Table of contents 目次

4×10103-2299

c98

name 名前Ignacio Santos
date 日付December 28, 2021 19:13:32 UTC 2021 年 12 月 29 日 (水) 4 時 13 分 32 秒 (日本時間)
composite number 合成数
51758427889511283984260262078799618540386454301837036001868479246811357351831795461044666229307951<98>
prime factors 素因数
4214586868910929900547898976789300360569287667551<49>
12280783265213825770841539504736978605158343620401<50>
factorization results 素因数分解の結果
N=51758427889511283984260262078799618540386454301837036001868479246811357351831795461044666229307951
  ( 98 digits)
SNFS difficulty: 104 digits.
Divisors found:
 r1=4214586868910929900547898976789300360569287667551 (pp49)
 r2=12280783265213825770841539504736978605158343620401 (pp50)
Version: Msieve v. 1.52 (SVN 927)
Total time: 0.16 hours.
Scaled time: 1.29 units (timescale=7.849).
Factorization parameters were as follows:
n: 51758427889511283984260262078799618540386454301837036001868479246811357351831795461044666229307951
m: 100000000000000000000000000
deg: 4
c4: 2
c0: -1145
skew: 4.89
# Murphy_E = 2.151e-07
type: snfs
lss: 1
rlim: 380000
alim: 380000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2Factor base limits: 380000/380000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [190000, 280001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 40702 x 40927
Total sieving time: 0.16 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,104.000,4,0,0,0,0,0,0,0,0,380000,380000,25,25,44,44,2.2,2.2,10000
total time: 0.16 hours.
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
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

4×10111-2299

c101

name 名前Ignacio Santos
date 日付December 28, 2021 19:17:32 UTC 2021 年 12 月 29 日 (水) 4 時 17 分 32 秒 (日本時間)
composite number 合成数
93385849684897537199929114714371296076718342486050227281305468720717389437975284105393242827736250413<101>
prime factors 素因数
138592874034313152681286666405702239218191<42>
673814222669030204963237792874858880053728845486766115530243<60>
factorization results 素因数分解の結果
N=93385849684897537199929114714371296076718342486050227281305468720717389437975284105393242827736250413
  ( 101 digits)
SNFS difficulty: 112 digits.
Divisors found:
 r1=138592874034313152681286666405702239218191 (pp42)
 r2=673814222669030204963237792874858880053728845486766115530243 (pp60)
Version: Msieve v. 1.52 (SVN 927)
Total time: 0.37 hours.
Scaled time: 2.87 units (timescale=7.855).
Factorization parameters were as follows:
n: 93385849684897537199929114714371296076718342486050227281305468720717389437975284105393242827736250413
m: 10000000000000000000000000000
deg: 4
c4: 2
c0: -1145
skew: 4.89
# Murphy_E = 9.299e-08
type: snfs
lss: 1
rlim: 520000
alim: 520000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 520000/520000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [260000, 500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 56698 x 56923
Total sieving time: 0.36 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,112.000,4,0,0,0,0,0,0,0,0,520000,520000,25,25,45,45,2.2,2.2,20000
total time: 0.37 hours.
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
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

4×10128-2299

c111

name 名前Ignacio Santos
date 日付December 28, 2021 21:48:13 UTC 2021 年 12 月 29 日 (水) 6 時 48 分 13 秒 (日本時間)
composite number 合成数
165303639590942984171442753897193078514649417472506027385798083022476204586699908656867185266044800946540785607<111>
prime factors 素因数
514298694864065770235367287645838609928594467499<48>
321415631114199833661380037236447252079669751133682724111191893<63>
factorization results 素因数分解の結果
N=165303639590942984171442753897193078514649417472506027385798083022476204586699908656867185266044800946540785607
  ( 111 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=514298694864065770235367287645838609928594467499 (pp48)
 r2=321415631114199833661380037236447252079669751133682724111191893 (pp63)
Version: Msieve v. 1.52 (SVN 927)
Total time: 1.73 hours.
Scaled time: 13.47 units (timescale=7.788).
Factorization parameters were as follows:
n: 165303639590942984171442753897193078514649417472506027385798083022476204586699908656867185266044800946540785607
m: 100000000000000000000000000000000
deg: 4
c4: 4
c0: -229
skew: 2.75
# Murphy_E = 1.824e-08
type: snfs
lss: 1
rlim: 970000
alim: 970000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 970000/970000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [485000, 885001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 112080 x 112311
Total sieving time: 1.72 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,128.000,4,0,0,0,0,0,0,0,0,970000,970000,26,26,47,47,2.3,2.3,100000
total time: 1.73 hours.
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
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

4×10129-2299

c106

name 名前Ignacio Santos
date 日付December 28, 2021 21:54:16 UTC 2021 年 12 月 29 日 (水) 6 時 54 分 16 秒 (日本時間)
composite number 合成数
1725991242789491662076453483724904969199110993126734072312933642353675536778591193314983607622034138099997<106>
prime factors 素因数
527841615515135199097709639932013116859744207<45>
3269903683333208157777152914608857991115090310521462705925971<61>
factorization results 素因数分解の結果
N=1725991242789491662076453483724904969199110993126734072312933642353675536778591193314983607622034138099997
  ( 106 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=527841615515135199097709639932013116859744207 (pp45)
 r2=3269903683333208157777152914608857991115090310521462705925971 (pp61)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.03 hours.
Scaled time: 15.92 units (timescale=7.825).
Factorization parameters were as follows:
n: 1725991242789491662076453483724904969199110993126734072312933642353675536778591193314983607622034138099997
m: 100000000000000000000000000000000
deg: 4
c4: 40
c0: -229
skew: 1.55
# Murphy_E = 1.423e-08
type: snfs
lss: 1
rlim: 1010000
alim: 1010000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1010000/1010000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [505000, 1005001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 127541 x 127778
Total sieving time: 2.02 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,129.000,4,0,0,0,0,0,0,0,0,1010000,1010000,26,26,47,47,2.3,2.3,100000
total time: 2.03 hours.
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
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

4×10137-2299

c135

name 名前Ignacio Santos
date 日付December 29, 2021 09:10:05 UTC 2021 年 12 月 29 日 (水) 18 時 10 分 5 秒 (日本時間)
composite number 合成数
407747196738022426095820591233435270132517838939857288481141692150866462793068297655453618756371049949031600407747196738022426095820591<135>
prime factors 素因数
3166797006865811619474971946405371567316378023359<49>
128756973009006041347822917232461308289449683686387962120518252225305489746569730364049<87>
factorization results 素因数分解の結果
N=407747196738022426095820591233435270132517838939857288481141692150866462793068297655453618756371049949031600407747196738022426095820591
  ( 135 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=3166797006865811619474971946405371567316378023359 (pp49)
 r2=128756973009006041347822917232461308289449683686387962120518252225305489746569730364049 (pp87)
Version: Msieve v. 1.52 (SVN 927)
Total time: 3.40 hours.
Scaled time: 26.93 units (timescale=7.911).
Factorization parameters were as follows:
n: 407747196738022426095820591233435270132517838939857288481141692150866462793068297655453618756371049949031600407747196738022426095820591
m: 10000000000000000000000000000000000
deg: 4
c4: 40
c0: -229
skew: 1.55
# Murphy_E = 5.762e-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, 1590001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 244528 x 244765
Total sieving time: 3.36 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: 3.40 hours.
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
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

4×10138-2299

c104

name 名前Ignacio Santos
date 日付December 29, 2021 09:30:36 UTC 2021 年 12 月 29 日 (水) 18 時 30 分 36 秒 (日本時間)
composite number 合成数
33544925164220955580809039348834422629763112367645205561928139789438348171104573605864873273483413739587<104>
prime factors 素因数
18408499056493910011287946005272155129<38>
1822252051146310852691709109119095477085285065386951635981422699803<67>
factorization results 素因数分解の結果
N=33544925164220955580809039348834422629763112367645205561928139789438348171104573605864873273483413739587
  ( 104 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=18408499056493910011287946005272155129 (pp38)
 r2=1822252051146310852691709109119095477085285065386951635981422699803 (pp67)
Version: Msieve v. 1.52 (SVN 927)
Total time: 5.02 hours.
Scaled time: 39.28 units (timescale=7.831).
Factorization parameters were as follows:
n: 33544925164220955580809039348834422629763112367645205561928139789438348171104573605864873273483413739587
m: 20000000000000000000000000000000000
deg: 4
c4: 25
c0: -229
skew: 1.74
# Murphy_E = 5.023e-09
type: snfs
lss: 1
rlim: 1430000
alim: 1430000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1430000/1430000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [715000, 1215001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 180692 x 180917
Total sieving time: 4.99 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,138.000,4,0,0,0,0,0,0,0,0,1430000,1430000,26,26,48,48,2.3,2.3,100000
total time: 5.02 hours.
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
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

4×10139-2299

c133

name 名前Ignacio Santos
date 日付December 29, 2021 11:49:40 UTC 2021 年 12 月 29 日 (水) 20 時 49 分 40 秒 (日本時間)
composite number 合成数
6679929667020535940777079558129332456258568053536964309302787350951981826583347903929919521877354153338119502939753547334900110836733<133>
prime factors 素因数
2894807269750626822805164270082606978885515229<46>
2307555924991157871918323818679998415018881096137759993744753808325463755418170908002977<88>
factorization results 素因数分解の結果
N=6679929667020535940777079558129332456258568053536964309302787350951981826583347903929919521877354153338119502939753547334900110836733
  ( 133 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=2894807269750626822805164270082606978885515229 (pp46)
 r2=2307555924991157871918323818679998415018881096137759993744753808325463755418170908002977 (pp88)
Version: Msieve v. 1.52 (SVN 927)
Total time: 5.10 hours.
Scaled time: 39.99 units (timescale=7.837).
Factorization parameters were as follows:
n: 6679929667020535940777079558129332456258568053536964309302787350951981826583347903929919521877354153338119502939753547334900110836733
m: 100000000000000000000000000000000000
deg: 4
c4: 2
c0: -1145
skew: 4.89
# Murphy_E = 4.178e-09
type: snfs
lss: 1
rlim: 1530000
alim: 1530000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1530000/1530000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [765000, 1265001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 214222 x 214446
Total sieving time: 5.07 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,140.000,4,0,0,0,0,0,0,0,0,1530000,1530000,26,26,48,48,2.3,2.3,100000
total time: 5.10 hours.
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
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

4×10141-2299

c107

name 名前Ignacio Santos
date 日付December 29, 2021 12:36:18 UTC 2021 年 12 月 29 日 (水) 21 時 36 分 18 秒 (日本時間)
composite number 合成数
81290850273843689729343580511599892269635612219066037468264240707811539108826533286552649504145988688463191<107>
prime factors 素因数
449473448731162199051035702550401387411167077501<48>
180857958358437197785502995515542690145010244121151712910691<60>
factorization results 素因数分解の結果
N=81290850273843689729343580511599892269635612219066037468264240707811539108826533286552649504145988688463191
  ( 107 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=449473448731162199051035702550401387411167077501 (pp48)
 r2=180857958358437197785502995515542690145010244121151712910691 (pp60)
Version: Msieve v. 1.52 (SVN 927)
Total time: 6.06 hours.
Scaled time: 47.05 units (timescale=7.758).
Factorization parameters were as follows:
n: 81290850273843689729343580511599892269635612219066037468264240707811539108826533286552649504145988688463191
m: 100000000000000000000000000000000000
deg: 4
c4: 40
c0: -229
skew: 1.55
# Murphy_E = 3.641e-09
type: snfs
lss: 1
rlim: 1600000
alim: 1600000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1600000/1600000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [800000, 1400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 219585 x 219813
Total sieving time: 6.03 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,141.000,4,0,0,0,0,0,0,0,0,1600000,1600000,26,26,48,48,2.3,2.3,100000
total time: 6.06 hours.
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
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

4×10146-2299

c138

name 名前Ignacio Santos
date 日付December 29, 2021 18:29:51 UTC 2021 年 12 月 30 日 (木) 3 時 29 分 51 秒 (日本時間)
composite number 合成数
340595153228961303488577447148098137142653067972618155785844029781595920970456612071758463561571858995755718626895101553949804378875722187<138>
prime factors 素因数
56030219818244186919799909279491814834440013168882158163452796153<65>
6078775959362896853072397540540833228364485559567945947435611177012023779<73>
factorization results 素因数分解の結果
N=340595153228961303488577447148098137142653067972618155785844029781595920970456612071758463561571858995755718626895101553949804378875722187
  ( 138 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=56030219818244186919799909279491814834440013168882158163452796153 (pp65)
 r2=6078775959362896853072397540540833228364485559567945947435611177012023779 (pp73)
Version: Msieve v. 1.52 (SVN 927)
Total time: 9.67 hours.
Scaled time: 76.23 units (timescale=7.886).
Factorization parameters were as follows:
n: 340595153228961303488577447148098137142653067972618155785844029781595920970456612071758463561571858995755718626895101553949804378875722187
m: 2000000000000000000000000000000000000
deg: 4
c4: 25
c0: -229
skew: 1.74
# Murphy_E = 1.992e-09
type: snfs
lss: 1
rlim: 1940000
alim: 1940000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1940000/1940000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [970000, 1970001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 286268 x 286497
Total sieving time: 9.62 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,146.000,4,0,0,0,0,0,0,0,0,1940000,1940000,26,26,49,49,2.3,2.3,100000
total time: 9.67 hours.
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
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

4×10149-2299

c138

name 名前Ignacio Santos
date 日付December 29, 2021 23:17:40 UTC 2021 年 12 月 30 日 (木) 8 時 17 分 40 秒 (日本時間)
composite number 合成数
347708606781677684268288575969482501989369246047059263149859468282745732733681171320575197142568710876006346911929539062735315853976184917<138>
prime factors 素因数
6389176104507590198292616294626556177<37>
54421509298572600366697084271359265347324001222658922783777368180660753475062937858395676938606287621<101>
factorization results 素因数分解の結果
N=347708606781677684268288575969482501989369246047059263149859468282745732733681171320575197142568710876006346911929539062735315853976184917
  ( 138 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=6389176104507590198292616294626556177 (pp37)
 r2=54421509298572600366697084271359265347324001222658922783777368180660753475062937858395676938606287621 (pp101)
Version: Msieve v. 1.52 (SVN 927)
Total time: 11.80 hours.
Scaled time: 92.88 units (timescale=7.874).
Factorization parameters were as follows:
n: 347708606781677684268288575969482501989369246047059263149859468282745732733681171320575197142568710876006346911929539062735315853976184917
m: 10000000000000000000000000000000000000
deg: 4
c4: 40
c0: -229
skew: 1.55
# Murphy_E = 1.434e-09
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1100000, 2300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 335802 x 336028
Total sieving time: 11.75 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,149.000,4,0,0,0,0,0,0,0,0,2200000,2200000,26,26,49,49,2.3,2.3,100000
total time: 11.80 hours.
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
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

4×10154-2299

c121

name 名前Ignacio Santos
date 日付January 1, 2022 13:31:22 UTC 2022 年 1 月 1 日 (土) 22 時 31 分 22 秒 (日本時間)
composite number 合成数
4904642149016713582588996694153289301027764924453361129510573230517617197488602933238511745444049356222310588456641507791<121>
prime factors 素因数
56090402174928542728739397612865550240439784198731367043549<59>
87441736176550456877704897454291841982784267008194379010741659<62>
factorization results 素因数分解の結果
N=4904642149016713582588996694153289301027764924453361129510573230517617197488602933238511745444049356222310588456641507791
  ( 121 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=56090402174928542728739397612865550240439784198731367043549 (pp59)
 r2=87441736176550456877704897454291841982784267008194379010741659 (pp62)
Version: Msieve v. 1.52 (SVN 927)
Total time: 10.29 hours.
Scaled time: 81.00 units (timescale=7.868).
Factorization parameters were as follows:
n: 4904642149016713582588996694153289301027764924453361129510573230517617197488602933238511745444049356222310588456641507791
m: 10000000000000000000000000000000
deg: 5
c5: 2
c0: -1145
skew: 3.56
# Murphy_E = 9.021e-10
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2700000/2700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1350000, 2150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 420922 x 421147
Total sieving time: 10.22 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,155.000,5,0,0,0,0,0,0,0,0,2700000,2700000,27,27,50,50,2.4,2.4,100000
total time: 10.29 hours.
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
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

4×10155-2299

c138

name 名前Ignacio Santos
date 日付January 2, 2022 14:09:26 UTC 2022 年 1 月 2 日 (日) 23 時 9 分 26 秒 (日本時間)
composite number 合成数
126235051618258917378042276205090461397807016153304964731857797318853409875826264244088919468968369234125603506279350643017619723105537409<138>
prime factors 素因数
86590196602846677956513523210420731113219<41>
34443452637512191447214154856337423847411606043<47>
42325739753963892501726376487526494242525299548977<50>
factorization results 素因数分解の結果
N=126235051618258917378042276205090461397807016153304964731857797318853409875826264244088919468968369234125603506279350643017619723105537409
  ( 138 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=86590196602846677956513523210420731113219 (pp41)
 r2=34443452637512191447214154856337423847411606043 (pp47)
 r3=42325739753963892501726376487526494242525299548977 (pp50)
Version: Msieve v. 1.52 (SVN 927)
Total time: 11.13 hours.
Scaled time: 87.67 units (timescale=7.874).
Factorization parameters were as follows:
n: 126235051618258917378042276205090461397807016153304964731857797318853409875826264244088919468968369234125603506279350643017619723105537409
m: 10000000000000000000000000000000
deg: 5
c5: 4
c0: -229
skew: 2.25
# Murphy_E = 8.941e-10
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2700000/2700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1350000, 2250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 508218 x 508444
Total sieving time: 11.01 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,155.000,5,0,0,0,0,0,0,0,0,2700000,2700000,27,27,50,50,2.4,2.4,100000
total time: 11.13 hours.
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
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

4×10158-2299

c141

name 名前Ignacio Santos
date 日付January 3, 2022 11:27:05 UTC 2022 年 1 月 3 日 (月) 20 時 27 分 5 秒 (日本時間)
composite number 合成数
463254126598640253579522682475638128436637789982371084855114351038429972511214688838967245678152420886488234680818537049737343134549259063041<141>
prime factors 素因数
159406189190259730044443527431506113558597412448983<51>
2906123839681795017168013984737159052395825815871867517338880993193737783009923995820503527<91>
factorization results 素因数分解の結果
N=463254126598640253579522682475638128436637789982371084855114351038429972511214688838967245678152420886488234680818537049737343134549259063041
  ( 141 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=159406189190259730044443527431506113558597412448983 (pp51)
 r2=2906123839681795017168013984737159052395825815871867517338880993193737783009923995820503527 (pp91)
Version: Msieve v. 1.52 (SVN 927)
Total time: 14.46 hours.
Scaled time: 105.87 units (timescale=7.321).
Factorization parameters were as follows:
n: 463254126598640253579522682475638128436637789982371084855114351038429972511214688838967245678152420886488234680818537049737343134549259063041
m: 20000000000000000000000000000000
deg: 5
c5: 125
c0: -229
skew: 1.13
# Murphy_E = 5.937e-10
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1550000, 2750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 570993 x 571217
Total sieving time: 14.33 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,158.000,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000
total time: 14.46 hours.
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
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

4×10160-2299

c144

name 名前Ignacio Santos
date 日付January 3, 2022 19:30:23 UTC 2022 年 1 月 4 日 (火) 4 時 30 分 23 秒 (日本時間)
composite number 合成数
142548808887834648188088025577489106567164197440204037955080742805646134967864720082131311478659733113543110120458460127005428149418389644526683<144>
prime factors 素因数
93727676759746990716198173134645563173<38>
1520882772473186453161137793305445197062042636883827525462209888852652553934238024149027676123200491711871<106>
factorization results 素因数分解の結果
N=142548808887834648188088025577489106567164197440204037955080742805646134967864720082131311478659733113543110120458460127005428149418389644526683
  ( 144 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=93727676759746990716198173134645563173 (pp38)
 r2=1520882772473186453161137793305445197062042636883827525462209888852652553934238024149027676123200491711871 (pp106)
Version: Msieve v. 1.52 (SVN 927)
Total time: 16.31 hours.
Scaled time: 127.75 units (timescale=7.831).
Factorization parameters were as follows:
n: 142548808887834648188088025577489106567164197440204037955080742805646134967864720082131311478659733113543110120458460127005428149418389644526683
m: 100000000000000000000000000000000
deg: 5
c5: 4
c0: -229
skew: 2.25
# Murphy_E = 5.734e-10
type: snfs
lss: 1
rlim: 3300000
alim: 3300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3300000/3300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1650000, 2950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 605120 x 605345
Total sieving time: 16.17 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,160.000,5,0,0,0,0,0,0,0,0,3300000,3300000,27,27,51,51,2.4,2.4,100000
total time: 16.31 hours.
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
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

4×10161-2299

c152

name 名前Ignacio Santos
date 日付January 3, 2022 22:33:14 UTC 2022 年 1 月 4 日 (火) 7 時 33 分 14 秒 (日本時間)
composite number 合成数
24378861903852901456853111271273042055163037076706280495549971866125991609133745614128239029858368815595125340977473706766786010770484039357525009825399<152>
prime factors 素因数
2151631190203283511649743257209607494111287971<46>
36166250286392691373651503430364128562663637119<47>
313286811417981715036830216862575548746942442535254135927651<60>
factorization results 素因数分解の結果
N=24378861903852901456853111271273042055163037076706280495549971866125991609133745614128239029858368815595125340977473706766786010770484039357525009825399
  ( 152 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=2151631190203283511649743257209607494111287971 (pp46)
 r2=36166250286392691373651503430364128562663637119 (pp47)
 r3=313286811417981715036830216862575548746942442535254135927651 (pp60)
Version: Msieve v. 1.52 (SVN 927)
Total time: 19.46 hours.
Scaled time: 153.62 units (timescale=7.893).
Factorization parameters were as follows:
n: 24378861903852901456853111271273042055163037076706280495549971866125991609133745614128239029858368815595125340977473706766786010770484039357525009825399
m: 100000000000000000000000000000000
deg: 5
c5: 40
c0: -229
skew: 1.42
# Murphy_E = 4.284e-10
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1750000, 3350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 733613 x 733838
Total sieving time: 19.28 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,161.000,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 19.46 hours.
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
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

