Table of contents 目次

737×10103-89

c99

name 名前Dmitry Domanov
date 日付March 16, 2022 14:02:53 UTC 2022 年 3 月 16 日 (水) 23 時 2 分 53 秒 (日本時間)
composite number 合成数
527343738819883420541820290412561685622420165739056866115653279434080744698084618849969919225535973<99>
prime factors 素因数
1515792271462620764500697294423790758597<40>
347899741110988800087014023187254166087391397742499175323809<60>
factorization results 素因数分解の結果
N=527343738819883420541820290412561685622420165739056866115653279434080744698084618849969919225535973
  ( 99 digits)
SNFS difficulty: 105 digits.
Divisors found:
p40 factor: 1515792271462620764500697294423790758597
p60 factor: 347899741110988800087014023187254166087391397742499175323809
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.71 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 527343738819883420541820290412561685622420165739056866115653279434080744698084618849969919225535973
m: 50000000000000000000000000
deg: 4
c4: 737
c0: -5
skew: 0.29
# Murphy_E = 1.637e-07
type: snfs
lss: 1
rlim: 400000
alim: 400000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 400000/400000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [200000, 420001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 34723 x 34948
Total sieving time: 0.68 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,105.000,4,0,0,0,0,0,0,0,0,400000,400000,25,25,44,44,2.2,2.2,20000
total time: 0.71 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)

737×10105-89

c86

name 名前Ignacio Santos
date 日付March 16, 2022 15:58:46 UTC 2022 年 3 月 17 日 (木) 0 時 58 分 46 秒 (日本時間)
composite number 合成数
21877296876681859818288237288530285859552820259130327282697947097437477466173777405689<86>
prime factors 素因数
6255084465888021112932842045398703903993<40>
3497522215085865550872357086486444162992169473<46>
factorization results 素因数分解の結果
prp46 = 3497522215085865550872357086486444162992169473
prp40 = 6255084465888021112932842045398703903993
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)

737×10106-89

c87

name 名前Ignacio Santos
date 日付March 16, 2022 16:13:36 UTC 2022 年 3 月 17 日 (木) 1 時 13 分 36 秒 (日本時間)
composite number 合成数
666418558665279324259011394000720649538395698723216145488736302130474860501260401246677<87>
prime factors 素因数
33029888443215111379070172591565021175069<41>
20176227958231956540141014039805337981201412633<47>
factorization results 素因数分解の結果
prp47 = 20176227958231956540141014039805337981201412633
prp41 = 33029888443215111379070172591565021175069
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)

737×10107-89

c89

name 名前Ignacio Santos
date 日付March 16, 2022 16:15:36 UTC 2022 年 3 月 17 日 (木) 1 時 15 分 36 秒 (日本時間)
composite number 合成数
75961797982178324569120940902005214505478207557359976090065234579592017344082642149663569<89>
prime factors 素因数
57606140450919081556929513535955252009407<41>
1318640641215990131058356933114071871154767881967<49>
factorization results 素因数分解の結果
prp41 = 57606140450919081556929513535955252009407
prp49 = 1318640641215990131058356933114071871154767881967
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)

737×10118-89

c104

name 名前Dmitry Domanov
date 日付March 16, 2022 18:02:32 UTC 2022 年 3 月 17 日 (木) 3 時 2 分 32 秒 (日本時間)
composite number 合成数
13633939302081555374186926276568764638458403459827228078550618690096244043993371000730142301894647040247<104>
prime factors 素因数
55216144478711818694788635588602814110410547<44>
246919436892918539695289155903294116399978908690921667725101<60>
factorization results 素因数分解の結果
N=13633939302081555374186926276568764638458403459827228078550618690096244043993371000730142301894647040247
  ( 104 digits)
SNFS difficulty: 120 digits.
Divisors found:
p44 factor: 55216144478711818694788635588602814110410547
p60 factor: 246919436892918539695289155903294116399978908690921667725101
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 2.32 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 13633939302081555374186926276568764638458403459827228078550618690096244043993371000730142301894647040247
m: 100000000000000000000000000000
deg: 4
c4: 18425
c0: -2
skew: 0.10
# Murphy_E = 3.159e-08
type: snfs
lss: 1
rlim: 710000
alim: 710000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 710000/710000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [355000, 705001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 69136 x 69362
Total sieving time: 2.28 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,120.000,4,0,0,0,0,0,0,0,0,710000,710000,25,25,46,46,2.2,2.2,50000
total time: 2.32 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)

737×10123-89

c107

name 名前ebina
date 日付March 19, 2022 03:56:41 UTC 2022 年 3 月 19 日 (土) 12 時 56 分 41 秒 (日本時間)
composite number 合成数
18631710953608505147257342793068956849918415653905686740422788155480383544722718632975482672353226991147189<107>
prime factors 素因数
28442641393174310783399335778209840772013394880519<50>
655062611663055982975059852054546568345419663586737336931<57>
factorization results 素因数分解の結果
Sat Mar 19 12:53:05 2022  Msieve v. 1.53 (SVN unknown)
Sat Mar 19 12:53:05 2022  random seeds: 7bed1e20 12bc4811
Sat Mar 19 12:53:05 2022  factoring 18631710953608505147257342793068956849918415653905686740422788155480383544722718632975482672353226991147189 (107 digits)
Sat Mar 19 12:53:06 2022  searching for 15-digit factors
Sat Mar 19 12:53:06 2022  commencing number field sieve (107-digit input)
Sat Mar 19 12:53:06 2022  R0: -5000000000000000000000000000000
Sat Mar 19 12:53:06 2022  R1: 1
Sat Mar 19 12:53:06 2022  A0: -5
Sat Mar 19 12:53:06 2022  A1: 0
Sat Mar 19 12:53:06 2022  A2: 0
Sat Mar 19 12:53:06 2022  A3: 0
Sat Mar 19 12:53:06 2022  A4: 737
Sat Mar 19 12:53:06 2022  skew 0.29, size 2.576e-13, alpha 1.046, combined = 1.912e-08 rroots = 2
Sat Mar 19 12:53:06 2022  
Sat Mar 19 12:53:06 2022  commencing square root phase
Sat Mar 19 12:53:06 2022  reading relations for dependency 1
Sat Mar 19 12:53:06 2022  read 50325 cycles
Sat Mar 19 12:53:06 2022  cycles contain 153880 unique relations
Sat Mar 19 12:53:08 2022  read 153880 relations
Sat Mar 19 12:53:09 2022  multiplying 153880 relations
Sat Mar 19 12:53:11 2022  multiply complete, coefficients have about 4.35 million bits
Sat Mar 19 12:53:11 2022  initial square root is modulo 101921
Sat Mar 19 12:53:15 2022  GCD is N, no factor found
Sat Mar 19 12:53:15 2022  reading relations for dependency 2
Sat Mar 19 12:53:15 2022  read 50281 cycles
Sat Mar 19 12:53:15 2022  cycles contain 153152 unique relations
Sat Mar 19 12:53:17 2022  read 153152 relations
Sat Mar 19 12:53:18 2022  multiplying 153152 relations
Sat Mar 19 12:53:20 2022  multiply complete, coefficients have about 4.33 million bits
Sat Mar 19 12:53:20 2022  initial square root is modulo 96469
Sat Mar 19 12:53:24 2022  GCD is N, no factor found
Sat Mar 19 12:53:24 2022  reading relations for dependency 3
Sat Mar 19 12:53:24 2022  read 50577 cycles
Sat Mar 19 12:53:24 2022  cycles contain 153824 unique relations
Sat Mar 19 12:53:26 2022  read 153824 relations
Sat Mar 19 12:53:26 2022  multiplying 153824 relations
Sat Mar 19 12:53:29 2022  multiply complete, coefficients have about 4.35 million bits
Sat Mar 19 12:53:29 2022  initial square root is modulo 101377
Sat Mar 19 12:53:33 2022  GCD is N, no factor found
Sat Mar 19 12:53:33 2022  reading relations for dependency 4
Sat Mar 19 12:53:33 2022  read 50672 cycles
Sat Mar 19 12:53:33 2022  cycles contain 154202 unique relations
Sat Mar 19 12:53:35 2022  read 154202 relations
Sat Mar 19 12:53:36 2022  multiplying 154202 relations
Sat Mar 19 12:53:38 2022  multiply complete, coefficients have about 4.36 million bits
Sat Mar 19 12:53:38 2022  initial square root is modulo 104381
Sat Mar 19 12:53:42 2022  sqrtTime: 36
Sat Mar 19 12:53:42 2022  p50 factor: 28442641393174310783399335778209840772013394880519
Sat Mar 19 12:53:42 2022  p57 factor: 655062611663055982975059852054546568345419663586737336931
Sat Mar 19 12:53:42 2022  elapsed time 00:00:37
Sat Mar 19 12:53:42 2022 -> Computing 1.64766e+09 scale for this machine...
Sat Mar 19 12:53:42 2022 -> procrels -speedtest> PIPE
Sat Mar 19 12:53:45 2022 -> Factorization summary written to s126-81888_123.txt

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)

737×10126-89

c117

name 名前Ignacio Santos
date 日付March 19, 2022 09:29:51 UTC 2022 年 3 月 19 日 (土) 18 時 29 分 51 秒 (日本時間)
composite number 合成数
786058515634845298249717646972727579781605830222718961510699970286927528102321187201459126300167428724049149180739333<117>
prime factors 素因数
89767182404441027232690959454943040213<38>
8756635716751168081275004914423992752087611636807318937073396557409422385296241<79>
factorization results 素因数分解の結果
N=786058515634845298249717646972727579781605830222718961510699970286927528102321187201459126300167428724049149180739333
  ( 117 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=89767182404441027232690959454943040213 (pp38)
 r2=8756635716751168081275004914423992752087611636807318937073396557409422385296241 (pp79)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.05 hours.
Scaled time: 16.20 units (timescale=7.893).
Factorization parameters were as follows:
n: 786058515634845298249717646972727579781605830222718961510699970286927528102321187201459126300167428724049149180739333
m: 10000000000000000000000000000000
deg: 4
c4: 18425
c0: -2
skew: 0.10
# Murphy_E = 1.31e-08
type: snfs
lss: 1
rlim: 960000
alim: 960000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 960000/960000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [480000, 1005001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 140352 x 140578
Total sieving time: 2.03 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,128.000,4,0,0,0,0,0,0,0,0,960000,960000,26,26,47,47,2.3,2.3,75000
total time: 2.05 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)

737×10127-89

c88

name 名前Ignacio Santos
date 日付March 16, 2022 14:17:43 UTC 2022 年 3 月 16 日 (水) 23 時 17 分 43 秒 (日本時間)
composite number 合成数
5015313267655570007460999553305857188523615665449578307558974590708109179518068211556109<88>
prime factors 素因数
5335278794926051335442680880357450859<37>
940028339742100365315766361300147298882102125979751<51>
factorization results 素因数分解の結果
prp51 = 940028339742100365315766361300147298882102125979751
prp37 = 5335278794926051335442680880357450859
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)

737×10129-89

c98

name 名前Ignacio Santos
date 日付March 16, 2022 16:34:38 UTC 2022 年 3 月 17 日 (木) 1 時 34 分 38 秒 (日本時間)
composite number 合成数
20883882457432267637353983104702830476941129130990100871476458433779925514161863926557234605192863<98>
prime factors 素因数
4553583556254697158461349195725236897<37>
4586252168085649649195844489150626547148838237170842896374079<61>
factorization results 素因数分解の結果
prp37 = 4553583556254697158461349195725236897
prp61 = 4586252168085649649195844489150626547148838237170842896374079
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)

737×10130-89

c125

name 名前Ignacio Santos
date 日付March 19, 2022 09:48:10 UTC 2022 年 3 月 19 日 (土) 18 時 48 分 10 秒 (日本時間)
composite number 合成数
27678802586006865304475992120201686158101981357601626723412944029209827196240502039548434569549026753211409597515508617113543<125>
prime factors 素因数
335143572422768193618487886262246488457096158227515771531613<60>
82587896243736787512547874608385340465006502557999288406156746611<65>
factorization results 素因数分解の結果
N=27678802586006865304475992120201686158101981357601626723412944029209827196240502039548434569549026753211409597515508617113543
  ( 125 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=335143572422768193618487886262246488457096158227515771531613 (pp60)
 r2=82587896243736787512547874608385340465006502557999288406156746611 (pp65)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.62 hours.
Scaled time: 20.68 units (timescale=7.899).
Factorization parameters were as follows:
n: 27678802586006865304475992120201686158101981357601626723412944029209827196240502039548434569549026753211409597515508617113543
m: 100000000000000000000000000000000
deg: 4
c4: 18425
c0: -2
skew: 0.10
# Murphy_E = 8.372e-09
type: snfs
lss: 1
rlim: 1120000
alim: 1120000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1120000/1120000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [560000, 1260001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 183120 x 183345
Total sieving time: 2.59 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,132.000,4,0,0,0,0,0,0,0,0,1120000,1120000,26,26,47,47,2.3,2.3,100000
total time: 2.62 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)

737×10132-89

c110

name 名前Ignacio Santos
date 日付March 19, 2022 23:18:31 UTC 2022 年 3 月 20 日 (日) 8 時 18 分 31 秒 (日本時間)
composite number 合成数
15844240652286166298199836154305865777688767016915530962411200794278450543979198197256515268416832511779512357<110>
prime factors 素因数
253316564072086585251840450110866193045422482409571<51>
62547195483740070620481326171071463770135454250767952734167<59>
factorization results 素因数分解の結果
N=15844240652286166298199836154305865777688767016915530962411200794278450543979198197256515268416832511779512357
  ( 110 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=253316564072086585251840450110866193045422482409571 (pp51)
 r2=62547195483740070620481326171071463770135454250767952734167 (pp59)
Version: Msieve v. 1.52 (SVN 927)
Total time: 3.37 hours.
Scaled time: 26.48 units (timescale=7.862).
Factorization parameters were as follows:
n: 15844240652286166298199836154305865777688767016915530962411200794278450543979198197256515268416832511779512357
m: 1000000000000000000000000000000000
deg: 4
c4: 737
c0: -8
skew: 0.32
# Murphy_E = 6.936e-09
type: snfs
lss: 1
rlim: 1240000
alim: 1240000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1240000/1240000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [620000, 1520001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 200933 x 201158
Total sieving time: 3.34 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,134.000,4,0,0,0,0,0,0,0,0,1240000,1240000,26,26,47,47,2.3,2.3,100000
total time: 3.37 hours.
software ソフトウェア
GNFS, Msieve

ECM

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

737×10135-89

c104

name 名前Erik Branger
date 日付March 19, 2022 15:04:34 UTC 2022 年 3 月 20 日 (日) 0 時 4 分 34 秒 (日本時間)
composite number 合成数
13880349196766365936982127714468016690240162646296743912088885273194920463560840385209211064364719830899<104>
prime factors 素因数
190446801476502855291208536356357396261561<42>
72883078577084478791470282331323166626804755654183457977150859<62>
factorization results 素因数分解の結果
Number: 81888_135
N = 13880349196766365936982127714468016690240162646296743912088885273194920463560840385209211064364719830899 (104 digits)
SNFS difficulty: 138 digits.
Divisors found:
r1=190446801476502855291208536356357396261561 (pp42)
r2=72883078577084478791470282331323166626804755654183457977150859 (pp62)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 5.71 hours.
Factorization parameters were as follows:
n: 13880349196766365936982127714468016690240162646296743912088885273194920463560840385209211064364719830899
m: 5000000000000000000000000000000000
deg: 4
c4: 737
c0: -5
skew: 0.29
# Murphy_E = 4.959e-09
type: snfs
lss: 1
rlim: 1380000
alim: 1380000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1380000/1380000
Large primes per side: 3
Large prime bits: 26/26
Sieved rational special-q in [0, 0)
Total raw relations: 3400242
Relations: 291294 relations
Pruned matrix : 180758 x 180995
Polynomial selection time: 0.00 hours.
Total sieving time: 5.63 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.04 hours.
time per square root: 0.02 hours.
Prototype def-par.txt line would be: snfs,138,4,0,0,0,0,0,0,0,0,1380000,1380000,26,26,48,48,2.3,2.3,100000
total time: 5.71 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 16, speed: 3.79GHz
software ソフトウェア
GGNFS, 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)

737×10142-89

c138

name 名前Ignacio Santos
date 日付March 20, 2022 10:59:48 UTC 2022 年 3 月 20 日 (日) 19 時 59 分 48 秒 (日本時間)
composite number 合成数
638531761626822977855683851055232217626872882101911401941968292782667700793546826471152919779617303742887778519410325881659011216672454173<138>
prime factors 素因数
215927740991822202936826562041068485959<39>
2957154827322562458141547719783497045389467299215174476857635130474006991066849406995542365830189947<100>
factorization results 素因数分解の結果
N=638531761626822977855683851055232217626872882101911401941968292782667700793546826471152919779617303742887778519410325881659011216672454173
  ( 138 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=215927740991822202936826562041068485959 (pp39)
 r2=2957154827322562458141547719783497045389467299215174476857635130474006991066849406995542365830189947 (pp100)
Version: Msieve v. 1.52 (SVN 927)
Total time: 9.66 hours.
Scaled time: 76.12 units (timescale=7.880).
Factorization parameters were as follows:
n: 638531761626822977855683851055232217626872882101911401941968292782667700793546826471152919779617303742887778519410325881659011216672454173
m: 100000000000000000000000000000000000
deg: 4
c4: 18425
c0: -2
skew: 0.10
# Murphy_E = 2.124e-09
type: snfs
lss: 1
rlim: 1780000
alim: 1780000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1780000/1780000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [890000, 1890001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 265031 x 265256
Total sieving time: 9.61 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,144.000,4,0,0,0,0,0,0,0,0,1780000,1780000,26,26,49,49,2.3,2.3,100000
total time: 9.66 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)

