Table of contents 目次

79×10118+29

c85

name 名前Ignacio Santos
date 日付May 7, 2022 18:25:10 UTC 2022 年 5 月 8 日 (日) 3 時 25 分 10 秒 (日本時間)
composite number 合成数
1175422309551147553554714720970520647129899970397490705375547519106131691573163426901<85>
prime factors 素因数
107383569084620589578842248502685072782549<42>
10946016411736968727998313803628587928818049<44>
factorization results 素因数分解の結果
prp42 = 107383569084620589578842248502685072782549
prp44 = 10946016411736968727998313803628587928818049
software ソフトウェア
Yafu

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

79×10121+29

c117

name 名前Ignacio Santos
date 日付May 7, 2022 16:50:36 UTC 2022 年 5 月 8 日 (日) 1 時 50 分 36 秒 (日本時間)
composite number 合成数
248762328692498902611752540052309364610630275571980167029733710948250508073439677654404258307244777722987087660695741<117>
prime factors 素因数
103304137861291931321021852886999728580247134006167<51>
2408057739434561091020250355102897579311266246097632345901919211723<67>
factorization results 素因数分解の結果
N=248762328692498902611752540052309364610630275571980167029733710948250508073439677654404258307244777722987087660695741
  ( 117 digits)
SNFS difficulty: 122 digits.
Divisors found:
 r1=103304137861291931321021852886999728580247134006167 (pp51)
 r2=2408057739434561091020250355102897579311266246097632345901919211723 (pp67)
Version: Msieve v. 1.52 (SVN 927)
Total time: 0.81 hours.
Scaled time: 6.37 units (timescale=7.831).
Factorization parameters were as follows:
n: 248762328692498902611752540052309364610630275571980167029733710948250508073439677654404258307244777722987087660695741
m: 1000000000000000000000000000000
deg: 4
c4: 395
c0: 1
skew: 0.22
# Murphy_E = 3.826e-08
type: snfs
lss: 1
rlim: 770000
alim: 770000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2Factor base limits: 770000/770000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [385000, 610001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 79048 x 79296
Total sieving time: 0.81 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,122.000,4,0,0,0,0,0,0,0,0,770000,770000,25,25,46,46,2.2,2.2,75000
total time: 0.81 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

79×10132+29

c127

name 名前Ignacio Santos
date 日付May 7, 2022 20:04:38 UTC 2022 年 5 月 8 日 (日) 5 時 4 分 38 秒 (日本時間)
composite number 合成数
1354950383260579358260509895614279448191482548633542829244110227923579014651953209001028012861669273488296435976244666855262039<127>
prime factors 素因数
265334048209436797785651380359860766744701976638496944757<57>
5106583163390598604570571933233766880557424230400287738345827827564827<70>
factorization results 素因数分解の結果
N=1354950383260579358260509895614279448191482548633542829244110227923579014651953209001028012861669273488296435976244666855262039
  ( 127 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=265334048209436797785651380359860766744701976638496944757 (pp57)
 r2=5106583163390598604570571933233766880557424230400287738345827827564827 (pp70)
Version: Msieve v. 1.52 (SVN 927)
Total time: 3.06 hours.
Scaled time: 24.11 units (timescale=7.880).
Factorization parameters were as follows:
n: 1354950383260579358260509895614279448191482548633542829244110227923579014651953209001028012861669273488296435976244666855262039
m: 1000000000000000000000000000000000
deg: 4
c4: 79
c0: 2
skew: 0.40
# Murphy_E = 8.13e-09
type: snfs
lss: 1
rlim: 1190000
alim: 1190000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1190000/1190000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [595000, 1395001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 163957 x 164182
Total sieving time: 3.04 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,133.000,4,0,0,0,0,0,0,0,0,1190000,1190000,26,26,47,47,2.3,2.3,100000
total time: 3.06 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

79×10133+29

c126

name 名前Ignacio Santos
date 日付May 7, 2022 20:10:41 UTC 2022 年 5 月 8 日 (日) 5 時 10 分 41 秒 (日本時間)
composite number 合成数
363621623612471780925266299423739907443641458352740486792308468843444342108431704880772368193612272194079151312064695839123697<126>
prime factors 素因数
38948518561421999014901635534209051770519366325120427<53>
9335955179888003983078829999879811962948669886564951096056256345941037011<73>
factorization results 素因数分解の結果
N=363621623612471780925266299423739907443641458352740486792308468843444342108431704880772368193612272194079151312064695839123697
  ( 126 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=38948518561421999014901635534209051770519366325120427 (pp53)
 r2=9335955179888003983078829999879811962948669886564951096056256345941037011 (pp73)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.44 hours.
Scaled time: 19.18 units (timescale=7.849).
Factorization parameters were as follows:
n: 363621623612471780925266299423739907443641458352740486792308468843444342108431704880772368193612272194079151312064695839123697
m: 1000000000000000000000000000000000
deg: 4
c4: 395
c0: 1
skew: 0.22
# Murphy_E = 1.002e-08
type: snfs
lss: 1
rlim: 1230000
alim: 1230000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1230000/1230000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [615000, 1215001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 147643 x 147870
Total sieving time: 2.42 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,134.000,4,0,0,0,0,0,0,0,0,1230000,1230000,26,26,47,47,2.3,2.3,100000
total time: 2.44 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

79×10138+29

c132

name 名前Ignacio Santos
date 日付May 10, 2022 20:43:58 UTC 2022 年 5 月 11 日 (水) 5 時 43 分 58 秒 (日本時間)
composite number 合成数
868702099463839263456739834035673482635293809235174218645896637249774483835356276613486043684983283422549038948269625690340514288797<132>
prime factors 素因数
33848281556576456567579898437979062532397168260425379550207<59>
25664585010374248521075998065333284494522661695758615407519781802412566371<74>
factorization results 素因数分解の結果
N=868702099463839263456739834035673482635293809235174218645896637249774483835356276613486043684983283422549038948269625690340514288797
  ( 132 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=33848281556576456567579898437979062532397168260425379550207 (pp59)
 r2=25664585010374248521075998065333284494522661695758615407519781802412566371 (pp74)
Version: Msieve v. 1.52 (SVN 927)
Total time: 5.00 hours.
Scaled time: 39.15 units (timescale=7.837).
Factorization parameters were as follows:
n: 868702099463839263456739834035673482635293809235174218645896637249774483835356276613486043684983283422549038948269625690340514288797
m: 10000000000000000000000000000000000
deg: 4
c4: 3950
c0: 1
skew: 0.13
# Murphy_E = 4.359e-09
type: snfs
lss: 1
rlim: 1480000
alim: 1480000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1480000/1480000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [740000, 1240001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 219950 x 220175
Total sieving time: 4.96 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,139.000,4,0,0,0,0,0,0,0,0,1480000,1480000,26,26,48,48,2.3,2.3,100000
total time: 5.00 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

79×10139+29

c137

name 名前Bob Backstrom
date 日付May 8, 2022 15:28:04 UTC 2022 年 5 月 9 日 (月) 0 時 28 分 4 秒 (日本時間)
composite number 合成数
16555597468460538999958087095016555597468460538999958087095016555597468460538999958087095016555597468460538999958087095016555597468460539<137>
prime factors 素因数
713215275499530181863619079252399107280420076009942427796921<60>
23212623224965467963174819647608646597588762576635954142503559510997354898259<77>
factorization results 素因数分解の結果
Number: n
N=16555597468460538999958087095016555597468460538999958087095016555597468460538999958087095016555597468460538999958087095016555597468460539  ( 137 digits)
SNFS difficulty: 141 digits.
Divisors found:

Mon May  9 01:24:12 2022  p60 factor: 713215275499530181863619079252399107280420076009942427796921
Mon May  9 01:24:12 2022  p77 factor: 23212623224965467963174819647608646597588762576635954142503559510997354898259
Mon May  9 01:24:12 2022  elapsed time 00:03:02 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.328).
Factorization parameters were as follows:
#
# N = 79x10^139+2 = 87(138)8
#
n: 16555597468460538999958087095016555597468460538999958087095016555597468460538999958087095016555597468460538999958087095016555597468460539
m: 50000000000000000000000000000000000
deg: 4
c4: 316
c0: 5
skew: 0.35
# Murphy_E = 3.606e-09
type: snfs
lss: 1
rlim: 1580000
alim: 1580000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1580000/1580000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved  special-q in [100000, 6390000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 532483 hash collisions in 7118927 relations (7361098 unique)
Msieve: matrix is 223578 x 223826 (71.0 MB)

Sieving start time : 2022/05/09 01:03:30
Sieving end time  : 2022/05/09 01:20:57

Total sieving time: 0hrs 17min 27secs.

Total relation processing time: 0hrs 1min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 8sec.

Prototype def-par.txt line would be:
snfs,141,4,0,0,0,0,0,0,0,0,1580000,1580000,26,26,48,48,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118092] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154093] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798652)
[    0.152020] smpboot: Total of 16 processors activated (102389.21 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

79×10141+29

c120

name 名前Ignacio Santos
date 日付May 11, 2022 22:02:50 UTC 2022 年 5 月 12 日 (木) 7 時 2 分 50 秒 (日本時間)
composite number 合成数
645877486855399252048934528953154137353984938742318190879285435304025788635635962514607654863679772051366059797793363429<120>
prime factors 素因数
49560132358545815962718411303096996829660467977<47>
13032198586209556023140616032780392132478500945726251086368678929806759677<74>
factorization results 素因数分解の結果
N=645877486855399252048934528953154137353984938742318190879285435304025788635635962514607654863679772051366059797793363429
  ( 120 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=49560132358545815962718411303096996829660467977 (pp47)
 r2=13032198586209556023140616032780392132478500945726251086368678929806759677 (pp74)
Version: Msieve v. 1.52 (SVN 927)
Total time: 5.12 hours.
Scaled time: 39.25 units (timescale=7.669).
Factorization parameters were as follows:
n: 645877486855399252048934528953154137353984938742318190879285435304025788635635962514607654863679772051366059797793363429
m: 100000000000000000000000000000000000
deg: 4
c4: 395
c0: 1
skew: 0.22
# Murphy_E = 4.003e-09
type: snfs
lss: 1
rlim: 1670000
alim: 1670000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1670000/1670000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [835000, 1335001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 234005 x 234231
Total sieving time: 5.08 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,142.000,4,0,0,0,0,0,0,0,0,1670000,1670000,26,26,48,48,2.3,2.3,100000
total time: 5.12 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

79×10153+29

c120

name 名前Ignacio Santos
date 日付May 14, 2022 22:18:09 UTC 2022 年 5 月 15 日 (日) 7 時 18 分 9 秒 (日本時間)
composite number 合成数
601531090473340151677791104279379353226183790668610919232514922762995091445640223362925817095139584480910674083978367407<120>
prime factors 素因数
7887631434529960454476561183236247052391774044711<49>
76262575839940545873901313157644263809378217051611264376018165484622137<71>
factorization results 素因数分解の結果
N=601531090473340151677791104279379353226183790668610919232514922762995091445640223362925817095139584480910674083978367407
  ( 120 digits)
SNFS difficulty: 154 digits.
Divisors found:
 r1=7887631434529960454476561183236247052391774044711 (pp49)
 r2=76262575839940545873901313157644263809378217051611264376018165484622137 (pp71)
Version: Msieve v. 1.52 (SVN 927)
Total time: 9.44 hours.
Scaled time: 68.12 units (timescale=7.215).
Factorization parameters were as follows:
n: 601531090473340151677791104279379353226183790668610919232514922762995091445640223362925817095139584480910674083978367407
m: 1000000000000000000000000000000
deg: 5
c5: 39500
c0: 1
skew: 0.12
# Murphy_E = 1.068e-09
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1300000, 2000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 398904 x 399129
Total sieving time: 9.37 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,154.000,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 9.44 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62078Andreas TeteMay 14, 2022 15:49:43 UTC 2022 年 5 月 15 日 (日) 0 時 49 分 43 秒 (日本時間)
4511e63975Andreas TeteMay 14, 2022 18:30:29 UTC 2022 年 5 月 15 日 (日) 3 時 30 分 29 秒 (日本時間)

79×10154+29

c119

name 名前Ignacio Santos
date 日付May 15, 2022 09:31:21 UTC 2022 年 5 月 15 日 (日) 18 時 31 分 21 秒 (日本時間)
composite number 合成数
17326626905503429445599322013943745851525759948994883444738296816505670523943743637764155671174789633148340993102407961<119>
prime factors 素因数
55159676819831181383116590695000447430306953483106617537<56>
314117629116965851528452517999077839975936745915716211746430553<63>
factorization results 素因数分解の結果
N=17326626905503429445599322013943745851525759948994883444738296816505670523943743637764155671174789633148340993102407961
  ( 119 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=55159676819831181383116590695000447430306953483106617537 (pp56)
 r2=314117629116965851528452517999077839975936745915716211746430553 (pp63)
Version: Msieve v. 1.52 (SVN 927)
Total time: 11.51 hours.
Scaled time: 89.70 units (timescale=7.794).
Factorization parameters were as follows:
n: 17326626905503429445599322013943745851525759948994883444738296816505670523943743637764155671174789633148340993102407961
m: 5000000000000000000000000000000
deg: 5
c5: 632
c0: 5
skew: 0.38
# Murphy_E = 9.014e-10
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1400000, 2300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 426506 x 426732
Total sieving time: 11.43 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,156.000,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 11.51 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 14, 2022 14:01:48 UTC 2022 年 5 月 14 日 (土) 23 時 1 分 48 秒 (日本時間)

79×10156+29

c154

name 名前Bob Backstrom
date 日付May 9, 2022 06:33:26 UTC 2022 年 5 月 9 日 (月) 15 時 33 分 26 秒 (日本時間)
composite number 合成数
1535113287474252846760716645291671524620108040884536162605417589677820527768061870895029342038785900275931755470055574987369321052427033539310559247600171<154>
prime factors 素因数
759224220127595744972674257215971289020022645106322447021<57>
2021949836131756506822330479379891311249566576976447811318113096653914504351510454936165136100151<97>
factorization results 素因数分解の結果
Number: n
N=1535113287474252846760716645291671524620108040884536162605417589677820527768061870895029342038785900275931755470055574987369321052427033539310559247600171  ( 154 digits)
SNFS difficulty: 157 digits.
Divisors found:

Mon May  9 16:27:31 2022  p57 factor: 759224220127595744972674257215971289020022645106322447021
Mon May  9 16:27:31 2022  p97 factor: 2021949836131756506822330479379891311249566576976447811318113096653914504351510454936165136100151
Mon May  9 16:27:31 2022  elapsed time 00:06:26 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.343).
Factorization parameters were as follows:
#
# N = 79x10^156+2 = 87(155)8
#
n: 1535113287474252846760716645291671524620108040884536162605417589677820527768061870895029342038785900275931755470055574987369321052427033539310559247600171
m: 10000000000000000000000000000000
deg: 5
c5: 395
c0: 1
skew: 0.30
# Murphy_E = 9.251e-10
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1521755 hash collisions in 15803587 relations (15336635 unique)
Msieve: matrix is 386190 x 386438 (112.5 MB)

Sieving start time : 2022/05/09 15:35:29
Sieving end time  : 2022/05/09 16:20:34

Total sieving time: 0hrs 45min 5secs.

