Table of contents 目次

49×10108+329

c94

name 名前Dmitry Domanov
date 日付September 9, 2022 23:24:23 UTC 2022 年 9 月 10 日 (土) 8 時 24 分 23 秒 (日本時間)
composite number 合成数
1838258827022942638889462576708779522561702004774706219688602227068647265527309634687324181753<94>
prime factors 素因数
398398050447211525348102053944993222981349203<45>
4614126060505196461735956382839372227351410670851<49>
factorization results 素因数分解の結果
N=1838258827022942638889462576708779522561702004774706219688602227068647265527309634687324181753
  ( 94 digits)
SNFS difficulty: 109 digits.
Divisors found:
 r1=398398050447211525348102053944993222981349203 (pp45)
 r2=4614126060505196461735956382839372227351410670851 (pp49)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.26 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1838258827022942638889462576708779522561702004774706219688602227068647265527309634687324181753
m: 1000000000000000000000000000
deg: 4
c4: 49
c0: 32
skew: 0.90
# Murphy_E = 1.358e-07
type: snfs
lss: 1
rlim: 470000
alim: 470000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 470000/470000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [235000, 395001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 41038 x 41263
Total sieving time: 0.25 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,109.000,4,0,0,0,0,0,0,0,0,470000,470000,25,25,44,44,2.2,2.2,20000
total time: 0.26 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 JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10109+329

c107

name 名前Dmitry Domanov
date 日付September 9, 2022 23:30:23 UTC 2022 年 9 月 10 日 (土) 8 時 30 分 23 秒 (日本時間)
composite number 合成数
41497289972899728997289972899728997289972899728997289972899728997289972899728997289972899728997289972899729<107>
prime factors 素因数
28297127854975419824640900404516089<35>
1466484167070805901593432808743263290549943447667808595679475554886204761<73>
factorization results 素因数分解の結果
N=41497289972899728997289972899728997289972899728997289972899728997289972899728997289972899728997289972899729
  ( 107 digits)
SNFS difficulty: 110 digits.
Divisors found:
 r1=28297127854975419824640900404516089 (pp35)
 r2=1466484167070805901593432808743263290549943447667808595679475554886204761 (pp73)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.32 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 41497289972899728997289972899728997289972899728997289972899728997289972899728997289972899728997289972899729
m: 1000000000000000000000000000
deg: 4
c4: 245
c0: 16
skew: 0.51
# Murphy_E = 1.162e-07
type: snfs
lss: 1
rlim: 480000
alim: 480000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 480000/480000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [240000, 460001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 41175 x 41401
Total sieving time: 0.31 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,110.000,4,0,0,0,0,0,0,0,0,480000,480000,25,25,44,44,2.2,2.2,20000
total time: 0.32 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10110+329

c98

name 名前Dmitry Domanov
date 日付September 9, 2022 23:51:06 UTC 2022 年 9 月 10 日 (土) 8 時 51 分 6 秒 (日本時間)
composite number 合成数
16202382221932550152914805492764332978760597915340700221825304658055049331947604838059351913843963<98>
prime factors 素因数
1828031850463161641277737166301995562468847814377<49>
8863293173927693185079182713139294699310721060419<49>
factorization results 素因数分解の結果
N=16202382221932550152914805492764332978760597915340700221825304658055049331947604838059351913843963
  ( 98 digits)
SNFS difficulty: 111 digits.
Divisors found:
 r1=1828031850463161641277737166301995562468847814377 (pp49)
 r2=8863293173927693185079182713139294699310721060419 (pp49)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.32 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 16202382221932550152914805492764332978760597915340700221825304658055049331947604838059351913843963
m: 1000000000000000000000000000
deg: 4
c4: 1225
c0: 8
skew: 0.28
# Murphy_E = 1.015e-07
type: snfs
lss: 1
rlim: 500000
alim: 500000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 500000/500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [250000, 490001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 44655 x 44880
Total sieving time: 0.32 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,111.000,4,0,0,0,0,0,0,0,0,500000,500000,25,25,44,44,2.2,2.2,20000
total time: 0.32 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10123+329

c89

name 名前Ignacio Santos
date 日付September 10, 2022 07:46:14 UTC 2022 年 9 月 10 日 (土) 16 時 46 分 14 秒 (日本時間)
composite number 合成数
13534762311152695665688559011116726395088060847891390918809052137653037208545941067501127<89>
prime factors 素因数
43030102897382717771306824766909235820123727<44>
314541713819046900384006402113055579109016201<45>
factorization results 素因数分解の結果
prp45 = 314541713819046900384006402113055579109016201
prp44 = 43030102897382717771306824766909235820123727
software ソフトウェア
Yafu

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10125+329

c84

name 名前Dmitry Domanov
date 日付September 9, 2022 21:56:57 UTC 2022 年 9 月 10 日 (土) 6 時 56 分 57 秒 (日本時間)
composite number 合成数
144832909899587780597598265127878663290497224709876462005936241844868167151395592901<84>
prime factors 素因数
1025146357116696651304239483244431437107<40>
141280226861403021332074311964974124616443943<45>
factorization results 素因数分解の結果
P45 = 141280226861403021332074311964974124616443943
P40 = 1025146357116696651304239483244431437107

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10130+329

c115

name 名前Ignacio Santos
date 日付September 10, 2022 11:31:20 UTC 2022 年 9 月 10 日 (土) 20 時 31 分 20 秒 (日本時間)
composite number 合成数
1793719296021737641012017692651688890947069761526183845560710646874375810520921743807256977821067711421253969300041<115>
prime factors 素因数
359569099906728372532396877015413669358121583250224577<54>
4988524588144602659156249439792051747058796764078282343057033<61>
factorization results 素因数分解の結果
Number: 1
N=1793719296021737641012017692651688890947069761526183845560710646874375810520921743807256977821067711421253969300041
  ( 115 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=359569099906728372532396877015413669358121583250224577 (pp54)
 r2=4988524588144602659156249439792051747058796764078282343057033 (pp61)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.05 hours.
Scaled time: 15.95 units (timescale=7.776).
Factorization parameters were as follows:
n: 1793719296021737641012017692651688890947069761526183845560710646874375810520921743807256977821067711421253969300041
m: 100000000000000000000000000000000
deg: 4
c4: 1225
c0: 8
skew: 0.28
# Murphy_E = 1.146e-08
type: snfs
lss: 1
rlim: 1070000
alim: 1070000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1070000/1070000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [535000, 1035001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 165071 x 165319
Total sieving time: 2.03 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,131.000,4,0,0,0,0,0,0,0,0,1070000,1070000,26,26,47,47,2.3,2.3,100000
total time: 2.05 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10133+329

c101

name 名前Ignacio Santos
date 日付September 11, 2022 08:44:10 UTC 2022 年 9 月 11 日 (日) 17 時 44 分 10 秒 (日本時間)
composite number 合成数
12432728428841614731209552492440433529693964545835143885606133449263771507842459917635017827544559947<101>
prime factors 素因数
27576193700549110200541412558801395541<38>
450850054356633285740507212785346564027733597756690261884980767<63>
factorization results 素因数分解の結果
Number: 1
N=12432728428841614731209552492440433529693964545835143885606133449263771507842459917635017827544559947
  ( 101 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=27576193700549110200541412558801395541 (pp38)
 r2=450850054356633285740507212785346564027733597756690261884980767 (pp63)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.75 hours.
Scaled time: 21.44 units (timescale=7.788).
Factorization parameters were as follows:
n: 12432728428841614731209552492440433529693964545835143885606133449263771507842459917635017827544559947
m: 1000000000000000000000000000000000
deg: 4
c4: 245
c0: 16
skew: 0.51
# Murphy_E = 8.383e-09
type: snfs
lss: 1
rlim: 1220000
alim: 1220000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1220000/1220000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [610000, 1310001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 173723 x 173948
Total sieving time: 2.73 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,134.000,4,0,0,0,0,0,0,0,0,1220000,1220000,26,26,47,47,2.3,2.3,100000
total time: 2.75 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10135+329

c102

name 名前Ignacio Santos
date 日付September 11, 2022 09:09:49 UTC 2022 年 9 月 11 日 (日) 18 時 9 分 49 秒 (日本時間)
composite number 合成数
395619177705183969735684621884773006671136692396826431914552560738108661505753143370593256008595983641<102>
prime factors 素因数
5487779051072186670668804910074330608211229427<46>
72090944993109556668130531857382939850359191268131455683<56>
factorization results 素因数分解の結果
Number: 1
N=395619177705183969735684621884773006671136692396826431914552560738108661505753143370593256008595983641
  ( 102 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=5487779051072186670668804910074330608211229427 (pp46)
 r2=72090944993109556668130531857382939850359191268131455683 (pp56)
Version: Msieve v. 1.52 (SVN 927)
Total time: 3.42 hours.
Scaled time: 26.64 units (timescale=7.794).
Factorization parameters were as follows:
n: 395619177705183969735684621884773006671136692396826431914552560738108661505753143370593256008595983641
m: 5000000000000000000000000000000000
deg: 4
c4: 49
c0: 20
skew: 0.80
# Murphy_E = 6.235e-09
type: snfs
lss: 1
rlim: 1320000
alim: 1320000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1320000/1320000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [660000, 1560001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 203788 x 204013
Total sieving time: 3.38 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,136.000,4,0,0,0,0,0,0,0,0,1320000,1320000,26,26,48,48,2.3,2.3,100000
total time: 3.42 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10136+329

c120

name 名前Bob Backstrom
date 日付September 10, 2022 05:49:42 UTC 2022 年 9 月 10 日 (土) 14 時 49 分 42 秒 (日本時間)
composite number 合成数
946502891480387683818177236921953754437797614685367734781971910374743294271376972883829600564714236608901225836004483491<120>
prime factors 素因数
78540163653190060550038674454044121<35>
12051195814409837169594912353058284829080670540966741586332514426051490398066871402971<86>
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 946502891480387683818177236921953754437797614685367734781971910374743294271376972883829600564714236608901225836004483491 (120 digits)
Using B1=16880000, B2=58559116990, polynomial Dickson(12), sigma=1:605744752
Step 1 took 25858ms
Step 2 took 12245ms
********** Factor found in step 2: 78540163653190060550038674454044121
Found prime factor of 35 digits: 78540163653190060550038674454044121
Prime cofactor 12051195814409837169594912353058284829080670540966741586332514426051490398066871402971 has 86 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10139+329

c88

name 名前Dmitry Domanov
date 日付September 9, 2022 23:06:52 UTC 2022 年 9 月 10 日 (土) 8 時 6 分 52 秒 (日本時間)
composite number 合成数
2650106575261394079627125921995091401917300339119201709145283471979703341090799921470841<88>
prime factors 素因数
48057309605291319447673227444791692723<38>
55144713614380231223825838370022408837001413560867<50>
factorization results 素因数分解の結果
P50 = 55144713614380231223825838370022408837001413560867
P38 = 48057309605291319447673227444791692723

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10142+329

c107

name 名前Ignacio Santos
date 日付September 11, 2022 14:54:53 UTC 2022 年 9 月 11 日 (日) 23 時 54 分 53 秒 (日本時間)
composite number 合成数
12508518809456193657044354256399600787333102960451826151674954799409997549373068907845009865340133470651969<107>
prime factors 素因数
1998057530944597632578791072081309130565755363<46>
6260339662763710128235720214086915751844056223528148505370763<61>
factorization results 素因数分解の結果
Number: 1
N=12508518809456193657044354256399600787333102960451826151674954799409997549373068907845009865340133470651969
  ( 107 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=1998057530944597632578791072081309130565755363 (pp46)
 r2=6260339662763710128235720214086915751844056223528148505370763 (pp61)
Version: Msieve v. 1.52 (SVN 927)
Total time: 7.14 hours.
Scaled time: 55.42 units (timescale=7.758).
Factorization parameters were as follows:
n: 12508518809456193657044354256399600787333102960451826151674954799409997549373068907845009865340133470651969
m: 100000000000000000000000000000000000
deg: 4
c4: 1225
c0: 8
skew: 0.28
# Murphy_E = 2.919e-09
type: snfs
lss: 1
rlim: 1700000
alim: 1700000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1700000/1700000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [850000, 1550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 230572 x 230798
Total sieving time: 7.10 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,143.000,4,0,0,0,0,0,0,0,0,1700000,1700000,26,26,48,48,2.3,2.3,100000
total time: 7.14 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10143+329

c133

name 名前Bob Backstrom
date 日付September 10, 2022 12:10:09 UTC 2022 年 9 月 10 日 (土) 21 時 10 分 9 秒 (日本時間)
composite number 合成数
1750333581834647462416787807122411818512407825169291912253718247307641310979852639627099907091348153198347957969037935237733989558023<133>
prime factors 素因数
69159273540106001147371395893086588729035063153988928822062071583<65>
25308732903615816489828448979794187684544939801748033735926876070681<68>
factorization results 素因数分解の結果
Number: n
N=1750333581834647462416787807122411818512407825169291912253718247307641310979852639627099907091348153198347957969037935237733989558023  ( 133 digits)
SNFS difficulty: 144 digits.
Divisors found:

Sat Sep 10 22:03:01 2022  p65 factor: 69159273540106001147371395893086588729035063153988928822062071583
Sat Sep 10 22:03:01 2022  p68 factor: 25308732903615816489828448979794187684544939801748033735926876070681
Sat Sep 10 22:03:01 2022  elapsed time 00:02:58 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.279).
Factorization parameters were as follows:
#
# N = 49x10^143+32 = 54(142)8
#
n: 1750333581834647462416787807122411818512407825169291912253718247307641310979852639627099907091348153198347957969037935237733989558023
m: 500000000000000000000000000000000000
deg: 4
c4: 49
c0: 20
skew: 0.80
# Murphy_E = 2.482e-09
type: snfs
lss: 1
rlim: 1790000
alim: 1790000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1790000/1790000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6495000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 405751 hash collisions in 5925072 relations (6193040 unique)
Msieve: matrix is 272360 x 272585 (93.2 MB)

Sieving start time : 2022/09/10 21:40:34
Sieving end time  : 2022/09/10 21:59:52

Total sieving time: 0hrs 19min 18secs.

Total relation processing time: 0hrs 1min 15sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 19sec.

Prototype def-par.txt line would be:
snfs,144,4,0,0,0,0,0,0,0,0,1790000,1790000,26,26,49,49,2.3,2.3,100000
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 JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10144+329

c137

name 名前Bob Backstrom
date 日付September 10, 2022 10:49:25 UTC 2022 年 9 月 10 日 (土) 19 時 49 分 25 秒 (日本時間)
composite number 合成数
16681053496577036928753169767828385888102175001305343500556632457134921513423697201006917955612351206500701050890574347981057643827365841<137>
prime factors 素因数
97254380406370212026072829466848566048813354057<47>
171519816658915440789366643170692997968507799217851903758650006984157806433896694902378313<90>
factorization results 素因数分解の結果
Number: n
N=16681053496577036928753169767828385888102175001305343500556632457134921513423697201006917955612351206500701050890574347981057643827365841  ( 137 digits)
SNFS difficulty: 145 digits.
Divisors found:

Sat Sep 10 20:44:31 2022  p47 factor: 97254380406370212026072829466848566048813354057
Sat Sep 10 20:44:31 2022  p90 factor: 171519816658915440789366643170692997968507799217851903758650006984157806433896694902378313
Sat Sep 10 20:44:31 2022  elapsed time 00:02:49 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.313).
Factorization parameters were as follows:
#
# N = 49x10^144+32 = 54(143)8
#
n: 16681053496577036928753169767828385888102175001305343500556632457134921513423697201006917955612351206500701050890574347981057643827365841
m: 50000000000000000000000000000
deg: 5
c5: 49
c0: 10
skew: 0.73
# Murphy_E = 2.645e-09
type: snfs
lss: 1
rlim: 1840000
alim: 1840000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1840000/1840000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6520000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 511137 hash collisions in 6401870 relations (6318981 unique)
Msieve: matrix is 266719 x 266944 (90.6 MB)

Sieving start time : 2022/09/10 20:32:43
Sieving end time  : 2022/09/10 20:41:30

Total sieving time: 0hrs 8min 47secs.