4×10162-2299

c133

name 名前Ignacio Santos
date 日付January 4, 2022 09:38:57 UTC 2022 年 1 月 4 日 (火) 18 時 38 分 57 秒 (日本時間)
composite number 合成数
1470643485669389466007471315820976399826565407015867585842060375567098799003020804569296753125951814420249404471757185253125240505433<133>
prime factors 素因数
11439046945618785697478474430722581791750891757<47>
128563462730839962826231819121731031750695848577622418482010292877595992543677430560669<87>
factorization results 素因数分解の結果
N=1470643485669389466007471315820976399826565407015867585842060375567098799003020804569296753125951814420249404471757185253125240505433
  ( 133 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=11439046945618785697478474430722581791750891757 (pp47)
 r2=128563462730839962826231819121731031750695848577622418482010292877595992543677430560669 (pp87)
Version: Msieve v. 1.52 (SVN 927)
Total time: 19.81 hours.
Scaled time: 155.62 units (timescale=7.855).
Factorization parameters were as follows:
n: 1470643485669389466007471315820976399826565407015867585842060375567098799003020804569296753125951814420249404471757185253125240505433
m: 100000000000000000000000000000000
deg: 5
c5: 400
c0: -229
skew: 0.89
# Murphy_E = 4.139e-10
type: snfs
lss: 1
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1800000, 3400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 742201 x 742428
Total sieving time: 19.65 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,162.000,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000
total time: 19.81 hours.
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
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

4×10164-2299

c139

name 名前Ignacio Santos
date 日付January 4, 2022 13:23:26 UTC 2022 年 1 月 4 日 (火) 22 時 23 分 26 秒 (日本時間)
composite number 合成数
4725463387654093736323861195248139250704412255931666210299825031044640222687987534074759049449497990949260074467766942947107208845096322903<139>
prime factors 素因数
31292309972725004674372801437632184708025743338913828851488973<62>
151010372573098660417730390229611487145076014789618496896460329665044551135411<78>
factorization results 素因数分解の結果
N=4725463387654093736323861195248139250704412255931666210299825031044640222687987534074759049449497990949260074467766942947107208845096322903
  ( 139 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=31292309972725004674372801437632184708025743338913828851488973 (pp62)
 r2=151010372573098660417730390229611487145076014789618496896460329665044551135411 (pp78)
Version: Msieve v. 1.52 (SVN 927)
Total time: 21.81 hours.
Scaled time: 172.12 units (timescale=7.893).
Factorization parameters were as follows:
n: 4725463387654093736323861195248139250704412255931666210299825031044640222687987534074759049449497990949260074467766942947107208845096322903
m: 1000000000000000000000000000000000
deg: 5
c5: 2
c0: -1145
skew: 3.56
# Murphy_E = 3.696e-10
type: snfs
lss: 1
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2000000, 3700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 654568 x 654798
Total sieving time: 21.67 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,165.000,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,51,51,2.4,2.4,100000
total time: 21.81 hours.
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
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

4×10165-2299

c130

name 名前Ignacio Santos
date 日付January 4, 2022 19:47:53 UTC 2022 年 1 月 5 日 (水) 4 時 47 分 53 秒 (日本時間)
composite number 合成数
5160101666826207562057095284020813326824674711916924055509833220337921616957504729849035109152200355812173003366467760832781413893<130>
prime factors 素因数
726756421095099738132413423852576534237321278189702639917743707<63>
7100180358985754691013104755037419009270418372343340750973113856799<67>
factorization results 素因数分解の結果
N=5160101666826207562057095284020813326824674711916924055509833220337921616957504729849035109152200355812173003366467760832781413893
  ( 130 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=726756421095099738132413423852576534237321278189702639917743707 (pp63)
 r2=7100180358985754691013104755037419009270418372343340750973113856799 (pp67)
Version: Msieve v. 1.52 (SVN 927)
Total time: 23.61 hours.
Scaled time: 186.67 units (timescale=7.905).
Factorization parameters were as follows:
n: 5160101666826207562057095284020813326824674711916924055509833220337921616957504729849035109152200355812173003366467760832781413893
m: 1000000000000000000000000000000000
deg: 5
c5: 4
c0: -229
skew: 2.25
# Murphy_E = 3.659e-10
type: snfs
lss: 1
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2000000, 3900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 745822 x 746047
Total sieving time: 23.44 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,165.000,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,51,51,2.4,2.4,100000
total time: 23.61 hours.
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
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

4×10166-2299

c116

name 名前Bob Backstrom
date 日付January 2, 2022 02:01:11 UTC 2022 年 1 月 2 日 (日) 11 時 1 分 11 秒 (日本時間)
composite number 合成数
15698942087014372621288441938567293033837477854089031945685661595186479258156694798013295402580332790979911835894639<116>
prime factors 素因数
36350694537641337418251404913771166066996000619484769747<56>
431874611659979003741424521405953202541704917860315833362037<60>
factorization results 素因数分解の結果
CADO

STA:Sun 02 Jan 2022 11:26:27 AEDT (15,698,942,087,014,372,621,288,441,938,567,293,033,837,477,854,089,031,945,685,661,595,186,479,258,156,694,798,013,295,402,580,332,790,979,911,835,894,639 - C116)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 15698942087014372621288441938567293033837477854089031945685661595186479258156694798013295402580332790979911835894639 2>&1 | tee -a log147

Debug:root: Looking for parameter file for c116 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c115
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c115
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.1ueya_ek
Info:Database: Opened connection to database /tmp/cado.1ueya_ek/c115.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 1569894208701437262128844193856729303383747785408903194568566159518647925815669479801
3295402580332790979911835894639
Debug:root: Root parameter dictionary:
N = 15698942087014372621288441938567293033837477854089031945685661595186479258156694798013295402580332790979911835894639
lim0 = 5484593
lim1 = 2800829
lpb0 = 26
lpb1 = 26
name = c115
...
n: 15698942087014372621288441938567293033837477854089031945685661595186479258156694798013295402580332790979911835894639
skew: 6625890.726
c0: -48748243412000585621216193618370
c1: 19006423217186103271428761
c2: 4069254308174493801
c3: -490461920710
c4: -32400
Y0: -5579336624371767454472595756
Y1: 21313823315102071
# MurphyE (Bf=2.80e+06,Bg=5.48e+06,area=9.40e+13) = 2.06e-09
# f(x) = -32400*x^4-490461920710*x^3+4069254308174493801*x^2+19006423217186103271428761*x-48748243412000585621216193618370
# g(x) = 21313823315102071*x-5579336624371767454472595756
...
Info:Square Root: finished
Info:Square Root: Factors: 36350694537641337418251404913771166066996000619484769747 431874611659979003741424521405953202541704917860315833362037
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 308.6/45.3495
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 55681.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 56478/37.540/44.011/48.130/0.619
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 56478/36.800/43.244/45.110/1.002
Info:Polynomial Selection (size optimized): Total time: 1118.63
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 158.67
Info:Polynomial Selection (root optimized): Rootsieve time: 157.93
Info:Generate Factor Base: Total cpu/real time for makefb: 2.94/0.328473
Info:Generate Free Relations: Total cpu/real time for freerel: 54/3.66569
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6778431
Info:Lattice Sieving: Average J: 4096 for 86622 special-q, max bucket fill: 0.745337
Info:Lattice Sieving: Total CPU time: 70897.2s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 17.2/19.6427
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 19.6s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 90.33/29.0577
Info:Filtering - Singleton removal: Total cpu/real time for purge: 71.66/29.7855
Info:Filtering - Merging: Total cpu/real time for merge: 150.09/118.137
Info:Filtering - Merging: Total cpu/real time for replay: 16.02/12.4702
Info:Linear Algebra: Total cpu/real time for bwc: 4701.12/0.00032568
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 194.99
Info:Linear Algebra: Lingen CPU time 99.27, WCT time 9.98
Info:Linear Algebra: Mksol: WCT time 107.27
Info:Quadratic Characters: Total cpu/real time for characters: 15.98/3.79182
Info:Square Root: Total cpu/real time for sqrt: 308.6/45.3495
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 77602.4/5410.9
Info:root: Cleaning up computation data in /tmp/cado.1ueya_ek
36350694537641337418251404913771166066996000619484769747 431874611659979003741424521405953202541704917860315833362037

END:Sun 02 Jan 2022 12:56:39 AEDT (15,698,942,087,014,372,621,288,441,938,567,293,033,837,477,854,089,031,945,685,661,595,186,479,258,156,694,798,013,295,402,580,332,790,979,911,835,894,639 - C116)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosDecember 29, 2021 21:35:26 UTC 2021 年 12 月 30 日 (木) 6 時 35 分 26 秒 (日本時間)

4×10167-2299

c124

name 名前Ignacio Santos
date 日付January 5, 2022 09:14:51 UTC 2022 年 1 月 5 日 (水) 18 時 14 分 51 秒 (日本時間)
composite number 合成数
3578878884613430950343204168248016853892791624848687716329136047676726574047226504897620826900341355998819908329490396511009<124>
prime factors 素因数
61133145181011083220416603179986821<35>
58542364768189401827249152813051320238093625896601759586854935560165573142958221599349229<89>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3314138638
Step 1 took 4750ms
Step 2 took 2922ms
********** Factor found in step 2: 61133145181011083220416603179986821
Found prime factor of 35 digits: 61133145181011083220416603179986821
Prime cofactor 58542364768189401827249152813051320238093625896601759586854935560165573142958221599349229 has 89 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
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

4×10169-2299

c160

name 名前Bob Backstrom
date 日付January 5, 2022 08:00:11 UTC 2022 年 1 月 5 日 (水) 17 時 0 分 11 秒 (日本時間)
composite number 合成数
4038015301059776479775728420202344359204879095204083943767854336398652227150768294227993362574130517098625948786977937225555425675821908443639915929082716062301<160>
prime factors 素因数
92298767960725460272456407030691835619845710757838061502961416029648604594767<77>
43749395471649349103804251727209049213317336999275785058541806133829683793460634003<83>
factorization results 素因数分解の結果
Number: n
N=4038015301059776479775728420202344359204879095204083943767854336398652227150768294227993362574130517098625948786977937225555425675821908443639915929082716062301  ( 160 digits)
SNFS difficulty: 170 digits.
Divisors found:

Wed Jan  5 18:55:10 2022  p77 factor: 92298767960725460272456407030691835619845710757838061502961416029648604594767
Wed Jan  5 18:55:10 2022  p83 factor: 43749395471649349103804251727209049213317336999275785058541806133829683793460634003
Wed Jan  5 18:55:10 2022  elapsed time 00:14:26 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.290).
Factorization parameters were as follows:
#
# N = 4x10^169-229 = 8(167)38
#
n: 4038015301059776479775728420202344359204879095204083943767854336398652227150768294227993362574130517098625948786977937225555425675821908443639915929082716062301
m: 10000000000000000000000000000000000
deg: 5
c5: 2
c0: -1145
skew: 3.56
# Murphy_E = 2.348e-10
type: snfs
lss: 1
rlim: 4800000
alim: 4800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2715732 hash collisions in 20862500 relations (18895159 unique)
Msieve: matrix is 572456 x 572681 (192.0 MB)

Sieving start time : 2022/01/05 17:29:17
Sieving end time  : 2022/01/05 18:39:59

Total sieving time: 1hrs 10min 42secs.

Total relation processing time: 0hrs 4min 56sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 24sec.

Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,4800000,4800000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117851] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.153509] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798736)
[    0.152038] smpboot: Total of 16 processors activated (102389.88 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 4, 2022 23:01:53 UTC 2022 年 1 月 5 日 (水) 8 時 1 分 53 秒 (日本時間)

4×10173-2299

c121

name 名前Bob Backstrom
date 日付January 2, 2022 11:02:17 UTC 2022 年 1 月 2 日 (日) 20 時 2 分 17 秒 (日本時間)
composite number 合成数
7773168711257753074628566030613166033811281461816069763512164274553167176293841845416020707824872597090794059823769439483<121>
prime factors 素因数
191385923353002835324747714819261966180361353751255971<54>
40615153795404736364544458891110899349732445131936763893604044201673<68>
factorization results 素因数分解の結果
CADO

STA:Sun 02 Jan 2022 19:40:12 AEDT (7,773,168,711,257,753,074,628,566,030,613,166,033,811,281,461,816,069,763,512,164,274,553,167,176,293,841,845,416,020,707,824,872,597,090,794,059,823,769,439,483 - C121)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 7773168711257753074628566030613166033811281461816069763512164274553167176293841845416020707824872597090794059823769439483 2>&1 | tee -a log151

Debug:root: Looking for parameter file for c121 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c120
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c120
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.obv9ipbx
Info:Database: Opened connection to database /tmp/cado.obv9ipbx/c120.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 7773168711257753074628566030613166033811281461816069763512164274553167176293841845416
020707824872597090794059823769439483
Debug:root: Root parameter dictionary:
N = 7773168711257753074628566030613166033811281461816069763512164274553167176293841845416020707824872597090794059823769439483
lim0 = 5667620
lim1 = 18220697
lpb0 = 26
lpb1 = 27
name = c120
...
n: 7773168711257753074628566030613166033811281461816069763512164274553167176293841845416020707824872597090794059823769439483
skew: 33297.675
c0: 131542143349581296396690350
c1: 21962316766049155065771
c2: 10568845074639708812
c3: -62412948717261
c4: 1428642768
c5: 18000
Y0: -132509809130959450379478
Y1: 5395026925248798071
# MurphyE (Bf=1.82e+07,Bg=5.67e+06,area=2.45e+15) = 1.52e-09
# f(x) = 18000*x^5+1428642768*x^4-62412948717261*x^3+10568845074639708812*x^2+21962316766049155065771*x+131542143349581296396690350
# g(x) = 5395026925248798071*x-132509809130959450379478
...
Info:Square Root: finished
Info:Square Root: Factors: 191385923353002835324747714819261966180361353751255971 40615153795404736364544458891110899349732445131936763893604044201673
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 10356.5
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 10563/34.610/43.273/47.240/1.050
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 10563/33.510/38.470/43.730/1.157
Info:Polynomial Selection (size optimized): Total time: 1142.8
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 395.79
Info:Polynomial Selection (root optimized): Rootsieve time: 394.9
Info:Generate Factor Base: Total cpu/real time for makefb: 23.78/2.16622
Info:Generate Free Relations: Total cpu/real time for freerel: 148.71/9.91149
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 10386099
Info:Lattice Sieving: Average J: 7846.33 for 24198 special-q, max bucket fill: 0.68016
Info:Lattice Sieving: Total CPU time: 70499.3s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 26.12/34.0597
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 33.7s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 206.25/98.8084
Info:Filtering - Singleton removal: Total cpu/real time for purge: 143.06/80.9606
Info:Filtering - Merging: Total cpu/real time for merge: 418.23/341.649
Info:Filtering - Merging: Total cpu/real time for replay: 32.94/25.433
Info:Linear Algebra: Total cpu/real time for bwc: 19946.4/0.000324249
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 838.92
Info:Linear Algebra: Lingen CPU time 217.97, WCT time 21.35
Info:Linear Algebra: Mksol: WCT time 452.09
Info:Quadratic Characters: Total cpu/real time for characters: 36.83/8.68294
Info:Square Root: Total cpu/real time for sqrt: 872.93/125.665
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 93893.2/6712.28
Info:root: Cleaning up computation data in /tmp/cado.obv9ipbx
191385923353002835324747714819261966180361353751255971 40615153795404736364544458891110899349732445131936763893604044201673

END:Sun 02 Jan 2022 21:32:05 AEDT (7,773,168,711,257,753,074,628,566,030,613,166,033,811,281,461,816,069,763,512,164,274,553,167,176,293,841,845,416,020,707,824,872,597,090,794,059,823,769,439,483 - C121)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

4×10174-2299

c163

name 名前Bob Backstrom
date 日付January 5, 2022 03:22:34 UTC 2022 年 1 月 5 日 (水) 12 時 22 分 34 秒 (日本時間)
composite number 合成数
1336691031304385850589765539477892443233305863663592749760475985785054665996452773748484629092105994477963207674882619530958277393745221578820458303333079974031349<163>
prime factors 素因数
27144352288467582357618793898521135643003<41>
49243799118842334960623797034875866897312000200631755776784216281084912592436388646473911512363439807862655422857468520783<122>
factorization results 素因数分解の結果
Number: n
N=1336691031304385850589765539477892443233305863663592749760475985785054665996452773748484629092105994477963207674882619530958277393745221578820458303333079974031349  ( 163 digits)
SNFS difficulty: 175 digits.
Divisors found:

Wed Jan  5 14:17:46 2022  p41 factor: 27144352288467582357618793898521135643003
Wed Jan  5 14:17:46 2022  p122 factor: 49243799118842334960623797034875866897312000200631755776784216281084912592436388646473911512363439807862655422857468520783
Wed Jan  5 14:17:46 2022  elapsed time 00:15:48 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.300).
Factorization parameters were as follows:
#
# N = 4x10^174-229 = 8(172)38
#
n: 1336691031304385850589765539477892443233305863663592749760475985785054665996452773748484629092105994477963207674882619530958277393745221578820458303333079974031349
m: 100000000000000000000000000000000000
deg: 5
c5: 2
c0: -1145
skew: 3.56
# Murphy_E = 1.485e-10
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4719177 hash collisions in 30724772 relations (27475760 unique)
Msieve: matrix is 724111 x 724337 (243.0 MB)

Sieving start time : 2022/01/05 12:08:23
Sieving end time  : 2022/01/05 14:01:05

Total sieving time: 1hrs 52min 42secs.

Total relation processing time: 0hrs 7min 39sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 6sec.

Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,5800000,5800000,28,28,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116212] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5020K rodata, 2736K init, 4964K bss, 487280K reserved, 0K cma-reserved)
[    0.153541] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798280)
[    0.152035] smpboot: Total of 16 processors activated (102386.24 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 3, 2022 10:52:45 UTC 2022 年 1 月 3 日 (月) 19 時 52 分 45 秒 (日本時間)

4×10175-2299

c152

name 名前Eric Jeancolas
date 日付January 10, 2022 18:28:59 UTC 2022 年 1 月 11 日 (火) 3 時 28 分 59 秒 (日本時間)
composite number 合成数
56740316131419492626518495931574868434555589722258842785637956630599931035985464966774545117582730614988717169251653437474958611935648425683992331865161<152>
prime factors 素因数
3510134389377633299209112314011895097572659747827852891<55>
16164713323548809174490345739028742784934944676123915824725974975610931630315671264930603215388971<98>
factorization results 素因数分解の結果
56740316131419492626518495931574868434555589722258842785637956630599931035985464966774545117582730614988717169251653437474958611935648425683992331865161=3510134389377633299209112314011895097572659747827852891*16164713323548809174490345739028742784934944676123915824725974975610931630315671264930603215388971

cado polynomial
n: 56740316131419492626518495931574868434555589722258842785637956630599931035985464966774545117582730614988717169251653437474958611935648425683992331865161 
skew: 2.25
type: snfs
c0: -229
c5: 4
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 4*x^5-229
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 5900000
tasks.lim1 = 5900000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
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: 16164713323548809174490345739028742784934944676123915824725974975610931630315671264930603215388971 3510134389377633299209112314011895097572659747827852891
Info:Square Root: Total cpu/real time for sqrt: 145.66/47.4386
Info:Filtering - Singleton removal: Total cpu/real time for purge: 146.76/136.163
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22429151
Info:Lattice Sieving: Average J: 1893.17 for 853732 special-q, max bucket fill -bkmult 1.0,1s:1.157690
Info:Lattice Sieving: Total time: 133405s
Info:Linear Algebra: Total cpu/real time for bwc: 9177.93/2363.09
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 5787.43, WCT time 1482.3, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (24320 iterations)
Info:Linear Algebra: Lingen CPU time 132.1, WCT time 33.55
Info:Linear Algebra: Mksol: CPU time 3138.13,  WCT time 803.45, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12288 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 117.6/32.5636
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 88.11/101.077
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 101.0s
Info:Filtering - Merging: Merged matrix has 771100 rows and total weight 131168581 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 176.17/48.9826
Info:Filtering - Merging: Total cpu/real time for replay: 25.48/21.4428
Info:Generate Factor Base: Total cpu/real time for makefb: 2.51/1.39476
Info:Quadratic Characters: Total cpu/real time for characters: 24.62/9.73779
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 210.67/175.211
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 159.89999999999998s
Info:Square Root: Total cpu/real time for sqrt: 145.66/47.4386
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 257852/69903.3
Info:root: Cleaning up computation data in /tmp/cado.ypxezk3u
16164713323548809174490345739028742784934944676123915824725974975610931630315671264930603215388971 3510134389377633299209112314011895097572659747827852891
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
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
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 3, 2022 10:53:09 UTC 2022 年 1 月 3 日 (月) 19 時 53 分 9 秒 (日本時間)

4×10176-2299

c138

name 名前Eric Jeancolas
date 日付January 10, 2022 20:35:40 UTC 2022 年 1 月 11 日 (火) 5 時 35 分 40 秒 (日本時間)
composite number 合成数
235643613474342549813313627299818522805994985525027527017225887062893743785231209186178486684886139787690257753982590297166688771952482459<138>
prime factors 素因数
31359846038081096699710138823748739863159658964455114354193817463<65>
7514182728709644514900674517010447906242406146274913469130391355000176893<73>
factorization results 素因数分解の結果
235643613474342549813313627299818522805994985525027527017225887062893743785231209186178486684886139787690257753982590297166688771952482459=31359846038081096699710138823748739863159658964455114354193817463*7514182728709644514900674517010447906242406146274913469130391355000176893

cado polynomial
n: 235643613474342549813313627299818522805994985525027527017225887062893743785231209186178486684886139787690257753982590297166688771952482459 
skew: 1.42
type: snfs
c0: -229
c5: 40
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 40*x^5-229
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 6100000
tasks.lim1 = 6100000
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: 7514182728709644514900674517010447906242406146274913469130391355000176893 31359846038081096699710138823748739863159658964455114354193817463
Info:Square Root: Total cpu/real time for sqrt: 220.7/71.4299
Info:Filtering - Singleton removal: Total cpu/real time for purge: 118.63/120.534
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22406946
Info:Lattice Sieving: Average J: 1893.52 for 940720 special-q, max bucket fill -bkmult 1.0,1s:1.167930
Info:Lattice Sieving: Total time: 144132s
Info:Linear Algebra: Total cpu/real time for bwc: 16057.7/4125.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 10176.06, WCT time 2601.48, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (31744 iterations)
Info:Linear Algebra: Lingen CPU time 181.27, WCT time 46.12
Info:Linear Algebra: Mksol: CPU time 5536.07,  WCT time 1416.69, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (15872 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 119.54/32.9043
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 88.84/101.149
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 101.1s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 211.51/179.646
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 162.3s
Info:Filtering - Merging: Merged matrix has 1013319 rows and total weight 172771473 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 238.3/66.4782
Info:Filtering - Merging: Total cpu/real time for replay: 35.56/29.9793
Info:Generate Factor Base: Total cpu/real time for makefb: 2.6/1.43052
Info:Quadratic Characters: Total cpu/real time for characters: 34.05/13.4387
Info:Square Root: Total cpu/real time for sqrt: 220.7/71.4299
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 285102/77087.9
Info:root: Cleaning up computation data in /tmp/cado.ueyms_7x
7514182728709644514900674517010447906242406146274913469130391355000176893 31359846038081096699710138823748739863159658964455114354193817463
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
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
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 3, 2022 10:54:04 UTC 2022 年 1 月 3 日 (月) 19 時 54 分 4 秒 (日本時間)

4×10177-2299

c177

name 名前Bob Backstrom
date 日付January 3, 2022 17:50:52 UTC 2022 年 1 月 4 日 (火) 2 時 50 分 52 秒 (日本時間)
composite number 合成数
444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444419<177>
prime factors 素因数
2542338412093778012048198513014122084169474955185813113379<58>
174817184970436750953694310465926321612095637385170252965863895988022817273194574657086863325730268908274257040160697761<120>
factorization results 素因数分解の結果
Number: n
N=444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444419  ( 177 digits)
SNFS difficulty: 177 digits.
Divisors found:

Tue Jan  4 04:43:24 2022  p58 factor: 2542338412093778012048198513014122084169474955185813113379
Tue Jan  4 04:43:24 2022  p120 factor: 174817184970436750953694310465926321612095637385170252965863895988022817273194574657086863325730268908274257040160697761
Tue Jan  4 04:43:24 2022  elapsed time 00:23:55 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.308).
Factorization parameters were as follows:
#
# N = 4x10^177-229 = 8(175)38
#
n: 444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444419
m: 100000000000000000000000000000000000
deg: 5
c5: 400
c0: -229
skew: 0.89
# Murphy_E = 1.057e-10
type: snfs
lss: 1
rlim: 6400000
alim: 6400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 23200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5075221 hash collisions in 32081179 relations (28501224 unique)
Msieve: matrix is 905636 x 905870 (308.7 MB)

Sieving start time : 2022/01/04 02:17:07
Sieving end time  : 2022/01/04 04:18:59

Total sieving time: 2hrs 1min 52secs.

