Table of contents 目次

536×10101-59

c95

name 名前Ignacio Santos
date 日付March 9, 2022 17:04:03 UTC 2022 年 3 月 10 日 (木) 2 時 4 分 3 秒 (日本時間)
composite number 合成数
25735140430887729419984501827901966755052710116864689089651312109615834634092239818312405250661<95>
prime factors 素因数
5095721531951298309925073055033877971389<40>
5050342776684856265153296387136788019011404650812373449<55>
factorization results 素因数分解の結果
prp40 = 5095721531951298309925073055033877971389
prp55 = 5050342776684856265153296387136788019011404650812373449
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 JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

536×10121-59

c104

name 名前Ignacio Santos
date 日付March 9, 2022 17:57:54 UTC 2022 年 3 月 10 日 (木) 2 時 57 分 54 秒 (日本時間)
composite number 合成数
60973270296518976786317631404088161691446961081884751257269455292295241384782431889311325661684277159183<104>
prime factors 素因数
49059576076177925272200129104923257502532941379<47>
1242841360916814700338971764131695965302819751157013387077<58>
factorization results 素因数分解の結果
N=60973270296518976786317631404088161691446961081884751257269455292295241384782431889311325661684277159183
  ( 104 digits)
SNFS difficulty: 123 digits.
Divisors found:
 r1=49059576076177925272200129104923257502532941379 (pp47)
 r2=1242841360916814700338971764131695965302819751157013387077 (pp58)
Version: Msieve v. 1.52 (SVN 927)
Total time: 1.04 hours.
Scaled time: 8.10 units (timescale=7.782).
Factorization parameters were as follows:
n: 60973270296518976786317631404088161691446961081884751257269455292295241384782431889311325661684277159183
m: 2000000000000000000000000000000
deg: 4
c4: 67
c0: -1
skew: 0.35
# Murphy_E = 3.508e-08
type: snfs
lss: 1
rlim: 790000
alim: 790000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2Factor base limits: 790000/790000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [395000, 695001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 74210 x 74435
Total sieving time: 1.03 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,123.000,4,0,0,0,0,0,0,0,0,790000,790000,25,25,46,46,2.2,2.2,75000
total time: 1.04 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 JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

536×10129-59

c100

name 名前ivelive
date 日付March 10, 2022 13:48:31 UTC 2022 年 3 月 10 日 (木) 22 時 48 分 31 秒 (日本時間)
composite number 合成数
1888134183191293529288252901447011565277330170251804348778101629314686427717039452772161192148017273<100>
prime factors 素因数
1530399495946345920126009202810617529<37>
1233752486323015218592415622802456847324372266996776770418790337<64>
factorization results 素因数分解の結果
03/10/22 21:48:26 v1.34.5 @ DESKTOP-BVSI96J, starting SIQS on c100: 1888134183191293529288252901447011565277330170251804348778101629314686427717039452772161192148017273
03/10/22 21:48:26 v1.34.5 @ DESKTOP-BVSI96J, random seeds: 523315706, 1409198720
03/10/22 21:48:26 v1.34.5 @ DESKTOP-BVSI96J, ==== sieve params ====
03/10/22 21:48:26 v1.34.5 @ DESKTOP-BVSI96J, n = 101 digits, 334 bits
03/10/22 21:48:26 v1.34.5 @ DESKTOP-BVSI96J, factor base: 115504 primes (max prime = 3203177)
03/10/22 21:48:26 v1.34.5 @ DESKTOP-BVSI96J, single large prime cutoff: 464460665 (145 * pmax)
03/10/22 21:48:26 v1.34.5 @ DESKTOP-BVSI96J, double large prime range from 44 to 52 bits
03/10/22 21:48:26 v1.34.5 @ DESKTOP-BVSI96J, double large prime cutoff: 3985731980882111
03/10/22 21:48:26 v1.34.5 @ DESKTOP-BVSI96J, allocating 9 large prime slices of factor base
03/10/22 21:48:26 v1.34.5 @ DESKTOP-BVSI96J, buckets hold 2048 elements
03/10/22 21:48:26 v1.34.5 @ DESKTOP-BVSI96J, using 32k sieve core
03/10/22 21:48:26 v1.34.5 @ DESKTOP-BVSI96J, sieve interval: 20 blocks of size 32768
03/10/22 21:48:26 v1.34.5 @ DESKTOP-BVSI96J, polynomial A has ~ 13 factors
03/10/22 21:48:26 v1.34.5 @ DESKTOP-BVSI96J, using multiplier of 17
03/10/22 21:48:26 v1.34.5 @ DESKTOP-BVSI96J, using SPV correction of 21 bits, starting at offset 33
03/10/22 21:48:26 v1.34.5 @ DESKTOP-BVSI96J, using SSE2 for trial division and x128 sieve scanning
03/10/22 21:48:26 v1.34.5 @ DESKTOP-BVSI96J, using SSE4.1 enabled 32k sieve core
03/10/22 21:48:26 v1.34.5 @ DESKTOP-BVSI96J, using SSE2 for resieving 13-16 bit primes
03/10/22 21:48:26 v1.34.5 @ DESKTOP-BVSI96J, trial factoring cutoff at 106 bits
03/10/22 21:48:26 v1.34.5 @ DESKTOP-BVSI96J, ==== sieving started (64 threads) ====
03/10/22 22:46:16 v1.34.5 @ DESKTOP-BVSI96J, trial division touched 98814103 sieve locations out of 3377661214720
03/10/22 22:46:16 v1.34.5 @ DESKTOP-BVSI96J, squfof: 2 failures, 1351082 attempts, 29237505 outside range, 6685359 prp, 1257421 useful
03/10/22 22:46:16 v1.34.5 @ DESKTOP-BVSI96J, 130920 relations found: 31334 full + 99586 from 1708213 partial, using 2576951 polys (1480 A polys)
03/10/22 22:46:16 v1.34.5 @ DESKTOP-BVSI96J, on average, sieving found 0.68 rels/poly and 501.22 rels/sec
03/10/22 22:46:16 v1.34.5 @ DESKTOP-BVSI96J, trial division touched 98814103 sieve locations out of 3377661214720
03/10/22 22:46:16 v1.34.5 @ DESKTOP-BVSI96J, ==== post processing stage (msieve-1.38) ====
03/10/22 22:46:18 v1.34.5 @ DESKTOP-BVSI96J, begin with 1739547 relations
03/10/22 22:46:19 v1.34.5 @ DESKTOP-BVSI96J, reduce to 332190 relations in 11 passes
03/10/22 22:46:26 v1.34.5 @ DESKTOP-BVSI96J, recovered 332190 relations
03/10/22 22:46:26 v1.34.5 @ DESKTOP-BVSI96J, recovered 311569 polynomials
03/10/22 22:46:26 v1.34.5 @ DESKTOP-BVSI96J, freed 59 duplicate relations
03/10/22 22:46:26 v1.34.5 @ DESKTOP-BVSI96J, attempting to build 130861 cycles
03/10/22 22:46:26 v1.34.5 @ DESKTOP-BVSI96J, found 130861 cycles in 5 passes
03/10/22 22:46:26 v1.34.5 @ DESKTOP-BVSI96J, distribution of cycle lengths:
03/10/22 22:46:26 v1.34.5 @ DESKTOP-BVSI96J,    length 1 : 31333
03/10/22 22:46:26 v1.34.5 @ DESKTOP-BVSI96J,    length 2 : 23737
03/10/22 22:46:26 v1.34.5 @ DESKTOP-BVSI96J,    length 3 : 22940
03/10/22 22:46:26 v1.34.5 @ DESKTOP-BVSI96J,    length 4 : 17991
03/10/22 22:46:26 v1.34.5 @ DESKTOP-BVSI96J,    length 5 : 13478
03/10/22 22:46:26 v1.34.5 @ DESKTOP-BVSI96J,    length 6 : 8947
03/10/22 22:46:26 v1.34.5 @ DESKTOP-BVSI96J,    length 7 : 5458
03/10/22 22:46:26 v1.34.5 @ DESKTOP-BVSI96J,    length 9+: 6977
03/10/22 22:46:26 v1.34.5 @ DESKTOP-BVSI96J, largest cycle: 20 relations
03/10/22 22:46:27 v1.34.5 @ DESKTOP-BVSI96J, matrix is 115504 x 130861 (39.9 MB) with weight 9401422 (71.84/col)
03/10/22 22:46:27 v1.34.5 @ DESKTOP-BVSI96J, sparse part has weight 9401422 (71.84/col)
03/10/22 22:46:28 v1.34.5 @ DESKTOP-BVSI96J, filtering completed in 4 passes
03/10/22 22:46:28 v1.34.5 @ DESKTOP-BVSI96J, matrix is 107049 x 107113 (29.0 MB) with weight 6741942 (62.94/col)
03/10/22 22:46:28 v1.34.5 @ DESKTOP-BVSI96J, sparse part has weight 6741942 (62.94/col)
03/10/22 22:46:29 v1.34.5 @ DESKTOP-BVSI96J, saving the first 48 matrix rows for later
03/10/22 22:46:29 v1.34.5 @ DESKTOP-BVSI96J, matrix is 107001 x 107113 (24.6 MB) with weight 5870826 (54.81/col)
03/10/22 22:46:29 v1.34.5 @ DESKTOP-BVSI96J, sparse part has weight 5368777 (50.12/col)
03/10/22 22:46:29 v1.34.5 @ DESKTOP-BVSI96J, matrix includes 64 packed rows
03/10/22 22:46:29 v1.34.5 @ DESKTOP-BVSI96J, using block size 42845 for processor cache size 8192 kB
03/10/22 22:46:32 v1.34.5 @ DESKTOP-BVSI96J, commencing Lanczos iteration
03/10/22 22:46:32 v1.34.5 @ DESKTOP-BVSI96J, memory use: 19.6 MB
03/10/22 22:47:51 v1.34.5 @ DESKTOP-BVSI96J, lanczos halted after 1694 iterations (dim = 106997)
03/10/22 22:47:51 v1.34.5 @ DESKTOP-BVSI96J, recovered 15 nontrivial dependencies
03/10/22 22:47:53 v1.34.5 @ DESKTOP-BVSI96J, prp37 = 1530399495946345920126009202810617529
03/10/22 22:47:53 v1.34.5 @ DESKTOP-BVSI96J, prp64 = 1233752486323015218592415622802456847324372266996776770418790337
03/10/22 22:47:53 v1.34.5 @ DESKTOP-BVSI96J, Lanczos elapsed time = 94.8870 seconds.
03/10/22 22:47:53 v1.34.5 @ DESKTOP-BVSI96J, Sqrt elapsed time = 1.9050 seconds.
03/10/22 22:47:53 v1.34.5 @ DESKTOP-BVSI96J, SIQS elapsed time = 3567.4051 seconds.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

536×10138-59

c122

name 名前Ignacio Santos
date 日付March 10, 2022 23:18:42 UTC 2022 年 3 月 11 日 (金) 8 時 18 分 42 秒 (日本時間)
composite number 合成数
87795268030395853107066205248673545318632447570875512542862674818713528343004494709130080405037738155985153905346390649453<122>
prime factors 素因数
65722353557466898941694361597298192613<38>
1335850943828854849467409477651509472525072115691315448166471765162528425797601960681<85>
factorization results 素因数分解の結果
N=87795268030395853107066205248673545318632447570875512542862674818713528343004494709130080405037738155985153905346390649453
  ( 122 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=65722353557466898941694361597298192613 (pp38)
 r2=1335850943828854849467409477651509472525072115691315448166471765162528425797601960681 (pp85)
Version: Msieve v. 1.52 (SVN 927)
Total time: 6.02 hours.
Scaled time: 46.88 units (timescale=7.788).
Factorization parameters were as follows:
n: 87795268030395853107066205248673545318632447570875512542862674818713528343004494709130080405037738155985153905346390649453
m: 20000000000000000000000000000000000
deg: 4
c4: 670
c0: -1
skew: 0.20
# Murphy_E = 4.28e-09
type: snfs
lss: 1
rlim: 1510000
alim: 1510000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1510000/1510000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [755000, 1355001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 190483 x 190708
Total sieving time: 5.99 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,140.000,4,0,0,0,0,0,0,0,0,1510000,1510000,26,26,48,48,2.3,2.3,100000
total time: 6.02 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

536×10140-59

c127

name 名前Ignacio Santos
date 日付March 11, 2022 18:22:22 UTC 2022 年 3 月 12 日 (土) 3 時 22 分 22 秒 (日本時間)
composite number 合成数
8112855792582842381807788610816502283813522373372090344208037756560674468396379131979917423601947163762882773131127660658222221<127>
prime factors 素因数
104702189272328530576017512989968774452226390329<48>
77485063578579516383023623409762512367411879380695102983822276665179430212200949<80>
factorization results 素因数分解の結果
N=8112855792582842381807788610816502283813522373372090344208037756560674468396379131979917423601947163762882773131127660658222221
  ( 127 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=104702189272328530576017512989968774452226390329 (pp48)
 r2=77485063578579516383023623409762512367411879380695102983822276665179430212200949 (pp80)
Version: Msieve v. 1.52 (SVN 927)
Total time: 6.80 hours.
Scaled time: 53.49 units (timescale=7.862).
Factorization parameters were as follows:
n: 8112855792582842381807788610816502283813522373372090344208037756560674468396379131979917423601947163762882773131127660658222221
m: 100000000000000000000000000000000000
deg: 4
c4: 536
c0: -5
skew: 0.31
# Murphy_E = 2.848e-09
type: snfs
lss: 1
rlim: 1670000
alim: 1670000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1670000/1670000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [835000, 1535001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 297906 x 298138
Total sieving time: 6.76 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,142.000,4,0,0,0,0,0,0,0,0,1670000,1670000,26,26,48,48,2.3,2.3,100000
total time: 6.80 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

536×10142-59

c137

name 名前Ignacio Santos
date 日付March 12, 2022 09:00:51 UTC 2022 年 3 月 12 日 (土) 18 時 0 分 51 秒 (日本時間)
composite number 合成数
12196760460778591809140359238513009648377066854551390122929123475827334876655879473979662197748603172265895612956104371092535399419045089<137>
prime factors 素因数
37437653906298293225363997552877020858767<41>
325788589512193758031264266484383354747834405597949756278532211262667805497302941217470540993167<96>
factorization results 素因数分解の結果
N=12196760460778591809140359238513009648377066854551390122929123475827334876655879473979662197748603172265895612956104371092535399419045089
  ( 137 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=37437653906298293225363997552877020858767 (pp41)
 r2=325788589512193758031264266484383354747834405597949756278532211262667805497302941217470540993167 (pp96)
Version: Msieve v. 1.52 (SVN 927)
Total time: 3.74 hours.
Scaled time: 29.55 units (timescale=7.899).
Factorization parameters were as follows:
n: 12196760460778591809140359238513009648377066854551390122929123475827334876655879473979662197748603172265895612956104371092535399419045089
m: 20000000000000000000000000000
deg: 5
c5: 335
c0: -1
skew: 0.31
# Murphy_E = 2.987e-09
type: snfs
lss: 1
rlim: 1760000
alim: 1760000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1760000/1760000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [880000, 1680001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 232211 x 232439
Total sieving time: 3.70 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,144.000,5,0,0,0,0,0,0,0,0,1760000,1760000,26,26,49,49,2.3,2.3,100000
total time: 3.74 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 JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

536×10145-59

c139

name 名前Ignacio Santos
date 日付March 12, 2022 12:21:06 UTC 2022 年 3 月 12 日 (土) 21 時 21 分 6 秒 (日本時間)
composite number 合成数
3131039088391426945099107624360279718737239902180614217632002088823659297313456597610635726205714449509688771180511936048199496118257780849<139>
prime factors 素因数
685461669579856980505392912082861920596514594147904680131723844314959<69>
4567781434533820730480166742577659900477683762802761459419355996955711<70>
factorization results 素因数分解の結果
N=3131039088391426945099107624360279718737239902180614217632002088823659297313456597610635726205714449509688771180511936048199496118257780849
  ( 139 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=685461669579856980505392912082861920596514594147904680131723844314959 (pp69)
 r2=4567781434533820730480166742577659900477683762802761459419355996955711 (pp70)
Version: Msieve v. 1.52 (SVN 927)
Total time: 9.03 hours.
Scaled time: 70.47 units (timescale=7.806).
Factorization parameters were as follows:
n: 3131039088391426945099107624360279718737239902180614217632002088823659297313456597610635726205714449509688771180511936048199496118257780849
m: 2000000000000000000000000000000000000
deg: 4
c4: 67
c0: -1
skew: 0.35
# Murphy_E = 2.29e-09
type: snfs
lss: 1
rlim: 1980000
alim: 1980000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1980000/1980000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [990000, 1890001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 259737 x 259962
Total sieving time: 8.99 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,147.000,4,0,0,0,0,0,0,0,0,1980000,1980000,26,26,49,49,2.3,2.3,100000
total time: 9.03 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