737×10144-89

c112

name 名前Erik Branger
date 日付March 20, 2022 20:12:23 UTC 2022 年 3 月 21 日 (月) 5 時 12 分 23 秒 (日本時間)
composite number 合成数
1738871766689766520091932811165064796466677810999381810465273522694364156239914317485055235304452571919519216461<112>
prime factors 素因数
55917875866750484013639920866601220036304196247724921<53>
31096885204177129729175290428844703483825051212771029050741<59>
factorization results 素因数分解の結果
Number: 81888_144
N = 1738871766689766520091932811165064796466677810999381810465273522694364156239914317485055235304452571919519216461 (112 digits)
SNFS difficulty: 147 digits.
Divisors found:
r1=55917875866750484013639920866601220036304196247724921 (pp53)
r2=31096885204177129729175290428844703483825051212771029050741 (pp59)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 8.65 hours.
Factorization parameters were as follows:
n: 1738871766689766520091932811165064796466677810999381810465273522694364156239914317485055235304452571919519216461
m: 1000000000000000000000000000000000000
deg: 4
c4: 737
c0: -8
skew: 0.32
# Murphy_E = 1.742e-09
type: snfs
lss: 1
rlim: 1960000
alim: 1960000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1960000/1960000
Large primes per side: 3
Large prime bits: 26/26
Sieved rational special-q in [0, 0)
Total raw relations: 4090347
Relations: 574920 relations
Pruned matrix : 342460 x 342685
Polynomial selection time: 0.00 hours.
Total sieving time: 8.56 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.03 hours.
time per square root: 0.03 hours.
Prototype def-par.txt line would be: snfs,147,4,0,0,0,0,0,0,0,0,1960000,1960000,26,26,49,49,2.3,2.3,100000
total time: 8.65 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 16, speed: 3.79GHz
software ソフトウェア
GGNFS, 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)

737×10145-89

c140

name 名前Ignacio Santos
date 日付March 21, 2022 14:07:54 UTC 2022 年 3 月 21 日 (月) 23 時 7 分 54 秒 (日本時間)
composite number 合成数
92684564521384957403331131037412168484793242241383907062106052873010224629153588962644171657548115236114997071821709204983245347134253629437<140>
prime factors 素因数
2860857500320628588631870715350860356978785933191321694579017<61>
32397476809312382786883841521807700386758515998387822476280748919636370008618261<80>
factorization results 素因数分解の結果
N=92684564521384957403331131037412168484793242241383907062106052873010224629153588962644171657548115236114997071821709204983245347134253629437
  ( 140 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=2860857500320628588631870715350860356978785933191321694579017 (pp61)
 r2=32397476809312382786883841521807700386758515998387822476280748919636370008618261 (pp80)
Version: Msieve v. 1.52 (SVN 927)
Total time: 5.84 hours.
Scaled time: 46.10 units (timescale=7.899).
Factorization parameters were as follows:
n: 92684564521384957403331131037412168484793242241383907062106052873010224629153588962644171657548115236114997071821709204983245347134253629437
m: 100000000000000000000000000000
deg: 5
c5: 737
c0: -8
skew: 0.40
# Murphy_E = 1.649e-09
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1000000, 2300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 320705 x 320930
Total sieving time: 5.76 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,147.000,5,0,0,0,0,0,0,0,0,2000000,2000000,26,26,49,49,2.3,2.3,100000
total time: 5.84 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)

737×10150-89

c151

name 名前Bob Backstrom
date 日付March 18, 2022 04:55:37 UTC 2022 年 3 月 18 日 (金) 13 時 55 分 37 秒 (日本時間)
composite number 合成数
3412037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037<151>
prime factors 素因数
5740779141751901299145267264207516613446262802267<49>
26663682402164925645633330487390545494686481350253<50>
22290651906528755364617300916571903233856527615183187<53>
factorization results 素因数分解の結果
Number: n
N=3412037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037  ( 151 digits)
SNFS difficulty: 152 digits.
Divisors found:

Fri Mar 18 15:47:50 2022  found factor: 5740779141751901299145267264207516613446262802267
Fri Mar 18 15:48:04 2022  found factor: 5740779141751901299145267264207516613446262802267
Fri Mar 18 15:48:31 2022  found factor: 5740779141751901299145267264207516613446262802267
Fri Mar 18 15:48:45 2022  p49 factor: 5740779141751901299145267264207516613446262802267
Fri Mar 18 15:48:45 2022  p50 factor: 26663682402164925645633330487390545494686481350253
Fri Mar 18 15:48:45 2022  p53 factor: 22290651906528755364617300916571903233856527615183187
Fri Mar 18 15:48:45 2022  elapsed time 00:06:01 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.319).
Factorization parameters were as follows:
#
# N = 737x10^150-8 = 818(150)
#
n: 3412037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037
m: 1000000000000000000000000000000
deg: 5
c5: 737
c0: -8
skew: 0.40
# Murphy_E = 1.066e-09
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 6850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1562412 hash collisions in 15508842 relations (14953580 unique)
Msieve: matrix is 306329 x 306557 (102.1 MB)

Sieving start time : 2022/03/18 15:09:52
Sieving end time  : 2022/03/18 15:34:48

Total sieving time: 0hrs 24min 56secs.

Total relation processing time: 0hrs 1min 36sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 9sec.

Prototype def-par.txt line would be:
snfs,152,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116231] 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)
[    0.154131] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798288)
[    0.152037] smpboot: Total of 16 processors activated (102386.30 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)

737×10151-89

c98

name 名前Ignacio Santos
date 日付March 16, 2022 14:40:50 UTC 2022 年 3 月 16 日 (水) 23 時 40 分 50 秒 (日本時間)
composite number 合成数
55328826982047526773414806860538655404163579011824797259029636827546902846689290536496711067447953<98>
prime factors 素因数
10112594159487804078445209451797691589111266507<47>
5471279288918867649968684732311922051000604681477779<52>
factorization results 素因数分解の結果
prp52 = 5471279288918867649968684732311922051000604681477779
prp47 = 10112594159487804078445209451797691589111266507
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)

737×10154-89

c114

name 名前Ignacio Santos
date 日付March 23, 2022 21:03:37 UTC 2022 年 3 月 24 日 (木) 6 時 3 分 37 秒 (日本時間)
composite number 合成数
582171609282318965605398664981417353201554994689114772105973014339341914804356473149140954495036351570048984504893<114>
prime factors 素因数
270972304349123786067097706254744869976158689<45>
2148454288273839492803456628398486743918023954974182996496876346780637<70>
factorization results 素因数分解の結果
N=582171609282318965605398664981417353201554994689114772105973014339341914804356473149140954495036351570048984504893
  ( 114 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=270972304349123786067097706254744869976158689 (pp45)
 r2=2148454288273839492803456628398486743918023954974182996496876346780637 (pp70)
Version: Msieve v. 1.52 (SVN 927)
Total time: 13.06 hours.
Scaled time: 102.74 units (timescale=7.868).
Factorization parameters were as follows:
n: 582171609282318965605398664981417353201554994689114772105973014339341914804356473149140954495036351570048984504893
m: 5000000000000000000000000000000
deg: 5
c5: 1474
c0: -5
skew: 0.32
# Murphy_E = 6.484e-10
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1450000, 2550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 580250 x 580476
Total sieving time: 12.95 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,156.000,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 13.06 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric 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 21, 2022 18:14:26 UTC 2022 年 3 月 22 日 (火) 3 時 14 分 26 秒 (日本時間)

737×10155-89

c151

name 名前Bob Backstrom
date 日付March 18, 2022 04:12:24 UTC 2022 年 3 月 18 日 (金) 13 時 12 分 24 秒 (日本時間)
composite number 合成数
4553004884379622504619724630310829998581587623536551795032986736608729216181367003576672602252952842977796162774434377176113935580355532228355496644491<151>
prime factors 素因数
20607997458034948513897278948692032610734367032888849913<56>
220933882278039108333655093820316532922228647847124521575263473364715700741657204276548541612707<96>
factorization results 素因数分解の結果
Number: n
N=4553004884379622504619724630310829998581587623536551795032986736608729216181367003576672602252952842977796162774434377176113935580355532228355496644491  ( 151 digits)
SNFS difficulty: 157 digits.
Divisors found:

Fri Mar 18 15:07:18 2022  p56 factor: 20607997458034948513897278948692032610734367032888849913
Fri Mar 18 15:07:18 2022  p96 factor: 220933882278039108333655093820316532922228647847124521575263473364715700741657204276548541612707
Fri Mar 18 15:07:18 2022  elapsed time 00:06:24 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.297).
Factorization parameters were as follows:
#
# N = 737x10^155-8 = 818(155)
#
n: 4553004884379622504619724630310829998581587623536551795032986736608729216181367003576672602252952842977796162774434377176113935580355532228355496644491
m: 10000000000000000000000000000000
deg: 5
c5: 737
c0: -8
skew: 0.40
# Murphy_E = 6.858e-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 1851959 hash collisions in 16214856 relations (15374224 unique)
Msieve: matrix is 368750 x 368975 (122.8 MB)

Sieving start time : 2022/03/18 14:26:17
Sieving end time  : 2022/03/18 15:00:34

Total sieving time: 0hrs 34min 17secs.
Total relation processing time: 0hrs 2min 16sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 18sec.

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) ----------
[    0.116231] 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)
[    0.154131] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798288)
[    0.152037] smpboot: Total of 16 processors activated (102386.30 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)

737×10156-89

c151

name 名前Bob Backstrom
date 日付March 18, 2022 01:49:13 UTC 2022 年 3 月 18 日 (金) 10 時 49 分 13 秒 (日本時間)
composite number 合成数
1152524036397015575131637636134356441900021664324274938527776992747837111153871785807501876221558193231135320808959404719364807066475472155475911609607<151>
prime factors 素因数
1461909422854664541717720193501913994333956074993<49>
788368977160354169030327052659340578406036031238563328643672111762613793108153138863774728833713902199<102>
factorization results 素因数分解の結果
Number: n
N=1152524036397015575131637636134356441900021664324274938527776992747837111153871785807501876221558193231135320808959404719364807066475472155475911609607  ( 151 digits)
SNFS difficulty: 158 digits.
Divisors found:

Fri Mar 18 12:45:43 2022  p49 factor: 1461909422854664541717720193501913994333956074993
Fri Mar 18 12:45:43 2022  p102 factor: 788368977160354169030327052659340578406036031238563328643672111762613793108153138863774728833713902199
Fri Mar 18 12:45:43 2022  elapsed time 00:10:21 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.302).
Factorization parameters were as follows:
#
# N = 737x10^156-8 = 818(156)
#
n: 1152524036397015575131637636134356441900021664324274938527776992747837111153871785807501876221558193231135320808959404719364807066475472155475911609607
m: 10000000000000000000000000000000
deg: 5
c5: 3685
c0: -4
skew: 0.26
# Murphy_E = 6.233e-10
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1932418 hash collisions in 15931537 relations (14948345 unique)
Msieve: matrix is 382921 x 383147 (127.8 MB)

Sieving start time : 2022/03/18 11:52:53
Sieving end time  : 2022/03/18 12:34:48

Total sieving time: 0hrs 41min 55secs.

Total relation processing time: 0hrs 3min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 38sec.

Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116231] 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)
[    0.154131] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798288)
[    0.152037] smpboot: Total of 16 processors activated (102386.30 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)

737×10161-89

c156

name 名前Bob Backstrom
date 日付March 17, 2022 18:58:50 UTC 2022 年 3 月 18 日 (金) 3 時 58 分 50 秒 (日本時間)
composite number 合成数
287701003067009803007648927389763203258752176807467303347034615403953600456649025481361643799082298601256278244860551440923733672909520790531465651810551989<156>
prime factors 素因数
1815202967570801706016107454876403315929<40>
158495225165936200283615697997717066526771157009284044722327426474396047942600645147751017491261363163810135880014141<117>
factorization results 素因数分解の結果
Number: n
N=287701003067009803007648927389763203258752176807467303347034615403953600456649025481361643799082298601256278244860551440923733672909520790531465651810551989  ( 156 digits)
SNFS difficulty: 163 digits.
Divisors found:

Fri Mar 18 05:13:01 2022  p40 factor: 1815202967570801706016107454876403315929
Fri Mar 18 05:13:01 2022  p117 factor: 158495225165936200283615697997717066526771157009284044722327426474396047942600645147751017491261363163810135880014141
Fri Mar 18 05:13:01 2022  elapsed time 00:07:57 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.315).
Factorization parameters were as follows:
#
# N = 737x10^161-8 = 818(161)
#
n: 287701003067009803007648927389763203258752176807467303347034615403953600456649025481361643799082298601256278244860551440923733672909520790531465651810551989
m: 100000000000000000000000000000000
deg: 5
c5: 3685
c0: -4
skew: 0.26
# Murphy_E = 3.988e-10
type: snfs
lss: 1
rlim: 3700000
alim: 3700000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3700000/3700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1894265 hash collisions in 15504619 relations (14519410 unique)
Msieve: matrix is 492553 x 492778 (168.0 MB)

Sieving start time : 2022/03/18 04:12:30
Sieving end time  : 2022/03/18 05:04:33

Total sieving time: 0hrs 52min 3secs.

Total relation processing time: 0hrs 3min 51sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 30sec.

Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,3700000,3700000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116231] 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)
[    0.154131] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798288)
[    0.152037] smpboot: Total of 16 processors activated (102386.30 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)

737×10162-89

c135

name 名前Ignacio Santos
date 日付March 27, 2022 10:38:21 UTC 2022 年 3 月 27 日 (日) 19 時 38 分 21 秒 (日本時間)
composite number 合成数
875751124278123493317202067235528828890004911727130156506051040519917457959535378335270277316067144804112331751943556357790999885309349<135>
prime factors 素因数
981492424127215131795038367763804062419727100801601<51>
892264782437703168071848940861265656505553195989274015228426664851590160060280590949<84>
factorization results 素因数分解の結果
N=875751124278123493317202067235528828890004911727130156506051040519917457959535378335270277316067144804112331751943556357790999885309349
  ( 135 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=981492424127215131795038367763804062419727100801601 (pp51)
 r2=892264782437703168071848940861265656505553195989274015228426664851590160060280590949 (pp84)
Version: Msieve v. 1.52 (SVN 927)
Total time: 24.74 hours.
Scaled time: 194.78 units (timescale=7.874).
Factorization parameters were as follows:
n: 875751124278123493317202067235528828890004911727130156506051040519917457959535378335270277316067144804112331751943556357790999885309349
m: 100000000000000000000000000000000
deg: 5
c5: 18425
c0: -2
skew: 0.16
# Murphy_E = 3.278e-10
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1900000, 3900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 711148 x 711373
Total sieving time: 24.57 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,164.000,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 24.74 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)
403e62350Ignacio SantosMarch 20, 2022 18:44:03 UTC 2022 年 3 月 21 日 (月) 3 時 44 分 3 秒 (日本時間)

737×10163-89

c128

name 名前Ignacio Santos
date 日付March 27, 2022 16:30:14 UTC 2022 年 3 月 28 日 (月) 1 時 30 分 14 秒 (日本時間)
composite number 合成数
30571103683135360537648911403894572663724553374930237730524025839232653036588658935701730489491730912636613850063439910820789499<128>
prime factors 素因数
12403904936207184007729870700999064859175909<44>
2464635438626899799861633068071587518812242670824163288581253358631679860212899100511<85>
factorization results 素因数分解の結果
N=30571103683135360537648911403894572663724553374930237730524025839232653036588658935701730489491730912636613850063439910820789499
  ( 128 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=12403904936207184007729870700999064859175909 (pp44)
 r2=2464635438626899799861633068071587518812242670824163288581253358631679860212899100511 (pp85)
Version: Msieve v. 1.52 (SVN 927)
Total time: 25.58 hours.
Scaled time: 201.69 units (timescale=7.886).
Factorization parameters were as follows:
n: 30571103683135360537648911403894572663724553374930237730524025839232653036588658935701730489491730912636613850063439910820789499
m: 100000000000000000000000000000000
deg: 5
c5: 92125
c0: -1
skew: 0.10
# Murphy_E = 3.041e-10
type: snfs
lss: 1
rlim: 3900000
alim: 3900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3900000/3900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1950000, 4050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 737865 x 738091
Total sieving time: 25.39 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,164.000,5,0,0,0,0,0,0,0,0,3900000,3900000,27,27,51,51,2.4,2.4,100000
total time: 25.58 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)
403e62350Ignacio SantosMarch 20, 2022 19:02:09 UTC 2022 年 3 月 21 日 (月) 4 時 2 分 9 秒 (日本時間)

737×10164-89

c136

name 名前Ignacio Santos
date 日付April 4, 2022 15:05:04 UTC 2022 年 4 月 5 日 (火) 0 時 5 分 4 秒 (日本時間)
composite number 合成数
6562542171171073364344494548355455313903575687821325953980672092181832367847695080347710132144715851806121923675381937304388795875173039<136>
prime factors 素因数
2170574725202187239163217894189418051297177<43>
3023412230398922567675171629168481144566741045192158055857215183550683028967658937510720086407<94>
factorization results 素因数分解の結果
N=6562542171171073364344494548355455313903575687821325953980672092181832367847695080347710132144715851806121923675381937304388795875173039
  ( 136 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=2170574725202187239163217894189418051297177 (pp43)
 r2=3023412230398922567675171629168481144566741045192158055857215183550683028967658937510720086407 (pp94)
Version: Msieve v. 1.52 (SVN 927)
Total time: 29.21 hours.
Scaled time: 231.07 units (timescale=7.911).
Factorization parameters were as follows:
n: 6562542171171073364344494548355455313903575687821325953980672092181832367847695080347710132144715851806121923675381937304388795875173039
m: 500000000000000000000000000000000
deg: 5
c5: 1474
c0: -5
skew: 0.32
# Murphy_E = 2.65e-10
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2100000, 4500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 859239 x 859463
Total sieving time: 29.00 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,166.000,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 29.21 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)
403e62350Ignacio SantosMarch 20, 2022 16:58:26 UTC 2022 年 3 月 21 日 (月) 1 時 58 分 26 秒 (日本時間)

