Table of contents 目次

47×10101-29

c81

name 名前Dmitry Domanov
date 日付November 3, 2021 14:03:53 UTC 2021 年 11 月 3 日 (水) 23 時 3 分 53 秒 (日本時間)
composite number 合成数
266321353307515576647104761822529695990959535769229637353357373556184965683606441<81>
prime factors 素因数
220623113167869972854729318930866597<36>
1207132604936429570841780474327686106078454453<46>
factorization results 素因数分解の結果
P46 = 1207132604936429570841780474327686106078454453
P36 = 220623113167869972854729318930866597
software ソフトウェア
YAFU/SIQS

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)

47×10102-29

c101

name 名前Dmitry Domanov
date 日付November 3, 2021 13:48:35 UTC 2021 年 11 月 3 日 (水) 22 時 48 分 35 秒 (日本時間)
composite number 合成数
84229390681003584229390681003584229390681003584229390681003584229390681003584229390681003584229390681<101>
prime factors 素因数
2634000731495748625725246177799991900001469<43>
31977740049135416715354219080825370031243019902333976262349<59>
factorization results 素因数分解の結果
N=84229390681003584229390681003584229390681003584229390681003584229390681003584229390681003584229390681
  ( 101 digits)
SNFS difficulty: 103 digits.
Divisors found:
p43 factor: 2634000731495748625725246177799991900001469
p59 factor: 31977740049135416715354219080825370031243019902333976262349
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.25 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 84229390681003584229390681003584229390681003584229390681003584229390681003584229390681003584229390681
m: 10000000000000000000000000
deg: 4
c4: 2350
c0: -1
skew: 0.14
# Murphy_E = 2.324e-07
type: snfs
lss: 1
rlim: 370000
alim: 370000
lpbr: 25
lpba: 25
mfbr: 43
mfba: 43
rlambda: 2.2
alambda: 2.2
Factor base limits: 370000/370000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [185000, 305001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 28719 x 28944
Total sieving time: 0.23 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,103.000,4,0,0,0,0,0,0,0,0,370000,370000,25,25,43,43,2.2,2.2,10000
total time: 0.25 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
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)

47×10105-29

c86

name 名前Dmitry Domanov
date 日付November 3, 2021 13:59:15 UTC 2021 年 11 月 3 日 (水) 22 時 59 分 15 秒 (日本時間)
composite number 合成数
21343836559200739469749525584163443370793451925706501257786092743722308387995268144521<86>
prime factors 素因数
60979081861268806061923897851288737239669<41>
350018988605950015122412413325073153576637509<45>
factorization results 素因数分解の結果
P45 = 350018988605950015122412413325073153576637509
P41 = 60979081861268806061923897851288737239669
software ソフトウェア
YAFU/SIQS

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)

47×10106-29

c77

name 名前Dmitry Domanov
date 日付November 3, 2021 13:47:44 UTC 2021 年 11 月 3 日 (水) 22 時 47 分 44 秒 (日本時間)
composite number 合成数
12715003336154476580726557964311836709236335324332356123388279442399731379119<77>
prime factors 素因数
23521981424805272188510072526241139<35>
540558344406554956035786636076142657636821<42>
factorization results 素因数分解の結果
PRP42 = 540558344406554956035786636076142657636821
PRP35 = 23521981424805272188510072526241139

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)

47×10110-29

c109

name 名前Dmitry Domanov
date 日付November 3, 2021 13:58:42 UTC 2021 年 11 月 3 日 (水) 22 時 58 分 42 秒 (日本時間)
composite number 合成数
1706608569353667392883079157588961510530137981118373275236020334059549745824255628177196804647785039941902687<109>
prime factors 素因数
7320940419263502336369352737259991606094676182689<49>
233113298513274172035857003107166520336366892222798015555583<60>
factorization results 素因数分解の結果
N=1706608569353667392883079157588961510530137981118373275236020334059549745824255628177196804647785039941902687
  ( 109 digits)
SNFS difficulty: 111 digits.
Divisors found:
p49 factor: 7320940419263502336369352737259991606094676182689
p60 factor: 233113298513274172035857003107166520336366892222798015555583
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.43 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1706608569353667392883079157588961510530137981118373275236020334059549745824255628177196804647785039941902687
m: 1000000000000000000000000000
deg: 4
c4: 2350
c0: -1
skew: 0.14
# Murphy_E = 1.007e-07
type: snfs
lss: 1
rlim: 500000
alim: 500000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 500000/500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [250000, 490001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 45899 x 46124
Total sieving time: 0.42 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,111.000,4,0,0,0,0,0,0,0,0,500000,500000,25,25,44,44,2.2,2.2,20000
total time: 0.43 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
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)

47×10117-29

c99

name 名前Dmitry Domanov
date 日付November 3, 2021 14:11:22 UTC 2021 年 11 月 3 日 (水) 23 時 11 分 22 秒 (日本時間)
composite number 合成数
964898805779308927479362220931206562755599936815353966516554220952640909703004969189301826157452869<99>
prime factors 素因数
63942738453815878682681113476447110506339829<44>
15090045079571144737851459080883521104316203697496767761<56>
factorization results 素因数分解の結果
N=964898805779308927479362220931206562755599936815353966516554220952640909703004969189301826157452869
  ( 99 digits)
SNFS difficulty: 118 digits.
Divisors found:
p44 factor: 63942738453815878682681113476447110506339829
p56 factor: 15090045079571144737851459080883521104316203697496767761
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.79 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 964898805779308927479362220931206562755599936815353966516554220952640909703004969189301826157452869
m: 100000000000000000000000000000
deg: 4
c4: 235
c0: -1
skew: 0.26
# Murphy_E = 6.037e-08
type: snfs
lss: 1
rlim: 660000
alim: 660000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 660000/660000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [330000, 530001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 50392 x 50617
Total sieving time: 0.77 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,118.000,4,0,0,0,0,0,0,0,0,660000,660000,25,25,45,45,2.2,2.2,50000
total time: 0.79 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
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)

47×10120-29

c110

name 名前Dmitry Domanov
date 日付November 3, 2021 14:29:36 UTC 2021 年 11 月 3 日 (水) 23 時 29 分 36 秒 (日本時間)
composite number 合成数
54799362618859559875856285317727100570263951674220627903156431051664364908669547028754551904237672462480723509<110>
prime factors 素因数
8696797029459042708455126032628753484863<40>
6301097108882186284809550008438354610376287002418755628070777972168843<70>
factorization results 素因数分解の結果
N=54799362618859559875856285317727100570263951674220627903156431051664364908669547028754551904237672462480723509
  ( 110 digits)
SNFS difficulty: 121 digits.
Divisors found:
p40 factor: 8696797029459042708455126032628753484863
p70 factor: 6301097108882186284809550008438354610376287002418755628070777972168843
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.14 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 54799362618859559875856285317727100570263951674220627903156431051664364908669547028754551904237672462480723509
m: 1000000000000000000000000000000
deg: 4
c4: 47
c0: -2
skew: 0.45
# Murphy_E = 3.819e-08
type: snfs
lss: 1
rlim: 750000
alim: 750000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 750000/750000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [375000, 675001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 64727 x 64953
Total sieving time: 1.12 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,121.000,4,0,0,0,0,0,0,0,0,750000,750000,25,25,46,46,2.2,2.2,75000
total time: 1.14 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
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)

47×10126-29

c94

name 名前Dmitry Domanov
date 日付November 3, 2021 14:24:59 UTC 2021 年 11 月 3 日 (水) 23 時 24 分 59 秒 (日本時間)
composite number 合成数
2419094872915888590650522534720809627582098993899402426606286943599561605964941955576179573009<94>
prime factors 素因数
15433016579760911321234226531884298295533017<44>
156748025275131614542248992883084605534582455837177<51>
factorization results 素因数分解の結果
P44 = 15433016579760911321234226531884298295533017
P51 = 156748025275131614542248992883084605534582455837177
software ソフトウェア
YAFU/SIQS

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)

47×10128-29

c125

name 名前Dmitry Domanov
date 日付November 3, 2021 15:14:30 UTC 2021 年 11 月 4 日 (木) 0 時 14 分 30 秒 (日本時間)
composite number 合成数
37727367592993947566986145226283934563084974875178602963605130921992647176869110115750774615100579556583024290003050297805391<125>
prime factors 素因数
15151274322268526795878748597130427187746777996508050657871<59>
2490045839744601222199976451133749540398255344559916826567772293121<67>
factorization results 素因数分解の結果
N=37727367592993947566986145226283934563084974875178602963605130921992647176869110115750774615100579556583024290003050297805391
  ( 125 digits)
SNFS difficulty: 129 digits.
Divisors found:
p59 factor: 15151274322268526795878748597130427187746777996508050657871
p67 factor: 2490045839744601222199976451133749540398255344559916826567772293121
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 2.38 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 37727367592993947566986145226283934563084974875178602963605130921992647176869110115750774615100579556583024290003050297805391
m: 100000000000000000000000000000000
deg: 4
c4: 47
c0: -2
skew: 0.45
# Murphy_E = 1.573e-08
type: snfs
lss: 1
rlim: 1010000
alim: 1010000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1010000/1010000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [505000, 1005001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 109508 x 109733
Total sieving time: 2.33 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,129.000,4,0,0,0,0,0,0,0,0,1010000,1010000,26,26,47,47,2.3,2.3,100000
total time: 2.38 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
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)

47×10132-29

c119

name 名前Dmitry Domanov
date 日付November 3, 2021 16:58:26 UTC 2021 年 11 月 4 日 (木) 1 時 58 分 26 秒 (日本時間)
composite number 合成数
49085082467583366603740555882214043322607944368739817129976888318211045159925516095230223327051705800339836921124781861<119>
prime factors 素因数
114682968541618198870767743946492858224058869937643297<54>
428006731006186828471377401411871227107206217138407580335131227013<66>
factorization results 素因数分解の結果
N=48940234186012042094194569591614720103809228170558114430657281328042194871622774268063840438057044736967215636264993190315986117753
  ( 131 digits)
SNFS difficulty: 136 digits.
Divisors found:
p54 factor: 114682968541618198870767743946492858224058869937643297
p66 factor: 428006731006186828471377401411871227107206217138407580335131227013
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 3.83 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 48940234186012042094194569591614720103809228170558114430657281328042194871622774268063840438057044736967215636264993190315986117753
m: 10000000000000000000000000000000000
deg: 4
c4: 7
c0: -52
skew: 1.65
# Murphy_E = 7.841e-09
type: snfs
lss: 1
rlim: 1340000
alim: 1340000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1340000/1340000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [670000, 1470001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 162682 x 162908
Total sieving time: 3.76 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,136.000,4,0,0,0,0,0,0,0,0,1340000,1340000,26,26,48,48,2.3,2.3,100000
total time: 3.83 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)

47×10133-29

c100

name 名前Dmitry Domanov
date 日付November 3, 2021 16:56:25 UTC 2021 年 11 月 4 日 (木) 1 時 56 分 25 秒 (日本時間)
composite number 合成数
1436867732195828651660080751277587699146516577359255760218440313226558289934260452255517240918736073<100>
prime factors 素因数
157381439130806291692386354197872856543<39>
9129842376149501509513833585520742473243651337522972923738711<61>
factorization results 素因数分解の結果
N=1436867732195828651660080751277587699146516577359255760218440313226558289934260452255517240918736073
  ( 100 digits)
SNFS difficulty: 134 digits.
Divisors found:
p39 factor: 157381439130806291692386354197872856543
p61 factor: 9129842376149501509513833585520742473243651337522972923738711
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 2.90 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1436867732195828651660080751277587699146516577359255760218440313226558289934260452255517240918736073
m: 1000000000000000000000000000000000
deg: 4
c4: 235
c0: -1
skew: 0.26
# Murphy_E = 1.022e-08
type: snfs
lss: 1
rlim: 1220000
alim: 1220000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1220000/1220000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [610000, 1210001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 146327 x 146552
Total sieving time: 2.83 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,134.000,4,0,0,0,0,0,0,0,0,1220000,1220000,26,26,47,47,2.3,2.3,100000
total time: 2.90 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
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)

47×10134-29

c83

name 名前Dmitry Domanov
date 日付November 3, 2021 13:49:11 UTC 2021 年 11 月 3 日 (水) 22 時 49 分 11 秒 (日本時間)
composite number 合成数
27337129785991323543689247666635712657350265847296341357904315835400280590381038253<83>
prime factors 素因数
83590694724546490893512305780980677<35>
327035561506868875337941260732955178030243654089<48>
factorization results 素因数分解の結果
P35 = 83590694724546490893512305780980677
P48 = 327035561506868875337941260732955178030243654089

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)

47×10135-29

c109

name 名前Dmitry Domanov
date 日付November 3, 2021 18:06:38 UTC 2021 年 11 月 4 日 (木) 3 時 6 分 38 秒 (日本時間)
composite number 合成数
3171215902469889245341720855715624012077323137377250538310869002163746094450626278273653357413663098600811233<109>
prime factors 素因数
882992406755807246595732025548386239781025560049408493<54>
3591441872214075930110523808254043518806092668885018181<55>
factorization results 素因数分解の結果
N=3171215902469889245341720855715624012077323137377250538310869002163746094450626278273653357413663098600811233
  ( 109 digits)
SNFS difficulty: 137 digits.
Divisors found:
p54 factor: 882992406755807246595732025548386239781025560049408493
p55 factor: 3591441872214075930110523808254043518806092668885018181
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 3.83 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 3171215902469889245341720855715624012077323137377250538310869002163746094450626278273653357413663098600811233
m: 5000000000000000000000000000000000
deg: 4
c4: 188
c0: -5
skew: 0.40
# Murphy_E = 7.395e-09
type: snfs
lss: 1
rlim: 1350000
alim: 1350000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1350000/1350000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [675000, 1475001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 167579 x 167805
Total sieving time: 3.76 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,137.000,4,0,0,0,0,0,0,0,0,1350000,1350000,26,26,48,48,2.3,2.3,100000
total time: 3.83 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)

47×10137-29

c113

name 名前Dmitry Domanov
date 日付November 3, 2021 19:40:48 UTC 2021 年 11 月 4 日 (木) 4 時 40 分 48 秒 (日本時間)
composite number 合成数
16648012404875284463133099873543516892526957634587787013653692965530316619652524789958588411697195878068272563449<113>
prime factors 素因数
494382109787749384435526542974814268270625800010179<51>
33674382780604041147585241181079023518360214187830816395370131<62>
factorization results 素因数分解の結果
N=16648012404875284463133099873543516892526957634587787013653692965530316619652524789958588411697195878068272563449
  ( 113 digits)
SNFS difficulty: 138 digits.
Divisors found:
p51 factor: 494382109787749384435526542974814268270625800010179
p62 factor: 33674382780604041147585241181079023518360214187830816395370131
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 5.93 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 16648012404875284463133099873543516892526957634587787013653692965530316619652524789958588411697195878068272563449
m: 10000000000000000000000000000000000
deg: 4
c4: 235
c0: -1
skew: 0.26
# Murphy_E = 6.475e-09
type: snfs
lss: 1
rlim: 1420000
alim: 1420000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1420000/1420000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [710000, 1110001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 156472 x 156697
Total sieving time: 5.88 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,138.000,4,0,0,0,0,0,0,0,0,1420000,1420000,26,26,48,48,2.3,2.3,100000
total time: 5.93 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)

47×10139-29

c125

name 名前Dmitry Domanov
date 日付November 3, 2021 21:31:04 UTC 2021 年 11 月 4 日 (木) 6 時 31 分 4 秒 (日本時間)
composite number 合成数
44220145192311008860734349209004459606926614525425494815256813482618320216800171854728362778308852734866437245587473199651187<125>
prime factors 素因数
3245797336804388968188017096239698043<37>
13623815846693442997215231582440361042068356466476025918861639756637930956156475128501609<89>
factorization results 素因数分解の結果
N=44220145192311008860734349209004459606926614525425494815256813482618320216800171854728362778308852734866437245587473199651187
  ( 125 digits)
SNFS difficulty: 141 digits.
Divisors found:
p37 factor: 3245797336804388968188017096239698043
p89 factor: 13623815846693442997215231582440361042068356466476025918861639756637930956156475128501609
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 6.66 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 44220145192311008860734349209004459606926614525425494815256813482618320216800171854728362778308852734866437245587473199651187
m: 50000000000000000000000000000000000
deg: 4
c4: 188
c0: -5
skew: 0.40
# Murphy_E = 4.673e-09
type: snfs
lss: 1
rlim: 1570000
alim: 1570000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1570000/1570000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [785000, 1285001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 179890 x 180115
Total sieving time: 6.56 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,141.000,4,0,0,0,0,0,0,0,0,1570000,1570000,26,26,48,48,2.3,2.3,100000
total time: 6.66 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)

47×10140-29

c139

name 名前Dmitry Domanov
date 日付November 3, 2021 23:41:27 UTC 2021 年 11 月 4 日 (木) 8 時 41 分 27 秒 (日本時間)
composite number 合成数
3784219001610305958132045088566827697262479871175523349436392914653784219001610305958132045088566827697262479871175523349436392914653784219<139>
prime factors 素因数
473070493408943273552216244244112124202170932790383<51>
7999270836659554575427115374236503126845341165045604114843493129700990788839014159494293<88>
factorization results 素因数分解の結果
N=3784219001610305958132045088566827697262479871175523349436392914653784219001610305958132045088566827697262479871175523349436392914653784219
  ( 139 digits)
SNFS difficulty: 141 digits.
Divisors found:
p51 factor: 473070493408943273552216244244112124202170932790383
p88 factor: 7999270836659554575427115374236503126845341165045604114843493129700990788839014159494293
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 8.04 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 3784219001610305958132045088566827697262479871175523349436392914653784219001610305958132045088566827697262479871175523349436392914653784219
m: 100000000000000000000000000000000000
deg: 4
c4: 47
c0: -2
skew: 0.45
# Murphy_E = 4.009e-09
type: snfs
lss: 1
rlim: 1610000
alim: 1610000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1610000/1610000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [805000, 1405001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 188348 x 188574
Total sieving time: 7.96 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,141.000,4,0,0,0,0,0,0,0,0,1610000,1610000,26,26,48,48,2.3,2.3,100000
total time: 8.04 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)

47×10146-29

c108

name 名前Dmitry Domanov
date 日付November 4, 2021 10:36:50 UTC 2021 年 11 月 4 日 (木) 19 時 36 分 50 秒 (日本時間)
composite number 合成数
441930643147709377634706754849330241843473637210862316476974091471969117485885677034245185975477260424291611<108>
prime factors 素因数
155764823504530731663047802252962082655000249<45>
2837165883829059391779321939540566156871531595162333860868993139<64>
factorization results 素因数分解の結果
N=441930643147709377634706754849330241843473637210862316476974091471969117485885677034245185975477260424291611
  ( 108 digits)
Divisors found:
p45 factor: 155764823504530731663047802252962082655000249
p64 factor: 2837165883829059391779321939540566156871531595162333860868993139
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 6.57 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 441930643147709377634706754849330241843473637210862316476974091471969117485885677034245185975477260424291611
skew: 3103645.75
c0: -50451771706226240152113135153
c1: 10695079279011758668816
c2: -174093766547528441
c3: -6544993550
c4: 10920
Y0: -79759592801418351010575506
Y1: 71847071329777
rlim: 2920000
alim: 2920000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 2920000/2920000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1460000, 2360001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 370962 x 371189
Total sieving time: 6.42 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,107,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2920000,2920000,26,26,52,52,2.5,2.5,150000
total time: 6.57 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)

47×10147-29

c107

name 名前Dmitry Domanov
date 日付November 4, 2021 13:58:55 UTC 2021 年 11 月 4 日 (木) 22 時 58 分 55 秒 (日本時間)
composite number 合成数
77089165068149212682707058793743706095259508664938969878378863884692640310332313139233345665194359108301739<107>
prime factors 素因数
222485662373192928453110755565149992540144626733377<51>
346490485031082200222047369576681524978537087254756515307<57>
factorization results 素因数分解の結果
N=77089165068149212682707058793743706095259508664938969878378863884692640310332313139233345665194359108301739
  ( 107 digits)
p51 factor: 222485662373192928453110755565149992540144626733377
p57 factor: 346490485031082200222047369576681524978537087254756515307
Divisors found:
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 10.44 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 77089165068149212682707058793743706095259508664938969878378863884692640310332313139233345665194359108301739
skew: 34058744.21
c0: 17974640020823326037960403142095
c1: 391061934935924148934212
c2: -114429327272100443
c3: -840664272
c4: 48
Y0: -200188241313390625221914486
Y1: 56646097308943
rlim: 2780000
alim: 2780000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 1000
Factor base limits: 2780000/2780000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1390000, 2741001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 319239 x 319466
Total sieving time: 10.32 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,106,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2780000,2780000,26,26,52,52,2.5,2.5,150000
total time: 10.44 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
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)

47×10152-29

c106

name 名前Dmitry Domanov
date 日付November 4, 2021 10:38:39 UTC 2021 年 11 月 4 日 (木) 19 時 38 分 39 秒 (日本時間)
composite number 合成数
2508961278005349910176902580019285785884957684874681156197854054529754258441019350676952059070381844443567<106>
prime factors 素因数
42029435937964607578092480566926491858395823793669<50>
59695335471753022617874700386569301980373017114095678243<56>
factorization results 素因数分解の結果
N=2508961278005349910176902580019285785884957684874681156197854054529754258441019350676952059070381844443567
  ( 106 digits)
Divisors found:
p50 factor: 42029435937964607578092480566926491858395823793669
p56 factor: 59695335471753022617874700386569301980373017114095678243
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 6.12 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 2508961278005349910176902580019285785884957684874681156197854054529754258441019350676952059070381844443567
skew: 1770916.90
c0: 104238699995605190580411915497
c1: -14396963244867019438367
c2: -91058111363592269
c3: 7373547695
c4: 35700
Y0: -16281945842622172775250330
Y1: 94246882777429
rlim: 2640000
alim: 2640000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 2640000/2640000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1320000, 2070001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 248005 x 248232
Total sieving time: 6.03 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,105,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2640000,2640000,26,26,52,52,2.5,2.5,150000
total time: 6.12 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)

47×10157-29

c157

name 名前Dmitry Domanov
date 日付November 4, 2021 06:47:52 UTC 2021 年 11 月 4 日 (木) 15 時 47 分 52 秒 (日本時間)
composite number 合成数
2008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547<157>
prime factors 素因数
1639752130939600397871470100165926056439820529866091919249<58>
1224908918030241339141312956119818380857832969441801650254198228352590607480375464455563093805849203<100>
factorization results 素因数分解の結果
N=2008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547
  ( 157 digits)
SNFS difficulty: 158 digits.
Divisors found:
p58 factor: 1639752130939600397871470100165926056439820529866091919249
p100 factor: 1224908918030241339141312956119818380857832969441801650254198228352590607480375464455563093805849203
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 13.91 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 2008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547
m: 10000000000000000000000000000000
deg: 5
c5: 2350
c0: -1
skew: 0.21
# Murphy_E = 7.663e-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 rational special-q in [1550000, 2450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 491301 x 491526
Total sieving time: 13.58 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.24 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,158.000,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000
total time: 13.91 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
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)

47×10158-29

c137

name 名前Jiahao He
date 日付November 5, 2021 17:03:39 UTC 2021 年 11 月 6 日 (土) 2 時 3 分 39 秒 (日本時間)
composite number 合成数
28522176995551773722711488708886378450748906431406251935434550303653631157315949717022583440299949579285215897539498361969841014463890263<137>
prime factors 素因数
188300647260376061092630909731815886283155811953040265175403393<63>
151471476123564394347361439480996272843303130685745375585148952429284645591<75>
factorization results 素因数分解の結果
Number: 52222_158
N = 28522176995551773722711488708886378450748906431406251935434550303653631157315949717022583440299949579285215897539498361969841014463890263 (137 digits)
SNFS difficulty: 160 digits.
Divisors found:
r1=188300647260376061092630909731815886283155811953040265175403393 (pp63)
r2=151471476123564394347361439480996272843303130685745375585148952429284645591 (pp75)
Version: Msieve v. 1.53 (SVN 1005)
Total time: 13.96 hours.
Factorization parameters were as follows:
n: 28522176995551773722711488708886378450748906431406251935434550303653631157315949717022583440299949579285215897539498361969841014463890263
m: 10000000000000000000000000000000
deg: 5
c5: 23500
c0: -1
skew: 0.13
# Murphy_E = 5.661e-10
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Sieved rational special-q in [0, 0)
Total raw relations: 7939626
Relations: 950838 relations
Pruned matrix : 557018 x 557243
Total sieving time: 13.61 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.18 hours.
time per square root: 0.12 hours.
Prototype def-par.txt line would be: snfs,160,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,50,50,2.4,2.4,100000
total time: 13.96 hours.
Intel64 Family 6 Model 78 Stepping 3, GenuineIntel
processors: 4, speed: 2.40GHz
Windows-10-10.0.17763-SP0
Running Python 3.8

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)

47×10160-29

c161

name 名前Eric Jeancolas
date 日付November 3, 2021 21:43:54 UTC 2021 年 11 月 4 日 (木) 6 時 43 分 54 秒 (日本時間)
composite number 合成数
26111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<161>
prime factors 素因数
316877054878354656130826456532042548719<39>
composite cofactor 合成数の残り
82401394197301085885000803100220256170003552755315602823678304028097202266024175352724740516722871447319877111745442310569<122>
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 26111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 (161 digits)
Run 1033 out of 1200:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:1296693022
Step 1 took 1965ms
Step 2 took 1181ms
********** Factor found in step 2: 316877054878354656130826456532042548719
Found prime factor of 39 digits: 316877054878354656130826456532042548719
Composite cofactor 82401394197301085885000803100220256170003552755315602823678304028097202266024175352724740516722871447319877111745442310569 has 122 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-72-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)

c122

name 名前Bob Backstrom
date 日付November 7, 2021 05:17:43 UTC 2021 年 11 月 7 日 (日) 14 時 17 分 43 秒 (日本時間)
composite number 合成数
82401394197301085885000803100220256170003552755315602823678304028097202266024175352724740516722871447319877111745442310569<122>
prime factors 素因数
249306668406383007873138167173771828955334533<45>
330522222787007328740606635122676892013485159223296586509865816598552142203093<78>
factorization results 素因数分解の結果
#
# N = 47x10^160-2 = 52(160)
#
n: 82401394197301085885000803100220256170003552755315602823678304028097202266024175352724740516722871447319877111745442310569
m: 100000000000000000000000000000000
deg: 5
c5: 47
c0: -2
skew: 0.53
# Murphy_E = 6.041e-10
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4

CADO

STA:Sun 07 Nov 2021 14:11:35 AEDT (82,401,394,197,301,085,885,000,803,100,220,256,170,003,552,755,315,602,823,678,304,028,097,202,266,024,175,352,724,740,516,722,871,447,319,877,111,745,442,310,569 - C122)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 82401394197301085885000803100220256170003552755315602823678304028097202266024175352724740516722871447319877111745442310569 2>&1 | tee -a log58

Debug:root: Looking for parameter file for c122 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c120
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c120
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.n0rnu5v9
Info:Database: Opened connection to database /tmp/cado.n0rnu5v9/c120.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 8240139419730108588500080310022025617000355275531560282367830402809720226602417535272
4740516722871447319877111745442310569
Debug:root: Root parameter dictionary:
N = 82401394197301085885000803100220256170003552755315602823678304028097202266024175352724740516722871447319877111745442310569
lim0 = 5667620
lim1 = 18220697
lpb0 = 26
lpb1 = 27
name = c120
...
n: 82401394197301085885000803100220256170003552755315602823678304028097202266024175352724740516722871447319877111745442310569
skew: 280358.851
c0: 35202621004031684472411126790
c1: -10521573494929212225704377
c2: 22526825740439828926
c3: -246748199336133
c4: -522929626
c5: 840
Y0: -722898287076121910595064
Y1: 7165267672596983
# MurphyE (Bf=1.82e+07,Bg=5.67e+06,area=2.45e+15) = 1.48e-09
# f(x) = 840*x^5-522929626*x^4-246748199336133*x^3+22526825740439828926*x^2-10521573494929212225704377*x+35202621004031684472411126790
# g(x) = 7165267672596983*x-722898287076121910595064
...
Info:Square Root: finished
Info:Square Root: Factors: 249306668406383007873138167173771828955334533 330522222787007328740606635122676892013485159223296586509865816598552142203093
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 10356.5
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 10610/37.550/43.645/48.550/1.057
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 10610/35.380/38.878/44.140/1.187
Info:Polynomial Selection (size optimized): Total time: 1131.42
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 542.52
Info:Polynomial Selection (root optimized): Rootsieve time: 541.64
Info:Generate Factor Base: Total cpu/real time for makefb: 23.38/2.10888
Info:Generate Free Relations: Total cpu/real time for freerel: 150.29/10.0008
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 10802729
Info:Lattice Sieving: Average J: 8192 for 24149 special-q, max bucket fill: 0.679651
Info:Lattice Sieving: Total CPU time: 74749.6s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 27.22/37.1417
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 36.6s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 228.4/119.254
Info:Filtering - Singleton removal: Total cpu/real time for purge: 172.7/97.4268
Info:Filtering - Merging: Total cpu/real time for merge: 468.43/381.603
Info:Filtering - Merging: Total cpu/real time for replay: 36.42/28.2338
Info:Linear Algebra: Total cpu/real time for bwc: 20275/0.000314236
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 850.28
Info:Linear Algebra: Lingen CPU time 221.26, WCT time 21.75
Info:Linear Algebra: Mksol: WCT time 459.29
Info:Quadratic Characters: Total cpu/real time for characters: 36.22/8.63754
Info:Square Root: Total cpu/real time for sqrt: 798.61/114.959
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 98640.2/7085.26
Info:root: Cleaning up computation data in /tmp/cado.n0rnu5v9
249306668406383007873138167173771828955334533 330522222787007328740606635122676892013485159223296586509865816598552142203093