536×10147-59

c133

name 名前Ignacio Santos
date 日付March 13, 2022 14:15:55 UTC 2022 年 3 月 13 日 (日) 23 時 15 分 55 秒 (日本時間)
composite number 合成数
4433258722217525095896174205094595585096763006115692379269136885510635948848462276759065443661694827632102195521094408225138577738807<133>
prime factors 素因数
523204896550237334642722917343501463589948391677517<51>
8473274526764392328227095950161900535127915430302243629843163598364136744289140371<82>
factorization results 素因数分解の結果
N=4433258722217525095896174205094595585096763006115692379269136885510635948848462276759065443661694827632102195521094408225138577738807
  ( 133 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=523204896550237334642722917343501463589948391677517 (pp51)
 r2=8473274526764392328227095950161900535127915430302243629843163598364136744289140371 (pp82)
Version: Msieve v. 1.52 (SVN 927)
Total time: 5.09 hours.
Scaled time: 40.32 units (timescale=7.924).
Factorization parameters were as follows:
n: 4433258722217525095896174205094595585096763006115692379269136885510635948848462276759065443661694827632102195521094408225138577738807
m: 200000000000000000000000000000
deg: 5
c5: 335
c0: -1
skew: 0.31
# Murphy_E = 1.938e-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 : 310547 x 310772
Total sieving time: 5.01 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,149.000,5,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
total time: 5.09 hours.
software ソフトウェア
NFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

536×10149-59

c123

name 名前Ignacio Santos
date 日付March 13, 2022 19:11:49 UTC 2022 年 3 月 14 日 (月) 4 時 11 分 49 秒 (日本時間)
composite number 合成数
766836381006320093667749759853516831209113710699817130202222070727330043574886829720397751327690778193588959014455772477171<123>
prime factors 素因数
771831168846330483903721972798943553645314038337<48>
993528652324994614072548468840375281240955406962198249597432888964737989683<75>
factorization results 素因数分解の結果
N=766836381006320093667749759853516831209113710699817130202222070727330043574886829720397751327690778193588959014455772477171
  ( 123 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=771831168846330483903721972798943553645314038337 (pp48)
 r2=993528652324994614072548468840375281240955406962198249597432888964737989683 (pp75)
Version: Msieve v. 1.52 (SVN 927)
Total time: 11.60 hours.
Scaled time: 90.73 units (timescale=7.819).
Factorization parameters were as follows:
n: 766836381006320093667749759853516831209113710699817130202222070727330043574886829720397751327690778193588959014455772477171
m: 20000000000000000000000000000000000000
deg: 4
c4: 67
c0: -1
skew: 0.35
# Murphy_E = 1.43e-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, 2250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 386573 x 386799
Total sieving time: 11.53 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,151.000,4,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 11.60 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 JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

536×10150-59

c124

name 名前Ignacio Santos
date 日付March 13, 2022 19:40:14 UTC 2022 年 3 月 14 日 (月) 4 時 40 分 14 秒 (日本時間)
composite number 合成数
1322903825868905588527214748455005445260818956657408001067856948132339174266945939289076819038557537637725635022037055054449<124>
prime factors 素因数
81136224802851634559316409314938115455666013451<47>
16304724912742187032171256526307211987082887752302408739198645312774225062899<77>
factorization results 素因数分解の結果
N=1322903825868905588527214748455005445260818956657408001067856948132339174266945939289076819038557537637725635022037055054449
  ( 124 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=81136224802851634559316409314938115455666013451 (pp47)
 r2=16304724912742187032171256526307211987082887752302408739198645312774225062899 (pp77)
Version: Msieve v. 1.52 (SVN 927)
Total time: 13.96 hours.
Scaled time: 109.67 units (timescale=7.855).
Factorization parameters were as follows:
n: 1322903825868905588527214748455005445260818956657408001067856948132339174266945939289076819038557537637725635022037055054449
m: 20000000000000000000000000000000000000
deg: 4
c4: 670
c0: -1
skew: 0.20
# Murphy_E = 1.055e-09
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1200000, 2500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 491374 x 491601
Total sieving time: 13.87 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,152.000,4,0,0,0,0,0,0,0,0,2400000,2400000,27,27,50,50,2.4,2.4,100000
total time: 13.96 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 JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

536×10151-59

c116

name 名前Ignacio Santos
date 日付March 13, 2022 20:40:01 UTC 2022 年 3 月 14 日 (月) 5 時 40 分 1 秒 (日本時間)
composite number 合成数
22545995918154351553123256254490531619778285988150566389744295071393594495434352320973621318491274794327924709887587<116>
prime factors 素因数
7117231294873295967842710591677390431<37>
3167804302551576010196497469226487351671826824384910320175328295033446925092477<79>
factorization results 素因数分解の結果
N=22545995918154351553123256254490531619778285988150566389744295071393594495434352320973621318491274794327924709887587
  ( 116 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=7117231294873295967842710591677390431 (pp37)
 r2=3167804302551576010196497469226487351671826824384910320175328295033446925092477 (pp79)
Version: Msieve v. 1.52 (SVN 927)
Total time: 9.00 hours.
Scaled time: 71.01 units (timescale=7.886).
Factorization parameters were as follows:
n: 22545995918154351553123256254490531619778285988150566389744295071393594495434352320973621318491274794327924709887587
m: 1000000000000000000000000000000
deg: 5
c5: 1072
c0: -1
skew: 0.25
# Murphy_E = 1.175e-09
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1250000, 1950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 440000 x 440228
Total sieving time: 8.92 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,153.000,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 9.00 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 JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

536×10154-59

c124

name 名前Ignacio Santos
date 日付March 11, 2022 20:01:34 UTC 2022 年 3 月 12 日 (土) 5 時 1 分 34 秒 (日本時間)
composite number 合成数
8269725820260017838202201274339395006830112682644503489989686009942990981831324630344269602217831613412443901713511495126639<124>
prime factors 素因数
5490821696559134794551496020729761048304173448004512910393<58>
1506099865789177685796434515792706993450555182851745954474217013223<67>
factorization results 素因数分解の結果
N=8269725820260017838202201274339395006830112682644503489989686009942990981831324630344269602217831613412443901713511495126639
  ( 124 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=5490821696559134794551496020729761048304173448004512910393 (pp58)
 r2=1506099865789177685796434515792706993450555182851745954474217013223 (pp67)
Version: Msieve v. 1.52 (SVN 927)
Total time: 12.36 hours.
Scaled time: 97.68 units (timescale=7.905).
Factorization parameters were as follows:
n: 8269725820260017838202201274339395006830112682644503489989686009942990981831324630344269602217831613412443901713511495126639
m: 2000000000000000000000000000000
deg: 5
c5: 33500
c0: -1
skew: 0.12
# Murphy_E = 7.795e-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, 2400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 476993 x 477220
Total sieving time: 12.20 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.07 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: 12.36 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 JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

536×10155-59

c150

name 名前Bob Backstrom
date 日付March 13, 2022 00:42:05 UTC 2022 年 3 月 13 日 (日) 9 時 42 分 5 秒 (日本時間)
composite number 合成数
110788676789547948197323025191061118960881582706367086230206613337834330023201236542185770267214950733505268678508426000775458728939080293380404465689<150>
prime factors 素因数
184469918991862000825864061050014855138761719393026695186606462497<66>
600578551749867987720356776149757514596942896114619935664064845069594188502725298937<84>
factorization results 素因数分解の結果
Number: n
N=110788676789547948197323025191061118960881582706367086230206613337834330023201236542185770267214950733505268678508426000775458728939080293380404465689  ( 150 digits)
SNFS difficulty: 157 digits.
Divisors found:

Sun Mar 13 11:37:09 2022  p66 factor: 184469918991862000825864061050014855138761719393026695186606462497
Sun Mar 13 11:37:09 2022  p84 factor: 600578551749867987720356776149757514596942896114619935664064845069594188502725298937
Sun Mar 13 11:37:09 2022  elapsed time 00:07:56 (Msieve 1.54 - dependency 6)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.298).
Factorization parameters were as follows:
#
# N = 536x10^155-5 = 595(155)
#
n: 110788676789547948197323025191061118960881582706367086230206613337834330023201236542185770267214950733505268678508426000775458728939080293380404465689
m: 10000000000000000000000000000000
deg: 5
c5: 536
c0: -5
skew: 0.39
# Murphy_E = 6.768e-10
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2088416 hash collisions in 16761129 relations (15677883 unique)
Msieve: matrix is 448151 x 448398 (85.5 MB)

Sieving start time : 2022/03/13 11:07:50
Sieving end time  : 2022/03/13 11:28:35

Total sieving time: 0hrs 20min 45secs.

Total relation processing time: 0hrs 1min 54sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 55sec.

Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116350] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.153515] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.24 BogoMIPS (lpj=12798496)
[    0.152039] smpboot: Total of 16 processors activated (102387.96 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

536×10162-59

c131

name 名前Ignacio Santos
date 日付March 10, 2022 21:49:19 UTC 2022 年 3 月 11 日 (金) 6 時 49 分 19 秒 (日本時間)
composite number 合成数
22563834612668113974743431797441080207865556487184153690926780182360076768725976366432146341562354270182806455312529670543446642473<131>
prime factors 素因数
155453332815098769946975201116585826159<39>
composite cofactor 合成数の残り
145148606363469027916121668402356541846411456761123487934743751012388940233985597556398307047<93>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2858869952
Step 1 took 2563ms
Step 2 took 2234ms
********** Factor found in step 2: 155453332815098769946975201116585826159
Found prime factor of 39 digits: 155453332815098769946975201116585826159
Composite cofactor 145148606363469027916121668402356541846411456761123487934743751012388940233985597556398307047 has 93 digits
software ソフトウェア
GMP-ECM

c93

name 名前Dmitry Domanov
date 日付March 12, 2022 22:47:01 UTC 2022 年 3 月 13 日 (日) 7 時 47 分 1 秒 (日本時間)
composite number 合成数
145148606363469027916121668402356541846411456761123487934743751012388940233985597556398307047<93>
prime factors 素因数
525375999998455900312241968759265357810317<42>
276275669927624453899287470731696935523599591834691<51>
factorization results 素因数分解の結果
PRP51 = 276275669927624453899287470731696935523599591834691
PRP42 = 525375999998455900312241968759265357810317
software ソフトウェア
YAFU/SIQS

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

536×10166-59

c161

name 名前Bob Backstrom
date 日付March 12, 2022 10:35:24 UTC 2022 年 3 月 12 日 (土) 19 時 35 分 24 秒 (日本時間)
composite number 合成数
28476453678465826807855686645528743858735326159126476282979126892272964765674780251164977829672926944056545736571499261644339347204394554335132317356156785934927<161>
prime factors 素因数
61503634073317382072238205726264792441<38>
463004407910588758575544025859143120451633008299780527942171262493701822873790512484639277450939066135259841749920208522247<123>
factorization results 素因数分解の結果
Number: n
N=28476453678465826807855686645528743858735326159126476282979126892272964765674780251164977829672926944056545736571499261644339347204394554335132317356156785934927  ( 161 digits)
SNFS difficulty: 168 digits.
Divisors found:

Sat Mar 12 21:30:32 2022  p38 factor: 61503634073317382072238205726264792441
Sat Mar 12 21:30:32 2022  p123 factor: 463004407910588758575544025859143120451633008299780527942171262493701822873790512484639277450939066135259841749920208522247
Sat Mar 12 21:30:32 2022  elapsed time 00:12:49 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.308).
Factorization parameters were as follows:
#
# N = 536x10^166-5 = 595(166)
#
n: 28476453678465826807855686645528743858735326159126476282979126892272964765674780251164977829672926944056545736571499261644339347204394554335132317356156785934927
m: 1000000000000000000000000000000000
deg: 5
c5: 1072
c0: -1
skew: 0.25
# Murphy_E = 3.078e-10
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 7800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2093665 hash collisions in 16687569 relations (15585496 unique)
Msieve: matrix is 549584 x 549813 (185.6 MB)

Sieving start time : 2022/03/12 20:23:11
Sieving end time  : 2022/03/12 21:17:10

Total sieving time: 0hrs 53min 59secs.

Total relation processing time: 0hrs 4min 35sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 33sec.

Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116350] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.153515] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.24 BogoMIPS (lpj=12798496)
[    0.152039] smpboot: Total of 16 processors activated (102387.96 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

536×10167-59

c166

name 名前Bob Backstrom
date 日付March 12, 2022 08:03:05 UTC 2022 年 3 月 12 日 (土) 17 時 3 分 5 秒 (日本時間)
composite number 合成数
1252482766678350274564785605795069517466993807687813996962261946489075826615258791914943334501694123145227246173618413366047435448066362892861315574249328192545858161<166>
prime factors 素因数
1109808026422774944271752674166753921617552073760291085387<58>
1128558036037508539131423876563933942322524201527141445425468053773108720468926419801672232761008691570446003<109>
factorization results 素因数分解の結果
Number: n
N=1252482766678350274564785605795069517466993807687813996962261946489075826615258791914943334501694123145227246173618413366047435448066362892861315574249328192545858161  ( 166 digits)
SNFS difficulty: 169 digits.
Divisors found:

Sat Mar 12 18:57:47 2022  p58 factor: 1109808026422774944271752674166753921617552073760291085387
Sat Mar 12 18:57:47 2022  p109 factor: 1128558036037508539131423876563933942322524201527141445425468053773108720468926419801672232761008691570446003
Sat Mar 12 18:57:47 2022  elapsed time 00:08:36 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.313).
Factorization parameters were as follows:
#
# N = 536x10^167-5 = 595(167)
#
n: 1252482766678350274564785605795069517466993807687813996962261946489075826615258791914943334501694123145227246173618413366047435448066362892861315574249328192545858161
m: 2000000000000000000000000000000000
deg: 5
c5: 335
c0: -1
skew: 0.31
# Murphy_E = 3.263e-10
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 7900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1625249 hash collisions in 16527239 relations (15589082 unique)
Msieve: matrix is 530010 x 530245 (180.3 MB)

Sieving start time : 2022/03/12 18:03:40
Sieving end time  : 2022/03/12 18:48:24

Total sieving time: 0hrs 44min 44secs.

Total relation processing time: 0hrs 4min 4sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 31sec.

Prototype def-par.txt line would be:
snfs,169,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116350] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.153515] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.24 BogoMIPS (lpj=12798496)
[    0.152039] smpboot: Total of 16 processors activated (102387.96 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

536×10169-59

c105

name 名前Taiyo Kodama
date 日付March 10, 2022 09:50:58 UTC 2022 年 3 月 10 日 (木) 18 時 50 分 58 秒 (日本時間)
composite number 合成数
299213112416127684203465379231523652778209931110346929661230227011591592402593043222939561077221940589613<105>
prime factors 素因数
5974959939948338146391941045852452347<37>
50077844106635934776612009005689760247967367531751374426243725618679<68>
factorization results 素因数分解の結果
974959939948338146391941045852452347 50077844106635934776612009005689760247967367531751374426243725618679

n: 299213112416127684203465379231523652778209931110346929661230227011591592402593043222939561077221940589613
skew: 21492.823
c0: -20576451972124615214700
c1: 1300029538818078857584
c2: 22619997658627077
c3: -8586051881627
c4: -25091170
c5: 600
Y0: -346411547483778006629
Y1: 2519328625991
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 3.292e-06
# f(x) = 600*x^5-25091170*x^4-8586051881627*x^3+22619997658627077*x^2+1300029538818078857584*x-20576451972124615214700
# g(x) = 2519328625991*x-346411547483778006629
software ソフトウェア
cado-nfs 3.0.0

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

536×10173-59

c132

name 名前Bob Backstrom
date 日付May 12, 2022 04:48:15 UTC 2022 年 5 月 12 日 (木) 13 時 48 分 15 秒 (日本時間)
composite number 合成数
725518191897407133889718209083024887345621905135522990343380804677908368304508351564547257341717239026375566740453768454621468147237<132>
prime factors 素因数
17625155612528671579129557768925834248853921<44>
41163789293393786372036221717504264978354205933831738889659018486079552604679267931028997<89>
factorization results 素因数分解の結果
Number: n
N=725518191897407133889718209083024887345621905135522990343380804677908368304508351564547257341717239026375566740453768454621468147237  ( 132 digits)
SNFS difficulty: 175 digits.
Divisors found:

Thu May 12 11:27:41 2022  p44 factor: 17625155612528671579129557768925834248853921
Thu May 12 11:27:41 2022  p89 factor: 41163789293393786372036221717504264978354205933831738889659018486079552604679267931028997
Thu May 12 11:27:41 2022  elapsed time 00:18:53 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 536x10^173-5 = 595(173)
#
n: 725518191897407133889718209083024887345621905135522990343380804677908368304508351564547257341717239026375566740453768454621468147237
m: 20000000000000000000000000000000000
deg: 5
c5: 3350
c0: -1
skew: 0.20
# Murphy_E = 1.36e-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, 30100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3884423 hash collisions in 28671197 relations (26272115 unique)
Msieve: matrix is 873248 x 873474 (292.8 MB)

Sieving start time : 2022/05/12 07:34:25
Sieving end time  : 2022/05/12 11:07:43

Total sieving time: 3hrs 33min 18secs.