Total relation processing time: 0hrs 1min 49sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 39sec.

Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118092] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154093] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798652)
[    0.152020] smpboot: Total of 16 processors activated (102389.21 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

79×10157+29

c115

name 名前Taiyo Kodama
date 日付May 16, 2022 10:54:42 UTC 2022 年 5 月 16 日 (月) 19 時 54 分 42 秒 (日本時間)
composite number 合成数
1846578084598885762804605887917300001131827370955459484905135435251760994967941345809763964831075515448077303287273<115>
prime factors 素因数
101787719219310820324891560977611152627088393<45>
18141462435367735809178538493623895189171595272739744178683074844392161<71>
factorization results 素因数分解の結果
Mon May 16 18:11:53 2022  Msieve v. 1.53 (SVN unknown)
Mon May 16 18:11:53 2022  random seeds: eaaab870 cfad673e
Mon May 16 18:11:53 2022  factoring 1846578084598885762804605887917300001131827370955459484905135435251760994967941345809763964831075515448077303287273 (115 digits)
Mon May 16 18:11:53 2022  searching for 15-digit factors
Mon May 16 18:11:53 2022  commencing number field sieve (115-digit input)
Mon May 16 18:11:53 2022  R0: -10000000000000000000000000000000
Mon May 16 18:11:53 2022  R1: 1
Mon May 16 18:11:53 2022  A0: 1
Mon May 16 18:11:53 2022  A1: 0
Mon May 16 18:11:53 2022  A2: 0
Mon May 16 18:11:53 2022  A3: 0
Mon May 16 18:11:53 2022  A4: 0
Mon May 16 18:11:53 2022  A5: 3950
Mon May 16 18:11:53 2022  skew 0.19, size 4.660e-11, alpha -0.614, combined = 8.001e-10 rroots = 1
Mon May 16 18:11:53 2022  
Mon May 16 18:11:53 2022  commencing square root phase
Mon May 16 18:11:53 2022  reading relations for dependency 1
Mon May 16 18:11:53 2022  read 259460 cycles
Mon May 16 18:11:53 2022  cycles contain 899980 unique relations
Mon May 16 18:12:00 2022  read 899980 relations
Mon May 16 18:12:02 2022  multiplying 899980 relations
Mon May 16 18:12:17 2022  multiply complete, coefficients have about 28.84 million bits
Mon May 16 18:12:17 2022  initial square root is modulo 191237191
Mon May 16 18:12:35 2022  GCD is 1, no factor found
Mon May 16 18:12:35 2022  reading relations for dependency 2
Mon May 16 18:12:35 2022  read 259311 cycles
Mon May 16 18:12:35 2022  cycles contain 898958 unique relations
Mon May 16 18:12:42 2022  read 898958 relations
Mon May 16 18:12:44 2022  multiplying 898958 relations
Mon May 16 18:12:58 2022  multiply complete, coefficients have about 28.80 million bits
Mon May 16 18:12:59 2022  initial square root is modulo 187130261
Mon May 16 18:13:16 2022  sqrtTime: 83
Mon May 16 18:13:16 2022  p45 factor: 101787719219310820324891560977611152627088393
Mon May 16 18:13:16 2022  p71 factor: 18141462435367735809178538493623895189171595272739744178683074844392161
Mon May 16 18:13:16 2022  elapsed time 00:01:23
Mon May 16 18:13:16 2022 -> Computing time scale for this machine...
Mon May 16 18:13:16 2022 -> procrels -speedtest> PIPE

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62078Taiyo KodamaMay 13, 2022 13:32:33 UTC 2022 年 5 月 13 日 (金) 22 時 32 分 33 秒 (日本時間)

79×10159+29

c147

name 名前Bob Backstrom
date 日付May 9, 2022 11:23:50 UTC 2022 年 5 月 9 日 (月) 20 時 23 分 50 秒 (日本時間)
composite number 合成数
597203679788831851587466178118162946766990562553721192978617327634891022550424797314385476910105465668617054495003734166301291657847048134144195869<147>
prime factors 素因数
14221014862138473209689178702989840524970844302699366828873472617<65>
41994448749139964542710921717626282887279750621752708137048602884698655073632235157<83>
factorization results 素因数分解の結果
Number: n
N=597203679788831851587466178118162946766990562553721192978617327634891022550424797314385476910105465668617054495003734166301291657847048134144195869  ( 147 digits)
SNFS difficulty: 161 digits.
Divisors found:

Mon May  9 21:19:24 2022  p65 factor: 14221014862138473209689178702989840524970844302699366828873472617
Mon May  9 21:19:24 2022  p83 factor: 41994448749139964542710921717626282887279750621752708137048602884698655073632235157
Mon May  9 21:19:24 2022  elapsed time 00:07:14 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.315).
Factorization parameters were as follows:
#
# N = 79x10^159+2 = 87(158)8
#
n: 597203679788831851587466178118162946766990562553721192978617327634891022550424797314385476910105465668617054495003734166301291657847048134144195869
m: 50000000000000000000000000000000
deg: 5
c5: 632
c0: 5
skew: 0.38
# Murphy_E = 5.778e-10
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1401201 hash collisions in 17081582 relations (16444165 unique)
Msieve: matrix is 443547 x 443772 (148.0 MB)

Sieving start time : 2022/05/09 20:24:27
Sieving end time  : 2022/05/09 21:11:54

Total sieving time: 0hrs 47min 27secs.

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

Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118092] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154093] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798652)
[    0.152020] smpboot: Total of 16 processors activated (102389.21 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

79×10162+29

c157

name 名前Bob Backstrom
date 日付May 8, 2022 21:21:17 UTC 2022 年 5 月 9 日 (月) 6 時 21 分 17 秒 (日本時間)
composite number 合成数
5101146699035056758974176187408122859374816374861704038700527432740089343678717124885240342141011966773584118619353337318684906300975145534423893926109825493<157>
prime factors 素因数
42764083297397869624199788324959530746595110732399<50>
7883978888146712804017800248976361622629562993995927<52>
15130148609423902101876752249222837001217125020374202941<56>
factorization results 素因数分解の結果
Number: n
N=5101146699035056758974176187408122859374816374861704038700527432740089343678717124885240342141011966773584118619353337318684906300975145534423893926109825493  ( 157 digits)
SNFS difficulty: 163 digits.
Divisors found:

Mon May  9 07:14:18 2022  found factor: 7883978888146712804017800248976361622629562993995927
Mon May  9 07:15:10 2022  found factor: 7883978888146712804017800248976361622629562993995927
Mon May  9 07:16:02 2022  p50 factor: 42764083297397869624199788324959530746595110732399
Mon May  9 07:16:02 2022  p52 factor: 7883978888146712804017800248976361622629562993995927
Mon May  9 07:16:02 2022  p56 factor: 15130148609423902101876752249222837001217125020374202941
Mon May  9 07:16:02 2022  elapsed time 00:09:34 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 79x10^162+2 = 87(161)8
#
n: 5101146699035056758974176187408122859374816374861704038700527432740089343678717124885240342141011966773584118619353337318684906300975145534423893926109825493
m: 100000000000000000000000000000000
deg: 5
c5: 3950
c0: 1
skew: 0.19
# Murphy_E = 5.117e-10
type: snfs
lss: 1
rlim: 3700000
alim: 3700000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3700000/3700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 14650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1481825 hash collisions in 17207018 relations (16483380 unique)
Msieve: matrix is 474615 x 474841 (160.1 MB)

Sieving start time : 2022/05/09 06:11:05
Sieving end time  : 2022/05/09 07:06:11

Total sieving time: 0hrs 55min 6secs.

Total relation processing time: 0hrs 3min 31sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 10sec.

Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,3700000,3700000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118092] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154093] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798652)
[    0.152020] smpboot: Total of 16 processors activated (102389.21 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

79×10163+29

c132

name 名前Taiyo Kodama
date 日付May 19, 2022 09:44:36 UTC 2022 年 5 月 19 日 (木) 18 時 44 分 36 秒 (日本時間)
composite number 合成数
827738632078633014575235572371151266286717904266171161608817970845557794471064800823662292866285653949761576304326222796040771478183<132>
prime factors 素因数
53627326529878761528855100935130796804424327297179<50>
15435015795863958618494709551450147685051965807645888977798980856049612263053672677<83>
factorization results 素因数分解の結果
Thu May 19 18:38:07 2022  Msieve v. 1.53 (SVN unknown)
Thu May 19 18:38:07 2022  random seeds: 5dd70424 5e3ce3ca
Thu May 19 18:38:07 2022  factoring 827738632078633014575235572371151266286717904266171161608817970845557794471064800823662292866285653949761576304326222796040771478183 (132 digits)
Thu May 19 18:38:08 2022  searching for 15-digit factors
Thu May 19 18:38:08 2022  commencing number field sieve (132-digit input)
Thu May 19 18:38:08 2022  R0: -100000000000000000000000000000000
Thu May 19 18:38:08 2022  R1: 1
Thu May 19 18:38:08 2022  A0: 1
Thu May 19 18:38:08 2022  A1: 0
Thu May 19 18:38:08 2022  A2: 0
Thu May 19 18:38:08 2022  A3: 0
Thu May 19 18:38:08 2022  A4: 0
Thu May 19 18:38:08 2022  A5: 39500
Thu May 19 18:38:08 2022  skew 0.12, size 1.647e-11, alpha -1.178, combined = 4.388e-10 rroots = 1
Thu May 19 18:38:08 2022  
Thu May 19 18:38:08 2022  commencing square root phase
Thu May 19 18:38:08 2022  reading relations for dependency 1
Thu May 19 18:38:08 2022  read 317107 cycles
Thu May 19 18:38:09 2022  cycles contain 1077948 unique relations
Thu May 19 18:38:17 2022  read 1077948 relations
Thu May 19 18:38:20 2022  multiplying 1077948 relations
Thu May 19 18:38:43 2022  multiply complete, coefficients have about 38.01 million bits
Thu May 19 18:38:43 2022  initial square root is modulo 286831
Thu May 19 18:39:11 2022  GCD is 1, no factor found
Thu May 19 18:39:11 2022  reading relations for dependency 2
Thu May 19 18:39:11 2022  read 316798 cycles
Thu May 19 18:39:11 2022  cycles contain 1077326 unique relations
Thu May 19 18:39:19 2022  read 1077326 relations
Thu May 19 18:39:22 2022  multiplying 1077326 relations
Thu May 19 18:39:45 2022  multiply complete, coefficients have about 37.99 million bits
Thu May 19 18:39:45 2022  initial square root is modulo 285031
Thu May 19 18:40:12 2022  sqrtTime: 124
Thu May 19 18:40:12 2022  p50 factor: 53627326529878761528855100935130796804424327297179
Thu May 19 18:40:12 2022  p83 factor: 15435015795863958618494709551450147685051965807645888977798980856049612263053672677
Thu May 19 18:40:12 2022  elapsed time 00:02:05
Thu May 19 18:40:12 2022 -> Computing time scale for this machine...
Thu May 19 18:40:12 2022 -> procrels -speedtest> PIPE

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 14, 2022 12:23:08 UTC 2022 年 5 月 14 日 (土) 21 時 23 分 8 秒 (日本時間)

79×10166+29

c167

name 名前Bob Backstrom
date 日付May 8, 2022 18:45:13 UTC 2022 年 5 月 9 日 (月) 3 時 45 分 13 秒 (日本時間)
composite number 合成数
43888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<167>
prime factors 素因数
35280394399772587738011024198624348455215555888966068926349962465503267<71>
1244002218103655616934575550993939043769524174676410306121140140223953444493915650148271502510067<97>
factorization results 素因数分解の結果
Number: n
N=43888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889  ( 167 digits)
SNFS difficulty: 167 digits.
Divisors found:

Mon May  9 04:37:13 2022  p71 factor: 35280394399772587738011024198624348455215555888966068926349962465503267
Mon May  9 04:37:13 2022  p97 factor: 1244002218103655616934575550993939043769524174676410306121140140223953444493915650148271502510067
Mon May  9 04:37:13 2022  elapsed time 00:45:50 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.804).
Factorization parameters were as follows:
#
# N = 79x10^166+2 = 87(165)8
#
n: 43888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889
m: 1000000000000000000000000000000000
deg: 5
c5: 395
c0: 1
skew: 0.30
# Murphy_E = 3.77e-10
type: snfs
lss: 1
rlim: 4300000
alim: 4300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4300000/4300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 14950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2603529 hash collisions in 16708681 relations (14866418 unique)
Msieve: matrix is 586395 x 586621 (198.0 MB)

Sieving start time : 2022/05/09 02:02:09
Sieving end time  : 2022/05/09 03:50:59

Total sieving time: 1hrs 48min 50secs.