END:Sun 07 Nov 2021 16:09:41 AEDT (82,401,394,197,301,085,885,000,803,100,220,256,170,003,552,755,315,602,823,678,304,028,097,202,266,024,175,352,724,740,516,722,871,447,319,877,111,745,442,310,569 - C122)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)

47×10162-29

c114

name 名前Eric Jeancolas
date 日付November 4, 2021 08:38:50 UTC 2021 年 11 月 4 日 (木) 17 時 38 分 50 秒 (日本時間)
composite number 合成数
114860476467419669861207283804376477499503864229352111380069957905506342561762793675526675351232708971270318436331<114>
prime factors 素因数
62729596807864599210348193951354419139944455614717<50>
1831041204030491467368622945178460555780828075960065756441185543<64>
factorization results 素因数分解の結果
114860476467419669861207283804376477499503864229352111380069957905506342561762793675526675351232708971270318436331=62729596807864599210348193951354419139944455614717*1831041204030491467368622945178460555780828075960065756441185543

cado polynomial
n: 114860476467419669861207283804376477499503864229352111380069957905506342561762793675526675351232708971270318436331
skew: 7114.566
c0: -2549011507034363771948184
c1: 577629658351858058726
c2: -68417594797830425
c3: -31309320606005
c4: 2351676822
c5: 201960
Y0: -6598442795468139835963
Y1: 157499529174403
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.238e-06
# f(x) = 201960*x^5+2351676822*x^4-31309320606005*x^3-68417594797830425*x^2+577629658351858058726*x-2549011507034363771948184
# g(x) = 157499529174403*x-6598442795468139835963

cado parameters (extracts)
tasks.lim0 = 2500000
tasks.lim1 = 4500000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1831041204030491467368622945178460555780828075960065756441185543 62729596807864599210348193951354419139944455614717
Info:Square Root: Total cpu/real time for sqrt: 261.41/70.2243
Info:Filtering - Singleton removal: Total cpu/real time for purge: 76.14/88.2159
Info:Generate Factor Base: Total cpu/real time for makefb: 4.22/1.13111
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 26.75/28.8701
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 28.299999999999997s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 404.84
Info:Polynomial Selection (root optimized): Rootsieve time: 403.75
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 108.35/111.172
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 84.8s
Info:Filtering - Merging: Merged matrix has 421784 rows and total weight 65394827 (155.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 69.4/20.5306
Info:Filtering - Merging: Total cpu/real time for replay: 14.43/11.689
Info:Linear Algebra: Total cpu/real time for bwc: 2348.37/606.82
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1450.98, WCT time 371.96, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13312 iterations)
Info:Linear Algebra: Lingen CPU time 65.72, WCT time 16.74
Info:Linear Algebra: Mksol: CPU time 796.44,  WCT time 203.72, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6656 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 64.17/16.9658
Info:Quadratic Characters: Total cpu/real time for characters: 15.56/6.09694
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21492.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21570/32.720/40.249/46.000/1.079
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16678/32.440/35.652/40.720/0.823
Info:Polynomial Selection (size optimized): Total time: 1804.26
Info:Square Root: Total cpu/real time for sqrt: 261.41/70.2243
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6763796
Info:Lattice Sieving: Average J: 1900.98 for 114684 special-q, max bucket fill -bkmult 1.0,1s:1.271160
Info:Lattice Sieving: Total time: 13306.8s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 29532.6/8152.97
Info:root: Cleaning up computation data in /tmp/cado.cj0ljh2p
1831041204030491467368622945178460555780828075960065756441185543 62729596807864599210348193951354419139944455614717
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-72-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
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)

47×10165-29

c144

name 名前Eric Jeancolas
date 日付November 8, 2021 18:54:16 UTC 2021 年 11 月 9 日 (火) 3 時 54 分 16 秒 (日本時間)
composite number 合成数
624905184439563431695914001976461353383252751400392990718452676657092503628151468415836632232358451000427509903648880745894168038735187341404133<144>
prime factors 素因数
118405656928471761372370677659523263<36>
648978211675323038511064023572196390444166883<45>
8132265702275744394848583728814840922734741351955060857351681577<64>
factorization results 素因数分解の結果
624905184439563431695914001976461353383252751400392990718452676657092503628151468415836632232358451000427509903648880745894168038735187341404133=118405656928471761372370677659523263*8132265702275744394848583728814840922734741351955060857351681577 648978211675323038511064023572196390444166883

cado polynomial
n: 624905184439563431695914001976461353383252751400392990718452676657092503628151468415836632232358451000427509903648880745894168038735187341404133
skew: 0.53
type: snfs
c0: -2
c5: 47
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 47*x^5-2
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 4200000
tasks.lim1 = 4200000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 51
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 118405656928471761372370677659523263 8132265702275744394848583728814840922734741351955060857351681577 648978211675323038511064023572196390444166883
Info:Square Root: Total cpu/real time for sqrt: 173.23/53.5675
Info:Filtering - Singleton removal: Total cpu/real time for purge: 69.2/66.446
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11624611
Info:Lattice Sieving: Average J: 1893.55 for 308067 special-q, max bucket fill -bkmult 1.0,1s:1.247640
Info:Lattice Sieving: Total time: 39618.7s
Info:Generate Factor Base: Total cpu/real time for makefb: 1.81/0.98
Info:Linear Algebra: Total cpu/real time for bwc: 3668.41/946.37
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 2293.04, WCT time 586.22, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (15616 iterations)
Info:Linear Algebra: Lingen CPU time 78.48, WCT time 20.02
Info:Linear Algebra: Mksol: CPU time 1249.81,  WCT time 320.39, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7808 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 59.72/17.1264
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.19/48.9617
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 48.9s
Info:Filtering - Merging: Merged matrix has 497813 rows and total weight 84989500 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 105.23/29.458
Info:Filtering - Merging: Total cpu/real time for replay: 16.34/13.6007
Info:Quadratic Characters: Total cpu/real time for characters: 16.14/6.38535
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 102.75/86.8054
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 78.4s
Info:Square Root: Total cpu/real time for sqrt: 173.23/53.5675
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 77141.4/21247.3
Info:root: Cleaning up computation data in /tmp/cado.g_ixcbw0
118405656928471761372370677659523263 8132265702275744394848583728814840922734741351955060857351681577 648978211675323038511064023572196390444166883
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-89-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
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)

47×10166-29

c164

name 名前Eric Jeancolas
date 日付November 9, 2021 03:10:32 UTC 2021 年 11 月 9 日 (火) 12 時 10 分 32 秒 (日本時間)
composite number 合成数
25624250354377930432886271944171846036419147312179696870570275869588921600697851924544760658597753789117871551630138479991276850943190491767528077636026605604623269<164>
prime factors 素因数
308443311473168026894784436854567907637410408719<48>
83076044774623114600968234239626342501288075954755724831819760775455648033406354047431382635995504107350450249789451<116>
factorization results 素因数分解の結果
25624250354377930432886271944171846036419147312179696870570275869588921600697851924544760658597753789117871551630138479991276850943190491767528077636026605604623269=308443311473168026894784436854567907637410408719*83076044774623114600968234239626342501288075954755724831819760775455648033406354047431382635995504107350450249789451

cado polynomial
n: 25624250354377930432886271944171846036419147312179696870570275869588921600697851924544760658597753789117871551630138479991276850943190491767528077636026605604623269
skew: 0.34
type: snfs
c0: -1
c5: 235
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 235*x^5-1
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 4300000
tasks.lim1 = 4300000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 51
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 83076044774623114600968234239626342501288075954755724831819760775455648033406354047431382635995504107350450249789451 308443311473168026894784436854567907637410408719
Info:Square Root: Total cpu/real time for sqrt: 235.91/71.8033
Info:Filtering - Singleton removal: Total cpu/real time for purge: 59.15/60.6297
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11620306
Info:Lattice Sieving: Average J: 1893.3 for 430756 special-q, max bucket fill -bkmult 1.0,1s:1.243810
Info:Lattice Sieving: Total time: 53152.8s
Info:Generate Factor Base: Total cpu/real time for makefb: 1.85/1.01201
Info:Linear Algebra: Total cpu/real time for bwc: 5653.76/1458.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 3527.07, WCT time 904.09, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (19200 iterations)
Info:Linear Algebra: Lingen CPU time 103.43, WCT time 26.27
Info:Linear Algebra: Mksol: CPU time 1930.69,  WCT time 493.73, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9728 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.65/51.5818
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 51.5s
Info:Filtering - Merging: Merged matrix has 612695 rows and total weight 104398259 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 131.85/36.9216
Info:Filtering - Merging: Total cpu/real time for replay: 20.54/17.1111
Info:Quadratic Characters: Total cpu/real time for characters: 20.21/7.98579
Info:Square Root: Total cpu/real time for sqrt: 235.91/71.8033
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 102.97/88.3852
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 78.8s
Info:Generate Free Relations: Total cpu/real time for freerel: 59.57/16.9305
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 104448/28589.7
Info:root: Cleaning up computation data in /tmp/cado.yfuxhpb8
83076044774623114600968234239626342501288075954755724831819760775455648033406354047431382635995504107350450249789451 308443311473168026894784436854567907637410408719
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-89-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
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)

47×10167-29

c134

name 名前Eric Jeancolas
date 日付November 9, 2021 03:03:55 UTC 2021 年 11 月 9 日 (火) 12 時 3 分 55 秒 (日本時間)
composite number 合成数
27641675612007201816124875646451455597182910595914113663142139020242397657562356321554082652692261209954319261766075742715418660436109<134>
prime factors 素因数
4405433540297018012785846645522889706378228755059218603709083418111<67>
6274450711641782464485956612222771900100231052440376220749756572019<67>
factorization results 素因数分解の結果
27641675612007201816124875646451455597182910595914113663142139020242397657562356321554082652692261209954319261766075742715418660436109=4405433540297018012785846645522889
706378228755059218603709083418111*6274450711641782464485956612222771900100231052440376220749756572019

cado polynomial
n: 27641675612007201816124875646451455597182910595914113663142139020242397657562356321554082652692261209954319261766075742715418660436109
skew: 0.21
type: snfs
c0: -1
c5: 2350
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 2350*x^5-1
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 4500000
tasks.lim1 = 4500000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 6274450711641782464485956612222771900100231052440376220749756572019 4405433540297018012785846645522889706378228755059218603709083418111
Info:Square Root: Total cpu/real time for sqrt: 277.33/84.2956
Info:Filtering - Singleton removal: Total cpu/real time for purge: 56.39/58.6473
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11635211
Info:Lattice Sieving: Average J: 1894.11 for 319433 special-q, max bucket fill -bkmult 1.0,1s:1.245010
Info:Lattice Sieving: Total time: 41643.6s
Info:Generate Factor Base: Total cpu/real time for makefb: 1.94/1.05589
Info:Linear Algebra: Total cpu/real time for bwc: 6032.83/1554.94
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 3782.77, WCT time 970.0, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (19968 iterations)
Info:Linear Algebra: Lingen CPU time 105.61, WCT time 26.88
Info:Linear Algebra: Mksol: CPU time 2048.55,  WCT time 523.44, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9984 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 59.67/17.0294
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.96/48.5133
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 48.4s
Info:Filtering - Merging: Merged matrix has 630977 rows and total weight 107479656 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 134.1/37.9559
Info:Filtering - Merging: Total cpu/real time for replay: 21.85/18.2165
Info:Quadratic Characters: Total cpu/real time for characters: 21.88/8.60458
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 104.56/92.0673
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 80.6s
Info:Square Root: Total cpu/real time for sqrt: 277.33/84.2956
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 83621.5/22907.8
Info:root: Cleaning up computation data in /tmp/cado.yk1dtxqc
6274450711641782464485956612222771900100231052440376220749756572019 4405433540297018012785846645522889706378228755059218603709083418111
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-89-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
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)

47×10171-29

c146

name 名前Eric Jeancolas
date 日付November 10, 2021 09:05:24 UTC 2021 年 11 月 10 日 (水) 18 時 5 分 24 秒 (日本時間)
composite number 合成数
34815354032390009600834272799185482858592779865307131212162059379276642562602700972978328180958492524252160988499362713757189834450331158533738499<146>
prime factors 素因数
147088776501329714600668790651377049007684418440049<51>
236696197089349446126107297740285630536498422675680458973037179250324349808319733315839661904051<96>
factorization results 素因数分解の結果
34815354032390009600834272799185482858592779865307131212162059379276642562602700972978328180958492524252160988499362713757189834450331158533738499=
147088776501329714600668790651377049007684418440049*236696197089349446126107297740285630536498422675680458973037179250324349808319733315839661904051

cado polynomial
n: 34815354032390009600834272799185482858592779865307131212162059379276642562602700972978328180958492524252160988499362713757189834450331158533738499
skew: 0.34
type: snfs
c0: -1
c5: 235
Y0: 10000000000000000000000000000000000
Y1: -1
# f(x) = 235*x^5-1
# g(x) = -x+10000000000000000000000000000000000


cado parameters (extracts)
tasks.lim0 = 5200000
tasks.lim1 = 5200000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 236696197089349446126107297740285630536498422675680458973037179250324349808319733315839661904051 147088776501329714600668790651377049007684418440049
Info:Square Root: Total cpu/real time for sqrt: 399.39/124.034
Info:Filtering - Singleton removal: Total cpu/real time for purge: 103.11/121.622
Info:Square Root: Total cpu/real time for sqrt: 399.39/124.034
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 12056177
Info:Lattice Sieving: Average J: 1892.47 for 550216 special-q, max bucket fill -bkmult 1.0,1s:1.236740
Info:Lattice Sieving: Total time: 72314.3s
Info:Generate Factor Base: Total cpu/real time for makefb: 2.23/1.26092
Info:Linear Algebra: Total cpu/real time for bwc: 12915.4/3322.88
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 8178.07, WCT time 2094.25, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (28416 iterations)
Info:Linear Algebra: Lingen CPU time 158.4, WCT time 40.33
Info:Linear Algebra: Mksol: CPU time 4434.42,  WCT time 1135.07, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14336 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 47.36/52.94
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 52.6s
Info:Filtering - Merging: Merged matrix has 902974 rows and total weight 154088061 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 209.39/58.704
Info:Filtering - Merging: Total cpu/real time for replay: 33.82/28.1724
Info:Quadratic Characters: Total cpu/real time for characters: 32.39/12.735
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 156.81/150.954
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 123.9s
Info:Generate Free Relations: Total cpu/real time for freerel: 58.9/16.4059
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 147302/40001.6
Info:root: Cleaning up computation data in /tmp/cado.0fxhgdqc
236696197089349446126107297740285630536498422675680458973037179250324349808319733315839661904051 147088776501329714600668790651377049007684418440049
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
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)

47×10172-29

c153

name 名前Eric Jeancolas
date 日付November 10, 2021 09:04:59 UTC 2021 年 11 月 10 日 (水) 18 時 4 分 59 秒 (日本時間)
composite number 合成数
349194702676506357102224682614274584571755279616115046719476254930429400779183439419605195709538952944392463202515625768909753224693910160038080397827011<153>
prime factors 素因数
50459434401643358445303280182883283883966315733499800125008403237809<68>
6920305524969059395039271961568189707394657895189228360947326939023017910532673068979<85>
factorization results 素因数分解の結果
349194702676506357102224682614274584571755279616115046719476254930429400779183439419605195709538952944392463202515625768909753224693910160038080397827011=50459434401643358445303280182883283883966315733499800125008403237809*6920305524969059395039271961568189707394657895189228360947326939023017910532673068979

cado polynomial
n: 349194702676506357102224682614274584571755279616115046719476254930429400779183439419605195709538952944392463202515625768909753224693910160038080397827011
skew: 0.21
type: snfs
c0: -1
c5: 2350
Y0: 10000000000000000000000000000000000
Y1: -1
# f(x) = 2350*x^5-1
# g(x) = -x+10000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 5400000
tasks.lim1 = 5400000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 6920305524969059395039271961568189707394657895189228360947326939023017910532673068979 50459434401643358445303280182883283883966315733499800125008403237809
Info:Square Root: Total cpu/real time for sqrt: 205.44/65.1836
Info:Filtering - Singleton removal: Total cpu/real time for purge: 65.13/77.2038
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11757921
Info:Lattice Sieving: Average J: 1893.74 for 463024 special-q, max bucket fill -bkmult 1.0,1s:1.241080
Info:Lattice Sieving: Total time: 62986.8s
Info:Generate Factor Base: Total cpu/real time for makefb: 2.33/1.32321
Info:Linear Algebra: Total cpu/real time for bwc: 11111.2/2858
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 7023.45, WCT time 1798.06, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (26624 iterations)
Info:Linear Algebra: Lingen CPU time 152.55, WCT time 38.74
Info:Linear Algebra: Mksol: CPU time 3801.1,  WCT time 971.51, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13312 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 59.31/16.4089
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 46.31/51.0605
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 50.9s
Info:Filtering - Merging: Merged matrix has 843948 rows and total weight 144118072 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 192.09/53.8859
Info:Filtering - Merging: Total cpu/real time for replay: 30.64/25.7442
Info:Quadratic Characters: Total cpu/real time for characters: 30.13/11.8184
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 123.7/112.692
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 97.2s
Info:Square Root: Total cpu/real time for sqrt: 205.44/65.1836
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 128556/34804.4
Info:root: Cleaning up computation data in /tmp/cado.9n5ts9gr
6920305524969059395039271961568189707394657895189228360947326939023017910532673068979 50459434401643358445303280182883283883966315733499800125008403237809
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
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)

47×10173-29

c120

name 名前Eric Jeancolas
date 日付November 4, 2021 20:46:52 UTC 2021 年 11 月 5 日 (金) 5 時 46 分 52 秒 (日本時間)
composite number 合成数
612702512108790141958272988947251351273392295932688238374250060301190901505336075108792144081002251732207214173544511409<120>
prime factors 素因数
1737596873358969076022901168063075116383994890759553269<55>
352614879494095581555728811422460170855987528948345925425870698061<66>
factorization results 素因数分解の結果
612702512108790141958272988947251351273392295932688238374250060301190901505336075108792144081002251732207214173544511409=1737596873358969076022901168063075116383994890759553269*352614879494095581555728811422460170855987528948345925425870698061

cado polynomial
n: 612702512108790141958272988947251351273392295932688238374250060301190901505336075108792144081002251732207214173544511409
skew: 25920.474
c0: 783930275750513717865424140
c1: -225310642778716791951331
c2: -9006675511140385374
c3: 393285381379711
c4: 6509147550
c5: -165600
Y0: -162414503510350871094078
Y1: 71777831968225489
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.497e-06
# f(x) = -165600*x^5+6509147550*x^4+393285381379711*x^3-9006675511140385374*x^2-225310642778716791951331*x+783930275750513717865424140
# g(x) = 71777831968225489*x-162414503510350871094078

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: 1737596873358969076022901168063075116383994890759553269 352614879494095581555728811422460170855987528948345925425870698061
Info:Square Root: Total cpu/real time for sqrt: 399.55/107.015
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 130.84/111.945
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 100.6s
Info:Generate Factor Base: Total cpu/real time for makefb: 5.14/1.36652
Info:Generate Free Relations: Total cpu/real time for freerel: 126.18/32.9485
Info:Linear Algebra: Total cpu/real time for bwc: 4856.58/1264.95
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 2959.83, WCT time 768.15, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (22272 iterations)
Info:Linear Algebra: Lingen CPU time 122.22, WCT time 31.09
Info:Linear Algebra: Mksol: CPU time 1703.57,  WCT time 440.47, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11264 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 48.29/53.8121
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1782.65
Info:Polynomial Selection (root optimized): Rootsieve time: 1780.23
Info:Filtering - Merging: Merged matrix has 708502 rows and total weight 71959551 (101.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 53.13/17.6923
Info:Filtering - Merging: Total cpu/real time for replay: 17.56/13.9104
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13427526
Info:Lattice Sieving: Average J: 1905.78 for 255855 special-q, max bucket fill -bkmult 1.0,1s:1.277400
Info:Lattice Sieving: Total time: 31423.1s
Info:Quadratic Characters: Total cpu/real time for characters: 22.34/8.72337
Info:Square Root: Total cpu/real time for sqrt: 399.55/107.015
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): 20052/36.060/42.814/48.280/1.032
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16117/34.210/37.893/43.350/0.849
Info:Polynomial Selection (size optimized): Total time: 2272.83
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 54.53/60.9015
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 60.8s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 67914.5/15938.8
1737596873358969076022901168063075116383994890759553269 352614879494095581555728811422460170855987528948345925425870698061
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-72-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
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosNovember 4, 2021 18:17:01 UTC 2021 年 11 月 5 日 (金) 3 時 17 分 1 秒 (日本時間)

47×10176-29

c142

name 名前Eric Jeancolas
date 日付November 10, 2021 09:07:33 UTC 2021 年 11 月 10 日 (水) 18 時 7 分 33 秒 (日本時間)
composite number 合成数
2540002291419982241076170598394106198822372736690978421997409763277628263855694550623102923564261910608799026856220471513371144250232818407779<142>
prime factors 素因数
1616836157403429269478471829431368978641379<43>
1570970737999278094987002490081080482809535460298802778072091476319143770472313660087401171289641601<100>
factorization results 素因数分解の結果
2540002291419982241076170598394106198822372736690978421997409763277628263855694550623102923564261910608799026856220471513371144250232818407779=1570970737999278094987002490081080482809535460298802778072091476319143770472313660087401171289641601*1616836157403429269478471829431368978641379

cado polynomial
n: 2540002291419982241076170598394106198822372736690978421997409763277628263855694550623102923564261910608799026856220471513371144250232818407779
skew: 0.34
type: snfs
c0: -1
c5: 235
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 235*x^5-1
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 6300000
tasks.lim1 = 6300000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1570970737999278094987002490081080482809535460298802778072091476319143770472313660087401171289641601 1616836157403429269478471829431368978641379
Info:Square Root: Total cpu/real time for sqrt: 391.43/120.788
Info:Filtering - Singleton removal: Total cpu/real time for purge: 122.8/123.523
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22416479
Info:Lattice Sieving: Average J: 1894.19 for 863291 special-q, max bucket fill -bkmult 1.0,1s:1.203570
Info:Lattice Sieving: Total time: 136332s
Info:Generate Factor Base: Total cpu/real time for makefb: 2.72/1.46504
Info:Linear Algebra: Total cpu/real time for bwc: 14855.2/3818.75
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 9416.62, WCT time 2412.13, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (30464 iterations)
Info:Linear Algebra: Lingen CPU time 171.8, WCT time 43.72
Info:Linear Algebra: Mksol: CPU time 5107.96,  WCT time 1304.32, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (15360 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 119.62/32.3374
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 88.37/98.9808
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 98.9s
Info:Filtering - Merging: Merged matrix has 843948 rows and total weight 144118072 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 229/63.7554
Info:Filtering - Merging: Total cpu/real time for replay: 33.78/28.8854
Info:Quadratic Characters: Total cpu/real time for characters: 32.58/12.8407
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 211.96/178.738
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 162.0s
Info:Square Root: Total cpu/real time for sqrt: 391.43/120.788
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 269501/72998.7
Info:root: Cleaning up computation data in /tmp/cado.dmnchzdh
1570970737999278094987002490081080482809535460298802778072091476319143770472313660087401171289641601 1616836157403429269478471829431368978641379
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
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)

47×10179-29

c171

name 名前Eric Jeancolas
date 日付November 11, 2021 14:28:38 UTC 2021 年 11 月 11 日 (木) 23 時 28 分 38 秒 (日本時間)
composite number 合成数
538004696519553227008042084359233026173150782717082824872248970476444887328079113990807119245086443571508243710089965971818788812146731392679284792096769799449493402174711<171>
prime factors 素因数
25237553733262385268622091209292814045074254975430739323411<59>
21317624608381841076466383409687675957581269854993879983426185746706908198150860037866590567621456046304691148301<113>
factorization results 素因数分解の結果
538004696519553227008042084359233026173150782717082824872248970476444887328079113990807119245086443571508243710089965971818788812146731392679284792096769799449493402174711=25237553733262385268622091209292814045074254975430739323411*21317624608381841076466383409687675957581269854993879983426185746706908198150860037866590567621456046304691148301

cado polynomial
n: 538004696519553227008042084359233026173150782717082824872248970476444887328079113990807119245086443571508243710089965971818788812146731392679284792096769799449493402174711
skew: 0.42
type: snfs
c0: -5
c5: 376
Y0: 500000000000000000000000000000000000
Y1: -1
# f(x) = 376*x^5-5
# g(x) = -x+500000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 7300000
tasks.lim1 = 7300000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 25237553733262385268622091209292814045074254975430739323411 21317624608381841076466383409687675957581269854993879983426185746706908198150860037866590567621456046304691148301
Info:Square Root: Total cpu/real time for sqrt: 292.73/92.9617
Info:Filtering - Singleton removal: Total cpu/real time for purge: 109/114.512
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22421286
Info:Lattice Sieving: Average J: 1894.63 for 1130370 special-q, max bucket fill -bkmult 1.0,1s:1.182110
Info:Lattice Sieving: Total time: 185902s
Info:Generate Factor Base: Total cpu/real time for makefb: 3.11/1.68283
Info:Linear Algebra: Total cpu/real time for bwc: 22384/5750.15
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 14200.21, WCT time 3635.03, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (37376 iterations)
Info:Linear Algebra: Lingen CPU time 232.32, WCT time 59.07
Info:Linear Algebra: Mksol: CPU time 7753.52,  WCT time 1982.12, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (18688 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 117.8/32.4786
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 90.03/104.367
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 104.3s
Info:Filtering - Merging: Merged matrix has 1195052 rows and total weight 203183224 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 289.07/80.5222
Info:Filtering - Merging: Total cpu/real time for replay: 42.9/36.5337
Info:Quadratic Characters: Total cpu/real time for characters: 40.33/15.9915
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 215.05/184.173
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 166.0s
Info:Square Root: Total cpu/real time for sqrt: 292.73/92.9617
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 370134/99787
Info:root: Cleaning up computation data in /tmp/cado.90i6nh4y
25237553733262385268622091209292814045074254975430739323411 21317624608381841076466383409687675957581269854993879983426185746706908198150860037866590567621456046304691148301
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
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovNovember 11, 2021 12:24:13 UTC 2021 年 11 月 11 日 (木) 21 時 24 分 13 秒 (日本時間)
2350Ignacio SantosNovember 11, 2021 12:54:56 UTC 2021 年 11 月 11 日 (木) 21 時 54 分 56 秒 (日本時間)

