Table of contents 目次

10135-379

c124

name 名前Ignacio Santos
date 日付December 28, 2021 23:00:47 UTC 2021 年 12 月 29 日 (水) 8 時 0 分 47 秒 (日本時間)
composite number 合成数
4952973756222532415190402847130203513829760016392669424204879576126492283070871392405112301754996383266324084072324792692289<124>
prime factors 素因数
72629332794916955740021858960907351622967<41>
68195225890456916970477836895914317983390111085833997339532945133152011512818410567<83>
factorization results 素因数分解の結果
N=4952973756222532415190402847130203513829760016392669424204879576126492283070871392405112301754996383266324084072324792692289
  ( 124 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=72629332794916955740021858960907351622967 (pp41)
 r2=68195225890456916970477836895914317983390111085833997339532945133152011512818410567 (pp83)
Version: Msieve v. 1.52 (SVN 927)
Total time: 3.09 hours.
Scaled time: 24.26 units (timescale=7.862).
Factorization parameters were as follows:
n: 4952973756222532415190402847130203513829760016392669424204879576126492283070871392405112301754996383266324084072324792692289
m: 5000000000000000000000000000000000
deg: 4
c4: 8
c0: -185
skew: 2.19
# Murphy_E = 7.317e-09
type: snfs
lss: 1
rlim: 1280000
alim: 1280000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1280000/1280000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [640000, 1440001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 183829 x 184057
Total sieving time: 3.06 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,135.000,4,0,0,0,0,0,0,0,0,1280000,1280000,26,26,47,47,2.3,2.3,100000
total time: 3.09 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)

10138-379

c138

name 名前ebina
date 日付December 29, 2021 03:35:33 UTC 2021 年 12 月 29 日 (水) 12 時 35 分 33 秒 (日本時間)
composite number 合成数
111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111107<138>
prime factors 素因数
38821001133248936930118796068584565036682633759114277730905189513251<68>
2862139251116530935249893158314747444259951800185485710658417132005857<70>
factorization results 素因数分解の結果
 38821001133248936930118796068584565036682633759114277730905189513251 * 2862139251116530935249893158314747444259951800185485710658417132005857

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)

10143-379

c125

name 名前Ignacio Santos
date 日付December 29, 2021 14:30:42 UTC 2021 年 12 月 29 日 (水) 23 時 30 分 42 秒 (日本時間)
composite number 合成数
99540217074015354042026133720474101818831233218991551158720027785333257685766790385515705079030620687265098280958023811168193<125>
prime factors 素因数
35526238457460369156722660431103778940158911959277<50>
2801878875896367331155379216183824058183360572009850645845729264636954291109<76>
factorization results 素因数分解の結果
N=99540217074015354042026133720474101818831233218991551158720027785333257685766790385515705079030620687265098280958023811168193
  ( 125 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=35526238457460369156722660431103778940158911959277 (pp50)
 r2=2801878875896367331155379216183824058183360572009850645845729264636954291109 (pp76)
Version: Msieve v. 1.52 (SVN 927)
Total time: 6.75 hours.
Scaled time: 53.42 units (timescale=7.918).
Factorization parameters were as follows:
n: 99540217074015354042026133720474101818831233218991551158720027785333257685766790385515705079030620687265098280958023811168193
m: 500000000000000000000000000000000000
deg: 4
c4: 8
c0: -185
skew: 2.19
# Murphy_E = 2.918e-09
type: snfs
lss: 1
rlim: 1740000
alim: 1740000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1740000/1740000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [870000, 1570001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 268306 x 268531
Total sieving time: 6.70 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,143.000,4,0,0,0,0,0,0,0,0,1740000,1740000,26,26,48,48,2.3,2.3,100000
total time: 6.75 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)

10146-379

c136

name 名前Ignacio Santos
date 日付December 29, 2021 17:48:29 UTC 2021 年 12 月 30 日 (木) 2 時 48 分 29 秒 (日本時間)
composite number 合成数
6607601990414317300823559928958951312076420165844888226495554939506356142461344920952263274954064296209843665272753579404883658583650783<136>
prime factors 素因数
9064740705222566146810956136400543893<37>
728934473173337302189461355541199676038907403264808809188496832119152942450867812308787952016205731<99>
factorization results 素因数分解の結果
N=6607601990414317300823559928958951312076420165844888226495554939506356142461344920952263274954064296209843665272753579404883658583650783
  ( 136 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=9064740705222566146810956136400543893 (pp37)
 r2=728934473173337302189461355541199676038907403264808809188496832119152942450867812308787952016205731 (pp99)
Version: Msieve v. 1.52 (SVN 927)
Total time: 8.67 hours.
Scaled time: 67.39 units (timescale=7.770).
Factorization parameters were as follows:
n: 6607601990414317300823559928958951312076420165844888226495554939506356142461344920952263274954064296209843665272753579404883658583650783
m: 1000000000000000000000000000000000000
deg: 4
c4: 100
c0: -37
skew: 0.78
# Murphy_E = 2.141e-09
type: snfs
lss: 1
rlim: 1900000
alim: 1900000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1900000/1900000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [950000, 1850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 295978 x 296204
Total sieving time: 8.61 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,146.000,4,0,0,0,0,0,0,0,0,1900000,1900000,26,26,49,49,2.3,2.3,100000
total time: 8.67 hours.
software ソフトウェア
GNFS, Msieve

ECM

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

10149-379

c140

name 名前Ignacio Santos
date 日付December 29, 2021 22:52:57 UTC 2021 年 12 月 30 日 (木) 7 時 52 分 57 秒 (日本時間)
composite number 合成数
34745135444683960383083727772184835952679278332932598576425298642057018004886450918631309242716538561022203330180236613323075207340753196617<140>
prime factors 素因数
26110959825989268751087022029748630947829011623505073206847<59>
1330672471492248856428421616645983646150240998630089855471657986944530631160897911<82>
factorization results 素因数分解の結果
N=34745135444683960383083727772184835952679278332932598576425298642057018004886450918631309242716538561022203330180236613323075207340753196617
  ( 140 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=26110959825989268751087022029748630947829011623505073206847 (pp59)
 r2=1330672471492248856428421616645983646150240998630089855471657986944530631160897911 (pp82)
Version: Msieve v. 1.52 (SVN 927)
Total time: 10.69 hours.
Scaled time: 84.22 units (timescale=7.880).
Factorization parameters were as follows:
n: 34745135444683960383083727772184835952679278332932598576425298642057018004886450918631309242716538561022203330180236613323075207340753196617
m: 10000000000000000000000000000000000000
deg: 4
c4: 10
c0: -37
skew: 1.39
# Murphy_E = 1.684e-09
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1050000, 2150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 320059 x 320285
Total sieving time: 10.64 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,149.000,4,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
total time: 10.69 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)

10151-379

c134

name 名前Ignacio Santos
date 日付December 30, 2021 19:11:21 UTC 2021 年 12 月 31 日 (金) 4 時 11 分 21 秒 (日本時間)
composite number 合成数
13831171015616648236524535018685296837783152172231148483241720331357068599460704512157132154600322432900412755184836853620883515891403<134>
prime factors 素因数
8913825143361076045913014742741388375011<40>
1551653840317695718482962065133330742712083775050581129940018664493695205138088459287501319673<94>
factorization results 素因数分解の結果
N=13831171015616648236524535018685296837783152172231148483241720331357068599460704512157132154600322432900412755184836853620883515891403
  ( 134 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=8913825143361076045913014742741388375011 (pp40)
 r2=1551653840317695718482962065133330742712083775050581129940018664493695205138088459287501319673 (pp94)
Version: Msieve v. 1.52 (SVN 927)
Total time: 8.49 hours.
Scaled time: 66.61 units (timescale=7.843).
Factorization parameters were as follows:
n: 13831171015616648236524535018685296837783152172231148483241720331357068599460704512157132154600322432900412755184836853620883515891403
m: 1000000000000000000000000000000
deg: 5
c5: 10
c0: -37
skew: 1.30
# Murphy_E = 1.308e-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, 1850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 359363 x 359591
Total sieving time: 8.43 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 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: 8.49 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)

10153-379

c122

name 名前ebina
date 日付December 30, 2021 01:03:54 UTC 2021 年 12 月 30 日 (木) 10 時 3 分 54 秒 (日本時間)
composite number 合成数
19395522538765530746148021437137136725665493649234377129806500366548544600868442820306024480693798849344936111261294081933<122>
prime factors 素因数
1406618751432851503399734742467577774167028538768804355762467<61>
13788755850871667390481368307918068093036207590420598739853199<62>
factorization results 素因数分解の結果
11/08/16 07:20:34 v1.34.5   nfs: commencing nfs on c122: 19395522538765530746148021437137136725665493649234377129806500366548544600868442820306024480693798849344936111261294081933
11/08/16 07:20:34 v1.34.5   nfs: input divides 10^153 - 37
11/08/16 07:20:34 v1.34.5   nfs: using supplied cofactor: 19395522538765530746148021437137136725665493649234377129806500366548544600868442820306024480693798849344936111261294081933
11/08/16 07:20:34 v1.34.5   nfs: commencing snfs on c122: 19395522538765530746148021437137136725665493649234377129806500366548544600868442820306024480693798849344936111261294081933
11/08/16 07:20:35 v1.34.5   nfs: commencing lattice sieving with 1 threads
11/08/16 08:44:58 v1.34.5   nfs: commencing lattice sieving with 1 threads
11/08/16 09:55:51 v1.34.5   nfs: commencing lattice sieving with 1 threads
11/08/16 11:06:50 v1.34.5   nfs: commencing lattice sieving with 1 threads
11/08/16 12:23:16 v1.34.5   nfs: commencing lattice sieving with 1 threads
11/08/16 13:45:31 v1.34.5   nfs: commencing lattice sieving with 1 threads
11/08/16 15:37:07 v1.34.5   nfs: commencing lattice sieving with 1 threads
11/08/16 17:03:15 v1.34.5   nfs: commencing lattice sieving with 1 threads
11/08/16 18:29:15 v1.34.5   nfs: commencing lattice sieving with 1 threads
11/08/16 19:58:49 v1.34.5   nfs: commencing lattice sieving with 1 threads
11/08/16 21:16:30 v1.34.5   nfs: commencing lattice sieving with 1 threads
11/08/16 22:35:39 v1.34.5   nfs: commencing lattice sieving with 1 threads
11/08/16 23:48:15 v1.34.5   nfs: commencing lattice sieving with 1 threads
11/09/16 01:00:56 v1.34.5   nfs: commencing lattice sieving with 1 threads
11/09/16 02:15:08 v1.34.5   nfs: commencing lattice sieving with 1 threads
11/09/16 03:29:57 v1.34.5   nfs: commencing lattice sieving with 1 threads
11/09/16 04:42:41 v1.34.5   nfs: commencing lattice sieving with 1 threads
11/09/16 05:55:21 v1.34.5   nfs: commencing lattice sieving with 1 threads
11/09/16 07:08:01 v1.34.5   nfs: commencing lattice sieving with 1 threads
11/09/16 08:53:34 v1.34.5   nfs: commencing lattice sieving with 1 threads
11/09/16 10:36:31 v1.34.5   nfs: commencing lattice sieving with 1 threads
11/09/16 11:59:31 v1.34.5   nfs: commencing lattice sieving with 1 threads
11/09/16 13:52:55 v1.34.5   nfs: commencing lattice sieving with 1 threads
11/09/16 15:24:05 v1.34.5   nfs: commencing lattice sieving with 1 threads
11/09/16 16:38:29 v1.34.5   nfs: commencing lattice sieving with 1 threads
11/09/16 18:29:18 v1.34.5   nfs: commencing lattice sieving with 1 threads
11/09/16 19:47:01 v1.34.5   nfs: commencing lattice sieving with 1 threads
11/09/16 21:02:35 v1.34.5   nfs: commencing lattice sieving with 1 threads
11/09/16 22:19:08 v1.34.5   nfs: commencing lattice sieving with 1 threads
11/09/16 23:34:23 v1.34.5   nfs: commencing lattice sieving with 1 threads
11/10/16 01:01:18 v1.34.5   nfs: commencing msieve filtering
11/10/16 01:21:16 v1.34.5   nfs: commencing msieve linear algebra
11/10/16 02:38:33 v1.34.5   nfs: commencing msieve sqrt
11/10/16 02:48:09 v1.34.5   prp62 = 13788755850871667390481368307918068093036207590420598739853199
11/10/16 02:48:09 v1.34.5   prp61 = 1406618751432851503399734742467577774167028538768804355762467
11/10/16 02:48:09 v1.34.5   NFS elapsed time = 156455.0938 seconds.
11/10/16 02:48:09 v1.34.5   
11/10/16 02:48:09 v1.34.5   
11/10/16 02:48:09 v1.34.5   Total factoring time = 241519.4844 seconds
execution environment 実行環境
Pentium Dual E2140 WIN XP 32bit

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)

10154-379

c119

name 名前Ignacio Santos
date 日付January 1, 2022 12:02:39 UTC 2022 年 1 月 1 日 (土) 21 時 2 分 39 秒 (日本時間)
composite number 合成数
20165149998304657599619094827979772598491358889742585867408893610845431382359405053532732967773720432503921753004861151<119>
prime factors 素因数
12176259297878728356853981705510236798511866407<47>
1656103857924387644367824906369137886726878994417622169343167796781817993<73>
factorization results 素因数分解の結果
N=20165149998304657599619094827979772598491358889742585867408893610845431382359405053532732967773720432503921753004861151
  ( 119 digits)
SNFS difficulty: 154 digits.
Divisors found:
 r1=12176259297878728356853981705510236798511866407 (pp47)
 r2=1656103857924387644367824906369137886726878994417622169343167796781817993 (pp73)
Version: Msieve v. 1.52 (SVN 927)
Total time: 10.16 hours.
Scaled time: 79.35 units (timescale=7.813).
Factorization parameters were as follows:
n: 20165149998304657599619094827979772598491358889742585867408893610845431382359405053532732967773720432503921753004861151
m: 5000000000000000000000000000000
deg: 5
c5: 16
c0: -185
skew: 1.63
# Murphy_E = 9.288e-10
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2700000/2700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1350000, 2150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 485486 x 485713
Total sieving time: 10.06 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,154.000,5,0,0,0,0,0,0,0,0,2700000,2700000,27,27,50,50,2.4,2.4,100000
total time: 10.16 hours.
software ソフトウェア
GNFS, Msieve

ECM

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

10156-379

c136

name 名前Ignacio Santos
date 日付January 2, 2022 14:54:18 UTC 2022 年 1 月 2 日 (日) 23 時 54 分 18 秒 (日本時間)
composite number 合成数
8833027151877442088023083861424828572027824025326153220638302767786524800020625758720824760562646121263798736277715395339247086830779051<136>
prime factors 素因数
617487616872789630552533738861621873<36>
14304784275045889674121152966779120531990594591799545122104169172164973140454812013213306688625005787<101>
factorization results 素因数分解の結果
N=8833027151877442088023083861424828572027824025326153220638302767786524800020625758720824760562646121263798736277715395339247086830779051
  ( 136 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=617487616872789630552533738861621873 (pp36)
 r2=14304784275045889674121152966779120531990594591799545122104169172164973140454812013213306688625005787 (pp101)
Version: Msieve v. 1.52 (SVN 927)
Total time: 11.28 hours.
Scaled time: 88.47 units (timescale=7.843).
Factorization parameters were as follows:
n: 8833027151877442088023083861424828572027824025326153220638302767786524800020625758720824760562646121263798736277715395339247086830779051
m: 10000000000000000000000000000000
deg: 5
c5: 10
c0: -37
skew: 1.30
# Murphy_E = 8.426e-10
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, 2300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 542199 x 542425
Total sieving time: 11.19 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,156.000,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 11.28 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)

10157-379

c107

name 名前Ignacio Santos
date 日付December 29, 2021 21:05:14 UTC 2021 年 12 月 30 日 (木) 6 時 5 分 14 秒 (日本時間)
composite number 合成数
47465666705401768507218929683911197351509512372203218940328924172505190463289876139469998470816723446436261<107>
prime factors 素因数
3201494322366638997073920976987949377487<40>
14826097417631447862208104805760637438880458099939846821850772707403<68>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1727482138
Step 1 took 3531ms
********** Factor found in step 1: 3201494322366638997073920976987949377487
Found prime factor of 40 digits: 3201494322366638997073920976987949377487
Prime cofactor 14826097417631447862208104805760637438880458099939846821850772707403 has 68 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)

10159-379

c146

name 名前ebina
date 日付December 30, 2021 00:44:07 UTC 2021 年 12 月 30 日 (木) 9 時 44 分 7 秒 (日本時間)
composite number 合成数
21204574166614493105666075349407441034508758435667834797068282189237161684728427656749174608117779437661334129311840614245125909127588643197864891<146>
prime factors 素因数
1384841060655671334168055838617117629432430552743883<52>
15311919012983993078418428679800734888021084069511437282541931636746972748041074487291493287377<95>
factorization results 素因数分解の結果
N=21204574166614493105666075349407441034508758435667834797068282189237161684728427656749174608117779437661334129311840614245125909127588643197864891
  ( 146 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=1384841060655671334168055838617117629432430552743883 (pp52)
 r2=15311919012983993078418428679800734888021084069511437282541931636746972748041074487291493287377 (pp95)
Version: Msieve v. 1.50 (SVN Official Release)
Total time: 43.48 hours.
Scaled time: 37.87 units (timescale=0.871).
Factorization parameters were as follows:
n: 21204574166614493105666075349407441034508758435667834797068282189237161684728427656749174608117779437661334129311840614245125909127588643197864891
m: 100000000000000000000000000000000
c5: 1
c0: -370
type: snfs
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved rational special-q in [1600000, 2700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 671901 x 672126
Total sieving time: 41.09 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 2.08 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,160.000,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,53,53,2.5,2.5,100000
total time: 43.48 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
pentium Dual E2140 1.6GHz WIN XP 32bit

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)

10162-379

c126

name 名前Bob Backstrom
date 日付January 1, 2022 00:05:28 UTC 2022 年 1 月 1 日 (土) 9 時 5 分 28 秒 (日本時間)
composite number 合成数
696938204806151231208507890037730739114497854060342220707662652845437859769140952129614046288383492240092428361636342968351169<126>
prime factors 素因数
181372669287646102586237926983882836661808882863799073456057<60>
3842575662272739218845714854340841139523362013183757015544683052617<67>
factorization results 素因数分解の結果
CADO

STA:Sat 01 Jan 2022 07:31:36 AEDT (696,938,204,806,151,231,208,507,890,037,730,739,114,497,854,060,342,220,707,662,652,845,437,859,769,140,952,129,614,046,288,383,492,240,092,428,361,636,342,968,351,169 - C126)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 696938204806151231208507890037730739114497854060342220707662652845437859769140952129614046288383492240092428361636342968351169 2>&1 | tee -a log141

Debug:root: Looking for parameter file for c126 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c125
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c125
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.x7nq805n
Info:Database: Opened connection to database /tmp/cado.x7nq805n/c125.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 6969382048061512312085078900377307391144978540603422207076626528454378597691409521296
14046288383492240092428361636342968351169
Debug:root: Root parameter dictionary:
N = 696938204806151231208507890037730739114497854060342220707662652845437859769140952129614046288383492240092428361636342968351169
lim0 = 2377918
lim1 = 9209388
lpb0 = 27
lpb1 = 27
name = c125
...
n: 696938204806151231208507890037730739114497854060342220707662652845437859769140952129614046288383492240092428361636342968351169
skew: 18340.573
c0: 61745228424873490883590288
c1: -53156987845112373676234
c2: 9407252668820703005
c3: 542806567125403
c4: -18612477202
c5: -157800
Y0: -1546047009274273593926289
Y1: 114515645708191
# MurphyE (Bf=9.21e+06,Bg=2.38e+06,area=3.09e+14) = 6.24e-10
# f(x) = -157800*x^5-18612477202*x^4+542806567125403*x^3+9407252668820703005*x^2-53156987845112373676234*x+61745228424873490883590288
# g(x) = 114515645708191*x-1546047009274273593926289
...
Info:Square Root: finished
Info:Square Root: Factors: 3842575662272739218845714854340841139523362013183757015544683052617 181372669287646102586237926983882836661808882863799073456057
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 691.85/97.1152
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21528.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 22042/36.530/44.822/48.340/0.863
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 22042/36.160/40.617/45.640/1.377
Info:Polynomial Selection (size optimized): Total time: 1765.79
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1083.08
Info:Polynomial Selection (root optimized): Rootsieve time: 1082.21
Info:Generate Factor Base: Total cpu/real time for makefb: 11.77/1.09842
Info:Generate Free Relations: Total cpu/real time for freerel: 149.21/9.87517
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13061443
Info:Lattice Sieving: Average J: 3774.82 for 233837 special-q, max bucket fill: 0.734691
Info:Lattice Sieving: Total CPU time: 159974s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 33.32/39.927
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 39.8s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 187.79/55.1664
Info:Filtering - Singleton removal: Total cpu/real time for purge: 122.25/49.0388
Info:Filtering - Merging: Total cpu/real time for merge: 270.76/216.925
Info:Filtering - Merging: Total cpu/real time for replay: 23.79/18.6706
Info:Linear Algebra: Total cpu/real time for bwc: 12057/0.000346422
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 500.99
Info:Linear Algebra: Lingen CPU time 156.94, WCT time 15.67
Info:Linear Algebra: Mksol: WCT time 271.69
Info:Quadratic Characters: Total cpu/real time for characters: 27.04/6.32495
Info:Square Root: Total cpu/real time for sqrt: 691.85/97.1152
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 176398/12012.8
Info:root: Cleaning up computation data in /tmp/cado.x7nq805n
3842575662272739218845714854340841139523362013183757015544683052617 181372669287646102586237926983882836661808882863799073456057