Total relation processing time: 0hrs 36min 58sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 49sec.

Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,4300000,4300000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118092] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154093] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798652)
[    0.152020] smpboot: Total of 16 processors activated (102389.21 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

79×10167+29

c144

name 名前Bob Backstrom
date 日付May 13, 2022 07:40:33 UTC 2022 年 5 月 13 日 (金) 16 時 40 分 33 秒 (日本時間)
composite number 合成数
740494338113515602930658942148907424509645902137346362918744442158463930498660550415436918944324813527185667195127405313964005062624955049331117<144>
prime factors 素因数
33901440165369303286774759893989394307079793990909814721<56>
21842562867578079265119562891082530845552993351879297388354275589939489640251234219965677<89>
factorization results 素因数分解の結果
Number: n
N=740494338113515602930658942148907424509645902137346362918744442158463930498660550415436918944324813527185667195127405313964005062624955049331117  ( 144 digits)
SNFS difficulty: 168 digits.
Divisors found:

Fri May 13 17:34:47 2022  p56 factor: 33901440165369303286774759893989394307079793990909814721
Fri May 13 17:34:47 2022  p89 factor: 21842562867578079265119562891082530845552993351879297388354275589939489640251234219965677
Fri May 13 17:34:47 2022  elapsed time 00:08:41 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.319).
Factorization parameters were as follows:
#
# N = 79x10^167+2 = 87(166)8
#
n: 740494338113515602930658942148907424509645902137346362918744442158463930498660550415436918944324813527185667195127405313964005062624955049331117
m: 1000000000000000000000000000000000
deg: 5
c5: 3950
c0: 1
skew: 0.19
# Murphy_E = 3.257e-10
type: snfs
lss: 1
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1609594 hash collisions in 14838449 relations (14143796 unique)
Msieve: matrix is 528307 x 528533 (183.7 MB)

Sieving start time : 2022/05/13 16:19:25
Sieving end time  : 2022/05/13 17:25:29

Total sieving time: 1hrs 6min 4secs.

Total relation processing time: 0hrs 4min 1sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 10sec.

Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119221] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153514] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152035] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 10, 2022 20:10:28 UTC 2022 年 5 月 11 日 (水) 5 時 10 分 28 秒 (日本時間)

79×10168+29

c156

name 名前Bob Backstrom
date 日付May 10, 2022 17:10:24 UTC 2022 年 5 月 11 日 (水) 2 時 10 分 24 秒 (日本時間)
composite number 合成数
886540961420943775868196498413818813253511719935282271552664483364947950206428097992218625667762434010469140043476884083446049165152422259573244750504918269<156>
prime factors 素因数
573469250394105652383577886565916546764286385025045300834930002310328663<72>
1545925890205421902520711092762662765424824249327684550038539443393034338538437487563<85>
factorization results 素因数分解の結果
Number: n
N=886540961420943775868196498413818813253511719935282271552664483364947950206428097992218625667762434010469140043476884083446049165152422259573244750504918269  ( 156 digits)
SNFS difficulty: 169 digits.
Divisors found:

Wed May 11 03:06:45 2022  p72 factor: 573469250394105652383577886565916546764286385025045300834930002310328663
Wed May 11 03:06:45 2022  p85 factor: 1545925890205421902520711092762662765424824249327684550038539443393034338538437487563
Wed May 11 03:06:45 2022  elapsed time 00:09:11 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.332).
Factorization parameters were as follows:
#
# N = 79x10^168+2 = 87(167)8
#
n: 886540961420943775868196498413818813253511719935282271552664483364947950206428097992218625667762434010469140043476884083446049165152422259573244750504918269
m: 1000000000000000000000000000000000
deg: 5
c5: 39500
c0: 1
skew: 0.12
# Murphy_E = 2.792e-10
type: snfs
lss: 1
rlim: 4700000
alim: 4700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4700000/4700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 7950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1704497 hash collisions in 14920879 relations (14114609 unique)
Msieve: matrix is 571262 x 571488 (197.1 MB)

Sieving start time : 2022/05/11 02:00:36
Sieving end time  : 2022/05/11 02:57:02

Total sieving time: 0hrs 56min 26secs.

Total relation processing time: 0hrs 4min 59sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 42sec.

Prototype def-par.txt line would be:
snfs,169,5,0,0,0,0,0,0,0,0,4700000,4700000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119221] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153514] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152035] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

79×10171+29

c144

name 名前Bob Backstrom
date 日付May 13, 2022 06:21:48 UTC 2022 年 5 月 13 日 (金) 15 時 21 分 48 秒 (日本時間)
composite number 合成数
890055679574243339774037484038691146022292670277626369162051702071242982449373908504240667069245679552599021010302605633881402386226661104519611<144>
prime factors 素因数
32467619214480161188264867241815826979609519686685593<53>
27413641686954656330008849181995686163179304580795083499052667648418078549285499639008730227<92>
factorization results 素因数分解の結果
Number: n
N=890055679574243339774037484038691146022292670277626369162051702071242982449373908504240667069245679552599021010302605633881402386226661104519611  ( 144 digits)
SNFS difficulty: 172 digits.
Divisors found:

Fri May 13 16:17:34 2022  p53 factor: 32467619214480161188264867241815826979609519686685593
Fri May 13 16:17:34 2022  p92 factor: 27413641686954656330008849181995686163179304580795083499052667648418078549285499639008730227
Fri May 13 16:17:34 2022  elapsed time 00:10:15 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# N = 79x10^171+2 = 87(170)8
#
n: 890055679574243339774037484038691146022292670277626369162051702071242982449373908504240667069245679552599021010302605633881402386226661104519611
m: 10000000000000000000000000000000000
deg: 5
c5: 395
c0: 1
skew: 0.30
# Murphy_E = 2.389e-10
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1666685 hash collisions in 14763009 relations (13988576 unique)
Msieve: matrix is 625508 x 625734 (217.2 MB)

Sieving start time : 2022/05/13 15:17:15
Sieving end time  : 2022/05/13 16:07:02

Total sieving time: 0hrs 49min 47secs.

Total relation processing time: 0hrs 6min 1sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 40sec.

Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119221] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153514] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152035] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 10, 2022 17:24:48 UTC 2022 年 5 月 11 日 (水) 2 時 24 分 48 秒 (日本時間)

79×10172+29

c164

name 名前Bob Backstrom
date 日付May 11, 2022 03:06:32 UTC 2022 年 5 月 11 日 (水) 12 時 6 分 32 秒 (日本時間)
composite number 合成数
10948681896486691572019213698612579834170819950536666369693232997260823367018524531613150918056058882746768983415048616939123935179369483276167095577662738779665929<164>
prime factors 素因数
366006769132661344777810408610356680009066887<45>
29913878157041069008717094596332137870085487159274412883553090237308861040799818723357007745691648147409390886219843567<119>
factorization results 素因数分解の結果
Number: n
N=10948681896486691572019213698612579834170819950536666369693232997260823367018524531613150918056058882746768983415048616939123935179369483276167095577662738779665929  ( 164 digits)
SNFS difficulty: 173 digits.
Divisors found:

Wed May 11 13:02:46 2022  p45 factor: 366006769132661344777810408610356680009066887
Wed May 11 13:02:46 2022  p119 factor: 29913878157041069008717094596332137870085487159274412883553090237308861040799818723357007745691648147409390886219843567
Wed May 11 13:02:46 2022  elapsed time 00:12:46 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.330).
Factorization parameters were as follows:
#
# N = 79x10^172+2 = 87(171)8
#
n: 10948681896486691572019213698612579834170819950536666369693232997260823367018524531613150918056058882746768983415048616939123935179369483276167095577662738779665929
m: 10000000000000000000000000000000000
deg: 5
c5: 3950
c0: 1
skew: 0.19
# Murphy_E = 2.063e-10
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1707221 hash collisions in 14830779 relations (14009164 unique)
Msieve: matrix is 676316 x 676543 (235.0 MB)

Sieving start time : 2022/05/11 11:07:31
Sieving end time  : 2022/05/11 12:49:21

Total sieving time: 1hrs 41min 50secs.

Total relation processing time: 0hrs 6min 38sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 30sec.

Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119221] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153514] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152035] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

79×10174+29

c169

name 名前Bob Backstrom
date 日付May 12, 2022 08:21:39 UTC 2022 年 5 月 12 日 (木) 17 時 21 分 39 秒 (日本時間)
composite number 合成数
1269649881027377540742180748707070525900873644475983190349863756924855273574352738115683361405452918023464351236714520252828112966953520753584454651143766506051135261459<169>
prime factors 素因数
4822455632137974165641885808478406170108171307992573741465194544560682204451<76>
263278706509217684157699785873190167139474349191527051612495205713985387170112016644738691409<93>
factorization results 素因数分解の結果
Number: n
N=1269649881027377540742180748707070525900873644475983190349863756924855273574352738115683361405452918023464351236714520252828112966953520753584454651143766506051135261459  ( 169 digits)
SNFS difficulty: 176 digits.
Divisors found:

Thu May 12 18:15:03 2022  p76 factor: 4822455632137974165641885808478406170108171307992573741465194544560682204451
Thu May 12 18:15:03 2022  p93 factor: 263278706509217684157699785873190167139474349191527051612495205713985387170112016644738691409
Thu May 12 18:15:03 2022  elapsed time 00:17:24 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.338).
Factorization parameters were as follows:
#
# N = 79x10^174+2 = 87(173)8
#
n: 1269649881027377540742180748707070525900873644475983190349863756924855273574352738115683361405452918023464351236714520252828112966953520753584454651143766506051135261459
m: 50000000000000000000000000000000000
deg: 5
c5: 632
c0: 5
skew: 0.38
# Murphy_E = 1.478e-10
type: snfs
lss: 1
rlim: 6100000
alim: 6100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6100000/6100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 15850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4131237 hash collisions in 30938493 relations (28484714 unique)
Msieve: matrix is 787707 x 787933 (267.8 MB)

Sieving start time : 2022/05/12 16:32:31
Sieving end time  : 2022/05/12 17:57:11

Total sieving time: 1hrs 24min 40secs.

Total relation processing time: 0hrs 8min 47sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 31sec.

Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,6100000,6100000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119221] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153514] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152035] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 11, 2022 18:55:08 UTC 2022 年 5 月 12 日 (木) 3 時 55 分 8 秒 (日本時間)

79×10177+29

c117

name 名前Eric Jeancolas
date 日付May 10, 2022 03:52:57 UTC 2022 年 5 月 10 日 (火) 12 時 52 分 57 秒 (日本時間)
composite number 合成数
505216898543859495780227074627245209377819410652591132127095616681280065297228925712226495711107574947448916572401013<117>
prime factors 素因数
2043785499302446384606090885331349144203143429<46>
247196635222381410570144745722467736427862526169152474617057035171339697<72>
factorization results 素因数分解の結果
505216898543859495780227074627245209377819410652591132127095616681280065297228925712226495711107574947448916572401013=2043785499302446384606090885331349144203143429*247196635222381410570144745722467736427862526169152474617057035171339697

cado polynomial
n: 505216898543859495780227074627245209377819410652591132127095616681280065297228925712226495711107574947448916572401013
skew: 66766.431
c0: -648404146981109505887180649
c1: 228103132208469417112929
c2: 7313133654500123131
c3: -110565028168421
c4: -327951050
c5: 5100
Y0: -54834982045195592951684
Y1: 802338565098787
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 8.663e-07
# f(x) = 5100*x^5-327951050*x^4-110565028168421*x^3+7313133654500123131*x^2+228103132208469417112929*x-648404146981109505887180649
# g(x) = 802338565098787*x-54834982045195592951684

