Table of contents 目次

10133-763

c88

name 名前Ignacio Santos
date 日付December 28, 2021 19:51:48 UTC 2021 年 12 月 29 日 (水) 4 時 51 分 48 秒 (日本時間)
composite number 合成数
1294435010604119423892661473687186439663580131300338973450580423380957850108438612871503<88>
prime factors 素因数
119685362437896467101330738834686237172547<42>
10815315960427397748413613292596532665571046149<47>
factorization results 素因数分解の結果
prp42 = 119685362437896467101330738834686237172547
prp47 = 10815315960427397748413613292596532665571046149
software ソフトウェア
Yafu

ECM

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

10141-763

c108

name 名前Ignacio Santos
date 日付December 29, 2021 12:11:03 UTC 2021 年 12 月 29 日 (水) 21 時 11 分 3 秒 (日本時間)
composite number 合成数
161182450732511661796019182896074841568403055224160508833506070514405873066577331582541254389445886719849397<108>
prime factors 素因数
1539292572500805386079227783722964777671556114590769<52>
104712030456073241517809107592647406042871469137191932613<57>
factorization results 素因数分解の結果
N=161182450732511661796019182896074841568403055224160508833506070514405873066577331582541254389445886719849397
  ( 108 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=1539292572500805386079227783722964777671556114590769 (pp52)
 r2=104712030456073241517809107592647406042871469137191932613 (pp57)
Version: Msieve v. 1.52 (SVN 927)
Total time: 5.24 hours.
Scaled time: 40.68 units (timescale=7.770).
Factorization parameters were as follows:
n: 161182450732511661796019182896074841568403055224160508833506070514405873066577331582541254389445886719849397
m: 100000000000000000000000000000000000
deg: 4
c4: 5
c0: -38
skew: 1.66
# Murphy_E = 4.928e-09
type: snfs
lss: 1
rlim: 1550000
alim: 1550000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1550000/1550000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [775000, 1275001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 171655 x 171880
Total sieving time: 5.20 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,140.000,4,0,0,0,0,0,0,0,0,1550000,1550000,26,26,48,48,2.3,2.3,100000
total time: 5.24 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)

10143-763

c72

name 名前Ignacio Santos
date 日付December 28, 2021 19:48:22 UTC 2021 年 12 月 29 日 (水) 4 時 48 分 22 秒 (日本時間)
composite number 合成数
973849714905847926771599893231762111549920602276519464070583257051683741<72>
prime factors 素因数
337202102623493699052875650961700721<36>
2888029781929353320168797702944016621<37>
factorization results 素因数分解の結果
prp36 = 337202102623493699052875650961700721
prp37 = 2888029781929353320168797702944016621
software ソフトウェア
Yafu

ECM

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

10148-763

c133

name 名前Ignacio Santos
date 日付December 29, 2021 19:14:59 UTC 2021 年 12 月 30 日 (木) 4 時 14 分 59 秒 (日本時間)
composite number 合成数
6936161014537332663245631239117870437132730102617719498772788043172324645768580332751239397611737326948702088637928937602659862160991<133>
prime factors 素因数
244448591254580807895536097267240210511922980139<48>
28374722795246845215891651863752929841487596542195609708529903807998997106942216032669<86>
factorization results 素因数分解の結果
N=6936161014537332663245631239117870437132730102617719498772788043172324645768580332751239397611737326948702088637928937602659862160991
  ( 133 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=244448591254580807895536097267240210511922980139 (pp48)
 r2=28374722795246845215891651863752929841487596542195609708529903807998997106942216032669 (pp86)
Version: Msieve v. 1.52 (SVN 927)
Total time: 4.57 hours.
Scaled time: 35.69 units (timescale=7.806).
Factorization parameters were as follows:
n: 6936161014537332663245631239117870437132730102617719498772788043172324645768580332751239397611737326948702088637928937602659862160991
m: 100000000000000000000000000000
deg: 5
c5: 250
c0: -19
skew: 0.60
# Murphy_E = 2.104e-09
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1000000, 2000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 311757 x 311982
Total sieving time: 4.51 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,147.000,5,0,0,0,0,0,0,0,0,2000000,2000000,26,26,49,49,2.3,2.3,100000
total time: 4.57 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)

10150-763

c136

name 名前Ignacio Santos
date 日付December 30, 2021 09:40:54 UTC 2021 年 12 月 30 日 (木) 18 時 40 分 54 秒 (日本時間)
composite number 合成数
2462060151199709624363087354243224158002593528613770496832948985227566011164978734091931911597696218435597041741345578904541054602589749<136>
prime factors 素因数
101683144148672691455858174965273363<36>
24213060795994749212693740686622935837884391160871571760664378545429721297611250123416235978751324823<101>
factorization results 素因数分解の結果
N=2462060151199709624363087354243224158002593528613770496832948985227566011164978734091931911597696218435597041741345578904541054602589749
  ( 136 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=101683144148672691455858174965273363 (pp36)
 r2=24213060795994749212693740686622935837884391160871571760664378545429721297611250123416235978751324823 (pp101)
Version: Msieve v. 1.52 (SVN 927)
Total time: 5.54 hours.
Scaled time: 43.61 units (timescale=7.868).
Factorization parameters were as follows:
n: 2462060151199709624363087354243224158002593528613770496832948985227566011164978734091931911597696218435597041741345578904541054602589749
m: 1000000000000000000000000000000
deg: 5
c5: 1
c0: -76
skew: 2.38
# Murphy_E = 2.146e-09
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1100000, 1500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 375276 x 375505
Total sieving time: 5.47 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,150.000,5,0,0,0,0,0,0,0,0,2200000,2200000,27,27,49,49,2.4,2.4,100000
total time: 5.54 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)

10152-763

c129

name 名前Ignacio Santos
date 日付December 30, 2021 19:46:31 UTC 2021 年 12 月 31 日 (金) 4 時 46 分 31 秒 (日本時間)
composite number 合成数
834205316205940398382427882448716843960047649490690151925560442563948665792856638412479435325736972526206221547791093298701105669<129>
prime factors 素因数
993147766338364139780149846670479031<36>
839960924728826045244932326145163836034850314500798189625969022928517899620043520307357073699<93>
factorization results 素因数分解の結果
N=834205316205940398382427882448716843960047649490690151925560442563948665792856638412479435325736972526206221547791093298701105669
  ( 129 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=993147766338364139780149846670479031 (pp36)
 r2=839960924728826045244932326145163836034850314500798189625969022928517899620043520307357073699 (pp93)
Version: Msieve v. 1.52 (SVN 927)
Total time: 6.83 hours.
Scaled time: 53.75 units (timescale=7.868).
Factorization parameters were as follows:
n: 834205316205940398382427882448716843960047649490690151925560442563948665792856638412479435325736972526206221547791093298701105669
m: 1000000000000000000000000000000
deg: 5
c5: 25
c0: -19
skew: 0.95
# Murphy_E = 1.833e-09
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1150000, 1650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 307430 x 307655
Total sieving time: 6.77 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,151.000,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 6.83 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)

10153-763

c115

name 名前Ignacio Santos
date 日付December 30, 2021 23:01:01 UTC 2021 年 12 月 31 日 (金) 8 時 1 分 1 秒 (日本時間)
composite number 合成数
3226574616368990348374175334949746228269032553002011889289462674525018527703646572348548390183809277475240004365823<115>
prime factors 素因数
576095189244642235458902191372537<33>
5600766464652434929773994608975894369169566665292900379472151506246660853965444279<82>
factorization results 素因数分解の結果
N=3226574616368990348374175334949746228269032553002011889289462674525018527703646572348548390183809277475240004365823
  ( 115 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=576095189244642235458902191372537 (pp33)
 r2=5600766464652434929773994608975894369169566665292900379472151506246660853965444279 (pp82)
Version: Msieve v. 1.52 (SVN 927)
Total time: 8.28 hours.
Scaled time: 64.81 units (timescale=7.825).
Factorization parameters were as follows:
n: 3226574616368990348374175334949746228269032553002011889289462674525018527703646572348548390183809277475240004365823
m: 1000000000000000000000000000000
deg: 5
c5: 250
c0: -19
skew: 0.60
# Murphy_E = 1.361e-09
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1200000, 1800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 323494 x 323723
Total sieving time: 8.23 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,152.000,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,50,50,2.4,2.4,100000
total time: 8.28 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)

10154-763

c116

name 名前Ignacio Santos
date 日付January 1, 2022 11:38:43 UTC 2022 年 1 月 1 日 (土) 20 時 38 分 43 秒 (日本時間)
composite number 合成数
52861624184092001944335137391920177354333938111661090154101679491966575162338855482163442086785051363767019394512909<116>
prime factors 素因数
9955752361874023268737042877508944173310813784923369<52>
5309656393878160134671032347312114761442191576135549331457014661<64>
factorization results 素因数分解の結果
N=52861624184092001944335137391920177354333938111661090154101679491966575162338855482163442086785051363767019394512909
  ( 116 digits)
SNFS difficulty: 154 digits.
Divisors found:
 r1=9955752361874023268737042877508944173310813784923369 (pp52)
 r2=5309656393878160134671032347312114761442191576135549331457014661 (pp64)
Version: Msieve v. 1.52 (SVN 927)
Total time: 10.30 hours.
Scaled time: 80.39 units (timescale=7.806).
Factorization parameters were as follows:
n: 52861624184092001944335137391920177354333938111661090154101679491966575162338855482163442086785051363767019394512909
m: 5000000000000000000000000000000
deg: 5
c5: 4
c0: -95
skew: 1.88
# Murphy_E = 1.154e-09
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1300000, 2100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 405398 x 405623
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,154.000,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 10.30 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)

10156-763

c152

name 名前Ignacio Santos
date 日付January 2, 2022 14:30:55 UTC 2022 年 1 月 2 日 (日) 23 時 30 分 55 秒 (日本時間)
composite number 合成数
40006401024163866218594975196031365018402944471115378460553688590174427908465354456713074091854696751480236837894063050088014082253160505680908945431269<152>
prime factors 素因数
1200894120048931062195414857390402956261956060614075236583161717<64>
33313845372591036067942684045231075477601009877508071835996670225440644337167150052110257<89>
factorization results 素因数分解の結果
N=40006401024163866218594975196031365018402944471115378460553688590174427908465354456713074091854696751480236837894063050088014082253160505680908945431269
  ( 152 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=1200894120048931062195414857390402956261956060614075236583161717 (pp64)
 r2=33313845372591036067942684045231075477601009877508071835996670225440644337167150052110257 (pp89)
Version: Msieve v. 1.52 (SVN 927)
Total time: 9.63 hours.
Scaled time: 75.05 units (timescale=7.794).
Factorization parameters were as follows:
n: 40006401024163866218594975196031365018402944471115378460553688590174427908465354456713074091854696751480236837894063050088014082253160505680908945431269
m: 10000000000000000000000000000000
deg: 5
c5: 5
c0: -38
skew: 1.50
# Murphy_E = 1.215e-09
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1400000, 2100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 378216 x 378442
Total sieving time: 9.54 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,155.000,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 9.63 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)

10159-763

c148

name 名前Ignacio Santos
date 日付January 3, 2022 11:54:49 UTC 2022 年 1 月 3 日 (月) 20 時 54 分 49 秒 (日本時間)
composite number 合成数
7795186694740515194607972528320788895313711904082574508943532330891325936790178786586442585114916151001199172451643166818076335118598558219861118127<148>
prime factors 素因数
4635931181765124185943472575434252030929754184359<49>
1681471615756925230641144756303656333472048461938137192592949274266878723077336426471189060973536953<100>
factorization results 素因数分解の結果
N=7795186694740515194607972528320788895313711904082574508943532330891325936790178786586442585114916151001199172451643166818076335118598558219861118127
  ( 148 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=4635931181765124185943472575434252030929754184359 (pp49)
 r2=1681471615756925230641144756303656333472048461938137192592949274266878723077336426471189060973536953 (pp100)
Version: Msieve v. 1.52 (SVN 927)
Total time: 13.51 hours.
Scaled time: 106.33 units (timescale=7.868).
Factorization parameters were as follows:
n: 7795186694740515194607972528320788895313711904082574508943532330891325936790178786586442585114916151001199172451643166818076335118598558219861118127
m: 50000000000000000000000000000000
deg: 5
c5: 4
c0: -95
skew: 1.88
# Murphy_E = 7.41e-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, 2650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 497721 x 497951
Total sieving time: 13.42 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,159.000,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000
total time: 13.51 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)

10162-763

c144

name 名前Ignacio Santos
date 日付January 3, 2022 21:51:33 UTC 2022 年 1 月 4 日 (火) 6 時 51 分 33 秒 (日本時間)
composite number 合成数
787021966333679277510302342349537410856087141092764290806780803564265167414869737775443582084324873319335686422904909557149494122982741283122751<144>
prime factors 素因数
20474460657613148296761823954489793927<38>
38439203820542931782432829320622883527438161166164200809890511751926485362272406702491648292694166367967113<107>
factorization results 素因数分解の結果
N=787021966333679277510302342349537410856087141092764290806780803564265167414869737775443582084324873319335686422904909557149494122982741283122751
  ( 144 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=20474460657613148296761823954489793927 (pp38)
 r2=38439203820542931782432829320622883527438161166164200809890511751926485362272406702491648292694166367967113 (pp107)
Version: Msieve v. 1.52 (SVN 927)
Total time: 13.83 hours.
Scaled time: 108.50 units (timescale=7.843).
Factorization parameters were as follows:
n: 787021966333679277510302342349537410856087141092764290806780803564265167414869737775443582084324873319335686422904909557149494122982741283122751
m: 100000000000000000000000000000000
deg: 5
c5: 25
c0: -19
skew: 0.95
# Murphy_E = 7.56e-10
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1700000, 2700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 500847 x 501072
Total sieving time: 13.72 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,161.000,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 13.83 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)

10164-763

c122

name 名前Bob Backstrom
date 日付January 3, 2022 03:36:30 UTC 2022 年 1 月 3 日 (月) 12 時 36 分 30 秒 (日本時間)
composite number 合成数
11678348695132067023672900148852464188730824194671378991971054100207831625600994353933511565787565190936730265349241196189<122>
prime factors 素因数
261702636546565512010490781882515103941563648227487963<54>
44624497671249500160844629558910729421100457779869093998137268272103<68>
factorization results 素因数分解の結果
CADO

STA:Mon 03 Jan 2022 12:32:03 AEDT (11,678,348,695,132,067,023,672,900,148,852,464,188,730,824,194,671,378,991,971,054,100,207,831,625,600,994,353,933,511,565,787,565,190,936,730,265,349,241,196,189 - C122)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 11678348695132067023672900148852464188730824194671378991971054100207831625600994353933511565787565190936730265349241196189 2>&1 | tee -a log154

Debug:root: Looking for parameter file for c122 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.bmjgklrz
Info:Database: Opened connection to database /tmp/cado.bmjgklrz/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 1167834869513206702367290014885246418873082419467137899197105410020783162560099435393
3511565787565190936730265349241196189
Debug:root: Root parameter dictionary:
N = 11678348695132067023672900148852464188730824194671378991971054100207831625600994353933511565787565190936730265349241196189
lim0 = 5667620
lim1 = 18220697
lpb0 = 26
lpb1 = 27
name = c120
...
n: 11678348695132067023672900148852464188730824194671378991971054100207831625600994353933511565787565190936730265349241196189
skew: 39338.454
c0: 861255978453115864419066240
c1: 172140071143095656285401
c2: 1224465939630165696
c3: -124814639967625
c4: 3388336968
c5: -6480
Y0: -464600321402043604379396
Y1: 838172676674993
# MurphyE (Bf=1.82e+07,Bg=5.67e+06,area=2.45e+15) = 1.52e-09
# f(x) = -6480*x^5+3388336968*x^4-124814639967625*x^3+1224465939630165696*x^2+172140071143095656285401*x+861255978453115864419066240
# g(x) = 838172676674993*x-464600321402043604379396
...
Info:Square Root: finished
Info:Square Root: Factors: 44624497671249500160844629558910729421100457779869093998137268272103 261702636546565512010490781882515103941563648227487963
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): 10505/35.490/43.316/49.680/1.071
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 10505/34.550/38.548/43.800/1.173
Info:Polynomial Selection (size optimized): Total time: 1141.08
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 423.4
Info:Polynomial Selection (root optimized): Rootsieve time: 422.57
Info:Generate Factor Base: Total cpu/real time for makefb: 23.71/2.22404
Info:Generate Free Relations: Total cpu/real time for freerel: 149.06/9.7372
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 10422593
Info:Lattice Sieving: Average J: 7971.12 for 24458 special-q, max bucket fill: 0.683648
Info:Lattice Sieving: Total CPU time: 72406.9s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 26.57/35.2286
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 34.699999999999996s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 206.67/99.1396
Info:Filtering - Singleton removal: Total cpu/real time for purge: 141.11/75.9794
Info:Filtering - Merging: Total cpu/real time for merge: 472.51/383.478
Info:Filtering - Merging: Total cpu/real time for replay: 36.81/28.7079
Info:Linear Algebra: Total cpu/real time for bwc: 21639.4/0.0004282
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 900.87
Info:Linear Algebra: Lingen CPU time 221.11, WCT time 21.84
Info:Linear Algebra: Mksol: WCT time 504.51
Info:Quadratic Characters: Total cpu/real time for characters: 36.74/8.64682
Info:Square Root: Total cpu/real time for sqrt: 876.89/124.856
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 97580.8/6999.12
Info:root: Cleaning up computation data in /tmp/cado.bmjgklrz
44624497671249500160844629558910729421100457779869093998137268272103 261702636546565512010490781882515103941563648227487963