737×10165-89

c121

name 名前anonymous
date 日付April 1, 2022 23:12:16 UTC 2022 年 4 月 2 日 (土) 8 時 12 分 16 秒 (日本時間)
composite number 合成数
3681551790190172705063997794679025009980661661695234480665435985583337547281085221637568578526520344561951230934434671719<121>
prime factors 素因数
2445603122992943983932782994919054582909894289<46>
1505375813261420447159598365963337677742286949561406850275067575703990314871<76>
factorization results 素因数分解の結果
Number: 81888_165
N=3681551790190172705063997794679025009980661661695234480665435985583337547281085221637568578526520344561951230934434671719 (121 digits)
SNFS difficulty: 167 digits.
Divisors found:

Fri Apr 01 23:29:21 2022  p46 factor: 2445603122992943983932782994919054582909894289
Fri Apr 01 23:29:21 2022  p76 factor: 1505375813261420447159598365963337677742286949561406850275067575703990314871

Version: Msieve v. 1.53 (SVN 1005)
Total time: 12.01 hours.
Scaled time: 101.93 units (timescale=8.489).
Factorization parameters were as follows:
n: 3681551790190172705063997794679025009980661661695234480665435985583337547281085221637568578526520344561951230934434671719
m: 1000000000000000000000000000000000
deg: 5
c5: 737
c0: -8
skew: 0.40
# Murphy_E = 2.796e-10
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2200000, 4300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 857054 x 857296
Total sieving time: 11.88 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,167.000,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,51,51,2.4,2.4,100000
total time: 12.01 hours.
software ソフトウェア
Using factMsieve.pl
execution environment 実行環境
Ryzen 9 5900X 12C/24T 3.70-4.80GHz, Windows 10, 18 threads used

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 20, 2022 17:11:30 UTC 2022 年 3 月 21 日 (月) 2 時 11 分 30 秒 (日本時間)

737×10170-89

c131

name 名前Ignacio Santos
date 日付April 11, 2022 17:15:16 UTC 2022 年 4 月 12 日 (火) 2 時 15 分 16 秒 (日本時間)
composite number 合成数
34478330762763521962082663538326200604836194855006522531644857611630153575305948615344790058709943196365520505069057526413799625683<131>
prime factors 素因数
943716466443691295932351493488470939552077317815117707573<57>
36534628766934564833664879163099900576491857154470676589414856956857156071<74>
factorization results 素因数分解の結果
N=34478330762763521962082663538326200604836194855006522531644857611630153575305948615344790058709943196365520505069057526413799625683
  ( 131 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=943716466443691295932351493488470939552077317815117707573 (pp57)
 r2=36534628766934564833664879163099900576491857154470676589414856956857156071 (pp74)
Version: Msieve v. 1.52 (SVN 927)
Total time: 42.39 hours.
Scaled time: 331.43 units (timescale=7.819).
Factorization parameters were as follows:
n: 34478330762763521962082663538326200604836194855006522531644857611630153575305948615344790058709943196365520505069057526413799625683
m: 10000000000000000000000000000000000
deg: 5
c5: 737
c0: -8
skew: 0.40
# Murphy_E = 1.773e-10
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2650000, 5850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 879141 x 879368
Total sieving time: 42.11 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.15 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,172.000,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,52,52,2.4,2.4,100000
total time: 42.39 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)
403e62350Ignacio SantosMarch 19, 2022 19:19:23 UTC 2022 年 3 月 20 日 (日) 4 時 19 分 23 秒 (日本時間)

737×10172-89

c119

name 名前Eric Jeancolas
date 日付March 19, 2022 05:21:50 UTC 2022 年 3 月 19 日 (土) 14 時 21 分 50 秒 (日本時間)
composite number 合成数
52638293631629443891915209874274874276485504667480152873376755522118547989329249813705861095191132077928718411025516237<119>
prime factors 素因数
4386296949455047856578959353916963310191196150217780159467<58>
12000622447180464792036676472392222827729845688739417893366311<62>
factorization results 素因数分解の結果
52638293631629443891915209874274874276485504667480152873376755522118547989329249813705861095191132077928718411025516237=4386296949455047856578959353916963310191196150217780159467*12000622447180464792036676472392222827729845688739417893366311

cado polynomial
n: 52638293631629443891915209874274874276485504667480152873376755522118547989329249813705861095191132077928718411025516237
skew: 16339.556
c0: -237351869706458453946136450
c1: -94016262157606841201427
c2: 21132217136625091848
c3: 768565374692849
c4: -21640751700
c5: -756000
Y0: -93010790533140992778841
Y1: 848273764172311
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.569e-06
# f(x) = -756000*x^5-21640751700*x^4+768565374692849*x^3+21132217136625091848*x^2-94016262157606841201427*x-237351869706458453946136450
# g(x) = 848273764172311*x-93010790533140992778841

cado parameters (extracts)
tasks.lim0 = 3000000
tasks.lim1 = 5500000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 4386296949455047856578959353916963310191196150217780159467 12000622447180464792036676472392222827729845688739417893366311
Info:Square Root: Total cpu/real time for sqrt: 167.8/50.4453
Info:Filtering - Singleton removal: Total cpu/real time for purge: 54.47/59.0091
Info:Linear Algebra: Total cpu/real time for bwc: 3421.43/889.26
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 2067.02, WCT time 534.56, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (18944 iterations)
Info:Linear Algebra: Lingen CPU time 101.47, WCT time 25.79
Info:Linear Algebra: Mksol: CPU time 1193.13,  WCT time 307.83, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9472 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13451770
Info:Lattice Sieving: Average J: 1892.18 for 224179 special-q, max bucket fill -bkmult 1.0,1s:1.293620
Info:Lattice Sieving: Total time: 49719.3s
Info:Generate Factor Base: Total cpu/real time for makefb: 5.17/4.14794
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1117.74
Info:Polynomial Selection (root optimized): Rootsieve time: 1115.24
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 54.85/61.4235
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 61.3s
Info:Filtering - Merging: Merged matrix has 601921 rows and total weight 61303064 (101.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 45.62/15.1371
Info:Filtering - Merging: Total cpu/real time for replay: 14.42/11.3685
Info:Generate Free Relations: Total cpu/real time for freerel: 128.33/87.0114
Info:Quadratic Characters: Total cpu/real time for characters: 18.37/7.04992
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19893.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20104/35.470/42.386/47.760/1.034
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15924/34.030/37.512/42.850/0.823
Info:Polynomial Selection (size optimized): Total time: 2296.71
Info:Square Root: Total cpu/real time for sqrt: 167.8/50.4453
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 130.84/112.844
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 101.0s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 59092.4/28119
Info:root: Cleaning up computation data in /tmp/cado.73ekcasb
4386296949455047856578959353916963310191196150217780159467 12000622447180464792036676472392222827729845688739417893366311
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 18, 2022 22:25:40 UTC 2022 年 3 月 19 日 (土) 7 時 25 分 40 秒 (日本時間)

737×10177-89

c149

name 名前Bob Backstrom
date 日付April 19, 2022 13:36:38 UTC 2022 年 4 月 19 日 (火) 22 時 36 分 38 秒 (日本時間)
composite number 合成数
65110949979086318817879572377461010336660667681671137294949918438975280976981836884843016532066848314391115198107160263396516501977824522938873536199<149>
prime factors 素因数
6798538155361730119942161546845873739031<40>
9577198581688618562473221705959243231678419196725456022068318551590934399360221636365644587462157912747045329<109>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 65110949979086318817879572377461010336660667681671137294949918438975280976981836884843016532066848314391115198107160263396516501977824522938873536199 (149 digits)
Using B1=15590000, B2=46847878360, polynomial Dickson(12), sigma=1:2724200277
Step 1 took 30614ms
Step 2 took 13052ms
********** Factor found in step 2: 6798538155361730119942161546845873739031
Found prime factor of 40 digits: 6798538155361730119942161546845873739031
Prime cofactor 9577198581688618562473221705959243231678419196725456022068318551590934399360221636365644587462157912747045329 has 109 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)
403e62350Ignacio SantosMarch 21, 2022 17:18:47 UTC 2022 年 3 月 22 日 (火) 2 時 18 分 47 秒 (日本時間)

737×10181-89

c173

name 名前Ignacio Santos
date 日付March 23, 2022 15:27:03 UTC 2022 年 3 月 24 日 (木) 0 時 27 分 3 秒 (日本時間)
composite number 合成数
43356913043084868309679797289262421328853633730742205290749271137100469842538093250963956059617600215004204471989371561684697178887448854381091442175620177073560757198847347<173>
prime factors 素因数
2482699112973196480447913509776576894593<40>
17463619661571512705788335851991155429637032551327607578730257309165610957345094600221751802931253886650179834943712791129548899246579<134>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3534636874
Step 1 took 7110ms
Step 2 took 4031ms
********** Factor found in step 2: 2482699112973196480447913509776576894593
Found prime factor of 40 digits: 2482699112973196480447913509776576894593
Prime cofactor 17463619661571512705788335851991155429637032551327607578730257309165610957345094600221751802931253886650179834943712791129548899246579 has 134 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)

737×10186-89

c146

name 名前Ignacio Santos
date 日付March 27, 2022 15:06:19 UTC 2022 年 3 月 28 日 (月) 0 時 6 分 19 秒 (日本時間)
composite number 合成数
97318479091280813881778640362809689275180041172276922102117523842356503750545505390980854840670389621308566978564951194051021200068955759693375741<146>
prime factors 素因数
793854862200356897184410249745826442985548903<45>
122589762594058546462438357681826862478279044584663042104679628719964281743407080591048577201016529147<102>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3253190989
Step 1 took 5906ms
Step 2 took 3313ms
********** Factor found in step 2: 793854862200356897184410249745826442985548903
Found prime factor of 45 digits: 793854862200356897184410249745826442985548903
Prime cofactor 122589762594058546462438357681826862478279044584663042104679628719964281743407080591048577201016529147 has 102 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)

737×10187-89

c142

name 名前Bob Backstrom
date 日付June 13, 2022 13:58:47 UTC 2022 年 6 月 13 日 (月) 22 時 58 分 47 秒 (日本時間)
composite number 合成数
3001912785148452236988772740584956303129172182341115122299617991482124402962995211900247668056347767401084728741191700759691959686579182737753<142>
prime factors 素因数
2169841213801838577302803842702631193691116071381<49>
1383471180312184287942096565622211345606496542335945258782469537022324617764102656506455805813<94>
factorization results 素因数分解の結果
Number: n
N=3001912785148452236988772740584956303129172182341115122299617991482124402962995211900247668056347767401084728741191700759691959686579182737753  ( 142 digits)
SNFS difficulty: 189 digits.
Divisors found:

Mon Jun 13 23:56:24 2022  p49 factor: 2169841213801838577302803842702631193691116071381
Mon Jun 13 23:56:24 2022  p94 factor: 1383471180312184287942096565622211345606496542335945258782469537022324617764102656506455805813
Mon Jun 13 23:56:24 2022  elapsed time 00:37:08 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.344).
Factorization parameters were as follows:
#
# N = 737x10^187-8 = 818(187)
#
n: 3001912785148452236988772740584956303129172182341115122299617991482124402962995211900247668056347767401084728741191700759691959686579182737753
m: 10000000000000000000000000000000000000
deg: 5
c5: 18425
c0: -2
skew: 0.16
# Murphy_E = 3.267e-11
type: snfs
lss: 1
rlim: 10000000
alim: 10000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3550423 hash collisions in 29225370 relations (27336018 unique)
Msieve: matrix is 1230920 x 1231146 (427.6 MB)

Sieving start time : 2022/06/13 18:14:17
Sieving end time  : 2022/06/13 23:18:21

Total sieving time: 5hrs 4min 4secs.

Total relation processing time: 0hrs 26min 10sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 31sec.

Prototype def-par.txt line would be:
snfs,189,5,0,0,0,0,0,0,0,0,10000000,10000000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117895] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154151] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798644)
[    0.152036] smpboot: Total of 16 processors activated (102389.15 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 27, 2022 15:33:11 UTC 2022 年 3 月 28 日 (月) 0 時 33 分 11 秒 (日本時間)

737×10188-89

c182

name 名前Bob Backstrom
date 日付March 29, 2022 14:24:00 UTC 2022 年 3 月 29 日 (火) 23 時 24 分 0 秒 (日本時間)
composite number 合成数
35467328472963787755606395203796193384899152265593461688757720794668507294929745103037988717697478514142655458536579412572723471147648792546034561528515464523271963132088381402526043<182>
prime factors 素因数
748845266050716508371103453423809549849111085915939<51>
63369056499797420219022372173859791015938070078076076429<56>
747410418577907515163864160799588394619252409160068990337591173613494559053<75>
factorization results 素因数分解の結果
Number: n
N=35467328472963787755606395203796193384899152265593461688757720794668507294929745103037988717697478514142655458536579412572723471147648792546034561528515464523271963132088381402526043  ( 182 digits)
SNFS difficulty: 189 digits.
Divisors found:

Wed Mar 30 01:10:11 2022  found factor: 747410418577907515163864160799588394619252409160068990337591173613494559053
Wed Mar 30 01:12:01 2022  found factor: 747410418577907515163864160799588394619252409160068990337591173613494559053
Wed Mar 30 01:13:51 2022  found factor: 747410418577907515163864160799588394619252409160068990337591173613494559053
Wed Mar 30 01:15:42 2022  found factor: 747410418577907515163864160799588394619252409160068990337591173613494559053
Wed Mar 30 01:19:23 2022  p51 factor: 748845266050716508371103453423809549849111085915939
Wed Mar 30 01:19:23 2022  p56 factor: 63369056499797420219022372173859791015938070078076076429
Wed Mar 30 01:19:23 2022  p75 factor: 747410418577907515163864160799588394619252409160068990337591173613494559053
Wed Mar 30 01:19:23 2022  elapsed time 00:45:19 (Msieve 1.54 - dependency 6)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.326).
Factorization parameters were as follows:
#
# N = 737x10^188-8 = 818(188)
#
n: 35467328472963787755606395203796193384899152265593461688757720794668507294929745103037988717697478514142655458536579412572723471147648792546034561528515464523271963132088381402526043
m: 10000000000000000000000000000000000000
deg: 5
c5: 92125
c0: -1
skew: 0.10
# Murphy_E = 3.024e-11
type: snfs
lss: 1
rlim: 10300000
alim: 10300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10300000/10300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3879406 hash collisions in 30550324 relations (28376834 unique)
Msieve: matrix is 1231207 x 1231432 (426.7 MB)
Sieving start time : 2022/03/29 19:15:49
Sieving end time  : 2022/03/30 00:33:33

Total sieving time: 5hrs 17min 44secs.

Total relation processing time: 0hrs 26min 21sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 11min 3sec.

Prototype def-par.txt line would be:
snfs,189,5,0,0,0,0,0,0,0,0,10300000,10300000,28,28,54,54,2.5,2.5,100000
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)

737×10189-89

c161

name 名前Bob Backstrom
date 日付April 1, 2022 19:10:17 UTC 2022 年 4 月 2 日 (土) 4 時 10 分 17 秒 (日本時間)
composite number 合成数
32281277534448436921904487839026825288355743189216909427473819346421140862851373515888665873255674877512730226633575132756811309237514238028761144997828655719467<161>
prime factors 素因数
132593617798139818435851963790911544590529765948403<51>
243460266568737648708897511406724174765216491134826037469000928181332800927321478226450021829639327016463277289<111>
factorization results 素因数分解の結果
Number: n
N=32281277534448436921904487839026825288355743189216909427473819346421140862851373515888665873255674877512730226633575132756811309237514238028761144997828655719467  ( 161 digits)
SNFS difficulty: 191 digits.
Divisors found:

Sat Apr  2 06:06:02 2022  p51 factor: 132593617798139818435851963790911544590529765948403
Sat Apr  2 06:06:02 2022  p111 factor: 243460266568737648708897511406724174765216491134826037469000928181332800927321478226450021829639327016463277289
Sat Apr  2 06:06:02 2022  elapsed time 00:44:29 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.326).
Factorization parameters were as follows:
#
# N = 737x10^189-8 = 818(189)
#
n: 32281277534448436921904487839026825288355743189216909427473819346421140862851373515888665873255674877512730226633575132756811309237514238028761144997828655719467
m: 50000000000000000000000000000000000000
deg: 5
c5: 1474
c0: -5
skew: 0.32
# Murphy_E = 2.609e-11
type: snfs
lss: 1
rlim: 11000000
alim: 11000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 11000000/11000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 18300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4029514 hash collisions in 30267798 relations (27867010 unique)
Msieve: matrix is 1388489 x 1388715 (481.1 MB)

Sieving start time : 2022/04/01 23:09:31
Sieving end time  : 2022/04/02 05:20:52

Total sieving time: 6hrs 11min 21secs.
Total relation processing time: 0hrs 34min 51sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 54sec.

Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,11000000,11000000,28,28,54,54,2.5,2.5,100000
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 29, 2022 16:47:57 UTC 2022 年 3 月 30 日 (水) 1 時 47 分 57 秒 (日本時間)

737×10191-89

c141

name 名前Eric Jeancolas
date 日付January 24, 2023 05:52:42 UTC 2023 年 1 月 24 日 (火) 14 時 52 分 42 秒 (日本時間)
composite number 合成数
227320988252659346622791412055484789844232848029351657142758348843744550708842925416116999281380385455568785546679864130449710478299923868867<141>
prime factors 素因数
397423465184797480370652153944434960415724758840728764287<57>
571986830588771655757143939627616769600140399075089962600990780438482479852284081341<84>
factorization results 素因数分解の結果
227320988252659346622791412055484789844232848029351657142758348843744550708842925416116999281380385455568785546679864130449710478299923868867=397423465184797480370652153944434960415724758840728764287*571986830588771655757143939627616769600140399075089962600990780438482479852284081341

cado polynomial
n: 227320988252659346622791412055484789844232848029351657142758348843744550708842925416116999281380385455568785546679864130449710478299923868867
skew: 0.26
type: snfs
c0: -4
c5: 3685
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 3685*x^5-4
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 11800000
tasks.lim1 = 11800000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 397423465184797480370652153944434960415724758840728764287 571986830588771655757143939627616769600140399075089962600990780438482479852284081341
Info:Square Root: Total cpu/real time for sqrt: 715.87/228.409
Info:Square Root: Total cpu/real time for sqrt: 715.87/228.409
Info:Generate Free Relations: Total cpu/real time for freerel: 121.07/32.1389
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 123.53/121.941
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 120.99999999999999s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 420.38/409.398
Info:Filtering - Merging: Merged matrix has 2393992 rows and total weight 409925392 (171.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 665.65/187.689
Info:Filtering - Merging: Total cpu/real time for replay: 91.71/84.9844
Info:Generate Factor Base: Total cpu/real time for makefb: 5/2.4502
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 28389153
Info:Lattice Sieving: Average J: 1893.94 for 2903837 special-q, max bucket fill -bkmult 1.0,1s:1.141980
Info:Lattice Sieving: Total time: 612724s
Info:Linear Algebra: Total cpu/real time for bwc: 100086/26394.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 64201.53, WCT time 16846.79, iteration CPU time 0.21, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (75264 iterations)
Info:Linear Algebra: Lingen CPU time 530.97, WCT time 137.42
Info:Linear Algebra: Mksol: CPU time 34516.98,  WCT time 9116.57, iteration CPU time 0.23, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (37888 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 83.41/37.4144
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 532.07/559.105
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 455.50000000000017s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.23455e+06/334526
Info:root: Cleaning up computation data in /tmp/cado.bgwpmi52
397423465184797480370652153944434960415724758840728764287 571986830588771655757143939627616769600140399075089962600990780438482479852284081341
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
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 SantosApril 1, 2022 18:20:05 UTC 2022 年 4 月 2 日 (土) 3 時 20 分 5 秒 (日本時間)
4511e61000 / 3915Dmitry DomanovSeptember 13, 2022 07:38:26 UTC 2022 年 9 月 13 日 (火) 16 時 38 分 26 秒 (日本時間)

737×10193-89

c158

name 名前Bob Backstrom
date 日付April 25, 2022 20:47:06 UTC 2022 年 4 月 26 日 (火) 5 時 47 分 6 秒 (日本時間)
composite number 合成数
14929464468755819160711446712651722761362100202123069381430326829949833141060688004300598791929793608006961351158630321616754873855315108355782726278053271599<158>
prime factors 素因数
8561964523907484325473112374341640912459561112077745849467119<61>
1743696137383941627860855008002577406619706913213481028311929999812908001118754292387793702345921<97>
factorization results 素因数分解の結果
Number: n
N=14929464468755819160711446712651722761362100202123069381430326829949833141060688004300598791929793608006961351158630321616754873855315108355782726278053271599  ( 158 digits)
SNFS difficulty: 194 digits.
Divisors found:

Tue Apr 26 06:42:15 2022  p61 factor: 8561964523907484325473112374341640912459561112077745849467119
Tue Apr 26 06:42:15 2022  p97 factor: 1743696137383941627860855008002577406619706913213481028311929999812908001118754292387793702345921
Tue Apr 26 06:42:15 2022  elapsed time 01:05:09 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.338).
Factorization parameters were as follows:
#
# N = 737x10^193-8 = 818(193)
#
n: 14929464468755819160711446712651722761362100202123069381430326829949833141060688004300598791929793608006961351158630321616754873855315108355782726278053271599
m: 100000000000000000000000000000000000000
deg: 5
c5: 92125
c0: -1
skew: 0.10
# Murphy_E = 1.881e-11
type: snfs
lss: 1
rlim: 12400000
alim: 12400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12400000/12400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 26200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3934065 hash collisions in 29977756 relations (27664856 unique)
Msieve: matrix is 1613691 x 1613916 (560.3 MB)

Sieving start time : 2022/04/25 22:39:06
Sieving end time  : 2022/04/26 05:36:04

Total sieving time: 6hrs 56min 58secs.

Total relation processing time: 0hrs 51min 32sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 59sec.

Prototype def-par.txt line would be:
snfs,194,5,0,0,0,0,0,0,0,0,12400000,12400000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] 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 SantosApril 3, 2022 14:48:24 UTC 2022 年 4 月 3 日 (日) 23 時 48 分 24 秒 (日本時間)

737×10197-89

c196

name 名前Bob Backstrom
date 日付April 12, 2022 09:12:02 UTC 2022 年 4 月 12 日 (火) 18 時 12 分 2 秒 (日本時間)
composite number 合成数
1058543031138687808801562679535792255544065264851200735378605078708491324830518212110766402389980466505802596805699184189359990807767436516143858439618522348615419970125244168677467539928760197633<196>
prime factors 素因数
8934434068553339075350505939667197192766560743057<49>
588394177288942587419407765299644286346367449701817<51>
201359953710900471826939488286612388119898913152038840976414549369915208013788065508922857588857<96>
factorization results 素因数分解の結果
Number: n
N=1058543031138687808801562679535792255544065264851200735378605078708491324830518212110766402389980466505802596805699184189359990807767436516143858439618522348615419970125244168677467539928760197633  ( 196 digits)
SNFS difficulty: 199 digits.
Divisors found:

Tue Apr 12 18:28:48 2022  found factor: 588394177288942587419407765299644286346367449701817
Tue Apr 12 18:31:48 2022  found factor: 588394177288942587419407765299644286346367449701817
Tue Apr 12 18:34:48 2022  found factor: 588394177288942587419407765299644286346367449701817
Tue Apr 12 18:37:48 2022  found factor: 588394177288942587419407765299644286346367449701817
Tue Apr 12 18:40:48 2022  p49 factor: 8934434068553339075350505939667197192766560743057
Tue Apr 12 18:40:48 2022  p51 factor: 588394177288942587419407765299644286346367449701817
Tue Apr 12 18:40:48 2022  p96 factor: 201359953710900471826939488286612388119898913152038840976414549369915208013788065508922857588857
Tue Apr 12 18:40:48 2022  elapsed time 01:38:15 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 737x10^197-8 = 818(197)
#
n: 1058543031138687808801562679535792255544065264851200735378605078708491324830518212110766402389980466505802596805699184189359990807767436516143858439618522348615419970125244168677467539928760197633
m: 1000000000000000000000000000000000000000
deg: 5
c5: 18425
c0: -2
skew: 0.16
# Murphy_E = 1.26e-11
type: snfs
lss: 1
rlim: 14700000
alim: 14700000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14700000/14700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4470676 hash collisions in 30930257 relations (28014457 unique)
Msieve: matrix is 1926525 x 1926750 (673.2 MB)

Sieving start time : 2022/04/12 06:49:29
Sieving end time  : 2022/04/12 16:55:05

Total sieving time: 10hrs 5min 36secs.

Total relation processing time: 1hrs 14min 7sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 15min 2sec.

Prototype def-par.txt line would be:
snfs,199,5,0,0,0,0,0,0,0,0,14700000,14700000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119248] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197512K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529724K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.24 BogoMIPS (lpj=12798484)
[    0.152048] smpboot: Total of 16 processors activated (102387.87 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)

737×10198-89

c157

name 名前Bob Backstrom
date 日付October 1, 2022 12:02:56 UTC 2022 年 10 月 1 日 (土) 21 時 2 分 56 秒 (日本時間)
composite number 合成数
8095711665609250798535020820292067037288162878171788524365976793172378402591171421574922341844245080225038845886310231347600796427892386555616377271680513289<157>
prime factors 素因数
9767587196474349801841873415044725879275797593346600729<55>
828834337770890926444682473587084268509320665978128188456426075330890086903565896026468512506979574641<102>
factorization results 素因数分解の結果
Number: n
N=8095711665609250798535020820292067037288162878171788524365976793172378402591171421574922341844245080225038845886310231347600796427892386555616377271680513289  ( 157 digits)
SNFS difficulty: 199 digits.
Divisors found:

Sat Oct  1 21:57:58 2022  p55 factor: 9767587196474349801841873415044725879275797593346600729
Sat Oct  1 21:57:58 2022  p102 factor: 828834337770890926444682473587084268509320665978128188456426075330890086903565896026468512506979574641
Sat Oct  1 21:57:58 2022  elapsed time 01:44:34 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.313).
Factorization parameters were as follows:
#
# N = 737x10^198-8 = 818(198)
#
n: 8095711665609250798535020820292067037288162878171788524365976793172378402591171421574922341844245080225038845886310231347600796427892386555616377271680513289
m: 1000000000000000000000000000000000000000
deg: 5
c5: 92125
c0: -1
skew: 0.10
# Murphy_E = 1.165e-11
type: snfs
lss: 1
rlim: 15100000
alim: 15100000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 15100000/15100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3708162 hash collisions in 27411553 relations (25113207 unique)
Msieve: matrix is 2148681 x 2148906 (750.2 MB)

Sieving start time : 2022/10/01 11:14:10
Sieving end time  : 2022/10/01 20:12:53

Total sieving time: 8hrs 58min 43secs.

Total relation processing time: 1hrs 29min 37sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 51sec.

Prototype def-par.txt line would be:
snfs,199,5,0,0,0,0,0,0,0,0,15100000,15100000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
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 SantosApril 12, 2022 19:01:26 UTC 2022 年 4 月 13 日 (水) 4 時 1 分 26 秒 (日本時間)
4511e62000 / 39151000Dmitry DomanovJuly 11, 2022 07:23:22 UTC 2022 年 7 月 11 日 (月) 16 時 23 分 22 秒 (日本時間)
1000Dmitry DomanovSeptember 13, 2022 07:40:38 UTC 2022 年 9 月 13 日 (火) 16 時 40 分 38 秒 (日本時間)

737×10199-89

c153

name 名前Eric Jeancolas
date 日付January 31, 2023 13:28:10 UTC 2023 年 1 月 31 日 (火) 22 時 28 分 10 秒 (日本時間)
composite number 合成数
374527295027478440604367236832873863701041118697037941766305321968093710445512518829822274602506541606134997783704997879761729056504482610541936266939011<153>
prime factors 素因数
139518326229007684505733024526747187960993647384963<51>
2684430821028652207773563587893993310071987890573168300802739208704863163241445403558712700845837335297<103>
factorization results 素因数分解の結果
374527295027478440604367236832873863701041118697037941766305321968093710445512518829822274602506541606134997783704997879761729056504482610541936266939011=139518326229007684505733024526747187960993647384963*2684430821028652207773563587893993310071987890573168300802739208704863163241445403558712700845837335297

cado polynomial
n: 374527295027478440604367236832873863701041118697037941766305321968093710445512518829822274602506541606134997783704997879761729056504482610541936266939011
skew: 0.32
type: snfs
c0: -5
c5: 1474
Y0: 5000000000000000000000000000000000000000
Y1: -1
# f(x) = 1474*x^5-5
# g(x) = -x+5000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 16100000
tasks.lim1 = 16100000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 2684430821028652207773563587893993310071987890573168300802739208704863163241445403558712700845837335297 139518326229007684505733024526747187960993647384963
Info:Square Root: Total cpu/real time for sqrt: 2424.09/759.383
Info:Generate Free Relations: Total cpu/real time for freerel: 240.35/61.7031
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 952.28/1020.14
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 857.00s
Info:Square Root: Total cpu/real time for sqrt: 2424.09/759.383
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 222.25/218.941
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 218.09999999999997s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 663.56/668.385
Info:Filtering - Merging: Merged matrix has 3945802 rows and total weight 674849537 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 1157.45/316.452
Info:Filtering - Merging: Total cpu/real time for replay: 159.43/147.673
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 50510733
Info:Lattice Sieving: Average J: 1894.12 for 5795913 special-q, max bucket fill -bkmult 1.0,1s:1.121210
Info:Lattice Sieving: Total time: 1.53985e+06s
Info:Linear Algebra: Total cpu/real time for bwc: 299699/77698.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 192877.21, WCT time 49229.91, iteration CPU time 0.38, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (123392 iterations)
Info:Linear Algebra: Lingen CPU time 879.84, WCT time 223.52
Info:Linear Algebra: Mksol: CPU time 104306.26,  WCT time 27566.29, iteration CPU time 0.42, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (61952 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 143.34/62.6086
Info:Generate Factor Base: Total cpu/real time for makefb: 6.76/3.04221
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3.18506e+06/529600
Info:root: Cleaning up computation data in /tmp/cado.wdgrfrvj
2684430821028652207773563587893993310071987890573168300802739208704863163241445403558712700845837335297 139518326229007684505733024526747187960993647384963
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
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 SantosApril 12, 2022 20:39:13 UTC 2022 年 4 月 13 日 (水) 5 時 39 分 13 秒 (日本時間)
4511e62000 / 39151000Dmitry DomanovJuly 11, 2022 07:23:34 UTC 2022 年 7 月 11 日 (月) 16 時 23 分 34 秒 (日本時間)
1000Dmitry DomanovSeptember 13, 2022 07:40:48 UTC 2022 年 9 月 13 日 (火) 16 時 40 分 48 秒 (日本時間)

737×10200-89

c186

name 名前Bob Backstrom
date 日付May 23, 2022 23:04:55 UTC 2022 年 5 月 24 日 (火) 8 時 4 分 55 秒 (日本時間)
composite number 合成数
151045654486703640200946929151439823778600770671412179964364198334478875236334585885449345648827595516457924549528569209613040189933480474792355337274573734592585841617736054310463814099<186>
prime factors 素因数
970321531084327635375917734132786583205987133958051434125641299<63>
155665570275361364469384280884272904074410946340141942989915047202682779055981668878525853790056414316519752911560613187201<123>
factorization results 素因数分解の結果
Number: n
N=151045654486703640200946929151439823778600770671412179964364198334478875236334585885449345648827595516457924549528569209613040189933480474792355337274573734592585841617736054310463814099  ( 186 digits)
SNFS difficulty: 202 digits.
Divisors found:

Tue May 24 09:00:46 2022  p63 factor: 970321531084327635375917734132786583205987133958051434125641299
Tue May 24 09:00:46 2022  p123 factor: 155665570275361364469384280884272904074410946340141942989915047202682779055981668878525853790056414316519752911560613187201
Tue May 24 09:00:46 2022  elapsed time 01:39:36 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.346).
Factorization parameters were as follows:
#
# N = 737x10^200-8 = 818(200)
#
n: 151045654486703640200946929151439823778600770671412179964364198334478875236334585885449345648827595516457924549528569209613040189933480474792355337274573734592585841617736054310463814099
m: 10000000000000000000000000000000000000000
deg: 5
c5: 737
c0: -8
skew: 0.40
# Murphy_E = 1.048e-11
type: snfs
lss: 1
rlim: 16800000
alim: 16800000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16800000/16800000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 6871404 hash collisions in 54580884 relations (49954596 unique)
Msieve: matrix is 2068095 x 2068322 (722.5 MB)

Sieving start time : 2022/05/23 19:44:11
Sieving end time  : 2022/05/24 07:20:18

Total sieving time: 11hrs 36min 7secs.

Total relation processing time: 1hrs 22min 15sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 2sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16800000,16800000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] 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)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] 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)
403e61000Dmitry DomanovApril 25, 2022 16:54:14 UTC 2022 年 4 月 26 日 (火) 1 時 54 分 14 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovApril 25, 2022 21:21:31 UTC 2022 年 4 月 26 日 (火) 6 時 21 分 31 秒 (日本時間)

737×10202-89

c136

name 名前Taiyo Kodama
date 日付March 19, 2022 02:50:13 UTC 2022 年 3 月 19 日 (土) 11 時 50 分 13 秒 (日本時間)
composite number 合成数
4509916893830528916851778983138905883963250412253467775140343369480483611359661746737074001545493206092534002294035651000853559769659809<136>
prime factors 素因数
104538664649742083582382890684109075634031<42>
43141137386258508367682409653125920416467143057927985354107796785842041619721790157195562694639<95>
factorization results 素因数分解の結果
GMP-ECM 7.0.5-dev [configured with GMP 6.2.1, --enable-asm-redc, --enable-assert] [ECM]
Input number is 4509916893830528916851778983138905883963250412253467775140343369480483611359661746737074001545493206092534002294035651000853559769659809 (136 digits)

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:62773073
Step 1 took 3532ms
Step 2 took 1843ms
********** Factor found in step 2: 104538664649742083582382890684109075634031
Found prime factor of 42 digits: 104538664649742083582382890684109075634031
Prime cofactor 43141137386258508367682409653125920416467143057927985354107796785842041619721790157195562694639 has 95 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)

737×10203-89

c156

composite cofactor 合成数の残り
334325977837115234978878567130211995215088684127196097096455974928584336966075545768641305599432196885109484023928594090282173493382848154480737841212997263<156>

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 25, 2022 05:41:21 UTC 2022 年 3 月 25 日 (金) 14 時 41 分 21 秒 (日本時間)
4511e656801200Dmitry DomanovApril 17, 2022 21:07:42 UTC 2022 年 4 月 18 日 (月) 6 時 7 分 42 秒 (日本時間)
4480Ignacio SantosOctober 21, 2023 06:23:01 UTC 2023 年 10 月 21 日 (土) 15 時 23 分 1 秒 (日本時間)

737×10204-89

c189

name 名前Bob Backstrom
date 日付March 18, 2024 16:29:20 UTC 2024 年 3 月 19 日 (火) 1 時 29 分 20 秒 (日本時間)
composite number 合成数
997004439352725716254266420584530292180424095414079948831582158843920801011702194552988647162391571646737502027175233199394890327123728672411137877733653468580954197805946740141225948380351<189>
prime factors 素因数
52657976159374270488894030739556029561315833931218493047980342126068060115563909<80>
18933588262777112799342641147646642366180198985207161263872273317500834782056522242886448841078388072964033139<110>
factorization results 素因数分解の結果
Number: n
N=997004439352725716254266420584530292180424095414079948831582158843920801011702194552988647162391571646737502027175233199394890327123728672411137877733653468580954197805946740141225948380351  ( 189 digits)
SNFS difficulty: 206 digits.
Divisors found:

Mon Mar 18 07:24:35 2024  prp80 factor: 52657976159374270488894030739556029561315833931218493047980342126068060115563909
Mon Mar 18 07:24:35 2024  prp110 factor: 18933588262777112799342641147646642366180198985207161263872273317500834782056522242886448841078388072964033139
Mon Mar 18 07:24:35 2024  elapsed time 04:29:10 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.105).
Factorization parameters were as follows:
#
# N = 737x10^204-8 = 818(204)
#
n: 997004439352725716254266420584530292180424095414079948831582158843920801011702194552988647162391571646737502027175233199394890327123728672411137877733653468580954197805946740141225948380351
m: 50000000000000000000000000000000000000000
deg: 5
c5: 1474
c0: -5
skew: 0.32
# Murphy_E = 6.166e-12
type: snfs
lss: 1
rlim: 19500000
alim: 19500000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19500000/19500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 78550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3499380 hash collisions in 18872103 relations (15694737 unique)
Msieve: matrix is 2859318 x 2859543 (805.4 MB)

Sieving start time: 2024/03/16 16:23:05
Sieving end time  : 2024/03/18 02:55:02

Total sieving time: 34hrs 31min 57secs.

