232113067 (170 digits)
Using B1=40270000, B2=192393771586, polynomial Dickson(12), sigma=1:833165420
Step 1 took 93586ms
Step 2 took 30249ms
********** Factor found in step 2: 5533589885734743912705975012173304378040335577
Found prime factor of 46 digits: 5533589885734743912705975012173304378040335577
Prime cofactor 14436872342514311775769041294018995960271907526442716768404761200906212471101230456836019190482999542264517284203479003982371 has 125 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJuly 19, 2023 07:43:55 UTC 2023 年 7 月 19 日 (水) 16 時 43 分 55 秒 (日本時間)

55×10204+89

c174

name 名前Ignacio Santos
date 日付September 3, 2023 16:06:52 UTC 2023 年 9 月 4 日 (月) 1 時 6 分 52 秒 (日本時間)
composite number 合成数
120437081914611213385126637390596610966682933130660437040944139489789632976866417633111529678498496867927472492814380928161461192261774799635690493981254818736705581996415519<174>
prime factors 素因数
265224837360831817617611036109433<33>
454094281338966563225089284872346847917525101943739636112441767438172763853114073235255380544860264286467687187188062965068278827904855360343<141>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4062572039
Step 1 took 6110ms
Step 2 took 3187ms
********** Factor found in step 2: 265224837360831817617611036109433
Found prime factor of 33 digits: 265224837360831817617611036109433
Prime cofactor 454094281338966563225089284872346847917525101943739636112441767438172763853114073235255380544860264286467687187188062965068278827904855360343 has 141 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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10206+89

c166

composite cofactor 合成数の残り
5209907670249434014334592016278549555849236828192855952626574026234836056883488500615044211413204340207569230445775938334006711682221001974506517443256801384261942171<166>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 28, 2024 07:33:16 UTC 2024 年 6 月 28 日 (金) 16 時 33 分 16 秒 (日本時間)

55×10208+89

c173

composite cofactor 合成数の残り
41735563667710754245955799082305281820398051841619821883403986433032372585463173807411511607679591798681318439853327093241442607891632837858854676896702364314997867764183951<173>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e624576dddJuly 7, 2024 16:18:28 UTC 2024 年 7 月 8 日 (月) 1 時 18 分 28 秒 (日本時間)

55×10209+89

c110

name 名前Eric Jeancolas
date 日付October 6, 2022 13:28:21 UTC 2022 年 10 月 6 日 (木) 22 時 28 分 21 秒 (日本時間)
composite number 合成数
21255986852330064725187483703979153778426942144113275559815286693188278203949729902534957321166623917643394029<110>
prime factors 素因数
643693284055780370117036971626937401759687562913<48>
33021918014120666072360920335671424221441534973510711982288333<62>
factorization results 素因数分解の結果
21255986852330064725187483703979153778426942144113275559815286693188278203949729902534957321166623917643394029=643693284055780370117036971626937401759687562913*33021918014120666072360920335671424221441534973510711982288333

cado polynomial
n: 21255986852330064725187483703979153778426942144113275559815286693188278203949729902534957321166623917643394029
skew: 33174.655
c0: -47655230620844268017923880
c1: 10508943948611769203924
c2: 411223810717157306
c3: -15355072629089
c4: -154171866
c5: 2880
Y0: -1863607331093295492221
Y1: 508347517045873
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.852e-06
# f(x) = 2880*x^5-154171866*x^4-15355072629089*x^3+411223810717157306*x^2+10508943948611769203924*x-47655230620844268017923880
# g(x) = 508347517045873*x-1863607331093295492221