END:Mon 03 Jan 2022 14:28:43 AEDT (11,678,348,695,132,067,023,672,900,148,852,464,188,730,824,194,671,378,991,971,054,100,207,831,625,600,994,353,933,511,565,787,565,190,936,730,265,349,241,196,189 - C122)

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)

10166-763

c153

name 名前Ignacio Santos
date 日付January 4, 2022 22:39:53 UTC 2022 年 1 月 5 日 (水) 7 時 39 分 53 秒 (日本時間)
composite number 合成数
125348577769412553592156094883752775948386342417138890123931382422620064972199478288137296055903071795267722962224282695334326818469628406174423193348121<153>
prime factors 素因数
1374523741099209669999945373427704057981754817857615036940071902723<67>
91194188955347558598468326118092863045924246388922936394674856144923596223341185410227<86>
factorization results 素因数分解の結果
N=125348577769412553592156094883752775948386342417138890123931382422620064972199478288137296055903071795267722962224282695334326818469628406174423193348121
  ( 153 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=1374523741099209669999945373427704057981754817857615036940071902723 (pp67)
 r2=91194188955347558598468326118092863045924246388922936394674856144923596223341185410227 (pp86)
Version: Msieve v. 1.52 (SVN 927)
Total time: 18.70 hours.
Scaled time: 147.47 units (timescale=7.886).
Factorization parameters were as follows:
n: 125348577769412553592156094883752775948386342417138890123931382422620064972199478288137296055903071795267722962224282695334326818469628406174423193348121
m: 1000000000000000000000000000000000
deg: 5
c5: 5
c0: -38
skew: 1.50
# Murphy_E = 4.969e-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, 3400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 596563 x 596788
Total sieving time: 18.56 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,165.000,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,51,51,2.4,2.4,100000
total time: 18.70 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)

10168-763

c155

name 名前Bob Backstrom
date 日付January 6, 2022 15:01:01 UTC 2022 年 1 月 7 日 (金) 0 時 1 分 1 秒 (日本時間)
composite number 合成数
33429757910867882194735407566001775205917000427743057040933400361026564902451374165804633763535469419295174694524183172727761547344605739761003574156171481<155>
prime factors 素因数
673359466574723930599427682809358409570061497679959984489986029<63>
49646228456428956828267711689076010937032614897511178104438287502918441225630599269860028189<92>
factorization results 素因数分解の結果
Number: n
N=33429757910867882194735407566001775205917000427743057040933400361026564902451374165804633763535469419295174694524183172727761547344605739761003574156171481  ( 155 digits)
SNFS difficulty: 167 digits.
Divisors found:

Fri Jan  7 01:56:32 2022  p63 factor: 673359466574723930599427682809358409570061497679959984489986029
Fri Jan  7 01:56:32 2022  p92 factor: 49646228456428956828267711689076010937032614897511178104438287502918441225630599269860028189
Fri Jan  7 01:56:32 2022  elapsed time 00:10:23 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.293).
Factorization parameters were as follows:
#
# N = 10^168-76 = 6(166)16
#
n: 33429757910867882194735407566001775205917000427743057040933400361026564902451374165804633763535469419295174694524183172727761547344605739761003574156171481
m: 1000000000000000000000000000000000
deg: 5
c5: 250
c0: -19
skew: 0.60
# Murphy_E = 3.574e-10
type: snfs
lss: 1
rlim: 4300000
alim: 4300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4300000/4300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 14950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2726829 hash collisions in 21168871 relations (19218536 unique)
Msieve: matrix is 770883 x 771122 (106.4 MB)

Sieving start time : 2022/01/07 00:41:17
Sieving end time  : 2022/01/07 01:45:47

Total sieving time: 1hrs 4min 30secs.

Total relation processing time: 0hrs 4min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 27sec.

Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,4300000,4300000,27,27,51,51,2.4,2.4,100000
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 5, 2022 09:14:08 UTC 2022 年 1 月 5 日 (水) 18 時 14 分 8 秒 (日本時間)

10169-763

c131

name 名前Bob Backstrom
date 日付January 7, 2022 11:16:05 UTC 2022 年 1 月 7 日 (金) 20 時 16 分 5 秒 (日本時間)
composite number 合成数
94856263962085522680892224300839046109459025098095582024931538542037377756698557058444096407142818154887630570698096757572937840909<131>
prime factors 素因数
13963767992678196482218651491291893297287003779027638146609<59>
6793027785324329179335143694842017021690122388186947615239254265312652701<73>
factorization results 素因数分解の結果
Number: n
N=94856263962085522680892224300839046109459025098095582024931538542037377756698557058444096407142818154887630570698096757572937840909  ( 131 digits)
SNFS difficulty: 169 digits.
Divisors found:

Fri Jan  7 22:10:05 2022  p59 factor: 13963767992678196482218651491291893297287003779027638146609
Fri Jan  7 22:10:05 2022  p73 factor: 6793027785324329179335143694842017021690122388186947615239254265312652701
Fri Jan  7 22:10:05 2022  elapsed time 00:09:55 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.293).
Factorization parameters were as follows:
#
10^169-76 = 6(167)16
#
n: 94856263962085522680892224300839046109459025098095582024931538542037377756698557058444096407142818154887630570698096757572937840909
m: 5000000000000000000000000000000000
deg: 5
c5: 4
c0: -95
skew: 1.88
# Murphy_E = 3.011e-10
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2626011 hash collisions in 20846929 relations (18992369 unique)
Msieve: matrix is 559683 x 559908 (188.6 MB)

Sieving start time : 2022/01/07 20:59:02
Sieving end time  : 2022/01/07 21:59:45

Total sieving time: 1hrs 0min 43secs.

Total relation processing time: 0hrs 4min 37sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 25sec.

Prototype def-par.txt line would be:
snfs,169,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000
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 5, 2022 09:57:25 UTC 2022 年 1 月 5 日 (水) 18 時 57 分 25 秒 (日本時間)

10170-763

c135

name 名前Bob Backstrom
date 日付January 7, 2022 10:01:16 UTC 2022 年 1 月 7 日 (金) 19 時 1 分 16 秒 (日本時間)
composite number 合成数
152346528744043015474517726415717999428794880210435783847272317955527604204704889209656636752453239243607479761788867355115977027025181<135>
prime factors 素因数
2810194106163801761498754609127520464214696873<46>
54212101722756576629792607566130768223798167752559633839505070932355581010479900373504597<89>
factorization results 素因数分解の結果
Number: n
N=152346528744043015474517726415717999428794880210435783847272317955527604204704889209656636752453239243607479761788867355115977027025181  ( 135 digits)
SNFS difficulty: 170 digits.
Divisors found:

Fri Jan  7 20:57:14 2022  p46 factor: 2810194106163801761498754609127520464214696873
Fri Jan  7 20:57:14 2022  p89 factor: 54212101722756576629792607566130768223798167752559633839505070932355581010479900373504597
Fri Jan  7 20:57:14 2022  elapsed time 00:09:39 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.303).
Factorization parameters were as follows:
#
# N = 10^170-76 = 6(168)16
#
n: 152346528744043015474517726415717999428794880210435783847272317955527604204704889209656636752453239243607479761788867355115977027025181
m: 10000000000000000000000000000000000
deg: 5
c5: 1
c0: -76
skew: 2.38
# Murphy_E = 3.595e-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, 8000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2352529 hash collisions in 20875112 relations (19362983 unique)
Msieve: matrix is 518265 x 518495 (172.7 MB)

Sieving start time : 2022/01/07 20:03:35
Sieving end time  : 2022/01/07 20:46:53

Total sieving time: 0hrs 43min 18secs.

Total relation processing time: 0hrs 3min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 2sec.

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 5, 2022 10:11:52 UTC 2022 年 1 月 5 日 (水) 19 時 11 分 52 秒 (日本時間)

10171-763

c104

name 名前Ignacio Santos
date 日付December 29, 2021 11:38:52 UTC 2021 年 12 月 29 日 (水) 20 時 38 分 52 秒 (日本時間)
composite number 合成数
64289534745850696929904285103660392746098084547311828602967789492157739073776340746191617746053400519297<104>
prime factors 素因数
1231229003021223280867210734016548361502033112163<49>
52215741010076342063522606107829140973434430799139721419<56>
factorization results 素因数分解の結果
prp49 = 1231229003021223280867210734016548361502033112163
prp56 = 52215741010076342063522606107829140973434430799139721419
software ソフトウェア
Yafu

ECM

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

10172-763

c140

name 名前Bob Backstrom
date 日付January 7, 2022 07:52:53 UTC 2022 年 1 月 7 日 (金) 16 時 52 分 53 秒 (日本時間)
composite number 合成数
12067831191713316407602565256369892335517384704542735345819518040948898711157187664491338568374726836274199923119624325888018351286898274453<140>
prime factors 素因数
52713227531063967678744916495300374239840913228286306257375307<62>
228933642596665687628449650490640726710232075701683773689682655249338472363679<78>
factorization results 素因数分解の結果
Number: n
N=12067831191713316407602565256369892335517384704542735345819518040948898711157187664491338568374726836274199923119624325888018351286898274453  ( 140 digits)
SNFS difficulty: 171 digits.
Divisors found:

Fri Jan  7 18:47:37 2022  p62 factor: 52713227531063967678744916495300374239840913228286306257375307
Fri Jan  7 18:47:37 2022  p78 factor: 228933642596665687628449650490640726710232075701683773689682655249338472363679
Fri Jan  7 18:47:37 2022  elapsed time 00:09:29 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.294).
Factorization parameters were as follows:
#
# N = 10^172-76 = 6(170)16
#
n: 12067831191713316407602565256369892335517384704542735345819518040948898711157187664491338568374726836274199923119624325888018351286898274453
m: 10000000000000000000000000000000000
deg: 5
c5: 25
c0: -19
skew: 0.95
# Murphy_E = 3.058e-10
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2497376 hash collisions in 20858756 relations (19164447 unique)
Msieve: matrix is 539602 x 539829 (182.2 MB)

Sieving start time : 2022/01/07 17:29:58
Sieving end time  : 2022/01/07 18:24:36

Total sieving time: 0hrs 54min 38secs.

Total relation processing time: 0hrs 4min 12sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 25sec.

Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.4,2.4,100000
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 18:08:51 UTC 2022 年 1 月 5 日 (水) 3 時 8 分 51 秒 (日本時間)

10174-763

c164

name 名前Bob Backstrom
date 日付January 5, 2022 00:01:51 UTC 2022 年 1 月 5 日 (水) 9 時 1 分 51 秒 (日本時間)
composite number 合成数
29467478336759053221439287863892373878877121978265522779846327767617511081675159047175278508745000426661386886634537136412735338569514934694581750625200260761770527<164>
prime factors 素因数
127868338774218626467418766099413633676888268149050638819159433<63>
230451717909550374498886088679804139185012094947524453028620115774892749874261295308211765307544406119<102>
factorization results 素因数分解の結果
Number: n
N=29467478336759053221439287863892373878877121978265522779846327767617511081675159047175278508745000426661386886634537136412735338569514934694581750625200260761770527  ( 164 digits)
SNFS difficulty: 174 digits.
Divisors found:

Wed Jan  5 10:56:58 2022  p63 factor: 127868338774218626467418766099413633676888268149050638819159433
Wed Jan  5 10:56:58 2022  p102 factor: 230451717909550374498886088679804139185012094947524453028620115774892749874261295308211765307544406119
Wed Jan  5 10:56:58 2022  elapsed time 00:12:04 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.295).
Factorization parameters were as follows:
#
# N = 10^174-76 = 6(172)16
#
n: 29467478336759053221439287863892373878877121978265522779846327767617511081675159047175278508745000426661386886634537136412735338569514934694581750625200260761770527
m: 50000000000000000000000000000000000
deg: 5
c5: 4
c0: -95
skew: 1.88
# Murphy_E = 1.905e-10
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2886699 hash collisions in 20470864 relations (18256437 unique)
Msieve: matrix is 691751 x 691976 (232.1 MB)

Sieving start time : 2022/01/05 09:31:02
Sieving end time  : 2022/01/05 10:44:30

Total sieving time: 1hrs 13min 28secs.

Total relation processing time: 0hrs 6min 51sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 32sec.

Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
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 4, 2022 11:44:37 UTC 2022 年 1 月 4 日 (火) 20 時 44 分 37 秒 (日本時間)

10179-763

c177

name 名前Ignacio Santos
date 日付January 5, 2022 12:58:40 UTC 2022 年 1 月 5 日 (水) 21 時 58 分 40 秒 (日本時間)
composite number 合成数
757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757<177>
prime factors 素因数
1155712673660692960245933259202777<34>
655505278120862012126667791207432016742237936418798983719993418001528229562200241437772815986513839656389953127071221090066645270198181050734741<144>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1876863559
Step 1 took 8453ms
Step 2 took 4187ms
********** Factor found in step 2: 1155712673660692960245933259202777
Found prime factor of 34 digits: 1155712673660692960245933259202777
Prime cofactor 655505278120862012126667791207432016742237936418798983719993418001528229562200241437772815986513839656389953127071221090066645270198181050734741 has 144 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)

10181-763

c178

name 名前Ignacio Santos
date 日付January 5, 2022 19:22:39 UTC 2022 年 1 月 6 日 (木) 4 時 22 分 39 秒 (日本時間)
composite number 合成数
1611863313990973565441650548033526756931012250161186331399097356544165054803352675693101225016118633139909735654416505480335267569310122501611863313990973565441650548033526756931<178>
prime factors 素因数
11400326829550594384134977241101226807317<41>
composite cofactor 合成数の残り
141387465297300944692230250053997381310376277732891254026067264741479245916639082435468320528127319240326470622274866468446745792851421943<138>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2400217459
Step 1 took 5984ms
Step 2 took 3078ms
********** Factor found in step 2: 11400326829550594384134977241101226807317
Found prime factor of 41 digits: 11400326829550594384134977241101226807317
Composite cofactor 141387465297300944692230250053997381310376277732891254026067264741479245916639082435468320528127319240326470622274866468446745792851421943 has 138 digits
software ソフトウェア
GMP-ECM

c138

name 名前Eric Jeancolas
date 日付January 20, 2022 18:03:10 UTC 2022 年 1 月 21 日 (金) 3 時 3 分 10 秒 (日本時間)
composite number 合成数
141387465297300944692230250053997381310376277732891254026067264741479245916639082435468320528127319240326470622274866468446745792851421943<138>
prime factors 素因数
1089842425201831985623343308415747457151994583394716700335896963189<67>
129732025500032146745086157138688376026298811932274134746188005557270587<72>
factorization results 素因数分解の結果
141387465297300944692230250053997381310376277732891254026067264741479245916639082435468320528127319240326470622274866468446745792851421943=1089842425201831985623343308415747457151994583394716700335896963189*129732025500032146745086157138688376026298811932274134746188005557270587 

cado polynomial
n: 141387465297300944692230250053997381310376277732891254026067264741479245916639082435468320528127319240326470622274866468446745792851421943
skew: 1.50
type: snfs
c0: -38
c5: 5
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 5*x^5-38
# 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: 129732025500032146745086157138688376026298811932274134746188005557270587 1089842425201831985623343308415747457151994583394716700335896963189
Info:Square Root: Total cpu/real time for sqrt: 176.75/57.5369
Info:Generate Free Relations: Total cpu/real time for freerel: 118.17/31.8002
Info:Filtering - Singleton removal: Total cpu/real time for purge: 137.23/131.886
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22414913
Info:Lattice Sieving: Average J: 1893.88 for 722444 special-q, max bucket fill -bkmult 1.0,1s:1.187550
Info:Lattice Sieving: Total time: 125942s
Info:Linear Algebra: Total cpu/real time for bwc: 12564.2/3239.02
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 7933.3, WCT time 2033.51, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (28160 iterations)
Info:Linear Algebra: Lingen CPU time 158.91, WCT time 40.43
Info:Linear Algebra: Mksol: CPU time 4328.3,  WCT time 1112.71, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14080 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 88.48/103.411
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 103.3s
Info:Filtering - Merging: Merged matrix has 900284 rows and total weight 153740331 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 210.96/58.9178
Info:Filtering - Merging: Total cpu/real time for replay: 31.14/26.3423
Info:Generate Factor Base: Total cpu/real time for makefb: 3.07/1.66457
Info:Quadratic Characters: Total cpu/real time for characters: 29.81/11.8138
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 214.69/177.315
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 163.5s
Info:Square Root: Total cpu/real time for sqrt: 176.75/57.5369
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 248214/67133.6
Info:root: Cleaning up computation data in /tmp/cado.ts4llt9q
129732025500032146745086157138688376026298811932274134746188005557270587 1089842425201831985623343308415747457151994583394716700335896963189
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 14:57:50 UTC 2022 年 1 月 6 日 (木) 23 時 57 分 50 秒 (日本時間)