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: 2043785499302446384606090885331349144203143429 247196635222381410570144745722467736427862526169152474617057035171339697
Info:Square Root: Total cpu/real time for sqrt: 142.94/43.1289
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 131.28/141.766
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 105.30000000000001s
Info:Square Root: Total cpu/real time for sqrt: 142.94/43.1289
Info:Filtering - Singleton removal: Total cpu/real time for purge: 98.25/112.764
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7584238
Info:Lattice Sieving: Average J: 1906.16 for 196894 special-q, max bucket fill -bkmult 1.0,1s:1.266960
Info:Lattice Sieving: Total time: 21618.3s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.05/1.09376
Info:Generate Free Relations: Total cpu/real time for freerel: 64.01/16.9522
Info:Linear Algebra: Total cpu/real time for bwc: 2914.02/752.71
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1804.02, WCT time 461.97, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14848 iterations)
Info:Linear Algebra: Lingen CPU time 74.99, WCT time 19.11
Info:Linear Algebra: Mksol: CPU time 995.87,  WCT time 255.55, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7424 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 30.63/32.8154
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 31.899999999999995s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 388.45
Info:Polynomial Selection (root optimized): Rootsieve time: 387.3
Info:Filtering - Merging: Merged matrix has 472356 rows and total weight 73411773 (155.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 78.1/23.1599
Info:Filtering - Merging: Total cpu/real time for replay: 16.06/13.077
Info:Quadratic Characters: Total cpu/real time for characters: 17.22/6.75549
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): 21820/33.760/41.688/47.450/1.059
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 17366/32.700/36.915/42.110/0.859
Info:Polynomial Selection (size optimized): Total time: 1804.51
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 45457.5/12449.9
Info:root: Cleaning up computation data in /tmp/cado.src46uw1
2043785499302446384606090885331349144203143429 247196635222381410570144745722467736427862526169152474617057035171339697
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 7, 2022 21:49:30 UTC 2022 年 5 月 8 日 (日) 6 時 49 分 30 秒 (日本時間)

79×10179+29

c129

name 名前Ignacio Santos
date 日付May 12, 2022 15:56:25 UTC 2022 年 5 月 13 日 (金) 0 時 56 分 25 秒 (日本時間)
composite number 合成数
271003120104188094209343719624914707514536250449793833278406625724970484342168815770418322999293052403611777077553319049209120113<129>
prime factors 素因数
4126992712754309790924059120832792434689<40>
65666004029196256171935364399367575317290897856669204467379186146220102380665842825653617<89>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1860440028
Step 1 took 4813ms
Step 2 took 2984ms
********** Factor found in step 2: 4126992712754309790924059120832792434689
Found prime factor of 40 digits: 4126992712754309790924059120832792434689
Prime cofactor 65666004029196256171935364399367575317290897856669204467379186146220102380665842825653617 has 89 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 JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

79×10180+29

c149

name 名前Eric Jeancolas
date 日付June 27, 2022 22:21:53 UTC 2022 年 6 月 28 日 (火) 7 時 21 分 53 秒 (日本時間)
composite number 合成数
21067953030768604741639284011278996331215014409712350772131911618481384241077039802475542623461761931105102430245852113888726685187606978508583703813<149>
prime factors 素因数
2478680548090915732506703861447610088533398820317344527311<58>
8499664487622328134995265348915124102496613496233052917061293367171319026420600174257167083<91>
factorization results 素因数分解の結果
21067953030768604741639284011278996331215014409712350772131911618481384241077039802475542623461761931105102430245852113888726685187606978508583703813=2478680548090915732506703861447610088533398820317344527311*8499664487622328134995265348915124102496613496233052917061293367171319026420600174257167083

cado polynomial
n: 21067953030768604741639284011278996331215014409712350772131911618481384241077039802475542623461761931105102430245852113888726685187606978508583703813
skew: 0.48
type: snfs
c0: 2
c5: 79
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 79*x^5+2
# g(x) = -x+1000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 7500000
tasks.lim1 = 7500000
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: 2478680548090915732506703861447610088533398820317344527311 8499664487622328134995265348915124102496613496233052917061293367171319026420600174257167083
Info:Square Root: Total cpu/real time for sqrt: 238.61/76.0498
Info:Filtering - Singleton removal: Total cpu/real time for purge: 121.47/124.876
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22416239
Info:Lattice Sieving: Average J: 1894.01 for 944333 special-q, max bucket fill -bkmult 1.0,1s:1.162440
Info:Lattice Sieving: Total time: 162673s
Info:Linear Algebra: Total cpu/real time for bwc: 18204.8/4675.11
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 11540.48, WCT time 2953.05, iteration CPU time 0.08, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (33792 iterations)
Info:Linear Algebra: Lingen CPU time 214.17, WCT time 54.26
Info:Linear Algebra: Mksol: CPU time 6273.43,  WCT time 1602.53, iteration CPU time 0.09, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (16896 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 118.44/30.95
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 90.37/103.696
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 103.6s
Info:Filtering - Merging: Merged matrix has 1077230 rows and total weight 183353870 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 261.2/73.0138
Info:Filtering - Merging: Total cpu/real time for replay: 38.18/32.2206
Info:Generate Factor Base: Total cpu/real time for makefb: 3.25/1.83336
Info:Quadratic Characters: Total cpu/real time for characters: 35.95/14.2353
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 216.23/185.918
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 167.3s
Info:Square Root: Total cpu/real time for sqrt: 238.61/76.0498
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 322859/86970.5
Info:root: Cleaning up computation data in /tmp/cado.y6qfodaf
2478680548090915732506703861447610088533398820317344527311 8499664487622328134995265348915124102496613496233052917061293367171319026420600174257167083
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 13, 2022 18:31:29 UTC 2022 年 5 月 14 日 (土) 3 時 31 分 29 秒 (日本時間)

79×10181+29

c142

name 名前Bob Backstrom
date 日付June 27, 2022 21:05:22 UTC 2022 年 6 月 28 日 (火) 6 時 5 分 22 秒 (日本時間)
composite number 合成数
1969805876245998967603643142086585213027820183082458381528013064170623285571497415207658405699054943551854560097913911403199205043301102619003<142>
prime factors 素因数
6357972160352418144684816560407985539361083727<46>
309816687863070785335830223458941175078415838595332157903978458089498696794530735886021200019989<96>
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 1969805876245998967603643142086585213027820183082458381528013064170623285571497415207658405699054943551854560097913911403199205043301102619003 (142 digits)
Using B1=18120000, B2=58560416470, polynomial Dickson(12), sigma=1:2924412590
Step 1 took 35006ms
Step 2 took 14257ms
********** Factor found in step 2: 6357972160352418144684816560407985539361083727
Found prime factor of 46 digits: 6357972160352418144684816560407985539361083727
Prime cofactor 309816687863070785335830223458941175078415838595332157903978458089498696794530735886021200019989 has 96 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 13, 2022 18:39:46 UTC 2022 年 5 月 14 日 (土) 3 時 39 分 46 秒 (日本時間)

79×10182+29

c169

name 名前Bob Backstrom
date 日付May 15, 2022 02:57:25 UTC 2022 年 5 月 15 日 (日) 11 時 57 分 25 秒 (日本時間)
composite number 合成数
2389516464311619583639370711502866678977192279451683978566311557732236113921850824148200915563480382626899189886477228250248663395620369915000670514339751688693988925437<169>
prime factors 素因数
576047510818607089537743744640425841716359414807963992772683265138739196585783<78>
4148123929770889776865374349236725192967228792074461285505254586277858455452404515141215339<91>
factorization results 素因数分解の結果
<pre>Number: n
N=2389516464311619583639370711502866678977192279451683978566311557732236113921850824148200915563480382626899189886477228250248663395620369915000670514339751688693988925437  ( 169 digits)
SNFS difficulty: 183 digits.
Divisors found:

Sun May 15 12:53:18 2022  p78 factor: 576047510818607089537743744640425841716359414807963992772683265138739196585783
Sun May 15 12:53:18 2022  p91 factor: 4148123929770889776865374349236725192967228792074461285505254586277858455452404515141215339
Sun May 15 12:53:18 2022  elapsed time 00:20:27 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.317).
Factorization parameters were as follows:
#
# N = 79x10^182+2 = 87(181)8
#
n: 2389516464311619583639370711502866678977192279451683978566311557732236113921850824148200915563480382626899189886477228250248663395620369915000670514339751688693988925437
m: 1000000000000000000000000000000000000
deg: 5
c5: 3950
c0: 1
skew: 0.19
# Murphy_E = 8.167e-11
type: snfs
lss: 1
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 9600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3384267 hash collisions in 30513582 relations (28983422 unique)
Msieve: matrix is 880173 x 880398 (302.5 MB)

Sieving start time : 2022/05/15 10:33:52
Sieving end time  : 2022/05/15 12:32:20

Total sieving time: 1hrs 58min 28secs.

Total relation processing time: 0hrs 11min 56sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 0sec.

Prototype def-par.txt line would be:
snfs,183,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119221] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153514] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152035] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)</pre>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 13, 2022 19:10:55 UTC 2022 年 5 月 14 日 (土) 4 時 10 分 55 秒 (日本時間)

79×10184+29

c112

name 名前Eric Jeancolas
date 日付May 9, 2022 13:25:47 UTC 2022 年 5 月 9 日 (月) 22 時 25 分 47 秒 (日本時間)
composite number 合成数
3425211942481505698550165472910042369251323168922335230976702530749079481200209297186439849982551492634409660517<112>
prime factors 素因数
160421381900873908384487422547822409029083<42>
21351342956252433210841390965000292334421925021146232726654250641131199<71>
factorization results 素因数分解の結果
3425211942481505698550165472910042369251323168922335230976702530749079481200209297186439849982551492634409660517=160421381900873908384487422547822409029083*21351342956252433210841390965000292334421925021146232726654250641131199

cado polynomial
n: 3425211942481505698550165472910042369251323168922335230976702530749079481200209297186439849982551492634409660517
skew: 12617.052
c0: -893405818072868034661245
c1: 77918348424662747403
c2: 348101506069166156
c3: -853716185684
c4: -920008290
c5: 18600
Y0: -3916596290404213514560
Y1: 72809748320291
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.335e-06
# f(x) = 18600*x^5-920008290*x^4-853716185684*x^3+348101506069166156*x^2+77918348424662747403*x-893405818072868034661245
# g(x) = 72809748320291*x-3916596290404213514560

cado parameters (extracts)
tasks.lim0 = 1400000
tasks.lim1 = 2500000
tasks.lpb0 = 25
tasks.lpb1 = 26
tasks.sieve.mfb0 = 50
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: 160421381900873908384487422547822409029083 21351342956252433210841390965000292334421925021146232726654250641131199
Info:Square Root: Total cpu/real time for sqrt: 175.4/51.5829
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 92.86/101.149
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 72.90000000000002s
Info:Square Root: Total cpu/real time for sqrt: 175.4/51.5829
Info:Filtering - Singleton removal: Total cpu/real time for purge: 72.03/82.0316
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5555060
Info:Lattice Sieving: Average J: 1898.23 for 120593 special-q, max bucket fill -bkmult 1.0,1s:1.312110
Info:Lattice Sieving: Total time: 11069.3s
Info:Generate Factor Base: Total cpu/real time for makefb: 2.3/0.615008
Info:Linear Algebra: Total cpu/real time for bwc: 1404.68/365.03
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 866.9, WCT time 223.55, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9984 iterations)
Info:Linear Algebra: Lingen CPU time 46.95, WCT time 12.0
Info:Linear Algebra: Mksol: CPU time 464.27,  WCT time 118.97, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4992 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 62.78/16.4453
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 21.71/23.3719
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 22.400000000000002s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 245.03
Info:Polynomial Selection (root optimized): Rootsieve time: 244.04
Info:Filtering - Merging: Merged matrix has 318621 rows and total weight 49561950 (155.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 49.91/14.9627
Info:Filtering - Merging: Total cpu/real time for replay: 10.67/8.6339
Info:Quadratic Characters: Total cpu/real time for characters: 11.93/4.6436
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11711.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11921/31.570/39.713/45.890/1.092
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 9460/31.290/35.157/40.240/0.900
Info:Polynomial Selection (size optimized): Total time: 704.31
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 22952.5/6416.62
Info:root: Cleaning up computation data in /tmp/cado.mda_3nax
160421381900873908384487422547822409029083 21351342956252433210841390965000292334421925021146232726654250641131199
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 7, 2022 22:14:56 UTC 2022 年 5 月 8 日 (日) 7 時 14 分 56 秒 (日本時間)

79×10185+29

c177

name 名前Bob Backstrom
date 日付May 14, 2022 19:07:06 UTC 2022 年 5 月 15 日 (日) 4 時 7 分 6 秒 (日本時間)
composite number 合成数
273729690047955973257887426720586096241301820967962318733438565046773383035892585029917107336766342029830712217604160498804782835299213225314477855726173883921766718229017503151<177>
prime factors 素因数
236568994720962616564784597431895257525971233596628879233957732628792497<72>
1157081849930609313713757055680506091279011515151564946319731685486780974820248592426583227454683490674783<106>
factorization results 素因数分解の結果
Number: n
N=273729690047955973257887426720586096241301820967962318733438565046773383035892585029917107336766342029830712217604160498804782835299213225314477855726173883921766718229017503151  ( 177 digits)
SNFS difficulty: 186 digits.
Divisors found:

Sun May 15 05:02:57 2022  p72 factor: 236568994720962616564784597431895257525971233596628879233957732628792497
Sun May 15 05:02:57 2022  p106 factor: 1157081849930609313713757055680506091279011515151564946319731685486780974820248592426583227454683490674783
Sun May 15 05:02:57 2022  elapsed time 00:25:43 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.326).
Factorization parameters were as follows:
#
# N = 79x10^185+2 = 87(184)8
#
n: 273729690047955973257887426720586096241301820967962318733438565046773383035892585029917107336766342029830712217604160498804782835299213225314477855726173883921766718229017503151
m: 10000000000000000000000000000000000000
deg: 5
c5: 79
c0: 2
skew: 0.48
# Murphy_E = 6.122e-11
type: snfs
lss: 1
rlim: 9100000
alim: 9100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9100000/9100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 10150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2995869 hash collisions in 28852792 relations (27632414 unique)
Msieve: matrix is 1023478 x 1023703 (354.2 MB)

Sieving start time : 2022/05/15 01:36:17
Sieving end time  : 2022/05/15 04:36:46

Total sieving time: 3hrs 0min 29secs.

