Table of contents 目次

7×10115-5

c104

name 名前Dmitry Domanov
date 日付November 7, 2022 16:21:39 UTC 2022 年 11 月 8 日 (火) 1 時 21 分 39 秒 (日本時間)
composite number 合成数
17332231014901517019371018733255515717294955814636748933341453563952352829838230450216398048117706537491<104>
prime factors 素因数
1061254674259823332033061539609739477<37>
16331830083094763838923309065851594029977545890161477223157853651783<68>
factorization results 素因数分解の結果
N=17332231014901517019371018733255515717294955814636748933341453563952352829838230450216398048117706537491
  ( 104 digits)
SNFS difficulty: 115 digits.
Divisors found:
 r1=1061254674259823332033061539609739477 (pp37)
 r2=16331830083094763838923309065851594029977545890161477223157853651783 (pp68)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.32 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 17332231014901517019371018733255515717294955814636748933341453563952352829838230450216398048117706537491
m: 10000000000000000000000000000
deg: 4
c4: 1400
c0: -1
skew: 0.16
# Murphy_E = 7.176e-08
type: snfs
lss: 1
rlim: 580000
alim: 580000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 580000/580000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [290000, 610001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 59565 x 59790
Total sieving time: 0.31 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,115.000,4,0,0,0,0,0,0,0,0,580000,580000,25,25,45,45,2.2,2.2,20000
total time: 0.32 hours.
 --------- CPU info (if available) ----------
[    0.117346] smpboot: CPU0: 11th Gen Intel(R) Core(TM) i7-1165G7 @ 2.80GHz (family: 0x6, model: 0x8c, stepping: 0x1)
[    0.071557] Memory: 15863944K/16489528K available (16393K kernel code, 3514K rwdata, 5516K rodata, 2936K init, 5684K bss, 625324K reserved, 0K cma-reserved)
[    0.134106] x86/mm: Memory block size: 128MB
[    0.113352] Calibrating delay loop (skipped), value calculated using timer frequency.. 5606.40 BogoMIPS (lpj=11212800)
[    0.130780] smpboot: Total of 8 processors activated (44851.20 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)

7×10126-5

c124

name 名前Dmitry Domanov
date 日付November 7, 2022 21:52:47 UTC 2022 年 11 月 8 日 (火) 6 時 52 分 47 秒 (日本時間)
composite number 合成数
3580562659846547314578005115089514066496163682864450127877237851662404092071611253196930946291560102301790281329923273657289<124>
prime factors 素因数
242655181384087797530972559703968854673829<42>
14755764288334063257382483104441451196485085997306731789823426318043550598334150741<83>
factorization results 素因数分解の結果
N=3580562659846547314578005115089514066496163682864450127877237851662404092071611253196930946291560102301790281329923273657289
  ( 124 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=242655181384087797530972559703968854673829 (pp42)
 r2=14755764288334063257382483104441451196485085997306731789823426318043550598334150741 (pp83)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.02 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 3580562659846547314578005115089514066496163682864450127877237851662404092071611253196930946291560102301790281329923273657289
m: 10000000000000000000000000000000
deg: 4
c4: 140
c0: -1
skew: 0.29
# Murphy_E = 2.274e-08
type: snfs
lss: 1
rlim: 890000
alim: 890000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 890000/890000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [445000, 745001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 110623 x 110848
Total sieving time: 0.00 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,126.000,4,0,0,0,0,0,0,0,0,890000,890000,26,26,46,46,2.3,2.3,75000
total time: 0.02 hours.
 --------- CPU info (if available) ----------
[    0.117346] smpboot: CPU0: 11th Gen Intel(R) Core(TM) i7-1165G7 @ 2.80GHz (family: 0x6, model: 0x8c, stepping: 0x1)
[    0.071557] Memory: 15863944K/16489528K available (16393K kernel code, 3514K rwdata, 5516K rodata, 2936K init, 5684K bss, 625324K reserved, 0K cma-reserved)
[    0.134106] x86/mm: Memory block size: 128MB
[    0.113352] Calibrating delay loop (skipped), value calculated using timer frequency.. 5606.40 BogoMIPS (lpj=11212800)
[    0.130780] smpboot: Total of 8 processors activated (44851.20 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)

7×10127-5

c117

name 名前Dmitry Domanov
date 日付November 7, 2022 22:50:03 UTC 2022 年 11 月 8 日 (火) 7 時 50 分 3 秒 (日本時間)
composite number 合成数
218200131410533515981034644877529384512992863347986724678257367634444758966443563016697762141660750612608141309718751<117>
prime factors 素因数
5405446653187178411561122832851791298102039<43>
40366716279010466102918534711624108625995912379531657572704730258466143609<74>
factorization results 素因数分解の結果
N=218200131410533515981034644877529384512992863347986724678257367634444758966443563016697762141660750612608141309718751
  ( 117 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=5405446653187178411561122832851791298102039 (pp43)
 r2=40366716279010466102918534711624108625995912379531657572704730258466143609 (pp74)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.02 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 218200131410533515981034644877529384512992863347986724678257367634444758966443563016697762141660750612608141309718751
m: 10000000000000000000000000000000
deg: 4
c4: 1400
c0: -1
skew: 0.16
# Murphy_E = 1.934e-08
type: snfs
lss: 1
rlim: 920000
alim: 920000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 920000/920000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [460000, 835001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 109152 x 109379
Total sieving time: 0.00 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,127.000,4,0,0,0,0,0,0,0,0,920000,920000,26,26,46,46,2.3,2.3,75000
total time: 0.02 hours.
 --------- CPU info (if available) ----------
[    0.117346] smpboot: CPU0: 11th Gen Intel(R) Core(TM) i7-1165G7 @ 2.80GHz (family: 0x6, model: 0x8c, stepping: 0x1)
[    0.071557] Memory: 15863944K/16489528K available (16393K kernel code, 3514K rwdata, 5516K rodata, 2936K init, 5684K bss, 625324K reserved, 0K cma-reserved)
[    0.134106] x86/mm: Memory block size: 128MB
[    0.113352] Calibrating delay loop (skipped), value calculated using timer frequency.. 5606.40 BogoMIPS (lpj=11212800)
[    0.130780] smpboot: Total of 8 processors activated (44851.20 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)

7×10134-5

c103

name 名前Dmitry Domanov
date 日付November 8, 2022 15:52:20 UTC 2022 年 11 月 9 日 (水) 0 時 52 分 20 秒 (日本時間)
composite number 合成数
2347341369545830023499754761546663245407471397591677875690828215613820801902968182303529225367558295363<103>
prime factors 素因数
45783624492407305775476668413748014262252961099<47>
51270326357300740449726920047809914739755769316394095337<56>
factorization results 素因数分解の結果
N=2347341369545830023499754761546663245407471397591677875690828215613820801902968182303529225367558295363
  ( 103 digits)
Divisors found:
 r1=45783624492407305775476668413748014262252961099 (pp47)
 r2=51270326357300740449726920047809914739755769316394095337 (pp56)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.05 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 2347341369545830023499754761546663245407471397591677875690828215613820801902968182303529225367558295363
skew: 709987.72
c0: 2582360984207424782263463123
c1: 7604784338325456092171
c2: -17331876060143516
c3: -33580918694
c4: 25620
Y0: -3093867048664549037741040
Y1: 51418263305327
rlim: 2220000
alim: 2220000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 50000
Factor base limits: 2220000/2220000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1110000, 1610001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 233501 x 233728
Total sieving time: 0.00 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:
gnfs,102,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2220000,2220000,26,26,52,52,2.5,2.5,100000
total time: 0.05 hours.
 --------- CPU info (if available) ----------
[    0.117346] smpboot: CPU0: 11th Gen Intel(R) Core(TM) i7-1165G7 @ 2.80GHz (family: 0x6, model: 0x8c, stepping: 0x1)
[    0.071557] Memory: 15863944K/16489528K available (16393K kernel code, 3514K rwdata, 5516K rodata, 2936K init, 5684K bss, 625324K reserved, 0K cma-reserved)
[    0.134106] x86/mm: Memory block size: 128MB
[    0.113352] Calibrating delay loop (skipped), value calculated using timer frequency.. 5606.40 BogoMIPS (lpj=11212800)
[    0.130780] smpboot: Total of 8 processors activated (44851.20 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)

7×10137-5

c121

name 名前Ignacio Santos
date 日付November 10, 2022 16:58:42 UTC 2022 年 11 月 11 日 (金) 1 時 58 分 42 秒 (日本時間)
composite number 合成数
4545150756654556004364391623411581653451510365094913970104206533200250984850604304391032036931876805181189223265241631717<121>
prime factors 素因数
322786575348616248679029214627641641903254285818653<51>
14080978280294644157853172238493304048984347192762035649520392431997289<71>
factorization results 素因数分解の結果
Number: 1
N=4545150756654556004364391623411581653451510365094913970104206533200250984850604304391032036931876805181189223265241631717
  ( 121 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=322786575348616248679029214627641641903254285818653 (pp51)
 r2=14080978280294644157853172238493304048984347192762035649520392431997289 (pp71)
Version: Msieve v. 1.52 (SVN 927)
Total time: 3.42 hours.
Scaled time: 26.60 units (timescale=7.770).
Factorization parameters were as follows:
n: 4545150756654556004364391623411581653451510365094913970104206533200250984850604304391032036931876805181189223265241631717
m: 10000000000000000000000000000000000
deg: 4
c4: 14
c0: -1
skew: 0.52
# Murphy_E = 6.828e-09
type: snfs
lss: 1
rlim: 1350000
alim: 1350000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor 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, 1575001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 201321 x 201546
Total sieving time: 3.39 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,137.000,4,0,0,0,0,0,0,0,0,1350000,1350000,26,26,48,48,2.3,2.3,100000
total time: 3.42 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)

7×10142-5

c130

name 名前Bob Backstrom
date 日付November 10, 2022 09:36:06 UTC 2022 年 11 月 10 日 (木) 18 時 36 分 6 秒 (日本時間)
composite number 合成数
4326068963085521275539813912503410350327718973709144017156362687048597806667754247834524819024611300109083729933406261708124925553<130>
prime factors 素因数
716992615572936775805946082062992195315587451183<48>
6033631126910047896777254795130417843151588092866559909426903009012641129819511391<82>
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 4326068963085521275539813912503410350327718973709144017156362687048597806667754247834524819024611300109083729933406261708124925553 (130 digits)
Using B1=29270000, B2=144288594466, polynomial Dickson(12), sigma=1:845033016
Step 1 took 46705ms
Step 2 took 19653ms
********** Factor found in step 2: 716992615572936775805946082062992195315587451183
Found prime factor of 48 digits: 716992615572936775805946082062992195315587451183
Prime cofactor 6033631126910047896777254795130417843151588092866559909426903009012641129819511391 has 82 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)

7×10146-5

c141

name 名前Bob Backstrom
date 日付November 7, 2022 21:33:00 UTC 2022 年 11 月 8 日 (火) 6 時 33 分 0 秒 (日本時間)
composite number 合成数
481415637067628580958636080726524969997489761321004508113572826150497405513584517673111905064836370263643834956964880729275916495019067497911<141>
prime factors 素因数
4410929935427662681530780188051667715331<40>
109141528910037611386044432100283812437227115232575008227749301284483723326774657670561699824112133181<102>
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 481415637067628580958636080726524969997489761321004508113572826150497405513584517673111905064836370263643834956964880729275916495019067497911 (141 digits)
Using B1=26610000, B2=144285831706, polynomial Dickson(12), sigma=1:3005104656
Step 1 took 52739ms
Step 2 took 21367ms
********** Factor found in step 2: 4410929935427662681530780188051667715331
Found prime factor of 40 digits: 4410929935427662681530780188051667715331
Prime cofactor 109141528910037611386044432100283812437227115232575008227749301284483723326774657670561699824112133181 has 102 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)

7×10148-5

c142

name 名前Bob Backstrom
date 日付November 9, 2022 15:18:00 UTC 2022 年 11 月 10 日 (木) 0 時 18 分 0 秒 (日本時間)
composite number 合成数
2201359276457233014036652946432909566431283705365671720411018935306296343526517809704126306447765596748403660734684789723803313580326892418157<142>
prime factors 素因数
52567079255149806476947696954266238569530291<44>
41877146450771731130722493510297635086585647044102641435007115407428111836198187711261015188543327<98>
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 2201359276457233014036652946432909566431283705365671720411018935306296343526517809704126306447765596748403660734684789723803313580326892418157 (142 digits)
Using B1=27800000, B2=144287213086, polynomial Dickson(12), sigma=1:2358677549
Step 1 took 56382ms
Step 2 took 21768ms
********** Factor found in step 2: 52567079255149806476947696954266238569530291
Found prime factor of 44 digits: 52567079255149806476947696954266238569530291
Prime cofactor 41877146450771731130722493510297635086585647044102641435007115407428111836198187711261015188543327 has 98 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)

7×10150-5

c128

name 名前SuikaPredator
date 日付November 20, 2022 14:48:43 UTC 2022 年 11 月 20 日 (日) 23 時 48 分 43 秒 (日本時間)
composite number 合成数
17106222748556238149994093456150288548247253942275616955020588835267711321086080974666704395935351083087207103425660043915237069<128>
prime factors 素因数
252651651949231503597872786561681279583306761<45>
67706752030236509780830069960874655805582027193925584389650271128136482351379781029<83>
factorization results 素因数分解の結果
n: 17106222748556238149994093456150288548247253942275616955020588835267711321086080974666704395935351083087207103425660043915237069
# 7*10^150-5, difficulty: 150.00, anorm: 4.17e+35, rnorm: 1.16e+37
# scaled difficulty: 150.00, suggest sieving algebraic side
# size = 1.711e-10, alpha = 0.000, combined = 1.667e-09, rroots = 1
type: snfs
size: 150
skew: 1.0000
c5: 7
c0: -5
Y1: -1
Y0: 1000000000000000000000000000000

rlim: 4240000
alim: 4240000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5