10182-763

c176

name 名前Bob Backstrom
date 日付January 11, 2022 19:51:43 UTC 2022 年 1 月 12 日 (水) 4 時 51 分 43 秒 (日本時間)
composite number 合成数
83896277354381231396000496665961937936889864322940262494672586387996791806353968461711416941007493615493293331588290764362203720296523002681325024246024155416175873444143536463<176>
prime factors 素因数
528446635875066763642847180810192343241027107058037<51>
158760169256173774083375263014115271288269280597922567181368350285146291896702950775073864026204918498717986781536406533448499<126>
factorization results 素因数分解の結果
Number: n
N=83896277354381231396000496665961937936889864322940262494672586387996791806353968461711416941007493615493293331588290764362203720296523002681325024246024155416175873444143536463  ( 176 digits)
SNFS difficulty: 181 digits.
Divisors found:

Wed Jan 12 06:44:47 2022  p51 factor: 528446635875066763642847180810192343241027107058037
Wed Jan 12 06:44:47 2022  p126 factor: 158760169256173774083375263014115271288269280597922567181368350285146291896702950775073864026204918498717986781536406533448499
Wed Jan 12 06:44:47 2022  elapsed time 00:19:37 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.328).
Factorization parameters were as follows:
#
# N = 10^182-76 = 6(180)16
#
n: 83896277354381231396000496665961937936889864322940262494672586387996791806353968461711416941007493615493293331588290764362203720296523002681325024246024155416175873444143536463
m: 1000000000000000000000000000000000000
deg: 5
c5: 25
c0: -19
skew: 0.95
# Murphy_E = 1.214e-10
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 30900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2864410 hash collisions in 30800852 relations (29972031 unique)
Msieve: matrix is 796424 x 796650 (271.9 MB)

Sieving start time : 2022/01/11 20:38:35
Sieving end time  : 2022/01/12 06:21:08

Total sieving time: 9hrs 42min 33secs.

Total relation processing time: 0hrs 9min 6sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 58sec.

Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,53,53,2.5,2.5,100000
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 5, 2022 19:45:15 UTC 2022 年 1 月 6 日 (木) 4 時 45 分 15 秒 (日本時間)

10183-763

c168

name 名前Ignacio Santos
date 日付January 5, 2022 20:46:15 UTC 2022 年 1 月 6 日 (木) 5 時 46 分 15 秒 (日本時間)
composite number 合成数
534036681215741008090923547822520038204301505001901095740837750895265422881714787924948044692954498563302198265195048130603460225414739680144861816865841186463685417171<168>
prime factors 素因数
912715588418594734039107391678387879<36>
composite cofactor 合成数の残り
585107439811598917206927623040603954940965603162664371344957382286977427286504436246071938502476713142008288834126944382737935080949<132>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4287635772
Step 1 took 4953ms
Step 2 took 2719ms
********** Factor found in step 2: 912715588418594734039107391678387879
Found prime factor of 36 digits: 912715588418594734039107391678387879
Composite cofactor 585107439811598917206927623040603954940965603162664371344957382286977427286504436246071938502476713142008288834126944382737935080949 has 132 digits
software ソフトウェア
GMP-ECM

c132

name 名前Eric Jeancolas
date 日付January 20, 2022 20:44:36 UTC 2022 年 1 月 21 日 (金) 5 時 44 分 36 秒 (日本時間)
composite number 合成数
585107439811598917206927623040603954940965603162664371344957382286977427286504436246071938502476713142008288834126944382737935080949<132>
prime factors 素因数
3513339233521153374596646617180736883119040813<46>
166538839810578188718343567848987260299340295224480970528483898371256180171744316503273<87>
factorization results 素因数分解の結果
585107439811598917206927623040603954940965603162664371344957382286977427286504436246071938502476713142008288834126944382737935080949=3513339233521153374596646617180736883119040813*166538839810578188718343567848987260299340295224480970528483898371256180171744316503273

cado polynomial
n: 585107439811598917206927623040603954940965603162664371344957382286977427286504436246071938502476713142008288834126944382737935080949
skew: 0.60
type: snfs
c0: -19
c5: 250
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 250*x^5-19
# g(x) = -x+1000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 7700000
tasks.lim1 = 7700000
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: 3513339233521153374596646617180736883119040813 166538839810578188718343567848987260299340295224480970528483898371256180171744316503273
Info:Square Root: Total cpu/real time for sqrt: 255.18/80.5677
Info:Filtering - Singleton removal: Total cpu/real time for purge: 121.48/124.229
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22414034
Info:Lattice Sieving: Average J: 1894.18 for 938915 special-q, max bucket fill -bkmult 1.0,1s:1.198640
Info:Lattice Sieving: Total time: 164096s
Info:Linear Algebra: Total cpu/real time for bwc: 17770.8/4563.29
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 11258.19, WCT time 2881.89, iteration CPU time 0.08, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (33536 iterations)
Info:Linear Algebra: Lingen CPU time 213.37, WCT time 54.04
Info:Linear Algebra: Mksol: CPU time 6122.26,  WCT time 1562.12, iteration CPU time 0.09, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (16896 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 119.39/31.0938
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 90.01/102.823
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 102.7s
Info:Filtering - Merging: Merged matrix has 1068967 rows and total weight 181812566 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 256.41/71.3516
Info:Filtering - Merging: Total cpu/real time for replay: 37.97/32.2044
Info:Generate Factor Base: Total cpu/real time for makefb: 3.29/1.82466
Info:Quadratic Characters: Total cpu/real time for characters: 35.76/14.1638
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 216.05/182.42
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 168.10000000000002s
Info:Square Root: Total cpu/real time for sqrt: 255.18/80.5677
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 324742/87654.2
Info:root: Cleaning up computation data in /tmp/cado.j7hdmmj6
3513339233521153374596646617180736883119040813 166538839810578188718343567848987260299340295224480970528483898371256180171744316503273
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 15:16:57 UTC 2022 年 1 月 7 日 (金) 0 時 16 分 57 秒 (日本時間)

10184-763

c178

name 名前Ignacio Santos
date 日付January 5, 2022 21:38:18 UTC 2022 年 1 月 6 日 (木) 6 時 38 分 18 秒 (日本時間)
composite number 合成数
1652845571993655717556459551893731285656011101833137966986723683227518159814299494295368792821096656425635502593975840686843283133107620742021879708543823216926725388964148457267<178>
prime factors 素因数
9953580441721178720908224848894122019<37>
166055378933356440814981199503747855540852564736021199506115808122994048441937322967808718768671129939115694239994681186376069479800743900593<141>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3779125894
Step 1 took 8453ms
Step 2 took 4187ms
********** Factor found in step 2: 9953580441721178720908224848894122019
Found prime factor of 37 digits: 9953580441721178720908224848894122019
Prime cofactor 166055378933356440814981199503747855540852564736021199506115808122994048441937322967808718768671129939115694239994681186376069479800743900593 has 141 digits
software ソフトウェア
GMP-ECM

ECM

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

10188-763

c137

name 名前Eric Jeancolas
date 日付January 21, 2022 16:03:58 UTC 2022 年 1 月 22 日 (土) 1 時 3 分 58 秒 (日本時間)
composite number 合成数
80842545900603068536842315034658647223642632233484736983211690476620007106340384311659544166524104741745407906884402577680496675670812129<137>
prime factors 素因数
42788167760308202609131452411613440633872960101738106984856091126993<68>
1889366853786981617249288917451757213580754421185402650841759505345553<70>
factorization results 素因数分解の結果
80842545900603068536842315034658647223642632233484736983211690476620007106340384311659544166524104741745407906884402577680496675670812129=42788167760308202609131452411613440633872960101738106984856091126993*1889366853786981617249288917451757213580754421185402650841759505345553

cado polynomial
n: 80842545900603068536842315034658647223642632233484736983211690476620007106340384311659544166524104741745407906884402577680496675670812129
skew: 0.60
type: snfs
c0: -19
c5: 250
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 250*x^5-19
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 9300000
tasks.lim1 = 9300000
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: 42788167760308202609131452411613440633872960101738106984856091126993 1889366853786981617249288917451757213580754421185402650841759505345553
Info:Square Root: Total cpu/real time for sqrt: 434.46/136.995
Info:Filtering - Singleton removal: Total cpu/real time for purge: 206.31/241.801
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23182362
Info:Lattice Sieving: Average J: 1894.21 for 1237872 special-q, max bucket fill -bkmult 1.0,1s:1.154510
Info:Lattice Sieving: Total time: 232098s
Info:Linear Algebra: Total cpu/real time for bwc: 42171.9/10826.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 26966.33, WCT time 6894.33, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (50432 iterations)
Info:Linear Algebra: Lingen CPU time 324.86, WCT time 82.52
Info:Linear Algebra: Mksol: CPU time 14590.45,  WCT time 3739.57, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (25344 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 119.62/32.4537
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 94.35/107.652
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 107.30000000000001s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 323.39/303.566
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 254.7s
Info:Filtering - Merging: Merged matrix has 1608144 rows and total weight 273410185 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 421.65/116.993
Info:Filtering - Merging: Total cpu/real time for replay: 62.34/53.6691
Info:Generate Factor Base: Total cpu/real time for makefb: 3.95/2.16837
Info:Quadratic Characters: Total cpu/real time for characters: 57.86/23.5203
Info:Square Root: Total cpu/real time for sqrt: 434.46/136.995
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 478090/127825
Info:root: Cleaning up computation data in /tmp/cado.fauns2an
42788167760308202609131452411613440633872960101738106984856091126993 1889366853786981617249288917451757213580754421185402650841759505345553
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 14:32:55 UTC 2022 年 1 月 6 日 (木) 23 時 32 分 55 秒 (日本時間)

10194-763

c163

name 名前Eric Jeancolas
date 日付January 23, 2022 22:05:17 UTC 2022 年 1 月 24 日 (月) 7 時 5 分 17 秒 (日本時間)
composite number 合成数
2331603614860433914009326342439310009904011451998939159058380234303912997970588114561976006025890098712851250487505061744680397274824538525569617045484067578981443<163>
prime factors 素因数
308579458248311190372903440994218432575849225419981061795062209<63>
7555926204861675801213925773226200682771158345106446030689051516532812081020850383846600357323540227<100>
factorization results 素因数分解の結果
2331603614860433914009326342439310009904011451998939159058380234303912997970588114561976006025890098712851250487505061744680397274824538525569617045484067578981443=308579458248311190372903440994218432575849225419981061795062209*7555926204861675801213925773226200682771158345106446030689051516532812081020850383846600357323540227

cado polynomial
n: 2331603614860433914009326342439310009904011451998939159058380234303912997970588114561976006025890098712851250487505061744680397274824538525569617045484067578981443
skew: 1.88
type: snfs
c0: -95
c5: 4
Y0: 500000000000000000000000000000000000000
Y1: -1
# f(x) = 4*x^5-95
# g(x) = -x+500000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 12000000
tasks.lim1 = 12000000
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: 308579458248311190372903440994218432575849225419981061795062209 7555926204861675801213925773226200682771158345106446030689051516532812081020850383846600357323540227
Info:Square Root: Total cpu/real time for sqrt: 559.18/179.901
Info:Filtering - Singleton removal: Total cpu/real time for purge: 407.1/472.628
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 27899192
Info:Lattice Sieving: Average J: 1893.85 for 2597296 special-q, max bucket fill -bkmult 1.0,1s:1.174030
Info:Lattice Sieving: Total time: 549429s
Info:Linear Algebra: Total cpu/real time for bwc: 92104.8/23552.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 58902.46, WCT time 15018.37, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (72192 iterations)
Info:Linear Algebra: Lingen CPU time 506.59, WCT time 128.29
Info:Linear Algebra: Mksol: CPU time 31889.59,  WCT time 8140.34, iteration CPU time 0.21, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (36352 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 117.25/31.6924
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 116.3/135.728
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 134.99999999999997s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 511.36/516.153
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 415.90000000000003s
Info:Filtering - Merging: Merged matrix has 2309006 rows and total weight 395339614 (171.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 638.28/176.079
Info:Filtering - Merging: Total cpu/real time for replay: 90.53/79.4814
Info:Generate Factor Base: Total cpu/real time for makefb: 5.07/2.47228
Info:Quadratic Characters: Total cpu/real time for characters: 80.7/34.9541
Info:Square Root: Total cpu/real time for sqrt: 559.18/179.901
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.12371e+06/299878
Info:root: Cleaning up computation data in /tmp/cado.ycq24ih2
308579458248311190372903440994218432575849225419981061795062209 7555926204861675801213925773226200682771158345106446030689051516532812081020850383846600357323540227
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 19:25:31 UTC 2022 年 1 月 11 日 (火) 4 時 25 分 31 秒 (日本時間)

10195-763

c170

name 名前Bob Backstrom
date 日付January 16, 2022 00:04:11 UTC 2022 年 1 月 16 日 (日) 9 時 4 分 11 秒 (日本時間)
composite number 合成数
67417242178346455005748985982177567561521467261780208029967160495919009677315662543001012595969507985456415157913377619434495086680670210391412330853551224040363103623989<170>
prime factors 素因数
16470082080802081396741686030872787971453155373309991188730646403<65>
4093315494579689599006061735004736074047277116956426194517806344489854941043459215942605781055060362540263<106>
factorization results 素因数分解の結果
Number: n
N=67417242178346455005748985982177567561521467261780208029967160495919009677315662543001012595969507985456415157913377619434495086680670210391412330853551224040363103623989  ( 170 digits)
SNFS difficulty: 195 digits.
Divisors found:

Sun Jan 16 10:59:40 2022  p65 factor: 16470082080802081396741686030872787971453155373309991188730646403
Sun Jan 16 10:59:40 2022  p106 factor: 4093315494579689599006061735004736074047277116956426194517806344489854941043459215942605781055060362540263
Sun Jan 16 10:59:40 2022  elapsed time 00:38:45 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.299).
Factorization parameters were as follows:
#
# N = 10^195-76 = 6(193)16
#
n: 67417242178346455005748985982177567561521467261780208029967160495919009677315662543001012595969507985456415157913377619434495086680670210391412330853551224040363103623989
m: 1000000000000000000000000000000000000000
deg: 5
c5: 1
c0: -76
skew: 2.38
# Murphy_E = 3.472e-11
type: snfs
lss: 1
rlim: 12400000
alim: 12400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12400000/12400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 26200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3172293 hash collisions in 29747883 relations (28402525 unique)
Msieve: matrix is 1297750 x 1297975 (450.5 MB)

Sieving start time : 2022/01/16 03:04:22
Sieving end time  : 2022/01/16 10:19:47

Total sieving time: 7hrs 15min 25secs.

Total relation processing time: 0hrs 29min 37sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 16sec.

Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12400000,12400000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119057] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221988K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505248K reserved, 0K cma-reserved)
[    0.152620] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798576)
[    0.150211] smpboot: Total of 16 processors activated (102388.60 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 10, 2022 20:21:29 UTC 2022 年 1 月 11 日 (火) 5 時 21 分 29 秒 (日本時間)

10196-763

c193

name 名前Bob Backstrom
date 日付January 17, 2022 07:12:07 UTC 2022 年 1 月 17 日 (月) 16 時 12 分 7 秒 (日本時間)
composite number 合成数
7788161993769470404984423676012461059190031152647975077881619937694704049844236760124610591900311526479750778816199376947040498442367601246105919003115264797507788161993769470404984423676012461<193>
prime factors 素因数
3759356724477853651036598300581214849473691223844522547<55>
2071674109312195553191029971630655608057458076449853404828935561322543873562326233375068595938613240398062660337893999025595012444450236063<139>
factorization results 素因数分解の結果
Number: n
N=7788161993769470404984423676012461059190031152647975077881619937694704049844236760124610591900311526479750778816199376947040498442367601246105919003115264797507788161993769470404984423676012461  ( 193 digits)
SNFS difficulty: 195 digits.
Divisors found:

Mon Jan 17 18:06:06 2022  p55 factor: 3759356724477853651036598300581214849473691223844522547
Mon Jan 17 18:06:06 2022  p139 factor: 2071674109312195553191029971630655608057458076449853404828935561322543873562326233375068595938613240398062660337893999025595012444450236063
Mon Jan 17 18:06:06 2022  elapsed time 00:43:14 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.294).
Factorization parameters were as follows:
#
# N = 10^196-76 = 6(194)16
#
n: 7788161993769470404984423676012461059190031152647975077881619937694704049844236760124610591900311526479750778816199376947040498442367601246105919003115264797507788161993769470404984423676012461
m: 1000000000000000000000000000000000000000
deg: 5
c5: 5
c0: -38
skew: 1.50
# Murphy_E = 3.04e-11
type: snfs
lss: 1
rlim: 12800000
alim: 12800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12800000/12800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3501862 hash collisions in 30364264 relations (28662821 unique)
Msieve: matrix is 1352856 x 1353081 (470.0 MB)

Sieving start time : 2022/01/17 13:36:41
Sieving end time  : 2022/01/17 17:22:16

Total sieving time: 3hrs 45min 35secs.

Total relation processing time: 0hrs 33min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 29sec.

Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12800000,12800000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119057] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221988K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505248K reserved, 0K cma-reserved)
[    0.152620] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798576)
[    0.150211] smpboot: Total of 16 processors activated (102388.60 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 12, 2022 19:19:26 UTC 2022 年 1 月 13 日 (木) 4 時 19 分 26 秒 (日本時間)

10197-763

c159

name 名前Eric Jeancolas
date 日付January 23, 2022 22:19:05 UTC 2022 年 1 月 24 日 (月) 7 時 19 分 5 秒 (日本時間)
composite number 合成数
248648628953899858420919621778392223024327994380932893388068121310146306085587007121202165851811329397223190794725941156939249603995756134709828013255976535323<159>
prime factors 素因数
55962278952492781742045688333750847508385455607056903<53>
4443146948411114748404905319586140349155557901321832928776510509216005965527130349439069030830433061304141<106>
factorization results 素因数分解の結果
248648628953899858420919621778392223024327994380932893388068121310146306085587007121202165851811329397223190794725941156939249603995756134709828013255976535323=55962278952492781742045688333750847508385455607056903*4443146948411114748404905319586140349155557901321832928776510509216005965527130349439069030830433061304141

cado polynomial
n: 248648628953899858420919621778392223024327994380932893388068121310146306085587007121202165851811329397223190794725941156939249603995756134709828013255976535323
skew: 0.95
type: snfs
c0: -19
c5: 25
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 25*x^5-19
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 13100000
tasks.lim1 = 13100000
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: 55962278952492781742045688333750847508385455607056903 4443146948411114748404905319586140349155557901321832928776510509216005965527130349439069030830433061304141
Info:Square Root: Total cpu/real time for sqrt: 1075.79/330.306
Info:Generate Free Relations: Total cpu/real time for freerel: 118.63/31.9649
Info:Filtering - Singleton removal: Total cpu/real time for purge: 360.34/422.223
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 26694524
Info:Lattice Sieving: Average J: 1893.73 for 2127092 special-q, max bucket fill -bkmult 1.0,1s:1.174610
Info:Lattice Sieving: Total time: 484235s
Info:Linear Algebra: Total cpu/real time for bwc: 86782.9/22266
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 55575.23, WCT time 14214.58, iteration CPU time 0.19, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (70656 iterations)
Info:Linear Algebra: Lingen CPU time 497.36, WCT time 126.03
Info:Linear Algebra: Mksol: CPU time 29934.67,  WCT time 7660.7, iteration CPU time 0.21, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (35328 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 111.81/127.389
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 126.89999999999998s
Info:Filtering - Merging: Merged matrix has 2248013 rows and total weight 384067205 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 630.91/174.335
Info:Filtering - Merging: Total cpu/real time for replay: 88.94/77.0589
Info:Generate Factor Base: Total cpu/real time for makefb: 5.5/2.63682
Info:Quadratic Characters: Total cpu/real time for characters: 79.47/34.321
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 467.29/472.67
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 386.20000000000005s
Info:Square Root: Total cpu/real time for sqrt: 1075.79/330.306
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 995702/265998
Info:root: Cleaning up computation data in /tmp/cado.ed_98j85
55962278952492781742045688333750847508385455607056903 4443146948411114748404905319586140349155557901321832928776510509216005965527130349439069030830433061304141
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 12, 2022 19:51:40 UTC 2022 年 1 月 13 日 (木) 4 時 51 分 40 秒 (日本時間)

10198-763

c169

name 名前Bob Backstrom
date 日付January 26, 2022 07:13:51 UTC 2022 年 1 月 26 日 (水) 16 時 13 分 51 秒 (日本時間)
composite number 合成数
3259889505075013418163007857070328861274096646459223259654594608936334635612073214963918622559954951487845899219682358467263848137881197305814309713797464052176084184321<169>
prime factors 素因数
771839286881078662926527100687816272617711<42>
28081011184541289674568642110488400667185871353<47>
150405340349356088832384878087212457016905276309818145648433338794363397704975687<81>
factorization results 素因数分解の結果
Number: n
N=3259889505075013418163007857070328861274096646459223259654594608936334635612073214963918622559954951487845899219682358467263848137881197305814309713797464052176084184321  ( 169 digits)
SNFS difficulty: 197 digits.
Divisors found:

Wed Jan 26 18:06:21 2022  found factor: 771839286881078662926527100687816272617711
Wed Jan 26 18:09:29 2022  p42 factor: 771839286881078662926527100687816272617711
Wed Jan 26 18:09:29 2022  p47 factor: 28081011184541289674568642110488400667185871353
Wed Jan 26 18:09:29 2022  p81 factor: 150405340349356088832384878087212457016905276309818145648433338794363397704975687
Wed Jan 26 18:09:29 2022  elapsed time 01:03:42 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.312).
Factorization parameters were as follows:
#
# N = 10^198-76 = 6(196)16
#
n: 3259889505075013418163007857070328861274096646459223259654594608936334635612073214963918622559954951487845899219682358467263848137881197305814309713797464052176084184321
m: 1000000000000000000000000000000000000000
deg: 5
c5: 250
c0: -19
skew: 0.60
# Murphy_E = 2.175e-11
type: snfs
lss: 1
rlim: 13600000
alim: 13600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13600000/13600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 26800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4849003 hash collisions in 38165126 relations (34654977 unique)
Msieve: matrix is 1524101 x 1524326 (523.9 MB)

Sieving start time : 2022/01/26 10:13:11
Sieving end time  : 2022/01/26 17:05:09

Total sieving time: 6hrs 51min 58secs.

Total relation processing time: 0hrs 44min 12sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 16sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13600000,13600000,28,28,55,55,2.5,2.5,100000
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)
403e62350Ignacio SantosJanuary 12, 2022 20:59:22 UTC 2022 年 1 月 13 日 (木) 5 時 59 分 22 秒 (日本時間)

10199-763

c130

name 名前Bob Backstrom
date 日付January 3, 2022 10:21:29 UTC 2022 年 1 月 3 日 (月) 19 時 21 分 29 秒 (日本時間)
composite number 合成数
5843126152274457874590852998182366197565232508548819320309485567233155820545079554158093031659417137619722911873650566111623717601<130>
prime factors 素因数
768052234881671738873185599411927719519553636550200737<54>
7607719744705470615708817919907044391020201889201156590622380587173359537473<76>
factorization results 素因数分解の結果
CADO

STA:Mon 03 Jan 2022 14:42:17 AEDT (5,843,126,152,274,457,874,590,852,998,182,366,197,565,232,508,548,819,320,309,485,567,233,155,820,545,079,554,158,093,031,659,417,137,619,722,911,873,650,566,111,623,717,601 - C130)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 5843126152274457874590852998182366197565232508548819320309485567233155820545079554158093031659417137619722911873650566111623717601 2>&1 | tee -a log155

Debug:root: Looking for parameter file for c130 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.c130
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c130
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.kejc0fem
Info:Database: Opened connection to database /tmp/cado.kejc0fem/c130.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 5843126152274457874590852998182366197565232508548819320309485567233155820545079554158
093031659417137619722911873650566111623717601
Debug:root: Root parameter dictionary:
N = 5843126152274457874590852998182366197565232508548819320309485567233155820545079554158093031659417137619722911873650566111623717601
lim0 = 11872741
lim1 = 45278470
lpb0 = 27
lpb1 = 28
name = c130
...
n: 5843126152274457874590852998182366197565232508548819320309485567233155820545079554158093031659417137619722911873650566111623717601
skew: 24501.67
c0: -7405805041464060538873665264
c1: 2193112627609248530674568
c2: 248542919903283159474
c3: -4652378419348643
c4: 145102631940
c5: -1781100
Y0: -8677920491049960825310507
Y1: 7386345494726177
# MurphyE (Bf=4.53e+07,Bg=1.19e+07,area=6.08e+15) = 1.7e-09
# f(x) = -1781100*x^5+145102631940*x^4-4652378419348643*x^3+248542919903283159474*x^2+2193112627609248530674568*x-7405805041464060538873665264
# g(x) = 7386345494726177*x-8677920491049960825310507
...
Info:Square Root: finished
Info:Square Root: Factors: 7607719744705470615708817919907044391020201889201156590622380587173359537473 768052234881671738873185599411927719519553636550200737
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 1829.86/252.878
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 39216/38.620/46.332/49.530/0.857
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 39216/37.820/41.710/47.150/1.156
Info:Polynomial Selection (size optimized): Total time: 5814.42
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1973.49
Info:Polynomial Selection (root optimized): Rootsieve time: 1972.62
Info:Generate Factor Base: Total cpu/real time for makefb: 59.27/5.35695
Info:Generate Free Relations: Total cpu/real time for freerel: 303.07/20.0492
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 19252438
Info:Lattice Sieving: Average J: 7601.03 for 81258 special-q, max bucket fill: 0.668056
Info:Lattice Sieving: Total CPU time: 256099s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 50.32/70.2284
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 70.1s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 332.7/106.386
Info:Filtering - Singleton removal: Total cpu/real time for purge: 185.01/78.8938
Info:Filtering - Merging: Total cpu/real time for merge: 1037.89/922.608
Info:Filtering - Merging: Total cpu/real time for replay: 61.85/48.2248
Info:Linear Algebra: Total cpu/real time for bwc: 65259.1/0.000324011
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 2836.78
Info:Linear Algebra: Lingen CPU time 379.1, WCT time 37.38
Info:Linear Algebra: Mksol: WCT time 1561.02
Info:Quadratic Characters: Total cpu/real time for characters: 61.87/14.5577
Info:Square Root: Total cpu/real time for sqrt: 1829.86/252.878
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 333068/23763.1
Info:root: Cleaning up computation data in /tmp/cado.kejc0fem
7607719744705470615708817919907044391020201889201156590622380587173359537473 768052234881671738873185599411927719519553636550200737

END:Mon 03 Jan 2022 21:18:21 AEDT (5,843,126,152,274,457,874,590,852,998,182,366,197,565,232,508,548,819,320,309,485,567,233,155,820,545,079,554,158,093,031,659,417,137,619,722,911,873,650,566,111,623,717,601 - C130)

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 13:26:52 UTC 2021 年 12 月 30 日 (木) 22 時 26 分 52 秒 (日本時間)

10200-763

c152

name 名前Eric Jeancolas
date 日付January 26, 2022 18:32:16 UTC 2022 年 1 月 27 日 (木) 3 時 32 分 16 秒 (日本時間)
composite number 合成数
92989329794593221920723827780145260288415071373216419089435033592533399349821873770487464694447153378646351326787759000996643766086058485683519778347777<152>
prime factors 素因数
2463448140721612062305992647965983858357351448590835915873266496887<67>
37747630346849549079190054352460247300943629463851806307612952110804994653769756422471<86>
factorization results 素因数分解の結果
92989329794593221920723827780145260288415071373216419089435033592533399349821873770487464694447153378646351326787759000996643766086058485683519778347777=2463448140721612062305992647965983858357351448590835915873266496887*37747630346849549079190054352460247300943629463851806307612952110804994653769756422471

cado polynomial
n: 92989329794593221920723827780145260288415071373216419089435033592533399349821873770487464694447153378646351326787759000996643766086058485683519778347777
skew: 2.38
type: snfs
c0: -76
c5: 1
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = x^5-76
# g(x) = -x+10000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 15100000
tasks.lim1 = 15100000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 37747630346849549079190054352460247300943629463851806307612952110804994653769756422471 2463448140721612062305992647965983858357351448590835915873266496887
Info:Square Root: Total cpu/real time for sqrt: 643.83/208.488
Info:Filtering - Singleton removal: Total cpu/real time for purge: 432.9/501.705
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 29196076
Info:Lattice Sieving: Average J: 1893.78 for 3068559 special-q, max bucket fill -bkmult 1.0,1s:1.117290
Info:Lattice Sieving: Total time: 781924s
Info:Linear Algebra: Total cpu/real time for bwc: 127683/32702.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 81819.89, WCT time 20892.09, iteration CPU time 0.24, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (83968 iterations)
Info:Linear Algebra: Lingen CPU time 575.69, WCT time 146.16
Info:Linear Algebra: Mksol: CPU time 44310.27,  WCT time 11324.74, iteration CPU time 0.26, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (41984 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 120.56/32.7761
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 123.8/144.781
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 144.1s
Info:Filtering - Merging: Merged matrix has 2682684 rows and total weight 457507198 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 766.51/210.943
Info:Filtering - Merging: Total cpu/real time for replay: 104.73/91.9024
Info:Generate Factor Base: Total cpu/real time for makefb: 6.24/2.92693
Info:Quadratic Characters: Total cpu/real time for characters: 92.92/40.171
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 532.19/543.87
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 440.8s
Info:Square Root: Total cpu/real time for sqrt: 643.83/208.488
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.60236e+06/425602
Info:root: Cleaning up computation data in /tmp/cado.r866t2lu
37747630346849549079190054352460247300943629463851806307612952110804994653769756422471 2463448140721612062305992647965983858357351448590835915873266496887
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)
403e62200ebinaJanuary 13, 2022 02:54:02 UTC 2022 年 1 月 13 日 (木) 11 時 54 分 2 秒 (日本時間)

10203-763

c196

name 名前Bob Backstrom
date 日付January 20, 2022 23:16:37 UTC 2022 年 1 月 21 日 (金) 8 時 16 分 37 秒 (日本時間)
composite number 合成数
4256737095233254719912658565585165986354944106487897330225574714845438727419499567770915350015315740068649250482245745518975427218905088895143454594151617824013888541255359444839753429355106032767<196>
prime factors 素因数
532154165607289998233288117860597288905643578718196321322770251<63>
7999067507769108651534474384139600413792778057053927252907985126942653492573214050016894151057459507566313910542614437909309708063517<133>
factorization results 素因数分解の結果
Number: n
N=4256737095233254719912658565585165986354944106487897330225574714845438727419499567770915350015315740068649250482245745518975427218905088895143454594151617824013888541255359444839753429355106032767  ( 196 digits)
SNFS difficulty: 202 digits.
Divisors found:

Fri Jan 21 10:11:15 2022  p63 factor: 532154165607289998233288117860597288905643578718196321322770251
Fri Jan 21 10:11:15 2022  p133 factor: 7999067507769108651534474384139600413792778057053927252907985126942653492573214050016894151057459507566313910542614437909309708063517
Fri Jan 21 10:11:15 2022  elapsed time 01:14:23 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.332).
Factorization parameters were as follows:
#
# N = 10^203-76 = 6(201)16
#
n: 4256737095233254719912658565585165986354944106487897330225574714845438727419499567770915350015315740068649250482245745518975427218905088895143454594151617824013888541255359444839753429355106032767
m: 10000000000000000000000000000000000000000
deg: 5
c5: 250
c0: -19
skew: 0.60
# Murphy_E = 1.344e-11
type: snfs
lss: 1
rlim: 16500000
alim: 16500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 16500000/16500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 35450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5580825 hash collisions in 39356582 relations (35011379 unique)
Msieve: matrix is 1777728 x 1777954 (612.5 MB)

Sieving start time : 2022/01/20 21:48:53
Sieving end time  : 2022/01/21 08:56:10

Total sieving time: 11hrs 7min 17secs.