END:Sat 01 Jan 2022 10:51:49 AEDT (696,938,204,806,151,231,208,507,890,037,730,739,114,497,854,060,342,220,707,662,652,845,437,859,769,140,952,129,614,046,288,383,492,240,092,428,361,636,342,968,351,169 - C126)

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)

10164-379

c125

name 名前Bob Backstrom
date 日付December 31, 2021 16:29:32 UTC 2022 年 1 月 1 日 (土) 1 時 29 分 32 秒 (日本時間)
composite number 合成数
14540206741765089224513528737423973671582326883473155488589160456143434595582482445478394999537345255509155719803589246129421<125>
prime factors 素因数
135457853708423224679121633596224147521451<42>
107341186529230606678764428421065005950001604653928067514991534150515694085295826471<84>
factorization results 素因数分解の結果
CADO

STA:Sat 01 Jan 2022 00:25:07 AEDT (14,540,206,741,765,089,224,513,528,737,423,973,671,582,326,883,473,155,488,589,160,456,143,434,595,582,482,445,478,394,999,537,345,255,509,155,719,803,589,246,129,421 - C125)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 14540206741765089224513528737423973671582326883473155488589160456143434595582482445478394999537345255509155719803589246129421 2>&1 | tee -a log139

Debug:root: Looking for parameter file for c125 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c125
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c125
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.9pjjdqki
Info:Database: Opened connection to database /tmp/cado.9pjjdqki/c125.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 1454020674176508922451352873742397367158232688347315548858916045614343459558248244547
8394999537345255509155719803589246129421
Debug:root: Root parameter dictionary:
N = 14540206741765089224513528737423973671582326883473155488589160456143434595582482445478394999537345255509155719803589246129421
lim0 = 2377918
lim1 = 9209388
lpb0 = 27
lpb1 = 27
name = c125
...
n: 14540206741765089224513528737423973671582326883473155488589160456143434595582482445478394999537345255509155719803589246129421
skew: 294190.617
c0: -1070096732243132554085702352216
c1: 20536250214671551213902196
c2: 31307338110023538504
c3: -976233104057024
c4: -333497635
c5: 300
Y0: -2174429357644474772876705
Y1: 5700149406998369
# MurphyE (Bf=9.21e+06,Bg=2.38e+06,area=3.09e+14) = 6.92e-10
# f(x) = 300*x^5-333497635*x^4-976233104057024*x^3+31307338110023538504*x^2+20536250214671551213902196*x-1070096732243132554085702352216
# g(x) = 5700149406998369*x-2174429357644474772876705
...
Info:Square Root: finished
Info:Square Root: Factors: 107341186529230606678764428421065005950001604653928067514991534150515694085295826471 135457853708423224679121633596224147521451
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 503.01/71.5518
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21528.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21652/37.320/44.206/48.140/0.847
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 21652/36.010/39.954/45.070/1.294
Info:Polynomial Selection (size optimized): Total time: 1761.91
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1112.92
Info:Polynomial Selection (root optimized): Rootsieve time: 1111.96
Info:Generate Factor Base: Total cpu/real time for makefb: 11.55/1.06986
Info:Generate Free Relations: Total cpu/real time for freerel: 148.21/9.83669
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13063987
Info:Lattice Sieving: Average J: 3843.91 for 188280 special-q, max bucket fill: 0.714115
Info:Lattice Sieving: Total CPU time: 134926s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 33.13/39.9985
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 39.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 189.92/56.734
Info:Filtering - Singleton removal: Total cpu/real time for purge: 141.54/54.4735
Info:Filtering - Merging: Total cpu/real time for merge: 235.23/193.967
Info:Filtering - Merging: Total cpu/real time for replay: 21.56/16.0946
Info:Linear Algebra: Total cpu/real time for bwc: 9172.24/0.000304461
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 375.7
Info:Linear Algebra: Lingen CPU time 139.92, WCT time 13.98
Info:Linear Algebra: Mksol: WCT time 214.29
Info:Quadratic Characters: Total cpu/real time for characters: 23.26/5.5109
Info:Square Root: Total cpu/real time for sqrt: 503.01/71.5518
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 148281/10093.3
Info:root: Cleaning up computation data in /tmp/cado.9pjjdqki
107341186529230606678764428421065005950001604653928067514991534150515694085295826471 135457853708423224679121633596224147521451

END:Sat 01 Jan 2022 03:13:21 AEDT (14,540,206,741,765,089,224,513,528,737,423,973,671,582,326,883,473,155,488,589,160,456,143,434,595,582,482,445,478,394,999,537,345,255,509,155,719,803,589,246,129,421 - C125)

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)

10168-379

c108

name 名前Ignacio Santos
date 日付December 28, 2021 21:29:40 UTC 2021 年 12 月 29 日 (水) 6 時 29 分 40 秒 (日本時間)
composite number 合成数
141657596040865160551108475118734940188869916785673400125044560371768502333610049869686467305574731281833149<108>
prime factors 素因数
42403150155078267126876262427120146048979552579<47>
3340732835244317969951841474944433928344252230601575359160831<61>
factorization results 素因数分解の結果
prp47 = 42403150155078267126876262427120146048979552579
prp61 = 3340732835244317969951841474944433928344252230601575359160831
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)

10173-379

c169

name 名前ebina
date 日付December 30, 2021 01:27:17 UTC 2021 年 12 月 30 日 (木) 10 時 27 分 17 秒 (日本時間)
composite number 合成数
3515062040845020914619143027874441983901015852929804211044324932335055713733347393581496713416991809905444831101268937396745052550177510633062673556188266722907659320187<169>
prime factors 素因数
302484835078544991208766153349154384972914294327811415337151496898543847391009<78>
11620622369158702560388461875004920009015542587390667519576876074549764710111236969783145243<92>
factorization results 素因数分解の結果
02/06/17 14:49:31 v1.34.5   nfs: input divides 10^173 - 37
02/06/17 14:49:31 v1.34.5   nfs: using supplied cofactor: 3515062040845020914619143027874441983901015852929804211044324932335055713733347393581496713416991809905444831101268937396745052550177510633062673556188266722907659320187
02/06/17 14:49:31 v1.34.5   nfs: commencing snfs on c169: 3515062040845020914619143027874441983901015852929804211044324932335055713733347393581496713416991809905444831101268937396745052550177510633062673556188266722907659320187
02/06/17 14:49:33 v1.34.5   test: fb generation took 1.2012 seconds
02/06/17 14:49:33 v1.34.5   test: commencing test sieving of polynomial 0 on the rational side over range 8200000-8202000
skew: 0.5172
c5: 1000
c0: -37
Y1: -1
Y0: 10000000000000000000000000000000000
m: 10000000000000000000000000000000000
rlim: 8200000
alim: 8200000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.50
alambda: 2.50
02/06/17 14:50:38 v1.34.5   nfs: parsing special-q from .dat file
02/06/17 14:50:38 v1.34.5   test: new best estimated total sieving time = 5h 45m 52s (with 6 threads)
02/06/17 14:50:39 v1.34.5   test: fb generation took 1.1856 seconds
02/06/17 14:50:39 v1.34.5   test: commencing test sieving of polynomial 1 on the rational side over range 7800000-7802000
skew: 1.0344
c5: 125
c0: -148
Y1: -1
Y0: 20000000000000000000000000000000000
m: 20000000000000000000000000000000000
rlim: 7800000
alim: 7800000
mfbr: 54
mfba: 54
lpbr: 27
lpba: 27
rlambda: 2.50
alambda: 2.50
02/06/17 14:51:45 v1.34.5   nfs: parsing special-q from .dat file
02/06/17 14:51:45 v1.34.5   test: new best estimated total sieving time = 4h 55m 37s (with 6 threads)
02/06/17 14:51:46 v1.34.5   test: fb generation took 1.7472 seconds
02/06/17 14:51:46 v1.34.5   test: commencing test sieving of polynomial 2 on the algebraic side over range 7800000-7802000
skew: 2.6794
c6: 1
c0: -370
Y1: -1
Y0: 100000000000000000000000000000
m: 100000000000000000000000000000
rlim: 7800000
alim: 7800000
mfbr: 54
mfba: 54
lpbr: 27
lpba: 27
rlambda: 2.50
alambda: 2.50
02/06/17 14:52:42 v1.34.5   nfs: parsing special-q from .dat file
02/06/17 14:52:42 v1.34.5   test: estimated total sieving time = 5h 52m 18s (with 6 threads)
02/06/17 14:52:42 v1.34.5   nfs: commencing lattice sieving with 6 threads
02/06/17 14:59:13 v1.34.5   nfs: commencing lattice sieving with 6 threads
02/06/17 15:05:30 v1.34.5   nfs: commencing lattice sieving with 6 threads
02/06/17 15:12:03 v1.34.5   nfs: commencing lattice sieving with 6 threads
02/06/17 15:18:26 v1.34.5   nfs: commencing lattice sieving with 6 threads
02/06/17 15:24:54 v1.34.5   nfs: commencing lattice sieving with 6 threads
02/06/17 15:31:21 v1.34.5   nfs: commencing lattice sieving with 6 threads
02/06/17 15:37:53 v1.34.5   nfs: commencing lattice sieving with 6 threads
02/06/17 15:44:22 v1.34.5   nfs: commencing lattice sieving with 6 threads
02/06/17 15:50:51 v1.34.5   nfs: commencing lattice sieving with 6 threads
02/06/17 15:57:30 v1.34.5   nfs: commencing lattice sieving with 6 threads
02/06/17 16:03:53 v1.34.5   nfs: commencing lattice sieving with 6 threads
02/06/17 16:10:21 v1.34.5   nfs: commencing lattice sieving with 6 threads
02/06/17 16:16:52 v1.34.5   nfs: commencing lattice sieving with 6 threads
02/06/17 16:23:46 v1.34.5   nfs: commencing lattice sieving with 6 threads
02/06/17 16:30:34 v1.34.5   nfs: commencing lattice sieving with 6 threads
02/06/17 16:37:23 v1.34.5   nfs: commencing lattice sieving with 6 threads
02/06/17 16:44:16 v1.34.5   nfs: commencing lattice sieving with 6 threads
02/06/17 16:51:16 v1.34.5   nfs: commencing lattice sieving with 6 threads
02/06/17 16:58:12 v1.34.5   nfs: commencing lattice sieving with 6 threads
02/06/17 17:05:11 v1.34.5   nfs: commencing lattice sieving with 6 threads
02/06/17 17:12:06 v1.34.5   nfs: commencing lattice sieving with 6 threads
02/06/17 17:18:54 v1.34.5   nfs: commencing lattice sieving with 6 threads
02/06/17 17:25:51 v1.34.5   nfs: commencing lattice sieving with 6 threads
02/06/17 17:32:46 v1.34.5   nfs: commencing lattice sieving with 6 threads
02/06/17 17:39:43 v1.34.5   nfs: commencing lattice sieving with 6 threads
02/06/17 17:46:37 v1.34.5   nfs: commencing lattice sieving with 6 threads
02/06/17 17:53:39 v1.34.5   nfs: commencing lattice sieving with 6 threads
02/06/17 18:00:35 v1.34.5   nfs: commencing lattice sieving with 6 threads
02/06/17 18:07:26 v1.34.5   nfs: commencing lattice sieving with 6 threads
02/06/17 18:14:20 v1.34.5   nfs: commencing lattice sieving with 6 threads
02/06/17 18:21:21 v1.34.5   nfs: commencing lattice sieving with 6 threads
02/06/17 18:28:21 v1.34.5   nfs: commencing lattice sieving with 6 threads
02/06/17 18:35:28 v1.34.5   nfs: commencing lattice sieving with 6 threads
02/06/17 18:42:26 v1.34.5   nfs: commencing lattice sieving with 6 threads
02/06/17 18:49:16 v1.34.5   nfs: commencing lattice sieving with 6 threads
02/06/17 18:56:26 v1.34.5   nfs: commencing lattice sieving with 6 threads
02/06/17 19:03:25 v1.34.5   nfs: commencing lattice sieving with 6 threads
02/06/17 19:10:32 v1.34.5   nfs: commencing lattice sieving with 6 threads
02/06/17 19:17:25 v1.34.5   nfs: commencing lattice sieving with 6 threads
02/06/17 19:24:35 v1.34.5   nfs: commencing lattice sieving with 6 threads
02/06/17 19:31:29 v1.34.5   nfs: commencing lattice sieving with 6 threads
02/06/17 19:38:34 v1.34.5   nfs: commencing lattice sieving with 6 threads
02/06/17 19:45:37 v1.34.5   nfs: commencing lattice sieving with 6 threads
02/06/17 19:52:38 v1.34.5   nfs: commencing lattice sieving with 6 threads
02/06/17 19:59:38 v1.34.5   nfs: commencing lattice sieving with 6 threads
02/06/17 20:06:42 v1.34.5   nfs: commencing lattice sieving with 6 threads
02/06/17 20:13:50 v1.34.5   nfs: commencing msieve filtering
02/06/17 20:16:37 v1.34.5   nfs: raising min_rels by 5.00 percent to 10721699
02/06/17 20:16:37 v1.34.5   nfs: commencing lattice sieving with 6 threads
02/06/17 20:23:47 v1.34.5   nfs: commencing lattice sieving with 6 threads
02/06/17 20:30:47 v1.34.5   nfs: commencing lattice sieving with 6 threads
02/06/17 20:37:52 v1.34.5   nfs: commencing msieve filtering
02/06/17 20:40:46 v1.34.5   nfs: raising min_rels by 5.00 percent to 11374854
02/06/17 20:40:46 v1.34.5   nfs: commencing lattice sieving with 6 threads
02/06/17 20:47:03 v1.34.5   nfs: commencing lattice sieving with 6 threads
02/06/17 20:54:10 v1.34.5   nfs: commencing lattice sieving with 6 threads
02/06/17 21:01:28 v1.34.5   nfs: commencing msieve filtering
02/06/17 21:04:28 v1.34.5   nfs: raising min_rels by 5.00 percent to 12028541
02/06/17 21:04:28 v1.34.5   nfs: commencing lattice sieving with 6 threads
02/06/17 21:11:37 v1.34.5   nfs: commencing lattice sieving with 6 threads
02/06/17 21:18:48 v1.34.5   nfs: commencing lattice sieving with 6 threads
02/06/17 21:26:00 v1.34.5   nfs: commencing msieve filtering
02/06/17 21:29:59 v1.34.5   nfs: commencing msieve linear algebra
02/06/17 22:12:02 v1.34.5   nfs: commencing msieve sqrt
02/06/17 22:14:09 v1.34.5   prp92 = 11620622369158702560388461875004920009015542587390667519576876074549764710111236969783145243
02/06/17 22:14:10 v1.34.5   prp78 = 302484835078544991208766153349154384972914294327811415337151496898543847391009
02/06/17 22:14:10 v1.34.5   NFS elapsed time = 26678.3601 seconds.

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)

10174-379

c122

name 名前ebina
date 日付December 30, 2021 01:17:39 UTC 2021 年 12 月 30 日 (木) 10 時 17 分 39 秒 (日本時間)
composite number 合成数
25677519511492640203313566695989489099379591814861698023283992400305390770194670238026108604715749526542873426614189111771<122>
prime factors 素因数
22535619381863698104787196616842078880240471951390962620667<59>
1139419293359094114489000399098944536943815391103528233668529313<64>
factorization results 素因数分解の結果
02/16/17 14:04:11 v1.34.5   nfs: input divides 10^174 - 37
02/16/17 14:04:11 v1.34.5   nfs: using supplied cofactor: 25677519511492640203313566695989489099379591814861698023283992400305390770194670238026108604715749526542873426614189111771
02/16/17 14:04:11 v1.34.5   nfs: commencing snfs on c122: 25677519511492640203313566695989489099379591814861698023283992400305390770194670238026108604715749526542873426614189111771
02/16/17 14:04:12 v1.34.5   nfs: input snfs form is better done by gnfs: difficulty = 174.70, size = 127
02/16/17 14:04:12 v1.34.5   nfs: commencing poly selection with 1 threads
02/16/17 14:04:12 v1.34.5   nfs: setting deadline of 18635 seconds
02/16/17 19:14:08 v1.34.5   nfs: completed 41 ranges of size 250 in 18596.6202 seconds
02/16/17 19:14:08 v1.34.5   nfs: best poly = # norm 1.411725e-011 alpha -6.981864 e 2.411e-010 rroots 5
02/16/17 19:14:08 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/16/17 20:03:15 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/16/17 20:51:40 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/16/17 21:41:56 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/16/17 22:30:52 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/16/17 23:19:35 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/17/17 00:09:08 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/17/17 00:56:56 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/17/17 01:46:09 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/17/17 02:34:52 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/17/17 03:23:58 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/17/17 04:13:44 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/17/17 05:03:07 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/17/17 05:53:27 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/17/17 06:42:51 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/17/17 07:32:00 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/17/17 08:20:38 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/17/17 09:10:01 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/17/17 10:00:08 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/17/17 10:49:56 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/17/17 11:39:09 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/17/17 12:28:44 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/17/17 13:18:20 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/17/17 14:07:29 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/17/17 14:56:49 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/17/17 15:46:01 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/17/17 16:33:22 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/17/17 17:22:45 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/17/17 18:13:34 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/17/17 19:02:21 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/17/17 19:51:58 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/17/17 20:41:45 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/17/17 21:31:04 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/17/17 22:21:32 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/17/17 23:10:48 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/17/17 23:58:27 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/18/17 00:46:07 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/18/17 01:35:50 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/18/17 02:23:56 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/18/17 03:13:05 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/18/17 03:59:56 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/18/17 04:49:08 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/18/17 05:38:26 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/18/17 06:29:34 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/18/17 07:19:11 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/18/17 08:08:57 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/18/17 08:59:58 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/18/17 09:50:22 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/18/17 10:41:10 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/18/17 11:31:45 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/18/17 12:20:49 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/18/17 13:12:08 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/18/17 14:03:09 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/18/17 14:55:21 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/18/17 15:46:25 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/18/17 16:37:41 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/18/17 17:29:44 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/18/17 18:21:01 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/18/17 19:12:09 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/18/17 20:03:20 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/18/17 20:54:31 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/18/17 21:45:49 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/18/17 22:37:38 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/18/17 23:28:17 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/19/17 00:19:07 v1.34.5   nfs: commencing lattice sieving with 1 threads
02/19/17 01:08:55 v1.34.5   nfs: commencing msieve filtering
02/19/17 01:13:41 v1.34.5   nfs: commencing msieve linear algebra
02/19/17 02:59:33 v1.34.5   nfs: commencing msieve sqrt
02/19/17 03:04:03 v1.34.5   prp59 = 22535619381863698104787196616842078880240471951390962620667
02/19/17 03:04:03 v1.34.5   prp64 = 1139419293359094114489000399098944536943815391103528233668529313
02/19/17 03:04:03 v1.34.5   NFS elapsed time = 219591.6016 seconds.
execution environment 実行環境
core i7 920 window 8 64bit

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)

10175-379

c174

name 名前Bob Backstrom
date 日付January 3, 2022 13:03:34 UTC 2022 年 1 月 3 日 (月) 22 時 3 分 34 秒 (日本時間)
composite number 合成数
123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123<174>
prime factors 素因数
10981574711924297840571690581450432809060095539902620588667549<62>
11242175495050062460031652272410740426860143478065189051608750875790265532247210524135751012821734060784540418727<113>
factorization results 素因数分解の結果
Number: n
N=123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123  ( 174 digits)
SNFS difficulty: 175 digits.
Divisors found:

Mon Jan  3 23:58:14 2022  p62 factor: 10981574711924297840571690581450432809060095539902620588667549
Mon Jan  3 23:58:14 2022  p113 factor: 11242175495050062460031652272410740426860143478065189051608750875790265532247210524135751012821734060784540418727
Mon Jan  3 23:58:14 2022  elapsed time 00:13:39 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.291).
Factorization parameters were as follows:
#
# N = 10^175-37 = 5(173)35
#
n: 123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123
m: 100000000000000000000000000000000000
deg: 5
c5: 1
c0: -37
skew: 2.06
# Murphy_E = 2.096e-10
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4308174 hash collisions in 30812206 relations (28116396 unique)
Msieve: matrix is 643429 x 643654 (216.8 MB)

Sieving start time : 2022/01/03 22:22:03
Sieving end time  : 2022/01/03 23:25:04

Total sieving time: 1hrs 3min 1secs.