Total relation processing time: 0hrs 1min 7sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 12sec.

Prototype def-par.txt line would be:
snfs,145,5,0,0,0,0,0,0,0,0,1840000,1840000,26,26,49,49,2.3,2.3,100000
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 JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10146+329

c141

name 名前Ignacio Santos
date 日付September 11, 2022 10:14:22 UTC 2022 年 9 月 11 日 (日) 19 時 14 分 22 秒 (日本時間)
composite number 合成数
227036508211864168041859230692815341663071149720291021882983344972429427786451499071096343544601461040164518993966944967091753144409304753051<141>
prime factors 素因数
1197324594367299654757811348933523961<37>
189619848518886151891442615307231744045267948987174708893988305454346994403849517796082403954765821136691<105>
factorization results 素因数分解の結果
Number: 1
N=227036508211864168041859230692815341663071149720291021882983344972429427786451499071096343544601461040164518993966944967091753144409304753051
  ( 141 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=1197324594367299654757811348933523961 (pp37)
 r2=189619848518886151891442615307231744045267948987174708893988305454346994403849517796082403954765821136691 (pp105)
Version: Msieve v. 1.52 (SVN 927)
Total time: 9.86 hours.
Scaled time: 76.81 units (timescale=7.788).
Factorization parameters were as follows:
n: 227036508211864168041859230692815341663071149720291021882983344972429427786451499071096343544601461040164518993966944967091753144409304753051
m: 1000000000000000000000000000000000000
deg: 4
c4: 1225
c0: 8
skew: 0.28
# Murphy_E = 1.833e-09
type: snfs
lss: 1
rlim: 1980000
alim: 1980000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1980000/1980000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [990000, 1990001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 290100 x 290325
Total sieving time: 9.82 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,147.000,4,0,0,0,0,0,0,0,0,1980000,1980000,26,26,49,49,2.3,2.3,100000
total time: 9.86 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10148+329

c126

name 名前Eric Jeancolas
date 日付September 14, 2022 01:24:41 UTC 2022 年 9 月 14 日 (水) 10 時 24 分 41 秒 (日本時間)
composite number 合成数
428824914117970703140293252296311908625295925181574647766487855108405404393845610306978115288763017727744317943181818679694161<126>
prime factors 素因数
482861381417457560917136492251255221354157920705575566579<57>
888091138825679543119235317396060035288803987644055856536663394054059<69>
factorization results 素因数分解の結果
428824914117970703140293252296311908625295925181574647766487855108405404393845610306978115288763017727744317943181818679694161=482861381417457560917136492251255221354157920705575566579*888091138825679543119235317396060035288803987644055856536663394054059

cado polynomial
n: 428824914117970703140293252296311908625295925181574647766487855108405404393845610306978115288763017727744317943181818679694161
skew: 0.90
type: snfs
c0: 32
c4: 49
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 49*x^4+32
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2200000
tasks.lim1 = 2200000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 49
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 482861381417457560917136492251255221354157920705575566579 888091138825679543119235317396060035288803987644055856536663394054059
Info:Square Root: Total cpu/real time for sqrt: 49.24/36.5163
Info:Generate Factor Base: Total cpu/real time for makefb: 1.13/1.39985
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6050442
Info:Lattice Sieving: Average J: 1892.5 for 193529 special-q, max bucket fill -bkmult 1.0,1s:1.338720
Info:Lattice Sieving: Total time: 32841.7s
Info:Linear Algebra: Total cpu/real time for bwc: 1427.88/1145.89
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 699.38, WCT time 569.42, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (9088 iterations)
Info:Linear Algebra: Lingen CPU time 318.56, WCT time 252.07
Info:Linear Algebra: Mksol: CPU time 384.11,  WCT time 301.65, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (4608 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 37.49/25.2207
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 51.64/75.6206
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 70.5s
Info:Square Root: Total cpu/real time for sqrt: 49.24/36.5163
Info:Quadratic Characters: Total cpu/real time for characters: 9.47/7.72788
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 24.75/42.9028
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 42.6s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 33.37/50.2349
Info:Filtering - Merging: Merged matrix has 288837 rows and total weight 49248696 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 62.41/46.365
Info:Filtering - Merging: Total cpu/real time for replay: 10.4/11.2255
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 32219.2/18128.6
Info:root: Cleaning up computation data in /tmp/cado.37eqqreq
482861381417457560917136492251255221354157920705575566579 888091138825679543119235317396060035288803987644055856536663394054059
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 JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10151+329

c138

name 名前Ignacio Santos
date 日付September 14, 2022 08:08:37 UTC 2022 年 9 月 14 日 (水) 17 時 8 分 37 秒 (日本時間)
composite number 合成数
292775758884669478156770359627456461803498988692632188337547140080740144680435456535777624225247245545086269360673239522565923628879565167<138>
prime factors 素因数
7819484097139018581160786528172801<34>
37441825476924986027361244558536145700732317795423884063192280762536804175114588771170838543148051987567<104>
factorization results 素因数分解の結果
Number: 1
N=292775758884669478156770359627456461803498988692632188337547140080740144680435456535777624225247245545086269360673239522565923628879565167
  ( 138 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=7819484097139018581160786528172801 (pp34)
 r2=37441825476924986027361244558536145700732317795423884063192280762536804175114588771170838543148051987567 (pp104)
Version: Msieve v. 1.52 (SVN 927)
Total time: 9.20 hours.
Scaled time: 71.69 units (timescale=7.794).
Factorization parameters were as follows:
n: 292775758884669478156770359627456461803498988692632188337547140080740144680435456535777624225247245545086269360673239522565923628879565167
m: 1000000000000000000000000000000
deg: 5
c5: 245
c0: 16
skew: 0.58
# Murphy_E = 1.173e-09
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1200000, 1900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 370960 x 371184
Total sieving time: 9.12 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,152.000,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,50,50,2.4,2.4,100000
total time: 9.20 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10155+329

c139

name 名前Eric Jeancolas
date 日付September 15, 2022 18:34:30 UTC 2022 年 9 月 16 日 (金) 3 時 34 分 30 秒 (日本時間)
composite number 合成数
2903059791210539010498699974114877242884057987641401969026532247188671384436837494209622285800393605939115074187484171190445377108193250969<139>
prime factors 素因数
4358391307667806553363808590060699739266613702064542710663<58>
666085164520020683065716191257004517844163649634738845077022948801163618685578463<81>
factorization results 素因数分解の結果
2903059791210539010498699974114877242884057987641401969026532247188671384436837494209622285800393605939115074187484171190445377108193250969=4358391307667806553363808590060699739266613702064542710663*666085164520020683065716191257004517844163649634738845077022948801163618685578463

cado polynomial
n: 2903059791210539010498699974114877242884057987641401969026532247188671384436837494209622285800393605939115074187484171190445377108193250969
skew: 0.92
type: snfs
c0: 32
c5: 49
Y0: 10000000000000000000000000000000
Y1: -1
# f(x) = 49*x^5+32
# g(x) = -x+10000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2900000
tasks.lim1 = 2900000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 50
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 666085164520020683065716191257004517844163649634738845077022948801163618685578463 4358391307667806553363808590060699739266613702064542710663
Info:Square Root: Total cpu/real time for sqrt: 47.36/14.9005
Info:Linear Algebra: Total cpu/real time for bwc: 1015.16/262.67
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 613.14, WCT time 156.56, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8704 iterations)
Info:Linear Algebra: Lingen CPU time 43.67, WCT time 11.1
Info:Linear Algebra: Mksol: CPU time 335.15,  WCT time 85.62, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4352 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 60.73/16.8692
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 102.79/83.3916
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 76.3s
Info:Square Root: Total cpu/real time for sqrt: 47.36/14.9005
Info:Generate Factor Base: Total cpu/real time for makefb: 1.27/0.758348
Info:Quadratic Characters: Total cpu/real time for characters: 8.66/3.42991
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.36/44.9573
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 44.9s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 92.87/81.5636
Info:Filtering - Merging: Merged matrix has 274841 rows and total weight 46913335 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 55.02/15.2257
Info:Filtering - Merging: Total cpu/real time for replay: 8.49/7.05725
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11649642
Info:Lattice Sieving: Average J: 1894 for 172516 special-q, max bucket fill -bkmult 1.0,1s:1.230030
Info:Lattice Sieving: Total time: 22079.2s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 41399.4/11716.5
Info:root: Cleaning up computation data in /tmp/cado.4j01srdg
666085164520020683065716191257004517844163649634738845077022948801163618685578463 4358391307667806553363808590060699739266613702064542710663
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 JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10156+329

c123

name 名前Ignacio Santos
date 日付September 16, 2022 14:13:47 UTC 2022 年 9 月 16 日 (金) 23 時 13 分 47 秒 (日本時間)
composite number 合成数
137582753837831730363025274549450653092491690010437885078264284774425495870036433354756736857481217251730870628688781026569<123>
prime factors 素因数
132740396126433132430208331650781275565438801707<48>
1036479910055310733243192618001909731537520420931274336548710147159766784667<76>
factorization results 素因数分解の結果
Number: 1
N=137582753837831730363025274549450653092491690010437885078264284774425495870036433354756736857481217251730870628688781026569
  ( 123 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=132740396126433132430208331650781275565438801707 (pp48)
 r2=1036479910055310733243192618001909731537520420931274336548710147159766784667 (pp76)
Version: Msieve v. 1.52 (SVN 927)
Total time: 12.46 hours.
Scaled time: 96.04 units (timescale=7.710).
Factorization parameters were as follows:
n: 137582753837831730363025274549450653092491690010437885078264284774425495870036433354756736857481217251730870628688781026569
m: 10000000000000000000000000000000
deg: 5
c5: 245
c0: 16
skew: 0.58
# Murphy_E = 7.549e-10
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1450000, 2450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 478497 x 478728
Total sieving time: 12.36 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,157.000,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 12.46 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10157+329

c106

name 名前Eric Jeancolas
date 日付September 9, 2022 20:15:02 UTC 2022 年 9 月 10 日 (土) 5 時 15 分 2 秒 (日本時間)
composite number 合成数
7954035093440981121685972462240509791875084492997411780959789494138112581726101882593215756945750113858549<106>
prime factors 素因数
5551260447254618131677423078435647287<37>
1432834068769851681954786959769612235399649495722505109342121975141427<70>
factorization results 素因数分解の結果
7954035093440981121685972462240509791875084492997411780959789494138112581726101882593215756945750113858549=5551260447254618131677423078435647287*1432834068769851681954786959769612235399649495722505109342121975141427

cado polynomial
n: 7954035093440981121685972462240509791875084492997411780959789494138112581726101882593215756945750113858549
skew: 27977.139
c0: -10759418595835907592583542
c1: 4777141838675164746773
c2: 121643843586535170
c3: -9116679645389
c4: -133507152
c5: 2160
Y0: -537591296867183900821
Y1: 135674138131459
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 2.852e-06
# f(x) = 2160*x^5-133507152*x^4-9116679645389*x^3+121643843586535170*x^2+4777141838675164746773*x-10759418595835907592583542
# g(x) = 135674138131459*x-537591296867183900821

cado parameters (extracts)
tasks.lim0 = 1000000
tasks.lim1 = 1600000
tasks.lpb0 = 25
tasks.lpb1 = 26
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 5551260447254618131677423078435647287 1432834068769851681954786959769612235399649495722505109342121975141427
Info:Square Root: Total cpu/real time for sqrt: 63.78/19.3787
Info:Filtering - Singleton removal: Total cpu/real time for purge: 36.74/41.099
Info:Filtering - Merging: Merged matrix has 231664 rows and total weight 33848146 (146.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 30.75/9.25423
Info:Filtering - Merging: Total cpu/real time for replay: 7.39/5.86704
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4890140
Info:Lattice Sieving: Average J: 1923.82 for 53883 special-q, max bucket fill -bkmult 1.0,1s:1.326160
Info:Lattice Sieving: Total time: 5079.16s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 142.17
Info:Polynomial Selection (root optimized): Rootsieve time: 141.55
Info:Linear Algebra: Total cpu/real time for bwc: 638.7/166.21
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 377.92, WCT time 97.0, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7296 iterations)
Info:Linear Algebra: Lingen CPU time 32.67, WCT time 8.34
Info:Linear Algebra: Mksol: CPU time 210.97,  WCT time 54.16, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3712 iterations)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 9952.64
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 9700/29.720/37.481/42.990/1.064
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 7489/29.970/33.255/37.960/0.878
Info:Polynomial Selection (size optimized): Total time: 500.85
Info:Generate Free Relations: Total cpu/real time for freerel: 63.41/16.5343
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 59.79/58.794
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 45.5s
Info:Square Root: Total cpu/real time for sqrt: 63.78/19.3787
Info:Generate Factor Base: Total cpu/real time for makefb: 1.46/0.413047
Info:Quadratic Characters: Total cpu/real time for characters: 8.79/3.40627
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 19.18/18.0212
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 17.499999999999996s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 10643.4/3063.07
Info:root: Cleaning up computation data in /tmp/cado.e6spoo_1
5551260447254618131677423078435647287 1432834068769851681954786959769612235399649495722505109342121975141427
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 JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10159+329

c115

name 名前Eric Jeancolas
date 日付September 16, 2022 12:59:24 UTC 2022 年 9 月 16 日 (金) 21 時 59 分 24 秒 (日本時間)
composite number 合成数
1168626734099249853014441853333731592869341807678562747780786995172027023723914070364462332401906672699078322937429<115>
prime factors 素因数
120653249372068811962107389663724862408879897758283<51>
9685828936902105202264996213386879300856570567314283987084023263<64>
factorization results 素因数分解の結果
1168626734099249853014441853333731592869341807678562747780786995172027023723914070364462332401906672699078322937429=120653249372068811962107389663724862408879897758283*9685828936902105202264996213386879300856570567314283987084023263

cado polynomial
n: 1168626734099249853014441853333731592869341807678562747780786995172027023723914070364462332401906672699078322937429
skew: 122803.446
c0: -3150286948470559751270068080
c1: 95608572413143809072182
c2: 8708193029291874081
c3: -14202650063651
c4: -235192995
c5: 540
Y0: -29149973185158782605501
Y1: 4946806263500347
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.062e-06
# f(x) = 540*x^5-235192995*x^4-14202650063651*x^3+8708193029291874081*x^2+95608572413143809072182*x-3150286948470559751270068080
# g(x) = 4946806263500347*x-29149973185158782605501