Total relation processing time: 1hrs 1min 26sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 5sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16500000,16500000,28,28,55,55,2.6,2.6,100000
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)
403e62200ebinaJanuary 13, 2022 04:17:23 UTC 2022 年 1 月 13 日 (木) 13 時 17 分 23 秒 (日本時間)

10204-763

c140

name 名前Ignacio Santos
date 日付January 9, 2022 14:23:26 UTC 2022 年 1 月 9 日 (日) 23 時 23 分 26 秒 (日本時間)
composite number 合成数
26847300068884067455709126594607927460115402802701991442400169844984146019193052896550883517327095789134455149411259385605883027840807738269<140>
prime factors 素因数
170425128622642573103249200650464896881782061373<48>
157531346966618351232766248075379154302370611399057930396569376926149586716722557924588163553<93>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:4228202491
Step 1 took 21532ms
Step 2 took 10546ms
********** Factor found in step 2: 170425128622642573103249200650464896881782061373
Found prime factor of 48 digits: 170425128622642573103249200650464896881782061373
Prime cofactor 157531346966618351232766248075379154302370611399057930396569376926149586716722557924588163553 has 93 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 21:51:02 UTC 2021 年 12 月 31 日 (金) 6 時 51 分 2 秒 (日本時間)

10205-763

c115

name 名前Bob Backstrom
date 日付January 1, 2022 22:48:18 UTC 2022 年 1 月 2 日 (日) 7 時 48 分 18 秒 (日本時間)
composite number 合成数
3763889330832243361521269296815356444470756757323045192476421589033346385534647622615448465673947309419661844146501<115>
prime factors 素因数
2222275075447374091279084961587219593661<40>
1693709915760325677534595061857720035871186856436502023599710172195174822441<76>
factorization results 素因数分解の結果
CADO

STA:Sun 02 Jan 2022 08:22:18 AEDT (3,763,889,330,832,243,361,521,269,296,815,356,444,470,756,757,323,045,192,476,421,589,033,346,385,534,647,622,615,448,465,673,947,309,419,661,844,146,501 - C115)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 3763889330832243361521269296815356444470756757323045192476421589033346385534647622615448465673947309419661844146501 2>&1 | tee -a log145

Debug:root: Looking for parameter file for c115 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.j06xuy06
Info:Database: Opened connection to database /tmp/cado.j06xuy06/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 3763889330832243361521269296815356444470756757323045192476421589033346385534647622615
448465673947309419661844146501
Debug:root: Root parameter dictionary:
N = 3763889330832243361521269296815356444470756757323045192476421589033346385534647622615448465673947309419661844146501
lim0 = 5484593
lim1 = 2800829
lpb0 = 26
lpb1 = 26
name = c115
...
n: 3763889330832243361521269296815356444470756757323045192476421589033346385534647622615448465673947309419661844146501
skew: 2360025.329
c0: -286907000582950762350489739376
c1: -3329134031197342579320441
c2: 465861291226114181
c3: 407654055066
c4: 69120
Y0: -3167197890144030519192400179
Y1: 43597737637252227023
# MurphyE (Bf=2.80e+06,Bg=5.48e+06,area=9.40e+13) = 2.16e-09
# f(x) = 69120*x^4+407654055066*x^3+465861291226114181*x^2-3329134031197342579320441*x-286907000582950762350489739376
# g(x) = 43597737637252227023*x-3167197890144030519192400179
...
Info:Square Root: finished
Info:Square Root: Factors: 2222275075447374091279084961587219593661 1693709915760325677534595061857720035871186856436502023599710172195174822441
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 299.6/43.7239
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): 56579/37.920/43.769/48.070/0.627
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 56579/37.590/42.980/44.630/1.007
Info:Polynomial Selection (size optimized): Total time: 1117.26
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 153.97
Info:Polynomial Selection (root optimized): Rootsieve time: 153.31
Info:Generate Factor Base: Total cpu/real time for makefb: 2.85/0.320765
Info:Generate Free Relations: Total cpu/real time for freerel: 53.34/3.51445
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6785315
Info:Lattice Sieving: Average J: 4096 for 77836 special-q, max bucket fill: 0.676888
Info:Lattice Sieving: Total CPU time: 65807.4s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 16.71/19.623
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 19.5s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 89.8/28.6245
Info:Filtering - Singleton removal: Total cpu/real time for purge: 74.92/29.1646
Info:Filtering - Merging: Total cpu/real time for merge: 146.79/116.403
Info:Filtering - Merging: Total cpu/real time for replay: 15.49/11.9073
Info:Linear Algebra: Total cpu/real time for bwc: 4513.12/0.000324488
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 187.25
Info:Linear Algebra: Lingen CPU time 95.07, WCT time 9.55
Info:Linear Algebra: Mksol: WCT time 103.0
Info:Quadratic Characters: Total cpu/real time for characters: 15.18/3.60638
Info:Square Root: Total cpu/real time for sqrt: 299.6/43.7239
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 72306.5/4982.67
Info:root: Cleaning up computation data in /tmp/cado.j06xuy06
2222275075447374091279084961587219593661 1693709915760325677534595061857720035871186856436502023599710172195174822441

END:Sun 02 Jan 2022 09:45:21 AEDT (3,763,889,330,832,243,361,521,269,296,815,356,444,470,756,757,323,045,192,476,421,589,033,346,385,534,647,622,615,448,465,673,947,309,419,661,844,146,501 - C115)

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 21:24:22 UTC 2021 年 12 月 30 日 (木) 6 時 24 分 22 秒 (日本時間)

10207-763

c144

name 名前Bob Backstrom
date 日付March 19, 2024 17:11:55 UTC 2024 年 3 月 20 日 (水) 2 時 11 分 55 秒 (日本時間)
composite number 合成数
584380332034601115638428277029982867921718185626423812091049055034232815748551719769036066859174596087987330875461567070525989447144873323982137<144>
prime factors 素因数
29060023638873687652502022129875367204935145035026444679305421613187<68>
20109423835873060150264979421507503610196048533355405269506967844311372680851<77>
factorization results 素因数分解の結果
CADO:

STA:Sun 17 Mar 2024 21:30:58 AEDT (584380332034601115638428277029982867921718185626423812091049055034232815748551719769036066859174596087987330875461567070525989447144873323982137 - C144)

/home/vboxuser/Math/cado-nfs/cado-nfs.py -t 20 --no-colors --screenlog DEBUG 584380332034601115638428277029982867921718185626423812091049055034232815748551719769036066859174596087987330875461567070525989447144873323982137 2>&1 | tee -a log-52

Debug:root: Looking for parameter file for c144 in directory /home/vboxuser/Math/cado-nfs/parameters/factor
Info:root: Using default parameter file /home/vboxuser/Math/cado-nfs/parameters/factor/params.c145
Debug:Parameters: Reading parameter file /home/vboxuser/Math/cado-nfs/parameters/factor/params.c145
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.xdmm6yez
Info:Database: Opened connection to database /tmp/cado.xdmm6yez/c145.db
Info:root: Set tasks.threads=20 based on --server-threads 20
Info:root: tasks.threads = 20 [via tasks.threads]
Info:root: tasks.polyselect.threads = 2 [via tasks.polyselect.threads]
Info:root: tasks.sieve.las.threads = 2 [via tasks.sieve.las.threads]
Info:root: tasks.linalg.bwc.threads = 20 [via tasks.threads]
Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads]
Info:root: slaves.scriptpath is /home/vboxuser/Math/cado-nfs/build/Ubuntu
Info:root: Command line parameters: /home/vboxuser/Math/cado-nfs/cado-nfs.py -t 20 --no-colors --screenlog DEBUG 584380332034601115638428277029982867921718185626423812091049055034232815748551719769036066859174596087987330875461567070525989447144873323982137
Debug:root: Root parameter dictionary:
N = 584380332034601115638428277029982867921718185626423812091049055034232815748551719769036066859174596087987330875461567070525989447144873323982137
name = c145
===
Info:Polynomial Selection (root optimized): Best polynomial is:
n: 584380332034601115638428277029982867921718185626423812091049055034232815748551719769036066859174596087987330875461567070525989447144873323982137
skew: 932091.658
c0: -2485764419366798035082199389780960
c1: -42902970744894730906955151188
c2: -194389261792421568641161
c3: 80666572679570852
c4: 53309515194
c5: 28980
Y0: -8215659991278880871346072341
Y1: 4447668121302100344719
# MurphyE (Bf=1.074e+09,Bg=1.074e+09,area=2.684e+14) = 5.113e-07
# f(x) = 28980*x^5+53309515194*x^4+80666572679570852*x^3-194389261792421568641161*x^2-42902970744894730906955151188*x-2485764419366798035082199389780960
# g(x) = 4447668121302100344719*x-8215659991278880871346072341
===
Debug:Command: Process with PID 411840 finished successfully
Info:Square Root: finished
Info:Square Root: Factors: 20109423835873060150264979421507503610196048533355405269506967844311372680851 29060023638873687652502022129875367204935145035026444679305421613187
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 5018.18/611.778
Info:HTTP server: Got notification to stop serving Workunits
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 9391.73
Info:Polynomial Selection (root optimized): Rootsieve time: 9390.06
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 85001451
Info:Lattice Sieving: Average J: 8027.73 for 404286 special-q, max bucket fill -bkmult 1.0,1s:1.208690
Info:Lattice Sieving: Total time: 1.58885e+06s
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 133692
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 91630/43.900/53.602/66.380/2.263
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 77787/41.480/46.523/57.770/1.202
Info:Polynomial Selection (size optimized): Total time: 127597
Info:Square Root: Total cpu/real time for sqrt: 5018.18/611.778
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1859.96/1830.89
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 1232.8s
Info:Quadratic Characters: Total cpu/real time for characters: 118.94/28.3932
Info:Filtering - Singleton removal: Total cpu/real time for purge: 747.08/159.391
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 1142.83/3028.26
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 3027.4s
Info:Filtering - Merging: Total cpu/real time for merge: 691.51/345.632
Info:Filtering - Merging: Total cpu/real time for replay: 52.62/46.9236
Info:Generate Factor Base: Total cpu/real time for makefb: 15.52/5.78901
Info:Generate Free Relations: Total cpu/real time for freerel: 1477.8/109.68
Info:Linear Algebra: Total cpu/real time for bwc: 91562.1/17807
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 44033.88, WCT time 10268.08, iteration CPU time 0.05, COMM 0.06, cpu-wait 0.02, comm-wait 0.01 (72000 iterations)
Info:Linear Algebra: Lingen CPU time 13157.82, WCT time 1092.03
Info:Linear Algebra: Mksol: CPU time 29472.17,  WCT time 5638.82, iteration CPU time 0.07, COMM 0.06, cpu-wait 0.02, comm-wait 0.0 (36000 iterations)
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 2.51711e+06/194427 [2d 06:00:27]
Info:root: Cleaning up computation data in /tmp/cado.xdmm6yez
20109423835873060150264979421507503610196048533355405269506967844311372680851 29060023638873687652502022129875367204935145035026444679305421613187

END:Wed 20 Mar 2024 03:31:28 AEDT (584380332034601115638428277029982867921718185626423812091049055034232815748551719769036066859174596087987330875461567070525989447144873323982137 - C144)

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)
403e62200ebinaJanuary 13, 2022 05:14:49 UTC 2022 年 1 月 13 日 (木) 14 時 14 分 49 秒 (日本時間)
4511e654801000Dmitry DomanovFebruary 18, 2022 23:30:11 UTC 2022 年 2 月 19 日 (土) 8 時 30 分 11 秒 (日本時間)
4480Ignacio SantosJanuary 24, 2024 10:39:45 UTC 2024 年 1 月 24 日 (水) 19 時 39 分 45 秒 (日本時間)

10208-763

c205

name 名前Ignacio Santos
date 日付July 7, 2022 16:17:20 UTC 2022 年 7 月 8 日 (金) 1 時 17 分 20 秒 (日本時間)
composite number 合成数
1030078285949732179645653069633292130201895344046147507210548001648125257519571487433044911413267408323032550473836011536876802637000412031314379892871858261227853316852080758137618459002884219200659250103<205>
prime factors 素因数
182146168440509557218132720805906822551352762700194046613145781709683<69>
5655228955783191532014202466857439384084961694204468443687718556871568146062444670838993991185110679093268981492565928121589117594125741<136>
factorization results 素因数分解の結果
N=1030078285949732179645653069633292130201895344046147507210548001648125257519571487433044911413267408323032550473836011536876802637000412031314379892871858261227853316852080758137618459002884219200659250103
  ( 205 digits)
SNFS difficulty: 207 digits.
Divisors found:
 r1=182146168440509557218132720805906822551352762700194046613145781709683 (pp69)
 r2=5655228955783191532014202466857439384084961694204468443687718556871568146062444670838993991185110679093268981492565928121589117594125741 (pp136)
Version: Msieve v. 1.52 (SVN 927)
Total time: 581.10 hours.
Scaled time: 4532.61 units (timescale=7.800).
Factorization parameters were as follows:
n: 1030078285949732179645653069633292130201895344046147507210548001648125257519571487433044911413267408323032550473836011536876802637000412031314379892871858261227853316852080758137618459002884219200659250103
m: 100000000000000000000000000000000000000000
deg: 5
c5: 250
c0: -19
skew: 0.60
# Murphy_E = 8.267e-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, 21900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3824770 x 3824998
Total sieving time: 577.48 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 3.30 hours.
Time per square root: 0.19 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: 581.10 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)
403e62200ebinaJanuary 13, 2022 07:26:21 UTC 2022 年 1 月 13 日 (木) 16 時 26 分 21 秒 (日本時間)
4511e64480Ignacio SantosApril 24, 2022 14:07:59 UTC 2022 年 4 月 24 日 (日) 23 時 7 分 59 秒 (日本時間)