47×10180-29

c117

name 名前Eric Jeancolas
date 日付November 4, 2021 14:07:17 UTC 2021 年 11 月 4 日 (木) 23 時 7 分 17 秒 (日本時間)
composite number 合成数
477212173719226710676490297866423197732461376965078189463211177826867600252368675600748975925043619073286934424421039<117>
prime factors 素因数
1746147660748365349652694623380207229677989628511<49>
273294283436890290649394030416690695322421944537852459635910380784049<69>
factorization results 素因数分解の結果
477212173719226710676490297866423197732461376965078189463211177826867600252368675600748975925043619073286934424421039=1746147660748365349652694623380207229677989628511*273294283436890290649394030416690695322421944537852459635910380784049

cado polynomial
n: 477212173719226710676490297866423197732461376965078189463211177826867600252368675600748975925043619073286934424421039
skew: 29943.67
type: gnfs
c0: -1182448704453697747434312156
c1: -78891372289816662152749
c2: 8544402589193853534
c3: 39447809309461
c4: -1347554130
c5: 55440
Y0: -35515178109246692630890
Y1: 180540511712357371
n: 518162171105803343108707481464468898874041058304411802625669976277169975883687870300619572976320444545967433416802804532387852578264108148819711953
skew: 0.54
type: snfs
c0: -9
c5: 200
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 55440*x^5-1347554130*x^4+39447809309461*x^3+8544402589193853534*x^2-78891372289816662152749*x-1182448704453697747434312156
# g(x) = 180540511712357371*x-35515178109246692630890

cado parameters (extracts)
tasks.lim0 = 2500000
tasks.lim1 = 4500000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1746147660748365349652694623380207229677989628511 273294283436890290649394030416690695322421944537852459635910380784049
Info:Square Root: Total cpu/real time for sqrt: 293.59/79.725
Info:Filtering - Singleton removal: Total cpu/real time for purge: 98.9/115.418
Info:Generate Factor Base: Total cpu/real time for makefb: 4.21/1.12418
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 31.21/34.5918
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 33.699999999999996s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 329.91
Info:Polynomial Selection (root optimized): Rootsieve time: 328.8
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 130.83/140.323
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 104.3s
Info:Filtering - Merging: Merged matrix has 480304 rows and total weight 74791854 (155.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 80.1/23.7219
Info:Filtering - Merging: Total cpu/real time for replay: 16.49/13.3324
Info:Linear Algebra: Total cpu/real time for bwc: 3040.06/786.93
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1885.93, WCT time 483.76, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (15104 iterations)
Info:Linear Algebra: Lingen CPU time 76.12, WCT time 19.43
Info:Linear Algebra: Mksol: CPU time 1037.4,  WCT time 266.99, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7552 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 63.68/16.8507
Info:Quadratic Characters: Total cpu/real time for characters: 17.34/6.80965
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21492.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21721/34.000/41.692/46.810/1.076
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 17310/33.100/36.896/42.190/0.845
Info:Polynomial Selection (size optimized): Total time: 1758.94
Info:Square Root: Total cpu/real time for sqrt: 293.59/79.725
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7643512
Info:Lattice Sieving: Average J: 1890.97 for 201290 special-q, max bucket fill -bkmult 1.0,1s:1.260980
Info:Lattice Sieving: Total time: 22152.5s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 46565.6/12734.2
Info:root: Cleaning up computation data in /tmp/cado.tqfy0776
1746147660748365349652694623380207229677989628511 273294283436890290649394030416690695322421944537852459635910380784049
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-72-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
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)

47×10181-29

c150

name 名前Eric Jeancolas
date 日付November 11, 2021 17:36:06 UTC 2021 年 11 月 12 日 (金) 2 時 36 分 6 秒 (日本時間)
composite number 合成数
216409362345218930231301361229516533859403283711505022033666517026083338296376966076708270036074161674766989732688983763439662434850087445231692648071<150>
prime factors 素因数
571886336170463702223342558226615910704841341540580119801198213<63>
378413241684293726653158147608279760168123509735203238192206379920862454784542882880667<87>
factorization results 素因数分解の結果
216409362345218930231301361229516533859403283711505022033666517026083338296376966076708270036074161674766989732688983763439662434850087445231692648071=571886336170463702223342558226615910704841341540580119801198213*378413241684293726653158147608279760168123509735203238192206379920862454784542882880667

cado polynomial
n: 216409362345218930231301361229516533859403283711505022033666517026083338296376966076708270036074161674766989732688983763439662434850087445231692648071
skew: 0.34
type: snfs
c0: -1
c5: 235
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 235*x^5-1
# g(x) = -x+1000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 7700000
tasks.lim1 = 7700000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 378413241684293726653158147608279760168123509735203238192206379920862454784542882880667 571886336170463702223342558226615910704841341540580119801198213
Info:Square Root: Total cpu/real time for sqrt: 317.3/101.269
Info:Filtering - Singleton removal: Total cpu/real time for purge: 104.6/112.829
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22413242
Info:Lattice Sieving: Average J: 1894.1 for 1231430 special-q, max bucket fill -bkmult 1.0,1s:1.156700
Info:Lattice Sieving: Total time: 207711s
Info:Generate Factor Base: Total cpu/real time for makefb: 3.27/1.88385
Info:Linear Algebra: Total cpu/real time for bwc: 26690.7/6851.29
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 17005.67, WCT time 4352.77, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (40448 iterations)
Info:Linear Algebra: Lingen CPU time 241.39, WCT time 61.27
Info:Linear Algebra: Mksol: CPU time 9224.07,  WCT time 2354.52, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (20224 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 118.02/32.3509
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 89.89/105.587
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 105.5s
Info:Filtering - Merging: Merged matrix has 1288803 rows and total weight 219410678 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 316.46/88.0928
Info:Filtering - Merging: Total cpu/real time for replay: 46.22/39.2939
Info:Quadratic Characters: Total cpu/real time for characters: 43.96/17.8919
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 214.7/179.306
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 165.7s
Info:Square Root: Total cpu/real time for sqrt: 317.3/101.269
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 415123/111765
Info:root: Cleaning up computation data in /tmp/cado.1hoqy3xf
378413241684293726653158147608279760168123509735203238192206379920862454784542882880667 571886336170463702223342558226615910704841341540580119801198213
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
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovNovember 11, 2021 12:24:22 UTC 2021 年 11 月 11 日 (木) 21 時 24 分 22 秒 (日本時間)
2350Ignacio SantosNovember 11, 2021 13:10:30 UTC 2021 年 11 月 11 日 (木) 22 時 10 分 30 秒 (日本時間)

47×10183-29

c135

name 名前Eric Jeancolas
date 日付November 3, 2021 21:37:27 UTC 2021 年 11 月 4 日 (木) 6 時 37 分 27 秒 (日本時間)
composite number 合成数
288899936030632873895110446104547095487514190568845614942301691308238278982284557561656304863448846387800624386194735124792762530537031<135>
prime factors 素因数
109613626365715560195120344019570569<36>
2635620639597721137541864363297307406488721969472498645870775769406951426750293550273613777754520399<100>
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 288899936030632873895110446104547095487514190568845614942301691308238278982284557561656304863448846387800624386194735124792762530537031 (135 digits)
Run 618 out of 1200:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:2244609116
Step 1 took 1397ms
Step 2 took 892ms
********** Factor found in step 2: 109613626365715560195120344019570569
Found prime factor of 36 digits: 109613626365715560195120344019570569
Prime cofactor 2635620639597721137541864363297307406488721969472498645870775769406951426750293550273613777754520399 has 100 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-72-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
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)

47×10185-29

c158

name 名前Dmitry Domanov
date 日付November 12, 2021 09:29:39 UTC 2021 年 11 月 12 日 (金) 18 時 29 分 39 秒 (日本時間)
composite number 合成数
18981778259405077728239214205864245358636670915008564034785110296876237863186671994883984686892874777783880773230728477160504827751702058926255596834828259351<158>
prime factors 素因数
6310235727854358278143926968545388268043379<43>
15351799229159370663533465487508033655055055163<47>
195944027512477007639286282601287718097060790255883237140606654330263<69>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3491540890
Step 1 took 5735ms
Step 2 took 2669ms
********** Factor found in step 2: 6310235727854358278143926968545388268043379
Found prime factor of 43 digits: 6310235727854358278143926968545388268043379
Composite cofactor 3008093370524427043437105340989685130734566335051625686435968958059482744567019529448324020979549842274302285297869 has 115 digits

N=3008093370524427043437105340989685130734566335051625686435968958059482744567019529448324020979549842274302285297869
  ( 115 digits)
Divisors found:
p47 factor: 15351799229159370663533465487508033655055055163
p69 factor: 195944027512477007639286282601287718097060790255883237140606654330263
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 21.24 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 3008093370524427043437105340989685130734566335051625686435968958059482744567019529448324020979549842274302285297869
skew: 39447.65
c0: -409853921311147303948660560
c1: 32644694424361123307412
c2: 344269820668181992
c3: -45524396349115
c4: 1913018272
c5: 9516
Y0: -12586491876917193581617
Y1: 45198143204167
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
type: gnfs
lss: 0
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2250000, 3350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 487953 x 488178
Total sieving time: 21.00 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,114,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,27,27,54,54,2.5,2.5,100000
total time: 21.24 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
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovNovember 11, 2021 12:24:31 UTC 2021 年 11 月 11 日 (木) 21 時 24 分 31 秒 (日本時間)
2350Ignacio SantosNovember 11, 2021 13:44:37 UTC 2021 年 11 月 11 日 (木) 22 時 44 分 37 秒 (日本時間)

47×10186-29

c159

name 名前Eric Jeancolas
date 日付November 13, 2021 19:16:17 UTC 2021 年 11 月 14 日 (日) 4 時 16 分 17 秒 (日本時間)
composite number 合成数
204638056369771208798426078776822169207055013939900779105809965046755607001919276679428810796786120591656569061131550706439123802031778749599451529785970013757<159>
prime factors 素因数
1867406036460145889638514905998458324729366936286886316783<58>
109584124916765838358007060581544921213774656008655794359157907136609523408195951596713520451428991379<102>
factorization results 素因数分解の結果
204638056369771208798426078776822169207055013939900779105809965046755607001919276679428810796786120591656569061131550706439123802031778749599451529785970013757=1867406036460145889638514905998458324729366936286886316783*109584124916765838358007060581544921213774656008655794359157907136609523408195951596713520451428991379

cado polynomial
n: 204638056369771208798426078776822169207055013939900779105809965046755607001919276679428810796786120591656569061131550706439123802031778749599451529785970013757
skew: 0.34
type: snfs
c0: -1
c5: 235
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 235*x^5-1
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 9300000
tasks.lim1 = 9300000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1867406036460145889638514905998458324729366936286886316783 109584124916765838358007060581544921213774656008655794359157907136609523408195951596713520451428991379
Info:Square Root: Total cpu/real time for sqrt: 485.48/156.15
Info:Filtering - Singleton removal: Total cpu/real time for purge: 286.97/338.532
Info:Generate Free Relations: Total cpu/real time for freerel: 118.81/32.3842
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24543693
Info:Lattice Sieving: Average J: 1894.29 for 1745209 special-q, max bucket fill -bkmult 1.0,1s:1.140650
Info:Lattice Sieving: Total time: 318390s
Info:Generate Factor Base: Total cpu/real time for makefb: 3.94/2.15129
Info:Linear Algebra: Total cpu/real time for bwc: 57685.4/14813.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 36956.17, WCT time 9434.51, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (58368 iterations)
Info:Linear Algebra: Lingen CPU time 372.5, WCT time 94.63
Info:Linear Algebra: Mksol: CPU time 20006.68,  WCT time 5140.11, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (29184 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 99.75/114.424
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 113.8s
Info:Filtering - Merging: Merged matrix has 1860129 rows and total weight 316334764 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 487.3/135.083
Info:Filtering - Merging: Total cpu/real time for replay: 72.18/61.5349
Info:Quadratic Characters: Total cpu/real time for characters: 66.69/28.1879
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 396.21/391.744
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 316.6s
Info:Square Root: Total cpu/real time for sqrt: 485.48/156.15
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 654330/175128
Info:root: Cleaning up computation data in /tmp/cado.63dq_t_1
1867406036460145889638514905998458324729366936286886316783 109584124916765838358007060581544921213774656008655794359157907136609523408195951596713520451428991379
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
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovNovember 11, 2021 12:24:38 UTC 2021 年 11 月 11 日 (木) 21 時 24 分 38 秒 (日本時間)
2350Ignacio SantosNovember 11, 2021 13:44:51 UTC 2021 年 11 月 11 日 (木) 22 時 44 分 51 秒 (日本時間)

47×10189-29

c131

name 名前Ignacio Santos
date 日付November 4, 2021 18:22:57 UTC 2021 年 11 月 5 日 (金) 3 時 22 分 57 秒 (日本時間)
composite number 合成数
18094963774871216324186229219567302331027576909020290162227165162087188612077815116071474669281918993354028206345689575968483340169<131>
prime factors 素因数
211710321906379441120808853305202106663758929<45>
85470389974056163407940888828745465919147352112144573187812564213756885896898413189561<86>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3896565896
Step 1 took 4812ms
Step 2 took 2907ms
********** Factor found in step 2: 211710321906379441120808853305202106663758929
Found prime factor of 45 digits: 211710321906379441120808853305202106663758929
Prime cofactor 85470389974056163407940888828745465919147352112144573187812564213756885896898413189561 has 86 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
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)

47×10190-29

c141

name 名前Eric Jeancolas
date 日付November 16, 2021 04:30:06 UTC 2021 年 11 月 16 日 (火) 13 時 30 分 6 秒 (日本時間)
composite number 合成数
123837533177447428681714101612995521792593438144867531712574429619959472433255234391541394576016332203527641985590326860165157974249845352347<141>
prime factors 素因数
49995303797572418332551177282125514408925260319463050759460087<62>
2476983311849792339098404033206455343944313651530109409297934648897154043161981<79>
factorization results 素因数分解の結果
123837533177447428681714101612995521792593438144867531712574429619959472433255234391541394576016332203527641985590326860165157974249845352347=49995303797572418332551177282125514408925260319463050759460087*2476983311849792339098404033206455343944313651530109409297934648897154043161981

cado polynomial
n: 123837533177447428681714101612995521792593438144867531712574429619959472433255234391541394576016332203527641985590326860165157974249845352347
skew: 0.53
type: snfs
c0: -2
c5: 47
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 47*x^5-2
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 11000000
tasks.lim1 = 11000000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 2476983311849792339098404033206455343944313651530109409297934648897154043161981 49995303797572418332551177282125514408925260319463050759460087
Info:Square Root: Total cpu/real time for sqrt: 906.95/281.667
Info:Filtering - Singleton removal: Total cpu/real time for purge: 287.68/337.618
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24656154
Info:Lattice Sieving: Average J: 1894.63 for 1823462 special-q, max bucket fill -bkmult 1.0,1s:1.162600
Info:Lattice Sieving: Total time: 370411s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.65/2.43382
Info:Linear Algebra: Total cpu/real time for bwc: 64068/16436
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 41119.57, WCT time 10500.46, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (61184 iterations)
Info:Linear Algebra: Lingen CPU time 389.76, WCT time 99.05
Info:Linear Algebra: Mksol: CPU time 22187.59,  WCT time 5683.93, iteration CPU time 0.18, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (30720 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 117.15/30.5483
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 101.4/118.619
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 118.2s
Info:Filtering - Merging: Merged matrix has 1950947 rows and total weight 333735500 (171.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 527.6/145.855
Info:Filtering - Merging: Total cpu/real time for replay: 75.56/67.0385
Info:Quadratic Characters: Total cpu/real time for characters: 68.94/29.0352
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 402.07/396.36
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 324.59999999999997s
Info:Square Root: Total cpu/real time for sqrt: 906.95/281.667
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 759945/203002
Info:root: Cleaning up computation data in /tmp/cado.ntndrkkq
2476983311849792339098404033206455343944313651530109409297934648897154043161981 49995303797572418332551177282125514408925260319463050759460087
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
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosNovember 10, 2021 19:40:11 UTC 2021 年 11 月 11 日 (木) 4 時 40 分 11 秒 (日本時間)

47×10191-29

c167

name 名前Eric Jeancolas
date 日付November 18, 2021 08:27:45 UTC 2021 年 11 月 18 日 (木) 17 時 27 分 45 秒 (日本時間)
composite number 合成数
41889793700758075271487536729393111572226794041645247833163386638296037747613347162475557148559620265481766133720986304946820672340923485400726597145826646450810938287<167>
prime factors 素因数
141946120372026696267484797121708632985375641487<48>
295110522154244742164643068648860616593602997048830494067308802506517186922110541939759506873042601208390526210436946401<120>
factorization results 素因数分解の結果
41889793700758075271487536729393111572226794041645247833163386638296037747613347162475557148559620265481766133720986304946820672340923485400726597145826646450810938287=141946120372026696267484797121708632985375641487*295110522154244742164643068648860616593602997048830494067308802506517186922110541939759506873042601208390526210436946401

cado polynomial
n: 41889793700758075271487536729393111572226794041645247833163386638296037747613347162475557148559620265481766133720986304946820672340923485400726597145826646450810938287
skew: 0.34
type: snfs
c0: -1
c5: 235
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 235*x^5-1
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 11300000
tasks.lim1 = 11300000
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: 141946120372026696267484797121708632985375641487 295110522154244742164643068648860616593602997048830494067308802506517186922110541939759506873042601208390526210436946401
Info:Square Root: Total cpu/real time for sqrt: 1709.51/519.034
Info:Generate Free Relations: Total cpu/real time for freerel: 118.05/32.2492
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 508.55/517.862
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 415.5000000000001s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.83/2.46548
Info:Square Root: Total cpu/real time for sqrt: 1709.51/519.034
Info:Filtering - Merging: Merged matrix has 2304507 rows and total weight 393828748 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 627.6/173.49
Info:Filtering - Merging: Total cpu/real time for replay: 89.16/78.3996
Info:Linear Algebra: Total cpu/real time for bwc: 91924.1/23556.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 58807.64, WCT time 15017.87, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (72192 iterations)
Info:Linear Algebra: Lingen CPU time 506.86, WCT time 128.44
Info:Linear Algebra: Mksol: CPU time 31805.73,  WCT time 8141.15, iteration CPU time 0.21, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (36352 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 403.73/465.149
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 28028552
Info:Lattice Sieving: Average J: 1893.86 for 2671574 special-q, max bucket fill -bkmult 1.0,1s:1.148870
Info:Lattice Sieving: Total time: 541677s
Info:Quadratic Characters: Total cpu/real time for characters: 80.58/35.2351
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 115.82/131.184
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 130.5s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.10803e+06/155647
141946120372026696267484797121708632985375641487 295110522154244742164643068648860616593602997048830494067308802506517186922110541939759506873042601208390526210436946401
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
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosNovember 10, 2021 19:40:24 UTC 2021 年 11 月 11 日 (木) 4 時 40 分 24 秒 (日本時間)

47×10194-29

c194

name 名前Eric Jeancolas
date 日付November 15, 2021 07:38:29 UTC 2021 年 11 月 15 日 (月) 16 時 38 分 29 秒 (日本時間)
composite number 合成数
87037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037<194>
prime factors 素因数
671312334820150444677196636044309217239939541686097573<54>
129652074783274919316785499856334006080429308973147504311365612359298247131075555658734817628784558478028777009577103311731851710772704966569<141>
factorization results 素因数分解の結果
87037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037=671312334820150444677196636044309217239939541686097573*129652074783274919316785499856334006080429308973147504311365612359298247131075555658734817628784558478028777009577103311731851710772704966569

cado polynomial
n: 87037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037
skew: 0.42
type: snfs
c0: -5
c5: 376
Y0: 500000000000000000000000000000000000000
Y1: -1
# f(x) = 376*x^5-5
# g(x) = -x+500000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 13000000
tasks.lim1 = 13000000
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: 671312334820150444677196636044309217239939541686097573 129652074783274919316785499856334006080429308973147504311365612359298247131075555658734817628784558478028777009577103311731851710772704966569
Info:Square Root: Total cpu/real time for sqrt: 1327.34/179.55
Info:Filtering - Merging: Merged matrix has 2753186 rows and total weight 469959203 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 866.93/89.3612
Info:Filtering - Merging: Total cpu/real time for replay: 99.9/80.1993
Info:Generate Factor Base: Total cpu/real time for makefb: 6.96/1.67333
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 894.97/797.725
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 627.0999999999999s
Info:Quadratic Characters: Total cpu/real time for characters: 103.51/25.9549
Info:Square Root: Total cpu/real time for sqrt: 1327.34/179.55
Info:Linear Algebra: Total cpu/real time for bwc: 165653/30354.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 107278.45, WCT time 19658.73, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.02, comm-wait 0.0 (86528 iterations)
Info:Linear Algebra: Lingen CPU time 1364.49, WCT time 119.55
Info:Linear Algebra: Mksol: CPU time 56111.85,  WCT time 10356.45, iteration CPU time 0.21, COMM 0.01, cpu-wait 0.02, comm-wait 0.0 (43520 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 673.89/744.743
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 29792356
Info:Lattice Sieving: Average J: 1893.97 for 3800660 special-q, max bucket fill -bkmult 1.0,1s:1.133500
Info:Lattice Sieving: Total time: 1.60056e+06s
Info:Generate Free Relations: Total cpu/real time for freerel: 144.11/15.8762
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 225.03/204.708
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 203.5s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3.13522e+06/298776
Info:root: Cleaning up computation data in /tmp/cado.h8jh_thu
671312334820150444677196636044309217239939541686097573 129652074783274919316785499856334006080429308973147504311365612359298247131075555658734817628784558478028777009577103311731851710772704966569
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
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e62089Eric JeancolasNovember 12, 2021 06:29:13 UTC 2021 年 11 月 12 日 (金) 15 時 29 分 13 秒 (日本時間)

47×10196-29

c144

name 名前Eric Jeancolas
date 日付November 19, 2021 03:09:51 UTC 2021 年 11 月 19 日 (金) 12 時 9 分 51 秒 (日本時間)
composite number 合成数
166315038817546174591074737608096302311939241378722006577859844830671641569610438235612824509699760966621515741041236693934812098891813818471077<144>
prime factors 素因数
1227189965153430275690904423100656498569681197530031<52>
135525096798483453722054281059375270252585899611329089645402933113060626549994029094755289067<93>
factorization results 素因数分解の結果
166315038817546174591074737608096302311939241378722006577859844830671641569610438235612824509699760966621515741041236693934812098891813818471077=1227189965153430275690904423100656498569681197530031*135525096798483453722054281059375270252585899611329089645402933113060626549994029094755289067

cado polynomial
n: 166315038817546174591074737608096302311939241378722006577859844830671641569610438235612824509699760966621515741041236693934812098891813818471077
skew: 0.34
type: snfs
c0: -1
c5: 235
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 235*x^5-1
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 13600000
tasks.lim1 = 13600000
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: 1227189965153430275690904423100656498569681197530031 135525096798483453722054281059375270252585899611329089645402933113060626549994029094755289067
Info:Square Root: Total cpu/real time for sqrt: 764.01/240.926
Info:Square Root: Total cpu/real time for sqrt: 764.01/240.926
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 131.13/156.594
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 155.59999999999997s
Info:Generate Free Relations: Total cpu/real time for freerel: 117.62/32.3943
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 579.71/598.07
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 483.59999999999997s
Info:Generate Factor Base: Total cpu/real time for makefb: 5.83/2.78836
Info:Filtering - Merging: Merged matrix has 2798792 rows and total weight 478066082 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 790.53/217.552
Info:Filtering - Merging: Total cpu/real time for replay: 108.51/95.0249
Info:Linear Algebra: Total cpu/real time for bwc: 140002/35803.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 89819.01, WCT time 22905.97, iteration CPU time 0.25, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (87552 iterations)
Info:Linear Algebra: Lingen CPU time 609.76, WCT time 154.8
Info:Linear Algebra: Mksol: CPU time 48533.96,  WCT time 12382.41, iteration CPU time 0.27, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (44032 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 468.55/544.883
Info:Quadratic Characters: Total cpu/real time for characters: 95.57/41.9223
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 30854472
Info:Lattice Sieving: Average J: 1893.63 for 4324367 special-q, max bucket fill -bkmult 1.0,1s:1.128710
Info:Lattice Sieving: Total time: 1.09872e+06s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.25226e+06/222829
1227189965153430275690904423100656498569681197530031 135525096798483453722054281059375270252585899611329089645402933113060626549994029094755289067
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
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosNovember 10, 2021 19:03:18 UTC 2021 年 11 月 11 日 (木) 4 時 3 分 18 秒 (日本時間)

47×10197-29

c175

name 名前Bob Backstrom
date 日付November 10, 2021 13:04:44 UTC 2021 年 11 月 10 日 (水) 22 時 4 分 44 秒 (日本時間)
composite number 合成数
1241446795848809118631301346670558179413521059671958476604865771417227528741829816159302221706040597369714679451237281011980025562069346073756666416879343637474103068805529523<175>
prime factors 素因数
427003775425786304553296445262212368758337983<45>
2907343839315944991875475173174018113684702067897209672081788299228213210025105405447532629966252460586075781529488821324006426381<130>
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 1241446795848809118631301346670558179413521059671958476604865771417227528741829816159302221706040597369714679451237281011980025562069346073756666416879343637474103068805529523 (175 digits)
Using B1=45630000, B2=240493423186, polynomial Dickson(12), sigma=1:865305408
Step 1 took 125686ms
Step 2 took 39653ms
********** Factor found in step 2: 427003775425786304553296445262212368758337983
Found prime factor of 45 digits: 427003775425786304553296445262212368758337983
Prime cofactor 2907343839315944991875475173174018113684702067897209672081788299228213210025105405447532629966252460586075781529488821324006426381 has 130 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)

47×10198-29

c197

name 名前Bob Backstrom
date 日付November 4, 2021 21:44:26 UTC 2021 年 11 月 5 日 (金) 6 時 44 分 26 秒 (日本時間)
composite number 合成数
90038314176245210727969348659003831417624521072796934865900383141762452107279693486590038314176245210727969348659003831417624521072796934865900383141762452107279693486590038314176245210727969348659<197>
prime factors 素因数
269550431871304357402738733010855881878491946808015513395878404573<66>
334031422436130984520419764292349298923286841253273467983517788847418557220326800827207808874315369667791373452681646260871939816783<132>
factorization results 素因数分解の結果
Number: n
N=90038314176245210727969348659003831417624521072796934865900383141762452107279693486590038314176245210727969348659003831417624521072796934865900383141762452107279693486590038314176245210727969348659  ( 197 digits)
SNFS difficulty: 199 digits.
Divisors found:

Fri Nov  5 08:36:56 2021  p66 factor: 269550431871304357402738733010855881878491946808015513395878404573
Fri Nov  5 08:36:56 2021  p132 factor: 334031422436130984520419764292349298923286841253273467983517788847418557220326800827207808874315369667791373452681646260871939816783
Fri Nov  5 08:36:56 2021  elapsed time 01:17:40 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 47x10^198-2 = 52(198)
#
n: 90038314176245210727969348659003831417624521072796934865900383141762452107279693486590038314176245210727969348659003831417624521072796934865900383141762452107279693486590038314176245210727969348659
m: 1000000000000000000000000000000000000000
deg: 5
c5: 23500
c0: -1
skew: 0.13
# Murphy_E = 1.389e-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 4435667 hash collisions in 31056222 relations (28199495 unique)
Msieve: matrix is 1793704 x 1793929 (624.3 MB)

Sieving start time : 2021/11/05 00:07:06
Sieving end time  : 2021/11/05 07:18:43

Total sieving time: 7hrs 11min 37secs.

Total relation processing time: 1hrs 3min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 11sec.