Total relation processing time: 0hrs 11min 21sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 56sec.

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) ----------
[    0.119221] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153514] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152035] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 11, 2022 16:14:26 UTC 2022 年 3 月 12 日 (土) 1 時 14 分 26 秒 (日本時間)

536×10174-59

c84

name 名前Ignacio Santos
date 日付March 9, 2022 16:12:45 UTC 2022 年 3 月 10 日 (木) 1 時 12 分 45 秒 (日本時間)
composite number 合成数
481463825461452013825794161284481294999147114054342524044971480286034650903227622661<84>
prime factors 素因数
33714883411308667710830764245268711687<38>
14280453519230000072219093162116097941587974803<47>
factorization results 素因数分解の結果
prp47 = 14280453519230000072219093162116097941587974803
prp38 = 33714883411308667710830764245268711687
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 JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

536×10177-59

c167

name 名前Bob Backstrom
date 日付March 14, 2022 19:47:32 UTC 2022 年 3 月 15 日 (火) 4 時 47 分 32 秒 (日本時間)
composite number 合成数
64536908656208360566250889058059852375589260544434649862217459625037245232111424701430490652698019559951397237884539511408218149074685447536286769387130912052749345607<167>
prime factors 素因数
166778419791037938817693961848965470183344115668487170233231217260659<69>
386961986671109696927492221057001463817380446527819422895536883180952377147200543714103627628132573<99>
factorization results 素因数分解の結果
Number: n
N=64536908656208360566250889058059852375589260544434649862217459625037245232111424701430490652698019559951397237884539511408218149074685447536286769387130912052749345607  ( 167 digits)
SNFS difficulty: 179 digits.
Divisors found:

Tue Mar 15 06:41:52 2022  p69 factor: 166778419791037938817693961848965470183344115668487170233231217260659
Tue Mar 15 06:41:52 2022  p99 factor: 386961986671109696927492221057001463817380446527819422895536883180952377147200543714103627628132573
Tue Mar 15 06:41:52 2022  elapsed time 00:23:02 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.311).
Factorization parameters were as follows:
#
# N = 536x10^177-5 = 595(177)
#
n: 64536908656208360566250889058059852375589260544434649862217459625037245232111424701430490652698019559951397237884539511408218149074685447536286769387130912052749345607
m: 200000000000000000000000000000000000
deg: 5
c5: 335
c0: -1
skew: 0.31
# Murphy_E = 1.301e-10
type: snfs
lss: 1
rlim: 6700000
alim: 6700000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6700000/6700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 37750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4325818 hash collisions in 34533357 relations (32262668 unique)
Msieve: matrix is 871775 x 872001 (293.3 MB)

Sieving start time : 2022/03/15 01:17:02
Sieving end time  : 2022/03/15 06:14:49

Total sieving time: 4hrs 57min 47secs.

Total relation processing time: 0hrs 11min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 34sec.

Prototype def-par.txt line would be:
snfs,179,5,0,0,0,0,0,0,0,0,6700000,6700000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116350] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.153515] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.24 BogoMIPS (lpj=12798496)
[    0.152039] smpboot: Total of 16 processors activated (102387.96 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 12, 2022 15:57:52 UTC 2022 年 3 月 13 日 (日) 0 時 57 分 52 秒 (日本時間)

536×10178-59

c99

name 名前Ignacio Santos
date 日付March 9, 2022 16:37:15 UTC 2022 年 3 月 10 日 (木) 1 時 37 分 15 秒 (日本時間)
composite number 合成数
119057883576882534211021170010665543542611994254259691469631847522720733415636406793095421787631931<99>
prime factors 素因数
5368853301737684349202957450697026901175890519<46>
22175663383901406100185788641937290084604656402223549<53>
factorization results 素因数分解の結果
prp46 = 5368853301737684349202957450697026901175890519
prp53 = 22175663383901406100185788641937290084604656402223549
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 JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

536×10181-59

c172

name 名前Bob Backstrom
date 日付March 13, 2022 23:13:59 UTC 2022 年 3 月 14 日 (月) 8 時 13 分 59 秒 (日本時間)
composite number 合成数
8654075584677895831431985196762160805679756650518421813023472530832723197048485465621568236796349594101279001110108108836730915322936925558663348651495241100993908323919883<172>
prime factors 素因数
8749702947862183060525658422725221431875543499591489090318105414033<67>
989070787459401477761244437227629623299809001964321510580724899374350862032646349088925066729074400127451<105>
factorization results 素因数分解の結果
Number: n
N=8654075584677895831431985196762160805679756650518421813023472530832723197048485465621568236796349594101279001110108108836730915322936925558663348651495241100993908323919883  ( 172 digits)
SNFS difficulty: 183 digits.
Divisors found:

Mon Mar 14 10:08:13 2022  p67 factor: 8749702947862183060525658422725221431875543499591489090318105414033
Mon Mar 14 10:08:13 2022  p105 factor: 989070787459401477761244437227629623299809001964321510580724899374350862032646349088925066729074400127451
Mon Mar 14 10:08:13 2022  elapsed time 00:21:31 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.295).
Factorization parameters were as follows:
#
# N = 536x10^181-5 = 595(181)
#
n: 8654075584677895831431985196762160805679756650518421813023472530832723197048485465621568236796349594101279001110108108836730915322936925558663348651495241100993908323919883
m: 1000000000000000000000000000000000000
deg: 5
c5: 1072
c0: -1
skew: 0.25
# Murphy_E = 7.724e-11
type: snfs
lss: 1
rlim: 7900000
alim: 7900000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7900000/7900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4489760 hash collisions in 35532902 relations (33183766 unique)
Msieve: matrix is 871856 x 872083 (291.9 MB)

Sieving start time : 2022/03/14 05:13:08
Sieving end time  : 2022/03/14 09:45:30

Total sieving time: 4hrs 32min 22secs.

Total relation processing time: 0hrs 11min 31sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 54sec.

Prototype def-par.txt line would be:
snfs,183,5,0,0,0,0,0,0,0,0,7900000,7900000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116350] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.153515] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.24 BogoMIPS (lpj=12798496)
[    0.152039] smpboot: Total of 16 processors activated (102387.96 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 12, 2022 15:21:20 UTC 2022 年 3 月 13 日 (日) 0 時 21 分 20 秒 (日本時間)

536×10182-59

c181

name 名前Ignacio Santos
date 日付March 14, 2022 16:48:47 UTC 2022 年 3 月 15 日 (火) 1 時 48 分 47 秒 (日本時間)
composite number 合成数
4093165330278732340588010691103474608629247804505536464299350897289041618938526155021000381825124093165330278732340588010691103474608629247804505536464299350897289041618938526155021<181>
prime factors 素因数
43877241722003164533794724066431800900589<41>
composite cofactor 合成数の残り
93286751163898450022795909235995427334519495068630913119856346510648442681718315043757313394921414661037124642228001875750225273629856003489<140>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2165970853
Step 1 took 8469ms
Step 2 took 4125ms
********** Factor found in step 2: 43877241722003164533794724066431800900589
Found prime factor of 41 digits: 43877241722003164533794724066431800900589
Composite cofactor 93286751163898450022795909235995427334519495068630913119856346510648442681718315043757313394921414661037124642228001875750225273629856003489 has 140 digits
software ソフトウェア
GMP-ECM

c140

name 名前Eric Jeancolas
date 日付June 30, 2022 08:39:29 UTC 2022 年 6 月 30 日 (木) 17 時 39 分 29 秒 (日本時間)
composite number 合成数
93286751163898450022795909235995427334519495068630913119856346510648442681718315043757313394921414661037124642228001875750225273629856003489<140>
prime factors 素因数
2539283644274835199463549204559974517303465498215557<52>
36737428437435999784833537665087366494703269536228615468099689962533487729817437545280877<89>
factorization results 素因数分解の結果
93286751163898450022795909235995427334519495068630913119856346510648442681718315043757313394921414661037124642228001875750225273629856003489=2539283644274835199463549204559974517303465498215557*36737428437435999784833537665087366494703269536228615468099689962533487729817437545280877

cado polynomial
n: 93286751163898450022795909235995427334519495068630913119856346510648442681718315043757313394921414661037124642228001875750225273629856003489
skew: 0.31
type: snfs
c0: -1
c5: 335
Y0: 2000000000000000000000000000000000000
Y1: -1
# f(x) = 335*x^5-1
# g(x) = -x+2000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 8200000
tasks.lim1 = 8200000
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: 36737428437435999784833537665087366494703269536228615468099689962533487729817437545280877 2539283644274835199463549204559974517303465498215557
Info:Square Root: Total cpu/real time for sqrt: 350.74/109.749
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22421612
Info:Lattice Sieving: Average J: 1894.97 for 908161 special-q, max bucket fill -bkmult 1.0,1s:1.174420
Info:Lattice Sieving: Total time: 230001s
Info:Generate Free Relations: Total cpu/real time for freerel: 119.83/32.4713
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 91.2/107.009
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 106.8s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 218.33/182.041
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 168.4s
Info:Filtering - Merging: Merged matrix has 1328446 rows and total weight 226123058 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 328.41/91.8326
Info:Filtering - Merging: Total cpu/real time for replay: 49.77/42.2764
Info:Linear Algebra: Total cpu/real time for bwc: 28024.8/7222.95
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 17852.97, WCT time 4588.25, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (41728 iterations)
Info:Linear Algebra: Lingen CPU time 256.04, WCT time 64.97
Info:Linear Algebra: Mksol: CPU time 9686.12,  WCT time 2484.88, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (20992 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 3.5/2.06262
Info:Quadratic Characters: Total cpu/real time for characters: 47.55/19.2172
Info:Square Root: Total cpu/real time for sqrt: 350.74/109.749
Info:Filtering - Singleton removal: Total cpu/real time for purge: 99.07/109.37
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 468470/72946.1
Info:root: Cleaning up computation data in /tmp/cado.4pszhop0
36737428437435999784833537665087366494703269536228615468099689962533487729817437545280877 2539283644274835199463549204559974517303465498215557
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
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 JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 15, 2022 15:34:01 UTC 2022 年 3 月 16 日 (水) 0 時 34 分 1 秒 (日本時間)

536×10183-59

c160

name 名前Bob Backstrom
date 日付March 26, 2022 20:36:59 UTC 2022 年 3 月 27 日 (日) 5 時 36 分 59 秒 (日本時間)
composite number 合成数
1206950404995659734109450677115078595544043553720539393326947470268879668459345830870296788090523147485843484146055031277841738313936876703273850564467501100673<160>
prime factors 素因数
6215457074913122215092385755956165183296325954467696185930953230241<67>
194185301329995931626736931789505367057128223914727150350538557625784689485892119200840841953<93>
factorization results 素因数分解の結果
Number: n
N=1206950404995659734109450677115078595544043553720539393326947470268879668459345830870296788090523147485843484146055031277841738313936876703273850564467501100673  ( 160 digits)
SNFS difficulty: 185 digits.
Divisors found:

Sun Mar 27 07:31:45 2022  p67 factor: 6215457074913122215092385755956165183296325954467696185930953230241
Sun Mar 27 07:31:45 2022  p93 factor: 194185301329995931626736931789505367057128223914727150350538557625784689485892119200840841953
Sun Mar 27 07:31:45 2022  elapsed time 00:32:35 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.330).
Factorization parameters were as follows:
#
# N = 536x10^183-5 = 595(183)
#
n: 1206950404995659734109450677115078595544043553720539393326947470268879668459345830870296788090523147485843484146055031277841738313936876703273850564467501100673
m: 2000000000000000000000000000000000000
deg: 5
c5: 3350
c0: -1
skew: 0.20
# Murphy_E = 5.37e-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 3808127 hash collisions in 31786215 relations (29858644 unique)
Msieve: matrix is 1027568 x 1027795 (351.9 MB)

Sieving start time : 2022/03/27 03:13:53
Sieving end time  : 2022/03/27 06:58:28

Total sieving time: 3hrs 44min 35secs.

Total relation processing time: 0hrs 18min 5sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 32sec.

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) ----------
[    0.116282] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9500K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153500] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798576)
[    0.152037] smpboot: Total of 16 processors activated (102388.60 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 14, 2022 17:33:52 UTC 2022 年 3 月 15 日 (火) 2 時 33 分 52 秒 (日本時間)

536×10185-59

c147

name 名前Bob Backstrom
date 日付April 20, 2022 00:22:53 UTC 2022 年 4 月 20 日 (水) 9 時 22 分 53 秒 (日本時間)
composite number 合成数
171320721422881737333373000047464700377072157409473917807448135368853738319299344452490177929546081461879221339036047158373453251364977610524747773<147>
prime factors 素因数
22530266641633600469184057181065394167815981776403<50>
7604025471509457366787188136984701010079625551603947353394679304263960931824695520077513605071791<97>
factorization results 素因数分解の結果
Number: n
N=171320721422881737333373000047464700377072157409473917807448135368853738319299344452490177929546081461879221339036047158373453251364977610524747773  ( 147 digits)
SNFS difficulty: 187 digits.
Divisors found:

Wed Apr 20 10:18:51 2022  p50 factor: 22530266641633600469184057181065394167815981776403
Wed Apr 20 10:18:51 2022  p97 factor: 7604025471509457366787188136984701010079625551603947353394679304263960931824695520077513605071791
Wed Apr 20 10:18:51 2022  elapsed time 00:32:08 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.322).
Factorization parameters were as follows:
#
# N = 536x10^185-5 = 595(185)
#
n: 171320721422881737333373000047464700377072157409473917807448135368853738319299344452490177929546081461879221339036047158373453251364977610524747773
m: 10000000000000000000000000000000000000
deg: 5
c5: 536
c0: -5
skew: 0.39
# Murphy_E = 4.337e-11
type: snfs
lss: 1
rlim: 9400000
alim: 9400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9400000/9400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3563764 hash collisions in 30439000 relations (28666392 unique)
Msieve: matrix is 1101246 x 1101472 (379.3 MB)

Sieving start time : 2022/04/20 05:43:47
Sieving end time  : 2022/04/20 09:46:14

Total sieving time: 4hrs 2min 27secs.

Total relation processing time: 0hrs 20min 16sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 8sec.

Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,9400000,9400000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 14, 2022 18:12:25 UTC 2022 年 3 月 15 日 (火) 3 時 12 分 25 秒 (日本時間)

536×10189-59

c153

name 名前Bob Backstrom
date 日付April 2, 2022 13:46:40 UTC 2022 年 4 月 2 日 (土) 22 時 46 分 40 秒 (日本時間)
composite number 合成数
345687765279550088196309003306315946969176879147402278189883222836994025677700329471522167745400656549134353359390227101247906270274252987901980376765109<153>
prime factors 素因数
5726452067745828639272259861501047412247065026453394816452741419696786999<73>
60366831187958807135897653518872130942622528203509492526264271828243659397451891<80>
factorization results 素因数分解の結果
Number: n
N=345687765279550088196309003306315946969176879147402278189883222836994025677700329471522167745400656549134353359390227101247906270274252987901980376765109  ( 153 digits)
SNFS difficulty: 191 digits.
Divisors found:

Sun Apr  3 00:42:26 2022  p73 factor: 5726452067745828639272259861501047412247065026453394816452741419696786999
Sun Apr  3 00:42:26 2022  p80 factor: 60366831187958807135897653518872130942622528203509492526264271828243659397451891
Sun Apr  3 00:42:26 2022  elapsed time 00:41:21 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# N = 536x10^189-5 = 595(189)
#
n: 345687765279550088196309003306315946969176879147402278189883222836994025677700329471522167745400656549134353359390227101247906270274252987901980376765109
m: 20000000000000000000000000000000000000
deg: 5
c5: 33500
c0: -1
skew: 0.12
# Murphy_E = 3.156e-11
type: snfs
lss: 1
rlim: 10700000
alim: 10700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10700000/10700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 18150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3941980 hash collisions in 30900708 relations (28687021 unique)
Msieve: matrix is 1263516 x 1263741 (438.6 MB)

Sieving start time : 2022/04/02 18:41:32
Sieving end time  : 2022/04/03 00:00:33

Total sieving time: 5hrs 19min 1secs.

Total relation processing time: 0hrs 27min 49sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 35sec.

Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,10700000,10700000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118659] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154096] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.11 BogoMIPS (lpj=12798228)
[    0.152007] smpboot: Total of 16 processors activated (102385.82 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 15, 2022 15:44:33 UTC 2022 年 3 月 16 日 (水) 0 時 44 分 33 秒 (日本時間)

536×10190-59

c181

name 名前Ignacio Santos
date 日付March 15, 2022 16:09:38 UTC 2022 年 3 月 16 日 (水) 1 時 9 分 38 秒 (日本時間)
composite number 合成数
3016436088084495602648648128389929472241092916249195735380375726014198335520862787612109861894531664944785211042195014224598276424875165469152709233550691711137234517455751844639403<181>
prime factors 素因数
347379639120314911682451568793416603513<39>
8683399222024504413015701299029451291686632970842600430006565288276112158438282802351530133150923013331625544936852083324502730598981110398531<142>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3732348046
Step 1 took 8375ms
Step 2 took 4140ms
********** Factor found in step 2: 347379639120314911682451568793416603513
Found prime factor of 39 digits: 347379639120314911682451568793416603513
Prime cofactor 8683399222024504413015701299029451291686632970842600430006565288276112158438282802351530133150923013331625544936852083324502730598981110398531 has 142 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 JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

536×10191-59

c182

name 名前Dmitry Domanov
date 日付March 19, 2022 17:03:44 UTC 2022 年 3 月 20 日 (日) 2 時 3 分 44 秒 (日本時間)
composite number 合成数
45837032676529332452078598781839583622948151743247530853713663656264913194697159436037134928994217046715606102875425451473494522761767157553048540178366914580812952797791336146193489<182>
prime factors 素因数
5554127864664881328633796443458042427139<40>
8252786718891102693830768614859900266775769847015087467046896138377478452913129752988388552422176292197193455008746271435317611107275480634651<142>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1430630323
Step 1 took 23335ms
********** Factor found in step 1: 5554127864664881328633796443458042427139
Found prime factor of 40 digits: 5554127864664881328633796443458042427139
Prime cofactor 8252786718891102693830768614859900266775769847015087467046896138377478452913129752988388552422176292197193455008746271435317611107275480634651 has 142 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovMarch 18, 2022 23:41:07 UTC 2022 年 3 月 19 日 (土) 8 時 41 分 7 秒 (日本時間)

536×10192-59

c163

name 名前Bob Backstrom
date 日付April 5, 2022 18:56:49 UTC 2022 年 4 月 6 日 (水) 3 時 56 分 49 秒 (日本時間)
composite number 合成数
2464559074944127273738294625082733489349661156936763156534311482305449083563620739019095863561995234562163648898397671503900980792041129144584439183776558996158959<163>
prime factors 素因数
200778156660646021544566633077330355239439<42>
12275035870110659158722624524431852410867021221739282741592175338392433073353110002966813761297347227321316792307600859681<122>
factorization results 素因数分解の結果
Number: n
N=2464559074944127273738294625082733489349661156936763156534311482305449083563620739019095863561995234562163648898397671503900980792041129144584439183776558996158959  ( 163 digits)
SNFS difficulty: 194 digits.
Divisors found:

Wed Apr  6 04:52:50 2022  p42 factor: 200778156660646021544566633077330355239439
Wed Apr  6 04:52:50 2022  p122 factor: 12275035870110659158722624524431852410867021221739282741592175338392433073353110002966813761297347227321316792307600859681
Wed Apr  6 04:52:50 2022  elapsed time 00:43:05 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.337).
Factorization parameters were as follows:
#
# N = 536x10^192-5 = 595(192)
#
n: 2464559074944127273738294625082733489349661156936763156534311482305449083563620739019095863561995234562163648898397671503900980792041129144584439183776558996158959
m: 200000000000000000000000000000000000000
deg: 5
c5: 335
c0: -1
skew: 0.31
# Murphy_E = 3.169e-11
type: snfs
lss: 1
rlim: 12000000
alim: 12000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12000000/12000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 11600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3486043 hash collisions in 30760472 relations (29126390 unique)
Msieve: matrix is 1294017 x 1294243 (451.0 MB)

Sieving start time : 2022/04/06 00:51:23
Sieving end time  : 2022/04/06 04:09:11

Total sieving time: 3hrs 17min 48secs.

Total relation processing time: 0hrs 30min 16sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 50sec.

Prototype def-par.txt line would be:
snfs,194,5,0,0,0,0,0,0,0,0,12000000,12000000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118659] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154096] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.11 BogoMIPS (lpj=12798228)
[    0.152007] smpboot: Total of 16 processors activated (102385.82 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMarch 18, 2022 23:41:14 UTC 2022 年 3 月 19 日 (土) 8 時 41 分 14 秒 (日本時間)
2350Ignacio SantosApril 3, 2022 14:29:03 UTC 2022 年 4 月 3 日 (日) 23 時 29 分 3 秒 (日本時間)

536×10194-59

c105

name 名前Taiyo Kodama
date 日付March 10, 2022 13:40:44 UTC 2022 年 3 月 10 日 (木) 22 時 40 分 44 秒 (日本時間)
composite number 合成数
243104102791323821616521088664453776866350545011125758207235064312819562371779038672551201563224366698377<105>
prime factors 素因数
167339207390402430363780746761148479<36>
1452762365631156978848847671272938037433255587261651534944078200759863<70>
factorization results 素因数分解の結果
1452762365631156978848847671272938037433255587261651534944078200759863 167339207390402430363780746761148479

n: 243104102791323821616521088664453776866350545011125758207235064312819562371779038672551201563224366698377
skew: 3393.261
c0: 67111068179302945229532
c1: 64130690680865779556
c2: -87701790032119071
c3: -7900009088129
c4: 1236295302
c5: 145800
Y0: -15760124284230540555
Y1: 28715718877577311
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 3.453e-06
# f(x) = 145800*x^5+1236295302*x^4-7900009088129*x^3-87701790032119071*x^2+64130690680865779556*x+67111068179302945229532
# g(x) = 28715718877577311*x-15760124284230540555
software ソフトウェア
cado-nfs 3.0.0

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

536×10195-59

c170

name 名前Bob Backstrom
date 日付April 13, 2022 22:20:00 UTC 2022 年 4 月 14 日 (木) 7 時 20 分 0 秒 (日本時間)
composite number 合成数
69701129835580352369370698873500858711044376597881062641361766647375601106196753136219103066861889832795657011651964182606604815045625079547684207498653147290869605981817<170>
prime factors 素因数
168213998380383236547351137697885778462995777204107<51>
371075043405403718326875866155858180317488992157868152831<57>
1116647086371324908450360715343427311935200507229065164381539701<64>
factorization results 素因数分解の結果
Number: n
N=69701129835580352369370698873500858711044376597881062641361766647375601106196753136219103066861889832795657011651964182606604815045625079547684207498653147290869605981817  ( 170 digits)
SNFS difficulty: 197 digits.
Divisors found:

Thu Apr 14 08:11:06 2022  found factor: 1116647086371324908450360715343427311935200507229065164381539701
Thu Apr 14 08:13:26 2022  p51 factor: 168213998380383236547351137697885778462995777204107
Thu Apr 14 08:13:26 2022  p57 factor: 371075043405403718326875866155858180317488992157868152831
Thu Apr 14 08:13:26 2022  p64 factor: 1116647086371324908450360715343427311935200507229065164381539701
Thu Apr 14 08:13:26 2022  elapsed time 01:13:10 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.331).
Factorization parameters were as follows:
#
# N = 536x10^195-5 = 595(195)
#
n: 69701129835580352369370698873500858711044376597881062641361766647375601106196753136219103066861889832795657011651964182606604815045625079547684207498653147290869605981817
m: 1000000000000000000000000000000000000000
deg: 5
c5: 536
c0: -5
skew: 0.39
# Murphy_E = 1.675e-11
type: snfs
lss: 1
rlim: 13800000
alim: 13800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13800000/13800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 26900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3850518 hash collisions in 29579086 relations (27331623 unique)
Msieve: matrix is 1737694 x 1737919 (601.9 MB)

Sieving start time : 2022/04/13 23:49:59
Sieving end time  : 2022/04/14 06:59:47

Total sieving time: 7hrs 9min 48secs.

Total relation processing time: 0hrs 59min 56sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 39sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13800000,13800000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMarch 18, 2022 23:41:22 UTC 2022 年 3 月 19 日 (土) 8 時 41 分 22 秒 (日本時間)
2350Ignacio SantosApril 7, 2022 20:34:28 UTC 2022 年 4 月 8 日 (金) 5 時 34 分 28 秒 (日本時間)

536×10196-59

c185

name 名前Dmitry Domanov
date 日付March 20, 2022 08:12:39 UTC 2022 年 3 月 20 日 (日) 17 時 12 分 39 秒 (日本時間)
composite number 合成数
94467339707529712814401109603006035565443595543750435746024189400761348552361443268063858911556252594351185378816143839688454969934961812879359322028293426442665532529666131327359889571<185>
prime factors 素因数
1438340582548415349910422718289276971<37>
65678004815907284761480009191996823214764697579572169782093439171971851430757714639878467241329286934875876288856375824003841108263738171450824330601<149>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=557593567
Step 1 took 11608ms
Step 2 took 4608ms
********** Factor found in step 2: 1438340582548415349910422718289276971
Found probable prime factor of 37 digits: 1438340582548415349910422718289276971
Probable prime cofactor 65678004815907284761480009191996823214764697579572169782093439171971851430757714639878467241329286934875876288856375824003841108263738171450824330601 has 149 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovMarch 18, 2022 23:41:30 UTC 2022 年 3 月 19 日 (土) 8 時 41 分 30 秒 (日本時間)

536×10199-59

c133

name 名前Eric Jeancolas
date 日付March 13, 2022 18:09:03 UTC 2022 年 3 月 14 日 (月) 3 時 9 分 3 秒 (日本時間)
composite number 合成数
7008321828130226602569257694722108355034538991875445104485708102728706324793503259055813972379440087044901326205226588161882290050847<133>
prime factors 素因数
359605523296726621822616039026414418611<39>
19488915976263652663498533000706794652559394206998495047297181827859774451509513437351078139877<95>
factorization results 素因数分解の結果
7008321828130226602569257694722108355034538991875445104485708102728706324793503259055813972379440087044901326205226588161882290050847=359605523296726621822616039026414418611*19488915976263652663498533000706794652559394206998495047297181827859774451509513437351078139877

cado polynomial
n: 7008321828130226602569257694722108355034538991875445104485708102728706324793503259055813972379440087044901326205226588161882290050847
skew: 110712.131
c0: 5940907244595082589837484875310
c1: 89714079338002838102600979
c2: -6431804805547825460934
c3: -16556400633429159
c4: 218303694940
c5: -343200
Y0: -52829957557441293631596770
Y1: 630142613589775433
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.375e-07
# f(x) = -343200*x^5+218303694940*x^4-16556400633429159*x^3-6431804805547825460934*x^2+89714079338002838102600979*x+5940907244595082589837484875310
# g(x) = 630142613589775433*x-52829957557441293631596770

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: 19488915976263652663498533000706794652559394206998495047297181827859774451509513437351078139877 359605523296726621822616039026414418611
Info:Square Root: Total cpu/real time for sqrt: 419.34/124.866
Info:Filtering - Singleton removal: Total cpu/real time for purge: 99.02/107.41
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17021900
Info:Lattice Sieving: Average J: 3795.88 for 543544 special-q, max bucket fill -bkmult 1.0,1s:1.165740
Info:Lattice Sieving: Total time: 179951s
Info:Generate Factor Base: Total cpu/real time for makefb: 14.7/3.90878
Info:Linear Algebra: Total cpu/real time for bwc: 22575.7/5792.28
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 14327.16, WCT time 3663.71, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (37888 iterations)
Info:Linear Algebra: Lingen CPU time 229.83, WCT time 58.26
Info:Linear Algebra: Mksol: CPU time 7816.13,  WCT time 1996.42, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (18944 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 249.48/63.2189
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 75.36/87.4146
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 87.3s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6272.45
Info:Polynomial Selection (root optimized): Rootsieve time: 6269.87
Info:Filtering - Merging: Merged matrix has 1210313 rows and total weight 206243039 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 327.15/91.1688
Info:Filtering - Merging: Total cpu/real time for replay: 44.45/37.7574
Info:Quadratic Characters: Total cpu/real time for characters: 40.75/16.7685
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): 54338/39.040/47.732/52.290/0.973
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 44567/37.320/42.534/48.400/0.993
Info:Polynomial Selection (size optimized): Total time: 11494.4
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 197.88/167.575
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 155.3s
Info:Square Root: Total cpu/real time for sqrt: 419.34/124.866
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 385118/64948.9
Info:root: Cleaning up computation data in /tmp/cado.n1_e3_w_
19488915976263652663498533000706794652559394206998495047297181827859774451509513437351078139877 359605523296726621822616039026414418611
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 JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 9, 2022 22:48:42 UTC 2022 年 3 月 10 日 (木) 7 時 48 分 42 秒 (日本時間)

536×10201-59

c189

composite cofactor 合成数の残り
108661426415952082351966081329035325691216149913913819698115231036511880231220216035005142442310774910554429033296402502213423278787086363216443105790970701392830162092679168924001264023937<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 15, 2022 21:22:13 UTC 2022 年 3 月 16 日 (水) 6 時 22 分 13 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovApril 15, 2022 14:03:02 UTC 2022 年 4 月 15 日 (金) 23 時 3 分 2 秒 (日本時間)

536×10204-59

c154

composite cofactor 合成数の残り
1995881407666940943115833690735013314565648343918737630693652136505711800966709351916673459721411514168139531000205762823763217408192562171328497594866241<154>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 13, 2022 05:40:51 UTC 2022 年 3 月 13 日 (日) 14 時 40 分 51 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovApril 15, 2022 14:03:33 UTC 2022 年 4 月 15 日 (金) 23 時 3 分 33 秒 (日本時間)

536×10205-59

c198

name 名前Dmitry Domanov
date 日付March 16, 2022 10:01:58 UTC 2022 年 3 月 16 日 (水) 19 時 1 分 58 秒 (日本時間)
composite number 合成数
531880813668470421864586654657988671973653355341608780581800338588082082206890271533902634046104777484801253949504673414679234591536743353902270829063309070195815340077053146780722434190370799682203<198>
prime factors 素因数
6462440781495120884921250796973757497<37>
composite cofactor 合成数の残り
82303394592254491453891857865615186186972267221944544828943836673687512661895049697108970239532567161755515813976134951386866464667915623874874600017670125770099<161>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3355019452
Step 1 took 26215ms
Step 2 took 10704ms
********** Factor found in step 2: 6462440781495120884921250796973757497
Found prime factor of 37 digits: 6462440781495120884921250796973757497
Composite cofactor 82303394592254491453891857865615186186972267221944544828943836673687512661895049697108970239532567161755515813976134951386866464667915623874874600017670125770099 has 161 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 15, 2022 21:22:23 UTC 2022 年 3 月 16 日 (水) 6 時 22 分 23 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovApril 15, 2022 14:03:39 UTC 2022 年 4 月 15 日 (金) 23 時 3 分 39 秒 (日本時間)