Total relation processing time: 0hrs 12min 41sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 49sec.

Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,6400000,6400000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116212] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5020K rodata, 2736K init, 4964K bss, 487280K reserved, 0K cma-reserved)
[    0.153541] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798280)
[    0.152035] smpboot: Total of 16 processors activated (102386.24 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 2, 2022 22:56:53 UTC 2022 年 1 月 3 日 (月) 7 時 56 分 53 秒 (日本時間)

4×10178-2299

c153

name 名前Eric Jeancolas
date 日付January 10, 2022 20:47:43 UTC 2022 年 1 月 11 日 (火) 5 時 47 分 43 秒 (日本時間)
composite number 合成数
905631221053635552763710784819707878388408820652207059356918292364101962381262830775574045359873407180776325292780069523532433295942423928086726858753507<153>
prime factors 素因数
622464745267526107235167763903530704725890001<45>
188585011880957096274228919189754308111366892569618171<54>
7714884941717547918224839332360161195275632128853872617<55>
factorization results 素因数分解の結果
905631221053635552763710784819707878388408820652207059356918292364101962381262830775574045359873407180776325292780069523532433295942423928086726858753507=622464745267526107235167763903530704725890001*188585011880957096274228919189754308111366892569618171*7714884941717547918224839332360161195275632128853872617

cado polynomial
n: 905631221053635552763710784819707878388408820652207059356918292364101962381262830775574045359873407180776325292780069523532433295942423928086726858753507 
skew: 1.13
type: snfs
c0: -229
c5: 125
Y0: 200000000000000000000000000000000000
Y1: -1
# f(x) = 125*x^5-229
# g(x) = -x+200000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 6600000
tasks.lim1 = 6600000
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: 7714884941717547918224839332360161195275632128853872617 622464745267526107235167763903530704725890001 188585011880957096274228919189754308111366892569618171
Info:Square Root: Total cpu/real time for sqrt: 451.38/138.967
Info:Filtering - Singleton removal: Total cpu/real time for purge: 118.48/121.066
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22418773
Info:Lattice Sieving: Average J: 1893.8 for 962202 special-q, max bucket fill -bkmult 1.0,1s:1.185090
Info:Lattice Sieving: Total time: 153532s
Info:Linear Algebra: Total cpu/real time for bwc: 16971.4/4365.43
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 10754.63, WCT time 2757.44, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (32512 iterations)
Info:Linear Algebra: Lingen CPU time 190.61, WCT time 48.49
Info:Linear Algebra: Mksol: CPU time 5856.68,  WCT time 1496.96, iteration CPU time 0.09, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (16384 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 121.78/32.9544
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 89.39/102.993
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 102.9s
Info:Filtering - Merging: Merged matrix has 1039626 rows and total weight 176815423 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 245.92/68.3007
Info:Filtering - Merging: Total cpu/real time for replay: 36.24/30.7764
Info:Generate Factor Base: Total cpu/real time for makefb: 2.83/1.52443
Info:Quadratic Characters: Total cpu/real time for characters: 34.85/13.8246
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 212.3/177.673
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 163.3s
Info:Square Root: Total cpu/real time for sqrt: 451.38/138.967
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 303473/82126
Info:root: Cleaning up computation data in /tmp/cado.1np49d1n
7714884941717547918224839332360161195275632128853872617 622464745267526107235167763903530704725890001 188585011880957096274228919189754308111366892569618171
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
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
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 5, 2022 12:58:02 UTC 2022 年 1 月 5 日 (水) 21 時 58 分 2 秒 (日本時間)

4×10180-2299

c161

name 名前Eric Jeancolas
date 日付January 12, 2022 03:56:22 UTC 2022 年 1 月 12 日 (水) 12 時 56 分 22 秒 (日本時間)
composite number 合成数
35880657665201756022387488986952739731497833761687849389521382174117750441525375209771624153378453167041596643409122034723303516390739105923527399019426371838189<161>
prime factors 素因数
252173224471299590214247211822547117653792439555917680447<57>
142285755121021643203979744681561462725692802952335229826837198523287444549750706599905060532467338571987<105>
factorization results 素因数分解の結果
35880657665201756022387488986952739731497833761687849389521382174117750441525375209771624153378453167041596643409122034723303516390739105923527399019426371838189=252173224471299590214247211822547117653792439555917680447*142285755121021643203979744681561462725692802952335229826837198523287444549750706599905060532467338571987

cado polynomial
n: 35880657665201756022387488986952739731497833761687849389521382174117750441525375209771624153378453167041596643409122034723303516390739105923527399019426371838189 
skew: 2.25
type: snfs
c0: -229
c5: 4
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 4*x^5-229
# g(x) = -x+1000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 7200000
tasks.lim1 = 7200000
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: 142285755121021643203979744681561462725692802952335229826837198523287444549750706599905060532467338571987 252173224471299590214247211822547117653792439555917680447
Info:Square Root: Total cpu/real time for sqrt: 424.81/132.923
Info:Filtering - Singleton removal: Total cpu/real time for purge: 115.51/120.596
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22411083
Info:Lattice Sieving: Average J: 1894.07 for 1017471 special-q, max bucket fill -bkmult 1.0,1s:1.175310
Info:Lattice Sieving: Total time: 168261s
Info:Linear Algebra: Total cpu/real time for bwc: 19793.7/5078.59
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 12589.59, WCT time 3218.21, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (35072 iterations)
Info:Linear Algebra: Lingen CPU time 220.7, WCT time 55.91
Info:Linear Algebra: Mksol: CPU time 6797.78,  WCT time 1735.98, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (17408 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 116.39/31.5549
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 89.4/103.06
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 103.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 214.93/182.545
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 164.7s
Info:Filtering - Merging: Merged matrix has 1113731 rows and total weight 189400441 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 267.46/74.5629
Info:Filtering - Merging: Total cpu/real time for replay: 39.42/33.4393
Info:Generate Factor Base: Total cpu/real time for makefb: 3.04/1.8488
Info:Quadratic Characters: Total cpu/real time for characters: 37.24/14.7423
Info:Square Root: Total cpu/real time for sqrt: 424.81/132.923
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 334626/90293.2
Info:root: Cleaning up computation data in /tmp/cado.4yn7lm1l
142285755121021643203979744681561462725692802952335229826837198523287444549750706599905060532467338571987 252173224471299590214247211822547117653792439555917680447
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
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
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 5, 2022 14:44:20 UTC 2022 年 1 月 5 日 (水) 23 時 44 分 20 秒 (日本時間)

4×10183-2299

c164

name 名前Ignacio Santos
date 日付January 5, 2022 21:37:41 UTC 2022 年 1 月 6 日 (木) 6 時 37 分 41 秒 (日本時間)
composite number 合成数
34140593765727028980047072110244304870357048884865431925363645845608068311700162812414345053199608048313623102957570219204004442711612744397732974529196143255951163<164>
prime factors 素因数
595889674436570291356935713553128095609<39>
composite cofactor 合成数の残り
57293481042456186727761457698834753030866856328621392094947700496346219864651938749860879735963801348725920038302847030369107<125>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1154092951
Step 1 took 4000ms
********** Factor found in step 2: 595889674436570291356935713553128095609
Found prime factor of 39 digits: 595889674436570291356935713553128095609
Composite cofactor 57293481042456186727761457698834753030866856328621392094947700496346219864651938749860879735963801348725920038302847030369107 has 125 digits
software ソフトウェア
GMP-ECM

c125

name 名前Eric Jeancolas
date 日付January 7, 2022 05:41:03 UTC 2022 年 1 月 7 日 (金) 14 時 41 分 3 秒 (日本時間)
composite number 合成数
57293481042456186727761457698834753030866856328621392094947700496346219864651938749860879735963801348725920038302847030369107<125>
prime factors 素因数
21590487067538912601607807719692813300934279421<47>
2653644675232750003809308244864845916157614627947529039439242358992105739789967<79>
factorization results 素因数分解の結果
57293481042456186727761457698834753030866856328621392094947700496346219864651938749860879735963801348725920038302847030369107=21590487067538912601607807719692813300934279421*2653644675232750003809308244864845916157614627947529039439242358992105739789967

cado polynomial
n: 57293481042456186727761457698834753030866856328621392094947700496346219864651938749860879735963801348725920038302847030369107
skew: 77582.053
c0: 8458464137771640644053461444
c1: -2994129180517852978887464
c2: 25535295091240041807
c3: -884531881324675
c4: -8290225107
c5: 37620
Y0: -1419104028772786314039281
Y1: 1218439385219474153
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.504e-07
# f(x) = 37620*x^5-8290225107*x^4-884531881324675*x^3+25535295091240041807*x^2-2994129180517852978887464*x+8458464137771640644053461444
# g(x) = 1218439385219474153*x-1419104028772786314039281

cado parameters (extracts)
tasks.lim0 = 2377918
tasks.lim1 = 9209388
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 57
tasks.sieve.mfb1 = 53
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 21590487067538912601607807719692813300934279421 2653644675232750003809308244864845916157614627947529039439242358992105739789967
Info:Square Root: Total cpu/real time for sqrt: 278.47/83.8469
Info:Filtering - Singleton removal: Total cpu/real time for purge: 73.05/83.7992
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11753215
Info:Lattice Sieving: Average J: 3784.14 for 198018 special-q, max bucket fill -bkmult 1.0,1s:1.203800
Info:Lattice Sieving: Total time: 59112.1s
Info:Generate Factor Base: Total cpu/real time for makefb: 8.53/2.29188
Info:Linear Algebra: Total cpu/real time for bwc: 9136.91/2354.38
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 5755.42, WCT time 1477.87, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (24320 iterations)
Info:Linear Algebra: Lingen CPU time 132.41, WCT time 33.69
Info:Linear Algebra: Mksol: CPU time 3127.12,  WCT time 798.68, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12288 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 126.39/32.9626
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 49.53/56.438
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 56.2s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2442.11
Info:Polynomial Selection (root optimized): Rootsieve time: 2439.65
Info:Filtering - Merging: Merged matrix has 774101 rows and total weight 132300687 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 161.11/46.3706
Info:Filtering - Merging: Total cpu/real time for replay: 28.55/23.611
Info:Quadratic Characters: Total cpu/real time for characters: 28.89/11.4439
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19925.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20085/37.570/44.449/49.490/0.877
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15818/36.420/39.818/45.230/0.950
Info:Polynomial Selection (size optimized): Total time: 1958.44
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 141.26/127.812
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 111.1s
Info:Square Root: Total cpu/real time for sqrt: 278.47/83.8469
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 124324/33691.5
Info:root: Cleaning up computation data in /tmp/cado.ppuilghz
21590487067538912601607807719692813300934279421 2653644675232750003809308244864845916157614627947529039439242358992105739789967
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
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
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 6, 2022 15:30:14 UTC 2022 年 1 月 7 日 (金) 0 時 30 分 14 秒 (日本時間)

4×10184-2299

c181

name 名前Ignacio Santos
date 日付January 6, 2022 10:51:17 UTC 2022 年 1 月 6 日 (木) 19 時 51 分 17 秒 (日本時間)
composite number 合成数
5949724825226833258961773017997917596311170608359363379443700728841291090287074222817194704744905548118399524022013981853339283058158560166592295106351331250929644503941692696712777<181>
prime factors 素因数
29284463978150190127504397404701041783<38>
composite cofactor 合成数の残り
203170009519930408791684697687226136492010951108784052231809393294390682260117135298923333117886589106659186660902909326317389243221950083648319<144>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2155178539
Step 1 took 5797ms
Step 2 took 3406ms
********** Factor found in step 1: 29284463978150190127504397404701041783
Found prime factor of 38 digits: 29284463978150190127504397404701041783
Composite cofactor 203170009519930408791684697687226136492010951108784052231809393294390682260117135298923333117886589106659186660902909326317389243221950083648319 has 144 digits
 
software ソフトウェア
GMP-ECM

c144

name 名前Eric Jeancolas
date 日付January 12, 2022 07:08:59 UTC 2022 年 1 月 12 日 (水) 16 時 8 分 59 秒 (日本時間)
composite number 合成数
203170009519930408791684697687226136492010951108784052231809393294390682260117135298923333117886589106659186660902909326317389243221950083648319<144>
prime factors 素因数
26204437408514427788362819677931986730531442321020081<53>
7753267370430771913549351981353788803286456279334155774789506479790382748020474117344156399<91>
factorization results 素因数分解の結果
203170009519930408791684697687226136492010951108784052231809393294390682260117135298923333117886589106659186660902909326317389243221950083648319=26204437408514427788362819677931986730531442321020081*7753267370430771913549351981353788803286456279334155774789506479790382748020474117344156399

cado polynomial
n: 203170009519930408791684697687226136492010951108784052231809393294390682260117135298923333117886589106659186660902909326317389243221950083648319 
skew: 3.56
type: snfs
c0: -1145
c5: 2
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 2*x^5-1145
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 8600000
tasks.lim1 = 8600000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
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: 26204437408514427788362819677931986730531442321020081 7753267370430771913549351981353788803286456279334155774789506479790382748020474117344156399
Info:Square Root: Total cpu/real time for sqrt: 682.89/211.922
Info:Filtering - Singleton removal: Total cpu/real time for purge: 164.93/194.841
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22902498
Info:Lattice Sieving: Average J: 1893.88 for 1188994 special-q, max bucket fill -bkmult 1.0,1s:1.157040
Info:Lattice Sieving: Total time: 213090s
Info:Linear Algebra: Total cpu/real time for bwc: 40557.8/10452.3
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 25907.94, WCT time 6653.07, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (49664 iterations)
Info:Linear Algebra: Lingen CPU time 322.63, WCT time 81.9
Info:Linear Algebra: Mksol: CPU time 14044.11,  WCT time 3611.35, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (24832 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 118.08/31.7777
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 92.36/105.151
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 104.9s
Info:Filtering - Merging: Merged matrix has 1580745 rows and total weight 269885468 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 408.34/113.711
Info:Filtering - Merging: Total cpu/real time for replay: 61.19/52.1404
Info:Generate Factor Base: Total cpu/real time for makefb: 3.58/1.95681
Info:Quadratic Characters: Total cpu/real time for characters: 57.74/23.1591
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 286.87/262.239
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 223.89999999999998s
Info:Square Root: Total cpu/real time for sqrt: 682.89/211.922
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 440564/118042
Info:root: Cleaning up computation data in /tmp/cado.xwdxrkts
26204437408514427788362819677931986730531442321020081 7753267370430771913549351981353788803286456279334155774789506479790382748020474117344156399
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
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
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 6, 2022 15:30:48 UTC 2022 年 1 月 7 日 (金) 0 時 30 分 48 秒 (日本時間)

4×10185-2299

c113

name 名前Bob Backstrom
date 日付December 30, 2021 14:41:50 UTC 2021 年 12 月 30 日 (木) 23 時 41 分 50 秒 (日本時間)
composite number 合成数
78223592729804080909128321021525165827921751092543735018878571064557372033959677110241021326736259293558366094057<113>
prime factors 素因数
28946361430932168238197972829789077743283687425156143249<56>
2702363573965953323530172651343241220907570850858674303193<58>
factorization results 素因数分解の結果
CADO

STA:Fri 31 Dec 2021 00:00:12 AEDT (78,223,592,729,804,080,909,128,321,021,525,165,827,921,751,092,543,735,018,878,571,064,557,372,033,959,677,110,241,021,326,736,259,293,558,366,094,057 - C113)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 78223592729804080909128321021525165827921751092543735018878571064557372033959677110241021326736259293558366094057 2>&1 | tee -a log132

Debug:root: Looking for parameter file for c113 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c115
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c115
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.70s41sco
Info:Database: Opened connection to database /tmp/cado.70s41sco/c115.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 7822359272980408090912832102152516582792175109254373501887857106455737203395967711024
1021326736259293558366094057
Debug:root: Root parameter dictionary:
N = 78223592729804080909128321021525165827921751092543735018878571064557372033959677110241021326736259293558366094057
lim0 = 5484593
lim1 = 2800829
lpb0 = 26
lpb1 = 26
name = c115
...
n: 78223592729804080909128321021525165827921751092543735018878571064557372033959677110241021326736259293558366094057
skew: 5975340.058
c0: 279281009252580892267686395406
c1: 2457944433665150646013071
c2: 2438595831049059131
c3: -138586438334
c4: -14520
Y0: -1811232342095528740629910400
Y1: 221037360093126229
# MurphyE (Bf=2.80e+06,Bg=5.48e+06,area=9.40e+13) = 3.15e-09
# f(x) = -14520*x^4-138586438334*x^3+2438595831049059131*x^2+2457944433665150646013071*x+279281009252580892267686395406
# g(x) = 221037360093126229*x-1811232342095528740629910400
...
Info:Square Root: finished
Info:Square Root: Factors: 2702363573965953323530172651343241220907570850858674303193 28946361430932168238197972829789077743283687425156143249
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 252.65/36.9828
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 55681.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 56111/37.620/43.116/47.910/0.652
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 56111/37.160/42.276/44.900/1.022
Info:Polynomial Selection (size optimized): Total time: 1113.54
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 145.59
Info:Polynomial Selection (root optimized): Rootsieve time: 144.94
Info:Generate Factor Base: Total cpu/real time for makefb: 2.67/0.273473
Info:Generate Free Relations: Total cpu/real time for freerel: 53.48/3.53633
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6789386
Info:Lattice Sieving: Average J: 4096 for 59578 special-q, max bucket fill: 0.648232
Info:Lattice Sieving: Total CPU time: 53672.5s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 16.61/19.0938
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 19.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 90.17/28.0251
Info:Filtering - Singleton removal: Total cpu/real time for purge: 79.37/30.5884
Info:Filtering - Merging: Total cpu/real time for merge: 114.63/90.3721
Info:Filtering - Merging: Total cpu/real time for replay: 12.67/9.37636
Info:Linear Algebra: Total cpu/real time for bwc: 3359.18/0.000321627
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 139.13
Info:Linear Algebra: Lingen CPU time 77.3, WCT time 7.89
Info:Linear Algebra: Mksol: WCT time 76.76
Info:Quadratic Characters: Total cpu/real time for characters: 13.66/3.11927
Info:Square Root: Total cpu/real time for sqrt: 252.65/36.9828
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 58926.7/4099.82
Info:root: Cleaning up computation data in /tmp/cado.70s41sco
2702363573965953323530172651343241220907570850858674303193 28946361430932168238197972829789077743283687425156143249

END:Fri 31 Dec 2021 01:08:32 AEDT (78,223,592,729,804,080,909,128,321,021,525,165,827,921,751,092,543,735,018,878,571,064,557,372,033,959,677,110,241,021,326,736,259,293,558,366,094,057 - C113)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosDecember 29, 2021 21:19:43 UTC 2021 年 12 月 30 日 (木) 6 時 19 分 43 秒 (日本時間)

4×10186-2299

c114

name 名前Ignacio Santos
date 日付December 29, 2021 21:19:27 UTC 2021 年 12 月 30 日 (木) 6 時 19 分 27 秒 (日本時間)
composite number 合成数
914240589859610393614941383875648244651906158868917001865785331943696763902805319041141745988267644463946232664393<114>
prime factors 素因数
6041415998300430653715885957682241557<37>
151328859015304406054061357654900778925241409212658081955910196987440313173349<78>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3526039656
Step 1 took 3515ms
Step 2 took 2703ms
********** Factor found in step 2: 6041415998300430653715885957682241557
Found prime factor of 37 digits: 6041415998300430653715885957682241557
Prime cofactor 151328859015304406054061357654900778925241409212658081955910196987440313173349 has 78 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
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

4×10187-2299

c142

name 名前Eric Jeancolas
date 日付January 13, 2022 07:11:30 UTC 2022 年 1 月 13 日 (木) 16 時 11 分 30 秒 (日本時間)
composite number 合成数
4982036009143939603161922046892093230566131100606768164836864360459867852593528407544201597122570384610555322439737026403951299729036409621233<142>
prime factors 素因数
25256219350025330156514981011102711779205250166302187<53>
197259769567963582891698968442524622893083569734053675138297499499674957324050818667040659<90>
factorization results 素因数分解の結果
4982036009143939603161922046892093230566131100606768164836864360459867852593528407544201597122570384610555322439737026403951299729036409621233=25256219350025330156514981011102711779205250166302187*197259769567963582891698968442524622893083569734053675138297499499674957324050818667040659

cado polynomial
n: 4982036009143939603161922046892093230566131100606768164836864360459867852593528407544201597122570384610555322439737026403951299729036409621233 
skew: 0.89
type: snfs
c0: -229
c5: 400
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 400*x^5-229
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 9400000
tasks.lim1 = 9400000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
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: 197259769567963582891698968442524622893083569734053675138297499499674957324050818667040659 25256219350025330156514981011102711779205250166302187
Info:Square Root: Total cpu/real time for sqrt: 962.96/297.794
Info:Filtering - Singleton removal: Total cpu/real time for purge: 282.87/330.458
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24445950
Info:Lattice Sieving: Average J: 1895 for 1753548 special-q, max bucket fill -bkmult 1.0,1s:1.163790
Info:Lattice Sieving: Total time: 322885s
Info:Linear Algebra: Total cpu/real time for bwc: 56197.2/14440.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 35952.14, WCT time 9191.57, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (57856 iterations)
Info:Linear Algebra: Lingen CPU time 370.63, WCT time 94.2
Info:Linear Algebra: Mksol: CPU time 19530.49,  WCT time 5016.16, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (28928 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 117.07/31.6291
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 101.34/117.145
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 116.6s
Info:Filtering - Merging: Merged matrix has 1847626 rows and total weight 314301086 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 485.55/134.664
Info:Filtering - Merging: Total cpu/real time for replay: 70.77/60.5365
Info:Generate Factor Base: Total cpu/real time for makefb: 4.01/2.13342
Info:Quadratic Characters: Total cpu/real time for characters: 65.61/27.7272
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 399/394.525
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 322.0s
Info:Square Root: Total cpu/real time for sqrt: 962.96/297.794
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 660612/177161
Info:root: Cleaning up computation data in /tmp/cado.zog6ryw9
197259769567963582891698968442524622893083569734053675138297499499674957324050818667040659 25256219350025330156514981011102711779205250166302187
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
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
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 6, 2022 14:33:06 UTC 2022 年 1 月 6 日 (木) 23 時 33 分 6 秒 (日本時間)