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) ----------
[    0.118892] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2728K init, 4972K bss, 487280K reserved, 0K cma-reserved)
[    0.152618] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.04 BogoMIPS (lpj=12798084)
[    0.150210] smpboot: Total of 16 processors activated (102384.67 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)

47×10199-29

c176

name 名前Bob Backstrom
date 日付November 9, 2021 14:25:09 UTC 2021 年 11 月 9 日 (火) 23 時 25 分 9 秒 (日本時間)
composite number 合成数
14374475290559309196543044559550282622668784873380997967121343826859615237729748874053053019701336916036653573957193707478119911586097190772910445950928275179573747890643569377<176>
prime factors 素因数
575992234848620286217033874588326003<36>
2972683062517710997774481736259465441297387013<46>
8395117198760569603605241767017546919622203744956655351675664428770373898461233841894775941343<94>
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 14374475290559309196543044559550282622668784873380997967121343826859615237729748874053053019701336916036653573957193707478119911586097190772910445950928275179573747890643569377 (176 digits)
Using B1=35980000, B2=192389627446, polynomial Dickson(12), sigma=1:2277143235
Step 1 took 99973ms
********** Factor found in step 1: 575992234848620286217033874588326003
Found prime factor of 36 digits: 575992234848620286217033874588326003
Composite cofactor 24956022704606677155513402933196162278048610619551926874592585495916878354029050923102065996986479109084419666101264755200353304763257978459 has 140 digits



STA:Mon 08 Nov 2021 21:39:42 AEDT (24,956,022,704,606,677,155,513,402,933,196,162,278,048,610,619,551,926,874,592,585,495,916,878,354,029,050,923,102,065,996,986,479,109,084,419,666,101,264,755,200,353,304,763,257,978,459 - C140)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 24956022704606677155513402933196162278048610619551926874592585495916878354029050923102065996986479109084419666101264755200353304763257978459 2>&1 | tee -a log60

Debug:root: Looking for parameter file for c140 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c140
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c140
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.awnvq2ff
Info:Database: Opened connection to database /tmp/cado.awnvq2ff/c140.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 24956022704606677155513402933196162278048610619551926874592585495916878354029050923102065996986479109084419666101264755200
353304763257978459
Debug:root: Root parameter dictionary:
N = 24956022704606677155513402933196162278048610619551926874592585495916878354029050923102065996986479109084419666101264755200353304763257978459
lim0 = 16496796
lim1 = 20245449
lpb0 = 28
lpb1 = 28
name = c140
...
n: 24956022704606677155513402933196162278048610619551926874592585495916878354029050923102065996986479109084419666101264755200353304763257978459
skew: 762767.562
c0: -993102873627008405561988766671488
c1: 23014611576416566743725090614
c2: -28747115886732846285897
c3: -94662414437337799
c4: 15210825560
c5: 24000
Y0: -1325314807861214801141741631
Y1: 46206072096101164997
# MurphyE (Bf=2.02e+07,Bg=1.65e+07,area=6.79e+14) = 8.26e-10
# f(x) = 24000*x^5+15210825560*x^4-94662414437337799*x^3-28747115886732846285897*x^2+23014611576416566743725090614*x-993102873627008405561988766671488
# g(x) = 46206072096101164997*x-1325314807861214801141741631
...
Info:Square Root: finished
Info:Square Root: Factors: 8395117198760569603605241767017546919622203744956655351675664428770373898461233841894775941343 2972683062517710997774481736259465441297387013
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 2473.14/337.526
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 65655.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 66223/41.340/50.186/55.880/0.957
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 66223/40.410/44.944/50.890/1.262
Info:Polynomial Selection (size optimized): Total time: 27954.1
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 3432.01
Info:Polynomial Selection (root optimized): Rootsieve time: 3431.13
Info:Generate Factor Base: Total cpu/real time for makefb: 26.42/2.37926
Info:Generate Free Relations: Total cpu/real time for freerel: 302.11/20.1089
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25182795
Info:Lattice Sieving: Average J: 3823.07 for 854812 special-q, max bucket fill: 0.648297
Info:Lattice Sieving: Total CPU time: 821868s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 68.79/89.5565
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 89.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 407.33/129.471
Info:Filtering - Singleton removal: Total cpu/real time for purge: 178.87/87.5258
Info:Filtering - Merging: Total cpu/real time for merge: 1128.73/947.765
Info:Filtering - Merging: Total cpu/real time for replay: 89.03/71.5093
Info:Linear Algebra: Total cpu/real time for bwc: 142595/0.000272512
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 6119.91
Info:Linear Algebra: Lingen CPU time 559.12, WCT time 54.11
Info:Linear Algebra: Mksol: WCT time 3381.77
Info:Quadratic Characters: Total cpu/real time for characters: 82.4/20.097
Info:Square Root: Total cpu/real time for sqrt: 2473.14/337.526
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 1.00061e+06/66382.1
Info:root: Cleaning up computation data in /tmp/cado.awnvq2ff
8395117198760569603605241767017546919622203744956655351675664428770373898461233841894775941343 2972683062517710997774481736259465441297387013

END:Tue 09 Nov 2021 16:06:05 AEDT (24,956,022,704,606,677,155,513,402,933,196,162,278,048,610,619,551,926,874,592,585,495,916,878,354,029,050,923,102,065,996,986,479,109,084,419,666,101,264,755,200,353,304,763,257,978,459 - C140)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)

47×10200-29

c194

name 名前Eric Jeancolas
date 日付November 16, 2021 13:19:09 UTC 2021 年 11 月 16 日 (火) 22 時 19 分 9 秒 (日本時間)
composite number 合成数
35092593749901535408494292234425634366203938712084188416645614843671379990265762484335823458986770495347789779594170430272681250521442343831648612572493645515255370223354802086208406073933643967<194>
prime factors 素因数
1481385037928616683378696908936731077920872659813406992183503766769246165472806252611<85>
23689042923621412909104053614222563295057585617547987025164120084473965347446385437387227747098099513147683797<110>
factorization results 素因数分解の結果
35092593749901535408494292234425634366203938712084188416645614843671379990265762484335823458986770495347789779594170430272681250521442343831648612572493645515255370223354802086208406073933643967=1481385037928616683378696908936731077920872659813406992183503766769246165472806252611*23689042923621412909104053614222563295057585617547987025164120084473965347446385437387227747098099513147683797

cado polynomial
n: 35092593749901535408494292234425634366203938712084188416645614843671379990265762484335823458986770495347789779594170430272681250521442343831648612572493645515255370223354802086208406073933643967
skew: 0.53
type: snfs
c0: -2
c5: 47
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 47*x^5-2
# g(x) = -x+10000000000000000000000000000000000000000

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: 23689042923621412909104053614222563295057585617547987025164120084473965347446385437387227747098099513147683797 1481385037928616683378696908936731077920872659813406992183503766769246165472806252611
Info:Square Root: Total cpu/real time for sqrt: 942.16/302.218
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 196.16/233.65
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 233.1s
Info:Linear Algebra: Total cpu/real time for bwc: 700.36/216.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Mksol: CPU time 691.77,  WCT time 183.14, iteration CPU time 0.32, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (51712 iterations)
Warning:Linear Algebra: some stats could not be displayed for linalg (see log file for debug info)
Info:Generate Free Relations: Total cpu/real time for freerel: 234.69/61.3223
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 46697020
Info:Lattice Sieving: Average J: 1894.21 for 3722355 special-q, max bucket fill -bkmult 1.0,1s:1.123960
Info:Lattice Sieving: Total time: 1.2189e+06s
Info:Generate Factor Base: Total cpu/real time for makefb: 6.76/2.95435
Info:Square Root: Total cpu/real time for sqrt: 942.16/302.218
Info:Filtering - Merging: Merged matrix has 3309190 rows and total weight 564756843 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 950.34/262.565
Info:Filtering - Merging: Total cpu/real time for replay: 134.13/116.656
Info:Filtering - Singleton removal: Total cpu/real time for purge: 554.16/654.136
Info:Quadratic Characters: Total cpu/real time for characters: 120.56/50.3787
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 804.71/791.678
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 652.2s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.35432e+06/573.166
23689042923621412909104053614222563295057585617547987025164120084473965347446385437387227747098099513147683797 1481385037928616683378696908936731077920872659813406992183503766769246165472806252611
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
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e62089Eric JeancolasNovember 12, 2021 06:29:38 UTC 2021 年 11 月 12 日 (金) 15 時 29 分 38 秒 (日本時間)

47×10201-29

c186

name 名前Bob Backstrom
date 日付November 11, 2021 13:31:38 UTC 2021 年 11 月 11 日 (木) 22 時 31 分 38 秒 (日本時間)
composite number 合成数
144053378128942669039426773107580204770072552230375185357094818838536497645630447062598910433948105713164364348093765919286688621431531798105215677407266244326351993755773872412163310679<186>
prime factors 素因数
249067937425687483967170290605350588458849011<45>
18348327794016514558504165343321583578289008856641321032341532141<65>
31521663797482403143405477672680756835687857102152768590640745214440519661729<77>
factorization results 素因数分解の結果
Number: n
N=144053378128942669039426773107580204770072552230375185357094818838536497645630447062598910433948105713164364348093765919286688621431531798105215677407266244326351993755773872412163310679  ( 186 digits)
SNFS difficulty: 202 digits.
Divisors found:

Fri Nov 12 00:19:44 2021  found factor: 18348327794016514558504165343321583578289008856641321032341532141
Fri Nov 12 00:22:20 2021  p45 factor: 249067937425687483967170290605350588458849011
Fri Nov 12 00:22:20 2021  p65 factor: 18348327794016514558504165343321583578289008856641321032341532141
Fri Nov 12 00:22:20 2021  p77 factor: 31521663797482403143405477672680756835687857102152768590640745214440519661729
Fri Nov 12 00:22:20 2021  elapsed time 01:49:43 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.342).
Factorization parameters were as follows:
#
# N = 47x10^201-2 = 52(201)
#
n: 144053378128942669039426773107580204770072552230375185357094818838536497645630447062598910433948105713164364348093765919286688621431531798105215677407266244326351993755773872412163310679
m: 10000000000000000000000000000000000000000
deg: 5
c5: 235
c0: -1
skew: 0.34
# Murphy_E = 1.123e-11
type: snfs
lss: 1
rlim: 16500000
alim: 16500000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16500000/16500000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9962769 hash collisions in 66067237 relations (58656927 unique)
Msieve: matrix is 2144619 x 2144848 (734.9 MB)

Sieving start time : 2021/11/11 10:25:37
Sieving end time  : 2021/11/11 22:31:35

Total sieving time: 12hrs 5min 58secs.

Total relation processing time: 1hrs 28min 23sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 14sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16500000,16500000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118892] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2728K init, 4972K bss, 487280K reserved, 0K cma-reserved)
[    0.152618] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.04 BogoMIPS (lpj=12798084)
[    0.150210] smpboot: Total of 16 processors activated (102384.67 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosNovember 8, 2021 14:54:56 UTC 2021 年 11 月 8 日 (月) 23 時 54 分 56 秒 (日本時間)

47×10202-29

c195

name 名前Bob Backstrom
date 日付November 10, 2021 23:31:03 UTC 2021 年 11 月 11 日 (木) 8 時 31 分 3 秒 (日本時間)
composite number 合成数
900209587562312076699664940842305578642100797432850484277707394795407241007815048868030687983951477186281469359169792855146827075894130587137876663540870831113598447661732219526611649151058880721<195>
prime factors 素因数
15920453373108415689029853758079804526207421419095341675171264565915700327551256784387<86>
56544218086331365705082738471302014378570672360241218435153395093619228988054390136025246878329463137763241883<110>
factorization results 素因数分解の結果
Number: n
N=900209587562312076699664940842305578642100797432850484277707394795407241007815048868030687983951477186281469359169792855146827075894130587137876663540870831113598447661732219526611649151058880721  ( 195 digits)
SNFS difficulty: 203 digits.
Divisors found:

Thu Nov 11 10:23:35 2021  p86 factor: 15920453373108415689029853758079804526207421419095341675171264565915700327551256784387
Thu Nov 11 10:23:35 2021  p110 factor: 56544218086331365705082738471302014378570672360241218435153395093619228988054390136025246878329463137763241883
Thu Nov 11 10:23:35 2021  elapsed time 01:44:44 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.327).
Factorization parameters were as follows:
#
# N = 47x10^202-2 = 52(202)
#
n: 900209587562312076699664940842305578642100797432850484277707394795407241007815048868030687983951477186281469359169792855146827075894130587137876663540870831113598447661732219526611649151058880721
m: 10000000000000000000000000000000000000000
deg: 5
c5: 2350
c0: -1
skew: 0.21
# Murphy_E = 1.165e-11
type: snfs
lss: 1
rlim: 17200000
alim: 17200000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17200000/17200000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9847302 hash collisions in 73328697 relations (65195418 unique)
Msieve: matrix is 1966625 x 1966852 (673.6 MB)

Sieving start time : 2021/11/10 20:25:50
Sieving end time  : 2021/11/11 08:35:35

Total sieving time: 12hrs 9min 45secs.

Total relation processing time: 1hrs 18min 45sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 3sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17200000,17200000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118892] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2728K init, 4972K bss, 487280K reserved, 0K cma-reserved)
[    0.152618] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.04 BogoMIPS (lpj=12798084)
[    0.150210] smpboot: Total of 16 processors activated (102384.67 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosNovember 8, 2021 15:11:17 UTC 2021 年 11 月 9 日 (火) 0 時 11 分 17 秒 (日本時間)

47×10203-29

c166

name 名前Ignacio Santos
date 日付December 23, 2021 23:11:38 UTC 2021 年 12 月 24 日 (金) 8 時 11 分 38 秒 (日本時間)
composite number 合成数
2626122653084375469463023648814018028445812003791497678164117663969774866089347594158089804383262141644739861814176595386346705647036878615132783073752848708157938313<166>
prime factors 素因数
299590644875132328632955419736948193841000788144481<51>
8765703128610469152090614256677699283311006632047662990474938639905817086114928086814451113901621594728904964895273<115>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1117322779
Step 1 took 26141ms
Step 2 took 12031ms
********** Factor found in step 2: 299590644875132328632955419736948193841000788144481
Found prime factor of 51 digits: 299590644875132328632955419736948193841000788144481
Prime cofactor 8765703128610469152090614256677699283311006632047662990474938639905817086114928086814451113901621594728904964895273 has 115 digits
 
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovNovember 11, 2021 13:46:58 UTC 2021 年 11 月 11 日 (木) 22 時 46 分 58 秒 (日本時間)
2350Ignacio SantosDecember 16, 2021 15:00:00 UTC 2021 年 12 月 17 日 (金) 0 時 0 分 0 秒 (日本時間)

47×10204-29

c201

name 名前Bob Backstrom
date 日付October 30, 2023 00:27:52 UTC 2023 年 10 月 30 日 (月) 9 時 27 分 52 秒 (日本時間)
composite number 合成数
244508953189541259585271196845314272039620855053011621978753732663274755230930902810292266233833796339648947571037654378791189353976131764314178397894101611678163789784728074830144312305563359032785009<201>
prime factors 素因数
89425788136109744890801541859983019841948838366667208157435588829642802818484352983406481761<92>
2734210771700312318986331674116487384053094207934464133370193190478822954172992016156645031248597121398583569<109>
factorization results 素因数分解の結果
Number: n
N=244508953189541259585271196845314272039620855053011621978753732663274755230930902810292266233833796339648947571037654378791189353976131764314178397894101611678163789784728074830144312305563359032785009  ( 201 digits)
SNFS difficulty: 205 digits.
Divisors found:

Mon Oct 30 11:04:36 2023  prp92 factor: 89425788136109744890801541859983019841948838366667208157435588829642802818484352983406481761
Mon Oct 30 11:04:36 2023  prp109 factor: 2734210771700312318986331674116487384053094207934464133370193190478822954172992016156645031248597121398583569
Mon Oct 30 11:04:36 2023  elapsed time 02:45:13 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.092).
Factorization parameters were as follows:
#
# N = 7x10^204-2 = 52(204)
#
n: 244508953189541259585271196845314272039620855053011621978753732663274755230930902810292266233833796339648947571037654378791189353976131764314178397894101611678163789784728074830144312305563359032785009
m: 10000000000000000000000000000000000
deg: 6
c6: 47
c0: -2
skew: 0.59
# Murphy_E = 8.575e-12
type: snfs
lss: 1
rlim: 18700000
alim: 18700000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18700000/18700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 56550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4010089 hash collisions in 21508901 relations (18133847 unique)
Msieve: matrix is 2283040 x 2283266 (639.9 MB)

Sieving start time: 2023/10/29 09:06:53
Sieving end time  : 2023/10/30 08:18:57

Total sieving time: 23hrs 12min 4secs.

Total relation processing time: 2hrs 36min 11sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 12sec.

Prototype def-par.txt line would be:
snfs,205,6,0,0,0,0,0,0,0,0,18700000,18700000,27,27,56,56,2.6,2.6,100000
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
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e620891000Dmitry DomanovNovember 11, 2021 14:20:18 UTC 2021 年 11 月 11 日 (木) 23 時 20 分 18 秒 (日本時間)
1089ebinaJanuary 20, 2022 07:58:45 UTC 2022 年 1 月 20 日 (木) 16 時 58 分 45 秒 (日本時間)

47×10205-29

c173

name 名前Ignacio Santos
date 日付January 24, 2024 07:31:49 UTC 2024 年 1 月 24 日 (水) 16 時 31 分 49 秒 (日本時間)
composite number 合成数
14979961562982516249470569173468446255268797060465187408891780190572410460185782798189541425723114862049514971540799024838576259317825178903694179919336917561818861852305937<173>
prime factors 素因数
30022061102146346869030314783759098435596614427<47>
composite cofactor 合成数の残り
498965128077484460554447089317270590204016574053030278691575058042217272945033537680194377459812378279746192527699405885208131<126>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3618674109
Step 1 took 23562ms
Step 2 took 10500ms
********** Factor found in step 2: 30022061102146346869030314783759098435596614427
Found prime factor of 47 digits: 30022061102146346869030314783759098435596614427
Composite cofactor 498965128077484460554447089317270590204016574053030278691575058042217272945033537680194377459812378279746192527699405885208131 has 126 digits
 
software ソフトウェア
GMP-ECM

c126

name 名前Bob Backstrom
date 日付January 26, 2024 17:12:55 UTC 2024 年 1 月 27 日 (土) 2 時 12 分 55 秒 (日本時間)
composite number 合成数
498965128077484460554447089317270590204016574053030278691575058042217272945033537680194377459812378279746192527699405885208131<126>
prime factors 素因数
66431578989704548160350858257932894486930184689306119605292709<62>
7510962943614710976685074703996663348485859543076212505423938759<64>
factorization results 素因数分解の結果
CADO:



STA:Fri 26 Jan 2024 18:12:13 AEDT (498965128077484460554447089317270590204016574053030278691575058042217272945033537680194377459812378279746192527699405885208131 - C126)



/home/vboxuser/Math/cado-nfs/cado-nfs.py -t 30 --no-colors --screenlog DEBUG 498965128077484460554447089317270590204016574053030278691575058042217272945033537680194377459812378279746192527699405885208131 2>&1 | tee -a log-09



Debug:root: Looking for parameter file for c126 in directory /home/vboxuser/Math/cado-nfs/parameters/factor

Info:root: Using default parameter file /home/vboxuser/Math/cado-nfs/parameters/factor/params.c125

Debug:Parameters: Reading parameter file /home/vboxuser/Math/cado-nfs/parameters/factor/params.c125

Info:root: No database exists yet

Info:root: Created temporary directory /tmp/cado.iq3d2uzh

Info:Database: Opened connection to database /tmp/cado.iq3d2uzh/c125.db

Info:root: Set tasks.threads=30 based on --server-threads 30

Info:root: tasks.threads = 30 [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 = 30 [via tasks.threads]

Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads]

Info:root: slaves.scriptpath is /home/vboxuser/Math/cado-nfs/build/Ubuntu

Info:root: Command line parameters: /home/vboxuser/Math/cado-nfs/cado-nfs.py -t 30 --no-colors --screenlog DEBUG 498965128077484460554447089317270590204016574053030278691575058042217272945033537680194377459812378279746192527699405885208131

Debug:root: Root parameter dictionary:

N = 498965128077484460554447089317270590204016574053030278691575058042217272945033537680194377459812378279746192527699405885208131

===

Best polynomial is:

n: 498965128077484460554447089317270590204016574053030278691575058042217272945033537680194377459812378279746192527699405885208131

skew: 57283.65

c0: -20923333949127265128513034902

c1: 5784777486464909766383165

c2: -157927451834550717930

c3: -4746188958085595

c4: 22340614482

c5: 19440

Y0: 1403313027840526737932400

Y1: 17929273474907257837

# MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=1.342e+13) = 2.853e-06

# f(x) = 19440*x^5+22340614482*x^4-4746188958085595*x^3-157927451834550717930*x^2+5784777486464909766383165*x-20923333949127265128513034902

# g(x) = 17929273474907257837*x+1403313027840526737932400

===



Debug:Command: Process with PID 106200 finished successfully

Info:Square Root: finished

Info:Square Root: Factors: 7510962943614710976685074703996663348485859543076212505423938759 66431578989704548160350858257932894486930184689306119605292709

Debug:Square Root: Exit SqrtTask.run(sqrt)

Info:Complete Factorization / Discrete logarithm: Square Root

Info:Square Root: Total cpu/real time for sqrt: 1671.86/240.716

Info:HTTP server: Got notification to stop serving Workunits

Info:Lattice Sieving: Aggregate statistics:

Info:Lattice Sieving: Total number of relations: 31001538

Info:Lattice Sieving: Average J: 3826.42 for 177072 special-q, max bucket fill -bkmult 1.0,1s:1.401710

Info:Lattice Sieving: Total time: 393426s

Info:Polynomial Selection (size optimized): Aggregate statistics:

Info:Polynomial Selection (size optimized): potential collisions: 39657.6

Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 27127/37.480/46.401/57.940/2.458

Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 22514/36.470/40.751/53.250/1.834

Info:Polynomial Selection (size optimized): Total time: 5016.62

Info:Square Root: Total cpu/real time for sqrt: 1671.86/240.716

Info:Quadratic Characters: Total cpu/real time for characters: 44.69/11.9199

Info:Filtering - Singleton removal: Total cpu/real time for purge: 326.5/619.835

Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 209.92/1085.73

Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:

Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 1083.6s

Info:Filtering - Merging: Total cpu/real time for merge: 117.84/19.9926

Info:Filtering - Merging: Total cpu/real time for replay: 19.14/16.3516

Info:Generate Factor Base: Total cpu/real time for makefb: 2.97/1.05215

Info:Linear Algebra: Total cpu/real time for bwc: 10508.3/4706.36

Info:Linear Algebra: Aggregate statistics:

Info:Linear Algebra: Krylov: CPU time 5922.66, WCT time 2785.82, iteration CPU time 0.02, COMM 0.05, cpu-wait 0.01, comm-wait 0.01 (33000 iterations)

Info:Linear Algebra: Lingen CPU time 199.88, WCT time 30.19

Info:Linear Algebra: Mksol: CPU time 3467.91,  WCT time 1553.7, iteration CPU time 0.03, COMM 0.05, cpu-wait 0.01, comm-wait 0.0 (18000 iterations)

Info:Generate Free Relations: Total cpu/real time for freerel: 398.29/42.0647

Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 785.14/2005.49

Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:

Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 1604.7000000000003s

Info:Polynomial Selection (root optimized): Aggregate statistics:

Info:Polynomial Selection (root optimized): Total time: 994.56

Info:Polynomial Selection (root optimized): Rootsieve time: 992.32

Info:HTTP server: Shutting down HTTP server

Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 176144/33189.2 [09:13:09]

Info:root: Cleaning up computation data in /tmp/cado.iq3d2uzh

7510962943614710976685074703996663348485859543076212505423938759 66431578989704548160350858257932894486930184689306119605292709



END:Sat 27 Jan 2024 03:25:24 AEDT (498965128077484460554447089317270590204016574053030278691575058042217272945033537680194377459812378279746192527699405885208131 - C126)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e620891000Dmitry DomanovNovember 11, 2021 14:20:44 UTC 2021 年 11 月 11 日 (木) 23 時 20 分 44 秒 (日本時間)
1089ebinaJanuary 20, 2022 05:18:42 UTC 2022 年 1 月 20 日 (木) 14 時 18 分 42 秒 (日本時間)

47×10207-29

c186

name 名前Eric Jeancolas
date 日付November 3, 2021 21:29:29 UTC 2021 年 11 月 4 日 (木) 6 時 29 分 29 秒 (日本時間)
composite number 合成数
534527714835341312324329765359360109955382728256360661787819648199470106246822745583408286275143797821911802818625566203454870637068315157404116738888327676648183448034688606115180698969<186>
prime factors 素因数
258920101472811080974305607737761<33>
composite cofactor 合成数の残り
2064450430054661043378456690416541157809354056542086449415726796484287766298746001828282583968299322377494332301594366272587610527401232696003813637279929<154>
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 534527714835341312324329765359360109955382728256360661787819648199470106246822745583408286275143797821911802818625566203454870637068315157404116738888327676648183448034688606115180698969 (186 digits)
Run 243 out of 1200:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:1611291100
Step 1 took 2417ms
Step 2 took 1373ms
********** Factor found in step 2: 258920101472811080974305607737761
Found prime factor of 33 digits: 258920101472811080974305607737761
Composite cofactor 2064450430054661043378456690416541157809354056542086449415726796484287766298746001828282583968299322377494332301594366272587610527401232696003813637279929 has 154 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-72-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)

c154

name 名前Bob Backstrom
date 日付November 29, 2021 10:37:34 UTC 2021 年 11 月 29 日 (月) 19 時 37 分 34 秒 (日本時間)
composite number 合成数
2064450430054661043378456690416541157809354056542086449415726796484287766298746001828282583968299322377494332301594366272587610527401232696003813637279929<154>
prime factors 素因数
319778333697372289696463287423413460656461238553<48>
6455879628193913579067019193112793664714201530161874178720334679822591825198623530795467446904425055506593<106>
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 2064450430054661043378456690416541157809354056542086449415726796484287766298746001828282583968299322377494332301594366272587610527401232696003813637279929 (154 digits)
Using B1=43620000, B2=240491351116, polynomial Dickson(12), sigma=1:77763409
Step 1 took 85760ms
Step 2 took 31893ms
********** Factor found in step 2: 319778333697372289696463287423413460656461238553
Found prime factor of 48 digits: 319778333697372289696463287423413460656461238553
Prime cofactor 6455879628193913579067019193112793664714201530161874178720334679822591825198623530795467446904425055506593 has 106 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e61000 / 2089Dmitry DomanovNovember 11, 2021 12:28:14 UTC 2021 年 11 月 11 日 (木) 21 時 28 分 14 秒 (日本時間)

47×10208-29

c147

name 名前Bob Backstrom
date 日付December 14, 2024 13:44:01 UTC 2024 年 12 月 14 日 (土) 22 時 44 分 1 秒 (日本時間)
composite number 合成数
192914224335633972860889449521417164871173475220229023930517888611242495810894138202282799822306526963950235870577057287912922022287518742580682649<147>
prime factors 素因数
130623581670014611311647571649747303526475498221423<51>
1476871341829991590931473837559038039759400474038590983615660478912688141639672625806263017971063<97>
factorization results 素因数分解の結果
CADO-NFS

STA:Sat Dec 14 03:50:16 AEDT 2024 (192914224335633972860889449521417164871173475220229023930517888611242495810894138202282799822306526963950235870577057287912922022287518742580682649 - C147)

./cado-nfs.py -t 16 --no-colors 192914224335633972860889449521417164871173475220229023930517888611242495810894138202282799822306526963950235870577057287912922022287518742580682649 2>&1 | tee