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

cado log (extracts)
Info:Square Root: Factors: 9685828936902105202264996213386879300856570567314283987084023263 120653249372068811962107389663724862408879897758283
Info:Square Root: Total cpu/real time for sqrt: 131.83/40.0257
Info:Generate Factor Base: Total cpu/real time for makefb: 4.19/1.16254
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7232745
Info:Lattice Sieving: Average J: 1938 for 151818 special-q, max bucket fill -bkmult 1.0,1s:1.313650
Info:Lattice Sieving: Total time: 17316.7s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 355.02
Info:Polynomial Selection (root optimized): Rootsieve time: 353.93
Info:Linear Algebra: Total cpu/real time for bwc: 2766.37/712.69
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1717.88, WCT time 439.32, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14208 iterations)
Info:Linear Algebra: Lingen CPU time 69.67, WCT time 17.75
Info:Linear Algebra: Mksol: CPU time 939.9,  WCT time 239.89, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7040 iterations)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21492.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21867/33.360/40.660/47.760/1.076
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 17075/32.270/35.990/42.250/0.819
Info:Polynomial Selection (size optimized): Total time: 1796.66
Info:Generate Free Relations: Total cpu/real time for freerel: 63.76/16.9511
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 115.21/122.812
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 91.89999999999999s
Info:Quadratic Characters: Total cpu/real time for characters: 16.57/6.54028
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 29.11/29.6573
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 28.9s
Info:Square Root: Total cpu/real time for sqrt: 131.83/40.0257
Info:Filtering - Singleton removal: Total cpu/real time for purge: 86.99/98.7781
Info:Filtering - Merging: Merged matrix has 450556 rows and total weight 70349572 (156.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 73.04/21.384
Info:Filtering - Merging: Total cpu/real time for replay: 15.27/12.4309
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 37264.9/10201.9
Info:root: Cleaning up computation data in /tmp/cado.0u27twg6
9685828936902105202264996213386879300856570567314283987084023263 120653249372068811962107389663724862408879897758283
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 JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10160+329

c131

name 名前Norman Powell
date 日付September 17, 2022 13:51:32 UTC 2022 年 9 月 17 日 (土) 22 時 51 分 32 秒 (日本時間)
composite number 合成数
21817201716077949723083909824475680734165512407281625239359867064044612322554281247076865817987086973595976125598774836960218479307<131>
prime factors 素因数
86641527156431047352662718757700168875971473<44>
251809985720670065324915704562219444249001393185867692235259722176401715037770726408859<87>
factorization results 素因数分解の結果
n: 2181......9307
skew: 793209.29
c0: 255826455018920516120810718730536
c1: 4687063382506943091727702746
c2: -11007592052441107958483
c3: -9869049312833146
c4: 18803942152
c5: 9240
Y0: -18819089237526360515202293
Y1: 2855374283070791
rlim: 9500000
alim: 9500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5

nfs: commencing nfs on c131
nfs: commencing lattice sieving with 6 threads
nfs: commencing msieve filtering
nfs: commencing msieve linear algebra
nfs: commencing msieve sqrt
prp87 = 251809985720670065324915704562219444249001393185867692235259722176401715037770726408859
prp44 = 86641527156431047352662718757700168875971473
Total factoring time = 65945.3351 seconds, (18.32 hours).
software ソフトウェア
YAFU v2.09
execution environment 実行環境
Windows 10 x64 v21H1. Intel i7-7700 3.6 GHz.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10163+329

c134

name 名前Bob Backstrom
date 日付September 17, 2022 09:53:58 UTC 2022 年 9 月 17 日 (土) 18 時 53 分 58 秒 (日本時間)
composite number 合成数
17762825788292980859164794563504200793719109235000903080399816332747690204141264052623987483723937586554830246012659337099303964493289<134>
prime factors 素因数
5390045634764996082754155109848881150631707380645162411729<58>
3295487087108388319585788568761997371499015415434319830424296806613414175641<76>
factorization results 素因数分解の結果
Number: n
N=17762825788292980859164794563504200793719109235000903080399816332747690204141264052623987483723937586554830246012659337099303964493289  ( 134 digits)
SNFS difficulty: 163 digits.
Divisors found:

Sat Sep 17 19:49:12 2022  p58 factor: 5390045634764996082754155109848881150631707380645162411729
Sat Sep 17 19:49:12 2022  p76 factor: 3295487087108388319585788568761997371499015415434319830424296806613414175641
Sat Sep 17 19:49:12 2022  elapsed time 00:08:25 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.318).
Factorization parameters were as follows:
#
# N = 49x10^163+32 = 54(162)8
#
n: 17762825788292980859164794563504200793719109235000903080399816332747690204141264052623987483723937586554830246012659337099303964493289
m: 100000000000000000000000000000000
deg: 5
c5: 6125
c0: 4
skew: 0.23
# Murphy_E = 3.436e-10
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 14700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1369941 hash collisions in 13385801 relations (12838434 unique)
Msieve: matrix is 570188 x 570413 (194.6 MB)

Sieving start time : 2022/09/17 18:34:14
Sieving end time  : 2022/09/17 19:40:32

Total sieving time: 1hrs 6min 18secs.

Total relation processing time: 0hrs 4min 37sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 38sec.

Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10165+329

c134

name 名前Bob Backstrom
date 日付September 17, 2022 10:56:12 UTC 2022 年 9 月 17 日 (土) 19 時 56 分 12 秒 (日本時間)
composite number 合成数
72088849596650957244500348850349260012980221363675310742994350197753335979181893409150455432756516093356559071802728165460813431532423<134>
prime factors 素因数
133556911215846702926385560235117997540581481<45>
539761281841456068055531115201912788928933846927392970485112343401570206624728917303209583<90>
factorization results 素因数分解の結果
Number: n
N=72088849596650957244500348850349260012980221363675310742994350197753335979181893409150455432756516093356559071802728165460813431532423  ( 134 digits)
SNFS difficulty: 166 digits.
Divisors found:

Sat Sep 17 20:50:27 2022  p45 factor: 133556911215846702926385560235117997540581481
Sat Sep 17 20:50:27 2022  p90 factor: 539761281841456068055531115201912788928933846927392970485112343401570206624728917303209583
Sat Sep 17 20:50:27 2022  elapsed time 00:07:45 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.296).
Factorization parameters were as follows:
#
# N = 49x10^165+32 = 54(164)8
#
n: 72088849596650957244500348850349260012980221363675310742994350197753335979181893409150455432756516093356559071802728165460813431532423
m: 1000000000000000000000000000000000
deg: 5
c5: 49
c0: 32
skew: 0.92
# Murphy_E = 3.828e-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, 7700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1301261 hash collisions in 13605079 relations (13167479 unique)
Msieve: matrix is 533918 x 534143 (181.5 MB)

Sieving start time : 2022/09/17 19:51:10
Sieving end time  : 2022/09/17 20:42:27

Total sieving time: 0hrs 51min 17secs.

Total relation processing time: 0hrs 4min 0sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 29sec.

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 JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10166+329

c139

name 名前Bob Backstrom
date 日付September 12, 2022 15:34:09 UTC 2022 年 9 月 13 日 (火) 0 時 34 分 9 秒 (日本時間)
composite number 合成数
4065801196505164707824960425598895318556296319414007677894075063243325859909632515061378770105534379672716805666363879356534636257542533753<139>
prime factors 素因数
39307531915280393452944335299602091155236034851587484209<56>
103435677550760363506248541845168171358086702656397848111863937189053461468007215817<84>
factorization results 素因数分解の結果
Number: n
N=4065801196505164707824960425598895318556296319414007677894075063243325859909632515061378770105534379672716805666363879356534636257542533753  ( 139 digits)
SNFS difficulty: 167 digits.
Divisors found:

Tue Sep 13 01:29:44 2022  p56 factor: 39307531915280393452944335299602091155236034851587484209
Tue Sep 13 01:29:44 2022  p84 factor: 103435677550760363506248541845168171358086702656397848111863937189053461468007215817
Tue Sep 13 01:29:44 2022  elapsed time 00:09:51 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.327).
Factorization parameters were as follows:
#
# N = 49x10^166+32 = 54(165)8
#
n: 4065801196505164707824960425598895318556296319414007677894075063243325859909632515061378770105534379672716805666363879356534636257542533753
m: 1000000000000000000000000000000000
deg: 5
c5: 245
c0: 16
skew: 0.58
# Murphy_E = 3.081e-10
type: snfs
lss: 1
rlim: 4300000
alim: 4300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4300000/4300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 29350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1114801 hash collisions in 12946757 relations (12672649 unique)
Msieve: matrix is 655143 x 655370 (225.7 MB)

Sieving start time : 2022/09/12 22:13:41
Sieving end time  : 2022/09/13 01:19:15

Total sieving time: 3hrs 5min 34secs.

Total relation processing time: 0hrs 5min 57sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 42sec.

Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,4300000,4300000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10171+329

c129

name 名前Ignacio Santos
date 日付September 20, 2022 13:51:15 UTC 2022 年 9 月 20 日 (火) 22 時 51 分 15 秒 (日本時間)
composite number 合成数
564335331077224817262588527221435918313175929115196304234875767147927694806912238757574540946023572085973956968439756087267775283<129>
prime factors 素因数
19906745828045179499790681397579342429733642867<47>
28348949444171504991554541447246022303194761859775496209621170012679285567043984449<83>
factorization results 素因数分解の結果
Number: 1
N=564335331077224817262588527221435918313175929115196304234875767147927694806912238757574540946023572085973956968439756087267775283
  ( 129 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=19906745828045179499790681397579342429733642867 (pp47)
 r2=28348949444171504991554541447246022303194761859775496209621170012679285567043984449 (pp83)
Version: Msieve v. 1.52 (SVN 927)
Total time: 38.95 hours.
Scaled time: 302.37 units (timescale=7.764).
Factorization parameters were as follows:
n: 564335331077224817262588527221435918313175929115196304234875767147927694806912238757574540946023572085973956968439756087267775283
m: 10000000000000000000000000000000000
deg: 5
c5: 245
c0: 16
skew: 0.58
# Murphy_E = 1.954e-10
type: snfs
lss: 1
rlim: 5200000
alim: 5200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2600000, 5500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 975638 x 975869
Total sieving time: 38.70 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.19 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,172.000,5,0,0,0,0,0,0,0,0,5200000,5200000,27,27,52,52,2.4,2.4,100000
total time: 38.95 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosSeptember 20, 2022 12:05:21 UTC 2022 年 9 月 20 日 (火) 21 時 5 分 21 秒 (日本時間)

49×10174+329

c158

name 名前Bob Backstrom
date 日付September 16, 2022 11:31:01 UTC 2022 年 9 月 16 日 (金) 20 時 31 分 1 秒 (日本時間)
composite number 合成数
27672934760498721558225473255257765318595978921569773160037563647057903949768962147640117125889017272786194534379222655774386375257029214334971431411111873587<158>
prime factors 素因数
81520410301079305201408022858033326184043359274101777<53>
339460199700839096476153916677433744437576025490216913900683783313558082239847550205178033022202080790531<105>
factorization results 素因数分解の結果
Number: n
N=27672934760498721558225473255257765318595978921569773160037563647057903949768962147640117125889017272786194534379222655774386375257029214334971431411111873587  ( 158 digits)
SNFS difficulty: 175 digits.
Divisors found:

Fri Sep 16 18:35:03 2022  p53 factor: 81520410301079305201408022858033326184043359274101777
Fri Sep 16 18:35:03 2022  p105 factor: 339460199700839096476153916677433744437576025490216913900683783313558082239847550205178033022202080790531
Fri Sep 16 18:35:03 2022  elapsed time 00:13:32 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.330).
Factorization parameters were as follows:
#
# N = 49x10^174+32 = 54(173)8
#
n: 27672934760498721558225473255257765318595978921569773160037563647057903949768962147640117125889017272786194534379222655774386375257029214334971431411111873587
m: 50000000000000000000000000000000000
deg: 5
c5: 49
c0: 10
skew: 0.73
# Murphy_E = 1.817e-10
type: snfs
lss: 1
rlim: 4800000
alim: 4800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 22400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1738883 hash collisions in 14310274 relations (13391689 unique)
Msieve: matrix is 716237 x 716468 (245.9 MB)

Sieving start time : 2022/09/16 16:29:59
Sieving end time  : 2022/09/16 18:21:14

Total sieving time: 1hrs 51min 15secs.

Total relation processing time: 0hrs 7min 21sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 37sec.

Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,4800000,4800000,27,27,51,51,2.5,2.5,100000
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 JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10175+329

c146

name 名前Bob Backstrom
date 日付September 22, 2022 03:59:08 UTC 2022 年 9 月 22 日 (木) 12 時 59 分 8 秒 (日本時間)
composite number 合成数
64297045420400347333284784296912990173337945259552736434980150621713362361311696480139641116066317506555243190894632864248572281956877171901757367<146>
prime factors 素因数
61806912181623660435984495966939106963103410941208283840006570923267<68>
1040288911885118403031399522059381281692187227257385763728501000807930213962301<79>
factorization results 素因数分解の結果
Number: n
N=64297045420400347333284784296912990173337945259552736434980150621713362361311696480139641116066317506555243190894632864248572281956877171901757367  ( 146 digits)
SNFS difficulty: 176 digits.
Divisors found:

Thu Sep 22 13:53:51 2022  p68 factor: 61806912181623660435984495966939106963103410941208283840006570923267
Thu Sep 22 13:53:51 2022  p79 factor: 1040288911885118403031399522059381281692187227257385763728501000807930213962301
Thu Sep 22 13:53:51 2022  elapsed time 00:14:57 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 49x10^175+32 = 54(174)8
#
n: 64297045420400347333284784296912990173337945259552736434980150621713362361311696480139641116066317506555243190894632864248572281956877171901757367
m: 100000000000000000000000000000000000
deg: 5
c5: 49
c0: 32
skew: 0.92
# Murphy_E = 1.534e-10
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 7700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1392107 hash collisions in 12998819 relations (12384664 unique)
Msieve: matrix is 821166 x 821391 (284.1 MB)

Sieving start time : 2022/09/22 12:54:38
Sieving end time  : 2022/09/22 13:38:34

Total sieving time: 0hrs 43min 56secs.

Total relation processing time: 0hrs 9min 53sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 44sec.

Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,52,52,2.5,2.5,100000
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 JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosSeptember 20, 2022 12:34:41 UTC 2022 年 9 月 20 日 (火) 21 時 34 分 41 秒 (日本時間)

49×10179+329

c156

name 名前Bob Backstrom
date 日付October 2, 2022 13:03:18 UTC 2022 年 10 月 2 日 (日) 22 時 3 分 18 秒 (日本時間)
composite number 合成数
119765230126768326065036437129915783398911251016758509785936056986754996708868367500727763304719205246265168199865096548809561863128470180227180262054896869<156>
prime factors 素因数
327895908457309000582669073565994213515117021127770587412689<60>
365253810851870926261623539768695337679582789905482052000916210543584538553131379795930611953621<96>
factorization results 素因数分解の結果
Number: n
N=119765230126768326065036437129915783398911251016758509785936056986754996708868367500727763304719205246265168199865096548809561863128470180227180262054896869  ( 156 digits)
SNFS difficulty: 180 digits.
Divisors found:

Mon Oct  3 00:01:05 2022  p60 factor: 327895908457309000582669073565994213515117021127770587412689
Mon Oct  3 00:01:05 2022  p96 factor: 365253810851870926261623539768695337679582789905482052000916210543584538553131379795930611953621
Mon Oct  3 00:01:05 2022  elapsed time 00:14:10 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.334).
Factorization parameters were as follows:
#
# N = 49x10^179+32 = 54(178)8
#
n: 119765230126768326065036437129915783398911251016758509785936056986754996708868367500727763304719205246265168199865096548809561863128470180227180262054896869
m: 500000000000000000000000000000000000
deg: 5
c5: 49
c0: 10
skew: 0.73
# Murphy_E = 1.144e-10
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1121278 hash collisions in 12657094 relations (12349878 unique)
Msieve: matrix is 809437 x 809663 (282.6 MB)

Sieving start time : 2022/10/02 22:06:03
Sieving end time  : 2022/10/02 23:46:39

Total sieving time: 1hrs 40min 36secs.

