Table of contents 目次

83×10117+169

c114

name 名前Dmitry Domanov
date 日付February 22, 2023 07:34:40 UTC 2023 年 2 月 22 日 (水) 16 時 34 分 40 秒 (日本時間)
composite number 合成数
389188986420586690674469202490809513091754820316602895941180883787230850026258534023557656238277440168054617750769<114>
prime factors 素因数
646824246471002234525030502266857337259815261<45>
601692018417609542583379443006474668387864489509199674582810555096229<69>
factorization results 素因数分解の結果
N=389188986420586690674469202490809513091754820316602895941180883787230850026258534023557656238277440168054617750769
  ( 114 digits)
SNFS difficulty: 118 digits.
Divisors found:
 r1=646824246471002234525030502266857337259815261 (pp45)
 r2=601692018417609542583379443006474668387864489509199674582810555096229 (pp69)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.01 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 389188986420586690674469202490809513091754820316602895941180883787230850026258534023557656238277440168054617750769
m: 100000000000000000000000000000
deg: 4
c4: 415
c0: 8
skew: 0.37
# Murphy_E = 4.043e-08
type: snfs
lss: 1
rlim: 660000
alim: 660000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 660000/660000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [330000, 630001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 61366 x 61592
Total sieving time: 0.00 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,118.000,4,0,0,0,0,0,0,0,0,660000,660000,25,25,45,45,2.2,2.2,50000
total time: 0.01 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10124+169

c112

name 名前Dmitry Domanov
date 日付February 22, 2023 13:08:40 UTC 2023 年 2 月 22 日 (水) 22 時 8 分 40 秒 (日本時間)
composite number 合成数
7489834045781084224064757145686214360556945214316081153137223761547224323258741288917634904991276780255780905677<112>
prime factors 素因数
13255695926521915657347451431762232769163509<44>
565027599252293490877526337072727768056948259393408129891559031743353<69>
factorization results 素因数分解の結果
N=7489834045781084224064757145686214360556945214316081153137223761547224323258741288917634904991276780255780905677
  ( 112 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=13255695926521915657347451431762232769163509 (pp44)
 r2=565027599252293490877526337072727768056948259393408129891559031743353 (pp69)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.04 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 7489834045781084224064757145686214360556945214316081153137223761547224323258741288917634904991276780255780905677
m: 10000000000000000000000000000000
deg: 4
c4: 83
c0: 16
skew: 0.66
# Murphy_E = 2.203e-08
type: snfs
lss: 1
rlim: 880000
alim: 880000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 880000/880000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [440000, 740001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 94413 x 94642
Total sieving time: 0.00 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,125.000,4,0,0,0,0,0,0,0,0,880000,880000,26,26,46,46,2.3,2.3,75000
total time: 0.04 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10128+169

c116

name 名前Dmitry Domanov
date 日付March 13, 2023 19:56:33 UTC 2023 年 3 月 14 日 (火) 4 時 56 分 33 秒 (日本時間)
composite number 合成数
99361105062436035459525447969747327141019601659262530582565036238040476100487217499176666378862227630599525103509633<116>
prime factors 素因数
164047361085695531290053106793126594356637658406417019<54>
605685482563364711710209784454142734193372850414736362850899507<63>
factorization results 素因数分解の結果
N=99361105062436035459525447969747327141019601659262530582565036238040476100487217499176666378862227630599525103509633
  ( 116 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=164047361085695531290053106793126594356637658406417019 (pp54)
 r2=605685482563364711710209784454142734193372850414736362850899507 (pp63)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.03 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 99361105062436035459525447969747327141019601659262530582565036238040476100487217499176666378862227630599525103509633
m: 100000000000000000000000000000000
deg: 4
c4: 83
c0: 16
skew: 0.66
# Murphy_E = 1.411e-08
type: snfs
lss: 1
rlim: 1020000
alim: 1020000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1020000/1020000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [510000, 910001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 118617 x 118842
Total sieving time: 0.00 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,129.000,4,0,0,0,0,0,0,0,0,1020000,1020000,26,26,47,47,2.3,2.3,100000
total time: 0.03 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e67000x_49997March 11, 2023 15:01:28 UTC 2023 年 3 月 12 日 (日) 0 時 1 分 28 秒 (日本時間)

83×10131+169

c102

name 名前Lionel Debroux
date 日付March 6, 2023 22:58:15 UTC 2023 年 3 月 7 日 (火) 7 時 58 分 15 秒 (日本時間)
composite number 合成数
265644196651187998289877433297804489614465640911520118297714487950912183787447275422837088602526128583<102>
prime factors 素因数
3206441738645652491541359628542598225536187960971<49>
82847036778965981192177018149924123518555798437438773<53>
factorization results 素因数分解の結果
82847036778965981192177018149924123518555798437438773 3206441738645652491541359628542598225536187960971
software ソフトウェア
CADO-NFS

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10139+169

c138

name 名前Bob Backstrom
date 日付February 22, 2023 08:33:34 UTC 2023 年 2 月 22 日 (水) 17 時 33 分 34 秒 (日本時間)
composite number 合成数
122635933806146572104018912529550827423167848699763593380614657210401891252955082742316784869976359338061465721040189125295508274231678487<138>
prime factors 素因数
2227015452375557477693205940754894162940669512387<49>
55067392404184181255317798135121145054291923321230297237516924160475714517445510479350301<89>
factorization results 素因数分解の結果
Number: n
N=122635933806146572104018912529550827423167848699763593380614657210401891252955082742316784869976359338061465721040189125295508274231678487  ( 138 digits)
SNFS difficulty: 140 digits.
Divisors found:

Wed Feb 22 17:14:35 2023  prp49 factor: 2227015452375557477693205940754894162940669512387
Wed Feb 22 17:14:35 2023  prp89 factor: 55067392404184181255317798135121145054291923321230297237516924160475714517445510479350301
Wed Feb 22 17:14:35 2023  elapsed time 00:03:32 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.076).
Factorization parameters were as follows:
#
# N = 83x10^139+16 = 92(138)4
#
n: 122635933806146572104018912529550827423167848699763593380614657210401891252955082742316784869976359338061465721040189125295508274231678487
m: 5000000000000000000000000000
deg: 5
c5: 83
c0: 5
skew: 0.57
# Murphy_E = 4.778e-09
type: snfs
lss: 1
rlim: 1530000
alim: 1530000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1530000/1530000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved  special-q in [100000, 9165000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 700236 hash collisions in 8019877 relations (7883515 unique)
Msieve: matrix is 284231 x 284477 (42.7 MB)

Sieving start time: 2023/02/22 16:49:54
Sieving end time  : 2023/02/22 17:10:53

Total sieving time: 0hrs 20min 59secs.

Total relation processing time: 0hrs 1min 39sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 10sec.

Prototype def-par.txt line would be:
snfs,140,5,0,0,0,0,0,0,0,0,1530000,1530000,26,26,48,48,2.3,2.3,75000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10140+169

c138

name 名前Bob Backstrom
date 日付February 22, 2023 08:28:24 UTC 2023 年 2 月 22 日 (水) 17 時 28 分 24 秒 (日本時間)
composite number 合成数
249518999518999518999518999518999518999518999518999518999518999518999518999518999518999518999518999518999518999518999518999518999518999519<138>
prime factors 素因数
3376972580931087988077994712452115081162085593550327049876633553341<67>
73888369993872720529925526863909944866315478178395903543514285130176459<71>
factorization results 素因数分解の結果
Number: n
N=249518999518999518999518999518999518999518999518999518999518999518999518999518999518999518999518999518999518999518999518999518999518999519  ( 138 digits)
SNFS difficulty: 141 digits.
Divisors found:

Wed Feb 22 16:47:14 2023  prp67 factor: 3376972580931087988077994712452115081162085593550327049876633553341
Wed Feb 22 16:47:14 2023  prp71 factor: 73888369993872720529925526863909944866315478178395903543514285130176459
Wed Feb 22 16:47:14 2023  elapsed time 00:03:02 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.076).
Factorization parameters were as follows:
#
# N = 83x10^140+16 = 92(139)4
#
n: 249518999518999518999518999518999518999518999518999518999518999518999518999518999518999518999518999518999518999518999518999518999518999519
m: 100000000000000000000000000000000000
deg: 4
c4: 83
c0: 16
skew: 0.66
# Murphy_E = 3.601e-09
type: snfs
lss: 1
rlim: 1620000
alim: 1620000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1620000/1620000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved  special-q in [100000, 12010000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 443255 hash collisions in 6555795 relations (6844871 unique)
Msieve: matrix is 236452 x 236677 (64.0 MB)

Sieving start time: 2023/02/22 15:33:37
Sieving end time  : 2023/02/22 16:37:49

Total sieving time: 1hrs 4min 12secs.

Total relation processing time: 0hrs 1min 30sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 21sec.

Prototype def-par.txt line would be:
snfs,141,4,0,0,0,0,0,0,0,0,1620000,1620000,26,26,48,48,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10141+169

c141

name 名前Bob Backstrom
date 日付February 23, 2023 03:32:36 UTC 2023 年 2 月 23 日 (木) 12 時 32 分 36 秒 (日本時間)
composite number 合成数
576388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<141>
prime factors 素因数
7597067774441152597196088676641695053406426382912207918052928650849<67>
75869915341289500873028759286902155881441168594124415776294634880242527961<74>
factorization results 素因数分解の結果
Number: n
N=576388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889  ( 141 digits)
SNFS difficulty: 142 digits.
Divisors found:

Thu Feb 23 14:21:49 2023  prp67 factor: 7597067774441152597196088676641695053406426382912207918052928650849
Thu Feb 23 14:21:49 2023  prp74 factor: 75869915341289500873028759286902155881441168594124415776294634880242527961
Thu Feb 23 14:21:49 2023  elapsed time 00:03:49 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.086).
Factorization parameters were as follows:
#
# N = 83x10^141+16 = 92(140)4
#
n: 576388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889
m: 10000000000000000000000000000
deg: 5
c5: 415
c0: 8
skew: 0.45
# Murphy_E = 3.286e-09
type: snfs
lss: 1
rlim: 1670000
alim: 1670000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1670000/1670000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved  special-q in [100000, 26435000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 462237 hash collisions in 6682732 relations (6689648 unique)
Msieve: matrix is 284421 x 284646 (77.7 MB)

Sieving start time: 2023/02/23 13:16:39
Sieving end time  : 2023/02/23 14:09:49

Total sieving time: 0hrs 53min 10secs.

Total relation processing time: 0hrs 2min 7sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 27sec.

Prototype def-par.txt line would be:
snfs,142,5,0,0,0,0,0,0,0,0,1670000,1670000,26,26,48,48,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10147+169

c110

name 名前Lionel Debroux
date 日付March 9, 2023 09:22:42 UTC 2023 年 3 月 9 日 (木) 18 時 22 分 42 秒 (日本時間)
composite number 合成数
77142948931566105597248450791893835948859469562263843897505140994284583425960009465324400541550829602281802503<110>
prime factors 素因数
6102120646543856000507491697607435417031<40>
12641990121132502336879248187394503021191925745064111832868783507538113<71>
factorization results 素因数分解の結果
12641990121132502336879248187394503021191925745064111832868783507538113 6102120646543856000507491697607435417031
software ソフトウェア
CADO-NFS

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10149+169

c122

name 名前Bob Backstrom
date 日付February 27, 2023 12:31:03 UTC 2023 年 2 月 27 日 (月) 21 時 31 分 3 秒 (日本時間)
composite number 合成数
11411765896809541280513310195684875826538428456458066026447604641786991574674289312399437067269856752425239726050385815803<122>
prime factors 素因数
957381745481681302802886927342255881406387331<45>
11919765496539745602769086791849422581944787390173332383996388740677714665513<77>
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 11411765896809541280513310195684875826538428456458066026447604641786991574674289312399437067269856752425239726050385815803 (122 digits)
Using B1=39400000, B2=192393080896, polynomial Dickson(12), sigma=1:970809911
Step 1 took 61718ms
Step 2 took 22826ms
********** Factor found in step 2: 957381745481681302802886927342255881406387331
Found prime factor of 45 digits: 957381745481681302802886927342255881406387331
Prime cofactor 11919765496539745602769086791849422581944787390173332383996388740677714665513 has 77 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10150+169

c123

name 名前Bob Backstrom
date 日付February 28, 2023 01:47:36 UTC 2023 年 2 月 28 日 (火) 10 時 47 分 36 秒 (日本時間)
composite number 合成数
212916214580874400396883260871168862764904783488792816004133731585814409404064977848554463619541421046339772613035255183453<123>
prime factors 素因数
43987815864934415835942585991454676470696296969784389<53>
4840345227292904382361394146716633799813682125659363831464359975819577<70>
factorization results 素因数分解の結果
Number: n
N=212916214580874400396883260871168862764904783488792816004133731585814409404064977848554463619541421046339772613035255183453  ( 123 digits)
SNFS difficulty: 151 digits.
Divisors found:

Tue Feb 28 12:44:52 2023  prp53 factor: 43987815864934415835942585991454676470696296969784389
Tue Feb 28 12:44:52 2023  prp70 factor: 4840345227292904382361394146716633799813682125659363831464359975819577
Tue Feb 28 12:44:52 2023  elapsed time 00:06:45 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.093).
Factorization parameters were as follows:
#
# N = 83x10^150+16 = 92(149)4
#
n: 212916214580874400396883260871168862764904783488792816004133731585814409404064977848554463619541421046339772613035255183453
m: 1000000000000000000000000000000
deg: 5
c5: 83
c0: 16
skew: 0.72
# Murphy_E = 1.495e-09
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved  special-q in [100000, 12400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1084103 hash collisions in 13745525 relations (13585838 unique)
Msieve: matrix is 424759 x 425004 (63.6 MB)

Sieving start time: 2023/02/28 11:36:27
Sieving end time  : 2023/02/28 12:37:59

Total sieving time: 1hrs 1min 32secs.