Info:root: Using default parameter file ./parameters/factor/params.c148
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.r592lncx
Info:Database: Opened connection to database /tmp/cado.r592lncx/c148.db
Info:root: Set tasks.threads=16 based on --server-threads 16
Info:root: tasks.threads = 16 [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 = 16 [via tasks.threads]
Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads]
Info:root: slaves.scriptpath is /home/bob/Math/cado-nfs/build/TrigKey-2
Info:root: Command line parameters: ./cado-nfs.py -t 16 --no-colors 19291422433563397286088944952141716487117347522022902393051788861124249581089413820228279982230652696395023587057705728791
Info:root: If this computation gets interrupted, it can be resumed with ./cado-nfs.py /tmp/cado.r592lncx/c148.parameters_snapshot.0
Info:Server Launcher: Adding TrigKey-2 to whitelist to allow clients on localhost to connect
Info:HTTP server: Using non-threaded HTTPS server
Info:HTTP server: Using whitelist: localhost,TrigKey-2
Info:Lattice Sieving: param rels_wanted is 119000000
Info:Complete Factorization / Discrete logarithm: Factoring 1929142243356339728608894495214171648711734752202290239305178886112424958108941382022827998223065269639502358705770572879129220222
Info:HTTP server: serving at https://TrigKey-2:38027 (0.0.0.0)
Info:HTTP server: For debugging purposes, the URL above can be accessed if the server.only_registered=False parameter is added
Info:HTTP server: You can start additional cado-nfs-client.py scripts with parameters: --server=https://TrigKey-2:38027 --certsha1=bb02abee0f2065bf3098bd6f612710408f3aabbd
Info:HTTP server: If you want to start additional clients, remember to add their hosts to server.whitelist
==
Info:Polynomial Selection (root optimized): Finished, best polynomial has Murphy_E = 7.462e-07
Info:Polynomial Selection (root optimized): Best polynomial is:
n: 192914224335633972860889449521417164871173475220229023930517888611242495810894138202282799822306526963950235870577057287912922022287518742580682649
skew: 1255992.951
c0: 38498590952339559976373779485727050
c1: 45380596268886526876134432143
c2: -1786559507691695183213052
c3: 8488558304804689
c4: 547753064610
c5: 75600
Y0: -22931243929301967714474136396
Y1: 5458748167350311642509
# MurphyE (Bf=2.147e+09,Bg=1.074e+09,area=3.087e+14) = 7.462e-07
# f(x) = 75600*x^5+547753064610*x^4+8488558304804689*x^3-1786559507691695183213052*x^2+45380596268886526876134432143*x+38498590952339559976373779485727050
# g(x) = 5458748167350311642509*x-22931243929301967714474136396
===
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 53997.06, WCT time 3905.04, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (76000 iterations)
Info:Linear Algebra: Lingen CPU time 138.98, WCT time 50.55
Info:Linear Algebra: Mksol: CPU time 28637.02,  WCT time 2115.29, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (40000 iterations)
Info:Quadratic Characters: Starting
Info:Complete Factorization / Discrete logarithm: Quadratic Characters
Info:Quadratic Characters: Total cpu/real time for characters: 55.08/14.8882
Info:Square Root: Starting
Info:Square Root: Creating file of (a,b) values
Info:Square Root: finished
Info:Square Root: Factors: 1476871341829991590931473837559038039759400474038590983615660478912688141639672625806263017971063 130623581670014611311647571649747303526475498221423
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 2854.73/225.738
Info:HTTP server: Got notification to stop serving Workunits
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 119050552
Info:Lattice Sieving: Average J: 8081.58 for 521277 special-q, max bucket fill -bkmult 1.0,1s:1.077410
Info:Lattice Sieving: Total time: 472387s
Info:Square Root: Total cpu/real time for sqrt: 2854.73/225.738
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 490.63/320.052
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 319.9s
Info:Quadratic Characters: Total cpu/real time for characters: 55.08/14.8882
Info:Generate Factor Base: Total cpu/real time for makefb: 3.18/0.922612
Info:Filtering - Merging: Total cpu/real time for merge: 290.84/28.4588
Info:Filtering - Merging: Total cpu/real time for replay: 48.56/43.8744
Info:Linear Algebra: Total cpu/real time for bwc: 88116.4/6471.67
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 53997.06, WCT time 3905.04, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (76000 iterations)
Info:Linear Algebra: Lingen CPU time 138.98, WCT time 50.55
Info:Linear Algebra: Mksol: CPU time 28637.02,  WCT time 2115.29, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (40000 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 717.74/51.2926
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 2027.17/1026.95
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 936.1s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 568.47/151.129
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 117089
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 111205/44.900/54.596/66.790/2.445
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 94614/42.400/47.524/58.630/1.283
Info:Polynomial Selection (size optimized): Total time: 45594.6
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 3088.41
Info:Polynomial Selection (root optimized): Rootsieve time: 3131.38
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 1.02159e+06/71895.9 [19:58:16]
Info:root: Cleaning up computation data in /tmp/cado.r592lncx
1476871341829991590931473837559038039759400474038590983615660478912688141639672625806263017971063 130623581670014611311647571649747303526475498221423

END:Sat Dec 14 23:48:34 AEDT 2024 (192914224335633972860889449521417164871173475220229023930517888611242495810894138202282799822306526963950235870577057287912922022287518742580682649 - C147)
software ソフトウェア
CADO-NFS

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e620891000Dmitry DomanovNovember 11, 2021 12:28:48 UTC 2021 年 11 月 11 日 (木) 21 時 28 分 48 秒 (日本時間)
1089ebinaJanuary 20, 2022 03:37:53 UTC 2022 年 1 月 20 日 (木) 12 時 37 分 53 秒 (日本時間)

47×10209-29

c199

name 名前Bob Backstrom
date 日付December 14, 2024 13:50:10 UTC 2024 年 12 月 14 日 (土) 22 時 50 分 10 秒 (日本時間)
composite number 合成数
6964512022541718813538232753602367468163588049637965450572335690920435157444282409954064580322397098318781687292408845156334910061315035165904228086637772615761662284889826762428743606984916785006531<199>
prime factors 素因数
4584643515315320257841145878635819203658212542561053004728730202913775017730596471835549601601<94>
1519095650354554814581493440891578328405425920898284400226627156939951938970715648833501864078746000316931<106>
factorization results 素因数分解の結果
12/10/24 20:13:29,
12/10/24 20:13:29, ****************************
12/10/24 20:13:29, Starting factorization of 4699999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999998
12/10/24 20:13:29, using pretesting plan: normal
12/10/24 20:13:29, no tune info: using qs/gnfs crossover of 100 digits
12/10/24 20:13:29, no tune info: using qs/snfs crossover of 95 digits
12/10/24 20:13:29, ****************************
12/10/24 20:13:29, div: found prime factor = 2
12/10/24 20:13:29, div: found prime factor = 3
12/10/24 20:13:29, div: found prime factor = 3
12/10/24 20:13:29, div: found prime factor = 3
12/10/24 20:13:29, div: found prime factor = 3
12/10/24 20:13:29, div: found prime factor = 647
12/10/24 20:13:29, rho: x^2 + 3, starting 1000 iterations on C206
12/10/24 20:13:29, prp7 = 6438547
12/10/24 20:13:29, rho: x^2 + 3, starting 1000 iterations on C199
12/10/24 20:13:29, rho: x^2 + 2, starting 1000 iterations on C199
12/10/24 20:13:29, rho: x^2 + 1, starting 1000 iterations on C199
12/10/24 20:13:29, nfs: input divides 47*10^209 - 2
12/10/24 20:13:29, nfs: using supplied cofactor: 6964512022541718813538232753602367468163588049637965450572335690920435157444282409954064580322397098318781687292408845156334910061315035165904228086637772615761662284889826762428743606984916785006531
12/10/24 20:13:29, nfs: input divides 47*10^209 - 2
12/10/24 20:13:29, nfs: using supplied cofactor: 6964512022541718813538232753602367468163588049637965450572335690920435157444282409954064580322397098318781687292408845156334910061315035165904228086637772615761662284889826762428743606984916785006531
12/10/24 20:13:29, nfs: commencing snfs on c199: 6964512022541718813538232753602367468163588049637965450572335690920435157444282409954064580322397098318781687292408845156334910061315035165904228086637772615761662284889826762428743606984916785006531
12/10/24 20:13:29, pm1: starting B1 = 150K, B2 = gmp-ecm default on C199
12/10/24 20:13:30, nfs: input divides 47*10^209 - 2
12/10/24 20:13:30, nfs: using supplied cofactor: 6964512022541718813538232753602367468163588049637965450572335690920435157444282409954064580322397098318781687292408845156334910061315035165904228086637772615761662284889826762428743606984916785006531
12/10/24 20:13:30, nfs: commencing snfs on c199: 6964512022541718813538232753602367468163588049637965450572335690920435157444282409954064580322397098318781687292408845156334910061315035165904228086637772615761662284889826762428743606984916785006531
12/10/24 20:13:30, current ECM pretesting depth: 0.000000
12/10/24 20:13:30, scheduled 30 curves at B1=2000 toward target pretesting depth of 47.624461
12/10/24 20:13:30, ecm: commencing 32 curves using AVX-ECM method on 6964512022541718813538232753602367468163588049637965450572335690920435157444282409954064580322397098318781687292408845156334910061315035165904228086637772615761662284889826762428743606984916785006531, B1=2k, B2=200k
12/10/24 20:13:30, ecm: finished 128 curves using AVX-ECM method on C199 input, B1=2k, B2=200k
12/10/24 20:13:30, nfs: input divides 47*10^209 - 2
12/10/24 20:13:30, nfs: using supplied cofactor: 6964512022541718813538232753602367468163588049637965450572335690920435157444282409954064580322397098318781687292408845156334910061315035165904228086637772615761662284889826762428743606984916785006531
12/10/24 20:13:30, nfs: commencing snfs on c199: 6964512022541718813538232753602367468163588049637965450572335690920435157444282409954064580322397098318781687292408845156334910061315035165904228086637772615761662284889826762428743606984916785006531
12/10/24 20:13:30, current ECM pretesting depth: 15.758294
12/10/24 20:13:30, scheduled 74 curves at B1=11000 toward target pretesting depth of 47.624461
12/10/24 20:13:30, ecm: commencing 80 curves using AVX-ECM method on 6964512022541718813538232753602367468163588049637965450572335690920435157444282409954064580322397098318781687292408845156334910061315035165904228086637772615761662284889826762428743606984916785006531, B1=11k, B2=1100k
12/10/24 20:13:30, ecm: finished 128 curves using AVX-ECM method on C199 input, B1=11k, B2=1100k
12/10/24 20:13:30, nfs: input divides 47*10^209 - 2
12/10/24 20:13:30, nfs: using supplied cofactor: 6964512022541718813538232753602367468163588049637965450572335690920435157444282409954064580322397098318781687292408845156334910061315035165904228086637772615761662284889826762428743606984916785006531
12/10/24 20:13:30, nfs: commencing snfs on c199: 6964512022541718813538232753602367468163588049637965450572335690920435157444282409954064580322397098318781687292408845156334910061315035165904228086637772615761662284889826762428743606984916785006531
12/10/24 20:13:30, current ECM pretesting depth: 20.426864
12/10/24 20:13:30, scheduled 214 curves at B1=50000 toward target pretesting depth of 47.624461
12/10/24 20:13:31, ecm: commencing 224 curves using AVX-ECM method on 6964512022541718813538232753602367468163588049637965450572335690920435157444282409954064580322397098318781687292408845156334910061315035165904228086637772615761662284889826762428743606984916785006531, B1=50k, B2=5M
12/10/24 20:13:33, ecm: finished 256 curves using AVX-ECM method on C199 input, B1=50k, B2=5M
12/10/24 20:13:33, nfs: input divides 47*10^209 - 2
12/10/24 20:13:33, nfs: using supplied cofactor: 6964512022541718813538232753602367468163588049637965450572335690920435157444282409954064580322397098318781687292408845156334910061315035165904228086637772615761662284889826762428743606984916785006531
12/10/24 20:13:33, nfs: commencing snfs on c199: 6964512022541718813538232753602367468163588049637965450572335690920435157444282409954064580322397098318781687292408845156334910061315035165904228086637772615761662284889826762428743606984916785006531
12/10/24 20:13:33, pm1: starting B1 = 3750K, B2 = gmp-ecm default on C199
12/10/24 20:13:35, nfs: input divides 47*10^209 - 2
12/10/24 20:13:35, nfs: using supplied cofactor: 6964512022541718813538232753602367468163588049637965450572335690920435157444282409954064580322397098318781687292408845156334910061315035165904228086637772615761662284889826762428743606984916785006531
12/10/24 20:13:35, nfs: commencing snfs on c199: 6964512022541718813538232753602367468163588049637965450572335690920435157444282409954064580322397098318781687292408845156334910061315035165904228086637772615761662284889826762428743606984916785006531
12/10/24 20:13:35, current ECM pretesting depth: 25.402199
12/10/24 20:13:35, scheduled 430 curves at B1=250000 toward target pretesting depth of 47.624461
12/10/24 20:13:35, ecm: commencing 432 curves using AVX-ECM method on 6964512022541718813538232753602367468163588049637965450572335690920435157444282409954064580322397098318781687292408845156334910061315035165904228086637772615761662284889826762428743606984916785006531, B1=250k, B2=25M
12/10/24 20:50:00,
12/10/24 20:50:00, ****************************
12/10/24 20:50:00, Starting factorization of 4699999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999998
12/10/24 20:50:00, using pretesting plan: normal
12/10/24 20:50:00, no tune info: using qs/gnfs crossover of 100 digits
12/10/24 20:50:00, no tune info: using qs/snfs crossover of 95 digits
12/10/24 20:50:00, ****************************
12/10/24 20:50:00, div: found prime factor = 2
12/10/24 20:50:00, div: found prime factor = 3
12/10/24 20:50:00, div: found prime factor = 3
12/10/24 20:50:00, div: found prime factor = 3
12/10/24 20:50:00, div: found prime factor = 3
12/10/24 20:50:00, div: found prime factor = 647
12/10/24 20:50:00, rho: x^2 + 3, starting 1000 iterations on C206
12/10/24 20:50:00, prp7 = 6438547
12/10/24 20:50:00, rho: x^2 + 3, starting 1000 iterations on C199
12/10/24 20:50:01, rho: x^2 + 2, starting 1000 iterations on C199
12/10/24 20:50:01, rho: x^2 + 1, starting 1000 iterations on C199
12/10/24 20:50:01, nfs: input divides 47*10^209 - 2
12/10/24 20:50:01, nfs: using supplied cofactor: 6964512022541718813538232753602367468163588049637965450572335690920435157444282409954064580322397098318781687292408845156334910061315035165904228086637772615761662284889826762428743606984916785006531
12/10/24 20:50:01, nfs: input divides 47*10^209 - 2
12/10/24 20:50:01, nfs: using supplied cofactor: 6964512022541718813538232753602367468163588049637965450572335690920435157444282409954064580322397098318781687292408845156334910061315035165904228086637772615761662284889826762428743606984916785006531
12/10/24 20:50:01, nfs: commencing snfs on c199: 6964512022541718813538232753602367468163588049637965450572335690920435157444282409954064580322397098318781687292408845156334910061315035165904228086637772615761662284889826762428743606984916785006531
12/10/24 20:50:01, pm1: starting B1 = 150K, B2 = gmp-ecm default on C199
12/10/24 20:50:01, nfs: input divides 47*10^209 - 2
12/10/24 20:50:01, nfs: using supplied cofactor: 6964512022541718813538232753602367468163588049637965450572335690920435157444282409954064580322397098318781687292408845156334910061315035165904228086637772615761662284889826762428743606984916785006531
12/10/24 20:50:01, nfs: commencing snfs on c199: 6964512022541718813538232753602367468163588049637965450572335690920435157444282409954064580322397098318781687292408845156334910061315035165904228086637772615761662284889826762428743606984916785006531
12/10/24 20:50:01, current ECM pretesting depth: 0.000000
12/10/24 20:50:01, scheduled 30 curves at B1=2000 toward target pretesting depth of 47.624461
12/10/24 20:50:01, ecm: commencing 32 curves using AVX-ECM method on 6964512022541718813538232753602367468163588049637965450572335690920435157444282409954064580322397098318781687292408845156334910061315035165904228086637772615761662284889826762428743606984916785006531, B1=2k, B2=200k
12/10/24 20:50:01, ecm: finished 128 curves using AVX-ECM method on C199 input, B1=2k, B2=200k
12/10/24 20:50:01, nfs: input divides 47*10^209 - 2
12/10/24 20:50:01, nfs: using supplied cofactor: 6964512022541718813538232753602367468163588049637965450572335690920435157444282409954064580322397098318781687292408845156334910061315035165904228086637772615761662284889826762428743606984916785006531
12/10/24 20:50:01, nfs: commencing snfs on c199: 6964512022541718813538232753602367468163588049637965450572335690920435157444282409954064580322397098318781687292408845156334910061315035165904228086637772615761662284889826762428743606984916785006531
12/10/24 20:50:01, current ECM pretesting depth: 15.758294
12/10/24 20:50:01, scheduled 74 curves at B1=11000 toward target pretesting depth of 47.624461
12/10/24 20:50:01, ecm: commencing 80 curves using AVX-ECM method on 6964512022541718813538232753602367468163588049637965450572335690920435157444282409954064580322397098318781687292408845156334910061315035165904228086637772615761662284889826762428743606984916785006531, B1=11k, B2=1100k
12/10/24 20:50:02, ecm: finished 128 curves using AVX-ECM method on C199 input, B1=11k, B2=1100k
12/10/24 20:50:02, nfs: input divides 47*10^209 - 2
12/10/24 20:50:02, nfs: using supplied cofactor: 6964512022541718813538232753602367468163588049637965450572335690920435157444282409954064580322397098318781687292408845156334910061315035165904228086637772615761662284889826762428743606984916785006531
12/10/24 20:50:02, nfs: commencing snfs on c199: 6964512022541718813538232753602367468163588049637965450572335690920435157444282409954064580322397098318781687292408845156334910061315035165904228086637772615761662284889826762428743606984916785006531
12/10/24 20:50:02, current ECM pretesting depth: 20.426864
12/10/24 20:50:02, scheduled 214 curves at B1=50000 toward target pretesting depth of 47.624461
12/10/24 20:50:02, ecm: commencing 224 curves using AVX-ECM method on 6964512022541718813538232753602367468163588049637965450572335690920435157444282409954064580322397098318781687292408845156334910061315035165904228086637772615761662284889826762428743606984916785006531, B1=50k, B2=5M
12/10/24 20:50:05, ecm: finished 256 curves using AVX-ECM method on C199 input, B1=50k, B2=5M
12/10/24 20:50:05, nfs: input divides 47*10^209 - 2
12/10/24 20:50:05, nfs: using supplied cofactor: 6964512022541718813538232753602367468163588049637965450572335690920435157444282409954064580322397098318781687292408845156334910061315035165904228086637772615761662284889826762428743606984916785006531
12/10/24 20:50:05, nfs: commencing snfs on c199: 6964512022541718813538232753602367468163588049637965450572335690920435157444282409954064580322397098318781687292408845156334910061315035165904228086637772615761662284889826762428743606984916785006531
12/10/24 20:50:05, pm1: starting B1 = 3750K, B2 = gmp-ecm default on C199
12/10/24 20:50:06, nfs: input divides 47*10^209 - 2
12/10/24 20:50:06, nfs: using supplied cofactor: 6964512022541718813538232753602367468163588049637965450572335690920435157444282409954064580322397098318781687292408845156334910061315035165904228086637772615761662284889826762428743606984916785006531
12/10/24 20:50:06, nfs: commencing snfs on c199: 6964512022541718813538232753602367468163588049637965450572335690920435157444282409954064580322397098318781687292408845156334910061315035165904228086637772615761662284889826762428743606984916785006531
12/10/24 20:50:06, current ECM pretesting depth: 25.402199
12/10/24 20:50:06, scheduled 430 curves at B1=250000 toward target pretesting depth of 47.624461
12/10/24 20:50:07, ecm: commencing 432 curves using AVX-ECM method on 6964512022541718813538232753602367468163588049637965450572335690920435157444282409954064580322397098318781687292408845156334910061315035165904228086637772615761662284889826762428743606984916785006531, B1=250k, B2=25M
12/10/24 20:51:16, nfs: commencing nfs on c211: 4699999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999998
12/10/24 20:51:16, nfs: input divides 47*10^209 - 2
12/10/24 20:51:16, nfs: using supplied cofactor: 6964512022541718813538232753602367468163588049637965450572335690920435157444282409954064580322397098318781687292408845156334910061315035165904228086637772615761662284889826762428743606984916785006531
12/10/24 20:51:16, nfs: commencing snfs on c199: 6964512022541718813538232753602367468163588049637965450572335690920435157444282409954064580322397098318781687292408845156334910061315035165904228086637772615761662284889826762428743606984916785006531
12/10/24 20:51:16, gen: best 3 polynomials:
n: 6964512022541718813538232753602367468163588049637965450572335690920435157444282409954064580322397098318781687292408845156334910061315035165904228086637772615761662284889826762428743606984916785006531
# 47*10^209-2, difficulty: 211.37, anorm: -2.00e+29, rnorm: 4.46e+48
# scaled difficulty: 215.24, suggest sieving rational side
# size = 1.016e-14, alpha = 0.812, combined = 4.746e-12, rroots = 1
type: snfs
size: 211
skew: 0.4215
c5: 376
c0: -5
Y1: -1
Y0: 500000000000000000000000000000000000000000
n: 6964512022541718813538232753602367468163588049637965450572335690920435157444282409954064580322397098318781687292408845156334910061315035165904228086637772615761662284889826762428743606984916785006531
# 47*10^209-2, difficulty: 213.34, anorm: -1.40e+29, rnorm: 6.31e+48
# scaled difficulty: 217.27, suggest sieving rational side
# size = 9.405e-15, alpha = 1.043, combined = 4.504e-12, rroots = 1
type: snfs
size: 213
skew: 0.8429
c5: 47
c0: -20
Y1: -1
Y0: 1000000000000000000000000000000000000000000
n: 6964512022541718813538232753602367468163588049637965450572335690920435157444282409954064580322397098318781687292408845156334910061315035165904228086637772615761662284889826762428743606984916785006531
# 47*10^209-2, difficulty: 211.37, anorm: 9.96e+35, rnorm: 4.40e+41
# scaled difficulty: 212.50, suggest sieving rational side
# size = 1.029e-10, alpha = 1.241, combined = 3.417e-12, rroots = 2
type: snfs
size: 211
skew: 0.4336
c6: 752
c0: -5
Y1: -1
Y0: 50000000000000000000000000000000000
12/10/24 20:51:18, test: fb generation took 1.9215 seconds
12/10/24 20:51:18, test: commencing test sieving of polynomial 0 on the rational side over range 25000000-25001000
skew: 0.4215
c5: 376
c0: -5
Y1: -1
Y0: 500000000000000000000000000000000000000000
rlim: 25000000
alim: 25000000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
12/10/24 20:53:09, nfs: parsing special-q from .dat file
12/10/24 20:53:11, test: fb generation took 1.8935 seconds
12/10/24 20:53:11, test: commencing test sieving of polynomial 1 on the rational side over range 26400000-26401000
skew: 0.8429
c5: 47
c0: -20
Y1: -1
Y0: 1000000000000000000000000000000000000000000
rlim: 26400000
alim: 26400000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
12/10/24 20:54:57, nfs: parsing special-q from .dat file
12/10/24 20:55:00, test: fb generation took 2.5994 seconds
12/10/24 20:55:00, test: commencing test sieving of polynomial 2 on the rational side over range 23800000-23801000
skew: 0.4336
c6: 752
c0: -5
Y1: -1
Y0: 50000000000000000000000000000000000
rlim: 23800000
alim: 23800000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
12/10/24 20:56:39, nfs: parsing special-q from .dat file
12/10/24 20:56:39, gen: selected polynomial:
n: 6964512022541718813538232753602367468163588049637965450572335690920435157444282409954064580322397098318781687292408845156334910061315035165904228086637772615761662284889826762428743606984916785006531
# 47*10^209-2, difficulty: 211.37, anorm: -2.00e+29, rnorm: 4.46e+48
# scaled difficulty: 215.24, suggest sieving rational side
# size = 1.016e-14, alpha = 0.812, combined = 4.746e-12, rroots = 1
type: snfs
size: 211
skew: 0.4215
c5: 376
c0: -5
Y1: -1
Y0: 500000000000000000000000000000000000000000
12/10/24 21:20:38, nfs: found 383728 relations, need at least 44869960 (filtering ETA: 46h 18m), continuing with sieving ...
12/10/24 21:45:10, nfs: found 771995 relations, need at least 44869960 (filtering ETA: 46h 27m), continuing with sieving ...
12/10/24 22:09:11, nfs: found 1155096 relations, need at least 44869960 (filtering ETA: 45h 40m), continuing with sieving ...
12/10/24 22:33:28, nfs: found 1539042 relations, need at least 44869960 (filtering ETA: 45h 39m), continuing with sieving ...
12/10/24 22:57:39, nfs: found 1924298 relations, need at least 44869960 (filtering ETA: 44h 56m), continuing with sieving ...
12/10/24 23:21:51, nfs: found 2308398 relations, need at least 44869960 (filtering ETA: 44h 40m), continuing with sieving ...
12/10/24 23:46:20, nfs: found 2695068 relations, need at least 44869960 (filtering ETA: 44h 31m), continuing with sieving ...
12/11/24 00:10:42, nfs: found 3078846 relations, need at least 44869960 (filtering ETA: 44h 13m), continuing with sieving ...
12/11/24 00:35:29, nfs: found 3468216 relations, need at least 44869960 (filtering ETA: 43h 54m), continuing with sieving ...
12/11/24 00:59:33, nfs: found 3850295 relations, need at least 44869960 (filtering ETA: 43h 4m), continuing with sieving ...
12/11/24 01:23:53, nfs: found 4234813 relations, need at least 44869960 (filtering ETA: 42h 50m), continuing with sieving ...
12/11/24 01:48:50, nfs: found 4622321 relations, need at least 44869960 (filtering ETA: 43h 12m), continuing with sieving ...
12/11/24 02:13:03, nfs: found 5006865 relations, need at least 44869960 (filtering ETA: 41h 51m), continuing with sieving ...
12/11/24 02:37:25, nfs: found 5389378 relations, need at least 44869960 (filtering ETA: 41h 54m), continuing with sieving ...
12/11/24 03:01:39, nfs: found 5775877 relations, need at least 44869960 (filtering ETA: 40h 51m), continuing with sieving ...
12/11/24 03:26:04, nfs: found 6159079 relations, need at least 44869960 (filtering ETA: 41h 6m), continuing with sieving ...
12/11/24 03:50:40, nfs: found 6543170 relations, need at least 44869960 (filtering ETA: 40h 53m), continuing with sieving ...
12/11/24 04:15:06, nfs: found 6927100 relations, need at least 44869960 (filtering ETA: 40h 15m), continuing with sieving ...
12/11/24 04:39:30, nfs: found 7311213 relations, need at least 44869960 (filtering ETA: 39h 46m), continuing with sieving ...
12/11/24 05:04:02, nfs: found 7696443 relations, need at least 44869960 (filtering ETA: 39h 27m), continuing with sieving ...
12/11/24 05:28:30, nfs: found 8080539 relations, need at least 44869960 (filtering ETA: 39h 2m), continuing with sieving ...
12/11/24 05:52:58, nfs: found 8464197 relations, need at least 44869960 (filtering ETA: 38h 41m), continuing with sieving ...
12/11/24 06:17:28, nfs: found 8845851 relations, need at least 44869960 (filtering ETA: 38h 33m), continuing with sieving ...
12/11/24 06:42:08, nfs: found 9228857 relations, need at least 44869960 (filtering ETA: 38h 15m), continuing with sieving ...
12/11/24 07:06:57, nfs: found 9614077 relations, need at least 44869960 (filtering ETA: 37h 50m), continuing with sieving ...
12/11/24 07:31:33, nfs: found 9997638 relations, need at least 44869960 (filtering ETA: 37h 17m), continuing with sieving ...
12/11/24 07:56:23, nfs: found 10381812 relations, need at least 44869960 (filtering ETA: 37h 9m), continuing with sieving ...
12/11/24 08:22:39, nfs: found 10766960 relations, need at least 44869960 (filtering ETA: 38h 45m), continuing with sieving ...
12/11/24 08:47:48, nfs: found 11149222 relations, need at least 44869960 (filtering ETA: 36h 58m), continuing with sieving ...
12/11/24 09:13:15, nfs: found 11529268 relations, need at least 44869960 (filtering ETA: 37h 13m), continuing with sieving ...
12/11/24 09:38:12, nfs: found 11913649 relations, need at least 44869960 (filtering ETA: 35h 39m), continuing with sieving ...
12/11/24 10:03:29, nfs: found 12298682 relations, need at least 44869960 (filtering ETA: 35h 37m), continuing with sieving ...
12/11/24 10:28:20, nfs: found 12678058 relations, need at least 44869960 (filtering ETA: 35h 8m), continuing with sieving ...
12/11/24 10:53:09, nfs: found 13059993 relations, need at least 44869960 (filtering ETA: 34h 27m), continuing with sieving ...
12/11/24 11:18:13, nfs: found 13440702 relations, need at least 44869960 (filtering ETA: 34h 29m), continuing with sieving ...
12/11/24 11:43:47, nfs: found 13822504 relations, need at least 44869960 (filtering ETA: 34h 38m), continuing with sieving ...
12/11/24 12:08:52, nfs: found 14205644 relations, need at least 44869960 (filtering ETA: 33h 26m), continuing with sieving ...
12/11/24 12:33:32, nfs: found 14583028 relations, need at least 44869960 (filtering ETA: 32h 59m), continuing with sieving ...
12/11/24 12:58:42, nfs: found 14966717 relations, need at least 44869960 (filtering ETA: 32h 41m), continuing with sieving ...
12/11/24 13:23:40, nfs: found 15345871 relations, need at least 44869960 (filtering ETA: 32h 24m), continuing with sieving ...
12/11/24 13:48:44, nfs: found 15726535 relations, need at least 44869960 (filtering ETA: 31h 59m), continuing with sieving ...
12/11/24 14:13:40, nfs: found 16104166 relations, need at least 44869960 (filtering ETA: 31h 38m), continuing with sieving ...
12/11/24 14:38:54, nfs: found 16484529 relations, need at least 44869960 (filtering ETA: 31h 23m), continuing with sieving ...
12/11/24 15:04:30, nfs: found 16865112 relations, need at least 44869960 (filtering ETA: 31h 24m), continuing with sieving ...
12/11/24 15:29:37, nfs: found 17243256 relations, need at least 44869960 (filtering ETA: 30h 34m), continuing with sieving ...
12/11/24 15:54:46, nfs: found 17623772 relations, need at least 44869960 (filtering ETA: 30h 1m), continuing with sieving ...
12/11/24 16:20:11, nfs: found 18003382 relations, need at least 44869960 (filtering ETA: 29h 58m), continuing with sieving ...
12/11/24 16:45:30, nfs: found 18382754 relations, need at least 44869960 (filtering ETA: 29h 27m), continuing with sieving ...
12/11/24 17:10:40, nfs: found 18758076 relations, need at least 44869960 (filtering ETA: 29h 11m), continuing with sieving ...
12/11/24 17:35:57, nfs: found 19135541 relations, need at least 44869960 (filtering ETA: 28h 43m), continuing with sieving ...
12/11/24 18:01:37, nfs: found 19513855 relations, need at least 44869960 (filtering ETA: 28h 39m), continuing with sieving ...
12/11/24 18:27:15, nfs: found 19893426 relations, need at least 44869960 (filtering ETA: 28h 7m), continuing with sieving ...
12/11/24 18:52:35, nfs: found 20270246 relations, need at least 44869960 (filtering ETA: 27h 33m), continuing with sieving ...
12/11/24 19:18:10, nfs: found 20649170 relations, need at least 44869960 (filtering ETA: 27h 15m), continuing with sieving ...
12/11/24 19:43:38, nfs: found 21025737 relations, need at least 44869960 (filtering ETA: 26h 52m), continuing with sieving ...
12/11/24 20:09:41, nfs: found 21402893 relations, need at least 44869960 (filtering ETA: 27h 0m), continuing with sieving ...
12/11/24 20:35:00, nfs: found 21778345 relations, need at least 44869960 (filtering ETA: 25h 56m), continuing with sieving ...
12/11/24 21:00:27, nfs: found 22157123 relations, need at least 44869960 (filtering ETA: 25h 26m), continuing with sieving ...
12/11/24 21:26:09, nfs: found 22535421 relations, need at least 44869960 (filtering ETA: 25h 17m), continuing with sieving ...
12/11/24 21:51:40, nfs: found 22909947 relations, need at least 44869960 (filtering ETA: 24h 55m), continuing with sieving ...
12/11/24 22:16:47, nfs: found 23281549 relations, need at least 44869960 (filtering ETA: 24h 19m), continuing with sieving ...
12/10/24 20:56:39, test: test sieving took 323.14 seconds
12/11/24 22:51:16, nfs: previous data file found - commencing search for last special-q
12/11/24 22:52:24, nfs: parsing special-q from .dat file
12/11/24 22:52:24, nfs: commencing nfs on c199: 6964512022541718813538232753602367468163588049637965450572335690920435157444282409954064580322397098318781687292408845156334910061315035165904228086637772615761662284889826762428743606984916785006531
12/11/24 22:52:24, nfs: resuming with filtering
12/11/24 22:52:24, nfs: commencing msieve filtering
12/12/24 02:41:46, nfs: raising min_rels by 5.00 percent to 122932018
12/12/24 03:06:59, nfs: found 117451367 relations, need at least 122932018 (filtering ETA: 6h 10m), continuing with sieving ...
12/12/24 03:32:31, nfs: found 117826336 relations, need at least 122932018 (filtering ETA: 5h 47m), continuing with sieving ...
12/12/24 03:58:11, nfs: found 118202832 relations, need at least 122932018 (filtering ETA: 5h 22m), continuing with sieving ...
12/12/24 04:24:06, nfs: found 118577408 relations, need at least 122932018 (filtering ETA: 5h 1m), continuing with sieving ...
12/12/24 04:49:55, nfs: found 118953634 relations, need at least 122932018 (filtering ETA: 4h 32m), continuing with sieving ...
12/12/24 05:15:54, nfs: found 119324717 relations, need at least 122932018 (filtering ETA: 4h 12m), continuing with sieving ...
12/12/24 05:42:04, nfs: found 119701313 relations, need at least 122932018 (filtering ETA: 3h 44m), continuing with sieving ...
12/12/24 06:07:36, nfs: found 120073928 relations, need at least 122932018 (filtering ETA: 3h 15m), continuing with sieving ...
12/12/24 06:33:24, nfs: found 120447997 relations, need at least 122932018 (filtering ETA: 2h 51m), continuing with sieving ...
12/12/24 06:58:45, nfs: found 120818182 relations, need at least 122932018 (filtering ETA: 2h 24m), continuing with sieving ...
12/12/24 07:24:37, nfs: found 121194474 relations, need at least 122932018 (filtering ETA: 1h 59m), continuing with sieving ...
12/12/24 07:50:25, nfs: found 121566526 relations, need at least 122932018 (filtering ETA: 1h 34m), continuing with sieving ...
12/12/24 08:16:17, nfs: found 121941879 relations, need at least 122932018 (filtering ETA: 1h 8m), continuing with sieving ...
12/12/24 08:41:53, nfs: found 122311921 relations, need at least 122932018 (filtering ETA: 0h 42m), continuing with sieving ...
12/12/24 09:07:41, nfs: found 122684334 relations, need at least 122932018 (filtering ETA: 0h 17m), continuing with sieving ...
12/12/24 09:33:52, nfs: commencing msieve filtering
12/12/24 13:19:10, nfs: raising min_rels by 5.00 percent to 129212070
12/12/24 13:45:08, nfs: found 123431046 relations, need at least 129212070 (filtering ETA: 6h 43m), continuing with sieving ...
12/12/24 14:11:05, nfs: found 123801290 relations, need at least 129212070 (filtering ETA: 6h 19m), continuing with sieving ...
12/12/24 14:36:55, nfs: found 124166557 relations, need at least 129212070 (filtering ETA: 5h 57m), continuing with sieving ...
12/12/24 15:02:40, nfs: found 124537125 relations, need at least 129212070 (filtering ETA: 5h 24m), continuing with sieving ...
12/12/24 15:28:30, nfs: found 124905234 relations, need at least 129212070 (filtering ETA: 5h 2m), continuing with sieving ...
12/12/24 15:54:24, nfs: found 125272550 relations, need at least 129212070 (filtering ETA: 4h 37m), continuing with sieving ...
12/12/24 16:20:17, nfs: found 125641140 relations, need at least 129212070 (filtering ETA: 4h 10m), continuing with sieving ...
12/12/24 16:46:09, nfs: found 126006767 relations, need at least 129212070 (filtering ETA: 3h 46m), continuing with sieving ...
12/12/24 17:12:07, nfs: found 126369752 relations, need at least 129212070 (filtering ETA: 3h 23m), continuing with sieving ...
12/12/24 17:38:24, nfs: found 126738082 relations, need at least 129212070 (filtering ETA: 2h 56m), continuing with sieving ...
12/12/24 18:04:22, nfs: found 127101583 relations, need at least 129212070 (filtering ETA: 2h 30m), continuing with sieving ...
12/12/24 18:30:11, nfs: found 127464108 relations, need at least 129212070 (filtering ETA: 2h 4m), continuing with sieving ...
12/12/24 18:56:00, nfs: found 127826787 relations, need at least 129212070 (filtering ETA: 1h 38m), continuing with sieving ...
12/12/24 19:21:47, nfs: found 128189570 relations, need at least 129212070 (filtering ETA: 1h 12m), continuing with sieving ...
12/12/24 19:47:49, nfs: found 128552087 relations, need at least 129212070 (filtering ETA: 0h 47m), continuing with sieving ...
12/12/24 20:13:24, nfs: found 128909571 relations, need at least 129212070 (filtering ETA: 0h 21m), continuing with sieving ...
12/12/24 20:39:20, nfs: commencing msieve filtering
12/13/24 00:36:02, nfs: raising min_rels by 5.00 percent to 135733504
12/13/24 01:01:51, nfs: found 129630132 relations, need at least 135733504 (filtering ETA: 7h 17m), continuing with sieving ...
12/13/24 01:28:42, nfs: found 129986207 relations, need at least 135733504 (filtering ETA: 7h 13m), continuing with sieving ...
12/13/24 01:54:28, nfs: found 130345490 relations, need at least 135733504 (filtering ETA: 6h 26m), continuing with sieving ...
12/13/24 02:20:32, nfs: found 130703738 relations, need at least 135733504 (filtering ETA: 6h 6m), continuing with sieving ...
12/13/24 02:46:36, nfs: found 131063359 relations, need at least 135733504 (filtering ETA: 5h 38m), continuing with sieving ...
12/13/24 03:13:01, nfs: found 131417735 relations, need at least 135733504 (filtering ETA: 5h 21m), continuing with sieving ...
12/13/24 03:38:42, nfs: found 131772441 relations, need at least 135733504 (filtering ETA: 4h 46m), continuing with sieving ...
12/13/24 04:04:12, nfs: found 132123730 relations, need at least 135733504 (filtering ETA: 4h 22m), continuing with sieving ...
12/13/24 04:30:05, nfs: found 132477126 relations, need at least 135733504 (filtering ETA: 3h 58m), continuing with sieving ...
12/13/24 04:55:20, nfs: found 132828223 relations, need at least 135733504 (filtering ETA: 3h 28m), continuing with sieving ...
12/13/24 05:21:28, nfs: found 133181282 relations, need at least 135733504 (filtering ETA: 3h 8m), continuing with sieving ...
12/13/24 05:47:19, nfs: found 133530355 relations, need at least 135733504 (filtering ETA: 2h 43m), continuing with sieving ...
12/13/24 06:13:05, nfs: found 133883339 relations, need at least 135733504 (filtering ETA: 2h 15m), continuing with sieving ...
12/13/24 06:39:08, nfs: found 134234089 relations, need at least 135733504 (filtering ETA: 1h 51m), continuing with sieving ...
12/13/24 07:05:07, nfs: found 134584900 relations, need at least 135733504 (filtering ETA: 1h 25m), continuing with sieving ...
12/13/24 07:31:10, nfs: found 134937673 relations, need at least 135733504 (filtering ETA: 0h 58m), continuing with sieving ...
12/13/24 07:56:46, nfs: found 135286309 relations, need at least 135733504 (filtering ETA: 0h 32m), continuing with sieving ...
12/13/24 08:22:37, nfs: found 135635402 relations, need at least 135733504 (filtering ETA: 0h 7m), continuing with sieving ...
12/13/24 08:48:26, nfs: commencing msieve filtering
12/13/24 12:36:46, nfs: raising min_rels by 5.00 percent to 142778793
12/13/24 13:02:35, nfs: found 136330432 relations, need at least 142778793 (filtering ETA: 7h 54m), continuing with sieving ...
12/13/24 13:27:51, nfs: found 136677401 relations, need at least 142778793 (filtering ETA: 7h 24m), continuing with sieving ...
12/13/24 13:53:09, nfs: found 137018980 relations, need at least 142778793 (filtering ETA: 7h 6m), continuing with sieving ...
12/13/24 14:18:28, nfs: found 137361509 relations, need at least 142778793 (filtering ETA: 6h 40m), continuing with sieving ...
12/13/24 14:44:11, nfs: found 137705906 relations, need at least 142778793 (filtering ETA: 6h 18m), continuing with sieving ...
12/13/24 15:09:13, nfs: found 138046879 relations, need at least 142778793 (filtering ETA: 5h 47m), continuing with sieving ...
12/13/24 15:35:02, nfs: found 138394211 relations, need at least 142778793 (filtering ETA: 5h 25m), continuing with sieving ...
12/13/24 16:00:23, nfs: found 138735384 relations, need at least 142778793 (filtering ETA: 5h 0m), continuing with sieving ...
12/13/24 16:25:35, nfs: found 139077247 relations, need at least 142778793 (filtering ETA: 4h 32m), continuing with sieving ...
12/13/24 16:50:58, nfs: found 139420315 relations, need at least 142778793 (filtering ETA: 4h 8m), continuing with sieving ...
12/13/24 17:16:35, nfs: found 139759660 relations, need at least 142778793 (filtering ETA: 3h 47m), continuing with sieving ...
12/13/24 17:42:05, nfs: found 140101475 relations, need at least 142778793 (filtering ETA: 3h 19m), continuing with sieving ...
12/13/24 18:07:34, nfs: found 140441362 relations, need at least 142778793 (filtering ETA: 2h 55m), continuing with sieving ...
12/13/24 18:32:45, nfs: found 140779686 relations, need at least 142778793 (filtering ETA: 2h 28m), continuing with sieving ...
12/13/24 18:58:11, nfs: found 141119364 relations, need at least 142778793 (filtering ETA: 2h 4m), continuing with sieving ...
12/13/24 19:23:10, nfs: found 141456800 relations, need at least 142778793 (filtering ETA: 1h 37m), continuing with sieving ...
12/13/24 19:48:49, nfs: found 141795310 relations, need at least 142778793 (filtering ETA: 1h 14m), continuing with sieving ...
12/13/24 20:14:13, nfs: found 142134884 relations, need at least 142778793 (filtering ETA: 0h 48m), continuing with sieving ...
12/13/24 20:39:45, nfs: found 142468444 relations, need at least 142778793 (filtering ETA: 0h 23m), continuing with sieving ...
12/13/24 21:05:06, nfs: commencing msieve filtering
12/14/24 01:06:22, nfs: commencing msieve linear algebra
12/14/24 03:17:30, nfs: commencing msieve sqrt
12/14/24 03:22:46, prp106 = 1519095650354554814581493440891578328405425920898284400226627156939951938970715648833501864078746000316931
12/14/24 03:22:46, prp94 = 4584643515315320257841145878635819203658212542561053004728730202913775017730596471835549601601
12/14/24 03:22:47, NFS elapsed time = 189090.9119 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
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e620891000Dmitry DomanovNovember 11, 2021 14:21:02 UTC 2021 年 11 月 11 日 (木) 23 時 21 分 2 秒 (日本時間)
1089ebinaJanuary 20, 2022 07:59:25 UTC 2022 年 1 月 20 日 (木) 16 時 59 分 25 秒 (日本時間)