536×10206-59

c207

name 名前Ignacio Santos
date 日付June 13, 2022 15:28:52 UTC 2022 年 6 月 14 日 (火) 0 時 28 分 52 秒 (日本時間)
composite number 合成数
132345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679<207>
prime factors 素因数
7281316708765875704524569968299978863890697978627672320319392504648537531347<76>
18176064069980167265272853420429627670329501504843203979459880430164462820591094572800871448588931469581496677257336816605582228757<131>
factorization results 素因数分解の結果
N=132345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679
  ( 207 digits)
SNFS difficulty: 208 digits.
Divisors found:
 r1=7281316708765875704524569968299978863890697978627672320319392504648537531347 (pp76)
 r2=18176064069980167265272853420429627670329501504843203979459880430164462820591094572800871448588931469581496677257336816605582228757 (pp131)
Version: Msieve v. 1.52 (SVN 927)
Total time: 687.88 hours.
Scaled time: 5324.15 units (timescale=7.740).
Factorization parameters were as follows:
n: 132345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679
m: 100000000000000000000000000000000000000000
deg: 5
c5: 1072
c0: -1
skew: 0.25
# Murphy_E = 7.073e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved rational special-q in [10500000, 24600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 4302684 x 4302911
Total sieving time: 683.28 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 4.35 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,208.000,5,0,0,0,0,0,0,0,0,21000000,21000000,29,29,57,57,2.6,2.6,100000
total time: 687.88 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 JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMarch 20, 2022 15:48:08 UTC 2022 年 3 月 21 日 (月) 0 時 48 分 8 秒 (日本時間)
2350Ignacio SantosApril 18, 2022 12:02:23 UTC 2022 年 4 月 18 日 (月) 21 時 2 分 23 秒 (日本時間)
4511e64480Ignacio SantosApril 18, 2022 13:26:07 UTC 2022 年 4 月 18 日 (月) 22 時 26 分 7 秒 (日本時間)

536×10207-59

c182

composite cofactor 合成数の残り
73953879502744380863188045829513507149069647293199488295694123576482200976306959641833156550619958330875529181225487377259683149671473561858679672412248271602010032595700536842981369<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 15, 2022 21:22:31 UTC 2022 年 3 月 16 日 (水) 6 時 22 分 31 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovApril 15, 2022 14:03:46 UTC 2022 年 4 月 15 日 (金) 23 時 3 分 46 秒 (日本時間)

536×10208-59

c183

name 名前Dmitry Domanov
date 日付April 17, 2022 08:26:05 UTC 2022 年 4 月 17 日 (日) 17 時 26 分 5 秒 (日本時間)
composite number 合成数
174018243336291907349935394184059928616067484104331090272752972921869530968734209450246682274408973559785147845009121283704458494275698148303041852743387832517228688940361988200898899<183>
prime factors 素因数
105868488875330856465096996796096082704583<42>
composite cofactor 合成数の残り
1643720857688005530034108904670245774912252163213561462486147385860044484083735650947236766040627149571701122956775848213652361373176312332053<142>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3108349266
Step 1 took 32144ms
Step 2 took 10347ms
********** Factor found in step 2: 105868488875330856465096996796096082704583
Found probable prime factor of 42 digits: 105868488875330856465096996796096082704583
Composite cofactor 1643720857688005530034108904670245774912252163213561462486147385860044484083735650947236766040627149571701122956775848213652361373176312332053 has 142 digits

c142

name 名前ebina
date 日付April 25, 2022 20:22:34 UTC 2022 年 4 月 26 日 (火) 5 時 22 分 34 秒 (日本時間)
composite number 合成数
1643720857688005530034108904670245774912252163213561462486147385860044484083735650947236766040627149571701122956775848213652361373176312332053<142>
prime factors 素因数
4925536892129144245765636056189643890689418139293297222913<58>
333714048577043584740087614907521587139256178352332527107403175156630138834554549781<84>
factorization results 素因数分解の結果
Number: 59555_208
N = 1643720857688005530034108904670245774912252163213561462486147385860044484083735650947236766040627149571701122956775848213652361373176312332053 (142 digits)
Divisors found:
r1=4925536892129144245765636056189643890689418139293297222913 (pp58)
r2=333714048577043584740087614907521587139256178352332527107403175156630138834554549781 (pp84)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 29.15 hours.
Factorization parameters were as follows:
n:  1643720857688005530034108904670245774912252163213561462486147385860044484083735650947236766040627149571701122956775848213652361373176312332053
# norm 1.310052e-13 alpha -7.584392 e 1.731e-11 rroots 5
skew: 8854495.66
c0: 8105260641606459382519068279764701824
c1: 5871207764783259409283157860196
c2: -862546987566915386114602
c3: -271282867960990016
c4: 13237731513
c5: 720
Y0: -4695685682419689526575122387
Y1: 280268276369431
type: gnfs
Factor base limits: 13600000/13600000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23358020
Relations: 3843982 relations
Pruned matrix : 2322175 x 2322404
Polynomial selection time: 0.68 hours.
Total sieving time: 26.54 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 1.50 hours.
time per square root: 0.24 hours.
Prototype def-par.txt line would be: gnfs,141,5,65,2000,1e-05,0.28,250,20,50000,3600,13600000,13600000,28,28,56,56,2.5,2.5,100000
total time: 29.15 hours.
Intel64 Family 6 Model 45 Stepping 6, GenuineIntel
processors: 12, speed: 3.30GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 15, 2022 21:22:38 UTC 2022 年 3 月 16 日 (水) 6 時 22 分 38 秒 (日本時間)
4511e656801200Dmitry DomanovApril 15, 2022 14:03:55 UTC 2022 年 4 月 15 日 (金) 23 時 3 分 55 秒 (日本時間)
4480Ignacio SantosApril 18, 2022 18:42:16 UTC 2022 年 4 月 19 日 (火) 3 時 42 分 16 秒 (日本時間)

536×10209-59

c209

name 名前Ignacio Santos
date 日付April 17, 2022 21:09:51 UTC 2022 年 4 月 18 日 (月) 6 時 9 分 51 秒 (日本時間)
composite number 合成数
23355119825708061002178649237472766884531590413943355119825708061002178649237472766884531590413943355119825708061002178649237472766884531590413943355119825708061002178649237472766884531590413943355119825708061<209>
prime factors 素因数
75988850300650121805095568234611301482908417<44>
307349298394480992976828507463599513708646404453991713465594395699596870335850597275848122366175394084553755592222994491894336209926274606055698839332578279762715933<165>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1765822032
Step 1 took 36203ms
Step 2 took 14719ms
********** Factor found in step 2: 75988850300650121805095568234611301482908417
Found prime factor of 44 digits: 75988850300650121805095568234611301482908417
Prime cofactor 307349298394480992976828507463599513708646404453991713465594395699596870335850597275848122366175394084553755592222994491894336209926274606055698839332578279762715933 has 165 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 JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMarch 20, 2022 15:48:15 UTC 2022 年 3 月 21 日 (月) 0 時 48 分 15 秒 (日本時間)
2350Ignacio SantosApril 17, 2022 17:20:56 UTC 2022 年 4 月 18 日 (月) 2 時 20 分 56 秒 (日本時間)

536×10210-59

c139

name 名前Ignacio Santos
date 日付March 9, 2022 21:11:42 UTC 2022 年 3 月 10 日 (木) 6 時 11 分 42 秒 (日本時間)
composite number 合成数
1144131754062191217099762138481073688491080384972014778284614451550224020976957646423523474560849088011592317486787784403938267593915869909<139>
prime factors 素因数
122062818698560849799740230473110967412733<42>
composite cofactor 合成数の残り
9373302749035081946933046081562618240069430252720432017024672007969043071467503860557494737938873<97>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:886107044
Step 1 took 3204ms
********** Factor found in step 2: 122062818698560849799740230473110967412733
Found prime factor of 42 digits: 122062818698560849799740230473110967412733
Composite cofactor 9373302749035081946933046081562618240069430252720432017024672007969043071467503860557494737938873 has 97 digits
software ソフトウェア
GMP-ECM

c97

name 名前Dmitry Domanov
date 日付March 12, 2022 22:46:45 UTC 2022 年 3 月 13 日 (日) 7 時 46 分 45 秒 (日本時間)
composite number 合成数
9373302749035081946933046081562618240069430252720432017024672007969043071467503860557494737938873<97>
prime factors 素因数
947566701818856831003826940622712694243<39>
9891971436990137081293372998750202203345534492886064735411<58>
factorization results 素因数分解の結果
N=9373302749035081946933046081562618240069430252720432017024672007969043071467503860557494737938873
  ( 97 digits)
Divisors found:
p39 factor: 947566701818856831003826940622712694243
p58 factor: 9891971436990137081293372998750202203345534492886064735411
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 2.02 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 9373302749035081946933046081562618240069430252720432017024672007969043071467503860557494737938873
skew: 552584.89
c0: 252712760445234220349890188
c1: 1909146237521406238008
c2: -1601535299093598
c3: -7966960933
c4: 9660
Y0: -176494746259047231262895
Y1: 5721141025003
rlim: 1620000
alim: 1620000
lpbr: 25
lpba: 25
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 1620000/1620000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 50/50
Sieved algebraic special-q in [810000, 1050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 168125 x 168354
Total sieving time: 1.93 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,96,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1620000,1620000,25,25,50,50,2.5,2.5,60000
total time: 2.02 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 JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

536×10211-59

c181

composite cofactor 合成数の残り
3496497934160904199508516178978377213630521095895866077226223058242298418364040907772502776102154068763410642700681850489554130182709224736457453610537159172776375947967765823760099<181>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 15, 2022 21:22:47 UTC 2022 年 3 月 16 日 (水) 6 時 22 分 47 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovApril 15, 2022 14:04:04 UTC 2022 年 4 月 15 日 (金) 23 時 4 分 4 秒 (日本時間)

536×10212-59

c210

name 名前Ignacio Santos
date 日付July 14, 2022 10:12:39 UTC 2022 年 7 月 14 日 (木) 19 時 12 分 39 秒 (日本時間)
composite number 合成数
423732163326613700146250839954148385311672398118502707616901853828214553934938139847424799399185738566741768449345823945610498438673465354361832483497371437606229495236965887979762045930669196410925333017115301<210>
prime factors 素因数
17254636544792845815073263519054140416483145873<47>
composite cofactor 合成数の残り
24557582666352298188455988846947632537178528926949690758623131101343796735975538399947131809316265872723495298707334355024487303634118843979808516554448555674766037<164>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:440464025
Step 1 took 36672ms
Step 2 took 14750ms
********** Factor found in step 2: 17254636544792845815073263519054140416483145873
Found prime factor of 47 digits: 17254636544792845815073263519054140416483145873
Composite cofactor 24557582666352298188455988846947632537178528926949690758623131101343796735975538399947131809316265872723495298707334355024487303634118843979808516554448555674766037 has 164 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 JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMarch 20, 2022 15:48:23 UTC 2022 年 3 月 21 日 (月) 0 時 48 分 23 秒 (日本時間)
2350Ignacio SantosJuly 14, 2022 09:16:53 UTC 2022 年 7 月 14 日 (木) 18 時 16 分 53 秒 (日本時間)

536×10214-59

c184

name 名前Dmitry Domanov
date 日付March 16, 2022 23:10:14 UTC 2022 年 3 月 17 日 (木) 8 時 10 分 14 秒 (日本時間)
composite number 合成数
2697263612185101692205886426419186069816757796698121424425287852844262848568607622164913731638356260802875901388897371646842083824998908917622635576782993516211643461310188974834092949<184>
prime factors 素因数
3432331151579122940563881912480272147<37>
composite cofactor 合成数の残り
785840145681795152703637210574289488616807627832269609834708286662158026999879501073430867529428556818489321906363588778086629068504827196630845367<147>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1804268456
Step 1 took 8701ms
Step 2 took 4391ms
********** Factor found in step 2: 3432331151579122940563881912480272147
Found prime factor of 37 digits: 3432331151579122940563881912480272147
Composite cofactor 785840145681795152703637210574289488616807627832269609834708286662158026999879501073430867529428556818489321906363588778086629068504827196630845367 has 147 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e620781000Dmitry DomanovMarch 15, 2022 21:22:54 UTC 2022 年 3 月 16 日 (水) 6 時 22 分 54 秒 (日本時間)
1078Taiyo KodamaMarch 19, 2022 06:58:09 UTC 2022 年 3 月 19 日 (土) 15 時 58 分 9 秒 (日本時間)
4511e64480Ignacio SantosMarch 19, 2022 16:01:44 UTC 2022 年 3 月 20 日 (日) 1 時 1 分 44 秒 (日本時間)
5043e66463Ignacio SantosApril 13, 2022 19:17:04 UTC 2022 年 4 月 14 日 (木) 4 時 17 分 4 秒 (日本時間)

536×10215-59

c215

name 名前Dmitry Domanov
date 日付March 21, 2022 05:31:38 UTC 2022 年 3 月 21 日 (月) 14 時 31 分 38 秒 (日本時間)
composite number 合成数
14705075445816186556927297668038408779149519890260631001371742112482853223593964334705075445816186556927297668038408779149519890260631001371742112482853223593964334705075445816186556927297668038408779149519890260631<215>
prime factors 素因数
162577534190786748256693668042042415331<39>
composite cofactor 合成数の残り
90449615434317010535696180925122346219155437739980357242956862064747328470487969401557475234164627624527755787142257576165574006655271696528182539377586170211635717073609466301<176>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=61572359
Step 1 took 15620ms
Step 2 took 5308ms
********** Factor found in step 2: 162577534190786748256693668042042415331
Found probable prime factor of 39 digits: 162577534190786748256693668042042415331
Composite cofactor 90449615434317010535696180925122346219155437739980357242956862064747328470487969401557475234164627624527755787142257576165574006655271696528182539377586170211635717073609466301 has 176 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 20, 2022 15:48:30 UTC 2022 年 3 月 21 日 (月) 0 時 48 分 30 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovApril 15, 2022 14:04:18 UTC 2022 年 4 月 15 日 (金) 23 時 4 分 18 秒 (日本時間)

536×10216-59

c189

composite cofactor 合成数の残り
158990409729600860867607950259418070889106874836618463913768054048354701498564371745411914895562740616942961882471424353677490953303818501910012785610706335720500987197629967451876589321701<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 15, 2022 21:23:01 UTC 2022 年 3 月 16 日 (水) 6 時 23 分 1 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovApril 15, 2022 14:04:46 UTC 2022 年 4 月 15 日 (金) 23 時 4 分 46 秒 (日本時間)

536×10217-59

c212

name 名前Dmitry Domanov
date 日付March 21, 2022 05:31:58 UTC 2022 年 3 月 21 日 (月) 14 時 31 分 58 秒 (日本時間)
composite number 合成数
62552147455484256610615391177614780418913832141195601440356556576637671528987464537979744190892348979597671823075918992868413330352770187786564837372293985056688758894789913769647399029776514364441298164788847699<212>
prime factors 素因数
1062035257762938423868505774162639819971<40>
composite cofactor 合成数の残り
58898371780277371409477882288359529177899773007226155386245257766825304450871946239943988313289641825346689888179125199426717522107787959583677695378542300253526091276990769<173>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=634069433
Step 1 took 13976ms
********** Factor found in step 1: 1062035257762938423868505774162639819971
Found probable prime factor of 40 digits: 1062035257762938423868505774162639819971
Composite cofactor 58898371780277371409477882288359529177899773007226155386245257766825304450871946239943988313289641825346689888179125199426717522107787959583677695378542300253526091276990769 has 173 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 20, 2022 15:48:38 UTC 2022 年 3 月 21 日 (月) 0 時 48 分 38 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovApril 15, 2022 14:04:46 UTC 2022 年 4 月 15 日 (金) 23 時 4 分 46 秒 (日本時間)

536×10218-59

c197

name 名前Dmitry Domanov
date 日付April 16, 2022 09:32:37 UTC 2022 年 4 月 16 日 (土) 18 時 32 分 37 秒 (日本時間)
composite number 合成数
68247728430349714144700046266935696134448432220519251575145651277458565091197506503851887855483705571041256668061125727133205143083801330989780163320176934434044161527700759822415780256092892192893<197>
prime factors 素因数
7307216269240070615092527499553519233<37>
9339771250187354967397375031012322307660714790991739279701839303972702121252794751579275502791000930153872560274116685813695556628775178841221376741033439233021<160>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3675095091
Step 1 took 48856ms
Step 2 took 15824ms
********** Factor found in step 2: 7307216269240070615092527499553519233
Found probable prime factor of 37 digits: 7307216269240070615092527499553519233
Probable prime cofactor 9339771250187354967397375031012322307660714790991739279701839303972702121252794751579275502791000930153872560274116685813695556628775178841221376741033439233021 has 160 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 15, 2022 21:23:09 UTC 2022 年 3 月 16 日 (水) 6 時 23 分 9 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovApril 15, 2022 14:04:47 UTC 2022 年 4 月 15 日 (金) 23 時 4 分 47 秒 (日本時間)