Total relation processing time: 0hrs 9min 55sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 56sec.

Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,52,52,2.5,2.5,100000
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 JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosSeptember 18, 2022 15:25:51 UTC 2022 年 9 月 19 日 (月) 0 時 25 分 51 秒 (日本時間)

49×10183+329

c167

name 名前Bob Backstrom
date 日付September 23, 2022 17:22:54 UTC 2022 年 9 月 24 日 (土) 2 時 22 分 54 秒 (日本時間)
composite number 合成数
62142342794329424416555210932754800807820076735879964532067876131527280110389548998417851708494166702856138916891762431711714448658321361001565690543580589015594781561<167>
prime factors 素因数
5823410165337525139100400873606746893146065679133810207671229790187488294718583<79>
10671125857528816395356021195519436943205376926980403506665207868987359717123814518215567<89>
factorization results 素因数分解の結果
Number: n
N=62142342794329424416555210932754800807820076735879964532067876131527280110389548998417851708494166702856138916891762431711714448658321361001565690543580589015594781561  ( 167 digits)
SNFS difficulty: 183 digits.
Divisors found:

Fri Sep 23 23:53:52 2022  p79 factor: 5823410165337525139100400873606746893146065679133810207671229790187488294718583
Fri Sep 23 23:53:52 2022  p89 factor: 10671125857528816395356021195519436943205376926980403506665207868987359717123814518215567
Fri Sep 23 23:53:52 2022  elapsed time 00:25:22 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.306).
Factorization parameters were as follows:
#
# N = 49x10^183+32 = 54(182)8
#
n: 62142342794329424416555210932754800807820076735879964532067876131527280110389548998417851708494166702856138916891762431711714448658321361001565690543580589015594781561
m: 1000000000000000000000000000000000000
deg: 5
c5: 6125
c0: 4
skew: 0.23
# Murphy_E = 5.488e-11
type: snfs
lss: 1
rlim: 8100000
alim: 8100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8100000/8100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3531074 hash collisions in 28682552 relations (26756995 unique)
Msieve: matrix is 995111 x 995335 (341.9 MB)

Sieving start time : 2022/09/23 19:38:53
Sieving end time  : 2022/09/23 23:28:00

Total sieving time: 3hrs 49min 7secs.

Total relation processing time: 0hrs 15min 54sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 28sec.

Prototype def-par.txt line would be:
snfs,183,5,0,0,0,0,0,0,0,0,8100000,8100000,28,28,53,53,2.5,2.5,100000
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 JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosSeptember 18, 2022 09:46:37 UTC 2022 年 9 月 18 日 (日) 18 時 46 分 37 秒 (日本時間)

49×10184+329

c166

name 名前Bob Backstrom
date 日付September 23, 2022 17:21:17 UTC 2022 年 9 月 24 日 (土) 2 時 21 分 17 秒 (日本時間)
composite number 合成数
2623667605219772982640424472966921879394273408153553318969053916089756094733687435829471948600057535191782473183773632932490825780189873847351029928134913380165576851<166>
prime factors 素因数
6333105809527499493028162120139484276577575131<46>
414278188953157508819225972004784226537947975513288505686825995466789812905593392251127345560678857362046100269342206121<120>
factorization results 素因数分解の結果
Number: n
N=2623667605219772982640424472966921879394273408153553318969053916089756094733687435829471948600057535191782473183773632932490825780189873847351029928134913380165576851  ( 166 digits)
SNFS difficulty: 185 digits.
Divisors found:

Sat Sep 24 03:16:20 2022  p46 factor: 6333105809527499493028162120139484276577575131
Sat Sep 24 03:16:20 2022  p120 factor: 414278188953157508819225972004784226537947975513288505686825995466789812905593392251127345560678857362046100269342206121
Sat Sep 24 03:16:20 2022  elapsed time 00:20:24 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.333).
Factorization parameters were as follows:
#
# N = 49x10^184+32 = 54(183)8
#
n: 2623667605219772982640424472966921879394273408153553318969053916089756094733687435829471948600057535191782473183773632932490825780189873847351029928134913380165576851
m: 5000000000000000000000000000000000000
deg: 5
c5: 49
c0: 10
skew: 0.73
# Murphy_E = 7.167e-11
type: snfs
lss: 1
rlim: 8500000
alim: 8500000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8500000/8500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 9850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2855376 hash collisions in 28982597 relations (27957566 unique)
Msieve: matrix is 887573 x 887798 (308.8 MB)

Sieving start time : 2022/09/23 23:56:07
Sieving end time  : 2022/09/24 02:55:00

Total sieving time: 2hrs 58min 53secs.

Total relation processing time: 0hrs 12min 15sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 59sec.

Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,8500000,8500000,28,28,54,54,2.5,2.5,100000
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 JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosSeptember 18, 2022 10:05:28 UTC 2022 年 9 月 18 日 (日) 19 時 5 分 28 秒 (日本時間)

49×10185+329

c113

name 名前ebina
date 日付September 10, 2022 19:20:14 UTC 2022 年 9 月 11 日 (日) 4 時 20 分 14 秒 (日本時間)
composite number 合成数
14636872063268759936264694369294242676957323079310133482468553251697421864093288206576753582057349844623824441243<113>
prime factors 素因数
15818506554458455180528048418539285229631402056579461<53>
925300502476534304526553659000368283999293920273267758063263<60>
factorization results 素因数分解の結果
Number: 54448_185
N = 14636872063268759936264694369294242676957323079310133482468553251697421864093288206576753582057349844623824441243 (113 digits)
Divisors found:
r1=15818506554458455180528048418539285229631402056579461 (pp53)
r2=925300502476534304526553659000368283999293920273267758063263 (pp60)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 4.34 hours.
Factorization parameters were as follows:
n: 14636872063268759936264694369294242676957323079310133482468553251697421864093288206576753582057349844623824441243
# norm 1.164228e-10 alpha -5.861029 e 7.409e-10 rroots 5
skew: 137364.91
c0: -870004498122259262010226944
c1: 170652820973806716197928
c2: -8133292127847388219
c3: 33627935618632
c4: 317124168
c5: 420
Y0: -8099115469238260190029
Y1: 272493647843
type: gnfs
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 8400194
Relations: 610922 relations
Pruned matrix : 364452 x 364677
Polynomial selection time: 0.02 hours.
Total sieving time: 4.16 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.08 hours.
time per square root: 0.01 hours.
Prototype def-par.txt line would be: gnfs,112,5,61,2000,0.00016,0.25,250,15,50000,2800,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 4.34 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
processors: 2, speed: 2.99GHz
Windows-7-6.1.7601-SP1
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 JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10187+329

c158

name 名前Ignacio Santos
date 日付September 15, 2022 12:43:55 UTC 2022 年 9 月 15 日 (木) 21 時 43 分 55 秒 (日本時間)
composite number 合成数
54999591422770631034578179404923638217857116556169704757463038919590668250414880374961340676555317453964890892045085072547820031813814680799978125686477151881<158>
prime factors 素因数
69084450166924260292869422976328986123523<41>
composite cofactor 合成数の残り
796121142889299953235033108838331851702334321472634928247699809206815620726625909901497128071783207505320915651478147<117>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2284242648
Step 1 took 5016ms
Step 2 took 2953ms
********** Factor found in step 2: 69084450166924260292869422976328986123523
Found prime factor of 41 digits: 69084450166924260292869422976328986123523
Composite cofactor 796121142889299953235033108838331851702334321472634928247699809206815620726625909901497128071783207505320915651478147 has 117 digits
software ソフトウェア
GMP-ECM

c117

name 名前Eric Jeancolas
date 日付September 16, 2022 02:21:06 UTC 2022 年 9 月 16 日 (金) 11 時 21 分 6 秒 (日本時間)
composite number 合成数
796121142889299953235033108838331851702334321472634928247699809206815620726625909901497128071783207505320915651478147<117>
prime factors 素因数
20643149273551617742132167028623094662489533562322429<53>
38565876375718747222824040108920474496918042000866299069573065343<65>
factorization results 素因数分解の結果
796121142889299953235033108838331851702334321472634928247699809206815620726625909901497128071783207505320915651478147=20643149273551617742132167028623094662489533562322429*38565876375718747222824040108920474496918042000866299069573065343

cado polynomial
n: 796121142889299953235033108838331851702334321472634928247699809206815620726625909901497128071783207505320915651478147
skew: 43870.335
c0: -4568057122926610377862118640
c1: -163322538802566221286648
c2: 12597537767592720587
c3: 338031267013420
c4: -3477780624
c5: 11880
Y0: -43395520016368517782333
Y1: 117785773546821317
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 8.700e-07
# f(x) = 11880*x^5-3477780624*x^4+338031267013420*x^3+12597537767592720587*x^2-163322538802566221286648*x-4568057122926610377862118640
# g(x) = 117785773546821317*x-43395520016368517782333

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

cado log (extracts)
Info:Square Root: Factors: 20643149273551617742132167028623094662489533562322429 38565876375718747222824040108920474496918042000866299069573065343
Info:Square Root: Total cpu/real time for sqrt: 276.01/81.7213
Info:Generate Factor Base: Total cpu/real time for makefb: 4.22/1.1691
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7558773
Info:Lattice Sieving: Average J: 1902.03 for 195865 special-q, max bucket fill -bkmult 1.0,1s:1.280810
Info:Lattice Sieving: Total time: 21478.9s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 452.8
Info:Polynomial Selection (root optimized): Rootsieve time: 451.72
Info:Linear Algebra: Total cpu/real time for bwc: 2883.88/743.68
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1786.21, WCT time 457.26, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14848 iterations)
Info:Linear Algebra: Lingen CPU time 75.79, WCT time 19.28
Info:Linear Algebra: Mksol: CPU time 982.3,  WCT time 251.0, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7424 iterations)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21492.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21644/33.680/41.792/47.350/1.082
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 17172/33.760/36.982/42.290/0.842
Info:Polynomial Selection (size optimized): Total time: 1771.61
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 131.31/137.859
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 106.10000000000002s
Info:Generate Free Relations: Total cpu/real time for freerel: 64.1/16.9652
Info:Quadratic Characters: Total cpu/real time for characters: 16.92/6.67866
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 31.2/29.9177
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 29.099999999999998s
Info:Square Root: Total cpu/real time for sqrt: 276.01/81.7213
Info:Filtering - Singleton removal: Total cpu/real time for purge: 99.79/113.427
Info:Filtering - Merging: Merged matrix has 470760 rows and total weight 73465758 (156.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 78.07/22.7605
Info:Filtering - Merging: Total cpu/real time for replay: 15.84/12.9534
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 45399.3/12419.9
Info:root: Cleaning up computation data in /tmp/cado.2nckjaio
20643149273551617742132167028623094662489533562322429 38565876375718747222824040108920474496918042000866299069573065343
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 JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10189+329

c141

composite cofactor 合成数の残り
106186984538765263535493433767854722428883718454630253417250969808445358674235601456590273501687218233466868031896935818491143786857247638181<141>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosSeptember 16, 2022 10:49:26 UTC 2022 年 9 月 16 日 (金) 19 時 49 分 26 秒 (日本時間)

49×10190+329

c141

composite cofactor 合成数の残り
647529014219338362732423900487291961764812053171149635796825579770098295630785090220360281026493875281746979656614335596186217651182566312123<141>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosSeptember 19, 2022 13:24:22 UTC 2022 年 9 月 19 日 (月) 22 時 24 分 22 秒 (日本時間)

49×10192+329

c123

name 名前Eric Jeancolas
date 日付September 11, 2022 04:46:11 UTC 2022 年 9 月 11 日 (日) 13 時 46 分 11 秒 (日本時間)
composite number 合成数
857407721557925969527132617145947908486870530654995157904314659366157917939437307903910163669257909585468365003013516816801<123>
prime factors 素因数
9317087066208138536237817528243577357894834250835338345011<58>
92025298836975788171770288877446815944841626940221944762846492891<65>
factorization results 素因数分解の結果
857407721557925969527132617145947908486870530654995157904314659366157917939437307903910163669257909585468365003013516816801=9317087066208138536237817528243577357894834250835338345011*92025298836975788171770288877446815944841626940221944762846492891

cado polynomial
n: 857407721557925969527132617145947908486870530654995157904314659366157917939437307903910163669257909585468365003013516816801
skew: 36043.141
c0: 1183800853317834629986298844
c1: -1398210636071339432371411
c2: 21970309201403407638
c3: 2771151666018133
c4: -7038769224
c5: -226800
Y0: -538412148815433210902787
Y1: 47718714263767843
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 3.185e-07
# f(x) = -226800*x^5-7038769224*x^4+2771151666018133*x^3+21970309201403407638*x^2-1398210636071339432371411*x+1183800853317834629986298844
# g(x) = 47718714263767843*x-538412148815433210902787

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

cado log (extracts)
Info:Square Root: Factors: 9317087066208138536237817528243577357894834250835338345011 92025298836975788171770288877446815944841626940221944762846492891
Info:Square Root: Total cpu/real time for sqrt: 233.59/70.0305
Info:Filtering - Singleton removal: Total cpu/real time for purge: 61.33/64.0773
Info:Filtering - Merging: Merged matrix has 666250 rows and total weight 113981702 (171.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 133.01/38.048
Info:Filtering - Merging: Total cpu/real time for replay: 23.96/19.8285
Info:Generate Factor Base: Total cpu/real time for makefb: 8.59/2.37304
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11634422
Info:Lattice Sieving: Average J: 3774.57 for 151550 special-q, max bucket fill -bkmult 1.0,1s:1.242420
Info:Lattice Sieving: Total time: 46422.1s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2509.34
Info:Polynomial Selection (root optimized): Rootsieve time: 2506.82
Info:Linear Algebra: Total cpu/real time for bwc: 6537.32/1682.07
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 4089.95, WCT time 1046.29, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (20992 iterations)
Info:Linear Algebra: Lingen CPU time 113.92, WCT time 28.92
Info:Linear Algebra: Mksol: CPU time 2232.28,  WCT time 570.29, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (10496 iterations)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19925.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20034/35.840/43.780/48.440/0.897
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15832/35.840/39.144/44.530/0.887
Info:Polynomial Selection (size optimized): Total time: 1988.64
Info:Generate Free Relations: Total cpu/real time for freerel: 127.84/32.5635
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 125.5/107.44
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 97.4s
Info:Square Root: Total cpu/real time for sqrt: 233.59/70.0305
Info:Quadratic Characters: Total cpu/real time for characters: 24.17/9.66384
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 50.47/52.3083
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 52.1s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 98098.8/26769.4
Info:root: Cleaning up computation data in /tmp/cado.owkaglxa
9317087066208138536237817528243577357894834250835338345011 92025298836975788171770288877446815944841626940221944762846492891
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 JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10196+329

c100

name 名前Eric Jeancolas
date 日付September 10, 2022 11:57:27 UTC 2022 年 9 月 10 日 (土) 20 時 57 分 27 秒 (日本時間)
composite number 合成数
2947489206820599481440950347536847500134352744013594716814003187872702533895190418313296435506615281<100>
prime factors 素因数
6701031005642421282397253791063489947283<40>
439856076525947454064783361483591298036834174113994632432107<60>
factorization results 素因数分解の結果
2947489206820599481440950347536847500134352744013594716814003187872702533895190418313296435506615281=6701031005642421282397253791063489947283*439856076525947454064783361483591298036834174113994632432107