10209-763

c200

name 名前Bob Backstrom
date 日付October 21, 2024 15:46:19 UTC 2024 年 10 月 22 日 (火) 0 時 46 分 19 秒 (日本時間)
composite number 合成数
57812482811626204068384202918521669787026051444817079812821958150371567417653362138934769067956471483191572153605704081104105386735667206151943770950217599363429989260221318070449371179521331188564221<200>
prime factors 素因数
385918534137503127747054359385761029437328158906121<51>
7824117170269624802149707021934484023435532408282111962964715443393059<70>
19146554788554918767673770259201596428285213107734030051296703168853772548915239<80>
factorization results 素因数分解の結果
10/20/24 04:25:05 v1.34.5 @ RYZEN-9,
10/20/24 04:25:05 v1.34.5 @ RYZEN-9, ****************************
10/20/24 04:25:05 v1.34.5 @ RYZEN-9, Starting factorization of 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999924
10/20/24 04:25:05 v1.34.5 @ RYZEN-9, using pretesting plan: normal
10/20/24 04:25:05 v1.34.5 @ RYZEN-9, no tune info: using qs/gnfs crossover of 125 digits
10/20/24 04:25:05 v1.34.5 @ RYZEN-9, ****************************
10/20/24 04:25:05 v1.34.5 @ RYZEN-9, div: found prime factor = 2
10/20/24 04:25:05 v1.34.5 @ RYZEN-9, div: found prime factor = 2
10/20/24 04:25:05 v1.34.5 @ RYZEN-9, div: found prime factor = 3
10/20/24 04:25:05 v1.34.5 @ RYZEN-9, div: found prime factor = 7
10/20/24 04:25:05 v1.34.5 @ RYZEN-9, div: found prime factor = 7
10/20/24 04:25:05 v1.34.5 @ RYZEN-9, div: found prime factor = 11
10/20/24 04:25:05 v1.34.5 @ RYZEN-9, div: found prime factor = 67
10/20/24 04:25:05 v1.34.5 @ RYZEN-9, rho: x^2 + 3, starting 1000 iterations on C202
10/20/24 04:25:05 v1.34.5 @ RYZEN-9, rho: x^2 + 2, starting 1000 iterations on C202
10/20/24 04:25:05 v1.34.5 @ RYZEN-9, prp8 = 82288519
10/20/24 04:25:05 v1.34.5 @ RYZEN-9, rho: x^2 + 2, starting 1000 iterations on C194
10/20/24 04:25:05 v1.34.5 @ RYZEN-9, rho: x^2 + 1, starting 1000 iterations on C194
10/20/24 04:25:05 v1.34.5 @ RYZEN-9, pm1: starting B1 = 150K, B2 = gmp-ecm default on C194
10/20/24 04:25:05 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 0.00
10/20/24 04:25:05 v1.34.5 @ RYZEN-9, scheduled 30 curves at B1=2000 toward target pretesting depth of 59.69
10/20/24 04:25:06 v1.34.5 @ RYZEN-9, Finished 30 curves using Lenstra ECM method on C194 input, B1=2K, B2=gmp-ecm default
10/20/24 04:25:06 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 15.18
10/20/24 04:25:06 v1.34.5 @ RYZEN-9, scheduled 74 curves at B1=11000 toward target pretesting depth of 59.69
10/20/24 04:25:08 v1.34.5 @ RYZEN-9, Finished 74 curves using Lenstra ECM method on C194 input, B1=11K, B2=gmp-ecm default
10/20/24 04:25:08 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 20.24
10/20/24 04:25:08 v1.34.5 @ RYZEN-9, scheduled 214 curves at B1=50000 toward target pretesting depth of 59.69
10/20/24 04:25:09 v1.34.5 @ RYZEN-9, prp25 = 2692122401575595793037621 (curve 6 stg2 B1=50000 sigma=2785172307 thread=0)
10/20/24 04:25:09 v1.34.5 @ RYZEN-9, Finished 6 curves using Lenstra ECM method on C194 input, B1=50K, B2=gmp-ecm default
10/20/24 04:25:09 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 20.38
10/20/24 04:25:09 v1.34.5 @ RYZEN-9, scheduled 208 curves at B1=50000 toward target pretesting depth of 52.31
10/20/24 04:26:27 v1.34.5 @ RYZEN-9,
10/20/24 04:26:27 v1.34.5 @ RYZEN-9, ****************************
10/20/24 04:26:27 v1.34.5 @ RYZEN-9, Starting factorization of 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999924
10/20/24 04:26:27 v1.34.5 @ RYZEN-9, using pretesting plan: normal
10/20/24 04:26:27 v1.34.5 @ RYZEN-9, no tune info: using qs/gnfs crossover of 125 digits
10/20/24 04:26:27 v1.34.5 @ RYZEN-9, ****************************
10/20/24 04:26:27 v1.34.5 @ RYZEN-9, nfs: commencing nfs on c200: 57812482811626204068384202918521669787026051444817079812821958150371567417653362138934769067956471483191572153605704081104105386735667206151943770950217599363429989260221318070449371179521331188564221
10/20/24 04:26:27 v1.34.5 @ RYZEN-9, nfs: continuing with sieving - could not determine last special q; using default startq
10/21/24 09:24:04 v1.34.5 @ RYZEN-9, nfs: previous data file found - commencing search for last special-q
10/21/24 09:24:06 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
10/21/24 09:24:06 v1.34.5 @ RYZEN-9, nfs: commencing nfs on c200: 57812482811626204068384202918521669787026051444817079812821958150371567417653362138934769067956471483191572153605704081104105386735667206151943770950217599363429989260221318070449371179521331188564221
10/21/24 09:24:06 v1.34.5 @ RYZEN-9, nfs: resuming with filtering
10/21/24 11:33:23 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
10/21/24 11:35:28 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 22157215
10/21/24 13:05:50 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
10/21/24 13:08:02 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 23281917
10/21/24 14:51:45 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
10/21/24 14:54:05 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 24553924
10/21/24 16:38:47 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
10/21/24 16:41:11 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 25811041
10/21/24 18:38:57 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
10/21/24 18:43:41 v1.34.5 @ RYZEN-9, nfs: commencing msieve linear algebra
10/21/24 23:03:36 v1.34.5 @ RYZEN-9, nfs: commencing msieve sqrt
10/21/24 23:21:13 v1.34.5 @ RYZEN-9, prp70 = 7824117170269624802149707021934484023435532408282111962964715443393059
10/21/24 23:21:13 v1.34.5 @ RYZEN-9, prp80 = 19146554788554918767673770259201596428285213107734030051296703168853772548915239
10/21/24 23:21:13 v1.34.5 @ RYZEN-9, prp51 = 385918534137503127747054359385761029437328158906121
10/21/24 23:21:13 v1.34.5 @ RYZEN-9, NFS elapsed time = 50229.4838 seconds.
10/21/24 23:21:13 v1.34.5 @ RYZEN-9,
10/21/24 23:21:13 v1.34.5 @ RYZEN-9,
software ソフトウェア
YAFU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
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)
403e62200ebinaJanuary 13, 2022 09:53:31 UTC 2022 年 1 月 13 日 (木) 18 時 53 分 31 秒 (日本時間)

10210-763

c204

composite cofactor 合成数の残り
870895036246651408585631625333988246400590815192589728315584492494626577626358160809026652871689292519708354670261721376292843681308154016045370147808305551781677065153399451684485179108273154486328689721<204>

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)
403e62200ebinaJanuary 13, 2022 11:51:08 UTC 2022 年 1 月 13 日 (木) 20 時 51 分 8 秒 (日本時間)

10211-763

c136

name 名前Eric Jeancolas
date 日付January 8, 2022 09:17:10 UTC 2022 年 1 月 8 日 (土) 18 時 17 分 10 秒 (日本時間)
composite number 合成数
1026728064250893252738992890747435546479829965003413938814002014348526612682360239533198786795027710891645221312099900786009941329663071<136>
prime factors 素因数
739640363279803667031199984409615310503862190178550509632817<60>
1388144989408163483814095859737357339989583962151781461253060071859784926863<76>
factorization results 素因数分解の結果
1026728064250893252738992890747435546479829965003413938814002014348526612682360239533198786795027710891645221312099900786009941329663071=739640363279803667031199984409615310503862190178550509632817*1388144989408163483814095859737357339989583962151781461253060071859784926863

cado polynomial
n: 1026728064250893252738992890747435546479829965003413938814002014348526612682360239533198786795027710891645221312099900786009941329663071
skew: 191823.775
c0: -12047268344763478162606114452960
c1: 404521413572899496488790792
c2: 2554772216702611987950
c3: -15272534717026391
c4: -26856525126
c5: 102960
Y0: -124741462119762627126614189
Y1: 4453744678677376681
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.219e-07
# f(x) = 102960*x^5-26856525126*x^4-15272534717026391*x^3+2554772216702611987950*x^2+404521413572899496488790792*x-12047268344763478162606114452960
# g(x) = 4453744678677376681*x-124741462119762627126614189

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: 739640363279803667031199984409615310503862190178550509632817 1388144989408163483814095859737357339989583962151781461253060071859784926863
Info:Square Root: Total cpu/real time for sqrt: 1386.34/404.714
Info:Quadratic Characters: Total cpu/real time for characters: 47.97/19.6385
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 75.72/88.0719
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 88.0s
Info:Linear Algebra: Total cpu/real time for bwc: 31180.8/8004.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 19845.4, WCT time 5081.07, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (44032 iterations)
Info:Linear Algebra: Lingen CPU time 274.85, WCT time 69.81
Info:Linear Algebra: Mksol: CPU time 10817.28,  WCT time 2763.51, iteration CPU time 0.12, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (22016 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 247.65/62.7915
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): 54485/40.180/48.521/53.070/0.965
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 44359/39.100/43.389/49.180/1.114
Info:Polynomial Selection (size optimized): Total time: 13655.7
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 192.73/163.459
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 151.39999999999998s
Info:Square Root: Total cpu/real time for sqrt: 1386.34/404.714
Info:Generate Factor Base: Total cpu/real time for makefb: 15.15/4.02406
Info:Filtering - Singleton removal: Total cpu/real time for purge: 83.98/95.0172
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 8350.93
Info:Polynomial Selection (root optimized): Rootsieve time: 8348.09
Info:Filtering - Merging: Merged matrix has 1406366 rows and total weight 239486657 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 366.59/101.901
Info:Filtering - Merging: Total cpu/real time for replay: 52.4/44.5955
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17019228
Info:Lattice Sieving: Average J: 3817.3 for 683674 special-q, max bucket fill -bkmult 1.0,1s:1.163790
Info:Lattice Sieving: Total time: 248215s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 524008/107212
739640363279803667031199984409615310503862190178550509632817 1388144989408163483814095859737357339989583962151781461253060071859784926863
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 13:28:41 UTC 2021 年 12 月 30 日 (木) 22 時 28 分 41 秒 (日本時間)

10212-763

c211

name 名前Ignacio Santos
date 日付July 9, 2022 14:22:09 UTC 2022 年 7 月 9 日 (土) 23 時 22 分 9 秒 (日本時間)
composite number 合成数
8333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333327<211>
prime factors 素因数
102290671423127181915289069732105592593652869<45>
81467187744445940377711939049781840647265729307138187512843413746554739261558217103464809474434407414324690600764299722562487954840418642243203393771971815900017650883<167>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1458673724
Step 1 took 36219ms
Step 2 took 15922ms
********** Factor found in step 2: 102290671423127181915289069732105592593652869
Found prime factor of 45 digits: 102290671423127181915289069732105592593652869
Prime cofactor 81467187744445940377711939049781840647265729307138187512843413746554739261558217103464809474434407414324690600764299722562487954840418642243203393771971815900017650883 has 167 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)
403e62200ebinaJanuary 13, 2022 13:14:25 UTC 2022 年 1 月 13 日 (木) 22 時 14 分 25 秒 (日本時間)

10213-763

c147

composite cofactor 合成数の残り
190017315040680960888430947196598861712865624166308822085662149538639604664639302326542598316583209231123843857794941338504964168983494969842187601<147>

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)
403e620801000Dmitry DomanovJanuary 18, 2022 23:20:56 UTC 2022 年 1 月 19 日 (水) 8 時 20 分 56 秒 (日本時間)
1080ebinaJanuary 22, 2022 23:55:25 UTC 2022 年 1 月 23 日 (日) 8 時 55 分 25 秒 (日本時間)
4511e61000 / 3975Dmitry DomanovFebruary 18, 2022 23:30:11 UTC 2022 年 2 月 19 日 (土) 8 時 30 分 11 秒 (日本時間)

10214-763

c159

composite cofactor 合成数の残り
668888397466300262394652899433688841426208751248851258925055455165344027218882691240402647034256382959431300362267114171024175449168673533631177232410986444531<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)
403e61000Dmitry DomanovJanuary 18, 2022 23:20:35 UTC 2022 年 1 月 19 日 (水) 8 時 20 分 35 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 15, 2022 12:12:57 UTC 2022 年 2 月 15 日 (火) 21 時 12 分 57 秒 (日本時間)

10215-763

c177

composite cofactor 合成数の残り
834998485248655118406958928084352264285048700751432980194896505715674651931693446401035022358551888115789890759155000934237069377877079617699540117180978175779625797190284649331<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 18, 2022 23:19:27 UTC 2022 年 1 月 19 日 (水) 8 時 19 分 27 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 15, 2022 12:13:08 UTC 2022 年 2 月 15 日 (火) 21 時 13 分 8 秒 (日本時間)

10219-763

c192

name 名前Erik Branger
date 日付April 27, 2023 19:50:29 UTC 2023 年 4 月 28 日 (金) 4 時 50 分 29 秒 (日本時間)
composite number 合成数
890373992879580487782000157887756210905141645530741290321665850971489999960482722904925272721046529517067363415568700233832158452551507110357474564990493998796603652944009095730308895283114393<192>
prime factors 素因数
4669305568756093040689000136097253936160493939761<49>
190686597775346896776792354453613849811008544421999356051760324642697584679347701379053821693237126861554654662570374956147132872638242503297513<144>
factorization results 素因数分解の結果
Number: 66616_219
N = 890373992879580487782000157887756210905141645530741290321665850971489999960482722904925272721046529517067363415568700233832158452551507110357474564990493998796603652944009095730308895283114393 (192 digits)
SNFS difficulty: 220 digits.
Divisors found:
r1=4669305568756093040689000136097253936160493939761 (pp49)
r2=190686597775346896776792354453613849811008544421999356051760324642697584679347701379053821693237126861554654662570374956147132872638242503297513 (pp144)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 50.61 hours.
Factorization parameters were as follows:
n: 890373992879580487782000157887756210905141645530741290321665850971489999960482722904925272721046529517067363415568700233832158452551507110357474564990493998796603652944009095730308895283114393
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 1
c0: -760
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 31162529
Relations: 7416434 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 12.97 hours.
Total relation processing time: 0.42 hours.
Pruned matrix : 6363908 x 6364133
Matrix solve time: 37.05 hours.
time per square root: 0.16 hours.
Prototype def-par.txt line would be: snfs,220,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 50.61 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
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 18, 2022 23:19:09 UTC 2022 年 1 月 19 日 (水) 8 時 19 分 9 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 15, 2022 12:13:17 UTC 2022 年 2 月 15 日 (火) 21 時 13 分 17 秒 (日本時間)

10222-763

c210

composite cofactor 合成数の残り
887018588754669033305976256923515542355179989461505505918763427807565411491364973155704441584993440815248477342646056655114626307429080404756300792105772854434047625895800444000619650564695860418121868715750747<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 18, 2022 23:19:00 UTC 2022 年 1 月 19 日 (水) 8 時 19 分 0 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 18, 2022 23:30:49 UTC 2022 年 2 月 19 日 (土) 8 時 30 分 49 秒 (日本時間)

10228-763

c224

composite cofactor 合成数の残り
11211265079151531458809812099197273420332750347549217453697475223104175075115476030315260774025741064621731916229427328579756939773083994797973003273689403112247185972465132965603838737163101484371496479662765146419121933719<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 18, 2022 23:16:59 UTC 2022 年 1 月 19 日 (水) 8 時 16 分 59 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 20, 2022 16:15:46 UTC 2022 年 2 月 21 日 (月) 1 時 15 分 46 秒 (日本時間)

10229-763

c184

composite cofactor 合成数の残り
2976991230142676773062787633536208295825381786274908610813589978816300818664189542837176950704326524128097350643242208376184080189329237095389373027381127125585556869444703443647020687<184>

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 18, 2022 20:32:29 UTC 2022 年 1 月 19 日 (水) 5 時 32 分 29 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 15, 2022 12:13:26 UTC 2022 年 2 月 15 日 (火) 21 時 13 分 26 秒 (日本時間)

10230-763

c192

composite cofactor 合成数の残り
837023586211987729606309570562181710417901238225396660147492238901116666302447092424849825177377840136074401237535136842886407364189692859845260534106303242707891375581120616695872304853158917<192>

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 18, 2022 20:42:02 UTC 2022 年 1 月 19 日 (水) 5 時 42 分 2 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 15, 2022 12:13:36 UTC 2022 年 2 月 15 日 (火) 21 時 13 分 36 秒 (日本時間)

10232-763

c231

composite cofactor 合成数の残り
833333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333327<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 18, 2022 23:16:46 UTC 2022 年 1 月 19 日 (水) 8 時 16 分 46 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 19, 2022 22:27:34 UTC 2022 年 2 月 20 日 (日) 7 時 27 分 34 秒 (日本時間)

10233-763

c173

composite cofactor 合成数の残り
51579194055761865973537539024092143072521030412784335880808901164795814762873827112629466034440205124799487822226340444997080985097221205238238090239781684631281705412327989<173>

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 18, 2022 20:41:53 UTC 2022 年 1 月 19 日 (水) 5 時 41 分 53 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 15, 2022 12:13:44 UTC 2022 年 2 月 15 日 (火) 21 時 13 分 44 秒 (日本時間)