536×10219-59

c212

name 名前Ignacio Santos
date 日付September 24, 2022 15:25:23 UTC 2022 年 9 月 25 日 (日) 0 時 25 分 23 秒 (日本時間)
composite number 合成数
15946404119095298487802333757046099953679161996863744837474946129592079393227339664731408236451635656266534506796427126699552373592227178907573696693024315893510238765929848382346792330019469293534834636496609157<212>
prime factors 素因数
1300775260353364972844310522357118472737981<43>
12259153910079242204585716964025079504157367084461139705435755855499814430538144887008407789469213579446093680542321119165676065218162065450840456149354055417491621525097<170>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3952631973
Step 1 took 36797ms
Step 2 took 4453ms
********** Factor found in step 2: 1300775260353364972844310522357118472737981
Found prime factor of 43 digits: 1300775260353364972844310522357118472737981
Prime cofactor 12259153910079242204585716964025079504157367084461139705435755855499814430538144887008407789469213579446093680542321119165676065218162065450840456149354055417491621525097 has 170 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 JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMarch 20, 2022 15:48:46 UTC 2022 年 3 月 21 日 (月) 0 時 48 分 46 秒 (日本時間)
2350Ignacio SantosAugust 6, 2022 10:13:26 UTC 2022 年 8 月 6 日 (土) 19 時 13 分 26 秒 (日本時間)

536×10220-59

c186

composite cofactor 合成数の残り
235224170601691248975900929988864698645332206539311066625079696722389693952977244442291136001179595900876511735356491182587623488577996403605775560680288542804594184548481537679581362941<186>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 15, 2022 21:23:16 UTC 2022 年 3 月 16 日 (水) 6 時 23 分 16 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovApril 15, 2022 14:04:52 UTC 2022 年 4 月 15 日 (金) 23 時 4 分 52 秒 (日本時間)

536×10221-59

c212

composite cofactor 合成数の残り
18437108015637252156466840106156048645353404497438613944866093213095078685634900784006577764181101319844099081083673225885698643353520125771853290767416330045006032905634622721700654458216965800408566503845191893<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMarch 20, 2022 15:48:54 UTC 2022 年 3 月 21 日 (月) 0 時 48 分 54 秒 (日本時間)
2350Ignacio SantosAugust 6, 2022 10:22:42 UTC 2022 年 8 月 6 日 (土) 19 時 22 分 42 秒 (日本時間)

536×10222-59

c206

composite cofactor 合成数の残り
74386777276755034064402584886622779631394536071861660394111104244898865254958913795375422262502804016994531822627834222456035195335995739962531276246820713126366893873054546459262113123161411515884428625431<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMarch 20, 2022 15:49:02 UTC 2022 年 3 月 21 日 (月) 0 時 49 分 2 秒 (日本時間)
2350Ignacio SantosAugust 6, 2022 10:51:09 UTC 2022 年 8 月 6 日 (土) 19 時 51 分 9 秒 (日本時間)

536×10224-59

c200

composite cofactor 合成数の残り
13065094724887957975671320261412427932431957047573143844348642296751796049567314531658980344282327619440654647935811190943607637147383012892166754945584113495666749041315456294884496980650476365778423<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 15, 2022 21:23:24 UTC 2022 年 3 月 16 日 (水) 6 時 23 分 24 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovApril 15, 2022 14:05:06 UTC 2022 年 4 月 15 日 (金) 23 時 5 分 6 秒 (日本時間)

536×10225-59

c130

name 名前Eric Jeancolas
date 日付March 13, 2022 16:11:45 UTC 2022 年 3 月 14 日 (月) 1 時 11 分 45 秒 (日本時間)
composite number 合成数
1528030814173739835910459243136457557240301808569886258864458094605636035169561749647338857679499225030719652891881787383024125609<130>
prime factors 素因数
4290599927282655217959482187985966818657416957<46>
356134535978860224089230367267818137775228169496423702266796898260168907563441732637<84>
factorization results 素因数分解の結果
1528030814173739835910459243136457557240301808569886258864458094605636035169561749647338857679499225030719652891881787383024125609=4290599927282655217959482187985966818657416957*356134535978860224089230367267818137775228169496423702266796898260168907563441732637

cado polynomial
n: 1528030814173739835910459243136457557240301808569886258864458094605636035169561749647338857679499225030719652891881787383024125609
skew: 185770.817
c0: 24268860923710496432937304332210
c1: -2655716207781751385470081
c2: -2963324504040653103232
c3: 4779452428055549
c4: 31290611658
c5: 98280
Y0: -9815161545739072676971872
Y1: 734132533202038643
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 4.740e-07
# f(x) = 98280*x^5+31290611658*x^4+4779452428055549*x^3-2963324504040653103232*x^2-2655716207781751385470081*x+24268860923710496432937304332210
# g(x) = 734132533202038643*x-9815161545739072676971872

cado parameters (extracts)
tasks.lim0 = 13124945
tasks.lim1 = 44217255
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.I = 14
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 4290599927282655217959482187985966818657416957 356134535978860224089230367267818137775228169496423702266796898260168907563441732637
Info:Square Root: Total cpu/real time for sqrt: 1895.21/554.51
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 315.07/276.755
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 249.2s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 169.03/187.565
Info:Linear Algebra: Total cpu/real time for bwc: 45131.5/11580.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 28868.98, WCT time 7371.64, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (52480 iterations)
Info:Linear Algebra: Lingen CPU time 327.04, WCT time 83.04
Info:Linear Algebra: Mksol: CPU time 15631.52,  WCT time 4009.81, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (26112 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23737280
Info:Lattice Sieving: Average J: 8002.36 for 57186 special-q, max bucket fill -bkmult 1.0,1s:1.068320
Info:Lattice Sieving: Total time: 83695.6s
Info:Generate Factor Base: Total cpu/real time for makefb: 40.62/10.7445
Info:Generate Free Relations: Total cpu/real time for freerel: 252.81/64.5393
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5347.89
Info:Polynomial Selection (root optimized): Rootsieve time: 5345.45
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 102.13/120.108
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 119.9s
Info:Filtering - Merging: Merged matrix has 1671001 rows and total weight 286392262 (171.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 416.9/118.452
Info:Filtering - Merging: Total cpu/real time for replay: 66.85/55.7398
Info:Quadratic Characters: Total cpu/real time for characters: 64.33/26.5681
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38499/38.470/46.116/50.100/0.836
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30541/37.570/41.376/46.920/0.969
Info:Polynomial Selection (size optimized): Total time: 4833.03
Info:Square Root: Total cpu/real time for sqrt: 1895.21/554.51
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 216242/58329.5
Info:root: Cleaning up computation data in /tmp/cado.ygm5swzq
4290599927282655217959482187985966818657416957 356134535978860224089230367267818137775228169496423702266796898260168907563441732637
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 JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 9, 2022 22:48:55 UTC 2022 年 3 月 10 日 (木) 7 時 48 分 55 秒 (日本時間)

536×10226-59

c184

composite cofactor 合成数の残り
1509362602285073641009566216332962163155597717574031378582383757060624690354222630217638705971192897768115950729380094220750361276716721009220099953376545263258894963832124928619624757<184>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 15, 2022 21:23:31 UTC 2022 年 3 月 16 日 (水) 6 時 23 分 31 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovApril 15, 2022 14:09:25 UTC 2022 年 4 月 15 日 (金) 23 時 9 分 25 秒 (日本時間)

536×10227-59

c133

name 名前Ignacio Santos
date 日付March 9, 2022 22:48:17 UTC 2022 年 3 月 10 日 (木) 7 時 48 分 17 秒 (日本時間)
composite number 合成数
2615007399724154646169457672808441722335218529712920843180995463206021692733126787233949466616917622644379501631812295199009165481877<133>
prime factors 素因数
1391488820895651103611894474012014708492767<43>
1879287393800956890122703034270405763777911862905268791550252002017629019313090065760728331<91>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2008613076
Step 1 took 4859ms
Step 2 took 3031ms
********** Factor found in step 2: 1391488820895651103611894474012014708492767
Found prime factor of 43 digits: 1391488820895651103611894474012014708492767
Prime cofactor 1879287393800956890122703034270405763777911862905268791550252002017629019313090065760728331 has 91 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 JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

536×10228-59

c166

composite cofactor 合成数の残り
7062357426943386899079658207186911559600491689747670857893737229117575533793324532652898655056286371131504057442615038408181061007618437501025017390412372014018503041<166>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 13, 2022 05:41:13 UTC 2022 年 3 月 13 日 (日) 14 時 41 分 13 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovApril 15, 2022 14:07:26 UTC 2022 年 4 月 15 日 (金) 23 時 7 分 26 秒 (日本時間)

536×10231-59

c201

composite cofactor 合成数の残り
190049495411887295729431575085708306575368847431519487497187551528144830519003185169399498371225140834416715660581072150287033606548218797975335027217958074029025312306417215848982159688120366126175399<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMarch 20, 2022 15:49:10 UTC 2022 年 3 月 21 日 (月) 0 時 49 分 10 秒 (日本時間)
2350Ignacio SantosAugust 6, 2022 10:51:29 UTC 2022 年 8 月 6 日 (土) 19 時 51 分 29 秒 (日本時間)

536×10235-59

c219

composite cofactor 合成数の残り
409890805125707035476734209438446102138680468485327492889236622297975877304759694964029871962623618672866613965843477870866667477993085175326744494930036981002065448582700340484911905861088963554490215842300546227345957<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMarch 20, 2022 15:49:18 UTC 2022 年 3 月 21 日 (月) 0 時 49 分 18 秒 (日本時間)
2350Ignacio SantosAugust 6, 2022 11:07:29 UTC 2022 年 8 月 6 日 (土) 20 時 7 分 29 秒 (日本時間)

536×10236-59

c203

name 名前Dmitry Domanov
date 日付March 21, 2022 08:52:23 UTC 2022 年 3 月 21 日 (月) 17 時 52 分 23 秒 (日本時間)
composite number 合成数
77207871840621614558897751081062484127164098873850576467822745811414202394539492719357113378220547903944702412358046121373286773791593594948702194629966221779952960013143737928484136911431546468496967617<203>
prime factors 素因数
90650769863569737308187912241938701<35>
composite cofactor 合成数の残り
851706741783000729908195010358351291013165109860258469595447744104289810471490759222682190200745087916037982857809610646995833638386876361102400844029165136143271619717<168>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2602369704
Step 1 took 9815ms
Step 2 took 3502ms
********** Factor found in step 2: 90650769863569737308187912241938701
Found probable prime factor of 35 digits: 90650769863569737308187912241938701
Composite cofactor 851706741783000729908195010358351291013165109860258469595447744104289810471490759222682190200745087916037982857809610646995833638386876361102400844029165136143271619717 has 168 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 20, 2022 15:49:29 UTC 2022 年 3 月 21 日 (月) 0 時 49 分 29 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovApril 15, 2022 14:07:26 UTC 2022 年 4 月 15 日 (金) 23 時 7 分 26 秒 (日本時間)

536×10237-59

c151

name 名前Ignacio Santos
date 日付March 9, 2022 19:07:31 UTC 2022 年 3 月 10 日 (木) 4 時 7 分 31 秒 (日本時間)
composite number 合成数
4871524696909138240873185777097808067636048777238243943577048783107211037773097400076846265875615973492665336518820073281465563207981356236524693259133<151>
prime factors 素因数
4235330665067568796039940649245395223<37>
1150211183530204921086220459130840097815915091347392147479212099417979875148357533827249506256447568186905556012171<115>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2570245162
Step 1 took 5953ms
Step 2 took 3391ms
********** Factor found in step 2: 4235330665067568796039940649245395223
Found prime factor of 37 digits: 4235330665067568796039940649245395223
Prime cofactor 1150211183530204921086220459130840097815915091347392147479212099417979875148357533827249506256447568186905556012171 has 115 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 JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)

536×10238-59

c213

composite cofactor 合成数の残り
417711751675044232691096654574472752860537910267493143056652351987326779566392937934514110820990588800539055788953363989362438599048150537343878175131503824831947490494925315652068278801958694775390783024854103423<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMarch 20, 2022 15:49:37 UTC 2022 年 3 月 21 日 (月) 0 時 49 分 37 秒 (日本時間)
2350Ignacio SantosAugust 6, 2022 11:17:37 UTC 2022 年 8 月 6 日 (土) 20 時 17 分 37 秒 (日本時間)

536×10239-59

c234

composite cofactor 合成数の残り
113686567892764635790815909090451143828450956563766642157242500904693739786568952213155612381871357476266788905179368081060134881265037951747284601098171946501010065916893146323595389462449289507203831033720252628946205796167555802739<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMarch 23, 2022 12:57:46 UTC 2022 年 3 月 23 日 (水) 21 時 57 分 46 秒 (日本時間)
2350Ignacio SantosAugust 6, 2022 11:34:04 UTC 2022 年 8 月 6 日 (土) 20 時 34 分 4 秒 (日本時間)

536×10240-59

c234

name 名前Dmitry Domanov
date 日付March 23, 2022 21:16:47 UTC 2022 年 3 月 24 日 (木) 6 時 16 分 47 秒 (日本時間)
composite number 合成数
503335165952257053719999727485326195251871288164326648802869660274164505060459920535866769472874312415169888976611005544542046861377274230384684652794777664766825265605436117454331501244977465116490139464549139379738102974928222738507<234>
prime factors 素因数
8529095240740477167617771832366490083923<40>
composite cofactor 合成数の残り
59013899100106497212038623506952243390737211293461102417215032813493510482139967821019867774026300005358651540000257551212100558405387515907795690596432972905081115837257995301803791633118618409<194>
factorization results 素因数分解の結果
Resuming ECM residue saved by @ec78329e6a33 with GMP-ECM 7.0.5-dev on Wed Mar 23 15:23:19 2022 
Input number is 503335165952257053719999727485326195251871288164326648802869660274164505060459920535866769472874312415169888976611005544542046861377274230384684652794777664766825265605436117454331501244977465116490139464549139379738102974928222738507 (234 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:561265605
Step 1 took 0ms
Step 2 took 10879ms
********** Factor found in step 2: 8529095240740477167617771832366490083923
Found prime factor of 40 digits: 8529095240740477167617771832366490083923
Composite cofactor 59013899100106497212038623506952243390737211293461102417215032813493510482139967821019867774026300005358651540000257551212100558405387515907795690596432972905081115837257995301803791633118618409 has 194 digits

c194

name 名前Dmitry Domanov
date 日付April 16, 2022 03:57:07 UTC 2022 年 4 月 16 日 (土) 12 時 57 分 7 秒 (日本時間)
composite number 合成数
59013899100106497212038623506952243390737211293461102417215032813493510482139967821019867774026300005358651540000257551212100558405387515907795690596432972905081115837257995301803791633118618409<194>
prime factors 素因数
304357090159819172596913563527154205539<39>
composite cofactor 合成数の残り
193896909282179211272725509792478465535264269491700257183319072121426106249943407348653906155162697870275799389297994570928826200785501410842913275416515331<156>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:946915919
Step 1 took 36229ms
Step 2 took 15617ms
********** Factor found in step 2: 304357090159819172596913563527154205539
Found prime factor of 39 digits: 304357090159819172596913563527154205539
Composite cofactor 193896909282179211272725509792478465535264269491700257183319072121426106249943407348653906155162697870275799389297994570928826200785501410842913275416515331 has 156 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 23, 2022 12:57:54 UTC 2022 年 3 月 23 日 (水) 21 時 57 分 54 秒 (日本時間)
4511e656801200Dmitry DomanovApril 15, 2022 14:07:31 UTC 2022 年 4 月 15 日 (金) 23 時 7 分 31 秒 (日本時間)
4480Ignacio SantosApril 21, 2022 20:24:20 UTC 2022 年 4 月 22 日 (金) 5 時 24 分 20 秒 (日本時間)