cado parameters (extracts)
tasks.lim0 = 1400000
tasks.lim1 = 2500000
tasks.lpb0 = 25
tasks.lpb1 = 26
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 33021918014120666072360920335671424221441534973510711982288333 643693284055780370117036971626937401759687562913
Info:Square Root: Total cpu/real time for sqrt: 143.96/42.095
Info:Filtering - Singleton removal: Total cpu/real time for purge: 63.6/70.1753
Info:Filtering - Merging: Merged matrix has 283847 rows and total weight 44051539 (155.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 42.82/12.759
Info:Filtering - Merging: Total cpu/real time for replay: 9.47/7.70765
Info:Generate Factor Base: Total cpu/real time for makefb: 2.37/0.660813
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5112288
Info:Lattice Sieving: Average J: 1917.73 for 75694 special-q, max bucket fill -bkmult 1.0,1s:1.305090
Info:Lattice Sieving: Total time: 7549.71s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 254.2
Info:Polynomial Selection (root optimized): Rootsieve time: 253.26
Info:Linear Algebra: Total cpu/real time for bwc: 1005.74/265.65
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 604.06, WCT time 157.69, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8960 iterations)
Info:Linear Algebra: Lingen CPU time 44.5, WCT time 11.33
Info:Linear Algebra: Mksol: CPU time 334.75,  WCT time 87.44, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4480 iterations)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11711.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11583/31.980/38.825/44.370/1.076
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 8985/30.380/34.388/39.300/0.855
Info:Polynomial Selection (size optimized): Total time: 699.79
Info:Generate Free Relations: Total cpu/real time for freerel: 63.32/16.5769
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 82.55/90.6029
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 64.39999999999999s
Info:Square Root: Total cpu/real time for sqrt: 143.96/42.095
Info:Quadratic Characters: Total cpu/real time for characters: 10.61/4.13016
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 20.49/20.5357
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 19.8s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 15841/4515.35
Info:root: Cleaning up computation data in /tmp/cado.y8ii6mr0
33021918014120666072360920335671424221441534973510711982288333 643693284055780370117036971626937401759687562913
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10211+89

c201

composite cofactor 合成数の残り
162925583545027438317917176564050191074987730664804784417543360462771324585160417017422801382997982551216157321524325074555827493428959652603483215909003284399707207212536274869086379860434334040846671<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e65000cccJuly 7, 2024 17:11:36 UTC 2024 年 7 月 8 日 (月) 2 時 11 分 36 秒 (日本時間)

55×10212+89

c200

composite cofactor 合成数の残り
18492791120876955822743312517382474761149293294322554215545225755972192394359548033583111211358362566261958442602071087194740547963774607112328643673185855420562995140110846413709313091298170030578913<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e65000cccJuly 7, 2024 17:11:19 UTC 2024 年 7 月 8 日 (月) 2 時 11 分 19 秒 (日本時間)

55×10219+89

c199

composite cofactor 合成数の残り
1265942044292673385842779239273524229039402211658831176941696494612385894987450178968340806263379526554062727869901808508094057919134513695434270164088372497612627096063442502952132262036785963741297<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e65000cccJuly 7, 2024 17:10:06 UTC 2024 年 7 月 8 日 (月) 2 時 10 分 6 秒 (日本時間)

55×10220+89

c183

composite cofactor 合成数の残り
645166432116885683122679159738175444323423613684137353474425534352617624391127027806644484091627020229644509545691522824134487401624950448588698319525479845676137842224224450286907453<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e65000cccJuly 7, 2024 17:10:36 UTC 2024 年 7 月 8 日 (月) 2 時 10 分 36 秒 (日本時間)

55×10222+89

c195

composite cofactor 合成数の残り
147510937115682530883177092511040696387044813825732328906530056192850373267633087390461998259304396274527030767720069971068699174512919266097402746323274759313642115756293532543451162847362738473<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10223+89

c187

composite cofactor 合成数の残り
7616971048373429691551631295373064922157259752578603010429980744542852858195337355914598497928599368760949970869702520764447576259509417057581313914003645209728660158921716223292543784059<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10224+89

c217

composite cofactor 合成数の残り
2615339426416082379867122421231102541623374239866812232464804407285549708721754510135722269197522450729848793551911267418250928020384841851794371446421819844928517713983049001809773037649106349549970841533183261162709<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10225+89

c225

composite cofactor 合成数の残り
763888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62024ebinaOctober 6, 2022 03:08:42 UTC 2022 年 10 月 6 日 (木) 12 時 8 分 42 秒 (日本時間)