cado polynomial
n: 2947489206820599481440950347536847500134352744013594716814003187872702533895190418313296435506615281
skew: 132064.153
c0: 72660116829404120201675715
c1: 785410169823408412924
c2: -21354955231523939
c3: -51407571336
c4: 311220
Y0: -410560042279545151469064
Y1: 4222899889501
# MurphyE (Bf=3.355e+07,Bg=1.678e+07,area=2.206e+12) = 2.768e-06
# f(x) = 311220*x^4-51407571336*x^3-21354955231523939*x^2+785410169823408412924*x+72660116829404120201675715
# g(x) = 4222899889501*x-410560042279545151469064

cado parameters (extracts)
tasks.lim0 = 919082
tasks.lim1 = 1051872
tasks.lpb0 = 24
tasks.lpb1 = 25
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 50
tasks.I = 11
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 439856076525947454064783361483591298036834174113994632432107 6701031005642421282397253791063489947283
Info:Square Root: Total cpu/real time for sqrt: 76.44/22.7249
Info:Generate Factor Base: Total cpu/real time for makefb: 0.76/0.22165
Info:Filtering - Singleton removal: Total cpu/real time for purge: 9.92/10.3747
Info:Filtering - Merging: Merged matrix has 185091 rows and total weight 31504633 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 37.67/10.5714
Info:Filtering - Merging: Total cpu/real time for replay: 6.08/5.08338
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 2399552
Info:Lattice Sieving: Average J: 972.831 for 90521 special-q, max bucket fill -bkmult 1.0,1s:1.357530
Info:Lattice Sieving: Total time: 3249.62s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 59.16
Info:Polynomial Selection (root optimized): Rootsieve time: 58.79
Info:Linear Algebra: Total cpu/real time for bwc: 489.52/127.65
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 290.66, WCT time 74.74, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (5888 iterations)
Info:Linear Algebra: Lingen CPU time 24.83, WCT time 6.34
Info:Linear Algebra: Mksol: CPU time 158.19,  WCT time 40.7, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (2944 iterations)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 5781.44
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 5843/32.910/37.962/38.800/0.693
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 3340/33.130/36.444/38.750/1.021
Info:Polynomial Selection (size optimized): Total time: 103.85
Info:Generate Free Relations: Total cpu/real time for freerel: 24.25/6.74306
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 19.18/18.4764
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 13.600000000000001s
Info:Square Root: Total cpu/real time for sqrt: 76.44/22.7249
Info:Quadratic Characters: Total cpu/real time for characters: 6.04/2.39041
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 9.23/8.71067
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 8.6s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 6676.2/1948.41
Info:root: Cleaning up computation data in /tmp/cado.d83bshyi
439856076525947454064783361483591298036834174113994632432107 6701031005642421282397253791063489947283
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 JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10199+329

c152

name 名前Bob Backstrom
date 日付October 26, 2022 16:23:09 UTC 2022 年 10 月 27 日 (木) 1 時 23 分 9 秒 (日本時間)
composite number 合成数
15890761167323851084728379766703469385348500928096410809152391010228391852326699405580568580578254801208455015940447000190284033681667997043908287867867<152>
prime factors 素因数
551594115788407196900503909058795538451879487<45>
85645644364144682635542384636144120800770339787<47>
336371966816362392566529864632268391484202099164607614969743<60>
factorization results 素因数分解の結果
Number: n
N=28808793844022049952578740854782525241626043723049783384173188007904548327757052648159496045008769834064741  ( 107 digits)
Divisors found:

Thu Oct 27 03:19:16 2022  p47 factor: 85645644364144682635542384636144120800770339787
Thu Oct 27 03:19:16 2022  p60 factor: 336371966816362392566529864632268391484202099164607614969743
Thu Oct 27 03:19:16 2022  elapsed time 00:03:17 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.306).
Factorization parameters were as follows:
#
# N = 49x10^199+32 = 54(198)8
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
# Input number is 15890761167323851084728379766703469385348500928096410809152391010228391852326699405580568580578254801208455015940447000190284033681667997043908287867867 (152 digits)
# Using B1=20890000, B2=70273279450, polynomial Dickson(12), sigma=1:2309336795
# Step 1 took 39277ms
# Step 2 took 15224ms
# ********** Factor found in step 2: 551594115788407196900503909058795538451879487
# Found prime factor of 45 digits: 551594115788407196900503909058795538451879487
# Composite cofactor 28808793844022049952578740854782525241626043723049783384173188007904548327757052648159496045008769834064741 has 107 digits
#

Y0: -69149310003806165976454609
Y1: 76070185367413
c0: 177540927246045142777413211590
c1: -127505434898546663170319
c2: -168146674725921315
c3: 8246968669
c4: 1260

n: 28808793844022049952578740854782525241626043723049783384173188007904548327757052648159496045008769834064741

skew: 6362170.94

type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 730248 hash collisions in 7872470 relations (7649278 unique)
Msieve: matrix is 269303 x 269530 (93.1 MB)

Sieving start time : 2022/10/27 03:03:30
Sieving end time  : 2022/10/27 03:15:45

Total sieving time: 0hrs 12min 15secs.

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

Prototype def-par.txt line would be:
gnfs,106,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,150000
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 JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosSeptember 30, 2022 12:10:12 UTC 2022 年 9 月 30 日 (金) 21 時 10 分 12 秒 (日本時間)

49×10202+329

c191

name 名前Dmitry Domanov
date 日付November 6, 2022 11:21:27 UTC 2022 年 11 月 6 日 (日) 20 時 21 分 27 秒 (日本時間)
composite number 合成数
13380860393602894499548023368217449765402169996728195617987329199512020787841551623423881377745561982116662205215125889367026102427743576141012501221149127446800547725857928022921235438109299<191>
prime factors 素因数
2897254944023208559721263415397725161<37>
4618461492733484023066201702842182379301676002197793414766230627030300138400162564158526671745138134622760021413903722378057113477159912045589882302436859<154>
factorization results 素因数分解の結果
Resuming ECM residue saved by @c8300eedf4b0 with GMP-ECM 7.0.5-dev on Sat Nov  5 20:34:03 2022 
Input number is 13380860393602894499548023368217449765402169996728195617987329199512020787841551623423881377745561982116662205215125889367026102427743576141012501221149127446800547725857928022921235438109299 (191 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1410396654
Step 1 took 0ms
Step 2 took 6496ms
********** Factor found in step 2: 2897254944023208559721263415397725161
Found prime factor of 37 digits: 2897254944023208559721263415397725161
Prime cofactor 4618461492733484023066201702842182379301676002197793414766230627030300138400162564158526671745138134622760021413903722378057113477159912045589882302436859 has 154 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:20:16 UTC 2022 年 11 月 3 日 (木) 23 時 20 分 16 秒 (日本時間)

49×10203+329

c134

name 名前Ignacio Santos
date 日付September 26, 2022 14:01:27 UTC 2022 年 9 月 26 日 (月) 23 時 1 分 27 秒 (日本時間)
composite number 合成数
18800239473558674121962154680359097019449514473902173654630213710540616864653401532650077447719328626875755113507579039704621039386343<134>
prime factors 素因数
915437999158248540892981069080898322255628816662367703605641<60>
20536879057724960111232568361678810786962017307216476524408098673010192623<74>
factorization results 素因数分解の結果
09/26/22 11:33:46, nfs: commencing nfs on c134: 18800239473558674121962154680359097019449514473902173654630213710540616864653401532650077447719328626875755113507579039704621039386343
09/26/22 11:33:46, nfs: commencing poly selection with 46 threads
09/26/22 11:33:46, nfs: setting deadline of 2034 seconds
09/26/22 11:33:46, nfs: expecting degree 5 poly E from 4.13e-11 to > 4.75e-11
09/26/22 11:33:46, nfs: searching for avg quality poly E > 4.28e-11
09/26/22 11:40:27, nfs: completed 57 ranges of size 250 in 401.0373 seconds
09/26/22 11:40:27, nfs: best poly = # norm 9.976951e-13 alpha -6.860702 e 5.598e-11 rroots 5
09/26/22 11:40:27, nfs: commencing lattice sieving with 46 threads
09/26/22 11:46:56, nfs: commencing lattice sieving with 46 threads
09/26/22 11:53:40, nfs: commencing lattice sieving with 46 threads
09/26/22 11:59:51, nfs: commencing lattice sieving with 46 threads
09/26/22 12:06:02, nfs: commencing lattice sieving with 46 threads
09/26/22 12:12:26, nfs: commencing lattice sieving with 46 threads
09/26/22 12:18:10, nfs: commencing lattice sieving with 46 threads
09/26/22 12:24:11, nfs: commencing lattice sieving with 46 threads
09/26/22 12:31:00, nfs: commencing lattice sieving with 46 threads
09/26/22 12:37:17, nfs: commencing lattice sieving with 46 threads
09/26/22 12:43:32, nfs: commencing lattice sieving with 46 threads
09/26/22 12:49:26, nfs: commencing lattice sieving with 46 threads
09/26/22 12:55:22, nfs: commencing lattice sieving with 46 threads
09/26/22 13:01:26, nfs: commencing lattice sieving with 46 threads
09/26/22 13:08:01, nfs: commencing lattice sieving with 46 threads
09/26/22 13:13:54, nfs: commencing lattice sieving with 46 threads
09/26/22 13:19:33, nfs: commencing lattice sieving with 46 threads
09/26/22 13:26:10, nfs: commencing lattice sieving with 46 threads
09/26/22 13:32:21, nfs: commencing lattice sieving with 46 threads
09/26/22 13:38:39, nfs: commencing lattice sieving with 46 threads
09/26/22 13:44:49, nfs: commencing lattice sieving with 46 threads
09/26/22 13:50:45, nfs: commencing lattice sieving with 46 threads
09/26/22 13:56:56, nfs: commencing lattice sieving with 46 threads
09/26/22 14:02:58, nfs: commencing lattice sieving with 46 threads
09/26/22 14:08:55, nfs: commencing lattice sieving with 46 threads
09/26/22 14:14:57, nfs: commencing lattice sieving with 46 threads
09/26/22 14:21:18, nfs: commencing lattice sieving with 46 threads
09/26/22 14:27:26, nfs: commencing lattice sieving with 46 threads
09/26/22 14:33:19, nfs: commencing lattice sieving with 46 threads
09/26/22 14:39:20, nfs: commencing lattice sieving with 46 threads
09/26/22 14:45:39, nfs: commencing lattice sieving with 46 threads
09/26/22 14:51:55, nfs: commencing lattice sieving with 46 threads
09/26/22 14:58:13, nfs: commencing lattice sieving with 46 threads
09/26/22 15:04:07, nfs: commencing lattice sieving with 46 threads
09/26/22 15:10:18, nfs: commencing lattice sieving with 46 threads
09/26/22 15:16:41, nfs: commencing lattice sieving with 46 threads
09/26/22 15:23:10, nfs: commencing lattice sieving with 46 threads
09/26/22 15:29:24, nfs: commencing msieve filtering
09/26/22 15:34:57, nfs: commencing msieve linear algebra
09/26/22 15:55:10, nfs: commencing msieve sqrt
09/26/22 16:00:24, prp60 = 915437999158248540892981069080898322255628816662367703605641
09/26/22 16:00:24, prp74 = 20536879057724960111232568361678810786962017307216476524408098673010192623
09/26/22 16:00:24, NFS elapsed time = 15997.7467 seconds.
09/26/22 16:00:24, 
09/26/22 16:00:24, 
software ソフトウェア
GNFS, Msieve, Yafu

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosSeptember 11, 2022 13:53:39 UTC 2022 年 9 月 11 日 (日) 22 時 53 分 39 秒 (日本時間)
4511e64480Ignacio SantosSeptember 21, 2022 13:42:39 UTC 2022 年 9 月 21 日 (水) 22 時 42 分 39 秒 (日本時間)

49×10205+329

c171

name 名前Dmitry Domanov
date 日付November 5, 2022 23:53:44 UTC 2022 年 11 月 6 日 (日) 8 時 53 分 44 秒 (日本時間)
composite number 合成数
170495422617015623888620906396752171151320738712394274934899482896850370459300179820760267513718097191786746606137199490180305370207039748945829783026974249713051764400469<171>
prime factors 素因数
780020663484617948419822012025838529<36>
composite cofactor 合成数の残り
218578084656571156670524273598403914848755316773074313490570698831139529006748814668268513867696342695833662844992658716211924966963861<135>
factorization results 素因数分解の結果
GPU: factor 780020663484617948419822012025838529 found in Step 1 with curve 65 (-sigma 3:-2038104051)
GPU: factor 780020663484617948419822012025838529 found in Step 1 with curve 1530 (-sigma 3:-2038102586)
Computing 1792 Step 1 took 188ms of CPU time / 178326ms of GPU time
Throughput: 10.049 curves per second (on average 99.51ms per Step 1)
********** Factor found in step 1: 780020663484617948419822012025838529
Found prime factor of 36 digits: 780020663484617948419822012025838529
Composite cofactor 218578084656571156670524273598403914848755316773074313490570698831139529006748814668268513867696342695833662844992658716211924966963861 has 135 digits
Peak memory usage: 9428MB

c135

name 名前Eric Jeancolas
date 日付November 8, 2022 16:07:26 UTC 2022 年 11 月 9 日 (水) 1 時 7 分 26 秒 (日本時間)
composite number 合成数
218578084656571156670524273598403914848755316773074313490570698831139529006748814668268513867696342695833662844992658716211924966963861<135>
prime factors 素因数
1596317773880492508931542533869041636067<40>
2384490882034754140444317242094245030102177449<46>
57423756671393735351073789921056788326655003353167<50>
factorization results 素因数分解の結果
218578084656571156670524273598403914848755316773074313490570698831139529006748814668268513867696342695833662844992658716211924966963861=1596317773880492508931542533869041636067*2384490882034754140444317242094245030102177449*57423756671393735351073789921056788326655003353167

cado polynomial
n: 218578084656571156670524273598403914848755316773074313490570698831139529006748814668268513867696342695833662844992658716211924966963861
skew: 324174.036
c0: -56783304043851869773998564531000
c1: -1361695175242321142799081877
c2: -2185424779774271272788
c3: -11897763424117499
c4: 65449912716
c5: 32400
Y0: -151320996195806070251931356
Y1: 1526807282202408361
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.245e-07
# f(x) = 32400*x^5+65449912716*x^4-11897763424117499*x^3-2185424779774271272788*x^2-1361695175242321142799081877*x-56783304043851869773998564531000
# g(x) = 1526807282202408361*x-151320996195806070251931356

cado parameters (extracts)
tasks.lim0 = 3341873
tasks.lim1 = 16407032
tasks.lpb0 = 27
tasks.lpb1 = 28
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 62
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1596317773880492508931542533869041636067 2384490882034754140444317242094245030102177449 57423756671393735351073789921056788326655003353167
Info:Square Root: Total cpu/real time for sqrt: 911.74/265.965
Info:Generate Factor Base: Total cpu/real time for makefb: 14.61/4.05073
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 193.64/159.881
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 149.0s
Info:Generate Free Relations: Total cpu/real time for freerel: 250.69/63.2913
Info:Square Root: Total cpu/real time for sqrt: 911.74/265.965
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 78.01/84.3381
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 84.2s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 86.64/95.8573
Info:Filtering - Merging: Merged matrix has 1345994 rows and total weight 230325778 (171.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 362.62/100.215
Info:Filtering - Merging: Total cpu/real time for replay: 49.86/42.0454
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17034070
Info:Lattice Sieving: Average J: 3786.03 for 644826 special-q, max bucket fill -bkmult 1.0,1s:1.201680
Info:Lattice Sieving: Total time: 215160s
Info:Linear Algebra: Total cpu/real time for bwc: 28480.3/7317.42
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 18136.12, WCT time 4635.94, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (42240 iterations)
Info:Linear Algebra: Lingen CPU time 259.69, WCT time 65.89
Info:Linear Algebra: Mksol: CPU time 9852.05,  WCT time 2514.2, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (21248 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 7123.71
Info:Polynomial Selection (root optimized): Rootsieve time: 7121.17
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 53395.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 53980/40.540/48.289/53.140/0.960
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 43908/39.190/43.114/48.900/1.073
Info:Polynomial Selection (size optimized): Total time: 11382.1
Info:Quadratic Characters: Total cpu/real time for characters: 46.17/21.1186
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 451773/121257
Info:root: Cleaning up computation data in /tmp/cado.336kkymr
1596317773880492508931542533869041636067 2384490882034754140444317242094245030102177449 57423756671393735351073789921056788326655003353167
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 JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovNovember 3, 2022 14:20:20 UTC 2022 年 11 月 3 日 (木) 23 時 20 分 20 秒 (日本時間)
2350Ignacio SantosNovember 6, 2022 15:56:48 UTC 2022 年 11 月 7 日 (月) 0 時 56 分 48 秒 (日本時間)