47×10212-29

c207

name 名前Dmitry Domanov
date 日付November 11, 2021 15:07:54 UTC 2021 年 11 月 12 日 (金) 0 時 7 分 54 秒 (日本時間)
composite number 合成数
717730603025035970519902669621884247462516901028614850182135593665523489795550620012344966372030618692942325917496409056355290697692175423132732211047004024483470664212333421598926641518608005780938235769311<207>
prime factors 素因数
1439751487243930130595083065358295481<37>
498510061898921550492509262609763875267221389447809733674777080236150069539615437693847142241415937324060005705631433908890142697519312019435379035523028108923772528057431<171>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2189214585
Step 1 took 10589ms
Step 2 took 3715ms
********** Factor found in step 2: 1439751487243930130595083065358295481
Found prime factor of 37 digits: 1439751487243930130595083065358295481
Prime cofactor 498510061898921550492509262609763875267221389447809733674777080236150069539615437693847142241415937324060005705631433908890142697519312019435379035523028108923772528057431 has 171 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e61000 / 2089Dmitry DomanovNovember 11, 2021 14:21:28 UTC 2021 年 11 月 11 日 (木) 23 時 21 分 28 秒 (日本時間)

47×10213-29

c190

composite cofactor 合成数の残り
2649535085267220329858346321858166810199920414504066312710638402049028594433700781201852159890261959100141216535224203336002182967467725144671088579533421385303378609037270617611494477168693<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e621001000Dmitry DomanovNovember 11, 2021 14:21:43 UTC 2021 年 11 月 11 日 (木) 23 時 21 分 43 秒 (日本時間)
1100ebinaFebruary 9, 2022 04:37:59 UTC 2022 年 2 月 9 日 (水) 13 時 37 分 59 秒 (日本時間)

47×10218-29

c199

name 名前Bob Backstrom
date 日付December 29, 2021 14:10:04 UTC 2021 年 12 月 29 日 (水) 23 時 10 分 4 秒 (日本時間)
composite number 合成数
6525321497246460017507045314751721442565591244388358005315505979563705458671017855467248838620256990870725729168322289104478157940271802591320335709636225614095611503543578153916525004257118077926971<199>
prime factors 素因数
107252171220888926971944939519093751743541<42>
2886020910817402696446230039741283894441111882532689189243270269077<67>
21081249467487420554736585424684189379836845774924192039555408578526620935305944908618526003<92>
factorization results 素因数分解の結果
Number: n
N=60840926789326931042113453772840132803673429934888638824389557521851645773925369114119910287760670488897121146523279030760522126639408000150848564096931309231  ( 158 digits)
SNFS difficulty: 219 digits.
Divisors found:

Thu Dec 30 01:04:02 2021  p67 factor: 2886020910817402696446230039741283894441111882532689189243270269077
Thu Dec 30 01:04:02 2021  p92 factor: 21081249467487420554736585424684189379836845774924192039555408578526620935305944908618526003
Thu Dec 30 01:04:02 2021  elapsed time 07:12:40 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# N = 47x10^218-2 = 52(218)
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 65253214972464600175070453147517214425655912443883580053155059795637054586710178554672488386202569908707257291683222891044781579402718025913203357096362256140956115035435781539165250042
57118077926971 (199 digits)
# Using B1=41070000, B2=192394462276, polynomial Dickson(12), sigma=1:3741823941
# Step 1 took 133528ms
# Step 2 took 38584ms
# ********** Factor found in step 2: 107252171220888926971944939519093751743541
# Found prime factor of 42 digits: 107252171220888926971944939519093751743541
# Composite cofactor 60840926789326931042113453772840132803673429934888638824389557521851645773925369114119910287760670488897121146523279030760522126639408000150848564096931309231 has 158 digits
#
n: 60840926789326931042113453772840132803673429934888638824389557521851645773925369114119910287760670488897121146523279030760522126639408000150848564096931309231
m: 1000000000000000000000000000000000000
deg: 6
c6: 2350
c0: -1
skew: 0.27
# Murphy_E = 2.138e-12
type: snfs
lss: 1
rlim: 32000000
alim: 32000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 32000000/32000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 115200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 12457679 hash collisions in 70755806 relations (59513183 unique)
Msieve: matrix is 4186718 x 4186944 (1454.9 MB)

Sieving start time : 2021/12/27 12:36:57
Sieving end time  : 2021/12/29 17:49:43

Total sieving time: 53hrs 12min 46secs.

Total relation processing time: 6hrs 44min 6sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 52sec.

Prototype def-par.txt line would be:
snfs,219,6,0,0,0,0,0,0,0,0,32000000,32000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118230] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5020K rodata, 2736K init, 4964K bss, 487280K reserved, 0K cma-reserved)
[    0.153572] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.15 BogoMIPS (lpj=12798304)
[    0.152049] smpboot: Total of 16 processors activated (102386.43 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e61000 / 2089Dmitry DomanovNovember 11, 2021 15:08:16 UTC 2021 年 11 月 12 日 (金) 0 時 8 分 16 秒 (日本時間)

47×10219-29

c125

name 名前Eric Jeancolas
date 日付November 5, 2021 09:09:31 UTC 2021 年 11 月 5 日 (金) 18 時 9 分 31 秒 (日本時間)
composite number 合成数
55777263064823461829350143505837720176411286875098132021939216645619887586029397952892108968604171453328816102299274810884593<125>
prime factors 素因数
15605083032762602495271281200756288442458712917303508683199<59>
3574300947179842663984890460130434071713804159124939251991798857807<67>
factorization results 素因数分解の結果
55777263064823461829350143505837720176411286875098132021939216645619887586029397952892108968604171453328816102299274810884593=15605083032762602495271281200756288442458712917303508683199*3574300947179842663984890460130434071713804159124939251991798857807

cado polynomial
n: 55777263064823461829350143505837720176411286875098132021939216645619887586029397952892108968604171453328816102299274810884593
skew: 93218.408
c0: 115418073936091107029821125650
c1: -28676598206905293595866047
c2: -162602790571405864472
c3: 9794648588413904
c4: 12270120480
c5: -61200
Y0: -1687375251204238478798099
Y1: 5050862366509579
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.659e-07
# f(x) = -61200*x^5+12270120480*x^4+9794648588413904*x^3-162602790571405864472*x^2-28676598206905293595866047*x+115418073936091107029821125650
# g(x) = 5050862366509579*x-1687375251204238478798099

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

cado log (extracts)
Info:Square Root: Factors: 15605083032762602495271281200756288442458712917303508683199 3574300947179842663984890460130434071713804159124939251991798857807
Info:Square Root: Total cpu/real time for sqrt: 564.28/151.053
Info:Generate Factor Base: Total cpu/real time for makefb: 8.55/2.29593
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 50.41/57.4731
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 57.4s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2945.15
Info:Polynomial Selection (root optimized): Rootsieve time: 2942.69
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 126.91/110.32
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 99.19999999999999s
Info:Filtering - Merging: Merged matrix has 790280 rows and total weight 135127831 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 164.86/47.7082
Info:Filtering - Merging: Total cpu/real time for replay: 30.05/24.6204
Info:Linear Algebra: Total cpu/real time for bwc: 9320.01/2403.63
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 5854.8, WCT time 1501.72, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (24832 iterations)
Info:Linear Algebra: Lingen CPU time 144.93, WCT time 36.81
Info:Linear Algebra: Mksol: CPU time 3195.49,  WCT time 819.09, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12544 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 30.21/12.0035
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19925.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20335/37.010/44.445/48.690/0.873
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16111/36.520/39.823/45.220/0.959
Info:Polynomial Selection (size optimized): Total time: 1970.82
Info:Generate Free Relations: Total cpu/real time for freerel: 125.88/32.1327
Info:Filtering - Singleton removal: Total cpu/real time for purge: 51.64/58.516
Info:Square Root: Total cpu/real time for sqrt: 564.28/151.053
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11633623
Info:Lattice Sieving: Average J: 3798.35 for 191222 special-q, max bucket fill -bkmult 1.0,1s:1.210310
Info:Lattice Sieving: Total time: 56998s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 121662/33000.9
Info:root: Cleaning up computation data in /tmp/cado.l5ny46oc
15605083032762602495271281200756288442458712917303508683199 3574300947179842663984890460130434071713804159124939251991798857807
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-72-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
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosNovember 4, 2021 18:17:12 UTC 2021 年 11 月 5 日 (金) 3 時 17 分 12 秒 (日本時間)

47×10220-29

c203

name 名前Erik Branger
date 日付November 26, 2022 17:05:07 UTC 2022 年 11 月 27 日 (日) 2 時 5 分 7 秒 (日本時間)
composite number 合成数
44592826505473635539538015550411594865652570580947971723528337264990282214948114454713905147785384641557346815574906529179387862725582665570718822743113587714409936204309848467840738598038397511834798791<203>
prime factors 素因数
249573983066388901476384142611651520512091246143098377596775025729511865327631778115783<87>
178675781656341745665609777624245526176672575136820688625364795823931465510517587195987972298095077742051032190424577<117>
factorization results 素因数分解の結果
Number: 52222_220
N = 44592826505473635539538015550411594865652570580947971723528337264990282214948114454713905147785384641557346815574906529179387862725582665570718822743113587714409936204309848467840738598038397511834798791 (203 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=249573983066388901476384142611651520512091246143098377596775025729511865327631778115783 (pp87)
r2=178675781656341745665609777624245526176672575136820688625364795823931465510517587195987972298095077742051032190424577 (pp117)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 30.32 hours.
Factorization parameters were as follows:
n: 44592826505473635539538015550411594865652570580947971723528337264990282214948114454713905147785384641557346815574906529179387862725582665570718822743113587714409936204309848467840738598038397511834798791
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 47
c0: -2
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
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: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 31519257
Relations: 7522734 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 13.87 hours.
Total relation processing time: 0.26 hours.
Pruned matrix : 6592848 x 6593073
Matrix solve time: 16.07 hours.
time per square root: 0.12 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 30.32 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
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e621201000Dmitry DomanovNovember 11, 2021 18:42:23 UTC 2021 年 11 月 12 日 (金) 3 時 42 分 23 秒 (日本時間)
1120ebinaFebruary 9, 2022 03:42:57 UTC 2022 年 2 月 9 日 (水) 12 時 42 分 57 秒 (日本時間)

47×10221-29

c204

name 名前Erik Branger
date 日付April 12, 2023 16:08:14 UTC 2023 年 4 月 13 日 (木) 1 時 8 分 14 秒 (日本時間)
composite number 合成数
137960508476756138973877285403642235020810839357215380121815237993363215930190462153323977084545932273444869483189614281562561656160497758383164714027036281231955882079135509589166939640143362353819689139<204>
prime factors 素因数
159649774986344433508698281427455588332936767426971<51>
864144709809685134331007163772007528361678920075414090775228507647972455036742243793509298214561629366660024295237460685217164641382086943410231075998409<153>
factorization results 素因数分解の結果
Number: 52222_221
N = 137960508476756138973877285403642235020810839357215380121815237993363215930190462153323977084545932273444869483189614281562561656160497758383164714027036281231955882079135509589166939640143362353819689139 (204 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=159649774986344433508698281427455588332936767426971 (pp51)
r2=864144709809685134331007163772007528361678920075414090775228507647972455036742243793509298214561629366660024295237460685217164641382086943410231075998409 (pp153)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 49.91 hours.
Factorization parameters were as follows:
n: 137960508476756138973877285403642235020810839357215380121815237993363215930190462153323977084545932273444869483189614281562561656160497758383164714027036281231955882079135509589166939640143362353819689139
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 235
c0: -1
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: 30291132
Relations: 7747750 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 12.75 hours.
Total relation processing time: 0.41 hours.
Pruned matrix : 6669377 x 6669602
Matrix solve time: 36.16 hours.
time per square root: 0.58 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: 49.91 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
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e620961000Dmitry DomanovNovember 11, 2021 18:42:31 UTC 2021 年 11 月 12 日 (金) 3 時 42 分 31 秒 (日本時間)
1096ebinaAugust 11, 2022 00:48:55 UTC 2022 年 8 月 11 日 (木) 9 時 48 分 55 秒 (日本時間)

47×10222-29

c216

name 名前Dmitry Domanov
date 日付November 11, 2021 20:24:12 UTC 2021 年 11 月 12 日 (金) 5 時 24 分 12 秒 (日本時間)
composite number 合成数
188670273030693209186045692905346620890923027401916486942174560418134431069970072800150981178149191668709323441808544102716014556770616199439989698442522079018273583023426352835906486759365108634777649233107926951013<216>
prime factors 素因数
78753537975525967256558754916801109<35>
composite cofactor 合成数の残り
2395705359793813715458436657374315492080777943359550650987408415365731532469247262169597937880475322047236081677917028176836300566783749112940788770722335541161308386923335303074257<181>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3795260619
Step 1 took 12561ms
Step 2 took 4874ms
********** Factor found in step 2: 78753537975525967256558754916801109
Found prime factor of 35 digits: 78753537975525967256558754916801109
Composite cofactor 2395705359793813715458436657374315492080777943359550650987408415365731532469247262169597937880475322047236081677917028176836300566783749112940788770722335541161308386923335303074257 has 181 digits

c181

name 名前Bob Backstrom
date 日付December 6, 2021 14:39:25 UTC 2021 年 12 月 6 日 (月) 23 時 39 分 25 秒 (日本時間)
composite number 合成数
2395705359793813715458436657374315492080777943359550650987408415365731532469247262169597937880475322047236081677917028176836300566783749112940788770722335541161308386923335303074257<181>
prime factors 素因数
100010419734248815434682369998614089504261<42>
23954557596696081993441770003450339286302488787426745445459745440861812911546273544309454074065899735889805894081148310827453677097721260637<140>
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 2395705359793813715458436657374315492080777943359550650987408415365731532469247262169597937880475322047236081677917028176836300566783749112940788770722335541161308386923335303074257 (181 digits)
Using B1=35890000, B2=192388936756, polynomial Dickson(12), sigma=1:3380806513
Step 1 took 100487ms
Step 2 took 33925ms
********** Factor found in step 2: 100010419734248815434682369998614089504261
Found prime factor of 42 digits: 100010419734248815434682369998614089504261
Prime cofactor 23954557596696081993441770003450339286302488787426745445459745440861812911546273544309454074065899735889805894081148310827453677097721260637 has 140 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e61000 / 2089Dmitry DomanovNovember 11, 2021 18:42:39 UTC 2021 年 11 月 12 日 (金) 3 時 42 分 39 秒 (日本時間)