Total relation processing time: 4hrs 20min 18sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 34sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19500000,19500000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric 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 25, 2022 05:41:32 UTC 2022 年 3 月 25 日 (金) 14 時 41 分 32 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovApril 17, 2022 21:07:53 UTC 2022 年 4 月 18 日 (月) 6 時 7 分 53 秒 (日本時間)

737×10206-89

c173

name 名前Bob Backstrom
date 日付September 27, 2024 05:57:13 UTC 2024 年 9 月 27 日 (金) 14 時 57 分 13 秒 (日本時間)
composite number 合成数
17792083793918991382104196945750987397076044917533089034829940178440704245216172021424965140810760989927819701620029024647531426255548163635383912218753027091272543262227107<173>
prime factors 素因数
10008390724719012807332020565135315956951077064213306857234428359015410539<74>
1777716746207318661610290628797079745196703488458932879791053357668276851817791389093344503840895913<100>
factorization results 素因数分解の結果
09/25/24 20:56:43 v1.34.5 @ RYZEN-9,
09/25/24 20:56:43 v1.34.5 @ RYZEN-9, ****************************
09/25/24 20:56:43 v1.34.5 @ RYZEN-9, Starting factorization of 73699999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999992
09/25/24 20:56:43 v1.34.5 @ RYZEN-9, using pretesting plan: normal
09/25/24 20:56:43 v1.34.5 @ RYZEN-9, no tune info: using qs/gnfs crossover of 125 digits
09/25/24 20:56:43 v1.34.5 @ RYZEN-9, ****************************
09/25/24 20:56:43 v1.34.5 @ RYZEN-9, div: found prime factor = 2
09/25/24 20:56:43 v1.34.5 @ RYZEN-9, div: found prime factor = 2
09/25/24 20:56:43 v1.34.5 @ RYZEN-9, div: found prime factor = 2
09/25/24 20:56:43 v1.34.5 @ RYZEN-9, div: found prime factor = 3
09/25/24 20:56:43 v1.34.5 @ RYZEN-9, div: found prime factor = 3
09/25/24 20:56:43 v1.34.5 @ RYZEN-9, div: found prime factor = 19
09/25/24 20:56:43 v1.34.5 @ RYZEN-9, div: found prime factor = 617
09/25/24 20:56:43 v1.34.5 @ RYZEN-9, div: found prime factor = 5303
09/25/24 20:56:43 v1.34.5 @ RYZEN-9, rho: x^2 + 3, starting 1000 iterations on C200
09/25/24 20:56:43 v1.34.5 @ RYZEN-9, rho: x^2 + 2, starting 1000 iterations on C200
09/25/24 20:56:43 v1.34.5 @ RYZEN-9, rho: x^2 + 1, starting 1000 iterations on C200
09/25/24 20:56:43 v1.34.5 @ RYZEN-9, pm1: starting B1 = 150K, B2 = gmp-ecm default on C200
09/25/24 20:56:43 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 0.00
09/25/24 20:56:43 v1.34.5 @ RYZEN-9, scheduled 30 curves at B1=2000 toward target pretesting depth of 61.54
09/25/24 20:56:43 v1.34.5 @ RYZEN-9, prp13 = 9129779564371 (curve 5 stg1 B1=2000 sigma=2808455675 thread=0)
09/25/24 20:56:43 v1.34.5 @ RYZEN-9, Finished 5 curves using Lenstra ECM method on C200 input, B1=2K, B2=gmp-ecm default
09/25/24 20:56:43 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 0.00
09/25/24 20:56:43 v1.34.5 @ RYZEN-9, scheduled 25 curves at B1=2000 toward target pretesting depth of 57.54
09/25/24 20:56:43 v1.34.5 @ RYZEN-9, prp15 = 101364875733227 (curve 2 stg2 B1=2000 sigma=717495001 thread=0)
09/25/24 20:56:43 v1.34.5 @ RYZEN-9, Finished 2 curves using Lenstra ECM method on C187 input, B1=2K, B2=gmp-ecm default
09/25/24 20:56:43 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 0.00
09/25/24 20:56:43 v1.34.5 @ RYZEN-9, scheduled 23 curves at B1=2000 toward target pretesting depth of 53.23
09/25/24 20:56:43 v1.34.5 @ RYZEN-9, Finished 23 curves using Lenstra ECM method on C173 input, B1=2K, B2=gmp-ecm default
09/25/24 20:56:43 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 15.18
09/25/24 20:56:43 v1.34.5 @ RYZEN-9, scheduled 74 curves at B1=11000 toward target pretesting depth of 53.23
09/25/24 20:56:45 v1.34.5 @ RYZEN-9, Finished 74 curves using Lenstra ECM method on C173 input, B1=11K, B2=gmp-ecm default
09/25/24 20:56:45 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 20.24
09/25/24 20:56:45 v1.34.5 @ RYZEN-9, scheduled 214 curves at B1=50000 toward target pretesting depth of 53.23
09/25/24 20:57:29 v1.34.5 @ RYZEN-9, nfs: commencing nfs on c209: 73699999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999992
09/25/24 20:57:29 v1.34.5 @ RYZEN-9, nfs: input divides 737*10^206 - 8
09/25/24 20:57:29 v1.34.5 @ RYZEN-9, nfs: using supplied cofactor: 17792083793918991382104196945750987397076044917533089034829940178440704245216172021424965140810760989927819701620029024647531426255548163635383912218753027091272543262227107
09/25/24 20:57:29 v1.34.5 @ RYZEN-9, nfs: commencing snfs on c173: 17792083793918991382104196945750987397076044917533089034829940178440704245216172021424965140810760989927819701620029024647531426255548163635383912218753027091272543262227107
09/25/24 20:57:30 v1.34.5 @ RYZEN-9, gen: best 3 polynomials:
n: 17792083793918991382104196945750987397076044917533089034829940178440704245216172021424965140810760989927819701620029024647531426255548163635383912218753027091272543262227107
# 737*10^206-8, difficulty: 209.87, anorm: 2.23e+025, rnorm: 1.98e+047
# scaled difficulty: 213.53, suggest sieving rational side
# size = 1.377e-014, alpha = 0.228, combined = 5.831e-012, rroots = 1
type: snfs
size: 209
skew: 0.2553
c5: 3685
c0: -4
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
n: 17792083793918991382104196945750987397076044917533089034829940178440704245216172021424965140810760989927819701620029024647531426255548163635383912218753027091272543262227107
# 737*10^206-8, difficulty: 210.07, anorm: -1.06e+027, rnorm: 2.80e+047
# scaled difficulty: 213.48, suggest sieving rational side
# size = 9.370e-015, alpha = -0.697, combined = 4.658e-012, rroots = 1
type: snfs
size: 210
skew: 0.5107
c5: 3685
c0: -128
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
n: 17792083793918991382104196945750987397076044917533089034829940178440704245216172021424965140810760989927819701620029024647531426255548163635383912218753027091272543262227107
# 737*10^206-8, difficulty: 210.87, anorm: -6.96e+032, rnorm: 2.14e+040
# scaled difficulty: 212.12, suggest sieving rational side
# size = 1.516e-010, alpha = 0.009, combined = 4.481e-012, rroots = 2
type: snfs
size: 210
skew: 0.2184
c6: 18425
c0: -2
Y1: -1
Y0: 10000000000000000000000000000000000
m: 10000000000000000000000000000000000
09/25/24 20:57:31 v1.34.5 @ RYZEN-9, test: fb generation took 1.7657 seconds
09/25/24 20:57:31 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 0 on the rational side over range 21400000-21402000
skew: 0.2553
c5: 3685
c0: -4
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
09/25/24 21:00:46 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
09/25/24 21:00:48 v1.34.5 @ RYZEN-9, test: fb generation took 1.7770 seconds
09/25/24 21:00:48 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 1 on the rational side over range 21400000-21402000
skew: 0.5107
c5: 3685
c0: -128
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
09/25/24 21:04:08 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
09/25/24 21:04:11 v1.34.5 @ RYZEN-9, test: fb generation took 2.6876 seconds
09/25/24 21:04:11 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 2 on the rational side over range 22600000-22602000
skew: 0.2184
c6: 18425
c0: -2
Y1: -1
Y0: 10000000000000000000000000000000000
m: 10000000000000000000000000000000000
rlim: 22600000
alim: 22600000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
09/25/24 21:07:22 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
09/25/24 21:07:22 v1.34.5 @ RYZEN-9, gen: selected polynomial:
n: 17792083793918991382104196945750987397076044917533089034829940178440704245216172021424965140810760989927819701620029024647531426255548163635383912218753027091272543262227107
# 737*10^206-8, difficulty: 209.87, anorm: 2.23e+025, rnorm: 1.98e+047
# scaled difficulty: 213.53, suggest sieving rational side
# size = 1.377e-014, alpha = 0.228, combined = 5.831e-012, rroots = 1
type: snfs
size: 209
skew: 0.2553
c5: 3685
c0: -4
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
09/27/24 02:03:44 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
09/27/24 02:05:51 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 22144798
09/27/24 03:49:32 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
09/27/24 03:51:44 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 23338984
09/27/24 05:35:34 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
09/27/24 05:37:53 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 24522083
09/27/24 07:34:43 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
09/27/24 07:37:08 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 25838584
09/27/24 09:33:33 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
09/27/24 09:36:06 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 27135351
09/27/24 11:44:57 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
09/27/24 11:49:30 v1.34.5 @ RYZEN-9, nfs: commencing msieve linear algebra
09/27/24 15:26:00 v1.34.5 @ RYZEN-9, nfs: commencing msieve sqrt
09/27/24 15:33:35 v1.34.5 @ RYZEN-9, prp74 = 10008390724719012807332020565135315956951077064213306857234428359015410539
09/27/24 15:33:35 v1.34.5 @ RYZEN-9, prp100 = 1777716746207318661610290628797079745196703488458932879791053357668276851817791389093344503840895913
09/27/24 15:33:35 v1.34.5 @ RYZEN-9, NFS elapsed time = 153365.8901 seconds.
09/27/24 15:33:35 v1.34.5 @ RYZEN-9,
09/27/24 15:33:35 v1.34.5 @ RYZEN-9,
09/25/24 21:07:22 v1.34.5 @ RYZEN-9, test: test sieving took 592.63 seconds
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)
403e61000Dmitry DomanovMarch 25, 2022 05:41:40 UTC 2022 年 3 月 25 日 (金) 14 時 41 分 40 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovApril 17, 2022 21:08:02 UTC 2022 年 4 月 18 日 (月) 6 時 8 分 2 秒 (日本時間)

737×10207-89

c119

name 名前Taiyo Kodama
date 日付March 17, 2022 14:19:01 UTC 2022 年 3 月 17 日 (木) 23 時 19 分 1 秒 (日本時間)
composite number 合成数
10700374094211156103437175853679231430134170802987157190930486613088890732165114060888938154971574931207243617216872579<119>
prime factors 素因数
15402830672008485570435466198551882575923<41>
694701793590246459240957701080035019543651957116307839205445198067179549007473<78>
factorization results 素因数分解の結果
GMP-ECM 7.0.5-dev [configured with GMP 6.2.1, --enable-asm-redc, --enable-assert] [ECM]
Input number is 10700374094211156103437175853679231430134170802987157190930486613088890732165114060888938154971574931207243617216872579 (119 digits)

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3192197246
Step 1 took 3094ms
Step 2 took 1750ms
********** Factor found in step 2: 15402830672008485570435466198551882575923
Found prime factor of 41 digits: 15402830672008485570435466198551882575923
Prime cofactor 694701793590246459240957701080035019543651957116307839205445198067179549007473 has 78 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)

737×10208-89

c135

name 名前Eric Jeancolas
date 日付April 4, 2022 20:06:41 UTC 2022 年 4 月 5 日 (火) 5 時 6 分 41 秒 (日本時間)
composite number 合成数
369604105460246290589796038539124525008839260723570301033181392685213113820107890880242414874302813951713240406447035377205910570084569<135>
prime factors 素因数
435866994058717428436068088489823187633337654816477<51>
847974520893535258931812482899810747899310488955778363286340938883419154710652541997<84>
factorization results 素因数分解の結果
369604105460246290589796038539124525008839260723570301033181392685213113820107890880242414874302813951713240406447035377205910570084569=435866994058717428436068088489823187633337654816477*847974520893535258931812482899810747899310488955778363286340938883419154710652541997

cado polynomial
n: 369604105460246290589796038539124525008839260723570301033181392685213113820107890880242414874302813951713240406447035377205910570084569
skew: 146332.465
c0: -3676504527549792782545574686870
c1: 183278523395215969708752593
c2: -976367096751822811518
c3: -19868448334856585
c4: -12201613460
c5: 165960
Y0: -86811983654322232368074484
Y1: 55254042021309133507
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.198e-07
# f(x) = 165960*x^5-12201613460*x^4-19868448334856585*x^3-976367096751822811518*x^2+183278523395215969708752593*x-3676504527549792782545574686870
# g(x) = 55254042021309133507*x-86811983654322232368074484

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: 435866994058717428436068088489823187633337654816477 847974520893535258931812482899810747899310488955778363286340938883419154710652541997
Info:Square Root: Total cpu/real time for sqrt: 496.94/149.376
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 191.48/160.214
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 148.6s
Info:Square Root: Total cpu/real time for sqrt: 496.94/149.376
Info:Generate Free Relations: Total cpu/real time for freerel: 248.18/62.8519
Info:Filtering - Singleton removal: Total cpu/real time for purge: 84.75/98.1242
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17017574
Info:Lattice Sieving: Average J: 3792.72 for 682917 special-q, max bucket fill -bkmult 1.0,1s:1.286160
Info:Lattice Sieving: Total time: 226222s
Info:Generate Factor Base: Total cpu/real time for makefb: 15.14/4.0212
Info:Linear Algebra: Total cpu/real time for bwc: 31185.5/8021.54
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 19862.09, WCT time 5084.68, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (44032 iterations)
Info:Linear Algebra: Lingen CPU time 275.24, WCT time 69.96
Info:Linear Algebra: Mksol: CPU time 10802.81,  WCT time 2776.71, iteration CPU time 0.12, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (22016 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 75.17/85.5089
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 85.4s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6590.11
Info:Polynomial Selection (root optimized): Rootsieve time: 6587.65
Info:Filtering - Merging: Merged matrix has 1404809 rows and total weight 239408809 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 366.5/102.287
Info:Filtering - Merging: Total cpu/real time for replay: 52.92/45.1736
Info:Quadratic Characters: Total cpu/real time for characters: 47.87/19.854
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): 54141/39.660/48.365/55.390/0.969
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 44270/38.590/43.210/49.170/1.084
Info:Polynomial Selection (size optimized): Total time: 11118.2
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 474059/127190
Info:root: Cleaning up computation data in /tmp/cado.fevxms4g
435866994058717428436068088489823187633337654816477 847974520893535258931812482899810747899310488955778363286340938883419154710652541997
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)
403e62078Taiyo KodamaMarch 19, 2022 05:22:55 UTC 2022 年 3 月 19 日 (土) 14 時 22 分 55 秒 (日本時間)
4511e64480Ignacio SantosMarch 29, 2022 15:24:16 UTC 2022 年 3 月 30 日 (水) 0 時 24 分 16 秒 (日本時間)

737×10209-89

c194

name 名前Dmitry Domanov
date 日付March 25, 2022 22:52:08 UTC 2022 年 3 月 26 日 (土) 7 時 52 分 8 秒 (日本時間)
composite number 合成数
86831736617645277463137570857781867240395513454368105264165845190539992950929657863475311428433952132147812952671942270554384116734167426699885204651002764953843651241690416496393748703790591271<194>
prime factors 素因数
175993881101345263360381848513070367437<39>
composite cofactor 合成数の残り
493379292929187822641799966851455244825868312147060455579626007825552952041747892619354289632781969079409418672570745189803509892823095745900882053037062083<156>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:675801740
Step 1 took 9706ms
Step 2 took 4678ms
********** Factor found in step 2: 175993881101345263360381848513070367437
Found prime factor of 39 digits: 175993881101345263360381848513070367437
Composite cofactor 493379292929187822641799966851455244825868312147060455579626007825552952041747892619354289632781969079409418672570745189803509892823095745900882053037062083 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)
403e61000Dmitry DomanovMarch 25, 2022 05:41:52 UTC 2022 年 3 月 25 日 (金) 14 時 41 分 52 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovApril 17, 2022 21:08:12 UTC 2022 年 4 月 18 日 (月) 6 時 8 分 12 秒 (日本時間)

737×10213-89

c176

composite cofactor 合成数の残り
16779794160567125254578743624915366647224410538340997204802225835135135124426849060071186941256611375567995574852252548089674377502380489371712523081505108133085558124244974823<176>