49×10206+329

c186

composite cofactor 合成数の残り
141895700811572753839971949845055776591513690870145627465091948410530641239218842641089778926677668815213414554478566717656230930848881184171397035094941886401095442382113281355638643009<186>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:20:34 UTC 2022 年 11 月 3 日 (木) 23 時 20 分 34 秒 (日本時間)

49×10207+329

c190

composite cofactor 合成数の残り
3413849581049454954449195664767100976629033602249512730222091413364264715233752855804970604151912665326622251211882109083747672710114970536702352878145973823878930213004015777007891376824909<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:20:38 UTC 2022 年 11 月 3 日 (木) 23 時 20 分 38 秒 (日本時間)

49×10208+329

c208

name 名前Dmitry Domanov
date 日付September 24, 2022 11:25:58 UTC 2022 年 9 月 24 日 (土) 20 時 25 分 58 秒 (日本時間)
composite number 合成数
1701388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<208>
prime factors 素因数
837725978091304383787426454028823403<36>
2030961117817278952199760261160395684255657001010117399929649535994591390692764962981872718292309574802455791767266232402562476896577323266932845498137958217986898179971563<172>
factorization results 素因数分解の結果
Resuming ECM residue saved by @cb45655e3d34 with GMP-ECM 7.0.5-dev on Thu Sep 22 23:52:45 2022 
Input number is 1701388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889 (208 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:824459306
Step 1 took 0ms
Step 2 took 6960ms
********** Factor found in step 2: 837725978091304383787426454028823403
Found prime factor of 36 digits: 837725978091304383787426454028823403
Prime cofactor 2030961117817278952199760261160395684255657001010117399929649535994591390692764962981872718292309574802455791767266232402562476896577323266932845498137958217986898179971563 has 172 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 22, 2022 23:14:50 UTC 2022 年 9 月 23 日 (金) 8 時 14 分 50 秒 (日本時間)

49×10209+329

c185

composite cofactor 合成数の残り
22498008733227004984685217585438321566513127833358372279719631067558485871251926535114288358253074164433364655895365774730550559082540260276960004589826932981914804059142858851661765949<185>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:20:42 UTC 2022 年 11 月 3 日 (木) 23 時 20 分 42 秒 (日本時間)

49×10211+329

c207

composite cofactor 合成数の残り
515416203843953010872126291696119021172035410145073883335016325019354404389242317142953313810629775488909084789121141741559796694604328654616446194755797906358342589787606449224140832744286243225958463765189<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 22, 2022 23:15:00 UTC 2022 年 9 月 23 日 (金) 8 時 15 分 0 秒 (日本時間)

49×10214+329

c187

composite cofactor 合成数の残り
6218480950914129821153741687299606807280979030885963738529307814073655459433219655046908199721442162725354812509889913394784606948134312179401968093760294784993562318636224772768719564331<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:20:50 UTC 2022 年 11 月 3 日 (木) 23 時 20 分 50 秒 (日本時間)

49×10215+329

c215

name 名前Dmitry Domanov
date 日付September 24, 2022 11:25:40 UTC 2022 年 9 月 24 日 (土) 20 時 25 分 40 秒 (日本時間)
composite number 合成数
17013888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<215>
prime factors 素因数
2301922450916530925234412726389178809<37>
14668375545909666781656726430310146441<38>
100940329773768323410987712561977268263<39>
4991903300672892938344227607343699721176054442401077747394251479833336039574975974664014464359799056287<103>
factorization results 素因数分解の結果
esuming ECM residue saved by @cb45655e3d34 with GMP-ECM 7.0.5-dev on Thu Sep 22 23:58:36 2022 
Input number is 17013888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889 (215 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3153640100
Step 1 took 0ms
Step 2 took 7296ms
********** Factor found in step 2: 2301922450916530925234412726389178809
Found prime factor of 37 digits: 2301922450916530925234412726389178809
Composite cofactor 7391165102940221769213286941127806305810229470838835569048111110364964034960962349576053923008184781630193091558428465348379316137025344345508400621307039269985163538857506517121 has 178 digits
---
Resuming ECM residue saved by @cb45655e3d34 with GMP-ECM 7.0.5-dev on Thu Sep 22 23:58:36 2022 
Input number is 7391165102940221769213286941127806305810229470838835569048111110364964034960962349576053923008184781630193091558428465348379316137025344345508400621307039269985163538857506517121 (178 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3153640108
Step 1 took 0ms
Step 2 took 6160ms
********** Factor found in step 2: 100940329773768323410987712561977268263
Found prime factor of 39 digits: 100940329773768323410987712561977268263
Composite cofactor 73223112303136013431076361515759759017116696266177163216612803753509372957164809327127414256156207287694009554604356428793443586192571724567 has 140 digits
---
Resuming ECM residue saved by @cb45655e3d34 with GMP-ECM 7.0.5-dev on Thu Sep 22 23:58:36 2022 
Input number is 73223112303136013431076361515759759017116696266177163216612803753509372957164809327127414256156207287694009554604356428793443586192571724567 (140 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3153641250
Step 1 took 0ms
Step 2 took 4662ms
********** Factor found in step 2: 14668375545909666781656726430310146441
Found prime factor of 38 digits: 14668375545909666781656726430310146441
Prime cofactor 4991903300672892938344227607343699721176054442401077747394251479833336039574975974664014464359799056287 has 103 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 22, 2022 23:15:07 UTC 2022 年 9 月 23 日 (金) 8 時 15 分 7 秒 (日本時間)

49×10216+329

c188

composite cofactor 合成数の残り
80072899307927089074919973406097828637209047974872200986928408513397929354958622511380364161849999779872081119793968395496207229865431484426132443449108231733050931620426776799570202721579<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:20:54 UTC 2022 年 11 月 3 日 (木) 23 時 20 分 54 秒 (日本時間)

49×10217+329

c194

composite cofactor 合成数の残り
67759649870546572155493083542597572792094511907557356555180827418895456852929596944981389890171882761094878100922877137393527858321136080408037387368438497502839464412664267744717453888538805547<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:20:58 UTC 2022 年 11 月 3 日 (木) 23 時 20 分 58 秒 (日本時間)

49×10218+329

c109

name 名前Eric Jeancolas
date 日付September 10, 2022 13:59:44 UTC 2022 年 9 月 10 日 (土) 22 時 59 分 44 秒 (日本時間)
composite number 合成数
1014249023536014631604262898726777150364098647479538581025305079665567207251475256382461503329557142341930403<109>
prime factors 素因数
2317964612728790866661883952500085205262885647590123<52>
437560184468046902844201481157882497212219441409218552361<57>
factorization results 素因数分解の結果
1014249023536014631604262898726777150364098647479538581025305079665567207251475256382461503329557142341930403=2317964612728790866661883952500085205262885647590123*437560184468046902844201481157882497212219441409218552361

cado polynomial
n: 1014249023536014631604262898726777150364098647479538581025305079665567207251475256382461503329557142341930403
skew: 7635.565
c0: 1892079025847923329466256
c1: 588747241035958418910
c2: -195472909030009655
c3: 12216926937795
c4: 1761345954
c5: 80640
Y0: -472948307955179235435
Y1: 1340175657732241
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.874e-06
# f(x) = 80640*x^5+1761345954*x^4+12216926937795*x^3-195472909030009655*x^2+588747241035958418910*x+1892079025847923329466256
# g(x) = 1340175657732241*x-472948307955179235435

cado parameters (extracts)
tasks.lim0 = 1400000
tasks.lim1 = 2500000
tasks.lpb0 = 25
tasks.lpb1 = 26
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 2317964612728790866661883952500085205262885647590123 437560184468046902844201481157882497212219441409218552361
Info:Square Root: Total cpu/real time for sqrt: 90.33/26.61
Info:Filtering - Singleton removal: Total cpu/real time for purge: 54.62/60.1842
Info:Filtering - Merging: Merged matrix has 290845 rows and total weight 45120559 (155.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 44.37/13.13
Info:Filtering - Merging: Total cpu/real time for replay: 9.67/7.94011
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4984071
Info:Lattice Sieving: Average J: 1889.74 for 70720 special-q, max bucket fill -bkmult 1.0,1s:1.293530
Info:Lattice Sieving: Total time: 6954.24s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 224.79
Info:Polynomial Selection (root optimized): Rootsieve time: 223.8
Info:Linear Algebra: Total cpu/real time for bwc: 1087.56/283
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 660.67, WCT time 170.45, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9216 iterations)
Info:Linear Algebra: Lingen CPU time 45.47, WCT time 11.56
Info:Linear Algebra: Mksol: CPU time 357.93,  WCT time 91.58, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4608 iterations)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11711.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11556/30.470/38.266/43.840/1.047
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 8907/30.620/33.919/38.800/0.858
Info:Polynomial Selection (size optimized): Total time: 719.73
Info:Generate Factor Base: Total cpu/real time for makefb: 2.37/0.653363
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 76.16/81.5628
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 59.900000000000006s
Info:Generate Free Relations: Total cpu/real time for freerel: 62.73/16.0358
Info:Square Root: Total cpu/real time for sqrt: 90.33/26.61
Info:Quadratic Characters: Total cpu/real time for characters: 11.03/4.29148
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 19.97/19.5742
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 18.899999999999995s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 14917.3/4210.92
Info:root: Cleaning up computation data in /tmp/cado.kb06lsda
2317964612728790866661883952500085205262885647590123 437560184468046902844201481157882497212219441409218552361
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 JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10222+329

c159

composite cofactor 合成数の残り
107564894477106648025857278579134117457746759105230576634631806717275877399864847788790145220284609924703788332551791799830383063370967214144833922282295979249<159>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:21:03 UTC 2022 年 11 月 3 日 (木) 23 時 21 分 3 秒 (日本時間)

49×10225+329

c134

name 名前Norman Powell
date 日付September 23, 2022 15:46:35 UTC 2022 年 9 月 24 日 (土) 0 時 46 分 35 秒 (日本時間)
composite number 合成数
61072705117378666476516043650832704855598211207192994139531340463949292568937306527138784685314724301750821234104532740761661989731447<134>
prime factors 素因数
60252287963067092119741842780284828593406104146711251561<56>
1013616365154705267237268858851363028413414478456926011716457127578065175311327<79>
factorization results 素因数分解の結果
n: 610727......731447
skew: 63167.968
c0: -518847618416163036088560562461
c1: -62813463385994746495958917
c2: 877165412118020307288
c3: 7216325667979063
c4: 42443086059
c5: 1184040
Y0: -70175640040690602834990380
Y1: 282962739928000369
# MurphyE (Bf=1.074e+09,Bg=1.074e+09,area=4.698e+13) = 2.173e-06
# f(x) = 1184040*x^5+42443086059*x^4+7216325667979063*
    x^3+877165412118020307288*x^2-62813463385994746495958917*
        x-518847618416163036088560562461
# g(x) = 282962739928000369*x-70175640040690602834990380
Factors: 
     1013616365154705267237268858851363028413414478456926011716457127578065175311327 
        60252287963067092119741842780284828593406104146711251561
Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 390061/58397.4, (16.22 hours).
software ソフトウェア
CADO-NFS v3.0.0
execution environment 実行環境
Ubuntu 20.04.4, Intel Xeon E5-1620 3.6 GHz.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosSeptember 11, 2022 13:53:50 UTC 2022 年 9 月 11 日 (日) 22 時 53 分 50 秒 (日本時間)
4511e64480Ignacio SantosSeptember 21, 2022 13:02:21 UTC 2022 年 9 月 21 日 (水) 22 時 2 分 21 秒 (日本時間)

49×10226+329

c175

name 名前Dmitry Domanov
date 日付November 6, 2022 16:02:24 UTC 2022 年 11 月 7 日 (月) 1 時 2 分 24 秒 (日本時間)
composite number 合成数
1616855132562795440715147426786247170967113130777213022812728236074515088939222713656997880122897968788869999363608365081970700322269719597083363393188344780787513463971335419<175>
prime factors 素因数
10036361434218188446345439482759957311041<41>
composite cofactor 合成数の残り
161099731527230024684118375193655208332443833830521481660312122543724245580395974186485868229967909872293408263702511484578875025024059<135>
factorization results 素因数分解の結果
Resuming ECM residue saved by @c8300eedf4b0 with GMP-ECM 7.0.5-dev on Sat Nov  5 18:35:17 2022 
Input number is 1616855132562795440715147426786247170967113130777213022812728236074515088939222713656997880122897968788869999363608365081970700322269719597083363393188344780787513463971335419 (175 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1511787764
Step 1 took 0ms
Step 2 took 6234ms
********** Factor found in step 2: 10036361434218188446345439482759957311041
Found prime factor of 41 digits: 10036361434218188446345439482759957311041
Composite cofactor 161099731527230024684118375193655208332443833830521481660312122543724245580395974186485868229967909872293408263702511484578875025024059 has 135 digits