Total relation processing time: 0hrs 6min 15sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 27sec.

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

ECM

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

10178-379

c147

name 名前Ignacio Santos
date 日付January 15, 2022 23:18:22 UTC 2022 年 1 月 16 日 (日) 8 時 18 分 22 秒 (日本時間)
composite number 合成数
493070698878536842225742894054335691682394511823877405246205793633674592668697282358043538722049744760967677403938223783177619595362942941438543537<147>
prime factors 素因数
277250096578482219986890251253624566723247<42>
1778432920181008768565638110801140795006151944711255941800362766052616461332939555984485706110384388519071<106>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2413951684
Step 1 took 21656ms
Step 2 took 10797ms
********** Factor found in step 2: 277250096578482219986890251253624566723247
Found prime factor of 42 digits: 277250096578482219986890251253624566723247
Prime cofactor 1778432920181008768565638110801140795006151944711255941800362766052616461332939555984485706110384388519071 has 106 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 SantosJanuary 2, 2022 23:10:20 UTC 2022 年 1 月 3 日 (月) 8 時 10 分 20 秒 (日本時間)

10185-379

c179

name 名前Bob Backstrom
date 日付January 11, 2022 03:21:41 UTC 2022 年 1 月 11 日 (火) 12 時 21 分 41 秒 (日本時間)
composite number 合成数
87338456607197911562825608683538709714045159222373317752152674609225910525244744190027520347676928061933446349296183047430895629670969832423703307769367084406504618894277671661553<179>
prime factors 素因数
6510647043833503407030413777677020728917<40>
13414712242759295161525949888562516233226022313221757686701047070730980756467009628073739929655677972050498673739724286324259046599908228909<140>
factorization results 素因数分解の結果
Number: n
N=87338456607197911562825608683538709714045159222373317752152674609225910525244744190027520347676928061933446349296183047430895629670969832423703307769367084406504618894277671661553  ( 179 digits)
SNFS difficulty: 185 digits.
Divisors found:

Tue Jan 11 14:16:39 2022  p40 factor: 6510647043833503407030413777677020728917
Tue Jan 11 14:16:39 2022  p140 factor: 13414712242759295161525949888562516233226022313221757686701047070730980756467009628073739929655677972050498673739724286324259046599908228909
Tue Jan 11 14:16:39 2022  elapsed time 00:20:04 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.284).
Factorization parameters were as follows:
#
# N = 10^185-37 = 5(183)35
#
n: 87338456607197911562825608683538709714045159222373317752152674609225910525244744190027520347676928061933446349296183047430895629670969832423703307769367084406504618894277671661553
m: 10000000000000000000000000000000000000
deg: 5
c5: 1
c0: -37
skew: 2.06
# Murphy_E = 8.26e-11
type: snfs
lss: 1
rlim: 8500000
alim: 8500000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8500000/8500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3133681 hash collisions in 30796272 relations (29622356 unique)
Msieve: matrix is 866202 x 866427 (299.4 MB)

Sieving start time : 2022/01/11 09:57:05
Sieving end time  : 2022/01/11 13:55:18

Total sieving time: 3hrs 58min 13secs.

Total relation processing time: 0hrs 11min 33sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 47sec.

Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,8500000,8500000,28,28,54,54,2.5,2.5,100000
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 22:49:31 UTC 2022 年 1 月 6 日 (木) 7 時 49 分 31 秒 (日本時間)

10186-379

c136

name 名前Eric Jeancolas
date 日付January 16, 2022 21:27:43 UTC 2022 年 1 月 17 日 (月) 6 時 27 分 43 秒 (日本時間)
composite number 合成数
1089858464302529850195451485778940092331907174608962402104146635634278101770953019005605076491388467354389246827478089836037609506159139<136>
prime factors 素因数
6853620830343783182815774866760075484506730137441054047877609<61>
159019369656004396316414260097592230270448910789627828481578383779488432171<75>
factorization results 素因数分解の結果
1089858464302529850195451485778940092331907174608962402104146635634278101770953019005605076491388467354389246827478089836037609506159139=6853620830343783182815774866760075484506730137441054047877609*159019369656004396316414260097592230270448910789627828481578383779488432171

cado polynomial
n: 1089858464302529850195451485778940092331907174608962402104146635634278101770953019005605076491388467354389246827478089836037609506159139
skew: 1.30
type: snfs
c0: -37
c5: 10
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 10*x^5-37
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 8800000
tasks.lim1 = 8800000
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: 159019369656004396316414260097592230270448910789627828481578383779488432171 6853620830343783182815774866760075484506730137441054047877609
Info:Square Root: Total cpu/real time for sqrt: 1130.26/347.782
Info:Filtering - Singleton removal: Total cpu/real time for purge: 243.93/285.96
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23625558
Info:Lattice Sieving: Average J: 1894.19 for 1414578 special-q, max bucket fill -bkmult 1.0,1s:1.151300
Info:Lattice Sieving: Total time: 253322s
Info:Linear Algebra: Total cpu/real time for bwc: 47586.3/12218.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 30438.72, WCT time 7777.37, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (52992 iterations)
Info:Linear Algebra: Lingen CPU time 330.07, WCT time 83.82
Info:Linear Algebra: Mksol: CPU time 16506.47,  WCT time 4237.52, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (26624 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 118.74/32.5827
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 95.22/111.052
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 110.7s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 355.31/345.611
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 284.7s
Info:Filtering - Merging: Merged matrix has 1693771 rows and total weight 289851592 (171.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 442.64/123.152
Info:Filtering - Merging: Total cpu/real time for replay: 65.64/55.9451
Info:Generate Factor Base: Total cpu/real time for makefb: 3.75/2.03481
Info:Quadratic Characters: Total cpu/real time for characters: 61.7/25.0055
Info:Square Root: Total cpu/real time for sqrt: 1130.26/347.782
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 523072/140126
Info:root: Cleaning up computation data in /tmp/cado.kgt3ze4c
159019369656004396316414260097592230270448910789627828481578383779488432171 6853620830343783182815774866760075484506730137441054047877609
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 11:21:04 UTC 2022 年 1 月 6 日 (木) 20 時 21 分 4 秒 (日本時間)

10187-379

c166

name 名前Eric Jeancolas
date 日付January 17, 2022 02:20:02 UTC 2022 年 1 月 17 日 (月) 11 時 20 分 2 秒 (日本時間)
composite number 合成数
6091322386237360614136192138921339943138667099704878592678156235887931476079066094431833213686813056148780765713568340577128848536460279029073876749449057254017899281<166>
prime factors 素因数
744656671019949439160521238352608604714557627946046289343943<60>
8180041384567376522172080758510915854902537028300908215272801748213431901636337097407900970044403783665767<106>
factorization results 素因数分解の結果
6091322386237360614136192138921339943138667099704878592678156235887931476079066094431833213686813056148780765713568340577128848536460279029073876749449057254017899281=744656671019949439160521238352608604714557627946046289343943*8180041384567376522172080758510915854902537028300908215272801748213431901636337097407900970044403783665767

cado polynomial
n: 6091322386237360614136192138921339943138667099704878592678156235887931476079066094431833213686813056148780765713568340577128848536460279029073876749449057254017899281
skew: 0.82
type: snfs
c0: -37
c5: 100
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 100*x^5-37
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 9200000
tasks.lim1 = 9200000
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: 744656671019949439160521238352608604714557627946046289343943 8180041384567376522172080758510915854902537028300908215272801748213431901636337097407900970044403783665767
Info:Square Root: Total cpu/real time for sqrt: 464.85/154.699
Info:Filtering - Singleton removal: Total cpu/real time for purge: 278.74/329.726
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24258295
Info:Lattice Sieving: Average J: 1894.16 for 1652510 special-q, max bucket fill -bkmult 1.0,1s:1.161910
Info:Lattice Sieving: Total time: 362630s
Info:Linear Algebra: Total cpu/real time for bwc: 52381.4/13447.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 33535.91, WCT time 8567.72, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (55808 iterations)
Info:Linear Algebra: Lingen CPU time 349.41, WCT time 88.78
Info:Linear Algebra: Mksol: CPU time 18165.5,  WCT time 4660.33, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (27904 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 118.63/32.3108
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 99.08/117.593
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 116.9s
Info:Filtering - Merging: Merged matrix has 1781371 rows and total weight 304623128 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 465.13/129.081
Info:Filtering - Merging: Total cpu/real time for replay: 73.97/63.7706
Info:Generate Factor Base: Total cpu/real time for makefb: 3.9/2.12762
Info:Quadratic Characters: Total cpu/real time for characters: 63.46/27.0996
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 391.67/386.316
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 312.3s
Info:Square Root: Total cpu/real time for sqrt: 464.85/154.699
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 745871/105790
Info:root: Cleaning up computation data in /tmp/cado.s0g103fm
744656671019949439160521238352608604714557627946046289343943 8180041384567376522172080758510915854902537028300908215272801748213431901636337097407900970044403783665767
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 14:32:34 UTC 2022 年 1 月 6 日 (木) 23 時 32 分 34 秒 (日本時間)

10188-379

c180

name 名前Bob Backstrom
date 日付January 10, 2022 16:00:36 UTC 2022 年 1 月 11 日 (火) 1 時 0 分 36 秒 (日本時間)
composite number 合成数
170756339918655743663642467725339923066379923741345584171808007725453954150177602046964164611754989726077682663252072628074097999314047876659171265899035297201827981453122553141691<180>
prime factors 素因数
4228851471330822139290798742400213891741652986442079529<55>
40378892726851581586217349922378700421784747563093400196307822300148211742718344633264811628156432710531407942002704967514179<125>
factorization results 素因数分解の結果
Number: n
N=170756339918655743663642467725339923066379923741345584171808007725453954150177602046964164611754989726077682663252072628074097999314047876659171265899035297201827981453122553141691  ( 180 digits)
SNFS difficulty: 188 digits.
Divisors found:

Tue Jan 11 02:55:37 2022  p55 factor: 4228851471330822139290798742400213891741652986442079529
Tue Jan 11 02:55:37 2022  p125 factor: 40378892726851581586217349922378700421784747563093400196307822300148211742718344633264811628156432710531407942002704967514179
Tue Jan 11 02:55:37 2022  elapsed time 00:32:13 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.321).
Factorization parameters were as follows:
#
# N = 10^188-37 = 5(186)35
#
n: 170756339918655743663642467725339923066379923741345584171808007725453954150177602046964164611754989726077682663252072628074097999314047876659171265899035297201827981453122553141691
m: 10000000000000000000000000000000000000
deg: 5
c5: 1000
c0: -37
skew: 0.52
# Murphy_E = 4.27e-11
type: snfs
lss: 1
rlim: 9500000
alim: 9500000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9500000/9500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3644222 hash collisions in 30616688 relations (28759103 unique)
Msieve: matrix is 1075917 x 1076143 (371.5 MB)

Sieving start time : 2022/01/10 22:35:34
Sieving end time  : 2022/01/11 02:22:24

Total sieving time: 3hrs 46min 50secs.

Total relation processing time: 0hrs 19min 1sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 25sec.

Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,9500000,9500000,28,28,54,54,2.5,2.5,100000
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 6, 2022 14:33:20 UTC 2022 年 1 月 6 日 (木) 23 時 33 分 20 秒 (日本時間)

10189-379

c138

name 名前Eric Jeancolas
date 日付January 18, 2022 03:26:42 UTC 2022 年 1 月 18 日 (火) 12 時 26 分 42 秒 (日本時間)
composite number 合成数
110040660171770459903005564642352539761871926496344858884209177911840719746741165942088159238663633145598586168381012871490136631867497103<138>
prime factors 素因数
516470510287905231410277029906047794684716386618270241<54>
213062813809889283297403799525441285325765043341199609872766446380380214789068523183<84>
factorization results 素因数分解の結果
110040660171770459903005564642352539761871926496344858884209177911840719746741165942088159238663633145598586168381012871490136631867497103=516470510287905231410277029906047794684716386618270241*213062813809889283297403799525441285325765043341199609872766446380380214789068523183

cado polynomial
n: 110040660171770459903005564642352539761871926496344858884209177911840719746741165942088159238663633145598586168381012871490136631867497103
skew: 1.63
type: snfs
c0: -185
c5: 16
Y0: 50000000000000000000000000000000000000
Y1: -1
# f(x) = 16*x^5-185
# g(x) = -x+50000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 10200000
tasks.lim1 = 10200000
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: 213062813809889283297403799525441285325765043341199609872766446380380214789068523183 516470510287905231410277029906047794684716386618270241
Info:Square Root: Total cpu/real time for sqrt: 515.77/166.254
Info:Filtering - Singleton removal: Total cpu/real time for purge: 277.93/331.797
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24828528
Info:Lattice Sieving: Average J: 1894.09 for 1915931 special-q, max bucket fill -bkmult 1.0,1s:1.136440
Info:Lattice Sieving: Total time: 368602s
Info:Linear Algebra: Total cpu/real time for bwc: 64867.7/16636.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 41575.05, WCT time 10610.24, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (61696 iterations)
Info:Linear Algebra: Lingen CPU time 394.06, WCT time 100.13
Info:Linear Algebra: Mksol: CPU time 22523.77,  WCT time 5771.1, iteration CPU time 0.18, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (30976 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 117.87/32.161
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 102.92/120.626
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 120.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 402.05/398.374
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 322.40000000000003s
Info:Filtering - Merging: Merged matrix has 1969560 rows and total weight 335913331 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 533.01/147.379
Info:Filtering - Merging: Total cpu/real time for replay: 76.53/65.7107
Info:Generate Factor Base: Total cpu/real time for makefb: 4.33/2.32241
Info:Quadratic Characters: Total cpu/real time for characters: 70.32/29.9523
Info:Square Root: Total cpu/real time for sqrt: 515.77/166.254
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 755220/202212
Info:root: Cleaning up computation data in /tmp/cado.kibdyj34
213062813809889283297403799525441285325765043341199609872766446380380214789068523183 516470510287905231410277029906047794684716386618270241
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 16:50:56 UTC 2022 年 1 月 7 日 (金) 1 時 50 分 56 秒 (日本時間)

10190-379

c182

name 名前ebina
date 日付December 30, 2021 00:25:06 UTC 2021 年 12 月 30 日 (木) 9 時 25 分 6 秒 (日本時間)
composite number 合成数
21427420485290661876798233321180343256691028636669679340559478048435882621473391301748214168601953786912269988720798703327363204010301163830557932767152744914810822243555790605787311<182>
prime factors 素因数
314064698075231492911851797223507001736977420618584370961<57>
68226134986231110527992368039193447909765135994465681709399287167367521372725397319120064838999007071407112492530777022780351<125>
factorization results 素因数分解の結果
Sun Jan 29 07:39:04 2017  Msieve v. 1.53 (SVN unknown)
Sun Jan 29 07:39:04 2017  random seeds: 9b7c4258 a11a1849
Sun Jan 29 07:39:04 2017  factoring 21427420485290661876798233321180343256691028636669679340559478048435882621473391301748214168601953786912269988720798703327363204010301163830557932767152744914810822243555790605787311 (182 digits)
Sun Jan 29 07:39:05 2017  searching for 15-digit factors
Sun Jan 29 07:39:07 2017  commencing number field sieve (182-digit input)
Sun Jan 29 07:39:07 2017  R0: -100000000000000000000000000000000000000
Sun Jan 29 07:39:07 2017  R1: 1
Sun Jan 29 07:39:07 2017  A0: -37
Sun Jan 29 07:39:07 2017  A1: 0
Sun Jan 29 07:39:07 2017  A2: 0
Sun Jan 29 07:39:07 2017  A3: 0
Sun Jan 29 07:39:07 2017  A4: 0
Sun Jan 29 07:39:07 2017  A5: 1
Sun Jan 29 07:39:07 2017  skew 2.06, size 4.940e-13, alpha 0.433, combined = 5.152e-11 rroots = 1
Sun Jan 29 07:39:07 2017  
Sun Jan 29 07:39:07 2017  commencing square root phase
Sun Jan 29 07:39:07 2017  reading relations for dependency 1
Sun Jan 29 07:39:07 2017  read 1021517 cycles
Sun Jan 29 07:39:08 2017  cycles contain 3508216 unique relations
Sun Jan 29 07:39:42 2017  read 3508216 relations
Sun Jan 29 07:39:55 2017  multiplying 3508216 relations
Sun Jan 29 07:41:11 2017  multiply complete, coefficients have about 80.73 million bits
Sun Jan 29 07:41:12 2017  initial square root is modulo 623171
Sun Jan 29 07:42:56 2017  GCD is 1, no factor found
Sun Jan 29 07:42:56 2017  reading relations for dependency 2
Sun Jan 29 07:42:57 2017  read 1021441 cycles
Sun Jan 29 07:42:58 2017  cycles contain 3505522 unique relations
Sun Jan 29 07:43:35 2017  read 3505522 relations
Sun Jan 29 07:43:50 2017  multiplying 3505522 relations
Sun Jan 29 07:45:17 2017  multiply complete, coefficients have about 80.67 million bits
Sun Jan 29 07:45:18 2017  initial square root is modulo 616991
Sun Jan 29 07:47:07 2017  sqrtTime: 480
Sun Jan 29 07:47:07 2017  p57 factor: 314064698075231492911851797223507001736977420618584370961
Sun Jan 29 07:47:07 2017  p125 factor: 68226134986231110527992368039193447909765135994465681709399287167367521372725397319120064838999007071407112492530777022780351
Sun Jan 29 07:47:07 2017  elapsed time 00:08:03

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)