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 25, 2022 05:42:01 UTC 2022 年 3 月 25 日 (金) 14 時 42 分 1 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovApril 17, 2022 21:08:22 UTC 2022 年 4 月 18 日 (月) 6 時 8 分 22 秒 (日本時間)

737×10216-89

c172

composite cofactor 合成数の残り
5122417995875849723736969566702626016554431044212701159251423226352504475607881359270017772045772893507971005294161701784477274395273874919485671119977094220163518121373937<172>

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 25, 2022 05:42:08 UTC 2022 年 3 月 25 日 (金) 14 時 42 分 8 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovApril 17, 2022 21:08:33 UTC 2022 年 4 月 18 日 (月) 6 時 8 分 33 秒 (日本時間)

737×10218-89

c220

name 名前Dmitry Domanov
date 日付May 16, 2022 22:03:57 UTC 2022 年 5 月 17 日 (火) 7 時 3 分 57 秒 (日本時間)
composite number 合成数
1023611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<220>
prime factors 素因数
6650413253875138083904090724507381335387733<43>
composite cofactor 合成数の残り
153916917947115812783078042123646387216466220395442535571069661639774393631675001298305116124999885826444190870875437850615567828192282864381290055754862697702431941818202801067<177>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:4183935884
Step 1 took 43911ms
Step 2 took 17598ms
********** Factor found in step 2: 6650413253875138083904090724507381335387733
Found prime factor of 43 digits: 6650413253875138083904090724507381335387733
Composite cofactor 153916917947115812783078042123646387216466220395442535571069661639774393631675001298305116124999885826444190870875437850615567828192282864381290055754862697702431941818202801067 has 177 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 25, 2022 19:20:29 UTC 2022 年 3 月 26 日 (土) 4 時 20 分 29 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMay 15, 2022 22:07:31 UTC 2022 年 5 月 16 日 (月) 7 時 7 分 31 秒 (日本時間)

737×10220-89

c185

name 名前Erik Branger
date 日付August 21, 2024 19:51:39 UTC 2024 年 8 月 22 日 (木) 4 時 51 分 39 秒 (日本時間)
composite number 合成数
79023762736471126431358124503463673682169062554998082375233293672759812827278812084652420169635263033520910846561049782741427214802826839275804957312989955285716655630031962944770266913<185>
prime factors 素因数
1626313356856261961045654828890301788977149197557764869559088217<64>
48590735852546689447224270119271862277645080241164219019845518068824768295818836823146510568841808350626473455002901626889<122>
factorization results 素因数分解の結果
Number: 81888_220
N = 79023762736471126431358124503463673682169062554998082375233293672759812827278812084652420169635263033520910846561049782741427214802826839275804957312989955285716655630031962944770266913 (185 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=1626313356856261961045654828890301788977149197557764869559088217 (pp64)
r2=48590735852546689447224270119271862277645080241164219019845518068824768295818836823146510568841808350626473455002901626889 (pp122)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 57.18 hours.
Factorization parameters were as follows:
n: 79023762736471126431358124503463673682169062554998082375233293672759812827278812084652420169635263033520910846561049782741427214802826839275804957312989955285716655630031962944770266913
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 737
c0: -8
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30465032
Relations: 9649254 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 17.63 hours.
Total relation processing time: 0.37 hours.
Pruned matrix : 8117250 x 8117475
Matrix solve time: 38.63 hours.
time per square root: 0.55 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 57.18 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric 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 25, 2022 05:42:17 UTC 2022 年 3 月 25 日 (金) 14 時 42 分 17 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovApril 17, 2022 21:08:43 UTC 2022 年 4 月 18 日 (月) 6 時 8 分 43 秒 (日本時間)

737×10221-89

c166

name 名前Erik Branger
date 日付November 2, 2024 08:33:48 UTC 2024 年 11 月 2 日 (土) 17 時 33 分 48 秒 (日本時間)
composite number 合成数
2315915607592983943006096019577253269831294152777814557029025795038476828391765731559335584846243216921133351571779924987428839956186879475705788806729944763936651519<166>
prime factors 素因数
1266820865287079010366345521773796637419984333<46>
338214203852426728070091136190774044635069969851025143<54>
5405248677356215218680113645426371566971391068623552584805153795101<67>
factorization results 素因数分解の結果
Number: 81888_221
N = 2315915607592983943006096019577253269831294152777814557029025795038476828391765731559335584846243216921133351571779924987428839956186879475705788806729944763936651519 (166 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=1266820865287079010366345521773796637419984333 (pp46)
r2=338214203852426728070091136190774044635069969851025143 (pp54)
r3=5405248677356215218680113645426371566971391068623552584805153795101 (pp67)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 78.31 hours.
Factorization parameters were as follows:
n: 2315915607592983943006096019577253269831294152777814557029025795038476828391765731559335584846243216921133351571779924987428839956186879475705788806729944763936651519
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 3685
c0: -4
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30223430
Relations: 11111926 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 19.67 hours.
Total relation processing time: 0.46 hours.
Pruned matrix : 9370822 x 9371047
Matrix solve time: 57.52 hours.
time per square root: 0.66 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 78.31 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric 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 25, 2022 05:42:25 UTC 2022 年 3 月 25 日 (金) 14 時 42 分 25 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovApril 17, 2022 21:08:52 UTC 2022 年 4 月 18 日 (月) 6 時 8 分 52 秒 (日本時間)

737×10222-89

c195

composite cofactor 合成数の残り
314521974292386271010912749249768834581069157847885136197010187596583067071697351313417839115366989393273940163734318069455207147825987420755747477075580740093302854672183978479353010340004924443<195>

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 25, 2022 05:42:32 UTC 2022 年 3 月 25 日 (金) 14 時 42 分 32 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovApril 17, 2022 21:09:02 UTC 2022 年 4 月 18 日 (月) 6 時 9 分 2 秒 (日本時間)

737×10223-89

c184

composite cofactor 合成数の残り
1636363814134114212222934152321280860854723926842558536391573613649876690156224857806326901988546569643918081082358078043920430899894059048805629895089334141341152679731585972623990281<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 25, 2022 05:42:39 UTC 2022 年 3 月 25 日 (金) 14 時 42 分 39 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovApril 17, 2022 21:09:11 UTC 2022 年 4 月 18 日 (月) 6 時 9 分 11 秒 (日本時間)

737×10224-89

c194

composite cofactor 合成数の残り
26142553008574012076605137766111161763625595626505596934463461437474342900258266777773539909663596321869118058124791889280474360954635264121694984959768017887025207443782931782832357938379375801<194>

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 25, 2022 05:42:47 UTC 2022 年 3 月 25 日 (金) 14 時 42 分 47 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovApril 17, 2022 21:09:20 UTC 2022 年 4 月 18 日 (月) 6 時 9 分 20 秒 (日本時間)

737×10229-89

c187

composite cofactor 合成数の残り
4720643071682052449578012432726524994431923032350158856737670347775771742980801770249909553808102732204389768642802702841383029096455576575567812370448761397700510406316043471234958254337<187>

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 25, 2022 05:42:54 UTC 2022 年 3 月 25 日 (金) 14 時 42 分 54 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovApril 17, 2022 21:09:29 UTC 2022 年 4 月 18 日 (月) 6 時 9 分 29 秒 (日本時間)

737×10230-89

c208

composite cofactor 合成数の残り
1671564805727340994507263482460550374919753449052516988472125486478932798903672064437786481236301220967378054042644559377205297927730949220536966992990576293793600908957785033289555549552476287328530804485429<208>

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 25, 2022 19:20:40 UTC 2022 年 3 月 26 日 (土) 4 時 20 分 40 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovMay 7, 2022 08:27:58 UTC 2022 年 5 月 7 日 (土) 17 時 27 分 58 秒 (日本時間)

737×10231-89

c216

composite cofactor 合成数の残り
171375494631893760602196586488100684455453709024105566223704301431110306630095404599066814562977709935677957696916666790248089074114517093359812769746129474011061193562427741718771226035391561288959081231752159400573<216>

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 25, 2022 19:20:52 UTC 2022 年 3 月 26 日 (土) 4 時 20 分 52 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovMay 7, 2022 08:28:28 UTC 2022 年 5 月 7 日 (土) 17 時 28 分 28 秒 (日本時間)

737×10232-89

c165

composite cofactor 合成数の残り
695298720677474434191144543136549175326619906991514286623766250193127749442602702900777781271655024499415460149471749577992284463720678425420563149704464051552733087<165>

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 25, 2022 05:43:01 UTC 2022 年 3 月 25 日 (金) 14 時 43 分 1 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovApril 17, 2022 21:11:26 UTC 2022 年 4 月 18 日 (月) 6 時 11 分 26 秒 (日本時間)

737×10233-89

c185

name 名前Dmitry Domanov
date 日付April 19, 2022 10:59:34 UTC 2022 年 4 月 19 日 (火) 19 時 59 分 34 秒 (日本時間)
composite number 合成数
21224461147337327384572642029350152829233532983757496798286732840056171042746153029555611895241103750770179038683664596410323124179632075858198330330790606706383390977284366993516144099<185>
prime factors 素因数
175450227117380842914384866902199635031<39>
composite cofactor 合成数の残り
120971408792406985326837344914849817372105336047386183437403086883111982045521372796090149495077414587048515044405575779679413659362399679013862229<147>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1942501039
Step 1 took 41856ms
Step 2 took 14556ms
********** Factor found in step 2: 175450227117380842914384866902199635031
Found probable prime factor of 39 digits: 175450227117380842914384866902199635031
Composite cofactor 120971408792406985326837344914849817372105336047386183437403086883111982045521372796090149495077414587048515044405575779679413659362399679013862229 has 147 digits

c147

name 名前Ignacio Santos
date 日付May 3, 2022 21:58:53 UTC 2022 年 5 月 4 日 (水) 6 時 58 分 53 秒 (日本時間)
composite number 合成数
120971408792406985326837344914849817372105336047386183437403086883111982045521372796090149495077414587048515044405575779679413659362399679013862229<147>
prime factors 素因数
24816216503625733419444232568513051751522577979<47>
4874691868308476923161040936445173840625379544905919001349449818398703755861777162984354024478200751<100>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:725107455
Step 1 took 84047ms
Step 2 took 31875ms
********** Factor found in step 2: 24816216503625733419444232568513051751522577979
Found prime factor of 47 digits: 24816216503625733419444232568513051751522577979
Prime cofactor 4874691868308476923161040936445173840625379544905919001349449818398703755861777162984354024478200751 has 100 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)
403e61000Dmitry DomanovMarch 25, 2022 05:43:09 UTC 2022 年 3 月 25 日 (金) 14 時 43 分 9 秒 (日本時間)
4511e656801200Dmitry DomanovApril 17, 2022 21:11:16 UTC 2022 年 4 月 18 日 (月) 6 時 11 分 16 秒 (日本時間)
4480Ignacio SantosApril 20, 2022 21:25:29 UTC 2022 年 4 月 21 日 (木) 6 時 25 分 29 秒 (日本時間)

737×10236-89

c216

composite cofactor 合成数の残り
475865235435478860416293277200174374502286733936054992318891833101560711735784789504273470490194453750653751039164921435126202234731211631186521496373566250718501745612791739306265006392511403953587120513944369421199<216>

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 25, 2022 19:20:59 UTC 2022 年 3 月 26 日 (土) 4 時 20 分 59 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovMay 7, 2022 08:28:35 UTC 2022 年 5 月 7 日 (土) 17 時 28 分 35 秒 (日本時間)

737×10237-89

c228

name 名前Dmitry Domanov
date 日付March 25, 2022 22:50:00 UTC 2022 年 3 月 26 日 (土) 7 時 50 分 0 秒 (日本時間)
composite number 合成数
707943379462687484112160333833275924189407479971707544374912480394050734295196412669452199497711498800376933479944928403579571986323393015842483349530796983466549849303477109726864430102806891982686172123901814994441786063454507<228>
prime factors 素因数
18496978599854445455863894402933284795877<41>
38273460481176010021712906168703983156486239578361153975706914998487620451365586699554073287571776258571845648882163525275463072629362326123529898079396500641030708506392543957240022346191<188>
factorization results 素因数分解の結果
GPU: factor 18496978599854445455863894402933284795877 found in Step 1 with curve 798 (-sigma 3:1797224705)

Computing 1792 Step 1 took 452ms of CPU time / 265793ms of GPU time

Throughput: 6.742 curves per second (on average 148.32ms per Step 1)

********** Factor found in step 1: 18496978599854445455863894402933284795877

Found prime factor of 41 digits: 18496978599854445455863894402933284795877

Prime cofactor 38273460481176010021712906168703983156486239578361153975706914998487620451365586699554073287571776258571845648882163525275463072629362326123529898079396500641030708506392543957240022346191 has 188 digits

Peak memory usage: 9406MB

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 25, 2022 19:21:07 UTC 2022 年 3 月 26 日 (土) 4 時 21 分 7 秒 (日本時間)

737×10238-89

c196

composite cofactor 合成数の残り
2607427364209230781461255351886080897787910197648596230302353466567164243865393830727337820869319905422003383563293577306726497278531331740886642370552765514488134613590296389088775186020381271991<196>

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 25, 2022 05:43:17 UTC 2022 年 3 月 25 日 (金) 14 時 43 分 17 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovApril 17, 2022 21:11:07 UTC 2022 年 4 月 18 日 (月) 6 時 11 分 7 秒 (日本時間)

737×10239-89

c231

composite cofactor 合成数の残り
440321656636823529784006427937758235749655251312017335121927406581265678891997412572728315772640583796338629111125025227664725466068998899145051143788671506099490662209801453042128595707579489375827228442762290585877713409624657987<231>

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 25, 2022 19:21:16 UTC 2022 年 3 月 26 日 (土) 4 時 21 分 16 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMay 16, 2022 07:20:04 UTC 2022 年 5 月 16 日 (月) 16 時 20 分 4 秒 (日本時間)

737×10240-89

c241

name 名前Dmitry Domanov
date 日付March 26, 2022 13:28:56 UTC 2022 年 3 月 26 日 (土) 22 時 28 分 56 秒 (日本時間)
composite number 合成数
3412037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037<241>
prime factors 素因数
3640090096079876832164392626366101677<37>
937349611404278966903773800843454866317347221833892813572025374582285404718586363702767016924344598308547710366491791672114935982666629296186515307293344159193693005913054303671902336429673088245580335681<204>
factorization results 素因数分解の結果
Resuming ECM residue saved by @ea40318601c0 with GMP-ECM 7.0.5-dev on Fri Mar 25 20:13:20 2022 
Input number is 3412037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037 (241 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1349931574
Step 1 took 0ms
Step 2 took 10540ms
********** Factor found in step 2: 3640090096079876832164392626366101677
Found prime factor of 37 digits: 3640090096079876832164392626366101677
Prime cofactor 937349611404278966903773800843454866317347221833892813572025374582285404718586363702767016924344598308547710366491791672114935982666629296186515307293344159193693005913054303671902336429673088245580335681 has 204 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 25, 2022 19:21:24 UTC 2022 年 3 月 26 日 (土) 4 時 21 分 24 秒 (日本時間)

737×10241-89

c219

composite cofactor 合成数の残り
176074212282192753897928512254846809199075865976119419815461630542881613862268314311551934427057890826932009574627585084981009736537347353941497919423163792357177556417458958948475769731087509127528200661964759080080479<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)
403e61000Dmitry DomanovMarch 25, 2022 19:21:35 UTC 2022 年 3 月 26 日 (土) 4 時 21 分 35 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovMay 7, 2022 08:28:43 UTC 2022 年 5 月 7 日 (土) 17 時 28 分 43 秒 (日本時間)

737×10242-89

c159

composite cofactor 合成数の残り
664898333890676793640271757893809688328362532327135694563904004225009413692645111912066096153713576841937862913121092075088598620663825448403973262594463017491<159>

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 19, 2022 11:05:17 UTC 2022 年 3 月 19 日 (土) 20 時 5 分 17 秒 (日本時間)
4511e64480Ignacio SantosMarch 20, 2022 14:36:30 UTC 2022 年 3 月 20 日 (日) 23 時 36 分 30 秒 (日本時間)
5043e65000yoyo@HomeJuly 31, 2022 01:39:19 UTC 2022 年 7 月 31 日 (日) 10 時 39 分 19 秒 (日本時間)
5511e79000 / 15685yoyo@HomeAugust 14, 2024 13:02:36 UTC 2024 年 8 月 14 日 (水) 22 時 2 分 36 秒 (日本時間)

737×10243-89

c240

composite cofactor 合成数の残り
155822123443258758598759512126640043706308491438874596384757594055671417867152442665069965613419054529708957256109834088552634472166828197334659407089420333243688041148880533271089054986392521214642966481117826050921908801983698088187287621<240>

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 25, 2022 19:21:46 UTC 2022 年 3 月 26 日 (土) 4 時 21 分 46 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMay 16, 2022 07:20:15 UTC 2022 年 5 月 16 日 (月) 16 時 20 分 15 秒 (日本時間)

737×10245-89

c198

name 名前Dmitry Domanov
date 日付March 25, 2022 19:15:42 UTC 2022 年 3 月 26 日 (土) 4 時 15 分 42 秒 (日本時間)
composite number 合成数
157180016948305098245249832831241885357374433843952623190664741061421406994847198443461808492113981003455675652256875415270153086901912503085742239778255797560010247326960679667270952407653095887493<198>
prime factors 素因数
956306935146746993303160235694548603<36>
164361473467914928588232157958231992217147636992416734832460469626560806879651040834827691250619699070779453067214510937026490581718068863381054641929635015973631<162>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1207312345
Step 1 took 9782ms
Step 2 took 4706ms
********** Factor found in step 2: 956306935146746993303160235694548603
Found prime factor of 36 digits: 956306935146746993303160235694548603
Prime cofactor 164361473467914928588232157958231992217147636992416734832460469626560806879651040834827691250619699070779453067214510937026490581718068863381054641929635015973631 has 162 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 25, 2022 05:43:29 UTC 2022 年 3 月 25 日 (金) 14 時 43 分 29 秒 (日本時間)