10234-763

c198

composite cofactor 合成数の残り
520515331686779132599648786899782579352564786609088176286090590056055053655083541256131760449885110203439706646277068415318908294915455486085528801729926875830011082402579322074746897815776118261783<198>

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 18, 2022 16:02:21 UTC 2022 年 1 月 19 日 (水) 1 時 2 分 21 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 15, 2022 12:14:25 UTC 2022 年 2 月 15 日 (火) 21 時 14 分 25 秒 (日本時間)

10235-763

c202

composite cofactor 合成数の残り
2804870019292061516389904865586633643196852645746205772994234778285115592817383456317600489651903260024421124005127823270122265361169360841580462873009950181029838269495838675626192254698069144742534173<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 18, 2022 16:02:37 UTC 2022 年 1 月 19 日 (水) 1 時 2 分 37 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 18, 2022 23:30:43 UTC 2022 年 2 月 19 日 (土) 8 時 30 分 43 秒 (日本時間)

10236-763

c167

composite cofactor 合成数の残り
22579060282072735460090985092899526065502683145156031250135714167967542164667594010940318717843303129976170020317147461288043291020514366285379461268780441076667167099<167>

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 18, 2022 20:41:33 UTC 2022 年 1 月 19 日 (水) 5 時 41 分 33 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 15, 2022 12:14:34 UTC 2022 年 2 月 15 日 (火) 21 時 14 分 34 秒 (日本時間)

10237-763

c173

composite cofactor 合成数の残り
88822172971441006830007418979824151868753598373926682568352662844599745723817390820869236075992047110093192126695396611996999570075940361815808985637554052010307778068823463<173>

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 18, 2022 20:41:24 UTC 2022 年 1 月 19 日 (水) 5 時 41 分 24 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 15, 2022 12:14:45 UTC 2022 年 2 月 15 日 (火) 21 時 14 分 45 秒 (日本時間)

10241-763

c186

composite cofactor 合成数の残り
253133926001553285540445483532605846551636175396439256384315218004558468067043251821244466839181664128622440176241983814768722240040796204180904836202647855107733831832246352683678306871<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 18, 2022 20:32:01 UTC 2022 年 1 月 19 日 (水) 5 時 32 分 1 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 15, 2022 12:14:31 UTC 2022 年 2 月 15 日 (火) 21 時 14 分 31 秒 (日本時間)

10243-763

c219

composite cofactor 合成数の残り
106464183877918727646589334491339495951475054931355633462577495148631276411775515743381818606746909827394452879625129902831628910299507335820469511373095496348636297552724234973650319146864036383529449701277614972136927<219>

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 18, 2022 12:13:56 UTC 2022 年 1 月 18 日 (火) 21 時 13 分 56 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 18, 2022 23:31:45 UTC 2022 年 2 月 19 日 (土) 8 時 31 分 45 秒 (日本時間)

10244-763

c221

composite cofactor 合成数の残り
91646530893531478019866995141275578432162323512710548371803318315872439856708182244682402612020492541657213985444783643557996581250714286611960000418955292514028829879829420378380294729719456079690598830080602436375869521<221>

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 18, 2022 12:13:18 UTC 2022 年 1 月 18 日 (火) 21 時 13 分 18 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 20, 2022 16:15:56 UTC 2022 年 2 月 21 日 (月) 1 時 15 分 56 秒 (日本時間)

10246-763

c244

composite cofactor 合成数の残り
1412429378531073446327683615819209039548022598870056497175141242937853107344632768361581920903954802259887005649717514124293785310734463276836158192090395480225988700564971751412429378531073446327683615819209039548022598870056497175141242937853<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 18, 2022 12:13:06 UTC 2022 年 1 月 18 日 (火) 21 時 13 分 6 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 21, 2022 16:04:03 UTC 2022 年 2 月 22 日 (火) 1 時 4 分 3 秒 (日本時間)

10247-763

c226

composite cofactor 合成数の残り
1279526842686617637025761347859980121185051441390273899396596768103421454938055957501388154402361589168819378008714961765738762784671043282151264873824065088153518590916660928407866804642800708363683012867945738561205330169323<226>

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 18, 2022 12:13:25 UTC 2022 年 1 月 18 日 (火) 21 時 13 分 25 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 20, 2022 16:15:01 UTC 2022 年 2 月 21 日 (月) 1 時 15 分 1 秒 (日本時間)

10250-763

c247

name 名前Dmitry Domanov
date 日付February 22, 2022 19:01:13 UTC 2022 年 2 月 23 日 (水) 4 時 1 分 13 秒 (日本時間)
composite number 合成数
4230118443316412859560067681895093062605752961082910321489001692047377326565143824027072758037225042301184433164128595600676818950930626057529610829103214890016920473773265651438240270727580372250423011844331641285956006768189509306260575296108291<247>
prime factors 素因数
27240611953990521427933559254710410539319<41>
composite cofactor 合成数の残り
155287203182553171232124866191096355425951493561488285788179312390838337147983010383732999158847805095820451829007599549556913338960277695596183989954151704911357426548601444533954766144906260782999455383189<207>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2731551994
Step 1 took 53689ms
Step 2 took 16743ms
********** Factor found in step 2: 27240611953990521427933559254710410539319
Found probable prime factor of 41 digits: 27240611953990521427933559254710410539319
Composite cofactor 155287203182553171232124866191096355425951493561488285788179312390838337147983010383732999158847805095820451829007599549556913338960277695596183989954151704911357426548601444533954766144906260782999455383189 has 207 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 18, 2022 12:12:55 UTC 2022 年 1 月 18 日 (火) 21 時 12 分 55 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 21, 2022 16:04:22 UTC 2022 年 2 月 22 日 (火) 1 時 4 分 22 秒 (日本時間)

10251-763

c200

composite cofactor 合成数の残り
18347765898022800499145119578194730936047249878117962778690072941855549340030098252517727240122823362821625157543256975454088979108414638763877238774600677708013698837781624961289422349494920444490719<200>

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 18, 2022 12:13:34 UTC 2022 年 1 月 18 日 (火) 21 時 13 分 34 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 18, 2022 09:41:50 UTC 2022 年 2 月 18 日 (金) 18 時 41 分 50 秒 (日本時間)

10252-763

c244

composite cofactor 合成数の残り
7902114172716762340723801417595030746019950056741921028609983663801328459182877774870853377441038138036848696291819134008572150237649762053118453987395748593036473661953181996467881398622370701893912347157702777021018643837269170947795062019427<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 17, 2022 23:31:28 UTC 2022 年 1 月 18 日 (火) 8 時 31 分 28 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 21, 2022 16:07:10 UTC 2022 年 2 月 22 日 (火) 1 時 7 分 10 秒 (日本時間)

10253-763

c240

composite cofactor 合成数の残り
122237519085529151901364221617484273796947398029770428934566226172797237690162177434542608942318723911646930127675329106551817778386655620635924142396287181131318780332058248171646346682748343756453512900919901148828786532719757605067790959<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 18, 2022 05:27:33 UTC 2022 年 1 月 18 日 (火) 14 時 27 分 33 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 20, 2022 16:15:09 UTC 2022 年 2 月 21 日 (月) 1 時 15 分 9 秒 (日本時間)

10254-763

c240

composite cofactor 合成数の残り
339854829780241698532681456013514182903471063927634693043218373296882916980899436453506729526384268600291577641194519389751565905217289327316113240237324882749059649074698288860268212557874864325966122388932228804712022645160730124262969829<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 18, 2022 05:27:23 UTC 2022 年 1 月 18 日 (火) 14 時 27 分 23 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 20, 2022 16:15:01 UTC 2022 年 2 月 21 日 (月) 1 時 15 分 1 秒 (日本時間)

10255-763

c195

name 名前Dmitry Domanov
date 日付February 16, 2022 23:08:55 UTC 2022 年 2 月 17 日 (木) 8 時 8 分 55 秒 (日本時間)
composite number 合成数
226011280770837446400565411051348181597455640685803799583247444313347007070586363204130780684080051251236043356317580354495605895777091542360711472000801111417667950841585590164317413600830009131<195>
prime factors 素因数
957362035912653520312091092499612402771<39>
4463335765980101815341070870044121464632723<43>
52892531795338728581440111309704046108413985647873812412485940533791161938823465079412482117448490531589586166707<113>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=972159581
Step 1 took 34838ms
Step 2 took 11193ms
********** Factor found in step 2: 4463335765980101815341070870044121464632723
Found probable prime factor of 43 digits: 4463335765980101815341070870044121464632723
Composite cofactor 50637301924160244050275266459338454297862203637048184406859516226436827560972597085183202088463954385464518859294623958596414979550197896834027634745097 has 152 digits

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2084510422
Step 1 took 26893ms
Step 2 took 9685ms
********** Factor found in step 2: 957362035912653520312091092499612402771
Found probable prime factor of 39 digits: 957362035912653520312091092499612402771
Probable prime cofactor 52892531795338728581440111309704046108413985647873812412485940533791161938823465079412482117448490531589586166707 has 113 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 18, 2022 08:36:51 UTC 2022 年 1 月 18 日 (火) 17 時 36 分 51 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 15, 2022 12:14:39 UTC 2022 年 2 月 15 日 (火) 21 時 14 分 39 秒 (日本時間)

10256-763

c239

composite cofactor 合成数の残り
29983213224453207967993098582329196149615259819340705782538503700620004464562669503923447954994771372967179564392333812632976999881695055374938983291513257311025843688302669022455735017700942371601414289699529989882322635040413279650533523<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 18, 2022 12:07:23 UTC 2022 年 1 月 18 日 (火) 21 時 7 分 23 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 20, 2022 16:16:48 UTC 2022 年 2 月 21 日 (月) 1 時 16 分 48 秒 (日本時間)

10257-763

c230

composite cofactor 合成数の残り
37969665557216228726477597610548655739459464167803836403950460012368454867916477676427840587357898794390652782207274859810181210426782573017891770061464849277378465020702941716521188817811096871191262799606853943829887806346672011<230>

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 18, 2022 12:12:19 UTC 2022 年 1 月 18 日 (火) 21 時 12 分 19 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 20, 2022 16:17:56 UTC 2022 年 2 月 21 日 (月) 1 時 17 分 56 秒 (日本時間)

10259-763

c245

composite cofactor 合成数の残り
36761150984128456246631957985400181351015820840073044855862645829264984803692873830047281149322095116221123779651817914130011631931447928408690375209047663141246739626919639159846294033392692646777093285153692801922939854703593013326946672241129<245>

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 17, 2022 16:27:51 UTC 2022 年 1 月 18 日 (火) 1 時 27 分 51 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 21, 2022 16:08:27 UTC 2022 年 2 月 22 日 (火) 1 時 8 分 27 秒 (日本時間)

10261-763

c248

composite cofactor 合成数の残り
21385714062634265052720785128515878839776705322341307357420568071840924095169297781411853929483485782576233669380733785208602839348997080756444769284751498463859373314202089343038096677733074426567764503767090912767995969466714113040867946744794589<248>

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 17, 2022 16:27:45 UTC 2022 年 1 月 18 日 (火) 1 時 27 分 45 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 21, 2022 16:05:10 UTC 2022 年 2 月 22 日 (火) 1 時 5 分 10 秒 (日本時間)

10262-763

c231

composite cofactor 合成数の残り
184967204932564064582316680420529685737471159432236237672903535144160019899374169946058617988259364633793785580991283924633532906577197125987368729136488064340221355980504138240604080399244212320545312546686085516650382202616995957<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)
403e6602Marlon TrifunovicFebruary 19, 2022 16:28:51 UTC 2022 年 2 月 20 日 (日) 1 時 28 分 51 秒 (日本時間)
4511e61300 / 4301Dmitry DomanovFebruary 20, 2022 16:17:44 UTC 2022 年 2 月 21 日 (月) 1 時 17 分 44 秒 (日本時間)

10264-763

c213

composite cofactor 合成数の残り
535286657836607758046269720102475537748379059854257801144443009833820930109598443783784379125900415869967836092527217581633729552643503741251463914622450899924959637125439191421158362321797149541512576176468439309<213>

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 17, 2022 16:23:34 UTC 2022 年 1 月 18 日 (火) 1 時 23 分 34 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 18, 2022 23:31:57 UTC 2022 年 2 月 19 日 (土) 8 時 31 分 57 秒 (日本時間)

10265-763

c258

name 名前Dmitry Domanov
date 日付February 23, 2022 23:36:26 UTC 2022 年 2 月 24 日 (木) 8 時 36 分 26 秒 (日本時間)
composite number 合成数
116757225906224052166007665532206756871431286200869785289532934201091717424535484879448864795179103482910081383989716770788425585319151907268982634978008309471659074878323792166346728516238431518921372461575313711487570656219043281016288520368835142579954531<258>
prime factors 素因数
7452197431589534718757089918440504257123<40>
15667489620081097805687420194378604815020068386794086090733164771351544958743554676730693799368780450388826542373582184206506158519445563463335174941508218630444292053151019894291530719424628124933872419215458789143297<218>
factorization results 素因数分解の結果
Resuming ECM residue saved by @3ca80b1f5e32 with GMP-ECM 7.0.5-dev on Wed Feb 23 16:56:10 2022 
Input number is 116757225906224052166007665532206756871431286200869785289532934201091717424535484879448864795179103482910081383989716770788425585319151907268982634978008309471659074878323792166346728516238431518921372461575313711487570656219043281016288520368835142579954531 (258 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:130308997
Step 1 took 0ms
Step 2 took 21659ms
********** Factor found in step 2: 7452197431589534718757089918440504257123
Found prime factor of 40 digits: 7452197431589534718757089918440504257123
Prime cofactor 15667489620081097805687420194378604815020068386794086090733164771351544958743554676730693799368780450388826542373582184206506158519445563463335174941508218630444292053151019894291530719424628124933872419215458789143297 has 218 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 2, 2022 15:11:17 UTC 2022 年 1 月 3 日 (月) 0 時 11 分 17 秒 (日本時間)
4511e61800 / 4213Dmitry DomanovFebruary 23, 2022 16:28:23 UTC 2022 年 2 月 24 日 (木) 1 時 28 分 23 秒 (日本時間)

10267-763

c265

name 名前Dmitry Domanov
date 日付January 3, 2022 23:14:32 UTC 2022 年 1 月 4 日 (火) 8 時 14 分 32 秒 (日本時間)
composite number 合成数
1082251082251082251082251082251082251082251082251082251082251082251082251082251082251082251082251082251082251082251082251082251082251082251082251082251082251082251082251082251082251082251082251082251082251082251082251082251082251082251082251082251082251082251082251<265>
prime factors 素因数
8461374351835635031887300577017187729<37>
composite cofactor 合成数の残り
127904881317098985247851218240875667365891355077423281237003028098453750327488166890750984372542792367602903020762763063193232946818532784681604058995295491500562626370915292993882915192317412830416045063620419049697750678982619<228>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:846108466
Step 1 took 19697ms
Step 2 took 7856ms
********** Factor found in step 2: 8461374351835635031887300577017187729
Found prime factor of 37 digits: 8461374351835635031887300577017187729
Composite cofactor 127904881317098985247851218240875667365891355077423281237003028098453750327488166890750984372542792367602903020762763063193232946818532784681604058995295491500562626370915292993882915192317412830416045063620419049697750678982619 has 228 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 2, 2022 15:10:37 UTC 2022 年 1 月 3 日 (月) 0 時 10 分 37 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 20, 2022 16:17:47 UTC 2022 年 2 月 21 日 (月) 1 時 17 分 47 秒 (日本時間)

10268-763

c248

composite cofactor 合成数の残り
16887776202817325871774221384661250962334241224443459349108612026141854681146833117051370557710707799222106218624490725717991437071973767140948166497242501344476368798765276546931012916095111871866566776451653172706849334214254109980609436999315429<248>

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 17, 2022 16:23:40 UTC 2022 年 1 月 18 日 (火) 1 時 23 分 40 秒 (日本時間)
2350Ignacio SantosSeptember 13, 2023 06:48:41 UTC 2023 年 9 月 13 日 (水) 15 時 48 分 41 秒 (日本時間)