Total relation processing time: 0hrs 3min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 16sec.

Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,49,49,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10151+169

c138

name 名前Bob Backstrom
date 日付February 28, 2023 23:19:57 UTC 2023 年 3 月 1 日 (水) 8 時 19 分 57 秒 (日本時間)
composite number 合成数
495024642209177384346075912109400188670234104642010509554163108144176084719540330235151652364092313805066171803933126729462529284700227487<138>
prime factors 素因数
166469047354011113439930775086530677352508278177<48>
2973673785472345597940961378629885445785779887515257128688688687601736955185874199259252031<91>
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 495024642209177384346075912109400188670234104642010509554163108144176084719540330235151652364092313805066171803933126729462529284700227487 (138 digits)
Using B1=31990000, B2=144291357226, polynomial Dickson(12), sigma=1:718816149
Step 1 took 67202ms
Step 2 took 24662ms
********** Factor found in step 2: 166469047354011113439930775086530677352508278177
Found prime factor of 48 digits: 166469047354011113439930775086530677352508278177
Prime cofactor 2973673785472345597940961378629885445785779887515257128688688687601736955185874199259252031 has 91 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10153+169

c120

name 名前Bob Backstrom
date 日付March 1, 2023 21:48:20 UTC 2023 年 3 月 2 日 (木) 6 時 48 分 20 秒 (日本時間)
composite number 合成数
121197211712335546349805399394284564086672511857399752722355046316526635313616882725304447535568766668260781511205181073<120>
prime factors 素因数
231977048223508616995648512143249785631791<42>
522453460980168589099115975943758892674257117609019958043408464703490151952703<78>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 121197211712335546349805399394284564086672511857399752722355046316526635313616882725304447535568766668260781511205181073 (120 digits)
Using B1=30590000, B2=144289975846, polynomial Dickson(12), sigma=1:761707885
Step 1 took 48511ms
Step 2 took 19273ms
********** Factor found in step 2: 231977048223508616995648512143249785631791
Found prime factor of 42 digits: 231977048223508616995648512143249785631791
Prime cofactor 522453460980168589099115975943758892674257117609019958043408464703490151952703 has 78 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10155+169

c130

name 名前Bob Backstrom
date 日付March 2, 2023 04:16:02 UTC 2023 年 3 月 2 日 (木) 13 時 16 分 2 秒 (日本時間)
composite number 合成数
2258286431697721284540550069459600159055333892818324921197117433582907351467751392814045655855131753277352942363397650539722646777<130>
prime factors 素因数
4469323507993319289204184141478979349855571186033<49>
505285962776874229782662612115647758019077926776202806669878823057675097332418569<81>
factorization results 素因数分解の結果
Number: n
N=2258286431697721284540550069459600159055333892818324921197117433582907351467751392814045655855131753277352942363397650539722646777  ( 130 digits)
SNFS difficulty: 156 digits.
Divisors found:

Thu Mar  2 15:11:42 2023  prp49 factor: 4469323507993319289204184141478979349855571186033
Thu Mar  2 15:11:42 2023  prp81 factor: 505285962776874229782662612115647758019077926776202806669878823057675097332418569
Thu Mar  2 15:11:42 2023  elapsed time 00:08:01 (Msieve 1.44 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.101).
Factorization parameters were as follows:
#
# N = 83x10^155+16 = 92(154)4
#
n: 2258286431697721284540550069459600159055333892818324921197117433582907351467751392814045655855131753277352942363397650539722646777
m: 10000000000000000000000000000000
deg: 5
c5: 83
c0: 16
skew: 0.72
# Murphy_E = 9.624e-10
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 12650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1252189 hash collisions in 14771766 relations (14522285 unique)
Msieve: matrix is 391564 x 391790 (106.4 MB)

Sieving start time: 2023/03/02 13:45:10
Sieving end time  : 2023/03/02 15:03:31

Total sieving time: 1hrs 18min 21secs.

Total relation processing time: 0hrs 3min 54sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 16sec.

Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ---------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10157+169

c157

name 名前Bob Backstrom
date 日付March 3, 2023 05:37:03 UTC 2023 年 3 月 3 日 (金) 14 時 37 分 3 秒 (日本時間)
composite number 合成数
5763888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<157>
prime factors 素因数
35936261144227764997830524115415824635387527306651839987601735114523<68>
160392002544613888416295773125864804732367385379376733058412912670646194540015375022102843<90>
factorization results 素因数分解の結果
Number: n
N=5763888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889  ( 157 digits)
SNFS difficulty: 158 digits.
Divisors found:

Fri Mar  3 16:32:24 2023  prp68 factor: 35936261144227764997830524115415824635387527306651839987601735114523
Fri Mar  3 16:32:24 2023  prp90 factor: 160392002544613888416295773125864804732367385379376733058412912670646194540015375022102843
Fri Mar  3 16:32:24 2023  elapsed time 00:09:04 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.085).
Factorization parameters were as follows:
#
# N = 83x10^157+16 = 92(156)4
#
n: 5763888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889
m: 10000000000000000000000000000000
deg: 5
c5: 2075
c0: 4
skew: 0.29
# Murphy_E = 7.037e-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, 12700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1074381 hash collisions in 12864187 relations (12627666 unique)
Msieve: matrix is 484102 x 484337 (133.2 MB)

Sieving start time: 2023/03/03 14:48:58
Sieving end time  : 2023/03/03 16:23:11

Total sieving time: 1hrs 34min 13secs.

Total relation processing time: 0hrs 6min 9sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 29sec.

Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10158+169

c151

name 名前Bob Backstrom
date 日付March 3, 2023 20:20:06 UTC 2023 年 3 月 4 日 (土) 5 時 20 分 6 秒 (日本時間)
composite number 合成数
1615940571066825025416058438317215217824630366482954705296377845613327541428518690501321272445091344003986238023968496538455932540550864374944265625629<151>
prime factors 素因数
20362503838420173173706011912191660384943932913980226834355359765737339<71>
79358638008841152937534788508601936723179370685325219057417973744980641121079111<80>
factorization results 素因数分解の結果
Number: n
N=1615940571066825025416058438317215217824630366482954705296377845613327541428518690501321272445091344003986238023968496538455932540550864374944265625629  ( 151 digits)
SNFS difficulty: 159 digits.
Divisors found:

Sat Mar  4 07:16:03 2023  prp71 factor: 20362503838420173173706011912191660384943932913980226834355359765737339
Sat Mar  4 07:16:03 2023  prp80 factor: 79358638008841152937534788508601936723179370685325219057417973744980641121079111
Sat Mar  4 07:16:03 2023  elapsed time 00:08:58 (Msieve 1.44 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.093).
Factorization parameters were as follows:
#
# N = 83x10^158+16 = 92(157)4
#
n: 1615940571066825025416058438317215217824630366482954705296377845613327541428518690501321272445091344003986238023968496538455932540550864374944265625629
m: 10000000000000000000000000000000
deg: 5
c5: 10375
c0: 2
skew: 0.18
# Murphy_E = 7.768e-10
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 19950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 812799 hash collisions in 11942298 relations (11933573 unique)
Msieve: matrix is 429649 x 429893 (119.8 MB)

Sieving start time: 2023/03/04 05:00:31
Sieving end time  : 2023/03/04 07:06:46

Total sieving time: 2hrs 6min 15secs.

Total relation processing time: 0hrs 4min 50sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 52sec.

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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10159+169

c120

name 名前Lionel Debroux
date 日付March 6, 2023 22:06:17 UTC 2023 年 3 月 7 日 (火) 7 時 6 分 17 秒 (日本時間)
composite number 合成数
266603585730116732249443965272325383586208931722988352910758027062379347781882050597921765308704962852470857823859239333<120>
prime factors 素因数
252332044165427012641432056664262859574471386291615817007<57>
1056558577852812871577155751783068551843050985307047178885216619<64>
factorization results 素因数分解の結果
252332044165427012641432056664262859574471386291615817007 1056558577852812871577155751783068551843050985307047178885216619
software ソフトウェア
CADO-NFS

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10161+169

c150

name 名前Bob Backstrom
date 日付March 6, 2023 02:41:14 UTC 2023 年 3 月 6 日 (月) 11 時 41 分 14 秒 (日本時間)
composite number 合成数
762754932914949371885843464946502227767436380730478693835326058652457016719879440859669109201799392963461200793034404914621553293096793390178352883583<150>
prime factors 素因数
507890066153076392748677449404225569960922290105189741<54>
1501811088159888419476118935549303698819700840213016254429988852134652414006651577784586614343963<97>
factorization results 素因数分解の結果
Number: n
N=762754932914949371885843464946502227767436380730478693835326058652457016719879440859669109201799392963461200793034404914621553293096793390178352883583  ( 150 digits)
SNFS difficulty: 162 digits.
Divisors found:

Mon Mar  6 13:34:26 2023  prp54 factor: 507890066153076392748677449404225569960922290105189741
Mon Mar  6 13:34:26 2023  prp97 factor: 1501811088159888419476118935549303698819700840213016254429988852134652414006651577784586614343963
Mon Mar  6 13:34:26 2023  elapsed time 00:08:14 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.097).
Factorization parameters were as follows:
#
# N = 83x10^161+16 = 92(160)4
#
n: 762754932914949371885843464946502227767436380730478693835326058652457016719879440859669109201799392963461200793034404914621553293096793390178352883583
m: 100000000000000000000000000000000
deg: 5
c5: 415
c0: 8
skew: 0.45
# Murphy_E = 5.689e-10
type: snfs
lss: 1
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 5800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1322503 hash collisions in 13501567 relations (13026940 unique)
Msieve: matrix is 448559 x 448786 (125.5 MB)

Sieving start time: 2023/03/06 12:28:08
Sieving end time  : 2023/03/06 13:25:35

Total sieving time: 0hrs 57min 27secs.

Total relation processing time: 0hrs 5min 16sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 27sec.

Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10165+169

c156

name 名前Bob Backstrom
date 日付March 8, 2023 08:28:25 UTC 2023 年 3 月 8 日 (水) 17 時 28 分 25 秒 (日本時間)
composite number 合成数
295534461418333352318467134847067886271662075908974347424905089725845411909236297321642594382673073275653596476251560561320370967733583792553964300538756167<156>
prime factors 素因数
86906769450975343431636563358840452796441298298989355169145709<62>
3400591959468084994926984110250474198186836595282992266676551307035437843038873843902675458563<94>
factorization results 素因数分解の結果
Number: n
N=295534461418333352318467134847067886271662075908974347424905089725845411909236297321642594382673073275653596476251560561320370967733583792553964300538756167  ( 156 digits)
SNFS difficulty: 166 digits.
Divisors found:

Wed Mar  8 19:21:05 2023  prp62 factor: 86906769450975343431636563358840452796441298298989355169145709
Wed Mar  8 19:21:05 2023  prp94 factor: 3400591959468084994926984110250474198186836595282992266676551307035437843038873843902675458563
Wed Mar  8 19:21:05 2023  elapsed time 00:10:42 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.102).
Factorization parameters were as follows:
#
# N = 83x10^165+16 = 92(164)4
#
n: 295534461418333352318467134847067886271662075908974347424905089725845411909236297321642594382673073275653596476251560561320370967733583792553964300538756167
m: 1000000000000000000000000000000000
deg: 5
c5: 83
c0: 16
skew: 0.72
# Murphy_E = 3.929e-10
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 13300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1422533 hash collisions in 13530893 relations (12931754 unique)
Msieve: matrix is 534338 x 534570 (149.2 MB)

Sieving start time: 2023/03/08 17:55:08
Sieving end time  : 2023/03/08 19:09:51

Total sieving time: 1hrs 14min 43secs.