536×10241-59

c175

composite cofactor 合成数の残り
7733187021277178670176877364771860546983372598170317824357112470072204920998913226958437194225986727563510751079985297156036778668329655756756592906339789585997741137608394641<175>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 13, 2022 09:17:54 UTC 2022 年 3 月 13 日 (日) 18 時 17 分 54 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovApril 15, 2022 14:10:43 UTC 2022 年 4 月 15 日 (金) 23 時 10 分 43 秒 (日本時間)

536×10242-59

c226

name 名前Dmitry Domanov
date 日付March 24, 2022 05:56:06 UTC 2022 年 3 月 24 日 (木) 14 時 56 分 6 秒 (日本時間)
composite number 合成数
1037064776151775657594877284451405643820925802969173682139094939507385464920637852275033929268503104237523430685119089252756386193664030616454761049385512437914816837087667223476178650825879955215685800355345623134204170398201<226>
prime factors 素因数
19464993359950943337843227709709123923195593<44>
53278455172018066425401838001675392003086262078981979833354113814239518893604686291700019789142738518214665278064051145217187741946834673966363764315039345190020441115955616691175857<182>
factorization results 素因数分解の結果
Resuming ECM residue saved by @ec78329e6a33 with GMP-ECM 7.0.5-dev on Wed Mar 23 15:27:46 2022 
Input number is 1037064776151775657594877284451405643820925802969173682139094939507385464920637852275033929268503104237523430685119089252756386193664030616454761049385512437914816837087667223476178650825879955215685800355345623134204170398201 (226 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1516928585
Step 1 took 0ms
Step 2 took 11080ms
********** Factor found in step 2: 19464993359950943337843227709709123923195593
Found prime factor of 44 digits: 19464993359950943337843227709709123923195593
Prime cofactor 53278455172018066425401838001675392003086262078981979833354113814239518893604686291700019789142738518214665278064051145217187741946834673966363764315039345190020441115955616691175857 has 182 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMarch 23, 2022 12:58:02 UTC 2022 年 3 月 23 日 (水) 21 時 58 分 2 秒 (日本時間)

536×10244-59

c191

composite cofactor 合成数の残り
80959699730861669065895319075071687583135917715820822851853141278104531827552269659220099984869141554335644504599351869592349575697221591396833585389588048254012457751479056340378224190882651<191>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 15, 2022 21:23:39 UTC 2022 年 3 月 16 日 (水) 6 時 23 分 39 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovApril 15, 2022 14:08:33 UTC 2022 年 4 月 15 日 (金) 23 時 8 分 33 秒 (日本時間)

536×10245-59

c229

composite cofactor 合成数の残り
5103907606471770885263417730696345298809758554471788295627973259934113639569285579861514675764150134391680228690655156682142530621180761218058080964307459745007323252963674295956247973715747179185520078965210337376540656741230963<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMarch 23, 2022 12:58:10 UTC 2022 年 3 月 23 日 (水) 21 時 58 分 10 秒 (日本時間)
2350Ignacio SantosAugust 6, 2022 13:45:05 UTC 2022 年 8 月 6 日 (土) 22 時 45 分 5 秒 (日本時間)

536×10248-59

c155

composite cofactor 合成数の残り
50324259347612921508940543380312773794190458307393990410655550279717319571842811264310358191421937847955876603693763408293525504296130568604329381662006721<155>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 9, 2022 19:08:22 UTC 2022 年 3 月 10 日 (木) 4 時 8 分 22 秒 (日本時間)
4511e64480Ignacio SantosMarch 12, 2022 22:21:58 UTC 2022 年 3 月 13 日 (日) 7 時 21 分 58 秒 (日本時間)

536×10249-59

c238

composite cofactor 合成数の残り
1189707287312533253834491073490914682499401124479470987107796243875785421638174424622917564889716374974996818230788907059497997228431162386072751393742562994518167295083197856778530079542294286131886488152114096895671284936609374901101579<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMarch 23, 2022 12:58:17 UTC 2022 年 3 月 23 日 (水) 21 時 58 分 17 秒 (日本時間)
2350Ignacio SantosAugust 6, 2022 13:46:08 UTC 2022 年 8 月 6 日 (土) 22 時 46 分 8 秒 (日本時間)

536×10251-59

c213

composite cofactor 合成数の残り
401280403164542008379127310001181063499427682821400589752629251797025639037782855524911342863795959535313459575175780929532806740922577788931587234787451653949783152311847972694275739101301147903579173248024076033<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMarch 20, 2022 15:49:46 UTC 2022 年 3 月 21 日 (月) 0 時 49 分 46 秒 (日本時間)
2350Ignacio SantosAugust 6, 2022 13:46:23 UTC 2022 年 8 月 6 日 (土) 22 時 46 分 23 秒 (日本時間)

536×10252-59

c245

composite cofactor 合成数の残り
51192450461370121248263551005881915617083780866736924198067863876521673921517961138906391143588021920337954143945127943168766065956067604602996498608780929378432493499073342388943540888859283225094083832574454680790375313883322414274950247540163<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMarch 23, 2022 12:58:25 UTC 2022 年 3 月 23 日 (水) 21 時 58 分 25 秒 (日本時間)
2350Ignacio SantosAugust 6, 2022 13:46:58 UTC 2022 年 8 月 6 日 (土) 22 時 46 分 58 秒 (日本時間)

536×10253-59

c230

composite cofactor 合成数の残り
31781799727179291585604071710131213890253946408734326351670678407794973572933552950453525335097023439323067127137905981785277251590006140849154512295174362442894800996892293149708132348479479031812078029106888981751366815794108099<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMarch 23, 2022 12:58:35 UTC 2022 年 3 月 23 日 (水) 21 時 58 分 35 秒 (日本時間)
2350Ignacio SantosAugust 6, 2022 13:47:28 UTC 2022 年 8 月 6 日 (土) 22 時 47 分 28 秒 (日本時間)

536×10256-59

c204

composite cofactor 合成数の残り
100775183040287584494596100849159083613686442630080038362094849360234522433980673583724086925093221440146611592203267965523382446698697836334405306055463213488720521977276556154965744224780650791442725127<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMarch 20, 2022 15:49:57 UTC 2022 年 3 月 21 日 (月) 0 時 49 分 57 秒 (日本時間)
2350Ignacio SantosAugust 6, 2022 13:47:52 UTC 2022 年 8 月 6 日 (土) 22 時 47 分 52 秒 (日本時間)

536×10257-59

c250

composite cofactor 合成数の残り
9036970645650827253776664048701792675247491160972310028151908573257970292194841878737876413884532196531657368454228270133898728704175299534248779639939152424360886573792353679704350582201733690046505945374515216578044796319128556692950198418956189713<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 15, 2022 21:00:06 UTC 2022 年 3 月 16 日 (水) 6 時 0 分 6 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovApril 25, 2022 18:49:20 UTC 2022 年 4 月 26 日 (火) 3 時 49 分 20 秒 (日本時間)

536×10258-59

c230

composite cofactor 合成数の残り
14729137175254627736353679147042512641861930158252288001143396358040579855772789388696116028345417423075888992776309087533753420093443868745131154054599884139666114845677466473692041515533849804864729582363435151864127925764609587<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMarch 23, 2022 12:58:43 UTC 2022 年 3 月 23 日 (水) 21 時 58 分 43 秒 (日本時間)
2350Ignacio SantosAugust 6, 2022 13:48:29 UTC 2022 年 8 月 6 日 (土) 22 時 48 分 29 秒 (日本時間)

536×10260-59

c227

composite cofactor 合成数の残り
24312144012559432875084452027716287357406079862791684474263146331115190923085059337958278115262998387768034387216361269904641126460988645520175929105861593868795310202238252923989627716770309899929052596824273397138617023749699<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMarch 23, 2022 12:58:51 UTC 2022 年 3 月 23 日 (水) 21 時 58 分 51 秒 (日本時間)
2350Ignacio SantosAugust 6, 2022 13:48:57 UTC 2022 年 8 月 6 日 (土) 22 時 48 分 57 秒 (日本時間)

536×10261-59

c249

name 名前Dmitry Domanov
date 日付March 24, 2022 05:56:33 UTC 2022 年 3 月 24 日 (木) 14 時 56 分 33 秒 (日本時間)
composite number 合成数
558703617406472984511095432383975770341587244934088149994606923159810225434328895046126481427980415100605246201307564503381372802042655410541445268039859811443221044438717336039818928617077649484119893418496579943862846720562262475640474062466967177<249>
prime factors 素因数
264599733421324076343285724856336591509<39>
composite cofactor 合成数の残り
2111504838581394784330378198207342103996391383773253759814393797335944982535943365274589754871673567510994451732512054486006429443489638565199238303911775257512548599811406244933205762422230334999889058335490853<211>
factorization results 素因数分解の結果
Resuming ECM residue saved by @ec78329e6a33 with GMP-ECM 7.0.5-dev on Wed Mar 23 15:58:53 2022 
Input number is 558703617406472984511095432383975770341587244934088149994606923159810225434328895046126481427980415100605246201307564503381372802042655410541445268039859811443221044438717336039818928617077649484119893418496579943862846720562262475640474062466967177 (249 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1449483337
Step 1 took 1ms
Step 2 took 11503ms
********** Factor found in step 2: 264599733421324076343285724856336591509
Found prime factor of 39 digits: 264599733421324076343285724856336591509
Composite cofactor 2111504838581394784330378198207342103996391383773253759814393797335944982535943365274589754871673567510994451732512054486006429443489638565199238303911775257512548599811406244933205762422230334999889058335490853 has 211 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMarch 23, 2022 12:58:59 UTC 2022 年 3 月 23 日 (水) 21 時 58 分 59 秒 (日本時間)
2350Ignacio SantosAugust 6, 2022 13:49:43 UTC 2022 年 8 月 6 日 (土) 22 時 49 分 43 秒 (日本時間)

536×10262-59

c203

composite cofactor 合成数の残り
65062036139339797974301795539724056451549906678935382559742634313802135821339697634086828266874099279804201780903377498356406743340864820738550639656539084970215471790727572342044792938552307728621762853<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMarch 20, 2022 15:50:04 UTC 2022 年 3 月 21 日 (月) 0 時 50 分 4 秒 (日本時間)
2350Ignacio SantosAugust 6, 2022 13:58:39 UTC 2022 年 8 月 6 日 (土) 22 時 58 分 39 秒 (日本時間)

536×10263-59

c221

name 名前Dmitry Domanov
date 日付March 24, 2022 11:48:27 UTC 2022 年 3 月 24 日 (木) 20 時 48 分 27 秒 (日本時間)
composite number 合成数
10011964463288662268126751637541666169567490605105249762406942850845472420881230704966258856155134667777633985037927757374620149607970971415803263428363220768235836873373812209760501478030087006666796402820518694630180291<221>
prime factors 素因数
29063606897884864801442342734787083<35>
344484581644176233753105084523271663194636653577195136541692096925321575559544303395859815058989932349523724411280234078326189602522789326760285111116125652766297632098154814827091150377<186>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:487185122
Step 1 took 9611ms
Step 2 took 3807ms
********** Factor found in step 2: 29063606897884864801442342734787083
Found prime factor of 35 digits: 29063606897884864801442342734787083

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMarch 23, 2022 12:59:06 UTC 2022 年 3 月 23 日 (水) 21 時 59 分 6 秒 (日本時間)

536×10264-59

c226

composite cofactor 合成数の残り
8844443599013311383461467012699460400956217340963485255167875185034558454037491867606890217983205046955126348469516196328460812573261612812718517124848585955900397834874386598944622910531029308161288365470999161029374276415813<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMarch 23, 2022 12:59:14 UTC 2022 年 3 月 23 日 (水) 21 時 59 分 14 秒 (日本時間)
2350Ignacio SantosAugust 6, 2022 14:13:11 UTC 2022 年 8 月 6 日 (土) 23 時 13 分 11 秒 (日本時間)

536×10265-59

c236

composite cofactor 合成数の残り
88644721807049055488565426516211414449161775629049233101633668178263850910093249295302348675909659414489656458594279096127217130873360086738229326052344792056733042613239800841422179632522368078685945465327019098296552325313367997658929<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMarch 23, 2022 12:59:21 UTC 2022 年 3 月 23 日 (水) 21 時 59 分 21 秒 (日本時間)
2350Ignacio SantosAugust 6, 2022 14:30:34 UTC 2022 年 8 月 6 日 (土) 23 時 30 分 34 秒 (日本時間)

536×10266-59

c260

composite cofactor 合成数の残り
65546856105885614242554074337239809782779002898656850144484653649709175264203815698945295443801956851250587850436528915607303820139867085528197630766084934038615059254449636403579257005230058244924106798892285035370875087276831221865487126533259125976575546937<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 15, 2022 21:00:50 UTC 2022 年 3 月 16 日 (水) 6 時 0 分 50 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovApril 25, 2022 18:49:40 UTC 2022 年 4 月 26 日 (火) 3 時 49 分 40 秒 (日本時間)

536×10268-59

c270

name 名前Dmitry Domanov
date 日付April 23, 2022 20:03:21 UTC 2022 年 4 月 24 日 (日) 5 時 3 分 21 秒 (日本時間)
composite number 合成数
119111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<270>
prime factors 素因数
3453164179645148466003764799127906871701<40>
34493324068753406352528977752415673359128274351550742964854355661627244011888381461429564724919931768592827415522761762050231551981107740692971533625392726782765215310707584378362410052866126750624202008139992836074114642595442411<230>
factorization results 素因数分解の結果
Resuming ECM residue saved by @88c4cc6896d2 with GMP-ECM 7.0.5-dev on Sat Apr 23 19:20:50 2022 
Input number is 119111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 (270 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1533422905
Step 1 took 0ms
Step 2 took 10681ms
********** Factor found in step 2: 3453164179645148466003764799127906871701
Found prime factor of 40 digits: 3453164179645148466003764799127906871701
Prime cofactor 34493324068753406352528977752415673359128274351550742964854355661627244011888381461429564724919931768592827415522761762050231551981107740692971533625392726782765215310707584378362410052866126750624202008139992836074114642595442411 has 230 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovApril 23, 2022 19:12:00 UTC 2022 年 4 月 24 日 (日) 4 時 12 分 0 秒 (日本時間)

536×10269-59

c212

composite cofactor 合成数の残り
16828632053156338143623104508517347943248848454202504499862598508589137725779828120029746019793776195794437747951285561487106354948142926148011300383061233633372326421228095249187543998899040721860421801787149649<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMarch 20, 2022 15:50:12 UTC 2022 年 3 月 21 日 (月) 0 時 50 分 12 秒 (日本時間)
2350Ignacio SantosAugust 6, 2022 14:44:59 UTC 2022 年 8 月 6 日 (土) 23 時 44 分 59 秒 (日本時間)

536×10271-59

c222

name 名前Dmitry Domanov
date 日付March 24, 2022 05:56:57 UTC 2022 年 3 月 24 日 (木) 14 時 56 分 57 秒 (日本時間)
composite number 合成数
565876843615918600180880550714770524803781272776919156776825087848735861819736592676617196398721539192537427797682550724409518458632705282124153583010833607976531437208992242663353353316295331565393803810235604432136599533<222>
prime factors 素因数
4977470067483035541766176507499824366437<40>
113687643711349601092166396448655033272509396226138492527818254308793169837247087879532957831250212583096932590776122629688033508275782415120494294750298251744563231844127171632696809<183>
factorization results 素因数分解の結果
Resuming ECM residue saved by @ec78329e6a33 with GMP-ECM 7.0.5-dev on Wed Mar 23 16:16:41 2022 
Input number is 565876843615918600180880550714770524803781272776919156776825087848735861819736592676617196398721539192537427797682550724409518458632705282124153583010833607976531437208992242663353353316295331565393803810235604432136599533 (222 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2116868379
Step 1 took 0ms
Step 2 took 11254ms
********** Factor found in step 2: 4977470067483035541766176507499824366437
Found prime factor of 40 digits: 4977470067483035541766176507499824366437
Prime cofactor 113687643711349601092166396448655033272509396226138492527818254308793169837247087879532957831250212583096932590776122629688033508275782415120494294750298251744563231844127171632696809 has 183 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMarch 23, 2022 12:59:28 UTC 2022 年 3 月 23 日 (水) 21 時 59 分 28 秒 (日本時間)