Sun Nov 20 22:28:46 2022  
Sun Nov 20 22:28:46 2022  commencing relation filtering
Sun Nov 20 22:28:46 2022  estimated available RAM is 16138.8 MB
Sun Nov 20 22:28:46 2022  commencing duplicate removal, pass 1
Sun Nov 20 22:30:37 2022  found 913668 hash collisions in 10469456 relations
Sun Nov 20 22:30:51 2022  added 371580 free relations
Sun Nov 20 22:30:51 2022  commencing duplicate removal, pass 2
Sun Nov 20 22:31:00 2022  found 240782 duplicates and 10600254 unique relations
Sun Nov 20 22:31:00 2022  memory use: 41.3 MB
Sun Nov 20 22:31:00 2022  reading ideals above 720000
Sun Nov 20 22:31:00 2022  commencing singleton removal, initial pass
Sun Nov 20 22:32:43 2022  memory use: 344.5 MB
Sun Nov 20 22:32:43 2022  reading all ideals from disk
Sun Nov 20 22:32:43 2022  memory use: 295.5 MB
Sun Nov 20 22:32:43 2022  keeping 11354396 ideals with weight <= 200, target excess is 151214
Sun Nov 20 22:32:44 2022  commencing in-memory singleton removal
Sun Nov 20 22:32:44 2022  begin with 10600254 relations and 11354396 unique ideals
Sun Nov 20 22:32:47 2022  reduce to 4386031 relations and 3788151 ideals in 16 passes
Sun Nov 20 22:32:47 2022  max relations containing the same ideal: 102
Sun Nov 20 22:32:49 2022  removing 1112408 relations and 901172 ideals in 211236 cliques
Sun Nov 20 22:32:49 2022  commencing in-memory singleton removal
Sun Nov 20 22:32:49 2022  begin with 3273623 relations and 3788151 unique ideals
Sun Nov 20 22:32:50 2022  reduce to 3032840 relations and 2630350 ideals in 11 passes
Sun Nov 20 22:32:50 2022  max relations containing the same ideal: 81
Sun Nov 20 22:32:51 2022  removing 847378 relations and 636142 ideals in 211236 cliques
Sun Nov 20 22:32:51 2022  commencing in-memory singleton removal
Sun Nov 20 22:32:51 2022  begin with 2185462 relations and 2630350 unique ideals
Sun Nov 20 22:32:52 2022  reduce to 1991337 relations and 1785126 ideals in 11 passes
Sun Nov 20 22:32:52 2022  max relations containing the same ideal: 55
Sun Nov 20 22:32:52 2022  removing 190169 relations and 159367 ideals in 30802 cliques
Sun Nov 20 22:32:52 2022  commencing in-memory singleton removal
Sun Nov 20 22:32:52 2022  begin with 1801168 relations and 1785126 unique ideals
Sun Nov 20 22:32:52 2022  reduce to 1787100 relations and 1611470 ideals in 7 passes
Sun Nov 20 22:32:52 2022  max relations containing the same ideal: 51
Sun Nov 20 22:32:53 2022  relations with 0 large ideals: 8189
Sun Nov 20 22:32:53 2022  relations with 1 large ideals: 57606
Sun Nov 20 22:32:53 2022  relations with 2 large ideals: 236828
Sun Nov 20 22:32:53 2022  relations with 3 large ideals: 486093
Sun Nov 20 22:32:53 2022  relations with 4 large ideals: 533364
Sun Nov 20 22:32:53 2022  relations with 5 large ideals: 323866
Sun Nov 20 22:32:53 2022  relations with 6 large ideals: 119518
Sun Nov 20 22:32:53 2022  relations with 7+ large ideals: 21636
Sun Nov 20 22:32:53 2022  commencing 2-way merge
Sun Nov 20 22:32:54 2022  reduce to 1025068 relation sets and 849438 unique ideals
Sun Nov 20 22:32:54 2022  commencing full merge
Sun Nov 20 22:33:02 2022  memory use: 84.1 MB
Sun Nov 20 22:33:02 2022  found 457456 cycles, need 437638
Sun Nov 20 22:33:02 2022  weight of 437638 cycles is about 39467832 (90.18/cycle)
Sun Nov 20 22:33:02 2022  distribution of cycle lengths:
Sun Nov 20 22:33:02 2022  1 relations: 33114
Sun Nov 20 22:33:02 2022  2 relations: 32384
Sun Nov 20 22:33:02 2022  3 relations: 34127
Sun Nov 20 22:33:02 2022  4 relations: 33428
Sun Nov 20 22:33:02 2022  5 relations: 33092
Sun Nov 20 22:33:02 2022  6 relations: 31964
Sun Nov 20 22:33:02 2022  7 relations: 29886
Sun Nov 20 22:33:02 2022  8 relations: 28616
Sun Nov 20 22:33:02 2022  9 relations: 26572
Sun Nov 20 22:33:02 2022  10+ relations: 154455
Sun Nov 20 22:33:02 2022  heaviest cycle: 23 relations
Sun Nov 20 22:33:02 2022  commencing cycle optimization
Sun Nov 20 22:33:02 2022  start with 3486248 relations
Sun Nov 20 22:33:08 2022  pruned 114668 relations
Sun Nov 20 22:33:08 2022  memory use: 104.2 MB
Sun Nov 20 22:33:08 2022  distribution of cycle lengths:
Sun Nov 20 22:33:08 2022  1 relations: 33114
Sun Nov 20 22:33:08 2022  2 relations: 33144
Sun Nov 20 22:33:08 2022  3 relations: 35533
Sun Nov 20 22:33:08 2022  4 relations: 34623
Sun Nov 20 22:33:08 2022  5 relations: 34323
Sun Nov 20 22:33:08 2022  6 relations: 33141
Sun Nov 20 22:33:08 2022  7 relations: 31002
Sun Nov 20 22:33:08 2022  8 relations: 29511
Sun Nov 20 22:33:08 2022  9 relations: 27244
Sun Nov 20 22:33:08 2022  10+ relations: 146003
Sun Nov 20 22:33:08 2022  heaviest cycle: 23 relations
Sun Nov 20 22:33:08 2022  RelProcTime: 262
Sun Nov 20 22:33:08 2022  
Sun Nov 20 22:33:08 2022  commencing linear algebra
Sun Nov 20 22:33:08 2022  read 437638 cycles
Sun Nov 20 22:33:09 2022  cycles contain 1651654 unique relations
Sun Nov 20 22:33:28 2022  read 1651654 relations
Sun Nov 20 22:33:29 2022  using 20 quadratic characters above 4294917295
Sun Nov 20 22:33:37 2022  building initial matrix
Sun Nov 20 22:33:49 2022  memory use: 190.5 MB
Sun Nov 20 22:33:49 2022  read 437638 cycles
Sun Nov 20 22:33:49 2022  matrix is 437455 x 437638 (160.3 MB) with weight 46845801 (107.04/col)
Sun Nov 20 22:33:49 2022  sparse part has weight 37216357 (85.04/col)
Sun Nov 20 22:33:52 2022  filtering completed in 2 passes
Sun Nov 20 22:33:52 2022  matrix is 436828 x 437011 (160.2 MB) with weight 46814695 (107.12/col)
Sun Nov 20 22:33:52 2022  sparse part has weight 37199438 (85.12/col)
Sun Nov 20 22:33:52 2022  matrix starts at (0, 0)
Sun Nov 20 22:33:53 2022  matrix is 436828 x 437011 (160.2 MB) with weight 46814695 (107.12/col)
Sun Nov 20 22:33:53 2022  sparse part has weight 37199438 (85.12/col)
Sun Nov 20 22:33:53 2022  saving the first 48 matrix rows for later
Sun Nov 20 22:33:53 2022  matrix includes 64 packed rows
Sun Nov 20 22:33:53 2022  matrix is 436780 x 437011 (150.5 MB) with weight 38497583 (88.09/col)
Sun Nov 20 22:33:53 2022  sparse part has weight 35071673 (80.25/col)
Sun Nov 20 22:33:53 2022  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Sun Nov 20 22:33:55 2022  commencing Lanczos iteration (12 threads)
Sun Nov 20 22:33:55 2022  memory use: 139.7 MB
Sun Nov 20 22:33:59 2022  linear algebra at 2.8%, ETA 0h 2m
Sun Nov 20 22:37:06 2022  lanczos halted after 6907 iterations (dim = 436777)
Sun Nov 20 22:37:06 2022  recovered 34 nontrivial dependencies
Sun Nov 20 22:37:07 2022  BLanczosTime: 239
Sun Nov 20 22:37:07 2022  
Sun Nov 20 22:37:07 2022  commencing square root phase
Sun Nov 20 22:37:07 2022  reading relations for dependency 1
Sun Nov 20 22:37:07 2022  read 218831 cycles
Sun Nov 20 22:37:07 2022  cycles contain 825988 unique relations
Sun Nov 20 22:37:20 2022  read 825988 relations
Sun Nov 20 22:37:22 2022  multiplying 825988 relations
Sun Nov 20 22:37:33 2022  multiply complete, coefficients have about 20.03 million bits
Sun Nov 20 22:37:33 2022  initial square root is modulo 565511
Sun Nov 20 22:37:46 2022  GCD is N, no factor found
Sun Nov 20 22:37:46 2022  reading relations for dependency 2
Sun Nov 20 22:37:47 2022  read 218579 cycles
Sun Nov 20 22:37:47 2022  cycles contain 826450 unique relations
Sun Nov 20 22:38:00 2022  read 826450 relations
Sun Nov 20 22:38:02 2022  multiplying 826450 relations
Sun Nov 20 22:38:12 2022  multiply complete, coefficients have about 20.04 million bits
Sun Nov 20 22:38:12 2022  initial square root is modulo 569771
Sun Nov 20 22:38:25 2022  GCD is N, no factor found
Sun Nov 20 22:38:25 2022  reading relations for dependency 3
Sun Nov 20 22:38:25 2022  read 218549 cycles
Sun Nov 20 22:38:25 2022  cycles contain 824986 unique relations
Sun Nov 20 22:38:38 2022  read 824986 relations
Sun Nov 20 22:38:39 2022  multiplying 824986 relations
Sun Nov 20 22:38:49 2022  multiply complete, coefficients have about 20.00 million bits
Sun Nov 20 22:38:49 2022  initial square root is modulo 556351
Sun Nov 20 22:39:01 2022  GCD is N, no factor found
Sun Nov 20 22:39:01 2022  reading relations for dependency 4
Sun Nov 20 22:39:01 2022  read 218197 cycles
Sun Nov 20 22:39:02 2022  cycles contain 824266 unique relations
Sun Nov 20 22:39:14 2022  read 824266 relations
Sun Nov 20 22:39:16 2022  multiplying 824266 relations
Sun Nov 20 22:39:26 2022  multiply complete, coefficients have about 19.99 million bits
Sun Nov 20 22:39:26 2022  initial square root is modulo 550621
Sun Nov 20 22:39:38 2022  found factor: 252651651949231503597872786561681279583306761
Sun Nov 20 22:39:38 2022  reading relations for dependency 5
Sun Nov 20 22:39:38 2022  read 218310 cycles
Sun Nov 20 22:39:38 2022  cycles contain 826174 unique relations
Sun Nov 20 22:39:50 2022  read 826174 relations
Sun Nov 20 22:39:52 2022  multiplying 826174 relations
Sun Nov 20 22:40:02 2022  multiply complete, coefficients have about 20.03 million bits
Sun Nov 20 22:40:02 2022  initial square root is modulo 567751
Sun Nov 20 22:40:15 2022  sqrtTime: 188


***factors found***

P83 = 67706752030236509780830069960874655805582027193925584389650271128136482351379781029
C24 = 409207813021772946874855
P45 = 252651651949231503597872786561681279583306761

ans = 0
software ソフトウェア
YAFU Version 2.09
Built with Microsoft Visual Studio 1931
Using GMP-ECM 7.0.4, Powered by MPIR 3.0.0
msieve-1.53-SVN998
execution environment 実行環境
Intel(R) Core(TM) i7-10710U CPU @ 1.10GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e62088SuikaPredatorNovember 20, 2022 13:14:31 UTC 2022 年 11 月 20 日 (日) 22 時 14 分 31 秒 (日本時間)

7×10151-5

c105

name 名前ebina
date 日付November 8, 2022 08:54:55 UTC 2022 年 11 月 8 日 (火) 17 時 54 分 55 秒 (日本時間)
composite number 合成数
806311487588185772136100746533477555074522386569357130933339014531673771868528215029121556199533780029127<105>
prime factors 素因数
91144991151215478963131472982478114193235387<44>
8846470633262364118221870966845475099692585058084154893778021<61>
factorization results 素因数分解の結果
Tue Nov  8 12:59:12 2022  Msieve v. 1.53 (SVN unknown)
Tue Nov  8 12:59:12 2022  random seeds: d37bfd40 fa4b467c
Tue Nov  8 12:59:12 2022  factoring 806311487588185772136100746533477555074522386569357130933339014531673771868528215029121556199533780029127 (105 digits)
Tue Nov  8 12:59:13 2022  searching for 15-digit factors
Tue Nov  8 12:59:14 2022  commencing number field sieve (105-digit input)
Tue Nov  8 12:59:14 2022  R0: -115351812002059752113
Tue Nov  8 12:59:14 2022  R1: 20357838457
Tue Nov  8 12:59:14 2022  A0: -113361442760947498183968
Tue Nov  8 12:59:14 2022  A1: 4677123696527080427204
Tue Nov  8 12:59:14 2022  A2: -535015679322523450
Tue Nov  8 12:59:14 2022  A3: -17958066700177
Tue Nov  8 12:59:14 2022  A4: 1853409846
Tue Nov  8 12:59:14 2022  A5: 39480
Tue Nov  8 12:59:14 2022  skew 15470.21, size 4.011e-10, alpha -5.905, combined = 1.587e-09 rroots = 5
Tue Nov  8 12:59:14 2022  
Tue Nov  8 12:59:14 2022  commencing square root phase
Tue Nov  8 12:59:14 2022  reading relations for dependency 1
Tue Nov  8 12:59:14 2022  read 161800 cycles
Tue Nov  8 12:59:14 2022  cycles contain 581418 unique relations
Tue Nov  8 12:59:22 2022  read 581418 relations
Tue Nov  8 12:59:24 2022  multiplying 581418 relations
Tue Nov  8 12:59:50 2022  multiply complete, coefficients have about 24.99 million bits
Tue Nov  8 12:59:50 2022  initial square root is modulo 14989963
Tue Nov  8 13:00:30 2022  GCD is N, no factor found
Tue Nov  8 13:00:30 2022  reading relations for dependency 2
Tue Nov  8 13:00:30 2022  read 161230 cycles
Tue Nov  8 13:00:30 2022  cycles contain 579630 unique relations
Tue Nov  8 13:00:37 2022  read 579630 relations
Tue Nov  8 13:00:40 2022  multiplying 579630 relations
Tue Nov  8 13:01:06 2022  multiply complete, coefficients have about 24.91 million bits
Tue Nov  8 13:01:07 2022  initial square root is modulo 14256713
Tue Nov  8 13:01:45 2022  GCD is N, no factor found
Tue Nov  8 13:01:45 2022  reading relations for dependency 3
Tue Nov  8 13:01:45 2022  read 162149 cycles
Tue Nov  8 13:01:45 2022  cycles contain 582638 unique relations
Tue Nov  8 13:01:53 2022  read 582638 relations
Tue Nov  8 13:01:56 2022  multiplying 582638 relations
Tue Nov  8 13:02:22 2022  multiply complete, coefficients have about 25.04 million bits
Tue Nov  8 13:02:22 2022  initial square root is modulo 15538661
Tue Nov  8 13:03:01 2022  sqrtTime: 227
Tue Nov  8 13:03:01 2022  p44 factor: 91144991151215478963131472982478114193235387
Tue Nov  8 13:03:01 2022  p61 factor: 8846470633262364118221870966845475099692585058084154893778021
Tue Nov  8 13:03:01 2022  elapsed time 00:03:49

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)

7×10154-5

c115

name 名前Eric Jeancolas
date 日付November 15, 2022 10:30:08 UTC 2022 年 11 月 15 日 (火) 19 時 30 分 8 秒 (日本時間)
composite number 合成数
1093279230362986211758769344277454361926822442601455814040668528405204581604722900030477226450643747415748014738447<115>
prime factors 素因数
37264415032766361071758258846718038658351873<44>
29338424590904561317724668578460305396686327331314146775225379648429839<71>
factorization results 素因数分解の結果
1093279230362986211758769344277454361926822442601455814040668528405204581604722900030477226450643747415748014738447=37264415032766361071758258846718038658351873*29338424590904561317724668578460305396686327331314146775225379648429839

cado polynomial
n: 1093279230362986211758769344277454361926822442601455814040668528405204581604722900030477226450643747415748014738447
skew: 3504.02
c0: -8901118185618712675104
c1: 205684772767661364612
c2: -354700989366851758
c3: -46582242336142
c4: 5270402907
c5: 1446480
Y0: -6862275222617953477717
Y1: 93448309941494849
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.213e-06
# f(x) = 1446480*x^5+5270402907*x^4-46582242336142*x^3-354700989366851758*x^2+205684772767661364612*x-8901118185618712675104
# g(x) = 93448309941494849*x-6862275222617953477717

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: 29338424590904561317724668578460305396686327331314146775225379648429839 37264415032766361071758258846718038658351873
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): 21789/32.970/40.636/45.810/1.078
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 17010/32.730/35.974/41.090/0.824
Info:Polynomial Selection (size optimized): Total time: 2649.85
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 364.64
Info:Polynomial Selection (root optimized): Rootsieve time: 342.33
Info:Generate Factor Base: Total cpu/real time for makefb: 4.83/0.762676
Info:Generate Free Relations: Total cpu/real time for freerel: 74.12/9.33042
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6724507
Info:Lattice Sieving: Average J: 1886.64 for 108691 special-q, max bucket fill -bkmult 1.0,1s:1.160450
Info:Lattice Sieving: Total time: 28988.6s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 18.15/27.9694
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 27.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 140.93/110.968
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 95.6s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 109.58/81.2879
Info:Filtering - Merging: Merged matrix has 404212 rows and total weight 63280239 (156.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 88.66/12.8907
Info:Filtering - Merging: Total cpu/real time for replay: 13.45/11.0055
Info:Linear Algebra: Total cpu/real time for bwc: 1670.61/440.94
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 268.89, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12672 iterations)
Info:Linear Algebra: Lingen CPU time 41.44, WCT time 11.25
Info:Linear Algebra: Mksol: WCT time 151.88, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6400 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 17.1/4.49918
Info:Square Root: Total cpu/real time for sqrt: 810.93/108.14
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 71143.9/8444.83
Info:root: Cleaning up computation data in /tmp/cado.dhubhndm
29338424590904561317724668578460305396686327331314146775225379648429839 37264415032766361071758258846718038658351873
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)

7×10155-5

c139

name 名前Ignacio Santos
date 日付November 21, 2022 12:26:36 UTC 2022 年 11 月 21 日 (月) 21 時 26 分 36 秒 (日本時間)
composite number 合成数
1468687028933035898989773479612197792285944828436985079418009396738404518064113559863752045558006947066437601849109289233748708109421459631<139>
prime factors 素因数
6858525563161266206299845879432356474422752490673<49>
214140344802634411055516788970075051588797267554938651531299152258597480384587616015326047<90>
factorization results 素因数分解の結果
Number: 1
N=1468687028933035898989773479612197792285944828436985079418009396738404518064113559863752045558006947066437601849109289233748708109421459631
  ( 139 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=6858525563161266206299845879432356474422752490673 (pp49)
 r2=214140344802634411055516788970075051588797267554938651531299152258597480384587616015326047 (pp90)
Version: Msieve v. 1.52 (SVN 927)
Total time: 9.40 hours.
Scaled time: 73.38 units (timescale=7.806).
Factorization parameters were as follows:
n: 1468687028933035898989773479612197792285944828436985079418009396738404518064113559863752045558006947066437601849109289233748708109421459631
m: 10000000000000000000000000000000
deg: 5
c5: 7
c0: -5
skew: 0.93
# Murphy_E = 1.082e-09
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1400000, 2100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 530079 x 530304
Total sieving time: 9.31 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,155.000,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 9.40 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)

7×10156-5

c147

name 名前Bob Backstrom
date 日付November 9, 2022 15:00:24 UTC 2022 年 11 月 10 日 (木) 0 時 0 分 24 秒 (日本時間)
composite number 合成数
512829178882237866036437310975262718606226176202266204815687458648179419949150371485013816169370454786516727610327782876046674234880028468993904797<147>
prime factors 素因数
19284871458818771212831178117713362195898758919898058945137375903<65>
26592304749209329805062104871923299410610049763863091276804549369944011660240856899<83>
factorization results 素因数分解の結果
Number: n
N=512829178882237866036437310975262718606226176202266204815687458648179419949150371485013816169370454786516727610327782876046674234880028468993904797  ( 147 digits)
SNFS difficulty: 156 digits.
Divisors found:

Thu Nov 10 01:46:11 2022  p65 factor: 19284871458818771212831178117713362195898758919898058945137375903
Thu Nov 10 01:46:11 2022  p83 factor: 26592304749209329805062104871923299410610049763863091276804549369944011660240856899
Thu Nov 10 01:46:11 2022  elapsed time 00:06:18 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.335).
Factorization parameters were as follows:
#
# N = 7x10^156-5 = 69(155)5
#
n: 512829178882237866036437310975262718606226176202266204815687458648179419949150371485013816169370454786516727610327782876046674234880028468993904797
m: 10000000000000000000000000000000
deg: 5
c5: 14
c0: -1
skew: 0.59
# Murphy_E = 1.2e-09
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1326268 hash collisions in 15230723 relations (14941878 unique)
Msieve: matrix is 344642 x 344868 (114.3 MB)

Sieving start time : 2022/11/10 01:05:46
Sieving end time  : 2022/11/10 01:39:33

Total sieving time: 0hrs 33min 47secs.

Total relation processing time: 0hrs 2min 39sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 14sec.

Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)

7×10157-5

c116

name 名前Eric Jeancolas
date 日付November 15, 2022 14:57:08 UTC 2022 年 11 月 15 日 (火) 23 時 57 分 8 秒 (日本時間)
composite number 合成数
52085727589683249275667622499036855839630678285192096750106941054019213850526775923915334983817550221200657886726801<116>
prime factors 素因数
36941930596396471943521944987456051619<38>
1409935180668765325898343108637432158736640437597144750225702559111189608773179<79>
factorization results 素因数分解の結果
52085727589683249275667622499036855839630678285192096750106941054019213850526775923915334983817550221200657886726801=36941930596396471943521944987456051619*1409935180668765325898343108637432158736640437597144750225702559111189608773179

cado polynomial
n: 52085727589683249275667622499036855839630678285192096750106941054019213850526775923915334983817550221200657886726801
skew: 19301.238
c0: -59986019109014616269031030
c1: 34078136059033012554371
c2: 536857743390190794
c3: -49607803411079
c4: -92643186
c5: 73080
Y0: -21131728283154608915219
Y1: 703044437038080841
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.044e-06
# f(x) = 73080*x^5-92643186*x^4-49607803411079*x^3+536857743390190794*x^2+34078136059033012554371*x-59986019109014616269031030
# g(x) = 703044437038080841*x-21131728283154608915219

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: 36941930596396471943521944987456051619 1409935180668765325898343108637432158736640437597144750225702559111189608773179
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): 22017/33.560/41.323/46.380/1.080
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 17287/31.620/36.567/41.750/0.844
Info:Polynomial Selection (size optimized): Total time: 2624.25
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 413.18
Info:Polynomial Selection (root optimized): Rootsieve time: 393.29
Info:Generate Factor Base: Total cpu/real time for makefb: 7.55/1.18601
Info:Generate Free Relations: Total cpu/real time for freerel: 77.68/9.79121
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7153652
Info:Lattice Sieving: Average J: 1889.16 for 148480 special-q, max bucket fill -bkmult 1.0,1s:1.247400
Info:Lattice Sieving: Total time: 36470.7s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 19.02/24.5529
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 23.799999999999997s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 159.44/130.956
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 113.39999999999999s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 127.53/96.5735
Info:Filtering - Merging: Merged matrix has 441122 rows and total weight 68481889 (155.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 94.4/13.8299
Info:Filtering - Merging: Total cpu/real time for replay: 14.74/11.9554
Info:Linear Algebra: Total cpu/real time for bwc: 2010.87/532.56
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 328.35, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13824 iterations)
Info:Linear Algebra: Lingen CPU time 47.5, WCT time 12.91
Info:Linear Algebra: Mksol: WCT time 181.32, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6912 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 23.6/5.5418
Info:Square Root: Total cpu/real time for sqrt: 814.28/109.279
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 86038.8/10421.4
Info:root: Cleaning up computation data in /tmp/cado.w5sgl18a
36941930596396471943521944987456051619 1409935180668765325898343108637432158736640437597144750225702559111189608773179
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)

7×10159-5

c156

name 名前Bob Backstrom
date 日付November 9, 2022 00:18:18 UTC 2022 年 11 月 9 日 (水) 9 時 18 分 18 秒 (日本時間)
composite number 合成数
945307224848075624577987846049966239027683997299122214719783929777177582714382174206617150573936529372045914922349763673193787981093855503038487508440243079<156>
prime factors 素因数
303889068088296675639582789206811615822289<42>
4878653720081892530406141847707901208358246938793261851<55>
637614091017053722702192789742386853915472563346522327478261<60>
factorization results 素因数分解の結果
Number: n
N=945307224848075624577987846049966239027683997299122214719783929777177582714382174206617150573936529372045914922349763673193787981093855503038487508440243079  ( 156 digits)
SNFS difficulty: 159 digits.
Divisors found:

Wed Nov  9 11:02:23 2022  found factor: 637614091017053722702192789742386853915472563346522327478261
Wed Nov  9 11:02:50 2022  p42 factor: 303889068088296675639582789206811615822289
Wed Nov  9 11:02:50 2022  p55 factor: 4878653720081892530406141847707901208358246938793261851
Wed Nov  9 11:02:50 2022  p60 factor: 637614091017053722702192789742386853915472563346522327478261
Wed Nov  9 11:02:50 2022  elapsed time 00:08:07 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.316).
Factorization parameters were as follows:
#
# N = 7x10^159-5 = 69(158)5
#
n: 945307224848075624577987846049966239027683997299122214719783929777177582714382174206617150573936529372045914922349763673193787981093855503038487508440243079
m: 10000000000000000000000000000000
deg: 5
c5: 14000
c0: -1
skew: 0.15
# Murphy_E = 5.846e-10
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 14350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1464209 hash collisions in 15953600 relations (15170478 unique)
Msieve: matrix is 453226 x 453474 (147.3 MB)

Sieving start time : 2022/11/09 09:51:32
Sieving end time  : 2022/11/09 10:54:22

Total sieving time: 1hrs 2min 50secs.

Total relation processing time: 0hrs 3min 4sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 55sec.

Prototype def-par.txt line would be:
snfs,159,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)

7×10164-5

c147

name 名前Bob Backstrom
date 日付November 9, 2022 12:35:31 UTC 2022 年 11 月 9 日 (水) 21 時 35 分 31 秒 (日本時間)
composite number 合成数
339003355862775636707372977004880724526238423904924578849081472788449585484144606661411065713806280792565340939190789663147130749417577090079010593<147>
prime factors 素因数
9066660988641632175996634052596995986123921614549690802488723<61>
37390099429929732567322573005272457569688468831421606561367795346333879916479046461691<86>
factorization results 素因数分解の結果
Number: n
N=339003355862775636707372977004880724526238423904924578849081472788449585484144606661411065713806280792565340939190789663147130749417577090079010593  ( 147 digits)
SNFS difficulty: 164 digits.
Divisors found:

Wed Nov  9 23:21:52 2022  p61 factor: 9066660988641632175996634052596995986123921614549690802488723
Wed Nov  9 23:21:52 2022  p86 factor: 37390099429929732567322573005272457569688468831421606561367795346333879916479046461691
Wed Nov  9 23:21:52 2022  elapsed time 00:09:24 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.314).
Factorization parameters were as follows:
#
# N = 7x10^164-5 = 69(163)5
#
n: 339003355862775636707372977004880724526238423904924578849081472788449585484144606661411065713806280792565340939190789663147130749417577090079010593
m: 100000000000000000000000000000000
deg: 5
c5: 14000
c0: -1
skew: 0.15
# Murphy_E = 3.738e-10
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 14700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1541293 hash collisions in 14552591 relations (13915469 unique)
Msieve: matrix is 573993 x 574220 (193.9 MB)

Sieving start time : 2022/11/09 22:04:10
Sieving end time  : 2022/11/09 23:12:04

Total sieving time: 1hrs 7min 54secs.

Total relation processing time: 0hrs 4min 39sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 13sec.

Prototype def-par.txt line would be:
snfs,164,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)

7×10166-5

c123

name 名前Eric Jeancolas
date 日付November 17, 2022 07:18:13 UTC 2022 年 11 月 17 日 (木) 16 時 18 分 13 秒 (日本時間)
composite number 合成数
658500297844068909232358514727559834723399195235160905480508736056981235812211764039748820974087346618190187129065306766099<123>
prime factors 素因数
3319426931074392335368920519415711777093<40>
198377705404388408404522381595731460684850788606735865955991669113021286621205402743<84>
factorization results 素因数分解の結果
658500297844068909232358514727559834723399195235160905480508736056981235812211764039748820974087346618190187129065306766099=3319426931074392335368920519415711777093*198377705404388408404522381595731460684850788606735865955991669113021286621205402743

cado polynomial
n: 658500297844068909232358514727559834723399195235160905480508736056981235812211764039748820974087346618190187129065306766099
skew: 42798.28
c0: 16454931831816774865804593612
c1: 2495399346122169629856017
c2: 45792041365898788188
c3: -4611150765832655
c4: -15507617118
c5: 299880
Y0: -917432994880059195950894
Y1: 114476476244557933
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 3.027e-07
# f(x) = 299880*x^5-15507617118*x^4-4611150765832655*x^3+45792041365898788188*x^2+2495399346122169629856017*x+16454931831816774865804593612
# g(x) = 114476476244557933*x-917432994880059195950894

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: 198377705404388408404522381595731460684850788606735865955991669113021286621205402743 3319426931074392335368920519415711777093
Info:Square Root: Total cpu/real time for sqrt: 1564.55/206.936
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): 20022/35.540/43.741/48.350/0.881
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15748/35.410/39.102/44.470/0.873
Info:Polynomial Selection (size optimized): Total time: 3191.77
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2660.6
Info:Polynomial Selection (root optimized): Rootsieve time: 2610.54
Info:Generate Factor Base: Total cpu/real time for makefb: 9.59/1.49261
Info:Generate Free Relations: Total cpu/real time for freerel: 149.99/18.8472
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11637774
Info:Lattice Sieving: Average J: 3771.82 for 163857 special-q, max bucket fill -bkmult 1.0,1s:1.153560
Info:Lattice Sieving: Total time: 97892.6s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 33.69/75.5134
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 75.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 172.61/138.376
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 132.5s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 90.74/93.8932
Info:Filtering - Merging: Merged matrix has 704022 rows and total weight 120813422 (171.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 178.75/25.9563
Info:Filtering - Merging: Total cpu/real time for replay: 25.39/20.8414
Info:Linear Algebra: Total cpu/real time for bwc: 5849.52/1540.89
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 959.71, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (22016 iterations)
Info:Linear Algebra: Lingen CPU time 79.93, WCT time 21.65
Info:Linear Algebra: Mksol: WCT time 531.45, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11008 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 35.96/8.79516
Info:Square Root: Total cpu/real time for sqrt: 1564.55/206.936
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 213580/27628
Info:root: Cleaning up computation data in /tmp/cado.a7o8wwcx
198377705404388408404522381595731460684850788606735865955991669113021286621205402743 3319426931074392335368920519415711777093
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)

7×10167-5

c151

name 名前Bob Backstrom
date 日付November 13, 2022 06:54:49 UTC 2022 年 11 月 13 日 (日) 15 時 54 分 49 秒 (日本時間)
composite number 合成数
1214637107329531672121171266180291142801625053710886767558586052406143792293558567684911101994267517405514039164152687681308560866117988887486785281677<151>
prime factors 素因数
628935733061571690867639206565857957<36>
1931257906776654487366255462761774695768671540679393105269728613859051221479753062893432451910781937922916658005961<115>
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 1214637107329531672121171266180291142801625053710886767558586052406143792293558567684911101994267517405514039164152687681308560866117988887486785281677 (151 digits)
Using B1=25200000, B2=96190324246, polynomial Dickson(12), sigma=1:689628194
Step 1 took 49681ms
Step 2 took 17933ms
********** Factor found in step 2: 628935733061571690867639206565857957
Found prime factor of 36 digits: 628935733061571690867639206565857957
Prime cofactor 1931257906776654487366255462761774695768671540679393105269728613859051221479753062893432451910781937922916658005961 has 115 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)

7×10169-5

c125

name 名前Eric Jeancolas
date 日付November 17, 2022 07:28:25 UTC 2022 年 11 月 17 日 (木) 16 時 28 分 25 秒 (日本時間)
composite number 合成数
17872963457277721878757258877204068706202603432114308311096480080367262544660969018821944099163909641810625721988353885893239<125>
prime factors 素因数
759958659450031975612988633003839<33>
26672264944176563496675044847218151543499201<44>
881752506605390282898154992748358648944746395401<48>
factorization results 素因数分解の結果
17872963457277721878757258877204068706202603432114308311096480080367262544660969018821944099163909641810625721988353885893239=759958659450031975612988633003839*26672264944176563496675044847218151543499201*881752506605390282898154992748358648944746395401

cado polynomial
n: 17872963457277721878757258877204068706202603432114308311096480080367262544660969018821944099163909641810625721988353885893239
skew: 104778.24
c0: -67325148397886947897970599056
c1: 1765864214198999408180871
c2: 22458261834833730741
c3: -26255023806149
c4: -951730248
c5: -6840
Y0: -1211726281377942492799505
Y1: 2362911136483819
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.737e-07
# f(x) = -6840*x^5-951730248*x^4-26255023806149*x^3+22458261834833730741*x^2+1765864214198999408180871*x-67325148397886947897970599056
# g(x) = 2362911136483819*x-1211726281377942492799505

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: 26672264944176563496675044847218151543499201 881752506605390282898154992748358648944746395401 759958659450031975612988633003839
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): 20218/35.560/44.269/48.200/0.858
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15934/35.030/39.627/45.030/0.939
Info:Polynomial Selection (size optimized): Total time: 2725.89
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2324.77
Info:Polynomial Selection (root optimized): Rootsieve time: 2279.09
Info:Generate Factor Base: Total cpu/real time for makefb: 8.83/1.4337
Info:Generate Free Relations: Total cpu/real time for freerel: 132.43/16.6801
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11747965
Info:Lattice Sieving: Average J: 3812.02 for 200227 special-q, max bucket fill -bkmult 1.0,1s:1.143850
Info:Lattice Sieving: Total time: 90949.3s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 29.91/65.9451
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 65.8s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 173.03/140.84
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 131.3s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 95.66/104.444
Info:Filtering - Merging: Merged matrix has 810336 rows and total weight 139208627 (171.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 163.71/24.7971
Info:Filtering - Merging: Total cpu/real time for replay: 28.16/22.8426
Info:Linear Algebra: Total cpu/real time for bwc: 6731.72/1755.38
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 1087.53, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (25344 iterations)
Info:Linear Algebra: Lingen CPU time 79.05, WCT time 21.41
Info:Linear Algebra: Mksol: WCT time 619.73, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12800 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 42.8/10.2684
Info:Square Root: Total cpu/real time for sqrt: 1398.43/185.862
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 210397/25765.1
Info:root: Cleaning up computation data in /tmp/cado.i0fy0ac3
26672264944176563496675044847218151543499201 881752506605390282898154992748358648944746395401 759958659450031975612988633003839
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)

7×10170-5

c158

name 名前Bob Backstrom
date 日付November 12, 2022 18:37:23 UTC 2022 年 11 月 13 日 (日) 3 時 37 分 23 秒 (日本時間)
composite number 合成数
21437579240967996933029103552524059212366673569048050860299504801069536523457408170089799407594479371476621721818765469668458718259379905339450064654391386247<158>
prime factors 素因数
178818635994283831802008265890013649672973<42>
119884480282319549661768282764700115039791369626865166978798039735772886551193358927373182879169864310027073313191139<117>
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 21437579240967996933029103552524059212366673569048050860299504801069536523457408170089799407594479371476621721818765469668458718259379905339450064654391386247 (158 digits)
Using B1=26480000, B2=144285831706, polynomial Dickson(12), sigma=1:3102886873
Step 1 took 63076ms
********** Factor found in step 1: 178818635994283831802008265890013649672973
Found prime factor of 42 digits: 178818635994283831802008265890013649672973
Prime cofactor 119884480282319549661768282764700115039791369626865166978798039735772886551193358927373182879169864310027073313191139 has 117 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)

7×10171-5

c156

name 名前Bob Backstrom
date 日付November 12, 2022 03:20:32 UTC 2022 年 11 月 12 日 (土) 12 時 20 分 32 秒 (日本時間)
composite number 合成数
262043818623390638409868318736927069239744118050666636693231927974794882888056893509155540819450286660737765592849673930279283600617964906011981729487132007<156>
prime factors 素因数
655815908343109741237540445416796814487<39>
399569170692173212192312569510658654182792439107705631768076694427672362386864185693125820260478121707395294537430961<117>
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 262043818623390638409868318736927069239744118050666636693231927974794882888056893509155540819450286660737765592849673930279283600617964906011981729487132007 (156 digits)
Using B1=28100000, B2=144287213086, polynomial Dickson(12), sigma=1:2956761432
Step 1 took 67177ms
Step 2 took 24929ms
********** Factor found in step 2: 655815908343109741237540445416796814487
Found prime factor of 39 digits: 655815908343109741237540445416796814487
Prime cofactor 399569170692173212192312569510658654182792439107705631768076694427672362386864185693125820260478121707395294537430961 has 117 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)

7×10173-5

c121

name 名前Eric Jeancolas
date 日付November 11, 2022 10:37:50 UTC 2022 年 11 月 11 日 (金) 19 時 37 分 50 秒 (日本時間)
composite number 合成数
1181978851976548540913034712920366756243863251499712098490597874163073908972575431458066900472068706675808042138492715327<121>
prime factors 素因数
546865644938765448223220198759946186044152708414174216999<57>
2161369731150142093171555378562869933818270393602984981280325673<64>
factorization results 素因数分解の結果
1181978851976548540913034712920366756243863251499712098490597874163073908972575431458066900472068706675808042138492715327=546865644938765448223220198759946186044152708414174216999*2161369731150142093171555378562869933818270393602984981280325673

cado polynomial
n: 1181978851976548540913034712920366756243863251499712098490597874163073908972575431458066900472068706675808042138492715327
skew: 14678.401
c0: -160937889759856098536289600
c1: 10567540142825188566410
c2: -271625541047333649
c3: -178245364461773
c4: 1683159660
c5: 337320
Y0: -115761602371320187635869
Y1: 638500703774982859
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.477e-06
# f(x) = 337320*x^5+1683159660*x^4-178245364461773*x^3-271625541047333649*x^2+10567540142825188566410*x-160937889759856098536289600
# g(x) = 638500703774982859*x-115761602371320187635869

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: 2161369731150142093171555378562869933818270393602984981280325673 546865644938765448223220198759946186044152708414174216999
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): 20212/34.880/42.924/48.210/1.040
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16198/34.220/37.992/43.420/0.842
Info:Polynomial Selection (size optimized): Total time: 3054.48
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1803.4
Info:Polynomial Selection (root optimized): Rootsieve time: 1756.6
Info:Generate Factor Base: Total cpu/real time for makefb: 8.06/1.20166
Info:Generate Free Relations: Total cpu/real time for freerel: 133.38/16.7876
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13765048
Info:Lattice Sieving: Average J: 1903.46 for 291696 special-q, max bucket fill -bkmult 1.0,1s:1.245070
Info:Lattice Sieving: Total time: 57991.9s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 33.97/71.4975
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 71.2s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 192.21/128.934
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 115.6s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 112.72/108.076
Info:Filtering - Merging: Merged matrix has 764323 rows and total weight 76544457 (100.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 53.51/9.8293
Info:Filtering - Merging: Total cpu/real time for replay: 16.64/13.2739
Info:Linear Algebra: Total cpu/real time for bwc: 3735.21/984.08
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 595.48, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (24064 iterations)
Info:Linear Algebra: Lingen CPU time 78.04, WCT time 21.17
Info:Linear Algebra: Mksol: WCT time 351.7, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12032 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 33.17/7.61373
Info:Square Root: Total cpu/real time for sqrt: 1139.37/151.067
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 143475/16611.9
Info:root: Cleaning up computation data in /tmp/cado.zj8zsnjs
2161369731150142093171555378562869933818270393602984981280325673 546865644938765448223220198759946186044152708414174216999
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)

7×10175-5

c133

name 名前Eric Jeancolas
date 日付December 11, 2022 08:49:03 UTC 2022 年 12 月 11 日 (日) 17 時 49 分 3 秒 (日本時間)
composite number 合成数
6952461248225069297678121077750931549065315988318644728566826746581765856601049140385447223879215579263981194413949014095516231201697<133>
prime factors 素因数
6046927847700910086638207631966573494032094029818608056601797<61>
1149750984852324670920273615423287029402686680111231770386841130640486701<73>
factorization results 素因数分解の結果
6952461248225069297678121077750931549065315988318644728566826746581765856601049140385447223879215579263981194413949014095516231201697=6046927847700910086638207631966573494032094029818608056601797*1149750984852324670920273615423287029402686680111231770386841130640486701

cado polynomial
n: 6952461248225069297678121077750931549065315988318644728566826746581765856601049140385447223879215579263981194413949014095516231201697
skew: 0.93
type: snfs
c0: -5
c5: 7
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 7*x^5-5
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 6000000
tasks.lim1 = 6000000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
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: 6046927847700910086638207631966573494032094029818608056601797 1149750984852324670920273615423287029402686680111231770386841130640486701
Info:Square Root: Total cpu/real time for sqrt: 151.9/30.6305
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 2.74/0.705056
Info:Generate Free Relations: Total cpu/real time for freerel: 98.4/12.5977
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22434387
Info:Lattice Sieving: Average J: 1893.75 for 693261 special-q, max bucket fill -bkmult 1.0,1s:1.146590
Info:Lattice Sieving: Total time: 123888s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 54.61/41.0048
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 41.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 247.36/74.4319
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 69.8s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 191.76/71.3713
Info:Filtering - Merging: Merged matrix has 692484 rows and total weight 118461610 (171.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 136.82/20.0693
Info:Filtering - Merging: Total cpu/real time for replay: 21.09/17.4439
Info:Linear Algebra: Total cpu/real time for bwc: 4760.05/1244.73
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 770.21, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (21760 iterations)
Info:Linear Algebra: Lingen CPU time 66.5, WCT time 18.04
Info:Linear Algebra: Mksol: WCT time 434.51, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11008 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 27.22/6.88352
Info:Square Root: Total cpu/real time for sqrt: 151.9/30.6305
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 245599/63732.3
Info:root: Cleaning up computation data in /tmp/cado.9e111rr7
6046927847700910086638207631966573494032094029818608056601797 1149750984852324670920273615423287029402686680111231770386841130640486701
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)