Total relation processing time: 0hrs 7min 38sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 30sec.

Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10171+169

c171

name 名前ebina
date 日付February 24, 2023 15:28:00 UTC 2023 年 2 月 25 日 (土) 0 時 28 分 0 秒 (日本時間)
composite number 合成数
576388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<171>
prime factors 素因数
12841888701679863071762497339724185761586321487<47>
44883498236010311915465984028068492868860835846334305439635334500652612248942953630363613411011264850111522853272989029517047<125>
factorization results 素因数分解の結果
Number: 92224_171
N = 576388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889 (171 digits)
SNFS difficulty: 173 digits.
Divisors found:
r1=12841888701679863071762497339724185761586321487 (pp47)
r2=44883498236010311915465984028068492868860835846334305439635334500652612248942953630363613411011264850111522853272989029517047 (pp125)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 1.88 hours.
Factorization parameters were as follows:
n: 576388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889
m: 10000000000000000000000000000000000
deg: 5
c5: 415
c0: 8
skew: 0.45
# Murphy_E = 2.298e-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
Sieved rational special-q in [0, 0)
Total raw relations: 11807345
Relations: 1179166 relations
Pruned matrix : 743610 x 743835
Total sieving time: 1.68 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.08 hours.
time per square root: 0.07 hours.
Prototype def-par.txt line would be: snfs,173,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,52,52,2.4,2.4,100000
total time: 1.88 hours.
Intel64 Family 6 Model 158 Stepping 12, GenuineIntel
processors: 16, speed: 3.60GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10174+169

c139

name 名前anonymous
date 日付March 12, 2023 12:16:19 UTC 2023 年 3 月 12 日 (日) 21 時 16 分 19 秒 (日本時間)
composite number 合成数
7795433006856469392949475399951987953762743047288465733662942196768604612288316987914673052325204666167078504744384671616814168952684719999<139>
prime factors 素因数
319979619822816620168416995304782061591589<42>
24362279732606284288902934218624819201013097351552657722824561749250227708219452779924736215988691<98>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=0:17015785648836986414
Step 1 took 41422ms
********** Factor found in step 1: 319979619822816620168416995304782061591589
Found prime factor of 42 digits: 319979619822816620168416995304782061591589
Prime cofactor 24362279732606284288902934218624819201013097351552657722824561749250227708219452779924736215988691 has 98 digits
software ソフトウェア
GMP-ECM 7.0.5

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10178+169

c172

name 名前Bob Backstrom
date 日付March 17, 2023 03:27:01 UTC 2023 年 3 月 17 日 (金) 12 時 27 分 1 秒 (日本時間)
composite number 合成数
5391563676107905274357577649170146109037112977969265332801608229391780689793798542911078538271475598484354799499829184869365140389042762817033038358935855514616048432299577<172>
prime factors 素因数
3079956934075899917096341867634965804308882860166173327368271517890012857660260779<82>
1750532163764027496708305602747159620113298411256254017770137917421685640969035895046939563<91>
factorization results 素因数分解の結果
Number: n
N=5391563676107905274357577649170146109037112977969265332801608229391780689793798542911078538271475598484354799499829184869365140389042762817033038358935855514616048432299577  ( 172 digits)
SNFS difficulty: 179 digits.
Divisors found:

Fri Mar 17 13:16:35 2023  prp82 factor: 3079956934075899917096341867634965804308882860166173327368271517890012857660260779
Fri Mar 17 13:16:35 2023  prp91 factor: 1750532163764027496708305602747159620113298411256254017770137917421685640969035895046939563
Fri Mar 17 13:16:35 2023  elapsed time 00:32:11 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.100).
Factorization parameters were as follows:
#
# N = 83x10^178+16 = 92(177)4
#
n: 5391563676107905274357577649170146109037112977969265332801608229391780689793798542911078538271475598484354799499829184869365140389042762817033038358935855514616048432299577
m: 100000000000000000000000000000000000
deg: 5
c5: 10375
c0: 2
skew: 0.18
# Murphy_E = 1.263e-10
type: snfs
lss: 1
rlim: 6700000
alim: 6700000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6700000/6700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 14550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1626494 hash collisions in 13934891 relations (13117891 unique)
Msieve: matrix is 996125 x 996350 (283.1 MB)

Sieving start time: 2023/03/17 10:49:11
Sieving end time  : 2023/03/17 12:44:07

Total sieving time: 1hrs 54min 56secs.

Total relation processing time: 0hrs 27min 56sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 18sec.

Prototype def-par.txt line would be:
snfs,179,5,0,0,0,0,0,0,0,0,6700000,6700000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10180+169

c179

name 名前Ignacio Santos
date 日付March 15, 2023 16:23:07 UTC 2023 年 3 月 16 日 (木) 1 時 23 分 7 秒 (日本時間)
composite number 合成数
52398989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989899<179>
prime factors 素因数
2666387328166191502556606704689173284411<40>
composite cofactor 合成数の残り
19651679763655086198420415459940248751623778228406439040015425864921125309489262671974895425115288404851010060317792114840891860090936668209<140>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1129702477
Step 1 took 4266ms
********** Factor found in step 1: 2666387328166191502556606704689173284411
Found prime factor of 40 digits: 2666387328166191502556606704689173284411
Composite cofactor 19651679763655086198420415459940248751623778228406439040015425864921125309489262671974895425115288404851010060317792114840891860090936668209 has 140 digits
software ソフトウェア
GMP-ECM

c140

name 名前Eric Jeancolas
date 日付May 12, 2023 13:38:43 UTC 2023 年 5 月 12 日 (金) 22 時 38 分 43 秒 (日本時間)
composite number 合成数
19651679763655086198420415459940248751623778228406439040015425864921125309489262671974895425115288404851010060317792114840891860090936668209<140>
prime factors 素因数
382985074767058282204926431417050399792404487491803<51>
51311868421002465883777635617488549671298305800172373884588721032601387150783916780837603<89>
factorization results 素因数分解の結果
19651679763655086198420415459940248751623778228406439040015425864921125309489262671974895425115288404851010060317792114840891860090936668209=382985074767058282204926431417050399792404487491803*51311868421002465883777635617488549671298305800172373884588721032601387150783916780837603

cado polynomial
n: 19651679763655086198420415459940248751623778228406439040015425864921125309489262671974895425115288404851010060317792114840891860090936668209
skew: 0.72
type: snfs
c0: 16
c5: 83
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 83*x^5+16
# 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: 382985074767058282204926431417050399792404487491803 51311868421002465883777635617488549671298305800172373884588721032601387150783916780837603
Info:Square Root: Total cpu/real time for sqrt: 597.1/184.513
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22409136
Info:Lattice Sieving: Average J: 1894.01 for 879772 special-q, max bucket fill -bkmult 1.0,1s:1.169010
Info:Lattice Sieving: Total time: 150625s
Info:Linear Algebra: Total cpu/real time for bwc: 16430.4/4218.02
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 10425.17, WCT time 2665.94, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (32256 iterations)
Info:Linear Algebra: Lingen CPU time 186.62, WCT time 47.45
Info:Linear Algebra: Mksol: CPU time 5652.07,  WCT time 1443.4, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (16128 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 3.16/1.83023
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 228.05/220.743
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 204.2s
Info:Generate Free Relations: Total cpu/real time for freerel: 120.61/31.4794
Info:Square Root: Total cpu/real time for sqrt: 597.1/184.513
Info:Quadratic Characters: Total cpu/real time for characters: 34.08/13.3689
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 93.32/90.9907
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 90.8s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 130.62/119.992
Info:Filtering - Merging: Merged matrix has 1024094 rows and total weight 174199154 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 245.77/67.6027
Info:Filtering - Merging: Total cpu/real time for replay: 34.89/30.1811
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 305817/55654.3
Info:root: Cleaning up computation data in /tmp/cado.rcgkh0ck
382985074767058282204926431417050399792404487491803 51311868421002465883777635617488549671298305800172373884588721032601387150783916780837603
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 28, 2023 14:05:57 UTC 2023 年 3 月 28 日 (火) 23 時 5 分 57 秒 (日本時間)

83×10181+169

c154

name 名前Bob Backstrom
date 日付March 26, 2023 22:41:14 UTC 2023 年 3 月 27 日 (月) 7 時 41 分 14 秒 (日本時間)
composite number 合成数
1129956925030103861798493779398328855928664456843649692421144764353835764241415195419275344490198210494420922783806175903867197558893787254415015326752233<154>
prime factors 素因数
600581352805555409252113068100142900888152238763096705793351333828400633<72>
1881438575726042256381595221157173890918387821867902166994045529136383076912825201<82>
factorization results 素因数分解の結果
Number: n
N=1129956925030103861798493779398328855928664456843649692421144764353835764241415195419275344490198210494420922783806175903867197558893787254415015326752233  ( 154 digits)
SNFS difficulty: 182 digits.
Divisors found:

Mon Mar 27 09:23:21 2023  prp72 factor: 600581352805555409252113068100142900888152238763096705793351333828400633
Mon Mar 27 09:23:21 2023  prp82 factor: 1881438575726042256381595221157173890918387821867902166994045529136383076912825201
Mon Mar 27 09:23:21 2023  elapsed time 00:30:47 (Msieve 1.44 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.085).
Factorization parameters were as follows:
#
# N = 83x10^181+16 = 92(180)4
#
n: 1129956925030103861798493779398328855928664456843649692421144764353835764241415195419275344490198210494420922783806175903867197558893787254415015326752233
m: 1000000000000000000000000000000000000
deg: 5
c5: 415
c0: 8
skew: 0.45
# Murphy_E = 9.112e-11
type: snfs
lss: 1
rlim: 7700000
alim: 7700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 7700000/7700000
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 1570524 hash collisions in 14864563 relations (14225725 unique)
Msieve: matrix is 893107 x 893335 (251.4 MB)

Sieving start time: 2023/03/27 05:16:13
Sieving end time  : 2023/03/27 08:52:15

Total sieving time: 3hrs 36min 2secs.

Total relation processing time: 0hrs 23min 7sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 22sec.

Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,7700000,7700000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10182+169