10191-379

c119

name 名前ebina
date 日付December 30, 2021 01:33:49 UTC 2021 年 12 月 30 日 (木) 10 時 33 分 49 秒 (日本時間)
composite number 合成数
61659623186213637501660351799494662392024049700929240802930903440230424477321467106679265983244486606526234565738722903<119>
prime factors 素因数
269372700704702747092064436396285631698438077759<48>
228900786994772016967231701128644290828365132812015587301702876773239017<72>
factorization results 素因数分解の結果
01/29/18 22:47:28 v1.34.5   nfs: input divides 10^191 - 37
01/29/18 22:47:28 v1.34.5   nfs: using supplied cofactor: 61659623186213637501660351799494662392024049700929240802930903440230424477321467106679265983244486606526234565738722903
01/29/18 22:47:28 v1.34.5   nfs: commencing snfs on c119: 61659623186213637501660351799494662392024049700929240802930903440230424477321467106679265983244486606526234565738722903
01/29/18 22:47:28 v1.34.5   nfs: input snfs form is better done by gnfs: difficulty = 192.00, size = 137
01/29/18 22:47:28 v1.34.5   nfs: commencing poly selection with 4 threads
01/29/18 22:47:28 v1.34.5   nfs: setting deadline of 3150 seconds
01/29/18 23:02:02 v1.34.5   nfs: commencing nfs on c119: 61659623186213637501660351799494662392024049700929240802930903440230424477321467106679265983244486606526234565738722903
01/29/18 23:02:02 v1.34.5   nfs: commencing poly selection with 4 threads
01/29/18 23:02:02 v1.34.5   nfs: setting deadline of 3150 seconds
01/29/18 23:52:48 v1.34.5   nfs: completed 47 ranges of size 250 in 3046.5613 seconds
01/29/18 23:52:49 v1.34.5   nfs: best poly = # norm 2.493344e-011 alpha -6.622706 e 3.297e-010 rroots 3
01/29/18 23:52:49 v1.34.5   nfs: commencing lattice sieving with 4 threads
01/30/18 00:01:37 v1.34.5   nfs: commencing lattice sieving with 4 threads
01/30/18 00:10:01 v1.34.5   nfs: commencing lattice sieving with 4 threads
01/30/18 00:18:04 v1.34.5   nfs: commencing lattice sieving with 4 threads
01/30/18 00:26:39 v1.34.5   nfs: commencing lattice sieving with 4 threads
01/30/18 00:34:43 v1.34.5   nfs: commencing lattice sieving with 4 threads
01/30/18 00:42:54 v1.34.5   nfs: commencing lattice sieving with 4 threads
01/30/18 00:51:16 v1.34.5   nfs: commencing lattice sieving with 4 threads
01/30/18 00:59:38 v1.34.5   nfs: commencing lattice sieving with 4 threads
01/30/18 01:07:35 v1.34.5   nfs: commencing lattice sieving with 4 threads
01/30/18 01:15:32 v1.34.5   nfs: commencing lattice sieving with 4 threads
01/30/18 01:24:08 v1.34.5   nfs: commencing lattice sieving with 4 threads
01/30/18 01:32:28 v1.34.5   nfs: commencing lattice sieving with 4 threads
01/30/18 01:40:34 v1.34.5   nfs: commencing lattice sieving with 4 threads
01/30/18 01:48:46 v1.34.5   nfs: commencing lattice sieving with 4 threads
01/30/18 01:57:22 v1.34.5   nfs: commencing lattice sieving with 4 threads
01/30/18 02:05:55 v1.34.5   nfs: commencing lattice sieving with 4 threads
01/30/18 02:14:36 v1.34.5   nfs: commencing lattice sieving with 4 threads
01/30/18 02:22:43 v1.34.5   nfs: commencing lattice sieving with 4 threads
01/30/18 02:30:48 v1.34.5   nfs: commencing lattice sieving with 4 threads
01/30/18 02:39:19 v1.34.5   nfs: commencing lattice sieving with 4 threads
01/30/18 02:47:25 v1.34.5   nfs: commencing lattice sieving with 4 threads
01/30/18 02:55:31 v1.34.5   nfs: commencing lattice sieving with 4 threads
01/30/18 03:04:03 v1.34.5   nfs: commencing lattice sieving with 4 threads
01/30/18 03:12:37 v1.34.5   nfs: commencing lattice sieving with 4 threads
01/30/18 03:21:05 v1.34.5   nfs: commencing lattice sieving with 4 threads
01/30/18 03:29:56 v1.34.5   nfs: commencing lattice sieving with 4 threads
01/30/18 03:38:23 v1.34.5   nfs: commencing lattice sieving with 4 threads
01/30/18 03:47:13 v1.34.5   nfs: commencing lattice sieving with 4 threads
01/30/18 03:56:46 v1.34.5   nfs: commencing lattice sieving with 4 threads
01/30/18 04:05:40 v1.34.5   nfs: commencing lattice sieving with 4 threads
01/30/18 04:14:04 v1.34.5   nfs: commencing lattice sieving with 4 threads
01/30/18 04:22:40 v1.34.5   nfs: commencing lattice sieving with 4 threads
01/30/18 04:31:00 v1.34.5   nfs: commencing lattice sieving with 4 threads
01/30/18 04:39:17 v1.34.5   nfs: commencing lattice sieving with 4 threads
01/30/18 04:47:52 v1.34.5   nfs: commencing lattice sieving with 4 threads
01/30/18 04:56:24 v1.34.5   nfs: commencing lattice sieving with 4 threads
01/30/18 05:06:09 v1.34.5   nfs: commencing msieve filtering
01/30/18 05:10:08 v1.34.5   nfs: commencing msieve linear algebra
01/30/18 05:37:40 v1.34.5   nfs: commencing msieve sqrt
01/30/18 05:43:17 v1.34.5   prp72 = 228900786994772016967231701128644290828365132812015587301702876773239017
01/30/18 05:43:17 v1.34.5   prp48 = 269372700704702747092064436396285631698438077759
01/30/18 05:43:17 v1.34.5   NFS elapsed time = 24074.9000 seconds.

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 22:13:09 UTC 2021 年 12 月 30 日 (木) 7 時 13 分 9 秒 (日本時間)

10192-379

c145

name 名前Eric Jeancolas
date 日付January 19, 2022 18:56:45 UTC 2022 年 1 月 20 日 (木) 3 時 56 分 45 秒 (日本時間)
composite number 合成数
1171598817420250910870310536770029058391194624951689561274184278629239622571214665466380024404576931178700526138858823466328591594486058560888177<145>
prime factors 素因数
268865026558264363480219060818980049994057309579096254894647<60>
4357572393917733026611103043975051037041515002503516849842187878392887709955646019991<85>
factorization results 素因数分解の結果
1171598817420250910870310536770029058391194624951689561274184278629239622571214665466380024404576931178700526138858823466328591594486058560888177=268865026558264363480219060818980049994057309579096254894647*4357572393917733026611103043975051037041515002503516849842187878392887709955646019991

cado polynomial
n: 1171598817420250910870310536770029058391194624951689561274184278629239622571214665466380024404576931178700526138858823466328591594486058560888177
skew: 0.82
type: snfs
c0: -37
c5: 100
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 100*x^5-37
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 11100000
tasks.lim1 = 11100000
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: 268865026558264363480219060818980049994057309579096254894647 4357572393917733026611103043975051037041515002503516849842187878392887709955646019991
Info:Square Root: Total cpu/real time for sqrt: 621.78/196.678
Info:Generate Free Relations: Total cpu/real time for freerel: 116.97/31.4731
Info:Filtering - Singleton removal: Total cpu/real time for purge: 336.97/392.655
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 26690693
Info:Lattice Sieving: Average J: 1893.74 for 2783808 special-q, max bucket fill -bkmult 1.0,1s:1.143890
Info:Lattice Sieving: Total time: 556697s
Info:Linear Algebra: Total cpu/real time for bwc: 87026.8/22384.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 55740.9, WCT time 14318.75, iteration CPU time 0.19, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (70656 iterations)
Info:Linear Algebra: Lingen CPU time 495.09, WCT time 125.46
Info:Linear Algebra: Mksol: CPU time 30011.77,  WCT time 7685.11, 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: 111.94/128.79
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 128.2s
Info:Filtering - Merging: Merged matrix has 2245164 rows and total weight 384117838 (171.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 614.79/169.703
Info:Filtering - Merging: Total cpu/real time for replay: 86.06/74.1309
Info:Generate Factor Base: Total cpu/real time for makefb: 4.74/2.39597
Info:Quadratic Characters: Total cpu/real time for characters: 77.64/32.9092
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 452.06/448.577
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 363.4s
Info:Square Root: Total cpu/real time for sqrt: 621.78/196.678
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.12988e+06/302296
Info:root: Cleaning up computation data in /tmp/cado.0bmmm7li
268865026558264363480219060818980049994057309579096254894647 4357572393917733026611103043975051037041515002503516849842187878392887709955646019991
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 8, 2022 12:05:19 UTC 2022 年 1 月 8 日 (土) 21 時 5 分 19 秒 (日本時間)

10194-379

c156

name 名前Eric Jeancolas
date 日付January 20, 2022 07:00:01 UTC 2022 年 1 月 20 日 (木) 16 時 0 分 1 秒 (日本時間)
composite number 合成数
152928087008770529985858627656676155543032921899949984818431465336046655136312075560383815885001973483808815746276134376060116450068395565994296702948816463<156>
prime factors 素因数
25788532094945416782996229507381381581374901994702277<53>
5930081109143262110510169940853000044488175126312951302914391123314272852160356974393340797173851791619<103>
factorization results 素因数分解の結果
152928087008770529985858627656676155543032921899949984818431465336046655136312075560383815885001973483808815746276134376060116450068395565994296702948816463=25788532094945416782996229507381381581374901994702277*5930081109143262110510169940853000044488175126312951302914391123314272852160356974393340797173851791619

cado polynomial
n: 152928087008770529985858627656676155543032921899949984818431465336046655136312075560383815885001973483808815746276134376060116450068395565994296702948816463
skew: 1.63
type: snfs
c0: -185
c5: 16
Y0: 500000000000000000000000000000000000000
Y1: -1
# f(x) = 16*x^5-185
# g(x) = -x+500000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 12300000
tasks.lim1 = 12300000
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: 5930081109143262110510169940853000044488175126312951302914391123314272852160356974393340797173851791619 25788532094945416782996229507381381581374901994702277
Info:Square Root: Total cpu/real time for sqrt: 623.8/194.44
Info:Filtering - Singleton removal: Total cpu/real time for purge: 408.16/474.555
Info:Generate Free Relations: Total cpu/real time for freerel: 116.98/31.6264
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 28423409
Info:Lattice Sieving: Average J: 1893.65 for 2923790 special-q, max bucket fill -bkmult 1.0,1s:1.153450
Info:Lattice Sieving: Total time: 625147s
Info:Linear Algebra: Total cpu/real time for bwc: 101580/25985.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 65139.62, WCT time 16599.45, iteration CPU time 0.21, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (75776 iterations)
Info:Linear Algebra: Lingen CPU time 514.44, WCT time 130.31
Info:Linear Algebra: Mksol: CPU time 35075.29,  WCT time 8963.44, iteration CPU time 0.22, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (37888 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 120.07/140.101
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 139.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 517.95/529.183
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 425.4s
Info:Filtering - Merging: Merged matrix has 2410808 rows and total weight 411961097 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 665.77/183.864
Info:Filtering - Merging: Total cpu/real time for replay: 93.75/81.8752
Info:Generate Factor Base: Total cpu/real time for makefb: 5.18/2.5244
Info:Quadratic Characters: Total cpu/real time for characters: 83.71/35.9096
Info:Square Root: Total cpu/real time for sqrt: 623.8/194.44
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.27499e+06/340283
Info:root: Cleaning up computation data in /tmp/cado.4f8z2lds
5930081109143262110510169940853000044488175126312951302914391123314272852160356974393340797173851791619 25788532094945416782996229507381381581374901994702277
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 19:44:47 UTC 2022 年 1 月 11 日 (火) 4 時 44 分 47 秒 (日本時間)

10198-379

c190

name 名前Eric Jeancolas
date 日付January 20, 2022 20:33:45 UTC 2022 年 1 月 21 日 (金) 5 時 33 分 45 秒 (日本時間)
composite number 合成数
2351677307618456884427023313016699220582884432822549257286335259881472312448437564292652892812718916905667043520603535216763939212725554279700065853314142047362597544605727412723264216337907<190>
prime factors 素因数
682797043412949450803397415117797773268164975013563430374587391951324747<72>
3444182030817880689524089651568471982258347861749762066827062827232969602591885244510903495570985564047943693920972281<118>
factorization results 素因数分解の結果
2351677307618456884427023313016699220582884432822549257286335259881472312448437564292652892812718916905667043520603535216763939212725554279700065853314142047362597544605727412723264216337907=682797043412949450803397415117797773268164975013563430374587391951324747*3444182030817880689524089651568471982258347861749762066827062827232969602591885244510903495570985564047943693920972281

cado polynomial
n: 2351677307618456884427023313016699220582884432822549257286335259881472312448437564292652892812718916905667043520603535216763939212725554279700065853314142047362597544605727412723264216337907
skew: 0.52
type: snfs
c0: -37
c5: 1000
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 1000*x^5-37
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 14000000
tasks.lim1 = 14000000
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: 682797043412949450803397415117797773268164975013563430374587391951324747 3444182030817880689524089651568471982258347861749762066827062827232969602591885244510903495570985564047943693920972281
Info:Square Root: Total cpu/real time for sqrt: 1544.26/474.784
Info:Filtering - Singleton removal: Total cpu/real time for purge: 416.95/487.918
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 30238662
Info:Lattice Sieving: Average J: 1893.46 for 4153201 special-q, max bucket fill -bkmult 1.0,1s:1.161450
Info:Lattice Sieving: Total time: 1.13247e+06s
Info:Linear Algebra: Total cpu/real time for bwc: 148924/38195.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 95789.22, WCT time 24511.9, iteration CPU time 0.26, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (90112 iterations)
Info:Linear Algebra: Lingen CPU time 633.24, WCT time 160.65
Info:Linear Algebra: Mksol: CPU time 51440.44,  WCT time 13143.33, iteration CPU time 0.28, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (45056 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 118.14/31.3644
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 130.67/155.4
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 154.70000000000002s
Info:Filtering - Merging: Merged matrix has 2880057 rows and total weight 489688521 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 810.58/223.273
Info:Filtering - Merging: Total cpu/real time for replay: 113.48/98.1874
Info:Generate Factor Base: Total cpu/real time for makefb: 5.9/2.80009
Info:Quadratic Characters: Total cpu/real time for characters: 98.92/42.6718
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 539.56/550.677
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 443.3s
Info:Square Root: Total cpu/real time for sqrt: 1544.26/474.784
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.31641e+06/351294
Info:root: Cleaning up computation data in /tmp/cado.l4uf6154
682797043412949450803397415117797773268164975013563430374587391951324747 3444182030817880689524089651568471982258347861749762066827062827232969602591885244510903495570985564047943693920972281
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 21:09:08 UTC 2022 年 1 月 13 日 (木) 6 時 9 分 8 秒 (日本時間)

10199-379

c95

name 名前Ignacio Santos
date 日付December 28, 2021 20:01:04 UTC 2021 年 12 月 29 日 (水) 5 時 1 分 4 秒 (日本時間)
composite number 合成数
33440330976392865050603334795332103166211847321711908436603357512289271001933737256079839264489<95>
prime factors 素因数
772127244495643266102769327238927052630361523<45>
43309352460728449758174672311563799369131351053043<50>
factorization results 素因数分解の結果
prp50 = 43309352460728449758174672311563799369131351053043
prp45 = 772127244495643266102769327238927052630361523
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)

10201-379

c158

name 名前Ray Chandler
date 日付February 11, 2022 03:54:55 UTC 2022 年 2 月 11 日 (金) 12 時 54 分 55 秒 (日本時間)
composite number 合成数
26027308579855252385768772410078435180124615025872420057082518744105659940280494021962576370059315847852244600073432796922985494565061156679954027500291132991<158>
prime factors 素因数
3635874683562616058195882198478586430772451959645496153<55>
7158472402121506468924457782703730478302034447090441642540798610776022917535073343166414306555616674647<103>
factorization results 素因数分解の結果
02/10/22 08:12:27, nfs: commencing nfs on c201: 555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555535
02/10/22 08:12:27, nfs: input divides 10^202 - 370
02/10/22 08:12:27, nfs: using supplied cofactor: 26027308579855252385768772410078435180124615025872420057082518744105659940280494021962576370059315847852244600073432796922985494565061156679954027500291132991
02/10/22 08:12:27, nfs: commencing snfs on c158: 26027308579855252385768772410078435180124615025872420057082518744105659940280494021962576370059315847852244600073432796922985494565061156679954027500291132991
02/10/22 08:12:30, test: fb generation took 2.1815 seconds
02/10/22 08:12:30, test: commencing test sieving of polynomial 0 on the rational side over range 19000000-19001000
skew: 1.7148
c5: 10
c0: -37
Y1: -1
Y0: 10000000000000000000000000000000000000000
rlim: 19000000
alim: 19000000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
02/10/22 08:13:54, nfs: parsing special-q from .dat file
02/10/22 08:13:54, test: new best estimated total sieving time = 6h 12m 55s (with 40 threads)
02/10/22 08:13:56, test: fb generation took 2.1674 seconds
02/10/22 08:13:56, test: commencing test sieving of polynomial 1 on the rational side over range 19000000-19001000
skew: 3.4816
c5: 5
c0: -592
Y1: -1
Y0: 20000000000000000000000000000000000000000
rlim: 19000000
alim: 19000000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
02/10/22 08:15:21, nfs: parsing special-q from .dat file
02/10/22 08:15:21, test: estimated total sieving time = 6h 23m 30s (with 40 threads)
02/10/22 08:15:24, test: fb generation took 3.0967 seconds
02/10/22 08:15:24, test: commencing test sieving of polynomial 2 on the algebraic side over range 17000000-17001000
skew: 0.6812
c6: 1000
c0: -37
Y1: -1
Y0: 1000000000000000000000000000000000
rlim: 17000000
alim: 17000000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
02/10/22 08:16:09, nfs: parsing special-q from .dat file
02/10/22 08:16:09, test: estimated total sieving time = 6h 15m 21s (with 40 threads)
02/10/22 08:16:10, nfs: commencing lattice sieving with 40 threads
02/10/22 08:20:09, nfs: commencing lattice sieving with 40 threads
02/10/22 08:24:14, nfs: commencing lattice sieving with 40 threads
02/10/22 08:28:14, nfs: commencing lattice sieving with 40 threads
02/10/22 08:32:11, nfs: commencing lattice sieving with 40 threads
02/10/22 08:36:05, nfs: commencing lattice sieving with 40 threads
02/10/22 08:40:04, nfs: commencing lattice sieving with 40 threads
02/10/22 08:44:01, nfs: commencing lattice sieving with 40 threads
02/10/22 08:48:04, nfs: commencing lattice sieving with 40 threads
02/10/22 08:52:10, nfs: commencing lattice sieving with 40 threads
02/10/22 08:56:10, nfs: commencing lattice sieving with 40 threads
02/10/22 09:00:12, nfs: commencing lattice sieving with 40 threads
02/10/22 09:04:09, nfs: commencing lattice sieving with 40 threads
02/10/22 09:08:06, nfs: commencing lattice sieving with 40 threads
02/10/22 09:12:07, nfs: commencing lattice sieving with 40 threads
02/10/22 09:16:08, nfs: commencing lattice sieving with 40 threads
02/10/22 09:20:08, nfs: commencing lattice sieving with 40 threads
02/10/22 09:24:10, nfs: commencing lattice sieving with 40 threads
02/10/22 09:28:09, nfs: commencing lattice sieving with 40 threads
02/10/22 09:32:12, nfs: commencing lattice sieving with 40 threads
02/10/22 09:36:14, nfs: commencing lattice sieving with 40 threads
02/10/22 09:40:15, nfs: commencing lattice sieving with 40 threads
02/10/22 09:44:15, nfs: commencing lattice sieving with 40 threads
02/10/22 09:48:21, nfs: commencing lattice sieving with 40 threads
02/10/22 09:52:25, nfs: commencing lattice sieving with 40 threads
02/10/22 09:56:29, nfs: commencing lattice sieving with 40 threads
02/10/22 10:00:33, nfs: commencing lattice sieving with 40 threads
02/10/22 10:04:37, nfs: commencing lattice sieving with 40 threads
02/10/22 10:08:34, nfs: commencing lattice sieving with 40 threads
02/10/22 10:12:36, nfs: commencing lattice sieving with 40 threads
02/10/22 10:16:41, nfs: commencing lattice sieving with 40 threads
02/10/22 10:20:59, nfs: commencing lattice sieving with 40 threads
02/10/22 10:25:03, nfs: commencing lattice sieving with 40 threads
02/10/22 10:29:03, nfs: commencing lattice sieving with 40 threads
02/10/22 10:33:08, nfs: commencing lattice sieving with 40 threads
02/10/22 10:37:17, nfs: commencing lattice sieving with 40 threads
02/10/22 10:41:35, nfs: commencing lattice sieving with 40 threads
02/10/22 10:45:43, nfs: commencing lattice sieving with 40 threads
02/10/22 10:49:44, nfs: commencing lattice sieving with 40 threads
02/10/22 10:53:52, nfs: commencing lattice sieving with 40 threads
02/10/22 10:57:58, nfs: commencing lattice sieving with 40 threads
02/10/22 11:02:11, nfs: commencing lattice sieving with 40 threads
02/10/22 11:06:20, nfs: commencing lattice sieving with 40 threads
02/10/22 11:10:30, nfs: commencing lattice sieving with 40 threads
02/10/22 11:14:36, nfs: commencing lattice sieving with 40 threads
02/10/22 11:18:38, nfs: commencing lattice sieving with 40 threads
02/10/22 11:22:36, nfs: commencing lattice sieving with 40 threads
02/10/22 11:26:44, nfs: commencing lattice sieving with 40 threads
02/10/22 11:30:48, nfs: commencing lattice sieving with 40 threads
02/10/22 11:35:07, nfs: commencing lattice sieving with 40 threads
02/10/22 11:39:11, nfs: commencing lattice sieving with 40 threads
02/10/22 11:43:12, nfs: commencing lattice sieving with 40 threads
02/10/22 11:47:21, nfs: commencing lattice sieving with 40 threads
02/10/22 11:51:29, nfs: commencing lattice sieving with 40 threads
02/10/22 11:55:45, nfs: commencing lattice sieving with 40 threads
02/10/22 11:59:55, nfs: commencing lattice sieving with 40 threads
02/10/22 12:04:03, nfs: commencing lattice sieving with 40 threads
02/10/22 12:08:10, nfs: commencing lattice sieving with 40 threads
02/10/22 12:12:25, nfs: commencing lattice sieving with 40 threads
02/10/22 12:16:27, nfs: commencing lattice sieving with 40 threads
02/10/22 12:20:41, nfs: commencing lattice sieving with 40 threads
02/10/22 12:25:02, nfs: commencing lattice sieving with 40 threads
02/10/22 12:29:06, nfs: commencing lattice sieving with 40 threads
02/10/22 12:33:15, nfs: commencing lattice sieving with 40 threads
02/10/22 12:37:33, nfs: commencing lattice sieving with 40 threads
02/10/22 12:41:48, nfs: commencing lattice sieving with 40 threads
02/10/22 12:46:02, nfs: commencing lattice sieving with 40 threads
02/10/22 12:50:13, nfs: commencing lattice sieving with 40 threads
02/10/22 12:54:23, nfs: commencing lattice sieving with 40 threads
02/10/22 12:58:36, nfs: commencing lattice sieving with 40 threads
02/10/22 13:02:45, nfs: commencing lattice sieving with 40 threads
02/10/22 13:06:51, nfs: commencing lattice sieving with 40 threads
02/10/22 13:11:06, nfs: commencing lattice sieving with 40 threads
02/10/22 13:15:19, nfs: commencing lattice sieving with 40 threads
02/10/22 13:19:21, nfs: commencing lattice sieving with 40 threads
02/10/22 13:23:31, nfs: commencing lattice sieving with 40 threads
02/10/22 13:27:36, nfs: commencing lattice sieving with 40 threads
02/10/22 13:31:47, nfs: commencing lattice sieving with 40 threads
02/10/22 13:36:12, nfs: commencing lattice sieving with 40 threads
02/10/22 13:40:23, nfs: commencing lattice sieving with 40 threads
02/10/22 13:44:38, nfs: commencing lattice sieving with 40 threads
02/10/22 13:48:50, nfs: commencing lattice sieving with 40 threads
02/10/22 13:52:55, nfs: commencing lattice sieving with 40 threads
02/10/22 13:57:05, nfs: commencing lattice sieving with 40 threads
02/10/22 14:01:27, nfs: commencing lattice sieving with 40 threads
02/10/22 14:05:43, nfs: commencing lattice sieving with 40 threads
02/10/22 14:09:54, nfs: commencing lattice sieving with 40 threads
02/10/22 14:14:27, nfs: commencing lattice sieving with 40 threads
02/10/22 14:18:38, nfs: commencing lattice sieving with 40 threads
02/10/22 14:22:47, nfs: commencing lattice sieving with 40 threads
02/10/22 14:26:51, nfs: commencing lattice sieving with 40 threads
02/10/22 14:31:04, nfs: commencing lattice sieving with 40 threads
02/10/22 14:35:23, nfs: commencing lattice sieving with 40 threads
02/10/22 14:39:35, nfs: commencing lattice sieving with 40 threads
02/10/22 14:43:59, nfs: commencing lattice sieving with 40 threads
02/10/22 14:48:11, nfs: commencing lattice sieving with 40 threads
02/10/22 14:52:24, nfs: commencing lattice sieving with 40 threads
02/10/22 14:56:43, nfs: commencing lattice sieving with 40 threads
02/10/22 15:00:58, nfs: commencing lattice sieving with 40 threads
02/10/22 15:05:20, nfs: commencing lattice sieving with 40 threads
02/10/22 15:09:33, nfs: commencing lattice sieving with 40 threads
02/10/22 15:13:59, nfs: commencing lattice sieving with 40 threads
02/10/22 15:18:13, nfs: commencing lattice sieving with 40 threads
02/10/22 15:22:28, nfs: commencing lattice sieving with 40 threads
02/10/22 15:26:47, nfs: commencing lattice sieving with 40 threads
02/10/22 15:31:10, nfs: commencing lattice sieving with 40 threads
02/10/22 15:35:20, nfs: commencing lattice sieving with 40 threads
02/10/22 15:39:38, nfs: commencing msieve filtering
02/10/22 15:43:52, nfs: raising min_rels by 5.00 percent to 22178659
02/10/22 15:43:52, nfs: commencing lattice sieving with 40 threads
02/10/22 15:48:07, nfs: commencing lattice sieving with 40 threads
02/10/22 15:52:22, nfs: commencing lattice sieving with 40 threads
02/10/22 15:56:45, nfs: commencing lattice sieving with 40 threads
02/10/22 16:01:00, nfs: commencing lattice sieving with 40 threads
02/10/22 16:05:17, nfs: commencing lattice sieving with 40 threads
02/10/22 16:09:30, nfs: commencing msieve filtering
02/10/22 16:14:03, nfs: raising min_rels by 5.00 percent to 23372830
02/10/22 16:14:03, nfs: commencing lattice sieving with 40 threads
02/10/22 16:18:27, nfs: commencing lattice sieving with 40 threads
02/10/22 16:22:40, nfs: commencing lattice sieving with 40 threads
02/10/22 16:26:56, nfs: commencing lattice sieving with 40 threads
02/10/22 16:31:22, nfs: commencing lattice sieving with 40 threads
02/10/22 16:35:46, nfs: commencing lattice sieving with 40 threads
02/10/22 16:40:17, nfs: commencing msieve filtering
02/10/22 16:45:02, nfs: raising min_rels by 5.00 percent to 24569170
02/10/22 16:45:02, nfs: commencing lattice sieving with 40 threads
02/10/22 16:49:20, nfs: commencing lattice sieving with 40 threads
02/10/22 16:53:40, nfs: commencing lattice sieving with 40 threads
02/10/22 16:58:00, nfs: commencing lattice sieving with 40 threads
02/10/22 17:02:20, nfs: commencing lattice sieving with 40 threads
02/10/22 17:06:42, nfs: commencing lattice sieving with 40 threads
02/10/22 17:10:59, nfs: commencing lattice sieving with 40 threads
02/10/22 17:15:13, nfs: commencing msieve filtering
02/10/22 17:22:31, nfs: commencing msieve linear algebra
02/10/22 18:14:01, nfs: commencing msieve sqrt
02/10/22 19:59:38, prp103 = 7158472402121506468924457782703730478302034447090441642540798610776022917535073343166414306555616674647
02/10/22 19:59:38, C44 = 21345101966691525203439088659975551070294385
02/10/22 19:59:38, prp55 = 3635874683562616058195882198478586430772451959645496153
software ソフトウェア
YAFU Version 2.07
Built with GCC 9
Using GMP-ECM 7.0.5-dev, Powered by GMP 6.2.1
Detected Intel(R) Xeon(R) Gold 5218R CPU @ 2.10GHz
Detected L1 = 32768 bytes, L2 = 28835840 bytes, CL = 64 bytes
Using 1 random witness for Rabin-Miller PRP checks
Cached 664579 primes; max prime is 9999991
execution environment 実行環境
Ubuntu 20.04.3 LTS