7×10177-5

c178

name 名前ebina
date 日付November 11, 2022 12:04:00 UTC 2022 年 11 月 11 日 (金) 21 時 4 分 0 秒 (日本時間)
composite number 合成数
1399999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<178>
prime factors 素因数
277045706209733019085043644927983547123811139439679554171408712155643697892513<78>
5053317805041715392450063978549638465012942616630802229222466925482150080107075858330199184856459423<100>
factorization results 素因数分解の結果
Number: 69995_177
N = 1399999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 (178 digits)
SNFS difficulty: 178 digits.
Divisors found:
r1=277045706209733019085043644927983547123811139439679554171408712155643697892513 (pp78)
r2=5053317805041715392450063978549638465012942616630802229222466925482150080107075858330199184856459423 (pp100)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 6.61 hours.
Factorization parameters were as follows:
n: 1399999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
m: 100000000000000000000000000000000000
deg: 5
c5: 140
c0: -1
skew: 0.37
# Murphy_E = 1.369e-10
type: snfs
lss: 1
rlim: 6300000
alim: 6300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6300000/6300000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 18095838
Relations: 2235426 relations
Pruned matrix : 1297408 x 1297639
Total sieving time: 6.06 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.36 hours.
time per square root: 0.05 hours.
Prototype def-par.txt line would be: snfs,178,5,0,0,0,0,0,0,0,0,6300000,6300000,28,28,53,53,2.5,2.5,100000
total time: 6.61 hours.
Intel64 Family 6 Model 158 Stepping 12, GenuineIntel
processors: 16, speed: 3.60GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)

7×10178-5

c147

name 名前Eric Jeancolas
date 日付December 14, 2022 06:07:14 UTC 2022 年 12 月 14 日 (水) 15 時 7 分 14 秒 (日本時間)
composite number 合成数
116612870805387902122334973200880525936268572927700498983120854952881652776607773283974347511140882095586707288353966362569432070163674990575159491<147>
prime factors 素因数
10123871299355772095391786841692847721612045247999838816524213281<65>
11518604628331111700921681136962282680934554168073825902508915004954040011796621411<83>
factorization results 素因数分解の結果
116612870805387902122334973200880525936268572927700498983120854952881652776607773283974347511140882095586707288353966362569432070163674990575159491=10123871299355772095391786841692847721612045247999838816524213281*11518604628331111700921681136962282680934554168073825902508915004954040011796621411

cado polynomial
n: 116612870805387902122334973200880525936268572927700498983120854952881652776607773283974347511140882095586707288353966362569432070163674990575159491
skew: 0.23
type: snfs
c0: -1
c5: 1400
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 1400*x^5-1
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 6500000
tasks.lim1 = 6500000
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: 10123871299355772095391786841692847721612045247999838816524213281 11518604628331111700921681136962282680934554168073825902508915004954040011796621411
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 217.26/70.4732
Info:HTTP server: Got notification to stop serving Workunits
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 86.08/87.0289
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 86.6s
Info:Quadratic Characters: Total cpu/real time for characters: 30/14.9765
Info:Filtering - Singleton removal: Total cpu/real time for purge: 138.28/117.608
Info:Filtering - Merging: Merged matrix has 883611 rows and total weight 150652498 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 230.6/65.3088
Info:Filtering - Merging: Total cpu/real time for replay: 30.12/29.6353
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22424861
Info:Lattice Sieving: Average J: 1897.42 for 725074 special-q, max bucket fill -bkmult 1.0,1s:1.184810
Info:Lattice Sieving: Total time: 119227s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 206.52/185.266
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 162.9s
Info:Linear Algebra: Total cpu/real time for bwc: 13094.5/3654.02
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 8308.97, WCT time 2243.74, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (27648 iterations)
Info:Linear Algebra: Lingen CPU time 115.08, WCT time 117.63
Info:Linear Algebra: Mksol: CPU time 4505.35,  WCT time 1229.47, iteration CPU time 0.08, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (13824 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 2.73/1.6963
Info:Generate Free Relations: Total cpu/real time for freerel: 127.34/36.4836
Info:Square Root: Total cpu/real time for sqrt: 217.26/70.4732
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 232804/64139.2
Info:root: Cleaning up computation data in /tmp/cado.f0tz1nlj
10123871299355772095391786841692847721612045247999838816524213281 11518604628331111700921681136962282680934554168073825902508915004954040011796621411
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)

7×10180-5

c121

name 名前Ignacio Santos
date 日付November 9, 2022 17:02:46 UTC 2022 年 11 月 10 日 (木) 2 時 2 分 46 秒 (日本時間)
composite number 合成数
1383426317316608352771939276420669981014996013250288745279392382757598722683867955302401643093000947502717465568851731577<121>
prime factors 素因数
117473962821955566389750023545270081529491785253594361143043<60>
11776450577506607364418313069219011545561227296840461585680339<62>
factorization results 素因数分解の結果
Number: 1
N=1383426317316608352771939276420669981014996013250288745279392382757598722683867955302401643093000947502717465568851731577
  ( 121 digits)
Divisors found:
 r1=117473962821955566389750023545270081529491785253594361143043 (pp60)
 r2=11776450577506607364418313069219011545561227296840461585680339 (pp62)
Version: Msieve v. 1.52 (SVN 927)
Total time: 33.95 hours.
Scaled time: 262.17 units (timescale=7.722).
Factorization parameters were as follows:
name: 1
n: 1383426317316608352771939276420669981014996013250288745279392382757598722683867955302401643093000947502717465568851731577
skew: 318119.31
# norm 1.18e+017
c5: 2160
c4: 6482050732
c3: -762916529567368
c2: -551577903583742738249
c1: 26537274626079366037927770
c0: 6200866867437204753421560601215
# alpha -6.56
Y1: 12408037293047
Y0: -229766326754539831238078
# Murphy_E 2.42e-010
# M 395131855373256949263255268296793352867765993809566433076032410647290023926577934052193387935748101041160292806825419068
type: gnfs
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [2200000, 4500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 742974 x 743202
Total sieving time: 33.76 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,120,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4400000,4400000,27,27,53,53,2.5,2.5,100000
total time: 33.95 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosNovember 8, 2022 13:20:09 UTC 2022 年 11 月 8 日 (火) 22 時 20 分 9 秒 (日本時間)

7×10182-5

c160

name 名前Bob Backstrom
date 日付November 18, 2022 07:29:43 UTC 2022 年 11 月 18 日 (金) 16 時 29 分 43 秒 (日本時間)
composite number 合成数
2032015681048288668727785740667995967376797368655960341542455206366151136517321856255062028863586350611796176203236613154812383370257662238621004403777777137883<160>
prime factors 素因数
3815452610346288006929157878417858533453243183<46>
532575263951152637179359675020791319012938614577796525997858663423186804452019124605204742799565295160374900410901<114>
factorization results 素因数分解の結果
Number: n
N=2032015681048288668727785740667995967376797368655960341542455206366151136517321856255062028863586350611796176203236613154812383370257662238621004403777777137883  ( 160 digits)
SNFS difficulty: 182 digits.
Divisors found:

Fri Nov 18 17:51:36 2022  p46 factor: 3815452610346288006929157878417858533453243183
Fri Nov 18 17:51:36 2022  p114 factor: 532575263951152637179359675020791319012938614577796525997858663423186804452019124605204742799565295160374900410901
Fri Nov 18 17:51:36 2022  elapsed time 00:21:37 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 7x10^182-5 = 69(181)5
#
n: 2032015681048288668727785740667995967376797368655960341542455206366151136517321856255062028863586350611796176203236613154812383370257662238621004403777777137883
m: 1000000000000000000000000000000000000
deg: 5
c5: 140
c0: -1
skew: 0.37
# Murphy_E = 8.597e-11
type: snfs
lss: 1
rlim: 7600000
alim: 7600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 7600000/7600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 9400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1226763 hash collisions in 12577724 relations (12131988 unique)
Msieve: matrix is 998260 x 998485 (346.1 MB)

Sieving start time : 2022/11/18 15:15:23
Sieving end time  : 2022/11/18 17:29:40

Total sieving time: 2hrs 14min 17secs.

Total relation processing time: 0hrs 15min 51sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 19sec.

Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,7600000,7600000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)

7×10184-5

c127

name 名前Ignacio Santos
date 日付November 10, 2022 12:28:22 UTC 2022 年 11 月 10 日 (木) 21 時 28 分 22 秒 (日本時間)
composite number 合成数
4652736093709571797110398946915570803643171243080572887123807270501725436990418954391765868249206481669895531427946912266916929<127>
prime factors 素因数
1045877125455355448950853279868813413230292581898417<52>
4448645046791569358212738600119609746616541965501890673484008338846254651537<76>
factorization results 素因数分解の結果
Number: 1
N=4652736093709571797110398946915570803643171243080572887123807270501725436990418954391765868249206481669895531427946912266916929
  ( 127 digits)
Divisors found:
 r1=1045877125455355448950853279868813413230292581898417 (pp52)
 r2=4448645046791569358212738600119609746616541965501890673484008338846254651537 (pp76)
Version: Msieve v. 1.52 (SVN 927)
Total time: 59.33 hours.
Scaled time: 463.14 units (timescale=7.806).
Factorization parameters were as follows:
# Murphy_E = 2.188e-07, selected by Eric Jeancolas
# From cado-nfs-3.0.0
n: 4652736093709571797110398946915570803643171243080572887123807270501725436990418954391765868249206481669895531427946912266916929
Y0: -4400908912154271582586008
Y1: 7535286473504279
c0: 18309705042739557068131045114310
c1: 439110952249643805757602933
c2: -714231220972463174584
c3: -4227279627542325
c4: -1908000958
c5: 5640
skew: 395220.92
type: gnfs
# selected mechanically
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved algebraic special-q in [4000000, 7600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1191446 x 1191674
Total sieving time: 58.99 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.25 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,126,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,8000000,8000000,28,28,53,53,2.5,2.5,100000
total time: 59.33 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosNovember 8, 2022 13:39:55 UTC 2022 年 11 月 8 日 (火) 22 時 39 分 55 秒 (日本時間)

7×10185-5

c152

name 名前Eric Jeancolas
date 日付December 23, 2022 02:57:16 UTC 2022 年 12 月 23 日 (金) 11 時 57 分 16 秒 (日本時間)
composite number 合成数
24553321449020407014845839608052828924496816775437873033486764268752020484148121619215036523712453604263615727713529907083411070133313463727179691065831<152>
prime factors 素因数
11595833731900599579939677494069248925937836192735278493378151<62>
2117426139137649379200570003912346804830837568879395595768981813678616274951785854246295681<91>
factorization results 素因数分解の結果
24553321449020407014845839608052828924496816775437873033486764268752020484148121619215036523712453604263615727713529907083411070133313463727179691065831=11595833731900599579939677494069248925937836192735278493378151*2117426139137649379200570003912346804830837568879395595768981813678616274951785854246295681

cado polynomial
n: 24553321449020407014845839608052828924496816775437873033486764268752020484148121619215036523712453604263615727713529907083411070133313463727179691065831
skew: 0.93
type: snfs
c0: -5
c5: 7
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 7*x^5+5
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 8800000
tasks.lim1 = 8800000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 2117426139137649379200570003912346804830837568879395595768981813678616274951785854246295681 11595833731900599579939677494069248925937836192735278493378151
Info:Square Root: Total cpu/real time for sqrt: 373.61/123.137
Info:Generate Free Relations: Total cpu/real time for freerel: 118.66/31.9365
Info:Square Root: Total cpu/real time for sqrt: 373.61/123.137
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 93/90.6142
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 90.39999999999999s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 130.2/129.549
Info:Filtering - Merging: Merged matrix has 1523760 rows and total weight 259175255 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 387.37/108.708
Info:Filtering - Merging: Total cpu/real time for replay: 57.75/53.8184
Info:Generate Factor Base: Total cpu/real time for makefb: 3.75/1.97851
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22647045
Info:Lattice Sieving: Average J: 1894.89 for 1065660 special-q, max bucket fill -bkmult 1.0,1s:1.182530
Info:Lattice Sieving: Total time: 197286s
Info:Linear Algebra: Total cpu/real time for bwc: 37647.4/10046
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 24068.46, WCT time 6369.66, iteration CPU time 0.12, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (47872 iterations)
Info:Linear Algebra: Lingen CPU time 301.74, WCT time 78.29
Info:Linear Algebra: Mksol: CPU time 13006.83,  WCT time 3493.49, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (23808 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 55.59/25.7432
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 273.48/283.611
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 257.1s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 404216/109567
Info:root: Cleaning up computation data in /tmp/cado.boh7c_7w
2117426139137649379200570003912346804830837568879395595768981813678616274951785854246295681 11595833731900599579939677494069248925937836192735278493378151
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)

7×10186-5

c173

name 名前Bob Backstrom
date 日付November 16, 2022 10:58:32 UTC 2022 年 11 月 16 日 (水) 19 時 58 分 32 秒 (日本時間)
composite number 合成数
13158401079129775233346876386203104140525160655721181934074603977931271113135064111361755493623055200989498942785121111478637687449396264413625011560628779505625061482634053<173>
prime factors 素因数
273964338083837287713854585842714492580261<42>
1503832024096014102417199401147923014406677732584134579<55>
31938150026234855568970898937337795396742442542741946958624105073396592167387<77>
factorization results 素因数分解の結果
Number: n
N=13158401079129775233346876386203104140525160655721181934074603977931271113135064111361755493623055200989498942785121111478637687449396264413625011560628779505625061482634053  ( 173 digits)
SNFS difficulty: 186 digits.
Divisors found:

Wed Nov 16 18:30:12 2022  found factor: 31938150026234855568970898937337795396742442542741946958624105073396592167387
Wed Nov 16 18:31:38 2022  p42 factor: 273964338083837287713854585842714492580261
Wed Nov 16 18:31:38 2022  p55 factor: 1503832024096014102417199401147923014406677732584134579
Wed Nov 16 18:31:38 2022  p77 factor: 31938150026234855568970898937337795396742442542741946958624105073396592167387
Wed Nov 16 18:31:38 2022  elapsed time 00:33:00 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.333).
Factorization parameters were as follows:
#
# N = 7x10^186-5 = 69(185)5
#
n: 13158401079129775233346876386203104140525160655721181934074603977931271113135064111361755493623055200989498942785121111478637687449396264413625011560628779505625061482634053
m: 10000000000000000000000000000000000000
deg: 5
c5: 14
c0: -1
skew: 0.59
# Murphy_E = 7.709e-11
type: snfs
lss: 1
rlim: 8900000
alim: 8900000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8900000/8900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 10050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1094660 hash collisions in 12438152 relations (12142127 unique)
Msieve: matrix is 1215315 x 1215540 (425.6 MB)

Sieving start time : 2022/11/16 15:49:17
Sieving end time  : 2022/11/16 17:58:20

Total sieving time: 2hrs 9min 3secs.

Total relation processing time: 0hrs 25min 2sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 20sec.

Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8900000,8900000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)

7×10188-5

c174

name 名前Bob Backstrom
date 日付November 20, 2022 22:42:32 UTC 2022 年 11 月 21 日 (月) 7 時 42 分 32 秒 (日本時間)
composite number 合成数
150942831428733345976098398907338632007341083058032709866758849329093105349612826775204732160399490904829075662639272928561831211509308996025863058593797716628803208182684639<174>
prime factors 素因数
25266863061580277316553668421895373391487171710329071<53>
5973944255005308814126980337567839861099485719118344785767828645869129342517453614664187561527085490642885477836905813009<121>
factorization results 素因数分解の結果
Number: n
N=150942831428733345976098398907338632007341083058032709866758849329093105349612826775204732160399490904829075662639272928561831211509308996025863058593797716628803208182684639  ( 174 digits)
SNFS difficulty: 188 digits.
Divisors found:

Mon Nov 21 07:22:10 2022  p53 factor: 25266863061580277316553668421895373391487171710329071
Mon Nov 21 07:22:10 2022  p121 factor: 5973944255005308814126980337567839861099485719118344785767828645869129342517453614664187561527085490642885477836905813009
Mon Nov 21 07:22:10 2022  elapsed time 00:39:10 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.320).
Factorization parameters were as follows:
#
# N = 7x10^188-5 = 69(187)5
#
n: 150942831428733345976098398907338632007341083058032709866758849329093105349612826775204732160399490904829075662639272928561831211509308996025863058593797716628803208182684639
m: 10000000000000000000000000000000000000
deg: 5
c5: 1400
c0: -1
skew: 0.23
# Murphy_E = 5.311e-11
type: snfs
lss: 1
rlim: 9600000
alim: 9600000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 9600000/9600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 10400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1220384 hash collisions in 12561682 relations (12122430 unique)
Msieve: matrix is 1308327 x 1308552 (458.5 MB)

Sieving start time : 2022/11/21 04:00:55
Sieving end time  : 2022/11/21 06:42:41

Total sieving time: 2hrs 41min 46secs.

Total relation processing time: 0hrs 29min 33sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 51sec.

Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,9600000,9600000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)

7×10189-5

c144

name 名前Bob Backstrom
date 日付April 11, 2023 11:35:56 UTC 2023 年 4 月 11 日 (火) 20 時 35 分 56 秒 (日本時間)
composite number 合成数
521430236981173530478385439381178683540195229919436181963271745000679692253447938874600492396388787906196999214559563904041995046518760984639149<144>
prime factors 素因数
11446184684755285913870322648029440289962896779935139<53>
45554938290978787013251495431140824470130606719405214548796205979415009774884530511781748591<92>
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 521430236981173530478385439381178683540195229919436181963271745000679692253447938874600492396388787906196999214559563904041995046518760984639149 (144 digits)
Using B1=30650000, B2=144289975846, polynomial Dickson(12), sigma=1:3695695120
Step 1 took 61758ms
Step 2 took 21794ms
********** Factor found in step 2: 11446184684755285913870322648029440289962896779935139
Found prime factor of 53 digits: 11446184684755285913870322648029440289962896779935139
Prime cofactor 45554938290978787013251495431140824470130606719405214548796205979415009774884530511781748591 has 92 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosNovember 21, 2022 14:31:48 UTC 2022 年 11 月 21 日 (月) 23 時 31 分 48 秒 (日本時間)

7×10190-5

c187

name 名前Bob Backstrom
date 日付November 18, 2022 13:25:45 UTC 2022 年 11 月 18 日 (金) 22 時 25 分 45 秒 (日本時間)
composite number 合成数
7696536558548653106102253985706432105552501374381528312259483232545354590434304562946673996701484332050577240241891148982957669048927982407916437603078614623419461242440901594282572842221<187>
prime factors 素因数
81118242305763596460465243106779903407202932024004812893615826625581377206970973<80>
94880465105958051475805438562287042593114830040295877173764203498273172460156040362718146103976733982260177<107>
factorization results 素因数分解の結果
Number: n
N=7696536558548653106102253985706432105552501374381528312259483232545354590434304562946673996701484332050577240241891148982957669048927982407916437603078614623419461242440901594282572842221  ( 187 digits)
SNFS difficulty: 190 digits.
Divisors found:

Sat Nov 19 00:19:44 2022  p80 factor: 81118242305763596460465243106779903407202932024004812893615826625581377206970973
Sat Nov 19 00:19:44 2022  p107 factor: 94880465105958051475805438562287042593114830040295877173764203498273172460156040362718146103976733982260177
Sat Nov 19 00:19:44 2022  elapsed time 00:39:54 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.328).
Factorization parameters were as follows:
#
# N = 7x10^190-5 = 69(189)5
#
n: 7696536558548653106102253985706432105552501374381528312259483232545354590434304562946673996701484332050577240241891148982957669048927982407916437603078614623419461242440901594282572842221
m: 100000000000000000000000000000000000000
deg: 5
c5: 7
c0: -5
skew: 0.93
# Murphy_E = 4.344e-11
type: snfs
lss: 1
rlim: 10600000
alim: 10600000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 10600000/10600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 18100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1424688 hash collisions in 13176034 relations (12539919 unique)
Msieve: matrix is 1366758 x 1366983 (472.4 MB)

Sieving start time : 2022/11/18 20:13:08
Sieving end time  : 2022/11/18 23:39:32

Total sieving time: 3hrs 26min 24secs.