4×10189-2299

c142

name 名前Eric Jeancolas
date 日付January 13, 2022 17:59:56 UTC 2022 年 1 月 14 日 (金) 2 時 59 分 56 秒 (日本時間)
composite number 合成数
5309901933892082914933199823841238553174587117862109670412892701317405618470866242594468607534585320804813822284940719179369674412344219606063<142>
prime factors 素因数
10733222532063041461061298390348608154957719<44>
494716467307928100080784198205075086728659017856749145841793404909421558240553179501411421789934377<99>
factorization results 素因数分解の結果
5309901933892082914933199823841238553174587117862109670412892701317405618470866242594468607534585320804813822284940719179369674412344219606063=10733222532063041461061298390348608154957719*494716467307928100080784198205075086728659017856749145841793404909421558240553179501411421789934377

cado polynomial
n: 5309901933892082914933199823841238553174587117862109670412892701317405618470866242594468607534585320804813822284940719179369674412344219606063 
skew: 3.56
type: snfs
c0: -1145
c5: 2
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 2*x^5-1145
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 10400000
tasks.lim1 = 10400000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
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: 10733222532063041461061298390348608154957719 494716467307928100080784198205075086728659017856749145841793404909421558240553179501411421789934377
Info:Square Root: Total cpu/real time for sqrt: 488.3/156.385
Info:Filtering - Singleton removal: Total cpu/real time for purge: 285.26/341.637
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24819483
Info:Lattice Sieving: Average J: 1894.06 for 1911782 special-q, max bucket fill -bkmult 1.0,1s:1.128770
Info:Lattice Sieving: Total time: 373103s
Info:Linear Algebra: Total cpu/real time for bwc: 65720.9/16906.3
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 42148.06, WCT time 10787.07, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (62208 iterations)
Info:Linear Algebra: Lingen CPU time 396.07, WCT time 100.77
Info:Linear Algebra: Mksol: CPU time 22798.59,  WCT time 5860.53, iteration CPU time 0.18, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (31232 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 102.27/120.94
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 120.5s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 404.21/400.567
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 325.30000000000007s
Info:Filtering - Merging: Merged matrix has 1984365 rows and total weight 337457806 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 533.59/147.91
Info:Filtering - Merging: Total cpu/real time for replay: 81.65/71.4059
Info:Generate Factor Base: Total cpu/real time for makefb: 4.34/2.31439
Info:Quadratic Characters: Total cpu/real time for characters: 70.66/30.526
Info:Square Root: Total cpu/real time for sqrt: 488.3/156.385
Info:Generate Free Relations: Total cpu/real time for freerel: 117.67/31.9604
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 765547/204752
Info:root: Cleaning up computation data in /tmp/cado.rhxiq0ag
10733222532063041461061298390348608154957719 494716467307928100080784198205075086728659017856749145841793404909421558240553179501411421789934377
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
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
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 6, 2022 17:45:29 UTC 2022 年 1 月 7 日 (金) 2 時 45 分 29 秒 (日本時間)

4×10193-2299

c155

name 名前Eric Jeancolas
date 日付January 15, 2022 17:59:36 UTC 2022 年 1 月 16 日 (日) 2 時 59 分 36 秒 (日本時間)
composite number 合成数
14814045766613000409418920084193476705016334094255543153664591675601495714425002272949976362830454792265713011519548746361782101998697913996329119635813917<155>
prime factors 素因数
74419063877183998663749941913909141147295681219<47>
199062511604030146100423665652547416823282937009436383230513800650010965169383353853451874482761712729648543<108>
factorization results 素因数分解の結果
14814045766613000409418920084193476705016334094255543153664591675601495714425002272949976362830454792265713011519548746361782101998697913996329119635813917=74419063877183998663749941913909141147295681219*199062511604030146100423665652547416823282937009436383230513800650010965169383353853451874482761712729648543

cado polynomial
n: 14814045766613000409418920084193476705016334094255543153664591675601495714425002272949976362830454792265713011519548746361782101998697913996329119635813917 
skew: 1.13
type: snfs
c0: -229
c5: 125
Y0: 200000000000000000000000000000000000000
Y1: -1
# f(x) = 125*x^5-229
# g(x) = -x+200000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 11800000
tasks.lim1 = 11800000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
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: 74419063877183998663749941913909141147295681219 199062511604030146100423665652547416823282937009436383230513800650010965169383353853451874482761712729648543
Info:Square Root: Total cpu/real time for sqrt: 2222.76/669.788
Info:Filtering - Singleton removal: Total cpu/real time for purge: 407.61/474.686
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 28034444
Info:Lattice Sieving: Average J: 1893.7 for 2766991 special-q, max bucket fill -bkmult 1.0,1s:1.143670
Info:Lattice Sieving: Total time: 578386s
Info:Generate Free Relations: Total cpu/real time for freerel: 118.26/31.9637
Info:Linear Algebra: Total cpu/real time for bwc: 93966.3/24035.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 60215.55, WCT time 15366.57, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (73216 iterations)
Info:Linear Algebra: Lingen CPU time 510.61, WCT time 129.34
Info:Linear Algebra: Mksol: CPU time 32425.78,  WCT time 8265.99, iteration CPU time 0.21, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (36864 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 118.42/135.809
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 135.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 513.88/522.38
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 420.90000000000003s
Info:Filtering - Merging: Merged matrix has 2332789 rows and total weight 397085418 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 635.4/175.644
Info:Filtering - Merging: Total cpu/real time for replay: 90.11/78.4373
Info:Generate Factor Base: Total cpu/real time for makefb: 5/2.52996
Info:Quadratic Characters: Total cpu/real time for characters: 81.11/35.4942
Info:Square Root: Total cpu/real time for sqrt: 2222.76/669.788
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.17799e+06/315308
Info:root: Cleaning up computation data in /tmp/cado.ez024ohu
74419063877183998663749941913909141147295681219 199062511604030146100423665652547416823282937009436383230513800650010965169383353853451874482761712729648543
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
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
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 10, 2022 19:21:02 UTC 2022 年 1 月 11 日 (火) 4 時 21 分 2 秒 (日本時間)

4×10194-2299

c134

name 名前Eric Jeancolas
date 日付January 7, 2022 09:40:37 UTC 2022 年 1 月 7 日 (金) 18 時 40 分 37 秒 (日本時間)
composite number 合成数
28898158004435199539011490369888370516627096476634528003807232188983422228381916893392145095127705841459756324932911165407433399447959<134>
prime factors 素因数
64481123036977643347680819586491209854419092535323<50>
448164620021632192398427683762308377986276237751027989638711783112725909236200750133<84>
factorization results 素因数分解の結果
28898158004435199539011490369888370516627096476634528003807232188983422228381916893392145095127705841459756324932911165407433399447959=64481123036977643347680819586491209854419092535323*448164620021632192398427683762308377986276237751027989638711783112725909236200750133

cado polynomial
n: 28898158004435199539011490369888370516627096476634528003807232188983422228381916893392145095127705841459756324932911165407433399447959
skew: 27359.8
c0: -9532852425711825390261003897
c1: -1148054435715102611786008
c2: 200274743218662320078
c3: 3106234866903812
c4: -101346515445
c5: 753300
Y0: -57701495634482445795794832
Y1: 44138552960958729631
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.436e-07
# f(x) = 753300*x^5-101346515445*x^4+3106234866903812*x^3+200274743218662320078*x^2-1148054435715102611786008*x-9532852425711825390261003897
# g(x) = 44138552960958729631*x-57701495634482445795794832

cado parameters (extracts)
tasks.lim0 = 3341873
tasks.lim1 = 16407032
tasks.lpb0 = 27
tasks.lpb1 = 28
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 62
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 448164620021632192398427683762308377986276237751027989638711783112725909236200750133 64481123036977643347680819586491209854419092535323
Info:Square Root: Total cpu/real time for sqrt: 433.06/130.272
Info:Filtering - Singleton removal: Total cpu/real time for purge: 92.23/99.986
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17023416
Info:Lattice Sieving: Average J: 3786.24 for 565065 special-q, max bucket fill -bkmult 1.0,1s:1.180140
Info:Lattice Sieving: Total time: 187750s
Info:Generate Factor Base: Total cpu/real time for makefb: 14.62/3.8862
Info:Linear Algebra: Total cpu/real time for bwc: 24363.2/6250.12
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 15491.36, WCT time 3961.68, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (38912 iterations)
Info:Linear Algebra: Lingen CPU time 238.94, WCT time 60.59
Info:Linear Algebra: Mksol: CPU time 8423.96,  WCT time 2151.02, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (19456 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 249.48/63.2711
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 74.61/87.3768
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 87.3s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6252.83
Info:Polynomial Selection (root optimized): Rootsieve time: 6250.29
Info:Filtering - Merging: Merged matrix has 1242116 rows and total weight 212388232 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 323.79/89.9289
Info:Filtering - Merging: Total cpu/real time for replay: 45.26/38.9613
Info:Quadratic Characters: Total cpu/real time for characters: 42.03/17.4205
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 53395.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 54299/39.410/47.965/52.200/0.971
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 44351/38.660/42.766/48.560/1.019
Info:Polynomial Selection (size optimized): Total time: 11440.3
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 191.7/162.062
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 149.60000000000002s
Info:Square Root: Total cpu/real time for sqrt: 433.06/130.272
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 395127/106135
Info:root: Cleaning up computation data in /tmp/cado.b_06gztt
448164620021632192398427683762308377986276237751027989638711783112725909236200750133 64481123036977643347680819586491209854419092535323
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
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
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosDecember 30, 2021 13:28:12 UTC 2021 年 12 月 30 日 (木) 22 時 28 分 12 秒 (日本時間)

4×10195-2299

c167

name 名前Eric Jeancolas
date 日付January 23, 2022 22:06:55 UTC 2022 年 1 月 24 日 (月) 7 時 6 分 55 秒 (日本時間)
composite number 合成数
49385896207015848443106698466364192943927219252921707056529342429055274144105182245615365265812585441989575973396474368868637317862228407265434350501241987965423719443<167>
prime factors 素因数
62563486815989942920799549574494082253486818103<47>
789372503362357789353485120794192699565840174992193451076087899605722185331530621144341542305361524282405692165710027781<120>
factorization results 素因数分解の結果
49385896207015848443106698466364192943927219252921707056529342429055274144105182245615365265812585441989575973396474368868637317862228407265434350501241987965423719443=62563486815989942920799549574494082253486818103*789372503362357789353485120794192699565840174992193451076087899605722185331530621144341542305361524282405692165710027781

cado polynomial
n: 49385896207015848443106698466364192943927219252921707056529342429055274144105182245615365265812585441989575973396474368868637317862228407265434350501241987965423719443 
skew: 2.25
type: snfs
c0: -229
c5: 4
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 4*x^5-229
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 12700000
tasks.lim1 = 12700000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
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: 789372503362357789353485120794192699565840174992193451076087899605722185331530621144341542305361524282405692165710027781 62563486815989942920799549574494082253486818103
Info:Square Root: Total cpu/real time for sqrt: 640.68/205.047
Info:Filtering - Singleton removal: Total cpu/real time for purge: 422.59/490.04
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 29178185
Info:Lattice Sieving: Average J: 1893.3 for 3329699 special-q, max bucket fill -bkmult 1.0,1s:1.160080
Info:Lattice Sieving: Total time: 873191s
Info:Linear Algebra: Total cpu/real time for bwc: 114746/29354.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 73567.24, WCT time 18760.25, iteration CPU time 0.22, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (79872 iterations)
Info:Linear Algebra: Lingen CPU time 539.39, WCT time 136.88
Info:Linear Algebra: Mksol: CPU time 39723.91,  WCT time 10147.22, iteration CPU time 0.24, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (39936 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 118.13/32.0181
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 123.03/148.777
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 147.89999999999998s
Info:Filtering - Merging: Merged matrix has 2551161 rows and total weight 436799015 (171.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 712.56/196.671
Info:Filtering - Merging: Total cpu/real time for replay: 106.88/95.0337
Info:Generate Factor Base: Total cpu/real time for makefb: 5.32/2.53451
Info:Quadratic Characters: Total cpu/real time for characters: 88.64/38.424
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 529.92/541.865
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 438.1000000000001s
Info:Square Root: Total cpu/real time for sqrt: 640.68/205.047
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.7895e+06/250570
Info:root: Cleaning up computation data in /tmp/cado.svm_dc0n
789372503362357789353485120794192699565840174992193451076087899605722185331530621144341542305361524282405692165710027781 62563486815989942920799549574494082253486818103
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
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
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 10, 2022 21:45:28 UTC 2022 年 1 月 11 日 (火) 6 時 45 分 28 秒 (日本時間)

4×10198-2299

c135

name 名前Eric Jeancolas
date 日付January 7, 2022 10:31:47 UTC 2022 年 1 月 7 日 (金) 19 時 31 分 47 秒 (日本時間)
composite number 合成数
114628768898289255680657683813678406674997175184747350326824567106997920307976882633233160823085670673485945023221845976883333630792433<135>
prime factors 素因数
23085448963624244009239223091406443195129704101375555579<56>
4965412155462511326564170890976109276999721537024173329566979989781052949844227<79>
factorization results 素因数分解の結果
114628768898289255680657683813678406674997175184747350326824567106997920307976882633233160823085670673485945023221845976883333630792433=23085448963624244009239223091406443195129704101375555579*4965412155462511326564170890976109276999721537024173329566979989781052949844227

cado polynomial
n: 114628768898289255680657683813678406674997175184747350326824567106997920307976882633233160823085670673485945023221845976883333630792433
skew: 332547.895
c0: 135978860224763052744148580333858
c1: 1590501268550145226316942953
c2: 6162076923023291831328
c3: -41402623995288967
c4: -29864380790
c5: 75600
Y0: -108807559440662075555324871
Y1: 1564705429000863083
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.298e-07
# f(x) = 75600*x^5-29864380790*x^4-41402623995288967*x^3+6162076923023291831328*x^2+1590501268550145226316942953*x+135978860224763052744148580333858
# g(x) = 1564705429000863083*x-108807559440662075555324871

cado parameters (extracts)
tasks.lim0 = 3341873
tasks.lim1 = 16407032
tasks.lpb0 = 27
tasks.lpb1 = 28
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 62
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 4965412155462511326564170890976109276999721537024173329566979989781052949844227 23085448963624244009239223091406443195129704101375555579
Info:Square Root: Total cpu/real time for sqrt: 421.23/126.853
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 195.42/166.257
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 153.9s
Info:Square Root: Total cpu/real time for sqrt: 421.23/126.853
Info:Filtering - Singleton removal: Total cpu/real time for purge: 93.99/101.153
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17013020
Info:Lattice Sieving: Average J: 3814.63 for 576933 special-q, max bucket fill -bkmult 1.0,1s:1.177280
Info:Lattice Sieving: Total time: 194848s
Info:Generate Factor Base: Total cpu/real time for makefb: 15.18/4.02785
Info:Linear Algebra: Total cpu/real time for bwc: 24421.1/6274.16
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 15516.98, WCT time 3974.92, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (39424 iterations)
Info:Linear Algebra: Lingen CPU time 239.61, WCT time 60.84
Info:Linear Algebra: Mksol: CPU time 8452.69,  WCT time 2161.49, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (19712 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 247.96/63.1842
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 75.92/86.9159
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 86.8s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6366.07
Info:Polynomial Selection (root optimized): Rootsieve time: 6363.6
Info:Filtering - Merging: Merged matrix has 1258813 rows and total weight 215069498 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 325.39/90.462
Info:Filtering - Merging: Total cpu/real time for replay: 46.06/39.1583
Info:Quadratic Characters: Total cpu/real time for characters: 41.86/16.8656
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 53395.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 53894/40.480/48.173/52.150/0.960
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 44040/38.920/43.004/48.800/1.051
Info:Polynomial Selection (size optimized): Total time: 11087.1
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 408108/109620
Info:root: Cleaning up computation data in /tmp/cado.64umhc2x
4965412155462511326564170890976109276999721537024173329566979989781052949844227 23085448963624244009239223091406443195129704101375555579
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
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
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosDecember 30, 2021 13:28:27 UTC 2021 年 12 月 30 日 (木) 22 時 28 分 27 秒 (日本時間)

4×10200-2299

c188

name 名前Dmitry Domanov
date 日付January 14, 2022 20:42:30 UTC 2022 年 1 月 15 日 (土) 5 時 42 分 30 秒 (日本時間)
composite number 合成数
98970170440913130703746727335860330820639557168338854078791494682449501402326163195646191788015042043544348182126592886667471788414330980861508518606250862809523601081425738092981453707099<188>
prime factors 素因数
675179174999484935195739206905808651<36>
composite cofactor 合成数の残り
146583564934431857645679800084069251392670457398446443018944209519228171111631308648212111033945404875895571338850961426413199115323117692429186871403249<153>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2226490056
Step 1 took 8641ms
Step 2 took 4038ms
********** Factor found in step 2: 675179174999484935195739206905808651
Found probable prime factor of 36 digits: 675179174999484935195739206905808651
Composite cofactor 146583564934431857645679800084069251392670457398446443018944209519228171111631308648212111033945404875895571338850961426413199115323117692429186871403249 has 153 digits

c153

name 名前Ignacio Santos
date 日付January 15, 2022 15:34:08 UTC 2022 年 1 月 16 日 (日) 0 時 34 分 8 秒 (日本時間)
composite number 合成数
146583564934431857645679800084069251392670457398446443018944209519228171111631308648212111033945404875895571338850961426413199115323117692429186871403249<153>
prime factors 素因数
13620029002734308975565302820468378857<38>
10762353362463784640142077298028036929293083779055961733913711576182302634515804601579090533099176914489735645741257<116>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3068952260
Step 1 took 5860ms
Step 2 took 3437ms
********** Factor found in step 2: 13620029002734308975565302820468378857
Found prime factor of 38 digits: 13620029002734308975565302820468378857
Prime cofactor 10762353362463784640142077298028036929293083779055961733913711576182302634515804601579090533099176914489735645741257 has 116 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
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 14, 2022 12:00:08 UTC 2022 年 1 月 14 日 (金) 21 時 0 分 8 秒 (日本時間)