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 15, 2022 15:35:01 UTC 2022 年 1 月 16 日 (日) 0 時 35 分 1 秒 (日本時間)
4511e64480Ignacio SantosJanuary 29, 2022 22:48:06 UTC 2022 年 1 月 30 日 (日) 7 時 48 分 6 秒 (日本時間)

10204-379

c192

name 名前Dmitry Domanov
date 日付January 21, 2022 13:33:06 UTC 2022 年 1 月 21 日 (金) 22 時 33 分 6 秒 (日本時間)
composite number 合成数
392107659992321151790545025677640402642930515108481309345904143806628673094761928371742694418598170941564640459030486613446474475615228965908370161729249535452204603902896051386331465041696829<192>
prime factors 素因数
13120478554262423242261629126794341<35>
composite cofactor 合成数の残り
29885164506056673672250832691922210583148592475035991833890321795703837550699573270249007973360099747378709366577566319837991753900097917926736582184191685369<158>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1709343569
Step 1 took 8862ms
Step 2 took 3680ms
********** Factor found in step 2: 13120478554262423242261629126794341
Found probable prime factor of 35 digits: 13120478554262423242261629126794341
Composite cofactor 29885164506056673672250832691922210583148592475035991833890321795703837550699573270249007973360099747378709366577566319837991753900097917926736582184191685369 has 158 digits

c158

name 名前Bob Backstrom
date 日付May 17, 2024 14:44:17 UTC 2024 年 5 月 17 日 (金) 23 時 44 分 17 秒 (日本時間)
composite number 合成数
29885164506056673672250832691922210583148592475035991833890321795703837550699573270249007973360099747378709366577566319837991753900097917926736582184191685369<158>
prime factors 素因数
627214553437867931638683823646193093274591079547191942846169377<63>
47647434745018408354055623864228049257936743137891941818346482903706021687123687983223068065497<95>
factorization results 素因数分解の結果
Number: n
N=29885164506056673672250832691922210583148592475035991833890321795703837550699573270249007973360099747378709366577566319837991753900097917926736582184191685369  ( 158 digits)
SNFS difficulty: 204 digits.
Divisors found:

Fri May 17 11:11:43 2024  prp63 factor: 627214553437867931638683823646193093274591079547191942846169377
Fri May 17 11:11:43 2024  prp95 factor: 47647434745018408354055623864228049257936743137891941818346482903706021687123687983223068065497
Fri May 17 11:11:43 2024  elapsed time 02:23:18 (Msieve 1.44 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.008).
Factorization parameters were as follows:
#
# N = 5x10^204-37 = 5(202)35
#
n: 29885164506056673672250832691922210583148592475035991833890321795703837550699573270249007973360099747378709366577566319837991753900097917926736582184191685369
m: 50000000000000000000000000000000000000000
deg: 5
c5: 16
c0: -185
skew: 1.63
# Murphy_E = 8.973e-12
type: snfs
lss: 1
rlim: 18100000
alim: 18100000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18100000/18100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 41850000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 4396478 hash collisions in 21597235 relations (17426024 unique)
Msieve: matrix is 2141666 x 2141891 (602.9 MB)

Sieving start time: 2024/05/16 17:16:40
Sieving end time  : 2024/05/17 08:46:57

Total sieving time: 15hrs 30min 17secs.

Total relation processing time: 2hrs 15min 11sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 25sec.

Prototype def-par.txt line would be:
snfs,204,5,0,0,0,0,0,0,0,0,18100000,18100000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
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 21, 2022 00:02:31 UTC 2022 年 1 月 21 日 (金) 9 時 2 分 31 秒 (日本時間)
2350Ignacio SantosFebruary 3, 2022 21:59:44 UTC 2022 年 2 月 4 日 (金) 6 時 59 分 44 秒 (日本時間)
4511e64480Ignacio SantosFebruary 3, 2022 23:01:53 UTC 2022 年 2 月 4 日 (金) 8 時 1 分 53 秒 (日本時間)
5043e61000 / 6415Dmitry DomanovMarch 1, 2022 06:50:47 UTC 2022 年 3 月 1 日 (火) 15 時 50 分 47 秒 (日本時間)

10205-379

c174

name 名前Dmitry Domanov
date 日付January 21, 2022 13:33:37 UTC 2022 年 1 月 21 日 (金) 22 時 33 分 37 秒 (日本時間)
composite number 合成数
603885290690121713746911239303204377350838958806318432799898563725184460689233250311989606787410012069864932223748532841982731367633788298838751785570920325354004832712918599<174>
prime factors 素因数
6835422788766231293279142653348281<34>
88346443131884281094062929019279251926065226123043305843430867261620633474832392845563677351075359340715982045090602382941072207382106132479<140>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1156272593
Step 1 took 10538ms
Step 2 took 3727ms
********** Factor found in step 2: 6835422788766231293279142653348281
Found probable prime factor of 34 digits: 6835422788766231293279142653348281
Probable prime cofactor 88346443131884281094062929019279251926065226123043305843430867261620633474832392845563677351075359340715982045090602382941072207382106132479 has 140 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 21, 2022 00:02:37 UTC 2022 年 1 月 21 日 (金) 9 時 2 分 37 秒 (日本時間)

10208-379

c203

name 名前Bob Backstrom
date 日付August 22, 2024 03:44:17 UTC 2024 年 8 月 22 日 (木) 12 時 44 分 17 秒 (日本時間)
composite number 合成数
29294500543412985080310873239766698597672258986820404205518498012368138129428962300907250681829500147937227744235574655569909860821827918244907883443041237868414962459097553616259619581615943238975747083<203>
prime factors 素因数
46524748379174506428491299373168756348277165962290833960587<59>
629654142450469294234527126851312398645947037231652908128045576764263183937091431523228761715996386886877433598582853427277509548527325641441409<144>
factorization results 素因数分解の結果
Number: n
N=29294500543412985080310873239766698597672258986820404205518498012368138129428962300907250681829500147937227744235574655569909860821827918244907883443041237868414962459097553616259619581615943238975747083  ( 203 digits)
SNFS difficulty: 208 digits.
Divisors found:

Thu Aug 22 13:38:01 2024  prp59 factor: 46524748379174506428491299373168756348277165962290833960587
Thu Aug 22 13:38:01 2024  prp144 factor: 629654142450469294234527126851312398645947037231652908128045576764263183937091431523228761715996386886877433598582853427277509548527325641441409
Thu Aug 22 13:38:01 2024  elapsed time 03:13:35 (Msieve 1.44 - dependency 3)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.088).
Factorization parameters were as follows:
#
# N = 5x10^208-37 = 5(206)35
#
n: 29294500543412985080310873239766698597672258986820404205518498012368138129428962300907250681829500147937227744235574655569909860821827918244907883443041237868414962459097553616259619581615943238975747083
m: 100000000000000000000000000000000000000000
deg: 5
c5: 1000
c0: -37
skew: 0.52
# Murphy_E = 6.271e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 27
lpba: 27
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
q0: 50000
qintsize: 50000
Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 57/57
Sieved  special-q in [50000, 48850000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 7536921 hash collisions in 25271050 relations (16121661 unique)
Msieve: matrix is 2405800 x 2406025 (677.5 MB)

Sieving start time: 2024/08/21 07:19:34
Sieving end time  : 2024/08/22 10:15:33

Total sieving time: 26hrs 55min 59secs.

Total relation processing time: 2hrs 57min 59sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 53sec.

Prototype def-par.txt line would be:
snfs,208,5,0,0,0,0,0,0,0,0,21000000,21000000,27,27,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
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)
403e620001000Dmitry DomanovJanuary 21, 2022 00:02:45 UTC 2022 年 1 月 21 日 (金) 9 時 2 分 45 秒 (日本時間)
1000Dmitry DomanovJanuary 23, 2022 01:31:43 UTC 2022 年 1 月 23 日 (日) 10 時 31 分 43 秒 (日本時間)
4511e61000 / 3992Dmitry DomanovFebruary 14, 2022 08:07:38 UTC 2022 年 2 月 14 日 (月) 17 時 7 分 38 秒 (日本時間)

10209-379

c195

name 名前Dmitry Domanov
date 日付January 21, 2022 20:11:23 UTC 2022 年 1 月 22 日 (土) 5 時 11 分 23 秒 (日本時間)
composite number 合成数
688885330131027575954009603349324145423045028620748472779179160487717465152401385216717963888930307505738409107680310435256212819721966935657352146883034907859375697046844937673510174676184489563<195>
prime factors 素因数
25074304228595794777565455591349320303<38>
composite cofactor 合成数の残り
27473756553746910024895885430824087298703218422058293781484945211770628907365249902557288744926083100537865556564468477332901098981477567281876816603998814421<158>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2072005917
Step 1 took 10654ms
Step 2 took 4129ms
********** Factor found in step 2: 25074304228595794777565455591349320303
Found probable prime factor of 38 digits: 25074304228595794777565455591349320303
Composite cofactor 27473756553746910024895885430824087298703218422058293781484945211770628907365249902557288744926083100537865556564468477332901098981477567281876816603998814421 has 158 digits

c158

name 名前Dmitry Domanov
date 日付March 2, 2022 12:28:41 UTC 2022 年 3 月 2 日 (水) 21 時 28 分 41 秒 (日本時間)
composite number 合成数
27473756553746910024895885430824087298703218422058293781484945211770628907365249902557288744926083100537865556564468477332901098981477567281876816603998814421<158>
prime factors 素因数
536508750842923477166891457127123493985981179093<48>
27012559772164540503647159183078878407344167515961<50>
1895725686719642028997005084060122710924167471500051946803977<61>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=339684671
Step 1 took 105973ms
Step 2 took 29866ms
********** Factor found in step 2: 536508750842923477166891457127123493985981179093
Found probable prime factor of 48 digits: 536508750842923477166891457127123493985981179093
Composite cofactor 51208403424142000573994663648352186280986598795376932813794275931229329278080406211760068588038625877085776897 has 110 digits

C110 factored by GNFS:
N=51208403424142000573994663648352186280986598795376932813794275931229329278080406211760068588038625877085776897
  ( 110 digits)
Divisors found:
p50 factor: 27012559772164540503647159183078878407344167515961
p61 factor: 1895725686719642028997005084060122710924167471500051946803977
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 11.45 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 51208403424142000573994663648352186280986598795376932813794275931229329278080406211760068588038625877085776897
skew: 17656.66
c0: 7020193959879585403194636
c1: 556243713078253050647
c2: -378964887697342852
c3: 9972947069828
c4: 1217762640
c5: 8460
Y0: -1433354766767327006735
Y1: 4641639918217
rlim: 3200000
alim: 3200000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1600000, 2300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 348892 x 349118
Total sieving time: 11.29 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
gnfs,109,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,26,26,52,52,2.5,2.5,100000
total time: 11.45 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
ECM/GGNFS

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 21, 2022 00:02:53 UTC 2022 年 1 月 21 日 (金) 9 時 2 分 53 秒 (日本時間)
4511e622001200Dmitry DomanovFebruary 8, 2022 21:18:23 UTC 2022 年 2 月 9 日 (水) 6 時 18 分 23 秒 (日本時間)
1000Dmitry DomanovFebruary 21, 2022 16:11:34 UTC 2022 年 2 月 22 日 (火) 1 時 11 分 34 秒 (日本時間)
5043e61000 / 7016Dmitry DomanovMarch 1, 2022 06:51:00 UTC 2022 年 3 月 1 日 (火) 15 時 51 分 0 秒 (日本時間)

10210-379

c200

composite cofactor 合成数の残り
84876017397054600581830480396312260250124831169177670211905575579009055166904155407598782343225567042542494725611822577579298538234647558857510007125833092623462664982037627751908895984827799424934953<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 23, 2022 01:31:35 UTC 2022 年 1 月 23 日 (日) 10 時 31 分 35 秒 (日本時間)
4511e62200 / 42131200Dmitry DomanovFebruary 14, 2022 08:08:12 UTC 2022 年 2 月 14 日 (月) 17 時 8 分 12 秒 (日本時間)
1000Dmitry DomanovFebruary 21, 2022 16:11:54 UTC 2022 年 2 月 22 日 (火) 1 時 11 分 54 秒 (日本時間)

10211-379

c148

composite cofactor 合成数の残り
4736840110007353325723061103519918112648177476201092963419680630199523843402777521922668134901880137621302637771604487690138550327883402302537178377<148>

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 23, 2022 01:31:20 UTC 2022 年 1 月 23 日 (日) 10 時 31 分 20 秒 (日本時間)
4511e622001200Dmitry DomanovFebruary 8, 2022 21:19:12 UTC 2022 年 2 月 9 日 (水) 6 時 19 分 12 秒 (日本時間)
1000Dmitry DomanovFebruary 21, 2022 16:11:54 UTC 2022 年 2 月 22 日 (火) 1 時 11 分 54 秒 (日本時間)
5043e61000 / 7016Dmitry DomanovMarch 1, 2022 06:51:09 UTC 2022 年 3 月 1 日 (火) 15 時 51 分 9 秒 (日本時間)

10212-379

c211

name 名前Dmitry Domanov
date 日付January 23, 2022 08:02:33 UTC 2022 年 1 月 23 日 (日) 17 時 2 分 33 秒 (日本時間)
composite number 合成数
1587301587301587301587301587301587301587301587301587301587301587301587301587301587301587301587301587301587301587301587301587301587301587301587301587301587301587301587301587301587301587301587301587301587301587301<211>
prime factors 素因数
779540629848181002956420922843883<33>
2036201227395576969104744130375117880149296096126843684263345971314429053093434623911244204672268969006369527805678295806427430393676071765314752787243268454573347685307352465647<178>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:371302339
Step 1 took 21296ms
Step 2 took 9074ms
********** Factor found in step 2: 779540629848181002956420922843883
Found prime factor of 33 digits: 779540629848181002956420922843883
Prime cofactor 2036201227395576969104744130375117880149296096126843684263345971314429053093434623911244204672268969006369527805678295806427430393676071765314752787243268454573347685307352465647 has 178 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 23, 2022 01:30:12 UTC 2022 年 1 月 23 日 (日) 10 時 30 分 12 秒 (日本時間)

10214-379

c204

composite cofactor 合成数の残り
979040505922251706350141437786702019827167843223160983924786275978896241856102797755581478570490554817791260473542443095902498909165061547624696368075199250669496608312471886833515433056209936194548802893<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)
403e61000Dmitry DomanovJanuary 23, 2022 01:30:24 UTC 2022 年 1 月 23 日 (日) 10 時 30 分 24 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 14, 2022 08:08:21 UTC 2022 年 2 月 14 日 (月) 17 時 8 分 21 秒 (日本時間)