c135

name 名前Ignacio Santos
date 日付November 20, 2022 15:05:20 UTC 2022 年 11 月 21 日 (月) 0 時 5 分 20 秒 (日本時間)
composite number 合成数
161099731527230024684118375193655208332443833830521481660312122543724245580395974186485868229967909872293408263702511484578875025024059<135>
prime factors 素因数
512974687697977199853510629718479488174427977<45>
314050060150492850900556798917421888252828348508383418347776326558252878688196969206784867<90>
factorization results 素因数分解の結果
11/20/22 11:21:56, nfs: commencing nfs on c135: 161099731527230024684118375193655208332443833830521481660312122543724245580395974186485868229967909872293408263702511484578875025024059
11/20/22 11:21:56, nfs: commencing poly selection with 46 threads
11/20/22 11:21:56, nfs: setting deadline of 2269 seconds
11/20/22 11:21:56, nfs: expecting degree 5 poly E from 3.59e-11 to > 4.13e-11
11/20/22 11:21:56, nfs: searching for avg quality poly E > 3.72e-11
11/20/22 11:28:37, nfs: completed 63 ranges of size 250 in 401.2121 seconds
11/20/22 11:28:37, nfs: best poly = # norm 6.600357e-13 alpha -8.033949 e 4.355e-11 rroots 1
11/20/22 11:28:37, nfs: commencing lattice sieving with 46 threads
11/20/22 11:34:50, nfs: commencing lattice sieving with 46 threads
11/20/22 11:41:13, nfs: commencing lattice sieving with 46 threads
11/20/22 11:47:04, nfs: commencing lattice sieving with 46 threads
11/20/22 11:53:01, nfs: commencing lattice sieving with 46 threads
11/20/22 11:59:03, nfs: commencing lattice sieving with 46 threads
11/20/22 12:04:58, nfs: commencing lattice sieving with 46 threads
11/20/22 12:10:59, nfs: commencing lattice sieving with 46 threads
11/20/22 12:16:47, nfs: commencing lattice sieving with 46 threads
11/20/22 12:22:45, nfs: commencing lattice sieving with 46 threads
11/20/22 12:29:05, nfs: commencing lattice sieving with 46 threads
11/20/22 12:35:22, nfs: commencing lattice sieving with 46 threads
11/20/22 12:41:33, nfs: commencing lattice sieving with 46 threads
11/20/22 12:47:54, nfs: commencing lattice sieving with 46 threads
11/20/22 12:53:57, nfs: commencing lattice sieving with 46 threads
11/20/22 12:59:38, nfs: commencing lattice sieving with 46 threads
11/20/22 13:05:37, nfs: commencing lattice sieving with 46 threads
11/20/22 13:11:25, nfs: commencing lattice sieving with 46 threads
11/20/22 13:17:27, nfs: commencing lattice sieving with 46 threads
11/20/22 13:23:22, nfs: commencing lattice sieving with 46 threads
11/20/22 13:29:35, nfs: commencing lattice sieving with 46 threads
11/20/22 13:35:47, nfs: commencing lattice sieving with 46 threads
11/20/22 13:41:56, nfs: commencing lattice sieving with 46 threads
11/20/22 13:47:52, nfs: commencing lattice sieving with 46 threads
11/20/22 13:54:05, nfs: commencing lattice sieving with 46 threads
11/20/22 13:59:57, nfs: commencing lattice sieving with 46 threads
11/20/22 14:06:05, nfs: commencing lattice sieving with 46 threads
11/20/22 14:12:25, nfs: commencing lattice sieving with 46 threads
11/20/22 14:18:35, nfs: commencing lattice sieving with 46 threads
11/20/22 14:24:45, nfs: commencing lattice sieving with 46 threads
11/20/22 14:30:45, nfs: commencing lattice sieving with 46 threads
11/20/22 14:36:51, nfs: commencing lattice sieving with 46 threads
11/20/22 14:42:55, nfs: commencing lattice sieving with 46 threads
11/20/22 14:49:14, nfs: commencing lattice sieving with 46 threads
11/20/22 14:55:13, nfs: commencing lattice sieving with 46 threads
11/20/22 15:01:07, nfs: commencing lattice sieving with 46 threads
11/20/22 15:07:28, nfs: commencing lattice sieving with 46 threads
11/20/22 15:13:12, nfs: commencing lattice sieving with 46 threads
11/20/22 15:19:21, nfs: commencing lattice sieving with 46 threads
11/20/22 15:25:30, nfs: commencing lattice sieving with 46 threads
11/20/22 15:31:19, nfs: commencing msieve filtering
11/20/22 15:36:59, nfs: commencing msieve linear algebra
11/20/22 15:59:21, nfs: commencing msieve sqrt
11/20/22 16:04:54, prp45 = 512974687697977199853510629718479488174427977
11/20/22 16:04:54, prp90 = 314050060150492850900556798917421888252828348508383418347776326558252878688196969206784867
11/20/22 16:04:54, NFS elapsed time = 16978.3609 seconds.
11/20/22 16:04:54, 
11/20/22 16:04:54, 
software ソフトウェア
Yafu

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovNovember 3, 2022 14:21:07 UTC 2022 年 11 月 3 日 (木) 23 時 21 分 7 秒 (日本時間)
2350Ignacio SantosNovember 8, 2022 10:24:40 UTC 2022 年 11 月 8 日 (火) 19 時 24 分 40 秒 (日本時間)
4511e64480Ignacio SantosNovember 11, 2022 14:27:34 UTC 2022 年 11 月 11 日 (金) 23 時 27 分 34 秒 (日本時間)

49×10229+329

c222

composite cofactor 合成数の残り
345571729328045843269155275099131411523470430693747574368559487998217673606830253158006543215919738621617789339789752918639585036790384392439312582961193485255805565558799246961682577861062539241432986267605737106811871563<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:21:11 UTC 2022 年 11 月 3 日 (木) 23 時 21 分 11 秒 (日本時間)

49×10230+329

c203

composite cofactor 合成数の残り
64766517407811761361825625735717680343140822558443046975508616549504169012125634665421929850815180528701581602035864677386582663822426653701958453352891371823765669328557280746382478406127439364592113713<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 22, 2022 23:15:13 UTC 2022 年 9 月 23 日 (金) 8 時 15 分 13 秒 (日本時間)

49×10231+329

c179

composite cofactor 合成数の残り
37107820502016448650907095174604666066456221541560853979902099226181737636709400375826811745383098756584192789448067314409331579249939510359990532390963402900566239588389542816647<179>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:21:18 UTC 2022 年 11 月 3 日 (木) 23 時 21 分 18 秒 (日本時間)

49×10233+329

c233

composite cofactor 合成数の残り
17013888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:21:24 UTC 2022 年 11 月 3 日 (木) 23 時 21 分 24 秒 (日本時間)

49×10234+329

c201

composite cofactor 合成数の残り
105635888098866953537472887087314870662224403294673611790847162877295471372112043510301577439833373432803696514999825684906028546858677581000489684924358764226137433722473495973706873962049175823089657<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 22, 2022 23:15:20 UTC 2022 年 9 月 23 日 (金) 8 時 15 分 20 秒 (日本時間)

49×10235+329

c191

composite cofactor 合成数の残り
34010820959240449223242053671455008967216702481800794530481284549368943612455164791599484901740096664959918779014575335981568791621706598500191085840088647901004404157050011892166370909198981<191>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:21:34 UTC 2022 年 11 月 3 日 (木) 23 時 21 分 34 秒 (日本時間)

49×10237+329

c184

composite cofactor 合成数の残り
7299273493042888759469330315576835399415430601279128330274275138626074296115984074629257099377120183660927649360255687063925241997936585969932287587501936189170403622867067268421905221<184>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:22:11 UTC 2022 年 11 月 3 日 (木) 23 時 22 分 11 秒 (日本時間)

49×10238+329

c238

composite cofactor 合成数の残り
1701388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:22:14 UTC 2022 年 11 月 3 日 (木) 23 時 22 分 14 秒 (日本時間)

49×10239+329

c206

composite cofactor 合成数の残り
34596922479698857022937374977961102126382811228476950462292187911884611375931477204915308035200806690880285266158597469341439609862619755216632430641171574884854606052409594906794403799907936169847344089009<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 22, 2022 23:15:26 UTC 2022 年 9 月 23 日 (金) 8 時 15 分 26 秒 (日本時間)

49×10240+329

c237

composite cofactor 合成数の残り
961236660389202762084118016321406151914626490897677338355304456999372253609541745134965473948524795982423101067168863779033270558694287507846829880728185812931575643440050219711236660389202762084118016321406151914626490897677338355304457<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:22:23 UTC 2022 年 11 月 3 日 (木) 23 時 22 分 23 秒 (日本時間)

49×10241+329

c237

composite cofactor 合成数の残り
736850969635724941051922429142004715846205668639622732303546508830181415716279293585486742697656513161060584187478947115153265001684230787738799865261536980896010779077041528319137673836677734468986093065781242481112554737500601510995621<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:22:28 UTC 2022 年 11 月 3 日 (木) 23 時 22 分 28 秒 (日本時間)

49×10242+329

c194

composite cofactor 合成数の残り
71669769793774410965508265442631391924286244307116686990199052488585495035080806987412620637796629502211492464598155465095102887081901057696149196176604286518013934607862686177580421651465108553<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:22:31 UTC 2022 年 11 月 3 日 (木) 23 時 22 分 31 秒 (日本時間)

49×10244+329

c231

name 名前Dmitry Domanov
date 日付November 6, 2022 16:02:03 UTC 2022 年 11 月 7 日 (月) 1 時 2 分 3 秒 (日本時間)
composite number 合成数
295255271434657478332670312026334249722699932682977103591664945121970988701277208517412544726864190413436187329879841709635183550373084549156304454170345547783310053456232500741294034343501836195266339848772050883516544414385554259<231>
prime factors 素因数
2105087187142396423552437388276555003<37>
composite cofactor 合成数の残り
140257977549832117217136509739022204383948887317503935791456903676069951304519611451689917557952180767152786001616810093339634324057376497769938918474003938628751752291848467554126975976764879753<195>
factorization results 素因数分解の結果
Resuming ECM residue saved by @c8300eedf4b0 with GMP-ECM 7.0.5-dev on Sat Nov  5 20:16:17 2022 
Input number is 295255271434657478332670312026334249722699932682977103591664945121970988701277208517412544726864190413436187329879841709635183550373084549156304454170345547783310053456232500741294034343501836195266339848772050883516544414385554259 (231 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4240652211
Step 1 took 0ms
Step 2 took 8312ms
********** Factor found in step 2: 2105087187142396423552437388276555003
Found prime factor of 37 digits: 2105087187142396423552437388276555003
Composite cofactor 140257977549832117217136509739022204383948887317503935791456903676069951304519611451689917557952180767152786001616810093339634324057376497769938918474003938628751752291848467554126975976764879753 has 195 digits

c195

name 名前Dmitry Domanov
date 日付November 7, 2022 15:03:25 UTC 2022 年 11 月 8 日 (火) 0 時 3 分 25 秒 (日本時間)
composite number 合成数
140257977549832117217136509739022204383948887317503935791456903676069951304519611451689917557952180767152786001616810093339634324057376497769938918474003938628751752291848467554126975976764879753<195>
prime factors 素因数
762195533402782099074357358949286277489<39>
184018367207765848983211886917891039910001101397476745158868235730809979817191740668996591001334065279479973211612937779619986024786188224311566286954157977<156>
factorization results 素因数分解の結果
Resuming ECM residue saved by @c8300eedf4b0 with GMP-ECM 7.0.5-dev on Sat Nov  5 20:16:17 2022 
Input number is 140257977549832117217136509739022204383948887317503935791456903676069951304519611451689917557952180767152786001616810093339634324057376497769938918474003938628751752291848467554126975976764879753 (195 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4240653201
Step 1 took 0ms
Step 2 took 6908ms
********** Factor found in step 2: 762195533402782099074357358949286277489
Found prime factor of 39 digits: 762195533402782099074357358949286277489
Prime cofactor 184018367207765848983211886917891039910001101397476745158868235730809979817191740668996591001334065279479973211612937779619986024786188224311566286954157977 has 156 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:22:36 UTC 2022 年 11 月 3 日 (木) 23 時 22 分 36 秒 (日本時間)

49×10245+329

c239

composite cofactor 合成数の残り
81141776741282657412397350684558395319026945163791134575325799137207896227549891925777199120992788516312345366956895898478588374191695427286634882935930718037823593405644235237760640634530018880532279457313199044686399286959185090155468969<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:22:42 UTC 2022 年 11 月 3 日 (木) 23 時 22 分 42 秒 (日本時間)

49×10247+329

c205

composite cofactor 合成数の残り
3671876954870193362108724962984691717729695818951491735196611899100595966086470963050550422039560865525705354454291798606374608527397619590161882240829831272354141804891556820328923903297300051257727996463<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 22, 2022 23:15:34 UTC 2022 年 9 月 23 日 (金) 8 時 15 分 34 秒 (日本時間)

49×10248+329

c214

composite cofactor 合成数の残り
1986958924110906280559653407947449983130096580551788163756448097793562162249931640454715389381871430834977961206380334473996322137939785071460117857863250988679197351173051123584131094812462742912468497837327720483<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 22, 2022 23:15:40 UTC 2022 年 9 月 23 日 (金) 8 時 15 分 40 秒 (日本時間)

49×10249+329

c233

composite cofactor 合成数の残り
63511200049760694003423418702182044667159229914899425025866841569853266135379830761299920380688632894822480919635898926225890886144637818125609898611157944148820956636802261448614450400218266585025980419003289150107350928130718835641<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:23:37 UTC 2022 年 11 月 3 日 (木) 23 時 23 分 37 秒 (日本時間)

49×10250+329

c239

composite cofactor 合成数の残り
22761537405520888471109624362360315876620344338675143778770165239395286201597449063506119624320155943826521587204422200911855199760721216102139048053029956238762322148079687509411735457378705654099288187705276037248279036719787403039755659<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:23:42 UTC 2022 年 11 月 3 日 (木) 23 時 23 分 42 秒 (日本時間)

49×10251+329

c169

composite cofactor 合成数の残り
3047132133096008962890362541885179800997603176411919916543709487623521572637571735310656948517855000148085510736215934195576421795540569113127699036045186615274565346881<169>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosSeptember 12, 2022 14:30:08 UTC 2022 年 9 月 12 日 (月) 23 時 30 分 8 秒 (日本時間)
4511e64480Ignacio SantosSeptember 16, 2022 13:02:30 UTC 2022 年 9 月 16 日 (金) 22 時 2 分 30 秒 (日本時間)

49×10252+329

c231

composite cofactor 合成数の残り
109179518318109499699415467908670109330844132913298587440541155137156737544445653662103654238820187847343142353643627895165920070523786497693748060069801326147803042281471540872622059283100831290916315138630706175900776167042105513<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:23:50 UTC 2022 年 11 月 3 日 (木) 23 時 23 分 50 秒 (日本時間)

49×10253+329

c199

name 名前Dmitry Domanov
date 日付November 6, 2022 12:53:49 UTC 2022 年 11 月 6 日 (日) 21 時 53 分 49 秒 (日本時間)
composite number 合成数
2813432226369793586498713065099602101476543544427328171516222188878355228973363340481311387604413324113743699803167604595530194850004807140826371672856858259946277677015722067909568464374069563054341<199>
prime factors 素因数
2351823072684046775837305073346094871621<40>
1196277160066692317978622358211626164406018697093994356755332043082479534163507497892899305671415840128101300579662080900387487392000408676041426167070911184321<160>
factorization results 素因数分解の結果
Resuming ECM residue saved by @c8300eedf4b0 with GMP-ECM 7.0.5-dev on Sat Nov  5 18:54:34 2022 
Input number is 2813432226369793586498713065099602101476543544427328171516222188878355228973363340481311387604413324113743699803167604595530194850004807140826371672856858259946277677015722067909568464374069563054341 (199 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4072337031
Step 1 took 0ms
Step 2 took 7203ms
********** Factor found in step 2: 2351823072684046775837305073346094871621
Found prime factor of 40 digits: 2351823072684046775837305073346094871621
Prime cofactor 1196277160066692317978622358211626164406018697093994356755332043082479534163507497892899305671415840128101300579662080900387487392000408676041426167070911184321 has 160 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:23:58 UTC 2022 年 11 月 3 日 (木) 23 時 23 分 58 秒 (日本時間)

49×10254+329

c222

composite cofactor 合成数の残り
219413776623074773084668356769122423937507619010210527660928878893780913240312314676894783182277333961674292532089349521792492005506021083809115626441610406230508213359262090796167353530546008668978116347886171569837329129<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:24:04 UTC 2022 年 11 月 3 日 (木) 23 時 24 分 4 秒 (日本時間)