47×10224-29

c165

name 名前Bob Backstrom
date 日付December 1, 2021 16:49:48 UTC 2021 年 12 月 2 日 (木) 1 時 49 分 48 秒 (日本時間)
composite number 合成数
229141962172406256890537963367559352472752434276581021847194620064125216259114497500567254059050898831102251834765051933808171650016687871559068552255234609030538439<165>
prime factors 素因数
37931827941185339692027850797248186412483<41>
29546937884578116698072677808460629659986346439<47>
204450593964438359667668168571678504166087802964572028846166887832477846471147<78>
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 229141962172406256890537963367559352472752434276581021847194620064125216259114497500567254059050898831102251834765051933808171650016687871559068552255234609030538439 (165 digits)
Using B1=35300000, B2=192388936756, polynomial Dickson(12), sigma=1:4106353921
Step 1 took 84728ms
Step 2 took 31376ms
********** Factor found in step 2: 37931827941185339692027850797248186412483
Found prime factor of 41 digits: 37931827941185339692027850797248186412483
Composite cofactor 6040889000332361820349161114934843880701405232641978808260544855974507988235067027346632097813477007364111748362077559695533 has 124 digits


CADO

STA:Thu 02 Dec 2021 00:52:31 AEDT (6,040,889,000,332,361,820,349,161,114,934,843,880,701,405,232,641,978,808,260,544,855,974,507,988,235,067,027,346,632,097,813,477,007,364,111,748,362,077,559,695,533 - C124)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 6040889000332361820349161114934843880701405232641978808260544855974507988235067027346632097813477007364111748362077559695533 2>&1 | tee -a log110

Debug:root: Looking for parameter file for c124 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c125
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c125
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.ejxn0673
Info:Database: Opened connection to database /tmp/cado.ejxn0673/c125.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 6040889000332361820349161114934843880701405232641978808260544855974507988235067027346
632097813477007364111748362077559695533
Debug:root: Root parameter dictionary:
N = 6040889000332361820349161114934843880701405232641978808260544855974507988235067027346632097813477007364111748362077559695533
lim0 = 2377918
lim1 = 9209388
lpb0 = 27
lpb1 = 27
name = c125
...
n: 6040889000332361820349161114934843880701405232641978808260544855974507988235067027346632097813477007364111748362077559695533
skew: 69029.43
c0: -218355283039684130144442693440
c1: -10447098661560802973274424
c2: 337242943219528705850
c3: -2883915827896151
c4: -44156558310
c5: -171000
Y0: -706926255355766812666731
Y1: 1287294428818139
# MurphyE (Bf=9.21e+06,Bg=2.38e+06,area=3.09e+14) = 6.9e-10
# f(x) = -171000*x^5-44156558310*x^4-2883915827896151*x^3+337242943219528705850*x^2-10447098661560802973274424*x-218355283039684130144442693440
# g(x) = 1287294428818139*x-706926255355766812666731
...
Info:Square Root: finished
Info:Square Root: Factors: 29546937884578116698072677808460629659986346439 204450593964438359667668168571678504166087802964572028846166887832477846471147
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 590.76/81.316
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21528.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 22066/36.440/44.048/48.090/0.884
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 22066/35.740/39.805/44.850/1.273
Info:Polynomial Selection (size optimized): Total time: 1759.52
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 938.71
Info:Polynomial Selection (root optimized): Rootsieve time: 937.86
Info:Generate Factor Base: Total cpu/real time for makefb: 11.91/1.11288
Info:Generate Free Relations: Total cpu/real time for freerel: 149.64/10.0468
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13066094
Info:Lattice Sieving: Average J: 3788.27 for 194283 special-q, max bucket fill: 0.721699
Info:Lattice Sieving: Total CPU time: 136449s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 34.14/41.7435
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 41.6s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 190.3/60.4436
Info:Filtering - Singleton removal: Total cpu/real time for purge: 136.58/53.1457
Info:Filtering - Merging: Total cpu/real time for merge: 234.31/192.79
Info:Filtering - Merging: Total cpu/real time for replay: 21.47/16.5651
Info:Linear Algebra: Total cpu/real time for bwc: 9649.01/0.000342369
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 403.2
Info:Linear Algebra: Lingen CPU time 142.06, WCT time 14.21
Info:Linear Algebra: Mksol: WCT time 218.32
Info:Quadratic Characters: Total cpu/real time for characters: 23.58/5.57354
Info:Square Root: Total cpu/real time for sqrt: 590.76/81.316
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 150189/10338.1
Info:root: Cleaning up computation data in /tmp/cado.ejxn0673
29546937884578116698072677808460629659986346439 204450593964438359667668168571678504166087802964572028846166887832477846471147

END:Thu 02 Dec 2021 03:44:50 AEDT (6,040,889,000,332,361,820,349,161,114,934,843,880,701,405,232,641,978,808,260,544,855,974,507,988,235,067,027,346,632,097,813,477,007,364,111,748,362,077,559,695,533 - C124)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e61000 / 2089Dmitry DomanovNovember 11, 2021 16:25:03 UTC 2021 年 11 月 12 日 (金) 1 時 25 分 3 秒 (日本時間)

47×10225-29

c225

composite cofactor 合成数の残り
373015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e620961000Dmitry DomanovNovember 11, 2021 18:42:59 UTC 2021 年 11 月 12 日 (金) 3 時 42 分 59 秒 (日本時間)
1096ebinaAugust 11, 2022 02:25:41 UTC 2022 年 8 月 11 日 (木) 11 時 25 分 41 秒 (日本時間)

47×10226-29

c217

name 名前Eric Jeancolas
date 日付November 3, 2021 21:23:10 UTC 2021 年 11 月 4 日 (木) 6 時 23 分 10 秒 (日本時間)
composite number 合成数
8005323637781877708707344672453288423636688803567039031662437591982588691429306924226035977684168653377726074110804860778567199399585656718795960346105183058415737015339331770230804293114595654962473260942030362267397<217>
prime factors 素因数
816188941786751199212498680330776947<36>
9808174587929493386223497810160236067251154230403260987915664231804732379961296169300455746219703483990099476418922632516102678352860478477893287844220062359458711532023641883197351<181>
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 8005323637781877708707344672453288423636688803567039031662437591982588691429306924226035977684168653377726074110804860778567199399585656718795960346105183058415737015339331770230804293114595654962473260942030362267397 (217 digits)
Run 458 out of 1200:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:56029830
Step 1 took 3238ms
Step 2 took 1662ms
********** Factor found in step 2: 816188941786751199212498680330776947
Found prime factor of 36 digits: 816188941786751199212498680330776947
Prime cofactor 9808174587929493386223497810160236067251154230403260987915664231804732379961296169300455746219703483990099476418922632516102678352860478477893287844220062359458711532023641883197351 has 181 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-72-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
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)

47×10228-29

c220

composite cofactor 合成数の残り
6200614992456910964002813309260815037536859552524460643152689742864340644107225607601013809205742098669707209733182294056711031056369380072700532662669960799582728268417230834964838490508702931616757400753984809327581017<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e620961000Dmitry DomanovNovember 11, 2021 18:48:12 UTC 2021 年 11 月 12 日 (金) 3 時 48 分 12 秒 (日本時間)
1096ebinaAugust 11, 2022 03:19:43 UTC 2022 年 8 月 11 日 (木) 12 時 19 分 43 秒 (日本時間)

47×10230-29

c228

composite cofactor 合成数の残り
114371927775344332505961940915948800311480994792427118314109115685988222124884411349588747749063123570350902808195843675475738550639996106487565094661021073636053925147223438944858130140653136710955370613714897551954056553268117<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e620961000Dmitry DomanovNovember 11, 2021 18:47:12 UTC 2021 年 11 月 12 日 (金) 3 時 47 分 12 秒 (日本時間)
1096ebinaAugust 11, 2022 04:05:04 UTC 2022 年 8 月 11 日 (木) 13 時 5 分 4 秒 (日本時間)

47×10235-29

c175

composite cofactor 合成数の残り
1996002262979637244941616011707113411016922455602691430517850205109191477598683821324361636400350441526535687518820641520128182308565461304997047359160253222548194128224030701<175>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e620961000Dmitry DomanovNovember 11, 2021 19:28:53 UTC 2021 年 11 月 12 日 (金) 4 時 28 分 53 秒 (日本時間)
1096ebinaAugust 11, 2022 04:43:49 UTC 2022 年 8 月 11 日 (木) 13 時 43 分 49 秒 (日本時間)

47×10236-29

c192

name 名前anonymous
date 日付November 4, 2021 01:36:26 UTC 2021 年 11 月 4 日 (木) 10 時 36 分 26 秒 (日本時間)
composite number 合成数
299917355659191076558757656901820603021143591315860733519894002159768342635471382845057631585247417015829217108130569210275563067813260635158926249192627461824844907510947115259740008578945517<192>
prime factors 素因数
3207999363134684234736444602488262201520660749<46>
8337413033271103509316812037780439385795227926400466901275916946431<67>
11213366269814767759571757763785343790706104733795003534534895812984252877731743<80>
factorization results 素因数分解の結果
p46: 3207999363134684234736444602488262201520660749
p67: 8337413033271103509316812037780439385795227926400466901275916946431
p80: 11213366269814767759571757763785343790706104733795003534534895812984252877731743
software ソフトウェア
http://factordb.com/index.php?id=1100000002668103634
execution environment 実行環境
factordb, Before November 4, 2018

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)

47×10237-29

c178

composite cofactor 合成数の残り
2095058914924891508663618273994812911342521079104353171535049671782910866357054165588543576260871820708095678560157163619375952758062164120372944367077343690541002015745060263549<178>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e620961000Dmitry DomanovNovember 11, 2021 20:23:18 UTC 2021 年 11 月 12 日 (金) 5 時 23 分 18 秒 (日本時間)
1096ebinaAugust 11, 2022 05:18:20 UTC 2022 年 8 月 11 日 (木) 14 時 18 分 20 秒 (日本時間)

47×10238-29

c203

composite cofactor 合成数の残り
46671795542714822618503385492927505371482342535594874562089956153233936652766093862725594453893061526879303939929221129596606155233501390907721405139276912321367729670638674789399285000206023627128692301<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e620961000Dmitry DomanovNovember 11, 2021 18:43:52 UTC 2021 年 11 月 12 日 (金) 3 時 43 分 52 秒 (日本時間)
1096ebinaAugust 11, 2022 05:58:40 UTC 2022 年 8 月 11 日 (木) 14 時 58 分 40 秒 (日本時間)

47×10239-29

c237

composite cofactor 合成数の残り
977944236371202663337494798168955472326258843112775697045359966708281315022888056595921764461090303786933000416146483562213899292550977944236371202663337494798168955472326258843112775697045359966708281315022888056595921764461090303786933<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e620961000Dmitry DomanovNovember 15, 2021 14:25:39 UTC 2021 年 11 月 15 日 (月) 23 時 25 分 39 秒 (日本時間)
1096ebinaAugust 11, 2022 06:46:57 UTC 2022 年 8 月 11 日 (木) 15 時 46 分 57 秒 (日本時間)

47×10240-29

c238

name 名前Dmitry Domanov
date 日付November 15, 2021 17:37:59 UTC 2021 年 11 月 16 日 (火) 2 時 37 分 59 秒 (日本時間)
composite number 合成数
1705493867479497786486682632992234559837433776035996806734886421365846578126133971986356049060164017708106538936062123521300529791712025546120908629073227374990928224109151607518687858335147688511503011829595761666303795631032730967414181<238>
prime factors 素因数
96550586004811350031174650688552790839<38>
composite cofactor 合成数の残り
17664251850263331263429527740114919986003733320669881073791859255522150963015890420806717119007050078615856595165454532496854883664052881670991384611135220579472085607696201059517820034506045486386179<200>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3200196215
Step 1 took 14793ms
Step 2 took 5950ms
********** Factor found in step 2: 96550586004811350031174650688552790839
Found prime factor of 38 digits: 96550586004811350031174650688552790839
Composite cofactor 17664251850263331263429527740114919986003733320669881073791859255522150963015890420806717119007050078615856595165454532496854883664052881670991384611135220579472085607696201059517820034506045486386179 has 200 digits

c200

name 名前Erik Branger
date 日付May 16, 2023 16:28:23 UTC 2023 年 5 月 17 日 (水) 1 時 28 分 23 秒 (日本時間)
composite number 合成数
17664251850263331263429527740114919986003733320669881073791859255522150963015890420806717119007050078615856595165454532496854883664052881670991384611135220579472085607696201059517820034506045486386179<200>
prime factors 素因数
44495373237767055008840825827783667527968940389358526611772271780669527<71>
396990755777505413798376386858235228391787016366034047338409135987692294020761357986499106679146563696954089420396051522791693877<129>
factorization results 素因数分解の結果
Number: 52222_240
N = 17664251850263331263429527740114919986003733320669881073791859255522150963015890420806717119007050078615856595165454532496854883664052881670991384611135220579472085607696201059517820034506045486386179 (200 digits)
SNFS difficulty: 242 digits.
Divisors found:
r1=44495373237767055008840825827783667527968940389358526611772271780669527 (pp71)
r2=396990755777505413798376386858235228391787016366034047338409135987692294020761357986499106679146563696954089420396051522791693877 (pp129)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 91.61 hours.
Factorization parameters were as follows:
n: 17664251850263331263429527740114919986003733320669881073791859255522150963015890420806717119007050078615856595165454532496854883664052881670991384611135220579472085607696201059517820034506045486386179 
m: 1000000000000000000000000000000000000000000000000000000000000
deg: 4
c4: 47
c0: -2
skew: 1.00
type: snfs
lss: 1
rlim: 500000000
alim: 150000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 8
Number of threads per core: 1
Factor base limits: 500000000/150000000
Large primes per side: 3
Large prime bits: 29/29
Total raw relations: 0
Relations: 14990878 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 19.48 hours.
Total relation processing time: 0.63 hours.
Pruned matrix : 11587529 x 11587754
Matrix solve time: 71.26 hours.
time per square root: 0.24 hours.
Prototype def-par.txt line would be: snfs,242,4,0,0,0,0,0,0,0,0,500000000,150000000,29,29,58,58,2.8,2.8,100000
total time: 91.61 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 16, speed: 3.79GHz
execution environment 実行環境
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e620961000Dmitry DomanovNovember 15, 2021 14:25:48 UTC 2021 年 11 月 15 日 (月) 23 時 25 分 48 秒 (日本時間)
1096ebinaAugust 11, 2022 07:55:18 UTC 2022 年 8 月 11 日 (木) 16 時 55 分 18 秒 (日本時間)

47×10243-29

c224

composite cofactor 合成数の残り
16400141583313494092680801745288159308584832906232388582971412086488294408965984010264412558468788080054053643018631234452359171523214304438309571178029866469679430758090755219813361505805245832610990751455418368044382700023<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e62094606Marlon TrifunovicFebruary 18, 2022 21:07:12 UTC 2022 年 2 月 19 日 (土) 6 時 7 分 12 秒 (日本時間)
1488ebinaAugust 11, 2022 09:01:33 UTC 2022 年 8 月 11 日 (木) 18 時 1 分 33 秒 (日本時間)

47×10251-29

c217

composite cofactor 合成数の残り
1378205513182713642337314620422943087663976730323018498406461911602943198006272723021609438262225363500193672568866524543408284053911564130141396932685505204669980929939109149701422697146056432233831132909246818188499<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e620961000Dmitry DomanovNovember 14, 2021 12:55:56 UTC 2021 年 11 月 14 日 (日) 21 時 55 分 56 秒 (日本時間)
1096ebinaAugust 11, 2022 10:02:11 UTC 2022 年 8 月 11 日 (木) 19 時 2 分 11 秒 (日本時間)

47×10253-29

c246

composite cofactor 合成数の残り
317366820616179458561102942561822438803604388731522888510633555616109144929122596249013996996351276879283272925530122683384437967109180408032146919867426182459379184122804029746702963545306319679987177408089187866260471168805103886186564431226481<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e620961000Dmitry DomanovNovember 16, 2021 09:06:56 UTC 2021 年 11 月 16 日 (火) 18 時 6 分 56 秒 (日本時間)
1096ebinaAugust 11, 2022 11:20:18 UTC 2022 年 8 月 11 日 (木) 20 時 20 分 18 秒 (日本時間)

47×10254-29

c223

name 名前ebina
date 日付August 11, 2022 11:53:58 UTC 2022 年 8 月 11 日 (木) 20 時 53 分 58 秒 (日本時間)
composite number 合成数
1992429753618892212297953451661660056184195756699871796210719011055208816995363306408920117084794575953499727099941575126069398506157372732125339752970894232131137065285632649957898306010479384212492562684027845094324857667<223>
prime factors 素因数
43953332970647327466167442360432904388394151<44>
composite cofactor 合成数の残り
45330572654170860425691396120904182864108514223039530180930979703264115194151569849666909828969017938050187094538007063716189240561482699514698674717773026028573269232948468442117<179>
factorization results 素因数分解の結果
C:\MYDATA\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:2115299191 3e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 1992429753618892212297953451661660056184195756699871796210719011055208816995363306408920117084794575953499727099941575126069398506157372732125339752970894232131137065285632649957898306010479384212492562684027845094324857667 (223 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2115299191
Step 1 took 7797ms
Step 2 took 5859ms
********** Factor found in step 2: 43953332970647327466167442360432904388394151
Found probable prime factor of 44 digits: 43953332970647327466167442360432904388394151
Composite cofactor 45330572654170860425691396120904182864108514223039530180930979703264115194151569849666909828969017938050187094538007063716189240561482699514698674717773026028573269232948468442117 has 179 digits

c179

name 名前Ignacio Santos
date 日付July 13, 2023 15:47:59 UTC 2023 年 7 月 14 日 (金) 0 時 47 分 59 秒 (日本時間)
composite number 合成数
45330572654170860425691396120904182864108514223039530180930979703264115194151569849666909828969017938050187094538007063716189240561482699514698674717773026028573269232948468442117<179>
prime factors 素因数
304087722221124832210045145190869799667<39>
composite cofactor 合成数の残り
149070710001266097449436421537532322598774247870326188741386510766359940476729864700830668810093397978254483293148991086573662798838983277351<141>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1779781948
Step 1 took 5329ms
********** Factor found in step 2: 304087722221124832210045145190869799667
Found prime factor of 39 digits: 304087722221124832210045145190869799667
Composite cofactor 149070710001266097449436421537532322598774247870326188741386510766359940476729864700830668810093397978254483293148991086573662798838983277351 has 141 digits
software ソフトウェア
GMP-ECM

c141

name 名前Eric Jeancolas
date 日付August 18, 2023 01:05:00 UTC 2023 年 8 月 18 日 (金) 10 時 5 分 0 秒 (日本時間)
composite number 合成数
149070710001266097449436421537532322598774247870326188741386510766359940476729864700830668810093397978254483293148991086573662798838983277351<141>
prime factors 素因数
200986992339124961617774385833276595279310498927080287804979924887<66>
741693321872986576848218442483231570303714992492435033804827904513898373873<75>
factorization results 素因数分解の結果
149070710001266097449436421537532322598774247870326188741386510766359940476729864700830668810093397978254483293148991086573662798838983277351=200986992339124961617774385833276595279310498927080287804979924887*741693321872986576848218442483231570303714992492435033804827904513898373873

cado polynomial
n: 149070710001266097449436421537532322598774247870326188741386510766359940476729864700830668810093397978254483293148991086573662798838983277351
skew: 193363.571
c0: -20288449752810827659646429909604
c1: 6878828310577820062987987276
c2: 2444776778050175983653
c3: -75280997758735411
c4: -22001640504
c5: -1393560
Y0: -914695875671822473772533731
Y1: 100520573476482706843
# MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=2.023e+14) = 2.383e-07
# f(x) = -1393560*x^5-22001640504*x^4-75280997758735411*x^3+2444776778050175983653*x^2+6878828310577820062987987276*x-20288449752810827659646429909604
# g(x) = 100520573476482706843*x-914695875671822473772533731

cado parameters (extracts)
tasks.lim0 = 9457107
tasks.lim1 = 12662444
tasks.lpb0 = 28
tasks.lpb1 = 29
tasks.sieve.mfb0 = 58
tasks.sieve.mfb1 = 58
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 741693321872986576848218442483231570303714992492435033804827904513898373873 200986992339124961617774385833276595279310498927080287804979924887
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 2675.53/138.634
Info:HTTP server: Got notification to stop serving Workunits
Info:Generate Factor Base: Total cpu/real time for makefb: 3.82/0.557675
Info:Generate Free Relations: Total cpu/real time for freerel: 158.95/15.8119
Info:Quadratic Characters: Total cpu/real time for characters: 45.64/12.4014
Info:Filtering - Merging: Merged matrix has 1988836 rows and total weight 338871708 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 245.07/33.9054
Info:Filtering - Merging: Total cpu/real time for replay: 38.23/33.1863
Info:Square Root: Total cpu/real time for sqrt: 2675.53/138.634
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 137.9/44.5842
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 44.4s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 263.56/109.981
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 33895838
Info:Lattice Sieving: Average J: 3782.87 for 1016385 special-q, max bucket fill -bkmult 1.0,1s:1.174200
Info:Lattice Sieving: Total time: 209851s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 4192.19
Info:Polynomial Selection (root optimized): Rootsieve time: 4191.13
Info:Linear Algebra: Total cpu/real time for bwc: 25057.8/3996.46
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 7287.95, WCT time 1907.62, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (62208 iterations)
Info:Linear Algebra: Lingen CPU time 612.46, WCT time 31.29
Info:Linear Algebra: Mksol: CPU time 7885.44,  WCT time 2056.69, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (31232 iterations)
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 486.57/174.285
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 128.0s
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 69931.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 48460/41.950/50.462/56.340/0.939
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 39858/41.220/45.020/51.140/1.018
Info:Polynomial Selection (size optimized): Total time: 11292.8
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 452349/49398
741693321872986576848218442483231570303714992492435033804827904513898373873 200986992339124961617774385833276595279310498927080287804979924887
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)]
13th Gen Intel(R) Core(TM) i7-13700KF (24 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e63589606Marlon TrifunovicFebruary 18, 2022 19:43:02 UTC 2022 年 2 月 19 日 (土) 4 時 43 分 2 秒 (日本時間)
633ebinaAugust 11, 2022 11:51:09 UTC 2022 年 8 月 11 日 (木) 20 時 51 分 9 秒 (日本時間)
2350Ignacio SantosJuly 15, 2023 07:42:52 UTC 2023 年 7 月 15 日 (土) 16 時 42 分 52 秒 (日本時間)
4511e64480Ignacio SantosJuly 16, 2023 10:35:13 UTC 2023 年 7 月 16 日 (日) 19 時 35 分 13 秒 (日本時間)
5043e66454Ignacio SantosJuly 17, 2023 14:16:03 UTC 2023 年 7 月 17 日 (月) 23 時 16 分 3 秒 (日本時間)

47×10256-29

c257

composite cofactor 合成数の残り
26111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovNovember 16, 2021 09:06:07 UTC 2021 年 11 月 16 日 (火) 18 時 6 分 7 秒 (日本時間)
2350Ignacio SantosJuly 13, 2023 16:00:49 UTC 2023 年 7 月 14 日 (金) 1 時 0 分 49 秒 (日本時間)

47×10257-29

c238

composite cofactor 合成数の残り
2241982864120032563902596553579192835072249368221450917619995872798388459658142586096397605834430486786323946557679471976908600420608042724098819613118708109321143281572317369650279859497954651854051895476336100691792735538595328029224693<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovNovember 15, 2021 14:36:48 UTC 2021 年 11 月 15 日 (月) 23 時 36 分 48 秒 (日本時間)
2350Ignacio SantosJuly 13, 2023 16:08:37 UTC 2023 年 7 月 14 日 (金) 1 時 8 分 37 秒 (日本時間)

47×10259-29

c231

name 名前Dmitry Domanov
date 日付November 15, 2021 21:43:08 UTC 2021 年 11 月 16 日 (火) 6 時 43 分 8 秒 (日本時間)
composite number 合成数
208770068341873037748239544277955400560185080571424725657350808924334805137384619605267845129811059311490151027671482797632543928971447251222516292471488505271173434320156740347090105969495178665503991942025376977928655170665671743<231>
prime factors 素因数
9139072287230899286925956748821182319865809<43>
composite cofactor 合成数の残り
22843682791913827399713606478964857264739627990278497799125569354482458703513974152989384162756093484356473476773077650767627161744679021630052804859328056299913999274081906619165679546127<188>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:294030423
Step 1 took 11947ms
Step 2 took 6259ms
********** Factor found in step 2: 9139072287230899286925956748821182319865809
Found prime factor of 43 digits: 9139072287230899286925956748821182319865809
Composite cofactor 22843682791913827399713606478964857264739627990278497799125569354482458703513974152989384162756093484356473476773077650767627161744679021630052804859328056299913999274081906619165679546127 has 188 digits

c188

name 名前Bob Backstrom
date 日付December 9, 2021 20:53:16 UTC 2021 年 12 月 10 日 (金) 5 時 53 分 16 秒 (日本時間)
composite number 合成数
22843682791913827399713606478964857264739627990278497799125569354482458703513974152989384162756093484356473476773077650767627161744679021630052804859328056299913999274081906619165679546127<188>
prime factors 素因数
7058488852820511256934673424222235111658019<43>
3236341838633872576360039232222069905013340840643381398538180399798092450112334724162831069206588009816249903252146413866682042253319163576938533<145>
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 22843682791913827399713606478964857264739627990278497799125569354482458703513974152989384162756093484356473476773077650767627161744679021630052804859328056299913999274081906619165679546127 (188 digits)
Using B1=39370000, B2=192393080896, polynomial Dickson(12), sigma=1:643374898
Step 1 took 112117ms
Step 2 took 34670ms
********** Factor found in step 2: 7058488852820511256934673424222235111658019
Found prime factor of 43 digits: 7058488852820511256934673424222235111658019
Prime cofactor 3236341838633872576360039232222069905013340840643381398538180399798092450112334724162831069206588009816249903252146413866682042253319163576938533 has 145 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e61000 / 2089Dmitry DomanovNovember 15, 2021 20:12:31 UTC 2021 年 11 月 16 日 (火) 5 時 12 分 31 秒 (日本時間)

47×10260-29

c220

composite cofactor 合成数の残り
1787301970736218944898470081852572183116492926524554824042254019854544593538554020711878559168129730404227926346048275501393351578289892953512455522394328862990392399555252766917056083486682166345183554268844324487254637<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovNovember 14, 2021 15:32:00 UTC 2021 年 11 月 15 日 (月) 0 時 32 分 0 秒 (日本時間)
2350Ignacio SantosJuly 13, 2023 16:22:30 UTC 2023 年 7 月 14 日 (金) 1 時 22 分 30 秒 (日本時間)

47×10261-29

c244

name 名前Ignacio Santos
date 日付July 13, 2023 16:31:28 UTC 2023 年 7 月 14 日 (金) 1 時 31 分 28 秒 (日本時間)
composite number 合成数
1390462624008603817299359321689287912894509778578613184304127034769629372862422887053213784159581278883196118618707449702196358309366561088519855190897685545136043146808319067897883681292530433827407532070594954553643630644023702818119944958567<244>
prime factors 素因数
868416097315899768445671159580156377134813<42>
composite cofactor 合成数の残り
1601147915505303630436925046890404011486437630402137328623961527873396744913396453043902843381324643179874831221306534566453110558578825617777077599237301152114181303074426558702101535243330058541834259<202>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1429864893
Step 1 took 8578ms
********** Factor found in step 2: 868416097315899768445671159580156377134813
Found prime factor of 42 digits: 868416097315899768445671159580156377134813
Composite cofactor 1601147915505303630436925046890404011486437630402137328623961527873396744913396453043902843381324643179874831221306534566453110558578825617777077599237301152114181303074426558702101535243330058541834259 has 202 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
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovNovember 16, 2021 09:07:50 UTC 2021 年 11 月 16 日 (火) 18 時 7 分 50 秒 (日本時間)
2350Ignacio SantosJuly 15, 2023 07:53:23 UTC 2023 年 7 月 15 日 (土) 16 時 53 分 23 秒 (日本時間)

47×10262-29

c261

composite cofactor 合成数の残り
442561205273069679849340866290018832391713747645951035781544256120527306967984934086629001883239171374764595103578154425612052730696798493408662900188323917137476459510357815442561205273069679849340866290018832391713747645951035781544256120527306967984934086629<261>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovNovember 16, 2021 09:08:44 UTC 2021 年 11 月 16 日 (火) 18 時 8 分 44 秒 (日本時間)
2350Ignacio SantosJuly 14, 2023 06:38:52 UTC 2023 年 7 月 14 日 (金) 15 時 38 分 52 秒 (日本時間)

47×10263-29

c252

composite cofactor 合成数の残り
299268240074287741343156380516372871375023159223650160243966216881357115670098547854391176357380292211743753113787348699316259420456070152941198408604260959894762938683566163473527608962404974822877431706619573374041725606730677217396501349876405431697<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovNovember 16, 2021 11:11:45 UTC 2021 年 11 月 16 日 (火) 20 時 11 分 45 秒 (日本時間)
2350Ignacio SantosJuly 14, 2023 06:57:27 UTC 2023 年 7 月 14 日 (金) 15 時 57 分 27 秒 (日本時間)