Total relation processing time: 0hrs 17min 23sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 10sec.

Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,9100000,9100000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119221] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153514] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152035] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

79×10186+29

c158

name 名前Bob Backstrom
date 日付May 17, 2022 07:58:49 UTC 2022 年 5 月 17 日 (火) 16 時 58 分 49 秒 (日本時間)
composite number 合成数
50089640539182707079298377093794790776000758262205685536493767146157077973127425695693863453633782273714567497814760952881117835863301939891679688776531287641<158>
prime factors 素因数
13031009929749185236308759351065319578609<41>
3843880160418756504883674484609720703384807169146936858119812315926388527482178339733937896100608573751185996917846249<118>
factorization results 素因数分解の結果
Number: n
N=50089640539182707079298377093794790776000758262205685536493767146157077973127425695693863453633782273714567497814760952881117835863301939891679688776531287641  ( 158 digits)
SNFS difficulty: 187 digits.
Divisors found:

Tue May 17 17:54:31 2022  p41 factor: 13031009929749185236308759351065319578609
Tue May 17 17:54:31 2022  p118 factor: 3843880160418756504883674484609720703384807169146936858119812315926388527482178339733937896100608573751185996917846249
Tue May 17 17:54:31 2022  elapsed time 00:32:41 (Msieve 1.54 - dependency 8)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.342).
Factorization parameters were as follows:
#
# N = 79x10^186+2 = 87(185)8
#
n: 50089640539182707079298377093794790776000758262205685536493767146157077973127425695693863453633782273714567497814760952881117835863301939891679688776531287641
m: 10000000000000000000000000000000000000
deg: 5
c5: 395
c0: 1
skew: 0.30
# Murphy_E = 5.919e-11
type: snfs
lss: 1
rlim: 9400000
alim: 9400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9400000/9400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 10300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3061840 hash collisions in 29419733 relations (28179238 unique)
Msieve: matrix is 983223 x 983448 (340.3 MB)

Sieving start time : 2022/05/17 14:25:13
Sieving end time  : 2022/05/17 17:21:21

Total sieving time: 2hrs 56min 8secs.

Total relation processing time: 0hrs 15min 27sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 15sec.

Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,9400000,9400000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119221] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153514] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152035] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 15, 2022 16:07:37 UTC 2022 年 5 月 16 日 (月) 1 時 7 分 37 秒 (日本時間)

79×10187+29

c173

name 名前Bob Backstrom
date 日付May 16, 2022 00:29:54 UTC 2022 年 5 月 16 日 (月) 9 時 29 分 54 秒 (日本時間)
composite number 合成数
67063531147327695481792724334026475829052950351776677498574883791269553791151880201157095078387538665882021247409694705765279150271757091106104745910405356911396441568672327<173>
prime factors 素因数
19886965596804837764451803102061985544062696609856460145786854019899292156211692408237<86>
3372235488661102474302972531283751620078931088909601989868214928983876569872525092437571<88>
factorization results 素因数分解の結果
Number: n
N=67063531147327695481792724334026475829052950351776677498574883791269553791151880201157095078387538665882021247409694705765279150271757091106104745910405356911396441568672327  ( 173 digits)
SNFS difficulty: 188 digits.
Divisors found:

Mon May 16 10:23:20 2022  p86 factor: 19886965596804837764451803102061985544062696609856460145786854019899292156211692408237
Mon May 16 10:23:20 2022  p88 factor: 3372235488661102474302972531283751620078931088909601989868214928983876569872525092437571
Mon May 16 10:23:20 2022  elapsed time 00:29:04 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 79x10^187+2 = 87(186)8
#
n: 67063531147327695481792724334026475829052950351776677498574883791269553791151880201157095078387538665882021247409694705765279150271757091106104745910405356911396441568672327
m: 10000000000000000000000000000000000000
deg: 5
c5: 3950
c0: 1
skew: 0.19
# Murphy_E = 5.105e-11
type: snfs
lss: 1
rlim: 9700000
alim: 9700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9700000/9700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3237376 hash collisions in 29664671 relations (28226654 unique)
Msieve: matrix is 1035278 x 1035504 (362.0 MB)

Sieving start time : 2022/05/16 06:28:23
Sieving end time  : 2022/05/16 09:53:36

Total sieving time: 3hrs 25min 13secs.

Total relation processing time: 0hrs 17min 34sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 3sec.

Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,9700000,9700000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119221] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153514] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152035] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

79×10188+29

c168

name 名前Bob Backstrom
date 日付May 16, 2022 04:49:16 UTC 2022 年 5 月 16 日 (月) 13 時 49 分 16 秒 (日本時間)
composite number 合成数
167988420203372384438872590630587111580431577873671046966879190084411877294601839708668422412598428664105488788660058173253419386442069396841922055461940028390605886399<168>
prime factors 素因数
17452116412077194617956640968386600336261878677737<50>
8948831716261851328508906313598730204303858467402441921<55>
1075634946090911833874848410534232132163331844723490644836232487<64>
factorization results 素因数分解の結果
Number: n
N=167988420203372384438872590630587111580431577873671046966879190084411877294601839708668422412598428664105488788660058173253419386442069396841922055461940028390605886399  ( 168 digits)
SNFS difficulty: 189 digits.
Divisors found:

Mon May 16 14:43:28 2022  found factor: 1075634946090911833874848410534232132163331844723490644836232487
Mon May 16 14:45:00 2022  p50 factor: 17452116412077194617956640968386600336261878677737
Mon May 16 14:45:00 2022  p55 factor: 8948831716261851328508906313598730204303858467402441921
Mon May 16 14:45:00 2022  p64 factor: 1075634946090911833874848410534232132163331844723490644836232487
Mon May 16 14:45:00 2022  elapsed time 00:34:22 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.332).
Factorization parameters were as follows:
#
# N = 79x10^188+2 = 87(187)8
#
n: 167988420203372384438872590630587111580431577873671046966879190084411877294601839708668422412598428664105488788660058173253419386442069396841922055461940028390605886399
m: 10000000000000000000000000000000000000
deg: 5
c5: 39500
c0: 1
skew: 0.12
# Murphy_E = 4.367e-11
type: snfs
lss: 1
rlim: 10100000
alim: 10100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10100000/10100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3122279 hash collisions in 28586991 relations (27174643 unique)
Msieve: matrix is 1120093 x 1120319 (389.2 MB)

Sieving start time : 2022/05/16 10:26:50
Sieving end time  : 2022/05/16 14:10:06

Total sieving time: 3hrs 43min 16secs.

Total relation processing time: 0hrs 21min 4sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 6sec.

Prototype def-par.txt line would be:
snfs,189,5,0,0,0,0,0,0,0,0,10100000,10100000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119221] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153514] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152035] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

79×10189+29

c117

name 名前ebina
date 日付May 10, 2022 08:51:45 UTC 2022 年 5 月 10 日 (火) 17 時 51 分 45 秒 (日本時間)
composite number 合成数
956613343306300133738955365117611697890170585259669233243631036136857933595871735529308505569144563902459558736190187<117>
prime factors 素因数
963181865032940723833312827692030911288995679324289377<54>
993180393064796805216371895407920376279235531250140001835203531<63>
factorization results 素因数分解の結果
Tue May 10 17:35:57 2022  Msieve v. 1.53 (SVN unknown)
Tue May 10 17:35:57 2022  random seeds: e843092c fce2ee7d
Tue May 10 17:35:57 2022  factoring 956613343306300133738955365117611697890170585259669233243631036136857933595871735529308505569144563902459558736190187 (117 digits)
Tue May 10 17:35:58 2022  searching for 15-digit factors
Tue May 10 17:35:59 2022  commencing number field sieve (117-digit input)
Tue May 10 17:35:59 2022  R0: -22824223640120086141606
Tue May 10 17:35:59 2022  R1: 4788037447187
Tue May 10 17:35:59 2022  A0: 781473585047452792399649265
Tue May 10 17:35:59 2022  A1: 1860254761267498135914718
Tue May 10 17:35:59 2022  A2: 20148691376366758711
Tue May 10 17:35:59 2022  A3: -1931717671429058
Tue May 10 17:35:59 2022  A4: -5812076676
Tue May 10 17:35:59 2022  A5: 154440
Tue May 10 17:35:59 2022  skew 55430.54, size 2.819e-11, alpha -7.056, combined = 3.868e-10 rroots = 5
Tue May 10 17:35:59 2022  
Tue May 10 17:35:59 2022  commencing square root phase
Tue May 10 17:35:59 2022  reading relations for dependency 1
Tue May 10 17:35:59 2022  read 284061 cycles
Tue May 10 17:35:59 2022  cycles contain 1000996 unique relations
Tue May 10 17:36:12 2022  read 1000996 relations
Tue May 10 17:36:17 2022  multiplying 1000996 relations
Tue May 10 17:37:06 2022  multiply complete, coefficients have about 46.76 million bits
Tue May 10 17:37:07 2022  initial square root is modulo 5178827
Tue May 10 17:38:16 2022  sqrtTime: 137
Tue May 10 17:38:16 2022  p54 factor: 963181865032940723833312827692030911288995679324289377
Tue May 10 17:38:16 2022  p63 factor: 993180393064796805216371895407920376279235531250140001835203531
Tue May 10 17:38:16 2022  elapsed time 00:02:19

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 7, 2022 21:49:40 UTC 2022 年 5 月 8 日 (日) 6 時 49 分 40 秒 (日本時間)

79×10190+29

c137

composite cofactor 合成数の残り
74010711930183242711344080233449707784424950582025809445216504532226528092363308887097622883248690833680501773640024627888875946551539129<137>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 17, 2022 17:28:37 UTC 2022 年 5 月 18 日 (水) 2 時 28 分 37 秒 (日本時間)

79×10192+29

c190

name 名前ebina
date 日付May 30, 2022 09:20:25 UTC 2022 年 5 月 30 日 (月) 18 時 20 分 25 秒 (日本時間)
composite number 合成数
1948019924051881442027913399418059870789564531242294224983971987966661734970656408738965330177047886768259604477979977314198352813532573852147753612467327513932041228978645756275583173053213<190>
prime factors 素因数
14586033794663801270629563008506971343802306912282438437<56>
133553778324889864455669347416196442721059131844773029037544599246323813885402047228158437667304881041885352241572968358864080911735449<135>
factorization results 素因数分解の結果
Mon May 30 18:06:57 2022  Msieve v. 1.53 (SVN unknown)
Mon May 30 18:06:57 2022  random seeds: 3f015e64 d4ce7b71
Mon May 30 18:06:57 2022  factoring 1948019924051881442027913399418059870789564531242294224983971987966661734970656408738965330177047886768259604477979977314198352813532573852147753612467327513932041228978645756275583173053213 (190 digits)
Mon May 30 18:06:58 2022  searching for 15-digit factors
Mon May 30 18:06:59 2022  commencing number field sieve (190-digit input)
Mon May 30 18:06:59 2022  R0: -100000000000000000000000000000000000000
Mon May 30 18:06:59 2022  R1: 1
Mon May 30 18:06:59 2022  A0: 1
Mon May 30 18:06:59 2022  A1: 0
Mon May 30 18:06:59 2022  A2: 0
Mon May 30 18:06:59 2022  A3: 0
Mon May 30 18:06:59 2022  A4: 0
Mon May 30 18:06:59 2022  A5: 3950
Mon May 30 18:06:59 2022  skew 0.19, size 2.163e-13, alpha -0.614, combined = 3.177e-11 rroots = 1
Mon May 30 18:06:59 2022  
Mon May 30 18:06:59 2022  commencing square root phase
Mon May 30 18:06:59 2022  reading relations for dependency 1
Mon May 30 18:07:00 2022  read 1203131 cycles
Mon May 30 18:07:03 2022  cycles contain 3999404 unique relations
Mon May 30 18:08:18 2022  read 3999404 relations
Mon May 30 18:08:41 2022  multiplying 3999404 relations
Mon May 30 18:11:16 2022  multiply complete, coefficients have about 133.86 million bits
Mon May 30 18:11:17 2022  initial square root is modulo 63691
Mon May 30 18:14:42 2022  sqrtTime: 463
Mon May 30 18:14:42 2022  p56 factor: 14586033794663801270629563008506971343802306912282438437
Mon May 30 18:14:42 2022  p135 factor: 133553778324889864455669347416196442721059131844773029037544599246323813885402047228158437667304881041885352241572968358864080911735449
Mon May 30 18:14:42 2022  elapsed time 00:07:45