c108

name 名前Ignacio Santos
date 日付February 21, 2023 15:45:35 UTC 2023 年 2 月 22 日 (水) 0 時 45 分 35 秒 (日本時間)
composite number 合成数
111446539693501110313406700104255462814148994627003796158868475844002467869079592742537351295384893053881121<108>
prime factors 素因数
73591735798902730752296399463616101631<38>
1514389333036533745649169140237246250805750411710940477161154378061791<70>
factorization results 素因数分解の結果
-> makeJobFile(): Adjusted to q0=1250000, q1=1400000.
->               client 1 q0: 1250000
      LatSieveTime: 55
        LatSieveTime: 57
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        LatSieveTime: 60
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        LatSieveTime: 70
-> makeJobFile(): Adjusted to q0=1400001, q1=1550000.
->               client 1 q0: 1400001
      LatSieveTime: 56
        LatSieveTime: 57
        LatSieveTime: 57
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-> makeJobFile(): Adjusted to q0=1550001, q1=1700000.
->               client 1 q0: 1550001
      LatSieveTime: 55
        LatSieveTime: 57
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-> makeJobFile(): Adjusted to q0=1700001, q1=1850000.
->               client 1 q0: 1700001
      LatSieveTime: 57
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-> makeJobFile(): Adjusted to q0=1850001, q1=2000000.
->               client 1 q0: 1850001
      LatSieveTime: 50
        LatSieveTime: 57
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-> makeJobFile(): Adjusted to q0=2000001, q1=2150000.
->               client 1 q0: 2000001
      LatSieveTime: 56
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-> makeJobFile(): Adjusted to q0=2150001, q1=2300000.
->               client 1 q0: 2150001
      LatSieveTime: 55
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        LatSieveTime: 70
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        LatSieveTime: 70
        LatSieveTime: 70
        LatSieveTime: 70
        LatSieveTime: 71
        LatSieveTime: 71
        LatSieveTime: 71
        LatSieveTime: 71
        LatSieveTime: 71
        LatSieveTime: 73
        LatSieveTime: 73
        LatSieveTime: 73
        LatSieveTime: 74
        LatSieveTime: 76
        LatSieveTime: 77
Tue Feb 21 16:39:32 2023  
Tue Feb 21 16:39:32 2023  
Tue Feb 21 16:39:32 2023  Msieve v. 1.52 (SVN 927)
Tue Feb 21 16:39:32 2023  random seeds: 12deb918 4105f37b
Tue Feb 21 16:39:32 2023  factoring 111446539693501110313406700104255462814148994627003796158868475844002467869079592742537351295384893053881121 (108 digits)
Tue Feb 21 16:39:32 2023  searching for 15-digit factors
Tue Feb 21 16:39:32 2023  commencing number field sieve (108-digit input)
Tue Feb 21 16:39:32 2023  R0: -448803636962759163237
Tue Feb 21 16:39:32 2023  R1: 139366391767
Tue Feb 21 16:39:32 2023  A0: -1545105850288077205104800
Tue Feb 21 16:39:32 2023  A1: 1881779913360336949228
Tue Feb 21 16:39:32 2023  A2: -309085230512344651
Tue Feb 21 16:39:32 2023  A3: 6214138540094
Tue Feb 21 16:39:32 2023  A4: 1512494052
Tue Feb 21 16:39:32 2023  A5: 6120
Tue Feb 21 16:39:32 2023  skew 15511.59, size 2.675e-010, alpha -5.729, combined = 1.303e-009 rroots = 3
Tue Feb 21 16:39:32 2023  
Tue Feb 21 16:39:32 2023  commencing relation filtering
Tue Feb 21 16:39:32 2023  estimated available RAM is 65413.5 MB
Tue Feb 21 16:39:32 2023  commencing duplicate removal, pass 1
Tue Feb 21 16:39:40 2023  found 442869 hash collisions in 4359735 relations
Tue Feb 21 16:39:45 2023  added 31614 free relations
Tue Feb 21 16:39:45 2023  commencing duplicate removal, pass 2
Tue Feb 21 16:39:46 2023  found 357278 duplicates and 4034071 unique relations
Tue Feb 21 16:39:46 2023  memory use: 17.3 MB
Tue Feb 21 16:39:46 2023  reading ideals above 100000
Tue Feb 21 16:39:46 2023  commencing singleton removal, initial pass
Tue Feb 21 16:39:59 2023  memory use: 94.1 MB
Tue Feb 21 16:39:59 2023  reading all ideals from disk
Tue Feb 21 16:39:59 2023  memory use: 130.4 MB
Tue Feb 21 16:39:59 2023  keeping 4618565 ideals with weight <= 200, target excess is 22658
Tue Feb 21 16:39:59 2023  commencing in-memory singleton removal
Tue Feb 21 16:39:59 2023  begin with 4034071 relations and 4618565 unique ideals
Tue Feb 21 16:40:00 2023  reduce to 1168299 relations and 1205754 ideals in 22 passes
Tue Feb 21 16:40:00 2023  max relations containing the same ideal: 81
Tue Feb 21 16:40:00 2023  filtering wants 1000000 more relations
Tue Feb 21 16:40:00 2023  elapsed time 00:00:28
-> makeJobFile(): Adjusted to q0=2300001, q1=2450000.
->               client 1 q0: 2300001
     LatSieveTime: 56
        LatSieveTime: 58
        LatSieveTime: 59
        LatSieveTime: 59
        LatSieveTime: 60
        LatSieveTime: 62
        LatSieveTime: 62
        LatSieveTime: 62
        LatSieveTime: 62
        LatSieveTime: 63
        LatSieveTime: 63
        LatSieveTime: 63
        LatSieveTime: 64
        LatSieveTime: 64
        LatSieveTime: 64
        LatSieveTime: 65
        LatSieveTime: 65
        LatSieveTime: 66
        LatSieveTime: 66
        LatSieveTime: 67
        LatSieveTime: 67
        LatSieveTime: 67
        LatSieveTime: 67
        LatSieveTime: 68
        LatSieveTime: 68
        LatSieveTime: 68
        LatSieveTime: 68
        LatSieveTime: 68
        LatSieveTime: 68
        LatSieveTime: 68
        LatSieveTime: 69
        LatSieveTime: 69
        LatSieveTime: 69
        LatSieveTime: 69
        LatSieveTime: 70
        LatSieveTime: 70
        LatSieveTime: 70
        LatSieveTime: 71
        LatSieveTime: 71
        LatSieveTime: 71
        LatSieveTime: 72
        LatSieveTime: 72
        LatSieveTime: 74
        LatSieveTime: 75
        LatSieveTime: 76
        LatSieveTime: 79
Tue Feb 21 16:41:22 2023  
Tue Feb 21 16:41:22 2023  
Tue Feb 21 16:41:22 2023  Msieve v. 1.52 (SVN 927)
Tue Feb 21 16:41:22 2023  random seeds: ffebeb70 8b65b952
Tue Feb 21 16:41:22 2023  factoring 111446539693501110313406700104255462814148994627003796158868475844002467869079592742537351295384893053881121 (108 digits)
Tue Feb 21 16:41:23 2023  searching for 15-digit factors
Tue Feb 21 16:41:23 2023  commencing number field sieve (108-digit input)
Tue Feb 21 16:41:23 2023  R0: -448803636962759163237
Tue Feb 21 16:41:23 2023  R1: 139366391767
Tue Feb 21 16:41:23 2023  A0: -1545105850288077205104800
Tue Feb 21 16:41:23 2023  A1: 1881779913360336949228
Tue Feb 21 16:41:23 2023  A2: -309085230512344651
Tue Feb 21 16:41:23 2023  A3: 6214138540094
Tue Feb 21 16:41:23 2023  A4: 1512494052
Tue Feb 21 16:41:23 2023  A5: 6120
Tue Feb 21 16:41:23 2023  skew 15511.59, size 2.675e-010, alpha -5.729, combined = 1.303e-009 rroots = 3
Tue Feb 21 16:41:23 2023  
Tue Feb 21 16:41:23 2023  commencing relation filtering
Tue Feb 21 16:41:23 2023  estimated available RAM is 65413.5 MB
Tue Feb 21 16:41:23 2023  commencing duplicate removal, pass 1
Tue Feb 21 16:41:32 2023  found 554653 hash collisions in 4997204 relations
Tue Feb 21 16:41:37 2023  added 435 free relations
Tue Feb 21 16:41:37 2023  commencing duplicate removal, pass 2
Tue Feb 21 16:41:38 2023  found 448250 duplicates and 4549389 unique relations
Tue Feb 21 16:41:38 2023  memory use: 24.6 MB
Tue Feb 21 16:41:39 2023  reading ideals above 100000
Tue Feb 21 16:41:39 2023  commencing singleton removal, initial pass
Tue Feb 21 16:41:54 2023  memory use: 94.1 MB
Tue Feb 21 16:41:54 2023  reading all ideals from disk
Tue Feb 21 16:41:54 2023  memory use: 147.3 MB
Tue Feb 21 16:41:54 2023  keeping 4869149 ideals with weight <= 200, target excess is 24468
Tue Feb 21 16:41:54 2023  commencing in-memory singleton removal
Tue Feb 21 16:41:54 2023  begin with 4549389 relations and 4869149 unique ideals
Tue Feb 21 16:41:55 2023  reduce to 1795578 relations and 1659063 ideals in 14 passes
Tue Feb 21 16:41:55 2023  max relations containing the same ideal: 107
Tue Feb 21 16:41:55 2023  removing 338289 relations and 284223 ideals in 54066 cliques
Tue Feb 21 16:41:55 2023  commencing in-memory singleton removal
Tue Feb 21 16:41:55 2023  begin with 1457289 relations and 1659063 unique ideals
Tue Feb 21 16:41:56 2023  reduce to 1406982 relations and 1322578 ideals in 8 passes
Tue Feb 21 16:41:56 2023  max relations containing the same ideal: 88
Tue Feb 21 16:41:56 2023  removing 262172 relations and 208106 ideals in 54066 cliques
Tue Feb 21 16:41:56 2023  commencing in-memory singleton removal
Tue Feb 21 16:41:56 2023  begin with 1144810 relations and 1322578 unique ideals
Tue Feb 21 16:41:56 2023  reduce to 1105526 relations and 1073704 ideals in 10 passes
Tue Feb 21 16:41:56 2023  max relations containing the same ideal: 77
Tue Feb 21 16:41:56 2023  relations with 0 large ideals: 81
Tue Feb 21 16:41:56 2023  relations with 1 large ideals: 193
Tue Feb 21 16:41:56 2023  relations with 2 large ideals: 3396
Tue Feb 21 16:41:56 2023  relations with 3 large ideals: 26922
Tue Feb 21 16:41:56 2023  relations with 4 large ideals: 109606
Tue Feb 21 16:41:56 2023  relations with 5 large ideals: 250720
Tue Feb 21 16:41:56 2023  relations with 6 large ideals: 331975
Tue Feb 21 16:41:56 2023  relations with 7+ large ideals: 382633
Tue Feb 21 16:41:56 2023  commencing 2-way merge
Tue Feb 21 16:41:57 2023  reduce to 647507 relation sets and 615685 unique ideals
Tue Feb 21 16:41:57 2023  commencing full merge
Tue Feb 21 16:42:03 2023  memory use: 77.0 MB
Tue Feb 21 16:42:04 2023  found 318100 cycles, need 311885
Tue Feb 21 16:42:04 2023  weight of 311885 cycles is about 22139989 (70.99/cycle)
Tue Feb 21 16:42:04 2023  distribution of cycle lengths:
Tue Feb 21 16:42:04 2023  1 relations: 33537
Tue Feb 21 16:42:04 2023  2 relations: 32220
Tue Feb 21 16:42:04 2023  3 relations: 32159
Tue Feb 21 16:42:04 2023  4 relations: 29496
Tue Feb 21 16:42:04 2023  5 relations: 27422
Tue Feb 21 16:42:04 2023  6 relations: 25245
Tue Feb 21 16:42:04 2023  7 relations: 22414
Tue Feb 21 16:42:04 2023  8 relations: 19984
Tue Feb 21 16:42:04 2023  9 relations: 17503
Tue Feb 21 16:42:04 2023  10+ relations: 71905
Tue Feb 21 16:42:04 2023  heaviest cycle: 22 relations
Tue Feb 21 16:42:04 2023  commencing cycle optimization
Tue Feb 21 16:42:04 2023  start with 2004849 relations
Tue Feb 21 16:42:06 2023  pruned 51985 relations
Tue Feb 21 16:42:06 2023  memory use: 64.4 MB
Tue Feb 21 16:42:06 2023  distribution of cycle lengths:
Tue Feb 21 16:42:06 2023  1 relations: 33537
Tue Feb 21 16:42:06 2023  2 relations: 32952
Tue Feb 21 16:42:06 2023  3 relations: 33192
Tue Feb 21 16:42:06 2023  4 relations: 30251
Tue Feb 21 16:42:06 2023  5 relations: 28121
Tue Feb 21 16:42:06 2023  6 relations: 25780
Tue Feb 21 16:42:06 2023  7 relations: 22916
Tue Feb 21 16:42:06 2023  8 relations: 20164
Tue Feb 21 16:42:06 2023  9 relations: 17530
Tue Feb 21 16:42:06 2023  10+ relations: 67442
Tue Feb 21 16:42:06 2023  heaviest cycle: 22 relations
Tue Feb 21 16:42:06 2023  RelProcTime: 43
Tue Feb 21 16:42:06 2023  elapsed time 00:00:44
Tue Feb 21 16:42:06 2023  
Tue Feb 21 16:42:06 2023  
Tue Feb 21 16:42:06 2023  Msieve v. 1.52 (SVN 927)
Tue Feb 21 16:42:06 2023  random seeds: bec63204 9e71e06d
Tue Feb 21 16:42:06 2023  factoring 111446539693501110313406700104255462814148994627003796158868475844002467869079592742537351295384893053881121 (108 digits)
Tue Feb 21 16:42:07 2023  searching for 15-digit factors
Tue Feb 21 16:42:07 2023  commencing number field sieve (108-digit input)
Tue Feb 21 16:42:07 2023  R0: -448803636962759163237
Tue Feb 21 16:42:07 2023  R1: 139366391767
Tue Feb 21 16:42:07 2023  A0: -1545105850288077205104800
Tue Feb 21 16:42:07 2023  A1: 1881779913360336949228
Tue Feb 21 16:42:07 2023  A2: -309085230512344651
Tue Feb 21 16:42:07 2023  A3: 6214138540094
Tue Feb 21 16:42:07 2023  A4: 1512494052
Tue Feb 21 16:42:07 2023  A5: 6120
Tue Feb 21 16:42:07 2023  skew 15511.59, size 2.675e-010, alpha -5.729, combined = 1.303e-009 rroots = 3
Tue Feb 21 16:42:07 2023  
Tue Feb 21 16:42:07 2023  commencing linear algebra
Tue Feb 21 16:42:07 2023  read 311885 cycles
Tue Feb 21 16:42:07 2023  cycles contain 1058101 unique relations
Tue Feb 21 16:42:09 2023  read 1058101 relations
Tue Feb 21 16:42:10 2023  using 20 quadratic characters above 67108710
Tue Feb 21 16:42:13 2023  building initial matrix
Tue Feb 21 16:42:18 2023  memory use: 129.5 MB
Tue Feb 21 16:42:18 2023  read 311885 cycles
Tue Feb 21 16:42:18 2023  matrix is 311706 x 311885 (93.7 MB) with weight 29771730 (95.46/col)
Tue Feb 21 16:42:18 2023  sparse part has weight 21142321 (67.79/col)
Tue Feb 21 16:42:19 2023  filtering completed in 2 passes
Tue Feb 21 16:42:19 2023  matrix is 311393 x 311572 (93.7 MB) with weight 29756544 (95.50/col)
Tue Feb 21 16:42:19 2023  sparse part has weight 21136478 (67.84/col)
Tue Feb 21 16:42:20 2023  matrix starts at (0, 0)
Tue Feb 21 16:42:20 2023  matrix is 311393 x 311572 (93.7 MB) with weight 29756544 (95.50/col)
Tue Feb 21 16:42:20 2023  sparse part has weight 21136478 (67.84/col)
Tue Feb 21 16:42:20 2023  saving the first 48 matrix rows for later
Tue Feb 21 16:42:20 2023  matrix includes 64 packed rows
Tue Feb 21 16:42:20 2023  matrix is 311345 x 311572 (89.9 MB) with weight 23513790 (75.47/col)
Tue Feb 21 16:42:20 2023  sparse part has weight 20451228 (65.64/col)
Tue Feb 21 16:42:20 2023  using block size 8192 and superblock size 12582912 for processor cache size 131072 kB
Tue Feb 21 16:42:21 2023  commencing Lanczos iteration (32 threads)
Tue Feb 21 16:42:21 2023  memory use: 69.4 MB
Tue Feb 21 16:42:25 2023  linear algebra at 3.9%, ETA 0h 1m
Tue Feb 21 16:44:17 2023  lanczos halted after 4925 iterations (dim = 311345)
Tue Feb 21 16:44:17 2023  recovered 33 nontrivial dependencies
Tue Feb 21 16:44:17 2023  BLanczosTime: 130
Tue Feb 21 16:44:17 2023  elapsed time 00:02:11
Tue Feb 21 16:44:17 2023  
Tue Feb 21 16:44:17 2023  
Tue Feb 21 16:44:17 2023  Msieve v. 1.52 (SVN 927)
Tue Feb 21 16:44:17 2023  random seeds: f6657af0 dbd737f6
Tue Feb 21 16:44:17 2023  factoring 111446539693501110313406700104255462814148994627003796158868475844002467869079592742537351295384893053881121 (108 digits)
Tue Feb 21 16:44:18 2023  searching for 15-digit factors
Tue Feb 21 16:44:18 2023  commencing number field sieve (108-digit input)
Tue Feb 21 16:44:18 2023  R0: -448803636962759163237
Tue Feb 21 16:44:18 2023  R1: 139366391767
Tue Feb 21 16:44:18 2023  A0: -1545105850288077205104800
Tue Feb 21 16:44:18 2023  A1: 1881779913360336949228
Tue Feb 21 16:44:18 2023  A2: -309085230512344651
Tue Feb 21 16:44:18 2023  A3: 6214138540094
Tue Feb 21 16:44:18 2023  A4: 1512494052
Tue Feb 21 16:44:18 2023  A5: 6120
Tue Feb 21 16:44:18 2023  skew 15511.59, size 2.675e-010, alpha -5.729, combined = 1.303e-009 rroots = 3
Tue Feb 21 16:44:18 2023  
Tue Feb 21 16:44:18 2023  commencing square root phase
Tue Feb 21 16:44:18 2023  reading relations for dependency 1
Tue Feb 21 16:44:18 2023  read 156048 cycles
Tue Feb 21 16:44:18 2023  cycles contain 530046 unique relations
Tue Feb 21 16:44:19 2023  read 530046 relations
Tue Feb 21 16:44:20 2023  multiplying 530046 relations
Tue Feb 21 16:44:30 2023  multiply complete, coefficients have about 22.51 million bits
Tue Feb 21 16:44:37 2023  initial square root is modulo 2918737
Tue Feb 21 16:44:50 2023  GCD is N, no factor found
Tue Feb 21 16:44:50 2023  reading relations for dependency 2
Tue Feb 21 16:44:50 2023  read 155738 cycles
Tue Feb 21 16:44:50 2023  cycles contain 529514 unique relations
Tue Feb 21 16:44:51 2023  read 529514 relations
Tue Feb 21 16:44:52 2023  multiplying 529514 relations
Tue Feb 21 16:45:02 2023  multiply complete, coefficients have about 22.49 million bits
Tue Feb 21 16:45:02 2023  initial square root is modulo 2872981
Tue Feb 21 16:45:15 2023  sqrtTime: 57
Tue Feb 21 16:45:15 2023  prp38 factor: 73591735798902730752296399463616101631
Tue Feb 21 16:45:15 2023  prp70 factor: 1514389333036533745649169140237246250805750411710940477161154378061791
Tue Feb 21 16:45:15 2023  elapsed time 00:00:58
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10188+169