49×10255+329

c215

composite cofactor 合成数の残り
17029931927449438656970354789427684336120737200391200733993245708524480075317134976587231425940717340373257697301677971505621255064061385207241036375898152274254108001637094657250144737146976873978869588738091681509<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 22, 2022 23:15:47 UTC 2022 年 9 月 23 日 (金) 8 時 15 分 47 秒 (日本時間)

49×10256+329

c224

composite cofactor 合成数の残り
51880600452485368526937536484637109860225207840306992090886562256063567383561416099218174317364473112767838778595920476893369378045692503728233995264232991269181248143153236132338532625593830469531338863550110477740489031113<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:24:13 UTC 2022 年 11 月 3 日 (木) 23 時 24 分 13 秒 (日本時間)

49×10258+329

c255

composite cofactor 合成数の残り
413963233306298999729656663963233306298999729656663963233306298999729656663963233306298999729656663963233306298999729656663963233306298999729656663963233306298999729656663963233306298999729656663963233306298999729656663963233306298999729656663963233306299<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:24:29 UTC 2022 年 11 月 3 日 (木) 23 時 24 分 29 秒 (日本時間)

49×10261+329

c206

composite cofactor 合成数の残り
22517563003347094481572516277805293088723302914129012969013463169992330761989144313610591022913018605516658943635641021191789707845040075258227847541854945499027647902988537012162495022076734208046248779689<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:24:33 UTC 2022 年 11 月 3 日 (木) 23 時 24 分 33 秒 (日本時間)

49×10262+329

c230

composite cofactor 合成数の残り
11085290285924949440251018490660778449230738462473083577491875617967245910511350841578749264450310733330018043566788696707641099639887850287880837828681583178529635138387616823883079928451800053256616249776753741047908090936640251<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:24:38 UTC 2022 年 11 月 3 日 (木) 23 時 24 分 38 秒 (日本時間)

49×10263+329

c232

composite cofactor 合成数の残り
1894067771298312447775028800938844083361104130839980461951202115997301415858806977505750595474403077424368790088732759115286765481457544977838710609613952358886755884849720072099684878561437081674445692181824753458307856850523511161<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:24:46 UTC 2022 年 11 月 3 日 (木) 23 時 24 分 46 秒 (日本時間)

49×10264+329

c258

composite cofactor 合成数の残り
385626707303222088999999748162150332589656163265470587983456267979648479692677235293865809209156119067927971352940924632738567883773810324294117395220973862001420869147823529159926856214942597339736058823277573915038472009104441941176218750385626707303222089<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:24:51 UTC 2022 年 11 月 3 日 (木) 23 時 24 分 51 秒 (日本時間)

49×10265+329

c230

composite cofactor 合成数の残り
77357608325680356529412766189333694630464649846875880202976985251913000474680489368959150736447663386118086259944229551673202453004932383479041687223343194300404430234929533221428139004790499596029508997307046600776148937649839723<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:24:56 UTC 2022 年 11 月 3 日 (木) 23 時 24 分 56 秒 (日本時間)

49×10267+329

c189

composite cofactor 合成数の残り
227910611270493414261269279664134811667391712181959094353735667435564858253149619902027763156858517996817244749008932071611036756496211683776156788406841090664968776181400875685813925737243<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:25:01 UTC 2022 年 11 月 3 日 (木) 23 時 25 分 1 秒 (日本時間)

49×10268+329

c251

composite cofactor 合成数の残り
38522035918763554224368299090076311467747559998058091720983536575365594683651753043671395137155796478198809642837167879129278981313265276389243221538186441997673110952648936109388530884904717428507039800309066793352486005041998271037463302957692675331<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:25:05 UTC 2022 年 11 月 3 日 (木) 23 時 25 分 5 秒 (日本時間)

49×10269+329

c257

composite cofactor 合成数の残り
25106056116871368837838504144083465197215511443600270142385697520290309438644885314629963613014015604097175519634233734016655342626766762530914175001373717530052755571449290913597503359861757508917364480989929441256251851484801382471623355214689904536220461<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:25:10 UTC 2022 年 11 月 3 日 (木) 23 時 25 分 10 秒 (日本時間)

49×10270+329

c254

composite cofactor 合成数の残り
16014313657964805041768755147140613000777209614867185972678224011280005518676904390619729051264197716032076799299310161251694530876818275705928954024344452793691387481828980540185109807782436197233149317152314955756537296537416770666601782352174279802673<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:25:15 UTC 2022 年 11 月 3 日 (木) 23 時 25 分 15 秒 (日本時間)

49×10271+329

c207

composite cofactor 合成数の残り
266748790650503382166527387032493409068270132517092185468386064506452760502030810537728462632205810678313668208721095194018438351271834135192422747072705570836931350437895435363559181197241279948709663447209<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:25:49 UTC 2022 年 11 月 3 日 (木) 23 時 25 分 49 秒 (日本時間)

49×10273+329

c271

name 名前Dmitry Domanov
date 日付November 6, 2022 19:53:21 UTC 2022 年 11 月 7 日 (月) 4 時 53 分 21 秒 (日本時間)
composite number 合成数
2465780998389694041867954911433172302737520128824476650563607085346215780998389694041867954911433172302737520128824476650563607085346215780998389694041867954911433172302737520128824476650563607085346215780998389694041867954911433172302737520128824476650563607085346215781<271>
prime factors 素因数
2986070032551923991759508641638024386543<40>
composite cofactor 合成数の残り
825761275358439611617153840714801997138083952446390342598700043149249264454920115142132453811128339264839949115720091802273069829149832010469076435633848449576468445485844432450962532036657945631349821159299713229826842738391781867<231>
factorization results 素因数分解の結果
Resuming ECM residue saved by @c8300eedf4b0 with GMP-ECM 7.0.5-dev on Sat Nov  5 19:48:02 2022 
Input number is 2465780998389694041867954911433172302737520128824476650563607085346215780998389694041867954911433172302737520128824476650563607085346215780998389694041867954911433172302737520128824476650563607085346215780998389694041867954911433172302737520128824476650563607085346215781 (271 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2572475768
Step 1 took 0ms
Step 2 took 10570ms
********** Factor found in step 2: 2986070032551923991759508641638024386543
Found prime factor of 40 digits: 2986070032551923991759508641638024386543
Composite cofactor 825761275358439611617153840714801997138083952446390342598700043149249264454920115142132453811128339264839949115720091802273069829149832010469076435633848449576468445485844432450962532036657945631349821159299713229826842738391781867 has 231 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:25:53 UTC 2022 年 11 月 3 日 (木) 23 時 25 分 53 秒 (日本時間)

49×10274+329

c234

composite cofactor 合成数の残り
528659370015196334665707188880751038131207177570605015090523903412113416721663178530482231578811584803122603366903243283113386351739668642978157284249327101035374243171064799322260103496576390403959885999297955360533828466699239656179<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:25:58 UTC 2022 年 11 月 3 日 (木) 23 時 25 分 58 秒 (日本時間)

49×10276+329

c271

composite cofactor 合成数の残り
1251969424556015871497449457227818781053951808273095718734695312544713193734143423982051766329564956466212564581181989954810546876596899776219407999358991654627319873793305877899356784100376674164174992007835999977106844808118566921189495639262742289299166934434821143137<271>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:26:02 UTC 2022 年 11 月 3 日 (木) 23 時 26 分 2 秒 (日本時間)

49×10278+329

c245

composite cofactor 合成数の残り
25555737027592905860104028937817960187482984549466734782795628812145450781485526112395921253850901936793101521428600313081996337049589568230338447931664554712230204695069845901146396907919255338090454023046745023020724191568261127325411515226451<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:26:07 UTC 2022 年 11 月 3 日 (木) 23 時 26 分 7 秒 (日本時間)

49×10279+329

c258

composite cofactor 合成数の残り
875065405067966537331799903547266225739674444521820050559182059387608875346427147868788450770793420011324748797711288477065983379723241165022388425187292552347379583357351994503294373814190712283883031028820044615311091896789230433591129140906029880065834841<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:26:12 UTC 2022 年 11 月 3 日 (木) 23 時 26 分 12 秒 (日本時間)

49×10280+329

c274

composite cofactor 合成数の残り
1743006658883039216255419541275934373935343075502666046070924349583903758941126158167453168185657841162321642752899879307104626044964506408402310865422583925272623315800251493806506853018409451358987431797928016130025507942020512669908289107918662800578296883578082771217243<274>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:26:16 UTC 2022 年 11 月 3 日 (木) 23 時 26 分 16 秒 (日本時間)

49×10281+329

c274

composite cofactor 合成数の残り
4574084683461241917237639389349762459754402494897711219132694995731800228595202929995101360671080430615459262148836130313305309615423505875424844719346560525797046018025164590129302988952625865144244003199484488334149872793398071604730498216323542357577490670136787610394507<274>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:26:21 UTC 2022 年 11 月 3 日 (木) 23 時 26 分 21 秒 (日本時間)

49×10282+329

c254

composite cofactor 合成数の残り
27460312341440027231876727863822735496196189931186290805775417454794627950603586442553543019132596153667769543091948207041597394392303399311809043523131484387458089619108942366277930626523841091247706409413276022460280465009586054085023217437883318865833<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:26:26 UTC 2022 年 11 月 3 日 (木) 23 時 26 分 26 秒 (日本時間)

49×10284+329

c262

composite cofactor 合成数の残り
3809710167817522968668124422312745810623074928815176979838159856773034162621192776998675435689867538354345208385581489194143307548612466432003775377508255564660865721459255148441472465548477889134617357252098865290190817522561128724155058495327381441194936582969<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:26:31 UTC 2022 年 11 月 3 日 (木) 23 時 26 分 31 秒 (日本時間)

49×10285+329

c257

composite cofactor 合成数の残り
18041944214358353530326402684431828313772525032728985887954717423870774622853454437873565965051618067322746310394301845862177453629914867655608442672622438711062162243093654023622931327320340682256134431051178843513688568114586382430962681597066561292101367<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:26:35 UTC 2022 年 11 月 3 日 (木) 23 時 26 分 35 秒 (日本時間)

49×10289+329

c253

composite cofactor 合成数の残り
3028469554027033950827896599119629125803391903714348061527383248535415683398858727128804621377177586315015032991963520518548835886894699230442403021281512744444486682561096112659928567308065453595913158156426681448569328169229012128447045517081637547469<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:26:39 UTC 2022 年 11 月 3 日 (木) 23 時 26 分 39 秒 (日本時間)

49×10290+329

c230

composite cofactor 合成数の残り
10054027769765428253012094688140899849713647226801535885722815568203308854040535319101435936102041614830575847313617937098205746994700094169802898207576746376096402137240544328784381865213511381682133846161530137268538337697797419<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:26:45 UTC 2022 年 11 月 3 日 (木) 23 時 26 分 45 秒 (日本時間)

49×10291+329

c209

composite cofactor 合成数の残り
75623902368215803883581330188352403425398271284116936325779291217966566572094538317077728613601976200766114120240313462929877234635407678735946730653890017677561539908780559486882554010987079905470647754935247<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:26:50 UTC 2022 年 11 月 3 日 (木) 23 時 26 分 50 秒 (日本時間)

49×10292+329

c286

composite cofactor 合成数の残り
3172652594489105033292909854398814189366283752102756442012819899208582457784814073752233288434471800220578347891794365286114731819949556636691962938030661757834975653711470011932281659861391599499668800968340190406810206275771003788950073170433550617302367829623842020651818756121277067<286>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:26:55 UTC 2022 年 11 月 3 日 (木) 23 時 26 分 55 秒 (日本時間)

49×10293+329

c260

name 名前Dmitry Domanov
date 日付November 6, 2022 12:34:39 UTC 2022 年 11 月 6 日 (日) 21 時 34 分 39 秒 (日本時間)
composite number 合成数
57970545890550300837906539997527663738907116483534882127263153065228521600536696185509252285074087749272648179596680753932684172477149011914201123847036422346480313730426741266295177569717615587067522654426150026713302248894016803049227345881380569640932587361<260>
prime factors 素因数
479332153498000380264139934046258229228561<42>
composite cofactor 合成数の残り
120940240431402929721327018786707870878063927614237050734856964442559462738682282740870849123996800442088940556069550908031027487719843485083244761821519402566380773925967613533666201315807772449346747226015624530910801<219>
factorization results 素因数分解の結果
Resuming ECM residue saved by @c8300eedf4b0 with GMP-ECM 7.0.5-dev on Sat Nov  5 20:38:31 2022 
Input number is 57970545890550300837906539997527663738907116483534882127263153065228521600536696185509252285074087749272648179596680753932684172477149011914201123847036422346480313730426741266295177569717615587067522654426150026713302248894016803049227345881380569640932587361 (260 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1583562010
Step 1 took 0ms
Step 2 took 9712ms
********** Factor found in step 2: 479332153498000380264139934046258229228561
Found prime factor of 42 digits: 479332153498000380264139934046258229228561
Composite cofactor 120940240431402929721327018786707870878063927614237050734856964442559462738682282740870849123996800442088940556069550908031027487719843485083244761821519402566380773925967613533666201315807772449346747226015624530910801 has 219 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:27:00 UTC 2022 年 11 月 3 日 (木) 23 時 27 分 0 秒 (日本時間)

49×10294+329

c266

composite cofactor 合成数の残り
10958187349236050587504177891936062814472107507331883506643122922193227393916357448303950418281727897624979104098707912166696405356464750796281106551608689140738254801311375979148069243508269622199927701264358739390376079195927822116486720478195598923307676736131721<266>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:27:05 UTC 2022 年 11 月 3 日 (木) 23 時 27 分 5 秒 (日本時間)

49×10296+329

c180

name 名前Ignacio Santos
date 日付September 12, 2022 15:33:10 UTC 2022 年 9 月 13 日 (火) 0 時 33 分 10 秒 (日本時間)
composite number 合成数
506501580352525819293522150778656214876160068289813629434136831802639736047081632817006538289810350006582063222119731364272350576973916126740427728672281617046214692803322642237841<180>
prime factors 素因数
371364649415338485691795892578575113<36>
1363892823805231496895521448402415736930742837783339222405124572783980763618497060731181426891553016865108559827406268576348052466656385505782857<145>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3732242535
Step 1 took 8562ms
Step 2 took 4282ms
********** Factor found in step 2: 371364649415338485691795892578575113
Found prime factor of 36 digits: 371364649415338485691795892578575113
Prime cofactor 1363892823805231496895521448402415736930742837783339222405124572783980763618497060731181426891553016865108559827406268576348052466656385505782857 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 JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)

49×10300+329

c276

composite cofactor 合成数の残り
478957068021608654972405065998962217032549667464053940796946586068645906075221701925779258231948927336119636788942488867220942669850691431449845120305412723746001183161458053619008600999497891984347293496031565829702438067481216678977683443599578936171470994883381767412133147<276>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasSeptember 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 13, 2022 15:18:59 UTC 2022 年 9 月 14 日 (水) 0 時 18 分 59 秒 (日本時間)
4511e63584Dmitry DomanovSeptember 13, 2022 15:18:59 UTC 2022 年 9 月 14 日 (水) 0 時 18 分 59 秒 (日本時間)
5043e6130 / 6675Dmitry DomanovSeptember 13, 2022 15:18:59 UTC 2022 年 9 月 14 日 (水) 0 時 18 分 59 秒 (日本時間)