55×10226+89

c221

composite cofactor 合成数の残り
62210494978368845346066803665487608121840272405053211464104770617462915758393439982481524614091333150547588087798689552889779290737015651708096594122442922436407300933202668671880584805799194475889021906238151728456392479<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10228+89

c178

composite cofactor 合成数の残り
1386996155741539549773711137393242329624458182227288932847264445960229464646354143835493569841191089421035390729920463307063785222320842838329918014465608671810275236304818251219<178>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10229+89

c187

composite cofactor 合成数の残り
4428277255988280561280561282119978288954923128265256130068108305849720399376367439493005987974230228691741151880206152911072255142129185588456717705732014460345083133686149467767582142559<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10230+89

c201

composite cofactor 合成数の残り
371818852099589477754417629351075742802192325887743694534804299522746725009246313852959387584472043029565328375256481987907660723770524268690741725806182645048932510261424109765745900586567229332476547<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10232+89

c227

composite cofactor 合成数の残り
10858205731648013453751229741154589735923698480182866398899364885778782892269068075343154837066108073182569318390546996130688258623350085767979964675690269957895431767272088630755776920808697051637835958807994861344266401457953<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10233+89

c199

composite cofactor 合成数の残り
2612896254673198094548397112431150990447664968209668415623302362746333584692459778900586193210357437154521241137793647705010198851756969724195208096101642352759787555298214284063408366701126418610239<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10235+89

c179

composite cofactor 合成数の残り
38911101315705169703016659485072545466173529471675843221027431317270273835072641869831691193338987545780783817782600390011197416447233864536126832092447768715239597338129782548373<179>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10236+89

c200

composite cofactor 合成数の残り
26704654931868263461676334143703281577118843615231912076307791579148712745341672155892157740623107387013075585280630099409803112957265295903313785629898607713974152234130454376159091592828495665864467<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10237+89

c207

composite cofactor 合成数の残り
880658627779130535992215533272469901266608185018259480680102918552058628285152591899607937275561483218359128182535374194583932288971597697475111111670943793503674562948648498220278881409802277009484544013107<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10238+89

c233

composite cofactor 合成数の残り
16689327739313428973498318565402380298679491838493916224187071949087718863843973356307558456949666686815236882855970009217363989261540336345180449866594617321604437928930895016481773190700876511355175839970830696419550521811555520599<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62024ebinaOctober 13, 2022 08:30:15 UTC 2022 年 10 月 13 日 (木) 17 時 30 分 15 秒 (日本時間)

55×10239+89

c231

composite cofactor 合成数の残り
572159872234062352977539158066140477822002698252694573186449383033851249203972694992931253979356307027751826894612729645696128511724529910265683023395828562716333179560894420518882392223678387822290093116227065917145722811967584173<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10240+89

c190

composite cofactor 合成数の残り
1899582306502161440603039891779333400871403617203333439027951922709740314033052192678349657311055112293042166154139824440552414740715613207020301517556907200500394026860139236567281955179503<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10241+89

c218

composite cofactor 合成数の残り
69823733774445635746305597103359829087511502207841975293110775999684273746788108342533454806709015664435826641531231490151176951894881254452287502459892959224373063626879414374593614975814219368297148560497841941388939<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10242+89

c213

composite cofactor 合成数の残り
821064366119859185109329492283393140732408815435626215816302145230128086769972684293154747703296479429234773357142964518606928282240698889819562868406905059013380262449070885016705253227902259507221389319706241223<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10243+89

c216

composite cofactor 合成数の残り
293287620640490599654713491972912833348415824164741962182292533554714956799779768820663357143670837131261467128819545425647160933917631571450992522207377971251263465634257277612958932071686999731538073358915857614507<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10245+89

c199

composite cofactor 合成数の残り
2342414651091039034628454340239965532290588069947185353845058103922792865438332747341754897754965377060825117702532391411794219818112103949123926756332593148558768694659492113184988429298144744899939<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10246+89

c246

composite cofactor 合成数の残り
109126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984127<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10247+89

c192

composite cofactor 合成数の残り
889617593471364203986233754628004287779059137664420381061926932060370373361564343603314744377437146262177672000624392329851137699898506038888410225778529920433494132947601608129595830332833777<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10248+89

c229

composite cofactor 合成数の残り
6830133577444033678152470149397822989248481767360194798690670302423019091829016867145812657546422767358761987313072190799240869260654668950142661244409604017114086484022312681507013024432159949216973222404505405548252951103414297<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10249+89

c175

composite cofactor 合成数の残り
1157245197649486278296660450201956919004174077027332025378812450203879872965627426969920296753229996321915101950743843307150744013052338451633243576293785057425705713918415103<175>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10250+89