c159

name 名前Bob Backstrom
date 日付March 31, 2023 17:36:14 UTC 2023 年 4 月 1 日 (土) 2 時 36 分 14 秒 (日本時間)
composite number 合成数
851569172487713764226359179992443854656298252587281489170969251498879774320426897962429287282971165931742631463358700886370780908064834192300329027123915695303<159>
prime factors 素因数
638780014985015121156530022790515222833236118965908939567066456637484179<72>
1333118057094648424146401290147353254928477870542156611992641665002622100935646493784957<88>
factorization results 素因数分解の結果
Number: n
N=851569172487713764226359179992443854656298252587281489170969251498879774320426897962429287282971165931742631463358700886370780908064834192300329027123915695303  ( 159 digits)
SNFS difficulty: 189 digits.
Divisors found:

Sat Apr  1 04:16:59 2023  prp72 factor: 638780014985015121156530022790515222833236118965908939567066456637484179
Sat Apr  1 04:16:59 2023  prp88 factor: 1333118057094648424146401290147353254928477870542156611992641665002622100935646493784957
Sat Apr  1 04:16:59 2023  elapsed time 00:48:11 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.092).
Factorization parameters were as follows:
#
# N = 83x10^188+16 = 92(187)4
#
n: 851569172487713764226359179992443854656298252587281489170969251498879774320426897962429287282971165931742631463358700886370780908064834192300329027123915695303
m: 10000000000000000000000000000000000000
deg: 5
c5: 10375
c0: 2
skew: 0.18
# Murphy_E = 4.954e-11
type: snfs
lss: 1
rlim: 9900000
alim: 9900000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9900000/9900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved  special-q in [100000, 16150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1628354 hash collisions in 15164800 relations (14485702 unique)
Msieve: matrix is 1202201 x 1202426 (341.6 MB)

Sieving start time: 2023/03/31 22:25:34
Sieving end time  : 2023/04/01 03:28:33

Total sieving time: 5hrs 2min 59secs.

Total relation processing time: 0hrs 40min 2sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 38sec.

Prototype def-par.txt line would be:
snfs,189,5,0,0,0,0,0,0,0,0,9900000,9900000,27,27,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 28, 2023 09:17:18 UTC 2023 年 3 月 28 日 (火) 18 時 17 分 18 秒 (日本時間)

83×10193+169

c167

name 名前Bob Backstrom
date 日付April 17, 2023 21:11:18 UTC 2023 年 4 月 18 日 (火) 6 時 11 分 18 秒 (日本時間)
composite number 合成数
13682905992987626208471161759564537954662051271786215206785790547829282253376535390335736918947847455550277367561562404016337657667225907714700473738889976388621075609<167>
prime factors 素因数
8932935070779615365458540600241631495844472737420936577603158655904247087<73>
1531736868629613873354635806921457853106666366675544506022824684621745219665933336519386958007<94>
factorization results 素因数分解の結果
Number: n
N=13682905992987626208471161759564537954662051271786215206785790547829282253376535390335736918947847455550277367561562404016337657667225907714700473738889976388621075609  ( 167 digits)
SNFS difficulty: 194 digits.
Divisors found:

Tue Apr 18 07:03:00 2023  prp73 factor: 8932935070779615365458540600241631495844472737420936577603158655904247087
Tue Apr 18 07:03:00 2023  prp94 factor: 1531736868629613873354635806921457853106666366675544506022824684621745219665933336519386958007
Tue Apr 18 07:03:00 2023  elapsed time 01:25:55 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.105).
Factorization parameters were as follows:
#
# N = 83x10^ 193+16 = 92(192)4
#
n: 13682905992987626208471161759564537954662051271786215206785790547829282253376535390335736918947847455550277367561562404016337657667225907714700473738889976388621075609
m: 100000000000000000000000000000000000000
deg: 5
c5: 10375
c0: 2
skew: 0.18
# Murphy_E = 3.083e-11
type: snfs
lss: 1
rlim: 12000000
alim: 12000000
lpbr: 27
lpba: 27
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12000000/12000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 55/55
Sieved  special-q in [100000, 24400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1622648 hash collisions in 14150250 relations (13361560 unique)
Msieve: matrix is 1636139 x 1636364 (466.6 MB)

Sieving start time: 2023/04/17 22:11:26
Sieving end time  : 2023/04/18 05:36:50

Total sieving time: 7hrs 25min 24secs.

Total relation processing time: 1hrs 17min 35sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 42sec.

Prototype def-par.txt line would be:
snfs,194,5,0,0,0,0,0,0,0,0,12000000,12000000,27,27,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMarch 3, 2023 20:50:43 UTC 2023 年 3 月 4 日 (土) 5 時 50 分 43 秒 (日本時間)
2350Ignacio SantosApril 13, 2023 16:56:04 UTC 2023 年 4 月 14 日 (金) 1 時 56 分 4 秒 (日本時間)

83×10195+169

c185

name 名前Ignacio Santos
date 日付April 18, 2023 16:50:46 UTC 2023 年 4 月 19 日 (水) 1 時 50 分 46 秒 (日本時間)
composite number 合成数
13475320346341851877377152170218011137923791279265058364534921506753952180957384526951226207366893339896653955118411749589752144928195430381255778444772718724892632872756337011180377877<185>
prime factors 素因数
1618552043686713053601612579279301560773<40>
8325540348797171572672879322824001684824350633739159516885100697338934254009735049574753534205656165912384023150736137399104072372048664964300049<145>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2090012924
Step 1 took 7437ms
Step 2 took 3516ms
********** Factor found in step 2: 1618552043686713053601612579279301560773
Found prime factor of 40 digits: 1618552043686713053601612579279301560773
Prime cofactor 8325540348797171572672879322824001684824350633739159516885100697338934254009735049574753534205656165912384023150736137399104072372048664964300049 has 145 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovMarch 3, 2023 20:50:51 UTC 2023 年 3 月 4 日 (土) 5 時 50 分 51 秒 (日本時間)

83×10196+169

c162

name 名前Bob Backstrom
date 日付May 2, 2023 14:12:59 UTC 2023 年 5 月 2 日 (火) 23 時 12 分 59 秒 (日本時間)
composite number 合成数
216623938535682047255816916015859288864448931319089694883280715073497458843828964420640948827075716502759596943275543162007639014035553369042594180381586482438529<162>
prime factors 素因数
240091526492827277927727694161647452472031064496413<51>
902255659331457815269195956963937802565885827594806866622609836052668833669990797461747545577118449453499441333<111>
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 216623938535682047255816916015859288864448931319089694883280715073497458843828964420640948827075716502759596943275543162007639014035553369042594180381586482438529 (162 digits)
Using B1=24540000, B2=96189633556, polynomial Dickson(12), sigma=1:661209701
Step 1 took 57606ms
Step 2 took 19164ms
********** Factor found in step 2: 240091526492827277927727694161647452472031064496413
Found prime factor of 51 digits: 240091526492827277927727694161647452472031064496413
Prime cofactor 902255659331457815269195956963937802565885827594806866622609836052668833669990797461747545577118449453499441333 has 111 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMarch 3, 2023 20:51:00 UTC 2023 年 3 月 4 日 (土) 5 時 51 分 0 秒 (日本時間)
2350Ignacio SantosApril 22, 2023 07:32:29 UTC 2023 年 4 月 22 日 (土) 16 時 32 分 29 秒 (日本時間)

83×10197+169

c169

name 名前Dmitry Domanov
date 日付March 4, 2023 07:44:17 UTC 2023 年 3 月 4 日 (土) 16 時 44 分 17 秒 (日本時間)
composite number 合成数
1357840720940032184553530013483033984669400730943548215498840291692134354227642138644951878626364947245764165516964739453526666622511094289381490222491856412818058859977<169>
prime factors 素因数
3669658984296165220616675117650758013<37>
2100884200176063823121513397227693477279<40>
176124999969197885151078114505051655412831567086367701510372484456259000062707369620911046051<93>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3254058215
Step 1 took 8202ms
Step 2 took 4211ms
********** Factor found in step 2: 3669658984296165220616675117650758013
Found prime factor of 37 digits: 3669658984296165220616675117650758013
Composite cofactor 370018229691297564429168032715652232520727258085817364906861297958500011693959177685430685761560728510356936453485209354293491175229 has 132 digits
---
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3155388457
Step 1 took 5362ms
Step 2 took 3196ms
********** Factor found in step 2: 2100884200176063823121513397227693477279
Found prime factor of 40 digits: 2100884200176063823121513397227693477279
Prime cofactor 176124999969197885151078114505051655412831567086367701510372484456259000062707369620911046051 has 93 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovMarch 3, 2023 20:51:09 UTC 2023 年 3 月 4 日 (土) 5 時 51 分 9 秒 (日本時間)