737×10246-89

c237

composite cofactor 合成数の残り
116191562651940650736437902618429398839401669356419884994518776404590132994942405698690017756900878067009762466316680194405845915388882815754238767766734784867831481513633783675663243543856012805071215151204932947630055497280874537768859<237>

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 25, 2022 19:21:57 UTC 2022 年 3 月 26 日 (土) 4 時 21 分 57 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMay 16, 2022 07:20:26 UTC 2022 年 5 月 16 日 (月) 16 時 20 分 26 秒 (日本時間)

737×10247-89

c190

composite cofactor 合成数の残り
4706216061938552504095521036079334762527510437717607957309710338373266260845543882504261053469038068029611145796185606397791864724189147186213663253323380720956713171847959723447590961310797<190>

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 25, 2022 05:43:36 UTC 2022 年 3 月 25 日 (金) 14 時 43 分 36 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovApril 17, 2022 21:10:51 UTC 2022 年 4 月 18 日 (月) 6 時 10 分 51 秒 (日本時間)

737×10248-89

c223

composite cofactor 合成数の残り
1091142404171070226313993530448700740022483055723247339426259467025325743723678456434280503430836787840404377208814041351064733171978357994037701828321112724905572471939728251126735786828366603882288346883237966883651893327<223>

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 25, 2022 19:22:05 UTC 2022 年 3 月 26 日 (土) 4 時 22 分 5 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMay 11, 2022 05:52:21 UTC 2022 年 5 月 11 日 (水) 14 時 52 分 21 秒 (日本時間)

737×10249-89

c219

composite cofactor 合成数の残り
939316670451558169608383207103794368244005390059870855411151035363375514250772029270820232479097112687556897075521357196015737151162423258858187567021115634118398574167268942747338540974980604873366899943917086962430421<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)
403e61000Dmitry DomanovMarch 25, 2022 19:22:13 UTC 2022 年 3 月 26 日 (土) 4 時 22 分 13 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovMay 7, 2022 08:28:52 UTC 2022 年 5 月 7 日 (土) 17 時 28 分 52 秒 (日本時間)

737×10250-89

c201

name 名前Dmitry Domanov
date 日付March 26, 2022 09:43:31 UTC 2022 年 3 月 26 日 (土) 18 時 43 分 31 秒 (日本時間)
composite number 合成数
753536614364258222781147378312271256712820400805878916029491505602508509047085258066531794797470408314449380128857472959305949506919449437922487479961530981839069928563808141904531323731718774709353283<201>
prime factors 素因数
576369642129371055133299929887152060293<39>
composite cofactor 合成数の残り
1307384288284774960338816157308525895696104109354074064374042021406902078743852267844534279368726582706751971530318275026092045415743887152435600666905335450619431<163>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=541132795
Step 1 took 13472ms
Step 2 took 4836ms
********** Factor found in step 2: 576369642129371055133299929887152060293
Found probable prime factor of 39 digits: 576369642129371055133299929887152060293
Composite cofactor 1307384288284774960338816157308525895696104109354074064374042021406902078743852267844534279368726582706751971530318275026092045415743887152435600666905335450619431 has 163 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)
403e633501000Dmitry DomanovMarch 25, 2022 19:22:23 UTC 2022 年 3 月 26 日 (土) 4 時 22 分 23 秒 (日本時間)
2350Ignacio SantosMarch 26, 2022 21:12:48 UTC 2022 年 3 月 27 日 (日) 6 時 12 分 48 秒 (日本時間)
4511e64480Ignacio SantosMarch 27, 2022 20:27:38 UTC 2022 年 3 月 28 日 (月) 5 時 27 分 38 秒 (日本時間)

737×10251-89

c218

name 名前Dmitry Domanov
date 日付May 8, 2022 05:00:44 UTC 2022 年 5 月 8 日 (日) 14 時 0 分 44 秒 (日本時間)
composite number 合成数
22514440049290258746333673020821077771273281472504424101035148626221759729971707653830017075510789466964577875503661407633910822720110439817469053118831408978292023667428417435806703314258279370252304175734506508880803<218>
prime factors 素因数
5158974436522685936890571759712978086701<40>
4364130957870322904601823644322198143361682226920824677309577870838234635089936939935494760773156021761376230332670431720472629058755992468677243022388727387146819347792882930703<178>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2090210744
Step 1 took 84710ms
Step 2 took 30081ms
********** Factor found in step 2: 5158974436522685936890571759712978086701
Found prime factor of 40 digits: 5158974436522685936890571759712978086701
Prime cofactor 4364130957870322904601823644322198143361682226920824677309577870838234635089936939935494760773156021761376230332670431720472629058755992468677243022388727387146819347792882930703 has 178 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 25, 2022 19:22:31 UTC 2022 年 3 月 26 日 (土) 4 時 22 分 31 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovMay 7, 2022 08:29:01 UTC 2022 年 5 月 7 日 (土) 17 時 29 分 1 秒 (日本時間)

737×10252-89

c242

name 名前Dmitry Domanov
date 日付May 19, 2022 21:53:49 UTC 2022 年 5 月 20 日 (金) 6 時 53 分 49 秒 (日本時間)
composite number 合成数
21610536073629402015877405309964847533700928927130479324992369562858788472733983913502039623042103552002401258349206332301556582329824134492817338278049507848720209801310157772271577780504565686126445141327470473516919449085675313309729330893<242>
prime factors 素因数
2503242493296166877112292245598765754683<40>
133114232126091026219531750204852606063579933<45>
64854202973717665022763248787542978716311514861904986552484893904100754102637109514427262707630936221796401108966787462208660669180777103792104182484411697987<158>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2802087152
Step 1 took 90859ms
********** Factor found in step 1: 133114232126091026219531750204852606063579933
Found prime factor of 45 digits: 133114232126091026219531750204852606063579933
Composite cofactor 162345796752664688032053474661669147079732798558579197730915141802882368915404002596349763028435059457972057037366021238824256482444364276271007308918160844922488469199627525632061731043459526923121 has 198 digits
----
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3546621492
Step 1 took 67661ms
Step 2 took 25694ms
********** Factor found in step 2: 2503242493296166877112292245598765754683
Found prime factor of 40 digits: 2503242493296166877112292245598765754683
Prime cofactor 64854202973717665022763248787542978716311514861904986552484893904100754102637109514427262707630936221796401108966787462208660669180777103792104182484411697987 has 158 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 25, 2022 19:22:41 UTC 2022 年 3 月 26 日 (土) 4 時 22 分 41 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMay 19, 2022 07:59:38 UTC 2022 年 5 月 19 日 (木) 16 時 59 分 38 秒 (日本時間)

737×10253-89

c208

composite cofactor 合成数の残り
3978486392438023234831401003094603039190466505232945502995400122200358029482102620550633024097073786364220687599434738984495788960683830356330030863696676628563203356021442544731436202152568131974048754299217<208>

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 25, 2022 19:22:50 UTC 2022 年 3 月 26 日 (土) 4 時 22 分 50 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovMay 7, 2022 08:29:09 UTC 2022 年 5 月 7 日 (土) 17 時 29 分 9 秒 (日本時間)

737×10255-89

c230

name 名前Dmitry Domanov
date 日付May 13, 2022 15:28:01 UTC 2022 年 5 月 14 日 (土) 0 時 28 分 1 秒 (日本時間)
composite number 合成数
22392605670680344504319492001608564267718480422889402828415010424339699261861077173004775843499386325052875032262510949584461487393491091429306759172324622766328067461988474066861554545443670348395393924926151953138279194026619967<230>
prime factors 素因数
30190847629812304479674059785554626090439<41>
741701788079924757228812979847389201258881097733035696399284109422436461997760922714725170829660875774800882312086702625646455787823594368110929177834627156436763873502720935538690855505353<189>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2586424368
Step 1 took 43458ms
Step 2 took 395ms
********** Factor found in step 2: 30190847629812304479674059785554626090439
Found prime factor of 41 digits: 30190847629812304479674059785554626090439
Prime cofactor 741701788079924757228812979847389201258881097733035696399284109422436461997760922714725170829660875774800882312086702625646455787823594368110929177834627156436763873502720935538690855505353 has 189 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 25, 2022 19:23:01 UTC 2022 年 3 月 26 日 (土) 4 時 23 分 1 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMay 11, 2022 05:52:33 UTC 2022 年 5 月 11 日 (水) 14 時 52 分 33 秒 (日本時間)

737×10256-89

c213

composite cofactor 合成数の残り
887008159258980975518987831411399572369400776972970614645710617033339264022615816093436520243328273018992056876157248004939872407832581913104461765779030519364912665985719330261949731734880366940344388940981354197<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)
403e61000Dmitry DomanovMarch 25, 2022 19:23:11 UTC 2022 年 3 月 26 日 (土) 4 時 23 分 11 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovMay 7, 2022 08:29:16 UTC 2022 年 5 月 7 日 (土) 17 時 29 分 16 秒 (日本時間)

737×10257-89

c259

composite cofactor 合成数の残り
1023611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<259>

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 24, 2022 18:00:05 UTC 2022 年 3 月 25 日 (金) 3 時 0 分 5 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMay 4, 2022 15:24:17 UTC 2022 年 5 月 5 日 (木) 0 時 24 分 17 秒 (日本時間)

737×10258-89

c225

composite cofactor 合成数の残り
512708244096035463589532118825854240994492650599235830039231256382410449133214021234530832251847553484348134617464728872400767367026065610752983557069843237549941557031610073136569983104359961362659667436147536610276203396741<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)
403e61792Dmitry DomanovMarch 25, 2022 19:23:21 UTC 2022 年 3 月 26 日 (土) 4 時 23 分 21 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMay 11, 2022 05:52:42 UTC 2022 年 5 月 11 日 (水) 14 時 52 分 42 秒 (日本時間)

737×10259-89

c183

composite cofactor 合成数の残り
163994978890753965372227896673985312374720497007753642039349002341195173282655805208042192243914729959753466483439864305578259852293179495936459563533253882350243930094557108146824101<183>

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 25, 2022 05:43:44 UTC 2022 年 3 月 25 日 (金) 14 時 43 分 44 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovApril 17, 2022 21:10:33 UTC 2022 年 4 月 18 日 (月) 6 時 10 分 33 秒 (日本時間)

737×10260-89

c233

composite cofactor 合成数の残り
48671976606398033785995449282241408855507657011666749222170442383326272544003001864219554360560765564385970419972500725155620890226513725725631269769276124772136741859233416695118237912522940016759807113101678693965840759964581338493<233>

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 25, 2022 19:24:11 UTC 2022 年 3 月 26 日 (土) 4 時 24 分 11 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMay 16, 2022 07:20:32 UTC 2022 年 5 月 16 日 (月) 16 時 20 分 32 秒 (日本時間)

737×10261-89

c212

composite cofactor 合成数の残り
17924605305795205538572019585372118611527916388506695949054932361831283850538501613477631157055411485287239002977112386307204318185413524282294067055195202691729133209472733830873748995101279871843509251643030677<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)
403e61000Dmitry DomanovMarch 25, 2022 19:24:21 UTC 2022 年 3 月 26 日 (土) 4 時 24 分 21 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovMay 7, 2022 08:29:24 UTC 2022 年 5 月 7 日 (土) 17 時 29 分 24 秒 (日本時間)

737×10262-89

c246

composite cofactor 合成数の残り
366865543168530795690598675081384604730459616879618704095092748744520365062830407103905816098248989026783790856672879203740207620603226477929540791873578427074527560236501137737503975281853708894150335201006556070030575632947339546926282926713873<246>

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 25, 2022 19:24:30 UTC 2022 年 3 月 26 日 (土) 4 時 24 分 30 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMay 29, 2022 06:46:46 UTC 2022 年 5 月 29 日 (日) 15 時 46 分 46 秒 (日本時間)

737×10263-89

c216

composite cofactor 合成数の残り
821095283926688058015979116161927689360562491753513715666365957088405281464005155525319723657659345121641996507128877018192649235087717384353041630836411149083186145417519737410074259275621239918002186062998560627731<216>

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 25, 2022 19:24:39 UTC 2022 年 3 月 26 日 (土) 4 時 24 分 39 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovMay 7, 2022 08:29:32 UTC 2022 年 5 月 7 日 (土) 17 時 29 分 32 秒 (日本時間)

737×10264-89

c180

name 名前Ignacio Santos
date 日付March 20, 2022 20:34:20 UTC 2022 年 3 月 21 日 (月) 5 時 34 分 20 秒 (日本時間)
composite number 合成数
170033501562410083609285905109409672363764209144893897130433286553755411199389023039973145491718910805426890786625542320997330167451254466754688765265676132629117503899679429424801<180>
prime factors 素因数
913722945683384066263108118179901320902200563<45>
186088685159635606238758534921838964860660159476630656727537229951207971364216974852098771886291206723272721599140423258538682438419227<135>
factorization results 素因数分解の結果
Run 92 out of 4480:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1784447319
Step 1 took 30953ms
********** Factor found in step 1: 913722945683384066263108118179901320902200563
Found prime factor of 45 digits: 913722945683384066263108118179901320902200563
Prime cofactor 186088685159635606238758534921838964860660159476630656727537229951207971364216974852098771886291206723272721599140423258538682438419227 has 135 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)
403e62350Ignacio SantosMarch 19, 2022 11:45:42 UTC 2022 年 3 月 19 日 (土) 20 時 45 分 42 秒 (日本時間)

737×10265-89

c254

composite cofactor 合成数の残り
12612453914637680800799291627662679356772567974883308263379456194667932933197154481351082145229244108504338296164162578862358188430404990321592870979336188205893125144989502182382265830092748496893702197897025706480981804601460264428355284324010946096499<254>

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 24, 2022 18:00:22 UTC 2022 年 3 月 25 日 (金) 3 時 0 分 22 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMay 4, 2022 15:24:39 UTC 2022 年 5 月 5 日 (木) 0 時 24 分 39 秒 (日本時間)

737×10266-89

c231

composite cofactor 合成数の残り
311593584250039410279187514639444977901449828679909968039511282555594581672743543067140045182464426066216946093265710197878699995657238877166539412278443885605782062823870958659397768508981406211850095967321764800329678489576865459<231>

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 25, 2022 19:24:51 UTC 2022 年 3 月 26 日 (土) 4 時 24 分 51 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMay 16, 2022 07:20:39 UTC 2022 年 5 月 16 日 (月) 16 時 20 分 39 秒 (日本時間)

737×10268-89

c255

composite cofactor 合成数の残り
202102938511784358942943953219937674131104936827946713229937995685046495950273523208985672364965237581817837459419104701826900782522406053917614490232147682261590985131525118136548659787795299743225167635035713924485430356370758336471123814254393146928501<255>

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 24, 2022 18:00:30 UTC 2022 年 3 月 25 日 (金) 3 時 0 分 30 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMay 4, 2022 15:25:50 UTC 2022 年 5 月 5 日 (木) 0 時 25 分 50 秒 (日本時間)

737×10270-89

c254

composite cofactor 合成数の残り
44205688877974821804636752976142687303989797605263823087926733698126770019568552416223211859636039797252610055168884692160594765110111163934571672097225033342890467260819364553022420000937483182831461578844480018998495633272555977044806349236527862171383<254>

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 24, 2022 18:00:38 UTC 2022 年 3 月 25 日 (金) 3 時 0 分 38 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMay 4, 2022 15:24:53 UTC 2022 年 5 月 5 日 (木) 0 時 24 分 53 秒 (日本時間)

737×10272-89

c253

composite cofactor 合成数の残り
3977839371338035639547364841506349093851148651110269291911175345796685933502034385332996659388116959256513481762435918210350717594638429074671165635124447620454775939503743158573470857951185762228949342999633141795086600305472751939091464696609822380937<253>

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 24, 2022 18:00:45 UTC 2022 年 3 月 25 日 (金) 3 時 0 分 45 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMay 4, 2022 15:25:01 UTC 2022 年 5 月 5 日 (木) 0 時 25 分 1 秒 (日本時間)

737×10273-89

c235

composite cofactor 合成数の残り
6069553816670918461856944981863133083915563694244064623574680065576695721369490752379084240512377265304145731055099628958595557169894739906940048915315441251694990385282781273569715957980671274646382957949792570143776158885283814853873<235>

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 25, 2022 19:25:01 UTC 2022 年 3 月 26 日 (土) 4 時 25 分 1 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMay 16, 2022 07:20:47 UTC 2022 年 5 月 16 日 (月) 16 時 20 分 47 秒 (日本時間)

737×10274-89

c255

composite cofactor 合成数の残り
451622223874351638155261762894784768144799446172150414012671033123043365020916503378438159219349088545236553044817057319442152254404318863961817926615729426739503507730767249722137952303401771085858715774855367508680390041467520320087069761308431768166327<255>

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 24, 2022 18:00:52 UTC 2022 年 3 月 25 日 (金) 3 時 0 分 52 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMay 4, 2022 15:25:09 UTC 2022 年 5 月 5 日 (木) 0 時 25 分 9 秒 (日本時間)

737×10278-89

c264

composite cofactor 合成数の残り
893694345401314786541875175439066786511776748176163092931020636498790475726084034175964551524770917961910883133632704837458452763033167169206046531375398260719094342255969790143420028996014794059330771253983801370132676956163188878506170547221269449653174789942377<264>

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 24, 2022 18:01:00 UTC 2022 年 3 月 25 日 (金) 3 時 1 分 0 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMay 4, 2022 15:25:23 UTC 2022 年 5 月 5 日 (木) 0 時 25 分 23 秒 (日本時間)

737×10279-89

c247

composite cofactor 合成数の残り
9998922453348580852518928229045735680838146887376917252845372889189021398343504296921318707960076782925319550705666143838994767250208759573023462225351516609424959785087169184446504498718376497564739205766253069221098664055204998792689395938617149<247>