536×10272-59

c225

composite cofactor 合成数の残り
180629635581277670680415251472012961799696266164935669819893946644062117734017678585001498618110851587455267172069645844741762571858290413194767059766103300258355856610070796536661990573028888287069393120124377505799226134639<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMarch 23, 2022 12:59:36 UTC 2022 年 3 月 23 日 (水) 21 時 59 分 36 秒 (日本時間)
2350Ignacio SantosAugust 6, 2022 14:57:58 UTC 2022 年 8 月 6 日 (土) 23 時 57 分 58 秒 (日本時間)

536×10273-59

c250

composite cofactor 合成数の残り
3099744993362946508368366225213946666695378742492552401332533838678070778034573203287378736845298578037695235466745248291408877102132825594468823847841687878386972915722810519201212997960341884063788806945137407651363641993847841926340272077712828253<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 15, 2022 21:00:43 UTC 2022 年 3 月 16 日 (水) 6 時 0 分 43 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovApril 25, 2022 18:49:50 UTC 2022 年 4 月 26 日 (火) 3 時 49 分 50 秒 (日本時間)

536×10274-59

c274

composite cofactor 合成数の残り
6269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269<274>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 11, 2022 15:56:40 UTC 2022 年 3 月 12 日 (土) 0 時 56 分 40 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovApril 23, 2022 19:12:10 UTC 2022 年 4 月 24 日 (日) 4 時 12 分 10 秒 (日本時間)

536×10275-59

c264

name 名前Dmitry Domanov
date 日付April 26, 2022 09:17:57 UTC 2022 年 4 月 26 日 (火) 18 時 17 分 57 秒 (日本時間)
composite number 合成数
478412865052071474229910454368246660345002560731720262017096132558149641825542852617675063381097671833441267852498051645108407466852960200462401764725185036497152443999396522637146192454261310781109669291232500772471070931059103329326775275071352507405128035495153<264>
prime factors 素因数
7236589022398892507686124801999522229451<40>
composite cofactor 合成数の残り
66110271506544673063631426142198396944964588445812023903482537525857941339002143566544779741546014374827599564021106765133688584200419450312851799973465739322827658787139256624510554451582260066724794466746699236284655546803<224>
factorization results 素因数分解の結果
Resuming ECM residue saved by @aa81c877814e with GMP-ECM 7.0.5-dev on Mon Apr 25 19:59:41 2022 
Input number is 478412865052071474229910454368246660345002560731720262017096132558149641825542852617675063381097671833441267852498051645108407466852960200462401764725185036497152443999396522637146192454261310781109669291232500772471070931059103329326775275071352507405128035495153 (264 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3628593987
Step 1 took 0ms
Step 2 took 16436ms
********** Factor found in step 2: 7236589022398892507686124801999522229451
Found prime factor of 40 digits: 7236589022398892507686124801999522229451
Composite cofactor 66110271506544673063631426142198396944964588445812023903482537525857941339002143566544779741546014374827599564021106765133688584200419450312851799973465739322827658787139256624510554451582260066724794466746699236284655546803 has 224 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 15, 2022 21:00:57 UTC 2022 年 3 月 16 日 (水) 6 時 0 分 57 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovApril 25, 2022 18:49:59 UTC 2022 年 4 月 26 日 (火) 3 時 49 分 59 秒 (日本時間)

536×10278-59

c277

composite cofactor 合成数の残り
1364388443426244113529336897034491536209749268168512154766450299096347206312842051673666793941708031055110092910780196003563701158202876415934835178821433116965763013872979508718340333460608374697721776759577446862670230367824869543082601501845488099783632429680539646175385007<277>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 11, 2022 15:57:02 UTC 2022 年 3 月 12 日 (土) 0 時 57 分 2 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovApril 23, 2022 19:12:20 UTC 2022 年 4 月 24 日 (日) 4 時 12 分 20 秒 (日本時間)

536×10282-59

c280

composite cofactor 合成数の残り
1235464278717053325496433057889338358169392294483052703154352360866207977503486268137237953647039841418017955721513443741428390323733130495914439488757505560741739561364081642061104772441770678468116493217623805737071995758853968583249778146573084857495188373727944311908630962671<280>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 11, 2022 15:57:14 UTC 2022 年 3 月 12 日 (土) 0 時 57 分 14 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovApril 23, 2022 19:12:30 UTC 2022 年 4 月 24 日 (日) 4 時 12 分 30 秒 (日本時間)

536×10283-59

c284

composite cofactor 合成数の残り
17015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873<284>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 11, 2022 15:56:05 UTC 2022 年 3 月 12 日 (土) 0 時 56 分 5 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovApril 23, 2022 19:12:38 UTC 2022 年 4 月 24 日 (日) 4 時 12 分 38 秒 (日本時間)

536×10285-59

c262

composite cofactor 合成数の残り
1380744505751920316913543286139093726670457858400507209756265260710546166917562005748529379476795056628472774668278120787598790415754667524716033048174918604714000594258760910019767211267113979429308828885798713038031902002686575764457085483551819909546096372853<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 15, 2022 21:01:08 UTC 2022 年 3 月 16 日 (水) 6 時 1 分 8 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovApril 25, 2022 18:50:09 UTC 2022 年 4 月 26 日 (火) 3 時 50 分 9 秒 (日本時間)

536×10288-59

c250

composite cofactor 合成数の残り
2039070988847729700089707770439403819803917680522358436288253293763732884905558516343720316345664015397722162984072478962883550189310519317755495431845177206115312620274236216693567408005870848440189583548263958280256826318656803183047206928186621673<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 15, 2022 21:01:17 UTC 2022 年 3 月 16 日 (水) 6 時 1 分 17 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovApril 25, 2022 18:50:18 UTC 2022 年 4 月 26 日 (火) 3 時 50 分 18 秒 (日本時間)

536×10289-59

c270

name 名前Dmitry Domanov
date 日付March 12, 2022 21:56:38 UTC 2022 年 3 月 13 日 (日) 6 時 56 分 38 秒 (日本時間)
composite number 合成数
189427222753869720965593969859912877232318383948201466796222402981788232414889667957887901209985702668380665882803411597443638260244100856756635407741003739827274519405666084387496522678109899069051651214307299540828110078309622964160711299374470799557568252026361902181<270>
prime factors 素因数
639308856853105383647216911403998741<36>
composite cofactor 合成数の残り
296300013246014825251657455090642357773243152478939613226490952575428919845350448970001461987368971284432425400763541691485421055385776842605927458972788497133833428351750313469215858317273134512893725782889599277479447072079069421841<234>
factorization results 素因数分解の結果
xaa.res-Resuming ECM residue saved by @1226674d00de with GMP-ECM 7.0.5-dev on Sat Mar 12 09:43:29 2022 
xaa.res-Input number is 189427222753869720965593969859912877232318383948201466796222402981788232414889667957887901209985702668380665882803411597443638260244100856756635407741003739827274519405666084387496522678109899069051651214307299540828110078309622964160711299374470799557568252026361902181 (270 digits)
xaa.res-Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1055330866
xaa.res-Step 1 took 0ms
xaa.res-Step 2 took 14618ms
xaa.res:********** Factor found in step 2: 639308856853105383647216911403998741
xaa.res-Found prime factor of 36 digits: 639308856853105383647216911403998741
xaa.res-Composite cofactor 296300013246014825251657455090642357773243152478939613226490952575428919845350448970001461987368971284432425400763541691485421055385776842605927458972788497133833428351750313469215858317273134512893725782889599277479447072079069421841 has 234 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMarch 11, 2022 15:56:41 UTC 2022 年 3 月 12 日 (土) 0 時 56 分 41 秒 (日本時間)
2350Ignacio SantosAugust 6, 2022 15:18:31 UTC 2022 年 8 月 7 日 (日) 0 時 18 分 31 秒 (日本時間)

536×10290-59

c269

name 名前Dmitry Domanov
date 日付April 25, 2022 22:35:59 UTC 2022 年 4 月 26 日 (火) 7 時 35 分 59 秒 (日本時間)
composite number 合成数
94536561772959712378414283377198354809068993729095699404570789807232603210008910932015285319429443113812587519163923600524364930415035195938714940555744560626546504111325173861222488061971380252863484695036213351169435901208864495907339355679648034781559750733080742969<269>
prime factors 素因数
861668469014886703845535670146970510707<39>
composite cofactor 合成数の残り
109713381854438544802844688609097802740163433191954755114137063114140303279625490719856922882053431676890248446181713720856042324787006813009580882732373955809049315624945926334464578891105248945069895606979557631594650985950280867<231>
factorization results 素因数分解の結果
Resuming ECM residue saved by @aa81c877814e with GMP-ECM 7.0.5-dev on Mon Apr 25 20:48:29 2022 
Input number is 94536561772959712378414283377198354809068993729095699404570789807232603210008910932015285319429443113812587519163923600524364930415035195938714940555744560626546504111325173861222488061971380252863484695036213351169435901208864495907339355679648034781559750733080742969 (269 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1516049782
Step 1 took 0ms
Step 2 took 21082ms
********** Factor found in step 2: 861668469014886703845535670146970510707
Found prime factor of 39 digits: 861668469014886703845535670146970510707
Composite cofactor 109713381854438544802844688609097802740163433191954755114137063114140303279625490719856922882053431676890248446181713720856042324787006813009580882732373955809049315624945926334464578891105248945069895606979557631594650985950280867 has 231 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 15, 2022 21:01:25 UTC 2022 年 3 月 16 日 (水) 6 時 1 分 25 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovApril 25, 2022 18:50:28 UTC 2022 年 4 月 26 日 (火) 3 時 50 分 28 秒 (日本時間)

536×10291-59

c239

composite cofactor 合成数の残り
41934309347921968045740038083023536652730004079979281245107986385162483030222679306403509036147280826476113968118885971308991284306618790040486577634158998927431155365041948036749503639428662617316361243755492417113537066306201908546723931<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMarch 23, 2022 12:59:50 UTC 2022 年 3 月 23 日 (水) 21 時 59 分 50 秒 (日本時間)
2350Ignacio SantosAugust 6, 2022 15:31:15 UTC 2022 年 8 月 7 日 (日) 0 時 31 分 15 秒 (日本時間)

536×10293-59

c262

composite cofactor 合成数の残り
3427112097062458237548829026052373159818162618718411790378292661524107523641126442688382102210487581799947902904562250498564457697977717893186302210865905199538174588705604679796345613091252105779552056888640396505688712493154369153317651551169924039231980972553<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 15, 2022 21:01:36 UTC 2022 年 3 月 16 日 (水) 6 時 1 分 36 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovApril 25, 2022 18:50:37 UTC 2022 年 4 月 26 日 (火) 3 時 50 分 37 秒 (日本時間)

536×10294-59

c292

composite cofactor 合成数の残り
3531310735579932140857133445333860394637151233652864248772935402048950818592087492176433771453042131962973943406792502552953190367954672727871660572520341272194222090456896267747142339493362321705043317850907533682511447112692295022564812069703857429917317257963566887373587640412425470237507<292>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 11, 2022 15:56:00 UTC 2022 年 3 月 12 日 (土) 0 時 56 分 0 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovApril 23, 2022 19:12:47 UTC 2022 年 4 月 24 日 (日) 4 時 12 分 47 秒 (日本時間)

536×10295-59

c291

name 名前Dmitry Domanov
date 日付March 12, 2022 09:27:00 UTC 2022 年 3 月 12 日 (土) 18 時 27 分 0 秒 (日本時間)
composite number 合成数
330193720836609859177922360737256047057533483707003587468532261189393512371021928004832163332541730849611236935863873942386740011562940559893968389495527445966970155354297554441151747731997280830067588067316396736380048044418447849259174041352451303356548539247004308227213938117630897014981<291>
prime factors 素因数
83164416298416089367554894911401216330580903<44>
3970372612870711323374214958535977344715890781567914676031379330748745199099055756078146127928351599677542977028537247019826074468498965644058449940669754752005966355196994409216669049413821341691617506827420721555854728996125126625417617270050227<247>
factorization results 素因数分解の結果
Resuming ECM residue saved by @c6e02a94c692 with GMP-ECM 7.0.5-dev on Fri Mar 11 16:07:13 2022 
Input number is 330193720836609859177922360737256047057533483707003587468532261189393512371021928004832163332541730849611236935863873942386740011562940559893968389495527445966970155354297554441151747731997280830067588067316396736380048044418447849259174041352451303356548539247004308227213938117630897014981 (291 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3862584508
Step 1 took 0ms
Step 2 took 17515ms
********** Factor found in step 2: 83164416298416089367554894911401216330580903
Found prime factor of 44 digits: 83164416298416089367554894911401216330580903
Prime cofactor 3970372612870711323374214958535977344715890781567914676031379330748745199099055756078146127928351599677542977028537247019826074468498965644058449940669754752005966355196994409216669049413821341691617506827420721555854728996125126625417617270050227 has 247 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMarch 11, 2022 15:55:51 UTC 2022 年 3 月 12 日 (土) 0 時 55 分 51 秒 (日本時間)

536×10296-59

c286

composite cofactor 合成数の残り
7718246831757777396606153310582547402400835404191299455237146064992790427397226279920199398362353758547971677807569685174788812180714254975463096190892061030344772183275578888511550950742370494760749529197043042345932366901069879754023036508371344222631038456963438024970739955570193613<286>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 11, 2022 15:55:59 UTC 2022 年 3 月 12 日 (土) 0 時 55 分 59 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovApril 23, 2022 19:12:56 UTC 2022 年 4 月 24 日 (日) 4 時 12 分 56 秒 (日本時間)

536×10298-59

c260

composite cofactor 合成数の残り
36038001018068702641257959574342270845656340695507793088802291400449453595111257652246180672368092884956489515817237725872611986884783447691950957789893849290452294014118270639613773263501441349153584997426162538755673787884798677311265853167189748754603233109<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 15, 2022 21:01:45 UTC 2022 年 3 月 16 日 (水) 6 時 1 分 45 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovApril 25, 2022 18:50:50 UTC 2022 年 4 月 26 日 (火) 3 時 50 分 50 秒 (日本時間)

536×10299-59

c283

name 名前Dmitry Domanov
date 日付March 12, 2022 09:25:42 UTC 2022 年 3 月 12 日 (土) 18 時 25 分 42 秒 (日本時間)
composite number 合成数
3635077245795477634520909149806598355100338728943875374829903198414811308998974532776308025971878250048381940774075291129298338528273125745048847218064978446408591775385261091007935613160675467601406058723121974840961905009722279134840914690719837954376067022047975740628443013003751<283>
prime factors 素因数
139111488859622565597821669117940524273<39>
26130676018165795731979783546388838443113742300542409890381289835109686796583757496792124223541376862676259091900910676190515080512699262725391961896282164472285607122066962643175964462989828200992685479565190453291146375783637971047822431104087<245>
factorization results 素因数分解の結果
Resuming ECM residue saved by @c6e02a94c692 with GMP-ECM 7.0.5-dev on Fri Mar 11 16:02:47 2022 
Input number is 3635077245795477634520909149806598355100338728943875374829903198414811308998974532776308025971878250048381940774075291129298338528273125745048847218064978446408591775385261091007935613160675467601406058723121974840961905009722279134840914690719837954376067022047975740628443013003751 (283 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4260349711
Step 1 took 0ms
Step 2 took 17254ms
********** Factor found in step 2: 139111488859622565597821669117940524273
Found prime factor of 39 digits: 139111488859622565597821669117940524273
Prime cofactor 26130676018165795731979783546388838443113742300542409890381289835109686796583757496792124223541376862676259091900910676190515080512699262725391961896282164472285607122066962643175964462989828200992685479565190453291146375783637971047822431104087 has 245 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMarch 11, 2022 15:56:58 UTC 2022 年 3 月 12 日 (土) 0 時 56 分 58 秒 (日本時間)

536×10300-59

c276

composite cofactor 合成数の残り
973247371088722933825465055068690352496553012020443272756049805748782869349055980112477013939464367370188534553947254492664674326616048464146180989750764939226549534759648439250148892981086855196259295989579133504385744916450974759703029984304604505128963892576597726620809371<276>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 15, 2022 12:00:00 UTC 2022 年 2 月 15 日 (火) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 9, 2022 17:41:32 UTC 2022 年 3 月 10 日 (木) 2 時 41 分 32 秒 (日本時間)
4511e63584Dmitry DomanovMarch 10, 2022 11:05:21 UTC 2022 年 3 月 10 日 (木) 20 時 5 分 21 秒 (日本時間)
5043e6130 / 6675Dmitry DomanovMarch 11, 2022 10:54:09 UTC 2022 年 3 月 11 日 (金) 19 時 54 分 9 秒 (日本時間)