4×10201-2299

c157

name 名前Ray Chandler
date 日付February 11, 2022 18:46:23 UTC 2022 年 2 月 12 日 (土) 3 時 46 分 23 秒 (日本時間)
composite number 合成数
2347218115350957649511885281440960129451970947345741152922787371828730364822997807884338925920273837197652379268229382388797086835518859621498074285959375633<157>
prime factors 素因数
36079547132036197177778278766162546680372161931<47>
65056751038506986843430849033686219069093808351853855142876728476695169925039512227642348372196874096145634643<110>
factorization results 素因数分解の結果
02/10/22 21:59:26, nfs: commencing nfs on c201: 888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888838
02/10/22 21:59:26, nfs: input divides 10^204 - 57250
02/10/22 21:59:26, nfs: using supplied cofactor: 2347218115350957649511885281440960129451970947345741152922787371828730364822997807884338925920273837197652379268229382388797086835518859621498074285959375633
02/10/22 21:59:26, nfs: commencing snfs on c157: 2347218115350957649511885281440960129451970947345741152922787371828730364822997807884338925920273837197652379268229382388797086835518859621498074285959375633
02/10/22 21:59:29, test: fb generation took 2.3338 seconds
02/10/22 21:59:29, test: commencing test sieving of polynomial 0 on the rational side over range 20200000-20201000
skew: 1.8145
c5: 40
c0: -229
Y1: -1
Y0: 10000000000000000000000000000000000000000
rlim: 20200000
alim: 20200000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
02/10/22 22:00:55, nfs: parsing special-q from .dat file
02/10/22 22:00:55, test: new best estimated total sieving time = 7h 46m 12s (with 40 threads)
02/10/22 22:00:57, test: fb generation took 2.3054 seconds
02/10/22 22:00:57, test: commencing test sieving of polynomial 1 on the rational side over range 20200000-20201000
skew: 3.9126
c5: 5
c0: -916
Y1: -1
Y0: 20000000000000000000000000000000000000000
rlim: 20200000
alim: 20200000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
02/10/22 22:02:23, nfs: parsing special-q from .dat file
02/10/22 22:02:23, test: estimated total sieving time = 8h 3m 49s (with 40 threads)
02/10/22 22:02:26, test: fb generation took 3.1855 seconds
02/10/22 22:02:26, test: commencing test sieving of polynomial 2 on the algebraic side over range 18000000-18001000
skew: 2.0000
c6: 1
c0: -57250
Y1: -1
Y0: 10000000000000000000000000000000000
rlim: 18000000
alim: 18000000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
02/10/22 22:03:28, nfs: parsing special-q from .dat file
02/10/22 22:03:28, test: estimated total sieving time = 9h 47m 0s (with 40 threads)
02/10/22 22:03:28, nfs: commencing lattice sieving with 40 threads
02/10/22 22:08:19, nfs: commencing lattice sieving with 40 threads
02/10/22 22:13:06, nfs: commencing lattice sieving with 40 threads
02/10/22 22:17:54, nfs: commencing lattice sieving with 40 threads
02/10/22 22:22:43, nfs: commencing lattice sieving with 40 threads
02/10/22 22:27:35, nfs: commencing lattice sieving with 40 threads
02/10/22 22:32:24, nfs: commencing lattice sieving with 40 threads
02/10/22 22:37:13, nfs: commencing lattice sieving with 40 threads
02/10/22 22:42:02, nfs: commencing lattice sieving with 40 threads
02/10/22 22:46:50, nfs: commencing lattice sieving with 40 threads
02/10/22 22:51:35, nfs: commencing lattice sieving with 40 threads
02/10/22 22:56:32, nfs: commencing lattice sieving with 40 threads
02/10/22 23:01:25, nfs: commencing lattice sieving with 40 threads
02/10/22 23:06:21, nfs: commencing lattice sieving with 40 threads
02/10/22 23:11:05, nfs: commencing lattice sieving with 40 threads
02/10/22 23:15:55, nfs: commencing lattice sieving with 40 threads
02/10/22 23:20:55, nfs: commencing lattice sieving with 40 threads
02/10/22 23:25:47, nfs: commencing lattice sieving with 40 threads
02/10/22 23:30:34, nfs: commencing lattice sieving with 40 threads
02/10/22 23:35:27, nfs: commencing lattice sieving with 40 threads
02/10/22 23:40:22, nfs: commencing lattice sieving with 40 threads
02/10/22 23:45:10, nfs: commencing lattice sieving with 40 threads
02/10/22 23:49:59, nfs: commencing lattice sieving with 40 threads
02/10/22 23:54:59, nfs: commencing lattice sieving with 40 threads
02/11/22 00:00:01, nfs: commencing lattice sieving with 40 threads
02/11/22 00:04:52, nfs: commencing lattice sieving with 40 threads
02/11/22 00:09:43, nfs: commencing lattice sieving with 40 threads
02/11/22 00:14:37, nfs: commencing lattice sieving with 40 threads
02/11/22 00:19:30, nfs: commencing lattice sieving with 40 threads
02/11/22 00:24:22, nfs: commencing lattice sieving with 40 threads
02/11/22 00:29:11, nfs: commencing lattice sieving with 40 threads
02/11/22 00:34:04, nfs: commencing lattice sieving with 40 threads
02/11/22 00:38:56, nfs: commencing lattice sieving with 40 threads
02/11/22 00:43:48, nfs: commencing lattice sieving with 40 threads
02/11/22 00:48:50, nfs: commencing lattice sieving with 40 threads
02/11/22 00:53:44, nfs: commencing lattice sieving with 40 threads
02/11/22 00:58:46, nfs: commencing lattice sieving with 40 threads
02/11/22 01:03:39, nfs: commencing lattice sieving with 40 threads
02/11/22 01:08:33, nfs: commencing lattice sieving with 40 threads
02/11/22 01:13:32, nfs: commencing lattice sieving with 40 threads
02/11/22 01:18:28, nfs: commencing lattice sieving with 40 threads
02/11/22 01:23:22, nfs: commencing lattice sieving with 40 threads
02/11/22 01:28:23, nfs: commencing lattice sieving with 40 threads
02/11/22 01:33:13, nfs: commencing lattice sieving with 40 threads
02/11/22 01:38:05, nfs: commencing lattice sieving with 40 threads
02/11/22 01:43:11, nfs: commencing lattice sieving with 40 threads
02/11/22 01:48:07, nfs: commencing lattice sieving with 40 threads
02/11/22 01:53:13, nfs: commencing lattice sieving with 40 threads
02/11/22 01:58:17, nfs: commencing lattice sieving with 40 threads
02/11/22 02:03:23, nfs: commencing lattice sieving with 40 threads
02/11/22 02:08:21, nfs: commencing lattice sieving with 40 threads
02/11/22 02:13:21, nfs: commencing lattice sieving with 40 threads
02/11/22 02:18:23, nfs: commencing lattice sieving with 40 threads
02/11/22 02:23:20, nfs: commencing lattice sieving with 40 threads
02/11/22 02:28:16, nfs: commencing lattice sieving with 40 threads
02/11/22 02:33:15, nfs: commencing lattice sieving with 40 threads
02/11/22 02:38:09, nfs: commencing lattice sieving with 40 threads
02/11/22 02:43:10, nfs: commencing lattice sieving with 40 threads
02/11/22 02:48:12, nfs: commencing lattice sieving with 40 threads
02/11/22 02:53:12, nfs: commencing lattice sieving with 40 threads
02/11/22 02:58:15, nfs: commencing lattice sieving with 40 threads
02/11/22 03:03:21, nfs: commencing lattice sieving with 40 threads
02/11/22 03:08:14, nfs: commencing lattice sieving with 40 threads
02/11/22 03:13:25, nfs: commencing lattice sieving with 40 threads
02/11/22 03:18:32, nfs: commencing lattice sieving with 40 threads
02/11/22 03:23:34, nfs: commencing lattice sieving with 40 threads
02/11/22 03:28:52, nfs: commencing lattice sieving with 40 threads
02/11/22 03:33:54, nfs: commencing lattice sieving with 40 threads
02/11/22 03:38:54, nfs: commencing lattice sieving with 40 threads
02/11/22 03:43:51, nfs: commencing lattice sieving with 40 threads
02/11/22 03:48:53, nfs: commencing lattice sieving with 40 threads
02/11/22 03:53:49, nfs: commencing lattice sieving with 40 threads
02/11/22 03:59:05, nfs: commencing lattice sieving with 40 threads
02/11/22 04:04:20, nfs: commencing lattice sieving with 40 threads
02/11/22 04:09:16, nfs: commencing lattice sieving with 40 threads
02/11/22 04:14:19, nfs: commencing lattice sieving with 40 threads
02/11/22 04:19:27, nfs: commencing lattice sieving with 40 threads
02/11/22 04:24:31, nfs: commencing lattice sieving with 40 threads
02/11/22 04:29:38, nfs: commencing lattice sieving with 40 threads
02/11/22 04:34:38, nfs: commencing lattice sieving with 40 threads
02/11/22 04:39:35, nfs: commencing lattice sieving with 40 threads
02/11/22 04:44:42, nfs: commencing lattice sieving with 40 threads
02/11/22 04:49:53, nfs: commencing lattice sieving with 40 threads
02/11/22 04:54:50, nfs: commencing lattice sieving with 40 threads
02/11/22 04:59:59, nfs: commencing lattice sieving with 40 threads
02/11/22 05:05:16, nfs: commencing lattice sieving with 40 threads
02/11/22 05:10:22, nfs: commencing lattice sieving with 40 threads
02/11/22 05:15:25, nfs: commencing lattice sieving with 40 threads
02/11/22 05:20:28, nfs: commencing lattice sieving with 40 threads
02/11/22 05:25:36, nfs: commencing lattice sieving with 40 threads
02/11/22 05:30:36, nfs: commencing lattice sieving with 40 threads
02/11/22 05:35:44, nfs: commencing lattice sieving with 40 threads
02/11/22 05:40:54, nfs: commencing lattice sieving with 40 threads
02/11/22 05:46:04, nfs: commencing lattice sieving with 40 threads
02/11/22 05:51:18, nfs: commencing lattice sieving with 40 threads
02/11/22 05:56:22, nfs: commencing lattice sieving with 40 threads
02/11/22 06:01:32, nfs: commencing lattice sieving with 40 threads
02/11/22 06:06:42, nfs: commencing lattice sieving with 40 threads
02/11/22 06:11:49, nfs: commencing lattice sieving with 40 threads
02/11/22 06:16:49, nfs: commencing lattice sieving with 40 threads
02/11/22 06:22:00, nfs: commencing lattice sieving with 40 threads
02/11/22 06:27:09, nfs: commencing lattice sieving with 40 threads
02/11/22 06:32:25, nfs: commencing lattice sieving with 40 threads
02/11/22 06:37:35, nfs: commencing lattice sieving with 40 threads
02/11/22 06:42:47, nfs: commencing lattice sieving with 40 threads
02/11/22 06:47:59, nfs: commencing lattice sieving with 40 threads
02/11/22 06:53:07, nfs: commencing lattice sieving with 40 threads
02/11/22 06:58:17, nfs: commencing lattice sieving with 40 threads
02/11/22 07:03:20, nfs: commencing lattice sieving with 40 threads
02/11/22 07:08:28, nfs: commencing msieve filtering
02/11/22 07:12:42, nfs: raising min_rels by 5.00 percent to 22163220
02/11/22 07:12:42, nfs: commencing lattice sieving with 40 threads
02/11/22 07:17:59, nfs: commencing lattice sieving with 40 threads
02/11/22 07:23:10, nfs: commencing lattice sieving with 40 threads
02/11/22 07:28:30, nfs: commencing lattice sieving with 40 threads
02/11/22 07:33:36, nfs: commencing lattice sieving with 40 threads
02/11/22 07:38:44, nfs: commencing lattice sieving with 40 threads
02/11/22 07:43:58, nfs: commencing msieve filtering
02/11/22 07:48:28, nfs: raising min_rels by 5.00 percent to 23326305
02/11/22 07:48:28, nfs: commencing lattice sieving with 40 threads
02/11/22 07:53:34, nfs: commencing lattice sieving with 40 threads
02/11/22 07:58:47, nfs: commencing lattice sieving with 40 threads
02/11/22 08:03:56, nfs: commencing lattice sieving with 40 threads
02/11/22 08:09:04, nfs: commencing lattice sieving with 40 threads
02/11/22 08:14:11, nfs: commencing lattice sieving with 40 threads
02/11/22 08:19:21, nfs: commencing lattice sieving with 40 threads
02/11/22 08:24:36, nfs: commencing msieve filtering
02/11/22 08:29:19, nfs: raising min_rels by 5.00 percent to 24664947
02/11/22 08:29:19, nfs: commencing lattice sieving with 40 threads
02/11/22 08:34:30, nfs: commencing lattice sieving with 40 threads
02/11/22 08:39:38, nfs: commencing lattice sieving with 40 threads
02/11/22 08:44:43, nfs: commencing lattice sieving with 40 threads
02/11/22 08:49:44, nfs: commencing lattice sieving with 40 threads
02/11/22 08:54:52, nfs: commencing lattice sieving with 40 threads
02/11/22 09:00:02, nfs: commencing lattice sieving with 40 threads
02/11/22 09:05:05, nfs: commencing msieve filtering
02/11/22 09:14:07, nfs: raising min_rels by 5.00 percent to 25988705
02/11/22 09:14:07, nfs: commencing lattice sieving with 40 threads
02/11/22 09:19:13, nfs: commencing lattice sieving with 40 threads
02/11/22 09:24:17, nfs: commencing lattice sieving with 40 threads
02/11/22 09:29:28, nfs: commencing lattice sieving with 40 threads
02/11/22 09:34:39, nfs: commencing lattice sieving with 40 threads
02/11/22 09:39:49, nfs: commencing lattice sieving with 40 threads
02/11/22 09:45:04, nfs: commencing lattice sieving with 40 threads
02/11/22 09:50:04, nfs: commencing msieve filtering
02/11/22 09:57:42, nfs: commencing msieve linear algebra
02/11/22 10:52:05, nfs: commencing msieve sqrt
02/11/22 12:40:09, prp110 = 65056751038506986843430849033686219069093808351853855142876728476695169925039512227642348372196874096145634643
02/11/22 12:40:09, C45 = 378698887451276174850168542572527743519166886
02/11/22 12:40:09, prp47 = 36079547132036197177778278766162546680372161931
software ソフトウェア
YAFU Version 2.07
Built with GCC 9
Using GMP-ECM 7.0.5-dev, Powered by GMP 6.2.1
Detected Intel(R) Xeon(R) Gold 5218R CPU @ 2.10GHz
Detected L1 = 32768 bytes, L2 = 28835840 bytes, CL = 64 bytes
Using 1 random witness for Rabin-Miller PRP checks
Cached 664579 primes; max prime is 9999991
execution environment 実行環境
Ubuntu 20.04.3 LTS

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJanuary 14, 2022 11:50:27 UTC 2022 年 1 月 14 日 (金) 20 時 50 分 27 秒 (日本時間)
2350Ignacio SantosJanuary 16, 2022 18:53:17 UTC 2022 年 1 月 17 日 (月) 3 時 53 分 17 秒 (日本時間)
4511e64480Ignacio SantosJanuary 29, 2022 20:36:03 UTC 2022 年 1 月 30 日 (日) 5 時 36 分 3 秒 (日本時間)

4×10202-2299

c179

name 名前Bob Backstrom
date 日付January 24, 2022 03:49:49 UTC 2022 年 1 月 24 日 (月) 12 時 49 分 49 秒 (日本時間)
composite number 合成数
11418072770114824256399588421926505615538832966922652154734523367325939646114396987114221458364617283871895957852084502505030780480749316420898636235315895452795737648684010576903<179>
prime factors 素因数
23507145454035262889006140303632672206219695626456317513<56>
485727745737617202256430130632108871183245157850786437036836363658793093505333445038274981269102050335465271706328761518031<123>
factorization results 素因数分解の結果
Number: n
N=11418072770114824256399588421926505615538832966922652154734523367325939646114396987114221458364617283871895957852084502505030780480749316420898636235315895452795737648684010576903  ( 179 digits)
SNFS difficulty: 202 digits.
Divisors found:

Mon Jan 24 14:45:35 2022  p56 factor: 23507145454035262889006140303632672206219695626456317513
Mon Jan 24 14:45:35 2022  p123 factor: 485727745737617202256430130632108871183245157850786437036836363658793093505333445038274981269102050335465271706328761518031
Mon Jan 24 14:45:35 2022  elapsed time 01:40:02 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.309).
Factorization parameters were as follows:
#
# N = 4x10^202-229 = 8(200)38
#
n: 11418072770114824256399588421926505615538832966922652154734523367325939646114396987114221458364617283871895957852084502505030780480749316420898636235315895452795737648684010576903
m: 10000000000000000000000000000000000000000
deg: 5
c5: 400
c0: -229
skew: 0.89
# Murphy_E = 9.946e-12
type: snfs
lss: 1
rlim: 16700000
alim: 16700000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16700000/16700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4962943 hash collisions in 32268675 relations (28842372 unique)
Msieve: matrix is 2108511 x 2108736 (737.2 MB)

Sieving start time : 2022/01/24 02:04:37
Sieving end time  : 2022/01/24 13:04:58

Total sieving time: 11hrs 0min 21secs.

Total relation processing time: 1hrs 27min 14sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 2sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16700000,16700000,28,28,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119028] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.153529] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.04 BogoMIPS (lpj=12798084)
[    0.152048] smpboot: Total of 16 processors activated (102384.67 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJanuary 14, 2022 10:00:15 UTC 2022 年 1 月 14 日 (金) 19 時 0 分 15 秒 (日本時間)
2350Ignacio SantosJanuary 19, 2022 16:42:26 UTC 2022 年 1 月 20 日 (木) 1 時 42 分 26 秒 (日本時間)

4×10204-2299

c189

composite cofactor 合成数の残り
180107596402510115592568443178947263333456764054740718683975397557796047885106482930561123347438891044511633230724005213968271829647191418514982513735618023430620690497286636882058463997131<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 14, 2022 10:00:06 UTC 2022 年 1 月 14 日 (金) 19 時 0 分 6 秒 (日本時間)
4511e622001200Dmitry DomanovFebruary 6, 2022 20:02:37 UTC 2022 年 2 月 7 日 (月) 5 時 2 分 37 秒 (日本時間)
1000Dmitry DomanovFebruary 19, 2022 20:38:53 UTC 2022 年 2 月 20 日 (日) 5 時 38 分 53 秒 (日本時間)
5043e61000 / 7016Dmitry DomanovFebruary 25, 2022 09:22:40 UTC 2022 年 2 月 25 日 (金) 18 時 22 分 40 秒 (日本時間)

4×10207-2299

c207

name 名前Ignacio Santos
date 日付May 10, 2022 16:38:17 UTC 2022 年 5 月 11 日 (水) 1 時 38 分 17 秒 (日本時間)
composite number 合成数
444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444419<207>
prime factors 素因数
46786388552180530837669432040173209363744837045380704122049860852242385999528061<80>
9499439007752408039784049709842969683881279789926593929189775275227543772683038087383080481450506768981983152258639383695031679<127>
factorization results 素因数分解の結果
N=444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444419
  ( 207 digits)
SNFS difficulty: 207 digits.
Divisors found:
 r1=46786388552180530837669432040173209363744837045380704122049860852242385999528061 (pp80)
 r2=9499439007752408039784049709842969683881279789926593929189775275227543772683038087383080481450506768981983152258639383695031679 (pp127)
Version: Msieve v. 1.52 (SVN 927)
Total time: 772.24 hours.
Scaled time: 6089.92 units (timescale=7.886).
Factorization parameters were as follows:
n: 444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444419
m: 100000000000000000000000000000000000000000
deg: 5
c5: 400
c0: -229
skew: 0.89
# Murphy_E = 6.122e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [10000000, 26100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 4174070 x 4174296
Total sieving time: 767.91 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 4.10 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,207.000,5,0,0,0,0,0,0,0,0,20000000,20000000,29,29,56,56,2.6,2.6,100000
total time: 772.24 hours.
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
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 14, 2022 09:59:58 UTC 2022 年 1 月 14 日 (金) 18 時 59 分 58 秒 (日本時間)
4511e62200 / 42131200Dmitry DomanovFebruary 10, 2022 10:38:55 UTC 2022 年 2 月 10 日 (木) 19 時 38 分 55 秒 (日本時間)
1000Dmitry DomanovMarch 2, 2022 18:16:10 UTC 2022 年 3 月 3 日 (木) 3 時 16 分 10 秒 (日本時間)

4×10209-2299

c127

name 名前Bob Backstrom
date 日付January 1, 2022 04:43:26 UTC 2022 年 1 月 1 日 (土) 13 時 43 分 26 秒 (日本時間)
composite number 合成数
7805171243967650019843526762139260764514115417053671311236816538218857180404132318698517656899386946738839165466802138472180323<127>
prime factors 素因数
2920794028907396352317385365491902117771535721959<49>
2672277184463907514631498807217673378639396927236374942156484398986473140981797<79>
factorization results 素因数分解の結果
CADO

STA:Sat 01 Jan 2022 11:14:54 AEDT (7,805,171,243,967,650,019,843,526,762,139,260,764,514,115,417,053,671,311,236,816,538,218,857,180,404,132,318,698,517,656,899,386,946,738,839,165,466,802,138,472,180,323 - C127)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 7805171243967650019843526762139260764514115417053671311236816538218857180404132318698517656899386946738839165466802138472180323 2>&1 | tee -a log142

Debug:root: Looking for parameter file for c127 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c125
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c125
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.3ct5dk48
Info:Database: Opened connection to database /tmp/cado.3ct5dk48/c125.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 7805171243967650019843526762139260764514115417053671311236816538218857180404132318698
517656899386946738839165466802138472180323
Debug:root: Root parameter dictionary:
N = 7805171243967650019843526762139260764514115417053671311236816538218857180404132318698517656899386946738839165466802138472180323
lim0 = 2377918
lim1 = 9209388
lpb0 = 27
lpb1 = 27
name = c125
...
n: 7805171243967650019843526762139260764514115417053671311236816538218857180404132318698517656899386946738839165466802138472180323
skew: 43519.84
c0: -31710837836760189517631547942
c1: 6071663038087480009364039
c2: 273577265712515404682
c3: -6209832635995869
c4: -41043646590
c5: 653400
Y0: -2605326084231624342569308
Y1: 198467508869311057
# MurphyE (Bf=9.21e+06,Bg=2.38e+06,area=3.09e+14) = 4.25e-10
# f(x) = 653400*x^5-41043646590*x^4-6209832635995869*x^3+273577265712515404682*x^2+6071663038087480009364039*x-31710837836760189517631547942
# g(x) = 198467508869311057*x-2605326084231624342569308
...
Info:Square Root: finished
Info:Square Root: Factors: 2672277184463907514631498807217673378639396927236374942156484398986473140981797 2920794028907396352317385365491902117771535721959
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 925.27/127.736
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21528.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21720/38.540/45.226/49.620/0.841
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 21720/36.720/41.025/46.040/1.429
Info:Polynomial Selection (size optimized): Total time: 1759.98
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1427.22
Info:Polynomial Selection (root optimized): Rootsieve time: 1426.31
Info:Generate Factor Base: Total cpu/real time for makefb: 12.06/1.13215
Info:Generate Free Relations: Total cpu/real time for freerel: 149.66/9.84076
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13057712
Info:Lattice Sieving: Average J: 3795.74 for 306751 special-q, max bucket fill: 0.730618
Info:Lattice Sieving: Total CPU time: 207444s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 34.17/42.443
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 42.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 189/57.7332
Info:Filtering - Singleton removal: Total cpu/real time for purge: 93.28/43.7473
Info:Filtering - Merging: Total cpu/real time for merge: 336.2/276.707
Info:Filtering - Merging: Total cpu/real time for replay: 32.38/25.6488
Info:Linear Algebra: Total cpu/real time for bwc: 15541.5/0.000436783
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 844.9
Info:Linear Algebra: Lingen CPU time 289.55, WCT time 27.23
Info:Linear Algebra: Mksol: WCT time 480.94
Info:Quadratic Characters: Total cpu/real time for characters: 32.45/8.32453
Info:Square Root: Total cpu/real time for sqrt: 925.27/127.736
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 227977/15876
Info:root: Cleaning up computation data in /tmp/cado.3ct5dk48
2672277184463907514631498807217673378639396927236374942156484398986473140981797 2920794028907396352317385365491902117771535721959

END:Sat 01 Jan 2022 15:39:31 AEDT (7,805,171,243,967,650,019,843,526,762,139,260,764,514,115,417,053,671,311,236,816,538,218,857,180,404,132,318,698,517,656,899,386,946,738,839,165,466,802,138,472,180,323 - C127)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosDecember 30, 2021 13:26:17 UTC 2021 年 12 月 30 日 (木) 22 時 26 分 17 秒 (日本時間)

4×10210-2299

c179

name 名前Dmitry Domanov
date 日付January 14, 2022 16:39:47 UTC 2022 年 1 月 15 日 (土) 1 時 39 分 47 秒 (日本時間)
composite number 合成数
19020572759447268758064478282486458369428115932263348463494172273210076622206199286828915536574349101194345756012527405815407206544937272041637865202894962064297780857867809845769<179>
prime factors 素因数
113429029143796094909376637179612352573<39>
167686992501139492865646370999231048036179088104161332043634657207961639881950260034856250683291224193967563835988895287828947460724872337853<141>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1529076838
Step 1 took 9150ms
Step 2 took 4506ms
********** Factor found in step 2: 113429029143796094909376637179612352573
Found prime factor of 39 digits: 113429029143796094909376637179612352573
Prime cofactor 167686992501139492865646370999231048036179088104161332043634657207961639881950260034856250683291224193967563835988895287828947460724872337853 has 141 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 14, 2022 09:59:52 UTC 2022 年 1 月 14 日 (金) 18 時 59 分 52 秒 (日本時間)