c226

composite cofactor 合成数の残り
1330582599714344646458796960312427292662704816881616843877223322888905809937740132611012419445333874606084036177301386619774635799342563293579248635096642441097185798556218297315805171863057326386000550130647905457822315366247<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10253+89

c236

composite cofactor 合成数の残り
20223498406211948993364586902447265901227613980877695131925533949459593875065138517863776281477720461079752122716103087462852739301106405687008183089642120193884711322732312130856556567880613762513761893274326687901228094987062212734513<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10260+89

c231

composite cofactor 合成数の残り
295483724128457323525082116569122200727006440145970568362426891685047775481001846549973343733393948096378968655735506415158909987843586945309681485936620491750158078191711039964914380722410930757038026509605226973339535340124731107<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10261+89

c245

composite cofactor 合成数の残り
13749981109047101426897338104009325164767184634590174135787981073584331602943869070424151028333795290215405793146560742144160261317271556913802581143371769548635439044382249044015994824524154105623069416989876828888329658170700148602137073991951<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10263+89

c167

composite cofactor 合成数の残り
14899692676686987500789516588445756781975125138750025491867260958620641000274977248233477747511015538551891005272723183449137487284817459852861519817484980180032000187<167>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosOctober 7, 2022 10:35:09 UTC 2022 年 10 月 7 日 (金) 19 時 35 分 9 秒 (日本時間)
4511e64480Ignacio SantosOctober 11, 2022 10:37:34 UTC 2022 年 10 月 11 日 (火) 19 時 37 分 34 秒 (日本時間)
5043e61792 / 6452Dmitry DomanovJuly 8, 2024 21:40:41 UTC 2024 年 7 月 9 日 (火) 6 時 40 分 41 秒 (日本時間)

55×10265+89

c223

composite cofactor 合成数の残り
1971589935850108884635252705193123082258172896657455250068465456089022877918118061044154877220678121088284817583524298411483280646519641575461327559991674121784022698568377524485883800505761389127914384187137544024087284493<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10266+89

c229

composite cofactor 合成数の残り
1837141484985486535196316857759449660220331225967563441289165207871500570397731128485555471298308952192705796803294069708009950060379196394049127992960935289256404932806088652409752458015374822624158047629347574966846839491208689<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10269+89

c266

composite cofactor 合成数の残り
21560510552889892432652805218427572364913601154075328503778969485997428419104964405557123592686674820459748486844168469909367453821306488537648571518173550349672280239596073635023677360679900900053313262458055006742559663812839088029604541035531721391162542729011823<266>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10270+89

c216

composite cofactor 合成数の残り
150047319274855267031041847187814014024241103113131654632386600454302228226880680941863163667034254501938403624779873467461853702559242891708505193627428008777927641863004832122393665677690553378306793451987071444071<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10271+89

c190

composite cofactor 合成数の残り
5437115129862981373867700629542842396518941140444033768554117065652239996845678149371556527489805705442037936660612599346638691172171321870698184505239446479851193854726890559639151628592249<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10272+89

c215

composite cofactor 合成数の残り
72005230469523477331299393283675845608663605580920218644671646228240075331394049759667138887696049837862239760724425812232687748013078710321448760398904770856010608141468112593089463638949882002384320213585855973563<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10273+89

c267

composite cofactor 合成数の残り
399679628436888726342817454773851964595419281952148087610007094240735731422730998402037244095307575129451144819073607151376028651826256852906909178894101873948079552465784953059008351531110161181637851654850974145698601330587258143683169569329067836068217493387264213<267>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10276+89

c270

composite cofactor 合成数の残り
516756010962292896405039299388589320731552129857816556652130601945212437832372768469028951941390322464018936646164043087003447269953565620233865355256415835929703443684606405925488969570474658623462707240770192701510979543151607344204075855723525687584273509824114293351<270>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10277+89

c247

composite cofactor 合成数の残り
5101566400963496384173010033278922125604920652935130158745812046288375820024615786435007324703120626405004433020210168106318485006210612403022819284545858017422311854566071665623485766397495178190155736992591336373745013150208218926522606072818799<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10278+89