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

79×10193+29

c113

name 名前Eric Jeancolas
date 日付May 9, 2022 15:45:46 UTC 2022 年 5 月 10 日 (火) 0 時 45 分 46 秒 (日本時間)
composite number 合成数
60611655441689929325513527448113539948160031284371328283502856841837158323801855083522494164242624836442361210241<113>
prime factors 素因数
59521350822022924293793396123970072644234384477161763433<56>
1018317874252000206182234416782436665134529495144674412377<58>
factorization results 素因数分解の結果
60611655441689929325513527448113539948160031284371328283502856841837158323801855083522494164242624836442361210241=59521350822022924293793396123970072644234384477161763433*1018317874252000206182234416782436665134529495144674412377

cado polynomial
n: 60611655441689929325513527448113539948160031284371328283502856841837158323801855083522494164242624836442361210241
skew: 35831.065
c0: 105992193642345554558921766
c1: 5614472978709576830955
c2: -622800400772628782
c3: -4827879512683
c4: 194388264
c5: 2040
Y0: -8988384234857276192036
Y1: 1216873791937417
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.235e-06
# f(x) = 2040*x^5+194388264*x^4-4827879512683*x^3-622800400772628782*x^2+5614472978709576830955*x+105992193642345554558921766
# g(x) = 1216873791937417*x-8988384234857276192036

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: 1018317874252000206182234416782436665134529495144674412377 59521350822022924293793396123970072644234384477161763433
Info:Square Root: Total cpu/real time for sqrt: 123.96/37.9521
Info:Filtering - Singleton removal: Total cpu/real time for purge: 75.7/87.5313
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6855833
Info:Lattice Sieving: Average J: 1908.91 for 120534 special-q, max bucket fill -bkmult 1.0,1s:1.240030
Info:Lattice Sieving: Total time: 13885.6s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.19/1.12742
Info:Linear Algebra: Total cpu/real time for bwc: 2427.67/626.63
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1499.24, WCT time 384.21, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13440 iterations)
Info:Linear Algebra: Lingen CPU time 67.19, WCT time 17.14
Info:Linear Algebra: Mksol: CPU time 825.37,  WCT time 210.84, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6784 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 63.32/16.7442
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 27.03/28.4264
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 27.899999999999995s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 318.46
Info:Polynomial Selection (root optimized): Rootsieve time: 317.37
Info:Filtering - Merging: Merged matrix has 427168 rows and total weight 66406414 (155.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 69.7/20.6812
Info:Filtering - Merging: Total cpu/real time for replay: 14.59/11.7524
Info:Quadratic Characters: Total cpu/real time for characters: 15.67/6.09407
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): 21321/33.610/40.143/45.880/1.068
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16428/32.090/35.549/40.590/0.799
Info:Polynomial Selection (size optimized): Total time: 1795.99
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 103.72/114.06
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 83.0s
Info:Square Root: Total cpu/real time for sqrt: 123.96/37.9521
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 30481.2/8415.03
Info:root: Cleaning up computation data in /tmp/cado.2z2w6i4q
1018317874252000206182234416782436665134529495144674412377 59521350822022924293793396123970072644234384477161763433
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 7, 2022 22:05:16 UTC 2022 年 5 月 8 日 (日) 7 時 5 分 16 秒 (日本時間)

79×10194+29

c91

name 名前Ignacio Santos
date 日付May 7, 2022 18:44:16 UTC 2022 年 5 月 8 日 (日) 3 時 44 分 16 秒 (日本時間)
composite number 合成数
5174659381439766646435806837431441658320069304232753175522600133683585621982901124573705509<91>
prime factors 素因数
725968016673510101808629655480633135633649993<45>
7127944017631521035817352604349245920606249213<46>
factorization results 素因数分解の結果
prp45 = 725968016673510101808629655480633135633649993
prp46 = 7127944017631521035817352604349245920606249213
software ソフトウェア
Yafu

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

79×10195+29

c175

name 名前Bob Backstrom
date 日付July 26, 2022 10:35:22 UTC 2022 年 7 月 26 日 (火) 19 時 35 分 22 秒 (日本時間)
composite number 合成数
5935551965762042939066963902865133556462580868934775317240509993386094074262820523556281788683118324033225061210094226960997933692093077511214583316113053797389060206143785679<175>
prime factors 素因数
4163217398072094085106018860585058773780184717999432087<55>
1425712711642366528536756034075761609656813464895766524213828106822341061573678208770455719368953809308664891991454324617<121>
factorization results 素因数分解の結果
Number: n
N=5935551965762042939066963902865133556462580868934775317240509993386094074262820523556281788683118324033225061210094226960997933692093077511214583316113053797389060206143785679  ( 175 digits)
SNFS difficulty: 196 digits.
Divisors found:

Tue Jul 26 19:38:31 2022  p55 factor: 4163217398072094085106018860585058773780184717999432087
Tue Jul 26 19:38:31 2022  p121 factor: 1425712711642366528536756034075761609656813464895766524213828106822341061573678208770455719368953809308664891991454324617
Tue Jul 26 19:38:31 2022  elapsed time 01:01:45 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 79x10^195+2 = 87(194)8
#
n: 5935551965762042939066963902865133556462580868934775317240509993386094074262820523556281788683118324033225061210094226960997933692093077511214583316113053797389060206143785679
m: 1000000000000000000000000000000000000000
deg: 5
c5: 79
c0: 2
skew: 0.48
# Murphy_E = 2.365e-11
type: snfs
lss: 1
rlim: 13400000
alim: 13400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13400000/13400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3249745 hash collisions in 28348497 relations (26745074 unique)
Msieve: matrix is 1567301 x 1567526 (546.8 MB)

Sieving start time : 2022/07/26 12:35:07
Sieving end time  : 2022/07/26 18:36:16

Total sieving time: 6hrs 1min 9secs.

Total relation processing time: 0hrs 47min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 2sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13400000,13400000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118312] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153549] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.21 BogoMIPS (lpj=12798428)
[    0.152036] smpboot: Total of 16 processors activated (102387.42 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

79×10197+29

c169

composite cofactor 合成数の残り
3186810603681320870908390820485774898366966287288699693900653467334426247724318497290655087011422440377604979746618637162360904609662591654631361166425790328583894078463<169>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

79×10198+29

c165

composite cofactor 合成数の残り
129220024141339078067749183637989734072731076590074623396962951480748267425728225348474481155480676501506382916324456648559405940572528301011437595269647413245121871<165>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

79×10199+29

c169

composite cofactor 合成数の残り
3003757184555931022183227739709883271956265657183564390533674195841663645530630262830933486127826565128068474797854512008060973305189362620431504229531537316415292069871<169>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

79×10200+29

c180

composite cofactor 合成数の残り
280376403970644715412043171218676920074327557177523120463352381350821369570883073376536720130852078169084938163617205756540007243002977859938192107264340810937117751795311638815907<180>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJune 9, 2022 22:50:32 UTC 2022 年 6 月 10 日 (金) 7 時 50 分 32 秒 (日本時間)

79×10204+29

c182

composite cofactor 合成数の残り
11139252298760949514982782710417169034852664066462094016161730712371823294980586390404885124388681192910529401624020456753370067301647904181406349470793464619005265983351309313693591<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJune 9, 2022 22:50:44 UTC 2022 年 6 月 10 日 (金) 7 時 50 分 44 秒 (日本時間)

79×10205+29

c180

composite cofactor 合成数の残り
992875357408510963896429445940944140523842316784774033929200556673256504765925388978715280913558661380920247341537040626240626787348803114636271685987416931747101199568107803311263<180>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovMay 18, 2022 10:14:10 UTC 2022 年 5 月 18 日 (水) 19 時 14 分 10 秒 (日本時間)

79×10206+29

c166

composite cofactor 合成数の残り
6271174700167137476731534803667762491715846088203325723474345560158459310577928532587338530848789111963567151157517482707252420562842840274012989519910480550991168819<166>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovMay 18, 2022 10:14:30 UTC 2022 年 5 月 18 日 (水) 19 時 14 分 30 秒 (日本時間)

79×10207+29

c153

name 名前Dmitry Domanov
date 日付May 20, 2022 22:10:01 UTC 2022 年 5 月 21 日 (土) 7 時 10 分 1 秒 (日本時間)
composite number 合成数
736094989510646233628660888611126689208281488694309501676197833815503672002086497706924701418674269697662700939080910549107542707338311245241147428274423<153>
prime factors 素因数
6948313075084587262122831853310660789119<40>
composite cofactor 合成数の残り
105938661881853268718338301264338569077126977365466218598421990534960580500480405284843627331572957180886768852617<114>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3972419409
Step 1 took 6409ms
Step 2 took 3571ms
********** Factor found in step 2: 6948313075084587262122831853310660789119
Found prime factor of 40 digits: 6948313075084587262122831853310660789119
Composite cofactor 105938661881853268718338301264338569077126977365466218598421990534960580500480405284843627331572957180886768852617 has 114 digits

c114

name 名前Eric Jeancolas
date 日付May 21, 2022 18:30:17 UTC 2022 年 5 月 22 日 (日) 3 時 30 分 17 秒 (日本時間)
composite number 合成数
105938661881853268718338301264338569077126977365466218598421990534960580500480405284843627331572957180886768852617<114>
prime factors 素因数
31569471552971108569405838062265227083697205669863718071<56>
3355731238772763900705765026710159704545026138133867265727<58>
factorization results 素因数分解の結果
10593866188185326871833830126433856907712697736546621859842199053496058050048040528484362733157295718088676885261=31569471552971108569405838062265227083697205669863718071*3355731238772763900705765026710159704545026138133867265727

cado polynomial
n: 105938661881853268718338301264338569077126977365466218598421990534960580500480405284843627331572957180886768852617
skew: 13899.709
c0: -34541969422582105103431581
c1: -2662064118951431658237
c2: 646395469687776950
c3: 11914971784789
c4: -1258186317
c5: 64980
Y0: -5495590098794644793572
Y1: 6981530070466549
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.235e-06
# f(x) = 64980*x^5-1258186317*x^4+11914971784789*x^3+646395469687776950*x^2-2662064118951431658237*x-34541969422582105103431581
# g(x) = 6981530070466549*x-5495590098794644793572

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: 31569471552971108569405838062265227083697205669863718071 3355731238772763900705765026710159704545026138133867265727
Info:Square Root: Total cpu/real time for sqrt: 127.84/38.1433
Info:Filtering - Singleton removal: Total cpu/real time for purge: 76.06/88.2583
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6800618
Info:Lattice Sieving: Average J: 1896.65 for 116563 special-q, max bucket fill -bkmult 1.0,1s:1.252600
Info:Lattice Sieving: Total time: 13454.2s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.22/1.12581
Info:Linear Algebra: Total cpu/real time for bwc: 2343.3/604.62
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1445.76, WCT time 370.19, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13312 iterations)
Info:Linear Algebra: Lingen CPU time 65.81, WCT time 16.75
Info:Linear Algebra: Mksol: CPU time 796.32,  WCT time 203.41, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6656 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 63.89/16.7352
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 27.15/28.7719
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 28.2s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 333.17
Info:Polynomial Selection (root optimized): Rootsieve time: 332.05
Info:Filtering - Merging: Merged matrix has 422348 rows and total weight 65638618 (155.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 67.93/20.1861
Info:Filtering - Merging: Total cpu/real time for replay: 14.24/11.5118
Info:Quadratic Characters: Total cpu/real time for characters: 15.51/6.04792
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): 21545/33.430/40.244/45.370/1.066
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16679/31.540/35.638/40.690/0.832
Info:Polynomial Selection (size optimized): Total time: 1802.71
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 103.86/109.058
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 82.6s
Info:Square Root: Total cpu/real time for sqrt: 127.84/38.1433
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 29646.3/8132.01
Info:root: Cleaning up computation data in /tmp/cado.rt9ytz01
31569471552971108569405838062265227083697205669863718071 3355731238772763900705765026710159704545026138133867265727
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovMay 18, 2022 10:14:40 UTC 2022 年 5 月 18 日 (水) 19 時 14 分 40 秒 (日本時間)

79×10208+29

c177

composite cofactor 合成数の残り
461985615938706094347387989587908180676729807669764530966717696141112820766327716377789810050070140015684212729600461908014682019403118749675596346364586333502997501377165759799<177>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovMay 18, 2022 10:14:51 UTC 2022 年 5 月 18 日 (水) 19 時 14 分 51 秒 (日本時間)

79×10216+29

c183

composite cofactor 合成数の残り
654383730673904279624818332207881262736026035065872662335011983564186605644580278990565573190980643815740766368352122140600517226177280361152806787448483670589393486427137982416797499<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJune 9, 2022 22:50:55 UTC 2022 年 6 月 10 日 (金) 7 時 50 分 55 秒 (日本時間)

79×10220+29

c201

composite cofactor 合成数の残り
344393696427943086998153982432132269805552358226240930648412599346724419193366863383803837858069499265808810318889597819255067286295943441961556651423650388756257625251028627679813906547577326451253793<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

79×10221+29

c189

composite cofactor 合成数の残り
210785310959491217213221194936552697154718929476288184590555866838432768343729909144197152152340336113712630454806778428893093938605937614098017138962748935668039835430858747569824714553941<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJune 9, 2022 22:51:02 UTC 2022 年 6 月 10 日 (金) 7 時 51 分 2 秒 (日本時間)

79×10222+29

c186

composite cofactor 合成数の残り
296039367293910803252891985220597444202075493842490651070278041985193038889713847811617625403717054813551154049296059240114424674732621311902244825141873891895596319968394734596084886643<186>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJune 9, 2022 22:51:11 UTC 2022 年 6 月 10 日 (金) 7 時 51 分 11 秒 (日本時間)

79×10223+29

c213

composite cofactor 合成数の残り
165015702408533142021974520193725012009779770673077499487255791080419695723828479176735262754349603743657322267383249132869008655156058655924189350878935644952327757368633970181120303101135218460251067196064245777<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

79×10224+29

c225

composite cofactor 合成数の残り
438888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