10215-379

c167

name 名前Dmitry Domanov
date 日付March 2, 2022 20:30:13 UTC 2022 年 3 月 3 日 (木) 5 時 30 分 13 秒 (日本時間)
composite number 合成数
19768085597564054340912036459275785407365889494974511264519845660202326170063089545060671961576592442932842690880185384449775284043067185788074005324299724468520505293<167>
prime factors 素因数
166206105019962646097283782457747412807411936027<48>
118937181009023425996417641560053048952273531912165468852407204597522195040881788389151830101727405578562670981143951159<120>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:147471911
Step 1 took 93523ms
Step 2 took 33894ms
********** Factor found in step 2: 166206105019962646097283782457747412807411936027
Found prime factor of 48 digits: 166206105019962646097283782457747412807411936027
Prime cofactor 118937181009023425996417641560053048952273531912165468852407204597522195040881788389151830101727405578562670981143951159 has 120 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 23, 2022 01:31:14 UTC 2022 年 1 月 23 日 (日) 10 時 31 分 14 秒 (日本時間)
4511e622001200Dmitry DomanovFebruary 8, 2022 21:18:48 UTC 2022 年 2 月 9 日 (水) 6 時 18 分 48 秒 (日本時間)
1000Dmitry DomanovFebruary 21, 2022 16:12:13 UTC 2022 年 2 月 22 日 (火) 1 時 12 分 13 秒 (日本時間)
5043e61000 / 7016Dmitry DomanovMarch 1, 2022 06:51:19 UTC 2022 年 3 月 1 日 (火) 15 時 51 分 19 秒 (日本時間)

10216-379

c210

composite cofactor 合成数の残り
356934178125146119929169981692846003961255508832871638973928456827204951962013637027209449332658013868320556874427343727970468693838637910621540192394660693016261564221203532077853055195944371094470839726916799<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 22, 2022 22:08:58 UTC 2022 年 1 月 23 日 (日) 7 時 8 分 58 秒 (日本時間)
4511e656801200Dmitry DomanovFebruary 14, 2022 08:08:40 UTC 2022 年 2 月 14 日 (月) 17 時 8 分 40 秒 (日本時間)
4480Ignacio SantosSeptember 25, 2022 15:49:32 UTC 2022 年 9 月 26 日 (月) 0 時 49 分 32 秒 (日本時間)

10218-379

c166

composite cofactor 合成数の残り
4828882382936850811966530955559728922536649985828138280265881086517452774148032763707428293241679943249989331961695596114571871266843887497815257067670511920034598199<166>

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 23, 2022 01:31:27 UTC 2022 年 1 月 23 日 (日) 10 時 31 分 27 秒 (日本時間)
4511e622001200Dmitry DomanovFebruary 9, 2022 05:58:36 UTC 2022 年 2 月 9 日 (水) 14 時 58 分 36 秒 (日本時間)
1000Dmitry DomanovFebruary 21, 2022 16:12:14 UTC 2022 年 2 月 22 日 (火) 1 時 12 分 14 秒 (日本時間)
5043e61000 / 7016Dmitry DomanovMarch 1, 2022 06:51:27 UTC 2022 年 3 月 1 日 (火) 15 時 51 分 27 秒 (日本時間)

10219-379

c134

name 名前Eric Jeancolas
date 日付January 7, 2022 10:24:40 UTC 2022 年 1 月 7 日 (金) 19 時 24 分 40 秒 (日本時間)
composite number 合成数
21672211516634550166758586288776158581036394361833303637075019740504248961575934835204316224744258405268543081124899510646099733781843<134>
prime factors 素因数
132737309237791224994472850820593327597188274241<48>
163271439213899044988737273224710768229953710655850257651008751545475440056853631922323<87>
factorization results 素因数分解の結果
21672211516634550166758586288776158581036394361833303637075019740504248961575934835204316224744258405268543081124899510646099733781843=132737309237791224994472850820593327597188274241*163271439213899044988737273224710768229953710655850257651008751545475440056853631922323

cado polynomial
n: 21672211516634550166758586288776158581036394361833303637075019740504248961575934835204316224744258405268543081124899510646099733781843
skew: 454156.112
c0: -174340146637791054924443820657310
c1: -905598881999357212563451903
c2: -6339129547052433224738
c3: 10255836571035726
c4: 17992796060
c5: -19200
Y0: -90613244424811809825864147
Y1: 7062211641078487687
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.407e-07
# f(x) = -19200*x^5+17992796060*x^4+10255836571035726*x^3-6339129547052433224738*x^2-905598881999357212563451903*x-174340146637791054924443820657310
# g(x) = 7062211641078487687*x-90613244424811809825864147

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: 163271439213899044988737273224710768229953710655850257651008751545475440056853631922323 132737309237791224994472850820593327597188274241
Info:Square Root: Total cpu/real time for sqrt: 363.9/109.309
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 74.97/86.7886
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 86.7s
Info:Linear Algebra: Total cpu/real time for bwc: 20234.4/5200.99
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 12828.6, WCT time 3288.0, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (36096 iterations)
Info:Linear Algebra: Lingen CPU time 229.48, WCT time 58.17
Info:Linear Algebra: Mksol: CPU time 6986.07,  WCT time 1785.43, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (18176 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 249.44/63.1236
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): 54037/39.020/47.913/53.120/0.967
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 44238/38.900/42.715/48.510/0.995
Info:Polynomial Selection (size optimized): Total time: 11179.7
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 192.44/162.514
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 150.5s
Info:Square Root: Total cpu/real time for sqrt: 363.9/109.309
Info:Quadratic Characters: Total cpu/real time for characters: 37.87/15.4365
Info:Generate Factor Base: Total cpu/real time for makefb: 15.12/4.02782
Info:Filtering - Singleton removal: Total cpu/real time for purge: 101.35/106.028
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6871.09
Info:Polynomial Selection (root optimized): Rootsieve time: 6868.63
Info:Filtering - Merging: Merged matrix has 1148691 rows and total weight 195693017 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 288.24/80.4108
Info:Filtering - Merging: Total cpu/real time for replay: 40.87/34.872
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17025888
Info:Lattice Sieving: Average J: 3834.85 for 495695 special-q, max bucket fill -bkmult 1.0,1s:1.161090
Info:Lattice Sieving: Total time: 170150s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 358070/96384.7
163271439213899044988737273224710768229953710655850257651008751545475440056853631922323 132737309237791224994472850820593327597188274241
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 13:28:00 UTC 2021 年 12 月 30 日 (木) 22 時 28 分 0 秒 (日本時間)

10221-379

c198

name 名前Dmitry Domanov
date 日付February 10, 2022 05:21:30 UTC 2022 年 2 月 10 日 (木) 14 時 21 分 30 秒 (日本時間)
composite number 合成数
301532797945654663347125370642374674251003938987155240998716993944416409505987693128581788866220063484521942285045136927846057161158681477797494261176803296090998682699853071034190246836137009860687<198>
prime factors 素因数
1049252909525838009871348485844282549<37>
composite cofactor 合成数の残り
287378567367441141307286925933072894379652000747720649682988187815948003652957756688549427848275109058143347824744069853069025102205265451790574711929687685934963<162>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=47535486
Step 1 took 48804ms
Step 2 took 15948ms
********** Factor found in step 2: 1049252909525838009871348485844282549
Found probable prime factor of 37 digits: 1049252909525838009871348485844282549
Composite cofactor 287378567367441141307286925933072894379652000747720649682988187815948003652957756688549427848275109058143347824744069853069025102205265451790574711929687685934963 has 162 digits

c162

name 名前Erik Branger
date 日付May 31, 2024 16:26:00 UTC 2024 年 6 月 1 日 (土) 1 時 26 分 0 秒 (日本時間)
composite number 合成数
287378567367441141307286925933072894379652000747720649682988187815948003652957756688549427848275109058143347824744069853069025102205265451790574711929687685934963<162>
prime factors 素因数
84599494395723557239144529578583926273369976133094565811359323151<65>
3396930081203510341099412800107002923472401544675559570891319898715572344940417914746465087634013<97>
factorization results 素因数分解の結果
Number: 55535_221
N = 287378567367441141307286925933072894379652000747720649682988187815948003652957756688549427848275109058143347824744069853069025102205265451790574711929687685934963 (162 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=84599494395723557239144529578583926273369976133094565811359323151 (pp65)
r2=3396930081203510341099412800107002923472401544675559570891319898715572344940417914746465087634013 (pp97)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 22.84 hours.
Factorization parameters were as follows:
n: 287378567367441141307286925933072894379652000747720649682988187815948003652957756688549427848275109058143347824744069853069025102205265451790574711929687685934963
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 10
c0: -37
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: 30417681
Relations: 7321448 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 8.28 hours.
Total relation processing time: 0.25 hours.
Pruned matrix : 6308572 x 6308797
Matrix solve time: 13.98 hours.
time per square root: 0.34 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 22.84 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 22, 2022 22:08:48 UTC 2022 年 1 月 23 日 (日) 7 時 8 分 48 秒 (日本時間)
4511e622001200Dmitry DomanovFebruary 9, 2022 15:29:38 UTC 2022 年 2 月 10 日 (木) 0 時 29 分 38 秒 (日本時間)
1000Dmitry DomanovFebruary 21, 2022 16:12:26 UTC 2022 年 2 月 22 日 (火) 1 時 12 分 26 秒 (日本時間)
5043e61000 / 7016Dmitry DomanovMarch 1, 2022 06:54:15 UTC 2022 年 3 月 1 日 (火) 15 時 54 分 15 秒 (日本時間)

10222-379

c209

name 名前Erik Branger
date 日付September 29, 2024 19:56:55 UTC 2024 年 9 月 30 日 (月) 4 時 56 分 55 秒 (日本時間)
composite number 合成数
47431992246868145515957911604379458611800397610346476381236790227127445528731295410846301888282436259686424651346804579980316579504459832786696377541403243842206386307576248030104053940641873023722995858850959<209>
prime factors 素因数
34829023419441421160369090583939552967731420625451238483112817<62>
1361852489392274998769721862836081857446832754111844134767319271192982640521585354884876775497157090511677963762415273852423913450383626977093449727<148>
factorization results 素因数分解の結果
Number: 55535_222
N = 47431992246868145515957911604379458611800397610346476381236790227127445528731295410846301888282436259686424651346804579980316579504459832786696377541403243842206386307576248030104053940641873023722995858850959 (209 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=34829023419441421160369090583939552967731420625451238483112817 (pp62)
r2=1361852489392274998769721862836081857446832754111844134767319271192982640521585354884876775497157090511677963762415273852423913450383626977093449727 (pp148)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 41.48 hours.
Factorization parameters were as follows:
n: 47431992246868145515957911604379458611800397610346476381236790227127445528731295410846301888282436259686424651346804579980316579504459832786696377541403243842206386307576248030104053940641873023722995858850959
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 100
c0: -37
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: 30025400
Relations: 8196236 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 13.10 hours.
Total relation processing time: 0.42 hours.
Pruned matrix : 6991085 x 6991310
Matrix solve time: 27.74 hours.
time per square root: 0.21 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 41.48 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 22, 2022 22:08:40 UTC 2022 年 1 月 23 日 (日) 7 時 8 分 40 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 14, 2022 14:20:35 UTC 2022 年 2 月 14 日 (月) 23 時 20 分 35 秒 (日本時間)

10223-379

c217

name 名前Erik Branger
date 日付September 29, 2024 19:57:14 UTC 2024 年 9 月 30 日 (月) 4 時 57 分 14 秒 (日本時間)
composite number 合成数
9567574342444534379643263423067613091120621280007500978284476514953640318523685008663438567083525880766975029587723654009722569046792135836593484290521308423196775344743622494132685034495889291683768705803786271870279<217>
prime factors 素因数
193646059394811022491119760761063719697465751922875437<54>
147934014127390934901784885977567987011495725393156558493824805477<66>
333983598694548183834396748965975006424135495875141627073718909800837601955649687361279135267409671<99>
factorization results 素因数分解の結果
Number: 55535_223
N = 9567574342444534379643263423067613091120621280007500978284476514953640318523685008663438567083525880766975029587723654009722569046792135836593484290521308423196775344743622494132685034495889291683768705803786271870279 (217 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=193646059394811022491119760761063719697465751922875437 (pp54)
r2=147934014127390934901784885977567987011495725393156558493824805477 (pp66)
r3=333983598694548183834396748965975006424135495875141627073718909800837601955649687361279135267409671 (pp99)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 57.06 hours.
Factorization parameters were as follows:
n: 9567574342444534379643263423067613091120621280007500978284476514953640318523685008663438567083525880766975029587723654009722569046792135836593484290521308423196775344743622494132685034495889291683768705803786271870279
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 1000
c0: -37
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: 0
Relations: 9039710 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 16.96 hours.
Total relation processing time: 0.49 hours.
Pruned matrix : 7652638 x 7652863
Matrix solve time: 38.99 hours.
time per square root: 0.62 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 57.06 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 22, 2022 22:08:33 UTC 2022 年 1 月 23 日 (日) 7 時 8 分 33 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 14, 2022 14:20:48 UTC 2022 年 2 月 14 日 (月) 23 時 20 分 48 秒 (日本時間)

10224-379

c207

composite cofactor 合成数の残り
765938774119353821718526163905939100732759685332766311479396113755225785836452770372690251652619604809933797122948948095049240939653911413984465411959847858854130324880785391029628348873691831253434701270357<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 22, 2022 22:05:32 UTC 2022 年 1 月 23 日 (日) 7 時 5 分 32 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 14, 2022 14:22:10 UTC 2022 年 2 月 14 日 (月) 23 時 22 分 10 秒 (日本時間)

10225-379

c215

composite cofactor 合成数の残り
97802603372505401234593031070156669983496234166162316490049771794735595718666039023154048575134502925150239427604567738791724559976382963778562997128450721857205448671330072600600655412351506878222222236305797107863<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 22, 2022 22:05:06 UTC 2022 年 1 月 23 日 (日) 7 時 5 分 6 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 14, 2022 15:20:31 UTC 2022 年 2 月 15 日 (火) 0 時 20 分 31 秒 (日本時間)

10227-379

c202

composite cofactor 合成数の残り
6211878729442308817380586585007284141677512606590132509432970700727317034693283513667682296993779291788150255015487347797167326921701997319827299827075628807601782382496268112035125842440314039992568381<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 22, 2022 18:59:03 UTC 2022 年 1 月 23 日 (日) 3 時 59 分 3 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 14, 2022 15:20:49 UTC 2022 年 2 月 15 日 (火) 0 時 20 分 49 秒 (日本時間)

10228-379

c174

composite cofactor 合成数の残り
228463221214564581295586496199898210782764404754302048163550396535920101458716307240587589710962239939216319148974664085039167439197005957000117544831675247269411380596364809<174>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 22, 2022 19:10:09 UTC 2022 年 1 月 23 日 (日) 4 時 10 分 9 秒 (日本時間)
4511e62200 / 42131200Dmitry DomanovFebruary 9, 2022 15:29:57 UTC 2022 年 2 月 10 日 (木) 0 時 29 分 57 秒 (日本時間)
1000Dmitry DomanovFebruary 21, 2022 16:12:35 UTC 2022 年 2 月 22 日 (火) 1 時 12 分 35 秒 (日本時間)

10229-379

c198

name 名前Dmitry Domanov
date 日付January 22, 2022 22:47:00 UTC 2022 年 1 月 23 日 (日) 7 時 47 分 0 秒 (日本時間)
composite number 合成数
358166068301801851735928505526172906742790598096300548006280293341727317913036579169226580694860777845835370618190013760368082833262149978107012879090913693900743127057296961789630894860599712254227<198>
prime factors 素因数
1001078721801645045476976992217984651793<40>
357780123082837147525812902266992626488956480620121998625222855476851986382469608574183577283524079165407837616108738153825665662997312977977710194042215335139<159>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1928127867
Step 1 took 10523ms
Step 2 took 4860ms
********** Factor found in step 2: 1001078721801645045476976992217984651793
Found prime factor of 40 digits: 1001078721801645045476976992217984651793
Prime cofactor 357780123082837147525812902266992626488956480620121998625222855476851986382469608574183577283524079165407837616108738153825665662997312977977710194042215335139 has 159 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 22, 2022 19:10:17 UTC 2022 年 1 月 23 日 (日) 4 時 10 分 17 秒 (日本時間)

10230-379

c221

name 名前Dmitry Domanov
date 日付February 15, 2022 22:11:11 UTC 2022 年 2 月 16 日 (水) 7 時 11 分 11 秒 (日本時間)
composite number 合成数
86025281386695328088177510050585248355671264376436418426772527244514155547367841323732667618778996503960952787559475954735090122532199957477187258868179154045327716935408226301559991141219753135779147873185828002791826631<221>
prime factors 素因数
535546043203344945915238254736945450777<39>
160630971843501851448370177078634832969245269845541995011975273513740642559693760109239844751478729475867489364060165534437353416118398197043606012280694180069348190217544230189575903<183>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2906532383
Step 1 took 57180ms
Step 2 took 18452ms
********** Factor found in step 2: 535546043203344945915238254736945450777
Found probable prime factor of 39 digits: 535546043203344945915238254736945450777
Probable prime cofactor 160630971843501851448370177078634832969245269845541995011975273513740642559693760109239844751478729475867489364060165534437353416118398197043606012280694180069348190217544230189575903 has 183 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 22, 2022 18:57:50 UTC 2022 年 1 月 23 日 (日) 3 時 57 分 50 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 15, 2022 10:02:08 UTC 2022 年 2 月 15 日 (火) 19 時 2 分 8 秒 (日本時間)

10231-379

c203

composite cofactor 合成数の残り
51086208978729227732678021189980205200494249462148883605848373622098807919848521737756788862397018821159781086840773290783674096930914320091534983267012521330466227399113389220109675888683185217659685259<203>

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 22, 2022 18:58:49 UTC 2022 年 1 月 23 日 (日) 3 時 58 分 49 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 15, 2022 10:02:18 UTC 2022 年 2 月 15 日 (火) 19 時 2 分 18 秒 (日本時間)

10232-379

c228

name 名前Dmitry Domanov
date 日付February 15, 2022 22:11:49 UTC 2022 年 2 月 16 日 (水) 7 時 11 分 49 秒 (日本時間)
composite number 合成数
190030975048932976075100241339338312144879615377306500959656423997111529179256218763658476331642057655397829846264941185413222355243904756475305474792391159759040723637952986336772893981719020200292647701575356783155654371662581<228>
prime factors 素因数
694400772597829672217468840732317240664317<42>
composite cofactor 合成数の残り
273661813966603458115118223953085018779740378364659662759795408484510684359416591239706253224835804533334256330910148584151556583479073918981514090861851477644272235472380758460510658393<186>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1577933410
Step 1 took 56704ms
Step 2 took 17740ms
********** Factor found in step 2: 694400772597829672217468840732317240664317
Found probable prime factor of 42 digits: 694400772597829672217468840732317240664317
Composite cofactor 273661813966603458115118223953085018779740378364659662759795408484510684359416591239706253224835804533334256330910148584151556583479073918981514090861851477644272235472380758460510658393 has 186 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 22, 2022 18:57:38 UTC 2022 年 1 月 23 日 (日) 3 時 57 分 38 秒 (日本時間)
4511e62200 / 42131200Dmitry DomanovFebruary 15, 2022 10:02:27 UTC 2022 年 2 月 15 日 (火) 19 時 2 分 27 秒 (日本時間)
1000Dmitry DomanovFebruary 21, 2022 16:12:54 UTC 2022 年 2 月 22 日 (火) 1 時 12 分 54 秒 (日本時間)

10233-379

c169

name 名前Dmitry Domanov
date 日付February 10, 2022 05:23:08 UTC 2022 年 2 月 10 日 (木) 14 時 23 分 8 秒 (日本時間)
composite number 合成数
3326158664355280041479263488744553874243638882504282798610924540556016391525292591485334748111178389558799130838345410732308386608197169721080210190164190127806572158231<169>
prime factors 素因数
75298016567717167890514893005142467131<38>
44173257357502798984490171763544066186246815852431488399120090098557179669115754104810042439654983795806629527383807716040072038101<131>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:4288277432
Step 1 took 27042ms
Step 2 took 12686ms
********** Factor found in step 2: 75298016567717167890514893005142467131
Found prime factor of 38 digits: 75298016567717167890514893005142467131
Prime cofactor 44173257357502798984490171763544066186246815852431488399120090098557179669115754104810042439654983795806629527383807716040072038101 has 131 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 22, 2022 16:25:59 UTC 2022 年 1 月 23 日 (日) 1 時 25 分 59 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 9, 2022 15:33:37 UTC 2022 年 2 月 10 日 (木) 0 時 33 分 37 秒 (日本時間)