4×10211-2299

c209

name 名前Ignacio Santos
date 日付September 24, 2022 11:36:29 UTC 2022 年 9 月 24 日 (土) 20 時 36 分 29 秒 (日本時間)
composite number 合成数
70546737213403880070546737213403880070546737213403880070546737213403880070546737213403880070546737213403880070546737213403880070546737213403880070546737213403880070546737213403880070546737213403880070546737213<209>
prime factors 素因数
732702435468313172724362645274727395003615467863195372610022423054421309833596812972388702845193<96>
96282929874954374488477758317270987580217211523201022653821465182042908467907802863750068206185488245478317205141<113>
factorization results 素因数分解の結果
Number: 1
N=70546737213403880070546737213403880070546737213403880070546737213403880070546737213403880070546737213403880070546737213403880070546737213403880070546737213403880070546737213403880070546737213403880070546737213
  ( 209 digits)
SNFS difficulty: 211 digits.
Divisors found:
 r1=732702435468313172724362645274727395003615467863195372610022423054421309833596812972388702845193 (pp96)
 r2=96282929874954374488477758317270987580217211523201022653821465182042908467907802863750068206185488245478317205141 (pp113)
Version: Msieve v. 1.52 (SVN 927)
Total time: 775.32 hours.
Scaled time: 6005.62 units (timescale=7.746).
Factorization parameters were as follows:
n: 70546737213403880070546737213403880070546737213403880070546737213403880070546737213403880070546737213403880070546737213403880070546737213403880070546737213403880070546737213403880070546737213403880070546737213
m: 100000000000000000000000000000000000
deg: 6
c6: 40
c0: -229
skew: 1.34
# Murphy_E = 5.86e-12
type: snfs
lss: 1
rlim: 24000000
alim: 24000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6Factor base limits: 24000000/24000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved rational special-q in [12000000, 27200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 4137877 x 4138103
Total sieving time: 770.49 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 4.31 hours.
Time per square root: 0.38 hours.
Prototype def-par.txt line would be:
snfs,211.000,6,0,0,0,0,0,0,0,0,24000000,24000000,29,29,57,57,2.6,2.6,100000
total time: 775.32 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
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 14, 2022 08:20:40 UTC 2022 年 1 月 14 日 (金) 17 時 20 分 40 秒 (日本時間)
4511e666801200Dmitry DomanovFebruary 10, 2022 15:00:28 UTC 2022 年 2 月 11 日 (金) 0 時 0 分 28 秒 (日本時間)
1000Dmitry DomanovMarch 2, 2022 18:18:13 UTC 2022 年 3 月 3 日 (木) 3 時 18 分 13 秒 (日本時間)
4480Ignacio SantosApril 24, 2022 14:10:35 UTC 2022 年 4 月 24 日 (日) 23 時 10 分 35 秒 (日本時間)

4×10212-2299

c212

composite cofactor 合成数の残り
44444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444419<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 13, 2022 23:33:43 UTC 2022 年 1 月 14 日 (金) 8 時 33 分 43 秒 (日本時間)
4511e666801200Dmitry DomanovFebruary 10, 2022 15:00:37 UTC 2022 年 2 月 11 日 (金) 0 時 0 分 37 秒 (日本時間)
1000Dmitry DomanovMarch 4, 2022 18:21:56 UTC 2022 年 3 月 5 日 (土) 3 時 21 分 56 秒 (日本時間)
4480Ignacio SantosJuly 9, 2022 20:16:57 UTC 2022 年 7 月 10 日 (日) 5 時 16 分 57 秒 (日本時間)

4×10214-2299

c142

name 名前Ignacio Santos
date 日付December 30, 2021 21:50:37 UTC 2021 年 12 月 31 日 (金) 6 時 50 分 37 秒 (日本時間)
composite number 合成数
9921015151271671763344663081112682629211111682950557806757089233296503715304243902996308071607963640942100925040715251337494980873008240717191<142>
prime factors 素因数
63819426495003499231826793693077609<35>
155454470466737900636692152268443562856330653826647218980865332117172089313759863339779960464953068167897199<108>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:655987407
Step 1 took 5813ms
Step 2 took 3312ms
********** Factor found in step 2: 63819426495003499231826793693077609
Found prime factor of 35 digits: 63819426495003499231826793693077609
Prime cofactor 155454470466737900636692152268443562856330653826647218980865332117172089313759863339779960464953068167897199 has 108 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
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

4×10215-2299

c201

composite cofactor 合成数の残り
228671934022060019826589442609434917824856565479692579426052593149910364133465069583124936887182740749678437223034353189364299299603139239178967111554995269824412856507764466669834488250001079679098919<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 14, 2022 05:37:39 UTC 2022 年 1 月 14 日 (金) 14 時 37 分 39 秒 (日本時間)
4511e62200 / 42131200Dmitry DomanovFebruary 10, 2022 13:09:50 UTC 2022 年 2 月 10 日 (木) 22 時 9 分 50 秒 (日本時間)
1000Dmitry DomanovMarch 2, 2022 18:18:27 UTC 2022 年 3 月 3 日 (木) 3 時 18 分 27 秒 (日本時間)

4×10217-2299

c147

name 名前Ignacio Santos
date 日付January 9, 2022 10:16:53 UTC 2022 年 1 月 9 日 (日) 19 時 16 分 53 秒 (日本時間)
composite number 合成数
195643661401951582120983570080200402375119441176397503396720882568325197224288237192825749336201585810305136479101570196519135470348133774454912393<147>
prime factors 素因数
381232438959862710603246976598384139455657<42>
513187340342120075765759354193053732974272551795409452346542687348348034702821119733019816510091347463649<105>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1637851741
Step 1 took 21562ms
Step 2 took 10766ms
********** Factor found in step 2: 381232438959862710603246976598384139455657
Found prime factor of 42 digits: 381232438959862710603246976598384139455657
Prime cofactor 513187340342120075765759354193053732974272551795409452346542687348348034702821119733019816510091347463649 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
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosDecember 30, 2021 22:06:24 UTC 2021 年 12 月 31 日 (金) 7 時 6 分 24 秒 (日本時間)

4×10218-2299

c185

composite cofactor 合成数の残り
18593815555623580209663380583508568589399004506407827349241295809042451237196886240132806865646692511661676429828350083387525572875997391241672502489995054052040052797725462685219368479<185>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 13, 2022 22:48:54 UTC 2022 年 1 月 14 日 (金) 7 時 48 分 54 秒 (日本時間)
4511e622001200Dmitry DomanovFebruary 6, 2022 20:02:46 UTC 2022 年 2 月 7 日 (月) 5 時 2 分 46 秒 (日本時間)
1000Dmitry DomanovFebruary 19, 2022 20:39:53 UTC 2022 年 2 月 20 日 (日) 5 時 39 分 53 秒 (日本時間)
5043e61000 / 7016Dmitry DomanovFebruary 25, 2022 09:22:50 UTC 2022 年 2 月 25 日 (金) 18 時 22 分 50 秒 (日本時間)

4×10219-2299

c212

composite cofactor 合成数の残り
71801288068437110517278558141101988577958796005127114577102888750707310001181669698386303746338111870607185977021756885254379488152670791614765554344447329061192593905359476110517763216835563939073950426272579553<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 13, 2022 22:50:21 UTC 2022 年 1 月 14 日 (金) 7 時 50 分 21 秒 (日本時間)
4511e666801200Dmitry DomanovFebruary 10, 2022 15:00:46 UTC 2022 年 2 月 11 日 (金) 0 時 0 分 46 秒 (日本時間)
1000Dmitry DomanovMarch 4, 2022 18:20:16 UTC 2022 年 3 月 5 日 (土) 3 時 20 分 16 秒 (日本時間)
4480Ignacio SantosSeptember 24, 2022 14:36:17 UTC 2022 年 9 月 24 日 (土) 23 時 36 分 17 秒 (日本時間)

4×10220-2299

c219

name 名前Dmitry Domanov
date 日付March 5, 2022 17:29:33 UTC 2022 年 3 月 6 日 (日) 2 時 29 分 33 秒 (日本時間)
composite number 合成数
493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160491<219>
prime factors 素因数
96281082915210275212069473742212996705656537557<47>
5129015436279574958343787428535539975461380068458296298841392477102492995043650739292579215126663369400210673854487354306273748205830482318620791669023290349512511130619263<172>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:655459730
Step 1 took 36492ms
********** Factor found in step 1: 96281082915210275212069473742212996705656537557
Found prime factor of 47 digits: 96281082915210275212069473742212996705656537557
Prime cofactor 5129015436279574958343787428535539975461380068458296298841392477102492995043650739292579215126663369400210673854487354306273748205830482318620791669023290349512511130619263 has 172 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 13, 2022 22:50:16 UTC 2022 年 1 月 14 日 (金) 7 時 50 分 16 秒 (日本時間)
4511e62200 / 42131200Dmitry DomanovFebruary 10, 2022 15:59:26 UTC 2022 年 2 月 11 日 (金) 0 時 59 分 26 秒 (日本時間)
1000Dmitry DomanovMarch 4, 2022 18:21:01 UTC 2022 年 3 月 5 日 (土) 3 時 21 分 1 秒 (日本時間)

4×10221-2299

c178

name 名前Dmitry Domanov
date 日付January 14, 2022 09:59:18 UTC 2022 年 1 月 14 日 (金) 18 時 59 分 18 秒 (日本時間)
composite number 合成数
3820712857090747281903348679843803992142709781489347861334656596170363592259975510226799485335703531342732998034499917030357235907168741311804273823307741407860174234788907433781<178>
prime factors 素因数
10991786119349102625676982041619327057<38>
347597088917610536112045999504500793126612665038643463061792631749517050587214981559417590992650759930843811040987580683587782888390809293733<141>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2888358102
Step 1 took 9182ms
Step 2 took 4235ms
********** Factor found in step 2: 10991786119349102625676982041619327057
Found prime factor of 38 digits: 10991786119349102625676982041619327057
Prime cofactor 347597088917610536112045999504500793126612665038643463061792631749517050587214981559417590992650759930843811040987580683587782888390809293733 has 141 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 13, 2022 22:49:51 UTC 2022 年 1 月 14 日 (金) 7 時 49 分 51 秒 (日本時間)

4×10223-2299

c219

name 名前Dmitry Domanov
date 日付January 14, 2022 21:38:32 UTC 2022 年 1 月 15 日 (土) 6 時 38 分 32 秒 (日本時間)
composite number 合成数
533098769874588514387003051990457532019244865592472645369370810176855516905894739647888262497834286247384484160302800101288766276171817733530579878186931083656524462569802620180453933602548212120000533098769874588514387<219>
prime factors 素因数
5842644428651802362186870990946082549<37>
composite cofactor 合成数の残り
91242720036208284885730025272074896538653274731293561665107374563675347136443652592366186350154861272171086361390530274457024510888594258289040531091944049723594213336574664950996263<182>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=897059285
Step 1 took 12984ms
Step 2 took 4096ms
********** Factor found in step 2: 5842644428651802362186870990946082549
Found probable prime factor of 37 digits: 5842644428651802362186870990946082549
Composite cofactor 91242720036208284885730025272074896538653274731293561665107374563675347136443652592366186350154861272171086361390530274457024510888594258289040531091944049723594213336574664950996263 has 182 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 13, 2022 21:46:19 UTC 2022 年 1 月 14 日 (金) 6 時 46 分 19 秒 (日本時間)
4511e622001200Dmitry DomanovFebruary 6, 2022 20:02:55 UTC 2022 年 2 月 7 日 (月) 5 時 2 分 55 秒 (日本時間)
1000Dmitry DomanovFebruary 19, 2022 20:39:22 UTC 2022 年 2 月 20 日 (日) 5 時 39 分 22 秒 (日本時間)
5043e61000 / 7016Dmitry DomanovFebruary 24, 2022 21:52:31 UTC 2022 年 2 月 25 日 (金) 6 時 52 分 31 秒 (日本時間)

4×10225-2299

c174

composite cofactor 合成数の残り
751264024132536358518146037574980680990103257411234712239077454411497913828229403953915721424368811209814615903329009132293303908205596974245679416447148792314877035608593853<174>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 13, 2022 21:46:11 UTC 2022 年 1 月 14 日 (金) 6 時 46 分 11 秒 (日本時間)
4511e622001200Dmitry DomanovFebruary 6, 2022 20:03:04 UTC 2022 年 2 月 7 日 (月) 5 時 3 分 4 秒 (日本時間)
1000Dmitry DomanovFebruary 19, 2022 20:39:23 UTC 2022 年 2 月 20 日 (日) 5 時 39 分 23 秒 (日本時間)
5043e61000 / 7016Dmitry DomanovFebruary 24, 2022 21:30:05 UTC 2022 年 2 月 25 日 (金) 6 時 30 分 5 秒 (日本時間)

4×10226-2299

c215

composite cofactor 合成数の残り
22031564293879212251801872502923366796924888825621623420375529001581940228343209653007617096926817355903221511219786977645754243647666040527669004594271058838372683663887322530687082916812435111382866991111047767037<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 13, 2022 21:45:58 UTC 2022 年 1 月 14 日 (金) 6 時 45 分 58 秒 (日本時間)
4511e62200 / 42131200Dmitry DomanovFebruary 10, 2022 15:59:35 UTC 2022 年 2 月 11 日 (金) 0 時 59 分 35 秒 (日本時間)
1000Dmitry DomanovMarch 4, 2022 18:21:02 UTC 2022 年 3 月 5 日 (土) 3 時 21 分 2 秒 (日本時間)

4×10227-2299

c224

composite cofactor 合成数の残り
26822235633340038892241668343056393750419097431770938107691276067860256152350298397371420907932676188560316502380473412458928451686448065446254945349694897069670757057600751022597733521088982766713605579025011734728089586267<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 13, 2022 21:46:04 UTC 2022 年 1 月 14 日 (金) 6 時 46 分 4 秒 (日本時間)
4511e62200 / 42131200Dmitry DomanovFebruary 10, 2022 15:59:44 UTC 2022 年 2 月 11 日 (金) 0 時 59 分 44 秒 (日本時間)
1000Dmitry DomanovMarch 5, 2022 15:11:16 UTC 2022 年 3 月 6 日 (日) 0 時 11 分 16 秒 (日本時間)

4×10229-2299

c195

composite cofactor 合成数の残り
368835108765569212514666987556593882026297326916128922813498233905388120029925039443782201078776386952133862902071789123638330117196924006697940892663896736263533564068065311540332375668222966579<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 13, 2022 21:43:24 UTC 2022 年 1 月 14 日 (金) 6 時 43 分 24 秒 (日本時間)
4511e622001200Dmitry DomanovFebruary 6, 2022 20:06:33 UTC 2022 年 2 月 7 日 (月) 5 時 6 分 33 秒 (日本時間)
1000Dmitry DomanovFebruary 19, 2022 20:39:31 UTC 2022 年 2 月 20 日 (日) 5 時 39 分 31 秒 (日本時間)
5043e61000 / 7016Dmitry DomanovFebruary 25, 2022 20:26:46 UTC 2022 年 2 月 26 日 (土) 5 時 26 分 46 秒 (日本時間)

4×10230-2299

c196

composite cofactor 合成数の残り
2145881580823916493934736740918179905352410776432375765689922600427432928063742304889178734723383010241591893252142129497149744182369652750312044997450303784798226051830821734273790662014176115037<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 13, 2022 21:43:17 UTC 2022 年 1 月 14 日 (金) 6 時 43 分 17 秒 (日本時間)
4511e622001200Dmitry DomanovFebruary 6, 2022 20:06:51 UTC 2022 年 2 月 7 日 (月) 5 時 6 分 51 秒 (日本時間)
1000Dmitry DomanovFebruary 19, 2022 20:39:40 UTC 2022 年 2 月 20 日 (日) 5 時 39 分 40 秒 (日本時間)
5043e61000 / 7016Dmitry DomanovFebruary 25, 2022 20:26:45 UTC 2022 年 2 月 26 日 (土) 5 時 26 分 45 秒 (日本時間)

4×10231-2299

c176

name 名前Dmitry Domanov
date 日付February 25, 2022 07:43:52 UTC 2022 年 2 月 25 日 (金) 16 時 43 分 52 秒 (日本時間)
composite number 合成数
14392511292686643468365525475349838749653877029230549519054708697718949839811163460164623605437380969242257959544464872246214305578328202468486601655060445226491129295424380689<176>
prime factors 素因数
3479914168805271623694584770907745057051532447<46>
4135881115029885348441628566777232620619955961572380684075628216782668236957819122203004688817582687821659774159942331142443857487<130>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:818584669
Step 1 took 122312ms
Step 2 took 42478ms
********** Factor found in step 2: 3479914168805271623694584770907745057051532447
Found prime factor of 46 digits: 3479914168805271623694584770907745057051532447
Prime cofactor 4135881115029885348441628566777232620619955961572380684075628216782668236957819122203004688817582687821659774159942331142443857487 has 130 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 13, 2022 21:43:09 UTC 2022 年 1 月 14 日 (金) 6 時 43 分 9 秒 (日本時間)
4511e622001200Dmitry DomanovFebruary 6, 2022 20:07:00 UTC 2022 年 2 月 7 日 (月) 5 時 7 分 0 秒 (日本時間)
1000Dmitry DomanovFebruary 19, 2022 20:39:47 UTC 2022 年 2 月 20 日 (日) 5 時 39 分 47 秒 (日本時間)
5043e61000 / 7016Dmitry DomanovFebruary 24, 2022 21:30:08 UTC 2022 年 2 月 25 日 (金) 6 時 30 分 8 秒 (日本時間)

4×10232-2299

c149

name 名前Ignacio Santos
date 日付January 5, 2022 11:28:21 UTC 2022 年 1 月 5 日 (水) 20 時 28 分 21 秒 (日本時間)
composite number 合成数
35546167310663437124675232060001619364943637237566461104154173129860711759187398279534275734133810726592253934107733634074037036005338553848651818409<149>
prime factors 素因数
116741087636394531293815389305978656713643<42>
304487203523207265952210725832048378922390787009045467189302226220984478498086866235956141880752230482362363<108>
factorization results 素因数分解の結果
Step 1 took 21468ms
Step 2 took 438ms
********** Factor found in step 2: 116741087636394531293815389305978656713643
Found prime factor of 42 digits: 116741087636394531293815389305978656713643
Prime cofactor 304487203523207265952210725832048378922390787009045467189302226220984478498086866235956141880752230482362363 has 108 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
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosDecember 30, 2021 22:14:58 UTC 2021 年 12 月 31 日 (金) 7 時 14 分 58 秒 (日本時間)

4×10233-2299

c231

composite cofactor 合成数の残り
625978090766823161189358372456964006259780907668231611893583724569640062597809076682316118935837245696400625978090766823161189358372456964006259780907668231611893583724569640062597809076682316118935837245696400625978090766823161189<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 13, 2022 18:30:49 UTC 2022 年 1 月 14 日 (金) 3 時 30 分 49 秒 (日本時間)
4511e62200 / 42131200Dmitry DomanovFebruary 10, 2022 16:18:47 UTC 2022 年 2 月 11 日 (金) 1 時 18 分 47 秒 (日本時間)
1000Dmitry DomanovMarch 5, 2022 15:13:11 UTC 2022 年 3 月 6 日 (日) 0 時 13 分 11 秒 (日本時間)

4×10235-2299

c207

composite cofactor 合成数の残り
712020564324803605103714797387172743829593710502539990757844511511575039899455889150138480347595641661308278983844229943461056894294306907321769013803427710588317696686105410496880463040503948093268026202211<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 13, 2022 19:26:14 UTC 2022 年 1 月 14 日 (金) 4 時 26 分 14 秒 (日本時間)
4511e62200 / 42131200Dmitry DomanovFebruary 10, 2022 15:59:55 UTC 2022 年 2 月 11 日 (金) 0 時 59 分 55 秒 (日本時間)
1000Dmitry DomanovMarch 2, 2022 18:16:57 UTC 2022 年 3 月 3 日 (木) 3 時 16 分 57 秒 (日本時間)

4×10237-2299

c180

composite cofactor 合成数の残り
758594779610266808328311570073007680878396977182014482202427811503348680862158693698860418149862105891607521804119802809611551648977157573439561107817731708783669351670305642850261<180>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 13, 2022 21:42:49 UTC 2022 年 1 月 14 日 (金) 6 時 42 分 49 秒 (日本時間)
4511e622001200Dmitry DomanovFebruary 6, 2022 21:18:07 UTC 2022 年 2 月 7 日 (月) 6 時 18 分 7 秒 (日本時間)
1000Dmitry DomanovFebruary 19, 2022 20:39:56 UTC 2022 年 2 月 20 日 (日) 5 時 39 分 56 秒 (日本時間)
5043e61000 / 7016Dmitry DomanovFebruary 24, 2022 21:51:36 UTC 2022 年 2 月 25 日 (金) 6 時 51 分 36 秒 (日本時間)

4×10239-2299

c177

composite cofactor 合成数の残り
276566673219602621053575040410692362722013826213338222547373573923676743659799700826508150782173776627138273624022298793334857831021834114060729046441286587263610560398088534099<177>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 13, 2022 21:42:55 UTC 2022 年 1 月 14 日 (金) 6 時 42 分 55 秒 (日本時間)
4511e622001200Dmitry DomanovFebruary 6, 2022 21:18:16 UTC 2022 年 2 月 7 日 (月) 6 時 18 分 16 秒 (日本時間)
1000Dmitry DomanovFebruary 19, 2022 20:40:05 UTC 2022 年 2 月 20 日 (日) 5 時 40 分 5 秒 (日本時間)
5043e61000 / 7016Dmitry DomanovFebruary 24, 2022 21:30:45 UTC 2022 年 2 月 25 日 (金) 6 時 30 分 45 秒 (日本時間)

4×10240-2299

c186

composite cofactor 合成数の残り
205850638297758803427088820894221399378728812178826863548761955316813308246486301440356088351180402682458945803058327120448928656531754053716988776733887694972298074605716966227369000209<186>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 13, 2022 21:43:03 UTC 2022 年 1 月 14 日 (金) 6 時 43 分 3 秒 (日本時間)
4511e622001200Dmitry DomanovFebruary 6, 2022 21:18:24 UTC 2022 年 2 月 7 日 (月) 6 時 18 分 24 秒 (日本時間)
1000Dmitry DomanovFebruary 19, 2022 20:40:14 UTC 2022 年 2 月 20 日 (日) 5 時 40 分 14 秒 (日本時間)
5043e61000 / 7016Dmitry DomanovFebruary 25, 2022 09:23:41 UTC 2022 年 2 月 25 日 (金) 18 時 23 分 41 秒 (日本時間)

4×10242-2299

c227

composite cofactor 合成数の残り
16294598619029105280789676438789470693081159926085105992439376231298137859767451788401682865310885250037640807129795128403469581640044280596759334112437541697476575534865159981784043431927483452241235275982533784847363300888587<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 13, 2022 17:04:36 UTC 2022 年 1 月 14 日 (金) 2 時 4 分 36 秒 (日本時間)
4511e62200 / 42131200Dmitry DomanovFebruary 10, 2022 18:34:08 UTC 2022 年 2 月 11 日 (金) 3 時 34 分 8 秒 (日本時間)
1000Dmitry DomanovMarch 5, 2022 15:12:48 UTC 2022 年 3 月 6 日 (日) 0 時 12 分 48 秒 (日本時間)