79×10225+29

c197

composite cofactor 合成数の残り
45684701263980023932092722779152038871711185206953006463156488698246221477343413637223270134365824313789287209520152319814276125877578037208115272764656930680526434272197109929826321867177512819203<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJune 9, 2022 22:51:19 UTC 2022 年 6 月 10 日 (金) 7 時 51 分 19 秒 (日本時間)

79×10226+29

c183

composite cofactor 合成数の残り
538513066667106290927860881144952203455934630738290493173443227508939754651999916549263386786378644179822376654712127905222523569878461591596296386486687913673141418132446387959680017<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJune 9, 2022 22:51:26 UTC 2022 年 6 月 10 日 (金) 7 時 51 分 26 秒 (日本時間)

79×10227+29

c150

composite cofactor 合成数の残り
162033540897473419048357818066428526214546545115565841536387993320492202516106360956198795339348316161544522789690138249457051018742377884655472734487<150>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 7, 2022 14:42:50 UTC 2022 年 5 月 7 日 (土) 23 時 42 分 50 秒 (日本時間)
4511e64480Ignacio SantosMay 11, 2022 17:53:57 UTC 2022 年 5 月 12 日 (木) 2 時 53 分 57 秒 (日本時間)

79×10229+29

c219

composite cofactor 合成数の残り
160143491403753825300677896597551522893859578572677996037493800944843149831885388468185860235225298269044714753315589130261814929619650047396197918594891795586086764875886193316243818682839493429899355823559475833580609<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

79×10231+29

c196

composite cofactor 合成数の残り
4097798338610813065022859464777820472139792886386323899875330019457234053026463978512078220144562510554387698851273986156775835606079656083062958933886023729310603324506295867320477383709634129237<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJune 9, 2022 22:51:33 UTC 2022 年 6 月 10 日 (金) 7 時 51 分 33 秒 (日本時間)

79×10232+29

c224

composite cofactor 合成数の残り
16570754232921380645244168181897587385102536508218074117166872815260555154719708236704813321946057014912116418237099059252989772427832667232831278238860209920196556913591414296782410265067186301959574176838011978542560213099<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

79×10233+29

c220

composite cofactor 合成数の残り
1060537710494658762918105870624695556426059863409466765520761315174304453207993682394326035701662324166395985320611015155640061798441430041060017337824983002772907632048789948637191575500662846634531454514212862913022467<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

79×10234+29

c231

composite cofactor 合成数の残り
529483518987681130279754963070200131365531293146204474470851597163576895752067666653262020616345625393761477728180587391589925068028578705379284459993833862816852321014463613088296403533464698864626479537807804184930496910229085401<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

79×10236+29

c170

composite cofactor 合成数の残り
42817701776497356288328787449468479145495026117990857846732661619002950068046452838013124331939342235098140900584810861083250465669211720225296924224852018077804360918873<170>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovMay 18, 2022 10:15:12 UTC 2022 年 5 月 18 日 (水) 19 時 15 分 12 秒 (日本時間)

79×10238+29

c215

composite cofactor 合成数の残り
32022724473995992761656977040717426923584442213259669194680182539694694544424878150134972916471537677912633147628526036939096194171691273243163957709553806427438517707090095184276167994299510868110299581553736423613<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

79×10239+29

c187

composite cofactor 合成数の残り
1040057501950620379492541894385826130447387438561558722994737898257228817489228570763107599762450524053701546666331566459499383986382071399537394809076903086742656502148910257048094600427<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJune 9, 2022 22:51:41 UTC 2022 年 6 月 10 日 (金) 7 時 51 分 41 秒 (日本時間)

79×10241+29

c184

composite cofactor 合成数の残り
3308463118443201468841582415901166006654864151855748580803077982831596083752563624128287669909145408160916321538596802766768720496969927176363628612120450262795703681175750253631312777<184>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJune 9, 2022 22:51:49 UTC 2022 年 6 月 10 日 (金) 7 時 51 分 49 秒 (日本時間)

79×10243+29

c154

composite cofactor 合成数の残り
1744070258994156053669090500843339121158937641976019016305920840067963585994639705872278395756783464966317391975645079140913114716043670171953478600916023<154>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 7, 2022 16:01:03 UTC 2022 年 5 月 8 日 (日) 1 時 1 分 3 秒 (日本時間)
4511e64480Ignacio SantosMay 11, 2022 21:49:23 UTC 2022 年 5 月 12 日 (木) 6 時 49 分 23 秒 (日本時間)

79×10244+29

c241

composite cofactor 合成数の残り
6703664104000135770412232914142185564210919335403832119885274001663187549853198241773161583761858696943468594606520374047485701678461721229401082769037557490283929874582081699845561156085060163263920710079255978140963630500823108124162041987<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

79×10246+29

c225

composite cofactor 合成数の残り
518604432901967016783373586149254023409412658568237502122856122967220054656556880508316664671014576062593451573218091009357985356034503644657629055340949005640250790029684495704741539876308456319881292860622348361428826557097<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

79×10247+29

c233

composite cofactor 合成数の残り
13252124108993209706852517907705793975815500408917048576384288628680988771001736227793900065834009722022409073217308780421297339819576335114158721752442562667376890755725361888014239976804837612331379762947861032673294177512972834161<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

79×10248+29

c200

composite cofactor 合成数の残り
50653704196226368360962923567394368611465027516205462040699497375884257052926270563516939086572245868662089153354490869787801362087139255039235080360945519904389463998857052034836361066780625896174907<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJune 9, 2022 22:51:56 UTC 2022 年 6 月 10 日 (金) 7 時 51 分 56 秒 (日本時間)

79×10249+29

c192

name 名前Dmitry Domanov
date 日付June 11, 2022 11:11:11 UTC 2022 年 6 月 11 日 (土) 20 時 11 分 11 秒 (日本時間)
composite number 合成数
782568029409277626698878343225657270775812471924729970999898014571333903655630327405117568533778885327820564634622330092606648260807780647540747418657605948908753421175933114481802385568281511<192>
prime factors 素因数
1258396906941569033946406381943032033<37>
621876949229989245045759006048443972349423773208881385073903404405178159028846263936080808232097896319508638293756801215744154027572359034745142238598604167<156>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2374247740
Step 1 took 16628ms
Step 2 took 7604ms
********** Factor found in step 2: 1258396906941569033946406381943032033
Found prime factor of 37 digits: 1258396906941569033946406381943032033
Prime cofactor 621876949229989245045759006048443972349423773208881385073903404405178159028846263936080808232097896319508638293756801215744154027572359034745142238598604167 has 156 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJune 9, 2022 22:52:04 UTC 2022 年 6 月 10 日 (金) 7 時 52 分 4 秒 (日本時間)

79×10250+29

c243

composite cofactor 合成数の残り
755489203329615733537374327263880346362077442528200590179367538981086400474617061314430756299795429016048585552744007266941626866586935587619779681254820822031430022497913812196549991419650912614795891117235852519349833336117167600285879409697<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

79×10252+29

c202

composite cofactor 合成数の残り
2272078108496047649788782622177047937251074924218686907812983799172910884961647499223688128529274063705767371240367858647516163409537320735130250886752383104923354186133527964964112467046154590696605381<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

79×10253+29

c202

composite cofactor 合成数の残り
2987859554293020784784660514885966017503782377426221660672615711272802761796596456055124658424772847700699157289847485013697055697687547371832224160926614748082753148749415997940438322450937950560356361<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

79×10254+29

c250

composite cofactor 合成数の残り
1076027176905133357904890638863214063212101846108500042632469160924903927117818982808354656378212383792470043539600932847459390870549572027216132453224826207990332644948352057568271200255195508689804792325392797591660489725847344160618440490657496191<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJune 9, 2022 22:49:08 UTC 2022 年 6 月 10 日 (金) 7 時 49 分 8 秒 (日本時間)

79×10255+29

c215

composite cofactor 合成数の残り
78381106767223360915560779956369210474601236991541192271567568716216555645911018119307244514866355872324392540639053568259581270730599050253637959583864409604185851685845255107268307832326209409555780626097621679719<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

79×10256+29

c188

composite cofactor 合成数の残り
30448177094927944731895252689504659588773059618390005825817689669300233910117052974764312100220593908506168614089324535340917532888455971451366009160681696263381018203520686080570155906251<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJune 9, 2022 22:52:11 UTC 2022 年 6 月 10 日 (金) 7 時 52 分 11 秒 (日本時間)

79×10257+29

c253

composite cofactor 合成数の残り
6576395236358974615114387654357985658463654178175358330294872243116845061793141568978061478473543744682693092121145524804664412378274253995368219861379577878671335074829388328646611158561051424080927954341503047618096241798236194148506658808290586764297<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJune 9, 2022 22:48:57 UTC 2022 年 6 月 10 日 (金) 7 時 48 分 57 秒 (日本時間)

79×10258+29

c220

composite cofactor 合成数の残り
1436082652550177642932344971260398652531712239917362195988498213373193363527902578179724226450674449390891444516882816047096220079105878187341902416365552144694358376093914058010417619958836752202413981844072645217858739<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

79×10260+29

c114

name 名前Eric Jeancolas
date 日付May 9, 2022 15:52:45 UTC 2022 年 5 月 10 日 (火) 0 時 52 分 45 秒 (日本時間)
composite number 合成数
167269984001068615783504624692532096048975546494441682889416006306881194360403351436188915478119503417358945691357<114>
prime factors 素因数
17692274117075326449622295278628611516962962657<47>
9454408341979706665078677973885314764380411627161544114472832159101<67>
factorization results 素因数分解の結果
167269984001068615783504624692532096048975546494441682889416006306881194360403351436188915478119503417358945691357=17692274117075326449622295278628611516962962657*9454408341979706665078677973885314764380411627161544114472832159101

cado polynomial
n: 167269984001068615783504624692532096048975546494441682889416006306881194360403351436188915478119503417358945691357
skew: 18053.283
c0: 87911380639613702799541188
c1: -34000876837601877359408
c2: -2415693379449402687
c3: 85643704716437
c4: 4692650580
c5: -100800
Y0: -10019719398477596255436
Y1: 3019189412717081
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.234e-06
# f(x) = -100800*x^5+4692650580*x^4+85643704716437*x^3-2415693379449402687*x^2-34000876837601877359408*x+87911380639613702799541188
# g(x) = 3019189412717081*x-10019719398477596255436

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: 9454408341979706665078677973885314764380411627161544114472832159101 17692274117075326449622295278628611516962962657
Info:Square Root: Total cpu/real time for sqrt: 125.63/37.35
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 105.22/110.658
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 84.80000000000001s
Info:Square Root: Total cpu/real time for sqrt: 125.63/37.35
Info:Filtering - Singleton removal: Total cpu/real time for purge: 76.72/87.8392
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6846191
Info:Lattice Sieving: Average J: 1905.09 for 117346 special-q, max bucket fill -bkmult 1.0,1s:1.242670
Info:Lattice Sieving: Total time: 13680.9s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.07/1.09334
Info:Linear Algebra: Total cpu/real time for bwc: 2184.07/563.94
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1342.87, WCT time 343.58, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12928 iterations)
Info:Linear Algebra: Lingen CPU time 64.55, WCT time 16.44
Info:Linear Algebra: Mksol: CPU time 742.78,  WCT time 190.1, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6528 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 63.72/16.7762
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 27.29/30.2587
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 29.7s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 310.76
Info:Polynomial Selection (root optimized): Rootsieve time: 309.63
Info:Filtering - Merging: Merged matrix has 412078 rows and total weight 64049375 (155.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 65.11/19.3978
Info:Filtering - Merging: Total cpu/real time for replay: 13.63/11.1185
Info:Quadratic Characters: Total cpu/real time for characters: 15.05/5.89168
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): 21242/32.000/40.311/45.780/1.052
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16482/32.000/35.706/40.710/0.841
Info:Polynomial Selection (size optimized): Total time: 1833.08
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 29894.3/8217.95
Info:root: Cleaning up computation data in /tmp/cado.d0sdb7x8
9454408341979706665078677973885314764380411627161544114472832159101 17692274117075326449622295278628611516962962657
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 7, 2022 22:08:01 UTC 2022 年 5 月 8 日 (日) 7 時 8 分 1 秒 (日本時間)

79×10261+29

c216

composite cofactor 合成数の残り
291245217970533356076961906702100324531413699277681781391098797640390387724883384624527410019128964758387296524197668058934059322148269357062270407636474599480360190811360685085493942906497917598694882692453096724289<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

79×10263+29

c241

composite cofactor 合成数の残り
4170596584107983470336055536724680693596743374195167078871433038648999696047270938187777611865288552093898945604686101280928104253294099639407531421686727277375614295494609681092581115165877611635803661985722735970785889352028306154591773919<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

79×10266+29

c211

composite cofactor 合成数の残り
6707484168863459940977479375267285817893159498352366791535407812664757708534071425365919310266915606797220743616540048305244936477069005935300105730173141928938519907808037240600468019172658001681939397869146709<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

79×10268+29

c216

composite cofactor 合成数の残り
448252260606781210213933062730298613606545577266528203501863563254497854170635126180341313681070953267031993406682374181556794245636326717322461302932026699690753304902229034519216004154567899812172953196003084410527<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

79×10270+29

c233

composite cofactor 合成数の残り
35226970963980134893121613067876929258604850160608167959629527322045836267401469231351798669551519835519724117700598468364851484390408162308801378174518111185400682129231066500678571702679993982956794036912919871507121900036916073451<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