Total relation processing time: 0hrs 32min 53sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 9sec.

Prototype def-par.txt line would be:
snfs,190,5,0,0,0,0,0,0,0,0,10600000,10600000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovNovember 16, 2022 08:17:45 UTC 2022 年 11 月 16 日 (水) 17 時 17 分 45 秒 (日本時間)
2350Ignacio SantosNovember 17, 2022 16:56:34 UTC 2022 年 11 月 18 日 (金) 1 時 56 分 34 秒 (日本時間)

7×10194-5

c193

name 名前Bob Backstrom
date 日付November 22, 2022 03:53:46 UTC 2022 年 11 月 22 日 (火) 12 時 53 分 46 秒 (日本時間)
composite number 合成数
4827586206896551724137931034482758620689655172413793103448275862068965517241379310344827586206896551724137931034482758620689655172413793103448275862068965517241379310344827586206896551724137931<193>
prime factors 素因数
577057751766810615280360943677411519543307678012594189917<57>
8365863195001983467382857951789639514289461494009356271021085404505212463508117002287268456362054202750187027554963197650928403829289543<136>
factorization results 素因数分解の結果
Number: n
N=4827586206896551724137931034482758620689655172413793103448275862068965517241379310344827586206896551724137931034482758620689655172413793103448275862068965517241379310344827586206896551724137931  ( 193 digits)
SNFS difficulty: 194 digits.
Divisors found:

Tue Nov 22 14:23:54 2022  p57 factor: 577057751766810615280360943677411519543307678012594189917
Tue Nov 22 14:23:54 2022  p136 factor: 8365863195001983467382857951789639514289461494009356271021085404505212463508117002287268456362054202750187027554963197650928403829289543
Tue Nov 22 14:23:54 2022  elapsed time 01:09:05 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.345).
Factorization parameters were as follows:
#
# N = 7x10^194-5 = 69(193)5
#
n: 4827586206896551724137931034482758620689655172413793103448275862068965517241379310344827586206896551724137931034482758620689655172413793103448275862068965517241379310344827586206896551724137931
m: 100000000000000000000000000000000000000
deg: 5
c5: 14000
c0: -1
skew: 0.15
# Murphy_E = 2.317e-11
type: snfs
lss: 1
rlim: 12000000
alim: 12000000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 12000000/12000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved  special-q in [100000, 26000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1857688 hash collisions in 14972418 relations (13658726 unique)
Msieve: matrix is 1632464 x 1632689 (566.7 MB)

Sieving start time : 2022/11/22 06:34:46
Sieving end time  : 2022/11/22 13:14:25

Total sieving time: 6hrs 39min 39secs.

Total relation processing time: 0hrs 52min 14sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 12min 19sec.

Prototype def-par.txt line would be:
snfs,194,5,0,0,0,0,0,0,0,0,12000000,12000000,27,27,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovNovember 15, 2022 16:02:37 UTC 2022 年 11 月 16 日 (水) 1 時 2 分 37 秒 (日本時間)
2350Ignacio SantosNovember 21, 2022 14:49:08 UTC 2022 年 11 月 21 日 (月) 23 時 49 分 8 秒 (日本時間)

7×10197-5

c178

name 名前Bob Backstrom
date 日付December 19, 2022 21:23:42 UTC 2022 年 12 月 20 日 (火) 6 時 23 分 42 秒 (日本時間)
composite number 合成数
1371327165630461299361356226763967948838825911732559439281519036454148726072182223767966799686033302020149240306747549179108899935440525863214323419537413119061596443970135282417<178>
prime factors 素因数
404665848272925604249652159129356511456743755680470185855497583665863843639<75>
3388788976097567839194988050002632877988827878154402798141575057281656319290334103193119428371110388503<103>
factorization results 素因数分解の結果
Number: n
N=1371327165630461299361356226763967948838825911732559439281519036454148726072182223767966799686033302020149240306747549179108899935440525863214323419537413119061596443970135282417  ( 178 digits)
SNFS difficulty: 197 digits.
Divisors found:

Tue Dec 20 08:04:16 2022  p75 factor: 404665848272925604249652159129356511456743755680470185855497583665863843639
Tue Dec 20 08:04:16 2022  p103 factor: 3388788976097567839194988050002632877988827878154402798141575057281656319290334103193119428371110388503
Tue Dec 20 08:04:16 2022  elapsed time 01:24:49 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.327).
Factorization parameters were as follows:
#
# N = 7x10^197-5 = 69(196)5
#
n: 1371327165630461299361356226763967948838825911732559439281519036454148726072182223767966799686033302020149240306747549179108899935440525863214323419537413119061596443970135282417
m: 1000000000000000000000000000000000000000
deg: 5
c5: 140
c0: -1
skew: 0.37
# Murphy_E = 2.076e-11
type: snfs
lss: 1
rlim: 13500000
alim: 13500000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 13500000/13500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 19643747)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1793110 hash collisions in 13278642 relations (12179466 unique)
Msieve: matrix is 1988957 x 1989182 (691.6 MB)

Sieving start time : 2022/12/20 00:03:38
Sieving end time  : 2022/12/20 06:39:07

Total sieving time: 6hrs 35min 29secs.

Total relation processing time: 1hrs 15min 1sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 13sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13500000,13500000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovNovember 15, 2022 16:02:47 UTC 2022 年 11 月 16 日 (水) 1 時 2 分 47 秒 (日本時間)
2350Ignacio SantosDecember 17, 2022 17:28:15 UTC 2022 年 12 月 18 日 (日) 2 時 28 分 15 秒 (日本時間)

7×10200-5

c175

name 名前Dmitry Domanov
date 日付November 28, 2022 05:07:42 UTC 2022 年 11 月 28 日 (月) 14 時 7 分 42 秒 (日本時間)
composite number 合成数
2362311121061302903805896898013195188236584001987265285864367637789050176691400518437988479175900075867555855093730390793611960211832392266902079108854987301587753943270886819<175>
prime factors 素因数
10195173427266741689575667698271310665502593<44>
231708772578930305853117773220285267220673768800222849586942073749990878955154569166472491566299508564837600730097658094302294421283<132>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2587985813
Step 1 took 35691ms
Step 2 took 15662ms
********** Factor found in step 2: 10195173427266741689575667698271310665502593
Found prime factor of 44 digits: 10195173427266741689575667698271310665502593
Prime cofactor 231708772578930305853117773220285267220673768800222849586942073749990878955154569166472491566299508564837600730097658094302294421283 has 132 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovNovember 27, 2022 18:38:05 UTC 2022 年 11 月 28 日 (月) 3 時 38 分 5 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovNovember 27, 2022 18:38:05 UTC 2022 年 11 月 28 日 (月) 3 時 38 分 5 秒 (日本時間)

7×10202-5

c203

name 名前Bob Backstrom
date 日付June 18, 2023 10:29:11 UTC 2023 年 6 月 18 日 (日) 19 時 29 分 11 秒 (日本時間)
composite number 合成数
13999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<203>
prime factors 素因数
665838447316604443678655096815185724094885263515982224045749577100504037152457<78>
21026121360851721053932553135267723125285368642074072553457820961653627223208365306233879867405319947900120750680967767350407<125>
factorization results 素因数分解の結果
Number: n
N=1399999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
  ( 203 digits)
SNFS difficulty: 202 digits.
Divisors found:

Fri Jun 16 08:30:45 2023  prp78 factor: 665838447316604443678655096815185724094885263515982224045749577100504037152457
Fri Jun 16 08:30:45 2023  prp125 factor: 21026121360851721053932553135267723125285368642074072553457820961653627223208365306233879867405319947900120750680967767350407
Fri Jun 16 08:30:45 2023  elapsed time 03:19:09 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.093).
Factorization parameters were as follows:
#
# N = 7x10^202-5 = 69(201)5
#
n: 13999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
m: 10000000000000000000000000000000000000000
deg: 5
c5: 140
c0: -1
skew: 0.37
# Murphy_E = 1.282e-11
type: snfs
lss: 1
rlim: 16400000
alim: 16400000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16400000/16400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 41000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2190938 hash collisions in 14915756 relations (13462178 unique)
Msieve: matrix is 2496377 x 2496602 (704.7 MB)

Sieving start time: 2023/06/15 10:50:45
Sieving end time  : 2023/06/16 05:11:21

Total sieving time: 18hrs 20min 36secs.

Total relation processing time: 3hrs 11min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 12sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16400000,16400000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovNovember 28, 2022 06:32:25 UTC 2022 年 11 月 28 日 (月) 15 時 32 分 25 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovDecember 2, 2022 19:55:44 UTC 2022 年 12 月 3 日 (土) 4 時 55 分 44 秒 (日本時間)

7×10204-5

c184

name 名前Dmitry Domanov
date 日付November 29, 2022 13:45:44 UTC 2022 年 11 月 29 日 (火) 22 時 45 分 44 秒 (日本時間)
composite number 合成数
3234346198834428054436621865833069386710631039948456108838405941263325147683510720180209055561101366233388308365316255913169142763085704024199701038189170651879259578204912621320346759<184>
prime factors 素因数
850649082807743634277183414918509090241013<42>
composite cofactor 合成数の残り
3802209705744697868767487205268210969615992733578707476377115219111769880880068959294181653287119084880395908215285567943637823234588107506443<142>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2002214813
Step 1 took 22216ms
Step 2 took 9897ms
********** Factor found in step 2: 850649082807743634277183414918509090241013
Found prime factor of 42 digits: 850649082807743634277183414918509090241013
Composite cofactor 3802209705744697868767487205268210969615992733578707476377115219111769880880068959294181653287119084880395908215285567943637823234588107506443 has 142 digits

c142

name 名前Eric Jeancolas
date 日付November 25, 2023 08:02:00 UTC 2023 年 11 月 25 日 (土) 17 時 2 分 0 秒 (日本時間)
composite number 合成数
3802209705744697868767487205268210969615992733578707476377115219111769880880068959294181653287119084880395908215285567943637823234588107506443<142>
prime factors 素因数
3461076404388136036405223438128821658002280952600700145055381635379<67>
1098562776864461864914380862164235807816491383417896082527780969501255395017<76>
factorization results 素因数分解の結果
3802209705744697868767487205268210969615992733578707476377115219111769880880068959294181653287119084880395908215285567943637823234588107506443=3461076404388136036405223438128821658002280952600700145055381635379*1098562776864461864914380862164235807816491383417896082527780969501255395017

cado polynomial
n: 3802209705744697868767487205268210969615992733578707476377115219111769880880068959294181653287119084880395908215285567943637823234588107506443
skew: 333900.514
c0: 411328693588116748985483954696244
c1: 19114443595683323515763255385
c2: -56261428022808858033568
c3: -104904626753769631
c4: 433320076530
c5: 433440
Y0: -2207205728389401581041425670
Y1: 10428810282852292577
# MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=2.023e+14) = 2.139e-07
# f(x) = 433440*x^5+433320076530*x^4-104904626753769631*x^3-56261428022808858033568*x^2+19114443595683323515763255385*x+411328693588116748985483954696244
# g(x) = 10428810282852292577*x-2207205728389401581041425670

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: 3461076404388136036405223438128821658002280952600700145055381635379 1098562776864461864914380862164235807816491383417896082527780969501255395017
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 746.77/164.543
Info:HTTP server: Got notification to stop serving Workunits
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 14128
Info:Polynomial Selection (root optimized): Rootsieve time: 14123.8
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 34427158
Info:Lattice Sieving: Average J: 3820.44 for 1184380 special-q, max bucket fill -bkmult 1.0,1s:1.127620
Info:Lattice Sieving: Total time: 674582s
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): 48028/41.530/50.976/55.070/0.929
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 39310/40.890/45.582/51.680/1.108
Info:Polynomial Selection (size optimized): Total time: 35553
Info:Generate Factor Base: Total cpu/real time for makefb: 14.65/2.05212
Info:Square Root: Total cpu/real time for sqrt: 746.77/164.543
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 298.17/243.978
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 243.0s
Info:Quadratic Characters: Total cpu/real time for characters: 105.17/27.7791
Info:Generate Free Relations: Total cpu/real time for freerel: 717.74/91.0154
Info:Filtering - Singleton removal: Total cpu/real time for purge: 681.35/546.904
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1112.27/936.167
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 648.2s
Info:Filtering - Merging: Merged matrix has 2179940 rows and total weight 371109564 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 1201.96/169.608
Info:Filtering - Merging: Total cpu/real time for replay: 84.7/73.8901
Info:Linear Algebra: Total cpu/real time for bwc: 71839.2/18754.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 45414.09, WCT time 11786.06, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (68608 iterations)
Info:Linear Algebra: Lingen CPU time 380.81, WCT time 97.68
Info:Linear Algebra: Mksol: CPU time 25278.85,  WCT time 6617.17, iteration CPU time 0.18, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (34304 iterations)
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 1.37827e+06/195663
Info:root: Cleaning up computation data in /tmp/cado.sgqzzuzj
3461076404388136036405223438128821658002280952600700145055381635379 1098562776864461864914380862164235807816491383417896082527780969501255395017
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)]
Intel(R) Core(TM) i7-8550U CPU @ 1.80GHz (8 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovNovember 28, 2022 06:28:00 UTC 2022 年 11 月 28 日 (月) 15 時 28 分 0 秒 (日本時間)
4511e654801000Dmitry DomanovNovember 28, 2022 06:28:00 UTC 2022 年 11 月 28 日 (月) 15 時 28 分 0 秒 (日本時間)
4480Ignacio SantosOctober 15, 2023 09:31:20 UTC 2023 年 10 月 15 日 (日) 18 時 31 分 20 秒 (日本時間)

7×10205-5

c148

name 名前Dmitry Domanov
date 日付November 15, 2022 16:09:20 UTC 2022 年 11 月 16 日 (水) 1 時 9 分 20 秒 (日本時間)
composite number 合成数
9143917682575973103729604756028987925957121130365390221611442100391033220251867293786425731941604512089264384423188933138594406204103251645291209549<148>
prime factors 素因数
941382165640432335290709367554871489<36>
composite cofactor 合成数の残り
9713289688630619324602065269867208888604563020135092825072016878287984989487089519507644210702904520253811206541<112>
factorization results 素因数分解の結果
Resuming ECM residue saved by @ccc21c86f0b5 with GMP-ECM 7.0.5-dev on Mon Nov 14 20:32:56 2022 
Input number is 9143917682575973103729604756028987925957121130365390221611442100391033220251867293786425731941604512089264384423188933138594406204103251645291209549 (148 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:778136756
Step 1 took 0ms
Step 2 took 2769ms
********** Factor found in step 2: 941382165640432335290709367554871489
Found prime factor of 36 digits: 941382165640432335290709367554871489
Composite cofactor 9713289688630619324602065269867208888604563020135092825072016878287984989487089519507644210702904520253811206541 has 112 digits

c112

name 名前Dmitry Domanov
date 日付November 17, 2022 14:18:50 UTC 2022 年 11 月 17 日 (木) 23 時 18 分 50 秒 (日本時間)
composite number 合成数
9713289688630619324602065269867208888604563020135092825072016878287984989487089519507644210702904520253811206541<112>
prime factors 素因数
73903792016368443167859871039442409991<38>
131431546658381068222594475393038773656982110238735839283680348215357967051<75>
factorization results 素因数分解の結果
Resuming ECM residue saved by @ccc21c86f0b5 with GMP-ECM 7.0.5-dev on Mon Nov 14 20:32:56 2022 
Input number is 9713289688630619324602065269867208888604563020135092825072016878287984989487089519507644210702904520253811206541 (112 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:778136938
Step 1 took 0ms
Step 2 took 2807ms
********** Factor found in step 2: 73903792016368443167859871039442409991
Found prime factor of 38 digits: 73903792016368443167859871039442409991
Prime cofactor 131431546658381068222594475393038773656982110238735839283680348215357967051 has 75 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)

7×10209-5

c109

name 名前Ignacio Santos
date 日付November 8, 2022 10:52:40 UTC 2022 年 11 月 8 日 (火) 19 時 52 分 40 秒 (日本時間)
composite number 合成数
4352446484757878622157465107613349496227764759703091487383119582108837814522841134740154604580333835769793141<109>
prime factors 素因数
69626238016030297824505436471197439522489<41>
62511584838976928492198964211863306183498294355447236523132726432669<68>
factorization results 素因数分解の結果
Number: 1
N=4352446484757878622157465107613349496227764759703091487383119582108837814522841134740154604580333835769793141
  ( 109 digits)
Divisors found:
 r1=69626238016030297824505436471197439522489 (pp41)
 r2=62511584838976928492198964211863306183498294355447236523132726432669 (pp68)
Version: Msieve v. 1.52 (SVN 927)
Total time: 8.29 hours.
Scaled time: 64.99 units (timescale=7.837).
Factorization parameters were as follows:
name: 1
n: 4352446484757878622157465107613349496227764759703091487383119582108837814522841134740154604580333835769793141
skew: 27435.20
# norm 4.65e+014
c5: 19620
c4: -91106415
c3: -36504740268659
c2: 74363285083270823
c1: 14256888117607296303320
c0: -30741950048567127215400800
# alpha -5.16
Y1: 123687509429
Y0: -739957803934818197349
# Murphy_E 1.12e-009
# M 4060566647747997963224387765565732489778919173435181350921802537902090672601033425876487971735408094207038051
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 2900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 427788 x 428013
Total sieving time: 8.21 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,108,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 8.29 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)