4×10243-2299

c210

name 名前Dmitry Domanov
date 日付January 14, 2022 20:43:11 UTC 2022 年 1 月 15 日 (土) 5 時 43 分 11 秒 (日本時間)
composite number 合成数
474856915048322141466948909429987027909045125123504526607082609371511396712064119038267520225074045373435384811608562057906838270394998024800908876525244239211499135146851753140625286919526534932350807524025039<210>
prime factors 素因数
1017159076037751924169761525535164711739<40>
composite cofactor 合成数の残り
466846264497862865936506826490903402646529273958896588812660127450278426755696489762684478071875661139972295054732126817541246808042262683391011793132091292829825758264701<171>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1067468064
Step 1 took 10455ms
Step 2 took 3568ms
********** Factor found in step 2: 1017159076037751924169761525535164711739
Found probable prime factor of 40 digits: 1017159076037751924169761525535164711739
Composite cofactor 466846264497862865936506826490903402646529273958896588812660127450278426755696489762684478071875661139972295054732126817541246808042262683391011793132091292829825758264701 has 171 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 13, 2022 11:31:44 UTC 2022 年 1 月 13 日 (木) 20 時 31 分 44 秒 (日本時間)
4511e622001200Dmitry DomanovFebruary 7, 2022 08:19:55 UTC 2022 年 2 月 7 日 (月) 17 時 19 分 55 秒 (日本時間)
1000Dmitry DomanovFebruary 19, 2022 20:40:22 UTC 2022 年 2 月 20 日 (日) 5 時 40 分 22 秒 (日本時間)
5043e61000 / 7016Dmitry DomanovFebruary 24, 2022 21:51:36 UTC 2022 年 2 月 25 日 (金) 6 時 51 分 36 秒 (日本時間)

4×10244-2299

c244

composite cofactor 合成数の残り
1481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481473<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 13, 2022 13:35:35 UTC 2022 年 1 月 13 日 (木) 22 時 35 分 35 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 10, 2022 18:35:03 UTC 2022 年 2 月 11 日 (金) 3 時 35 分 3 秒 (日本時間)

4×10245-2299

c241

name 名前Dmitry Domanov
date 日付February 11, 2022 05:38:35 UTC 2022 年 2 月 11 日 (金) 14 時 38 分 35 秒 (日本時間)
composite number 合成数
7693343334679668416902275306291231511934298847921835631719654568884272882888081087838747523705114149981728309580135787509857096147558325159156040236185640374665820398899851903140807416382974631200353893793395264747177504664089396649548977747<241>
prime factors 素因数
47136380833398450085932249587999724438327137<44>
composite cofactor 合成数の残り
163214553146782014081398031956905048470044563031604169763827161588317205409002525748377463124182429289843750514917735072919187131058447166590521390087119573194665111175495117341634499478813316564531<198>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=799061398
Step 1 took 54715ms
Step 2 took 17031ms
********** Factor found in step 2: 47136380833398450085932249587999724438327137
Found probable prime factor of 44 digits: 47136380833398450085932249587999724438327137
Composite cofactor 163214553146782014081398031956905048470044563031604169763827161588317205409002525748377463124182429289843750514917735072919187131058447166590521390087119573194665111175495117341634499478813316564531 has 198 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 13, 2022 14:30:26 UTC 2022 年 1 月 13 日 (木) 23 時 30 分 26 秒 (日本時間)
4511e622001200Dmitry DomanovFebruary 10, 2022 18:35:13 UTC 2022 年 2 月 11 日 (金) 3 時 35 分 13 秒 (日本時間)
1000Dmitry DomanovFebruary 19, 2022 20:40:48 UTC 2022 年 2 月 20 日 (日) 5 時 40 分 48 秒 (日本時間)
5043e61000 / 7016Dmitry DomanovFebruary 25, 2022 20:26:24 UTC 2022 年 2 月 26 日 (土) 5 時 26 分 24 秒 (日本時間)

4×10247-2299

c245

name 名前Dmitry Domanov
date 日付February 11, 2022 05:24:07 UTC 2022 年 2 月 11 日 (金) 14 時 24 分 7 秒 (日本時間)
composite number 合成数
70546737213403880070546737213403880070546737213403880070546737213403880070546737213403880070546737213403880070546737213403880070546737213403880070546737213403880070546737213403880070546737213403880070546737213403880070546737213403880070546737213<245>
prime factors 素因数
3514880524183062102937753835724054179<37>
composite cofactor 合成数の残り
20070877723447098023376795208511471532097718601596782440411070176612476564776180022591368840898824614850674666561400208968583091660646550744471299751155053379271078247795214070156986703264102606494939298745247<209>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1021871573
Step 1 took 43153ms
Step 2 took 17295ms
********** Factor found in step 2: 3514880524183062102937753835724054179
Found prime factor of 37 digits: 3514880524183062102937753835724054179
Composite cofactor 20070877723447098023376795208511471532097718601596782440411070176612476564776180022591368840898824614850674666561400208968583091660646550744471299751155053379271078247795214070156986703264102606494939298745247 has 209 digits

c209

name 名前Dmitry Domanov
date 日付March 3, 2022 19:38:21 UTC 2022 年 3 月 4 日 (金) 4 時 38 分 21 秒 (日本時間)
composite number 合成数
20070877723447098023376795208511471532097718601596782440411070176612476564776180022591368840898824614850674666561400208968583091660646550744471299751155053379271078247795214070156986703264102606494939298745247<209>
prime factors 素因数
254848073819147523052313736672401375219<39>
composite cofactor 合成数の残り
78756246506655413370744132682806012749345706455890158992520478383543114270263374737267338264625472278936834733297397971167729755545513483640383278022900887720811571944613<170>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2510683273
Step 1 took 49056ms
Step 2 took 16552ms
********** Factor found in step 2: 254848073819147523052313736672401375219
Found probable prime factor of 39 digits: 254848073819147523052313736672401375219
Composite cofactor 78756246506655413370744132682806012749345706455890158992520478383543114270263374737267338264625472278936834733297397971167729755545513483640383278022900887720811571944613 has 170 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 13, 2022 11:31:21 UTC 2022 年 1 月 13 日 (木) 20 時 31 分 21 秒 (日本時間)
4511e62200 / 42131200Dmitry DomanovFebruary 11, 2022 04:57:52 UTC 2022 年 2 月 11 日 (金) 13 時 57 分 52 秒 (日本時間)
1000Dmitry DomanovMarch 2, 2022 18:16:58 UTC 2022 年 3 月 3 日 (木) 3 時 16 分 58 秒 (日本時間)

4×10248-2299

c209

composite cofactor 合成数の残り
44035141970011391898608480592205211137329066841508058864645191837314354302392321695626221055073990905477947813921654652610870314152874600702259881107823739869436370675175931694710100802030239781198968139528131<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 13, 2022 11:31:10 UTC 2022 年 1 月 13 日 (木) 20 時 31 分 10 秒 (日本時間)
4511e62200 / 42131200Dmitry DomanovFebruary 10, 2022 21:20:58 UTC 2022 年 2 月 11 日 (金) 6 時 20 分 58 秒 (日本時間)
1000Dmitry DomanovMarch 2, 2022 18:16:58 UTC 2022 年 3 月 3 日 (木) 3 時 16 分 58 秒 (日本時間)

4×10249-2299

c246

composite cofactor 合成数の残り
169570562550341260757132561787273729280596888380177201237865106617491203527067701047098223748357285175293569036415278307685785747594217643817033363008181779643053965831531646106235957437788799864343549959726991394293950570181016575522489295858239<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 13, 2022 11:30:58 UTC 2022 年 1 月 13 日 (木) 20 時 30 分 58 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 11, 2022 17:14:33 UTC 2022 年 2 月 12 日 (土) 2 時 14 分 33 秒 (日本時間)

4×10251-2299

c244

name 名前Dmitry Domanov
date 日付January 13, 2022 21:40:15 UTC 2022 年 1 月 14 日 (金) 6 時 40 分 15 秒 (日本時間)
composite number 合成数
1749790026290463910762248474409476159366798583774196211313515010269714515676690369453597049262586645391669653011432161272792365711609835389509405989724611790163062801315756360059140628161583502580680007512023561867590615293408925487322099777603<244>
prime factors 素因数
10505054530081280311926086180270255258219<41>
composite cofactor 合成数の残り
166566486759295797273888173561161827035592810993254838648943604232649159791992154240271983160370955364802416105628235746401008509927926536526337820283826920423842518442326508981330679001582852329707206537<204>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=660884346
Step 1 took 12556ms
Step 2 took 4364ms
********** Factor found in step 2: 10505054530081280311926086180270255258219
Found probable prime factor of 41 digits: 10505054530081280311926086180270255258219
Composite cofactor 166566486759295797273888173561161827035592810993254838648943604232649159791992154240271983160370955364802416105628235746401008509927926536526337820283826920423842518442326508981330679001582852329707206537 has 204 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 13, 2022 11:30:50 UTC 2022 年 1 月 13 日 (木) 20 時 30 分 50 秒 (日本時間)
4511e62200 / 42131200Dmitry DomanovFebruary 11, 2022 19:14:11 UTC 2022 年 2 月 12 日 (土) 4 時 14 分 11 秒 (日本時間)
1000Dmitry DomanovMarch 2, 2022 18:17:05 UTC 2022 年 3 月 3 日 (木) 3 時 17 分 5 秒 (日本時間)

4×10252-2299

c234

composite cofactor 合成数の残り
407239621081222944461528515838602115012195409095422749498455714150278367966484485273609524356250391929827358529994135112969562735787017324444578551942170135005241403878203222544362221944672701232915075826807966675634122752778257697421<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 13, 2022 11:30:42 UTC 2022 年 1 月 13 日 (木) 20 時 30 分 42 秒 (日本時間)
4511e62200 / 42131200Dmitry DomanovFebruary 11, 2022 19:14:28 UTC 2022 年 2 月 12 日 (土) 4 時 14 分 28 秒 (日本時間)
1000Dmitry DomanovMarch 5, 2022 15:12:55 UTC 2022 年 3 月 6 日 (日) 0 時 12 分 55 秒 (日本時間)

4×10254-2299

c246

composite cofactor 合成数の残り
136097353123250811958765132765490876414689327702072621384990229650976476784119332276893280909708079346794248231478436615095116318680348183805949544038294591437190257161082999028983832967862775028589128868228847953778796580787681933635971180159239<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 13, 2022 11:30:33 UTC 2022 年 1 月 13 日 (木) 20 時 30 分 33 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 11, 2022 17:15:04 UTC 2022 年 2 月 12 日 (土) 2 時 15 分 4 秒 (日本時間)

4×10255-2299

c210

composite cofactor 合成数の残り
102259071496595185983301495798482680195921260314377412652969135250025676513361203444949125134291833285615263420300185320846110277675648766739027534244393502401985334853338568841943460341797762944336717019757463<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 13, 2022 11:30:24 UTC 2022 年 1 月 13 日 (木) 20 時 30 分 24 秒 (日本時間)
4511e62200 / 42131200Dmitry DomanovFebruary 11, 2022 19:14:47 UTC 2022 年 2 月 12 日 (土) 4 時 14 分 47 秒 (日本時間)
1000Dmitry DomanovMarch 2, 2022 18:20:00 UTC 2022 年 3 月 3 日 (木) 3 時 20 分 0 秒 (日本時間)

4×10257-2299

c223

name 名前Dmitry Domanov
date 日付January 14, 2022 05:40:09 UTC 2022 年 1 月 14 日 (金) 14 時 40 分 9 秒 (日本時間)
composite number 合成数
1059376095127302584189689177793946150947060894400732529182305001551919281788562753253342357598313650967304781788382940757708732059285472660880167796161376182760403822869720939006568968628477473029992002811936593055475756023<223>
prime factors 素因数
12901402699261765576807920599027289307<38>
82113249219631087971835108907787656761898459676810560192192126181525002563369885438637015472373955787331502636480190608662685945053223483630681549482069225324996422019710867075815111189<185>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1231109720
Step 1 took 12541ms
Step 2 took 3901ms
********** Factor found in step 2: 12901402699261765576807920599027289307
Found probable prime factor of 38 digits: 12901402699261765576807920599027289307
Probable prime cofactor 82113249219631087971835108907787656761898459676810560192192126181525002563369885438637015472373955787331502636480190608662685945053223483630681549482069225324996422019710867075815111189 has 185 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 13, 2022 11:30:16 UTC 2022 年 1 月 13 日 (木) 20 時 30 分 16 秒 (日本時間)

4×10258-2299

c247

composite cofactor 合成数の残り
3136720310400920394633833747159362176270135362603604438851670844944276116434957073387465348816300822166719062494095398723753701687708244262193638644187063837847267662656725940878117596242952964573039242467065504866592684547760402601125010315044849<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 13, 2022 11:30:10 UTC 2022 年 1 月 13 日 (木) 20 時 30 分 10 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 11, 2022 19:09:29 UTC 2022 年 2 月 12 日 (土) 4 時 9 分 29 秒 (日本時間)

4×10259-2299

c256

name 名前Dmitry Domanov
date 日付December 31, 2021 08:59:48 UTC 2021 年 12 月 31 日 (金) 17 時 59 分 48 秒 (日本時間)
composite number 合成数
9201748332183114791810443984357027835288704853922245226593052680009201748332183114791810443984357027835288704853922245226593052680009201748332183114791810443984357027835288704853922245226593052680009201748332183114791810443984357027835288704853922245226593<256>
prime factors 素因数
224719333168671876896294572835445373<36>
composite cofactor 合成数の残り
40947737795556660018996062606738371500978396530178191824339768129340864132611643319825950455212731519185258996855267364145101063458359865921546692311559064205671644935859236078397240734050371236851357671188397529482473141<221>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:976492081
Step 1 took 16744ms
Step 2 took 6778ms
********** Factor found in step 2: 224719333168671876896294572835445373
Found prime factor of 36 digits: 224719333168671876896294572835445373
Composite cofactor 40947737795556660018996062606738371500978396530178191824339768129340864132611643319825950455212731519185258996855267364145101063458359865921546692311559064205671644935859236078397240734050371236851357671188397529482473141 has 221 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 31, 2021 00:14:28 UTC 2021 年 12 月 31 日 (金) 9 時 14 分 28 秒 (日本時間)
4511e62200 / 42131200Dmitry DomanovFebruary 11, 2022 19:15:11 UTC 2022 年 2 月 12 日 (土) 4 時 15 分 11 秒 (日本時間)
1000Dmitry DomanovMarch 5, 2022 15:13:04 UTC 2022 年 3 月 6 日 (日) 0 時 13 分 4 秒 (日本時間)

4×10260-2299

c222

composite cofactor 合成数の残り
218479993319358487403943576613122177111933015515181089616990028335474951181310683405229392061048792846405178749944783267208454877773977157112750406548340799017452690318185549696423347152002655794392635606854499211164155013<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 13, 2022 11:29:52 UTC 2022 年 1 月 13 日 (木) 20 時 29 分 52 秒 (日本時間)
4511e62200 / 42131200Dmitry DomanovFebruary 11, 2022 19:15:32 UTC 2022 年 2 月 12 日 (土) 4 時 15 分 32 秒 (日本時間)
1000Dmitry DomanovMarch 5, 2022 15:13:12 UTC 2022 年 3 月 6 日 (日) 0 時 13 分 12 秒 (日本時間)

4×10261-2299

c239

composite cofactor 合成数の残り
33776617351746021838432502995136585788247829661866384630649146717783089671094733229167517932108217951352533057339938769909602842663411062799762223351317235921755049901770261584822229679012279207909410298051232340404162549673527290534325677<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 13, 2022 11:29:15 UTC 2022 年 1 月 13 日 (木) 20 時 29 分 15 秒 (日本時間)
4511e62200 / 42131200Dmitry DomanovFebruary 11, 2022 19:09:58 UTC 2022 年 2 月 12 日 (土) 4 時 9 分 58 秒 (日本時間)
1000Dmitry DomanovMarch 5, 2022 15:13:24 UTC 2022 年 3 月 6 日 (日) 0 時 13 分 24 秒 (日本時間)

4×10262-2299

c236

name 名前Dmitry Domanov
date 日付January 13, 2022 16:38:55 UTC 2022 年 1 月 14 日 (金) 1 時 38 分 55 秒 (日本時間)
composite number 合成数
24322354083935138047230147702052263559717783029817825704776639941804660427188513785584650037869144766446016379918495804544315683457154902296545408889042465476035109858062292200055082083409536634479374851411503140506336356397396789303109<236>
prime factors 素因数
3745009299031199327171483172948885707<37>
composite cofactor 合成数の残り
6494604456717134244407027600540086818068106032230787573054220996796035069591268626967713631035161841120592531264293392271383874936513316921111921273747693088761709426465563555885858090375034602083887<199>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2760167532
Step 1 took 12007ms
Step 2 took 4864ms
********** Factor found in step 2: 3745009299031199327171483172948885707
Found prime factor of 37 digits: 3745009299031199327171483172948885707
Composite cofactor 6494604456717134244407027600540086818068106032230787573054220996796035069591268626967713631035161841120592531264293392271383874936513316921111921273747693088761709426465563555885858090375034602083887 has 199 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 13, 2022 11:23:09 UTC 2022 年 1 月 13 日 (木) 20 時 23 分 9 秒 (日本時間)
4511e622001200Dmitry DomanovFebruary 7, 2022 08:19:46 UTC 2022 年 2 月 7 日 (月) 17 時 19 分 46 秒 (日本時間)
1000Dmitry DomanovFebruary 19, 2022 20:40:48 UTC 2022 年 2 月 20 日 (日) 5 時 40 分 48 秒 (日本時間)
5043e61000 / 7016Dmitry DomanovFebruary 25, 2022 20:25:11 UTC 2022 年 2 月 26 日 (土) 5 時 25 分 11 秒 (日本時間)

4×10263-2299

c240

composite cofactor 合成数の残り
271775342717911128403712722412671254510462736974430790509574045141607188493406097722474849660974298570202587511474097157647780168988765970848279564273154417582656496681485353872463887259938101898979465095996738826480969384595470507698003081<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 13, 2022 05:27:11 UTC 2022 年 1 月 13 日 (木) 14 時 27 分 11 秒 (日本時間)
4511e62200 / 42131200Dmitry DomanovFebruary 11, 2022 19:15:51 UTC 2022 年 2 月 12 日 (土) 4 時 15 分 51 秒 (日本時間)
1000Dmitry DomanovMarch 5, 2022 15:14:05 UTC 2022 年 3 月 6 日 (日) 0 時 14 分 5 秒 (日本時間)

4×10264-2299

c251

name 名前Dmitry Domanov
date 日付December 31, 2021 09:00:33 UTC 2021 年 12 月 31 日 (金) 18 時 0 分 33 秒 (日本時間)
composite number 合成数
88638474747764384893680296518699947701716166383190313440304577663034875444392268115192534353209388821330303202662335954503449157598138471999034969551278021206698677378519361095157807258629699477523369227784800413414176939900012365994915373879926026589<251>
prime factors 素因数
132573955441892492461175401122796121939431<42>
composite cofactor 合成数の残り
668596440773880791513231036087122540559229116202312738152753776012745014167427567504711398416020633892615127702051583202396407829509602336400071356608015838474863212616503546179952520318703866348144649173755419<210>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2067846076
Step 1 took 37803ms
Step 2 took 15295ms
********** Factor found in step 2: 132573955441892492461175401122796121939431
Found prime factor of 42 digits: 132573955441892492461175401122796121939431
Composite cofactor 668596440773880791513231036087122540559229116202312738152753776012745014167427567504711398416020633892615127702051583202396407829509602336400071356608015838474863212616503546179952520318703866348144649173755419 has 210 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 31, 2021 00:14:39 UTC 2021 年 12 月 31 日 (金) 9 時 14 分 39 秒 (日本時間)
4511e62200 / 42131200Dmitry DomanovFebruary 11, 2022 20:50:32 UTC 2022 年 2 月 12 日 (土) 5 時 50 分 32 秒 (日本時間)
1000Dmitry DomanovMarch 2, 2022 18:17:19 UTC 2022 年 3 月 3 日 (木) 3 時 17 分 19 秒 (日本時間)

4×10265-2299

c193

composite cofactor 合成数の残り
8121292618084223731107313306359320996562815214928214474524316208869456582065307952130275340109887921773630716995006082790869485528933716417433770873100190523549206062268637503361749340522651953<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 12, 2022 22:43:33 UTC 2022 年 1 月 13 日 (木) 7 時 43 分 33 秒 (日本時間)
4511e622001200Dmitry DomanovFebruary 7, 2022 08:19:37 UTC 2022 年 2 月 7 日 (月) 17 時 19 分 37 秒 (日本時間)
1000Dmitry DomanovFebruary 19, 2022 20:40:49 UTC 2022 年 2 月 20 日 (日) 5 時 40 分 49 秒 (日本時間)
5043e61000 / 7016Dmitry DomanovFebruary 25, 2022 20:25:31 UTC 2022 年 2 月 26 日 (土) 5 時 25 分 31 秒 (日本時間)

4×10266-2299

c186

name 名前Dmitry Domanov
date 日付February 26, 2022 08:12:18 UTC 2022 年 2 月 26 日 (土) 17 時 12 分 18 秒 (日本時間)
composite number 合成数
243567467623184754436456632259528707930629870778917820773303303490354705176854216591243164864006928434191822982275452563980294959908959338990375862844889862815666034255062911632102130739<186>
prime factors 素因数
811084292312408658663381584142461271691<39>
composite cofactor 合成数の残り
300298587867817905419581231519558592356702236796594759496007208382460631041460155662076561201797881843308584390532110020179264581121534643792948729<147>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=127787250
Step 1 took 168780ms
Step 2 took 47452ms
********** Factor found in step 2: 811084292312408658663381584142461271691
Found probable prime factor of 39 digits: 811084292312408658663381584142461271691
Composite cofactor 300298587867817905419581231519558592356702236796594759496007208382460631041460155662076561201797881843308584390532110020179264581121534643792948729 has 147 digits

c147

name 名前Dmitry Domanov
date 日付February 26, 2022 17:20:08 UTC 2022 年 2 月 27 日 (日) 2 時 20 分 8 秒 (日本時間)
composite number 合成数
300298587867817905419581231519558592356702236796594759496007208382460631041460155662076561201797881843308584390532110020179264581121534643792948729<147>
prime factors 素因数
281580036253950480450377743241295797355406939<45>
1066476842118826914896422152855012962061329722928349362507370715908371116096105870232531942466107831611<103>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=566582330
Step 1 took 120660ms
Step 2 took 35140ms
********** Factor found in step 2: 281580036253950480450377743241295797355406939
Found probable prime factor of 45 digits: 281580036253950480450377743241295797355406939
Probable prime cofactor 1066476842118826914896422152855012962061329722928349362507370715908371116096105870232531942466107831611 has 103 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 12, 2022 22:43:36 UTC 2022 年 1 月 13 日 (木) 7 時 43 分 36 秒 (日本時間)
4511e622001200Dmitry DomanovFebruary 7, 2022 08:19:30 UTC 2022 年 2 月 7 日 (月) 17 時 19 分 30 秒 (日本時間)
1000Dmitry DomanovFebruary 19, 2022 20:40:58 UTC 2022 年 2 月 20 日 (日) 5 時 40 分 58 秒 (日本時間)
5043e61000 / 7016Dmitry DomanovFebruary 25, 2022 09:24:00 UTC 2022 年 2 月 25 日 (金) 18 時 24 分 0 秒 (日本時間)