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 25, 2022 19:25:10 UTC 2022 年 3 月 26 日 (土) 4 時 25 分 10 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMay 19, 2022 08:00:08 UTC 2022 年 5 月 19 日 (木) 17 時 0 分 8 秒 (日本時間)

737×10280-89

c278

name 名前Dmitry Domanov
date 日付March 19, 2022 23:43:33 UTC 2022 年 3 月 20 日 (日) 8 時 43 分 33 秒 (日本時間)
composite number 合成数
62759724776892158866407793446420055862115947952857824102459295592342802643231827781184004359970025206076708222630969412085291913618093875604605218339123918523060153961441515089583759111656107364261870699638939982287621772600313372845561686763403501600926493630356291300497309081<278>
prime factors 素因数
248127850204546344565064721334798432867<39>
composite cofactor 合成数の残り
252933013062240436229543540655818988902781206976061796748876443318417562892272896348045874167068306663222215780927371727767934011972076001844164669336733207662400715968968917005212033581659838263686471366789908357264417131419507515900447443<240>
factorization results 素因数分解の結果
Resuming ECM residue saved by @b0bf73c6c96c with GMP-ECM 7.0.5-dev on Sat Mar 19 21:57:07 2022 
Input number is 62759724776892158866407793446420055862115947952857824102459295592342802643231827781184004359970025206076708222630969412085291913618093875604605218339123918523060153961441515089583759111656107364261870699638939982287621772600313372845561686763403501600926493630356291300497309081 (278 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3413675272
Step 1 took 0ms
Step 2 took 13016ms
********** Factor found in step 2: 248127850204546344565064721334798432867
Found prime factor of 39 digits: 248127850204546344565064721334798432867
Composite cofactor 252933013062240436229543540655818988902781206976061796748876443318417562892272896348045874167068306663222215780927371727767934011972076001844164669336733207662400715968968917005212033581659838263686471366789908357264417131419507515900447443 has 240 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 19, 2022 10:36:45 UTC 2022 年 3 月 19 日 (土) 19 時 36 分 45 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMay 16, 2022 07:20:54 UTC 2022 年 5 月 16 日 (月) 16 時 20 分 54 秒 (日本時間)

737×10282-89

c279

name 名前Dmitry Domanov
date 日付March 20, 2022 17:36:33 UTC 2022 年 3 月 21 日 (月) 2 時 36 分 33 秒 (日本時間)
composite number 合成数
516427582418198431517638419409268508708496600126689425917517335710161500989410782054947334196615262151814293482221437420468750875894814142127597553660819893603305136527476469961712885884219318455734378240810812325872110948545033606332229005151662938858337677771611478286217199491<279>
prime factors 素因数
1174999488364226578619688597269579175962653<43>
composite cofactor 合成数の残り
439513027479818021214221266110889451607729337185802514693239055196233642894682993309466222120205364224011747614237168279867666939407281584149590035674863051107402541100064634588709680588889677781222571087524562139963995896807151657071647<237>
factorization results 素因数分解の結果
Resuming ECM residue saved by @b0bf73c6c96c with GMP-ECM 7.0.5-dev on Sat Mar 19 21:52:40 2022 
Input number is 516427582418198431517638419409268508708496600126689425917517335710161500989410782054947334196615262151814293482221437420468750875894814142127597553660819893603305136527476469961712885884219318455734378240810812325872110948545033606332229005151662938858337677771611478286217199491 (279 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:363212744
Step 1 took 0ms
Step 2 took 13324ms
********** Factor found in step 2: 1174999488364226578619688597269579175962653
Found prime factor of 43 digits: 1174999488364226578619688597269579175962653
Composite cofactor 439513027479818021214221266110889451607729337185802514693239055196233642894682993309466222120205364224011747614237168279867666939407281584149590035674863051107402541100064634588709680588889677781222571087524562139963995896807151657071647 has 237 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 19, 2022 10:36:35 UTC 2022 年 3 月 19 日 (土) 19 時 36 分 35 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMay 16, 2022 07:21:02 UTC 2022 年 5 月 16 日 (月) 16 時 21 分 2 秒 (日本時間)

737×10284-89

c257

composite cofactor 合成数の残り
23397834414591790242069568587721294349075977554237654982124454256206127880855890209529986969101622573879253219949910057645958844109428166767804628553955959926237540078757559572499244652173292195873486828137042933974047866117178081693069751257816035802387223<257>

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 24, 2022 18:01:08 UTC 2022 年 3 月 25 日 (金) 3 時 1 分 8 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMay 4, 2022 15:25:23 UTC 2022 年 5 月 5 日 (木) 0 時 25 分 23 秒 (日本時間)

737×10285-89

c254

composite cofactor 合成数の残り
61963452171035620948941117114218063438289128107572155890484430562421232447034715943161768530279460603458587223706935928808217202579631725295393528097524833471404353125390989047013890306442548692021250143833115667429934134040380217368647896219203665313799<254>

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 24, 2022 18:01:15 UTC 2022 年 3 月 25 日 (金) 3 時 1 分 15 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMay 4, 2022 15:25:32 UTC 2022 年 5 月 5 日 (木) 0 時 25 分 32 秒 (日本時間)

737×10286-89

c254

name 名前Dmitry Domanov
date 日付March 25, 2022 19:14:13 UTC 2022 年 3 月 26 日 (土) 4 時 14 分 13 秒 (日本時間)
composite number 合成数
21857777796796452037790459216664636398406548815228536981458138601985519701848686932908390937978045358000962273003030780941939126370985072480004053929062123273374166426314098535982554663181617094156251993806502073656112981731685525277797138561820761405339<254>
prime factors 素因数
397187505266257222200953637105734388719627011<45>
55031383180455157617020675534374553183718776558152293126349562388741813643235091944827571853493105117685383926328458134327560750153701334256154156869943655543248602150201916693799156423803580068844924330643849<209>
factorization results 素因数分解の結果
Resuming ECM residue saved by @a745c4229aed with GMP-ECM 7.0.5-dev on Thu Mar 24 19:00:27 2022 
Input number is 21857777796796452037790459216664636398406548815228536981458138601985519701848686932908390937978045358000962273003030780941939126370985072480004053929062123273374166426314098535982554663181617094156251993806502073656112981731685525277797138561820761405339 (254 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3125184887
Step 1 took 0ms
Step 2 took 11196ms
********** Factor found in step 2: 397187505266257222200953637105734388719627011
Found prime factor of 45 digits: 397187505266257222200953637105734388719627011
Prime cofactor 55031383180455157617020675534374553183718776558152293126349562388741813643235091944827571853493105117685383926328458134327560750153701334256154156869943655543248602150201916693799156423803580068844924330643849 has 209 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 24, 2022 18:01:24 UTC 2022 年 3 月 25 日 (金) 3 時 1 分 24 秒 (日本時間)

737×10287-89

c242

composite cofactor 合成数の残り
56682508848061501902028948701826225591165739287077653951858947409398948010738603805328476358950500903903479792777928224486806285530777184695936346966434762237296448849873082192230418439491594037667261543500670183847510926941751434620564295349<242>

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 25, 2022 19:25:19 UTC 2022 年 3 月 26 日 (土) 4 時 25 分 19 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMay 19, 2022 08:00:48 UTC 2022 年 5 月 19 日 (木) 17 時 0 分 48 秒 (日本時間)

737×10290-89

c245

composite cofactor 合成数の残り
49541712763792931447799721872580646043913012523168969950146726058093383732395816518477647138402493583310767234809436399183043567893536780206209360973686852395723976237738906308811000003695785328563793311880971075933434515627462252184730173064127<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)
403e61792Dmitry DomanovMarch 25, 2022 19:25:28 UTC 2022 年 3 月 26 日 (土) 4 時 25 分 28 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMay 19, 2022 08:00:38 UTC 2022 年 5 月 19 日 (木) 17 時 0 分 38 秒 (日本時間)

737×10291-89

c278

composite cofactor 合成数の残り
89915043950419069361956929429470816235643385422610547373094128196213991114005678938594296934835601710133920147308052208990432965029324871237322053305057890675312430033690021472727314298216510779510758878846609446483747287345032337425776287194416206230006658557605334489957384583<278>

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 19, 2022 10:36:27 UTC 2022 年 3 月 19 日 (土) 19 時 36 分 27 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMay 1, 2022 19:55:52 UTC 2022 年 5 月 2 日 (月) 4 時 55 分 52 秒 (日本時間)

737×10293-89

c182

composite cofactor 合成数の残り
64312936219653702021979349832949386723154732546724614867806093001785252623986422486882663192599440786530476872918809431893171276234448435367568932862269346747144943313740432504591327<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)
403e62350Ignacio SantosMarch 19, 2022 12:00:11 UTC 2022 年 3 月 19 日 (土) 21 時 0 分 11 秒 (日本時間)
4511e64480Ignacio SantosMarch 20, 2022 22:24:52 UTC 2022 年 3 月 21 日 (月) 7 時 24 分 52 秒 (日本時間)
5043e61792 / 6453Dmitry DomanovApril 23, 2024 07:21:04 UTC 2024 年 4 月 23 日 (火) 16 時 21 分 4 秒 (日本時間)

737×10294-89

c281

composite cofactor 合成数の残り
94383091545320475096549037744178353163585827333527806461205538338220977896106494196760850012191192088912472827572108787187507333399953797918633902680744894131617598352151238040927288644852294747674209827292444685508273672922125856790208282869644844844704274978858768990790178898581<281>

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 19, 2022 10:36:17 UTC 2022 年 3 月 19 日 (土) 19 時 36 分 17 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMay 1, 2022 19:56:00 UTC 2022 年 5 月 2 日 (月) 4 時 56 分 0 秒 (日本時間)

737×10297-89

c236

composite cofactor 合成数の残り
32166148319007106351856025794385299846669960110456354693875731236136614735007594704381337492199507531707827174178084949774806970468605456286659724857007957658845573105307144423165125383713877668281949219191207011602807372778518858220369<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)
403e61792Dmitry DomanovMarch 25, 2022 19:25:36 UTC 2022 年 3 月 26 日 (土) 4 時 25 分 36 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMay 16, 2022 07:21:09 UTC 2022 年 5 月 16 日 (月) 16 時 21 分 9 秒 (日本時間)

737×10299-89

c155

name 名前Bob Backstrom
date 日付May 9, 2024 16:35:35 UTC 2024 年 5 月 10 日 (金) 1 時 35 分 35 秒 (日本時間)
composite number 合成数
40571791477888213448151518652256424837305460044196217865837239165227989579850407400376448068157551066713152743437090467211606068265900340580469603509110841<155>
prime factors 素因数
23366387882139712877167329171410170624202171528108712948520231<62>
1736331335529167931046542720381866684489711442999189821398532176556692176452886042647788049311<94>
factorization results 素因数分解の結果
CADO:

STA:Sun May 5 08:29:09 PM AEST 2024 (40571791477888213448151518652256424837305460044196217865837239165227989579850407400376448068157551066713152743437090467211606068265900340580469603509110841 - C155)

/home/bob/Downloads/Math/cado-nfs/cado-nfs.py -t 20 --no-colors --screenlog DEBUG 40571791477888213448151518652256424837305460044196217865837239165227989579850407400376448068157551066713152743437090467211606068265900340580469603509110841 2>&1 | tee -a log-10 

/home/bob/Downloads/Math/cado-nfs/cado-nfs.py:93: DeprecationWarning: 'locale.getdefaultlocale' is deprecated and slated for removal in Python 3.15. Use setlocale(), getencoding() and getlocale() instead.
  loc = locale.getdefaultlocale()[1]
Debug:root: Looking for parameter file for c155 in directory /home/bob/Downloads/Math/cado-nfs/parameters/factor
Info:root: Using default parameter file /home/bob/Downloads/Math/cado-nfs/parameters/factor/params.c155
Debug:Parameters: Reading parameter file /home/bob/Downloads/Math/cado-nfs/parameters/factor/params.c155
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.dgnf2161
Info:Database: Opened connection to database /tmp/cado.dgnf2161/c155.db
Info:root: Set tasks.threads=20 based on --server-threads 20
Info:root: tasks.threads = 20 [via tasks.threads]
Info:root: tasks.polyselect.threads = 2 [via tasks.polyselect.threads]
Info:root: tasks.sieve.las.threads = 2 [via tasks.sieve.las.threads]
Info:root: tasks.linalg.bwc.threads = 20 [via tasks.threads]
Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads]
Info:root: slaves.scriptpath is /home/bob/Downloads/Math/cado-nfs/build/VM9
Info:root: Command line parameters: /home/bob/Downloads/Math/cado-nfs/cado-nfs.py -t 20 --no-colors --screenlog DEBUG 40571791477888213448151518652256424837305460044196217865837239165227989579850407400376448068157551066713152743437090467211606068265900340580469603509110841
Debug:root: Root parameter dictionary:
N = 40571791477888213448151518652256424837305460044196217865837239165227989579850407400376448068157551066713152743437090467211606068265900340580469603509110841
name = c155
===
Info:Polynomial Selection (root optimized): Best polynomial is:
n: 40571791477888213448151518652256424837305460044196217865837239165227989579850407400376448068157551066713152743437090467211606068265900340580469603509110841
skew: 684978.371
c0: 397293187934489706350235312081960670
c1: 94594994911267859138691038481
c2: -6314384844609570017742848
c3: 222647105905316433
c4: 6655251468436 
c5: 151200 
Y0: 161190357209540998947248801283
Y1: 953998927556816371127197
# MurphyE (Bf=2.147e+09,Bg=2.147e+09,area=6.979e+14) = 3.223e-07
# f(x) = 151200*x^5+6655251468436*x^4+222647105905316433*x^3-6314384844609570017742848*x^2+94594994911267859138691038481*x+397293187934489706350235312081960670
# g(x) = 953998927556816371127197*x+161190357209540998947248801283
===
Debug:Command: Process with PID 1050354 finished successfully
Info:Square Root: finished
Info:Square Root: Factors: 23366387882139712877167329171410170624202171528108712948520231 1736331335529167931046542720381866684489711442999189821398532176556692176452886042647788049311
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 6446.2/706.701 
Info:HTTP server: Got notification to stop serving Workunits
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 783.7/669.345
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 669.1s
Info:Quadratic Characters: Total cpu/real time for characters: 134.43/34.9583
Info:Generate Free Relations: Total cpu/real time for freerel: 923.14/105.632
Info:Generate Factor Base: Total cpu/real time for makefb: 11.95/1.86799
Info:Filtering - Merging: Total cpu/real time for merge: 638.88/86.5675
Info:Filtering - Merging: Total cpu/real time for replay: 88.7/79.1041
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 197037
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 136161/45.990/58.446/69.860/2.650
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 116548/45.500/50.604/61.890/1.485
Info:Polynomial Selection (size optimized): Total time: 132371
Info:Filtering - Singleton removal: Total cpu/real time for purge: 861.26/759.216
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6820.37
Info:Polynomial Selection (root optimized): Rootsieve time: 6819.77
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 2345.96/1552.59
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 1352.4s
Info:Linear Algebra: Total cpu/real time for bwc: 274820/31478.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 170340.21, WCT time 19441.97, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.03, comm-wait 0.0 (132000 iterations)
Info:Linear Algebra: Lingen CPU time 207.36, WCT time 209.17
Info:Linear Algebra: Mksol: CPU time 92441.78,  WCT time 10542.35, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.03, comm-wait 0.0 (68000 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 164053384 
Info:Lattice Sieving: Average J: 7672.08 for 1326188 special-q, max bucket fill -bkmult 1.0,1s:1.112670
Info:Lattice Sieving: Total time: 3.02221e+06s
Info:Square Root: Total cpu/real time for sqrt: 6446.2/706.701
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 3.30476e+06/354614 [4d 02:30:14]
Info:root: Cleaning up computation data in /tmp/cado.dgnf2161
23366387882139712877167329171410170624202171528108712948520231 1736331335529167931046542720381866684489711442999189821398532176556692176452886042647788049311

END:Thu May 9 10:59:24 PM AEST 2024 (40571791477888213448151518652256424837305460044196217865837239165227989579850407400376448068157551066713152743437090467211606068265900340580469603509110841 - C155)

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 19, 2022 11:03:47 UTC 2022 年 3 月 19 日 (土) 20 時 3 分 47 秒 (日本時間)
4511e64480Ignacio SantosMarch 19, 2022 17:28:27 UTC 2022 年 3 月 20 日 (日) 2 時 28 分 27 秒 (日本時間)

737×10300-89

c238

name 名前anonymous
date 日付March 16, 2022 21:42:23 UTC 2022 年 3 月 17 日 (木) 6 時 42 分 23 秒 (日本時間)
composite number 合成数
5744258329913306190102264928630823791092719796543887027954554546670667710843495972946938355065550721910926857330516066589949487058471031535378935370291921268944046604392664957622286242651017100464152833176197400591182595422703277327349163<238>
prime factors 素因数
94162731081194938554357673784496919<35>
composite cofactor 合成数の残り
61003522985756741588924394272218919284552771532672092040051284348946210849105695359144537159973743497075354231081280285416527370883391959819416754327403815163098755466267247152122257424026673112452865677<203>
factorization results 素因数分解の結果
p35:94162731081194938554357673784496919
c203:61003522985756741588924394272218919284552771532672092040051284348946210849105695359144537159973743497075354231081280285416527370883391959819416754327403815163098755466267247152122257424026673112452865677
software ソフトウェア
ECM
execution environment 実行環境
factordb, March 5, 2022

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 19, 2022 10:35:28 UTC 2022 年 3 月 19 日 (土) 19 時 35 分 28 秒 (日本時間)
2350Ignacio SantosMarch 19, 2022 12:51:15 UTC 2022 年 3 月 19 日 (土) 21 時 51 分 15 秒 (日本時間)
4511e63694Taiyo KodamaApril 9, 2022 04:59:08 UTC 2022 年 4 月 9 日 (土) 13 時 59 分 8 秒 (日本時間)
5043e67000SyjApril 22, 2022 10:30:48 UTC 2022 年 4 月 22 日 (金) 19 時 30 分 48 秒 (日本時間)