7×10211-5

c206

name 名前Dmitry Domanov
date 日付November 16, 2022 08:58:17 UTC 2022 年 11 月 16 日 (水) 17 時 58 分 17 秒 (日本時間)
composite number 合成数
35540842774927458601264746276462061419653578328209528499947958051650999078476719478666609124349792974590836047553647632852939608492230517906238179496487803144349132930367873109036767001850662455923008380023<206>
prime factors 素因数
368892712758535429936852597156970377<36>
96344659424571719222600417463832977499664701242371532654324019882008505547791031394970213028340576119019129481947866759831466322237550808315967736598809243372953809075199<170>
factorization results 素因数分解の結果
Resuming ECM residue saved by @ccc21c86f0b5 with GMP-ECM 7.0.5-dev on Mon Nov 14 21:52:47 2022 
Input number is 35540842774927458601264746276462061419653578328209528499947958051650999078476719478666609124349792974590836047553647632852939608492230517906238179496487803144349132930367873109036767001850662455923008380023 (206 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3931447052
Step 1 took 0ms
Step 2 took 232ms
********** Factor found in step 2: 368892712758535429936852597156970377
Found prime factor of 36 digits: 368892712758535429936852597156970377
Prime cofactor 96344659424571719222600417463832977499664701242371532654324019882008505547791031394970213028340576119019129481947866759831466322237550808315967736598809243372953809075199 has 170 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)

7×10212-5

c175

composite cofactor 合成数の残り
2414588560688303897771370296540301151372093477259457179722513663792685686574049016492016497621740508896714360888890112652707182618716953256971795411041366943445789835019644569<175>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovNovember 27, 2022 18:37:54 UTC 2022 年 11 月 28 日 (月) 3 時 37 分 54 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovNovember 27, 2022 18:37:54 UTC 2022 年 11 月 28 日 (月) 3 時 37 分 54 秒 (日本時間)

7×10214-5

c159

composite cofactor 合成数の残り
752504895286554201406106860686540874587360646704175399841205691343417802071905624638848384566451236849698150020712920697563739145840044093602027342037561007291<159>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovNovember 27, 2022 18:37:46 UTC 2022 年 11 月 28 日 (月) 3 時 37 分 46 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovNovember 27, 2022 18:37:46 UTC 2022 年 11 月 28 日 (月) 3 時 37 分 46 秒 (日本時間)

7×10215-5

c210

composite cofactor 合成数の残り
590012769562084093677170298757180244686724291247160563546482470299178617937231070072445139348373039787932553111685202901177075475276357766885954746020574588150014961038085324275232528246861342784775984794528053<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovNovember 28, 2022 06:32:30 UTC 2022 年 11 月 28 日 (月) 15 時 32 分 30 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovDecember 2, 2022 19:55:54 UTC 2022 年 12 月 3 日 (土) 4 時 55 分 54 秒 (日本時間)

7×10217-5

c174

composite cofactor 合成数の残り
830934303669537838431727165867157998057999314769778553214927749437591895202920722577246928846594940961947969894159977191799731438108251014161682564106770135075563893603982977<174>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovNovember 27, 2022 18:37:40 UTC 2022 年 11 月 28 日 (月) 3 時 37 分 40 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovNovember 27, 2022 18:37:40 UTC 2022 年 11 月 28 日 (月) 3 時 37 分 40 秒 (日本時間)

7×10218-5

c193

composite cofactor 合成数の残り
2111555754862443314926156783483189444565142622027934685707200909015387547999939607408572761784231227549487972915243027585340486626599402368162596245182504502949478773389322586842809041304397513<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovNovember 28, 2022 06:28:19 UTC 2022 年 11 月 28 日 (月) 15 時 28 分 19 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovNovember 28, 2022 06:28:19 UTC 2022 年 11 月 28 日 (月) 15 時 28 分 19 秒 (日本時間)

7×10222-5

c205

composite cofactor 合成数の残り
5121575573293883817205931733573159242024094625141128570207695610084319435048458745209295289442421421674866087172203292623537523552994765733018789711172809871937734382571088976330763960481032921522823872797<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovNovember 28, 2022 06:32:34 UTC 2022 年 11 月 28 日 (月) 15 時 32 分 34 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovDecember 2, 2022 19:56:04 UTC 2022 年 12 月 3 日 (土) 4 時 56 分 4 秒 (日本時間)

7×10223-5

c185

composite cofactor 合成数の残り
25399348751077551998319217017797803730752115542802071676774539858050666889951606932979669203969976756959721657951397975199981654014280513893996371353324690575121939236748606387889243873<185>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovNovember 28, 2022 06:29:23 UTC 2022 年 11 月 28 日 (月) 15 時 29 分 23 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovNovember 28, 2022 06:29:23 UTC 2022 年 11 月 28 日 (月) 15 時 29 分 23 秒 (日本時間)

7×10225-5

c215

name 名前Dmitry Domanov
date 日付November 15, 2022 19:50:38 UTC 2022 年 11 月 16 日 (水) 4 時 50 分 38 秒 (日本時間)
composite number 合成数
23318480764200970687769469449477867000375561638224087472369522195278406334639775130694514481253892198074835332308700511625308269959679503736209634921070376342752531258409015281356246710636911300261126825138357611017<215>
prime factors 素因数
2552559852810893376180541906098906373<37>
7176972503725437654353329490058066961<37>
composite cofactor 合成数の残り
1272867023883707848686804623075579529338357064557163364445092278094571385824570769690986193389895787751408549173133870788428213687279586325989<142>
factorization results 素因数分解の結果
Resuming ECM residue saved by @ccc21c86f0b5 with GMP-ECM 7.0.5-dev on Mon Nov 14 20:40:19 2022 
Input number is 23318480764200970687769469449477867000375561638224087472369522195278406334639775130694514481253892198074835332308700511625308269959679503736209634921070376342752531258409015281356246710636911300261126825138357611017 (215 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:990233849
Step 1 took 0ms
Step 2 took 3785ms
********** Factor found in step 2: 7176972503725437654353329490058066961
Found prime factor of 37 digits: 7176972503725437654353329490058066961
Composite cofactor 3249069263132437209881166730552464033673027775135780137969362532541440529424004571949051739845468836558869886173078604633443898292685049350622630251803486205727371515477967627897 has 178 digits
--
Resuming ECM residue saved by @ccc21c86f0b5 with GMP-ECM 7.0.5-dev on Mon Nov 14 20:40:19 2022 
Input number is 3249069263132437209881166730552464033673027775135780137969362532541440529424004571949051739845468836558869886173078604633443898292685049350622630251803486205727371515477967627897 (178 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:990234101
Step 1 took 0ms
Step 2 took 2938ms
********** Factor found in step 2: 2552559852810893376180541906098906373
Found prime factor of 37 digits: 2552559852810893376180541906098906373
Composite cofactor 1272867023883707848686804623075579529338357064557163364445092278094571385824570769690986193389895787751408549173133870788428213687279586325989 has 142 digits

c142

name 名前Eric Jeancolas
date 日付August 31, 2023 03:15:27 UTC 2023 年 8 月 31 日 (木) 12 時 15 分 27 秒 (日本時間)
composite number 合成数
1272867023883707848686804623075579529338357064557163364445092278094571385824570769690986193389895787751408549173133870788428213687279586325989<142>
prime factors 素因数
52142660245044707526747499339382484160271312327953<50>
24411240583082308030321647610440459658956347883601499766159177957569927097350832844583224213<92>
factorization results 素因数分解の結果
1272867023883707848686804623075579529338357064557163364445092278094571385824570769690986193389895787751408549173133870788428213687279586325989=52142660245044707526747499339382484160271312327953*24411240583082308030321647610440459658956347883601499766159177957569927097350832844583224213

cado polynomial
n: 1272867023883707848686804623075579529338357064557163364445092278094571385824570769690986193389895787751408549173133870788428213687279586325989
skew: 145676.917
c0: 2212722805241960164760913265248
c1: 432832010197944459901888996
c2: 795377419028919781921
c3: -19633870369771843
c4: -68887978926
c5: 286200
Y0: -1549062882695246776756927243
Y1: 17727293742498217133
# MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=2.023e+14) = 2.332e-07
# f(x) = 286200*x^5-68887978926*x^4-19633870369771843*x^3+795377419028919781921*x^2+432832010197944459901888996*x+2212722805241960164760913265248
# g(x) = 17727293742498217133*x-1549062882695246776756927243

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: 24411240583082308030321647610440459658956347883601499766159177957569927097350832844583224213 52142660245044707526747499339382484160271312327953
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 1394.03/229.159
Info:HTTP server: Got notification to stop serving Workunits
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1082.21/921.07
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 633.7s
Info:Linear Algebra: Total cpu/real time for bwc: 61125.5/15963.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 39217.24, WCT time 10217.88, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (63744 iterations)
Info:Linear Algebra: Lingen CPU time 361.7, WCT time 92.86
Info:Linear Algebra: Mksol: CPU time 21134.63,  WCT time 5494.68, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (32000 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 13404.2
Info:Polynomial Selection (root optimized): Rootsieve time: 13399.9
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 34296333
Info:Lattice Sieving: Average J: 3807.03 for 1092178 special-q, max bucket fill -bkmult 1.0,1s:1.082240
Info:Lattice Sieving: Total time: 641393s
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): 48225/43.440/50.794/55.690/0.927
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 39630/41.400/45.407/51.500/1.100
Info:Polynomial Selection (size optimized): Total time: 36739.2
Info:Generate Factor Base: Total cpu/real time for makefb: 14.62/2.05686
Info:Square Root: Total cpu/real time for sqrt: 1394.03/229.159
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 281.22/233.955
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 232.8s
Info:Quadratic Characters: Total cpu/real time for characters: 103.68/25.8578
Info:Generate Free Relations: Total cpu/real time for freerel: 723.44/91.3666
Info:Filtering - Singleton removal: Total cpu/real time for purge: 681.06/549.002
Info:Filtering - Merging: Merged matrix has 2031834 rows and total weight 345697404 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 1103.16/154.208
Info:Filtering - Merging: Total cpu/real time for replay: 78.39/67.3225
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 1.30943e+06/184610
Info:root: Cleaning up computation data in /tmp/cado.8qa8rq69
24411240583082308030321647610440459658956347883601499766159177957569927097350832844583224213 52142660245044707526747499339382484160271312327953
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)]
Intel(R) Core(TM) i7-8550U CPU @ 1.80GHz (8 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovNovember 15, 2022 19:50:14 UTC 2022 年 11 月 16 日 (水) 4 時 50 分 14 秒 (日本時間)
2350Ignacio SantosNovember 17, 2022 15:30:57 UTC 2022 年 11 月 18 日 (金) 0 時 30 分 57 秒 (日本時間)
4511e64480Ignacio SantosNovember 18, 2022 13:48:10 UTC 2022 年 11 月 18 日 (金) 22 時 48 分 10 秒 (日本時間)
5043e66454Ignacio SantosDecember 20, 2022 13:34:06 UTC 2022 年 12 月 20 日 (火) 22 時 34 分 6 秒 (日本時間)

7×10226-5

c165

composite cofactor 合成数の残り
399299754424407045401188785295150447274363678668426787461432974871278692860294021922550018967543813464549850126732149691225997343688059993190505490633470130828226087<165>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovNovember 28, 2022 06:29:36 UTC 2022 年 11 月 28 日 (月) 15 時 29 分 36 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovNovember 28, 2022 06:29:36 UTC 2022 年 11 月 28 日 (月) 15 時 29 分 36 秒 (日本時間)

7×10227-5

c155

name 名前Ignacio Santos
date 日付November 9, 2022 12:29:42 UTC 2022 年 11 月 9 日 (水) 21 時 29 分 42 秒 (日本時間)
composite number 合成数
31979175512580548183155919066848625854855785198508129106036516050502964499248948369391520123448798723569090556350266452353549819721367683816627868841942783<155>
prime factors 素因数
3683863497083531674670615673219071<34>
composite cofactor 合成数の残り
8680879608568031523845095590398179756475000939979829916841473247140507244820582490320086922891275716953190481305033148673<121>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1901767335
Step 1 took 4484ms
Step 2 took 2407ms
********** Factor found in step 2: 3683863497083531674670615673219071
Found prime factor of 34 digits: 3683863497083531674670615673219071
Composite cofactor 8680879608568031523845095590398179756475000939979829916841473247140507244820582490320086922891275716953190481305033148673 has 121 digits
 
software ソフトウェア
GMP-ECM

c121

name 名前Eric Jeancolas
date 日付November 10, 2022 04:20:07 UTC 2022 年 11 月 10 日 (木) 13 時 20 分 7 秒 (日本時間)
composite number 合成数
8680879608568031523845095590398179756475000939979829916841473247140507244820582490320086922891275716953190481305033148673<121>
prime factors 素因数
19635438040862551303241601885210365852722146525652128820273<59>
442102671226513431457527747780391447586320699505254692573070801<63>
factorization results 素因数分解の結果
8680879608568031523845095590398179756475000939979829916841473247140507244820582490320086922891275716953190481305033148673=19635438040862551303241601885210365852722146525652128820273*442102671226513431457527747780391447586320699505254692573070801

cado polynomial
n: 8680879608568031523845095590398179756475000939979829916841473247140507244820582490320086922891275716953190481305033148673
skew: 87394.955
c0: -112262605665798441378682502240
c1: -4814945935414644308937652
c2: -24742340301951019795
c3: 793159780752697
c4: -2920458900
c5: 30240
Y0: -282657227469899890529333
Y1: 155633399538781861
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.380e-06
# f(x) = 30240*x^5-2920458900*x^4+793159780752697*x^3-24742340301951019795*x^2-4814945935414644308937652*x-112262605665798441378682502240
# g(x) = 155633399538781861*x-282657227469899890529333

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: 19635438040862551303241601885210365852722146525652128820273 442102671226513431457527747780391447586320699505254692573070801
Info:Square Root: Total cpu/real time for sqrt: 1087.53/143.572
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): 20128/35.760/43.266/53.240/1.060
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16172/34.640/38.308/43.750/0.856
Info:Polynomial Selection (size optimized): Total time: 3040.66
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2178.01
Info:Polynomial Selection (root optimized): Rootsieve time: 2129.2
Info:Generate Factor Base: Total cpu/real time for makefb: 5.34/0.827922
Info:Generate Free Relations: Total cpu/real time for freerel: 131.31/16.5235
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13435673
Info:Lattice Sieving: Average J: 1906.6 for 263241 special-q, max bucket fill -bkmult 1.0,1s:1.232620
Info:Lattice Sieving: Total time: 53687.7s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 32.72/48.8474
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 48.8s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 154.96/109.359
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 104.0s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 58.51/39.7622
Info:Filtering - Merging: Merged matrix has 730284 rows and total weight 74617936 (102.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 51.19/9.49444
Info:Filtering - Merging: Total cpu/real time for replay: 15.89/12.6102
Info:Linear Algebra: Total cpu/real time for bwc: 3494.4/922.97
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 562.49, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (23040 iterations)
Info:Linear Algebra: Lingen CPU time 75.85, WCT time 20.53
Info:Linear Algebra: Mksol: WCT time 324.73, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11520 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 30.1/7.05332
Info:Square Root: Total cpu/real time for sqrt: 1087.53/143.572
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 135036/15609.4
Info:root: Cleaning up computation data in /tmp/cado.s126mlxs
19635438040862551303241601885210365852722146525652128820273 442102671226513431457527747780391447586320699505254692573070801
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)

7×10228-5

c224

composite cofactor 合成数の残り
15265677305389874494324439258960407375502949546936505686464796257728249135853623962751747374848706233848368208136606003772803105474926125025897131143072108517157530885736405369156789409981572146681350794360422641180254936811<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 28, 2022 06:32:40 UTC 2022 年 11 月 28 日 (月) 15 時 32 分 40 秒 (日本時間)

7×10231-5

c185

composite cofactor 合成数の残り
58758794940608974454700987507448996377798417312958621942733535206520329777828388721219047147622117052923166665668719485544397351313224741049437493586654549286431973736515113872878024911<185>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovNovember 28, 2022 06:29:47 UTC 2022 年 11 月 28 日 (月) 15 時 29 分 47 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovNovember 28, 2022 06:29:47 UTC 2022 年 11 月 28 日 (月) 15 時 29 分 47 秒 (日本時間)

7×10232-5

c199

name 名前Dmitry Domanov
date 日付November 15, 2022 19:49:38 UTC 2022 年 11 月 16 日 (水) 4 時 49 分 38 秒 (日本時間)
composite number 合成数
9443215925203045490519131655638077289754812481605437363537361373313337935826408544072989779504931279312047564095558591557680057547328732169419006652467054281764121659593161959237305266700762760695393<199>
prime factors 素因数
506615817809503922876006554323866881<36>
composite cofactor 合成数の残り
18639796850468363522201596866484121770195481106526631921431390625583883823977609399029271695295714402116571091906271365870951056155819071447008789667853787104614753<164>
factorization results 素因数分解の結果
Resuming ECM residue saved by @ccc21c86f0b5 with GMP-ECM 7.0.5-dev on Mon Nov 14 18:34:50 2022 
Input number is 9443215925203045490519131655638077289754812481605437363537361373313337935826408544072989779504931279312047564095558591557680057547328732169419006652467054281764121659593161959237305266700762760695393 (199 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3942706782
Step 1 took 0ms
Step 2 took 3898ms
********** Factor found in step 2: 506615817809503922876006554323866881
Found prime factor of 36 digits: 506615817809503922876006554323866881
Composite cofactor 18639796850468363522201596866484121770195481106526631921431390625583883823977609399029271695295714402116571091906271365870951056155819071447008789667853787104614753 has 164 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovNovember 15, 2022 19:49:27 UTC 2022 年 11 月 16 日 (水) 4 時 49 分 27 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovNovember 28, 2022 06:29:55 UTC 2022 年 11 月 28 日 (月) 15 時 29 分 55 秒 (日本時間)

7×10233-5

c212

composite cofactor 合成数の残り
14157348569321186822904337263368757046507834441296897717127756822314337833301766904977463882650338556153718398004933542037983419763855260044101424978027605194953306749277491203405190090661330335953202453735820127<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovNovember 28, 2022 06:32:45 UTC 2022 年 11 月 28 日 (月) 15 時 32 分 45 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovDecember 2, 2022 19:56:14 UTC 2022 年 12 月 3 日 (土) 4 時 56 分 14 秒 (日本時間)

7×10234-5

c216

composite cofactor 合成数の残り
162330006924283134880452539112927334871929025852329238743492833248885925078856720584027424412644560381422403640041257802302583103153007598565806366287319730232366818470342631634834855466236164829250425167712346795289<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovNovember 28, 2022 06:32:49 UTC 2022 年 11 月 28 日 (月) 15 時 32 分 49 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovDecember 2, 2022 19:56:26 UTC 2022 年 12 月 3 日 (土) 4 時 56 分 26 秒 (日本時間)

7×10235-5

c227

composite cofactor 合成数の残り
92440915513962015063788622648120703589729679586779071210333991074657931141012944706090018739028129962075652205819513510005398615495240748795450301125952140604428491666210459743734369603039362220014542408653304301515484952735191<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 28, 2022 06:32:54 UTC 2022 年 11 月 28 日 (月) 15 時 32 分 54 秒 (日本時間)