c196

composite cofactor 合成数の残り
8511332817012920209995411273774334958424338083149817820791015426081865191326724794879939712446250636652424757341284838789692163637291429175709717300352999914206310247025599094325785501236979918099<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10279+89

c278

composite cofactor 合成数の残り
14412997903563941299790356394129979035639412997903563941299790356394129979035639412997903563941299790356394129979035639412997903563941299790356394129979035639412997903563941299790356394129979035639412997903563941299790356394129979035639412997903563941299790356394129979035639413<278>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10280+89

c269

composite cofactor 合成数の残り
18489947676509900544887172131402025237365860909116361839929695425714602845806836699922598201237225949644356109004017193031431635166490024715412901497486472138873221764745964921947769284769394716746665110913400350059606982094569414947232266833981019727175582673112756789<269>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10282+89

c252

composite cofactor 合成数の残り
772628202994815076507246043501678303466932611955439477419749636475882831519002243561612522100239905597553256203345696540006204888497114672910446172387936108424107150374221798723366274339706383784168223457894693456376250462103689157110417379625807353733<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10285+89

c218

composite cofactor 合成数の残り
63330758925878778519261278956100313877854307996209509796220328946613212990711066195510535405672112010467726068213117206298528711944394529051721330623142420343928089642912304632176871694287121796833218443202598868529459<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10287+89

c255

composite cofactor 合成数の残り
439753009816798738102018032382605973851325237155766001212088441249774594268931827544466498690784297663751663560249369387372032469433844635241634173737688642139914727368893917284171351934795892582897128728600677378966499667899913416692723498440297598567427<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10288+89

c201

composite cofactor 合成数の残り
831238606441890077970792204656131270484765463283790221960410763318751489366667595441154134792561959616216873568588816092874010759119379494728856819283145696724083234446157359760128733124788797458206873<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10289+89

c266

composite cofactor 合成数の残り
70698111617858837620748580296802346811421382989204014894758127427888182546128089150893776061785361658973325026254641342579734876839578008365342114180256522756308731974753657038130593808717203429336222991680342907121557089822084673132591564972844654288044529130165017<266>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10290+89

c246

composite cofactor 合成数の残り
674531594222934529896546835293705122714495792003965075685978335712995657253089387737472796724802149573844336178432635945863306816305265845129502711219307975971336459770020029203153522880939117258878023203786247037109230507145347480496939083753773<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10295+89

c282

composite cofactor 合成数の残り
195415588447154607048042696432389019082181948825837492505482720861194487743707061737551464374145260243681940288766267253159473090767850576264148623467185367975323672665650735679538916533544657564916704023642919735440384124245048111240635127068835459548707133054213756034192123978347<282>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10296+89

c266

composite cofactor 合成数の残り
18699969380851245792522527624493646006848193545660687490016018733548948308185998877011998576874945870355012418067510766677900420660835531310097604627652151337315429001497541614028816159541438183010186290828280496331778324104495713692272177565722683897598696990280839<266>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10297+89

c230

composite cofactor 合成数の残り
11116609383406454732777059467533217633567109233297046308380660017448770614819503806331311721077763626895784212709296770835888564963791518055235740340395530076701408510820198620504153761724787796472944134094891246460450261465784931<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10298+89

c296

composite cofactor 合成数の残り
58312128922815945716709075487701441899915182357930449533502968617472434266327396098388464800678541136556403731976251060220525869380831212892281594571670907548770144189991518235793044953350296861747243426632739609838846480067854113655640373197625106022052586938083121289228159457167090754877014419<296>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10300+89

c266

composite cofactor 合成数の残り
12955329060173251513679503111312050086093955314835734122933585307766207653100584960107655351669190976403982665266116573977247283491583292272385484409787249168347440779819964888236733308222096139780109996674229461876816955276635403742447322050450282154141877235602739<266>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovOctober 9, 2022 11:54:26 UTC 2022 年 10 月 9 日 (日) 20 時 54 分 26 秒 (日本時間)
4511e63584Dmitry DomanovOctober 9, 2022 11:54:26 UTC 2022 年 10 月 9 日 (日) 20 時 54 分 26 秒 (日本時間)
5043e6130 / 6674Dmitry DomanovOctober 9, 2022 11:54:26 UTC 2022 年 10 月 9 日 (日) 20 時 54 分 26 秒 (日本時間)