47×10264-29

c194

name 名前Bob Backstrom
date 日付December 15, 2021 14:47:03 UTC 2021 年 12 月 15 日 (水) 23 時 47 分 3 秒 (日本時間)
composite number 合成数
30430073824842071785139251595979571754219723702556077613712533351495221669473266765468910736492257107725392557321340243521796627306875442900258181258235433449593647416993243596565148771227852769<194>
prime factors 素因数
58713034119075080962111170973030868923<38>
65536026258637460441920492225360926460673<41>
8378616177292741714165640503255142200326011<43>
943878473239005162178124567938422356312350361115597766681822538543152201<72>
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 3043007382484207178513925159597957175421972370255607761371253335149522166947326676546891073649225710772539255732134024352179662730687544290025818125823543344959364741699324359656514877122
7852769 (194 digits)
Using B1=35130000, B2=192388936756, polynomial Dickson(12), sigma=1:2238468368
Step 1 took 121801ms
Step 2 took 40335ms
********** Factor found in step 2: 58713034119075080962111170973030868923
Found prime factor of 38 digits: 58713034119075080962111170973030868923
Composite cofactor 518284811565473960799707736497533145322887769990190171437661734000434402399967979879075487256873365220359084691374300631569055221544075391759758129633802003 has 156 digits

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 518284811565473960799707736497533145322887769990190171437661734000434402399967979879075487256873365220359084691374300631569055221544075391759758129633802003 (156 digits)
Using B1=39420000, B2=192393080896, polynomial Dickson(12), sigma=1:3589629360
Step 1 took 95370ms
Step 2 took 30691ms
********** Factor found in step 2: 65536026258637460441920492225360926460673
Found prime factor of 41 digits: 65536026258637460441920492225360926460673
Composite cofactor 7908395445278702841432177068599877338566256804436318137217623027598179090777136463608581177786389398110973792200211 has 115 digits


CADO

STA:Thu 16 Dec 2021 00:10:18 AEDT (7,908,395,445,278,702,841,432,177,068,599,877,338,566,256,804,436,318,137,217,623,027,598,179,090,777,136,463,608,581,177,786,389,398,110,973,792,200,211 - C115)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 7908395445278702841432177068599877338566256804436318137217623027598179090777136463608581177786389398110973792200211 2>&1 | tee -a log117

Debug:root: Looking for parameter file for c115 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c115
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c115
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.702nrvcw
Info:Database: Opened connection to database /tmp/cado.702nrvcw/c115.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 7908395445278702841432177068599877338566256804436318137217623027598179090777136463608
581177786389398110973792200211
Debug:root: Root parameter dictionary:
N = 7908395445278702841432177068599877338566256804436318137217623027598179090777136463608581177786389398110973792200211
lim0 = 5484593
lim1 = 2800829
lpb0 = 26
lpb1 = 26
name = c115
...
n: 7908395445278702841432177068599877338566256804436318137217623027598179090777136463608581177786389398110973792200211
skew: 5799331.654
c0: 18428761176996240961797389220710
c1: -11483013398801227190284799
c2: -2104928291551598767
c3: 154497737340
c4: 28800
Y0: -5667900237831902963171173866
Y1: 88184142934563384373
# MurphyE (Bf=2.80e+06,Bg=5.48e+06,area=9.40e+13) = 1.98e-09
# f(x) = 28800*x^4+154497737340*x^3-2104928291551598767*x^2-11483013398801227190284799*x+18428761176996240961797389220710
# g(x) = 88184142934563384373*x-5667900237831902963171173866
...
Info:Square Root: finished
Info:Square Root: Factors: 943878473239005162178124567938422356312350361115597766681822538543152201 8378616177292741714165640503255142200326011
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 313.54/46.9148
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 55681.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 56786/38.260/43.902/48.030/0.617
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 56786/37.710/43.118/44.810/1.005
Info:Polynomial Selection (size optimized): Total time: 1119.67
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 148.78
Info:Polynomial Selection (root optimized): Rootsieve time: 148.17
Info:Generate Factor Base: Total cpu/real time for makefb: 2.64/0.284155
Info:Generate Free Relations: Total cpu/real time for freerel: 53.35/3.53004
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6785172
Info:Lattice Sieving: Average J: 4096 for 86971 special-q, max bucket fill: 0.643923
Info:Lattice Sieving: Total CPU time: 70857.1s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 17.14/20.1897
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 20.1s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 90.67/28.0739
Info:Filtering - Singleton removal: Total cpu/real time for purge: 72.04/28.4111
Info:Filtering - Merging: Total cpu/real time for merge: 130.23/102.411
Info:Filtering - Merging: Total cpu/real time for replay: 14.06/10.8575
Info:Linear Algebra: Total cpu/real time for bwc: 4566.9/0.000175953
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 187.13
Info:Linear Algebra: Lingen CPU time 93.65, WCT time 9.43
Info:Linear Algebra: Mksol: WCT time 103.73
Info:Quadratic Characters: Total cpu/real time for characters: 15.96/3.67263
Info:Square Root: Total cpu/real time for sqrt: 313.54/46.9148
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 77402.1/5283.25
Info:root: Cleaning up computation data in /tmp/cado.702nrvcw

943878473239005162178124567938422356312350361115597766681822538543152201 8378616177292741714165640503255142200326011

END:Thu 16 Dec 2021 01:38:22 AEDT (7,908,395,445,278,702,841,432,177,068,599,877,338,566,256,804,436,318,137,217,623,027,598,179,090,777,136,463,608,581,177,786,389,398,110,973,792,200,211 - C115)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e62100ebinaNovember 4, 2021 03:09:54 UTC 2021 年 11 月 4 日 (木) 12 時 9 分 54 秒 (日本時間)

47×10265-29

c229

name 名前Ignacio Santos
date 日付July 14, 2023 06:58:03 UTC 2023 年 7 月 14 日 (金) 15 時 58 分 3 秒 (日本時間)
composite number 合成数
1511279249361789735051399561685868930694697704371953409930807080009803997926886108161230317191491923009473823643553937914891037478129678592025067941796518836990242233530128562514192930146252828907410619817659985836767124495372337<229>
prime factors 素因数
8126726672095004555908418353623650699<37>
185964080046043204762985003229111222561368683963938782864052252142130633914639390742761731275309962847608909612156225318702292055094538587047152846237576415097904087492414469998863597967811763<192>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2572313249
Step 1 took 9500ms
Step 2 took 4313ms
********** Factor found in step 2: 8126726672095004555908418353623650699
Found prime factor of 37 digits: 8126726672095004555908418353623650699
Prime cofactor 185964080046043204762985003229111222561368683963938782864052252142130633914639390742761731275309962847608909612156225318702292055094538587047152846237576415097904087492414469998863597967811763 has 192 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
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e61000 / 2089Dmitry DomanovNovember 14, 2021 17:11:48 UTC 2021 年 11 月 15 日 (月) 2 時 11 分 48 秒 (日本時間)

47×10266-29

c231

composite cofactor 合成数の残り
328739416680078960438633961977225928398620102662658141247252952423295075087450076044365823077724862259951820076338202152095631519356342839700445310562150252919696851542744380651047396103880925066532455670714463225950038974134487403<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovNovember 15, 2021 20:14:01 UTC 2021 年 11 月 16 日 (火) 5 時 14 分 1 秒 (日本時間)
2350Ignacio SantosJuly 14, 2023 07:14:42 UTC 2023 年 7 月 14 日 (金) 16 時 14 分 42 秒 (日本時間)

47×10267-29

c252

composite cofactor 合成数の残り
176249153901889839538994544773470018429943818010031361059301991905505109713397734684655791546394839011127415633706355690979626750305642759782401663879435783375248496234326861937915326202733095728829574673931888164543306329644972660996581480660166345423<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovNovember 16, 2021 11:14:38 UTC 2021 年 11 月 16 日 (火) 20 時 14 分 38 秒 (日本時間)
2350Ignacio SantosJuly 14, 2023 07:41:03 UTC 2023 年 7 月 14 日 (金) 16 時 41 分 3 秒 (日本時間)

47×10268-29

c240

composite cofactor 合成数の残り
265154831459195221707792077590701408716059230191415844565262252416118304805016221706431288754845038334306794669172357725903650144041062026249565201331967453107216825165465061023233290605994457448254678291213616111051898627184628266439560471<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovNovember 15, 2021 20:14:44 UTC 2021 年 11 月 16 日 (火) 5 時 14 分 44 秒 (日本時間)
2350Ignacio SantosJuly 14, 2023 07:41:28 UTC 2023 年 7 月 14 日 (金) 16 時 41 分 28 秒 (日本時間)

47×10269-29

c261

composite cofactor 合成数の残り
106280098101771287410657112711045647708305587811350507968254725704797509619451138504337859899539440979226845281983644986341030810225564923425759838285512460958012180830695864823628354258231428726946526869890498157305505970202675191463706402357100566201754865331<261>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovNovember 16, 2021 11:14:46 UTC 2021 年 11 月 16 日 (火) 20 時 14 分 46 秒 (日本時間)
2350Ignacio SantosJuly 14, 2023 07:57:39 UTC 2023 年 7 月 14 日 (金) 16 時 57 分 39 秒 (日本時間)

47×10271-29

c245

composite cofactor 合成数の残り
23560644332352119841845064701928256087192190528049943396403379694142372220995194020680100915454812277812112080569954196475624527280336693069994336028992714455336565184852783741657469055986190333492871576094943233244191116295589794489086923938429<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovNovember 16, 2021 16:04:24 UTC 2021 年 11 月 17 日 (水) 1 時 4 分 24 秒 (日本時間)
2350Ignacio SantosJuly 15, 2023 09:19:47 UTC 2023 年 7 月 15 日 (土) 18 時 19 分 47 秒 (日本時間)

47×10272-29

c237

name 名前Dmitry Domanov
date 日付November 16, 2021 05:06:45 UTC 2021 年 11 月 16 日 (火) 14 時 6 分 45 秒 (日本時間)
composite number 合成数
223912297138199831108235085687726548501714552947098079179710382897452462455840419959465764497510273711683621799692583204341893124306328952474100292352988518831432920375986572740333843874589023790806935822079947692555401962086072178531957<237>
prime factors 素因数
3090986219387467033717738433297175263<37>
composite cofactor 合成数の残り
72440406150556040966862337724372363341277689876520717927875786502559888522258092005676612939301960607034978472912629606620801390655668524642459750085266779269586941453690726293501455364202565703920939<200>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:757934542
Step 1 took 14066ms
Step 2 took 5981ms
********** Factor found in step 2: 3090986219387467033717738433297175263
Found prime factor of 37 digits: 3090986219387467033717738433297175263
Composite cofactor 72440406150556040966862337724372363341277689876520717927875786502559888522258092005676612939301960607034978472912629606620801390655668524642459750085266779269586941453690726293501455364202565703920939 has 200 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovNovember 15, 2021 20:14:58 UTC 2021 年 11 月 16 日 (火) 5 時 14 分 58 秒 (日本時間)
2350Ignacio SantosJuly 15, 2023 09:51:00 UTC 2023 年 7 月 15 日 (土) 18 時 51 分 0 秒 (日本時間)

47×10274-29

c272

composite cofactor 合成数の残り
17419020087465717885998072789266918686531761915350974723890000741234897338966718553109480394336965384330294270254243569787265584463716551775257579126825290934697205544437032095471054777258913349640501074790601141501741902008746571788599807278926691868653176191535097472389<272>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovNovember 17, 2021 10:19:48 UTC 2021 年 11 月 17 日 (水) 19 時 19 分 48 秒 (日本時間)
2350Ignacio SantosJuly 15, 2023 09:51:25 UTC 2023 年 7 月 15 日 (土) 18 時 51 分 25 秒 (日本時間)

47×10275-29

c261

name 名前Dmitry Domanov
date 日付November 17, 2021 19:05:54 UTC 2021 年 11 月 18 日 (木) 4 時 5 分 54 秒 (日本時間)
composite number 合成数
294322777144838787372889585278425941889521523468863451597018530766672020141350590432477939688949917768063305448816348994920666910857456765220059277097140977188896207696105169445363073561433564881253896331870194460176685565602536397661515543415194565325885649623<261>
prime factors 素因数
60644957123391643617378949758482417<35>
57113285046277231262016210022627610639400233<44>
84975169337893492338695450292885667251321529098463597738214230220027711109634230879554371349355674546324975164915668852655715456955290366874395255385070539425200274860867167821141743<182>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1734712398
Step 1 took 11309ms
Step 2 took 4619ms
********** Factor found in step 2: 57113285046277231262016210022627610639400233
Found prime factor of 44 digits: 57113285046277231262016210022627610639400233
Composite cofactor 5153315501049495124727795999165114783029790909170634237466914646413492152997640185846977543735921213452743096028050586299693938193085519230652560766571861845223183099826696533352699204180449288211726438292319930232831 has 217 digits

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1493115005
Step 1 took 9500ms
Step 2 took 3669ms
********** Factor found in step 2: 60644957123391643617378949758482417
Found prime factor of 35 digits: 60644957123391643617378949758482417
Prime cofactor 84975169337893492338695450292885667251321529098463597738214230220027711109634230879554371349355674546324975164915668852655715456955290366874395255385070539425200274860867167821141743 has 182 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e61000 / 2089Dmitry DomanovNovember 17, 2021 15:08:00 UTC 2021 年 11 月 18 日 (木) 0 時 8 分 0 秒 (日本時間)

47×10277-29

c248

composite cofactor 合成数の残り
57253954763778277020213468510858344941952941214400451478522122032764517657325369151186787355311897613077809478608768050555365399483309198190640684696966816710383712249053006378305739070651712800418878369324532461714602802321324840868587815073713599<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovNovember 17, 2021 19:00:09 UTC 2021 年 11 月 18 日 (木) 4 時 0 分 9 秒 (日本時間)
2350Ignacio SantosJuly 15, 2023 10:05:30 UTC 2023 年 7 月 15 日 (土) 19 時 5 分 30 秒 (日本時間)

47×10278-29

c263

composite cofactor 合成数の残り
50622174358581699631670962647501077293543710781640084356060121647998274530327091870348681673900741745944724605292450342802124712408905389478939463252999678043436286281280857413176995377249985288690419800227037496040311877650293162576139545679195283618150558121821<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e62956606Marlon TrifunovicMarch 7, 2022 07:24:04 UTC 2022 年 3 月 7 日 (月) 16 時 24 分 4 秒 (日本時間)
2350Ignacio SantosJuly 15, 2023 10:53:48 UTC 2023 年 7 月 15 日 (土) 19 時 53 分 48 秒 (日本時間)

47×10280-29

c215

composite cofactor 合成数の残り
43732315265926288866372485990010700448783135423703789013417468248765405576393537181827735328162828199921236525850708947952809686098558979217025680375108117276309459741268448390444372075823958241122461456834636936079<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovNovember 14, 2021 21:17:38 UTC 2021 年 11 月 15 日 (月) 6 時 17 分 38 秒 (日本時間)
2350Ignacio SantosJuly 15, 2023 10:54:10 UTC 2023 年 7 月 15 日 (土) 19 時 54 分 10 秒 (日本時間)

47×10281-29

c269

composite cofactor 合成数の残り
28310296256281261699459143803030541786592165881029065898344548908539264912320101884609232002635562984360405163699018865583985237028787536697834452617228591023456961392254847054747979245196525140993392617240737939640115803755243622004813621912807397038929691992277222941<269>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e62956606Marlon TrifunovicMarch 2, 2022 00:51:14 UTC 2022 年 3 月 2 日 (水) 9 時 51 分 14 秒 (日本時間)
2350Ignacio SantosJuly 15, 2023 10:54:58 UTC 2023 年 7 月 15 日 (土) 19 時 54 分 58 秒 (日本時間)

47×10282-29

c221

composite cofactor 合成数の残り
26695475530263797024293680053911650905087419981748603841416275224352493938637511389842769333086855078193144526128828910023862580957341893856686273838531263545370049689626784024314711491630951982842944924005728360544389347<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovNovember 14, 2021 21:17:53 UTC 2021 年 11 月 15 日 (月) 6 時 17 分 53 秒 (日本時間)
2350Ignacio SantosJuly 15, 2023 10:55:25 UTC 2023 年 7 月 15 日 (土) 19 時 55 分 25 秒 (日本時間)

47×10283-29

c281

name 名前Ignacio Santos
date 日付July 15, 2023 11:26:11 UTC 2023 年 7 月 15 日 (土) 20 時 26 分 11 秒 (日本時間)
composite number 合成数
22567943916258523000096033803898972438298280994910208393354460770191107269758955152213579179871314702775376932680303466820320752905022567943916258523000096033803898972438298280994910208393354460770191107269758955152213579179871314702775376932680303466820320752905022567943916258523<281>
prime factors 素因数
10992628785158805133665148069031037205129<41>
composite cofactor 合成数の残り
2053007006543111875673737617815808399678005765890756297042130450307557996789186934994261343947173048037773395486701027996653190988620861231571691804595869092859295471620275103398481808141199267857281026720474603875159838712077650502251518787<241>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1961911162
Step 1 took 11250ms
********** Factor found in step 2: 10992628785158805133665148069031037205129
Found prime factor of 41 digits: 10992628785158805133665148069031037205129
Composite cofactor 2053007006543111875673737617815808399678005765890756297042130450307557996789186934994261343947173048037773395486701027996653190988620861231571691804595869092859295471620275103398481808141199267857281026720474603875159838712077650502251518787 has 241 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
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovNovember 16, 2021 23:19:27 UTC 2021 年 11 月 17 日 (水) 8 時 19 分 27 秒 (日本時間)
2350Ignacio SantosJuly 18, 2023 16:23:08 UTC 2023 年 7 月 19 日 (水) 1 時 23 分 8 秒 (日本時間)

47×10284-29

c198

composite cofactor 合成数の残り
186741364170709991647715328846489153108411223765524125621948728572214830983205480236895445423739660423327933318737881606398082156807293725622475741926470080403525376354195084909255178669967697870419<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovNovember 11, 2021 23:43:41 UTC 2021 年 11 月 12 日 (金) 8 時 43 分 41 秒 (日本時間)
2350Ignacio SantosJuly 15, 2023 11:26:46 UTC 2023 年 7 月 15 日 (土) 20 時 26 分 46 秒 (日本時間)

47×10285-29

c243

composite cofactor 合成数の残り
103944023121353380667971269788858351746573706702698008613519144786523026405708873541033781167267999684153928608622886929163788891922757343023554302769230945611648774800883468709120137451445646396078879852323561056342487922050177283648867792999<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e62956606Marlon TrifunovicMarch 3, 2022 16:08:39 UTC 2022 年 3 月 4 日 (金) 1 時 8 分 39 秒 (日本時間)
2350Ignacio SantosJuly 15, 2023 11:27:08 UTC 2023 年 7 月 15 日 (土) 20 時 27 分 8 秒 (日本時間)

47×10286-29

c279

composite cofactor 合成数の残り
402921942605881615508293428930010485109120323514977729072573355578808095135268088718110337787313071287269887485110555411455237826571213532600146047373720572593778577613839641068629301849485957072123571242434962641823315816841965401867770211915286899480485992239493634175361837921<279>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovNovember 17, 2021 04:44:25 UTC 2021 年 11 月 17 日 (水) 13 時 44 分 25 秒 (日本時間)
2350Ignacio SantosJuly 15, 2023 11:56:02 UTC 2023 年 7 月 15 日 (土) 20 時 56 分 2 秒 (日本時間)

47×10289-29

c289

composite cofactor 合成数の残り
2008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547<289>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e62956606Marlon TrifunovicMarch 10, 2022 11:07:29 UTC 2022 年 3 月 10 日 (木) 20 時 7 分 29 秒 (日本時間)
2350Ignacio SantosJuly 15, 2023 11:56:32 UTC 2023 年 7 月 15 日 (土) 20 時 56 分 32 秒 (日本時間)

47×10290-29

c243

name 名前Eric Jeancolas
date 日付November 3, 2021 21:09:04 UTC 2021 年 11 月 4 日 (木) 6 時 9 分 4 秒 (日本時間)
composite number 合成数
523920435954996407267348987263164568547074098658989747589160731004305505220509615932764847498845648398047795232576388451420546213679195895002464444801854269651296873797502210023167353658408454441323045210550492599034337978831224379455494379901<243>
prime factors 素因数
71742152060419387431231899851597190293<38>
7302825757356207386849292877009906317027191842435313054710038828043942503202199714471717642551832943116202036879209734515489387659522497200109647628826842378490168949870956523081568573592149934372499312457<205>
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 523920435954996407267348987263164568547074098658989747589160731004305505220509615932764847498845648398047795232576388451420546213679195895002464444801854269651296873797502210023167353658408454441323045210550492599034337978831224379455494379901 (243 digits)
Run 730 out of 1200:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:656298006
Step 1 took 3621ms
Step 2 took 1892ms
********** Factor found in step 2: 71742152060419387431231899851597190293
Found prime factor of 38 digits: 71742152060419387431231899851597190293
Prime cofactor 7302825757356207386849292877009906317027191842435313054710038828043942503202199714471717642551832943116202036879209734515489387659522497200109647628826842378490168949870956523081568573592149934372499312457 has 205 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-72-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
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)

47×10291-29

c258

name 名前Ignacio Santos
date 日付July 15, 2023 12:11:37 UTC 2023 年 7 月 15 日 (土) 21 時 11 分 37 秒 (日本時間)
composite number 合成数
103131514563929926103722019041302910955545657326306764193064618004523765164930576717676556566686083449746662819828263677815713772107479041865799062029709097382599078090191129497938757835904379407495958269292120946028422325110638307982484929690135674745327473<258>
prime factors 素因数
519841017556665727056106881057136520673597337<45>
composite cofactor 合成数の残り
198390490709379208820622218002832862554998900982973970780017272103469990774348114080668895555472003221312039028674956355939715433217091305405986022086706866401006942425074583615993926035620869776198412234637983129<213>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:99027922
Step 1 took 12578ms
Step 2 took 5078ms
********** Factor found in step 2: 519841017556665727056106881057136520673597337
Found prime factor of 45 digits: 519841017556665727056106881057136520673597337
Composite cofactor 198390490709379208820622218002832862554998900982973970780017272103469990774348114080668895555472003221312039028674956355939715433217091305405986022086706866401006942425074583615993926035620869776198412234637983129 has 213 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
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e62956606Marlon TrifunovicMarch 6, 2022 20:55:57 UTC 2022 年 3 月 7 日 (月) 5 時 55 分 57 秒 (日本時間)
2350Ignacio SantosJuly 18, 2023 16:34:26 UTC 2023 年 7 月 19 日 (水) 1 時 34 分 26 秒 (日本時間)

47×10292-29

c225

composite cofactor 合成数の残り
237274731580660420107277784318922863915167367619341132190448104446916100602140992941121101597740441296111505366070974921893352415695214597033980583541248699620901277263199279700782432431550137886244592944849933475023973345767<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovNovember 14, 2021 21:18:21 UTC 2021 年 11 月 15 日 (月) 6 時 18 分 21 秒 (日本時間)
2350Ignacio SantosJuly 15, 2023 12:12:19 UTC 2023 年 7 月 15 日 (土) 21 時 12 分 19 秒 (日本時間)

47×10294-29

c276

composite cofactor 合成数の残り
597836166946738388068561345967941180198117693232268876544809586034952354534048902376509540581058407519209181986673075955841975384986210548289514155586322642576076258472089117499884695804791255096772737322163004012066372864832018974890982925214012579233458046737042961999540459<276>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovNovember 15, 2021 20:22:57 UTC 2021 年 11 月 16 日 (火) 5 時 22 分 57 秒 (日本時間)
2350Ignacio SantosJuly 15, 2023 12:41:16 UTC 2023 年 7 月 15 日 (土) 21 時 41 分 16 秒 (日本時間)

47×10295-29

c287

name 名前Eric Jeancolas
date 日付November 3, 2021 21:01:28 UTC 2021 年 11 月 4 日 (木) 6 時 1 分 28 秒 (日本時間)
composite number 合成数
77837230815218992529953340551481159084087741628256634756869929476391826627450706412897858086907061442501084290014424586944653347151117787664172626983887723362475218269398893509051868941021397704161464568535426194827667852612270147059009647095710232647344775791143435237084042090589216897<287>
prime factors 素因数
3207959929552750856048029423634940977<37>
composite cofactor 合成数の残り
24263779013620954711499498550604491378155026832683890799176120139180063964781252052969946084480615952228797864899388804642064553607368950036561237726903092413785090961079992084925496207846311779633243693641492307816514222088447515311922960642058394961<251>
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 77837230815218992529953340551481159084087741628256634756869929476391826627450706412897858086907061442501084290014424586944653347151117787664172626983887723362475218269398893509051868941021397704161464568535426194827667852612270147059009647095710232647344775791143435237084042090589216897 (287 digits)
Run 569 out of 1200:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:598470622
Step 1 took 4687ms
Step 2 took 2343ms
********** Factor found in step 2: 3207959929552750856048029423634940977
Found prime factor of 37 digits: 3207959929552750856048029423634940977
Composite cofactor 24263779013620954711499498550604491378155026832683890799176120139180063964781252052969946084480615952228797864899388804642064553607368950036561237726903092413785090961079992084925496207846311779633243693641492307816514222088447515311922960642058394961 has 251 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-72-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
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e62956606Marlon TrifunovicMarch 4, 2022 15:36:53 UTC 2022 年 3 月 5 日 (土) 0 時 36 分 53 秒 (日本時間)
2350Ignacio SantosJuly 15, 2023 12:50:08 UTC 2023 年 7 月 15 日 (土) 21 時 50 分 8 秒 (日本時間)

47×10296-29

c290

composite cofactor 合成数の残り
13044671733694547509840719950864551716830617929486088837334125827671238058081795009889054622830996513614421363091260362472126936446131725550342627184564114486633632784042189954367129341189733901075193467885625184183132359071764029237761029640475025218264696406109118412607996074031187634153<290>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovNovember 15, 2021 20:15:55 UTC 2021 年 11 月 16 日 (火) 5 時 15 分 55 秒 (日本時間)
2350Ignacio SantosJuly 15, 2023 13:52:08 UTC 2023 年 7 月 15 日 (土) 22 時 52 分 8 秒 (日本時間)

47×10297-29

c293

composite cofactor 合成数の残り
23007208599017641144329604207479986176094237526421576258127174058833838023377281996908222776353288904944983400543753347059336080491943071354654652008627213709555040585694998820268665454627337067354337446239006715167820453702153572627883366179794971505327392578364021033483810267872440203285821<293>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovNovember 11, 2021 23:30:51 UTC 2021 年 11 月 12 日 (金) 8 時 30 分 51 秒 (日本時間)
2350Ignacio SantosJuly 15, 2023 13:52:22 UTC 2023 年 7 月 15 日 (土) 22 時 52 分 22 秒 (日本時間)

47×10299-29

c284

composite cofactor 合成数の残り
61321716653154228637524292315169188091641817632439132917510626712961768858922807110502712585991064216340704739034581283892377007678080705845629989807095216740307786632846048578139669460506178349986948812940409174528960724276519475775643419538883590320954111214257194380563157360581767<284>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovNovember 15, 2021 20:15:33 UTC 2021 年 11 月 16 日 (火) 5 時 15 分 33 秒 (日本時間)
2350Ignacio SantosJuly 15, 2023 13:52:34 UTC 2023 年 7 月 15 日 (土) 22 時 52 分 34 秒 (日本時間)

47×10300-29

c260

composite cofactor 合成数の残り
21548746339600516903678852277632951223787951830308010254735766178437667597537166332287267570799898033654678637668845881054157552641966471454460773460453503720176692210553610270873523095558544739339949518989170283869449723915240148177635489046258787514836142803<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
3025e4430Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 3, 2021 12:00:00 UTC 2021 年 11 月 3 日 (水) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovNovember 3, 2021 14:38:04 UTC 2021 年 11 月 3 日 (水) 23 時 38 分 4 秒 (日本時間)
4511e62000Dmitry DomanovNovember 4, 2021 16:15:30 UTC 2021 年 11 月 5 日 (金) 1 時 15 分 30 秒 (日本時間)
5043e6640 / 7061Dmitry DomanovNovember 4, 2021 16:33:59 UTC 2021 年 11 月 5 日 (金) 1 時 33 分 59 秒 (日本時間)