7×10236-5

c228

composite cofactor 合成数の残り
162251547291309565256378033282680756779554289413501787309154268572985901514546223813754860782557361580490189715739217950949338381012965128263516177688618440695666999068707409917717847987403819006688401659880149950886630475864121<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 28, 2022 06:32:58 UTC 2022 年 11 月 28 日 (月) 15 時 32 分 58 秒 (日本時間)

7×10237-5

c218

name 名前Dmitry Domanov
date 日付December 3, 2022 22:02:20 UTC 2022 年 12 月 4 日 (日) 7 時 2 分 20 秒 (日本時間)
composite number 合成数
99026708240753086534488295827904943297622425286163867349543759246533174162605089918910232236905414220617138393098248181959355089214594385578319655712237793224885836541837596527584917916752291440736978785357831550843913<218>
prime factors 素因数
9319300060153729999462233562741249129349<40>
composite cofactor 合成数の残り
10625981307776407666581574237623845641954570322506522203543694053743908801099520388745820164941738986886723545853306327431755292242728763717546862632211379521480827381172359642037<179>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3047399877
Step 1 took 76852ms
Step 2 took 28068ms
********** Factor found in step 2: 9319300060153729999462233562741249129349
Found prime factor of 40 digits: 9319300060153729999462233562741249129349
Composite cofactor 10625981307776407666581574237623845641954570322506522203543694053743908801099520388745820164941738986886723545853306327431755292242728763717546862632211379521480827381172359642037 has 179 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovNovember 28, 2022 06:33:03 UTC 2022 年 11 月 28 日 (月) 15 時 33 分 3 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovDecember 2, 2022 19:56:35 UTC 2022 年 12 月 3 日 (土) 4 時 56 分 35 秒 (日本時間)

7×10238-5

c218

composite cofactor 合成数の残り
99667753480794520163107374320725419596433148914525030572581460034652995129176651793129484058335122195733420309932752604924310842105493643675484326571898799676889368678232037194560872052786111813818144104401195801693841<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovNovember 28, 2022 06:33:09 UTC 2022 年 11 月 28 日 (月) 15 時 33 分 9 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovDecember 2, 2022 19:56:50 UTC 2022 年 12 月 3 日 (土) 4 時 56 分 50 秒 (日本時間)

7×10240-5

c215

composite cofactor 合成数の残り
33882487741780957502208350962220360285478429313082694730939709873664308104681241762446770547312754692373306054178339365462052149247186026078821202415095828262533204392315017334922764551367063817300006333435166256249<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovNovember 28, 2022 06:33:13 UTC 2022 年 11 月 28 日 (月) 15 時 33 分 13 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovDecember 2, 2022 19:56:58 UTC 2022 年 12 月 3 日 (土) 4 時 56 分 58 秒 (日本時間)

7×10242-5

c168

name 名前Dmitry Domanov
date 日付November 15, 2022 06:31:05 UTC 2022 年 11 月 15 日 (火) 15 時 31 分 5 秒 (日本時間)
composite number 合成数
159856333801262215258647306632107799269297945450007912070941513099105697555149933042371637232798972170067624453844677332823118688730389840839172600686991309082299297173<168>
prime factors 素因数
465649330664597034643701558885320265149<39>
343297677617419951434356342641719653282124711203590966262719111110074944021484457880343318100235221818548428474462154249440264377<129>
factorization results 素因数分解の結果
Resuming ECM residue saved by @ccc21c86f0b5 with GMP-ECM 7.0.5-dev on Mon Nov 14 22:12:06 2022 
Input number is 159856333801262215258647306632107799269297945450007912070941513099105697555149933042371637232798972170067624453844677332823118688730389840839172600686991309082299297173 (168 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2316871605
Step 1 took 0ms
Step 2 took 4040ms
********** Factor found in step 2: 465649330664597034643701558885320265149
Found prime factor of 39 digits: 465649330664597034643701558885320265149
Prime cofactor 343297677617419951434356342641719653282124711203590966262719111110074944021484457880343318100235221818548428474462154249440264377 has 129 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)

7×10243-5

c242

name 名前Dmitry Domanov
date 日付November 14, 2022 23:12:00 UTC 2022 年 11 月 15 日 (火) 8 時 12 分 0 秒 (日本時間)
composite number 合成数
13084112149532710280373831775700934579439252336448598130841121495327102803738317757009345794392523364485981308411214953271028037383177570093457943925233644859813084112149532710280373831775700934579439252336448598130841121495327102803738317757<242>
prime factors 素因数
50558384393272598797261309834106621<35>
composite cofactor 合成数の残り
258792133224765560125165529317801538427010741721862829051198947469194422858410092147396362397278038436542805325274775733269229390707027673960828274543154502339446428791621658887194270826836423188312907361217<207>
factorization results 素因数分解の結果
GPU: factor 50558384393272598797261309834106621 found in Step 1 with curve 1325 (-sigma 3:-2026877496)
Computing 1792 Step 1 took 286ms of CPU time / 267790ms of GPU time
Throughput: 6.692 curves per second (on average 149.44ms per Step 1)
********** Factor found in step 1: 50558384393272598797261309834106621
Found prime factor of 35 digits: 50558384393272598797261309834106621
Composite cofactor 258792133224765560125165529317801538427010741721862829051198947469194422858410092147396362397278038436542805325274775733269229390707027673960828274543154502339446428791621658887194270826836423188312907361217 has 207 digits
Peak memory usage: 9428MB

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovNovember 14, 2022 23:11:51 UTC 2022 年 11 月 15 日 (火) 8 時 11 分 51 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovDecember 2, 2022 19:57:10 UTC 2022 年 12 月 3 日 (土) 4 時 57 分 10 秒 (日本時間)

7×10244-5

c245

composite cofactor 合成数の残り
13999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 28, 2022 06:33:20 UTC 2022 年 11 月 28 日 (月) 15 時 33 分 20 秒 (日本時間)

7×10246-5

c176

composite cofactor 合成数の残り
50416159048490329708819648878186258449215098552759986192648357493753604983844600593670821432922816762475863646429979475257152240391950740663868259251467579846591999025040907361<176>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovNovember 28, 2022 06:30:08 UTC 2022 年 11 月 28 日 (月) 15 時 30 分 8 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovNovember 28, 2022 06:30:08 UTC 2022 年 11 月 28 日 (月) 15 時 30 分 8 秒 (日本時間)

7×10247-5

c195

composite cofactor 合成数の残り
147479792172448705223089968383519198898605901031964746613082640820249877072711260501349794331130825408437170013212217640281022358055878435579138418607509663131347871837326949162412412151990397569<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovNovember 28, 2022 06:30:19 UTC 2022 年 11 月 28 日 (月) 15 時 30 分 19 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovNovember 28, 2022 06:30:19 UTC 2022 年 11 月 28 日 (月) 15 時 30 分 19 秒 (日本時間)

7×10248-5

c213

name 名前Dmitry Domanov
date 日付December 3, 2022 16:20:01 UTC 2022 年 12 月 4 日 (日) 1 時 20 分 1 秒 (日本時間)
composite number 合成数
556101608561057735713162059545424085165807171913465149087751657590166102799596680237777519083558418281092068278894198964159910117294262889383618154736588899875794152165802366436449035305458683915821706118108922251<213>
prime factors 素因数
5799029532999744725225121518461030296023<40>
95895633122150236072839663171395896841077408495125405622804273182753637309592334778330940476489521019712802679156817857350481140105425636525337482905704646561723204052137837<173>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3865914793
Step 1 took 56195ms
Step 2 took 18473ms
********** Factor found in step 2: 5799029532999744725225121518461030296023
Found prime factor of 40 digits: 5799029532999744725225121518461030296023
Prime cofactor 95895633122150236072839663171395896841077408495125405622804273182753637309592334778330940476489521019712802679156817857350481140105425636525337482905704646561723204052137837 has 173 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovNovember 28, 2022 06:33:26 UTC 2022 年 11 月 28 日 (月) 15 時 33 分 26 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovDecember 2, 2022 19:58:03 UTC 2022 年 12 月 3 日 (土) 4 時 58 分 3 秒 (日本時間)

7×10249-5

c234

composite cofactor 合成数の残り
492050331895593055081050505334731084642702426631770867117048749804898143083408089734631046643021316417990196926262119962200633589440581212720980140670393310331843010792452573905287686986835654843305930171050661728438629842721029748669<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 28, 2022 06:33:30 UTC 2022 年 11 月 28 日 (月) 15 時 33 分 30 秒 (日本時間)

7×10250-5

c246

composite cofactor 合成数の残り
104879126806355675084465153910118588326953186452613363099028369803801119210110347824132687078142440836935431914718287174031928202746334849086427891854637530246391034332931296680575636578842883576677878744746679451931648774787057915752095709694577<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 28, 2022 06:33:36 UTC 2022 年 11 月 28 日 (月) 15 時 33 分 36 秒 (日本時間)

7×10252-5

c145

name 名前Eric Jeancolas
date 日付January 14, 2024 17:28:55 UTC 2024 年 1 月 15 日 (月) 2 時 28 分 55 秒 (日本時間)
composite number 合成数
7284567034493075209276984054771133349341553744076636190405803912232151280130787394954034845151303394948703268353997549658080495752034371655504879<145>
prime factors 素因数
40126142019387194052802577107759493131219887386747439563<56>
181541675025062003890014739756042598208457678480519303418999509811950260920580693902961133<90>
factorization results 素因数分解の結果
7284567034493075209276984054771133349341553744076636190405803912232151280130787394954034845151303394948703268353997549658080495752034371655504879=40126142019387194052802577107759493131219887386747439563*181541675025062003890014739756042598208457678480519303418999509811950260920580693902961133

cado polynomial
n: 7284567034493075209276984054771133349341553744076636190405803912232151280130787394954034845151303394948703268353997549658080495752034371655504879
skew: 476406.967
c0: 807966480947955007920170282825472
c1: 4240500250768185368377515882
c2: -30658952386410641456841
c3: -16562986674430162
c4: 73396034174
c5: 33600
Y0: -11550760369159712994594228425
Y1: 289449869015608816307
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=3.355e+14) = 1.801e-07
# f(x) = 33600*x^5+73396034174*x^4-16562986674430162*x^3-30658952386410641456841*x^2+4240500250768185368377515882*x+807966480947955007920170282825472
# g(x) = 289449869015608816307*x-11550760369159712994594228425

cado parameters (extracts)
tasks.lim0 = 10000000
tasks.lim1 = 20000000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 58
tasks.sieve.mfb1 = 87
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 40126142019387194052802577107759493131219887386747439563 181541675025062003890014739756042598208457678480519303418999509811950260920580693902961133
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 3234.82/247.036
Info:HTTP server: Got notification to stop serving Workunits
Info:Generate Free Relations: Total cpu/real time for freerel: 233.68/13.8953
Info:Quadratic Characters: Total cpu/real time for characters: 110.57/21.7593
Info:Generate Factor Base: Total cpu/real time for makefb: 6.61/0.475543
Info:Linear Algebra: Total cpu/real time for bwc: 171129/17078.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 110524.93, WCT time 11089.56, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.03, comm-wait 0.0 (109568 iterations)
Info:Linear Algebra: Lingen CPU time 715.04, WCT time 49.29
Info:Linear Algebra: Mksol: CPU time 58843.86,  WCT time 5828.03, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.03, comm-wait 0.0 (54784 iterations)
Info:Filtering - Merging: Merged matrix has 3504920 rows and total weight 595897000 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 804.07/48.2857
Info:Filtering - Merging: Total cpu/real time for replay: 78.38/69.345
Info:Square Root: Total cpu/real time for sqrt: 3234.82/247.036
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 49234890
Info:Lattice Sieving: Average J: 3824.67 for 1184739 special-q, max bucket fill -bkmult 1.0,1s:1.143110
Info:Lattice Sieving: Total time: 1.01613e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 196.25/168.666
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 168.29999999999998s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 681.61/514.811
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 3372.64
Info:Polynomial Selection (root optimized): Rootsieve time: 3371.26
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 920.2/695.668
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 505.2s
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 81888.4
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 57286/43.250/52.214/57.260/0.908
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 47210/42.200/46.656/52.940/1.071
Info:Polynomial Selection (size optimized): Total time: 29357.7
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 2.14719e+06/104198
40126142019387194052802577107759493131219887386747439563 181541675025062003890014739756042598208457678480519303418999509811950260920580693902961133
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
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosNovember 9, 2022 11:20:31 UTC 2022 年 11 月 9 日 (水) 20 時 20 分 31 秒 (日本時間)
4511e64480Ignacio SantosNovember 12, 2022 11:34:25 UTC 2022 年 11 月 12 日 (土) 20 時 34 分 25 秒 (日本時間)
5043e66454Ignacio SantosDecember 6, 2022 16:52:44 UTC 2022 年 12 月 7 日 (水) 1 時 52 分 44 秒 (日本時間)

7×10253-5

c195

name 名前Dmitry Domanov
date 日付November 14, 2022 23:11:27 UTC 2022 年 11 月 15 日 (火) 8 時 11 分 27 秒 (日本時間)
composite number 合成数
155780136275186053521232048500778337188843016240297502254093702517416410776061189421638151041027754644034703894047299073894750602055779402999659562801649389166714172435562171722959957349502273481<195>
prime factors 素因数
393136422489297610204923682381125653<36>
composite cofactor 合成数の残り
396249564690045656654145867896264133554866820395153272811307949815395425477540824450005748711607016338042128899459385545271255626048829965094712753454863829477<159>
factorization results 素因数分解の結果
GPU: factor 393136422489297610204923682381125653 found in Step 1 with curve 513 (-sigma 3:124969299)
Computing 1792 Step 1 took 202ms of CPU time / 175183ms of GPU time
Throughput: 10.229 curves per second (on average 97.76ms per Step 1)
********** Factor found in step 1: 393136422489297610204923682381125653
Found prime factor of 36 digits: 393136422489297610204923682381125653
Composite cofactor 396249564690045656654145867896264133554866820395153272811307949815395425477540824450005748711607016338042128899459385545271255626048829965094712753454863829477 has 159 digits
Peak memory usage: 9428MB

c159

name 名前Ignacio Santos
date 日付November 19, 2022 10:36:59 UTC 2022 年 11 月 19 日 (土) 19 時 36 分 59 秒 (日本時間)
composite number 合成数
396249564690045656654145867896264133554866820395153272811307949815395425477540824450005748711607016338042128899459385545271255626048829965094712753454863829477<159>
prime factors 素因数
18070227332534454574282565929288943985378487<44>
21928310994550689393441968973518700421846520214455114991977051433346784486581268032615814978147298094005927157768771<116>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:445256156
Step 1 took 23375ms
Step 2 took 10172ms
********** Factor found in step 2: 18070227332534454574282565929288943985378487
Found prime factor of 44 digits: 18070227332534454574282565929288943985378487
Prime cofactor 21928310994550689393441968973518700421846520214455114991977051433346784486581268032615814978147298094005927157768771 has 116 digits
 
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovNovember 14, 2022 23:11:20 UTC 2022 年 11 月 15 日 (火) 8 時 11 分 20 秒 (日本時間)
2350Ignacio SantosNovember 17, 2022 15:46:43 UTC 2022 年 11 月 18 日 (金) 0 時 46 分 43 秒 (日本時間)

7×10254-5

c224

composite cofactor 合成数の残り
97360296761828285015440717637725548447374973843786746282098827335826877149305647251596277380513563532938840801327523138418213068195848038152073225917798516728574127776190586703720292330919941181923829962659947410675035923951<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 28, 2022 06:33:41 UTC 2022 年 11 月 28 日 (月) 15 時 33 分 41 秒 (日本時間)

7×10255-5

c244

composite cofactor 合成数の残り
1046405123965113458948867754236513793869563861988564248398156353629481394835246029608049191408255540565692224083670921137976514510647611286041713388093787530092405720750499578565434184584843020019769661613905334983931270049101102254099736733461<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 28, 2022 06:33:46 UTC 2022 年 11 月 28 日 (月) 15 時 33 分 46 秒 (日本時間)

7×10256-5

c224

composite cofactor 合成数の残り
45581661811548757395442594944430505608750840919842588063256725132963108098961431044816978802899150878290271258932586820391219252278422573025701057623035533717338368607492035410447972242206518076738848561123024029441875441429<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 28, 2022 06:33:51 UTC 2022 年 11 月 28 日 (月) 15 時 33 分 51 秒 (日本時間)

7×10258-5

c226

composite cofactor 合成数の残り
3308791615836040407539660655828953523123878594245638868964276117810773771169736982685753122203777582190761202877206463699269953247013395042391531668914393821111405811506281939593484829016274841150106825159165840129106450993117<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 28, 2022 06:34:29 UTC 2022 年 11 月 28 日 (月) 15 時 34 分 29 秒 (日本時間)

7×10259-5

c174

composite cofactor 合成数の残り
909137909285746450020273334875251090619929969924602762382498079669711186515835762131564616017713184865832103632477564264810532295013316708815449046962928100507604763996302889<174>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosNovember 9, 2022 14:19:32 UTC 2022 年 11 月 9 日 (水) 23 時 19 分 32 秒 (日本時間)
4511e64480Ignacio SantosNovember 14, 2022 16:34:47 UTC 2022 年 11 月 15 日 (火) 1 時 34 分 47 秒 (日本時間)
5043e61792 / 6453Dmitry DomanovMay 24, 2024 18:44:59 UTC 2024 年 5 月 25 日 (土) 3 時 44 分 59 秒 (日本時間)

7×10260-5

c250

composite cofactor 合成数の残り
9372392561268084483246497467996032376220211109742941890308747055503629886166142045509087530103603567456866822988369280781598713118390835251349900529047118222696804953230258523907703698912645723016447221613401829251590107854152337125024161082415485351<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 28, 2022 06:34:38 UTC 2022 年 11 月 28 日 (月) 15 時 34 分 38 秒 (日本時間)

7×10261-5

c247

composite cofactor 合成数の残り
1240836228725332912685177052492893064171956899745995487138075366724001466847600200252568512550644240750173382016505587903364749869551624054074819151810898619486665341435246923749413597288431813884964661776342691135591923486856021228517827135372109<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 28, 2022 06:34:45 UTC 2022 年 11 月 28 日 (月) 15 時 34 分 45 秒 (日本時間)