10234-379

c226

composite cofactor 合成数の残り
3260532075339197472002536537449074279351739317304381582233770244305375578260661926029097855541859038466678188734914500322693229230282704205355039843066156890301964363955993002885124193780868292668580488136800214050018107527907<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 22, 2022 16:48:05 UTC 2022 年 1 月 23 日 (日) 1 時 48 分 5 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 15, 2022 10:02:39 UTC 2022 年 2 月 15 日 (火) 19 時 2 分 39 秒 (日本時間)

10235-379

c166

composite cofactor 合成数の残り
3668528079575091523108301853812229062781325615291158127303615494843884160715449338370954973406805729232629367081439680507592500971099245292561362031537805281350297807<166>

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 22, 2022 16:25:50 UTC 2022 年 1 月 23 日 (日) 1 時 25 分 50 秒 (日本時間)
4511e622001200Dmitry DomanovFebruary 9, 2022 15:33:47 UTC 2022 年 2 月 10 日 (木) 0 時 33 分 47 秒 (日本時間)
1000Dmitry DomanovFebruary 21, 2022 16:13:04 UTC 2022 年 2 月 22 日 (火) 1 時 13 分 4 秒 (日本時間)
5043e61000 / 7016Dmitry DomanovMarch 1, 2022 06:52:23 UTC 2022 年 3 月 1 日 (火) 15 時 52 分 23 秒 (日本時間)

10236-379

c165

composite cofactor 合成数の残り
853205675382725039672023544762423105493087053600175925682465777746766906860843231116143517678784839575393153943259912166370785521274139449225960588934281256018417527<165>

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 22, 2022 16:25:39 UTC 2022 年 1 月 23 日 (日) 1 時 25 分 39 秒 (日本時間)
4511e622001200Dmitry DomanovFebruary 9, 2022 15:33:55 UTC 2022 年 2 月 10 日 (木) 0 時 33 分 55 秒 (日本時間)
1000Dmitry DomanovFebruary 21, 2022 16:13:15 UTC 2022 年 2 月 22 日 (火) 1 時 13 分 15 秒 (日本時間)
5043e61000 / 7016Dmitry DomanovMarch 1, 2022 06:52:23 UTC 2022 年 3 月 1 日 (火) 15 時 52 分 23 秒 (日本時間)

10240-379

c230

composite cofactor 合成数の残り
72317719698351124843635720273735635423854105614397949338028438633896171710298647665924035207589382283784998175182752415407119193717252366537009912022361906515721040500168423955544016511273398770735055102574390188073071224922079973<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 22, 2022 14:53:50 UTC 2022 年 1 月 22 日 (土) 23 時 53 分 50 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 15, 2022 10:03:08 UTC 2022 年 2 月 15 日 (火) 19 時 3 分 8 秒 (日本時間)

10241-379

c240

composite cofactor 合成数の残り
370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370369<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 22, 2022 16:25:09 UTC 2022 年 1 月 23 日 (日) 1 時 25 分 9 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 15, 2022 10:03:53 UTC 2022 年 2 月 15 日 (火) 19 時 3 分 53 秒 (日本時間)

10242-379

c178

name 名前Dmitry Domanov
date 日付January 22, 2022 18:57:06 UTC 2022 年 1 月 23 日 (日) 3 時 57 分 6 秒 (日本時間)
composite number 合成数
1070301831945739807038056876038626690044830163338353942085429858697524315049560772874134367663827498621478931803203291817140012536002609053923025518267411690046809617656735009159<178>
prime factors 素因数
224766333362760735520268475502261<33>
4761842291649303167159980615171883391727807113776710743884683552550367213021952159895594660116792838026948053734467718176824319216447900850774219<145>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1029896255
Step 1 took 8989ms
Step 2 took 4270ms
********** Factor found in step 2: 224766333362760735520268475502261
Found prime factor of 33 digits: 224766333362760735520268475502261
Prime cofactor 4761842291649303167159980615171883391727807113776710743884683552550367213021952159895594660116792838026948053734467718176824319216447900850774219 has 145 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 22, 2022 15:16:36 UTC 2022 年 1 月 23 日 (日) 0 時 16 分 36 秒 (日本時間)

10243-379

c241

composite cofactor 合成数の残り
5847953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953<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 22, 2022 08:15:22 UTC 2022 年 1 月 22 日 (土) 17 時 15 分 22 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 15, 2022 10:03:54 UTC 2022 年 2 月 15 日 (火) 19 時 3 分 54 秒 (日本時間)

10244-379

c215

composite cofactor 合成数の残り
34114588648917783696439167119342465435517740587619894093819555695382204843942778700777933188729027085398516537653084256246218706455618281087257914350515367037204464315298397305457345590481699660665654549946204482053<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 22, 2022 14:52:42 UTC 2022 年 1 月 22 日 (土) 23 時 52 分 42 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 15, 2022 10:04:55 UTC 2022 年 2 月 15 日 (火) 19 時 4 分 55 秒 (日本時間)

10247-379

c227

composite cofactor 合成数の残り
83176221362152622700261558618762211491769799189945694509020869704952228041586782923570632618863105692636937405818209831428467877430912851560863722382926955613792382114076352703969645758774506746339810922147771471319120806502829<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 22, 2022 01:16:34 UTC 2022 年 1 月 22 日 (土) 10 時 16 分 34 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 15, 2022 10:04:42 UTC 2022 年 2 月 15 日 (火) 19 時 4 分 42 秒 (日本時間)

10248-379

c244

composite cofactor 合成数の残り
1444314456143391539205915912012363331744587431575602640206825830119733668414287158600170429105824920201626298077617458873145861316925921111544405447954128572872885884714820110634487340583791903173158860147031211635397258691162239842858587171599<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 22, 2022 08:15:07 UTC 2022 年 1 月 22 日 (土) 17 時 15 分 7 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 15, 2022 10:04:48 UTC 2022 年 2 月 15 日 (火) 19 時 4 分 48 秒 (日本時間)

10249-379

c224

composite cofactor 合成数の残り
16373790574027287959165593521711330159995786120653671527654624026649850194491628247745009809677046285595213617436045081053382514181203103138697328119193524909268112089121921697201676941011293845810063597279713313878650129923<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 22, 2022 01:16:23 UTC 2022 年 1 月 22 日 (土) 10 時 16 分 23 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 15, 2022 10:04:58 UTC 2022 年 2 月 15 日 (火) 19 時 4 分 58 秒 (日本時間)

10250-379

c237

composite cofactor 合成数の残り
105121437452713813659224732598772985878206133836004524356367667117437681463680801744738447612395139372271997186593916756488971542289873597425817482976973467106021613251520353899559672544344911310440124581227710727987652304915195512843299<237>

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 22, 2022 01:16:14 UTC 2022 年 1 月 22 日 (土) 10 時 16 分 14 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 15, 2022 10:05:09 UTC 2022 年 2 月 15 日 (火) 19 時 5 分 9 秒 (日本時間)

10251-379

c242

composite cofactor 合成数の残り
12657435545508948988121864660895206923279745532009645886840688110360077236618474874410794903929676259187607330868561288653523014214532887846231623232745575276431237698473346967165988309951748188716258542928697716263091631309705814089492664209<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 22, 2022 01:16:08 UTC 2022 年 1 月 22 日 (土) 10 時 16 分 8 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 15, 2022 10:05:19 UTC 2022 年 2 月 15 日 (火) 19 時 5 分 19 秒 (日本時間)

10252-379

c198

composite cofactor 合成数の残り
195639232486497804029344232388713299807370462503707390114224927257694293147676461594886093559691875446663190886211525093987450157538908158523380640595762388481210824841539770547276625280207118294773<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 21, 2022 23:03:57 UTC 2022 年 1 月 22 日 (土) 8 時 3 分 57 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 9, 2022 15:31:43 UTC 2022 年 2 月 10 日 (木) 0 時 31 分 43 秒 (日本時間)

10254-379

c212

name 名前Dmitry Domanov
date 日付February 16, 2022 06:40:50 UTC 2022 年 2 月 16 日 (水) 15 時 40 分 50 秒 (日本時間)
composite number 合成数
66747482131537572171500680084645502908116362629775281414483929879316681551350060848048693623097297038009294987527000882354211507170776788508501525236826580096480853295839877163778879453892886991299118308204932273<212>
prime factors 素因数
33185540961806934873996223740564337219711456669<47>
2011342295379692603161816886618980355763029989035005891905634164757472158748262099577984691350663290078756594626277821070547224000229906759786485729053970641633358117<166>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1105949199
Step 1 took 39498ms
Step 2 took 15889ms
********** Factor found in step 2: 33185540961806934873996223740564337219711456669
Found prime factor of 47 digits: 33185540961806934873996223740564337219711456669
Prime cofactor 2011342295379692603161816886618980355763029989035005891905634164757472158748262099577984691350663290078756594626277821070547224000229906759786485729053970641633358117 has 166 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 22, 2022 01:13:22 UTC 2022 年 1 月 22 日 (土) 10 時 13 分 22 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 15, 2022 10:05:42 UTC 2022 年 2 月 15 日 (火) 19 時 5 分 42 秒 (日本時間)

10255-379

c213

composite cofactor 合成数の残り
196640391347740654290400907607180002745334814694915880474728178878900433113250234651408454607033892836810338507050371416258235719032059105723571276498581509558098011140237843054658263781613522226266285959893665603<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 22, 2022 01:13:13 UTC 2022 年 1 月 22 日 (土) 10 時 13 分 13 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 15, 2022 10:05:51 UTC 2022 年 2 月 15 日 (火) 19 時 5 分 51 秒 (日本時間)

10256-379

c227

composite cofactor 合成数の残り
18697365400320562232650751285272520023404324058696227617681372426757685074903776365018820308416217101966417058664474521159644344617832356558992425771851201991229915884845725546650319108368021121921749505844233717894626079823549<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 22, 2022 01:13:05 UTC 2022 年 1 月 22 日 (土) 10 時 13 分 5 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 15, 2022 10:06:02 UTC 2022 年 2 月 15 日 (火) 19 時 6 分 2 秒 (日本時間)

10257-379

c218

composite cofactor 合成数の残り
49712887538276420626583327300440834883118454050211451693741763352594522278497559966077405275738644825828282549951398875242598246425569283355240649338329729919787562538852805277757087071414129916018528490416209381477841<218>

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 22, 2022 01:12:56 UTC 2022 年 1 月 22 日 (土) 10 時 12 分 56 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 15, 2022 10:06:14 UTC 2022 年 2 月 15 日 (火) 19 時 6 分 14 秒 (日本時間)

10260-379

c257

composite cofactor 合成数の残り
22356360384529398613905656159177285937849318131008271853342275877487145092778895595797004247708473060585736642074670243684328191370444891571652135032416722557567627990163201430807064609881511289961994187346300022356360384529398613905656159177285937849318131<257>

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 5, 2022 13:15:05 UTC 2022 年 1 月 5 日 (水) 22 時 15 分 5 秒 (日本時間)
4511e63600 / 42131800Dmitry DomanovFebruary 14, 2022 08:12:23 UTC 2022 年 2 月 14 日 (月) 17 時 12 分 23 秒 (日本時間)
1800Dmitry DomanovFebruary 23, 2022 16:35:28 UTC 2022 年 2 月 24 日 (木) 1 時 35 分 28 秒 (日本時間)

10261-379

c175

composite cofactor 合成数の残り
8097539252839603759521814678850990306237429294242015274275160070746800074767425886957268742921848479099763592246439855411883734157456121641694993361511316329848283117907524053<175>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosDecember 31, 2021 14:09:38 UTC 2021 年 12 月 31 日 (金) 23 時 9 分 38 秒 (日本時間)
4511e64480Ignacio SantosJanuary 7, 2022 14:39:57 UTC 2022 年 1 月 7 日 (金) 23 時 39 分 57 秒 (日本時間)
5043e61792 / 6453Dmitry DomanovMay 15, 2024 17:02:32 UTC 2024 年 5 月 16 日 (木) 2 時 2 分 32 秒 (日本時間)

10263-379

c245

composite cofactor 合成数の残り
23192410766309101448952673269134638257251208347534661430432099092052198319104131716697448085047535739730566463864078303841306057753008542237190609184315863239814543634846965424851662930004850181192684424163536606115964635076993664946322105505877<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 21, 2022 23:03:38 UTC 2022 年 1 月 22 日 (土) 8 時 3 分 38 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 15, 2022 10:14:48 UTC 2022 年 2 月 15 日 (火) 19 時 14 分 48 秒 (日本時間)

10265-379

c255

composite cofactor 合成数の残り
880245177710349113440484735541133884397992864206378912674839751416011928662243233776722608869960543751955818410814332902058000734807724517369933591216773693032687708995770809317004482834563296003056963338490167844147886551956863191420660869627725514950033<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 5, 2022 00:26:53 UTC 2022 年 1 月 5 日 (水) 9 時 26 分 53 秒 (日本時間)
4511e63600 / 42131800Dmitry DomanovFebruary 14, 2022 08:12:12 UTC 2022 年 2 月 14 日 (月) 17 時 12 分 12 秒 (日本時間)
1800Dmitry DomanovFebruary 23, 2022 16:34:12 UTC 2022 年 2 月 24 日 (木) 1 時 34 分 12 秒 (日本時間)

10268-379

c242

composite cofactor 合成数の残り
63172454859777232578655021165492349762237669447105529731222591403986398781732691457575469990910201307091588361097695793060848403748997005841260001223689896605765599593212335495732483976010032446468410502345014741315166533793944134621009804929<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 21, 2022 23:03:30 UTC 2022 年 1 月 22 日 (土) 8 時 3 分 30 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 15, 2022 10:15:32 UTC 2022 年 2 月 15 日 (火) 19 時 15 分 32 秒 (日本時間)

10269-379

c252

composite cofactor 合成数の残り
327666041803159956493616661573410187774743715654287229658485589175406373970164889386551267140589211186532045592745439665771763751941266902089094352123119652607639562295325170097578182192708624180289872936090318158599401546103527768235555367512231364693<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 5, 2022 00:26:59 UTC 2022 年 1 月 5 日 (水) 9 時 26 分 59 秒 (日本時間)
4511e63600 / 42131800Dmitry DomanovFebruary 14, 2022 08:12:00 UTC 2022 年 2 月 14 日 (月) 17 時 12 分 0 秒 (日本時間)
1800Dmitry DomanovFebruary 23, 2022 16:33:56 UTC 2022 年 2 月 24 日 (木) 1 時 33 分 56 秒 (日本時間)

10270-379

c265

name 名前Dmitry Domanov
date 日付January 5, 2022 19:15:12 UTC 2022 年 1 月 6 日 (木) 4 時 15 分 12 秒 (日本時間)
composite number 合成数
4116903594468528330472085335177706143655234025384827563492945685690878176705736081778173000522846756497503097969954837567568680244214721223873100563604102082741528441628482385827971066401538075182893442184264371081222391015269595431883771577720964508174112086817263<265>
prime factors 素因数
8364620282821471027731246275264074626799<40>
492180571893199568703341905174694519049167364368408710500699868692188447872920520719142901616775971878009041706233941819113397154987605157136504733096902545009367834866428408534839214999447255567706782249194477881357517614337<225>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=484789291
Step 1 took 20234ms
Step 2 took 5987ms
********** Factor found in step 2: 8364620282821471027731246275264074626799
Found probable prime factor of 40 digits: 8364620282821471027731246275264074626799
Probable prime cofactor 492180571893199568703341905174694519049167364368408710500699868692188447872920520719142901616775971878009041706233941819113397154987605157136504733096902545009367834866428408534839214999447255567706782249194477881357517614337 has 225 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 5, 2022 00:27:04 UTC 2022 年 1 月 5 日 (水) 9 時 27 分 4 秒 (日本時間)

10271-379

c204

name 名前Dmitry Domanov
date 日付February 15, 2022 13:16:41 UTC 2022 年 2 月 15 日 (火) 22 時 16 分 41 秒 (日本時間)
composite number 合成数
567030157988151265567041209844139062395379617636350992490512905191751029746517144717587282365901852346516144718464442901213584885267297703595383844626614849148195662570972281108763435702390912188757112493<204>
prime factors 素因数
34866325871413754355301005870910734553<38>
composite cofactor 合成数の残り
16262974196918426695298936177015937999266039839764600398991134833668159598635039798866181488186353962848292033075325924324763592827179574368765118186318105514997972981<167>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1010439749
Step 1 took 32591ms
Step 2 took 13455ms
********** Factor found in step 2: 34866325871413754355301005870910734553
Found prime factor of 38 digits: 34866325871413754355301005870910734553
Composite cofactor 16262974196918426695298936177015937999266039839764600398991134833668159598635039798866181488186353962848292033075325924324763592827179574368765118186318105514997972981 has 167 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 21, 2022 23:03:23 UTC 2022 年 1 月 22 日 (土) 8 時 3 分 23 秒 (日本時間)
4511e622001200Dmitry DomanovFebruary 15, 2022 10:15:33 UTC 2022 年 2 月 15 日 (火) 19 時 15 分 33 秒 (日本時間)
1000Dmitry DomanovFebruary 21, 2022 16:14:23 UTC 2022 年 2 月 22 日 (火) 1 時 14 分 23 秒 (日本時間)
5043e62792 / 70161000Dmitry DomanovMarch 1, 2022 06:52:31 UTC 2022 年 3 月 1 日 (火) 15 時 52 分 31 秒 (日本時間)
1792Dmitry DomanovJuly 1, 2024 19:10:11 UTC 2024 年 7 月 2 日 (火) 4 時 10 分 11 秒 (日本時間)

10273-379

c266

name 名前Dmitry Domanov
date 日付February 24, 2022 21:07:16 UTC 2022 年 2 月 25 日 (金) 6 時 7 分 16 秒 (日本時間)
composite number 合成数
50363414847023897389981497992287648830815842497082573286449023183941846775051757222352915283750249235949224209512208670938189333502151499900557437384551314603481532214228037383554118989510459045906403723306823542660305364464168772235132883618256798318143979232545161<266>
prime factors 素因数
167866454226254707343747500911763583235529<42>
composite cofactor 合成数の残り
300020722300733157017597918363527225433208249609338063082185096859642488176564305552808935954135273414998385051183956473994437632612585657032721352166018859082679414733694764046026681719062728737006169060521401371745727452609<225>
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 22:05:16 2022 
Input number is 50363414847023897389981497992287648830815842497082573286449023183941846775051757222352915283750249235949224209512208670938189333502151499900557437384551314603481532214228037383554118989510
459045906403723306823542660305364464168772235132883618256798318143979232545161 (266 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3825556991
Step 1 took 0ms
Step 2 took 15360ms
********** Factor found in step 2: 167866454226254707343747500911763583235529
Found prime factor of 42 digits: 167866454226254707343747500911763583235529
Composite cofactor 300020722300733157017597918363527225433208249609338063082185096859642488176564305552808935954135273414998385051183956473994437632612585657032721352166018859082679414733694764046026681719062728737006169060521401371745727452609 has 225 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 5, 2022 00:27:09 UTC 2022 年 1 月 5 日 (水) 9 時 27 分 9 秒 (日本時間)
4511e63600 / 42131800Dmitry DomanovFebruary 14, 2022 08:11:51 UTC 2022 年 2 月 14 日 (月) 17 時 11 分 51 秒 (日本時間)
1800Dmitry DomanovFebruary 23, 2022 16:33:39 UTC 2022 年 2 月 24 日 (木) 1 時 33 分 39 秒 (日本時間)

10275-379

c235

composite cofactor 合成数の残り
1325805763858809728062630353676336805147055468611564503969857243831047259323063332693636529464762702737819089930242972866306548289122980379793193812299898600969838725315842440900891897705144329624252566197384692060626507628748615893133<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 21, 2022 23:03:14 UTC 2022 年 1 月 22 日 (土) 8 時 3 分 14 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 15, 2022 10:15:52 UTC 2022 年 2 月 15 日 (火) 19 時 15 分 52 秒 (日本時間)

10276-379

c262

composite cofactor 合成数の残り
1024460817966007860897962920286043586329034848337976741232525881683101430354515405046610619181907626355259544572013220631870428343197010617160542235827883693920009880176439643366098032306749794175275648404765957563957904149974541676258754188860752385855715672629<262>

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 5, 2022 00:27:14 UTC 2022 年 1 月 5 日 (水) 9 時 27 分 14 秒 (日本時間)
4511e63600 / 42131800Dmitry DomanovFebruary 14, 2022 08:11:44 UTC 2022 年 2 月 14 日 (月) 17 時 11 分 44 秒 (日本時間)
1800Dmitry DomanovFebruary 23, 2022 16:34:05 UTC 2022 年 2 月 24 日 (木) 1 時 34 分 5 秒 (日本時間)