83×10198+169

c163

name 名前Bob Backstrom
date 日付May 25, 2023 16:57:32 UTC 2023 年 5 月 26 日 (金) 1 時 57 分 32 秒 (日本時間)
composite number 合成数
3978232643999407716576920505107510820791734260333961527396725920838582591033991785743828849184444697619027625797125220750382072866427921083213330087259606113233523<163>
prime factors 素因数
8775095692905704896060827840997401747707477377722905171<55>
453354901555733594453059552102314721625447670180759311849153043802655726018471364208908322406158471701865313<108>
factorization results 素因数分解の結果
Number: n
N=3978232643999407716576920505107510820791734260333961527396725920838582591033991785743828849184444697619027625797125220750382072866427921083213330087259606113233523  ( 163 digits)
SNFS difficulty: 199 digits.
Divisors found:

Fri May 26 02:49:00 2023  prp55 factor: 8775095692905704896060827840997401747707477377722905171
Fri May 26 02:49:00 2023  prp108 factor: 453354901555733594453059552102314721625447670180759311849153043802655726018471364208908322406158471701865313
Fri May 26 02:49:00 2023  elapsed time 02:25:40 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.095).
Factorization parameters were as follows:
#
# N = 83x10^198+16 = 92(197)4
#
n: 3978232643999407716576920505107510820791734260333961527396725920838582591033991785743828849184444697619027625797125220750382072866427921083213330087259606113233523
m: 1000000000000000000000000000000000000000
deg: 5
c5: 10375
c0: 2
skew: 0.18
# Murphy_E = 1.911e-11
type: snfs
lss: 1
rlim: 14500000
alim: 14500000
lpbr: 27
lpba: 27
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14500000/14500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 55/55
Sieved  special-q in [100000, 25650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1702712 hash collisions in 13845862 relations (12921826 unique)
Msieve: matrix is 2068881 x 2069106 (590.5 MB)

Sieving start time: 2023/05/25 13:48:25
Sieving end time  : 2023/05/26 00:23:05

Total sieving time: 10hrs 34min 40secs.

Total relation processing time: 2hrs 12min 14sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 35sec.

Prototype def-par.txt line would be:
snfs,199,5,0,0,0,0,0,0,0,0,14500000,14500000,27,27,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMarch 3, 2023 20:51:19 UTC 2023 年 3 月 4 日 (土) 5 時 51 分 19 秒 (日本時間)
2350Ignacio SantosApril 27, 2023 07:54:32 UTC 2023 年 4 月 27 日 (木) 16 時 54 分 32 秒 (日本時間)

83×10200+169

c170

name 名前Bob Backstrom
date 日付June 10, 2023 19:15:05 UTC 2023 年 6 月 11 日 (日) 4 時 15 分 5 秒 (日本時間)
composite number 合成数
32239087392793999019564245582573776028569239055781382651279656868830090096539763222321107696592365262505563876894614093348121476634656939824918081291107626476050544308981<170>
prime factors 素因数
54934923327692573181851035773751455255584178393324306937<56>
586859604781542426703983509433217883091632252506272683694264836238584364496815400754650418219604093305787767912413<114>
factorization results 素因数分解の結果
Number: n
N=32239087392793999019564245582573776028569239055781382651279656868830090096539763222321107696592365262505563876894614093348121476634656939824918081291107626476050544308981  ( 170 digits)
SNFS difficulty: 201 digits.
Divisors found:

Sun Jun 11 05:05:28 2023  prp56 factor: 54934923327692573181851035773751455255584178393324306937
Sun Jun 11 05:05:28 2023  prp114 factor: 586859604781542426703983509433217883091632252506272683694264836238584364496815400754650418219604093305787767912413
Sun Jun 11 05:05:28 2023  elapsed time 02:40:38 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.097).
Factorization parameters were as follows:
#
# N = 83x10^200+16 = 92(199)4
#
n: 32239087392793999019564245582573776028569239055781382651279656868830090096539763222321107696592365262505563876894614093348121476634656939824918081291107626476050544308981
m: 10000000000000000000000000000000000000000
deg: 5
c5: 83
c0: 16
skew: 0.72
# Murphy_E = 1.479e-11
type: snfs
lss: 1
rlim: 16200000
alim: 16200000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16200000/16200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 33700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1947980 hash collisions in 14597428 relations (13433410 unique)
Msieve: matrix is 2215404 x 2215629 (626.4 MB)

Sieving start time: 2023/06/10 12:10:20
Sieving end time  : 2023/06/11 02:24:35

Total sieving time: 14hrs 14min 15secs.

Total relation processing time: 2hrs 28min 4sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 26sec.

Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,16200000,16200000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e62350dddApril 30, 2023 08:09:21 UTC 2023 年 4 月 30 日 (日) 17 時 9 分 21 秒 (日本時間)

83×10204+169

c196

name 名前anonymous
date 日付August 10, 2023 03:45:08 UTC 2023 年 8 月 10 日 (木) 12 時 45 分 8 秒 (日本時間)
composite number 合成数
4877791730753915316914933665779546093171806108787641428656311886336129614538016268027339152405816068797356240831179622556823784226443176865518922789583731002650254929945079939136179483388136534061<196>
prime factors 素因数
31615271458023530055315192418996223<35>
154285935429347625509163354226358163973125951086889546682542193618710836074293201970044814000751058765592346138559480838159029202892938802747068698549515955863507<162>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:12910903708792135409
Step 1 took 15609ms
********** Factor found in step 2: 31615271458023530055315192418996223
Found prime factor of 35 digits: 31615271458023530055315192418996223
Prime cofactor 154285935429347625509163354226358163973125951086889546682542193618710836074293201970044814000751058765592346138559480838159029202892938802747068698549515955863507 has 162 digit

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10206+169

c182

composite cofactor 合成数の残り
22198168435661872238353964204874475209305165431440136794726143864800259824903083998436638206459371362166079250315477049372780315112960067862429749701428677666206692505528521795502859<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e65000dddAugust 10, 2023 07:04:32 UTC 2023 年 8 月 10 日 (木) 16 時 4 分 32 秒 (日本時間)

83×10208+169

c136

name 名前Jason Parker-Burlingham
date 日付May 17, 2023 04:06:22 UTC 2023 年 5 月 17 日 (水) 13 時 6 分 22 秒 (日本時間)
composite number 合成数
1291153380762245620860891276399834851126299511149487721498263263423918055888477113179369614231371183609429538081949679607600266341513857<136>
prime factors 素因数
29023339530456959624225706425360851932858287499363331237<56>
44486726946336246883043023020842787791135299315264782815042335568540692474553261<80>
factorization results 素因数分解の結果
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 57123.6
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 39644/39.120/48.571/55.540/0.969
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 32571/38.770/43.309/49.190/1.018
Info:Polynomial Selection (size optimized): Total time: 7872.17
Info:Generate Free Relations: Total cpu/real time for freerel: 174.65/8.59279
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 3423.8
Info:Polynomial Selection (root optimized): Rootsieve time: 3422.27
Info:Quadratic Characters: Total cpu/real time for characters: 46.27/11.3592
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 78.95/42.3351
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 42.1s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 290.14/123.497
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 98.60000000000001s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 473215/16765
29023339530456959624225706425360851932858287499363331237 44486726946336246883043023020842787791135299315264782815042335568540692474553261

n: 1291153380762245620860891276399834851126299511149487721498263263423918055888477113179369614231371183609429538081949679607600266341513857
skew: 66802.538
c0: 1313949783250066502739103419228
c1: -88690603688976839551054036
c2: -709286016869735478819
c3: 60353912105761459
c4: 114399024078
c5: 194040
Y0: -128927710238468468906022727
Y1: 24044298319167610003
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.145e-07
# f(x) = 194040*x^5+114399024078*x^4+60353912105761459*x^3-709286016869735478819*x^2-88690603688976839551054036*x+1313949783250066502739103419228
# g(x) = 24044298319167610003*x-128927710238468468906022727
software ソフトウェア
CADO-NFS 3.0.0-dev (2.3.0-4735-g771295a47)
execution environment 実行環境
AMD Ryzen Threadripper 2990WX 32-Core Processor w/ 109GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosFebruary 22, 2023 14:57:49 UTC 2023 年 2 月 22 日 (水) 23 時 57 分 49 秒 (日本時間)
4511e64480Ignacio SantosMarch 2, 2023 09:32:54 UTC 2023 年 3 月 2 日 (木) 18 時 32 分 54 秒 (日本時間)
5043e66454Ignacio SantosApril 27, 2023 07:26:27 UTC 2023 年 4 月 27 日 (木) 16 時 26 分 27 秒 (日本時間)

83×10213+169

c182

composite cofactor 合成数の残り
64406374641342452192929037172909814910497520227741950815663603796892198057292276079196487097736123282071793073110567865894662274275356693952369834235501922302174385645164103094246289<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e62744dddAugust 10, 2023 07:12:03 UTC 2023 年 8 月 10 日 (木) 16 時 12 分 3 秒 (日本時間)

83×10214+169

c175

name 名前anonymous
date 日付April 30, 2023 12:07:29 UTC 2023 年 4 月 30 日 (日) 21 時 7 分 29 秒 (日本時間)
composite number 合成数
5982741295068774745874850616645514826057527299879904976841262175687469814454203370094301083680576063146166437363390002772990202251420026107266942474708291368508513192110584833<175>
prime factors 素因数
3803288781202525587485838946426954905787589342621<49>
1573044183402015785161641025550434691804231507197700856348525582239064936074483763355070491826542970687793674051665677321403573<127>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:16983112684218873532
Step 1 took 10172ms
********** Factor found in step 2: 3803288781202525587485838946426954905787589342621
Found prime factor of 49 digits: 3803288781202525587485838946426954905787589342621
Prime cofactor 1573044183402015785161641025550434691804231507197700856348525582239064936074483763355070491826542970687793674051665677321403573 has 127 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10215+169

c188

composite cofactor 合成数の残り
29078163661105249671927746142730724107376780924748988746942638710550195827760151438192388701991909279077040284912253803597186976849086601222305898510569860040883373390268200842009831505369<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e62350dddAugust 10, 2023 10:59:40 UTC 2023 年 8 月 10 日 (木) 19 時 59 分 40 秒 (日本時間)

83×10217+169

c192

name 名前anonymous
date 日付August 10, 2023 12:10:52 UTC 2023 年 8 月 10 日 (木) 21 時 10 分 52 秒 (日本時間)
composite number 合成数
261592379049598970290616681251215217221726985732832467335704774635098614925161330091363381854979237044526884273863726504737565083566435879261155936709029384922780278426661410106576388997967021<192>
prime factors 素因数
1302135597464206092045817493873858430343<40>
composite cofactor 合成数の残り
200894883419996344317910605058688326133617255857858853911952847732880597279319510000331598658388740250877050389035477432162942190290983828960030040066347<153>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:9586866917788899212
Step 1 took 14157ms
Step 2 took 5218ms
********** Factor found in step 2: 1302135597464206092045817493873858430343
Found prime factor of 40 digits: 1302135597464206092045817493873858430343
Composite cofactor 200894883419996344317910605058688326133617255857858853911952847732880597279319510000331598658388740250877050389035477432162942190290983828960030040066347 has 153 digits
software ソフトウェア
GMP-ECM 7.0.5

c153

name 名前anonymous
date 日付August 13, 2023 21:04:41 UTC 2023 年 8 月 14 日 (月) 6 時 4 分 41 秒 (日本時間)
composite number 合成数
200894883419996344317910605058688326133617255857858853911952847732880597279319510000331598658388740250877050389035477432162942190290983828960030040066347<153>
prime factors 素因数
244209596131112439577680423018918334519229<42>
composite cofactor 合成数の残り
822633043920759440805293774127309051111818604318654727225384007469164728196352451110946659747089902373982625543<111>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:7691657749529864837
Step 1 took 10765ms
Step 2 took 4125ms
********** Factor found in step 2: 244209596131112439577680423018918334519229
Found prime factor of 42 digits: 244209596131112439577680423018918334519229
Composite cofactor 822633043920759440805293774127309051111818604318654727225384007469164728196352451110946659747089902373982625543 has 111 digits

c111

name 名前Dmitry Domanov
date 日付August 15, 2023 20:53:19 UTC 2023 年 8 月 16 日 (水) 5 時 53 分 19 秒 (日本時間)
composite number 合成数
822633043920759440805293774127309051111818604318654727225384007469164728196352451110946659747089902373982625543<111>
prime factors 素因数
18656282346229279379147359643137960647265997<44>
44094157059486515977209929198207346812542119419004121879941166742819<68>
factorization results 素因数分解の結果
N=822633043920759440805293774127309051111818604318654727225384007469164728196352451110946659747089902373982625543
  ( 111 digits)
Divisors found:
 r1=18656282346229279379147359643137960647265997 (pp44)
 r2=44094157059486515977209929198207346812542119419004121879941166742819 (pp68)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.14 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 822633043920759440805293774127309051111818604318654727225384007469164728196352451110946659747089902373982625543
skew: 26105.09
c0: -12725519937229724174555148
c1: 5853698137560108029340
c2: 445760945594569433
c3: -30262765044418
c4: -606338208
c5: 8976
Y0: -2468467734129203400439
Y1: 1175211876637
rlim: 3460000
alim: 3460000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 3460000/3460000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1730000, 2530001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 344223 x 344448
Total sieving time: 0.00 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,110,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3460000,3460000,26,26,52,52,2.5,2.5,100000
total time: 0.14 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e62500dddAugust 10, 2023 12:10:28 UTC 2023 年 8 月 10 日 (木) 21 時 10 分 28 秒 (日本時間)