10269-763

c223

name 名前Dmitry Domanov
date 日付February 22, 2022 06:28:58 UTC 2022 年 2 月 22 日 (火) 15 時 28 分 58 秒 (日本時間)
composite number 合成数
5737746100733098975567579098637732205917579681253447535983218377398621302834285547809919359201649155457833034030864935130262078119146016862446692827181927567451461431004481161875878051309065603914052252599194932327096400401<223>
prime factors 素因数
583794857189173266532394921881827976547<39>
composite cofactor 合成数の残り
9828360133830086112584879441618420778254570582800313924713878953110531872221115665828971050707498991241487437338793255838645466318953983176765493559450202675081935415396783728857401083<184>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2873408454
Step 1 took 60836ms
Step 2 took 19024ms
********** Factor found in step 2: 583794857189173266532394921881827976547
Found probable prime factor of 39 digits: 583794857189173266532394921881827976547
Composite cofactor 9828360133830086112584879441618420778254570582800313924713878953110531872221115665828971050707498991241487437338793255838645466318953983176765493559450202675081935415396783728857401083 has 184 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 17, 2022 16:23:45 UTC 2022 年 1 月 18 日 (火) 1 時 23 分 45 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 20, 2022 16:18:08 UTC 2022 年 2 月 21 日 (月) 1 時 18 分 8 秒 (日本時間)

10270-763

c214

composite cofactor 合成数の残り
6078985590222196022903903356797710526874096162996591157059812240198214521234154943720193711336333437889729835219594136066134203428757464771652053869111201393775690569156119971619350720096858129418745296251482747729<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 17, 2022 16:23:52 UTC 2022 年 1 月 18 日 (火) 1 時 23 分 52 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 18, 2022 23:31:57 UTC 2022 年 2 月 19 日 (土) 8 時 31 分 57 秒 (日本時間)

10271-763

c261

composite cofactor 合成数の残り
505031492298258328739834546079293652030030414505500300103752599110990518748654680697292399770507144691531229992678714005851776871823870454528672348965474330281429843488330526488496634780527679573006846586087239607436750414974428101080593036445871772797831788131<261>

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 2, 2022 11:39:08 UTC 2022 年 1 月 2 日 (日) 20 時 39 分 8 秒 (日本時間)
4511e61800 / 4213Dmitry DomanovFebruary 23, 2022 16:28:24 UTC 2022 年 2 月 24 日 (木) 1 時 28 分 24 秒 (日本時間)

10274-763

c247

composite cofactor 合成数の残り
2830663699605016809024331730921525849081747773677938595009229184594243491680000569243514291497111177936529665285770109169003816998607382081511106566947800519294693727180361917283744487800963326493074892050106564966950267332393543824074287562764787<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 17, 2022 11:06:15 UTC 2022 年 1 月 17 日 (月) 20 時 6 分 15 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 21, 2022 16:05:17 UTC 2022 年 2 月 22 日 (火) 1 時 5 分 17 秒 (日本時間)

10275-763

c240

composite cofactor 合成数の残り
315145725202536001512781541205970373437886033652667800948439994167050104103099765669824395580615218952922107602013010849834547196156368174772607370529918488676996116313757080112404175608130225512158039936755376442394658936651748085912009133<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 17, 2022 11:06:05 UTC 2022 年 1 月 17 日 (月) 20 時 6 分 5 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 20, 2022 16:18:20 UTC 2022 年 2 月 21 日 (月) 1 時 18 分 20 秒 (日本時間)

10276-763

c270

composite cofactor 合成数の残り
827548767448865761659334584587069716018364962247225228982743953101156251137879555242190422281585053807220859525251823089934689851272935514089845314584388458011830637179448984928681847221256748660198545500286331873537307553534129766267126121742354276937539929228029407773<270>

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 2, 2022 11:39:15 UTC 2022 年 1 月 2 日 (日) 20 時 39 分 15 秒 (日本時間)
4511e61800 / 4213Dmitry DomanovFebruary 23, 2022 16:28:45 UTC 2022 年 2 月 24 日 (木) 1 時 28 分 45 秒 (日本時間)

10277-763

c250

composite cofactor 合成数の残り
2601237020542344032467533304024714917151220888036387953991371154062071579055672967248201798634815073175107078355679820391177709439303427207316981809232312910797674095646583229546298850137510125851918276438243572212324782235102227591173852414175381591<250>

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 2, 2022 11:39:21 UTC 2022 年 1 月 2 日 (日) 20 時 39 分 21 秒 (日本時間)
4511e61800 / 4213Dmitry DomanovFebruary 23, 2022 16:28:45 UTC 2022 年 2 月 24 日 (木) 1 時 28 分 45 秒 (日本時間)

10279-763

c266

composite cofactor 合成数の残り
10469624009635334397621381789643733204702259778685230590826566195298493409843462917806427337569248110026742303018626606069087150315572553860973954924741264811651161243046087014186518115509928356274259109196817783846760467162939419386745928144068305668786100935186593<266>

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 2, 2022 11:39:35 UTC 2022 年 1 月 2 日 (日) 20 時 39 分 35 秒 (日本時間)
4511e61800 / 4213Dmitry DomanovFebruary 23, 2022 16:28:24 UTC 2022 年 2 月 24 日 (木) 1 時 28 分 24 秒 (日本時間)

10280-763

c270

name 名前Seth Troisi
date 日付January 5, 2024 09:17:40 UTC 2024 年 1 月 5 日 (金) 18 時 17 分 40 秒 (日本時間)
composite number 合成数
186417719200888194888629245345069447859881151973584099746891110597022244288601980232467729282131019655237741324374908441915907509567743472911452307202298220636584222030725838102208603159084435652569219695218660080884183173346675216687022322085190228023932772984442204041<270>
prime factors 素因数
66643489775930848668522212220719661458332359799<47>
composite cofactor 合成数の残り
2797238257295093598379718316362107007026322327899911370296843348183500562668554934912315443603728295889652607704103800096815570200223679762178007694396957894113774814291363069590379619569193004344682277821691441131402204159<223>
factorization results 素因数分解の結果
GMP-ECM 7.0.6-dev [configured with GMP 6.3.0, --enable-asm-redc, --enable-assert] [ECM]
Tuned for x86_64/params.h
Running on sethtroisi-linux.sea.corp.google.com
Resuming P-1 residue saved by five@five with GMP-ECM 7.0.6-dev on Fri Dec  1 15:04:48 2023
Input number is 186417719200888194888629245345069447859881151973584099746891110597022244288601980232467729282131019655237741324374908441915907509567743472911452307202298220636584222030725838102208603159084435652569219695218660080884183173346675216687022322085190228023932772984442204041 (270 digits)
[Sat Dec 30 21:03:04 2023]
Using mpz_mod
Using lmax = 16777216 with NTT which takes about 6336MB of memory
Using B1=10000000000-10000000000, B2=10120522433628702, polynomial x^1
P = 596530935, l = 16777216, s_1 = 8294400, k = s_2 = 24, m_1 = 3
Probability of finding a factor of n digits (assuming one exists):
20      25      30      35      40      45      50      55      60      65
0.82    0.55    0.3     0.14    0.056   0.02    0.0064  0.0019  0.00052 0.00013
Step 1 took 0ms
Computing F from factored S_1 took 61061ms
Computing h took 8751ms
Computing DCT-I of h took 17156ms
Multi-point evaluation 1 of 24:
Computing g_i took 28790ms
Computing g*h took 34063ms
Computing gcd of coefficients and N took 9248ms
Multi-point evaluation 2 of 24:
Computing g_i took 28898ms
Computing g*h took 33794ms
Computing gcd of coefficients and N took 9325ms
Multi-point evaluation 3 of 24:
Computing g_i took 28661ms
Computing g*h took 34122ms
Computing gcd of coefficients and N took 9252ms
Step 2 took 303700ms
********** Factor found in step 2: 66643489775930848668522212220719661458332359799
Found prime factor of 47 digits: 66643489775930848668522212220719661458332359799
Composite cofactor 2797238257295093598379718316362107007026322327899911370296843348183500562668554934912315443603728295889652607704103800096815570200223679762178007694396957894113774814291363069590379619569193004344682277821691441131402204159 has 223 digits
Peak memory usage: 6388MB
software ソフトウェア
GMP-ECM 7.0.6, ecm-db 0.1
execution environment 実行環境
1080 Ti for PM1 stage1

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 2, 2022 11:39:29 UTC 2022 年 1 月 2 日 (日) 20 時 39 分 29 秒 (日本時間)
4511e61800 / 4213Dmitry DomanovFebruary 23, 2022 16:28:32 UTC 2022 年 2 月 24 日 (木) 1 時 28 分 32 秒 (日本時間)

10281-763

c241

composite cofactor 合成数の残り
8086963272220940271585823723578737987620807495138428603977239004604409019051491725901637350436296429147797817956843966555360179242283729875822804947503700671887504708414669979715737915689705684493373154142729655115349772739673596624416326411<241>

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 17, 2022 11:05:44 UTC 2022 年 1 月 17 日 (月) 20 時 5 分 44 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 21, 2022 16:05:57 UTC 2022 年 2 月 22 日 (火) 1 時 5 分 57 秒 (日本時間)

10284-763

c283

composite cofactor 合成数の残り
8333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333327<283>

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 2, 2022 11:38:14 UTC 2022 年 1 月 2 日 (日) 20 時 38 分 14 秒 (日本時間)
4511e61800 / 4213Dmitry DomanovFebruary 23, 2022 16:28:51 UTC 2022 年 2 月 24 日 (木) 1 時 28 分 51 秒 (日本時間)

10285-763

c255

composite cofactor 合成数の残り
333590126234445510069991919910924635384393050391652624524575030735340248555252222885535474416618995656236540111482103807902570040754709488144031759032147170776621893325746362273579820452164123761758942248255119046998632559745766744246833525710146478079347<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 DomanovJanuary 2, 2022 11:27:36 UTC 2022 年 1 月 2 日 (日) 20 時 27 分 36 秒 (日本時間)
4511e61800 / 4213Dmitry DomanovFebruary 23, 2022 16:29:10 UTC 2022 年 2 月 24 日 (木) 1 時 29 分 10 秒 (日本時間)

10286-763

c245

composite cofactor 合成数の残り
31694807300029058606774607403906036475942324555921415565109343220600163256802398661042691217964388392353008819098767435334561135246996266153191236334088161345940010975271900218555923126761505945385731024957576456125836269243890259482492994238451<245>

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 17, 2022 11:05:31 UTC 2022 年 1 月 17 日 (月) 20 時 5 分 31 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 21, 2022 16:08:44 UTC 2022 年 2 月 22 日 (火) 1 時 8 分 44 秒 (日本時間)

10287-763

c274

composite cofactor 合成数の残り
5748575255472112393628477015728190725726604053829334966514037776961954989733836077113136534019076956961798674627251666177392755663857069214808951969002285922077749064596517046523721227366697949231506822086443480754742010219446272502663970186181023003757232042313482692952037<274>

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 2, 2022 11:27:44 UTC 2022 年 1 月 2 日 (日) 20 時 27 分 44 秒 (日本時間)
4511e61800 / 4213Dmitry DomanovFebruary 23, 2022 16:29:10 UTC 2022 年 2 月 24 日 (木) 1 時 29 分 10 秒 (日本時間)

10288-763

c261

name 名前Dmitry Domanov
date 日付January 3, 2022 17:09:24 UTC 2022 年 1 月 4 日 (火) 2 時 9 分 24 秒 (日本時間)
composite number 合成数
170488991420757182699007400883925487266063990924695757270619886484496380398398480908036283027121498991944484415660543733297042360903137546093864039465971648149430929771859549484268136026797323344132888582183127092309584156744357945009234426844543680777709415331<261>
prime factors 素因数
3211099604658171546082608424645872626893<40>
composite cofactor 合成数の残り
53093647787641922815748836624200674476909733288225146718371730936442215202610338471781303682979156777770328361353911696906254828862763557743527114189357764512563456197202561701868023465259991127214504458941570216383019567<221>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4157575321
Step 1 took 18533ms
Step 2 took 6051ms
********** Factor found in step 2: 3211099604658171546082608424645872626893
Found probable prime factor of 40 digits: 3211099604658171546082608424645872626893
Composite cofactor 53093647787641922815748836624200674476909733288225146718371730936442215202610338471781303682979156777770328361353911696906254828862763557743527114189357764512563456197202561701868023465259991127214504458941570216383019567 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 DomanovJanuary 2, 2022 11:27:52 UTC 2022 年 1 月 2 日 (日) 20 時 27 分 52 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 20, 2022 16:18:30 UTC 2022 年 2 月 21 日 (月) 1 時 18 分 30 秒 (日本時間)

10289-763

c224

composite cofactor 合成数の残り
25809378983256838727254494170271621315070023668105161985576588874543089620884760812141243965567665733403845826996061814700785282354025359065650670206724881786437787966156136835076812507780814565147315749759677374511475650003<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 17, 2022 09:05:23 UTC 2022 年 1 月 17 日 (月) 18 時 5 分 23 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 20, 2022 16:18:41 UTC 2022 年 2 月 21 日 (月) 1 時 18 分 41 秒 (日本時間)

10291-763

c282

composite cofactor 合成数の残り
115585858419569064212299164872430853995448669971073099326868693020936826165798078008663750963454942199768075680519520373484502547932820920232567494677938150181925506524128423805873099537142486657816867780812718744589960551975162611144257975959046717172776708752684433593663247395169<282>

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)
403e61800Dmitry DomanovJanuary 1, 2022 00:13:34 UTC 2022 年 1 月 1 日 (土) 9 時 13 分 34 秒 (日本時間)
4511e61800 / 4036Dmitry DomanovFebruary 23, 2022 16:29:31 UTC 2022 年 2 月 24 日 (木) 1 時 29 分 31 秒 (日本時間)

10293-763

c235

composite cofactor 合成数の残り
5824311322296757583553226991759836280741902629326511040102870776526890659898157933692418362376658766620622766147166948487899912373195702773736313095381812881174164090431374884000904356226492260021219166312655919788206352065954457266453<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 17, 2022 11:05:07 UTC 2022 年 1 月 17 日 (月) 20 時 5 分 7 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 20, 2022 16:18:52 UTC 2022 年 2 月 21 日 (月) 1 時 18 分 52 秒 (日本時間)

10294-763

c249

composite cofactor 合成数の残り
426458834647295824843159117359815342180971574421519190799511466429993004817331285126494512681657202580329727590122127932778323649487817479105937475582972521667817544668155876963420448881415545710498253607472600698509148121711387394493024029729661669<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 17, 2022 11:04:46 UTC 2022 年 1 月 17 日 (月) 20 時 4 分 46 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 21, 2022 16:05:56 UTC 2022 年 2 月 22 日 (火) 1 時 5 分 56 秒 (日本時間)

10295-763

c263

composite cofactor 合成数の残り
97142813934455549739703862601662394817068143324025747269315170418486938281142017718233839503660967106563656657450016757700967248982671760072473379064570674387043020232089277001986799072090565856468315713452956906068619618015374874626699947614281752947686130286781<263>

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 2, 2022 11:28:22 UTC 2022 年 1 月 2 日 (日) 20 時 28 分 22 秒 (日本時間)
4511e61800 / 4213Dmitry DomanovFebruary 23, 2022 16:29:31 UTC 2022 年 2 月 24 日 (木) 1 時 29 分 31 秒 (日本時間)

10297-763

c259

composite cofactor 合成数の残り
2117969860143380449803263443646428634922295858007589087681755737428153567363935828357883479333413330916176245136135527538943386519316731048647790362607124772086817800549791274768608129687058119770476703365360655854321808983684310048577044067789621532188147871<259>

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 2, 2022 11:28:29 UTC 2022 年 1 月 2 日 (日) 20 時 28 分 29 秒 (日本時間)
4511e61800 / 4213Dmitry DomanovFebruary 23, 2022 16:29:40 UTC 2022 年 2 月 24 日 (木) 1 時 29 分 40 秒 (日本時間)

10299-763

c270

composite cofactor 合成数の残り
230258430394072658034025664915025641034556487494791663765517564677897618317501298139037302592853097066367566255491851299106704103155356567452779664356302998672413624931119815637158642552618676303546739933196032662614193292974181010451889983615739238784221928304840083249<270>

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 2, 2022 11:28:36 UTC 2022 年 1 月 2 日 (日) 20 時 28 分 36 秒 (日本時間)
4511e61800 / 4213Dmitry DomanovFebruary 21, 2022 08:50:15 UTC 2022 年 2 月 21 日 (月) 17 時 50 分 15 秒 (日本時間)