10277-379

c221

name 名前Dmitry Domanov
date 日付January 22, 2022 08:20:53 UTC 2022 年 1 月 22 日 (土) 17 時 20 分 53 秒 (日本時間)
composite number 合成数
10153039731536061949241351008131185276549777831678887541825090986193781200152982789741129565684988262037792315285124930578906036426027881664922166378077600580344221306413934233927240201737443394145536675888477077962717749<221>
prime factors 素因数
638092272245182237094650811328361943<36>
composite cofactor 合成数の残り
15911554132777260012505504638633077663579517521557342219133018045774452668347064600030981922879573650560239305789503384826667093467850491032251335798556423348752239238883944158158239443<185>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=999511164
Step 1 took 14371ms
Step 2 took 4607ms
********** Factor found in step 2: 638092272245182237094650811328361943
Found probable prime factor of 36 digits: 638092272245182237094650811328361943
Composite cofactor 15911554132777260012505504638633077663579517521557342219133018045774452668347064600030981922879573650560239305789503384826667093467850491032251335798556423348752239238883944158158239443 has 185 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJanuary 21, 2022 23:03:06 UTC 2022 年 1 月 22 日 (土) 8 時 3 分 6 秒 (日本時間)
2350Ignacio SantosJanuary 23, 2022 23:28:32 UTC 2022 年 1 月 24 日 (月) 8 時 28 分 32 秒 (日本時間)
4511e64480Ignacio SantosJanuary 24, 2022 21:37:18 UTC 2022 年 1 月 25 日 (火) 6 時 37 分 18 秒 (日本時間)
5043e61792 / 6415Dmitry DomanovApril 16, 2024 05:43:04 UTC 2024 年 4 月 16 日 (火) 14 時 43 分 4 秒 (日本時間)

10280-379

c270

composite cofactor 合成数の残り
203261784909219046107293320516914343542953449531310481030022442675771007227767902223669558331281131719419601890215577684965686493189294130541510586462068819279919413936776943137142747249198907300800534338060011112674236922037836511675879277483490964968567158231290285433<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 5, 2022 00:27:20 UTC 2022 年 1 月 5 日 (水) 9 時 27 分 20 秒 (日本時間)
4511e63600 / 42131800Dmitry DomanovFebruary 14, 2022 08:11:34 UTC 2022 年 2 月 14 日 (月) 17 時 11 分 34 秒 (日本時間)
1800Dmitry DomanovFebruary 23, 2022 16:32:25 UTC 2022 年 2 月 24 日 (木) 1 時 32 分 25 秒 (日本時間)

10281-379

c249

name 名前Dmitry Domanov
date 日付January 22, 2022 01:12:01 UTC 2022 年 1 月 22 日 (土) 10 時 12 分 1 秒 (日本時間)
composite number 合成数
134968222554255881410787900306284005505062005734475829836555498919572274223124984942626580134165650194236819114514909954616891596131956140439840711862448380697548772596246259765423425557389961935198921519440560098429958863381849336711350167807996253<249>
prime factors 素因数
441651434121098656925787397111015609<36>
composite cofactor 合成数の残り
305598968161050410647094674066068487285784679205497535165352382811141576691411231995956657156814780614018603634199933126158983378545668493743653029095959279293830988942417795043616547945323881953560225715310130117<213>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3503650608
Step 1 took 13415ms
Step 2 took 4827ms
********** Factor found in step 2: 441651434121098656925787397111015609
Found probable prime factor of 36 digits: 441651434121098656925787397111015609
Composite cofactor 305598968161050410647094674066068487285784679205497535165352382811141576691411231995956657156814780614018603634199933126158983378545668493743653029095959279293830988942417795043616547945323881953560225715310130117 has 213 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 21, 2022 20:13:03 UTC 2022 年 1 月 22 日 (土) 5 時 13 分 3 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 15, 2022 10:16:02 UTC 2022 年 2 月 15 日 (火) 19 時 16 分 2 秒 (日本時間)

10283-379

c263

composite cofactor 合成数の残り
19391166771614835788528879228700383068957137577931304069701235943101578195794140582115277724431941009977105228099004806248134356533066170844999222504757856979104246498949708594755853258494164381573630021069484955787858207234474788586791816276727156488136083803537<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 5, 2022 00:27:30 UTC 2022 年 1 月 5 日 (水) 9 時 27 分 30 秒 (日本時間)
4511e63600 / 42131800Dmitry DomanovFebruary 14, 2022 08:11:25 UTC 2022 年 2 月 14 日 (月) 17 時 11 分 25 秒 (日本時間)
1800Dmitry DomanovFebruary 23, 2022 16:32:25 UTC 2022 年 2 月 24 日 (木) 1 時 32 分 25 秒 (日本時間)

10284-379

c267

composite cofactor 合成数の残り
254274998667447706961380036410744038278378235706126580851781511685252079345920053640517597326951452561633268310654596575095718619165575495879665792857745912811998957780045083806617853937528300608318560576696188405642571173953035856583195103652402834818859346951222383<267>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 5, 2022 00:27:25 UTC 2022 年 1 月 5 日 (水) 9 時 27 分 25 秒 (日本時間)
4511e63600 / 42131800Dmitry DomanovFebruary 14, 2022 08:11:14 UTC 2022 年 2 月 14 日 (月) 17 時 11 分 14 秒 (日本時間)
1800Dmitry DomanovFebruary 23, 2022 16:32:55 UTC 2022 年 2 月 24 日 (木) 1 時 32 分 55 秒 (日本時間)

10286-379

c244

composite cofactor 合成数の残り
5976856775814045352367094660351849256377314977391796012481586734342586039516203778834318028142104202683760608119302400203553038178431950104176902588939994419720017313448887956167883891992386700230912481924788430907688417804319275478217370312931<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 21, 2022 20:13:59 UTC 2022 年 1 月 22 日 (土) 5 時 13 分 59 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 15, 2022 10:15:40 UTC 2022 年 2 月 15 日 (火) 19 時 15 分 40 秒 (日本時間)

10287-379

c219

composite cofactor 合成数の残り
928952186767173781113405968801638446467919980622538498326906158685639563893994836789353282665696141169623562639590936346247620864550736888177446953307763229051531098176665588648114769735880187243483086486378240498885411<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 21, 2022 20:13:45 UTC 2022 年 1 月 22 日 (土) 5 時 13 分 45 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 15, 2022 10:15:51 UTC 2022 年 2 月 15 日 (火) 19 時 15 分 51 秒 (日本時間)

10288-379

c221

name 名前Dmitry Domanov
date 日付January 22, 2022 19:43:22 UTC 2022 年 1 月 23 日 (日) 4 時 43 分 22 秒 (日本時間)
composite number 合成数
47595649595578992720249463099560547451280971203229943799255997450368453762748657425170896074179698970038054945390259921443256347754440614799522630677739028548687496250907182417458135498930996042054536105155559924586574933<221>
prime factors 素因数
692041817459314380742141554126358478681<39>
composite cofactor 合成数の残り
68775684351440473505736990216712047844197913680862371518411112143747522498551420146016103804546059036612039002133926899631088803225417342500560882976653211062996025950997791331129693<182>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3872125297
Step 1 took 14057ms
Step 2 took 5681ms
********** Factor found in step 2: 692041817459314380742141554126358478681
Found probable prime factor of 39 digits: 692041817459314380742141554126358478681
Composite cofactor 68775684351440473505736990216712047844197913680862371518411112143747522498551420146016103804546059036612039002133926899631088803225417342500560882976653211062996025950997791331129693 has 182 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJanuary 21, 2022 20:13:33 UTC 2022 年 1 月 22 日 (土) 5 時 13 分 33 秒 (日本時間)
2350Ignacio SantosJanuary 23, 2022 23:17:22 UTC 2022 年 1 月 24 日 (月) 8 時 17 分 22 秒 (日本時間)
4511e64480Ignacio SantosJanuary 24, 2022 20:25:01 UTC 2022 年 1 月 25 日 (火) 5 時 25 分 1 秒 (日本時間)
5043e61792 / 6415Dmitry DomanovApril 23, 2024 07:20:55 UTC 2024 年 4 月 23 日 (火) 16 時 20 分 55 秒 (日本時間)

10290-379

c262

composite cofactor 合成数の残り
1315971197142972147918655268068999208502530230885846724232749566477434113734007611517664348556438753882458195939071604442872782652003933353627782336426636695253962530207407929310655270378491297444713521669961306003051621304985129445393046160595149726830456105069<262>

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 4, 2022 19:48:10 UTC 2022 年 1 月 5 日 (水) 4 時 48 分 10 秒 (日本時間)
4511e63600 / 42131800Dmitry DomanovFebruary 14, 2022 08:11:07 UTC 2022 年 2 月 14 日 (月) 17 時 11 分 7 秒 (日本時間)
1800Dmitry DomanovFebruary 23, 2022 16:31:39 UTC 2022 年 2 月 24 日 (木) 1 時 31 分 39 秒 (日本時間)

10291-379

c291

name 名前ivelive
date 日付December 30, 2021 00:02:15 UTC 2021 年 12 月 30 日 (木) 9 時 2 分 15 秒 (日本時間)
composite number 合成数
111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111107<291>
prime factors 素因数
473520016647183714937859465583273247080389<42>
234649238057235463342887094277487674180109783586800422169948127166455546532362827710998010205915978290213782663491006003322795940517405401118513177072936843685329818654045623634193632010409377847762508304276829661503021703580928763163103120419519463<249>
factorization results 素因数分解の結果
12/30/21 00:46:28 v1.34.5 @ DESKTOP-RJPVCOL, Starting factorization of 111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111107
12/30/21 00:46:28 v1.34.5 @ DESKTOP-RJPVCOL, using pretesting plan: normal
12/30/21 00:46:28 v1.34.5 @ DESKTOP-RJPVCOL, no tune info: using qs/gnfs crossover of 95 digits
12/30/21 00:46:28 v1.34.5 @ DESKTOP-RJPVCOL, input indicated to have been pretested to t50.70
12/30/21 00:46:28 v1.34.5 @ DESKTOP-RJPVCOL, ****************************
12/30/21 00:46:28 v1.34.5 @ DESKTOP-RJPVCOL, rho: x^2 + 3, starting 1000 iterations on C291
12/30/21 00:46:28 v1.34.5 @ DESKTOP-RJPVCOL, rho: x^2 + 2, starting 1000 iterations on C291
12/30/21 00:46:28 v1.34.5 @ DESKTOP-RJPVCOL, rho: x^2 + 1, starting 1000 iterations on C291
12/30/21 00:46:28 v1.34.5 @ DESKTOP-RJPVCOL, nfs: input divides 10^291 - 37
12/30/21 00:46:28 v1.34.5 @ DESKTOP-RJPVCOL, nfs: using supplied cofactor: 111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111107
12/30/21 00:46:28 v1.34.5 @ DESKTOP-RJPVCOL, nfs: input divides 10^291 - 37
12/30/21 00:46:28 v1.34.5 @ DESKTOP-RJPVCOL, nfs: using supplied cofactor: 111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111107
12/30/21 00:46:28 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing snfs on c291: 111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111107
12/30/21 00:46:28 v1.34.5 @ DESKTOP-RJPVCOL, current ECM pretesting depth: 50.78
12/30/21 00:46:28 v1.34.5 @ DESKTOP-RJPVCOL, scheduled 17768 curves at B1=110000000 toward target pretesting depth of 69.64
12/30/21 02:49:36 v1.34.5 @ DESKTOP-RJPVCOL, prp42 = 473520016647183714937859465583273247080389 (curve 13 stg2 B1=110000000 sigma=3994218622 thread=1)
12/30/21 02:49:36 v1.34.5 @ DESKTOP-RJPVCOL, Finished 104 curves using Lenstra ECM method on C291 input, B1=110M, B2=gmp-ecm default
12/30/21 02:49:36 v1.34.5 @ DESKTOP-RJPVCOL, nfs: input divides 10^291 - 37
12/30/21 02:49:36 v1.34.5 @ DESKTOP-RJPVCOL, nfs: using supplied cofactor: 234649238057235463342887094277487674180109783586800422169948127166455546532362827710998010205915978290213782663491006003322795940517405401118513177072936843685329818654045623634193632010409377847762508304276829661503021703580928763163103120419519463
12/30/21 02:49:36 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing snfs on c249: 234649238057235463342887094277487674180109783586800422169948127166455546532362827710998010205915978290213782663491006003322795940517405401118513177072936843685329818654045623634193632010409377847762508304276829661503021703580928763163103120419519463
12/30/21 02:49:36 v1.34.5 @ DESKTOP-RJPVCOL, current ECM pretesting depth: 50.80
12/30/21 02:49:36 v1.34.5 @ DESKTOP-RJPVCOL, scheduled 17664 curves at B1=110000000 toward target pretesting depth of 59.59
12/30/21 02:49:37 v1.34.5 @ DESKTOP-RJPVCOL, prp249 = 234649238057235463342887094277487674180109783586800422169948127166455546532362827710998010205915978290213782663491006003322795940517405401118513177072936843685329818654045623634193632010409377847762508304276829661503021703580928763163103120419519463
12/30/21 02:49:37 v1.34.5 @ DESKTOP-RJPVCOL, Total factoring time = 7389.5972 seconds

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)

10292-379

c291

composite cofactor 合成数の残り
123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123<291>

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 4, 2022 19:48:16 UTC 2022 年 1 月 5 日 (水) 4 時 48 分 16 秒 (日本時間)
4511e63600 / 42131800Dmitry DomanovFebruary 14, 2022 08:10:55 UTC 2022 年 2 月 14 日 (月) 17 時 10 分 55 秒 (日本時間)
1800Dmitry DomanovFebruary 23, 2022 16:31:29 UTC 2022 年 2 月 24 日 (木) 1 時 31 分 29 秒 (日本時間)

10293-379

c262

name 名前Dmitry Domanov
date 日付February 15, 2022 14:42:50 UTC 2022 年 2 月 15 日 (火) 23 時 42 分 50 秒 (日本時間)
composite number 合成数
1175161170006551428140965566048102151779145927959784266232267885189088644809027468397771342130903302107388708776683579831202411782993811155011794082217475635840287330927284519863578394668302306442994574859459008257286874664457048589197214411314496833964876472857<262>
prime factors 素因数
41577592989002277946017094600338166655191<41>
composite cofactor 合成数の残り
28264290583569718430599665106335290396618866996355889889104345017623866366999033037166833595803287100224495081868240539279955763117343854403183431839356661020999198126550140917277751374111632496174509411499484025652739727<221>
factorization results 素因数分解の結果
Resuming ECM residue saved by @31e9ac48bfc2 with GMP-ECM 7.0.5-dev on Mon Feb 14 08:46:04 2022 
Input number is 1175161170006551428140965566048102151779145927959784266232267885189088644809027468397771342130903302107388708776683579831202411782993811155011794082217475635840287330927284519863578394668302306442994574859459008257286874664457048589197214411314496833964876472857 (262 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2746547241
Step 1 took 0ms
Step 2 took 16515ms
********** Factor found in step 2: 41577592989002277946017094600338166655191
Found prime factor of 41 digits: 41577592989002277946017094600338166655191
Composite cofactor 28264290583569718430599665106335290396618866996355889889104345017623866366999033037166833595803287100224495081868240539279955763117343854403183431839356661020999198126550140917277751374111632496174509411499484025652739727 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 4, 2022 18:37:42 UTC 2022 年 1 月 5 日 (水) 3 時 37 分 42 秒 (日本時間)
4511e61800 / 4213Dmitry DomanovFebruary 15, 2022 12:11:17 UTC 2022 年 2 月 15 日 (火) 21 時 11 分 17 秒 (日本時間)

10294-379

c281

composite cofactor 合成数の残り
11887894348491342301421337068934669842180978742897315617911488211241461012147785368814025791759775234456590219614796753107927160880419899786273528273645989146432733238181074439915241889529875790654509427865532229029941469683103056766160606522071372160945743236155588672580794440953<281>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 4, 2022 19:48:21 UTC 2022 年 1 月 5 日 (水) 4 時 48 分 21 秒 (日本時間)
4511e63600 / 42131800Dmitry DomanovFebruary 14, 2022 08:10:25 UTC 2022 年 2 月 14 日 (月) 17 時 10 分 25 秒 (日本時間)
1800Dmitry DomanovFebruary 23, 2022 16:30:34 UTC 2022 年 2 月 24 日 (木) 1 時 30 分 34 秒 (日本時間)

10296-379

c223

name 名前Dmitry Domanov
date 日付February 16, 2022 23:06:46 UTC 2022 年 2 月 17 日 (木) 8 時 6 分 46 秒 (日本時間)
composite number 合成数
3427674666663615401878236568456617504839525738603079071328185025300348447618091222388113081385957604222643328954432163415297146802340666039273131900442701452617033595914323156752613887570003145357159274650354473393935432861<223>
prime factors 素因数
1538644758640556496644550051916936664409533<43>
composite cofactor 合成数の残り
2227723226829875448226366518914527026489202596315800661376751323785564996523569153228564285247430153716443601282580529316539001401000068935844266609925082827050576161430882899947617<181>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2283323138
Step 1 took 54286ms
Step 2 took 17434ms
********** Factor found in step 2: 1538644758640556496644550051916936664409533
Found probable prime factor of 43 digits: 1538644758640556496644550051916936664409533
Composite cofactor 2227723226829875448226366518914527026489202596315800661376751323785564996523569153228564285247430153716443601282580529316539001401000068935844266609925082827050576161430882899947617 has 181 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 21, 2022 20:13:24 UTC 2022 年 1 月 22 日 (土) 5 時 13 分 24 秒 (日本時間)
4511e666801200Dmitry DomanovFebruary 15, 2022 10:16:03 UTC 2022 年 2 月 15 日 (火) 19 時 16 分 3 秒 (日本時間)
1000Dmitry DomanovFebruary 21, 2022 16:11:23 UTC 2022 年 2 月 22 日 (火) 1 時 11 分 23 秒 (日本時間)
4480Ignacio SantosMarch 6, 2022 20:31:59 UTC 2022 年 3 月 7 日 (月) 5 時 31 分 59 秒 (日本時間)
5043e61792 / 6010Dmitry DomanovApril 27, 2024 11:24:37 UTC 2024 年 4 月 27 日 (土) 20 時 24 分 37 秒 (日本時間)

10297-379

c231

composite cofactor 合成数の残り
449358270909120872395129751323001276615804589136175447714002906866406239667601242888097942657214187141441000464212437885093312716093731684220444841303700360452450998099083283970121066517878895372522962263693611091741075735946132533<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 21, 2022 20:13:14 UTC 2022 年 1 月 22 日 (土) 5 時 13 分 14 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 15, 2022 10:16:12 UTC 2022 年 2 月 15 日 (火) 19 時 16 分 12 秒 (日本時間)

10299-379

c269

name 名前Dmitry Domanov
date 日付January 5, 2022 13:18:47 UTC 2022 年 1 月 5 日 (水) 22 時 18 分 47 秒 (日本時間)
composite number 合成数
12132028032362288991770966575525688439791202141670624366012775275306198446184069081884942038607707208718921170888022085754221463360796915191497883305542590213285615004043309420353578293065958999195335983973626857232276127335910460259223332327740674340094268487688265319<269>
prime factors 素因数
403295882630089290848622100310740759378693<42>
composite cofactor 合成数の残り
30082201566858091398374464830093763907360167771273383801412809868273238378206637418849365104761545599190022115308965359151529025321407602098835479056855321538813048481844818488326412350709318399034133051232973280030150536226683<227>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2031127298
Step 1 took 18108ms
Step 2 took 5626ms
********** Factor found in step 2: 403295882630089290848622100310740759378693
Found probable prime factor of 42 digits: 403295882630089290848622100310740759378693
Composite cofactor 30082201566858091398374464830093763907360167771273383801412809868273238378206637418849365104761545599190022115308965359151529025321407602098835479056855321538813048481844818488326412350709318399034133051232973280030150536226683 has 227 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 4, 2022 19:48:29 UTC 2022 年 1 月 5 日 (水) 4 時 48 分 29 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 15, 2022 10:16:26 UTC 2022 年 2 月 15 日 (火) 19 時 16 分 26 秒 (日本時間)

10300-379

c278

composite cofactor 合成数の残り
32157028491792506451020914947134128976432111349129990900245093580249657769977347507236082235051873438921565910380850127866101665662693944581900040089169579419520836033011052067887578466892076363918943854182138526616913865102772039404606318598734570874788077357039338268799607271<278>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 29, 2021 00:18:55 UTC 2021 年 12 月 29 日 (水) 9 時 18 分 55 秒 (日本時間)
4511e636001800Dmitry DomanovDecember 31, 2021 09:23:05 UTC 2021 年 12 月 31 日 (金) 18 時 23 分 5 秒 (日本時間)
1800Dmitry DomanovJanuary 4, 2022 00:10:22 UTC 2022 年 1 月 4 日 (火) 9 時 10 分 22 秒 (日本時間)
5043e6200 / 6702Dmitry DomanovJanuary 6, 2022 14:44:34 UTC 2022 年 1 月 6 日 (木) 23 時 44 分 34 秒 (日本時間)