83×10218+169

c188

composite cofactor 合成数の残り
49225737460538087230302415797571088403615634467087655902480870749058529448573992992030618821616674065841549460599473855128257808874897155498363916540079057268935247917130351948470235035359<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e62560cccAugust 13, 2023 17:06:12 UTC 2023 年 8 月 14 日 (月) 2 時 6 分 12 秒 (日本時間)

83×10219+169

c219

composite cofactor 合成数の残り
576388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e62350dddAugust 10, 2023 08:40:38 UTC 2023 年 8 月 10 日 (木) 17 時 40 分 38 秒 (日本時間)

83×10222+169

c209

composite cofactor 合成数の残り
11103678529447624691971441254042367043433415883345865083864913749393542460743398122289463674494223057097370658053146018500705616334412891052449488182075383445660828996366209591297673281383515505055628255596599<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 25, 2023 19:06:01 UTC 2023 年 11 月 26 日 (日) 4 時 6 分 1 秒 (日本時間)

83×10224+169

c182

composite cofactor 合成数の残り
27238956535767113168996376066514251289809523952162882134535055663937038425986001023503302497341775936021525623380047891698974850470898305272728884747179372100352767352137284767020989<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e62350cccAugust 13, 2023 22:17:23 UTC 2023 年 8 月 14 日 (月) 7 時 17 分 23 秒 (日本時間)

83×10225+169

c212

name 名前Dmitry Domanov
date 日付December 2, 2023 17:56:08 UTC 2023 年 12 月 3 日 (日) 2 時 56 分 8 秒 (日本時間)
composite number 合成数
24571166795648855649483399264725314763313240016146036190134124090064885080390453266385840096992397294512816645594571450971117419873126472914465487773339693111197685313920856373152372967952104957417155068418774317<212>
prime factors 素因数
320396945028732686860539962603603852449<39>
76689766169416355117647978255088444264607321886205128018199411667025825348817224794506952743786423195696750049980959643540466532031636688866382211760047903917378443835531533<173>
factorization results 素因数分解の結果
Resuming ECM residue saved by @cabff8941f3f with GMP-ECM 7.0.5-dev on Sat Nov 25 23:20:03 2023 
Input number is 24571166795648855649483399264725314763313240016146036190134124090064885080390453266385840096992397294512816645594571450971117419873126472914465487773339693111197685313920856373152372967952104957417155068418774317 (212 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1415176679
Step 1 took 0ms
Step 2 took 5296ms
********** Factor found in step 2: 320396945028732686860539962603603852449
Found prime factor of 39 digits: 320396945028732686860539962603603852449
Prime cofactor 76689766169416355117647978255088444264607321886205128018199411667025825348817224794506952743786423195696750049980959643540466532031636688866382211760047903917378443835531533 has 173 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 25, 2023 19:06:16 UTC 2023 年 11 月 26 日 (日) 4 時 6 分 16 秒 (日本時間)

83×10226+169

c218

composite cofactor 合成数の残り
23641766683565095087484114208262757760525217339923271508725712590340653739890069034382558767007111616145733451853805113726940086817935936972135605967075813519127658796433967335877965840774008006817167113555759567937027<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 25, 2023 19:06:25 UTC 2023 年 11 月 26 日 (日) 4 時 6 分 25 秒 (日本時間)

83×10229+169

c159

name 名前anonymous
date 日付August 10, 2023 09:49:24 UTC 2023 年 8 月 10 日 (木) 18 時 49 分 24 秒 (日本時間)
composite number 合成数
222425930487770579826687814351338462960046133942857871661113987154007364842542385724194697196724384818856489728057730232712296178474671443127591602238357575373<159>
prime factors 素因数
1670337627708669697288269025784564653<37>
133162258215358111313736014169982513467342212870412894527804023529924338396242394283334685230907079933040531524687955598241<123>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:17994252109720864120
Step 1 took 13421ms
********** Factor found in step 2: 1670337627708669697288269025784564653
Found prime factor of 37 digits: 1670337627708669697288269025784564653
Prime cofactor 133162258215358111313736014169982513467342212870412894527804023529924338396242394283334685230907079933040531524687955598241 has 123 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10230+169

c203

composite cofactor 合成数の残り
14687754107173121910823396393924729863766186624078242430030168456765736193503245582165704768793243719717230037390059351683308173433070769924089643466084885260294756316111730197594123360315589513657430581<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e62950dddAugust 17, 2023 19:07:54 UTC 2023 年 8 月 18 日 (金) 4 時 7 分 54 秒 (日本時間)

83×10231+169

c224

name 名前Dmitry Domanov
date 日付November 25, 2023 23:35:42 UTC 2023 年 11 月 26 日 (日) 8 時 35 分 42 秒 (日本時間)
composite number 合成数
24995145882440362894922521962084307897082753042412770566672167767014422264221776650921917106054830402406140914407576471763457098647208739418928363584253712424821286634277101376606394660792067768892129898031320635529397936633<224>
prime factors 素因数
10458150168924778222074105001688480893<38>
composite cofactor 合成数の残り
2390015966371437188069722919902622140009182231571537082478458640239142732831733868798736975961436017935877715926369446741245611028718735721405989332975741902407206254260712028689111515181<187>
factorization results 素因数分解の結果
GPU: factor 10458150168924778222074105001688480893 found in Step 1 with curve 236 (-sigma 3:-75775888)
Computing 1792 Step 1 took 189ms of CPU time / 175393ms of GPU time
Throughput: 10.217 curves per second (on average 97.88ms per Step 1)
********** Factor found in step 1: 10458150168924778222074105001688480893
Found prime factor of 38 digits: 10458150168924778222074105001688480893
Composite cofactor 2390015966371437188069722919902622140009182231571537082478458640239142732831733868798736975961436017935877715926369446741245611028718735721405989332975741902407206254260712028689111515181 has 187 digits
Peak memory usage: 9426MB

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 25, 2023 19:06:38 UTC 2023 年 11 月 26 日 (日) 4 時 6 分 38 秒 (日本時間)

83×10233+169

c182

composite cofactor 合成数の残り
39469757564137151957979589193665026216990399123147796819266942018802228053274216629380651087015687377886477370950326264090644869008767668723720746022506505573119318556695073879864347<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e62350cccAugust 13, 2023 23:25:48 UTC 2023 年 8 月 14 日 (月) 8 時 25 分 48 秒 (日本時間)

83×10234+169

c181

composite cofactor 合成数の残り
2639022932568452067116657472739080484182837204262612614811567688662741322575500877416043588984675609929706166591297411647265982222188978915936863018268566770591874953662832891944357<181>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e62500xyzAugust 26, 2023 12:08:21 UTC 2023 年 8 月 26 日 (土) 21 時 8 分 21 秒 (日本時間)

83×10235+169

c232

composite cofactor 合成数の残り
2900799642118212827825308952636582228932505731700497679360286305429737739752837890734216853995414639601856511770955656209808197729687412626516803668288318514790583235475032153441816250069898786557065369345188167533411619974277246547<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 25, 2023 19:06:57 UTC 2023 年 11 月 26 日 (日) 4 時 6 分 57 秒 (日本時間)

83×10240+169

c226

composite cofactor 合成数の残り
1278965972514895776138372442697127909918295328103266098991991018465266493006589074257319617872216307794322589315550387083094852033117777943271648977073717678650508906615530934394280636177475880016199061440566933701248982456069<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 25, 2023 19:07:08 UTC 2023 年 11 月 26 日 (日) 4 時 7 分 8 秒 (日本時間)

83×10241+169

c221

name 名前Dmitry Domanov
date 日付November 27, 2023 21:27:47 UTC 2023 年 11 月 28 日 (火) 6 時 27 分 47 秒 (日本時間)
composite number 合成数
57552275892160975099636152095165718894083366059930457661925869736641350779774242512054502425265007221666981007917581188626211941582262898037542577843024359045749730539989531273546208232991553611829484945604138901836646241<221>
prime factors 素因数
129429901165913254349424921225375806923<39>
composite cofactor 合成数の残り
444659814878372024210639043522458384720290732293698448235677052224038907653426271002267973798738636089206380375414008621469176975217884101897567979597763489051440550666387346563428867<183>
factorization results 素因数分解の結果
Resuming ECM residue saved by @cabff8941f3f with GMP-ECM 7.0.5-dev on Sat Nov 25 20:58:10 2023 
Input number is 57552275892160975099636152095165718894083366059930457661925869736641350779774242512054502425265007221666981007917581188626211941582262898037542577843024359045749730539989531273546208232991553611829484945604138901836646241 (221 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2980904623
Step 1 took 0ms
Step 2 took 5709ms
********** Factor found in step 2: 129429901165913254349424921225375806923
Found prime factor of 39 digits: 129429901165913254349424921225375806923
Composite cofactor 444659814878372024210639043522458384720290732293698448235677052224038907653426271002267973798738636089206380375414008621469176975217884101897567979597763489051440550666387346563428867 has 183 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 25, 2023 19:07:17 UTC 2023 年 11 月 26 日 (日) 4 時 7 分 17 秒 (日本時間)

83×10242+169

c213

composite cofactor 合成数の残り
688983343469950390137364806751614938651047983520406070213196665498344477483998235794715796565702655073711165941265193703682225037412106141394547952634976974069873968615427131487958796538959635756682419942528484847<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 25, 2023 19:07:26 UTC 2023 年 11 月 26 日 (日) 4 時 7 分 26 秒 (日本時間)

83×10243+169

c240

composite cofactor 合成数の残り
423503959506898522328353334966119683239448118213731733202710425340844150542901461343783165972732467956567883092497346722181402563474569352600212262225487794922034451791983019021960976406237243856641358478243121887501020491468691321740550249<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 25, 2023 19:07:34 UTC 2023 年 11 月 26 日 (日) 4 時 7 分 34 秒 (日本時間)

83×10244+169

c187

composite cofactor 合成数の残り
6150866262284668520424731813900534090278344791745253289408365820344016309468906915110687274666922496170648479146790984499366236605329523896637847206233802466240519395802715223230156522211<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e62500xyzAugust 26, 2023 12:09:34 UTC 2023 年 8 月 26 日 (土) 21 時 9 分 34 秒 (日本時間)

83×10245+169

c230

composite cofactor 合成数の残り
62343788302488468595878956213004290680472927461180044723336837986112301493308494979839405542874220941201945096854163930415856008819994142312381897940704393991542685393564642432065319114974190701034945214737733818777092637080271739<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 25, 2023 19:07:47 UTC 2023 年 11 月 26 日 (日) 4 時 7 分 47 秒 (日本時間)

83×10247+169

c196

composite cofactor 合成数の残り
1964523064551731123719646374803137100141312625857706282825459065202753638852492639472648068940882765104292260333047898844226528923942444274058110724707121309168886101960221193228864044005745209991<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 25, 2023 19:07:57 UTC 2023 年 11 月 26 日 (日) 4 時 7 分 57 秒 (日本時間)

83×10248+169

c232

composite cofactor 合成数の残り
1652139607694631001301183663815136959968079434065279232670556974073029662932321940952754864334906441107889913766047505209369372697368885121295146646092928976979072213419760778639054277155634546921803188872350643157844030604570236743<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 25, 2023 19:08:04 UTC 2023 年 11 月 26 日 (日) 4 時 8 分 4 秒 (日本時間)