7×10263-5

c168

name 名前Ignacio Santos
date 日付November 9, 2022 13:37:21 UTC 2022 年 11 月 9 日 (水) 22 時 37 分 21 秒 (日本時間)
composite number 合成数
114591412280475717795467065195039586021826871421026676355719568061383866179375254959138477473044062749394457609860123826835318340049345507880900962011344817258859891887<168>
prime factors 素因数
9438021860541654392644805989848627013<37>
composite cofactor 合成数の残り
12141465020287549952134255312047739096201186797385502233592079063160643329712493648024739242063801277723757146162731117979871955299<131>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1881688350
Step 1 took 4375ms
Step 2 took 2484ms
********** Factor found in step 2: 9438021860541654392644805989848627013
Found prime factor of 37 digits: 9438021860541654392644805989848627013
Composite cofactor 12141465020287549952134255312047739096201186797385502233592079063160643329712493648024739242063801277723757146162731117979871955299 has 131 digits
 
software ソフトウェア
GMP-ECM

c131

name 名前Eric Jeancolas
date 日付November 14, 2022 04:36:04 UTC 2022 年 11 月 14 日 (月) 13 時 36 分 4 秒 (日本時間)
composite number 合成数
12141465020287549952134255312047739096201186797385502233592079063160643329712493648024739242063801277723757146162731117979871955299<131>
prime factors 素因数
2898230201889905887366007543906181449538462784054473982701899<61>
4189268682787939482783420367914639806486900517876589464741488975286601<70>
factorization results 素因数分解の結果
12141465020287549952134255312047739096201186797385502233592079063160643329712493648024739242063801277723757146162731117979871955299=2898230201889905887366007543906181449538462784054473982701899*4189268682787939482783420367914639806486900517876589464741488975286601

cado polynomial
n: 12141465020287549952134255312047739096201186797385502233592079063160643329712493648024739242063801277723757146162731117979871955299
skew: 347090.829
c0: 32298234520344838549801732273300
c1: 1601391397231464798755810234
c2: -3996847611190528140205
c3: -25041280236072539
c4: 11618242320
c5: 33600
Y0: -23537308793370935629994751
Y1: 27942871500853549
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 4.511e-07
# f(x) = 33600*x^5+11618242320*x^4-25041280236072539*x^3-3996847611190528140205*x^2+1601391397231464798755810234*x+32298234520344838549801732273300
# g(x) = 27942871500853549*x-23537308793370935629994751

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

cado log (extracts)
Info:Square Root: Factors: 4189268682787939482783420367914639806486900517876589464741488975286601 2898230201889905887366007543906181449538462784054473982701899
Info:Square Root: Total cpu/real time for sqrt: 557.95/165.852
Info:Generate Factor Base: Total cpu/real time for makefb: 39.07/10.7661
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 313.93/280.402
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 255.09999999999997s
Info:Square Root: Total cpu/real time for sqrt: 557.95/165.852
Info:Generate Free Relations: Total cpu/real time for freerel: 258.2/65.4945
Info:Filtering - Singleton removal: Total cpu/real time for purge: 190.49/199.077
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 110.79/119.252
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 119.10000000000001s
Info:Filtering - Merging: Merged matrix has 1482783 rows and total weight 253560798 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 358.72/100.885
Info:Filtering - Merging: Total cpu/real time for replay: 55.79/47.4993
Info:Linear Algebra: Total cpu/real time for bwc: 34888.9/8977.39
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 22261.27, WCT time 5691.64, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (46592 iterations)
Info:Linear Algebra: Lingen CPU time 289.11, WCT time 73.49
Info:Linear Algebra: Mksol: CPU time 12078.98,  WCT time 3118.37, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (23296 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24998676
Info:Lattice Sieving: Average J: 8181.63 for 60584 special-q, max bucket fill -bkmult 1.0,1s:1.076660
Info:Lattice Sieving: Total time: 106733s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6044.26
Info:Polynomial Selection (root optimized): Rootsieve time: 6041.08
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 39055/39.420/46.459/50.110/0.830
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 31055/37.060/41.717/47.270/0.998
Info:Polynomial Selection (size optimized): Total time: 6632.22
Info:Quadratic Characters: Total cpu/real time for characters: 56.11/25.0225
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 258000/22080.8
Info:root: Cleaning up computation data in /tmp/cado.q1i5keru
4189268682787939482783420367914639806486900517876589464741488975286601 2898230201889905887366007543906181449538462784054473982701899
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosNovember 10, 2022 10:11:48 UTC 2022 年 11 月 10 日 (木) 19 時 11 分 48 秒 (日本時間)
4511e64480Ignacio SantosNovember 11, 2022 16:59:09 UTC 2022 年 11 月 12 日 (土) 1 時 59 分 9 秒 (日本時間)

7×10264-5

c217

composite cofactor 合成数の残り
9446591682982895911414931347581573278604405878641106887370253000311106646498190059128887664064939088666504307269961610098668465489832902094699519770989545916479983459341801214847192987626726566637030638907438126799401<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovNovember 28, 2022 06:34:50 UTC 2022 年 11 月 28 日 (月) 15 時 34 分 50 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovDecember 2, 2022 19:58:12 UTC 2022 年 12 月 3 日 (土) 4 時 58 分 12 秒 (日本時間)

7×10265-5

c265

composite cofactor 合成数の残り
1076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923<265>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 28, 2022 06:34:55 UTC 2022 年 11 月 28 日 (月) 15 時 34 分 55 秒 (日本時間)

7×10267-5

c230

composite cofactor 合成数の残り
48710833804107721623111047250619163903580818405956419107558747332679583702230904163470861242118610183099319708923398259472241369670142635072681908596136378666871815339110106947557561039410698614568554443673847552539116131471886433<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 28, 2022 06:34:59 UTC 2022 年 11 月 28 日 (月) 15 時 34 分 59 秒 (日本時間)

7×10268-5

c266

composite cofactor 合成数の残り
11794439764111204717775905644481887110362257792754844144903117101937657961246840775063184498736310025273799494524010109519797809604043807919123841617523167649536647009267059814658803706823925863521482729570345408593091828138163437236731255265374894692502106149957877<266>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 28, 2022 06:35:05 UTC 2022 年 11 月 28 日 (月) 15 時 35 分 5 秒 (日本時間)

7×10269-5

c253

composite cofactor 合成数の残り
1268107060873651883569938930562877004101344485127337651329681397942314772977531213657179550944315901468526226500295314078963936949507087049761334337656980235861684233260568069074216264276704258117468282563783907214181246468881378104466225073814271163839<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 28, 2022 06:35:10 UTC 2022 年 11 月 28 日 (月) 15 時 35 分 10 秒 (日本時間)

7×10270-5

c267

composite cofactor 合成数の残り
628648405927256398742703188145487202514593623709025594970812752581948810058374494836102379883251010327795240233497979344409519533004041311180960933991917377638078132016165244723843735967669510552312528064660978895374943870678042209250112258643915581499775482712168837<267>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 28, 2022 06:35:15 UTC 2022 年 11 月 28 日 (月) 15 時 35 分 15 秒 (日本時間)

7×10271-5

c246

composite cofactor 合成数の残り
642670036452212158442617416191569815226138398673922982948879355578816625569160482525551904305955889300179926065090690230370994578362809756483972272817443771234521199563022889198509024988341261596461415473580911121938761371730369145372169000315499<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 28, 2022 06:35:21 UTC 2022 年 11 月 28 日 (月) 15 時 35 分 21 秒 (日本時間)

7×10272-5

c235

composite cofactor 合成数の残り
4143919338895364190002676414608132460276224270342493674929474905971843913324896062009937448926946744946587114948776043057267470290474791782361582080477790088972133610030744611645283566536444985685495409839391358273802854880469577979937<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 28, 2022 06:35:25 UTC 2022 年 11 月 28 日 (月) 15 時 35 分 25 秒 (日本時間)

7×10273-5

c263

composite cofactor 合成数の残り
55072194017782397698815736906048318487019589313591592195044153436660680377264985981650143921244435046302854041474179417550006658627530156520804170139006033810555389699240035747035424252220604692047544071976329869363621881219252100749306028979382573042576343445517<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 28, 2022 06:35:31 UTC 2022 年 11 月 28 日 (月) 15 時 35 分 31 秒 (日本時間)

7×10274-5

c184

name 名前Bob Backstrom
date 日付August 29, 2023 00:42:10 UTC 2023 年 8 月 29 日 (火) 9 時 42 分 10 秒 (日本時間)
composite number 合成数
1010439027860148421946929031621473824914343248473404812380392458385437855825075156220520717590330196210910604019723810828879804666301782992886179874109571282335227178575001538012557149<184>
prime factors 素因数
3361222848366005525981874754947670011476786861396962051<55>
300616493890416730852158011186191177488091371404517361310586645395941233863844982472698558550626916621928472200824190491001159199<129>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
Input number is 1010439027860148421946929031621473824914343248473404812380392458385437855825075156220520717590330196210910604019723810828879804666301782992886179874109571282335227178575001538012557149 (184 digits)
Using B1=54790000, B2=288596528236, polynomial Dickson(12), sigma=1:300139563
Step 1 took 176572ms
Step 2 took 43111ms
********** Factor found in step 2: 3361222848366005525981874754947670011476786861396962051
Found prime factor of 55 digits: 3361222848366005525981874754947670011476786861396962051
Prime cofactor 300616493890416730852158011186191177488091371404517361310586645395941233863844982472698558550626916621928472200824190491001159199 has 129 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosNovember 9, 2022 14:46:22 UTC 2022 年 11 月 9 日 (水) 23 時 46 分 22 秒 (日本時間)
4511e64480Ignacio SantosNovember 16, 2022 13:44:07 UTC 2022 年 11 月 16 日 (水) 22 時 44 分 7 秒 (日本時間)

7×10275-5

c263

composite cofactor 合成数の残り
11290788751308377333495588075791286530565738024933782398610408662328936837007475270259031072543979824734743957690952358802257169792600211292815455002434100551228253953111554246485089165672968259242141808382338436948319384751988884691044815991133814246578095962161<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 28, 2022 06:35:39 UTC 2022 年 11 月 28 日 (月) 15 時 35 分 39 秒 (日本時間)

7×10276-5

c200

composite cofactor 合成数の残り
18050137608761722092654790690556122567138831620908468068512869288900916411807775897296263096123357156486118660079499841203018408754279021202982568712410886037714016673794140841709539857685729174321637<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovNovember 28, 2022 06:30:42 UTC 2022 年 11 月 28 日 (月) 15 時 30 分 42 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovNovember 28, 2022 06:30:42 UTC 2022 年 11 月 28 日 (月) 15 時 30 分 42 秒 (日本時間)

7×10277-5

c262

composite cofactor 合成数の残り
2767308820171133220928131111667804441632071399491978288420900586268863173994361921373908893274844486914465421362099160370568563160399003469493639542563390005848720737196863340301356365826474852043228209491059740278694011629728988086057509212935338658267652328623<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 28, 2022 06:35:47 UTC 2022 年 11 月 28 日 (月) 15 時 35 分 47 秒 (日本時間)

7×10279-5

c272

composite cofactor 合成数の残り
16288151927318263868689479844499805804508646547999025549676553951065295745661531481617883981285518424011472350390910410778233123406589723220902464370627496515586184934024898790368541193672792923710124088144171831067618436126367066045559101111344096319195283388655071821617<272>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 28, 2022 06:35:51 UTC 2022 年 11 月 28 日 (月) 15 時 35 分 51 秒 (日本時間)

7×10280-5

c245

composite cofactor 合成数の残り
43159264985739937017642544837649085208489198555008195549459472147111188366445332518946394113558707384242560543103411638313499780203718715165773966615319626477924246388000899301262445087349480344147604022130084035957323813321608398697909695689247<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 28, 2022 06:35:59 UTC 2022 年 11 月 28 日 (月) 15 時 35 分 59 秒 (日本時間)

7×10281-5

c277

composite cofactor 合成数の残り
6441816592279022684396999953987024340864123682878571757235540422399116550867344591174711268577738922376110063037776653016150554456356692587309621313210325311737910090645562048497676344729213638245985367873740394791331155385818800901854322919063175815579993558183407720977315603<277>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 28, 2022 06:36:04 UTC 2022 年 11 月 28 日 (月) 15 時 36 分 4 秒 (日本時間)

7×10284-5

c256

composite cofactor 合成数の残り
3819538695766875190358608286226294260971868660918096422731885244353723302001805003170581815421910636484596714136325573213225139911297758612851984857559058356860582803519755447476180858471244846042440916120989328512612588117613519565956157078788051861421073<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 28, 2022 06:36:09 UTC 2022 年 11 月 28 日 (月) 15 時 36 分 9 秒 (日本時間)

7×10285-5

c251

composite cofactor 合成数の残り
62137118546570359932876237469347829588060206490035583221475167833240087812037461382488740187132060944333984663977721591794783476689529035921363693636833002635891994716937910246178264193087685641694554649767717538286332905684630824629970150171987052361<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 28, 2022 06:36:16 UTC 2022 年 11 月 28 日 (月) 15 時 36 分 16 秒 (日本時間)

7×10287-5

c265

composite cofactor 合成数の残り
1033573788807178062591289150339034207236588951432593031036693841327139725795820030744570807032378464560522392342135286822870208200073136243004655256763630655428283852117416828176089246423016294825783648764954468702218581928354599087545869372561026077499287144577911<265>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 28, 2022 06:36:44 UTC 2022 年 11 月 28 日 (月) 15 時 36 分 44 秒 (日本時間)

7×10288-5

c256

composite cofactor 合成数の残り
1871201288369204189518975618787349243565680186904051737886407583530843954628579667602650949918268292148630738317701001375947516961096112534948679643326532674795773287931558799102312523846762919108664444133793690610472672652570764589056144015089001131366803<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 28, 2022 06:36:49 UTC 2022 年 11 月 28 日 (月) 15 時 36 分 49 秒 (日本時間)

7×10289-5

c253

composite cofactor 合成数の残り
5767169402875111042391900262359501927155928589443563231220516638789211307139580489976581391512603312350397479803892909788714924763283013577711296311515722755347607997918040791895573732201826486038314531308510899802796942511253994693632609974801668731473<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 28, 2022 06:36:53 UTC 2022 年 11 月 28 日 (月) 15 時 36 分 53 秒 (日本時間)

7×10290-5

c226

composite cofactor 合成数の残り
1565705682649458034632786717213796183984068917550484404805774817775953943823576867277287523937505631970270080943935031840251032759573329447515724502234685141139233846506965956171642457352256048505571248614312178477183774066227<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 28, 2022 06:36:59 UTC 2022 年 11 月 28 日 (月) 15 時 36 分 59 秒 (日本時間)

7×10292-5

c272

composite cofactor 合成数の残り
22585988839023309356071614443243599544072465262368408232326327507690667108283983096514746833469574498485020714616451524091285839989602854410814757236638536170510131771057902590339170786401715595623893055364588102352421523425563348830987831174100505403444554840148935047771<272>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 28, 2022 06:37:03 UTC 2022 年 11 月 28 日 (月) 15 時 37 分 3 秒 (日本時間)

7×10293-5

c254

composite cofactor 合成数の残り
10231527624169232286423372245547411045969039568240853297511669422319534592027339843988234329443988207920864293184658909899832129471736212622442681661524127382769943741927223814728144993672379461953367932409946077415817290921965019004185753301888686985241<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 28, 2022 06:37:08 UTC 2022 年 11 月 28 日 (月) 15 時 37 分 8 秒 (日本時間)

7×10296-5

c260

composite cofactor 合成数の残り
42756463286709612083593862730047528090822715571249134391510486323163634641438713546302811607138792111159406362119856993070074803061084759708581124254971382689200841154526362856039139692702965583731421077151495921764481635862718625731236267871640013161487867277<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 28, 2022 06:37:13 UTC 2022 年 11 月 28 日 (月) 15 時 37 分 13 秒 (日本時間)

7×10297-5

c239

name 名前Dmitry Domanov
date 日付November 16, 2022 05:39:46 UTC 2022 年 11 月 16 日 (水) 14 時 39 分 46 秒 (日本時間)
composite number 合成数
48048751128487688658517521929200130403855028074651943144256325253995681065081109022902584744763366956263129117852632157243547750042963948138022468688847231860967231302049442545744052942197933564753720872688877712148393058649050467201402753<239>
prime factors 素因数
24707355502754752368235733027876753330091077059<47>
composite cofactor 合成数の残り
1944714444373882180038909153675189149620179868733779316115633680180841934431915668917120708292714786719296274049426995391017355240598722602716947676160161987973696596123496244966502639501692267<193>
factorization results 素因数分解の結果
Resuming ECM residue saved by @ccc21c86f0b5 with GMP-ECM 7.0.5-dev on Mon Nov 14 18:45:10 2022 
Input number is 48048751128487688658517521929200130403855028074651943144256325253995681065081109022902584744763366956263129117852632157243547750042963948138022468688847231860967231302049442545744052942197933564753720872688877712148393058649050467201402753 (239 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3433027979
Step 1 took 0ms
Step 2 took 4747ms
********** Factor found in step 2: 24707355502754752368235733027876753330091077059
Found prime factor of 47 digits: 24707355502754752368235733027876753330091077059
Composite cofactor 1944714444373882180038909153675189149620179868733779316115633680180841934431915668917120708292714786719296274049426995391017355240598722602716947676160161987973696596123496244966502639501692267 has 193 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovNovember 16, 2022 05:39:26 UTC 2022 年 11 月 16 日 (水) 14 時 39 分 26 秒 (日本時間)
4511e645841000Dmitry DomanovNovember 28, 2022 06:31:11 UTC 2022 年 11 月 28 日 (月) 15 時 31 分 11 秒 (日本時間)
3584Dmitry DomanovJune 12, 2024 12:54:58 UTC 2024 年 6 月 12 日 (水) 21 時 54 分 58 秒 (日本時間)
5043e61792 / 6451Dmitry DomanovJune 12, 2024 17:40:43 UTC 2024 年 6 月 13 日 (木) 2 時 40 分 43 秒 (日本時間)

7×10298-5

c256

composite cofactor 合成数の残り
4338064296585337645307194269684036890940610124598710856210188716447794364671281111765818431849281193397586989156356167688277326809284170464613563884608161560215485029677367924354036646303374067675240653251362631335349173422301831198997126871110416916386087<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 28, 2022 06:37:19 UTC 2022 年 11 月 28 日 (月) 15 時 37 分 19 秒 (日本時間)

7×10299-5

c290

composite cofactor 合成数の残り
17758612252717826887051438794957268168657372872585338453369739936201127576209866432008863207690657363980340794596047593964201396118392629580443483822137826948798133597657152254935225562651759875791425414180349378576452190180183790172362948075158167736463248523846338928850113793971738125789<290>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 28, 2022 06:37:24 UTC 2022 年 11 月 28 日 (月) 15 時 37 分 24 秒 (日本時間)

7×10300-5

c289

composite cofactor 合成数の残り
9244111780600164685643408489973078091381978201942407537085288235423965606956304954443048116378435663356367038106419435846582447392308346072559205560522772016598895276844818798822885689115246616851788142422677737329739618470686770676511149894065594590139024265174339306548520641974971653179<289>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 7, 2022 07:00:00 UTC 2022 年 11 月 7 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovNovember 13, 2022 22:36:12 UTC 2022 年 11 月 14 日 (月) 7 時 36 分 12 秒 (日本時間)
4511e63584Dmitry DomanovNovember 13, 2022 22:36:12 UTC 2022 年 11 月 14 日 (月) 7 時 36 分 12 秒 (日本時間)
5043e6130 / 6675Dmitry DomanovNovember 13, 2022 22:36:12 UTC 2022 年 11 月 14 日 (月) 7 時 36 分 12 秒 (日本時間)