4×10267-2299

c202

composite cofactor 合成数の残り
1005139040553788627491209939101206755350684102426157636164677472501299338594681740297989805623951018479311990794150327317970981602116144784952944003355035550987996702300840006627154936750805938364803261<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 12, 2022 22:43:40 UTC 2022 年 1 月 13 日 (木) 7 時 43 分 40 秒 (日本時間)
4511e62200 / 42131200Dmitry DomanovFebruary 11, 2022 20:51:25 UTC 2022 年 2 月 12 日 (土) 5 時 51 分 25 秒 (日本時間)
1000Dmitry DomanovMarch 2, 2022 18:19:05 UTC 2022 年 3 月 3 日 (木) 3 時 19 分 5 秒 (日本時間)

4×10268-2299

c249

composite cofactor 合成数の残り
460537992129212031672429715131966266385630592710521642448583222183044679292068670986496930029813403205972713098245802792045356855261902212103518845604567917521121046838563738261168643311102743402599360895834336016785907982993694399342462616755815927<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 12, 2022 22:42:19 UTC 2022 年 1 月 13 日 (木) 7 時 42 分 19 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 11, 2022 19:16:21 UTC 2022 年 2 月 12 日 (土) 4 時 16 分 21 秒 (日本時間)

4×10271-2299

c228

name 名前Dmitry Domanov
date 日付January 13, 2022 21:41:24 UTC 2022 年 1 月 14 日 (金) 6 時 41 分 24 秒 (日本時間)
composite number 合成数
326056508586670726617158224530121617709532677351534004824703158293103641461438281729761468429678072717931796640512075869720853121366930169206420829304432744608836794429429555247578736175887157667426755297596252042117923348494207<228>
prime factors 素因数
106934780555491385856478835875926788279593<42>
composite cofactor 合成数の残り
3049115609466941168044157155720451593084755490098576791853543718502789530167404563847075830936731008251201345736646952027257927310380620733218983346362808717662139148759983830715317226599<187>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3617212135
Step 1 took 12037ms
Step 2 took 4418ms
********** Factor found in step 2: 106934780555491385856478835875926788279593
Found probable prime factor of 42 digits: 106934780555491385856478835875926788279593
Composite cofactor 3049115609466941168044157155720451593084755490098576791853543718502789530167404563847075830936731008251201345736646952027257927310380620733218983346362808717662139148759983830715317226599 has 187 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 12, 2022 15:16:42 UTC 2022 年 1 月 13 日 (木) 0 時 16 分 42 秒 (日本時間)
4511e622001200Dmitry DomanovFebruary 7, 2022 08:20:23 UTC 2022 年 2 月 7 日 (月) 17 時 20 分 23 秒 (日本時間)
1000Dmitry DomanovFebruary 19, 2022 20:41:19 UTC 2022 年 2 月 20 日 (日) 5 時 41 分 19 秒 (日本時間)
5043e61000 / 7016Dmitry DomanovFebruary 25, 2022 09:24:48 UTC 2022 年 2 月 25 日 (金) 18 時 24 分 48 秒 (日本時間)

4×10272-2299

c205

name 名前Dmitry Domanov
date 日付February 12, 2022 17:23:13 UTC 2022 年 2 月 13 日 (日) 2 時 23 分 13 秒 (日本時間)
composite number 合成数
3580342946521564321210326421199096605153176908336425219453067407501330423629018848449432224241056698318427360705243160935070305589125942250193599285447701985940006402558646340165965946338639160427798652857<205>
prime factors 素因数
32382001276600203285378328033327647217369<41>
110565833036044697392948762980934978139312000635434083765216136318007770948356100843930942575189815720976653255080678564956186839831762524325153731715565287405046753<165>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3537625417
Step 1 took 39066ms
Step 2 took 16768ms
********** Factor found in step 2: 32382001276600203285378328033327647217369
Found prime factor of 41 digits: 32382001276600203285378328033327647217369
Prime cofactor 110565833036044697392948762980934978139312000635434083765216136318007770948356100843930942575189815720976653255080678564956186839831762524325153731715565287405046753 has 165 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 12, 2022 15:16:35 UTC 2022 年 1 月 13 日 (木) 0 時 16 分 35 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 12, 2022 03:15:31 UTC 2022 年 2 月 12 日 (土) 12 時 15 分 31 秒 (日本時間)

4×10273-2299

c159

composite cofactor 合成数の残り
161686783321006096119043959114385178764946940876059501013222510580630556169307604629068344717532697102526689913915699913381398663963443007827246340408113886219<159>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosDecember 31, 2021 12:22:45 UTC 2021 年 12 月 31 日 (金) 21 時 22 分 45 秒 (日本時間)
4511e64480Ignacio SantosJanuary 6, 2022 22:40:36 UTC 2022 年 1 月 7 日 (金) 7 時 40 分 36 秒 (日本時間)
5043e61000Dmitry DomanovFebruary 26, 2022 22:21:36 UTC 2022 年 2 月 27 日 (日) 7 時 21 分 36 秒 (日本時間)
5511e79000 / 17113yoyo@HomeMay 19, 2022 11:29:37 UTC 2022 年 5 月 19 日 (木) 20 時 29 分 37 秒 (日本時間)

4×10274-2299

c273

composite cofactor 合成数の残り
493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160491<273>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 30, 2021 22:49:17 UTC 2021 年 12 月 31 日 (金) 7 時 49 分 17 秒 (日本時間)
4511e654001800Dmitry DomanovFebruary 12, 2022 03:24:38 UTC 2022 年 2 月 12 日 (土) 12 時 24 分 38 秒 (日本時間)
1800Dmitry DomanovFebruary 21, 2022 08:03:29 UTC 2022 年 2 月 21 日 (月) 17 時 3 分 29 秒 (日本時間)
1800Dmitry DomanovFebruary 21, 2022 20:18:01 UTC 2022 年 2 月 22 日 (火) 5 時 18 分 1 秒 (日本時間)

4×10275-2299

c235

composite cofactor 合成数の残り
1350912327889258962556549731475016128194450610793312653243227127611110477569869890944783195860901066106146748271444586312750633875879861401083241476213650500357074042884857677946798212470364841039268338598754721147878765924189852810997<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 12, 2022 15:16:28 UTC 2022 年 1 月 13 日 (木) 0 時 16 分 28 秒 (日本時間)
4511e62200 / 42131200Dmitry DomanovFebruary 11, 2022 19:16:33 UTC 2022 年 2 月 12 日 (土) 4 時 16 分 33 秒 (日本時間)
1000Dmitry DomanovMarch 5, 2022 15:14:05 UTC 2022 年 3 月 6 日 (日) 0 時 14 分 5 秒 (日本時間)

4×10276-2299

c263

name 名前Dmitry Domanov
date 日付February 13, 2022 18:10:13 UTC 2022 年 2 月 14 日 (月) 3 時 10 分 13 秒 (日本時間)
composite number 合成数
18218672338765879922825834850282025915973706378926893842422132100020454916837875293759498568216541794711133092206998469092765469830837641415877906804949720052397449602193321507298846692143822875223864179730760187210661851581369137040285660060756922063006008912327<263>
prime factors 素因数
2944023809899765755668102186614005879148393<43>
composite cofactor 合成数の残り
6188357674792774613468288780938754996860491227217934460458045480652213856158013159092075049664408748356793040717403073399503873375901592988569803952573252380655220660440214101988109541456198097856965063024213818461125039<220>
factorization results 素因数分解の結果
Resuming ECM residue saved by @f9246441debf with GMP-ECM 7.0.5-dev on Sat Feb 12 17:59:18 2022 
Input number is 18218672338765879922825834850282025915973706378926893842422132100020454916837875293759498568216541794711133092206998469092765469830837641415877906804949720052397449602193321507298846692143
822875223864179730760187210661851581369137040285660060756922063006008912327 (263 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2010456215
Step 1 took 0ms
Step 2 took 23550ms
********** Factor found in step 2: 2944023809899765755668102186614005879148393
Found prime factor of 43 digits: 2944023809899765755668102186614005879148393
Composite cofactor 6188357674792774613468288780938754996860491227217934460458045480652213856158013159092075049664408748356793040717403073399503873375901592988569803952573252380655220660440214101988109541456198097856965063024213818461125039 has 220 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 30, 2021 22:37:17 UTC 2021 年 12 月 31 日 (金) 7 時 37 分 17 秒 (日本時間)
4511e63600 / 42131800Dmitry DomanovFebruary 9, 2022 14:54:05 UTC 2022 年 2 月 9 日 (水) 23 時 54 分 5 秒 (日本時間)
1800Dmitry DomanovFebruary 21, 2022 20:20:23 UTC 2022 年 2 月 22 日 (火) 5 時 20 分 23 秒 (日本時間)

4×10278-2299

c269

composite cofactor 合成数の残り
13105326693089316404297054838677427007061160277154661021025339509524808936491186182688848231650701880060133258144443919585939381237139439650620946542500881900271214608136548145366092607990144674806217393089403007572174446152555703073797967261680432937741016813501127191<269>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 30, 2021 22:37:22 UTC 2021 年 12 月 31 日 (金) 7 時 37 分 22 秒 (日本時間)
4511e63600 / 42131800Dmitry DomanovFebruary 9, 2022 14:53:01 UTC 2022 年 2 月 9 日 (水) 23 時 53 分 1 秒 (日本時間)
1800Dmitry DomanovFebruary 21, 2022 08:03:28 UTC 2022 年 2 月 21 日 (月) 17 時 3 分 28 秒 (日本時間)

4×10279-2299

c258

composite cofactor 合成数の残り
860257539521067255444247823007513095797352511010100287401455043026182663655306666267365854510836844335050030838022246772721980291720198397443580414406430231811995428358958787523593409359081463404240957334482852167135828457275861619924497593155044598668266117<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 30, 2021 22:37:28 UTC 2021 年 12 月 31 日 (金) 7 時 37 分 28 秒 (日本時間)
4511e63600 / 42131800Dmitry DomanovFebruary 9, 2022 14:52:49 UTC 2022 年 2 月 9 日 (水) 23 時 52 分 49 秒 (日本時間)
1800Dmitry DomanovFebruary 21, 2022 08:03:29 UTC 2022 年 2 月 21 日 (月) 17 時 3 分 29 秒 (日本時間)

4×10280-2299

c255

composite cofactor 合成数の残り
133560069877549031790958065126834595211178837838628645610241075522838236370382307737675443099609269943241097657430747331820670440063531904138367173335081180042075615108013952488578999318171225665475729212435300863003559834050263385859200417566226677547653<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 30, 2021 22:37:34 UTC 2021 年 12 月 31 日 (金) 7 時 37 分 34 秒 (日本時間)
4511e63600 / 42131800Dmitry DomanovFebruary 9, 2022 14:52:38 UTC 2022 年 2 月 9 日 (水) 23 時 52 分 38 秒 (日本時間)
1800Dmitry DomanovFebruary 21, 2022 08:03:28 UTC 2022 年 2 月 21 日 (月) 17 時 3 分 28 秒 (日本時間)

4×10283-2299

c214

composite cofactor 合成数の残り
1342061905096440512771529778047116506031934301753221626234528479257609773633630453893269171167128607187431194474928619276578253815945216092200011953530808111048195137030303882862368259191215677696947974710663381591<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 12, 2022 15:16:22 UTC 2022 年 1 月 13 日 (木) 0 時 16 分 22 秒 (日本時間)
4511e62200 / 42131200Dmitry DomanovFebruary 12, 2022 03:16:03 UTC 2022 年 2 月 12 日 (土) 12 時 16 分 3 秒 (日本時間)
1000Dmitry DomanovMarch 4, 2022 18:21:26 UTC 2022 年 3 月 5 日 (土) 3 時 21 分 26 秒 (日本時間)

4×10284-2299

c268

composite cofactor 合成数の残り
2236517066431141853024821560195962665455509359636422312401527006839327207682694315328450940032814773997893594689465382789063973644864899785156040278347873894562241092023374476043850546285952457608402225018337225197847918378676871297169710138310960337962781382062611341<268>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 30, 2021 22:37:40 UTC 2021 年 12 月 31 日 (金) 7 時 37 分 40 秒 (日本時間)
4511e63600 / 42131800Dmitry DomanovFebruary 9, 2022 14:52:28 UTC 2022 年 2 月 9 日 (水) 23 時 52 分 28 秒 (日本時間)
1800Dmitry DomanovFebruary 21, 2022 08:03:29 UTC 2022 年 2 月 21 日 (月) 17 時 3 分 29 秒 (日本時間)

4×10285-2299

c252

composite cofactor 合成数の残り
556015233778700450202481292272046264695972423875138938578942478150217088054986224427912714436716807781676466540157100258547133806944352425059861345333556499142390625849763479414662060156238814902861167180862236120492477227519197827104323679213288632999<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 30, 2021 22:37:46 UTC 2021 年 12 月 31 日 (金) 7 時 37 分 46 秒 (日本時間)
4511e63600 / 42131800Dmitry DomanovFebruary 9, 2022 14:52:18 UTC 2022 年 2 月 9 日 (水) 23 時 52 分 18 秒 (日本時間)
1800Dmitry DomanovFebruary 21, 2022 08:03:29 UTC 2022 年 2 月 21 日 (月) 17 時 3 分 29 秒 (日本時間)

4×10287-2299

c202

composite cofactor 合成数の残り
4894195715315311824557604863984669838292620525529253062250824357483796729466199662776326371580827624286668164094056288272129167690758127086883025206002733936784880647569435552118377267097684686089245591<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 12, 2022 15:16:14 UTC 2022 年 1 月 13 日 (木) 0 時 16 分 14 秒 (日本時間)
4511e62200 / 42131200Dmitry DomanovFebruary 12, 2022 03:18:18 UTC 2022 年 2 月 12 日 (土) 12 時 18 分 18 秒 (日本時間)
1000Dmitry DomanovMarch 2, 2022 18:17:55 UTC 2022 年 3 月 3 日 (木) 3 時 17 分 55 秒 (日本時間)

4×10288-2299

c242

composite cofactor 合成数の残り
42739193787661592409936393159191516866724007445231799799779090298210304796748515025590075790582135465351359065059513544750551663247483871796124706688375204631965655786167624079791546546283840669721913402371911880874756315886602913950972274051<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 12, 2022 15:16:07 UTC 2022 年 1 月 13 日 (木) 0 時 16 分 7 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 12, 2022 03:18:48 UTC 2022 年 2 月 12 日 (土) 12 時 18 分 48 秒 (日本時間)

4×10289-2299

c273

composite cofactor 合成数の残り
808266327102805664621490736092216427363374524919917722454600557404110341034899687804696744907174698002522779468862015251214684477639729218391783303697777574402958035511355476504705408655683415406701508119589867692242263847809631676891965983646409396711254651912992101479749<273>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 30, 2021 22:37:52 UTC 2021 年 12 月 31 日 (金) 7 時 37 分 52 秒 (日本時間)
4511e63600 / 42131800Dmitry DomanovFebruary 9, 2022 14:52:03 UTC 2022 年 2 月 9 日 (水) 23 時 52 分 3 秒 (日本時間)
1800Dmitry DomanovFebruary 21, 2022 08:02:31 UTC 2022 年 2 月 21 日 (月) 17 時 2 分 31 秒 (日本時間)

4×10295-2299

c286

composite cofactor 合成数の残り
1329752795346063642000898792613513599970536188602510943301274965128497038300556840276106268125334062138660444863440773889539814018890448064931330605400591934250866106450397541664013132497121140299707229367580219526235461978533587930768879024299952747078171424175319020126298870662137199<286>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 30, 2021 22:35:40 UTC 2021 年 12 月 31 日 (金) 7 時 35 分 40 秒 (日本時間)
4511e63600 / 42131800Dmitry DomanovFebruary 9, 2022 14:51:53 UTC 2022 年 2 月 9 日 (水) 23 時 51 分 53 秒 (日本時間)
1800Dmitry DomanovFebruary 21, 2022 08:02:22 UTC 2022 年 2 月 21 日 (月) 17 時 2 分 22 秒 (日本時間)

4×10296-2299

c276

name 名前Dmitry Domanov
date 日付January 1, 2022 23:54:23 UTC 2022 年 1 月 2 日 (日) 8 時 54 分 23 秒 (日本時間)
composite number 合成数
133414920353259472784741772487883505759881481068672580080050713162222958976091388961987617075090036066519689838458705256920569022806457220631669646821369386803633995559209803518328055858257868854941600995329393772530809743198114319800174501210333423097617315923561343451412777<276>
prime factors 素因数
3376236226525774276172384273037179867<37>
composite cofactor 合成数の残り
39515872528429840829741268391208775056913142092350696707131697192254072177511988818442692035747093260089357019596887873130047266885451573216732748156262203509718979210246295177393929076514380610887599408053027599692104122334403637134790731<239>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2804806194
Step 1 took 12780ms
Step 2 took 5119ms
********** Factor found in step 2: 3376236226525774276172384273037179867
Found prime factor of 37 digits: 3376236226525774276172384273037179867
Composite cofactor 39515872528429840829741268391208775056913142092350696707131697192254072177511988818442692035747093260089357019596887873130047266885451573216732748156262203509718979210246295177393929076514380610887599408053027599692104122334403637134790731 has 239 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 30, 2021 22:35:47 UTC 2021 年 12 月 31 日 (金) 7 時 35 分 47 秒 (日本時間)
4511e62200 / 42131200Dmitry DomanovFebruary 12, 2022 03:22:18 UTC 2022 年 2 月 12 日 (土) 12 時 22 分 18 秒 (日本時間)
1000Dmitry DomanovMarch 5, 2022 15:14:35 UTC 2022 年 3 月 6 日 (日) 0 時 14 分 35 秒 (日本時間)

4×10297-2299

c250

name 名前Dmitry Domanov
date 日付February 17, 2022 17:11:44 UTC 2022 年 2 月 18 日 (金) 2 時 11 分 44 秒 (日本時間)
composite number 合成数
8049406848960556751315997457963478488315956101932636779535451327273529706258505143663506719091248232792940206992431335777134130826686128767124905181486866472790435891515539642288754208473536988154081392128782204767156865863195967346426016959337828189<250>
prime factors 素因数
81154157908983886923938308726490493461531<41>
composite cofactor 合成数の残り
99186622797418927413165409779967865892117859861707604407513509661532140017389175335110603211497218620483164486945420993086657452946493773393598436761715352502321428648904237205604071413063085610689521773126119<209>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2361982968
Step 1 took 89858ms
Step 2 took 33761ms
********** Factor found in step 2: 81154157908983886923938308726490493461531
Found prime factor of 41 digits: 81154157908983886923938308726490493461531
Composite cofactor 99186622797418927413165409779967865892117859861707604407513509661532140017389175335110603211497218620483164486945420993086657452946493773393598436761715352502321428648904237205604071413063085610689521773126119 has 209 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 30, 2021 14:07:44 UTC 2021 年 12 月 30 日 (木) 23 時 7 分 44 秒 (日本時間)
4511e62200 / 42131200Dmitry DomanovFebruary 16, 2022 14:59:42 UTC 2022 年 2 月 16 日 (水) 23 時 59 分 42 秒 (日本時間)
1000Dmitry DomanovMarch 2, 2022 18:17:47 UTC 2022 年 3 月 3 日 (木) 3 時 17 分 47 秒 (日本時間)

4×10298-2299

c281

composite cofactor 合成数の残り
22720861432932637524166310798404135335083729231818508397081152754674002608692068190573836670863642602933840046418242930971465466072936931397422900152176238340677745431660668719257749560941247712684735588652696592777338803998765538066370275452310972913106618433326039805972636062051<281>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 30, 2021 22:35:35 UTC 2021 年 12 月 31 日 (金) 7 時 35 分 35 秒 (日本時間)
4511e63600 / 42131800Dmitry DomanovFebruary 9, 2022 14:51:42 UTC 2022 年 2 月 9 日 (水) 23 時 51 分 42 秒 (日本時間)
1800Dmitry DomanovFebruary 21, 2022 08:02:14 UTC 2022 年 2 月 21 日 (月) 17 時 2 分 14 秒 (日本時間)

4×10299-2299

c267

composite cofactor 合成数の残り
590906193613555640489119384204417697913009144806999204871445349993920034617456360367105619540029232522230367621701494035680647513940267712471306355544817733310308773908202585765676448842213842983741421530431605825900296804678186570934181375619137587872724068508191957<267>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 30, 2021 18:41:13 UTC 2021 年 12 月 31 日 (金) 3 時 41 分 13 秒 (日本時間)
4511e63600 / 42131800Dmitry DomanovFebruary 9, 2022 14:51:34 UTC 2022 年 2 月 9 日 (水) 23 時 51 分 34 秒 (日本時間)
1800Dmitry DomanovFebruary 21, 2022 08:02:05 UTC 2022 年 2 月 21 日 (月) 17 時 2 分 5 秒 (日本時間)

4×10300-2299

c236

name 名前Dmitry Domanov
date 日付December 31, 2021 17:33:37 UTC 2022 年 1 月 1 日 (土) 2 時 33 分 37 秒 (日本時間)
composite number 合成数
55865438465289778193290663776654701820967386928560668639136782308670266022500495843855739250949566398549350050913003388590173955925287533568882493826500485393415763715511052975415863395038985522958573989341991259291208108042169440378981<236>
prime factors 素因数
405962360858477265950815020532277071503323<42>
composite cofactor 合成数の残り
137612359794027938443046042853397548083027824699611387505195546401693485125097336163660323176464433497963182253782921554174709257222381374690251658788577928378269119649054284531448327329103123647<195>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3262956593
Step 1 took 35943ms
Step 2 took 13510ms
********** Factor found in step 2: 405962360858477265950815020532277071503323
Found prime factor of 42 digits: 405962360858477265950815020532277071503323
Composite cofactor 137612359794027938443046042853397548083027824699611387505195546401693485125097336163660323176464433497963182253782921554174709257222381374690251658788577928378269119649054284531448327329103123647 has 195 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 29, 2021 00:20:11 UTC 2021 年 12 月 29 日 (水) 9 時 20 分 11 秒 (日本時間)
4511e61800Dmitry DomanovDecember 31, 2021 09:24:50 UTC 2021 年 12 月 31 日 (金) 18 時 24 分 50 秒 (日本時間)
5043e6800 / 7106Dmitry DomanovJanuary 3, 2022 13:18:16 UTC 2022 年 1 月 3 日 (月) 22 時 18 分 16 秒 (日本時間)