83×10250+169

c234

composite cofactor 合成数の残り
372309718432856843543125869080112683675261060622835491226439585280091415855127057312711097061989227274525796134881464601703767015135422947292602720451023313071085844874220516369284703837069139218484769985446868114919874142026309944371<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 25, 2023 19:08:12 UTC 2023 年 11 月 26 日 (日) 4 時 8 分 12 秒 (日本時間)

83×10251+169

c237

composite cofactor 合成数の残り
120475999558658872615162887491005571102638015814041728113656077064640119217337624539206772753195676452635198014743417646335183185463381382842867475780153559745259414159484412143017583152781655129307289829956698032949418194125552736978167<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 25, 2023 19:08:21 UTC 2023 年 11 月 26 日 (日) 4 時 8 分 21 秒 (日本時間)

83×10252+169

c236

composite cofactor 合成数の残り
63471031951849485445964951636588670727751063292595531197251304570927541732033038506853276628722513853817181859409631636827285863527262716431751783438901090395422481257275378949985784645814415042313012825626625187608131023417303601372461<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 25, 2023 19:08:29 UTC 2023 年 11 月 26 日 (日) 4 時 8 分 29 秒 (日本時間)

83×10254+169

c192

composite cofactor 合成数の残り
404285909756717351277349885491783951454007783984904441914153755654284279798719891363569898476240112510728956556242379885844370540539508921521424596587069203978722255118508908136320498397590269<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 25, 2023 19:08:37 UTC 2023 年 11 月 26 日 (日) 4 時 8 分 37 秒 (日本時間)

83×10258+169

c201

composite cofactor 合成数の残り
204593719674508825965418574367359168468049985094649614585946683696316384753646113820658339513667384401674822986713159962766378584058842586319037140472785020097229879088754871795638182977297726631092789<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 25, 2023 19:08:50 UTC 2023 年 11 月 26 日 (日) 4 時 8 分 50 秒 (日本時間)

83×10260+169

c195

composite cofactor 合成数の残り
186618850993328037385816551717074327117216751006077514127999669642606930492151916583059081144696556333886417426043321660275768892449158328609835897174880059627998743171168102165355702895438994373<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 25, 2023 19:09:00 UTC 2023 年 11 月 26 日 (日) 4 時 9 分 0 秒 (日本時間)

83×10263+169

c225

composite cofactor 合成数の残り
122394635589786261565121763447055250474904208514309064172793205358899387740378388596850712484245887874287234189068280587147020339168797349706109401261659753945628772707003140434709302641330769068937392174992365703824251922491<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 25, 2023 19:09:10 UTC 2023 年 11 月 26 日 (日) 4 時 9 分 10 秒 (日本時間)

83×10266+169

c257

composite cofactor 合成数の残り
45238457324527496995274527487930141729638034599254867658945590804437984247975438479385528857040680058828998598261960131727170505451680126092283958308185056889966692801867475191817122099361382969320327077062062799889369032128375152818920803011132345593864921<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 25, 2023 19:09:56 UTC 2023 年 11 月 26 日 (日) 4 時 9 分 56 秒 (日本時間)

83×10267+169

c237

composite cofactor 合成数の残り
421514968416083213554506307516151748953121439839210249296190349689069140462109788019217111718669876705431690293516283669766617185719168192037184781953308281449775189061701240895937214495243893626188642040915264162221379954785689903361693<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 25, 2023 19:10:04 UTC 2023 年 11 月 26 日 (日) 4 時 10 分 4 秒 (日本時間)

83×10268+169

c209

composite cofactor 合成数の残り
19786589868989541002192520580259590955507966058127984241243169778459154853837252707999350252882857538452990144886065784655320489144319665822841122512251587117423658165534291714472948491316179316919430492670409<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 25, 2023 19:10:13 UTC 2023 年 11 月 26 日 (日) 4 時 10 分 13 秒 (日本時間)

83×10269+169

c243

composite cofactor 合成数の残り
181831734498224600960078915411136984182438769289093424479073370283027277400174427308457428937961277148724707392125186740677579201649240465534121097090528332387603000544240618563109959710823193621400029997965055737745759406731822322739900116179<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 25, 2023 19:10:23 UTC 2023 年 11 月 26 日 (日) 4 時 10 分 23 秒 (日本時間)

83×10270+169

c255

composite cofactor 合成数の残り
918634334199928152678141552384893748061589261507105754911090696949908430181451669975254501587998825413061572574742273776448970032442892581542428582370113756340042823057323410150100207222066895738182718773858391395886026124123403558280433393361596962164357<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 25, 2023 19:10:32 UTC 2023 年 11 月 26 日 (日) 4 時 10 分 32 秒 (日本時間)

83×10272+169

c229

composite cofactor 合成数の残り
1270303057940185303604910634892762895257823043360506404821399437166383327731526357245516691278642523144204400368309408332351456755190783328758545578853140543543489104056085448515838354074772576717158845932935362791179173132507679<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 25, 2023 19:10:40 UTC 2023 年 11 月 26 日 (日) 4 時 10 分 40 秒 (日本時間)

83×10273+169

c185

composite cofactor 合成数の残り
52722191061344313757774250531408181166049705816418883328138262819677324198831451729777192471783799699273164854982450394542455709691689482924519621117436261557395640298011119241515991219<185>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e62090cccJuly 21, 2023 04:38:15 UTC 2023 年 7 月 21 日 (金) 13 時 38 分 15 秒 (日本時間)
4511e64480Ignacio SantosJuly 23, 2023 09:58:03 UTC 2023 年 7 月 23 日 (日) 18 時 58 分 3 秒 (日本時間)

83×10277+169

c233

composite cofactor 合成数の残り
62787796775128368636732827080506949352370067991844420892779359974336216262847644558327550428217818043238218801346205737404671199927391197105313806269590845378192391806272007197934930011133237514074345412133682880860204531419489081053<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 25, 2023 19:10:52 UTC 2023 年 11 月 26 日 (日) 4 時 10 分 52 秒 (日本時間)

83×10278+169

c210

composite cofactor 合成数の残り
819919575733268253516764602698294261347450985181243589307489271308361457274783575682782101674630553465281914653801485531191053524329079265048785277094448939963975297866339156355397749893146986514619538913142227<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 25, 2023 19:11:00 UTC 2023 年 11 月 26 日 (日) 4 時 11 分 0 秒 (日本時間)

83×10279+169

c272

composite cofactor 合成数の残り
58188731671068314715126534047059770780929122445614231446092450279313203139313201120234319039791591575160048737423424049762307864593795036325640766180760751457637543327049174654955964282180497059755637837506842293775461355878996288517981854829731470472827780434549073448627<272>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 25, 2023 19:11:08 UTC 2023 年 11 月 26 日 (日) 4 時 11 分 8 秒 (日本時間)

83×10280+169

c214

composite cofactor 合成数の残り
4588167349236993012370723709758187220740615672424228618993155393419247623944283742896517133043777877053086425029938881383022356212128982253958680631099048597817126710592775409110851083388241129586198607977051398279<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 25, 2023 19:11:17 UTC 2023 年 11 月 26 日 (日) 4 時 11 分 17 秒 (日本時間)

83×10281+169

c261

composite cofactor 合成数の残り
467132061155363614984941550376830260029895246286124926465752997458918392373588163946029611301922768871670208864327991799688465671145578617430869636867741408592846611397324700237580191803664501009885532443575589744265447264984190188767164041286671395057190539311<261>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 25, 2023 19:11:27 UTC 2023 年 11 月 26 日 (日) 4 時 11 分 27 秒 (日本時間)

83×10282+169

c252

composite cofactor 合成数の残り
114552495526454944688558646067002636251813170854607675326197591987636717274464379053338992049000929688358403511362076922395805068888224299395019318270968876112812745022817974645175937640565702475469757117659947625993845976365888991032980083756746977597<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 25, 2023 19:11:37 UTC 2023 年 11 月 26 日 (日) 4 時 11 分 37 秒 (日本時間)

83×10283+169

c272

composite cofactor 合成数の残り
83210474976260144805309255268904046317389873532499647667315542147830597195472883874010947129733002000019208692621340986355915864718187444863957603533172750376729632000887771725015955385091407741707243591872039043121238965207078399430310670893826570091789433738079271467303<272>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 25, 2023 19:11:47 UTC 2023 年 11 月 26 日 (日) 4 時 11 分 47 秒 (日本時間)

83×10284+169

c194

composite cofactor 合成数の残り
49078724445463097616424250230676951592918936264718653367753917141713357062437114389056563656454890348009653684218146408013267043192093609447880711679272652108207565855815953999462054215413945949<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 25, 2023 19:11:55 UTC 2023 年 11 月 26 日 (日) 4 時 11 分 55 秒 (日本時間)

83×10286+169

c218

composite cofactor 合成数の残り
37220191721841029076750929052233923209105005253561543462062071423054744683303795244452891660883001345311746441947420427856872975413314417496527443768330237994760144666081775559484470414906532423639799414613394193999349<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 25, 2023 19:12:04 UTC 2023 年 11 月 26 日 (日) 4 時 12 分 4 秒 (日本時間)

83×10289+169

c269

composite cofactor 合成数の残り
29683802764535772990531439517591669316392590797531325294435830385150374044719903672986093346705103045927102363482388068212618120677717091054060483994813662989374755400881211757208418366029697897659116303205355121066172538256022393951102383524673832190401994630267785653<269>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 25, 2023 19:12:12 UTC 2023 年 11 月 26 日 (日) 4 時 12 分 12 秒 (日本時間)

83×10291+169

c239

composite cofactor 合成数の残り
40375266637763892232092565021608118329617013139221949001733433775282847600266916741491694820394350162338543583579246207510744032046282821135347931339238144669468899931502807111683490962398628543191874876948422119952417063481674865831455713<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 25, 2023 19:12:34 UTC 2023 年 11 月 26 日 (日) 4 時 12 分 34 秒 (日本時間)

83×10292+169

c207

composite cofactor 合成数の残り
211772307810207119507885526889345123474300766259385489714881434824569506289782510475722457182908549681390565008952460849984120971219633083178633728642459177041992912387400900763157742381410597564424623579071<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 25, 2023 19:12:42 UTC 2023 年 11 月 26 日 (日) 4 時 12 分 42 秒 (日本時間)

83×10294+169

c230

composite cofactor 合成数の残り
32188813831690807045104429113605075290432442429214642148249870886098553592406327771028282022338930958010284840458966296406050111943841649359504096240715274650750563341028957895985537582665246188386553805593711882288761254858544931<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 25, 2023 19:12:50 UTC 2023 年 11 月 26 日 (日) 4 時 12 分 50 秒 (日本時間)

83×10296+169

c218

name 名前Dmitry Domanov
date 日付November 29, 2023 04:41:02 UTC 2023 年 11 月 29 日 (水) 13 時 41 分 2 秒 (日本時間)
composite number 合成数
40445041835981149198704957384699943697168609413668270955646424418157716037709934692126321851070141693518225718053704106826179431786645894000869411129784421923658503968672931582546480203040877089998144314703736901118863<218>
prime factors 素因数
2818831378157368877073283024692340699811<40>
14348159364686622085493087516343990885268848225046601886172771490279805535128192840081175710187260564756788984224267275256933638396958199461572227735940715250044877426985540804133<179>
factorization results 素因数分解の結果
Resuming ECM residue saved by @cabff8941f3f with GMP-ECM 7.0.5-dev on Sat Nov 25 21:35:05 2023 
Input number is 40445041835981149198704957384699943697168609413668270955646424418157716037709934692126321851070141693518225718053704106826179431786645894000869411129784421923658503968672931582546480203040877089998144314703736901118863 (218 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:418205891
Step 1 took 0ms
Step 2 took 5532ms
********** Factor found in step 2: 2818831378157368877073283024692340699811
Found prime factor of 40 digits: 2818831378157368877073283024692340699811
Prime cofactor 14348159364686622085493087516343990885268848225046601886172771490279805535128192840081175710187260564756788984224267275256933638396958199461572227735940715250044877426985540804133 has 179 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 25, 2023 19:12:59 UTC 2023 年 11 月 26 日 (日) 4 時 12 分 59 秒 (日本時間)

83×10297+169

c297

composite cofactor 合成数の残り
576388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<297>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 25, 2023 19:13:07 UTC 2023 年 11 月 26 日 (日) 4 時 13 分 7 秒 (日本時間)

83×10299+169

c282

composite cofactor 合成数の残り
478090024569158867897357768798373836912723079207645882993669426137592455728965499862615534315166372135761414297285996459208888970762675413818932658422210745693974928370792119172215444334506415156875254008744720150265680242435329122963950783932854627978137552038445063128108532521703<282>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 25, 2023 19:13:15 UTC 2023 年 11 月 26 日 (日) 4 時 13 分 15 秒 (日本時間)