79×10271+29

c269

composite cofactor 合成数の残り
84891467870191274446593595529765742531699978508489146787019127444659359552976574253169997850848914678701912744465935955297657425316999785084891467870191274446593595529765742531699978508489146787019127444659359552976574253169997850848914678701912744465935955297657425317<269>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJune 9, 2022 22:48:49 UTC 2022 年 6 月 10 日 (金) 7 時 48 分 49 秒 (日本時間)

79×10272+29

c273

composite cofactor 合成数の残り
438888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<273>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMay 24, 2022 21:32:10 UTC 2022 年 5 月 25 日 (水) 6 時 32 分 10 秒 (日本時間)

79×10273+29

c252

name 名前Dmitry Domanov
date 日付June 10, 2022 07:01:52 UTC 2022 年 6 月 10 日 (金) 16 時 1 分 52 秒 (日本時間)
composite number 合成数
245553051500368308387016481660392925814907344590303461875903513332169752237887649287387945476065177812084065760200714998937469966942681606679205076770025434698524892377966649325884023392967149766125975448214534448830345516471131336603663498625450690371<252>
prime factors 素因数
18309977062651082505579767501418195358604511317<47>
13410887990747430125423443362794576849156350165359351638013239826365414397890722422714920073537857376689426102309864219704512670716395156077494038374831485117279853910759358406192080610498054318198751742263<206>
factorization results 素因数分解の結果
Resuming ECM residue saved by @3706cd818f3f with GMP-ECM 7.0.5-dev on Thu Jun  9 23:33:05 2022 
Input number is 245553051500368308387016481660392925814907344590303461875903513332169752237887649287387945476065177812084065760200714998937469966942681606679205076770025434698524892377966649325884023392967149766125975448214534448830345516471131336603663498625450690371 (252 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3883506851
Step 1 took 0ms
Step 2 took 4623ms
********** Factor found in step 2: 18309977062651082505579767501418195358604511317
Found prime factor of 47 digits: 18309977062651082505579767501418195358604511317
Prime cofactor 13410887990747430125423443362794576849156350165359351638013239826365414397890722422714920073537857376689426102309864219704512670716395156077494038374831485117279853910759358406192080610498054318198751742263 has 206 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJune 9, 2022 22:48:37 UTC 2022 年 6 月 10 日 (金) 7 時 48 分 37 秒 (日本時間)

79×10274+29

c221

composite cofactor 合成数の残り
15717250632882325585704499240740268185354400433636929085364408573208344599364961916145421760657763489138876354882371429526262964545045667837598982043009433430229801315052458380461945996652421610593832039633236715143115889<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

79×10276+29

c206

composite cofactor 合成数の残り
96909080732335699274467294080852415424276955655589884158138026102020171274142930339493212814471003572762010078421243806378646890967560075882659199476667259066516602401715643359418258232931751442083037461803<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

79×10277+29

c206

composite cofactor 合成数の残り
14220714142177445099209753421710775425754700989288273450252666094412975582087188463057998190190958045914938480633219981367672114443937857354813420798638103272957254564086950025401000374832574538216333786357<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

79×10279+29

c108

name 名前Eric Jeancolas
date 日付May 9, 2022 09:56:04 UTC 2022 年 5 月 9 日 (月) 18 時 56 分 4 秒 (日本時間)
composite number 合成数
441036868850193481846525208290711563548843131961191581080225453001704375854136975197387797270769867515327793<108>
prime factors 素因数
2978248770643126275663791711160849898866248539127<49>
148085973608898863462432499740312933049488818352123002215959<60>
factorization results 素因数分解の結果
441036868850193481846525208290711563548843131961191581080225453001704375854136975197387797270769867515327793=2978248770643126275663791711160849898866248539127*148085973608898863462432499740312933049488818352123002215959

cado polynomial
n: 441036868850193481846525208290711563548843131961191581080225453001704375854136975197387797270769867515327793
skew: 4112.417
c0: 201352400773880037320800
c1: 381830392471381273630
c2: -137545452975091099
c3: -37519063617559
c4: 3178860048
c5: 230400
Y0: 49214709973290797346
Y1: 158454546817392361
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 2.045e-06
# f(x) = 230400*x^5+3178860048*x^4-37519063617559*x^3-137545452975091099*x^2+381830392471381273630*x+201352400773880037320800
# g(x) = 158454546817392361*x+49214709973290797346

cado parameters (extracts)
tasks.lim0 = 1400000
tasks.lim1 = 2500000
tasks.lpb0 = 25
tasks.lpb1 = 26
tasks.sieve.mfb0 = 50
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: 2978248770643126275663791711160849898866248539127 148085973608898863462432499740312933049488818352123002215959
Info:Square Root: Total cpu/real time for sqrt: 168.1/49.1098
Info:Filtering - Singleton removal: Total cpu/real time for purge: 45.9/52.9342
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4843317
Info:Lattice Sieving: Average J: 1889.8 for 61385 special-q, max bucket fill -bkmult 1.0,1s:1.288010
Info:Lattice Sieving: Total time: 6243.63s
Info:Generate Factor Base: Total cpu/real time for makefb: 2.36/0.636322
Info:Linear Algebra: Total cpu/real time for bwc: 1004.41/260.75
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 597.13, WCT time 153.37, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8832 iterations)
Info:Linear Algebra: Lingen CPU time 43.88, WCT time 11.14
Info:Linear Algebra: Mksol: CPU time 340.95,  WCT time 87.36, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4480 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 62.21/16.3212
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 19.04/21.0312
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 20.3s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 218.63
Info:Polynomial Selection (root optimized): Rootsieve time: 217.68
Info:Filtering - Merging: Merged matrix has 281250 rows and total weight 43883229 (156.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 44.2/13.3126
Info:Filtering - Merging: Total cpu/real time for replay: 9.46/7.69423
Info:Quadratic Characters: Total cpu/real time for characters: 10.66/4.10687
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11711.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11529/29.670/38.135/43.510/1.035
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 8946/29.670/33.808/38.650/0.848
Info:Polynomial Selection (size optimized): Total time: 724.29
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 68.46/72.8549
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 52.599999999999994s
Info:Square Root: Total cpu/real time for sqrt: 168.1/49.1098
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 13635/3840.6
Info:root: Cleaning up computation data in /tmp/cado.e28nmdyq
2978248770643126275663791711160849898866248539127 148085973608898863462432499740312933049488818352123002215959
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

79×10280+29

c246

composite cofactor 合成数の残り
107442643622482660265726534021011740287572844976604758892660236102100224927332201534451694473917259840525158805035405101355667666467998657530310298048235632259580614835657533883988765619713699868218574816546864310784459590751170838418932562095791<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

79×10281+29

c267

composite cofactor 合成数の残り
257592529583993301321107946848027269659495303205911543182351174511594222121027869758376065911564743497745435342193776957765285437069174881889696546395984177626806790183542987570810978926923328133500644097923852731383685581689922952057001334238962109588835922899239383<267>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJune 9, 2022 22:48:29 UTC 2022 年 6 月 10 日 (金) 7 時 48 分 29 秒 (日本時間)

79×10282+29

c222

composite cofactor 合成数の残り
178125665354920361486431798296593033918405994176429804753994808148726550684496935569962851493270352517888080300067749763620518381915729407791193405758484756346893024863814738166562825959359463900951756407777626469934435633<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

79×10284+29

c274

composite cofactor 合成数の残り
1141302855432327496260733951086821029035734416729696252165320676058504859239202765056311514681059568815027847985862509639725858515626684624933006811010950824387619571714451733022421850686329314138167227153226558794142114004974718016656369941075452392172538012897504629781637<274>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMay 24, 2022 21:32:20 UTC 2022 年 5 月 25 日 (水) 6 時 32 分 20 秒 (日本時間)

79×10286+29

c246

composite cofactor 合成数の残り
199084289772071241348341218919301439045852443705182901325412342587717557629060606414947055031816477380701505645579334512285914707046262688732680805538161021681969677726197060247154164387727228995598039787728652185408685687659673304903288292399397<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

79×10287+29

c250

composite cofactor 合成数の残り
1149196891382076986596203011655077541910002854858359270812646040636048814569058480444211718362442270701577885123920955931847268463366478229843577360124453595359061417639141149559782703393554405381418772606577818094878745204088964122176667390031881389<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJune 9, 2022 22:48:15 UTC 2022 年 6 月 10 日 (金) 7 時 48 分 15 秒 (日本時間)

79×10289+29

c246

composite cofactor 合成数の残り
840893889956348414775993080852304021000805107920164463827032515240170357433715188324581345269374023265543642478435384950897882718035067338108278559681415191763444676281922332536652179447746451989943175763611828291648629859833410740927498477459511<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

79×10290+29

c265

composite cofactor 合成数の残り
7702554705638974122423482876765974311918275016398163222124562833994506282633856129391295215193770829687925384669119112379648846245894103351707834633598453108724701984630698196242350423427240924997140490667448171512416402378559491823830702525056054456711640583611109<265>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJune 9, 2022 22:48:07 UTC 2022 年 6 月 10 日 (金) 7 時 48 分 7 秒 (日本時間)

79×10294+29

c295

composite cofactor 合成数の残り
1462962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962963<295>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMay 24, 2022 21:32:29 UTC 2022 年 5 月 25 日 (水) 6 時 32 分 29 秒 (日本時間)

79×10295+29

c271

composite cofactor 合成数の残り
4256693186188805939991498474799520917444458028508645613619612405707921521910232672367290719921036262758983982886207396460697745687916969997333587226835410511824091756872512467865282871920102968719578730139120485230667470478334034754578764054013573193805734252391521355127<271>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMay 24, 2022 21:32:37 UTC 2022 年 5 月 25 日 (水) 6 時 32 分 37 秒 (日本時間)

79×10296+29

c250

composite cofactor 合成数の残り
2721707715262281891605000115951864954832470955241871948820571893001292251288220477956071143406608855783428430867380681763208934490644272735549256513414347568208389396087734594379870491093400578647566555728017417404852934974350691571715727708801692777<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJune 9, 2022 22:47:51 UTC 2022 年 6 月 10 日 (金) 7 時 47 分 51 秒 (日本時間)

79×10297+29

c271

composite cofactor 合成数の残り
4647689189803138022826060274278683952786942010175518653727922646692130592106326161827101411839253701320851446384783368943016175697984628832756638259096047698463577621417601114767943503041645934400723371954718553546656978619285603209688430947494707029719126922920142582459<271>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMay 24, 2022 21:32:45 UTC 2022 年 5 月 25 日 (水) 6 時 32 分 45 秒 (日本時間)

79×10298+29

c265

composite cofactor 合成数の残り
1003536268078077390193321967215878681289447514383363582169822526801189224272772046156785553572414318809017730076775434830820593174087681096245223574474286343409009929041743164050476706450778001038796715155940411026502730199024726032440369980455223298666209379200429<265>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJune 9, 2022 22:47:32 UTC 2022 年 6 月 10 日 (金) 7 時 47 分 32 秒 (日本時間)

79×10299+29

c264

composite cofactor 合成数の残り
330283312610199099907612093625260730397335561361742843450450543822087292145746642801905637471724317218777995387998245518744543399956083982452343504985615609393457915911116391099484404087411104330701958738792859003706081032604772655683522659247796091457065155093721<264>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJune 9, 2022 22:47:19 UTC 2022 年 6 月 10 日 (金) 7 時 47 分 19 秒 (日本時間)

79×10300+29

c266

name 名前Dmitry Domanov
date 日付May 8, 2022 17:13:58 UTC 2022 年 5 月 9 日 (月) 2 時 13 分 58 秒 (日本時間)
composite number 合成数
32727474344675725052769748662308037846829952487426204613700716377835892496608640151837525413819483293308299724990237687817071194062094689360079320154035356122865518661272022395922714397270222874528959644075256942231136184808800465301204624954477814853070429962870937<266>
prime factors 素因数
39125277669926753230567716970511915863007<41>
composite cofactor 合成数の残り
836479030788613811247946137208929465526250291355954978815010556008606822035896718663918266387672249710838165282494944121577734652514342051655290902411968150479079440312984019064897865653579816048863340746297287792652466233991<225>
factorization results 素因数分解の結果
Resuming ECM residue saved by @3690911d0457 with GMP-ECM 7.0.5-dev on Sat May  7 19:46:38 2022 
Input number is 32727474344675725052769748662308037846829952487426204613700716377835892496608640151837525413819483293308299724990237687817071194062094689360079320154035356122865518661272022395922714397270222874528959644075256942231136184808800465301204624954477814853070429962870937 (266 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3838685351
Step 1 took 0ms
Step 2 took 6838ms
********** Factor found in step 2: 39125277669926753230567716970511915863007
Found prime factor of 41 digits: 39125277669926753230567716970511915863007
Composite cofactor 836479030788613811247946137208929465526250291355954978815010556008606822035896718663918266387672249710838165282494944121577734652514342051655290902411968150479079440312984019064897865653579816048863340746297287792652466233991 has 225 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMay 7, 2022 19:10:34 UTC 2022 年 5 月 8 日 (日) 4 時 10 分 34 秒 (日本時間)
4511e63584Dmitry DomanovMay 13, 2022 09:33:45 UTC 2022 年 5 月 13 日 (金) 18 時 33 分 45 秒 (日本時間)
5043e6130 / 6675Dmitry DomanovMay 13, 2022 09:33:45 UTC 2022 年 5 月 13 日 (金) 18 時 33 分 45 秒 (日本時間)